id	sid	tid	token	lemma	pos
ejpam-5845	1	1	european	european	PROPN
ejpam-5845	1	2	journal	journal	PROPN
ejpam-5845	1	3	of	of	ADP
ejpam-5845	1	4	pure	pure	ADJ
ejpam-5845	1	5	and	and	CCONJ
ejpam-5845	1	6	applied	applied	ADJ
ejpam-5845	1	7	mathematics	mathematic	NOUN
ejpam-5845	1	8	2025	2025	NUM
ejpam-5845	1	9	,	,	PUNCT
ejpam-5845	1	10	vol	vol	NOUN
ejpam-5845	1	11	.	.	PROPN
ejpam-5845	1	12	18	18	NUM
ejpam-5845	1	13	,	,	PUNCT
ejpam-5845	1	14	issue	issue	NOUN
ejpam-5845	1	15	2	2	NUM
ejpam-5845	1	16	,	,	PUNCT
ejpam-5845	1	17	article	article	NOUN
ejpam-5845	1	18	number	number	NOUN
ejpam-5845	1	19	5845	5845	NUM
ejpam-5845	1	20	issn	issn	PROPN
ejpam-5845	1	21	1307	1307	NUM
ejpam-5845	1	22	-	-	SYM
ejpam-5845	1	23	5543	5543	NUM
ejpam-5845	1	24	–	–	PUNCT
ejpam-5845	1	25	ejpam.com	ejpam.com	X
ejpam-5845	1	26	published	publish	VERB
ejpam-5845	1	27	by	by	ADP
ejpam-5845	1	28	new	new	PROPN
ejpam-5845	1	29	york	york	PROPN
ejpam-5845	1	30	business	business	PROPN
ejpam-5845	1	31	global	global	PROPN
ejpam-5845	2	1	a	a	DET
ejpam-5845	2	2	breakthrough	breakthrough	ADJ
ejpam-5845	2	3	approach	approach	NOUN
ejpam-5845	2	4	to	to	ADP
ejpam-5845	2	5	quadri	quadri	NOUN
ejpam-5845	2	6	-	-	PUNCT
ejpam-5845	2	7	partitioned	partition	VERB
ejpam-5845	2	8	neutrosophic	neutrosophic	ADJ
ejpam-5845	2	9	soft	soft	ADJ
ejpam-5845	2	10	topological	topological	ADJ
ejpam-5845	2	11	spaces	space	NOUN
ejpam-5845	2	12	maha	maha	PROPN
ejpam-5845	2	13	mohammed	mohammed	PROPN
ejpam-5845	2	14	saeed1	saeed1	PROPN
ejpam-5845	2	15	,	,	PUNCT
ejpam-5845	2	16	raed	raed	PROPN
ejpam-5845	2	17	hatamleh2	hatamleh2	PROPN
ejpam-5845	2	18	,	,	PUNCT
ejpam-5845	2	19	alaa	alaa	PROPN
ejpam-5845	2	20	m.	m.	PROPN
ejpam-5845	2	21	abd	abd	PROPN
ejpam-5845	2	22	el	el	PROPN
ejpam-5845	2	23	-	-	PUNCT
ejpam-5845	2	24	latif3	latif3	PROPN
ejpam-5845	2	25	,	,	PUNCT
ejpam-5845	2	26	abdallah	abdallah	PROPN
ejpam-5845	2	27	alhusban4	alhusban4	PROPN
ejpam-5845	2	28	,	,	PUNCT
ejpam-5845	2	29	husham	husham	PROPN
ejpam-5845	2	30	m.	m.	NOUN
ejpam-5845	2	31	attaalfadeel3,∗	attaalfadeel3,∗	PROPN
ejpam-5845	2	32	,	,	PUNCT
ejpam-5845	2	33	takaaki	takaaki	NOUN
ejpam-5845	2	34	fujita5	fujita5	NOUN
ejpam-5845	2	35	,	,	PUNCT
ejpam-5845	2	36	khaled	khaled	PROPN
ejpam-5845	2	37	a.	a.	PROPN
ejpam-5845	2	38	aldwoah6	aldwoah6	PROPN
ejpam-5845	2	39	,	,	PUNCT
ejpam-5845	2	40	arif	arif	PROPN
ejpam-5845	2	41	mehmood7	mehmood7	PROPN
ejpam-5845	2	42	1	1	NUM
ejpam-5845	2	43	department	department	NOUN
ejpam-5845	2	44	of	of	ADP
ejpam-5845	2	45	mathematics	mathematic	NOUN
ejpam-5845	2	46	,	,	PUNCT
ejpam-5845	2	47	faculty	faculty	NOUN
ejpam-5845	2	48	of	of	ADP
ejpam-5845	2	49	sciences	science	NOUN
ejpam-5845	2	50	,	,	PUNCT
ejpam-5845	2	51	king	king	NOUN
ejpam-5845	2	52	abdulaziz	abdulaziz	PROPN
ejpam-5845	2	53	university	university	PROPN
ejpam-5845	2	54	,	,	PUNCT
ejpam-5845	2	55	p.o	p.o	PROPN
ejpam-5845	2	56	.	.	PROPN
ejpam-5845	2	57	box	box	PROPN
ejpam-5845	2	58	80203	80203	NUM
ejpam-5845	2	59	,	,	PUNCT
ejpam-5845	2	60	jeddah	jeddah	PROPN
ejpam-5845	2	61	21589	21589	NUM
ejpam-5845	2	62	,	,	PUNCT
ejpam-5845	2	63	15	15	NUM
ejpam-5845	2	64	saudi	saudi	ADJ
ejpam-5845	2	65	,	,	PUNCT
ejpam-5845	2	66	arabia	arabia	PROPN
ejpam-5845	2	67	2	2	NUM
ejpam-5845	2	68	department	department	NOUN
ejpam-5845	2	69	of	of	ADP
ejpam-5845	2	70	mathematics	mathematic	NOUN
ejpam-5845	2	71	,	,	PUNCT
ejpam-5845	2	72	faculty	faculty	NOUN
ejpam-5845	2	73	of	of	ADP
ejpam-5845	2	74	science	science	NOUN
ejpam-5845	2	75	,	,	PUNCT
ejpam-5845	2	76	jadara	jadara	PROPN
ejpam-5845	2	77	university	university	PROPN
ejpam-5845	2	78	,	,	PUNCT
ejpam-5845	2	79	p.o	p.o	PROPN
ejpam-5845	2	80	.	.	PROPN
ejpam-5845	2	81	box	box	PROPN
ejpam-5845	2	82	733	733	NUM
ejpam-5845	2	83	,	,	PUNCT
ejpam-5845	2	84	irbid	irbid	ADJ
ejpam-5845	2	85	21110	21110	NUM
ejpam-5845	2	86	,	,	PUNCT
ejpam-5845	2	87	jordan	jordan	PROPN
ejpam-5845	2	88	3	3	NUM
ejpam-5845	2	89	department	department	PROPN
ejpam-5845	2	90	of	of	ADP
ejpam-5845	2	91	mathematics	mathematics	PROPN
ejpam-5845	2	92	,	,	PUNCT
ejpam-5845	2	93	college	college	NOUN
ejpam-5845	2	94	of	of	ADP
ejpam-5845	2	95	science	science	NOUN
ejpam-5845	2	96	,	,	PUNCT
ejpam-5845	2	97	northern	northern	ADJ
ejpam-5845	2	98	border	border	NOUN
ejpam-5845	2	99	university	university	NOUN
ejpam-5845	2	100	,	,	PUNCT
ejpam-5845	2	101	arar	arar	NOUN
ejpam-5845	2	102	91431	91431	NUM
ejpam-5845	2	103	,	,	PUNCT
ejpam-5845	2	104	saudi	saudi	PROPN
ejpam-5845	2	105	arabia	arabia	PROPN
ejpam-5845	2	106	4	4	NUM
ejpam-5845	2	107	department	department	NOUN
ejpam-5845	2	108	of	of	ADP
ejpam-5845	2	109	mathematics	mathematic	NOUN
ejpam-5845	2	110	,	,	PUNCT
ejpam-5845	2	111	faculty	faculty	NOUN
ejpam-5845	2	112	of	of	ADP
ejpam-5845	2	113	science	science	NOUN
ejpam-5845	2	114	and	and	CCONJ
ejpam-5845	2	115	technology	technology	NOUN
ejpam-5845	2	116	,	,	PUNCT
ejpam-5845	2	117	irbid	irbid	VERB
ejpam-5845	2	118	national	national	ADJ
ejpam-5845	2	119	university	university	PROPN
ejpam-5845	2	120	,	,	PUNCT
ejpam-5845	2	121	p.o	p.o	PROPN
ejpam-5845	2	122	.	.	PROPN
ejpam-5845	2	123	box	box	PROPN
ejpam-5845	2	124	:	:	PUNCT
ejpam-5845	2	125	2600	2600	NUM
ejpam-5845	2	126	irbid	irbid	ADJ
ejpam-5845	2	127	,	,	PUNCT
ejpam-5845	2	128	jordan	jordan	PROPN
ejpam-5845	2	129	5	5	NUM
ejpam-5845	2	130	independent	independent	ADJ
ejpam-5845	2	131	researcher	researcher	NOUN
ejpam-5845	2	132	,	,	PUNCT
ejpam-5845	2	133	shinjuku	shinjuku	PROPN
ejpam-5845	2	134	,	,	PUNCT
ejpam-5845	2	135	shinjuku	shinjuku	PROPN
ejpam-5845	2	136	-	-	PUNCT
ejpam-5845	2	137	ku	ku	PROPN
ejpam-5845	2	138	,	,	PUNCT
ejpam-5845	2	139	tokyo	tokyo	PROPN
ejpam-5845	2	140	,	,	PUNCT
ejpam-5845	2	141	japan	japan	PROPN
ejpam-5845	2	142	6	6	NUM
ejpam-5845	2	143	department	department	NOUN
ejpam-5845	2	144	of	of	ADP
ejpam-5845	2	145	mathematics	mathematic	NOUN
ejpam-5845	2	146	,	,	PUNCT
ejpam-5845	2	147	faculty	faculty	NOUN
ejpam-5845	2	148	of	of	ADP
ejpam-5845	2	149	science	science	NOUN
ejpam-5845	2	150	,	,	PUNCT
ejpam-5845	2	151	islamic	islamic	PROPN
ejpam-5845	2	152	university	university	PROPN
ejpam-5845	2	153	of	of	ADP
ejpam-5845	2	154	madinah	madinah	PROPN
ejpam-5845	2	155	,	,	PUNCT
ejpam-5845	2	156	medinah	medinah	PROPN
ejpam-5845	2	157	,	,	PUNCT
ejpam-5845	2	158	saudi	saudi	PROPN
ejpam-5845	2	159	arabia	arabia	PROPN
ejpam-5845	2	160	7	7	NUM
ejpam-5845	2	161	department	department	NOUN
ejpam-5845	2	162	of	of	ADP
ejpam-5845	2	163	mathematics	mathematics	PROPN
ejpam-5845	2	164	,	,	PUNCT
ejpam-5845	2	165	institute	institute	PROPN
ejpam-5845	2	166	of	of	ADP
ejpam-5845	2	167	numerical	numerical	PROPN
ejpam-5845	2	168	sciences	sciences	PROPN
ejpam-5845	2	169	,	,	PUNCT
ejpam-5845	2	170	gomal	gomal	ADJ
ejpam-5845	2	171	university	university	NOUN
ejpam-5845	2	172	,	,	PUNCT
ejpam-5845	2	173	dera	dera	PROPN
ejpam-5845	2	174	ismail	ismail	PROPN
ejpam-5845	2	175	khan	khan	PROPN
ejpam-5845	2	176	29050	29050	NUM
ejpam-5845	2	177	,	,	PUNCT
ejpam-5845	2	178	kpk	kpk	PROPN
ejpam-5845	2	179	,	,	PUNCT
ejpam-5845	2	180	pakistan	pakistan	PROPN
ejpam-5845	2	181	abstract	abstract	NOUN
ejpam-5845	2	182	.	.	PUNCT
ejpam-5845	3	1	neutrosophic	neutrosophic	ADJ
ejpam-5845	3	2	set	set	PROPN
ejpam-5845	3	3	theory	theory	NOUN
ejpam-5845	3	4	,	,	PUNCT
ejpam-5845	3	5	an	an	DET
ejpam-5845	3	6	advanced	advanced	ADJ
ejpam-5845	3	7	framework	framework	NOUN
ejpam-5845	3	8	for	for	ADP
ejpam-5845	3	9	error	error	NOUN
ejpam-5845	3	10	reduction	reduction	NOUN
ejpam-5845	3	11	,	,	PUNCT
ejpam-5845	3	12	extends	extend	VERB
ejpam-5845	3	13	fuzzy	fuzzy	ADJ
ejpam-5845	3	14	sets	set	NOUN
ejpam-5845	3	15	(	(	PUNCT
ejpam-5845	3	16	fss	fss	NOUN
ejpam-5845	3	17	)	)	PUNCT
ejpam-5845	3	18	and	and	CCONJ
ejpam-5845	3	19	intuitionistic	intuitionistic	ADJ
ejpam-5845	3	20	fuzzy	fuzzy	ADJ
ejpam-5845	3	21	sets	set	NOUN
ejpam-5845	3	22	(	(	PUNCT
ejpam-5845	3	23	ifss	ifss	NOUN
ejpam-5845	3	24	)	)	PUNCT
ejpam-5845	3	25	.	.	PUNCT
ejpam-5845	4	1	it	it	PRON
ejpam-5845	4	2	enhances	enhance	VERB
ejpam-5845	4	3	effectiveness	effectiveness	NOUN
ejpam-5845	4	4	by	by	ADP
ejpam-5845	4	5	refining	refine	VERB
ejpam-5845	4	6	the	the	DET
ejpam-5845	4	7	definition	definition	NOUN
ejpam-5845	4	8	of	of	ADP
ejpam-5845	4	9	indeterminacy	indeterminacy	NOUN
ejpam-5845	4	10	,	,	PUNCT
ejpam-5845	4	11	a	a	DET
ejpam-5845	4	12	concept	concept	NOUN
ejpam-5845	4	13	for	for	ADP
ejpam-5845	4	14	situations	situation	NOUN
ejpam-5845	4	15	where	where	SCONJ
ejpam-5845	4	16	values	value	NOUN
ejpam-5845	4	17	can	can	AUX
ejpam-5845	4	18	not	not	PART
ejpam-5845	4	19	be	be	AUX
ejpam-5845	4	20	precisely	precisely	ADV
ejpam-5845	4	21	determined	determine	VERB
ejpam-5845	4	22	.	.	PUNCT
ejpam-5845	5	1	in	in	ADP
ejpam-5845	5	2	this	this	DET
ejpam-5845	5	3	paper	paper	NOUN
ejpam-5845	5	4	,	,	PUNCT
ejpam-5845	5	5	we	we	PRON
ejpam-5845	5	6	propose	propose	VERB
ejpam-5845	5	7	dividing	divide	VERB
ejpam-5845	5	8	indeterminacy	indeterminacy	NOUN
ejpam-5845	5	9	into	into	ADP
ejpam-5845	5	10	two	two	NUM
ejpam-5845	5	11	components	component	NOUN
ejpam-5845	5	12	based	base	VERB
ejpam-5845	5	13	on	on	ADP
ejpam-5845	5	14	membership	membership	NOUN
ejpam-5845	5	15	:	:	PUNCT
ejpam-5845	5	16	relative	relative	ADJ
ejpam-5845	5	17	truth	truth	NOUN
ejpam-5845	5	18	(	(	PUNCT
ejpam-5845	5	19	rt	rt	PROPN
ejpam-5845	5	20	)	)	PUNCT
ejpam-5845	5	21	,	,	PUNCT
ejpam-5845	5	22	which	which	PRON
ejpam-5845	5	23	leans	lean	VERB
ejpam-5845	5	24	toward	toward	ADP
ejpam-5845	5	25	truth	truth	NOUN
ejpam-5845	5	26	,	,	PUNCT
ejpam-5845	5	27	and	and	CCONJ
ejpam-5845	5	28	relative	relative	ADJ
ejpam-5845	5	29	falsehood	falsehood	NOUN
ejpam-5845	5	30	(	(	PUNCT
ejpam-5845	5	31	rf	rf	NOUN
ejpam-5845	5	32	)	)	PUNCT
ejpam-5845	5	33	,	,	PUNCT
ejpam-5845	5	34	which	which	PRON
ejpam-5845	5	35	leans	lean	VERB
ejpam-5845	5	36	toward	toward	ADP
ejpam-5845	5	37	falsehood	falsehood	NOUN
ejpam-5845	5	38	.	.	PUNCT
ejpam-5845	6	1	this	this	DET
ejpam-5845	6	2	approach	approach	NOUN
ejpam-5845	6	3	improves	improve	VERB
ejpam-5845	6	4	accuracy	accuracy	NOUN
ejpam-5845	6	5	by	by	ADP
ejpam-5845	6	6	considering	consider	VERB
ejpam-5845	6	7	,	,	PUNCT
ejpam-5845	6	8	relative	relative	ADJ
ejpam-5845	6	9	truth	truth	NOUN
ejpam-5845	6	10	and	and	CCONJ
ejpam-5845	6	11	relative	relative	ADJ
ejpam-5845	6	12	falsehood	falsehood	NOUN
ejpam-5845	6	13	,	,	PUNCT
ejpam-5845	6	14	rather	rather	ADV
ejpam-5845	6	15	than	than	ADP
ejpam-5845	6	16	a	a	DET
ejpam-5845	6	17	single	single	ADJ
ejpam-5845	6	18	indeterminate	indeterminate	ADJ
ejpam-5845	6	19	value	value	NOUN
ejpam-5845	6	20	.	.	PUNCT
ejpam-5845	7	1	the	the	DET
ejpam-5845	7	2	modified	modify	VERB
ejpam-5845	7	3	neutrosophic	neutrosophic	ADJ
ejpam-5845	7	4	set	set	NOUN
ejpam-5845	7	5	,	,	PUNCT
ejpam-5845	7	6	called	call	VERB
ejpam-5845	7	7	the	the	DET
ejpam-5845	7	8	quadri	quadri	NOUN
ejpam-5845	7	9	-	-	PUNCT
ejpam-5845	7	10	portioned	portion	VERB
ejpam-5845	7	11	neutrosophic	neutrosophic	ADJ
ejpam-5845	7	12	soft	soft	ADJ
ejpam-5845	7	13	set	set	NOUN
ejpam-5845	7	14	(	(	PUNCT
ejpam-5845	7	15	qpnss	qpnss	NOUN
ejpam-5845	7	16	)	)	PUNCT
ejpam-5845	7	17	,	,	PUNCT
ejpam-5845	7	18	includes	include	VERB
ejpam-5845	7	19	four	four	NUM
ejpam-5845	7	20	membership	membership	NOUN
ejpam-5845	7	21	attributes	attribute	VERB
ejpam-5845	7	22	:	:	PUNCT
ejpam-5845	7	23	absolute	absolute	ADJ
ejpam-5845	7	24	truth	truth	NOUN
ejpam-5845	7	25	,	,	PUNCT
ejpam-5845	7	26	relative	relative	ADJ
ejpam-5845	7	27	truth	truth	NOUN
ejpam-5845	7	28	,	,	PUNCT
ejpam-5845	7	29	relative	relative	ADJ
ejpam-5845	7	30	falsehood	falsehood	NOUN
ejpam-5845	7	31	,	,	PUNCT
ejpam-5845	7	32	and	and	CCONJ
ejpam-5845	7	33	absolute	absolute	ADJ
ejpam-5845	7	34	falsehood	falsehood	NOUN
ejpam-5845	7	35	,	,	PUNCT
ejpam-5845	7	36	offering	offer	VERB
ejpam-5845	7	37	greater	great	ADJ
ejpam-5845	7	38	clarity	clarity	NOUN
ejpam-5845	7	39	in	in	ADP
ejpam-5845	7	40	uncertain	uncertain	ADJ
ejpam-5845	7	41	situations	situation	NOUN
ejpam-5845	7	42	.	.	PUNCT
ejpam-5845	8	1	new	new	ADJ
ejpam-5845	8	2	operations	operation	NOUN
ejpam-5845	8	3	are	be	AUX
ejpam-5845	8	4	introduced	introduce	VERB
ejpam-5845	8	5	on	on	ADP
ejpam-5845	8	6	qpnss	qpnss	NOUN
ejpam-5845	8	7	,	,	PUNCT
ejpam-5845	8	8	such	such	ADJ
ejpam-5845	8	9	as	as	ADP
ejpam-5845	8	10	the	the	DET
ejpam-5845	8	11	quadripartitioned	quadripartitione	VERB
ejpam-5845	8	12	neutrosophic	neutrosophic	ADJ
ejpam-5845	8	13	soft	soft	ADJ
ejpam-5845	8	14	set	set	NOUN
ejpam-5845	8	15	,	,	PUNCT
ejpam-5845	8	16	subsets	subset	NOUN
ejpam-5845	8	17	,	,	PUNCT
ejpam-5845	8	18	complement	complement	NOUN
ejpam-5845	8	19	,	,	PUNCT
ejpam-5845	8	20	absolute	absolute	ADJ
ejpam-5845	8	21	set	set	NOUN
ejpam-5845	8	22	,	,	PUNCT
ejpam-5845	8	23	set	set	ADJ
ejpam-5845	8	24	difference	difference	NOUN
ejpam-5845	8	25	,	,	PUNCT
ejpam-5845	8	26	and	and	CCONJ
ejpam-5845	8	27	null	null	ADJ
ejpam-5845	8	28	set	set	NOUN
ejpam-5845	8	29	.	.	PUNCT
ejpam-5845	9	1	and	and	CCONJ
ejpam-5845	9	2	and	and	CCONJ
ejpam-5845	9	3	or	or	CCONJ
ejpam-5845	9	4	operations	operation	NOUN
ejpam-5845	9	5	are	be	AUX
ejpam-5845	9	6	also	also	ADV
ejpam-5845	9	7	defined	define	VERB
ejpam-5845	9	8	.	.	PUNCT
ejpam-5845	10	1	additionally	additionally	ADV
ejpam-5845	10	2	,	,	PUNCT
ejpam-5845	10	3	a	a	DET
ejpam-5845	10	4	quadri	quadri	NOUN
ejpam-5845	10	5	-	-	PUNCT
ejpam-5845	10	6	partitioned	partition	VERB
ejpam-5845	10	7	neutrosophic	neutrosophic	ADJ
ejpam-5845	10	8	soft	soft	ADJ
ejpam-5845	10	9	topological	topological	ADJ
ejpam-5845	10	10	space	space	NOUN
ejpam-5845	10	11	(	(	PUNCT
ejpam-5845	10	12	qpnsts	qpnst	NOUN
ejpam-5845	10	13	)	)	PUNCT
ejpam-5845	10	14	is	be	AUX
ejpam-5845	10	15	defined	define	VERB
ejpam-5845	10	16	,	,	PUNCT
ejpam-5845	10	17	with	with	ADP
ejpam-5845	10	18	key	key	ADJ
ejpam-5845	10	19	results	result	NOUN
ejpam-5845	10	20	presented	present	VERB
ejpam-5845	10	21	.	.	PUNCT
ejpam-5845	11	1	we	we	PRON
ejpam-5845	11	2	define	define	VERB
ejpam-5845	11	3	and	and	CCONJ
ejpam-5845	11	4	explore	explore	VERB
ejpam-5845	11	5	new	new	ADJ
ejpam-5845	11	6	concepts	concept	NOUN
ejpam-5845	11	7	such	such	ADJ
ejpam-5845	11	8	as	as	ADP
ejpam-5845	11	9	preopen	preopen	ADJ
ejpam-5845	11	10	(	(	PUNCT
ejpam-5845	11	11	p	p	NOUN
ejpam-5845	11	12	-	-	PUNCT
ejpam-5845	11	13	open	open	ADJ
ejpam-5845	11	14	)	)	PUNCT
ejpam-5845	11	15	sets	set	NOUN
ejpam-5845	11	16	,	,	PUNCT
ejpam-5845	11	17	interior	interior	NOUN
ejpam-5845	11	18	,	,	PUNCT
ejpam-5845	11	19	and	and	CCONJ
ejpam-5845	11	20	closure	closure	NOUN
ejpam-5845	11	21	.	.	PUNCT
ejpam-5845	12	1	the	the	DET
ejpam-5845	12	2	paper	paper	NOUN
ejpam-5845	12	3	also	also	ADV
ejpam-5845	12	4	examines	examine	VERB
ejpam-5845	12	5	qpns	qpns	NOUN
ejpam-5845	12	6	compactness	compactness	NOUN
ejpam-5845	12	7	,	,	PUNCT
ejpam-5845	12	8	reducibility	reducibility	NOUN
ejpam-5845	12	9	to	to	PART
ejpam-5845	12	10	finite	finite	VERB
ejpam-5845	12	11	sub	sub	NOUN
ejpam-5845	12	12	-	-	NOUN
ejpam-5845	12	13	covers	cover	NOUN
ejpam-5845	12	14	,	,	PUNCT
ejpam-5845	12	15	and	and	CCONJ
ejpam-5845	12	16	other	other	ADJ
ejpam-5845	12	17	important	important	ADJ
ejpam-5845	12	18	properties	property	NOUN
ejpam-5845	12	19	like	like	ADP
ejpam-5845	12	20	the	the	DET
ejpam-5845	12	21	intersection	intersection	NOUN
ejpam-5845	12	22	of	of	ADP
ejpam-5845	12	23	qpns	qpns	NOUN
ejpam-5845	12	24	p	p	NOUN
ejpam-5845	12	25	-	-	PUNCT
ejpam-5845	12	26	closed	close	VERB
ejpam-5845	12	27	sets	set	NOUN
ejpam-5845	12	28	and	and	CCONJ
ejpam-5845	12	29	qpns	qpns	NOUN
ejpam-5845	12	30	p	p	ADJ
ejpam-5845	12	31	-	-	PUNCT
ejpam-5845	12	32	compact	compact	ADJ
ejpam-5845	12	33	spaces	space	NOUN
ejpam-5845	12	34	.	.	PUNCT
ejpam-5845	13	1	this	this	DET
ejpam-5845	13	2	work	work	NOUN
ejpam-5845	13	3	contributes	contribute	VERB
ejpam-5845	13	4	to	to	ADP
ejpam-5845	13	5	the	the	DET
ejpam-5845	13	6	theoretical	theoretical	ADJ
ejpam-5845	13	7	understanding	understanding	NOUN
ejpam-5845	13	8	of	of	ADP
ejpam-5845	13	9	qpns	qpns	NOUN
ejpam-5845	13	10	spaces	space	NOUN
ejpam-5845	13	11	,	,	PUNCT
ejpam-5845	13	12	particularly	particularly	ADV
ejpam-5845	13	13	in	in	ADP
ejpam-5845	13	14	soft	soft	ADJ
ejpam-5845	13	15	topological	topological	ADJ
ejpam-5845	13	16	spaces	space	NOUN
ejpam-5845	13	17	.	.	PUNCT
ejpam-5845	14	1	2020	2020	NUM
ejpam-5845	14	2	mathematics	mathematic	NOUN
ejpam-5845	14	3	subject	subject	NOUN
ejpam-5845	14	4	classifications	classification	NOUN
ejpam-5845	14	5	:	:	PUNCT
ejpam-5845	14	6	54a05	54a05	NUM
ejpam-5845	14	7	key	key	ADJ
ejpam-5845	14	8	words	word	NOUN
ejpam-5845	14	9	and	and	CCONJ
ejpam-5845	14	10	phrases	phrase	NOUN
ejpam-5845	14	11	:	:	PUNCT
ejpam-5845	14	12	neutrosophic	neutrosophic	ADJ
ejpam-5845	14	13	soft	soft	ADJ
ejpam-5845	14	14	set	set	NOUN
ejpam-5845	14	15	,	,	PUNCT
ejpam-5845	14	16	qpnss	qpnss	NOUN
ejpam-5845	14	17	,	,	PUNCT
ejpam-5845	14	18	qpnsts	qpnst	NOUN
ejpam-5845	14	19	,	,	PUNCT
ejpam-5845	14	20	qpns	qpns	NOUN
ejpam-5845	14	21	popen	popen	NOUN
ejpam-5845	14	22	sets	set	NOUN
ejpam-5845	14	23	,	,	PUNCT
ejpam-5845	14	24	qpns	qpns	NOUN
ejpam-5845	14	25	p	p	NOUN
ejpam-5845	14	26	-	-	PUNCT
ejpam-5845	14	27	closed	close	VERB
ejpam-5845	14	28	sets	set	NOUN
ejpam-5845	14	29	,	,	PUNCT
ejpam-5845	14	30	qpns	qpns	NOUN
ejpam-5845	14	31	p	p	X
ejpam-5845	14	32	compact	compact	ADJ
ejpam-5845	14	33	subsets	subset	NOUN
ejpam-5845	14	34	.	.	PUNCT
ejpam-5845	15	1	∗corresponding	∗corresponde	VERB
ejpam-5845	15	2	author	author	NOUN
ejpam-5845	15	3	.	.	PUNCT
ejpam-5845	16	1	doi	doi	NOUN
ejpam-5845	16	2	:	:	PUNCT
ejpam-5845	16	3	https://doi.org/10.29020/nybg.ejpam.v18i2.5845	https://doi.org/10.29020/nybg.ejpam.v18i2.5845	ADJ
ejpam-5845	16	4	email	email	NOUN
ejpam-5845	16	5	addresses	address	NOUN
ejpam-5845	16	6	:	:	PUNCT
ejpam-5845	16	7	(	(	PUNCT
ejpam-5845	16	8	mmmohammed@kau.edu.sa	mmmohammed@kau.edu.sa	NOUN
ejpam-5845	16	9	)	)	PUNCT
ejpam-5845	16	10	(	(	PUNCT
ejpam-5845	16	11	m.	m.	NOUN
ejpam-5845	16	12	m.	m.	PROPN
ejpam-5845	16	13	saeed	saeed	PROPN
ejpam-5845	16	14	)	)	PUNCT
ejpam-5845	16	15	,	,	PUNCT
ejpam-5845	16	16	(	(	PUNCT
ejpam-5845	16	17	raed@jadara.edu.jo	raed@jadara.edu.jo	NOUN
ejpam-5845	16	18	)	)	PUNCT
ejpam-5845	16	19	(	(	PUNCT
ejpam-5845	16	20	r.	r.	PROPN
ejpam-5845	16	21	hatamleh	hatamleh	PROPN
ejpam-5845	16	22	)	)	PUNCT
ejpam-5845	16	23	,	,	PUNCT
ejpam-5845	16	24	(	(	PUNCT
ejpam-5845	16	25	alaa.ali@nbu.edu.sa	alaa.ali@nbu.edu.sa	PROPN
ejpam-5845	16	26	)	)	PUNCT
ejpam-5845	16	27	(	(	PUNCT
ejpam-5845	16	28	a.	a.	NOUN
ejpam-5845	16	29	m.	m.	PROPN
ejpam-5845	16	30	a.	a.	PROPN
ejpam-5845	16	31	el	el	PROPN
ejpam-5845	16	32	-	-	PROPN
ejpam-5845	16	33	latif	latif	PROPN
ejpam-5845	16	34	)	)	PUNCT
ejpam-5845	16	35	,	,	PUNCT
ejpam-5845	16	36	(	(	PUNCT
ejpam-5845	16	37	dralhosban@inu.edu.jo	dralhosban@inu.edu.jo	NOUN
ejpam-5845	16	38	)	)	PUNCT
ejpam-5845	16	39	(	(	PUNCT
ejpam-5845	16	40	a.	a.	NOUN
ejpam-5845	16	41	alhusban	alhusban	PROPN
ejpam-5845	16	42	)	)	PUNCT
ejpam-5845	16	43	,	,	PUNCT
ejpam-5845	16	44	(	(	PUNCT
ejpam-5845	16	45	husham.alhassan@nbu.edu.sa	husham.alhassan@nbu.edu.sa	PROPN
ejpam-5845	16	46	)	)	PUNCT
ejpam-5845	16	47	(	(	PUNCT
ejpam-5845	16	48	h.	h.	PROPN
ejpam-5845	16	49	m.	m.	PROPN
ejpam-5845	16	50	attaalfadeel	attaalfadeel	PROPN
ejpam-5845	16	51	)	)	PUNCT
ejpam-5845	16	52	,	,	PUNCT
ejpam-5845	16	53	(	(	PUNCT
ejpam-5845	16	54	t171d603@gunma-u.ac.jp	t171d603@gunma-u.ac.jp	NUM
ejpam-5845	16	55	)	)	PUNCT
ejpam-5845	16	56	(	(	PUNCT
ejpam-5845	16	57	t.	t.	PROPN
ejpam-5845	16	58	fujita	fujita	PROPN
ejpam-5845	16	59	)	)	PUNCT
ejpam-5845	16	60	,	,	PUNCT
ejpam-5845	16	61	(	(	PUNCT
ejpam-5845	16	62	aldwoah@yahoo.com	aldwoah@yahoo.com	X
ejpam-5845	16	63	)	)	PUNCT
ejpam-5845	16	64	(	(	PUNCT
ejpam-5845	16	65	k.	k.	PROPN
ejpam-5845	16	66	a.	a.	PROPN
ejpam-5845	16	67	aldwoah	aldwoah	PROPN
ejpam-5845	16	68	)	)	PUNCT
ejpam-5845	16	69	,	,	PUNCT
ejpam-5845	16	70	(	(	PUNCT
ejpam-5845	16	71	mehdaniyal@gmail.com	mehdaniyal@gmail.com	X
ejpam-5845	16	72	)	)	PUNCT
ejpam-5845	16	73	(	(	PUNCT
ejpam-5845	16	74	a.	a.	PROPN
ejpam-5845	16	75	mehmood	mehmood	PROPN
ejpam-5845	16	76	)	)	PUNCT
ejpam-5845	16	77	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5845	17	1	1	1	NUM
ejpam-5845	17	2	copyright	copyright	NOUN
ejpam-5845	17	3	:	:	PUNCT
ejpam-5845	17	4	©	©	PROPN
ejpam-5845	17	5	2025	2025	NUM
ejpam-5845	17	6	the	the	DET
ejpam-5845	17	7	author(s	author(s	NOUN
ejpam-5845	17	8	)	)	PUNCT
ejpam-5845	17	9	.	.	PUNCT
ejpam-5845	18	1	(	(	PUNCT
ejpam-5845	18	2	cc	cc	NOUN
ejpam-5845	18	3	by	by	ADP
ejpam-5845	18	4	-	-	PUNCT
ejpam-5845	18	5	nc	nc	PROPN
ejpam-5845	18	6	4.0	4.0	NUM
ejpam-5845	18	7	)	)	PUNCT
ejpam-5845	18	8	m.	m.	NOUN
ejpam-5845	18	9	m.	m.	PROPN
ejpam-5845	18	10	saeed	saeed	PROPN
ejpam-5845	18	11	et	et	PROPN
ejpam-5845	18	12	al	al	PROPN
ejpam-5845	18	13	.	.	PUNCT
ejpam-5845	18	14	/	/	SYM
ejpam-5845	18	15	eur	eur	PROPN
ejpam-5845	18	16	.	.	PUNCT
ejpam-5845	19	1	j.	j.	PROPN
ejpam-5845	19	2	pure	pure	PROPN
ejpam-5845	19	3	appl	appl	PROPN
ejpam-5845	19	4	.	.	PROPN
ejpam-5845	19	5	math	math	PROPN
ejpam-5845	19	6	,	,	PUNCT
ejpam-5845	19	7	18	18	NUM
ejpam-5845	19	8	(	(	PUNCT
ejpam-5845	19	9	2	2	NUM
ejpam-5845	19	10	)	)	PUNCT
ejpam-5845	19	11	(	(	PUNCT
ejpam-5845	19	12	2025	2025	NUM
ejpam-5845	19	13	)	)	PUNCT
ejpam-5845	19	14	,	,	PUNCT
ejpam-5845	19	15	5845	5845	NUM
ejpam-5845	19	16	2	2	NUM
ejpam-5845	19	17	of	of	ADP
ejpam-5845	19	18	32	32	NUM
ejpam-5845	19	19	1	1	NUM
ejpam-5845	19	20	.	.	PUNCT
ejpam-5845	20	1	introduction	introduction	NOUN
ejpam-5845	20	2	the	the	DET
ejpam-5845	20	3	most	most	ADV
ejpam-5845	20	4	significant	significant	ADJ
ejpam-5845	20	5	method	method	NOUN
ejpam-5845	20	6	for	for	ADP
ejpam-5845	20	7	dealing	deal	VERB
ejpam-5845	20	8	with	with	ADP
ejpam-5845	20	9	ambiguity	ambiguity	NOUN
ejpam-5845	20	10	and	and	CCONJ
ejpam-5845	20	11	missing	miss	VERB
ejpam-5845	20	12	data	datum	NOUN
ejpam-5845	20	13	that	that	PRON
ejpam-5845	20	14	arise	arise	VERB
ejpam-5845	20	15	in	in	ADP
ejpam-5845	20	16	many	many	ADJ
ejpam-5845	20	17	scientific	scientific	ADJ
ejpam-5845	20	18	domains	domain	NOUN
ejpam-5845	20	19	is	be	AUX
ejpam-5845	20	20	fuzzy	fuzzy	ADJ
ejpam-5845	20	21	set	set	NOUN
ejpam-5845	20	22	theory	theory	NOUN
ejpam-5845	20	23	(	(	PUNCT
ejpam-5845	20	24	fst	fst	NOUN
ejpam-5845	20	25	)	)	PUNCT
ejpam-5845	21	1	[	[	X
ejpam-5845	21	2	1	1	NUM
ejpam-5845	21	3	]	]	PUNCT
ejpam-5845	21	4	.	.	PUNCT
ejpam-5845	22	1	this	this	DET
ejpam-5845	22	2	theory	theory	NOUN
ejpam-5845	22	3	is	be	AUX
ejpam-5845	22	4	only	only	ADV
ejpam-5845	22	5	helpful	helpful	ADJ
ejpam-5845	22	6	when	when	SCONJ
ejpam-5845	22	7	discussing	discuss	VERB
ejpam-5845	22	8	membership	membership	NOUN
ejpam-5845	22	9	value	value	NOUN
ejpam-5845	22	10	;	;	PUNCT
ejpam-5845	22	11	it	it	PRON
ejpam-5845	22	12	can	can	AUX
ejpam-5845	22	13	not	not	PART
ejpam-5845	22	14	sufficiently	sufficiently	ADV
ejpam-5845	22	15	address	address	VERB
ejpam-5845	22	16	the	the	DET
ejpam-5845	22	17	non	non	ADJ
ejpam-5845	22	18	-	-	ADJ
ejpam-5845	22	19	membership	membership	ADJ
ejpam-5845	22	20	value	value	NOUN
ejpam-5845	22	21	.	.	PUNCT
ejpam-5845	23	1	this	this	DET
ejpam-5845	23	2	challenge	challenge	NOUN
ejpam-5845	23	3	was	be	AUX
ejpam-5845	23	4	expertly	expertly	ADV
ejpam-5845	23	5	resolved	resolve	VERB
ejpam-5845	23	6	by	by	ADP
ejpam-5845	23	7	atanassov	atanassov	NOUN
ejpam-5845	23	8	[	[	X
ejpam-5845	23	9	2	2	NUM
ejpam-5845	23	10	]	]	PUNCT
ejpam-5845	23	11	,	,	PUNCT
ejpam-5845	23	12	who	who	PRON
ejpam-5845	23	13	introduced	introduce	VERB
ejpam-5845	23	14	the	the	DET
ejpam-5845	23	15	concept	concept	NOUN
ejpam-5845	23	16	of	of	ADP
ejpam-5845	23	17	intuitionistic	intuitionistic	ADJ
ejpam-5845	23	18	fuzzy	fuzzy	ADJ
ejpam-5845	23	19	set	set	NOUN
ejpam-5845	23	20	theory	theory	NOUN
ejpam-5845	23	21	(	(	PUNCT
ejpam-5845	23	22	ifst	ifst	NOUN
ejpam-5845	23	23	)	)	PUNCT
ejpam-5845	23	24	.	.	PUNCT
ejpam-5845	24	1	this	this	DET
ejpam-5845	24	2	method	method	NOUN
ejpam-5845	24	3	captures	capture	VERB
ejpam-5845	24	4	the	the	DET
ejpam-5845	24	5	value	value	NOUN
ejpam-5845	24	6	of	of	ADP
ejpam-5845	24	7	membership	membership	NOUN
ejpam-5845	24	8	as	as	ADV
ejpam-5845	24	9	well	well	ADV
ejpam-5845	24	10	as	as	ADP
ejpam-5845	24	11	non	non	ADJ
ejpam-5845	24	12	-	-	NOUN
ejpam-5845	24	13	membership	membership	NOUN
ejpam-5845	24	14	.	.	PUNCT
ejpam-5845	25	1	the	the	DET
ejpam-5845	25	2	concept	concept	NOUN
ejpam-5845	25	3	of	of	ADP
ejpam-5845	25	4	soft	soft	ADJ
ejpam-5845	25	5	set	set	NOUN
ejpam-5845	25	6	theory	theory	NOUN
ejpam-5845	25	7	(	(	PUNCT
ejpam-5845	25	8	sst	sst	NOUN
ejpam-5845	25	9	)	)	PUNCT
ejpam-5845	25	10	was	be	AUX
ejpam-5845	25	11	first	first	ADV
ejpam-5845	25	12	proposed	propose	VERB
ejpam-5845	25	13	by	by	ADP
ejpam-5845	25	14	molodtsov	molodtsov	NOUN
ejpam-5845	25	15	[	[	X
ejpam-5845	25	16	3	3	NUM
ejpam-5845	25	17	]	]	PUNCT
ejpam-5845	25	18	as	as	ADP
ejpam-5845	25	19	a	a	DET
ejpam-5845	25	20	novel	novel	ADJ
ejpam-5845	25	21	way	way	NOUN
ejpam-5845	25	22	to	to	PART
ejpam-5845	25	23	handle	handle	VERB
ejpam-5845	25	24	nebulous	nebulous	ADJ
ejpam-5845	25	25	and	and	CCONJ
ejpam-5845	25	26	confusing	confusing	ADJ
ejpam-5845	25	27	circumstances	circumstance	NOUN
ejpam-5845	25	28	.	.	PUNCT
ejpam-5845	26	1	molodtsov	molodtsov	NOUN
ejpam-5845	27	1	[	[	X
ejpam-5845	27	2	4	4	X
ejpam-5845	27	3	]	]	PUNCT
ejpam-5845	27	4	tackled	tackle	VERB
ejpam-5845	27	5	a	a	DET
ejpam-5845	27	6	number	number	NOUN
ejpam-5845	27	7	of	of	ADP
ejpam-5845	27	8	problems	problem	NOUN
ejpam-5845	27	9	,	,	PUNCT
ejpam-5845	27	10	including	include	VERB
ejpam-5845	27	11	function	function	NOUN
ejpam-5845	27	12	smoothness	smoothness	NOUN
ejpam-5845	27	13	,	,	PUNCT
ejpam-5845	27	14	using	use	VERB
ejpam-5845	27	15	soft	soft	ADJ
ejpam-5845	27	16	set	set	NOUN
ejpam-5845	27	17	theory	theory	NOUN
ejpam-5845	27	18	.	.	PUNCT
ejpam-5845	28	1	xu	xu	PROPN
ejpam-5845	28	2	et	et	PROPN
ejpam-5845	29	1	al	al	PROPN
ejpam-5845	29	2	.	.	PUNCT
ejpam-5845	30	1	[	[	X
ejpam-5845	30	2	5	5	NUM
ejpam-5845	30	3	]	]	PUNCT
ejpam-5845	30	4	initially	initially	ADV
ejpam-5845	30	5	presented	present	VERB
ejpam-5845	30	6	vague	vague	ADJ
ejpam-5845	30	7	soft	soft	ADJ
ejpam-5845	30	8	set	set	NOUN
ejpam-5845	30	9	theory	theory	NOUN
ejpam-5845	30	10	as	as	ADP
ejpam-5845	30	11	an	an	DET
ejpam-5845	30	12	expansion	expansion	NOUN
ejpam-5845	30	13	of	of	ADP
ejpam-5845	30	14	fst	fst	NOUN
ejpam-5845	30	15	.	.	PUNCT
ejpam-5845	31	1	in	in	ADP
ejpam-5845	31	2	their	their	PRON
ejpam-5845	31	3	discussion	discussion	NOUN
ejpam-5845	31	4	of	of	ADP
ejpam-5845	31	5	unclear	unclear	ADJ
ejpam-5845	31	6	soft	soft	ADJ
ejpam-5845	31	7	set	set	NOUN
ejpam-5845	31	8	,	,	PUNCT
ejpam-5845	31	9	huang	huang	PROPN
ejpam-5845	31	10	et	et	PROPN
ejpam-5845	31	11	al	al	PROPN
ejpam-5845	31	12	.	.	PUNCT
ejpam-5845	32	1	[	[	X
ejpam-5845	32	2	6	6	NUM
ejpam-5845	32	3	]	]	PUNCT
ejpam-5845	32	4	identified	identify	VERB
ejpam-5845	32	5	a	a	DET
ejpam-5845	32	6	few	few	ADJ
ejpam-5845	32	7	inaccurate	inaccurate	ADJ
ejpam-5845	32	8	findings	finding	NOUN
ejpam-5845	32	9	.	.	PUNCT
ejpam-5845	33	1	the	the	DET
ejpam-5845	33	2	authors	author	NOUN
ejpam-5845	33	3	provided	provide	VERB
ejpam-5845	33	4	additional	additional	ADJ
ejpam-5845	33	5	new	new	ADJ
ejpam-5845	33	6	definitions	definition	NOUN
ejpam-5845	33	7	and	and	CCONJ
ejpam-5845	33	8	provided	provide	VERB
ejpam-5845	33	9	examples	example	NOUN
ejpam-5845	33	10	to	to	PART
ejpam-5845	33	11	support	support	VERB
ejpam-5845	33	12	the	the	DET
ejpam-5845	33	13	wrong	wrong	ADJ
ejpam-5845	33	14	finding	finding	NOUN
ejpam-5845	33	15	.	.	PUNCT
ejpam-5845	34	1	the	the	DET
ejpam-5845	34	2	idea	idea	NOUN
ejpam-5845	34	3	of	of	ADP
ejpam-5845	34	4	vague	vague	ADJ
ejpam-5845	34	5	soft	soft	ADJ
ejpam-5845	34	6	topological	topological	ADJ
ejpam-5845	34	7	space	space	NOUN
ejpam-5845	34	8	was	be	AUX
ejpam-5845	34	9	first	first	ADV
ejpam-5845	34	10	introduced	introduce	VERB
ejpam-5845	34	11	by	by	ADP
ejpam-5845	34	12	chang	chang	PROPN
ejpam-5845	34	13	wang	wang	PROPN
ejpam-5845	34	14	and	and	CCONJ
ejpam-5845	34	15	yaya	yaya	PROPN
ejpam-5845	34	16	li	li	PROPN
ejpam-5845	35	1	[	[	X
ejpam-5845	35	2	7	7	X
ejpam-5845	35	3	]	]	PUNCT
ejpam-5845	35	4	under	under	ADP
ejpam-5845	35	5	the	the	DET
ejpam-5845	35	6	heading	head	VERB
ejpam-5845	35	7	topological	topological	ADJ
ejpam-5845	35	8	structure	structure	NOUN
ejpam-5845	35	9	of	of	ADP
ejpam-5845	35	10	vague	vague	ADJ
ejpam-5845	35	11	soft	soft	ADJ
ejpam-5845	35	12	sets	set	NOUN
ejpam-5845	35	13	.	.	PUNCT
ejpam-5845	36	1	the	the	DET
ejpam-5845	36	2	authors	author	NOUN
ejpam-5845	36	3	examined	examine	VERB
ejpam-5845	36	4	the	the	DET
ejpam-5845	36	5	findings	finding	NOUN
ejpam-5845	36	6	in	in	ADP
ejpam-5845	36	7	this	this	DET
ejpam-5845	36	8	area	area	NOUN
ejpam-5845	36	9	and	and	CCONJ
ejpam-5845	36	10	talked	talk	VERB
ejpam-5845	36	11	about	about	ADP
ejpam-5845	36	12	the	the	DET
ejpam-5845	36	13	fundamental	fundamental	ADJ
ejpam-5845	36	14	ideas	idea	NOUN
ejpam-5845	36	15	of	of	ADP
ejpam-5845	36	16	vague	vague	ADJ
ejpam-5845	36	17	soft	soft	ADJ
ejpam-5845	36	18	topology	topology	NOUN
ejpam-5845	36	19	.	.	PUNCT
ejpam-5845	37	1	smarandache	smarandache	NOUN
ejpam-5845	38	1	[	[	X
ejpam-5845	38	2	8	8	NUM
ejpam-5845	38	3	]	]	X
ejpam-5845	38	4	extended	extend	VERB
ejpam-5845	38	5	soft	soft	ADJ
ejpam-5845	38	6	set	set	NOUN
ejpam-5845	38	7	to	to	ADP
ejpam-5845	38	8	hyper	hyper	ADJ
ejpam-5845	38	9	soft	soft	ADJ
ejpam-5845	38	10	set	set	NOUN
ejpam-5845	38	11	.	.	PUNCT
ejpam-5845	39	1	the	the	DET
ejpam-5845	39	2	author	author	NOUN
ejpam-5845	39	3	also	also	ADV
ejpam-5845	39	4	presented	present	VERB
ejpam-5845	39	5	the	the	DET
ejpam-5845	39	6	hybrids	hybrid	NOUN
ejpam-5845	39	7	of	of	ADP
ejpam-5845	39	8	nhsss	nhsss	NOUN
ejpam-5845	39	9	,	,	PUNCT
ejpam-5845	39	10	ifsss	ifsss	NOUN
ejpam-5845	39	11	,	,	PUNCT
ejpam-5845	39	12	phsss	phsss	NOUN
ejpam-5845	39	13	,	,	PUNCT
ejpam-5845	39	14	and	and	CCONJ
ejpam-5845	39	15	crisp	crisp	ADJ
ejpam-5845	39	16	fss	fss	NOUN
ejpam-5845	39	17	.	.	PUNCT
ejpam-5845	40	1	based	base	VERB
ejpam-5845	40	2	on	on	ADP
ejpam-5845	40	3	the	the	DET
ejpam-5845	40	4	neutrosophic	neutrosophic	ADJ
ejpam-5845	40	5	soft	soft	ADJ
ejpam-5845	40	6	set	set	NOUN
ejpam-5845	40	7	(	(	PUNCT
ejpam-5845	40	8	nss	ns	NOUN
ejpam-5845	40	9	)	)	PUNCT
ejpam-5845	40	10	.	.	PUNCT
ejpam-5845	41	1	bera	bera	NOUN
ejpam-5845	41	2	and	and	CCONJ
ejpam-5845	41	3	mahapatra	mahapatra	NOUN
ejpam-5845	42	1	[	[	X
ejpam-5845	42	2	9	9	NUM
ejpam-5845	42	3	]	]	PUNCT
ejpam-5845	42	4	proposed	propose	VERB
ejpam-5845	42	5	the	the	DET
ejpam-5845	42	6	idea	idea	NOUN
ejpam-5845	42	7	of	of	ADP
ejpam-5845	42	8	a	a	DET
ejpam-5845	42	9	new	new	ADJ
ejpam-5845	42	10	structure	structure	NOUN
ejpam-5845	42	11	known	know	VERB
ejpam-5845	42	12	as	as	ADP
ejpam-5845	42	13	neutrosophic	neutrosophic	ADJ
ejpam-5845	42	14	soft	soft	ADJ
ejpam-5845	42	15	topology	topology	NOUN
ejpam-5845	42	16	.	.	PUNCT
ejpam-5845	43	1	this	this	DET
ejpam-5845	43	2	concept	concept	NOUN
ejpam-5845	43	3	opened	open	VERB
ejpam-5845	43	4	up	up	ADP
ejpam-5845	43	5	a	a	DET
ejpam-5845	43	6	whole	whole	ADJ
ejpam-5845	43	7	new	new	ADJ
ejpam-5845	43	8	area	area	NOUN
ejpam-5845	43	9	of	of	ADP
ejpam-5845	43	10	mathematics	mathematic	NOUN
ejpam-5845	43	11	.	.	PUNCT
ejpam-5845	44	1	the	the	DET
ejpam-5845	44	2	writers	writer	NOUN
ejpam-5845	44	3	courteously	courteously	ADV
ejpam-5845	44	4	went	go	VERB
ejpam-5845	44	5	over	over	ADP
ejpam-5845	44	6	each	each	PRON
ejpam-5845	44	7	of	of	ADP
ejpam-5845	44	8	the	the	DET
ejpam-5845	44	9	foundational	foundational	ADJ
ejpam-5845	44	10	concepts	concept	NOUN
ejpam-5845	44	11	before	before	ADP
ejpam-5845	44	12	moving	move	VERB
ejpam-5845	44	13	on	on	ADP
ejpam-5845	44	14	to	to	ADP
ejpam-5845	44	15	the	the	DET
ejpam-5845	44	16	fundamental	fundamental	ADJ
ejpam-5845	44	17	outcomes	outcome	NOUN
ejpam-5845	44	18	and	and	CCONJ
ejpam-5845	44	19	providing	provide	VERB
ejpam-5845	44	20	pertinent	pertinent	ADJ
ejpam-5845	44	21	instances	instance	NOUN
ejpam-5845	44	22	for	for	ADP
ejpam-5845	44	23	greater	great	ADJ
ejpam-5845	44	24	comprehension	comprehension	NOUN
ejpam-5845	44	25	.	.	PUNCT
ejpam-5845	45	1	ozturk	ozturk	PROPN
ejpam-5845	45	2	et	et	PROPN
ejpam-5845	45	3	al	al	PROPN
ejpam-5845	45	4	.	.	PUNCT
ejpam-5845	46	1	[	[	X
ejpam-5845	46	2	10	10	NUM
ejpam-5845	46	3	]	]	PUNCT
ejpam-5845	46	4	installed	instal	VERB
ejpam-5845	46	5	extremely	extremely	ADV
ejpam-5845	46	6	operations	operation	NOUN
ejpam-5845	46	7	on	on	ADP
ejpam-5845	46	8	nsss	nsss	NOUN
ejpam-5845	46	9	and	and	CCONJ
ejpam-5845	46	10	nsts	nst	NOUN
ejpam-5845	46	11	based	base	VERB
ejpam-5845	46	12	on	on	ADP
ejpam-5845	46	13	these	these	DET
ejpam-5845	46	14	unique	unique	ADJ
ejpam-5845	46	15	procedures	procedure	NOUN
ejpam-5845	46	16	.	.	PUNCT
ejpam-5845	47	1	based	base	VERB
ejpam-5845	47	2	on	on	ADP
ejpam-5845	47	3	the	the	DET
ejpam-5845	47	4	operation	operation	NOUN
ejpam-5845	47	5	outlined	outline	VERB
ejpam-5845	47	6	in	in	ADP
ejpam-5845	47	7	[	[	X
ejpam-5845	47	8	10	10	NUM
ejpam-5845	47	9	]	]	PUNCT
ejpam-5845	47	10	,	,	PUNCT
ejpam-5845	47	11	ozturk	ozturk	PROPN
ejpam-5845	47	12	et	et	PROPN
ejpam-5845	47	13	al	al	PROPN
ejpam-5845	47	14	.	.	PUNCT
ejpam-5845	48	1	[	[	X
ejpam-5845	48	2	11	11	NUM
ejpam-5845	48	3	]	]	PUNCT
ejpam-5845	48	4	installed	instal	VERB
ejpam-5845	48	5	the	the	DET
ejpam-5845	48	6	notions	notion	NOUN
ejpam-5845	48	7	of	of	ADP
ejpam-5845	48	8	neutrosophic	neutrosophic	ADJ
ejpam-5845	48	9	soft	soft	ADJ
ejpam-5845	48	10	mapping	mapping	NOUN
ejpam-5845	48	11	,	,	PUNCT
ejpam-5845	48	12	neutrosophic	neutrosophic	ADJ
ejpam-5845	48	13	soft	soft	ADJ
ejpam-5845	48	14	open	open	ADJ
ejpam-5845	48	15	mapping	mapping	NOUN
ejpam-5845	48	16	,	,	PUNCT
ejpam-5845	48	17	and	and	CCONJ
ejpam-5845	48	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	48	19	soft	soft	ADJ
ejpam-5845	48	20	homeomorphism	homeomorphism	NOUN
ejpam-5845	48	21	.	.	PUNCT
ejpam-5845	49	1	mehmood	mehmood	PROPN
ejpam-5845	49	2	et	et	PROPN
ejpam-5845	49	3	al	al	PROPN
ejpam-5845	49	4	.	.	PUNCT
ejpam-5845	50	1	[	[	X
ejpam-5845	50	2	12	12	NUM
ejpam-5845	50	3	]	]	PUNCT
ejpam-5845	50	4	created	create	VERB
ejpam-5845	50	5	new	new	ADJ
ejpam-5845	50	6	open	open	ADJ
ejpam-5845	50	7	sets	set	NOUN
ejpam-5845	50	8	in	in	ADP
ejpam-5845	50	9	neutrosophic	neutrosophic	ADJ
ejpam-5845	50	10	soft	soft	ADJ
ejpam-5845	50	11	topological	topological	ADJ
ejpam-5845	50	12	space	space	NOUN
ejpam-5845	50	13	.	.	PUNCT
ejpam-5845	51	1	al	al	PROPN
ejpam-5845	51	2	-	-	PUNCT
ejpam-5845	51	3	nafee	nafee	NOUN
ejpam-5845	51	4	[	[	X
ejpam-5845	51	5	13	13	NUM
ejpam-5845	51	6	]	]	PUNCT
ejpam-5845	51	7	not	not	PART
ejpam-5845	51	8	only	only	ADV
ejpam-5845	51	9	created	create	VERB
ejpam-5845	51	10	a	a	DET
ejpam-5845	51	11	new	new	ADJ
ejpam-5845	51	12	family	family	NOUN
ejpam-5845	51	13	of	of	ADP
ejpam-5845	51	14	neutrosophic	neutrosophic	ADJ
ejpam-5845	51	15	soft	soft	ADJ
ejpam-5845	51	16	sub	sub	NOUN
ejpam-5845	51	17	sets	set	NOUN
ejpam-5845	51	18	but	but	CCONJ
ejpam-5845	51	19	also	also	ADV
ejpam-5845	51	20	came	come	VERB
ejpam-5845	51	21	up	up	ADP
ejpam-5845	51	22	with	with	ADP
ejpam-5845	51	23	new	new	ADJ
ejpam-5845	51	24	operations	operation	NOUN
ejpam-5845	51	25	(	(	PUNCT
ejpam-5845	51	26	union	union	NOUN
ejpam-5845	51	27	and	and	CCONJ
ejpam-5845	51	28	intersection	intersection	NOUN
ejpam-5845	51	29	)	)	PUNCT
ejpam-5845	51	30	on	on	ADP
ejpam-5845	51	31	neutrosophic	neutrosophic	ADJ
ejpam-5845	51	32	sets	set	NOUN
ejpam-5845	51	33	.	.	PUNCT
ejpam-5845	52	1	based	base	VERB
ejpam-5845	52	2	on	on	ADP
ejpam-5845	52	3	the	the	DET
ejpam-5845	52	4	operations	operation	NOUN
ejpam-5845	52	5	described	describe	VERB
ejpam-5845	52	6	in	in	ADP
ejpam-5845	52	7	[	[	X
ejpam-5845	52	8	14	14	NUM
ejpam-5845	52	9	]	]	PUNCT
ejpam-5845	52	10	,	,	PUNCT
ejpam-5845	52	11	al	al	PROPN
ejpam-5845	52	12	-	-	PUNCT
ejpam-5845	52	13	nafee	nafee	NOUN
ejpam-5845	52	14	et	et	PROPN
ejpam-5845	52	15	al	al	PROPN
ejpam-5845	52	16	.	.	PUNCT
ejpam-5845	53	1	[	[	X
ejpam-5845	53	2	14	14	NUM
ejpam-5845	53	3	]	]	PUNCT
ejpam-5845	53	4	constructed	construct	VERB
ejpam-5845	53	5	nsbts	nsbt	NOUN
ejpam-5845	53	6	to	to	PART
ejpam-5845	53	7	finish	finish	VERB
ejpam-5845	53	8	their	their	PRON
ejpam-5845	53	9	previous	previous	ADJ
ejpam-5845	53	10	research	research	NOUN
ejpam-5845	53	11	.	.	PUNCT
ejpam-5845	54	1	the	the	DET
ejpam-5845	54	2	authors	author	NOUN
ejpam-5845	54	3	used	use	VERB
ejpam-5845	54	4	these	these	DET
ejpam-5845	54	5	fundamental	fundamental	ADJ
ejpam-5845	54	6	methods	method	NOUN
ejpam-5845	54	7	to	to	PART
ejpam-5845	54	8	replicate	replicate	VERB
ejpam-5845	54	9	all	all	PRON
ejpam-5845	54	10	of	of	ADP
ejpam-5845	54	11	the	the	DET
ejpam-5845	54	12	important	important	ADJ
ejpam-5845	54	13	findings	finding	NOUN
ejpam-5845	54	14	of	of	ADP
ejpam-5845	54	15	nsbts	nsbt	NOUN
ejpam-5845	54	16	.	.	PUNCT
ejpam-5845	55	1	nsbts	nsbt	NOUN
ejpam-5845	55	2	was	be	AUX
ejpam-5845	55	3	developed	develop	VERB
ejpam-5845	55	4	by	by	ADP
ejpam-5845	55	5	dadas	dadas	PROPN
ejpam-5845	55	6	and	and	CCONJ
ejpam-5845	55	7	demiralp	demiralp	NOUN
ejpam-5845	56	1	[	[	X
ejpam-5845	56	2	15	15	NUM
ejpam-5845	56	3	]	]	PUNCT
ejpam-5845	56	4	using	use	VERB
ejpam-5845	56	5	the	the	DET
ejpam-5845	56	6	guidelines	guideline	NOUN
ejpam-5845	56	7	provided	provide	VERB
ejpam-5845	56	8	in	in	ADP
ejpam-5845	56	9	[	[	NOUN
ejpam-5845	56	10	9	9	NUM
ejpam-5845	56	11	]	]	PUNCT
ejpam-5845	56	12	.	.	PUNCT
ejpam-5845	57	1	smarandache	smarandache	PROPN
ejpam-5845	58	1	[	[	X
ejpam-5845	58	2	16	16	NUM
ejpam-5845	58	3	]	]	PUNCT
ejpam-5845	58	4	generalizes	generalize	VERB
ejpam-5845	58	5	the	the	DET
ejpam-5845	58	6	intuitionistic	intuitionistic	ADJ
ejpam-5845	58	7	fuzzy	fuzzy	ADJ
ejpam-5845	58	8	set	set	NOUN
ejpam-5845	58	9	(	(	PUNCT
ejpam-5845	58	10	ifs	ifs	PROPN
ejpam-5845	58	11	)	)	PUNCT
ejpam-5845	58	12	,	,	PUNCT
ejpam-5845	58	13	paraconsistent	paraconsistent	NOUN
ejpam-5845	58	14	set	set	NOUN
ejpam-5845	58	15	,	,	PUNCT
ejpam-5845	58	16	and	and	CCONJ
ejpam-5845	58	17	intuitionistic	intuitionistic	ADJ
ejpam-5845	58	18	set	set	NOUN
ejpam-5845	58	19	to	to	ADP
ejpam-5845	58	20	the	the	DET
ejpam-5845	58	21	neutrosophic	neutrosophic	ADJ
ejpam-5845	58	22	set	set	NOUN
ejpam-5845	58	23	(	(	PUNCT
ejpam-5845	58	24	ns	ns	NUM
ejpam-5845	58	25	)	)	PUNCT
ejpam-5845	58	26	.	.	PUNCT
ejpam-5845	59	1	many	many	ADJ
ejpam-5845	59	2	examples	example	NOUN
ejpam-5845	59	3	are	be	AUX
ejpam-5845	59	4	presented	present	VERB
ejpam-5845	59	5	.	.	PUNCT
ejpam-5845	60	1	distinctions	distinction	NOUN
ejpam-5845	60	2	between	between	ADP
ejpam-5845	60	3	ns	ns	NUM
ejpam-5845	60	4	and	and	CCONJ
ejpam-5845	60	5	ifs	ifs	PROPN
ejpam-5845	60	6	are	be	AUX
ejpam-5845	60	7	underlined	underline	VERB
ejpam-5845	60	8	.	.	PUNCT
ejpam-5845	61	1	several	several	ADJ
ejpam-5845	61	2	aspects	aspect	NOUN
ejpam-5845	61	3	of	of	ADP
ejpam-5845	61	4	the	the	DET
ejpam-5845	61	5	menger	menger	PROPN
ejpam-5845	61	6	selection	selection	NOUN
ejpam-5845	61	7	principle	principle	NOUN
ejpam-5845	61	8	were	be	AUX
ejpam-5845	61	9	explored	explore	VERB
ejpam-5845	61	10	by	by	ADP
ejpam-5845	61	11	ljubia	ljubia	PROPN
ejpam-5845	61	12	et	et	PROPN
ejpam-5845	61	13	al	al	PROPN
ejpam-5845	61	14	.	.	PUNCT
ejpam-5845	62	1	[	[	X
ejpam-5845	62	2	17	17	NUM
ejpam-5845	62	3	]	]	PUNCT
ejpam-5845	62	4	in	in	ADP
ejpam-5845	62	5	their	their	PRON
ejpam-5845	62	6	study	study	NOUN
ejpam-5845	62	7	of	of	ADP
ejpam-5845	62	8	the	the	DET
ejpam-5845	62	9	principle	principle	NOUN
ejpam-5845	62	10	in	in	ADP
ejpam-5845	62	11	regard	regard	NOUN
ejpam-5845	62	12	to	to	ADP
ejpam-5845	62	13	soft	soft	ADJ
ejpam-5845	62	14	sets	set	NOUN
ejpam-5845	62	15	.	.	PUNCT
ejpam-5845	63	1	the	the	DET
ejpam-5845	63	2	relationships	relationship	NOUN
ejpam-5845	63	3	between	between	ADP
ejpam-5845	63	4	the	the	DET
ejpam-5845	63	5	recently	recently	ADV
ejpam-5845	63	6	suggested	suggest	VERB
ejpam-5845	63	7	soft	soft	ADJ
ejpam-5845	63	8	open	open	ADJ
ejpam-5845	63	9	coverings	covering	NOUN
ejpam-5845	63	10	were	be	AUX
ejpam-5845	63	11	examined	examine	VERB
ejpam-5845	63	12	by	by	ADP
ejpam-5845	63	13	the	the	DET
ejpam-5845	63	14	writers	writer	NOUN
ejpam-5845	63	15	.	.	PUNCT
ejpam-5845	64	1	using	use	VERB
ejpam-5845	64	2	soft	soft	ADJ
ejpam-5845	64	3	s	s	NOUN
ejpam-5845	64	4	-	-	ADJ
ejpam-5845	64	5	regular	regular	ADJ
ejpam-5845	64	6	open	open	ADJ
ejpam-5845	64	7	covers	cover	NOUN
ejpam-5845	64	8	,	,	PUNCT
ejpam-5845	64	9	al	al	PROPN
ejpam-5845	64	10	-	-	PUNCT
ejpam-5845	64	11	shami	shami	PROPN
ejpam-5845	64	12	et	et	PROPN
ejpam-5845	64	13	al	al	PROPN
ejpam-5845	64	14	.	.	PUNCT
ejpam-5845	65	1	[	[	X
ejpam-5845	65	2	18	18	NUM
ejpam-5845	65	3	]	]	PUNCT
ejpam-5845	65	4	provided	provide	VERB
ejpam-5845	65	5	a	a	DET
ejpam-5845	65	6	detailed	detailed	ADJ
ejpam-5845	65	7	description	description	NOUN
ejpam-5845	65	8	of	of	ADP
ejpam-5845	65	9	near	near	PROPN
ejpam-5845	65	10	smss	smss	PROPN
ejpam-5845	65	11	.	.	PUNCT
ejpam-5845	66	1	additionally	additionally	ADV
ejpam-5845	66	2	;	;	PUNCT
ejpam-5845	66	3	they	they	PRON
ejpam-5845	66	4	demonstrated	demonstrate	VERB
ejpam-5845	66	5	how	how	SCONJ
ejpam-5845	66	6	they	they	PRON
ejpam-5845	66	7	fell	fall	VERB
ejpam-5845	66	8	into	into	ADP
ejpam-5845	66	9	the	the	DET
ejpam-5845	66	10	same	same	ADJ
ejpam-5845	66	11	class	class	NOUN
ejpam-5845	66	12	as	as	ADP
ejpam-5845	66	13	soft	soft	ADJ
ejpam-5845	66	14	regular	regular	ADJ
ejpam-5845	66	15	spaces	space	NOUN
ejpam-5845	66	16	.	.	PUNCT
ejpam-5845	67	1	al	al	PROPN
ejpam-5845	67	2	-	-	PUNCT
ejpam-5845	67	3	shami	shami	PROPN
ejpam-5845	67	4	et	et	PROPN
ejpam-5845	67	5	al	al	PROPN
ejpam-5845	67	6	.	.	PROPN
ejpam-5845	67	7	’s	’s	PART
ejpam-5845	67	8	concept	concept	NOUN
ejpam-5845	67	9	of	of	ADP
ejpam-5845	67	10	an	an	DET
ejpam-5845	67	11	istss	istss	NOUN
ejpam-5845	67	12	was	be	AUX
ejpam-5845	67	13	first	first	ADV
ejpam-5845	67	14	presented	present	VERB
ejpam-5845	67	15	[	[	X
ejpam-5845	67	16	19	19	NUM
ejpam-5845	67	17	]	]	PUNCT
ejpam-5845	67	18	.	.	PUNCT
ejpam-5845	68	1	al	al	PROPN
ejpam-5845	68	2	-	-	PUNCT
ejpam-5845	68	3	shami	shami	PROPN
ejpam-5845	68	4	et	et	PROPN
ejpam-5845	68	5	al	al	PROPN
ejpam-5845	68	6	.	.	PUNCT
ejpam-5845	69	1	[	[	X
ejpam-5845	69	2	20	20	NUM
ejpam-5845	69	3	]	]	PUNCT
ejpam-5845	69	4	explored	explore	VERB
ejpam-5845	69	5	fixed	fix	VERB
ejpam-5845	69	6	soft	soft	ADJ
ejpam-5845	69	7	points	point	NOUN
ejpam-5845	69	8	and	and	CCONJ
ejpam-5845	69	9	weak	weak	ADJ
ejpam-5845	69	10	forms	form	NOUN
ejpam-5845	69	11	of	of	ADP
ejpam-5845	69	12	soft	soft	ADJ
ejpam-5845	69	13	separation	separation	NOUN
ejpam-5845	69	14	axioms	axiom	NOUN
ejpam-5845	69	15	.	.	PUNCT
ejpam-5845	70	1	the	the	DET
ejpam-5845	70	2	theory	theory	NOUN
ejpam-5845	70	3	of	of	ADP
ejpam-5845	70	4	iss	iss	PROPN
ejpam-5845	70	5	connected	connect	VERB
ejpam-5845	70	6	and	and	CCONJ
ejpam-5845	70	7	islcs	islcs	NOUN
ejpam-5845	70	8	was	be	AUX
ejpam-5845	70	9	given	give	VERB
ejpam-5845	70	10	by	by	ADP
ejpam-5845	70	11	al	al	PROPN
ejpam-5845	70	12	-	-	PUNCT
ejpam-5845	70	13	shami	shami	PROPN
ejpam-5845	70	14	et	et	PROPN
ejpam-5845	70	15	al	al	PROPN
ejpam-5845	70	16	.	.	PUNCT
ejpam-5845	71	1	[	[	X
ejpam-5845	71	2	21	21	NUM
ejpam-5845	71	3	]	]	PUNCT
ejpam-5845	71	4	.	.	PUNCT
ejpam-5845	72	1	they	they	PRON
ejpam-5845	72	2	also	also	ADV
ejpam-5845	72	3	discussed	discuss	VERB
ejpam-5845	72	4	the	the	DET
ejpam-5845	72	5	behavior	behavior	NOUN
ejpam-5845	72	6	of	of	ADP
ejpam-5845	72	7	these	these	DET
ejpam-5845	72	8	spaces	space	NOUN
ejpam-5845	72	9	as	as	ADP
ejpam-5845	72	10	a	a	DET
ejpam-5845	72	11	finite	finite	ADJ
ejpam-5845	72	12	product	product	NOUN
ejpam-5845	72	13	of	of	ADP
ejpam-5845	72	14	soft	soft	ADJ
ejpam-5845	72	15	spaces	space	NOUN
ejpam-5845	72	16	and	and	CCONJ
ejpam-5845	72	17	under	under	ADP
ejpam-5845	72	18	infra	infra	NOUN
ejpam-5845	72	19	soft	soft	ADJ
ejpam-5845	72	20	homeomorphism	homeomorphism	NOUN
ejpam-5845	72	21	maps	map	NOUN
ejpam-5845	72	22	.	.	PUNCT
ejpam-5845	73	1	the	the	DET
ejpam-5845	73	2	authors	author	NOUN
ejpam-5845	73	3	discussed	discuss	VERB
ejpam-5845	73	4	the	the	DET
ejpam-5845	73	5	essential	essential	ADJ
ejpam-5845	73	6	elements	element	NOUN
ejpam-5845	73	7	of	of	ADP
ejpam-5845	73	8	a	a	DET
ejpam-5845	73	9	soft	soft	ADJ
ejpam-5845	73	10	point	point	NOUN
ejpam-5845	73	11	and	and	CCONJ
ejpam-5845	73	12	described	describe	VERB
ejpam-5845	73	13	its	its	PRON
ejpam-5845	73	14	main	main	ADJ
ejpam-5845	73	15	traits	trait	NOUN
ejpam-5845	73	16	.	.	PUNCT
ejpam-5845	74	1	the	the	DET
ejpam-5845	74	2	concepts	concept	NOUN
ejpam-5845	74	3	of	of	ADP
ejpam-5845	74	4	open	open	ADJ
ejpam-5845	74	5	,	,	PUNCT
ejpam-5845	74	6	closed	closed	ADJ
ejpam-5845	74	7	,	,	PUNCT
ejpam-5845	74	8	and	and	CCONJ
ejpam-5845	74	9	homeomorphism	homeomorphism	PROPN
ejpam-5845	74	10	mappings	mapping	NOUN
ejpam-5845	74	11	in	in	ADP
ejpam-5845	74	12	ists	ist	NOUN
ejpam-5845	74	13	content	content	NOUN
ejpam-5845	74	14	were	be	AUX
ejpam-5845	74	15	first	first	ADV
ejpam-5845	74	16	introduced	introduce	VERB
ejpam-5845	74	17	by	by	ADP
ejpam-5845	74	18	al	al	PROPN
ejpam-5845	74	19	-	-	PUNCT
ejpam-5845	74	20	shami	shami	PROPN
ejpam-5845	75	1	[	[	X
ejpam-5845	75	2	22	22	NUM
ejpam-5845	75	3	]	]	PUNCT
ejpam-5845	75	4	.	.	PUNCT
ejpam-5845	76	1	al	al	PROPN
ejpam-5845	76	2	-	-	PUNCT
ejpam-5845	76	3	shami	shami	PROPN
ejpam-5845	76	4	[	[	X
ejpam-5845	76	5	23	23	NUM
ejpam-5845	76	6	]	]	PUNCT
ejpam-5845	76	7	investigated	investigate	VERB
ejpam-5845	76	8	isc	isc	PROPN
ejpam-5845	76	9	and	and	CCONJ
ejpam-5845	76	10	islss	islss	PROPN
ejpam-5845	76	11	,	,	PUNCT
ejpam-5845	76	12	demonstrating	demonstrate	VERB
ejpam-5845	76	13	their	their	PRON
ejpam-5845	76	14	main	main	ADJ
ejpam-5845	76	15	features	feature	NOUN
ejpam-5845	76	16	using	use	VERB
ejpam-5845	76	17	a	a	DET
ejpam-5845	76	18	sequence	sequence	NOUN
ejpam-5845	76	19	of	of	ADP
ejpam-5845	76	20	infra	infra	NOUN
ejpam-5845	76	21	soft	soft	ADJ
ejpam-5845	76	22	closed	closed	ADJ
ejpam-5845	76	23	sets	set	NOUN
ejpam-5845	76	24	.	.	PUNCT
ejpam-5845	77	1	examining	examine	VERB
ejpam-5845	77	2	the	the	DET
ejpam-5845	77	3	transmission	transmission	NOUN
ejpam-5845	77	4	of	of	ADP
ejpam-5845	77	5	these	these	DET
ejpam-5845	77	6	concepts	concept	NOUN
ejpam-5845	77	7	between	between	ADP
ejpam-5845	77	8	classical	classical	ADJ
ejpam-5845	77	9	and	and	CCONJ
ejpam-5845	77	10	ist	ist	NOUN
ejpam-5845	77	11	was	be	AUX
ejpam-5845	77	12	the	the	DET
ejpam-5845	77	13	author	author	NOUN
ejpam-5845	77	14	’s	’s	PART
ejpam-5845	77	15	main	main	ADJ
ejpam-5845	77	16	focus	focus	NOUN
ejpam-5845	77	17	.	.	PUNCT
ejpam-5845	78	1	the	the	DET
ejpam-5845	78	2	concept	concept	NOUN
ejpam-5845	78	3	of	of	ADP
ejpam-5845	78	4	soft	soft	ADJ
ejpam-5845	78	5	bi	bi	NOUN
ejpam-5845	78	6	-	-	NOUN
ejpam-5845	78	7	operators	operator	NOUN
ejpam-5845	78	8	was	be	AUX
ejpam-5845	78	9	first	first	ADV
ejpam-5845	78	10	introduced	introduce	VERB
ejpam-5845	78	11	by	by	ADP
ejpam-5845	78	12	baravan	baravan	PROPN
ejpam-5845	78	13	et	et	PROPN
ejpam-5845	78	14	al	al	PROPN
ejpam-5845	78	15	.	.	PUNCT
ejpam-5845	79	1	[	[	X
ejpam-5845	79	2	24	24	NUM
ejpam-5845	79	3	]	]	PUNCT
ejpam-5845	79	4	.	.	PUNCT
ejpam-5845	80	1	an	an	DET
ejpam-5845	80	2	example	example	NOUN
ejpam-5845	80	3	from	from	ADP
ejpam-5845	80	4	ali	ali	PROPN
ejpam-5845	80	5	et	et	PROPN
ejpam-5845	80	6	al	al	PROPN
ejpam-5845	80	7	.	.	PROPN
ejpam-5845	80	8	was	be	AUX
ejpam-5845	80	9	used	use	VERB
ejpam-5845	80	10	to	to	PART
ejpam-5845	80	11	build	build	VERB
ejpam-5845	80	12	an	an	DET
ejpam-5845	80	13	effective	effective	ADJ
ejpam-5845	80	14	bipolar	bipolar	ADJ
ejpam-5845	80	15	soft	soft	ADJ
ejpam-5845	80	16	generalization	generalization	NOUN
ejpam-5845	80	17	of	of	ADP
ejpam-5845	80	18	the	the	DET
ejpam-5845	80	19	q	q	NOUN
ejpam-5845	80	20	-	-	PUNCT
ejpam-5845	80	21	rung	rung	ADJ
ejpam-5845	80	22	ortho	ortho	ADJ
ejpam-5845	80	23	-	-	PUNCT
ejpam-5845	80	24	pair	pair	NOUN
ejpam-5845	80	25	fuzzy	fuzzy	ADJ
ejpam-5845	80	26	set	set	VERB
ejpam-5845	80	27	model	model	NOUN
ejpam-5845	80	28	[	[	X
ejpam-5845	80	29	25	25	NUM
ejpam-5845	80	30	]	]	PUNCT
ejpam-5845	80	31	.	.	PUNCT
ejpam-5845	81	1	a	a	DET
ejpam-5845	81	2	model	model	NOUN
ejpam-5845	81	3	known	know	VERB
ejpam-5845	81	4	as	as	ADP
ejpam-5845	81	5	the	the	DET
ejpam-5845	81	6	fbsess	fbsess	NOUN
ejpam-5845	81	7	was	be	AUX
ejpam-5845	81	8	introduced	introduce	VERB
ejpam-5845	81	9	by	by	ADP
ejpam-5845	81	10	ali	ali	PROPN
ejpam-5845	81	11	et	et	PROPN
ejpam-5845	81	12	al	al	PROPN
ejpam-5845	81	13	.	.	PUNCT
ejpam-5845	82	1	[	[	X
ejpam-5845	82	2	26	26	NUM
ejpam-5845	82	3	]	]	PUNCT
ejpam-5845	82	4	.	.	PUNCT
ejpam-5845	83	1	in	in	ADP
ejpam-5845	83	2	order	order	NOUN
ejpam-5845	83	3	to	to	PART
ejpam-5845	83	4	create	create	VERB
ejpam-5845	83	5	a	a	DET
ejpam-5845	83	6	unique	unique	ADJ
ejpam-5845	83	7	discretization	discretization	NOUN
ejpam-5845	83	8	of	of	ADP
ejpam-5845	83	9	these	these	DET
ejpam-5845	83	10	basic	basic	ADJ
ejpam-5845	83	11	mathematical	mathematical	ADJ
ejpam-5845	83	12	ideas	idea	NOUN
ejpam-5845	83	13	with	with	ADP
ejpam-5845	83	14	an	an	DET
ejpam-5845	83	15	essentially	essentially	ADV
ejpam-5845	83	16	continuous	continuous	ADJ
ejpam-5845	83	17	character	character	NOUN
ejpam-5845	83	18	,	,	PUNCT
ejpam-5845	83	19	john	john	PROPN
ejpam-5845	83	20	[	[	X
ejpam-5845	83	21	27	27	NUM
ejpam-5845	83	22	]	]	PUNCT
ejpam-5845	83	23	proposed	propose	VERB
ejpam-5845	83	24	a	a	DET
ejpam-5845	83	25	soft	soft	ADJ
ejpam-5845	83	26	structure	structure	NOUN
ejpam-5845	83	27	over	over	ADP
ejpam-5845	83	28	a	a	DET
ejpam-5845	83	29	set	set	NOUN
ejpam-5845	83	30	.	.	PUNCT
ejpam-5845	84	1	the	the	DET
ejpam-5845	84	2	advantage	advantage	NOUN
ejpam-5845	84	3	is	be	AUX
ejpam-5845	84	4	that	that	SCONJ
ejpam-5845	84	5	it	it	PRON
ejpam-5845	84	6	gave	give	VERB
ejpam-5845	84	7	rise	rise	NOUN
ejpam-5845	84	8	to	to	ADP
ejpam-5845	84	9	new	new	ADJ
ejpam-5845	84	10	instruments	instrument	NOUN
ejpam-5845	84	11	for	for	ADP
ejpam-5845	84	12	applying	apply	VERB
ejpam-5845	84	13	mathematical	mathematical	ADJ
ejpam-5845	84	14	analysis	analysis	NOUN
ejpam-5845	84	15	technology	technology	NOUN
ejpam-5845	84	16	in	in	ADP
ejpam-5845	84	17	practical	practical	ADJ
ejpam-5845	84	18	applications	application	NOUN
ejpam-5845	84	19	to	to	PART
ejpam-5845	84	20	identify	identify	VERB
ejpam-5845	84	21	uncertainty	uncertainty	NOUN
ejpam-5845	84	22	or	or	CCONJ
ejpam-5845	84	23	incomplete	incomplete	ADJ
ejpam-5845	84	24	data	datum	NOUN
ejpam-5845	84	25	.	.	PUNCT
ejpam-5845	85	1	s.	s.	PROPN
ejpam-5845	85	2	kim	kim	PROPN
ejpam-5845	85	3	and	and	CCONJ
ejpam-5845	85	4	park	park	PROPN
ejpam-5845	85	5	[	[	X
ejpam-5845	85	6	28	28	NUM
ejpam-5845	85	7	]	]	X
ejpam-5845	85	8	m.	m.	NOUN
ejpam-5845	85	9	m.	m.	PROPN
ejpam-5845	85	10	saeed	saeed	PROPN
ejpam-5845	85	11	et	et	PROPN
ejpam-5845	85	12	al	al	PROPN
ejpam-5845	85	13	.	.	PUNCT
ejpam-5845	85	14	/	/	SYM
ejpam-5845	85	15	eur	eur	PROPN
ejpam-5845	85	16	.	.	PUNCT
ejpam-5845	86	1	j.	j.	PROPN
ejpam-5845	86	2	pure	pure	PROPN
ejpam-5845	86	3	appl	appl	PROPN
ejpam-5845	86	4	.	.	PROPN
ejpam-5845	86	5	math	math	PROPN
ejpam-5845	86	6	,	,	PUNCT
ejpam-5845	86	7	18	18	NUM
ejpam-5845	86	8	(	(	PUNCT
ejpam-5845	86	9	2	2	NUM
ejpam-5845	86	10	)	)	PUNCT
ejpam-5845	86	11	(	(	PUNCT
ejpam-5845	86	12	2025	2025	NUM
ejpam-5845	86	13	)	)	PUNCT
ejpam-5845	86	14	,	,	PUNCT
ejpam-5845	86	15	5845	5845	NUM
ejpam-5845	86	16	3	3	NUM
ejpam-5845	86	17	of	of	ADP
ejpam-5845	86	18	32	32	NUM
ejpam-5845	86	19	discussed	discuss	VERB
ejpam-5845	86	20	secure	secure	ADJ
ejpam-5845	86	21	multi	multi	ADJ
ejpam-5845	86	22	-	-	ADJ
ejpam-5845	86	23	party	party	ADJ
ejpam-5845	86	24	clustering	clustering	ADJ
ejpam-5845	86	25	protocols	protocol	NOUN
ejpam-5845	86	26	.	.	PUNCT
ejpam-5845	87	1	kandasamy	kandasamy	NOUN
ejpam-5845	88	1	[	[	X
ejpam-5845	88	2	29	29	NUM
ejpam-5845	88	3	]	]	SYM
ejpam-5845	88	4	installed	instal	VERB
ejpam-5845	88	5	dvnss	dvns	NOUN
ejpam-5845	88	6	and	and	CCONJ
ejpam-5845	88	7	used	use	VERB
ejpam-5845	88	8	it	it	PRON
ejpam-5845	88	9	minimum	minimum	ADJ
ejpam-5845	88	10	spanning	span	VERB
ejpam-5845	88	11	trees	tree	NOUN
ejpam-5845	88	12	.	.	PUNCT
ejpam-5845	89	1	mehmood	mehmood	PROPN
ejpam-5845	89	2	et	et	PROPN
ejpam-5845	89	3	al	al	PROPN
ejpam-5845	89	4	.	.	PUNCT
ejpam-5845	90	1	[	[	X
ejpam-5845	90	2	30	30	NUM
ejpam-5845	90	3	]	]	PUNCT
ejpam-5845	90	4	explored	explore	VERB
ejpam-5845	90	5	many	many	ADJ
ejpam-5845	90	6	structures	structure	NOUN
ejpam-5845	90	7	and	and	CCONJ
ejpam-5845	90	8	provided	provide	VERB
ejpam-5845	90	9	new	new	ADJ
ejpam-5845	90	10	definitions	definition	NOUN
ejpam-5845	90	11	for	for	ADP
ejpam-5845	90	12	nstss	nstss	NOUN
ejpam-5845	90	13	.	.	PUNCT
ejpam-5845	91	1	mehmood	mehmood	PROPN
ejpam-5845	91	2	et	et	PROPN
ejpam-5845	91	3	al	al	PROPN
ejpam-5845	91	4	.	.	PUNCT
ejpam-5845	92	1	[	[	X
ejpam-5845	92	2	31	31	NUM
ejpam-5845	92	3	]	]	PUNCT
ejpam-5845	92	4	presented	present	VERB
ejpam-5845	92	5	the	the	DET
ejpam-5845	92	6	idea	idea	NOUN
ejpam-5845	92	7	of	of	ADP
ejpam-5845	92	8	vstss	vstss	NOUN
ejpam-5845	92	9	in	in	ADP
ejpam-5845	92	10	a	a	DET
ejpam-5845	92	11	novel	novel	ADJ
ejpam-5845	92	12	approach	approach	NOUN
ejpam-5845	92	13	and	and	CCONJ
ejpam-5845	92	14	explored	explore	VERB
ejpam-5845	92	15	various	various	ADJ
ejpam-5845	92	16	structures	structure	NOUN
ejpam-5845	92	17	with	with	ADP
ejpam-5845	92	18	regard	regard	NOUN
ejpam-5845	92	19	to	to	ADP
ejpam-5845	92	20	vague	vague	ADJ
ejpam-5845	92	21	soft	soft	ADJ
ejpam-5845	92	22	points	point	NOUN
ejpam-5845	92	23	using	use	VERB
ejpam-5845	92	24	vague	vague	ADJ
ejpam-5845	92	25	soft	soft	ADJ
ejpam-5845	92	26	beta	beta	NOUN
ejpam-5845	92	27	open	open	ADJ
ejpam-5845	92	28	sets	set	NOUN
ejpam-5845	92	29	.	.	PUNCT
ejpam-5845	93	1	1.1	1.1	NUM
ejpam-5845	93	2	.	.	PUNCT
ejpam-5845	94	1	literature	literature	NOUN
ejpam-5845	94	2	review	review	VERB
ejpam-5845	94	3	a	a	DET
ejpam-5845	94	4	novel	novel	ADJ
ejpam-5845	94	5	idea	idea	NOUN
ejpam-5845	94	6	known	know	VERB
ejpam-5845	94	7	as	as	ADP
ejpam-5845	94	8	vague	vague	ADJ
ejpam-5845	94	9	soft	soft	ADJ
ejpam-5845	94	10	bi	bi	ADJ
ejpam-5845	94	11	-	-	ADJ
ejpam-5845	94	12	topological	topological	ADJ
ejpam-5845	94	13	space	space	NOUN
ejpam-5845	94	14	was	be	AUX
ejpam-5845	94	15	presented	present	VERB
ejpam-5845	94	16	by	by	ADP
ejpam-5845	94	17	mehmood	mehmood	PROPN
ejpam-5845	94	18	et	et	PROPN
ejpam-5845	94	19	al	al	PROPN
ejpam-5845	94	20	.	.	PUNCT
ejpam-5845	95	1	[	[	X
ejpam-5845	95	2	32	32	NUM
ejpam-5845	95	3	]	]	PUNCT
ejpam-5845	95	4	,	,	PUNCT
ejpam-5845	95	5	who	who	PRON
ejpam-5845	95	6	also	also	ADV
ejpam-5845	95	7	looked	look	VERB
ejpam-5845	95	8	at	at	ADP
ejpam-5845	95	9	its	its	PRON
ejpam-5845	95	10	structural	structural	ADJ
ejpam-5845	95	11	characteristics	characteristic	NOUN
ejpam-5845	95	12	.	.	PUNCT
ejpam-5845	96	1	generalized	generalized	ADJ
ejpam-5845	96	2	vague	vague	ADJ
ejpam-5845	96	3	soft	soft	ADJ
ejpam-5845	96	4	open	open	ADJ
ejpam-5845	96	5	sets	set	NOUN
ejpam-5845	96	6	,	,	PUNCT
ejpam-5845	96	7	also	also	ADV
ejpam-5845	96	8	known	know	VERB
ejpam-5845	96	9	as	as	ADP
ejpam-5845	96	10	vague	vague	ADJ
ejpam-5845	96	11	soft	soft	ADJ
ejpam-5845	96	12	β	β	NOUN
ejpam-5845	96	13	-	-	ADJ
ejpam-5845	96	14	open	open	ADJ
ejpam-5845	96	15	sets	set	NOUN
ejpam-5845	96	16	,	,	PUNCT
ejpam-5845	96	17	are	be	AUX
ejpam-5845	96	18	the	the	DET
ejpam-5845	96	19	foundation	foundation	NOUN
ejpam-5845	96	20	of	of	ADP
ejpam-5845	96	21	this	this	DET
ejpam-5845	96	22	method	method	NOUN
ejpam-5845	96	23	.	.	PUNCT
ejpam-5845	97	1	these	these	DET
ejpam-5845	97	2	structures	structure	NOUN
ejpam-5845	97	3	are	be	AUX
ejpam-5845	97	4	demonstrated	demonstrate	VERB
ejpam-5845	97	5	with	with	ADP
ejpam-5845	97	6	a	a	DET
ejpam-5845	97	7	number	number	NOUN
ejpam-5845	97	8	of	of	ADP
ejpam-5845	97	9	instances	instance	NOUN
ejpam-5845	97	10	.	.	PUNCT
ejpam-5845	98	1	the	the	DET
ejpam-5845	98	2	authors	author	NOUN
ejpam-5845	98	3	used	use	VERB
ejpam-5845	98	4	vague	vague	ADJ
ejpam-5845	98	5	soft	soft	ADJ
ejpam-5845	98	6	β	β	NOUN
ejpam-5845	98	7	-	-	ADJ
ejpam-5845	98	8	open	open	ADJ
ejpam-5845	98	9	sets	set	NOUN
ejpam-5845	98	10	to	to	PART
ejpam-5845	98	11	study	study	VERB
ejpam-5845	98	12	the	the	DET
ejpam-5845	98	13	properties	property	NOUN
ejpam-5845	98	14	of	of	ADP
ejpam-5845	98	15	vague	vague	ADJ
ejpam-5845	98	16	soft	soft	ADJ
ejpam-5845	98	17	bi	bi	ADJ
ejpam-5845	98	18	-	-	ADJ
ejpam-5845	98	19	topological	topological	ADJ
ejpam-5845	98	20	space	space	NOUN
ejpam-5845	98	21	with	with	ADP
ejpam-5845	98	22	respect	respect	NOUN
ejpam-5845	98	23	to	to	ADP
ejpam-5845	98	24	the	the	DET
ejpam-5845	98	25	soft	soft	ADJ
ejpam-5845	98	26	points	point	NOUN
ejpam-5845	98	27	of	of	ADP
ejpam-5845	98	28	the	the	DET
ejpam-5845	98	29	spaces	space	NOUN
ejpam-5845	98	30	.	.	PUNCT
ejpam-5845	99	1	the	the	DET
ejpam-5845	99	2	bolzano	bolzano	NOUN
ejpam-5845	99	3	-	-	PUNCT
ejpam-5845	99	4	weierstrass	weierstrass	NOUN
ejpam-5845	99	5	property	property	NOUN
ejpam-5845	99	6	,	,	PUNCT
ejpam-5845	99	7	vague	vague	ADJ
ejpam-5845	99	8	soft	soft	ADJ
ejpam-5845	99	9	compactness	compactness	NOUN
ejpam-5845	99	10	and	and	CCONJ
ejpam-5845	99	11	its	its	PRON
ejpam-5845	99	12	link	link	NOUN
ejpam-5845	99	13	to	to	ADP
ejpam-5845	99	14	sequences	sequence	NOUN
ejpam-5845	99	15	,	,	PUNCT
ejpam-5845	99	16	the	the	DET
ejpam-5845	99	17	characterization	characterization	NOUN
ejpam-5845	99	18	of	of	ADP
ejpam-5845	99	19	vague	vague	ADJ
ejpam-5845	99	20	soft	soft	ADJ
ejpam-5845	99	21	β	β	NOUN
ejpam-5845	99	22	-	-	VERB
ejpam-5845	99	23	closed	closed	ADJ
ejpam-5845	99	24	and	and	CCONJ
ejpam-5845	99	25	vague	vague	ADJ
ejpam-5845	99	26	soft	soft	ADJ
ejpam-5845	99	27	β	β	NOUN
ejpam-5845	99	28	-	-	PUNCT
ejpam-5845	99	29	opensets	openset	NOUN
ejpam-5845	99	30	,	,	PUNCT
ejpam-5845	99	31	and	and	CCONJ
ejpam-5845	99	32	the	the	DET
ejpam-5845	99	33	relationship	relationship	NOUN
ejpam-5845	99	34	between	between	ADP
ejpam-5845	99	35	countable	countable	ADJ
ejpam-5845	99	36	compactness	compactness	NOUN
ejpam-5845	99	37	and	and	CCONJ
ejpam-5845	99	38	sequential	sequential	ADJ
ejpam-5845	99	39	compactness	compactness	NOUN
ejpam-5845	99	40	in	in	ADP
ejpam-5845	99	41	vsbts	vsbt	NOUN
ejpam-5845	99	42	with	with	ADP
ejpam-5845	99	43	respect	respect	NOUN
ejpam-5845	99	44	to	to	ADP
ejpam-5845	99	45	soft	soft	ADJ
ejpam-5845	99	46	β	β	NOUN
ejpam-5845	99	47	−	−	NOUN
ejpam-5845	99	48	open	open	ADJ
ejpam-5845	99	49	sets	set	NOUN
ejpam-5845	99	50	are	be	AUX
ejpam-5845	99	51	also	also	ADV
ejpam-5845	99	52	discussed	discuss	VERB
ejpam-5845	99	53	.	.	PUNCT
ejpam-5845	100	1	new	new	ADJ
ejpam-5845	100	2	union	union	PROPN
ejpam-5845	100	3	,	,	PUNCT
ejpam-5845	100	4	intersection	intersection	NOUN
ejpam-5845	100	5	,	,	PUNCT
ejpam-5845	100	6	and	and	CCONJ
ejpam-5845	100	7	complement	complement	NOUN
ejpam-5845	100	8	operations	operation	NOUN
ejpam-5845	100	9	were	be	AUX
ejpam-5845	100	10	introduced	introduce	VERB
ejpam-5845	100	11	by	by	ADP
ejpam-5845	100	12	mehmood	mehmood	PROPN
ejpam-5845	100	13	et	et	PROPN
ejpam-5845	100	14	al	al	PROPN
ejpam-5845	100	15	.	.	PUNCT
ejpam-5845	101	1	[	[	X
ejpam-5845	101	2	33	33	NUM
ejpam-5845	101	3	]	]	PUNCT
ejpam-5845	101	4	and	and	CCONJ
ejpam-5845	101	5	serve	serve	VERB
ejpam-5845	101	6	as	as	ADP
ejpam-5845	101	7	the	the	DET
ejpam-5845	101	8	basis	basis	NOUN
ejpam-5845	101	9	for	for	ADP
ejpam-5845	101	10	the	the	DET
ejpam-5845	101	11	definition	definition	NOUN
ejpam-5845	101	12	of	of	ADP
ejpam-5845	101	13	vague	vague	ADJ
ejpam-5845	101	14	soft	soft	ADJ
ejpam-5845	101	15	bi	bi	ADJ
ejpam-5845	101	16	-	-	ADJ
ejpam-5845	101	17	topological	topological	ADJ
ejpam-5845	101	18	space	space	NOUN
ejpam-5845	101	19	.	.	PUNCT
ejpam-5845	102	1	within	within	ADP
ejpam-5845	102	2	vague	vague	ADJ
ejpam-5845	102	3	soft	soft	ADJ
ejpam-5845	102	4	bi	bi	ADJ
ejpam-5845	102	5	-	-	ADJ
ejpam-5845	102	6	topological	topological	ADJ
ejpam-5845	102	7	space	space	NOUN
ejpam-5845	102	8	,	,	PUNCT
ejpam-5845	102	9	they	they	PRON
ejpam-5845	102	10	created	create	VERB
ejpam-5845	102	11	pairwise	pairwise	NOUN
ejpam-5845	102	12	vague	vague	ADJ
ejpam-5845	102	13	soft	soft	ADJ
ejpam-5845	102	14	closed	closed	ADJ
ejpam-5845	102	15	sets	set	NOUN
ejpam-5845	102	16	and	and	CCONJ
ejpam-5845	102	17	pairwise	pairwise	NOUN
ejpam-5845	102	18	vague	vague	ADJ
ejpam-5845	102	19	soft	soft	ADJ
ejpam-5845	102	20	open	open	ADJ
ejpam-5845	102	21	sets	set	NOUN
ejpam-5845	102	22	.	.	PUNCT
ejpam-5845	103	1	they	they	PRON
ejpam-5845	103	2	also	also	ADV
ejpam-5845	103	3	presented	present	VERB
ejpam-5845	103	4	generalized	generalized	ADJ
ejpam-5845	103	5	vague	vague	ADJ
ejpam-5845	103	6	soft	soft	ADJ
ejpam-5845	103	7	open	open	ADJ
ejpam-5845	103	8	sets	set	NOUN
ejpam-5845	103	9	associated	associate	VERB
ejpam-5845	103	10	with	with	ADP
ejpam-5845	103	11	the	the	DET
ejpam-5845	103	12	space	space	NOUN
ejpam-5845	103	13	’s	’s	PART
ejpam-5845	103	14	soft	soft	ADJ
ejpam-5845	103	15	points	point	NOUN
ejpam-5845	103	16	.	.	PUNCT
ejpam-5845	104	1	they	they	PRON
ejpam-5845	104	2	established	establish	VERB
ejpam-5845	104	3	separation	separation	NOUN
ejpam-5845	104	4	axioms	axiom	NOUN
ejpam-5845	104	5	based	base	VERB
ejpam-5845	104	6	on	on	ADP
ejpam-5845	104	7	these	these	DET
ejpam-5845	104	8	generalized	generalize	VERB
ejpam-5845	104	9	ambiguous	ambiguous	ADJ
ejpam-5845	104	10	soft	soft	ADJ
ejpam-5845	104	11	open	open	ADJ
ejpam-5845	104	12	sets	set	NOUN
ejpam-5845	104	13	.	.	PUNCT
ejpam-5845	105	1	furthermore	furthermore	ADV
ejpam-5845	105	2	,	,	PUNCT
ejpam-5845	105	3	other	other	ADJ
ejpam-5845	105	4	noteworthy	noteworthy	ADJ
ejpam-5845	105	5	findings	finding	NOUN
ejpam-5845	105	6	in	in	ADP
ejpam-5845	105	7	vague	vague	ADJ
ejpam-5845	105	8	soft	soft	ADJ
ejpam-5845	105	9	bi	bi	ADJ
ejpam-5845	105	10	-	-	ADJ
ejpam-5845	105	11	topological	topological	ADJ
ejpam-5845	105	12	space	space	NOUN
ejpam-5845	105	13	are	be	AUX
ejpam-5845	105	14	connected	connect	VERB
ejpam-5845	105	15	to	to	ADP
ejpam-5845	105	16	these	these	DET
ejpam-5845	105	17	separation	separation	NOUN
ejpam-5845	105	18	axioms	axiom	NOUN
ejpam-5845	105	19	.	.	PUNCT
ejpam-5845	106	1	the	the	DET
ejpam-5845	106	2	notions	notion	NOUN
ejpam-5845	106	3	of	of	ADP
ejpam-5845	106	4	neutrosophic	neutrosophic	ADJ
ejpam-5845	106	5	soft	soft	ADJ
ejpam-5845	106	6	b	b	NOUN
ejpam-5845	106	7	-	-	PUNCT
ejpam-5845	106	8	closed	closed	ADJ
ejpam-5845	106	9	sets	set	NOUN
ejpam-5845	106	10	and	and	CCONJ
ejpam-5845	106	11	neutrosophic	neutrosophic	ADJ
ejpam-5845	106	12	soft	soft	ADJ
ejpam-5845	106	13	b	b	NOUN
ejpam-5845	106	14	-	-	PUNCT
ejpam-5845	106	15	open	open	ADJ
ejpam-5845	106	16	sets	set	NOUN
ejpam-5845	106	17	,	,	PUNCT
ejpam-5845	106	18	as	as	ADV
ejpam-5845	106	19	well	well	ADV
ejpam-5845	106	20	as	as	ADP
ejpam-5845	106	21	their	their	PRON
ejpam-5845	106	22	attributes	attribute	NOUN
ejpam-5845	106	23	,	,	PUNCT
ejpam-5845	106	24	were	be	AUX
ejpam-5845	106	25	first	first	ADV
ejpam-5845	106	26	presented	present	VERB
ejpam-5845	106	27	by	by	ADP
ejpam-5845	106	28	mehmood	mehmood	PROPN
ejpam-5845	106	29	et	et	PROPN
ejpam-5845	106	30	al	al	PROPN
ejpam-5845	106	31	.	.	PUNCT
ejpam-5845	107	1	[	[	X
ejpam-5845	107	2	34	34	NUM
ejpam-5845	107	3	]	]	PUNCT
ejpam-5845	107	4	.	.	PUNCT
ejpam-5845	108	1	in	in	ADP
ejpam-5845	108	2	connection	connection	NOUN
ejpam-5845	108	3	with	with	ADP
ejpam-5845	108	4	soft	soft	ADJ
ejpam-5845	108	5	points	point	NOUN
ejpam-5845	108	6	,	,	PUNCT
ejpam-5845	108	7	they	they	PRON
ejpam-5845	108	8	also	also	ADV
ejpam-5845	108	9	talked	talk	VERB
ejpam-5845	108	10	about	about	ADP
ejpam-5845	108	11	neutrosophic	neutrosophic	ADJ
ejpam-5845	108	12	soft	soft	ADJ
ejpam-5845	108	13	b	b	NOUN
ejpam-5845	108	14	-	-	PUNCT
ejpam-5845	108	15	neighborhoods	neighborhood	NOUN
ejpam-5845	108	16	and	and	CCONJ
ejpam-5845	108	17	neutrosophic	neutrosophic	ADJ
ejpam-5845	108	18	soft	soft	ADJ
ejpam-5845	108	19	b	b	NOUN
ejpam-5845	108	20	-	-	PUNCT
ejpam-5845	108	21	separation	separation	NOUN
ejpam-5845	108	22	axioms	axiom	NOUN
ejpam-5845	108	23	in	in	ADP
ejpam-5845	108	24	nsts	nst	NOUN
ejpam-5845	108	25	.	.	PUNCT
ejpam-5845	109	1	numerous	numerous	ADJ
ejpam-5845	109	2	findings	finding	NOUN
ejpam-5845	109	3	pertaining	pertain	VERB
ejpam-5845	109	4	to	to	ADP
ejpam-5845	109	5	soft	soft	ADJ
ejpam-5845	109	6	points	point	NOUN
ejpam-5845	109	7	are	be	AUX
ejpam-5845	109	8	used	use	VERB
ejpam-5845	109	9	to	to	PART
ejpam-5845	109	10	investigate	investigate	VERB
ejpam-5845	109	11	the	the	DET
ejpam-5845	109	12	idea	idea	NOUN
ejpam-5845	109	13	of	of	ADP
ejpam-5845	109	14	neutrosophic	neutrosophic	ADJ
ejpam-5845	109	15	soft	soft	ADJ
ejpam-5845	109	16	b	b	NOUN
ejpam-5845	109	17	-	-	PUNCT
ejpam-5845	109	18	separation	separation	NOUN
ejpam-5845	109	19	axioms	axiom	NOUN
ejpam-5845	109	20	.	.	PUNCT
ejpam-5845	110	1	furthermore	furthermore	ADV
ejpam-5845	110	2	,	,	PUNCT
ejpam-5845	110	3	the	the	DET
ejpam-5845	110	4	characteristics	characteristic	NOUN
ejpam-5845	110	5	and	and	CCONJ
ejpam-5845	110	6	relationships	relationship	NOUN
ejpam-5845	110	7	of	of	ADP
ejpam-5845	110	8	neutrosophic	neutrosophic	ADJ
ejpam-5845	110	9	soft	soft	ADJ
ejpam-5845	110	10	ti	ti	NOUN
ejpam-5845	110	11	spaces	space	NOUN
ejpam-5845	110	12	for	for	ADP
ejpam-5845	110	13	(	(	PUNCT
ejpam-5845	110	14	i	i	NOUN
ejpam-5845	110	15	=	=	NOUN
ejpam-5845	110	16	0,1,2,3,4	0,1,2,3,4	NUM
ejpam-5845	110	17	)	)	PUNCT
ejpam-5845	110	18	are	be	AUX
ejpam-5845	110	19	investigated	investigate	VERB
ejpam-5845	110	20	.	.	PUNCT
ejpam-5845	111	1	mehmood	mehmood	PROPN
ejpam-5845	111	2	et	et	PROPN
ejpam-5845	111	3	al	al	PROPN
ejpam-5845	111	4	.	.	PUNCT
ejpam-5845	112	1	[	[	X
ejpam-5845	112	2	35	35	NUM
ejpam-5845	112	3	]	]	PUNCT
ejpam-5845	112	4	discussed	discuss	VERB
ejpam-5845	112	5	nsqs	nsq	NOUN
ejpam-5845	112	6	concerning	concern	VERB
ejpam-5845	112	7	soft	soft	ADJ
ejpam-5845	112	8	points	point	NOUN
ejpam-5845	112	9	.	.	PUNCT
ejpam-5845	113	1	the	the	DET
ejpam-5845	113	2	novel	novel	ADJ
ejpam-5845	113	3	idea	idea	NOUN
ejpam-5845	113	4	of	of	ADP
ejpam-5845	113	5	qpnss	qpnss	NOUN
ejpam-5845	113	6	was	be	AUX
ejpam-5845	113	7	presented	present	VERB
ejpam-5845	113	8	by	by	ADP
ejpam-5845	113	9	ramesh	ramesh	PROPN
ejpam-5845	113	10	and	and	CCONJ
ejpam-5845	113	11	mary	mary	PROPN
ejpam-5845	114	1	[	[	X
ejpam-5845	114	2	36	36	NUM
ejpam-5845	114	3	]	]	PUNCT
ejpam-5845	114	4	,	,	PUNCT
ejpam-5845	114	5	who	who	PRON
ejpam-5845	114	6	also	also	ADV
ejpam-5845	114	7	talked	talk	VERB
ejpam-5845	114	8	about	about	ADP
ejpam-5845	114	9	some	some	PRON
ejpam-5845	114	10	of	of	ADP
ejpam-5845	114	11	its	its	PRON
ejpam-5845	114	12	characteristics	characteristic	NOUN
ejpam-5845	114	13	.	.	PUNCT
ejpam-5845	115	1	for	for	ADP
ejpam-5845	115	2	clarity	clarity	NOUN
ejpam-5845	115	3	and	and	CCONJ
ejpam-5845	115	4	comprehension	comprehension	NOUN
ejpam-5845	115	5	,	,	PUNCT
ejpam-5845	115	6	the	the	DET
ejpam-5845	115	7	writers	writer	NOUN
ejpam-5845	115	8	picked	pick	VERB
ejpam-5845	115	9	the	the	DET
ejpam-5845	115	10	best	good	ADJ
ejpam-5845	115	11	instances	instance	NOUN
ejpam-5845	115	12	and	and	CCONJ
ejpam-5845	115	13	concentrated	concentrate	VERB
ejpam-5845	115	14	on	on	ADP
ejpam-5845	115	15	a	a	DET
ejpam-5845	115	16	methodical	methodical	ADJ
ejpam-5845	115	17	investigation	investigation	NOUN
ejpam-5845	115	18	.	.	PUNCT
ejpam-5845	116	1	shami	shami	PROPN
ejpam-5845	116	2	and	and	CCONJ
ejpam-5845	116	3	mhemdi	mhemdi	PROPN
ejpam-5845	116	4	[	[	X
ejpam-5845	116	5	19	19	NUM
ejpam-5845	116	6	]	]	PUNCT
ejpam-5845	116	7	explored	explore	VERB
ejpam-5845	116	8	two	two	NUM
ejpam-5845	116	9	families	family	NOUN
ejpam-5845	116	10	of	of	ADP
ejpam-5845	116	11	separation	separation	NOUN
ejpam-5845	116	12	axioms	axiom	NOUN
ejpam-5845	116	13	in	in	ADP
ejpam-5845	116	14	the	the	DET
ejpam-5845	116	15	context	context	NOUN
ejpam-5845	116	16	of	of	ADP
ejpam-5845	116	17	infra	infra	NOUN
ejpam-5845	116	18	soft	soft	ADJ
ejpam-5845	116	19	topological	topological	ADJ
ejpam-5845	116	20	spaces	space	NOUN
ejpam-5845	116	21	.	.	PUNCT
ejpam-5845	117	1	their	their	PRON
ejpam-5845	117	2	work	work	NOUN
ejpam-5845	117	3	aimed	aim	VERB
ejpam-5845	117	4	at	at	ADP
ejpam-5845	117	5	classifying	classify	VERB
ejpam-5845	117	6	and	and	CCONJ
ejpam-5845	117	7	analyzing	analyze	VERB
ejpam-5845	117	8	different	different	ADJ
ejpam-5845	117	9	types	type	NOUN
ejpam-5845	117	10	of	of	ADP
ejpam-5845	117	11	separation	separation	NOUN
ejpam-5845	117	12	properties	property	NOUN
ejpam-5845	117	13	within	within	ADP
ejpam-5845	117	14	this	this	DET
ejpam-5845	117	15	specialized	specialized	ADJ
ejpam-5845	117	16	topological	topological	ADJ
ejpam-5845	117	17	framework	framework	NOUN
ejpam-5845	117	18	.	.	PUNCT
ejpam-5845	118	1	shami	shami	PROPN
ejpam-5845	118	2	and	and	CCONJ
ejpam-5845	118	3	liu	liu	PROPN
ejpam-5845	119	1	[	[	X
ejpam-5845	119	2	19	19	NUM
ejpam-5845	119	3	]	]	PUNCT
ejpam-5845	119	4	introduced	introduce	VERB
ejpam-5845	119	5	two	two	NUM
ejpam-5845	119	6	classes	class	NOUN
ejpam-5845	119	7	of	of	ADP
ejpam-5845	119	8	infra	infra	NOUN
ejpam-5845	119	9	-	-	PUNCT
ejpam-5845	119	10	soft	soft	ADJ
ejpam-5845	119	11	separation	separation	NOUN
ejpam-5845	119	12	axioms	axiom	NOUN
ejpam-5845	119	13	.	.	PUNCT
ejpam-5845	120	1	these	these	DET
ejpam-5845	120	2	axioms	axiom	NOUN
ejpam-5845	120	3	are	be	AUX
ejpam-5845	120	4	important	important	ADJ
ejpam-5845	120	5	for	for	ADP
ejpam-5845	120	6	defining	define	VERB
ejpam-5845	120	7	and	and	CCONJ
ejpam-5845	120	8	studying	study	VERB
ejpam-5845	120	9	the	the	DET
ejpam-5845	120	10	separation	separation	NOUN
ejpam-5845	120	11	properties	property	NOUN
ejpam-5845	120	12	of	of	ADP
ejpam-5845	120	13	infra	infra	NOUN
ejpam-5845	120	14	-	-	PUNCT
ejpam-5845	120	15	soft	soft	ADJ
ejpam-5845	120	16	topological	topological	ADJ
ejpam-5845	120	17	spaces	space	NOUN
ejpam-5845	120	18	,	,	PUNCT
ejpam-5845	120	19	extending	extend	VERB
ejpam-5845	120	20	classical	classical	ADJ
ejpam-5845	120	21	separation	separation	NOUN
ejpam-5845	120	22	axioms	axiom	NOUN
ejpam-5845	120	23	to	to	ADP
ejpam-5845	120	24	a	a	DET
ejpam-5845	120	25	more	more	ADV
ejpam-5845	120	26	generalized	generalized	ADJ
ejpam-5845	120	27	soft	soft	ADJ
ejpam-5845	120	28	-	-	PUNCT
ejpam-5845	120	29	topological	topological	ADJ
ejpam-5845	120	30	setting	setting	NOUN
ejpam-5845	120	31	.	.	PUNCT
ejpam-5845	121	1	shami	shami	PROPN
ejpam-5845	121	2	and	and	CCONJ
ejpam-5845	121	3	azzam	azzam	PROPN
ejpam-5845	122	1	[	[	X
ejpam-5845	122	2	37	37	NUM
ejpam-5845	122	3	]	]	PUNCT
ejpam-5845	122	4	focused	focus	VERB
ejpam-5845	122	5	on	on	ADP
ejpam-5845	122	6	the	the	DET
ejpam-5845	122	7	concepts	concept	NOUN
ejpam-5845	122	8	of	of	ADP
ejpam-5845	122	9	soft	soft	ADJ
ejpam-5845	122	10	semi	semi	ADJ
ejpam-5845	122	11	-	-	ADJ
ejpam-5845	122	12	open	open	ADJ
ejpam-5845	122	13	sets	set	NOUN
ejpam-5845	122	14	and	and	CCONJ
ejpam-5845	122	15	infra	infra	NOUN
ejpam-5845	122	16	soft	soft	ADJ
ejpam-5845	122	17	semi	semi	ADJ
ejpam-5845	122	18	continuity	continuity	NOUN
ejpam-5845	122	19	.	.	PUNCT
ejpam-5845	123	1	their	their	PRON
ejpam-5845	123	2	study	study	NOUN
ejpam-5845	123	3	examined	examine	VERB
ejpam-5845	123	4	how	how	SCONJ
ejpam-5845	123	5	these	these	DET
ejpam-5845	123	6	notions	notion	NOUN
ejpam-5845	123	7	interact	interact	VERB
ejpam-5845	123	8	with	with	ADP
ejpam-5845	123	9	infra	infra	NOUN
ejpam-5845	123	10	soft	soft	ADJ
ejpam-5845	123	11	topological	topological	ADJ
ejpam-5845	123	12	spaces	space	NOUN
ejpam-5845	123	13	,	,	PUNCT
ejpam-5845	123	14	offering	offer	VERB
ejpam-5845	123	15	insights	insight	NOUN
ejpam-5845	123	16	into	into	ADP
ejpam-5845	123	17	the	the	DET
ejpam-5845	123	18	continuity	continuity	NOUN
ejpam-5845	123	19	properties	property	NOUN
ejpam-5845	123	20	of	of	ADP
ejpam-5845	123	21	such	such	ADJ
ejpam-5845	123	22	spaces	space	NOUN
ejpam-5845	123	23	.	.	PUNCT
ejpam-5845	124	1	ahmad	ahmad	PROPN
ejpam-5845	124	2	et	et	PROPN
ejpam-5845	124	3	al	al	PROPN
ejpam-5845	124	4	.	.	PUNCT
ejpam-5845	125	1	[	[	X
ejpam-5845	125	2	38	38	NUM
ejpam-5845	125	3	]	]	PUNCT
ejpam-5845	125	4	discussed	discuss	VERB
ejpam-5845	125	5	irreversible	irreversible	ADJ
ejpam-5845	125	6	k	k	ADJ
ejpam-5845	125	7	-	-	PUNCT
ejpam-5845	125	8	threshold	threshold	NOUN
ejpam-5845	125	9	conversion	conversion	NOUN
ejpam-5845	125	10	number	number	NOUN
ejpam-5845	125	11	for	for	ADP
ejpam-5845	125	12	some	some	DET
ejpam-5845	125	13	graph	graph	NOUN
ejpam-5845	125	14	products	product	NOUN
ejpam-5845	125	15	and	and	CCONJ
ejpam-5845	125	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	125	17	graphs	graph	NOUN
ejpam-5845	125	18	.	.	PUNCT
ejpam-5845	126	1	hatamleh	hatamleh	ADJ
ejpam-5845	126	2	et	et	PROPN
ejpam-5845	126	3	al	al	PROPN
ejpam-5845	126	4	.	.	PUNCT
ejpam-5845	127	1	[	[	X
ejpam-5845	127	2	39	39	NUM
ejpam-5845	127	3	]	]	PUNCT
ejpam-5845	127	4	studied	study	VERB
ejpam-5845	127	5	complex	complex	ADJ
ejpam-5845	127	6	tangent	tangent	NOUN
ejpam-5845	127	7	trigonometric	trigonometric	ADJ
ejpam-5845	127	8	approach	approach	NOUN
ejpam-5845	127	9	applied	apply	VERB
ejpam-5845	127	10	to	to	ADP
ejpam-5845	127	11	(	(	PUNCT
ejpam-5845	127	12	ξ	ξ	PROPN
ejpam-5845	127	13	,	,	PUNCT
ejpam-5845	127	14	τ)-rung	τ)-rung	X
ejpam-5845	127	15	fuzzy	fuzzy	ADJ
ejpam-5845	127	16	set	set	VERB
ejpam-5845	127	17	using	use	VERB
ejpam-5845	127	18	weighted	weight	VERB
ejpam-5845	127	19	averaging	averaging	NOUN
ejpam-5845	127	20	,	,	PUNCT
ejpam-5845	127	21	geometric	geometric	ADJ
ejpam-5845	127	22	operators	operator	NOUN
ejpam-5845	127	23	and	and	CCONJ
ejpam-5845	127	24	its	its	PRON
ejpam-5845	127	25	extension	extension	NOUN
ejpam-5845	127	26	.	.	PUNCT
ejpam-5845	128	1	hatamleh	hatamleh	ADJ
ejpam-5845	128	2	et	et	PROPN
ejpam-5845	128	3	al	al	PROPN
ejpam-5845	128	4	.	.	PUNCT
ejpam-5845	129	1	[	[	X
ejpam-5845	129	2	40	40	NUM
ejpam-5845	129	3	]	]	PUNCT
ejpam-5845	129	4	studied	study	VERB
ejpam-5845	129	5	different	different	ADJ
ejpam-5845	129	6	weighted	weight	VERB
ejpam-5845	129	7	operators	operator	NOUN
ejpam-5845	129	8	such	such	ADJ
ejpam-5845	129	9	as	as	ADP
ejpam-5845	129	10	generalized	generalized	ADJ
ejpam-5845	129	11	averaging	averaging	NOUN
ejpam-5845	129	12	and	and	CCONJ
ejpam-5845	129	13	generalized	generalized	ADJ
ejpam-5845	129	14	geometric	geometric	NOUN
ejpam-5845	129	15	based	base	VERB
ejpam-5845	129	16	on	on	ADP
ejpam-5845	129	17	trigonometric	trigonometric	ADJ
ejpam-5845	129	18	℘-rung	℘-rung	NOUN
ejpam-5845	129	19	interval	interval	NOUN
ejpam-5845	129	20	-	-	PUNCT
ejpam-5845	129	21	valued	value	VERB
ejpam-5845	129	22	approach	approach	NOUN
ejpam-5845	129	23	and	and	CCONJ
ejpam-5845	129	24	in	in	ADP
ejpam-5845	129	25	addition	addition	NOUN
ejpam-5845	129	26	to	to	ADP
ejpam-5845	129	27	this	this	PRON
ejpam-5845	129	28	some	some	DET
ejpam-5845	129	29	examples	example	NOUN
ejpam-5845	129	30	were	be	AUX
ejpam-5845	129	31	given	give	VERB
ejpam-5845	129	32	for	for	ADP
ejpam-5845	129	33	clear	clear	ADJ
ejpam-5845	129	34	understanding	understanding	NOUN
ejpam-5845	129	35	.	.	PUNCT
ejpam-5845	130	1	shihadeh	shihadeh	VERB
ejpam-5845	130	2	et	et	PROPN
ejpam-5845	130	3	al	al	PROPN
ejpam-5845	130	4	.	.	PUNCT
ejpam-5845	131	1	[	[	X
ejpam-5845	131	2	41	41	NUM
ejpam-5845	131	3	]	]	PUNCT
ejpam-5845	131	4	discussed	discuss	VERB
ejpam-5845	131	5	algebraic	algebraic	ADJ
ejpam-5845	131	6	structures	structure	NOUN
ejpam-5845	131	7	towards	towards	ADP
ejpam-5845	131	8	different	different	ADJ
ejpam-5845	131	9	(	(	PUNCT
ejpam-5845	131	10	α	α	NOUN
ejpam-5845	131	11	,	,	PUNCT
ejpam-5845	131	12	β	β	NOUN
ejpam-5845	131	13	)	)	PUNCT
ejpam-5845	131	14	intuitionistic	intuitionistic	ADJ
ejpam-5845	131	15	fuzzy	fuzzy	ADJ
ejpam-5845	131	16	ideals	ideal	NOUN
ejpam-5845	131	17	and	and	CCONJ
ejpam-5845	131	18	it	it	PRON
ejpam-5845	131	19	characterization	characterization	NOUN
ejpam-5845	131	20	of	of	ADP
ejpam-5845	131	21	an	an	DET
ejpam-5845	131	22	ordered	order	VERB
ejpam-5845	131	23	ternary	ternary	ADJ
ejpam-5845	131	24	semigroups	semigroup	NOUN
ejpam-5845	131	25	.	.	PUNCT
ejpam-5845	132	1	hatamleh	hatamleh	ADJ
ejpam-5845	132	2	et	et	PROPN
ejpam-5845	132	3	al	al	PROPN
ejpam-5845	132	4	.	.	PUNCT
ejpam-5845	133	1	[	[	X
ejpam-5845	133	2	40	40	NUM
ejpam-5845	133	3	,	,	PUNCT
ejpam-5845	133	4	42	42	NUM
ejpam-5845	133	5	]	]	PUNCT
ejpam-5845	133	6	studied	study	VERB
ejpam-5845	133	7	operators	operator	NOUN
ejpam-5845	133	8	via	via	ADP
ejpam-5845	133	9	weighted	weighted	ADJ
ejpam-5845	133	10	averaging	averaging	NOUN
ejpam-5845	133	11	and	and	CCONJ
ejpam-5845	133	12	geometric	geometric	ADJ
ejpam-5845	133	13	approach	approach	NOUN
ejpam-5845	133	14	using	use	VERB
ejpam-5845	133	15	trigonometric	trigonometric	ADJ
ejpam-5845	133	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	133	17	interval	interval	NOUN
ejpam-5845	133	18	valued	value	VERB
ejpam-5845	133	19	set	set	NOUN
ejpam-5845	133	20	and	and	CCONJ
ejpam-5845	133	21	its	its	PRON
ejpam-5845	133	22	extension	extension	NOUN
ejpam-5845	133	23	and	and	CCONJ
ejpam-5845	133	24	characterization	characterization	NOUN
ejpam-5845	133	25	of	of	ADP
ejpam-5845	133	26	interaction	interaction	NOUN
ejpam-5845	133	27	aggregating	aggregate	VERB
ejpam-5845	133	28	operators	operator	NOUN
ejpam-5845	133	29	setting	set	VERB
ejpam-5845	133	30	interval	interval	NOUN
ejpam-5845	133	31	valued	value	VERB
ejpam-5845	133	32	pythagorean	pythagorean	PROPN
ejpam-5845	133	33	neutrosophic	neutrosophic	PROPN
ejpam-5845	133	34	set	set	PROPN
ejpam-5845	133	35	.	.	PUNCT
ejpam-5845	134	1	hatamleh	hatamleh	PROPN
ejpam-5845	134	2	et	et	PROPN
ejpam-5845	134	3	al	al	PROPN
ejpam-5845	134	4	.	.	PUNCT
ejpam-5845	135	1	[	[	X
ejpam-5845	135	2	38	38	NUM
ejpam-5845	135	3	,	,	PUNCT
ejpam-5845	135	4	43	43	NUM
ejpam-5845	135	5	]	]	PUNCT
ejpam-5845	135	6	discussed	discuss	VERB
ejpam-5845	135	7	applications	application	NOUN
ejpam-5845	135	8	of	of	ADP
ejpam-5845	135	9	complex	complex	ADJ
ejpam-5845	135	10	interval	interval	NOUN
ejpam-5845	135	11	valued	value	VERB
ejpam-5845	135	12	picture	picture	NOUN
ejpam-5845	135	13	fuzzy	fuzzy	ADJ
ejpam-5845	135	14	soft	soft	ADJ
ejpam-5845	135	15	relations	relation	NOUN
ejpam-5845	135	16	.	.	PUNCT
ejpam-5845	135	17	.	.	PUNCT
ejpam-5845	136	1	el	el	PROPN
ejpam-5845	136	2	-	-	PUNCT
ejpam-5845	136	3	sheikh	sheikh	PROPN
ejpam-5845	136	4	and	and	CCONJ
ejpam-5845	136	5	abd	abd	PROPN
ejpam-5845	136	6	el	el	PROPN
ejpam-5845	136	7	-	-	PROPN
ejpam-5845	136	8	latif	latif	PROPN
ejpam-5845	136	9	[	[	X
ejpam-5845	136	10	44	44	NUM
ejpam-5845	136	11	]	]	PUNCT
ejpam-5845	136	12	discussed	discuss	VERB
ejpam-5845	136	13	decompositions	decomposition	NOUN
ejpam-5845	136	14	of	of	ADP
ejpam-5845	136	15	some	some	DET
ejpam-5845	136	16	types	type	NOUN
ejpam-5845	136	17	of	of	ADP
ejpam-5845	136	18	supra	supra	ADJ
ejpam-5845	136	19	soft	soft	ADJ
ejpam-5845	136	20	sets	set	NOUN
ejpam-5845	136	21	and	and	CCONJ
ejpam-5845	136	22	soft	soft	ADJ
ejpam-5845	136	23	continuity	continuity	NOUN
ejpam-5845	136	24	and	and	CCONJ
ejpam-5845	136	25	cited	cite	VERB
ejpam-5845	136	26	some	some	DET
ejpam-5845	136	27	excellent	excellent	ADJ
ejpam-5845	136	28	m.	m.	NOUN
ejpam-5845	136	29	m.	m.	NOUN
ejpam-5845	136	30	saeed	saeed	PROPN
ejpam-5845	136	31	et	et	PROPN
ejpam-5845	136	32	al	al	PROPN
ejpam-5845	136	33	.	.	PUNCT
ejpam-5845	136	34	/	/	SYM
ejpam-5845	136	35	eur	eur	PROPN
ejpam-5845	136	36	.	.	PUNCT
ejpam-5845	137	1	j.	j.	PROPN
ejpam-5845	137	2	pure	pure	PROPN
ejpam-5845	137	3	appl	appl	PROPN
ejpam-5845	137	4	.	.	PROPN
ejpam-5845	137	5	math	math	PROPN
ejpam-5845	137	6	,	,	PUNCT
ejpam-5845	137	7	18	18	NUM
ejpam-5845	137	8	(	(	PUNCT
ejpam-5845	137	9	2	2	NUM
ejpam-5845	137	10	)	)	PUNCT
ejpam-5845	137	11	(	(	PUNCT
ejpam-5845	137	12	2025	2025	NUM
ejpam-5845	137	13	)	)	PUNCT
ejpam-5845	137	14	,	,	PUNCT
ejpam-5845	137	15	5845	5845	NUM
ejpam-5845	137	16	4	4	NUM
ejpam-5845	137	17	of	of	ADP
ejpam-5845	137	18	32	32	NUM
ejpam-5845	137	19	examples	example	NOUN
ejpam-5845	137	20	for	for	ADP
ejpam-5845	137	21	clear	clear	ADJ
ejpam-5845	137	22	understating	understate	VERB
ejpam-5845	137	23	the	the	DET
ejpam-5845	137	24	concept	concept	NOUN
ejpam-5845	137	25	.	.	PUNCT
ejpam-5845	138	1	abd	abd	PROPN
ejpam-5845	138	2	el	el	PROPN
ejpam-5845	138	3	-	-	PROPN
ejpam-5845	138	4	latif	latif	PROPN
ejpam-5845	138	5	[	[	X
ejpam-5845	138	6	45	45	NUM
ejpam-5845	138	7	]	]	PUNCT
ejpam-5845	138	8	discussed	discuss	VERB
ejpam-5845	138	9	soft	soft	ADJ
ejpam-5845	138	10	supra	supra	ADJ
ejpam-5845	138	11	compactness	compactness	NOUN
ejpam-5845	138	12	in	in	ADP
ejpam-5845	138	13	supra	supra	PROPN
ejpam-5845	138	14	soft	soft	ADJ
ejpam-5845	138	15	topological	topological	ADJ
ejpam-5845	138	16	spaces	space	NOUN
ejpam-5845	138	17	.	.	PUNCT
ejpam-5845	139	1	abd	abd	PROPN
ejpam-5845	139	2	el	el	PROPN
ejpam-5845	139	3	-	-	PROPN
ejpam-5845	139	4	latif	latif	PROPN
ejpam-5845	139	5	and	and	CCONJ
ejpam-5845	139	6	hosny	hosny	PROPN
ejpam-5845	139	7	,	,	PUNCT
ejpam-5845	139	8	[	[	X
ejpam-5845	139	9	46	46	NUM
ejpam-5845	139	10	]	]	PUNCT
