id	sid	tid	token	lemma	pos
ejpam-6324	1	1	european	european	PROPN
ejpam-6324	1	2	journal	journal	PROPN
ejpam-6324	1	3	of	of	ADP
ejpam-6324	1	4	pure	pure	ADJ
ejpam-6324	1	5	and	and	CCONJ
ejpam-6324	1	6	applied	applied	ADJ
ejpam-6324	1	7	mathematics	mathematic	NOUN
ejpam-6324	1	8	2025	2025	NUM
ejpam-6324	1	9	,	,	PUNCT
ejpam-6324	1	10	vol	vol	NOUN
ejpam-6324	1	11	.	.	PROPN
ejpam-6324	1	12	18	18	NUM
ejpam-6324	1	13	,	,	PUNCT
ejpam-6324	1	14	issue	issue	NOUN
ejpam-6324	1	15	3	3	NUM
ejpam-6324	1	16	,	,	PUNCT
ejpam-6324	1	17	article	article	NOUN
ejpam-6324	1	18	number	number	NOUN
ejpam-6324	1	19	6324	6324	NUM
ejpam-6324	1	20	issn	issn	VERB
ejpam-6324	1	21	1307	1307	NUM
ejpam-6324	1	22	-	-	SYM
ejpam-6324	1	23	5543	5543	NUM
ejpam-6324	1	24	–	–	PUNCT
ejpam-6324	1	25	ejpam.com	ejpam.com	X
ejpam-6324	1	26	published	publish	VERB
ejpam-6324	1	27	by	by	ADP
ejpam-6324	1	28	new	new	PROPN
ejpam-6324	1	29	york	york	PROPN
ejpam-6324	1	30	business	business	PROPN
ejpam-6324	1	31	global	global	ADJ
ejpam-6324	1	32	separation	separation	NOUN
ejpam-6324	1	33	axioms	axiom	NOUN
ejpam-6324	1	34	in	in	ADP
ejpam-6324	1	35	quadri	quadri	NOUN
ejpam-6324	1	36	-	-	PUNCT
ejpam-6324	1	37	partition	partition	NOUN
ejpam-6324	1	38	neutrosophic	neutrosophic	ADJ
ejpam-6324	1	39	soft	soft	ADJ
ejpam-6324	1	40	topological	topological	ADJ
ejpam-6324	1	41	spaces	space	NOUN
ejpam-6324	1	42	maha	maha	PROPN
ejpam-6324	1	43	mohammed	mohammed	PROPN
ejpam-6324	1	44	saeed1	saeed1	PROPN
ejpam-6324	1	45	,	,	PUNCT
ejpam-6324	1	46	raed	raed	PROPN
ejpam-6324	1	47	hatamleh2	hatamleh2	PROPN
ejpam-6324	1	48	,	,	PUNCT
ejpam-6324	1	49	alaa	alaa	PROPN
ejpam-6324	1	50	m.	m.	PROPN
ejpam-6324	1	51	abd	abd	PROPN
ejpam-6324	1	52	el	el	PROPN
ejpam-6324	1	53	-	-	PUNCT
ejpam-6324	1	54	latif3	latif3	PROPN
ejpam-6324	1	55	,	,	PUNCT
ejpam-6324	1	56	abdallah	abdallah	PROPN
ejpam-6324	1	57	al	al	PROPN
ejpam-6324	1	58	-	-	PUNCT
ejpam-6324	1	59	husban4	husban4	PROPN
ejpam-6324	1	60	,	,	PUNCT
ejpam-6324	1	61	takaaki	takaaki	NOUN
ejpam-6324	1	62	fujita5	fujita5	PROPN
ejpam-6324	1	63	,	,	PUNCT
ejpam-6324	1	64	cris	cris	PROPN
ejpam-6324	1	65	l.	l.	PROPN
ejpam-6324	1	66	armada6,7	armada6,7	PROPN
ejpam-6324	1	67	,	,	PUNCT
ejpam-6324	1	68	rabia	rabia	PROPN
ejpam-6324	1	69	andleeb8	andleeb8	PROPN
ejpam-6324	1	70	,	,	PUNCT
ejpam-6324	1	71	arif	arif	PROPN
ejpam-6324	1	72	mehmood8,∗	mehmood8,∗	PROPN
ejpam-6324	1	73	1	1	NUM
ejpam-6324	1	74	department	department	NOUN
ejpam-6324	1	75	of	of	ADP
ejpam-6324	1	76	mathematics	mathematic	NOUN
ejpam-6324	1	77	,	,	PUNCT
ejpam-6324	1	78	faculty	faculty	NOUN
ejpam-6324	1	79	of	of	ADP
ejpam-6324	1	80	sciences	science	NOUN
ejpam-6324	1	81	,	,	PUNCT
ejpam-6324	1	82	king	king	NOUN
ejpam-6324	1	83	abdulaziz	abdulaziz	PROPN
ejpam-6324	1	84	university	university	PROPN
ejpam-6324	1	85	,	,	PUNCT
ejpam-6324	1	86	p.o	p.o	PROPN
ejpam-6324	1	87	.	.	PROPN
ejpam-6324	1	88	box	box	PROPN
ejpam-6324	1	89	80203	80203	NUM
ejpam-6324	1	90	,	,	PUNCT
ejpam-6324	1	91	jeddah	jeddah	PROPN
ejpam-6324	1	92	21589	21589	NUM
ejpam-6324	1	93	,	,	PUNCT
ejpam-6324	1	94	15	15	NUM
ejpam-6324	1	95	saudi	saudi	ADJ
ejpam-6324	1	96	,	,	PUNCT
ejpam-6324	1	97	arabi	arabi	NOUN
ejpam-6324	1	98	.	.	PUNCT
ejpam-6324	2	1	2	2	NUM
ejpam-6324	2	2	department	department	NOUN
ejpam-6324	2	3	of	of	ADP
ejpam-6324	2	4	mathematics	mathematic	NOUN
ejpam-6324	2	5	,	,	PUNCT
ejpam-6324	2	6	faculty	faculty	NOUN
ejpam-6324	2	7	of	of	ADP
ejpam-6324	2	8	science	science	NOUN
ejpam-6324	2	9	,	,	PUNCT
ejpam-6324	2	10	jadara	jadara	PROPN
ejpam-6324	2	11	university	university	PROPN
ejpam-6324	2	12	,	,	PUNCT
ejpam-6324	2	13	p.o	p.o	PROPN
ejpam-6324	2	14	.	.	PROPN
ejpam-6324	2	15	box	box	PROPN
ejpam-6324	2	16	733	733	NUM
ejpam-6324	2	17	,	,	PUNCT
ejpam-6324	2	18	irbid	irbid	ADJ
ejpam-6324	2	19	21110	21110	NUM
ejpam-6324	2	20	,	,	PUNCT
ejpam-6324	2	21	jordan	jordan	PROPN
ejpam-6324	2	22	3	3	NUM
ejpam-6324	2	23	department	department	PROPN
ejpam-6324	2	24	of	of	ADP
ejpam-6324	2	25	mathematics	mathematics	PROPN
ejpam-6324	2	26	,	,	PUNCT
ejpam-6324	2	27	college	college	NOUN
ejpam-6324	2	28	of	of	ADP
ejpam-6324	2	29	science	science	NOUN
ejpam-6324	2	30	,	,	PUNCT
ejpam-6324	2	31	northern	northern	ADJ
ejpam-6324	2	32	border	border	NOUN
ejpam-6324	2	33	university	university	NOUN
ejpam-6324	2	34	,	,	PUNCT
ejpam-6324	2	35	arar	arar	NOUN
ejpam-6324	2	36	91431	91431	NUM
ejpam-6324	2	37	,	,	PUNCT
ejpam-6324	2	38	saudi	saudi	PROPN
ejpam-6324	2	39	arabia	arabia	PROPN
ejpam-6324	2	40	4	4	NUM
ejpam-6324	2	41	department	department	NOUN
ejpam-6324	2	42	of	of	ADP
ejpam-6324	2	43	mathematics	mathematic	NOUN
ejpam-6324	2	44	,	,	PUNCT
ejpam-6324	2	45	faculty	faculty	NOUN
ejpam-6324	2	46	of	of	ADP
ejpam-6324	2	47	science	science	NOUN
ejpam-6324	2	48	and	and	CCONJ
ejpam-6324	2	49	technology	technology	NOUN
ejpam-6324	2	50	,	,	PUNCT
ejpam-6324	2	51	irbid	irbid	VERB
ejpam-6324	2	52	national	national	ADJ
ejpam-6324	2	53	university	university	PROPN
ejpam-6324	2	54	,	,	PUNCT
ejpam-6324	2	55	p.o	p.o	PROPN
ejpam-6324	2	56	.	.	PROPN
ejpam-6324	2	57	box	box	PROPN
ejpam-6324	2	58	:	:	PUNCT
ejpam-6324	2	59	2600	2600	NUM
ejpam-6324	2	60	irbid	irbid	ADJ
ejpam-6324	2	61	,	,	PUNCT
ejpam-6324	2	62	jordan	jordan	PROPN
ejpam-6324	2	63	5	5	NUM
ejpam-6324	2	64	independent	independent	ADJ
ejpam-6324	2	65	researcher	researcher	NOUN
ejpam-6324	2	66	,	,	PUNCT
ejpam-6324	2	67	shinjuku	shinjuku	PROPN
ejpam-6324	2	68	,	,	PUNCT
ejpam-6324	2	69	shinjuku	shinjuku	PROPN
ejpam-6324	2	70	-	-	PUNCT
ejpam-6324	2	71	ku	ku	PROPN
ejpam-6324	2	72	,	,	PUNCT
ejpam-6324	2	73	tokyo	tokyo	PROPN
ejpam-6324	2	74	,	,	PUNCT
ejpam-6324	2	75	japan	japan	PROPN
ejpam-6324	2	76	6	6	NUM
ejpam-6324	2	77	vietnam	vietnam	PROPN
ejpam-6324	2	78	national	national	PROPN
ejpam-6324	2	79	university	university	PROPN
ejpam-6324	2	80	ho	ho	PROPN
ejpam-6324	2	81	chi	chi	PROPN
ejpam-6324	2	82	minh	minh	PROPN
ejpam-6324	2	83	city	city	PROPN
ejpam-6324	2	84	,	,	PUNCT
ejpam-6324	2	85	linh	linh	NOUN
ejpam-6324	2	86	trung	trung	VERB
ejpam-6324	2	87	ward	ward	NOUN
ejpam-6324	2	88	,	,	PUNCT
ejpam-6324	2	89	thu	thu	PROPN
ejpam-6324	2	90	duc	duc	PROPN
ejpam-6324	2	91	city	city	PROPN
ejpam-6324	2	92	,	,	PUNCT
ejpam-6324	2	93	ho	ho	PROPN
ejpam-6324	2	94	chi	chi	PROPN
ejpam-6324	2	95	minh	minh	PROPN
ejpam-6324	2	96	city	city	PROPN
ejpam-6324	2	97	,	,	PUNCT
ejpam-6324	2	98	vietnam	vietnam	PROPN
ejpam-6324	2	99	7	7	NUM
ejpam-6324	2	100	department	department	NOUN
ejpam-6324	2	101	of	of	ADP
ejpam-6324	2	102	applied	apply	VERB
ejpam-6324	2	103	mathematics	mathematic	NOUN
ejpam-6324	2	104	,	,	PUNCT
ejpam-6324	2	105	faculty	faculty	NOUN
ejpam-6324	2	106	of	of	ADP
ejpam-6324	2	107	applied	apply	VERB
ejpam-6324	2	108	science	science	NOUN
ejpam-6324	2	109	,	,	PUNCT
ejpam-6324	2	110	ho	ho	PROPN
ejpam-6324	2	111	chi	chi	PROPN
ejpam-6324	2	112	minh	minh	PROPN
ejpam-6324	2	113	city	city	PROPN
ejpam-6324	2	114	university	university	PROPN
ejpam-6324	2	115	of	of	ADP
ejpam-6324	2	116	technology	technology	NOUN
ejpam-6324	2	117	(	(	PUNCT
ejpam-6324	2	118	hcmut	hcmut	ADJ
ejpam-6324	2	119	)	)	PUNCT
ejpam-6324	2	120	,	,	PUNCT
ejpam-6324	2	121	268	268	NUM
ejpam-6324	2	122	ly	ly	ADP
ejpam-6324	2	123	thuong	thuong	NOUN
ejpam-6324	2	124	kiet	kiet	PROPN
ejpam-6324	2	125	,	,	PUNCT
ejpam-6324	2	126	ward	ward	VERB
ejpam-6324	2	127	14	14	NUM
ejpam-6324	2	128	,	,	PUNCT
ejpam-6324	2	129	district	district	NOUN
ejpam-6324	2	130	10	10	NUM
ejpam-6324	2	131	,	,	PUNCT
ejpam-6324	2	132	ho	ho	PROPN
ejpam-6324	2	133	chi	chi	PROPN
ejpam-6324	2	134	minh	minh	PROPN
ejpam-6324	2	135	city	city	PROPN
ejpam-6324	2	136	,	,	PUNCT
ejpam-6324	2	137	vietnam	vietnam	PROPN
ejpam-6324	2	138	8	8	NUM
ejpam-6324	2	139	department	department	NOUN
ejpam-6324	2	140	of	of	ADP
ejpam-6324	2	141	mathematics	mathematics	PROPN
ejpam-6324	2	142	,	,	PUNCT
ejpam-6324	2	143	institute	institute	PROPN
ejpam-6324	2	144	of	of	ADP
ejpam-6324	2	145	numerical	numerical	PROPN
ejpam-6324	2	146	sciences	sciences	PROPN
ejpam-6324	2	147	,	,	PUNCT
ejpam-6324	2	148	gomal	gomal	ADJ
ejpam-6324	2	149	university	university	NOUN
ejpam-6324	2	150	,	,	PUNCT
ejpam-6324	2	151	dera	dera	PROPN
ejpam-6324	2	152	ismail	ismail	PROPN
ejpam-6324	2	153	khan	khan	PROPN
ejpam-6324	2	154	29050	29050	NUM
ejpam-6324	2	155	,	,	PUNCT
ejpam-6324	2	156	kpk	kpk	PROPN
ejpam-6324	2	157	,	,	PUNCT
ejpam-6324	2	158	pakistan	pakistan	PROPN
ejpam-6324	2	159	abstract	abstract	NOUN
ejpam-6324	2	160	.	.	PUNCT
ejpam-6324	3	1	this	this	DET
ejpam-6324	3	2	study	study	NOUN
ejpam-6324	3	3	introduces	introduce	NOUN
ejpam-6324	3	4	and	and	CCONJ
ejpam-6324	3	5	explores	explore	VERB
ejpam-6324	3	6	the	the	DET
ejpam-6324	3	7	concepts	concept	NOUN
ejpam-6324	3	8	of	of	ADP
ejpam-6324	3	9	separation	separation	NOUN
ejpam-6324	3	10	axioms	axiom	NOUN
ejpam-6324	3	11	within	within	ADP
ejpam-6324	3	12	the	the	DET
ejpam-6324	3	13	framework	framework	NOUN
ejpam-6324	3	14	of	of	ADP
ejpam-6324	3	15	quadri	quadri	NOUN
ejpam-6324	3	16	-	-	PUNCT
ejpam-6324	3	17	partitioned	partition	VERB
ejpam-6324	3	18	neutrosophic	neutrosophic	ADJ
ejpam-6324	3	19	soft	soft	ADJ
ejpam-6324	3	20	topological	topological	ADJ
ejpam-6324	3	21	space	space	NOUN
ejpam-6324	3	22	(	(	PUNCT
ejpam-6324	3	23	qpnsts	qpnst	NOUN
ejpam-6324	3	24	)	)	PUNCT
ejpam-6324	3	25	.	.	PUNCT
ejpam-6324	4	1	these	these	DET
ejpam-6324	4	2	spaces	space	NOUN
ejpam-6324	4	3	are	be	AUX
ejpam-6324	4	4	an	an	DET
ejpam-6324	4	5	extension	extension	NOUN
ejpam-6324	4	6	of	of	ADP
ejpam-6324	4	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	4	8	soft	soft	ADJ
ejpam-6324	4	9	topological	topological	ADJ
ejpam-6324	4	10	structures	structure	NOUN
ejpam-6324	4	11	,	,	PUNCT
ejpam-6324	4	12	designed	design	VERB
ejpam-6324	4	13	to	to	PART
ejpam-6324	4	14	handle	handle	VERB
ejpam-6324	4	15	higher	high	ADJ
ejpam-6324	4	16	levels	level	NOUN
ejpam-6324	4	17	of	of	ADP
ejpam-6324	4	18	uncertainty	uncertainty	NOUN
ejpam-6324	4	19	through	through	ADP
ejpam-6324	4	20	quadri	quadri	NOUN
ejpam-6324	4	21	-	-	PUNCT
ejpam-6324	4	22	partitioned	partition	VERB
ejpam-6324	4	23	neutrosophic	neutrosophic	ADJ
ejpam-6324	4	24	soft	soft	ADJ
ejpam-6324	4	25	sets	set	NOUN
ejpam-6324	4	26	(	(	PUNCT
ejpam-6324	4	27	qpnss	qpnss	NOUN
ejpam-6324	4	28	)	)	PUNCT
ejpam-6324	4	29	.	.	PUNCT
ejpam-6324	5	1	we	we	PRON
ejpam-6324	5	2	presented	present	VERB
ejpam-6324	5	3	new	new	ADJ
ejpam-6324	5	4	definitions	definition	NOUN
ejpam-6324	5	5	and	and	CCONJ
ejpam-6324	5	6	properties	property	NOUN
ejpam-6324	5	7	of	of	ADP
ejpam-6324	5	8	ti−spaces(i	ti−spaces(i	NOUN
ejpam-6324	5	9	=	=	SYM
ejpam-6324	5	10	0	0	NUM
ejpam-6324	5	11	,	,	PUNCT
ejpam-6324	5	12	1	1	NUM
ejpam-6324	5	13	,	,	PUNCT
ejpam-6324	5	14	2	2	NUM
ejpam-6324	5	15	,	,	PUNCT
ejpam-6324	5	16	3	3	NUM
ejpam-6324	5	17	,	,	PUNCT
ejpam-6324	5	18	4	4	NUM
ejpam-6324	5	19	)	)	PUNCT
ejpam-6324	5	20	in	in	ADP
ejpam-6324	5	21	this	this	DET
ejpam-6324	5	22	extended	extended	ADJ
ejpam-6324	5	23	context	context	NOUN
ejpam-6324	5	24	,	,	PUNCT
ejpam-6324	5	25	offering	offer	VERB
ejpam-6324	5	26	detailed	detailed	ADJ
ejpam-6324	5	27	criteria	criterion	NOUN
ejpam-6324	5	28	that	that	PRON
ejpam-6324	5	29	distinguish	distinguish	VERB
ejpam-6324	5	30	these	these	DET
ejpam-6324	5	31	separation	separation	NOUN
ejpam-6324	5	32	conditions	condition	NOUN
ejpam-6324	5	33	.	.	PUNCT
ejpam-6324	6	1	through	through	ADP
ejpam-6324	6	2	a	a	DET
ejpam-6324	6	3	series	series	NOUN
ejpam-6324	6	4	of	of	ADP
ejpam-6324	6	5	illustrative	illustrative	ADJ
ejpam-6324	6	6	examples	example	NOUN
ejpam-6324	6	7	,	,	PUNCT
ejpam-6324	6	8	we	we	PRON
ejpam-6324	6	9	demonstrate	demonstrate	VERB
ejpam-6324	6	10	how	how	SCONJ
ejpam-6324	6	11	these	these	DET
ejpam-6324	6	12	conditions	condition	NOUN
ejpam-6324	6	13	behave	behave	VERB
ejpam-6324	6	14	and	and	CCONJ
ejpam-6324	6	15	interact	interact	VERB
ejpam-6324	6	16	within	within	ADP
ejpam-6324	6	17	the	the	DET
ejpam-6324	6	18	structure	structure	NOUN
ejpam-6324	6	19	of	of	ADP
ejpam-6324	6	20	qpnsts	qpnst	NOUN
ejpam-6324	6	21	.	.	PUNCT
ejpam-6324	7	1	the	the	DET
ejpam-6324	7	2	relationships	relationship	NOUN
ejpam-6324	7	3	among	among	ADP
ejpam-6324	7	4	these	these	DET
ejpam-6324	7	5	separation	separation	NOUN
ejpam-6324	7	6	axioms	axiom	NOUN
ejpam-6324	7	7	,	,	PUNCT
ejpam-6324	7	8	as	as	ADV
ejpam-6324	7	9	well	well	ADV
ejpam-6324	7	10	as	as	ADP
ejpam-6324	7	11	their	their	PRON
ejpam-6324	7	12	connections	connection	NOUN
ejpam-6324	7	13	to	to	ADP
ejpam-6324	7	14	other	other	ADJ
ejpam-6324	7	15	results	result	NOUN
ejpam-6324	7	16	,	,	PUNCT
ejpam-6324	7	17	are	be	AUX
ejpam-6324	7	18	also	also	ADV
ejpam-6324	7	19	discussed	discuss	VERB
ejpam-6324	7	20	.	.	PUNCT
ejpam-6324	8	1	2020	2020	NUM
ejpam-6324	8	2	mathematics	mathematic	NOUN
ejpam-6324	8	3	subject	subject	NOUN
ejpam-6324	8	4	classifications	classification	NOUN
ejpam-6324	8	5	:	:	PUNCT
ejpam-6324	8	6	54a05	54a05	NUM
ejpam-6324	8	7	key	key	ADJ
ejpam-6324	8	8	words	word	NOUN
ejpam-6324	8	9	and	and	CCONJ
ejpam-6324	8	10	phrases	phrase	NOUN
ejpam-6324	8	11	:	:	PUNCT
ejpam-6324	8	12	neutrosophic	neutrosophic	ADJ
ejpam-6324	8	13	soft	soft	ADJ
ejpam-6324	8	14	set	set	NOUN
ejpam-6324	8	15	,	,	PUNCT
ejpam-6324	8	16	quadri	quadri	NOUN
ejpam-6324	8	17	-	-	PUNCT
ejpam-6324	8	18	partitioned	partition	VERB
ejpam-6324	8	19	neutrosophic	neutrosophic	ADJ
ejpam-6324	8	20	soft	soft	ADJ
ejpam-6324	8	21	set	set	NOUN
ejpam-6324	8	22	,	,	PUNCT
ejpam-6324	8	23	quadri	quadri	NOUN
ejpam-6324	8	24	-	-	PUNCT
ejpam-6324	8	25	partitioned	partition	VERB
ejpam-6324	8	26	neutrosophic	neutrosophic	ADJ
ejpam-6324	8	27	soft	soft	ADJ
ejpam-6324	8	28	topological	topological	ADJ
ejpam-6324	8	29	space	space	NOUN
ejpam-6324	8	30	,	,	PUNCT
ejpam-6324	8	31	quadri	quadri	NOUN
ejpam-6324	8	32	-	-	PUNCT
ejpam-6324	8	33	partitioned	partition	VERB
ejpam-6324	8	34	neutrosophic	neutrosophic	ADJ
ejpam-6324	8	35	soft	soft	ADJ
ejpam-6324	8	36	separation	separation	NOUN
ejpam-6324	8	37	axioms	axiom	NOUN
ejpam-6324	8	38	.	.	PUNCT
ejpam-6324	9	1	∗corresponding	∗corresponde	VERB
ejpam-6324	9	2	author	author	NOUN
ejpam-6324	9	3	.	.	PUNCT
ejpam-6324	10	1	doi	doi	NOUN
ejpam-6324	10	2	:	:	PUNCT
ejpam-6324	10	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6324	https://doi.org/10.29020/nybg.ejpam.v18i3.6324	ADJ
ejpam-6324	10	4	email	email	NOUN
ejpam-6324	10	5	addresses	address	NOUN
ejpam-6324	10	6	:	:	PUNCT
ejpam-6324	10	7	(	(	PUNCT
ejpam-6324	10	8	mmmohammed@kau.edu.sa	mmmohammed@kau.edu.sa	NOUN
ejpam-6324	10	9	)	)	PUNCT
ejpam-6324	10	10	(	(	PUNCT
ejpam-6324	10	11	m.	m.	NOUN
ejpam-6324	10	12	m.	m.	PROPN
ejpam-6324	10	13	saeed	saeed	PROPN
ejpam-6324	10	14	)	)	PUNCT
ejpam-6324	10	15	,	,	PUNCT
ejpam-6324	10	16	(	(	PUNCT
ejpam-6324	10	17	raed@jadara.edu.jo	raed@jadara.edu.jo	NOUN
ejpam-6324	10	18	)	)	PUNCT
ejpam-6324	10	19	(	(	PUNCT
ejpam-6324	10	20	r.	r.	PROPN
ejpam-6324	10	21	hatamleh	hatamleh	PROPN
ejpam-6324	10	22	)	)	PUNCT
ejpam-6324	10	23	,	,	PUNCT
ejpam-6324	10	24	(	(	PUNCT
ejpam-6324	10	25	alaa.ali@nbu.edu.sa	alaa.ali@nbu.edu.sa	PROPN
ejpam-6324	10	26	)	)	PUNCT
ejpam-6324	10	27	(	(	PUNCT
ejpam-6324	10	28	a.	a.	NOUN
ejpam-6324	10	29	m.	m.	PROPN
ejpam-6324	10	30	abd	abd	PROPN
ejpam-6324	10	31	el	el	PROPN
ejpam-6324	10	32	-	-	PROPN
ejpam-6324	10	33	latif	latif	PROPN
ejpam-6324	10	34	)	)	PUNCT
ejpam-6324	10	35	,	,	PUNCT
ejpam-6324	10	36	(	(	PUNCT
ejpam-6324	10	37	dralhosban@inu.edu.jo	dralhosban@inu.edu.jo	NOUN
ejpam-6324	10	38	)	)	PUNCT
ejpam-6324	10	39	(	(	PUNCT
ejpam-6324	10	40	a.	a.	PROPN
ejpam-6324	10	41	al	al	PROPN
ejpam-6324	10	42	-	-	PUNCT
ejpam-6324	10	43	husban	husban	PROPN
ejpam-6324	10	44	)	)	PUNCT
ejpam-6324	10	45	,	,	PUNCT
ejpam-6324	10	46	takaaki.fujita060@gmail.com	takaaki.fujita060@gmail.com	X
ejpam-6324	10	47	(	(	PUNCT
ejpam-6324	10	48	t.	t.	PROPN
ejpam-6324	10	49	fujita	fujita	PROPN
ejpam-6324	10	50	)	)	PUNCT
ejpam-6324	10	51	,	,	PUNCT
ejpam-6324	10	52	(	(	PUNCT
ejpam-6324	10	53	cris.armada@hcmut.edu.vn	cris.armada@hcmut.edu.vn	NOUN
ejpam-6324	10	54	)	)	PUNCT
ejpam-6324	10	55	(	(	PUNCT
ejpam-6324	10	56	c.	c.	PROPN
ejpam-6324	10	57	l.	l.	PROPN
ejpam-6324	10	58	armada	armada	PROPN
ejpam-6324	10	59	)	)	PUNCT
ejpam-6324	10	60	,	,	PUNCT
ejpam-6324	10	61	(	(	PUNCT
ejpam-6324	10	62	andleebrabia03@gmail.com	andleebrabia03@gmail.com	PROPN
ejpam-6324	10	63	;	;	PUNCT
ejpam-6324	10	64	mehdaniyal@gmail.com	mehdaniyal@gmail.com	X
ejpam-6324	10	65	)	)	PUNCT
ejpam-6324	10	66	(	(	PUNCT
ejpam-6324	10	67	r.	r.	PROPN
ejpam-6324	10	68	andleeb	andleeb	PROPN
ejpam-6324	10	69	;	;	PUNCT
ejpam-6324	10	70	a.	a.	PROPN
ejpam-6324	10	71	mehmood	mehmood	PROPN
ejpam-6324	10	72	)	)	PUNCT
ejpam-6324	10	73	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6324	11	1	1	1	NUM
ejpam-6324	11	2	copyright	copyright	NOUN
ejpam-6324	11	3	:	:	PUNCT
ejpam-6324	11	4	©	©	PROPN
ejpam-6324	11	5	2025	2025	NUM
ejpam-6324	11	6	the	the	DET
ejpam-6324	11	7	author(s	author(s	NOUN
ejpam-6324	11	8	)	)	PUNCT
ejpam-6324	11	9	.	.	PUNCT
ejpam-6324	12	1	(	(	PUNCT
ejpam-6324	12	2	cc	cc	NOUN
ejpam-6324	12	3	by	by	ADP
ejpam-6324	12	4	-	-	PUNCT
ejpam-6324	12	5	nc	nc	PROPN
ejpam-6324	12	6	4.0	4.0	NUM
ejpam-6324	12	7	)	)	PUNCT
ejpam-6324	12	8	m.	m.	NOUN
ejpam-6324	12	9	m.	m.	PROPN
ejpam-6324	12	10	saeed	saeed	PROPN
ejpam-6324	12	11	et	et	PROPN
ejpam-6324	12	12	al	al	PROPN
ejpam-6324	12	13	.	.	PUNCT
ejpam-6324	12	14	/	/	SYM
ejpam-6324	12	15	eur	eur	PROPN
ejpam-6324	12	16	.	.	PUNCT
ejpam-6324	13	1	j.	j.	PROPN
ejpam-6324	13	2	pure	pure	PROPN
ejpam-6324	13	3	appl	appl	PROPN
ejpam-6324	13	4	.	.	PROPN
ejpam-6324	13	5	math	math	PROPN
ejpam-6324	13	6	,	,	PUNCT
ejpam-6324	13	7	18	18	NUM
ejpam-6324	13	8	(	(	PUNCT
ejpam-6324	13	9	3	3	NUM
ejpam-6324	13	10	)	)	PUNCT
ejpam-6324	13	11	(	(	PUNCT
ejpam-6324	13	12	2025	2025	NUM
ejpam-6324	13	13	)	)	PUNCT
ejpam-6324	13	14	,	,	PUNCT
ejpam-6324	13	15	6324	6324	NUM
ejpam-6324	13	16	2	2	NUM
ejpam-6324	13	17	of	of	ADP
ejpam-6324	13	18	25	25	NUM
ejpam-6324	13	19	1	1	NUM
ejpam-6324	13	20	.	.	PUNCT
ejpam-6324	14	1	introduction	introduction	NOUN
ejpam-6324	14	2	fuzzy	fuzzy	ADJ
ejpam-6324	14	3	set	set	NOUN
ejpam-6324	14	4	theory	theory	NOUN
ejpam-6324	14	5	(	(	PUNCT
ejpam-6324	14	6	fst	fst	NOUN
ejpam-6324	14	7	)	)	PUNCT
ejpam-6324	14	8	is	be	AUX
ejpam-6324	14	9	the	the	DET
ejpam-6324	14	10	extension	extension	NOUN
ejpam-6324	14	11	of	of	ADP
ejpam-6324	14	12	classical	classical	ADJ
ejpam-6324	14	13	crisp	crisp	ADJ
ejpam-6324	14	14	set	set	NOUN
ejpam-6324	14	15	theory	theory	NOUN
ejpam-6324	14	16	(	(	PUNCT
ejpam-6324	14	17	cst	cst	PROPN
ejpam-6324	14	18	)	)	PUNCT
ejpam-6324	14	19	into	into	ADP
ejpam-6324	14	20	a	a	DET
ejpam-6324	14	21	multivariate	multivariate	NOUN
ejpam-6324	14	22	form	form	NOUN
ejpam-6324	14	23	.	.	PUNCT
ejpam-6324	15	1	fuzzy	fuzzy	ADJ
ejpam-6324	15	2	approaches	approach	NOUN
ejpam-6324	15	3	have	have	VERB
ejpam-6324	15	4	several	several	ADJ
ejpam-6324	15	5	advantages	advantage	NOUN
ejpam-6324	15	6	over	over	ADP
ejpam-6324	15	7	the	the	DET
ejpam-6324	15	8	crisp	crisp	ADJ
ejpam-6324	15	9	ones	one	NOUN
ejpam-6324	15	10	:	:	PUNCT
ejpam-6324	15	11	the	the	DET
ejpam-6324	15	12	main	main	ADJ
ejpam-6324	15	13	one	one	NUM
ejpam-6324	15	14	being	be	AUX
ejpam-6324	15	15	that	that	SCONJ
ejpam-6324	15	16	they	they	PRON
ejpam-6324	15	17	have	have	VERB
ejpam-6324	15	18	more	more	ADJ
ejpam-6324	15	19	flexible	flexible	ADJ
ejpam-6324	15	20	decision	decision	NOUN
ejpam-6324	15	21	frontiers	frontier	NOUN
ejpam-6324	15	22	,	,	PUNCT
ejpam-6324	15	23	and	and	CCONJ
ejpam-6324	15	24	thus	thus	ADV
ejpam-6324	15	25	are	be	AUX
ejpam-6324	15	26	characterized	characterize	VERB
ejpam-6324	15	27	by	by	ADP
ejpam-6324	15	28	their	their	PRON
ejpam-6324	15	29	higher	high	ADJ
ejpam-6324	15	30	ability	ability	NOUN
ejpam-6324	15	31	to	to	PART
ejpam-6324	15	32	adjust	adjust	VERB
ejpam-6324	15	33	a	a	DET
ejpam-6324	15	34	specific	specific	ADJ
ejpam-6324	15	35	domain	domain	NOUN
ejpam-6324	15	36	of	of	ADP
ejpam-6324	15	37	application	application	NOUN
ejpam-6324	15	38	.	.	PUNCT
ejpam-6324	16	1	the	the	DET
ejpam-6324	16	2	classical	classical	ADJ
ejpam-6324	16	3	cst	cst	PROPN
ejpam-6324	16	4	has	have	VERB
ejpam-6324	16	5	sharp	sharp	ADJ
ejpam-6324	16	6	frontiers	frontier	NOUN
ejpam-6324	16	7	.	.	PUNCT
ejpam-6324	17	1	in	in	ADP
ejpam-6324	17	2	classical	classical	ADJ
ejpam-6324	17	3	cst	cst	PROPN
ejpam-6324	17	4	,	,	PUNCT
ejpam-6324	17	5	the	the	DET
ejpam-6324	17	6	numerical	numerical	ADJ
ejpam-6324	17	7	value	value	NOUN
ejpam-6324	17	8	1	1	NUM
ejpam-6324	17	9	is	be	AUX
ejpam-6324	17	10	assigned	assign	VERB
ejpam-6324	17	11	to	to	ADP
ejpam-6324	17	12	the	the	DET
ejpam-6324	17	13	truth	truth	NOUN
ejpam-6324	17	14	value	value	NOUN
ejpam-6324	17	15	(	(	PUNCT
ejpam-6324	17	16	t	t	PROPN
ejpam-6324	17	17	)	)	PUNCT
ejpam-6324	17	18	and	and	CCONJ
ejpam-6324	17	19	0	0	NUM
ejpam-6324	17	20	is	be	AUX
ejpam-6324	17	21	assigned	assign	VERB
ejpam-6324	17	22	to	to	PART
ejpam-6324	17	23	be	be	AUX
ejpam-6324	17	24	the	the	DET
ejpam-6324	17	25	false	false	ADJ
ejpam-6324	17	26	value	value	NOUN
ejpam-6324	17	27	(	(	PUNCT
ejpam-6324	17	28	f	f	PROPN
ejpam-6324	17	29	)	)	PUNCT
ejpam-6324	17	30	.	.	PUNCT
ejpam-6324	18	1	with	with	ADP
ejpam-6324	18	2	the	the	DET
ejpam-6324	18	3	passage	passage	NOUN
ejpam-6324	18	4	of	of	ADP
ejpam-6324	18	5	time	time	NOUN
ejpam-6324	18	6	,	,	PUNCT
ejpam-6324	18	7	the	the	DET
ejpam-6324	18	8	notion	notion	NOUN
ejpam-6324	18	9	of	of	ADP
ejpam-6324	18	10	classical	classical	ADJ
ejpam-6324	18	11	cst	cst	PROPN
ejpam-6324	18	12	was	be	AUX
ejpam-6324	18	13	modified	modify	VERB
ejpam-6324	18	14	with	with	ADP
ejpam-6324	18	15	the	the	DET
ejpam-6324	18	16	exhibition	exhibition	NOUN
ejpam-6324	18	17	of	of	ADP
ejpam-6324	18	18	fuzzy	fuzzy	ADJ
ejpam-6324	18	19	logic	logic	NOUN
ejpam-6324	18	20	(	(	PUNCT
ejpam-6324	18	21	fl	fl	NOUN
ejpam-6324	18	22	)	)	PUNCT
ejpam-6324	18	23	by	by	ADP
ejpam-6324	18	24	zadeh	zadeh	PROPN
ejpam-6324	19	1	[	[	X
ejpam-6324	19	2	1	1	NUM
ejpam-6324	19	3	]	]	PUNCT
ejpam-6324	19	4	.	.	PUNCT
ejpam-6324	20	1	in	in	ADP
ejpam-6324	20	2	case	case	NOUN
ejpam-6324	20	3	of	of	ADP
ejpam-6324	20	4	fl	fl	NOUN
ejpam-6324	20	5	,	,	PUNCT
ejpam-6324	20	6	there	there	PRON
ejpam-6324	20	7	is	be	VERB
ejpam-6324	20	8	no	no	DET
ejpam-6324	20	9	limit	limit	NOUN
ejpam-6324	20	10	over	over	ADP
ejpam-6324	20	11	t	t	PROPN
ejpam-6324	20	12	and	and	CCONJ
ejpam-6324	20	13	f	f	PROPN
ejpam-6324	20	14	as	as	ADV
ejpam-6324	20	15	well	well	ADV
ejpam-6324	20	16	.	.	PUNCT
ejpam-6324	21	1	it	it	PRON
ejpam-6324	21	2	could	could	AUX
ejpam-6324	21	3	suppose	suppose	VERB
ejpam-6324	21	4	exactly	exactly	ADV
ejpam-6324	21	5	some	some	DET
ejpam-6324	21	6	fixed	fix	VERB
ejpam-6324	21	7	values	value	NOUN
ejpam-6324	21	8	over	over	ADP
ejpam-6324	21	9	[	[	X
ejpam-6324	21	10	0,1	0,1	NUM
ejpam-6324	21	11	]	]	PUNCT
ejpam-6324	21	12	.	.	PUNCT
ejpam-6324	22	1	pawlak	pawlak	ADJ
ejpam-6324	22	2	[	[	X
ejpam-6324	22	3	2	2	NUM
ejpam-6324	22	4	]	]	PUNCT
ejpam-6324	22	5	introduced	introduce	VERB
ejpam-6324	22	6	rough	rough	ADJ
ejpam-6324	22	7	set	set	NOUN
ejpam-6324	22	8	theory	theory	NOUN
ejpam-6324	22	9	(	(	PUNCT
ejpam-6324	22	10	rst	rst	PROPN
ejpam-6324	22	11	)	)	PUNCT
ejpam-6324	22	12	.	.	PUNCT
ejpam-6324	23	1	after	after	ADP
ejpam-6324	23	2	that	that	DET
ejpam-6324	23	3	atanassov	atanassov	NOUN
ejpam-6324	23	4	[	[	X
ejpam-6324	23	5	3	3	NUM
ejpam-6324	23	6	]	]	PUNCT
ejpam-6324	23	7	exhibited	exhibit	VERB
ejpam-6324	23	8	the	the	DET
ejpam-6324	23	9	notion	notion	NOUN
ejpam-6324	23	10	of	of	ADP
ejpam-6324	23	11	intuitionistic	intuitionistic	ADJ
ejpam-6324	23	12	fuzzy	fuzzy	ADJ
ejpam-6324	23	13	set	set	NOUN
ejpam-6324	23	14	theory	theory	NOUN
ejpam-6324	23	15	(	(	PUNCT
ejpam-6324	23	16	ifst	ifst	NOUN
ejpam-6324	23	17	)	)	PUNCT
ejpam-6324	23	18	.	.	PUNCT
ejpam-6324	24	1	this	this	DET
ejpam-6324	24	2	theory	theory	NOUN
ejpam-6324	24	3	is	be	AUX
ejpam-6324	24	4	actually	actually	ADV
ejpam-6324	24	5	the	the	DET
ejpam-6324	24	6	rectification	rectification	NOUN
ejpam-6324	24	7	of	of	ADP
ejpam-6324	24	8	fst	fst	NOUN
ejpam-6324	24	9	.	.	PUNCT
ejpam-6324	25	1	in	in	ADP
ejpam-6324	25	2	this	this	DET
ejpam-6324	25	3	theory	theory	NOUN
ejpam-6324	25	4	,	,	PUNCT
ejpam-6324	25	5	the	the	DET
ejpam-6324	25	6	non	non	ADJ
ejpam-6324	25	7	-	-	ADJ
ejpam-6324	25	8	membership	membership	ADJ
ejpam-6324	25	9	function	function	NOUN
ejpam-6324	25	10	was	be	AUX
ejpam-6324	25	11	developed	develop	VERB
ejpam-6324	25	12	to	to	PART
ejpam-6324	25	13	address	address	VERB
ejpam-6324	25	14	the	the	DET
ejpam-6324	25	15	short	short	ADV
ejpam-6324	25	16	-	-	PUNCT
ejpam-6324	25	17	coming	coming	NOUN
ejpam-6324	25	18	that	that	PRON
ejpam-6324	25	19	exists	exist	VERB
ejpam-6324	25	20	in	in	ADP
ejpam-6324	25	21	fst	fst	NOUN
ejpam-6324	25	22	.	.	PUNCT
ejpam-6324	26	1	the	the	DET
ejpam-6324	26	2	author	author	NOUN
ejpam-6324	26	3	presented	present	VERB
ejpam-6324	26	4	all	all	DET
ejpam-6324	26	5	the	the	DET
ejpam-6324	26	6	fundamental	fundamental	ADJ
ejpam-6324	26	7	operations	operation	NOUN
ejpam-6324	26	8	of	of	ADP
ejpam-6324	26	9	this	this	DET
ejpam-6324	26	10	theory	theory	NOUN
ejpam-6324	26	11	and	and	CCONJ
ejpam-6324	26	12	to	to	PART
ejpam-6324	26	13	make	make	VERB
ejpam-6324	26	14	it	it	PRON
ejpam-6324	26	15	more	more	ADV
ejpam-6324	26	16	attractive	attractive	ADJ
ejpam-6324	26	17	and	and	CCONJ
ejpam-6324	26	18	suitable	suitable	ADJ
ejpam-6324	26	19	,	,	PUNCT
ejpam-6324	26	20	examples	example	NOUN
ejpam-6324	26	21	were	be	AUX
ejpam-6324	26	22	presented	present	VERB
ejpam-6324	26	23	.	.	PUNCT
ejpam-6324	27	1	soft	soft	ADJ
ejpam-6324	27	2	set	set	ADJ
ejpam-6324	27	3	theory	theory	NOUN
ejpam-6324	27	4	(	(	PUNCT
ejpam-6324	27	5	sst	sst	NOUN
ejpam-6324	27	6	)	)	PUNCT
ejpam-6324	27	7	is	be	AUX
ejpam-6324	27	8	supposed	suppose	VERB
ejpam-6324	27	9	to	to	PART
ejpam-6324	27	10	be	be	AUX
ejpam-6324	27	11	the	the	DET
ejpam-6324	27	12	starting	starting	NOUN
ejpam-6324	27	13	point	point	NOUN
ejpam-6324	27	14	of	of	ADP
ejpam-6324	27	15	advanced	advanced	ADJ
ejpam-6324	27	16	mathematics	mathematic	NOUN
ejpam-6324	27	17	.	.	PUNCT
ejpam-6324	28	1	this	this	DET
ejpam-6324	28	2	theory	theory	NOUN
ejpam-6324	28	3	is	be	AUX
ejpam-6324	28	4	used	use	VERB
ejpam-6324	28	5	to	to	PART
ejpam-6324	28	6	reduce	reduce	VERB
ejpam-6324	28	7	the	the	DET
ejpam-6324	28	8	error	error	NOUN
ejpam-6324	28	9	that	that	PRON
ejpam-6324	28	10	exists	exist	VERB
ejpam-6324	28	11	in	in	ADP
ejpam-6324	28	12	the	the	DET
ejpam-6324	28	13	above	above	ADJ
ejpam-6324	28	14	discussed	discuss	VERB
ejpam-6324	28	15	theories	theory	NOUN
ejpam-6324	28	16	.	.	PUNCT
ejpam-6324	29	1	in	in	ADP
ejpam-6324	29	2	this	this	DET
ejpam-6324	29	3	direction	direction	NOUN
ejpam-6324	29	4	,	,	PUNCT
ejpam-6324	29	5	first	first	ADV
ejpam-6324	29	6	forwarded	forwarded	ADJ
ejpam-6324	29	7	mathematician	mathematician	NOUN
ejpam-6324	29	8	was	be	AUX
ejpam-6324	29	9	molodtsov	molodtsov	NOUN
ejpam-6324	29	10	[	[	X
ejpam-6324	29	11	4	4	NUM
ejpam-6324	29	12	]	]	PUNCT
ejpam-6324	29	13	.	.	PUNCT
ejpam-6324	30	1	maji	maji	PROPN
ejpam-6324	30	2	et	et	PROPN
ejpam-6324	30	3	al	al	PROPN
ejpam-6324	30	4	.	.	PUNCT
ejpam-6324	31	1	[	[	X
ejpam-6324	31	2	5	5	NUM
ejpam-6324	31	3	]	]	PUNCT
ejpam-6324	31	4	studied	study	VERB
ejpam-6324	31	5	the	the	DET
ejpam-6324	31	6	theory	theory	NOUN
ejpam-6324	31	7	of	of	ADP
ejpam-6324	31	8	soft	soft	ADJ
ejpam-6324	31	9	sets	set	NOUN
ejpam-6324	31	10	initiated	initiate	VERB
ejpam-6324	31	11	by	by	ADP
ejpam-6324	31	12	molodtsov	molodtsov	NOUN
ejpam-6324	31	13	.	.	PUNCT
ejpam-6324	32	1	the	the	DET
ejpam-6324	32	2	authors	author	NOUN
ejpam-6324	32	3	defined	define	VERB
ejpam-6324	32	4	,	,	PUNCT
ejpam-6324	32	5	some	some	DET
ejpam-6324	32	6	operations	operation	NOUN
ejpam-6324	32	7	,	,	PUNCT
ejpam-6324	32	8	which	which	PRON
ejpam-6324	32	9	are	be	AUX
ejpam-6324	32	10	equality	equality	NOUN
ejpam-6324	32	11	of	of	ADP
ejpam-6324	32	12	two	two	NUM
ejpam-6324	32	13	soft	soft	ADJ
ejpam-6324	32	14	sets	set	NOUN
ejpam-6324	32	15	,	,	PUNCT
ejpam-6324	32	16	subsets	subset	NOUN
ejpam-6324	32	17	and	and	CCONJ
ejpam-6324	32	18	super	super	ADJ
ejpam-6324	32	19	set	set	NOUN
ejpam-6324	32	20	of	of	ADP
ejpam-6324	32	21	a	a	DET
ejpam-6324	32	22	soft	soft	ADJ
ejpam-6324	32	23	set	set	NOUN
ejpam-6324	32	24	,	,	PUNCT
ejpam-6324	32	25	complements	complement	NOUN
ejpam-6324	32	26	of	of	ADP
ejpam-6324	32	27	a	a	DET
ejpam-6324	32	28	soft	soft	ADJ
ejpam-6324	32	29	set	set	NOUN
ejpam-6324	32	30	,	,	PUNCT
ejpam-6324	32	31	null	null	ADJ
ejpam-6324	32	32	soft	soft	ADJ
ejpam-6324	32	33	set	set	NOUN
ejpam-6324	32	34	,	,	PUNCT
ejpam-6324	32	35	and	and	CCONJ
ejpam-6324	32	36	absolute	absolute	ADJ
ejpam-6324	32	37	soft	soft	ADJ
ejpam-6324	32	38	set	set	NOUN
ejpam-6324	32	39	with	with	ADP
ejpam-6324	32	40	examples	example	NOUN
ejpam-6324	32	41	.	.	PUNCT
ejpam-6324	33	1	soft	soft	ADJ
ejpam-6324	33	2	binary	binary	ADJ
ejpam-6324	33	3	operations	operation	NOUN
ejpam-6324	33	4	like	like	ADP
ejpam-6324	33	5	and	and	CCONJ
ejpam-6324	33	6	,	,	PUNCT
ejpam-6324	33	7	or	or	CCONJ
ejpam-6324	33	8	and	and	CCONJ
ejpam-6324	33	9	the	the	DET
ejpam-6324	33	10	operations	operation	NOUN
ejpam-6324	33	11	of	of	ADP
ejpam-6324	33	12	union	union	NOUN
ejpam-6324	33	13	,	,	PUNCT
ejpam-6324	33	14	intersection	intersection	NOUN
ejpam-6324	33	15	and	and	CCONJ
ejpam-6324	33	16	de	de	ADP
ejpam-6324	33	17	morgen	morgen	PROPN
ejpam-6324	33	18	s	s	PART
ejpam-6324	33	19	laws	law	NOUN
ejpam-6324	33	20	are	be	AUX
ejpam-6324	33	21	defined	define	VERB
ejpam-6324	33	22	.	.	PUNCT
ejpam-6324	34	1	finally	finally	ADV
ejpam-6324	34	2	,	,	PUNCT
ejpam-6324	34	3	number	number	NOUN
ejpam-6324	34	4	of	of	ADP
ejpam-6324	34	5	results	result	NOUN
ejpam-6324	34	6	is	be	AUX
ejpam-6324	34	7	verified	verify	VERB
ejpam-6324	34	8	in	in	ADP
ejpam-6324	34	9	soft	soft	ADJ
ejpam-6324	34	10	set	set	NOUN
ejpam-6324	34	11	theory	theory	NOUN
ejpam-6324	34	12	.	.	PUNCT
ejpam-6324	35	1	yang	yang	PROPN
ejpam-6324	35	2	,	,	PUNCT
ejpam-6324	35	3	deeply	deeply	ADV
ejpam-6324	35	4	studied	study	VERB
ejpam-6324	35	5	[	[	X
ejpam-6324	35	6	5	5	NUM
ejpam-6324	35	7	]	]	PUNCT
ejpam-6324	35	8	and	and	CCONJ
ejpam-6324	35	9	pointed	point	VERB
ejpam-6324	35	10	out	out	ADP
ejpam-6324	35	11	that	that	SCONJ
ejpam-6324	35	12	the	the	DET
ejpam-6324	35	13	assertion	assertion	NOUN
ejpam-6324	35	14	(	(	PUNCT
ejpam-6324	35	15	f	f	X
ejpam-6324	35	16	,	,	PUNCT
ejpam-6324	35	17	a	a	PRON
ejpam-6324	35	18	)	)	PUNCT
ejpam-6324	35	19	∪	∪	NOUN
ejpam-6324	35	20	ϕ	ϕ	NOUN
ejpam-6324	35	21	=	=	SYM
ejpam-6324	35	22	ϕ	ϕ	PROPN
ejpam-6324	35	23	needed	need	VERB
ejpam-6324	35	24	some	some	DET
ejpam-6324	35	25	sort	sort	NOUN
ejpam-6324	35	26	of	of	ADP
ejpam-6324	35	27	attention	attention	NOUN
ejpam-6324	35	28	and	and	CCONJ
ejpam-6324	35	29	finally	finally	ADV
ejpam-6324	35	30	showed	show	VERB
ejpam-6324	35	31	that	that	SCONJ
ejpam-6324	35	32	this	this	DET
ejpam-6324	35	33	assertion	assertion	NOUN
ejpam-6324	35	34	is	be	AUX
ejpam-6324	35	35	absolutely	absolutely	ADV
ejpam-6324	35	36	wrong	wrong	ADJ
ejpam-6324	35	37	by	by	ADP
ejpam-6324	35	38	posing	pose	VERB
ejpam-6324	35	39	counterexample	counterexample	NOUN
ejpam-6324	35	40	[	[	X
ejpam-6324	35	41	6	6	NUM
ejpam-6324	35	42	]	]	PUNCT
ejpam-6324	35	43	.	.	PUNCT
ejpam-6324	36	1	maji	maji	PROPN
ejpam-6324	36	2	[	[	X
ejpam-6324	36	3	7	7	X
ejpam-6324	36	4	]	]	PUNCT
ejpam-6324	36	5	introduced	introduce	VERB
ejpam-6324	36	6	hybrid	hybrid	NOUN
ejpam-6324	36	7	set	set	NOUN
ejpam-6324	36	8	which	which	PRON
ejpam-6324	36	9	is	be	AUX
ejpam-6324	36	10	known	know	VERB
ejpam-6324	36	11	as	as	ADP
ejpam-6324	36	12	neutrosophic	neutrosophic	ADJ
ejpam-6324	36	13	soft	soft	ADJ
ejpam-6324	36	14	set	set	NOUN
ejpam-6324	36	15	and	and	CCONJ
ejpam-6324	36	16	defined	define	VERB
ejpam-6324	36	17	some	some	DET
ejpam-6324	36	18	definitions	definition	NOUN
ejpam-6324	36	19	and	and	CCONJ
ejpam-6324	36	20	operations	operation	NOUN
ejpam-6324	36	21	.	.	PUNCT
ejpam-6324	37	1	few	few	ADJ
ejpam-6324	37	2	characteristics	characteristic	NOUN
ejpam-6324	37	3	of	of	ADP
ejpam-6324	37	4	this	this	DET
ejpam-6324	37	5	hybrid	hybrid	NOUN
ejpam-6324	37	6	are	be	AUX
ejpam-6324	37	7	exposed	expose	VERB
ejpam-6324	37	8	.	.	PUNCT
ejpam-6324	38	1	deli	deli	NOUN
ejpam-6324	38	2	and	and	CCONJ
ejpam-6324	38	3	broumi	broumi	NOUN
ejpam-6324	39	1	[	[	X
ejpam-6324	39	2	8	8	NUM
ejpam-6324	39	3	]	]	SYM
ejpam-6324	39	4	defined	define	VERB
ejpam-6324	39	5	relation	relation	NOUN
ejpam-6324	39	6	on	on	ADP
ejpam-6324	39	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	39	8	soft	soft	ADJ
ejpam-6324	39	9	sets	set	NOUN
ejpam-6324	39	10	,	,	PUNCT
ejpam-6324	39	11	which	which	PRON
ejpam-6324	39	12	show	show	VERB
ejpam-6324	39	13	how	how	SCONJ
ejpam-6324	39	14	two	two	NUM
ejpam-6324	39	15	neutrosophic	neutrosophic	ADJ
ejpam-6324	39	16	soft	soft	ADJ
ejpam-6324	39	17	sets	set	NOUN
ejpam-6324	39	18	are	be	AUX
ejpam-6324	39	19	to	to	PART
ejpam-6324	39	20	be	be	AUX
ejpam-6324	39	21	composed	compose	VERB
ejpam-6324	39	22	.	.	PUNCT
ejpam-6324	40	1	the	the	DET
ejpam-6324	40	2	authors	author	NOUN
ejpam-6324	40	3	discussed	discuss	VERB
ejpam-6324	40	4	symmetric	symmetric	ADJ
ejpam-6324	40	5	,	,	PUNCT
ejpam-6324	40	6	transitive	transitive	ADJ
ejpam-6324	40	7	and	and	CCONJ
ejpam-6324	40	8	reflexive	reflexive	ADJ
ejpam-6324	40	9	relations	relation	NOUN
ejpam-6324	40	10	in	in	ADP
ejpam-6324	40	11	sense	sense	NOUN
ejpam-6324	40	12	of	of	ADP
ejpam-6324	40	13	neutrosophic	neutrosophic	ADJ
ejpam-6324	40	14	soft	soft	ADJ
ejpam-6324	40	15	sets	set	NOUN
ejpam-6324	40	16	.	.	PUNCT
ejpam-6324	41	1	the	the	DET
ejpam-6324	41	2	concept	concept	NOUN
ejpam-6324	41	3	of	of	ADP
ejpam-6324	41	4	equivalency	equivalency	NOUN
ejpam-6324	41	5	,	,	PUNCT
ejpam-6324	41	6	partition	partition	NOUN
ejpam-6324	41	7	,	,	PUNCT
ejpam-6324	41	8	equivalence	equivalence	NOUN
ejpam-6324	41	9	classes	class	NOUN
ejpam-6324	41	10	and	and	CCONJ
ejpam-6324	41	11	quotient	quotient	NOUN
ejpam-6324	41	12	is	be	AUX
ejpam-6324	41	13	installed	instal	VERB
ejpam-6324	41	14	in	in	ADP
ejpam-6324	41	15	terms	term	NOUN
ejpam-6324	41	16	of	of	ADP
ejpam-6324	41	17	neutrosophic	neutrosophic	ADJ
ejpam-6324	41	18	soft	soft	ADJ
ejpam-6324	41	19	sets	set	NOUN
ejpam-6324	41	20	.	.	PUNCT
ejpam-6324	42	1	irfan	irfan	PROPN
ejpam-6324	42	2	et	et	PROPN
ejpam-6324	42	3	al	al	PROPN
ejpam-6324	42	4	.	.	PROPN
ejpam-6324	42	5	pointed	point	VERB
ejpam-6324	42	6	out	out	ADP
ejpam-6324	42	7	some	some	DET
ejpam-6324	42	8	results	result	NOUN
ejpam-6324	42	9	in	in	ADP
ejpam-6324	42	10	[	[	X
ejpam-6324	42	11	5	5	NUM
ejpam-6324	42	12	]	]	PUNCT
ejpam-6324	42	13	that	that	PRON
ejpam-6324	42	14	are	be	AUX
ejpam-6324	42	15	not	not	PART
ejpam-6324	42	16	true	true	ADJ
ejpam-6324	42	17	in	in	ADP
ejpam-6324	42	18	general	general	ADJ
ejpam-6324	42	19	.	.	PUNCT
ejpam-6324	43	1	this	this	DET
ejpam-6324	43	2	issue	issue	NOUN
ejpam-6324	43	3	was	be	AUX
ejpam-6324	43	4	addressed	address	VERB
ejpam-6324	43	5	by	by	ADP
ejpam-6324	43	6	irfan	irfan	PROPN
ejpam-6324	43	7	et	et	PROPN
ejpam-6324	43	8	al	al	PROPN
ejpam-6324	43	9	.	.	PUNCT
ejpam-6324	44	1	in	in	ADP
ejpam-6324	44	2	[	[	X
ejpam-6324	44	3	9	9	NUM
ejpam-6324	44	4	]	]	PUNCT
ejpam-6324	44	5	by	by	ADP
ejpam-6324	44	6	constructing	construct	VERB
ejpam-6324	44	7	suitable	suitable	ADJ
ejpam-6324	44	8	counter	counter	ADJ
ejpam-6324	44	9	example	example	NOUN
ejpam-6324	44	10	.	.	PUNCT
ejpam-6324	45	1	shao	shao	PROPN
ejpam-6324	45	2	and	and	CCONJ
ejpam-6324	45	3	qin	qin	X
ejpam-6324	46	1	[	[	X
ejpam-6324	46	2	10	10	NUM
ejpam-6324	46	3	]	]	SYM
ejpam-6324	46	4	defined	define	VERB
ejpam-6324	46	5	fuzzy	fuzzy	ADJ
ejpam-6324	46	6	soft	soft	ADJ
ejpam-6324	46	7	lattice	lattice	NOUN
ejpam-6324	46	8	and	and	CCONJ
ejpam-6324	46	9	some	some	DET
ejpam-6324	46	10	related	relate	VERB
ejpam-6324	46	11	properties	property	NOUN
ejpam-6324	46	12	are	be	AUX
ejpam-6324	46	13	derived	derive	VERB
ejpam-6324	46	14	,	,	PUNCT
ejpam-6324	46	15	which	which	PRON
ejpam-6324	46	16	extends	extend	VERB
ejpam-6324	46	17	the	the	DET
ejpam-6324	46	18	notion	notion	NOUN
ejpam-6324	46	19	of	of	ADP
ejpam-6324	46	20	fuzzy	fuzzy	ADJ
ejpam-6324	46	21	lattice	lattice	NOUN
ejpam-6324	46	22	to	to	PART
ejpam-6324	46	23	catch	catch	VERB
ejpam-6324	46	24	the	the	DET
ejpam-6324	46	25	algebraic	algebraic	ADJ
ejpam-6324	46	26	structures	structure	NOUN
ejpam-6324	46	27	of	of	ADP
ejpam-6324	46	28	soft	soft	ADJ
ejpam-6324	46	29	sets	set	NOUN
ejpam-6324	46	30	.	.	PUNCT
ejpam-6324	47	1	the	the	DET
ejpam-6324	47	2	concept	concept	NOUN
ejpam-6324	47	3	of	of	ADP
ejpam-6324	47	4	fuzzy	fuzzy	ADJ
ejpam-6324	47	5	soft	soft	ADJ
ejpam-6324	47	6	ideal	ideal	NOUN
ejpam-6324	47	7	over	over	ADP
ejpam-6324	47	8	a	a	DET
ejpam-6324	47	9	lattice	lattice	NOUN
ejpam-6324	47	10	is	be	AUX
ejpam-6324	47	11	presented	present	VERB
ejpam-6324	47	12	and	and	CCONJ
ejpam-6324	47	13	the	the	DET
ejpam-6324	47	14	lattice	lattice	NOUN
ejpam-6324	47	15	structures	structure	NOUN
ejpam-6324	47	16	of	of	ADP
ejpam-6324	47	17	fuzzy	fuzzy	ADJ
ejpam-6324	47	18	soft	soft	ADJ
ejpam-6324	47	19	ideal	ideal	NOUN
ejpam-6324	47	20	over	over	ADP
ejpam-6324	47	21	a	a	DET
ejpam-6324	47	22	lattice	lattice	NOUN
ejpam-6324	47	23	are	be	AUX
ejpam-6324	47	24	discussed	discuss	VERB
ejpam-6324	47	25	.	.	PUNCT
ejpam-6324	48	1	abbas	abbas	PROPN
ejpam-6324	48	2	et	et	PROPN
ejpam-6324	48	3	al	al	PROPN
ejpam-6324	48	4	.	.	PUNCT
ejpam-6324	49	1	[	[	X
ejpam-6324	49	2	11	11	NUM
ejpam-6324	49	3	]	]	X
ejpam-6324	49	4	relaxed	relaxed	ADJ
ejpam-6324	49	5	conditions	condition	NOUN
ejpam-6324	49	6	on	on	ADP
ejpam-6324	49	7	parameters	parameter	NOUN
ejpam-6324	49	8	which	which	PRON
ejpam-6324	49	9	lead	lead	VERB
ejpam-6324	49	10	them	they	PRON
ejpam-6324	49	11	to	to	PART
ejpam-6324	49	12	propose	propose	VERB
ejpam-6324	49	13	some	some	DET
ejpam-6324	49	14	new	new	ADJ
ejpam-6324	49	15	concepts	concept	NOUN
ejpam-6324	49	16	that	that	PRON
ejpam-6324	49	17	consequently	consequently	ADV
ejpam-6324	49	18	generalize	generalize	VERB
ejpam-6324	49	19	existing	exist	VERB
ejpam-6324	49	20	comparable	comparable	ADJ
ejpam-6324	49	21	notions	notion	NOUN
ejpam-6324	49	22	.	.	PUNCT
ejpam-6324	50	1	the	the	DET
ejpam-6324	50	2	authors	author	NOUN
ejpam-6324	50	3	introduced	introduce	VERB
ejpam-6324	50	4	the	the	DET
ejpam-6324	50	5	concepts	concept	NOUN
ejpam-6324	50	6	of	of	ADP
ejpam-6324	50	7	generalized	generalized	ADJ
ejpam-6324	50	8	finite	finite	ADJ
ejpam-6324	50	9	soft	soft	ADJ
ejpam-6324	50	10	equality	equality	NOUN
ejpam-6324	50	11	(	(	PUNCT
ejpam-6324	50	12	gf	gf	NOUN
ejpam-6324	50	13	-	-	PUNCT
ejpam-6324	50	14	soft	soft	ADJ
ejpam-6324	50	15	equality	equality	NOUN
ejpam-6324	50	16	)	)	PUNCT
ejpam-6324	50	17	,	,	PUNCT
ejpam-6324	50	18	generalized	generalize	VERB
ejpam-6324	50	19	finite	finite	PROPN
ejpam-6324	50	20	soft	soft	ADJ
ejpam-6324	50	21	union	union	NOUN
ejpam-6324	50	22	(	(	PUNCT
ejpam-6324	50	23	gf	gf	NOUN
ejpam-6324	50	24	-	-	PUNCT
ejpam-6324	50	25	soft	soft	ADJ
ejpam-6324	50	26	union	union	NOUN
ejpam-6324	50	27	)	)	PUNCT
ejpam-6324	50	28	and	and	CCONJ
ejpam-6324	50	29	generalized	generalize	VERB
ejpam-6324	50	30	finite	finite	ADJ
ejpam-6324	50	31	soft	soft	ADJ
ejpam-6324	50	32	intersection	intersection	NOUN
ejpam-6324	50	33	(	(	PUNCT
ejpam-6324	50	34	gf	gf	NOUN
ejpam-6324	50	35	-	-	PUNCT
ejpam-6324	50	36	soft	soft	ADJ
ejpam-6324	50	37	intersection	intersection	NOUN
ejpam-6324	50	38	)	)	PUNCT
ejpam-6324	50	39	of	of	ADP
ejpam-6324	50	40	two	two	NUM
ejpam-6324	50	41	soft	soft	ADJ
ejpam-6324	50	42	sets	set	NOUN
ejpam-6324	50	43	.	.	PUNCT
ejpam-6324	51	1	al	al	PROPN
ejpam-6324	51	2	-	-	PUNCT
ejpam-6324	51	3	shami	shami	PROPN
ejpam-6324	51	4	et	et	PROPN
ejpam-6324	51	5	al	al	PROPN
ejpam-6324	51	6	.	.	PUNCT
ejpam-6324	52	1	[	[	X
ejpam-6324	52	2	12	12	NUM
ejpam-6324	52	3	]	]	PUNCT
ejpam-6324	52	4	initiated	initiate	VERB
ejpam-6324	52	5	the	the	DET
ejpam-6324	52	6	concept	concept	NOUN
ejpam-6324	52	7	of	of	ADP
ejpam-6324	52	8	almost	almost	ADV
ejpam-6324	52	9	soft	soft	ADJ
ejpam-6324	52	10	compact	compact	ADJ
ejpam-6324	52	11	,	,	PUNCT
ejpam-6324	52	12	approximately	approximately	ADV
ejpam-6324	52	13	soft	soft	ADJ
ejpam-6324	52	14	lindelof	lindelof	NOUN
ejpam-6324	52	15	and	and	CCONJ
ejpam-6324	52	16	mildly	mildly	ADV
ejpam-6324	52	17	soft	soft	ADJ
ejpam-6324	52	18	compact	compact	ADJ
ejpam-6324	52	19	spaces	space	NOUN