ejpam-5845	139	11	discussed	discuss	VERB
ejpam-5845	139	12	the	the	DET
ejpam-5845	139	13	eye	eye	NOUN
ejpam-5845	139	14	catching	catch	VERB
ejpam-5845	139	15	concept	concept	NOUN
ejpam-5845	139	16	of	of	ADP
ejpam-5845	139	17	soft	soft	ADJ
ejpam-5845	139	18	separation	separation	NOUN
ejpam-5845	139	19	axioms	axiom	NOUN
ejpam-5845	139	20	and	and	CCONJ
ejpam-5845	139	21	give	give	VERB
ejpam-5845	139	22	examples	example	NOUN
ejpam-5845	139	23	.	.	PUNCT
ejpam-5845	140	1	abd	abd	PROPN
ejpam-5845	140	2	el	el	PROPN
ejpam-5845	140	3	-	-	PROPN
ejpam-5845	140	4	latif	latif	PROPN
ejpam-5845	140	5	and	and	CCONJ
ejpam-5845	140	6	hosny	hosny	PROPN
ejpam-5845	140	7	discussed	discuss	VERB
ejpam-5845	140	8	some	some	DET
ejpam-5845	140	9	more	more	ADJ
ejpam-5845	140	10	structures	structure	NOUN
ejpam-5845	140	11	in	in	ADP
ejpam-5845	140	12	[	[	X
ejpam-5845	140	13	45	45	NUM
ejpam-5845	140	14	,	,	PUNCT
ejpam-5845	140	15	47	47	NUM
ejpam-5845	140	16	]	]	PUNCT
ejpam-5845	140	17	.	.	PUNCT
ejpam-5845	141	1	1.2	1.2	NUM
ejpam-5845	141	2	.	.	PUNCT
ejpam-5845	141	3	research	research	NOUN
ejpam-5845	141	4	gap	gap	NOUN
ejpam-5845	141	5	in	in	ADP
ejpam-5845	141	6	neutrosophic	neutrosophic	ADJ
ejpam-5845	141	7	set	set	NOUN
ejpam-5845	141	8	theory	theory	NOUN
ejpam-5845	141	9	,	,	PUNCT
ejpam-5845	141	10	three	three	NUM
ejpam-5845	141	11	membership	membership	NOUN
ejpam-5845	141	12	functions	function	NOUN
ejpam-5845	141	13	truth	truth	NOUN
ejpam-5845	141	14	,	,	PUNCT
ejpam-5845	141	15	indeterminacy	indeterminacy	NOUN
ejpam-5845	141	16	,	,	PUNCT
ejpam-5845	141	17	and	and	CCONJ
ejpam-5845	141	18	falsity	falsity	NOUN
ejpam-5845	141	19	are	be	AUX
ejpam-5845	141	20	commonly	commonly	ADV
ejpam-5845	141	21	used	use	VERB
ejpam-5845	141	22	.	.	PUNCT
ejpam-5845	142	1	however	however	ADV
ejpam-5845	142	2	,	,	PUNCT
ejpam-5845	142	3	the	the	DET
ejpam-5845	142	4	indeterminacy	indeterminacy	NOUN
ejpam-5845	142	5	function	function	NOUN
ejpam-5845	142	6	presents	present	VERB
ejpam-5845	142	7	a	a	DET
ejpam-5845	142	8	significant	significant	ADJ
ejpam-5845	142	9	challenge	challenge	NOUN
ejpam-5845	142	10	,	,	PUNCT
ejpam-5845	142	11	as	as	SCONJ
ejpam-5845	142	12	it	it	PRON
ejpam-5845	142	13	introduces	introduce	VERB
ejpam-5845	142	14	ambiguity	ambiguity	NOUN
ejpam-5845	142	15	,	,	PUNCT
ejpam-5845	142	16	making	make	VERB
ejpam-5845	142	17	it	it	PRON
ejpam-5845	142	18	difficult	difficult	ADJ
ejpam-5845	142	19	to	to	PART
ejpam-5845	142	20	decisively	decisively	ADV
ejpam-5845	142	21	classify	classify	VERB
ejpam-5845	142	22	elements	element	NOUN
ejpam-5845	142	23	.	.	PUNCT
ejpam-5845	143	1	this	this	DET
ejpam-5845	143	2	indeterminate	indeterminate	ADJ
ejpam-5845	143	3	region	region	NOUN
ejpam-5845	143	4	often	often	ADV
ejpam-5845	143	5	leads	lead	VERB
ejpam-5845	143	6	to	to	ADP
ejpam-5845	143	7	errors	error	NOUN
ejpam-5845	143	8	and	and	CCONJ
ejpam-5845	143	9	confusion	confusion	NOUN
ejpam-5845	143	10	in	in	ADP
ejpam-5845	143	11	the	the	DET
ejpam-5845	143	12	final	final	ADJ
ejpam-5845	143	13	results	result	NOUN
ejpam-5845	143	14	,	,	PUNCT
ejpam-5845	143	15	limiting	limit	VERB
ejpam-5845	143	16	the	the	DET
ejpam-5845	143	17	applicability	applicability	NOUN
ejpam-5845	143	18	and	and	CCONJ
ejpam-5845	143	19	precision	precision	NOUN
ejpam-5845	143	20	of	of	ADP
ejpam-5845	143	21	neutrosophic	neutrosophic	ADJ
ejpam-5845	143	22	sets	set	NOUN
ejpam-5845	143	23	in	in	ADP
ejpam-5845	143	24	practical	practical	ADJ
ejpam-5845	143	25	scenarios	scenario	NOUN
ejpam-5845	143	26	.	.	PUNCT
ejpam-5845	144	1	while	while	SCONJ
ejpam-5845	144	2	some	some	DET
ejpam-5845	144	3	attempts	attempt	NOUN
ejpam-5845	144	4	have	have	AUX
ejpam-5845	144	5	been	be	AUX
ejpam-5845	144	6	made	make	VERB
ejpam-5845	144	7	to	to	PART
ejpam-5845	144	8	address	address	VERB
ejpam-5845	144	9	this	this	DET
ejpam-5845	144	10	issue	issue	NOUN
ejpam-5845	144	11	,	,	PUNCT
ejpam-5845	144	12	there	there	PRON
ejpam-5845	144	13	is	be	VERB
ejpam-5845	144	14	still	still	ADV
ejpam-5845	144	15	a	a	DET
ejpam-5845	144	16	gap	gap	NOUN
ejpam-5845	144	17	in	in	ADP
ejpam-5845	144	18	fully	fully	ADV
ejpam-5845	144	19	resolving	resolve	VERB
ejpam-5845	144	20	the	the	DET
ejpam-5845	144	21	indeterminacy	indeterminacy	NOUN
ejpam-5845	144	22	.	.	PUNCT
ejpam-5845	145	1	a	a	DET
ejpam-5845	145	2	potential	potential	ADJ
ejpam-5845	145	3	solution	solution	NOUN
ejpam-5845	145	4	lies	lie	VERB
ejpam-5845	145	5	in	in	ADP
ejpam-5845	145	6	further	further	ADJ
ejpam-5845	145	7	subdividing	subdivide	VERB
ejpam-5845	145	8	the	the	DET
ejpam-5845	145	9	indeterminacy	indeterminacy	NOUN
ejpam-5845	145	10	component	component	NOUN
ejpam-5845	145	11	into	into	ADP
ejpam-5845	145	12	two	two	NUM
ejpam-5845	145	13	distinct	distinct	ADJ
ejpam-5845	145	14	parts	part	NOUN
ejpam-5845	145	15	:	:	PUNCT
ejpam-5845	145	16	one	one	NUM
ejpam-5845	145	17	that	that	PRON
ejpam-5845	145	18	tends	tend	VERB
ejpam-5845	145	19	toward	toward	ADP
ejpam-5845	145	20	truth	truth	NOUN
ejpam-5845	145	21	and	and	CCONJ
ejpam-5845	145	22	the	the	DET
ejpam-5845	145	23	other	other	ADJ
ejpam-5845	145	24	that	that	PRON
ejpam-5845	145	25	tends	tend	VERB
ejpam-5845	145	26	toward	toward	ADP
ejpam-5845	145	27	falsity	falsity	NOUN
ejpam-5845	145	28	.	.	PUNCT
ejpam-5845	146	1	this	this	PRON
ejpam-5845	146	2	would	would	AUX
ejpam-5845	146	3	effectively	effectively	ADV
ejpam-5845	146	4	eliminate	eliminate	VERB
ejpam-5845	146	5	the	the	DET
ejpam-5845	146	6	ambiguity	ambiguity	NOUN
ejpam-5845	146	7	associated	associate	VERB
ejpam-5845	146	8	with	with	ADP
ejpam-5845	146	9	indeterminacy	indeterminacy	NOUN
ejpam-5845	146	10	.	.	PUNCT
ejpam-5845	147	1	however	however	ADV
ejpam-5845	147	2	,	,	PUNCT
ejpam-5845	147	3	to	to	ADP
ejpam-5845	147	4	date	date	NOUN
ejpam-5845	147	5	,	,	PUNCT
ejpam-5845	147	6	no	no	DET
ejpam-5845	147	7	comprehensive	comprehensive	ADJ
ejpam-5845	147	8	framework	framework	NOUN
ejpam-5845	147	9	has	have	AUX
ejpam-5845	147	10	been	be	AUX
ejpam-5845	147	11	proposed	propose	VERB
ejpam-5845	147	12	that	that	PRON
ejpam-5845	147	13	incorporates	incorporate	VERB
ejpam-5845	147	14	this	this	DET
ejpam-5845	147	15	subdivision	subdivision	NOUN
ejpam-5845	147	16	.	.	PUNCT
ejpam-5845	148	1	there	there	PRON
ejpam-5845	148	2	is	be	VERB
ejpam-5845	148	3	a	a	DET
ejpam-5845	148	4	need	need	NOUN
ejpam-5845	148	5	for	for	ADP
ejpam-5845	148	6	the	the	DET
ejpam-5845	148	7	development	development	NOUN
ejpam-5845	148	8	of	of	ADP
ejpam-5845	148	9	a	a	DET
ejpam-5845	148	10	new	new	ADJ
ejpam-5845	148	11	set	set	NOUN
ejpam-5845	148	12	structure	structure	NOUN
ejpam-5845	148	13	,	,	PUNCT
ejpam-5845	148	14	which	which	PRON
ejpam-5845	148	15	would	would	AUX
ejpam-5845	148	16	consist	consist	VERB
ejpam-5845	148	17	of	of	ADP
ejpam-5845	148	18	four	four	NUM
ejpam-5845	148	19	components	component	NOUN
ejpam-5845	148	20	.	.	PUNCT
ejpam-5845	149	1	this	this	PRON
ejpam-5845	149	2	could	could	AUX
ejpam-5845	149	3	lead	lead	VERB
ejpam-5845	149	4	to	to	ADP
ejpam-5845	149	5	the	the	DET
ejpam-5845	149	6	creation	creation	NOUN
ejpam-5845	149	7	of	of	ADP
ejpam-5845	149	8	a	a	DET
ejpam-5845	149	9	quadripartitioned	quadripartitione	VERB
ejpam-5845	149	10	neutrosophic	neutrosophic	ADJ
ejpam-5845	149	11	set	set	NOUN
ejpam-5845	149	12	,	,	PUNCT
ejpam-5845	149	13	and	and	CCONJ
ejpam-5845	149	14	subsequently	subsequently	ADV
ejpam-5845	149	15	,	,	PUNCT
ejpam-5845	149	16	the	the	DET
ejpam-5845	149	17	introduction	introduction	NOUN
ejpam-5845	149	18	of	of	ADP
ejpam-5845	149	19	a	a	DET
ejpam-5845	149	20	novel	novel	ADJ
ejpam-5845	149	21	structure	structure	NOUN
ejpam-5845	149	22	known	know	VERB
ejpam-5845	149	23	as	as	ADP
ejpam-5845	149	24	the	the	DET
ejpam-5845	149	25	quadripartitioned	quadripartitioned	ADJ
ejpam-5845	149	26	neutrosophic	neutrosophic	PROPN
ejpam-5845	149	27	topological	topological	ADJ
ejpam-5845	149	28	space	space	NOUN
ejpam-5845	149	29	.	.	PUNCT
ejpam-5845	150	1	this	this	DET
ejpam-5845	150	2	new	new	ADJ
ejpam-5845	150	3	structure	structure	NOUN
ejpam-5845	150	4	could	could	AUX
ejpam-5845	150	5	provide	provide	VERB
ejpam-5845	150	6	a	a	DET
ejpam-5845	150	7	more	more	ADV
ejpam-5845	150	8	precise	precise	ADJ
ejpam-5845	150	9	and	and	CCONJ
ejpam-5845	150	10	error	error	NOUN
ejpam-5845	150	11	-	-	PUNCT
ejpam-5845	150	12	minimized	minimized	ADJ
ejpam-5845	150	13	approach	approach	NOUN
ejpam-5845	150	14	,	,	PUNCT
ejpam-5845	150	15	enabling	enable	VERB
ejpam-5845	150	16	more	more	ADV
ejpam-5845	150	17	accurate	accurate	ADJ
ejpam-5845	150	18	operations	operation	NOUN
ejpam-5845	150	19	,	,	PUNCT
ejpam-5845	150	20	properties	property	NOUN
ejpam-5845	150	21	,	,	PUNCT
ejpam-5845	150	22	and	and	CCONJ
ejpam-5845	150	23	results	result	NOUN
ejpam-5845	150	24	to	to	PART
ejpam-5845	150	25	be	be	AUX
ejpam-5845	150	26	derived	derive	VERB
ejpam-5845	150	27	from	from	ADP
ejpam-5845	150	28	neutrosophic	neutrosophic	ADJ
ejpam-5845	150	29	sets	set	NOUN
ejpam-5845	150	30	.	.	PUNCT
ejpam-5845	151	1	thus	thus	ADV
ejpam-5845	151	2	,	,	PUNCT
ejpam-5845	151	3	there	there	PRON
ejpam-5845	151	4	exists	exist	VERB
ejpam-5845	151	5	a	a	DET
ejpam-5845	151	6	clear	clear	ADJ
ejpam-5845	151	7	research	research	NOUN
ejpam-5845	151	8	gap	gap	NOUN
ejpam-5845	151	9	in	in	ADP
ejpam-5845	151	10	formalizing	formalizing	NOUN
ejpam-5845	151	11	and	and	CCONJ
ejpam-5845	151	12	exploring	explore	VERB
ejpam-5845	151	13	the	the	DET
ejpam-5845	151	14	properties	property	NOUN
ejpam-5845	151	15	and	and	CCONJ
ejpam-5845	151	16	applications	application	NOUN
ejpam-5845	151	17	of	of	ADP
ejpam-5845	151	18	quadripartitioned	quadripartitione	VERB
ejpam-5845	151	19	neutrosophic	neutrosophic	ADJ
ejpam-5845	151	20	topological	topological	ADJ
ejpam-5845	151	21	spaces	space	NOUN
ejpam-5845	151	22	.	.	PUNCT
ejpam-5845	152	1	1.3	1.3	NUM
ejpam-5845	152	2	.	.	PUNCT
ejpam-5845	152	3	motivation	motivation	VERB
ejpam-5845	152	4	a	a	DET
ejpam-5845	152	5	modified	modify	VERB
ejpam-5845	152	6	version	version	NOUN
ejpam-5845	152	7	of	of	ADP
ejpam-5845	152	8	a	a	DET
ejpam-5845	152	9	neutrosophic	neutrosophic	ADJ
ejpam-5845	152	10	set	set	NOUN
ejpam-5845	152	11	,	,	PUNCT
ejpam-5845	152	12	called	call	VERB
ejpam-5845	152	13	the	the	DET
ejpam-5845	152	14	double	double	ADV
ejpam-5845	152	15	-	-	PUNCT
ejpam-5845	152	16	valued	value	VERB
ejpam-5845	152	17	neutrosophic	neutrosophic	ADJ
ejpam-5845	152	18	set	set	NOUN
ejpam-5845	152	19	(	(	PUNCT
ejpam-5845	152	20	dvns	dvns	PROPN
ejpam-5845	152	21	)	)	PUNCT
ejpam-5845	152	22	,	,	PUNCT
ejpam-5845	152	23	which	which	PRON
ejpam-5845	152	24	consists	consist	VERB
ejpam-5845	152	25	of	of	ADP
ejpam-5845	152	26	two	two	NUM
ejpam-5845	152	27	different	different	ADJ
ejpam-5845	152	28	indeterminate	indeterminate	ADJ
ejpam-5845	152	29	values	value	NOUN
ejpam-5845	152	30	,	,	PUNCT
ejpam-5845	152	31	was	be	AUX
ejpam-5845	152	32	introduced	introduce	VERB
ejpam-5845	152	33	by	by	ADP
ejpam-5845	152	34	kandasamy	kandasamy	NOUN
ejpam-5845	152	35	[	[	X
ejpam-5845	152	36	31	31	NUM
ejpam-5845	152	37	]	]	PUNCT
ejpam-5845	152	38	.	.	PUNCT
ejpam-5845	153	1	examples	example	NOUN
ejpam-5845	153	2	are	be	AUX
ejpam-5845	153	3	provided	provide	VERB
ejpam-5845	153	4	to	to	PART
ejpam-5845	153	5	define	define	VERB
ejpam-5845	153	6	and	and	CCONJ
ejpam-5845	153	7	demonstrate	demonstrate	VERB
ejpam-5845	153	8	the	the	DET
ejpam-5845	153	9	related	related	ADJ
ejpam-5845	153	10	attributes	attribute	NOUN
ejpam-5845	153	11	and	and	CCONJ
ejpam-5845	153	12	axioms	axiom	NOUN
ejpam-5845	153	13	.	.	PUNCT
ejpam-5845	154	1	in	in	ADP
ejpam-5845	154	2	several	several	ADJ
ejpam-5845	154	3	research	research	NOUN
ejpam-5845	154	4	domains	domain	NOUN
ejpam-5845	154	5	,	,	PUNCT
ejpam-5845	154	6	such	such	ADJ
ejpam-5845	154	7	as	as	ADP
ejpam-5845	154	8	data	data	NOUN
ejpam-5845	154	9	mining	mining	NOUN
ejpam-5845	154	10	,	,	PUNCT
ejpam-5845	154	11	pattern	pattern	NOUN
ejpam-5845	154	12	recognition	recognition	NOUN
ejpam-5845	154	13	,	,	PUNCT
ejpam-5845	154	14	and	and	CCONJ
ejpam-5845	154	15	machine	machine	NOUN
ejpam-5845	154	16	learning	learning	NOUN
ejpam-5845	154	17	,	,	PUNCT
ejpam-5845	154	18	clustering	cluster	VERB
ejpam-5845	154	19	is	be	AUX
ejpam-5845	154	20	essential	essential	ADJ
ejpam-5845	154	21	.	.	PUNCT
ejpam-5845	155	1	the	the	DET
ejpam-5845	155	2	cornerstone	cornerstone	NOUN
ejpam-5845	155	3	for	for	ADP
ejpam-5845	155	4	building	build	VERB
ejpam-5845	155	5	a	a	DET
ejpam-5845	155	6	clustering	clustering	ADJ
ejpam-5845	155	7	method	method	NOUN
ejpam-5845	155	8	is	be	AUX
ejpam-5845	155	9	the	the	DET
ejpam-5845	155	10	establishment	establishment	NOUN
ejpam-5845	155	11	of	of	ADP
ejpam-5845	155	12	a	a	DET
ejpam-5845	155	13	generalized	generalized	ADJ
ejpam-5845	155	14	distance	distance	NOUN
ejpam-5845	155	15	measure	measure	NOUN
ejpam-5845	155	16	between	between	ADP
ejpam-5845	155	17	dvnss	dvns	NOUN
ejpam-5845	155	18	and	and	CCONJ
ejpam-5845	155	19	the	the	DET
ejpam-5845	155	20	accompanying	accompanying	ADJ
ejpam-5845	155	21	distance	distance	NOUN
ejpam-5845	155	22	matrix	matrix	NOUN
ejpam-5845	155	23	.	.	PUNCT
ejpam-5845	156	1	in	in	ADP
ejpam-5845	156	2	order	order	NOUN
ejpam-5845	156	3	to	to	PART
ejpam-5845	156	4	efficiently	efficiently	ADV
ejpam-5845	156	5	cluster	cluster	NOUN
ejpam-5845	156	6	data	datum	NOUN
ejpam-5845	156	7	represented	represent	VERB
ejpam-5845	156	8	by	by	ADP
ejpam-5845	156	9	double	double	ADJ
ejpam-5845	156	10	-	-	PUNCT
ejpam-5845	156	11	valued	value	VERB
ejpam-5845	156	12	neutrosophic	neutrosophic	ADJ
ejpam-5845	156	13	information	information	NOUN
ejpam-5845	156	14	,	,	PUNCT
ejpam-5845	156	15	this	this	DET
ejpam-5845	156	16	work	work	NOUN
ejpam-5845	156	17	suggests	suggest	VERB
ejpam-5845	156	18	the	the	DET
ejpam-5845	156	19	double	double	ADV
ejpam-5845	156	20	-	-	PUNCT
ejpam-5845	156	21	valued	value	VERB
ejpam-5845	156	22	neutrosophic	neutrosophic	ADJ
ejpam-5845	156	23	minimum	minimum	NOUN
ejpam-5845	156	24	spanning	span	VERB
ejpam-5845	156	25	tree	tree	NOUN
ejpam-5845	156	26	(	(	PUNCT
ejpam-5845	156	27	dvn	dvn	ADJ
ejpam-5845	156	28	-	-	PUNCT
ejpam-5845	156	29	mst	mst	NOUN
ejpam-5845	156	30	)	)	PUNCT
ejpam-5845	156	31	clustering	clustering	ADJ
ejpam-5845	156	32	technique	technique	NOUN
ejpam-5845	156	33	.	.	PUNCT
ejpam-5845	157	1	to	to	PART
ejpam-5845	157	2	demonstrate	demonstrate	VERB
ejpam-5845	157	3	the	the	DET
ejpam-5845	157	4	usefulness	usefulness	NOUN
ejpam-5845	157	5	and	and	CCONJ
ejpam-5845	157	6	uses	use	NOUN
ejpam-5845	157	7	of	of	ADP
ejpam-5845	157	8	this	this	DET
ejpam-5845	157	9	clustering	clustering	ADJ
ejpam-5845	157	10	approach	approach	NOUN
ejpam-5845	157	11	,	,	PUNCT
ejpam-5845	157	12	illustrative	illustrative	ADJ
ejpam-5845	157	13	examples	example	NOUN
ejpam-5845	157	14	are	be	AUX
ejpam-5845	157	15	given	give	VERB
ejpam-5845	157	16	.	.	PUNCT
ejpam-5845	158	1	this	this	DET
ejpam-5845	158	2	work	work	NOUN
ejpam-5845	158	3	inspired	inspire	VERB
ejpam-5845	158	4	me	i	PRON
ejpam-5845	158	5	and	and	CCONJ
ejpam-5845	158	6	served	serve	VERB
ejpam-5845	158	7	as	as	ADP
ejpam-5845	158	8	a	a	DET
ejpam-5845	158	9	stepping	stepping	ADJ
ejpam-5845	158	10	stone	stone	NOUN
ejpam-5845	158	11	for	for	ADP
ejpam-5845	158	12	my	my	PRON
ejpam-5845	158	13	current	current	ADJ
ejpam-5845	158	14	research	research	NOUN
ejpam-5845	158	15	.	.	PUNCT
ejpam-5845	159	1	1.4	1.4	NUM
ejpam-5845	159	2	.	.	PUNCT
ejpam-5845	159	3	novelty	novelty	NOUN
ejpam-5845	159	4	the	the	DET
ejpam-5845	159	5	quadri	quadri	NOUN
ejpam-5845	159	6	-	-	PUNCT
ejpam-5845	159	7	portioned	portion	VERB
ejpam-5845	159	8	neutrosophic	neutrosophic	ADJ
ejpam-5845	159	9	soft	soft	ADJ
ejpam-5845	159	10	set	set	NOUN
ejpam-5845	159	11	(	(	PUNCT
ejpam-5845	159	12	qpnss	qpnss	NOUN
ejpam-5845	159	13	)	)	PUNCT
ejpam-5845	159	14	is	be	AUX
ejpam-5845	159	15	a	a	DET
ejpam-5845	159	16	novel	novel	ADJ
ejpam-5845	159	17	framework	framework	NOUN
ejpam-5845	159	18	that	that	PRON
ejpam-5845	159	19	represents	represent	VERB
ejpam-5845	159	20	a	a	DET
ejpam-5845	159	21	major	major	ADJ
ejpam-5845	159	22	breakthrough	breakthrough	NOUN
ejpam-5845	159	23	in	in	ADP
ejpam-5845	159	24	neutrosophic	neutrosophic	ADJ
ejpam-5845	159	25	set	set	NOUN
ejpam-5845	159	26	theory	theory	NOUN
ejpam-5845	159	27	.	.	PUNCT
ejpam-5845	160	1	this	this	DET
ejpam-5845	160	2	approach	approach	NOUN
ejpam-5845	160	3	distinguishes	distinguish	VERB
ejpam-5845	160	4	between	between	ADP
ejpam-5845	160	5	relative	relative	ADJ
ejpam-5845	160	6	truth	truth	NOUN
ejpam-5845	160	7	(	(	PUNCT
ejpam-5845	160	8	rt	rt	NOUN
ejpam-5845	160	9	)	)	PUNCT
ejpam-5845	160	10	and	and	CCONJ
ejpam-5845	160	11	relative	relative	ADJ
ejpam-5845	160	12	falsehood	falsehood	NOUN
ejpam-5845	160	13	(	(	PUNCT
ejpam-5845	160	14	rf	rf	NOUN
ejpam-5845	160	15	)	)	PUNCT
ejpam-5845	160	16	,	,	PUNCT
ejpam-5845	160	17	two	two	NUM
ejpam-5845	160	18	essential	essential	ADJ
ejpam-5845	160	19	elements	element	NOUN
ejpam-5845	160	20	of	of	ADP
ejpam-5845	160	21	indeterminacy	indeterminacy	NOUN
ejpam-5845	160	22	,	,	PUNCT
ejpam-5845	160	23	improving	improve	VERB
ejpam-5845	160	24	sensitivity	sensitivity	NOUN
ejpam-5845	160	25	and	and	CCONJ
ejpam-5845	160	26	accuracy	accuracy	NOUN
ejpam-5845	160	27	in	in	ADP
ejpam-5845	160	28	uncertain	uncertain	ADJ
ejpam-5845	160	29	situations	situation	NOUN
ejpam-5845	160	30	.	.	PUNCT
ejpam-5845	161	1	by	by	ADP
ejpam-5845	161	2	enabling	enable	VERB
ejpam-5845	161	3	a	a	DET
ejpam-5845	161	4	more	more	ADV
ejpam-5845	161	5	nuanced	nuanced	ADJ
ejpam-5845	161	6	examination	examination	NOUN
ejpam-5845	161	7	of	of	ADP
ejpam-5845	161	8	values	value	NOUN
ejpam-5845	161	9	that	that	PRON
ejpam-5845	161	10	are	be	AUX
ejpam-5845	161	11	difficult	difficult	ADJ
ejpam-5845	161	12	to	to	PART
ejpam-5845	161	13	categorize	categorize	VERB
ejpam-5845	161	14	as	as	ADP
ejpam-5845	161	15	true	true	ADJ
ejpam-5845	161	16	or	or	CCONJ
ejpam-5845	161	17	untrue	untrue	ADJ
ejpam-5845	161	18	,	,	PUNCT
ejpam-5845	161	19	this	this	DET
ejpam-5845	161	20	innovative	innovative	ADJ
ejpam-5845	161	21	classification	classification	NOUN
ejpam-5845	161	22	enhances	enhance	NOUN
ejpam-5845	161	23	decisionmaking	decisionmake	VERB
ejpam-5845	161	24	.	.	PUNCT
ejpam-5845	162	1	absolute	absolute	ADJ
ejpam-5845	162	2	truth	truth	NOUN
ejpam-5845	162	3	,	,	PUNCT
ejpam-5845	162	4	relative	relative	ADJ
ejpam-5845	162	5	truth	truth	NOUN
ejpam-5845	162	6	,	,	PUNCT
ejpam-5845	162	7	relative	relative	ADJ
ejpam-5845	162	8	falsehood	falsehood	NOUN
ejpam-5845	162	9	,	,	PUNCT
ejpam-5845	162	10	and	and	CCONJ
ejpam-5845	162	11	absolute	absolute	ADJ
ejpam-5845	162	12	falsehood	falsehood	NOUN
ejpam-5845	162	13	are	be	AUX
ejpam-5845	162	14	the	the	DET
ejpam-5845	162	15	four	four	NUM
ejpam-5845	162	16	membership	membership	NOUN
ejpam-5845	162	17	traits	trait	NOUN
ejpam-5845	162	18	that	that	PRON
ejpam-5845	162	19	make	make	VERB
ejpam-5845	162	20	up	up	ADP
ejpam-5845	162	21	the	the	DET
ejpam-5845	162	22	qpnss	qpnss	NOUN
ejpam-5845	162	23	.	.	PUNCT
ejpam-5845	163	1	along	along	ADP
ejpam-5845	163	2	with	with	ADP
ejpam-5845	163	3	quadri	quadri	NOUN
ejpam-5845	163	4	-	-	PUNCT
ejpam-5845	163	5	partitioned	partition	VERB
ejpam-5845	163	6	soft	soft	ADJ
ejpam-5845	163	7	sets	set	NOUN
ejpam-5845	163	8	and	and	CCONJ
ejpam-5845	163	9	their	their	PRON
ejpam-5845	163	10	complements	complement	NOUN
ejpam-5845	163	11	,	,	PUNCT
ejpam-5845	163	12	the	the	DET
ejpam-5845	163	13	study	study	NOUN
ejpam-5845	163	14	defines	define	VERB
ejpam-5845	163	15	new	new	ADJ
ejpam-5845	163	16	operations	operation	NOUN
ejpam-5845	163	17	on	on	ADP
ejpam-5845	163	18	qpnss	qpnss	NOUN
ejpam-5845	163	19	,	,	PUNCT
ejpam-5845	163	20	such	such	ADJ
ejpam-5845	163	21	as	as	ADP
ejpam-5845	163	22	and	and	CCONJ
ejpam-5845	163	23	and	and	CCONJ
ejpam-5845	163	24	or	or	CCONJ
ejpam-5845	163	25	operations	operation	NOUN
ejpam-5845	163	26	.	.	PUNCT
ejpam-5845	164	1	moreover	moreover	ADV
ejpam-5845	164	2	,	,	PUNCT
ejpam-5845	164	3	eight	eight	NUM
ejpam-5845	164	4	new	new	ADJ
ejpam-5845	164	5	definitions	definition	NOUN
ejpam-5845	164	6	,	,	PUNCT
ejpam-5845	164	7	including	include	VERB
ejpam-5845	164	8	the	the	DET
ejpam-5845	164	9	semi	semi	ADJ
ejpam-5845	164	10	-	-	ADJ
ejpam-5845	164	11	open	open	ADJ
ejpam-5845	164	12	(	(	PUNCT
ejpam-5845	164	13	s	s	NOUN
ejpam-5845	164	14	-	-	ADJ
ejpam-5845	164	15	open	open	ADJ
ejpam-5845	164	16	)	)	PUNCT
ejpam-5845	164	17	set	set	NOUN
ejpam-5845	164	18	,	,	PUNCT
ejpam-5845	164	19	and	and	CCONJ
ejpam-5845	164	20	the	the	DET
ejpam-5845	164	21	development	development	NOUN
ejpam-5845	164	22	of	of	ADP
ejpam-5845	164	23	quadri	quadri	NOUN
ejpam-5845	164	24	-	-	PUNCT
ejpam-5845	164	25	partitioned	partition	VERB
ejpam-5845	164	26	neutrosophic	neutrosophic	ADJ
ejpam-5845	164	27	soft	soft	ADJ
ejpam-5845	164	28	topological	topological	ADJ
ejpam-5845	164	29	spaces	space	NOUN
ejpam-5845	164	30	(	(	PUNCT
ejpam-5845	164	31	qpnsts	qpnst	NOUN
ejpam-5845	164	32	)	)	PUNCT
ejpam-5845	164	33	improve	improve	VERB
ejpam-5845	164	34	our	our	PRON
ejpam-5845	164	35	knowledge	knowledge	NOUN
ejpam-5845	164	36	of	of	ADP
ejpam-5845	164	37	topological	topological	ADJ
ejpam-5845	164	38	features	feature	NOUN
ejpam-5845	164	39	.	.	PUNCT
ejpam-5845	165	1	crucially	crucially	ADV
ejpam-5845	165	2	,	,	PUNCT
ejpam-5845	165	3	the	the	DET
ejpam-5845	165	4	research	research	NOUN
ejpam-5845	165	5	investigates	investigate	VERB
ejpam-5845	165	6	compactness	compactness	NOUN
ejpam-5845	165	7	in	in	ADP
ejpam-5845	165	8	qpnss	qpnss	NOUN
ejpam-5845	165	9	,	,	PUNCT
ejpam-5845	165	10	introducing	introduce	VERB
ejpam-5845	165	11	ideas	idea	NOUN
ejpam-5845	165	12	such	such	ADJ
ejpam-5845	165	13	as	as	ADP
ejpam-5845	165	14	reducibility	reducibility	NOUN
ejpam-5845	165	15	to	to	PART
ejpam-5845	165	16	finite	finite	VERB
ejpam-5845	165	17	sub	sub	NOUN
ejpam-5845	165	18	-	-	NOUN
ejpam-5845	165	19	covers	cover	NOUN
ejpam-5845	165	20	and	and	CCONJ
ejpam-5845	165	21	establishing	establish	VERB
ejpam-5845	165	22	important	important	ADJ
ejpam-5845	165	23	theorems	theorem	NOUN
ejpam-5845	165	24	on	on	ADP
ejpam-5845	165	25	intersection	intersection	NOUN
ejpam-5845	165	26	qualities	quality	NOUN
ejpam-5845	165	27	and	and	CCONJ
ejpam-5845	165	28	compact	compact	ADJ
ejpam-5845	165	29	subset	subset	NOUN
ejpam-5845	165	30	separation	separation	NOUN
ejpam-5845	165	31	.	.	PUNCT
ejpam-5845	166	1	these	these	DET
ejpam-5845	166	2	results	result	NOUN
ejpam-5845	166	3	contribute	contribute	VERB
ejpam-5845	166	4	to	to	ADP
ejpam-5845	166	5	the	the	DET
ejpam-5845	166	6	theoretical	theoretical	ADJ
ejpam-5845	166	7	m.	m.	NOUN
ejpam-5845	166	8	m.	m.	PROPN
ejpam-5845	166	9	saeed	saeed	PROPN
ejpam-5845	166	10	et	et	PROPN
ejpam-5845	166	11	al	al	PROPN
ejpam-5845	166	12	.	.	PUNCT
ejpam-5845	166	13	/	/	SYM
ejpam-5845	166	14	eur	eur	PROPN
ejpam-5845	166	15	.	.	PUNCT
ejpam-5845	167	1	j.	j.	PROPN
ejpam-5845	167	2	pure	pure	PROPN
ejpam-5845	167	3	appl	appl	PROPN
ejpam-5845	167	4	.	.	PROPN
ejpam-5845	167	5	math	math	PROPN
ejpam-5845	167	6	,	,	PUNCT
ejpam-5845	167	7	18	18	NUM
ejpam-5845	167	8	(	(	PUNCT
ejpam-5845	167	9	2	2	NUM
ejpam-5845	167	10	)	)	PUNCT
ejpam-5845	167	11	(	(	PUNCT
ejpam-5845	167	12	2025	2025	NUM
ejpam-5845	167	13	)	)	PUNCT
ejpam-5845	167	14	,	,	PUNCT
ejpam-5845	167	15	5845	5845	NUM
ejpam-5845	167	16	5	5	NUM
ejpam-5845	167	17	of	of	ADP
ejpam-5845	167	18	32	32	NUM
ejpam-5845	167	19	foundation	foundation	NOUN
ejpam-5845	167	20	of	of	ADP
ejpam-5845	167	21	qpns	qpns	NOUN
ejpam-5845	167	22	spaces	space	NOUN
ejpam-5845	167	23	and	and	CCONJ
ejpam-5845	167	24	provide	provide	VERB
ejpam-5845	167	25	important	important	ADJ
ejpam-5845	167	26	information	information	NOUN
ejpam-5845	167	27	about	about	ADP
ejpam-5845	167	28	the	the	DET
ejpam-5845	167	29	compactness	compactness	NOUN
ejpam-5845	167	30	of	of	ADP
ejpam-5845	167	31	soft	soft	ADJ
ejpam-5845	167	32	topological	topological	ADJ
ejpam-5845	167	33	spaces	space	NOUN
ejpam-5845	167	34	.	.	PUNCT
ejpam-5845	168	1	all	all	DET
ejpam-5845	168	2	things	thing	NOUN
ejpam-5845	168	3	considered	consider	VERB
ejpam-5845	168	4	,	,	PUNCT
ejpam-5845	168	5	this	this	DET
ejpam-5845	168	6	work	work	NOUN
ejpam-5845	168	7	opens	open	VERB
ejpam-5845	168	8	the	the	DET
ejpam-5845	168	9	door	door	NOUN
ejpam-5845	168	10	for	for	ADP
ejpam-5845	168	11	further	further	ADJ
ejpam-5845	168	12	study	study	NOUN
ejpam-5845	168	13	and	and	CCONJ
ejpam-5845	168	14	applications	application	NOUN
ejpam-5845	168	15	by	by	ADP
ejpam-5845	168	16	expanding	expand	VERB
ejpam-5845	168	17	our	our	PRON
ejpam-5845	168	18	knowledge	knowledge	NOUN
ejpam-5845	168	19	of	of	ADP
ejpam-5845	168	20	neutrosophic	neutrosophic	ADJ
ejpam-5845	168	21	set	set	NOUN
ejpam-5845	168	22	theory	theory	NOUN
ejpam-5845	168	23	and	and	CCONJ
ejpam-5845	168	24	offering	offer	VERB
ejpam-5845	168	25	useful	useful	ADJ
ejpam-5845	168	26	instruments	instrument	NOUN
ejpam-5845	168	27	for	for	ADP
ejpam-5845	168	28	handling	handle	VERB
ejpam-5845	168	29	ambiguity	ambiguity	NOUN
ejpam-5845	168	30	.	.	PUNCT
ejpam-5845	169	1	the	the	DET
ejpam-5845	169	2	organization	organization	NOUN
ejpam-5845	169	3	of	of	ADP
ejpam-5845	169	4	this	this	DET
ejpam-5845	169	5	paper	paper	NOUN
ejpam-5845	169	6	is	be	AUX
ejpam-5845	169	7	structured	structure	VERB
ejpam-5845	169	8	as	as	SCONJ
ejpam-5845	169	9	follows	follow	VERB
ejpam-5845	169	10	.	.	PUNCT
ejpam-5845	170	1	we	we	PRON
ejpam-5845	170	2	outline	outline	VERB
ejpam-5845	170	3	basic	basic	ADJ
ejpam-5845	170	4	ideas	idea	NOUN
ejpam-5845	170	5	and	and	CCONJ
ejpam-5845	170	6	findings	finding	NOUN
ejpam-5845	170	7	in	in	ADP
ejpam-5845	170	8	section	section	NOUN
ejpam-5845	170	9	2	2	NUM
ejpam-5845	170	10	.	.	PUNCT
ejpam-5845	170	11	a	a	DET
ejpam-5845	170	12	new	new	ADJ
ejpam-5845	170	13	method	method	NOUN
ejpam-5845	170	14	for	for	ADP
ejpam-5845	170	15	operations	operation	NOUN
ejpam-5845	170	16	on	on	ADP
ejpam-5845	170	17	quadri	quadri	NOUN
ejpam-5845	170	18	-	-	PUNCT
ejpam-5845	170	19	partitioned	partition	VERB
ejpam-5845	170	20	neutrosophic	neutrosophic	ADJ
ejpam-5845	170	21	soft	soft	ADJ
ejpam-5845	170	22	sets	set	NOUN
ejpam-5845	170	23	is	be	AUX
ejpam-5845	170	24	examined	examine	VERB
ejpam-5845	170	25	in	in	ADP
ejpam-5845	170	26	section	section	NOUN
ejpam-5845	170	27	3	3	NUM
ejpam-5845	170	28	.	.	PUNCT
ejpam-5845	171	1	a	a	DET
ejpam-5845	171	2	new	new	ADJ
ejpam-5845	171	3	viewpoint	viewpoint	NOUN
ejpam-5845	171	4	on	on	ADP
ejpam-5845	171	5	heptapartitioned	heptapartitioned	ADJ
ejpam-5845	171	6	neutrosophic	neutrosophic	ADJ
ejpam-5845	171	7	soft	soft	ADJ
ejpam-5845	171	8	topological	topological	ADJ
ejpam-5845	171	9	spaces	space	NOUN
ejpam-5845	171	10	is	be	AUX
ejpam-5845	171	11	presented	present	VERB
ejpam-5845	171	12	in	in	ADP
ejpam-5845	171	13	section	section	NOUN
ejpam-5845	171	14	4	4	NUM
ejpam-5845	171	15	.	.	PUNCT
ejpam-5845	171	16	results	result	NOUN
ejpam-5845	171	17	on	on	ADP
ejpam-5845	171	18	compactness	compactness	NOUN
ejpam-5845	171	19	in	in	ADP
ejpam-5845	171	20	quadri	quadri	NOUN
ejpam-5845	171	21	-	-	PUNCT
ejpam-5845	171	22	partitioned	partition	VERB
ejpam-5845	171	23	neutrosophic	neutrosophic	ADJ
ejpam-5845	171	24	soft	soft	ADJ
ejpam-5845	171	25	topological	topological	ADJ
ejpam-5845	171	26	spaces	space	NOUN
ejpam-5845	171	27	are	be	AUX
ejpam-5845	171	28	presented	present	VERB
ejpam-5845	171	29	in	in	ADP
ejpam-5845	171	30	section	section	NOUN
ejpam-5845	171	31	5	5	NUM
ejpam-5845	171	32	.	.	PUNCT
ejpam-5845	171	33	comparative	comparative	ADJ
ejpam-5845	171	34	analysis	analysis	NOUN
ejpam-5845	171	35	is	be	AUX
ejpam-5845	171	36	discussed	discuss	VERB
ejpam-5845	171	37	in	in	ADP
ejpam-5845	171	38	section	section	NOUN
ejpam-5845	171	39	6	6	NUM
ejpam-5845	171	40	.	.	PUNCT
ejpam-5845	172	1	applications	application	NOUN
ejpam-5845	172	2	are	be	AUX
ejpam-5845	172	3	given	give	VERB
ejpam-5845	172	4	in	in	ADP
ejpam-5845	172	5	section	section	NOUN
ejpam-5845	172	6	7	7	NUM
ejpam-5845	172	7	.	.	PUNCT
ejpam-5845	172	8	conclusion	conclusion	NOUN
ejpam-5845	172	9	and	and	CCONJ
ejpam-5845	172	10	future	future	ADJ
ejpam-5845	172	11	work	work	NOUN
ejpam-5845	172	12	is	be	AUX
ejpam-5845	172	13	given	give	VERB
ejpam-5845	172	14	in	in	ADP
ejpam-5845	172	15	section	section	NOUN
ejpam-5845	172	16	8	8	NUM
ejpam-5845	172	17	.	.	NOUN
ejpam-5845	173	1	2	2	NUM
ejpam-5845	173	2	.	.	X
ejpam-5845	173	3	preliminaries	preliminary	NOUN
ejpam-5845	173	4	this	this	DET
ejpam-5845	173	5	section	section	NOUN
ejpam-5845	173	6	covers	cover	VERB
ejpam-5845	173	7	foundational	foundational	ADJ
ejpam-5845	173	8	ideas	idea	NOUN
ejpam-5845	173	9	that	that	PRON
ejpam-5845	173	10	are	be	AUX
ejpam-5845	173	11	required	require	VERB
ejpam-5845	173	12	for	for	ADP
ejpam-5845	173	13	the	the	DET
ejpam-5845	173	14	upcoming	upcoming	ADJ
ejpam-5845	173	15	research	research	NOUN
ejpam-5845	173	16	.	.	PUNCT
ejpam-5845	174	1	firstly	firstly	ADV
ejpam-5845	174	2	,	,	PUNCT
ejpam-5845	174	3	neutrosophic	neutrosophic	ADJ
ejpam-5845	174	4	soft	soft	ADJ
ejpam-5845	174	5	set	set	NOUN
ejpam-5845	174	6	defined	define	VERB
ejpam-5845	174	7	by	by	ADP
ejpam-5845	174	8	maji	maji	PROPN
ejpam-5845	175	1	[	[	X
ejpam-5845	175	2	48	48	NUM
ejpam-5845	175	3	]	]	PUNCT
ejpam-5845	175	4	and	and	CCONJ
ejpam-5845	175	5	later	later	ADV
ejpam-5845	175	6	this	this	DET
ejpam-5845	175	7	concept	concept	NOUN
ejpam-5845	175	8	has	have	AUX
ejpam-5845	175	9	been	be	AUX
ejpam-5845	175	10	modified	modify	VERB
ejpam-5845	175	11	by	by	ADP
ejpam-5845	175	12	deli	deli	NOUN
ejpam-5845	175	13	and	and	CCONJ
ejpam-5845	175	14	bromi	bromi	NOUN
ejpam-5845	176	1	[	[	X
ejpam-5845	176	2	49	49	NUM
ejpam-5845	176	3	]	]	PUNCT
ejpam-5845	176	4	as	as	SCONJ
ejpam-5845	176	5	given	give	VERB
ejpam-5845	176	6	below	below	ADV
ejpam-5845	176	7	:	:	PUNCT
ejpam-5845	176	8	definition	definition	NOUN
ejpam-5845	176	9	1	1	NUM
ejpam-5845	176	10	.	.	PUNCT
ejpam-5845	177	1	let	let	VERB
ejpam-5845	177	2	e	e	PRON
ejpam-5845	177	3	be	be	AUX
ejpam-5845	177	4	a	a	DET
ejpam-5845	177	5	set	set	NOUN
ejpam-5845	177	6	of	of	ADP
ejpam-5845	177	7	parameters	parameter	NOUN
ejpam-5845	177	8	and	and	CCONJ
ejpam-5845	177	9	m	m	AUX
ejpam-5845	177	10	be	be	AUX
ejpam-5845	177	11	an	an	DET
ejpam-5845	177	12	initial	initial	ADJ
ejpam-5845	177	13	universe	universe	NOUN
ejpam-5845	177	14	set	set	NOUN
ejpam-5845	177	15	.	.	PUNCT
ejpam-5845	178	1	p	p	X
ejpam-5845	178	2	(	(	PUNCT
ejpam-5845	178	3	m	m	NOUN
ejpam-5845	178	4	)	)	PUNCT
ejpam-5845	178	5	represents	represent	VERB
ejpam-5845	178	6	the	the	DET
ejpam-5845	178	7	collection	collection	NOUN
ejpam-5845	178	8	of	of	ADP
ejpam-5845	178	9	all	all	DET
ejpam-5845	178	10	neutrosophic	neutrosophic	ADJ
ejpam-5845	178	11	soft	soft	ADJ
ejpam-5845	178	12	sets	set	NOUN
ejpam-5845	178	13	for	for	ADP
ejpam-5845	178	14	m.	m.	NOUN
ejpam-5845	178	15	a	a	DET
ejpam-5845	178	16	set	set	NOUN
ejpam-5845	178	17	defined	define	VERB
ejpam-5845	178	18	by	by	ADP
ejpam-5845	178	19	a	a	DET
ejpam-5845	178	20	set	set	NOUN
ejpam-5845	178	21	-	-	PUNCT
ejpam-5845	178	22	valued	value	VERB
ejpam-5845	178	23	function	function	NOUN
ejpam-5845	178	24	υ̃	υ̃	PROPN
ejpam-5845	178	25	expressing	express	VERB
ejpam-5845	178	26	a	a	DET
ejpam-5845	178	27	mapping	mapping	NOUN
ejpam-5845	178	28	υ̃	υ̃	NOUN
ejpam-5845	178	29	:	:	PUNCT
ejpam-5845	178	30	é	é	PROPN
ejpam-5845	178	31	→	→	SYM
ejpam-5845	178	32	p	p	X
ejpam-5845	178	33	(	(	PUNCT
ejpam-5845	178	34	m	m	NOUN
ejpam-5845	178	35	)	)	PUNCT
ejpam-5845	178	36	is	be	AUX
ejpam-5845	178	37	then	then	ADV
ejpam-5845	178	38	a	a	DET
ejpam-5845	178	39	neutrosophic	neutrosophic	ADJ
ejpam-5845	178	40	soft	soft	ADJ
ejpam-5845	178	41	set	set	NOUN
ejpam-5845	178	42	(	(	PUNCT
ejpam-5845	178	43	υ̃	υ̃	PROPN
ejpam-5845	178	44	,	,	PUNCT
ejpam-5845	178	45	é	é	PROPN
ejpam-5845	178	46	)	)	PUNCT
ejpam-5845	178	47	over	over	ADP
ejpam-5845	178	48	m	m	PROPN
ejpam-5845	178	49	,	,	PUNCT
ejpam-5845	178	50	where	where	SCONJ
ejpam-5845	178	51	υ̃	υ̃	PROPN
ejpam-5845	178	52	is	be	AUX
ejpam-5845	178	53	referred	refer	VERB
ejpam-5845	178	54	to	to	ADP
ejpam-5845	178	55	as	as	ADP
ejpam-5845	178	56	the	the	DET
ejpam-5845	178	57	approximate	approximate	ADJ
ejpam-5845	178	58	function	function	NOUN
ejpam-5845	178	59	of	of	ADP
ejpam-5845	178	60	the	the	DET
ejpam-5845	178	61	nss	nss	NOUN
ejpam-5845	178	62	(	(	PUNCT
ejpam-5845	178	63	υ̃	υ̃	PROPN
ejpam-5845	178	64	,	,	PUNCT
ejpam-5845	178	65	é	é	PROPN
ejpam-5845	178	66	)	)	PUNCT
ejpam-5845	178	67	.	.	PUNCT
ejpam-5845	179	1	stated	state	VERB
ejpam-5845	179	2	differently	differently	ADV
ejpam-5845	179	3	,	,	PUNCT
ejpam-5845	179	4	the	the	DET
ejpam-5845	179	5	neutrosophic	neutrosophic	ADJ
ejpam-5845	179	6	soft	soft	ADJ
ejpam-5845	179	7	set	set	NOUN
ejpam-5845	179	8	can	can	AUX
ejpam-5845	179	9	be	be	AUX
ejpam-5845	179	10	expressed	express	VERB
ejpam-5845	179	11	as	as	ADP
ejpam-5845	179	12	a	a	DET
ejpam-5845	179	13	collection	collection	NOUN
ejpam-5845	179	14	of	of	ADP
ejpam-5845	179	15	ordered	order	VERB
ejpam-5845	179	16	pairs	pair	NOUN
ejpam-5845	179	17	:	:	PUNCT
ejpam-5845	179	18	(	(	PUNCT
ejpam-5845	179	19	υ̃	υ̃	PROPN
ejpam-5845	179	20	,	,	PUNCT
ejpam-5845	179	21	é	é	PROPN
ejpam-5845	179	22	)	)	PUNCT
ejpam-5845	179	23	=	=	PRON
ejpam-5845	179	24	{	{	PUNCT
ejpam-5845	179	25	(	(	PUNCT
ejpam-5845	179	26	e	e	NOUN
ejpam-5845	179	27	,	,	PUNCT
ejpam-5845	179	28	⟨s	⟨s	NOUN
ejpam-5845	179	29	,	,	PUNCT
ejpam-5845	179	30	tυ̃(e)(s	tυ̃(e)(s	NOUN
ejpam-5845	179	31	)	)	PUNCT
ejpam-5845	179	32	,	,	PUNCT
ejpam-5845	179	33	iυ̃(e)(s	iυ̃(e)(s	NOUN
ejpam-5845	179	34	)	)	PUNCT
ejpam-5845	179	35	,	,	PUNCT
ejpam-5845	179	36	fυ̃(e)(s)⟩	fυ̃(e)(s)⟩	NOUN
ejpam-5845	179	37	)	)	PUNCT
ejpam-5845	179	38	:	:	PUNCT
ejpam-5845	180	1	s	s	VERB
ejpam-5845	180	2	∈	∈	PROPN
ejpam-5845	180	3	m	m	PRON
ejpam-5845	180	4	,	,	PUNCT
ejpam-5845	180	5	e	e	PROPN
ejpam-5845	180	6	∈	∈	PROPN
ejpam-5845	180	7	é	é	PROPN
ejpam-5845	180	8	}	}	PUNCT
ejpam-5845	180	9	.	.	PUNCT
ejpam-5845	181	1	here	here	ADV
ejpam-5845	181	2	,	,	PUNCT
ejpam-5845	181	3	tυ̃(e)(s	tυ̃(e)(s	NOUN
ejpam-5845	181	4	)	)	PUNCT
ejpam-5845	181	5	,	,	PUNCT
ejpam-5845	181	6	iυ̃(e)(s	iυ̃(e)(s	NOUN
ejpam-5845	181	7	)	)	PUNCT
ejpam-5845	181	8	,	,	PUNCT
ejpam-5845	181	9	and	and	CCONJ
ejpam-5845	181	10	fυ̃(e)(s	fυ̃(e)(s	NOUN
ejpam-5845	181	11	)	)	PUNCT
ejpam-5845	181	12	are	be	AUX
ejpam-5845	181	13	the	the	DET
ejpam-5845	181	14	truth	truth	NOUN
ejpam-5845	181	15	-	-	PUNCT
ejpam-5845	181	16	membership	membership	NOUN
ejpam-5845	181	17	,	,	PUNCT
ejpam-5845	181	18	indeterminacy	indeterminacy	NOUN
ejpam-5845	181	19	-	-	PUNCT
ejpam-5845	181	20	membership	membership	NOUN
ejpam-5845	181	21	,	,	PUNCT
ejpam-5845	181	22	and	and	CCONJ
ejpam-5845	181	23	falsity	falsity	NOUN
ejpam-5845	181	24	-	-	PUNCT
ejpam-5845	181	25	membership	membership	NOUN
ejpam-5845	181	26	functions	function	NOUN
ejpam-5845	181	27	of	of	ADP
ejpam-5845	181	28	υ̃(e	υ̃(e	PROPN
ejpam-5845	181	29	)	)	PUNCT
ejpam-5845	181	30	,	,	PUNCT
ejpam-5845	181	31	respectively	respectively	ADV
ejpam-5845	181	32	,	,	PUNCT
ejpam-5845	181	33	and	and	CCONJ
ejpam-5845	181	34	they	they	PRON
ejpam-5845	181	35	all	all	PRON
ejpam-5845	181	36	lie	lie	VERB
ejpam-5845	181	37	within	within	ADP
ejpam-5845	181	38	the	the	DET
ejpam-5845	181	39	interval	interval	NOUN
ejpam-5845	181	40	[	[	X
ejpam-5845	181	41	0	0	NUM
ejpam-5845	181	42	,	,	PUNCT
ejpam-5845	181	43	1	1	NUM
ejpam-5845	181	44	]	]	PUNCT
ejpam-5845	181	45	.	.	PUNCT
ejpam-5845	182	1	the	the	DET
ejpam-5845	182	2	inequality	inequality	NOUN
ejpam-5845	182	3	0	0	NUM
ejpam-5845	182	4	≤	≤	NUM
ejpam-5845	182	5	tυ̃(e)(s	tυ̃(e)(s	NOUN
ejpam-5845	182	6	)	)	PUNCT
ejpam-5845	182	7	+	+	NUM
ejpam-5845	182	8	iυ̃(e)(s	iυ̃(e)(s	NOUN
ejpam-5845	182	9	)	)	PUNCT
ejpam-5845	182	10	+	+	CCONJ
ejpam-5845	182	11	fυ̃(e)(s	fυ̃(e)(s	NOUN
ejpam-5845	182	12	)	)	PUNCT
ejpam-5845	182	13	≤	≤	NUM
ejpam-5845	182	14	3	3	NUM
ejpam-5845	182	15	is	be	AUX
ejpam-5845	182	16	evident	evident	ADJ
ejpam-5845	182	17	as	as	ADP
ejpam-5845	182	18	the	the	DET
ejpam-5845	182	19	supremum	supremum	NOUN
ejpam-5845	182	20	of	of	ADP
ejpam-5845	182	21	each	each	DET
ejpam-5845	182	22	t	t	NOUN
ejpam-5845	182	23	,	,	PUNCT
ejpam-5845	182	24	i	i	PRON
ejpam-5845	182	25	,	,	PUNCT
ejpam-5845	182	26	and	and	CCONJ
ejpam-5845	182	27	f	f	PROPN
ejpam-5845	182	28	is	be	AUX
ejpam-5845	182	29	1	1	NUM
ejpam-5845	182	30	and	and	CCONJ
ejpam-5845	182	31	the	the	DET
ejpam-5845	182	32	infimum	infimum	NOUN
ejpam-5845	182	33	is	be	AUX
ejpam-5845	182	34	0	0	NUM
ejpam-5845	182	35	.	.	PUNCT
ejpam-5845	183	1	this	this	PRON
ejpam-5845	183	2	means	mean	VERB
ejpam-5845	183	3	that	that	SCONJ
ejpam-5845	183	4	each	each	DET
ejpam-5845	183	5	value	value	NOUN
ejpam-5845	183	6	is	be	AUX
ejpam-5845	183	7	a	a	DET
ejpam-5845	183	8	typical	typical	ADJ
ejpam-5845	183	9	value	value	NOUN
ejpam-5845	183	10	between	between	ADP
ejpam-5845	183	11	0	0	NUM
ejpam-5845	183	12	and	and	CCONJ
ejpam-5845	183	13	1	1	NUM
ejpam-5845	183	14	.	.	X
ejpam-5845	183	15	definition	definition	NOUN
ejpam-5845	183	16	2	2	NUM
ejpam-5845	183	17	.	.	PUNCT
ejpam-5845	184	1	[	[	X
ejpam-5845	184	2	9	9	NUM
ejpam-5845	184	3	]	]	X
ejpam-5845	184	4	let	let	NOUN
ejpam-5845	184	5	(	(	PUNCT
ejpam-5845	184	6	υ̃	υ̃	PROPN
ejpam-5845	184	7	,	,	PUNCT
ejpam-5845	184	8	é	é	PROPN
ejpam-5845	184	9	)	)	PUNCT
ejpam-5845	184	10	be	be	VERB
ejpam-5845	184	11	a	a	DET
ejpam-5845	184	12	neutrosophic	neutrosophic	ADJ
ejpam-5845	184	13	soft	soft	ADJ
ejpam-5845	184	14	set	set	NOUN
ejpam-5845	184	15	.	.	PUNCT
ejpam-5845	185	1	then	then	ADV
ejpam-5845	185	2	(	(	PUNCT
ejpam-5845	185	3	υ̃	υ̃	PROPN
ejpam-5845	185	4	,	,	PUNCT
ejpam-5845	185	5	é)c	é)c	X
ejpam-5845	185	6	is	be	AUX
ejpam-5845	185	7	the	the	DET
ejpam-5845	185	8	complement	complement	NOUN
ejpam-5845	185	9	of	of	ADP
ejpam-5845	185	10	(	(	PUNCT
ejpam-5845	185	11	υ̃	υ̃	PROPN
ejpam-5845	185	12	,	,	PUNCT
ejpam-5845	185	13	é	é	PROPN
ejpam-5845	185	14	):	):	PUNCT
ejpam-5845	185	15	(	(	PUNCT
ejpam-5845	185	16	υ̃	υ̃	PROPN
ejpam-5845	185	17	,	,	PUNCT
ejpam-5845	185	18	é)c	é)c	AUX
ejpam-5845	185	19	=	=	PUNCT
ejpam-5845	185	20	{	{	PUNCT
ejpam-5845	185	21	(	(	PUNCT
ejpam-5845	185	22	e	e	NOUN
ejpam-5845	185	23	,	,	PUNCT
ejpam-5845	185	24	⟨s	⟨s	NOUN
ejpam-5845	185	25	,	,	PUNCT
ejpam-5845	185	26	fυ̃(e)(s	fυ̃(e)(s	NOUN
ejpam-5845	185	27	)	)	PUNCT
ejpam-5845	185	28	,	,	PUNCT
ejpam-5845	185	29	1−	1−	NUM
ejpam-5845	185	30	iυ̃(e)(s	iυ̃(e)(s	NOUN
ejpam-5845	185	31	)	)	PUNCT
ejpam-5845	185	32	,	,	PUNCT
ejpam-5845	185	33	tυ̃(e)(s)⟩	tυ̃(e)(s)⟩	NOUN
ejpam-5845	185	34	)	)	PUNCT
ejpam-5845	185	35	:	:	PUNCT
ejpam-5845	185	36	s	s	VERB
ejpam-5845	185	37	∈	∈	PROPN
ejpam-5845	185	38	m	m	PRON
ejpam-5845	185	39	,	,	PUNCT
ejpam-5845	185	40	e	e	PROPN
ejpam-5845	185	41	∈	∈	PROPN
ejpam-5845	185	42	é	é	PROPN
ejpam-5845	185	43	}	}	PUNCT
ejpam-5845	185	44	.	.	PUNCT
ejpam-5845	186	1	it	it	PRON
ejpam-5845	186	2	is	be	AUX
ejpam-5845	186	3	obvious	obvious	ADJ
ejpam-5845	186	4	that	that	SCONJ
ejpam-5845	186	5	:	:	PUNCT
ejpam-5845	186	6	(	(	PUNCT
ejpam-5845	186	7	(	(	PUNCT
ejpam-5845	186	8	υ̃	υ̃	PROPN
ejpam-5845	186	9	,	,	PUNCT
ejpam-5845	186	10	é)c	é)c	NOUN
ejpam-5845	186	11	)	)	PUNCT
ejpam-5845	186	12	c	c	NOUN
ejpam-5845	186	13	=	=	SYM
ejpam-5845	186	14	(	(	PUNCT
ejpam-5845	186	15	υ̃	υ̃	PROPN
ejpam-5845	186	16	,	,	PUNCT
ejpam-5845	186	17	é	é	PROPN
ejpam-5845	186	18	)	)	PUNCT
ejpam-5845	186	19	.	.	PUNCT
ejpam-5845	187	1	definition	definition	NOUN
ejpam-5845	187	2	3	3	NUM
ejpam-5845	187	3	.	.	PUNCT
ejpam-5845	188	1	[	[	X
ejpam-5845	188	2	10	10	NUM
ejpam-5845	188	3	]	]	X
ejpam-5845	188	4	let	let	NOUN
ejpam-5845	188	5	(	(	PUNCT
ejpam-5845	188	6	υ̃	υ̃	PROPN
ejpam-5845	188	7	,	,	PUNCT
ejpam-5845	188	8	é	é	PROPN
ejpam-5845	188	9	)	)	PUNCT
ejpam-5845	188	10	and	and	CCONJ
ejpam-5845	188	11	(	(	PUNCT
ejpam-5845	188	12	λ̃	λ̃	PROPN
ejpam-5845	188	13	,	,	PUNCT
ejpam-5845	188	14	e	e	X
ejpam-5845	188	15	)	)	PUNCT
ejpam-5845	188	16	be	be	VERB
ejpam-5845	188	17	two	two	NUM
ejpam-5845	188	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	188	19	soft	soft	ADJ
ejpam-5845	188	20	sets	set	NOUN
ejpam-5845	188	21	.	.	PUNCT
ejpam-5845	189	1	then	then	ADV
ejpam-5845	189	2	(	(	PUNCT
ejpam-5845	189	3	υ̃	υ̃	PROPN
ejpam-5845	189	4	,	,	PUNCT
ejpam-5845	189	5	é	é	PROPN
ejpam-5845	189	6	)	)	PUNCT
ejpam-5845	189	7	is	be	AUX
ejpam-5845	189	8	said	say	VERB
ejpam-5845	189	9	to	to	PART
ejpam-5845	189	10	be	be	AUX
ejpam-5845	189	11	a	a	DET
ejpam-5845	189	12	neutrosophic	neutrosophic	ADJ
ejpam-5845	189	13	soft	soft	ADJ
ejpam-5845	189	14	subset	subset	NOUN
ejpam-5845	189	15	of	of	ADP
ejpam-5845	189	16	(	(	PUNCT
ejpam-5845	189	17	λ̃	λ̃	PROPN
ejpam-5845	189	18	,	,	PUNCT
ejpam-5845	189	19	e	e	NOUN
ejpam-5845	189	20	)	)	PUNCT
ejpam-5845	189	21	if	if	SCONJ
ejpam-5845	189	22	:	:	PUNCT
ejpam-5845	189	23	tυ̃(e)(s	tυ̃(e)(s	NOUN
ejpam-5845	189	24	)	)	PUNCT
ejpam-5845	189	25	≤	≤	NUM
ejpam-5845	189	26	tλ̃(e)(s	tλ̃(e)(s	NOUN
ejpam-5845	189	27	)	)	PUNCT
ejpam-5845	189	28	,	,	PUNCT
ejpam-5845	189	29	iυ̃(e)(s	iυ̃(e)(s	NOUN
ejpam-5845	189	30	)	)	PUNCT
ejpam-5845	189	31	≤	≤	NUM
ejpam-5845	189	32	iλ̃(e)(s	iλ̃(e)(s	NOUN
ejpam-5845	189	33	)	)	PUNCT
ejpam-5845	189	34	,	,	PUNCT
ejpam-5845	189	35	fυ̃(e)(s	fυ̃(e)(s	NOUN
ejpam-5845	189	36	)	)	PUNCT
ejpam-5845	189	37	≥	≥	NOUN
ejpam-5845	189	38	fλ̃(e)(s	fλ̃(e)(s	NOUN
ejpam-5845	189	39	)	)	PUNCT
ejpam-5845	189	40	,	,	PUNCT
ejpam-5845	189	41	∀e	∀e	PROPN
ejpam-5845	189	42	∈	∈	PROPN
ejpam-5845	189	43	é,∀s	é,∀s	PROPN
ejpam-5845	189	44	∈	∈	PROPN
ejpam-5845	189	45	m.	m.	NOUN
ejpam-5845	189	46	it	it	PRON
ejpam-5845	189	47	is	be	AUX
ejpam-5845	189	48	denoted	denote	VERB
ejpam-5845	189	49	by	by	ADP
ejpam-5845	189	50	:	:	PUNCT
ejpam-5845	189	51	(	(	PUNCT
ejpam-5845	189	52	υ̃	υ̃	PROPN
ejpam-5845	189	53	,	,	PUNCT
ejpam-5845	189	54	é	é	PROPN
ejpam-5845	189	55	)	)	PUNCT
ejpam-5845	189	56	⊆	⊆	NUM
ejpam-5845	189	57	(	(	PUNCT
ejpam-5845	189	58	λ̃	λ̃	PROPN
ejpam-5845	189	59	,	,	PUNCT
ejpam-5845	189	60	e	e	NOUN
ejpam-5845	189	61	)	)	PUNCT
ejpam-5845	189	62	.	.	PUNCT
ejpam-5845	190	1	definition	definition	NOUN
ejpam-5845	190	2	4	4	NUM
ejpam-5845	190	3	.	.	PUNCT
ejpam-5845	191	1	[	[	X
ejpam-5845	191	2	10	10	NUM
ejpam-5845	191	3	]	]	X
ejpam-5845	191	4	let	let	NOUN
ejpam-5845	191	5	(	(	PUNCT
ejpam-5845	191	6	υ̃1	υ̃1	NOUN
ejpam-5845	191	7	,	,	PUNCT
ejpam-5845	191	8	e	e	NOUN
ejpam-5845	191	9	)	)	PUNCT
ejpam-5845	191	10	and	and	CCONJ
ejpam-5845	191	11	(	(	PUNCT
ejpam-5845	191	12	υ̃2	υ̃2	PROPN
ejpam-5845	191	13	,	,	PUNCT
ejpam-5845	191	14	e	e	NOUN
ejpam-5845	191	15	)	)	PUNCT
ejpam-5845	191	16	be	be	VERB
ejpam-5845	191	17	two	two	NUM
ejpam-5845	191	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	191	19	soft	soft	ADJ
ejpam-5845	191	20	sets	set	NOUN
ejpam-5845	191	21	.	.	PUNCT
ejpam-5845	192	1	then	then	ADV
ejpam-5845	192	2	their	their	PRON
ejpam-5845	192	3	union	union	NOUN
ejpam-5845	192	4	is	be	AUX
ejpam-5845	192	5	represented	represent	VERB
ejpam-5845	192	6	by	by	ADP
ejpam-5845	192	7	(	(	PUNCT
ejpam-5845	192	8	υ̃1	υ̃1	NOUN
ejpam-5845	192	9	,	,	PUNCT
ejpam-5845	192	10	e	e	NOUN
ejpam-5845	192	11	)	)	PUNCT
ejpam-5845	192	12	⋓	⋓	NOUN
ejpam-5845	192	13	(	(	PUNCT
ejpam-5845	192	14	υ̃2	υ̃2	PROPN
ejpam-5845	192	15	,	,	PUNCT
ejpam-5845	192	16	e	e	NOUN
ejpam-5845	192	17	)	)	PUNCT
ejpam-5845	192	18	=	=	SYM
ejpam-5845	192	19	(	(	PUNCT
ejpam-5845	192	20	υ̃3	υ̃3	PROPN
ejpam-5845	192	21	,	,	PUNCT
ejpam-5845	192	22	e	e	NOUN
ejpam-5845	192	23	)	)	PUNCT
ejpam-5845	192	24	as	as	ADP
ejpam-5845	192	25	:	:	PUNCT
ejpam-5845	192	26	(	(	PUNCT
ejpam-5845	192	27	υ̃3	υ̃3	INTJ
ejpam-5845	192	28	,	,	PUNCT
ejpam-5845	192	29	e	e	NOUN
ejpam-5845	192	30	)	)	PUNCT
ejpam-5845	192	31	=	=	SYM
ejpam-5845	192	32	{	{	PUNCT
ejpam-5845	192	33	(	(	PUNCT
ejpam-5845	192	34	e	e	NOUN
ejpam-5845	192	35	,	,	PUNCT
ejpam-5845	192	36	⟨s	⟨s	NOUN
ejpam-5845	192	37	,	,	PUNCT
ejpam-5845	192	38	tυ̃3(e	tυ̃3(e	NUM
ejpam-5845	192	39	)	)	PUNCT
ejpam-5845	192	40	(	(	PUNCT
ejpam-5845	192	41	s	s	NOUN
ejpam-5845	192	42	)	)	PUNCT
ejpam-5845	192	43	,	,	PUNCT
ejpam-5845	192	44	iυ̃3(e	iυ̃3(e	NOUN
ejpam-5845	192	45	)	)	PUNCT
ejpam-5845	192	46	(	(	PUNCT
ejpam-5845	192	47	s	s	NOUN
ejpam-5845	192	48	)	)	PUNCT
ejpam-5845	192	49	,	,	PUNCT
ejpam-5845	192	50	fυ̃3(e	fυ̃3(e	NOUN
ejpam-5845	192	51	)	)	PUNCT
ejpam-5845	192	52	(	(	PUNCT
ejpam-5845	192	53	s)⟩	s)⟩	NOUN
ejpam-5845	192	54	)	)	PUNCT
ejpam-5845	192	55	:	:	PUNCT
ejpam-5845	192	56	s	s	VERB
ejpam-5845	192	57	∈	∈	PROPN
ejpam-5845	192	58	m	m	PRON
ejpam-5845	192	59	,	,	PUNCT
ejpam-5845	192	60	e	e	PROPN
ejpam-5845	192	61	∈	∈	PROPN
ejpam-5845	192	62	é	é	PROPN
ejpam-5845	192	63	}	}	PUNCT
ejpam-5845	192	64	.	.	PUNCT
ejpam-5845	193	1	m.	m.	NOUN
ejpam-5845	193	2	m.	m.	PROPN
ejpam-5845	193	3	saeed	saeed	PROPN
ejpam-5845	193	4	et	et	PROPN
ejpam-5845	193	5	al	al	PROPN
ejpam-5845	193	6	.	.	PUNCT
ejpam-5845	193	7	/	/	SYM
ejpam-5845	193	8	eur	eur	PROPN
ejpam-5845	193	9	.	.	PUNCT
ejpam-5845	194	1	j.	j.	PROPN
ejpam-5845	194	2	pure	pure	PROPN
ejpam-5845	194	3	appl	appl	PROPN
ejpam-5845	194	4	.	.	PROPN
ejpam-5845	194	5	math	math	PROPN
ejpam-5845	194	6	,	,	PUNCT
ejpam-5845	194	7	18	18	NUM
ejpam-5845	194	8	(	(	PUNCT
ejpam-5845	194	9	2	2	NUM
ejpam-5845	194	10	)	)	PUNCT
ejpam-5845	194	11	(	(	PUNCT
ejpam-5845	194	12	2025	2025	NUM
ejpam-5845	194	13	)	)	PUNCT
ejpam-5845	194	14	,	,	PUNCT
ejpam-5845	194	15	5845	5845	NUM
ejpam-5845	194	16	6	6	NUM
ejpam-5845	194	17	of	of	ADP
ejpam-5845	194	18	32	32	NUM
ejpam-5845	194	19	where	where	SCONJ
ejpam-5845	194	20	:	:	PUNCT
ejpam-5845	194	21	tυ̃3(e	tυ̃3(e	NUM
ejpam-5845	194	22	)	)	PUNCT
ejpam-5845	194	23	(	(	PUNCT
ejpam-5845	194	24	s	s	X
ejpam-5845	194	25	)	)	PUNCT
ejpam-5845	194	26	=	=	SYM
ejpam-5845	194	27	max{tυ̃1(e	max{tυ̃1(e	PROPN
ejpam-5845	194	28	)	)	PUNCT
ejpam-5845	194	29	(	(	PUNCT
ejpam-5845	194	30	s	s	NOUN
ejpam-5845	194	31	)	)	PUNCT
ejpam-5845	194	32	,	,	PUNCT
ejpam-5845	194	33	tυ̃2(e	tυ̃2(e	NOUN
ejpam-5845	194	34	)	)	PUNCT
ejpam-5845	194	35	(	(	PUNCT
ejpam-5845	194	36	s	s	NOUN
ejpam-5845	194	37	)	)	PUNCT
ejpam-5845	194	38	}	}	PUNCT
ejpam-5845	194	39	,	,	PUNCT
ejpam-5845	194	40	iυ̃3(e	iυ̃3(e	NOUN
ejpam-5845	194	41	)	)	PUNCT
ejpam-5845	194	42	(	(	PUNCT
ejpam-5845	194	43	s	s	X
ejpam-5845	194	44	)	)	PUNCT
ejpam-5845	194	45	=	=	SYM
ejpam-5845	194	46	max{iυ̃1(e	max{iυ̃1(e	X
ejpam-5845	194	47	)	)	PUNCT
ejpam-5845	194	48	(	(	PUNCT
ejpam-5845	194	49	s	s	NOUN
ejpam-5845	194	50	)	)	PUNCT
ejpam-5845	194	51	,	,	PUNCT
ejpam-5845	194	52	iυ̃2(e	iυ̃2(e	ADV
ejpam-5845	194	53	)	)	PUNCT
ejpam-5845	194	54	(	(	PUNCT
ejpam-5845	194	55	s	s	NOUN
ejpam-5845	194	56	)	)	PUNCT
ejpam-5845	194	57	}	}	PUNCT
ejpam-5845	194	58	,	,	PUNCT
ejpam-5845	194	59	fυ̃3(e	fυ̃3(e	NOUN
ejpam-5845	194	60	)	)	PUNCT
ejpam-5845	194	61	(	(	PUNCT
ejpam-5845	194	62	s	s	X
ejpam-5845	194	63	)	)	PUNCT
ejpam-5845	194	64	=	=	SYM
ejpam-5845	194	65	min{fυ̃1(e	min{fυ̃1(e	NOUN
ejpam-5845	194	66	)	)	PUNCT
ejpam-5845	194	67	(	(	PUNCT
ejpam-5845	194	68	s	s	NOUN
ejpam-5845	194	69	)	)	PUNCT
ejpam-5845	194	70	,	,	PUNCT
ejpam-5845	194	71	fυ̃2(e	fυ̃2(e	PROPN
ejpam-5845	194	72	)	)	PUNCT
ejpam-5845	194	73	(	(	PUNCT
ejpam-5845	194	74	s	s	NOUN
ejpam-5845	194	75	)	)	PUNCT
ejpam-5845	194	76	}	}	PUNCT
ejpam-5845	194	77	.	.	PUNCT
ejpam-5845	195	1	definition	definition	NOUN
ejpam-5845	195	2	5	5	NUM
ejpam-5845	195	3	.	.	PUNCT
ejpam-5845	196	1	[	[	X
ejpam-5845	196	2	10	10	NUM
ejpam-5845	196	3	]	]	X
ejpam-5845	196	4	let	let	NOUN
ejpam-5845	196	5	(	(	PUNCT
ejpam-5845	196	6	υ̃1	υ̃1	NOUN
ejpam-5845	196	7	,	,	PUNCT
ejpam-5845	196	8	e	e	NOUN
ejpam-5845	196	9	)	)	PUNCT
ejpam-5845	196	10	and	and	CCONJ
ejpam-5845	196	11	(	(	PUNCT
ejpam-5845	196	12	υ̃2	υ̃2	PROPN
ejpam-5845	196	13	,	,	PUNCT
ejpam-5845	196	14	e	e	NOUN
ejpam-5845	196	15	)	)	PUNCT
ejpam-5845	196	16	be	be	VERB
ejpam-5845	196	17	two	two	NUM
ejpam-5845	196	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	196	19	soft	soft	ADJ
ejpam-5845	196	20	sets	set	NOUN
ejpam-5845	196	21	.	.	PUNCT
ejpam-5845	197	1	then	then	ADV
ejpam-5845	197	2	their	their	PRON
ejpam-5845	197	3	intersection	intersection	NOUN
ejpam-5845	197	4	is	be	AUX
ejpam-5845	197	5	symbolized	symbolize	VERB
ejpam-5845	197	6	by	by	ADP
ejpam-5845	197	7	(	(	PUNCT
ejpam-5845	197	8	υ̃1	υ̃1	NOUN
ejpam-5845	197	9	,	,	PUNCT
ejpam-5845	197	10	e	e	NOUN
ejpam-5845	197	11	)	)	PUNCT
ejpam-5845	197	12	⋒	⋒	PUNCT
ejpam-5845	197	13	(	(	PUNCT
ejpam-5845	197	14	υ̃2	υ̃2	PROPN
ejpam-5845	197	15	,	,	PUNCT
ejpam-5845	197	16	e	e	NOUN
ejpam-5845	197	17	)	)	PUNCT
ejpam-5845	197	18	=	=	SYM
ejpam-5845	197	19	(	(	PUNCT
ejpam-5845	197	20	υ̃3	υ̃3	PROPN
ejpam-5845	197	21	,	,	PUNCT
ejpam-5845	197	22	e	e	NOUN
ejpam-5845	197	23	)	)	PUNCT
ejpam-5845	197	24	as	as	ADP
ejpam-5845	197	25	:	:	PUNCT
ejpam-5845	197	26	(	(	PUNCT
ejpam-5845	197	27	υ̃3	υ̃3	INTJ
ejpam-5845	197	28	,	,	PUNCT
ejpam-5845	197	29	e	e	NOUN
ejpam-5845	197	30	)	)	PUNCT
ejpam-5845	197	31	=	=	SYM
ejpam-5845	197	32	{	{	PUNCT
ejpam-5845	197	33	(	(	PUNCT
ejpam-5845	197	34	e	e	NOUN
ejpam-5845	197	35	,	,	PUNCT
ejpam-5845	197	36	⟨s	⟨s	NOUN
ejpam-5845	197	37	,	,	PUNCT
ejpam-5845	197	38	tυ̃3(e	tυ̃3(e	NUM
ejpam-5845	197	39	)	)	PUNCT
ejpam-5845	197	40	(	(	PUNCT
ejpam-5845	197	41	s	s	NOUN
ejpam-5845	197	42	)	)	PUNCT
ejpam-5845	197	43	,	,	PUNCT
ejpam-5845	197	44	iυ̃3(e	iυ̃3(e	NOUN
ejpam-5845	197	45	)	)	PUNCT
ejpam-5845	197	46	(	(	PUNCT
ejpam-5845	197	47	s	s	NOUN
ejpam-5845	197	48	)	)	PUNCT
ejpam-5845	197	49	,	,	PUNCT
ejpam-5845	197	50	fυ̃3(e	fυ̃3(e	NOUN
ejpam-5845	197	51	)	)	PUNCT
ejpam-5845	197	52	(	(	PUNCT
ejpam-5845	197	53	s)⟩	s)⟩	NOUN
ejpam-5845	197	54	)	)	PUNCT
ejpam-5845	197	55	:	:	PUNCT
ejpam-5845	197	56	s	s	VERB
ejpam-5845	197	57	∈	∈	PROPN
ejpam-5845	197	58	m	m	PRON
ejpam-5845	197	59	,	,	PUNCT
ejpam-5845	197	60	e	e	PROPN
ejpam-5845	197	61	∈	∈	PROPN
ejpam-5845	197	62	é	é	PROPN
ejpam-5845	197	63	}	}	PUNCT
ejpam-5845	197	64	.	.	PUNCT
ejpam-5845	198	1	where	where	SCONJ
ejpam-5845	198	2	:	:	PUNCT
ejpam-5845	198	3	tυ̃3(e	tυ̃3(e	NUM
ejpam-5845	198	4	)	)	PUNCT
ejpam-5845	198	5	(	(	PUNCT
ejpam-5845	198	6	s	s	X
ejpam-5845	198	7	)	)	PUNCT
ejpam-5845	198	8	=	=	PUNCT
ejpam-5845	198	9	min{tυ̃1(e	min{tυ̃1(e	PROPN
ejpam-5845	198	10	)	)	PUNCT
ejpam-5845	198	11	(	(	PUNCT
ejpam-5845	198	12	s	s	NOUN
ejpam-5845	198	13	)	)	PUNCT
ejpam-5845	198	14	,	,	PUNCT
ejpam-5845	198	15	tυ̃2(e	tυ̃2(e	NOUN
ejpam-5845	198	16	)	)	PUNCT
ejpam-5845	198	17	(	(	PUNCT
ejpam-5845	198	18	s	s	NOUN
ejpam-5845	198	19	)	)	PUNCT
ejpam-5845	198	20	}	}	PUNCT
ejpam-5845	198	21	,	,	PUNCT
ejpam-5845	198	22	iυ̃3(e	iυ̃3(e	NOUN
ejpam-5845	198	23	)	)	PUNCT
ejpam-5845	198	24	(	(	PUNCT
ejpam-5845	198	25	s	s	X
ejpam-5845	198	26	)	)	PUNCT
ejpam-5845	198	27	=	=	SYM
ejpam-5845	198	28	min{iυ̃1(e	min{iυ̃1(e	PROPN
ejpam-5845	198	29	)	)	PUNCT
ejpam-5845	198	30	(	(	PUNCT
ejpam-5845	198	31	s	s	NOUN
ejpam-5845	198	32	)	)	PUNCT
ejpam-5845	198	33	,	,	PUNCT
ejpam-5845	198	34	iυ̃2(e	iυ̃2(e	ADV
ejpam-5845	198	35	)	)	PUNCT
ejpam-5845	198	36	(	(	PUNCT
ejpam-5845	198	37	s	s	NOUN
ejpam-5845	198	38	)	)	PUNCT
ejpam-5845	198	39	}	}	PUNCT
ejpam-5845	198	40	,	,	PUNCT
ejpam-5845	198	41	fυ̃3(e	fυ̃3(e	NOUN
ejpam-5845	198	42	)	)	PUNCT
ejpam-5845	198	43	(	(	PUNCT
ejpam-5845	198	44	s	s	X
ejpam-5845	198	45	)	)	PUNCT
ejpam-5845	198	46	=	=	SYM
ejpam-5845	198	47	max{fυ̃1(e	max{fυ̃1(e	PROPN
ejpam-5845	198	48	)	)	PUNCT
ejpam-5845	198	49	(	(	PUNCT
ejpam-5845	198	50	s	s	NOUN
ejpam-5845	198	51	)	)	PUNCT
ejpam-5845	198	52	,	,	PUNCT
ejpam-5845	198	53	fυ̃2(e	fυ̃2(e	PROPN
ejpam-5845	198	54	)	)	PUNCT
ejpam-5845	198	55	(	(	PUNCT
ejpam-5845	198	56	s	s	NOUN
ejpam-5845	198	57	)	)	PUNCT
ejpam-5845	198	58	}	}	PUNCT
ejpam-5845	198	59	.	.	PUNCT
ejpam-5845	199	1	definition	definition	NOUN
ejpam-5845	199	2	6	6	NUM
ejpam-5845	199	3	.	.	PUNCT
ejpam-5845	200	1	[	[	X
ejpam-5845	200	2	10	10	NUM
ejpam-5845	200	3	]	]	X
ejpam-5845	200	4	let	let	NOUN
ejpam-5845	200	5	(	(	PUNCT
ejpam-5845	200	6	υ̃1	υ̃1	NOUN
ejpam-5845	200	7	,	,	PUNCT
ejpam-5845	200	8	e	e	NOUN
ejpam-5845	200	9	)	)	PUNCT
ejpam-5845	200	10	and	and	CCONJ
ejpam-5845	200	11	(	(	PUNCT
ejpam-5845	200	12	υ̃2	υ̃2	PROPN
ejpam-5845	200	13	,	,	PUNCT
ejpam-5845	200	14	e	e	NOUN
ejpam-5845	200	15	)	)	PUNCT
ejpam-5845	200	16	be	be	VERB
ejpam-5845	200	17	two	two	NUM
ejpam-5845	200	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	200	19	soft	soft	ADJ
ejpam-5845	200	20	sets	set	NOUN
ejpam-5845	200	21	.	.	PUNCT
ejpam-5845	201	1	then	then	ADV
ejpam-5845	201	2	the	the	DET
ejpam-5845	201	3	difference	difference	NOUN
ejpam-5845	201	4	operation	operation	NOUN
ejpam-5845	201	5	on	on	ADP
ejpam-5845	201	6	them	they	PRON
ejpam-5845	201	7	is	be	AUX
ejpam-5845	201	8	denoted	denote	VERB
ejpam-5845	201	9	by	by	ADP
ejpam-5845	201	10	(	(	PUNCT
ejpam-5845	201	11	υ̃1	υ̃1	NOUN
ejpam-5845	201	12	,	,	PUNCT
ejpam-5845	201	13	e	e	NOUN
ejpam-5845	201	14	)	)	PUNCT
ejpam-5845	201	15	\	\	NOUN
ejpam-5845	202	1	(	(	PUNCT
ejpam-5845	202	2	υ̃2	υ̃2	PROPN
ejpam-5845	202	3	,	,	PUNCT
ejpam-5845	202	4	e	e	NOUN
ejpam-5845	202	5	)	)	PUNCT
ejpam-5845	202	6	=	=	SYM
ejpam-5845	202	7	(	(	PUNCT
ejpam-5845	202	8	υ̃3	υ̃3	PROPN
ejpam-5845	202	9	,	,	PUNCT
ejpam-5845	202	10	e	e	NOUN
ejpam-5845	202	11	)	)	PUNCT
ejpam-5845	202	12	and	and	CCONJ
ejpam-5845	202	13	is	be	AUX
ejpam-5845	202	14	defined	define	VERB
ejpam-5845	202	15	by	by	ADP
ejpam-5845	202	16	:	:	PUNCT
ejpam-5845	202	17	(	(	PUNCT
ejpam-5845	202	18	υ̃3	υ̃3	INTJ
ejpam-5845	202	19	,	,	PUNCT
ejpam-5845	202	20	e	e	NOUN
ejpam-5845	202	21	)	)	PUNCT
ejpam-5845	202	22	=	=	SYM
ejpam-5845	202	23	{	{	PUNCT
ejpam-5845	202	24	(	(	PUNCT
ejpam-5845	202	25	e	e	NOUN
ejpam-5845	202	26	,	,	PUNCT
ejpam-5845	202	27	⟨s	⟨s	NOUN
ejpam-5845	202	28	,	,	PUNCT
ejpam-5845	202	29	tυ̃3(e	tυ̃3(e	NUM
ejpam-5845	202	30	)	)	PUNCT
ejpam-5845	202	31	(	(	PUNCT
ejpam-5845	202	32	s	s	NOUN
ejpam-5845	202	33	)	)	PUNCT
ejpam-5845	202	34	,	,	PUNCT
ejpam-5845	202	35	iυ̃3(e	iυ̃3(e	NOUN
ejpam-5845	202	36	)	)	PUNCT
ejpam-5845	202	37	(	(	PUNCT
ejpam-5845	202	38	s	s	NOUN
ejpam-5845	202	39	)	)	PUNCT
ejpam-5845	202	40	,	,	PUNCT
ejpam-5845	202	41	fυ̃3(e	fυ̃3(e	NOUN
ejpam-5845	202	42	)	)	PUNCT
ejpam-5845	202	43	(	(	PUNCT
ejpam-5845	202	44	s)⟩	s)⟩	NOUN
ejpam-5845	202	45	)	)	PUNCT
ejpam-5845	202	46	:	:	PUNCT
ejpam-5845	202	47	s	s	VERB
ejpam-5845	202	48	∈	∈	PROPN
ejpam-5845	202	49	m	m	PRON
ejpam-5845	202	50	,	,	PUNCT
ejpam-5845	202	51	e	e	PROPN
ejpam-5845	202	52	∈	∈	PROPN
ejpam-5845	202	53	é	é	PROPN
ejpam-5845	202	54	}	}	PUNCT
ejpam-5845	202	55	.	.	PUNCT
ejpam-5845	203	1	where	where	SCONJ
ejpam-5845	203	2	:	:	PUNCT
ejpam-5845	203	3	tυ̃3(e	tυ̃3(e	NUM
ejpam-5845	203	4	)	)	PUNCT
ejpam-5845	203	5	(	(	PUNCT
ejpam-5845	203	6	s	s	X
ejpam-5845	203	7	)	)	PUNCT
ejpam-5845	203	8	=	=	PUNCT
ejpam-5845	203	9	min{tυ̃1(e	min{tυ̃1(e	PROPN
ejpam-5845	203	10	)	)	PUNCT
ejpam-5845	203	11	(	(	PUNCT
ejpam-5845	203	12	s	s	NOUN
ejpam-5845	203	13	)	)	PUNCT
ejpam-5845	203	14	,	,	PUNCT
ejpam-5845	203	15	tυ̃2(e	tυ̃2(e	NOUN
ejpam-5845	203	16	)	)	PUNCT
ejpam-5845	203	17	(	(	PUNCT
ejpam-5845	203	18	s	s	NOUN
ejpam-5845	203	19	)	)	PUNCT
ejpam-5845	203	20	}	}	PUNCT
ejpam-5845	203	21	,	,	PUNCT
ejpam-5845	203	22	iυ̃3(e	iυ̃3(e	NOUN
ejpam-5845	203	23	)	)	PUNCT
ejpam-5845	203	24	(	(	PUNCT
ejpam-5845	203	25	s	s	X
ejpam-5845	203	26	)	)	PUNCT
ejpam-5845	203	27	=	=	SYM
ejpam-5845	203	28	min{iυ̃1(e	min{iυ̃1(e	PROPN
ejpam-5845	203	29	)	)	PUNCT
ejpam-5845	203	30	(	(	PUNCT
ejpam-5845	203	31	s	s	NOUN
ejpam-5845	203	32	)	)	PUNCT
ejpam-5845	203	33	,	,	PUNCT
ejpam-5845	203	34	iυ̃2(e	iυ̃2(e	ADV
ejpam-5845	203	35	)	)	PUNCT
ejpam-5845	203	36	(	(	PUNCT
ejpam-5845	203	37	s	s	NOUN
ejpam-5845	203	38	)	)	PUNCT
ejpam-5845	203	39	}	}	PUNCT
ejpam-5845	203	40	,	,	PUNCT
ejpam-5845	203	41	fυ̃3(e	fυ̃3(e	NOUN
ejpam-5845	203	42	)	)	PUNCT
ejpam-5845	203	43	(	(	PUNCT
ejpam-5845	203	44	s	s	X
ejpam-5845	203	45	)	)	PUNCT
ejpam-5845	203	46	=	=	SYM
ejpam-5845	203	47	max{fυ̃1(e	max{fυ̃1(e	PROPN
ejpam-5845	203	48	)	)	PUNCT
ejpam-5845	203	49	(	(	PUNCT
ejpam-5845	203	50	s	s	NOUN
ejpam-5845	203	51	)	)	PUNCT
ejpam-5845	203	52	,	,	PUNCT
ejpam-5845	203	53	fυ̃2(e	fυ̃2(e	PROPN
ejpam-5845	203	54	)	)	PUNCT
ejpam-5845	203	55	(	(	PUNCT
ejpam-5845	203	56	s	s	NOUN
ejpam-5845	203	57	)	)	PUNCT
ejpam-5845	203	58	}	}	PUNCT
ejpam-5845	203	59	.	.	PUNCT
ejpam-5845	204	1	definition	definition	NOUN
ejpam-5845	204	2	7	7	NUM
ejpam-5845	204	3	.	.	PUNCT
ejpam-5845	205	1	[	[	X
ejpam-5845	205	2	10	10	NUM
ejpam-5845	205	3	]	]	SYM
ejpam-5845	205	4	1	1	NUM
ejpam-5845	205	5	.	.	X
ejpam-5845	205	6	a	a	DET
ejpam-5845	205	7	neutrosophic	neutrosophic	ADJ
ejpam-5845	205	8	soft	soft	ADJ
ejpam-5845	205	9	set	set	NOUN
ejpam-5845	205	10	(	(	PUNCT
ejpam-5845	205	11	υ̃	υ̃	PROPN
ejpam-5845	205	12	,	,	PUNCT
ejpam-5845	205	13	é	é	PROPN
ejpam-5845	205	14	)	)	PUNCT
ejpam-5845	205	15	is	be	AUX
ejpam-5845	205	16	said	say	VERB
ejpam-5845	205	17	to	to	PART
ejpam-5845	205	18	be	be	AUX
ejpam-5845	205	19	a	a	DET
ejpam-5845	205	20	null	null	ADJ
ejpam-5845	205	21	neutrosophic	neutrosophic	ADJ
ejpam-5845	205	22	soft	soft	ADJ
ejpam-5845	205	23	set	set	NOUN
ejpam-5845	205	24	if	if	SCONJ
ejpam-5845	205	25	:	:	PUNCT
ejpam-5845	205	26	tυ̃(e)(s	tυ̃(e)(s	NUM
ejpam-5845	205	27	)	)	PUNCT
ejpam-5845	205	28	=	=	SYM
ejpam-5845	205	29	0	0	NUM
ejpam-5845	205	30	,	,	PUNCT
ejpam-5845	205	31	iυ̃(e)(s	iυ̃(e)(s	NOUN
ejpam-5845	205	32	)	)	PUNCT
ejpam-5845	205	33	=	=	SYM
ejpam-5845	205	34	0	0	NUM
ejpam-5845	205	35	,	,	PUNCT
ejpam-5845	205	36	fυ̃(e)(s	fυ̃(e)(s	NOUN
ejpam-5845	205	37	)	)	PUNCT
ejpam-5845	205	38	=	=	SYM
ejpam-5845	205	39	1	1	X
ejpam-5845	205	40	,	,	PUNCT
ejpam-5845	205	41	∀e	∀e	PROPN
ejpam-5845	205	42	∈	∈	PROPN
ejpam-5845	205	43	é,∀s	é,∀s	PROPN
ejpam-5845	205	44	∈	∈	PROPN
ejpam-5845	205	45	m.	m.	NOUN
ejpam-5845	205	46	it	it	PRON
ejpam-5845	205	47	is	be	AUX
ejpam-5845	205	48	denoted	denote	VERB
ejpam-5845	205	49	by	by	ADP
ejpam-5845	205	50	0(m	0(m	NUM
ejpam-5845	205	51	,	,	PUNCT
ejpam-5845	205	52	é	é	PROPN
ejpam-5845	205	53	)	)	PUNCT
ejpam-5845	205	54	.	.	PUNCT
ejpam-5845	206	1	2	2	X
ejpam-5845	206	2	.	.	X
ejpam-5845	206	3	a	a	DET
ejpam-5845	206	4	neutrosophic	neutrosophic	ADJ
ejpam-5845	206	5	soft	soft	ADJ
ejpam-5845	206	6	set	set	NOUN
ejpam-5845	206	7	(	(	PUNCT
ejpam-5845	206	8	υ̃	υ̃	PROPN
ejpam-5845	206	9	,	,	PUNCT
ejpam-5845	206	10	é	é	PROPN
ejpam-5845	206	11	)	)	PUNCT
ejpam-5845	206	12	is	be	AUX
ejpam-5845	206	13	said	say	VERB
ejpam-5845	206	14	to	to	PART
ejpam-5845	206	15	be	be	AUX
ejpam-5845	206	16	an	an	DET
ejpam-5845	206	17	absolute	absolute	ADJ
ejpam-5845	206	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	206	19	soft	soft	ADJ
ejpam-5845	206	20	set	set	NOUN
ejpam-5845	206	21	if	if	SCONJ
ejpam-5845	206	22	:	:	PUNCT
ejpam-5845	206	23	tυ̃(e)(s	tυ̃(e)(s	NUM
ejpam-5845	206	24	)	)	PUNCT
ejpam-5845	206	25	=	=	SYM
ejpam-5845	206	26	1	1	NUM
ejpam-5845	206	27	,	,	PUNCT
ejpam-5845	206	28	iυ̃(e)(s	iυ̃(e)(s	NOUN
ejpam-5845	206	29	)	)	PUNCT
ejpam-5845	206	30	=	=	SYM
ejpam-5845	206	31	1	1	NUM
ejpam-5845	206	32	,	,	PUNCT
ejpam-5845	206	33	fυ̃(e)(s	fυ̃(e)(s	NOUN
ejpam-5845	206	34	)	)	PUNCT
ejpam-5845	206	35	=	=	SYM
ejpam-5845	206	36	0	0	NUM
ejpam-5845	206	37	,	,	PUNCT
ejpam-5845	206	38	∀e	∀e	PROPN
ejpam-5845	206	39	∈	∈	PROPN
ejpam-5845	206	40	é,∀s	é,∀s	PROPN
ejpam-5845	206	41	∈	∈	PROPN
ejpam-5845	206	42	m.	m.	NOUN
ejpam-5845	206	43	it	it	PRON
ejpam-5845	206	44	is	be	AUX
ejpam-5845	206	45	symbolized	symbolize	VERB
ejpam-5845	206	46	as	as	ADP
ejpam-5845	206	47	1(m	1(m	NUM
ejpam-5845	206	48	,	,	PUNCT
ejpam-5845	206	49	é	é	PROPN
ejpam-5845	206	50	)	)	PUNCT
ejpam-5845	206	51	.	.	PUNCT
ejpam-5845	207	1	it	it	PRON
ejpam-5845	207	2	is	be	AUX
ejpam-5845	207	3	obvious	obvious	ADJ
ejpam-5845	207	4	that	that	SCONJ
ejpam-5845	207	5	:	:	PUNCT
ejpam-5845	207	6	0(m	0(m	NUM
ejpam-5845	207	7	,	,	PUNCT
ejpam-5845	207	8	é	é	PROPN
ejpam-5845	207	9	)	)	PUNCT
ejpam-5845	207	10	=	=	SYM
ejpam-5845	207	11	1(m	1(m	NUM
ejpam-5845	207	12	,	,	PUNCT
ejpam-5845	207	13	é	é	PROPN
ejpam-5845	207	14	)	)	PUNCT
ejpam-5845	207	15	,	,	PUNCT
ejpam-5845	207	16	1(m	1(m	NUM
ejpam-5845	207	17	,	,	PUNCT
ejpam-5845	207	18	é	é	PROPN
ejpam-5845	207	19	)	)	PUNCT
ejpam-5845	207	20	=	=	SYM
ejpam-5845	208	1	0(m	0(m	NUM
ejpam-5845	208	2	,	,	PUNCT
ejpam-5845	208	3	é	é	PROPN
ejpam-5845	208	4	)	)	PUNCT
ejpam-5845	208	5	.	.	PUNCT
ejpam-5845	209	1	3	3	X
ejpam-5845	209	2	.	.	X
ejpam-5845	209	3	a	a	DET
ejpam-5845	209	4	new	new	ADJ
ejpam-5845	209	5	approach	approach	NOUN
ejpam-5845	209	6	to	to	ADP
ejpam-5845	209	7	operations	operation	NOUN
ejpam-5845	209	8	on	on	ADP
ejpam-5845	209	9	quadri	quadri	NOUN
ejpam-5845	209	10	-	-	PUNCT
ejpam-5845	209	11	partitioned	partition	VERB
ejpam-5845	209	12	neutrosophic	neutrosophic	ADJ
ejpam-5845	209	13	soft	soft	ADJ
ejpam-5845	209	14	sets	set	NOUN
ejpam-5845	209	15	neutrosophic	neutrosophic	ADJ
ejpam-5845	209	16	set	set	NOUN
ejpam-5845	209	17	theory	theory	NOUN
ejpam-5845	209	18	(	(	PUNCT
ejpam-5845	209	19	nst	nst	PROPN
ejpam-5845	209	20	)	)	PUNCT
ejpam-5845	209	21	,	,	PUNCT
ejpam-5845	209	22	a	a	DET
ejpam-5845	209	23	generality	generality	NOUN
ejpam-5845	209	24	of	of	ADP
ejpam-5845	209	25	vague	vague	ADJ
ejpam-5845	209	26	set	set	NOUN
ejpam-5845	209	27	theory	theory	NOUN
ejpam-5845	209	28	(	(	PUNCT
ejpam-5845	209	29	vst	vst	PROPN
ejpam-5845	209	30	)	)	PUNCT
ejpam-5845	209	31	,	,	PUNCT
ejpam-5845	209	32	is	be	AUX
ejpam-5845	209	33	regarded	regard	VERB
ejpam-5845	209	34	as	as	ADP
ejpam-5845	209	35	the	the	DET
ejpam-5845	209	36	most	most	ADV
ejpam-5845	209	37	appealing	appealing	ADJ
ejpam-5845	209	38	theory	theory	NOUN
ejpam-5845	209	39	since	since	SCONJ
ejpam-5845	209	40	it	it	PRON
ejpam-5845	209	41	considers	consider	VERB
ejpam-5845	209	42	the	the	DET
ejpam-5845	209	43	three	three	NUM
ejpam-5845	209	44	possible	possible	ADJ
ejpam-5845	209	45	membership	membership	NOUN
ejpam-5845	209	46	values	value	NOUN
ejpam-5845	209	47	:	:	PUNCT
ejpam-5845	209	48	true	true	ADJ
ejpam-5845	209	49	,	,	PUNCT
ejpam-5845	209	50	false	false	ADJ
ejpam-5845	209	51	,	,	PUNCT
ejpam-5845	209	52	and	and	CCONJ
ejpam-5845	209	53	indeterminacy	indeterminacy	NOUN
ejpam-5845	209	54	.	.	PUNCT
ejpam-5845	210	1	the	the	DET
ejpam-5845	210	2	principles	principle	NOUN
ejpam-5845	210	3	are	be	AUX
ejpam-5845	210	4	all	all	ADV
ejpam-5845	210	5	quite	quite	ADV
ejpam-5845	210	6	obvious	obvious	ADJ
ejpam-5845	210	7	,	,	PUNCT
ejpam-5845	210	8	but	but	CCONJ
ejpam-5845	210	9	the	the	DET
ejpam-5845	210	10	third	third	ADJ
ejpam-5845	210	11	one	one	NOUN
ejpam-5845	210	12	is	be	AUX
ejpam-5845	210	13	particularly	particularly	ADV
ejpam-5845	210	14	fascinating	fascinating	ADJ
ejpam-5845	210	15	since	since	SCONJ
ejpam-5845	210	16	it	it	PRON
ejpam-5845	210	17	addresses	address	VERB
ejpam-5845	210	18	uncertainty	uncertainty	NOUN
ejpam-5845	210	19	,	,	PUNCT
ejpam-5845	210	20	which	which	PRON
ejpam-5845	210	21	arises	arise	VERB
ejpam-5845	210	22	in	in	ADP
ejpam-5845	210	23	all	all	DET
ejpam-5845	210	24	aspects	aspect	NOUN
ejpam-5845	210	25	of	of	ADP
ejpam-5845	210	26	daily	daily	ADJ
ejpam-5845	210	27	life	life	NOUN
ejpam-5845	210	28	.	.	PUNCT
ejpam-5845	211	1	one	one	PRON
ejpam-5845	211	2	can	can	AUX
ejpam-5845	211	3	make	make	VERB
ejpam-5845	211	4	the	the	DET
ejpam-5845	211	5	situation	situation	NOUN
ejpam-5845	211	6	more	more	ADV
ejpam-5845	211	7	certain	certain	ADJ
ejpam-5845	211	8	and	and	CCONJ
ejpam-5845	211	9	free	free	ADJ
ejpam-5845	211	10	of	of	ADP
ejpam-5845	211	11	error	error	NOUN
ejpam-5845	211	12	if	if	SCONJ
ejpam-5845	211	13	the	the	DET
ejpam-5845	211	14	indeterminacy	indeterminacy	NOUN
ejpam-5845	211	15	membership	membership	NOUN
ejpam-5845	211	16	is	be	AUX
ejpam-5845	211	17	refined	refine	VERB
ejpam-5845	211	18	.	.	PUNCT
ejpam-5845	212	1	this	this	PRON
ejpam-5845	212	2	can	can	AUX
ejpam-5845	212	3	be	be	AUX
ejpam-5845	212	4	accomplished	accomplish	VERB
ejpam-5845	212	5	by	by	ADP
ejpam-5845	212	6	breaking	break	VERB
ejpam-5845	212	7	down	down	ADP
ejpam-5845	212	8	the	the	DET
ejpam-5845	212	9	indeterminacy	indeterminacy	NOUN
ejpam-5845	212	10	into	into	ADP
ejpam-5845	212	11	two	two	NUM
ejpam-5845	212	12	distinct	distinct	ADJ
ejpam-5845	212	13	categories	category	NOUN
ejpam-5845	212	14	of	of	ADP
ejpam-5845	212	15	possible	possible	ADJ
ejpam-5845	212	16	m.	m.	NOUN
ejpam-5845	212	17	m.	m.	PROPN
ejpam-5845	212	18	saeed	saeed	PROPN
ejpam-5845	212	19	et	et	PROPN
ejpam-5845	212	20	al	al	PROPN
ejpam-5845	212	21	.	.	PUNCT
ejpam-5845	212	22	/	/	SYM
ejpam-5845	212	23	eur	eur	PROPN
ejpam-5845	212	24	.	.	PUNCT
ejpam-5845	213	1	j.	j.	PROPN
ejpam-5845	213	2	pure	pure	PROPN
ejpam-5845	213	3	appl	appl	PROPN
ejpam-5845	213	4	.	.	PROPN
ejpam-5845	213	5	math	math	PROPN
ejpam-5845	213	6	,	,	PUNCT
ejpam-5845	213	7	18	18	NUM
ejpam-5845	213	8	(	(	PUNCT
ejpam-5845	213	9	2	2	NUM
ejpam-5845	213	10	)	)	PUNCT
ejpam-5845	213	11	(	(	PUNCT
ejpam-5845	213	12	2025	2025	NUM
ejpam-5845	213	13	)	)	PUNCT
ejpam-5845	213	14	,	,	PUNCT
ejpam-5845	213	15	5845	5845	NUM
ejpam-5845	213	16	7	7	NUM
ejpam-5845	213	17	of	of	ADP
ejpam-5845	213	18	32	32	NUM
ejpam-5845	213	19	values	value	NOUN
ejpam-5845	213	20	:	:	PUNCT
ejpam-5845	213	21	’	'	PUNCT
ejpam-5845	213	22	relative	relative	ADJ
ejpam-5845	213	23	true	true	ADJ
ejpam-5845	213	24	’	'	PUNCT
ejpam-5845	213	25	and	and	CCONJ
ejpam-5845	213	26	’	'	PUNCT
ejpam-5845	213	27	relative	relative	ADJ
ejpam-5845	213	28	false	false	ADJ
ejpam-5845	213	29	,	,	PUNCT
ejpam-5845	213	30	’	'	PUNCT
ejpam-5845	213	31	each	each	PRON
ejpam-5845	213	32	representing	represent	VERB
ejpam-5845	213	33	different	different	ADJ
ejpam-5845	213	34	aspects	aspect	NOUN
ejpam-5845	213	35	of	of	ADP
ejpam-5845	213	36	the	the	DET
ejpam-5845	213	37	uncertainty	uncertainty	NOUN
ejpam-5845	213	38	.	.	PUNCT
ejpam-5845	214	1	this	this	DET
ejpam-5845	214	2	section	section	NOUN
ejpam-5845	214	3	is	be	AUX
ejpam-5845	214	4	devoted	devote	VERB
ejpam-5845	214	5	to	to	ADP
ejpam-5845	214	6	the	the	DET
ejpam-5845	214	7	most	most	ADV
ejpam-5845	214	8	basic	basic	ADJ
ejpam-5845	214	9	operations	operation	NOUN
ejpam-5845	214	10	of	of	ADP
ejpam-5845	214	11	union	union	NOUN
ejpam-5845	214	12	,	,	PUNCT
ejpam-5845	214	13	intersection	intersection	NOUN
ejpam-5845	214	14	,	,	PUNCT
ejpam-5845	214	15	difference	difference	NOUN
ejpam-5845	214	16	,	,	PUNCT
ejpam-5845	214	17	and	and	CCONJ
ejpam-5845	214	18	absolute	absolute	ADJ
ejpam-5845	214	19	null	null	ADJ
ejpam-5845	214	20	,	,	PUNCT
ejpam-5845	214	21	absolute	absolute	ADJ
ejpam-5845	214	22	hpnnns	hpnnn	NOUN
ejpam-5845	214	23	.	.	PUNCT
ejpam-5845	215	1	theorems	theorem	NOUN
ejpam-5845	215	2	and	and	CCONJ
ejpam-5845	215	3	examples	example	NOUN
ejpam-5845	215	4	are	be	AUX
ejpam-5845	215	5	given	give	VERB
ejpam-5845	215	6	for	for	ADP
ejpam-5845	215	7	better	well	ADJ
ejpam-5845	215	8	understanding	understand	VERB
ejpam-5845	215	9	the	the	DET
ejpam-5845	215	10	situation	situation	NOUN
ejpam-5845	215	11	.	.	PUNCT
ejpam-5845	216	1	definition	definition	NOUN
ejpam-5845	216	2	8	8	NUM
ejpam-5845	216	3	.	.	PUNCT
ejpam-5845	217	1	let	let	VERB
ejpam-5845	217	2	e	e	PRON
ejpam-5845	217	3	be	be	AUX
ejpam-5845	217	4	the	the	DET
ejpam-5845	217	5	set	set	NOUN
ejpam-5845	217	6	of	of	ADP
ejpam-5845	217	7	parameters	parameter	NOUN
ejpam-5845	217	8	and	and	CCONJ
ejpam-5845	217	9	m	m	AUX
ejpam-5845	217	10	be	be	AUX
ejpam-5845	217	11	the	the	DET
ejpam-5845	217	12	key	key	ADJ
ejpam-5845	217	13	set	set	NOUN
ejpam-5845	217	14	.	.	PUNCT
ejpam-5845	218	1	let	let	VERB
ejpam-5845	218	2	p	p	PROPN
ejpam-5845	218	3	(	(	PUNCT
ejpam-5845	218	4	m	m	NOUN
ejpam-5845	218	5	)	)	PUNCT
ejpam-5845	218	6	represent	represent	VERB
ejpam-5845	218	7	the	the	DET
ejpam-5845	218	8	power	power	NOUN
ejpam-5845	218	9	set	set	NOUN
ejpam-5845	218	10	of	of	ADP
ejpam-5845	218	11	m.	m.	NOUN
ejpam-5845	218	12	then	then	ADV
ejpam-5845	218	13	,	,	PUNCT
ejpam-5845	218	14	a	a	DET
ejpam-5845	218	15	quadri	quadri	NOUN
ejpam-5845	218	16	-	-	PUNCT
ejpam-5845	218	17	partitioned	partition	VERB
ejpam-5845	218	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	218	19	soft	soft	ADJ
ejpam-5845	218	20	set	set	NOUN
ejpam-5845	218	21	(	(	PUNCT
ejpam-5845	218	22	f̃	f̃	PROPN
ejpam-5845	218	23	,	,	PUNCT
ejpam-5845	218	24	é	é	PROPN
ejpam-5845	218	25	)	)	PUNCT
ejpam-5845	218	26	over	over	ADP
ejpam-5845	218	27	m	m	PROPN
ejpam-5845	218	28	is	be	AUX
ejpam-5845	218	29	a	a	DET
ejpam-5845	218	30	mapping	mapping	NOUN
ejpam-5845	218	31	f̃	f̃	PROPN
ejpam-5845	218	32	:	:	PUNCT
ejpam-5845	218	33	e	e	X
ejpam-5845	218	34	→	→	SYM
ejpam-5845	218	35	p	p	X
ejpam-5845	218	36	(	(	PUNCT
ejpam-5845	218	37	m	m	NOUN
ejpam-5845	218	38	)	)	PUNCT
ejpam-5845	218	39	,	,	PUNCT
ejpam-5845	218	40	where	where	SCONJ
ejpam-5845	218	41	f̃	f̃	PROPN
ejpam-5845	218	42	is	be	AUX
ejpam-5845	218	43	the	the	DET
ejpam-5845	218	44	function	function	NOUN
ejpam-5845	218	45	of	of	ADP
ejpam-5845	218	46	the	the	DET
ejpam-5845	218	47	quadri	quadri	NOUN
ejpam-5845	218	48	-	-	PUNCT
ejpam-5845	218	49	partitioned	partition	VERB
ejpam-5845	218	50	neutrosophic	neutrosophic	ADJ
ejpam-5845	218	51	soft	soft	ADJ
ejpam-5845	218	52	set	set	NOUN
ejpam-5845	218	53	(	(	PUNCT
ejpam-5845	218	54	f̃	f̃	PROPN
ejpam-5845	218	55	,	,	PUNCT
ejpam-5845	218	56	é	é	PROPN
ejpam-5845	218	57	)	)	PUNCT
ejpam-5845	218	58	.	.	PUNCT
ejpam-5845	219	1	symbolically	symbolically	ADV
ejpam-5845	219	2	,	,	PUNCT
ejpam-5845	219	3	(	(	PUNCT
ejpam-5845	219	4	f̃	f̃	PROPN
ejpam-5845	219	5	,	,	PUNCT
ejpam-5845	219	6	é	é	PROPN
ejpam-5845	219	7	)	)	PUNCT
ejpam-5845	219	8	=	=	PRON
ejpam-5845	219	9	{	{	PUNCT
ejpam-5845	219	10	(	(	PUNCT
ejpam-5845	219	11	e	e	NOUN
ejpam-5845	219	12	,	,	PUNCT
ejpam-5845	219	13	⟨s	⟨s	VERB
ejpam-5845	219	14	,	,	PUNCT
ejpam-5845	219	15	abtf̃	abtf̃	PUNCT
ejpam-5845	219	16	(	(	PUNCT
ejpam-5845	219	17	e)(s),retf̃	e)(s),retf̃	NOUN
ejpam-5845	219	18	(	(	PUNCT
ejpam-5845	219	19	e)(s),reff̃	e)(s),reff̃	PROPN
ejpam-5845	219	20	(	(	PUNCT
ejpam-5845	219	21	e)(s),abff̃	e)(s),abff̃	PROPN
ejpam-5845	219	22	(	(	PUNCT
ejpam-5845	219	23	e)(s)⟩	e)(s)⟩	NUM
ejpam-5845	219	24	)	)	PUNCT
ejpam-5845	219	25	:	:	PUNCT
ejpam-5845	219	26	s	s	VERB
ejpam-5845	219	27	∈	∈	PROPN
ejpam-5845	219	28	m	m	PRON
ejpam-5845	219	29	,	,	PUNCT
ejpam-5845	219	30	e	e	PROPN
ejpam-5845	219	31	∈	∈	PROPN
ejpam-5845	219	32	é	é	PROPN
ejpam-5845	219	33	}	}	PUNCT
ejpam-5845	219	34	.	.	PUNCT
ejpam-5845	220	1	here	here	ADV
ejpam-5845	220	2	,	,	PUNCT
ejpam-5845	220	3	abtf̃	abtf̃	PUNCT
ejpam-5845	220	4	(	(	PUNCT
ejpam-5845	220	5	e)(s	e)(s	NOUN
ejpam-5845	220	6	)	)	PUNCT
ejpam-5845	220	7	,	,	PUNCT
ejpam-5845	220	8	retf̃	retf̃	NOUN
ejpam-5845	220	9	(	(	PUNCT
ejpam-5845	220	10	e)(s	e)(s	NOUN
ejpam-5845	220	11	)	)	PUNCT
ejpam-5845	220	12	,	,	PUNCT
ejpam-5845	220	13	reff̃	reff̃	PROPN
ejpam-5845	220	14	(	(	PUNCT
ejpam-5845	220	15	e)(s	e)(s	NOUN
ejpam-5845	220	16	)	)	PUNCT
ejpam-5845	220	17	,	,	PUNCT
ejpam-5845	220	18	and	and	CCONJ
ejpam-5845	220	19	abff̃	abff̃	ADV
ejpam-5845	220	20	(	(	PUNCT
ejpam-5845	220	21	e)(s	e)(s	NOUN
ejpam-5845	220	22	)	)	PUNCT
ejpam-5845	220	23	belong	belong	VERB
ejpam-5845	220	24	to	to	ADP
ejpam-5845	220	25	the	the	DET
ejpam-5845	220	26	interval	interval	NOUN
ejpam-5845	220	27	[	[	X
ejpam-5845	220	28	0	0	NUM
ejpam-5845	220	29	,	,	PUNCT
ejpam-5845	220	30	1	1	NUM
ejpam-5845	220	31	]	]	PUNCT
ejpam-5845	220	32	.	.	PUNCT
ejpam-5845	221	1	respectively	respectively	ADV
ejpam-5845	221	2	,	,	PUNCT
ejpam-5845	221	3	these	these	DET
ejpam-5845	221	4	functions	function	NOUN
ejpam-5845	221	5	are	be	AUX
ejpam-5845	221	6	called	call	VERB
ejpam-5845	221	7	the	the	DET
ejpam-5845	221	8	absolute	absolute	ADJ
ejpam-5845	221	9	true	true	ADJ
ejpam-5845	221	10	-	-	PUNCT
ejpam-5845	221	11	membership	membership	NOUN
ejpam-5845	221	12	,	,	PUNCT
ejpam-5845	221	13	relative	relative	ADJ
ejpam-5845	221	14	true	true	ADJ
ejpam-5845	221	15	-	-	PUNCT
ejpam-5845	221	16	membership	membership	NOUN
ejpam-5845	221	17	,	,	PUNCT
ejpam-5845	221	18	relative	relative	ADJ
ejpam-5845	221	19	false	false	ADJ
ejpam-5845	221	20	-	-	PUNCT
ejpam-5845	221	21	membership	membership	NOUN
ejpam-5845	221	22	,	,	PUNCT
ejpam-5845	221	23	and	and	CCONJ
ejpam-5845	221	24	absolute	absolute	ADJ
ejpam-5845	221	25	false	false	ADJ
ejpam-5845	221	26	-	-	PUNCT
ejpam-5845	221	27	membership	membership	NOUN
ejpam-5845	221	28	functions	function	NOUN
ejpam-5845	221	29	of	of	ADP
ejpam-5845	221	30	f̃	f̃	PROPN
ejpam-5845	221	31	(	(	PUNCT
ejpam-5845	221	32	e	e	NOUN
ejpam-5845	221	33	)	)	PUNCT
ejpam-5845	221	34	.	.	PUNCT
ejpam-5845	222	1	since	since	SCONJ
ejpam-5845	222	2	the	the	DET
ejpam-5845	222	3	supremum	supremum	NOUN
ejpam-5845	222	4	of	of	ADP
ejpam-5845	222	5	each	each	DET
ejpam-5845	222	6	function	function	NOUN
ejpam-5845	222	7	is	be	AUX
ejpam-5845	222	8	1	1	NUM
ejpam-5845	222	9	and	and	CCONJ
ejpam-5845	222	10	the	the	DET
ejpam-5845	222	11	infimum	infimum	NOUN
ejpam-5845	222	12	is	be	AUX
ejpam-5845	222	13	0	0	NUM
ejpam-5845	222	14	,	,	PUNCT
ejpam-5845	222	15	the	the	DET
ejpam-5845	222	16	following	follow	VERB
ejpam-5845	222	17	inequality	inequality	NOUN
ejpam-5845	222	18	holds	hold	VERB
ejpam-5845	222	19	:	:	PUNCT
ejpam-5845	222	20	0	0	NUM
ejpam-5845	222	21	≤	≤	NUM
ejpam-5845	222	22	abtf̃	abtf̃	PUNCT
ejpam-5845	222	23	(	(	PUNCT
ejpam-5845	222	24	e)(s	e)(s	NOUN
ejpam-5845	222	25	)	)	PUNCT
ejpam-5845	223	1	+	+	CCONJ
ejpam-5845	223	2	retf̃	retf̃	NOUN
ejpam-5845	223	3	(	(	PUNCT
ejpam-5845	223	4	e)(s	e)(s	NOUN
ejpam-5845	223	5	)	)	PUNCT
ejpam-5845	223	6	+	+	CCONJ
ejpam-5845	223	7	reff̃	reff̃	PROPN
ejpam-5845	223	8	(	(	PUNCT
ejpam-5845	223	9	e)(s	e)(s	NOUN
ejpam-5845	223	10	)	)	PUNCT
ejpam-5845	223	11	+	+	ADJ
ejpam-5845	223	12	abff̃	abff̃	PROPN
ejpam-5845	223	13	(	(	PUNCT
ejpam-5845	223	14	e)(s	e)(s	NOUN
ejpam-5845	223	15	)	)	PUNCT
ejpam-5845	223	16	≤	≤	NUM
ejpam-5845	223	17	4	4	NUM
ejpam-5845	223	18	.	.	PUNCT
ejpam-5845	223	19	definition	definition	NOUN
ejpam-5845	223	20	9	9	NUM
ejpam-5845	223	21	.	.	PUNCT
ejpam-5845	224	1	let	let	AUX
ejpam-5845	224	2	(	(	PUNCT
ejpam-5845	224	3	f̃	f̃	PROPN
ejpam-5845	224	4	,	,	PUNCT
ejpam-5845	224	5	é	é	PROPN
ejpam-5845	224	6	)	)	PUNCT
ejpam-5845	224	7	be	be	VERB
ejpam-5845	224	8	a	a	DET
ejpam-5845	224	9	quadri	quadri	NOUN
ejpam-5845	224	10	-	-	PUNCT
ejpam-5845	224	11	partitioned	partition	VERB
ejpam-5845	224	12	neutrosophic	neutrosophic	ADJ
ejpam-5845	224	13	soft	soft	ADJ
ejpam-5845	224	14	set	set	NOUN
ejpam-5845	224	15	over	over	ADP
ejpam-5845	224	16	the	the	DET
ejpam-5845	224	17	key	key	ADJ
ejpam-5845	224	18	set	set	NOUN
ejpam-5845	224	19	m.	m.	NOUN
ejpam-5845	224	20	then	then	ADV
ejpam-5845	224	21	,	,	PUNCT
ejpam-5845	224	22	the	the	DET
ejpam-5845	224	23	complement	complement	NOUN
ejpam-5845	224	24	of	of	ADP
ejpam-5845	224	25	(	(	PUNCT
ejpam-5845	224	26	f̃	f̃	PROPN
ejpam-5845	224	27	,	,	PUNCT
ejpam-5845	224	28	é	é	PROPN
ejpam-5845	224	29	)	)	PUNCT
ejpam-5845	224	30	is	be	AUX
ejpam-5845	224	31	denoted	denote	VERB
ejpam-5845	224	32	by	by	ADP
ejpam-5845	224	33	(	(	PUNCT
ejpam-5845	224	34	f̃	f̃	PROPN
ejpam-5845	224	35	,	,	PUNCT
ejpam-5845	224	36	é)c	é)c	X
ejpam-5845	224	37	and	and	CCONJ
ejpam-5845	224	38	is	be	AUX
ejpam-5845	224	39	defined	define	VERB
ejpam-5845	224	40	as	as	SCONJ
ejpam-5845	224	41	follows	follow	VERB
ejpam-5845	224	42	:	:	PUNCT
ejpam-5845	224	43	(	(	PUNCT
ejpam-5845	224	44	f̃	f̃	PROPN
ejpam-5845	224	45	,	,	PUNCT
ejpam-5845	224	46	é)c	é)c	X
ejpam-5845	224	47	=	=	PUNCT
ejpam-5845	224	48	{	{	PUNCT
ejpam-5845	224	49	(	(	PUNCT
ejpam-5845	224	50	e	e	NOUN
ejpam-5845	224	51	,	,	PUNCT
ejpam-5845	224	52	⟨s	⟨s	VERB
ejpam-5845	224	53	,	,	PUNCT
ejpam-5845	224	54	abff̃	abff̃	ADV
ejpam-5845	224	55	(	(	PUNCT
ejpam-5845	224	56	e)(s),reff̃	e)(s),reff̃	PROPN
ejpam-5845	224	57	(	(	PUNCT
ejpam-5845	224	58	e)(s),retf̃	e)(s),retf̃	NOUN
ejpam-5845	224	59	(	(	PUNCT
ejpam-5845	224	60	e)(s),abtf̃	e)(s),abtf̃	NOUN
ejpam-5845	224	61	(	(	PUNCT
ejpam-5845	224	62	e)(s)⟩	e)(s)⟩	NUM
ejpam-5845	224	63	)	)	PUNCT
ejpam-5845	224	64	:	:	PUNCT
ejpam-5845	225	1	s	s	VERB
ejpam-5845	225	2	∈	∈	PROPN
ejpam-5845	225	3	m	m	PRON
ejpam-5845	225	4	,	,	PUNCT
ejpam-5845	225	5	e	e	PROPN
ejpam-5845	225	6	∈	∈	PROPN
ejpam-5845	225	7	é	é	PROPN
ejpam-5845	225	8	}	}	PUNCT
ejpam-5845	225	9	.	.	PUNCT
ejpam-5845	226	1	it	it	PRON
ejpam-5845	226	2	follows	follow	VERB
ejpam-5845	226	3	that	that	SCONJ
ejpam-5845	226	4	(	(	PUNCT
ejpam-5845	226	5	(	(	PUNCT
ejpam-5845	226	6	f̃	f̃	PROPN
ejpam-5845	226	7	,	,	PUNCT
ejpam-5845	226	8	é)c	é)c	NOUN
ejpam-5845	226	9	)	)	PUNCT
ejpam-5845	226	10	c	c	NOUN
ejpam-5845	226	11	=	=	SYM
ejpam-5845	226	12	(	(	PUNCT
ejpam-5845	226	13	f̃	f̃	PROPN
ejpam-5845	226	14	,	,	PUNCT
ejpam-5845	226	15	é	é	PROPN
ejpam-5845	226	16	)	)	PUNCT
ejpam-5845	226	17	.	.	PUNCT
ejpam-5845	227	1	definition	definition	NOUN
ejpam-5845	227	2	10	10	NUM
ejpam-5845	227	3	.	.	PUNCT
ejpam-5845	228	1	let	let	VERB
ejpam-5845	228	2	(	(	PUNCT
ejpam-5845	228	3	f̃	f̃	PROPN
ejpam-5845	228	4	,	,	PUNCT
ejpam-5845	228	5	é	é	PROPN
ejpam-5845	228	6	)	)	PUNCT
ejpam-5845	228	7	and	and	CCONJ
ejpam-5845	228	8	(	(	PUNCT
ejpam-5845	228	9	g̃	g̃	PROPN
ejpam-5845	228	10	,	,	PUNCT
ejpam-5845	228	11	é	é	PROPN
ejpam-5845	228	12	)	)	PUNCT
ejpam-5845	228	13	be	be	VERB
ejpam-5845	228	14	two	two	NUM
ejpam-5845	228	15	quadri	quadri	NOUN
ejpam-5845	228	16	-	-	PUNCT
ejpam-5845	228	17	partitioned	partition	VERB
ejpam-5845	228	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	228	19	soft	soft	ADJ
ejpam-5845	228	20	sets	set	NOUN
ejpam-5845	228	21	over	over	ADP
ejpam-5845	228	22	the	the	DET
ejpam-5845	228	23	key	key	ADJ
ejpam-5845	228	24	set	set	NOUN
ejpam-5845	228	25	m.	m.	NOUN
ejpam-5845	228	26	then	then	ADV
ejpam-5845	228	27	,	,	PUNCT
ejpam-5845	228	28	(	(	PUNCT
ejpam-5845	228	29	f̃	f̃	PROPN
ejpam-5845	228	30	,	,	PUNCT
ejpam-5845	228	31	é	é	PROPN
ejpam-5845	228	32	)	)	PUNCT
ejpam-5845	228	33	⊆	⊆	NUM
ejpam-5845	228	34	(	(	PUNCT
ejpam-5845	228	35	g̃	g̃	PROPN
ejpam-5845	228	36	,	,	PUNCT
ejpam-5845	228	37	é	é	PROPN
ejpam-5845	228	38	)	)	PUNCT
ejpam-5845	228	39	if	if	SCONJ
ejpam-5845	228	40	abtf̃	abtf̃	ADV
ejpam-5845	228	41	(	(	PUNCT
ejpam-5845	228	42	e)(s	e)(s	NOUN
ejpam-5845	228	43	)	)	PUNCT
ejpam-5845	228	44	⪯	⪯	NOUN
ejpam-5845	228	45	abtg̃(e)(s	abtg̃(e)(s	PROPN
ejpam-5845	228	46	)	)	PUNCT
ejpam-5845	228	47	,	,	PUNCT
ejpam-5845	228	48	retf̃	retf̃	PROPN
ejpam-5845	228	49	(	(	PUNCT
ejpam-5845	228	50	e)(s	e)(s	NOUN
ejpam-5845	228	51	)	)	PUNCT
ejpam-5845	228	52	⪯	⪯	NOUN
ejpam-5845	228	53	retg̃(e)(s	retg̃(e)(s	NOUN
ejpam-5845	228	54	)	)	PUNCT
ejpam-5845	228	55	,	,	PUNCT
ejpam-5845	228	56	reff̃	reff̃	PROPN
ejpam-5845	228	57	(	(	PUNCT
ejpam-5845	228	58	e)(s	e)(s	NOUN
ejpam-5845	228	59	)	)	PUNCT
ejpam-5845	228	60	⪰	⪰	NOUN
ejpam-5845	228	61	refg̃(e)(s	refg̃(e)(s	NOUN
ejpam-5845	228	62	)	)	PUNCT
ejpam-5845	228	63	,	,	PUNCT
ejpam-5845	228	64	abff̃	abff̃	ADV
ejpam-5845	228	65	(	(	PUNCT
ejpam-5845	228	66	e)(s	e)(s	NOUN
ejpam-5845	228	67	)	)	PUNCT
ejpam-5845	228	68	⪰	⪰	NOUN
ejpam-5845	228	69	abfg̃(e)(s	abfg̃(e)(s	NOUN
ejpam-5845	228	70	)	)	PUNCT
ejpam-5845	228	71	,	,	PUNCT
ejpam-5845	228	72	for	for	ADP
ejpam-5845	228	73	all	all	DET
ejpam-5845	228	74	e	e	PROPN
ejpam-5845	228	75	∈	∈	NOUN
ejpam-5845	228	76	é	é	PROPN
ejpam-5845	228	77	and	and	CCONJ
ejpam-5845	228	78	s	s	PROPN
ejpam-5845	228	79	∈	∈	NOUN
ejpam-5845	228	80	m.	m.	NOUN
ejpam-5845	228	81	if	if	SCONJ
ejpam-5845	228	82	(	(	PUNCT
ejpam-5845	228	83	f̃	f̃	PROPN
ejpam-5845	228	84	,	,	PUNCT
ejpam-5845	228	85	é	é	PROPN
ejpam-5845	228	86	)	)	PUNCT
ejpam-5845	228	87	⊆	⊆	NUM
ejpam-5845	228	88	(	(	PUNCT
ejpam-5845	228	89	g̃	g̃	PROPN
ejpam-5845	228	90	,	,	PUNCT
ejpam-5845	228	91	é	é	PROPN
ejpam-5845	228	92	)	)	PUNCT
ejpam-5845	228	93	and	and	CCONJ
ejpam-5845	228	94	(	(	PUNCT
ejpam-5845	228	95	f̃	f̃	PROPN
ejpam-5845	228	96	,	,	PUNCT
ejpam-5845	228	97	é	é	PROPN
ejpam-5845	228	98	)	)	PUNCT
ejpam-5845	228	99	⊇	⊇	NOUN
ejpam-5845	228	100	(	(	PUNCT
ejpam-5845	228	101	g̃	g̃	PROPN
ejpam-5845	228	102	,	,	PUNCT
ejpam-5845	228	103	é	é	PROPN
ejpam-5845	228	104	)	)	PUNCT
ejpam-5845	228	105	,	,	PUNCT
ejpam-5845	228	106	then	then	ADV
ejpam-5845	228	107	(	(	PUNCT
ejpam-5845	228	108	f̃	f̃	PROPN
ejpam-5845	228	109	,	,	PUNCT
ejpam-5845	228	110	é	é	PROPN
ejpam-5845	228	111	)	)	PUNCT
ejpam-5845	228	112	=	=	SYM
ejpam-5845	228	113	(	(	PUNCT
ejpam-5845	228	114	g̃	g̃	PROPN
ejpam-5845	228	115	,	,	PUNCT
ejpam-5845	228	116	é	é	PROPN
ejpam-5845	228	117	)	)	PUNCT
ejpam-5845	228	118	.	.	PUNCT
ejpam-5845	229	1	definition	definition	NOUN
ejpam-5845	229	2	11	11	NUM
ejpam-5845	229	3	.	.	PUNCT
ejpam-5845	230	1	let	let	VERB
ejpam-5845	230	2	(	(	PUNCT
ejpam-5845	230	3	f̃	f̃	PROPN
ejpam-5845	230	4	,	,	PUNCT
ejpam-5845	230	5	é	é	PROPN
ejpam-5845	230	6	)	)	PUNCT
ejpam-5845	230	7	and	and	CCONJ
ejpam-5845	230	8	(	(	PUNCT
ejpam-5845	230	9	g̃	g̃	PROPN
ejpam-5845	230	10	,	,	PUNCT
ejpam-5845	230	11	é	é	PROPN
ejpam-5845	230	12	)	)	PUNCT
ejpam-5845	230	13	be	be	VERB
ejpam-5845	230	14	two	two	NUM
ejpam-5845	230	15	quadri	quadri	NOUN
ejpam-5845	230	16	-	-	PUNCT
ejpam-5845	230	17	partitioned	partition	VERB
ejpam-5845	230	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	230	19	soft	soft	ADJ
ejpam-5845	230	20	sets	set	NOUN
ejpam-5845	230	21	over	over	ADP
ejpam-5845	230	22	the	the	DET
ejpam-5845	230	23	key	key	ADJ
ejpam-5845	230	24	set	set	NOUN
ejpam-5845	230	25	m	m	VERB
ejpam-5845	230	26	such	such	ADJ
ejpam-5845	230	27	that	that	SCONJ
ejpam-5845	230	28	(	(	PUNCT
ejpam-5845	230	29	f̃	f̃	PROPN
ejpam-5845	230	30	,	,	PUNCT
ejpam-5845	230	31	é	é	PROPN
ejpam-5845	230	32	)	)	PUNCT
ejpam-5845	230	33	̸=	̸=	PROPN
ejpam-5845	230	34	(	(	PUNCT
ejpam-5845	230	35	g̃	g̃	PROPN
ejpam-5845	230	36	,	,	PUNCT
ejpam-5845	230	37	é	é	PROPN
ejpam-5845	230	38	)	)	PUNCT
ejpam-5845	230	39	.	.	PUNCT
ejpam-5845	231	1	then	then	ADV
ejpam-5845	231	2	their	their	PRON
ejpam-5845	231	3	union	union	NOUN
ejpam-5845	231	4	is	be	AUX
ejpam-5845	231	5	denoted	denote	VERB
ejpam-5845	231	6	by	by	ADP
ejpam-5845	231	7	(	(	PUNCT
ejpam-5845	231	8	f̃	f̃	PROPN
ejpam-5845	231	9	,	,	PUNCT
ejpam-5845	231	10	é)⋓	é)⋓	PROPN
ejpam-5845	231	11	(	(	PUNCT
ejpam-5845	231	12	g̃	g̃	PROPN
ejpam-5845	231	13	,	,	PUNCT
ejpam-5845	231	14	é	é	PROPN
ejpam-5845	231	15	)	)	PUNCT
ejpam-5845	231	16	=	=	SYM
ejpam-5845	231	17	(	(	PUNCT
ejpam-5845	231	18	h̃	h̃	PROPN
ejpam-5845	231	19	,	,	PUNCT
ejpam-5845	231	20	é	é	PROPN
ejpam-5845	231	21	)	)	PUNCT
ejpam-5845	231	22	and	and	CCONJ
ejpam-5845	231	23	is	be	AUX
ejpam-5845	231	24	defined	define	VERB
ejpam-5845	231	25	as	as	ADP
ejpam-5845	231	26	:	:	PUNCT
ejpam-5845	231	27	(	(	PUNCT
ejpam-5845	231	28	h̃	h̃	PROPN
ejpam-5845	231	29	,	,	PUNCT
ejpam-5845	231	30	e	e	NOUN
ejpam-5845	231	31	)	)	PUNCT
ejpam-5845	232	1	=	=	SYM
ejpam-5845	232	2	{	{	PUNCT
ejpam-5845	232	3	(	(	PUNCT
ejpam-5845	232	4	e	e	NOUN
ejpam-5845	232	5	,	,	PUNCT
ejpam-5845	232	6	⟨s	⟨s	NOUN
ejpam-5845	232	7	,	,	PUNCT
ejpam-5845	232	8	abth̃(e)(s),reth̃(e)(s),refh̃(e)(s),abfh̃(e)(s)⟩	abth̃(e)(s),reth̃(e)(s),refh̃(e)(s),abfh̃(e)(s)⟩	NOUN
ejpam-5845	232	9	)	)	PUNCT
ejpam-5845	232	10	:	:	PUNCT
ejpam-5845	232	11	s	s	VERB
ejpam-5845	232	12	∈	∈	PROPN
ejpam-5845	232	13	m	m	NOUN
ejpam-5845	232	14	,	,	PUNCT
ejpam-5845	232	15	e	e	PROPN
ejpam-5845	232	16	∈	∈	PROPN
ejpam-5845	232	17	e	e	X
ejpam-5845	232	18	}	}	PUNCT
ejpam-5845	232	19	.	.	PUNCT
ejpam-5845	233	1	where	where	SCONJ
ejpam-5845	233	2	abth̃(e)(s	abth̃(e)(s	NOUN
ejpam-5845	233	3	)	)	PUNCT
ejpam-5845	233	4	=	=	SYM
ejpam-5845	233	5	max	max	PROPN
ejpam-5845	233	6	{	{	PUNCT
ejpam-5845	233	7	abtf̃	abtf̃	PROPN
ejpam-5845	233	8	(	(	PUNCT
ejpam-5845	233	9	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	233	10	)	)	PUNCT
ejpam-5845	233	11	}	}	PUNCT
ejpam-5845	233	12	,	,	PUNCT
ejpam-5845	233	13	reth̃(e)(s	reth̃(e)(s	NOUN
ejpam-5845	233	14	)	)	PUNCT
ejpam-5845	233	15	=	=	SYM
ejpam-5845	233	16	max	max	PROPN
ejpam-5845	233	17	{	{	PUNCT
ejpam-5845	233	18	retf̃	retf̃	NOUN
ejpam-5845	233	19	(	(	PUNCT
ejpam-5845	233	20	e)(s),retg̃(e)(s	e)(s),retg̃(e)(s	NOUN
ejpam-5845	233	21	)	)	PUNCT
ejpam-5845	233	22	}	}	PUNCT
ejpam-5845	233	23	,	,	PUNCT
ejpam-5845	233	24	refh̃(e)(s	refh̃(e)(s	NOUN
ejpam-5845	233	25	)	)	PUNCT
ejpam-5845	233	26	=	=	SYM
ejpam-5845	233	27	min	min	NOUN
ejpam-5845	233	28	{	{	PUNCT
ejpam-5845	233	29	reff̃	reff̃	PROPN
ejpam-5845	233	30	(	(	PUNCT
ejpam-5845	233	31	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	233	32	)	)	PUNCT
ejpam-5845	233	33	}	}	PUNCT
ejpam-5845	233	34	,	,	PUNCT
ejpam-5845	233	35	abfh̃(e)(s	abfh̃(e)(s	ADJ
ejpam-5845	233	36	)	)	PUNCT
ejpam-5845	233	37	=	=	SYM
ejpam-5845	233	38	min	min	NOUN
ejpam-5845	233	39	{	{	PUNCT
ejpam-5845	233	40	abff̃	abff̃	ADV
ejpam-5845	233	41	(	(	PUNCT
ejpam-5845	233	42	e)(s),abfg̃(e)(s	e)(s),abfg̃(e)(s	NOUN
ejpam-5845	233	43	)	)	PUNCT
ejpam-5845	233	44	}	}	PUNCT
ejpam-5845	233	45	.	.	PUNCT
ejpam-5845	234	1	m.	m.	NOUN
ejpam-5845	234	2	m.	m.	PROPN
ejpam-5845	234	3	saeed	saeed	PROPN
ejpam-5845	234	4	et	et	PROPN
ejpam-5845	234	5	al	al	PROPN
ejpam-5845	234	6	.	.	PUNCT
ejpam-5845	234	7	/	/	SYM
ejpam-5845	234	8	eur	eur	PROPN
ejpam-5845	234	9	.	.	PUNCT
ejpam-5845	235	1	j.	j.	PROPN
ejpam-5845	235	2	pure	pure	PROPN
ejpam-5845	235	3	appl	appl	PROPN
ejpam-5845	235	4	.	.	PROPN
ejpam-5845	235	5	math	math	PROPN
ejpam-5845	235	6	,	,	PUNCT
ejpam-5845	235	7	18	18	NUM
ejpam-5845	235	8	(	(	PUNCT
ejpam-5845	235	9	2	2	NUM
ejpam-5845	235	10	)	)	PUNCT
ejpam-5845	235	11	(	(	PUNCT
ejpam-5845	235	12	2025	2025	NUM
ejpam-5845	235	13	)	)	PUNCT
ejpam-5845	235	14	,	,	PUNCT
ejpam-5845	235	15	5845	5845	NUM
ejpam-5845	235	16	8	8	NUM
ejpam-5845	235	17	of	of	ADP
ejpam-5845	235	18	32	32	NUM
ejpam-5845	235	19	definition	definition	NOUN
ejpam-5845	235	20	12	12	NUM
ejpam-5845	235	21	.	.	PUNCT
ejpam-5845	236	1	let	let	VERB
ejpam-5845	236	2	(	(	PUNCT
ejpam-5845	236	3	f̃	f̃	PROPN
ejpam-5845	236	4	,	,	PUNCT
ejpam-5845	236	5	é	é	PROPN
ejpam-5845	236	6	)	)	PUNCT
ejpam-5845	236	7	and	and	CCONJ
ejpam-5845	236	8	(	(	PUNCT
ejpam-5845	236	9	g̃	g̃	PROPN
ejpam-5845	236	10	,	,	PUNCT
ejpam-5845	236	11	é	é	PROPN
ejpam-5845	236	12	)	)	PUNCT
ejpam-5845	236	13	be	be	VERB
ejpam-5845	236	14	two	two	NUM
ejpam-5845	236	15	quadri	quadri	NOUN
ejpam-5845	236	16	-	-	PUNCT
ejpam-5845	236	17	partitioned	partition	VERB
ejpam-5845	236	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	236	19	soft	soft	ADJ
ejpam-5845	236	20	sets	set	NOUN
ejpam-5845	236	21	over	over	ADP
ejpam-5845	236	22	the	the	DET
ejpam-5845	236	23	key	key	ADJ
ejpam-5845	236	24	set	set	NOUN
ejpam-5845	236	25	m	m	VERB
ejpam-5845	236	26	such	such	ADJ
ejpam-5845	236	27	that	that	SCONJ
ejpam-5845	236	28	(	(	PUNCT
ejpam-5845	236	29	f̃	f̃	PROPN
ejpam-5845	236	30	,	,	PUNCT
ejpam-5845	236	31	é	é	PROPN
ejpam-5845	236	32	)	)	PUNCT
ejpam-5845	236	33	̸=	̸=	PROPN
ejpam-5845	236	34	(	(	PUNCT
ejpam-5845	236	35	g̃	g̃	PROPN
ejpam-5845	236	36	,	,	PUNCT
ejpam-5845	236	37	é	é	PROPN
ejpam-5845	236	38	)	)	PUNCT
ejpam-5845	236	39	.	.	PUNCT
ejpam-5845	237	1	then	then	ADV
ejpam-5845	237	2	their	their	PRON
ejpam-5845	237	3	intersection	intersection	NOUN
ejpam-5845	237	4	is	be	AUX
ejpam-5845	237	5	denoted	denote	VERB
ejpam-5845	237	6	by	by	ADP
ejpam-5845	237	7	(	(	PUNCT
ejpam-5845	237	8	f̃	f̃	PROPN
ejpam-5845	237	9	,	,	PUNCT
ejpam-5845	237	10	é	é	PROPN
ejpam-5845	237	11	)	)	PUNCT
ejpam-5845	237	12	⋒	⋒	PUNCT
ejpam-5845	237	13	(	(	PUNCT
ejpam-5845	237	14	g̃	g̃	PROPN
ejpam-5845	237	15	,	,	PUNCT
ejpam-5845	237	16	é	é	PROPN
ejpam-5845	237	17	)	)	PUNCT
ejpam-5845	237	18	=	=	SYM
ejpam-5845	237	19	(	(	PUNCT
ejpam-5845	237	20	h̃	h̃	PROPN
ejpam-5845	237	21	,	,	PUNCT
ejpam-5845	237	22	é	é	PROPN
ejpam-5845	237	23	)	)	PUNCT
ejpam-5845	237	24	and	and	CCONJ
ejpam-5845	237	25	is	be	AUX
ejpam-5845	237	26	defined	define	VERB
ejpam-5845	237	27	as	as	ADP
ejpam-5845	237	28	:	:	PUNCT
ejpam-5845	237	29	(	(	PUNCT
ejpam-5845	237	30	h̃	h̃	PROPN
ejpam-5845	237	31	,	,	PUNCT
ejpam-5845	237	32	é	é	PROPN
ejpam-5845	237	33	)	)	PUNCT
ejpam-5845	237	34	=	=	PRON
ejpam-5845	237	35	{	{	PUNCT
ejpam-5845	237	36	(	(	PUNCT
ejpam-5845	237	37	e	e	NOUN
ejpam-5845	237	38	,	,	PUNCT
ejpam-5845	237	39	⟨s	⟨s	NOUN
ejpam-5845	237	40	,	,	PUNCT
ejpam-5845	237	41	abth̃(e)(s),reth̃(e)(s),refh̃(e)(s),abfh̃(e)(s)⟩	abth̃(e)(s),reth̃(e)(s),refh̃(e)(s),abfh̃(e)(s)⟩	NOUN
ejpam-5845	237	42	)	)	PUNCT
ejpam-5845	237	43	:	:	PUNCT
ejpam-5845	237	44	s	s	VERB
ejpam-5845	237	45	∈	∈	PROPN
ejpam-5845	237	46	m	m	PRON
ejpam-5845	237	47	,	,	PUNCT
ejpam-5845	237	48	e	e	PROPN
ejpam-5845	237	49	∈	∈	PROPN
ejpam-5845	237	50	é	é	PROPN
ejpam-5845	237	51	}	}	PUNCT
ejpam-5845	237	52	.	.	PUNCT
ejpam-5845	238	1	where	where	SCONJ
ejpam-5845	238	2	abth̃(e)(s	abth̃(e)(s	NOUN
ejpam-5845	238	3	)	)	PUNCT
ejpam-5845	238	4	=	=	SYM
ejpam-5845	238	5	min	min	NOUN
ejpam-5845	238	6	{	{	PUNCT
ejpam-5845	238	7	abtf̃	abtf̃	PROPN
ejpam-5845	238	8	(	(	PUNCT
ejpam-5845	238	9	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	238	10	)	)	PUNCT
ejpam-5845	238	11	}	}	PUNCT
ejpam-5845	238	12	,	,	PUNCT
ejpam-5845	238	13	reth̃(e)(s	reth̃(e)(s	NOUN
ejpam-5845	238	14	)	)	PUNCT
ejpam-5845	238	15	=	=	SYM
ejpam-5845	238	16	min	min	NOUN
ejpam-5845	238	17	{	{	PUNCT
ejpam-5845	238	18	retf̃	retf̃	NOUN
ejpam-5845	238	19	(	(	PUNCT
ejpam-5845	238	20	e)(s),retg̃(e)(s	e)(s),retg̃(e)(s	NOUN
ejpam-5845	238	21	)	)	PUNCT
ejpam-5845	238	22	}	}	PUNCT
ejpam-5845	238	23	,	,	PUNCT
ejpam-5845	238	24	refh̃(e)(s	refh̃(e)(s	NOUN
ejpam-5845	238	25	)	)	PUNCT
ejpam-5845	238	26	=	=	SYM
ejpam-5845	238	27	max	max	PROPN
ejpam-5845	238	28	{	{	PUNCT
ejpam-5845	238	29	reff̃	reff̃	PROPN
ejpam-5845	238	30	(	(	PUNCT
ejpam-5845	238	31	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	238	32	)	)	PUNCT
ejpam-5845	238	33	}	}	PUNCT
ejpam-5845	238	34	,	,	PUNCT
ejpam-5845	238	35	abfh̃(e)(s	abfh̃(e)(s	ADJ
ejpam-5845	238	36	)	)	PUNCT
ejpam-5845	238	37	=	=	SYM
ejpam-5845	238	38	max	max	PROPN
ejpam-5845	238	39	{	{	PUNCT
ejpam-5845	238	40	abff̃	abff̃	ADV
ejpam-5845	238	41	(	(	PUNCT
ejpam-5845	238	42	e)(s),abfg̃(e)(s	e)(s),abfg̃(e)(s	NOUN
ejpam-5845	238	43	)	)	PUNCT
ejpam-5845	238	44	}	}	PUNCT
ejpam-5845	238	45	.	.	PUNCT
ejpam-5845	239	1	definition	definition	NOUN
ejpam-5845	239	2	13	13	NUM
ejpam-5845	239	3	.	.	PUNCT
ejpam-5845	240	1	let	let	VERB
ejpam-5845	240	2	(	(	PUNCT
ejpam-5845	240	3	f̃	f̃	PROPN
ejpam-5845	240	4	,	,	PUNCT
ejpam-5845	240	5	é	é	PROPN
ejpam-5845	240	6	)	)	PUNCT
ejpam-5845	240	7	and	and	CCONJ
ejpam-5845	240	8	(	(	PUNCT
ejpam-5845	240	9	g̃	g̃	PROPN
ejpam-5845	240	10	,	,	PUNCT
ejpam-5845	240	11	é	é	PROPN
ejpam-5845	240	12	)	)	PUNCT
ejpam-5845	240	13	be	be	VERB
ejpam-5845	240	14	two	two	NUM
ejpam-5845	240	15	quadri	quadri	NOUN
ejpam-5845	240	16	-	-	PUNCT
ejpam-5845	240	17	partitioned	partition	VERB
ejpam-5845	240	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	240	19	soft	soft	ADJ
ejpam-5845	240	20	sets	set	NOUN
ejpam-5845	240	21	over	over	ADP
ejpam-5845	240	22	the	the	DET
ejpam-5845	240	23	key	key	ADJ
ejpam-5845	240	24	set	set	NOUN
ejpam-5845	240	25	m	m	VERB
ejpam-5845	240	26	such	such	ADJ
ejpam-5845	240	27	that	that	SCONJ
ejpam-5845	240	28	(	(	PUNCT
ejpam-5845	240	29	f̃	f̃	PROPN
ejpam-5845	240	30	,	,	PUNCT
ejpam-5845	240	31	é	é	PROPN
ejpam-5845	240	32	)	)	PUNCT
ejpam-5845	240	33	̸=	̸=	PROPN
ejpam-5845	240	34	(	(	PUNCT
ejpam-5845	240	35	g̃	g̃	PROPN
ejpam-5845	240	36	,	,	PUNCT
ejpam-5845	240	37	é	é	PROPN
ejpam-5845	240	38	)	)	PUNCT
ejpam-5845	240	39	.	.	PUNCT
ejpam-5845	241	1	then	then	ADV
ejpam-5845	241	2	,	,	PUNCT
ejpam-5845	241	3	their	their	PRON
ejpam-5845	241	4	difference	difference	NOUN
ejpam-5845	241	5	is	be	AUX
ejpam-5845	241	6	denoted	denote	VERB
ejpam-5845	241	7	by	by	ADP
ejpam-5845	241	8	(	(	PUNCT
ejpam-5845	241	9	h̃	h̃	PROPN
ejpam-5845	241	10	,	,	PUNCT
ejpam-5845	241	11	é	é	PROPN
ejpam-5845	241	12	)	)	PUNCT
ejpam-5845	241	13	=	=	SYM
ejpam-5845	241	14	(	(	PUNCT
ejpam-5845	241	15	f̃	f̃	PROPN
ejpam-5845	241	16	,	,	PUNCT
ejpam-5845	241	17	é	é	PROPN
ejpam-5845	241	18	)	)	PUNCT
ejpam-5845	241	19	\	\	PUNCT
ejpam-5845	242	1	(	(	PUNCT
ejpam-5845	242	2	g̃	g̃	PROPN
ejpam-5845	242	3	,	,	PUNCT
ejpam-5845	242	4	é	é	PROPN
ejpam-5845	242	5	)	)	PUNCT
ejpam-5845	242	6	and	and	CCONJ
ejpam-5845	242	7	is	be	AUX
ejpam-5845	242	8	defined	define	VERB
ejpam-5845	242	9	as	as	ADP
ejpam-5845	242	10	:	:	PUNCT
ejpam-5845	242	11	(	(	PUNCT
ejpam-5845	242	12	h̃	h̃	PROPN
ejpam-5845	242	13	,	,	PUNCT
ejpam-5845	242	14	é	é	PROPN
ejpam-5845	242	15	)	)	PUNCT
ejpam-5845	242	16	=	=	SYM
ejpam-5845	242	17	(	(	PUNCT
ejpam-5845	242	18	f̃	f̃	PROPN
ejpam-5845	242	19	,	,	PUNCT
ejpam-5845	242	20	é	é	PROPN
ejpam-5845	242	21	)	)	PUNCT
ejpam-5845	242	22	⋒	⋒	PUNCT
ejpam-5845	242	23	(	(	PUNCT
ejpam-5845	242	24	g̃	g̃	PROPN
ejpam-5845	242	25	,	,	PUNCT
ejpam-5845	242	26	é)c	é)c	NOUN
ejpam-5845	242	27	,	,	PUNCT
ejpam-5845	242	28	such	such	ADJ
ejpam-5845	242	29	that	that	SCONJ
ejpam-5845	242	30	(	(	PUNCT
ejpam-5845	242	31	h̃	h̃	PROPN
ejpam-5845	242	32	,	,	PUNCT
ejpam-5845	242	33	é	é	PROPN
ejpam-5845	242	34	)	)	PUNCT
ejpam-5845	242	35	=	=	PRON
ejpam-5845	242	36	{	{	PUNCT
ejpam-5845	242	37	(	(	PUNCT
ejpam-5845	242	38	e	e	NOUN
ejpam-5845	242	39	,	,	PUNCT
ejpam-5845	242	40	⟨s	⟨s	NOUN
ejpam-5845	242	41	,	,	PUNCT
ejpam-5845	242	42	abth̃(e)(s),reth̃(e)(s),refh̃(e)(s),abfh̃(e)(s)⟩	abth̃(e)(s),reth̃(e)(s),refh̃(e)(s),abfh̃(e)(s)⟩	NOUN
ejpam-5845	242	43	)	)	PUNCT
ejpam-5845	242	44	:	:	PUNCT
ejpam-5845	243	1	s	s	VERB
ejpam-5845	243	2	∈	∈	PROPN
ejpam-5845	243	3	m	m	PRON
ejpam-5845	243	4	,	,	PUNCT
ejpam-5845	243	5	e	e	PROPN
ejpam-5845	243	6	∈	∈	PROPN
ejpam-5845	243	7	é	é	PROPN
ejpam-5845	243	8	}	}	PUNCT
ejpam-5845	243	9	.	.	PUNCT
ejpam-5845	244	1	where	where	SCONJ
ejpam-5845	244	2	abth̃(e)(s	abth̃(e)(s	NOUN
ejpam-5845	244	3	)	)	PUNCT
ejpam-5845	244	4	=	=	SYM
ejpam-5845	244	5	min	min	NOUN
ejpam-5845	244	6	{	{	PUNCT
ejpam-5845	244	7	abtf̃	abtf̃	PROPN
ejpam-5845	244	8	(	(	PUNCT
ejpam-5845	244	9	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	244	10	)	)	PUNCT
ejpam-5845	244	11	}	}	PUNCT
ejpam-5845	244	12	,	,	PUNCT
ejpam-5845	244	13	reth̃(e)(s	reth̃(e)(s	NOUN
ejpam-5845	244	14	)	)	PUNCT
ejpam-5845	244	15	=	=	SYM
ejpam-5845	244	16	min	min	NOUN
ejpam-5845	244	17	{	{	PUNCT
ejpam-5845	244	18	retf̃	retf̃	NOUN
ejpam-5845	244	19	(	(	PUNCT
ejpam-5845	244	20	e)(s),retg̃(e)(s	e)(s),retg̃(e)(s	NOUN
ejpam-5845	244	21	)	)	PUNCT
ejpam-5845	244	22	}	}	PUNCT
ejpam-5845	244	23	,	,	PUNCT
ejpam-5845	244	24	refh̃(e)(s	refh̃(e)(s	NOUN
ejpam-5845	244	25	)	)	PUNCT
ejpam-5845	244	26	=	=	SYM
ejpam-5845	244	27	max	max	PROPN
ejpam-5845	244	28	{	{	PUNCT
ejpam-5845	244	29	reff̃	reff̃	PROPN
ejpam-5845	244	30	(	(	PUNCT
ejpam-5845	244	31	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	244	32	)	)	PUNCT
ejpam-5845	244	33	}	}	PUNCT
ejpam-5845	244	34	,	,	PUNCT
ejpam-5845	244	35	abfh̃(e)(s	abfh̃(e)(s	ADJ
ejpam-5845	244	36	)	)	PUNCT
ejpam-5845	244	37	=	=	SYM
ejpam-5845	244	38	max	max	PROPN
ejpam-5845	244	39	{	{	PUNCT
ejpam-5845	244	40	abff̃	abff̃	ADV
ejpam-5845	244	41	(	(	PUNCT
ejpam-5845	244	42	e)(s),abfg̃(e)(s	e)(s),abfg̃(e)(s	NOUN
ejpam-5845	244	43	)	)	PUNCT
ejpam-5845	244	44	}	}	PUNCT
ejpam-5845	244	45	.	.	PUNCT
ejpam-5845	245	1	definition	definition	NOUN
ejpam-5845	245	2	14	14	NUM
ejpam-5845	245	3	.	.	PUNCT
ejpam-5845	246	1	let	let	VERB
ejpam-5845	246	2	{	{	PUNCT
ejpam-5845	246	3	(	(	PUNCT
ejpam-5845	246	4	f̃i	f̃i	NOUN
ejpam-5845	246	5	,	,	PUNCT
ejpam-5845	246	6	é	é	PROPN
ejpam-5845	246	7	)	)	PUNCT
ejpam-5845	246	8	:	:	PUNCT
ejpam-5845	247	1	i	i	PRON
ejpam-5845	247	2	∈	∈	VERB
ejpam-5845	247	3	i	i	PRON
ejpam-5845	247	4	}	}	PUNCT
ejpam-5845	247	5	be	be	VERB
ejpam-5845	247	6	a	a	DET
ejpam-5845	247	7	family	family	NOUN
ejpam-5845	247	8	of	of	ADP
ejpam-5845	247	9	quadri	quadri	NOUN
ejpam-5845	247	10	-	-	PUNCT
ejpam-5845	247	11	partitioned	partition	VERB
ejpam-5845	247	12	neutrosophic	neutrosophic	ADJ
ejpam-5845	247	13	soft	soft	ADJ
ejpam-5845	247	14	sets	set	NOUN
ejpam-5845	247	15	over	over	ADP
ejpam-5845	247	16	the	the	DET
ejpam-5845	247	17	key	key	ADJ
ejpam-5845	247	18	set	set	NOUN
ejpam-5845	247	19	m.	m.	NOUN
ejpam-5845	247	20	then	then	ADV
ejpam-5845	247	21	,	,	PUNCT
ejpam-5845	247	22	the	the	DET
ejpam-5845	247	23	union	union	NOUN
ejpam-5845	247	24	and	and	CCONJ
ejpam-5845	247	25	intersection	intersection	NOUN
ejpam-5845	247	26	of	of	ADP
ejpam-5845	247	27	this	this	DET
ejpam-5845	247	28	family	family	NOUN
ejpam-5845	247	29	are	be	AUX
ejpam-5845	247	30	defined	define	VERB
ejpam-5845	247	31	as	as	SCONJ
ejpam-5845	247	32	follows	follow	VERB
ejpam-5845	247	33	:	:	PUNCT
ejpam-5845	247	34	⋃	⋃	PROPN
ejpam-5845	247	35	i∈i	i∈i	ADJ
ejpam-5845	247	36	(	(	PUNCT
ejpam-5845	247	37	f̃i	f̃i	NOUN
ejpam-5845	247	38	,	,	PUNCT
ejpam-5845	247	39	é	é	PROPN
ejpam-5845	247	40	)	)	PUNCT
ejpam-5845	247	41	=	=	PRON
ejpam-5845	247	42	{	{	PUNCT
ejpam-5845	247	43	(	(	PUNCT
ejpam-5845	247	44	e	e	NOUN
ejpam-5845	247	45	,	,	PUNCT
ejpam-5845	247	46	⟨s	⟨s	VERB
ejpam-5845	247	47	,	,	PUNCT
ejpam-5845	247	48	sup	sup	NOUN
ejpam-5845	247	49	i∈i	i∈i	ADJ
ejpam-5845	247	50	abtf̃i(e	abtf̃i(e	PROPN
ejpam-5845	247	51	)	)	PUNCT
ejpam-5845	247	52	(	(	PUNCT
ejpam-5845	247	53	s	s	NOUN
ejpam-5845	247	54	)	)	PUNCT
ejpam-5845	247	55	,	,	PUNCT
ejpam-5845	247	56	sup	sup	NOUN
ejpam-5845	247	57	i∈i	i∈i	ADJ
ejpam-5845	247	58	retf̃i(e	retf̃i(e	NOUN
ejpam-5845	247	59	)	)	PUNCT
ejpam-5845	247	60	(	(	PUNCT
ejpam-5845	247	61	s	s	NOUN
ejpam-5845	247	62	)	)	PUNCT
ejpam-5845	247	63	,	,	PUNCT
ejpam-5845	247	64	inf	inf	PROPN
ejpam-5845	247	65	i∈i	i∈i	PROPN
ejpam-5845	247	66	reff̃i(e	reff̃i(e	PROPN
ejpam-5845	247	67	)	)	PUNCT
ejpam-5845	247	68	(	(	PUNCT
ejpam-5845	247	69	s	s	NOUN
ejpam-5845	247	70	)	)	PUNCT
ejpam-5845	247	71	,	,	PUNCT
ejpam-5845	247	72	inf	inf	PROPN
ejpam-5845	247	73	i∈i	i∈i	ADJ
ejpam-5845	247	74	abff̃i(e	abff̃i(e	PROPN
ejpam-5845	247	75	)	)	PUNCT
ejpam-5845	247	76	(	(	PUNCT
ejpam-5845	247	77	s)⟩	s)⟩	NOUN
ejpam-5845	247	78	)	)	PUNCT
ejpam-5845	247	79	:	:	PUNCT
ejpam-5845	248	1	s	s	VERB
ejpam-5845	248	2	∈	∈	PROPN
ejpam-5845	248	3	m	m	PRON
ejpam-5845	248	4	,	,	PUNCT
ejpam-5845	248	5	e	e	PROPN
ejpam-5845	248	6	∈	∈	PROPN
ejpam-5845	248	7	é	é	PROPN
ejpam-5845	248	8	}	}	PUNCT
ejpam-5845	248	9	.	.	PUNCT
ejpam-5845	249	1	⋂	⋂	PROPN
ejpam-5845	249	2	i∈i	i∈i	ADJ
ejpam-5845	249	3	(	(	PUNCT
ejpam-5845	249	4	f̃i	f̃i	NOUN
ejpam-5845	249	5	,	,	PUNCT
ejpam-5845	249	6	é	é	PROPN
ejpam-5845	249	7	)	)	PUNCT
ejpam-5845	249	8	=	=	PRON
ejpam-5845	249	9	{	{	PUNCT
ejpam-5845	249	10	(	(	PUNCT
ejpam-5845	249	11	e	e	NOUN
ejpam-5845	249	12	,	,	PUNCT
ejpam-5845	249	13	⟨s	⟨s	PROPN
ejpam-5845	249	14	,	,	PUNCT
ejpam-5845	249	15	inf	inf	PROPN
ejpam-5845	249	16	i∈i	i∈i	ADJ
ejpam-5845	249	17	abtf̃i(e	abtf̃i(e	PROPN
ejpam-5845	249	18	)	)	PUNCT
ejpam-5845	249	19	(	(	PUNCT
ejpam-5845	249	20	s	s	NOUN
ejpam-5845	249	21	)	)	PUNCT
ejpam-5845	249	22	,	,	PUNCT
ejpam-5845	249	23	inf	inf	PROPN
ejpam-5845	249	24	i∈i	i∈i	ADJ
ejpam-5845	249	25	retf̃i(e	retf̃i(e	PROPN
ejpam-5845	249	26	)	)	PUNCT
ejpam-5845	249	27	(	(	PUNCT
ejpam-5845	249	28	s	s	NOUN
ejpam-5845	249	29	)	)	PUNCT
ejpam-5845	249	30	,	,	PUNCT
ejpam-5845	249	31	sup	sup	NOUN
ejpam-5845	249	32	i∈i	i∈i	PROPN
ejpam-5845	249	33	reff̃i(e	reff̃i(e	PROPN
ejpam-5845	249	34	)	)	PUNCT
ejpam-5845	249	35	(	(	PUNCT
ejpam-5845	249	36	s	s	NOUN
ejpam-5845	249	37	)	)	PUNCT
ejpam-5845	249	38	,	,	PUNCT
ejpam-5845	249	39	sup	sup	NOUN
ejpam-5845	249	40	i∈i	i∈i	ADJ
ejpam-5845	249	41	abff̃i(e	abff̃i(e	PROPN
ejpam-5845	249	42	)	)	PUNCT
ejpam-5845	249	43	(	(	PUNCT
ejpam-5845	249	44	s)⟩	s)⟩	NOUN
ejpam-5845	249	45	)	)	PUNCT
ejpam-5845	249	46	:	:	PUNCT
ejpam-5845	249	47	s	s	VERB
ejpam-5845	249	48	∈	∈	PROPN
ejpam-5845	249	49	m	m	PRON
ejpam-5845	249	50	,	,	PUNCT
ejpam-5845	249	51	e	e	PROPN
ejpam-5845	249	52	∈	∈	PROPN
ejpam-5845	249	53	é	é	PROPN
ejpam-5845	249	54	}	}	PUNCT
ejpam-5845	249	55	.	.	PUNCT
ejpam-5845	250	1	definition	definition	NOUN
ejpam-5845	250	2	15	15	NUM
ejpam-5845	250	3	.	.	PUNCT
ejpam-5845	251	1	let	let	VERB
ejpam-5845	251	2	(	(	PUNCT
ejpam-5845	251	3	f̃	f̃	PROPN
ejpam-5845	251	4	,	,	PUNCT
ejpam-5845	251	5	é	é	PROPN
ejpam-5845	251	6	)	)	PUNCT
ejpam-5845	251	7	and	and	CCONJ
ejpam-5845	251	8	(	(	PUNCT
ejpam-5845	251	9	g̃	g̃	PROPN
ejpam-5845	251	10	,	,	PUNCT
ejpam-5845	251	11	é	é	PROPN
ejpam-5845	251	12	)	)	PUNCT
ejpam-5845	251	13	be	be	VERB
ejpam-5845	251	14	two	two	NUM
ejpam-5845	251	15	quadri	quadri	NOUN
ejpam-5845	251	16	-	-	PUNCT
ejpam-5845	251	17	partitioned	partition	VERB
ejpam-5845	251	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	251	19	soft	soft	ADJ
ejpam-5845	251	20	sets	set	NOUN
ejpam-5845	251	21	over	over	ADP
ejpam-5845	251	22	the	the	DET
ejpam-5845	251	23	key	key	ADJ
ejpam-5845	251	24	set	set	NOUN
ejpam-5845	251	25	m.	m.	NOUN
ejpam-5845	251	26	then	then	ADV
ejpam-5845	251	27	,	,	PUNCT
ejpam-5845	251	28	the	the	DET
ejpam-5845	251	29	“	"	PUNCT
ejpam-5845	251	30	and	and	CCONJ
ejpam-5845	251	31	”	"	PUNCT
ejpam-5845	251	32	operation	operation	NOUN
ejpam-5845	251	33	on	on	ADP
ejpam-5845	251	34	them	they	PRON
ejpam-5845	251	35	is	be	AUX
ejpam-5845	251	36	denoted	denote	VERB
ejpam-5845	251	37	by	by	ADP
ejpam-5845	251	38	(	(	PUNCT
ejpam-5845	251	39	f̃	f̃	PROPN
ejpam-5845	251	40	,	,	PUNCT
ejpam-5845	251	41	é	é	PROPN
ejpam-5845	251	42	)	)	PUNCT
ejpam-5845	251	43	∧	∧	PROPN
ejpam-5845	251	44	(	(	PUNCT
ejpam-5845	251	45	g̃	g̃	PROPN
ejpam-5845	251	46	,	,	PUNCT
ejpam-5845	251	47	é	é	PROPN
ejpam-5845	251	48	)	)	PUNCT
ejpam-5845	251	49	=	=	SYM
ejpam-5845	251	50	(	(	PUNCT
ejpam-5845	251	51	h̃	h̃	PROPN
ejpam-5845	251	52	,	,	PUNCT
ejpam-5845	251	53	é	é	PROPN
ejpam-5845	251	54	×	×	PROPN
ejpam-5845	251	55	e	e	NOUN
ejpam-5845	251	56	)	)	PUNCT
ejpam-5845	251	57	and	and	CCONJ
ejpam-5845	251	58	is	be	AUX
ejpam-5845	251	59	defined	define	VERB
ejpam-5845	251	60	as	as	ADP
ejpam-5845	251	61	:	:	PUNCT
ejpam-5845	251	62	(	(	PUNCT
ejpam-5845	251	63	h̃	h̃	PROPN
ejpam-5845	251	64	,	,	PUNCT
ejpam-5845	251	65	é×e	é×e	NOUN
ejpam-5845	251	66	)	)	PUNCT
ejpam-5845	251	67	=	=	PRON
ejpam-5845	251	68	{	{	PUNCT
ejpam-5845	251	69	(	(	PUNCT
ejpam-5845	251	70	(	(	PUNCT
ejpam-5845	251	71	e1	e1	PROPN
ejpam-5845	251	72	,	,	PUNCT
ejpam-5845	251	73	e2	e2	PROPN
ejpam-5845	251	74	)	)	PUNCT
ejpam-5845	251	75	,	,	PUNCT
ejpam-5845	251	76	⟨s	⟨s	NOUN
ejpam-5845	251	77	,	,	PUNCT
ejpam-5845	251	78	abth̃(e1	abth̃(e1	ADV
ejpam-5845	251	79	,	,	PUNCT
ejpam-5845	251	80	e2)(s),reth̃(e1	e2)(s),reth̃(e1	PROPN
ejpam-5845	251	81	,	,	PUNCT
ejpam-5845	251	82	e2)(s),refh̃(e1	e2)(s),refh̃(e1	PROPN
ejpam-5845	251	83	,	,	PUNCT
ejpam-5845	251	84	e2)(s),abfh̃(e1	e2)(s),abfh̃(e1	NOUN
ejpam-5845	251	85	,	,	PUNCT
ejpam-5845	251	86	e2)(s)⟩	e2)(s)⟩	NOUN
ejpam-5845	251	87	)	)	PUNCT
ejpam-5845	251	88	:	:	PUNCT
ejpam-5845	251	89	(	(	PUNCT
ejpam-5845	251	90	e1	e1	NOUN
ejpam-5845	251	91	,	,	PUNCT
ejpam-5845	251	92	e2	e2	NOUN
ejpam-5845	251	93	)	)	PUNCT
ejpam-5845	251	94	∈	∈	PROPN
ejpam-5845	251	95	e×	e×	PROPN
ejpam-5845	251	96	e	e	NOUN
ejpam-5845	251	97	,	,	PUNCT
ejpam-5845	251	98	s	s	PART
ejpam-5845	251	99	∈	∈	PROPN
ejpam-5845	251	100	m	m	NOUN
ejpam-5845	251	101	}	}	PUNCT
ejpam-5845	251	102	.	.	PUNCT
ejpam-5845	252	1	where	where	SCONJ
ejpam-5845	252	2	abth̃(e)(s	abth̃(e)(s	NOUN
ejpam-5845	252	3	)	)	PUNCT
ejpam-5845	252	4	=	=	SYM
ejpam-5845	252	5	min	min	NOUN
ejpam-5845	252	6	{	{	PUNCT
ejpam-5845	252	7	abtf̃	abtf̃	PROPN
ejpam-5845	252	8	(	(	PUNCT
ejpam-5845	252	9	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	252	10	)	)	PUNCT
ejpam-5845	252	11	}	}	PUNCT
ejpam-5845	252	12	,	,	PUNCT
ejpam-5845	252	13	m.	m.	NOUN
ejpam-5845	252	14	m.	m.	PROPN
ejpam-5845	252	15	saeed	saeed	PROPN
ejpam-5845	252	16	et	et	PROPN
ejpam-5845	252	17	al	al	PROPN
ejpam-5845	252	18	.	.	PUNCT
ejpam-5845	252	19	/	/	SYM
ejpam-5845	252	20	eur	eur	PROPN
ejpam-5845	252	21	.	.	PUNCT
ejpam-5845	253	1	j.	j.	PROPN
ejpam-5845	253	2	pure	pure	PROPN
ejpam-5845	253	3	appl	appl	PROPN
ejpam-5845	253	4	.	.	PROPN
ejpam-5845	253	5	math	math	PROPN
ejpam-5845	253	6	,	,	PUNCT
ejpam-5845	253	7	18	18	NUM
ejpam-5845	253	8	(	(	PUNCT
ejpam-5845	253	9	2	2	NUM
ejpam-5845	253	10	)	)	PUNCT
ejpam-5845	253	11	(	(	PUNCT
ejpam-5845	253	12	2025	2025	NUM
ejpam-5845	253	13	)	)	PUNCT
ejpam-5845	253	14	,	,	PUNCT
ejpam-5845	253	15	5845	5845	NUM
ejpam-5845	253	16	9	9	NUM
ejpam-5845	253	17	of	of	ADP
ejpam-5845	253	18	32	32	NUM
ejpam-5845	253	19	reth̃(e)(s	reth̃(e)(s	NOUN
ejpam-5845	253	20	)	)	PUNCT
ejpam-5845	254	1	=	=	SYM
ejpam-5845	254	2	min	min	NOUN
ejpam-5845	254	3	{	{	PUNCT
ejpam-5845	254	4	retf̃	retf̃	NOUN
ejpam-5845	254	5	(	(	PUNCT
ejpam-5845	254	6	e)(s),retg̃(e)(s	e)(s),retg̃(e)(s	NOUN
ejpam-5845	254	7	)	)	PUNCT
ejpam-5845	254	8	}	}	PUNCT
ejpam-5845	254	9	,	,	PUNCT
ejpam-5845	254	10	refh̃(e)(s	refh̃(e)(s	NOUN
ejpam-5845	254	11	)	)	PUNCT
ejpam-5845	254	12	=	=	SYM
ejpam-5845	254	13	max	max	PROPN
ejpam-5845	254	14	{	{	PUNCT
ejpam-5845	254	15	reff̃	reff̃	PROPN
ejpam-5845	254	16	(	(	PUNCT
ejpam-5845	254	17	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	254	18	)	)	PUNCT
ejpam-5845	254	19	}	}	PUNCT
ejpam-5845	254	20	,	,	PUNCT
ejpam-5845	254	21	abfh̃(e)(s	abfh̃(e)(s	ADJ
ejpam-5845	254	22	)	)	PUNCT
ejpam-5845	254	23	=	=	SYM
ejpam-5845	254	24	max	max	PROPN
ejpam-5845	254	25	{	{	PUNCT
ejpam-5845	254	26	abff̃	abff̃	ADV
ejpam-5845	254	27	(	(	PUNCT
ejpam-5845	254	28	e)(s),abfg̃(e)(s	e)(s),abfg̃(e)(s	NOUN
ejpam-5845	254	29	)	)	PUNCT
ejpam-5845	254	30	}	}	PUNCT
ejpam-5845	254	31	.	.	PUNCT
ejpam-5845	255	1	definition	definition	NOUN
ejpam-5845	255	2	16	16	NUM
ejpam-5845	255	3	.	.	PUNCT
ejpam-5845	256	1	let	let	VERB
ejpam-5845	256	2	(	(	PUNCT
ejpam-5845	256	3	f̃	f̃	PROPN
ejpam-5845	256	4	,	,	PUNCT
ejpam-5845	256	5	é	é	PROPN
ejpam-5845	256	6	)	)	PUNCT
ejpam-5845	256	7	and	and	CCONJ
ejpam-5845	256	8	(	(	PUNCT
ejpam-5845	256	9	g̃	g̃	PROPN
ejpam-5845	256	10	,	,	PUNCT
ejpam-5845	256	11	é	é	PROPN
ejpam-5845	256	12	)	)	PUNCT
ejpam-5845	256	13	be	be	VERB
ejpam-5845	256	14	two	two	NUM
ejpam-5845	256	15	quadri	quadri	NOUN
ejpam-5845	256	16	-	-	PUNCT
ejpam-5845	256	17	partitioned	partition	VERB
ejpam-5845	256	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	256	19	soft	soft	ADJ
ejpam-5845	256	20	sets	set	NOUN
ejpam-5845	256	21	over	over	ADP
ejpam-5845	256	22	the	the	DET
ejpam-5845	256	23	key	key	ADJ
ejpam-5845	256	24	set	set	NOUN
ejpam-5845	256	25	m.	m.	NOUN
ejpam-5845	256	26	then	then	ADV
ejpam-5845	256	27	,	,	PUNCT
ejpam-5845	256	28	the	the	DET
ejpam-5845	256	29	“	"	PUNCT
ejpam-5845	256	30	or	or	CCONJ
ejpam-5845	256	31	”	"	PUNCT
ejpam-5845	256	32	operation	operation	NOUN
ejpam-5845	256	33	on	on	ADP
ejpam-5845	256	34	them	they	PRON
ejpam-5845	256	35	is	be	AUX
ejpam-5845	256	36	denoted	denote	VERB
ejpam-5845	256	37	by	by	ADP
ejpam-5845	256	38	(	(	PUNCT
ejpam-5845	256	39	f̃	f̃	PROPN
ejpam-5845	256	40	,	,	PUNCT
ejpam-5845	256	41	é)∨	é)∨	X
ejpam-5845	256	42	(	(	PUNCT
ejpam-5845	256	43	g̃	g̃	PROPN
ejpam-5845	256	44	,	,	PUNCT
ejpam-5845	256	45	é	é	PROPN
ejpam-5845	256	46	)	)	PUNCT
ejpam-5845	256	47	=	=	SYM
ejpam-5845	256	48	(	(	PUNCT
ejpam-5845	256	49	h̃	h̃	PROPN
ejpam-5845	256	50	,	,	PUNCT
ejpam-5845	256	51	é	é	PROPN
ejpam-5845	256	52	×	×	PROPN
ejpam-5845	256	53	e	e	NOUN
ejpam-5845	256	54	)	)	PUNCT
ejpam-5845	256	55	and	and	CCONJ
ejpam-5845	256	56	is	be	AUX
ejpam-5845	256	57	defined	define	VERB
ejpam-5845	256	58	as	as	ADP
ejpam-5845	256	59	:	:	PUNCT
ejpam-5845	256	60	(	(	PUNCT
ejpam-5845	256	61	h̃	h̃	PROPN
ejpam-5845	256	62	,	,	PUNCT
ejpam-5845	256	63	é	é	PROPN
ejpam-5845	256	64	×	×	NOUN
ejpam-5845	256	65	e	e	NOUN
ejpam-5845	256	66	)	)	PUNCT
ejpam-5845	257	1	=	=	SYM
ejpam-5845	257	2	{	{	PUNCT
ejpam-5845	257	3	(	(	PUNCT
ejpam-5845	257	4	(	(	PUNCT
ejpam-5845	257	5	e1	e1	PROPN
ejpam-5845	257	6	,	,	PUNCT
ejpam-5845	257	7	e2	e2	PROPN
ejpam-5845	257	8	)	)	PUNCT
ejpam-5845	257	9	,	,	PUNCT
ejpam-5845	257	10	⟨s	⟨s	NOUN
ejpam-5845	257	11	,	,	PUNCT
ejpam-5845	257	12	abth̃(e1,e2	abth̃(e1,e2	VERB
ejpam-5845	257	13	)	)	PUNCT
ejpam-5845	257	14	(	(	PUNCT
ejpam-5845	257	15	s),reth̃(e1,e2	s),reth̃(e1,e2	PROPN
ejpam-5845	257	16	)	)	PUNCT
ejpam-5845	257	17	(	(	PUNCT
ejpam-5845	257	18	s	s	NOUN
ejpam-5845	257	19	)	)	PUNCT
ejpam-5845	257	20	,	,	PUNCT
ejpam-5845	257	21	refh̃(e1,e2	refh̃(e1,e2	PROPN
ejpam-5845	257	22	)	)	PUNCT
ejpam-5845	257	23	(	(	PUNCT
ejpam-5845	257	24	s),abfh̃(e1,e2	s),abfh̃(e1,e2	PROPN
ejpam-5845	257	25	)	)	PUNCT
ejpam-5845	257	26	(	(	PUNCT
ejpam-5845	257	27	s)⟩	s)⟩	NOUN
ejpam-5845	257	28	)	)	PUNCT
ejpam-5845	257	29	:	:	PUNCT
ejpam-5845	257	30	(	(	PUNCT
ejpam-5845	257	31	e1	e1	NOUN
ejpam-5845	257	32	,	,	PUNCT
ejpam-5845	257	33	e2	e2	NOUN
ejpam-5845	257	34	)	)	PUNCT
ejpam-5845	257	35	∈	∈	PROPN
ejpam-5845	257	36	e×	e×	PROPN
ejpam-5845	258	1	e	e	NOUN
ejpam-5845	258	2	,	,	PUNCT
ejpam-5845	258	3	s	s	PART
ejpam-5845	258	4	∈	∈	PROPN
ejpam-5845	258	5	m	m	NOUN
ejpam-5845	258	6	}	}	PUNCT
ejpam-5845	258	7	.	.	PUNCT
ejpam-5845	259	1	where	where	SCONJ
ejpam-5845	259	2	abth̃(e)(s	abth̃(e)(s	NOUN
ejpam-5845	259	3	)	)	PUNCT
ejpam-5845	259	4	=	=	SYM
ejpam-5845	259	5	max	max	PROPN
ejpam-5845	259	6	{	{	PUNCT
ejpam-5845	259	7	abtf̃	abtf̃	PROPN
ejpam-5845	259	8	(	(	PUNCT
ejpam-5845	259	9	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	259	10	)	)	PUNCT
ejpam-5845	259	11	}	}	PUNCT
ejpam-5845	259	12	,	,	PUNCT
ejpam-5845	259	13	reth̃(e)(s	reth̃(e)(s	NOUN
ejpam-5845	259	14	)	)	PUNCT
ejpam-5845	259	15	=	=	SYM
ejpam-5845	259	16	max	max	PROPN
ejpam-5845	259	17	{	{	PUNCT
ejpam-5845	259	18	retf̃	retf̃	NOUN
ejpam-5845	259	19	(	(	PUNCT
ejpam-5845	259	20	e)(s),retg̃(e)(s	e)(s),retg̃(e)(s	NOUN
ejpam-5845	259	21	)	)	PUNCT
ejpam-5845	259	22	}	}	PUNCT
ejpam-5845	259	23	,	,	PUNCT
ejpam-5845	259	24	refh̃(e)(s	refh̃(e)(s	NOUN
ejpam-5845	259	25	)	)	PUNCT
ejpam-5845	259	26	=	=	SYM
ejpam-5845	259	27	min	min	NOUN
ejpam-5845	259	28	{	{	PUNCT
ejpam-5845	259	29	reff̃	reff̃	PROPN
ejpam-5845	259	30	(	(	PUNCT
ejpam-5845	259	31	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	259	32	)	)	PUNCT
ejpam-5845	259	33	}	}	PUNCT
ejpam-5845	259	34	,	,	PUNCT
ejpam-5845	259	35	abfh̃(e)(s	abfh̃(e)(s	ADJ
ejpam-5845	259	36	)	)	PUNCT
ejpam-5845	259	37	=	=	SYM
ejpam-5845	259	38	min	min	NOUN
ejpam-5845	259	39	{	{	PUNCT
ejpam-5845	259	40	abff̃	abff̃	ADV
ejpam-5845	259	41	(	(	PUNCT
ejpam-5845	259	42	e)(s),abfg̃(e)(s	e)(s),abfg̃(e)(s	NOUN
ejpam-5845	259	43	)	)	PUNCT
ejpam-5845	259	44	}	}	PUNCT
ejpam-5845	259	45	.	.	PUNCT
ejpam-5845	260	1	definition	definition	NOUN
ejpam-5845	260	2	17	17	NUM
ejpam-5845	260	3	.	.	PUNCT
ejpam-5845	261	1	the	the	DET
ejpam-5845	261	2	quadri	quadri	NOUN
ejpam-5845	261	3	-	-	PUNCT
ejpam-5845	261	4	partitioned	partition	VERB
ejpam-5845	261	5	neutrosophic	neutrosophic	ADJ
ejpam-5845	261	6	soft	soft	ADJ
ejpam-5845	261	7	set	set	NOUN
ejpam-5845	261	8	(	(	PUNCT
ejpam-5845	261	9	f̃	f̃	PROPN
ejpam-5845	261	10	,	,	PUNCT
ejpam-5845	261	11	é	é	PROPN
ejpam-5845	261	12	)	)	PUNCT
ejpam-5845	261	13	over	over	ADP
ejpam-5845	261	14	the	the	DET
ejpam-5845	261	15	key	key	ADJ
ejpam-5845	261	16	set	set	NOUN
ejpam-5845	261	17	m	m	NOUN
ejpam-5845	261	18	is	be	AUX
ejpam-5845	261	19	said	say	VERB
ejpam-5845	261	20	to	to	PART
ejpam-5845	261	21	be	be	AUX
ejpam-5845	261	22	a	a	DET
ejpam-5845	261	23	null	null	ADJ
ejpam-5845	261	24	quadri	quadri	NOUN
ejpam-5845	261	25	-	-	PUNCT
ejpam-5845	261	26	partitioned	partition	VERB
ejpam-5845	261	27	neutrosophic	neutrosophic	ADJ
ejpam-5845	261	28	soft	soft	ADJ
ejpam-5845	261	29	set	set	NOUN
ejpam-5845	261	30	if	if	SCONJ
ejpam-5845	261	31	abtf̃	abtf̃	ADV
ejpam-5845	261	32	(	(	PUNCT
ejpam-5845	261	33	e)(s	e)(s	NOUN
ejpam-5845	261	34	)	)	PUNCT
ejpam-5845	261	35	=	=	SYM
ejpam-5845	262	1	0	0	NUM
ejpam-5845	262	2	,	,	PUNCT
ejpam-5845	262	3	retf̃	retf̃	NOUN
ejpam-5845	262	4	(	(	PUNCT
ejpam-5845	262	5	e)(s	e)(s	NOUN
ejpam-5845	262	6	)	)	PUNCT
ejpam-5845	262	7	=	=	SYM
ejpam-5845	262	8	0	0	NUM
ejpam-5845	262	9	,	,	PUNCT
ejpam-5845	262	10	∀e	∀e	PROPN
ejpam-5845	262	11	∈	∈	PROPN
ejpam-5845	262	12	é,∀s	é,∀s	PROPN
ejpam-5845	262	13	∈	∈	PROPN
ejpam-5845	262	14	m	m	PROPN
ejpam-5845	262	15	,	,	PUNCT
ejpam-5845	262	16	reff̃	reff̃	PROPN
ejpam-5845	262	17	(	(	PUNCT
ejpam-5845	262	18	e)(s	e)(s	NOUN
ejpam-5845	262	19	)	)	PUNCT
ejpam-5845	262	20	=	=	SYM
ejpam-5845	262	21	1	1	NUM
ejpam-5845	262	22	,	,	PUNCT
ejpam-5845	262	23	abff̃	abff̃	ADV
ejpam-5845	262	24	(	(	PUNCT
ejpam-5845	262	25	e)(s	e)(s	NOUN
ejpam-5845	262	26	)	)	PUNCT
ejpam-5845	262	27	=	=	SYM
ejpam-5845	262	28	1	1	X
ejpam-5845	262	29	,	,	PUNCT
ejpam-5845	262	30	∀e	∀e	PROPN
ejpam-5845	262	31	∈	∈	PROPN
ejpam-5845	262	32	é,∀s	é,∀s	PROPN
ejpam-5845	262	33	∈	∈	PROPN
ejpam-5845	262	34	m.	m.	NOUN
ejpam-5845	262	35	it	it	PRON
ejpam-5845	262	36	is	be	AUX
ejpam-5845	262	37	denoted	denote	VERB
ejpam-5845	262	38	as	as	ADP
ejpam-5845	262	39	0(m	0(m	NUM
ejpam-5845	262	40	,	,	PUNCT
ejpam-5845	262	41	é	é	PROPN
ejpam-5845	262	42	)	)	PUNCT
ejpam-5845	262	43	.	.	PUNCT
ejpam-5845	263	1	definition	definition	NOUN
ejpam-5845	263	2	18	18	NUM
ejpam-5845	263	3	.	.	PUNCT
ejpam-5845	264	1	a	a	DET
ejpam-5845	264	2	quadri	quadri	NOUN
ejpam-5845	264	3	-	-	PUNCT
ejpam-5845	264	4	partitioned	partition	VERB
ejpam-5845	264	5	neutrosophic	neutrosophic	ADJ
ejpam-5845	264	6	soft	soft	ADJ
ejpam-5845	264	7	set	set	NOUN
ejpam-5845	264	8	(	(	PUNCT
ejpam-5845	264	9	f̃	f̃	PROPN
ejpam-5845	264	10	,	,	PUNCT
ejpam-5845	264	11	é	é	PROPN
ejpam-5845	264	12	)	)	PUNCT
ejpam-5845	264	13	over	over	ADP
ejpam-5845	264	14	the	the	DET
ejpam-5845	264	15	key	key	ADJ
ejpam-5845	264	16	set	set	NOUN
ejpam-5845	264	17	m	m	VERB
ejpam-5845	264	18	is	be	AUX
ejpam-5845	264	19	called	call	VERB
ejpam-5845	264	20	an	an	DET
ejpam-5845	264	21	absolute	absolute	ADJ
ejpam-5845	264	22	quadri	quadri	NOUN
ejpam-5845	264	23	-	-	PUNCT
ejpam-5845	264	24	partitioned	partition	VERB
ejpam-5845	264	25	neutrosophic	neutrosophic	ADJ
ejpam-5845	264	26	soft	soft	ADJ
ejpam-5845	264	27	set	set	NOUN
ejpam-5845	264	28	if	if	SCONJ
ejpam-5845	264	29	abtf̃	abtf̃	ADV
ejpam-5845	264	30	(	(	PUNCT
ejpam-5845	264	31	e)(s	e)(s	NOUN
ejpam-5845	264	32	)	)	PUNCT
ejpam-5845	264	33	=	=	SYM
ejpam-5845	265	1	1	1	NUM
ejpam-5845	265	2	,	,	PUNCT
ejpam-5845	265	3	retf̃	retf̃	NOUN
ejpam-5845	265	4	(	(	PUNCT
ejpam-5845	265	5	e)(s	e)(s	NOUN
ejpam-5845	265	6	)	)	PUNCT
ejpam-5845	265	7	=	=	SYM
ejpam-5845	266	1	1	1	X
ejpam-5845	266	2	,	,	PUNCT
ejpam-5845	266	3	∀e	∀e	PROPN
ejpam-5845	266	4	∈	∈	PROPN
ejpam-5845	266	5	é,∀s	é,∀s	PROPN
ejpam-5845	266	6	∈	∈	PROPN
ejpam-5845	266	7	m	m	PROPN
ejpam-5845	266	8	,	,	PUNCT
ejpam-5845	266	9	reff̃	reff̃	PROPN
ejpam-5845	266	10	(	(	PUNCT
ejpam-5845	266	11	e)(s	e)(s	NOUN
ejpam-5845	266	12	)	)	PUNCT
ejpam-5845	266	13	=	=	SYM
ejpam-5845	266	14	0	0	NUM
ejpam-5845	266	15	,	,	PUNCT
ejpam-5845	266	16	abff̃	abff̃	ADV
ejpam-5845	266	17	(	(	PUNCT
ejpam-5845	266	18	e)(s	e)(s	NOUN
ejpam-5845	266	19	)	)	PUNCT
ejpam-5845	266	20	=	=	SYM
ejpam-5845	266	21	0	0	NUM
ejpam-5845	266	22	,	,	PUNCT
ejpam-5845	266	23	∀e	∀e	PROPN
ejpam-5845	266	24	∈	∈	PROPN
ejpam-5845	266	25	é,∀s	é,∀s	PROPN
ejpam-5845	266	26	∈	∈	PROPN
ejpam-5845	266	27	m.	m.	NOUN
ejpam-5845	266	28	clearly	clearly	ADV
ejpam-5845	266	29	,	,	PUNCT
ejpam-5845	266	30	0c	0c	X
ejpam-5845	266	31	(	(	PUNCT
ejpam-5845	266	32	m	m	NOUN
ejpam-5845	266	33	,	,	PUNCT
ejpam-5845	266	34	é	é	PROPN
ejpam-5845	266	35	)	)	PUNCT
ejpam-5845	266	36	=	=	SYM
ejpam-5845	266	37	1(m	1(m	NUM
ejpam-5845	266	38	,	,	PUNCT
ejpam-5845	266	39	é	é	PROPN
ejpam-5845	266	40	)	)	PUNCT
ejpam-5845	266	41	,	,	PUNCT
ejpam-5845	266	42	1c	1c	NUM
ejpam-5845	266	43	(	(	PUNCT
ejpam-5845	266	44	m	m	NOUN
ejpam-5845	266	45	,	,	PUNCT
ejpam-5845	266	46	é	é	PROPN
ejpam-5845	266	47	)	)	PUNCT
ejpam-5845	266	48	=	=	SYM
ejpam-5845	266	49	0(m	0(m	NUM
ejpam-5845	266	50	,	,	PUNCT
ejpam-5845	266	51	é	é	PROPN
ejpam-5845	266	52	)	)	PUNCT
ejpam-5845	266	53	.	.	PUNCT
ejpam-5845	267	1	definition	definition	NOUN
ejpam-5845	267	2	19	19	NUM
ejpam-5845	267	3	.	.	PUNCT
ejpam-5845	268	1	the	the	DET
ejpam-5845	268	2	family	family	NOUN
ejpam-5845	268	3	of	of	ADP
ejpam-5845	268	4	all	all	DET
ejpam-5845	268	5	quadri	quadri	NOUN
ejpam-5845	268	6	-	-	PUNCT
ejpam-5845	268	7	partitioned	partition	VERB
ejpam-5845	268	8	neutrosophic	neutrosophic	ADJ
ejpam-5845	268	9	soft	soft	ADJ
ejpam-5845	268	10	sets	set	NOUN
ejpam-5845	268	11	over	over	ADP
ejpam-5845	268	12	m	m	PROPN
ejpam-5845	268	13	is	be	AUX
ejpam-5845	268	14	designated	designate	VERB
ejpam-5845	268	15	as	as	ADP
ejpam-5845	268	16	pnss(m	pnss(m	PROPN
ejpam-5845	268	17	)	)	PUNCT
ejpam-5845	268	18	.	.	PUNCT
ejpam-5845	269	1	a	a	DET
ejpam-5845	269	2	qpns	qpns	NOUN
ejpam-5845	269	3	point	point	NOUN
ejpam-5845	269	4	for	for	ADP
ejpam-5845	269	5	every	every	DET
ejpam-5845	269	6	point	point	NOUN
ejpam-5845	269	7	s	s	VERB
ejpam-5845	269	8	∈	∈	NOUN
ejpam-5845	269	9	m	m	VERB
ejpam-5845	269	10	is	be	AUX
ejpam-5845	269	11	defined	define	VERB
ejpam-5845	269	12	as	as	ADP
ejpam-5845	269	13	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	ADJ
ejpam-5845	269	14	for	for	ADP
ejpam-5845	269	15	0	0	NUM
ejpam-5845	269	16	⪯	⪯	PROPN
ejpam-5845	269	17	p1	p1	PROPN
ejpam-5845	269	18	,	,	PUNCT
ejpam-5845	269	19	p2	p2	NOUN
ejpam-5845	269	20	,	,	PUNCT
ejpam-5845	269	21	p3	p3	NOUN
ejpam-5845	269	22	,	,	PUNCT
ejpam-5845	269	23	p4	p4	ADJ
ejpam-5845	269	24	⪯	⪯	NOUN
ejpam-5845	269	25	1	1	NUM
ejpam-5845	269	26	,	,	PUNCT
ejpam-5845	269	27	e	e	PROPN
ejpam-5845	269	28	∈	∈	PROPN
ejpam-5845	269	29	é	é	PROPN
ejpam-5845	269	30	,	,	PUNCT
ejpam-5845	269	31	and	and	CCONJ
ejpam-5845	269	32	is	be	AUX
ejpam-5845	269	33	given	give	VERB
ejpam-5845	269	34	by	by	ADP
ejpam-5845	269	35	:	:	PUNCT
ejpam-5845	269	36	s⋋⟨p1,p2,p3,p4⟩(y	s⋋⟨p1,p2,p3,p4⟩(y	PROPN
ejpam-5845	269	37	)	)	PUNCT
ejpam-5845	269	38	=	=	PRON
ejpam-5845	269	39	{	{	PUNCT
ejpam-5845	269	40	⟨p1	⟨p1	NOUN
ejpam-5845	269	41	,	,	PUNCT
ejpam-5845	269	42	p2	p2	NOUN
ejpam-5845	269	43	,	,	PUNCT
ejpam-5845	269	44	p3	p3	PROPN
ejpam-5845	269	45	,	,	PUNCT
ejpam-5845	269	46	p4⟩	p4⟩	ADP
ejpam-5845	269	47	,	,	PUNCT
ejpam-5845	269	48	if	if	SCONJ
ejpam-5845	269	49	e	e	NOUN
ejpam-5845	269	50	=	=	SYM
ejpam-5845	269	51	e′	e′	PROPN
ejpam-5845	269	52	and	and	CCONJ
ejpam-5845	269	53	y	y	PROPN
ejpam-5845	269	54	=	=	SYM
ejpam-5845	269	55	s	s	PROPN
ejpam-5845	269	56	,	,	PUNCT
ejpam-5845	269	57	(	(	PUNCT
ejpam-5845	269	58	0	0	NUM
ejpam-5845	269	59	,	,	PUNCT
ejpam-5845	269	60	0	0	NUM
ejpam-5845	269	61	,	,	PUNCT
ejpam-5845	269	62	0	0	NUM
ejpam-5845	269	63	,	,	PUNCT
ejpam-5845	269	64	1	1	NUM
ejpam-5845	269	65	)	)	PUNCT
ejpam-5845	269	66	,	,	PUNCT
ejpam-5845	269	67	if	if	SCONJ
ejpam-5845	269	68	e′	e′	X
ejpam-5845	269	69	̸=	̸=	PROPN
ejpam-5845	269	70	e	e	PROPN
ejpam-5845	269	71	or	or	CCONJ
ejpam-5845	269	72	y	y	PROPN
ejpam-5845	269	73	̸=	̸=	PROPN
ejpam-5845	269	74	s.	s.	PROPN
ejpam-5845	269	75	m.	m.	PROPN
ejpam-5845	269	76	m.	m.	PROPN
ejpam-5845	269	77	saeed	saeed	PROPN
ejpam-5845	269	78	et	et	PROPN
ejpam-5845	269	79	al	al	PROPN
ejpam-5845	269	80	.	.	PUNCT
ejpam-5845	269	81	/	/	SYM
ejpam-5845	269	82	eur	eur	PROPN
ejpam-5845	269	83	.	.	PUNCT
ejpam-5845	270	1	j.	j.	PROPN
ejpam-5845	270	2	pure	pure	PROPN
ejpam-5845	270	3	appl	appl	PROPN
ejpam-5845	270	4	.	.	PROPN
ejpam-5845	270	5	math	math	PROPN
ejpam-5845	270	6	,	,	PUNCT
ejpam-5845	270	7	18	18	NUM
ejpam-5845	270	8	(	(	PUNCT
ejpam-5845	270	9	2	2	NUM
ejpam-5845	270	10	)	)	PUNCT
ejpam-5845	270	11	(	(	PUNCT
ejpam-5845	270	12	2025	2025	NUM
ejpam-5845	270	13	)	)	PUNCT
ejpam-5845	270	14	,	,	PUNCT
ejpam-5845	270	15	5845	5845	NUM
ejpam-5845	270	16	10	10	NUM
ejpam-5845	270	17	of	of	ADP
ejpam-5845	270	18	32	32	NUM
ejpam-5845	270	19	definition	definition	NOUN
ejpam-5845	270	20	20	20	NUM
ejpam-5845	270	21	.	.	PUNCT
ejpam-5845	271	1	let	let	VERB
ejpam-5845	271	2	(	(	PUNCT
ejpam-5845	271	3	f̃	f̃	PROPN
ejpam-5845	271	4	,	,	PUNCT
ejpam-5845	271	5	é	é	PROPN
ejpam-5845	271	6	)	)	PUNCT
ejpam-5845	271	7	be	be	VERB
ejpam-5845	271	8	a	a	DET
ejpam-5845	271	9	quadri	quadri	NOUN
ejpam-5845	271	10	-	-	PUNCT
ejpam-5845	271	11	partitioned	partition	VERB
ejpam-5845	271	12	neutrosophic	neutrosophic	ADJ
ejpam-5845	271	13	soft	soft	ADJ
ejpam-5845	271	14	set	set	NOUN
ejpam-5845	271	15	over	over	ADP
ejpam-5845	271	16	the	the	DET
ejpam-5845	271	17	key	key	ADJ
ejpam-5845	271	18	set	set	NOUN
ejpam-5845	271	19	m.	m.	NOUN
ejpam-5845	272	1	a	a	DET
ejpam-5845	272	2	point	point	NOUN
ejpam-5845	272	3	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	ADJ
ejpam-5845	272	4	∈	∈	PROPN
ejpam-5845	272	5	qpnss(f̃	qpnss(f̃	NOUN
ejpam-5845	272	6	,	,	PUNCT
ejpam-5845	272	7	é	é	PROPN
ejpam-5845	272	8	)	)	PUNCT
ejpam-5845	272	9	if	if	SCONJ
ejpam-5845	272	10	p1	p1	PROPN
ejpam-5845	272	11	⪯	⪯	X
ejpam-5845	272	12	abtf̃	abtf̃	PUNCT
ejpam-5845	272	13	(	(	PUNCT
ejpam-5845	272	14	e)(s	e)(s	NOUN
ejpam-5845	272	15	)	)	PUNCT
ejpam-5845	272	16	,	,	PUNCT
ejpam-5845	272	17	p2	p2	PROPN
ejpam-5845	272	18	⪯	⪯	NOUN
ejpam-5845	272	19	retf̃	retf̃	NOUN
ejpam-5845	272	20	(	(	PUNCT
ejpam-5845	272	21	e)(s	e)(s	NOUN
ejpam-5845	272	22	)	)	PUNCT
ejpam-5845	272	23	,	,	PUNCT
ejpam-5845	273	1	p3	p3	NOUN
ejpam-5845	273	2	⪰	⪰	NOUN
ejpam-5845	273	3	reff̃	reff̃	PROPN
ejpam-5845	273	4	(	(	PUNCT
ejpam-5845	273	5	e)(s	e)(s	NOUN
ejpam-5845	273	6	)	)	PUNCT
ejpam-5845	273	7	,	,	PUNCT
ejpam-5845	273	8	p4	p4	ADJ
ejpam-5845	273	9	⪰	⪰	NOUN
ejpam-5845	273	10	abff̃	abff̃	ADP
ejpam-5845	273	11	(	(	PUNCT
ejpam-5845	273	12	e)(s	e)(s	NOUN
ejpam-5845	273	13	)	)	PUNCT
ejpam-5845	273	14	.	.	PUNCT
ejpam-5845	274	1	theorem	theorem	NOUN
ejpam-5845	274	2	1	1	NUM
ejpam-5845	274	3	.	.	PUNCT
ejpam-5845	275	1	let	let	VERB
ejpam-5845	275	2	(	(	PUNCT
ejpam-5845	275	3	f̃	f̃	PROPN
ejpam-5845	275	4	,	,	PUNCT
ejpam-5845	275	5	é	é	PROPN
ejpam-5845	275	6	)	)	PUNCT
ejpam-5845	275	7	,	,	PUNCT
ejpam-5845	275	8	(	(	PUNCT
ejpam-5845	275	9	g̃	g̃	PROPN
ejpam-5845	275	10	,	,	PUNCT
ejpam-5845	275	11	é	é	PROPN
ejpam-5845	275	12	)	)	PUNCT
ejpam-5845	275	13	,	,	PUNCT
ejpam-5845	275	14	and	and	CCONJ
ejpam-5845	275	15	(	(	PUNCT
ejpam-5845	275	16	h̃	h̃	PROPN
ejpam-5845	275	17	,	,	PUNCT
ejpam-5845	275	18	é	é	PROPN
ejpam-5845	275	19	)	)	PUNCT
ejpam-5845	275	20	be	be	VERB
ejpam-5845	275	21	quadri	quadri	NOUN
ejpam-5845	275	22	-	-	PUNCT
ejpam-5845	275	23	partitioned	partition	VERB
ejpam-5845	275	24	neutrosophic	neutrosophic	ADJ
ejpam-5845	275	25	soft	soft	ADJ
ejpam-5845	275	26	sets	set	NOUN
ejpam-5845	275	27	over	over	ADP
ejpam-5845	275	28	the	the	DET
ejpam-5845	275	29	key	key	ADJ
ejpam-5845	275	30	set	set	NOUN
ejpam-5845	275	31	m.	m.	NOUN
ejpam-5845	275	32	then	then	ADV
ejpam-5845	275	33	,	,	PUNCT
ejpam-5845	275	34	the	the	DET
ejpam-5845	275	35	following	follow	VERB
ejpam-5845	275	36	properties	property	NOUN
ejpam-5845	275	37	hold	hold	VERB
ejpam-5845	275	38	:	:	PUNCT
ejpam-5845	275	39	1	1	X
ejpam-5845	275	40	.	.	PUNCT
ejpam-5845	275	41	(	(	PUNCT
ejpam-5845	275	42	f̃	f̃	PROPN
ejpam-5845	275	43	,	,	PUNCT
ejpam-5845	275	44	é	é	PROPN
ejpam-5845	275	45	)	)	PUNCT
ejpam-5845	275	46	⋓	⋓	NOUN
ejpam-5845	275	47	[	[	PUNCT
ejpam-5845	275	48	(	(	PUNCT
ejpam-5845	275	49	g̃	g̃	PROPN
ejpam-5845	275	50	,	,	PUNCT
ejpam-5845	275	51	é	é	PROPN
ejpam-5845	275	52	)	)	PUNCT
ejpam-5845	275	53	⋓	⋓	NOUN
ejpam-5845	275	54	(	(	PUNCT
ejpam-5845	275	55	h̃	h̃	PROPN
ejpam-5845	275	56	,	,	PUNCT
ejpam-5845	275	57	é	é	PROPN
ejpam-5845	275	58	)	)	PUNCT
ejpam-5845	275	59	]	]	PUNCT
ejpam-5845	276	1	=	=	PUNCT
ejpam-5845	276	2	[	[	PUNCT
ejpam-5845	276	3	(	(	PUNCT
ejpam-5845	276	4	f̃	f̃	PROPN
ejpam-5845	276	5	,	,	PUNCT
ejpam-5845	276	6	é	é	PROPN
ejpam-5845	276	7	)	)	PUNCT
ejpam-5845	276	8	⋓	⋓	NOUN
ejpam-5845	276	9	(	(	PUNCT
ejpam-5845	276	10	g̃	g̃	PROPN
ejpam-5845	276	11	,	,	PUNCT
ejpam-5845	276	12	é	é	PROPN
ejpam-5845	276	13	)	)	PUNCT
ejpam-5845	276	14	]	]	PUNCT
ejpam-5845	276	15	⋓	⋓	NOUN
ejpam-5845	276	16	(	(	PUNCT
ejpam-5845	276	17	h̃	h̃	PROPN
ejpam-5845	276	18	,	,	PUNCT
ejpam-5845	276	19	é	é	PROPN
ejpam-5845	276	20	)	)	PUNCT
ejpam-5845	276	21	2	2	NUM
ejpam-5845	276	22	.	.	PUNCT
ejpam-5845	276	23	(	(	PUNCT
ejpam-5845	276	24	f̃	f̃	PROPN
ejpam-5845	276	25	,	,	PUNCT
ejpam-5845	276	26	é	é	PROPN
ejpam-5845	276	27	)	)	PUNCT
ejpam-5845	276	28	⋒	⋒	PUNCT
ejpam-5845	276	29	[	[	PUNCT
ejpam-5845	276	30	(	(	PUNCT
ejpam-5845	276	31	g̃	g̃	PROPN
ejpam-5845	276	32	,	,	PUNCT
ejpam-5845	276	33	é	é	PROPN
ejpam-5845	276	34	)	)	PUNCT
ejpam-5845	276	35	⋒	⋒	PUNCT
ejpam-5845	276	36	(	(	PUNCT
ejpam-5845	276	37	h̃	h̃	PROPN
ejpam-5845	276	38	,	,	PUNCT
ejpam-5845	276	39	é	é	PROPN
ejpam-5845	276	40	)	)	PUNCT
ejpam-5845	276	41	]	]	PUNCT
ejpam-5845	277	1	=	=	PUNCT
ejpam-5845	277	2	[	[	PUNCT
ejpam-5845	277	3	(	(	PUNCT
ejpam-5845	277	4	f̃	f̃	PROPN
ejpam-5845	277	5	,	,	PUNCT
ejpam-5845	277	6	é	é	PROPN
ejpam-5845	277	7	)	)	PUNCT
ejpam-5845	277	8	⋒	⋒	PUNCT
ejpam-5845	277	9	(	(	PUNCT
ejpam-5845	277	10	g̃	g̃	PROPN
ejpam-5845	277	11	,	,	PUNCT
ejpam-5845	277	12	é	é	PROPN
ejpam-5845	277	13	)	)	PUNCT
ejpam-5845	277	14	]	]	PUNCT
ejpam-5845	277	15	⋒	⋒	PROPN
ejpam-5845	277	16	(	(	PUNCT
ejpam-5845	277	17	h̃	h̃	PROPN
ejpam-5845	277	18	,	,	PUNCT
ejpam-5845	277	19	é	é	PROPN
ejpam-5845	277	20	)	)	PUNCT
ejpam-5845	277	21	3	3	NUM
ejpam-5845	277	22	.	.	PUNCT
ejpam-5845	278	1	(	(	PUNCT
ejpam-5845	278	2	f̃	f̃	PROPN
ejpam-5845	278	3	,	,	PUNCT
ejpam-5845	278	4	é	é	PROPN
ejpam-5845	278	5	)	)	PUNCT
ejpam-5845	278	6	⋓	⋓	NOUN
ejpam-5845	278	7	[	[	PUNCT
ejpam-5845	278	8	(	(	PUNCT
ejpam-5845	278	9	g̃	g̃	PROPN
ejpam-5845	278	10	,	,	PUNCT
ejpam-5845	278	11	é	é	PROPN
ejpam-5845	278	12	)	)	PUNCT
ejpam-5845	278	13	⋒	⋒	PUNCT
ejpam-5845	278	14	(	(	PUNCT
ejpam-5845	278	15	h̃	h̃	PROPN
ejpam-5845	278	16	,	,	PUNCT
ejpam-5845	278	17	é	é	PROPN
ejpam-5845	278	18	)	)	PUNCT
ejpam-5845	278	19	]	]	PUNCT
ejpam-5845	279	1	=	=	PUNCT
ejpam-5845	279	2	[	[	PUNCT
ejpam-5845	279	3	(	(	PUNCT
ejpam-5845	279	4	f̃	f̃	PROPN
ejpam-5845	279	5	,	,	PUNCT
ejpam-5845	279	6	é	é	PROPN
ejpam-5845	279	7	)	)	PUNCT
ejpam-5845	279	8	⋓	⋓	NOUN
ejpam-5845	279	9	(	(	PUNCT
ejpam-5845	279	10	g̃	g̃	PROPN
ejpam-5845	279	11	,	,	PUNCT
ejpam-5845	279	12	é	é	PROPN
ejpam-5845	279	13	)	)	PUNCT
ejpam-5845	279	14	]	]	PUNCT
ejpam-5845	279	15	⋒	⋒	PUNCT
ejpam-5845	279	16	[	[	PUNCT
ejpam-5845	279	17	(	(	PUNCT
ejpam-5845	279	18	f̃	f̃	PROPN
ejpam-5845	279	19	,	,	PUNCT
ejpam-5845	279	20	é	é	PROPN
ejpam-5845	279	21	)	)	PUNCT
ejpam-5845	279	22	⋓	⋓	NOUN
ejpam-5845	279	23	(	(	PUNCT
ejpam-5845	279	24	h̃	h̃	PROPN
ejpam-5845	279	25	,	,	PUNCT
ejpam-5845	279	26	é	é	PROPN
ejpam-5845	279	27	)	)	PUNCT
ejpam-5845	279	28	]	]	PUNCT
ejpam-5845	279	29	4	4	X
ejpam-5845	279	30	.	.	PUNCT
ejpam-5845	279	31	(	(	PUNCT
ejpam-5845	279	32	f̃	f̃	PROPN
ejpam-5845	279	33	,	,	PUNCT
ejpam-5845	279	34	é	é	PROPN
ejpam-5845	279	35	)	)	PUNCT
ejpam-5845	279	36	⋒	⋒	PUNCT
ejpam-5845	279	37	[	[	PUNCT
ejpam-5845	279	38	(	(	PUNCT
ejpam-5845	279	39	g̃	g̃	PROPN
ejpam-5845	279	40	,	,	PUNCT
ejpam-5845	279	41	é	é	PROPN
ejpam-5845	279	42	)	)	PUNCT
ejpam-5845	279	43	⋓	⋓	NOUN
ejpam-5845	279	44	(	(	PUNCT
ejpam-5845	279	45	h̃	h̃	PROPN
ejpam-5845	279	46	,	,	PUNCT
ejpam-5845	279	47	é	é	PROPN
ejpam-5845	279	48	)	)	PUNCT
ejpam-5845	279	49	]	]	PUNCT
ejpam-5845	280	1	=	=	PUNCT
ejpam-5845	280	2	[	[	PUNCT
ejpam-5845	280	3	(	(	PUNCT
ejpam-5845	280	4	f̃	f̃	PROPN
ejpam-5845	280	5	,	,	PUNCT
ejpam-5845	280	6	é	é	PROPN
ejpam-5845	280	7	)	)	PUNCT
ejpam-5845	280	8	⋒	⋒	PUNCT
ejpam-5845	280	9	(	(	PUNCT
ejpam-5845	280	10	g̃	g̃	PROPN
ejpam-5845	280	11	,	,	PUNCT
ejpam-5845	280	12	é	é	PROPN
ejpam-5845	280	13	)	)	PUNCT
ejpam-5845	280	14	]	]	PUNCT
ejpam-5845	280	15	⋓	⋓	NOUN
ejpam-5845	280	16	[	[	PUNCT
ejpam-5845	280	17	(	(	PUNCT
ejpam-5845	280	18	f̃	f̃	PROPN
ejpam-5845	280	19	,	,	PUNCT
ejpam-5845	280	20	é	é	PROPN
ejpam-5845	280	21	)	)	PUNCT
ejpam-5845	280	22	⋒	⋒	PUNCT
ejpam-5845	280	23	(	(	PUNCT
ejpam-5845	280	24	h̃	h̃	PROPN
ejpam-5845	280	25	,	,	PUNCT
ejpam-5845	280	26	é	é	PROPN
ejpam-5845	280	27	)	)	PUNCT
ejpam-5845	280	28	]	]	PUNCT
ejpam-5845	281	1	5	5	X
ejpam-5845	281	2	.	.	PUNCT
ejpam-5845	281	3	(	(	PUNCT
ejpam-5845	281	4	f̃	f̃	PROPN
ejpam-5845	281	5	,	,	PUNCT
ejpam-5845	281	6	é	é	PROPN
ejpam-5845	281	7	)	)	PUNCT
ejpam-5845	281	8	⋓	⋓	NOUN
ejpam-5845	281	9	0(m	0(m	NUM
ejpam-5845	281	10	,	,	PUNCT
ejpam-5845	281	11	é	é	PROPN
ejpam-5845	281	12	)	)	PUNCT
ejpam-5845	281	13	=	=	SYM
ejpam-5845	281	14	(	(	PUNCT
ejpam-5845	281	15	f̃	f̃	PROPN
ejpam-5845	281	16	,	,	PUNCT
ejpam-5845	281	17	é	é	PROPN
ejpam-5845	281	18	)	)	PUNCT
ejpam-5845	281	19	6	6	NUM
ejpam-5845	281	20	.	.	PUNCT
ejpam-5845	282	1	(	(	PUNCT
ejpam-5845	282	2	f̃	f̃	PROPN
ejpam-5845	282	3	,	,	PUNCT
ejpam-5845	282	4	é	é	PROPN
ejpam-5845	282	5	)	)	PUNCT
ejpam-5845	282	6	⋒	⋒	PUNCT
ejpam-5845	282	7	0(m	0(m	NUM
ejpam-5845	282	8	,	,	PUNCT
ejpam-5845	282	9	é	é	PROPN
ejpam-5845	282	10	)	)	PUNCT
ejpam-5845	282	11	=	=	SYM
ejpam-5845	282	12	0(m	0(m	NUM
ejpam-5845	282	13	,	,	PUNCT
ejpam-5845	282	14	é	é	PROPN
ejpam-5845	282	15	)	)	PUNCT
ejpam-5845	282	16	7	7	NUM
ejpam-5845	282	17	.	.	PUNCT
ejpam-5845	282	18	(	(	PUNCT
ejpam-5845	282	19	f̃	f̃	PROPN
ejpam-5845	282	20	,	,	PUNCT
ejpam-5845	282	21	é	é	PROPN
ejpam-5845	282	22	)	)	PUNCT
ejpam-5845	282	23	⋓	⋓	NOUN
ejpam-5845	282	24	1(m	1(m	NUM
ejpam-5845	282	25	,	,	PUNCT
ejpam-5845	282	26	é	é	PROPN
ejpam-5845	282	27	)	)	PUNCT
ejpam-5845	282	28	=	=	SYM
ejpam-5845	282	29	1(m	1(m	NUM
ejpam-5845	282	30	,	,	PUNCT
ejpam-5845	282	31	é	é	PROPN
ejpam-5845	282	32	)	)	PUNCT
ejpam-5845	282	33	8	8	NUM
ejpam-5845	282	34	.	.	PUNCT
ejpam-5845	282	35	(	(	PUNCT
ejpam-5845	282	36	f̃	f̃	PROPN
ejpam-5845	282	37	,	,	PUNCT
ejpam-5845	282	38	é	é	PROPN
ejpam-5845	282	39	)	)	PUNCT
ejpam-5845	282	40	⋒	⋒	PUNCT
ejpam-5845	282	41	1(m	1(m	NUM
ejpam-5845	282	42	,	,	PUNCT
ejpam-5845	282	43	é	é	PROPN
ejpam-5845	282	44	)	)	PUNCT
ejpam-5845	282	45	=	=	SYM
ejpam-5845	282	46	(	(	PUNCT
ejpam-5845	282	47	f̃	f̃	PROPN
ejpam-5845	282	48	,	,	PUNCT
ejpam-5845	282	49	é	é	PROPN
ejpam-5845	282	50	)	)	PUNCT
ejpam-5845	282	51	proof	proof	NOUN
ejpam-5845	282	52	.	.	PUNCT
ejpam-5845	283	1	given	give	VERB
ejpam-5845	283	2	(	(	PUNCT
ejpam-5845	283	3	f̃	f̃	PROPN
ejpam-5845	283	4	,	,	PUNCT
ejpam-5845	283	5	é	é	PROPN
ejpam-5845	283	6	)	)	PUNCT
ejpam-5845	283	7	,	,	PUNCT
ejpam-5845	283	8	(	(	PUNCT
ejpam-5845	283	9	g̃	g̃	PROPN
ejpam-5845	283	10	,	,	PUNCT
ejpam-5845	283	11	é	é	PROPN
ejpam-5845	283	12	)	)	PUNCT
ejpam-5845	283	13	,	,	PUNCT
ejpam-5845	283	14	and	and	CCONJ
ejpam-5845	283	15	(	(	PUNCT
ejpam-5845	283	16	h̃	h̃	PROPN
ejpam-5845	283	17	,	,	PUNCT
ejpam-5845	283	18	é	é	PROPN
ejpam-5845	283	19	)	)	PUNCT
ejpam-5845	283	20	are	be	AUX
ejpam-5845	283	21	quadri	quadri	NOUN
ejpam-5845	283	22	-	-	PUNCT
ejpam-5845	283	23	partitioned	partition	VERB
ejpam-5845	283	24	neutrosophic	neutrosophic	ADJ
ejpam-5845	283	25	soft	soft	ADJ
ejpam-5845	283	26	sets	set	NOUN
ejpam-5845	283	27	,	,	PUNCT
ejpam-5845	283	28	then	then	ADV
ejpam-5845	283	29	,	,	PUNCT
ejpam-5845	283	30	(	(	PUNCT
ejpam-5845	283	31	f̃	f̃	PROPN
ejpam-5845	283	32	,	,	PUNCT
ejpam-5845	283	33	é)∨̃[(g̃	é)∨̃[(g̃	NOUN
ejpam-5845	283	34	,	,	PUNCT
ejpam-5845	283	35	é)∨̃(h̃	é)∨̃(h̃	PROPN
ejpam-5845	283	36	,	,	PUNCT
ejpam-5845	283	37	é	é	PROPN
ejpam-5845	283	38	)	)	PUNCT
ejpam-5845	283	39	]	]	PUNCT
ejpam-5845	284	1	=	=	PUNCT
ejpam-5845	285	1	[	[	X
ejpam-5845	285	2	(	(	PUNCT
ejpam-5845	285	3	f̃	f̃	PROPN
ejpam-5845	285	4	,	,	PUNCT
ejpam-5845	285	5	é)∨̃(g̃	é)∨̃(g̃	PROPN
ejpam-5845	285	6	,	,	PUNCT
ejpam-5845	285	7	é)]∨̃(h̃	é)]∨̃(h̃	NOUN
ejpam-5845	285	8	,	,	PUNCT
ejpam-5845	285	9	é	é	PROPN
ejpam-5845	285	10	)	)	PUNCT
ejpam-5845	285	11	⇒	⇒	NOUN
ejpam-5845	285	12	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	285	13	∈	∈	PROPN
ejpam-5845	285	14	(	(	PUNCT
ejpam-5845	285	15	f̃	f̃	PROPN
ejpam-5845	285	16	,	,	PUNCT
ejpam-5845	285	17	é)∨̃[(g̃	é)∨̃[(g̃	NOUN
ejpam-5845	285	18	,	,	PUNCT
ejpam-5845	285	19	é)∨̃(h̃	é)∨̃(h̃	PROPN
ejpam-5845	285	20	,	,	PUNCT
ejpam-5845	285	21	é	é	PROPN
ejpam-5845	285	22	)	)	PUNCT
ejpam-5845	285	23	]	]	PUNCT
ejpam-5845	285	24	⇒	⇒	VERB
ejpam-5845	285	25	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	285	26	∈	∈	PROPN
ejpam-5845	285	27	(	(	PUNCT
ejpam-5845	285	28	f̃	f̃	PROPN
ejpam-5845	285	29	,	,	PUNCT
ejpam-5845	285	30	é	é	PROPN
ejpam-5845	285	31	)	)	PUNCT
ejpam-5845	285	32	or	or	CCONJ
ejpam-5845	285	33	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	ADJ
ejpam-5845	285	34	∈	∈	PROPN
ejpam-5845	286	1	[	[	X
ejpam-5845	286	2	(	(	PUNCT
ejpam-5845	286	3	g̃	g̃	PROPN
ejpam-5845	286	4	,	,	PUNCT
ejpam-5845	286	5	é)∨̃(h̃	é)∨̃(h̃	PROPN
ejpam-5845	286	6	,	,	PUNCT
ejpam-5845	286	7	é	é	PROPN
ejpam-5845	286	8	)	)	PUNCT
ejpam-5845	286	9	]	]	PUNCT
ejpam-5845	286	10	⇒	⇒	VERB
ejpam-5845	286	11	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	286	12	∈	∈	PROPN
ejpam-5845	286	13	(	(	PUNCT
ejpam-5845	286	14	f̃	f̃	PROPN
ejpam-5845	286	15	,	,	PUNCT
ejpam-5845	286	16	é	é	PROPN
ejpam-5845	286	17	)	)	PUNCT
ejpam-5845	286	18	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	286	19	∈	∈	PROPN
ejpam-5845	286	20	(	(	PUNCT
ejpam-5845	286	21	e	e	NOUN
ejpam-5845	286	22	,	,	PUNCT
ejpam-5845	286	23	s	s	PART
ejpam-5845	286	24	,	,	PUNCT
ejpam-5845	286	25	(	(	PUNCT
ejpam-5845	286	26	max	max	X
ejpam-5845	286	27	[	[	PUNCT
ejpam-5845	286	28	abtg̃(e)(s	abtg̃(e)(s	NOUN
ejpam-5845	286	29	)	)	PUNCT
ejpam-5845	286	30	,	,	PUNCT
ejpam-5845	286	31	abth̃(e)(s	abth̃(e)(s	PROPN
ejpam-5845	286	32	)	)	PUNCT
ejpam-5845	286	33	]	]	PUNCT
ejpam-5845	286	34	,	,	PUNCT
ejpam-5845	286	35	max	max	PROPN
ejpam-5845	286	36	[	[	PUNCT
ejpam-5845	286	37	retg̃(e)(s	retg̃(e)(s	NOUN
ejpam-5845	286	38	)	)	PUNCT
ejpam-5845	286	39	,	,	PUNCT
ejpam-5845	286	40	reth̃(e)(s	reth̃(e)(s	NOUN
ejpam-5845	286	41	)	)	PUNCT
ejpam-5845	286	42	]	]	PUNCT
ejpam-5845	286	43	)	)	PUNCT
ejpam-5845	286	44	,	,	PUNCT
ejpam-5845	286	45	(	(	PUNCT
ejpam-5845	286	46	min	min	NOUN
ejpam-5845	286	47	[	[	PUNCT
ejpam-5845	286	48	refg̃(e)(s	refg̃(e)(s	NOUN
ejpam-5845	286	49	)	)	PUNCT
ejpam-5845	286	50	,	,	PUNCT
ejpam-5845	286	51	refh̃(e)(s	refh̃(e)(s	NOUN
ejpam-5845	286	52	)	)	PUNCT
ejpam-5845	286	53	]	]	PUNCT
ejpam-5845	286	54	,	,	PUNCT
ejpam-5845	286	55	min	min	NOUN
ejpam-5845	286	56	[	[	PUNCT
ejpam-5845	286	57	abfg̃(e)(s	abfg̃(e)(s	NOUN
ejpam-5845	286	58	)	)	PUNCT
ejpam-5845	286	59	,	,	PUNCT
ejpam-5845	286	60	abfh̃(e)(s	abfh̃(e)(s	NOUN
ejpam-5845	286	61	)	)	PUNCT
ejpam-5845	286	62	]	]	PUNCT
ejpam-5845	286	63	)	)	PUNCT
ejpam-5845	286	64	)	)	PUNCT
ejpam-5845	286	65	,	,	PUNCT
ejpam-5845	286	66	∀e	∀e	PROPN
ejpam-5845	286	67	∈	∈	PROPN
ejpam-5845	286	68	é	é	PROPN
ejpam-5845	286	69	,	,	PUNCT
ejpam-5845	286	70	s	s	PART
ejpam-5845	286	71	∈	∈	PROPN
ejpam-5845	286	72	m	m	VERB
ejpam-5845	286	73	⇒	⇒	NOUN
ejpam-5845	286	74	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	286	75	∈	∈	PROPN
ejpam-5845	286	76	(	(	PUNCT
ejpam-5845	286	77	e	e	NOUN
ejpam-5845	286	78	,	,	PUNCT
ejpam-5845	286	79	s	s	PART
ejpam-5845	286	80	,	,	PUNCT
ejpam-5845	286	81	(	(	PUNCT
ejpam-5845	286	82	max	max	X
ejpam-5845	286	83	[	[	PUNCT
ejpam-5845	286	84	abtf̃	abtf̃	X
ejpam-5845	286	85	(	(	PUNCT
ejpam-5845	286	86	e)(s	e)(s	NOUN
ejpam-5845	286	87	)	)	PUNCT
ejpam-5845	286	88	,	,	PUNCT
ejpam-5845	286	89	abtg̃(e)(s	abtg̃(e)(s	NOUN
ejpam-5845	286	90	)	)	PUNCT
ejpam-5845	286	91	]	]	PUNCT
ejpam-5845	287	1	,	,	PUNCT
ejpam-5845	287	2	max	max	PROPN
ejpam-5845	287	3	[	[	PUNCT
ejpam-5845	287	4	retf̃	retf̃	NOUN
ejpam-5845	287	5	(	(	PUNCT
ejpam-5845	287	6	e)(s	e)(s	NOUN
ejpam-5845	287	7	)	)	PUNCT
ejpam-5845	287	8	,	,	PUNCT
ejpam-5845	287	9	retg̃(e)(s	retg̃(e)(s	NOUN
ejpam-5845	287	10	)	)	PUNCT
ejpam-5845	287	11	]	]	PUNCT
ejpam-5845	287	12	)	)	PUNCT
ejpam-5845	287	13	,	,	PUNCT
ejpam-5845	287	14	m.	m.	NOUN
ejpam-5845	287	15	m.	m.	PROPN
ejpam-5845	287	16	saeed	saeed	PROPN
ejpam-5845	287	17	et	et	PROPN
ejpam-5845	287	18	al	al	PROPN
ejpam-5845	287	19	.	.	PUNCT
ejpam-5845	287	20	/	/	SYM
ejpam-5845	287	21	eur	eur	PROPN
ejpam-5845	287	22	.	.	PUNCT
ejpam-5845	288	1	j.	j.	PROPN
ejpam-5845	288	2	pure	pure	PROPN
ejpam-5845	288	3	appl	appl	PROPN
ejpam-5845	288	4	.	.	PROPN
ejpam-5845	288	5	math	math	PROPN
ejpam-5845	288	6	,	,	PUNCT
ejpam-5845	288	7	18	18	NUM
ejpam-5845	288	8	(	(	PUNCT
ejpam-5845	288	9	2	2	NUM
ejpam-5845	288	10	)	)	PUNCT
ejpam-5845	288	11	(	(	PUNCT
ejpam-5845	288	12	2025	2025	NUM
ejpam-5845	288	13	)	)	PUNCT
ejpam-5845	288	14	,	,	PUNCT
ejpam-5845	288	15	5845	5845	NUM
ejpam-5845	288	16	11	11	NUM
ejpam-5845	288	17	of	of	ADP
ejpam-5845	288	18	32	32	NUM
ejpam-5845	288	19	(	(	PUNCT
ejpam-5845	288	20	min	min	X
ejpam-5845	288	21	[	[	PUNCT
ejpam-5845	288	22	reff̃	reff̃	X
ejpam-5845	288	23	(	(	PUNCT
ejpam-5845	288	24	e)(s	e)(s	NOUN
ejpam-5845	288	25	)	)	PUNCT
ejpam-5845	288	26	,	,	PUNCT
ejpam-5845	288	27	refg̃(e)(s	refg̃(e)(s	NOUN
ejpam-5845	288	28	)	)	PUNCT
ejpam-5845	288	29	]	]	PUNCT
ejpam-5845	288	30	,	,	PUNCT
ejpam-5845	288	31	min	min	PROPN
ejpam-5845	288	32	[	[	PUNCT
ejpam-5845	288	33	abff̃	abff̃	ADV
ejpam-5845	288	34	(	(	PUNCT
ejpam-5845	288	35	e)(s	e)(s	NOUN
ejpam-5845	288	36	)	)	PUNCT
ejpam-5845	288	37	,	,	PUNCT
ejpam-5845	288	38	abfg̃(e)(s	abfg̃(e)(s	NOUN
ejpam-5845	288	39	)	)	PUNCT
ejpam-5845	288	40	]	]	PUNCT
ejpam-5845	288	41	)	)	PUNCT
ejpam-5845	288	42	)	)	PUNCT
ejpam-5845	288	43	,	,	PUNCT
ejpam-5845	288	44	∀e	∀e	PROPN
ejpam-5845	288	45	∈	∈	PROPN
ejpam-5845	288	46	é	é	PROPN
ejpam-5845	288	47	,	,	PUNCT
ejpam-5845	288	48	s	s	PART
ejpam-5845	288	49	∈	∈	PROPN
ejpam-5845	288	50	m	m	VERB
ejpam-5845	288	51	i.e.	i.e.	X
ejpam-5845	288	52	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	ADJ
ejpam-5845	288	53	∈	∈	PROPN
ejpam-5845	289	1	[	[	X
ejpam-5845	289	2	(	(	PUNCT
ejpam-5845	289	3	f̃	f̃	PROPN
ejpam-5845	289	4	,	,	PUNCT
ejpam-5845	289	5	é)∨̃(g̃	é)∨̃(g̃	PROPN
ejpam-5845	289	6	,	,	PUNCT
ejpam-5845	289	7	é)]∨̃(h̃	é)]∨̃(h̃	NOUN
ejpam-5845	289	8	,	,	PUNCT
ejpam-5845	289	9	é	é	PROPN
ejpam-5845	289	10	)	)	PUNCT
ejpam-5845	289	11	⇒	⇒	NOUN
ejpam-5845	289	12	(	(	PUNCT
ejpam-5845	289	13	f̃	f̃	PROPN
ejpam-5845	289	14	,	,	PUNCT
ejpam-5845	289	15	é)∨̃[(g̃	é)∨̃[(g̃	NOUN
ejpam-5845	289	16	,	,	PUNCT
ejpam-5845	289	17	é)∨̃(h̃	é)∨̃(h̃	PROPN
ejpam-5845	289	18	,	,	PUNCT
ejpam-5845	289	19	é	é	PROPN
ejpam-5845	289	20	)	)	PUNCT
ejpam-5845	289	21	]	]	PUNCT
ejpam-5845	290	1	⊆	⊆	NUM
ejpam-5845	290	2	[	[	X
ejpam-5845	290	3	̃(f̃	̃(f̃	X
ejpam-5845	290	4	,	,	PUNCT
ejpam-5845	290	5	é)∨̃(g̃	é)∨̃(g̃	PROPN
ejpam-5845	290	6	,	,	PUNCT
ejpam-5845	290	7	é)]∨̃(h̃	é)]∨̃(h̃	NOUN
ejpam-5845	290	8	,	,	PUNCT
ejpam-5845	290	9	é	é	PROPN
ejpam-5845	290	10	)	)	PUNCT
ejpam-5845	290	11	similarly	similarly	ADV
ejpam-5845	290	12	,	,	PUNCT
ejpam-5845	290	13	[	[	X
ejpam-5845	290	14	(	(	PUNCT
ejpam-5845	290	15	f̃	f̃	PROPN
ejpam-5845	290	16	,	,	PUNCT
ejpam-5845	290	17	é)∨̃(g̃	é)∨̃(g̃	PROPN
ejpam-5845	290	18	,	,	PUNCT
ejpam-5845	290	19	é)]∨̃(h̃	é)]∨̃(h̃	NOUN
ejpam-5845	290	20	,	,	PUNCT
ejpam-5845	290	21	é	é	PROPN
ejpam-5845	290	22	)	)	PUNCT
ejpam-5845	290	23	⊆	⊆	NUM
ejpam-5845	290	24	(	(	PUNCT
ejpam-5845	290	25	f̃	f̃	PROPN
ejpam-5845	290	26	,	,	PUNCT
ejpam-5845	290	27	é)∨̃[(g̃	é)∨̃[(g̃	NOUN
ejpam-5845	290	28	,	,	PUNCT
ejpam-5845	290	29	é)∨̃(h̃	é)∨̃(h̃	PROPN
ejpam-5845	290	30	,	,	PUNCT
ejpam-5845	290	31	é	é	PROPN
ejpam-5845	290	32	)	)	PUNCT
ejpam-5845	290	33	]	]	PUNCT
ejpam-5845	290	34	⇒	⇒	NOUN
ejpam-5845	290	35	(	(	PUNCT
ejpam-5845	290	36	f̃	f̃	PROPN
ejpam-5845	290	37	,	,	PUNCT
ejpam-5845	290	38	é)∨̃[(g̃	é)∨̃[(g̃	NOUN
ejpam-5845	290	39	,	,	PUNCT
ejpam-5845	290	40	é)∨̃(h̃	é)∨̃(h̃	PROPN
ejpam-5845	290	41	,	,	PUNCT
ejpam-5845	290	42	é	é	PROPN
ejpam-5845	290	43	)	)	PUNCT
ejpam-5845	290	44	]	]	PUNCT
ejpam-5845	291	1	=	=	PUNCT
ejpam-5845	292	1	[	[	X
ejpam-5845	292	2	(	(	PUNCT
ejpam-5845	292	3	f̃	f̃	PROPN
ejpam-5845	292	4	,	,	PUNCT
ejpam-5845	292	5	é)∨̃(g̃	é)∨̃(g̃	PROPN
ejpam-5845	292	6	,	,	PUNCT
ejpam-5845	292	7	é)]∨̃(h̃	é)]∨̃(h̃	NOUN
ejpam-5845	292	8	,	,	PUNCT
ejpam-5845	292	9	é	é	PROPN
ejpam-5845	292	10	)	)	PUNCT
ejpam-5845	292	11	thus	thus	ADV
ejpam-5845	292	12	,	,	PUNCT
ejpam-5845	292	13	in	in	ADP
ejpam-5845	292	14	a	a	DET
ejpam-5845	292	15	similar	similar	ADJ
ejpam-5845	292	16	fashion	fashion	NOUN
ejpam-5845	292	17	,	,	PUNCT
ejpam-5845	292	18	we	we	PRON
ejpam-5845	292	19	can	can	AUX
ejpam-5845	292	20	prove	prove	VERB
ejpam-5845	292	21	the	the	DET
ejpam-5845	292	22	rest	rest	NOUN
ejpam-5845	292	23	of	of	ADP
ejpam-5845	292	24	the	the	DET
ejpam-5845	292	25	results	result	NOUN
ejpam-5845	292	26	.	.	PUNCT
ejpam-5845	293	1	theorem	theorem	NOUN
ejpam-5845	293	2	2	2	NUM
ejpam-5845	293	3	.	.	PUNCT
ejpam-5845	294	1	let	let	VERB
ejpam-5845	294	2	(	(	PUNCT
ejpam-5845	294	3	f̃	f̃	PROPN
ejpam-5845	294	4	,	,	PUNCT
ejpam-5845	294	5	é	é	PROPN
ejpam-5845	294	6	)	)	PUNCT
ejpam-5845	294	7	and	and	CCONJ
ejpam-5845	295	1	(	(	PUNCT
ejpam-5845	295	2	g̃	g̃	PROPN
ejpam-5845	295	3	,	,	PUNCT
ejpam-5845	295	4	é	é	PROPN
ejpam-5845	295	5	)	)	PUNCT
ejpam-5845	295	6	be	be	VERB
ejpam-5845	295	7	quadri	quadri	NOUN
ejpam-5845	295	8	-	-	PUNCT
ejpam-5845	295	9	partitioned	partition	VERB
ejpam-5845	295	10	neutrosophic	neutrosophic	ADJ
ejpam-5845	295	11	soft	soft	ADJ
ejpam-5845	295	12	sets	set	NOUN
ejpam-5845	295	13	over	over	ADP
ejpam-5845	295	14	the	the	DET
ejpam-5845	295	15	key	key	ADJ
ejpam-5845	295	16	set	set	NOUN
ejpam-5845	295	17	m	m	PROPN
ejpam-5845	295	18	,	,	PUNCT
ejpam-5845	295	19	then	then	ADV
ejpam-5845	295	20	[	[	X
ejpam-5845	295	21	(	(	PUNCT
ejpam-5845	295	22	f̃	f̃	PROPN
ejpam-5845	295	23	,	,	PUNCT
ejpam-5845	295	24	é	é	PROPN
ejpam-5845	295	25	)	)	PUNCT
ejpam-5845	295	26	⋓	⋓	NOUN
ejpam-5845	295	27	(	(	PUNCT
ejpam-5845	295	28	g̃	g̃	PROPN
ejpam-5845	295	29	,	,	PUNCT
ejpam-5845	295	30	é)]c	é)]c	NOUN
ejpam-5845	295	31	=	=	SYM
ejpam-5845	295	32	(	(	PUNCT
ejpam-5845	295	33	f̃	f̃	PROPN
ejpam-5845	295	34	,	,	PUNCT
ejpam-5845	295	35	é)c	é)c	ADP
ejpam-5845	295	36	⋒	⋒	X
ejpam-5845	295	37	(	(	PUNCT
ejpam-5845	295	38	g̃	g̃	PROPN
ejpam-5845	295	39	,	,	PUNCT
ejpam-5845	295	40	é)c	é)c	ADP
ejpam-5845	295	41	;	;	PUNCT
ejpam-5845	295	42	[	[	X
ejpam-5845	295	43	(	(	PUNCT
ejpam-5845	295	44	f̃	f̃	PROPN
ejpam-5845	295	45	,	,	PUNCT
ejpam-5845	295	46	é	é	PROPN
ejpam-5845	295	47	)	)	PUNCT
ejpam-5845	295	48	⋒	⋒	PUNCT
ejpam-5845	295	49	(	(	PUNCT
ejpam-5845	295	50	g̃	g̃	PROPN
ejpam-5845	295	51	,	,	PUNCT
ejpam-5845	295	52	é)]c	é)]c	NOUN
ejpam-5845	295	53	=	=	SYM
ejpam-5845	295	54	(	(	PUNCT
ejpam-5845	295	55	f̃	f̃	PROPN
ejpam-5845	295	56	,	,	PUNCT
ejpam-5845	295	57	é)c	é)c	ADP
ejpam-5845	295	58	⋓	⋓	NOUN
ejpam-5845	295	59	(	(	PUNCT
ejpam-5845	295	60	g̃	g̃	PROPN
ejpam-5845	295	61	,	,	PUNCT
ejpam-5845	295	62	é)c	é)c	NOUN
ejpam-5845	295	63	.	.	NOUN
ejpam-5845	295	64	proof	proof	NOUN
ejpam-5845	295	65	.	.	PUNCT
ejpam-5845	296	1	given	give	VERB
ejpam-5845	296	2	(	(	PUNCT
ejpam-5845	296	3	f̃	f̃	PROPN
ejpam-5845	296	4	,	,	PUNCT
ejpam-5845	296	5	é	é	PROPN
ejpam-5845	296	6	)	)	PUNCT
ejpam-5845	296	7	and	and	CCONJ
ejpam-5845	296	8	(	(	PUNCT
ejpam-5845	296	9	g̃	g̃	PROPN
ejpam-5845	296	10	,	,	PUNCT
ejpam-5845	296	11	é	é	PROPN
ejpam-5845	296	12	)	)	PUNCT
ejpam-5845	296	13	be	be	AUX
ejpam-5845	296	14	quadri	quadri	NOUN
ejpam-5845	296	15	-	-	PUNCT
ejpam-5845	296	16	partitioned	partition	VERB
ejpam-5845	296	17	neutrosophic	neutrosophic	ADJ
ejpam-5845	296	18	soft	soft	ADJ
ejpam-5845	296	19	sets	set	NOUN
ejpam-5845	296	20	,	,	PUNCT
ejpam-5845	296	21	then	then	ADV
ejpam-5845	296	22	∀e	∀e	PROPN
ejpam-5845	296	23	∈	∈	PROPN
ejpam-5845	296	24	é,∀s	é,∀s	PROPN
ejpam-5845	296	25	∈	∈	PROPN
ejpam-5845	296	26	m	m	PROPN
ejpam-5845	296	27	,	,	PUNCT
ejpam-5845	296	28	(	(	PUNCT
ejpam-5845	296	29	f̃	f̃	PROPN
ejpam-5845	296	30	,	,	PUNCT
ejpam-5845	296	31	é)⋓(g̃	é)⋓(g̃	NOUN
ejpam-5845	296	32	,	,	PUNCT
ejpam-5845	296	33	é	é	PROPN
ejpam-5845	296	34	)	)	PUNCT
ejpam-5845	296	35	=	=	PRON
ejpam-5845	296	36	{	{	PUNCT
ejpam-5845	296	37	(	(	PUNCT
ejpam-5845	296	38	s	s	PROPN
ejpam-5845	296	39	,	,	PUNCT
ejpam-5845	296	40	max	max	PROPN
ejpam-5845	296	41	[	[	PUNCT
ejpam-5845	296	42	abtf̃	abtf̃	X
ejpam-5845	296	43	(	(	PUNCT
ejpam-5845	296	44	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	296	45	)	)	PUNCT
ejpam-5845	296	46	]	]	PUNCT
ejpam-5845	296	47	,	,	PUNCT
ejpam-5845	296	48	max	max	PROPN
ejpam-5845	296	49	[	[	PUNCT
ejpam-5845	296	50	retf̃	retf̃	NOUN
ejpam-5845	296	51	(	(	PUNCT
ejpam-5845	296	52	e)(s),retg̃(e)(s	e)(s),retg̃(e)(s	PROPN
ejpam-5845	296	53	)	)	PUNCT
ejpam-5845	296	54	]	]	PUNCT
ejpam-5845	296	55	,	,	PUNCT
ejpam-5845	296	56	min	min	X
ejpam-5845	296	57	[	[	PUNCT
ejpam-5845	296	58	reff̃	reff̃	PROPN
ejpam-5845	296	59	(	(	PUNCT
ejpam-5845	296	60	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	296	61	)	)	PUNCT
ejpam-5845	296	62	]	]	PUNCT
ejpam-5845	296	63	,	,	PUNCT
ejpam-5845	296	64	min	min	PROPN
ejpam-5845	296	65	[	[	PUNCT
ejpam-5845	296	66	abff̃	abff̃	ADV
ejpam-5845	296	67	(	(	PUNCT
ejpam-5845	296	68	e)(s),abfg̃(e)(s	e)(s),abfg̃(e)(s	NOUN
ejpam-5845	296	69	)	)	PUNCT
ejpam-5845	296	70	]	]	PUNCT
ejpam-5845	296	71	)	)	PUNCT
ejpam-5845	296	72	}	}	PUNCT
ejpam-5845	296	73	.	.	PUNCT
ejpam-5845	297	1	[	[	PUNCT
ejpam-5845	297	2	(	(	PUNCT
ejpam-5845	297	3	f̃	f̃	PROPN
ejpam-5845	297	4	,	,	PUNCT
ejpam-5845	297	5	é	é	PROPN
ejpam-5845	297	6	)	)	PUNCT
ejpam-5845	297	7	⋓	⋓	NOUN
ejpam-5845	297	8	(	(	PUNCT
ejpam-5845	297	9	g̃	g̃	PROPN
ejpam-5845	297	10	,	,	PUNCT
ejpam-5845	297	11	é	é	PROPN
ejpam-5845	297	12	)	)	PUNCT
ejpam-5845	297	13	]	]	PUNCT
ejpam-5845	297	14	c	c	X
ejpam-5845	297	15	=	=	SYM
ejpam-5845	297	16	{	{	PUNCT
ejpam-5845	297	17	(	(	PUNCT
ejpam-5845	297	18	s	s	PROPN
ejpam-5845	297	19	,	,	PUNCT
ejpam-5845	297	20	min	min	NOUN
ejpam-5845	297	21	[	[	PUNCT
ejpam-5845	297	22	abff̃	abff̃	ADV
ejpam-5845	297	23	(	(	PUNCT
ejpam-5845	297	24	e)(s),abfg̃(e)(s	e)(s),abfg̃(e)(s	NOUN
ejpam-5845	297	25	)	)	PUNCT
ejpam-5845	297	26	]	]	PUNCT
ejpam-5845	297	27	,	,	PUNCT
ejpam-5845	297	28	min	min	X
ejpam-5845	297	29	[	[	PUNCT
ejpam-5845	297	30	reff̃	reff̃	PROPN
ejpam-5845	297	31	(	(	PUNCT
ejpam-5845	297	32	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	297	33	)	)	PUNCT
ejpam-5845	297	34	]	]	PUNCT
ejpam-5845	297	35	,	,	PUNCT
ejpam-5845	297	36	max	max	PROPN
ejpam-5845	297	37	[	[	PUNCT
ejpam-5845	297	38	retf̃	retf̃	NOUN
ejpam-5845	297	39	(	(	PUNCT
ejpam-5845	297	40	e)(s),retg̃(e)(s	e)(s),retg̃(e)(s	PROPN
ejpam-5845	297	41	)	)	PUNCT
ejpam-5845	297	42	]	]	PUNCT
ejpam-5845	297	43	,	,	PUNCT
ejpam-5845	297	44	max	max	PROPN
ejpam-5845	297	45	[	[	PUNCT
ejpam-5845	297	46	abtf̃	abtf̃	X
ejpam-5845	297	47	(	(	PUNCT
ejpam-5845	297	48	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	297	49	)	)	PUNCT
ejpam-5845	297	50	]	]	PUNCT
ejpam-5845	297	51	)	)	PUNCT
ejpam-5845	297	52	}	}	PUNCT
ejpam-5845	297	53	.	.	PUNCT
ejpam-5845	298	1	now	now	ADV
ejpam-5845	298	2	,	,	PUNCT
ejpam-5845	298	3	(	(	PUNCT
ejpam-5845	298	4	f̃	f̃	PROPN
ejpam-5845	298	5	,	,	PUNCT
ejpam-5845	298	6	é)c	é)c	ADP
ejpam-5845	298	7	=	=	SYM
ejpam-5845	298	8	{	{	PUNCT
ejpam-5845	298	9	〈	〈	PROPN
ejpam-5845	298	10	s	s	PART
ejpam-5845	298	11	,	,	PUNCT
ejpam-5845	298	12	abff̃	abff̃	ADV
ejpam-5845	298	13	(	(	PUNCT
ejpam-5845	298	14	e)(s),reff̃	e)(s),reff̃	PROPN
ejpam-5845	298	15	(	(	PUNCT
ejpam-5845	298	16	e)(s),retf̃	e)(s),retf̃	NOUN
ejpam-5845	298	17	(	(	PUNCT
ejpam-5845	298	18	e)(s),abtf̃	e)(s),abtf̃	NOUN
ejpam-5845	298	19	(	(	PUNCT
ejpam-5845	298	20	e)(s	e)(s	NOUN
ejpam-5845	298	21	)	)	PUNCT
ejpam-5845	298	22	〉	〉	NOUN
ejpam-5845	298	23	}	}	PUNCT
ejpam-5845	298	24	,	,	PUNCT
ejpam-5845	298	25	(	(	PUNCT
ejpam-5845	298	26	g̃	g̃	PROPN
ejpam-5845	298	27	,	,	PUNCT
ejpam-5845	298	28	é)c	é)c	ADP
ejpam-5845	298	29	=	=	SYM
ejpam-5845	298	30	{	{	PUNCT
ejpam-5845	298	31	〈	〈	PROPN
ejpam-5845	298	32	s	s	PROPN
ejpam-5845	298	33	,	,	PUNCT
ejpam-5845	298	34	abfg̃(e)(s),refg̃(e)(s),retg̃(e)(s),abtg̃(e)(s	abfg̃(e)(s),refg̃(e)(s),retg̃(e)(s),abtg̃(e)(s	NOUN
ejpam-5845	298	35	)	)	PUNCT
ejpam-5845	298	36	〉	〉	NOUN
ejpam-5845	298	37	}	}	PUNCT
ejpam-5845	298	38	.	.	PUNCT
ejpam-5845	299	1	thus	thus	ADV
ejpam-5845	299	2	,	,	PUNCT
ejpam-5845	299	3	(	(	PUNCT
ejpam-5845	299	4	f̃	f̃	PROPN
ejpam-5845	299	5	,	,	PUNCT
ejpam-5845	299	6	é)c	é)c	ADP
ejpam-5845	299	7	⋒	⋒	X
ejpam-5845	299	8	(	(	PUNCT
ejpam-5845	299	9	g̃	g̃	PROPN
ejpam-5845	299	10	,	,	PUNCT
ejpam-5845	299	11	é)c	é)c	ADP
ejpam-5845	299	12	=	=	SYM
ejpam-5845	299	13	{	{	PUNCT
ejpam-5845	299	14	(	(	PUNCT
ejpam-5845	299	15	s	s	PROPN
ejpam-5845	299	16	,	,	PUNCT
ejpam-5845	299	17	min	min	NOUN
ejpam-5845	299	18	[	[	PUNCT
ejpam-5845	299	19	abff̃	abff̃	ADV
ejpam-5845	299	20	(	(	PUNCT
ejpam-5845	299	21	e)(s),abfg̃(e)(s	e)(s),abfg̃(e)(s	NOUN
ejpam-5845	299	22	)	)	PUNCT
ejpam-5845	299	23	]	]	PUNCT
ejpam-5845	299	24	,	,	PUNCT
ejpam-5845	299	25	min	min	X
ejpam-5845	299	26	[	[	PUNCT
ejpam-5845	299	27	reff̃	reff̃	PROPN
ejpam-5845	299	28	(	(	PUNCT
ejpam-5845	299	29	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	299	30	)	)	PUNCT
ejpam-5845	299	31	]	]	PUNCT
ejpam-5845	299	32	,	,	PUNCT
ejpam-5845	299	33	max	max	PROPN
ejpam-5845	299	34	[	[	PUNCT
ejpam-5845	299	35	retf̃	retf̃	NOUN
ejpam-5845	299	36	(	(	PUNCT
ejpam-5845	299	37	e)(s),retg̃(e)(s	e)(s),retg̃(e)(s	PROPN
ejpam-5845	299	38	)	)	PUNCT
ejpam-5845	299	39	]	]	PUNCT
ejpam-5845	299	40	,	,	PUNCT
ejpam-5845	299	41	max	max	PROPN
ejpam-5845	299	42	[	[	PUNCT
ejpam-5845	299	43	abtf̃	abtf̃	X
ejpam-5845	299	44	(	(	PUNCT
ejpam-5845	299	45	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	299	46	)	)	PUNCT
ejpam-5845	299	47	]	]	PUNCT
ejpam-5845	299	48	)	)	PUNCT
ejpam-5845	299	49	}	}	PUNCT
ejpam-5845	299	50	.	.	PUNCT
ejpam-5845	300	1	therefore	therefore	ADV
ejpam-5845	300	2	,	,	PUNCT
ejpam-5845	300	3	[	[	PUNCT
ejpam-5845	300	4	(	(	PUNCT
ejpam-5845	300	5	f̃	f̃	PROPN
ejpam-5845	300	6	,	,	PUNCT
ejpam-5845	300	7	é	é	PROPN
ejpam-5845	300	8	)	)	PUNCT
ejpam-5845	300	9	⋓	⋓	NOUN
ejpam-5845	300	10	(	(	PUNCT
ejpam-5845	300	11	g̃	g̃	PROPN
ejpam-5845	300	12	,	,	PUNCT
ejpam-5845	300	13	é	é	PROPN
ejpam-5845	300	14	)	)	PUNCT
ejpam-5845	300	15	]	]	PUNCT
ejpam-5845	300	16	c	c	X
ejpam-5845	300	17	=	=	SYM
ejpam-5845	300	18	(	(	PUNCT
ejpam-5845	300	19	f̃	f̃	PROPN
ejpam-5845	300	20	,	,	PUNCT
ejpam-5845	300	21	é)c	é)c	ADP
ejpam-5845	300	22	⋒	⋒	X
ejpam-5845	300	23	(	(	PUNCT
ejpam-5845	300	24	g̃	g̃	PROPN
ejpam-5845	300	25	,	,	PUNCT
ejpam-5845	300	26	é)c	é)c	NOUN
ejpam-5845	300	27	.	.	NOUN
ejpam-5845	300	28	similarly	similarly	ADV
ejpam-5845	300	29	,	,	PUNCT
ejpam-5845	300	30	∀e	∀e	PROPN
ejpam-5845	300	31	∈	∈	PROPN
ejpam-5845	300	32	é,∀s	é,∀s	PROPN
ejpam-5845	300	33	∈	∈	PROPN
ejpam-5845	300	34	m	m	PROPN
ejpam-5845	300	35	,	,	PUNCT
ejpam-5845	300	36	(	(	PUNCT
ejpam-5845	300	37	f̃	f̃	PROPN
ejpam-5845	300	38	,	,	PUNCT
ejpam-5845	300	39	é)⋒(g̃	é)⋒(g̃	NOUN
ejpam-5845	300	40	,	,	PUNCT
ejpam-5845	300	41	é	é	PROPN
ejpam-5845	300	42	)	)	PUNCT
ejpam-5845	300	43	=	=	PRON
ejpam-5845	300	44	{	{	PUNCT
ejpam-5845	300	45	(	(	PUNCT
ejpam-5845	300	46	s	s	PROPN
ejpam-5845	300	47	,	,	PUNCT
ejpam-5845	300	48	min	min	PROPN
ejpam-5845	300	49	[	[	PUNCT
ejpam-5845	300	50	abtf̃	abtf̃	X
ejpam-5845	300	51	(	(	PUNCT
ejpam-5845	300	52	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	300	53	)	)	PUNCT
ejpam-5845	300	54	]	]	PUNCT
ejpam-5845	300	55	,	,	PUNCT
ejpam-5845	300	56	min	min	NOUN
ejpam-5845	300	57	[	[	PUNCT
ejpam-5845	300	58	retf̃	retf̃	NOUN
ejpam-5845	300	59	(	(	PUNCT
ejpam-5845	300	60	e)(s),retg̃(e)(s	e)(s),retg̃(e)(s	PROPN
ejpam-5845	300	61	)	)	PUNCT
ejpam-5845	300	62	]	]	PUNCT
ejpam-5845	300	63	,	,	PUNCT
ejpam-5845	300	64	m.	m.	NOUN
ejpam-5845	300	65	m.	m.	PROPN
ejpam-5845	300	66	saeed	saeed	PROPN
ejpam-5845	300	67	et	et	PROPN
ejpam-5845	300	68	al	al	PROPN
ejpam-5845	300	69	.	.	PUNCT
ejpam-5845	300	70	/	/	SYM
ejpam-5845	300	71	eur	eur	PROPN
ejpam-5845	300	72	.	.	PUNCT
ejpam-5845	301	1	j.	j.	PROPN
ejpam-5845	301	2	pure	pure	PROPN
ejpam-5845	301	3	appl	appl	PROPN
ejpam-5845	301	4	.	.	PROPN
ejpam-5845	301	5	math	math	PROPN
ejpam-5845	301	6	,	,	PUNCT
ejpam-5845	301	7	18	18	NUM
ejpam-5845	301	8	(	(	PUNCT
ejpam-5845	301	9	2	2	NUM
ejpam-5845	301	10	)	)	PUNCT
ejpam-5845	301	11	(	(	PUNCT
ejpam-5845	301	12	2025	2025	NUM
ejpam-5845	301	13	)	)	PUNCT
ejpam-5845	301	14	,	,	PUNCT
ejpam-5845	301	15	5845	5845	NUM
ejpam-5845	301	16	12	12	NUM
ejpam-5845	301	17	of	of	ADP
ejpam-5845	301	18	32	32	NUM
ejpam-5845	301	19	max	max	NOUN
ejpam-5845	301	20	[	[	PUNCT
ejpam-5845	301	21	reff̃	reff̃	PROPN
ejpam-5845	301	22	(	(	PUNCT
ejpam-5845	301	23	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	301	24	)	)	PUNCT
ejpam-5845	301	25	]	]	PUNCT
ejpam-5845	301	26	,	,	PUNCT
ejpam-5845	301	27	max	max	PROPN
ejpam-5845	301	28	[	[	PUNCT
ejpam-5845	301	29	abff̃	abff̃	ADP
ejpam-5845	301	30	(	(	PUNCT
ejpam-5845	301	31	e)(s),abfg̃(e)(s	e)(s),abfg̃(e)(s	NOUN
ejpam-5845	301	32	)	)	PUNCT
ejpam-5845	301	33	]	]	PUNCT
ejpam-5845	301	34	)	)	PUNCT
ejpam-5845	301	35	}	}	PUNCT
ejpam-5845	301	36	.	.	PUNCT
ejpam-5845	302	1	[	[	PUNCT
ejpam-5845	302	2	(	(	PUNCT
ejpam-5845	302	3	f̃	f̃	PROPN
ejpam-5845	302	4	,	,	PUNCT
ejpam-5845	302	5	é	é	PROPN
ejpam-5845	302	6	)	)	PUNCT
ejpam-5845	302	7	⋒	⋒	PUNCT
ejpam-5845	302	8	(	(	PUNCT
ejpam-5845	302	9	g̃	g̃	PROPN
ejpam-5845	302	10	,	,	PUNCT
ejpam-5845	302	11	é	é	PROPN
ejpam-5845	302	12	)	)	PUNCT
ejpam-5845	302	13	]	]	PUNCT
ejpam-5845	302	14	c	c	X
ejpam-5845	302	15	=	=	SYM
ejpam-5845	302	16	(	(	PUNCT
ejpam-5845	302	17	f̃	f̃	PROPN
ejpam-5845	302	18	,	,	PUNCT
ejpam-5845	302	19	é)c	é)c	ADP
ejpam-5845	302	20	⋓	⋓	NOUN
ejpam-5845	302	21	(	(	PUNCT
ejpam-5845	302	22	g̃	g̃	PROPN
ejpam-5845	302	23	,	,	PUNCT
ejpam-5845	302	24	é)c	é)c	NOUN
ejpam-5845	302	25	.	.	PROPN
ejpam-5845	302	26	theorem	theorem	PROPN
ejpam-5845	302	27	3	3	X
ejpam-5845	302	28	.	.	PUNCT
ejpam-5845	303	1	let	let	VERB
ejpam-5845	303	2	(	(	PUNCT
ejpam-5845	303	3	f̃	f̃	PROPN
ejpam-5845	303	4	,	,	PUNCT
ejpam-5845	303	5	é	é	PROPN
ejpam-5845	303	6	)	)	PUNCT
ejpam-5845	303	7	and	and	CCONJ
ejpam-5845	304	1	(	(	PUNCT
ejpam-5845	304	2	g̃	g̃	PROPN
ejpam-5845	304	3	,	,	PUNCT
ejpam-5845	304	4	é	é	PROPN
ejpam-5845	304	5	)	)	PUNCT
ejpam-5845	304	6	be	be	VERB
ejpam-5845	304	7	quadri	quadri	NOUN
ejpam-5845	304	8	-	-	PUNCT
ejpam-5845	304	9	partitioned	partition	VERB
ejpam-5845	304	10	neutrosophic	neutrosophic	ADJ
ejpam-5845	304	11	soft	soft	ADJ
ejpam-5845	304	12	sets	set	NOUN
ejpam-5845	304	13	over	over	ADP
ejpam-5845	304	14	key	key	ADJ
ejpam-5845	304	15	set	set	NOUN
ejpam-5845	304	16	m.	m.	NOUN
ejpam-5845	304	17	then	then	ADV
ejpam-5845	304	18	:	:	PUNCT
ejpam-5845	305	1	1	1	X
ejpam-5845	305	2	.	.	PUNCT
ejpam-5845	306	1	[	[	X
ejpam-5845	306	2	(	(	PUNCT
ejpam-5845	306	3	f̃	f̃	PROPN
ejpam-5845	306	4	,	,	PUNCT
ejpam-5845	306	5	é)∨̃(g̃	é)∨̃(g̃	PROPN
ejpam-5845	306	6	,	,	PUNCT
ejpam-5845	306	7	é)]c	é)]c	NOUN
ejpam-5845	306	8	=	=	SYM
ejpam-5845	306	9	(	(	PUNCT
ejpam-5845	306	10	f̃	f̃	PROPN
ejpam-5845	306	11	,	,	PUNCT
ejpam-5845	306	12	é)c∧̃(g̃	é)c∧̃(g̃	NOUN
ejpam-5845	306	13	,	,	PUNCT
ejpam-5845	306	14	é)c	é)c	NOUN
ejpam-5845	306	15	.	.	PROPN
ejpam-5845	306	16	2	2	NUM
ejpam-5845	306	17	.	.	PUNCT
ejpam-5845	307	1	[	[	X
ejpam-5845	307	2	(	(	PUNCT
ejpam-5845	307	3	f̃	f̃	PROPN
ejpam-5845	307	4	,	,	PUNCT
ejpam-5845	307	5	é)∧̃(g̃	é)∧̃(g̃	NOUN
ejpam-5845	307	6	,	,	PUNCT
ejpam-5845	307	7	é)]c	é)]c	NOUN
ejpam-5845	307	8	=	=	SYM
ejpam-5845	307	9	(	(	PUNCT
ejpam-5845	307	10	f̃	f̃	PROPN
ejpam-5845	307	11	,	,	PUNCT
ejpam-5845	307	12	é)c∨̃(g̃	é)c∨̃(g̃	PROPN
ejpam-5845	307	13	,	,	PUNCT
ejpam-5845	307	14	é)c	é)c	NOUN
ejpam-5845	307	15	.	.	NOUN
ejpam-5845	307	16	proof	proof	NOUN
ejpam-5845	307	17	.	.	PUNCT
ejpam-5845	308	1	1	1	X
ejpam-5845	308	2	.	.	X
ejpam-5845	308	3	for	for	ADP
ejpam-5845	308	4	all	all	DET
ejpam-5845	308	5	(	(	PUNCT
ejpam-5845	308	6	e1	e1	PROPN
ejpam-5845	308	7	,	,	PUNCT
ejpam-5845	308	8	e2	e2	NOUN
ejpam-5845	308	9	)	)	PUNCT
ejpam-5845	308	10	∈	∈	PROPN
ejpam-5845	308	11	e×	e×	PROPN
ejpam-5845	308	12	e	e	PROPN
ejpam-5845	308	13	and	and	CCONJ
ejpam-5845	308	14	for	for	ADP
ejpam-5845	308	15	all	all	PRON
ejpam-5845	308	16	s	s	PART
ejpam-5845	308	17	∈	∈	NOUN
ejpam-5845	308	18	m	m	NOUN
ejpam-5845	308	19	:	:	PUNCT
ejpam-5845	308	20	(	(	PUNCT
ejpam-5845	308	21	f̃	f̃	PROPN
ejpam-5845	308	22	,	,	PUNCT
ejpam-5845	308	23	é)∨̃(g̃	é)∨̃(g̃	PROPN
ejpam-5845	308	24	,	,	PUNCT
ejpam-5845	308	25	é	é	PROPN
ejpam-5845	308	26	)	)	PUNCT
ejpam-5845	308	27	=	=	PUNCT
ejpam-5845	308	28	(	(	PUNCT
ejpam-5845	308	29	s	s	PROPN
ejpam-5845	308	30	,	,	PUNCT
ejpam-5845	308	31	max[abtf̃	max[abtf̃	X
ejpam-5845	308	32	(	(	PUNCT
ejpam-5845	308	33	e)(s),abtg̃(e)(s)],max[retf̃	e)(s),abtg̃(e)(s)],max[retf̃	PROPN
ejpam-5845	308	34	(	(	PUNCT
ejpam-5845	308	35	e)(s),retg̃(e)(s	e)(s),retg̃(e)(s	NOUN
ejpam-5845	308	36	)	)	PUNCT
ejpam-5845	308	37	]	]	PUNCT
ejpam-5845	308	38	,	,	PUNCT
ejpam-5845	308	39	min[reff̃	min[reff̃	PROPN
ejpam-5845	308	40	(	(	PUNCT
ejpam-5845	308	41	e)(s),refg̃(e)(s)],min[abff̃	e)(s),refg̃(e)(s)],min[abff̃	X
ejpam-5845	308	42	(	(	PUNCT
ejpam-5845	308	43	e)(s),abfg̃(e)(s	e)(s),abfg̃(e)(s	NOUN
ejpam-5845	308	44	)	)	PUNCT
ejpam-5845	308	45	]	]	PUNCT
ejpam-5845	308	46	)	)	PUNCT
ejpam-5845	308	47	.	.	PUNCT
ejpam-5845	309	1	taking	take	VERB
ejpam-5845	309	2	the	the	DET
ejpam-5845	309	3	complement	complement	NOUN
ejpam-5845	309	4	:	:	PUNCT
ejpam-5845	310	1	[	[	X
ejpam-5845	310	2	(	(	PUNCT
ejpam-5845	310	3	f̃	f̃	PROPN
ejpam-5845	310	4	,	,	PUNCT
ejpam-5845	310	5	é)∨̃(g̃	é)∨̃(g̃	PROPN
ejpam-5845	310	6	,	,	PUNCT
ejpam-5845	310	7	é)]c	é)]c	NOUN
ejpam-5845	310	8	=	=	SYM
ejpam-5845	310	9	(	(	PUNCT
ejpam-5845	310	10	s	s	PROPN
ejpam-5845	310	11	,	,	PUNCT
ejpam-5845	310	12	min[abff̃	min[abff̃	X
ejpam-5845	310	13	(	(	PUNCT
ejpam-5845	310	14	e)(s),abfg̃(e)(s)],min[reff̃	e)(s),abfg̃(e)(s)],min[reff̃	PROPN
ejpam-5845	310	15	(	(	PUNCT
ejpam-5845	310	16	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	310	17	)	)	PUNCT
ejpam-5845	310	18	]	]	PUNCT
ejpam-5845	310	19	,	,	PUNCT
ejpam-5845	310	20	max[retf̃	max[retf̃	NOUN
ejpam-5845	310	21	(	(	PUNCT
ejpam-5845	310	22	e)(s),retg̃(e)(s)],max[abtf̃	e)(s),retg̃(e)(s)],max[abtf̃	X
ejpam-5845	310	23	(	(	PUNCT
ejpam-5845	310	24	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	310	25	)	)	PUNCT
ejpam-5845	310	26	]	]	PUNCT
ejpam-5845	310	27	)	)	PUNCT
ejpam-5845	310	28	.	.	PUNCT
ejpam-5845	311	1	by	by	ADP
ejpam-5845	311	2	considering	consider	VERB
ejpam-5845	311	3	the	the	DET
ejpam-5845	311	4	individual	individual	ADJ
ejpam-5845	311	5	complements	complement	NOUN
ejpam-5845	311	6	:	:	PUNCT
ejpam-5845	311	7	(	(	PUNCT
ejpam-5845	311	8	f̃	f̃	PROPN
ejpam-5845	311	9	,	,	PUNCT
ejpam-5845	311	10	é)c	é)c	X
ejpam-5845	311	11	=	=	SYM
ejpam-5845	311	12	(	(	PUNCT
ejpam-5845	311	13	s	s	PROPN
ejpam-5845	311	14	,	,	PUNCT
ejpam-5845	311	15	abff̃	abff̃	ADV
ejpam-5845	311	16	(	(	PUNCT
ejpam-5845	311	17	e)(s),reff̃	e)(s),reff̃	PROPN
ejpam-5845	311	18	(	(	PUNCT
ejpam-5845	311	19	e)(s),retf̃	e)(s),retf̃	NOUN
ejpam-5845	311	20	(	(	PUNCT
ejpam-5845	311	21	e)(s),abtf̃	e)(s),abtf̃	NOUN
ejpam-5845	311	22	(	(	PUNCT
ejpam-5845	311	23	e)(s	e)(s	NOUN
ejpam-5845	311	24	)	)	PUNCT
ejpam-5845	311	25	)	)	PUNCT
ejpam-5845	311	26	,	,	PUNCT
ejpam-5845	311	27	(	(	PUNCT
ejpam-5845	311	28	g̃	g̃	PROPN
ejpam-5845	311	29	,	,	PUNCT
ejpam-5845	311	30	é)c	é)c	ADP
ejpam-5845	311	31	=	=	SYM
ejpam-5845	311	32	(	(	PUNCT
ejpam-5845	311	33	s	s	PROPN
ejpam-5845	311	34	,	,	PUNCT
ejpam-5845	311	35	abfg̃(e)(s),refg̃(e)(s),retg̃(e)(s),abtg̃(e)(s	abfg̃(e)(s),refg̃(e)(s),retg̃(e)(s),abtg̃(e)(s	NOUN
ejpam-5845	311	36	)	)	PUNCT
ejpam-5845	311	37	)	)	PUNCT
ejpam-5845	311	38	.	.	PUNCT
ejpam-5845	312	1	therefore	therefore	ADV
ejpam-5845	312	2	,	,	PUNCT
ejpam-5845	312	3	(	(	PUNCT
ejpam-5845	312	4	f̃	f̃	PROPN
ejpam-5845	312	5	,	,	PUNCT
ejpam-5845	312	6	é)c∧̃(g̃	é)c∧̃(g̃	ADJ
ejpam-5845	312	7	,	,	PUNCT
ejpam-5845	312	8	é)c	é)c	X
ejpam-5845	312	9	=	=	SYM
ejpam-5845	312	10	(	(	PUNCT
ejpam-5845	312	11	s	s	PROPN
ejpam-5845	312	12	,	,	PUNCT
ejpam-5845	312	13	min[abff̃	min[abff̃	X
ejpam-5845	312	14	(	(	PUNCT
ejpam-5845	312	15	e)(s),abfg̃(e)(s)],min[reff̃	e)(s),abfg̃(e)(s)],min[reff̃	PROPN
ejpam-5845	312	16	(	(	PUNCT
ejpam-5845	312	17	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	312	18	)	)	PUNCT
ejpam-5845	312	19	]	]	PUNCT
ejpam-5845	312	20	,	,	PUNCT
ejpam-5845	312	21	max[retf̃	max[retf̃	NOUN
ejpam-5845	312	22	(	(	PUNCT
ejpam-5845	312	23	e)(s),retg̃(e)(s)],max[abtf̃	e)(s),retg̃(e)(s)],max[abtf̃	X
ejpam-5845	312	24	(	(	PUNCT
ejpam-5845	312	25	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	312	26	)	)	PUNCT
ejpam-5845	312	27	]	]	PUNCT
ejpam-5845	312	28	)	)	PUNCT
ejpam-5845	312	29	.	.	PUNCT
ejpam-5845	313	1	hence	hence	ADV
ejpam-5845	313	2	,	,	PUNCT
ejpam-5845	313	3	[	[	X
ejpam-5845	313	4	(	(	PUNCT
ejpam-5845	313	5	f̃	f̃	PROPN
ejpam-5845	313	6	,	,	PUNCT
ejpam-5845	313	7	é)∨̃(g̃	é)∨̃(g̃	PROPN
ejpam-5845	313	8	,	,	PUNCT
ejpam-5845	313	9	é)]c	é)]c	NOUN
ejpam-5845	313	10	=	=	SYM
ejpam-5845	313	11	(	(	PUNCT
ejpam-5845	313	12	f̃	f̃	PROPN
ejpam-5845	313	13	,	,	PUNCT
ejpam-5845	313	14	é)c∧̃(g̃	é)c∧̃(g̃	NOUN
ejpam-5845	313	15	,	,	PUNCT
ejpam-5845	313	16	é)c	é)c	NOUN
ejpam-5845	313	17	.	.	PROPN
ejpam-5845	313	18	2	2	NUM
ejpam-5845	313	19	.	.	X
ejpam-5845	313	20	a	a	DET
ejpam-5845	313	21	similar	similar	ADJ
ejpam-5845	313	22	approach	approach	NOUN
ejpam-5845	313	23	can	can	AUX
ejpam-5845	313	24	be	be	AUX
ejpam-5845	313	25	used	use	VERB
ejpam-5845	313	26	to	to	PART
ejpam-5845	313	27	prove	prove	VERB
ejpam-5845	313	28	:	:	PUNCT
ejpam-5845	313	29	[	[	X
ejpam-5845	313	30	(	(	PUNCT
ejpam-5845	313	31	f̃	f̃	PROPN
ejpam-5845	313	32	,	,	PUNCT
ejpam-5845	313	33	é)∧̃(g̃	é)∧̃(g̃	NOUN
ejpam-5845	313	34	,	,	PUNCT
ejpam-5845	313	35	é)]c	é)]c	NOUN
ejpam-5845	313	36	=	=	SYM
ejpam-5845	313	37	(	(	PUNCT
ejpam-5845	313	38	f̃	f̃	PROPN
ejpam-5845	313	39	,	,	PUNCT
ejpam-5845	313	40	é)c∨̃(g̃	é)c∨̃(g̃	PROPN
ejpam-5845	313	41	,	,	PUNCT
ejpam-5845	313	42	é)c	é)c	NOUN
ejpam-5845	313	43	.	.	PROPN
ejpam-5845	313	44	example	example	NOUN
ejpam-5845	314	1	1	1	NUM
ejpam-5845	314	2	.	.	PUNCT
ejpam-5845	315	1	let	let	VERB
ejpam-5845	315	2	m	m	VERB
ejpam-5845	315	3	=	=	PRON
ejpam-5845	315	4	{	{	PUNCT
ejpam-5845	315	5	s1	s1	NOUN
ejpam-5845	315	6	,	,	PUNCT
ejpam-5845	315	7	s2	s2	PROPN
ejpam-5845	315	8	,	,	PUNCT
ejpam-5845	315	9	s3	s3	PROPN
ejpam-5845	315	10	}	}	PUNCT
ejpam-5845	315	11	be	be	VERB
ejpam-5845	315	12	the	the	DET
ejpam-5845	315	13	key	key	ADJ
ejpam-5845	315	14	set	set	NOUN
ejpam-5845	315	15	and	and	CCONJ
ejpam-5845	315	16	the	the	DET
ejpam-5845	315	17	set	set	NOUN
ejpam-5845	315	18	of	of	ADP
ejpam-5845	315	19	parameters	parameter	NOUN
ejpam-5845	315	20	e	e	NOUN
ejpam-5845	315	21	=	=	PRON
ejpam-5845	315	22	{	{	PUNCT
ejpam-5845	315	23	e1	e1	PROPN
ejpam-5845	315	24	,	,	PUNCT
ejpam-5845	315	25	e2	e2	PROPN
ejpam-5845	315	26	}	}	PUNCT
ejpam-5845	315	27	.	.	PUNCT
ejpam-5845	316	1	let	let	VERB
ejpam-5845	316	2	us	we	PRON
ejpam-5845	316	3	develop	develop	VERB
ejpam-5845	316	4	the	the	DET
ejpam-5845	316	5	quadri	quadri	NOUN
ejpam-5845	316	6	-	-	PUNCT
ejpam-5845	316	7	partitioned	partition	VERB
ejpam-5845	316	8	neutrosophic	neutrosophic	ADJ
ejpam-5845	316	9	soft	soft	ADJ