ejpam-6324	52	20	.	.	PUNCT
ejpam-6324	53	1	the	the	DET
ejpam-6324	53	2	sufficient	sufficient	ADJ
ejpam-6324	53	3	conditions	condition	NOUN
ejpam-6324	53	4	for	for	ADP
ejpam-6324	53	5	the	the	DET
ejpam-6324	53	6	equivalent	equivalent	NOUN
ejpam-6324	53	7	among	among	ADP
ejpam-6324	53	8	these	these	DET
ejpam-6324	53	9	spaces	space	NOUN
ejpam-6324	53	10	are	be	AUX
ejpam-6324	53	11	addressed	address	VERB
ejpam-6324	53	12	.	.	PUNCT
ejpam-6324	54	1	some	some	DET
ejpam-6324	54	2	results	result	NOUN
ejpam-6324	54	3	which	which	PRON
ejpam-6324	54	4	associate	associate	VERB
ejpam-6324	54	5	soft	soft	ADJ
ejpam-6324	54	6	hyper	hyper	ADJ
ejpam-6324	54	7	connectedness	connectedness	NOUN
ejpam-6324	54	8	and	and	CCONJ
ejpam-6324	54	9	soft	soft	ADJ
ejpam-6324	54	10	connectedness	connectedness	NOUN
ejpam-6324	54	11	,	,	PUNCT
ejpam-6324	54	12	respectively	respectively	ADV
ejpam-6324	54	13	with	with	ADP
ejpam-6324	54	14	almost	almost	ADV
ejpam-6324	54	15	soft	soft	ADJ
ejpam-6324	54	16	compactness	compactness	NOUN
ejpam-6324	54	17	m.	m.	NOUN
ejpam-6324	54	18	m.	m.	PROPN
ejpam-6324	54	19	saeed	saeed	PROPN
ejpam-6324	54	20	et	et	PROPN
ejpam-6324	54	21	al	al	PROPN
ejpam-6324	54	22	.	.	PUNCT
ejpam-6324	54	23	/	/	SYM
ejpam-6324	54	24	eur	eur	PROPN
ejpam-6324	54	25	.	.	PUNCT
ejpam-6324	55	1	j.	j.	PROPN
ejpam-6324	55	2	pure	pure	PROPN
ejpam-6324	55	3	appl	appl	PROPN
ejpam-6324	55	4	.	.	PROPN
ejpam-6324	55	5	math	math	PROPN
ejpam-6324	55	6	,	,	PUNCT
ejpam-6324	55	7	18	18	NUM
ejpam-6324	55	8	(	(	PUNCT
ejpam-6324	55	9	3	3	NUM
ejpam-6324	55	10	)	)	PUNCT
ejpam-6324	55	11	(	(	PUNCT
ejpam-6324	55	12	2025	2025	NUM
ejpam-6324	55	13	)	)	PUNCT
ejpam-6324	55	14	,	,	PUNCT
ejpam-6324	55	15	6324	6324	NUM
ejpam-6324	55	16	3	3	NUM
ejpam-6324	55	17	of	of	ADP
ejpam-6324	55	18	25	25	NUM
ejpam-6324	55	19	and	and	CCONJ
ejpam-6324	55	20	mildly	mildly	ADV
ejpam-6324	55	21	soft	soft	ADJ
ejpam-6324	55	22	compactness	compactness	NOUN
ejpam-6324	55	23	are	be	AUX
ejpam-6324	55	24	verified	verify	VERB
ejpam-6324	55	25	.	.	PUNCT
ejpam-6324	56	1	mehmood	mehmood	PROPN
ejpam-6324	56	2	et	et	PROPN
ejpam-6324	56	3	al	al	PROPN
ejpam-6324	56	4	.	.	PUNCT
ejpam-6324	57	1	[	[	X
ejpam-6324	57	2	13	13	NUM
ejpam-6324	57	3	]	]	PUNCT
ejpam-6324	57	4	introduced	introduce	VERB
ejpam-6324	57	5	new	new	ADJ
ejpam-6324	57	6	operations	operation	NOUN
ejpam-6324	57	7	for	for	ADP
ejpam-6324	57	8	union	union	NOUN
ejpam-6324	57	9	,	,	PUNCT
ejpam-6324	57	10	intersection	intersection	NOUN
ejpam-6324	57	11	,	,	PUNCT
ejpam-6324	57	12	and	and	CCONJ
ejpam-6324	57	13	complement	complement	NOUN
ejpam-6324	57	14	using	use	VERB
ejpam-6324	57	15	vague	vague	ADJ
ejpam-6324	57	16	soft	soft	ADJ
ejpam-6324	57	17	sets	set	NOUN
ejpam-6324	57	18	in	in	ADP
ejpam-6324	57	19	a	a	DET
ejpam-6324	57	20	novel	novel	ADJ
ejpam-6324	57	21	approach	approach	NOUN
ejpam-6324	57	22	that	that	PRON
ejpam-6324	57	23	incorporates	incorporate	VERB
ejpam-6324	57	24	both	both	CCONJ
ejpam-6324	57	25	true	true	ADJ
ejpam-6324	57	26	and	and	CCONJ
ejpam-6324	57	27	false	false	ADJ
ejpam-6324	57	28	statements	statement	NOUN
ejpam-6324	57	29	.	.	PUNCT
ejpam-6324	58	1	the	the	DET
ejpam-6324	58	2	union	union	NOUN
ejpam-6324	58	3	is	be	AUX
ejpam-6324	58	4	defined	define	VERB
ejpam-6324	58	5	as	as	ADP
ejpam-6324	58	6	the	the	DET
ejpam-6324	58	7	maximum	maximum	NOUN
ejpam-6324	58	8	,	,	PUNCT
ejpam-6324	58	9	and	and	CCONJ
ejpam-6324	58	10	the	the	DET
ejpam-6324	58	11	intersection	intersection	NOUN
ejpam-6324	58	12	is	be	AUX
ejpam-6324	58	13	defined	define	VERB
ejpam-6324	58	14	as	as	ADP
ejpam-6324	58	15	the	the	DET
ejpam-6324	58	16	minimum	minimum	NOUN
ejpam-6324	58	17	.	.	PUNCT
ejpam-6324	59	1	based	base	VERB
ejpam-6324	59	2	on	on	ADP
ejpam-6324	59	3	these	these	DET
ejpam-6324	59	4	operations	operation	NOUN
ejpam-6324	59	5	,	,	PUNCT
ejpam-6324	59	6	vague	vague	ADJ
ejpam-6324	59	7	soft	soft	ADJ
ejpam-6324	59	8	topology	topology	NOUN
ejpam-6324	59	9	is	be	AUX
ejpam-6324	59	10	established	establish	VERB
ejpam-6324	59	11	.	.	PUNCT
ejpam-6324	60	1	pairwise	pairwise	NOUN
ejpam-6324	60	2	vague	vague	ADJ
ejpam-6324	60	3	soft	soft	ADJ
ejpam-6324	60	4	open	open	ADJ
ejpam-6324	60	5	sets	set	NOUN
ejpam-6324	60	6	and	and	CCONJ
ejpam-6324	60	7	pairwise	pairwise	NOUN
ejpam-6324	60	8	vague	vague	ADJ
ejpam-6324	60	9	soft	soft	ADJ
ejpam-6324	60	10	closed	closed	ADJ
ejpam-6324	60	11	sets	set	NOUN
ejpam-6324	60	12	are	be	AUX
ejpam-6324	60	13	defined	define	VERB
ejpam-6324	60	14	within	within	ADP
ejpam-6324	60	15	vague	vague	ADJ
ejpam-6324	60	16	soft	soft	ADJ
ejpam-6324	60	17	bi	bi	ADJ
ejpam-6324	60	18	-	-	ADJ
ejpam-6324	60	19	topological	topological	ADJ
ejpam-6324	60	20	structures	structure	NOUN
ejpam-6324	60	21	(	(	PUNCT
ejpam-6324	60	22	vsbts	vsbt	NOUN
ejpam-6324	60	23	)	)	PUNCT
ejpam-6324	60	24	.	.	PUNCT
ejpam-6324	61	1	additionally	additionally	ADV
ejpam-6324	61	2	,	,	PUNCT
ejpam-6324	61	3	generalized	generalized	ADJ
ejpam-6324	61	4	vague	vague	ADJ
ejpam-6324	61	5	soft	soft	ADJ
ejpam-6324	61	6	open	open	ADJ
ejpam-6324	61	7	sets	set	NOUN
ejpam-6324	61	8	are	be	AUX
ejpam-6324	61	9	introduced	introduce	VERB
ejpam-6324	61	10	in	in	ADP
ejpam-6324	61	11	vsbts	vsbt	NOUN
ejpam-6324	61	12	in	in	ADP
ejpam-6324	61	13	relation	relation	NOUN
ejpam-6324	61	14	to	to	ADP
ejpam-6324	61	15	the	the	DET
ejpam-6324	61	16	soft	soft	ADJ
ejpam-6324	61	17	points	point	NOUN
ejpam-6324	61	18	of	of	ADP
ejpam-6324	61	19	the	the	DET
ejpam-6324	61	20	space	space	NOUN
ejpam-6324	61	21	.	.	PUNCT
ejpam-6324	62	1	based	base	VERB
ejpam-6324	62	2	on	on	ADP
ejpam-6324	62	3	these	these	DET
ejpam-6324	62	4	generalized	generalize	VERB
ejpam-6324	62	5	vague	vague	ADJ
ejpam-6324	62	6	soft	soft	ADJ
ejpam-6324	62	7	open	open	ADJ
ejpam-6324	62	8	sets	set	NOUN
ejpam-6324	62	9	and	and	CCONJ
ejpam-6324	62	10	separation	separation	NOUN
ejpam-6324	62	11	axioms	axiom	NOUN
ejpam-6324	62	12	are	be	AUX
ejpam-6324	62	13	defined	define	VERB
ejpam-6324	62	14	.	.	PUNCT
ejpam-6324	63	1	furthermore	furthermore	ADV
ejpam-6324	63	2	,	,	PUNCT
ejpam-6324	63	3	these	these	DET
ejpam-6324	63	4	separation	separation	NOUN
ejpam-6324	63	5	axioms	axiom	NOUN
ejpam-6324	63	6	are	be	AUX
ejpam-6324	63	7	applied	apply	VERB
ejpam-6324	63	8	to	to	ADP
ejpam-6324	63	9	other	other	ADJ
ejpam-6324	63	10	significant	significant	ADJ
ejpam-6324	63	11	results	result	NOUN
ejpam-6324	63	12	within	within	ADP
ejpam-6324	63	13	vsbts	vsbt	NOUN
ejpam-6324	63	14	.	.	PUNCT
ejpam-6324	64	1	1.1	1.1	NUM
ejpam-6324	64	2	.	.	PUNCT
ejpam-6324	65	1	literature	literature	NOUN
ejpam-6324	65	2	review	review	PROPN
ejpam-6324	65	3	smarandache	smarandache	NOUN
ejpam-6324	65	4	[	[	X
ejpam-6324	65	5	14	14	NUM
ejpam-6324	65	6	]	]	PUNCT
ejpam-6324	65	7	exhibited	exhibit	VERB
ejpam-6324	65	8	the	the	DET
ejpam-6324	65	9	conception	conception	NOUN
ejpam-6324	65	10	of	of	ADP
ejpam-6324	65	11	neutrosophic	neutrosophic	ADJ
ejpam-6324	65	12	set	set	NOUN
ejpam-6324	65	13	(	(	PUNCT
ejpam-6324	65	14	ns	ns	NUM
ejpam-6324	65	15	)	)	PUNCT
ejpam-6324	65	16	.	.	PUNCT
ejpam-6324	66	1	the	the	DET
ejpam-6324	66	2	author	author	NOUN
ejpam-6324	66	3	added	add	VERB
ejpam-6324	66	4	the	the	DET
ejpam-6324	66	5	indeterminacy	indeterminacy	NOUN
ejpam-6324	66	6	-	-	PUNCT
ejpam-6324	66	7	membership	membership	NOUN
ejpam-6324	66	8	function	function	NOUN
ejpam-6324	66	9	.	.	PUNCT
ejpam-6324	67	1	neutrosophic	neutrosophic	ADJ
ejpam-6324	67	2	set	set	NOUN
ejpam-6324	67	3	is	be	AUX
ejpam-6324	67	4	categorized	categorize	VERB
ejpam-6324	67	5	by	by	ADP
ejpam-6324	67	6	3components	3components	NUM
ejpam-6324	67	7	that	that	PRON
ejpam-6324	67	8	is	be	AUX
ejpam-6324	67	9	truth	truth	NOUN
ejpam-6324	67	10	-	-	PUNCT
ejpam-6324	67	11	membership	membership	NOUN
ejpam-6324	67	12	(	(	PUNCT
ejpam-6324	67	13	tm	tm	NOUN
ejpam-6324	67	14	)	)	PUNCT
ejpam-6324	67	15	,	,	PUNCT
ejpam-6324	67	16	indeterminacy	indeterminacy	NOUN
ejpam-6324	67	17	-	-	PUNCT
ejpam-6324	67	18	membership	membership	NOUN
ejpam-6324	67	19	(	(	PUNCT
ejpam-6324	67	20	i	i	NOUN
ejpam-6324	67	21	m	m	PROPN
ejpam-6324	67	22	)	)	PUNCT
ejpam-6324	67	23	and	and	CCONJ
ejpam-6324	67	24	falsemembership	falsemembership	NOUN
ejpam-6324	67	25	(	(	PUNCT
ejpam-6324	67	26	fm	fm	NOUN
ejpam-6324	67	27	)	)	PUNCT
ejpam-6324	67	28	functions	function	NOUN
ejpam-6324	67	29	.	.	PUNCT
ejpam-6324	68	1	moreover	moreover	ADV
ejpam-6324	68	2	,	,	PUNCT
ejpam-6324	68	3	the	the	DET
ejpam-6324	68	4	neutrosophic	neutrosophic	ADJ
ejpam-6324	68	5	set	set	NOUN
ejpam-6324	68	6	is	be	AUX
ejpam-6324	68	7	straight	straight	ADV
ejpam-6324	68	8	forward	forward	ADJ
ejpam-6324	68	9	generalization	generalization	NOUN
ejpam-6324	68	10	of	of	ADP
ejpam-6324	68	11	ifst	ifst	PROPN
ejpam-6324	68	12	.	.	PUNCT
ejpam-6324	69	1	ozturk	ozturk	PROPN
ejpam-6324	69	2	et	et	PROPN
ejpam-6324	69	3	al	al	PROPN
ejpam-6324	69	4	.	.	PUNCT
ejpam-6324	70	1	[	[	X
ejpam-6324	70	2	15	15	NUM
ejpam-6324	70	3	]	]	PUNCT
ejpam-6324	70	4	introduced	introduce	VERB
ejpam-6324	70	5	new	new	ADJ
ejpam-6324	70	6	operations	operation	NOUN
ejpam-6324	70	7	on	on	ADP
ejpam-6324	70	8	neutrosophic	neutrosophic	ADJ
ejpam-6324	70	9	soft	soft	ADJ
ejpam-6324	70	10	sets	set	NOUN
ejpam-6324	70	11	and	and	CCONJ
ejpam-6324	70	12	these	these	DET
ejpam-6324	70	13	operations	operation	NOUN
ejpam-6324	70	14	are	be	AUX
ejpam-6324	70	15	union	union	NOUN
ejpam-6324	70	16	,	,	PUNCT
ejpam-6324	70	17	intersection	intersection	NOUN
ejpam-6324	70	18	and	and	CCONJ
ejpam-6324	70	19	complements	complement	NOUN
ejpam-6324	70	20	.	.	PUNCT
ejpam-6324	71	1	on	on	ADP
ejpam-6324	71	2	the	the	DET
ejpam-6324	71	3	basis	basis	NOUN
ejpam-6324	71	4	of	of	ADP
ejpam-6324	71	5	these	these	DET
ejpam-6324	71	6	operations	operation	NOUN
ejpam-6324	71	7	the	the	DET
ejpam-6324	71	8	authors	author	NOUN
ejpam-6324	71	9	defined	define	VERB
ejpam-6324	71	10	neutrosophic	neutrosophic	ADJ
ejpam-6324	71	11	soft	soft	ADJ
ejpam-6324	71	12	topology	topology	NOUN
ejpam-6324	71	13	and	and	CCONJ
ejpam-6324	71	14	discussed	discuss	VERB
ejpam-6324	71	15	its	its	PRON
ejpam-6324	71	16	basic	basic	ADJ
ejpam-6324	71	17	results	result	NOUN
ejpam-6324	71	18	.	.	PUNCT
ejpam-6324	72	1	these	these	DET
ejpam-6324	72	2	results	result	NOUN
ejpam-6324	72	3	were	be	AUX
ejpam-6324	72	4	verified	verify	VERB
ejpam-6324	72	5	through	through	ADP
ejpam-6324	72	6	examples	example	NOUN
ejpam-6324	72	7	.	.	PUNCT
ejpam-6324	73	1	jaikumar	jaikumar	PROPN
ejpam-6324	73	2	et	et	PROPN
ejpam-6324	73	3	al	al	PROPN
ejpam-6324	73	4	.	.	PUNCT
ejpam-6324	74	1	[	[	X
ejpam-6324	74	2	16	16	NUM
ejpam-6324	74	3	]	]	PUNCT
ejpam-6324	74	4	introduced	introduce	VERB
ejpam-6324	74	5	the	the	DET
ejpam-6324	74	6	concept	concept	NOUN
ejpam-6324	74	7	of	of	ADP
ejpam-6324	74	8	equitable	equitable	ADJ
ejpam-6324	74	9	integrity	integrity	NOUN
ejpam-6324	74	10	and	and	CCONJ
ejpam-6324	74	11	strong	strong	ADJ
ejpam-6324	74	12	equitable	equitable	ADJ
ejpam-6324	74	13	integrity	integrity	NOUN
ejpam-6324	74	14	in	in	ADP
ejpam-6324	74	15	single	single	ADJ
ejpam-6324	74	16	valued	value	VERB
ejpam-6324	74	17	neutrosophic	neutrosophic	ADJ
ejpam-6324	74	18	graphs	graph	NOUN
ejpam-6324	74	19	.	.	PUNCT
ejpam-6324	75	1	bera	bera	NOUN
ejpam-6324	75	2	and	and	CCONJ
ejpam-6324	75	3	mahapatra	mahapatra	NOUN
ejpam-6324	76	1	[	[	X
ejpam-6324	76	2	17]introduced	17]introduced	NUM
ejpam-6324	76	3	a	a	DET
ejpam-6324	76	4	strong	strong	ADJ
ejpam-6324	76	5	hybrid	hybrid	ADJ
ejpam-6324	76	6	structure	structure	NOUN
ejpam-6324	76	7	in	in	ADP
ejpam-6324	76	8	form	form	NOUN
ejpam-6324	76	9	of	of	ADP
ejpam-6324	76	10	neutrosophic	neutrosophic	ADJ
ejpam-6324	76	11	soft	soft	ADJ
ejpam-6324	76	12	topological	topological	ADJ
ejpam-6324	76	13	space	space	NOUN
ejpam-6324	76	14	.	.	PUNCT
ejpam-6324	77	1	the	the	DET
ejpam-6324	77	2	notion	notion	NOUN
ejpam-6324	77	3	of	of	ADP
ejpam-6324	77	4	interior	interior	ADJ
ejpam-6324	77	5	,	,	PUNCT
ejpam-6324	77	6	closure	closure	NOUN
ejpam-6324	77	7	,	,	PUNCT
ejpam-6324	77	8	neighborhood	neighborhood	NOUN
ejpam-6324	77	9	,	,	PUNCT
ejpam-6324	77	10	boundary	boundary	ADJ
ejpam-6324	77	11	and	and	CCONJ
ejpam-6324	77	12	regularity	regularity	NOUN
ejpam-6324	77	13	are	be	AUX
ejpam-6324	77	14	also	also	ADV
ejpam-6324	77	15	introduced	introduce	VERB
ejpam-6324	77	16	in	in	ADP
ejpam-6324	77	17	terms	term	NOUN
ejpam-6324	77	18	of	of	ADP
ejpam-6324	77	19	neutrosophic	neutrosophic	ADJ
ejpam-6324	77	20	soft	soft	ADJ
ejpam-6324	77	21	set	set	NOUN
ejpam-6324	77	22	.	.	PUNCT
ejpam-6324	78	1	the	the	DET
ejpam-6324	78	2	concept	concept	NOUN
ejpam-6324	78	3	of	of	ADP
ejpam-6324	78	4	base	base	NOUN
ejpam-6324	78	5	for	for	ADP
ejpam-6324	78	6	neutrosophic	neutrosophic	ADJ
ejpam-6324	78	7	soft	soft	ADJ
ejpam-6324	78	8	topology	topology	NOUN
ejpam-6324	78	9	and	and	CCONJ
ejpam-6324	78	10	subspace	subspace	NOUN
ejpam-6324	78	11	topology	topology	NOUN
ejpam-6324	78	12	on	on	ADP
ejpam-6324	78	13	neutrosophic	neutrosophic	ADJ
ejpam-6324	78	14	soft	soft	ADJ
ejpam-6324	78	15	set	set	NOUN
ejpam-6324	78	16	is	be	AUX
ejpam-6324	78	17	defined	define	VERB
ejpam-6324	78	18	with	with	ADP
ejpam-6324	78	19	suitable	suitable	ADJ
ejpam-6324	78	20	examples	example	NOUN
ejpam-6324	78	21	.	.	PUNCT
ejpam-6324	79	1	moreover	moreover	ADV
ejpam-6324	79	2	,	,	PUNCT
ejpam-6324	79	3	the	the	DET
ejpam-6324	79	4	concept	concept	NOUN
ejpam-6324	79	5	of	of	ADP
ejpam-6324	79	6	separation	separation	NOUN
ejpam-6324	79	7	axioms	axiom	NOUN
ejpam-6324	79	8	on	on	ADP
ejpam-6324	79	9	neutrosophic	neutrosophic	ADJ
ejpam-6324	79	10	soft	soft	ADJ
ejpam-6324	79	11	topological	topological	ADJ
ejpam-6324	79	12	space	space	NOUN
ejpam-6324	79	13	is	be	AUX
ejpam-6324	79	14	introduced	introduce	VERB
ejpam-6324	79	15	along	along	ADP
ejpam-6324	79	16	with	with	ADP
ejpam-6324	79	17	investigation	investigation	NOUN
ejpam-6324	79	18	of	of	ADP
ejpam-6324	79	19	several	several	ADJ
ejpam-6324	79	20	characteristics	characteristic	NOUN
ejpam-6324	79	21	.	.	PUNCT
ejpam-6324	80	1	jun	jun	PROPN
ejpam-6324	80	2	et	et	PROPN
ejpam-6324	80	3	al	al	PROPN
ejpam-6324	80	4	.	.	PUNCT
ejpam-6324	81	1	[	[	X
ejpam-6324	81	2	18	18	NUM
ejpam-6324	81	3	]	]	PUNCT
ejpam-6324	81	4	extended	extend	VERB
ejpam-6324	81	5	the	the	DET
ejpam-6324	81	6	concept	concept	NOUN
ejpam-6324	81	7	of	of	ADP
ejpam-6324	81	8	cubic	cubic	ADJ
ejpam-6324	81	9	sets	set	NOUN
ejpam-6324	81	10	to	to	ADP
ejpam-6324	81	11	the	the	DET
ejpam-6324	81	12	neutrosophic	neutrosophic	ADJ
ejpam-6324	81	13	sets	set	NOUN
ejpam-6324	81	14	.	.	PUNCT
ejpam-6324	82	1	the	the	DET
ejpam-6324	82	2	notions	notion	NOUN
ejpam-6324	82	3	of	of	ADP
ejpam-6324	82	4	truth	truth	NOUN
ejpam-6324	82	5	-	-	PUNCT
ejpam-6324	82	6	internal	internal	ADJ
ejpam-6324	82	7	(	(	PUNCT
ejpam-6324	82	8	indeterminacy	indeterminacy	NOUN
ejpam-6324	82	9	-	-	PUNCT
ejpam-6324	82	10	internal	internal	ADJ
ejpam-6324	82	11	,	,	PUNCT
ejpam-6324	82	12	falsity	falsity	NOUN
ejpam-6324	82	13	-	-	PUNCT
ejpam-6324	82	14	internal	internal	ADJ
ejpam-6324	82	15	)	)	PUNCT
ejpam-6324	82	16	neutrosophic	neutrosophic	ADJ
ejpam-6324	82	17	cubic	cubic	ADJ
ejpam-6324	82	18	sets	set	NOUN
ejpam-6324	82	19	and	and	CCONJ
ejpam-6324	82	20	truth	truth	NOUN
ejpam-6324	82	21	external	external	ADJ
ejpam-6324	82	22	(	(	PUNCT
ejpam-6324	82	23	indeterminacy	indeterminacy	NOUN
ejpam-6324	82	24	-	-	PUNCT
ejpam-6324	82	25	external	external	ADJ
ejpam-6324	82	26	,	,	PUNCT
ejpam-6324	82	27	falsity	falsity	NOUN
ejpam-6324	82	28	-	-	PUNCT
ejpam-6324	82	29	external	external	ADJ
ejpam-6324	82	30	)	)	PUNCT
ejpam-6324	82	31	neutrosophic	neutrosophic	ADJ
ejpam-6324	82	32	cubic	cubic	ADJ
ejpam-6324	82	33	sets	set	NOUN
ejpam-6324	82	34	are	be	AUX
ejpam-6324	82	35	introduced	introduce	VERB
ejpam-6324	82	36	,	,	PUNCT
ejpam-6324	82	37	and	and	CCONJ
ejpam-6324	82	38	related	related	ADJ
ejpam-6324	82	39	properties	property	NOUN
ejpam-6324	82	40	are	be	AUX
ejpam-6324	82	41	investigated	investigate	VERB
ejpam-6324	82	42	.	.	PUNCT
ejpam-6324	83	1	al	al	PROPN
ejpam-6324	83	2	-	-	PUNCT
ejpam-6324	83	3	omeri	omeri	PROPN
ejpam-6324	83	4	and	and	CCONJ
ejpam-6324	83	5	smarandache	smarandache	NOUN
ejpam-6324	84	1	[	[	X
ejpam-6324	84	2	19	19	NUM
ejpam-6324	84	3	]	]	PUNCT
ejpam-6324	84	4	linked	link	VERB
ejpam-6324	84	5	ncs	ncs	PROPN
ejpam-6324	84	6	to	to	ADP
ejpam-6324	84	7	topological	topological	ADJ
ejpam-6324	84	8	spaces	space	NOUN
ejpam-6324	84	9	and	and	CCONJ
ejpam-6324	84	10	exposed	expose	VERB
ejpam-6324	84	11	a	a	DET
ejpam-6324	84	12	space	space	NOUN
ejpam-6324	84	13	which	which	PRON
ejpam-6324	84	14	is	be	AUX
ejpam-6324	84	15	known	know	VERB
ejpam-6324	84	16	as	as	ADP
ejpam-6324	84	17	neutrosophic	neutrosophic	ADJ
ejpam-6324	84	18	topological	topological	ADJ
ejpam-6324	84	19	space	space	NOUN
ejpam-6324	84	20	.	.	PUNCT
ejpam-6324	85	1	zhang	zhang	PROPN
ejpam-6324	86	1	[	[	X
ejpam-6324	86	2	20]used	20]use	VERB
ejpam-6324	86	3	bipolar	bipolar	ADJ
ejpam-6324	86	4	fuzzy	fuzzy	ADJ
ejpam-6324	86	5	set	set	NOUN
ejpam-6324	86	6	(	(	PUNCT
ejpam-6324	86	7	bfs	bfs	NOUN
ejpam-6324	86	8	)	)	PUNCT
ejpam-6324	86	9	in	in	ADP
ejpam-6324	86	10	decision	decision	NOUN
ejpam-6324	86	11	making	make	VERB
ejpam-6324	86	12	problems	problem	NOUN
ejpam-6324	86	13	.	.	PUNCT
ejpam-6324	87	1	yaqoob	yaqoob	VERB
ejpam-6324	87	2	and	and	CCONJ
ejpam-6324	87	3	ansari	ansari	ADJ
ejpam-6324	88	1	[	[	X
ejpam-6324	88	2	21	21	NUM
ejpam-6324	88	3	]	]	PUNCT
ejpam-6324	88	4	introduced	introduce	VERB
ejpam-6324	88	5	the	the	DET
ejpam-6324	88	6	concept	concept	NOUN
ejpam-6324	88	7	of	of	ADP
ejpam-6324	88	8	bi	bi	ADJ
ejpam-6324	88	9	-	-	ADJ
ejpam-6324	88	10	polar	polar	ADJ
ejpam-6324	88	11	(	(	PUNCT
ejpam-6324	88	12	λ	λ	PROPN
ejpam-6324	88	13	,	,	PUNCT
ejpam-6324	88	14	δ	δ	PROPN
ejpam-6324	88	15	)	)	PUNCT
ejpam-6324	88	16	−	−	PROPN
ejpam-6324	88	17	fuzification	fuzification	NOUN
ejpam-6324	88	18	of	of	ADP
ejpam-6324	88	19	a	a	DET
ejpam-6324	88	20	ternary	ternary	ADJ
ejpam-6324	88	21	semi	semi	NOUN
ejpam-6324	88	22	-	-	NOUN
ejpam-6324	88	23	group	group	NOUN
ejpam-6324	88	24	and	and	CCONJ
ejpam-6324	88	25	discuss	discuss	VERB
ejpam-6324	88	26	some	some	DET
ejpam-6324	88	27	structural	structural	ADJ
ejpam-6324	88	28	properties	property	NOUN
ejpam-6324	88	29	of	of	ADP
ejpam-6324	88	30	bipolar	bipolar	ADJ
ejpam-6324	88	31	(	(	PUNCT
ejpam-6324	88	32	λ	λ	PROPN
ejpam-6324	88	33	,	,	PUNCT
ejpam-6324	88	34	δ	δ	PROPN
ejpam-6324	88	35	)	)	PUNCT
ejpam-6324	88	36	−	−	ADP
ejpam-6324	88	37	fuzzy	fuzzy	ADJ
ejpam-6324	88	38	ideals	ideal	NOUN
ejpam-6324	88	39	of	of	ADP
ejpam-6324	88	40	a	a	DET
ejpam-6324	88	41	ternary	ternary	ADJ
ejpam-6324	88	42	semi	semi	NOUN
ejpam-6324	88	43	-	-	NOUN
ejpam-6324	88	44	group	group	NOUN
ejpam-6324	88	45	.	.	PUNCT
ejpam-6324	89	1	yaqoob	yaqoob	VERB
ejpam-6324	89	2	et	et	NOUN
ejpam-6324	89	3	al	al	PROPN
ejpam-6324	89	4	.	.	PUNCT
ejpam-6324	90	1	[	[	X
ejpam-6324	90	2	22	22	NUM
ejpam-6324	90	3	]	]	PUNCT
ejpam-6324	90	4	applied	apply	VERB
ejpam-6324	90	5	[	[	X
ejpam-6324	90	6	9	9	NUM
ejpam-6324	90	7	]	]	PUNCT
ejpam-6324	90	8	to	to	ADP
ejpam-6324	90	9	many	many	ADJ
ejpam-6324	90	10	branches	branch	NOUN
ejpam-6324	90	11	of	of	ADP
ejpam-6324	90	12	mathematics	mathematic	NOUN
ejpam-6324	90	13	.	.	PUNCT
ejpam-6324	91	1	the	the	DET
ejpam-6324	91	2	authors	author	NOUN
ejpam-6324	91	3	initiated	initiate	VERB
ejpam-6324	91	4	a	a	DET
ejpam-6324	91	5	bipolar	bipolar	ADJ
ejpam-6324	91	6	fuzzy	fuzzy	ADJ
ejpam-6324	91	7	sets	set	NOUN
ejpam-6324	91	8	in	in	ADP
ejpam-6324	91	9	γ−semi−hyper	γ−semi−hyper	PUNCT
ejpam-6324	91	10	groups	group	NOUN
ejpam-6324	91	11	and	and	CCONJ
ejpam-6324	91	12	some	some	DET
ejpam-6324	91	13	more	more	ADJ
ejpam-6324	91	14	results	result	NOUN
ejpam-6324	91	15	.	.	PUNCT
ejpam-6324	92	1	yaqoob	yaqoob	VERB
ejpam-6324	92	2	et	et	NOUN
ejpam-6324	92	3	al	al	PROPN
ejpam-6324	92	4	.	.	PUNCT
ejpam-6324	93	1	[	[	X
ejpam-6324	93	2	23	23	NUM
ejpam-6324	93	3	]	]	PUNCT
ejpam-6324	93	4	introduced	introduce	VERB
ejpam-6324	93	5	new	new	ADJ
ejpam-6324	93	6	type	type	NOUN
ejpam-6324	93	7	of	of	ADP
ejpam-6324	93	8	bi	bi	ADJ
ejpam-6324	93	9	-	-	ADJ
ejpam-6324	93	10	polar	polar	ADJ
ejpam-6324	93	11	fuzzy	fuzzy	ADJ
ejpam-6324	93	12	sets	set	NOUN
ejpam-6324	93	13	in	in	ADP
ejpam-6324	93	14	γ−semi−hyper	γ−semi−hyper	PUNCT
ejpam-6324	93	15	groups	group	NOUN
ejpam-6324	93	16	.	.	PUNCT
ejpam-6324	94	1	hashim	hashim	PROPN
ejpam-6324	94	2	et	et	PROPN
ejpam-6324	94	3	al	al	PROPN
ejpam-6324	94	4	.	.	PUNCT
ejpam-6324	95	1	[	[	X
ejpam-6324	95	2	24]used	24]use	VERB
ejpam-6324	95	3	neutrosophic	neutrosophic	ADJ
ejpam-6324	95	4	bipolar	bipolar	ADJ
ejpam-6324	95	5	fuzzy	fuzzy	ADJ
ejpam-6324	95	6	in	in	ADP
ejpam-6324	95	7	many	many	ADJ
ejpam-6324	95	8	fields	field	NOUN
ejpam-6324	95	9	of	of	ADP
ejpam-6324	95	10	sciences	science	NOUN
ejpam-6324	95	11	.	.	PUNCT
ejpam-6324	96	1	the	the	DET
ejpam-6324	96	2	authors	author	NOUN
ejpam-6324	96	3	used	use	VERB
ejpam-6324	96	4	this	this	DET
ejpam-6324	96	5	theory	theory	NOUN
ejpam-6324	96	6	in	in	ADP
ejpam-6324	96	7	group	group	NOUN
ejpam-6324	96	8	decision	decision	NOUN
ejpam-6324	96	9	making	make	VERB
ejpam-6324	96	10	mode	mode	NOUN
ejpam-6324	96	11	base	base	NOUN
ejpam-6324	96	12	on	on	ADP
ejpam-6324	96	13	hybrid	hybrid	ADJ
ejpam-6324	96	14	making	make	VERB
ejpam-6324	96	15	problems	problem	NOUN
ejpam-6324	96	16	with	with	ADP
ejpam-6324	96	17	exact	exact	ADJ
ejpam-6324	96	18	values	value	NOUN
ejpam-6324	96	19	,	,	PUNCT
ejpam-6324	96	20	interval	interval	NOUN
ejpam-6324	96	21	values	value	NOUN
ejpam-6324	96	22	and	and	CCONJ
ejpam-6324	96	23	linguistic	linguistic	ADJ
ejpam-6324	96	24	variables	variable	NOUN
ejpam-6324	96	25	.	.	PUNCT
ejpam-6324	97	1	eventually	eventually	ADV
ejpam-6324	97	2	,	,	PUNCT
ejpam-6324	97	3	the	the	DET
ejpam-6324	97	4	authors	author	NOUN
ejpam-6324	97	5	applied	apply	VERB
ejpam-6324	97	6	these	these	DET
ejpam-6324	97	7	concepts	concept	NOUN
ejpam-6324	97	8	and	and	CCONJ
ejpam-6324	97	9	techniques	technique	NOUN
ejpam-6324	97	10	upon	upon	SCONJ
ejpam-6324	97	11	hybrid	hybrid	ADJ
ejpam-6324	97	12	multi	multi	ADJ
ejpam-6324	97	13	-	-	ADJ
ejpam-6324	97	14	attributes	attribute	VERB
ejpam-6324	97	15	decision	decision	NOUN
ejpam-6324	97	16	making	make	VERB
ejpam-6324	97	17	problem	problem	NOUN
ejpam-6324	97	18	of	of	ADP
ejpam-6324	97	19	selecting	select	VERB
ejpam-6324	97	20	the	the	DET
ejpam-6324	97	21	best	good	ADJ
ejpam-6324	97	22	medicine	medicine	NOUN
ejpam-6324	97	23	to	to	PART
ejpam-6324	97	24	cure	cure	VERB
ejpam-6324	97	25	some	some	DET
ejpam-6324	97	26	particular	particular	ADJ
ejpam-6324	97	27	diseases	disease	NOUN
ejpam-6324	97	28	and	and	CCONJ
ejpam-6324	97	29	develop	develop	VERB
ejpam-6324	97	30	an	an	DET
ejpam-6324	97	31	algorithm	algorithm	NOUN
ejpam-6324	97	32	m.	m.	NOUN
ejpam-6324	97	33	m.	m.	PROPN
ejpam-6324	97	34	saeed	saeed	PROPN
ejpam-6324	97	35	et	et	PROPN
ejpam-6324	97	36	al	al	PROPN
ejpam-6324	97	37	.	.	PUNCT
ejpam-6324	97	38	/	/	SYM
ejpam-6324	97	39	eur	eur	PROPN
ejpam-6324	97	40	.	.	PUNCT
ejpam-6324	98	1	j.	j.	PROPN
ejpam-6324	98	2	pure	pure	PROPN
ejpam-6324	98	3	appl	appl	PROPN
ejpam-6324	98	4	.	.	PROPN
ejpam-6324	98	5	math	math	PROPN
ejpam-6324	98	6	,	,	PUNCT
ejpam-6324	98	7	18	18	NUM
ejpam-6324	98	8	(	(	PUNCT
ejpam-6324	98	9	3	3	NUM
ejpam-6324	98	10	)	)	PUNCT
ejpam-6324	98	11	(	(	PUNCT
ejpam-6324	98	12	2025	2025	NUM
ejpam-6324	98	13	)	)	PUNCT
ejpam-6324	98	14	,	,	PUNCT
ejpam-6324	98	15	6324	6324	NUM
ejpam-6324	98	16	4	4	NUM
ejpam-6324	98	17	of	of	ADP
ejpam-6324	98	18	25	25	NUM
ejpam-6324	98	19	for	for	ADP
ejpam-6324	98	20	neutrosophic	neutrosophic	ADJ
ejpam-6324	98	21	bi	bi	ADJ
ejpam-6324	98	22	-	-	ADJ
ejpam-6324	98	23	polar	polar	ADJ
ejpam-6324	98	24	fuzzy	fuzzy	ADJ
ejpam-6324	98	25	hybrid	hybrid	ADJ
ejpam-6324	98	26	multi	multi	ADJ
ejpam-6324	98	27	-	-	ADJ
ejpam-6324	98	28	attribute	attribute	NOUN
ejpam-6324	98	29	group	group	NOUN
ejpam-6324	98	30	decision	decision	NOUN
ejpam-6324	98	31	making	making	NOUN
ejpam-6324	98	32	.	.	PUNCT
ejpam-6324	99	1	mehmood	mehmood	PROPN
ejpam-6324	99	2	et	et	PROPN
ejpam-6324	99	3	al.[25	al.[25	PROPN
ejpam-6324	99	4	]	]	PUNCT
ejpam-6324	99	5	discussed	discuss	VERB
ejpam-6324	99	6	a	a	DET
ejpam-6324	99	7	new	new	ADJ
ejpam-6324	99	8	concept	concept	NOUN
ejpam-6324	99	9	of	of	ADP
ejpam-6324	99	10	vague	vague	ADJ
ejpam-6324	99	11	soft	soft	ADJ
ejpam-6324	99	12	bi	bi	ADJ
ejpam-6324	99	13	-	-	ADJ
ejpam-6324	99	14	topological	topological	ADJ
ejpam-6324	99	15	space	space	NOUN
ejpam-6324	99	16	and	and	CCONJ
ejpam-6324	99	17	its	its	PRON
ejpam-6324	99	18	structural	structural	ADJ
ejpam-6324	99	19	behaviors	behavior	NOUN
ejpam-6324	99	20	.	.	PUNCT
ejpam-6324	100	1	this	this	DET
ejpam-6324	100	2	approach	approach	NOUN
ejpam-6324	100	3	is	be	AUX
ejpam-6324	100	4	based	base	VERB
ejpam-6324	100	5	on	on	ADP
ejpam-6324	100	6	generalized	generalized	ADJ
ejpam-6324	100	7	vague	vague	ADJ
ejpam-6324	100	8	soft	soft	ADJ
ejpam-6324	100	9	open	open	ADJ
ejpam-6324	100	10	sets	set	NOUN
ejpam-6324	100	11	,	,	PUNCT
ejpam-6324	100	12	known	know	VERB
ejpam-6324	100	13	as	as	ADP
ejpam-6324	100	14	vague	vague	ADJ
ejpam-6324	100	15	soft	soft	ADJ
ejpam-6324	100	16	β−open	β−open	PUNCT
ejpam-6324	100	17	sets	set	NOUN
ejpam-6324	100	18	.	.	PUNCT
ejpam-6324	101	1	an	an	DET
ejpam-6324	101	2	examples	example	NOUN
ejpam-6324	101	3	are	be	AUX
ejpam-6324	101	4	given	give	VERB
ejpam-6324	101	5	to	to	PART
ejpam-6324	101	6	understand	understand	VERB
ejpam-6324	101	7	the	the	DET
ejpam-6324	101	8	structures	structure	NOUN
ejpam-6324	101	9	.	.	PUNCT
ejpam-6324	102	1	pair	pair	NOUN
ejpam-6324	102	2	-	-	PUNCT
ejpam-6324	102	3	wise	wise	ADJ
ejpam-6324	102	4	vague	vague	ADJ
ejpam-6324	102	5	soft	soft	ADJ
ejpam-6324	102	6	β	β	NOUN
ejpam-6324	102	7	−	−	NOUN
ejpam-6324	103	1	open	open	ADJ
ejpam-6324	103	2	and	and	CCONJ
ejpam-6324	103	3	pair	pair	NOUN
ejpam-6324	103	4	-	-	PUNCT
ejpam-6324	103	5	wise	wise	ADJ
ejpam-6324	103	6	vague	vague	ADJ
ejpam-6324	103	7	soft	soft	ADJ
ejpam-6324	103	8	β	β	NOUN
ejpam-6324	103	9	−	−	NOUN
ejpam-6324	103	10	close	close	ADJ
ejpam-6324	103	11	sets	set	NOUN
ejpam-6324	103	12	are	be	AUX
ejpam-6324	103	13	also	also	ADV
ejpam-6324	103	14	addressed	address	VERB
ejpam-6324	103	15	with	with	ADP
ejpam-6324	103	16	examples	example	NOUN
ejpam-6324	103	17	vague	vague	VERB
ejpam-6324	103	18	soft	soft	ADJ
ejpam-6324	103	19	bi	bi	ADJ
ejpam-6324	103	20	-	-	ADJ
ejpam-6324	103	21	topological	topological	ADJ
ejpam-6324	103	22	space	space	NOUN
ejpam-6324	103	23	.	.	PUNCT
ejpam-6324	104	1	vague	vague	ADJ
ejpam-6324	104	2	soft	soft	ADJ
ejpam-6324	104	3	separation	separation	NOUN
ejpam-6324	104	4	axioms	axiom	NOUN
ejpam-6324	104	5	are	be	AUX
ejpam-6324	104	6	initiated	initiate	VERB
ejpam-6324	104	7	in	in	ADP
ejpam-6324	104	8	(	(	PUNCT
ejpam-6324	104	9	vsbts	vsbt	NOUN
ejpam-6324	104	10	)	)	PUNCT
ejpam-6324	104	11	concerning	concern	VERB
ejpam-6324	104	12	soft	soft	ADJ
ejpam-6324	104	13	point	point	NOUN
ejpam-6324	104	14	of	of	ADP
ejpam-6324	104	15	the	the	DET
ejpam-6324	104	16	space	space	NOUN
ejpam-6324	104	17	.	.	PUNCT
ejpam-6324	105	1	other	other	ADJ
ejpam-6324	105	2	separation	separation	NOUN
ejpam-6324	105	3	axioms	axiom	NOUN
ejpam-6324	105	4	are	be	AUX
ejpam-6324	105	5	also	also	ADV
ejpam-6324	105	6	addressed	address	VERB
ejpam-6324	105	7	relative	relative	ADV
ejpam-6324	105	8	to	to	ADP
ejpam-6324	105	9	soft	soft	ADJ
ejpam-6324	105	10	points	point	NOUN
ejpam-6324	105	11	of	of	ADP
ejpam-6324	105	12	the	the	DET
ejpam-6324	105	13	space	space	NOUN
ejpam-6324	105	14	.	.	PUNCT
ejpam-6324	106	1	mehmood	mehmood	PROPN
ejpam-6324	106	2	et	et	PROPN
ejpam-6324	106	3	al.[13	al.[13	NOUN
ejpam-6324	106	4	]	]	PUNCT
ejpam-6324	106	5	focused	focus	VERB
ejpam-6324	106	6	on	on	ADP
ejpam-6324	106	7	two	two	NUM
ejpam-6324	106	8	crucial	crucial	ADJ
ejpam-6324	106	9	techniques	technique	NOUN
ejpam-6324	106	10	that	that	PRON
ejpam-6324	106	11	are	be	AUX
ejpam-6324	106	12	used	use	VERB
ejpam-6324	106	13	for	for	ADP
ejpam-6324	106	14	measurements	measurement	NOUN
ejpam-6324	106	15	.	.	PUNCT
ejpam-6324	107	1	these	these	DET
ejpam-6324	107	2	technique	technique	NOUN
ejpam-6324	107	3	are	be	AUX
ejpam-6324	107	4	introduced	introduce	VERB
ejpam-6324	107	5	in	in	ADP
ejpam-6324	107	6	soft	soft	ADJ
ejpam-6324	107	7	sets	set	NOUN
ejpam-6324	107	8	concerning	concern	VERB
ejpam-6324	107	9	crisp	crisp	ADJ
ejpam-6324	107	10	points	point	NOUN
ejpam-6324	107	11	of	of	ADP
ejpam-6324	107	12	the	the	DET
ejpam-6324	107	13	space	space	NOUN
ejpam-6324	107	14	.	.	PUNCT
ejpam-6324	108	1	relevant	relevant	ADJ
ejpam-6324	108	2	examples	example	NOUN
ejpam-6324	108	3	support	support	VERB
ejpam-6324	108	4	these	these	DET
ejpam-6324	108	5	strategies	strategy	NOUN
ejpam-6324	108	6	.	.	PUNCT
ejpam-6324	109	1	khattak	khattak	PROPN
ejpam-6324	109	2	et	et	PROPN
ejpam-6324	109	3	al	al	PROPN
ejpam-6324	109	4	.	.	PUNCT
ejpam-6324	110	1	[	[	X
ejpam-6324	110	2	26	26	NUM
ejpam-6324	110	3	]	]	PUNCT
ejpam-6324	110	4	bounced	bounce	VERB
ejpam-6324	110	5	up	up	ADP
ejpam-6324	110	6	the	the	DET
ejpam-6324	110	7	idea	idea	NOUN
ejpam-6324	110	8	of	of	ADP
ejpam-6324	110	9	neutrosophic	neutrosophic	ADJ
ejpam-6324	110	10	soft	soft	ADJ
ejpam-6324	110	11	b	b	NOUN
ejpam-6324	110	12	-	-	PUNCT
ejpam-6324	110	13	open	open	ADJ
ejpam-6324	110	14	sets	set	NOUN
ejpam-6324	110	15	,	,	PUNCT
ejpam-6324	110	16	neutrosophic	neutrosophic	ADJ
ejpam-6324	110	17	soft	soft	ADJ
ejpam-6324	110	18	b	b	NOUN
ejpam-6324	110	19	-	-	PUNCT
ejpam-6324	110	20	closed	closed	ADJ
ejpam-6324	110	21	sets	set	NOUN
ejpam-6324	110	22	and	and	CCONJ
ejpam-6324	110	23	their	their	PRON
ejpam-6324	110	24	properties	property	NOUN
ejpam-6324	110	25	.	.	PUNCT
ejpam-6324	111	1	also	also	ADV
ejpam-6324	111	2	the	the	DET
ejpam-6324	111	3	idea	idea	NOUN
ejpam-6324	111	4	of	of	ADP
ejpam-6324	111	5	neutrosophic	neutrosophic	ADJ
ejpam-6324	111	6	soft	soft	ADJ
ejpam-6324	111	7	b	b	NOUN
ejpam-6324	111	8	-	-	PUNCT
ejpam-6324	111	9	neighborhood	neighborhood	NOUN
ejpam-6324	111	10	and	and	CCONJ
ejpam-6324	111	11	neutrosophic	neutrosophic	ADJ
ejpam-6324	111	12	soft	soft	ADJ
ejpam-6324	111	13	b	b	NOUN
ejpam-6324	111	14	-	-	PUNCT
ejpam-6324	111	15	separation	separation	NOUN
ejpam-6324	111	16	axioms	axiom	NOUN
ejpam-6324	111	17	in	in	ADP
ejpam-6324	111	18	neutrosophic	neutrosophic	ADJ
ejpam-6324	111	19	soft	soft	ADJ
ejpam-6324	111	20	topological	topological	ADJ
ejpam-6324	111	21	structures	structure	NOUN
ejpam-6324	111	22	are	be	AUX
ejpam-6324	111	23	also	also	ADV
ejpam-6324	111	24	reflected	reflect	VERB
ejpam-6324	111	25	here	here	ADV
ejpam-6324	111	26	.	.	PUNCT
ejpam-6324	112	1	gulistan	gulistan	PROPN
ejpam-6324	112	2	et	et	PROPN
ejpam-6324	112	3	al	al	PROPN
ejpam-6324	112	4	.	.	PUNCT
ejpam-6324	113	1	[	[	X
ejpam-6324	113	2	27	27	NUM
ejpam-6324	113	3	]	]	PUNCT
ejpam-6324	113	4	introduced	introduce	VERB
ejpam-6324	113	5	the	the	DET
ejpam-6324	113	6	concept	concept	NOUN
ejpam-6324	113	7	of	of	ADP
ejpam-6324	113	8	complex	complex	ADJ
ejpam-6324	113	9	neutrosophic	neutrosophic	ADJ
ejpam-6324	113	10	and	and	CCONJ
ejpam-6324	113	11	defined	define	VERB
ejpam-6324	113	12	the	the	DET
ejpam-6324	113	13	notion	notion	NOUN
ejpam-6324	113	14	of	of	ADP
ejpam-6324	113	15	alpha	alpha	NOUN
ejpam-6324	113	16	-	-	PUNCT
ejpam-6324	113	17	cut	cut	NOUN
ejpam-6324	113	18	of	of	ADP
ejpam-6324	113	19	complex	complex	ADJ
ejpam-6324	113	20	neutrosophic	neutrosophic	ADJ
ejpam-6324	113	21	set	set	NOUN
ejpam-6324	113	22	.	.	PUNCT
ejpam-6324	114	1	the	the	DET
ejpam-6324	114	2	authors	author	NOUN
ejpam-6324	114	3	also	also	ADV
ejpam-6324	114	4	define	define	VERB
ejpam-6324	114	5	the	the	DET
ejpam-6324	114	6	cartesian	cartesian	ADJ
ejpam-6324	114	7	product	product	NOUN
ejpam-6324	114	8	of	of	ADP
ejpam-6324	114	9	complex	complex	ADJ
ejpam-6324	114	10	neutrosophic	neutrosophic	ADJ
ejpam-6324	114	11	subgroups	subgroup	NOUN
ejpam-6324	114	12	.	.	PUNCT
ejpam-6324	115	1	furthermore	furthermore	ADV
ejpam-6324	115	2	,	,	PUNCT
ejpam-6324	115	3	introduced	introduce	VERB
ejpam-6324	115	4	the	the	DET
ejpam-6324	115	5	concept	concept	NOUN
ejpam-6324	115	6	of	of	ADP
ejpam-6324	115	7	image	image	NOUN
ejpam-6324	115	8	and	and	CCONJ
ejpam-6324	115	9	preimage	preimage	NOUN
ejpam-6324	115	10	of	of	ADP
ejpam-6324	115	11	complex	complex	ADJ
ejpam-6324	115	12	neutrosophic	neutrosophic	ADJ
ejpam-6324	115	13	set	set	NOUN
ejpam-6324	115	14	and	and	CCONJ
ejpam-6324	115	15	prove	prove	VERB
ejpam-6324	115	16	some	some	PRON
ejpam-6324	115	17	of	of	ADP
ejpam-6324	115	18	its	its	PRON
ejpam-6324	115	19	properties	property	NOUN
ejpam-6324	115	20	.	.	PUNCT
ejpam-6324	116	1	gulistan	gulistan	PROPN
ejpam-6324	116	2	et	et	PROPN
ejpam-6324	116	3	al	al	PROPN
ejpam-6324	116	4	.	.	PUNCT
ejpam-6324	117	1	[	[	X
ejpam-6324	117	2	28]aimed	28]aime	VERB
ejpam-6324	117	3	at	at	ADP
ejpam-6324	117	4	discussing	discuss	VERB
ejpam-6324	117	5	a	a	DET
ejpam-6324	117	6	new	new	ADJ
ejpam-6324	117	7	concept	concept	NOUN
ejpam-6324	117	8	called	call	VERB
ejpam-6324	117	9	n	n	CCONJ
ejpam-6324	117	10	-	-	PUNCT
ejpam-6324	117	11	neutrosophic	neutrosophic	ADJ
ejpam-6324	117	12	cubic	cubic	ADJ
ejpam-6324	117	13	sets	set	NOUN
ejpam-6324	117	14	aimed	aim	VERB
ejpam-6324	117	15	at	at	ADP
ejpam-6324	117	16	assessing	assess	VERB
ejpam-6324	117	17	the	the	DET
ejpam-6324	117	18	negative	negative	ADJ
ejpam-6324	117	19	aspect	aspect	NOUN
ejpam-6324	117	20	of	of	ADP
ejpam-6324	117	21	the	the	DET
ejpam-6324	117	22	internet	internet	NOUN
ejpam-6324	117	23	.	.	PUNCT
ejpam-6324	118	1	the	the	DET
ejpam-6324	118	2	theoretical	theoretical	ADJ
ejpam-6324	118	3	foundation	foundation	NOUN
ejpam-6324	118	4	for	for	ADP
ejpam-6324	118	5	soft	soft	ADJ
ejpam-6324	118	6	separation	separation	NOUN
ejpam-6324	118	7	axioms	axiom	NOUN
ejpam-6324	118	8	was	be	AUX
ejpam-6324	118	9	laid	lay	VERB
ejpam-6324	118	10	through	through	ADP
ejpam-6324	118	11	the	the	DET
ejpam-6324	118	12	study	study	NOUN
ejpam-6324	118	13	of	of	ADP
ejpam-6324	118	14	supra	supra	ADJ
ejpam-6324	118	15	soft	soft	ADJ
ejpam-6324	118	16	sets	set	NOUN
ejpam-6324	118	17	and	and	CCONJ
ejpam-6324	118	18	their	their	PRON
ejpam-6324	118	19	topological	topological	ADJ
ejpam-6324	118	20	properties	property	NOUN
ejpam-6324	118	21	,	,	PUNCT
ejpam-6324	118	22	including	include	VERB
ejpam-6324	118	23	continuity	continuity	NOUN
ejpam-6324	118	24	and	and	CCONJ
ejpam-6324	118	25	compactness	compactness	NOUN
ejpam-6324	118	26	[	[	X
ejpam-6324	118	27	29–31	29–31	NOUN
ejpam-6324	118	28	]	]	PUNCT
ejpam-6324	118	29	.	.	PUNCT
ejpam-6324	119	1	these	these	DET
ejpam-6324	119	2	early	early	ADJ
ejpam-6324	119	3	developments	development	NOUN
ejpam-6324	119	4	provide	provide	VERB
ejpam-6324	119	5	a	a	DET
ejpam-6324	119	6	springboard	springboard	NOUN
ejpam-6324	119	7	for	for	ADP
ejpam-6324	119	8	analyzing	analyze	VERB
ejpam-6324	119	9	more	more	ADV
ejpam-6324	119	10	complex	complex	ADJ
ejpam-6324	119	11	uncertainty	uncertainty	NOUN
ejpam-6324	119	12	models	model	NOUN
ejpam-6324	119	13	.	.	PUNCT
ejpam-6324	120	1	recent	recent	ADJ
ejpam-6324	120	2	advancements	advancement	NOUN
ejpam-6324	120	3	involving	involve	VERB
ejpam-6324	120	4	neutrosophic	neutrosophic	ADJ
ejpam-6324	120	5	structures	structure	NOUN
ejpam-6324	120	6	such	such	ADJ
ejpam-6324	120	7	as	as	ADP
ejpam-6324	120	8	(	(	PUNCT
ejpam-6324	120	9	ζ1	ζ1	NOUN
ejpam-6324	120	10	,	,	PUNCT
ejpam-6324	120	11	ζ2)-neutrosophic	ζ2)-neutrosophic	ADJ
ejpam-6324	120	12	ideals	ideal	NOUN
ejpam-6324	120	13	[	[	X
ejpam-6324	120	14	32	32	NUM
ejpam-6324	120	15	]	]	PUNCT
ejpam-6324	120	16	,	,	PUNCT
ejpam-6324	120	17	two	two	NUM
ejpam-6324	120	18	-	-	ADJ
ejpam-6324	120	19	fold	fold	ADJ
ejpam-6324	120	20	fuzzy	fuzzy	ADJ
ejpam-6324	120	21	neutrosophic	neutrosophic	ADJ
ejpam-6324	120	22	rings	ring	NOUN
ejpam-6324	120	23	[	[	X
ejpam-6324	120	24	33	33	NUM
ejpam-6324	120	25	]	]	PUNCT
ejpam-6324	120	26	,	,	PUNCT
ejpam-6324	120	27	and	and	CCONJ
ejpam-6324	120	28	fuzzy	fuzzy	ADJ
ejpam-6324	120	29	algebras	algebra	NOUN
ejpam-6324	120	30	over	over	ADP
ejpam-6324	120	31	neutrosophic	neutrosophic	ADJ
ejpam-6324	120	32	reals	real	NOUN
ejpam-6324	120	33	[	[	X
ejpam-6324	120	34	34	34	NUM
ejpam-6324	120	35	]	]	PUNCT
ejpam-6324	120	36	highlight	highlight	VERB
ejpam-6324	120	37	the	the	DET
ejpam-6324	120	38	growing	grow	VERB
ejpam-6324	120	39	sophistication	sophistication	NOUN
ejpam-6324	120	40	of	of	ADP
ejpam-6324	120	41	algebraic	algebraic	ADJ
ejpam-6324	120	42	and	and	CCONJ
ejpam-6324	120	43	topological	topological	ADJ
ejpam-6324	120	44	frameworks	framework	NOUN
ejpam-6324	120	45	under	under	ADP
ejpam-6324	120	46	multi	multi	ADJ
ejpam-6324	120	47	-	-	ADJ
ejpam-6324	120	48	valued	value	VERB
ejpam-6324	120	49	uncertainty	uncertainty	NOUN
ejpam-6324	120	50	.	.	PUNCT
ejpam-6324	121	1	these	these	DET
ejpam-6324	121	2	insights	insight	NOUN
ejpam-6324	121	3	,	,	PUNCT
ejpam-6324	121	4	when	when	SCONJ
ejpam-6324	121	5	extended	extend	VERB
ejpam-6324	121	6	to	to	ADP
ejpam-6324	121	7	quadri	quadri	NOUN
ejpam-6324	121	8	-	-	PUNCT
ejpam-6324	121	9	partition	partition	NOUN
ejpam-6324	121	10	neutrosophic	neutrosophic	ADJ
ejpam-6324	121	11	soft	soft	ADJ
ejpam-6324	121	12	topological	topological	ADJ
ejpam-6324	121	13	spaces	space	NOUN
ejpam-6324	121	14	,	,	PUNCT
ejpam-6324	121	15	enable	enable	VERB
ejpam-6324	121	16	the	the	DET
ejpam-6324	121	17	formulation	formulation	NOUN
ejpam-6324	121	18	and	and	CCONJ
ejpam-6324	121	19	refinement	refinement	NOUN
ejpam-6324	121	20	of	of	ADP
ejpam-6324	121	21	separation	separation	NOUN
ejpam-6324	121	22	axioms	axiom	VERB
ejpam-6324	121	23	suitable	suitable	ADJ
ejpam-6324	121	24	for	for	ADP
ejpam-6324	121	25	multi	multi	ADJ
ejpam-6324	121	26	-	-	ADJ
ejpam-6324	121	27	perspective	perspective	ADJ
ejpam-6324	121	28	decision	decision	NOUN
ejpam-6324	121	29	-	-	PUNCT
ejpam-6324	121	30	making	making	NOUN
ejpam-6324	121	31	and	and	CCONJ
ejpam-6324	121	32	ai	ai	ADJ
ejpam-6324	121	33	-	-	PUNCT
ejpam-6324	121	34	augmented	augment	VERB
ejpam-6324	121	35	systems	system	NOUN
ejpam-6324	121	36	[	[	X
ejpam-6324	121	37	35	35	NUM
ejpam-6324	121	38	,	,	PUNCT
ejpam-6324	121	39	36	36	NUM
ejpam-6324	121	40	]	]	PUNCT
ejpam-6324	121	41	.	.	PUNCT
ejpam-6324	122	1	the	the	DET
ejpam-6324	122	2	notion	notion	NOUN
ejpam-6324	122	3	of	of	ADP
ejpam-6324	122	4	n	n	CCONJ
ejpam-6324	122	5	-	-	PUNCT
ejpam-6324	122	6	cubic	cubic	ADJ
ejpam-6324	122	7	indeterminacy	indeterminacy	NOUN
ejpam-6324	122	8	function	function	NOUN
ejpam-6324	122	9	and	and	CCONJ
ejpam-6324	122	10	n	n	CCONJ
ejpam-6324	122	11	-	-	PUNCT
ejpam-6324	122	12	cubic	cubic	ADJ
ejpam-6324	122	13	falsity	falsity	NOUN
ejpam-6324	122	14	function	function	NOUN
ejpam-6324	122	15	has	have	AUX
ejpam-6324	122	16	been	be	AUX
ejpam-6324	122	17	added	add	VERB
ejpam-6324	122	18	with	with	ADP
ejpam-6324	122	19	the	the	DET
ejpam-6324	122	20	n	n	ADV
ejpam-6324	122	21	-	-	PUNCT
ejpam-6324	122	22	cubic	cubic	ADJ
ejpam-6324	122	23	set	set	NOUN
ejpam-6324	122	24	to	to	PART
ejpam-6324	122	25	obtain	obtain	VERB
ejpam-6324	122	26	a	a	DET
ejpam-6324	122	27	novel	novel	ADJ
ejpam-6324	122	28	concept	concept	NOUN
ejpam-6324	122	29	of	of	ADP
ejpam-6324	122	30	n	n	CCONJ
ejpam-6324	122	31	-	-	PUNCT
ejpam-6324	122	32	neutrosophic	neutrosophic	ADJ
ejpam-6324	122	33	cubic	cubic	ADJ
ejpam-6324	122	34	sets	set	NOUN
ejpam-6324	122	35	.	.	PUNCT
ejpam-6324	123	1	the	the	DET
ejpam-6324	123	2	novelty	novelty	NOUN
ejpam-6324	123	3	of	of	ADP
ejpam-6324	123	4	the	the	DET
ejpam-6324	123	5	n	n	CCONJ
ejpam-6324	123	6	-	-	PUNCT
ejpam-6324	123	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	123	8	cubic	cubic	ADJ
ejpam-6324	123	9	set	set	NOUN
ejpam-6324	123	10	may	may	AUX
ejpam-6324	123	11	be	be	AUX
ejpam-6324	123	12	associated	associate	VERB
ejpam-6324	123	13	with	with	ADP
ejpam-6324	123	14	the	the	DET
ejpam-6324	123	15	fact	fact	NOUN
ejpam-6324	123	16	that	that	SCONJ
ejpam-6324	123	17	there	there	PRON
ejpam-6324	123	18	is	be	VERB
ejpam-6324	123	19	a	a	DET
ejpam-6324	123	20	large	large	ADJ
ejpam-6324	123	21	range	range	NOUN
ejpam-6324	123	22	of	of	ADP
ejpam-6324	123	23	values	value	NOUN
ejpam-6324	123	24	to	to	PART
ejpam-6324	123	25	discuss	discuss	VERB
ejpam-6324	123	26	uncertainty	uncertainty	NOUN
ejpam-6324	123	27	and	and	CCONJ
ejpam-6324	123	28	vagueness	vagueness	NOUN
ejpam-6324	123	29	as	as	ADP
ejpam-6324	123	30	compared	compare	VERB
ejpam-6324	123	31	to	to	ADP
ejpam-6324	123	32	the	the	DET
ejpam-6324	123	33	n	n	ADV
ejpam-6324	123	34	-	-	PUNCT
ejpam-6324	123	35	cubic	cubic	ADJ
ejpam-6324	123	36	set	set	NOUN
ejpam-6324	123	37	.	.	PUNCT
ejpam-6324	124	1	the	the	DET
ejpam-6324	124	2	basic	basic	ADJ
ejpam-6324	124	3	operations	operation	NOUN
ejpam-6324	124	4	of	of	ADP
ejpam-6324	124	5	the	the	DET
ejpam-6324	124	6	n	n	ADV
ejpam-6324	124	7	-	-	PUNCT
ejpam-6324	124	8	neutrosophic	neutrosophic	ADJ
ejpam-6324	124	9	cubic	cubic	ADJ
ejpam-6324	124	10	sets	set	NOUN
ejpam-6324	124	11	along	along	ADP
ejpam-6324	124	12	with	with	ADP
ejpam-6324	124	13	some	some	DET
ejpam-6324	124	14	interesting	interesting	ADJ
ejpam-6324	124	15	properties	property	NOUN
ejpam-6324	124	16	are	be	AUX
ejpam-6324	124	17	discussed	discuss	VERB
ejpam-6324	124	18	.	.	PUNCT
ejpam-6324	125	1	analysis	analysis	NOUN
ejpam-6324	125	2	has	have	AUX
ejpam-6324	125	3	also	also	ADV
ejpam-6324	125	4	been	be	AUX
ejpam-6324	125	5	focused	focus	VERB
ejpam-6324	125	6	on	on	ADP
ejpam-6324	125	7	examining	examine	VERB
ejpam-6324	125	8	the	the	DET
ejpam-6324	125	9	negative	negative	ADJ
ejpam-6324	125	10	rating	rating	NOUN
ejpam-6324	125	11	function	function	NOUN
ejpam-6324	125	12	and	and	CCONJ
ejpam-6324	125	13	aggregating	aggregate	VERB
ejpam-6324	125	14	operators	operator	NOUN
ejpam-6324	125	15	of	of	ADP
ejpam-6324	125	16	n	n	CCONJ
ejpam-6324	125	17	-	-	PUNCT
ejpam-6324	125	18	neutrosophic	neutrosophic	ADJ
ejpam-6324	125	19	cubic	cubic	ADJ
ejpam-6324	125	20	sets	set	NOUN
ejpam-6324	125	21	.	.	PUNCT
ejpam-6324	126	1	finally	finally	ADV
ejpam-6324	126	2	,	,	PUNCT
ejpam-6324	126	3	as	as	ADP
ejpam-6324	126	4	an	an	DET
ejpam-6324	126	5	application	application	NOUN
ejpam-6324	126	6	,	,	PUNCT
ejpam-6324	126	7	a	a	DET
ejpam-6324	126	8	numerical	numerical	ADJ
ejpam-6324	126	9	example	example	NOUN
ejpam-6324	126	10	is	be	AUX
ejpam-6324	126	11	given	give	VERB
ejpam-6324	126	12	to	to	PART
ejpam-6324	126	13	test	test	VERB
ejpam-6324	126	14	the	the	DET
ejpam-6324	126	15	applicability	applicability	NOUN
ejpam-6324	126	16	of	of	ADP
ejpam-6324	126	17	the	the	DET
ejpam-6324	126	18	proposed	propose	VERB
ejpam-6324	126	19	model	model	NOUN
ejpam-6324	126	20	.	.	PUNCT
ejpam-6324	127	1	1.2	1.2	NUM
ejpam-6324	127	2	.	.	PUNCT
ejpam-6324	127	3	research	research	NOUN
ejpam-6324	127	4	gap	gap	NOUN
ejpam-6324	127	5	despite	despite	SCONJ
ejpam-6324	127	6	the	the	DET
ejpam-6324	127	7	significant	significant	ADJ
ejpam-6324	127	8	contributions	contribution	NOUN
ejpam-6324	127	9	of	of	ADP
ejpam-6324	127	10	saeed	saeed	PROPN
ejpam-6324	127	11	et	et	PROPN
ejpam-6324	127	12	al	al	PROPN
ejpam-6324	127	13	.	.	PUNCT
ejpam-6324	128	1	[	[	X
ejpam-6324	128	2	37	37	NUM
ejpam-6324	128	3	]	]	PUNCT
ejpam-6324	128	4	in	in	ADP
ejpam-6324	128	5	advancing	advance	VERB
ejpam-6324	128	6	the	the	DET
ejpam-6324	128	7	theory	theory	NOUN
ejpam-6324	128	8	of	of	ADP
ejpam-6324	128	9	quadri	quadri	NOUN
ejpam-6324	128	10	-	-	PUNCT
ejpam-6324	128	11	partitioned	partition	VERB
ejpam-6324	128	12	neutrosophic	neutrosophic	ADJ
ejpam-6324	128	13	soft	soft	ADJ
ejpam-6324	128	14	sets	set	NOUN
ejpam-6324	128	15	(	(	PUNCT
ejpam-6324	128	16	qpnss	qpnss	NOUN
ejpam-6324	128	17	)	)	PUNCT
ejpam-6324	128	18	and	and	CCONJ
ejpam-6324	128	19	quadri	quadri	NOUN
ejpam-6324	128	20	-	-	PUNCT
ejpam-6324	128	21	partitioned	partition	VERB
ejpam-6324	128	22	neutrosophic	neutrosophic	ADJ
ejpam-6324	128	23	soft	soft	ADJ
ejpam-6324	128	24	topological	topological	ADJ
ejpam-6324	128	25	spaces	space	NOUN
ejpam-6324	128	26	(	(	PUNCT
ejpam-6324	128	27	qpnsts	qpnst	NOUN
ejpam-6324	128	28	)	)	PUNCT
ejpam-6324	128	29	,	,	PUNCT
ejpam-6324	128	30	an	an	DET
ejpam-6324	128	31	important	important	ADJ
ejpam-6324	128	32	aspect	aspect	NOUN
ejpam-6324	128	33	remains	remain	VERB
ejpam-6324	128	34	underexplored	underexplored	ADJ
ejpam-6324	128	35	:	:	PUNCT
ejpam-6324	128	36	the	the	DET
ejpam-6324	128	37	investigation	investigation	NOUN
ejpam-6324	128	38	of	of	ADP
ejpam-6324	128	39	separation	separation	NOUN
ejpam-6324	128	40	axioms	axiom	NOUN
ejpam-6324	128	41	within	within	ADP
ejpam-6324	128	42	the	the	DET
ejpam-6324	128	43	context	context	NOUN
ejpam-6324	128	44	of	of	ADP
ejpam-6324	128	45	qpnsts	qpnst	NOUN
ejpam-6324	128	46	.	.	PUNCT
ejpam-6324	129	1	while	while	SCONJ
ejpam-6324	129	2	the	the	DET
ejpam-6324	129	3	existing	exist	VERB
ejpam-6324	129	4	work	work	NOUN
ejpam-6324	129	5	m.	m.	NOUN
ejpam-6324	129	6	m.	m.	PROPN
ejpam-6324	129	7	saeed	saeed	PROPN
ejpam-6324	129	8	et	et	PROPN
ejpam-6324	129	9	al	al	PROPN
ejpam-6324	129	10	.	.	PUNCT
ejpam-6324	129	11	/	/	SYM
ejpam-6324	129	12	eur	eur	PROPN
ejpam-6324	129	13	.	.	PUNCT
ejpam-6324	130	1	j.	j.	PROPN
ejpam-6324	130	2	pure	pure	PROPN
ejpam-6324	130	3	appl	appl	PROPN
ejpam-6324	130	4	.	.	PROPN
ejpam-6324	130	5	math	math	PROPN
ejpam-6324	130	6	,	,	PUNCT
ejpam-6324	130	7	18	18	NUM
ejpam-6324	130	8	(	(	PUNCT
ejpam-6324	130	9	3	3	NUM
ejpam-6324	130	10	)	)	PUNCT
ejpam-6324	130	11	(	(	PUNCT
ejpam-6324	130	12	2025	2025	NUM
ejpam-6324	130	13	)	)	PUNCT
ejpam-6324	130	14	,	,	PUNCT
ejpam-6324	130	15	6324	6324	NUM
ejpam-6324	130	16	5	5	NUM
ejpam-6324	130	17	of	of	ADP
ejpam-6324	130	18	25	25	NUM
ejpam-6324	130	19	provides	provide	VERB
ejpam-6324	130	20	a	a	DET
ejpam-6324	130	21	solid	solid	ADJ
ejpam-6324	130	22	foundation	foundation	NOUN
ejpam-6324	130	23	for	for	ADP
ejpam-6324	130	24	understanding	understand	VERB
ejpam-6324	130	25	the	the	DET
ejpam-6324	130	26	properties	property	NOUN
ejpam-6324	130	27	and	and	CCONJ
ejpam-6324	130	28	operations	operation	NOUN
ejpam-6324	130	29	of	of	ADP
ejpam-6324	130	30	qpns	qpns	NOUN
ejpam-6324	130	31	spaces	space	NOUN
ejpam-6324	130	32	,	,	PUNCT
ejpam-6324	130	33	it	it	PRON
ejpam-6324	130	34	does	do	AUX
ejpam-6324	130	35	not	not	PART
ejpam-6324	130	36	address	address	VERB
ejpam-6324	130	37	the	the	DET
ejpam-6324	130	38	explicit	explicit	ADJ
ejpam-6324	130	39	development	development	NOUN
ejpam-6324	130	40	or	or	CCONJ
ejpam-6324	130	41	exploration	exploration	NOUN
ejpam-6324	130	42	of	of	ADP
ejpam-6324	130	43	separation	separation	NOUN
ejpam-6324	130	44	axioms	axiom	NOUN
ejpam-6324	130	45	in	in	ADP
ejpam-6324	130	46	this	this	DET
ejpam-6324	130	47	extended	extend	VERB
ejpam-6324	130	48	framework	framework	NOUN
ejpam-6324	130	49	.	.	PUNCT
ejpam-6324	131	1	separation	separation	NOUN
ejpam-6324	131	2	axioms	axiom	NOUN
ejpam-6324	131	3	are	be	AUX
ejpam-6324	131	4	essential	essential	ADJ
ejpam-6324	131	5	in	in	ADP
ejpam-6324	131	6	classical	classical	ADJ
ejpam-6324	131	7	topology	topology	NOUN
ejpam-6324	131	8	and	and	CCONJ
ejpam-6324	131	9	its	its	PRON
ejpam-6324	131	10	generalizations	generalization	NOUN
ejpam-6324	131	11	,	,	PUNCT
ejpam-6324	131	12	as	as	SCONJ
ejpam-6324	131	13	they	they	PRON
ejpam-6324	131	14	help	help	VERB
ejpam-6324	131	15	define	define	VERB
ejpam-6324	131	16	the	the	DET
ejpam-6324	131	17	structure	structure	NOUN
ejpam-6324	131	18	of	of	ADP
ejpam-6324	131	19	topological	topological	ADJ
ejpam-6324	131	20	spaces	space	NOUN
ejpam-6324	131	21	by	by	ADP
ejpam-6324	131	22	distinguishing	distinguish	VERB
ejpam-6324	131	23	between	between	ADP
ejpam-6324	131	24	points	point	NOUN
ejpam-6324	131	25	and	and	CCONJ
ejpam-6324	131	26	sets	set	NOUN
ejpam-6324	131	27	.	.	PUNCT
ejpam-6324	132	1	however	however	ADV
ejpam-6324	132	2	,	,	PUNCT
ejpam-6324	132	3	the	the	DET
ejpam-6324	132	4	extension	extension	NOUN
ejpam-6324	132	5	of	of	ADP
ejpam-6324	132	6	these	these	DET
ejpam-6324	132	7	axioms	axiom	NOUN
ejpam-6324	132	8	to	to	ADP
ejpam-6324	132	9	qpnsts	qpnst	NOUN
ejpam-6324	132	10	,	,	PUNCT
ejpam-6324	132	11	which	which	PRON
ejpam-6324	132	12	incorporate	incorporate	VERB
ejpam-6324	132	13	higher	high	ADJ
ejpam-6324	132	14	levels	level	NOUN
ejpam-6324	132	15	of	of	ADP
ejpam-6324	132	16	uncertainty	uncertainty	NOUN
ejpam-6324	132	17	through	through	ADP
ejpam-6324	132	18	quadri	quadri	NOUN
ejpam-6324	132	19	-	-	PUNCT
ejpam-6324	132	20	partitioned	partition	VERB
ejpam-6324	132	21	membership	membership	NOUN
ejpam-6324	132	22	attributes	attribute	NOUN
ejpam-6324	132	23	,	,	PUNCT
ejpam-6324	132	24	has	have	AUX
ejpam-6324	132	25	not	not	PART
ejpam-6324	132	26	been	be	AUX
ejpam-6324	132	27	adequately	adequately	ADV
ejpam-6324	132	28	studied	study	VERB
ejpam-6324	132	29	or	or	CCONJ
ejpam-6324	132	30	formalized	formalize	VERB
ejpam-6324	132	31	.	.	PUNCT
ejpam-6324	133	1	this	this	DET
ejpam-6324	133	2	gap	gap	NOUN
ejpam-6324	133	3	in	in	ADP
ejpam-6324	133	4	the	the	DET
ejpam-6324	133	5	research	research	NOUN
ejpam-6324	133	6	motivates	motivate	VERB
ejpam-6324	133	7	the	the	DET
ejpam-6324	133	8	present	present	ADJ
ejpam-6324	133	9	study	study	NOUN
ejpam-6324	133	10	,	,	PUNCT
ejpam-6324	133	11	which	which	PRON
ejpam-6324	133	12	aims	aim	VERB
ejpam-6324	133	13	to	to	PART
ejpam-6324	133	14	define	define	VERB
ejpam-6324	133	15	and	and	CCONJ
ejpam-6324	133	16	explore	explore	VERB
ejpam-6324	133	17	the	the	DET
ejpam-6324	133	18	various	various	ADJ
ejpam-6324	133	19	separation	separation	NOUN
ejpam-6324	133	20	axioms	axiom	NOUN
ejpam-6324	133	21	within	within	ADP
ejpam-6324	133	22	the	the	DET
ejpam-6324	133	23	context	context	NOUN
ejpam-6324	133	24	of	of	ADP
ejpam-6324	133	25	qpnsts	qpnst	NOUN
ejpam-6324	133	26	.	.	PUNCT
ejpam-6324	134	1	by	by	ADP
ejpam-6324	134	2	investigating	investigate	VERB
ejpam-6324	134	3	these	these	DET
ejpam-6324	134	4	axioms	axiom	NOUN
ejpam-6324	134	5	,	,	PUNCT
ejpam-6324	134	6	we	we	PRON
ejpam-6324	134	7	seek	seek	VERB
ejpam-6324	134	8	to	to	PART
ejpam-6324	134	9	enhance	enhance	VERB
ejpam-6324	134	10	the	the	DET
ejpam-6324	134	11	theoretical	theoretical	ADJ
ejpam-6324	134	12	framework	framework	NOUN
ejpam-6324	134	13	of	of	ADP
ejpam-6324	134	14	qpnss	qpns	NOUN
ejpam-6324	134	15	and	and	CCONJ
ejpam-6324	134	16	soft	soft	ADJ
ejpam-6324	134	17	topological	topological	ADJ
ejpam-6324	134	18	spaces	space	NOUN
ejpam-6324	134	19	,	,	PUNCT
ejpam-6324	134	20	thus	thus	ADV
ejpam-6324	134	21	extending	extend	VERB
ejpam-6324	134	22	and	and	CCONJ
ejpam-6324	134	23	enriching	enrich	VERB
ejpam-6324	134	24	the	the	DET
ejpam-6324	134	25	work	work	NOUN
ejpam-6324	134	26	of	of	ADP
ejpam-6324	134	27	saeed	saeed	PROPN
ejpam-6324	134	28	et	et	PROPN
ejpam-6324	134	29	al	al	PROPN
ejpam-6324	134	30	.	.	PUNCT
ejpam-6324	135	1	[	[	X
ejpam-6324	135	2	37	37	NUM
ejpam-6324	135	3	]	]	PUNCT
ejpam-6324	135	4	and	and	CCONJ
ejpam-6324	135	5	contributing	contribute	VERB
ejpam-6324	135	6	to	to	ADP
ejpam-6324	135	7	the	the	DET
ejpam-6324	135	8	broader	broad	ADJ
ejpam-6324	135	9	understanding	understanding	NOUN
ejpam-6324	135	10	of	of	ADP
ejpam-6324	135	11	neutrosophic	neutrosophic	ADJ
ejpam-6324	135	12	soft	soft	ADJ
ejpam-6324	135	13	topologies	topology	NOUN
ejpam-6324	135	14	.	.	PUNCT
ejpam-6324	136	1	1.3	1.3	NUM
ejpam-6324	136	2	.	.	PUNCT
ejpam-6324	137	1	motivation	motivation	VERB
ejpam-6324	137	2	the	the	DET
ejpam-6324	137	3	following	follow	VERB
ejpam-6324	137	4	work	work	NOUN
ejpam-6324	137	5	served	serve	VERB
ejpam-6324	137	6	as	as	ADP
ejpam-6324	137	7	the	the	DET
ejpam-6324	137	8	primary	primary	ADJ
ejpam-6324	137	9	source	source	NOUN
ejpam-6324	137	10	of	of	ADP
ejpam-6324	137	11	motivation	motivation	NOUN
ejpam-6324	137	12	for	for	ADP
ejpam-6324	137	13	the	the	DET
ejpam-6324	137	14	present	present	ADJ
ejpam-6324	137	15	study	study	NOUN
ejpam-6324	137	16	.	.	PUNCT
ejpam-6324	138	1	saeed	saeed	PROPN
ejpam-6324	138	2	et	et	PROPN
ejpam-6324	138	3	al	al	PROPN
ejpam-6324	138	4	.	.	PUNCT
ejpam-6324	139	1	[	[	X
ejpam-6324	139	2	37	37	NUM
ejpam-6324	139	3	]	]	PUNCT
ejpam-6324	139	4	introduced	introduce	VERB
ejpam-6324	139	5	an	an	DET
ejpam-6324	139	6	innovative	innovative	ADJ
ejpam-6324	139	7	approach	approach	NOUN
ejpam-6324	139	8	to	to	ADP
ejpam-6324	139	9	handling	handle	VERB
ejpam-6324	139	10	indeterminacy	indeterminacy	NOUN
ejpam-6324	139	11	by	by	ADP
ejpam-6324	139	12	dividing	divide	VERB
ejpam-6324	139	13	it	it	PRON
ejpam-6324	139	14	into	into	ADP
ejpam-6324	139	15	two	two	NUM
ejpam-6324	139	16	distinct	distinct	ADJ
ejpam-6324	139	17	components	component	NOUN
ejpam-6324	139	18	based	base	VERB
ejpam-6324	139	19	on	on	ADP
ejpam-6324	139	20	membership	membership	NOUN
ejpam-6324	139	21	:	:	PUNCT
ejpam-6324	139	22	relative	relative	ADJ
ejpam-6324	139	23	truth	truth	NOUN
ejpam-6324	139	24	(	(	PUNCT
ejpam-6324	139	25	rt	rt	PROPN
ejpam-6324	139	26	)	)	PUNCT
ejpam-6324	139	27	,	,	PUNCT
ejpam-6324	139	28	which	which	PRON
ejpam-6324	139	29	leans	lean	VERB
ejpam-6324	139	30	toward	toward	ADP
ejpam-6324	139	31	truth	truth	NOUN
ejpam-6324	139	32	,	,	PUNCT
ejpam-6324	139	33	and	and	CCONJ
ejpam-6324	139	34	relative	relative	ADJ
ejpam-6324	139	35	falsehood	falsehood	NOUN
ejpam-6324	139	36	(	(	PUNCT
ejpam-6324	139	37	rf	rf	NOUN
ejpam-6324	139	38	)	)	PUNCT
ejpam-6324	139	39	,	,	PUNCT
ejpam-6324	139	40	which	which	PRON
ejpam-6324	139	41	leans	lean	VERB
ejpam-6324	139	42	toward	toward	ADP
ejpam-6324	139	43	falsehood	falsehood	NOUN
ejpam-6324	139	44	.	.	PUNCT
ejpam-6324	140	1	this	this	DET
ejpam-6324	140	2	refinement	refinement	NOUN
ejpam-6324	140	3	enhances	enhance	VERB
ejpam-6324	140	4	the	the	DET
ejpam-6324	140	5	interpretability	interpretability	NOUN
ejpam-6324	140	6	and	and	CCONJ
ejpam-6324	140	7	accuracy	accuracy	NOUN
ejpam-6324	140	8	of	of	ADP
ejpam-6324	140	9	neutrosophic	neutrosophic	ADJ
ejpam-6324	140	10	models	model	NOUN
ejpam-6324	140	11	by	by	ADP
ejpam-6324	140	12	considering	consider	VERB
ejpam-6324	140	13	both	both	PRON
ejpam-6324	140	14	relative	relative	ADJ
ejpam-6324	140	15	truth	truth	NOUN
ejpam-6324	140	16	and	and	CCONJ
ejpam-6324	140	17	relative	relative	ADJ
ejpam-6324	140	18	falsehood	falsehood	NOUN
ejpam-6324	140	19	,	,	PUNCT
ejpam-6324	140	20	instead	instead	ADV
ejpam-6324	140	21	of	of	ADP
ejpam-6324	140	22	a	a	DET
ejpam-6324	140	23	single	single	ADJ
ejpam-6324	140	24	indeterminate	indeterminate	ADJ
ejpam-6324	140	25	value	value	NOUN
ejpam-6324	140	26	.	.	PUNCT
ejpam-6324	141	1	building	build	VERB
ejpam-6324	141	2	on	on	ADP
ejpam-6324	141	3	this	this	DET
ejpam-6324	141	4	idea	idea	NOUN
ejpam-6324	141	5	,	,	PUNCT
ejpam-6324	141	6	the	the	DET
ejpam-6324	141	7	authors	author	NOUN
ejpam-6324	141	8	developed	develop	VERB
ejpam-6324	141	9	a	a	DET
ejpam-6324	141	10	modified	modify	VERB
ejpam-6324	141	11	neutrosophic	neutrosophic	ADJ
ejpam-6324	141	12	structure	structure	NOUN
ejpam-6324	141	13	known	know	VERB
ejpam-6324	141	14	as	as	ADP
ejpam-6324	141	15	the	the	DET
ejpam-6324	141	16	quadri	quadri	NOUN
ejpam-6324	141	17	-	-	PUNCT
ejpam-6324	141	18	partitioned	partition	VERB
ejpam-6324	141	19	neutrosophic	neutrosophic	ADJ
ejpam-6324	141	20	soft	soft	ADJ
ejpam-6324	141	21	set	set	NOUN
ejpam-6324	141	22	(	(	PUNCT
ejpam-6324	141	23	qpnss	qpnss	NOUN
ejpam-6324	141	24	)	)	PUNCT
ejpam-6324	141	25	.	.	PUNCT
ejpam-6324	142	1	this	this	DET
ejpam-6324	142	2	framework	framework	NOUN
ejpam-6324	142	3	incorporates	incorporate	VERB
ejpam-6324	142	4	four	four	NUM
ejpam-6324	142	5	membership	membership	NOUN
ejpam-6324	142	6	attributes	attribute	VERB
ejpam-6324	142	7	:	:	PUNCT
ejpam-6324	142	8	absolute	absolute	ADJ
ejpam-6324	142	9	truth	truth	NOUN
ejpam-6324	142	10	,	,	PUNCT
ejpam-6324	142	11	relative	relative	ADJ
ejpam-6324	142	12	truth	truth	NOUN
ejpam-6324	142	13	,	,	PUNCT
ejpam-6324	142	14	relative	relative	ADJ
ejpam-6324	142	15	falsehood	falsehood	NOUN
ejpam-6324	142	16	,	,	PUNCT
ejpam-6324	142	17	and	and	CCONJ
ejpam-6324	142	18	absolute	absolute	ADJ
ejpam-6324	142	19	falsehood	falsehood	NOUN
ejpam-6324	142	20	,	,	PUNCT
ejpam-6324	142	21	thereby	thereby	ADV
ejpam-6324	142	22	offering	offer	VERB
ejpam-6324	142	23	a	a	DET
ejpam-6324	142	24	more	more	ADV
ejpam-6324	142	25	comprehensive	comprehensive	ADJ
ejpam-6324	142	26	representation	representation	NOUN
ejpam-6324	142	27	of	of	ADP
ejpam-6324	142	28	uncertainty	uncertainty	NOUN
ejpam-6324	142	29	in	in	ADP
ejpam-6324	142	30	soft	soft	ADJ
ejpam-6324	142	31	set	set	NOUN
ejpam-6324	142	32	theory	theory	NOUN
ejpam-6324	142	33	.	.	PUNCT
ejpam-6324	143	1	several	several	ADJ
ejpam-6324	143	2	new	new	ADJ
ejpam-6324	143	3	operations	operation	NOUN
ejpam-6324	143	4	were	be	AUX
ejpam-6324	143	5	introduced	introduce	VERB
ejpam-6324	143	6	on	on	ADP
ejpam-6324	143	7	qpnss	qpnss	NOUN
ejpam-6324	143	8	,	,	PUNCT
ejpam-6324	143	9	including	include	VERB
ejpam-6324	143	10	subsets	subset	NOUN
ejpam-6324	143	11	,	,	PUNCT
ejpam-6324	143	12	complement	complement	NOUN
ejpam-6324	143	13	,	,	PUNCT
ejpam-6324	143	14	absolute	absolute	ADJ
ejpam-6324	143	15	set	set	NOUN
ejpam-6324	143	16	,	,	PUNCT
ejpam-6324	143	17	set	set	ADJ
ejpam-6324	143	18	difference	difference	NOUN
ejpam-6324	143	19	,	,	PUNCT
ejpam-6324	143	20	null	null	NOUN
ejpam-6324	143	21	set	set	NOUN
ejpam-6324	143	22	,	,	PUNCT
ejpam-6324	143	23	and	and	CCONJ
ejpam-6324	143	24	logical	logical	ADJ
ejpam-6324	143	25	operations	operation	NOUN
ejpam-6324	143	26	like	like	VERB
ejpam-6324	143	27	and	and	CCONJ
ejpam-6324	143	28	and	and	CCONJ
ejpam-6324	143	29	or	or	CCONJ
ejpam-6324	143	30	.	.	PUNCT
ejpam-6324	144	1	furthermore	furthermore	ADV
ejpam-6324	144	2	,	,	PUNCT
ejpam-6324	144	3	the	the	DET
ejpam-6324	144	4	concept	concept	NOUN
ejpam-6324	144	5	was	be	AUX
ejpam-6324	144	6	extended	extend	VERB
ejpam-6324	144	7	to	to	PART
ejpam-6324	144	8	define	define	VERB
ejpam-6324	144	9	a	a	DET
ejpam-6324	144	10	quadri	quadri	NOUN
ejpam-6324	144	11	-	-	PUNCT
ejpam-6324	144	12	partitioned	partition	VERB
ejpam-6324	144	13	neutrosophic	neutrosophic	ADJ
ejpam-6324	144	14	soft	soft	ADJ
ejpam-6324	144	15	topological	topological	ADJ
ejpam-6324	144	16	space	space	NOUN
ejpam-6324	144	17	(	(	PUNCT
ejpam-6324	144	18	qpnsts	qpnst	NOUN
ejpam-6324	144	19	)	)	PUNCT
ejpam-6324	144	20	,	,	PUNCT
ejpam-6324	144	21	within	within	ADP
ejpam-6324	144	22	which	which	PRON
ejpam-6324	144	23	fundamental	fundamental	ADJ
ejpam-6324	144	24	results	result	NOUN
ejpam-6324	144	25	were	be	AUX
ejpam-6324	144	26	presented	present	VERB
ejpam-6324	144	27	.	.	PUNCT
ejpam-6324	145	1	the	the	DET
ejpam-6324	145	2	study	study	NOUN
ejpam-6324	145	3	also	also	ADV
ejpam-6324	145	4	explored	explore	VERB
ejpam-6324	145	5	key	key	ADJ
ejpam-6324	145	6	topological	topological	ADJ
ejpam-6324	145	7	concepts	concept	NOUN
ejpam-6324	145	8	such	such	ADJ
ejpam-6324	145	9	as	as	ADP
ejpam-6324	145	10	pre	pre	ADJ
ejpam-6324	145	11	-	-	ADJ
ejpam-6324	145	12	open	open	ADJ
ejpam-6324	145	13	(	(	PUNCT
ejpam-6324	145	14	p	p	NOUN
ejpam-6324	145	15	-	-	PUNCT
ejpam-6324	145	16	open	open	ADJ
ejpam-6324	145	17	)	)	PUNCT
ejpam-6324	145	18	sets	set	NOUN
ejpam-6324	145	19	,	,	PUNCT
ejpam-6324	145	20	interior	interior	NOUN
ejpam-6324	145	21	,	,	PUNCT
ejpam-6324	145	22	and	and	CCONJ
ejpam-6324	145	23	closure	closure	NOUN
ejpam-6324	145	24	,	,	PUNCT
ejpam-6324	145	25	as	as	ADV
ejpam-6324	145	26	well	well	ADV
ejpam-6324	145	27	as	as	ADP
ejpam-6324	145	28	advanced	advanced	ADJ
ejpam-6324	145	29	properties	property	NOUN
ejpam-6324	145	30	including	include	VERB
ejpam-6324	145	31	qpns	qpns	NOUN
ejpam-6324	145	32	compactness	compactness	NOUN
ejpam-6324	145	33	,	,	PUNCT
ejpam-6324	145	34	the	the	DET
ejpam-6324	145	35	reducibility	reducibility	NOUN
ejpam-6324	145	36	to	to	PART
ejpam-6324	145	37	finite	finite	VERB
ejpam-6324	145	38	sub	sub	NOUN
ejpam-6324	145	39	-	-	NOUN
ejpam-6324	145	40	covers	cover	NOUN
ejpam-6324	145	41	,	,	PUNCT
ejpam-6324	145	42	and	and	CCONJ
ejpam-6324	145	43	the	the	DET
ejpam-6324	145	44	behavior	behavior	NOUN
ejpam-6324	145	45	of	of	ADP
ejpam-6324	145	46	constructs	construct	NOUN
ejpam-6324	145	47	like	like	ADP
ejpam-6324	145	48	the	the	DET
ejpam-6324	145	49	intersection	intersection	NOUN
ejpam-6324	145	50	of	of	ADP
ejpam-6324	145	51	qpns	qpns	NOUN
ejpam-6324	145	52	p	p	NOUN
ejpam-6324	145	53	-	-	PUNCT
ejpam-6324	145	54	closed	close	VERB
ejpam-6324	145	55	sets	set	NOUN
ejpam-6324	145	56	and	and	CCONJ
ejpam-6324	145	57	qpns	qpns	NOUN
ejpam-6324	145	58	p	p	ADJ
ejpam-6324	145	59	-	-	PUNCT
ejpam-6324	145	60	compact	compact	ADJ
ejpam-6324	145	61	spaces	space	NOUN
ejpam-6324	145	62	.	.	PUNCT
ejpam-6324	146	1	this	this	DET
ejpam-6324	146	2	foundational	foundational	ADJ
ejpam-6324	146	3	work	work	NOUN
ejpam-6324	146	4	significantly	significantly	ADV
ejpam-6324	146	5	contributes	contribute	VERB
ejpam-6324	146	6	to	to	ADP
ejpam-6324	146	7	the	the	DET
ejpam-6324	146	8	theoretical	theoretical	ADJ
ejpam-6324	146	9	development	development	NOUN
ejpam-6324	146	10	of	of	ADP
ejpam-6324	146	11	qpns	qpns	NOUN
ejpam-6324	146	12	structures	structure	NOUN
ejpam-6324	146	13	,	,	PUNCT
ejpam-6324	146	14	particularly	particularly	ADV
ejpam-6324	146	15	within	within	ADP
ejpam-6324	146	16	the	the	DET
ejpam-6324	146	17	domain	domain	NOUN
ejpam-6324	146	18	of	of	ADP
ejpam-6324	146	19	soft	soft	ADJ
ejpam-6324	146	20	topological	topological	ADJ
ejpam-6324	146	21	spaces	space	NOUN
ejpam-6324	146	22	,	,	PUNCT
ejpam-6324	146	23	and	and	CCONJ
ejpam-6324	146	24	has	have	AUX
ejpam-6324	146	25	directly	directly	ADV
ejpam-6324	146	26	inspired	inspire	VERB
ejpam-6324	146	27	the	the	DET
ejpam-6324	146	28	direction	direction	NOUN
ejpam-6324	146	29	and	and	CCONJ
ejpam-6324	146	30	objectives	objective	NOUN
ejpam-6324	146	31	of	of	ADP
ejpam-6324	146	32	the	the	DET
ejpam-6324	146	33	present	present	ADJ
ejpam-6324	146	34	research	research	NOUN
ejpam-6324	146	35	.	.	PUNCT
ejpam-6324	147	1	1.4	1.4	NUM
ejpam-6324	147	2	.	.	PUNCT
ejpam-6324	147	3	organization	organization	NOUN
ejpam-6324	147	4	of	of	ADP
ejpam-6324	147	5	the	the	DET
ejpam-6324	147	6	paper	paper	NOUN
ejpam-6324	147	7	this	this	DET
ejpam-6324	147	8	work	work	NOUN
ejpam-6324	147	9	is	be	AUX
ejpam-6324	147	10	organized	organize	VERB
ejpam-6324	147	11	into	into	ADP
ejpam-6324	147	12	the	the	DET
ejpam-6324	147	13	following	follow	VERB
ejpam-6324	147	14	sections	section	NOUN
ejpam-6324	147	15	.	.	PUNCT
ejpam-6324	148	1	section	section	NOUN
ejpam-6324	148	2	2	2	NUM
ejpam-6324	148	3	:	:	PUNCT
ejpam-6324	148	4	this	this	DET
ejpam-6324	148	5	section	section	NOUN
ejpam-6324	148	6	establishes	establish	VERB
ejpam-6324	148	7	the	the	DET
ejpam-6324	148	8	core	core	ADJ
ejpam-6324	148	9	theoretical	theoretical	ADJ
ejpam-6324	148	10	framework	framework	NOUN
ejpam-6324	148	11	of	of	ADP
ejpam-6324	148	12	neutrosophic	neutrosophic	ADJ
ejpam-6324	148	13	soft	soft	ADJ
ejpam-6324	148	14	sets	set	NOUN
ejpam-6324	148	15	(	(	PUNCT
ejpam-6324	148	16	nss	ns	NOUN
ejpam-6324	148	17	)	)	PUNCT
ejpam-6324	148	18	.	.	PUNCT
ejpam-6324	149	1	it	it	PRON
ejpam-6324	149	2	rigorously	rigorously	ADV
ejpam-6324	149	3	formalizes	formalize	VERB
ejpam-6324	149	4	the	the	DET
ejpam-6324	149	5	definitions	definition	NOUN
ejpam-6324	149	6	of	of	ADP
ejpam-6324	149	7	fundamental	fundamental	ADJ
ejpam-6324	149	8	set	set	NOUN
ejpam-6324	149	9	-	-	PUNCT
ejpam-6324	149	10	theoretic	theoretic	NOUN
ejpam-6324	149	11	operations	operation	NOUN
ejpam-6324	149	12	complement	complement	NOUN
ejpam-6324	149	13	,	,	PUNCT
ejpam-6324	149	14	subset	subset	NOUN
ejpam-6324	149	15	,	,	PUNCT
ejpam-6324	149	16	union	union	NOUN
ejpam-6324	149	17	,	,	PUNCT
ejpam-6324	149	18	intersection	intersection	NOUN
ejpam-6324	149	19	,	,	PUNCT
ejpam-6324	149	20	and	and	CCONJ
ejpam-6324	149	21	difference	difference	NOUN
ejpam-6324	149	22	within	within	ADP
ejpam-6324	149	23	the	the	DET
ejpam-6324	149	24	context	context	NOUN
ejpam-6324	149	25	of	of	ADP
ejpam-6324	149	26	nss	ns	NOUN
ejpam-6324	149	27	.	.	PUNCT
ejpam-6324	150	1	additionally	additionally	ADV
ejpam-6324	150	2	,	,	PUNCT
ejpam-6324	150	3	it	it	PRON
ejpam-6324	150	4	delineates	delineate	VERB
ejpam-6324	150	5	special	special	ADJ
ejpam-6324	150	6	constructs	construct	NOUN
ejpam-6324	150	7	such	such	ADJ
ejpam-6324	150	8	as	as	ADP
ejpam-6324	150	9	the	the	DET
ejpam-6324	150	10	null	null	ADJ
ejpam-6324	150	11	neutrosophic	neutrosophic	ADJ
ejpam-6324	150	12	soft	soft	ADJ
ejpam-6324	150	13	set	set	NOUN
ejpam-6324	150	14	and	and	CCONJ
ejpam-6324	150	15	the	the	DET
ejpam-6324	150	16	absolute	absolute	ADJ
ejpam-6324	150	17	neutrosophic	neutrosophic	ADJ
ejpam-6324	150	18	soft	soft	ADJ
ejpam-6324	150	19	set	set	NOUN
ejpam-6324	150	20	,	,	PUNCT
ejpam-6324	150	21	m.	m.	NOUN
ejpam-6324	150	22	m.	m.	PROPN
ejpam-6324	150	23	saeed	saeed	PROPN
ejpam-6324	150	24	et	et	PROPN
ejpam-6324	150	25	al	al	PROPN
ejpam-6324	150	26	.	.	PUNCT
ejpam-6324	150	27	/	/	SYM
ejpam-6324	150	28	eur	eur	PROPN
ejpam-6324	150	29	.	.	PUNCT
ejpam-6324	151	1	j.	j.	PROPN
ejpam-6324	151	2	pure	pure	PROPN
ejpam-6324	151	3	appl	appl	PROPN
ejpam-6324	151	4	.	.	PROPN
ejpam-6324	151	5	math	math	PROPN
ejpam-6324	151	6	,	,	PUNCT
ejpam-6324	151	7	18	18	NUM
ejpam-6324	151	8	(	(	PUNCT
ejpam-6324	151	9	3	3	NUM
ejpam-6324	151	10	)	)	PUNCT
ejpam-6324	151	11	(	(	PUNCT
ejpam-6324	151	12	2025	2025	NUM
ejpam-6324	151	13	)	)	PUNCT
ejpam-6324	151	14	,	,	PUNCT
ejpam-6324	151	15	6324	6324	NUM
ejpam-6324	151	16	6	6	NUM
ejpam-6324	151	17	of	of	ADP
ejpam-6324	151	18	25	25	NUM
ejpam-6324	151	19	providing	provide	VERB
ejpam-6324	151	20	a	a	DET
ejpam-6324	151	21	comprehensive	comprehensive	ADJ
ejpam-6324	151	22	basis	basis	NOUN
ejpam-6324	151	23	for	for	ADP
ejpam-6324	151	24	further	further	ADJ
ejpam-6324	151	25	analytical	analytical	ADJ
ejpam-6324	151	26	development	development	NOUN
ejpam-6324	151	27	.	.	PUNCT
ejpam-6324	152	1	section	section	NOUN
ejpam-6324	152	2	3	3	NUM
ejpam-6324	152	3	:	:	PUNCT
ejpam-6324	152	4	in	in	ADP
ejpam-6324	152	5	this	this	DET
ejpam-6324	152	6	section	section	NOUN
ejpam-6324	152	7	,	,	PUNCT
ejpam-6324	152	8	the	the	DET
ejpam-6324	152	9	groundwork	groundwork	NOUN
ejpam-6324	152	10	is	be	AUX
ejpam-6324	152	11	laid	lay	VERB
ejpam-6324	152	12	for	for	ADP
ejpam-6324	152	13	quadri	quadri	NOUN
ejpam-6324	152	14	-	-	PUNCT
ejpam-6324	152	15	partitioned	partition	VERB
ejpam-6324	152	16	neutrosophic	neutrosophic	ADJ
ejpam-6324	152	17	soft	soft	ADJ
ejpam-6324	152	18	sets	set	NOUN
ejpam-6324	152	19	by	by	ADP
ejpam-6324	152	20	introducing	introduce	VERB
ejpam-6324	152	21	their	their	PRON
ejpam-6324	152	22	core	core	ADJ
ejpam-6324	152	23	definitions	definition	NOUN
ejpam-6324	152	24	and	and	CCONJ
ejpam-6324	152	25	fundamental	fundamental	ADJ
ejpam-6324	152	26	properties	property	NOUN
ejpam-6324	152	27	.	.	PUNCT
ejpam-6324	153	1	it	it	PRON
ejpam-6324	153	2	covers	cover	VERB
ejpam-6324	153	3	essential	essential	ADJ
ejpam-6324	153	4	operations	operation	NOUN
ejpam-6324	153	5	such	such	ADJ
ejpam-6324	153	6	as	as	ADP
ejpam-6324	153	7	union	union	NOUN
ejpam-6324	153	8	,	,	PUNCT
ejpam-6324	153	9	intersection	intersection	NOUN
ejpam-6324	153	10	,	,	PUNCT
ejpam-6324	153	11	complement	complement	NOUN
ejpam-6324	153	12	,	,	PUNCT
ejpam-6324	153	13	subset	subset	NOUN
ejpam-6324	153	14	,	,	PUNCT
ejpam-6324	153	15	and	and	CCONJ
ejpam-6324	153	16	equality	equality	NOUN
ejpam-6324	153	17	.	.	PUNCT
ejpam-6324	154	1	these	these	DET
ejpam-6324	154	2	operations	operation	NOUN
ejpam-6324	154	3	form	form	VERB
ejpam-6324	154	4	the	the	DET
ejpam-6324	154	5	basis	basis	NOUN
ejpam-6324	154	6	for	for	ADP
ejpam-6324	154	7	our	our	PRON
ejpam-6324	154	8	next	next	ADJ
ejpam-6324	154	9	sections	section	NOUN
ejpam-6324	154	10	.	.	PUNCT
ejpam-6324	155	1	section	section	NOUN
ejpam-6324	155	2	4	4	NUM
ejpam-6324	155	3	:	:	PUNCT
ejpam-6324	155	4	this	this	DET
ejpam-6324	155	5	section	section	NOUN
ejpam-6324	155	6	introduces	introduce	NOUN
ejpam-6324	155	7	and	and	CCONJ
ejpam-6324	155	8	explores	explore	NOUN
ejpam-6324	155	9	separation	separation	NOUN
ejpam-6324	155	10	axioms	axiom	NOUN
ejpam-6324	155	11	within	within	ADP
ejpam-6324	155	12	the	the	DET
ejpam-6324	155	13	framework	framework	NOUN
ejpam-6324	155	14	of	of	ADP
ejpam-6324	155	15	quadri	quadri	NOUN
ejpam-6324	155	16	-	-	PUNCT
ejpam-6324	155	17	partitioned	partition	VERB
ejpam-6324	155	18	neutrosophic	neutrosophic	ADJ
ejpam-6324	155	19	soft	soft	ADJ
ejpam-6324	155	20	topological	topological	ADJ
ejpam-6324	155	21	spaces	space	NOUN
ejpam-6324	155	22	.	.	PUNCT
ejpam-6324	156	1	we	we	PRON
ejpam-6324	156	2	define	define	VERB
ejpam-6324	156	3	ti	ti	NOUN
ejpam-6324	156	4	,	,	PUNCT
ejpam-6324	156	5	(	(	PUNCT
ejpam-6324	156	6	i	i	NOUN
ejpam-6324	156	7	=	=	NOUN
ejpam-6324	156	8	0	0	NUM
ejpam-6324	156	9	,	,	PUNCT
ejpam-6324	156	10	1	1	NUM
ejpam-6324	156	11	,	,	PUNCT
ejpam-6324	156	12	2	2	NUM
ejpam-6324	156	13	,	,	PUNCT
ejpam-6324	156	14	3	3	NUM
ejpam-6324	156	15	,	,	PUNCT
ejpam-6324	156	16	4	4	X
ejpam-6324	156	17	)	)	PUNCT
ejpam-6324	156	18	separation	separation	NOUN
ejpam-6324	156	19	properties	property	NOUN
ejpam-6324	156	20	for	for	ADP
ejpam-6324	156	21	such	such	ADJ
ejpam-6324	156	22	spaces	space	NOUN
ejpam-6324	156	23	using	use	VERB
ejpam-6324	156	24	quadripartitioned	quadripartitione	VERB
ejpam-6324	156	25	neutrosophic	neutrosophic	ADJ
ejpam-6324	156	26	soft	soft	ADJ
ejpam-6324	156	27	points	point	NOUN
ejpam-6324	156	28	and	and	CCONJ
ejpam-6324	156	29	open	open	ADJ
ejpam-6324	156	30	sets	set	NOUN
ejpam-6324	156	31	.	.	PUNCT
ejpam-6324	157	1	examples	example	NOUN
ejpam-6324	157	2	illustrate	illustrate	VERB
ejpam-6324	157	3	spaces	space	NOUN
ejpam-6324	157	4	that	that	PRON
ejpam-6324	157	5	satisfy	satisfy	VERB
ejpam-6324	157	6	or	or	CCONJ
ejpam-6324	157	7	fail	fail	VERB
ejpam-6324	157	8	each	each	DET
ejpam-6324	157	9	axiom	axiom	NOUN
ejpam-6324	157	10	.	.	PUNCT
ejpam-6324	158	1	key	key	ADJ
ejpam-6324	158	2	theorems	theorem	NOUN
ejpam-6324	158	3	established	establish	VERB
ejpam-6324	158	4	relationships	relationship	NOUN
ejpam-6324	158	5	between	between	ADP
ejpam-6324	158	6	separation	separation	NOUN
ejpam-6324	158	7	axioms	axiom	NOUN
ejpam-6324	158	8	and	and	CCONJ
ejpam-6324	158	9	properties	property	NOUN
ejpam-6324	158	10	like	like	ADP
ejpam-6324	158	11	closeness	closeness	NOUN
ejpam-6324	158	12	and	and	CCONJ
ejpam-6324	158	13	regularity	regularity	NOUN
ejpam-6324	158	14	.	.	PUNCT
ejpam-6324	159	1	section	section	NOUN
ejpam-6324	159	2	5	5	NUM
ejpam-6324	159	3	:	:	PUNCT
ejpam-6324	159	4	this	this	DET
ejpam-6324	159	5	section	section	NOUN
ejpam-6324	159	6	discusses	discuss	VERB
ejpam-6324	159	7	comparative	comparative	ADJ
ejpam-6324	159	8	analysis	analysis	NOUN
ejpam-6324	159	9	.	.	PUNCT
ejpam-6324	160	1	section	section	NOUN
ejpam-6324	160	2	6	6	NUM
ejpam-6324	160	3	:	:	PUNCT
ejpam-6324	160	4	this	this	DET
ejpam-6324	160	5	section	section	NOUN
ejpam-6324	160	6	introduces	introduce	VERB
ejpam-6324	160	7	the	the	DET
ejpam-6324	160	8	conclusion	conclusion	NOUN
ejpam-6324	160	9	and	and	CCONJ
ejpam-6324	160	10	future	future	ADJ
ejpam-6324	160	11	work	work	NOUN
ejpam-6324	160	12	.	.	PUNCT
ejpam-6324	161	1	2	2	X
ejpam-6324	161	2	.	.	X
ejpam-6324	161	3	preliminaries	preliminary	NOUN
ejpam-6324	161	4	this	this	DET
ejpam-6324	161	5	section	section	NOUN
ejpam-6324	161	6	establishes	establish	VERB
ejpam-6324	161	7	the	the	DET
ejpam-6324	161	8	core	core	ADJ
ejpam-6324	161	9	theoretical	theoretical	ADJ
ejpam-6324	161	10	framework	framework	NOUN
ejpam-6324	161	11	of	of	ADP
ejpam-6324	161	12	neutrosophic	neutrosophic	ADJ
ejpam-6324	161	13	soft	soft	ADJ
ejpam-6324	161	14	sets	set	NOUN
ejpam-6324	161	15	(	(	PUNCT
ejpam-6324	161	16	nss	ns	NOUN
ejpam-6324	161	17	)	)	PUNCT
ejpam-6324	161	18	.	.	PUNCT
ejpam-6324	162	1	it	it	PRON
ejpam-6324	162	2	rigorously	rigorously	ADV
ejpam-6324	162	3	formalizes	formalize	VERB
ejpam-6324	162	4	the	the	DET
ejpam-6324	162	5	definitions	definition	NOUN
ejpam-6324	162	6	of	of	ADP
ejpam-6324	162	7	fundamental	fundamental	ADJ
ejpam-6324	162	8	set	set	NOUN
ejpam-6324	162	9	-	-	PUNCT
ejpam-6324	162	10	theoretic	theoretic	NOUN
ejpam-6324	162	11	operations	operation	NOUN
ejpam-6324	162	12	complement	complement	NOUN
ejpam-6324	162	13	,	,	PUNCT
ejpam-6324	162	14	subset	subset	NOUN
ejpam-6324	162	15	,	,	PUNCT
ejpam-6324	162	16	union	union	NOUN
ejpam-6324	162	17	,	,	PUNCT
ejpam-6324	162	18	intersection	intersection	NOUN
ejpam-6324	162	19	,	,	PUNCT
ejpam-6324	162	20	and	and	CCONJ
ejpam-6324	162	21	difference	difference	NOUN
ejpam-6324	162	22	within	within	ADP
ejpam-6324	162	23	the	the	DET
ejpam-6324	162	24	context	context	NOUN
ejpam-6324	162	25	of	of	ADP
ejpam-6324	162	26	nss	ns	NOUN
ejpam-6324	162	27	.	.	PUNCT
ejpam-6324	163	1	additionally	additionally	ADV
ejpam-6324	163	2	,	,	PUNCT
ejpam-6324	163	3	it	it	PRON
ejpam-6324	163	4	delineates	delineate	VERB
ejpam-6324	163	5	special	special	ADJ
ejpam-6324	163	6	constructs	construct	NOUN
ejpam-6324	163	7	such	such	ADJ
ejpam-6324	163	8	as	as	ADP
ejpam-6324	163	9	the	the	DET
ejpam-6324	163	10	null	null	ADJ
ejpam-6324	163	11	neutrosophic	neutrosophic	ADJ
ejpam-6324	163	12	soft	soft	ADJ
ejpam-6324	163	13	set	set	NOUN
ejpam-6324	163	14	and	and	CCONJ
ejpam-6324	163	15	the	the	DET
ejpam-6324	163	16	absolute	absolute	ADJ
ejpam-6324	163	17	neutrosophic	neutrosophic	ADJ
ejpam-6324	163	18	soft	soft	ADJ
ejpam-6324	163	19	set	set	NOUN
ejpam-6324	163	20	,	,	PUNCT
ejpam-6324	163	21	providing	provide	VERB
ejpam-6324	163	22	a	a	DET
ejpam-6324	163	23	comprehensive	comprehensive	ADJ
ejpam-6324	163	24	basis	basis	NOUN
ejpam-6324	163	25	for	for	ADP
ejpam-6324	163	26	further	further	ADJ
ejpam-6324	163	27	analytical	analytical	ADJ
ejpam-6324	163	28	development	development	NOUN
ejpam-6324	163	29	.	.	PUNCT
ejpam-6324	164	1	definition	definition	NOUN
ejpam-6324	164	2	1	1	NUM
ejpam-6324	164	3	.	.	PUNCT
ejpam-6324	165	1	[	[	X
ejpam-6324	165	2	8	8	NUM
ejpam-6324	165	3	]	]	PUNCT
ejpam-6324	165	4	let	let	VERB
ejpam-6324	165	5	é	é	PROPN
ejpam-6324	165	6	be	be	AUX
ejpam-6324	165	7	a	a	DET
ejpam-6324	165	8	set	set	NOUN
ejpam-6324	165	9	of	of	ADP
ejpam-6324	165	10	parameters	parameter	NOUN
ejpam-6324	165	11	and	and	CCONJ
ejpam-6324	165	12	x	x	AUX
ejpam-6324	165	13	be	be	AUX
ejpam-6324	165	14	an	an	DET
ejpam-6324	165	15	initial	initial	ADJ
ejpam-6324	165	16	universe	universe	NOUN
ejpam-6324	165	17	set	set	NOUN
ejpam-6324	165	18	.	.	PUNCT
ejpam-6324	166	1	p	p	X
ejpam-6324	166	2	(	(	PUNCT
ejpam-6324	166	3	x	x	NOUN
ejpam-6324	166	4	)	)	PUNCT
ejpam-6324	166	5	represents	represent	VERB
ejpam-6324	166	6	the	the	DET
ejpam-6324	166	7	collection	collection	NOUN
ejpam-6324	166	8	of	of	ADP
ejpam-6324	166	9	all	all	DET
ejpam-6324	166	10	nsss	nsss	NOUN
ejpam-6324	166	11	for	for	ADP
ejpam-6324	166	12	x.	x.	NOUN
ejpam-6324	166	13	a	a	DET
ejpam-6324	166	14	set	set	NOUN
ejpam-6324	166	15	defined	define	VERB
ejpam-6324	166	16	by	by	ADP
ejpam-6324	166	17	a	a	DET
ejpam-6324	166	18	set	set	NOUN
ejpam-6324	166	19	-	-	PUNCT
ejpam-6324	166	20	valued	value	VERB
ejpam-6324	166	21	function	function	NOUN
ejpam-6324	166	22	f̃	f̃	PROPN
ejpam-6324	166	23	expressing	express	VERB
ejpam-6324	166	24	a	a	DET
ejpam-6324	166	25	mapping	mapping	NOUN
ejpam-6324	166	26	f̃	f̃	PROPN
ejpam-6324	166	27	:	:	PUNCT
ejpam-6324	166	28	é	é	PROPN
ejpam-6324	166	29	→	→	SYM
ejpam-6324	166	30	p	p	X
ejpam-6324	166	31	(	(	PUNCT
ejpam-6324	166	32	x	x	X
ejpam-6324	166	33	)	)	PUNCT
ejpam-6324	166	34	is	be	AUX
ejpam-6324	166	35	then	then	ADV
ejpam-6324	166	36	a	a	DET
ejpam-6324	166	37	nss	nss	NOUN
ejpam-6324	166	38	(	(	PUNCT
ejpam-6324	166	39	f̃	f̃	PROPN
ejpam-6324	166	40	,	,	PUNCT
ejpam-6324	166	41	é	é	PROPN
ejpam-6324	166	42	)	)	PUNCT
ejpam-6324	166	43	over	over	ADP
ejpam-6324	166	44	x	x	NOUN
ejpam-6324	166	45	,	,	PUNCT
ejpam-6324	166	46	where	where	SCONJ
ejpam-6324	166	47	f̃	f̃	PROPN
ejpam-6324	166	48	is	be	AUX
ejpam-6324	166	49	referred	refer	VERB
ejpam-6324	166	50	to	to	ADP
ejpam-6324	166	51	as	as	ADP
ejpam-6324	166	52	the	the	DET
ejpam-6324	166	53	approximate	approximate	ADJ
ejpam-6324	166	54	function	function	NOUN
ejpam-6324	166	55	of	of	ADP
ejpam-6324	166	56	the	the	DET
ejpam-6324	166	57	nss	nss	NOUN
ejpam-6324	166	58	(	(	PUNCT
ejpam-6324	166	59	f̃	f̃	PROPN
ejpam-6324	166	60	,	,	PUNCT
ejpam-6324	166	61	é	é	PROPN
ejpam-6324	166	62	)	)	PUNCT
ejpam-6324	166	63	.	.	PUNCT
ejpam-6324	167	1	stated	state	VERB
ejpam-6324	167	2	differently	differently	ADV
ejpam-6324	167	3	,	,	PUNCT
ejpam-6324	167	4	the	the	DET
ejpam-6324	167	5	nss	nss	NOUN
ejpam-6324	167	6	can	can	AUX
ejpam-6324	167	7	be	be	AUX
ejpam-6324	167	8	expressed	express	VERB
ejpam-6324	167	9	as	as	ADP
ejpam-6324	167	10	a	a	DET
ejpam-6324	167	11	collection	collection	NOUN
ejpam-6324	167	12	of	of	ADP
ejpam-6324	167	13	ordered	order	VERB
ejpam-6324	167	14	pairs	pair	NOUN
ejpam-6324	167	15	:	:	PUNCT
ejpam-6324	167	16	(	(	PUNCT
ejpam-6324	167	17	f̃	f̃	PROPN
ejpam-6324	167	18	,	,	PUNCT
ejpam-6324	167	19	é	é	PROPN
ejpam-6324	167	20	)	)	PUNCT
ejpam-6324	167	21	=	=	PRON
ejpam-6324	167	22	{	{	PUNCT
ejpam-6324	167	23	(	(	PUNCT
ejpam-6324	167	24	è	è	PROPN
ejpam-6324	167	25	,	,	PUNCT
ejpam-6324	167	26	⟨x	⟨x	VERB
ejpam-6324	167	27	,	,	PUNCT
ejpam-6324	167	28	tf̃	tf̃	PRON
ejpam-6324	167	29	(	(	PUNCT
ejpam-6324	167	30	è)(x	è)(x	PROPN
ejpam-6324	167	31	)	)	PUNCT
ejpam-6324	167	32	,	,	PUNCT
ejpam-6324	167	33	if̃	if̃	NUM
ejpam-6324	167	34	(	(	PUNCT
ejpam-6324	167	35	è)(x	è)(x	PROPN
ejpam-6324	167	36	)	)	PUNCT
ejpam-6324	167	37	,	,	PUNCT
ejpam-6324	167	38	ff̃	ff̃	ADV
ejpam-6324	167	39	(	(	PUNCT
ejpam-6324	167	40	è)(x)⟩	è)(x)⟩	X
ejpam-6324	167	41	:	:	PUNCT
ejpam-6324	167	42	x	x	X
ejpam-6324	167	43	∈	∈	NOUN
ejpam-6324	167	44	x	x	X
ejpam-6324	167	45	)	)	PUNCT
ejpam-6324	167	46	:	:	PUNCT
ejpam-6324	167	47	è	è	PROPN
ejpam-6324	167	48	∈	∈	PROPN
ejpam-6324	167	49	é	é	PROPN
ejpam-6324	167	50	}	}	PUNCT
ejpam-6324	167	51	.	.	PUNCT
ejpam-6324	168	1	here	here	ADV
ejpam-6324	168	2	,	,	PUNCT
ejpam-6324	168	3	tf̃	tf̃	X
ejpam-6324	168	4	(	(	PUNCT
ejpam-6324	168	5	è)(x	è)(x	PROPN
ejpam-6324	168	6	)	)	PUNCT
ejpam-6324	168	7	,	,	PUNCT
ejpam-6324	168	8	if̃	if̃	NUM
ejpam-6324	168	9	(	(	PUNCT
ejpam-6324	168	10	è)(x	è)(x	PROPN
ejpam-6324	168	11	)	)	PUNCT
ejpam-6324	168	12	,	,	PUNCT
ejpam-6324	168	13	and	and	CCONJ
ejpam-6324	168	14	ff̃	ff̃	ADV
ejpam-6324	168	15	(	(	PUNCT
ejpam-6324	168	16	è)(x	è)(x	PROPN
ejpam-6324	168	17	)	)	PUNCT
ejpam-6324	168	18	are	be	AUX
ejpam-6324	168	19	the	the	DET
ejpam-6324	168	20	truth	truth	NOUN
ejpam-6324	168	21	-	-	PUNCT
ejpam-6324	168	22	membership	membership	NOUN
ejpam-6324	168	23	,	,	PUNCT
ejpam-6324	168	24	indeterminacymembership	indeterminacymembership	NOUN
ejpam-6324	168	25	,	,	PUNCT
ejpam-6324	168	26	and	and	CCONJ
ejpam-6324	168	27	falsity	falsity	NOUN
ejpam-6324	168	28	-	-	PUNCT
ejpam-6324	168	29	membership	membership	NOUN
ejpam-6324	168	30	functions	function	NOUN
ejpam-6324	168	31	of	of	ADP
ejpam-6324	168	32	f̃	f̃	PROPN
ejpam-6324	168	33	(	(	PUNCT
ejpam-6324	168	34	è	è	PROPN
ejpam-6324	168	35	)	)	PUNCT
ejpam-6324	168	36	,	,	PUNCT
ejpam-6324	168	37	respectively	respectively	ADV
ejpam-6324	168	38	,	,	PUNCT
ejpam-6324	168	39	and	and	CCONJ
ejpam-6324	168	40	they	they	PRON
ejpam-6324	168	41	all	all	PRON
ejpam-6324	168	42	lie	lie	VERB
ejpam-6324	168	43	within	within	ADP
ejpam-6324	168	44	the	the	DET
ejpam-6324	168	45	interval	interval	NOUN
ejpam-6324	168	46	[	[	X
ejpam-6324	168	47	0	0	NUM
ejpam-6324	168	48	,	,	PUNCT
ejpam-6324	168	49	1	1	NUM
ejpam-6324	168	50	]	]	PUNCT
ejpam-6324	168	51	.	.	PUNCT
ejpam-6324	169	1	the	the	DET
ejpam-6324	169	2	inequality	inequality	NOUN
ejpam-6324	169	3	0	0	NUM
ejpam-6324	169	4	≤	≤	NOUN
ejpam-6324	169	5	tf̃	tf̃	NOUN
ejpam-6324	169	6	(	(	PUNCT
ejpam-6324	169	7	è)(x	è)(x	PROPN
ejpam-6324	169	8	)	)	PUNCT
ejpam-6324	169	9	+	+	CCONJ
ejpam-6324	169	10	if̃	if̃	NUM
ejpam-6324	169	11	(	(	PUNCT
ejpam-6324	169	12	è)(x	è)(x	PROPN
ejpam-6324	169	13	)	)	PUNCT
ejpam-6324	169	14	+	+	CCONJ
ejpam-6324	169	15	ff̃	ff̃	ADV
ejpam-6324	169	16	(	(	PUNCT
ejpam-6324	169	17	è)(x	è)(x	PROPN
ejpam-6324	169	18	)	)	PUNCT
ejpam-6324	169	19	≤	≤	NOUN
ejpam-6324	169	20	3	3	NUM
ejpam-6324	169	21	is	be	AUX
ejpam-6324	169	22	evident	evident	ADJ
ejpam-6324	169	23	as	as	ADP
ejpam-6324	169	24	the	the	DET
ejpam-6324	169	25	supremum	supremum	NOUN
ejpam-6324	169	26	of	of	ADP
ejpam-6324	169	27	each	each	DET
ejpam-6324	169	28	t	t	NOUN
ejpam-6324	169	29	,	,	PUNCT
ejpam-6324	169	30	i	i	PRON
ejpam-6324	169	31	,	,	PUNCT
ejpam-6324	169	32	and	and	CCONJ
ejpam-6324	169	33	f	f	PROPN
ejpam-6324	169	34	is	be	AUX
ejpam-6324	169	35	1	1	NUM
ejpam-6324	169	36	and	and	CCONJ
ejpam-6324	169	37	the	the	DET
ejpam-6324	169	38	infimum	infimum	NOUN
ejpam-6324	169	39	is	be	AUX
ejpam-6324	169	40	0	0	NUM
ejpam-6324	169	41	.	.	PUNCT
ejpam-6324	170	1	this	this	PRON
ejpam-6324	170	2	means	mean	VERB
ejpam-6324	170	3	that	that	SCONJ
ejpam-6324	170	4	each	each	DET
ejpam-6324	170	5	value	value	NOUN