ejpam-5845	316	10	sets	set	NOUN
ejpam-5845	316	11	(	(	PUNCT
ejpam-5845	316	12	f̃	f̃	PROPN
ejpam-5845	316	13	,	,	PUNCT
ejpam-5845	316	14	é	é	PROPN
ejpam-5845	316	15	)	)	PUNCT
ejpam-5845	316	16	and	and	CCONJ
ejpam-5845	316	17	(	(	PUNCT
ejpam-5845	316	18	g̃	g̃	PROPN
ejpam-5845	316	19	,	,	PUNCT
ejpam-5845	316	20	é	é	PROPN
ejpam-5845	316	21	)	)	PUNCT
ejpam-5845	316	22	over	over	ADP
ejpam-5845	316	23	the	the	DET
ejpam-5845	316	24	key	key	ADJ
ejpam-5845	316	25	set	set	NOUN
ejpam-5845	316	26	m	m	NOUN
ejpam-5845	316	27	as	as	SCONJ
ejpam-5845	316	28	follows	follow	VERB
ejpam-5845	316	29	:	:	PUNCT
ejpam-5845	316	30	(	(	PUNCT
ejpam-5845	316	31	f̃	f̃	PROPN
ejpam-5845	316	32	,	,	PUNCT
ejpam-5845	316	33	é	é	PROPN
ejpam-5845	316	34	)	)	PUNCT
ejpam-5845	316	35	=	=	SYM
ejpam-5845	316	36	[	[	PUNCT
ejpam-5845	316	37	e1	e1	NOUN
ejpam-5845	316	38	=	=	SYM
ejpam-5845	316	39	⟨s1	⟨s1	PROPN
ejpam-5845	316	40	,	,	PUNCT
ejpam-5845	316	41	2	2	NUM
ejpam-5845	316	42	10	10	NUM
ejpam-5845	316	43	,	,	PUNCT
ejpam-5845	316	44	3	3	NUM
ejpam-5845	316	45	10	10	NUM
ejpam-5845	316	46	,	,	PUNCT
ejpam-5845	316	47	7	7	NUM
ejpam-5845	316	48	10	10	NUM
ejpam-5845	316	49	,	,	PUNCT
ejpam-5845	316	50	8	8	NUM
ejpam-5845	316	51	10⟩	10⟩	NUM
ejpam-5845	316	52	,	,	PUNCT
ejpam-5845	316	53	⟨s2	⟨s2	PROPN
ejpam-5845	316	54	,	,	PUNCT
ejpam-5845	316	55	4	4	NUM
ejpam-5845	316	56	10	10	NUM
ejpam-5845	316	57	,	,	PUNCT
ejpam-5845	316	58	4	4	NUM
ejpam-5845	316	59	10	10	NUM
ejpam-5845	316	60	,	,	PUNCT
ejpam-5845	316	61	6	6	NUM
ejpam-5845	316	62	10	10	NUM
ejpam-5845	316	63	,	,	PUNCT
ejpam-5845	316	64	4	4	NUM
ejpam-5845	316	65	10⟩	10⟩	NUM
ejpam-5845	316	66	,	,	PUNCT
ejpam-5845	316	67	⟨s3	⟨s3	PROPN
ejpam-5845	316	68	,	,	PUNCT
ejpam-5845	316	69	2	2	NUM
ejpam-5845	316	70	10	10	NUM
ejpam-5845	316	71	,	,	PUNCT
ejpam-5845	316	72	4	4	NUM
ejpam-5845	316	73	10	10	NUM
ejpam-5845	316	74	,	,	PUNCT
ejpam-5845	316	75	6	6	NUM
ejpam-5845	316	76	10	10	NUM
ejpam-5845	316	77	,	,	PUNCT
ejpam-5845	316	78	3	3	NUM
ejpam-5845	316	79	10⟩	10⟩	NUM
ejpam-5845	316	80	,	,	PUNCT
ejpam-5845	317	1	e2	e2	PROPN
ejpam-5845	317	2	=	=	PUNCT
ejpam-5845	317	3	⟨s1	⟨s1	PROPN
ejpam-5845	317	4	,	,	PUNCT
ejpam-5845	317	5	3	3	NUM
ejpam-5845	317	6	10	10	NUM
ejpam-5845	317	7	,	,	PUNCT
ejpam-5845	317	8	2	2	NUM
ejpam-5845	317	9	10	10	NUM
ejpam-5845	317	10	,	,	PUNCT
ejpam-5845	317	11	6	6	NUM
ejpam-5845	317	12	10	10	NUM
ejpam-5845	317	13	,	,	PUNCT
ejpam-5845	317	14	6	6	NUM
ejpam-5845	317	15	10⟩	10⟩	NUM
ejpam-5845	317	16	,	,	PUNCT
ejpam-5845	317	17	⟨s2	⟨s2	PROPN
ejpam-5845	317	18	,	,	PUNCT
ejpam-5845	317	19	1	1	NUM
ejpam-5845	317	20	10	10	NUM
ejpam-5845	317	21	,	,	PUNCT
ejpam-5845	317	22	5	5	NUM
ejpam-5845	317	23	10	10	NUM
ejpam-5845	317	24	,	,	PUNCT
ejpam-5845	317	25	6	6	NUM
ejpam-5845	317	26	10	10	NUM
ejpam-5845	317	27	,	,	PUNCT
ejpam-5845	317	28	5	5	NUM
ejpam-5845	317	29	10⟩	10⟩	NUM
ejpam-5845	317	30	,	,	PUNCT
ejpam-5845	317	31	⟨s3	⟨s3	PROPN
ejpam-5845	317	32	,	,	PUNCT
ejpam-5845	317	33	4	4	NUM
ejpam-5845	317	34	10	10	NUM
ejpam-5845	317	35	,	,	PUNCT
ejpam-5845	317	36	3	3	NUM
ejpam-5845	317	37	10	10	NUM
ejpam-5845	317	38	,	,	PUNCT
ejpam-5845	317	39	6	6	NUM
ejpam-5845	317	40	10	10	NUM
ejpam-5845	317	41	,	,	PUNCT
ejpam-5845	317	42	5	5	NUM
ejpam-5845	317	43	10⟩	10⟩	NUM
ejpam-5845	317	44	]	]	PUNCT
ejpam-5845	317	45	let	let	VERB
ejpam-5845	317	46	m	m	VERB
ejpam-5845	317	47	=	=	PUNCT
ejpam-5845	317	48	{	{	PUNCT
ejpam-5845	317	49	s1	s1	NOUN
ejpam-5845	317	50	,	,	PUNCT
ejpam-5845	317	51	s2	s2	PROPN
ejpam-5845	317	52	,	,	PUNCT
ejpam-5845	317	53	s3	s3	PROPN
ejpam-5845	317	54	}	}	PUNCT
ejpam-5845	317	55	be	be	VERB
ejpam-5845	317	56	the	the	DET
ejpam-5845	317	57	key	key	ADJ
ejpam-5845	317	58	set	set	NOUN
ejpam-5845	317	59	and	and	CCONJ
ejpam-5845	317	60	the	the	DET
ejpam-5845	317	61	set	set	NOUN
ejpam-5845	317	62	of	of	ADP
ejpam-5845	317	63	parameters	parameter	NOUN
ejpam-5845	317	64	e	e	NOUN
ejpam-5845	317	65	=	=	PRON
ejpam-5845	317	66	{	{	PUNCT
ejpam-5845	317	67	e1	e1	PROPN
ejpam-5845	317	68	,	,	PUNCT
ejpam-5845	317	69	e2	e2	PROPN
ejpam-5845	317	70	}	}	PUNCT
ejpam-5845	317	71	.	.	PUNCT
ejpam-5845	318	1	the	the	DET
ejpam-5845	318	2	quadri	quadri	NOUN
ejpam-5845	318	3	-	-	PUNCT
ejpam-5845	318	4	partitioned	partition	VERB
ejpam-5845	318	5	neutrosophic	neutrosophic	ADJ
ejpam-5845	318	6	soft	soft	ADJ
ejpam-5845	318	7	set	set	NOUN
ejpam-5845	318	8	(	(	PUNCT
ejpam-5845	318	9	g̃	g̃	PROPN
ejpam-5845	318	10	,	,	PUNCT
ejpam-5845	318	11	é	é	PROPN
ejpam-5845	318	12	)	)	PUNCT
ejpam-5845	318	13	over	over	ADP
ejpam-5845	318	14	the	the	DET
ejpam-5845	318	15	key	key	ADJ
ejpam-5845	318	16	set	set	NOUN
ejpam-5845	318	17	m	m	VERB
ejpam-5845	318	18	is	be	AUX
ejpam-5845	318	19	defined	define	VERB
ejpam-5845	318	20	as	as	ADP
ejpam-5845	318	21	:	:	PUNCT
ejpam-5845	318	22	(	(	PUNCT
ejpam-5845	318	23	g̃	g̃	PROPN
ejpam-5845	318	24	,	,	PUNCT
ejpam-5845	318	25	é	é	PROPN
ejpam-5845	318	26	)	)	PUNCT
ejpam-5845	318	27	=	=	SYM
ejpam-5845	319	1	[	[	PUNCT
ejpam-5845	319	2	e1	e1	NOUN
ejpam-5845	319	3	=	=	SYM
ejpam-5845	319	4	⟨s1	⟨s1	PROPN
ejpam-5845	319	5	,	,	PUNCT
ejpam-5845	319	6	4	4	NUM
ejpam-5845	319	7	10	10	NUM
ejpam-5845	319	8	,	,	PUNCT
ejpam-5845	319	9	3	3	NUM
ejpam-5845	319	10	10	10	NUM
ejpam-5845	319	11	,	,	PUNCT
ejpam-5845	319	12	6	6	NUM
ejpam-5845	319	13	10	10	NUM
ejpam-5845	319	14	,	,	PUNCT
ejpam-5845	319	15	6	6	NUM
ejpam-5845	319	16	10⟩	10⟩	NUM
ejpam-5845	319	17	,	,	PUNCT
ejpam-5845	319	18	⟨s2	⟨s2	PROPN
ejpam-5845	319	19	,	,	PUNCT
ejpam-5845	319	20	4	4	NUM
ejpam-5845	319	21	10	10	NUM
ejpam-5845	319	22	,	,	PUNCT
ejpam-5845	319	23	5	5	NUM
ejpam-5845	319	24	10	10	NUM
ejpam-5845	319	25	,	,	PUNCT
ejpam-5845	319	26	6	6	NUM
ejpam-5845	319	27	10	10	NUM
ejpam-5845	319	28	,	,	PUNCT
ejpam-5845	319	29	3	3	NUM
ejpam-5845	319	30	10⟩	10⟩	NUM
ejpam-5845	319	31	,	,	PUNCT
ejpam-5845	319	32	⟨s3	⟨s3	PROPN
ejpam-5845	319	33	,	,	PUNCT
ejpam-5845	319	34	3	3	NUM
ejpam-5845	319	35	10	10	NUM
ejpam-5845	319	36	,	,	PUNCT
ejpam-5845	319	37	5	5	NUM
ejpam-5845	319	38	10	10	NUM
ejpam-5845	319	39	,	,	PUNCT
ejpam-5845	319	40	6	6	NUM
ejpam-5845	319	41	10	10	NUM
ejpam-5845	319	42	,	,	PUNCT
ejpam-5845	319	43	2	2	NUM
ejpam-5845	319	44	10⟩	10⟩	NUM
ejpam-5845	319	45	,	,	PUNCT
ejpam-5845	319	46	e2	e2	PROPN
ejpam-5845	319	47	=	=	PUNCT
ejpam-5845	319	48	⟨s1	⟨s1	PROPN
ejpam-5845	319	49	,	,	PUNCT
ejpam-5845	319	50	3	3	NUM
ejpam-5845	319	51	10	10	NUM
ejpam-5845	319	52	,	,	PUNCT
ejpam-5845	319	53	4	4	NUM
ejpam-5845	319	54	10	10	NUM
ejpam-5845	319	55	,	,	PUNCT
ejpam-5845	319	56	6	6	NUM
ejpam-5845	319	57	10	10	NUM
ejpam-5845	319	58	,	,	PUNCT
ejpam-5845	319	59	5	5	NUM
ejpam-5845	319	60	10⟩	10⟩	NUM
ejpam-5845	319	61	,	,	PUNCT
ejpam-5845	319	62	⟨s2	⟨s2	PROPN
ejpam-5845	319	63	,	,	PUNCT
ejpam-5845	319	64	2	2	NUM
ejpam-5845	319	65	10	10	NUM
ejpam-5845	319	66	,	,	PUNCT
ejpam-5845	319	67	6	6	NUM
ejpam-5845	319	68	10	10	NUM
ejpam-5845	319	69	,	,	PUNCT
ejpam-5845	319	70	6	6	NUM
ejpam-5845	319	71	10	10	NUM
ejpam-5845	319	72	,	,	PUNCT
ejpam-5845	319	73	4	4	NUM
ejpam-5845	319	74	10⟩	10⟩	NUM
ejpam-5845	319	75	,	,	PUNCT
ejpam-5845	319	76	⟨s3	⟨s3	PROPN
ejpam-5845	319	77	,	,	PUNCT
ejpam-5845	319	78	4	4	NUM
ejpam-5845	319	79	10	10	NUM
ejpam-5845	319	80	,	,	PUNCT
ejpam-5845	319	81	6	6	NUM
ejpam-5845	319	82	10	10	NUM
ejpam-5845	319	83	,	,	PUNCT
ejpam-5845	319	84	6	6	NUM
ejpam-5845	319	85	10	10	NUM
ejpam-5845	319	86	,	,	PUNCT
ejpam-5845	319	87	3	3	NUM
ejpam-5845	319	88	10⟩	10⟩	NUM
ejpam-5845	319	89	]	]	PUNCT
ejpam-5845	319	90	then	then	ADV
ejpam-5845	319	91	,	,	PUNCT
ejpam-5845	319	92	their	their	PRON
ejpam-5845	319	93	union	union	NOUN
ejpam-5845	319	94	,	,	PUNCT
ejpam-5845	319	95	intersection	intersection	NOUN
ejpam-5845	319	96	,	,	PUNCT
ejpam-5845	319	97	and	and	CCONJ
ejpam-5845	319	98	,	,	PUNCT
ejpam-5845	319	99	and	and	CCONJ
ejpam-5845	319	100	or	or	CCONJ
ejpam-5845	319	101	operations	operation	NOUN
ejpam-5845	319	102	are	be	AUX
ejpam-5845	319	103	given	give	VERB
ejpam-5845	319	104	as	as	SCONJ
ejpam-5845	319	105	follows	follow	VERB
ejpam-5845	319	106	:	:	PUNCT
ejpam-5845	319	107	m.	m.	NOUN
ejpam-5845	319	108	m.	m.	PROPN
ejpam-5845	319	109	saeed	saeed	PROPN
ejpam-5845	319	110	et	et	PROPN
ejpam-5845	319	111	al	al	PROPN
ejpam-5845	319	112	.	.	PUNCT
ejpam-5845	319	113	/	/	SYM
ejpam-5845	319	114	eur	eur	PROPN
ejpam-5845	319	115	.	.	PUNCT
ejpam-5845	320	1	j.	j.	PROPN
ejpam-5845	320	2	pure	pure	PROPN
ejpam-5845	320	3	appl	appl	PROPN
ejpam-5845	320	4	.	.	PROPN
ejpam-5845	320	5	math	math	PROPN
ejpam-5845	320	6	,	,	PUNCT
ejpam-5845	320	7	18	18	NUM
ejpam-5845	320	8	(	(	PUNCT
ejpam-5845	320	9	2	2	NUM
ejpam-5845	320	10	)	)	PUNCT
ejpam-5845	320	11	(	(	PUNCT
ejpam-5845	320	12	2025	2025	NUM
ejpam-5845	320	13	)	)	PUNCT
ejpam-5845	320	14	,	,	PUNCT
ejpam-5845	320	15	5845	5845	NUM
ejpam-5845	320	16	13	13	NUM
ejpam-5845	320	17	of	of	ADP
ejpam-5845	320	18	32	32	NUM
ejpam-5845	320	19	(	(	PUNCT
ejpam-5845	320	20	f̃	f̃	PROPN
ejpam-5845	320	21	,	,	PUNCT
ejpam-5845	320	22	é	é	PROPN
ejpam-5845	320	23	)	)	PUNCT
ejpam-5845	320	24	⋓	⋓	NOUN
ejpam-5845	320	25	(	(	PUNCT
ejpam-5845	320	26	g̃	g̃	PROPN
ejpam-5845	320	27	,	,	PUNCT
ejpam-5845	320	28	é	é	PROPN
ejpam-5845	320	29	)	)	PUNCT
ejpam-5845	320	30	=	=	SYM
ejpam-5845	321	1	[	[	PUNCT
ejpam-5845	321	2	e1	e1	NOUN
ejpam-5845	321	3	=	=	SYM
ejpam-5845	321	4	⟨s1	⟨s1	PROPN
ejpam-5845	321	5	,	,	PUNCT
ejpam-5845	321	6	4	4	NUM
ejpam-5845	321	7	10	10	NUM
ejpam-5845	321	8	,	,	PUNCT
ejpam-5845	321	9	3	3	NUM
ejpam-5845	321	10	10	10	NUM
ejpam-5845	321	11	,	,	PUNCT
ejpam-5845	321	12	6	6	NUM
ejpam-5845	321	13	10	10	NUM
ejpam-5845	321	14	,	,	PUNCT
ejpam-5845	321	15	6	6	NUM
ejpam-5845	321	16	10⟩	10⟩	NUM
ejpam-5845	321	17	,	,	PUNCT
ejpam-5845	321	18	⟨s2	⟨s2	PROPN
ejpam-5845	321	19	,	,	PUNCT
ejpam-5845	321	20	4	4	NUM
ejpam-5845	321	21	10	10	NUM
ejpam-5845	321	22	,	,	PUNCT
ejpam-5845	321	23	5	5	NUM
ejpam-5845	321	24	10	10	NUM
ejpam-5845	321	25	,	,	PUNCT
ejpam-5845	321	26	6	6	NUM
ejpam-5845	321	27	10	10	NUM
ejpam-5845	321	28	,	,	PUNCT
ejpam-5845	321	29	3	3	NUM
ejpam-5845	321	30	10⟩	10⟩	NUM
ejpam-5845	321	31	,	,	PUNCT
ejpam-5845	321	32	⟨s3	⟨s3	PROPN
ejpam-5845	321	33	,	,	PUNCT
ejpam-5845	321	34	3	3	NUM
ejpam-5845	321	35	10	10	NUM
ejpam-5845	321	36	,	,	PUNCT
ejpam-5845	321	37	5	5	NUM
ejpam-5845	321	38	10	10	NUM
ejpam-5845	321	39	,	,	PUNCT
ejpam-5845	321	40	6	6	NUM
ejpam-5845	321	41	10	10	NUM
ejpam-5845	321	42	,	,	PUNCT
ejpam-5845	321	43	2	2	NUM
ejpam-5845	321	44	10⟩	10⟩	NUM
ejpam-5845	321	45	,	,	PUNCT
ejpam-5845	321	46	e2	e2	PROPN
ejpam-5845	321	47	=	=	PUNCT
ejpam-5845	321	48	⟨s1	⟨s1	PROPN
ejpam-5845	321	49	,	,	PUNCT
ejpam-5845	321	50	3	3	NUM
ejpam-5845	321	51	10	10	NUM
ejpam-5845	321	52	,	,	PUNCT
ejpam-5845	321	53	4	4	NUM
ejpam-5845	321	54	10	10	NUM
ejpam-5845	321	55	,	,	PUNCT
ejpam-5845	321	56	6	6	NUM
ejpam-5845	321	57	10	10	NUM
ejpam-5845	321	58	,	,	PUNCT
ejpam-5845	321	59	5	5	NUM
ejpam-5845	321	60	10⟩	10⟩	NUM
ejpam-5845	321	61	,	,	PUNCT
ejpam-5845	321	62	⟨s2	⟨s2	PROPN
ejpam-5845	321	63	,	,	PUNCT
ejpam-5845	321	64	2	2	NUM
ejpam-5845	321	65	10	10	NUM
ejpam-5845	321	66	,	,	PUNCT
ejpam-5845	321	67	6	6	NUM
ejpam-5845	321	68	10	10	NUM
ejpam-5845	321	69	,	,	PUNCT
ejpam-5845	321	70	6	6	NUM
ejpam-5845	321	71	10	10	NUM
ejpam-5845	321	72	,	,	PUNCT
ejpam-5845	321	73	4	4	NUM
ejpam-5845	321	74	10⟩	10⟩	NUM
ejpam-5845	321	75	,	,	PUNCT
ejpam-5845	321	76	⟨s3	⟨s3	PROPN
ejpam-5845	321	77	,	,	PUNCT
ejpam-5845	321	78	4	4	NUM
ejpam-5845	321	79	10	10	NUM
ejpam-5845	321	80	,	,	PUNCT
ejpam-5845	321	81	6	6	NUM
ejpam-5845	321	82	10	10	NUM
ejpam-5845	321	83	,	,	PUNCT
ejpam-5845	321	84	6	6	NUM
ejpam-5845	321	85	10	10	NUM
ejpam-5845	321	86	,	,	PUNCT
ejpam-5845	321	87	3	3	NUM
ejpam-5845	321	88	10⟩	10⟩	NUM
ejpam-5845	321	89	]	]	PUNCT
ejpam-5845	321	90	(	(	PUNCT
ejpam-5845	321	91	f̃	f̃	PROPN
ejpam-5845	321	92	,	,	PUNCT
ejpam-5845	321	93	é	é	PROPN
ejpam-5845	321	94	)	)	PUNCT
ejpam-5845	321	95	⋒	⋒	PUNCT
ejpam-5845	321	96	(	(	PUNCT
ejpam-5845	321	97	g̃	g̃	PROPN
ejpam-5845	321	98	,	,	PUNCT
ejpam-5845	321	99	é	é	PROPN
ejpam-5845	321	100	)	)	PUNCT
ejpam-5845	321	101	=	=	SYM
ejpam-5845	321	102	[	[	PUNCT
ejpam-5845	321	103	e1	e1	NOUN
ejpam-5845	321	104	=	=	SYM
ejpam-5845	321	105	⟨s1	⟨s1	PROPN
ejpam-5845	321	106	,	,	PUNCT
ejpam-5845	321	107	2	2	NUM
ejpam-5845	321	108	10	10	NUM
ejpam-5845	321	109	,	,	PUNCT
ejpam-5845	321	110	3	3	NUM
ejpam-5845	321	111	10	10	NUM
ejpam-5845	321	112	,	,	PUNCT
ejpam-5845	321	113	7	7	NUM
ejpam-5845	321	114	10	10	NUM
ejpam-5845	321	115	,	,	PUNCT
ejpam-5845	321	116	8	8	NUM
ejpam-5845	321	117	10⟩	10⟩	NUM
ejpam-5845	321	118	,	,	PUNCT
ejpam-5845	321	119	⟨s2	⟨s2	PROPN
ejpam-5845	321	120	,	,	PUNCT
ejpam-5845	321	121	4	4	NUM
ejpam-5845	321	122	10	10	NUM
ejpam-5845	321	123	,	,	PUNCT
ejpam-5845	321	124	4	4	NUM
ejpam-5845	321	125	10	10	NUM
ejpam-5845	321	126	,	,	PUNCT
ejpam-5845	321	127	6	6	NUM
ejpam-5845	321	128	10	10	NUM
ejpam-5845	321	129	,	,	PUNCT
ejpam-5845	321	130	4	4	NUM
ejpam-5845	321	131	10⟩	10⟩	NUM
ejpam-5845	321	132	,	,	PUNCT
ejpam-5845	321	133	⟨s3	⟨s3	PROPN
ejpam-5845	321	134	,	,	PUNCT
ejpam-5845	321	135	2	2	NUM
ejpam-5845	321	136	10	10	NUM
ejpam-5845	321	137	,	,	PUNCT
ejpam-5845	321	138	4	4	NUM
ejpam-5845	321	139	10	10	NUM
ejpam-5845	321	140	,	,	PUNCT
ejpam-5845	321	141	6	6	NUM
ejpam-5845	321	142	10	10	NUM
ejpam-5845	321	143	,	,	PUNCT
ejpam-5845	321	144	3	3	NUM
ejpam-5845	321	145	10⟩	10⟩	NUM
ejpam-5845	321	146	,	,	PUNCT
ejpam-5845	321	147	e2	e2	PROPN
ejpam-5845	321	148	=	=	PUNCT
ejpam-5845	321	149	⟨s1	⟨s1	PROPN
ejpam-5845	321	150	,	,	PUNCT
ejpam-5845	321	151	3	3	NUM
ejpam-5845	321	152	10	10	NUM
ejpam-5845	321	153	,	,	PUNCT
ejpam-5845	321	154	2	2	NUM
ejpam-5845	321	155	10	10	NUM
ejpam-5845	321	156	,	,	PUNCT
ejpam-5845	321	157	6	6	NUM
ejpam-5845	321	158	10	10	NUM
ejpam-5845	321	159	,	,	PUNCT
ejpam-5845	321	160	6	6	NUM
ejpam-5845	321	161	10⟩	10⟩	NUM
ejpam-5845	321	162	,	,	PUNCT
ejpam-5845	321	163	⟨s2	⟨s2	PROPN
ejpam-5845	321	164	,	,	PUNCT
ejpam-5845	321	165	1	1	NUM
ejpam-5845	321	166	10	10	NUM
ejpam-5845	321	167	,	,	PUNCT
ejpam-5845	321	168	5	5	NUM
ejpam-5845	321	169	10	10	NUM
ejpam-5845	321	170	,	,	PUNCT
ejpam-5845	321	171	6	6	NUM
ejpam-5845	321	172	10	10	NUM
ejpam-5845	321	173	,	,	PUNCT
ejpam-5845	321	174	5	5	NUM
ejpam-5845	321	175	10⟩	10⟩	NUM
ejpam-5845	321	176	,	,	PUNCT
ejpam-5845	321	177	⟨s3	⟨s3	PROPN
ejpam-5845	321	178	,	,	PUNCT
ejpam-5845	321	179	4	4	NUM
ejpam-5845	321	180	10	10	NUM
ejpam-5845	321	181	,	,	PUNCT
ejpam-5845	321	182	3	3	NUM
ejpam-5845	321	183	10	10	NUM
ejpam-5845	321	184	,	,	PUNCT
ejpam-5845	321	185	6	6	NUM
ejpam-5845	321	186	10	10	NUM
ejpam-5845	321	187	,	,	PUNCT
ejpam-5845	321	188	5	5	NUM
ejpam-5845	321	189	10⟩	10⟩	NUM
ejpam-5845	321	190	]	]	PUNCT
ejpam-5845	321	191	the	the	PRON
ejpam-5845	321	192	and	and	CCONJ
ejpam-5845	321	193	and	and	CCONJ
ejpam-5845	321	194	or	or	CCONJ
ejpam-5845	321	195	operations	operation	NOUN
ejpam-5845	321	196	of	of	ADP
ejpam-5845	321	197	the	the	DET
ejpam-5845	321	198	quadri	quadri	NOUN
ejpam-5845	321	199	-	-	PUNCT
ejpam-5845	321	200	partitioned	partition	VERB
ejpam-5845	321	201	neutrosophic	neutrosophic	ADJ
ejpam-5845	321	202	soft	soft	ADJ
ejpam-5845	321	203	sets	set	NOUN
ejpam-5845	321	204	are	be	AUX
ejpam-5845	321	205	defined	define	VERB
ejpam-5845	321	206	as	as	SCONJ
ejpam-5845	321	207	follows	follow	VERB
ejpam-5845	321	208	:	:	PUNCT
ejpam-5845	321	209	(	(	PUNCT
ejpam-5845	321	210	f̃	f̃	PROPN
ejpam-5845	321	211	,	,	PUNCT
ejpam-5845	321	212	é	é	PROPN
ejpam-5845	321	213	)	)	PUNCT
ejpam-5845	321	214	∧	∧	PROPN
ejpam-5845	321	215	(	(	PUNCT
ejpam-5845	321	216	g̃	g̃	PROPN
ejpam-5845	321	217	,	,	PUNCT
ejpam-5845	321	218	é	é	PROPN
ejpam-5845	321	219	)	)	PUNCT
ejpam-5845	321	220	=	=	SYM
ejpam-5845	321	221			NOUN
ejpam-5845	321	222	(	(	PUNCT
ejpam-5845	321	223	e1	e1	NOUN
ejpam-5845	321	224	,	,	PUNCT
ejpam-5845	321	225	e1	e1	NOUN
ejpam-5845	321	226	)	)	PUNCT
ejpam-5845	322	1	=	=	SYM
ejpam-5845	322	2	⟨s1	⟨s1	PROPN
ejpam-5845	322	3	,	,	PUNCT
ejpam-5845	322	4	2	2	NUM
ejpam-5845	322	5	10	10	NUM
ejpam-5845	322	6	,	,	PUNCT
ejpam-5845	322	7	3	3	NUM
ejpam-5845	322	8	10	10	NUM
ejpam-5845	322	9	,	,	PUNCT
ejpam-5845	322	10	7	7	NUM
ejpam-5845	322	11	10	10	NUM
ejpam-5845	322	12	,	,	PUNCT
ejpam-5845	322	13	8	8	NUM
ejpam-5845	322	14	10⟩	10⟩	NUM
ejpam-5845	322	15	,	,	PUNCT
ejpam-5845	322	16	⟨s2	⟨s2	PROPN
ejpam-5845	322	17	,	,	PUNCT
ejpam-5845	322	18	4	4	NUM
ejpam-5845	322	19	10	10	NUM
ejpam-5845	322	20	,	,	PUNCT
ejpam-5845	322	21	4	4	NUM
ejpam-5845	322	22	10	10	NUM
ejpam-5845	322	23	,	,	PUNCT
ejpam-5845	322	24	6	6	NUM
ejpam-5845	322	25	10	10	NUM
ejpam-5845	322	26	,	,	PUNCT
ejpam-5845	322	27	4	4	NUM
ejpam-5845	322	28	10⟩	10⟩	NUM
ejpam-5845	322	29	,	,	PUNCT
ejpam-5845	322	30	⟨s3	⟨s3	PROPN
ejpam-5845	322	31	,	,	PUNCT
ejpam-5845	322	32	2	2	NUM
ejpam-5845	322	33	10	10	NUM
ejpam-5845	322	34	,	,	PUNCT
ejpam-5845	322	35	4	4	NUM
ejpam-5845	322	36	10	10	NUM
ejpam-5845	322	37	,	,	PUNCT
ejpam-5845	322	38	6	6	NUM
ejpam-5845	322	39	10	10	NUM
ejpam-5845	322	40	,	,	PUNCT
ejpam-5845	322	41	3	3	NUM
ejpam-5845	322	42	10⟩	10⟩	NUM
ejpam-5845	322	43	,	,	PUNCT
ejpam-5845	322	44	(	(	PUNCT
ejpam-5845	322	45	e1	e1	PROPN
ejpam-5845	322	46	,	,	PUNCT
ejpam-5845	322	47	e2	e2	NOUN
ejpam-5845	322	48	)	)	PUNCT
ejpam-5845	322	49	=	=	SYM
ejpam-5845	323	1	⟨s1	⟨s1	PROPN
ejpam-5845	323	2	,	,	PUNCT
ejpam-5845	323	3	2	2	NUM
ejpam-5845	323	4	10	10	NUM
ejpam-5845	323	5	,	,	PUNCT
ejpam-5845	323	6	3	3	NUM
ejpam-5845	323	7	10	10	NUM
ejpam-5845	323	8	,	,	PUNCT
ejpam-5845	323	9	7	7	NUM
ejpam-5845	323	10	10	10	NUM
ejpam-5845	323	11	,	,	PUNCT
ejpam-5845	323	12	8	8	NUM
ejpam-5845	323	13	10⟩	10⟩	NUM
ejpam-5845	323	14	,	,	PUNCT
ejpam-5845	323	15	⟨s2	⟨s2	PROPN
ejpam-5845	323	16	,	,	PUNCT
ejpam-5845	323	17	2	2	NUM
ejpam-5845	323	18	10	10	NUM
ejpam-5845	323	19	,	,	PUNCT
ejpam-5845	323	20	4	4	NUM
ejpam-5845	323	21	10	10	NUM
ejpam-5845	323	22	,	,	PUNCT
ejpam-5845	323	23	6	6	NUM
ejpam-5845	323	24	10	10	NUM
ejpam-5845	323	25	,	,	PUNCT
ejpam-5845	323	26	4	4	NUM
ejpam-5845	323	27	10⟩	10⟩	NUM
ejpam-5845	323	28	,	,	PUNCT
ejpam-5845	323	29	⟨s3	⟨s3	PROPN
ejpam-5845	323	30	,	,	PUNCT
ejpam-5845	323	31	4	4	NUM
ejpam-5845	323	32	10	10	NUM
ejpam-5845	323	33	,	,	PUNCT
ejpam-5845	323	34	3	3	NUM
ejpam-5845	323	35	10	10	NUM
ejpam-5845	323	36	,	,	PUNCT
ejpam-5845	323	37	6	6	NUM
ejpam-5845	323	38	10	10	NUM
ejpam-5845	323	39	,	,	PUNCT
ejpam-5845	323	40	4	4	NUM
ejpam-5845	323	41	10⟩	10⟩	NUM
ejpam-5845	323	42	,	,	PUNCT
ejpam-5845	323	43	(	(	PUNCT
ejpam-5845	323	44	e2	e2	PROPN
ejpam-5845	323	45	,	,	PUNCT
ejpam-5845	323	46	e1	e1	PROPN
ejpam-5845	323	47	)	)	PUNCT
ejpam-5845	323	48	=	=	SYM
ejpam-5845	324	1	⟨s1	⟨s1	PROPN
ejpam-5845	324	2	,	,	PUNCT
ejpam-5845	324	3	3	3	NUM
ejpam-5845	324	4	10	10	NUM
ejpam-5845	324	5	,	,	PUNCT
ejpam-5845	324	6	2	2	NUM
ejpam-5845	324	7	10	10	NUM
ejpam-5845	324	8	,	,	PUNCT
ejpam-5845	324	9	7	7	NUM
ejpam-5845	324	10	10	10	NUM
ejpam-5845	324	11	,	,	PUNCT
ejpam-5845	324	12	6	6	NUM
ejpam-5845	324	13	10⟩	10⟩	NUM
ejpam-5845	324	14	,	,	PUNCT
ejpam-5845	324	15	⟨s2	⟨s2	PROPN
ejpam-5845	324	16	,	,	PUNCT
ejpam-5845	324	17	1	1	NUM
ejpam-5845	324	18	10	10	NUM
ejpam-5845	324	19	,	,	PUNCT
ejpam-5845	324	20	5	5	NUM
ejpam-5845	324	21	10	10	NUM
ejpam-5845	324	22	,	,	PUNCT
ejpam-5845	324	23	6	6	NUM
ejpam-5845	324	24	10	10	NUM
ejpam-5845	324	25	,	,	PUNCT
ejpam-5845	324	26	5	5	NUM
ejpam-5845	324	27	10⟩	10⟩	NUM
ejpam-5845	324	28	,	,	PUNCT
ejpam-5845	324	29	⟨s3	⟨s3	PROPN
ejpam-5845	324	30	,	,	PUNCT
ejpam-5845	324	31	3	3	NUM
ejpam-5845	324	32	10	10	NUM
ejpam-5845	324	33	,	,	PUNCT
ejpam-5845	324	34	3	3	NUM
ejpam-5845	324	35	10	10	NUM
ejpam-5845	324	36	,	,	PUNCT
ejpam-5845	324	37	6	6	NUM
ejpam-5845	324	38	10	10	NUM
ejpam-5845	324	39	,	,	PUNCT
ejpam-5845	324	40	4	4	NUM
ejpam-5845	324	41	10⟩	10⟩	NUM
ejpam-5845	324	42	,	,	PUNCT
ejpam-5845	324	43	(	(	PUNCT
ejpam-5845	324	44	e2	e2	PROPN
ejpam-5845	324	45	,	,	PUNCT
ejpam-5845	324	46	e2	e2	PROPN
ejpam-5845	324	47	)	)	PUNCT
ejpam-5845	324	48	=	=	SYM
ejpam-5845	325	1	⟨s1	⟨s1	PROPN
ejpam-5845	325	2	,	,	PUNCT
ejpam-5845	325	3	3	3	NUM
ejpam-5845	325	4	10	10	NUM
ejpam-5845	325	5	,	,	PUNCT
ejpam-5845	325	6	2	2	NUM
ejpam-5845	325	7	10	10	NUM
ejpam-5845	325	8	,	,	PUNCT
ejpam-5845	325	9	6	6	NUM
ejpam-5845	325	10	10	10	NUM
ejpam-5845	325	11	,	,	PUNCT
ejpam-5845	325	12	6	6	NUM
ejpam-5845	325	13	10⟩	10⟩	NUM
ejpam-5845	325	14	,	,	PUNCT
ejpam-5845	325	15	⟨s2	⟨s2	PROPN
ejpam-5845	325	16	,	,	PUNCT
ejpam-5845	325	17	1	1	NUM
ejpam-5845	325	18	10	10	NUM
ejpam-5845	325	19	,	,	PUNCT
ejpam-5845	325	20	5	5	NUM
ejpam-5845	325	21	10	10	NUM
ejpam-5845	325	22	,	,	PUNCT
ejpam-5845	325	23	6	6	NUM
ejpam-5845	325	24	10	10	NUM
ejpam-5845	325	25	,	,	PUNCT
ejpam-5845	325	26	5	5	NUM
ejpam-5845	325	27	10⟩	10⟩	NUM
ejpam-5845	325	28	,	,	PUNCT
ejpam-5845	325	29	⟨s3	⟨s3	PROPN
ejpam-5845	325	30	,	,	PUNCT
ejpam-5845	325	31	4	4	NUM
ejpam-5845	325	32	10	10	NUM
ejpam-5845	325	33	,	,	PUNCT
ejpam-5845	325	34	3	3	NUM
ejpam-5845	325	35	10	10	NUM
ejpam-5845	325	36	,	,	PUNCT
ejpam-5845	325	37	6	6	NUM
ejpam-5845	325	38	10	10	NUM
ejpam-5845	325	39	,	,	PUNCT
ejpam-5845	325	40	5	5	NUM
ejpam-5845	325	41	10⟩	10⟩	NUM
ejpam-5845	325	42			NOUN
ejpam-5845	325	43	(	(	PUNCT
ejpam-5845	325	44	f̃	f̃	PROPN
ejpam-5845	325	45	,	,	PUNCT
ejpam-5845	325	46	é	é	PROPN
ejpam-5845	325	47	)	)	PUNCT
ejpam-5845	325	48	∨	∨	NOUN
ejpam-5845	325	49	(	(	PUNCT
ejpam-5845	325	50	g̃	g̃	PROPN
ejpam-5845	325	51	,	,	PUNCT
ejpam-5845	325	52	é	é	PROPN
ejpam-5845	325	53	)	)	PUNCT
ejpam-5845	325	54	=	=	SYM
ejpam-5845	325	55			NOUN
ejpam-5845	325	56	(	(	PUNCT
ejpam-5845	325	57	e1	e1	NOUN
ejpam-5845	325	58	,	,	PUNCT
ejpam-5845	325	59	e1	e1	NOUN
ejpam-5845	325	60	)	)	PUNCT
ejpam-5845	325	61	=	=	SYM
ejpam-5845	326	1	⟨s1	⟨s1	PROPN
ejpam-5845	326	2	,	,	PUNCT
ejpam-5845	326	3	4	4	NUM
ejpam-5845	326	4	10	10	NUM
ejpam-5845	326	5	,	,	PUNCT
ejpam-5845	326	6	3	3	NUM
ejpam-5845	326	7	10	10	NUM
ejpam-5845	326	8	,	,	PUNCT
ejpam-5845	326	9	6	6	NUM
ejpam-5845	326	10	10	10	NUM
ejpam-5845	326	11	,	,	PUNCT
ejpam-5845	326	12	6	6	NUM
ejpam-5845	326	13	10⟩	10⟩	NUM
ejpam-5845	326	14	,	,	PUNCT
ejpam-5845	326	15	⟨s2	⟨s2	PROPN
ejpam-5845	326	16	,	,	PUNCT
ejpam-5845	326	17	4	4	NUM
ejpam-5845	326	18	10	10	NUM
ejpam-5845	326	19	,	,	PUNCT
ejpam-5845	326	20	5	5	NUM
ejpam-5845	326	21	10	10	NUM
ejpam-5845	326	22	,	,	PUNCT
ejpam-5845	326	23	6	6	NUM
ejpam-5845	326	24	10	10	NUM
ejpam-5845	326	25	,	,	PUNCT
ejpam-5845	326	26	3	3	NUM
ejpam-5845	326	27	10⟩	10⟩	NUM
ejpam-5845	326	28	,	,	PUNCT
ejpam-5845	326	29	⟨s3	⟨s3	PROPN
ejpam-5845	326	30	,	,	PUNCT
ejpam-5845	326	31	3	3	NUM
ejpam-5845	326	32	10	10	NUM
ejpam-5845	326	33	,	,	PUNCT
ejpam-5845	326	34	5	5	NUM
ejpam-5845	326	35	10	10	NUM
ejpam-5845	326	36	,	,	PUNCT
ejpam-5845	326	37	6	6	NUM
ejpam-5845	326	38	10	10	NUM
ejpam-5845	326	39	,	,	PUNCT
ejpam-5845	326	40	2	2	NUM
ejpam-5845	326	41	10⟩	10⟩	NUM
ejpam-5845	326	42	,	,	PUNCT
ejpam-5845	326	43	(	(	PUNCT
ejpam-5845	326	44	e1	e1	PROPN
ejpam-5845	326	45	,	,	PUNCT
ejpam-5845	326	46	e2	e2	NOUN
ejpam-5845	326	47	)	)	PUNCT
ejpam-5845	326	48	=	=	SYM
ejpam-5845	327	1	⟨s1	⟨s1	PROPN
ejpam-5845	327	2	,	,	PUNCT
ejpam-5845	327	3	2	2	NUM
ejpam-5845	327	4	10	10	NUM
ejpam-5845	327	5	,	,	PUNCT
ejpam-5845	327	6	3	3	NUM
ejpam-5845	327	7	10	10	NUM
ejpam-5845	327	8	,	,	PUNCT
ejpam-5845	327	9	7	7	NUM
ejpam-5845	327	10	10	10	NUM
ejpam-5845	327	11	,	,	PUNCT
ejpam-5845	327	12	8	8	NUM
ejpam-5845	327	13	10⟩	10⟩	NUM
ejpam-5845	327	14	,	,	PUNCT
ejpam-5845	327	15	⟨s2	⟨s2	PROPN
ejpam-5845	327	16	,	,	PUNCT
ejpam-5845	327	17	2	2	NUM
ejpam-5845	327	18	10	10	NUM
ejpam-5845	327	19	,	,	PUNCT
ejpam-5845	327	20	4	4	NUM
ejpam-5845	327	21	10	10	NUM
ejpam-5845	327	22	,	,	PUNCT
ejpam-5845	327	23	6	6	NUM
ejpam-5845	327	24	10	10	NUM
ejpam-5845	327	25	,	,	PUNCT
ejpam-5845	327	26	4	4	NUM
ejpam-5845	327	27	10⟩	10⟩	NUM
ejpam-5845	327	28	,	,	PUNCT
ejpam-5845	327	29	⟨s3	⟨s3	PROPN
ejpam-5845	327	30	,	,	PUNCT
ejpam-5845	327	31	4	4	NUM
ejpam-5845	327	32	10	10	NUM
ejpam-5845	327	33	,	,	PUNCT
ejpam-5845	327	34	3	3	NUM
ejpam-5845	327	35	10	10	NUM
ejpam-5845	327	36	,	,	PUNCT
ejpam-5845	327	37	6	6	NUM
ejpam-5845	327	38	10	10	NUM
ejpam-5845	327	39	,	,	PUNCT
ejpam-5845	327	40	4	4	NUM
ejpam-5845	327	41	10⟩	10⟩	NUM
ejpam-5845	327	42	,	,	PUNCT
ejpam-5845	327	43	(	(	PUNCT
ejpam-5845	327	44	e2	e2	PROPN
ejpam-5845	327	45	,	,	PUNCT
ejpam-5845	327	46	e1	e1	PROPN
ejpam-5845	327	47	)	)	PUNCT
ejpam-5845	327	48	=	=	SYM
ejpam-5845	328	1	⟨s1	⟨s1	PROPN
ejpam-5845	328	2	,	,	PUNCT
ejpam-5845	328	3	4	4	NUM
ejpam-5845	328	4	10	10	NUM
ejpam-5845	328	5	,	,	PUNCT
ejpam-5845	328	6	3	3	NUM
ejpam-5845	328	7	10	10	NUM
ejpam-5845	328	8	,	,	PUNCT
ejpam-5845	328	9	6	6	NUM
ejpam-5845	328	10	10	10	NUM
ejpam-5845	328	11	,	,	PUNCT
ejpam-5845	328	12	6	6	NUM
ejpam-5845	328	13	10⟩	10⟩	NUM
ejpam-5845	328	14	,	,	PUNCT
ejpam-5845	328	15	⟨s2	⟨s2	PROPN
ejpam-5845	328	16	,	,	PUNCT
ejpam-5845	328	17	4	4	NUM
ejpam-5845	328	18	10	10	NUM
ejpam-5845	328	19	,	,	PUNCT
ejpam-5845	328	20	5	5	NUM
ejpam-5845	328	21	10	10	NUM
ejpam-5845	328	22	,	,	PUNCT
ejpam-5845	328	23	6	6	NUM
ejpam-5845	328	24	10	10	NUM
ejpam-5845	328	25	,	,	PUNCT
ejpam-5845	328	26	3	3	NUM
ejpam-5845	328	27	10⟩	10⟩	NUM
ejpam-5845	328	28	,	,	PUNCT
ejpam-5845	328	29	⟨s3	⟨s3	PROPN
ejpam-5845	328	30	,	,	PUNCT
ejpam-5845	328	31	4	4	NUM
ejpam-5845	328	32	10	10	NUM
ejpam-5845	328	33	,	,	PUNCT
ejpam-5845	328	34	5	5	NUM
ejpam-5845	328	35	10	10	NUM
ejpam-5845	328	36	,	,	PUNCT
ejpam-5845	328	37	6	6	NUM
ejpam-5845	328	38	10	10	NUM
ejpam-5845	328	39	,	,	PUNCT
ejpam-5845	328	40	2	2	NUM
ejpam-5845	328	41	10⟩	10⟩	NUM
ejpam-5845	328	42	,	,	PUNCT
ejpam-5845	328	43	(	(	PUNCT
ejpam-5845	328	44	e2	e2	PROPN
ejpam-5845	328	45	,	,	PUNCT
ejpam-5845	328	46	e2	e2	PROPN
ejpam-5845	328	47	)	)	PUNCT
ejpam-5845	328	48	=	=	SYM
ejpam-5845	329	1	⟨s1	⟨s1	PROPN
ejpam-5845	329	2	,	,	PUNCT
ejpam-5845	329	3	3	3	NUM
ejpam-5845	329	4	10	10	NUM
ejpam-5845	329	5	,	,	PUNCT
ejpam-5845	329	6	4	4	NUM
ejpam-5845	329	7	10	10	NUM
ejpam-5845	329	8	,	,	PUNCT
ejpam-5845	329	9	6	6	NUM
ejpam-5845	329	10	10	10	NUM
ejpam-5845	329	11	,	,	PUNCT
ejpam-5845	329	12	5	5	NUM
ejpam-5845	329	13	10⟩	10⟩	NUM
ejpam-5845	329	14	,	,	PUNCT
ejpam-5845	329	15	⟨s2	⟨s2	PROPN
ejpam-5845	329	16	,	,	PUNCT
ejpam-5845	329	17	2	2	NUM
ejpam-5845	329	18	10	10	NUM
ejpam-5845	329	19	,	,	PUNCT
ejpam-5845	329	20	6	6	NUM
ejpam-5845	329	21	10	10	NUM
ejpam-5845	329	22	,	,	PUNCT
ejpam-5845	329	23	6	6	NUM
ejpam-5845	329	24	10	10	NUM
ejpam-5845	329	25	,	,	PUNCT
ejpam-5845	329	26	4	4	NUM
ejpam-5845	329	27	10⟩	10⟩	NUM
ejpam-5845	329	28	,	,	PUNCT
ejpam-5845	329	29	⟨s3	⟨s3	PROPN
ejpam-5845	329	30	,	,	PUNCT
ejpam-5845	329	31	4	4	NUM
ejpam-5845	329	32	10	10	NUM
ejpam-5845	329	33	,	,	PUNCT
ejpam-5845	329	34	6	6	NUM
ejpam-5845	329	35	10	10	NUM
ejpam-5845	329	36	,	,	PUNCT
ejpam-5845	329	37	6	6	NUM
ejpam-5845	329	38	10	10	NUM
ejpam-5845	329	39	,	,	PUNCT
ejpam-5845	329	40	3	3	NUM
ejpam-5845	329	41	10⟩	10⟩	NUM
ejpam-5845	329	42			ADJ
ejpam-5845	329	43	4	4	NUM
ejpam-5845	329	44	.	.	PUNCT
ejpam-5845	330	1	a	a	DET
ejpam-5845	330	2	new	new	ADJ
ejpam-5845	330	3	approach	approach	NOUN
ejpam-5845	330	4	to	to	ADP
ejpam-5845	330	5	operations	operation	NOUN
ejpam-5845	330	6	on	on	ADP
ejpam-5845	330	7	quadri	quadri	NOUN
ejpam-5845	330	8	-	-	PUNCT
ejpam-5845	330	9	partitioned	partition	VERB
ejpam-5845	330	10	neutrosophic	neutrosophic	ADJ
ejpam-5845	330	11	soft	soft	ADJ
ejpam-5845	330	12	topological	topological	ADJ
ejpam-5845	330	13	space	space	NOUN
ejpam-5845	330	14	the	the	DET
ejpam-5845	330	15	notion	notion	NOUN
ejpam-5845	330	16	of	of	ADP
ejpam-5845	330	17	quadri	quadri	NOUN
ejpam-5845	330	18	-	-	PUNCT
ejpam-5845	330	19	partitioned	partition	VERB
ejpam-5845	330	20	neutrosophic	neutrosophic	ADJ
ejpam-5845	330	21	soft	soft	ADJ
ejpam-5845	330	22	topological	topological	ADJ
ejpam-5845	330	23	space	space	NOUN
ejpam-5845	330	24	is	be	AUX
ejpam-5845	330	25	presented	present	VERB
ejpam-5845	330	26	in	in	ADP
ejpam-5845	330	27	this	this	DET
ejpam-5845	330	28	section	section	NOUN
ejpam-5845	330	29	.	.	PUNCT
ejpam-5845	331	1	the	the	DET
ejpam-5845	331	2	terms	term	NOUN
ejpam-5845	331	3	qpns	qpns	VERB
ejpam-5845	331	4	semi	semi	ADJ
ejpam-5845	331	5	-	-	ADJ
ejpam-5845	331	6	open	open	ADJ
ejpam-5845	331	7	,	,	PUNCT
ejpam-5845	331	8	qpns	qpns	NOUN
ejpam-5845	331	9	pre	pre	ADJ
ejpam-5845	331	10	-	-	ADJ
ejpam-5845	331	11	open	open	ADJ
ejpam-5845	331	12	and	and	CCONJ
ejpam-5845	331	13	qpns	qpns	NOUN
ejpam-5845	331	14	∗bopen	∗bopen	ADJ
ejpam-5845	331	15	sets	set	NOUN
ejpam-5845	331	16	are	be	AUX
ejpam-5845	331	17	defined	define	VERB
ejpam-5845	331	18	.	.	PUNCT
ejpam-5845	332	1	one	one	NUM
ejpam-5845	332	2	of	of	ADP
ejpam-5845	332	3	these	these	DET
ejpam-5845	332	4	intriguing	intriguing	ADJ
ejpam-5845	332	5	qpns	qpns	NOUN
ejpam-5845	332	6	generalized	generalize	VERB
ejpam-5845	332	7	open	open	ADJ
ejpam-5845	332	8	sets	set	NOUN
ejpam-5845	332	9	,	,	PUNCT
ejpam-5845	332	10	referred	refer	VERB
ejpam-5845	332	11	to	to	ADP
ejpam-5845	332	12	as	as	ADP
ejpam-5845	332	13	the	the	DET
ejpam-5845	332	14	qpns	qpns	NOUN
ejpam-5845	332	15	pre	pre	ADJ
ejpam-5845	332	16	-	-	ADJ
ejpam-5845	332	17	open	open	ADJ
ejpam-5845	332	18	set	set	NOUN
ejpam-5845	332	19	,	,	PUNCT
ejpam-5845	332	20	is	be	AUX
ejpam-5845	332	21	selected	select	VERB
ejpam-5845	332	22	,	,	PUNCT
ejpam-5845	332	23	and	and	CCONJ
ejpam-5845	332	24	certain	certain	ADJ
ejpam-5845	332	25	fundamentals	fundamental	NOUN
ejpam-5845	332	26	are	be	AUX
ejpam-5845	332	27	then	then	ADV
ejpam-5845	332	28	produced	produce	VERB
ejpam-5845	332	29	based	base	VERB
ejpam-5845	332	30	on	on	ADP
ejpam-5845	332	31	this	this	DET
ejpam-5845	332	32	description	description	NOUN
ejpam-5845	332	33	.	.	PUNCT
ejpam-5845	333	1	these	these	DET
ejpam-5845	333	2	consist	consist	NOUN
ejpam-5845	333	3	of	of	ADP
ejpam-5845	333	4	the	the	DET
ejpam-5845	333	5	qpns	qpns	NOUN
ejpam-5845	333	6	closer	close	ADJ
ejpam-5845	333	7	,	,	PUNCT
ejpam-5845	333	8	qpns	qpns	NOUN
ejpam-5845	333	9	exterior	exterior	NOUN
ejpam-5845	333	10	,	,	PUNCT
ejpam-5845	333	11	qpns	qpns	NOUN
ejpam-5845	333	12	boundary	boundary	NOUN
ejpam-5845	333	13	,	,	PUNCT
ejpam-5845	333	14	and	and	CCONJ
ejpam-5845	333	15	qpns	qpns	NOUN
ejpam-5845	333	16	interior	interior	NOUN
ejpam-5845	333	17	.	.	PUNCT
ejpam-5845	334	1	definition	definition	NOUN
ejpam-5845	334	2	21	21	NUM
ejpam-5845	334	3	.	.	PUNCT
ejpam-5845	335	1	let	let	VERB
ejpam-5845	335	2	the	the	DET
ejpam-5845	335	3	quadri	quadri	NOUN
ejpam-5845	335	4	-	-	PUNCT
ejpam-5845	335	5	partitioned	partition	VERB
ejpam-5845	335	6	neutrosophic	neutrosophic	ADJ
ejpam-5845	335	7	soft	soft	ADJ
ejpam-5845	335	8	set	set	NOUN
ejpam-5845	335	9	(	(	PUNCT
ejpam-5845	335	10	m̃	m̃	PROPN
ejpam-5845	335	11	,	,	PUNCT
ejpam-5845	335	12	é	é	PROPN
ejpam-5845	335	13	)	)	PUNCT
ejpam-5845	335	14	be	be	VERB
ejpam-5845	335	15	the	the	DET
ejpam-5845	335	16	family	family	NOUN
ejpam-5845	335	17	of	of	ADP
ejpam-5845	335	18	all	all	DET
ejpam-5845	335	19	quadri	quadri	NOUN
ejpam-5845	335	20	-	-	PUNCT
ejpam-5845	335	21	partitioned	partition	VERB
ejpam-5845	335	22	neutrosophic	neutrosophic	ADJ
ejpam-5845	335	23	soft	soft	ADJ
ejpam-5845	335	24	sets	set	NOUN
ejpam-5845	335	25	,	,	PUNCT
ejpam-5845	335	26	and	and	CCONJ
ejpam-5845	335	27	let	let	VERB
ejpam-5845	335	28	τ	τ	PROPN
ejpam-5845	335	29	⊂	⊂	PROPN
ejpam-5845	335	30	qpnss(m̃	qpnss(m̃	PROPN
ejpam-5845	335	31	,	,	PUNCT
ejpam-5845	335	32	é	é	PROPN
ejpam-5845	335	33	)	)	PUNCT
ejpam-5845	335	34	.	.	PUNCT
ejpam-5845	336	1	then	then	ADV
ejpam-5845	336	2	,	,	PUNCT
ejpam-5845	336	3	τ	τ	PROPN
ejpam-5845	336	4	is	be	AUX
ejpam-5845	336	5	a	a	DET
ejpam-5845	336	6	quadripartitioned	quadripartitione	VERB
ejpam-5845	336	7	neutrosophic	neutrosophic	ADJ
ejpam-5845	336	8	soft	soft	ADJ
ejpam-5845	336	9	topology	topology	NOUN
ejpam-5845	336	10	(	(	PUNCT
ejpam-5845	336	11	qpnst	qpnst	ADJ
ejpam-5845	336	12	)	)	PUNCT
ejpam-5845	336	13	on	on	ADP
ejpam-5845	336	14	m̃	m̃	PROPN
ejpam-5845	336	15	if	if	SCONJ
ejpam-5845	336	16	:	:	PUNCT
ejpam-5845	336	17	(	(	PUNCT
ejpam-5845	336	18	i	i	NOUN
ejpam-5845	336	19	)	)	PUNCT
ejpam-5845	336	20	0(⟨m⟩,é	0(⟨m⟩,é	NUM
ejpam-5845	336	21	)	)	PUNCT
ejpam-5845	336	22	,	,	PUNCT
ejpam-5845	336	23	1(⟨m⟩,é	1(⟨m⟩,é	NUM
ejpam-5845	336	24	)	)	PUNCT
ejpam-5845	336	25	∈	∈	PROPN
ejpam-5845	336	26	τ	τ	X
ejpam-5845	336	27	,	,	PUNCT
ejpam-5845	336	28	(	(	PUNCT
ejpam-5845	336	29	ii	ii	NOUN
ejpam-5845	336	30	)	)	PUNCT
ejpam-5845	336	31	the	the	DET
ejpam-5845	336	32	union	union	NOUN
ejpam-5845	336	33	of	of	ADP
ejpam-5845	336	34	any	any	DET
ejpam-5845	336	35	number	number	NOUN
ejpam-5845	336	36	of	of	ADP
ejpam-5845	336	37	quadri	quadri	NOUN
ejpam-5845	336	38	-	-	PUNCT
ejpam-5845	336	39	partitioned	partition	VERB
ejpam-5845	336	40	neutrosophic	neutrosophic	ADJ
ejpam-5845	336	41	soft	soft	ADJ
ejpam-5845	336	42	sets	set	NOUN
ejpam-5845	336	43	in	in	ADP
ejpam-5845	336	44	τ	τ	PROPN
ejpam-5845	336	45	is	be	AUX
ejpam-5845	336	46	in	in	ADP
ejpam-5845	336	47	τ	τ	PROPN
ejpam-5845	336	48	,	,	PUNCT
ejpam-5845	336	49	(	(	PUNCT
ejpam-5845	336	50	iii	iii	X
ejpam-5845	336	51	)	)	PUNCT
ejpam-5845	336	52	the	the	DET
ejpam-5845	336	53	intersection	intersection	NOUN
ejpam-5845	336	54	of	of	ADP
ejpam-5845	336	55	a	a	DET
ejpam-5845	336	56	finite	finite	ADJ
ejpam-5845	336	57	number	number	NOUN
ejpam-5845	336	58	of	of	ADP
ejpam-5845	336	59	quadri	quadri	NOUN
ejpam-5845	336	60	-	-	PUNCT
ejpam-5845	336	61	partitioned	partition	VERB
ejpam-5845	336	62	neutrosophic	neutrosophic	ADJ
ejpam-5845	336	63	soft	soft	ADJ
ejpam-5845	336	64	sets	set	NOUN
ejpam-5845	336	65	in	in	ADP
ejpam-5845	336	66	τ	τ	PROPN
ejpam-5845	336	67	is	be	AUX
ejpam-5845	336	68	in	in	ADP
ejpam-5845	336	69	τ	τ	PROPN
ejpam-5845	336	70	.	.	PUNCT
ejpam-5845	337	1	then	then	ADV
ejpam-5845	337	2	,	,	PUNCT
ejpam-5845	337	3	(	(	PUNCT
ejpam-5845	337	4	m̃	m̃	PROPN
ejpam-5845	337	5	,	,	PUNCT
ejpam-5845	337	6	τ	τ	PROPN
ejpam-5845	337	7	,	,	PUNCT
ejpam-5845	337	8	é	é	PROPN
ejpam-5845	337	9	)	)	PUNCT
ejpam-5845	337	10	is	be	AUX
ejpam-5845	337	11	said	say	VERB
ejpam-5845	337	12	to	to	PART
ejpam-5845	337	13	be	be	AUX
ejpam-5845	337	14	a	a	DET
ejpam-5845	337	15	quadri	quadri	NOUN
ejpam-5845	337	16	-	-	PUNCT
ejpam-5845	337	17	partitioned	partition	VERB
ejpam-5845	337	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	337	19	soft	soft	ADJ
ejpam-5845	337	20	topological	topological	ADJ
ejpam-5845	337	21	space	space	NOUN
ejpam-5845	337	22	(	(	PUNCT
ejpam-5845	337	23	qpnsts	qpnst	NOUN
ejpam-5845	337	24	)	)	PUNCT
ejpam-5845	337	25	over	over	ADP
ejpam-5845	337	26	m̃.	m̃.	ADJ
ejpam-5845	337	27	definition	definition	NOUN
ejpam-5845	337	28	22	22	NUM
ejpam-5845	337	29	.	.	PUNCT
ejpam-5845	338	1	a	a	DET
ejpam-5845	338	2	quadri	quadri	NOUN
ejpam-5845	338	3	-	-	PUNCT
ejpam-5845	338	4	partitioned	partition	VERB
ejpam-5845	338	5	neutrosophic	neutrosophic	ADJ
ejpam-5845	338	6	soft	soft	ADJ
ejpam-5845	338	7	topological	topological	ADJ
ejpam-5845	338	8	space	space	NOUN
ejpam-5845	338	9	(	(	PUNCT
ejpam-5845	338	10	m̃	m̃	PROPN
ejpam-5845	338	11	,	,	PUNCT
ejpam-5845	338	12	τ	τ	PROPN
ejpam-5845	338	13	,	,	PUNCT
ejpam-5845	338	14	é	é	PROPN
ejpam-5845	338	15	)	)	PUNCT
ejpam-5845	338	16	over	over	ADP
ejpam-5845	338	17	m̃	m̃	PROPN
ejpam-5845	338	18	is	be	AUX
ejpam-5845	338	19	denoted	denote	VERB
ejpam-5845	338	20	as	as	ADP
ejpam-5845	338	21	qpnsts	qpnst	NOUN
ejpam-5845	338	22	.	.	PUNCT
ejpam-5845	339	1	a	a	DET
ejpam-5845	339	2	quadri	quadri	NOUN
ejpam-5845	339	3	-	-	PUNCT
ejpam-5845	339	4	partitioned	partition	VERB
ejpam-5845	339	5	neutrosophic	neutrosophic	ADJ
ejpam-5845	339	6	soft	soft	ADJ
ejpam-5845	339	7	set	set	NOUN
ejpam-5845	339	8	(	(	PUNCT
ejpam-5845	339	9	f̃	f̃	PROPN
ejpam-5845	339	10	,	,	PUNCT
ejpam-5845	339	11	é	é	PROPN
ejpam-5845	339	12	)	)	PUNCT
ejpam-5845	339	13	is	be	AUX
ejpam-5845	339	14	a	a	DET
ejpam-5845	339	15	qpns	qpns	NOUN
ejpam-5845	339	16	neighborhood	neighborhood	NOUN
ejpam-5845	339	17	of	of	ADP
ejpam-5845	339	18	a	a	DET
ejpam-5845	339	19	qpns	qpns	NOUN
ejpam-5845	339	20	point	point	NOUN
ejpam-5845	339	21	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	339	22	∈	∈	PROPN
ejpam-5845	339	23	(	(	PUNCT
ejpam-5845	339	24	f̃	f̃	PROPN
ejpam-5845	339	25	,	,	PUNCT
ejpam-5845	339	26	é	é	PROPN
ejpam-5845	339	27	)	)	PUNCT
ejpam-5845	339	28	,	,	PUNCT
ejpam-5845	339	29	if	if	SCONJ
ejpam-5845	339	30	there	there	PRON
ejpam-5845	339	31	exists	exist	VERB
ejpam-5845	339	32	a	a	DET
ejpam-5845	339	33	qpns	qpns	NOUN
ejpam-5845	339	34	open	open	ADJ
ejpam-5845	339	35	set	set	NOUN
ejpam-5845	339	36	(	(	PUNCT
ejpam-5845	339	37	g̃	g̃	PROPN
ejpam-5845	339	38	,	,	PUNCT
ejpam-5845	339	39	é	é	PROPN
ejpam-5845	339	40	)	)	PUNCT
ejpam-5845	339	41	such	such	ADJ
ejpam-5845	339	42	that	that	SCONJ
ejpam-5845	339	43	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	339	44	∈	∈	PROPN
ejpam-5845	339	45	(	(	PUNCT
ejpam-5845	339	46	g̃	g̃	PROPN
ejpam-5845	339	47	,	,	PUNCT
ejpam-5845	339	48	é	é	PROPN
ejpam-5845	339	49	)	)	PUNCT
ejpam-5845	339	50	.	.	PUNCT
ejpam-5845	340	1	definition	definition	NOUN
ejpam-5845	340	2	23	23	NUM
ejpam-5845	340	3	.	.	PUNCT
ejpam-5845	341	1	let	let	VERB
ejpam-5845	341	2	(	(	PUNCT
ejpam-5845	341	3	m	m	NOUN
ejpam-5845	341	4	,	,	PUNCT
ejpam-5845	341	5	τ1	τ1	NOUN
ejpam-5845	341	6	,	,	PUNCT
ejpam-5845	341	7	é	é	PROPN
ejpam-5845	341	8	)	)	PUNCT
ejpam-5845	341	9	and	and	CCONJ
ejpam-5845	341	10	(	(	PUNCT
ejpam-5845	341	11	m	m	PROPN
ejpam-5845	341	12	,	,	PUNCT
ejpam-5845	341	13	τ2	τ2	PROPN
ejpam-5845	341	14	,	,	PUNCT
ejpam-5845	341	15	é	é	PROPN
ejpam-5845	341	16	)	)	PUNCT
ejpam-5845	341	17	be	be	VERB
ejpam-5845	341	18	two	two	NUM
ejpam-5845	341	19	quadri	quadri	NOUN
ejpam-5845	341	20	-	-	PUNCT
ejpam-5845	341	21	partitioned	partition	VERB
ejpam-5845	341	22	neutrosophic	neutrosophic	ADJ
ejpam-5845	341	23	soft	soft	ADJ
ejpam-5845	341	24	topological	topological	ADJ
ejpam-5845	341	25	spaces	space	NOUN
ejpam-5845	341	26	.	.	PUNCT
ejpam-5845	342	1	then	then	ADV
ejpam-5845	342	2	,	,	PUNCT
ejpam-5845	342	3	(	(	PUNCT
ejpam-5845	342	4	m	m	NOUN
ejpam-5845	342	5	,	,	PUNCT
ejpam-5845	342	6	τ1	τ1	NOUN
ejpam-5845	342	7	,	,	PUNCT
ejpam-5845	342	8	τ2	τ2	PROPN
ejpam-5845	342	9	,	,	PUNCT
ejpam-5845	342	10	é	é	PROPN
ejpam-5845	342	11	)	)	PUNCT
ejpam-5845	342	12	is	be	AUX
ejpam-5845	342	13	called	call	VERB
ejpam-5845	342	14	a	a	DET
ejpam-5845	342	15	quadri	quadri	NOUN
ejpam-5845	342	16	-	-	PUNCT
ejpam-5845	342	17	partitioned	partition	VERB
ejpam-5845	342	18	neutrosophic	neutrosophic	ADJ
ejpam-5845	342	19	soft	soft	ADJ
ejpam-5845	342	20	bitopological	bitopological	ADJ
ejpam-5845	342	21	space	space	NOUN
ejpam-5845	342	22	(	(	PUNCT
ejpam-5845	342	23	qpnsbts	qpnsbt	NOUN
ejpam-5845	342	24	)	)	PUNCT
ejpam-5845	342	25	.	.	PUNCT
ejpam-5845	343	1	if	if	SCONJ
ejpam-5845	343	2	(	(	PUNCT
ejpam-5845	343	3	m	m	NOUN
ejpam-5845	343	4	,	,	PUNCT
ejpam-5845	343	5	τ1	τ1	NOUN
ejpam-5845	343	6	,	,	PUNCT
ejpam-5845	343	7	τ2	τ2	PROPN
ejpam-5845	343	8	,	,	PUNCT
ejpam-5845	343	9	é	é	PROPN
ejpam-5845	343	10	)	)	PUNCT
ejpam-5845	343	11	is	be	AUX
ejpam-5845	343	12	a	a	DET
ejpam-5845	343	13	quadri	quadri	NOUN
ejpam-5845	343	14	-	-	PUNCT
ejpam-5845	343	15	partitioned	partition	VERB
ejpam-5845	343	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	343	17	soft	soft	ADJ
ejpam-5845	343	18	topological	topological	ADJ
ejpam-5845	343	19	space	space	NOUN
ejpam-5845	343	20	,	,	PUNCT
ejpam-5845	343	21	a	a	DET
ejpam-5845	343	22	qpnss	qpnss	NOUN
ejpam-5845	343	23	subset	subset	NOUN
ejpam-5845	343	24	(	(	PUNCT
ejpam-5845	343	25	f̃	f̃	PROPN
ejpam-5845	343	26	,	,	PUNCT
ejpam-5845	343	27	é	é	PROPN
ejpam-5845	343	28	)	)	PUNCT
ejpam-5845	343	29	is	be	AUX
ejpam-5845	343	30	open	open	ADJ
ejpam-5845	343	31	in	in	ADP
ejpam-5845	343	32	(	(	PUNCT
ejpam-5845	343	33	m	m	PROPN
ejpam-5845	343	34	,	,	PUNCT
ejpam-5845	343	35	τ1	τ1	NOUN
ejpam-5845	343	36	,	,	PUNCT
ejpam-5845	343	37	τ2	τ2	PROPN
ejpam-5845	343	38	,	,	PUNCT
ejpam-5845	343	39	é	é	PROPN
ejpam-5845	343	40	)	)	PUNCT
ejpam-5845	343	41	if	if	SCONJ
ejpam-5845	343	42	there	there	PRON
ejpam-5845	343	43	exist	exist	VERB
ejpam-5845	343	44	a	a	DET
ejpam-5845	343	45	qpnss	qpnss	NOUN
ejpam-5845	343	46	open	open	ADJ
ejpam-5845	343	47	set	set	NOUN
ejpam-5845	343	48	(	(	PUNCT
ejpam-5845	343	49	g̃	g̃	PROPN
ejpam-5845	343	50	,	,	PUNCT
ejpam-5845	343	51	é	é	PROPN
ejpam-5845	343	52	)	)	PUNCT
ejpam-5845	343	53	∈	∈	PROPN
ejpam-5845	343	54	τ1	τ1	NOUN
ejpam-5845	343	55	and	and	CCONJ
ejpam-5845	343	56	a	a	DET
ejpam-5845	343	57	qpnss	qpnss	NOUN
ejpam-5845	343	58	open	open	ADJ
ejpam-5845	343	59	set	set	NOUN
ejpam-5845	343	60	(	(	PUNCT
ejpam-5845	343	61	h̃	h̃	PROPN
ejpam-5845	343	62	,	,	PUNCT
ejpam-5845	343	63	é	é	PROPN
ejpam-5845	343	64	)	)	PUNCT
ejpam-5845	343	65	∈	∈	PROPN
ejpam-5845	343	66	τ2	τ2	NOUN
ejpam-5845	343	67	such	such	ADJ
ejpam-5845	343	68	that	that	SCONJ
ejpam-5845	343	69	:	:	PUNCT
ejpam-5845	343	70	(	(	PUNCT
ejpam-5845	343	71	f̃	f̃	PROPN
ejpam-5845	343	72	,	,	PUNCT
ejpam-5845	343	73	é	é	PROPN
ejpam-5845	343	74	)	)	PUNCT
ejpam-5845	343	75	=	=	SYM
ejpam-5845	343	76	(	(	PUNCT
ejpam-5845	343	77	g̃	g̃	PROPN
ejpam-5845	343	78	,	,	PUNCT
ejpam-5845	343	79	é	é	PROPN
ejpam-5845	343	80	)	)	PUNCT
ejpam-5845	343	81	⋓	⋓	NOUN
ejpam-5845	343	82	(	(	PUNCT
ejpam-5845	343	83	h̃	h̃	PROPN
ejpam-5845	343	84	,	,	PUNCT
ejpam-5845	343	85	é	é	PROPN
ejpam-5845	343	86	)	)	PUNCT
ejpam-5845	343	87	.	.	PUNCT
ejpam-5845	344	1	m.	m.	NOUN
ejpam-5845	344	2	m.	m.	PROPN
ejpam-5845	344	3	saeed	saeed	PROPN
ejpam-5845	344	4	et	et	PROPN
ejpam-5845	344	5	al	al	PROPN
ejpam-5845	344	6	.	.	PUNCT
ejpam-5845	344	7	/	/	SYM
ejpam-5845	344	8	eur	eur	PROPN
ejpam-5845	344	9	.	.	PUNCT
ejpam-5845	345	1	j.	j.	PROPN
ejpam-5845	345	2	pure	pure	PROPN
ejpam-5845	345	3	appl	appl	PROPN
ejpam-5845	345	4	.	.	PROPN
ejpam-5845	345	5	math	math	PROPN
ejpam-5845	345	6	,	,	PUNCT
ejpam-5845	345	7	18	18	NUM
ejpam-5845	345	8	(	(	PUNCT
ejpam-5845	345	9	2	2	NUM
ejpam-5845	345	10	)	)	PUNCT
ejpam-5845	345	11	(	(	PUNCT
ejpam-5845	345	12	2025	2025	NUM
ejpam-5845	345	13	)	)	PUNCT
ejpam-5845	345	14	,	,	PUNCT
ejpam-5845	345	15	5845	5845	NUM
ejpam-5845	345	16	14	14	NUM
ejpam-5845	345	17	of	of	ADP
ejpam-5845	345	18	32	32	NUM
ejpam-5845	345	19	theorem	theorem	NOUN
ejpam-5845	345	20	4	4	NUM
ejpam-5845	345	21	.	.	PUNCT
ejpam-5845	346	1	let	let	AUX
ejpam-5845	346	2	(	(	PUNCT
ejpam-5845	346	3	m	m	NOUN
ejpam-5845	346	4	,	,	PUNCT
ejpam-5845	346	5	τ1	τ1	NOUN
ejpam-5845	346	6	,	,	PUNCT
ejpam-5845	346	7	τ2	τ2	PROPN
ejpam-5845	346	8	,	,	PUNCT
ejpam-5845	346	9	é	é	PROPN
ejpam-5845	346	10	)	)	PUNCT
ejpam-5845	346	11	be	be	VERB
ejpam-5845	346	12	a	a	DET
ejpam-5845	346	13	quadri	quadri	NOUN
ejpam-5845	346	14	-	-	PUNCT
ejpam-5845	346	15	partitioned	partition	VERB
ejpam-5845	346	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	346	17	soft	soft	ADJ
ejpam-5845	346	18	topological	topological	ADJ
ejpam-5845	346	19	space	space	NOUN
ejpam-5845	346	20	.	.	PUNCT
ejpam-5845	347	1	then	then	ADV
ejpam-5845	347	2	τ1	τ1	AUX
ejpam-5845	347	3	⋒	⋒	PUNCT
ejpam-5845	347	4	τ2	τ2	NOUN
ejpam-5845	347	5	is	be	AUX
ejpam-5845	347	6	a	a	DET
ejpam-5845	347	7	quadri	quadri	NOUN
ejpam-5845	347	8	-	-	PUNCT
ejpam-5845	347	9	partitioned	partition	VERB
ejpam-5845	347	10	neutrosophic	neutrosophic	ADJ
ejpam-5845	347	11	soft	soft	ADJ
ejpam-5845	347	12	topological	topological	ADJ
ejpam-5845	347	13	space	space	NOUN
ejpam-5845	347	14	on	on	ADP
ejpam-5845	347	15	m.	m.	NOUN
ejpam-5845	347	16	proof	proof	NOUN
ejpam-5845	347	17	.	.	PUNCT
ejpam-5845	348	1	the	the	DET
ejpam-5845	348	2	first	first	ADJ
ejpam-5845	348	3	and	and	CCONJ
ejpam-5845	348	4	third	third	ADJ
ejpam-5845	348	5	requirements	requirement	NOUN
ejpam-5845	348	6	are	be	AUX
ejpam-5845	348	7	clear	clear	ADJ
ejpam-5845	348	8	,	,	PUNCT
ejpam-5845	348	9	and	and	CCONJ
ejpam-5845	348	10	we	we	PRON
ejpam-5845	348	11	move	move	VERB
ejpam-5845	348	12	forward	forward	ADV
ejpam-5845	348	13	as	as	SCONJ
ejpam-5845	348	14	follows	follow	VERB
ejpam-5845	348	15	for	for	ADP
ejpam-5845	348	16	the	the	DET
ejpam-5845	348	17	second	second	ADJ
ejpam-5845	348	18	condition	condition	NOUN
ejpam-5845	348	19	.	.	PUNCT
ejpam-5845	349	1	let	let	VERB
ejpam-5845	349	2	{	{	PUNCT
ejpam-5845	349	3	(	(	PUNCT
ejpam-5845	349	4	υ̃i	υ̃i	NOUN
ejpam-5845	349	5	,	,	PUNCT
ejpam-5845	349	6	é	é	PROPN
ejpam-5845	349	7	)	)	PUNCT
ejpam-5845	349	8	;	;	PUNCT
ejpam-5845	349	9	i	i	PRON
ejpam-5845	349	10	∈	∈	VERB
ejpam-5845	349	11	i	i	PRON
ejpam-5845	349	12	}	}	PUNCT
ejpam-5845	349	13	∈	∈	PROPN
ejpam-5845	349	14	τ1	τ1	NOUN
ejpam-5845	349	15	⋒	⋒	PUNCT
ejpam-5845	349	16	τ2	τ2	PROPN
ejpam-5845	349	17	.	.	PUNCT
ejpam-5845	350	1	then	then	ADV
ejpam-5845	350	2	(	(	PUNCT
ejpam-5845	350	3	υ̃i	υ̃i	NOUN
ejpam-5845	350	4	,	,	PUNCT
ejpam-5845	350	5	é	é	PROPN
ejpam-5845	350	6	)	)	PUNCT
ejpam-5845	350	7	∈	∈	PROPN
ejpam-5845	350	8	τ1	τ1	NOUN
ejpam-5845	350	9	and	and	CCONJ
ejpam-5845	350	10	(	(	PUNCT
ejpam-5845	350	11	υ̃i	υ̃i	NOUN
ejpam-5845	350	12	,	,	PUNCT
ejpam-5845	350	13	é	é	PROPN
ejpam-5845	350	14	)	)	PUNCT
ejpam-5845	350	15	∈	∈	PROPN
ejpam-5845	350	16	τ2	τ2	NOUN
ejpam-5845	350	17	.	.	PUNCT
ejpam-5845	351	1	since	since	SCONJ
ejpam-5845	351	2	τ1	τ1	NOUN
ejpam-5845	351	3	and	and	CCONJ
ejpam-5845	351	4	τ2	τ2	NOUN
ejpam-5845	351	5	are	be	AUX
ejpam-5845	351	6	quadri	quadri	NOUN
ejpam-5845	351	7	-	-	PUNCT
ejpam-5845	351	8	partitioned	partition	VERB
ejpam-5845	351	9	neutrosophic	neutrosophic	ADJ
ejpam-5845	351	10	soft	soft	ADJ
ejpam-5845	351	11	topological	topological	ADJ
ejpam-5845	351	12	spaces	space	NOUN
ejpam-5845	351	13	on	on	ADP
ejpam-5845	351	14	m	m	PROPN
ejpam-5845	351	15	,	,	PUNCT
ejpam-5845	351	16	it	it	PRON
ejpam-5845	351	17	follows	follow	VERB
ejpam-5845	351	18	that:⋃	that:⋃	ADJ
ejpam-5845	351	19	i∈i	i∈i	ADJ
ejpam-5845	351	20	(	(	PUNCT
ejpam-5845	351	21	υ̃i	υ̃i	NOUN
ejpam-5845	351	22	,	,	PUNCT
ejpam-5845	351	23	é	é	PROPN
ejpam-5845	351	24	)	)	PUNCT
ejpam-5845	351	25	∈	∈	PROPN
ejpam-5845	351	26	τ1	τ1	NOUN
ejpam-5845	351	27	,	,	PUNCT
ejpam-5845	351	28	⋃	⋃	PROPN
ejpam-5845	351	29	i∈i	i∈i	ADJ
ejpam-5845	351	30	(	(	PUNCT
ejpam-5845	351	31	υ̃i	υ̃i	NOUN
ejpam-5845	351	32	,	,	PUNCT
ejpam-5845	351	33	é	é	PROPN
ejpam-5845	351	34	)	)	PUNCT
ejpam-5845	351	35	∈	∈	PROPN
ejpam-5845	351	36	τ2	τ2	NOUN
ejpam-5845	351	37	.	.	PUNCT
ejpam-5845	352	1	thus	thus	ADV
ejpam-5845	352	2	,	,	PUNCT
ejpam-5845	352	3	we	we	PRON
ejpam-5845	352	4	conclude	conclude	VERB
ejpam-5845	352	5	that	that	PRON
ejpam-5845	352	6	:	:	PUNCT
ejpam-5845	352	7	⋃	⋃	PUNCT
ejpam-5845	352	8	i∈i	i∈i	ADJ
ejpam-5845	352	9	(	(	PUNCT
ejpam-5845	352	10	υ̃i	υ̃i	NOUN
ejpam-5845	352	11	,	,	PUNCT
ejpam-5845	352	12	é	é	PROPN
ejpam-5845	352	13	)	)	PUNCT
ejpam-5845	352	14	∈	∈	PROPN
ejpam-5845	352	15	τ1	τ1	NOUN
ejpam-5845	352	16	⋒	⋒	PUNCT
ejpam-5845	352	17	τ2	τ2	PROPN
ejpam-5845	352	18	.	.	PUNCT
ejpam-5845	353	1	remark	remark	NOUN
ejpam-5845	353	2	1	1	NUM
ejpam-5845	353	3	.	.	PUNCT
ejpam-5845	354	1	let	let	AUX
ejpam-5845	354	2	(	(	PUNCT
ejpam-5845	354	3	m	m	NOUN
ejpam-5845	354	4	,	,	PUNCT
ejpam-5845	354	5	τ1	τ1	NOUN
ejpam-5845	354	6	,	,	PUNCT
ejpam-5845	354	7	τ2	τ2	PROPN
ejpam-5845	354	8	,	,	PUNCT
ejpam-5845	354	9	é	é	PROPN
ejpam-5845	354	10	)	)	PUNCT
ejpam-5845	354	11	be	be	VERB
ejpam-5845	354	12	a	a	DET
ejpam-5845	354	13	quadri	quadri	NOUN
ejpam-5845	354	14	-	-	PUNCT
ejpam-5845	354	15	partitioned	partition	VERB
ejpam-5845	354	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	354	17	soft	soft	ADJ
ejpam-5845	354	18	topological	topological	ADJ
ejpam-5845	354	19	space	space	NOUN
ejpam-5845	354	20	.	.	PUNCT
ejpam-5845	355	1	then	then	ADV
ejpam-5845	355	2	τ1	τ1	ADP
ejpam-5845	355	3	⋓	⋓	NOUN
ejpam-5845	355	4	τ2	τ2	NOUN
ejpam-5845	355	5	need	need	AUX
ejpam-5845	355	6	not	not	PART
ejpam-5845	355	7	be	be	AUX
ejpam-5845	355	8	a	a	DET
ejpam-5845	355	9	quadri	quadri	NOUN
ejpam-5845	355	10	-	-	PUNCT
ejpam-5845	355	11	partitioned	partition	VERB
ejpam-5845	355	12	neutrosophic	neutrosophic	ADJ
ejpam-5845	355	13	soft	soft	ADJ
ejpam-5845	355	14	topological	topological	ADJ
ejpam-5845	355	15	space	space	NOUN
ejpam-5845	355	16	on	on	ADP
ejpam-5845	355	17	m.	m.	NOUN
ejpam-5845	355	18	this	this	PRON
ejpam-5845	355	19	is	be	AUX
ejpam-5845	355	20	illustrated	illustrate	VERB
ejpam-5845	355	21	in	in	ADP
ejpam-5845	355	22	the	the	DET
ejpam-5845	355	23	following	following	ADJ
ejpam-5845	355	24	example	example	NOUN
ejpam-5845	355	25	2	2	NUM
ejpam-5845	355	26	.	.	NOUN
ejpam-5845	355	27	example	example	NOUN
ejpam-5845	356	1	2	2	NUM
ejpam-5845	356	2	.	.	PUNCT
ejpam-5845	356	3	let	let	VERB
ejpam-5845	356	4	m	m	VERB
ejpam-5845	356	5	=	=	PRON
ejpam-5845	356	6	{	{	PUNCT
ejpam-5845	356	7	s1	s1	NOUN
ejpam-5845	356	8	,	,	PUNCT
ejpam-5845	356	9	s2	s2	PROPN
ejpam-5845	356	10	,	,	PUNCT
ejpam-5845	356	11	s3	s3	PROPN
ejpam-5845	356	12	}	}	PUNCT
ejpam-5845	356	13	,	,	PUNCT
ejpam-5845	356	14	é	é	PROPN
ejpam-5845	356	15	=	=	SYM
ejpam-5845	356	16	{	{	PUNCT
ejpam-5845	356	17	e1	e1	PROPN
ejpam-5845	356	18	,	,	PUNCT
ejpam-5845	356	19	e2	e2	PROPN
ejpam-5845	356	20	}	}	PUNCT
ejpam-5845	356	21	,	,	PUNCT
ejpam-5845	356	22	and	and	CCONJ
ejpam-5845	356	23	define	define	VERB
ejpam-5845	356	24	the	the	DET
ejpam-5845	356	25	topologies	topology	NOUN
ejpam-5845	356	26	:	:	PUNCT
ejpam-5845	356	27	τ1	τ1	NOUN
ejpam-5845	356	28	=	=	SYM
ejpam-5845	356	29	{	{	PUNCT
ejpam-5845	356	30	0(m	0(m	NOUN
ejpam-5845	356	31	,	,	PUNCT
ejpam-5845	356	32	é	é	PROPN
ejpam-5845	356	33	)	)	PUNCT
ejpam-5845	356	34	,	,	PUNCT
ejpam-5845	356	35	1(m	1(m	NUM
ejpam-5845	356	36	,	,	PUNCT
ejpam-5845	356	37	é	é	PROPN
ejpam-5845	356	38	)	)	PUNCT
ejpam-5845	356	39	,	,	PUNCT
ejpam-5845	356	40	(	(	PUNCT
ejpam-5845	356	41	υ̃	υ̃	PROPN
ejpam-5845	356	42	,	,	PUNCT
ejpam-5845	356	43	é	é	PROPN
ejpam-5845	356	44	)	)	PUNCT
ejpam-5845	356	45	,	,	PUNCT
ejpam-5845	356	46	(	(	PUNCT
ejpam-5845	356	47	ξ̃	ξ̃	PROPN
ejpam-5845	356	48	,	,	PUNCT
ejpam-5845	356	49	é	é	PROPN
ejpam-5845	356	50	)	)	PUNCT
ejpam-5845	356	51	,	,	PUNCT
ejpam-5845	356	52	(	(	PUNCT
ejpam-5845	356	53	λ̃	λ̃	PROPN
ejpam-5845	356	54	,	,	PUNCT
ejpam-5845	356	55	é	é	PROPN
ejpam-5845	356	56	)	)	PUNCT
ejpam-5845	356	57	}	}	PUNCT
ejpam-5845	356	58	,	,	PUNCT
ejpam-5845	356	59	τ2	τ2	NOUN
ejpam-5845	356	60	=	=	SYM
ejpam-5845	356	61	{	{	PUNCT
ejpam-5845	356	62	0(m	0(m	NOUN
ejpam-5845	356	63	,	,	PUNCT
ejpam-5845	356	64	é	é	PROPN
ejpam-5845	356	65	)	)	PUNCT
ejpam-5845	356	66	,	,	PUNCT
ejpam-5845	356	67	1(m	1(m	NUM
ejpam-5845	356	68	,	,	PUNCT
ejpam-5845	356	69	é	é	PROPN
ejpam-5845	356	70	)	)	PUNCT
ejpam-5845	356	71	,	,	PUNCT
ejpam-5845	356	72	(	(	PUNCT
ejpam-5845	356	73	ĩ	ĩ	PROPN
ejpam-5845	356	74	,	,	PUNCT
ejpam-5845	356	75	é	é	PROPN
ejpam-5845	356	76	)	)	PUNCT
ejpam-5845	356	77	,	,	PUNCT
ejpam-5845	356	78	(	(	PUNCT
ejpam-5845	356	79	j̃	j̃	PROPN
ejpam-5845	356	80	,	,	PUNCT
ejpam-5845	356	81	é	é	PROPN
ejpam-5845	356	82	)	)	PUNCT
ejpam-5845	356	83	}	}	PUNCT
ejpam-5845	356	84	.	.	PUNCT
ejpam-5845	357	1	where	where	SCONJ
ejpam-5845	357	2	(	(	PUNCT
ejpam-5845	357	3	υ̃	υ̃	PROPN
ejpam-5845	357	4	,	,	PUNCT
ejpam-5845	357	5	é	é	PROPN
ejpam-5845	357	6	)	)	PUNCT
ejpam-5845	357	7	,	,	PUNCT
ejpam-5845	357	8	(	(	PUNCT
ejpam-5845	357	9	ξ̃	ξ̃	PROPN
ejpam-5845	357	10	,	,	PUNCT
ejpam-5845	357	11	é	é	PROPN
ejpam-5845	357	12	)	)	PUNCT
ejpam-5845	357	13	,	,	PUNCT
ejpam-5845	357	14	(	(	PUNCT
ejpam-5845	357	15	λ̃	λ̃	PROPN
ejpam-5845	357	16	,	,	PUNCT
ejpam-5845	357	17	é	é	PROPN
ejpam-5845	357	18	)	)	PUNCT
ejpam-5845	357	19	,	,	PUNCT
ejpam-5845	357	20	(	(	PUNCT
ejpam-5845	357	21	ĩ	ĩ	PROPN
ejpam-5845	357	22	,	,	PUNCT
ejpam-5845	357	23	é	é	PROPN
ejpam-5845	357	24	)	)	PUNCT
ejpam-5845	357	25	,	,	PUNCT
ejpam-5845	357	26	and	and	CCONJ
ejpam-5845	357	27	(	(	PUNCT
ejpam-5845	357	28	j̃	j̃	PROPN
ejpam-5845	357	29	,	,	PUNCT
ejpam-5845	357	30	é	é	PROPN
ejpam-5845	357	31	)	)	PUNCT
ejpam-5845	357	32	are	be	AUX
ejpam-5845	357	33	quadri	quadri	NOUN
ejpam-5845	357	34	-	-	PUNCT
ejpam-5845	357	35	partitioned	partition	VERB
ejpam-5845	357	36	neutrosophic	neutrosophic	ADJ
ejpam-5845	357	37	soft	soft	ADJ
ejpam-5845	357	38	subsets	subset	NOUN
ejpam-5845	357	39	defined	define	VERB
ejpam-5845	357	40	as	as	SCONJ
ejpam-5845	357	41	follows	follow	VERB
ejpam-5845	357	42	:	:	PUNCT
ejpam-5845	357	43	(	(	PUNCT
ejpam-5845	358	1	υ̃	υ̃	PROPN
ejpam-5845	358	2	,	,	PUNCT
ejpam-5845	358	3	é	é	PROPN
ejpam-5845	358	4	)	)	PUNCT
ejpam-5845	358	5	=	=	SYM
ejpam-5845	358	6			NOUN
ejpam-5845	358	7	e1	e1	PROPN
ejpam-5845	358	8	=	=	SYM
ejpam-5845	358	9	⟨s1	⟨s1	PROPN
ejpam-5845	358	10	,	,	PUNCT
ejpam-5845	358	11	2	2	NUM
ejpam-5845	358	12	10	10	NUM
ejpam-5845	358	13	,	,	PUNCT
ejpam-5845	358	14	3	3	NUM
ejpam-5845	358	15	10	10	NUM
ejpam-5845	358	16	,	,	PUNCT
ejpam-5845	358	17	8	8	NUM
ejpam-5845	358	18	10	10	NUM
ejpam-5845	358	19	,	,	PUNCT
ejpam-5845	358	20	8	8	NUM
ejpam-5845	358	21	10	10	NUM
ejpam-5845	358	22	⟩	⟩	NOUN
ejpam-5845	358	23	,	,	PUNCT
ejpam-5845	358	24	⟨s2	⟨s2	PROPN
ejpam-5845	358	25	,	,	PUNCT
ejpam-5845	358	26	4	4	NUM
ejpam-5845	358	27	10	10	NUM
ejpam-5845	358	28	,	,	PUNCT
ejpam-5845	358	29	4	4	NUM
ejpam-5845	358	30	10	10	NUM
ejpam-5845	358	31	,	,	PUNCT
ejpam-5845	358	32	4	4	NUM
ejpam-5845	358	33	10	10	NUM
ejpam-5845	358	34	,	,	PUNCT
ejpam-5845	358	35	4	4	NUM
ejpam-5845	358	36	10	10	NUM
ejpam-5845	358	37	⟩	⟩	NOUN
ejpam-5845	358	38	,	,	PUNCT
ejpam-5845	358	39	⟨s3	⟨s3	PROPN
ejpam-5845	358	40	,	,	PUNCT
ejpam-5845	358	41	2	2	NUM
ejpam-5845	358	42	10	10	NUM
ejpam-5845	358	43	,	,	PUNCT
ejpam-5845	358	44	4	4	NUM
ejpam-5845	358	45	10	10	NUM
ejpam-5845	358	46	,	,	PUNCT
ejpam-5845	358	47	3	3	NUM
ejpam-5845	358	48	10	10	NUM
ejpam-5845	358	49	,	,	PUNCT
ejpam-5845	358	50	3	3	NUM
ejpam-5845	358	51	10	10	NUM
ejpam-5845	358	52	⟩	⟩	NOUN
ejpam-5845	358	53	;	;	PUNCT
ejpam-5845	359	1	e2	e2	PROPN
ejpam-5845	359	2	=	=	SYM
ejpam-5845	359	3	⟨s1	⟨s1	PROPN
ejpam-5845	359	4	,	,	PUNCT
ejpam-5845	359	5	3	3	NUM
ejpam-5845	359	6	10	10	NUM
ejpam-5845	359	7	,	,	PUNCT
ejpam-5845	359	8	2	2	NUM
ejpam-5845	359	9	10	10	NUM
ejpam-5845	359	10	,	,	PUNCT
ejpam-5845	359	11	6	6	NUM
ejpam-5845	359	12	10	10	NUM
ejpam-5845	359	13	,	,	PUNCT
ejpam-5845	359	14	6	6	NUM
ejpam-5845	359	15	10	10	NUM
ejpam-5845	359	16	⟩	⟩	NOUN
ejpam-5845	359	17	,	,	PUNCT
ejpam-5845	359	18	⟨s2	⟨s2	PROPN
ejpam-5845	359	19	,	,	PUNCT
ejpam-5845	359	20	1	1	NUM
ejpam-5845	359	21	10	10	NUM
ejpam-5845	359	22	,	,	PUNCT
ejpam-5845	359	23	5	5	NUM
ejpam-5845	359	24	10	10	NUM
ejpam-5845	359	25	,	,	PUNCT
ejpam-5845	359	26	5	5	NUM
ejpam-5845	359	27	10	10	NUM
ejpam-5845	359	28	,	,	PUNCT
ejpam-5845	359	29	5	5	NUM
ejpam-5845	359	30	10	10	NUM
ejpam-5845	359	31	⟩	⟩	NOUN
ejpam-5845	359	32	,	,	PUNCT
ejpam-5845	359	33	⟨s3	⟨s3	PROPN
ejpam-5845	359	34	,	,	PUNCT
ejpam-5845	359	35	4	4	NUM
ejpam-5845	359	36	10	10	NUM
ejpam-5845	359	37	,	,	PUNCT
ejpam-5845	359	38	3	3	NUM
ejpam-5845	359	39	10	10	NUM
ejpam-5845	359	40	,	,	PUNCT
ejpam-5845	359	41	5	5	NUM
ejpam-5845	359	42	10	10	NUM
ejpam-5845	359	43	,	,	PUNCT
ejpam-5845	359	44	5	5	NUM
ejpam-5845	359	45	10	10	NUM
ejpam-5845	359	46	⟩.	⟩.	NOUN
ejpam-5845	359	47			NUM
ejpam-5845	359	48	(	(	PUNCT
ejpam-5845	359	49	j̃	j̃	PROPN
ejpam-5845	359	50	,	,	PUNCT
ejpam-5845	359	51	é	é	PROPN
ejpam-5845	359	52	)	)	PUNCT
ejpam-5845	359	53	=[	=[	NOUN
ejpam-5845	359	54	e1	e1	NOUN
ejpam-5845	359	55	=	=	SYM
ejpam-5845	359	56	⟨s1	⟨s1	PROPN
ejpam-5845	359	57	,	,	PUNCT
ejpam-5845	359	58	4	4	NUM
ejpam-5845	359	59	10	10	NUM
ejpam-5845	359	60	,	,	PUNCT
ejpam-5845	359	61	3	3	NUM
ejpam-5845	359	62	10	10	NUM
ejpam-5845	359	63	,	,	PUNCT
ejpam-5845	359	64	6	6	NUM
ejpam-5845	359	65	10	10	NUM
ejpam-5845	359	66	,	,	PUNCT
ejpam-5845	359	67	6	6	NUM
ejpam-5845	359	68	10	10	NUM
ejpam-5845	359	69	⟩	⟩	NOUN
ejpam-5845	359	70	,	,	PUNCT
ejpam-5845	359	71	⟨s2	⟨s2	PROPN
ejpam-5845	359	72	,	,	PUNCT
ejpam-5845	359	73	4	4	NUM
ejpam-5845	359	74	10	10	NUM
ejpam-5845	359	75	,	,	PUNCT
ejpam-5845	359	76	5	5	NUM
ejpam-5845	359	77	10	10	NUM
ejpam-5845	359	78	,	,	PUNCT
ejpam-5845	359	79	3	3	NUM
ejpam-5845	359	80	10	10	NUM
ejpam-5845	359	81	,	,	PUNCT
ejpam-5845	359	82	3	3	NUM
ejpam-5845	359	83	10	10	NUM
ejpam-5845	359	84	⟩	⟩	NOUN
ejpam-5845	359	85	,	,	PUNCT
ejpam-5845	359	86	⟨s3	⟨s3	PROPN
ejpam-5845	359	87	,	,	PUNCT
ejpam-5845	359	88	3	3	NUM
ejpam-5845	359	89	10	10	NUM
ejpam-5845	359	90	,	,	PUNCT
ejpam-5845	359	91	5	5	NUM
ejpam-5845	359	92	10	10	NUM
ejpam-5845	359	93	,	,	PUNCT
ejpam-5845	359	94	2	2	NUM
ejpam-5845	359	95	10	10	NUM
ejpam-5845	359	96	,	,	PUNCT
ejpam-5845	359	97	2	2	NUM
ejpam-5845	359	98	10	10	NUM
ejpam-5845	359	99	⟩	⟩	NOUN
ejpam-5845	359	100	,	,	PUNCT
ejpam-5845	359	101	e2	e2	PROPN
ejpam-5845	359	102	=	=	PUNCT
ejpam-5845	359	103	⟨s1	⟨s1	PROPN
ejpam-5845	359	104	,	,	PUNCT
ejpam-5845	359	105	3	3	NUM
ejpam-5845	359	106	10	10	NUM
ejpam-5845	359	107	,	,	PUNCT
ejpam-5845	359	108	4	4	NUM
ejpam-5845	359	109	10	10	NUM
ejpam-5845	359	110	,	,	PUNCT
ejpam-5845	359	111	5	5	NUM
ejpam-5845	359	112	10	10	NUM
ejpam-5845	359	113	,	,	PUNCT
ejpam-5845	359	114	5	5	NUM
ejpam-5845	359	115	10	10	NUM
ejpam-5845	359	116	⟩	⟩	NOUN
ejpam-5845	359	117	,	,	PUNCT
ejpam-5845	359	118	⟨s2	⟨s2	PROPN
ejpam-5845	359	119	,	,	PUNCT
ejpam-5845	359	120	2	2	NUM
ejpam-5845	359	121	10	10	NUM
ejpam-5845	359	122	,	,	PUNCT
ejpam-5845	359	123	6	6	NUM
ejpam-5845	359	124	10	10	NUM
ejpam-5845	359	125	,	,	PUNCT
ejpam-5845	359	126	4	4	NUM
ejpam-5845	359	127	10	10	NUM
ejpam-5845	359	128	,	,	PUNCT
ejpam-5845	359	129	4	4	NUM
ejpam-5845	359	130	10	10	NUM
ejpam-5845	359	131	⟩	⟩	NOUN
ejpam-5845	359	132	,	,	PUNCT
ejpam-5845	359	133	⟨s3	⟨s3	PROPN
ejpam-5845	359	134	,	,	PUNCT
ejpam-5845	359	135	4	4	NUM
ejpam-5845	359	136	10	10	NUM
ejpam-5845	359	137	,	,	PUNCT
ejpam-5845	359	138	6	6	NUM
ejpam-5845	359	139	10	10	NUM
ejpam-5845	359	140	,	,	PUNCT
ejpam-5845	359	141	3	3	NUM
ejpam-5845	359	142	10	10	NUM
ejpam-5845	359	143	,	,	PUNCT
ejpam-5845	359	144	3	3	NUM
ejpam-5845	359	145	10	10	NUM
ejpam-5845	359	146	⟩	⟩	NOUN
ejpam-5845	359	147	]	]	PUNCT
ejpam-5845	359	148	.	.	PUNCT
ejpam-5845	360	1	(	(	PUNCT
ejpam-5845	360	2	l̃	l̃	PROPN
ejpam-5845	360	3	,	,	PUNCT
ejpam-5845	360	4	é	é	PROPN
ejpam-5845	360	5	)	)	PUNCT
ejpam-5845	360	6	=[	=[	NOUN
ejpam-5845	360	7	e1	e1	NOUN
ejpam-5845	360	8	=	=	SYM
ejpam-5845	360	9	⟨s1	⟨s1	PROPN
ejpam-5845	360	10	,	,	PUNCT
ejpam-5845	360	11	5	5	NUM
ejpam-5845	360	12	10	10	NUM
ejpam-5845	360	13	,	,	PUNCT
ejpam-5845	360	14	4	4	NUM
ejpam-5845	360	15	10	10	NUM
ejpam-5845	360	16	,	,	PUNCT
ejpam-5845	360	17	4	4	NUM
ejpam-5845	360	18	10	10	NUM
ejpam-5845	360	19	,	,	PUNCT
ejpam-5845	360	20	4	4	NUM
ejpam-5845	360	21	10	10	NUM
ejpam-5845	360	22	⟩	⟩	NOUN
ejpam-5845	360	23	,	,	PUNCT
ejpam-5845	360	24	⟨s2	⟨s2	PROPN
ejpam-5845	360	25	,	,	PUNCT
ejpam-5845	360	26	6	6	NUM
ejpam-5845	360	27	10	10	NUM
ejpam-5845	360	28	,	,	PUNCT
ejpam-5845	360	29	6	6	NUM
ejpam-5845	360	30	10	10	NUM
ejpam-5845	360	31	,	,	PUNCT
ejpam-5845	360	32	2	2	NUM
ejpam-5845	360	33	10	10	NUM
ejpam-5845	360	34	,	,	PUNCT
ejpam-5845	360	35	2	2	NUM
ejpam-5845	360	36	10	10	NUM
ejpam-5845	360	37	⟩	⟩	NOUN
ejpam-5845	360	38	,	,	PUNCT
ejpam-5845	360	39	⟨s3	⟨s3	PROPN
ejpam-5845	360	40	,	,	PUNCT
ejpam-5845	360	41	4	4	NUM
ejpam-5845	360	42	10	10	NUM
ejpam-5845	360	43	,	,	PUNCT
ejpam-5845	360	44	6	6	NUM
ejpam-5845	360	45	10	10	NUM
ejpam-5845	360	46	,	,	PUNCT
ejpam-5845	360	47	1	1	NUM
ejpam-5845	360	48	10	10	NUM
ejpam-5845	360	49	,	,	PUNCT
ejpam-5845	360	50	1	1	NUM
ejpam-5845	360	51	10	10	NUM
ejpam-5845	360	52	⟩	⟩	NOUN
ejpam-5845	360	53	,	,	PUNCT
ejpam-5845	360	54	e2	e2	PROPN
ejpam-5845	360	55	=	=	PUNCT
ejpam-5845	360	56	⟨s1	⟨s1	PROPN
ejpam-5845	360	57	,	,	PUNCT
ejpam-5845	360	58	4	4	NUM
ejpam-5845	360	59	10	10	NUM
ejpam-5845	360	60	,	,	PUNCT
ejpam-5845	360	61	6	6	NUM
ejpam-5845	360	62	10	10	NUM
ejpam-5845	360	63	,	,	PUNCT
ejpam-5845	360	64	3	3	NUM
ejpam-5845	360	65	10	10	NUM
ejpam-5845	360	66	,	,	PUNCT
ejpam-5845	360	67	3	3	NUM
ejpam-5845	360	68	10	10	NUM
ejpam-5845	360	69	⟩	⟩	NOUN
ejpam-5845	360	70	,	,	PUNCT
ejpam-5845	360	71	⟨s2	⟨s2	PROPN
ejpam-5845	360	72	,	,	PUNCT
ejpam-5845	360	73	3	3	NUM
ejpam-5845	360	74	10	10	NUM
ejpam-5845	360	75	,	,	PUNCT
ejpam-5845	360	76	7	7	NUM
ejpam-5845	360	77	10	10	NUM
ejpam-5845	360	78	,	,	PUNCT
ejpam-5845	360	79	3	3	NUM
ejpam-5845	360	80	10	10	NUM
ejpam-5845	360	81	,	,	PUNCT
ejpam-5845	360	82	3	3	NUM
ejpam-5845	360	83	10	10	NUM
ejpam-5845	360	84	⟩	⟩	NOUN
ejpam-5845	360	85	,	,	PUNCT
ejpam-5845	360	86	⟨s3	⟨s3	PROPN
ejpam-5845	360	87	,	,	PUNCT
ejpam-5845	360	88	5	5	NUM
ejpam-5845	360	89	10	10	NUM
ejpam-5845	360	90	,	,	PUNCT
ejpam-5845	360	91	7	7	NUM
ejpam-5845	360	92	10	10	NUM
ejpam-5845	360	93	,	,	PUNCT
ejpam-5845	360	94	1	1	NUM
ejpam-5845	360	95	10	10	NUM
ejpam-5845	360	96	,	,	PUNCT
ejpam-5845	360	97	1	1	NUM
ejpam-5845	360	98	10	10	NUM
ejpam-5845	360	99	⟩	⟩	NOUN
ejpam-5845	360	100	]	]	PUNCT
ejpam-5845	360	101	.	.	PUNCT
ejpam-5845	361	1	m.	m.	NOUN
ejpam-5845	361	2	m.	m.	PROPN
ejpam-5845	361	3	saeed	saeed	PROPN
ejpam-5845	361	4	et	et	PROPN
ejpam-5845	361	5	al	al	PROPN
ejpam-5845	361	6	.	.	PUNCT
ejpam-5845	361	7	/	/	SYM
ejpam-5845	361	8	eur	eur	PROPN
ejpam-5845	361	9	.	.	PUNCT
ejpam-5845	362	1	j.	j.	PROPN
ejpam-5845	362	2	pure	pure	PROPN
ejpam-5845	362	3	appl	appl	PROPN
ejpam-5845	362	4	.	.	PROPN
ejpam-5845	362	5	math	math	PROPN
ejpam-5845	362	6	,	,	PUNCT
ejpam-5845	362	7	18	18	NUM
ejpam-5845	362	8	(	(	PUNCT
ejpam-5845	362	9	2	2	NUM
ejpam-5845	362	10	)	)	PUNCT
ejpam-5845	362	11	(	(	PUNCT
ejpam-5845	362	12	2025	2025	NUM
ejpam-5845	362	13	)	)	PUNCT
ejpam-5845	362	14	,	,	PUNCT
ejpam-5845	362	15	5845	5845	NUM
ejpam-5845	362	16	15	15	NUM
ejpam-5845	362	17	of	of	ADP
ejpam-5845	362	18	32	32	NUM
ejpam-5845	362	19	(	(	PUNCT
ejpam-5845	362	20	ĩ	ĩ	PROPN
ejpam-5845	362	21	,	,	PUNCT
ejpam-5845	362	22	é	é	PROPN
ejpam-5845	362	23	)	)	PUNCT
ejpam-5845	362	24	=[	=[	NOUN
ejpam-5845	362	25	e1	e1	NOUN
ejpam-5845	362	26	=	=	SYM
ejpam-5845	362	27	⟨s1	⟨s1	PROPN
ejpam-5845	362	28	,	,	PUNCT
ejpam-5845	362	29	6	6	NUM
ejpam-5845	362	30	10	10	NUM
ejpam-5845	362	31	,	,	PUNCT
ejpam-5845	362	32	6	6	NUM
ejpam-5845	362	33	10	10	NUM
ejpam-5845	362	34	,	,	PUNCT
ejpam-5845	362	35	2	2	NUM
ejpam-5845	362	36	10	10	NUM
ejpam-5845	362	37	,	,	PUNCT
ejpam-5845	362	38	2	2	NUM
ejpam-5845	362	39	10	10	NUM
ejpam-5845	362	40	⟩	⟩	NOUN
ejpam-5845	362	41	,	,	PUNCT
ejpam-5845	362	42	⟨s2	⟨s2	PROPN
ejpam-5845	362	43	,	,	PUNCT
ejpam-5845	362	44	6	6	NUM
ejpam-5845	362	45	10	10	NUM
ejpam-5845	362	46	,	,	PUNCT
ejpam-5845	362	47	6	6	NUM
ejpam-5845	362	48	10	10	NUM
ejpam-5845	362	49	,	,	PUNCT
ejpam-5845	362	50	2	2	NUM
ejpam-5845	362	51	10	10	NUM
ejpam-5845	362	52	,	,	PUNCT
ejpam-5845	362	53	2	2	NUM
ejpam-5845	362	54	10	10	NUM
ejpam-5845	362	55	⟩	⟩	NOUN
ejpam-5845	362	56	,	,	PUNCT
ejpam-5845	362	57	⟨s3	⟨s3	PROPN
ejpam-5845	362	58	,	,	PUNCT
ejpam-5845	362	59	4	4	NUM
ejpam-5845	362	60	10	10	NUM
ejpam-5845	362	61	,	,	PUNCT
ejpam-5845	362	62	6	6	NUM
ejpam-5845	362	63	10	10	NUM
ejpam-5845	362	64	,	,	PUNCT
ejpam-5845	362	65	1	1	NUM
ejpam-5845	362	66	10	10	NUM
ejpam-5845	362	67	,	,	PUNCT
ejpam-5845	362	68	1	1	NUM
ejpam-5845	362	69	10	10	NUM
ejpam-5845	362	70	⟩	⟩	NOUN
ejpam-5845	362	71	,	,	PUNCT
ejpam-5845	362	72	e2	e2	PROPN
ejpam-5845	362	73	=	=	PUNCT
ejpam-5845	362	74	⟨s1	⟨s1	PROPN
ejpam-5845	362	75	,	,	PUNCT
ejpam-5845	362	76	5	5	NUM
ejpam-5845	362	77	10	10	NUM
ejpam-5845	362	78	,	,	PUNCT
ejpam-5845	362	79	6	6	NUM
ejpam-5845	362	80	10	10	NUM
ejpam-5845	362	81	,	,	PUNCT
ejpam-5845	362	82	2	2	NUM
ejpam-5845	362	83	10	10	NUM
ejpam-5845	362	84	,	,	PUNCT
ejpam-5845	362	85	2	2	NUM
ejpam-5845	362	86	10	10	NUM
ejpam-5845	362	87	⟩	⟩	NOUN
ejpam-5845	362	88	,	,	PUNCT
ejpam-5845	362	89	⟨s2	⟨s2	PROPN
ejpam-5845	362	90	,	,	PUNCT
ejpam-5845	362	91	6	6	NUM
ejpam-5845	362	92	10	10	NUM
ejpam-5845	362	93	,	,	PUNCT
ejpam-5845	362	94	7	7	NUM
ejpam-5845	362	95	10	10	NUM
ejpam-5845	362	96	,	,	PUNCT
ejpam-5845	362	97	2	2	NUM
ejpam-5845	362	98	10	10	NUM
ejpam-5845	362	99	,	,	PUNCT
ejpam-5845	362	100	2	2	NUM
ejpam-5845	362	101	10	10	NUM
ejpam-5845	362	102	⟩	⟩	NOUN
ejpam-5845	362	103	,	,	PUNCT
ejpam-5845	362	104	⟨s3	⟨s3	PROPN
ejpam-5845	362	105	,	,	PUNCT
ejpam-5845	362	106	5	5	NUM
ejpam-5845	362	107	10	10	NUM
ejpam-5845	362	108	,	,	PUNCT
ejpam-5845	362	109	5	5	NUM
ejpam-5845	362	110	10	10	NUM
ejpam-5845	362	111	,	,	PUNCT
ejpam-5845	362	112	1	1	NUM
ejpam-5845	362	113	10	10	NUM
ejpam-5845	362	114	,	,	PUNCT
ejpam-5845	362	115	1	1	NUM
ejpam-5845	362	116	10	10	NUM
ejpam-5845	362	117	⟩	⟩	NOUN
ejpam-5845	362	118	]	]	PUNCT
ejpam-5845	362	119	.	.	PUNCT
ejpam-5845	363	1	(	(	PUNCT
ejpam-5845	363	2	j̃	j̃	PROPN
ejpam-5845	363	3	,	,	PUNCT
ejpam-5845	363	4	é	é	PROPN
ejpam-5845	363	5	)	)	PUNCT
ejpam-5845	363	6	=[	=[	NOUN
ejpam-5845	363	7	e1	e1	NOUN
ejpam-5845	363	8	=	=	SYM
ejpam-5845	363	9	⟨s1	⟨s1	PROPN
ejpam-5845	363	10	,	,	PUNCT
ejpam-5845	363	11	01	01	NUM
ejpam-5845	363	12	10	10	NUM
ejpam-5845	363	13	,	,	PUNCT
ejpam-5845	363	14	02	02	NUM
ejpam-5845	363	15	10	10	NUM
ejpam-5845	363	16	,	,	PUNCT
ejpam-5845	363	17	07	07	NUM
ejpam-5845	363	18	10	10	NUM
ejpam-5845	363	19	,	,	PUNCT
ejpam-5845	363	20	07	07	NUM
ejpam-5845	363	21	10	10	NUM
ejpam-5845	363	22	⟩	⟩	NOUN
ejpam-5845	363	23	,	,	PUNCT
ejpam-5845	363	24	⟨s2	⟨s2	PROPN
ejpam-5845	363	25	,	,	PUNCT
ejpam-5845	363	26	04	04	NUM
ejpam-5845	363	27	10	10	NUM
ejpam-5845	363	28	,	,	PUNCT
ejpam-5845	363	29	04	04	NUM
ejpam-5845	363	30	10	10	NUM
ejpam-5845	363	31	,	,	PUNCT
ejpam-5845	363	32	03	03	NUM
ejpam-5845	363	33	10	10	NUM
ejpam-5845	363	34	,	,	PUNCT
ejpam-5845	363	35	03	03	NUM
ejpam-5845	363	36	10	10	NUM
ejpam-5845	363	37	⟩	⟩	NOUN
ejpam-5845	363	38	,	,	PUNCT
ejpam-5845	363	39	⟨s3	⟨s3	PROPN
ejpam-5845	363	40	,	,	PUNCT
ejpam-5845	363	41	02	02	NUM
ejpam-5845	363	42	10	10	NUM
ejpam-5845	363	43	,	,	PUNCT
ejpam-5845	363	44	04	04	NUM
ejpam-5845	363	45	10	10	NUM
ejpam-5845	363	46	,	,	PUNCT
ejpam-5845	363	47	02	02	NUM
ejpam-5845	363	48	10	10	NUM
ejpam-5845	363	49	,	,	PUNCT
ejpam-5845	363	50	02	02	NUM
ejpam-5845	363	51	10	10	NUM
ejpam-5845	363	52	⟩	⟩	NOUN
ejpam-5845	363	53	,	,	PUNCT
ejpam-5845	363	54	e2	e2	PROPN
ejpam-5845	363	55	=	=	PUNCT
ejpam-5845	363	56	⟨s1	⟨s1	PROPN
ejpam-5845	363	57	,	,	PUNCT
ejpam-5845	363	58	03	03	NUM
ejpam-5845	363	59	10	10	NUM
ejpam-5845	363	60	,	,	PUNCT
ejpam-5845	363	61	02	02	NUM
ejpam-5845	363	62	10	10	NUM
ejpam-5845	363	63	,	,	PUNCT
ejpam-5845	363	64	05	05	NUM
ejpam-5845	363	65	10	10	NUM
ejpam-5845	363	66	,	,	PUNCT
ejpam-5845	363	67	05	05	NUM
ejpam-5845	363	68	10	10	NUM
ejpam-5845	363	69	⟩	⟩	NOUN
ejpam-5845	363	70	,	,	PUNCT
ejpam-5845	363	71	⟨s2	⟨s2	PROPN
ejpam-5845	363	72	,	,	PUNCT
ejpam-5845	363	73	01	01	NUM
ejpam-5845	363	74	10	10	NUM
ejpam-5845	363	75	,	,	PUNCT
ejpam-5845	363	76	05	05	NUM
ejpam-5845	363	77	10	10	NUM
ejpam-5845	363	78	,	,	PUNCT
ejpam-5845	363	79	05	05	NUM
ejpam-5845	363	80	10	10	NUM
ejpam-5845	363	81	,	,	PUNCT
ejpam-5845	363	82	05	05	NUM
ejpam-5845	363	83	10	10	NUM
ejpam-5845	363	84	⟩	⟩	NOUN
ejpam-5845	363	85	,	,	PUNCT
ejpam-5845	363	86	⟨s3	⟨s3	PROPN
ejpam-5845	363	87	,	,	PUNCT
ejpam-5845	363	88	04	04	NUM
ejpam-5845	363	89	10	10	NUM
ejpam-5845	363	90	,	,	PUNCT
ejpam-5845	363	91	03	03	NUM
ejpam-5845	363	92	10	10	NUM
ejpam-5845	363	93	,	,	PUNCT
ejpam-5845	363	94	05	05	NUM
ejpam-5845	363	95	10	10	NUM
ejpam-5845	363	96	,	,	PUNCT
ejpam-5845	363	97	05	05	NUM
ejpam-5845	363	98	10	10	NUM
ejpam-5845	363	99	⟩	⟩	NOUN
ejpam-5845	363	100	]	]	PUNCT
ejpam-5845	363	101	.	.	PUNCT
ejpam-5845	364	1	here	here	ADV
ejpam-5845	364	2	,	,	PUNCT
ejpam-5845	364	3	τ1	τ1	ADP
ejpam-5845	364	4	⋓	⋓	NOUN
ejpam-5845	364	5	τ2	τ2	NOUN
ejpam-5845	364	6	=	=	SYM
ejpam-5845	364	7	{	{	PUNCT
ejpam-5845	364	8	0(m̃,é	0(m̃,é	NOUN
ejpam-5845	364	9	)	)	PUNCT
ejpam-5845	364	10	,	,	PUNCT
ejpam-5845	364	11	1(m̃,é	1(m̃,é	NUM
ejpam-5845	364	12	)	)	PUNCT
ejpam-5845	364	13	,	,	PUNCT
ejpam-5845	364	14	(	(	PUNCT
ejpam-5845	364	15	υ̃	υ̃	PROPN
ejpam-5845	364	16	,	,	PUNCT
ejpam-5845	364	17	é	é	PROPN
ejpam-5845	364	18	)	)	PUNCT
ejpam-5845	364	19	,	,	PUNCT
ejpam-5845	364	20	(	(	PUNCT
ejpam-5845	364	21	ξ̃	ξ̃	PROPN
ejpam-5845	364	22	,	,	PUNCT
ejpam-5845	364	23	é	é	PROPN
ejpam-5845	364	24	)	)	PUNCT
ejpam-5845	364	25	,	,	PUNCT
ejpam-5845	364	26	(	(	PUNCT
ejpam-5845	364	27	λ̃	λ̃	PROPN
ejpam-5845	364	28	,	,	PUNCT
ejpam-5845	364	29	é	é	PROPN
ejpam-5845	364	30	)	)	PUNCT
ejpam-5845	364	31	,	,	PUNCT
ejpam-5845	364	32	(	(	PUNCT
ejpam-5845	364	33	ĩ	ĩ	PROPN
ejpam-5845	364	34	,	,	PUNCT
ejpam-5845	364	35	é	é	PROPN
ejpam-5845	364	36	)	)	PUNCT
ejpam-5845	364	37	,	,	PUNCT
ejpam-5845	364	38	(	(	PUNCT
ejpam-5845	364	39	j̃	j̃	PROPN
ejpam-5845	364	40	,	,	PUNCT
ejpam-5845	364	41	é	é	PROPN
ejpam-5845	364	42	)	)	PUNCT
ejpam-5845	364	43	}	}	PUNCT
ejpam-5845	364	44	is	be	AUX
ejpam-5845	364	45	not	not	PART
ejpam-5845	364	46	a	a	DET
ejpam-5845	364	47	quadri	quadri	NOUN
ejpam-5845	364	48	-	-	PUNCT
ejpam-5845	364	49	partitioned	partition	VERB
ejpam-5845	364	50	neutrosophic	neutrosophic	ADJ
ejpam-5845	364	51	soft	soft	ADJ
ejpam-5845	364	52	topological	topological	ADJ
ejpam-5845	364	53	space	space	NOUN
ejpam-5845	364	54	on	on	ADP
ejpam-5845	364	55	m̃	m̃	PROPN
ejpam-5845	364	56	as	as	SCONJ
ejpam-5845	364	57	(	(	PUNCT
ejpam-5845	364	58	λ̃	λ̃	PROPN
ejpam-5845	364	59	,	,	PUNCT
ejpam-5845	364	60	é)⋓(ĩ	é)⋓(ĩ	NOUN
ejpam-5845	364	61	,	,	PUNCT
ejpam-5845	364	62	é	é	PROPN
ejpam-5845	364	63	)	)	PUNCT
ejpam-5845	364	64	does	do	AUX
ejpam-5845	364	65	not	not	PART
ejpam-5845	364	66	belong	belong	VERB
ejpam-5845	364	67	to	to	ADP
ejpam-5845	364	68	τ1⋓τ2	τ1⋓τ2	PROPN
ejpam-5845	364	69	.	.	PUNCT
ejpam-5845	365	1	this	this	PRON
ejpam-5845	365	2	justifies	justify	VERB
ejpam-5845	365	3	that	that	SCONJ
ejpam-5845	365	4	the	the	DET
ejpam-5845	365	5	union	union	NOUN
ejpam-5845	365	6	of	of	ADP
ejpam-5845	365	7	two	two	NUM
ejpam-5845	365	8	quadri	quadri	NOUN
ejpam-5845	365	9	-	-	PUNCT
ejpam-5845	365	10	partitioned	partition	VERB
ejpam-5845	365	11	neutrosophic	neutrosophic	ADJ
ejpam-5845	365	12	soft	soft	ADJ
ejpam-5845	365	13	topological	topological	ADJ
ejpam-5845	365	14	spaces	space	NOUN
ejpam-5845	365	15	is	be	AUX
ejpam-5845	365	16	not	not	PART
ejpam-5845	365	17	necessarily	necessarily	ADV
ejpam-5845	365	18	a	a	DET
ejpam-5845	365	19	quadri	quadri	NOUN
ejpam-5845	365	20	-	-	PUNCT
ejpam-5845	365	21	partitioned	partition	VERB
ejpam-5845	365	22	neutrosophic	neutrosophic	ADJ
ejpam-5845	365	23	soft	soft	ADJ
ejpam-5845	365	24	topological	topological	ADJ
ejpam-5845	365	25	space	space	NOUN
ejpam-5845	365	26	.	.	PUNCT
ejpam-5845	366	1	definition	definition	NOUN
ejpam-5845	366	2	24	24	NUM
ejpam-5845	366	3	.	.	PUNCT
ejpam-5845	367	1	let	let	VERB
ejpam-5845	367	2	(	(	PUNCT
ejpam-5845	367	3	m	m	NOUN
ejpam-5845	367	4	,	,	PUNCT
ejpam-5845	367	5	τ1	τ1	NOUN
ejpam-5845	367	6	,	,	PUNCT
ejpam-5845	367	7	τ2	τ2	PROPN
ejpam-5845	367	8	,	,	PUNCT
ejpam-5845	367	9	é	é	PROPN
ejpam-5845	367	10	)	)	PUNCT
ejpam-5845	367	11	be	be	VERB
ejpam-5845	367	12	a	a	DET
ejpam-5845	367	13	quadri	quadri	NOUN
ejpam-5845	367	14	-	-	PUNCT
ejpam-5845	367	15	partitioned	partition	VERB
ejpam-5845	367	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	367	17	soft	soft	ADJ
ejpam-5845	367	18	bi	bi	ADJ
ejpam-5845	367	19	-	-	ADJ
ejpam-5845	367	20	topological	topological	ADJ
ejpam-5845	367	21	space	space	NOUN
ejpam-5845	367	22	.	.	PUNCT
ejpam-5845	368	1	then	then	ADV
ejpam-5845	368	2	a	a	DET
ejpam-5845	368	3	quadri	quadri	NOUN
ejpam-5845	368	4	-	-	PUNCT
ejpam-5845	368	5	partitioned	partition	VERB
ejpam-5845	368	6	neutrosophic	neutrosophic	ADJ
ejpam-5845	368	7	soft	soft	ADJ
ejpam-5845	368	8	set	set	NOUN
ejpam-5845	368	9	,	,	PUNCT
ejpam-5845	368	10	(	(	PUNCT
ejpam-5845	368	11	λ̃	λ̃	PROPN
ejpam-5845	368	12	,	,	PUNCT
ejpam-5845	368	13	é	é	PROPN
ejpam-5845	368	14	)	)	PUNCT
ejpam-5845	368	15	=	=	PUNCT
ejpam-5845	369	1	[	[	X
ejpam-5845	369	2	(	(	PUNCT
ejpam-5845	369	3	e	e	NOUN
ejpam-5845	369	4	,	,	PUNCT
ejpam-5845	369	5	〈	〈	PROPN
ejpam-5845	369	6	s	s	PROPN
ejpam-5845	369	7	,	,	PUNCT
ejpam-5845	369	8	abtλ̃(e)(s),retλ̃(e)(s),refλ̃(e)(s),abfλ̃(e)(s	abtλ̃(e)(s),retλ̃(e)(s),refλ̃(e)(s),abfλ̃(e)(s	PROPN
ejpam-5845	369	9	)	)	PUNCT
ejpam-5845	369	10	〉	〉	NOUN
ejpam-5845	369	11	:	:	PUNCT
ejpam-5845	369	12	s	s	X
ejpam-5845	369	13	∈	∈	PROPN
ejpam-5845	369	14	m	m	NOUN
ejpam-5845	369	15	)	)	PUNCT
ejpam-5845	369	16	:	:	PUNCT
ejpam-5845	370	1	e	e	X
ejpam-5845	370	2	∈	∈	PROPN
ejpam-5845	370	3	é	é	PROPN
ejpam-5845	370	4	]	]	PUNCT
ejpam-5845	370	5	is	be	AUX
ejpam-5845	370	6	a	a	DET
ejpam-5845	370	7	pairwise	pairwise	NOUN
ejpam-5845	370	8	qpns	qpns	NOUN
ejpam-5845	370	9	open	open	ADJ
ejpam-5845	370	10	set	set	VERB
ejpam-5845	370	11	if	if	SCONJ
ejpam-5845	370	12	there	there	PRON
ejpam-5845	370	13	exist	exist	VERB
ejpam-5845	370	14	a	a	DET
ejpam-5845	370	15	qpns	qpns	NOUN
ejpam-5845	370	16	open	open	ADJ
ejpam-5845	370	17	set	set	NOUN
ejpam-5845	370	18	(	(	PUNCT
ejpam-5845	370	19	υ̃	υ̃	PROPN
ejpam-5845	370	20	,	,	PUNCT
ejpam-5845	370	21	é	é	PROPN
ejpam-5845	370	22	)	)	PUNCT
ejpam-5845	370	23	in	in	ADP
ejpam-5845	370	24	τ1	τ1	NOUN
ejpam-5845	370	25	and	and	CCONJ
ejpam-5845	370	26	a	a	DET
ejpam-5845	370	27	qpns	qpns	NOUN
ejpam-5845	370	28	open	open	ADJ
ejpam-5845	370	29	set	set	NOUN
ejpam-5845	370	30	(	(	PUNCT
ejpam-5845	370	31	ξ̃	ξ̃	PROPN
ejpam-5845	370	32	,	,	PUNCT
ejpam-5845	370	33	é	é	PROPN
ejpam-5845	370	34	)	)	PUNCT
ejpam-5845	370	35	in	in	ADP
ejpam-5845	370	36	τ2	τ2	NOUN
ejpam-5845	370	37	such	such	ADJ
ejpam-5845	370	38	that	that	PRON
ejpam-5845	370	39	for	for	ADP
ejpam-5845	370	40	all	all	DET
ejpam-5845	370	41	s	s	PART
ejpam-5845	370	42	∈	∈	NOUN
ejpam-5845	370	43	m	m	PRON
ejpam-5845	370	44	,	,	PUNCT
ejpam-5845	370	45	(	(	PUNCT
ejpam-5845	370	46	λ̃	λ̃	PROPN
ejpam-5845	370	47	,	,	PUNCT
ejpam-5845	370	48	é	é	PROPN
ejpam-5845	370	49	)	)	PUNCT
ejpam-5845	370	50	=	=	PUNCT
ejpam-5845	370	51	(	(	PUNCT
ejpam-5845	370	52	υ̃	υ̃	PROPN
ejpam-5845	370	53	,	,	PUNCT
ejpam-5845	370	54	é)⋓(ξ̃	é)⋓(ξ̃	PROPN
ejpam-5845	370	55	,	,	PUNCT
ejpam-5845	370	56	é	é	PROPN
ejpam-5845	370	57	)	)	PUNCT
ejpam-5845	370	58	=	=	SYM
ejpam-5845	370	59			NUM
ejpam-5845	370	60	e	e	NOUN
ejpam-5845	370	61	,	,	PUNCT
ejpam-5845	370	62			PROPN
ejpam-5845	370	63	s	s	PART
ejpam-5845	370	64	,	,	PUNCT
ejpam-5845	370	65	abth̃(e)(s	abth̃(e)(s	PROPN
ejpam-5845	370	66	)	)	PUNCT
ejpam-5845	370	67	=	=	SYM
ejpam-5845	370	68	max[abtf̃	max[abtf̃	PROPN
ejpam-5845	370	69	(	(	PUNCT
ejpam-5845	370	70	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	370	71	)	)	PUNCT
ejpam-5845	370	72	]	]	PUNCT
ejpam-5845	370	73	,	,	PUNCT
ejpam-5845	370	74	reth̃(e)(s	reth̃(e)(s	NOUN
ejpam-5845	370	75	)	)	PUNCT
ejpam-5845	370	76	=	=	SYM
ejpam-5845	371	1	max[retf̃	max[retf̃	NOUN
ejpam-5845	371	2	(	(	PUNCT
ejpam-5845	371	3	e)(s),retg̃(e)(s	e)(s),retg̃(e)(s	NOUN
ejpam-5845	371	4	)	)	PUNCT
ejpam-5845	371	5	]	]	X
ejpam-5845	371	6	,	,	PUNCT
ejpam-5845	371	7	refh̃(e)(s	refh̃(e)(s	NOUN
ejpam-5845	371	8	)	)	PUNCT
ejpam-5845	371	9	=	=	X
ejpam-5845	372	1	min[reff̃	min[reff̃	NOUN
ejpam-5845	372	2	(	(	PUNCT
ejpam-5845	372	3	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	372	4	)	)	PUNCT
ejpam-5845	372	5	]	]	X
ejpam-5845	372	6	,	,	PUNCT
ejpam-5845	372	7	abfh̃(e)(s	abfh̃(e)(s	NOUN
ejpam-5845	372	8	)	)	PUNCT
ejpam-5845	372	9	=	=	PUNCT
ejpam-5845	372	10	min[abff̃	min[abff̃	ADV
ejpam-5845	372	11	(	(	PUNCT
ejpam-5845	372	12	e)(s),abfg̃(e)(s	e)(s),abfg̃(e)(s	NOUN
ejpam-5845	372	13	)	)	PUNCT
ejpam-5845	372	14	]	]	PUNCT
ejpam-5845	373	1			NOUN
ejpam-5845	373	2			NOUN
ejpam-5845	373	3	:	:	PUNCT
ejpam-5845	373	4	e	e	X
ejpam-5845	373	5	∈	∈	NOUN
ejpam-5845	373	6	é	é	VERB
ejpam-5845	373	7			NOUN
ejpam-5845	373	8	.	.	PUNCT
ejpam-5845	374	1	this	this	PRON
ejpam-5845	374	2	is	be	AUX
ejpam-5845	374	3	denoted	denote	VERB
ejpam-5845	374	4	by	by	ADP
ejpam-5845	374	5	qpnso(m	qpnso(m	PROPN
ejpam-5845	374	6	,	,	PUNCT
ejpam-5845	374	7	é	é	PROPN
ejpam-5845	374	8	)	)	PUNCT
ejpam-5845	374	9	.	.	PUNCT
ejpam-5845	375	1	definition	definition	NOUN
ejpam-5845	375	2	25	25	NUM
ejpam-5845	375	3	.	.	PUNCT
ejpam-5845	376	1	let	let	VERB
ejpam-5845	376	2	(	(	PUNCT
ejpam-5845	376	3	m	m	NOUN
ejpam-5845	376	4	,	,	PUNCT
ejpam-5845	376	5	τ1	τ1	NOUN
ejpam-5845	376	6	,	,	PUNCT
ejpam-5845	376	7	τ2	τ2	PROPN
ejpam-5845	376	8	,	,	PUNCT
ejpam-5845	376	9	é	é	PROPN
ejpam-5845	376	10	)	)	PUNCT
ejpam-5845	376	11	be	be	VERB
ejpam-5845	376	12	a	a	DET
ejpam-5845	376	13	quadri	quadri	NOUN
ejpam-5845	376	14	-	-	PUNCT
ejpam-5845	376	15	partitioned	partition	VERB
ejpam-5845	376	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	376	17	soft	soft	ADJ
ejpam-5845	376	18	bi	bi	ADJ
ejpam-5845	376	19	-	-	ADJ
ejpam-5845	376	20	topological	topological	ADJ
ejpam-5845	376	21	space	space	NOUN
ejpam-5845	376	22	.	.	PUNCT
ejpam-5845	377	1	then	then	ADV
ejpam-5845	377	2	a	a	DET
ejpam-5845	377	3	quadri	quadri	NOUN
ejpam-5845	377	4	-	-	PUNCT
ejpam-5845	377	5	partitioned	partition	VERB
ejpam-5845	377	6	neutrosophic	neutrosophic	ADJ
ejpam-5845	377	7	soft	soft	ADJ
ejpam-5845	377	8	set	set	NOUN
ejpam-5845	377	9	,	,	PUNCT
ejpam-5845	377	10	(	(	PUNCT
ejpam-5845	377	11	λ̃	λ̃	PROPN
ejpam-5845	377	12	,	,	PUNCT
ejpam-5845	377	13	é	é	PROPN
ejpam-5845	377	14	)	)	PUNCT
ejpam-5845	377	15	=	=	PUNCT
ejpam-5845	378	1	[	[	X
ejpam-5845	378	2	(	(	PUNCT
ejpam-5845	378	3	e	e	NOUN
ejpam-5845	378	4	,	,	PUNCT
ejpam-5845	378	5	〈	〈	PROPN
ejpam-5845	378	6	〈	〈	PROPN
ejpam-5845	378	7	s	s	SYM
ejpam-5845	378	8	,	,	PUNCT
ejpam-5845	378	9	abth̃(e)(s),reth̃(e)(s),refh̃(e)(s),abfλ̃(e)(s	abth̃(e)(s),reth̃(e)(s),refh̃(e)(s),abfλ̃(e)(s	NOUN
ejpam-5845	378	10	)	)	PUNCT
ejpam-5845	378	11	〉	〉	NOUN
ejpam-5845	378	12	〉	〉	NOUN
ejpam-5845	378	13	:	:	PUNCT
ejpam-5845	378	14	s	s	X
ejpam-5845	378	15	∈	∈	PROPN
ejpam-5845	378	16	m	m	NOUN
ejpam-5845	378	17	)	)	PUNCT
ejpam-5845	378	18	:	:	PUNCT
ejpam-5845	379	1	e	e	X
ejpam-5845	379	2	∈	∈	PROPN
ejpam-5845	379	3	é	é	PROPN
ejpam-5845	379	4	]	]	PUNCT
ejpam-5845	379	5	is	be	AUX
ejpam-5845	379	6	called	call	VERB
ejpam-5845	379	7	a	a	DET
ejpam-5845	379	8	pairwise	pairwise	NOUN
ejpam-5845	379	9	qpnscs	qpnscs	ADJ
ejpam-5845	379	10	if	if	SCONJ
ejpam-5845	379	11	(	(	PUNCT
ejpam-5845	379	12	λ̃	λ̃	PROPN
ejpam-5845	379	13	,	,	PUNCT
ejpam-5845	379	14	é)c	é)c	X
ejpam-5845	379	15	is	be	AUX
ejpam-5845	379	16	a	a	DET
ejpam-5845	379	17	pairwise	pairwise	NOUN
ejpam-5845	379	18	qpnso	qpnso	NOUN
ejpam-5845	379	19	.	.	PUNCT
ejpam-5845	380	1	(	(	PUNCT
ejpam-5845	380	2	λ̃	λ̃	PROPN
ejpam-5845	380	3	,	,	PUNCT
ejpam-5845	380	4	é	é	PROPN
ejpam-5845	380	5	)	)	PUNCT
ejpam-5845	380	6	is	be	AUX
ejpam-5845	380	7	a	a	DET
ejpam-5845	380	8	qpns	qpns	NOUN
ejpam-5845	380	9	closed	close	VERB
ejpam-5845	380	10	set	set	VERB
ejpam-5845	380	11	if	if	SCONJ
ejpam-5845	380	12	there	there	PRON
ejpam-5845	380	13	exists	exist	VERB
ejpam-5845	380	14	a	a	DET
ejpam-5845	380	15	qpns	qpns	NOUN
ejpam-5845	380	16	closed	close	VERB
ejpam-5845	380	17	set	set	NOUN
ejpam-5845	380	18	(	(	PUNCT
ejpam-5845	380	19	υ̃	υ̃	PROPN
ejpam-5845	380	20	,	,	PUNCT
ejpam-5845	380	21	é	é	PROPN
ejpam-5845	380	22	)	)	PUNCT
ejpam-5845	380	23	in	in	ADP
ejpam-5845	380	24	τ1	τ1	NOUN
ejpam-5845	380	25	and	and	CCONJ
ejpam-5845	380	26	a	a	DET
ejpam-5845	380	27	qpns	qpns	NOUN
ejpam-5845	380	28	closed	close	VERB
ejpam-5845	380	29	set	set	VERB
ejpam-5845	380	30	(	(	PUNCT
ejpam-5845	380	31	ξ̃	ξ̃	PROPN
ejpam-5845	380	32	,	,	PUNCT
ejpam-5845	380	33	é	é	PROPN
ejpam-5845	380	34	)	)	PUNCT
ejpam-5845	380	35	in	in	ADP
ejpam-5845	380	36	τ2	τ2	NOUN
ejpam-5845	380	37	such	such	ADJ
ejpam-5845	380	38	that	that	PRON
ejpam-5845	380	39	for	for	ADP
ejpam-5845	380	40	all	all	DET
ejpam-5845	380	41	s	s	PART
ejpam-5845	380	42	∈	∈	NOUN
ejpam-5845	380	43	m	m	PRON
ejpam-5845	380	44	,	,	PUNCT
ejpam-5845	380	45	(	(	PUNCT
ejpam-5845	380	46	λ̃	λ̃	PROPN
ejpam-5845	380	47	,	,	PUNCT
ejpam-5845	380	48	é	é	PROPN
ejpam-5845	380	49	)	)	PUNCT
ejpam-5845	380	50	=	=	PUNCT
ejpam-5845	380	51	(	(	PUNCT
ejpam-5845	380	52	υ̃	υ̃	PROPN
ejpam-5845	380	53	,	,	PUNCT
ejpam-5845	380	54	é)⋒	é)⋒	PROPN
ejpam-5845	380	55	(	(	PUNCT
ejpam-5845	380	56	ξ̃	ξ̃	PROPN
ejpam-5845	380	57	,	,	PUNCT
ejpam-5845	380	58	é	é	PROPN
ejpam-5845	380	59	)	)	PUNCT
ejpam-5845	380	60	=	=	SYM
ejpam-5845	380	61			NUM
ejpam-5845	380	62	e	e	NOUN
ejpam-5845	380	63	,	,	PUNCT
ejpam-5845	380	64			PROPN
ejpam-5845	380	65	s	s	PART
ejpam-5845	380	66	,	,	PUNCT
ejpam-5845	380	67	abth̃(e)(s	abth̃(e)(s	PROPN
ejpam-5845	380	68	)	)	PUNCT
ejpam-5845	380	69	=	=	SYM
ejpam-5845	380	70	min[abtf̃	min[abtf̃	NOUN
ejpam-5845	380	71	(	(	PUNCT
ejpam-5845	380	72	e)(s),abtg̃(e)(s	e)(s),abtg̃(e)(s	NOUN
ejpam-5845	380	73	)	)	PUNCT
ejpam-5845	380	74	]	]	PUNCT
ejpam-5845	380	75	,	,	PUNCT
ejpam-5845	380	76	reth̃(e)(s	reth̃(e)(s	NOUN
ejpam-5845	380	77	)	)	PUNCT
ejpam-5845	381	1	=	=	SYM
ejpam-5845	381	2	min[retf̃	min[retf̃	NOUN
ejpam-5845	381	3	(	(	PUNCT
ejpam-5845	381	4	e)(s),retg̃(e)(s	e)(s),retg̃(e)(s	NOUN
ejpam-5845	381	5	)	)	PUNCT
ejpam-5845	381	6	]	]	X
ejpam-5845	381	7	,	,	PUNCT
ejpam-5845	381	8	refh̃(e)(s	refh̃(e)(s	NOUN
ejpam-5845	381	9	)	)	PUNCT
ejpam-5845	381	10	=	=	SYM
ejpam-5845	382	1	max[reff̃	max[reff̃	NOUN
ejpam-5845	382	2	(	(	PUNCT
ejpam-5845	382	3	e)(s),refg̃(e)(s	e)(s),refg̃(e)(s	NOUN
ejpam-5845	382	4	)	)	PUNCT
ejpam-5845	382	5	]	]	X
ejpam-5845	382	6	,	,	PUNCT
ejpam-5845	382	7	abfh̃(e)(s	abfh̃(e)(s	NOUN
ejpam-5845	382	8	)	)	PUNCT
ejpam-5845	382	9	=	=	PUNCT
ejpam-5845	383	1	max[abff̃	max[abff̃	ADV
ejpam-5845	383	2	(	(	PUNCT