ejpam-6324	170	6	is	be	AUX
ejpam-6324	170	7	a	a	DET
ejpam-6324	170	8	typical	typical	ADJ
ejpam-6324	170	9	value	value	NOUN
ejpam-6324	170	10	between	between	ADP
ejpam-6324	170	11	0	0	NUM
ejpam-6324	170	12	and	and	CCONJ
ejpam-6324	170	13	1	1	NUM
ejpam-6324	170	14	.	.	X
ejpam-6324	170	15	definition	definition	NOUN
ejpam-6324	170	16	2	2	NUM
ejpam-6324	170	17	.	.	PUNCT
ejpam-6324	171	1	[	[	X
ejpam-6324	171	2	17	17	NUM
ejpam-6324	171	3	]	]	X
ejpam-6324	171	4	let	let	NOUN
ejpam-6324	171	5	(	(	PUNCT
ejpam-6324	171	6	f̃	f̃	PROPN
ejpam-6324	171	7	,	,	PUNCT
ejpam-6324	171	8	é	é	PROPN
ejpam-6324	171	9	)	)	PUNCT
ejpam-6324	171	10	be	be	AUX
ejpam-6324	171	11	a	a	DET
ejpam-6324	171	12	nss	ns	NOUN
ejpam-6324	171	13	.	.	PUNCT
ejpam-6324	172	1	then	then	ADV
ejpam-6324	172	2	(	(	PUNCT
ejpam-6324	172	3	f̃	f̃	PROPN
ejpam-6324	172	4	,	,	PUNCT
ejpam-6324	172	5	é)c	é)c	X
ejpam-6324	172	6	is	be	AUX
ejpam-6324	172	7	the	the	DET
ejpam-6324	172	8	complement	complement	NOUN
ejpam-6324	172	9	of	of	ADP
ejpam-6324	172	10	(	(	PUNCT
ejpam-6324	172	11	f̃	f̃	PROPN
ejpam-6324	172	12	,	,	PUNCT
ejpam-6324	172	13	é	é	PROPN
ejpam-6324	172	14	):	):	PUNCT
ejpam-6324	172	15	(	(	PUNCT
ejpam-6324	172	16	f̃	f̃	PROPN
ejpam-6324	172	17	,	,	PUNCT
ejpam-6324	172	18	é)c	é)c	X
ejpam-6324	172	19	=	=	SYM
ejpam-6324	172	20	{	{	PUNCT
ejpam-6324	172	21	(	(	PUNCT
ejpam-6324	172	22	è	è	PROPN
ejpam-6324	172	23	,	,	PUNCT
ejpam-6324	172	24	⟨x	⟨x	VERB
ejpam-6324	172	25	,	,	PUNCT
ejpam-6324	172	26	ff̃	ff̃	ADV
ejpam-6324	172	27	(	(	PUNCT
ejpam-6324	172	28	è)(x	è)(x	PROPN
ejpam-6324	172	29	)	)	PUNCT
ejpam-6324	172	30	,	,	PUNCT
ejpam-6324	172	31	1−	1−	NUM
ejpam-6324	172	32	if̃	if̃	NUM
ejpam-6324	172	33	(	(	PUNCT
ejpam-6324	172	34	è)(x	è)(x	PROPN
ejpam-6324	172	35	)	)	PUNCT
ejpam-6324	172	36	,	,	PUNCT
ejpam-6324	172	37	tf̃	tf̃	X
ejpam-6324	172	38	(	(	PUNCT
ejpam-6324	172	39	è)(x)⟩	è)(x)⟩	X
ejpam-6324	172	40	:	:	PUNCT
ejpam-6324	172	41	x	x	X
ejpam-6324	172	42	∈	∈	NOUN
ejpam-6324	172	43	x	x	X
ejpam-6324	172	44	)	)	PUNCT
ejpam-6324	172	45	:	:	PUNCT
ejpam-6324	172	46	è	è	PROPN
ejpam-6324	172	47	∈	∈	PROPN
ejpam-6324	172	48	é	é	PROPN
ejpam-6324	172	49	}	}	PUNCT
ejpam-6324	172	50	.	.	PUNCT
ejpam-6324	173	1	it	it	PRON
ejpam-6324	173	2	is	be	AUX
ejpam-6324	173	3	obvious	obvious	ADJ
ejpam-6324	173	4	that	that	SCONJ
ejpam-6324	173	5	:	:	PUNCT
ejpam-6324	173	6	(	(	PUNCT
ejpam-6324	173	7	(	(	PUNCT
ejpam-6324	173	8	f̃	f̃	PROPN
ejpam-6324	173	9	,	,	PUNCT
ejpam-6324	173	10	é)c	é)c	NOUN
ejpam-6324	173	11	)	)	PUNCT
ejpam-6324	173	12	c	c	NOUN
ejpam-6324	173	13	=	=	SYM
ejpam-6324	173	14	(	(	PUNCT
ejpam-6324	173	15	f̃	f̃	PROPN
ejpam-6324	173	16	,	,	PUNCT
ejpam-6324	173	17	é	é	PROPN
ejpam-6324	173	18	)	)	PUNCT
ejpam-6324	173	19	.	.	PUNCT
ejpam-6324	174	1	m.	m.	NOUN
ejpam-6324	174	2	m.	m.	PROPN
ejpam-6324	174	3	saeed	saeed	PROPN
ejpam-6324	174	4	et	et	PROPN
ejpam-6324	174	5	al	al	PROPN
ejpam-6324	174	6	.	.	PUNCT
ejpam-6324	174	7	/	/	SYM
ejpam-6324	174	8	eur	eur	PROPN
ejpam-6324	174	9	.	.	PUNCT
ejpam-6324	175	1	j.	j.	PROPN
ejpam-6324	175	2	pure	pure	PROPN
ejpam-6324	175	3	appl	appl	PROPN
ejpam-6324	175	4	.	.	PROPN
ejpam-6324	175	5	math	math	PROPN
ejpam-6324	175	6	,	,	PUNCT
ejpam-6324	175	7	18	18	NUM
ejpam-6324	175	8	(	(	PUNCT
ejpam-6324	175	9	3	3	NUM
ejpam-6324	175	10	)	)	PUNCT
ejpam-6324	175	11	(	(	PUNCT
ejpam-6324	175	12	2025	2025	NUM
ejpam-6324	175	13	)	)	PUNCT
ejpam-6324	175	14	,	,	PUNCT
ejpam-6324	175	15	6324	6324	NUM
ejpam-6324	175	16	7	7	NUM
ejpam-6324	175	17	of	of	ADP
ejpam-6324	175	18	25	25	NUM
ejpam-6324	175	19	definition	definition	NOUN
ejpam-6324	175	20	3	3	NUM
ejpam-6324	175	21	.	.	PUNCT
ejpam-6324	176	1	[	[	X
ejpam-6324	176	2	7	7	X
ejpam-6324	176	3	]	]	X
ejpam-6324	176	4	let	let	NOUN
ejpam-6324	176	5	(	(	PUNCT
ejpam-6324	176	6	f̃	f̃	PROPN
ejpam-6324	176	7	,	,	PUNCT
ejpam-6324	176	8	é	é	PROPN
ejpam-6324	176	9	)	)	PUNCT
ejpam-6324	176	10	and	and	CCONJ
ejpam-6324	176	11	(	(	PUNCT
ejpam-6324	176	12	g̃	g̃	PROPN
ejpam-6324	176	13	,	,	PUNCT
ejpam-6324	176	14	é	é	PROPN
ejpam-6324	176	15	)	)	PUNCT
ejpam-6324	176	16	be	be	VERB
ejpam-6324	176	17	two	two	NUM
ejpam-6324	176	18	nsss	nsss	NOUN
ejpam-6324	176	19	.	.	PUNCT
ejpam-6324	177	1	then	then	ADV
ejpam-6324	177	2	(	(	PUNCT
ejpam-6324	177	3	f̃	f̃	PROPN
ejpam-6324	177	4	,	,	PUNCT
ejpam-6324	177	5	é	é	PROPN
ejpam-6324	177	6	)	)	PUNCT
ejpam-6324	177	7	is	be	AUX
ejpam-6324	177	8	said	say	VERB
ejpam-6324	177	9	to	to	PART
ejpam-6324	177	10	be	be	AUX
ejpam-6324	177	11	a	a	DET
ejpam-6324	177	12	neutrosophic	neutrosophic	ADJ
ejpam-6324	177	13	soft	soft	ADJ
ejpam-6324	177	14	subset	subset	NOUN
ejpam-6324	177	15	of	of	ADP
ejpam-6324	177	16	(	(	PUNCT
ejpam-6324	177	17	g̃	g̃	PROPN
ejpam-6324	177	18	,	,	PUNCT
ejpam-6324	177	19	é	é	PROPN
ejpam-6324	177	20	)	)	PUNCT
ejpam-6324	177	21	if	if	SCONJ
ejpam-6324	177	22	:	:	PUNCT
ejpam-6324	177	23	tf̃	tf̃	X
ejpam-6324	177	24	(	(	PUNCT
ejpam-6324	177	25	è)(x	è)(x	PROPN
ejpam-6324	177	26	)	)	PUNCT
ejpam-6324	177	27	≤	≤	NOUN
ejpam-6324	177	28	tg̃(è)(x	tg̃(è)(x	NOUN
ejpam-6324	177	29	)	)	PUNCT
ejpam-6324	177	30	,	,	PUNCT
ejpam-6324	177	31	if̃	if̃	NUM
ejpam-6324	177	32	(	(	PUNCT
ejpam-6324	177	33	è)(x	è)(x	PROPN
ejpam-6324	177	34	)	)	PUNCT
ejpam-6324	177	35	≤	≤	NUM
ejpam-6324	177	36	ig̃(è)(x	ig̃(è)(x	NOUN
ejpam-6324	177	37	)	)	PUNCT
ejpam-6324	177	38	,	,	PUNCT
ejpam-6324	177	39	ff̃	ff̃	ADV
ejpam-6324	177	40	(	(	PUNCT
ejpam-6324	177	41	è)(x	è)(x	PROPN
ejpam-6324	177	42	)	)	PUNCT
ejpam-6324	177	43	≥	≥	NOUN
ejpam-6324	177	44	fg̃(è)(x	fg̃(è)(x	NOUN
ejpam-6324	177	45	)	)	PUNCT
ejpam-6324	177	46	,	,	PUNCT
ejpam-6324	177	47	∀è	∀è	NUM
ejpam-6324	177	48	∈	∈	PROPN
ejpam-6324	177	49	é,∀x	é,∀x	PUNCT
ejpam-6324	178	1	∈	∈	PROPN
ejpam-6324	178	2	x.	x.	NOUN
ejpam-6324	179	1	it	it	PRON
ejpam-6324	179	2	is	be	AUX
ejpam-6324	179	3	denoted	denote	VERB
ejpam-6324	179	4	by	by	ADP
ejpam-6324	179	5	:	:	PUNCT
ejpam-6324	179	6	(	(	PUNCT
ejpam-6324	179	7	f̃	f̃	PROPN
ejpam-6324	179	8	,	,	PUNCT
ejpam-6324	179	9	é	é	PROPN
ejpam-6324	179	10	)	)	PUNCT
ejpam-6324	179	11	⊆	⊆	NUM
ejpam-6324	179	12	(	(	PUNCT
ejpam-6324	179	13	g̃	g̃	PROPN
ejpam-6324	179	14	,	,	PUNCT
ejpam-6324	179	15	é	é	PROPN
ejpam-6324	179	16	)	)	PUNCT
ejpam-6324	179	17	.	.	PUNCT
ejpam-6324	180	1	definition	definition	NOUN
ejpam-6324	180	2	4	4	NUM
ejpam-6324	180	3	.	.	PUNCT
ejpam-6324	181	1	[	[	X
ejpam-6324	181	2	15	15	NUM
ejpam-6324	181	3	]	]	X
ejpam-6324	181	4	let	let	NOUN
ejpam-6324	181	5	(	(	PUNCT
ejpam-6324	181	6	f̃1	f̃1	PROPN
ejpam-6324	181	7	,	,	PUNCT
ejpam-6324	181	8	é	é	PROPN
ejpam-6324	181	9	)	)	PUNCT
ejpam-6324	181	10	and	and	CCONJ
ejpam-6324	181	11	(	(	PUNCT
ejpam-6324	181	12	f̃2	f̃2	PROPN
ejpam-6324	181	13	,	,	PUNCT
ejpam-6324	181	14	é	é	PROPN
ejpam-6324	181	15	)	)	PUNCT
ejpam-6324	181	16	be	be	VERB
ejpam-6324	181	17	two	two	NUM
ejpam-6324	181	18	nsss	nsss	NOUN
ejpam-6324	181	19	.	.	PUNCT
ejpam-6324	182	1	then	then	ADV
ejpam-6324	182	2	their	their	PRON
ejpam-6324	182	3	union	union	NOUN
ejpam-6324	182	4	is	be	AUX
ejpam-6324	182	5	represented	represent	VERB
ejpam-6324	182	6	by	by	ADP
ejpam-6324	182	7	(	(	PUNCT
ejpam-6324	182	8	f̃1	f̃1	PROPN
ejpam-6324	182	9	,	,	PUNCT
ejpam-6324	182	10	é	é	PROPN
ejpam-6324	182	11	)	)	PUNCT
ejpam-6324	182	12	⋓	⋓	NOUN
ejpam-6324	182	13	(	(	PUNCT
ejpam-6324	182	14	f̃2	f̃2	PROPN
ejpam-6324	182	15	,	,	PUNCT
ejpam-6324	182	16	é	é	PROPN
ejpam-6324	182	17	)	)	PUNCT
ejpam-6324	182	18	=	=	SYM
ejpam-6324	182	19	(	(	PUNCT
ejpam-6324	182	20	f̃3	f̃3	PROPN
ejpam-6324	182	21	,	,	PUNCT
ejpam-6324	182	22	é	é	PROPN
ejpam-6324	182	23	)	)	PUNCT
ejpam-6324	182	24	as	as	ADP
ejpam-6324	182	25	:	:	PUNCT
ejpam-6324	182	26	(	(	PUNCT
ejpam-6324	182	27	f̃3	f̃3	PROPN
ejpam-6324	182	28	,	,	PUNCT
ejpam-6324	182	29	é	é	PROPN
ejpam-6324	182	30	)	)	PUNCT
ejpam-6324	182	31	=	=	PRON
ejpam-6324	182	32	{	{	PUNCT
ejpam-6324	182	33	(	(	PUNCT
ejpam-6324	182	34	è	è	PROPN
ejpam-6324	182	35	,	,	PUNCT
ejpam-6324	182	36	⟨x	⟨x	NUM
ejpam-6324	182	37	,	,	PUNCT
ejpam-6324	182	38	tf̃3(è	tf̃3(è	PUNCT
ejpam-6324	182	39	)	)	PUNCT
ejpam-6324	182	40	(	(	PUNCT
ejpam-6324	182	41	x	x	NOUN
ejpam-6324	182	42	)	)	PUNCT
ejpam-6324	182	43	,	,	PUNCT
ejpam-6324	182	44	if̃3(è	if̃3(è	X
ejpam-6324	182	45	)	)	PUNCT
ejpam-6324	182	46	(	(	PUNCT
ejpam-6324	182	47	x	x	X
ejpam-6324	182	48	)	)	PUNCT
ejpam-6324	182	49	,	,	PUNCT
ejpam-6324	182	50	ff̃3(è	ff̃3(è	PROPN
ejpam-6324	182	51	)	)	PUNCT
ejpam-6324	182	52	(	(	PUNCT
ejpam-6324	182	53	x)⟩	x)⟩	X
ejpam-6324	182	54	:	:	PUNCT
ejpam-6324	182	55	x	x	X
ejpam-6324	182	56	∈	∈	NOUN
ejpam-6324	182	57	x	x	X
ejpam-6324	182	58	)	)	PUNCT
ejpam-6324	182	59	:	:	PUNCT
ejpam-6324	182	60	è	è	PROPN
ejpam-6324	182	61	∈	∈	PROPN
ejpam-6324	182	62	é	é	PROPN
ejpam-6324	182	63	}	}	PUNCT
ejpam-6324	182	64	.	.	PUNCT
ejpam-6324	183	1	where	where	SCONJ
ejpam-6324	183	2	:	:	PUNCT
ejpam-6324	183	3	tf̃3(è	tf̃3(è	X
ejpam-6324	183	4	)	)	PUNCT
ejpam-6324	183	5	(	(	PUNCT
ejpam-6324	183	6	x	x	X
ejpam-6324	183	7	)	)	PUNCT
ejpam-6324	183	8	=	=	SYM
ejpam-6324	183	9	max{tf̃1(è	max{tf̃1(è	PROPN
ejpam-6324	183	10	)	)	PUNCT
ejpam-6324	183	11	(	(	PUNCT
ejpam-6324	183	12	x	x	NOUN
ejpam-6324	183	13	)	)	PUNCT
ejpam-6324	183	14	,	,	PUNCT
ejpam-6324	183	15	tf̃2(è	tf̃2(è	PROPN
ejpam-6324	183	16	)	)	PUNCT
ejpam-6324	183	17	(	(	PUNCT
ejpam-6324	183	18	x	x	X
ejpam-6324	183	19	)	)	PUNCT
ejpam-6324	183	20	}	}	PUNCT
ejpam-6324	183	21	,	,	PUNCT
ejpam-6324	183	22	if̃3(è	if̃3(è	X
ejpam-6324	183	23	)	)	PUNCT
ejpam-6324	183	24	(	(	PUNCT
ejpam-6324	183	25	x	x	X
ejpam-6324	183	26	)	)	PUNCT
ejpam-6324	183	27	=	=	SYM
ejpam-6324	183	28	max{if̃1(è	max{if̃1(è	PROPN
ejpam-6324	183	29	)	)	PUNCT
ejpam-6324	183	30	(	(	PUNCT
ejpam-6324	183	31	x	x	X
ejpam-6324	183	32	)	)	PUNCT
ejpam-6324	183	33	,	,	PUNCT
ejpam-6324	183	34	if̃2(è	if̃2(è	PROPN
ejpam-6324	183	35	)	)	PUNCT
ejpam-6324	183	36	(	(	PUNCT
ejpam-6324	183	37	x	x	X
ejpam-6324	183	38	)	)	PUNCT
ejpam-6324	183	39	}	}	PUNCT
ejpam-6324	183	40	,	,	PUNCT
ejpam-6324	183	41	ff̃3(è	ff̃3(è	PROPN
ejpam-6324	183	42	)	)	PUNCT
ejpam-6324	183	43	(	(	PUNCT
ejpam-6324	183	44	x	x	X
ejpam-6324	183	45	)	)	PUNCT
ejpam-6324	183	46	=	=	SYM
ejpam-6324	183	47	min{ff̃1(è	min{ff̃1(è	PROPN
ejpam-6324	183	48	)	)	PUNCT
ejpam-6324	183	49	(	(	PUNCT
ejpam-6324	183	50	x	x	NOUN
ejpam-6324	183	51	)	)	PUNCT
ejpam-6324	183	52	,	,	PUNCT
ejpam-6324	183	53	ff̃2(è	ff̃2(è	PROPN
ejpam-6324	183	54	)	)	PUNCT
ejpam-6324	183	55	(	(	PUNCT
ejpam-6324	183	56	x	x	X
ejpam-6324	183	57	)	)	PUNCT
ejpam-6324	183	58	}	}	PUNCT
ejpam-6324	183	59	.	.	PUNCT
ejpam-6324	184	1	definition	definition	NOUN
ejpam-6324	184	2	5	5	NUM
ejpam-6324	184	3	.	.	PUNCT
ejpam-6324	185	1	[	[	X
ejpam-6324	185	2	15	15	NUM
ejpam-6324	185	3	]	]	X
ejpam-6324	185	4	let	let	NOUN
ejpam-6324	185	5	(	(	PUNCT
ejpam-6324	185	6	f̃1	f̃1	PROPN
ejpam-6324	185	7	,	,	PUNCT
ejpam-6324	185	8	é	é	PROPN
ejpam-6324	185	9	)	)	PUNCT
ejpam-6324	185	10	and	and	CCONJ
ejpam-6324	185	11	(	(	PUNCT
ejpam-6324	185	12	f̃2	f̃2	PROPN
ejpam-6324	185	13	,	,	PUNCT
ejpam-6324	185	14	é	é	PROPN
ejpam-6324	185	15	)	)	PUNCT
ejpam-6324	185	16	be	be	VERB
ejpam-6324	185	17	two	two	NUM
ejpam-6324	185	18	nsss	nsss	NOUN
ejpam-6324	185	19	.	.	PUNCT
ejpam-6324	186	1	then	then	ADV
ejpam-6324	186	2	their	their	PRON
ejpam-6324	186	3	intersection	intersection	NOUN
ejpam-6324	186	4	is	be	AUX
ejpam-6324	186	5	symbolized	symbolize	VERB
ejpam-6324	186	6	by	by	ADP
ejpam-6324	186	7	(	(	PUNCT
ejpam-6324	186	8	f̃1	f̃1	PROPN
ejpam-6324	186	9	,	,	PUNCT
ejpam-6324	186	10	é	é	PROPN
ejpam-6324	186	11	)	)	PUNCT
ejpam-6324	186	12	⋒	⋒	X
ejpam-6324	186	13	(	(	PUNCT
ejpam-6324	186	14	f̃2	f̃2	PROPN
ejpam-6324	186	15	,	,	PUNCT
ejpam-6324	186	16	é	é	PROPN
ejpam-6324	186	17	)	)	PUNCT
ejpam-6324	186	18	=	=	SYM
ejpam-6324	186	19	(	(	PUNCT
ejpam-6324	186	20	f̃3	f̃3	PROPN
ejpam-6324	186	21	,	,	PUNCT
ejpam-6324	186	22	é	é	PROPN
ejpam-6324	186	23	)	)	PUNCT
ejpam-6324	186	24	as	as	ADP
ejpam-6324	186	25	:	:	PUNCT
ejpam-6324	186	26	(	(	PUNCT
ejpam-6324	186	27	f̃3	f̃3	PROPN
ejpam-6324	186	28	,	,	PUNCT
ejpam-6324	186	29	é	é	PROPN
ejpam-6324	186	30	)	)	PUNCT
ejpam-6324	186	31	=	=	PRON
ejpam-6324	186	32	{	{	PUNCT
ejpam-6324	186	33	(	(	PUNCT
ejpam-6324	186	34	è	è	PROPN
ejpam-6324	186	35	,	,	PUNCT
ejpam-6324	186	36	⟨x	⟨x	NUM
ejpam-6324	186	37	,	,	PUNCT
ejpam-6324	186	38	tf̃3(è	tf̃3(è	PUNCT
ejpam-6324	186	39	)	)	PUNCT
ejpam-6324	186	40	(	(	PUNCT
ejpam-6324	186	41	x	x	NOUN
ejpam-6324	186	42	)	)	PUNCT
ejpam-6324	186	43	,	,	PUNCT
ejpam-6324	186	44	if̃3(è	if̃3(è	X
ejpam-6324	186	45	)	)	PUNCT
ejpam-6324	186	46	(	(	PUNCT
ejpam-6324	186	47	x	x	X
ejpam-6324	186	48	)	)	PUNCT
ejpam-6324	186	49	,	,	PUNCT
ejpam-6324	186	50	ff̃3(è	ff̃3(è	PROPN
ejpam-6324	186	51	)	)	PUNCT
ejpam-6324	186	52	(	(	PUNCT
ejpam-6324	186	53	x)⟩	x)⟩	X
ejpam-6324	186	54	:	:	PUNCT
ejpam-6324	186	55	x	x	X
ejpam-6324	186	56	∈	∈	NOUN
ejpam-6324	186	57	x	x	X
ejpam-6324	186	58	)	)	PUNCT
ejpam-6324	186	59	:	:	PUNCT
ejpam-6324	186	60	è	è	PROPN
ejpam-6324	186	61	∈	∈	PROPN
ejpam-6324	186	62	é	é	PROPN
ejpam-6324	186	63	}	}	PUNCT
ejpam-6324	186	64	.	.	PUNCT
ejpam-6324	187	1	where	where	SCONJ
ejpam-6324	187	2	:	:	PUNCT
ejpam-6324	187	3	tf̃3(è	tf̃3(è	X
ejpam-6324	187	4	)	)	PUNCT
ejpam-6324	187	5	(	(	PUNCT
ejpam-6324	187	6	x	x	X
ejpam-6324	187	7	)	)	PUNCT
ejpam-6324	187	8	=	=	SYM
ejpam-6324	187	9	min{tf̃1(è	min{tf̃1(è	PROPN
ejpam-6324	187	10	)	)	PUNCT
ejpam-6324	187	11	(	(	PUNCT
ejpam-6324	187	12	x	x	NOUN
ejpam-6324	187	13	)	)	PUNCT
ejpam-6324	187	14	,	,	PUNCT
ejpam-6324	187	15	tf̃2(è	tf̃2(è	PROPN
ejpam-6324	187	16	)	)	PUNCT
ejpam-6324	187	17	(	(	PUNCT
ejpam-6324	187	18	x	x	X
ejpam-6324	187	19	)	)	PUNCT
ejpam-6324	187	20	}	}	PUNCT
ejpam-6324	187	21	,	,	PUNCT
ejpam-6324	187	22	if̃3(è	if̃3(è	X
ejpam-6324	187	23	)	)	PUNCT
ejpam-6324	187	24	(	(	PUNCT
ejpam-6324	187	25	x	x	X
ejpam-6324	187	26	)	)	PUNCT
ejpam-6324	187	27	=	=	SYM
ejpam-6324	187	28	min{if̃1(è	min{if̃1(è	PROPN
ejpam-6324	187	29	)	)	PUNCT
ejpam-6324	187	30	(	(	PUNCT
ejpam-6324	187	31	x	x	X
ejpam-6324	187	32	)	)	PUNCT
ejpam-6324	187	33	,	,	PUNCT
ejpam-6324	187	34	if̃2(è	if̃2(è	PROPN
ejpam-6324	187	35	)	)	PUNCT
ejpam-6324	187	36	(	(	PUNCT
ejpam-6324	187	37	x	x	X
ejpam-6324	187	38	)	)	PUNCT
ejpam-6324	187	39	}	}	PUNCT
ejpam-6324	187	40	,	,	PUNCT
ejpam-6324	187	41	ff̃3(è	ff̃3(è	PROPN
ejpam-6324	187	42	)	)	PUNCT
ejpam-6324	187	43	(	(	PUNCT
ejpam-6324	187	44	x	x	X
ejpam-6324	187	45	)	)	PUNCT
ejpam-6324	187	46	=	=	SYM
ejpam-6324	187	47	max{ff̃1(è	max{ff̃1(è	PROPN
ejpam-6324	187	48	)	)	PUNCT
ejpam-6324	187	49	(	(	PUNCT
ejpam-6324	187	50	x	x	NOUN
ejpam-6324	187	51	)	)	PUNCT
ejpam-6324	187	52	,	,	PUNCT
ejpam-6324	187	53	ff̃2(è	ff̃2(è	PROPN
ejpam-6324	187	54	)	)	PUNCT
ejpam-6324	187	55	(	(	PUNCT
ejpam-6324	187	56	x	x	X
ejpam-6324	187	57	)	)	PUNCT
ejpam-6324	187	58	}	}	PUNCT
ejpam-6324	187	59	.	.	PUNCT
ejpam-6324	188	1	definition	definition	NOUN
ejpam-6324	188	2	6	6	NUM
ejpam-6324	188	3	.	.	PUNCT
ejpam-6324	189	1	[	[	X
ejpam-6324	189	2	15	15	NUM
ejpam-6324	189	3	]	]	X
ejpam-6324	189	4	let	let	NOUN
ejpam-6324	189	5	(	(	PUNCT
ejpam-6324	189	6	f̃1	f̃1	PROPN
ejpam-6324	189	7	,	,	PUNCT
ejpam-6324	189	8	é	é	PROPN
ejpam-6324	189	9	)	)	PUNCT
ejpam-6324	189	10	and	and	CCONJ
ejpam-6324	189	11	(	(	PUNCT
ejpam-6324	189	12	f̃2	f̃2	PROPN
ejpam-6324	189	13	,	,	PUNCT
ejpam-6324	189	14	é	é	PROPN
ejpam-6324	189	15	)	)	PUNCT
ejpam-6324	189	16	be	be	VERB
ejpam-6324	189	17	two	two	NUM
ejpam-6324	189	18	nsss	nsss	NOUN
ejpam-6324	189	19	.	.	PUNCT
ejpam-6324	190	1	then	then	ADV
ejpam-6324	190	2	the	the	DET
ejpam-6324	190	3	difference	difference	NOUN
ejpam-6324	190	4	operation	operation	NOUN
ejpam-6324	190	5	on	on	ADP
ejpam-6324	190	6	them	they	PRON
ejpam-6324	190	7	is	be	AUX
ejpam-6324	190	8	denoted	denote	VERB
ejpam-6324	190	9	by	by	ADP
ejpam-6324	190	10	(	(	PUNCT
ejpam-6324	190	11	f̃1	f̃1	PROPN
ejpam-6324	190	12	,	,	PUNCT
ejpam-6324	190	13	é	é	PROPN
ejpam-6324	190	14	)	)	PUNCT
ejpam-6324	190	15	\	\	PUNCT
ejpam-6324	191	1	(	(	PUNCT
ejpam-6324	191	2	f̃2	f̃2	PROPN
ejpam-6324	191	3	,	,	PUNCT
ejpam-6324	191	4	é	é	PROPN
ejpam-6324	191	5	)	)	PUNCT
ejpam-6324	191	6	=	=	SYM
ejpam-6324	191	7	(	(	PUNCT
ejpam-6324	191	8	f̃3	f̃3	PROPN
ejpam-6324	191	9	,	,	PUNCT
ejpam-6324	191	10	é	é	PROPN
ejpam-6324	191	11	)	)	PUNCT
ejpam-6324	191	12	and	and	CCONJ
ejpam-6324	191	13	is	be	AUX
ejpam-6324	191	14	defined	define	VERB
ejpam-6324	191	15	by	by	ADP
ejpam-6324	191	16	:	:	PUNCT
ejpam-6324	191	17	(	(	PUNCT
ejpam-6324	191	18	f̃3	f̃3	PROPN
ejpam-6324	191	19	,	,	PUNCT
ejpam-6324	191	20	é	é	PROPN
ejpam-6324	191	21	)	)	PUNCT
ejpam-6324	191	22	=	=	PRON
ejpam-6324	191	23	{	{	PUNCT
ejpam-6324	191	24	(	(	PUNCT
ejpam-6324	191	25	è	è	PROPN
ejpam-6324	191	26	,	,	PUNCT
ejpam-6324	191	27	⟨x	⟨x	NUM
ejpam-6324	191	28	,	,	PUNCT
ejpam-6324	191	29	tf̃3(è	tf̃3(è	PUNCT
ejpam-6324	191	30	)	)	PUNCT
ejpam-6324	191	31	(	(	PUNCT
ejpam-6324	191	32	x	x	NOUN
ejpam-6324	191	33	)	)	PUNCT
ejpam-6324	191	34	,	,	PUNCT
ejpam-6324	191	35	if̃3(è	if̃3(è	X
ejpam-6324	191	36	)	)	PUNCT
ejpam-6324	191	37	(	(	PUNCT
ejpam-6324	191	38	x	x	X
ejpam-6324	191	39	)	)	PUNCT
ejpam-6324	191	40	,	,	PUNCT
ejpam-6324	191	41	ff̃3(è	ff̃3(è	PROPN
ejpam-6324	191	42	)	)	PUNCT
ejpam-6324	191	43	(	(	PUNCT
ejpam-6324	191	44	x)⟩	x)⟩	X
ejpam-6324	191	45	:	:	PUNCT
ejpam-6324	191	46	x	x	X
ejpam-6324	191	47	∈	∈	NOUN
ejpam-6324	191	48	x	x	X
ejpam-6324	191	49	)	)	PUNCT
ejpam-6324	191	50	:	:	PUNCT
ejpam-6324	191	51	è	è	PROPN
ejpam-6324	191	52	∈	∈	PROPN
ejpam-6324	191	53	é	é	PROPN
ejpam-6324	191	54	}	}	PUNCT
ejpam-6324	191	55	.	.	PUNCT
ejpam-6324	192	1	where	where	SCONJ
ejpam-6324	192	2	:	:	PUNCT
ejpam-6324	192	3	tf̃3(è	tf̃3(è	X
ejpam-6324	192	4	)	)	PUNCT
ejpam-6324	192	5	(	(	PUNCT
ejpam-6324	192	6	x	x	X
ejpam-6324	192	7	)	)	PUNCT
ejpam-6324	192	8	=	=	SYM
ejpam-6324	192	9	min{tf̃1(è	min{tf̃1(è	PROPN
ejpam-6324	192	10	)	)	PUNCT
ejpam-6324	192	11	(	(	PUNCT
ejpam-6324	192	12	x	x	NOUN
ejpam-6324	192	13	)	)	PUNCT
ejpam-6324	192	14	,	,	PUNCT
ejpam-6324	192	15	tf̃2(è	tf̃2(è	PROPN
ejpam-6324	192	16	)	)	PUNCT
ejpam-6324	192	17	(	(	PUNCT
ejpam-6324	192	18	x	x	X
ejpam-6324	192	19	)	)	PUNCT
ejpam-6324	192	20	}	}	PUNCT
ejpam-6324	192	21	,	,	PUNCT
ejpam-6324	192	22	if̃3(è	if̃3(è	X
ejpam-6324	192	23	)	)	PUNCT
ejpam-6324	192	24	(	(	PUNCT
ejpam-6324	192	25	x	x	X
ejpam-6324	192	26	)	)	PUNCT
ejpam-6324	192	27	=	=	SYM
ejpam-6324	192	28	min{if̃1(è	min{if̃1(è	PROPN
ejpam-6324	192	29	)	)	PUNCT
ejpam-6324	192	30	(	(	PUNCT
ejpam-6324	192	31	x	x	NOUN
ejpam-6324	192	32	)	)	PUNCT
ejpam-6324	192	33	,	,	PUNCT
ejpam-6324	192	34	if̃2(é	if̃2(é	NOUN
ejpam-6324	192	35	)	)	PUNCT
ejpam-6324	192	36	(	(	PUNCT
ejpam-6324	192	37	x	x	X
ejpam-6324	192	38	)	)	PUNCT
ejpam-6324	192	39	}	}	PUNCT
ejpam-6324	192	40	,	,	PUNCT
ejpam-6324	192	41	ff̃3(è	ff̃3(è	PROPN
ejpam-6324	192	42	)	)	PUNCT
ejpam-6324	192	43	(	(	PUNCT
ejpam-6324	192	44	x	x	X
ejpam-6324	192	45	)	)	PUNCT
ejpam-6324	192	46	=	=	SYM
ejpam-6324	192	47	max{ff̃1(è	max{ff̃1(è	PROPN
ejpam-6324	192	48	)	)	PUNCT
ejpam-6324	192	49	(	(	PUNCT
ejpam-6324	192	50	x	x	NOUN
ejpam-6324	192	51	)	)	PUNCT
ejpam-6324	192	52	,	,	PUNCT
ejpam-6324	192	53	ff̃2(è	ff̃2(è	PROPN
ejpam-6324	192	54	)	)	PUNCT
ejpam-6324	192	55	(	(	PUNCT
ejpam-6324	192	56	x	x	X
ejpam-6324	192	57	)	)	PUNCT
ejpam-6324	192	58	}	}	PUNCT
ejpam-6324	192	59	.	.	PUNCT
ejpam-6324	193	1	m.	m.	NOUN
ejpam-6324	193	2	m.	m.	PROPN
ejpam-6324	193	3	saeed	saeed	PROPN
ejpam-6324	193	4	et	et	PROPN
ejpam-6324	193	5	al	al	PROPN
ejpam-6324	193	6	.	.	PUNCT
ejpam-6324	193	7	/	/	SYM
ejpam-6324	193	8	eur	eur	PROPN
ejpam-6324	193	9	.	.	PUNCT
ejpam-6324	194	1	j.	j.	PROPN
ejpam-6324	194	2	pure	pure	PROPN
ejpam-6324	194	3	appl	appl	PROPN
ejpam-6324	194	4	.	.	PROPN
ejpam-6324	194	5	math	math	PROPN
ejpam-6324	194	6	,	,	PUNCT
ejpam-6324	194	7	18	18	NUM
ejpam-6324	194	8	(	(	PUNCT
ejpam-6324	194	9	3	3	NUM
ejpam-6324	194	10	)	)	PUNCT
ejpam-6324	194	11	(	(	PUNCT
ejpam-6324	194	12	2025	2025	NUM
ejpam-6324	194	13	)	)	PUNCT
ejpam-6324	194	14	,	,	PUNCT
ejpam-6324	194	15	6324	6324	NUM
ejpam-6324	194	16	8	8	NUM
ejpam-6324	194	17	of	of	ADP
ejpam-6324	194	18	25	25	NUM
ejpam-6324	194	19	definition	definition	NOUN
ejpam-6324	194	20	7	7	NUM
ejpam-6324	194	21	.	.	PUNCT
ejpam-6324	195	1	[	[	X
ejpam-6324	195	2	15	15	NUM
ejpam-6324	195	3	]	]	SYM
ejpam-6324	195	4	1	1	NUM
ejpam-6324	195	5	.	.	PUNCT
ejpam-6324	195	6	a	a	DET
ejpam-6324	195	7	nss	nss	NOUN
ejpam-6324	195	8	(	(	PUNCT
ejpam-6324	195	9	f̃	f̃	PROPN
ejpam-6324	195	10	,	,	PUNCT
ejpam-6324	195	11	é	é	PROPN
ejpam-6324	195	12	)	)	PUNCT
ejpam-6324	195	13	is	be	AUX
ejpam-6324	195	14	said	say	VERB
ejpam-6324	195	15	to	to	PART
ejpam-6324	195	16	be	be	AUX
ejpam-6324	195	17	a	a	DET
ejpam-6324	195	18	null	null	ADJ
ejpam-6324	195	19	nss	nss	NOUN
ejpam-6324	195	20	if	if	SCONJ
ejpam-6324	195	21	:	:	PUNCT
ejpam-6324	195	22	tf̃	tf̃	X
ejpam-6324	195	23	(	(	PUNCT
ejpam-6324	195	24	è)(x	è)(x	PROPN
ejpam-6324	195	25	)	)	PUNCT
ejpam-6324	195	26	=	=	SYM
ejpam-6324	195	27	0	0	NUM
ejpam-6324	195	28	,	,	PUNCT
ejpam-6324	195	29	if̃	if̃	NUM
ejpam-6324	195	30	(	(	PUNCT
ejpam-6324	195	31	è)(x	è)(x	PROPN
ejpam-6324	195	32	)	)	PUNCT
ejpam-6324	195	33	=	=	SYM
ejpam-6324	195	34	0	0	NUM
ejpam-6324	195	35	,	,	PUNCT
ejpam-6324	195	36	ff̃	ff̃	ADV
ejpam-6324	195	37	(	(	PUNCT
ejpam-6324	195	38	è)(x	è)(x	PROPN
ejpam-6324	195	39	)	)	PUNCT
ejpam-6324	195	40	=	=	SYM
ejpam-6324	195	41	1	1	NUM
ejpam-6324	195	42	,	,	PUNCT
ejpam-6324	195	43	∀è	∀è	NUM
ejpam-6324	195	44	∈	∈	PROPN
ejpam-6324	195	45	é,∀x	é,∀x	PUNCT
ejpam-6324	196	1	∈	∈	PROPN
ejpam-6324	196	2	x.	x.	NOUN
ejpam-6324	197	1	it	it	PRON
ejpam-6324	197	2	is	be	AUX
ejpam-6324	197	3	denoted	denote	VERB
ejpam-6324	197	4	by	by	ADP
ejpam-6324	197	5	0(x	0(x	NOUN
ejpam-6324	197	6	,	,	PUNCT
ejpam-6324	197	7	é	é	PROPN
ejpam-6324	197	8	)	)	PUNCT
ejpam-6324	197	9	.	.	PUNCT
ejpam-6324	198	1	2	2	X
ejpam-6324	198	2	.	.	X
ejpam-6324	198	3	a	a	DET
ejpam-6324	198	4	neutrosophic	neutrosophic	ADJ
ejpam-6324	198	5	soft	soft	ADJ
ejpam-6324	198	6	set	set	NOUN
ejpam-6324	198	7	(	(	PUNCT
ejpam-6324	198	8	f̃	f̃	PROPN
ejpam-6324	198	9	,	,	PUNCT
ejpam-6324	198	10	é	é	PROPN
ejpam-6324	198	11	)	)	PUNCT
ejpam-6324	198	12	is	be	AUX
ejpam-6324	198	13	said	say	VERB
ejpam-6324	198	14	to	to	PART
ejpam-6324	198	15	be	be	AUX
ejpam-6324	198	16	an	an	DET
ejpam-6324	198	17	absolute	absolute	ADJ
ejpam-6324	198	18	nss	nss	NOUN
ejpam-6324	198	19	if	if	SCONJ
ejpam-6324	198	20	:	:	PUNCT
ejpam-6324	198	21	tf̃	tf̃	X
ejpam-6324	198	22	(	(	PUNCT
ejpam-6324	198	23	è)(x	è)(x	PROPN
ejpam-6324	198	24	)	)	PUNCT
ejpam-6324	198	25	=	=	SYM
ejpam-6324	198	26	1	1	NUM
ejpam-6324	198	27	,	,	PUNCT
ejpam-6324	198	28	if̃	if̃	NUM
ejpam-6324	198	29	(	(	PUNCT
ejpam-6324	198	30	è)(x	è)(x	PROPN
ejpam-6324	198	31	)	)	PUNCT
ejpam-6324	198	32	=	=	SYM
ejpam-6324	198	33	1	1	NUM
ejpam-6324	198	34	,	,	PUNCT
ejpam-6324	198	35	ff̃	ff̃	ADV
ejpam-6324	198	36	(	(	PUNCT
ejpam-6324	198	37	è)(x	è)(x	PROPN
ejpam-6324	198	38	)	)	PUNCT
ejpam-6324	198	39	=	=	SYM
ejpam-6324	198	40	0	0	NUM
ejpam-6324	198	41	,	,	PUNCT
ejpam-6324	198	42	∀è	∀è	NUM
ejpam-6324	198	43	∈	∈	PROPN
ejpam-6324	198	44	é,∀x	é,∀x	PUNCT
ejpam-6324	199	1	∈	∈	PROPN
ejpam-6324	199	2	x.	x.	NOUN
ejpam-6324	200	1	it	it	PRON
ejpam-6324	200	2	is	be	AUX
ejpam-6324	200	3	symbolized	symbolize	VERB
ejpam-6324	200	4	as	as	ADP
ejpam-6324	200	5	1(x	1(x	NUM
ejpam-6324	200	6	,	,	PUNCT
ejpam-6324	200	7	é	é	PROPN
ejpam-6324	200	8	)	)	PUNCT
ejpam-6324	200	9	.	.	PUNCT
ejpam-6324	201	1	it	it	PRON
ejpam-6324	201	2	is	be	AUX
ejpam-6324	201	3	obvious	obvious	ADJ
ejpam-6324	201	4	that	that	SCONJ
ejpam-6324	201	5	:	:	PUNCT
ejpam-6324	201	6	0(x	0(x	NOUN
ejpam-6324	201	7	,	,	PUNCT
ejpam-6324	201	8	é	é	PROPN
ejpam-6324	201	9	)	)	PUNCT
ejpam-6324	201	10	=	=	SYM
ejpam-6324	201	11	1(x	1(x	NUM
ejpam-6324	201	12	,	,	PUNCT
ejpam-6324	201	13	é	é	PROPN
ejpam-6324	201	14	)	)	PUNCT
ejpam-6324	201	15	,	,	PUNCT
ejpam-6324	201	16	1(x	1(x	NUM
ejpam-6324	201	17	,	,	PUNCT
ejpam-6324	201	18	é	é	PROPN
ejpam-6324	201	19	)	)	PUNCT
ejpam-6324	201	20	=	=	SYM
ejpam-6324	201	21	0(x	0(x	NOUN
ejpam-6324	201	22	,	,	PUNCT
ejpam-6324	201	23	é	é	PROPN
ejpam-6324	201	24	)	)	PUNCT
ejpam-6324	201	25	.	.	PUNCT
ejpam-6324	202	1	3	3	X
ejpam-6324	202	2	.	.	X
ejpam-6324	202	3	operations	operation	NOUN
ejpam-6324	202	4	on	on	ADP
ejpam-6324	202	5	quadri	quadri	NOUN
ejpam-6324	202	6	-	-	PUNCT
ejpam-6324	202	7	partitioned	partition	VERB
ejpam-6324	202	8	neutrosophic	neutrosophic	ADJ
ejpam-6324	202	9	soft	soft	ADJ
ejpam-6324	202	10	sets	set	NOUN
ejpam-6324	202	11	in	in	ADP
ejpam-6324	202	12	this	this	DET
ejpam-6324	202	13	section	section	NOUN
ejpam-6324	202	14	,	,	PUNCT
ejpam-6324	202	15	the	the	DET
ejpam-6324	202	16	groundwork	groundwork	NOUN
ejpam-6324	202	17	is	be	AUX
ejpam-6324	202	18	laid	lay	VERB
ejpam-6324	202	19	for	for	ADP
ejpam-6324	202	20	quadri	quadri	NOUN
ejpam-6324	202	21	-	-	PUNCT
ejpam-6324	202	22	partitioned	partition	VERB
ejpam-6324	202	23	neutrosophic	neutrosophic	ADJ
ejpam-6324	202	24	soft	soft	ADJ
ejpam-6324	202	25	sets	set	NOUN
ejpam-6324	202	26	(	(	PUNCT
ejpam-6324	202	27	qpnsss	qpnsss	NOUN
ejpam-6324	202	28	)	)	PUNCT
ejpam-6324	202	29	by	by	ADP
ejpam-6324	202	30	introducing	introduce	VERB
ejpam-6324	202	31	their	their	PRON
ejpam-6324	202	32	core	core	ADJ
ejpam-6324	202	33	definitions	definition	NOUN
ejpam-6324	202	34	and	and	CCONJ
ejpam-6324	202	35	fundamental	fundamental	ADJ
ejpam-6324	202	36	properties	property	NOUN
ejpam-6324	202	37	.	.	PUNCT
ejpam-6324	203	1	it	it	PRON
ejpam-6324	203	2	covers	cover	VERB
ejpam-6324	203	3	essential	essential	ADJ
ejpam-6324	203	4	operations	operation	NOUN
ejpam-6324	203	5	such	such	ADJ
ejpam-6324	203	6	as	as	ADP
ejpam-6324	203	7	union	union	NOUN
ejpam-6324	203	8	,	,	PUNCT
ejpam-6324	203	9	intersection	intersection	NOUN
ejpam-6324	203	10	,	,	PUNCT
ejpam-6324	203	11	complement	complement	NOUN
ejpam-6324	203	12	,	,	PUNCT
ejpam-6324	203	13	subset	subset	NOUN
ejpam-6324	203	14	,	,	PUNCT
ejpam-6324	203	15	and	and	CCONJ
ejpam-6324	203	16	equality	equality	NOUN
ejpam-6324	203	17	.	.	PUNCT
ejpam-6324	204	1	these	these	DET
ejpam-6324	204	2	operations	operation	NOUN
ejpam-6324	204	3	form	form	VERB
ejpam-6324	204	4	the	the	DET
ejpam-6324	204	5	basis	basis	NOUN
ejpam-6324	204	6	for	for	ADP
ejpam-6324	204	7	our	our	PRON
ejpam-6324	204	8	next	next	ADJ
ejpam-6324	204	9	sections	section	NOUN
ejpam-6324	204	10	.	.	PUNCT
ejpam-6324	205	1	definition	definition	NOUN
ejpam-6324	205	2	8	8	NUM
ejpam-6324	205	3	.	.	PUNCT
ejpam-6324	206	1	let	let	VERB
ejpam-6324	206	2	é	é	PROPN
ejpam-6324	206	3	be	be	AUX
ejpam-6324	206	4	the	the	DET
ejpam-6324	206	5	set	set	NOUN
ejpam-6324	206	6	of	of	ADP
ejpam-6324	206	7	parameters	parameter	NOUN
ejpam-6324	206	8	and	and	CCONJ
ejpam-6324	206	9	x	x	ADJ
ejpam-6324	206	10	be	be	AUX
ejpam-6324	206	11	the	the	DET
ejpam-6324	206	12	key	key	ADJ
ejpam-6324	206	13	set	set	NOUN
ejpam-6324	206	14	.	.	PUNCT
ejpam-6324	207	1	let	let	VERB
ejpam-6324	207	2	p	p	NOUN
ejpam-6324	207	3	(	(	PUNCT
ejpam-6324	207	4	x	x	X
ejpam-6324	207	5	)	)	PUNCT
ejpam-6324	207	6	represent	represent	VERB
ejpam-6324	207	7	the	the	DET
ejpam-6324	207	8	power	power	NOUN
ejpam-6324	207	9	set	set	NOUN
ejpam-6324	207	10	of	of	ADP
ejpam-6324	207	11	x.	x.	NOUN
ejpam-6324	207	12	then	then	ADV
ejpam-6324	207	13	,	,	PUNCT
ejpam-6324	207	14	a	a	DET
ejpam-6324	207	15	qpnss	qpnss	NOUN
ejpam-6324	207	16	(	(	PUNCT
ejpam-6324	207	17	f̃	f̃	PROPN
ejpam-6324	207	18	,	,	PUNCT
ejpam-6324	207	19	é	é	PROPN
ejpam-6324	207	20	)	)	PUNCT
ejpam-6324	207	21	over	over	ADV
ejpam-6324	207	22	x	x	PRON
ejpam-6324	207	23	is	be	AUX
ejpam-6324	207	24	a	a	DET
ejpam-6324	207	25	mapping	mapping	NOUN
ejpam-6324	207	26	f̃	f̃	PROPN
ejpam-6324	207	27	:	:	PUNCT
ejpam-6324	207	28	é	é	PROPN
ejpam-6324	207	29	→	→	SYM
ejpam-6324	207	30	p	p	X
ejpam-6324	207	31	(	(	PUNCT
ejpam-6324	207	32	x	x	NOUN
ejpam-6324	207	33	)	)	PUNCT
ejpam-6324	207	34	,	,	PUNCT
ejpam-6324	207	35	where	where	SCONJ
ejpam-6324	207	36	f̃	f̃	PROPN
ejpam-6324	207	37	is	be	AUX
ejpam-6324	207	38	the	the	DET
ejpam-6324	207	39	function	function	NOUN
ejpam-6324	207	40	of	of	ADP
ejpam-6324	207	41	the	the	DET
ejpam-6324	207	42	qpnss	qpnss	NOUN
ejpam-6324	207	43	(	(	PUNCT
ejpam-6324	207	44	f̃	f̃	PROPN
ejpam-6324	207	45	,	,	PUNCT
ejpam-6324	207	46	é	é	PROPN
ejpam-6324	207	47	)	)	PUNCT
ejpam-6324	207	48	.	.	PUNCT
ejpam-6324	208	1	symbolically	symbolically	ADV
ejpam-6324	208	2	,	,	PUNCT
ejpam-6324	208	3	(	(	PUNCT
ejpam-6324	208	4	f̃	f̃	PROPN
ejpam-6324	208	5	,	,	PUNCT
ejpam-6324	208	6	é	é	PROPN
ejpam-6324	208	7	)	)	PUNCT
ejpam-6324	208	8	=	=	PRON
ejpam-6324	208	9	{	{	PUNCT
ejpam-6324	208	10	(	(	PUNCT
ejpam-6324	208	11	è	è	PROPN
ejpam-6324	208	12	,	,	PUNCT
ejpam-6324	208	13	⟨x	⟨x	VERB
ejpam-6324	208	14	,	,	PUNCT
ejpam-6324	208	15	abtf̃	abtf̃	PUNCT
ejpam-6324	208	16	(	(	PUNCT
ejpam-6324	208	17	è)(x),retf̃	è)(x),retf̃	PROPN
ejpam-6324	208	18	(	(	PUNCT
ejpam-6324	208	19	è)(x),reff̃	è)(x),reff̃	PROPN
ejpam-6324	208	20	(	(	PUNCT
ejpam-6324	208	21	è)(x),abff̃	è)(x),abff̃	PROPN
ejpam-6324	208	22	(	(	PUNCT
ejpam-6324	208	23	è)(x)⟩	è)(x)⟩	X
ejpam-6324	208	24	:	:	PUNCT
ejpam-6324	208	25	x	x	X
ejpam-6324	208	26	∈	∈	NOUN
ejpam-6324	208	27	x	x	X
ejpam-6324	208	28	)	)	PUNCT
ejpam-6324	208	29	:	:	PUNCT
ejpam-6324	208	30	è	è	PROPN
ejpam-6324	208	31	∈	∈	PROPN
ejpam-6324	208	32	é	é	PROPN
ejpam-6324	208	33	}	}	PUNCT
ejpam-6324	208	34	.	.	PUNCT
ejpam-6324	209	1	where	where	SCONJ
ejpam-6324	209	2	,	,	PUNCT
ejpam-6324	209	3	abtf̃	abtf̃	PUNCT
ejpam-6324	209	4	(	(	PUNCT
ejpam-6324	209	5	è)(s	è)(s	NOUN
ejpam-6324	209	6	)	)	PUNCT
ejpam-6324	209	7	,	,	PUNCT
ejpam-6324	209	8	retf̃	retf̃	NOUN
ejpam-6324	209	9	(	(	PUNCT
ejpam-6324	209	10	è)(s	è)(s	NOUN
ejpam-6324	209	11	)	)	PUNCT
ejpam-6324	209	12	,	,	PUNCT
ejpam-6324	209	13	reff̃	reff̃	PROPN
ejpam-6324	209	14	(	(	PUNCT
ejpam-6324	209	15	è)(s	è)(s	NOUN
ejpam-6324	209	16	)	)	PUNCT
ejpam-6324	209	17	,	,	PUNCT
ejpam-6324	209	18	and	and	CCONJ
ejpam-6324	209	19	abff̃	abff̃	ADV
ejpam-6324	209	20	(	(	PUNCT
ejpam-6324	209	21	è)(s	è)(s	NOUN
ejpam-6324	209	22	)	)	PUNCT
ejpam-6324	209	23	belong	belong	VERB
ejpam-6324	209	24	to	to	ADP
ejpam-6324	209	25	the	the	DET
ejpam-6324	209	26	interval	interval	NOUN
ejpam-6324	209	27	[	[	X
ejpam-6324	209	28	0	0	NUM
ejpam-6324	209	29	,	,	PUNCT
ejpam-6324	209	30	1	1	NUM
ejpam-6324	209	31	]	]	PUNCT
ejpam-6324	209	32	.	.	PUNCT
ejpam-6324	210	1	respectively	respectively	ADV
ejpam-6324	210	2	,	,	PUNCT
ejpam-6324	210	3	these	these	DET
ejpam-6324	210	4	functions	function	NOUN
ejpam-6324	210	5	are	be	AUX
ejpam-6324	210	6	called	call	VERB
ejpam-6324	210	7	the	the	DET
ejpam-6324	210	8	absolute	absolute	ADJ
ejpam-6324	210	9	true	true	ADJ
ejpam-6324	210	10	-	-	PUNCT
ejpam-6324	210	11	membership	membership	NOUN
ejpam-6324	210	12	,	,	PUNCT
ejpam-6324	210	13	relative	relative	ADJ
ejpam-6324	210	14	true	true	ADJ
ejpam-6324	210	15	-	-	PUNCT
ejpam-6324	210	16	membership	membership	NOUN
ejpam-6324	210	17	,	,	PUNCT
ejpam-6324	210	18	relative	relative	ADJ
ejpam-6324	210	19	false	false	ADJ
ejpam-6324	210	20	-	-	PUNCT
ejpam-6324	210	21	membership	membership	NOUN
ejpam-6324	210	22	,	,	PUNCT
ejpam-6324	210	23	and	and	CCONJ
ejpam-6324	210	24	absolute	absolute	ADJ
ejpam-6324	210	25	false	false	ADJ
ejpam-6324	210	26	-	-	PUNCT
ejpam-6324	210	27	membership	membership	NOUN
ejpam-6324	210	28	functions	function	NOUN
ejpam-6324	210	29	of	of	ADP
ejpam-6324	210	30	f̃	f̃	PROPN
ejpam-6324	210	31	(	(	PUNCT
ejpam-6324	210	32	è	è	PROPN
ejpam-6324	210	33	)	)	PUNCT
ejpam-6324	210	34	.	.	PUNCT
ejpam-6324	211	1	since	since	SCONJ
ejpam-6324	211	2	the	the	DET
ejpam-6324	211	3	supremum	supremum	NOUN
ejpam-6324	211	4	of	of	ADP
ejpam-6324	211	5	each	each	DET
ejpam-6324	211	6	function	function	NOUN
ejpam-6324	211	7	is	be	AUX
ejpam-6324	211	8	1	1	NUM
ejpam-6324	211	9	and	and	CCONJ
ejpam-6324	211	10	the	the	DET
ejpam-6324	211	11	infimum	infimum	NOUN
ejpam-6324	211	12	is	be	AUX
ejpam-6324	211	13	0	0	NUM
ejpam-6324	211	14	,	,	PUNCT
ejpam-6324	211	15	the	the	DET
ejpam-6324	211	16	inequality	inequality	NOUN
ejpam-6324	211	17	0	0	NUM
ejpam-6324	211	18	≤	≤	NUM
ejpam-6324	211	19	abtf̃	abtf̃	PUNCT
ejpam-6324	211	20	(	(	PUNCT
ejpam-6324	211	21	e)(s	e)(s	NOUN
ejpam-6324	211	22	)	)	PUNCT
ejpam-6324	211	23	+	+	CCONJ
ejpam-6324	211	24	retf̃	retf̃	NOUN
ejpam-6324	211	25	(	(	PUNCT
ejpam-6324	211	26	e)(s	e)(s	NOUN
ejpam-6324	211	27	)	)	PUNCT
ejpam-6324	211	28	+	+	CCONJ
ejpam-6324	211	29	reff̃	reff̃	PROPN
ejpam-6324	211	30	(	(	PUNCT
ejpam-6324	211	31	e)(s	e)(s	NOUN
ejpam-6324	211	32	)	)	PUNCT
ejpam-6324	211	33	+	+	ADJ
ejpam-6324	211	34	abff̃	abff̃	PROPN
ejpam-6324	211	35	(	(	PUNCT
ejpam-6324	211	36	e)(s	e)(s	NOUN
ejpam-6324	211	37	)	)	PUNCT
ejpam-6324	211	38	≤	≤	NUM
ejpam-6324	211	39	4	4	NUM
ejpam-6324	211	40	.	.	PUNCT
ejpam-6324	211	41	is	be	AUX
ejpam-6324	211	42	automatically	automatically	ADV
ejpam-6324	211	43	true	true	ADJ
ejpam-6324	211	44	.	.	PUNCT
ejpam-6324	212	1	definition	definition	NOUN
ejpam-6324	212	2	9	9	NUM
ejpam-6324	212	3	.	.	PUNCT
ejpam-6324	213	1	let	let	VERB
ejpam-6324	213	2	(	(	PUNCT
ejpam-6324	213	3	f̃	f̃	PROPN
ejpam-6324	213	4	,	,	PUNCT
ejpam-6324	213	5	é	é	PROPN
ejpam-6324	213	6	)	)	PUNCT
ejpam-6324	213	7	be	be	VERB
ejpam-6324	213	8	a	a	DET
ejpam-6324	213	9	qpnss	qpnss	NOUN
ejpam-6324	213	10	over	over	ADP
ejpam-6324	213	11	the	the	DET
ejpam-6324	213	12	key	key	ADJ
ejpam-6324	213	13	set	set	NOUN
ejpam-6324	213	14	x.	x.	NOUN
ejpam-6324	213	15	then	then	ADV
ejpam-6324	213	16	,	,	PUNCT
ejpam-6324	213	17	the	the	DET
ejpam-6324	213	18	complement	complement	NOUN
ejpam-6324	213	19	of	of	ADP
ejpam-6324	213	20	(	(	PUNCT
ejpam-6324	213	21	f̃	f̃	PROPN
ejpam-6324	213	22	,	,	PUNCT
ejpam-6324	213	23	é	é	PROPN
ejpam-6324	213	24	)	)	PUNCT
ejpam-6324	213	25	is	be	AUX
ejpam-6324	213	26	denoted	denote	VERB
ejpam-6324	213	27	by	by	ADP
ejpam-6324	213	28	(	(	PUNCT
ejpam-6324	213	29	f̃	f̃	PROPN
ejpam-6324	213	30	,	,	PUNCT
ejpam-6324	213	31	é)c	é)c	X
ejpam-6324	213	32	and	and	CCONJ
ejpam-6324	213	33	is	be	AUX
ejpam-6324	213	34	defined	define	VERB
ejpam-6324	213	35	as	as	SCONJ
ejpam-6324	213	36	follows	follow	VERB
ejpam-6324	213	37	:	:	PUNCT
ejpam-6324	213	38	(	(	PUNCT
ejpam-6324	213	39	f̃	f̃	PROPN
ejpam-6324	213	40	,	,	PUNCT
ejpam-6324	213	41	é)c	é)c	X
ejpam-6324	213	42	=	=	SYM
ejpam-6324	213	43	{	{	PUNCT
ejpam-6324	213	44	(	(	PUNCT
ejpam-6324	213	45	è	è	PROPN
ejpam-6324	213	46	,	,	PUNCT
ejpam-6324	213	47	⟨x	⟨x	VERB
ejpam-6324	213	48	,	,	PUNCT
ejpam-6324	213	49	abff̃	abff̃	ADV
ejpam-6324	213	50	(	(	PUNCT
ejpam-6324	213	51	è)(x),reff̃	è)(x),reff̃	X
ejpam-6324	213	52	(	(	PUNCT
ejpam-6324	213	53	è)(x),retf̃	è)(x),retf̃	PROPN
ejpam-6324	213	54	(	(	PUNCT
ejpam-6324	213	55	è)(x),abtf̃	è)(x),abtf̃	X
ejpam-6324	213	56	(	(	PUNCT
ejpam-6324	213	57	è)(x)⟩	è)(x)⟩	X
ejpam-6324	213	58	:	:	PUNCT
ejpam-6324	213	59	x	x	X
ejpam-6324	213	60	∈	∈	NOUN
ejpam-6324	213	61	x	x	X
ejpam-6324	213	62	)	)	PUNCT
ejpam-6324	213	63	:	:	PUNCT
ejpam-6324	213	64	è	è	PROPN
ejpam-6324	213	65	∈	∈	PROPN
ejpam-6324	213	66	é	é	PROPN
ejpam-6324	213	67	}	}	PUNCT
ejpam-6324	213	68	.	.	PUNCT
ejpam-6324	214	1	so	so	ADV
ejpam-6324	214	2	,	,	PUNCT
ejpam-6324	214	3	(	(	PUNCT
ejpam-6324	214	4	(	(	PUNCT
ejpam-6324	214	5	f̃	f̃	PROPN
ejpam-6324	214	6	,	,	PUNCT
ejpam-6324	214	7	é)c	é)c	NOUN
ejpam-6324	214	8	)	)	PUNCT
ejpam-6324	214	9	c	c	NOUN
ejpam-6324	214	10	=	=	SYM
ejpam-6324	214	11	(	(	PUNCT
ejpam-6324	214	12	f̃	f̃	PROPN
ejpam-6324	214	13	,	,	PUNCT
ejpam-6324	214	14	é	é	PROPN
ejpam-6324	214	15	)	)	PUNCT
ejpam-6324	214	16	.	.	PUNCT
ejpam-6324	215	1	definition	definition	NOUN
ejpam-6324	215	2	10	10	NUM
ejpam-6324	215	3	.	.	PUNCT
ejpam-6324	216	1	let	let	VERB
ejpam-6324	216	2	(	(	PUNCT
ejpam-6324	216	3	f̃	f̃	PROPN
ejpam-6324	216	4	,	,	PUNCT
ejpam-6324	216	5	é	é	PROPN
ejpam-6324	216	6	)	)	PUNCT
ejpam-6324	216	7	and	and	CCONJ
ejpam-6324	216	8	(	(	PUNCT
ejpam-6324	216	9	g̃	g̃	PROPN
ejpam-6324	216	10	,	,	PUNCT
ejpam-6324	216	11	é	é	PROPN
ejpam-6324	216	12	)	)	PUNCT
ejpam-6324	216	13	be	be	VERB
ejpam-6324	216	14	two	two	NUM
ejpam-6324	216	15	qpnsss	qpnsss	NOUN
ejpam-6324	216	16	over	over	ADP
ejpam-6324	216	17	the	the	DET
ejpam-6324	216	18	key	key	ADJ
ejpam-6324	216	19	set	set	NOUN
ejpam-6324	216	20	x.	x.	NOUN
ejpam-6324	216	21	then	then	ADV
ejpam-6324	216	22	,	,	PUNCT
ejpam-6324	216	23	(	(	PUNCT
ejpam-6324	216	24	f̃	f̃	PROPN
ejpam-6324	216	25	,	,	PUNCT
ejpam-6324	216	26	é	é	PROPN
ejpam-6324	216	27	)	)	PUNCT
ejpam-6324	216	28	⊆	⊆	NUM
ejpam-6324	216	29	(	(	PUNCT
ejpam-6324	216	30	g̃	g̃	PROPN
ejpam-6324	216	31	,	,	PUNCT
ejpam-6324	216	32	é	é	PROPN
ejpam-6324	216	33	)	)	PUNCT
ejpam-6324	216	34	if	if	SCONJ
ejpam-6324	216	35	abtf̃	abtf̃	NOUN
ejpam-6324	216	36	(	(	PUNCT
ejpam-6324	216	37	è)(x	è)(x	PROPN
ejpam-6324	216	38	)	)	PUNCT
ejpam-6324	216	39	⪯	⪯	NOUN
ejpam-6324	216	40	abtg̃(è)(x	abtg̃(è)(x	PROPN
ejpam-6324	216	41	)	)	PUNCT
ejpam-6324	216	42	,	,	PUNCT
ejpam-6324	217	1	m.	m.	NOUN
ejpam-6324	217	2	m.	m.	PROPN
ejpam-6324	217	3	saeed	saeed	PROPN
ejpam-6324	217	4	et	et	PROPN
ejpam-6324	217	5	al	al	PROPN
ejpam-6324	217	6	.	.	PUNCT
ejpam-6324	217	7	/	/	SYM
ejpam-6324	217	8	eur	eur	PROPN
ejpam-6324	217	9	.	.	PUNCT
ejpam-6324	218	1	j.	j.	PROPN
ejpam-6324	218	2	pure	pure	PROPN
ejpam-6324	218	3	appl	appl	PROPN
ejpam-6324	218	4	.	.	PROPN
ejpam-6324	218	5	math	math	PROPN
ejpam-6324	218	6	,	,	PUNCT
ejpam-6324	218	7	18	18	NUM
ejpam-6324	218	8	(	(	PUNCT
ejpam-6324	218	9	3	3	NUM
ejpam-6324	218	10	)	)	PUNCT
ejpam-6324	218	11	(	(	PUNCT
ejpam-6324	218	12	2025	2025	NUM
ejpam-6324	218	13	)	)	PUNCT
ejpam-6324	218	14	,	,	PUNCT
ejpam-6324	218	15	6324	6324	NUM
ejpam-6324	218	16	9	9	NUM
ejpam-6324	218	17	of	of	ADP
ejpam-6324	218	18	25	25	NUM
ejpam-6324	218	19	retf̃	retf̃	NOUN
ejpam-6324	218	20	(	(	PUNCT
ejpam-6324	218	21	è)(x	è)(x	PROPN
ejpam-6324	218	22	)	)	PUNCT
ejpam-6324	218	23	⪯	⪯	NOUN
ejpam-6324	218	24	retg̃(è)(x	retg̃(è)(x	NUM
ejpam-6324	218	25	)	)	PUNCT
ejpam-6324	218	26	,	,	PUNCT
ejpam-6324	218	27	reff̃	reff̃	PROPN
ejpam-6324	218	28	(	(	PUNCT
ejpam-6324	218	29	è)(x	è)(x	NOUN
ejpam-6324	218	30	)	)	PUNCT
ejpam-6324	218	31	⪰	⪰	NOUN
ejpam-6324	218	32	refg̃(è)(x	refg̃(è)(x	NOUN
ejpam-6324	218	33	)	)	PUNCT
ejpam-6324	218	34	,	,	PUNCT
ejpam-6324	218	35	abff̃	abff̃	ADV
ejpam-6324	218	36	(	(	PUNCT
ejpam-6324	218	37	è)(x	è)(x	NOUN
ejpam-6324	218	38	)	)	PUNCT
ejpam-6324	218	39	⪰	⪰	NOUN
ejpam-6324	218	40	abfg̃(è)(x	abfg̃(è)(x	NOUN
ejpam-6324	218	41	)	)	PUNCT
ejpam-6324	218	42	,	,	PUNCT
ejpam-6324	218	43	for	for	ADP
ejpam-6324	218	44	all	all	DET
ejpam-6324	218	45	è	è	PROPN
ejpam-6324	218	46	∈	∈	PROPN
ejpam-6324	218	47	é	é	PROPN
ejpam-6324	218	48	and	and	CCONJ
ejpam-6324	218	49	x	x	PUNCT
ejpam-6324	218	50	∈	∈	PROPN
ejpam-6324	218	51	x.	x.	NOUN
ejpam-6324	219	1	if	if	SCONJ
ejpam-6324	219	2	(	(	PUNCT
ejpam-6324	219	3	f̃	f̃	PROPN
ejpam-6324	219	4	,	,	PUNCT
ejpam-6324	219	5	é	é	PROPN
ejpam-6324	219	6	)	)	PUNCT
ejpam-6324	219	7	⊆	⊆	NUM
ejpam-6324	219	8	(	(	PUNCT
ejpam-6324	219	9	g̃	g̃	PROPN
ejpam-6324	219	10	,	,	PUNCT
ejpam-6324	219	11	é	é	PROPN
ejpam-6324	219	12	)	)	PUNCT
ejpam-6324	219	13	and	and	CCONJ
ejpam-6324	219	14	(	(	PUNCT
ejpam-6324	219	15	f̃	f̃	PROPN
ejpam-6324	219	16	,	,	PUNCT
ejpam-6324	219	17	é	é	PROPN
ejpam-6324	219	18	)	)	PUNCT
ejpam-6324	219	19	⊇	⊇	NOUN
ejpam-6324	219	20	(	(	PUNCT
ejpam-6324	219	21	g̃	g̃	PROPN
ejpam-6324	219	22	,	,	PUNCT
ejpam-6324	219	23	é	é	PROPN
ejpam-6324	219	24	)	)	PUNCT
ejpam-6324	219	25	,	,	PUNCT
ejpam-6324	219	26	then	then	ADV
ejpam-6324	219	27	(	(	PUNCT
ejpam-6324	219	28	f̃	f̃	PROPN
ejpam-6324	219	29	,	,	PUNCT
ejpam-6324	219	30	é	é	PROPN
ejpam-6324	219	31	)	)	PUNCT
ejpam-6324	219	32	=	=	SYM
ejpam-6324	219	33	(	(	PUNCT
ejpam-6324	219	34	g̃	g̃	PROPN
ejpam-6324	219	35	,	,	PUNCT
ejpam-6324	219	36	é	é	PROPN
ejpam-6324	219	37	)	)	PUNCT
ejpam-6324	219	38	.	.	PUNCT
ejpam-6324	220	1	definition	definition	NOUN
ejpam-6324	220	2	11	11	NUM
ejpam-6324	220	3	.	.	PUNCT
ejpam-6324	221	1	let	let	VERB
ejpam-6324	221	2	(	(	PUNCT
ejpam-6324	221	3	f̃	f̃	PROPN
ejpam-6324	221	4	,	,	PUNCT
ejpam-6324	221	5	é	é	PROPN
ejpam-6324	221	6	)	)	PUNCT
ejpam-6324	221	7	and	and	CCONJ
ejpam-6324	221	8	(	(	PUNCT
ejpam-6324	221	9	g̃	g̃	PROPN
ejpam-6324	221	10	,	,	PUNCT
ejpam-6324	221	11	é	é	PROPN
ejpam-6324	221	12	)	)	PUNCT
ejpam-6324	221	13	be	be	VERB
ejpam-6324	221	14	two	two	NUM
ejpam-6324	221	15	qpnsss	qpnsss	NOUN
ejpam-6324	221	16	over	over	ADP
ejpam-6324	221	17	the	the	DET
ejpam-6324	221	18	key	key	ADJ
ejpam-6324	221	19	set	set	NOUN