ejpam-5845	383	3	e)(s),abfg̃(e)(s	e)(s),abfg̃(e)(s	NOUN
ejpam-5845	383	4	)	)	PUNCT
ejpam-5845	383	5	]	]	PUNCT
ejpam-5845	384	1			NOUN
ejpam-5845	384	2			NOUN
ejpam-5845	384	3	:	:	PUNCT
ejpam-5845	384	4	e	e	X
ejpam-5845	384	5	∈	∈	NOUN
ejpam-5845	384	6	é	é	VERB
ejpam-5845	384	7			NOUN
ejpam-5845	384	8	.	.	PUNCT
ejpam-5845	385	1	this	this	PRON
ejpam-5845	385	2	is	be	AUX
ejpam-5845	385	3	denoted	denote	VERB
ejpam-5845	385	4	by	by	ADP
ejpam-5845	385	5	qpnsc(m	qpnsc(m	PROPN
ejpam-5845	385	6	,	,	PUNCT
ejpam-5845	385	7	é	é	PROPN
ejpam-5845	385	8	)	)	PUNCT
ejpam-5845	385	9	.	.	PUNCT
ejpam-5845	386	1	m.	m.	NOUN
ejpam-5845	386	2	m.	m.	PROPN
ejpam-5845	386	3	saeed	saeed	PROPN
ejpam-5845	386	4	et	et	PROPN
ejpam-5845	386	5	al	al	PROPN
ejpam-5845	386	6	.	.	PUNCT
ejpam-5845	386	7	/	/	SYM
ejpam-5845	386	8	eur	eur	PROPN
ejpam-5845	386	9	.	.	PUNCT
ejpam-5845	387	1	j.	j.	PROPN
ejpam-5845	387	2	pure	pure	PROPN
ejpam-5845	387	3	appl	appl	PROPN
ejpam-5845	387	4	.	.	PROPN
ejpam-5845	387	5	math	math	PROPN
ejpam-5845	387	6	,	,	PUNCT
ejpam-5845	387	7	18	18	NUM
ejpam-5845	387	8	(	(	PUNCT
ejpam-5845	387	9	2	2	NUM
ejpam-5845	387	10	)	)	PUNCT
ejpam-5845	387	11	(	(	PUNCT
ejpam-5845	387	12	2025	2025	NUM
ejpam-5845	387	13	)	)	PUNCT
ejpam-5845	387	14	,	,	PUNCT
ejpam-5845	387	15	5845	5845	NUM
ejpam-5845	387	16	16	16	NUM
ejpam-5845	387	17	of	of	ADP
ejpam-5845	387	18	32	32	NUM
ejpam-5845	387	19	definition	definition	NOUN
ejpam-5845	387	20	26	26	NUM
ejpam-5845	387	21	.	.	PUNCT
ejpam-5845	388	1	let	let	AUX
ejpam-5845	388	2	(	(	PUNCT
ejpam-5845	388	3	m	m	NOUN
ejpam-5845	388	4	,	,	PUNCT
ejpam-5845	388	5	τ1	τ1	NOUN
ejpam-5845	388	6	,	,	PUNCT
ejpam-5845	388	7	τ2	τ2	PROPN
ejpam-5845	388	8	,	,	PUNCT
ejpam-5845	388	9	é	é	PROPN
ejpam-5845	388	10	)	)	PUNCT
ejpam-5845	388	11	be	be	VERB
ejpam-5845	388	12	a	a	DET
ejpam-5845	388	13	quadri	quadri	NOUN
ejpam-5845	388	14	-	-	PUNCT
ejpam-5845	388	15	partitioned	partition	VERB
ejpam-5845	388	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	388	17	soft	soft	ADJ
ejpam-5845	388	18	bi	bi	ADJ
ejpam-5845	388	19	-	-	ADJ
ejpam-5845	388	20	topological	topological	ADJ
ejpam-5845	388	21	space	space	NOUN
ejpam-5845	388	22	over	over	ADP
ejpam-5845	388	23	m	m	PROPN
ejpam-5845	388	24	,	,	PUNCT
ejpam-5845	388	25	and	and	CCONJ
ejpam-5845	388	26	(	(	PUNCT
ejpam-5845	388	27	˜̈υ	˜̈υ	PROPN
ejpam-5845	388	28	,	,	PUNCT
ejpam-5845	388	29	é	é	PROPN
ejpam-5845	388	30	)	)	PUNCT
ejpam-5845	388	31	be	be	AUX
ejpam-5845	388	32	a	a	DET
ejpam-5845	388	33	qpnss	qpnss	NOUN
ejpam-5845	388	34	.	.	PUNCT
ejpam-5845	389	1	then	then	ADV
ejpam-5845	389	2	:	:	PUNCT
ejpam-5845	389	3	(	(	PUNCT
ejpam-5845	389	4	i	i	NOUN
ejpam-5845	389	5	)	)	PUNCT
ejpam-5845	389	6	(	(	PUNCT
ejpam-5845	389	7	˜̈υ	˜̈υ	PROPN
ejpam-5845	389	8	,	,	PUNCT
ejpam-5845	389	9	é	é	PROPN
ejpam-5845	389	10	)	)	PUNCT
ejpam-5845	389	11	is	be	AUX
ejpam-5845	389	12	qpns	qpns	NOUN
ejpam-5845	389	13	semi	semi	ADJ
ejpam-5845	389	14	-	-	ADJ
ejpam-5845	389	15	open	open	ADJ
ejpam-5845	389	16	if	if	SCONJ
ejpam-5845	389	17	(	(	PUNCT
ejpam-5845	389	18	˜̈υ	˜̈υ	PROPN
ejpam-5845	389	19	,	,	PUNCT
ejpam-5845	389	20	é	é	PROPN
ejpam-5845	389	21	)	)	PUNCT
ejpam-5845	389	22	⊆	⊆	NUM
ejpam-5845	389	23	nscl(nsint	nscl(nsint	PROPN
ejpam-5845	389	24	(	(	PUNCT
ejpam-5845	389	25	˜̈υ	˜̈υ	PROPN
ejpam-5845	389	26	,	,	PUNCT
ejpam-5845	389	27	é	é	PROPN
ejpam-5845	389	28	)	)	PUNCT
ejpam-5845	389	29	)	)	PUNCT
ejpam-5845	389	30	.	.	PUNCT
ejpam-5845	390	1	(	(	PUNCT
ejpam-5845	390	2	ii	ii	NOUN
ejpam-5845	390	3	)	)	PUNCT
ejpam-5845	390	4	(	(	PUNCT
ejpam-5845	390	5	˜̈υ	˜̈υ	PROPN
ejpam-5845	390	6	,	,	PUNCT
ejpam-5845	390	7	é	é	PROPN
ejpam-5845	390	8	)	)	PUNCT
ejpam-5845	390	9	is	be	AUX
ejpam-5845	390	10	qpns	qpns	NOUN
ejpam-5845	390	11	pre	pre	ADJ
ejpam-5845	390	12	-	-	ADJ
ejpam-5845	390	13	open	open	ADJ
ejpam-5845	390	14	(	(	PUNCT
ejpam-5845	390	15	p	p	NOUN
ejpam-5845	390	16	-	-	PUNCT
ejpam-5845	390	17	open	open	ADJ
ejpam-5845	390	18	)	)	PUNCT
ejpam-5845	390	19	if	if	SCONJ
ejpam-5845	390	20	(	(	PUNCT
ejpam-5845	390	21	˜̈υ	˜̈υ	PROPN
ejpam-5845	390	22	,	,	PUNCT
ejpam-5845	390	23	é	é	PROPN
ejpam-5845	390	24	)	)	PUNCT
ejpam-5845	390	25	⊆	⊆	NUM
ejpam-5845	390	26	nsint(nscl	nsint(nscl	PROPN
ejpam-5845	390	27	(	(	PUNCT
ejpam-5845	390	28	˜̈υ	˜̈υ	PROPN
ejpam-5845	390	29	,	,	PUNCT
ejpam-5845	390	30	é	é	PROPN
ejpam-5845	390	31	)	)	PUNCT
ejpam-5845	390	32	)	)	PUNCT
ejpam-5845	390	33	.	.	PUNCT
ejpam-5845	391	1	(	(	PUNCT
ejpam-5845	391	2	iii	iii	X
ejpam-5845	391	3	)	)	PUNCT
ejpam-5845	391	4	(	(	PUNCT
ejpam-5845	391	5	˜̈υ	˜̈υ	PROPN
ejpam-5845	391	6	,	,	PUNCT
ejpam-5845	391	7	é	é	PROPN
ejpam-5845	391	8	)	)	PUNCT
ejpam-5845	391	9	is	be	AUX
ejpam-5845	391	10	qpns	qpns	NOUN
ejpam-5845	391	11	∗b	∗b	PROPN
ejpam-5845	391	12	open	open	ADJ
ejpam-5845	391	13	if	if	SCONJ
ejpam-5845	391	14	(	(	PUNCT
ejpam-5845	391	15	˜̈υ	˜̈υ	PROPN
ejpam-5845	391	16	,	,	PUNCT
ejpam-5845	391	17	é	é	PROPN
ejpam-5845	391	18	)	)	PUNCT
ejpam-5845	391	19	⊆	⊆	NUM
ejpam-5845	391	20	nscl(nsint	nscl(nsint	PROPN
ejpam-5845	391	21	(	(	PUNCT
ejpam-5845	391	22	˜̈υ	˜̈υ	PROPN
ejpam-5845	391	23	,	,	PUNCT
ejpam-5845	391	24	é	é	PROPN
ejpam-5845	391	25	)	)	PUNCT
ejpam-5845	391	26	)	)	PUNCT
ejpam-5845	391	27	⋓nsint(nscl	⋓nsint(nscl	PROPN
ejpam-5845	391	28	(	(	PUNCT
ejpam-5845	391	29	˜̈υ	˜̈υ	PROPN
ejpam-5845	391	30	,	,	PUNCT
ejpam-5845	391	31	é	é	PROPN
ejpam-5845	391	32	)	)	PUNCT
ejpam-5845	391	33	)	)	PUNCT
ejpam-5845	391	34	,	,	PUNCT
ejpam-5845	391	35	and	and	CCONJ
ejpam-5845	391	36	qpns	qpns	NOUN
ejpam-5845	391	37	∗b	∗b	PROPN
ejpam-5845	391	38	close	close	ADV
ejpam-5845	391	39	if	if	SCONJ
ejpam-5845	391	40	(	(	PUNCT
ejpam-5845	391	41	˜̈υ	˜̈υ	PROPN
ejpam-5845	391	42	,	,	PUNCT
ejpam-5845	391	43	é	é	PROPN
ejpam-5845	391	44	)	)	PUNCT
ejpam-5845	391	45	⊇	⊇	NOUN
ejpam-5845	391	46	nscl(nsint	nscl(nsint	PROPN
ejpam-5845	391	47	(	(	PUNCT
ejpam-5845	391	48	˜̈υ	˜̈υ	PROPN
ejpam-5845	391	49	,	,	PUNCT
ejpam-5845	391	50	é	é	PROPN
ejpam-5845	391	51	)	)	PUNCT
ejpam-5845	391	52	)	)	PUNCT
ejpam-5845	392	1	⋒nsint(nscl	⋒nsint(nscl	PUNCT
ejpam-5845	392	2	(	(	PUNCT
ejpam-5845	392	3	˜̈υ	˜̈υ	PROPN
ejpam-5845	392	4	,	,	PUNCT
ejpam-5845	392	5	é	é	PROPN
ejpam-5845	392	6	)	)	PUNCT
ejpam-5845	392	7	)	)	PUNCT
ejpam-5845	392	8	.	.	PUNCT
ejpam-5845	393	1	definition	definition	NOUN
ejpam-5845	393	2	27	27	NUM
ejpam-5845	393	3	.	.	PUNCT
ejpam-5845	394	1	let	let	AUX
ejpam-5845	394	2	(	(	PUNCT
ejpam-5845	394	3	m	m	NOUN
ejpam-5845	394	4	,	,	PUNCT
ejpam-5845	394	5	τ1	τ1	NOUN
ejpam-5845	394	6	,	,	PUNCT
ejpam-5845	394	7	τ2	τ2	PROPN
ejpam-5845	394	8	,	,	PUNCT
ejpam-5845	394	9	é	é	PROPN
ejpam-5845	394	10	)	)	PUNCT
ejpam-5845	394	11	be	be	VERB
ejpam-5845	394	12	a	a	DET
ejpam-5845	394	13	quadri	quadri	NOUN
ejpam-5845	394	14	-	-	PUNCT
ejpam-5845	394	15	partitioned	partition	VERB
ejpam-5845	394	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	394	17	soft	soft	ADJ
ejpam-5845	394	18	bi	bi	ADJ
ejpam-5845	394	19	-	-	ADJ
ejpam-5845	394	20	topological	topological	ADJ
ejpam-5845	394	21	space	space	NOUN
ejpam-5845	394	22	over	over	ADP
ejpam-5845	394	23	m	m	PROPN
ejpam-5845	394	24	,	,	PUNCT
ejpam-5845	394	25	and	and	CCONJ
ejpam-5845	394	26	(	(	PUNCT
ejpam-5845	394	27	˜̈υ	˜̈υ	PROPN
ejpam-5845	394	28	,	,	PUNCT
ejpam-5845	394	29	é	é	PROPN
ejpam-5845	394	30	)	)	PUNCT
ejpam-5845	394	31	be	be	AUX
ejpam-5845	394	32	a	a	DET
ejpam-5845	394	33	qpns	qpns	NOUN
ejpam-5845	394	34	.	.	PUNCT
ejpam-5845	395	1	the	the	DET
ejpam-5845	395	2	interior	interior	PROPN
ejpam-5845	395	3	of	of	ADP
ejpam-5845	395	4	(	(	PUNCT
ejpam-5845	395	5	˜̈υ	˜̈υ	PROPN
ejpam-5845	395	6	,	,	PUNCT
ejpam-5845	395	7	é	é	PROPN
ejpam-5845	395	8	)	)	PUNCT
ejpam-5845	395	9	,	,	PUNCT
ejpam-5845	395	10	denoted	denote	VERB
ejpam-5845	395	11	by	by	ADP
ejpam-5845	395	12	(	(	PUNCT
ejpam-5845	395	13	˜̈υ	˜̈υ	PROPN
ejpam-5845	395	14	,	,	PUNCT
ejpam-5845	395	15	é	é	PROPN
ejpam-5845	395	16	)	)	PUNCT
ejpam-5845	395	17	◦	◦	NOUN
ejpam-5845	395	18	,	,	PUNCT
ejpam-5845	395	19	is	be	AUX
ejpam-5845	395	20	the	the	DET
ejpam-5845	395	21	union	union	NOUN
ejpam-5845	395	22	of	of	ADP
ejpam-5845	395	23	all	all	DET
ejpam-5845	395	24	qpns	qpns	NOUN
ejpam-5845	395	25	p	p	ADJ
ejpam-5845	395	26	-	-	PUNCT
ejpam-5845	395	27	open	open	ADJ
ejpam-5845	395	28	sets	set	NOUN
ejpam-5845	395	29	of	of	ADP
ejpam-5845	395	30	(	(	PUNCT
ejpam-5845	395	31	˜̈υ	˜̈υ	PROPN
ejpam-5845	395	32	,	,	PUNCT
ejpam-5845	395	33	é	é	PROPN
ejpam-5845	395	34	)	)	PUNCT
ejpam-5845	395	35	.	.	PUNCT
ejpam-5845	396	1	clearly	clearly	ADV
ejpam-5845	396	2	,	,	PUNCT
ejpam-5845	396	3	(	(	PUNCT
ejpam-5845	396	4	˜̈υ	˜̈υ	PROPN
ejpam-5845	396	5	,	,	PUNCT
ejpam-5845	396	6	é	é	PROPN
ejpam-5845	396	7	)	)	PUNCT
ejpam-5845	396	8	◦	◦	NOUN
ejpam-5845	396	9	is	be	AUX
ejpam-5845	396	10	the	the	DET
ejpam-5845	396	11	largest	large	ADJ
ejpam-5845	396	12	qpns	qpns	NOUN
ejpam-5845	396	13	p	p	VERB
ejpam-5845	396	14	-	-	PUNCT
ejpam-5845	396	15	open	open	ADJ
ejpam-5845	396	16	set	set	NOUN
ejpam-5845	396	17	contained	contain	VERB
ejpam-5845	396	18	in	in	ADP
ejpam-5845	396	19	(	(	PUNCT
ejpam-5845	396	20	˜̈υ	˜̈υ	PROPN
ejpam-5845	396	21	,	,	PUNCT
ejpam-5845	396	22	é	é	PROPN
ejpam-5845	396	23	)	)	PUNCT
ejpam-5845	396	24	.	.	PUNCT
ejpam-5845	397	1	definition	definition	NOUN
ejpam-5845	397	2	28	28	NUM
ejpam-5845	397	3	.	.	PUNCT
ejpam-5845	398	1	let	let	AUX
ejpam-5845	398	2	(	(	PUNCT
ejpam-5845	398	3	m	m	NOUN
ejpam-5845	398	4	,	,	PUNCT
ejpam-5845	398	5	τ1	τ1	NOUN
ejpam-5845	398	6	,	,	PUNCT
ejpam-5845	398	7	τ2	τ2	PROPN
ejpam-5845	398	8	,	,	PUNCT
ejpam-5845	398	9	é	é	PROPN
ejpam-5845	398	10	)	)	PUNCT
ejpam-5845	398	11	be	be	VERB
ejpam-5845	398	12	a	a	DET
ejpam-5845	398	13	quadri	quadri	NOUN
ejpam-5845	398	14	-	-	PUNCT
ejpam-5845	398	15	partitioned	partition	VERB
ejpam-5845	398	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	398	17	soft	soft	ADJ
ejpam-5845	398	18	bi	bi	ADJ
ejpam-5845	398	19	-	-	ADJ
ejpam-5845	398	20	topological	topological	ADJ
ejpam-5845	398	21	space	space	NOUN
ejpam-5845	398	22	,	,	PUNCT
ejpam-5845	398	23	and	and	CCONJ
ejpam-5845	398	24	(	(	PUNCT
ejpam-5845	398	25	˜̈υ	˜̈υ	PROPN
ejpam-5845	398	26	,	,	PUNCT
ejpam-5845	398	27	é	é	PROPN
ejpam-5845	398	28	)	)	PUNCT
ejpam-5845	398	29	be	be	AUX
ejpam-5845	398	30	a	a	DET
ejpam-5845	398	31	qpns	qpns	NOUN
ejpam-5845	398	32	.	.	PUNCT
ejpam-5845	399	1	the	the	DET
ejpam-5845	399	2	frontier	frontier	NOUN
ejpam-5845	399	3	of	of	ADP
ejpam-5845	399	4	(	(	PUNCT
ejpam-5845	399	5	˜̈υ	˜̈υ	PROPN
ejpam-5845	399	6	,	,	PUNCT
ejpam-5845	399	7	é	é	PROPN
ejpam-5845	399	8	)	)	PUNCT
ejpam-5845	399	9	,	,	PUNCT
ejpam-5845	399	10	denoted	denote	VERB
ejpam-5845	399	11	by	by	ADP
ejpam-5845	399	12	fr	fr	PROPN
ejpam-5845	399	13	(	(	PUNCT
ejpam-5845	399	14	(	(	PUNCT
ejpam-5845	399	15	˜̈υ	˜̈υ	PROPN
ejpam-5845	399	16	,	,	PUNCT
ejpam-5845	399	17	é	é	PROPN
ejpam-5845	399	18	)	)	PUNCT
ejpam-5845	399	19	)	)	PUNCT
ejpam-5845	399	20	,	,	PUNCT
ejpam-5845	399	21	is	be	AUX
ejpam-5845	399	22	a	a	DET
ejpam-5845	399	23	qpns	qpns	NOUN
ejpam-5845	399	24	point	point	NOUN
ejpam-5845	399	25	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	ADV
ejpam-5845	399	26	such	such	ADJ
ejpam-5845	399	27	that	that	SCONJ
ejpam-5845	399	28	every	every	DET
ejpam-5845	399	29	qpns	qpns	NOUN
ejpam-5845	399	30	p	p	NOUN
ejpam-5845	399	31	-	-	PUNCT
ejpam-5845	399	32	open	open	ADJ
ejpam-5845	399	33	set	set	NOUN
ejpam-5845	399	34	containing	contain	VERB
ejpam-5845	399	35	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	399	36	contains	contain	VERB
ejpam-5845	399	37	at	at	ADV
ejpam-5845	399	38	least	least	ADV
ejpam-5845	399	39	one	one	NUM
ejpam-5845	399	40	point	point	NOUN
ejpam-5845	399	41	of	of	ADP
ejpam-5845	399	42	(	(	PUNCT
ejpam-5845	399	43	˜̈υ	˜̈υ	PROPN
ejpam-5845	399	44	,	,	PUNCT
ejpam-5845	399	45	é	é	PROPN
ejpam-5845	399	46	)	)	PUNCT
ejpam-5845	399	47	and	and	CCONJ
ejpam-5845	399	48	at	at	ADV
ejpam-5845	399	49	least	least	ADV
ejpam-5845	399	50	one	one	NUM
ejpam-5845	399	51	qpns	qpns	NOUN
ejpam-5845	399	52	point	point	NOUN
ejpam-5845	399	53	of	of	ADP
ejpam-5845	399	54	(	(	PUNCT
ejpam-5845	399	55	˜̈υ	˜̈υ	PROPN
ejpam-5845	399	56	,	,	PUNCT
ejpam-5845	399	57	é)c	é)c	NOUN
ejpam-5845	399	58	.	.	NOUN
ejpam-5845	399	59	definition	definition	NOUN
ejpam-5845	399	60	29	29	NUM
ejpam-5845	399	61	.	.	PUNCT
ejpam-5845	400	1	if	if	SCONJ
ejpam-5845	400	2	(	(	PUNCT
ejpam-5845	400	3	m	m	NOUN
ejpam-5845	400	4	,	,	PUNCT
ejpam-5845	400	5	τ1	τ1	NOUN
ejpam-5845	400	6	,	,	PUNCT
ejpam-5845	400	7	τ2	τ2	PROPN
ejpam-5845	400	8	,	,	PUNCT
ejpam-5845	400	9	é	é	PROPN
ejpam-5845	400	10	)	)	PUNCT
ejpam-5845	400	11	is	be	AUX
ejpam-5845	400	12	a	a	DET
ejpam-5845	400	13	quadri	quadri	NOUN
ejpam-5845	400	14	-	-	PUNCT
ejpam-5845	400	15	partitioned	partition	VERB
ejpam-5845	400	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	400	17	soft	soft	ADJ
ejpam-5845	400	18	bi	bi	ADJ
ejpam-5845	400	19	-	-	ADJ
ejpam-5845	400	20	topological	topological	ADJ
ejpam-5845	400	21	space	space	NOUN
ejpam-5845	400	22	and	and	CCONJ
ejpam-5845	400	23	(	(	PUNCT
ejpam-5845	400	24	˜̈υ	˜̈υ	PROPN
ejpam-5845	400	25	,	,	PUNCT
ejpam-5845	400	26	é	é	PROPN
ejpam-5845	400	27	)	)	PUNCT
ejpam-5845	400	28	is	be	AUX
ejpam-5845	400	29	a	a	DET
ejpam-5845	400	30	qpns	qpns	NOUN
ejpam-5845	400	31	,	,	PUNCT
ejpam-5845	400	32	then	then	ADV
ejpam-5845	400	33	the	the	DET
ejpam-5845	400	34	exterior	exterior	NOUN
ejpam-5845	400	35	of	of	ADP
ejpam-5845	400	36	(	(	PUNCT
ejpam-5845	400	37	˜̈υ	˜̈υ	PROPN
ejpam-5845	400	38	,	,	PUNCT
ejpam-5845	400	39	é	é	PROPN
ejpam-5845	400	40	)	)	PUNCT
ejpam-5845	400	41	,	,	PUNCT
ejpam-5845	400	42	denoted	denote	VERB
ejpam-5845	400	43	by	by	ADP
ejpam-5845	400	44	ext	ext	PROPN
ejpam-5845	400	45	(	(	PUNCT
ejpam-5845	400	46	(	(	PUNCT
ejpam-5845	400	47	˜̈υ	˜̈υ	PROPN
ejpam-5845	400	48	,	,	PUNCT
ejpam-5845	400	49	é	é	PROPN
ejpam-5845	400	50	)	)	PUNCT
ejpam-5845	400	51	)	)	PUNCT
ejpam-5845	400	52	,	,	PUNCT
ejpam-5845	400	53	is	be	AUX
ejpam-5845	400	54	a	a	DET
ejpam-5845	400	55	qpns	qpns	NOUN
ejpam-5845	400	56	point	point	NOUN
ejpam-5845	400	57	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	ADV
ejpam-5845	400	58	such	such	ADJ
ejpam-5845	400	59	that	that	SCONJ
ejpam-5845	400	60	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	400	61	is	be	AUX
ejpam-5845	400	62	in	in	ADP
ejpam-5845	400	63	the	the	DET
ejpam-5845	400	64	interior	interior	NOUN
ejpam-5845	400	65	of	of	ADP
ejpam-5845	400	66	(	(	PUNCT
ejpam-5845	400	67	˜̈υ	˜̈υ	PROPN
ejpam-5845	400	68	,	,	PUNCT
ejpam-5845	400	69	é)c	é)c	NOUN
ejpam-5845	400	70	,	,	PUNCT
ejpam-5845	400	71	i.e.	i.e.	X
ejpam-5845	400	72	,	,	PUNCT
ejpam-5845	400	73	there	there	PRON
ejpam-5845	400	74	exists	exist	VERB
ejpam-5845	400	75	a	a	DET
ejpam-5845	400	76	qpns	qpns	NOUN
ejpam-5845	400	77	p	p	NOUN
ejpam-5845	400	78	-	-	PUNCT
ejpam-5845	400	79	open	open	ADJ
ejpam-5845	400	80	set	set	NOUN
ejpam-5845	400	81	(	(	PUNCT
ejpam-5845	400	82	g̃	g̃	PROPN
ejpam-5845	400	83	,	,	PUNCT
ejpam-5845	400	84	é	é	PROPN
ejpam-5845	400	85	)	)	PUNCT
ejpam-5845	400	86	such	such	ADJ
ejpam-5845	400	87	that	that	SCONJ
ejpam-5845	400	88	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	400	89	∈	∈	PROPN
ejpam-5845	400	90	(	(	PUNCT
ejpam-5845	400	91	g̃	g̃	PROPN
ejpam-5845	400	92	,	,	PUNCT
ejpam-5845	400	93	é	é	PROPN
ejpam-5845	400	94	)	)	PUNCT
ejpam-5845	400	95	⊆	⊆	NUM
ejpam-5845	400	96	(	(	PUNCT
ejpam-5845	400	97	˜̈υ	˜̈υ	PROPN
ejpam-5845	400	98	,	,	PUNCT
ejpam-5845	400	99	é)c	é)c	NOUN
ejpam-5845	400	100	.	.	NOUN
ejpam-5845	400	101	definition	definition	NOUN
ejpam-5845	400	102	30	30	NUM
ejpam-5845	400	103	.	.	PUNCT
ejpam-5845	401	1	if	if	SCONJ
ejpam-5845	401	2	(	(	PUNCT
ejpam-5845	401	3	m̃	m̃	PROPN
ejpam-5845	401	4	,	,	PUNCT
ejpam-5845	401	5	τ1	τ1	NOUN
ejpam-5845	401	6	,	,	PUNCT
ejpam-5845	401	7	τ2	τ2	PROPN
ejpam-5845	401	8	,	,	PUNCT
ejpam-5845	401	9	é	é	PROPN
ejpam-5845	401	10	)	)	PUNCT
ejpam-5845	401	11	and	and	CCONJ
ejpam-5845	401	12	(	(	PUNCT
ejpam-5845	401	13	⟨y	⟨y	NOUN
ejpam-5845	401	14	⟩,f1,f2	⟩,f1,f2	NOUN
ejpam-5845	401	15	,	,	PUNCT
ejpam-5845	401	16	é	é	PROPN
ejpam-5845	401	17	)	)	PUNCT
ejpam-5845	401	18	are	be	AUX
ejpam-5845	401	19	quadri	quadri	NOUN
ejpam-5845	401	20	-	-	PUNCT
ejpam-5845	401	21	partitioned	partition	VERB
ejpam-5845	401	22	neutrosophic	neutrosophic	ADJ
ejpam-5845	401	23	soft	soft	ADJ
ejpam-5845	401	24	bi	bi	ADJ
ejpam-5845	401	25	-	-	ADJ
ejpam-5845	401	26	topological	topological	ADJ
ejpam-5845	401	27	spaces	space	NOUN
ejpam-5845	401	28	,	,	PUNCT
ejpam-5845	401	29	and	and	CCONJ
ejpam-5845	401	30	(	(	PUNCT
ejpam-5845	401	31	f	f	X
ejpam-5845	401	32	,	,	PUNCT
ejpam-5845	401	33	˜̈υ	˜̈υ	PROPN
ejpam-5845	401	34	)	)	PUNCT
ejpam-5845	401	35	:	:	PUNCT
ejpam-5845	401	36	(	(	PUNCT
ejpam-5845	401	37	m̃	m̃	PROPN
ejpam-5845	401	38	,	,	PUNCT
ejpam-5845	401	39	τ1	τ1	NOUN
ejpam-5845	401	40	,	,	PUNCT
ejpam-5845	401	41	τ2	τ2	PROPN
ejpam-5845	401	42	,	,	PUNCT
ejpam-5845	401	43	é	é	PROPN
ejpam-5845	401	44	)	)	PUNCT
ejpam-5845	401	45	→	→	SYM
ejpam-5845	401	46	(	(	PUNCT
ejpam-5845	401	47	⟨y	⟨y	NOUN
ejpam-5845	401	48	⟩,f1,f2	⟩,f1,f2	NOUN
ejpam-5845	401	49	,	,	PUNCT
ejpam-5845	401	50	é	é	PROPN
ejpam-5845	401	51	)	)	PUNCT
ejpam-5845	401	52	is	be	AUX
ejpam-5845	401	53	a	a	DET
ejpam-5845	401	54	qpns	qpns	NOUN
ejpam-5845	401	55	mapping	mapping	NOUN
ejpam-5845	401	56	,	,	PUNCT
ejpam-5845	401	57	then	then	ADV
ejpam-5845	401	58	(	(	PUNCT
ejpam-5845	401	59	f	f	X
ejpam-5845	401	60	,	,	PUNCT
ejpam-5845	401	61	˜̈υ	˜̈υ	PROPN
ejpam-5845	401	62	)	)	PUNCT
ejpam-5845	401	63	is	be	AUX
ejpam-5845	401	64	said	say	VERB
ejpam-5845	401	65	to	to	PART
ejpam-5845	401	66	be	be	AUX
ejpam-5845	401	67	a	a	DET
ejpam-5845	401	68	qpns	qpns	NOUN
ejpam-5845	401	69	p	p	NOUN
ejpam-5845	401	70	-	-	PUNCT
ejpam-5845	401	71	close	close	NOUN
ejpam-5845	401	72	mapping	mapping	NOUN
ejpam-5845	401	73	if	if	SCONJ
ejpam-5845	401	74	the	the	DET
ejpam-5845	401	75	image	image	NOUN
ejpam-5845	401	76	(	(	PUNCT
ejpam-5845	401	77	f	f	X
ejpam-5845	401	78	,	,	PUNCT
ejpam-5845	401	79	˜̈υ	˜̈υ	PROPN
ejpam-5845	401	80	)	)	PUNCT
ejpam-5845	401	81	(	(	PUNCT
ejpam-5845	401	82	˜̈υ	˜̈υ	PROPN
ejpam-5845	401	83	,	,	PUNCT
ejpam-5845	401	84	é	é	PROPN
ejpam-5845	401	85	)	)	PUNCT
ejpam-5845	401	86	of	of	ADP
ejpam-5845	401	87	each	each	DET
ejpam-5845	401	88	qpns	qpns	NOUN
ejpam-5845	401	89	p	p	NOUN
ejpam-5845	401	90	-	-	PUNCT
ejpam-5845	401	91	closed	close	VERB
ejpam-5845	401	92	set	set	NOUN
ejpam-5845	401	93	(	(	PUNCT
ejpam-5845	401	94	˜̈υ	˜̈υ	PROPN
ejpam-5845	401	95	,	,	PUNCT
ejpam-5845	401	96	é	é	PROPN
ejpam-5845	401	97	)	)	PUNCT
ejpam-5845	401	98	over	over	ADP
ejpam-5845	401	99	m̃	m̃	PROPN
ejpam-5845	401	100	is	be	AUX
ejpam-5845	401	101	a	a	DET
ejpam-5845	401	102	qpns	qpns	NOUN
ejpam-5845	401	103	p	p	NOUN
ejpam-5845	401	104	-	-	PUNCT
ejpam-5845	401	105	closed	close	VERB
ejpam-5845	401	106	set	set	NOUN
ejpam-5845	401	107	in	in	ADP
ejpam-5845	401	108	⟨y	⟨y	NOUN
ejpam-5845	401	109	⟩.	⟩.	PROPN
ejpam-5845	401	110	theorem	theorem	VERB
ejpam-5845	401	111	5	5	NUM
ejpam-5845	401	112	.	.	PUNCT
ejpam-5845	402	1	let	let	AUX
ejpam-5845	402	2	(	(	PUNCT
ejpam-5845	402	3	m	m	NOUN
ejpam-5845	402	4	,	,	PUNCT
ejpam-5845	402	5	τ1	τ1	NOUN
ejpam-5845	402	6	,	,	PUNCT
ejpam-5845	402	7	τ2	τ2	PROPN
ejpam-5845	402	8	,	,	PUNCT
ejpam-5845	402	9	é	é	PROPN
ejpam-5845	402	10	)	)	PUNCT
ejpam-5845	402	11	be	be	VERB
ejpam-5845	402	12	a	a	DET
ejpam-5845	402	13	quadri	quadri	NOUN
ejpam-5845	402	14	-	-	PUNCT
ejpam-5845	402	15	partitioned	partition	VERB
ejpam-5845	402	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	402	17	soft	soft	ADJ
ejpam-5845	402	18	bi	bi	ADJ
ejpam-5845	402	19	-	-	ADJ
ejpam-5845	402	20	topological	topological	ADJ
ejpam-5845	402	21	space	space	NOUN
ejpam-5845	402	22	over	over	ADP
ejpam-5845	402	23	m	m	PROPN
ejpam-5845	402	24	and	and	CCONJ
ejpam-5845	402	25	(	(	PUNCT
ejpam-5845	402	26	˜̈υ	˜̈υ	PROPN
ejpam-5845	402	27	,	,	PUNCT
ejpam-5845	402	28	é	é	PROPN
ejpam-5845	402	29	)	)	PUNCT
ejpam-5845	402	30	be	be	VERB
ejpam-5845	402	31	a	a	DET
ejpam-5845	402	32	qpns	qpns	NOUN
ejpam-5845	402	33	subset	subset	VERB
ejpam-5845	402	34	.	.	PUNCT
ejpam-5845	403	1	then	then	ADV
ejpam-5845	403	2	,	,	PUNCT
ejpam-5845	403	3	(	(	PUNCT
ejpam-5845	403	4	˜̈υ	˜̈υ	PROPN
ejpam-5845	403	5	,	,	PUNCT
ejpam-5845	403	6	é	é	PROPN
ejpam-5845	403	7	)	)	PUNCT
ejpam-5845	403	8	is	be	AUX
ejpam-5845	403	9	a	a	DET
ejpam-5845	403	10	qpns	qpns	NOUN
ejpam-5845	403	11	p	p	NOUN
ejpam-5845	403	12	-	-	PUNCT
ejpam-5845	403	13	open	open	NOUN
ejpam-5845	403	14	set	set	NOUN
ejpam-5845	403	15	if	if	SCONJ
ejpam-5845	403	16	and	and	CCONJ
ejpam-5845	403	17	only	only	ADV
ejpam-5845	403	18	if	if	SCONJ
ejpam-5845	403	19	(	(	PUNCT
ejpam-5845	403	20	˜̈υ	˜̈υ	PROPN
ejpam-5845	403	21	,	,	PUNCT
ejpam-5845	403	22	é	é	PROPN
ejpam-5845	403	23	)	)	PUNCT
ejpam-5845	403	24	=	=	SYM
ejpam-5845	403	25	(	(	PUNCT
ejpam-5845	403	26	˜̈υ	˜̈υ	PROPN
ejpam-5845	403	27	,	,	PUNCT
ejpam-5845	403	28	é)	é)	X
ejpam-5845	403	29	◦	◦	NOUN
ejpam-5845	403	30	.	.	PUNCT
ejpam-5845	404	1	proof	proof	NOUN
ejpam-5845	404	2	.	.	PUNCT
ejpam-5845	405	1	let	let	AUX
ejpam-5845	405	2	(	(	PUNCT
ejpam-5845	405	3	˜̈υ	˜̈υ	PROPN
ejpam-5845	405	4	,	,	PUNCT
ejpam-5845	405	5	é	é	PROPN
ejpam-5845	405	6	)	)	PUNCT
ejpam-5845	405	7	be	be	VERB
ejpam-5845	405	8	a	a	DET
ejpam-5845	405	9	qpns	qpns	NOUN
ejpam-5845	405	10	p	p	NOUN
ejpam-5845	405	11	-	-	PUNCT
ejpam-5845	405	12	open	open	ADJ
ejpam-5845	405	13	set	set	NOUN
ejpam-5845	405	14	.	.	PUNCT
ejpam-5845	406	1	then	then	ADV
ejpam-5845	406	2	,	,	PUNCT
ejpam-5845	406	3	the	the	DET
ejpam-5845	406	4	largest	large	ADJ
ejpam-5845	406	5	qpns	qpns	NOUN
ejpam-5845	406	6	p	p	VERB
ejpam-5845	406	7	-	-	PUNCT
ejpam-5845	406	8	open	open	ADJ
ejpam-5845	406	9	set	set	NOUN
ejpam-5845	406	10	contained	contain	VERB
ejpam-5845	406	11	in	in	ADP
ejpam-5845	406	12	(	(	PUNCT
ejpam-5845	406	13	˜̈υ	˜̈υ	PROPN
ejpam-5845	406	14	,	,	PUNCT
ejpam-5845	406	15	é	é	PROPN
ejpam-5845	406	16	)	)	PUNCT
ejpam-5845	406	17	is	be	AUX
ejpam-5845	406	18	equal	equal	ADJ
ejpam-5845	406	19	to	to	ADP
ejpam-5845	406	20	(	(	PUNCT
ejpam-5845	406	21	˜̈υ	˜̈υ	PROPN
ejpam-5845	406	22	,	,	PUNCT
ejpam-5845	406	23	é	é	PROPN
ejpam-5845	406	24	)	)	PUNCT
ejpam-5845	406	25	.	.	PUNCT
ejpam-5845	407	1	hence	hence	ADV
ejpam-5845	407	2	,	,	PUNCT
ejpam-5845	407	3	(	(	PUNCT
ejpam-5845	407	4	˜̈υ	˜̈υ	PROPN
ejpam-5845	407	5	,	,	PUNCT
ejpam-5845	407	6	é	é	PROPN
ejpam-5845	407	7	)	)	PUNCT
ejpam-5845	407	8	=	=	SYM
ejpam-5845	407	9	(	(	PUNCT
ejpam-5845	407	10	˜̈υ	˜̈υ	PROPN
ejpam-5845	407	11	,	,	PUNCT
ejpam-5845	407	12	é)	é)	NOUN
ejpam-5845	407	13	◦	◦	NOUN
ejpam-5845	407	14	.	.	PUNCT
ejpam-5845	408	1	conversely	conversely	ADV
ejpam-5845	408	2	,	,	PUNCT
ejpam-5845	408	3	it	it	PRON
ejpam-5845	408	4	is	be	AUX
ejpam-5845	408	5	known	know	VERB
ejpam-5845	408	6	that	that	SCONJ
ejpam-5845	408	7	(	(	PUNCT
ejpam-5845	408	8	˜̈υ	˜̈υ	PROPN
ejpam-5845	408	9	,	,	PUNCT
ejpam-5845	408	10	é	é	PROPN
ejpam-5845	408	11	)	)	PUNCT
ejpam-5845	408	12	◦	◦	NOUN
ejpam-5845	408	13	is	be	AUX
ejpam-5845	408	14	a	a	DET
ejpam-5845	408	15	qpns	qpns	NOUN
ejpam-5845	408	16	p	p	NOUN
ejpam-5845	408	17	-	-	PUNCT
ejpam-5845	408	18	open	open	ADJ
ejpam-5845	408	19	set	set	NOUN
ejpam-5845	408	20	,	,	PUNCT
ejpam-5845	408	21	and	and	CCONJ
ejpam-5845	408	22	if	if	SCONJ
ejpam-5845	408	23	(	(	PUNCT
ejpam-5845	408	24	˜̈υ	˜̈υ	PROPN
ejpam-5845	408	25	,	,	PUNCT
ejpam-5845	408	26	é	é	PROPN
ejpam-5845	408	27	)	)	PUNCT
ejpam-5845	408	28	=	=	SYM
ejpam-5845	408	29	(	(	PUNCT
ejpam-5845	408	30	˜̈υ	˜̈υ	PROPN
ejpam-5845	408	31	,	,	PUNCT
ejpam-5845	408	32	é	é	PROPN
ejpam-5845	408	33	)	)	PUNCT
ejpam-5845	408	34	◦	◦	NOUN
ejpam-5845	408	35	,	,	PUNCT
ejpam-5845	408	36	then	then	ADV
ejpam-5845	408	37	(	(	PUNCT
ejpam-5845	408	38	˜̈υ	˜̈υ	PROPN
ejpam-5845	408	39	,	,	PUNCT
ejpam-5845	408	40	é	é	PROPN
ejpam-5845	408	41	)	)	PUNCT
ejpam-5845	408	42	is	be	AUX
ejpam-5845	408	43	a	a	DET
ejpam-5845	408	44	qpns	qpns	NOUN
ejpam-5845	408	45	p	p	NOUN
ejpam-5845	408	46	-	-	PUNCT
ejpam-5845	408	47	open	open	ADJ
ejpam-5845	408	48	set	set	NOUN
ejpam-5845	408	49	.	.	PUNCT
ejpam-5845	409	1	theorem	theorem	VERB
ejpam-5845	409	2	6	6	NUM
ejpam-5845	409	3	.	.	PUNCT
ejpam-5845	410	1	let	let	AUX
ejpam-5845	410	2	(	(	PUNCT
ejpam-5845	410	3	m	m	NOUN
ejpam-5845	410	4	,	,	PUNCT
ejpam-5845	410	5	τ1	τ1	NOUN
ejpam-5845	410	6	,	,	PUNCT
ejpam-5845	410	7	τ2	τ2	PROPN
ejpam-5845	410	8	,	,	PUNCT
ejpam-5845	410	9	é	é	PROPN
ejpam-5845	410	10	)	)	PUNCT
ejpam-5845	410	11	be	be	VERB
ejpam-5845	410	12	a	a	DET
ejpam-5845	410	13	quadri	quadri	NOUN
ejpam-5845	410	14	-	-	PUNCT
ejpam-5845	410	15	partitioned	partition	VERB
ejpam-5845	410	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	410	17	soft	soft	ADJ
ejpam-5845	410	18	bi	bi	ADJ
ejpam-5845	410	19	-	-	ADJ
ejpam-5845	410	20	topological	topological	ADJ
ejpam-5845	410	21	space	space	NOUN
ejpam-5845	410	22	over	over	ADP
ejpam-5845	410	23	m	m	PROPN
ejpam-5845	410	24	,	,	PUNCT
ejpam-5845	410	25	and	and	CCONJ
ejpam-5845	410	26	let	let	VERB
ejpam-5845	410	27	(	(	PUNCT
ejpam-5845	410	28	υ̃	υ̃	PROPN
ejpam-5845	410	29	,	,	PUNCT
ejpam-5845	410	30	é	é	PROPN
ejpam-5845	410	31	)	)	PUNCT
ejpam-5845	410	32	and	and	CCONJ
ejpam-5845	410	33	(	(	PUNCT
ejpam-5845	410	34	ξ̃	ξ̃	PROPN
ejpam-5845	410	35	,	,	PUNCT
ejpam-5845	410	36	é	é	PROPN
ejpam-5845	410	37	)	)	PUNCT
ejpam-5845	410	38	be	be	VERB
ejpam-5845	410	39	qpns	qpns	NOUN
ejpam-5845	410	40	subsets	subset	NOUN
ejpam-5845	410	41	.	.	PUNCT
ejpam-5845	411	1	then	then	ADV
ejpam-5845	411	2	:	:	PUNCT
ejpam-5845	411	3	(	(	PUNCT
ejpam-5845	411	4	i	i	NOUN
ejpam-5845	411	5	)	)	PUNCT
ejpam-5845	412	1	[	[	X
ejpam-5845	412	2	(	(	PUNCT
ejpam-5845	412	3	υ̃	υ̃	PROPN
ejpam-5845	412	4	,	,	PUNCT
ejpam-5845	412	5	é	é	PROPN
ejpam-5845	412	6	)	)	PUNCT
ejpam-5845	412	7	◦	◦	NOUN
ejpam-5845	412	8	]	]	X
ejpam-5845	412	9	◦	◦	NOUN
ejpam-5845	412	10	=	=	SYM
ejpam-5845	412	11	(	(	PUNCT
ejpam-5845	412	12	υ̃	υ̃	PROPN
ejpam-5845	412	13	,	,	PUNCT
ejpam-5845	412	14	é	é	PROPN
ejpam-5845	412	15	)	)	PUNCT
ejpam-5845	412	16	◦	◦	NOUN
ejpam-5845	412	17	,	,	PUNCT
ejpam-5845	412	18	m.	m.	NOUN
ejpam-5845	412	19	m.	m.	PROPN
ejpam-5845	412	20	saeed	saeed	PROPN
ejpam-5845	412	21	et	et	PROPN
ejpam-5845	412	22	al	al	PROPN
ejpam-5845	412	23	.	.	PUNCT
ejpam-5845	412	24	/	/	SYM
ejpam-5845	412	25	eur	eur	PROPN
ejpam-5845	412	26	.	.	PUNCT
ejpam-5845	413	1	j.	j.	PROPN
ejpam-5845	413	2	pure	pure	PROPN
ejpam-5845	413	3	appl	appl	PROPN
ejpam-5845	413	4	.	.	PROPN
ejpam-5845	413	5	math	math	PROPN
ejpam-5845	413	6	,	,	PUNCT
ejpam-5845	413	7	18	18	NUM
ejpam-5845	413	8	(	(	PUNCT
ejpam-5845	413	9	2	2	NUM
ejpam-5845	413	10	)	)	PUNCT
ejpam-5845	413	11	(	(	PUNCT
ejpam-5845	413	12	2025	2025	NUM
ejpam-5845	413	13	)	)	PUNCT
ejpam-5845	413	14	,	,	PUNCT
ejpam-5845	413	15	5845	5845	NUM
ejpam-5845	413	16	17	17	NUM
ejpam-5845	413	17	of	of	ADP
ejpam-5845	413	18	32	32	NUM
ejpam-5845	413	19	(	(	PUNCT
ejpam-5845	413	20	ii	ii	NOUN
ejpam-5845	413	21	)	)	PUNCT
ejpam-5845	413	22	(	(	PUNCT
ejpam-5845	413	23	0(m̃,é	0(m̃,é	NOUN
ejpam-5845	413	24	)	)	PUNCT
ejpam-5845	413	25	)	)	PUNCT
ejpam-5845	414	1	◦	◦	NOUN
ejpam-5845	414	2	=	=	SYM
ejpam-5845	414	3	0(m̃,é	0(m̃,é	NOUN
ejpam-5845	414	4	)	)	PUNCT
ejpam-5845	414	5	and	and	CCONJ
ejpam-5845	414	6	(	(	PUNCT
ejpam-5845	414	7	1(m̃,é	1(m̃,é	NUM
ejpam-5845	414	8	)	)	PUNCT
ejpam-5845	414	9	)	)	PUNCT
ejpam-5845	415	1	◦	◦	NOUN
ejpam-5845	415	2	=	=	SYM
ejpam-5845	415	3	1(m̃,é	1(m̃,é	NUM
ejpam-5845	415	4	)	)	PUNCT
ejpam-5845	415	5	,	,	PUNCT
ejpam-5845	415	6	(	(	PUNCT
ejpam-5845	415	7	iii	iii	X
ejpam-5845	415	8	)	)	PUNCT
ejpam-5845	415	9	if	if	SCONJ
ejpam-5845	415	10	(	(	PUNCT
ejpam-5845	415	11	υ̃	υ̃	PROPN
ejpam-5845	415	12	,	,	PUNCT
ejpam-5845	415	13	é	é	PROPN
ejpam-5845	415	14	)	)	PUNCT
ejpam-5845	416	1	⊆	⊆	NUM
ejpam-5845	416	2	(	(	PUNCT
ejpam-5845	416	3	ξ̃	ξ̃	PROPN
ejpam-5845	416	4	,	,	PUNCT
ejpam-5845	416	5	é	é	PROPN
ejpam-5845	416	6	)	)	PUNCT
ejpam-5845	416	7	,	,	PUNCT
ejpam-5845	416	8	then	then	ADV
ejpam-5845	416	9	(	(	PUNCT
ejpam-5845	416	10	υ̃	υ̃	PROPN
ejpam-5845	416	11	,	,	PUNCT
ejpam-5845	416	12	é	é	PROPN
ejpam-5845	416	13	)	)	PUNCT
ejpam-5845	416	14	◦	◦	NOUN
ejpam-5845	416	15	⊆	⊆	NUM
ejpam-5845	416	16	(	(	PUNCT
ejpam-5845	416	17	ξ̃	ξ̃	PROPN
ejpam-5845	416	18	,	,	PUNCT
ejpam-5845	416	19	é	é	PROPN
ejpam-5845	416	20	)	)	PUNCT
ejpam-5845	416	21	◦	◦	NOUN
ejpam-5845	416	22	,	,	PUNCT
ejpam-5845	416	23	(	(	PUNCT
ejpam-5845	416	24	iv	iv	X
ejpam-5845	416	25	)	)	PUNCT
ejpam-5845	417	1	[	[	X
ejpam-5845	417	2	(	(	PUNCT
ejpam-5845	417	3	υ̃	υ̃	PROPN
ejpam-5845	417	4	,	,	PUNCT
ejpam-5845	417	5	é	é	PROPN
ejpam-5845	417	6	)	)	PUNCT
ejpam-5845	417	7	⋒	⋒	X
ejpam-5845	417	8	(	(	PUNCT
ejpam-5845	417	9	ξ̃	ξ̃	PROPN
ejpam-5845	417	10	,	,	PUNCT
ejpam-5845	417	11	é	é	PROPN
ejpam-5845	417	12	)	)	PUNCT
ejpam-5845	417	13	]	]	X
ejpam-5845	417	14	◦	◦	NOUN
ejpam-5845	417	15	=	=	SYM
ejpam-5845	417	16	(	(	PUNCT
ejpam-5845	417	17	υ̃	υ̃	PROPN
ejpam-5845	417	18	,	,	PUNCT
ejpam-5845	417	19	é	é	PROPN
ejpam-5845	417	20	)	)	PUNCT
ejpam-5845	417	21	◦	◦	NOUN
ejpam-5845	417	22	⋒	⋒	PUNCT
ejpam-5845	417	23	(	(	PUNCT
ejpam-5845	417	24	ξ̃	ξ̃	PROPN
ejpam-5845	417	25	,	,	PUNCT
ejpam-5845	417	26	é	é	PROPN
ejpam-5845	417	27	)	)	PUNCT
ejpam-5845	417	28	◦	◦	NOUN
ejpam-5845	417	29	,	,	PUNCT
ejpam-5845	417	30	(	(	PUNCT
ejpam-5845	417	31	v	v	NOUN
ejpam-5845	417	32	)	)	PUNCT
ejpam-5845	417	33	(	(	PUNCT
ejpam-5845	417	34	υ̃	υ̃	PROPN
ejpam-5845	417	35	,	,	PUNCT
ejpam-5845	417	36	é	é	PROPN
ejpam-5845	417	37	)	)	PUNCT
ejpam-5845	417	38	◦	◦	NOUN
ejpam-5845	417	39	⋓	⋓	NOUN
ejpam-5845	417	40	(	(	PUNCT
ejpam-5845	417	41	ξ̃	ξ̃	PROPN
ejpam-5845	417	42	,	,	PUNCT
ejpam-5845	417	43	é	é	PROPN
ejpam-5845	417	44	)	)	PUNCT
ejpam-5845	417	45	◦	◦	NOUN
ejpam-5845	417	46	⊆	⊆	NUM
ejpam-5845	417	47	[	[	X
ejpam-5845	417	48	(	(	PUNCT
ejpam-5845	417	49	υ̃	υ̃	PROPN
ejpam-5845	417	50	,	,	PUNCT
ejpam-5845	417	51	é	é	PROPN
ejpam-5845	417	52	)	)	PUNCT
ejpam-5845	417	53	⋓	⋓	NOUN
ejpam-5845	417	54	(	(	PUNCT
ejpam-5845	417	55	ξ̃	ξ̃	PROPN
ejpam-5845	417	56	,	,	PUNCT
ejpam-5845	417	57	é)]	é)]	PROPN
ejpam-5845	417	58	◦	◦	NOUN
ejpam-5845	417	59	.	.	PUNCT
ejpam-5845	417	60	proof	proof	NOUN
ejpam-5845	417	61	.	.	PUNCT
ejpam-5845	418	1	(	(	PUNCT
ejpam-5845	418	2	i	i	NOUN
ejpam-5845	418	3	)	)	PUNCT
ejpam-5845	418	4	since	since	SCONJ
ejpam-5845	418	5	(	(	PUNCT
ejpam-5845	418	6	υ̃	υ̃	PROPN
ejpam-5845	418	7	,	,	PUNCT
ejpam-5845	418	8	é	é	PROPN
ejpam-5845	418	9	)	)	PUNCT
ejpam-5845	418	10	◦	◦	NOUN
ejpam-5845	418	11	is	be	AUX
ejpam-5845	418	12	a	a	DET
ejpam-5845	418	13	qpns	qpns	NOUN
ejpam-5845	418	14	p	p	NOUN
ejpam-5845	418	15	-	-	PUNCT
ejpam-5845	418	16	open	open	ADJ
ejpam-5845	418	17	set	set	NOUN
ejpam-5845	418	18	,	,	PUNCT
ejpam-5845	418	19	it	it	PRON
ejpam-5845	418	20	follows	follow	VERB
ejpam-5845	418	21	that	that	SCONJ
ejpam-5845	418	22	[	[	X
ejpam-5845	418	23	(	(	PUNCT
ejpam-5845	418	24	υ̃	υ̃	PROPN
ejpam-5845	418	25	,	,	PUNCT
ejpam-5845	418	26	é	é	PROPN
ejpam-5845	418	27	)	)	PUNCT
ejpam-5845	418	28	◦	◦	NOUN
ejpam-5845	418	29	]	]	X
ejpam-5845	418	30	◦	◦	NOUN
ejpam-5845	418	31	=	=	SYM
ejpam-5845	418	32	(	(	PUNCT
ejpam-5845	418	33	υ̃	υ̃	PROPN
ejpam-5845	418	34	,	,	PUNCT
ejpam-5845	418	35	é)	é)	PROPN
ejpam-5845	418	36	◦	◦	NOUN
ejpam-5845	418	37	.	.	PUNCT
ejpam-5845	419	1	(	(	PUNCT
ejpam-5845	419	2	ii	ii	NOUN
ejpam-5845	419	3	)	)	PUNCT
ejpam-5845	419	4	since	since	SCONJ
ejpam-5845	419	5	0(m̃,é	0(m̃,é	NOUN
ejpam-5845	419	6	)	)	PUNCT
ejpam-5845	419	7	and	and	CCONJ
ejpam-5845	419	8	1(m̃,é	1(m̃,é	NUM
ejpam-5845	419	9	)	)	PUNCT
ejpam-5845	419	10	are	be	AUX
ejpam-5845	419	11	always	always	ADV
ejpam-5845	419	12	qpns	qpns	NOUN
ejpam-5845	419	13	p	p	ADJ
ejpam-5845	419	14	-	-	PUNCT
ejpam-5845	419	15	open	open	ADJ
ejpam-5845	419	16	sets	set	NOUN
ejpam-5845	419	17	,	,	PUNCT
ejpam-5845	419	18	we	we	PRON
ejpam-5845	419	19	have	have	VERB
ejpam-5845	419	20	:	:	PUNCT
ejpam-5845	419	21	(	(	PUNCT
ejpam-5845	419	22	0(m̃,é	0(m̃,é	NOUN
ejpam-5845	419	23	)	)	PUNCT
ejpam-5845	419	24	)	)	PUNCT
ejpam-5845	420	1	◦	◦	NOUN
ejpam-5845	420	2	=	=	SYM
ejpam-5845	420	3	0(m̃,é	0(m̃,é	NOUN
ejpam-5845	420	4	)	)	PUNCT
ejpam-5845	420	5	,	,	PUNCT
ejpam-5845	420	6	and	and	CCONJ
ejpam-5845	420	7	(	(	PUNCT
ejpam-5845	420	8	1(m̃,é	1(m̃,é	NUM
ejpam-5845	420	9	)	)	PUNCT
ejpam-5845	420	10	)	)	PUNCT
ejpam-5845	421	1	◦	◦	NOUN
ejpam-5845	421	2	=	=	SYM
ejpam-5845	421	3	1(m̃,é	1(m̃,é	NUM
ejpam-5845	421	4	)	)	PUNCT
ejpam-5845	421	5	.	.	PUNCT
ejpam-5845	422	1	(	(	PUNCT
ejpam-5845	422	2	iii	iii	NOUN
ejpam-5845	422	3	)	)	PUNCT
ejpam-5845	422	4	given	give	VERB
ejpam-5845	422	5	that	that	PRON
ejpam-5845	422	6	(	(	PUNCT
ejpam-5845	422	7	υ̃	υ̃	PROPN
ejpam-5845	422	8	,	,	PUNCT
ejpam-5845	422	9	é	é	PROPN
ejpam-5845	422	10	)	)	PUNCT
ejpam-5845	422	11	◦	◦	NOUN
ejpam-5845	422	12	⊆	⊆	NUM
ejpam-5845	422	13	(	(	PUNCT
ejpam-5845	422	14	υ̃	υ̃	PROPN
ejpam-5845	422	15	,	,	PUNCT
ejpam-5845	422	16	é	é	PROPN
ejpam-5845	422	17	)	)	PUNCT
ejpam-5845	422	18	⊆	⊆	NUM
ejpam-5845	422	19	(	(	PUNCT
ejpam-5845	422	20	ξ̃	ξ̃	PROPN
ejpam-5845	422	21	,	,	PUNCT
ejpam-5845	422	22	é	é	PROPN
ejpam-5845	422	23	)	)	PUNCT
ejpam-5845	422	24	and	and	CCONJ
ejpam-5845	422	25	(	(	PUNCT
ejpam-5845	422	26	ξ̃	ξ̃	PROPN
ejpam-5845	422	27	,	,	PUNCT
ejpam-5845	422	28	é	é	PROPN
ejpam-5845	422	29	)	)	PUNCT
ejpam-5845	422	30	◦	◦	NOUN
ejpam-5845	422	31	⊆	⊆	NUM
ejpam-5845	422	32	(	(	PUNCT
ejpam-5845	422	33	ξ̃	ξ̃	PROPN
ejpam-5845	422	34	,	,	PUNCT
ejpam-5845	422	35	é	é	PROPN
ejpam-5845	422	36	)	)	PUNCT
ejpam-5845	422	37	,	,	PUNCT
ejpam-5845	422	38	we	we	PRON
ejpam-5845	422	39	conclude	conclude	VERB
ejpam-5845	422	40	that	that	PRON
ejpam-5845	422	41	(	(	PUNCT
ejpam-5845	422	42	υ̃	υ̃	PROPN
ejpam-5845	422	43	,	,	PUNCT
ejpam-5845	422	44	é	é	PROPN
ejpam-5845	422	45	)	)	PUNCT
ejpam-5845	422	46	◦	◦	NOUN
ejpam-5845	422	47	⊆	⊆	NUM
ejpam-5845	422	48	(	(	PUNCT
ejpam-5845	422	49	ξ̃	ξ̃	PROPN
ejpam-5845	422	50	,	,	PUNCT
ejpam-5845	422	51	é)	é)	NOUN
ejpam-5845	422	52	◦	◦	NOUN
ejpam-5845	422	53	.	.	PUNCT
ejpam-5845	423	1	(	(	PUNCT
ejpam-5845	423	2	iv	iv	X
ejpam-5845	423	3	)	)	PUNCT
ejpam-5845	423	4	since	since	SCONJ
ejpam-5845	423	5	(	(	PUNCT
ejpam-5845	423	6	υ̃	υ̃	PROPN
ejpam-5845	423	7	,	,	PUNCT
ejpam-5845	423	8	é	é	PROPN
ejpam-5845	423	9	)	)	PUNCT
ejpam-5845	423	10	⋒	⋒	X
ejpam-5845	423	11	(	(	PUNCT
ejpam-5845	423	12	ξ̃	ξ̃	PROPN
ejpam-5845	423	13	,	,	PUNCT
ejpam-5845	423	14	é	é	PROPN
ejpam-5845	423	15	)	)	PUNCT
ejpam-5845	423	16	⊆	⊆	NUM
ejpam-5845	423	17	(	(	PUNCT
ejpam-5845	423	18	υ̃	υ̃	PROPN
ejpam-5845	423	19	,	,	PUNCT
ejpam-5845	423	20	é	é	PROPN
ejpam-5845	423	21	)	)	PUNCT
ejpam-5845	423	22	and	and	CCONJ
ejpam-5845	423	23	(	(	PUNCT
ejpam-5845	423	24	υ̃	υ̃	PROPN
ejpam-5845	423	25	,	,	PUNCT
ejpam-5845	423	26	é	é	PROPN
ejpam-5845	423	27	)	)	PUNCT
ejpam-5845	423	28	⋒	⋒	X
ejpam-5845	423	29	(	(	PUNCT
ejpam-5845	423	30	ξ̃	ξ̃	PROPN
ejpam-5845	423	31	,	,	PUNCT
ejpam-5845	423	32	é	é	PROPN
ejpam-5845	423	33	)	)	PUNCT
ejpam-5845	423	34	⊆	⊆	NUM
ejpam-5845	423	35	(	(	PUNCT
ejpam-5845	423	36	ξ̃	ξ̃	PROPN
ejpam-5845	423	37	,	,	PUNCT
ejpam-5845	423	38	é	é	PROPN
ejpam-5845	423	39	)	)	PUNCT
ejpam-5845	423	40	,	,	PUNCT
ejpam-5845	423	41	we	we	PRON
ejpam-5845	423	42	have	have	VERB
ejpam-5845	423	43	:	:	PUNCT
ejpam-5845	424	1	[	[	X
ejpam-5845	424	2	(	(	PUNCT
ejpam-5845	424	3	υ̃	υ̃	PROPN
ejpam-5845	424	4	,	,	PUNCT
ejpam-5845	424	5	é	é	PROPN
ejpam-5845	424	6	)	)	PUNCT
ejpam-5845	424	7	⋒	⋒	X
ejpam-5845	424	8	(	(	PUNCT
ejpam-5845	424	9	ξ̃	ξ̃	PROPN
ejpam-5845	424	10	,	,	PUNCT
ejpam-5845	424	11	é	é	PROPN
ejpam-5845	424	12	)	)	PUNCT
ejpam-5845	424	13	]	]	PUNCT
ejpam-5845	424	14	◦	◦	NOUN
ejpam-5845	424	15	⊆	⊆	NUM
ejpam-5845	424	16	(	(	PUNCT
ejpam-5845	424	17	υ̃	υ̃	PROPN
ejpam-5845	424	18	,	,	PUNCT
ejpam-5845	424	19	é	é	PROPN
ejpam-5845	424	20	)	)	PUNCT
ejpam-5845	424	21	◦	◦	NOUN
ejpam-5845	424	22	⋒	⋒	PUNCT
ejpam-5845	424	23	(	(	PUNCT
ejpam-5845	424	24	ξ̃	ξ̃	PROPN
ejpam-5845	424	25	,	,	PUNCT
ejpam-5845	424	26	é)	é)	NOUN
ejpam-5845	424	27	◦	◦	NOUN
ejpam-5845	424	28	.	.	PUNCT
ejpam-5845	425	1	conversely	conversely	ADV
ejpam-5845	425	2	,	,	PUNCT
ejpam-5845	425	3	since	since	SCONJ
ejpam-5845	425	4	(	(	PUNCT
ejpam-5845	425	5	υ̃	υ̃	PROPN
ejpam-5845	425	6	,	,	PUNCT
ejpam-5845	425	7	é	é	PROPN
ejpam-5845	425	8	)	)	PUNCT
ejpam-5845	425	9	◦	◦	NOUN
ejpam-5845	425	10	⊆	⊆	NUM
ejpam-5845	425	11	(	(	PUNCT
ejpam-5845	425	12	υ̃	υ̃	PROPN
ejpam-5845	425	13	,	,	PUNCT
ejpam-5845	425	14	é	é	PROPN
ejpam-5845	425	15	)	)	PUNCT
ejpam-5845	425	16	and	and	CCONJ
ejpam-5845	425	17	(	(	PUNCT
ejpam-5845	425	18	ξ̃	ξ̃	PROPN
ejpam-5845	425	19	,	,	PUNCT
ejpam-5845	425	20	é	é	PROPN
ejpam-5845	425	21	)	)	PUNCT
ejpam-5845	425	22	◦	◦	NOUN
ejpam-5845	425	23	⊆	⊆	NUM
ejpam-5845	425	24	(	(	PUNCT
ejpam-5845	425	25	ξ̃	ξ̃	PROPN
ejpam-5845	425	26	,	,	PUNCT
ejpam-5845	425	27	é	é	PROPN
ejpam-5845	425	28	)	)	PUNCT
ejpam-5845	425	29	,	,	PUNCT
ejpam-5845	425	30	we	we	PRON
ejpam-5845	425	31	also	also	ADV
ejpam-5845	425	32	obtain	obtain	VERB
ejpam-5845	425	33	:	:	PUNCT
ejpam-5845	425	34	(	(	PUNCT
ejpam-5845	425	35	υ̃	υ̃	PROPN
ejpam-5845	425	36	,	,	PUNCT
ejpam-5845	425	37	é	é	PROPN
ejpam-5845	425	38	)	)	PUNCT
ejpam-5845	425	39	◦	◦	NOUN
ejpam-5845	425	40	⋒	⋒	PUNCT
ejpam-5845	425	41	(	(	PUNCT
ejpam-5845	425	42	ξ̃	ξ̃	PROPN
ejpam-5845	425	43	,	,	PUNCT
ejpam-5845	425	44	é	é	PROPN
ejpam-5845	425	45	)	)	PUNCT
ejpam-5845	425	46	◦	◦	NOUN
ejpam-5845	425	47	⊆	⊆	NUM
ejpam-5845	425	48	(	(	PUNCT
ejpam-5845	425	49	υ̃	υ̃	PROPN
ejpam-5845	425	50	,	,	PUNCT
ejpam-5845	425	51	é	é	PROPN
ejpam-5845	425	52	)	)	PUNCT
ejpam-5845	425	53	⋒	⋒	X
ejpam-5845	425	54	(	(	PUNCT
ejpam-5845	425	55	ξ̃	ξ̃	PROPN
ejpam-5845	425	56	,	,	PUNCT
ejpam-5845	425	57	é	é	PROPN
ejpam-5845	425	58	)	)	PUNCT
ejpam-5845	425	59	.	.	PUNCT
ejpam-5845	426	1	since	since	SCONJ
ejpam-5845	426	2	(	(	PUNCT
ejpam-5845	426	3	υ̃	υ̃	PROPN
ejpam-5845	426	4	,	,	PUNCT
ejpam-5845	426	5	é	é	PROPN
ejpam-5845	426	6	)	)	PUNCT
ejpam-5845	426	7	◦	◦	NOUN
ejpam-5845	426	8	⋒	⋒	PUNCT
ejpam-5845	426	9	(	(	PUNCT
ejpam-5845	426	10	ξ̃	ξ̃	PROPN
ejpam-5845	426	11	,	,	PUNCT
ejpam-5845	426	12	é	é	PROPN
ejpam-5845	426	13	)	)	PUNCT
ejpam-5845	426	14	◦	◦	NOUN
ejpam-5845	426	15	is	be	AUX
ejpam-5845	426	16	the	the	DET
ejpam-5845	426	17	largest	large	ADJ
ejpam-5845	426	18	qpns	qpns	NOUN
ejpam-5845	426	19	p	p	VERB
ejpam-5845	426	20	-	-	PUNCT
ejpam-5845	426	21	open	open	ADJ
ejpam-5845	426	22	set	set	NOUN
ejpam-5845	426	23	contained	contain	VERB
ejpam-5845	426	24	in	in	ADP
ejpam-5845	426	25	(	(	PUNCT
ejpam-5845	426	26	υ̃	υ̃	PROPN
ejpam-5845	426	27	,	,	PUNCT
ejpam-5845	426	28	é	é	PROPN
ejpam-5845	426	29	)	)	PUNCT
ejpam-5845	426	30	⋒	⋒	X
ejpam-5845	426	31	(	(	PUNCT
ejpam-5845	426	32	ξ̃	ξ̃	PROPN
ejpam-5845	426	33	,	,	PUNCT
ejpam-5845	426	34	é	é	PROPN
ejpam-5845	426	35	)	)	PUNCT
ejpam-5845	426	36	,	,	PUNCT
ejpam-5845	426	37	we	we	PRON
ejpam-5845	426	38	conclude	conclude	VERB
ejpam-5845	426	39	:	:	PUNCT
ejpam-5845	427	1	[	[	X
ejpam-5845	427	2	(	(	PUNCT
ejpam-5845	427	3	υ̃	υ̃	PROPN
ejpam-5845	427	4	,	,	PUNCT
ejpam-5845	427	5	é	é	PROPN
ejpam-5845	427	6	)	)	PUNCT
ejpam-5845	427	7	⋒	⋒	X
ejpam-5845	427	8	(	(	PUNCT
ejpam-5845	427	9	ξ̃	ξ̃	PROPN
ejpam-5845	427	10	,	,	PUNCT
ejpam-5845	427	11	é	é	PROPN
ejpam-5845	427	12	)	)	PUNCT
ejpam-5845	427	13	]	]	X
ejpam-5845	427	14	◦	◦	NOUN
ejpam-5845	427	15	=	=	SYM
ejpam-5845	427	16	(	(	PUNCT
ejpam-5845	427	17	υ̃	υ̃	PROPN
ejpam-5845	427	18	,	,	PUNCT
ejpam-5845	427	19	é	é	PROPN
ejpam-5845	427	20	)	)	PUNCT
ejpam-5845	427	21	◦	◦	NOUN
ejpam-5845	427	22	⋒	⋒	PUNCT
ejpam-5845	427	23	(	(	PUNCT
ejpam-5845	427	24	ξ̃	ξ̃	PROPN
ejpam-5845	427	25	,	,	PUNCT
ejpam-5845	427	26	é)	é)	NOUN
ejpam-5845	427	27	◦	◦	NOUN
ejpam-5845	427	28	.	.	PUNCT
ejpam-5845	428	1	(	(	PUNCT
ejpam-5845	428	2	v	v	NOUN
ejpam-5845	428	3	)	)	PUNCT
ejpam-5845	428	4	since	since	SCONJ
ejpam-5845	428	5	(	(	PUNCT
ejpam-5845	428	6	υ̃	υ̃	PROPN
ejpam-5845	428	7	,	,	PUNCT
ejpam-5845	428	8	é	é	PROPN
ejpam-5845	428	9	)	)	PUNCT
ejpam-5845	428	10	⊆	⊆	NUM
ejpam-5845	428	11	(	(	PUNCT
ejpam-5845	428	12	υ̃	υ̃	PROPN
ejpam-5845	428	13	,	,	PUNCT
ejpam-5845	428	14	é	é	PROPN
ejpam-5845	428	15	)	)	PUNCT
ejpam-5845	428	16	⋓	⋓	NOUN
ejpam-5845	428	17	(	(	PUNCT
ejpam-5845	428	18	ξ̃	ξ̃	PROPN
ejpam-5845	428	19	,	,	PUNCT
ejpam-5845	428	20	é	é	PROPN
ejpam-5845	428	21	)	)	PUNCT
ejpam-5845	428	22	and	and	CCONJ
ejpam-5845	428	23	(	(	PUNCT
ejpam-5845	428	24	ξ̃	ξ̃	PROPN
ejpam-5845	428	25	,	,	PUNCT
ejpam-5845	428	26	é	é	PROPN
ejpam-5845	428	27	)	)	PUNCT
ejpam-5845	428	28	⊆	⊆	NUM
ejpam-5845	428	29	(	(	PUNCT
ejpam-5845	428	30	υ̃	υ̃	PROPN
ejpam-5845	428	31	,	,	PUNCT
ejpam-5845	428	32	é	é	PROPN
ejpam-5845	428	33	)	)	PUNCT
ejpam-5845	428	34	⋓	⋓	NOUN
ejpam-5845	428	35	(	(	PUNCT
ejpam-5845	428	36	ξ̃	ξ̃	PROPN
ejpam-5845	428	37	,	,	PUNCT
ejpam-5845	428	38	é	é	PROPN
ejpam-5845	428	39	)	)	PUNCT
ejpam-5845	428	40	,	,	PUNCT
ejpam-5845	428	41	it	it	PRON
ejpam-5845	428	42	follows	follow	VERB
ejpam-5845	428	43	that	that	SCONJ
ejpam-5845	428	44	:	:	PUNCT
ejpam-5845	428	45	(	(	PUNCT
ejpam-5845	428	46	υ̃	υ̃	PROPN
ejpam-5845	428	47	,	,	PUNCT
ejpam-5845	428	48	é	é	PROPN
ejpam-5845	428	49	)	)	PUNCT
ejpam-5845	428	50	◦	◦	NOUN
ejpam-5845	428	51	⊆	⊆	NUM
ejpam-5845	428	52	[	[	X
ejpam-5845	428	53	(	(	PUNCT
ejpam-5845	428	54	υ̃	υ̃	PROPN
ejpam-5845	428	55	,	,	PUNCT
ejpam-5845	428	56	é	é	PROPN
ejpam-5845	428	57	)	)	PUNCT
ejpam-5845	428	58	⋓	⋓	NOUN
ejpam-5845	428	59	(	(	PUNCT
ejpam-5845	428	60	ξ̃	ξ̃	PROPN
ejpam-5845	428	61	,	,	PUNCT
ejpam-5845	428	62	é	é	PROPN
ejpam-5845	428	63	)	)	PUNCT
ejpam-5845	428	64	]	]	SYM
ejpam-5845	428	65	◦	◦	NOUN
ejpam-5845	428	66	,	,	PUNCT
ejpam-5845	428	67	and	and	CCONJ
ejpam-5845	428	68	(	(	PUNCT
ejpam-5845	428	69	ξ̃	ξ̃	PROPN
ejpam-5845	428	70	,	,	PUNCT
ejpam-5845	428	71	é	é	PROPN
ejpam-5845	428	72	)	)	PUNCT
ejpam-5845	428	73	◦	◦	NOUN
ejpam-5845	428	74	⊆	⊆	NUM
ejpam-5845	428	75	[	[	X
ejpam-5845	428	76	(	(	PUNCT
ejpam-5845	428	77	υ̃	υ̃	PROPN
ejpam-5845	428	78	,	,	PUNCT
ejpam-5845	428	79	é	é	PROPN
ejpam-5845	428	80	)	)	PUNCT
ejpam-5845	428	81	⋓	⋓	NOUN
ejpam-5845	428	82	(	(	PUNCT
ejpam-5845	428	83	ξ̃	ξ̃	PROPN
ejpam-5845	428	84	,	,	PUNCT
ejpam-5845	428	85	é)]	é)]	PROPN
ejpam-5845	428	86	◦	◦	NOUN
ejpam-5845	428	87	.	.	PUNCT
ejpam-5845	429	1	thus	thus	ADV
ejpam-5845	429	2	,	,	PUNCT
ejpam-5845	429	3	(	(	PUNCT
ejpam-5845	429	4	υ̃	υ̃	PROPN
ejpam-5845	429	5	,	,	PUNCT
ejpam-5845	429	6	é	é	PROPN
ejpam-5845	429	7	)	)	PUNCT
ejpam-5845	429	8	◦	◦	NOUN
ejpam-5845	429	9	⋓	⋓	NOUN
ejpam-5845	429	10	(	(	PUNCT
ejpam-5845	429	11	ξ̃	ξ̃	PROPN
ejpam-5845	429	12	,	,	PUNCT
ejpam-5845	429	13	é	é	PROPN
ejpam-5845	429	14	)	)	PUNCT
ejpam-5845	429	15	◦	◦	NOUN
ejpam-5845	429	16	⊆	⊆	NUM
ejpam-5845	429	17	[	[	X
ejpam-5845	429	18	(	(	PUNCT
ejpam-5845	429	19	υ̃	υ̃	PROPN
ejpam-5845	429	20	,	,	PUNCT
ejpam-5845	429	21	é	é	PROPN
ejpam-5845	429	22	)	)	PUNCT
ejpam-5845	429	23	⋓	⋓	NOUN
ejpam-5845	429	24	(	(	PUNCT
ejpam-5845	429	25	ξ̃	ξ̃	PROPN
ejpam-5845	429	26	,	,	PUNCT
ejpam-5845	429	27	é)]	é)]	PROPN
ejpam-5845	429	28	◦	◦	NOUN
ejpam-5845	429	29	.	.	PUNCT
ejpam-5845	429	30	theorem	theorem	VERB
ejpam-5845	429	31	7	7	NUM
ejpam-5845	429	32	.	.	PUNCT
ejpam-5845	430	1	let	let	AUX
ejpam-5845	430	2	(	(	PUNCT
ejpam-5845	430	3	m	m	NOUN
ejpam-5845	430	4	,	,	PUNCT
ejpam-5845	430	5	τ1	τ1	NOUN
ejpam-5845	430	6	,	,	PUNCT
ejpam-5845	430	7	τ2	τ2	PROPN
ejpam-5845	430	8	,	,	PUNCT
ejpam-5845	430	9	é	é	PROPN
ejpam-5845	430	10	)	)	PUNCT
ejpam-5845	430	11	be	be	VERB
ejpam-5845	430	12	a	a	DET
ejpam-5845	430	13	quadri	quadri	NOUN
ejpam-5845	430	14	-	-	PUNCT
ejpam-5845	430	15	partitioned	partition	VERB
ejpam-5845	430	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	430	17	soft	soft	ADJ
ejpam-5845	430	18	bi	bi	ADJ
ejpam-5845	430	19	-	-	ADJ
ejpam-5845	430	20	topological	topological	ADJ
ejpam-5845	430	21	space	space	NOUN
ejpam-5845	430	22	over	over	ADP
ejpam-5845	430	23	m	m	PROPN
ejpam-5845	430	24	,	,	PUNCT
ejpam-5845	430	25	and	and	CCONJ
ejpam-5845	430	26	if	if	SCONJ
ejpam-5845	430	27	(	(	PUNCT
ejpam-5845	430	28	υ̃	υ̃	PROPN
ejpam-5845	430	29	,	,	PUNCT
ejpam-5845	430	30	é	é	PROPN
ejpam-5845	430	31	)	)	PUNCT
ejpam-5845	430	32	is	be	AUX
ejpam-5845	430	33	a	a	DET
ejpam-5845	430	34	qpns	qpns	NOUN
ejpam-5845	430	35	subset	subset	NOUN
ejpam-5845	430	36	,	,	PUNCT
ejpam-5845	430	37	then	then	ADV
ejpam-5845	430	38	(	(	PUNCT
ejpam-5845	430	39	υ̃	υ̃	PROPN
ejpam-5845	430	40	,	,	PUNCT
ejpam-5845	430	41	é	é	PROPN
ejpam-5845	430	42	)	)	PUNCT
ejpam-5845	430	43	is	be	AUX
ejpam-5845	430	44	a	a	DET
ejpam-5845	430	45	qpns	qpns	NOUN
ejpam-5845	430	46	p	p	NOUN
ejpam-5845	430	47	-	-	PUNCT
ejpam-5845	430	48	closed	close	VERB
ejpam-5845	430	49	set	set	NOUN
ejpam-5845	430	50	if	if	SCONJ
ejpam-5845	430	51	and	and	CCONJ
ejpam-5845	430	52	only	only	ADV
ejpam-5845	430	53	if	if	SCONJ
ejpam-5845	430	54	(	(	PUNCT
ejpam-5845	430	55	υ̃	υ̃	PROPN
ejpam-5845	430	56	,	,	PUNCT
ejpam-5845	430	57	é	é	PROPN
ejpam-5845	430	58	)	)	PUNCT
ejpam-5845	430	59	=	=	PUNCT
ejpam-5845	430	60	(	(	PUNCT
ejpam-5845	430	61	υ̃	υ̃	PROPN
ejpam-5845	430	62	,	,	PUNCT
ejpam-5845	430	63	é	é	PROPN
ejpam-5845	430	64	)	)	PUNCT
ejpam-5845	430	65	.	.	PUNCT
ejpam-5845	431	1	proof	proof	NOUN
ejpam-5845	431	2	.	.	PUNCT
ejpam-5845	432	1	suppose	suppose	VERB
ejpam-5845	432	2	that	that	SCONJ
ejpam-5845	432	3	(	(	PUNCT
ejpam-5845	432	4	υ̃	υ̃	PROPN
ejpam-5845	432	5	,	,	PUNCT
ejpam-5845	432	6	é	é	PROPN
ejpam-5845	432	7	)	)	PUNCT
ejpam-5845	432	8	is	be	AUX
ejpam-5845	432	9	a	a	DET
ejpam-5845	432	10	qpns	qpns	NOUN
ejpam-5845	432	11	p	p	NOUN
ejpam-5845	432	12	-	-	PUNCT
ejpam-5845	432	13	closed	close	VERB
ejpam-5845	432	14	set	set	NOUN
ejpam-5845	432	15	,	,	PUNCT
ejpam-5845	432	16	then	then	ADV
ejpam-5845	432	17	we	we	PRON
ejpam-5845	432	18	have	have	VERB
ejpam-5845	432	19	:	:	PUNCT
ejpam-5845	432	20	(	(	PUNCT
ejpam-5845	432	21	υ̃	υ̃	PROPN
ejpam-5845	432	22	,	,	PUNCT
ejpam-5845	432	23	é)d	é)d	ADP
ejpam-5845	432	24	=	=	SYM
ejpam-5845	432	25	(	(	PUNCT
ejpam-5845	432	26	υ̃	υ̃	PROPN
ejpam-5845	432	27	,	,	PUNCT
ejpam-5845	432	28	é	é	PROPN
ejpam-5845	432	29	)	)	PUNCT
ejpam-5845	432	30	which	which	PRON
ejpam-5845	432	31	implies	imply	VERB
ejpam-5845	432	32	that	that	PRON
ejpam-5845	432	33	(	(	PUNCT
ejpam-5845	432	34	υ̃	υ̃	PROPN
ejpam-5845	432	35	,	,	PUNCT
ejpam-5845	432	36	é	é	PROPN
ejpam-5845	432	37	)	)	PUNCT
ejpam-5845	432	38	⋓	⋓	NOUN
ejpam-5845	432	39	(	(	PUNCT
ejpam-5845	432	40	υ̃	υ̃	PROPN
ejpam-5845	432	41	,	,	PUNCT
ejpam-5845	432	42	é)d	é)d	ADP
ejpam-5845	432	43	=	=	SYM
ejpam-5845	432	44	(	(	PUNCT
ejpam-5845	432	45	υ̃	υ̃	PROPN
ejpam-5845	432	46	,	,	PUNCT
ejpam-5845	432	47	é	é	PROPN
ejpam-5845	432	48	)	)	PUNCT
ejpam-5845	432	49	thus	thus	ADV
ejpam-5845	432	50	,	,	PUNCT
ejpam-5845	432	51	(	(	PUNCT
ejpam-5845	432	52	υ̃	υ̃	PROPN
ejpam-5845	432	53	,	,	PUNCT
ejpam-5845	432	54	é	é	PROPN
ejpam-5845	432	55	)	)	PUNCT
ejpam-5845	432	56	=	=	PUNCT
ejpam-5845	432	57	(	(	PUNCT
ejpam-5845	432	58	υ̃	υ̃	PROPN
ejpam-5845	432	59	,	,	PUNCT
ejpam-5845	432	60	é	é	PROPN
ejpam-5845	432	61	)	)	PUNCT
ejpam-5845	432	62	conversely	conversely	ADV
ejpam-5845	432	63	,	,	PUNCT
ejpam-5845	432	64	if	if	SCONJ
ejpam-5845	432	65	(	(	PUNCT
ejpam-5845	432	66	υ̃	υ̃	PROPN
ejpam-5845	432	67	,	,	PUNCT
ejpam-5845	432	68	é	é	PROPN
ejpam-5845	432	69	)	)	PUNCT
ejpam-5845	432	70	=	=	PUNCT
ejpam-5845	432	71	(	(	PUNCT
ejpam-5845	432	72	υ̃	υ̃	PROPN
ejpam-5845	432	73	,	,	PUNCT
ejpam-5845	432	74	é	é	PROPN
ejpam-5845	432	75	)	)	PUNCT
ejpam-5845	432	76	,	,	PUNCT
ejpam-5845	432	77	then	then	ADV
ejpam-5845	432	78	(	(	PUNCT
ejpam-5845	432	79	υ̃	υ̃	PROPN
ejpam-5845	432	80	,	,	PUNCT
ejpam-5845	432	81	é	é	PROPN
ejpam-5845	432	82	)	)	PUNCT
ejpam-5845	432	83	⋓	⋓	NOUN
ejpam-5845	432	84	(	(	PUNCT
ejpam-5845	432	85	υ̃	υ̃	PROPN
ejpam-5845	432	86	,	,	PUNCT
ejpam-5845	432	87	é)d	é)d	ADP
ejpam-5845	432	88	=	=	SYM
ejpam-5845	432	89	(	(	PUNCT
ejpam-5845	432	90	υ̃	υ̃	PROPN
ejpam-5845	432	91	,	,	PUNCT
ejpam-5845	432	92	é	é	PROPN
ejpam-5845	432	93	)	)	PUNCT
ejpam-5845	432	94	which	which	PRON
ejpam-5845	432	95	implies	imply	VERB
ejpam-5845	432	96	that	that	PRON
ejpam-5845	432	97	(	(	PUNCT
ejpam-5845	432	98	υ̃	υ̃	PROPN
ejpam-5845	432	99	,	,	PUNCT
ejpam-5845	432	100	é)d	é)d	ADP
ejpam-5845	432	101	=	=	SYM
ejpam-5845	432	102	(	(	PUNCT
ejpam-5845	432	103	υ̃	υ̃	PROPN
ejpam-5845	432	104	,	,	PUNCT
ejpam-5845	432	105	é	é	PROPN
ejpam-5845	432	106	)	)	PUNCT
ejpam-5845	432	107	thus	thus	ADV
ejpam-5845	432	108	,	,	PUNCT
ejpam-5845	432	109	(	(	PUNCT
ejpam-5845	432	110	υ̃	υ̃	PROPN
ejpam-5845	432	111	,	,	PUNCT
ejpam-5845	432	112	é	é	PROPN
ejpam-5845	432	113	)	)	PUNCT
ejpam-5845	432	114	is	be	AUX
ejpam-5845	432	115	a	a	DET
ejpam-5845	432	116	qpns	qpns	NOUN
ejpam-5845	432	117	p	p	NOUN
ejpam-5845	432	118	-	-	PUNCT
ejpam-5845	432	119	closed	close	VERB
ejpam-5845	432	120	set	set	NOUN
ejpam-5845	432	121	.	.	PUNCT
ejpam-5845	433	1	m.	m.	NOUN
ejpam-5845	433	2	m.	m.	PROPN
ejpam-5845	433	3	saeed	saeed	PROPN
ejpam-5845	433	4	et	et	PROPN
ejpam-5845	433	5	al	al	PROPN
ejpam-5845	433	6	.	.	PUNCT
ejpam-5845	433	7	/	/	SYM
ejpam-5845	433	8	eur	eur	PROPN
ejpam-5845	433	9	.	.	PUNCT
ejpam-5845	434	1	j.	j.	PROPN
ejpam-5845	434	2	pure	pure	PROPN
ejpam-5845	434	3	appl	appl	PROPN
ejpam-5845	434	4	.	.	PROPN
ejpam-5845	434	5	math	math	PROPN
ejpam-5845	434	6	,	,	PUNCT
ejpam-5845	434	7	18	18	NUM
ejpam-5845	434	8	(	(	PUNCT
ejpam-5845	434	9	2	2	NUM
ejpam-5845	434	10	)	)	PUNCT
ejpam-5845	434	11	(	(	PUNCT
ejpam-5845	434	12	2025	2025	NUM
ejpam-5845	434	13	)	)	PUNCT
ejpam-5845	434	14	,	,	PUNCT
ejpam-5845	434	15	5845	5845	NUM
ejpam-5845	434	16	18	18	NUM
ejpam-5845	434	17	of	of	ADP
ejpam-5845	434	18	32	32	NUM
ejpam-5845	434	19	theorem	theorem	NOUN
ejpam-5845	434	20	8	8	NUM
ejpam-5845	434	21	.	.	PUNCT
ejpam-5845	435	1	let	let	AUX
ejpam-5845	435	2	(	(	PUNCT
ejpam-5845	435	3	m	m	NOUN
ejpam-5845	435	4	,	,	PUNCT
ejpam-5845	435	5	τ1	τ1	NOUN
ejpam-5845	435	6	,	,	PUNCT
ejpam-5845	435	7	τ2	τ2	PROPN
ejpam-5845	435	8	,	,	PUNCT
ejpam-5845	435	9	é	é	PROPN
ejpam-5845	435	10	)	)	PUNCT
ejpam-5845	435	11	be	be	VERB
ejpam-5845	435	12	a	a	DET
ejpam-5845	435	13	quadri	quadri	NOUN
ejpam-5845	435	14	-	-	PUNCT
ejpam-5845	435	15	partitioned	partition	VERB
ejpam-5845	435	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	435	17	soft	soft	ADJ
ejpam-5845	435	18	bi	bi	ADJ
ejpam-5845	435	19	-	-	ADJ
ejpam-5845	435	20	topological	topological	ADJ
ejpam-5845	435	21	space	space	NOUN
ejpam-5845	435	22	over	over	ADP
ejpam-5845	435	23	m	m	PROPN
ejpam-5845	435	24	,	,	PUNCT
ejpam-5845	435	25	and	and	CCONJ
ejpam-5845	435	26	let	let	VERB
ejpam-5845	435	27	(	(	PUNCT
ejpam-5845	435	28	υ̃	υ̃	PROPN
ejpam-5845	435	29	,	,	PUNCT
ejpam-5845	435	30	é	é	PROPN
ejpam-5845	435	31	)	)	PUNCT
ejpam-5845	435	32	and	and	CCONJ
ejpam-5845	435	33	(	(	PUNCT
ejpam-5845	435	34	ξ̃	ξ̃	PROPN
ejpam-5845	435	35	,	,	PUNCT
ejpam-5845	435	36	é	é	PROPN
ejpam-5845	435	37	)	)	PUNCT
ejpam-5845	435	38	be	be	VERB
ejpam-5845	435	39	qpns	qpns	NOUN
ejpam-5845	435	40	subsets	subset	NOUN
ejpam-5845	435	41	.	.	PUNCT
ejpam-5845	436	1	then	then	ADV
ejpam-5845	436	2	:	:	PUNCT
ejpam-5845	436	3	(	(	PUNCT
ejpam-5845	436	4	i	i	NOUN
ejpam-5845	436	5	)	)	PUNCT
ejpam-5845	437	1	[	[	X
ejpam-5845	437	2	(	(	PUNCT
ejpam-5845	437	3	υ̃	υ̃	PROPN
ejpam-5845	437	4	,	,	PUNCT
ejpam-5845	437	5	é	é	PROPN
ejpam-5845	437	6	)	)	PUNCT
ejpam-5845	437	7	]	]	PUNCT
ejpam-5845	438	1	=	=	SYM
ejpam-5845	438	2	(	(	PUNCT
ejpam-5845	438	3	υ̃	υ̃	PROPN
ejpam-5845	438	4	,	,	PUNCT
ejpam-5845	438	5	é	é	PROPN
ejpam-5845	438	6	)	)	PUNCT
ejpam-5845	438	7	,	,	PUNCT
ejpam-5845	438	8	(	(	PUNCT
ejpam-5845	438	9	ii	ii	NOUN
ejpam-5845	438	10	)	)	PUNCT
ejpam-5845	438	11	0(⟨m⟩,é	0(⟨m⟩,é	NUM
ejpam-5845	438	12	)	)	PUNCT
ejpam-5845	438	13	=	=	PUNCT
ejpam-5845	438	14	0(⟨m⟩,é	0(⟨m⟩,é	NUM
ejpam-5845	438	15	)	)	PUNCT
ejpam-5845	438	16	and	and	CCONJ
ejpam-5845	438	17	1(⟨m⟩,é	1(⟨m⟩,é	NUM
ejpam-5845	438	18	)	)	PUNCT
ejpam-5845	438	19	=	=	SYM
ejpam-5845	439	1	1(⟨m⟩,é	1(⟨m⟩,é	NUM
ejpam-5845	439	2	)	)	PUNCT
ejpam-5845	439	3	,	,	PUNCT
ejpam-5845	439	4	(	(	PUNCT
ejpam-5845	439	5	iii	iii	X
ejpam-5845	439	6	)	)	PUNCT
ejpam-5845	439	7	if	if	SCONJ
ejpam-5845	439	8	(	(	PUNCT
ejpam-5845	439	9	υ̃	υ̃	PROPN
ejpam-5845	439	10	,	,	PUNCT
ejpam-5845	439	11	é	é	PROPN
ejpam-5845	439	12	)	)	PUNCT
ejpam-5845	440	1	⊆	⊆	NUM
ejpam-5845	440	2	(	(	PUNCT
ejpam-5845	440	3	ξ̃	ξ̃	PROPN
ejpam-5845	440	4	,	,	PUNCT
ejpam-5845	440	5	é	é	PROPN
ejpam-5845	440	6	)	)	PUNCT
ejpam-5845	440	7	,	,	PUNCT
ejpam-5845	440	8	then	then	ADV
ejpam-5845	440	9	(	(	PUNCT
ejpam-5845	440	10	υ̃	υ̃	PROPN
ejpam-5845	440	11	,	,	PUNCT
ejpam-5845	440	12	é	é	PROPN
ejpam-5845	440	13	)	)	PUNCT
ejpam-5845	440	14	⊆	⊆	NUM
ejpam-5845	440	15	(	(	PUNCT
ejpam-5845	440	16	ξ̃	ξ̃	PROPN
ejpam-5845	440	17	,	,	PUNCT
ejpam-5845	440	18	é	é	PROPN
ejpam-5845	440	19	)	)	PUNCT
ejpam-5845	440	20	,	,	PUNCT
ejpam-5845	440	21	(	(	PUNCT
ejpam-5845	440	22	iv	iv	X
ejpam-5845	440	23	)	)	PUNCT
ejpam-5845	440	24	(	(	PUNCT
ejpam-5845	440	25	υ̃	υ̃	PROPN
ejpam-5845	440	26	,	,	PUNCT
ejpam-5845	440	27	é	é	PROPN
ejpam-5845	440	28	)	)	PUNCT
ejpam-5845	440	29	⋓	⋓	NOUN
ejpam-5845	440	30	(	(	PUNCT
ejpam-5845	440	31	ξ̃	ξ̃	PROPN
ejpam-5845	440	32	,	,	PUNCT
ejpam-5845	440	33	é	é	PROPN
ejpam-5845	440	34	)	)	PUNCT
ejpam-5845	440	35	=	=	PUNCT
ejpam-5845	440	36	(	(	PUNCT
ejpam-5845	440	37	υ̃	υ̃	PROPN
ejpam-5845	440	38	,	,	PUNCT
ejpam-5845	440	39	é	é	PROPN
ejpam-5845	440	40	)	)	PUNCT
ejpam-5845	440	41	⋓	⋓	NOUN
ejpam-5845	440	42	(	(	PUNCT
ejpam-5845	440	43	ξ̃	ξ̃	PROPN
ejpam-5845	440	44	,	,	PUNCT
ejpam-5845	440	45	é	é	PROPN
ejpam-5845	440	46	)	)	PUNCT
ejpam-5845	440	47	,	,	PUNCT
ejpam-5845	440	48	(	(	PUNCT
ejpam-5845	440	49	v	v	NOUN
ejpam-5845	440	50	)	)	PUNCT
ejpam-5845	440	51	(	(	PUNCT
ejpam-5845	440	52	υ̃	υ̃	PROPN
ejpam-5845	440	53	,	,	PUNCT
ejpam-5845	440	54	é	é	PROPN
ejpam-5845	440	55	)	)	PUNCT
ejpam-5845	440	56	⋒	⋒	X
ejpam-5845	440	57	(	(	PUNCT
ejpam-5845	440	58	ξ̃	ξ̃	PROPN
ejpam-5845	440	59	,	,	PUNCT
ejpam-5845	440	60	é	é	PROPN
ejpam-5845	440	61	)	)	PUNCT
ejpam-5845	440	62	⊆	⊆	NUM
ejpam-5845	440	63	(	(	PUNCT
ejpam-5845	440	64	υ̃	υ̃	PROPN
ejpam-5845	440	65	,	,	PUNCT
ejpam-5845	440	66	é	é	PROPN
ejpam-5845	440	67	)	)	PUNCT
ejpam-5845	440	68	⋒	⋒	X
ejpam-5845	440	69	(	(	PUNCT
ejpam-5845	440	70	ξ̃	ξ̃	PROPN
ejpam-5845	440	71	,	,	PUNCT
ejpam-5845	440	72	é	é	PROPN
ejpam-5845	440	73	)	)	PUNCT
ejpam-5845	440	74	.	.	PUNCT
ejpam-5845	441	1	proof	proof	NOUN
ejpam-5845	441	2	.	.	PUNCT
ejpam-5845	442	1	(	(	PUNCT
ejpam-5845	442	2	i	i	NOUN
ejpam-5845	442	3	)	)	PUNCT
ejpam-5845	442	4	if	if	SCONJ
ejpam-5845	442	5	(	(	PUNCT
ejpam-5845	442	6	υ̃	υ̃	PROPN
ejpam-5845	442	7	,	,	PUNCT
ejpam-5845	442	8	é	é	PROPN
ejpam-5845	442	9	)	)	PUNCT
ejpam-5845	442	10	=	=	PUNCT
ejpam-5845	442	11	(	(	PUNCT
ejpam-5845	442	12	ξ̃	ξ̃	PROPN
ejpam-5845	442	13	,	,	PUNCT
ejpam-5845	442	14	é	é	PROPN
ejpam-5845	442	15	)	)	PUNCT
ejpam-5845	442	16	,	,	PUNCT
ejpam-5845	442	17	then	then	ADV
ejpam-5845	442	18	(	(	PUNCT
ejpam-5845	442	19	ξ̃	ξ̃	PROPN
ejpam-5845	442	20	,	,	PUNCT
ejpam-5845	442	21	é	é	PROPN
ejpam-5845	442	22	)	)	PUNCT
ejpam-5845	442	23	is	be	AUX
ejpam-5845	442	24	a	a	DET
ejpam-5845	442	25	qpns	qpns	NOUN
ejpam-5845	442	26	p	p	NOUN
ejpam-5845	442	27	-	-	PUNCT
ejpam-5845	442	28	closed	close	VERB
ejpam-5845	442	29	set	set	NOUN
ejpam-5845	442	30	.	.	PUNCT
ejpam-5845	443	1	hence	hence	ADV
ejpam-5845	443	2	,	,	PUNCT
ejpam-5845	443	3	if	if	SCONJ
ejpam-5845	443	4	(	(	PUNCT
ejpam-5845	443	5	ξ̃	ξ̃	PROPN
ejpam-5845	443	6	,	,	PUNCT
ejpam-5845	443	7	é	é	PROPN
ejpam-5845	443	8	)	)	PUNCT
ejpam-5845	443	9	and	and	CCONJ
ejpam-5845	443	10	its	its	PRON
ejpam-5845	443	11	closure	closure	NOUN
ejpam-5845	443	12	are	be	AUX
ejpam-5845	443	13	equal	equal	ADJ
ejpam-5845	443	14	,	,	PUNCT
ejpam-5845	443	15	then	then	ADV
ejpam-5845	443	16	(	(	PUNCT
ejpam-5845	443	17	υ̃	υ̃	PROPN
ejpam-5845	443	18	,	,	PUNCT
ejpam-5845	443	19	é	é	PROPN
ejpam-5845	443	20	)	)	PUNCT
ejpam-5845	443	21	=	=	PUNCT
ejpam-5845	443	22	(	(	PUNCT
ejpam-5845	443	23	υ̃	υ̃	PROPN
ejpam-5845	443	24	,	,	PUNCT
ejpam-5845	443	25	é	é	PROPN
ejpam-5845	443	26	)	)	PUNCT
ejpam-5845	443	27	.	.	PUNCT
ejpam-5845	444	1	(	(	PUNCT
ejpam-5845	444	2	ii	ii	NOUN
ejpam-5845	444	3	)	)	PUNCT
ejpam-5845	444	4	since	since	SCONJ
ejpam-5845	444	5	0(⟨m⟩,é	0(⟨m⟩,é	NUM
ejpam-5845	444	6	)	)	PUNCT
ejpam-5845	444	7	and	and	CCONJ
ejpam-5845	444	8	1(⟨m⟩,é	1(⟨m⟩,é	NUM
ejpam-5845	444	9	)	)	PUNCT
ejpam-5845	444	10	are	be	AUX
ejpam-5845	444	11	always	always	ADV
ejpam-5845	444	12	qpns	qpns	NOUN
ejpam-5845	444	13	p	p	ADJ
ejpam-5845	444	14	-	-	PUNCT
ejpam-5845	444	15	closed	close	VERB
ejpam-5845	444	16	sets	set	NOUN
ejpam-5845	444	17	,	,	PUNCT
ejpam-5845	444	18	it	it	PRON
ejpam-5845	444	19	follows	follow	VERB
ejpam-5845	444	20	that	that	PRON
ejpam-5845	444	21	0(⟨m⟩,é	0(⟨m⟩,é	PUNCT
ejpam-5845	444	22	)	)	PUNCT
ejpam-5845	444	23	=	=	SYM
ejpam-5845	444	24	0(⟨m⟩,é	0(⟨m⟩,é	NUM
ejpam-5845	444	25	)	)	PUNCT
ejpam-5845	444	26	and	and	CCONJ
ejpam-5845	444	27	1(⟨m⟩,é	1(⟨m⟩,é	NUM
ejpam-5845	444	28	)	)	PUNCT
ejpam-5845	444	29	=	=	SYM
ejpam-5845	444	30	1(⟨m⟩,é	1(⟨m⟩,é	NUM
ejpam-5845	444	31	)	)	PUNCT
ejpam-5845	444	32	.	.	PUNCT
ejpam-5845	445	1	(	(	PUNCT
ejpam-5845	445	2	iii	iii	NOUN
ejpam-5845	445	3	)	)	PUNCT
ejpam-5845	445	4	given	give	VERB
ejpam-5845	445	5	(	(	PUNCT
ejpam-5845	445	6	υ̃	υ̃	PROPN
ejpam-5845	445	7	,	,	PUNCT
ejpam-5845	445	8	é	é	PROPN
ejpam-5845	445	9	)	)	PUNCT
ejpam-5845	445	10	⊆	⊆	NUM
ejpam-5845	445	11	(	(	PUNCT
ejpam-5845	445	12	υ̃	υ̃	PROPN
ejpam-5845	445	13	,	,	PUNCT
ejpam-5845	445	14	é	é	PROPN
ejpam-5845	445	15	)	)	PUNCT
ejpam-5845	445	16	and	and	CCONJ
ejpam-5845	445	17	(	(	PUNCT
ejpam-5845	445	18	ξ̃	ξ̃	PROPN
ejpam-5845	445	19	,	,	PUNCT
ejpam-5845	445	20	é	é	PROPN
ejpam-5845	445	21	)	)	PUNCT
ejpam-5845	445	22	⊆	⊆	NUM
ejpam-5845	445	23	(	(	PUNCT
ejpam-5845	445	24	ξ̃	ξ̃	PROPN
ejpam-5845	445	25	,	,	PUNCT
ejpam-5845	445	26	é	é	PROPN
ejpam-5845	445	27	)	)	PUNCT
ejpam-5845	445	28	,	,	PUNCT
ejpam-5845	445	29	we	we	PRON
ejpam-5845	445	30	obtain	obtain	VERB
ejpam-5845	445	31	(	(	PUNCT
ejpam-5845	445	32	υ̃	υ̃	PROPN
ejpam-5845	445	33	,	,	PUNCT
ejpam-5845	445	34	é	é	PROPN
ejpam-5845	445	35	)	)	PUNCT
ejpam-5845	445	36	⊆	⊆	NUM
ejpam-5845	445	37	(	(	PUNCT
ejpam-5845	445	38	ξ̃	ξ̃	PROPN
ejpam-5845	445	39	,	,	PUNCT
ejpam-5845	445	40	é	é	PROPN
ejpam-5845	445	41	)	)	PUNCT
ejpam-5845	445	42	⊆	⊆	NUM
ejpam-5845	445	43	(	(	PUNCT
ejpam-5845	445	44	ξ̃	ξ̃	PROPN
ejpam-5845	445	45	,	,	PUNCT
ejpam-5845	445	46	é	é	PROPN
ejpam-5845	445	47	)	)	PUNCT
ejpam-5845	445	48	.	.	PUNCT
ejpam-5845	446	1	since	since	SCONJ
ejpam-5845	446	2	(	(	PUNCT
ejpam-5845	446	3	υ̃	υ̃	PROPN
ejpam-5845	446	4	,	,	PUNCT
ejpam-5845	446	5	é	é	PROPN
ejpam-5845	446	6	)	)	PUNCT
ejpam-5845	446	7	is	be	AUX
ejpam-5845	446	8	the	the	DET
ejpam-5845	446	9	smallest	small	ADJ
ejpam-5845	446	10	qpns	qpns	NOUN
ejpam-5845	446	11	p	p	NOUN
ejpam-5845	446	12	-	-	PUNCT
ejpam-5845	446	13	closed	close	VERB
ejpam-5845	446	14	set	set	NOUN
ejpam-5845	446	15	covering	covering	NOUN
ejpam-5845	446	16	(	(	PUNCT
ejpam-5845	446	17	υ̃	υ̃	PROPN
ejpam-5845	446	18	,	,	PUNCT
ejpam-5845	446	19	é	é	PROPN
ejpam-5845	446	20	)	)	PUNCT
ejpam-5845	446	21	,	,	PUNCT
ejpam-5845	446	22	it	it	PRON
ejpam-5845	446	23	follows	follow	VERB
ejpam-5845	446	24	that	that	SCONJ
ejpam-5845	446	25	(	(	PUNCT
ejpam-5845	446	26	υ̃	υ̃	PROPN
ejpam-5845	446	27	,	,	PUNCT
ejpam-5845	446	28	é	é	PROPN
ejpam-5845	446	29	)	)	PUNCT
ejpam-5845	446	30	⊆	⊆	NUM
ejpam-5845	446	31	(	(	PUNCT
ejpam-5845	446	32	ξ̃	ξ̃	PROPN
ejpam-5845	446	33	,	,	PUNCT
ejpam-5845	446	34	é	é	PROPN
ejpam-5845	446	35	)	)	PUNCT
ejpam-5845	446	36	.	.	PUNCT
ejpam-5845	447	1	(	(	PUNCT
ejpam-5845	447	2	iv	iv	X
ejpam-5845	447	3	)	)	PUNCT
ejpam-5845	447	4	since	since	SCONJ
ejpam-5845	447	5	(	(	PUNCT
ejpam-5845	447	6	υ̃	υ̃	PROPN
ejpam-5845	447	7	,	,	PUNCT
ejpam-5845	447	8	é	é	PROPN
ejpam-5845	447	9	)	)	PUNCT
ejpam-5845	447	10	⊆	⊆	NUM
ejpam-5845	447	11	(	(	PUNCT
ejpam-5845	447	12	υ̃	υ̃	PROPN
ejpam-5845	447	13	,	,	PUNCT
ejpam-5845	447	14	é	é	PROPN
ejpam-5845	447	15	)	)	PUNCT
ejpam-5845	447	16	⋓	⋓	NOUN
ejpam-5845	447	17	(	(	PUNCT
ejpam-5845	447	18	ξ̃	ξ̃	PROPN
ejpam-5845	447	19	,	,	PUNCT
ejpam-5845	447	20	é	é	PROPN
ejpam-5845	447	21	)	)	PUNCT
ejpam-5845	447	22	and	and	CCONJ
ejpam-5845	447	23	(	(	PUNCT
ejpam-5845	447	24	ξ̃	ξ̃	PROPN
ejpam-5845	447	25	,	,	PUNCT
ejpam-5845	447	26	é	é	PROPN
ejpam-5845	447	27	)	)	PUNCT
ejpam-5845	447	28	⊆	⊆	NUM
ejpam-5845	447	29	0(⟨m⟩,é	0(⟨m⟩,é	NUM
ejpam-5845	447	30	)	)	PUNCT
ejpam-5845	447	31	⋓	⋓	NOUN
ejpam-5845	447	32	(	(	PUNCT
ejpam-5845	447	33	ξ̃	ξ̃	PROPN
ejpam-5845	447	34	,	,	PUNCT
ejpam-5845	447	35	é	é	PROPN
ejpam-5845	447	36	)	)	PUNCT
ejpam-5845	447	37	,	,	PUNCT
ejpam-5845	447	38	we	we	PRON
ejpam-5845	447	39	obtain	obtain	VERB
ejpam-5845	447	40	(	(	PUNCT
ejpam-5845	447	41	υ̃	υ̃	PROPN
ejpam-5845	447	42	,	,	PUNCT
ejpam-5845	447	43	é	é	PROPN
ejpam-5845	447	44	)	)	PUNCT
ejpam-5845	448	1	⊆	⊆	NUM
ejpam-5845	448	2	(	(	PUNCT
ejpam-5845	448	3	υ̃	υ̃	PROPN
ejpam-5845	448	4	,	,	PUNCT
ejpam-5845	448	5	é	é	PROPN
ejpam-5845	448	6	)	)	PUNCT
ejpam-5845	448	7	⋓	⋓	NOUN
ejpam-5845	448	8	(	(	PUNCT
ejpam-5845	448	9	ξ̃	ξ̃	PROPN
ejpam-5845	448	10	,	,	PUNCT
ejpam-5845	448	11	é	é	PROPN
ejpam-5845	448	12	)	)	PUNCT
ejpam-5845	448	13	and	and	CCONJ
ejpam-5845	448	14	(	(	PUNCT
ejpam-5845	448	15	ξ̃	ξ̃	PROPN
ejpam-5845	448	16	,	,	PUNCT
ejpam-5845	448	17	é	é	PROPN
ejpam-5845	448	18	)	)	PUNCT
ejpam-5845	448	19	⊆	⊆	NUM
ejpam-5845	448	20	(	(	PUNCT
ejpam-5845	448	21	υ̃	υ̃	PROPN
ejpam-5845	448	22	,	,	PUNCT
ejpam-5845	448	23	é	é	PROPN
ejpam-5845	448	24	)	)	PUNCT
ejpam-5845	448	25	⋓	⋓	NOUN
ejpam-5845	448	26	(	(	PUNCT
ejpam-5845	448	27	ξ̃	ξ̃	PROPN
ejpam-5845	448	28	,	,	PUNCT
ejpam-5845	448	29	é	é	PROPN
ejpam-5845	448	30	)	)	PUNCT
ejpam-5845	448	31	.	.	PUNCT
ejpam-5845	449	1	thus	thus	ADV
ejpam-5845	449	2	,	,	PUNCT
ejpam-5845	449	3	(	(	PUNCT
ejpam-5845	449	4	υ̃	υ̃	PROPN
ejpam-5845	449	5	,	,	PUNCT
ejpam-5845	449	6	é	é	PROPN
ejpam-5845	449	7	)	)	PUNCT
ejpam-5845	449	8	⋓	⋓	NOUN
ejpam-5845	449	9	(	(	PUNCT
ejpam-5845	449	10	ξ̃	ξ̃	PROPN
ejpam-5845	449	11	,	,	PUNCT
ejpam-5845	449	12	é	é	PROPN
ejpam-5845	449	13	)	)	PUNCT
ejpam-5845	449	14	⊆	⊆	NUM
ejpam-5845	449	15	(	(	PUNCT
ejpam-5845	449	16	υ̃	υ̃	PROPN
ejpam-5845	449	17	,	,	PUNCT
ejpam-5845	449	18	é	é	PROPN
ejpam-5845	449	19	)	)	PUNCT
ejpam-5845	449	20	⋓	⋓	NOUN
ejpam-5845	449	21	(	(	PUNCT
ejpam-5845	449	22	ξ̃	ξ̃	PROPN
ejpam-5845	449	23	,	,	PUNCT
ejpam-5845	449	24	é	é	PROPN
ejpam-5845	449	25	)	)	PUNCT
ejpam-5845	449	26	.	.	PUNCT
ejpam-5845	450	1	conversely	conversely	ADV
ejpam-5845	450	2	,	,	PUNCT
ejpam-5845	450	3	since	since	SCONJ
ejpam-5845	450	4	(	(	PUNCT
ejpam-5845	450	5	υ̃	υ̃	PROPN
ejpam-5845	450	6	,	,	PUNCT
ejpam-5845	450	7	é	é	PROPN
ejpam-5845	450	8	)	)	PUNCT
ejpam-5845	450	9	⊆	⊆	NUM
ejpam-5845	450	10	(	(	PUNCT
ejpam-5845	450	11	υ̃	υ̃	PROPN
ejpam-5845	450	12	,	,	PUNCT
ejpam-5845	450	13	é	é	PROPN
ejpam-5845	450	14	)	)	PUNCT
ejpam-5845	450	15	and	and	CCONJ
ejpam-5845	450	16	(	(	PUNCT
ejpam-5845	450	17	ξ̃	ξ̃	PROPN
ejpam-5845	450	18	,	,	PUNCT
ejpam-5845	450	19	é	é	PROPN
ejpam-5845	450	20	)	)	PUNCT
ejpam-5845	450	21	⊆	⊆	NUM
ejpam-5845	450	22	(	(	PUNCT
ejpam-5845	450	23	ξ̃	ξ̃	PROPN
ejpam-5845	450	24	,	,	PUNCT
ejpam-5845	450	25	é	é	PROPN
ejpam-5845	450	26	)	)	PUNCT
ejpam-5845	450	27	,	,	PUNCT
ejpam-5845	450	28	we	we	PRON
ejpam-5845	450	29	conclude	conclude	VERB
ejpam-5845	450	30	that	that	PRON
ejpam-5845	450	31	(	(	PUNCT
ejpam-5845	450	32	υ̃	υ̃	PROPN
ejpam-5845	450	33	,	,	PUNCT
ejpam-5845	450	34	é	é	PROPN
ejpam-5845	450	35	)	)	PUNCT
ejpam-5845	450	36	⋓	⋓	NOUN
ejpam-5845	450	37	(	(	PUNCT
ejpam-5845	450	38	ξ̃	ξ̃	PROPN
ejpam-5845	450	39	,	,	PUNCT
ejpam-5845	450	40	é	é	PROPN
ejpam-5845	450	41	)	)	PUNCT
ejpam-5845	450	42	⊆	⊆	NUM
ejpam-5845	450	43	(	(	PUNCT
ejpam-5845	450	44	υ̃	υ̃	PROPN
ejpam-5845	450	45	,	,	PUNCT
ejpam-5845	450	46	é	é	PROPN
ejpam-5845	450	47	)	)	PUNCT
ejpam-5845	450	48	⋓	⋓	NOUN
ejpam-5845	450	49	(	(	PUNCT
ejpam-5845	450	50	ξ̃	ξ̃	PROPN
ejpam-5845	450	51	,	,	PUNCT
ejpam-5845	450	52	é	é	PROPN
ejpam-5845	450	53	)	)	PUNCT
ejpam-5845	450	54	.	.	PUNCT
ejpam-5845	451	1	since	since	SCONJ
ejpam-5845	451	2	(	(	PUNCT
ejpam-5845	451	3	υ̃	υ̃	PROPN
ejpam-5845	451	4	,	,	PUNCT
ejpam-5845	451	5	é	é	PROPN
ejpam-5845	451	6	)	)	PUNCT
ejpam-5845	451	7	⋓	⋓	NOUN
ejpam-5845	451	8	(	(	PUNCT
ejpam-5845	451	9	ξ̃	ξ̃	PROPN
ejpam-5845	451	10	,	,	PUNCT
ejpam-5845	451	11	é	é	PROPN
ejpam-5845	451	12	)	)	PUNCT
ejpam-5845	451	13	is	be	AUX
ejpam-5845	451	14	the	the	DET
ejpam-5845	451	15	smallest	small	ADJ
ejpam-5845	451	16	qpns	qpns	NOUN
ejpam-5845	451	17	p	p	NOUN
ejpam-5845	451	18	-	-	PUNCT
ejpam-5845	451	19	closed	close	VERB
ejpam-5845	451	20	set	set	NOUN
ejpam-5845	451	21	enclosing	enclosing	NOUN
ejpam-5845	451	22	(	(	PUNCT
ejpam-5845	451	23	υ̃	υ̃	PROPN
ejpam-5845	451	24	,	,	PUNCT
ejpam-5845	451	25	é	é	PROPN
ejpam-5845	451	26	)	)	PUNCT
ejpam-5845	451	27	⋓	⋓	NOUN
ejpam-5845	451	28	(	(	PUNCT
ejpam-5845	451	29	ξ̃	ξ̃	PROPN
ejpam-5845	451	30	,	,	PUNCT
ejpam-5845	451	31	é	é	PROPN
ejpam-5845	451	32	)	)	PUNCT
ejpam-5845	451	33	,	,	PUNCT
ejpam-5845	451	34	it	it	PRON
ejpam-5845	451	35	follows	follow	VERB
ejpam-5845	451	36	that	that	SCONJ
ejpam-5845	451	37	(	(	PUNCT
ejpam-5845	451	38	υ̃	υ̃	PROPN
ejpam-5845	451	39	,	,	PUNCT
ejpam-5845	451	40	é	é	PROPN
ejpam-5845	451	41	)	)	PUNCT
ejpam-5845	451	42	⋓	⋓	NOUN
ejpam-5845	451	43	(	(	PUNCT
ejpam-5845	451	44	ξ̃	ξ̃	PROPN
ejpam-5845	451	45	,	,	PUNCT
ejpam-5845	451	46	é	é	PROPN
ejpam-5845	451	47	)	)	PUNCT
ejpam-5845	451	48	⊆	⊆	NUM
ejpam-5845	451	49	(	(	PUNCT
ejpam-5845	451	50	υ̃	υ̃	PROPN
ejpam-5845	451	51	,	,	PUNCT
ejpam-5845	451	52	é	é	PROPN
ejpam-5845	451	53	)	)	PUNCT
ejpam-5845	451	54	⋓	⋓	NOUN
ejpam-5845	451	55	(	(	PUNCT
ejpam-5845	451	56	ξ̃	ξ̃	PROPN
ejpam-5845	451	57	,	,	PUNCT
ejpam-5845	451	58	é	é	PROPN
ejpam-5845	451	59	)	)	PUNCT
ejpam-5845	451	60	.	.	PUNCT
ejpam-5845	452	1	(	(	PUNCT
ejpam-5845	452	2	v	v	NOUN
ejpam-5845	452	3	)	)	PUNCT
ejpam-5845	452	4	using	use	VERB
ejpam-5845	452	5	a	a	DET
ejpam-5845	452	6	similar	similar	ADJ
ejpam-5845	452	7	argument	argument	NOUN
ejpam-5845	452	8	,	,	PUNCT
ejpam-5845	452	9	we	we	PRON
ejpam-5845	452	10	obtain	obtain	VERB
ejpam-5845	452	11	(	(	PUNCT
ejpam-5845	452	12	υ̃	υ̃	PROPN
ejpam-5845	452	13	,	,	PUNCT
ejpam-5845	452	14	é	é	PROPN
ejpam-5845	452	15	)	)	PUNCT
ejpam-5845	452	16	⋒	⋒	X
ejpam-5845	452	17	(	(	PUNCT
ejpam-5845	452	18	ξ̃	ξ̃	PROPN
ejpam-5845	452	19	,	,	PUNCT
ejpam-5845	452	20	é	é	PROPN
ejpam-5845	452	21	)	)	PUNCT
ejpam-5845	452	22	⊆	⊆	NUM
ejpam-5845	452	23	(	(	PUNCT
ejpam-5845	452	24	υ̃	υ̃	PROPN
ejpam-5845	452	25	,	,	PUNCT
ejpam-5845	452	26	é	é	PROPN
ejpam-5845	452	27	)	)	PUNCT
ejpam-5845	452	28	⋒	⋒	X
ejpam-5845	452	29	(	(	PUNCT
ejpam-5845	452	30	ξ̃	ξ̃	PROPN
ejpam-5845	452	31	,	,	PUNCT
ejpam-5845	452	32	é	é	PROPN
ejpam-5845	452	33	)	)	PUNCT
ejpam-5845	452	34	.	.	PUNCT
ejpam-5845	453	1	theorem	theorem	VERB
ejpam-5845	453	2	9	9	NUM
ejpam-5845	453	3	.	.	PUNCT
ejpam-5845	454	1	let	let	AUX
ejpam-5845	454	2	(	(	PUNCT
ejpam-5845	454	3	m	m	NOUN
ejpam-5845	454	4	,	,	PUNCT
ejpam-5845	454	5	τ1	τ1	NOUN
ejpam-5845	454	6	,	,	PUNCT
ejpam-5845	454	7	τ2	τ2	PROPN
ejpam-5845	454	8	,	,	PUNCT
ejpam-5845	454	9	é	é	PROPN
ejpam-5845	454	10	)	)	PUNCT
ejpam-5845	454	11	be	be	VERB
ejpam-5845	454	12	a	a	DET
ejpam-5845	454	13	quadri	quadri	NOUN
ejpam-5845	454	14	-	-	PUNCT
ejpam-5845	454	15	partitioned	partition	VERB
ejpam-5845	454	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	454	17	soft	soft	ADJ
ejpam-5845	454	18	bi	bi	ADJ
ejpam-5845	454	19	-	-	ADJ
ejpam-5845	454	20	topological	topological	ADJ
ejpam-5845	454	21	space	space	NOUN
ejpam-5845	454	22	over	over	ADP
ejpam-5845	454	23	m	m	PROPN
ejpam-5845	454	24	,	,	PUNCT
ejpam-5845	454	25	and	and	CCONJ
ejpam-5845	454	26	let	let	VERB
ejpam-5845	454	27	(	(	PUNCT
ejpam-5845	454	28	υ̃	υ̃	PROPN
ejpam-5845	454	29	,	,	PUNCT
ejpam-5845	454	30	é	é	PROPN
ejpam-5845	454	31	)	)	PUNCT
ejpam-5845	454	32	be	be	AUX
ejpam-5845	454	33	a	a	DET
ejpam-5845	454	34	qpnss	qpnss	NOUN
ejpam-5845	454	35	.	.	PUNCT
ejpam-5845	455	1	then	then	ADV
ejpam-5845	455	2	,	,	PUNCT
ejpam-5845	455	3	the	the	DET
ejpam-5845	455	4	following	follow	VERB
ejpam-5845	455	5	hold	hold	NOUN
ejpam-5845	455	6	:	:	PUNCT
ejpam-5845	455	7	(	(	PUNCT
ejpam-5845	455	8	i	i	NOUN
ejpam-5845	455	9	)	)	PUNCT
ejpam-5845	456	1	[	[	X
ejpam-5845	456	2	(	(	PUNCT
ejpam-5845	456	3	υ̃	υ̃	PROPN
ejpam-5845	456	4	,	,	PUNCT
ejpam-5845	456	5	é)]c	é)]c	NOUN
ejpam-5845	456	6	=	=	SYM
ejpam-5845	457	1	[	[	X
ejpam-5845	457	2	(	(	PUNCT
ejpam-5845	457	3	υ̃	υ̃	PROPN
ejpam-5845	457	4	,	,	PUNCT
ejpam-5845	457	5	é)c	é)c	NOUN
ejpam-5845	457	6	]	]	X
ejpam-5845	457	7	◦	◦	NOUN
ejpam-5845	457	8	,	,	PUNCT
ejpam-5845	457	9	(	(	PUNCT
ejpam-5845	457	10	ii	ii	NOUN
ejpam-5845	457	11	)	)	PUNCT
ejpam-5845	458	1	[	[	X
ejpam-5845	458	2	(	(	PUNCT
ejpam-5845	458	3	υ̃	υ̃	PROPN
ejpam-5845	458	4	,	,	PUNCT
ejpam-5845	458	5	é)	é)	X
ejpam-5845	458	6	◦	◦	NOUN
ejpam-5845	458	7	]c	]c	X
ejpam-5845	458	8	=	=	SYM
ejpam-5845	459	1	[	[	X
ejpam-5845	459	2	(	(	PUNCT
ejpam-5845	459	3	υ̃	υ̃	PROPN
ejpam-5845	459	4	,	,	PUNCT
ejpam-5845	459	5	é)c	é)c	NOUN
ejpam-5845	459	6	]	]	PUNCT
ejpam-5845	459	7	.	.	PUNCT
ejpam-5845	460	1	proof	proof	NOUN
ejpam-5845	460	2	.	.	PUNCT
ejpam-5845	461	1	(	(	PUNCT
ejpam-5845	461	2	i	i	NOUN
ejpam-5845	461	3	)	)	PUNCT
ejpam-5845	461	4	(	(	PUNCT
ejpam-5845	461	5	υ̃	υ̃	PROPN
ejpam-5845	461	6	,	,	PUNCT
ejpam-5845	461	7	é	é	PROPN
ejpam-5845	461	8	)	)	PUNCT
ejpam-5845	461	9	=	=	PUNCT
ejpam-5845	461	10	⋒{(h̃	⋒{(h̃	ADJ
ejpam-5845	461	11	,	,	PUNCT
ejpam-5845	461	12	é	é	PROPN
ejpam-5845	461	13	)	)	PUNCT
ejpam-5845	461	14	∈	∈	PROPN
ejpam-5845	461	15	(	(	PUNCT
ejpam-5845	461	16	m	m	PROPN
ejpam-5845	461	17	,	,	PUNCT
ejpam-5845	461	18	τ1	τ1	NOUN
ejpam-5845	461	19	,	,	PUNCT
ejpam-5845	461	20	τ2	τ2	PROPN
ejpam-5845	461	21	,	,	PUNCT
ejpam-5845	461	22	é)c	é)c	ADP
ejpam-5845	461	23	:	:	PUNCT
ejpam-5845	461	24	(	(	PUNCT
ejpam-5845	461	25	h̃	h̃	PROPN
ejpam-5845	461	26	,	,	PUNCT
ejpam-5845	461	27	é	é	PROPN
ejpam-5845	461	28	)	)	PUNCT
ejpam-5845	461	29	⊇	⊇	NOUN
ejpam-5845	461	30	(	(	PUNCT
ejpam-5845	461	31	υ̃	υ̃	PROPN
ejpam-5845	461	32	,	,	PUNCT
ejpam-5845	461	33	é	é	PROPN
ejpam-5845	461	34	)	)	PUNCT
ejpam-5845	461	35	}	}	PUNCT
ejpam-5845	461	36	⇒	⇒	VERB
ejpam-5845	461	37	[	[	X
ejpam-5845	461	38	(	(	PUNCT
ejpam-5845	461	39	υ̃	υ̃	PROPN
ejpam-5845	461	40	,	,	PUNCT
ejpam-5845	461	41	é)]c	é)]c	NOUN
ejpam-5845	461	42	=	=	PUNCT
ejpam-5845	461	43	[	[	PUNCT
ejpam-5845	461	44	⋒{(h̃	⋒{(h̃	ADJ
ejpam-5845	461	45	,	,	PUNCT
ejpam-5845	461	46	é	é	PROPN
ejpam-5845	461	47	)	)	PUNCT
ejpam-5845	461	48	∈	∈	PROPN
ejpam-5845	461	49	(	(	PUNCT
ejpam-5845	461	50	m	m	PROPN
ejpam-5845	461	51	,	,	PUNCT
ejpam-5845	461	52	τ1	τ1	NOUN
ejpam-5845	461	53	,	,	PUNCT
ejpam-5845	461	54	τ2	τ2	PROPN
ejpam-5845	461	55	,	,	PUNCT
ejpam-5845	461	56	é)c	é)c	ADP
ejpam-5845	461	57	:	:	PUNCT
ejpam-5845	461	58	(	(	PUNCT
ejpam-5845	461	59	h̃	h̃	PROPN
ejpam-5845	461	60	,	,	PUNCT
ejpam-5845	461	61	é	é	PROPN
ejpam-5845	461	62	)	)	PUNCT
ejpam-5845	461	63	⊇	⊇	NOUN
ejpam-5845	461	64	(	(	PUNCT
ejpam-5845	461	65	υ̃	υ̃	PROPN
ejpam-5845	461	66	,	,	PUNCT
ejpam-5845	461	67	é	é	PROPN
ejpam-5845	461	68	)	)	PUNCT
ejpam-5845	461	69	}	}	PUNCT
ejpam-5845	461	70	]	]	PUNCT
ejpam-5845	461	71	c	c	X
ejpam-5845	461	72	=	=	SYM
ejpam-5845	461	73	⋓{(h̃	⋓{(h̃	PROPN
ejpam-5845	461	74	,	,	PUNCT
ejpam-5845	461	75	é)c	é)c	ADP
ejpam-5845	461	76	∈	∈	PROPN
ejpam-5845	461	77	(	(	PUNCT
ejpam-5845	461	78	m	m	PROPN
ejpam-5845	461	79	,	,	PUNCT
ejpam-5845	461	80	τ1	τ1	NOUN
ejpam-5845	461	81	,	,	PUNCT
ejpam-5845	461	82	τ2	τ2	PROPN
ejpam-5845	461	83	,	,	PUNCT
ejpam-5845	461	84	é	é	PROPN
ejpam-5845	461	85	)	)	PUNCT
ejpam-5845	461	86	:	:	PUNCT
ejpam-5845	461	87	(	(	PUNCT
ejpam-5845	461	88	h̃	h̃	PROPN
ejpam-5845	461	89	,	,	PUNCT
ejpam-5845	461	90	é)c	é)c	ADP
ejpam-5845	461	91	⊆	⊆	NUM
ejpam-5845	461	92	(	(	PUNCT
ejpam-5845	461	93	υ̃	υ̃	PROPN
ejpam-5845	461	94	,	,	PUNCT
ejpam-5845	461	95	é)c	é)c	VERB
ejpam-5845	461	96	}	}	PUNCT
ejpam-5845	461	97	=	=	SYM
ejpam-5845	462	1	[	[	X
ejpam-5845	462	2	(	(	PUNCT
ejpam-5845	462	3	υ̃	υ̃	PROPN
ejpam-5845	462	4	,	,	PUNCT
ejpam-5845	462	5	é)c]	é)c]	PROPN
ejpam-5845	462	6	◦	◦	NOUN
ejpam-5845	462	7	.	.	PUNCT
ejpam-5845	462	8	m.	m.	NOUN
ejpam-5845	462	9	m.	m.	PROPN
ejpam-5845	462	10	saeed	saeed	PROPN
ejpam-5845	462	11	et	et	PROPN
ejpam-5845	462	12	al	al	PROPN
ejpam-5845	462	13	.	.	PUNCT
ejpam-5845	462	14	/	/	SYM
ejpam-5845	462	15	eur	eur	PROPN
ejpam-5845	462	16	.	.	PUNCT
ejpam-5845	463	1	j.	j.	PROPN
ejpam-5845	463	2	pure	pure	PROPN
ejpam-5845	463	3	appl	appl	PROPN
ejpam-5845	463	4	.	.	PROPN
ejpam-5845	463	5	math	math	PROPN
ejpam-5845	463	6	,	,	PUNCT
ejpam-5845	463	7	18	18	NUM
ejpam-5845	463	8	(	(	PUNCT
ejpam-5845	463	9	2	2	NUM
ejpam-5845	463	10	)	)	PUNCT
ejpam-5845	463	11	(	(	PUNCT
ejpam-5845	463	12	2025	2025	NUM
ejpam-5845	463	13	)	)	PUNCT
ejpam-5845	463	14	,	,	PUNCT
ejpam-5845	463	15	5845	5845	NUM
ejpam-5845	463	16	19	19	NUM
ejpam-5845	463	17	of	of	ADP
ejpam-5845	463	18	32	32	NUM
ejpam-5845	463	19	(	(	PUNCT
ejpam-5845	463	20	ii	ii	NOUN
ejpam-5845	463	21	)	)	PUNCT
ejpam-5845	463	22	(	(	PUNCT
ejpam-5845	463	23	υ̃	υ̃	PROPN
ejpam-5845	463	24	,	,	PUNCT
ejpam-5845	463	25	é	é	PROPN
ejpam-5845	463	26	)	)	PUNCT
ejpam-5845	463	27	◦	◦	NOUN
ejpam-5845	463	28	=	=	SYM
ejpam-5845	463	29	⋓{(h̃	⋓{(h̃	PROPN
ejpam-5845	463	30	,	,	PUNCT
ejpam-5845	463	31	é	é	PROPN
ejpam-5845	463	32	)	)	PUNCT
ejpam-5845	463	33	∈	∈	PROPN
ejpam-5845	463	34	(	(	PUNCT
ejpam-5845	463	35	m	m	PROPN
ejpam-5845	463	36	,	,	PUNCT
ejpam-5845	463	37	τ1	τ1	NOUN
ejpam-5845	463	38	,	,	PUNCT
ejpam-5845	463	39	τ2	τ2	PROPN
ejpam-5845	463	40	,	,	PUNCT
ejpam-5845	463	41	é	é	PROPN
ejpam-5845	463	42	)	)	PUNCT
ejpam-5845	463	43	:	:	PUNCT
ejpam-5845	463	44	(	(	PUNCT
ejpam-5845	463	45	h̃	h̃	PROPN
ejpam-5845	463	46	,	,	PUNCT
ejpam-5845	463	47	é	é	PROPN
ejpam-5845	463	48	)	)	PUNCT
ejpam-5845	463	49	⊆	⊆	NUM
ejpam-5845	463	50	(	(	PUNCT
ejpam-5845	463	51	υ̃	υ̃	PROPN
ejpam-5845	463	52	,	,	PUNCT
ejpam-5845	463	53	é	é	PROPN
ejpam-5845	463	54	)	)	PUNCT
ejpam-5845	463	55	}	}	PUNCT
ejpam-5845	463	56	⇒	⇒	VERB
ejpam-5845	463	57	[	[	X
ejpam-5845	463	58	(	(	PUNCT
ejpam-5845	463	59	υ̃	υ̃	PROPN
ejpam-5845	463	60	,	,	PUNCT
ejpam-5845	463	61	é)	é)	X
ejpam-5845	463	62	◦	◦	NOUN
ejpam-5845	463	63	]c	]c	X
ejpam-5845	463	64	=	=	X
ejpam-5845	464	1	[	[	PUNCT
ejpam-5845	464	2	⋒{(h̃	⋒{(h̃	ADJ
ejpam-5845	464	3	,	,	PUNCT
ejpam-5845	464	4	é	é	PROPN
ejpam-5845	464	5	)	)	PUNCT
ejpam-5845	464	6	∈	∈	PROPN
ejpam-5845	464	7	(	(	PUNCT
ejpam-5845	464	8	m	m	PROPN
ejpam-5845	464	9	,	,	PUNCT
ejpam-5845	464	10	τ1	τ1	NOUN
ejpam-5845	464	11	,	,	PUNCT
ejpam-5845	464	12	τ2	τ2	PROPN
ejpam-5845	464	13	,	,	PUNCT
ejpam-5845	464	14	é	é	PROPN
ejpam-5845	464	15	)	)	PUNCT
ejpam-5845	464	16	:	:	PUNCT
ejpam-5845	464	17	(	(	PUNCT
ejpam-5845	464	18	h̃	h̃	PROPN
ejpam-5845	464	19	,	,	PUNCT
ejpam-5845	464	20	é	é	PROPN
ejpam-5845	464	21	)	)	PUNCT
ejpam-5845	464	22	⊆	⊆	NUM
ejpam-5845	464	23	(	(	PUNCT
ejpam-5845	464	24	υ̃	υ̃	PROPN
ejpam-5845	464	25	,	,	PUNCT
ejpam-5845	464	26	é	é	PROPN
ejpam-5845	464	27	)	)	PUNCT
ejpam-5845	464	28	}	}	PUNCT
ejpam-5845	464	29	]	]	PUNCT
ejpam-5845	464	30	c	c	X
ejpam-5845	464	31	=	=	SYM
ejpam-5845	464	32	⋒{(h̃	⋒{(h̃	PROPN
ejpam-5845	464	33	,	,	PUNCT
ejpam-5845	464	34	é)c	é)c	ADP
ejpam-5845	464	35	∈	∈	PROPN
ejpam-5845	464	36	(	(	PUNCT
ejpam-5845	464	37	m	m	PROPN
ejpam-5845	464	38	,	,	PUNCT
ejpam-5845	464	39	τ1	τ1	NOUN
ejpam-5845	464	40	,	,	PUNCT
ejpam-5845	464	41	τ2	τ2	PROPN
ejpam-5845	464	42	,	,	PUNCT
ejpam-5845	464	43	é)c	é)c	ADP
ejpam-5845	464	44	:	:	PUNCT
ejpam-5845	464	45	(	(	PUNCT
ejpam-5845	464	46	h̃	h̃	PROPN
ejpam-5845	464	47	,	,	PUNCT
ejpam-5845	464	48	é)c	é)c	ADP
ejpam-5845	464	49	⊇	⊇	PROPN
ejpam-5845	464	50	(	(	PUNCT
ejpam-5845	464	51	υ̃	υ̃	PROPN
ejpam-5845	464	52	,	,	PUNCT
ejpam-5845	464	53	é)c	é)c	VERB
ejpam-5845	464	54	}	}	PUNCT
ejpam-5845	464	55	=	=	SYM
ejpam-5845	465	1	[	[	X
ejpam-5845	465	2	(	(	PUNCT
ejpam-5845	465	3	υ̃	υ̃	PROPN
ejpam-5845	465	4	,	,	PUNCT
ejpam-5845	465	5	é)c	é)c	NOUN
ejpam-5845	465	6	]	]	PUNCT
ejpam-5845	465	7	.	.	PUNCT
ejpam-5845	465	8	theorem	theorem	ADJ
ejpam-5845	465	9	10	10	NUM
ejpam-5845	465	10	.	.	PUNCT
ejpam-5845	466	1	let	let	AUX
ejpam-5845	466	2	(	(	PUNCT
ejpam-5845	466	3	m	m	NOUN
ejpam-5845	466	4	,	,	PUNCT
ejpam-5845	466	5	τ1	τ1	NOUN
ejpam-5845	466	6	,	,	PUNCT
ejpam-5845	466	7	τ2	τ2	PROPN
ejpam-5845	466	8	,	,	PUNCT
ejpam-5845	466	9	é	é	PROPN
ejpam-5845	466	10	)	)	PUNCT
ejpam-5845	466	11	be	be	VERB
ejpam-5845	466	12	a	a	DET
ejpam-5845	466	13	quadri	quadri	NOUN
ejpam-5845	466	14	-	-	PUNCT
ejpam-5845	466	15	partitioned	partition	VERB
ejpam-5845	466	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	466	17	soft	soft	ADJ
ejpam-5845	466	18	bi	bi	ADJ
ejpam-5845	466	19	-	-	ADJ
ejpam-5845	466	20	topological	topological	ADJ
ejpam-5845	466	21	space	space	NOUN
ejpam-5845	466	22	over	over	ADP
ejpam-5845	466	23	m.	m.	NOUN
ejpam-5845	466	24	if	if	SCONJ
ejpam-5845	466	25	(	(	PUNCT
ejpam-5845	466	26	υ̃	υ̃	PROPN
ejpam-5845	466	27	,	,	PUNCT
ejpam-5845	466	28	é	é	PROPN
ejpam-5845	466	29	)	)	PUNCT
ejpam-5845	466	30	and	and	CCONJ
ejpam-5845	466	31	(	(	PUNCT
ejpam-5845	466	32	h̃	h̃	PROPN
ejpam-5845	466	33	,	,	PUNCT
ejpam-5845	466	34	é	é	PROPN
ejpam-5845	466	35	)	)	PUNCT
ejpam-5845	466	36	are	be	AUX
ejpam-5845	466	37	qpns	qpns	NOUN
ejpam-5845	466	38	subsets	subset	NOUN
ejpam-5845	466	39	,	,	PUNCT
ejpam-5845	466	40	then	then	ADV
ejpam-5845	466	41	:	:	PUNCT
ejpam-5845	466	42	(	(	PUNCT
ejpam-5845	466	43	i	i	NOUN
ejpam-5845	466	44	)	)	PUNCT
ejpam-5845	466	45	ext((υ̃	ext((υ̃	PROPN
ejpam-5845	466	46	,	,	PUNCT
ejpam-5845	466	47	é	é	PROPN
ejpam-5845	466	48	)	)	PUNCT
ejpam-5845	466	49	⋓	⋓	NOUN
ejpam-5845	466	50	(	(	PUNCT
ejpam-5845	466	51	h̃	h̃	PROPN
ejpam-5845	466	52	,	,	PUNCT
ejpam-5845	466	53	é	é	PROPN
ejpam-5845	466	54	)	)	PUNCT
ejpam-5845	466	55	)	)	PUNCT
ejpam-5845	467	1	=	=	SYM
ejpam-5845	467	2	ext((υ̃	ext((υ̃	PROPN
ejpam-5845	467	3	,	,	PUNCT
ejpam-5845	467	4	é	é	PROPN
ejpam-5845	467	5	)	)	PUNCT
ejpam-5845	467	6	)	)	PUNCT
ejpam-5845	467	7	⋓	⋓	NOUN
ejpam-5845	467	8	ext((h̃	ext((h̃	PROPN
ejpam-5845	467	9	,	,	PUNCT
ejpam-5845	467	10	é	é	PROPN
ejpam-5845	467	11	)	)	PUNCT
ejpam-5845	467	12	)	)	PUNCT
ejpam-5845	467	13	.	.	PUNCT
ejpam-5845	468	1	(	(	PUNCT
ejpam-5845	468	2	ii	ii	NOUN
ejpam-5845	468	3	)	)	PUNCT
ejpam-5845	468	4	ext((υ̃	ext((υ̃	PROPN
ejpam-5845	468	5	,	,	PUNCT
ejpam-5845	468	6	é	é	PROPN
ejpam-5845	468	7	)	)	PUNCT
ejpam-5845	468	8	⋒	⋒	PUNCT
ejpam-5845	468	9	(	(	PUNCT
ejpam-5845	468	10	h̃	h̃	PROPN
ejpam-5845	468	11	,	,	PUNCT
ejpam-5845	468	12	é	é	PROPN
ejpam-5845	468	13	)	)	PUNCT
ejpam-5845	468	14	)	)	PUNCT
ejpam-5845	468	15	⊇	⊇	PROPN
ejpam-5845	468	16	ext((υ̃	ext((υ̃	PROPN
ejpam-5845	468	17	,	,	PUNCT
ejpam-5845	468	18	é	é	PROPN
ejpam-5845	468	19	)	)	PUNCT
ejpam-5845	468	20	)	)	PUNCT
ejpam-5845	468	21	⋓	⋓	NOUN
ejpam-5845	468	22	ext((h̃	ext((h̃	PROPN
ejpam-5845	468	23	,	,	PUNCT
ejpam-5845	468	24	é	é	PROPN
ejpam-5845	468	25	)	)	PUNCT
ejpam-5845	468	26	)	)	PUNCT
ejpam-5845	468	27	.	.	PUNCT
ejpam-5845	469	1	(	(	PUNCT
ejpam-5845	469	2	iii	iii	NOUN
ejpam-5845	469	3	)	)	PUNCT
ejpam-5845	469	4	fr((υ̃	fr((υ̃	ADJ
ejpam-5845	469	5	,	,	PUNCT
ejpam-5845	469	6	é	é	PROPN
ejpam-5845	469	7	)	)	PUNCT
ejpam-5845	469	8	⋓	⋓	NOUN
ejpam-5845	469	9	(	(	PUNCT
ejpam-5845	469	10	h̃	h̃	PROPN
ejpam-5845	469	11	,	,	PUNCT
ejpam-5845	469	12	é	é	PROPN
ejpam-5845	469	13	)	)	PUNCT
ejpam-5845	469	14	)	)	PUNCT
ejpam-5845	470	1	⊆	⊆	NUM
ejpam-5845	470	2	fr(υ̃	fr(υ̃	ADJ
ejpam-5845	470	3	,	,	PUNCT
ejpam-5845	470	4	é	é	PROPN
ejpam-5845	470	5	)	)	PUNCT
ejpam-5845	470	6	⋓	⋓	NOUN
ejpam-5845	470	7	fr(h̃	fr(h̃	PROPN
ejpam-5845	470	8	,	,	PUNCT
ejpam-5845	470	9	é	é	PROPN
ejpam-5845	470	10	)	)	PUNCT
ejpam-5845	470	11	.	.	PUNCT
ejpam-5845	471	1	(	(	PUNCT
ejpam-5845	471	2	iv	iv	X
ejpam-5845	471	3	)	)	PUNCT
ejpam-5845	471	4	fr((υ̃	fr((υ̃	ADJ
ejpam-5845	471	5	,	,	PUNCT
ejpam-5845	471	6	é	é	PROPN
ejpam-5845	471	7	)	)	PUNCT
ejpam-5845	471	8	⋒	⋒	PUNCT
ejpam-5845	471	9	(	(	PUNCT
ejpam-5845	471	10	h̃	h̃	PROPN
ejpam-5845	471	11	,	,	PUNCT
ejpam-5845	471	12	é	é	PROPN
ejpam-5845	471	13	)	)	PUNCT
ejpam-5845	471	14	)	)	PUNCT
ejpam-5845	472	1	⊆	⊆	NUM
ejpam-5845	472	2	fr(υ̃	fr(υ̃	ADJ
ejpam-5845	472	3	,	,	PUNCT
ejpam-5845	472	4	é	é	PROPN
ejpam-5845	472	5	)	)	PUNCT
ejpam-5845	472	6	⋓	⋓	NOUN
ejpam-5845	472	7	fr(h̃	fr(h̃	PROPN
ejpam-5845	472	8	,	,	PUNCT
ejpam-5845	472	9	é	é	PROPN
ejpam-5845	472	10	)	)	PUNCT
ejpam-5845	472	11	.	.	PUNCT
ejpam-5845	473	1	proof	proof	NOUN
ejpam-5845	473	2	.	.	PUNCT
ejpam-5845	474	1	(	(	PUNCT
ejpam-5845	474	2	i	i	NOUN
ejpam-5845	474	3	)	)	PUNCT
ejpam-5845	474	4	since	since	SCONJ
ejpam-5845	474	5	ext((υ̃	ext((υ̃	PROPN
ejpam-5845	474	6	,	,	PUNCT
ejpam-5845	474	7	é	é	PROPN
ejpam-5845	474	8	)	)	PUNCT
ejpam-5845	474	9	⋓	⋓	NOUN
ejpam-5845	474	10	(	(	PUNCT
ejpam-5845	474	11	h̃	h̃	PROPN
ejpam-5845	474	12	,	,	PUNCT
ejpam-5845	474	13	é	é	PROPN
ejpam-5845	474	14	)	)	PUNCT
ejpam-5845	474	15	)	)	PUNCT
ejpam-5845	475	1	=	=	SYM
ejpam-5845	475	2	(	(	PUNCT
ejpam-5845	475	3	(	(	PUNCT
ejpam-5845	475	4	(	(	PUNCT
ejpam-5845	475	5	υ̃	υ̃	PROPN
ejpam-5845	475	6	,	,	PUNCT
ejpam-5845	475	7	é	é	PROPN
ejpam-5845	475	8	)	)	PUNCT
ejpam-5845	475	9	⋓	⋓	NOUN
ejpam-5845	475	10	(	(	PUNCT
ejpam-5845	475	11	h̃	h̃	PROPN
ejpam-5845	475	12	,	,	PUNCT