ejpam-6324	221	20	x	x	PUNCT
ejpam-6324	221	21	such	such	ADJ
ejpam-6324	221	22	that	that	PRON
ejpam-6324	221	23	(	(	PUNCT
ejpam-6324	221	24	f̃	f̃	PROPN
ejpam-6324	221	25	,	,	PUNCT
ejpam-6324	221	26	é	é	PROPN
ejpam-6324	221	27	)	)	PUNCT
ejpam-6324	221	28	̸=	̸=	PROPN
ejpam-6324	221	29	(	(	PUNCT
ejpam-6324	221	30	g̃	g̃	PROPN
ejpam-6324	221	31	,	,	PUNCT
ejpam-6324	221	32	é	é	PROPN
ejpam-6324	221	33	)	)	PUNCT
ejpam-6324	221	34	.	.	PUNCT
ejpam-6324	222	1	then	then	ADV
ejpam-6324	222	2	their	their	PRON
ejpam-6324	222	3	union	union	NOUN
ejpam-6324	222	4	is	be	AUX
ejpam-6324	222	5	denoted	denote	VERB
ejpam-6324	222	6	by	by	ADP
ejpam-6324	222	7	(	(	PUNCT
ejpam-6324	222	8	f̃	f̃	PROPN
ejpam-6324	222	9	,	,	PUNCT
ejpam-6324	222	10	é	é	PROPN
ejpam-6324	222	11	)	)	PUNCT
ejpam-6324	222	12	⋓	⋓	NOUN
ejpam-6324	222	13	(	(	PUNCT
ejpam-6324	222	14	g̃	g̃	PROPN
ejpam-6324	222	15	,	,	PUNCT
ejpam-6324	222	16	é	é	PROPN
ejpam-6324	222	17	)	)	PUNCT
ejpam-6324	222	18	=	=	SYM
ejpam-6324	222	19	(	(	PUNCT
ejpam-6324	222	20	h̃	h̃	PROPN
ejpam-6324	222	21	,	,	PUNCT
ejpam-6324	222	22	é	é	PROPN
ejpam-6324	222	23	)	)	PUNCT
ejpam-6324	222	24	and	and	CCONJ
ejpam-6324	222	25	is	be	AUX
ejpam-6324	222	26	defined	define	VERB
ejpam-6324	222	27	as	as	ADP
ejpam-6324	222	28	:	:	PUNCT
ejpam-6324	222	29	(	(	PUNCT
ejpam-6324	222	30	h̃	h̃	PROPN
ejpam-6324	222	31	,	,	PUNCT
ejpam-6324	222	32	é	é	PROPN
ejpam-6324	222	33	)	)	PUNCT
ejpam-6324	222	34	=	=	PRON
ejpam-6324	222	35	{	{	PUNCT
ejpam-6324	222	36	(	(	PUNCT
ejpam-6324	222	37	è	è	PROPN
ejpam-6324	222	38	,	,	PUNCT
ejpam-6324	222	39	⟨x	⟨x	VERB
ejpam-6324	222	40	,	,	PUNCT
ejpam-6324	222	41	abth̃(è)(x),reth̃(è)(x),refh̃(è)(x),abfh̃(è)(x)⟩	abth̃(è)(x),reth̃(è)(x),refh̃(è)(x),abfh̃(è)(x)⟩	PUNCT
ejpam-6324	222	42	:	:	PUNCT
ejpam-6324	222	43	x	x	PUNCT
ejpam-6324	222	44	∈	∈	NOUN
ejpam-6324	222	45	x	x	X
ejpam-6324	222	46	)	)	PUNCT
ejpam-6324	222	47	:	:	PUNCT
ejpam-6324	222	48	è	è	PROPN
ejpam-6324	222	49	∈	∈	PROPN
ejpam-6324	222	50	é	é	PROPN
ejpam-6324	222	51	}	}	PUNCT
ejpam-6324	222	52	.	.	PUNCT
ejpam-6324	223	1	where	where	SCONJ
ejpam-6324	223	2	abth̃(è)(x	abth̃(è)(x	NUM
ejpam-6324	223	3	)	)	PUNCT
ejpam-6324	224	1	=	=	SYM
ejpam-6324	224	2	max	max	PROPN
ejpam-6324	224	3	{	{	PUNCT
ejpam-6324	224	4	abtf̃	abtf̃	PROPN
ejpam-6324	224	5	(	(	PUNCT
ejpam-6324	224	6	è)(x),abtg̃(è)(x	è)(x),abtg̃(è)(x	NOUN
ejpam-6324	224	7	)	)	PUNCT
ejpam-6324	224	8	}	}	PUNCT
ejpam-6324	224	9	,	,	PUNCT
ejpam-6324	224	10	reth̃(è)(x	reth̃(è)(x	PROPN
ejpam-6324	224	11	)	)	PUNCT
ejpam-6324	224	12	=	=	SYM
ejpam-6324	224	13	max	max	PROPN
ejpam-6324	224	14	{	{	PUNCT
ejpam-6324	224	15	retf̃	retf̃	PROPN
ejpam-6324	224	16	(	(	PUNCT
ejpam-6324	224	17	è)(x),retg̃(è)(x	è)(x),retg̃(è)(x	PROPN
ejpam-6324	224	18	)	)	PUNCT
ejpam-6324	224	19	}	}	PUNCT
ejpam-6324	224	20	,	,	PUNCT
ejpam-6324	224	21	refh̃(è)(x	refh̃(è)(x	PROPN
ejpam-6324	224	22	)	)	PUNCT
ejpam-6324	225	1	=	=	SYM
ejpam-6324	225	2	min	min	NOUN
ejpam-6324	225	3	{	{	PUNCT
ejpam-6324	225	4	reff̃	reff̃	PROPN
ejpam-6324	225	5	(	(	PUNCT
ejpam-6324	225	6	è)(x),refg̃(è)(x	è)(x),refg̃(è)(x	PROPN
ejpam-6324	225	7	)	)	PUNCT
ejpam-6324	225	8	}	}	PUNCT
ejpam-6324	225	9	,	,	PUNCT
ejpam-6324	225	10	abfh̃(è)(x	abfh̃(è)(x	PROPN
ejpam-6324	225	11	)	)	PUNCT
ejpam-6324	226	1	=	=	SYM
ejpam-6324	226	2	min	min	NOUN
ejpam-6324	226	3	{	{	PUNCT
ejpam-6324	226	4	abff̃	abff̃	ADV
ejpam-6324	226	5	(	(	PUNCT
ejpam-6324	226	6	è)(x),abfg̃(è)(x	è)(x),abfg̃(è)(x	PROPN
ejpam-6324	226	7	)	)	PUNCT
ejpam-6324	226	8	}	}	PUNCT
ejpam-6324	226	9	.	.	PUNCT
ejpam-6324	227	1	definition	definition	NOUN
ejpam-6324	227	2	12	12	NUM
ejpam-6324	227	3	.	.	PUNCT
ejpam-6324	228	1	let	let	VERB
ejpam-6324	228	2	(	(	PUNCT
ejpam-6324	228	3	f̃	f̃	PROPN
ejpam-6324	228	4	,	,	PUNCT
ejpam-6324	228	5	é	é	PROPN
ejpam-6324	228	6	)	)	PUNCT
ejpam-6324	228	7	and	and	CCONJ
ejpam-6324	228	8	(	(	PUNCT
ejpam-6324	228	9	g̃	g̃	PROPN
ejpam-6324	228	10	,	,	PUNCT
ejpam-6324	228	11	é	é	PROPN
ejpam-6324	228	12	)	)	PUNCT
ejpam-6324	228	13	be	be	VERB
ejpam-6324	228	14	two	two	NUM
ejpam-6324	228	15	qpnsss	qpnsss	NOUN
ejpam-6324	228	16	over	over	ADP
ejpam-6324	228	17	the	the	DET
ejpam-6324	228	18	key	key	ADJ
ejpam-6324	228	19	set	set	NOUN
ejpam-6324	228	20	x	x	PUNCT
ejpam-6324	228	21	such	such	ADJ
ejpam-6324	228	22	that	that	PRON
ejpam-6324	228	23	(	(	PUNCT
ejpam-6324	228	24	f̃	f̃	PROPN
ejpam-6324	228	25	,	,	PUNCT
ejpam-6324	228	26	é	é	PROPN
ejpam-6324	228	27	)	)	PUNCT
ejpam-6324	228	28	̸=	̸=	PROPN
ejpam-6324	228	29	(	(	PUNCT
ejpam-6324	228	30	g̃	g̃	PROPN
ejpam-6324	228	31	,	,	PUNCT
ejpam-6324	228	32	é	é	PROPN
ejpam-6324	228	33	)	)	PUNCT
ejpam-6324	228	34	.	.	PUNCT
ejpam-6324	229	1	then	then	ADV
ejpam-6324	229	2	their	their	PRON
ejpam-6324	229	3	intersection	intersection	NOUN
ejpam-6324	229	4	is	be	AUX
ejpam-6324	229	5	denoted	denote	VERB
ejpam-6324	229	6	by	by	ADP
ejpam-6324	229	7	(	(	PUNCT
ejpam-6324	229	8	f̃	f̃	PROPN
ejpam-6324	229	9	,	,	PUNCT
ejpam-6324	229	10	é	é	PROPN
ejpam-6324	229	11	)	)	PUNCT
ejpam-6324	229	12	⋒	⋒	PUNCT
ejpam-6324	229	13	(	(	PUNCT
ejpam-6324	229	14	g̃	g̃	PROPN
ejpam-6324	229	15	,	,	PUNCT
ejpam-6324	229	16	é	é	PROPN
ejpam-6324	229	17	)	)	PUNCT
ejpam-6324	229	18	=	=	SYM
ejpam-6324	229	19	(	(	PUNCT
ejpam-6324	229	20	h̃	h̃	PROPN
ejpam-6324	229	21	,	,	PUNCT
ejpam-6324	229	22	é	é	PROPN
ejpam-6324	229	23	)	)	PUNCT
ejpam-6324	229	24	and	and	CCONJ
ejpam-6324	229	25	is	be	AUX
ejpam-6324	229	26	defined	define	VERB
ejpam-6324	229	27	as	as	ADP
ejpam-6324	229	28	:	:	PUNCT
ejpam-6324	229	29	(	(	PUNCT
ejpam-6324	229	30	h̃	h̃	PROPN
ejpam-6324	229	31	,	,	PUNCT
ejpam-6324	229	32	é	é	PROPN
ejpam-6324	229	33	)	)	PUNCT
ejpam-6324	229	34	=	=	PRON
ejpam-6324	229	35	{	{	PUNCT
ejpam-6324	229	36	(	(	PUNCT
ejpam-6324	229	37	è	è	PROPN
ejpam-6324	229	38	,	,	PUNCT
ejpam-6324	229	39	⟨x	⟨x	VERB
ejpam-6324	229	40	,	,	PUNCT
ejpam-6324	229	41	abth̃(è)(x),reth̃(è)(x),refh̃(è)(x),abfh̃(è)(x)⟩	abth̃(è)(x),reth̃(è)(x),refh̃(è)(x),abfh̃(è)(x)⟩	PUNCT
ejpam-6324	229	42	:	:	PUNCT
ejpam-6324	229	43	x	x	PUNCT
ejpam-6324	229	44	∈	∈	NOUN
ejpam-6324	229	45	x	x	X
ejpam-6324	229	46	)	)	PUNCT
ejpam-6324	229	47	:	:	PUNCT
ejpam-6324	229	48	è	è	PROPN
ejpam-6324	229	49	∈	∈	PROPN
ejpam-6324	229	50	é	é	PROPN
ejpam-6324	229	51	}	}	PUNCT
ejpam-6324	229	52	.	.	PUNCT
ejpam-6324	230	1	where	where	SCONJ
ejpam-6324	230	2	abth̃(è)(x	abth̃(è)(x	NUM
ejpam-6324	230	3	)	)	PUNCT
ejpam-6324	231	1	=	=	SYM
ejpam-6324	231	2	min	min	NOUN
ejpam-6324	231	3	{	{	PUNCT
ejpam-6324	231	4	abtf̃	abtf̃	PROPN
ejpam-6324	231	5	(	(	PUNCT
ejpam-6324	231	6	è)(x),abtg̃(è)(x	è)(x),abtg̃(è)(x	NOUN
ejpam-6324	231	7	)	)	PUNCT
ejpam-6324	231	8	}	}	PUNCT
ejpam-6324	231	9	,	,	PUNCT
ejpam-6324	231	10	reth̃(è)(x	reth̃(è)(x	NOUN
ejpam-6324	231	11	)	)	PUNCT
ejpam-6324	231	12	=	=	SYM
ejpam-6324	231	13	min	min	NOUN
ejpam-6324	231	14	{	{	PUNCT
ejpam-6324	231	15	retf̃	retf̃	PROPN
ejpam-6324	231	16	(	(	PUNCT
ejpam-6324	231	17	è)(x),retg̃(è)(x	è)(x),retg̃(è)(x	PROPN
ejpam-6324	231	18	)	)	PUNCT
ejpam-6324	231	19	}	}	PUNCT
ejpam-6324	231	20	,	,	PUNCT
ejpam-6324	231	21	refh̃(è)(x	refh̃(è)(x	PROPN
ejpam-6324	231	22	)	)	PUNCT
ejpam-6324	232	1	=	=	SYM
ejpam-6324	232	2	max	max	PROPN
ejpam-6324	232	3	{	{	PUNCT
ejpam-6324	232	4	reff̃	reff̃	PROPN
ejpam-6324	232	5	(	(	PUNCT
ejpam-6324	232	6	è)(x),refg̃(è)(x	è)(x),refg̃(è)(x	PROPN
ejpam-6324	232	7	)	)	PUNCT
ejpam-6324	232	8	}	}	PUNCT
ejpam-6324	232	9	,	,	PUNCT
ejpam-6324	232	10	abfh̃(è)(x	abfh̃(è)(x	PROPN
ejpam-6324	232	11	)	)	PUNCT
ejpam-6324	233	1	=	=	SYM
ejpam-6324	233	2	max	max	PROPN
ejpam-6324	233	3	{	{	PUNCT
ejpam-6324	233	4	abff̃	abff̃	ADV
ejpam-6324	233	5	(	(	PUNCT
ejpam-6324	233	6	è)(x),abfg̃(è)(x	è)(x),abfg̃(è)(x	PROPN
ejpam-6324	233	7	)	)	PUNCT
ejpam-6324	233	8	}	}	PUNCT
ejpam-6324	233	9	.	.	PUNCT
ejpam-6324	234	1	definition	definition	NOUN
ejpam-6324	234	2	13	13	NUM
ejpam-6324	234	3	.	.	PUNCT
ejpam-6324	235	1	let	let	VERB
ejpam-6324	235	2	(	(	PUNCT
ejpam-6324	235	3	f̃	f̃	PROPN
ejpam-6324	235	4	,	,	PUNCT
ejpam-6324	235	5	é	é	PROPN
ejpam-6324	235	6	)	)	PUNCT
ejpam-6324	235	7	and	and	CCONJ
ejpam-6324	235	8	(	(	PUNCT
ejpam-6324	235	9	g̃	g̃	PROPN
ejpam-6324	235	10	,	,	PUNCT
ejpam-6324	235	11	é	é	PROPN
ejpam-6324	235	12	)	)	PUNCT
ejpam-6324	235	13	be	be	VERB
ejpam-6324	235	14	two	two	NUM
ejpam-6324	235	15	qpnsss	qpnsss	NOUN
ejpam-6324	235	16	over	over	ADP
ejpam-6324	235	17	the	the	DET
ejpam-6324	235	18	key	key	ADJ
ejpam-6324	235	19	set	set	NOUN
ejpam-6324	235	20	x	x	PUNCT
ejpam-6324	235	21	such	such	ADJ
ejpam-6324	235	22	that	that	PRON
ejpam-6324	235	23	(	(	PUNCT
ejpam-6324	235	24	f̃	f̃	PROPN
ejpam-6324	235	25	,	,	PUNCT
ejpam-6324	235	26	é	é	PROPN
ejpam-6324	235	27	)	)	PUNCT
ejpam-6324	235	28	̸=	̸=	PROPN
ejpam-6324	235	29	(	(	PUNCT
ejpam-6324	235	30	g̃	g̃	PROPN
ejpam-6324	235	31	,	,	PUNCT
ejpam-6324	235	32	é	é	PROPN
ejpam-6324	235	33	)	)	PUNCT
ejpam-6324	235	34	.	.	PUNCT
ejpam-6324	236	1	then	then	ADV
ejpam-6324	236	2	,	,	PUNCT
ejpam-6324	236	3	their	their	PRON
ejpam-6324	236	4	difference	difference	NOUN
ejpam-6324	236	5	is	be	AUX
ejpam-6324	236	6	denoted	denote	VERB
ejpam-6324	236	7	by	by	ADP
ejpam-6324	236	8	(	(	PUNCT
ejpam-6324	236	9	h̃	h̃	PROPN
ejpam-6324	236	10	,	,	PUNCT
ejpam-6324	236	11	é	é	PROPN
ejpam-6324	236	12	)	)	PUNCT
ejpam-6324	236	13	=	=	SYM
ejpam-6324	236	14	(	(	PUNCT
ejpam-6324	236	15	f̃	f̃	PROPN
ejpam-6324	236	16	,	,	PUNCT
ejpam-6324	236	17	é	é	PROPN
ejpam-6324	236	18	)	)	PUNCT
ejpam-6324	236	19	\	\	PUNCT
ejpam-6324	237	1	(	(	PUNCT
ejpam-6324	237	2	g̃	g̃	PROPN
ejpam-6324	237	3	,	,	PUNCT
ejpam-6324	237	4	é	é	PROPN
ejpam-6324	237	5	)	)	PUNCT
ejpam-6324	237	6	and	and	CCONJ
ejpam-6324	237	7	is	be	AUX
ejpam-6324	237	8	defined	define	VERB
ejpam-6324	237	9	as	as	ADP
ejpam-6324	237	10	:	:	PUNCT
ejpam-6324	237	11	(	(	PUNCT
ejpam-6324	237	12	h̃	h̃	PROPN
ejpam-6324	237	13	,	,	PUNCT
ejpam-6324	237	14	é	é	PROPN
ejpam-6324	237	15	)	)	PUNCT
ejpam-6324	237	16	=	=	SYM
ejpam-6324	237	17	(	(	PUNCT
ejpam-6324	237	18	f̃	f̃	PROPN
ejpam-6324	237	19	,	,	PUNCT
ejpam-6324	237	20	é	é	PROPN
ejpam-6324	237	21	)	)	PUNCT
ejpam-6324	237	22	⋒	⋒	PUNCT
ejpam-6324	237	23	(	(	PUNCT
ejpam-6324	237	24	g̃	g̃	PROPN
ejpam-6324	237	25	,	,	PUNCT
ejpam-6324	237	26	é)c	é)c	NOUN
ejpam-6324	237	27	,	,	PUNCT
ejpam-6324	237	28	such	such	ADJ
ejpam-6324	237	29	that	that	SCONJ
ejpam-6324	237	30	(	(	PUNCT
ejpam-6324	237	31	h̃	h̃	PROPN
ejpam-6324	237	32	,	,	PUNCT
ejpam-6324	237	33	é	é	PROPN
ejpam-6324	237	34	)	)	PUNCT
ejpam-6324	237	35	=	=	PRON
ejpam-6324	237	36	{	{	PUNCT
ejpam-6324	237	37	(	(	PUNCT
ejpam-6324	237	38	è	è	PROPN
ejpam-6324	237	39	,	,	PUNCT
ejpam-6324	237	40	⟨x	⟨x	VERB
ejpam-6324	237	41	,	,	PUNCT
ejpam-6324	237	42	abth̃(è)(x),reth̃(è)(x),refh̃(è)(x),abfh̃(è)(x)⟩	abth̃(è)(x),reth̃(è)(x),refh̃(è)(x),abfh̃(è)(x)⟩	X
ejpam-6324	237	43	)	)	PUNCT
ejpam-6324	237	44	:	:	PUNCT
ejpam-6324	238	1	x	x	X
ejpam-6324	238	2	∈	∈	NOUN
ejpam-6324	238	3	x	x	X
ejpam-6324	238	4	,	,	PUNCT
ejpam-6324	238	5	è	è	PROPN
ejpam-6324	238	6	∈	∈	PROPN
ejpam-6324	238	7	é	é	PROPN
ejpam-6324	238	8	}	}	PUNCT
ejpam-6324	238	9	.	.	PUNCT
ejpam-6324	239	1	m.	m.	NOUN
ejpam-6324	239	2	m.	m.	PROPN
ejpam-6324	239	3	saeed	saeed	PROPN
ejpam-6324	239	4	et	et	PROPN
ejpam-6324	239	5	al	al	PROPN
ejpam-6324	239	6	.	.	PUNCT
ejpam-6324	239	7	/	/	SYM
ejpam-6324	239	8	eur	eur	PROPN
ejpam-6324	239	9	.	.	PUNCT
ejpam-6324	240	1	j.	j.	PROPN
ejpam-6324	240	2	pure	pure	PROPN
ejpam-6324	240	3	appl	appl	PROPN
ejpam-6324	240	4	.	.	PROPN
ejpam-6324	240	5	math	math	PROPN
ejpam-6324	240	6	,	,	PUNCT
ejpam-6324	240	7	18	18	NUM
ejpam-6324	240	8	(	(	PUNCT
ejpam-6324	240	9	3	3	NUM
ejpam-6324	240	10	)	)	PUNCT
ejpam-6324	240	11	(	(	PUNCT
ejpam-6324	240	12	2025	2025	NUM
ejpam-6324	240	13	)	)	PUNCT
ejpam-6324	240	14	,	,	PUNCT
ejpam-6324	240	15	6324	6324	NUM
ejpam-6324	240	16	10	10	NUM
ejpam-6324	240	17	of	of	ADP
ejpam-6324	240	18	25	25	NUM
ejpam-6324	240	19	where	where	SCONJ
ejpam-6324	240	20	abth̃(è)(x	abth̃(è)(x	NUM
ejpam-6324	240	21	)	)	PUNCT
ejpam-6324	241	1	=	=	SYM
ejpam-6324	241	2	min	min	NOUN
ejpam-6324	241	3	{	{	PUNCT
ejpam-6324	241	4	abtf̃	abtf̃	PROPN
ejpam-6324	241	5	(	(	PUNCT
ejpam-6324	241	6	è)(x),abtg̃(è)(x	è)(x),abtg̃(è)(x	NOUN
ejpam-6324	241	7	)	)	PUNCT
ejpam-6324	241	8	}	}	PUNCT
ejpam-6324	241	9	,	,	PUNCT
ejpam-6324	241	10	reth̃(è)(x	reth̃(è)(x	NOUN
ejpam-6324	241	11	)	)	PUNCT
ejpam-6324	241	12	=	=	SYM
ejpam-6324	241	13	min	min	NOUN
ejpam-6324	241	14	{	{	PUNCT
ejpam-6324	241	15	retf̃	retf̃	PROPN
ejpam-6324	241	16	(	(	PUNCT
ejpam-6324	241	17	è)(x),retg̃(è)(x	è)(x),retg̃(è)(x	PROPN
ejpam-6324	241	18	)	)	PUNCT
ejpam-6324	241	19	}	}	PUNCT
ejpam-6324	241	20	,	,	PUNCT
ejpam-6324	241	21	refh̃(è)(x	refh̃(è)(x	PROPN
ejpam-6324	241	22	)	)	PUNCT
ejpam-6324	242	1	=	=	SYM
ejpam-6324	242	2	max	max	PROPN
ejpam-6324	242	3	{	{	PUNCT
ejpam-6324	242	4	reff̃	reff̃	PROPN
ejpam-6324	242	5	(	(	PUNCT
ejpam-6324	242	6	è)(x),refg̃(è)(x	è)(x),refg̃(è)(x	PROPN
ejpam-6324	242	7	)	)	PUNCT
ejpam-6324	242	8	}	}	PUNCT
ejpam-6324	242	9	,	,	PUNCT
ejpam-6324	242	10	abfh̃(è)(x	abfh̃(è)(x	PROPN
ejpam-6324	242	11	)	)	PUNCT
ejpam-6324	243	1	=	=	SYM
ejpam-6324	243	2	max	max	PROPN
ejpam-6324	243	3	{	{	PUNCT
ejpam-6324	243	4	abff̃	abff̃	ADV
ejpam-6324	243	5	(	(	PUNCT
ejpam-6324	243	6	è)(x),abfg̃(è)(x	è)(x),abfg̃(è)(x	PROPN
ejpam-6324	243	7	)	)	PUNCT
ejpam-6324	243	8	}	}	PUNCT
ejpam-6324	243	9	.	.	PUNCT
ejpam-6324	244	1	definition	definition	NOUN
ejpam-6324	244	2	14	14	NUM
ejpam-6324	244	3	.	.	PUNCT
ejpam-6324	245	1	let	let	VERB
ejpam-6324	245	2	{	{	PUNCT
ejpam-6324	245	3	(	(	PUNCT
ejpam-6324	245	4	f̃i	f̃i	NOUN
ejpam-6324	245	5	,	,	PUNCT
ejpam-6324	245	6	é	é	PROPN
ejpam-6324	245	7	)	)	PUNCT
ejpam-6324	245	8	:	:	PUNCT
ejpam-6324	246	1	i	i	PRON
ejpam-6324	246	2	∈	∈	VERB
ejpam-6324	246	3	i	i	PRON
ejpam-6324	246	4	}	}	PUNCT
ejpam-6324	246	5	be	be	VERB
ejpam-6324	246	6	a	a	DET
ejpam-6324	246	7	family	family	NOUN
ejpam-6324	246	8	of	of	ADP
ejpam-6324	246	9	qpnsss	qpnsss	NOUN
ejpam-6324	246	10	over	over	ADP
ejpam-6324	246	11	the	the	DET
ejpam-6324	246	12	key	key	ADJ
ejpam-6324	246	13	set	set	NOUN
ejpam-6324	246	14	x.	x.	NOUN
ejpam-6324	246	15	then	then	ADV
ejpam-6324	246	16	,	,	PUNCT
ejpam-6324	246	17	⋃	⋃	PROPN
ejpam-6324	246	18	i∈i	i∈i	ADJ
ejpam-6324	246	19	(	(	PUNCT
ejpam-6324	246	20	f̃i	f̃i	NOUN
ejpam-6324	246	21	,	,	PUNCT
ejpam-6324	246	22	é	é	PROPN
ejpam-6324	246	23	)	)	PUNCT
ejpam-6324	246	24	=	=	PRON
ejpam-6324	246	25	{	{	PUNCT
ejpam-6324	246	26	(	(	PUNCT
ejpam-6324	246	27	è	è	NOUN
ejpam-6324	246	28	,	,	PUNCT
ejpam-6324	246	29	⟨x	⟨x	VERB
ejpam-6324	246	30	,	,	PUNCT
ejpam-6324	246	31	sup	sup	NOUN
ejpam-6324	246	32	i∈i	i∈i	ADJ
ejpam-6324	246	33	abtf̃i(è	abtf̃i(è	PROPN
ejpam-6324	246	34	)	)	PUNCT
ejpam-6324	246	35	(	(	PUNCT
ejpam-6324	246	36	x	x	X
ejpam-6324	246	37	)	)	PUNCT
ejpam-6324	246	38	,	,	PUNCT
ejpam-6324	246	39	sup	sup	NOUN
ejpam-6324	246	40	i∈i	i∈i	ADJ
ejpam-6324	246	41	retf̃i(è	retf̃i(è	PROPN
ejpam-6324	246	42	)	)	PUNCT
ejpam-6324	246	43	(	(	PUNCT
ejpam-6324	246	44	x	x	X
ejpam-6324	246	45	)	)	PUNCT
ejpam-6324	246	46	,	,	PUNCT
ejpam-6324	246	47	inf	inf	PROPN
ejpam-6324	246	48	i∈i	i∈i	PROPN
ejpam-6324	246	49	reff̃i(è	reff̃i(è	PROPN
ejpam-6324	246	50	)	)	PUNCT
ejpam-6324	246	51	(	(	PUNCT
ejpam-6324	246	52	x	x	X
ejpam-6324	246	53	)	)	PUNCT
ejpam-6324	246	54	,	,	PUNCT
ejpam-6324	246	55	inf	inf	PROPN
ejpam-6324	246	56	i∈i	i∈i	ADJ
ejpam-6324	246	57	abff̃i(è	abff̃i(è	PROPN
ejpam-6324	246	58	)	)	PUNCT
ejpam-6324	246	59	(	(	PUNCT
ejpam-6324	246	60	x)⟩	x)⟩	NOUN
ejpam-6324	246	61	)	)	PUNCT
ejpam-6324	246	62	:	:	PUNCT
ejpam-6324	247	1	x	x	PUNCT
ejpam-6324	247	2	∈	∈	NOUN
ejpam-6324	247	3	x	x	X
ejpam-6324	247	4	,	,	PUNCT
ejpam-6324	247	5	è	è	PROPN
ejpam-6324	247	6	∈	∈	PROPN
ejpam-6324	247	7	é	é	PROPN
ejpam-6324	247	8	}	}	PUNCT
ejpam-6324	247	9	.	.	PUNCT
ejpam-6324	248	1	⋂	⋂	PROPN
ejpam-6324	248	2	i∈i	i∈i	ADJ
ejpam-6324	248	3	(	(	PUNCT
ejpam-6324	248	4	f̃i	f̃i	NOUN
ejpam-6324	248	5	,	,	PUNCT
ejpam-6324	248	6	é	é	PROPN
ejpam-6324	248	7	)	)	PUNCT
ejpam-6324	248	8	=	=	PRON
ejpam-6324	248	9	{	{	PUNCT
ejpam-6324	248	10	(	(	PUNCT
ejpam-6324	248	11	è	è	PROPN
ejpam-6324	248	12	,	,	PUNCT
ejpam-6324	248	13	⟨x	⟨x	NUM
ejpam-6324	248	14	,	,	PUNCT
ejpam-6324	248	15	inf	inf	PROPN
ejpam-6324	248	16	i∈i	i∈i	ADJ
ejpam-6324	248	17	abtf̃i(è	abtf̃i(è	PROPN
ejpam-6324	248	18	)	)	PUNCT
ejpam-6324	248	19	(	(	PUNCT
ejpam-6324	248	20	x	x	X
ejpam-6324	248	21	)	)	PUNCT
ejpam-6324	248	22	,	,	PUNCT
ejpam-6324	248	23	inf	inf	PROPN
ejpam-6324	248	24	i∈i	i∈i	ADJ
ejpam-6324	248	25	retf̃i(è	retf̃i(è	PROPN
ejpam-6324	248	26	)	)	PUNCT
ejpam-6324	248	27	(	(	PUNCT
ejpam-6324	248	28	x	x	X
ejpam-6324	248	29	)	)	PUNCT
ejpam-6324	248	30	,	,	PUNCT
ejpam-6324	248	31	sup	sup	NOUN
ejpam-6324	248	32	i∈i	i∈i	ADJ
ejpam-6324	248	33	reff̃i(è	reff̃i(è	PROPN
ejpam-6324	248	34	)	)	PUNCT
ejpam-6324	248	35	(	(	PUNCT
ejpam-6324	248	36	x	x	X
ejpam-6324	248	37	)	)	PUNCT
ejpam-6324	248	38	,	,	PUNCT
ejpam-6324	248	39	sup	sup	NOUN
ejpam-6324	248	40	i∈i	i∈i	ADJ
ejpam-6324	248	41	abff̃i(è	abff̃i(è	PROPN
ejpam-6324	248	42	)	)	PUNCT
ejpam-6324	248	43	(	(	PUNCT
ejpam-6324	248	44	x)⟩	x)⟩	NOUN
ejpam-6324	248	45	)	)	PUNCT
ejpam-6324	248	46	:	:	PUNCT
ejpam-6324	249	1	x	x	PUNCT
ejpam-6324	249	2	∈	∈	NOUN
ejpam-6324	249	3	x	x	X
ejpam-6324	249	4	,	,	PUNCT
ejpam-6324	249	5	è	è	PROPN
ejpam-6324	249	6	∈	∈	PROPN
ejpam-6324	249	7	é	é	PROPN
ejpam-6324	249	8	}	}	PUNCT
ejpam-6324	249	9	.	.	PUNCT
ejpam-6324	250	1	definition	definition	NOUN
ejpam-6324	250	2	15	15	NUM
ejpam-6324	250	3	.	.	PUNCT
ejpam-6324	251	1	let	let	VERB
ejpam-6324	251	2	(	(	PUNCT
ejpam-6324	251	3	f̃	f̃	PROPN
ejpam-6324	251	4	,	,	PUNCT
ejpam-6324	251	5	é	é	PROPN
ejpam-6324	251	6	)	)	PUNCT
ejpam-6324	251	7	and	and	CCONJ
ejpam-6324	251	8	(	(	PUNCT
ejpam-6324	251	9	g̃	g̃	PROPN
ejpam-6324	251	10	,	,	PUNCT
ejpam-6324	251	11	é	é	PROPN
ejpam-6324	251	12	)	)	PUNCT
ejpam-6324	251	13	be	be	VERB
ejpam-6324	251	14	two	two	NUM
ejpam-6324	251	15	qpnsss	qpnsss	NOUN
ejpam-6324	251	16	over	over	ADP
ejpam-6324	251	17	the	the	DET
ejpam-6324	251	18	key	key	ADJ
ejpam-6324	251	19	set	set	NOUN
ejpam-6324	251	20	x.	x.	NOUN
ejpam-6324	252	1	then	then	ADV
ejpam-6324	252	2	,	,	PUNCT
ejpam-6324	252	3	the	the	DET
ejpam-6324	252	4	”	"	PUNCT
ejpam-6324	252	5	and	and	CCONJ
ejpam-6324	252	6	”	"	PUNCT
ejpam-6324	252	7	operation	operation	NOUN
ejpam-6324	252	8	on	on	ADP
ejpam-6324	252	9	them	they	PRON
ejpam-6324	252	10	is	be	AUX
ejpam-6324	252	11	denoted	denote	VERB
ejpam-6324	252	12	by	by	ADP
ejpam-6324	252	13	(	(	PUNCT
ejpam-6324	252	14	f̃	f̃	PROPN
ejpam-6324	252	15	,	,	PUNCT
ejpam-6324	252	16	é)∧	é)∧	PROPN
ejpam-6324	252	17	(	(	PUNCT
ejpam-6324	252	18	g̃	g̃	PROPN
ejpam-6324	252	19	,	,	PUNCT
ejpam-6324	252	20	é	é	PROPN
ejpam-6324	252	21	)	)	PUNCT
ejpam-6324	252	22	=	=	SYM
ejpam-6324	252	23	(	(	PUNCT
ejpam-6324	252	24	h̃	h̃	PROPN
ejpam-6324	252	25	,	,	PUNCT
ejpam-6324	252	26	é×	é×	NOUN
ejpam-6324	252	27	é	é	PROPN
ejpam-6324	252	28	)	)	PUNCT
ejpam-6324	252	29	and	and	CCONJ
ejpam-6324	252	30	is	be	AUX
ejpam-6324	252	31	defined	define	VERB
ejpam-6324	252	32	as	as	ADP
ejpam-6324	252	33	:	:	PUNCT
ejpam-6324	252	34	(	(	PUNCT
ejpam-6324	252	35	h̃	h̃	PROPN
ejpam-6324	252	36	,	,	PUNCT
ejpam-6324	252	37	é	é	PROPN
ejpam-6324	252	38	×	×	NOUN
ejpam-6324	252	39	é	é	NOUN
ejpam-6324	252	40	)	)	PUNCT
ejpam-6324	252	41	=	=	PRON
ejpam-6324	252	42	{	{	PUNCT
ejpam-6324	252	43	(	(	PUNCT
ejpam-6324	252	44	(	(	PUNCT
ejpam-6324	252	45	è1	è1	VERB
ejpam-6324	252	46	,	,	PUNCT
ejpam-6324	252	47	è2	è2	NOUN
ejpam-6324	252	48	)	)	PUNCT
ejpam-6324	252	49	,	,	PUNCT
ejpam-6324	252	50	⟨x	⟨x	VERB
ejpam-6324	252	51	,	,	PUNCT
ejpam-6324	252	52	abth̃(è1	abth̃(è1	PROPN
ejpam-6324	252	53	,	,	PUNCT
ejpam-6324	252	54	è2)(x),reth̃(è1	è2)(x),reth̃(è1	PROPN
ejpam-6324	252	55	,	,	PUNCT
ejpam-6324	252	56	è2)(x	è2)(x	PROPN
ejpam-6324	252	57	)	)	PUNCT
ejpam-6324	252	58	,	,	PUNCT
ejpam-6324	252	59	refh̃(è1	refh̃(è1	PROPN
ejpam-6324	252	60	,	,	PUNCT
ejpam-6324	252	61	è2)(x),abfh̃(è1	è2)(x),abfh̃(è1	PROPN
ejpam-6324	252	62	,	,	PUNCT
ejpam-6324	252	63	è2)(x	è2)(x	PROPN
ejpam-6324	252	64	)	)	PUNCT
ejpam-6324	252	65	:	:	PUNCT
ejpam-6324	253	1	x	x	PUNCT
ejpam-6324	253	2	∈	∈	NOUN
ejpam-6324	253	3	x⟩	x⟩	PUNCT
ejpam-6324	253	4	)	)	PUNCT
ejpam-6324	253	5	:	:	PUNCT
ejpam-6324	253	6	(	(	PUNCT
ejpam-6324	253	7	è1	è1	VERB
ejpam-6324	253	8	,	,	PUNCT
ejpam-6324	253	9	è2	è2	NOUN
ejpam-6324	253	10	)	)	PUNCT
ejpam-6324	253	11	∈	∈	PROPN
ejpam-6324	253	12	é	é	VERB
ejpam-6324	253	13	×	×	NOUN
ejpam-6324	253	14	é	é	NOUN
ejpam-6324	253	15	}	}	PUNCT
ejpam-6324	253	16	.	.	PUNCT
ejpam-6324	254	1	where	where	SCONJ
ejpam-6324	254	2	abth̃(è)(x	abth̃(è)(x	NUM
ejpam-6324	254	3	)	)	PUNCT
ejpam-6324	255	1	=	=	SYM
ejpam-6324	255	2	min	min	NOUN
ejpam-6324	255	3	{	{	PUNCT
ejpam-6324	255	4	abtf̃	abtf̃	PROPN
ejpam-6324	255	5	(	(	PUNCT
ejpam-6324	255	6	è)(x),abtg̃(è)(x	è)(x),abtg̃(è)(x	NOUN
ejpam-6324	255	7	)	)	PUNCT
ejpam-6324	255	8	}	}	PUNCT
ejpam-6324	255	9	,	,	PUNCT
ejpam-6324	255	10	reth̃(è)(x	reth̃(è)(x	NOUN
ejpam-6324	255	11	)	)	PUNCT
ejpam-6324	255	12	=	=	SYM
ejpam-6324	255	13	min	min	NOUN
ejpam-6324	255	14	{	{	PUNCT
ejpam-6324	255	15	retf̃	retf̃	PROPN
ejpam-6324	255	16	(	(	PUNCT
ejpam-6324	255	17	è)(x),retg̃(è)(x	è)(x),retg̃(è)(x	PROPN
ejpam-6324	255	18	)	)	PUNCT
ejpam-6324	255	19	}	}	PUNCT
ejpam-6324	255	20	,	,	PUNCT
ejpam-6324	255	21	refh̃(è)(x	refh̃(è)(x	PROPN
ejpam-6324	255	22	)	)	PUNCT
ejpam-6324	256	1	=	=	SYM
ejpam-6324	256	2	max	max	PROPN
ejpam-6324	256	3	{	{	PUNCT
ejpam-6324	256	4	reff̃	reff̃	PROPN
ejpam-6324	256	5	(	(	PUNCT
ejpam-6324	256	6	è)(x),refg̃(è)(x	è)(x),refg̃(è)(x	PROPN
ejpam-6324	256	7	)	)	PUNCT
ejpam-6324	256	8	}	}	PUNCT
ejpam-6324	256	9	,	,	PUNCT
ejpam-6324	256	10	abfh̃(è)(x	abfh̃(è)(x	PROPN
ejpam-6324	256	11	)	)	PUNCT
ejpam-6324	257	1	=	=	SYM
ejpam-6324	257	2	max	max	PROPN
ejpam-6324	257	3	{	{	PUNCT
ejpam-6324	257	4	abff̃	abff̃	ADV
ejpam-6324	257	5	(	(	PUNCT
ejpam-6324	257	6	è)(x),abfg̃(è)(x	è)(x),abfg̃(è)(x	PROPN
ejpam-6324	257	7	)	)	PUNCT
ejpam-6324	257	8	}	}	PUNCT
ejpam-6324	257	9	.	.	PUNCT
ejpam-6324	258	1	definition	definition	NOUN
ejpam-6324	258	2	16	16	NUM
ejpam-6324	258	3	.	.	PUNCT
ejpam-6324	259	1	let	let	VERB
ejpam-6324	259	2	(	(	PUNCT
ejpam-6324	259	3	f̃	f̃	PROPN
ejpam-6324	259	4	,	,	PUNCT
ejpam-6324	259	5	é	é	PROPN
ejpam-6324	259	6	)	)	PUNCT
ejpam-6324	259	7	and	and	CCONJ
ejpam-6324	259	8	(	(	PUNCT
ejpam-6324	259	9	g̃	g̃	PROPN
ejpam-6324	259	10	,	,	PUNCT
ejpam-6324	259	11	é	é	PROPN
ejpam-6324	259	12	)	)	PUNCT
ejpam-6324	259	13	be	be	VERB
ejpam-6324	259	14	two	two	NUM
ejpam-6324	259	15	qpnsss	qpnsss	NOUN
ejpam-6324	259	16	over	over	ADP
ejpam-6324	259	17	the	the	DET
ejpam-6324	259	18	key	key	ADJ
ejpam-6324	259	19	set	set	NOUN
ejpam-6324	259	20	x.	x.	NOUN
ejpam-6324	260	1	then	then	ADV
ejpam-6324	260	2	,	,	PUNCT
ejpam-6324	260	3	the	the	DET
ejpam-6324	260	4	”	"	PUNCT
ejpam-6324	260	5	or	or	CCONJ
ejpam-6324	260	6	”	"	PUNCT
ejpam-6324	260	7	operation	operation	NOUN
ejpam-6324	260	8	on	on	ADP
ejpam-6324	260	9	them	they	PRON
ejpam-6324	260	10	is	be	AUX
ejpam-6324	260	11	denoted	denote	VERB
ejpam-6324	260	12	by	by	ADP
ejpam-6324	260	13	(	(	PUNCT
ejpam-6324	260	14	f̃	f̃	PROPN
ejpam-6324	260	15	,	,	PUNCT
ejpam-6324	260	16	é	é	PROPN
ejpam-6324	260	17	)	)	PUNCT
ejpam-6324	260	18	∨	∨	NOUN
ejpam-6324	260	19	(	(	PUNCT
ejpam-6324	260	20	g̃	g̃	PROPN
ejpam-6324	260	21	,	,	PUNCT
ejpam-6324	260	22	é	é	PROPN
ejpam-6324	260	23	)	)	PUNCT
ejpam-6324	260	24	=	=	SYM
ejpam-6324	260	25	(	(	PUNCT
ejpam-6324	260	26	h̃	h̃	PROPN
ejpam-6324	260	27	,	,	PUNCT
ejpam-6324	260	28	é	é	PROPN
ejpam-6324	260	29	×	×	NOUN
ejpam-6324	260	30	é	é	NOUN
ejpam-6324	260	31	)	)	PUNCT
ejpam-6324	260	32	and	and	CCONJ
ejpam-6324	260	33	is	be	AUX
ejpam-6324	260	34	defined	define	VERB
ejpam-6324	260	35	as	as	ADP
ejpam-6324	260	36	:	:	PUNCT
ejpam-6324	260	37	(	(	PUNCT
ejpam-6324	260	38	h̃	h̃	PROPN
ejpam-6324	260	39	,	,	PUNCT
ejpam-6324	260	40	é	é	PROPN
ejpam-6324	260	41	×	×	NOUN
ejpam-6324	260	42	é	é	NOUN
ejpam-6324	260	43	)	)	PUNCT
ejpam-6324	260	44	=	=	PRON
ejpam-6324	260	45	{	{	PUNCT
ejpam-6324	260	46	(	(	PUNCT
ejpam-6324	260	47	(	(	PUNCT
ejpam-6324	260	48	è1	è1	VERB
ejpam-6324	260	49	,	,	PUNCT
ejpam-6324	260	50	è2	è2	NOUN
ejpam-6324	260	51	)	)	PUNCT
ejpam-6324	260	52	,	,	PUNCT
ejpam-6324	260	53	⟨x	⟨x	VERB
ejpam-6324	260	54	,	,	PUNCT
ejpam-6324	260	55	abth̃(è1,è2	abth̃(è1,è2	NOUN
ejpam-6324	260	56	)	)	PUNCT
ejpam-6324	260	57	(	(	PUNCT
ejpam-6324	260	58	x),reth̃(è1,è2	x),reth̃(è1,è2	X
ejpam-6324	260	59	)	)	PUNCT
ejpam-6324	260	60	(	(	PUNCT
ejpam-6324	260	61	x	x	NOUN
ejpam-6324	260	62	)	)	PUNCT
ejpam-6324	260	63	,	,	PUNCT
ejpam-6324	260	64	refh̃(è1,è2	refh̃(è1,è2	NOUN
ejpam-6324	260	65	)	)	PUNCT
ejpam-6324	260	66	(	(	PUNCT
ejpam-6324	260	67	x),abfh̃(è1,è2	x),abfh̃(è1,è2	X
ejpam-6324	260	68	)	)	PUNCT
ejpam-6324	260	69	(	(	PUNCT
ejpam-6324	260	70	x	x	X
ejpam-6324	260	71	)	)	PUNCT
ejpam-6324	260	72	:	:	PUNCT
ejpam-6324	260	73	x	x	PUNCT
ejpam-6324	260	74	∈	∈	NOUN
ejpam-6324	260	75	x⟩	x⟩	PUNCT
ejpam-6324	260	76	)	)	PUNCT
ejpam-6324	260	77	:	:	PUNCT
ejpam-6324	260	78	(	(	PUNCT
ejpam-6324	260	79	è1	è1	VERB
ejpam-6324	260	80	,	,	PUNCT
ejpam-6324	260	81	è2	è2	NOUN
ejpam-6324	260	82	)	)	PUNCT
ejpam-6324	260	83	∈	∈	PROPN
ejpam-6324	260	84	é	é	VERB
ejpam-6324	260	85	×	×	NOUN
ejpam-6324	260	86	é	é	PROPN
ejpam-6324	260	87	}	}	PUNCT
ejpam-6324	260	88	.	.	PUNCT
ejpam-6324	261	1	m.	m.	NOUN
ejpam-6324	261	2	m.	m.	PROPN
ejpam-6324	261	3	saeed	saeed	PROPN
ejpam-6324	261	4	et	et	PROPN
ejpam-6324	261	5	al	al	PROPN
ejpam-6324	261	6	.	.	PUNCT
ejpam-6324	261	7	/	/	SYM
ejpam-6324	261	8	eur	eur	PROPN
ejpam-6324	261	9	.	.	PUNCT
ejpam-6324	262	1	j.	j.	PROPN
ejpam-6324	262	2	pure	pure	PROPN
ejpam-6324	262	3	appl	appl	PROPN
ejpam-6324	262	4	.	.	PROPN
ejpam-6324	262	5	math	math	PROPN
ejpam-6324	262	6	,	,	PUNCT
ejpam-6324	262	7	18	18	NUM
ejpam-6324	262	8	(	(	PUNCT
ejpam-6324	262	9	3	3	NUM
ejpam-6324	262	10	)	)	PUNCT
ejpam-6324	262	11	(	(	PUNCT
ejpam-6324	262	12	2025	2025	NUM
ejpam-6324	262	13	)	)	PUNCT
ejpam-6324	262	14	,	,	PUNCT
ejpam-6324	262	15	6324	6324	NUM
ejpam-6324	262	16	11	11	NUM
ejpam-6324	262	17	of	of	ADP
ejpam-6324	262	18	25	25	NUM
ejpam-6324	262	19	where	where	SCONJ
ejpam-6324	262	20	abth̃(è)(x	abth̃(è)(x	NUM
ejpam-6324	262	21	)	)	PUNCT
ejpam-6324	263	1	=	=	SYM
ejpam-6324	263	2	max	max	PROPN
ejpam-6324	263	3	{	{	PUNCT
ejpam-6324	263	4	abtf̃	abtf̃	PROPN
ejpam-6324	263	5	(	(	PUNCT
ejpam-6324	263	6	è)(x),abtg̃(è)(x	è)(x),abtg̃(è)(x	NOUN
ejpam-6324	263	7	)	)	PUNCT
ejpam-6324	263	8	}	}	PUNCT
ejpam-6324	263	9	,	,	PUNCT
ejpam-6324	263	10	reth̃(è)(x	reth̃(è)(x	PROPN
ejpam-6324	263	11	)	)	PUNCT
ejpam-6324	263	12	=	=	SYM
ejpam-6324	263	13	max	max	PROPN
ejpam-6324	263	14	{	{	PUNCT
ejpam-6324	263	15	retf̃	retf̃	PROPN
ejpam-6324	263	16	(	(	PUNCT
ejpam-6324	263	17	è)(x),retg̃(è)(x	è)(x),retg̃(è)(x	PROPN
ejpam-6324	263	18	)	)	PUNCT
ejpam-6324	263	19	}	}	PUNCT
ejpam-6324	263	20	,	,	PUNCT
ejpam-6324	263	21	refh̃(è)(x	refh̃(è)(x	PROPN
ejpam-6324	263	22	)	)	PUNCT
ejpam-6324	264	1	=	=	SYM
ejpam-6324	264	2	min	min	NOUN
ejpam-6324	264	3	{	{	PUNCT
ejpam-6324	264	4	reff̃	reff̃	PROPN
ejpam-6324	264	5	(	(	PUNCT
ejpam-6324	264	6	è)(x),refg̃(è)(x	è)(x),refg̃(è)(x	PROPN
ejpam-6324	264	7	)	)	PUNCT
ejpam-6324	264	8	}	}	PUNCT
ejpam-6324	264	9	,	,	PUNCT
ejpam-6324	264	10	abfh̃(è)(x	abfh̃(è)(x	PROPN
ejpam-6324	264	11	)	)	PUNCT
ejpam-6324	265	1	=	=	SYM
ejpam-6324	265	2	min	min	NOUN
ejpam-6324	265	3	{	{	PUNCT
ejpam-6324	265	4	abff̃	abff̃	ADV
ejpam-6324	265	5	(	(	PUNCT
ejpam-6324	265	6	è)(x),abfg̃(è)(x	è)(x),abfg̃(è)(x	PROPN
ejpam-6324	265	7	)	)	PUNCT
ejpam-6324	265	8	}	}	PUNCT
ejpam-6324	265	9	.	.	PUNCT
ejpam-6324	266	1	definition	definition	NOUN
ejpam-6324	266	2	17	17	NUM
ejpam-6324	266	3	.	.	PUNCT
ejpam-6324	267	1	qpnss	qpnss	NOUN
ejpam-6324	267	2	(	(	PUNCT
ejpam-6324	267	3	f̃	f̃	PROPN
ejpam-6324	267	4	,	,	PUNCT
ejpam-6324	267	5	é	é	PROPN
ejpam-6324	267	6	)	)	PUNCT
ejpam-6324	267	7	over	over	ADP
ejpam-6324	267	8	the	the	DET
ejpam-6324	267	9	key	key	ADJ
ejpam-6324	267	10	set	set	NOUN
ejpam-6324	267	11	x	x	PUNCT
ejpam-6324	267	12	is	be	AUX
ejpam-6324	267	13	said	say	VERB
ejpam-6324	267	14	to	to	PART
ejpam-6324	267	15	be	be	AUX
ejpam-6324	267	16	a	a	DET
ejpam-6324	267	17	null	null	ADJ
ejpam-6324	267	18	qpnss	qpnss	NOUN
ejpam-6324	267	19	if	if	SCONJ
ejpam-6324	267	20	abtf̃	abtf̃	ADV
ejpam-6324	267	21	(	(	PUNCT
ejpam-6324	267	22	è)(x	è)(x	PROPN
ejpam-6324	267	23	)	)	PUNCT
ejpam-6324	267	24	=	=	SYM
ejpam-6324	267	25	0	0	NUM
ejpam-6324	267	26	,	,	PUNCT
ejpam-6324	267	27	retf̃	retf̃	NOUN
ejpam-6324	267	28	(	(	PUNCT
ejpam-6324	267	29	è)(x	è)(x	PROPN
ejpam-6324	267	30	)	)	PUNCT
ejpam-6324	267	31	=	=	SYM
ejpam-6324	267	32	0	0	NUM
ejpam-6324	267	33	,	,	PUNCT
ejpam-6324	267	34	∀è	∀è	NUM
ejpam-6324	267	35	∈	∈	PROPN
ejpam-6324	267	36	é,∀x	é,∀x	PUNCT
ejpam-6324	268	1	∈	∈	PROPN
ejpam-6324	268	2	x	x	SYM
ejpam-6324	268	3	,	,	PUNCT
ejpam-6324	268	4	reff̃	reff̃	PROPN
ejpam-6324	268	5	(	(	PUNCT
ejpam-6324	268	6	è)(x	è)(x	PROPN
ejpam-6324	268	7	)	)	PUNCT
ejpam-6324	268	8	=	=	SYM
ejpam-6324	268	9	1	1	NUM
ejpam-6324	268	10	,	,	PUNCT
ejpam-6324	268	11	abff̃	abff̃	ADV
ejpam-6324	268	12	(	(	PUNCT
ejpam-6324	268	13	è)(x	è)(x	PROPN
ejpam-6324	268	14	)	)	PUNCT
ejpam-6324	268	15	=	=	SYM
ejpam-6324	268	16	1	1	NUM
ejpam-6324	268	17	,	,	PUNCT
ejpam-6324	268	18	∀è	∀è	NUM
ejpam-6324	268	19	∈	∈	PROPN
ejpam-6324	268	20	é,∀x	é,∀x	PUNCT
ejpam-6324	269	1	∈	∈	PROPN
ejpam-6324	269	2	x.	x.	NOUN
ejpam-6324	270	1	it	it	PRON
ejpam-6324	270	2	is	be	AUX
ejpam-6324	270	3	signified	signify	VERB
ejpam-6324	270	4	as	as	ADP
ejpam-6324	270	5	0(x	0(x	NOUN
ejpam-6324	270	6	,	,	PUNCT
ejpam-6324	270	7	é	é	PROPN
ejpam-6324	270	8	)	)	PUNCT
ejpam-6324	270	9	.	.	PUNCT
ejpam-6324	271	1	definition	definition	NOUN
ejpam-6324	271	2	18	18	NUM
ejpam-6324	271	3	.	.	PUNCT
ejpam-6324	272	1	a	a	DET
ejpam-6324	272	2	quadri	quadri	NOUN
ejpam-6324	272	3	-	-	PUNCT
ejpam-6324	272	4	partitioned	partition	VERB
ejpam-6324	272	5	neutrosophic	neutrosophic	ADJ
ejpam-6324	272	6	soft	soft	ADJ
ejpam-6324	272	7	set	set	NOUN
ejpam-6324	272	8	(	(	PUNCT
ejpam-6324	272	9	f̃	f̃	PROPN
ejpam-6324	272	10	,	,	PUNCT
ejpam-6324	272	11	é	é	PROPN
ejpam-6324	272	12	)	)	PUNCT
ejpam-6324	272	13	over	over	ADP
ejpam-6324	272	14	the	the	DET
ejpam-6324	272	15	key	key	ADJ
ejpam-6324	272	16	set	set	NOUN
ejpam-6324	272	17	x	x	PUNCT
ejpam-6324	272	18	is	be	AUX
ejpam-6324	272	19	called	call	VERB
ejpam-6324	272	20	an	an	DET
ejpam-6324	272	21	absolute	absolute	ADJ
ejpam-6324	272	22	qpnss	qpnss	NOUN
ejpam-6324	272	23	if	if	SCONJ
ejpam-6324	272	24	abtf̃	abtf̃	ADV
ejpam-6324	272	25	(	(	PUNCT
ejpam-6324	272	26	è)(x	è)(x	PROPN
ejpam-6324	272	27	)	)	PUNCT
ejpam-6324	272	28	=	=	SYM
ejpam-6324	272	29	1	1	NUM
ejpam-6324	272	30	,	,	PUNCT
ejpam-6324	272	31	retf̃	retf̃	NOUN
ejpam-6324	272	32	(	(	PUNCT
ejpam-6324	272	33	è)(x	è)(x	PROPN
ejpam-6324	272	34	)	)	PUNCT
ejpam-6324	272	35	=	=	SYM
ejpam-6324	272	36	1	1	NUM
ejpam-6324	272	37	,	,	PUNCT
ejpam-6324	272	38	∀è	∀è	NUM
ejpam-6324	272	39	∈	∈	PROPN
ejpam-6324	272	40	é,∀x	é,∀x	PUNCT
ejpam-6324	273	1	∈	∈	PROPN
ejpam-6324	273	2	x	x	SYM
ejpam-6324	273	3	,	,	PUNCT
ejpam-6324	273	4	reff̃	reff̃	PROPN
ejpam-6324	273	5	(	(	PUNCT
ejpam-6324	273	6	è)(x	è)(x	PROPN
ejpam-6324	273	7	)	)	PUNCT
ejpam-6324	273	8	=	=	SYM
ejpam-6324	273	9	0	0	NUM
ejpam-6324	273	10	,	,	PUNCT
ejpam-6324	273	11	abff̃	abff̃	ADV
ejpam-6324	273	12	(	(	PUNCT
ejpam-6324	273	13	è)(x	è)(x	PROPN
ejpam-6324	273	14	)	)	PUNCT
ejpam-6324	273	15	=	=	SYM
ejpam-6324	273	16	0	0	NUM
ejpam-6324	273	17	,	,	PUNCT
ejpam-6324	273	18	∀è	∀è	NUM
ejpam-6324	273	19	∈	∈	PROPN
ejpam-6324	273	20	é,∀x	é,∀x	PUNCT
ejpam-6324	274	1	∈	∈	PROPN
ejpam-6324	274	2	x.	x.	NOUN
ejpam-6324	274	3	clearly	clearly	ADV
ejpam-6324	274	4	,	,	PUNCT
ejpam-6324	274	5	0c	0c	X
ejpam-6324	274	6	(	(	PUNCT
ejpam-6324	274	7	x	x	NOUN
ejpam-6324	274	8	,	,	PUNCT
ejpam-6324	274	9	é	é	PROPN
ejpam-6324	274	10	)	)	PUNCT
ejpam-6324	274	11	=	=	SYM
ejpam-6324	274	12	1(x	1(x	NUM
ejpam-6324	274	13	,	,	PUNCT
ejpam-6324	274	14	é	é	PROPN
ejpam-6324	274	15	)	)	PUNCT
ejpam-6324	274	16	,	,	PUNCT
ejpam-6324	274	17	1c	1c	NUM
ejpam-6324	274	18	(	(	PUNCT
ejpam-6324	274	19	x	x	NOUN
ejpam-6324	274	20	,	,	PUNCT
ejpam-6324	274	21	é	é	PROPN
ejpam-6324	274	22	)	)	PUNCT
ejpam-6324	274	23	=	=	SYM
ejpam-6324	274	24	0(x	0(x	NOUN
ejpam-6324	274	25	,	,	PUNCT
ejpam-6324	274	26	é	é	PROPN
ejpam-6324	274	27	)	)	PUNCT
ejpam-6324	274	28	.	.	PUNCT
ejpam-6324	275	1	definition	definition	NOUN
ejpam-6324	275	2	19	19	NUM
ejpam-6324	275	3	.	.	PUNCT
ejpam-6324	276	1	if	if	SCONJ
ejpam-6324	276	2	the	the	DET
ejpam-6324	276	3	family	family	NOUN
ejpam-6324	276	4	of	of	ADP
ejpam-6324	276	5	all	all	DET
ejpam-6324	276	6	qpnsss	qpnsss	NOUN
ejpam-6324	276	7	over	over	ADP
ejpam-6324	276	8	x	x	VERB
ejpam-6324	276	9	is	be	AUX
ejpam-6324	276	10	designated	designate	VERB
ejpam-6324	276	11	as	as	ADP
ejpam-6324	276	12	pnss(x	pnss(x	PROPN
ejpam-6324	276	13	)	)	PUNCT
ejpam-6324	276	14	,	,	PUNCT
ejpam-6324	276	15	then	then	ADV
ejpam-6324	276	16	xè⟨p1,p2,p3,p4⟩	xè⟨p1,p2,p3,p4⟩	PROPN
ejpam-6324	276	17	is	be	AUX
ejpam-6324	276	18	called	call	VERB
ejpam-6324	276	19	a	a	DET
ejpam-6324	276	20	qpns	qpns	NOUN
ejpam-6324	276	21	point	point	NOUN
ejpam-6324	276	22	for	for	ADP
ejpam-6324	276	23	every	every	DET
ejpam-6324	276	24	point	point	NOUN
ejpam-6324	276	25	x	x	X
ejpam-6324	276	26	∈	∈	PROPN
ejpam-6324	276	27	x	x	X
ejpam-6324	276	28	,	,	PUNCT
ejpam-6324	276	29	0	0	NUM
ejpam-6324	276	30	⪯	⪯	PROPN
ejpam-6324	276	31	p1	p1	PROPN
ejpam-6324	276	32	,	,	PUNCT
ejpam-6324	276	33	p2	p2	NOUN
ejpam-6324	276	34	,	,	PUNCT
ejpam-6324	276	35	p3	p3	NOUN
ejpam-6324	276	36	,	,	PUNCT
ejpam-6324	276	37	p4	p4	ADJ
ejpam-6324	276	38	⪯	⪯	NOUN
ejpam-6324	276	39	1	1	NUM
ejpam-6324	276	40	,	,	PUNCT
ejpam-6324	276	41	è	è	PROPN
ejpam-6324	276	42	∈	∈	PROPN
ejpam-6324	276	43	é	é	PROPN
ejpam-6324	276	44	,	,	PUNCT
ejpam-6324	276	45	and	and	CCONJ
ejpam-6324	276	46	is	be	AUX
ejpam-6324	276	47	given	give	VERB
ejpam-6324	276	48	by	by	ADP
ejpam-6324	276	49	:	:	PUNCT
ejpam-6324	276	50	xè⟨p1,p2,p3,p4⟩(y	xè⟨p1,p2,p3,p4⟩(y	PUNCT
ejpam-6324	276	51	)	)	PUNCT
ejpam-6324	277	1	=	=	PRON
ejpam-6324	277	2	{	{	PUNCT
ejpam-6324	277	3	⟨p1	⟨p1	NOUN
ejpam-6324	277	4	,	,	PUNCT
ejpam-6324	277	5	p2	p2	NOUN
ejpam-6324	277	6	,	,	PUNCT
ejpam-6324	277	7	p3	p3	PROPN
ejpam-6324	277	8	,	,	PUNCT
ejpam-6324	277	9	p4⟩	p4⟩	ADP
ejpam-6324	277	10	,	,	PUNCT
ejpam-6324	277	11	if	if	SCONJ
ejpam-6324	277	12	è	è	PROPN
ejpam-6324	277	13	=	=	PUNCT
ejpam-6324	277	14	è′	è′	PROPN
ejpam-6324	277	15	and	and	CCONJ
ejpam-6324	277	16	y	y	PROPN
ejpam-6324	277	17	=	=	SYM
ejpam-6324	277	18	x	x	PROPN
ejpam-6324	277	19	,	,	PUNCT
ejpam-6324	277	20	(	(	PUNCT
ejpam-6324	277	21	0	0	NUM
ejpam-6324	277	22	,	,	PUNCT
ejpam-6324	277	23	0	0	NUM
ejpam-6324	277	24	,	,	PUNCT
ejpam-6324	277	25	0	0	NUM
ejpam-6324	277	26	,	,	PUNCT
ejpam-6324	277	27	1	1	NUM
ejpam-6324	277	28	)	)	PUNCT
ejpam-6324	277	29	,	,	PUNCT
ejpam-6324	277	30	if	if	SCONJ
ejpam-6324	277	31	è′	è′	PROPN
ejpam-6324	277	32	̸=	̸=	PROPN
ejpam-6324	277	33	è	è	PROPN
ejpam-6324	277	34	or	or	CCONJ
ejpam-6324	277	35	y	y	PROPN
ejpam-6324	277	36	̸=	̸=	PROPN
ejpam-6324	277	37	x.	x.	NOUN
ejpam-6324	277	38	definition	definition	NOUN
ejpam-6324	277	39	20	20	NUM
ejpam-6324	277	40	.	.	PUNCT
ejpam-6324	278	1	let	let	VERB
ejpam-6324	278	2	(	(	PUNCT
ejpam-6324	278	3	f̃	f̃	PROPN
ejpam-6324	278	4	,	,	PUNCT
ejpam-6324	278	5	é	é	PROPN
ejpam-6324	278	6	)	)	PUNCT
ejpam-6324	278	7	be	be	VERB
ejpam-6324	278	8	a	a	DET
ejpam-6324	278	9	qpnss	qpnss	NOUN
ejpam-6324	278	10	over	over	ADP
ejpam-6324	278	11	the	the	DET
ejpam-6324	278	12	key	key	ADJ
ejpam-6324	278	13	set	set	NOUN
ejpam-6324	278	14	x	x	NOUN
ejpam-6324	278	15	,	,	PUNCT
ejpam-6324	279	1	xè⟨p1,p2,p3,p4⟩	xè⟨p1,p2,p3,p4⟩	PUNCT
ejpam-6324	279	2	∈	∈	PROPN
ejpam-6324	279	3	qpnss(f̃	qpnss(f̃	VERB
ejpam-6324	279	4	,	,	PUNCT
ejpam-6324	279	5	é	é	PROPN
ejpam-6324	279	6	)	)	PUNCT
ejpam-6324	279	7	if	if	SCONJ
ejpam-6324	279	8	p1	p1	PROPN
ejpam-6324	279	9	⪯	⪯	X
ejpam-6324	279	10	abtf̃	abtf̃	PUNCT
ejpam-6324	279	11	(	(	PUNCT
ejpam-6324	279	12	è)(x	è)(x	PROPN
ejpam-6324	279	13	)	)	PUNCT
ejpam-6324	279	14	,	,	PUNCT
ejpam-6324	279	15	p2	p2	PROPN
ejpam-6324	279	16	⪯	⪯	NOUN
ejpam-6324	279	17	retf̃	retf̃	NOUN
ejpam-6324	279	18	(	(	PUNCT
ejpam-6324	279	19	è)(x	è)(x	PROPN
ejpam-6324	279	20	)	)	PUNCT
ejpam-6324	279	21	,	,	PUNCT
ejpam-6324	279	22	p3	p3	NOUN
ejpam-6324	279	23	⪰	⪰	NOUN
ejpam-6324	279	24	reff̃	reff̃	PROPN
ejpam-6324	279	25	(	(	PUNCT
ejpam-6324	279	26	è)(x	è)(x	PROPN
ejpam-6324	279	27	)	)	PUNCT
ejpam-6324	279	28	,	,	PUNCT
ejpam-6324	279	29	p4	p4	ADJ
ejpam-6324	279	30	⪰	⪰	NOUN
ejpam-6324	279	31	abff̃	abff̃	ADV
ejpam-6324	279	32	(	(	PUNCT
ejpam-6324	279	33	è)(x	è)(x	PROPN
ejpam-6324	279	34	)	)	PUNCT
ejpam-6324	279	35	.	.	PUNCT
ejpam-6324	280	1	definition	definition	NOUN
ejpam-6324	280	2	21	21	NUM
ejpam-6324	280	3	.	.	PUNCT
ejpam-6324	281	1	let	let	VERB
ejpam-6324	281	2	the	the	DET
ejpam-6324	281	3	qpnss	qpnss	NOUN
ejpam-6324	281	4	(	(	PUNCT
ejpam-6324	281	5	x	x	NOUN
ejpam-6324	281	6	,	,	PUNCT
ejpam-6324	281	7	é	é	PROPN
ejpam-6324	281	8	)	)	PUNCT
ejpam-6324	281	9	be	be	VERB
ejpam-6324	281	10	the	the	DET
ejpam-6324	281	11	family	family	NOUN
ejpam-6324	281	12	of	of	ADP
ejpam-6324	281	13	all	all	DET
ejpam-6324	281	14	quadri	quadri	NOUN
ejpam-6324	281	15	-	-	PUNCT
ejpam-6324	281	16	partitioned	partition	VERB
ejpam-6324	281	17	neutrosophic	neutrosophic	ADJ
ejpam-6324	281	18	soft	soft	ADJ
ejpam-6324	281	19	sets	set	NOUN
ejpam-6324	281	20	,	,	PUNCT
ejpam-6324	281	21	and	and	CCONJ
ejpam-6324	281	22	let	let	VERB
ejpam-6324	281	23	τ	τ	PROPN
ejpam-6324	281	24	⊂	⊂	PROPN
ejpam-6324	281	25	qpnss(x	qpnss(x	PROPN
ejpam-6324	281	26	,	,	PUNCT
ejpam-6324	281	27	é	é	PROPN
ejpam-6324	281	28	)	)	PUNCT
ejpam-6324	281	29	.	.	PUNCT
ejpam-6324	282	1	then	then	ADV
ejpam-6324	282	2	,	,	PUNCT
ejpam-6324	282	3	τ	τ	PROPN
ejpam-6324	282	4	is	be	AUX
ejpam-6324	282	5	a	a	DET
ejpam-6324	282	6	quadri	quadri	NOUN
ejpam-6324	282	7	-	-	PUNCT
ejpam-6324	282	8	partitioned	partition	VERB
ejpam-6324	282	9	neutrosophic	neutrosophic	ADJ
ejpam-6324	282	10	soft	soft	ADJ
ejpam-6324	282	11	topology	topology	NOUN
ejpam-6324	282	12	(	(	PUNCT
ejpam-6324	282	13	qpnst	qpnst	ADJ
ejpam-6324	282	14	)	)	PUNCT
ejpam-6324	282	15	on	on	ADP
ejpam-6324	282	16	x̃	x̃	PROPN
ejpam-6324	282	17	if	if	SCONJ
ejpam-6324	282	18	:	:	PUNCT
ejpam-6324	282	19	m.	m.	NOUN
ejpam-6324	282	20	m.	m.	PROPN
ejpam-6324	282	21	saeed	saeed	PROPN
ejpam-6324	282	22	et	et	PROPN
ejpam-6324	282	23	al	al	PROPN
ejpam-6324	282	24	.	.	PUNCT
ejpam-6324	282	25	/	/	SYM
ejpam-6324	282	26	eur	eur	PROPN
ejpam-6324	282	27	.	.	PUNCT
ejpam-6324	283	1	j.	j.	PROPN
ejpam-6324	283	2	pure	pure	PROPN
ejpam-6324	283	3	appl	appl	PROPN
ejpam-6324	283	4	.	.	PROPN
ejpam-6324	283	5	math	math	PROPN
ejpam-6324	283	6	,	,	PUNCT
ejpam-6324	283	7	18	18	NUM
ejpam-6324	283	8	(	(	PUNCT
ejpam-6324	283	9	3	3	NUM
ejpam-6324	283	10	)	)	PUNCT
ejpam-6324	283	11	(	(	PUNCT
ejpam-6324	283	12	2025	2025	NUM
ejpam-6324	283	13	)	)	PUNCT
ejpam-6324	283	14	,	,	PUNCT
ejpam-6324	283	15	6324	6324	NUM
ejpam-6324	283	16	12	12	NUM
ejpam-6324	283	17	of	of	ADP
ejpam-6324	283	18	25	25	NUM
ejpam-6324	283	19	(	(	PUNCT
ejpam-6324	283	20	i	i	NOUN
ejpam-6324	283	21	)	)	PUNCT
ejpam-6324	283	22	0(x	0(x	NOUN
ejpam-6324	283	23	,	,	PUNCT
ejpam-6324	283	24	é	é	PROPN
ejpam-6324	283	25	)	)	PUNCT
ejpam-6324	283	26	,	,	PUNCT
ejpam-6324	283	27	1(x	1(x	NUM
ejpam-6324	283	28	,	,	PUNCT
ejpam-6324	283	29	é	é	PROPN
ejpam-6324	283	30	)	)	PUNCT
ejpam-6324	283	31	∈	∈	PROPN
ejpam-6324	283	32	τ	τ	X
ejpam-6324	283	33	,	,	PUNCT
ejpam-6324	283	34	(	(	PUNCT
ejpam-6324	283	35	ii	ii	NOUN
ejpam-6324	283	36	)	)	PUNCT
ejpam-6324	283	37	the	the	DET
ejpam-6324	283	38	union	union	NOUN
ejpam-6324	283	39	of	of	ADP
ejpam-6324	283	40	any	any	DET
ejpam-6324	283	41	number	number	NOUN
ejpam-6324	283	42	of	of	ADP
ejpam-6324	283	43	qpnsss	qpnsss	NOUN
ejpam-6324	283	44	in	in	ADP
ejpam-6324	283	45	τ	τ	PROPN
ejpam-6324	283	46	belongs	belong	VERB
ejpam-6324	283	47	to	to	ADP
ejpam-6324	283	48	τ	τ	PROPN
ejpam-6324	283	49	,	,	PUNCT
ejpam-6324	283	50	(	(	PUNCT
ejpam-6324	283	51	iii	iii	X
ejpam-6324	283	52	)	)	PUNCT
ejpam-6324	283	53	the	the	DET
ejpam-6324	283	54	intersection	intersection	NOUN
ejpam-6324	283	55	of	of	ADP
ejpam-6324	283	56	a	a	DET
ejpam-6324	283	57	finite	finite	ADJ