ejpam-5845	475	13	é))c	é))c	ADJ
ejpam-5845	475	14	)	)	PUNCT
ejpam-5845	475	15	◦	◦	NOUN
ejpam-5845	475	16	=	=	SYM
ejpam-5845	475	17	(	(	PUNCT
ejpam-5845	475	18	(	(	PUNCT
ejpam-5845	475	19	υ̃	υ̃	PROPN
ejpam-5845	475	20	,	,	PUNCT
ejpam-5845	475	21	é)c	é)c	ADP
ejpam-5845	475	22	⋒	⋒	X
ejpam-5845	475	23	(	(	PUNCT
ejpam-5845	475	24	h̃	h̃	PROPN
ejpam-5845	475	25	,	,	PUNCT
ejpam-5845	475	26	é)c	é)c	NOUN
ejpam-5845	475	27	)	)	PUNCT
ejpam-5845	475	28	◦	◦	NOUN
ejpam-5845	475	29	=	=	SYM
ejpam-5845	475	30	(	(	PUNCT
ejpam-5845	475	31	(	(	PUNCT
ejpam-5845	475	32	υ̃	υ̃	PROPN
ejpam-5845	475	33	,	,	PUNCT
ejpam-5845	475	34	é)c	é)c	NOUN
ejpam-5845	475	35	)	)	PUNCT
ejpam-5845	475	36	◦	◦	NOUN
ejpam-5845	475	37	⋒	⋒	PUNCT
ejpam-5845	475	38	(	(	PUNCT
ejpam-5845	475	39	(	(	PUNCT
ejpam-5845	475	40	h̃	h̃	PROPN
ejpam-5845	475	41	,	,	PUNCT
ejpam-5845	475	42	é)c	é)c	NOUN
ejpam-5845	475	43	)	)	PUNCT
ejpam-5845	475	44	◦	◦	NOUN
ejpam-5845	475	45	=	=	SYM
ejpam-5845	475	46	ext((υ̃	ext((υ̃	PROPN
ejpam-5845	475	47	,	,	PUNCT
ejpam-5845	475	48	é	é	PROPN
ejpam-5845	475	49	)	)	PUNCT
ejpam-5845	475	50	)	)	PUNCT
ejpam-5845	475	51	⋒	⋒	PUNCT
ejpam-5845	475	52	ext((h̃	ext((h̃	PROPN
ejpam-5845	475	53	,	,	PUNCT
ejpam-5845	475	54	é	é	PROPN
ejpam-5845	475	55	)	)	PUNCT
ejpam-5845	475	56	)	)	PUNCT
ejpam-5845	475	57	.	.	PUNCT
ejpam-5845	476	1	(	(	PUNCT
ejpam-5845	476	2	ii	ii	X
ejpam-5845	476	3	)	)	PUNCT
ejpam-5845	476	4	we	we	PRON
ejpam-5845	476	5	have	have	AUX
ejpam-5845	476	6	ext((υ̃	ext((υ̃	VERB
ejpam-5845	476	7	,	,	PUNCT
ejpam-5845	476	8	é	é	PROPN
ejpam-5845	476	9	)	)	PUNCT
ejpam-5845	476	10	⋒	⋒	PUNCT
ejpam-5845	476	11	(	(	PUNCT
ejpam-5845	476	12	h̃	h̃	PROPN
ejpam-5845	476	13	,	,	PUNCT
ejpam-5845	476	14	é	é	PROPN
ejpam-5845	476	15	)	)	PUNCT
ejpam-5845	476	16	)	)	PUNCT
ejpam-5845	477	1	=	=	SYM
ejpam-5845	477	2	(	(	PUNCT
ejpam-5845	477	3	(	(	PUNCT
ejpam-5845	477	4	(	(	PUNCT
ejpam-5845	477	5	υ̃	υ̃	PROPN
ejpam-5845	477	6	,	,	PUNCT
ejpam-5845	477	7	é	é	PROPN
ejpam-5845	477	8	)	)	PUNCT
ejpam-5845	477	9	⋒	⋒	PUNCT
ejpam-5845	477	10	(	(	PUNCT
ejpam-5845	477	11	h̃	h̃	PROPN
ejpam-5845	477	12	,	,	PUNCT
ejpam-5845	477	13	é))c	é))c	ADJ
ejpam-5845	477	14	)	)	PUNCT
ejpam-5845	477	15	◦	◦	NOUN
ejpam-5845	477	16	=	=	SYM
ejpam-5845	477	17	(	(	PUNCT
ejpam-5845	477	18	(	(	PUNCT
ejpam-5845	477	19	(	(	PUNCT
ejpam-5845	477	20	υ̃	υ̃	PROPN
ejpam-5845	477	21	,	,	PUNCT
ejpam-5845	477	22	é)c	é)c	ADP
ejpam-5845	477	23	⋓	⋓	NOUN
ejpam-5845	477	24	(	(	PUNCT
ejpam-5845	477	25	h̃	h̃	PROPN
ejpam-5845	477	26	,	,	PUNCT
ejpam-5845	477	27	é)c	é)c	NOUN
ejpam-5845	477	28	)	)	PUNCT
ejpam-5845	477	29	)	)	PUNCT
ejpam-5845	477	30	◦	◦	NOUN
ejpam-5845	477	31	⊇	⊇	NOUN
ejpam-5845	477	32	(	(	PUNCT
ejpam-5845	477	33	(	(	PUNCT
ejpam-5845	477	34	υ̃	υ̃	PROPN
ejpam-5845	477	35	,	,	PUNCT
ejpam-5845	477	36	é)c	é)c	NOUN
ejpam-5845	477	37	)	)	PUNCT
ejpam-5845	477	38	◦	◦	NOUN
ejpam-5845	477	39	⋓	⋓	NOUN
ejpam-5845	477	40	(	(	PUNCT
ejpam-5845	477	41	(	(	PUNCT
ejpam-5845	477	42	h̃	h̃	PROPN
ejpam-5845	477	43	,	,	PUNCT
ejpam-5845	477	44	é)c	é)c	NOUN
ejpam-5845	477	45	)	)	PUNCT
ejpam-5845	477	46	◦	◦	NOUN
ejpam-5845	477	47	=	=	SYM
ejpam-5845	477	48	ext((υ̃	ext((υ̃	PROPN
ejpam-5845	477	49	,	,	PUNCT
ejpam-5845	477	50	é	é	PROPN
ejpam-5845	477	51	)	)	PUNCT
ejpam-5845	477	52	)	)	PUNCT
ejpam-5845	477	53	⋓	⋓	NOUN
ejpam-5845	477	54	ext((h̃	ext((h̃	PROPN
ejpam-5845	477	55	,	,	PUNCT
ejpam-5845	477	56	é	é	PROPN
ejpam-5845	477	57	)	)	PUNCT
ejpam-5845	477	58	)	)	PUNCT
ejpam-5845	477	59	.	.	PUNCT
ejpam-5845	478	1	(	(	PUNCT
ejpam-5845	478	2	iii	iii	X
ejpam-5845	478	3	)	)	PUNCT
ejpam-5845	478	4	for	for	ADP
ejpam-5845	478	5	the	the	DET
ejpam-5845	478	6	frontier	frontier	NOUN
ejpam-5845	478	7	:	:	PUNCT
ejpam-5845	478	8	fr((υ̃	fr((υ̃	ADJ
ejpam-5845	478	9	,	,	PUNCT
ejpam-5845	478	10	é	é	PROPN
ejpam-5845	478	11	)	)	PUNCT
ejpam-5845	478	12	⋓	⋓	NOUN
ejpam-5845	478	13	(	(	PUNCT
ejpam-5845	478	14	h̃	h̃	PROPN
ejpam-5845	478	15	,	,	PUNCT
ejpam-5845	478	16	é	é	PROPN
ejpam-5845	478	17	)	)	PUNCT
ejpam-5845	478	18	)	)	PUNCT
ejpam-5845	479	1	=	=	SYM
ejpam-5845	479	2	(	(	PUNCT
ejpam-5845	479	3	υ̃	υ̃	PROPN
ejpam-5845	479	4	,	,	PUNCT
ejpam-5845	479	5	é	é	PROPN
ejpam-5845	479	6	)	)	PUNCT
ejpam-5845	479	7	⋓	⋓	NOUN
ejpam-5845	479	8	(	(	PUNCT
ejpam-5845	479	9	h̃	h̃	PROPN
ejpam-5845	479	10	,	,	PUNCT
ejpam-5845	479	11	é	é	PROPN
ejpam-5845	479	12	)	)	PUNCT
ejpam-5845	479	13	⋒	⋒	PUNCT
ejpam-5845	479	14	(	(	PUNCT
ejpam-5845	479	15	(	(	PUNCT
ejpam-5845	479	16	υ̃	υ̃	PROPN
ejpam-5845	479	17	,	,	PUNCT
ejpam-5845	479	18	é	é	PROPN
ejpam-5845	479	19	)	)	PUNCT
ejpam-5845	479	20	⋓	⋓	NOUN
ejpam-5845	479	21	(	(	PUNCT
ejpam-5845	479	22	h̃	h̃	PROPN
ejpam-5845	479	23	,	,	PUNCT
ejpam-5845	479	24	é))c	é))c	PROPN
ejpam-5845	479	25	=	=	SYM
ejpam-5845	479	26	(	(	PUNCT
ejpam-5845	479	27	(	(	PUNCT
ejpam-5845	479	28	υ̃	υ̃	PROPN
ejpam-5845	479	29	,	,	PUNCT
ejpam-5845	479	30	é	é	PROPN
ejpam-5845	479	31	)	)	PUNCT
ejpam-5845	479	32	⋓	⋓	NOUN
ejpam-5845	479	33	(	(	PUNCT
ejpam-5845	479	34	h̃	h̃	PROPN
ejpam-5845	479	35	,	,	PUNCT
ejpam-5845	479	36	é	é	PROPN
ejpam-5845	479	37	)	)	PUNCT
ejpam-5845	479	38	)	)	PUNCT
ejpam-5845	479	39	⋒	⋒	PUNCT
ejpam-5845	479	40	(	(	PUNCT
ejpam-5845	479	41	(	(	PUNCT
ejpam-5845	479	42	υ̃	υ̃	PROPN
ejpam-5845	479	43	,	,	PUNCT
ejpam-5845	479	44	é)c	é)c	ADP
ejpam-5845	479	45	⋒	⋒	X
ejpam-5845	479	46	(	(	PUNCT
ejpam-5845	479	47	h̃	h̃	PROPN
ejpam-5845	479	48	,	,	PUNCT
ejpam-5845	479	49	é)c	é)c	NOUN
ejpam-5845	479	50	)	)	PUNCT
ejpam-5845	479	51	⊆	⊆	NUM
ejpam-5845	479	52	fr((υ̃	fr((υ̃	ADJ
ejpam-5845	479	53	,	,	PUNCT
ejpam-5845	479	54	é	é	PROPN
ejpam-5845	479	55	)	)	PUNCT
ejpam-5845	479	56	)	)	PUNCT
ejpam-5845	479	57	⋓	⋓	NOUN
ejpam-5845	479	58	fr((h̃	fr((h̃	PROPN
ejpam-5845	479	59	,	,	PUNCT
ejpam-5845	479	60	é	é	PROPN
ejpam-5845	479	61	)	)	PUNCT
ejpam-5845	479	62	)	)	PUNCT
ejpam-5845	479	63	.	.	PUNCT
ejpam-5845	480	1	(	(	PUNCT
ejpam-5845	480	2	iv	iv	X
ejpam-5845	480	3	)	)	PUNCT
ejpam-5845	480	4	similarly	similarly	ADV
ejpam-5845	480	5	,	,	PUNCT
ejpam-5845	480	6	for	for	ADP
ejpam-5845	480	7	the	the	DET
ejpam-5845	480	8	intersection	intersection	NOUN
ejpam-5845	480	9	:	:	PUNCT
ejpam-5845	480	10	fr((υ̃	fr((υ̃	ADJ
ejpam-5845	480	11	,	,	PUNCT
ejpam-5845	480	12	é	é	PROPN
ejpam-5845	480	13	)	)	PUNCT
ejpam-5845	480	14	⋒	⋒	PUNCT
ejpam-5845	480	15	(	(	PUNCT
ejpam-5845	480	16	h̃	h̃	PROPN
ejpam-5845	480	17	,	,	PUNCT
ejpam-5845	480	18	é	é	PROPN
ejpam-5845	480	19	)	)	PUNCT
ejpam-5845	480	20	)	)	PUNCT
ejpam-5845	481	1	=	=	SYM
ejpam-5845	481	2	(	(	PUNCT
ejpam-5845	481	3	υ̃	υ̃	PROPN
ejpam-5845	481	4	,	,	PUNCT
ejpam-5845	481	5	é	é	PROPN
ejpam-5845	481	6	)	)	PUNCT
ejpam-5845	481	7	⋒	⋒	PUNCT
ejpam-5845	481	8	(	(	PUNCT
ejpam-5845	481	9	h̃	h̃	PROPN
ejpam-5845	481	10	,	,	PUNCT
ejpam-5845	481	11	é	é	PROPN
ejpam-5845	481	12	)	)	PUNCT
ejpam-5845	481	13	⋒	⋒	PUNCT
ejpam-5845	481	14	(	(	PUNCT
ejpam-5845	481	15	(	(	PUNCT
ejpam-5845	481	16	υ̃	υ̃	PROPN
ejpam-5845	481	17	,	,	PUNCT
ejpam-5845	481	18	é	é	PROPN
ejpam-5845	481	19	)	)	PUNCT
ejpam-5845	481	20	⋒	⋒	PUNCT
ejpam-5845	481	21	(	(	PUNCT
ejpam-5845	481	22	h̃	h̃	PROPN
ejpam-5845	481	23	,	,	PUNCT
ejpam-5845	481	24	é))c	é))c	PROPN
ejpam-5845	481	25	⊆	⊆	NUM
ejpam-5845	481	26	(	(	PUNCT
ejpam-5845	481	27	(	(	PUNCT
ejpam-5845	481	28	υ̃	υ̃	PROPN
ejpam-5845	481	29	,	,	PUNCT
ejpam-5845	481	30	é	é	PROPN
ejpam-5845	481	31	)	)	PUNCT
ejpam-5845	481	32	⋒	⋒	PUNCT
ejpam-5845	481	33	(	(	PUNCT
ejpam-5845	481	34	h̃	h̃	PROPN
ejpam-5845	481	35	,	,	PUNCT
ejpam-5845	481	36	é	é	PROPN
ejpam-5845	481	37	)	)	PUNCT
ejpam-5845	481	38	)	)	PUNCT
ejpam-5845	481	39	⋒	⋒	PUNCT
ejpam-5845	481	40	(	(	PUNCT
ejpam-5845	481	41	(	(	PUNCT
ejpam-5845	481	42	υ̃	υ̃	PROPN
ejpam-5845	481	43	,	,	PUNCT
ejpam-5845	481	44	é)c	é)c	ADP
ejpam-5845	481	45	⋓	⋓	NOUN
ejpam-5845	481	46	(	(	PUNCT
ejpam-5845	481	47	h̃	h̃	PROPN
ejpam-5845	481	48	,	,	PUNCT
ejpam-5845	481	49	é)c	é)c	NOUN
ejpam-5845	481	50	)	)	PUNCT
ejpam-5845	481	51	=	=	SYM
ejpam-5845	481	52	fr((υ̃	fr((υ̃	ADJ
ejpam-5845	481	53	,	,	PUNCT
ejpam-5845	481	54	é	é	PROPN
ejpam-5845	481	55	)	)	PUNCT
ejpam-5845	481	56	)	)	PUNCT
ejpam-5845	481	57	⋓	⋓	NOUN
ejpam-5845	481	58	fr((h̃	fr((h̃	PROPN
ejpam-5845	481	59	,	,	PUNCT
ejpam-5845	481	60	é	é	PROPN
ejpam-5845	481	61	)	)	PUNCT
ejpam-5845	481	62	)	)	PUNCT
ejpam-5845	481	63	.	.	PUNCT
ejpam-5845	482	1	m.	m.	NOUN
ejpam-5845	482	2	m.	m.	PROPN
ejpam-5845	482	3	saeed	saeed	PROPN
ejpam-5845	482	4	et	et	PROPN
ejpam-5845	482	5	al	al	PROPN
ejpam-5845	482	6	.	.	PUNCT
ejpam-5845	482	7	/	/	SYM
ejpam-5845	482	8	eur	eur	PROPN
ejpam-5845	482	9	.	.	PUNCT
ejpam-5845	483	1	j.	j.	PROPN
ejpam-5845	483	2	pure	pure	PROPN
ejpam-5845	483	3	appl	appl	PROPN
ejpam-5845	483	4	.	.	PROPN
ejpam-5845	483	5	math	math	PROPN
ejpam-5845	483	6	,	,	PUNCT
ejpam-5845	483	7	18	18	NUM
ejpam-5845	483	8	(	(	PUNCT
ejpam-5845	483	9	2	2	NUM
ejpam-5845	483	10	)	)	PUNCT
ejpam-5845	483	11	(	(	PUNCT
ejpam-5845	483	12	2025	2025	NUM
ejpam-5845	483	13	)	)	PUNCT
ejpam-5845	483	14	,	,	PUNCT
ejpam-5845	483	15	5845	5845	NUM
ejpam-5845	483	16	20	20	NUM
ejpam-5845	483	17	of	of	ADP
ejpam-5845	483	18	32	32	NUM
ejpam-5845	483	19	5	5	NUM
ejpam-5845	483	20	.	.	PUNCT
ejpam-5845	484	1	few	few	ADJ
ejpam-5845	484	2	results	result	NOUN
ejpam-5845	484	3	on	on	ADP
ejpam-5845	484	4	qpns	qpns	NOUN
ejpam-5845	484	5	p	p	NOUN
ejpam-5845	484	6	-	-	PUNCT
ejpam-5845	484	7	compactness	compactness	NOUN
ejpam-5845	484	8	in	in	ADP
ejpam-5845	484	9	the	the	DET
ejpam-5845	484	10	context	context	NOUN
ejpam-5845	484	11	of	of	ADP
ejpam-5845	484	12	qpnsbts	qpnsbt	NOUN
ejpam-5845	484	13	and	and	CCONJ
ejpam-5845	484	14	qpns	qpns	NOUN
ejpam-5845	484	15	p	p	ADJ
ejpam-5845	484	16	-	-	PUNCT
ejpam-5845	484	17	compact	compact	ADJ
ejpam-5845	484	18	spaces	space	NOUN
ejpam-5845	484	19	,	,	PUNCT
ejpam-5845	484	20	the	the	DET
ejpam-5845	484	21	idea	idea	NOUN
ejpam-5845	484	22	of	of	ADP
ejpam-5845	484	23	qpns	qpns	NOUN
ejpam-5845	484	24	compactness	compactness	NOUN
ejpam-5845	484	25	is	be	AUX
ejpam-5845	484	26	examined	examine	VERB
ejpam-5845	484	27	in	in	ADP
ejpam-5845	484	28	this	this	DET
ejpam-5845	484	29	section	section	NOUN
ejpam-5845	484	30	.	.	PUNCT
ejpam-5845	485	1	the	the	DET
ejpam-5845	485	2	concept	concept	NOUN
ejpam-5845	485	3	of	of	ADP
ejpam-5845	485	4	reducibility	reducibility	NOUN
ejpam-5845	485	5	to	to	PART
ejpam-5845	485	6	finite	finite	VERB
ejpam-5845	485	7	sub	sub	NOUN
ejpam-5845	485	8	-	-	NOUN
ejpam-5845	485	9	covers	cover	NOUN
ejpam-5845	485	10	is	be	AUX
ejpam-5845	485	11	one	one	NUM
ejpam-5845	485	12	of	of	ADP
ejpam-5845	485	13	the	the	DET
ejpam-5845	485	14	features	feature	NOUN
ejpam-5845	485	15	of	of	ADP
ejpam-5845	485	16	a	a	DET
ejpam-5845	485	17	qpns	qpns	NOUN
ejpam-5845	485	18	cover	cover	NOUN
ejpam-5845	485	19	that	that	SCONJ
ejpam-5845	485	20	we	we	PRON
ejpam-5845	485	21	define	define	VERB
ejpam-5845	485	22	and	and	CCONJ
ejpam-5845	485	23	study	study	VERB
ejpam-5845	485	24	.	.	PUNCT
ejpam-5845	486	1	important	important	ADJ
ejpam-5845	486	2	theorems	theorem	NOUN
ejpam-5845	486	3	prove	prove	VERB
ejpam-5845	486	4	that	that	SCONJ
ejpam-5845	486	5	the	the	DET
ejpam-5845	486	6	intersection	intersection	NOUN
ejpam-5845	486	7	of	of	ADP
ejpam-5845	486	8	qpns	qpns	NOUN
ejpam-5845	486	9	p	p	NOUN
ejpam-5845	486	10	-	-	PUNCT
ejpam-5845	486	11	closed	close	VERB
ejpam-5845	486	12	sets	set	NOUN
ejpam-5845	486	13	is	be	AUX
ejpam-5845	486	14	non	non	ADJ
ejpam-5845	486	15	-	-	ADJ
ejpam-5845	486	16	empty	empty	ADJ
ejpam-5845	486	17	and	and	CCONJ
ejpam-5845	486	18	that	that	SCONJ
ejpam-5845	486	19	a	a	DET
ejpam-5845	486	20	qpns	qpns	NOUN
ejpam-5845	486	21	p	p	ADJ
ejpam-5845	486	22	-	-	PUNCT
ejpam-5845	486	23	compact	compact	ADJ
ejpam-5845	486	24	space	space	NOUN
ejpam-5845	486	25	preserves	preserve	VERB
ejpam-5845	486	26	the	the	DET
ejpam-5845	486	27	finite	finite	ADJ
ejpam-5845	486	28	intersection	intersection	NOUN
ejpam-5845	486	29	property	property	NOUN
ejpam-5845	486	30	among	among	ADP
ejpam-5845	486	31	its	its	PRON
ejpam-5845	486	32	qpns	qpns	NOUN
ejpam-5845	486	33	p	p	NOUN
ejpam-5845	486	34	-	-	PUNCT
ejpam-5845	486	35	closed	close	VERB
ejpam-5845	486	36	sets	set	NOUN
ejpam-5845	486	37	.	.	PUNCT
ejpam-5845	487	1	we	we	PRON
ejpam-5845	487	2	also	also	ADV
ejpam-5845	487	3	prove	prove	VERB
ejpam-5845	487	4	the	the	DET
ejpam-5845	487	5	existence	existence	NOUN
ejpam-5845	487	6	of	of	ADP
ejpam-5845	487	7	disjoint	disjoint	NOUN
ejpam-5845	487	8	qpns	qpns	NOUN
ejpam-5845	487	9	p	p	NOUN
ejpam-5845	487	10	-	-	PUNCT
ejpam-5845	487	11	open	open	ADJ
ejpam-5845	487	12	sets	set	NOUN
ejpam-5845	487	13	separating	separate	VERB
ejpam-5845	487	14	disjoint	disjoint	NOUN
ejpam-5845	487	15	qpns	qpns	NOUN
ejpam-5845	487	16	p	p	ADJ
ejpam-5845	487	17	-	-	PUNCT
ejpam-5845	487	18	compact	compact	ADJ
ejpam-5845	487	19	subsets	subset	NOUN
ejpam-5845	487	20	in	in	ADP
ejpam-5845	487	21	a	a	DET
ejpam-5845	487	22	qpns	qpns	NOUN
ejpam-5845	487	23	p	p	NOUN
ejpam-5845	487	24	-	-	PUNCT
ejpam-5845	487	25	hausdorff	hausdorff	NOUN
ejpam-5845	487	26	space	space	NOUN
ejpam-5845	487	27	and	and	CCONJ
ejpam-5845	487	28	show	show	VERB
ejpam-5845	487	29	that	that	SCONJ
ejpam-5845	487	30	a	a	DET
ejpam-5845	487	31	qpns	qpns	NOUN
ejpam-5845	487	32	p	p	NOUN
ejpam-5845	487	33	-	-	PUNCT
ejpam-5845	487	34	closed	closed	ADJ
ejpam-5845	487	35	subset	subset	NOUN
ejpam-5845	487	36	of	of	ADP
ejpam-5845	487	37	a	a	DET
ejpam-5845	487	38	qpns	qpns	NOUN
ejpam-5845	487	39	p	p	ADJ
ejpam-5845	487	40	-	-	PUNCT
ejpam-5845	487	41	compact	compact	ADJ
ejpam-5845	487	42	space	space	NOUN
ejpam-5845	487	43	stays	stay	VERB
ejpam-5845	487	44	qpns	qpns	NOUN
ejpam-5845	487	45	p	p	NOUN
ejpam-5845	487	46	-	-	PUNCT
ejpam-5845	487	47	compact	compact	ADJ
ejpam-5845	487	48	.	.	PUNCT
ejpam-5845	488	1	the	the	DET
ejpam-5845	488	2	theoretical	theoretical	ADJ
ejpam-5845	488	3	underpinning	underpinning	NOUN
ejpam-5845	488	4	of	of	ADP
ejpam-5845	488	5	qpns	qpns	NOUN
ejpam-5845	488	6	spaces	space	NOUN
ejpam-5845	488	7	is	be	AUX
ejpam-5845	488	8	improved	improve	VERB
ejpam-5845	488	9	by	by	ADP
ejpam-5845	488	10	this	this	DET
ejpam-5845	488	11	work	work	NOUN
ejpam-5845	488	12	,	,	PUNCT
ejpam-5845	488	13	which	which	PRON
ejpam-5845	488	14	advances	advance	VERB
ejpam-5845	488	15	our	our	PRON
ejpam-5845	488	16	knowledge	knowledge	NOUN
ejpam-5845	488	17	of	of	ADP
ejpam-5845	488	18	compactness	compactness	NOUN
ejpam-5845	488	19	in	in	ADP
ejpam-5845	488	20	soft	soft	ADJ
ejpam-5845	488	21	topological	topological	ADJ
ejpam-5845	488	22	spaces	space	NOUN
ejpam-5845	488	23	.	.	PUNCT
ejpam-5845	489	1	definition	definition	NOUN
ejpam-5845	489	2	31	31	NUM
ejpam-5845	489	3	.	.	PUNCT
ejpam-5845	490	1	let	let	VERB
ejpam-5845	490	2	(	(	PUNCT
ejpam-5845	490	3	υ̃	υ̃	PROPN
ejpam-5845	490	4	,	,	PUNCT
ejpam-5845	490	5	é	é	PROPN
ejpam-5845	490	6	)	)	PUNCT
ejpam-5845	490	7	=	=	PRON
ejpam-5845	490	8	{	{	PUNCT
ejpam-5845	490	9	(	(	PUNCT
ejpam-5845	490	10	υ̃	υ̃	PROPN
ejpam-5845	490	11	,	,	PUNCT
ejpam-5845	490	12	é)i	é)i	AUX
ejpam-5845	490	13	}	}	PUNCT
ejpam-5845	490	14	be	be	AUX
ejpam-5845	490	15	the	the	DET
ejpam-5845	490	16	class	class	NOUN
ejpam-5845	490	17	of	of	ADP
ejpam-5845	490	18	subsets	subset	NOUN
ejpam-5845	490	19	of	of	ADP
ejpam-5845	490	20	m	m	PRON
ejpam-5845	490	21	and	and	CCONJ
ejpam-5845	490	22	(	(	PUNCT
ejpam-5845	490	23	θ̃	θ̃	PROPN
ejpam-5845	490	24	,	,	PUNCT
ejpam-5845	490	25	é	é	PROPN
ejpam-5845	490	26	)	)	PUNCT
ejpam-5845	490	27	⊆	⊆	NUM
ejpam-5845	490	28	m̃.	m̃.	NOUN
ejpam-5845	490	29	if	if	SCONJ
ejpam-5845	490	30	(	(	PUNCT
ejpam-5845	490	31	θ̃	θ̃	NOUN
ejpam-5845	490	32	,	,	PUNCT
ejpam-5845	490	33	é	é	PROPN
ejpam-5845	490	34	)	)	PUNCT
ejpam-5845	491	1	⊆	⊆	NUM
ejpam-5845	491	2	⋓̃(υ̃	⋓̃(υ̃	ADJ
ejpam-5845	491	3	,	,	PUNCT
ejpam-5845	491	4	é)i	é)i	ADJ
ejpam-5845	491	5	,	,	PUNCT
ejpam-5845	491	6	then	then	ADV
ejpam-5845	491	7	the	the	DET
ejpam-5845	491	8	class	class	NOUN
ejpam-5845	491	9	{	{	PUNCT
ejpam-5845	491	10	(	(	PUNCT
ejpam-5845	491	11	υ̃	υ̃	PROPN
ejpam-5845	491	12	,	,	PUNCT
ejpam-5845	491	13	é)i	é)i	AUX
ejpam-5845	491	14	}	}	PUNCT
ejpam-5845	491	15	is	be	AUX
ejpam-5845	491	16	called	call	VERB
ejpam-5845	491	17	a	a	DET
ejpam-5845	491	18	qpns	qpns	NOUN
ejpam-5845	491	19	cover	cover	NOUN
ejpam-5845	491	20	of	of	ADP
ejpam-5845	491	21	(	(	PUNCT
ejpam-5845	491	22	θ̃	θ̃	PROPN
ejpam-5845	491	23	,	,	PUNCT
ejpam-5845	491	24	é	é	PROPN
ejpam-5845	491	25	)	)	PUNCT
ejpam-5845	491	26	.	.	PUNCT
ejpam-5845	492	1	this	this	DET
ejpam-5845	492	2	cover	cover	NOUN
ejpam-5845	492	3	is	be	AUX
ejpam-5845	492	4	known	know	VERB
ejpam-5845	492	5	as	as	ADP
ejpam-5845	492	6	finite	finite	NOUN
ejpam-5845	492	7	,	,	PUNCT
ejpam-5845	492	8	countable	countable	ADJ
ejpam-5845	492	9	,	,	PUNCT
ejpam-5845	492	10	or	or	CCONJ
ejpam-5845	492	11	qpns	qpns	NOUN
ejpam-5845	492	12	p	p	NOUN
ejpam-5845	492	13	-	-	PUNCT
ejpam-5845	492	14	open	open	ADJ
ejpam-5845	492	15	according	accord	VERB
ejpam-5845	492	16	to	to	ADP
ejpam-5845	492	17	whether	whether	SCONJ
ejpam-5845	492	18	the	the	DET
ejpam-5845	492	19	members	member	NOUN
ejpam-5845	492	20	of	of	ADP
ejpam-5845	492	21	the	the	DET
ejpam-5845	492	22	above	above	ADJ
ejpam-5845	492	23	class	class	NOUN
ejpam-5845	492	24	are	be	AUX
ejpam-5845	492	25	finite	finite	ADJ
ejpam-5845	492	26	,	,	PUNCT
ejpam-5845	492	27	countable	countable	ADJ
ejpam-5845	492	28	,	,	PUNCT
ejpam-5845	492	29	or	or	CCONJ
ejpam-5845	492	30	qpns	qpns	NOUN
ejpam-5845	492	31	p	p	X
ejpam-5845	492	32	-	-	PUNCT
ejpam-5845	492	33	open	open	ADJ
ejpam-5845	492	34	,	,	PUNCT
ejpam-5845	492	35	respectively	respectively	ADV
ejpam-5845	492	36	.	.	PUNCT
ejpam-5845	493	1	additionally	additionally	ADV
ejpam-5845	493	2	,	,	PUNCT
ejpam-5845	493	3	let	let	VERB
ejpam-5845	493	4	:	:	PUNCT
ejpam-5845	493	5	(	(	PUNCT
ejpam-5845	493	6	θ̃	θ̃	PROPN
ejpam-5845	493	7	,	,	PUNCT
ejpam-5845	493	8	é)1	é)1	PROPN
ejpam-5845	493	9	=	=	SYM
ejpam-5845	493	10	(	(	PUNCT
ejpam-5845	493	11	υ̃	υ̃	PROPN
ejpam-5845	493	12	,	,	PUNCT
ejpam-5845	493	13	é)1	é)1	PROPN
ejpam-5845	493	14	⋓	⋓	NOUN
ejpam-5845	493	15	(	(	PUNCT
ejpam-5845	493	16	υ̃	υ̃	PROPN
ejpam-5845	493	17	,	,	PUNCT
ejpam-5845	493	18	é)2	é)2	PROPN
ejpam-5845	493	19	⋓	⋓	NOUN
ejpam-5845	493	20	(	(	PUNCT
ejpam-5845	493	21	υ̃	υ̃	PROPN
ejpam-5845	493	22	,	,	PUNCT
ejpam-5845	493	23	é)3	é)3	PROPN
ejpam-5845	493	24	.	.	PUNCT
ejpam-5845	494	1	if	if	SCONJ
ejpam-5845	494	2	(	(	PUNCT
ejpam-5845	494	3	θ̃	θ̃	NOUN
ejpam-5845	494	4	,	,	PUNCT
ejpam-5845	494	5	é)1	é)1	PROPN
ejpam-5845	494	6	=	=	SYM
ejpam-5845	494	7	{	{	PUNCT
ejpam-5845	494	8	(	(	PUNCT
ejpam-5845	494	9	υ̃	υ̃	PROPN
ejpam-5845	494	10	,	,	PUNCT
ejpam-5845	494	11	é)i	é)i	X
ejpam-5845	494	12	:	:	PUNCT
ejpam-5845	494	13	i	i	PROPN
ejpam-5845	494	14	∈	∈	VERB
ejpam-5845	494	15	ĩ	ĩ	PROPN
ejpam-5845	494	16	}	}	PUNCT
ejpam-5845	494	17	and	and	CCONJ
ejpam-5845	494	18	(	(	PUNCT
ejpam-5845	494	19	θ̃	θ̃	PROPN
ejpam-5845	494	20	,	,	PUNCT
ejpam-5845	494	21	é)2	é)2	PROPN
ejpam-5845	494	22	=	=	SYM
ejpam-5845	494	23	{	{	PUNCT
ejpam-5845	494	24	(	(	PUNCT
ejpam-5845	494	25	λ̃	λ̃	PROPN
ejpam-5845	494	26	,	,	PUNCT
ejpam-5845	494	27	é)i	é)i	X
ejpam-5845	494	28	:	:	PUNCT
ejpam-5845	494	29	i	i	PROPN
ejpam-5845	494	30	∈	∈	VERB
ejpam-5845	495	1	ĩ	ĩ	PROPN
ejpam-5845	495	2	}	}	PUNCT
ejpam-5845	495	3	are	be	AUX
ejpam-5845	495	4	two	two	NUM
ejpam-5845	495	5	qpns	qpns	NOUN
ejpam-5845	495	6	covers	cover	NOUN
ejpam-5845	495	7	of	of	ADP
ejpam-5845	495	8	a	a	DET
ejpam-5845	495	9	set	set	NOUN
ejpam-5845	495	10	(	(	PUNCT
ejpam-5845	495	11	θ̃	θ̃	PROPN
ejpam-5845	495	12	,	,	PUNCT
ejpam-5845	495	13	é	é	PROPN
ejpam-5845	495	14	)	)	PUNCT
ejpam-5845	495	15	,	,	PUNCT
ejpam-5845	495	16	i.e.	i.e.	X
ejpam-5845	495	17	,	,	PUNCT
ejpam-5845	495	18	(	(	PUNCT
ejpam-5845	495	19	θ̃	θ̃	NOUN
ejpam-5845	495	20	,	,	PUNCT
ejpam-5845	495	21	é	é	PROPN
ejpam-5845	495	22	)	)	PUNCT
ejpam-5845	495	23	⊆	⊆	NUM
ejpam-5845	495	24	⋓̃(υ̃	⋓̃(υ̃	ADJ
ejpam-5845	495	25	,	,	PUNCT
ejpam-5845	495	26	é)i	é)i	PROPN
ejpam-5845	495	27	and	and	CCONJ
ejpam-5845	495	28	(	(	PUNCT
ejpam-5845	495	29	θ̃	θ̃	PROPN
ejpam-5845	495	30	,	,	PUNCT
ejpam-5845	495	31	é	é	PROPN
ejpam-5845	495	32	)	)	PUNCT
ejpam-5845	495	33	⊆	⊆	NUM
ejpam-5845	495	34	⋓̃(λ̃	⋓̃(λ̃	NOUN
ejpam-5845	495	35	,	,	PUNCT
ejpam-5845	495	36	é)i	é)i	NOUN
ejpam-5845	495	37	,	,	PUNCT
ejpam-5845	495	38	such	such	ADJ
ejpam-5845	495	39	that	that	SCONJ
ejpam-5845	495	40	every	every	DET
ejpam-5845	495	41	member	member	NOUN
ejpam-5845	495	42	of	of	ADP
ejpam-5845	495	43	(	(	PUNCT
ejpam-5845	495	44	θ̃	θ̃	PROPN
ejpam-5845	495	45	,	,	PUNCT
ejpam-5845	495	46	é)2	é)2	PROPN
ejpam-5845	495	47	is	be	AUX
ejpam-5845	495	48	also	also	ADV
ejpam-5845	495	49	a	a	DET
ejpam-5845	495	50	member	member	NOUN
ejpam-5845	495	51	of	of	ADP
ejpam-5845	495	52	(	(	PUNCT
ejpam-5845	495	53	θ̃	θ̃	PROPN
ejpam-5845	495	54	,	,	PUNCT
ejpam-5845	495	55	é)1	é)1	PROPN
ejpam-5845	495	56	,	,	PUNCT
ejpam-5845	495	57	then	then	ADV
ejpam-5845	495	58	(	(	PUNCT
ejpam-5845	495	59	θ̃	θ̃	PROPN
ejpam-5845	495	60	,	,	PUNCT
ejpam-5845	495	61	é)2	é)2	PROPN
ejpam-5845	495	62	is	be	AUX
ejpam-5845	495	63	called	call	VERB
ejpam-5845	495	64	the	the	DET
ejpam-5845	495	65	qpns	qpns	NOUN
ejpam-5845	495	66	sub	sub	NOUN
ejpam-5845	495	67	-	-	NOUN
ejpam-5845	495	68	cover	cover	NOUN
ejpam-5845	495	69	of	of	ADP
ejpam-5845	495	70	(	(	PUNCT
ejpam-5845	495	71	θ̃	θ̃	PROPN
ejpam-5845	495	72	,	,	PUNCT
ejpam-5845	495	73	é)1	é)1	PROPN
ejpam-5845	495	74	.	.	PUNCT
ejpam-5845	496	1	definition	definition	NOUN
ejpam-5845	496	2	32	32	NUM
ejpam-5845	496	3	.	.	PUNCT
ejpam-5845	497	1	let	let	VERB
ejpam-5845	497	2	(	(	PUNCT
ejpam-5845	497	3	θ̃	θ̃	NOUN
ejpam-5845	497	4	,	,	PUNCT
ejpam-5845	497	5	é	é	PROPN
ejpam-5845	497	6	)	)	PUNCT
ejpam-5845	497	7	=	=	PRON
ejpam-5845	497	8	{	{	PUNCT
ejpam-5845	497	9	(	(	PUNCT
ejpam-5845	497	10	υ̃	υ̃	PROPN
ejpam-5845	497	11	,	,	PUNCT
ejpam-5845	497	12	é)i	é)i	X
ejpam-5845	497	13	:	:	PUNCT
ejpam-5845	497	14	i	i	PROPN
ejpam-5845	497	15	∈	∈	PROPN
ejpam-5845	498	1	ĩ	ĩ	PROPN
ejpam-5845	498	2	}	}	PUNCT
ejpam-5845	498	3	be	be	AUX
ejpam-5845	498	4	a	a	DET
ejpam-5845	498	5	class	class	NOUN
ejpam-5845	498	6	of	of	ADP
ejpam-5845	498	7	qpns	qpns	NOUN
ejpam-5845	498	8	subsets	subset	NOUN
ejpam-5845	498	9	of	of	ADP
ejpam-5845	498	10	m	m	PROPN
ejpam-5845	498	11	,	,	PUNCT
ejpam-5845	498	12	and	and	CCONJ
ejpam-5845	498	13	suppose	suppose	VERB
ejpam-5845	498	14	(	(	PUNCT
ejpam-5845	498	15	θ̃	θ̃	NOUN
ejpam-5845	498	16	,	,	PUNCT
ejpam-5845	498	17	é	é	PROPN
ejpam-5845	498	18	)	)	PUNCT
ejpam-5845	498	19	⊆	⊆	NUM
ejpam-5845	498	20	m̃	m̃	PROPN
ejpam-5845	498	21	such	such	ADJ
ejpam-5845	498	22	that	that	PRON
ejpam-5845	498	23	(	(	PUNCT
ejpam-5845	498	24	θ̃	θ̃	NOUN
ejpam-5845	498	25	,	,	PUNCT
ejpam-5845	498	26	é	é	PROPN
ejpam-5845	498	27	)	)	PUNCT
ejpam-5845	498	28	⊆	⊆	NUM
ejpam-5845	498	29	⋓̃(υ̃	⋓̃(υ̃	ADJ
ejpam-5845	498	30	,	,	PUNCT
ejpam-5845	498	31	é)i	é)i	PROPN
ejpam-5845	498	32	.	.	NOUN
ejpam-5845	499	1	then	then	ADV
ejpam-5845	499	2	,	,	PUNCT
ejpam-5845	499	3	as	as	SCONJ
ejpam-5845	499	4	mentioned	mention	VERB
ejpam-5845	499	5	above	above	ADV
ejpam-5845	499	6	,	,	PUNCT
ejpam-5845	499	7	(	(	PUNCT
ejpam-5845	499	8	θ̃	θ̃	PROPN
ejpam-5845	499	9	,	,	PUNCT
ejpam-5845	499	10	é	é	PROPN
ejpam-5845	499	11	)	)	PUNCT
ejpam-5845	499	12	=	=	PRON
ejpam-5845	499	13	{	{	PUNCT
ejpam-5845	499	14	(	(	PUNCT
ejpam-5845	499	15	υ̃	υ̃	PROPN
ejpam-5845	499	16	,	,	PUNCT
ejpam-5845	499	17	é)i	é)i	X
ejpam-5845	499	18	:	:	PUNCT
ejpam-5845	499	19	i	i	PROPN
ejpam-5845	499	20	∈	∈	VERB
ejpam-5845	499	21	ĩ	ĩ	PROPN
ejpam-5845	499	22	}	}	PUNCT
ejpam-5845	499	23	is	be	AUX
ejpam-5845	499	24	a	a	DET
ejpam-5845	499	25	qpns	qpns	NOUN
ejpam-5845	499	26	p	p	NOUN
ejpam-5845	499	27	-	-	PUNCT
ejpam-5845	499	28	cover	cover	NOUN
ejpam-5845	499	29	.	.	PUNCT
ejpam-5845	500	1	if	if	SCONJ
ejpam-5845	500	2	we	we	PRON
ejpam-5845	500	3	can	can	AUX
ejpam-5845	500	4	select	select	VERB
ejpam-5845	500	5	a	a	DET
ejpam-5845	500	6	finite	finite	ADJ
ejpam-5845	500	7	number	number	NOUN
ejpam-5845	500	8	of	of	ADP
ejpam-5845	500	9	qpns	qpns	NOUN
ejpam-5845	500	10	sets	set	NOUN
ejpam-5845	500	11	from	from	ADP
ejpam-5845	500	12	the	the	DET
ejpam-5845	500	13	above	above	ADJ
ejpam-5845	500	14	class	class	NOUN
ejpam-5845	500	15	(	(	PUNCT
ejpam-5845	500	16	θ̃	θ̃	PROPN
ejpam-5845	500	17	,	,	PUNCT
ejpam-5845	500	18	é	é	PROPN
ejpam-5845	500	19	)	)	PUNCT
ejpam-5845	500	20	,	,	PUNCT
ejpam-5845	500	21	that	that	ADV
ejpam-5845	500	22	is	is	ADV
ejpam-5845	500	23	,	,	PUNCT
ejpam-5845	500	24	if	if	SCONJ
ejpam-5845	500	25	we	we	PRON
ejpam-5845	500	26	can	can	AUX
ejpam-5845	500	27	have	have	VERB
ejpam-5845	500	28	(	(	PUNCT
ejpam-5845	500	29	υ̃	υ̃	PROPN
ejpam-5845	500	30	,	,	PUNCT
ejpam-5845	500	31	é)i1	é)i1	NOUN
ejpam-5845	500	32	,	,	PUNCT
ejpam-5845	500	33	(	(	PUNCT
ejpam-5845	500	34	υ̃	υ̃	PROPN
ejpam-5845	500	35	,	,	PUNCT
ejpam-5845	500	36	é)i2	é)i2	X
ejpam-5845	500	37	,	,	PUNCT
ejpam-5845	500	38	(	(	PUNCT
ejpam-5845	500	39	υ̃	υ̃	PROPN
ejpam-5845	500	40	,	,	PUNCT
ejpam-5845	500	41	é)i3	é)i3	NOUN
ejpam-5845	500	42	,	,	PUNCT
ejpam-5845	500	43	.	.	PUNCT
ejpam-5845	500	44	.	.	PUNCT
ejpam-5845	501	1	.	.	PUNCT
ejpam-5845	502	1	,	,	PUNCT
ejpam-5845	502	2	(	(	PUNCT
ejpam-5845	502	3	υ̃	υ̃	PROPN
ejpam-5845	502	4	,	,	PUNCT
ejpam-5845	502	5	é)ik	é)ik	NOUN
ejpam-5845	502	6	from	from	ADP
ejpam-5845	502	7	(	(	PUNCT
ejpam-5845	502	8	θ̃	θ̃	PROPN
ejpam-5845	502	9	,	,	PUNCT
ejpam-5845	502	10	é	é	PROPN
ejpam-5845	502	11	)	)	PUNCT
ejpam-5845	502	12	such	such	ADJ
ejpam-5845	502	13	that	that	SCONJ
ejpam-5845	502	14	(	(	PUNCT
ejpam-5845	502	15	θ̃	θ̃	NOUN
ejpam-5845	502	16	,	,	PUNCT
ejpam-5845	502	17	é	é	PROPN
ejpam-5845	502	18	)	)	PUNCT
ejpam-5845	502	19	⊆	⊆	NUM
ejpam-5845	502	20	(	(	PUNCT
ejpam-5845	502	21	υ̃	υ̃	PROPN
ejpam-5845	502	22	,	,	PUNCT
ejpam-5845	502	23	é)i1	é)i1	NOUN
ejpam-5845	502	24	⋓	⋓	NOUN
ejpam-5845	502	25	(	(	PUNCT
ejpam-5845	502	26	υ̃	υ̃	PROPN
ejpam-5845	502	27	,	,	PUNCT
ejpam-5845	502	28	é)i2	é)i2	PROPN
ejpam-5845	502	29	⋓	⋓	NOUN
ejpam-5845	502	30	(	(	PUNCT
ejpam-5845	502	31	υ̃	υ̃	PROPN
ejpam-5845	502	32	,	,	PUNCT
ejpam-5845	502	33	é)i3	é)i3	PROPN
ejpam-5845	502	34	⋓	⋓	NOUN
ejpam-5845	502	35	·	·	PUNCT
ejpam-5845	502	36	·	·	PUNCT
ejpam-5845	502	37	·	·	PUNCT
ejpam-5845	502	38	⋓	⋓	NOUN
ejpam-5845	502	39	(	(	PUNCT
ejpam-5845	502	40	υ̃	υ̃	PROPN
ejpam-5845	502	41	,	,	PUNCT
ejpam-5845	502	42	é)ik	é)ik	NOUN
ejpam-5845	502	43	,	,	PUNCT
ejpam-5845	502	44	or	or	CCONJ
ejpam-5845	502	45	equivalently	equivalently	ADV
ejpam-5845	502	46	,	,	PUNCT
ejpam-5845	502	47	(	(	PUNCT
ejpam-5845	502	48	θ̃	θ̃	PROPN
ejpam-5845	502	49	,	,	PUNCT
ejpam-5845	502	50	é	é	PROPN
ejpam-5845	502	51	)	)	PUNCT
ejpam-5845	502	52	⊆	⊆	NUM
ejpam-5845	502	53	⋓̃k	⋓̃k	NOUN
ejpam-5845	502	54	n=1(υ̃	n=1(υ̃	VERB
ejpam-5845	502	55	,	,	PUNCT
ejpam-5845	502	56	é)in	é)in	ADJ
ejpam-5845	502	57	,	,	PUNCT
ejpam-5845	502	58	then	then	ADV
ejpam-5845	502	59	we	we	PRON
ejpam-5845	502	60	say	say	VERB
ejpam-5845	502	61	that	that	SCONJ
ejpam-5845	502	62	the	the	DET
ejpam-5845	502	63	cover	cover	NOUN
ejpam-5845	502	64	(	(	PUNCT
ejpam-5845	502	65	θ̃	θ̃	NOUN
ejpam-5845	502	66	,	,	PUNCT
ejpam-5845	502	67	é	é	PROPN
ejpam-5845	502	68	)	)	PUNCT
ejpam-5845	502	69	=	=	PRON
ejpam-5845	502	70	{	{	PUNCT
ejpam-5845	502	71	(	(	PUNCT
ejpam-5845	502	72	υ̃	υ̃	PROPN
ejpam-5845	502	73	,	,	PUNCT
ejpam-5845	502	74	é)i	é)i	X
ejpam-5845	502	75	:	:	PUNCT
ejpam-5845	502	76	i	i	PROPN
ejpam-5845	502	77	∈	∈	VERB
ejpam-5845	502	78	ĩ	ĩ	PROPN
ejpam-5845	502	79	}	}	PUNCT
ejpam-5845	502	80	is	be	AUX
ejpam-5845	502	81	reducible	reducible	ADJ
ejpam-5845	502	82	to	to	ADP
ejpam-5845	502	83	a	a	DET
ejpam-5845	502	84	finite	finite	ADJ
ejpam-5845	502	85	qpns	qpns	NOUN
ejpam-5845	502	86	sub	sub	NOUN
ejpam-5845	502	87	-	-	ADJ
ejpam-5845	502	88	cover	cover	ADJ
ejpam-5845	502	89	.	.	PUNCT
ejpam-5845	503	1	definition	definition	NOUN
ejpam-5845	503	2	33	33	NUM
ejpam-5845	503	3	.	.	PUNCT
ejpam-5845	504	1	let	let	AUX
ejpam-5845	504	2	(	(	PUNCT
ejpam-5845	504	3	m	m	NOUN
ejpam-5845	504	4	,	,	PUNCT
ejpam-5845	504	5	τ1	τ1	NOUN
ejpam-5845	504	6	,	,	PUNCT
ejpam-5845	504	7	τ2	τ2	PROPN
ejpam-5845	504	8	,	,	PUNCT
ejpam-5845	504	9	é	é	PROPN
ejpam-5845	504	10	)	)	PUNCT
ejpam-5845	504	11	be	be	VERB
ejpam-5845	504	12	a	a	DET
ejpam-5845	504	13	qpnsbts	qpnsbt	NOUN
ejpam-5845	504	14	over	over	ADP
ejpam-5845	504	15	m	m	PROPN
ejpam-5845	504	16	,	,	PUNCT
ejpam-5845	504	17	and	and	CCONJ
ejpam-5845	504	18	let	let	VERB
ejpam-5845	504	19	(	(	PUNCT
ejpam-5845	504	20	θ̃	θ̃	NOUN
ejpam-5845	504	21	,	,	PUNCT
ejpam-5845	504	22	é	é	PROPN
ejpam-5845	504	23	)	)	PUNCT
ejpam-5845	504	24	⊆	⊆	NUM
ejpam-5845	504	25	m̃.	m̃.	PROPN
ejpam-5845	504	26	the	the	DET
ejpam-5845	504	27	set	set	NOUN
ejpam-5845	504	28	(	(	PUNCT
ejpam-5845	504	29	θ̃	θ̃	PROPN
ejpam-5845	504	30	,	,	PUNCT
ejpam-5845	504	31	é	é	PROPN
ejpam-5845	504	32	)	)	PUNCT
ejpam-5845	504	33	is	be	AUX
ejpam-5845	504	34	called	call	VERB
ejpam-5845	504	35	qpns	qpns	NOUN
ejpam-5845	504	36	compact	compact	ADJ
ejpam-5845	504	37	if	if	SCONJ
ejpam-5845	504	38	every	every	DET
ejpam-5845	504	39	qpns	qpns	NOUN
ejpam-5845	504	40	p	p	NOUN
ejpam-5845	504	41	-	-	PUNCT
ejpam-5845	504	42	open	open	ADJ
ejpam-5845	504	43	cover	cover	NOUN
ejpam-5845	504	44	of	of	ADP
ejpam-5845	504	45	(	(	PUNCT
ejpam-5845	504	46	θ̃	θ̃	PROPN
ejpam-5845	504	47	,	,	PUNCT
ejpam-5845	504	48	é	é	PROPN
ejpam-5845	504	49	)	)	PUNCT
ejpam-5845	504	50	is	be	AUX
ejpam-5845	504	51	reducible	reducible	ADJ
ejpam-5845	504	52	to	to	ADP
ejpam-5845	504	53	a	a	DET
ejpam-5845	504	54	finite	finite	ADJ
ejpam-5845	504	55	sub	sub	NOUN
ejpam-5845	504	56	-	-	NOUN
ejpam-5845	504	57	cover	cover	NOUN
ejpam-5845	504	58	.	.	PUNCT
ejpam-5845	505	1	if	if	SCONJ
ejpam-5845	505	2	we	we	PRON
ejpam-5845	505	3	can	can	AUX
ejpam-5845	505	4	find	find	VERB
ejpam-5845	505	5	a	a	DET
ejpam-5845	505	6	cover	cover	NOUN
ejpam-5845	505	7	of	of	ADP
ejpam-5845	505	8	(	(	PUNCT
ejpam-5845	505	9	θ̃	θ̃	PROPN
ejpam-5845	505	10	,	,	PUNCT
ejpam-5845	505	11	é	é	PROPN
ejpam-5845	505	12	)	)	PUNCT
ejpam-5845	505	13	that	that	PRON
ejpam-5845	505	14	can	can	AUX
ejpam-5845	505	15	not	not	PART
ejpam-5845	505	16	be	be	AUX
ejpam-5845	505	17	reduced	reduce	VERB
ejpam-5845	505	18	to	to	ADP
ejpam-5845	505	19	a	a	DET
ejpam-5845	505	20	finite	finite	ADJ
ejpam-5845	505	21	sub	sub	NOUN
ejpam-5845	505	22	-	-	ADJ
ejpam-5845	505	23	cover	cover	NOUN
ejpam-5845	505	24	,	,	PUNCT
ejpam-5845	505	25	then	then	ADV
ejpam-5845	505	26	we	we	PRON
ejpam-5845	505	27	say	say	VERB
ejpam-5845	505	28	that	that	SCONJ
ejpam-5845	505	29	(	(	PUNCT
ejpam-5845	505	30	θ̃	θ̃	NOUN
ejpam-5845	505	31	,	,	PUNCT
ejpam-5845	505	32	é	é	PROPN
ejpam-5845	505	33	)	)	PUNCT
ejpam-5845	505	34	is	be	AUX
ejpam-5845	505	35	not	not	PART
ejpam-5845	505	36	qpns	qpns	NOUN
ejpam-5845	505	37	p	p	NOUN
ejpam-5845	505	38	-	-	PUNCT
ejpam-5845	505	39	compact	compact	ADJ
ejpam-5845	505	40	.	.	PUNCT
ejpam-5845	506	1	similarly	similarly	ADV
ejpam-5845	506	2	,	,	PUNCT
ejpam-5845	506	3	if	if	SCONJ
ejpam-5845	506	4	every	every	DET
ejpam-5845	506	5	qpns	qpns	NOUN
ejpam-5845	506	6	p	p	NOUN
ejpam-5845	506	7	-	-	PUNCT
ejpam-5845	506	8	open	open	ADJ
ejpam-5845	506	9	cover	cover	NOUN
ejpam-5845	506	10	of	of	ADP
ejpam-5845	506	11	m	m	PROPN
ejpam-5845	506	12	is	be	AUX
ejpam-5845	506	13	reducible	reducible	ADJ
ejpam-5845	506	14	to	to	ADP
ejpam-5845	506	15	a	a	DET
ejpam-5845	506	16	finite	finite	ADJ
ejpam-5845	506	17	sub	sub	NOUN
ejpam-5845	506	18	-	-	ADJ
ejpam-5845	506	19	cover	cover	NOUN
ejpam-5845	506	20	,	,	PUNCT
ejpam-5845	506	21	then	then	ADV
ejpam-5845	506	22	we	we	PRON
ejpam-5845	506	23	say	say	VERB
ejpam-5845	506	24	that	that	SCONJ
ejpam-5845	506	25	m	m	PROPN
ejpam-5845	506	26	is	be	AUX
ejpam-5845	506	27	qpns	qpns	NOUN
ejpam-5845	506	28	compact	compact	ADJ
ejpam-5845	506	29	.	.	PUNCT
ejpam-5845	507	1	that	that	PRON
ejpam-5845	507	2	is	be	AUX
ejpam-5845	507	3	,	,	PUNCT
ejpam-5845	507	4	if	if	SCONJ
ejpam-5845	507	5	(	(	PUNCT
ejpam-5845	507	6	θ̃	θ̃	NOUN
ejpam-5845	507	7	,	,	PUNCT
ejpam-5845	507	8	é	é	PROPN
ejpam-5845	507	9	)	)	PUNCT
ejpam-5845	507	10	=	=	PRON
ejpam-5845	507	11	{	{	PUNCT
ejpam-5845	507	12	(	(	PUNCT
ejpam-5845	507	13	υ̃	υ̃	PROPN
ejpam-5845	507	14	,	,	PUNCT
ejpam-5845	507	15	é)i	é)i	X
ejpam-5845	507	16	:	:	PUNCT
ejpam-5845	507	17	i	i	PROPN
ejpam-5845	507	18	∈	∈	VERB
ejpam-5845	507	19	ĩ	ĩ	PROPN
ejpam-5845	507	20	}	}	PUNCT
ejpam-5845	507	21	m.	m.	NOUN
ejpam-5845	507	22	m.	m.	PROPN
ejpam-5845	507	23	saeed	saeed	PROPN
ejpam-5845	507	24	et	et	PROPN
ejpam-5845	507	25	al	al	PROPN
ejpam-5845	507	26	.	.	PUNCT
ejpam-5845	507	27	/	/	SYM
ejpam-5845	507	28	eur	eur	PROPN
ejpam-5845	507	29	.	.	PUNCT
ejpam-5845	508	1	j.	j.	PROPN
ejpam-5845	508	2	pure	pure	PROPN
ejpam-5845	508	3	appl	appl	PROPN
ejpam-5845	508	4	.	.	PROPN
ejpam-5845	508	5	math	math	PROPN
ejpam-5845	508	6	,	,	PUNCT
ejpam-5845	508	7	18	18	NUM
ejpam-5845	508	8	(	(	PUNCT
ejpam-5845	508	9	2	2	NUM
ejpam-5845	508	10	)	)	PUNCT
ejpam-5845	508	11	(	(	PUNCT
ejpam-5845	508	12	2025	2025	NUM
ejpam-5845	508	13	)	)	PUNCT
ejpam-5845	508	14	,	,	PUNCT
ejpam-5845	508	15	5845	5845	NUM
ejpam-5845	508	16	21	21	NUM
ejpam-5845	508	17	of	of	ADP
ejpam-5845	508	18	32	32	NUM
ejpam-5845	508	19	and	and	CCONJ
ejpam-5845	508	20	(	(	PUNCT
ejpam-5845	508	21	θ̃	θ̃	PROPN
ejpam-5845	508	22	,	,	PUNCT
ejpam-5845	508	23	é	é	PROPN
ejpam-5845	508	24	)	)	PUNCT
ejpam-5845	508	25	⊆	⊆	NUM
ejpam-5845	508	26	⋓̃i∈ĩ(υ̃	⋓̃i∈ĩ(υ̃	NUM
ejpam-5845	508	27	,	,	PUNCT
ejpam-5845	508	28	é)i	é)i	NOUN
ejpam-5845	508	29	,	,	PUNCT
ejpam-5845	508	30	then	then	ADV
ejpam-5845	508	31	if	if	SCONJ
ejpam-5845	508	32	we	we	PRON
ejpam-5845	508	33	can	can	AUX
ejpam-5845	508	34	write	write	VERB
ejpam-5845	508	35	(	(	PUNCT
ejpam-5845	508	36	θ̃	θ̃	PROPN
ejpam-5845	508	37	,	,	PUNCT
ejpam-5845	508	38	é	é	PROPN
ejpam-5845	508	39	)	)	PUNCT
ejpam-5845	508	40	⊆	⊆	NUM
ejpam-5845	508	41	⋓̃k	⋓̃k	NOUN
ejpam-5845	508	42	n=1(υ̃	n=1(υ̃	VERB
ejpam-5845	508	43	,	,	PUNCT
ejpam-5845	508	44	é)in	é)in	ADJ
ejpam-5845	508	45	,	,	PUNCT
ejpam-5845	508	46	or	or	CCONJ
ejpam-5845	508	47	equivalently	equivalently	ADV
ejpam-5845	508	48	,	,	PUNCT
ejpam-5845	508	49	(	(	PUNCT
ejpam-5845	508	50	θ̃	θ̃	PROPN
ejpam-5845	508	51	,	,	PUNCT
ejpam-5845	508	52	é	é	PROPN
ejpam-5845	508	53	)	)	PUNCT
ejpam-5845	508	54	⊆	⊆	NUM
ejpam-5845	508	55	(	(	PUNCT
ejpam-5845	508	56	υ̃	υ̃	PROPN
ejpam-5845	508	57	,	,	PUNCT
ejpam-5845	508	58	é)i1	é)i1	NOUN
ejpam-5845	508	59	⋓	⋓	NOUN
ejpam-5845	508	60	(	(	PUNCT
ejpam-5845	508	61	υ̃	υ̃	PROPN
ejpam-5845	508	62	,	,	PUNCT
ejpam-5845	508	63	é)i2	é)i2	PROPN
ejpam-5845	508	64	⋓	⋓	NOUN
ejpam-5845	508	65	(	(	PUNCT
ejpam-5845	508	66	υ̃	υ̃	PROPN
ejpam-5845	508	67	,	,	PUNCT
ejpam-5845	508	68	é)i3	é)i3	PROPN
ejpam-5845	508	69	⋓	⋓	NOUN
ejpam-5845	508	70	·	·	PUNCT
ejpam-5845	509	1	·	·	PUNCT
ejpam-5845	509	2	·	·	PUNCT
ejpam-5845	509	3	⋓	⋓	NOUN
ejpam-5845	509	4	(	(	PUNCT
ejpam-5845	509	5	υ̃	υ̃	PROPN
ejpam-5845	509	6	,	,	PUNCT
ejpam-5845	509	7	é)ik	é)ik	INTJ
ejpam-5845	509	8	,	,	PUNCT
ejpam-5845	509	9	then	then	ADV
ejpam-5845	509	10	(	(	PUNCT
ejpam-5845	509	11	θ̃	θ̃	PROPN
ejpam-5845	509	12	,	,	PUNCT
ejpam-5845	509	13	é	é	PROPN
ejpam-5845	509	14	)	)	PUNCT
ejpam-5845	509	15	is	be	AUX
ejpam-5845	509	16	qpns	qpns	NOUN
ejpam-5845	509	17	compact	compact	ADJ
ejpam-5845	509	18	.	.	PUNCT
ejpam-5845	510	1	definition	definition	NOUN
ejpam-5845	510	2	34	34	NUM
ejpam-5845	510	3	.	.	PUNCT
ejpam-5845	511	1	if	if	SCONJ
ejpam-5845	511	2	m̃	m̃	PROPN
ejpam-5845	511	3	is	be	AUX
ejpam-5845	511	4	a	a	DET
ejpam-5845	511	5	qpns	qpns	NOUN
ejpam-5845	511	6	,	,	PUNCT
ejpam-5845	511	7	the	the	DET
ejpam-5845	511	8	collection	collection	NOUN
ejpam-5845	511	9	of	of	ADP
ejpam-5845	511	10	qpns	qpns	NOUN
ejpam-5845	511	11	subsets	subset	NOUN
ejpam-5845	511	12	of	of	ADP
ejpam-5845	511	13	m̃	m̃	PROPN
ejpam-5845	511	14	,	,	PUNCT
ejpam-5845	511	15	say	say	VERB
ejpam-5845	511	16	{	{	PUNCT
ejpam-5845	511	17	(	(	PUNCT
ejpam-5845	511	18	θ̃	θ̃	PROPN
ejpam-5845	511	19	,	,	PUNCT
ejpam-5845	511	20	é)α	é)α	X
ejpam-5845	511	21	:	:	PUNCT
ejpam-5845	511	22	α	α	PROPN
ejpam-5845	511	23	∈	∈	PROPN
ejpam-5845	511	24	i	i	X
ejpam-5845	511	25	}	}	PUNCT
ejpam-5845	511	26	,	,	PUNCT
ejpam-5845	511	27	is	be	AUX
ejpam-5845	511	28	said	say	VERB
ejpam-5845	511	29	to	to	PART
ejpam-5845	511	30	have	have	VERB
ejpam-5845	511	31	the	the	DET
ejpam-5845	511	32	finite	finite	ADJ
ejpam-5845	511	33	intersection	intersection	NOUN
ejpam-5845	511	34	property	property	NOUN
ejpam-5845	511	35	if	if	SCONJ
ejpam-5845	511	36	we	we	PRON
ejpam-5845	511	37	can	can	AUX
ejpam-5845	511	38	find	find	VERB
ejpam-5845	511	39	a	a	DET
ejpam-5845	511	40	finite	finite	ADJ
ejpam-5845	511	41	soft	soft	ADJ
ejpam-5845	511	42	qpns	qpns	NOUN
ejpam-5845	511	43	sub	sub	NOUN
ejpam-5845	511	44	-	-	NOUN
ejpam-5845	511	45	collection	collection	NOUN
ejpam-5845	511	46	{	{	PUNCT
ejpam-5845	511	47	(	(	PUNCT
ejpam-5845	511	48	θ̃	θ̃	PROPN
ejpam-5845	511	49	,	,	PUNCT
ejpam-5845	511	50	é)α1	é)α1	NOUN
ejpam-5845	511	51	,	,	PUNCT
ejpam-5845	511	52	(	(	PUNCT
ejpam-5845	511	53	θ̃	θ̃	NOUN
ejpam-5845	511	54	,	,	PUNCT
ejpam-5845	511	55	é)α2	é)α2	ADJ
ejpam-5845	511	56	,	,	PUNCT
ejpam-5845	511	57	(	(	PUNCT
ejpam-5845	511	58	θ̃	θ̃	NOUN
ejpam-5845	511	59	,	,	PUNCT
ejpam-5845	511	60	é)α3	é)α3	NOUN
ejpam-5845	511	61	,	,	PUNCT
ejpam-5845	511	62	.	.	PUNCT
ejpam-5845	511	63	.	.	PUNCT
ejpam-5845	511	64	.	.	PUNCT
ejpam-5845	512	1	,	,	PUNCT
ejpam-5845	512	2	(	(	PUNCT
ejpam-5845	512	3	θ̃	θ̃	NOUN
ejpam-5845	512	4	,	,	PUNCT
ejpam-5845	512	5	é)αn	é)αn	ADV
ejpam-5845	512	6	}	}	PUNCT
ejpam-5845	512	7	such	such	ADJ
ejpam-5845	512	8	that	that	SCONJ
ejpam-5845	512	9	(	(	PUNCT
ejpam-5845	512	10	θ̃	θ̃	NOUN
ejpam-5845	512	11	,	,	PUNCT
ejpam-5845	512	12	é)α1⋒̃(θ̃	é)α1⋒̃(θ̃	NOUN
ejpam-5845	512	13	,	,	PUNCT
ejpam-5845	512	14	é)α2⋒̃(θ̃	é)α2⋒̃(θ̃	NOUN
ejpam-5845	512	15	,	,	PUNCT
ejpam-5845	512	16	é)α3⋒̃	é)α3⋒̃	NOUN
ejpam-5845	512	17	.	.	PUNCT
ejpam-5845	512	18	.	.	PUNCT
ejpam-5845	512	19	.	.	PUNCT
ejpam-5845	513	1	⋒̃(θ̃	⋒̃(θ̃	NOUN
ejpam-5845	513	2	,	,	PUNCT
ejpam-5845	513	3	é)αn	é)αn	X
ejpam-5845	513	4	̸=	̸=	PROPN
ejpam-5845	513	5	φ̃	φ̃	PROPN
ejpam-5845	513	6	or	or	CCONJ
ejpam-5845	513	7	equivalently	equivalently	ADV
ejpam-5845	513	8	,	,	PUNCT
ejpam-5845	513	9	n⋂	n⋂	VERB
ejpam-5845	513	10	i=1	i=1	PROPN
ejpam-5845	513	11	(	(	PUNCT
ejpam-5845	513	12	θ̃	θ̃	PROPN
ejpam-5845	513	13	,	,	PUNCT
ejpam-5845	513	14	é)αi	é)αi	NOUN
ejpam-5845	513	15	̸=	̸=	PROPN
ejpam-5845	513	16	φ̃.	φ̃.	PROPN
ejpam-5845	513	17	theorem	theorem	VERB
ejpam-5845	513	18	11	11	NUM
ejpam-5845	513	19	.	.	PUNCT
ejpam-5845	514	1	suppose	suppose	VERB
ejpam-5845	514	2	(	(	PUNCT
ejpam-5845	514	3	m̃	m̃	PROPN
ejpam-5845	514	4	,	,	PUNCT
ejpam-5845	514	5	τ1	τ1	NOUN
ejpam-5845	514	6	,	,	PUNCT
ejpam-5845	514	7	τ2	τ2	PROPN
ejpam-5845	514	8	,	,	PUNCT
ejpam-5845	514	9	é	é	PROPN
ejpam-5845	514	10	)	)	PUNCT
ejpam-5845	514	11	is	be	AUX
ejpam-5845	514	12	qpns	qpns	NOUN
ejpam-5845	514	13	p	p	ADJ
ejpam-5845	514	14	-	-	PUNCT
ejpam-5845	514	15	compact	compact	ADJ
ejpam-5845	514	16	if	if	SCONJ
ejpam-5845	515	1	and	and	CCONJ
ejpam-5845	515	2	only	only	ADV
ejpam-5845	515	3	if	if	SCONJ
ejpam-5845	515	4	each	each	DET
ejpam-5845	515	5	class	class	NOUN
ejpam-5845	515	6	of	of	ADP
ejpam-5845	515	7	qpns	qpns	NOUN
ejpam-5845	515	8	p	p	NOUN
ejpam-5845	515	9	-	-	PUNCT
ejpam-5845	515	10	closed	close	VERB
ejpam-5845	515	11	sets	set	NOUN
ejpam-5845	515	12	with	with	ADP
ejpam-5845	515	13	the	the	DET
ejpam-5845	515	14	finite	finite	ADJ
ejpam-5845	515	15	intersection	intersection	NOUN
ejpam-5845	515	16	property	property	NOUN
ejpam-5845	515	17	has	have	VERB
ejpam-5845	515	18	a	a	DET
ejpam-5845	515	19	non	non	ADJ
ejpam-5845	515	20	-	-	ADJ
ejpam-5845	515	21	empty	empty	ADJ
ejpam-5845	515	22	intersection	intersection	NOUN
ejpam-5845	515	23	.	.	PUNCT
ejpam-5845	516	1	proof	proof	NOUN
ejpam-5845	516	2	.	.	PUNCT
ejpam-5845	517	1	if	if	SCONJ
ejpam-5845	517	2	(	(	PUNCT
ejpam-5845	517	3	m̃	m̃	PROPN
ejpam-5845	517	4	,	,	PUNCT
ejpam-5845	517	5	τ1	τ1	NOUN
ejpam-5845	517	6	,	,	PUNCT
ejpam-5845	517	7	τ2	τ2	PROPN
ejpam-5845	517	8	,	,	PUNCT
ejpam-5845	517	9	é	é	PROPN
ejpam-5845	517	10	)	)	PUNCT
ejpam-5845	517	11	is	be	AUX
ejpam-5845	517	12	qpns	qpns	NOUN
ejpam-5845	517	13	p	p	NOUN
ejpam-5845	517	14	-	-	PUNCT
ejpam-5845	517	15	compact	compact	ADJ
ejpam-5845	517	16	,	,	PUNCT
ejpam-5845	517	17	we	we	PRON
ejpam-5845	517	18	need	need	VERB
ejpam-5845	517	19	to	to	PART
ejpam-5845	517	20	show	show	VERB
ejpam-5845	517	21	that	that	SCONJ
ejpam-5845	517	22	each	each	DET
ejpam-5845	517	23	class	class	NOUN
ejpam-5845	517	24	of	of	ADP
ejpam-5845	517	25	qpns	qpns	NOUN
ejpam-5845	517	26	p	p	NOUN
ejpam-5845	517	27	-	-	PUNCT
ejpam-5845	517	28	closed	close	VERB
ejpam-5845	517	29	sets	set	NOUN
ejpam-5845	517	30	with	with	ADP
ejpam-5845	517	31	the	the	DET
ejpam-5845	517	32	finite	finite	ADJ
ejpam-5845	517	33	intersection	intersection	NOUN
ejpam-5845	517	34	property	property	NOUN
ejpam-5845	517	35	has	have	VERB
ejpam-5845	517	36	a	a	DET
ejpam-5845	517	37	non	non	ADJ
ejpam-5845	517	38	-	-	ADJ
ejpam-5845	517	39	empty	empty	ADJ
ejpam-5845	517	40	intersection	intersection	NOUN
ejpam-5845	517	41	.	.	PUNCT
ejpam-5845	518	1	let	let	VERB
ejpam-5845	518	2	{	{	PUNCT
ejpam-5845	518	3	(	(	PUNCT
ejpam-5845	518	4	υ̃	υ̃	PROPN
ejpam-5845	518	5	,	,	PUNCT
ejpam-5845	518	6	é)α	é)α	X
ejpam-5845	518	7	:	:	PUNCT
ejpam-5845	518	8	α	α	PROPN
ejpam-5845	518	9	∈	∈	PROPN
ejpam-5845	519	1	i	i	PRON
ejpam-5845	519	2	}	}	PUNCT
ejpam-5845	519	3	be	be	VERB
ejpam-5845	519	4	a	a	DET
ejpam-5845	519	5	class	class	NOUN
ejpam-5845	519	6	of	of	ADP
ejpam-5845	519	7	qpns	qpns	NOUN
ejpam-5845	519	8	p	p	NOUN
ejpam-5845	519	9	-	-	PUNCT
ejpam-5845	519	10	closed	close	VERB
ejpam-5845	519	11	sets	set	NOUN
ejpam-5845	519	12	in	in	ADP
ejpam-5845	519	13	m̃	m̃	NOUN
ejpam-5845	519	14	satisfying	satisfy	VERB
ejpam-5845	519	15	the	the	DET
ejpam-5845	519	16	finite	finite	ADJ
ejpam-5845	519	17	intersection	intersection	NOUN
ejpam-5845	519	18	property	property	NOUN
ejpam-5845	519	19	,	,	PUNCT
ejpam-5845	519	20	i.e.	i.e.	X
ejpam-5845	519	21	,	,	PUNCT
ejpam-5845	519	22	n⋂	n⋂	VERB
ejpam-5845	519	23	i=1	i=1	PROPN
ejpam-5845	520	1	(	(	PUNCT
ejpam-5845	520	2	υ̃	υ̃	PROPN
ejpam-5845	520	3	,	,	PUNCT
ejpam-5845	520	4	é)αi	é)αi	NOUN
ejpam-5845	520	5	̸=	̸=	PROPN
ejpam-5845	520	6	φ̃.	φ̃.	PROPN
ejpam-5845	520	7	we	we	PRON
ejpam-5845	520	8	prove	prove	VERB
ejpam-5845	520	9	this	this	DET
ejpam-5845	520	10	result	result	NOUN
ejpam-5845	520	11	by	by	ADP
ejpam-5845	520	12	contradiction	contradiction	NOUN
ejpam-5845	520	13	.	.	PUNCT
ejpam-5845	521	1	suppose	suppose	VERB
ejpam-5845	521	2	n⋂	n⋂	PROPN
ejpam-5845	521	3	i=1	i=1	PROPN
ejpam-5845	522	1	(	(	PUNCT
ejpam-5845	522	2	υ̃	υ̃	PROPN
ejpam-5845	522	3	,	,	PUNCT
ejpam-5845	522	4	é)αi	é)αi	NOUN
ejpam-5845	522	5	=	=	PROPN
ejpam-5845	522	6	φ̃.	φ̃.	PROPN
ejpam-5845	523	1	this	this	PRON
ejpam-5845	523	2	implies	imply	VERB
ejpam-5845	523	3	that	that	SCONJ
ejpam-5845	523	4	(	(	PUNCT
ejpam-5845	523	5	n⋂	n⋂	NOUN
ejpam-5845	523	6	i=1	i=1	X
ejpam-5845	523	7	(	(	PUNCT
ejpam-5845	523	8	υ̃	υ̃	PROPN
ejpam-5845	523	9	,	,	PUNCT
ejpam-5845	523	10	é)αi	é)αi	NOUN
ejpam-5845	523	11	)	)	PUNCT
ejpam-5845	523	12	c	c	NOUN
ejpam-5845	523	13	=	=	SYM
ejpam-5845	523	14	φ̃c	φ̃c	X
ejpam-5845	523	15	.	.	PUNCT
ejpam-5845	523	16	which	which	PRON
ejpam-5845	523	17	further	far	ADV
ejpam-5845	523	18	leads	lead	VERB
ejpam-5845	523	19	to	to	ADP
ejpam-5845	523	20	(	(	PUNCT
ejpam-5845	523	21	n⋃	n⋃	PROPN
ejpam-5845	523	22	i=1	i=1	PROPN
ejpam-5845	523	23	(	(	PUNCT
ejpam-5845	523	24	υ̃	υ̃	PROPN
ejpam-5845	523	25	,	,	PUNCT
ejpam-5845	523	26	é)αi	é)αi	NOUN
ejpam-5845	523	27	)	)	PUNCT
ejpam-5845	523	28	c	c	NOUN
ejpam-5845	523	29	=	=	SYM
ejpam-5845	523	30	φ̃c	φ̃c	X
ejpam-5845	523	31	.	.	PUNCT
ejpam-5845	524	1	thus	thus	ADV
ejpam-5845	524	2	,	,	PUNCT
ejpam-5845	524	3	we	we	PRON
ejpam-5845	524	4	get	get	VERB
ejpam-5845	524	5	m̃	m̃	NOUN
ejpam-5845	524	6	=	=	SYM
ejpam-5845	524	7	(	(	PUNCT
ejpam-5845	524	8	n⋃	n⋃	PROPN
ejpam-5845	524	9	i=1	i=1	PROPN
ejpam-5845	524	10	(	(	PUNCT
ejpam-5845	524	11	υ̃	υ̃	PROPN
ejpam-5845	524	12	,	,	PUNCT
ejpam-5845	524	13	é)αi	é)αi	NOUN
ejpam-5845	524	14	)	)	PUNCT
ejpam-5845	524	15	c	c	NOUN
ejpam-5845	524	16	.	.	PUNCT
ejpam-5845	525	1	since	since	SCONJ
ejpam-5845	525	2	{	{	PUNCT
ejpam-5845	525	3	(	(	PUNCT
ejpam-5845	525	4	υ̃	υ̃	PROPN
ejpam-5845	525	5	,	,	PUNCT
ejpam-5845	525	6	é)α	é)α	X
ejpam-5845	525	7	:	:	PUNCT
ejpam-5845	525	8	α	α	PROPN
ejpam-5845	525	9	∈	∈	PROPN
ejpam-5845	525	10	i	i	PRON
ejpam-5845	525	11	}	}	PUNCT
ejpam-5845	525	12	is	be	AUX
ejpam-5845	525	13	a	a	DET
ejpam-5845	525	14	collection	collection	NOUN
ejpam-5845	525	15	of	of	ADP
ejpam-5845	525	16	qpns	qpns	NOUN
ejpam-5845	525	17	p	p	NOUN
ejpam-5845	525	18	-	-	PUNCT
ejpam-5845	525	19	closed	close	VERB
ejpam-5845	525	20	sets	set	NOUN
ejpam-5845	525	21	,	,	PUNCT
ejpam-5845	525	22	their	their	PRON
ejpam-5845	525	23	complements	complement	NOUN
ejpam-5845	525	24	{	{	PUNCT
ejpam-5845	525	25	(	(	PUNCT
ejpam-5845	525	26	υ̃	υ̃	PROPN
ejpam-5845	525	27	,	,	PUNCT
ejpam-5845	525	28	é)cα	é)cα	NOUN
ejpam-5845	525	29	}	}	PUNCT
ejpam-5845	525	30	form	form	VERB
ejpam-5845	525	31	a	a	DET
ejpam-5845	525	32	qpns	qpns	NOUN
ejpam-5845	525	33	p	p	NOUN
ejpam-5845	525	34	-	-	PUNCT
ejpam-5845	525	35	open	open	ADJ
ejpam-5845	525	36	cover	cover	NOUN
ejpam-5845	525	37	of	of	ADP
ejpam-5845	525	38	m̃.	m̃.	PROPN
ejpam-5845	525	39	but	but	CCONJ
ejpam-5845	525	40	m̃	m̃	PROPN
ejpam-5845	525	41	is	be	AUX
ejpam-5845	525	42	given	give	VERB
ejpam-5845	525	43	to	to	PART
ejpam-5845	525	44	be	be	AUX
ejpam-5845	525	45	qpns	qpns	NOUN
ejpam-5845	525	46	p	p	NOUN
ejpam-5845	525	47	-	-	PUNCT
ejpam-5845	525	48	compact	compact	ADJ
ejpam-5845	525	49	,	,	PUNCT
ejpam-5845	525	50	so	so	CCONJ
ejpam-5845	525	51	the	the	DET
ejpam-5845	525	52	above	above	ADJ
ejpam-5845	525	53	qpns	qpns	NOUN
ejpam-5845	525	54	p	p	X
ejpam-5845	525	55	-	-	PUNCT
ejpam-5845	525	56	open	open	ADJ
ejpam-5845	525	57	cover	cover	NOUN
ejpam-5845	525	58	must	must	AUX
ejpam-5845	525	59	be	be	AUX
ejpam-5845	525	60	reducible	reducible	ADJ
ejpam-5845	525	61	to	to	ADP
ejpam-5845	525	62	a	a	DET
ejpam-5845	525	63	finite	finite	ADJ
ejpam-5845	525	64	sub	sub	ADJ
ejpam-5845	525	65	-	-	ADJ
ejpam-5845	525	66	cover	cover	ADJ
ejpam-5845	525	67	,	,	PUNCT
ejpam-5845	525	68	meaning	mean	VERB
ejpam-5845	525	69	m̃	m̃	PROPN
ejpam-5845	525	70	=	=	SYM
ejpam-5845	525	71	n⋃	n⋃	X
ejpam-5845	525	72	k=1	k=1	X
ejpam-5845	525	73	(	(	PUNCT
ejpam-5845	525	74	υ̃	υ̃	PROPN
ejpam-5845	525	75	,	,	PUNCT
ejpam-5845	525	76	é)cik	é)cik	X
ejpam-5845	525	77	.	.	PUNCT
ejpam-5845	526	1	m.	m.	NOUN
ejpam-5845	526	2	m.	m.	PROPN
ejpam-5845	526	3	saeed	saeed	PROPN
ejpam-5845	526	4	et	et	PROPN
ejpam-5845	526	5	al	al	PROPN
ejpam-5845	526	6	.	.	PUNCT
ejpam-5845	526	7	/	/	SYM
ejpam-5845	526	8	eur	eur	PROPN
ejpam-5845	526	9	.	.	PUNCT
ejpam-5845	527	1	j.	j.	PROPN
ejpam-5845	527	2	pure	pure	PROPN
ejpam-5845	527	3	appl	appl	PROPN
ejpam-5845	527	4	.	.	PROPN
ejpam-5845	527	5	math	math	PROPN
ejpam-5845	527	6	,	,	PUNCT
ejpam-5845	527	7	18	18	NUM
ejpam-5845	527	8	(	(	PUNCT
ejpam-5845	527	9	2	2	NUM
ejpam-5845	527	10	)	)	PUNCT
ejpam-5845	527	11	(	(	PUNCT
ejpam-5845	527	12	2025	2025	NUM
ejpam-5845	527	13	)	)	PUNCT
ejpam-5845	527	14	,	,	PUNCT
ejpam-5845	527	15	5845	5845	NUM
ejpam-5845	527	16	22	22	NUM
ejpam-5845	527	17	of	of	ADP
ejpam-5845	527	18	32	32	NUM
ejpam-5845	527	19	this	this	PRON
ejpam-5845	527	20	implies	imply	VERB
ejpam-5845	527	21	(	(	PUNCT
ejpam-5845	527	22	n⋂	n⋂	NOUN
ejpam-5845	527	23	i=1	i=1	PROPN
ejpam-5845	527	24	(	(	PUNCT
ejpam-5845	527	25	υ̃	υ̃	PROPN
ejpam-5845	527	26	,	,	PUNCT
ejpam-5845	527	27	é)ik	é)ik	NOUN
ejpam-5845	527	28	)	)	PUNCT
ejpam-5845	527	29	c	c	NOUN
ejpam-5845	527	30	=	=	SYM
ejpam-5845	527	31	m̃c	m̃c	PROPN
ejpam-5845	527	32	.	.	PROPN
ejpam-5845	528	1	which	which	PRON
ejpam-5845	528	2	further	far	ADV
ejpam-5845	528	3	implies	imply	VERB
ejpam-5845	528	4	[	[	X
ejpam-5845	528	5	(	(	PUNCT
ejpam-5845	528	6	n⋂	n⋂	INTJ
ejpam-5845	528	7	k=1	k=1	X
ejpam-5845	528	8	(	(	PUNCT
ejpam-5845	528	9	υ̃	υ̃	PROPN
ejpam-5845	528	10	,	,	PUNCT
ejpam-5845	528	11	é)ik	é)ik	NOUN
ejpam-5845	528	12	)	)	PUNCT
ejpam-5845	528	13	c]c	c]c	NOUN
ejpam-5845	528	14	=	=	SYM
ejpam-5845	528	15	φ̃.	φ̃.	PROPN
ejpam-5845	528	16	thus	thus	ADV
ejpam-5845	528	17	,	,	PUNCT
ejpam-5845	528	18	n⋂	n⋂	ADV
ejpam-5845	528	19	k=1	k=1	X
ejpam-5845	528	20	(	(	PUNCT
ejpam-5845	528	21	υ̃	υ̃	PROPN
ejpam-5845	528	22	,	,	PUNCT
ejpam-5845	528	23	é)ik	é)ik	NOUN
ejpam-5845	528	24	=	=	PUNCT
ejpam-5845	528	25	φ̃	φ̃	PROPN
ejpam-5845	528	26	,	,	PUNCT
ejpam-5845	528	27	which	which	PRON
ejpam-5845	528	28	contradicts	contradict	VERB
ejpam-5845	528	29	the	the	DET
ejpam-5845	528	30	finite	finite	ADJ
ejpam-5845	528	31	intersection	intersection	NOUN
ejpam-5845	528	32	property	property	NOUN
ejpam-5845	528	33	.	.	PUNCT
ejpam-5845	529	1	hence	hence	ADV
ejpam-5845	529	2	,	,	PUNCT
ejpam-5845	529	3	n⋂	n⋂	VERB
ejpam-5845	529	4	i=1	i=1	PROPN
ejpam-5845	530	1	(	(	PUNCT
ejpam-5845	530	2	υ̃	υ̃	PROPN
ejpam-5845	530	3	,	,	PUNCT
ejpam-5845	530	4	é)αi	é)αi	NOUN
ejpam-5845	530	5	̸=	̸=	PROPN
ejpam-5845	530	6	φ̃.	φ̃.	PROPN
ejpam-5845	530	7	conversely	conversely	ADV
ejpam-5845	530	8	,	,	PUNCT
ejpam-5845	530	9	suppose	suppose	VERB
ejpam-5845	530	10	each	each	DET
ejpam-5845	530	11	class	class	NOUN
ejpam-5845	530	12	of	of	ADP
ejpam-5845	530	13	qpns	qpns	NOUN
ejpam-5845	530	14	p	p	NOUN
ejpam-5845	530	15	-	-	PUNCT
ejpam-5845	530	16	closed	close	VERB
ejpam-5845	530	17	sets	set	NOUN
ejpam-5845	530	18	with	with	ADP
ejpam-5845	530	19	the	the	DET
ejpam-5845	530	20	finite	finite	ADJ
ejpam-5845	530	21	intersection	intersection	NOUN
ejpam-5845	530	22	property	property	NOUN
ejpam-5845	530	23	has	have	VERB
ejpam-5845	530	24	a	a	DET
ejpam-5845	530	25	non	non	ADJ
ejpam-5845	530	26	-	-	ADJ
ejpam-5845	530	27	empty	empty	ADJ
ejpam-5845	530	28	intersection	intersection	NOUN
ejpam-5845	530	29	.	.	PUNCT
ejpam-5845	531	1	we	we	PRON
ejpam-5845	531	2	now	now	ADV
ejpam-5845	531	3	prove	prove	VERB
ejpam-5845	531	4	that	that	SCONJ
ejpam-5845	531	5	m̃	m̃	PROPN
ejpam-5845	531	6	is	be	AUX
ejpam-5845	531	7	qpns	qpns	NOUN
ejpam-5845	531	8	p	p	ADJ
ejpam-5845	531	9	-	-	PUNCT
ejpam-5845	531	10	compact	compact	ADJ
ejpam-5845	531	11	using	use	VERB
ejpam-5845	531	12	a	a	DET
ejpam-5845	531	13	contradiction	contradiction	NOUN
ejpam-5845	531	14	.	.	PUNCT
ejpam-5845	532	1	assume	assume	VERB
ejpam-5845	532	2	that	that	SCONJ
ejpam-5845	532	3	m̃	m̃	PROPN
ejpam-5845	532	4	is	be	AUX
ejpam-5845	532	5	not	not	PART
ejpam-5845	532	6	qpns	qpns	NOUN
ejpam-5845	532	7	p	p	NOUN
ejpam-5845	532	8	-	-	PUNCT
ejpam-5845	532	9	compact	compact	ADJ
ejpam-5845	532	10	.	.	PUNCT
ejpam-5845	533	1	then	then	ADV
ejpam-5845	533	2	,	,	PUNCT
ejpam-5845	533	3	there	there	PRON
ejpam-5845	533	4	exists	exist	VERB
ejpam-5845	533	5	at	at	ADP
ejpam-5845	533	6	least	least	ADV
ejpam-5845	533	7	one	one	NUM
ejpam-5845	533	8	qpns	qpns	NOUN
ejpam-5845	533	9	p	p	NOUN
ejpam-5845	533	10	-	-	PUNCT
ejpam-5845	533	11	open	open	ADJ
ejpam-5845	533	12	cover	cover	NOUN
ejpam-5845	533	13	of	of	ADP
ejpam-5845	533	14	m̃	m̃	PROPN
ejpam-5845	533	15	that	that	PRON
ejpam-5845	533	16	is	be	AUX
ejpam-5845	533	17	not	not	PART
ejpam-5845	533	18	reducible	reducible	ADJ
ejpam-5845	533	19	to	to	ADP
ejpam-5845	533	20	a	a	DET
ejpam-5845	533	21	finite	finite	ADJ
ejpam-5845	533	22	sub	sub	NOUN
ejpam-5845	533	23	-	-	NOUN
ejpam-5845	533	24	cover	cover	NOUN
ejpam-5845	533	25	.	.	PUNCT
ejpam-5845	534	1	let	let	VERB
ejpam-5845	534	2	this	this	DET
ejpam-5845	534	3	qpns	qpns	NOUN
ejpam-5845	534	4	p	p	VERB
ejpam-5845	534	5	-	-	PUNCT
ejpam-5845	534	6	open	open	ADJ
ejpam-5845	534	7	cover	cover	NOUN
ejpam-5845	534	8	be	be	AUX
ejpam-5845	534	9	{	{	PUNCT
ejpam-5845	534	10	(	(	PUNCT
ejpam-5845	534	11	j̃	j̃	PROPN
ejpam-5845	534	12	,	,	PUNCT
ejpam-5845	534	13	é)i	é)i	X
ejpam-5845	534	14	:	:	PUNCT
ejpam-5845	534	15	i	i	PRON
ejpam-5845	534	16	∈	∈	PROPN
ejpam-5845	534	17	i	i	X
ejpam-5845	534	18	}	}	PUNCT
ejpam-5845	534	19	.	.	PUNCT
ejpam-5845	535	1	since	since	SCONJ
ejpam-5845	535	2	this	this	PRON
ejpam-5845	535	3	is	be	AUX
ejpam-5845	535	4	a	a	DET
ejpam-5845	535	5	qpns	qpns	NOUN
ejpam-5845	535	6	p	p	NOUN
ejpam-5845	535	7	-	-	PUNCT
ejpam-5845	535	8	open	open	ADJ
ejpam-5845	535	9	cover	cover	NOUN
ejpam-5845	535	10	of	of	ADP
ejpam-5845	535	11	m̃	m̃	PROPN
ejpam-5845	535	12	,	,	PUNCT
ejpam-5845	535	13	we	we	PRON
ejpam-5845	535	14	have	have	VERB
ejpam-5845	535	15	m̃	m̃	PROPN
ejpam-5845	535	16	=	=	SYM
ejpam-5845	535	17	⋃	⋃	ADP
ejpam-5845	536	1	i∈i	i∈i	NOUN
ejpam-5845	536	2	(	(	PUNCT
ejpam-5845	536	3	j̃	j̃	PROPN
ejpam-5845	536	4	,	,	PUNCT
ejpam-5845	536	5	é)i	é)i	PROPN
ejpam-5845	536	6	.	.	NOUN
ejpam-5845	536	7	however	however	ADV
ejpam-5845	536	8	,	,	PUNCT
ejpam-5845	536	9	by	by	ADP
ejpam-5845	536	10	assumption	assumption	NOUN
ejpam-5845	536	11	,	,	PUNCT
ejpam-5845	536	12	m̃	m̃	PROPN
ejpam-5845	536	13	=	=	SYM
ejpam-5845	536	14	̸	̸	ADV
ejpam-5845	536	15	m⋃	m⋃	NOUN
ejpam-5845	536	16	k=1	k=1	X
ejpam-5845	536	17	(	(	PUNCT
ejpam-5845	536	18	j̃	j̃	PROPN
ejpam-5845	536	19	,	,	PUNCT
ejpam-5845	536	20	é)ik	é)ik	PROPN
ejpam-5845	536	21	.	.	PUNCT
ejpam-5845	537	1	this	this	PRON
ejpam-5845	537	2	implies	imply	VERB
ejpam-5845	537	3	m⋂	m⋂	ADV
ejpam-5845	537	4	k=1	k=1	X
ejpam-5845	538	1	(	(	PUNCT
ejpam-5845	538	2	j̃	j̃	PROPN
ejpam-5845	538	3	,	,	PUNCT
ejpam-5845	538	4	é)cik	é)cik	ADJ
ejpam-5845	538	5	̸=	̸=	PROPN
ejpam-5845	538	6	φ̃.	φ̃.	PROPN
ejpam-5845	538	7	where	where	SCONJ
ejpam-5845	538	8	(	(	PUNCT
ejpam-5845	538	9	j̃	j̃	PROPN
ejpam-5845	538	10	,	,	PUNCT
ejpam-5845	538	11	é)cik	é)cik	X
ejpam-5845	538	12	are	be	AUX
ejpam-5845	538	13	qpns	qpns	NOUN
ejpam-5845	538	14	p	p	NOUN
ejpam-5845	538	15	-	-	PUNCT
ejpam-5845	538	16	closed	closed	ADJ
ejpam-5845	538	17	.	.	PUNCT
ejpam-5845	539	1	but	but	CCONJ
ejpam-5845	539	2	by	by	ADP
ejpam-5845	539	3	hypothesis,⋂	hypothesis,⋂	NOUN
ejpam-5845	539	4	i∈i	i∈i	NOUN
ejpam-5845	539	5	(	(	PUNCT
ejpam-5845	539	6	j̃	j̃	PROPN
ejpam-5845	539	7	,	,	PUNCT
ejpam-5845	539	8	é)ci	é)ci	CCONJ
ejpam-5845	539	9	̸=	̸=	PROPN
ejpam-5845	539	10	φ̃.	φ̃.	PROPN
ejpam-5845	539	11	which	which	PRON
ejpam-5845	539	12	contradicts	contradict	VERB
ejpam-5845	539	13	our	our	PRON
ejpam-5845	539	14	assumption	assumption	NOUN
ejpam-5845	539	15	.	.	PUNCT
ejpam-5845	540	1	therefore	therefore	ADV
ejpam-5845	540	2	,	,	PUNCT
ejpam-5845	540	3	m̃	m̃	PROPN
ejpam-5845	540	4	must	must	AUX
ejpam-5845	540	5	be	be	AUX
ejpam-5845	540	6	qpns	qpns	NOUN
ejpam-5845	540	7	p	p	NOUN
ejpam-5845	540	8	-	-	PUNCT
ejpam-5845	540	9	compact	compact	ADJ
ejpam-5845	540	10	.	.	PUNCT
ejpam-5845	541	1	theorem	theorem	NOUN
ejpam-5845	541	2	12	12	NUM
ejpam-5845	541	3	.	.	PUNCT
ejpam-5845	542	1	if	if	SCONJ
ejpam-5845	542	2	(	(	PUNCT
ejpam-5845	542	3	m̃	m̃	PROPN
ejpam-5845	542	4	,	,	PUNCT
ejpam-5845	542	5	τ1	τ1	NOUN
ejpam-5845	542	6	,	,	PUNCT
ejpam-5845	542	7	τ2	τ2	PROPN
ejpam-5845	542	8	,	,	PUNCT
ejpam-5845	542	9	é	é	PROPN
ejpam-5845	542	10	)	)	PUNCT
ejpam-5845	542	11	is	be	AUX
ejpam-5845	542	12	a	a	DET
ejpam-5845	542	13	qpnsts	qpnst	NOUN
ejpam-5845	542	14	and	and	CCONJ
ejpam-5845	542	15	a	a	DET
ejpam-5845	542	16	qpns	qpns	NOUN
ejpam-5845	542	17	p	p	NOUN
ejpam-5845	542	18	-	-	PUNCT
ejpam-5845	542	19	closed	closed	ADJ
ejpam-5845	542	20	subset	subset	NOUN
ejpam-5845	542	21	of	of	ADP
ejpam-5845	542	22	a	a	DET
ejpam-5845	542	23	qpns	qpns	NOUN
ejpam-5845	542	24	p	p	ADJ
ejpam-5845	542	25	-	-	PUNCT
ejpam-5845	542	26	compact	compact	ADJ
ejpam-5845	542	27	space	space	NOUN
ejpam-5845	542	28	,	,	PUNCT
ejpam-5845	542	29	then	then	ADV
ejpam-5845	542	30	it	it	PRON
ejpam-5845	542	31	is	be	AUX
ejpam-5845	542	32	also	also	ADV
ejpam-5845	542	33	qpns	qpns	NOUN
ejpam-5845	542	34	p	p	ADJ
ejpam-5845	542	35	-	-	PUNCT
ejpam-5845	542	36	compact	compact	ADJ
ejpam-5845	542	37	.	.	PUNCT
ejpam-5845	543	1	proof	proof	NOUN
ejpam-5845	543	2	.	.	PUNCT
ejpam-5845	544	1	suppose	suppose	VERB
ejpam-5845	544	2	that	that	SCONJ
ejpam-5845	544	3	(	(	PUNCT
ejpam-5845	544	4	m̃	m̃	PROPN
ejpam-5845	544	5	,	,	PUNCT
ejpam-5845	544	6	τ1	τ1	NOUN
ejpam-5845	544	7	,	,	PUNCT
ejpam-5845	544	8	τ2	τ2	PROPN
ejpam-5845	544	9	,	,	PUNCT
ejpam-5845	544	10	é	é	PROPN
ejpam-5845	544	11	)	)	PUNCT
ejpam-5845	544	12	is	be	AUX
ejpam-5845	544	13	a	a	DET
ejpam-5845	544	14	qpnsts	qpnst	NOUN
ejpam-5845	544	15	such	such	ADJ
ejpam-5845	544	16	that	that	SCONJ
ejpam-5845	544	17	it	it	PRON
ejpam-5845	544	18	is	be	AUX
ejpam-5845	544	19	qpns	qpns	NOUN
ejpam-5845	544	20	p	p	ADJ
ejpam-5845	544	21	-	-	PUNCT
ejpam-5845	544	22	compact	compact	ADJ
ejpam-5845	544	23	and	and	CCONJ
ejpam-5845	544	24	(	(	PUNCT
ejpam-5845	544	25	υ̃	υ̃	PROPN
ejpam-5845	544	26	,	,	PUNCT
ejpam-5845	544	27	é	é	PROPN
ejpam-5845	544	28	)	)	PUNCT
ejpam-5845	544	29	is	be	AUX
ejpam-5845	544	30	a	a	DET
ejpam-5845	544	31	qpns	qpns	NOUN
ejpam-5845	544	32	p	p	NOUN
ejpam-5845	544	33	-	-	PUNCT
ejpam-5845	544	34	closed	closed	ADJ
ejpam-5845	544	35	subset	subset	NOUN
ejpam-5845	544	36	of	of	ADP
ejpam-5845	544	37	m̃.	m̃.	PROPN
ejpam-5845	544	38	we	we	PRON
ejpam-5845	544	39	aim	aim	VERB
ejpam-5845	544	40	to	to	PART
ejpam-5845	544	41	show	show	VERB
ejpam-5845	544	42	that	that	SCONJ
ejpam-5845	544	43	(	(	PUNCT
ejpam-5845	544	44	υ̃	υ̃	PROPN
ejpam-5845	544	45	,	,	PUNCT
ejpam-5845	544	46	é	é	PROPN
ejpam-5845	544	47	)	)	PUNCT
ejpam-5845	544	48	is	be	AUX
ejpam-5845	544	49	also	also	ADV
ejpam-5845	544	50	qpns	qpns	NOUN
ejpam-5845	544	51	p	p	NOUN
ejpam-5845	544	52	-	-	PUNCT
ejpam-5845	544	53	compact	compact	ADJ
ejpam-5845	544	54	.	.	PUNCT
ejpam-5845	545	1	let	let	VERB
ejpam-5845	545	2	{	{	PUNCT
ejpam-5845	545	3	(	(	PUNCT
ejpam-5845	545	4	j̃	j̃	PROPN
ejpam-5845	545	5	,	,	PUNCT
ejpam-5845	545	6	é)i	é)i	X
ejpam-5845	545	7	:	:	PUNCT
ejpam-5845	545	8	i	i	PRON
ejpam-5845	545	9	∈	∈	PROPN
ejpam-5845	546	1	i	i	PRON
ejpam-5845	546	2	}	}	PUNCT
ejpam-5845	546	3	be	be	AUX
ejpam-5845	546	4	a	a	DET
ejpam-5845	546	5	qpns	qpns	NOUN
ejpam-5845	546	6	p	p	NOUN
ejpam-5845	546	7	-	-	PUNCT
ejpam-5845	546	8	open	open	ADJ
ejpam-5845	546	9	cover	cover	NOUN
ejpam-5845	546	10	of	of	ADP
ejpam-5845	546	11	(	(	PUNCT
ejpam-5845	546	12	υ̃	υ̃	PROPN
ejpam-5845	546	13	,	,	PUNCT
ejpam-5845	546	14	é	é	PROPN
ejpam-5845	546	15	)	)	PUNCT
ejpam-5845	546	16	.	.	PUNCT
ejpam-5845	547	1	that	that	PRON
ejpam-5845	547	2	is	be	AUX
ejpam-5845	547	3	,	,	PUNCT
ejpam-5845	547	4	(	(	PUNCT
ejpam-5845	547	5	υ̃	υ̃	PROPN
ejpam-5845	547	6	,	,	PUNCT
ejpam-5845	547	7	é	é	PROPN
ejpam-5845	547	8	)	)	PUNCT
ejpam-5845	547	9	⊆	⊆	NUM
ejpam-5845	547	10	⋃	⋃	NOUN
ejpam-5845	547	11	i∈i	i∈i	NOUN
ejpam-5845	547	12	(	(	PUNCT
ejpam-5845	547	13	j̃	j̃	PROPN
ejpam-5845	547	14	,	,	PUNCT
ejpam-5845	547	15	é)i	é)i	PROPN
ejpam-5845	547	16	.	.	PROPN
ejpam-5845	547	17	then	then	ADV
ejpam-5845	547	18	,	,	PUNCT
ejpam-5845	547	19	(	(	PUNCT
ejpam-5845	547	20	υ̃	υ̃	PROPN
ejpam-5845	547	21	,	,	PUNCT
ejpam-5845	547	22	é	é	PROPN
ejpam-5845	547	23	)	)	PUNCT
ejpam-5845	547	24	will	will	AUX
ejpam-5845	547	25	be	be	AUX
ejpam-5845	547	26	qpns	qpns	NOUN
ejpam-5845	547	27	p	p	NOUN
ejpam-5845	547	28	-	-	PUNCT
ejpam-5845	547	29	compact	compact	ADJ
ejpam-5845	547	30	if	if	SCONJ
ejpam-5845	547	31	this	this	DET
ejpam-5845	547	32	qpns	qpns	NOUN
ejpam-5845	547	33	p	p	NOUN
ejpam-5845	547	34	-	-	PUNCT
ejpam-5845	547	35	open	open	ADJ
ejpam-5845	547	36	cover	cover	NOUN
ejpam-5845	547	37	is	be	AUX
ejpam-5845	547	38	reducible	reducible	ADJ
ejpam-5845	547	39	to	to	ADP
ejpam-5845	547	40	a	a	DET
ejpam-5845	547	41	finite	finite	ADJ
ejpam-5845	547	42	qpns	qpns	NOUN
ejpam-5845	547	43	sub	sub	NOUN
ejpam-5845	547	44	-	-	ADJ
ejpam-5845	547	45	cover	cover	ADJ
ejpam-5845	547	46	.	.	PUNCT
ejpam-5845	548	1	m.	m.	NOUN
ejpam-5845	548	2	m.	m.	PROPN
ejpam-5845	548	3	saeed	saeed	PROPN
ejpam-5845	548	4	et	et	PROPN
ejpam-5845	548	5	al	al	PROPN
ejpam-5845	548	6	.	.	PUNCT
ejpam-5845	548	7	/	/	SYM
ejpam-5845	548	8	eur	eur	PROPN
ejpam-5845	548	9	.	.	PUNCT
ejpam-5845	549	1	j.	j.	PROPN
ejpam-5845	549	2	pure	pure	PROPN
ejpam-5845	549	3	appl	appl	PROPN
ejpam-5845	549	4	.	.	PROPN
ejpam-5845	549	5	math	math	PROPN
ejpam-5845	549	6	,	,	PUNCT
ejpam-5845	549	7	18	18	NUM
ejpam-5845	549	8	(	(	PUNCT
ejpam-5845	549	9	2	2	NUM
ejpam-5845	549	10	)	)	PUNCT
ejpam-5845	549	11	(	(	PUNCT
ejpam-5845	549	12	2025	2025	NUM
ejpam-5845	549	13	)	)	PUNCT
ejpam-5845	549	14	,	,	PUNCT
ejpam-5845	549	15	5845	5845	NUM
ejpam-5845	549	16	23	23	NUM
ejpam-5845	549	17	of	of	ADP
ejpam-5845	549	18	32	32	NUM
ejpam-5845	549	19	since	since	SCONJ
ejpam-5845	549	20	{	{	PUNCT
ejpam-5845	549	21	(	(	PUNCT
ejpam-5845	549	22	j̃	j̃	PROPN
ejpam-5845	549	23	,	,	PUNCT
ejpam-5845	549	24	é)i	é)i	X
ejpam-5845	549	25	:	:	PUNCT
ejpam-5845	549	26	i	i	PRON
ejpam-5845	549	27	∈	∈	PROPN
ejpam-5845	550	1	i	i	PRON
ejpam-5845	550	2	}	}	PUNCT
ejpam-5845	550	3	is	be	AUX
ejpam-5845	550	4	a	a	DET
ejpam-5845	550	5	qpns	qpns	NOUN
ejpam-5845	550	6	p	p	NOUN
ejpam-5845	550	7	-	-	PUNCT
ejpam-5845	550	8	open	open	ADJ
ejpam-5845	550	9	cover	cover	NOUN
ejpam-5845	550	10	of	of	ADP
ejpam-5845	550	11	(	(	PUNCT
ejpam-5845	550	12	υ̃	υ̃	PROPN
ejpam-5845	550	13	,	,	PUNCT
ejpam-5845	550	14	é	é	PROPN
ejpam-5845	550	15	)	)	PUNCT
ejpam-5845	550	16	,	,	PUNCT
ejpam-5845	550	17	we	we	PRON
ejpam-5845	550	18	have	have	VERB
ejpam-5845	550	19	:	:	PUNCT
ejpam-5845	550	20	(	(	PUNCT
ejpam-5845	550	21	υ̃	υ̃	PROPN
ejpam-5845	550	22	,	,	PUNCT
ejpam-5845	550	23	é	é	PROPN
ejpam-5845	550	24	)	)	PUNCT
ejpam-5845	550	25	⊆	⊆	NUM
ejpam-5845	550	26	⋃	⋃	NOUN
ejpam-5845	550	27	i∈i	i∈i	NOUN
ejpam-5845	550	28	(	(	PUNCT
ejpam-5845	550	29	j̃	j̃	PROPN
ejpam-5845	550	30	,	,	PUNCT
ejpam-5845	550	31	é)i	é)i	PROPN
ejpam-5845	550	32	.	.	PROPN
ejpam-5845	550	33	also	also	ADV
ejpam-5845	550	34	,	,	PUNCT
ejpam-5845	550	35	since	since	SCONJ
ejpam-5845	550	36	m̃	m̃	PROPN
ejpam-5845	550	37	can	can	AUX
ejpam-5845	550	38	be	be	AUX
ejpam-5845	550	39	expressed	express	VERB
ejpam-5845	550	40	as	as	ADP
ejpam-5845	550	41	the	the	DET
ejpam-5845	550	42	union	union	NOUN
ejpam-5845	550	43	of	of	ADP
ejpam-5845	550	44	(	(	PUNCT
ejpam-5845	550	45	υ̃	υ̃	PROPN
ejpam-5845	550	46	,	,	PUNCT
ejpam-5845	550	47	é	é	PROPN
ejpam-5845	550	48	)	)	PUNCT
ejpam-5845	550	49	and	and	CCONJ
ejpam-5845	550	50	its	its	PRON
ejpam-5845	550	51	qpns	qpns	NOUN
ejpam-5845	550	52	p	p	NOUN
ejpam-5845	550	53	-	-	PUNCT
ejpam-5845	550	54	complement	complement	NOUN
ejpam-5845	550	55	(	(	PUNCT
ejpam-5845	550	56	υ̃	υ̃	PROPN
ejpam-5845	550	57	,	,	PUNCT
ejpam-5845	550	58	é)c	é)c	NOUN
ejpam-5845	550	59	,	,	PUNCT
ejpam-5845	550	60	we	we	PRON
ejpam-5845	550	61	obtain	obtain	VERB
ejpam-5845	550	62	:	:	PUNCT
ejpam-5845	550	63	m̃	m̃	PROPN
ejpam-5845	550	64	=	=	SYM
ejpam-5845	550	65	(	(	PUNCT
ejpam-5845	550	66	υ̃	υ̃	PROPN
ejpam-5845	550	67	,	,	PUNCT
ejpam-5845	550	68	é	é	PROPN
ejpam-5845	550	69	)	)	PUNCT
ejpam-5845	550	70	⋓	⋓	NOUN
ejpam-5845	550	71	(	(	PUNCT
ejpam-5845	550	72	υ̃	υ̃	PROPN
ejpam-5845	550	73	,	,	PUNCT
ejpam-5845	550	74	é)c	é)c	NOUN
ejpam-5845	550	75	.	.	PROPN
ejpam-5845	550	76	thus	thus	ADV
ejpam-5845	550	77	,	,	PUNCT
ejpam-5845	550	78	taking	take	VERB
ejpam-5845	550	79	the	the	DET
ejpam-5845	550	80	union	union	NOUN
ejpam-5845	550	81	with	with	ADP
ejpam-5845	550	82	(	(	PUNCT
ejpam-5845	550	83	υ̃	υ̃	PROPN
ejpam-5845	550	84	,	,	PUNCT
ejpam-5845	550	85	é)c	é)c	ADP
ejpam-5845	550	86	on	on	ADP
ejpam-5845	550	87	both	both	DET
ejpam-5845	550	88	sides	side	NOUN
ejpam-5845	550	89	,	,	PUNCT
ejpam-5845	550	90	we	we	PRON
ejpam-5845	550	91	get	get	VERB
ejpam-5845	550	92	:	:	PUNCT
ejpam-5845	550	93	(	(	PUNCT
ejpam-5845	550	94	υ̃	υ̃	PROPN
ejpam-5845	550	95	,	,	PUNCT
ejpam-5845	550	96	é	é	PROPN
ejpam-5845	550	97	)	)	PUNCT
ejpam-5845	550	98	⋓	⋓	NOUN
ejpam-5845	550	99	(	(	PUNCT
ejpam-5845	550	100	υ̃	υ̃	PROPN
ejpam-5845	550	101	,	,	PUNCT
ejpam-5845	550	102	é)c	é)c	ADP
ejpam-5845	550	103	⊆	⊆	NUM
ejpam-5845	550	104	(	(	PUNCT
ejpam-5845	550	105	⋃	⋃	NOUN
ejpam-5845	550	106	i∈i	i∈i	NOUN
ejpam-5845	550	107	(	(	PUNCT
ejpam-5845	550	108	j̃	j̃	PROPN
ejpam-5845	550	109	,	,	PUNCT
ejpam-5845	550	110	é)i	é)i	PROPN
ejpam-5845	550	111	)	)	PUNCT
ejpam-5845	550	112	⋓	⋓	NOUN
ejpam-5845	550	113	(	(	PUNCT
ejpam-5845	550	114	υ̃	υ̃	PROPN
ejpam-5845	550	115	,	,	PUNCT
ejpam-5845	550	116	é)c	é)c	PROPN
ejpam-5845	550	117	.	.	PUNCT
ejpam-5845	551	1	since	since	SCONJ
ejpam-5845	551	2	(	(	PUNCT
ejpam-5845	551	3	υ̃	υ̃	PROPN
ejpam-5845	551	4	,	,	PUNCT
ejpam-5845	551	5	é)c	é)c	X
ejpam-5845	551	6	is	be	AUX
ejpam-5845	551	7	qpns	qpns	NOUN
ejpam-5845	551	8	p	p	NOUN
ejpam-5845	551	9	-	-	PUNCT
ejpam-5845	551	10	open	open	ADJ
ejpam-5845	551	11	(	(	PUNCT
ejpam-5845	551	12	because	because	SCONJ
ejpam-5845	551	13	(	(	PUNCT
ejpam-5845	551	14	υ̃	υ̃	PROPN
ejpam-5845	551	15	,	,	PUNCT
ejpam-5845	551	16	é	é	PROPN
ejpam-5845	551	17	)	)	PUNCT
ejpam-5845	551	18	is	be	AUX
ejpam-5845	551	19	given	give	VERB
ejpam-5845	551	20	to	to	PART
ejpam-5845	551	21	be	be	AUX
ejpam-5845	551	22	qpns	qpns	NOUN
ejpam-5845	551	23	p	p	NOUN
ejpam-5845	551	24	-	-	PUNCT
ejpam-5845	551	25	closed	closed	ADJ
ejpam-5845	551	26	)	)	PUNCT
ejpam-5845	551	27	,	,	PUNCT
ejpam-5845	551	28	the	the	DET
ejpam-5845	551	29	family	family	NOUN
ejpam-5845	551	30	{	{	PUNCT
ejpam-5845	551	31	(	(	PUNCT
ejpam-5845	551	32	j̃	j̃	PROPN
ejpam-5845	551	33	,	,	PUNCT
ejpam-5845	551	34	é)i	é)i	X
ejpam-5845	551	35	:	:	PUNCT
ejpam-5845	551	36	i	i	PRON
ejpam-5845	551	37	∈	∈	VERB
ejpam-5845	551	38	i	i	PRON
ejpam-5845	551	39	}	}	PUNCT
ejpam-5845	551	40	⋓	⋓	NOUN
ejpam-5845	551	41	{	{	PUNCT
ejpam-5845	551	42	(	(	PUNCT
ejpam-5845	551	43	υ̃	υ̃	PROPN
ejpam-5845	551	44	,	,	PUNCT
ejpam-5845	551	45	é)c	é)c	ADP
ejpam-5845	551	46	}	}	PUNCT
ejpam-5845	551	47	forms	form	VERB
ejpam-5845	551	48	a	a	DET
ejpam-5845	551	49	qpns	qpns	NOUN
ejpam-5845	551	50	p	p	NOUN
ejpam-5845	551	51	-	-	PUNCT
ejpam-5845	551	52	open	open	ADJ
ejpam-5845	551	53	cover	cover	NOUN
ejpam-5845	551	54	of	of	ADP
ejpam-5845	551	55	m̃.	m̃.	NOUN
ejpam-5845	551	56	given	give	VERB
ejpam-5845	551	57	that	that	SCONJ
ejpam-5845	551	58	m̃	m̃	PROPN
ejpam-5845	551	59	is	be	AUX
ejpam-5845	551	60	qpns	qpns	NOUN
ejpam-5845	551	61	p	p	NOUN
ejpam-5845	551	62	-	-	PUNCT
ejpam-5845	551	63	compact	compact	ADJ
ejpam-5845	551	64	,	,	PUNCT
ejpam-5845	551	65	this	this	DET
ejpam-5845	551	66	cover	cover	NOUN
ejpam-5845	551	67	must	must	AUX
ejpam-5845	551	68	be	be	AUX
ejpam-5845	551	69	reducible	reducible	ADJ
ejpam-5845	551	70	to	to	ADP
ejpam-5845	551	71	a	a	DET
ejpam-5845	551	72	finite	finite	ADJ
ejpam-5845	551	73	subcover	subcover	PROPN
ejpam-5845	551	74	.	.	PUNCT
ejpam-5845	552	1	that	that	PRON
ejpam-5845	552	2	is	be	AUX
ejpam-5845	552	3	,	,	PUNCT
ejpam-5845	552	4	there	there	PRON
ejpam-5845	552	5	exists	exist	VERB
ejpam-5845	552	6	a	a	DET
ejpam-5845	552	7	finite	finite	ADJ
ejpam-5845	552	8	subcollection	subcollection	NOUN
ejpam-5845	552	9	{	{	PUNCT
ejpam-5845	552	10	(	(	PUNCT
ejpam-5845	552	11	j̃	j̃	PROPN
ejpam-5845	552	12	,	,	PUNCT
ejpam-5845	552	13	é)ik	é)ik	NOUN
ejpam-5845	552	14	:	:	PUNCT
ejpam-5845	552	15	k	k	X
ejpam-5845	552	16	=	=	SYM
ejpam-5845	552	17	1	1	NUM
ejpam-5845	552	18	,	,	PUNCT
ejpam-5845	552	19	2	2	NUM
ejpam-5845	552	20	,	,	PUNCT
ejpam-5845	552	21	.	.	PUNCT
ejpam-5845	552	22	.	.	PUNCT
ejpam-5845	553	1	.	.	PUNCT
ejpam-5845	554	1	,	,	PUNCT
ejpam-5845	554	2	n	n	CCONJ
ejpam-5845	554	3	}	}	PUNCT
ejpam-5845	554	4	such	such	ADJ
ejpam-5845	554	5	that	that	SCONJ
ejpam-5845	554	6	m̃	m̃	PROPN
ejpam-5845	554	7	=	=	SYM
ejpam-5845	554	8	n⋃	n⋃	X
ejpam-5845	554	9	k=1	k=1	X
ejpam-5845	554	10	(	(	PUNCT
ejpam-5845	554	11	j̃	j̃	PROPN
ejpam-5845	554	12	,	,	PUNCT
ejpam-5845	554	13	é)ik	é)ik	PRON
ejpam-5845	554	14	⋓	⋓	NOUN
ejpam-5845	554	15	(	(	PUNCT
ejpam-5845	554	16	υ̃	υ̃	PROPN
ejpam-5845	554	17	,	,	PUNCT
ejpam-5845	554	18	é)c	é)c	NOUN
ejpam-5845	554	19	.	.	NOUN
ejpam-5845	554	20	taking	take	VERB
ejpam-5845	554	21	the	the	DET
ejpam-5845	554	22	intersection	intersection	NOUN
ejpam-5845	554	23	with	with	ADP
ejpam-5845	554	24	(	(	PUNCT
ejpam-5845	554	25	υ̃	υ̃	PROPN
ejpam-5845	554	26	,	,	PUNCT
ejpam-5845	554	27	é	é	PROPN
ejpam-5845	554	28	)	)	PUNCT
ejpam-5845	554	29	on	on	ADP
ejpam-5845	554	30	both	both	DET
ejpam-5845	554	31	sides	side	NOUN
ejpam-5845	554	32	,	,	PUNCT
ejpam-5845	554	33	we	we	PRON
ejpam-5845	554	34	obtain	obtain	VERB
ejpam-5845	554	35	:	:	PUNCT
ejpam-5845	554	36	(	(	PUNCT
ejpam-5845	554	37	υ̃	υ̃	PROPN
ejpam-5845	554	38	,	,	PUNCT
ejpam-5845	554	39	é	é	PROPN
ejpam-5845	554	40	)	)	PUNCT
ejpam-5845	554	41	=	=	PUNCT
ejpam-5845	554	42	(	(	PUNCT
ejpam-5845	554	43	n⋃	n⋃	PROPN
ejpam-5845	554	44	k=1	k=1	X
ejpam-5845	555	1	(	(	PUNCT
ejpam-5845	555	2	j̃	j̃	PROPN
ejpam-5845	555	3	,	,	PUNCT
ejpam-5845	555	4	é)ik	é)ik	PRON
ejpam-5845	555	5	⋓	⋓	NOUN
ejpam-5845	555	6	(	(	PUNCT
ejpam-5845	555	7	υ̃	υ̃	PROPN
ejpam-5845	555	8	,	,	PUNCT
ejpam-5845	555	9	é)c	é)c	NOUN
ejpam-5845	555	10	)	)	PUNCT
ejpam-5845	555	11	⋒	⋒	PROPN
ejpam-5845	555	12	(	(	PUNCT
ejpam-5845	555	13	υ̃	υ̃	PROPN
ejpam-5845	555	14	,	,	PUNCT
ejpam-5845	555	15	é	é	PROPN
ejpam-5845	555	16	)	)	PUNCT
ejpam-5845	555	17	.	.	PUNCT
ejpam-5845	556	1	since	since	SCONJ
ejpam-5845	556	2	(	(	PUNCT
ejpam-5845	556	3	υ̃	υ̃	PROPN
ejpam-5845	556	4	,	,	PUNCT
ejpam-5845	556	5	é	é	PROPN
ejpam-5845	556	6	)	)	PUNCT
ejpam-5845	556	7	⋒	⋒	X
ejpam-5845	556	8	(	(	PUNCT
ejpam-5845	556	9	υ̃	υ̃	PROPN
ejpam-5845	556	10	,	,	PUNCT
ejpam-5845	556	11	é)c	é)c	X
ejpam-5845	556	12	=	=	SYM
ejpam-5845	556	13	φ̃	φ̃	PROPN
ejpam-5845	556	14	,	,	PUNCT
ejpam-5845	556	15	it	it	PRON
ejpam-5845	556	16	follows	follow	VERB
ejpam-5845	556	17	that	that	SCONJ
ejpam-5845	556	18	:	:	PUNCT
ejpam-5845	556	19	(	(	PUNCT
ejpam-5845	556	20	υ̃	υ̃	PROPN
ejpam-5845	556	21	,	,	PUNCT
ejpam-5845	556	22	é	é	PROPN
ejpam-5845	556	23	)	)	PUNCT
ejpam-5845	556	24	⊆	⊆	NUM
ejpam-5845	556	25	n⋃	n⋃	NOUN
ejpam-5845	556	26	k=1	k=1	X
ejpam-5845	557	1	(	(	PUNCT
ejpam-5845	557	2	j̃	j̃	PROPN
ejpam-5845	557	3	,	,	PUNCT
ejpam-5845	557	4	é)ik	é)ik	NOUN
ejpam-5845	557	5	.	.	PUNCT
ejpam-5845	558	1	thus	thus	ADV
ejpam-5845	558	2	,	,	PUNCT
ejpam-5845	558	3	the	the	DET
ejpam-5845	558	4	qpns	qpns	NOUN
ejpam-5845	558	5	p	p	NOUN
ejpam-5845	558	6	-	-	PUNCT
ejpam-5845	558	7	open	open	ADJ
ejpam-5845	558	8	cover	cover	NOUN
ejpam-5845	558	9	{	{	PUNCT
ejpam-5845	558	10	(	(	PUNCT
ejpam-5845	558	11	j̃	j̃	PROPN
ejpam-5845	558	12	,	,	PUNCT
ejpam-5845	558	13	é)i	é)i	X
ejpam-5845	558	14	:	:	PUNCT
ejpam-5845	558	15	i	i	PRON
ejpam-5845	558	16	∈	∈	VERB
ejpam-5845	558	17	i	i	X
ejpam-5845	558	18	}	}	PUNCT
ejpam-5845	558	19	of	of	ADP
ejpam-5845	558	20	(	(	PUNCT
ejpam-5845	558	21	υ̃	υ̃	PROPN
ejpam-5845	558	22	,	,	PUNCT
ejpam-5845	558	23	é	é	PROPN
ejpam-5845	558	24	)	)	PUNCT
ejpam-5845	558	25	is	be	AUX
ejpam-5845	558	26	reducible	reducible	ADJ
ejpam-5845	558	27	to	to	ADP
ejpam-5845	558	28	a	a	DET
ejpam-5845	558	29	finite	finite	ADJ
ejpam-5845	558	30	qpns	qpns	NOUN
ejpam-5845	558	31	subcover	subcover	PROPN
ejpam-5845	558	32	.	.	PUNCT
ejpam-5845	559	1	hence	hence	ADV
ejpam-5845	559	2	,	,	PUNCT
ejpam-5845	559	3	(	(	PUNCT
ejpam-5845	559	4	υ̃	υ̃	PROPN
ejpam-5845	559	5	,	,	PUNCT
ejpam-5845	559	6	é	é	PROPN
ejpam-5845	559	7	)	)	PUNCT
ejpam-5845	559	8	is	be	AUX
ejpam-5845	559	9	qpns	qpns	NOUN
ejpam-5845	559	10	p	p	NOUN
ejpam-5845	559	11	-	-	PUNCT
ejpam-5845	559	12	compact	compact	ADJ
ejpam-5845	559	13	.	.	PUNCT
ejpam-5845	560	1	theorem	theorem	NOUN
ejpam-5845	560	2	13	13	NUM
ejpam-5845	560	3	.	.	PUNCT
ejpam-5845	561	1	let	let	AUX
ejpam-5845	561	2	(	(	PUNCT
ejpam-5845	561	3	υ̃	υ̃	PROPN
ejpam-5845	561	4	,	,	PUNCT
ejpam-5845	561	5	é	é	PROPN
ejpam-5845	561	6	)	)	PUNCT
ejpam-5845	561	7	be	be	AUX
ejpam-5845	561	8	a	a	DET
ejpam-5845	561	9	qpns	qpns	NOUN
ejpam-5845	561	10	p	p	ADJ
ejpam-5845	561	11	-	-	ADJ
ejpam-5845	561	12	compact	compact	ADJ
ejpam-5845	561	13	subset	subset	NOUN
ejpam-5845	561	14	of	of	ADP
ejpam-5845	561	15	a	a	DET
ejpam-5845	561	16	qpns	qpns	NOUN
ejpam-5845	561	17	p	p	NOUN
ejpam-5845	561	18	-	-	PUNCT
ejpam-5845	561	19	hausdorff	hausdorff	NOUN
ejpam-5845	561	20	space	space	NOUN
ejpam-5845	561	21	m̃	m̃	PROPN
ejpam-5845	561	22	,	,	PUNCT
ejpam-5845	561	23	and	and	CCONJ
ejpam-5845	561	24	let	let	VERB
ejpam-5845	561	25	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	561	26	∈	∈	PROPN
ejpam-5845	561	27	m̃	m̃	PROPN
ejpam-5845	561	28	−	−	PROPN
ejpam-5845	561	29	(	(	PUNCT
ejpam-5845	561	30	υ̃	υ̃	PROPN
ejpam-5845	561	31	,	,	PUNCT
ejpam-5845	561	32	é	é	PROPN
ejpam-5845	561	33	)	)	PUNCT
ejpam-5845	561	34	.	.	PUNCT
ejpam-5845	562	1	then	then	ADV
ejpam-5845	562	2	there	there	PRON
ejpam-5845	562	3	exist	exist	VERB
ejpam-5845	562	4	qpns	qpns	NOUN
ejpam-5845	562	5	p	p	ADJ
ejpam-5845	562	6	-	-	PUNCT
ejpam-5845	562	7	open	open	ADJ
ejpam-5845	562	8	sets	set	NOUN
ejpam-5845	562	9	(	(	PUNCT
ejpam-5845	562	10	j̃	j̃	PROPN
ejpam-5845	562	11	,	,	PUNCT
ejpam-5845	562	12	é	é	PROPN
ejpam-5845	562	13	)	)	PUNCT
ejpam-5845	562	14	and	and	CCONJ
ejpam-5845	562	15	(	(	PUNCT
ejpam-5845	562	16	l̃	l̃	PROPN
ejpam-5845	562	17	,	,	PUNCT
ejpam-5845	562	18	é	é	PROPN
ejpam-5845	562	19	)	)	PUNCT
ejpam-5845	562	20	such	such	ADJ
ejpam-5845	562	21	that	that	SCONJ
ejpam-5845	562	22	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	562	23	∈	∈	PROPN
ejpam-5845	562	24	(	(	PUNCT
ejpam-5845	562	25	j̃	j̃	PROPN
ejpam-5845	562	26	,	,	PUNCT
ejpam-5845	562	27	é	é	PROPN
ejpam-5845	562	28	)	)	PUNCT
ejpam-5845	562	29	,	,	PUNCT
ejpam-5845	562	30	(	(	PUNCT
ejpam-5845	562	31	υ̃	υ̃	PROPN
ejpam-5845	562	32	,	,	PUNCT
ejpam-5845	562	33	é	é	PROPN
ejpam-5845	562	34	)	)	PUNCT
ejpam-5845	562	35	⊆	⊆	NUM
ejpam-5845	562	36	(	(	PUNCT
ejpam-5845	562	37	l̃	l̃	PROPN
ejpam-5845	562	38	,	,	PUNCT
ejpam-5845	562	39	é	é	PROPN
ejpam-5845	562	40	)	)	PUNCT
ejpam-5845	562	41	,	,	PUNCT
ejpam-5845	562	42	and	and	CCONJ
ejpam-5845	562	43	(	(	PUNCT
ejpam-5845	562	44	j̃	j̃	PROPN
ejpam-5845	562	45	,	,	PUNCT
ejpam-5845	562	46	é	é	PROPN
ejpam-5845	562	47	)	)	PUNCT
ejpam-5845	562	48	⋒	⋒	X
ejpam-5845	562	49	(	(	PUNCT
ejpam-5845	562	50	l̃	l̃	PROPN
ejpam-5845	562	51	,	,	PUNCT
ejpam-5845	562	52	é	é	PROPN
ejpam-5845	562	53	)	)	PUNCT
ejpam-5845	562	54	∼=	∼=	PROPN
ejpam-5845	563	1	φ̃.	φ̃.	ADJ
ejpam-5845	563	2	proof	proof	NOUN
ejpam-5845	563	3	.	.	PUNCT
ejpam-5845	564	1	since	since	SCONJ
ejpam-5845	564	2	m̃	m̃	PROPN
ejpam-5845	564	3	is	be	AUX
ejpam-5845	564	4	a	a	DET
ejpam-5845	564	5	qpns	qpns	NOUN
ejpam-5845	564	6	p	p	NOUN
ejpam-5845	564	7	-	-	PUNCT
ejpam-5845	564	8	hausdorff	hausdorff	NOUN
ejpam-5845	564	9	space	space	NOUN
ejpam-5845	564	10	,	,	PUNCT
ejpam-5845	564	11	for	for	ADP
ejpam-5845	564	12	each	each	DET
ejpam-5845	564	13	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	564	14	∈	∈	PROPN
ejpam-5845	564	15	(	(	PUNCT
ejpam-5845	564	16	υ̃	υ̃	PROPN
ejpam-5845	564	17	,	,	PUNCT
ejpam-5845	564	18	é	é	PROPN
ejpam-5845	564	19	)	)	PUNCT
ejpam-5845	564	20	,	,	PUNCT
ejpam-5845	564	21	there	there	PRON
ejpam-5845	564	22	exist	exist	VERB
ejpam-5845	564	23	qpns	qpns	NOUN
ejpam-5845	564	24	p	p	ADJ
ejpam-5845	564	25	-	-	PUNCT
ejpam-5845	564	26	open	open	ADJ
ejpam-5845	564	27	sets	set	NOUN
ejpam-5845	564	28	(	(	PUNCT
ejpam-5845	564	29	j̃s⋋⟨p1,p2,p3,p4⟩	j̃s⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	564	30	,	,	PUNCT
ejpam-5845	564	31	é	é	PROPN
ejpam-5845	564	32	)	)	PUNCT
ejpam-5845	564	33	and	and	CCONJ
ejpam-5845	564	34	(	(	PUNCT
ejpam-5845	564	35	l̃s⋋⟨p1,p2,p3,p4⟩	l̃s⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	564	36	,	,	PUNCT
ejpam-5845	564	37	é	é	PROPN
ejpam-5845	564	38	)	)	PUNCT
ejpam-5845	564	39	such	such	ADJ
ejpam-5845	564	40	that	that	SCONJ
ejpam-5845	564	41	(	(	PUNCT
ejpam-5845	564	42	j̃s⋋⟨p1,p2,p3,p4⟩	j̃s⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	564	43	,	,	PUNCT
ejpam-5845	564	44	é	é	PROPN
ejpam-5845	564	45	)	)	PUNCT
ejpam-5845	564	46	⋒	⋒	PUNCT
ejpam-5845	564	47	(	(	PUNCT
ejpam-5845	564	48	l̃s⋋⟨p1,p2,p3,p4⟩	l̃s⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	564	49	,	,	PUNCT
ejpam-5845	564	50	é	é	PROPN
ejpam-5845	564	51	)	)	PUNCT
ejpam-5845	564	52	∼=	∼=	PROPN
ejpam-5845	564	53	φ̃.	φ̃.	PROPN
ejpam-5845	564	54	now	now	ADV
ejpam-5845	564	55	,	,	PUNCT
ejpam-5845	564	56	{	{	PUNCT
ejpam-5845	564	57	(	(	PUNCT
ejpam-5845	564	58	l̃x	l̃x	NOUN
ejpam-5845	564	59	,	,	PUNCT
ejpam-5845	564	60	é	é	PROPN
ejpam-5845	564	61	)	)	PUNCT
ejpam-5845	564	62	:	:	PUNCT
ejpam-5845	564	63	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	564	64	∈	∈	PROPN
ejpam-5845	564	65	(	(	PUNCT
ejpam-5845	564	66	υ̃	υ̃	PROPN
ejpam-5845	564	67	,	,	PUNCT
ejpam-5845	564	68	é	é	PROPN
ejpam-5845	564	69	)	)	PUNCT
ejpam-5845	564	70	}	}	PUNCT
ejpam-5845	564	71	is	be	AUX
ejpam-5845	564	72	a	a	DET
ejpam-5845	564	73	qpns	qpns	NOUN
ejpam-5845	564	74	p	p	NOUN
ejpam-5845	564	75	-	-	PUNCT
ejpam-5845	564	76	open	open	ADJ
ejpam-5845	564	77	cover	cover	NOUN
ejpam-5845	564	78	of	of	ADP
ejpam-5845	564	79	(	(	PUNCT
ejpam-5845	564	80	υ̃	υ̃	PROPN
ejpam-5845	564	81	,	,	PUNCT
ejpam-5845	564	82	é	é	PROPN
ejpam-5845	564	83	)	)	PUNCT
ejpam-5845	564	84	.	.	PUNCT
ejpam-5845	565	1	since	since	SCONJ
ejpam-5845	565	2	(	(	PUNCT
ejpam-5845	565	3	υ̃	υ̃	PROPN
ejpam-5845	565	4	,	,	PUNCT
ejpam-5845	565	5	é	é	PROPN
ejpam-5845	565	6	)	)	PUNCT
ejpam-5845	565	7	is	be	AUX
ejpam-5845	565	8	qpns	qpns	NOUN
ejpam-5845	565	9	p	p	NOUN
ejpam-5845	565	10	-	-	PUNCT
ejpam-5845	565	11	compact	compact	ADJ
ejpam-5845	565	12	,	,	PUNCT
ejpam-5845	565	13	there	there	PRON
ejpam-5845	565	14	exist	exist	VERB
ejpam-5845	565	15	finitely	finitely	ADV
ejpam-5845	565	16	many	many	ADJ
ejpam-5845	565	17	points	point	NOUN
ejpam-5845	566	1	s⋋1,⟨p1,p2,p3,p4⟩	s⋋1,⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	566	2	,	,	PUNCT
ejpam-5845	566	3	s	s	PART
ejpam-5845	566	4	⋋	⋋	NUM
ejpam-5845	566	5	2,⟨p1,p2,p3,p4⟩	2,⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	566	6	,	,	PUNCT
ejpam-5845	566	7	.	.	PUNCT
ejpam-5845	566	8	.	.	PUNCT
ejpam-5845	566	9	.	.	PUNCT
ejpam-5845	567	1	,	,	PUNCT
ejpam-5845	567	2	s	s	VERB
ejpam-5845	567	3	⋋	⋋	NUM
ejpam-5845	567	4	n,⟨p1,p2,p3,p4⟩	n,⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	567	5	m.	m.	NOUN
ejpam-5845	567	6	m.	m.	NOUN
ejpam-5845	567	7	saeed	saeed	PROPN
ejpam-5845	567	8	et	et	PROPN
ejpam-5845	567	9	al	al	PROPN
ejpam-5845	567	10	.	.	PUNCT
ejpam-5845	567	11	/	/	SYM
ejpam-5845	567	12	eur	eur	PROPN
ejpam-5845	567	13	.	.	PUNCT
ejpam-5845	568	1	j.	j.	PROPN
ejpam-5845	568	2	pure	pure	PROPN
ejpam-5845	568	3	appl	appl	PROPN
ejpam-5845	568	4	.	.	PROPN
ejpam-5845	568	5	math	math	PROPN
ejpam-5845	568	6	,	,	PUNCT
ejpam-5845	568	7	18	18	NUM
ejpam-5845	568	8	(	(	PUNCT
ejpam-5845	568	9	2	2	NUM
ejpam-5845	568	10	)	)	PUNCT
ejpam-5845	568	11	(	(	PUNCT
ejpam-5845	568	12	2025	2025	NUM
ejpam-5845	568	13	)	)	PUNCT
ejpam-5845	568	14	,	,	PUNCT
ejpam-5845	568	15	5845	5845	NUM
ejpam-5845	568	16	24	24	NUM
ejpam-5845	568	17	of	of	ADP
ejpam-5845	568	18	32	32	NUM
ejpam-5845	568	19	of	of	ADP
ejpam-5845	568	20	(	(	PUNCT
ejpam-5845	568	21	υ̃	υ̃	PROPN
ejpam-5845	568	22	,	,	PUNCT
ejpam-5845	568	23	é	é	PROPN
ejpam-5845	568	24	)	)	PUNCT
ejpam-5845	569	1	such	such	ADJ
ejpam-5845	569	2	that	that	SCONJ
ejpam-5845	569	3	(	(	PUNCT
ejpam-5845	569	4	υ̃	υ̃	PROPN
ejpam-5845	569	5	,	,	PUNCT
ejpam-5845	569	6	é	é	PROPN
ejpam-5845	569	7	)	)	PUNCT
ejpam-5845	569	8	⊆	⊆	NUM
ejpam-5845	569	9	n⋃	n⋃	NOUN
ejpam-5845	569	10	i=1	i=1	PROPN
ejpam-5845	569	11	(	(	PUNCT
ejpam-5845	569	12	l̃s⋋	l̃s⋋	PROPN
ejpam-5845	569	13	i,⟨p1,p2,p3,p4⟩	i,⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	569	14	,	,	PUNCT
ejpam-5845	569	15	é	é	PROPN
ejpam-5845	569	16	)	)	PUNCT
ejpam-5845	569	17	.	.	PUNCT
ejpam-5845	570	1	define	define	VERB
ejpam-5845	570	2	(	(	PUNCT
ejpam-5845	570	3	l̃	l̃	PROPN
ejpam-5845	570	4	,	,	PUNCT
ejpam-5845	570	5	é	é	PROPN
ejpam-5845	570	6	)	)	PUNCT
ejpam-5845	570	7	∼=	∼=	PROPN
ejpam-5845	570	8	n⋃	n⋃	PRON
ejpam-5845	570	9	i=1	i=1	PROPN
ejpam-5845	570	10	(	(	PUNCT
ejpam-5845	570	11	l̃s⋋	l̃s⋋	PROPN
ejpam-5845	570	12	i,⟨p1,p2,p3,p4⟩	i,⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	570	13	,	,	PUNCT
ejpam-5845	570	14	é	é	PROPN
ejpam-5845	570	15	)	)	PUNCT
ejpam-5845	570	16	,	,	PUNCT
ejpam-5845	570	17	(	(	PUNCT
ejpam-5845	570	18	j̃	j̃	PROPN
ejpam-5845	570	19	,	,	PUNCT
ejpam-5845	570	20	é	é	PROPN
ejpam-5845	570	21	)	)	PUNCT
ejpam-5845	570	22	∼=	∼=	PART
ejpam-5845	570	23	n⋂	n⋂	NOUN
ejpam-5845	570	24	i=1	i=1	PROPN
ejpam-5845	571	1	(	(	PUNCT
ejpam-5845	571	2	j̃s⋋	j̃s⋋	PROPN
ejpam-5845	571	3	i,⟨p1,p2,p3,p4⟩	i,⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	571	4	,	,	PUNCT
ejpam-5845	571	5	é	é	PROPN
ejpam-5845	571	6	)	)	PUNCT
ejpam-5845	571	7	.	.	PUNCT
ejpam-5845	572	1	then	then	ADV
ejpam-5845	572	2	(	(	PUNCT
ejpam-5845	572	3	l̃	l̃	PROPN
ejpam-5845	572	4	,	,	PUNCT
ejpam-5845	572	5	é	é	PROPN
ejpam-5845	572	6	)	)	PUNCT
ejpam-5845	572	7	and	and	CCONJ
ejpam-5845	572	8	(	(	PUNCT
ejpam-5845	572	9	j̃	j̃	PROPN
ejpam-5845	572	10	,	,	PUNCT
ejpam-5845	572	11	é	é	PROPN
ejpam-5845	572	12	)	)	PUNCT
ejpam-5845	572	13	are	be	AUX
ejpam-5845	572	14	clearly	clearly	ADV
ejpam-5845	572	15	qpns	qpns	NOUN
ejpam-5845	572	16	p	p	ADJ
ejpam-5845	572	17	-	-	PUNCT
ejpam-5845	572	18	open	open	ADJ
ejpam-5845	572	19	sets	set	NOUN
ejpam-5845	572	20	such	such	ADJ
ejpam-5845	572	21	that	that	SCONJ
ejpam-5845	572	22	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	572	23	∈	∈	PROPN
ejpam-5845	572	24	(	(	PUNCT
ejpam-5845	572	25	j̃	j̃	PROPN
ejpam-5845	572	26	,	,	PUNCT
ejpam-5845	572	27	é	é	PROPN
ejpam-5845	572	28	)	)	PUNCT
ejpam-5845	572	29	⊆	⊆	NUM
ejpam-5845	572	30	(	(	PUNCT
ejpam-5845	572	31	l̃	l̃	PROPN
ejpam-5845	572	32	,	,	PUNCT
ejpam-5845	572	33	é	é	PROPN
ejpam-5845	572	34	)	)	PUNCT
ejpam-5845	572	35	.	.	PUNCT
ejpam-5845	573	1	moreover	moreover	ADV
ejpam-5845	573	2	,	,	PUNCT
ejpam-5845	573	3	(	(	PUNCT
ejpam-5845	573	4	j̃	j̃	PROPN
ejpam-5845	573	5	,	,	PUNCT
ejpam-5845	573	6	é	é	PROPN
ejpam-5845	573	7	)	)	PUNCT
ejpam-5845	573	8	⋒	⋒	X
ejpam-5845	573	9	(	(	PUNCT
ejpam-5845	573	10	l̃	l̃	PROPN
ejpam-5845	573	11	,	,	PUNCT
ejpam-5845	573	12	é	é	PROPN
ejpam-5845	573	13	)	)	PUNCT
ejpam-5845	573	14	∼=	∼=	PROPN
ejpam-5845	573	15	φ̃.	φ̃.	NOUN
ejpam-5845	573	16	if	if	SCONJ
ejpam-5845	573	17	y⋋⟨p1,p2,p3,p4⟩	y⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	573	18	∈	∈	PROPN
ejpam-5845	573	19	(	(	PUNCT
ejpam-5845	573	20	l̃	l̃	PROPN
ejpam-5845	573	21	,	,	PUNCT
ejpam-5845	573	22	é	é	PROPN
ejpam-5845	573	23	)	)	PUNCT
ejpam-5845	573	24	,	,	PUNCT
ejpam-5845	573	25	then	then	ADV
ejpam-5845	573	26	y⋋⟨p1,p2,p3,p4⟩	y⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	573	27	∈	∈	PROPN
ejpam-5845	573	28	(	(	PUNCT
ejpam-5845	573	29	l̃s⋋	l̃s⋋	PROPN
ejpam-5845	573	30	i,⟨p1,p2,p3,p4⟩	i,⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	573	31	,	,	PUNCT
ejpam-5845	573	32	é	é	PROPN
ejpam-5845	573	33	)	)	PUNCT
ejpam-5845	573	34	for	for	ADP
ejpam-5845	573	35	some	some	DET
ejpam-5845	573	36	s⋋i,⟨p1,p2,p3,p4⟩	s⋋i,⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	573	37	,	,	PUNCT
ejpam-5845	573	38	implying	imply	VERB
ejpam-5845	573	39	that	that	SCONJ
ejpam-5845	573	40	y⋋⟨p1,p2,p3,p4⟩	y⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	573	41	/∈	/∈	PUNCT
ejpam-5845	574	1	(	(	PUNCT
ejpam-5845	574	2	j̃s⋋	j̃s⋋	PROPN
ejpam-5845	574	3	i,⟨p1,p2,p3,p4⟩	i,⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	574	4	,	,	PUNCT
ejpam-5845	574	5	é	é	PROPN
ejpam-5845	574	6	)	)	PUNCT
ejpam-5845	574	7	.	.	PUNCT
ejpam-5845	575	1	since	since	SCONJ
ejpam-5845	575	2	(	(	PUNCT
ejpam-5845	575	3	j̃s⋋⟨p1,p2,p3,p4⟩	j̃s⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	575	4	,	,	PUNCT
ejpam-5845	575	5	é	é	PROPN
ejpam-5845	575	6	)	)	PUNCT
ejpam-5845	575	7	⋒	⋒	PUNCT
ejpam-5845	575	8	(	(	PUNCT
ejpam-5845	575	9	l̃s⋋⟨p1,p2,p3,p4⟩	l̃s⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	575	10	,	,	PUNCT
ejpam-5845	575	11	é	é	PROPN
ejpam-5845	575	12	)	)	PUNCT
ejpam-5845	575	13	∼=	∼=	PART
ejpam-5845	575	14	φ̃	φ̃	PROPN
ejpam-5845	575	15	,	,	PUNCT
ejpam-5845	575	16	it	it	PRON
ejpam-5845	575	17	follows	follow	VERB
ejpam-5845	575	18	that	that	SCONJ
ejpam-5845	575	19	y⋋⟨p1,p2,p3,p4⟩	y⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	575	20	/∈	/∈	PUNCT
ejpam-5845	576	1	n⋂	n⋂	VERB
ejpam-5845	576	2	i=1	i=1	PROPN
ejpam-5845	577	1	(	(	PUNCT
ejpam-5845	577	2	j̃s⋋	j̃s⋋	PROPN
ejpam-5845	577	3	i,⟨p1,p2,p3,p4⟩	i,⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	577	4	,	,	PUNCT
ejpam-5845	577	5	é	é	PROPN
ejpam-5845	577	6	)	)	PUNCT
ejpam-5845	577	7	.	.	PUNCT
ejpam-5845	578	1	thus	thus	ADV
ejpam-5845	578	2	,	,	PUNCT
ejpam-5845	578	3	y⋋⟨p1,p2,p3,p4⟩	y⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	578	4	/∈	/∈	PUNCT
ejpam-5845	579	1	(	(	PUNCT
ejpam-5845	579	2	j̃	j̃	PROPN
ejpam-5845	579	3	,	,	PUNCT
ejpam-5845	579	4	é	é	PROPN
ejpam-5845	579	5	)	)	PUNCT
ejpam-5845	579	6	.	.	PUNCT
ejpam-5845	580	1	theorem	theorem	VERB
ejpam-5845	580	2	14	14	NUM
ejpam-5845	580	3	.	.	PUNCT
ejpam-5845	581	1	let	let	VERB
ejpam-5845	581	2	(	(	PUNCT
ejpam-5845	581	3	υ̃	υ̃	PROPN
ejpam-5845	581	4	,	,	PUNCT
ejpam-5845	581	5	é	é	PROPN
ejpam-5845	581	6	)	)	PUNCT
ejpam-5845	581	7	and	and	CCONJ
ejpam-5845	581	8	(	(	PUNCT
ejpam-5845	581	9	ω̃	ω̃	PROPN
ejpam-5845	581	10	,	,	PUNCT
ejpam-5845	581	11	é	é	PROPN
ejpam-5845	581	12	)	)	PUNCT
ejpam-5845	581	13	be	be	AUX
ejpam-5845	581	14	disjoint	disjoint	NOUN
ejpam-5845	581	15	qpns	qpns	NOUN
ejpam-5845	581	16	p	p	ADJ
ejpam-5845	581	17	-	-	PUNCT
ejpam-5845	581	18	compact	compact	ADJ
ejpam-5845	581	19	subsets	subset	NOUN
ejpam-5845	581	20	of	of	ADP
ejpam-5845	581	21	a	a	DET
ejpam-5845	581	22	qpns	qpns	NOUN
ejpam-5845	581	23	phausdorff	phausdorff	NOUN
ejpam-5845	581	24	space	space	NOUN
ejpam-5845	581	25	m̃.	m̃.	PROPN
ejpam-5845	581	26	then	then	ADV
ejpam-5845	581	27	,	,	PUNCT
ejpam-5845	581	28	there	there	PRON
ejpam-5845	581	29	exist	exist	VERB
ejpam-5845	581	30	disjoint	disjoint	NOUN
ejpam-5845	581	31	qpns	qpns	NOUN
ejpam-5845	581	32	p	p	NOUN
ejpam-5845	581	33	-	-	PUNCT
ejpam-5845	581	34	open	open	ADJ
ejpam-5845	581	35	sets	set	NOUN
ejpam-5845	581	36	(	(	PUNCT
ejpam-5845	581	37	j̃	j̃	PROPN
ejpam-5845	581	38	,	,	PUNCT
ejpam-5845	581	39	é	é	PROPN
ejpam-5845	581	40	)	)	PUNCT
ejpam-5845	581	41	and	and	CCONJ
ejpam-5845	581	42	(	(	PUNCT
ejpam-5845	581	43	l̃	l̃	PROPN
ejpam-5845	581	44	,	,	PUNCT
ejpam-5845	581	45	é	é	PROPN
ejpam-5845	581	46	)	)	PUNCT
ejpam-5845	581	47	such	such	ADJ
ejpam-5845	581	48	that	that	SCONJ
ejpam-5845	581	49	(	(	PUNCT
ejpam-5845	581	50	υ̃	υ̃	PROPN
ejpam-5845	581	51	,	,	PUNCT
ejpam-5845	581	52	é	é	PROPN
ejpam-5845	581	53	)	)	PUNCT
ejpam-5845	581	54	⊆	⊆	NUM
ejpam-5845	581	55	˜	˜	PROPN
ejpam-5845	581	56	(	(	PUNCT
ejpam-5845	581	57	j	j	PROPN
ejpam-5845	581	58	,	,	PUNCT
ejpam-5845	581	59	´	´	NOUN
ejpam-5845	581	60	)	)	PUNCT
ejpam-5845	581	61	e	e	NOUN
ejpam-5845	581	62	and	and	CCONJ
ejpam-5845	581	63	(	(	PUNCT
ejpam-5845	581	64	ω̃	ω̃	PROPN
ejpam-5845	581	65	,	,	PUNCT
ejpam-5845	581	66	é	é	PROPN
ejpam-5845	581	67	)	)	PUNCT
ejpam-5845	581	68	⊆	⊆	NUM
ejpam-5845	581	69	˜	˜	PROPN
ejpam-5845	581	70	(	(	PUNCT
ejpam-5845	581	71	l	l	NOUN
ejpam-5845	581	72	,	,	PUNCT
ejpam-5845	581	73	´	´	NOUN
ejpam-5845	581	74	)	)	PUNCT
ejpam-5845	581	75	e.	e.	PROPN
ejpam-5845	581	76	proof	proof	PROPN
ejpam-5845	581	77	.	.	PUNCT
ejpam-5845	582	1	since	since	SCONJ
ejpam-5845	582	2	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	582	3	∈	∈	PROPN
ejpam-5845	582	4	(	(	PUNCT
ejpam-5845	582	5	υ̃	υ̃	PROPN
ejpam-5845	582	6	,	,	PUNCT
ejpam-5845	582	7	é	é	PROPN
ejpam-5845	582	8	)	)	PUNCT
ejpam-5845	582	9	and	and	CCONJ
ejpam-5845	582	10	(	(	PUNCT
ejpam-5845	582	11	υ̃	υ̃	PROPN
ejpam-5845	582	12	,	,	PUNCT
ejpam-5845	582	13	é	é	PROPN
ejpam-5845	582	14	)	)	PUNCT
ejpam-5845	582	15	⋒	⋒	PUNCT
ejpam-5845	582	16	(	(	PUNCT
ejpam-5845	582	17	j̃	j̃	PROPN
ejpam-5845	582	18	,	,	PUNCT
ejpam-5845	582	19	é	é	PROPN
ejpam-5845	582	20	)	)	PUNCT
ejpam-5845	582	21	≈	≈	PROPN
ejpam-5845	582	22	φ̃	φ̃	PROPN
ejpam-5845	582	23	,	,	PUNCT
ejpam-5845	582	24	we	we	PRON
ejpam-5845	582	25	have	have	VERB
ejpam-5845	582	26	y⋋⟨p1,p2,p3,p4⟩	y⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	582	27	/∈	/∈	PUNCT
ejpam-5845	583	1	(	(	PUNCT
ejpam-5845	583	2	j̃	j̃	PROPN
ejpam-5845	583	3	,	,	PUNCT
ejpam-5845	583	4	é	é	PROPN
ejpam-5845	583	5	)	)	PUNCT
ejpam-5845	583	6	.	.	PUNCT
ejpam-5845	584	1	now	now	ADV
ejpam-5845	584	2	,	,	PUNCT
ejpam-5845	584	3	since	since	SCONJ
ejpam-5845	584	4	(	(	PUNCT
ejpam-5845	584	5	ω̃	ω̃	PROPN
ejpam-5845	584	6	,	,	PUNCT
ejpam-5845	584	7	é	é	PROPN
ejpam-5845	584	8	)	)	PUNCT
ejpam-5845	584	9	is	be	AUX
ejpam-5845	584	10	a	a	DET
ejpam-5845	584	11	qpns	qpns	NOUN
ejpam-5845	584	12	p	p	ADJ
ejpam-5845	584	13	-	-	ADJ
ejpam-5845	584	14	compact	compact	ADJ
ejpam-5845	584	15	subset	subset	NOUN
ejpam-5845	584	16	of	of	ADP
ejpam-5845	584	17	the	the	DET
ejpam-5845	584	18	qpns	qpns	NOUN
ejpam-5845	584	19	p	p	PROPN
ejpam-5845	584	20	-	-	PUNCT
ejpam-5845	584	21	hausdorff	hausdorff	NOUN
ejpam-5845	584	22	space	space	NOUN
ejpam-5845	584	23	m̃	m̃	PROPN
ejpam-5845	584	24	,	,	PUNCT
ejpam-5845	584	25	and	and	CCONJ
ejpam-5845	584	26	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	ADJ
ejpam-5845	584	27	/∈	/∈	PUNCT
ejpam-5845	585	1	(	(	PUNCT
ejpam-5845	585	2	ω̃	ω̃	NOUN
ejpam-5845	585	3	,	,	PUNCT
ejpam-5845	585	4	é	é	PROPN
ejpam-5845	585	5	)	)	PUNCT
ejpam-5845	585	6	,	,	PUNCT
ejpam-5845	585	7	there	there	PRON
ejpam-5845	585	8	exist	exist	VERB
ejpam-5845	585	9	qpns	qpns	NOUN
ejpam-5845	585	10	p	p	ADJ
ejpam-5845	585	11	-	-	PUNCT
ejpam-5845	585	12	open	open	ADJ
ejpam-5845	585	13	sets	set	NOUN
ejpam-5845	585	14	(	(	PUNCT
ejpam-5845	585	15	j̃s⋋⟨p1,p2,p3,p4⟩	j̃s⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	585	16	,	,	PUNCT
ejpam-5845	585	17	é	é	PROPN
ejpam-5845	585	18	)	)	PUNCT
ejpam-5845	585	19	and	and	CCONJ
ejpam-5845	585	20	(	(	PUNCT
ejpam-5845	585	21	l̃s⋋⟨p1,p2,p3,p4⟩	l̃s⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	585	22	,	,	PUNCT
ejpam-5845	585	23	é	é	PROPN
ejpam-5845	585	24	)	)	PUNCT
ejpam-5845	585	25	such	such	ADJ
ejpam-5845	585	26	that	that	SCONJ
ejpam-5845	585	27	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	585	28	∈	∈	PROPN
ejpam-5845	585	29	(	(	PUNCT
ejpam-5845	585	30	j̃s⋋⟨p1,p2,p3,p4⟩	j̃s⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	585	31	,	,	PUNCT
ejpam-5845	585	32	é	é	PROPN
ejpam-5845	585	33	)	)	PUNCT
ejpam-5845	585	34	,	,	PUNCT
ejpam-5845	585	35	(	(	PUNCT
ejpam-5845	585	36	j̃	j̃	PROPN
ejpam-5845	585	37	,	,	PUNCT
ejpam-5845	585	38	é	é	PROPN
ejpam-5845	585	39	)	)	PUNCT
ejpam-5845	585	40	⊆	⊆	NUM
ejpam-5845	585	41	(	(	PUNCT
ejpam-5845	585	42	̃ls⋋⟨p1,p2,p3,p4⟩	̃ls⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	585	43	,	,	PUNCT
ejpam-5845	585	44	é	é	PROPN
ejpam-5845	585	45	)	)	PUNCT
ejpam-5845	585	46	,	,	PUNCT
ejpam-5845	585	47	and	and	CCONJ
ejpam-5845	585	48	(	(	PUNCT
ejpam-5845	585	49	j̃s⋋⟨p1,p2,p3,p4⟩	j̃s⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	585	50	,	,	PUNCT
ejpam-5845	585	51	é	é	PROPN
ejpam-5845	585	52	)	)	PUNCT
ejpam-5845	585	53	⋒	⋒	PUNCT
ejpam-5845	585	54	(	(	PUNCT
ejpam-5845	585	55	l̃s⋋⟨p1,p2,p3,p4⟩	l̃s⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	585	56	,	,	PUNCT
ejpam-5845	585	57	é	é	PROPN
ejpam-5845	585	58	)	)	PUNCT
ejpam-5845	585	59	≈	≈	PROPN
ejpam-5845	585	60	φ̃.	φ̃.	PROPN
ejpam-5845	585	61	clearly	clearly	ADV
ejpam-5845	585	62	,	,	PUNCT
ejpam-5845	585	63	{	{	PUNCT
ejpam-5845	585	64	(	(	PUNCT
ejpam-5845	585	65	j̃s⋋⟨p1,p2,p3,p4⟩	j̃s⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	585	66	,	,	PUNCT
ejpam-5845	585	67	é	é	PROPN
ejpam-5845	585	68	)	)	PUNCT
ejpam-5845	585	69	:	:	PUNCT
ejpam-5845	585	70	s⋋⟨p1,p2,p3,p4⟩	s⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	585	71	∈	∈	PROPN
ejpam-5845	585	72	(	(	PUNCT
ejpam-5845	585	73	υ̃	υ̃	PROPN
ejpam-5845	585	74	,	,	PUNCT
ejpam-5845	585	75	é	é	PROPN
ejpam-5845	585	76	)	)	PUNCT
ejpam-5845	585	77	}	}	PUNCT
ejpam-5845	585	78	is	be	AUX
ejpam-5845	585	79	a	a	DET
ejpam-5845	585	80	qpns	qpns	NOUN
ejpam-5845	585	81	p	p	NOUN
ejpam-5845	585	82	-	-	PUNCT
ejpam-5845	585	83	open	open	ADJ
ejpam-5845	585	84	covering	covering	NOUN
ejpam-5845	585	85	of	of	ADP
ejpam-5845	585	86	(	(	PUNCT
ejpam-5845	585	87	υ̃	υ̃	PROPN
ejpam-5845	585	88	,	,	PUNCT
ejpam-5845	585	89	é	é	PROPN
ejpam-5845	585	90	)	)	PUNCT
ejpam-5845	585	91	.	.	PUNCT
ejpam-5845	586	1	since	since	SCONJ
ejpam-5845	586	2	(	(	PUNCT
ejpam-5845	586	3	υ̃	υ̃	PROPN
ejpam-5845	586	4	,	,	PUNCT
ejpam-5845	586	5	é	é	PROPN
ejpam-5845	586	6	)	)	PUNCT
ejpam-5845	586	7	is	be	AUX
ejpam-5845	586	8	qpns	qpns	NOUN
ejpam-5845	586	9	p	p	NOUN
ejpam-5845	586	10	-	-	PUNCT
ejpam-5845	586	11	compact	compact	ADJ
ejpam-5845	586	12	,	,	PUNCT
ejpam-5845	586	13	there	there	PRON
ejpam-5845	586	14	exist	exist	VERB
ejpam-5845	586	15	finitely	finitely	ADV
ejpam-5845	586	16	many	many	ADJ
ejpam-5845	586	17	points	point	NOUN
ejpam-5845	586	18	s1	s1	PROPN
ejpam-5845	586	19	⋋	⋋	NUM
ejpam-5845	586	20	⟨p1,p2,p3,p4⟩	⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	586	21	,	,	PUNCT
ejpam-5845	586	22	s2	s2	VERB
ejpam-5845	586	23	⋋	⋋	NUM
ejpam-5845	586	24	⟨p1,p2,p3,p4⟩	⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	586	25	,	,	PUNCT
ejpam-5845	586	26	.	.	PUNCT
ejpam-5845	586	27	.	.	PUNCT
ejpam-5845	587	1	.	.	PUNCT
ejpam-5845	588	1	,	,	PUNCT
ejpam-5845	588	2	sn	sn	PROPN
ejpam-5845	588	3	⋋	⋋	PUNCT
ejpam-5845	588	4	⟨p1,p2,p3,p4⟩	⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	588	5	in	in	ADP
ejpam-5845	588	6	(	(	PUNCT
ejpam-5845	588	7	υ̃	υ̃	PROPN
ejpam-5845	588	8	,	,	PUNCT
ejpam-5845	588	9	é	é	PROPN
ejpam-5845	588	10	)	)	PUNCT
ejpam-5845	588	11	such	such	ADJ
ejpam-5845	588	12	that	that	SCONJ
ejpam-5845	588	13	(	(	PUNCT
ejpam-5845	588	14	υ̃	υ̃	PROPN
ejpam-5845	588	15	,	,	PUNCT
ejpam-5845	588	16	é	é	PROPN
ejpam-5845	588	17	)	)	PUNCT
ejpam-5845	588	18	⊆	⊆	NUM
ejpam-5845	588	19	n⋃	n⋃	NOUN
ejpam-5845	588	20	i=1	i=1	PROPN
ejpam-5845	588	21	(	(	PUNCT
ejpam-5845	588	22	j̃si⋋⟨p1,p2,p3,p4⟩	j̃si⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	588	23	,	,	PUNCT
ejpam-5845	588	24	é	é	PROPN
ejpam-5845	588	25	)	)	PUNCT
ejpam-5845	588	26	.	.	PUNCT
ejpam-5845	589	1	let	let	VERB
ejpam-5845	589	2	(	(	PUNCT
ejpam-5845	589	3	j̃	j̃	PROPN
ejpam-5845	589	4	,	,	PUNCT
ejpam-5845	589	5	é	é	PROPN
ejpam-5845	589	6	)	)	PUNCT
ejpam-5845	589	7	=	=	PRON
ejpam-5845	589	8	n⋃	n⋃	VERB
ejpam-5845	589	9	i=1	i=1	PROPN
ejpam-5845	590	1	(	(	PUNCT
ejpam-5845	590	2	j̃si⋋⟨p1,p2,p3,p4⟩	j̃si⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	590	3	,	,	PUNCT
ejpam-5845	590	4	é	é	PROPN
ejpam-5845	590	5	)	)	PUNCT
ejpam-5845	590	6	,	,	PUNCT
ejpam-5845	590	7	m.	m.	NOUN
ejpam-5845	590	8	m.	m.	PROPN
ejpam-5845	590	9	saeed	saeed	PROPN
ejpam-5845	590	10	et	et	PROPN
ejpam-5845	590	11	al	al	PROPN
ejpam-5845	590	12	.	.	PUNCT
ejpam-5845	590	13	/	/	SYM
ejpam-5845	590	14	eur	eur	PROPN
ejpam-5845	590	15	.	.	PUNCT
ejpam-5845	591	1	j.	j.	PROPN
ejpam-5845	591	2	pure	pure	PROPN
ejpam-5845	591	3	appl	appl	PROPN
ejpam-5845	591	4	.	.	PROPN
ejpam-5845	591	5	math	math	PROPN
ejpam-5845	591	6	,	,	PUNCT
ejpam-5845	591	7	18	18	NUM
ejpam-5845	591	8	(	(	PUNCT
ejpam-5845	591	9	2	2	NUM
ejpam-5845	591	10	)	)	PUNCT
ejpam-5845	591	11	(	(	PUNCT
ejpam-5845	591	12	2025	2025	NUM
ejpam-5845	591	13	)	)	PUNCT
ejpam-5845	591	14	,	,	PUNCT
ejpam-5845	591	15	5845	5845	NUM
ejpam-5845	591	16	25	25	NUM
ejpam-5845	591	17	of	of	ADP
ejpam-5845	591	18	32	32	NUM
ejpam-5845	591	19	(	(	PUNCT
ejpam-5845	591	20	l̃	l̃	PROPN
ejpam-5845	591	21	,	,	PUNCT
ejpam-5845	591	22	é	é	PROPN
ejpam-5845	591	23	)	)	PUNCT
ejpam-5845	591	24	=	=	SYM
ejpam-5845	592	1	n⋂	n⋂	VERB
ejpam-5845	592	2	i=1	i=1	PROPN
ejpam-5845	593	1	(	(	PUNCT
ejpam-5845	593	2	l̃si⋋⟨p1,p2,p3,p4⟩	l̃si⋋⟨p1,p2,p3,p4⟩	INTJ
ejpam-5845	593	3	,	,	PUNCT
ejpam-5845	593	4	é	é	PROPN
ejpam-5845	593	5	)	)	PUNCT
ejpam-5845	593	6	.	.	PUNCT
ejpam-5845	594	1	then	then	ADV
ejpam-5845	594	2	,	,	PUNCT
ejpam-5845	594	3	we	we	PRON
ejpam-5845	594	4	have	have	VERB
ejpam-5845	594	5	(	(	PUNCT
ejpam-5845	594	6	υ̃	υ̃	PROPN
ejpam-5845	594	7	,	,	PUNCT
ejpam-5845	594	8	é	é	PROPN
ejpam-5845	594	9	)	)	PUNCT
ejpam-5845	594	10	⊆	⊆	NUM
ejpam-5845	594	11	˜(j	˜(j	PROPN
ejpam-5845	594	12	,	,	PUNCT
ejpam-5845	594	13	é	é	PROPN
ejpam-5845	594	14	)	)	PUNCT
ejpam-5845	594	15	and	and	CCONJ
ejpam-5845	594	16	(	(	PUNCT
ejpam-5845	594	17	ω̃	ω̃	PROPN
ejpam-5845	594	18	,	,	PUNCT
ejpam-5845	594	19	é	é	PROPN
ejpam-5845	594	20	)	)	PUNCT
ejpam-5845	594	21	⊆	⊆	NUM
ejpam-5845	594	22	(	(	PUNCT
ejpam-5845	594	23	̃l	̃l	X
ejpam-5845	594	24	,	,	PUNCT
ejpam-5845	594	25	é	é	PROPN
ejpam-5845	594	26	)	)	PUNCT
ejpam-5845	594	27	.	.	PUNCT
ejpam-5845	595	1	since	since	SCONJ
ejpam-5845	595	2	(	(	PUNCT
ejpam-5845	595	3	j̃	j̃	PROPN
ejpam-5845	595	4	,	,	PUNCT
ejpam-5845	595	5	é	é	PROPN
ejpam-5845	595	6	)	)	PUNCT
ejpam-5845	595	7	⊆	⊆	NUM
ejpam-5845	595	8	(	(	PUNCT
ejpam-5845	595	9	̃lsi⋋⟨p1,p2,p3,p4⟩	̃lsi⋋⟨p1,p2,p3,p4⟩	NUM
ejpam-5845	595	10	,	,	PUNCT
ejpam-5845	595	11	é	é	PROPN
ejpam-5845	595	12	)	)	PUNCT
ejpam-5845	595	13	for	for	ADP
ejpam-5845	595	14	each	each	DET
ejpam-5845	595	15	i	i	PRON
ejpam-5845	595	16	,	,	PUNCT
ejpam-5845	595	17	it	it	PRON
ejpam-5845	595	18	follows	follow	VERB
ejpam-5845	595	19	that	that	SCONJ
ejpam-5845	595	20	(	(	PUNCT
ejpam-5845	595	21	j̃	j̃	PROPN
ejpam-5845	595	22	,	,	PUNCT
ejpam-5845	595	23	é	é	PROPN
ejpam-5845	595	24	)	)	PUNCT
ejpam-5845	595	25	and	and	CCONJ
ejpam-5845	595	26	(	(	PUNCT
ejpam-5845	595	27	l̃	l̃	PROPN
ejpam-5845	595	28	,	,	PUNCT
ejpam-5845	595	29	é	é	PROPN
ejpam-5845	595	30	)	)	PUNCT
ejpam-5845	595	31	are	be	AUX
ejpam-5845	595	32	qpns	qpns	NOUN
ejpam-5845	595	33	p	p	ADJ
ejpam-5845	595	34	-	-	PUNCT
ejpam-5845	595	35	open	open	ADJ
ejpam-5845	595	36	sets	set	NOUN
ejpam-5845	595	37	.	.	PUNCT
ejpam-5845	596	1	also	also	ADV
ejpam-5845	596	2	,	,	PUNCT
ejpam-5845	596	3	(	(	PUNCT
ejpam-5845	596	4	j̃	j̃	PROPN
ejpam-5845	596	5	,	,	PUNCT
ejpam-5845	596	6	é	é	PROPN
ejpam-5845	596	7	)	)	PUNCT
ejpam-5845	596	8	⋒	⋒	X
ejpam-5845	596	9	(	(	PUNCT
ejpam-5845	596	10	l̃	l̃	PROPN
ejpam-5845	596	11	,	,	PUNCT
ejpam-5845	596	12	é	é	PROPN
ejpam-5845	596	13	)	)	PUNCT
ejpam-5845	597	1	≈	≈	PROPN
ejpam-5845	597	2	φ̃	φ̃	PROPN
ejpam-5845	597	3	,	,	PUNCT
ejpam-5845	597	4	because	because	SCONJ
ejpam-5845	597	5	if	if	SCONJ
ejpam-5845	597	6	y⋋⟨p1,p2,p3,p4⟩	y⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	597	7	∈	∈	PROPN
ejpam-5845	597	8	(	(	PUNCT
ejpam-5845	597	9	j̃	j̃	PROPN
ejpam-5845	597	10	,	,	PUNCT
ejpam-5845	597	11	é	é	PROPN
ejpam-5845	597	12	)	)	PUNCT
ejpam-5845	597	13	,	,	PUNCT
ejpam-5845	597	14	then	then	ADV
ejpam-5845	597	15	y⋋⟨p1,p2,p3,p4⟩	y⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	597	16	∈	∈	PROPN
ejpam-5845	597	17	(	(	PUNCT
ejpam-5845	597	18	j̃si⋋⟨p1,p2,p3,p4⟩	j̃si⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	597	19	,	,	PUNCT
ejpam-5845	597	20	é	é	PROPN
ejpam-5845	597	21	)	)	PUNCT
ejpam-5845	597	22	for	for	ADP
ejpam-5845	597	23	some	some	DET
ejpam-5845	597	24	si	si	INTJ
ejpam-5845	597	25	⋋	⋋	NUM
ejpam-5845	597	26	⟨p1,p2,p3,p4⟩	⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	597	27	,	,	PUNCT
ejpam-5845	597	28	which	which	PRON
ejpam-5845	597	29	implies	imply	VERB
ejpam-5845	597	30	y⋋⟨p1,p2,p3,p4⟩	y⋋⟨p1,p2,p3,p4⟩	PROPN
ejpam-5845	597	31	/∈	/∈	PUNCT
ejpam-5845	597	32	(	(	PUNCT
ejpam-5845	597	33	l̃si⋋⟨p1,p2,p3,p4⟩	l̃si⋋⟨p1,p2,p3,p4⟩	INTJ
ejpam-5845	597	34	,	,	PUNCT
ejpam-5845	597	35	é	é	PROPN
ejpam-5845	597	36	)	)	PUNCT
ejpam-5845	597	37	.	.	PUNCT
ejpam-5845	598	1	thus	thus	ADV
ejpam-5845	598	2	,	,	PUNCT
ejpam-5845	598	3	y⋋⟨p1,p2,p3,p4⟩	y⋋⟨p1,p2,p3,p4⟩	NOUN
ejpam-5845	598	4	/∈	/∈	PUNCT
ejpam-5845	598	5	n⋂	n⋂	VERB
ejpam-5845	598	6	i=1	i=1	PROPN
ejpam-5845	599	1	(	(	PUNCT
ejpam-5845	599	2	l̃si⋋⟨p1,p2,p3,p4⟩	l̃si⋋⟨p1,p2,p3,p4⟩	INTJ
ejpam-5845	599	3	,	,	PUNCT
ejpam-5845	599	4	é	é	PROPN
ejpam-5845	599	5	)	)	PUNCT
ejpam-5845	599	6	=	=	SYM
ejpam-5845	599	7	(	(	PUNCT
ejpam-5845	599	8	l̃	l̃	PROPN
ejpam-5845	599	9	,	,	PUNCT
ejpam-5845	599	10	é	é	PROPN
ejpam-5845	599	11	)	)	PUNCT
ejpam-5845	599	12	.	.	PUNCT
ejpam-5845	600	1	hence	hence	ADV
ejpam-5845	600	2	,	,	PUNCT
ejpam-5845	600	3	the	the	DET
ejpam-5845	600	4	result	result	NOUN
ejpam-5845	600	5	follows	follow	VERB
ejpam-5845	600	6	.	.	PUNCT
ejpam-5845	601	1	theorem	theorem	ADJ
ejpam-5845	601	2	15	15	NUM
ejpam-5845	601	3	.	.	PUNCT
ejpam-5845	602	1	let	let	AUX
ejpam-5845	602	2	(	(	PUNCT
ejpam-5845	602	3	ỹ	ỹ	PROPN
ejpam-5845	602	4	,	,	PUNCT
ejpam-5845	602	5	τ1	τ1	NOUN
ejpam-5845	602	6	,	,	PUNCT
ejpam-5845	602	7	τ2	τ2	PROPN
ejpam-5845	602	8	,	,	PUNCT
ejpam-5845	602	9	é	é	PROPN
ejpam-5845	602	10	)	)	PUNCT
ejpam-5845	602	11	be	be	VERB
ejpam-5845	602	12	a	a	DET
ejpam-5845	602	13	qpns	qpns	NOUN
ejpam-5845	602	14	sub	sub	NOUN
ejpam-5845	602	15	-	-	NOUN
ejpam-5845	602	16	space	space	NOUN
ejpam-5845	602	17	of	of	ADP
ejpam-5845	602	18	(	(	PUNCT
ejpam-5845	602	19	m̃	m̃	PROPN
ejpam-5845	602	20	,	,	PUNCT
ejpam-5845	602	21	τ3	τ3	PROPN
ejpam-5845	602	22	,	,	PUNCT
ejpam-5845	602	23	τ4	τ4	PROPN
ejpam-5845	602	24	,	,	PUNCT
ejpam-5845	602	25	é	é	PROPN
ejpam-5845	602	26	)	)	PUNCT
ejpam-5845	602	27	.	.	PUNCT
ejpam-5845	603	1	then	then	ADV
ejpam-5845	603	2	ỹ	ỹ	PROPN
ejpam-5845	603	3	is	be	AUX
ejpam-5845	603	4	qpns	qpns	NOUN
ejpam-5845	603	5	pcompact	pcompact	ADJ
ejpam-5845	603	6	with	with	ADP
ejpam-5845	603	7	respect	respect	NOUN
ejpam-5845	603	8	to	to	ADP
ejpam-5845	603	9	the	the	DET
ejpam-5845	603	10	qpnsbts	qpnsbt	NOUN
ejpam-5845	603	11	τ1	τ1	ADP
ejpam-5845	603	12	⋓	⋓	NOUN
ejpam-5845	603	13	τ2	τ2	NOUN
ejpam-5845	603	14	if	if	SCONJ
ejpam-5845	603	15	and	and	CCONJ
ejpam-5845	603	16	only	only	ADV
ejpam-5845	603	17	if	if	SCONJ
ejpam-5845	603	18	ỹ	ỹ	PROPN
ejpam-5845	603	19	is	be	AUX
ejpam-5845	603	20	qpns	qpns	NOUN
ejpam-5845	603	21	p	p	NOUN
ejpam-5845	603	22	-	-	PUNCT
ejpam-5845	603	23	compact	compact	ADJ
ejpam-5845	603	24	with	with	ADP
ejpam-5845	603	25	respect	respect	NOUN
ejpam-5845	603	26	to	to	ADP
ejpam-5845	603	27	the	the	DET
ejpam-5845	603	28	qpnsbts	qpnsbts	PROPN
ejpam-5845	603	29	τ3	τ3	PROPN
ejpam-5845	603	30	⋓	⋓	PROPN
ejpam-5845	603	31	τ4	τ4	PROPN
ejpam-5845	603	32	.	.	PUNCT
ejpam-5845	604	1	proof	proof	NOUN
ejpam-5845	604	2	.	.	PUNCT
ejpam-5845	605	1	to	to	PART
ejpam-5845	605	2	prove	prove	VERB
ejpam-5845	605	3	that	that	SCONJ
ejpam-5845	605	4	ỹ	ỹ	PROPN
ejpam-5845	605	5	is	be	AUX
ejpam-5845	605	6	qpns	qpns	NOUN
ejpam-5845	605	7	p	p	NOUN
ejpam-5845	605	8	-	-	PUNCT
ejpam-5845	605	9	compact	compact	ADJ
ejpam-5845	605	10	with	with	ADP
ejpam-5845	605	11	respect	respect	NOUN
ejpam-5845	605	12	to	to	ADP
ejpam-5845	605	13	the	the	DET
ejpam-5845	605	14	qpnsts	qpnst	NOUN
ejpam-5845	605	15	τ1	τ1	ADP
ejpam-5845	605	16	⋓	⋓	NOUN
ejpam-5845	605	17	τ2	τ2	NOUN
ejpam-5845	605	18	,	,	PUNCT
ejpam-5845	605	19	let	let	VERB
ejpam-5845	605	20	{	{	PUNCT
ejpam-5845	605	21	(	(	PUNCT
ejpam-5845	605	22	l̃	l̃	PROPN
ejpam-5845	605	23	,	,	PUNCT
ejpam-5845	605	24	é)i	é)i	X
ejpam-5845	605	25	:	:	PUNCT
ejpam-5845	605	26	i	i	PRON
ejpam-5845	605	27	∈	∈	PROPN
ejpam-5845	605	28	i	i	PRON
ejpam-5845	605	29	}	}	PUNCT
ejpam-5845	605	30	be	be	VERB
ejpam-5845	605	31	a	a	DET
ejpam-5845	605	32	soft	soft	ADJ
ejpam-5845	605	33	τ1	τ1	NOUN
ejpam-5845	605	34	⋓	⋓	NOUN
ejpam-5845	605	35	τ2	τ2	NOUN
ejpam-5845	605	36	qpns	qpns	NOUN
ejpam-5845	605	37	p	p	NOUN
ejpam-5845	605	38	-	-	PUNCT
ejpam-5845	605	39	open	open	ADJ
ejpam-5845	605	40	cover	cover	NOUN
ejpam-5845	605	41	of	of	ADP
ejpam-5845	605	42	ỹ	ỹ	PROPN
ejpam-5845	605	43	,	,	PUNCT
ejpam-5845	605	44	then	then	ADV
ejpam-5845	605	45	ỹ	ỹ	PROPN
ejpam-5845	605	46	⊆	⊆	NUM
ejpam-5845	605	47	⋃	⋃	NOUN
ejpam-5845	605	48	i∈i	i∈i	ADJ
ejpam-5845	605	49	(	(	PUNCT
ejpam-5845	605	50	l̃	l̃	PROPN
ejpam-5845	605	51	,	,	PUNCT
ejpam-5845	605	52	é)i	é)i	PROPN
ejpam-5845	605	53	.	.	PROPN
ejpam-5845	605	54	since	since	SCONJ
ejpam-5845	605	55	(	(	PUNCT
ejpam-5845	605	56	l̃	l̃	PROPN
ejpam-5845	605	57	,	,	PUNCT
ejpam-5845	605	58	é)i	é)i	X
ejpam-5845	605	59	∈	∈	PROPN
ejpam-5845	605	60	τ1	τ1	PROPN
ejpam-5845	605	61	⋓	⋓	NOUN
ejpam-5845	605	62	τ2	τ2	NOUN
ejpam-5845	605	63	,	,	PUNCT
ejpam-5845	605	64	there	there	PRON
ejpam-5845	605	65	exists	exist	VERB
ejpam-5845	605	66	(	(	PUNCT
ejpam-5845	605	67	j̃	j̃	PROPN
ejpam-5845	605	68	,	,	PUNCT
ejpam-5845	605	69	é)i	é)i	PROPN
ejpam-5845	605	70	∈	∈	PROPN
ejpam-5845	605	71	τ3	τ3	NOUN
ejpam-5845	605	72	⋓	⋓	NOUN
ejpam-5845	605	73	τ4	τ4	NOUN
ejpam-5845	605	74	such	such	ADJ
ejpam-5845	605	75	that	that	SCONJ
ejpam-5845	605	76	(	(	PUNCT
ejpam-5845	605	77	l̃	l̃	PROPN
ejpam-5845	605	78	,	,	PUNCT
ejpam-5845	605	79	é)i	é)i	X
ejpam-5845	605	80	=	=	X
ejpam-5845	605	81	(	(	PUNCT
ejpam-5845	605	82	j̃	j̃	PROPN
ejpam-5845	605	83	,	,	PUNCT
ejpam-5845	605	84	é)i	é)i	PROPN
ejpam-5845	605	85	⋒	⋒	PROPN
ejpam-5845	605	86	(	(	PUNCT
ejpam-5845	605	87	τ3	τ3	PROPN
ejpam-5845	605	88	⋓	⋓	PROPN
ejpam-5845	605	89	τ4	τ4	PROPN
ejpam-5845	605	90	)	)	PUNCT
ejpam-5845	605	91	,	,	PUNCT
ejpam-5845	605	92	which	which	PRON
ejpam-5845	605	93	implies	imply	VERB
ejpam-5845	605	94	that	that	SCONJ
ejpam-5845	605	95	(	(	PUNCT
ejpam-5845	605	96	l̃	l̃	PROPN
ejpam-5845	605	97	,	,	PUNCT
ejpam-5845	605	98	é)i	é)i	ADP
ejpam-5845	605	99	⊆	⊆	NUM
ejpam-5845	605	100	(	(	PUNCT
ejpam-5845	605	101	j̃	j̃	PROPN
ejpam-5845	605	102	,	,	PUNCT
ejpam-5845	605	103	é)i	é)i	PROPN
ejpam-5845	605	104	.	.	NOUN
ejpam-5845	605	105	thus,⋃	thus,⋃	NOUN
ejpam-5845	605	106	i∈i	i∈i	ADJ
ejpam-5845	605	107	(	(	PUNCT
ejpam-5845	605	108	l̃	l̃	PROPN
ejpam-5845	605	109	,	,	PUNCT
ejpam-5845	605	110	é)i	é)i	X
ejpam-5845	605	111	⊆	⊆	SYM
ejpam-5845	605	112	⋃	⋃	ADP
ejpam-5845	605	113	i∈i	i∈i	NOUN
ejpam-5845	605	114	(	(	PUNCT
ejpam-5845	605	115	j̃	j̃	PROPN
ejpam-5845	605	116	,	,	PUNCT
ejpam-5845	605	117	é)i	é)i	PROPN
ejpam-5845	605	118	.	.	NOUN
ejpam-5845	605	119	since	since	SCONJ
ejpam-5845	605	120	ỹ	ỹ	PROPN
ejpam-5845	605	121	⊆	⊆	NUM
ejpam-5845	605	122	⋃	⋃	PROPN
ejpam-5845	605	123	i∈i(l̃	i∈i(l̃	PRON
ejpam-5845	605	124	,	,	PUNCT
ejpam-5845	605	125	é)i	é)i	AUX
ejpam-5845	605	126	,	,	PUNCT
ejpam-5845	605	127	it	it	PRON
ejpam-5845	605	128	follows	follow	VERB
ejpam-5845	605	129	that	that	SCONJ
ejpam-5845	605	130	ỹ	ỹ	PROPN
ejpam-5845	605	131	⊆	⊆	NUM
ejpam-5845	605	132	⋃	⋃	ADP
ejpam-5845	605	133	i∈i(j̃	i∈i(j̃	NOUN
ejpam-5845	605	134	,	,	PUNCT
ejpam-5845	605	135	é)i	é)i	X
ejpam-5845	605	136	.	.	NOUN
ejpam-5845	605	137	as	as	SCONJ
ejpam-5845	605	138	ỹ	ỹ	PROPN
ejpam-5845	605	139	is	be	AUX
ejpam-5845	605	140	qpns	qpns	NOUN
ejpam-5845	605	141	p	p	NOUN
ejpam-5845	605	142	-	-	PUNCT
ejpam-5845	605	143	compact	compact	ADJ
ejpam-5845	605	144	with	with	ADP
ejpam-5845	605	145	respect	respect	NOUN
ejpam-5845	605	146	to	to	ADP
ejpam-5845	605	147	τ3	τ3	PROPN
ejpam-5845	605	148	⋓	⋓	PROPN
ejpam-5845	605	149	τ4	τ4	PROPN
ejpam-5845	605	150	,	,	PUNCT
ejpam-5845	605	151	the	the	DET
ejpam-5845	605	152	cover	cover	NOUN
ejpam-5845	605	153	{	{	PUNCT
ejpam-5845	605	154	(	(	PUNCT
ejpam-5845	605	155	j̃	j̃	PROPN
ejpam-5845	605	156	,	,	PUNCT
ejpam-5845	605	157	é)i	é)i	X
ejpam-5845	605	158	:	:	PUNCT
ejpam-5845	605	159	i	i	PRON
ejpam-5845	605	160	∈	∈	PROPN
ejpam-5845	606	1	i	i	PRON
ejpam-5845	606	2	}	}	PUNCT
ejpam-5845	606	3	has	have	VERB
ejpam-5845	606	4	a	a	DET
ejpam-5845	606	5	finite	finite	ADJ
ejpam-5845	606	6	subcover	subcover	PROPN
ejpam-5845	606	7	{	{	PUNCT
ejpam-5845	606	8	(	(	PUNCT
ejpam-5845	606	9	j̃	j̃	PROPN
ejpam-5845	606	10	,	,	PUNCT
ejpam-5845	606	11	é)ir	é)ir	VERB
ejpam-5845	606	12	:	:	PUNCT
ejpam-5845	606	13	r	r	NOUN
ejpam-5845	606	14	=	=	SYM
ejpam-5845	606	15	1	1	NUM
ejpam-5845	606	16	,	,	PUNCT
ejpam-5845	606	17	2	2	NUM
ejpam-5845	606	18	,	,	PUNCT
ejpam-5845	606	19	.	.	PUNCT
ejpam-5845	606	20	.	.	PUNCT
ejpam-5845	607	1	.	.	PUNCT
ejpam-5845	607	2	,	,	PUNCT
ejpam-5845	607	3	n	n	CCONJ
ejpam-5845	607	4	}	}	PUNCT
ejpam-5845	607	5	.	.	PUNCT
ejpam-5845	608	1	thus	thus	ADV
ejpam-5845	608	2	,	,	PUNCT
ejpam-5845	608	3	ỹ	ỹ	PROPN
ejpam-5845	608	4	⊆	⊆	NUM
ejpam-5845	608	5	n⋃	n⋃	PUNCT
ejpam-5845	608	6	r=1	r=1	NOUN
ejpam-5845	608	7	(	(	PUNCT
ejpam-5845	608	8	j̃	j̃	PROPN
ejpam-5845	608	9	,	,	PUNCT
ejpam-5845	608	10	é)ir	é)ir	INTJ
ejpam-5845	608	11	,	,	PUNCT
ejpam-5845	608	12	which	which	PRON
ejpam-5845	608	13	implies	imply	VERB
ejpam-5845	608	14	that	that	SCONJ
ejpam-5845	608	15	{	{	PUNCT
ejpam-5845	608	16	(	(	PUNCT
ejpam-5845	608	17	l̃	l̃	PROPN
ejpam-5845	608	18	,	,	PUNCT
ejpam-5845	608	19	é)ir	é)ir	VERB
ejpam-5845	608	20	:	:	PUNCT
ejpam-5845	608	21	1	1	NUM
ejpam-5845	608	22	≤	≤	NUM
ejpam-5845	608	23	r	r	NOUN
ejpam-5845	608	24	≤	≤	NUM
ejpam-5845	608	25	n	n	CCONJ
ejpam-5845	608	26	}	}	PUNCT
ejpam-5845	608	27	is	be	AUX
ejpam-5845	608	28	a	a	DET
ejpam-5845	608	29	soft	soft	ADJ
ejpam-5845	608	30	τ1	τ1	NOUN
ejpam-5845	608	31	⋓	⋓	NOUN
ejpam-5845	608	32	τ2	τ2	NOUN
ejpam-5845	608	33	qpns	qpns	NOUN
ejpam-5845	608	34	p	p	NOUN
ejpam-5845	608	35	-	-	PUNCT
ejpam-5845	608	36	open	open	ADJ
ejpam-5845	608	37	cover	cover	NOUN
ejpam-5845	608	38	of	of	ADP
ejpam-5845	608	39	ỹ	ỹ	PROPN
ejpam-5845	608	40	,	,	PUNCT
ejpam-5845	608	41	proving	prove	VERB
ejpam-5845	608	42	qpns	qpns	NOUN
ejpam-5845	608	43	p	p	NOUN
ejpam-5845	608	44	-	-	PUNCT
ejpam-5845	608	45	compactness	compactness	NOUN
ejpam-5845	608	46	.	.	PUNCT
ejpam-5845	609	1	m.	m.	NOUN
ejpam-5845	609	2	m.	m.	PROPN
ejpam-5845	609	3	saeed	saeed	PROPN
ejpam-5845	609	4	et	et	PROPN
ejpam-5845	609	5	al	al	PROPN
ejpam-5845	609	6	.	.	PUNCT
ejpam-5845	609	7	/	/	SYM
ejpam-5845	609	8	eur	eur	PROPN
ejpam-5845	609	9	.	.	PUNCT
ejpam-5845	610	1	j.	j.	PROPN
ejpam-5845	610	2	pure	pure	PROPN
ejpam-5845	610	3	appl	appl	PROPN
ejpam-5845	610	4	.	.	PROPN
ejpam-5845	610	5	math	math	PROPN
ejpam-5845	610	6	,	,	PUNCT
ejpam-5845	610	7	18	18	NUM
ejpam-5845	610	8	(	(	PUNCT
ejpam-5845	610	9	2	2	NUM
ejpam-5845	610	10	)	)	PUNCT
ejpam-5845	610	11	(	(	PUNCT
ejpam-5845	610	12	2025	2025	NUM
ejpam-5845	610	13	)	)	PUNCT
ejpam-5845	610	14	,	,	PUNCT
ejpam-5845	610	15	5845	5845	NUM
ejpam-5845	610	16	26	26	NUM
ejpam-5845	610	17	of	of	ADP
ejpam-5845	610	18	32	32	NUM
ejpam-5845	610	19	conversely	conversely	ADV
ejpam-5845	610	20	,	,	PUNCT
ejpam-5845	610	21	suppose	suppose	VERB
ejpam-5845	610	22	ỹ	ỹ	PROPN
ejpam-5845	610	23	is	be	AUX
ejpam-5845	610	24	qpns	qpns	NOUN
ejpam-5845	610	25	p	p	NOUN
ejpam-5845	610	26	-	-	PUNCT
ejpam-5845	610	27	compact	compact	ADJ
ejpam-5845	610	28	with	with	ADP
ejpam-5845	610	29	respect	respect	NOUN
ejpam-5845	610	30	to	to	ADP
ejpam-5845	610	31	τ1	τ1	PROPN
ejpam-5845	610	32	⋓	⋓	NOUN
ejpam-5845	610	33	τ2	τ2	PROPN
ejpam-5845	610	34	.	.	PUNCT
ejpam-5845	611	1	let	let	VERB
ejpam-5845	611	2	{	{	PUNCT
ejpam-5845	611	3	(	(	PUNCT
ejpam-5845	611	4	j̃	j̃	PROPN
ejpam-5845	611	5	,	,	PUNCT
ejpam-5845	611	6	é)i	é)i	X
ejpam-5845	611	7	:	:	PUNCT
ejpam-5845	611	8	i	i	PRON
ejpam-5845	611	9	∈	∈	PROPN
ejpam-5845	612	1	i	i	PRON
ejpam-5845	612	2	}	}	PUNCT
ejpam-5845	612	3	be	be	VERB
ejpam-5845	612	4	a	a	DET
ejpam-5845	612	5	soft	soft	ADJ
ejpam-5845	612	6	τ3	τ3	NOUN
ejpam-5845	612	7	⋓	⋓	NOUN
ejpam-5845	612	8	τ4	τ4	PROPN
ejpam-5845	612	9	qpns	qpns	NOUN
ejpam-5845	612	10	p	p	NOUN
ejpam-5845	612	11	-	-	PUNCT
ejpam-5845	612	12	open	open	ADJ
ejpam-5845	612	13	cover	cover	NOUN
ejpam-5845	612	14	of	of	ADP
ejpam-5845	612	15	ỹ	ỹ	PROPN
ejpam-5845	612	16	.	.	PUNCT
ejpam-5845	613	1	then	then	ADV
ejpam-5845	613	2	,	,	PUNCT
ejpam-5845	613	3	ỹ	ỹ	PROPN
ejpam-5845	613	4	⊆	⊆	NUM
ejpam-5845	613	5	⋃	⋃	ADP
ejpam-5845	613	6	i∈i	i∈i	NOUN
ejpam-5845	613	7	(	(	PUNCT
ejpam-5845	613	8	j̃	j̃	PROPN
ejpam-5845	613	9	,	,	PUNCT
ejpam-5845	613	10	é)i	é)i	X
ejpam-5845	613	11	.	.	NOUN
ejpam-5845	613	12	defining	define	VERB
ejpam-5845	613	13	(	(	PUNCT
ejpam-5845	613	14	l̃	l̃	PROPN
ejpam-5845	613	15	,	,	PUNCT
ejpam-5845	613	16	é)i	é)i	X
ejpam-5845	613	17	=	=	SYM
ejpam-5845	613	18	ỹ	ỹ	PROPN
ejpam-5845	613	19	⋒	⋒	PROPN
ejpam-5845	613	20	(	(	PUNCT
ejpam-5845	613	21	j̃	j̃	PROPN
ejpam-5845	613	22	,	,	PUNCT
ejpam-5845	613	23	é)i	é)i	PROPN
ejpam-5845	613	24	,	,	PUNCT
ejpam-5845	613	25	we	we	PRON
ejpam-5845	613	26	get	get	VERB
ejpam-5845	613	27	that	that	PRON
ejpam-5845	613	28	{	{	PUNCT
ejpam-5845	613	29	(	(	PUNCT
ejpam-5845	613	30	l̃	l̃	PROPN
ejpam-5845	613	31	,	,	PUNCT
ejpam-5845	613	32	é)i	é)i	X
ejpam-5845	613	33	:	:	PUNCT
ejpam-5845	613	34	i	i	PRON
ejpam-5845	613	35	∈	∈	PROPN
ejpam-5845	613	36	i	i	PRON
ejpam-5845	613	37	}	}	PUNCT
ejpam-5845	613	38	is	be	AUX
ejpam-5845	613	39	a	a	DET
ejpam-5845	613	40	τ1	τ1	NOUN
ejpam-5845	613	41	⋓	⋓	NOUN
ejpam-5845	613	42	τ2	τ2	NOUN
ejpam-5845	613	43	qpns	qpns	NOUN
ejpam-5845	613	44	p	p	NOUN
ejpam-5845	613	45	-	-	PUNCT
ejpam-5845	613	46	open	open	ADJ
ejpam-5845	613	47	cover	cover	NOUN
ejpam-5845	613	48	of	of	ADP
ejpam-5845	613	49	ỹ	ỹ	PROPN
ejpam-5845	613	50	,	,	PUNCT
ejpam-5845	613	51	which	which	PRON
ejpam-5845	613	52	must	must	AUX
ejpam-5845	613	53	have	have	VERB
ejpam-5845	613	54	a	a	DET
ejpam-5845	613	55	finite	finite	ADJ
ejpam-5845	613	56	subcover	subcover	PROPN
ejpam-5845	613	57	{	{	PUNCT
ejpam-5845	613	58	(	(	PUNCT
ejpam-5845	613	59	l̃	l̃	PROPN
ejpam-5845	613	60	,	,	PUNCT
ejpam-5845	613	61	é)ir	é)ir	VERB
ejpam-5845	613	62	:	:	PUNCT
ejpam-5845	613	63	1	1	NUM
ejpam-5845	613	64	≤	≤	NUM
ejpam-5845	613	65	r	r	NOUN
ejpam-5845	613	66	≤	≤	NOUN
ejpam-5845	613	67	n	n	CCONJ
ejpam-5845	613	68	}	}	PUNCT
ejpam-5845	613	69	.	.	PUNCT
ejpam-5845	614	1	thus	thus	ADV
ejpam-5845	614	2	,	,	PUNCT
ejpam-5845	614	3	ỹ	ỹ	PROPN
ejpam-5845	614	4	⊆	⊆	NUM
ejpam-5845	614	5	n⋃	n⋃	PUNCT
ejpam-5845	614	6	r=1	r=1	NOUN
ejpam-5845	614	7	(	(	PUNCT
ejpam-5845	614	8	l̃	l̃	PROPN
ejpam-5845	614	9	,	,	PUNCT
ejpam-5845	614	10	é)ir	é)ir	VERB
ejpam-5845	614	11	.	.	PUNCT
ejpam-5845	615	1	since	since	SCONJ
ejpam-5845	615	2	(	(	PUNCT
ejpam-5845	615	3	l̃	l̃	PROPN
ejpam-5845	615	4	,	,	PUNCT
ejpam-5845	615	5	é)ir	é)ir	VERB
ejpam-5845	615	6	⊆	⊆	NUM
ejpam-5845	615	7	(	(	PUNCT
ejpam-5845	615	8	j̃	j̃	PROPN
ejpam-5845	615	9	,	,	PUNCT
ejpam-5845	615	10	é)ir	é)ir	VERB
ejpam-5845	615	11	,	,	PUNCT
ejpam-5845	615	12	it	it	PRON
ejpam-5845	615	13	follows	follow	VERB
ejpam-5845	615	14	that	that	SCONJ
ejpam-5845	615	15	ỹ	ỹ	PROPN
ejpam-5845	615	16	⊆	⊆	NUM
ejpam-5845	615	17	n⋃	n⋃	PUNCT
ejpam-5845	615	18	r=1	r=1	NOUN
ejpam-5845	615	19	(	(	PUNCT
ejpam-5845	615	20	j̃	j̃	PROPN
ejpam-5845	615	21	,	,	PUNCT
ejpam-5845	615	22	é)ir	é)ir	INTJ
ejpam-5845	615	23	,	,	PUNCT
ejpam-5845	615	24	which	which	PRON
ejpam-5845	615	25	proves	prove	VERB
ejpam-5845	615	26	that	that	SCONJ
ejpam-5845	615	27	ỹ	ỹ	PROPN
ejpam-5845	615	28	is	be	AUX
ejpam-5845	615	29	qpns	qpns	NOUN
ejpam-5845	615	30	p	p	NOUN
ejpam-5845	615	31	-	-	PUNCT
ejpam-5845	615	32	compact	compact	ADJ
ejpam-5845	615	33	with	with	ADP
ejpam-5845	615	34	respect	respect	NOUN
ejpam-5845	615	35	to	to	ADP
ejpam-5845	615	36	τ3	τ3	PROPN
ejpam-5845	615	37	⋓	⋓	PROPN
ejpam-5845	615	38	τ4	τ4	PROPN
ejpam-5845	615	39	.	.	PUNCT
ejpam-5845	616	1	6	6	NUM
ejpam-5845	616	2	.	.	X
ejpam-5845	616	3	comparative	comparative	ADJ
ejpam-5845	616	4	analysis	analysis	NOUN
ejpam-5845	616	5	the	the	DET
ejpam-5845	616	6	following	follow	VERB
ejpam-5845	616	7	table	table	NOUN
ejpam-5845	616	8	1	1	NUM
ejpam-5845	616	9	provides	provide	VERB
ejpam-5845	616	10	a	a	DET
ejpam-5845	616	11	detailed	detailed	ADJ
ejpam-5845	616	12	comparative	comparative	ADJ
ejpam-5845	616	13	analysis	analysis	NOUN
ejpam-5845	616	14	of	of	ADP
ejpam-5845	616	15	the	the	DET
ejpam-5845	616	16	proposed	propose	VERB
ejpam-5845	616	17	methods	method	NOUN
ejpam-5845	616	18	,	,	PUNCT
ejpam-5845	616	19	contrasting	contrast	VERB
ejpam-5845	616	20	them	they	PRON
ejpam-5845	616	21	with	with	ADP
ejpam-5845	616	22	the	the	DET
ejpam-5845	616	23	established	establish	VERB
ejpam-5845	616	24	techniques	technique	NOUN
ejpam-5845	616	25	discussed	discuss	VERB
ejpam-5845	616	26	in	in	ADP
ejpam-5845	616	27	[	[	X
ejpam-5845	616	28	10	10	NUM
ejpam-5845	616	29	]	]	PUNCT
ejpam-5845	616	30	.	.	PUNCT
ejpam-5845	617	1	this	this	DET
ejpam-5845	617	2	comparison	comparison	NOUN
ejpam-5845	617	3	highlights	highlight	VERB
ejpam-5845	617	4	the	the	DET
ejpam-5845	617	5	strengths	strength	NOUN
ejpam-5845	617	6	and	and	CCONJ
ejpam-5845	617	7	weaknesses	weakness	NOUN
ejpam-5845	617	8	of	of	ADP
ejpam-5845	617	9	each	each	DET
ejpam-5845	617	10	approach	approach	NOUN
ejpam-5845	617	11	,	,	PUNCT
ejpam-5845	617	12	offering	offer	VERB
ejpam-5845	617	13	insights	insight	NOUN
ejpam-5845	617	14	into	into	ADP
ejpam-5845	617	15	how	how	SCONJ
ejpam-5845	617	16	the	the	DET
ejpam-5845	617	17	proposed	propose	VERB
ejpam-5845	617	18	methods	method	NOUN
ejpam-5845	617	19	perform	perform	VERB
ejpam-5845	617	20	relative	relative	ADJ
ejpam-5845	617	21	to	to	ADP
ejpam-5845	617	22	the	the	DET
ejpam-5845	617	23	established	establish	VERB
ejpam-5845	617	24	techniques	technique	NOUN
ejpam-5845	617	25	across	across	ADP
ejpam-5845	617	26	various	various	ADJ
ejpam-5845	617	27	key	key	ADJ
ejpam-5845	617	28	factors	factor	NOUN
ejpam-5845	617	29	:	:	PUNCT
ejpam-5845	617	30	feature	feature	NOUN
ejpam-5845	617	31	/	/	SYM
ejpam-5845	617	32	aspect	aspect	NOUN
ejpam-5845	617	33	published	publish	VERB
ejpam-5845	617	34	work	work	NOUN
ejpam-5845	617	35	(	(	PUNCT
ejpam-5845	617	36	nss	nss	NOUN
ejpam-5845	617	37	&	&	CCONJ
ejpam-5845	617	38	nsts	nst	NOUN
ejpam-5845	617	39	)	)	PUNCT
ejpam-5845	618	1	[	[	X
ejpam-5845	618	2	10	10	NUM
ejpam-5845	618	3	]	]	PUNCT
ejpam-5845	618	4	proposed	propose	VERB
ejpam-5845	618	5	work	work	NOUN
ejpam-5845	618	6	(	(	PUNCT
ejpam-5845	618	7	qpnss	qpnss	NOUN
ejpam-5845	618	8	&	&	CCONJ
ejpam-5845	618	9	qpnsts	qpnst	NOUN
ejpam-5845	618	10	)	)	PUNCT
ejpam-5845	618	11	basic	basic	ADJ
ejpam-5845	618	12	framework	framework	NOUN
ejpam-5845	618	13	neutrosophic	neutrosophic	PROPN
ejpam-5845	618	14	set	set	PROPN
ejpam-5845	618	15	theory	theory	NOUN
ejpam-5845	618	16	extends	extend	VERB
ejpam-5845	618	17	fuzzy	fuzzy	ADJ
ejpam-5845	618	18	sets	set	NOUN
ejpam-5845	618	19	(	(	PUNCT
ejpam-5845	618	20	fs	fs	ADJ
ejpam-5845	618	21	)	)	PUNCT
ejpam-5845	618	22	and	and	CCONJ
ejpam-5845	618	23	intuitionistic	intuitionistic	ADJ
ejpam-5845	618	24	fuzzy	fuzzy	ADJ
ejpam-5845	618	25	sets	set	NOUN
ejpam-5845	618	26	(	(	PUNCT
ejpam-5845	618	27	ifs	ifs	PROPN
ejpam-5845	618	28	)	)	PUNCT
ejpam-5845	618	29	by	by	ADP
ejpam-5845	618	30	adding	add	VERB
ejpam-5845	618	31	indeterminacy	indeterminacy	NOUN
ejpam-5845	618	32	.	.	PUNCT
ejpam-5845	619	1	enhances	enhance	VERB
ejpam-5845	619	2	neutrosophic	neutrosophic	ADJ
ejpam-5845	619	3	set	set	NOUN
ejpam-5845	619	4	theory	theory	NOUN
ejpam-5845	619	5	by	by	ADP
ejpam-5845	619	6	introducing	introduce	VERB
ejpam-5845	619	7	a	a	DET
ejpam-5845	619	8	more	more	ADV
ejpam-5845	619	9	detailed	detailed	ADJ
ejpam-5845	619	10	division	division	NOUN
ejpam-5845	619	11	of	of	ADP
ejpam-5845	619	12	indeterminacy	indeterminacy	NOUN
ejpam-5845	619	13	into	into	ADP
ejpam-5845	619	14	two	two	NUM
ejpam-5845	619	15	components	component	NOUN
ejpam-5845	619	16	:	:	PUNCT
ejpam-5845	619	17	relative	relative	ADJ
ejpam-5845	619	18	truth	truth	NOUN
ejpam-5845	619	19	(	(	PUNCT
ejpam-5845	619	20	rt	rt	NOUN
ejpam-5845	619	21	)	)	PUNCT
ejpam-5845	619	22	and	and	CCONJ
ejpam-5845	619	23	relative	relative	ADJ
ejpam-5845	619	24	falsehood	falsehood	NOUN
ejpam-5845	619	25	(	(	PUNCT
ejpam-5845	619	26	rf	rf	NOUN
ejpam-5845	619	27	)	)	PUNCT
ejpam-5845	619	28	.	.	PUNCT
ejpam-5845	620	1	indeterminacy	indeterminacy	NOUN
ejpam-5845	620	2	component	component	NOUN
ejpam-5845	620	3	traditional	traditional	ADJ
ejpam-5845	620	4	neutrosophic	neutrosophic	ADJ
ejpam-5845	620	5	set	set	NOUN
ejpam-5845	620	6	includes	include	VERB
ejpam-5845	620	7	a	a	DET
ejpam-5845	620	8	single	single	ADJ
ejpam-5845	620	9	indeterminate	indeterminate	ADJ
ejpam-5845	620	10	value	value	NOUN
ejpam-5845	620	11	(	(	PUNCT
ejpam-5845	620	12	neutral	neutral	ADJ
ejpam-5845	620	13	membership	membership	NOUN
ejpam-5845	620	14	)	)	PUNCT
ejpam-5845	620	15	.	.	PUNCT
ejpam-5845	621	1	divides	divide	VERB
ejpam-5845	621	2	indeterminacy	indeterminacy	NOUN
ejpam-5845	621	3	into	into	ADP
ejpam-5845	621	4	relative	relative	ADJ
ejpam-5845	621	5	truth	truth	NOUN
ejpam-5845	621	6	(	(	PUNCT
ejpam-5845	621	7	rt	rt	NOUN
ejpam-5845	621	8	)	)	PUNCT
ejpam-5845	621	9	and	and	CCONJ
ejpam-5845	621	10	relative	relative	ADJ
ejpam-5845	621	11	falsehood	falsehood	NOUN
ejpam-5845	621	12	(	(	PUNCT
ejpam-5845	621	13	rf	rf	NOUN
ejpam-5845	621	14	)	)	PUNCT
ejpam-5845	621	15	to	to	PART
ejpam-5845	621	16	refine	refine	VERB
ejpam-5845	621	17	the	the	DET
ejpam-5845	621	18	concept	concept	NOUN
ejpam-5845	621	19	of	of	ADP
ejpam-5845	621	20	indeterminacy	indeterminacy	NOUN
ejpam-5845	621	21	.	.	PUNCT
ejpam-5845	622	1	membership	membership	NOUN
ejpam-5845	622	2	attributes	attribute	VERB
ejpam-5845	622	3	standard	standard	ADJ
ejpam-5845	622	4	neutrosophic	neutrosophic	ADJ
ejpam-5845	622	5	sets	set	NOUN
ejpam-5845	622	6	have	have	VERB
ejpam-5845	622	7	three	three	NUM
ejpam-5845	622	8	membership	membership	NOUN
ejpam-5845	622	9	functions	function	NOUN
ejpam-5845	622	10	:	:	PUNCT
ejpam-5845	622	11	truth	truth	NOUN
ejpam-5845	622	12	,	,	PUNCT
ejpam-5845	622	13	indeterminacy	indeterminacy	NOUN
ejpam-5845	622	14	,	,	PUNCT
ejpam-5845	622	15	and	and	CCONJ
ejpam-5845	622	16	falsehood	falsehood	NOUN
ejpam-5845	622	17	.	.	PUNCT
ejpam-5845	623	1	the	the	DET
ejpam-5845	623	2	proposed	propose	VERB
ejpam-5845	623	3	qpnss	qpnss	NOUN
ejpam-5845	623	4	introduces	introduce	VERB
ejpam-5845	623	5	four	four	NUM
ejpam-5845	623	6	membership	membership	NOUN
ejpam-5845	623	7	functions	function	NOUN
ejpam-5845	623	8	:	:	PUNCT
ejpam-5845	623	9	absolute	absolute	ADJ
ejpam-5845	623	10	truth	truth	NOUN
ejpam-5845	623	11	,	,	PUNCT
ejpam-5845	623	12	relative	relative	ADJ
ejpam-5845	623	13	truth	truth	NOUN
ejpam-5845	623	14	,	,	PUNCT
ejpam-5845	623	15	relative	relative	ADJ
ejpam-5845	623	16	falsehood	falsehood	NOUN
ejpam-5845	623	17	,	,	PUNCT
ejpam-5845	623	18	and	and	CCONJ
ejpam-5845	623	19	absolute	absolute	ADJ
ejpam-5845	623	20	falsehood	falsehood	NOUN
ejpam-5845	623	21	.	.	PUNCT
ejpam-5845	624	1	new	new	ADJ
ejpam-5845	624	2	operations	operation	NOUN
ejpam-5845	624	3	operations	operation	NOUN
ejpam-5845	624	4	like	like	ADP
ejpam-5845	624	5	intersection	intersection	NOUN
ejpam-5845	624	6	,	,	PUNCT
ejpam-5845	624	7	union	union	NOUN
ejpam-5845	624	8	,	,	PUNCT
ejpam-5845	624	9	complement	complement	NOUN
ejpam-5845	624	10	,	,	PUNCT
ejpam-5845	624	11	and	and	CCONJ
ejpam-5845	624	12	subset	subset	NOUN
ejpam-5845	624	13	are	be	AUX
ejpam-5845	624	14	defined	define	VERB
ejpam-5845	624	15	,	,	PUNCT
ejpam-5845	624	16	but	but	CCONJ
ejpam-5845	624	17	with	with	ADP
ejpam-5845	624	18	three	three	NUM
ejpam-5845	624	19	components	component	NOUN
ejpam-5845	624	20	(	(	PUNCT
ejpam-5845	624	21	truth	truth	NOUN
ejpam-5845	624	22	,	,	PUNCT
ejpam-5845	624	23	indeterminacy	indeterminacy	NOUN
ejpam-5845	624	24	,	,	PUNCT
ejpam-5845	624	25	falsehood	falsehood	NOUN
ejpam-5845	624	26	)	)	PUNCT
ejpam-5845	624	27	.	.	PUNCT
ejpam-5845	625	1	new	new	ADJ
ejpam-5845	625	2	operations	operation	NOUN
ejpam-5845	625	3	defined	define	VERB
ejpam-5845	625	4	for	for	ADP
ejpam-5845	625	5	qpnss	qpnss	NOUN
ejpam-5845	625	6	,	,	PUNCT
ejpam-5845	625	7	including	include	VERB
ejpam-5845	625	8	quadri	quadri	NOUN
ejpam-5845	625	9	-	-	PUNCT
ejpam-5845	625	10	partitioned	partition	VERB
ejpam-5845	625	11	soft	soft	ADJ
ejpam-5845	625	12	set	set	NOUN
ejpam-5845	625	13	,	,	PUNCT
ejpam-5845	625	14	subsets	subset	NOUN
ejpam-5845	625	15	,	,	PUNCT
ejpam-5845	625	16	complement	complement	NOUN
ejpam-5845	625	17	,	,	PUNCT
ejpam-5845	625	18	set	set	VERB
ejpam-5845	625	19	difference	difference	NOUN
ejpam-5845	625	20	,	,	PUNCT
ejpam-5845	625	21	null	null	NOUN
ejpam-5845	625	22	set	set	NOUN
ejpam-5845	625	23	,	,	PUNCT
ejpam-5845	625	24	and	and	CCONJ
ejpam-5845	625	25	,	,	PUNCT
ejpam-5845	625	26	and	and	CCONJ
ejpam-5845	625	27	or	or	CCONJ
ejpam-5845	625	28	operations	operation	NOUN
ejpam-5845	625	29	.	.	PUNCT
ejpam-5845	626	1	quadripartitioned	quadripartitione	VERB
ejpam-5845	626	2	neutrosophic	neutrosophic	ADJ
ejpam-5845	626	3	soft	soft	ADJ
ejpam-5845	626	4	set	set	NOUN
ejpam-5845	626	5	no	no	DET
ejpam-5845	626	6	equivalent	equivalent	ADJ
ejpam-5845	626	7	concept	concept	NOUN
ejpam-5845	626	8	in	in	ADP
ejpam-5845	626	9	standard	standard	ADJ
ejpam-5845	626	10	neutrosophic	neutrosophic	ADJ
ejpam-5845	626	11	set	set	NOUN
ejpam-5845	626	12	theory	theory	NOUN
ejpam-5845	626	13	.	.	PUNCT
ejpam-5845	627	1	the	the	DET
ejpam-5845	627	2	main	main	ADJ
ejpam-5845	627	3	novelty	novelty	NOUN
ejpam-5845	627	4	:	:	PUNCT
ejpam-5845	627	5	qpnss	qpnss	NOUN
ejpam-5845	627	6	,	,	PUNCT
ejpam-5845	627	7	which	which	PRON
ejpam-5845	627	8	partitions	partition	VERB
ejpam-5845	627	9	the	the	DET
ejpam-5845	627	10	indeterminate	indeterminate	ADJ
ejpam-5845	627	11	value	value	NOUN
ejpam-5845	627	12	into	into	ADP
ejpam-5845	627	13	rt	rt	PROPN
ejpam-5845	627	14	and	and	CCONJ
ejpam-5845	627	15	rf	rf	PROPN
ejpam-5845	627	16	,	,	PUNCT
ejpam-5845	627	17	providing	provide	VERB
ejpam-5845	627	18	greater	great	ADJ
ejpam-5845	627	19	clarity	clarity	NOUN
ejpam-5845	627	20	in	in	ADP
ejpam-5845	627	21	uncertain	uncertain	ADJ
ejpam-5845	627	22	situations	situation	NOUN
ejpam-5845	627	23	.	.	PUNCT
ejpam-5845	628	1	m.	m.	NOUN
ejpam-5845	628	2	m.	m.	PROPN
ejpam-5845	628	3	saeed	saeed	PROPN
ejpam-5845	628	4	et	et	PROPN
ejpam-5845	628	5	al	al	PROPN
ejpam-5845	628	6	.	.	PUNCT
ejpam-5845	628	7	/	/	SYM
ejpam-5845	628	8	eur	eur	PROPN
ejpam-5845	628	9	.	.	PUNCT
ejpam-5845	629	1	j.	j.	PROPN
ejpam-5845	629	2	pure	pure	PROPN
ejpam-5845	629	3	appl	appl	PROPN
ejpam-5845	629	4	.	.	PROPN
ejpam-5845	629	5	math	math	PROPN
ejpam-5845	629	6	,	,	PUNCT
ejpam-5845	629	7	18	18	NUM
ejpam-5845	629	8	(	(	PUNCT
ejpam-5845	629	9	2	2	NUM
ejpam-5845	629	10	)	)	PUNCT
ejpam-5845	629	11	(	(	PUNCT
ejpam-5845	629	12	2025	2025	NUM
ejpam-5845	629	13	)	)	PUNCT
ejpam-5845	629	14	,	,	PUNCT
ejpam-5845	629	15	5845	5845	NUM
ejpam-5845	629	16	27	27	NUM
ejpam-5845	629	17	of	of	ADP
ejpam-5845	629	18	32	32	NUM
ejpam-5845	629	19	feature	feature	NOUN
ejpam-5845	629	20	/	/	SYM
ejpam-5845	629	21	aspect	aspect	NOUN
ejpam-5845	629	22	published	publish	VERB
ejpam-5845	629	23	work	work	NOUN
ejpam-5845	629	24	(	(	PUNCT
ejpam-5845	629	25	nss	nss	NOUN
ejpam-5845	629	26	&	&	CCONJ
ejpam-5845	629	27	nsts	nst	NOUN
ejpam-5845	629	28	)	)	PUNCT
ejpam-5845	630	1	[	[	X
ejpam-5845	630	2	10	10	NUM
ejpam-5845	630	3	]	]	PUNCT
ejpam-5845	630	4	proposed	propose	VERB
ejpam-5845	630	5	work	work	NOUN
ejpam-5845	630	6	(	(	PUNCT
ejpam-5845	630	7	qpnss	qpnss	NOUN
ejpam-5845	630	8	&	&	CCONJ
ejpam-5845	630	9	qpnsts	qpnst	NOUN
ejpam-5845	630	10	)	)	PUNCT
ejpam-5845	630	11	topological	topological	ADJ
ejpam-5845	630	12	space	space	NOUN
ejpam-5845	630	13	neutrosophic	neutrosophic	PROPN
ejpam-5845	630	14	topological	topological	ADJ
ejpam-5845	630	15	spaces	space	NOUN
ejpam-5845	630	16	(	(	PUNCT
ejpam-5845	630	17	nst	nst	NOUN
ejpam-5845	630	18	)	)	PUNCT
ejpam-5845	630	19	exist	exist	VERB
ejpam-5845	630	20	,	,	PUNCT
ejpam-5845	630	21	but	but	CCONJ
ejpam-5845	630	22	they	they	PRON
ejpam-5845	630	23	deal	deal	VERB
ejpam-5845	630	24	with	with	ADP
ejpam-5845	630	25	three	three	NUM
ejpam-5845	630	26	membership	membership	NOUN
ejpam-5845	630	27	functions	function	NOUN
ejpam-5845	630	28	(	(	PUNCT
ejpam-5845	630	29	truth	truth	NOUN
ejpam-5845	630	30	,	,	PUNCT
ejpam-5845	630	31	indeterminacy	indeterminacy	NOUN
ejpam-5845	630	32	,	,	PUNCT
ejpam-5845	630	33	falsehood	falsehood	NOUN
ejpam-5845	630	34	)	)	PUNCT
ejpam-5845	630	35	.	.	PUNCT
ejpam-5845	631	1	a	a	DET
ejpam-5845	631	2	new	new	ADJ
ejpam-5845	631	3	concept	concept	NOUN
ejpam-5845	631	4	,	,	PUNCT
ejpam-5845	631	5	qpnsts	qpnst	NOUN
ejpam-5845	631	6	,	,	PUNCT
ejpam-5845	631	7	is	be	AUX
ejpam-5845	631	8	defined	define	VERB
ejpam-5845	631	9	,	,	PUNCT
ejpam-5845	631	10	adding	add	VERB
ejpam-5845	631	11	topological	topological	ADJ
ejpam-5845	631	12	properties	property	NOUN
ejpam-5845	631	13	like	like	ADP
ejpam-5845	631	14	preopen	preopen	ADJ
ejpam-5845	631	15	sets	set	NOUN
ejpam-5845	631	16	(	(	PUNCT
ejpam-5845	631	17	p	p	X
ejpam-5845	631	18	-	-	PUNCT
ejpam-5845	631	19	open	open	ADJ
ejpam-5845	631	20	)	)	PUNCT
ejpam-5845	631	21	,	,	PUNCT
ejpam-5845	631	22	interior	interior	NOUN
ejpam-5845	631	23	,	,	PUNCT
ejpam-5845	631	24	closure	closure	NOUN
ejpam-5845	631	25	,	,	PUNCT
ejpam-5845	631	26	compactness	compactness	NOUN
ejpam-5845	631	27	,	,	PUNCT
ejpam-5845	631	28	and	and	CCONJ
ejpam-5845	631	29	reducibility	reducibility	NOUN
ejpam-5845	631	30	to	to	PART
ejpam-5845	631	31	finite	finite	VERB
ejpam-5845	631	32	subcovers	subcover	NOUN
ejpam-5845	631	33	.	.	PUNCT
ejpam-5845	632	1	compactness	compactness	NOUN
ejpam-5845	632	2	and	and	CCONJ
ejpam-5845	632	3	reducibility	reducibility	NOUN
ejpam-5845	632	4	compactness	compactness	NOUN
ejpam-5845	632	5	in	in	ADP
ejpam-5845	632	6	neutrosophic	neutrosophic	ADJ
ejpam-5845	632	7	topological	topological	ADJ
ejpam-5845	632	8	spaces	space	NOUN
ejpam-5845	632	9	is	be	AUX
ejpam-5845	632	10	studied	study	VERB
ejpam-5845	632	11	,	,	PUNCT
ejpam-5845	632	12	but	but	CCONJ
ejpam-5845	632	13	it	it	PRON
ejpam-5845	632	14	focuses	focus	VERB
ejpam-5845	632	15	on	on	ADP
ejpam-5845	632	16	three	three	NUM
ejpam-5845	632	17	membership	membership	NOUN
ejpam-5845	632	18	functions	function	NOUN
ejpam-5845	632	19	.	.	PUNCT
ejpam-5845	633	1	explores	explore	NOUN
ejpam-5845	633	2	qpns	qpns	NOUN
ejpam-5845	633	3	compactness	compactness	NOUN
ejpam-5845	633	4	,	,	PUNCT
ejpam-5845	633	5	intersection	intersection	NOUN
ejpam-5845	633	6	of	of	ADP
ejpam-5845	633	7	qpns	qpns	NOUN
ejpam-5845	633	8	p	p	NOUN
ejpam-5845	633	9	-	-	PUNCT
ejpam-5845	633	10	closed	close	VERB
ejpam-5845	633	11	sets	set	NOUN
ejpam-5845	633	12	,	,	PUNCT
ejpam-5845	633	13	and	and	CCONJ
ejpam-5845	633	14	qpns	qpns	NOUN
ejpam-5845	633	15	p	p	ADJ
ejpam-5845	633	16	-	-	PUNCT
ejpam-5845	633	17	compact	compact	ADJ
ejpam-5845	633	18	spaces	space	NOUN
ejpam-5845	633	19	,	,	PUNCT
ejpam-5845	633	20	introducing	introduce	VERB
ejpam-5845	633	21	new	new	ADJ
ejpam-5845	633	22	compactness	compactness	NOUN
ejpam-5845	633	23	-	-	PUNCT
ejpam-5845	633	24	related	relate	VERB
ejpam-5845	633	25	concepts	concept	NOUN
ejpam-5845	633	26	.	.	PUNCT
ejpam-5845	634	1	applications	application	NOUN
ejpam-5845	634	2	and	and	CCONJ
ejpam-5845	634	3	use	use	VERB
ejpam-5845	634	4	cases	case	NOUN
ejpam-5845	634	5	applied	apply	VERB
ejpam-5845	634	6	in	in	ADP
ejpam-5845	634	7	areas	area	NOUN
ejpam-5845	634	8	like	like	ADP
ejpam-5845	634	9	decisionmaking	decisionmake	VERB
ejpam-5845	634	10	,	,	PUNCT
ejpam-5845	634	11	multi	multi	ADJ
ejpam-5845	634	12	-	-	ADJ
ejpam-5845	634	13	criteria	criteria	ADJ
ejpam-5845	634	14	decision	decision	NOUN
ejpam-5845	634	15	analysis	analysis	NOUN
ejpam-5845	634	16	,	,	PUNCT
ejpam-5845	634	17	and	and	CCONJ
ejpam-5845	634	18	uncertainty	uncertainty	NOUN
ejpam-5845	634	19	modeling	modeling	NOUN
ejpam-5845	634	20	.	.	PUNCT
ejpam-5845	635	1	focus	focus	VERB
ejpam-5845	635	2	on	on	ADP
ejpam-5845	635	3	providing	provide	VERB
ejpam-5845	635	4	clearer	clear	ADJ
ejpam-5845	635	5	and	and	CCONJ
ejpam-5845	635	6	more	more	ADV
ejpam-5845	635	7	precise	precise	ADJ
ejpam-5845	635	8	representations	representation	NOUN
ejpam-5845	635	9	of	of	ADP
ejpam-5845	635	10	uncertainty	uncertainty	NOUN
ejpam-5845	635	11	,	,	PUNCT
ejpam-5845	635	12	with	with	ADP
ejpam-5845	635	13	potential	potential	ADJ
ejpam-5845	635	14	applications	application	NOUN
ejpam-5845	635	15	in	in	ADP
ejpam-5845	635	16	soft	soft	ADJ
ejpam-5845	635	17	topological	topological	ADJ
ejpam-5845	635	18	spaces	space	NOUN
ejpam-5845	635	19	and	and	CCONJ
ejpam-5845	635	20	complex	complex	ADJ
ejpam-5845	635	21	decision	decision	NOUN
ejpam-5845	635	22	-	-	PUNCT
ejpam-5845	635	23	making	making	NOUN
ejpam-5845	635	24	.	.	PUNCT
ejpam-5845	636	1	theoretical	theoretical	ADJ
ejpam-5845	636	2	contribution	contribution	NOUN
ejpam-5845	636	3	introduces	introduce	VERB
ejpam-5845	636	4	a	a	DET
ejpam-5845	636	5	formal	formal	ADJ
ejpam-5845	636	6	framework	framework	NOUN
ejpam-5845	636	7	for	for	ADP
ejpam-5845	636	8	handling	handle	VERB
ejpam-5845	636	9	uncertain	uncertain	ADJ
ejpam-5845	636	10	,	,	PUNCT
ejpam-5845	636	11	imprecise	imprecise	ADV
ejpam-5845	636	12	,	,	PUNCT
ejpam-5845	636	13	or	or	CCONJ
ejpam-5845	636	14	indeterminate	indeterminate	ADJ
ejpam-5845	636	15	information	information	NOUN
ejpam-5845	636	16	.	.	PUNCT
ejpam-5845	637	1	advances	advance	NOUN
ejpam-5845	637	2	neutrosophic	neutrosophic	ADJ
ejpam-5845	637	3	theory	theory	NOUN
ejpam-5845	637	4	by	by	ADP
ejpam-5845	637	5	providing	provide	VERB
ejpam-5845	637	6	a	a	DET
ejpam-5845	637	7	more	more	ADV
ejpam-5845	637	8	granular	granular	ADJ
ejpam-5845	637	9	structure	structure	NOUN
ejpam-5845	637	10	(	(	PUNCT
ejpam-5845	637	11	quadripartitioned	quadripartitione	VERB
ejpam-5845	637	12	sets	set	NOUN
ejpam-5845	637	13	)	)	PUNCT
ejpam-5845	637	14	and	and	CCONJ
ejpam-5845	637	15	extending	extend	VERB
ejpam-5845	637	16	it	it	PRON
ejpam-5845	637	17	to	to	ADP
ejpam-5845	637	18	topological	topological	ADJ
ejpam-5845	637	19	spaces	space	NOUN
ejpam-5845	637	20	with	with	ADP
ejpam-5845	637	21	additional	additional	ADJ
ejpam-5845	637	22	properties	property	NOUN
ejpam-5845	637	23	.	.	PUNCT
ejpam-5845	638	1	key	key	ADJ
ejpam-5845	638	2	introduced	introduce	VERB
ejpam-5845	638	3	concept	concept	NOUN
ejpam-5845	638	4	neutrosophic	neutrosophic	ADJ
ejpam-5845	638	5	sets	set	NOUN
ejpam-5845	638	6	are	be	AUX
ejpam-5845	638	7	based	base	VERB
ejpam-5845	638	8	on	on	ADP
ejpam-5845	638	9	a	a	DET
ejpam-5845	638	10	single	single	ADJ
ejpam-5845	638	11	indeterminate	indeterminate	ADJ
ejpam-5845	638	12	value	value	NOUN
ejpam-5845	638	13	for	for	ADP
ejpam-5845	638	14	information	information	NOUN
ejpam-5845	638	15	representation	representation	NOUN
ejpam-5845	638	16	.	.	PUNCT
ejpam-5845	639	1	the	the	DET
ejpam-5845	639	2	introduction	introduction	NOUN
ejpam-5845	639	3	of	of	ADP
ejpam-5845	639	4	qpnss	qpnss	NOUN
ejpam-5845	639	5	(	(	PUNCT
ejpam-5845	639	6	quadripartitioned	quadripartitione	VERB
ejpam-5845	639	7	neutrosophic	neutrosophic	ADJ
ejpam-5845	639	8	soft	soft	ADJ
ejpam-5845	639	9	set	set	NOUN
ejpam-5845	639	10	)	)	PUNCT
ejpam-5845	639	11	and	and	CCONJ
ejpam-5845	639	12	qpnsts	qpnst	NOUN
ejpam-5845	639	13	(	(	PUNCT
ejpam-5845	639	14	quadri	quadri	NOUN
ejpam-5845	639	15	-	-	PUNCT
ejpam-5845	639	16	partitioned	partition	VERB
ejpam-5845	639	17	neutrosophic	neutrosophic	ADJ
ejpam-5845	639	18	soft	soft	ADJ
ejpam-5845	639	19	topological	topological	ADJ
ejpam-5845	639	20	space	space	NOUN
ejpam-5845	639	21	)	)	PUNCT
ejpam-5845	639	22	enhances	enhance	VERB
ejpam-5845	639	23	the	the	DET
ejpam-5845	639	24	theoretical	theoretical	ADJ
ejpam-5845	639	25	framework	framework	NOUN
ejpam-5845	639	26	for	for	ADP
ejpam-5845	639	27	understanding	understand	VERB
ejpam-5845	639	28	uncertainty	uncertainty	NOUN
ejpam-5845	639	29	.	.	PUNCT
ejpam-5845	640	1	table	table	NOUN
ejpam-5845	640	2	1	1	NUM
ejpam-5845	640	3	:	:	PUNCT
ejpam-5845	640	4	comparison	comparison	NOUN
ejpam-5845	640	5	of	of	ADP
ejpam-5845	640	6	published	publish	VERB
ejpam-5845	640	7	work	work	NOUN
ejpam-5845	640	8	(	(	PUNCT
ejpam-5845	640	9	nss	nss	NOUN
ejpam-5845	640	10	and	and	CCONJ
ejpam-5845	640	11	nsts	nst	NOUN
ejpam-5845	640	12	)	)	PUNCT
ejpam-5845	640	13	and	and	CCONJ
ejpam-5845	640	14	proposed	propose	VERB
ejpam-5845	640	15	work	work	NOUN
ejpam-5845	640	16	(	(	PUNCT
ejpam-5845	640	17	qpnss	qpnss	NOUN
ejpam-5845	640	18	and	and	CCONJ
ejpam-5845	640	19	qpnsts	qpnst	NOUN
ejpam-5845	640	20	)	)	PUNCT
ejpam-5845	640	21	7	7	NUM
ejpam-5845	640	22	.	.	PUNCT
ejpam-5845	640	23	applications	application	NOUN
ejpam-5845	640	24	here	here	ADV
ejpam-5845	640	25	are	be	AUX
ejpam-5845	640	26	six	six	NUM
ejpam-5845	640	27	potential	potential	ADJ
ejpam-5845	640	28	applications	application	NOUN
ejpam-5845	640	29	of	of	ADP
ejpam-5845	640	30	neutrosophic	neutrosophic	ADJ
ejpam-5845	640	31	set	set	NOUN
ejpam-5845	640	32	theory	theory	NOUN
ejpam-5845	640	33	,	,	PUNCT
ejpam-5845	640	34	particularly	particularly	ADV
ejpam-5845	640	35	the	the	DET
ejpam-5845	640	36	concept	concept	NOUN
ejpam-5845	640	37	of	of	ADP
ejpam-5845	640	38	the	the	DET
ejpam-5845	640	39	quadri	quadri	NOUN
ejpam-5845	640	40	-	-	PUNCT
ejpam-5845	640	41	portioned	portion	VERB
ejpam-5845	640	42	neutrosophic	neutrosophic	ADJ
ejpam-5845	640	43	soft	soft	ADJ
ejpam-5845	640	44	set	set	NOUN
ejpam-5845	640	45	(	(	PUNCT
ejpam-5845	640	46	qpnss	qpnss	NOUN
ejpam-5845	640	47	):	):	PUNCT
ejpam-5845	640	48	(	(	PUNCT
ejpam-5845	640	49	i	i	NOUN
ejpam-5845	640	50	)	)	PUNCT
ejpam-5845	640	51	decision	decision	NOUN
ejpam-5845	640	52	-	-	PUNCT
ejpam-5845	640	53	making	making	NOUN
ejpam-5845	640	54	in	in	ADP
ejpam-5845	640	55	uncertain	uncertain	ADJ
ejpam-5845	640	56	environments	environment	NOUN
ejpam-5845	640	57	:	:	PUNCT
ejpam-5845	640	58	neutrosophic	neutrosophic	ADJ
ejpam-5845	640	59	set	set	NOUN
ejpam-5845	640	60	theory	theory	NOUN
ejpam-5845	640	61	can	can	AUX
ejpam-5845	640	62	be	be	AUX
ejpam-5845	640	63	applied	apply	VERB
ejpam-5845	640	64	in	in	ADP
ejpam-5845	640	65	decision	decision	NOUN
ejpam-5845	640	66	-	-	PUNCT
ejpam-5845	640	67	making	make	VERB
ejpam-5845	640	68	processes	process	NOUN
ejpam-5845	640	69	where	where	SCONJ
ejpam-5845	640	70	there	there	PRON
ejpam-5845	640	71	is	be	VERB
ejpam-5845	640	72	ambiguity	ambiguity	NOUN
ejpam-5845	640	73	or	or	CCONJ
ejpam-5845	640	74	incomplete	incomplete	ADJ
ejpam-5845	640	75	information	information	NOUN
ejpam-5845	640	76	.	.	PUNCT
ejpam-5845	641	1	the	the	DET
ejpam-5845	641	2	qpnss	qpnss	NOUN
ejpam-5845	641	3	framework	framework	NOUN
ejpam-5845	641	4	allows	allow	VERB
ejpam-5845	641	5	for	for	ADP
ejpam-5845	641	6	more	more	ADV
ejpam-5845	641	7	accurate	accurate	ADJ
ejpam-5845	641	8	decisions	decision	NOUN
ejpam-5845	641	9	by	by	ADP
ejpam-5845	641	10	considering	consider	VERB
ejpam-5845	641	11	both	both	PRON
ejpam-5845	641	12	relative	relative	ADJ
ejpam-5845	641	13	truth	truth	NOUN
ejpam-5845	641	14	and	and	CCONJ
ejpam-5845	641	15	relative	relative	ADJ
ejpam-5845	641	16	falsehood	falsehood	NOUN
ejpam-5845	641	17	,	,	PUNCT
ejpam-5845	641	18	offering	offer	VERB
ejpam-5845	641	19	a	a	DET
ejpam-5845	641	20	better	well	ADJ
ejpam-5845	641	21	representation	representation	NOUN
ejpam-5845	641	22	of	of	ADP
ejpam-5845	641	23	uncertainty	uncertainty	NOUN
ejpam-5845	641	24	in	in	ADP
ejpam-5845	641	25	fields	field	NOUN
ejpam-5845	641	26	like	like	ADP
ejpam-5845	641	27	engineering	engineering	NOUN
ejpam-5845	641	28	,	,	PUNCT
ejpam-5845	641	29	economics	economic	NOUN
ejpam-5845	641	30	,	,	PUNCT
ejpam-5845	641	31	and	and	CCONJ
ejpam-5845	641	32	management	management	NOUN
ejpam-5845	641	33	.	.	PUNCT
ejpam-5845	642	1	(	(	PUNCT
ejpam-5845	642	2	ii	ii	NOUN
ejpam-5845	642	3	)	)	PUNCT
ejpam-5845	642	4	fault	fault	VERB
ejpam-5845	642	5	diagnosis	diagnosis	NOUN
ejpam-5845	642	6	and	and	CCONJ
ejpam-5845	642	7	error	error	NOUN
ejpam-5845	642	8	detection	detection	NOUN
ejpam-5845	642	9	:	:	PUNCT
ejpam-5845	642	10	in	in	ADP
ejpam-5845	642	11	systems	system	NOUN
ejpam-5845	642	12	where	where	SCONJ
ejpam-5845	642	13	error	error	NOUN
ejpam-5845	642	14	detection	detection	NOUN
ejpam-5845	642	15	is	be	AUX
ejpam-5845	642	16	essential	essential	ADJ
ejpam-5845	642	17	,	,	PUNCT
ejpam-5845	642	18	such	such	ADJ
ejpam-5845	642	19	as	as	ADP
ejpam-5845	642	20	in	in	ADP
ejpam-5845	642	21	machine	machine	NOUN
ejpam-5845	642	22	learning	learning	NOUN
ejpam-5845	642	23	or	or	CCONJ
ejpam-5845	642	24	fault	fault	VERB
ejpam-5845	642	25	diagnosis	diagnosis	NOUN
ejpam-5845	642	26	of	of	ADP
ejpam-5845	642	27	complex	complex	ADJ
ejpam-5845	642	28	systems	system	NOUN
ejpam-5845	642	29	,	,	PUNCT
ejpam-5845	642	30	the	the	DET
ejpam-5845	642	31	qpnss	qpnss	NOUN
ejpam-5845	642	32	framework	framework	NOUN
ejpam-5845	642	33	provides	provide	VERB
ejpam-5845	642	34	a	a	DET
ejpam-5845	642	35	more	more	ADV
ejpam-5845	642	36	refined	refined	ADJ
ejpam-5845	642	37	model	model	NOUN
ejpam-5845	642	38	by	by	ADP
ejpam-5845	642	39	dividing	divide	VERB
ejpam-5845	642	40	indeterminacy	indeterminacy	NOUN
ejpam-5845	642	41	into	into	ADP
ejpam-5845	642	42	components	component	NOUN
ejpam-5845	642	43	of	of	ADP
ejpam-5845	642	44	relative	relative	ADJ
ejpam-5845	642	45	truth	truth	NOUN
ejpam-5845	642	46	and	and	CCONJ
ejpam-5845	642	47	relative	relative	ADJ
ejpam-5845	642	48	falsehood	falsehood	NOUN
ejpam-5845	642	49	.	.	PUNCT
ejpam-5845	643	1	this	this	PRON
ejpam-5845	643	2	allows	allow	VERB
ejpam-5845	643	3	for	for	ADP
ejpam-5845	643	4	improved	improved	ADJ
ejpam-5845	643	5	detection	detection	NOUN
ejpam-5845	643	6	and	and	CCONJ
ejpam-5845	643	7	error	error	NOUN
ejpam-5845	643	8	reduction	reduction	NOUN
ejpam-5845	643	9	in	in	ADP
ejpam-5845	643	10	systems	system	NOUN
ejpam-5845	643	11	with	with	ADP
ejpam-5845	643	12	uncertain	uncertain	ADJ
ejpam-5845	643	13	or	or	CCONJ
ejpam-5845	643	14	ambiguous	ambiguous	ADJ
ejpam-5845	643	15	data	datum	NOUN
ejpam-5845	643	16	.	.	PUNCT
ejpam-5845	644	1	(	(	PUNCT
ejpam-5845	644	2	iii	iii	X
ejpam-5845	644	3	)	)	PUNCT
ejpam-5845	644	4	medical	medical	ADJ
ejpam-5845	644	5	diagnosis	diagnosis	NOUN
ejpam-5845	644	6	and	and	CCONJ
ejpam-5845	644	7	healthcare	healthcare	PROPN
ejpam-5845	644	8	:	:	PUNCT
ejpam-5845	644	9	neutrosophic	neutrosophic	ADJ
ejpam-5845	644	10	set	set	NOUN
ejpam-5845	644	11	theory	theory	NOUN
ejpam-5845	644	12	can	can	AUX
ejpam-5845	644	13	be	be	AUX
ejpam-5845	644	14	applied	apply	VERB
ejpam-5845	644	15	to	to	ADP
ejpam-5845	644	16	medical	medical	ADJ
ejpam-5845	644	17	diagnosis	diagnosis	NOUN
ejpam-5845	644	18	,	,	PUNCT
ejpam-5845	644	19	where	where	SCONJ
ejpam-5845	644	20	there	there	PRON
ejpam-5845	644	21	is	be	VERB
ejpam-5845	644	22	often	often	ADV
ejpam-5845	644	23	incomplete	incomplete	ADJ
ejpam-5845	644	24	or	or	CCONJ
ejpam-5845	644	25	ambiguous	ambiguous	ADJ
ejpam-5845	644	26	information	information	NOUN
ejpam-5845	644	27	about	about	ADP
ejpam-5845	644	28	a	a	DET
ejpam-5845	644	29	patient	patient	NOUN
ejpam-5845	644	30	’s	’s	PART
ejpam-5845	644	31	condition	condition	NOUN
ejpam-5845	644	32	.	.	PUNCT
ejpam-5845	645	1	the	the	DET
ejpam-5845	645	2	use	use	NOUN
ejpam-5845	645	3	of	of	ADP
ejpam-5845	645	4	qpnss	qpnss	NOUN
ejpam-5845	645	5	allows	allow	VERB
ejpam-5845	645	6	for	for	ADP
ejpam-5845	645	7	better	well	ADJ
ejpam-5845	645	8	handling	handling	NOUN
ejpam-5845	645	9	of	of	ADP
ejpam-5845	645	10	indeterminate	indeterminate	ADJ
ejpam-5845	645	11	symptoms	symptom	NOUN
ejpam-5845	645	12	,	,	PUNCT
ejpam-5845	645	13	improving	improve	VERB
ejpam-5845	645	14	diagnostic	diagnostic	ADJ
ejpam-5845	645	15	accuracy	accuracy	NOUN
ejpam-5845	645	16	by	by	ADP
ejpam-5845	645	17	incorporating	incorporate	VERB
ejpam-5845	645	18	both	both	CCONJ
ejpam-5845	645	19	positive	positive	ADJ
ejpam-5845	645	20	and	and	CCONJ
ejpam-5845	645	21	negative	negative	ADJ
ejpam-5845	645	22	evidence	evidence	NOUN
ejpam-5845	645	23	,	,	PUNCT
ejpam-5845	645	24	enhancing	enhance	VERB
ejpam-5845	645	25	the	the	DET
ejpam-5845	645	26	healthcare	healthcare	NOUN
ejpam-5845	645	27	decision	decision	NOUN
ejpam-5845	645	28	-	-	PUNCT
ejpam-5845	645	29	making	make	VERB
ejpam-5845	645	30	process	process	NOUN
ejpam-5845	645	31	.	.	PUNCT
ejpam-5845	646	1	m.	m.	NOUN
ejpam-5845	646	2	m.	m.	PROPN
ejpam-5845	646	3	saeed	saeed	PROPN
ejpam-5845	646	4	et	et	PROPN
ejpam-5845	646	5	al	al	PROPN
ejpam-5845	646	6	.	.	PUNCT
ejpam-5845	646	7	/	/	SYM
ejpam-5845	646	8	eur	eur	PROPN
ejpam-5845	646	9	.	.	PUNCT
ejpam-5845	647	1	j.	j.	PROPN
ejpam-5845	647	2	pure	pure	PROPN
ejpam-5845	647	3	appl	appl	PROPN
ejpam-5845	647	4	.	.	PROPN
ejpam-5845	647	5	math	math	PROPN
ejpam-5845	647	6	,	,	PUNCT
ejpam-5845	647	7	18	18	NUM
ejpam-5845	647	8	(	(	PUNCT
ejpam-5845	647	9	2	2	NUM
ejpam-5845	647	10	)	)	PUNCT
ejpam-5845	647	11	(	(	PUNCT
ejpam-5845	647	12	2025	2025	NUM
ejpam-5845	647	13	)	)	PUNCT
ejpam-5845	647	14	,	,	PUNCT
ejpam-5845	647	15	5845	5845	NUM
ejpam-5845	647	16	28	28	NUM
ejpam-5845	647	17	of	of	ADP
ejpam-5845	647	18	32	32	NUM
ejpam-5845	647	19	(	(	PUNCT
ejpam-5845	647	20	iv	iv	NOUN
ejpam-5845	647	21	)	)	PUNCT
ejpam-5845	647	22	image	image	NOUN
ejpam-5845	647	23	and	and	CCONJ
ejpam-5845	647	24	signal	signal	NOUN
ejpam-5845	647	25	processing	processing	NOUN
ejpam-5845	647	26	:	:	PUNCT
ejpam-5845	647	27	the	the	DET
ejpam-5845	647	28	qpnss	qpnss	NOUN
ejpam-5845	647	29	framework	framework	NOUN
ejpam-5845	647	30	can	can	AUX
ejpam-5845	647	31	be	be	AUX
ejpam-5845	647	32	applied	apply	VERB
ejpam-5845	647	33	in	in	ADP
ejpam-5845	647	34	image	image	NOUN
ejpam-5845	647	35	and	and	CCONJ
ejpam-5845	647	36	signal	signal	NOUN
ejpam-5845	647	37	processing	processing	NOUN
ejpam-5845	647	38	where	where	SCONJ
ejpam-5845	647	39	there	there	PRON
ejpam-5845	647	40	may	may	AUX
ejpam-5845	647	41	be	be	AUX
ejpam-5845	647	42	noise	noise	NOUN
ejpam-5845	647	43	or	or	CCONJ
ejpam-5845	647	44	uncertainty	uncertainty	NOUN
ejpam-5845	647	45	in	in	ADP
ejpam-5845	647	46	the	the	DET
ejpam-5845	647	47	data	datum	NOUN
ejpam-5845	647	48	.	.	PUNCT
ejpam-5845	648	1	by	by	ADP
ejpam-5845	648	2	using	use	VERB
ejpam-5845	648	3	the	the	DET
ejpam-5845	648	4	four	four	NUM
ejpam-5845	648	5	membership	membership	NOUN
ejpam-5845	648	6	values	value	NOUN
ejpam-5845	648	7	(	(	PUNCT
ejpam-5845	648	8	absolute	absolute	ADJ
ejpam-5845	648	9	truth	truth	NOUN
ejpam-5845	648	10	,	,	PUNCT
ejpam-5845	648	11	relative	relative	ADJ
ejpam-5845	648	12	truth	truth	NOUN
ejpam-5845	648	13	,	,	PUNCT
ejpam-5845	648	14	relative	relative	ADJ
ejpam-5845	648	15	falsehood	falsehood	NOUN
ejpam-5845	648	16	,	,	PUNCT
ejpam-5845	648	17	and	and	CCONJ
ejpam-5845	648	18	absolute	absolute	ADJ
ejpam-5845	648	19	falsehood	falsehood	NOUN
ejpam-5845	648	20	)	)	PUNCT
ejpam-5845	648	21	,	,	PUNCT
ejpam-5845	648	22	the	the	DET
ejpam-5845	648	23	qpnss	qpnss	NOUN
ejpam-5845	648	24	model	model	NOUN
ejpam-5845	648	25	can	can	AUX
ejpam-5845	648	26	help	help	VERB
ejpam-5845	648	27	enhance	enhance	VERB
ejpam-5845	648	28	image	image	NOUN
ejpam-5845	648	29	quality	quality	NOUN
ejpam-5845	648	30	,	,	PUNCT
ejpam-5845	648	31	edge	edge	NOUN
ejpam-5845	648	32	detection	detection	NOUN
ejpam-5845	648	33	,	,	PUNCT
ejpam-5845	648	34	or	or	CCONJ
ejpam-5845	648	35	signal	signal	ADJ
ejpam-5845	648	36	filtering	filtering	NOUN
ejpam-5845	648	37	,	,	PUNCT
ejpam-5845	648	38	leading	lead	VERB
ejpam-5845	648	39	to	to	ADP
ejpam-5845	648	40	more	more	ADV
ejpam-5845	648	41	precise	precise	ADJ
ejpam-5845	648	42	and	and	CCONJ
ejpam-5845	648	43	effective	effective	ADJ
ejpam-5845	648	44	data	datum	NOUN
ejpam-5845	648	45	interpretation	interpretation	NOUN
ejpam-5845	648	46	.	.	PUNCT
ejpam-5845	649	1	(	(	PUNCT
ejpam-5845	649	2	v	v	NOUN
ejpam-5845	649	3	)	)	PUNCT
ejpam-5845	649	4	multi	multi	ADJ
ejpam-5845	649	5	-	-	ADJ
ejpam-5845	649	6	criteria	criterion	NOUN
ejpam-5845	649	7	decision	decision	NOUN
ejpam-5845	649	8	analysis	analysis	NOUN
ejpam-5845	649	9	(	(	PUNCT
ejpam-5845	649	10	mcda	mcda	NOUN
ejpam-5845	649	11	):	):	PUNCT
ejpam-5845	649	12	in	in	ADP
ejpam-5845	649	13	situations	situation	NOUN
ejpam-5845	649	14	involving	involve	VERB
ejpam-5845	649	15	multiple	multiple	ADJ
ejpam-5845	649	16	conflicting	conflicting	ADJ
ejpam-5845	649	17	criteria	criterion	NOUN
ejpam-5845	649	18	,	,	PUNCT
ejpam-5845	649	19	such	such	ADJ
ejpam-5845	649	20	as	as	ADP
ejpam-5845	649	21	in	in	ADP
ejpam-5845	649	22	business	business	NOUN
ejpam-5845	649	23	,	,	PUNCT
ejpam-5845	649	24	policy	policy	NOUN
ejpam-5845	649	25	-	-	PUNCT
ejpam-5845	649	26	making	making	NOUN
ejpam-5845	649	27	,	,	PUNCT
ejpam-5845	649	28	or	or	CCONJ
ejpam-5845	649	29	resource	resource	NOUN
ejpam-5845	649	30	allocation	allocation	NOUN
ejpam-5845	649	31	,	,	PUNCT
ejpam-5845	649	32	neutrosophic	neutrosophic	ADJ
ejpam-5845	649	33	set	set	NOUN
ejpam-5845	649	34	theory	theory	NOUN
ejpam-5845	649	35	can	can	AUX
ejpam-5845	649	36	be	be	AUX
ejpam-5845	649	37	used	use	VERB
ejpam-5845	649	38	to	to	PART
ejpam-5845	649	39	model	model	VERB
ejpam-5845	649	40	the	the	DET
ejpam-5845	649	41	uncertainty	uncertainty	NOUN
ejpam-5845	649	42	of	of	ADP
ejpam-5845	649	43	criteria	criterion	NOUN
ejpam-5845	649	44	weights	weight	NOUN
ejpam-5845	649	45	and	and	CCONJ
ejpam-5845	649	46	evaluations	evaluation	NOUN
ejpam-5845	649	47	.	.	PUNCT
ejpam-5845	650	1	the	the	DET
ejpam-5845	650	2	qpnss	qpnss	NOUN
ejpam-5845	650	3	allows	allow	VERB
ejpam-5845	650	4	for	for	ADP
ejpam-5845	650	5	a	a	DET
ejpam-5845	650	6	more	more	ADV
ejpam-5845	650	7	nuanced	nuanced	ADJ
ejpam-5845	650	8	understanding	understanding	NOUN
ejpam-5845	650	9	of	of	ADP
ejpam-5845	650	10	these	these	DET
ejpam-5845	650	11	conflicts	conflict	NOUN
ejpam-5845	650	12	,	,	PUNCT
ejpam-5845	650	13	improving	improve	VERB
ejpam-5845	650	14	the	the	DET
ejpam-5845	650	15	decisionmaking	decisionmake	VERB
ejpam-5845	650	16	process	process	NOUN
ejpam-5845	650	17	by	by	ADP
ejpam-5845	650	18	distinguishing	distinguish	VERB
ejpam-5845	650	19	between	between	ADP
ejpam-5845	650	20	truth	truth	NOUN
ejpam-5845	650	21	,	,	PUNCT
ejpam-5845	650	22	falsehood	falsehood	NOUN
ejpam-5845	650	23	,	,	PUNCT
ejpam-5845	650	24	and	and	CCONJ
ejpam-5845	650	25	indeterminacy	indeterminacy	NOUN
ejpam-5845	650	26	in	in	ADP
ejpam-5845	650	27	each	each	DET
ejpam-5845	650	28	criterion	criterion	NOUN
ejpam-5845	650	29	.	.	PUNCT
ejpam-5845	651	1	(	(	PUNCT
ejpam-5845	651	2	vi	vi	NOUN
ejpam-5845	651	3	)	)	PUNCT
ejpam-5845	651	4	knowledge	knowledge	NOUN
ejpam-5845	651	5	representation	representation	NOUN
ejpam-5845	651	6	and	and	CCONJ
ejpam-5845	651	7	reasoning	reasoning	NOUN
ejpam-5845	651	8	in	in	ADP
ejpam-5845	651	9	ai	ai	NOUN
ejpam-5845	651	10	:	:	PUNCT
ejpam-5845	651	11	in	in	ADP
ejpam-5845	651	12	artificial	artificial	ADJ
ejpam-5845	651	13	intelligence	intelligence	NOUN
ejpam-5845	651	14	(	(	PUNCT
ejpam-5845	651	15	ai	ai	NOUN
ejpam-5845	651	16	)	)	PUNCT
ejpam-5845	651	17	,	,	PUNCT
ejpam-5845	651	18	especially	especially	ADV
ejpam-5845	651	19	in	in	ADP
ejpam-5845	651	20	the	the	DET
ejpam-5845	651	21	domain	domain	NOUN
ejpam-5845	651	22	of	of	ADP
ejpam-5845	651	23	knowledge	knowledge	NOUN
ejpam-5845	651	24	representation	representation	NOUN
ejpam-5845	651	25	and	and	CCONJ
ejpam-5845	651	26	reasoning	reasoning	NOUN
ejpam-5845	651	27	,	,	PUNCT
ejpam-5845	651	28	neutrosophic	neutrosophic	ADJ
ejpam-5845	651	29	set	set	NOUN
ejpam-5845	651	30	theory	theory	NOUN
ejpam-5845	651	31	can	can	AUX
ejpam-5845	651	32	enhance	enhance	VERB
ejpam-5845	651	33	the	the	DET
ejpam-5845	651	34	ability	ability	NOUN
ejpam-5845	651	35	to	to	PART
ejpam-5845	651	36	represent	represent	VERB
ejpam-5845	651	37	and	and	CCONJ
ejpam-5845	651	38	reason	reason	NOUN
ejpam-5845	651	39	with	with	ADP
ejpam-5845	651	40	incomplete	incomplete	ADJ
ejpam-5845	651	41	,	,	PUNCT
ejpam-5845	651	42	uncertain	uncertain	ADJ
ejpam-5845	651	43	,	,	PUNCT
ejpam-5845	651	44	or	or	CCONJ
ejpam-5845	651	45	contradictory	contradictory	ADJ
ejpam-5845	651	46	knowledge	knowledge	NOUN
ejpam-5845	651	47	.	.	PUNCT
ejpam-5845	652	1	the	the	DET
ejpam-5845	652	2	qpnss	qpnss	NOUN
ejpam-5845	652	3	model	model	NOUN
ejpam-5845	652	4	helps	help	VERB
ejpam-5845	652	5	ai	ai	VERB
ejpam-5845	652	6	systems	system	NOUN
ejpam-5845	652	7	to	to	PART
ejpam-5845	652	8	better	well	ADV
ejpam-5845	652	9	handle	handle	VERB
ejpam-5845	652	10	cases	case	NOUN
ejpam-5845	652	11	where	where	SCONJ
ejpam-5845	652	12	information	information	NOUN
ejpam-5845	652	13	is	be	AUX
ejpam-5845	652	14	uncertain	uncertain	ADJ
ejpam-5845	652	15	or	or	CCONJ
ejpam-5845	652	16	partially	partially	ADV
ejpam-5845	652	17	known	know	VERB
ejpam-5845	652	18	,	,	PUNCT
ejpam-5845	652	19	allowing	allow	VERB
ejpam-5845	652	20	for	for	ADP
ejpam-5845	652	21	more	more	ADV
ejpam-5845	652	22	robust	robust	ADJ
ejpam-5845	652	23	reasoning	reasoning	NOUN
ejpam-5845	652	24	in	in	ADP
ejpam-5845	652	25	uncertain	uncertain	ADJ
ejpam-5845	652	26	environments	environment	NOUN
ejpam-5845	652	27	,	,	PUNCT
ejpam-5845	652	28	such	such	ADJ
ejpam-5845	652	29	as	as	ADP
ejpam-5845	652	30	robotics	robotic	NOUN
ejpam-5845	652	31	or	or	CCONJ
ejpam-5845	652	32	expert	expert	NOUN
ejpam-5845	652	33	systems	system	NOUN
ejpam-5845	652	34	.	.	PUNCT
ejpam-5845	653	1	8	8	X
ejpam-5845	653	2	.	.	X
ejpam-5845	653	3	conclusion	conclusion	NOUN
ejpam-5845	653	4	and	and	CCONJ
ejpam-5845	653	5	future	future	ADJ
ejpam-5845	653	6	work	work	NOUN
ejpam-5845	653	7	neutrosophic	neutrosophic	ADJ
ejpam-5845	653	8	set	set	NOUN
ejpam-5845	653	9	theory	theory	NOUN
ejpam-5845	653	10	is	be	AUX
ejpam-5845	653	11	an	an	DET
ejpam-5845	653	12	important	important	ADJ
ejpam-5845	653	13	mathematical	mathematical	ADJ
ejpam-5845	653	14	framework	framework	NOUN
ejpam-5845	653	15	that	that	PRON
ejpam-5845	653	16	is	be	AUX
ejpam-5845	653	17	recognized	recognize	VERB
ejpam-5845	653	18	as	as	ADP
ejpam-5845	653	19	superior	superior	ADJ
ejpam-5845	653	20	to	to	ADP
ejpam-5845	653	21	existing	exist	VERB
ejpam-5845	653	22	theories	theory	NOUN
ejpam-5845	653	23	of	of	ADP
ejpam-5845	653	24	error	error	NOUN
ejpam-5845	653	25	reduction	reduction	NOUN
ejpam-5845	653	26	.	.	PUNCT
ejpam-5845	654	1	this	this	DET
ejpam-5845	654	2	theory	theory	NOUN
ejpam-5845	654	3	extends	extend	VERB
ejpam-5845	654	4	fuzzy	fuzzy	ADJ
ejpam-5845	654	5	sets	set	NOUN
ejpam-5845	654	6	(	(	PUNCT
ejpam-5845	654	7	fss	fss	NOUN
ejpam-5845	654	8	)	)	PUNCT
ejpam-5845	654	9	and	and	CCONJ
ejpam-5845	654	10	intuitionistic	intuitionistic	ADJ
ejpam-5845	654	11	fuzzy	fuzzy	ADJ
ejpam-5845	654	12	sets	set	NOUN
ejpam-5845	654	13	(	(	PUNCT
ejpam-5845	654	14	ifss	ifss	NOUN
ejpam-5845	654	15	)	)	PUNCT
ejpam-5845	654	16	.	.	PUNCT
ejpam-5845	655	1	its	its	PRON
ejpam-5845	655	2	effectiveness	effectiveness	NOUN
ejpam-5845	655	3	can	can	AUX
ejpam-5845	655	4	be	be	AUX
ejpam-5845	655	5	enhanced	enhance	VERB
ejpam-5845	655	6	by	by	ADP
ejpam-5845	655	7	improving	improve	VERB
ejpam-5845	655	8	the	the	DET
ejpam-5845	655	9	definition	definition	NOUN
ejpam-5845	655	10	of	of	ADP
ejpam-5845	655	11	indeterminacy	indeterminacy	NOUN
ejpam-5845	655	12	a	a	DET
ejpam-5845	655	13	mathematical	mathematical	ADJ
ejpam-5845	655	14	term	term	NOUN
ejpam-5845	655	15	for	for	ADP
ejpam-5845	655	16	situations	situation	NOUN
ejpam-5845	655	17	in	in	ADP
ejpam-5845	655	18	which	which	PRON
ejpam-5845	655	19	values	value	NOUN
ejpam-5845	655	20	can	can	AUX
ejpam-5845	655	21	not	not	PART
ejpam-5845	655	22	be	be	AUX
ejpam-5845	655	23	precisely	precisely	ADV
ejpam-5845	655	24	determined	determine	VERB
ejpam-5845	655	25	.	.	PUNCT
ejpam-5845	656	1	in	in	ADP
ejpam-5845	656	2	this	this	DET
ejpam-5845	656	3	paper	paper	NOUN
ejpam-5845	656	4	,	,	PUNCT
ejpam-5845	656	5	methods	method	NOUN
ejpam-5845	656	6	for	for	ADP
ejpam-5845	656	7	improving	improve	VERB
ejpam-5845	656	8	sensitivity	sensitivity	NOUN
ejpam-5845	656	9	and	and	CCONJ
ejpam-5845	656	10	accuracy	accuracy	NOUN
ejpam-5845	656	11	with	with	ADP
ejpam-5845	656	12	respect	respect	NOUN
ejpam-5845	656	13	to	to	ADP
ejpam-5845	656	14	indeterminacy	indeterminacy	NOUN
ejpam-5845	656	15	are	be	AUX
ejpam-5845	656	16	presented	present	VERB
ejpam-5845	656	17	.	.	PUNCT
ejpam-5845	657	1	according	accord	VERB
ejpam-5845	657	2	to	to	ADP
ejpam-5845	657	3	the	the	DET
ejpam-5845	657	4	proposed	propose	VERB
ejpam-5845	657	5	approach	approach	NOUN
ejpam-5845	657	6	,	,	PUNCT
ejpam-5845	657	7	the	the	DET
ejpam-5845	657	8	indeterminate	indeterminate	ADJ
ejpam-5845	657	9	value	value	NOUN
ejpam-5845	657	10	is	be	AUX
ejpam-5845	657	11	divided	divide	VERB
ejpam-5845	657	12	into	into	ADP
ejpam-5845	657	13	two	two	NUM
ejpam-5845	657	14	parts	part	NOUN
ejpam-5845	657	15	based	base	VERB
ejpam-5845	657	16	on	on	ADP
ejpam-5845	657	17	membership	membership	NOUN
ejpam-5845	657	18	:	:	PUNCT
ejpam-5845	657	19	relative	relative	ADJ
ejpam-5845	657	20	truth	truth	NOUN
ejpam-5845	657	21	(	(	PUNCT
ejpam-5845	657	22	rt	rt	PROPN
ejpam-5845	657	23	)	)	PUNCT
ejpam-5845	657	24	,	,	PUNCT
ejpam-5845	657	25	which	which	PRON
ejpam-5845	657	26	represents	represent	VERB
ejpam-5845	657	27	indeterminacy	indeterminacy	NOUN
ejpam-5845	657	28	leaning	lean	VERB
ejpam-5845	657	29	towards	towards	ADP
ejpam-5845	657	30	truth	truth	NOUN
ejpam-5845	657	31	,	,	PUNCT
ejpam-5845	657	32	and	and	CCONJ
ejpam-5845	657	33	relative	relative	ADJ
ejpam-5845	657	34	falsehood	falsehood	NOUN
ejpam-5845	657	35	(	(	PUNCT
ejpam-5845	657	36	rf	rf	NOUN
ejpam-5845	657	37	)	)	PUNCT
ejpam-5845	657	38	,	,	PUNCT
ejpam-5845	657	39	which	which	PRON
ejpam-5845	657	40	represents	represent	VERB
ejpam-5845	657	41	indeterminacy	indeterminacy	NOUN
ejpam-5845	657	42	leaning	lean	VERB
ejpam-5845	657	43	towards	towards	ADP
ejpam-5845	657	44	falsehood	falsehood	NOUN
ejpam-5845	657	45	.	.	PUNCT
ejpam-5845	658	1	indeterminacy	indeterminacy	NOUN
ejpam-5845	658	2	is	be	AUX
ejpam-5845	658	3	considered	consider	VERB
ejpam-5845	658	4	rt	rt	PROPN
ejpam-5845	658	5	when	when	SCONJ
ejpam-5845	658	6	it	it	PRON
ejpam-5845	658	7	leans	lean	VERB
ejpam-5845	658	8	increasingly	increasingly	ADV
ejpam-5845	658	9	towards	towards	ADP
ejpam-5845	658	10	truth	truth	NOUN
ejpam-5845	658	11	without	without	ADP
ejpam-5845	658	12	being	be	AUX
ejpam-5845	658	13	classified	classify	VERB
ejpam-5845	658	14	as	as	ADP
ejpam-5845	658	15	true	true	ADJ
ejpam-5845	658	16	.	.	PUNCT
ejpam-5845	659	1	in	in	ADP
ejpam-5845	659	2	other	other	ADJ
ejpam-5845	659	3	words	word	NOUN
ejpam-5845	659	4	,	,	PUNCT
ejpam-5845	659	5	this	this	DET
ejpam-5845	659	6	component	component	NOUN
ejpam-5845	659	7	reflects	reflect	VERB
ejpam-5845	659	8	the	the	DET
ejpam-5845	659	9	extent	extent	NOUN
ejpam-5845	659	10	to	to	PART
ejpam-5845	659	11	which	which	PRON
ejpam-5845	659	12	the	the	DET
ejpam-5845	659	13	uncertain	uncertain	ADJ
ejpam-5845	659	14	value	value	NOUN
ejpam-5845	659	15	tends	tend	VERB
ejpam-5845	659	16	to	to	PART
ejpam-5845	659	17	be	be	AUX
ejpam-5845	659	18	accurate	accurate	ADJ
ejpam-5845	659	19	.	.	PUNCT
ejpam-5845	660	1	it	it	PRON
ejpam-5845	660	2	represents	represent	VERB
ejpam-5845	660	3	situations	situation	NOUN
ejpam-5845	660	4	in	in	ADP
ejpam-5845	660	5	which	which	PRON
ejpam-5845	660	6	there	there	PRON
ejpam-5845	660	7	is	be	VERB
ejpam-5845	660	8	a	a	DET
ejpam-5845	660	9	greater	great	ADJ
ejpam-5845	660	10	likelihood	likelihood	NOUN
ejpam-5845	660	11	of	of	ADP
ejpam-5845	660	12	truth	truth	NOUN
ejpam-5845	660	13	indicated	indicate	VERB
ejpam-5845	660	14	by	by	ADP
ejpam-5845	660	15	the	the	DET
ejpam-5845	660	16	context	context	NOUN
ejpam-5845	660	17	or	or	CCONJ
ejpam-5845	660	18	evidence	evidence	NOUN
ejpam-5845	660	19	,	,	PUNCT
ejpam-5845	660	20	but	but	CCONJ
ejpam-5845	660	21	the	the	DET
ejpam-5845	660	22	value	value	NOUN
ejpam-5845	660	23	can	can	AUX
ejpam-5845	660	24	not	not	PART
ejpam-5845	660	25	be	be	AUX
ejpam-5845	660	26	definitively	definitively	ADV
ejpam-5845	660	27	determined	determined	ADJ
ejpam-5845	660	28	to	to	PART
ejpam-5845	660	29	be	be	AUX
ejpam-5845	660	30	true	true	ADJ
ejpam-5845	660	31	.	.	PUNCT
ejpam-5845	661	1	conversely	conversely	ADV
ejpam-5845	661	2	,	,	PUNCT
ejpam-5845	661	3	it	it	PRON
ejpam-5845	661	4	is	be	AUX
ejpam-5845	661	5	referred	refer	VERB
ejpam-5845	661	6	to	to	ADP
ejpam-5845	661	7	as	as	ADP
ejpam-5845	661	8	rf	rf	PRON
ejpam-5845	661	9	when	when	SCONJ
ejpam-5845	661	10	it	it	PRON
ejpam-5845	661	11	leans	lean	VERB
ejpam-5845	661	12	more	more	ADJ
ejpam-5845	661	13	towards	towards	ADP
ejpam-5845	661	14	untruth	untruth	NOUN
ejpam-5845	661	15	without	without	ADP
ejpam-5845	661	16	being	be	AUX
ejpam-5845	661	17	clearly	clearly	ADV
ejpam-5845	661	18	false	false	ADJ
ejpam-5845	661	19	.	.	PUNCT
ejpam-5845	662	1	this	this	DET
ejpam-5845	662	2	component	component	NOUN
ejpam-5845	662	3	reflects	reflect	VERB
ejpam-5845	662	4	the	the	DET
ejpam-5845	662	5	extent	extent	NOUN
ejpam-5845	662	6	to	to	PART
ejpam-5845	662	7	which	which	PRON
ejpam-5845	662	8	the	the	DET
ejpam-5845	662	9	uncertain	uncertain	ADJ
ejpam-5845	662	10	value	value	NOUN
ejpam-5845	662	11	tends	tend	VERB
ejpam-5845	662	12	to	to	PART
ejpam-5845	662	13	be	be	AUX
ejpam-5845	662	14	false	false	ADJ
ejpam-5845	662	15	.	.	PUNCT
ejpam-5845	663	1	similarly	similarly	ADV
ejpam-5845	663	2	,	,	PUNCT
ejpam-5845	663	3	it	it	PRON
ejpam-5845	663	4	represents	represent	VERB
ejpam-5845	663	5	situations	situation	NOUN
ejpam-5845	663	6	where	where	SCONJ
ejpam-5845	663	7	the	the	DET
ejpam-5845	663	8	evidence	evidence	NOUN
ejpam-5845	663	9	points	point	VERB
ejpam-5845	663	10	to	to	ADP
ejpam-5845	663	11	a	a	DET
ejpam-5845	663	12	greater	great	ADJ
ejpam-5845	663	13	probability	probability	NOUN
ejpam-5845	663	14	of	of	ADP
ejpam-5845	663	15	falsity	falsity	NOUN
ejpam-5845	663	16	,	,	PUNCT
ejpam-5845	663	17	but	but	CCONJ
ejpam-5845	663	18	the	the	DET
ejpam-5845	663	19	value	value	NOUN
ejpam-5845	663	20	can	can	AUX
ejpam-5845	663	21	not	not	PART
ejpam-5845	663	22	be	be	AUX
ejpam-5845	663	23	definitively	definitively	ADV
ejpam-5845	663	24	labeled	label	VERB
ejpam-5845	663	25	as	as	ADP
ejpam-5845	663	26	such	such	ADJ
ejpam-5845	663	27	.	.	PUNCT
ejpam-5845	664	1	uncertainty	uncertainty	NOUN
ejpam-5845	664	2	arises	arise	VERB
ejpam-5845	664	3	when	when	SCONJ
ejpam-5845	664	4	there	there	PRON
ejpam-5845	664	5	is	be	VERB
ejpam-5845	664	6	only	only	ADV
ejpam-5845	664	7	one	one	NUM
ejpam-5845	664	8	indeterminate	indeterminate	ADJ
ejpam-5845	664	9	value	value	NOUN
ejpam-5845	664	10	,	,	PUNCT
ejpam-5845	664	11	as	as	SCONJ
ejpam-5845	664	12	it	it	PRON
ejpam-5845	664	13	remains	remain	VERB
ejpam-5845	664	14	unclear	unclear	ADJ
ejpam-5845	664	15	whether	whether	SCONJ
ejpam-5845	664	16	it	it	PRON
ejpam-5845	664	17	favors	favor	VERB
ejpam-5845	664	18	true	true	ADJ
ejpam-5845	664	19	or	or	CCONJ
ejpam-5845	664	20	false	false	ADJ
ejpam-5845	664	21	membership	membership	NOUN
ejpam-5845	664	22	.	.	PUNCT
ejpam-5845	665	1	the	the	DET
ejpam-5845	665	2	findings	finding	NOUN
ejpam-5845	665	3	are	be	AUX
ejpam-5845	665	4	more	more	ADV
ejpam-5845	665	5	accurate	accurate	ADJ
ejpam-5845	665	6	when	when	SCONJ
ejpam-5845	665	7	both	both	DET
ejpam-5845	665	8	rt	rt	PROPN
ejpam-5845	665	9	and	and	CCONJ
ejpam-5845	665	10	rf	rf	PRON
ejpam-5845	665	11	are	be	AUX
ejpam-5845	665	12	captured	capture	VERB
ejpam-5845	665	13	compared	compare	VERB
ejpam-5845	665	14	to	to	ADP
ejpam-5845	665	15	using	use	VERB
ejpam-5845	665	16	a	a	DET
ejpam-5845	665	17	single	single	ADJ
ejpam-5845	665	18	indeterminate	indeterminate	ADJ
ejpam-5845	665	19	value	value	NOUN
ejpam-5845	665	20	.	.	PUNCT