ejpam-6324	283	58	number	number	NOUN
ejpam-6324	283	59	of	of	ADP
ejpam-6324	283	60	qpnsss	qpnsss	NOUN
ejpam-6324	283	61	in	in	ADP
ejpam-6324	283	62	τ	τ	PROPN
ejpam-6324	283	63	belongs	belong	VERB
ejpam-6324	283	64	to	to	ADP
ejpam-6324	283	65	τ	τ	PROPN
ejpam-6324	283	66	.	.	PUNCT
ejpam-6324	284	1	then	then	ADV
ejpam-6324	284	2	,	,	PUNCT
ejpam-6324	284	3	(	(	PUNCT
ejpam-6324	284	4	x	x	X
ejpam-6324	284	5	,	,	PUNCT
ejpam-6324	284	6	τ	τ	PROPN
ejpam-6324	284	7	,	,	PUNCT
ejpam-6324	284	8	é	é	PROPN
ejpam-6324	284	9	)	)	PUNCT
ejpam-6324	284	10	is	be	AUX
ejpam-6324	284	11	said	say	VERB
ejpam-6324	284	12	to	to	PART
ejpam-6324	284	13	be	be	AUX
ejpam-6324	284	14	a	a	DET
ejpam-6324	284	15	quadri	quadri	NOUN
ejpam-6324	284	16	-	-	PUNCT
ejpam-6324	284	17	partitioned	partition	VERB
ejpam-6324	284	18	neutrosophic	neutrosophic	ADJ
ejpam-6324	284	19	soft	soft	ADJ
ejpam-6324	284	20	topological	topological	ADJ
ejpam-6324	284	21	space	space	NOUN
ejpam-6324	284	22	(	(	PUNCT
ejpam-6324	284	23	qpnsts	qpnst	NOUN
ejpam-6324	284	24	)	)	PUNCT
ejpam-6324	284	25	over	over	ADP
ejpam-6324	284	26	x.	x.	NOUN
ejpam-6324	284	27	each	each	DET
ejpam-6324	284	28	number	number	NOUN
ejpam-6324	284	29	of	of	ADP
ejpam-6324	284	30	τ	τ	PROPN
ejpam-6324	284	31	is	be	AUX
ejpam-6324	284	32	said	say	VERB
ejpam-6324	284	33	to	to	PART
ejpam-6324	284	34	be	be	AUX
ejpam-6324	284	35	a	a	DET
ejpam-6324	284	36	neutrosophic	neutrosophic	ADJ
ejpam-6324	284	37	soft	soft	ADJ
ejpam-6324	284	38	open	open	ADJ
ejpam-6324	284	39	set	set	VERB
ejpam-6324	284	40	definition	definition	NOUN
ejpam-6324	284	41	22	22	NUM
ejpam-6324	284	42	.	.	PUNCT
ejpam-6324	285	1	let	let	VERB
ejpam-6324	285	2	(	(	PUNCT
ejpam-6324	285	3	x	x	NOUN
ejpam-6324	285	4	,	,	PUNCT
ejpam-6324	285	5	τ	τ	PROPN
ejpam-6324	285	6	,	,	PUNCT
ejpam-6324	285	7	é	é	PROPN
ejpam-6324	285	8	)	)	PUNCT
ejpam-6324	285	9	be	be	VERB
ejpam-6324	285	10	a	a	DET
ejpam-6324	285	11	qpnsts	qpnst	NOUN
ejpam-6324	285	12	over	over	ADP
ejpam-6324	285	13	x	x	PUNCT
ejpam-6324	285	14	and	and	CCONJ
ejpam-6324	285	15	(	(	PUNCT
ejpam-6324	285	16	f̃	f̃	PROPN
ejpam-6324	285	17	,	,	PUNCT
ejpam-6324	285	18	é	é	PROPN
ejpam-6324	285	19	)	)	PUNCT
ejpam-6324	285	20	be	be	VERB
ejpam-6324	285	21	a	a	DET
ejpam-6324	285	22	qpnss	qpnss	NOUN
ejpam-6324	285	23	over	over	ADP
ejpam-6324	285	24	x.	x.	NOUN
ejpam-6324	285	25	then	then	ADV
ejpam-6324	285	26	(	(	PUNCT
ejpam-6324	285	27	f̃	f̃	PROPN
ejpam-6324	285	28	,	,	PUNCT
ejpam-6324	285	29	é	é	PROPN
ejpam-6324	285	30	)	)	PUNCT
ejpam-6324	285	31	is	be	AUX
ejpam-6324	285	32	said	say	VERB
ejpam-6324	285	33	to	to	PART
ejpam-6324	285	34	be	be	AUX
ejpam-6324	285	35	a	a	DET
ejpam-6324	285	36	quadri	quadri	NOUN
ejpam-6324	285	37	-	-	PUNCT
ejpam-6324	285	38	partitioned	partition	VERB
ejpam-6324	285	39	neutrosophic	neutrosophic	ADJ
ejpam-6324	285	40	soft	soft	ADJ
ejpam-6324	285	41	closed	closed	ADJ
ejpam-6324	285	42	set	set	NOUN
ejpam-6324	285	43	(	(	PUNCT
ejpam-6324	285	44	qpnscs	qpnsc	NOUN
ejpam-6324	285	45	)	)	PUNCT
ejpam-6324	285	46	if	if	SCONJ
ejpam-6324	285	47	its	its	PRON
ejpam-6324	285	48	complement	complement	NOUN
ejpam-6324	285	49	is	be	AUX
ejpam-6324	285	50	a	a	DET
ejpam-6324	285	51	qpns	qpns	NOUN
ejpam-6324	285	52	open	open	ADJ
ejpam-6324	285	53	set	set	NOUN
ejpam-6324	285	54	.	.	PUNCT
ejpam-6324	286	1	example	example	NOUN
ejpam-6324	287	1	1	1	NUM
ejpam-6324	287	2	.	.	PUNCT
ejpam-6324	287	3	suppose	suppose	VERB
ejpam-6324	287	4	that	that	SCONJ
ejpam-6324	287	5	x	x	PROPN
ejpam-6324	287	6	=	=	PRON
ejpam-6324	287	7	{	{	PUNCT
ejpam-6324	287	8	x1	x1	PROPN
ejpam-6324	287	9	,	,	PUNCT
ejpam-6324	287	10	x2	x2	PROPN
ejpam-6324	287	11	}	}	PUNCT
ejpam-6324	287	12	.	.	PUNCT
ejpam-6324	288	1	then	then	ADV
ejpam-6324	288	2	a	a	DET
ejpam-6324	288	3	quadri	quadri	NOUN
ejpam-6324	288	4	-	-	PUNCT
ejpam-6324	288	5	partitioned	partition	VERB
ejpam-6324	288	6	neutrosophic	neutrosophic	ADJ
ejpam-6324	288	7	set	set	VERB
ejpam-6324	288	8	a	a	DET
ejpam-6324	288	9	=	=	X
ejpam-6324	288	10	{	{	PUNCT
ejpam-6324	288	11	⟨x1	⟨x1	NOUN
ejpam-6324	288	12	,	,	PUNCT
ejpam-6324	288	13	0.1	0.1	NUM
ejpam-6324	288	14	,	,	PUNCT
ejpam-6324	288	15	0.2	0.2	NUM
ejpam-6324	288	16	,	,	PUNCT
ejpam-6324	288	17	0.1	0.1	NUM
ejpam-6324	288	18	,	,	PUNCT
ejpam-6324	288	19	0.5⟩	0.5⟩	NOUN
ejpam-6324	288	20	,	,	PUNCT
ejpam-6324	288	21	⟨x2	⟨x2	PROPN
ejpam-6324	288	22	,	,	PUNCT
ejpam-6324	288	23	0.5	0.5	NUM
ejpam-6324	288	24	,	,	PUNCT
ejpam-6324	288	25	0.2	0.2	NUM
ejpam-6324	288	26	,	,	PUNCT
ejpam-6324	288	27	0.2	0.2	NUM
ejpam-6324	288	28	,	,	PUNCT
ejpam-6324	288	29	0.7⟩	0.7⟩	NOUN
ejpam-6324	288	30	}	}	PUNCT
ejpam-6324	288	31	is	be	AUX
ejpam-6324	288	32	the	the	DET
ejpam-6324	288	33	union	union	NOUN
ejpam-6324	288	34	of	of	ADP
ejpam-6324	288	35	quadri	quadri	PROPN
ejpam-6324	288	36	-	-	PUNCT
ejpam-6324	288	37	partitioned	partition	VERB
ejpam-6324	288	38	neutrosophic	neutrosophic	ADJ
ejpam-6324	288	39	soft	soft	ADJ
ejpam-6324	288	40	points	point	NOUN
ejpam-6324	288	41	x1(0.1,0.2,0.1,0.5	x1(0.1,0.2,0.1,0.5	NUM
ejpam-6324	288	42	)	)	PUNCT
ejpam-6324	288	43	and	and	CCONJ
ejpam-6324	288	44	x2(0.5,0.2,0.2,0.7	x2(0.5,0.2,0.2,0.7	NUM
ejpam-6324	288	45	)	)	PUNCT
ejpam-6324	288	46	.	.	PUNCT
ejpam-6324	289	1	now	now	ADV
ejpam-6324	289	2	we	we	PRON
ejpam-6324	289	3	define	define	VERB
ejpam-6324	289	4	the	the	DET
ejpam-6324	289	5	concept	concept	NOUN
ejpam-6324	289	6	of	of	ADP
ejpam-6324	289	7	quadri	quadri	NOUN
ejpam-6324	289	8	-	-	PUNCT
ejpam-6324	289	9	partitioned	partition	VERB
ejpam-6324	289	10	neutrosophic	neutrosophic	ADJ
ejpam-6324	289	11	soft	soft	ADJ
ejpam-6324	289	12	points	point	NOUN
ejpam-6324	289	13	for	for	ADP
ejpam-6324	289	14	quadripartitioned	quadripartitione	VERB
ejpam-6324	289	15	neutrosophic	neutrosophic	ADJ
ejpam-6324	289	16	soft	soft	ADJ
ejpam-6324	289	17	sets	set	NOUN
ejpam-6324	289	18	.	.	PUNCT
ejpam-6324	290	1	example	example	NOUN
ejpam-6324	290	2	2	2	NUM
ejpam-6324	290	3	.	.	PUNCT
ejpam-6324	290	4	suppose	suppose	VERB
ejpam-6324	290	5	that	that	SCONJ
ejpam-6324	290	6	the	the	DET
ejpam-6324	290	7	universe	universe	NOUN
ejpam-6324	290	8	set	set	NOUN
ejpam-6324	290	9	x	x	PUNCT
ejpam-6324	290	10	is	be	AUX
ejpam-6324	290	11	given	give	VERB
ejpam-6324	290	12	by	by	ADP
ejpam-6324	290	13	x	x	X
ejpam-6324	290	14	=	=	SYM
ejpam-6324	290	15	{	{	PUNCT
ejpam-6324	290	16	x1	x1	PROPN
ejpam-6324	290	17	,	,	PUNCT
ejpam-6324	290	18	x2	x2	PROPN
ejpam-6324	290	19	}	}	PUNCT
ejpam-6324	290	20	and	and	CCONJ
ejpam-6324	290	21	the	the	DET
ejpam-6324	290	22	set	set	NOUN
ejpam-6324	290	23	of	of	ADP
ejpam-6324	290	24	parameters	parameter	NOUN
ejpam-6324	290	25	by	by	ADP
ejpam-6324	290	26	é	é	PROPN
ejpam-6324	290	27	=	=	SYM
ejpam-6324	290	28	{	{	PUNCT
ejpam-6324	290	29	è1	è1	VERB
ejpam-6324	290	30	,	,	PUNCT
ejpam-6324	290	31	è2	è2	NOUN
ejpam-6324	290	32	}	}	PUNCT
ejpam-6324	290	33	.	.	PUNCT
ejpam-6324	291	1	let	let	VERB
ejpam-6324	291	2	us	we	PRON
ejpam-6324	291	3	consider	consider	VERB
ejpam-6324	291	4	quadri	quadri	NOUN
ejpam-6324	291	5	-	-	PUNCT
ejpam-6324	291	6	partitioned	partition	VERB
ejpam-6324	291	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	291	8	soft	soft	ADJ
ejpam-6324	291	9	set	set	NOUN
ejpam-6324	291	10	(	(	PUNCT
ejpam-6324	291	11	f̃	f̃	PROPN
ejpam-6324	291	12	,	,	PUNCT
ejpam-6324	291	13	é	é	PROPN
ejpam-6324	291	14	)	)	PUNCT
ejpam-6324	291	15	over	over	ADP
ejpam-6324	291	16	the	the	DET
ejpam-6324	291	17	universe	universe	NOUN
ejpam-6324	291	18	set	set	NOUN
ejpam-6324	291	19	x	x	PUNCT
ejpam-6324	291	20	as	as	SCONJ
ejpam-6324	291	21	follows	follow	VERB
ejpam-6324	291	22	:	:	PUNCT
ejpam-6324	291	23	(	(	PUNCT
ejpam-6324	291	24	f̃	f̃	PROPN
ejpam-6324	291	25	,	,	PUNCT
ejpam-6324	291	26	é	é	PROPN
ejpam-6324	291	27	)	)	PUNCT
ejpam-6324	291	28	=	=	PRON
ejpam-6324	291	29	{	{	PUNCT
ejpam-6324	291	30	è1	è1	VERB
ejpam-6324	291	31	=	=	SYM
ejpam-6324	291	32	(	(	PUNCT
ejpam-6324	291	33	⟨x1	⟨x1	NOUN
ejpam-6324	291	34	,	,	PUNCT
ejpam-6324	291	35	0.3	0.3	NUM
ejpam-6324	291	36	,	,	PUNCT
ejpam-6324	291	37	0.4	0.4	NUM
ejpam-6324	291	38	,	,	PUNCT
ejpam-6324	291	39	0.3	0.3	NUM
ejpam-6324	291	40	,	,	PUNCT
ejpam-6324	291	41	0.6⟩	0.6⟩	NUM
ejpam-6324	291	42	,	,	PUNCT
ejpam-6324	291	43	⟨x2	⟨x2	PROPN
ejpam-6324	291	44	,	,	PUNCT
ejpam-6324	291	45	0.4	0.4	NUM
ejpam-6324	291	46	,	,	PUNCT
ejpam-6324	291	47	0.2	0.2	NUM
ejpam-6324	291	48	,	,	PUNCT
ejpam-6324	291	49	0.1	0.1	NUM
ejpam-6324	291	50	,	,	PUNCT
ejpam-6324	291	51	0.8⟩	0.8⟩	NUM
ejpam-6324	291	52	)	)	PUNCT
ejpam-6324	291	53	è2	è2	NOUN
ejpam-6324	292	1	=	=	SYM
ejpam-6324	292	2	(	(	PUNCT
ejpam-6324	292	3	⟨x1	⟨x1	NOUN
ejpam-6324	292	4	,	,	PUNCT
ejpam-6324	292	5	0.4	0.4	NUM
ejpam-6324	292	6	,	,	PUNCT
ejpam-6324	292	7	0.4	0.4	NUM
ejpam-6324	292	8	,	,	PUNCT
ejpam-6324	292	9	0.2	0.2	NUM
ejpam-6324	292	10	,	,	PUNCT
ejpam-6324	292	11	0.8⟩	0.8⟩	NUM
ejpam-6324	292	12	,	,	PUNCT
ejpam-6324	292	13	⟨x2	⟨x2	PROPN
ejpam-6324	292	14	,	,	PUNCT
ejpam-6324	292	15	0.3	0.3	NUM
ejpam-6324	292	16	,	,	PUNCT
ejpam-6324	292	17	0.4	0.4	NUM
ejpam-6324	292	18	,	,	PUNCT
ejpam-6324	292	19	0.3	0.3	NUM
ejpam-6324	292	20	,	,	PUNCT
ejpam-6324	292	21	0.2⟩	0.2⟩	NUM
ejpam-6324	292	22	)	)	PUNCT
ejpam-6324	292	23	}	}	PUNCT
ejpam-6324	292	24	it	it	PRON
ejpam-6324	292	25	is	be	AUX
ejpam-6324	292	26	clear	clear	ADJ
ejpam-6324	292	27	that	that	SCONJ
ejpam-6324	292	28	(	(	PUNCT
ejpam-6324	292	29	f̃	f̃	PROPN
ejpam-6324	292	30	,	,	PUNCT
ejpam-6324	292	31	é	é	PROPN
ejpam-6324	292	32	)	)	PUNCT
ejpam-6324	292	33	is	be	AUX
ejpam-6324	292	34	the	the	DET
ejpam-6324	292	35	union	union	NOUN
ejpam-6324	292	36	of	of	ADP
ejpam-6324	292	37	its	its	PRON
ejpam-6324	292	38	quadri	quadri	NOUN
ejpam-6324	292	39	-	-	PUNCT
ejpam-6324	292	40	partitioned	partition	VERB
ejpam-6324	292	41	neutrosophic	neutrosophic	ADJ
ejpam-6324	292	42	soft	soft	ADJ
ejpam-6324	292	43	points	point	NOUN
ejpam-6324	292	44	xè11(0.3,0.4,0.3,0.6	xè11(0.3,0.4,0.3,0.6	NOUN
ejpam-6324	292	45	)	)	PUNCT
ejpam-6324	292	46	,	,	PUNCT
ejpam-6324	292	47	xè21(0.4,0.2,0.1,0.8	xè21(0.4,0.2,0.1,0.8	ADV
ejpam-6324	292	48	)	)	PUNCT
ejpam-6324	292	49	,	,	PUNCT
ejpam-6324	292	50	xè12(0.4,0.4,0.2,0.8	xè12(0.4,0.4,0.2,0.8	PROPN
ejpam-6324	292	51	)	)	PUNCT
ejpam-6324	292	52	and	and	CCONJ
ejpam-6324	292	53	xè22(0.3,0.4,0.3,0.2	xè22(0.3,0.4,0.3,0.2	NOUN
ejpam-6324	292	54	)	)	PUNCT
ejpam-6324	292	55	here	here	ADV
ejpam-6324	292	56	,	,	PUNCT
ejpam-6324	292	57	xè11(0.3,0.4,0.3,0.6	xè11(0.3,0.4,0.3,0.6	NOUN
ejpam-6324	292	58	)	)	PUNCT
ejpam-6324	292	59	=	=	PRON
ejpam-6324	292	60	{	{	PUNCT
ejpam-6324	292	61	è1	è1	VERB
ejpam-6324	292	62	=	=	SYM
ejpam-6324	292	63	(	(	PUNCT
ejpam-6324	292	64	⟨x1	⟨x1	NOUN
ejpam-6324	292	65	,	,	PUNCT
ejpam-6324	292	66	0.3	0.3	NUM
ejpam-6324	292	67	,	,	PUNCT
ejpam-6324	292	68	0.4	0.4	NUM
ejpam-6324	292	69	,	,	PUNCT
ejpam-6324	292	70	0.3	0.3	NUM
ejpam-6324	292	71	,	,	PUNCT
ejpam-6324	292	72	0.6⟩	0.6⟩	NUM
ejpam-6324	292	73	,	,	PUNCT
ejpam-6324	292	74	⟨x2	⟨x2	PROPN
ejpam-6324	292	75	,	,	PUNCT
ejpam-6324	292	76	0	0	NUM
ejpam-6324	292	77	,	,	PUNCT
ejpam-6324	292	78	0	0	NUM
ejpam-6324	292	79	,	,	PUNCT
ejpam-6324	292	80	1	1	NUM
ejpam-6324	292	81	,	,	PUNCT
ejpam-6324	292	82	1⟩	1⟩	NUM
ejpam-6324	292	83	)	)	PUNCT
ejpam-6324	292	84	è2	è2	NOUN
ejpam-6324	292	85	=	=	SYM
ejpam-6324	292	86	(	(	PUNCT
ejpam-6324	292	87	⟨x1	⟨x1	NOUN
ejpam-6324	292	88	,	,	PUNCT
ejpam-6324	292	89	0	0	NUM
ejpam-6324	292	90	,	,	PUNCT
ejpam-6324	292	91	0	0	NUM
ejpam-6324	292	92	,	,	PUNCT
ejpam-6324	292	93	1	1	NUM
ejpam-6324	292	94	,	,	PUNCT
ejpam-6324	292	95	1⟩	1⟩	NUM
ejpam-6324	292	96	,	,	PUNCT
ejpam-6324	292	97	⟨x2	⟨x2	PROPN
ejpam-6324	292	98	,	,	PUNCT
ejpam-6324	292	99	0	0	NUM
ejpam-6324	292	100	,	,	PUNCT
ejpam-6324	292	101	0	0	NUM
ejpam-6324	292	102	,	,	PUNCT
ejpam-6324	292	103	1	1	NUM
ejpam-6324	292	104	,	,	PUNCT
ejpam-6324	292	105	1⟩	1⟩	NUM
ejpam-6324	292	106	)	)	PUNCT
ejpam-6324	292	107	}	}	PUNCT
ejpam-6324	292	108	xè21(0.4,0.4,0.2,0.8	xè21(0.4,0.4,0.2,0.8	X
ejpam-6324	292	109	)	)	PUNCT
ejpam-6324	292	110	=	=	PRON
ejpam-6324	292	111	{	{	PUNCT
ejpam-6324	292	112	è1	è1	VERB
ejpam-6324	292	113	=	=	SYM
ejpam-6324	292	114	(	(	PUNCT
ejpam-6324	292	115	⟨x1	⟨x1	NOUN
ejpam-6324	292	116	,	,	PUNCT
ejpam-6324	292	117	0	0	NUM
ejpam-6324	292	118	,	,	PUNCT
ejpam-6324	292	119	0	0	NUM
ejpam-6324	292	120	,	,	PUNCT
ejpam-6324	292	121	1	1	NUM
ejpam-6324	292	122	,	,	PUNCT
ejpam-6324	292	123	1⟩	1⟩	NUM
ejpam-6324	292	124	,	,	PUNCT
ejpam-6324	292	125	⟨x2	⟨x2	PROPN
ejpam-6324	292	126	,	,	PUNCT
ejpam-6324	292	127	0	0	NUM
ejpam-6324	292	128	,	,	PUNCT
ejpam-6324	292	129	0	0	NUM
ejpam-6324	292	130	,	,	PUNCT
ejpam-6324	292	131	1	1	NUM
ejpam-6324	292	132	,	,	PUNCT
ejpam-6324	292	133	1⟩	1⟩	NUM
ejpam-6324	292	134	)	)	PUNCT
ejpam-6324	292	135	è2	è2	NOUN
ejpam-6324	292	136	=	=	SYM
ejpam-6324	292	137	(	(	PUNCT
ejpam-6324	292	138	⟨x1	⟨x1	NOUN
ejpam-6324	292	139	,	,	PUNCT
ejpam-6324	292	140	0.4	0.4	NUM
ejpam-6324	292	141	,	,	PUNCT
ejpam-6324	292	142	0.4	0.4	NUM
ejpam-6324	292	143	,	,	PUNCT
ejpam-6324	292	144	0.2	0.2	NUM
ejpam-6324	292	145	,	,	PUNCT
ejpam-6324	292	146	0.8⟩	0.8⟩	NUM
ejpam-6324	292	147	,	,	PUNCT
ejpam-6324	292	148	⟨x2	⟨x2	PROPN
ejpam-6324	292	149	,	,	PUNCT
ejpam-6324	292	150	0	0	NUM
ejpam-6324	292	151	,	,	PUNCT
ejpam-6324	292	152	0	0	NUM
ejpam-6324	292	153	,	,	PUNCT
ejpam-6324	292	154	1	1	NUM
ejpam-6324	292	155	,	,	PUNCT
ejpam-6324	292	156	1⟩	1⟩	NUM
ejpam-6324	292	157	)	)	PUNCT
ejpam-6324	292	158	}	}	PUNCT
ejpam-6324	292	159	xè12(0.4,0.2,0.1,0.8	xè12(0.4,0.2,0.1,0.8	X
ejpam-6324	292	160	)	)	PUNCT
ejpam-6324	292	161	=	=	PRON
ejpam-6324	293	1	{	{	PUNCT
ejpam-6324	293	2	è1	è1	VERB
ejpam-6324	293	3	=	=	SYM
ejpam-6324	293	4	(	(	PUNCT
ejpam-6324	293	5	⟨x1	⟨x1	NOUN
ejpam-6324	293	6	,	,	PUNCT
ejpam-6324	293	7	0	0	NUM
ejpam-6324	293	8	,	,	PUNCT
ejpam-6324	293	9	0	0	NUM
ejpam-6324	293	10	,	,	PUNCT
ejpam-6324	293	11	1	1	NUM
ejpam-6324	293	12	,	,	PUNCT
ejpam-6324	293	13	1⟩	1⟩	NUM
ejpam-6324	293	14	,	,	PUNCT
ejpam-6324	293	15	⟨x2	⟨x2	PROPN
ejpam-6324	293	16	,	,	PUNCT
ejpam-6324	293	17	0.4	0.4	NUM
ejpam-6324	293	18	,	,	PUNCT
ejpam-6324	293	19	0.2	0.2	NUM
ejpam-6324	293	20	,	,	PUNCT
ejpam-6324	293	21	0.1	0.1	NUM
ejpam-6324	293	22	,	,	PUNCT
ejpam-6324	293	23	0.8⟩	0.8⟩	NUM
ejpam-6324	293	24	)	)	PUNCT
ejpam-6324	293	25	è2	è2	NOUN
ejpam-6324	293	26	=	=	SYM
ejpam-6324	293	27	(	(	PUNCT
ejpam-6324	293	28	⟨x1	⟨x1	NOUN
ejpam-6324	293	29	,	,	PUNCT
ejpam-6324	293	30	0	0	NUM
ejpam-6324	293	31	,	,	PUNCT
ejpam-6324	293	32	0	0	NUM
ejpam-6324	293	33	,	,	PUNCT
ejpam-6324	293	34	1	1	NUM
ejpam-6324	293	35	,	,	PUNCT
ejpam-6324	293	36	1⟩	1⟩	NUM
ejpam-6324	293	37	,	,	PUNCT
ejpam-6324	293	38	⟨x2	⟨x2	PROPN
ejpam-6324	293	39	,	,	PUNCT
ejpam-6324	293	40	0	0	NUM
ejpam-6324	293	41	,	,	PUNCT
ejpam-6324	293	42	0	0	NUM
ejpam-6324	293	43	,	,	PUNCT
ejpam-6324	293	44	1	1	NUM
ejpam-6324	293	45	,	,	PUNCT
ejpam-6324	293	46	1⟩	1⟩	NUM
ejpam-6324	293	47	)	)	PUNCT
ejpam-6324	293	48	}	}	PUNCT
ejpam-6324	293	49	xè22(0.3,0.4,0.3,0.2	xè22(0.3,0.4,0.3,0.2	X
ejpam-6324	293	50	)	)	PUNCT
ejpam-6324	293	51	=	=	PRON
ejpam-6324	293	52	{	{	PUNCT
ejpam-6324	293	53	è1	è1	VERB
ejpam-6324	293	54	=	=	SYM
ejpam-6324	293	55	(	(	PUNCT
ejpam-6324	293	56	⟨x1	⟨x1	NOUN
ejpam-6324	293	57	,	,	PUNCT
ejpam-6324	293	58	0	0	NUM
ejpam-6324	293	59	,	,	PUNCT
ejpam-6324	293	60	0	0	NUM
ejpam-6324	293	61	,	,	PUNCT
ejpam-6324	293	62	1	1	NUM
ejpam-6324	293	63	,	,	PUNCT
ejpam-6324	293	64	1⟩	1⟩	NUM
ejpam-6324	293	65	,	,	PUNCT
ejpam-6324	293	66	⟨x2	⟨x2	PROPN
ejpam-6324	293	67	,	,	PUNCT
ejpam-6324	293	68	0	0	NUM
ejpam-6324	293	69	,	,	PUNCT
ejpam-6324	293	70	0	0	NUM
ejpam-6324	293	71	,	,	PUNCT
ejpam-6324	293	72	1	1	NUM
ejpam-6324	293	73	,	,	PUNCT
ejpam-6324	293	74	1⟩	1⟩	NUM
ejpam-6324	293	75	)	)	PUNCT
ejpam-6324	293	76	è2	è2	NOUN
ejpam-6324	293	77	=	=	SYM
ejpam-6324	293	78	(	(	PUNCT
ejpam-6324	293	79	⟨x1	⟨x1	NOUN
ejpam-6324	293	80	,	,	PUNCT
ejpam-6324	293	81	0	0	NUM
ejpam-6324	293	82	,	,	PUNCT
ejpam-6324	293	83	0	0	NUM
ejpam-6324	293	84	,	,	PUNCT
ejpam-6324	293	85	1	1	NUM
ejpam-6324	293	86	,	,	PUNCT
ejpam-6324	293	87	1⟩	1⟩	NUM
ejpam-6324	293	88	,	,	PUNCT
ejpam-6324	293	89	⟨x2	⟨x2	PROPN
ejpam-6324	293	90	,	,	PUNCT
ejpam-6324	293	91	0.3	0.3	NUM
ejpam-6324	293	92	,	,	PUNCT
ejpam-6324	293	93	0.4	0.4	NUM
ejpam-6324	293	94	,	,	PUNCT
ejpam-6324	293	95	0.3	0.3	NUM
ejpam-6324	293	96	,	,	PUNCT
ejpam-6324	293	97	0.2⟩	0.2⟩	NUM
ejpam-6324	293	98	)	)	PUNCT
ejpam-6324	293	99	}	}	PUNCT
ejpam-6324	293	100	m.	m.	NOUN
ejpam-6324	293	101	m.	m.	PROPN
ejpam-6324	293	102	saeed	saeed	PROPN
ejpam-6324	293	103	et	et	PROPN
ejpam-6324	293	104	al	al	PROPN
ejpam-6324	293	105	.	.	PUNCT
ejpam-6324	293	106	/	/	SYM
ejpam-6324	293	107	eur	eur	PROPN
ejpam-6324	293	108	.	.	PUNCT
ejpam-6324	294	1	j.	j.	PROPN
ejpam-6324	294	2	pure	pure	PROPN
ejpam-6324	294	3	appl	appl	PROPN
ejpam-6324	294	4	.	.	PROPN
ejpam-6324	294	5	math	math	PROPN
ejpam-6324	294	6	,	,	PUNCT
ejpam-6324	294	7	18	18	NUM
ejpam-6324	294	8	(	(	PUNCT
ejpam-6324	294	9	3	3	NUM
ejpam-6324	294	10	)	)	PUNCT
ejpam-6324	294	11	(	(	PUNCT
ejpam-6324	294	12	2025	2025	NUM
ejpam-6324	294	13	)	)	PUNCT
ejpam-6324	294	14	,	,	PUNCT
ejpam-6324	294	15	6324	6324	NUM
ejpam-6324	294	16	13	13	NUM
ejpam-6324	294	17	of	of	ADP
ejpam-6324	294	18	25	25	NUM
ejpam-6324	294	19	definition	definition	NOUN
ejpam-6324	294	20	23	23	NUM
ejpam-6324	294	21	.	.	PUNCT
ejpam-6324	295	1	let	let	VERB
ejpam-6324	295	2	(	(	PUNCT
ejpam-6324	295	3	f̃	f̃	PROPN
ejpam-6324	295	4	,	,	PUNCT
ejpam-6324	295	5	é	é	PROPN
ejpam-6324	295	6	)	)	PUNCT
ejpam-6324	295	7	be	be	VERB
ejpam-6324	295	8	a	a	DET
ejpam-6324	295	9	qpnss	qpnss	NOUN
ejpam-6324	295	10	over	over	ADP
ejpam-6324	295	11	the	the	DET
ejpam-6324	295	12	key	key	ADJ
ejpam-6324	295	13	set	set	NOUN
ejpam-6324	295	14	x.	x.	NOUN
ejpam-6324	296	1	we	we	PRON
ejpam-6324	296	2	say	say	VERB
ejpam-6324	296	3	that	that	SCONJ
ejpam-6324	296	4	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	296	5	)	)	PUNCT
ejpam-6324	296	6	∈	∈	PROPN
ejpam-6324	296	7	(	(	PUNCT
ejpam-6324	296	8	f̃	f̃	PROPN
ejpam-6324	296	9	,	,	PUNCT
ejpam-6324	296	10	é	é	PROPN
ejpam-6324	296	11	)	)	PUNCT
ejpam-6324	296	12	read	read	NOUN
ejpam-6324	296	13	as	as	ADP
ejpam-6324	296	14	belonging	belong	VERB
ejpam-6324	296	15	to	to	ADP
ejpam-6324	296	16	the	the	DET
ejpam-6324	296	17	quadri	quadri	NOUN
ejpam-6324	296	18	-	-	PUNCT
ejpam-6324	296	19	partitioned	partition	VERB
ejpam-6324	296	20	neutrosophic	neutrosophic	ADJ
ejpam-6324	296	21	soft	soft	ADJ
ejpam-6324	296	22	set	set	NOUN
ejpam-6324	296	23	(	(	PUNCT
ejpam-6324	296	24	f̃	f̃	PROPN
ejpam-6324	296	25	,	,	PUNCT
ejpam-6324	296	26	é	é	PROPN
ejpam-6324	296	27	)	)	PUNCT
ejpam-6324	296	28	,	,	PUNCT
ejpam-6324	296	29	whenever	whenever	SCONJ
ejpam-6324	296	30	p1	p1	PROPN
ejpam-6324	296	31	⪯	⪯	PROPN
ejpam-6324	296	32	abtf̃	abtf̃	PUNCT
ejpam-6324	296	33	(	(	PUNCT
ejpam-6324	296	34	è)(x	è)(x	PROPN
ejpam-6324	296	35	)	)	PUNCT
ejpam-6324	296	36	,	,	PUNCT
ejpam-6324	296	37	p2	p2	PROPN
ejpam-6324	296	38	⪯	⪯	NOUN
ejpam-6324	296	39	retf̃	retf̃	NOUN
ejpam-6324	296	40	(	(	PUNCT
ejpam-6324	296	41	è)(x	è)(x	PROPN
ejpam-6324	296	42	)	)	PUNCT
ejpam-6324	296	43	,	,	PUNCT
ejpam-6324	296	44	p3	p3	NOUN
ejpam-6324	296	45	⪰	⪰	NOUN
ejpam-6324	296	46	reff̃	reff̃	PROPN
ejpam-6324	296	47	(	(	PUNCT
ejpam-6324	296	48	è)(x	è)(x	PROPN
ejpam-6324	296	49	)	)	PUNCT
ejpam-6324	296	50	,	,	PUNCT
ejpam-6324	296	51	p4	p4	ADJ
ejpam-6324	296	52	⪰	⪰	NOUN
ejpam-6324	296	53	abff̃	abff̃	ADV
ejpam-6324	296	54	(	(	PUNCT
ejpam-6324	296	55	è)(x	è)(x	PROPN
ejpam-6324	296	56	)	)	PUNCT
ejpam-6324	296	57	.	.	PUNCT
ejpam-6324	297	1	definition	definition	NOUN
ejpam-6324	297	2	24	24	NUM
ejpam-6324	297	3	.	.	PUNCT
ejpam-6324	298	1	let	let	VERB
ejpam-6324	298	2	(	(	PUNCT
ejpam-6324	298	3	x	x	NOUN
ejpam-6324	298	4	,	,	PUNCT
ejpam-6324	298	5	τ	τ	PROPN
ejpam-6324	298	6	,	,	PUNCT
ejpam-6324	298	7	é	é	PROPN
ejpam-6324	298	8	)	)	PUNCT
ejpam-6324	298	9	be	be	VERB
ejpam-6324	298	10	a	a	DET
ejpam-6324	298	11	quadri	quadri	NOUN
ejpam-6324	298	12	-	-	PUNCT
ejpam-6324	298	13	partitioned	partition	VERB
ejpam-6324	298	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	298	15	soft	soft	ADJ
ejpam-6324	298	16	topological	topological	ADJ
ejpam-6324	298	17	space	space	NOUN
ejpam-6324	298	18	over	over	ADP
ejpam-6324	298	19	x.	x.	PROPN
ejpam-6324	298	20	a	a	DET
ejpam-6324	298	21	quadri	quadri	NOUN
ejpam-6324	298	22	-	-	PUNCT
ejpam-6324	298	23	partitioned	partition	VERB
ejpam-6324	298	24	neutrosophic	neutrosophic	ADJ
ejpam-6324	298	25	soft	soft	ADJ
ejpam-6324	298	26	set	set	NOUN
ejpam-6324	298	27	(	(	PUNCT
ejpam-6324	298	28	f̃	f̃	PROPN
ejpam-6324	298	29	,	,	PUNCT
ejpam-6324	298	30	é	é	PROPN
ejpam-6324	298	31	)	)	PUNCT
ejpam-6324	298	32	in	in	ADP
ejpam-6324	298	33	(	(	PUNCT
ejpam-6324	298	34	x	x	NOUN
ejpam-6324	298	35	,	,	PUNCT
ejpam-6324	298	36	τ	τ	PROPN
ejpam-6324	298	37	,	,	PUNCT
ejpam-6324	298	38	é	é	PROPN
ejpam-6324	298	39	)	)	PUNCT
ejpam-6324	298	40	is	be	AUX
ejpam-6324	298	41	called	call	VERB
ejpam-6324	298	42	qpns	qpns	NOUN
ejpam-6324	298	43	neighbourhood	neighbourhood	NOUN
ejpam-6324	298	44	of	of	ADP
ejpam-6324	298	45	a	a	DET
ejpam-6324	298	46	qpns	qpns	NOUN
ejpam-6324	298	47	point	point	NOUN
ejpam-6324	298	48	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	298	49	)	)	PUNCT
ejpam-6324	298	50	∈	∈	PROPN
ejpam-6324	298	51	(	(	PUNCT
ejpam-6324	298	52	f̃	f̃	PROPN
ejpam-6324	298	53	,	,	PUNCT
ejpam-6324	298	54	é	é	PROPN
ejpam-6324	298	55	)	)	PUNCT
ejpam-6324	298	56	,	,	PUNCT
ejpam-6324	298	57	if	if	SCONJ
ejpam-6324	298	58	there	there	PRON
ejpam-6324	298	59	exists	exist	VERB
ejpam-6324	298	60	a	a	DET
ejpam-6324	298	61	qpns	qpns	NOUN
ejpam-6324	298	62	open	open	ADJ
ejpam-6324	298	63	set	set	NOUN
ejpam-6324	298	64	(	(	PUNCT
ejpam-6324	298	65	g̃	g̃	PROPN
ejpam-6324	298	66	,	,	PUNCT
ejpam-6324	298	67	é	é	PROPN
ejpam-6324	298	68	)	)	PUNCT
ejpam-6324	298	69	such	such	ADJ
ejpam-6324	298	70	that	that	SCONJ
ejpam-6324	298	71	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	298	72	)	)	PUNCT
ejpam-6324	298	73	∈	∈	PROPN
ejpam-6324	298	74	(	(	PUNCT
ejpam-6324	298	75	g̃	g̃	PROPN
ejpam-6324	298	76	,	,	PUNCT
ejpam-6324	298	77	é	é	PROPN
ejpam-6324	298	78	)	)	PUNCT
ejpam-6324	298	79	.	.	PUNCT
ejpam-6324	299	1	theorem	theorem	NOUN
ejpam-6324	299	2	1	1	X
ejpam-6324	299	3	.	.	PUNCT
ejpam-6324	300	1	let	let	VERB
ejpam-6324	300	2	(	(	PUNCT
ejpam-6324	300	3	x	x	NOUN
ejpam-6324	300	4	,	,	PUNCT
ejpam-6324	300	5	τ	τ	PROPN
ejpam-6324	300	6	,	,	PUNCT
ejpam-6324	300	7	é	é	PROPN
ejpam-6324	300	8	)	)	PUNCT
ejpam-6324	300	9	be	be	VERB
ejpam-6324	300	10	a	a	DET
ejpam-6324	300	11	qpnsts	qpnst	NOUN
ejpam-6324	300	12	and	and	CCONJ
ejpam-6324	300	13	(	(	PUNCT
ejpam-6324	300	14	f̃	f̃	PROPN
ejpam-6324	300	15	,	,	PUNCT
ejpam-6324	300	16	é	é	PROPN
ejpam-6324	300	17	)	)	PUNCT
ejpam-6324	300	18	be	be	AUX
ejpam-6324	300	19	a	a	DET
ejpam-6324	300	20	qpnss	qpnss	NOUN
ejpam-6324	300	21	over	over	ADP
ejpam-6324	300	22	x.	x.	NOUN
ejpam-6324	300	23	then	then	ADV
ejpam-6324	300	24	,	,	PUNCT
ejpam-6324	300	25	(	(	PUNCT
ejpam-6324	300	26	f̃	f̃	PROPN
ejpam-6324	300	27	,	,	PUNCT
ejpam-6324	300	28	é	é	PROPN
ejpam-6324	300	29	)	)	PUNCT
ejpam-6324	300	30	is	be	AUX
ejpam-6324	300	31	quadri	quadri	NOUN
ejpam-6324	300	32	-	-	PUNCT
ejpam-6324	300	33	partitioned	partition	VERB
ejpam-6324	300	34	neutrosophic	neutrosophic	ADJ
ejpam-6324	300	35	soft	soft	ADJ
ejpam-6324	300	36	open	open	ADJ
ejpam-6324	300	37	set	set	NOUN
ejpam-6324	300	38	if	if	SCONJ
ejpam-6324	300	39	and	and	CCONJ
ejpam-6324	300	40	only	only	ADV
ejpam-6324	300	41	if	if	SCONJ
ejpam-6324	300	42	(	(	PUNCT
ejpam-6324	300	43	f̃	f̃	PROPN
ejpam-6324	300	44	,	,	PUNCT
ejpam-6324	300	45	é	é	PROPN
ejpam-6324	300	46	)	)	PUNCT
ejpam-6324	300	47	is	be	AUX
ejpam-6324	300	48	a	a	DET
ejpam-6324	300	49	quadripartitioned	quadripartitione	VERB
ejpam-6324	300	50	neutrosophic	neutrosophic	ADJ
ejpam-6324	300	51	soft	soft	ADJ
ejpam-6324	300	52	neighborhood	neighborhood	NOUN
ejpam-6324	300	53	of	of	ADP
ejpam-6324	300	54	its	its	PRON
ejpam-6324	300	55	quadri	quadri	NOUN
ejpam-6324	300	56	-	-	PUNCT
ejpam-6324	300	57	partitioned	partition	VERB
ejpam-6324	300	58	neutrosophic	neutrosophic	ADJ
ejpam-6324	300	59	soft	soft	ADJ
ejpam-6324	300	60	points	point	NOUN
ejpam-6324	300	61	.	.	PUNCT
ejpam-6324	301	1	proof	proof	NOUN
ejpam-6324	301	2	.	.	PUNCT
ejpam-6324	302	1	let	let	VERB
ejpam-6324	302	2	(	(	PUNCT
ejpam-6324	302	3	f̃	f̃	PROPN
ejpam-6324	302	4	,	,	PUNCT
ejpam-6324	302	5	é	é	PROPN
ejpam-6324	302	6	)	)	PUNCT
ejpam-6324	302	7	is	be	AUX
ejpam-6324	302	8	a	a	DET
ejpam-6324	302	9	quadri	quadri	NOUN
ejpam-6324	302	10	-	-	PUNCT
ejpam-6324	302	11	partitioned	partition	VERB
ejpam-6324	302	12	neutrosophic	neutrosophic	ADJ
ejpam-6324	302	13	soft	soft	ADJ
ejpam-6324	302	14	open	open	ADJ
ejpam-6324	302	15	set	set	NOUN
ejpam-6324	302	16	and	and	CCONJ
ejpam-6324	302	17	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	302	18	)	)	PUNCT
ejpam-6324	302	19	∈	∈	PROPN
ejpam-6324	302	20	(	(	PUNCT
ejpam-6324	302	21	f̃	f̃	PROPN
ejpam-6324	302	22	,	,	PUNCT
ejpam-6324	302	23	é	é	PROPN
ejpam-6324	302	24	)	)	PUNCT
ejpam-6324	302	25	.	.	PUNCT
ejpam-6324	303	1	then	then	ADV
ejpam-6324	303	2	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	303	3	)	)	PUNCT
ejpam-6324	303	4	∈	∈	PROPN
ejpam-6324	303	5	(	(	PUNCT
ejpam-6324	303	6	f̃	f̃	PROPN
ejpam-6324	303	7	,	,	PUNCT
ejpam-6324	303	8	é	é	PROPN
ejpam-6324	303	9	)	)	PUNCT
ejpam-6324	303	10	⊂	⊂	PROPN
ejpam-6324	303	11	(	(	PUNCT
ejpam-6324	303	12	f̃	f̃	PROPN
ejpam-6324	303	13	,	,	PUNCT
ejpam-6324	303	14	é	é	PROPN
ejpam-6324	303	15	)	)	PUNCT
ejpam-6324	303	16	.	.	PUNCT
ejpam-6324	304	1	therefore	therefore	ADV
ejpam-6324	304	2	,	,	PUNCT
ejpam-6324	304	3	(	(	PUNCT
ejpam-6324	304	4	f̃	f̃	PROPN
ejpam-6324	304	5	,	,	PUNCT
ejpam-6324	304	6	é	é	PROPN
ejpam-6324	304	7	)	)	PUNCT
ejpam-6324	304	8	is	be	AUX
ejpam-6324	304	9	a	a	DET
ejpam-6324	304	10	quadri	quadri	NOUN
ejpam-6324	304	11	-	-	PUNCT
ejpam-6324	304	12	partitioned	partition	VERB
ejpam-6324	304	13	neutrosophic	neutrosophic	ADJ
ejpam-6324	304	14	soft	soft	ADJ
ejpam-6324	304	15	neighborhood	neighborhood	NOUN
ejpam-6324	304	16	of	of	ADP
ejpam-6324	304	17	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	304	18	)	)	PUNCT
ejpam-6324	304	19	.	.	PUNCT
ejpam-6324	305	1	conversely	conversely	ADV
ejpam-6324	305	2	,	,	PUNCT
ejpam-6324	305	3	if	if	SCONJ
ejpam-6324	305	4	(	(	PUNCT
ejpam-6324	305	5	f̃	f̃	PROPN
ejpam-6324	305	6	,	,	PUNCT
ejpam-6324	305	7	é	é	PROPN
ejpam-6324	305	8	)	)	PUNCT
ejpam-6324	305	9	is	be	AUX
ejpam-6324	305	10	a	a	DET
ejpam-6324	305	11	quadri	quadri	NOUN
ejpam-6324	305	12	-	-	PUNCT
ejpam-6324	305	13	partitioned	partition	VERB
ejpam-6324	305	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	305	15	soft	soft	ADJ
ejpam-6324	305	16	neighborhood	neighborhood	NOUN
ejpam-6324	305	17	of	of	ADP
ejpam-6324	305	18	its	its	PRON
ejpam-6324	305	19	quadripartitioned	quadripartitione	VERB
ejpam-6324	305	20	neutrosophic	neutrosophic	ADJ
ejpam-6324	305	21	soft	soft	ADJ
ejpam-6324	305	22	points	point	NOUN
ejpam-6324	305	23	.	.	PUNCT
ejpam-6324	306	1	let	let	VERB
ejpam-6324	306	2	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	306	3	)	)	PUNCT
ejpam-6324	306	4	∈	∈	PROPN
ejpam-6324	306	5	(	(	PUNCT
ejpam-6324	306	6	f̃	f̃	PROPN
ejpam-6324	306	7	,	,	PUNCT
ejpam-6324	306	8	é	é	PROPN
ejpam-6324	306	9	)	)	PUNCT
ejpam-6324	306	10	.	.	PUNCT
ejpam-6324	307	1	since	since	SCONJ
ejpam-6324	307	2	(	(	PUNCT
ejpam-6324	307	3	f̃	f̃	PROPN
ejpam-6324	307	4	,	,	PUNCT
ejpam-6324	307	5	é	é	PROPN
ejpam-6324	307	6	)	)	PUNCT
ejpam-6324	307	7	is	be	AUX
ejpam-6324	307	8	a	a	DET
ejpam-6324	307	9	quadripartitioned	quadripartitione	VERB
ejpam-6324	307	10	neutrosophic	neutrosophic	ADJ
ejpam-6324	307	11	soft	soft	ADJ
ejpam-6324	307	12	neighborhood	neighborhood	NOUN
ejpam-6324	307	13	of	of	ADP
ejpam-6324	307	14	its	its	PRON
ejpam-6324	307	15	quadri	quadri	NOUN
ejpam-6324	307	16	-	-	PUNCT
ejpam-6324	307	17	partitioned	partition	VERB
ejpam-6324	307	18	neutrosophic	neutrosophic	ADJ
ejpam-6324	307	19	soft	soft	ADJ
ejpam-6324	307	20	point	point	NOUN
ejpam-6324	307	21	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	307	22	)	)	PUNCT
ejpam-6324	307	23	,	,	PUNCT
ejpam-6324	307	24	there	there	PRON
ejpam-6324	307	25	exist	exist	VERB
ejpam-6324	307	26	(	(	PUNCT
ejpam-6324	307	27	g̃	g̃	PROPN
ejpam-6324	307	28	,	,	PUNCT
ejpam-6324	307	29	é	é	PROPN
ejpam-6324	307	30	)	)	PUNCT
ejpam-6324	307	31	∈	∈	PROPN
ejpam-6324	307	32	τ	τ	X
ejpam-6324	307	33	such	such	ADJ
ejpam-6324	307	34	that	that	SCONJ
ejpam-6324	307	35	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	307	36	)	)	PUNCT
ejpam-6324	307	37	∈	∈	PROPN
ejpam-6324	307	38	(	(	PUNCT
ejpam-6324	307	39	g̃	g̃	PROPN
ejpam-6324	307	40	,	,	PUNCT
ejpam-6324	307	41	é	é	PROPN
ejpam-6324	307	42	)	)	PUNCT
ejpam-6324	307	43	⊂	⊂	PROPN
ejpam-6324	307	44	(	(	PUNCT
ejpam-6324	307	45	f̃	f̃	PROPN
ejpam-6324	307	46	,	,	PUNCT
ejpam-6324	307	47	é	é	PROPN
ejpam-6324	307	48	)	)	PUNCT
ejpam-6324	307	49	.	.	PUNCT
ejpam-6324	308	1	since	since	SCONJ
ejpam-6324	308	2	(	(	PUNCT
ejpam-6324	308	3	f̃	f̃	PROPN
ejpam-6324	308	4	,	,	PUNCT
ejpam-6324	308	5	é	é	PROPN
ejpam-6324	308	6	)	)	PUNCT
ejpam-6324	308	7	=	=	SYM
ejpam-6324	308	8	∪{xè(p1,p2,p3,p4	∪{xè(p1,p2,p3,p4	NOUN
ejpam-6324	308	9	)	)	PUNCT
ejpam-6324	308	10	:	:	PUNCT
ejpam-6324	308	11	x	x	PUNCT
ejpam-6324	308	12	è	è	PROPN
ejpam-6324	308	13	⟨p1,p2,p3,p4⟩	⟨p1,p2,p3,p4⟩	PROPN
ejpam-6324	308	14	∈	∈	PROPN
ejpam-6324	308	15	(	(	PUNCT
ejpam-6324	308	16	f̃	f̃	PROPN
ejpam-6324	308	17	,	,	PUNCT
ejpam-6324	308	18	é	é	PROPN
ejpam-6324	308	19	)	)	PUNCT
ejpam-6324	308	20	}	}	PUNCT
ejpam-6324	308	21	it	it	PRON
ejpam-6324	308	22	follows	follow	VERB
ejpam-6324	308	23	that	that	SCONJ
ejpam-6324	308	24	(	(	PUNCT
ejpam-6324	308	25	f̃	f̃	PROPN
ejpam-6324	308	26	,	,	PUNCT
ejpam-6324	308	27	é	é	PROPN
ejpam-6324	308	28	)	)	PUNCT
ejpam-6324	308	29	is	be	AUX
ejpam-6324	308	30	a	a	DET
ejpam-6324	308	31	union	union	NOUN
ejpam-6324	308	32	of	of	ADP
ejpam-6324	308	33	quadri	quadri	NOUN
ejpam-6324	308	34	-	-	PUNCT
ejpam-6324	308	35	partitioned	partition	VERB
ejpam-6324	308	36	neutrosophic	neutrosophic	ADJ
ejpam-6324	308	37	soft	soft	ADJ
ejpam-6324	308	38	open	open	ADJ
ejpam-6324	308	39	sets	set	NOUN
ejpam-6324	308	40	and	and	CCONJ
ejpam-6324	308	41	hence	hence	ADV
ejpam-6324	308	42	(	(	PUNCT
ejpam-6324	308	43	f̃	f̃	PROPN
ejpam-6324	308	44	,	,	PUNCT
ejpam-6324	308	45	é	é	PROPN
ejpam-6324	308	46	)	)	PUNCT
ejpam-6324	308	47	is	be	AUX
ejpam-6324	308	48	a	a	DET
ejpam-6324	308	49	quadri	quadri	NOUN
ejpam-6324	308	50	-	-	PUNCT
ejpam-6324	308	51	partitioned	partition	VERB
ejpam-6324	308	52	neutrosophic	neutrosophic	ADJ
ejpam-6324	308	53	soft	soft	ADJ
ejpam-6324	308	54	open	open	ADJ
ejpam-6324	308	55	set	set	NOUN
ejpam-6324	308	56	.	.	PUNCT
ejpam-6324	309	1	the	the	DET
ejpam-6324	309	2	the	the	DET
ejpam-6324	309	3	neighborhood	neighborhood	NOUN
ejpam-6324	309	4	system	system	NOUN
ejpam-6324	309	5	of	of	ADP
ejpam-6324	309	6	a	a	DET
ejpam-6324	309	7	quadri	quadri	NOUN
ejpam-6324	309	8	-	-	PUNCT
ejpam-6324	309	9	partitioned	partition	VERB
ejpam-6324	309	10	neutrosophic	neutrosophic	ADJ
ejpam-6324	309	11	soft	soft	ADJ
ejpam-6324	309	12	point	point	NOUN
ejpam-6324	309	13	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	309	14	)	)	PUNCT
ejpam-6324	309	15	,	,	PUNCT
ejpam-6324	309	16	denoted	denote	VERB
ejpam-6324	309	17	by	by	ADP
ejpam-6324	309	18	u(xè(p1,p2,p3,p4),e	u(xè(p1,p2,p3,p4),e	NOUN
ejpam-6324	309	19	)	)	PUNCT
ejpam-6324	309	20	at	at	ADP
ejpam-6324	309	21	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	309	22	)	)	PUNCT
ejpam-6324	309	23	,	,	PUNCT
ejpam-6324	309	24	is	be	AUX
ejpam-6324	309	25	the	the	DET
ejpam-6324	309	26	family	family	NOUN
ejpam-6324	309	27	of	of	ADP
ejpam-6324	309	28	all	all	DET
ejpam-6324	309	29	its	its	PRON
ejpam-6324	309	30	neighborhoods	neighborhood	NOUN
ejpam-6324	309	31	in	in	ADP
ejpam-6324	309	32	a	a	DET
ejpam-6324	309	33	quadripartitioned	quadripartitione	VERB
ejpam-6324	309	34	neutrosophic	neutrosophic	ADJ
ejpam-6324	309	35	soft	soft	ADJ
ejpam-6324	309	36	topological	topological	ADJ
ejpam-6324	309	37	space	space	NOUN
ejpam-6324	309	38	.	.	PUNCT
ejpam-6324	310	1	theorem	theorem	NOUN
ejpam-6324	310	2	2	2	NUM
ejpam-6324	310	3	.	.	PUNCT
ejpam-6324	311	1	the	the	DET
ejpam-6324	311	2	neighborhood	neighborhood	NOUN
ejpam-6324	311	3	system	system	NOUN
ejpam-6324	311	4	u(xè(p1,p2,p3,p4),e	u(xè(p1,p2,p3,p4),e	NOUN
ejpam-6324	311	5	)	)	PUNCT
ejpam-6324	311	6	at	at	ADP
ejpam-6324	311	7	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	311	8	)	)	PUNCT
ejpam-6324	311	9	,	,	PUNCT
ejpam-6324	311	10	in	in	ADP
ejpam-6324	311	11	a	a	DET
ejpam-6324	311	12	quadripartitioned	quadripartitione	VERB
ejpam-6324	311	13	neutrosophic	neutrosophic	ADJ
ejpam-6324	311	14	soft	soft	ADJ
ejpam-6324	311	15	topological	topological	ADJ
ejpam-6324	311	16	space	space	NOUN
ejpam-6324	311	17	(	(	PUNCT
ejpam-6324	311	18	x	x	X
ejpam-6324	311	19	,	,	PUNCT
ejpam-6324	311	20	τ	τ	PROPN
ejpam-6324	311	21	,	,	PUNCT
ejpam-6324	311	22	é	é	PROPN
ejpam-6324	311	23	)	)	PUNCT
ejpam-6324	311	24	has	have	VERB
ejpam-6324	311	25	the	the	DET
ejpam-6324	311	26	following	follow	VERB
ejpam-6324	311	27	properties	property	NOUN
ejpam-6324	311	28	:	:	PUNCT
ejpam-6324	312	1	1	1	X
ejpam-6324	312	2	.	.	X
ejpam-6324	313	1	if	if	SCONJ
ejpam-6324	313	2	(	(	PUNCT
ejpam-6324	313	3	f̃	f̃	PROPN
ejpam-6324	313	4	,	,	PUNCT
ejpam-6324	313	5	é	é	PROPN
ejpam-6324	313	6	)	)	PUNCT
ejpam-6324	313	7	∈	∈	PROPN
ejpam-6324	313	8	u(xè(p1,p2,p3,p4),e	u(xè(p1,p2,p3,p4),e	NOUN
ejpam-6324	313	9	)	)	PUNCT
ejpam-6324	313	10	,	,	PUNCT
ejpam-6324	313	11	then	then	ADV
ejpam-6324	313	12	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	313	13	)	)	PUNCT
ejpam-6324	313	14	∈	∈	PROPN
ejpam-6324	313	15	(	(	PUNCT
ejpam-6324	313	16	f̃	f̃	PROPN
ejpam-6324	313	17	,	,	PUNCT
ejpam-6324	313	18	é	é	PROPN
ejpam-6324	313	19	)	)	PUNCT
ejpam-6324	313	20	;	;	PUNCT
ejpam-6324	313	21	2	2	X
ejpam-6324	313	22	.	.	X
ejpam-6324	314	1	if	if	SCONJ
ejpam-6324	314	2	(	(	PUNCT
ejpam-6324	314	3	f̃	f̃	PROPN
ejpam-6324	314	4	,	,	PUNCT
ejpam-6324	314	5	é	é	PROPN
ejpam-6324	314	6	)	)	PUNCT
ejpam-6324	314	7	∈	∈	PROPN
ejpam-6324	314	8	u(xè(p1,p2,p3,p4),e	u(xè(p1,p2,p3,p4),e	NOUN
ejpam-6324	314	9	)	)	PUNCT
ejpam-6324	314	10	and	and	CCONJ
ejpam-6324	314	11	(	(	PUNCT
ejpam-6324	314	12	f̃	f̃	PROPN
ejpam-6324	314	13	,	,	PUNCT
ejpam-6324	314	14	é	é	PROPN
ejpam-6324	314	15	)	)	PUNCT
ejpam-6324	314	16	⊂	⊂	PROPN
ejpam-6324	314	17	(	(	PUNCT
ejpam-6324	314	18	h̃	h̃	PROPN
ejpam-6324	314	19	,	,	PUNCT
ejpam-6324	314	20	é	é	PROPN
ejpam-6324	314	21	)	)	PUNCT
ejpam-6324	314	22	,	,	PUNCT
ejpam-6324	314	23	then(f̃	then(f̃	NOUN
ejpam-6324	314	24	,	,	PUNCT
ejpam-6324	314	25	é	é	PROPN
ejpam-6324	314	26	)	)	PUNCT
ejpam-6324	314	27	∈	∈	PROPN
ejpam-6324	314	28	u(xè(p1,p2,p3,p4),e	u(xè(p1,p2,p3,p4),e	NOUN
ejpam-6324	314	29	)	)	PUNCT
ejpam-6324	314	30	;	;	PUNCT
ejpam-6324	314	31	3	3	X
ejpam-6324	314	32	.	.	X
ejpam-6324	315	1	if	if	SCONJ
ejpam-6324	315	2	(	(	PUNCT
ejpam-6324	315	3	f̃	f̃	PROPN
ejpam-6324	315	4	,	,	PUNCT
ejpam-6324	315	5	é	é	PROPN
ejpam-6324	315	6	)	)	PUNCT
ejpam-6324	315	7	,	,	PUNCT
ejpam-6324	315	8	(	(	PUNCT
ejpam-6324	315	9	g̃	g̃	PROPN
ejpam-6324	315	10	,	,	PUNCT
ejpam-6324	315	11	é	é	PROPN
ejpam-6324	315	12	)	)	PUNCT
ejpam-6324	315	13	∈	∈	PROPN
ejpam-6324	315	14	u(xè(p1,p2,p3,p4),e	u(xè(p1,p2,p3,p4),e	NOUN
ejpam-6324	315	15	)	)	PUNCT
ejpam-6324	315	16	,	,	PUNCT
ejpam-6324	315	17	then	then	ADV
ejpam-6324	315	18	(	(	PUNCT
ejpam-6324	315	19	f̃	f̃	PROPN
ejpam-6324	315	20	,	,	PUNCT
ejpam-6324	315	21	é	é	PROPN
ejpam-6324	315	22	)	)	PUNCT
ejpam-6324	315	23	∩	∩	NOUN
ejpam-6324	315	24	(	(	PUNCT
ejpam-6324	315	25	g̃	g̃	PROPN
ejpam-6324	315	26	,	,	PUNCT
ejpam-6324	315	27	é	é	PROPN
ejpam-6324	315	28	)	)	PUNCT
ejpam-6324	315	29	∈	∈	PROPN
ejpam-6324	315	30	u(xè(p1,p2,p3,p4),e	u(xè(p1,p2,p3,p4),e	NOUN
ejpam-6324	315	31	)	)	PUNCT
ejpam-6324	315	32	;	;	PUNCT
ejpam-6324	315	33	m.	m.	NOUN
ejpam-6324	315	34	m.	m.	PROPN
ejpam-6324	315	35	saeed	saeed	PROPN
ejpam-6324	315	36	et	et	PROPN
ejpam-6324	315	37	al	al	PROPN
ejpam-6324	315	38	.	.	PUNCT
ejpam-6324	315	39	/	/	SYM
ejpam-6324	315	40	eur	eur	PROPN
ejpam-6324	315	41	.	.	PUNCT
ejpam-6324	316	1	j.	j.	PROPN
ejpam-6324	316	2	pure	pure	PROPN
ejpam-6324	316	3	appl	appl	PROPN
ejpam-6324	316	4	.	.	PROPN
ejpam-6324	316	5	math	math	PROPN
ejpam-6324	316	6	,	,	PUNCT
ejpam-6324	316	7	18	18	NUM
ejpam-6324	316	8	(	(	PUNCT
ejpam-6324	316	9	3	3	NUM
ejpam-6324	316	10	)	)	PUNCT
ejpam-6324	316	11	(	(	PUNCT
ejpam-6324	316	12	2025	2025	NUM
ejpam-6324	316	13	)	)	PUNCT
ejpam-6324	316	14	,	,	PUNCT
ejpam-6324	316	15	6324	6324	NUM
ejpam-6324	316	16	14	14	NUM
ejpam-6324	316	17	of	of	ADP
ejpam-6324	316	18	25	25	NUM
ejpam-6324	316	19	4	4	NUM
ejpam-6324	316	20	.	.	PUNCT
ejpam-6324	317	1	if	if	SCONJ
ejpam-6324	317	2	(	(	PUNCT
ejpam-6324	317	3	f̃	f̃	PROPN
ejpam-6324	317	4	,	,	PUNCT
ejpam-6324	317	5	é	é	PROPN
ejpam-6324	317	6	)	)	PUNCT
ejpam-6324	317	7	∈	∈	PROPN
ejpam-6324	317	8	u(xè(p1,p2,p3,p4),e	u(xè(p1,p2,p3,p4),e	PROPN
ejpam-6324	317	9	and	and	CCONJ
ejpam-6324	317	10	(	(	PUNCT
ejpam-6324	317	11	g̃	g̃	PROPN
ejpam-6324	317	12	,	,	PUNCT
ejpam-6324	317	13	é	é	PROPN
ejpam-6324	317	14	)	)	PUNCT
ejpam-6324	317	15	∈	∈	PROPN
ejpam-6324	317	16	u(xè(p1,p2,p3,p4),e	u(xè(p1,p2,p3,p4),e	NOUN
ejpam-6324	317	17	)	)	PUNCT
ejpam-6324	317	18	,	,	PUNCT
ejpam-6324	317	19	such	such	ADJ
ejpam-6324	317	20	that	that	SCONJ
ejpam-6324	317	21	(	(	PUNCT
ejpam-6324	317	22	g̃	g̃	PROPN
ejpam-6324	317	23	,	,	PUNCT
ejpam-6324	317	24	é	é	PROPN
ejpam-6324	317	25	)	)	PUNCT
ejpam-6324	317	26	∈	∈	PROPN
ejpam-6324	317	27	u(yè	u(yè	PROPN
ejpam-6324	317	28	′	′	NUM
ejpam-6324	317	29	(	(	PUNCT
ejpam-6324	317	30	p1,p2,p3,p4),e	p1,p2,p3,p4),e	NOUN
ejpam-6324	317	31	)	)	PUNCT
ejpam-6324	317	32	,	,	PUNCT
ejpam-6324	317	33	for	for	ADP
ejpam-6324	317	34	each	each	DET
ejpam-6324	317	35	∈	∈	PROPN
ejpam-6324	317	36	(	(	PUNCT
ejpam-6324	317	37	g̃	g̃	PROPN
ejpam-6324	317	38	,	,	PUNCT
ejpam-6324	317	39	é	é	PROPN
ejpam-6324	317	40	)	)	PUNCT
ejpam-6324	317	41	.	.	PUNCT
ejpam-6324	318	1	proof	proof	NOUN
ejpam-6324	318	2	.	.	PUNCT
ejpam-6324	319	1	obvious	obvious	ADJ
ejpam-6324	319	2	.	.	PUNCT
ejpam-6324	320	1	definition	definition	NOUN
ejpam-6324	320	2	25	25	NUM
ejpam-6324	320	3	.	.	PUNCT
ejpam-6324	321	1	let	let	VERB
ejpam-6324	321	2	(	(	PUNCT
ejpam-6324	321	3	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	321	4	)	)	PUNCT
ejpam-6324	321	5	)	)	PUNCT
ejpam-6324	322	1	and	and	CCONJ
ejpam-6324	322	2	(	(	PUNCT
ejpam-6324	322	3	yè	yè	PROPN
ejpam-6324	322	4	′	′	NUM
ejpam-6324	322	5	(	(	PUNCT
ejpam-6324	322	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	322	7	)	)	PUNCT
ejpam-6324	322	8	)	)	PUNCT
ejpam-6324	322	9	be	be	AUX
ejpam-6324	322	10	two	two	NUM
ejpam-6324	322	11	quadri	quadri	NOUN
ejpam-6324	322	12	-	-	PUNCT
ejpam-6324	322	13	partitioned	partition	VERB
ejpam-6324	322	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	322	15	soft	soft	ADJ
ejpam-6324	322	16	points	point	NOUN
ejpam-6324	322	17	.	.	PUNCT
ejpam-6324	323	1	for	for	ADP
ejpam-6324	323	2	the	the	DET
ejpam-6324	323	3	quadri	quadri	NOUN
ejpam-6324	323	4	-	-	PUNCT
ejpam-6324	323	5	partitioned	partition	VERB
ejpam-6324	323	6	neutrosophic	neutrosophic	ADJ
ejpam-6324	323	7	soft	soft	ADJ
ejpam-6324	323	8	points	point	NOUN
ejpam-6324	323	9	(	(	PUNCT
ejpam-6324	323	10	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	323	11	)	)	PUNCT
ejpam-6324	323	12	)	)	PUNCT
ejpam-6324	324	1	and	and	CCONJ
ejpam-6324	324	2	(	(	PUNCT
ejpam-6324	324	3	yè	yè	PROPN
ejpam-6324	324	4	′	′	NUM
ejpam-6324	324	5	(	(	PUNCT
ejpam-6324	324	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	324	7	)	)	PUNCT
ejpam-6324	324	8	)	)	PUNCT
ejpam-6324	324	9	over	over	ADP
ejpam-6324	324	10	a	a	DET
ejpam-6324	324	11	common	common	ADJ
ejpam-6324	324	12	universe	universe	NOUN
ejpam-6324	324	13	x	x	NOUN
ejpam-6324	324	14	,	,	PUNCT
ejpam-6324	324	15	we	we	PRON
ejpam-6324	324	16	say	say	VERB
ejpam-6324	324	17	that	that	SCONJ
ejpam-6324	324	18	these	these	PRON
ejpam-6324	324	19	are	be	AUX
ejpam-6324	324	20	distinct	distinct	ADJ
ejpam-6324	324	21	quadripartitioned	quadripartitione	VERB
ejpam-6324	324	22	neutrosophic	neutrosophic	ADJ
ejpam-6324	324	23	soft	soft	ADJ
ejpam-6324	324	24	points	point	NOUN
ejpam-6324	324	25	if	if	SCONJ
ejpam-6324	324	26	(	(	PUNCT