ejpam-5845	666	1	this	this	DET
ejpam-5845	666	2	differentiation	differentiation	NOUN
ejpam-5845	666	3	enhances	enhance	VERB
ejpam-5845	666	4	the	the	DET
ejpam-5845	666	5	overall	overall	ADJ
ejpam-5845	666	6	accuracy	accuracy	NOUN
ejpam-5845	666	7	of	of	ADP
ejpam-5845	666	8	the	the	DET
ejpam-5845	666	9	uncertain	uncertain	ADJ
ejpam-5845	666	10	scenario	scenario	NOUN
ejpam-5845	666	11	.	.	PUNCT
ejpam-5845	667	1	the	the	DET
ejpam-5845	667	2	modified	modify	VERB
ejpam-5845	667	3	neutrosophic	neutrosophic	ADJ
ejpam-5845	667	4	set	set	NOUN
ejpam-5845	667	5	is	be	AUX
ejpam-5845	667	6	referred	refer	VERB
ejpam-5845	667	7	to	to	ADP
ejpam-5845	667	8	as	as	ADP
ejpam-5845	667	9	a	a	DET
ejpam-5845	667	10	quadri	quadri	NOUN
ejpam-5845	667	11	-	-	PUNCT
ejpam-5845	667	12	portioned	portion	VERB
ejpam-5845	667	13	neutrosophic	neutrosophic	ADJ
ejpam-5845	667	14	soft	soft	ADJ
ejpam-5845	667	15	set	set	NOUN
ejpam-5845	667	16	(	(	PUNCT
ejpam-5845	667	17	qpnss	qpnss	NOUN
ejpam-5845	667	18	)	)	PUNCT
ejpam-5845	667	19	.	.	PUNCT
ejpam-5845	668	1	this	this	DET
ejpam-5845	668	2	model	model	NOUN
ejpam-5845	668	3	contains	contain	VERB
ejpam-5845	668	4	four	four	NUM
ejpam-5845	668	5	membership	membership	NOUN
ejpam-5845	668	6	attributes	attribute	NOUN
ejpam-5845	668	7	that	that	PRON
ejpam-5845	668	8	are	be	AUX
ejpam-5845	668	9	extremely	extremely	ADV
ejpam-5845	668	10	relevant	relevant	ADJ
ejpam-5845	668	11	in	in	ADP
ejpam-5845	668	12	real	real	ADJ
ejpam-5845	668	13	-	-	PUNCT
ejpam-5845	668	14	world	world	NOUN
ejpam-5845	668	15	situations	situation	NOUN
ejpam-5845	668	16	:	:	PUNCT
ejpam-5845	668	17	absolute	absolute	ADJ
ejpam-5845	668	18	truth	truth	NOUN
ejpam-5845	668	19	,	,	PUNCT
ejpam-5845	668	20	relative	relative	ADJ
ejpam-5845	668	21	truth	truth	NOUN
ejpam-5845	668	22	,	,	PUNCT
ejpam-5845	668	23	relative	relative	ADJ
ejpam-5845	668	24	false	false	ADJ
ejpam-5845	668	25	,	,	PUNCT
ejpam-5845	668	26	and	and	CCONJ
ejpam-5845	668	27	absolute	absolute	ADJ
ejpam-5845	668	28	false	false	ADJ
ejpam-5845	668	29	,	,	PUNCT
ejpam-5845	668	30	allowing	allow	VERB
ejpam-5845	668	31	for	for	ADP
ejpam-5845	668	32	greater	great	ADJ
ejpam-5845	668	33	clarity	clarity	NOUN
ejpam-5845	668	34	in	in	ADP
ejpam-5845	668	35	uncertain	uncertain	ADJ
ejpam-5845	668	36	situations	situation	NOUN
ejpam-5845	668	37	.	.	PUNCT
ejpam-5845	669	1	extremely	extremely	ADV
ejpam-5845	669	2	new	new	ADJ
ejpam-5845	669	3	operations	operation	NOUN
ejpam-5845	669	4	are	be	AUX
ejpam-5845	669	5	defined	define	VERB
ejpam-5845	669	6	on	on	ADP
ejpam-5845	669	7	qpnss	qpnss	NOUN
ejpam-5845	669	8	,	,	PUNCT
ejpam-5845	669	9	including	include	VERB
ejpam-5845	669	10	quadri	quadri	NOUN
ejpam-5845	669	11	-	-	PUNCT
ejpam-5845	669	12	partitioned	partition	VERB
ejpam-5845	669	13	neutrosophic	neutrosophic	ADJ
ejpam-5845	669	14	soft	soft	ADJ
ejpam-5845	669	15	set	set	NOUN
ejpam-5845	669	16	,	,	PUNCT
ejpam-5845	669	17	quadri	quadri	NOUN
ejpam-5845	669	18	-	-	PUNCT
ejpam-5845	669	19	partitioned	partition	VERB
ejpam-5845	669	20	neutrosophic	neutrosophic	ADJ
ejpam-5845	669	21	soft	soft	ADJ
ejpam-5845	669	22	sub	sub	NOUN
ejpam-5845	669	23	-	-	NOUN
ejpam-5845	669	24	sets	set	NOUN
ejpam-5845	669	25	,	,	PUNCT
ejpam-5845	669	26	complement	complement	NOUN
ejpam-5845	669	27	of	of	ADP
ejpam-5845	669	28	quadri	quadri	NOUN
ejpam-5845	669	29	-	-	PUNCT
ejpam-5845	669	30	partitioned	partition	VERB
ejpam-5845	669	31	neutrosophic	neutrosophic	ADJ
ejpam-5845	669	32	soft	soft	ADJ
ejpam-5845	669	33	set	set	NOUN
ejpam-5845	669	34	,	,	PUNCT
ejpam-5845	669	35	absolute	absolute	PROPN
ejpam-5845	669	36	quadri	quadri	NOUN
ejpam-5845	669	37	-	-	PUNCT
ejpam-5845	669	38	partitioned	partition	VERB
ejpam-5845	669	39	neutrosophic	neutrosophic	ADJ
ejpam-5845	669	40	soft	soft	ADJ
ejpam-5845	669	41	set	set	NOUN
ejpam-5845	669	42	,	,	PUNCT
ejpam-5845	669	43	quadri	quadri	NOUN
ejpam-5845	669	44	-	-	PUNCT
ejpam-5845	669	45	partitioned	partition	VERB
ejpam-5845	669	46	neutrosophic	neutrosophic	ADJ
ejpam-5845	669	47	soft	soft	ADJ
ejpam-5845	669	48	difference	difference	NOUN
ejpam-5845	669	49	of	of	ADP
ejpam-5845	669	50	sets	set	NOUN
ejpam-5845	669	51	,	,	PUNCT
ejpam-5845	669	52	and	and	CCONJ
ejpam-5845	669	53	absolute	absolute	ADJ
ejpam-5845	669	54	null	null	ADJ
ejpam-5845	669	55	quadri	quadri	NOUN
ejpam-5845	669	56	-	-	PUNCT
ejpam-5845	669	57	partitioned	partition	VERB
ejpam-5845	669	58	neutrosophic	neutrosophic	ADJ
ejpam-5845	669	59	soft	soft	ADJ
ejpam-5845	669	60	set	set	NOUN
ejpam-5845	669	61	.	.	PUNCT
ejpam-5845	670	1	in	in	ADP
ejpam-5845	670	2	addition	addition	NOUN
ejpam-5845	670	3	to	to	ADP
ejpam-5845	670	4	this	this	PRON
ejpam-5845	670	5	,	,	PUNCT
ejpam-5845	670	6	and	and	CCONJ
ejpam-5845	670	7	and	and	CCONJ
ejpam-5845	670	8	or	or	CCONJ
ejpam-5845	670	9	operations	operation	NOUN
ejpam-5845	670	10	are	be	AUX
ejpam-5845	670	11	also	also	ADV
ejpam-5845	670	12	defined	define	VERB
ejpam-5845	670	13	.	.	PUNCT
ejpam-5845	671	1	m.	m.	NOUN
ejpam-5845	671	2	m.	m.	PROPN
ejpam-5845	671	3	saeed	saeed	PROPN
ejpam-5845	671	4	et	et	PROPN
ejpam-5845	671	5	al	al	PROPN
ejpam-5845	671	6	.	.	PUNCT
ejpam-5845	671	7	/	/	SYM
ejpam-5845	671	8	eur	eur	PROPN
ejpam-5845	671	9	.	.	PUNCT
ejpam-5845	672	1	j.	j.	PROPN
ejpam-5845	672	2	pure	pure	PROPN
ejpam-5845	672	3	appl	appl	PROPN
ejpam-5845	672	4	.	.	PROPN
ejpam-5845	672	5	math	math	PROPN
ejpam-5845	672	6	,	,	PUNCT
ejpam-5845	672	7	18	18	NUM
ejpam-5845	672	8	(	(	PUNCT
ejpam-5845	672	9	2	2	NUM
ejpam-5845	672	10	)	)	PUNCT
ejpam-5845	672	11	(	(	PUNCT
ejpam-5845	672	12	2025	2025	NUM
ejpam-5845	672	13	)	)	PUNCT
ejpam-5845	672	14	,	,	PUNCT
ejpam-5845	672	15	5845	5845	NUM
ejpam-5845	672	16	29	29	NUM
ejpam-5845	672	17	of	of	ADP
ejpam-5845	672	18	32	32	NUM
ejpam-5845	672	19	quadri	quadri	NOUN
ejpam-5845	672	20	-	-	PUNCT
ejpam-5845	672	21	partitioned	partition	VERB
ejpam-5845	672	22	neutrosophic	neutrosophic	ADJ
ejpam-5845	672	23	soft	soft	ADJ
ejpam-5845	672	24	topological	topological	ADJ
ejpam-5845	672	25	space	space	NOUN
ejpam-5845	672	26	(	(	PUNCT
ejpam-5845	672	27	qpnsts	qpnst	NOUN
ejpam-5845	672	28	)	)	PUNCT
ejpam-5845	672	29	is	be	AUX
ejpam-5845	672	30	defined	define	VERB
ejpam-5845	672	31	,	,	PUNCT
ejpam-5845	672	32	and	and	CCONJ
ejpam-5845	672	33	the	the	DET
ejpam-5845	672	34	basic	basic	ADJ
ejpam-5845	672	35	results	result	NOUN
ejpam-5845	672	36	related	relate	VERB
ejpam-5845	672	37	to	to	ADP
ejpam-5845	672	38	this	this	DET
ejpam-5845	672	39	structure	structure	NOUN
ejpam-5845	672	40	are	be	AUX
ejpam-5845	672	41	addressed	address	VERB
ejpam-5845	672	42	.	.	PUNCT
ejpam-5845	673	1	three	three	NUM
ejpam-5845	673	2	new	new	ADJ
ejpam-5845	673	3	definitions	definition	NOUN
ejpam-5845	673	4	are	be	AUX
ejpam-5845	673	5	given	give	VERB
ejpam-5845	673	6	,	,	PUNCT
ejpam-5845	673	7	and	and	CCONJ
ejpam-5845	673	8	based	base	VERB
ejpam-5845	673	9	on	on	ADP
ejpam-5845	673	10	one	one	NUM
ejpam-5845	673	11	of	of	ADP
ejpam-5845	673	12	these	these	PRON
ejpam-5845	673	13	,	,	PUNCT
ejpam-5845	673	14	known	know	VERB
ejpam-5845	673	15	as	as	ADP
ejpam-5845	673	16	pre	pre	ADJ
ejpam-5845	673	17	-	-	ADJ
ejpam-5845	673	18	open	open	ADJ
ejpam-5845	673	19	(	(	PUNCT
ejpam-5845	673	20	p	p	NOUN
ejpam-5845	673	21	-	-	PUNCT
ejpam-5845	673	22	open	open	ADJ
ejpam-5845	673	23	)	)	PUNCT
ejpam-5845	673	24	sets	set	NOUN
ejpam-5845	673	25	,	,	PUNCT
ejpam-5845	673	26	some	some	DET
ejpam-5845	673	27	results	result	NOUN
ejpam-5845	673	28	are	be	AUX
ejpam-5845	673	29	established	establish	VERB
ejpam-5845	673	30	.	.	PUNCT
ejpam-5845	674	1	interior	interior	ADJ
ejpam-5845	674	2	,	,	PUNCT
ejpam-5845	674	3	closure	closure	NOUN
ejpam-5845	674	4	,	,	PUNCT
ejpam-5845	674	5	and	and	CCONJ
ejpam-5845	674	6	related	related	ADJ
ejpam-5845	674	7	results	result	NOUN
ejpam-5845	674	8	using	use	VERB
ejpam-5845	674	9	these	these	DET
ejpam-5845	674	10	concepts	concept	NOUN
ejpam-5845	674	11	are	be	AUX
ejpam-5845	674	12	also	also	ADV
ejpam-5845	674	13	addressed	address	VERB
ejpam-5845	674	14	.	.	PUNCT
ejpam-5845	675	1	examples	example	NOUN
ejpam-5845	675	2	are	be	AUX
ejpam-5845	675	3	developed	develop	VERB
ejpam-5845	675	4	for	for	ADP
ejpam-5845	675	5	a	a	DET
ejpam-5845	675	6	clear	clear	ADJ
ejpam-5845	675	7	understanding	understanding	NOUN
ejpam-5845	675	8	.	.	PUNCT
ejpam-5845	676	1	in	in	ADP
ejpam-5845	676	2	the	the	DET
ejpam-5845	676	3	context	context	NOUN
ejpam-5845	676	4	of	of	ADP
ejpam-5845	676	5	qpnsbts	qpnsbt	NOUN
ejpam-5845	676	6	and	and	CCONJ
ejpam-5845	676	7	qpns	qpns	NOUN
ejpam-5845	676	8	p	p	ADJ
ejpam-5845	676	9	-	-	PUNCT
ejpam-5845	676	10	compact	compact	ADJ
ejpam-5845	676	11	spaces	space	NOUN
ejpam-5845	676	12	,	,	PUNCT
ejpam-5845	676	13	the	the	DET
ejpam-5845	676	14	idea	idea	NOUN
ejpam-5845	676	15	of	of	ADP
ejpam-5845	676	16	qpns	qpns	NOUN
ejpam-5845	676	17	compactness	compactness	NOUN
ejpam-5845	676	18	is	be	AUX
ejpam-5845	676	19	examined	examine	VERB
ejpam-5845	676	20	in	in	ADP
ejpam-5845	676	21	this	this	DET
ejpam-5845	676	22	section	section	NOUN
ejpam-5845	676	23	.	.	PUNCT
ejpam-5845	677	1	the	the	DET
ejpam-5845	677	2	concept	concept	NOUN
ejpam-5845	677	3	of	of	ADP
ejpam-5845	677	4	reducibility	reducibility	NOUN
ejpam-5845	677	5	to	to	PART
ejpam-5845	677	6	finite	finite	VERB
ejpam-5845	677	7	sub	sub	NOUN
ejpam-5845	677	8	-	-	NOUN
ejpam-5845	677	9	covers	cover	NOUN
ejpam-5845	677	10	is	be	AUX
ejpam-5845	677	11	one	one	NUM
ejpam-5845	677	12	of	of	ADP
ejpam-5845	677	13	the	the	DET
ejpam-5845	677	14	features	feature	NOUN
ejpam-5845	677	15	of	of	ADP
ejpam-5845	677	16	a	a	DET
ejpam-5845	677	17	qpns	qpns	NOUN
ejpam-5845	677	18	cover	cover	NOUN
ejpam-5845	677	19	that	that	SCONJ
ejpam-5845	677	20	we	we	PRON
ejpam-5845	677	21	define	define	VERB
ejpam-5845	677	22	and	and	CCONJ
ejpam-5845	677	23	study	study	VERB
ejpam-5845	677	24	.	.	PUNCT
ejpam-5845	678	1	important	important	ADJ
ejpam-5845	678	2	theorems	theorem	NOUN
ejpam-5845	678	3	prove	prove	VERB
ejpam-5845	678	4	that	that	SCONJ
ejpam-5845	678	5	the	the	DET
ejpam-5845	678	6	intersection	intersection	NOUN
ejpam-5845	678	7	of	of	ADP
ejpam-5845	678	8	qpns	qpns	NOUN
ejpam-5845	678	9	p	p	NOUN
ejpam-5845	678	10	-	-	PUNCT
ejpam-5845	678	11	closed	close	VERB
ejpam-5845	678	12	sets	set	NOUN
ejpam-5845	678	13	is	be	AUX
ejpam-5845	678	14	non	non	ADJ
ejpam-5845	678	15	-	-	ADJ
ejpam-5845	678	16	empty	empty	ADJ
ejpam-5845	678	17	and	and	CCONJ
ejpam-5845	678	18	that	that	SCONJ
ejpam-5845	678	19	a	a	DET
ejpam-5845	678	20	qpns	qpns	NOUN
ejpam-5845	678	21	p	p	ADJ
ejpam-5845	678	22	-	-	PUNCT
ejpam-5845	678	23	compact	compact	ADJ
ejpam-5845	678	24	space	space	NOUN
ejpam-5845	678	25	preserves	preserve	VERB
ejpam-5845	678	26	the	the	DET
ejpam-5845	678	27	finite	finite	ADJ
ejpam-5845	678	28	intersection	intersection	NOUN
ejpam-5845	678	29	property	property	NOUN
ejpam-5845	678	30	among	among	ADP
ejpam-5845	678	31	its	its	PRON
ejpam-5845	678	32	qpns	qpns	NOUN
ejpam-5845	678	33	p	p	NOUN
ejpam-5845	678	34	-	-	PUNCT
ejpam-5845	678	35	closed	close	VERB
ejpam-5845	678	36	sets	set	NOUN
ejpam-5845	678	37	.	.	PUNCT
ejpam-5845	679	1	we	we	PRON
ejpam-5845	679	2	also	also	ADV
ejpam-5845	679	3	prove	prove	VERB
ejpam-5845	679	4	the	the	DET
ejpam-5845	679	5	existence	existence	NOUN
ejpam-5845	679	6	of	of	ADP
ejpam-5845	679	7	disjoint	disjoint	NOUN
ejpam-5845	679	8	qpns	qpns	NOUN
ejpam-5845	679	9	p	p	NOUN
ejpam-5845	679	10	-	-	PUNCT
ejpam-5845	679	11	open	open	ADJ
ejpam-5845	679	12	sets	set	NOUN
ejpam-5845	679	13	separating	separate	VERB
ejpam-5845	679	14	disjoint	disjoint	NOUN
ejpam-5845	679	15	qpns	qpns	NOUN
ejpam-5845	679	16	p	p	ADJ
ejpam-5845	679	17	-	-	PUNCT
ejpam-5845	679	18	compact	compact	ADJ
ejpam-5845	679	19	subsets	subset	NOUN
ejpam-5845	679	20	in	in	ADP
ejpam-5845	679	21	a	a	DET
ejpam-5845	679	22	qpns	qpns	NOUN
ejpam-5845	679	23	p	p	NOUN
ejpam-5845	679	24	-	-	PUNCT
ejpam-5845	679	25	hausdorff	hausdorff	NOUN
ejpam-5845	679	26	space	space	NOUN
ejpam-5845	679	27	and	and	CCONJ
ejpam-5845	679	28	show	show	VERB
ejpam-5845	679	29	that	that	SCONJ
ejpam-5845	679	30	a	a	DET
ejpam-5845	679	31	qpns	qpns	NOUN
ejpam-5845	679	32	p	p	NOUN
ejpam-5845	679	33	-	-	PUNCT
ejpam-5845	679	34	closed	closed	ADJ
ejpam-5845	679	35	subset	subset	NOUN
ejpam-5845	679	36	of	of	ADP
ejpam-5845	679	37	a	a	DET
ejpam-5845	679	38	qpns	qpns	NOUN
ejpam-5845	679	39	p	p	ADJ
ejpam-5845	679	40	-	-	PUNCT
ejpam-5845	679	41	compact	compact	ADJ
ejpam-5845	679	42	space	space	NOUN
ejpam-5845	679	43	remains	remain	VERB
ejpam-5845	679	44	qpns	qpns	NOUN
ejpam-5845	679	45	p	p	NOUN
ejpam-5845	679	46	-	-	PUNCT
ejpam-5845	679	47	compact	compact	ADJ
ejpam-5845	679	48	.	.	PUNCT
ejpam-5845	680	1	the	the	DET
ejpam-5845	680	2	theoretical	theoretical	ADJ
ejpam-5845	680	3	underpinning	underpinning	NOUN
ejpam-5845	680	4	of	of	ADP
ejpam-5845	680	5	qpns	qpns	NOUN
ejpam-5845	680	6	spaces	space	NOUN
ejpam-5845	680	7	is	be	AUX
ejpam-5845	680	8	improved	improve	VERB
ejpam-5845	680	9	by	by	ADP
ejpam-5845	680	10	this	this	DET
ejpam-5845	680	11	work	work	NOUN
ejpam-5845	680	12	,	,	PUNCT
ejpam-5845	680	13	which	which	PRON
ejpam-5845	680	14	advances	advance	VERB
ejpam-5845	680	15	our	our	PRON
ejpam-5845	680	16	knowledge	knowledge	NOUN
ejpam-5845	680	17	of	of	ADP
ejpam-5845	680	18	compactness	compactness	NOUN
ejpam-5845	680	19	in	in	ADP
ejpam-5845	680	20	soft	soft	ADJ
ejpam-5845	680	21	topological	topological	ADJ
ejpam-5845	680	22	spaces	space	NOUN
ejpam-5845	680	23	.	.	PUNCT
ejpam-5845	681	1	in	in	ADP
ejpam-5845	681	2	the	the	DET
ejpam-5845	681	3	future	future	NOUN
ejpam-5845	681	4	,	,	PUNCT
ejpam-5845	681	5	we	we	PRON
ejpam-5845	681	6	will	will	AUX
ejpam-5845	681	7	examine	examine	VERB
ejpam-5845	681	8	the	the	DET
ejpam-5845	681	9	real	real	ADJ
ejpam-5845	681	10	-	-	PUNCT
ejpam-5845	681	11	world	world	NOUN
ejpam-5845	681	12	applications	application	NOUN
ejpam-5845	681	13	of	of	ADP
ejpam-5845	681	14	qpnss	qpnss	NOUN
ejpam-5845	681	15	in	in	ADP
ejpam-5845	681	16	domains	domain	NOUN
ejpam-5845	681	17	such	such	ADJ
ejpam-5845	681	18	as	as	ADP
ejpam-5845	681	19	artificial	artificial	ADJ
ejpam-5845	681	20	intelligence	intelligence	NOUN
ejpam-5845	681	21	,	,	PUNCT
ejpam-5845	681	22	risk	risk	NOUN
ejpam-5845	681	23	assessment	assessment	NOUN
ejpam-5845	681	24	,	,	PUNCT
ejpam-5845	681	25	and	and	CCONJ
ejpam-5845	681	26	decision	decision	NOUN
ejpam-5845	681	27	-	-	PUNCT
ejpam-5845	681	28	making	making	NOUN
ejpam-5845	681	29	.	.	PUNCT
ejpam-5845	682	1	we	we	PRON
ejpam-5845	682	2	will	will	AUX
ejpam-5845	682	3	create	create	VERB
ejpam-5845	682	4	algorithms	algorithm	NOUN
ejpam-5845	682	5	for	for	ADP
ejpam-5845	682	6	pattern	pattern	NOUN
ejpam-5845	682	7	identification	identification	NOUN
ejpam-5845	682	8	and	and	CCONJ
ejpam-5845	682	9	data	datum	NOUN
ejpam-5845	682	10	analysis	analysis	NOUN
ejpam-5845	682	11	based	base	VERB
ejpam-5845	682	12	on	on	ADP
ejpam-5845	682	13	qpnss	qpnss	NOUN
ejpam-5845	682	14	.	.	PUNCT
ejpam-5845	683	1	these	these	DET
ejpam-5845	683	2	algorithms	algorithm	NOUN
ejpam-5845	683	3	may	may	AUX
ejpam-5845	683	4	perform	perform	VERB
ejpam-5845	683	5	better	well	ADV
ejpam-5845	683	6	in	in	ADP
ejpam-5845	683	7	complex	complex	ADJ
ejpam-5845	683	8	data	datum	NOUN
ejpam-5845	683	9	sets	set	NOUN
ejpam-5845	683	10	by	by	ADP
ejpam-5845	683	11	taking	take	VERB
ejpam-5845	683	12	advantage	advantage	NOUN
ejpam-5845	683	13	of	of	ADP
ejpam-5845	683	14	the	the	DET
ejpam-5845	683	15	increased	increase	VERB
ejpam-5845	683	16	sensitivity	sensitivity	NOUN
ejpam-5845	683	17	to	to	ADP
ejpam-5845	683	18	indeterminacy	indeterminacy	NOUN
ejpam-5845	683	19	.	.	PUNCT
ejpam-5845	684	1	we	we	PRON
ejpam-5845	684	2	will	will	AUX
ejpam-5845	684	3	explore	explore	VERB
ejpam-5845	684	4	machine	machine	NOUN
ejpam-5845	684	5	learning	learn	VERB
ejpam-5845	684	6	techniques	technique	NOUN
ejpam-5845	684	7	to	to	PART
ejpam-5845	684	8	examine	examine	VERB
ejpam-5845	684	9	how	how	SCONJ
ejpam-5845	684	10	qpnss	qpnss	NOUN
ejpam-5845	684	11	can	can	AUX
ejpam-5845	684	12	be	be	AUX
ejpam-5845	684	13	integrated	integrate	VERB
ejpam-5845	684	14	into	into	ADP
ejpam-5845	684	15	machine	machine	NOUN
ejpam-5845	684	16	learning	learning	NOUN
ejpam-5845	684	17	models	model	NOUN
ejpam-5845	684	18	,	,	PUNCT
ejpam-5845	684	19	especially	especially	ADV
ejpam-5845	684	20	when	when	SCONJ
ejpam-5845	684	21	dealing	deal	VERB
ejpam-5845	684	22	with	with	ADP
ejpam-5845	684	23	ambiguous	ambiguous	ADJ
ejpam-5845	684	24	or	or	CCONJ
ejpam-5845	684	25	insufficient	insufficient	ADJ
ejpam-5845	684	26	data	datum	NOUN
ejpam-5845	684	27	.	.	PUNCT
ejpam-5845	685	1	acknowledgements	acknowledgement	NOUN
ejpam-5845	685	2	the	the	DET
ejpam-5845	685	3	authors	author	NOUN
ejpam-5845	685	4	extend	extend	VERB
ejpam-5845	685	5	their	their	PRON
ejpam-5845	685	6	appreciation	appreciation	NOUN
ejpam-5845	685	7	to	to	ADP
ejpam-5845	685	8	the	the	DET
ejpam-5845	685	9	deanship	deanship	NOUN
ejpam-5845	685	10	of	of	ADP
ejpam-5845	685	11	scientific	scientific	ADJ
ejpam-5845	685	12	research	research	NOUN
ejpam-5845	685	13	at	at	ADP
ejpam-5845	685	14	northern	northern	ADJ
ejpam-5845	685	15	border	border	NOUN
ejpam-5845	685	16	university	university	PROPN
ejpam-5845	685	17	,	,	PUNCT
ejpam-5845	685	18	arar	arar	PROPN
ejpam-5845	685	19	,	,	PUNCT
ejpam-5845	685	20	ksa	ksa	PROPN
ejpam-5845	685	21	for	for	ADP
ejpam-5845	685	22	funding	fund	VERB
ejpam-5845	685	23	this	this	DET
ejpam-5845	685	24	research	research	NOUN
ejpam-5845	685	25	work	work	NOUN
ejpam-5845	685	26	through	through	ADP
ejpam-5845	685	27	the	the	DET
ejpam-5845	685	28	project	project	NOUN
ejpam-5845	685	29	number	number	NOUN
ejpam-5845	685	30	“	"	PUNCT
ejpam-5845	685	31	nbuffr-2025	nbuffr-2025	ADJ
ejpam-5845	685	32	-	-	PUNCT
ejpam-5845	685	33	1153	1153	NUM
ejpam-5845	685	34	-	-	SYM
ejpam-5845	685	35	02	02	NUM
ejpam-5845	685	36	”	"	PUNCT
ejpam-5845	685	37	.	.	PUNCT
ejpam-5845	686	1	declarations	declaration	NOUN
ejpam-5845	686	2	author	author	NOUN
ejpam-5845	686	3	contributions	contribution	NOUN
ejpam-5845	686	4	:	:	PUNCT
ejpam-5845	686	5	all	all	DET
ejpam-5845	686	6	authors	author	NOUN
ejpam-5845	686	7	equally	equally	ADV
ejpam-5845	686	8	contributed	contribute	VERB
ejpam-5845	686	9	.	.	PUNCT
ejpam-5845	687	1	conflicts	conflict	NOUN
ejpam-5845	687	2	of	of	ADP
ejpam-5845	687	3	interest	interest	NOUN
ejpam-5845	687	4	:	:	PUNCT
ejpam-5845	687	5	the	the	DET
ejpam-5845	687	6	authors	author	NOUN
ejpam-5845	687	7	declare	declare	VERB
ejpam-5845	687	8	that	that	SCONJ
ejpam-5845	687	9	there	there	PRON
ejpam-5845	687	10	are	be	VERB
ejpam-5845	687	11	no	no	DET
ejpam-5845	687	12	conflicts	conflict	NOUN
ejpam-5845	687	13	of	of	ADP
ejpam-5845	687	14	interest	interest	NOUN
ejpam-5845	687	15	regarding	regard	VERB
ejpam-5845	687	16	the	the	DET
ejpam-5845	687	17	publication	publication	NOUN
ejpam-5845	687	18	of	of	ADP
ejpam-5845	687	19	this	this	DET
ejpam-5845	687	20	paper	paper	NOUN
ejpam-5845	687	21	.	.	PUNCT
ejpam-5845	688	1	availability	availability	NOUN
ejpam-5845	688	2	of	of	ADP
ejpam-5845	688	3	data	datum	NOUN
ejpam-5845	688	4	and	and	CCONJ
ejpam-5845	688	5	materials	material	NOUN
ejpam-5845	688	6	:	:	PUNCT
ejpam-5845	688	7	all	all	DET
ejpam-5845	688	8	the	the	DET
ejpam-5845	688	9	data	datum	NOUN
ejpam-5845	688	10	and	and	CCONJ
ejpam-5845	688	11	materials	material	NOUN
ejpam-5845	688	12	are	be	AUX
ejpam-5845	688	13	provided	provide	VERB
ejpam-5845	688	14	in	in	ADP
ejpam-5845	688	15	the	the	DET
ejpam-5845	688	16	manuscript	manuscript	NOUN
ejpam-5845	688	17	.	.	PUNCT
ejpam-5845	689	1	nomenclature	nomenclature	NOUN
ejpam-5845	689	2	the	the	DET
ejpam-5845	689	3	following	follow	VERB
ejpam-5845	689	4	abbreviations	abbreviation	NOUN
ejpam-5845	689	5	are	be	AUX
ejpam-5845	689	6	used	use	VERB
ejpam-5845	689	7	in	in	ADP
ejpam-5845	689	8	this	this	DET
ejpam-5845	689	9	manuscript	manuscript	NOUN
ejpam-5845	689	10	:	:	PUNCT
ejpam-5845	689	11	•	•	NUM
ejpam-5845	689	12	cst	cst	PROPN
ejpam-5845	689	13	:	:	PUNCT
ejpam-5845	689	14	crisp	crisp	ADJ
ejpam-5845	689	15	set	set	NOUN
ejpam-5845	689	16	theory	theory	NOUN
ejpam-5845	689	17	•	•	NUM
ejpam-5845	689	18	fst	fst	NOUN
ejpam-5845	689	19	:	:	PUNCT
ejpam-5845	689	20	fuzzy	fuzzy	ADJ
ejpam-5845	689	21	set	set	NOUN
ejpam-5845	689	22	theory	theory	NOUN
ejpam-5845	689	23	•	•	NOUN
ejpam-5845	689	24	ifst	ifst	NOUN
ejpam-5845	689	25	:	:	PUNCT
ejpam-5845	689	26	intuitionistic	intuitionistic	ADJ
ejpam-5845	689	27	fuzzy	fuzzy	ADJ
ejpam-5845	689	28	set	set	NOUN
ejpam-5845	689	29	theory	theory	NOUN
ejpam-5845	689	30	•	•	NOUN
ejpam-5845	689	31	ns	ns	NUM
ejpam-5845	689	32	:	:	PUNCT
ejpam-5845	689	33	neutrosophic	neutrosophic	ADJ
ejpam-5845	689	34	set	set	VERB
ejpam-5845	689	35	•	•	NOUN
ejpam-5845	689	36	svns	svns	NOUN
ejpam-5845	689	37	:	:	PUNCT
ejpam-5845	689	38	single	single	ADJ
ejpam-5845	689	39	valued	value	VERB
ejpam-5845	689	40	neutrosophic	neutrosophic	ADJ
ejpam-5845	689	41	set	set	VERB
ejpam-5845	689	42	•	•	NOUN
ejpam-5845	689	43	nst	nst	PROPN
ejpam-5845	689	44	:	:	PUNCT
ejpam-5845	689	45	neutrosophic	neutrosophic	ADJ
ejpam-5845	689	46	set	set	NOUN
ejpam-5845	689	47	theory	theory	NOUN
ejpam-5845	689	48	•	•	ADP
ejpam-5845	689	49	sst	sst	PROPN
ejpam-5845	689	50	:	:	PUNCT
ejpam-5845	689	51	soft	soft	ADJ
ejpam-5845	689	52	set	set	ADJ
ejpam-5845	689	53	theory	theory	NOUN
ejpam-5845	689	54	m.	m.	NOUN
ejpam-5845	689	55	m.	m.	PROPN
ejpam-5845	689	56	saeed	saeed	PROPN
ejpam-5845	689	57	et	et	PROPN
ejpam-5845	689	58	al	al	PROPN
ejpam-5845	689	59	.	.	PUNCT
ejpam-5845	689	60	/	/	SYM
ejpam-5845	689	61	eur	eur	PROPN
ejpam-5845	689	62	.	.	PUNCT
ejpam-5845	690	1	j.	j.	PROPN
ejpam-5845	690	2	pure	pure	PROPN
ejpam-5845	690	3	appl	appl	PROPN
ejpam-5845	690	4	.	.	PROPN
ejpam-5845	690	5	math	math	PROPN
ejpam-5845	690	6	,	,	PUNCT
ejpam-5845	690	7	18	18	NUM
ejpam-5845	690	8	(	(	PUNCT
ejpam-5845	690	9	2	2	NUM
ejpam-5845	690	10	)	)	PUNCT
ejpam-5845	690	11	(	(	PUNCT
ejpam-5845	690	12	2025	2025	NUM
ejpam-5845	690	13	)	)	PUNCT
ejpam-5845	690	14	,	,	PUNCT
ejpam-5845	690	15	5845	5845	NUM
ejpam-5845	690	16	30	30	NUM
ejpam-5845	690	17	of	of	ADP
ejpam-5845	690	18	32	32	NUM
ejpam-5845	690	19	•	•	NUM
ejpam-5845	690	20	fsst	fsst	NOUN
ejpam-5845	690	21	:	:	PUNCT
ejpam-5845	690	22	fuzzy	fuzzy	ADJ
ejpam-5845	690	23	soft	soft	ADJ
ejpam-5845	690	24	set	set	NOUN
ejpam-5845	690	25	theory	theory	NOUN
ejpam-5845	690	26	•	•	NOUN
ejpam-5845	690	27	vsst	vsst	NOUN
ejpam-5845	690	28	:	:	PUNCT
ejpam-5845	690	29	vague	vague	ADJ
ejpam-5845	690	30	soft	soft	ADJ
ejpam-5845	690	31	set	set	NOUN
ejpam-5845	690	32	theory	theory	NOUN
ejpam-5845	690	33	•	•	NOUN
ejpam-5845	690	34	nsst	nsst	ADV
ejpam-5845	690	35	:	:	PUNCT
ejpam-5845	690	36	neutrosophic	neutrosophic	ADJ
ejpam-5845	690	37	soft	soft	ADJ
ejpam-5845	690	38	set	set	NOUN
ejpam-5845	690	39	theory	theory	NOUN
ejpam-5845	690	40	•	•	NOUN
ejpam-5845	690	41	dvns	dvn	NOUN
ejpam-5845	690	42	:	:	PUNCT
ejpam-5845	690	43	double	double	ADJ
ejpam-5845	690	44	-	-	PUNCT
ejpam-5845	690	45	valued	value	VERB
ejpam-5845	690	46	neutrosophic	neutrosophic	ADJ
ejpam-5845	690	47	set	set	VERB
ejpam-5845	690	48	•	•	NUM
ejpam-5845	690	49	dvni	dvni	NOUN
ejpam-5845	690	50	:	:	PUNCT
ejpam-5845	690	51	double	double	ADJ
ejpam-5845	690	52	-	-	PUNCT
ejpam-5845	690	53	valued	value	VERB
ejpam-5845	690	54	neutrosophic	neutrosophic	ADJ
ejpam-5845	690	55	information	information	NOUN
ejpam-5845	690	56	•	•	NOUN
ejpam-5845	690	57	drinw	drinw	NOUN
ejpam-5845	690	58	:	:	PUNCT
ejpam-5845	690	59	double	double	ADJ
ejpam-5845	690	60	refined	refined	ADJ
ejpam-5845	690	61	indeterminacy	indeterminacy	NOUN
ejpam-5845	690	62	neutrosophic	neutrosophic	PROPN
ejpam-5845	690	63	weighted	weight	VERB
ejpam-5845	690	64	•	•	NUM
ejpam-5845	690	65	trins	trin	NOUN
ejpam-5845	690	66	:	:	PUNCT
ejpam-5845	690	67	triple	triple	ADJ
ejpam-5845	690	68	refined	refined	ADJ
ejpam-5845	690	69	indeterminate	indeterminate	NOUN
ejpam-5845	690	70	neutrosophic	neutrosophic	ADJ
ejpam-5845	690	71	set	set	VERB
ejpam-5845	690	72	•	•	NOUN
ejpam-5845	690	73	snhns	snhns	ADJ
ejpam-5845	690	74	:	:	PUNCT
ejpam-5845	690	75	single	single	ADJ
ejpam-5845	690	76	valued	value	VERB
ejpam-5845	690	77	heptapartitioned	heptapartitioned	ADJ
ejpam-5845	690	78	neutrosophic	neutrosophic	ADJ
ejpam-5845	690	79	set	set	NOUN
ejpam-5845	690	80	.	.	PUNCT
ejpam-5845	691	1	references	reference	NOUN
ejpam-5845	691	2	[	[	X
ejpam-5845	691	3	1	1	NUM
ejpam-5845	691	4	]	]	PUNCT
ejpam-5845	691	5	l.	l.	PROPN
ejpam-5845	691	6	a.	a.	PROPN
ejpam-5845	691	7	zadeh	zadeh	PROPN
ejpam-5845	691	8	.	.	PUNCT
ejpam-5845	692	1	fuzzy	fuzzy	ADJ
ejpam-5845	692	2	sets	set	NOUN
ejpam-5845	692	3	.	.	PUNCT
ejpam-5845	693	1	information	information	NOUN
ejpam-5845	693	2	and	and	CCONJ
ejpam-5845	693	3	control	control	NOUN
ejpam-5845	693	4	,	,	PUNCT
ejpam-5845	693	5	8(3):338–353	8(3):338–353	NUM
ejpam-5845	693	6	,	,	PUNCT
ejpam-5845	693	7	1965	1965	NUM
ejpam-5845	693	8	.	.	PUNCT
ejpam-5845	694	1	[	[	X
ejpam-5845	694	2	2	2	NUM
ejpam-5845	694	3	]	]	PUNCT
ejpam-5845	694	4	k.	k.	PROPN
ejpam-5845	694	5	atanassov	atanassov	PROPN
ejpam-5845	694	6	.	.	PUNCT
ejpam-5845	695	1	intuitionistic	intuitionistic	ADJ
ejpam-5845	695	2	fuzzy	fuzzy	ADJ
ejpam-5845	695	3	set	set	NOUN
ejpam-5845	695	4	.	.	PUNCT
ejpam-5845	696	1	fuzzy	fuzzy	ADJ
ejpam-5845	696	2	sets	set	NOUN
ejpam-5845	696	3	and	and	CCONJ
ejpam-5845	696	4	systems	system	NOUN
ejpam-5845	696	5	,	,	PUNCT
ejpam-5845	696	6	20(1):87–96	20(1):87–96	NUM
ejpam-5845	696	7	,	,	PUNCT
ejpam-5845	696	8	1986	1986	NUM
ejpam-5845	696	9	.	.	PUNCT
ejpam-5845	697	1	[	[	X
ejpam-5845	697	2	3	3	X
ejpam-5845	697	3	]	]	X
ejpam-5845	697	4	d.	d.	PROPN
ejpam-5845	697	5	molodtsov	molodtsov	PROPN
ejpam-5845	697	6	.	.	PUNCT
ejpam-5845	698	1	soft	soft	ADJ
ejpam-5845	698	2	set	set	NOUN
ejpam-5845	698	3	theory	theory	NOUN
ejpam-5845	698	4	:	:	PUNCT
ejpam-5845	698	5	first	first	ADJ
ejpam-5845	698	6	results	result	NOUN
ejpam-5845	698	7	.	.	PUNCT
ejpam-5845	699	1	computers	computer	NOUN
ejpam-5845	699	2	and	and	CCONJ
ejpam-5845	699	3	mathematics	mathematic	NOUN
ejpam-5845	699	4	with	with	ADP
ejpam-5845	699	5	applications	application	NOUN
ejpam-5845	699	6	,	,	PUNCT
ejpam-5845	699	7	37(4	37(4	PROPN
ejpam-5845	699	8	-	-	PUNCT
ejpam-5845	699	9	5):19–31	5):19–31	NUM
ejpam-5845	699	10	,	,	PUNCT
ejpam-5845	699	11	1999	1999	NUM
ejpam-5845	699	12	.	.	PUNCT
ejpam-5845	700	1	[	[	X
ejpam-5845	700	2	4	4	X
ejpam-5845	700	3	]	]	X
ejpam-5845	700	4	d.	d.	PROPN
ejpam-5845	700	5	molodtsov	molodtsov	PROPN
ejpam-5845	700	6	.	.	PUNCT
ejpam-5845	701	1	the	the	DET
ejpam-5845	701	2	theory	theory	NOUN
ejpam-5845	701	3	of	of	ADP
ejpam-5845	701	4	soft	soft	ADJ
ejpam-5845	701	5	sets	set	NOUN
ejpam-5845	701	6	.	.	PUNCT
ejpam-5845	702	1	urss	urss	ADJ
ejpam-5845	702	2	publishers	publisher	NOUN
ejpam-5845	702	3	,	,	PUNCT
ejpam-5845	702	4	moscow	moscow	PROPN
ejpam-5845	702	5	,	,	PUNCT
ejpam-5845	702	6	2004	2004	NUM
ejpam-5845	702	7	.	.	PUNCT
ejpam-5845	703	1	in	in	ADP
ejpam-5845	703	2	russian	russian	PROPN
ejpam-5845	703	3	.	.	PUNCT
ejpam-5845	704	1	[	[	X
ejpam-5845	704	2	5	5	X
ejpam-5845	704	3	]	]	PUNCT
ejpam-5845	704	4	w.	w.	PROPN
ejpam-5845	704	5	xu	xu	PROPN
ejpam-5845	704	6	,	,	PUNCT
ejpam-5845	704	7	j.	j.	PROPN
ejpam-5845	704	8	ma	ma	PROPN
ejpam-5845	704	9	,	,	PUNCT
ejpam-5845	704	10	s.	s.	PROPN
ejpam-5845	704	11	wang	wang	PROPN
ejpam-5845	704	12	,	,	PUNCT
ejpam-5845	704	13	and	and	CCONJ
ejpam-5845	704	14	g.	g.	PROPN
ejpam-5845	704	15	hao	hao	PROPN
ejpam-5845	704	16	.	.	PUNCT
ejpam-5845	705	1	vague	vague	ADJ
ejpam-5845	705	2	soft	soft	ADJ
ejpam-5845	705	3	sets	set	NOUN
ejpam-5845	705	4	and	and	CCONJ
ejpam-5845	705	5	their	their	PRON
ejpam-5845	705	6	properties	property	NOUN
ejpam-5845	705	7	.	.	PUNCT
ejpam-5845	706	1	computers	computer	NOUN
ejpam-5845	706	2	and	and	CCONJ
ejpam-5845	706	3	mathematics	mathematic	NOUN
ejpam-5845	706	4	with	with	ADP
ejpam-5845	706	5	applications	application	NOUN
ejpam-5845	706	6	,	,	PUNCT
ejpam-5845	706	7	59(2):787–794	59(2):787–794	PROPN
ejpam-5845	706	8	,	,	PUNCT
ejpam-5845	706	9	2010	2010	NUM
ejpam-5845	706	10	.	.	PUNCT
ejpam-5845	707	1	[	[	X
ejpam-5845	707	2	6	6	NUM
ejpam-5845	707	3	]	]	PUNCT
ejpam-5845	707	4	x.	x.	PROPN
ejpam-5845	707	5	huang	huang	PROPN
ejpam-5845	707	6	,	,	PUNCT
ejpam-5845	707	7	h.	h.	PROPN
ejpam-5845	707	8	lie	lie	PROPN
ejpam-5845	707	9	,	,	PUNCT
ejpam-5845	707	10	and	and	CCONJ
ejpam-5845	707	11	y.	y.	PROPN
ejpam-5845	707	12	yin	yin	PROPN
ejpam-5845	707	13	.	.	PUNCT
ejpam-5845	708	1	notes	note	NOUN
ejpam-5845	708	2	on	on	ADP
ejpam-5845	708	3	vague	vague	ADJ
ejpam-5845	708	4	soft	soft	ADJ
ejpam-5845	708	5	sets	set	NOUN
ejpam-5845	708	6	and	and	CCONJ
ejpam-5845	708	7	their	their	PRON
ejpam-5845	708	8	properties	property	NOUN
ejpam-5845	708	9	.	.	PUNCT
ejpam-5845	709	1	computers	computer	NOUN
ejpam-5845	709	2	and	and	CCONJ
ejpam-5845	709	3	mathematics	mathematic	NOUN
ejpam-5845	709	4	with	with	ADP
ejpam-5845	709	5	applications	application	NOUN
ejpam-5845	709	6	,	,	PUNCT
ejpam-5845	709	7	64(6):2153–2157	64(6):2153–2157	NUM
ejpam-5845	709	8	,	,	PUNCT
ejpam-5845	709	9	2012	2012	NUM
ejpam-5845	709	10	.	.	PUNCT
ejpam-5845	710	1	[	[	X
ejpam-5845	710	2	7	7	X
ejpam-5845	710	3	]	]	X
ejpam-5845	710	4	c.	c.	PROPN
ejpam-5845	710	5	wang	wang	PROPN
ejpam-5845	710	6	and	and	CCONJ
ejpam-5845	710	7	y.	y.	PROPN
ejpam-5845	710	8	lie	lie	PROPN
ejpam-5845	710	9	.	.	PUNCT
ejpam-5845	711	1	topological	topological	ADJ
ejpam-5845	711	2	structure	structure	NOUN
ejpam-5845	711	3	of	of	ADP
ejpam-5845	711	4	vague	vague	ADJ
ejpam-5845	711	5	soft	soft	ADJ
ejpam-5845	711	6	sets	set	NOUN
ejpam-5845	711	7	.	.	PUNCT
ejpam-5845	712	1	abstract	abstract	ADJ
ejpam-5845	712	2	and	and	CCONJ
ejpam-5845	712	3	applied	apply	VERB
ejpam-5845	712	4	analysis	analysis	NOUN
ejpam-5845	712	5	,	,	PUNCT
ejpam-5845	712	6	2014:504021	2014:504021	NUM
ejpam-5845	712	7	,	,	PUNCT
ejpam-5845	712	8	2014	2014	NUM
ejpam-5845	712	9	.	.	PUNCT
ejpam-5845	713	1	[	[	X
ejpam-5845	713	2	8	8	NUM
ejpam-5845	713	3	]	]	X
ejpam-5845	713	4	f.	f.	PROPN
ejpam-5845	713	5	smarandache	smarandache	PROPN
ejpam-5845	713	6	.	.	PUNCT
ejpam-5845	713	7	extension	extension	NOUN
ejpam-5845	713	8	of	of	ADP
ejpam-5845	713	9	soft	soft	ADJ
ejpam-5845	713	10	set	set	NOUN
ejpam-5845	713	11	to	to	ADP
ejpam-5845	713	12	hyper	hyper	ADJ
ejpam-5845	713	13	-	-	ADJ
ejpam-5845	713	14	soft	soft	ADJ
ejpam-5845	713	15	set	set	NOUN
ejpam-5845	713	16	,	,	PUNCT
ejpam-5845	713	17	and	and	CCONJ
ejpam-5845	713	18	then	then	ADV
ejpam-5845	713	19	to	to	ADP
ejpam-5845	713	20	plithogenic	plithogenic	ADJ
ejpam-5845	713	21	hyper	hyper	ADJ
ejpam-5845	713	22	-	-	ADJ
ejpam-5845	713	23	soft	soft	ADJ
ejpam-5845	713	24	set	set	NOUN
ejpam-5845	713	25	.	.	PUNCT
ejpam-5845	714	1	neutrosophic	neutrosophic	ADJ
ejpam-5845	714	2	sets	set	NOUN
ejpam-5845	714	3	and	and	CCONJ
ejpam-5845	714	4	systems	system	NOUN
ejpam-5845	714	5	,	,	PUNCT
ejpam-5845	714	6	22:168–170	22:168–170	PROPN
ejpam-5845	714	7	,	,	PUNCT
ejpam-5845	714	8	2018	2018	NUM
ejpam-5845	714	9	.	.	PUNCT
ejpam-5845	715	1	[	[	X
ejpam-5845	715	2	9	9	NUM
ejpam-5845	715	3	]	]	PUNCT
ejpam-5845	715	4	t.	t.	NOUN
ejpam-5845	715	5	bera	bera	NOUN
ejpam-5845	715	6	and	and	CCONJ
ejpam-5845	715	7	n.	n.	PROPN
ejpam-5845	715	8	k.	k.	PROPN
ejpam-5845	715	9	mahapatra	mahapatra	PROPN
ejpam-5845	715	10	.	.	PUNCT
ejpam-5845	716	1	introduction	introduction	NOUN
ejpam-5845	716	2	to	to	ADP
ejpam-5845	716	3	neutrosophic	neutrosophic	ADJ
ejpam-5845	716	4	soft	soft	ADJ
ejpam-5845	716	5	topological	topological	ADJ
ejpam-5845	716	6	space	space	NOUN
ejpam-5845	716	7	.	.	PUNCT
ejpam-5845	717	1	opsearch	opsearch	PROPN
ejpam-5845	717	2	,	,	PUNCT
ejpam-5845	717	3	54(4):841–867	54(4):841–867	PROPN
ejpam-5845	717	4	,	,	PUNCT
ejpam-5845	717	5	2017	2017	NUM
ejpam-5845	717	6	.	.	PUNCT
ejpam-5845	718	1	[	[	X
ejpam-5845	718	2	10	10	NUM
ejpam-5845	718	3	]	]	PUNCT
ejpam-5845	718	4	t.	t.	PROPN
ejpam-5845	718	5	y.	y.	PROPN
ejpam-5845	718	6	ozturk	ozturk	PROPN
ejpam-5845	718	7	,	,	PUNCT
ejpam-5845	718	8	c.	c.	PROPN
ejpam-5845	718	9	g.	g.	PROPN
ejpam-5845	718	10	aras	aras	PROPN
ejpam-5845	718	11	,	,	PUNCT
ejpam-5845	718	12	and	and	CCONJ
ejpam-5845	718	13	s.	s.	PROPN
ejpam-5845	718	14	bayramov	bayramov	PROPN
ejpam-5845	718	15	.	.	PUNCT
ejpam-5845	719	1	a	a	DET
ejpam-5845	719	2	new	new	ADJ
ejpam-5845	719	3	approach	approach	NOUN
ejpam-5845	719	4	to	to	ADP
ejpam-5845	719	5	operations	operation	NOUN
ejpam-5845	719	6	on	on	ADP
ejpam-5845	719	7	neutrosophic	neutrosophic	ADJ
ejpam-5845	719	8	soft	soft	ADJ
ejpam-5845	719	9	sets	set	NOUN
ejpam-5845	719	10	and	and	CCONJ
ejpam-5845	719	11	to	to	ADP
ejpam-5845	719	12	neutrosophic	neutrosophic	ADJ
ejpam-5845	719	13	soft	soft	ADJ
ejpam-5845	719	14	topological	topological	ADJ
ejpam-5845	719	15	spaces	space	NOUN
ejpam-5845	719	16	.	.	PUNCT
ejpam-5845	720	1	communications	communication	NOUN
ejpam-5845	720	2	in	in	ADP
ejpam-5845	720	3	mathematics	mathematic	NOUN
ejpam-5845	720	4	and	and	CCONJ
ejpam-5845	720	5	applications	application	NOUN
ejpam-5845	720	6	,	,	PUNCT
ejpam-5845	720	7	10(3):481–493	10(3):481–493	NUM
ejpam-5845	720	8	,	,	PUNCT
ejpam-5845	720	9	2019	2019	NUM
ejpam-5845	720	10	.	.	PUNCT
ejpam-5845	721	1	[	[	X
ejpam-5845	721	2	11	11	NUM
ejpam-5845	721	3	]	]	PUNCT
ejpam-5845	721	4	t.	t.	PROPN
ejpam-5845	721	5	y.	y.	PROPN
ejpam-5845	721	6	ozturk	ozturk	PROPN
ejpam-5845	721	7	,	,	PUNCT
ejpam-5845	721	8	e.	e.	PROPN
ejpam-5845	721	9	karatas	karatas	PROPN
ejpam-5845	721	10	,	,	PUNCT
ejpam-5845	721	11	and	and	CCONJ
ejpam-5845	721	12	a.	a.	NOUN
ejpam-5845	721	13	yolcu	yolcu	PROPN
ejpam-5845	721	14	.	.	PUNCT
ejpam-5845	722	1	on	on	ADP
ejpam-5845	722	2	neutrosophic	neutrosophic	ADJ
ejpam-5845	722	3	soft	soft	ADJ
ejpam-5845	722	4	continuous	continuous	ADJ
ejpam-5845	722	5	mappings	mapping	NOUN
ejpam-5845	722	6	.	.	PUNCT
ejpam-5845	723	1	turkish	turkish	ADJ
ejpam-5845	723	2	journal	journal	NOUN
ejpam-5845	723	3	of	of	ADP
ejpam-5845	723	4	mathematics	mathematic	NOUN
ejpam-5845	723	5	,	,	PUNCT
ejpam-5845	723	6	45(1):81–95	45(1):81–95	NUM
ejpam-5845	723	7	,	,	PUNCT
ejpam-5845	723	8	2021	2021	NUM
ejpam-5845	723	9	.	.	PUNCT
ejpam-5845	724	1	[	[	X
ejpam-5845	724	2	12	12	NUM
ejpam-5845	724	3	]	]	PUNCT
ejpam-5845	724	4	a.	a.	NOUN
ejpam-5845	724	5	mehmood	mehmood	PROPN
ejpam-5845	724	6	,	,	PUNCT
ejpam-5845	724	7	s.	s.	PROPN
ejpam-5845	724	8	abdullah	abdullah	PROPN
ejpam-5845	724	9	,	,	PUNCT
ejpam-5845	724	10	m.	m.	NOUN
ejpam-5845	724	11	m.	m.	PROPN
ejpam-5845	724	12	al	al	PROPN
ejpam-5845	724	13	-	-	PUNCT
ejpam-5845	724	14	shomrani	shomrani	PROPN
ejpam-5845	724	15	,	,	PUNCT
ejpam-5845	724	16	m.	m.	NOUN
ejpam-5845	724	17	i.	i.	PROPN
ejpam-5845	724	18	khan	khan	PROPN
ejpam-5845	724	19	,	,	PUNCT
ejpam-5845	724	20	and	and	CCONJ
ejpam-5845	724	21	o.	o.	PROPN
ejpam-5845	724	22	thinnukool	thinnukool	PROPN
ejpam-5845	724	23	.	.	PUNCT
ejpam-5845	725	1	some	some	DET
ejpam-5845	725	2	results	result	NOUN
ejpam-5845	725	3	in	in	ADP
ejpam-5845	725	4	neutrosophic	neutrosophic	ADJ
ejpam-5845	725	5	soft	soft	ADJ
ejpam-5845	725	6	topology	topology	NOUN
ejpam-5845	725	7	concerning	concern	VERB
ejpam-5845	725	8	soft	soft	ADJ
ejpam-5845	725	9	∗b	∗b	NOUN
ejpam-5845	725	10	open	open	ADJ
ejpam-5845	725	11	sets	set	NOUN
ejpam-5845	725	12	.	.	PUNCT
ejpam-5845	726	1	journal	journal	NOUN
ejpam-5845	726	2	of	of	ADP
ejpam-5845	726	3	function	function	NOUN
ejpam-5845	726	4	spaces	space	NOUN
ejpam-5845	726	5	,	,	PUNCT
ejpam-5845	726	6	2021:5544319	2021:5544319	NUM
ejpam-5845	726	7	,	,	PUNCT
ejpam-5845	726	8	2021	2021	NUM
ejpam-5845	726	9	.	.	PUNCT
ejpam-5845	727	1	[	[	X
ejpam-5845	727	2	13	13	NUM
ejpam-5845	727	3	]	]	PUNCT
ejpam-5845	727	4	a.	a.	PROPN
ejpam-5845	727	5	b.	b.	PROPN
ejpam-5845	727	6	al	al	PROPN
ejpam-5845	727	7	-	-	PUNCT
ejpam-5845	727	8	nafee	nafee	NOUN
ejpam-5845	727	9	.	.	PUNCT
ejpam-5845	728	1	new	new	ADJ
ejpam-5845	728	2	family	family	NOUN
ejpam-5845	728	3	of	of	ADP
ejpam-5845	728	4	neutrosophic	neutrosophic	ADJ
ejpam-5845	728	5	soft	soft	ADJ
ejpam-5845	728	6	sets	set	NOUN
ejpam-5845	728	7	.	.	PUNCT
ejpam-5845	729	1	neutrosophic	neutrosophic	ADJ
ejpam-5845	729	2	sets	set	NOUN
ejpam-5845	729	3	and	and	CCONJ
ejpam-5845	729	4	systems	system	NOUN
ejpam-5845	729	5	,	,	PUNCT
ejpam-5845	729	6	38:482–496	38:482–496	PROPN
ejpam-5845	729	7	,	,	PUNCT
ejpam-5845	729	8	2020	2020	NUM
ejpam-5845	729	9	.	.	PUNCT
ejpam-5845	730	1	[	[	X
ejpam-5845	730	2	14	14	NUM
ejpam-5845	730	3	]	]	PUNCT
ejpam-5845	730	4	a.	a.	PROPN
ejpam-5845	730	5	b.	b.	PROPN
ejpam-5845	730	6	al	al	PROPN
ejpam-5845	730	7	-	-	PUNCT
ejpam-5845	730	8	nafee	nafee	PROPN
ejpam-5845	730	9	,	,	PUNCT
ejpam-5845	730	10	s.	s.	PROPN
ejpam-5845	730	11	broumi	broumi	PROPN
ejpam-5845	730	12	,	,	PUNCT
ejpam-5845	730	13	and	and	CCONJ
ejpam-5845	730	14	f.	f.	PROPN
ejpam-5845	730	15	smarandache	smarandache	PROPN
ejpam-5845	730	16	.	.	PUNCT
ejpam-5845	731	1	neutrosophic	neutrosophic	ADJ
ejpam-5845	731	2	soft	soft	ADJ
ejpam-5845	731	3	bitopological	bitopological	ADJ
ejpam-5845	731	4	spaces	space	NOUN
ejpam-5845	731	5	.	.	PUNCT
ejpam-5845	732	1	international	international	ADJ
ejpam-5845	732	2	journal	journal	PROPN
ejpam-5845	732	3	of	of	ADP
ejpam-5845	732	4	neutrosophic	neutrosophic	ADJ
ejpam-5845	732	5	science	science	NOUN
ejpam-5845	732	6	,	,	PUNCT
ejpam-5845	732	7	14(1):47–56	14(1):47–56	NUM
ejpam-5845	732	8	,	,	PUNCT
ejpam-5845	732	9	2021	2021	NUM
ejpam-5845	732	10	.	.	PUNCT
ejpam-5845	733	1	[	[	X
ejpam-5845	733	2	15	15	NUM
ejpam-5845	733	3	]	]	X
ejpam-5845	733	4	h.	h.	PROPN
ejpam-5845	733	5	dadas	dadas	PROPN
ejpam-5845	733	6	and	and	CCONJ
ejpam-5845	733	7	s.	s.	PROPN
ejpam-5845	733	8	demiralp	demiralp	PROPN
ejpam-5845	733	9	.	.	PUNCT
ejpam-5845	734	1	introduction	introduction	NOUN
ejpam-5845	734	2	to	to	ADP
ejpam-5845	734	3	neutrosophic	neutrosophic	ADJ
ejpam-5845	734	4	soft	soft	ADJ
ejpam-5845	734	5	bitopological	bitopological	ADJ
ejpam-5845	734	6	spaces	space	NOUN
ejpam-5845	734	7	.	.	PUNCT
ejpam-5845	735	1	international	international	ADJ
ejpam-5845	735	2	journal	journal	PROPN
ejpam-5845	735	3	of	of	ADP
ejpam-5845	735	4	neutrosophic	neutrosophic	ADJ
ejpam-5845	735	5	science	science	NOUN
ejpam-5845	735	6	,	,	PUNCT
ejpam-5845	735	7	14(2):78–81	14(2):78–81	NUM
ejpam-5845	735	8	,	,	PUNCT
ejpam-5845	735	9	2021	2021	NUM
ejpam-5845	735	10	.	.	PUNCT
ejpam-5845	736	1	[	[	X
ejpam-5845	736	2	16	16	NUM
ejpam-5845	736	3	]	]	X
ejpam-5845	736	4	f.	f.	PROPN
ejpam-5845	736	5	smarandache	smarandache	PROPN
ejpam-5845	736	6	.	.	PUNCT
ejpam-5845	737	1	neutrosophic	neutrosophic	PROPN
ejpam-5845	737	2	set	set	PROPN
ejpam-5845	737	3	:	:	PUNCT
ejpam-5845	737	4	a	a	DET
ejpam-5845	737	5	generalization	generalization	NOUN
ejpam-5845	737	6	of	of	ADP
ejpam-5845	737	7	the	the	DET
ejpam-5845	737	8	intuitionistic	intuitionistic	ADJ
ejpam-5845	737	9	fuzzy	fuzzy	ADJ
ejpam-5845	737	10	sets	set	NOUN
ejpam-5845	737	11	.	.	PUNCT
ejpam-5845	738	1	international	international	ADJ
ejpam-5845	738	2	journal	journal	NOUN
ejpam-5845	738	3	of	of	ADP
ejpam-5845	738	4	pure	pure	ADJ
ejpam-5845	738	5	and	and	CCONJ
ejpam-5845	738	6	applied	applied	ADJ
ejpam-5845	738	7	mathematics	mathematic	NOUN
ejpam-5845	738	8	,	,	PUNCT
ejpam-5845	738	9	24(3):287–297	24(3):287–297	PROPN
ejpam-5845	738	10	,	,	PUNCT
ejpam-5845	738	11	2005	2005	NUM
ejpam-5845	738	12	.	.	PUNCT
ejpam-5845	739	1	[	[	X
ejpam-5845	739	2	17	17	NUM
ejpam-5845	739	3	]	]	X
ejpam-5845	739	4	l.	l.	PROPN
ejpam-5845	739	5	d.	d.	PROPN
ejpam-5845	739	6	r.	r.	PROPN
ejpam-5845	739	7	kocinac	kocinac	PROPN
ejpam-5845	739	8	,	,	PUNCT
ejpam-5845	739	9	t.	t.	PROPN
ejpam-5845	739	10	m.	m.	PROPN
ejpam-5845	739	11	al	al	PROPN
ejpam-5845	739	12	-	-	PUNCT
ejpam-5845	739	13	shami	shami	PROPN
ejpam-5845	739	14	,	,	PUNCT
ejpam-5845	739	15	and	and	CCONJ
ejpam-5845	739	16	v.	v.	ADP
ejpam-5845	739	17	çetkin	çetkin	PROPN
ejpam-5845	739	18	.	.	PUNCT
ejpam-5845	739	19	selection	selection	NOUN
ejpam-5845	739	20	principles	principle	NOUN
ejpam-5845	739	21	in	in	ADP
ejpam-5845	739	22	the	the	DET
ejpam-5845	739	23	context	context	NOUN
ejpam-5845	739	24	of	of	ADP
ejpam-5845	739	25	soft	soft	ADJ
ejpam-5845	739	26	sets	set	NOUN
ejpam-5845	739	27	:	:	PUNCT
ejpam-5845	739	28	menger	menger	PROPN
ejpam-5845	739	29	spaces	space	VERB
ejpam-5845	739	30	.	.	PUNCT
ejpam-5845	740	1	soft	soft	ADJ
ejpam-5845	740	2	computing	computing	NOUN
ejpam-5845	740	3	,	,	PUNCT
ejpam-5845	740	4	25(20):12665–12677	25(20):12665–12677	NUM
ejpam-5845	740	5	,	,	PUNCT
ejpam-5845	740	6	2021	2021	NUM
ejpam-5845	740	7	.	.	PUNCT
ejpam-5845	741	1	[	[	X
ejpam-5845	741	2	18	18	NUM
ejpam-5845	741	3	]	]	PUNCT
ejpam-5845	741	4	t.	t.	PROPN
ejpam-5845	741	5	m.	m.	PROPN
ejpam-5845	741	6	al	al	PROPN
ejpam-5845	741	7	-	-	PUNCT
ejpam-5845	741	8	shami	shami	PROPN
ejpam-5845	741	9	and	and	CCONJ
ejpam-5845	741	10	l.	l.	PROPN
ejpam-5845	741	11	d.	d.	PROPN
ejpam-5845	741	12	r.	r.	PROPN
ejpam-5845	741	13	kocinac	kocinac	PROPN
ejpam-5845	741	14	.	.	PUNCT
ejpam-5845	742	1	nearly	nearly	ADV
ejpam-5845	742	2	soft	soft	ADJ
ejpam-5845	742	3	menger	menger	NOUN
ejpam-5845	742	4	spaces	space	NOUN
ejpam-5845	742	5	.	.	PUNCT
ejpam-5845	743	1	journal	journal	NOUN
ejpam-5845	743	2	of	of	ADP
ejpam-5845	743	3	mathematics	mathematic	NOUN
ejpam-5845	743	4	,	,	PUNCT
ejpam-5845	743	5	2020:3807418	2020:3807418	NUM
ejpam-5845	743	6	,	,	PUNCT
ejpam-5845	743	7	2020	2020	NUM
ejpam-5845	743	8	.	.	PUNCT
ejpam-5845	744	1	m.	m.	NOUN
ejpam-5845	744	2	m.	m.	PROPN
ejpam-5845	744	3	saeed	saeed	PROPN
ejpam-5845	744	4	et	et	PROPN
ejpam-5845	744	5	al	al	PROPN
ejpam-5845	744	6	.	.	PUNCT
ejpam-5845	744	7	/	/	SYM
ejpam-5845	744	8	eur	eur	PROPN
ejpam-5845	744	9	.	.	PUNCT
ejpam-5845	745	1	j.	j.	PROPN
ejpam-5845	745	2	pure	pure	PROPN
ejpam-5845	745	3	appl	appl	PROPN
ejpam-5845	745	4	.	.	PROPN
ejpam-5845	745	5	math	math	PROPN
ejpam-5845	745	6	,	,	PUNCT
ejpam-5845	745	7	18	18	NUM
ejpam-5845	745	8	(	(	PUNCT
ejpam-5845	745	9	2	2	NUM
ejpam-5845	745	10	)	)	PUNCT
ejpam-5845	745	11	(	(	PUNCT
ejpam-5845	745	12	2025	2025	NUM
ejpam-5845	745	13	)	)	PUNCT
ejpam-5845	745	14	,	,	PUNCT
ejpam-5845	745	15	5845	5845	NUM
ejpam-5845	745	16	31	31	NUM
ejpam-5845	745	17	of	of	ADP
ejpam-5845	745	18	32	32	NUM
ejpam-5845	745	19	[	[	SYM
ejpam-5845	745	20	19	19	NUM
ejpam-5845	745	21	]	]	X
ejpam-5845	745	22	t.	t.	PROPN
ejpam-5845	745	23	m.	m.	PROPN
ejpam-5845	745	24	al	al	PROPN
ejpam-5845	745	25	-	-	PUNCT
ejpam-5845	745	26	shami	shami	PROPN
ejpam-5845	745	27	.	.	PUNCT
ejpam-5845	746	1	infra	infra	NOUN
ejpam-5845	746	2	soft	soft	ADJ
ejpam-5845	746	3	topological	topological	ADJ
ejpam-5845	746	4	spaces	space	NOUN
ejpam-5845	746	5	.	.	PUNCT
ejpam-5845	747	1	mathematical	mathematical	ADJ
ejpam-5845	747	2	problems	problem	NOUN
ejpam-5845	747	3	in	in	ADP
ejpam-5845	747	4	engineering	engineering	NOUN
ejpam-5845	747	5	,	,	PUNCT
ejpam-5845	747	6	2021:3361604	2021:3361604	NUM
ejpam-5845	747	7	,	,	PUNCT
ejpam-5845	747	8	2021	2021	NUM
ejpam-5845	747	9	.	.	PUNCT
ejpam-5845	748	1	[	[	X
ejpam-5845	748	2	20	20	NUM
ejpam-5845	748	3	]	]	PUNCT
ejpam-5845	748	4	t.	t.	PROPN
ejpam-5845	748	5	m.	m.	PROPN
ejpam-5845	748	6	al	al	PROPN
ejpam-5845	748	7	-	-	PUNCT
ejpam-5845	748	8	shami	shami	PROPN
ejpam-5845	748	9	,	,	PUNCT
ejpam-5845	748	10	e.	e.	PROPN
ejpam-5845	748	11	a.	a.	PROPN
ejpam-5845	748	12	abo	abo	PROPN
ejpam-5845	748	13	-	-	PUNCT
ejpam-5845	748	14	tabl	tabl	NOUN
ejpam-5845	748	15	,	,	PUNCT
ejpam-5845	748	16	and	and	CCONJ
ejpam-5845	748	17	b.	b.	PROPN
ejpam-5845	748	18	a.	a.	PROPN
ejpam-5845	748	19	asaad	asaad	PROPN
ejpam-5845	748	20	.	.	PUNCT
ejpam-5845	749	1	weak	weak	ADJ
ejpam-5845	749	2	forms	form	NOUN
ejpam-5845	749	3	of	of	ADP
ejpam-5845	749	4	soft	soft	ADJ
ejpam-5845	749	5	separation	separation	NOUN
ejpam-5845	749	6	axioms	axiom	NOUN
ejpam-5845	749	7	and	and	CCONJ
ejpam-5845	749	8	fixed	fix	VERB
ejpam-5845	749	9	soft	soft	ADJ
ejpam-5845	749	10	points	point	NOUN
ejpam-5845	749	11	.	.	PUNCT
ejpam-5845	750	1	fuzzy	fuzzy	ADJ
ejpam-5845	750	2	information	information	NOUN
ejpam-5845	750	3	and	and	CCONJ
ejpam-5845	750	4	engineering	engineering	NOUN
ejpam-5845	750	5	,	,	PUNCT
ejpam-5845	750	6	12(4):509–528	12(4):509–528	NUM
ejpam-5845	750	7	,	,	PUNCT
ejpam-5845	750	8	2020	2020	NUM
ejpam-5845	750	9	.	.	PUNCT
ejpam-5845	751	1	[	[	X
ejpam-5845	751	2	21	21	NUM
ejpam-5845	751	3	]	]	X
ejpam-5845	751	4	t.	t.	PROPN
ejpam-5845	751	5	m.	m.	PROPN
ejpam-5845	751	6	al	al	PROPN
ejpam-5845	751	7	-	-	PUNCT
ejpam-5845	751	8	shami	shami	PROPN
ejpam-5845	751	9	and	and	CCONJ
ejpam-5845	751	10	e.-s	e.-	NOUN
ejpam-5845	751	11	.	.	PUNCT
ejpam-5845	751	12	a.	a.	NOUN
ejpam-5845	751	13	a.	a.	NOUN
ejpam-5845	751	14	tabi	tabi	PROPN
ejpam-5845	751	15	.	.	PUNCT
ejpam-5845	752	1	connectedness	connectedness	NOUN
ejpam-5845	752	2	and	and	CCONJ
ejpam-5845	752	3	local	local	ADJ
ejpam-5845	752	4	connectedness	connectedness	NOUN
ejpam-5845	752	5	on	on	ADP
ejpam-5845	752	6	infra	infra	NOUN
ejpam-5845	752	7	soft	soft	ADJ
ejpam-5845	752	8	topological	topological	ADJ
ejpam-5845	752	9	spaces	space	NOUN
ejpam-5845	752	10	.	.	PUNCT
ejpam-5845	753	1	mathematics	mathematic	NOUN
ejpam-5845	753	2	,	,	PUNCT
ejpam-5845	753	3	9(15):1759	9(15):1759	NUM
ejpam-5845	753	4	,	,	PUNCT
ejpam-5845	753	5	2021	2021	NUM
ejpam-5845	753	6	.	.	PUNCT
ejpam-5845	754	1	[	[	X
ejpam-5845	754	2	22	22	NUM
ejpam-5845	754	3	]	]	PUNCT
ejpam-5845	754	4	t.	t.	PROPN
ejpam-5845	754	5	m.	m.	PROPN
ejpam-5845	754	6	al	al	PROPN
ejpam-5845	754	7	-	-	PUNCT
ejpam-5845	754	8	shami	shami	PROPN
ejpam-5845	754	9	.	.	PUNCT
ejpam-5845	755	1	homeomorphism	homeomorphism	PROPN
ejpam-5845	755	2	and	and	CCONJ
ejpam-5845	755	3	quotient	quotient	NOUN
ejpam-5845	755	4	mappings	mapping	NOUN
ejpam-5845	755	5	in	in	ADP
ejpam-5845	755	6	infra	infra	NOUN
ejpam-5845	755	7	soft	soft	ADJ
ejpam-5845	755	8	topological	topological	ADJ
ejpam-5845	755	9	spaces	space	NOUN
ejpam-5845	755	10	.	.	PUNCT
ejpam-5845	756	1	journal	journal	NOUN
ejpam-5845	756	2	of	of	ADP
ejpam-5845	756	3	mathematics	mathematic	NOUN
ejpam-5845	756	4	,	,	PUNCT
ejpam-5845	756	5	2021:3388288	2021:3388288	NOUN
ejpam-5845	756	6	,	,	PUNCT
ejpam-5845	756	7	2021	2021	NUM
ejpam-5845	756	8	.	.	PUNCT
ejpam-5845	757	1	[	[	X
ejpam-5845	757	2	23	23	NUM
ejpam-5845	757	3	]	]	PUNCT
ejpam-5845	757	4	t.	t.	PROPN
ejpam-5845	757	5	m.	m.	PROPN
ejpam-5845	757	6	al	al	PROPN
ejpam-5845	757	7	-	-	PUNCT
ejpam-5845	757	8	shami	shami	PROPN
ejpam-5845	757	9	.	.	PUNCT
ejpam-5845	758	1	infra	infra	NOUN
ejpam-5845	758	2	soft	soft	ADJ
ejpam-5845	758	3	compact	compact	ADJ
ejpam-5845	758	4	spaces	space	NOUN
ejpam-5845	758	5	and	and	CCONJ
ejpam-5845	758	6	application	application	NOUN
ejpam-5845	758	7	to	to	ADP
ejpam-5845	758	8	fixed	fix	VERB
ejpam-5845	758	9	point	point	NOUN
ejpam-5845	758	10	theorem	theorem	VERB
ejpam-5845	758	11	.	.	PROPN
ejpam-5845	758	12	journal	journal	PROPN
ejpam-5845	758	13	of	of	ADP
ejpam-5845	758	14	function	function	NOUN
ejpam-5845	758	15	spaces	space	NOUN
ejpam-5845	758	16	,	,	PUNCT
ejpam-5845	758	17	2021:3417096	2021:3417096	NUM
ejpam-5845	758	18	,	,	PUNCT
ejpam-5845	758	19	2021	2021	NUM
ejpam-5845	758	20	.	.	PUNCT
ejpam-5845	759	1	[	[	X
ejpam-5845	759	2	24	24	NUM
ejpam-5845	759	3	]	]	PUNCT
ejpam-5845	759	4	b.	b.	PROPN
ejpam-5845	759	5	a.	a.	PROPN
ejpam-5845	759	6	asaad	asaad	PROPN
ejpam-5845	759	7	,	,	PUNCT
ejpam-5845	759	8	t.	t.	PROPN
ejpam-5845	759	9	m.	m.	PROPN
ejpam-5845	759	10	al	al	PROPN
ejpam-5845	759	11	-	-	PUNCT
ejpam-5845	759	12	shami	shami	PROPN
ejpam-5845	759	13	,	,	PUNCT
ejpam-5845	759	14	and	and	CCONJ
ejpam-5845	759	15	a.	a.	NOUN
ejpam-5845	759	16	mhemdi	mhemdi	PROPN
ejpam-5845	759	17	.	.	PUNCT
ejpam-5845	760	1	bi	bi	NOUN
ejpam-5845	760	2	-	-	NOUN
ejpam-5845	760	3	operators	operator	NOUN
ejpam-5845	760	4	on	on	ADP
ejpam-5845	760	5	soft	soft	ADJ
ejpam-5845	760	6	topological	topological	ADJ
ejpam-5845	760	7	spaces	space	NOUN
ejpam-5845	760	8	.	.	PUNCT
ejpam-5845	761	1	aims	aim	VERB
ejpam-5845	761	2	mathematics	mathematic	NOUN
ejpam-5845	761	3	,	,	PUNCT
ejpam-5845	761	4	6(11):12471–12490	6(11):12471–12490	NUM
ejpam-5845	761	5	,	,	PUNCT
ejpam-5845	761	6	2021	2021	NUM
ejpam-5845	761	7	.	.	PUNCT
ejpam-5845	762	1	[	[	X
ejpam-5845	762	2	25	25	NUM
ejpam-5845	762	3	]	]	X
ejpam-5845	762	4	g.	g.	PROPN
ejpam-5845	762	5	ali	ali	PROPN
ejpam-5845	762	6	,	,	PUNCT
ejpam-5845	762	7	h.	h.	PROPN
ejpam-5845	762	8	alolaiyan	alolaiyan	PROPN
ejpam-5845	762	9	,	,	PUNCT
ejpam-5845	762	10	d.	d.	PROPN
ejpam-5845	762	11	pamucar	pamucar	PROPN
ejpam-5845	762	12	,	,	PUNCT
ejpam-5845	762	13	m.	m.	NOUN
ejpam-5845	762	14	asif	asif	NOUN
ejpam-5845	762	15	,	,	PUNCT
ejpam-5845	762	16	and	and	CCONJ
ejpam-5845	762	17	n.	n.	PROPN
ejpam-5845	762	18	lateef	lateef	PROPN
ejpam-5845	762	19	.	.	PUNCT
ejpam-5845	763	1	a	a	DET
ejpam-5845	763	2	novel	novel	ADJ
ejpam-5845	763	3	madm	madm	NOUN
ejpam-5845	763	4	framework	framework	NOUN
ejpam-5845	763	5	under	under	ADP
ejpam-5845	763	6	q	q	ADJ
ejpam-5845	763	7	-	-	PUNCT
ejpam-5845	763	8	rung	rung	ADJ
ejpam-5845	763	9	orthopair	orthopair	ADJ
ejpam-5845	763	10	fuzzy	fuzzy	ADJ
ejpam-5845	763	11	bipolar	bipolar	ADJ
ejpam-5845	763	12	soft	soft	ADJ
ejpam-5845	763	13	sets	set	NOUN
ejpam-5845	763	14	.	.	PUNCT
ejpam-5845	764	1	mathematics	mathematic	NOUN
ejpam-5845	764	2	,	,	PUNCT
ejpam-5845	764	3	9(17):2169	9(17):2169	NOUN
ejpam-5845	764	4	,	,	PUNCT
ejpam-5845	764	5	2021	2021	NUM
ejpam-5845	764	6	.	.	PUNCT
ejpam-5845	765	1	[	[	X
ejpam-5845	765	2	26	26	NUM
ejpam-5845	765	3	]	]	X
ejpam-5845	765	4	g.	g.	PROPN
ejpam-5845	765	5	ali	ali	PROPN
ejpam-5845	765	6	,	,	PUNCT
ejpam-5845	765	7	g.	g.	PROPN
ejpam-5845	765	8	muhiuddin	muhiuddin	PROPN
ejpam-5845	765	9	,	,	PUNCT
ejpam-5845	765	10	a.	a.	PROPN
ejpam-5845	765	11	adeel	adeel	PROPN
ejpam-5845	765	12	,	,	PUNCT
ejpam-5845	765	13	and	and	CCONJ
ejpam-5845	766	1	m.	m.	NOUN
ejpam-5845	766	2	z.	z.	PROPN
ejpam-5845	766	3	u.	u.	PROPN
ejpam-5845	766	4	abidin	abidin	PROPN
ejpam-5845	766	5	.	.	PUNCT
ejpam-5845	767	1	ranking	rank	VERB
ejpam-5845	767	2	effectiveness	effectiveness	NOUN
ejpam-5845	767	3	of	of	ADP
ejpam-5845	767	4	covid19	covid19	NOUN
ejpam-5845	767	5	tests	test	NOUN
ejpam-5845	767	6	using	use	VERB
ejpam-5845	767	7	fuzzy	fuzzy	ADJ
ejpam-5845	767	8	bipolar	bipolar	ADJ
ejpam-5845	767	9	soft	soft	ADJ
ejpam-5845	767	10	expert	expert	NOUN
ejpam-5845	767	11	sets	set	NOUN
ejpam-5845	767	12	.	.	PUNCT
ejpam-5845	768	1	mathematical	mathematical	ADJ
ejpam-5845	768	2	problems	problem	NOUN
ejpam-5845	768	3	in	in	ADP
ejpam-5845	768	4	engineering	engineering	NOUN
ejpam-5845	768	5	,	,	PUNCT
ejpam-5845	768	6	2021:5874216	2021:5874216	NUM
ejpam-5845	768	7	,	,	PUNCT
ejpam-5845	768	8	2021	2021	NUM
ejpam-5845	768	9	.	.	PUNCT
ejpam-5845	769	1	[	[	X
ejpam-5845	769	2	27	27	NUM
ejpam-5845	769	3	]	]	PUNCT
ejpam-5845	769	4	s.	s.	PROPN
ejpam-5845	769	5	j.	j.	PROPN
ejpam-5845	769	6	john	john	PROPN
ejpam-5845	769	7	.	.	PROPN
ejpam-5845	769	8	soft	soft	ADJ
ejpam-5845	769	9	sets	set	NOUN
ejpam-5845	769	10	.	.	PUNCT
ejpam-5845	770	1	in	in	ADP
ejpam-5845	770	2	soft	soft	ADJ
ejpam-5845	770	3	sets	set	NOUN
ejpam-5845	770	4	,	,	PUNCT
ejpam-5845	770	5	volume	volume	NOUN
ejpam-5845	770	6	400	400	NUM
ejpam-5845	770	7	of	of	ADP
ejpam-5845	770	8	studies	study	NOUN
ejpam-5845	770	9	in	in	ADP
ejpam-5845	770	10	fuzziness	fuzziness	NOUN
ejpam-5845	770	11	and	and	CCONJ
ejpam-5845	770	12	soft	soft	ADJ
ejpam-5845	770	13	computing	computing	NOUN
ejpam-5845	770	14	.	.	PUNCT
ejpam-5845	771	1	springer	springer	NOUN
ejpam-5845	771	2	,	,	PUNCT
ejpam-5845	771	3	cham	cham	NOUN
ejpam-5845	771	4	,	,	PUNCT
ejpam-5845	771	5	2021	2021	NUM
ejpam-5845	771	6	.	.	PUNCT
ejpam-5845	772	1	[	[	X
ejpam-5845	772	2	28	28	NUM
ejpam-5845	772	3	]	]	X
ejpam-5845	772	4	s.	s.	PROPN
ejpam-5845	772	5	kim	kim	PROPN
ejpam-5845	772	6	and	and	CCONJ
ejpam-5845	772	7	j.	j.	PROPN
ejpam-5845	772	8	park	park	PROPN
ejpam-5845	772	9	.	.	PUNCT
ejpam-5845	773	1	secure	secure	VERB
ejpam-5845	773	2	multi	multi	ADJ
ejpam-5845	773	3	-	-	ADJ
ejpam-5845	773	4	party	party	ADJ
ejpam-5845	773	5	clustering	clustering	ADJ
ejpam-5845	773	6	protocols	protocol	NOUN
ejpam-5845	773	7	.	.	PUNCT
ejpam-5845	774	1	in	in	ADP
ejpam-5845	774	2	conference	conference	NOUN
ejpam-5845	774	3	on	on	ADP
ejpam-5845	774	4	data	datum	NOUN
ejpam-5845	774	5	protection	protection	NOUN
ejpam-5845	774	6	and	and	CCONJ
ejpam-5845	774	7	privacy	privacy	NOUN
ejpam-5845	774	8	,	,	PUNCT
ejpam-5845	774	9	pages	page	NOUN
ejpam-5845	774	10	78–92	78–92	NUM
ejpam-5845	774	11	,	,	PUNCT
ejpam-5845	774	12	2017	2017	NUM
ejpam-5845	774	13	.	.	PUNCT
ejpam-5845	775	1	[	[	X
ejpam-5845	775	2	29	29	NUM
ejpam-5845	775	3	]	]	X
ejpam-5845	775	4	i.	i.	PROPN
ejpam-5845	775	5	kandasamy	kandasamy	PROPN
ejpam-5845	775	6	.	.	PUNCT
ejpam-5845	776	1	double	double	ADJ
ejpam-5845	776	2	-	-	PUNCT
ejpam-5845	776	3	valued	value	VERB
ejpam-5845	776	4	neutrosophic	neutrosophic	ADJ
ejpam-5845	776	5	sets	set	NOUN
ejpam-5845	776	6	,	,	PUNCT
ejpam-5845	776	7	their	their	PRON
ejpam-5845	776	8	minimum	minimum	ADJ
ejpam-5845	776	9	spanning	span	VERB
ejpam-5845	776	10	trees	tree	NOUN
ejpam-5845	776	11	,	,	PUNCT
ejpam-5845	776	12	and	and	CCONJ
ejpam-5845	776	13	clustering	cluster	VERB
ejpam-5845	776	14	algorithm	algorithm	NOUN
ejpam-5845	776	15	.	.	PUNCT
ejpam-5845	777	1	journal	journal	NOUN
ejpam-5845	777	2	of	of	ADP
ejpam-5845	777	3	intelligent	intelligent	ADJ
ejpam-5845	777	4	systems	system	NOUN
ejpam-5845	777	5	,	,	PUNCT
ejpam-5845	777	6	27(2):163–182	27(2):163–182	PROPN
ejpam-5845	777	7	,	,	PUNCT
ejpam-5845	777	8	2018	2018	NUM
ejpam-5845	777	9	.	.	PUNCT
ejpam-5845	778	1	[	[	X
ejpam-5845	778	2	30	30	NUM
ejpam-5845	778	3	]	]	X
ejpam-5845	778	4	a.	a.	NOUN
ejpam-5845	778	5	mehmood	mehmood	PROPN
ejpam-5845	778	6	,	,	PUNCT
ejpam-5845	778	7	s.	s.	PROPN
ejpam-5845	778	8	a.	a.	PROPN
ejpam-5845	778	9	ghour	ghour	PROPN
ejpam-5845	778	10	,	,	PUNCT
ejpam-5845	778	11	m.	m.	NOUN
ejpam-5845	778	12	ishfaq	ishfaq	NOUN
ejpam-5845	778	13	,	,	PUNCT
ejpam-5845	778	14	and	and	CCONJ
ejpam-5845	778	15	f.	f.	PROPN
ejpam-5845	778	16	afzal	afzal	PROPN
ejpam-5845	778	17	.	.	PUNCT
ejpam-5845	779	1	a	a	DET
ejpam-5845	779	2	look	look	NOUN
ejpam-5845	779	3	at	at	ADP
ejpam-5845	779	4	soft	soft	ADJ
ejpam-5845	779	5	neutrosophic	neutrosophic	ADJ
ejpam-5845	779	6	spaces	space	NOUN
ejpam-5845	779	7	.	.	PUNCT
ejpam-5845	780	1	journal	journal	NOUN
ejpam-5845	780	2	of	of	ADP
ejpam-5845	780	3	intelligent	intelligent	ADJ
ejpam-5845	780	4	and	and	CCONJ
ejpam-5845	780	5	fuzzy	fuzzy	ADJ
ejpam-5845	780	6	systems	system	NOUN
ejpam-5845	780	7	,	,	PUNCT
ejpam-5845	780	8	40(4):6473–6494	40(4):6473–6494	NUM
ejpam-5845	780	9	,	,	PUNCT
ejpam-5845	780	10	2021	2021	NUM
ejpam-5845	780	11	.	.	PUNCT
ejpam-5845	781	1	[	[	X
ejpam-5845	781	2	31	31	NUM
ejpam-5845	781	3	]	]	PUNCT
ejpam-5845	781	4	a.	a.	NOUN
ejpam-5845	781	5	mehmood	mehmood	PROPN
ejpam-5845	781	6	,	,	PUNCT
ejpam-5845	781	7	s.	s.	PROPN
ejpam-5845	781	8	a.	a.	PROPN
ejpam-5845	781	9	ghour	ghour	PROPN
ejpam-5845	781	10	,	,	PUNCT
ejpam-5845	781	11	s.	s.	PROPN
ejpam-5845	781	12	abdullah	abdullah	PROPN
ejpam-5845	781	13	,	,	PUNCT
ejpam-5845	781	14	c.	c.	PROPN
ejpam-5845	781	15	park	park	PROPN
ejpam-5845	781	16	,	,	PUNCT
ejpam-5845	781	17	and	and	CCONJ
ejpam-5845	781	18	r.	r.	PROPN
ejpam-5845	781	19	l.	l.	PROPN
ejpam-5845	781	20	jung	jung	PROPN
ejpam-5845	781	21	.	.	PUNCT
ejpam-5845	782	1	a	a	DET
ejpam-5845	782	2	new	new	ADJ
ejpam-5845	782	3	approach	approach	NOUN
ejpam-5845	782	4	to	to	ADP
ejpam-5845	782	5	vague	vague	VERB
ejpam-5845	782	6	soft	soft	ADJ
ejpam-5845	782	7	topological	topological	ADJ
ejpam-5845	782	8	structures	structure	NOUN
ejpam-5845	782	9	concerning	concern	VERB
ejpam-5845	782	10	soft	soft	ADJ
ejpam-5845	782	11	points	point	NOUN
ejpam-5845	782	12	.	.	PUNCT
ejpam-5845	783	1	journal	journal	NOUN
ejpam-5845	783	2	of	of	ADP
ejpam-5845	783	3	intelligent	intelligent	ADJ
ejpam-5845	783	4	and	and	CCONJ
ejpam-5845	783	5	fuzzy	fuzzy	ADJ
ejpam-5845	783	6	systems	system	NOUN
ejpam-5845	783	7	,	,	PUNCT
ejpam-5845	783	8	42(3):1483–1499	42(3):1483–1499	NUM
ejpam-5845	783	9	,	,	PUNCT
ejpam-5845	783	10	2022	2022	NUM
ejpam-5845	783	11	.	.	PUNCT
ejpam-5845	784	1	[	[	X
ejpam-5845	784	2	32	32	NUM
ejpam-5845	784	3	]	]	PUNCT
ejpam-5845	784	4	a.	a.	NOUN
ejpam-5845	784	5	mehmood	mehmood	PROPN
ejpam-5845	784	6	,	,	PUNCT
ejpam-5845	784	7	s.	s.	PROPN
ejpam-5845	784	8	abdullah	abdullah	PROPN
ejpam-5845	784	9	,	,	PUNCT
ejpam-5845	784	10	and	and	CCONJ
ejpam-5845	784	11	c.	c.	PROPN
ejpam-5845	784	12	park	park	PROPN
ejpam-5845	784	13	.	.	PUNCT
ejpam-5845	785	1	a	a	DET
ejpam-5845	785	2	new	new	ADJ
ejpam-5845	785	3	approach	approach	NOUN
ejpam-5845	785	4	to	to	ADP
ejpam-5845	785	5	vague	vague	VERB
ejpam-5845	785	6	soft	soft	ADJ
ejpam-5845	785	7	bi	bi	ADJ
ejpam-5845	785	8	-	-	ADJ
ejpam-5845	785	9	topological	topological	ADJ
ejpam-5845	785	10	spaces	space	NOUN
ejpam-5845	785	11	.	.	PUNCT
ejpam-5845	786	1	computer	computer	NOUN
ejpam-5845	786	2	modeling	modeling	NOUN
ejpam-5845	786	3	in	in	ADP
ejpam-5845	786	4	engineering	engineering	NOUN
ejpam-5845	786	5	and	and	CCONJ
ejpam-5845	786	6	sciences	science	NOUN
ejpam-5845	786	7	,	,	PUNCT
ejpam-5845	786	8	131(1):411–428	131(1):411–428	NUM
ejpam-5845	786	9	,	,	PUNCT
ejpam-5845	786	10	2022	2022	NUM
ejpam-5845	786	11	.	.	PUNCT
ejpam-5845	787	1	[	[	X
ejpam-5845	787	2	33	33	NUM
ejpam-5845	787	3	]	]	PUNCT
ejpam-5845	787	4	a.	a.	NOUN
ejpam-5845	787	5	mehmood	mehmood	PROPN
ejpam-5845	787	6	,	,	PUNCT
ejpam-5845	787	7	f.	f.	PROPN
ejpam-5845	787	8	afzal	afzal	PROPN
ejpam-5845	787	9	,	,	PUNCT
ejpam-5845	787	10	s.	s.	PROPN
ejpam-5845	787	11	abdullah	abdullah	PROPN
ejpam-5845	787	12	,	,	PUNCT
ejpam-5845	787	13	m.	m.	PROPN
ejpam-5845	787	14	i.	i.	PROPN
ejpam-5845	787	15	khan	khan	PROPN
ejpam-5845	787	16	,	,	PUNCT
ejpam-5845	787	17	and	and	CCONJ
ejpam-5845	787	18	s.	s.	PROPN
ejpam-5845	787	19	gul	gul	PROPN
ejpam-5845	787	20	.	.	PUNCT
ejpam-5845	788	1	an	an	DET
ejpam-5845	788	2	absolutely	absolutely	ADV
ejpam-5845	788	3	new	new	ADJ
ejpam-5845	788	4	attempt	attempt	NOUN
ejpam-5845	788	5	to	to	PART
ejpam-5845	788	6	vague	vague	VERB
ejpam-5845	788	7	soft	soft	ADJ
ejpam-5845	788	8	bitopological	bitopological	ADJ
ejpam-5845	788	9	spaces	space	NOUN
ejpam-5845	788	10	basis	basis	NOUN
ejpam-5845	788	11	at	at	ADP
ejpam-5845	788	12	newly	newly	ADV
ejpam-5845	788	13	defined	define	VERB
ejpam-5845	788	14	operations	operation	NOUN
ejpam-5845	788	15	regarding	regard	VERB
ejpam-5845	788	16	vague	vague	ADJ
ejpam-5845	788	17	soft	soft	ADJ
ejpam-5845	788	18	points	point	NOUN
ejpam-5845	788	19	.	.	PUNCT
ejpam-5845	789	1	mathematical	mathematical	ADJ
ejpam-5845	789	2	problems	problem	NOUN
ejpam-5845	789	3	in	in	ADP
ejpam-5845	789	4	engineering	engineering	NOUN
ejpam-5845	789	5	,	,	PUNCT
ejpam-5845	789	6	2021:440854	2021:440854	NUM
ejpam-5845	789	7	,	,	PUNCT
ejpam-5845	789	8	2021	2021	NUM
ejpam-5845	789	9	.	.	PUNCT
ejpam-5845	790	1	[	[	X
ejpam-5845	790	2	34	34	NUM
ejpam-5845	790	3	]	]	PUNCT
ejpam-5845	790	4	a.	a.	NOUN
ejpam-5845	790	5	m.	m.	PROPN
ejpam-5845	790	6	khattak	khattak	PROPN
ejpam-5845	790	7	,	,	PUNCT
ejpam-5845	790	8	n.	n.	PROPN
ejpam-5845	790	9	hanif	hanif	PROPN
ejpam-5845	790	10	,	,	PUNCT
ejpam-5845	790	11	f.	f.	PROPN
ejpam-5845	790	12	nadeem	nadeem	PROPN
ejpam-5845	790	13	,	,	PUNCT
ejpam-5845	790	14	m.	m.	PROPN
ejpam-5845	790	15	zamir	zamir	PROPN
ejpam-5845	790	16	,	,	PUNCT
ejpam-5845	790	17	c.	c.	PROPN
ejpam-5845	790	18	park	park	PROPN
ejpam-5845	790	19	,	,	PUNCT
ejpam-5845	790	20	g.	g.	PROPN
ejpam-5845	790	21	nordo	nordo	PROPN
ejpam-5845	790	22	,	,	PUNCT
ejpam-5845	790	23	and	and	CCONJ
ejpam-5845	790	24	s.	s.	PROPN
ejpam-5845	790	25	jabeen	jabeen	PROPN
ejpam-5845	790	26	.	.	PUNCT
ejpam-5845	790	27	soft	soft	ADJ
ejpam-5845	790	28	bseparation	bseparation	NOUN
ejpam-5845	790	29	axioms	axiom	NOUN
ejpam-5845	790	30	in	in	ADP
ejpam-5845	790	31	neutrosophic	neutrosophic	ADJ
ejpam-5845	790	32	soft	soft	ADJ
ejpam-5845	790	33	topological	topological	ADJ
ejpam-5845	790	34	structures	structure	NOUN
ejpam-5845	790	35	.	.	PUNCT
ejpam-5845	791	1	annals	annal	NOUN
ejpam-5845	791	2	of	of	ADP
ejpam-5845	791	3	fuzzy	fuzzy	ADJ
ejpam-5845	791	4	mathematics	mathematic	NOUN
ejpam-5845	791	5	and	and	CCONJ
ejpam-5845	791	6	informatics	informatic	NOUN
ejpam-5845	791	7	,	,	PUNCT
ejpam-5845	791	8	18(1):93–105	18(1):93–105	NUM
ejpam-5845	791	9	,	,	PUNCT
ejpam-5845	791	10	2019	2019	NUM
ejpam-5845	791	11	.	.	PUNCT
ejpam-5845	792	1	[	[	X
ejpam-5845	792	2	35	35	NUM
ejpam-5845	792	3	]	]	PUNCT
ejpam-5845	792	4	a.	a.	NOUN
ejpam-5845	792	5	mehmood	mehmood	PROPN
ejpam-5845	792	6	,	,	PUNCT
ejpam-5845	792	7	f.	f.	PROPN
ejpam-5845	792	8	afzal	afzal	PROPN
ejpam-5845	792	9	,	,	PUNCT
ejpam-5845	792	10	m.	m.	PROPN
ejpam-5845	792	11	i.	i.	PROPN
ejpam-5845	792	12	khan	khan	PROPN
ejpam-5845	792	13	,	,	PUNCT
ejpam-5845	792	14	s.	s.	PROPN
ejpam-5845	792	15	abdullah	abdullah	PROPN
ejpam-5845	792	16	,	,	PUNCT
ejpam-5845	792	17	and	and	CCONJ
ejpam-5845	792	18	s.	s.	PROPN
ejpam-5845	792	19	gul	gul	PROPN
ejpam-5845	792	20	.	.	PUNCT
ejpam-5845	792	21	neutrosophic	neutrosophic	PROPN
ejpam-5845	792	22	soft	soft	ADJ
ejpam-5845	792	23	quad	quad	NOUN
ejpam-5845	792	24	structures	structure	NOUN
ejpam-5845	792	25	concerning	concern	VERB
ejpam-5845	792	26	neutrosophic	neutrosophic	ADJ
ejpam-5845	792	27	soft	soft	ADJ
ejpam-5845	792	28	points	point	NOUN
ejpam-5845	792	29	.	.	PUNCT
ejpam-5845	793	1	mathematical	mathematical	ADJ
ejpam-5845	793	2	problems	problem	NOUN
ejpam-5845	793	3	in	in	ADP
ejpam-5845	793	4	engineering	engineering	NOUN
ejpam-5845	793	5	,	,	PUNCT
ejpam-5845	793	6	2022:8483632	2022:8483632	NUM
ejpam-5845	793	7	,	,	PUNCT
ejpam-5845	793	8	2022	2022	NUM
ejpam-5845	793	9	.	.	PUNCT
ejpam-5845	794	1	[	[	X
ejpam-5845	794	2	36	36	NUM
ejpam-5845	794	3	]	]	X
ejpam-5845	794	4	s.	s.	PROPN
ejpam-5845	794	5	ramesh	ramesh	PROPN
ejpam-5845	794	6	kumar	kumar	PROPN
ejpam-5845	794	7	and	and	CCONJ
ejpam-5845	794	8	a.	a.	PROPN
ejpam-5845	794	9	stanis	stanis	PROPN
ejpam-5845	794	10	arul	arul	PROPN
ejpam-5845	794	11	mary	mary	PROPN
ejpam-5845	794	12	.	.	PROPN
ejpam-5845	794	13	quadri	quadri	PROPN
ejpam-5845	794	14	-	-	PUNCT
ejpam-5845	794	15	partitioned	partition	VERB
ejpam-5845	794	16	neutrosophic	neutrosophic	ADJ
ejpam-5845	794	17	soft	soft	ADJ
ejpam-5845	794	18	set	set	NOUN
ejpam-5845	794	19	.	.	PUNCT
ejpam-5845	795	1	international	international	ADJ
ejpam-5845	795	2	research	research	PROPN
ejpam-5845	795	3	journal	journal	NOUN
ejpam-5845	795	4	on	on	ADP
ejpam-5845	795	5	advanced	advanced	ADJ
ejpam-5845	795	6	science	science	NOUN
ejpam-5845	795	7	hub	hub	NOUN
ejpam-5845	795	8	,	,	PUNCT
ejpam-5845	795	9	3(8):106–112	3(8):106–112	PROPN
ejpam-5845	795	10	,	,	PUNCT
ejpam-5845	795	11	2021	2021	NUM
ejpam-5845	795	12	.	.	PUNCT
ejpam-5845	796	1	[	[	X
ejpam-5845	796	2	37	37	NUM
ejpam-5845	796	3	]	]	PUNCT
ejpam-5845	796	4	t.	t.	PROPN
ejpam-5845	796	5	m.	m.	PROPN
ejpam-5845	796	6	al	al	PROPN
ejpam-5845	796	7	-	-	PUNCT
ejpam-5845	796	8	shami	shami	PROPN
ejpam-5845	796	9	and	and	CCONJ
ejpam-5845	796	10	a.	a.	NOUN
ejpam-5845	796	11	a.	a.	PROPN
ejpam-5845	796	12	azzam	azzam	PROPN
ejpam-5845	796	13	.	.	PUNCT
ejpam-5845	797	1	infra	infra	NOUN
ejpam-5845	797	2	soft	soft	ADJ
ejpam-5845	797	3	semi	semi	ADJ
ejpam-5845	797	4	-	-	ADJ
ejpam-5845	797	5	open	open	ADJ
ejpam-5845	797	6	sets	set	NOUN
ejpam-5845	797	7	and	and	CCONJ
ejpam-5845	797	8	infra	infra	NOUN
ejpam-5845	797	9	soft	soft	ADJ
ejpam-5845	797	10	semi	semi	NOUN
ejpam-5845	797	11	-	-	NOUN
ejpam-5845	797	12	continuity	continuity	NOUN
ejpam-5845	797	13	.	.	PUNCT
ejpam-5845	798	1	journal	journal	NOUN
ejpam-5845	798	2	of	of	ADP
ejpam-5845	798	3	function	function	NOUN
ejpam-5845	798	4	spaces	space	NOUN
ejpam-5845	798	5	,	,	PUNCT
ejpam-5845	798	6	2021:5716876	2021:5716876	NUM
ejpam-5845	798	7	,	,	PUNCT
ejpam-5845	798	8	2021	2021	NUM
ejpam-5845	798	9	.	.	PUNCT
ejpam-5845	799	1	[	[	X
ejpam-5845	799	2	38	38	NUM
ejpam-5845	799	3	]	]	PUNCT
ejpam-5845	799	4	r.	r.	PROPN
ejpam-5845	799	5	hatamleh	hatamleh	PROPN
ejpam-5845	799	6	,	,	PUNCT
ejpam-5845	799	7	a.	a.	PROPN
ejpam-5845	799	8	al	al	PROPN
ejpam-5845	799	9	-	-	PUNCT
ejpam-5845	799	10	husban	husban	PROPN
ejpam-5845	799	11	,	,	PUNCT
ejpam-5845	799	12	s.	s.	PROPN
ejpam-5845	799	13	a.	a.	PROPN
ejpam-5845	799	14	m.	m.	PROPN
ejpam-5845	799	15	zubair	zubair	PROPN
ejpam-5845	799	16	,	,	PUNCT
ejpam-5845	799	17	m.	m.	NOUN
ejpam-5845	799	18	elamin	elamin	NOUN
ejpam-5845	799	19	,	,	PUNCT
ejpam-5845	799	20	m.	m.	NOUN
ejpam-5845	799	21	m.	m.	PROPN
ejpam-5845	799	22	saeed	saeed	PROPN
ejpam-5845	799	23	,	,	PUNCT
ejpam-5845	799	24	e.	e.	PROPN
ejpam-5845	799	25	abdolmaleki	abdolmaleki	PROPN
ejpam-5845	799	26	,	,	PUNCT
ejpam-5845	799	27	et	et	PROPN
ejpam-5845	799	28	al	al	PROPN
ejpam-5845	799	29	.	.	PUNCT
ejpam-5845	799	30	ai	ai	AUX
ejpam-5845	799	31	-	-	PUNCT
ejpam-5845	799	32	assisted	assist	VERB
ejpam-5845	799	33	wearable	wearable	ADJ
ejpam-5845	799	34	devices	device	NOUN
ejpam-5845	799	35	for	for	ADP
ejpam-5845	799	36	promoting	promote	VERB
ejpam-5845	799	37	human	human	ADJ
ejpam-5845	799	38	health	health	NOUN
ejpam-5845	799	39	and	and	CCONJ
ejpam-5845	799	40	strength	strength	NOUN
ejpam-5845	799	41	using	use	VERB
ejpam-5845	799	42	complex	complex	ADJ
ejpam-5845	799	43	interval	interval	NOUN
ejpam-5845	799	44	-	-	PUNCT
ejpam-5845	799	45	valued	value	VERB
ejpam-5845	799	46	picture	picture	NOUN
ejpam-5845	799	47	fuzzy	fuzzy	ADJ
ejpam-5845	799	48	soft	soft	ADJ
ejpam-5845	799	49	relations	relation	NOUN
ejpam-5845	799	50	.	.	PUNCT
ejpam-5845	800	1	european	european	PROPN
ejpam-5845	800	2	journal	journal	PROPN
ejpam-5845	800	3	of	of	ADP
ejpam-5845	800	4	pure	pure	ADJ
ejpam-5845	800	5	and	and	CCONJ
ejpam-5845	800	6	applied	applied	ADJ
ejpam-5845	800	7	mathematics	mathematic	NOUN
ejpam-5845	800	8	,	,	PUNCT
ejpam-5845	800	9	18(1):5523	18(1):5523	NUM
ejpam-5845	800	10	,	,	PUNCT
ejpam-5845	800	11	2025	2025	NUM
ejpam-5845	800	12	.	.	PUNCT
ejpam-5845	801	1	[	[	X
ejpam-5845	801	2	39	39	NUM
ejpam-5845	801	3	]	]	PUNCT
ejpam-5845	801	4	r.	r.	PROPN
ejpam-5845	801	5	hatamleh	hatamleh	PROPN
ejpam-5845	801	6	,	,	PUNCT
ejpam-5845	801	7	a.	a.	PROPN
ejpam-5845	801	8	s.	s.	PROPN
ejpam-5845	801	9	heilat	heilat	PROPN
ejpam-5845	801	10	,	,	PUNCT
ejpam-5845	801	11	m.	m.	NOUN
ejpam-5845	801	12	palanikumar	palanikumar	PROPN
ejpam-5845	801	13	,	,	PUNCT
ejpam-5845	801	14	and	and	CCONJ
ejpam-5845	801	15	a.	a.	PROPN
ejpam-5845	801	16	al	al	PROPN
ejpam-5845	801	17	-	-	PUNCT
ejpam-5845	801	18	husban	husban	PROPN
ejpam-5845	801	19	.	.	PUNCT
ejpam-5845	802	1	different	different	ADJ
ejpam-5845	802	2	operators	operator	NOUN
ejpam-5845	802	3	via	via	ADP
ejpam-5845	802	4	weighted	weighted	ADJ
ejpam-5845	802	5	averaging	averaging	NOUN
ejpam-5845	802	6	and	and	CCONJ
ejpam-5845	802	7	geometric	geometric	ADJ
ejpam-5845	802	8	approach	approach	NOUN
ejpam-5845	802	9	using	use	VERB
ejpam-5845	802	10	trigonometric	trigonometric	PROPN
ejpam-5845	802	11	neutrosophic	neutrosophic	PROPN
ejpam-5845	802	12	intervalvalued	intervalvalue	VERB
ejpam-5845	802	13	set	set	VERB
ejpam-5845	802	14	and	and	CCONJ
ejpam-5845	802	15	its	its	PRON
ejpam-5845	802	16	extension	extension	NOUN
ejpam-5845	802	17	.	.	PUNCT
ejpam-5845	803	1	neutrosophic	neutrosophic	ADJ
ejpam-5845	803	2	sets	set	NOUN
ejpam-5845	803	3	and	and	CCONJ
ejpam-5845	803	4	systems	system	NOUN
ejpam-5845	803	5	,	,	PUNCT
ejpam-5845	803	6	80:194–213	80:194–213	NUM
ejpam-5845	803	7	,	,	PUNCT
ejpam-5845	803	8	2025	2025	NUM
ejpam-5845	803	9	.	.	PUNCT
ejpam-5845	804	1	[	[	X
ejpam-5845	804	2	40	40	NUM
ejpam-5845	804	3	]	]	PUNCT
ejpam-5845	804	4	r.	r.	PROPN
ejpam-5845	804	5	hatamleh	hatamleh	PROPN
ejpam-5845	804	6	,	,	PUNCT
ejpam-5845	804	7	a.	a.	PROPN
ejpam-5845	804	8	al	al	PROPN
ejpam-5845	804	9	-	-	PUNCT
ejpam-5845	804	10	husban	husban	PROPN
ejpam-5845	804	11	,	,	PUNCT
ejpam-5845	804	12	m.	m.	NOUN
ejpam-5845	804	13	palanikumar	palanikumar	PROPN
ejpam-5845	804	14	,	,	PUNCT
ejpam-5845	804	15	and	and	CCONJ
ejpam-5845	804	16	k.	k.	PROPN
ejpam-5845	804	17	sundareswari	sundareswari	PROPN
ejpam-5845	804	18	.	.	PUNCT
ejpam-5845	805	1	different	different	ADJ
ejpam-5845	805	2	weighted	weighted	ADJ
ejpam-5845	805	3	opm	opm	PROPN
ejpam-5845	805	4	.	.	PUNCT
ejpam-5845	806	1	m.	m.	PROPN
ejpam-5845	806	2	saeed	saeed	PROPN
ejpam-5845	806	3	et	et	PROPN
ejpam-5845	806	4	al	al	PROPN
ejpam-5845	806	5	.	.	PUNCT
ejpam-5845	806	6	/	/	SYM
ejpam-5845	806	7	eur	eur	PROPN
ejpam-5845	806	8	.	.	PUNCT
ejpam-5845	807	1	j.	j.	PROPN
ejpam-5845	807	2	pure	pure	PROPN
ejpam-5845	807	3	appl	appl	PROPN
ejpam-5845	807	4	.	.	PROPN
ejpam-5845	807	5	math	math	PROPN
ejpam-5845	807	6	,	,	PUNCT
ejpam-5845	807	7	18	18	NUM
ejpam-5845	807	8	(	(	PUNCT
ejpam-5845	807	9	2	2	NUM
ejpam-5845	807	10	)	)	PUNCT
ejpam-5845	807	11	(	(	PUNCT
ejpam-5845	807	12	2025	2025	NUM
ejpam-5845	807	13	)	)	PUNCT
ejpam-5845	807	14	,	,	PUNCT
ejpam-5845	807	15	5845	5845	NUM
ejpam-5845	807	16	32	32	NUM
ejpam-5845	807	17	of	of	ADP
ejpam-5845	807	18	32	32	NUM
ejpam-5845	807	19	erators	erator	NOUN
ejpam-5845	807	20	such	such	ADJ
ejpam-5845	807	21	as	as	ADP
ejpam-5845	807	22	generalized	generalized	ADJ
ejpam-5845	807	23	averaging	averaging	NOUN
ejpam-5845	807	24	and	and	CCONJ
ejpam-5845	807	25	generalized	generalized	ADJ
ejpam-5845	807	26	geometric	geometric	NOUN
ejpam-5845	807	27	based	base	VERB
ejpam-5845	807	28	on	on	ADP
ejpam-5845	807	29	trigonometric	trigonometric	PROPN
ejpam-5845	807	30	℘rung	℘rung	VERB
ejpam-5845	807	31	interval	interval	NOUN
ejpam-5845	807	32	-	-	PUNCT
ejpam-5845	807	33	valued	value	VERB
ejpam-5845	807	34	approach	approach	NOUN
ejpam-5845	807	35	.	.	PUNCT
ejpam-5845	808	1	communications	communication	NOUN
ejpam-5845	808	2	on	on	ADP
ejpam-5845	808	3	applied	apply	VERB
ejpam-5845	808	4	nonlinear	nonlinear	ADJ
ejpam-5845	808	5	analysis	analysis	NOUN
ejpam-5845	808	6	,	,	PUNCT
ejpam-5845	808	7	32(5):91	32(5):91	NUM
ejpam-5845	808	8	–	–	PUNCT
ejpam-5845	808	9	101	101	NUM
ejpam-5845	808	10	,	,	PUNCT
ejpam-5845	808	11	2025	2025	NUM
ejpam-5845	808	12	.	.	PUNCT
ejpam-5845	809	1	[	[	X
ejpam-5845	809	2	41	41	NUM
ejpam-5845	809	3	]	]	PUNCT
ejpam-5845	809	4	a.	a.	NOUN
ejpam-5845	809	5	shihadeh	shihadeh	PROPN
ejpam-5845	809	6	,	,	PUNCT
ejpam-5845	809	7	r.	r.	PROPN
ejpam-5845	809	8	hatamleh	hatamleh	PROPN
ejpam-5845	809	9	,	,	PUNCT
ejpam-5845	809	10	m.	m.	NOUN
ejpam-5845	809	11	palanikumar	palanikumar	PROPN
ejpam-5845	809	12	,	,	PUNCT
ejpam-5845	809	13	and	and	CCONJ
ejpam-5845	809	14	a.	a.	PROPN
ejpam-5845	809	15	al	al	PROPN
ejpam-5845	809	16	-	-	PUNCT
ejpam-5845	809	17	husban	husban	PROPN
ejpam-5845	809	18	.	.	PUNCT
ejpam-5845	810	1	new	new	ADJ
ejpam-5845	810	2	algebraic	algebraic	ADJ
ejpam-5845	810	3	structures	structure	NOUN
ejpam-5845	810	4	towards	towards	ADP
ejpam-5845	810	5	different	different	ADJ
ejpam-5845	810	6	(	(	PUNCT
ejpam-5845	810	7	α	α	NOUN
ejpam-5845	810	8	,	,	PUNCT
ejpam-5845	810	9	β	β	NOUN
ejpam-5845	810	10	)	)	PUNCT
ejpam-5845	810	11	intuitionistic	intuitionistic	ADJ
ejpam-5845	810	12	fuzzy	fuzzy	ADJ
ejpam-5845	810	13	ideals	ideal	NOUN
ejpam-5845	810	14	and	and	CCONJ
ejpam-5845	810	15	its	its	PRON
ejpam-5845	810	16	characterization	characterization	NOUN
ejpam-5845	810	17	of	of	ADP
ejpam-5845	810	18	an	an	DET
ejpam-5845	810	19	ordered	order	VERB
ejpam-5845	810	20	ternary	ternary	ADJ
ejpam-5845	810	21	semigroup	semigroup	NOUN
ejpam-5845	810	22	.	.	PUNCT
ejpam-5845	811	1	communications	communication	NOUN
ejpam-5845	811	2	on	on	ADP
ejpam-5845	811	3	applied	apply	VERB
ejpam-5845	811	4	nonlinear	nonlinear	ADJ
ejpam-5845	811	5	analysis	analysis	NOUN
ejpam-5845	811	6	,	,	PUNCT
ejpam-5845	811	7	32(6):568–578	32(6):568–578	PROPN
ejpam-5845	811	8	,	,	PUNCT
ejpam-5845	811	9	2025	2025	NUM
ejpam-5845	811	10	.	.	PUNCT
ejpam-5845	812	1	[	[	X
ejpam-5845	812	2	42	42	NUM
ejpam-5845	812	3	]	]	PUNCT
ejpam-5845	812	4	r.	r.	PROPN
ejpam-5845	812	5	hatamleh	hatamleh	PROPN
ejpam-5845	812	6	,	,	PUNCT
ejpam-5845	812	7	a.	a.	PROPN
ejpam-5845	812	8	s.	s.	PROPN
ejpam-5845	812	9	heilat	heilat	PROPN
ejpam-5845	812	10	,	,	PUNCT
ejpam-5845	812	11	m.	m.	NOUN
ejpam-5845	812	12	palanikumar	palanikumar	PROPN
ejpam-5845	812	13	,	,	PUNCT
ejpam-5845	812	14	and	and	CCONJ
ejpam-5845	812	15	a.	a.	PROPN
ejpam-5845	812	16	al	al	PROPN
ejpam-5845	812	17	-	-	PUNCT
ejpam-5845	812	18	husban	husban	PROPN
ejpam-5845	812	19	.	.	PUNCT
ejpam-5845	813	1	characterization	characterization	NOUN
ejpam-5845	813	2	of	of	ADP
ejpam-5845	813	3	interaction	interaction	NOUN
ejpam-5845	813	4	aggregating	aggregate	VERB
ejpam-5845	813	5	operators	operator	NOUN
ejpam-5845	813	6	setting	set	VERB
ejpam-5845	813	7	interval	interval	NOUN
ejpam-5845	813	8	-	-	PUNCT
ejpam-5845	813	9	valued	value	VERB
ejpam-5845	813	10	pythagorean	pythagorean	PROPN
ejpam-5845	813	11	neutrosophic	neutrosophic	PROPN
ejpam-5845	813	12	set	set	PROPN
ejpam-5845	813	13	.	.	PUNCT
ejpam-5845	814	1	neutrosophic	neutrosophic	ADJ
ejpam-5845	814	2	sets	set	NOUN
ejpam-5845	814	3	and	and	CCONJ
ejpam-5845	814	4	systems	system	NOUN
ejpam-5845	814	5	,	,	PUNCT
ejpam-5845	814	6	81:285–305	81:285–305	PROPN
ejpam-5845	814	7	,	,	PUNCT
ejpam-5845	814	8	2025	2025	NUM
ejpam-5845	814	9	.	.	PUNCT
ejpam-5845	815	1	[	[	X
ejpam-5845	815	2	43	43	NUM
ejpam-5845	815	3	]	]	X
ejpam-5845	815	4	r.	r.	PROPN
ejpam-5845	815	5	hatamleh	hatamleh	PROPN
ejpam-5845	815	6	,	,	PUNCT
ejpam-5845	815	7	a.	a.	PROPN
ejpam-5845	815	8	al	al	PROPN
ejpam-5845	815	9	-	-	PUNCT
ejpam-5845	815	10	husban	husban	PROPN
ejpam-5845	815	11	,	,	PUNCT
ejpam-5845	815	12	k.	k.	PROPN
ejpam-5845	815	13	sundareswari	sundareswari	PROPN
ejpam-5845	815	14	,	,	PUNCT
ejpam-5845	815	15	g.	g.	PROPN
ejpam-5845	815	16	balaj	balaj	PROPN
ejpam-5845	815	17	,	,	PUNCT
ejpam-5845	815	18	and	and	CCONJ
ejpam-5845	815	19	m.	m.	NOUN
ejpam-5845	815	20	palanikumar	palanikumar	PROPN
ejpam-5845	815	21	.	.	PUNCT
ejpam-5845	816	1	complex	complex	ADJ
ejpam-5845	816	2	tangent	tangent	NOUN
ejpam-5845	816	3	trigonometric	trigonometric	ADJ
ejpam-5845	816	4	approach	approach	NOUN
ejpam-5845	816	5	applied	apply	VERB
ejpam-5845	816	6	to	to	ADP
ejpam-5845	816	7	(	(	PUNCT
ejpam-5845	816	8	γ	γ	PROPN
ejpam-5845	816	9	,	,	PUNCT
ejpam-5845	816	10	τ)-rung	τ)-rung	X
ejpam-5845	816	11	fuzzy	fuzzy	ADJ
ejpam-5845	816	12	set	set	VERB
ejpam-5845	816	13	using	use	VERB
ejpam-5845	816	14	weighted	weight	VERB
ejpam-5845	816	15	averaging	averaging	NOUN
ejpam-5845	816	16	,	,	PUNCT
ejpam-5845	816	17	geometric	geometric	ADJ
ejpam-5845	816	18	operators	operator	NOUN
ejpam-5845	816	19	and	and	CCONJ
ejpam-5845	816	20	its	its	PRON
ejpam-5845	816	21	extension	extension	NOUN
ejpam-5845	816	22	.	.	PUNCT
ejpam-5845	817	1	communications	communication	NOUN
ejpam-5845	817	2	on	on	ADP
ejpam-5845	817	3	applied	apply	VERB
ejpam-5845	817	4	nonlinear	nonlinear	ADJ
ejpam-5845	817	5	analysis	analysis	NOUN
ejpam-5845	817	6	,	,	PUNCT
ejpam-5845	817	7	32(5):133–144	32(5):133–144	NUM
ejpam-5845	817	8	,	,	PUNCT
ejpam-5845	817	9	2025	2025	NUM
ejpam-5845	817	10	.	.	PUNCT
ejpam-5845	818	1	[	[	X
ejpam-5845	818	2	44	44	NUM
ejpam-5845	818	3	]	]	PUNCT
ejpam-5845	818	4	a.	a.	NOUN
ejpam-5845	818	5	m.	m.	PROPN
ejpam-5845	818	6	abd	abd	PROPN
ejpam-5845	818	7	el	el	PROPN
ejpam-5845	818	8	-	-	PROPN
ejpam-5845	818	9	latif	latif	PROPN
ejpam-5845	818	10	and	and	CCONJ
ejpam-5845	818	11	r.	r.	PROPN
ejpam-5845	818	12	a.	a.	PROPN
ejpam-5845	818	13	hosny	hosny	PROPN
ejpam-5845	818	14	.	.	PUNCT
ejpam-5845	819	1	supra	supra	PROPN
ejpam-5845	819	2	soft	soft	ADJ
ejpam-5845	819	3	separation	separation	NOUN
ejpam-5845	819	4	axioms	axiom	NOUN
ejpam-5845	819	5	and	and	CCONJ
ejpam-5845	819	6	supra	supra	PROPN
ejpam-5845	819	7	irresoluteness	irresoluteness	NOUN
ejpam-5845	819	8	based	base	VERB
ejpam-5845	819	9	on	on	ADP
ejpam-5845	819	10	supra	supra	PROPN
ejpam-5845	819	11	b	b	PROPN
ejpam-5845	819	12	-	-	PUNCT
ejpam-5845	819	13	soft	soft	ADJ
ejpam-5845	819	14	sets	set	NOUN
ejpam-5845	819	15	.	.	PUNCT
ejpam-5845	820	1	gazi	gazi	PROPN
ejpam-5845	820	2	university	university	PROPN
ejpam-5845	820	3	journal	journal	PROPN
ejpam-5845	820	4	of	of	ADP
ejpam-5845	820	5	science	science	PROPN
ejpam-5845	820	6	,	,	PUNCT
ejpam-5845	820	7	29(4):845–854	29(4):845–854	PROPN
ejpam-5845	820	8	,	,	PUNCT
ejpam-5845	820	9	2016	2016	NUM
ejpam-5845	820	10	.	.	PUNCT
ejpam-5845	821	1	[	[	X
ejpam-5845	821	2	45	45	NUM
ejpam-5845	821	3	]	]	PUNCT
ejpam-5845	821	4	a.	a.	NOUN
ejpam-5845	821	5	m.	m.	PROPN
ejpam-5845	821	6	abd	abd	PROPN
ejpam-5845	821	7	el	el	PROPN
ejpam-5845	821	8	-	-	PROPN
ejpam-5845	821	9	latif	latif	PROPN
ejpam-5845	821	10	.	.	PUNCT
ejpam-5845	822	1	on	on	ADP
ejpam-5845	822	2	soft	soft	ADJ
ejpam-5845	822	3	supra	supra	ADJ
ejpam-5845	822	4	compactness	compactness	NOUN
ejpam-5845	822	5	in	in	ADP
ejpam-5845	822	6	supra	supra	PROPN
ejpam-5845	822	7	soft	soft	ADJ
ejpam-5845	822	8	topological	topological	ADJ
ejpam-5845	822	9	spaces	space	NOUN
ejpam-5845	822	10	.	.	PUNCT
ejpam-5845	823	1	tbilisi	tbilisi	PROPN
ejpam-5845	823	2	mathematical	mathematical	PROPN
ejpam-5845	823	3	journal	journal	PROPN
ejpam-5845	823	4	,	,	PUNCT
ejpam-5845	823	5	11(1):169–178	11(1):169–178	PROPN
ejpam-5845	823	6	,	,	PUNCT
ejpam-5845	823	7	2018	2018	NUM
ejpam-5845	823	8	.	.	PUNCT
ejpam-5845	824	1	[	[	X
ejpam-5845	824	2	46	46	NUM
ejpam-5845	824	3	]	]	PUNCT
ejpam-5845	824	4	a.	a.	NOUN
ejpam-5845	824	5	m.	m.	PROPN
ejpam-5845	824	6	abd	abd	PROPN
ejpam-5845	824	7	el	el	PROPN
ejpam-5845	824	8	-	-	PROPN
ejpam-5845	824	9	latif	latif	PROPN
ejpam-5845	824	10	and	and	CCONJ
ejpam-5845	824	11	r.	r.	PROPN
ejpam-5845	824	12	a.	a.	PROPN
ejpam-5845	824	13	hosny	hosny	PROPN
ejpam-5845	824	14	.	.	PUNCT
ejpam-5845	825	1	supra	supra	PROPN
ejpam-5845	825	2	open	open	VERB
ejpam-5845	825	3	soft	soft	ADJ
ejpam-5845	825	4	sets	set	NOUN
ejpam-5845	825	5	and	and	CCONJ
ejpam-5845	825	6	associated	associate	VERB
ejpam-5845	825	7	soft	soft	ADJ
ejpam-5845	825	8	separation	separation	NOUN
ejpam-5845	825	9	axioms	axiom	NOUN
ejpam-5845	825	10	.	.	PUNCT
ejpam-5845	826	1	international	international	ADJ
ejpam-5845	826	2	journal	journal	NOUN
ejpam-5845	826	3	of	of	ADP
ejpam-5845	826	4	advances	advance	NOUN
ejpam-5845	826	5	in	in	ADP
ejpam-5845	826	6	mathematics	mathematic	NOUN
ejpam-5845	826	7	,	,	PUNCT
ejpam-5845	826	8	2017(6):68–81	2017(6):68–81	NUM
ejpam-5845	826	9	,	,	PUNCT
ejpam-5845	826	10	2017	2017	NUM
ejpam-5845	826	11	.	.	PUNCT
ejpam-5845	827	1	[	[	X
ejpam-5845	827	2	47	47	NUM
ejpam-5845	827	3	]	]	PUNCT
ejpam-5845	827	4	a.	a.	NOUN
ejpam-5845	827	5	m.	m.	PROPN
ejpam-5845	827	6	abd	abd	PROPN
ejpam-5845	827	7	el	el	PROPN
ejpam-5845	827	8	-	-	PROPN
ejpam-5845	827	9	latif	latif	PROPN
ejpam-5845	827	10	and	and	CCONJ
ejpam-5845	827	11	r.	r.	PROPN
ejpam-5845	827	12	a.	a.	PROPN
ejpam-5845	827	13	hosny	hosny	PROPN
ejpam-5845	827	14	.	.	PUNCT
ejpam-5845	828	1	soft	soft	ADJ
ejpam-5845	828	2	supra	supra	PROPN
ejpam-5845	828	3	extra	extra	ADJ
ejpam-5845	828	4	strongly	strongly	ADV
ejpam-5845	828	5	generalized	generalize	VERB
ejpam-5845	828	6	closed	closed	ADJ
ejpam-5845	828	7	.	.	PUNCT
ejpam-5845	829	1	analele	analele	PROPN
ejpam-5845	829	2	universitatii	universitatii	PROPN
ejpam-5845	829	3	oradea	oradea	PROPN
ejpam-5845	829	4	fascicula	fascicula	PROPN
ejpam-5845	829	5	matematica	matematica	PROPN
ejpam-5845	829	6	,	,	PUNCT
ejpam-5845	829	7	24(1):103–112	24(1):103–112	PROPN
ejpam-5845	829	8	,	,	PUNCT
ejpam-5845	829	9	2017	2017	NUM
ejpam-5845	829	10	.	.	PUNCT
ejpam-5845	830	1	[	[	X
ejpam-5845	830	2	48	48	NUM
ejpam-5845	830	3	]	]	PUNCT
ejpam-5845	830	4	p.	p.	PROPN
ejpam-5845	830	5	k.	k.	PROPN
ejpam-5845	831	1	maji	maji	PROPN
ejpam-5845	831	2	.	.	PUNCT
ejpam-5845	832	1	neutrosophic	neutrosophic	ADJ
ejpam-5845	832	2	soft	soft	ADJ
ejpam-5845	832	3	set	set	NOUN
ejpam-5845	832	4	.	.	PUNCT
ejpam-5845	833	1	annals	annal	NOUN
ejpam-5845	833	2	of	of	ADP
ejpam-5845	833	3	fuzzy	fuzzy	ADJ
ejpam-5845	833	4	mathematics	mathematic	NOUN
ejpam-5845	833	5	and	and	CCONJ
ejpam-5845	833	6	informatics	informatic	NOUN
ejpam-5845	833	7	,	,	PUNCT
ejpam-5845	833	8	5(1):157	5(1):157	NUM
ejpam-5845	833	9	–	–	PUNCT
ejpam-5845	833	10	168	168	NUM
ejpam-5845	833	11	,	,	PUNCT
ejpam-5845	833	12	2013	2013	NUM
ejpam-5845	833	13	.	.	PUNCT
ejpam-5845	834	1	[	[	X
ejpam-5845	834	2	49	49	NUM
ejpam-5845	834	3	]	]	PUNCT
ejpam-5845	834	4	i.	i.	NOUN
ejpam-5845	834	5	deli	deli	PROPN
ejpam-5845	834	6	and	and	CCONJ
ejpam-5845	834	7	s.	s.	PROPN
ejpam-5845	834	8	broumi	broumi	PROPN
ejpam-5845	834	9	.	.	PUNCT
ejpam-5845	835	1	neutrosophic	neutrosophic	ADJ
ejpam-5845	835	2	soft	soft	ADJ
ejpam-5845	835	3	relations	relation	NOUN
ejpam-5845	835	4	and	and	CCONJ
ejpam-5845	835	5	some	some	DET
ejpam-5845	835	6	properties	property	NOUN
ejpam-5845	835	7	.	.	PUNCT
ejpam-5845	836	1	annals	annal	NOUN
ejpam-5845	836	2	of	of	ADP
ejpam-5845	836	3	fuzzy	fuzzy	ADJ
ejpam-5845	836	4	mathematics	mathematic	NOUN
ejpam-5845	836	5	and	and	CCONJ
ejpam-5845	836	6	informatics	informatic	NOUN
ejpam-5845	836	7	,	,	PUNCT
ejpam-5845	836	8	9(1):169–182	9(1):169–182	NUM
ejpam-5845	836	9	,	,	PUNCT
ejpam-5845	836	10	2015	2015	NUM
ejpam-5845	836	11	.	.	PUNCT