ejpam-6324	324	27	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	324	28	)	)	PUNCT
ejpam-6324	324	29	)	)	PUNCT
ejpam-6324	325	1	∩	∩	NOUN
ejpam-6324	325	2	(	(	PUNCT
ejpam-6324	325	3	yè	yè	PROPN
ejpam-6324	325	4	′	′	NUM
ejpam-6324	325	5	(	(	PUNCT
ejpam-6324	325	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	325	7	)	)	PUNCT
ejpam-6324	325	8	)	)	PUNCT
ejpam-6324	326	1	=	=	PUNCT
ejpam-6324	326	2	0(x	0(x	NOUN
ejpam-6324	326	3	,	,	PUNCT
ejpam-6324	326	4	é	é	PROPN
ejpam-6324	326	5	)	)	PUNCT
ejpam-6324	326	6	.	.	PUNCT
ejpam-6324	327	1	it	it	PRON
ejpam-6324	327	2	is	be	AUX
ejpam-6324	327	3	clear	clear	ADJ
ejpam-6324	327	4	that	that	SCONJ
ejpam-6324	327	5	(	(	PUNCT
ejpam-6324	327	6	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	327	7	)	)	PUNCT
ejpam-6324	327	8	)	)	PUNCT
ejpam-6324	328	1	and	and	CCONJ
ejpam-6324	328	2	(	(	PUNCT
ejpam-6324	328	3	yè	yè	PROPN
ejpam-6324	328	4	′	′	NUM
ejpam-6324	328	5	(	(	PUNCT
ejpam-6324	328	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	328	7	)	)	PUNCT
ejpam-6324	328	8	)	)	PUNCT
ejpam-6324	328	9	are	be	AUX
ejpam-6324	328	10	distinct	distinct	ADJ
ejpam-6324	328	11	quadri	quadri	NOUN
ejpam-6324	328	12	-	-	PUNCT
ejpam-6324	328	13	partitioned	partition	VERB
ejpam-6324	328	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	328	15	soft	soft	ADJ
ejpam-6324	328	16	points	point	NOUN
ejpam-6324	328	17	if	if	SCONJ
ejpam-6324	329	1	and	and	CCONJ
ejpam-6324	329	2	only	only	ADV
ejpam-6324	329	3	if	if	SCONJ
ejpam-6324	329	4	x	x	PROPN
ejpam-6324	329	5	̸=	̸=	PROPN
ejpam-6324	329	6	y	y	PROPN
ejpam-6324	329	7	or	or	CCONJ
ejpam-6324	329	8	è	è	PROPN
ejpam-6324	329	9	̸=	̸=	PROPN
ejpam-6324	329	10	è′.	è′.	PROPN
ejpam-6324	329	11	4	4	NUM
ejpam-6324	329	12	.	.	PUNCT
ejpam-6324	329	13	quadri	quadri	NOUN
ejpam-6324	329	14	-	-	PUNCT
ejpam-6324	329	15	partitioned	partition	VERB
ejpam-6324	329	16	neutrosophic	neutrosophic	ADJ
ejpam-6324	329	17	soft	soft	ADJ
ejpam-6324	329	18	separation	separation	NOUN
ejpam-6324	329	19	axioms	axiom	VERB
ejpam-6324	329	20	this	this	DET
ejpam-6324	329	21	section	section	NOUN
ejpam-6324	329	22	introduces	introduce	NOUN
ejpam-6324	329	23	and	and	CCONJ
ejpam-6324	329	24	explores	explore	VERB
ejpam-6324	329	25	new	new	ADJ
ejpam-6324	329	26	separation	separation	NOUN
ejpam-6324	329	27	axioms	axiom	VERB
ejpam-6324	329	28	within	within	ADP
ejpam-6324	329	29	the	the	DET
ejpam-6324	329	30	framework	framework	NOUN
ejpam-6324	329	31	of	of	ADP
ejpam-6324	329	32	quadri	quadri	NOUN
ejpam-6324	329	33	-	-	PUNCT
ejpam-6324	329	34	partitioned	partition	VERB
ejpam-6324	329	35	neutrosophic	neutrosophic	ADJ
ejpam-6324	329	36	soft	soft	ADJ
ejpam-6324	329	37	topological	topological	ADJ
ejpam-6324	329	38	spaces	space	NOUN
ejpam-6324	329	39	.	.	PUNCT
ejpam-6324	330	1	we	we	PRON
ejpam-6324	330	2	define	define	VERB
ejpam-6324	330	3	ti	ti	NOUN
ejpam-6324	330	4	,	,	PUNCT
ejpam-6324	330	5	(	(	PUNCT
ejpam-6324	330	6	i	i	NOUN
ejpam-6324	330	7	=	=	NOUN
ejpam-6324	330	8	0	0	NUM
ejpam-6324	330	9	,	,	PUNCT
ejpam-6324	330	10	1	1	NUM
ejpam-6324	330	11	,	,	PUNCT
ejpam-6324	330	12	2	2	NUM
ejpam-6324	330	13	,	,	PUNCT
ejpam-6324	330	14	3	3	NUM
ejpam-6324	330	15	,	,	PUNCT
ejpam-6324	330	16	4	4	X
ejpam-6324	330	17	)	)	PUNCT
ejpam-6324	330	18	separation	separation	NOUN
ejpam-6324	330	19	properties	property	NOUN
ejpam-6324	330	20	for	for	ADP
ejpam-6324	330	21	such	such	ADJ
ejpam-6324	330	22	spaces	space	NOUN
ejpam-6324	330	23	using	use	VERB
ejpam-6324	330	24	quadri	quadri	NOUN
ejpam-6324	330	25	-	-	PUNCT
ejpam-6324	330	26	partitioned	partition	VERB
ejpam-6324	330	27	neutrosophic	neutrosophic	ADJ
ejpam-6324	330	28	soft	soft	ADJ
ejpam-6324	330	29	points	point	NOUN
ejpam-6324	330	30	and	and	CCONJ
ejpam-6324	330	31	open	open	ADJ
ejpam-6324	330	32	sets	set	NOUN
ejpam-6324	330	33	.	.	PUNCT
ejpam-6324	331	1	examples	example	NOUN
ejpam-6324	331	2	illustrate	illustrate	VERB
ejpam-6324	331	3	spaces	space	NOUN
ejpam-6324	331	4	that	that	PRON
ejpam-6324	331	5	satisfy	satisfy	VERB
ejpam-6324	331	6	or	or	CCONJ
ejpam-6324	331	7	fail	fail	VERB
ejpam-6324	331	8	each	each	DET
ejpam-6324	331	9	axiom	axiom	NOUN
ejpam-6324	331	10	.	.	PUNCT
ejpam-6324	332	1	key	key	ADJ
ejpam-6324	332	2	theorems	theorem	NOUN
ejpam-6324	332	3	established	establish	VERB
ejpam-6324	332	4	relationships	relationship	NOUN
ejpam-6324	332	5	between	between	ADP
ejpam-6324	332	6	separation	separation	NOUN
ejpam-6324	332	7	axioms	axiom	NOUN
ejpam-6324	332	8	and	and	CCONJ
ejpam-6324	332	9	properties	property	NOUN
ejpam-6324	332	10	like	like	ADP
ejpam-6324	332	11	closeness	closeness	NOUN
ejpam-6324	332	12	and	and	CCONJ
ejpam-6324	332	13	regularity	regularity	NOUN
ejpam-6324	332	14	.	.	PUNCT
ejpam-6324	333	1	definition	definition	NOUN
ejpam-6324	333	2	26	26	NUM
ejpam-6324	333	3	.	.	PUNCT
ejpam-6324	334	1	let	let	AUX
ejpam-6324	334	2	(	(	PUNCT
ejpam-6324	334	3	x	x	NOUN
ejpam-6324	334	4	,	,	PUNCT
ejpam-6324	334	5	τ	τ	PROPN
ejpam-6324	334	6	,	,	PUNCT
ejpam-6324	334	7	é	é	PROPN
ejpam-6324	334	8	)	)	PUNCT
ejpam-6324	334	9	be	be	VERB
ejpam-6324	334	10	a	a	DET
ejpam-6324	334	11	quadri	quadri	NOUN
ejpam-6324	334	12	-	-	PUNCT
ejpam-6324	334	13	partitioned	partition	VERB
ejpam-6324	334	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	334	15	soft	soft	ADJ
ejpam-6324	334	16	topological	topological	ADJ
ejpam-6324	334	17	space	space	NOUN
ejpam-6324	334	18	over	over	ADP
ejpam-6324	334	19	x	x	PUNCT
ejpam-6324	334	20	and	and	CCONJ
ejpam-6324	334	21	(	(	PUNCT
ejpam-6324	334	22	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	334	23	)	)	PUNCT
ejpam-6324	334	24	)	)	PUNCT
ejpam-6324	335	1	and	and	CCONJ
ejpam-6324	335	2	(	(	PUNCT
ejpam-6324	335	3	yè	yè	PROPN
ejpam-6324	335	4	′	′	NUM
ejpam-6324	335	5	(	(	PUNCT
ejpam-6324	335	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	335	7	)	)	PUNCT
ejpam-6324	335	8	)	)	PUNCT
ejpam-6324	335	9	are	be	AUX
ejpam-6324	335	10	distinct	distinct	ADJ
ejpam-6324	335	11	quadri	quadri	NOUN
ejpam-6324	335	12	-	-	PUNCT
ejpam-6324	335	13	partitioned	partition	VERB
ejpam-6324	335	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	335	15	soft	soft	ADJ
ejpam-6324	335	16	points	point	NOUN
ejpam-6324	335	17	.	.	PUNCT
ejpam-6324	336	1	if	if	SCONJ
ejpam-6324	336	2	there	there	PRON
ejpam-6324	336	3	exist	exist	VERB
ejpam-6324	336	4	quadri	quadri	NOUN
ejpam-6324	336	5	-	-	PUNCT
ejpam-6324	336	6	partitioned	partition	VERB
ejpam-6324	336	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	336	8	soft	soft	ADJ
ejpam-6324	336	9	open	open	ADJ
ejpam-6324	336	10	sets	set	NOUN
ejpam-6324	336	11	(	(	PUNCT
ejpam-6324	336	12	f̃	f̃	PROPN
ejpam-6324	336	13	,	,	PUNCT
ejpam-6324	336	14	é	é	PROPN
ejpam-6324	336	15	)	)	PUNCT
ejpam-6324	336	16	and	and	CCONJ
ejpam-6324	336	17	(	(	PUNCT
ejpam-6324	336	18	g̃	g̃	PROPN
ejpam-6324	336	19	,	,	PUNCT
ejpam-6324	336	20	é	é	PROPN
ejpam-6324	336	21	)	)	PUNCT
ejpam-6324	336	22	,	,	PUNCT
ejpam-6324	336	23	such	such	ADJ
ejpam-6324	336	24	that	that	SCONJ
ejpam-6324	336	25	(	(	PUNCT
ejpam-6324	336	26	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	336	27	)	)	PUNCT
ejpam-6324	336	28	)	)	PUNCT
ejpam-6324	337	1	∈	∈	PROPN
ejpam-6324	337	2	(	(	PUNCT
ejpam-6324	337	3	f̃	f̃	PROPN
ejpam-6324	337	4	,	,	PUNCT
ejpam-6324	337	5	é	é	PROPN
ejpam-6324	337	6	)	)	PUNCT
ejpam-6324	337	7	and	and	CCONJ
ejpam-6324	337	8	(	(	PUNCT
ejpam-6324	337	9	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	337	10	)	)	PUNCT
ejpam-6324	337	11	)	)	PUNCT
ejpam-6324	338	1	∩	∩	NOUN
ejpam-6324	338	2	(	(	PUNCT
ejpam-6324	338	3	g̃	g̃	PROPN
ejpam-6324	338	4	,	,	PUNCT
ejpam-6324	338	5	é	é	PROPN
ejpam-6324	338	6	)	)	PUNCT
ejpam-6324	338	7	=	=	SYM
ejpam-6324	338	8	0(x	0(x	NOUN
ejpam-6324	338	9	,	,	PUNCT
ejpam-6324	338	10	é	é	PROPN
ejpam-6324	338	11	)	)	PUNCT
ejpam-6324	338	12	.	.	PUNCT
ejpam-6324	339	1	or	or	CCONJ
ejpam-6324	339	2	(	(	PUNCT
ejpam-6324	339	3	yè	yè	PROPN
ejpam-6324	339	4	′	′	NUM
ejpam-6324	339	5	(	(	PUNCT
ejpam-6324	339	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	339	7	)	)	PUNCT
ejpam-6324	339	8	)	)	PUNCT
ejpam-6324	340	1	∈	∈	PROPN
ejpam-6324	340	2	(	(	PUNCT
ejpam-6324	340	3	g̃	g̃	PROPN
ejpam-6324	340	4	,	,	PUNCT
ejpam-6324	340	5	é	é	PROPN
ejpam-6324	340	6	)	)	PUNCT
ejpam-6324	340	7	and	and	CCONJ
ejpam-6324	340	8	(	(	PUNCT
ejpam-6324	340	9	yè	yè	PROPN
ejpam-6324	340	10	′	′	NUM
ejpam-6324	340	11	(	(	PUNCT
ejpam-6324	340	12	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	340	13	)	)	PUNCT
ejpam-6324	340	14	)	)	PUNCT
ejpam-6324	340	15	∩	∩	NOUN
ejpam-6324	340	16	(	(	PUNCT
ejpam-6324	340	17	f̃	f̃	PROPN
ejpam-6324	340	18	,	,	PUNCT
ejpam-6324	340	19	é	é	PROPN
ejpam-6324	340	20	)	)	PUNCT
ejpam-6324	340	21	=	=	SYM
ejpam-6324	340	22	0(x	0(x	NOUN
ejpam-6324	340	23	,	,	PUNCT
ejpam-6324	340	24	é	é	PROPN
ejpam-6324	340	25	)	)	PUNCT
ejpam-6324	340	26	.	.	PUNCT
ejpam-6324	341	1	then	then	ADV
ejpam-6324	341	2	(	(	PUNCT
ejpam-6324	341	3	x	x	X
ejpam-6324	341	4	,	,	PUNCT
ejpam-6324	341	5	τ	τ	PROPN
ejpam-6324	341	6	,	,	PUNCT
ejpam-6324	341	7	é	é	PROPN
ejpam-6324	341	8	)	)	PUNCT
ejpam-6324	341	9	is	be	AUX
ejpam-6324	341	10	called	call	VERB
ejpam-6324	341	11	quadri	quadri	NOUN
ejpam-6324	341	12	-	-	PUNCT
ejpam-6324	341	13	partitioned	partition	VERB
ejpam-6324	341	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	341	15	soft	soft	ADJ
ejpam-6324	341	16	t0	t0	PROPN
ejpam-6324	341	17	space	space	NOUN
ejpam-6324	341	18	.	.	PUNCT
ejpam-6324	342	1	definition	definition	NOUN
ejpam-6324	342	2	27	27	NUM
ejpam-6324	342	3	.	.	PUNCT
ejpam-6324	343	1	let	let	VERB
ejpam-6324	343	2	(	(	PUNCT
ejpam-6324	343	3	x	x	NOUN
ejpam-6324	343	4	,	,	PUNCT
ejpam-6324	343	5	τ	τ	PROPN
ejpam-6324	343	6	,	,	PUNCT
ejpam-6324	343	7	é	é	PROPN
ejpam-6324	343	8	)	)	PUNCT
ejpam-6324	343	9	be	be	VERB
ejpam-6324	343	10	a	a	DET
ejpam-6324	343	11	quadri	quadri	NOUN
ejpam-6324	343	12	-	-	PUNCT
ejpam-6324	343	13	partitioned	partition	VERB
ejpam-6324	343	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	343	15	soft	soft	ADJ
ejpam-6324	343	16	topological	topological	ADJ
ejpam-6324	343	17	space	space	NOUN
ejpam-6324	343	18	over	over	ADP
ejpam-6324	343	19	x	x	PUNCT
ejpam-6324	343	20	and	and	CCONJ
ejpam-6324	343	21	(	(	PUNCT
ejpam-6324	343	22	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	343	23	)	)	PUNCT
ejpam-6324	343	24	)	)	PUNCT
ejpam-6324	344	1	and	and	CCONJ
ejpam-6324	344	2	(	(	PUNCT
ejpam-6324	344	3	yè	yè	PROPN
ejpam-6324	344	4	′	′	NUM
ejpam-6324	344	5	(	(	PUNCT
ejpam-6324	344	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	344	7	)	)	PUNCT
ejpam-6324	344	8	)	)	PUNCT
ejpam-6324	344	9	are	be	AUX
ejpam-6324	344	10	distinct	distinct	ADJ
ejpam-6324	344	11	quadri	quadri	NOUN
ejpam-6324	344	12	-	-	PUNCT
ejpam-6324	344	13	partitioned	partition	VERB
ejpam-6324	344	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	344	15	soft	soft	ADJ
ejpam-6324	344	16	points	point	NOUN
ejpam-6324	344	17	.	.	PUNCT
ejpam-6324	345	1	if	if	SCONJ
ejpam-6324	345	2	there	there	PRON
ejpam-6324	345	3	exist	exist	VERB
ejpam-6324	345	4	quadri	quadri	NOUN
ejpam-6324	345	5	-	-	PUNCT
ejpam-6324	345	6	partitioned	partition	VERB
ejpam-6324	345	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	345	8	soft	soft	ADJ
ejpam-6324	345	9	open	open	ADJ
ejpam-6324	345	10	sets	set	NOUN
ejpam-6324	345	11	(	(	PUNCT
ejpam-6324	345	12	f̃	f̃	PROPN
ejpam-6324	345	13	,	,	PUNCT
ejpam-6324	345	14	é	é	PROPN
ejpam-6324	345	15	)	)	PUNCT
ejpam-6324	345	16	and	and	CCONJ
ejpam-6324	345	17	(	(	PUNCT
ejpam-6324	345	18	g̃	g̃	PROPN
ejpam-6324	345	19	,	,	PUNCT
ejpam-6324	345	20	é	é	PROPN
ejpam-6324	345	21	)	)	PUNCT
ejpam-6324	345	22	,	,	PUNCT
ejpam-6324	345	23	such	such	ADJ
ejpam-6324	345	24	that	that	SCONJ
ejpam-6324	345	25	(	(	PUNCT
ejpam-6324	345	26	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	345	27	)	)	PUNCT
ejpam-6324	345	28	)	)	PUNCT
ejpam-6324	346	1	∈	∈	PROPN
ejpam-6324	346	2	(	(	PUNCT
ejpam-6324	346	3	f̃	f̃	PROPN
ejpam-6324	346	4	,	,	PUNCT
ejpam-6324	346	5	é	é	PROPN
ejpam-6324	346	6	)	)	PUNCT
ejpam-6324	346	7	and	and	CCONJ
ejpam-6324	346	8	(	(	PUNCT
ejpam-6324	346	9	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	346	10	)	)	PUNCT
ejpam-6324	346	11	)	)	PUNCT
ejpam-6324	347	1	∩	∩	NOUN
ejpam-6324	347	2	(	(	PUNCT
ejpam-6324	347	3	g̃	g̃	PROPN
ejpam-6324	347	4	,	,	PUNCT
ejpam-6324	347	5	é	é	PROPN
ejpam-6324	347	6	)	)	PUNCT
ejpam-6324	347	7	=	=	SYM
ejpam-6324	347	8	0(x	0(x	NOUN
ejpam-6324	347	9	,	,	PUNCT
ejpam-6324	347	10	é	é	PROPN
ejpam-6324	347	11	)	)	PUNCT
ejpam-6324	347	12	.	.	PUNCT
ejpam-6324	348	1	m.	m.	NOUN
ejpam-6324	348	2	m.	m.	PROPN
ejpam-6324	348	3	saeed	saeed	PROPN
ejpam-6324	348	4	et	et	PROPN
ejpam-6324	348	5	al	al	PROPN
ejpam-6324	348	6	.	.	PUNCT
ejpam-6324	348	7	/	/	SYM
ejpam-6324	348	8	eur	eur	PROPN
ejpam-6324	348	9	.	.	PUNCT
ejpam-6324	349	1	j.	j.	PROPN
ejpam-6324	349	2	pure	pure	PROPN
ejpam-6324	349	3	appl	appl	PROPN
ejpam-6324	349	4	.	.	PROPN
ejpam-6324	349	5	math	math	PROPN
ejpam-6324	349	6	,	,	PUNCT
ejpam-6324	349	7	18	18	NUM
ejpam-6324	349	8	(	(	PUNCT
ejpam-6324	349	9	3	3	NUM
ejpam-6324	349	10	)	)	PUNCT
ejpam-6324	349	11	(	(	PUNCT
ejpam-6324	349	12	2025	2025	NUM
ejpam-6324	349	13	)	)	PUNCT
ejpam-6324	349	14	,	,	PUNCT
ejpam-6324	349	15	6324	6324	NUM
ejpam-6324	349	16	15	15	NUM
ejpam-6324	349	17	of	of	ADP
ejpam-6324	349	18	25	25	NUM
ejpam-6324	349	19	or	or	CCONJ
ejpam-6324	349	20	(	(	PUNCT
ejpam-6324	349	21	yè	yè	PROPN
ejpam-6324	349	22	′	′	NUM
ejpam-6324	349	23	(	(	PUNCT
ejpam-6324	349	24	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	349	25	)	)	PUNCT
ejpam-6324	349	26	)	)	PUNCT
ejpam-6324	350	1	∈	∈	PROPN
ejpam-6324	350	2	(	(	PUNCT
ejpam-6324	350	3	g̃	g̃	PROPN
ejpam-6324	350	4	,	,	PUNCT
ejpam-6324	350	5	é	é	PROPN
ejpam-6324	350	6	)	)	PUNCT
ejpam-6324	350	7	and	and	CCONJ
ejpam-6324	350	8	(	(	PUNCT
ejpam-6324	350	9	yè	yè	PROPN
ejpam-6324	350	10	′	′	NUM
ejpam-6324	350	11	(	(	PUNCT
ejpam-6324	350	12	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	350	13	)	)	PUNCT
ejpam-6324	350	14	)	)	PUNCT
ejpam-6324	350	15	∩	∩	NOUN
ejpam-6324	350	16	(	(	PUNCT
ejpam-6324	350	17	f̃	f̃	PROPN
ejpam-6324	350	18	,	,	PUNCT
ejpam-6324	350	19	é	é	PROPN
ejpam-6324	350	20	)	)	PUNCT
ejpam-6324	350	21	=	=	SYM
ejpam-6324	350	22	0(x	0(x	NOUN
ejpam-6324	350	23	,	,	PUNCT
ejpam-6324	350	24	é	é	PROPN
ejpam-6324	350	25	)	)	PUNCT
ejpam-6324	350	26	.	.	PUNCT
ejpam-6324	351	1	then	then	ADV
ejpam-6324	351	2	(	(	PUNCT
ejpam-6324	351	3	x	x	X
ejpam-6324	351	4	,	,	PUNCT
ejpam-6324	351	5	τ	τ	PROPN
ejpam-6324	351	6	,	,	PUNCT
ejpam-6324	351	7	é	é	PROPN
ejpam-6324	351	8	)	)	PUNCT
ejpam-6324	351	9	is	be	AUX
ejpam-6324	351	10	called	call	VERB
ejpam-6324	351	11	quadri	quadri	NOUN
ejpam-6324	351	12	-	-	PUNCT
ejpam-6324	351	13	partitioned	partition	VERB
ejpam-6324	351	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	351	15	soft	soft	ADJ
ejpam-6324	351	16	t1	t1	NOUN
ejpam-6324	351	17	space	space	NOUN
ejpam-6324	351	18	.	.	PUNCT
ejpam-6324	352	1	definition	definition	NOUN
ejpam-6324	352	2	28	28	NUM
ejpam-6324	352	3	.	.	PUNCT
ejpam-6324	353	1	let	let	VERB
ejpam-6324	353	2	(	(	PUNCT
ejpam-6324	353	3	x	x	NOUN
ejpam-6324	353	4	,	,	PUNCT
ejpam-6324	353	5	τ	τ	PROPN
ejpam-6324	353	6	,	,	PUNCT
ejpam-6324	353	7	é	é	PROPN
ejpam-6324	353	8	)	)	PUNCT
ejpam-6324	353	9	be	be	VERB
ejpam-6324	353	10	a	a	DET
ejpam-6324	353	11	quadri	quadri	NOUN
ejpam-6324	353	12	-	-	PUNCT
ejpam-6324	353	13	partitioned	partition	VERB
ejpam-6324	353	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	353	15	soft	soft	ADJ
ejpam-6324	353	16	topological	topological	ADJ
ejpam-6324	353	17	space	space	NOUN
ejpam-6324	353	18	over	over	ADP
ejpam-6324	353	19	x	x	PUNCT
ejpam-6324	353	20	and	and	CCONJ
ejpam-6324	353	21	(	(	PUNCT
ejpam-6324	353	22	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	353	23	)	)	PUNCT
ejpam-6324	353	24	)	)	PUNCT
ejpam-6324	354	1	and	and	CCONJ
ejpam-6324	354	2	(	(	PUNCT
ejpam-6324	354	3	yè	yè	PROPN
ejpam-6324	354	4	′	′	NUM
ejpam-6324	354	5	(	(	PUNCT
ejpam-6324	354	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	354	7	)	)	PUNCT
ejpam-6324	354	8	)	)	PUNCT
ejpam-6324	354	9	are	be	AUX
ejpam-6324	354	10	distinct	distinct	ADJ
ejpam-6324	354	11	quadri	quadri	NOUN
ejpam-6324	354	12	-	-	PUNCT
ejpam-6324	354	13	partitioned	partition	VERB
ejpam-6324	354	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	354	15	soft	soft	ADJ
ejpam-6324	354	16	points	point	NOUN
ejpam-6324	354	17	.	.	PUNCT
ejpam-6324	355	1	if	if	SCONJ
ejpam-6324	355	2	there	there	PRON
ejpam-6324	355	3	exist	exist	VERB
ejpam-6324	355	4	quadri	quadri	NOUN
ejpam-6324	355	5	-	-	PUNCT
ejpam-6324	355	6	partitioned	partition	VERB
ejpam-6324	355	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	355	8	soft	soft	ADJ
ejpam-6324	355	9	open	open	ADJ
ejpam-6324	355	10	sets	set	NOUN
ejpam-6324	355	11	(	(	PUNCT
ejpam-6324	355	12	f̃	f̃	PROPN
ejpam-6324	355	13	,	,	PUNCT
ejpam-6324	355	14	é	é	PROPN
ejpam-6324	355	15	)	)	PUNCT
ejpam-6324	355	16	and	and	CCONJ
ejpam-6324	355	17	(	(	PUNCT
ejpam-6324	355	18	g̃	g̃	PROPN
ejpam-6324	355	19	,	,	PUNCT
ejpam-6324	355	20	é	é	PROPN
ejpam-6324	355	21	)	)	PUNCT
ejpam-6324	355	22	,	,	PUNCT
ejpam-6324	355	23	such	such	ADJ
ejpam-6324	355	24	that	that	SCONJ
ejpam-6324	355	25	(	(	PUNCT
ejpam-6324	355	26	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	355	27	)	)	PUNCT
ejpam-6324	355	28	)	)	PUNCT
ejpam-6324	356	1	∈	∈	PROPN
ejpam-6324	356	2	(	(	PUNCT
ejpam-6324	356	3	f̃	f̃	PROPN
ejpam-6324	356	4	,	,	PUNCT
ejpam-6324	356	5	é	é	PROPN
ejpam-6324	356	6	)	)	PUNCT
ejpam-6324	356	7	,	,	PUNCT
ejpam-6324	356	8	(	(	PUNCT
ejpam-6324	356	9	yè	yè	PROPN
ejpam-6324	356	10	′	′	NUM
ejpam-6324	356	11	(	(	PUNCT
ejpam-6324	356	12	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	356	13	)	)	PUNCT
ejpam-6324	356	14	)	)	PUNCT
ejpam-6324	357	1	∈	∈	PROPN
ejpam-6324	357	2	(	(	PUNCT
ejpam-6324	357	3	g̃	g̃	PROPN
ejpam-6324	357	4	,	,	PUNCT
ejpam-6324	357	5	é	é	PROPN
ejpam-6324	357	6	)	)	PUNCT
ejpam-6324	357	7	and	and	CCONJ
ejpam-6324	357	8	(	(	PUNCT
ejpam-6324	357	9	f̃	f̃	PROPN
ejpam-6324	357	10	,	,	PUNCT
ejpam-6324	357	11	é	é	PROPN
ejpam-6324	357	12	)	)	PUNCT
ejpam-6324	357	13	∩	∩	NOUN
ejpam-6324	357	14	(	(	PUNCT
ejpam-6324	357	15	g̃	g̃	PROPN
ejpam-6324	357	16	,	,	PUNCT
ejpam-6324	357	17	é	é	PROPN
ejpam-6324	357	18	)	)	PUNCT
ejpam-6324	357	19	=	=	SYM
ejpam-6324	357	20	0(x	0(x	NOUN
ejpam-6324	357	21	,	,	PUNCT
ejpam-6324	357	22	é	é	PROPN
ejpam-6324	357	23	)	)	PUNCT
ejpam-6324	357	24	.	.	PUNCT
ejpam-6324	358	1	then	then	ADV
ejpam-6324	358	2	(	(	PUNCT
ejpam-6324	358	3	x	x	X
ejpam-6324	358	4	,	,	PUNCT
ejpam-6324	358	5	τ	τ	PROPN
ejpam-6324	358	6	,	,	PUNCT
ejpam-6324	358	7	é	é	PROPN
ejpam-6324	358	8	)	)	PUNCT
ejpam-6324	358	9	is	be	AUX
ejpam-6324	358	10	called	call	VERB
ejpam-6324	358	11	quadri	quadri	NOUN
ejpam-6324	358	12	-	-	PUNCT
ejpam-6324	358	13	partitioned	partition	VERB
ejpam-6324	358	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	358	15	soft	soft	ADJ
ejpam-6324	358	16	t1	t1	NOUN
ejpam-6324	358	17	space	space	NOUN
ejpam-6324	358	18	.	.	PUNCT
ejpam-6324	358	19	example	example	NOUN
ejpam-6324	359	1	3	3	X
ejpam-6324	359	2	.	.	PUNCT
ejpam-6324	359	3	let	let	VERB
ejpam-6324	359	4	x	x	PUNCT
ejpam-6324	359	5	=	=	PRON
ejpam-6324	359	6	{	{	PUNCT
ejpam-6324	359	7	x1	x1	PROPN
ejpam-6324	359	8	,	,	PUNCT
ejpam-6324	359	9	x2	x2	PROPN
ejpam-6324	359	10	}	}	PUNCT
ejpam-6324	359	11	be	be	VERB
ejpam-6324	359	12	a	a	DET
ejpam-6324	359	13	universe	universe	NOUN
ejpam-6324	359	14	set	set	NOUN
ejpam-6324	359	15	,	,	PUNCT
ejpam-6324	359	16	é	é	PROPN
ejpam-6324	359	17	=	=	SYM
ejpam-6324	359	18	{	{	PUNCT
ejpam-6324	359	19	è1	è1	VERB
ejpam-6324	359	20	,	,	PUNCT
ejpam-6324	359	21	è2	è2	NOUN
ejpam-6324	359	22	}	}	PUNCT
ejpam-6324	359	23	be	be	VERB
ejpam-6324	359	24	a	a	DET
ejpam-6324	359	25	parameters	parameter	NOUN
ejpam-6324	359	26	set	set	VERB
ejpam-6324	359	27	,	,	PUNCT
ejpam-6324	359	28	and	and	CCONJ
ejpam-6324	359	29	xè11(0.1,0.3,0.1,0.7	xè11(0.1,0.3,0.1,0.7	NUM
ejpam-6324	359	30	)	)	PUNCT
ejpam-6324	359	31	,	,	PUNCT
ejpam-6324	359	32	xè21(0.2,0.3,0.2,0.6	xè21(0.2,0.3,0.2,0.6	NOUN
ejpam-6324	359	33	)	)	PUNCT
ejpam-6324	359	34	,	,	PUNCT
ejpam-6324	359	35	xè12(0.3,0.2,0.1,0.5	xè12(0.3,0.2,0.1,0.5	NOUN
ejpam-6324	359	36	)	)	PUNCT
ejpam-6324	359	37	and	and	CCONJ
ejpam-6324	359	38	xè22(0.4,0.3,0.1,0.4	xè22(0.4,0.3,0.1,0.4	NUM
ejpam-6324	359	39	)	)	PUNCT
ejpam-6324	359	40	be	be	VERB
ejpam-6324	359	41	quadri	quadri	NOUN
ejpam-6324	359	42	-	-	PUNCT
ejpam-6324	359	43	partitioned	partition	VERB
ejpam-6324	359	44	neutrosophic	neutrosophic	ADJ
ejpam-6324	359	45	soft	soft	ADJ
ejpam-6324	359	46	points	point	NOUN
ejpam-6324	359	47	.	.	PUNCT
ejpam-6324	360	1	then	then	ADV
ejpam-6324	360	2	the	the	DET
ejpam-6324	360	3	family	family	NOUN
ejpam-6324	360	4	τ	τ	X
ejpam-6324	360	5	=	=	PUNCT
ejpam-6324	360	6	{	{	PUNCT
ejpam-6324	360	7	0(x	0(x	NOUN
ejpam-6324	360	8	,	,	PUNCT
ejpam-6324	360	9	é	é	PROPN
ejpam-6324	360	10	)	)	PUNCT
ejpam-6324	360	11	,	,	PUNCT
ejpam-6324	360	12	1(x	1(x	NUM
ejpam-6324	360	13	,	,	PUNCT
ejpam-6324	360	14	é	é	PROPN
ejpam-6324	360	15	)	)	PUNCT
ejpam-6324	360	16	,	,	PUNCT
ejpam-6324	360	17	(	(	PUNCT
ejpam-6324	360	18	f̃1	f̃1	PROPN
ejpam-6324	360	19	,	,	PUNCT
ejpam-6324	360	20	é	é	PROPN
ejpam-6324	360	21	)	)	PUNCT
ejpam-6324	360	22	,	,	PUNCT
ejpam-6324	360	23	(	(	PUNCT
ejpam-6324	360	24	f̃2	f̃2	PROPN
ejpam-6324	360	25	,	,	PUNCT
ejpam-6324	360	26	é	é	PROPN
ejpam-6324	360	27	)	)	PUNCT
ejpam-6324	360	28	,	,	PUNCT
ejpam-6324	360	29	(	(	PUNCT
ejpam-6324	360	30	f̃3	f̃3	PROPN
ejpam-6324	360	31	,	,	PUNCT
ejpam-6324	360	32	é	é	PROPN
ejpam-6324	360	33	)	)	PUNCT
ejpam-6324	360	34	,	,	PUNCT
ejpam-6324	360	35	(	(	PUNCT
ejpam-6324	360	36	f̃4	f̃4	NOUN
ejpam-6324	360	37	,	,	PUNCT
ejpam-6324	360	38	é	é	PROPN
ejpam-6324	360	39	)	)	PUNCT
ejpam-6324	360	40	,	,	PUNCT
ejpam-6324	360	41	(	(	PUNCT
ejpam-6324	360	42	f̃5	f̃5	PROPN
ejpam-6324	360	43	,	,	PUNCT
ejpam-6324	360	44	é	é	PROPN
ejpam-6324	360	45	)	)	PUNCT
ejpam-6324	360	46	,	,	PUNCT
ejpam-6324	360	47	(	(	PUNCT
ejpam-6324	360	48	f̃6	f̃6	PROPN
ejpam-6324	360	49	,	,	PUNCT
ejpam-6324	360	50	é	é	PROPN
ejpam-6324	360	51	)	)	PUNCT
ejpam-6324	360	52	,	,	PUNCT
ejpam-6324	360	53	(	(	PUNCT
ejpam-6324	360	54	f̃7	f̃7	NOUN
ejpam-6324	360	55	,	,	PUNCT
ejpam-6324	360	56	é	é	PROPN
ejpam-6324	360	57	)	)	PUNCT
ejpam-6324	360	58	,	,	PUNCT
ejpam-6324	360	59	(	(	PUNCT
ejpam-6324	360	60	f̃8	f̃8	PROPN
ejpam-6324	360	61	,	,	PUNCT
ejpam-6324	360	62	é	é	PROPN
ejpam-6324	360	63	)	)	PUNCT
ejpam-6324	360	64	}	}	PUNCT
ejpam-6324	360	65	,	,	PUNCT
ejpam-6324	360	66	where	where	SCONJ
ejpam-6324	360	67	(	(	PUNCT
ejpam-6324	360	68	f̃1	f̃1	PROPN
ejpam-6324	360	69	,	,	PUNCT
ejpam-6324	360	70	é	é	PROPN
ejpam-6324	360	71	)	)	PUNCT
ejpam-6324	360	72	=	=	PRON
ejpam-6324	360	73	{	{	PUNCT
ejpam-6324	360	74	xè11(0.1,0.3,0.1,0.7	xè11(0.1,0.3,0.1,0.7	NOUN
ejpam-6324	360	75	)	)	PUNCT
ejpam-6324	360	76	}	}	PUNCT
ejpam-6324	360	77	(	(	PUNCT
ejpam-6324	360	78	f̃2	f̃2	PROPN
ejpam-6324	360	79	,	,	PUNCT
ejpam-6324	360	80	é	é	PROPN
ejpam-6324	360	81	)	)	PUNCT
ejpam-6324	360	82	=	=	SYM
ejpam-6324	360	83	{	{	PUNCT
ejpam-6324	360	84	xè21(0.2,0.3,0.2,0.6	xè21(0.2,0.3,0.2,0.6	NOUN
ejpam-6324	360	85	)	)	PUNCT
ejpam-6324	360	86	}	}	PUNCT
ejpam-6324	360	87	(	(	PUNCT
ejpam-6324	360	88	f̃3	f̃3	PROPN
ejpam-6324	360	89	,	,	PUNCT
ejpam-6324	360	90	é	é	PROPN
ejpam-6324	360	91	)	)	PUNCT
ejpam-6324	360	92	=	=	SYM
ejpam-6324	360	93	{	{	PUNCT
ejpam-6324	360	94	xè12(0.3,0.2,0.1,0.5	xè12(0.3,0.2,0.1,0.5	NOUN
ejpam-6324	360	95	)	)	PUNCT
ejpam-6324	360	96	}	}	PUNCT
ejpam-6324	360	97	(	(	PUNCT
ejpam-6324	360	98	f̃4	f̃4	NOUN
ejpam-6324	360	99	,	,	PUNCT
ejpam-6324	360	100	é	é	PROPN
ejpam-6324	360	101	)	)	PUNCT
ejpam-6324	360	102	=	=	SYM
ejpam-6324	360	103	(	(	PUNCT
ejpam-6324	360	104	f̃1	f̃1	PROPN
ejpam-6324	360	105	,	,	PUNCT
ejpam-6324	360	106	é	é	PROPN
ejpam-6324	360	107	)	)	PUNCT
ejpam-6324	360	108	∪	∪	NOUN
ejpam-6324	360	109	(	(	PUNCT
ejpam-6324	360	110	f̃2	f̃2	PROPN
ejpam-6324	360	111	,	,	PUNCT
ejpam-6324	360	112	é	é	PROPN
ejpam-6324	360	113	)	)	PUNCT
ejpam-6324	360	114	(	(	PUNCT
ejpam-6324	360	115	f̃5	f̃5	PROPN
ejpam-6324	360	116	,	,	PUNCT
ejpam-6324	360	117	é	é	PROPN
ejpam-6324	360	118	)	)	PUNCT
ejpam-6324	360	119	=	=	SYM
ejpam-6324	360	120	(	(	PUNCT
ejpam-6324	360	121	f̃1	f̃1	PROPN
ejpam-6324	360	122	,	,	PUNCT
ejpam-6324	360	123	é	é	PROPN
ejpam-6324	360	124	)	)	PUNCT
ejpam-6324	360	125	∪	∪	NOUN
ejpam-6324	360	126	(	(	PUNCT
ejpam-6324	360	127	f̃3	f̃3	PROPN
ejpam-6324	360	128	,	,	PUNCT
ejpam-6324	360	129	é	é	PROPN
ejpam-6324	360	130	)	)	PUNCT
ejpam-6324	360	131	(	(	PUNCT
ejpam-6324	360	132	f̃6	f̃6	PROPN
ejpam-6324	360	133	,	,	PUNCT
ejpam-6324	360	134	é	é	PROPN
ejpam-6324	360	135	)	)	PUNCT
ejpam-6324	360	136	=	=	SYM
ejpam-6324	360	137	(	(	PUNCT
ejpam-6324	360	138	f̃2	f̃2	PROPN
ejpam-6324	360	139	,	,	PUNCT
ejpam-6324	360	140	é	é	PROPN
ejpam-6324	360	141	)	)	PUNCT
ejpam-6324	360	142	∪	∪	NOUN
ejpam-6324	360	143	(	(	PUNCT
ejpam-6324	360	144	f̃3	f̃3	PROPN
ejpam-6324	360	145	,	,	PUNCT
ejpam-6324	360	146	é	é	PROPN
ejpam-6324	360	147	)	)	PUNCT
ejpam-6324	360	148	(	(	PUNCT
ejpam-6324	360	149	f̃7	f̃7	NOUN
ejpam-6324	360	150	,	,	PUNCT
ejpam-6324	360	151	é	é	PROPN
ejpam-6324	360	152	)	)	PUNCT
ejpam-6324	360	153	=	=	SYM
ejpam-6324	360	154	(	(	PUNCT
ejpam-6324	360	155	f̃1	f̃1	PROPN
ejpam-6324	360	156	,	,	PUNCT
ejpam-6324	360	157	é	é	PROPN
ejpam-6324	360	158	)	)	PUNCT
ejpam-6324	360	159	∪	∪	NOUN
ejpam-6324	360	160	(	(	PUNCT
ejpam-6324	360	161	f̃2	f̃2	PROPN
ejpam-6324	360	162	,	,	PUNCT
ejpam-6324	360	163	é	é	PROPN
ejpam-6324	360	164	)	)	PUNCT
ejpam-6324	360	165	∪	∪	NOUN
ejpam-6324	360	166	(	(	PUNCT
ejpam-6324	360	167	f̃3	f̃3	PROPN
ejpam-6324	360	168	,	,	PUNCT
ejpam-6324	360	169	é	é	PROPN
ejpam-6324	360	170	)	)	PUNCT
ejpam-6324	360	171	(	(	PUNCT
ejpam-6324	360	172	f̃8	f̃8	PROPN
ejpam-6324	360	173	,	,	PUNCT
ejpam-6324	360	174	é	é	PROPN
ejpam-6324	360	175	)	)	PUNCT
ejpam-6324	360	176	=	=	SYM
ejpam-6324	360	177	(	(	PUNCT
ejpam-6324	360	178	f̃1	f̃1	PROPN
ejpam-6324	360	179	,	,	PUNCT
ejpam-6324	360	180	é	é	PROPN
ejpam-6324	360	181	)	)	PUNCT
ejpam-6324	360	182	∪	∪	NOUN
ejpam-6324	360	183	(	(	PUNCT
ejpam-6324	360	184	f̃2	f̃2	PROPN
ejpam-6324	360	185	,	,	PUNCT
ejpam-6324	360	186	é	é	PROPN
ejpam-6324	360	187	)	)	PUNCT
ejpam-6324	360	188	∪	∪	NOUN
ejpam-6324	360	189	(	(	PUNCT
ejpam-6324	360	190	f̃3	f̃3	PROPN
ejpam-6324	360	191	,	,	PUNCT
ejpam-6324	360	192	é	é	PROPN
ejpam-6324	360	193	)	)	PUNCT
ejpam-6324	360	194	∪	∪	NOUN
ejpam-6324	360	195	(	(	PUNCT
ejpam-6324	360	196	f̃4	f̃4	NOUN
ejpam-6324	360	197	,	,	PUNCT
ejpam-6324	360	198	é	é	PROPN
ejpam-6324	360	199	)	)	PUNCT
ejpam-6324	360	200	so	so	CCONJ
ejpam-6324	360	201	(	(	PUNCT
ejpam-6324	360	202	f̃8	f̃8	PROPN
ejpam-6324	360	203	,	,	PUNCT
ejpam-6324	360	204	é	é	PROPN
ejpam-6324	360	205	)	)	PUNCT
ejpam-6324	360	206	=	=	PRON
ejpam-6324	360	207	{	{	PUNCT
ejpam-6324	360	208	xè11(0.1,0.3,0.1,0.7	xè11(0.1,0.3,0.1,0.7	NOUN
ejpam-6324	360	209	)	)	PUNCT
ejpam-6324	360	210	,	,	PUNCT
ejpam-6324	360	211	xè21(0.2,0.3,0.2,0.6	xè21(0.2,0.3,0.2,0.6	NOUN
ejpam-6324	360	212	)	)	PUNCT
ejpam-6324	360	213	,	,	PUNCT
ejpam-6324	360	214	xè12(0.3,0.2,0.1,0.5	xè12(0.3,0.2,0.1,0.5	NOUN
ejpam-6324	360	215	)	)	PUNCT
ejpam-6324	360	216	,	,	PUNCT
ejpam-6324	360	217	x	x	X
ejpam-6324	360	218	è2	è2	PRON
ejpam-6324	360	219	2(0.4,0.3,0.1,0.4	2(0.4,0.3,0.1,0.4	NUM
ejpam-6324	360	220	)	)	PUNCT
ejpam-6324	360	221	}	}	PUNCT
ejpam-6324	360	222	m.	m.	NOUN
ejpam-6324	360	223	m.	m.	PROPN
ejpam-6324	360	224	saeed	saeed	PROPN
ejpam-6324	360	225	et	et	PROPN
ejpam-6324	360	226	al	al	PROPN
ejpam-6324	360	227	.	.	PUNCT
ejpam-6324	360	228	/	/	SYM
ejpam-6324	360	229	eur	eur	PROPN
ejpam-6324	360	230	.	.	PUNCT
ejpam-6324	361	1	j.	j.	PROPN
ejpam-6324	361	2	pure	pure	PROPN
ejpam-6324	361	3	appl	appl	PROPN
ejpam-6324	361	4	.	.	PROPN
ejpam-6324	361	5	math	math	PROPN
ejpam-6324	361	6	,	,	PUNCT
ejpam-6324	361	7	18	18	NUM
ejpam-6324	361	8	(	(	PUNCT
ejpam-6324	361	9	3	3	NUM
ejpam-6324	361	10	)	)	PUNCT
ejpam-6324	361	11	(	(	PUNCT
ejpam-6324	361	12	2025	2025	NUM
ejpam-6324	361	13	)	)	PUNCT
ejpam-6324	361	14	,	,	PUNCT
ejpam-6324	361	15	6324	6324	NUM
ejpam-6324	361	16	16	16	NUM
ejpam-6324	361	17	of	of	ADP
ejpam-6324	361	18	25	25	NUM
ejpam-6324	361	19	is	be	AUX
ejpam-6324	361	20	a	a	DET
ejpam-6324	361	21	quadri	quadri	NOUN
ejpam-6324	361	22	-	-	PUNCT
ejpam-6324	361	23	partitioned	partition	VERB
ejpam-6324	361	24	neutrosophic	neutrosophic	ADJ
ejpam-6324	361	25	soft	soft	ADJ
ejpam-6324	361	26	topology	topology	NOUN
ejpam-6324	361	27	over	over	ADP
ejpam-6324	361	28	x.	x.	NOUN
ejpam-6324	361	29	hence	hence	ADV
ejpam-6324	361	30	(	(	PUNCT
ejpam-6324	361	31	x	x	X
ejpam-6324	361	32	,	,	PUNCT
ejpam-6324	361	33	τ	τ	PROPN
ejpam-6324	361	34	,	,	PUNCT
ejpam-6324	361	35	é	é	PROPN
ejpam-6324	361	36	)	)	PUNCT
ejpam-6324	361	37	is	be	AUX
ejpam-6324	361	38	a	a	DET
ejpam-6324	361	39	quadripartitioned	quadripartitione	VERB
ejpam-6324	361	40	neutrosophic	neutrosophic	ADJ
ejpam-6324	361	41	soft	soft	ADJ
ejpam-6324	361	42	topological	topological	ADJ
ejpam-6324	361	43	space	space	NOUN
ejpam-6324	361	44	over	over	ADP
ejpam-6324	361	45	x.	x.	NOUN
ejpam-6324	361	46	also	also	ADV
ejpam-6324	361	47	(	(	PUNCT
ejpam-6324	361	48	x	x	X
ejpam-6324	361	49	,	,	PUNCT
ejpam-6324	361	50	τ	τ	PROPN
ejpam-6324	361	51	,	,	PUNCT
ejpam-6324	361	52	é	é	PROPN
ejpam-6324	361	53	)	)	PUNCT
ejpam-6324	361	54	is	be	AUX
ejpam-6324	361	55	a	a	DET
ejpam-6324	361	56	quadri	quadri	NOUN
ejpam-6324	361	57	-	-	PUNCT
ejpam-6324	361	58	partitioned	partition	VERB
ejpam-6324	361	59	neutrosophic	neutrosophic	ADJ
ejpam-6324	361	60	soft	soft	ADJ
ejpam-6324	361	61	t0	t0	PROPN
ejpam-6324	361	62	space	space	NOUN
ejpam-6324	361	63	but	but	CCONJ
ejpam-6324	361	64	not	not	PART
ejpam-6324	361	65	a	a	DET
ejpam-6324	361	66	quadri	quadri	NOUN
ejpam-6324	361	67	-	-	PUNCT
ejpam-6324	361	68	partitioned	partition	VERB
ejpam-6324	361	69	neutrosophic	neutrosophic	ADJ
ejpam-6324	361	70	soft	soft	ADJ
ejpam-6324	361	71	t1	t1	NOUN
ejpam-6324	361	72	space	space	NOUN
ejpam-6324	361	73	because	because	SCONJ
ejpam-6324	361	74	for	for	ADP
ejpam-6324	361	75	quadri	quadri	NOUN
ejpam-6324	361	76	-	-	PUNCT
ejpam-6324	361	77	partitioned	partition	VERB
ejpam-6324	361	78	neutrosophic	neutrosophic	ADJ
ejpam-6324	361	79	soft	soft	ADJ
ejpam-6324	361	80	points	point	NOUN
ejpam-6324	361	81	xè12(0.1,0.4,0.7	xè12(0.1,0.4,0.7	PROPN
ejpam-6324	361	82	)	)	PUNCT
ejpam-6324	361	83	and	and	CCONJ
ejpam-6324	361	84	xè22(0.4,0.4,0.4	xè22(0.4,0.4,0.4	PROPN
ejpam-6324	361	85	)	)	PUNCT
ejpam-6324	361	86	,	,	PUNCT
ejpam-6324	361	87	(	(	PUNCT
ejpam-6324	361	88	x	x	X
ejpam-6324	361	89	,	,	PUNCT
ejpam-6324	361	90	τ	τ	PROPN
ejpam-6324	361	91	,	,	PUNCT
ejpam-6324	361	92	é	é	PROPN
ejpam-6324	361	93	)	)	PUNCT
ejpam-6324	361	94	is	be	AUX
ejpam-6324	361	95	not	not	PART
ejpam-6324	361	96	a	a	DET
ejpam-6324	361	97	quadri	quadri	NOUN
ejpam-6324	361	98	-	-	PUNCT
ejpam-6324	361	99	partitioned	partition	VERB
ejpam-6324	361	100	neutrosophic	neutrosophic	ADJ
ejpam-6324	361	101	soft	soft	ADJ
ejpam-6324	361	102	t1	t1	NOUN
ejpam-6324	361	103	space	space	NOUN
ejpam-6324	361	104	.	.	PUNCT
ejpam-6324	362	1	example	example	NOUN
ejpam-6324	363	1	4	4	X
ejpam-6324	363	2	.	.	PUNCT
ejpam-6324	363	3	let	let	VERB
ejpam-6324	363	4	x	x	PUNCT
ejpam-6324	363	5	=	=	PRON
ejpam-6324	363	6	n	n	PART
ejpam-6324	363	7	be	be	AUX
ejpam-6324	363	8	a	a	DET
ejpam-6324	363	9	natural	natural	ADJ
ejpam-6324	363	10	number	number	NOUN
ejpam-6324	363	11	set	set	VERB
ejpam-6324	363	12	and	and	CCONJ
ejpam-6324	363	13	é	é	PROPN
ejpam-6324	363	14	=	=	SYM
ejpam-6324	363	15	{	{	PUNCT
ejpam-6324	363	16	è	è	NOUN
ejpam-6324	363	17	}	}	PUNCT
ejpam-6324	363	18	be	be	VERB
ejpam-6324	363	19	a	a	DET
ejpam-6324	363	20	parameter	parameter	NOUN
ejpam-6324	363	21	set	set	NOUN
ejpam-6324	363	22	.	.	PUNCT
ejpam-6324	364	1	here	here	ADV
ejpam-6324	364	2	nè	nè	PROPN
ejpam-6324	364	3	(	(	PUNCT
ejpam-6324	364	4	£	£	SYM
ejpam-6324	364	5	n,∫n	n,∫n	ADJ
ejpam-6324	364	6	,	,	PUNCT
ejpam-6324	364	7	ωn	ωn	NOUN
ejpam-6324	364	8	,	,	PUNCT
ejpam-6324	364	9	κn	κn	NOUN
ejpam-6324	364	10	)	)	PUNCT
ejpam-6324	364	11	are	be	AUX
ejpam-6324	364	12	quadri	quadri	NOUN
ejpam-6324	364	13	-	-	PUNCT
ejpam-6324	364	14	partitioned	partition	VERB
ejpam-6324	364	15	neutrosophic	neutrosophic	ADJ
ejpam-6324	364	16	soft	soft	ADJ
ejpam-6324	364	17	points	point	NOUN
ejpam-6324	364	18	.	.	PUNCT
ejpam-6324	365	1	here	here	ADV
ejpam-6324	365	2	we	we	PRON
ejpam-6324	365	3	can	can	AUX
ejpam-6324	365	4	give	give	VERB
ejpam-6324	365	5	{	{	PUNCT
ejpam-6324	365	6	αn	αn	NOUN
ejpam-6324	365	7	,	,	PUNCT
ejpam-6324	365	8	βn	βn	ADJ
ejpam-6324	365	9	,	,	PUNCT
ejpam-6324	365	10	γn	γn	AUX
ejpam-6324	365	11	}	}	PUNCT
ejpam-6324	365	12	appropriate	appropriate	ADJ
ejpam-6324	365	13	values	value	NOUN
ejpam-6324	365	14	and	and	CCONJ
ejpam-6324	365	15	the	the	DET
ejpam-6324	365	16	quadri	quadri	NOUN
ejpam-6324	365	17	-	-	PUNCT
ejpam-6324	365	18	partitioned	partition	VERB
ejpam-6324	365	19	neutrosophic	neutrosophic	ADJ
ejpam-6324	365	20	soft	soft	ADJ
ejpam-6324	365	21	points	point	NOUN
ejpam-6324	365	22	nè	nè	NOUN
ejpam-6324	365	23	(	(	PUNCT
ejpam-6324	365	24	£	£	SYM
ejpam-6324	365	25	n,∫n	n,∫n	ADJ
ejpam-6324	365	26	,	,	PUNCT
ejpam-6324	365	27	ωn	ωn	NOUN
ejpam-6324	365	28	,	,	PUNCT
ejpam-6324	365	29	κn	κn	NOUN
ejpam-6324	365	30	)	)	PUNCT
ejpam-6324	365	31	and	and	CCONJ
ejpam-6324	365	32	mè	mè	PROPN
ejpam-6324	365	33	(	(	PUNCT
ejpam-6324	365	34	£	£	NOUN
ejpam-6324	365	35	m,∫m	m,∫m	NOUN
ejpam-6324	365	36	,	,	PUNCT
ejpam-6324	365	37	ωm	ωm	NOUN
ejpam-6324	365	38	,	,	PUNCT
ejpam-6324	365	39	κm	κm	PROPN
ejpam-6324	365	40	)	)	PUNCT
ejpam-6324	365	41	are	be	AUX
ejpam-6324	365	42	distinct	distinct	ADJ
ejpam-6324	365	43	quadri	quadri	NOUN
ejpam-6324	365	44	-	-	PUNCT
ejpam-6324	365	45	partitioned	partition	VERB
ejpam-6324	365	46	neutrosophic	neutrosophic	ADJ
ejpam-6324	365	47	soft	soft	ADJ
ejpam-6324	365	48	points	point	NOUN
ejpam-6324	366	1	if	if	SCONJ
ejpam-6324	367	1	and	and	CCONJ
ejpam-6324	367	2	only	only	ADV
ejpam-6324	367	3	if	if	SCONJ
ejpam-6324	367	4	m	m	PROPN
ejpam-6324	367	5	̸=	̸=	PROPN
ejpam-6324	367	6	n.	n.	NOUN
ejpam-6324	367	7	it	it	PRON
ejpam-6324	367	8	is	be	AUX
ejpam-6324	367	9	clear	clear	ADJ
ejpam-6324	367	10	that	that	SCONJ
ejpam-6324	367	11	there	there	PRON
ejpam-6324	367	12	is	be	VERB
ejpam-6324	367	13	one	one	NUM
ejpam-6324	367	14	-	-	PUNCT
ejpam-6324	367	15	to	to	ADP
ejpam-6324	367	16	-	-	PUNCT
ejpam-6324	367	17	one	one	NUM
ejpam-6324	367	18	compatibility	compatibility	NOUN
ejpam-6324	367	19	between	between	ADP
ejpam-6324	367	20	the	the	DET
ejpam-6324	367	21	set	set	NOUN
ejpam-6324	367	22	of	of	ADP
ejpam-6324	367	23	natural	natural	ADJ
ejpam-6324	367	24	numbers	number	NOUN
ejpam-6324	367	25	and	and	CCONJ
ejpam-6324	367	26	the	the	DET
ejpam-6324	367	27	set	set	NOUN
ejpam-6324	367	28	of	of	ADP
ejpam-6324	367	29	quadri	quadri	NOUN
ejpam-6324	367	30	-	-	PUNCT
ejpam-6324	367	31	partitioned	partition	VERB
ejpam-6324	367	32	neutrosophic	neutrosophic	ADJ
ejpam-6324	367	33	soft	soft	ADJ
ejpam-6324	367	34	points	point	NOUN
ejpam-6324	368	1	n	n	X
ejpam-6324	368	2	è	è	PROPN
ejpam-6324	368	3	=	=	PUNCT
ejpam-6324	368	4	{	{	PUNCT
ejpam-6324	368	5	nè	nè	NOUN
ejpam-6324	368	6	(	(	PUNCT
ejpam-6324	368	7	£	£	SYM
ejpam-6324	368	8	n,∫n	n,∫n	ADJ
ejpam-6324	368	9	,	,	PUNCT
ejpam-6324	368	10	ωn	ωn	NOUN
ejpam-6324	368	11	,	,	PUNCT
ejpam-6324	368	12	κn	κn	NOUN
ejpam-6324	368	13	)	)	PUNCT
ejpam-6324	368	14	}	}	PUNCT
ejpam-6324	368	15	.	.	PUNCT
ejpam-6324	369	1	then	then	ADV
ejpam-6324	369	2	we	we	PRON
ejpam-6324	369	3	give	give	VERB
ejpam-6324	369	4	co	co	ADJ
ejpam-6324	369	5	-	-	ADJ
ejpam-6324	369	6	finite	finite	ADJ
ejpam-6324	369	7	topology	topology	NOUN
ejpam-6324	369	8	on	on	ADP
ejpam-6324	369	9	this	this	DET
ejpam-6324	369	10	set	set	NOUN
ejpam-6324	369	11	.	.	PUNCT
ejpam-6324	370	1	then	then	ADV
ejpam-6324	370	2	quadri	quadri	NOUN
ejpam-6324	370	3	-	-	PUNCT
ejpam-6324	370	4	partitioned	partition	VERB
ejpam-6324	370	5	neutrosophic	neutrosophic	ADJ
ejpam-6324	370	6	soft	soft	ADJ
ejpam-6324	370	7	set	set	NOUN
ejpam-6324	370	8	(	(	PUNCT
ejpam-6324	370	9	f̃	f̃	PROPN
ejpam-6324	370	10	,	,	PUNCT
ejpam-6324	370	11	é	é	PROPN
ejpam-6324	370	12	)	)	PUNCT
ejpam-6324	370	13	is	be	AUX
ejpam-6324	370	14	a	a	DET
ejpam-6324	370	15	quadri	quadri	NOUN
ejpam-6324	370	16	-	-	PUNCT
ejpam-6324	370	17	partitioned	partition	VERB
ejpam-6324	370	18	neutrosophic	neutrosophic	ADJ
ejpam-6324	370	19	soft	soft	ADJ
ejpam-6324	370	20	open	open	ADJ
ejpam-6324	370	21	set	set	NOUN
ejpam-6324	370	22	if	if	SCONJ
ejpam-6324	370	23	and	and	CCONJ
ejpam-6324	370	24	only	only	ADV
ejpam-6324	370	25	if	if	SCONJ
ejpam-6324	370	26	the	the	DET
ejpam-6324	370	27	finite	finite	PROPN
ejpam-6324	370	28	quadri	quadri	PROPN
ejpam-6324	370	29	-	-	PUNCT
ejpam-6324	370	30	partitioned	partition	VERB
ejpam-6324	370	31	neutrosophic	neutrosophic	ADJ
ejpam-6324	370	32	soft	soft	ADJ
ejpam-6324	370	33	point	point	NOUN
ejpam-6324	370	34	is	be	AUX
ejpam-6324	370	35	discarded	discard	VERB
ejpam-6324	370	36	from	from	ADP
ejpam-6324	370	37	n	n	PROPN
ejpam-6324	370	38	è.	è.	ADV
ejpam-6324	370	39	hence	hence	ADV
ejpam-6324	370	40	,	,	PUNCT
ejpam-6324	370	41	(	(	PUNCT
ejpam-6324	370	42	x	x	X
ejpam-6324	370	43	,	,	PUNCT
ejpam-6324	370	44	τ	τ	PROPN
ejpam-6324	370	45	,	,	PUNCT
ejpam-6324	370	46	é	é	PROPN
ejpam-6324	370	47	)	)	PUNCT
ejpam-6324	370	48	is	be	AUX
ejpam-6324	370	49	a	a	DET
ejpam-6324	370	50	quadri	quadri	NOUN
ejpam-6324	370	51	-	-	PUNCT
ejpam-6324	370	52	partitioned	partition	VERB
ejpam-6324	370	53	neutrosophic	neutrosophic	ADJ
ejpam-6324	370	54	soft	soft	ADJ
ejpam-6324	370	55	t1	t1	NOUN
ejpam-6324	370	56	−	−	NOUN
ejpam-6324	370	57	space	space	NOUN
ejpam-6324	370	58	but	but	CCONJ
ejpam-6324	370	59	not	not	PART
ejpam-6324	370	60	a	a	DET
ejpam-6324	370	61	neutrosophic	neutrosophic	ADJ
ejpam-6324	370	62	soft	soft	ADJ
ejpam-6324	370	63	t2	t2	NOUN
ejpam-6324	370	64	−	−	PROPN
ejpam-6324	370	65	space	space	NOUN
ejpam-6324	370	66	.	.	PUNCT
ejpam-6324	371	1	example	example	NOUN
ejpam-6324	372	1	5	5	NUM
ejpam-6324	372	2	.	.	PUNCT
ejpam-6324	372	3	let	let	VERB
ejpam-6324	372	4	x	x	PUNCT
ejpam-6324	372	5	=	=	PRON
ejpam-6324	372	6	{	{	PUNCT
ejpam-6324	372	7	x1	x1	PROPN
ejpam-6324	372	8	,	,	PUNCT
ejpam-6324	372	9	x2	x2	PROPN
ejpam-6324	372	10	}	}	PUNCT
ejpam-6324	372	11	be	be	VERB
ejpam-6324	372	12	a	a	DET
ejpam-6324	372	13	universe	universe	NOUN
ejpam-6324	372	14	set	set	NOUN
ejpam-6324	372	15	,	,	PUNCT
ejpam-6324	372	16	é	é	PROPN
ejpam-6324	372	17	=	=	SYM
ejpam-6324	372	18	{	{	PUNCT
ejpam-6324	372	19	è1	è1	VERB
ejpam-6324	372	20	,	,	PUNCT
ejpam-6324	372	21	è2	è2	NOUN
ejpam-6324	372	22	}	}	PUNCT
ejpam-6324	372	23	be	be	VERB
ejpam-6324	372	24	a	a	DET
ejpam-6324	372	25	parameters	parameter	NOUN
ejpam-6324	372	26	set	set	VERB
ejpam-6324	372	27	,	,	PUNCT
ejpam-6324	372	28	and	and	CCONJ
ejpam-6324	372	29	xè11(0.1,0.3,0.1,0.7	xè11(0.1,0.3,0.1,0.7	NUM
ejpam-6324	372	30	)	)	PUNCT
ejpam-6324	372	31	,	,	PUNCT
ejpam-6324	372	32	xè21(0.2,0.3,0.2,0.6	xè21(0.2,0.3,0.2,0.6	NOUN
ejpam-6324	372	33	)	)	PUNCT
ejpam-6324	372	34	,	,	PUNCT
ejpam-6324	372	35	xè12(0.3,0.2,0.1,0.5	xè12(0.3,0.2,0.1,0.5	NOUN
ejpam-6324	372	36	)	)	PUNCT
ejpam-6324	372	37	and	and	CCONJ
ejpam-6324	372	38	xè22(0.4,0.3,0.1,0.4	xè22(0.4,0.3,0.1,0.4	NUM
ejpam-6324	372	39	)	)	PUNCT
ejpam-6324	372	40	be	be	VERB
ejpam-6324	372	41	quadri	quadri	NOUN
ejpam-6324	372	42	-	-	PUNCT
ejpam-6324	372	43	partitioned	partition	VERB
ejpam-6324	372	44	neutrosophic	neutrosophic	ADJ
ejpam-6324	372	45	soft	soft	ADJ
ejpam-6324	372	46	points	point	NOUN
ejpam-6324	372	47	.	.	PUNCT
ejpam-6324	373	1	then	then	ADV
ejpam-6324	373	2	the	the	DET
ejpam-6324	373	3	family	family	NOUN
ejpam-6324	373	4	τ	τ	X
ejpam-6324	373	5	=	=	PUNCT
ejpam-6324	373	6	{	{	PUNCT
ejpam-6324	373	7	0(x	0(x	NOUN
ejpam-6324	373	8	,	,	PUNCT
ejpam-6324	373	9	é	é	PROPN
ejpam-6324	373	10	)	)	PUNCT
ejpam-6324	373	11	,	,	PUNCT
ejpam-6324	373	12	1(x	1(x	NUM
ejpam-6324	373	13	,	,	PUNCT
ejpam-6324	373	14	é	é	PROPN
ejpam-6324	373	15	)	)	PUNCT
ejpam-6324	373	16	,	,	PUNCT
ejpam-6324	373	17	(	(	PUNCT
ejpam-6324	373	18	f̃1	f̃1	PROPN
ejpam-6324	373	19	,	,	PUNCT
ejpam-6324	373	20	é	é	PROPN
ejpam-6324	373	21	)	)	PUNCT
ejpam-6324	373	22	,	,	PUNCT
ejpam-6324	373	23	(	(	PUNCT
ejpam-6324	373	24	f̃2	f̃2	PROPN
ejpam-6324	373	25	,	,	PUNCT
ejpam-6324	373	26	é	é	PROPN
ejpam-6324	373	27	)	)	PUNCT
ejpam-6324	373	28	,	,	PUNCT
ejpam-6324	373	29	(	(	PUNCT
ejpam-6324	373	30	f̃3	f̃3	PROPN
ejpam-6324	373	31	,	,	PUNCT
ejpam-6324	373	32	é	é	PROPN
ejpam-6324	373	33	)	)	PUNCT
ejpam-6324	373	34	,	,	PUNCT
ejpam-6324	373	35	(	(	PUNCT
ejpam-6324	373	36	f̃4	f̃4	NOUN
ejpam-6324	373	37	,	,	PUNCT
ejpam-6324	373	38	é	é	PROPN
ejpam-6324	373	39	)	)	PUNCT
ejpam-6324	373	40	,	,	PUNCT
ejpam-6324	373	41	(	(	PUNCT
ejpam-6324	373	42	f̃5	f̃5	PROPN
ejpam-6324	373	43	,	,	PUNCT
ejpam-6324	373	44	é	é	PROPN
ejpam-6324	373	45	)	)	PUNCT
ejpam-6324	373	46	,	,	PUNCT
ejpam-6324	373	47	(	(	PUNCT
ejpam-6324	373	48	f̃6	f̃6	PROPN
ejpam-6324	373	49	,	,	PUNCT
ejpam-6324	373	50	é	é	PROPN
ejpam-6324	373	51	)	)	PUNCT
ejpam-6324	373	52	,	,	PUNCT
ejpam-6324	373	53	(	(	PUNCT
ejpam-6324	373	54	f̃7	f̃7	NOUN
ejpam-6324	373	55	,	,	PUNCT
ejpam-6324	373	56	é	é	PROPN
ejpam-6324	373	57	)	)	PUNCT
ejpam-6324	373	58	,	,	PUNCT
ejpam-6324	373	59	(	(	PUNCT
ejpam-6324	373	60	f̃8	f̃8	PROPN
ejpam-6324	373	61	,	,	PUNCT
ejpam-6324	373	62	é	é	PROPN
ejpam-6324	373	63	)	)	PUNCT
ejpam-6324	373	64	,	,	PUNCT
ejpam-6324	373	65	(	(	PUNCT
ejpam-6324	373	66	f̃9	f̃9	PROPN
ejpam-6324	373	67	,	,	PUNCT
ejpam-6324	373	68	é	é	PROPN
ejpam-6324	373	69	)	)	PUNCT
ejpam-6324	373	70	,	,	PUNCT
ejpam-6324	373	71	(	(	PUNCT
ejpam-6324	373	72	f̃10	f̃10	NOUN
ejpam-6324	373	73	,	,	PUNCT
ejpam-6324	373	74	é	é	PROPN
ejpam-6324	373	75	)	)	PUNCT
ejpam-6324	373	76	,	,	PUNCT
ejpam-6324	373	77	(	(	PUNCT
ejpam-6324	373	78	f̃11	f̃11	NOUN
ejpam-6324	373	79	,	,	PUNCT
ejpam-6324	373	80	é	é	PROPN
ejpam-6324	373	81	)	)	PUNCT
ejpam-6324	373	82	,	,	PUNCT
ejpam-6324	373	83	(	(	PUNCT
ejpam-6324	373	84	f̃12	f̃12	NOUN
ejpam-6324	373	85	,	,	PUNCT
ejpam-6324	373	86	é	é	PROPN
ejpam-6324	373	87	)	)	PUNCT
ejpam-6324	373	88	,	,	PUNCT
ejpam-6324	373	89	(	(	PUNCT
ejpam-6324	373	90	f̃13	f̃13	ADV
ejpam-6324	373	91	,	,	PUNCT
ejpam-6324	373	92	é	é	PROPN
ejpam-6324	373	93	)	)	PUNCT
ejpam-6324	373	94	,	,	PUNCT
ejpam-6324	373	95	(	(	PUNCT
ejpam-6324	373	96	f̃14	f̃14	X
ejpam-6324	373	97	,	,	PUNCT
ejpam-6324	373	98	é	é	PROPN
ejpam-6324	373	99	)	)	PUNCT
ejpam-6324	373	100	,	,	PUNCT
ejpam-6324	373	101	(	(	PUNCT
ejpam-6324	373	102	f̃15	f̃15	INTJ
ejpam-6324	373	103	,	,	PUNCT
ejpam-6324	373	104	é	é	PROPN
ejpam-6324	373	105	)	)	PUNCT
ejpam-6324	373	106	}	}	PUNCT
ejpam-6324	373	107	,	,	PUNCT
ejpam-6324	373	108	where	where	SCONJ
ejpam-6324	373	109	(	(	PUNCT
ejpam-6324	373	110	f̃1	f̃1	PROPN
ejpam-6324	373	111	,	,	PUNCT
ejpam-6324	373	112	é	é	PROPN
ejpam-6324	373	113	)	)	PUNCT
ejpam-6324	373	114	=	=	PRON
ejpam-6324	373	115	{	{	PUNCT
ejpam-6324	373	116	xè11(0.1,0.3,0.1,0.7	xè11(0.1,0.3,0.1,0.7	NOUN
ejpam-6324	373	117	)	)	PUNCT
ejpam-6324	373	118	}	}	PUNCT
ejpam-6324	373	119	(	(	PUNCT
ejpam-6324	373	120	f̃2	f̃2	PROPN
ejpam-6324	373	121	,	,	PUNCT
ejpam-6324	373	122	é	é	PROPN
ejpam-6324	373	123	)	)	PUNCT
ejpam-6324	373	124	=	=	SYM
ejpam-6324	373	125	{	{	PUNCT
ejpam-6324	373	126	xè21(0.2,0.3,0.2,0.6	xè21(0.2,0.3,0.2,0.6	NOUN
ejpam-6324	373	127	)	)	PUNCT
ejpam-6324	373	128	}	}	PUNCT
ejpam-6324	373	129	(	(	PUNCT
ejpam-6324	373	130	f̃3	f̃3	PROPN
ejpam-6324	373	131	,	,	PUNCT
ejpam-6324	373	132	é	é	PROPN
ejpam-6324	373	133	)	)	PUNCT
ejpam-6324	373	134	=	=	SYM
ejpam-6324	373	135	{	{	PUNCT
ejpam-6324	373	136	xè12(0.3,0.2,0.1,0.5	xè12(0.3,0.2,0.1,0.5	NOUN
ejpam-6324	373	137	)	)	PUNCT
ejpam-6324	373	138	}	}	PUNCT
ejpam-6324	373	139	(	(	PUNCT
ejpam-6324	373	140	f̃4	f̃4	NOUN
ejpam-6324	373	141	,	,	PUNCT
ejpam-6324	373	142	é	é	PROPN
ejpam-6324	373	143	)	)	PUNCT
ejpam-6324	373	144	=	=	PRON
ejpam-6324	373	145	{	{	PUNCT
ejpam-6324	373	146	xè22(0.4,0.3,0.1,0.4	xè22(0.4,0.3,0.1,0.4	PROPN
ejpam-6324	373	147	)	)	PUNCT
ejpam-6324	373	148	}	}	PUNCT
ejpam-6324	373	149	(	(	PUNCT
ejpam-6324	373	150	f̃5	f̃5	PROPN
ejpam-6324	373	151	,	,	PUNCT
ejpam-6324	373	152	é	é	PROPN
ejpam-6324	373	153	)	)	PUNCT
ejpam-6324	373	154	=	=	SYM
ejpam-6324	373	155	(	(	PUNCT
ejpam-6324	373	156	f̃1	f̃1	PROPN
ejpam-6324	373	157	,	,	PUNCT
ejpam-6324	373	158	é	é	PROPN
ejpam-6324	373	159	)	)	PUNCT
ejpam-6324	373	160	∪	∪	NOUN
ejpam-6324	373	161	(	(	PUNCT
ejpam-6324	373	162	f̃2	f̃2	PROPN
ejpam-6324	373	163	,	,	PUNCT
ejpam-6324	373	164	é	é	PROPN
ejpam-6324	373	165	)	)	PUNCT
ejpam-6324	373	166	(	(	PUNCT
ejpam-6324	373	167	f̃6	f̃6	PROPN
ejpam-6324	373	168	,	,	PUNCT
ejpam-6324	373	169	é	é	PROPN
ejpam-6324	373	170	)	)	PUNCT
ejpam-6324	373	171	=	=	SYM
ejpam-6324	373	172	(	(	PUNCT
ejpam-6324	373	173	f̃1	f̃1	PROPN
ejpam-6324	373	174	,	,	PUNCT
ejpam-6324	373	175	é	é	PROPN
ejpam-6324	373	176	)	)	PUNCT
ejpam-6324	373	177	∪	∪	NOUN
ejpam-6324	373	178	(	(	PUNCT
ejpam-6324	373	179	f̃3	f̃3	PROPN
ejpam-6324	373	180	,	,	PUNCT
ejpam-6324	373	181	é	é	PROPN
ejpam-6324	373	182	)	)	PUNCT
ejpam-6324	373	183	(	(	PUNCT
ejpam-6324	373	184	f̃7	f̃7	NOUN
ejpam-6324	373	185	,	,	PUNCT
ejpam-6324	373	186	é	é	PROPN
ejpam-6324	373	187	)	)	PUNCT
ejpam-6324	373	188	=	=	SYM
ejpam-6324	373	189	(	(	PUNCT
ejpam-6324	373	190	f̃1	f̃1	PROPN
ejpam-6324	373	191	,	,	PUNCT
ejpam-6324	373	192	é	é	PROPN
ejpam-6324	373	193	)	)	PUNCT
ejpam-6324	373	194	∪	∪	NOUN
ejpam-6324	373	195	(	(	PUNCT
ejpam-6324	373	196	f̃4	f̃4	NOUN
ejpam-6324	373	197	,	,	PUNCT
ejpam-6324	373	198	é	é	PROPN
ejpam-6324	373	199	)	)	PUNCT
ejpam-6324	373	200	m.	m.	NOUN
ejpam-6324	373	201	m.	m.	PROPN
ejpam-6324	374	1	saeed	saeed	PROPN
ejpam-6324	374	2	et	et	PROPN
ejpam-6324	374	3	al	al	PROPN
ejpam-6324	374	4	.	.	PUNCT
ejpam-6324	374	5	/	/	SYM
ejpam-6324	374	6	eur	eur	PROPN
ejpam-6324	374	7	.	.	PUNCT
ejpam-6324	375	1	j.	j.	PROPN
ejpam-6324	375	2	pure	pure	PROPN
ejpam-6324	375	3	appl	appl	PROPN
ejpam-6324	375	4	.	.	PROPN
ejpam-6324	375	5	math	math	PROPN
ejpam-6324	375	6	,	,	PUNCT
ejpam-6324	375	7	18	18	NUM
ejpam-6324	375	8	(	(	PUNCT
ejpam-6324	375	9	3	3	NUM
ejpam-6324	375	10	)	)	PUNCT
ejpam-6324	375	11	(	(	PUNCT
ejpam-6324	375	12	2025	2025	NUM
ejpam-6324	375	13	)	)	PUNCT
ejpam-6324	375	14	,	,	PUNCT
ejpam-6324	375	15	6324	6324	NUM
ejpam-6324	375	16	17	17	NUM
ejpam-6324	375	17	of	of	ADP
ejpam-6324	375	18	25	25	NUM
ejpam-6324	375	19	(	(	PUNCT
ejpam-6324	375	20	f̃8	f̃8	PROPN
ejpam-6324	375	21	,	,	PUNCT
ejpam-6324	375	22	é	é	PROPN
ejpam-6324	375	23	)	)	PUNCT
ejpam-6324	375	24	=	=	SYM
ejpam-6324	375	25	(	(	PUNCT
ejpam-6324	375	26	f̃2	f̃2	PROPN
ejpam-6324	375	27	,	,	PUNCT
ejpam-6324	375	28	é	é	PROPN
ejpam-6324	375	29	)	)	PUNCT
ejpam-6324	375	30	∪	∪	NOUN
ejpam-6324	375	31	(	(	PUNCT
ejpam-6324	375	32	f̃3	f̃3	PROPN
ejpam-6324	375	33	,	,	PUNCT
ejpam-6324	375	34	é	é	PROPN
ejpam-6324	375	35	)	)	PUNCT
ejpam-6324	375	36	(	(	PUNCT
ejpam-6324	375	37	f̃9	f̃9	PROPN
ejpam-6324	375	38	,	,	PUNCT
ejpam-6324	375	39	é	é	PROPN
ejpam-6324	375	40	)	)	PUNCT
ejpam-6324	375	41	=	=	SYM
ejpam-6324	375	42	(	(	PUNCT
ejpam-6324	375	43	f̃2	f̃2	PROPN
ejpam-6324	375	44	,	,	PUNCT
ejpam-6324	375	45	é	é	PROPN
ejpam-6324	375	46	)	)	PUNCT
ejpam-6324	375	47	∪	∪	NOUN
ejpam-6324	375	48	(	(	PUNCT
ejpam-6324	375	49	f̃4	f̃4	NOUN
ejpam-6324	375	50	,	,	PUNCT
ejpam-6324	375	51	é	é	PROPN
ejpam-6324	375	52	)	)	PUNCT
ejpam-6324	375	53	(	(	PUNCT
ejpam-6324	375	54	f̃10	f̃10	NOUN
ejpam-6324	375	55	,	,	PUNCT
ejpam-6324	375	56	é	é	PROPN
ejpam-6324	375	57	)	)	PUNCT
ejpam-6324	375	58	=	=	SYM
ejpam-6324	375	59	(	(	PUNCT
ejpam-6324	375	60	f̃3	f̃3	PROPN
ejpam-6324	375	61	,	,	PUNCT
ejpam-6324	375	62	é	é	PROPN
ejpam-6324	375	63	)	)	PUNCT
ejpam-6324	375	64	∪	∪	NOUN
ejpam-6324	375	65	(	(	PUNCT
ejpam-6324	375	66	f̃4	f̃4	NOUN
ejpam-6324	375	67	,	,	PUNCT
ejpam-6324	375	68	é	é	PROPN
ejpam-6324	375	69	)	)	PUNCT
ejpam-6324	375	70	(	(	PUNCT
ejpam-6324	375	71	f̃11	f̃11	PROPN
ejpam-6324	375	72	,	,	PUNCT
ejpam-6324	375	73	é	é	PROPN
ejpam-6324	375	74	)	)	PUNCT
ejpam-6324	375	75	=	=	SYM
ejpam-6324	375	76	(	(	PUNCT
ejpam-6324	375	77	f̃1	f̃1	PROPN
ejpam-6324	375	78	,	,	PUNCT
ejpam-6324	375	79	é	é	PROPN
ejpam-6324	375	80	)	)	PUNCT
ejpam-6324	375	81	∪	∪	NOUN
ejpam-6324	375	82	(	(	PUNCT
ejpam-6324	375	83	f̃2	f̃2	PROPN
ejpam-6324	375	84	,	,	PUNCT
ejpam-6324	375	85	é	é	PROPN
ejpam-6324	375	86	)	)	PUNCT
ejpam-6324	375	87	∪	∪	NOUN
ejpam-6324	375	88	(	(	PUNCT
ejpam-6324	375	89	f̃3	f̃3	PROPN
ejpam-6324	375	90	,	,	PUNCT
ejpam-6324	375	91	é	é	PROPN
ejpam-6324	375	92	)	)	PUNCT
ejpam-6324	375	93	(	(	PUNCT
ejpam-6324	375	94	f̃12	f̃12	NOUN
ejpam-6324	375	95	,	,	PUNCT
ejpam-6324	375	96	é	é	PROPN
ejpam-6324	375	97	)	)	PUNCT
ejpam-6324	375	98	=	=	SYM
ejpam-6324	375	99	(	(	PUNCT
ejpam-6324	375	100	f̃1	f̃1	PROPN
ejpam-6324	375	101	,	,	PUNCT
ejpam-6324	375	102	é	é	PROPN
ejpam-6324	375	103	)	)	PUNCT
ejpam-6324	375	104	∪	∪	NOUN
ejpam-6324	375	105	(	(	PUNCT
ejpam-6324	375	106	f̃2	f̃2	PROPN
ejpam-6324	375	107	,	,	PUNCT
ejpam-6324	375	108	é	é	PROPN
ejpam-6324	375	109	)	)	PUNCT
ejpam-6324	375	110	∪	∪	NOUN
ejpam-6324	375	111	(	(	PUNCT
ejpam-6324	375	112	f̃4	f̃4	NOUN
ejpam-6324	375	113	,	,	PUNCT
ejpam-6324	375	114	é	é	PROPN
ejpam-6324	375	115	)	)	PUNCT
ejpam-6324	375	116	(	(	PUNCT
ejpam-6324	375	117	f̃13	f̃13	ADV
ejpam-6324	375	118	,	,	PUNCT
ejpam-6324	375	119	é	é	PROPN
ejpam-6324	375	120	)	)	PUNCT
ejpam-6324	375	121	=	=	SYM
ejpam-6324	375	122	(	(	PUNCT
ejpam-6324	375	123	f̃2	f̃2	PROPN
ejpam-6324	375	124	,	,	PUNCT
ejpam-6324	375	125	é	é	PROPN
ejpam-6324	375	126	)	)	PUNCT
ejpam-6324	375	127	∪	∪	NOUN
ejpam-6324	375	128	(	(	PUNCT
ejpam-6324	375	129	f̃3	f̃3	PROPN
ejpam-6324	375	130	,	,	PUNCT
ejpam-6324	375	131	é	é	PROPN
ejpam-6324	375	132	)	)	PUNCT
ejpam-6324	375	133	∪	∪	NOUN
ejpam-6324	375	134	(	(	PUNCT
ejpam-6324	375	135	f̃4	f̃4	NOUN
ejpam-6324	375	136	,	,	PUNCT
ejpam-6324	375	137	é	é	PROPN
ejpam-6324	375	138	)	)	PUNCT
ejpam-6324	375	139	(	(	PUNCT
ejpam-6324	375	140	f̃14	f̃14	PROPN
ejpam-6324	375	141	,	,	PUNCT
ejpam-6324	375	142	é	é	PROPN
ejpam-6324	375	143	)	)	PUNCT
ejpam-6324	375	144	=	=	SYM
ejpam-6324	375	145	(	(	PUNCT
ejpam-6324	375	146	f̃1	f̃1	PROPN
ejpam-6324	375	147	,	,	PUNCT
ejpam-6324	375	148	é	é	PROPN
ejpam-6324	375	149	)	)	PUNCT
ejpam-6324	375	150	∪	∪	NOUN
ejpam-6324	375	151	(	(	PUNCT
ejpam-6324	375	152	f̃3	f̃3	PROPN
ejpam-6324	375	153	,	,	PUNCT
ejpam-6324	375	154	é	é	PROPN
ejpam-6324	375	155	)	)	PUNCT
ejpam-6324	375	156	∪	∪	NOUN
ejpam-6324	375	157	(	(	PUNCT
ejpam-6324	375	158	f̃4	f̃4	NOUN
ejpam-6324	375	159	,	,	PUNCT
ejpam-6324	375	160	é	é	PROPN
ejpam-6324	375	161	)	)	PUNCT
ejpam-6324	375	162	so	so	CCONJ
ejpam-6324	375	163	(	(	PUNCT
ejpam-6324	375	164	f̃15	f̃15	ADJ
ejpam-6324	375	165	,	,	PUNCT
ejpam-6324	375	166	é	é	PROPN
ejpam-6324	375	167	)	)	PUNCT
ejpam-6324	375	168	=	=	PRON
ejpam-6324	375	169	{	{	PUNCT
ejpam-6324	375	170	xè11(0.1,0.3,0.1,0.7	xè11(0.1,0.3,0.1,0.7	NOUN
ejpam-6324	375	171	)	)	PUNCT
ejpam-6324	375	172	,	,	PUNCT
ejpam-6324	375	173	xè21(0.2,0.3,0.2,0.6	xè21(0.2,0.3,0.2,0.6	NOUN
ejpam-6324	375	174	)	)	PUNCT
ejpam-6324	375	175	,	,	PUNCT
ejpam-6324	375	176	xè12(0.3,0.2,0.1,0.5	xè12(0.3,0.2,0.1,0.5	NOUN
ejpam-6324	375	177	)	)	PUNCT
ejpam-6324	375	178	,	,	PUNCT
ejpam-6324	375	179	x	x	X
ejpam-6324	375	180	è2	è2	PRON
ejpam-6324	375	181	2(0.4,0.3,0.1,0.4	2(0.4,0.3,0.1,0.4	NUM
ejpam-6324	375	182	)	)	PUNCT
ejpam-6324	375	183	}	}	PUNCT
ejpam-6324	375	184	is	be	AUX
ejpam-6324	375	185	a	a	DET
ejpam-6324	375	186	quadri	quadri	NOUN
ejpam-6324	375	187	-	-	PUNCT
ejpam-6324	375	188	partitioned	partition	VERB
ejpam-6324	375	189	neutrosophic	neutrosophic	ADJ
ejpam-6324	375	190	soft	soft	ADJ
ejpam-6324	375	191	topology	topology	NOUN
ejpam-6324	375	192	over	over	ADP
ejpam-6324	375	193	x.	x.	NOUN
ejpam-6324	375	194	hence	hence	ADV
ejpam-6324	375	195	(	(	PUNCT
ejpam-6324	375	196	x	x	X
ejpam-6324	375	197	,	,	PUNCT
ejpam-6324	375	198	τ	τ	PROPN
ejpam-6324	375	199	,	,	PUNCT
ejpam-6324	375	200	é	é	PROPN
ejpam-6324	375	201	)	)	PUNCT
ejpam-6324	375	202	is	be	AUX
ejpam-6324	375	203	a	a	DET
ejpam-6324	375	204	quadripartitioned	quadripartitione	VERB
ejpam-6324	375	205	neutrosophic	neutrosophic	ADJ
ejpam-6324	375	206	soft	soft	ADJ
ejpam-6324	375	207	topological	topological	ADJ
ejpam-6324	375	208	space	space	NOUN
ejpam-6324	375	209	over	over	ADP
ejpam-6324	375	210	x.	x.	NOUN
ejpam-6324	375	211	also	also	ADV
ejpam-6324	375	212	(	(	PUNCT
ejpam-6324	375	213	x	x	X
ejpam-6324	375	214	,	,	PUNCT
ejpam-6324	375	215	τ	τ	PROPN
ejpam-6324	375	216	,	,	PUNCT
ejpam-6324	375	217	é	é	PROPN
ejpam-6324	375	218	)	)	PUNCT
ejpam-6324	375	219	is	be	AUX
ejpam-6324	375	220	a	a	DET
ejpam-6324	375	221	quadri	quadri	NOUN
ejpam-6324	375	222	-	-	PUNCT
ejpam-6324	375	223	partitioned	partition	VERB
ejpam-6324	375	224	neutrosophic	neutrosophic	ADJ
ejpam-6324	375	225	soft	soft	ADJ
ejpam-6324	375	226	t2	t2	NOUN
ejpam-6324	375	227	space	space	NOUN
ejpam-6324	375	228	.	.	PUNCT
ejpam-6324	376	1	theorem	theorem	NOUN
ejpam-6324	376	2	3	3	X
ejpam-6324	376	3	.	.	PUNCT
ejpam-6324	377	1	let	let	VERB
ejpam-6324	377	2	(	(	PUNCT
ejpam-6324	377	3	x	x	NOUN
ejpam-6324	377	4	,	,	PUNCT
ejpam-6324	377	5	τ	τ	PROPN
ejpam-6324	377	6	,	,	PUNCT
ejpam-6324	377	7	é	é	PROPN
ejpam-6324	377	8	)	)	PUNCT
ejpam-6324	377	9	is	be	AUX
ejpam-6324	377	10	a	a	DET
ejpam-6324	377	11	quadri	quadri	NOUN
ejpam-6324	377	12	-	-	PUNCT
ejpam-6324	377	13	partitioned	partition	VERB
ejpam-6324	377	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	377	15	soft	soft	ADJ
ejpam-6324	377	16	topological	topological	ADJ
ejpam-6324	377	17	space	space	NOUN
ejpam-6324	377	18	over	over	ADP
ejpam-6324	377	19	x.	x.	NOUN
ejpam-6324	377	20	then	then	ADV
ejpam-6324	377	21	(	(	PUNCT
ejpam-6324	377	22	x	x	X
ejpam-6324	377	23	,	,	PUNCT
ejpam-6324	377	24	τ	τ	PROPN
ejpam-6324	377	25	,	,	PUNCT
ejpam-6324	377	26	é	é	PROPN
ejpam-6324	377	27	)	)	PUNCT
ejpam-6324	377	28	is	be	AUX
ejpam-6324	377	29	a	a	DET
ejpam-6324	377	30	quadri	quadri	NOUN
ejpam-6324	377	31	-	-	PUNCT
ejpam-6324	377	32	partitioned	partition	VERB
ejpam-6324	377	33	neutrosophic	neutrosophic	ADJ
ejpam-6324	377	34	soft	soft	ADJ
ejpam-6324	377	35	t2	t2	NOUN
ejpam-6324	377	36	space	space	NOUN
ejpam-6324	377	37	if	if	SCONJ
ejpam-6324	377	38	and	and	CCONJ
ejpam-6324	377	39	only	only	ADV
ejpam-6324	377	40	if	if	SCONJ
ejpam-6324	377	41	each	each	DET
ejpam-6324	377	42	quadri	quadri	NOUN
ejpam-6324	377	43	-	-	PUNCT
ejpam-6324	377	44	partitioned	partition	VERB
ejpam-6324	377	45	neutrosophic	neutrosophic	ADJ
ejpam-6324	377	46	soft	soft	ADJ
ejpam-6324	377	47	point	point	NOUN
ejpam-6324	377	48	is	be	AUX
ejpam-6324	377	49	a	a	DET
ejpam-6324	377	50	quadri	quadri	NOUN
ejpam-6324	377	51	-	-	PUNCT
ejpam-6324	377	52	partitioned	partition	VERB
ejpam-6324	377	53	neutrosophic	neutrosophic	ADJ
ejpam-6324	377	54	soft	soft	ADJ
ejpam-6324	377	55	closed	closed	ADJ
ejpam-6324	377	56	set	set	NOUN
ejpam-6324	377	57	.	.	PUNCT
ejpam-6324	378	1	proof	proof	NOUN
ejpam-6324	378	2	.	.	PUNCT
ejpam-6324	379	1	let	let	VERB
ejpam-6324	379	2	(	(	PUNCT
ejpam-6324	379	3	x	x	NOUN
ejpam-6324	379	4	,	,	PUNCT
ejpam-6324	379	5	τ	τ	PROPN
ejpam-6324	379	6	,	,	PUNCT
ejpam-6324	379	7	é	é	PROPN
ejpam-6324	379	8	)	)	PUNCT
ejpam-6324	379	9	is	be	AUX
ejpam-6324	379	10	a	a	DET
ejpam-6324	379	11	quadri	quadri	NOUN
ejpam-6324	379	12	-	-	PUNCT
ejpam-6324	379	13	partitioned	partition	VERB
ejpam-6324	379	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	379	15	soft	soft	ADJ
ejpam-6324	379	16	t1	t1	NOUN
ejpam-6324	379	17	space	space	NOUN
ejpam-6324	379	18	and	and	CCONJ
ejpam-6324	379	19	(	(	PUNCT
ejpam-6324	379	20	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	379	21	)	)	PUNCT
ejpam-6324	379	22	)	)	PUNCT
ejpam-6324	380	1	be	be	AUX
ejpam-6324	380	2	an	an	DET
ejpam-6324	380	3	arbitrary	arbitrary	ADJ
ejpam-6324	380	4	quadri	quadri	NOUN
ejpam-6324	380	5	-	-	PUNCT
ejpam-6324	380	6	partitioned	partition	VERB
ejpam-6324	380	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	380	8	soft	soft	ADJ
ejpam-6324	380	9	point	point	NOUN
ejpam-6324	380	10	.	.	PUNCT
ejpam-6324	381	1	we	we	PRON
ejpam-6324	381	2	show	show	VERB
ejpam-6324	381	3	that	that	SCONJ
ejpam-6324	381	4	(	(	PUNCT
ejpam-6324	381	5	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	381	6	)	)	PUNCT
ejpam-6324	381	7	)	)	PUNCT
ejpam-6324	382	1	c	c	NOUN
ejpam-6324	382	2	is	be	AUX
ejpam-6324	382	3	a	a	DET
ejpam-6324	382	4	quadri	quadri	NOUN
ejpam-6324	382	5	-	-	PUNCT
ejpam-6324	382	6	partitioned	partition	VERB
ejpam-6324	382	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	382	8	soft	soft	ADJ
ejpam-6324	382	9	open	open	ADJ
ejpam-6324	382	10	set	set	NOUN
ejpam-6324	382	11	.	.	PUNCT
ejpam-6324	383	1	let	let	VERB
ejpam-6324	383	2	(	(	PUNCT
ejpam-6324	383	3	yè	yè	PROPN
ejpam-6324	383	4	′	′	NUM
ejpam-6324	383	5	(	(	PUNCT
ejpam-6324	383	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	383	7	)	)	PUNCT
ejpam-6324	383	8	)	)	PUNCT
ejpam-6324	384	1	∈	∈	PROPN
ejpam-6324	384	2	(	(	PUNCT
ejpam-6324	384	3	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	384	4	)	)	PUNCT
ejpam-6324	384	5	)	)	PUNCT
ejpam-6324	385	1	c	c	X
ejpam-6324	385	2	;	;	PUNCT
ejpam-6324	385	3	then	then	ADV
ejpam-6324	385	4	(	(	PUNCT
ejpam-6324	385	5	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	385	6	)	)	PUNCT
ejpam-6324	385	7	)	)	PUNCT
ejpam-6324	386	1	and	and	CCONJ
ejpam-6324	386	2	(	(	PUNCT
ejpam-6324	386	3	yè	yè	PROPN
ejpam-6324	386	4	′	′	NUM
ejpam-6324	386	5	(	(	PUNCT
ejpam-6324	386	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	386	7	)	)	PUNCT
ejpam-6324	386	8	)	)	PUNCT
ejpam-6324	386	9	are	be	AUX
ejpam-6324	386	10	distinct	distinct	ADJ
ejpam-6324	386	11	quadri	quadri	NOUN
ejpam-6324	386	12	-	-	PUNCT
ejpam-6324	386	13	partitioned	partition	VERB
ejpam-6324	386	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	386	15	soft	soft	ADJ
ejpam-6324	386	16	points	point	NOUN
ejpam-6324	386	17	.	.	PUNCT
ejpam-6324	387	1	hence	hence	ADV
ejpam-6324	387	2	,	,	PUNCT
ejpam-6324	387	3	x	x	PROPN
ejpam-6324	387	4	̸=	̸=	PROPN
ejpam-6324	387	5	y	y	PROPN
ejpam-6324	387	6	or	or	CCONJ
ejpam-6324	387	7	è	è	PROPN
ejpam-6324	387	8	̸=	̸=	PROPN
ejpam-6324	387	9	è′.	è′.	PROPN
ejpam-6324	387	10	since	since	SCONJ
ejpam-6324	387	11	(	(	PUNCT
ejpam-6324	387	12	x	x	NOUN
ejpam-6324	387	13	,	,	PUNCT
ejpam-6324	387	14	τ	τ	PROPN
ejpam-6324	387	15	,	,	PUNCT
ejpam-6324	387	16	é	é	PROPN
ejpam-6324	387	17	)	)	PUNCT
ejpam-6324	387	18	is	be	AUX
ejpam-6324	387	19	a	a	DET
ejpam-6324	387	20	quadri	quadri	NOUN
ejpam-6324	387	21	-	-	PUNCT
ejpam-6324	387	22	partitioned	partition	VERB
ejpam-6324	387	23	neutrosophic	neutrosophic	ADJ
ejpam-6324	387	24	soft	soft	ADJ
ejpam-6324	387	25	t1	t1	NOUN
ejpam-6324	387	26	space	space	NOUN
ejpam-6324	387	27	there	there	PRON
ejpam-6324	387	28	exist	exist	VERB
ejpam-6324	387	29	a	a	DET
ejpam-6324	387	30	quadri	quadri	NOUN
ejpam-6324	387	31	-	-	PUNCT
ejpam-6324	387	32	partitioned	partition	VERB
ejpam-6324	387	33	neutrosophic	neutrosophic	ADJ
ejpam-6324	387	34	soft	soft	ADJ
ejpam-6324	387	35	open	open	ADJ
ejpam-6324	387	36	set	set	NOUN
ejpam-6324	387	37	(	(	PUNCT
ejpam-6324	387	38	g̃	g̃	PROPN
ejpam-6324	387	39	,	,	PUNCT
ejpam-6324	387	40	é	é	PROPN
ejpam-6324	387	41	)	)	PUNCT
ejpam-6324	387	42	,	,	PUNCT
ejpam-6324	387	43	such	such	ADJ
ejpam-6324	387	44	that	that	SCONJ
ejpam-6324	387	45	(	(	PUNCT
ejpam-6324	387	46	yè	yè	PROPN
ejpam-6324	387	47	′	′	NUM
ejpam-6324	387	48	(	(	PUNCT
ejpam-6324	387	49	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	387	50	)	)	PUNCT
ejpam-6324	387	51	)	)	PUNCT
ejpam-6324	388	1	∈	∈	PROPN
ejpam-6324	388	2	(	(	PUNCT
ejpam-6324	388	3	g̃	g̃	PROPN
ejpam-6324	388	4	,	,	PUNCT
ejpam-6324	388	5	é	é	PROPN
ejpam-6324	388	6	)	)	PUNCT
ejpam-6324	388	7	and	and	CCONJ
ejpam-6324	388	8	(	(	PUNCT
ejpam-6324	388	9	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	388	10	)	)	PUNCT
ejpam-6324	388	11	)	)	PUNCT
ejpam-6324	389	1	∩	∩	NOUN
ejpam-6324	389	2	(	(	PUNCT
ejpam-6324	389	3	g̃	g̃	PROPN
ejpam-6324	389	4	,	,	PUNCT
ejpam-6324	389	5	é	é	PROPN
ejpam-6324	389	6	)	)	PUNCT
ejpam-6324	389	7	=	=	SYM
ejpam-6324	389	8	0(x	0(x	NOUN
ejpam-6324	389	9	,	,	PUNCT
ejpam-6324	389	10	é	é	PROPN
ejpam-6324	389	11	)	)	PUNCT
ejpam-6324	389	12	.	.	PUNCT
ejpam-6324	390	1	then	then	ADV
ejpam-6324	390	2	,	,	PUNCT
ejpam-6324	390	3	since	since	SCONJ
ejpam-6324	390	4	(	(	PUNCT
ejpam-6324	390	5	xè(p1,p2,p3,p4))∩(g̃	xè(p1,p2,p3,p4))∩(g̃	PROPN
ejpam-6324	390	6	,	,	PUNCT
ejpam-6324	390	7	é	é	PROPN
ejpam-6324	390	8	)	)	PUNCT
ejpam-6324	390	9	=	=	SYM
ejpam-6324	390	10	0(x	0(x	NOUN
ejpam-6324	390	11	,	,	PUNCT
ejpam-6324	390	12	é	é	PROPN
ejpam-6324	390	13	)	)	PUNCT
ejpam-6324	390	14	,	,	PUNCT
ejpam-6324	390	15	we	we	PRON
ejpam-6324	390	16	have(y	have(y	VERB
ejpam-6324	390	17	è′	è′	PROPN
ejpam-6324	390	18	(	(	PUNCT
ejpam-6324	390	19	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	390	20	)	)	PUNCT
ejpam-6324	390	21	)	)	PUNCT
ejpam-6324	391	1	∈	∈	PROPN
ejpam-6324	391	2	(	(	PUNCT
ejpam-6324	391	3	g̃	g̃	PROPN
ejpam-6324	391	4	,	,	PUNCT
ejpam-6324	391	5	é	é	PROPN
ejpam-6324	391	6	)	)	PUNCT
ejpam-6324	391	7	⊂	⊂	PROPN
ejpam-6324	391	8	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	391	9	)	)	PUNCT
ejpam-6324	391	10	)	)	PUNCT
ejpam-6324	392	1	c.	c.	NOUN
ejpam-6324	392	2	this	this	PRON
ejpam-6324	392	3	implies	imply	VERB
ejpam-6324	392	4	that	that	SCONJ
ejpam-6324	392	5	(	(	PUNCT
ejpam-6324	392	6	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	392	7	)	)	PUNCT
ejpam-6324	392	8	)	)	PUNCT
ejpam-6324	393	1	c	c	NOUN
ejpam-6324	393	2	is	be	AUX
ejpam-6324	393	3	a	a	DET
ejpam-6324	393	4	quadri	quadri	NOUN
ejpam-6324	393	5	-	-	PUNCT
ejpam-6324	393	6	partitioned	partition	VERB
ejpam-6324	393	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	393	8	soft	soft	ADJ
ejpam-6324	393	9	open	open	ADJ
ejpam-6324	393	10	set	set	NOUN
ejpam-6324	393	11	,	,	PUNCT
ejpam-6324	393	12	such	such	ADJ
ejpam-6324	393	13	that	that	SCONJ
ejpam-6324	393	14	(	(	PUNCT
ejpam-6324	393	15	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	393	16	)	)	PUNCT
ejpam-6324	393	17	)	)	PUNCT
ejpam-6324	393	18	is	be	AUX
ejpam-6324	393	19	a	a	DET
ejpam-6324	393	20	quadri	quadri	NOUN
ejpam-6324	393	21	-	-	PUNCT
ejpam-6324	393	22	partitioned	partition	VERB
ejpam-6324	393	23	neutrosophic	neutrosophic	ADJ
ejpam-6324	393	24	soft	soft	ADJ
ejpam-6324	393	25	closed	closed	ADJ
ejpam-6324	393	26	set	set	NOUN
ejpam-6324	393	27	.	.	PUNCT
ejpam-6324	394	1	suppose	suppose	VERB
ejpam-6324	394	2	that	that	SCONJ
ejpam-6324	394	3	each	each	DET
ejpam-6324	394	4	m.	m.	NOUN
ejpam-6324	394	5	m.	m.	PROPN
ejpam-6324	394	6	saeed	saeed	PROPN
ejpam-6324	394	7	et	et	PROPN
ejpam-6324	394	8	al	al	PROPN
ejpam-6324	394	9	.	.	PUNCT
ejpam-6324	394	10	/	/	SYM
ejpam-6324	394	11	eur	eur	PROPN
ejpam-6324	394	12	.	.	PUNCT
ejpam-6324	395	1	j.	j.	PROPN
ejpam-6324	395	2	pure	pure	PROPN
ejpam-6324	395	3	appl	appl	PROPN
ejpam-6324	395	4	.	.	PROPN
ejpam-6324	395	5	math	math	PROPN
ejpam-6324	395	6	,	,	PUNCT
ejpam-6324	395	7	18	18	NUM
ejpam-6324	395	8	(	(	PUNCT
ejpam-6324	395	9	3	3	NUM
ejpam-6324	395	10	)	)	PUNCT
ejpam-6324	395	11	(	(	PUNCT
ejpam-6324	395	12	2025	2025	NUM
ejpam-6324	395	13	)	)	PUNCT
ejpam-6324	395	14	,	,	PUNCT
ejpam-6324	395	15	6324	6324	NUM
ejpam-6324	395	16	18	18	NUM
ejpam-6324	395	17	of	of	ADP
ejpam-6324	395	18	25	25	NUM
ejpam-6324	395	19	quadri	quadri	NOUN
ejpam-6324	395	20	-	-	PUNCT
ejpam-6324	395	21	partitioned	partition	VERB
ejpam-6324	395	22	neutrosophic	neutrosophic	ADJ
ejpam-6324	395	23	soft	soft	ADJ
ejpam-6324	395	24	point	point	NOUN
ejpam-6324	395	25	(	(	PUNCT
ejpam-6324	395	26	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	395	27	)	)	PUNCT
ejpam-6324	395	28	)	)	PUNCT
ejpam-6324	395	29	is	be	AUX
ejpam-6324	395	30	a	a	DET
ejpam-6324	395	31	quadri	quadri	NOUN
ejpam-6324	395	32	-	-	PUNCT
ejpam-6324	395	33	partitioned	partition	VERB
ejpam-6324	395	34	neutrosophic	neutrosophic	ADJ
ejpam-6324	395	35	soft	soft	ADJ
ejpam-6324	395	36	closed	closed	ADJ
ejpam-6324	395	37	set	set	NOUN
ejpam-6324	395	38	.	.	PUNCT
ejpam-6324	396	1	then	then	ADV
ejpam-6324	396	2	,	,	PUNCT
ejpam-6324	396	3	(	(	PUNCT
ejpam-6324	396	4	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	396	5	)	)	PUNCT
ejpam-6324	396	6	)	)	PUNCT
ejpam-6324	397	1	c	c	NOUN
ejpam-6324	397	2	is	be	AUX
ejpam-6324	397	3	a	a	DET
ejpam-6324	397	4	quadri	quadri	NOUN
ejpam-6324	397	5	-	-	PUNCT
ejpam-6324	397	6	partitioned	partition	VERB
ejpam-6324	397	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	397	8	soft	soft	ADJ
ejpam-6324	397	9	open	open	ADJ
ejpam-6324	397	10	set	set	NOUN
ejpam-6324	397	11	.	.	PUNCT
ejpam-6324	398	1	let	let	VERB
ejpam-6324	398	2	(	(	PUNCT
ejpam-6324	398	3	xè(p1,p2,p3,p4))∩	xè(p1,p2,p3,p4))∩	X
ejpam-6324	398	4	(	(	PUNCT
ejpam-6324	398	5	yè	yè	PROPN
ejpam-6324	398	6	′	′	NUM
ejpam-6324	398	7	(	(	PUNCT
ejpam-6324	398	8	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	398	9	)	)	PUNCT
ejpam-6324	398	10	)	)	PUNCT
ejpam-6324	399	1	=	=	PUNCT
ejpam-6324	399	2	0(x	0(x	NOUN
ejpam-6324	399	3	,	,	PUNCT
ejpam-6324	399	4	é	é	PROPN
ejpam-6324	399	5	)	)	PUNCT
ejpam-6324	399	6	.	.	PUNCT
ejpam-6324	400	1	thus	thus	ADV
ejpam-6324	400	2	(	(	PUNCT
ejpam-6324	400	3	y	y	PROPN
ejpam-6324	400	4	è′	è′	PROPN
ejpam-6324	400	5	(	(	PUNCT
ejpam-6324	400	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	400	7	)	)	PUNCT
ejpam-6324	400	8	)	)	PUNCT
ejpam-6324	401	1	∈	∈	PROPN
ejpam-6324	401	2	(	(	PUNCT
ejpam-6324	401	3	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	401	4	)	)	PUNCT
ejpam-6324	401	5	)	)	PUNCT
ejpam-6324	401	6	and	and	CCONJ
ejpam-6324	401	7	(	(	PUNCT
ejpam-6324	401	8	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	401	9	)	)	PUNCT
ejpam-6324	401	10	)	)	PUNCT
ejpam-6324	401	11	∩	∩	PROPN
ejpam-6324	401	12	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	401	13	)	)	PUNCT
ejpam-6324	401	14	)	)	PUNCT
ejpam-6324	402	1	c	c	X
ejpam-6324	402	2	=	=	PUNCT
ejpam-6324	402	3	0(x	0(x	NOUN
ejpam-6324	402	4	,	,	PUNCT
ejpam-6324	402	5	é	é	PROPN
ejpam-6324	402	6	)	)	PUNCT
ejpam-6324	402	7	.	.	PUNCT
ejpam-6324	403	1	therefore	therefore	ADV
ejpam-6324	403	2	,	,	PUNCT
ejpam-6324	403	3	(	(	PUNCT
ejpam-6324	403	4	x	x	X
ejpam-6324	403	5	,	,	PUNCT
ejpam-6324	403	6	τ	τ	PROPN
ejpam-6324	403	7	,	,	PUNCT
ejpam-6324	403	8	é	é	PROPN
ejpam-6324	403	9	)	)	PUNCT
ejpam-6324	403	10	is	be	AUX
ejpam-6324	403	11	a	a	DET
ejpam-6324	403	12	quadri	quadri	NOUN
ejpam-6324	403	13	-	-	PUNCT
ejpam-6324	403	14	partitioned	partition	VERB
ejpam-6324	403	15	neutrosophic	neutrosophic	ADJ
ejpam-6324	403	16	soft	soft	ADJ
ejpam-6324	403	17	t1	t1	NOUN
ejpam-6324	403	18	−	−	NOUN
ejpam-6324	403	19	space	space	NOUN
ejpam-6324	403	20	theorem	theorem	VERB
ejpam-6324	403	21	4	4	NUM
ejpam-6324	403	22	.	.	PUNCT
ejpam-6324	404	1	let	let	VERB
ejpam-6324	404	2	(	(	PUNCT
ejpam-6324	404	3	x	x	NOUN
ejpam-6324	404	4	,	,	PUNCT
ejpam-6324	404	5	τ	τ	PROPN
ejpam-6324	404	6	,	,	PUNCT
ejpam-6324	404	7	é	é	PROPN
ejpam-6324	404	8	)	)	PUNCT
ejpam-6324	404	9	is	be	AUX
ejpam-6324	404	10	a	a	DET
ejpam-6324	404	11	quadri	quadri	NOUN
ejpam-6324	404	12	-	-	PUNCT
ejpam-6324	404	13	partitioned	partition	VERB
ejpam-6324	404	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	404	15	soft	soft	ADJ
ejpam-6324	404	16	topological	topological	ADJ
ejpam-6324	404	17	space	space	NOUN
ejpam-6324	404	18	over	over	ADP
ejpam-6324	404	19	x.	x.	NOUN
ejpam-6324	404	20	then	then	ADV
ejpam-6324	404	21	(	(	PUNCT
ejpam-6324	404	22	x	x	X
ejpam-6324	404	23	,	,	PUNCT
ejpam-6324	404	24	τ	τ	PROPN
ejpam-6324	404	25	,	,	PUNCT
ejpam-6324	404	26	é	é	PROPN
ejpam-6324	404	27	)	)	PUNCT
ejpam-6324	404	28	is	be	AUX
ejpam-6324	404	29	a	a	DET
ejpam-6324	404	30	quadri	quadri	NOUN
ejpam-6324	404	31	-	-	PUNCT
ejpam-6324	404	32	partitioned	partition	VERB
ejpam-6324	404	33	neutrosophic	neutrosophic	ADJ
ejpam-6324	404	34	soft	soft	ADJ
ejpam-6324	404	35	t2	t2	NOUN
ejpam-6324	404	36	−	−	NOUN
ejpam-6324	404	37	space	space	NOUN
ejpam-6324	404	38	if	if	SCONJ
ejpam-6324	404	39	and	and	CCONJ
ejpam-6324	404	40	only	only	ADV
ejpam-6324	404	41	if	if	SCONJ
ejpam-6324	404	42	for	for	ADP
ejpam-6324	404	43	distinct	distinct	ADJ
ejpam-6324	404	44	quadri	quadri	NOUN
ejpam-6324	404	45	-	-	PUNCT
ejpam-6324	404	46	partitioned	partition	VERB
ejpam-6324	404	47	neutrosophic	neutrosophic	ADJ
ejpam-6324	404	48	soft	soft	ADJ
ejpam-6324	404	49	points	point	NOUN
ejpam-6324	404	50	(	(	PUNCT
ejpam-6324	404	51	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	404	52	)	)	PUNCT
ejpam-6324	404	53	)	)	PUNCT
ejpam-6324	405	1	and	and	CCONJ
ejpam-6324	405	2	(	(	PUNCT
ejpam-6324	405	3	yè	yè	PROPN
ejpam-6324	405	4	′	′	NUM
ejpam-6324	405	5	(	(	PUNCT
ejpam-6324	405	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	405	7	)	)	PUNCT
ejpam-6324	405	8	)	)	PUNCT
ejpam-6324	405	9	,	,	PUNCT
ejpam-6324	405	10	there	there	PRON
ejpam-6324	405	11	exist	exist	VERB
ejpam-6324	405	12	a	a	DET
ejpam-6324	405	13	quadri	quadri	NOUN
ejpam-6324	405	14	-	-	PUNCT
ejpam-6324	405	15	partitioned	partition	VERB
ejpam-6324	405	16	neutrosophic	neutrosophic	ADJ
ejpam-6324	405	17	soft	soft	ADJ
ejpam-6324	405	18	open	open	ADJ
ejpam-6324	405	19	set	set	NOUN
ejpam-6324	405	20	(	(	PUNCT
ejpam-6324	405	21	f̃	f̃	PROPN
ejpam-6324	405	22	,	,	PUNCT
ejpam-6324	405	23	é	é	PROPN
ejpam-6324	405	24	)	)	PUNCT
ejpam-6324	405	25	containing	contain	VERB
ejpam-6324	405	26	(	(	PUNCT
ejpam-6324	405	27	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	405	28	)	)	PUNCT
ejpam-6324	405	29	)	)	PUNCT
ejpam-6324	405	30	but	but	CCONJ
ejpam-6324	405	31	not	not	PART
ejpam-6324	405	32	(	(	PUNCT
ejpam-6324	405	33	yè	yè	PROPN
ejpam-6324	405	34	′	′	NUM
ejpam-6324	405	35	(	(	PUNCT
ejpam-6324	405	36	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	405	37	)	)	PUNCT
ejpam-6324	405	38	)	)	PUNCT
ejpam-6324	405	39	such	such	ADJ
ejpam-6324	405	40	that	that	SCONJ
ejpam-6324	405	41	(	(	PUNCT
ejpam-6324	405	42	yè	yè	PROPN
ejpam-6324	405	43	′	′	NUM
ejpam-6324	405	44	(	(	PUNCT
ejpam-6324	405	45	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	405	46	)	)	PUNCT
ejpam-6324	405	47	)	)	PUNCT
ejpam-6324	405	48	/∈	/∈	PUNCT
ejpam-6324	406	1	(	(	PUNCT
ejpam-6324	406	2	f̃	f̃	PROPN
ejpam-6324	406	3	,	,	PUNCT
ejpam-6324	406	4	é	é	PROPN
ejpam-6324	406	5	)	)	PUNCT
ejpam-6324	406	6	.	.	PUNCT
ejpam-6324	407	1	proof	proof	NOUN
ejpam-6324	407	2	.	.	PUNCT
ejpam-6324	408	1	let	let	VERB
ejpam-6324	408	2	(	(	PUNCT
ejpam-6324	408	3	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	408	4	)	)	PUNCT
ejpam-6324	408	5	)	)	PUNCT
ejpam-6324	409	1	and	and	CCONJ
ejpam-6324	409	2	(	(	PUNCT
ejpam-6324	409	3	yè	yè	PROPN
ejpam-6324	409	4	′	′	NUM
ejpam-6324	409	5	(	(	PUNCT
ejpam-6324	409	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	409	7	)	)	PUNCT
ejpam-6324	409	8	)	)	PUNCT
ejpam-6324	409	9	be	be	AUX
ejpam-6324	409	10	two	two	NUM
ejpam-6324	409	11	quadri	quadri	NOUN
ejpam-6324	409	12	-	-	PUNCT
ejpam-6324	409	13	partitioned	partition	VERB
ejpam-6324	409	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	409	15	soft	soft	ADJ
ejpam-6324	409	16	points	point	NOUN
ejpam-6324	409	17	in	in	ADP
ejpam-6324	409	18	quadripartitioned	quadripartitione	VERB
ejpam-6324	409	19	neutrosophic	neutrosophic	ADJ
ejpam-6324	409	20	soft	soft	ADJ
ejpam-6324	409	21	t2	t2	NOUN
ejpam-6324	409	22	−	−	NOUN
ejpam-6324	409	23	space	space	NOUN
ejpam-6324	409	24	,	,	PUNCT
ejpam-6324	409	25	(	(	PUNCT
ejpam-6324	409	26	x	x	X
ejpam-6324	409	27	,	,	PUNCT
ejpam-6324	409	28	τ	τ	PROPN
ejpam-6324	409	29	,	,	PUNCT
ejpam-6324	409	30	é	é	PROPN
ejpam-6324	409	31	)	)	PUNCT
ejpam-6324	409	32	.	.	PUNCT
ejpam-6324	410	1	then	then	ADV
ejpam-6324	410	2	there	there	PRON
ejpam-6324	410	3	exist	exist	VERB
ejpam-6324	410	4	disjoint	disjoint	X
ejpam-6324	410	5	quadri	quadri	NOUN
ejpam-6324	410	6	-	-	PUNCT
ejpam-6324	410	7	partitioned	partition	VERB
ejpam-6324	410	8	neutrosophic	neutrosophic	ADJ
ejpam-6324	410	9	soft	soft	ADJ
ejpam-6324	410	10	open	open	ADJ
ejpam-6324	410	11	sets	set	NOUN
ejpam-6324	410	12	(	(	PUNCT
ejpam-6324	410	13	f̃	f̃	PROPN
ejpam-6324	410	14	,	,	PUNCT
ejpam-6324	410	15	é	é	PROPN
ejpam-6324	410	16	)	)	PUNCT
ejpam-6324	410	17	,	,	PUNCT
ejpam-6324	410	18	(	(	PUNCT
ejpam-6324	410	19	g̃	g̃	PROPN
ejpam-6324	410	20	,	,	PUNCT
ejpam-6324	410	21	é	é	PROPN
ejpam-6324	410	22	)	)	PUNCT
ejpam-6324	410	23	such	such	ADJ
ejpam-6324	410	24	that	that	SCONJ
ejpam-6324	410	25	(	(	PUNCT
ejpam-6324	410	26	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	410	27	)	)	PUNCT
ejpam-6324	410	28	)	)	PUNCT
ejpam-6324	411	1	∈	∈	PROPN
ejpam-6324	411	2	(	(	PUNCT
ejpam-6324	411	3	f̃	f̃	PROPN
ejpam-6324	411	4	,	,	PUNCT
ejpam-6324	411	5	é	é	PROPN
ejpam-6324	411	6	)	)	PUNCT
ejpam-6324	411	7	and	and	CCONJ
ejpam-6324	411	8	(	(	PUNCT
ejpam-6324	411	9	yè	yè	PROPN
ejpam-6324	411	10	′	′	NUM
ejpam-6324	411	11	(	(	PUNCT
ejpam-6324	411	12	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	411	13	)	)	PUNCT
ejpam-6324	411	14	)	)	PUNCT
ejpam-6324	412	1	∈	∈	PROPN
ejpam-6324	412	2	(	(	PUNCT
ejpam-6324	412	3	g̃	g̃	PROPN
ejpam-6324	412	4	,	,	PUNCT
ejpam-6324	412	5	é	é	PROPN
ejpam-6324	412	6	)	)	PUNCT
ejpam-6324	412	7	.	.	PUNCT
ejpam-6324	413	1	since	since	SCONJ
ejpam-6324	413	2	(	(	PUNCT
ejpam-6324	413	3	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	413	4	)	)	PUNCT
ejpam-6324	413	5	)	)	PUNCT
ejpam-6324	413	6	∩	∩	NOUN
ejpam-6324	413	7	(	(	PUNCT
ejpam-6324	413	8	yè	yè	PROPN
ejpam-6324	413	9	′	′	NUM
ejpam-6324	413	10	(	(	PUNCT
ejpam-6324	413	11	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	413	12	)	)	PUNCT
ejpam-6324	413	13	)	)	PUNCT
ejpam-6324	414	1	=	=	PUNCT
ejpam-6324	414	2	0(x	0(x	NOUN
ejpam-6324	414	3	,	,	PUNCT
ejpam-6324	414	4	é	é	PROPN
ejpam-6324	414	5	)	)	PUNCT
ejpam-6324	414	6	and	and	CCONJ
ejpam-6324	414	7	(	(	PUNCT
ejpam-6324	414	8	f̃	f̃	PROPN
ejpam-6324	414	9	,	,	PUNCT
ejpam-6324	414	10	é	é	PROPN
ejpam-6324	414	11	)	)	PUNCT
ejpam-6324	414	12	∩	∩	NOUN
ejpam-6324	414	13	(	(	PUNCT
ejpam-6324	414	14	g̃	g̃	PROPN
ejpam-6324	414	15	,	,	PUNCT
ejpam-6324	414	16	é	é	PROPN
ejpam-6324	414	17	)	)	PUNCT
ejpam-6324	414	18	=	=	SYM
ejpam-6324	414	19	0(x	0(x	NOUN
ejpam-6324	414	20	,	,	PUNCT
ejpam-6324	414	21	é	é	PROPN
ejpam-6324	414	22	)	)	PUNCT
ejpam-6324	414	23	,	,	PUNCT
ejpam-6324	414	24	(	(	PUNCT
ejpam-6324	414	25	yè	yè	PROPN
ejpam-6324	414	26	′	′	NUM
ejpam-6324	414	27	(	(	PUNCT
ejpam-6324	414	28	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	414	29	)	)	PUNCT
ejpam-6324	414	30	)	)	PUNCT
ejpam-6324	414	31	/∈	/∈	PUNCT
ejpam-6324	415	1	(	(	PUNCT
ejpam-6324	415	2	f̃	f̃	PROPN
ejpam-6324	415	3	,	,	PUNCT
ejpam-6324	415	4	é	é	PROPN
ejpam-6324	415	5	)	)	PUNCT
ejpam-6324	415	6	.	.	PUNCT
ejpam-6324	416	1	it	it	PRON
ejpam-6324	416	2	implies	imply	VERB
ejpam-6324	416	3	that	that	SCONJ
ejpam-6324	416	4	(	(	PUNCT
ejpam-6324	416	5	yè	yè	PROPN
ejpam-6324	416	6	′	′	NUM
ejpam-6324	416	7	(	(	PUNCT
ejpam-6324	416	8	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	416	9	)	)	PUNCT
ejpam-6324	416	10	)	)	PUNCT
ejpam-6324	416	11	/∈	/∈	PUNCT
ejpam-6324	417	1	(	(	PUNCT
ejpam-6324	417	2	f̃	f̃	PROPN
ejpam-6324	417	3	,	,	PUNCT
ejpam-6324	417	4	é	é	PROPN
ejpam-6324	417	5	)	)	PUNCT
ejpam-6324	417	6	.	.	PUNCT
ejpam-6324	418	1	next	next	ADV
ejpam-6324	418	2	suppose	suppose	VERB
ejpam-6324	418	3	that	that	SCONJ
ejpam-6324	418	4	,	,	PUNCT
ejpam-6324	418	5	for	for	ADP
ejpam-6324	418	6	distinct	distinct	ADJ
ejpam-6324	418	7	quadri	quadri	PROPN
ejpam-6324	418	8	-	-	PUNCT
ejpam-6324	418	9	partitioned	partition	VERB
ejpam-6324	418	10	neutrosophic	neutrosophic	ADJ
ejpam-6324	418	11	soft	soft	ADJ
ejpam-6324	418	12	points	point	NOUN
ejpam-6324	418	13	(	(	PUNCT
ejpam-6324	418	14	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	418	15	)	)	PUNCT
ejpam-6324	418	16	)	)	PUNCT
ejpam-6324	419	1	and	and	CCONJ
ejpam-6324	419	2	(	(	PUNCT
ejpam-6324	419	3	yè	yè	PROPN
ejpam-6324	419	4	′	′	NUM
ejpam-6324	419	5	(	(	PUNCT
ejpam-6324	419	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	419	7	)	)	PUNCT
ejpam-6324	419	8	)	)	PUNCT
ejpam-6324	419	9	there	there	PRON
ejpam-6324	419	10	exists	exist	VERB
ejpam-6324	419	11	a	a	DET
ejpam-6324	419	12	quadri	quadri	NOUN
ejpam-6324	419	13	-	-	PUNCT
ejpam-6324	419	14	partitioned	partition	VERB
ejpam-6324	419	15	neutrosophic	neutrosophic	ADJ
ejpam-6324	419	16	soft	soft	ADJ
ejpam-6324	419	17	open	open	ADJ
ejpam-6324	419	18	set	set	NOUN
ejpam-6324	419	19	(	(	PUNCT
ejpam-6324	419	20	f̃	f̃	PROPN
ejpam-6324	419	21	,	,	PUNCT
ejpam-6324	419	22	é	é	PROPN
ejpam-6324	419	23	)	)	PUNCT
ejpam-6324	419	24	containing	contain	VERB
ejpam-6324	419	25	(	(	PUNCT
ejpam-6324	419	26	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	419	27	)	)	PUNCT
ejpam-6324	419	28	)	)	PUNCT
ejpam-6324	419	29	but	but	CCONJ
ejpam-6324	419	30	not	not	PART
ejpam-6324	419	31	(	(	PUNCT
ejpam-6324	419	32	yè	yè	PROPN
ejpam-6324	419	33	′	′	NUM
ejpam-6324	419	34	(	(	PUNCT
ejpam-6324	419	35	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	419	36	)	)	PUNCT
ejpam-6324	419	37	)	)	PUNCT
ejpam-6324	419	38	such	such	ADJ
ejpam-6324	419	39	that	that	SCONJ
ejpam-6324	419	40	(	(	PUNCT
ejpam-6324	419	41	yè	yè	PROPN
ejpam-6324	419	42	′	′	NUM
ejpam-6324	419	43	(	(	PUNCT
ejpam-6324	419	44	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	419	45	)	)	PUNCT
ejpam-6324	419	46	)	)	PUNCT
ejpam-6324	419	47	/∈	/∈	PUNCT
ejpam-6324	420	1	(	(	PUNCT
ejpam-6324	420	2	f̃	f̃	PROPN
ejpam-6324	420	3	,	,	PUNCT
ejpam-6324	420	4	é	é	PROPN
ejpam-6324	420	5	)	)	PUNCT
ejpam-6324	420	6	.	.	PUNCT
ejpam-6324	421	1	then	then	ADV
ejpam-6324	421	2	(	(	PUNCT
ejpam-6324	421	3	yè	yè	PROPN
ejpam-6324	421	4	′	′	NUM
ejpam-6324	421	5	(	(	PUNCT
ejpam-6324	421	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	421	7	)	)	PUNCT
ejpam-6324	421	8	)	)	PUNCT
ejpam-6324	421	9	∈	∈	PROPN
ejpam-6324	421	10	(	(	PUNCT
ejpam-6324	421	11	(	(	PUNCT
ejpam-6324	421	12	f̃	f̃	PROPN
ejpam-6324	421	13	,	,	PUNCT
ejpam-6324	421	14	é))c	é))c	PROPN
ejpam-6324	421	15	,	,	PUNCT
ejpam-6324	421	16	such	such	ADJ
ejpam-6324	421	17	that	that	SCONJ
ejpam-6324	421	18	(	(	PUNCT
ejpam-6324	421	19	f̃	f̃	PROPN
ejpam-6324	421	20	,	,	PUNCT
ejpam-6324	421	21	é	é	PROPN
ejpam-6324	421	22	)	)	PUNCT
ejpam-6324	421	23	and	and	CCONJ
ejpam-6324	421	24	(	(	PUNCT
ejpam-6324	421	25	(	(	PUNCT
ejpam-6324	421	26	f̃	f̃	PROPN
ejpam-6324	421	27	,	,	PUNCT
ejpam-6324	421	28	é))c	é))c	PROPN
ejpam-6324	421	29	are	be	AUX
ejpam-6324	421	30	disjoint	disjoint	X
ejpam-6324	421	31	quadri	quadri	NOUN
ejpam-6324	421	32	-	-	PUNCT
ejpam-6324	421	33	partitioned	partition	VERB
ejpam-6324	421	34	neutrosophic	neutrosophic	ADJ
ejpam-6324	421	35	soft	soft	ADJ
ejpam-6324	421	36	open	open	ADJ
ejpam-6324	421	37	sets	set	NOUN
ejpam-6324	421	38	containing	contain	VERB
ejpam-6324	421	39	(	(	PUNCT
ejpam-6324	421	40	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	421	41	)	)	PUNCT
ejpam-6324	421	42	)	)	PUNCT
ejpam-6324	422	1	and	and	CCONJ
ejpam-6324	422	2	(	(	PUNCT
ejpam-6324	422	3	yè	yè	PROPN
ejpam-6324	422	4	′	′	NUM
ejpam-6324	422	5	(	(	PUNCT
ejpam-6324	422	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	422	7	)	)	PUNCT
ejpam-6324	422	8	)	)	PUNCT
ejpam-6324	422	9	respectively	respectively	ADV
ejpam-6324	422	10	.	.	PUNCT
ejpam-6324	423	1	theorem	theorem	VERB
ejpam-6324	423	2	5	5	NUM
ejpam-6324	423	3	.	.	PUNCT
ejpam-6324	424	1	let	let	AUX
ejpam-6324	424	2	(	(	PUNCT
ejpam-6324	424	3	x	x	NOUN
ejpam-6324	424	4	,	,	PUNCT
ejpam-6324	424	5	τ	τ	PROPN
ejpam-6324	424	6	,	,	PUNCT
ejpam-6324	424	7	é	é	PROPN
ejpam-6324	424	8	)	)	PUNCT
ejpam-6324	424	9	be	be	VERB
ejpam-6324	424	10	a	a	DET
ejpam-6324	424	11	quadri	quadri	NOUN
ejpam-6324	424	12	-	-	PUNCT
ejpam-6324	424	13	partitioned	partition	VERB
ejpam-6324	424	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	424	15	soft	soft	ADJ
ejpam-6324	424	16	t1−space	t1−space	NOUN
ejpam-6324	424	17	for	for	ADP
ejpam-6324	424	18	every	every	DET
ejpam-6324	424	19	quadri	quadri	NOUN
ejpam-6324	424	20	-	-	PUNCT
ejpam-6324	424	21	partitioned	partition	VERB
ejpam-6324	424	22	neutrosophic	neutrosophic	ADJ
ejpam-6324	424	23	soft	soft	ADJ
ejpam-6324	424	24	point	point	NOUN
ejpam-6324	424	25	(	(	PUNCT
ejpam-6324	424	26	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	424	27	)	)	PUNCT
ejpam-6324	424	28	)	)	PUNCT
ejpam-6324	425	1	∈	∈	PROPN
ejpam-6324	425	2	(	(	PUNCT
ejpam-6324	425	3	f̃	f̃	PROPN
ejpam-6324	425	4	,	,	PUNCT
ejpam-6324	425	5	é	é	PROPN
ejpam-6324	425	6	)	)	PUNCT
ejpam-6324	425	7	∈	∈	PROPN
ejpam-6324	425	8	τ	τ	X
ejpam-6324	425	9	.	.	PUNCT
ejpam-6324	426	1	if	if	SCONJ
ejpam-6324	426	2	there	there	PRON
ejpam-6324	426	3	exist	exist	VERB
ejpam-6324	426	4	a	a	DET
ejpam-6324	426	5	quadri	quadri	NOUN
ejpam-6324	426	6	-	-	PUNCT
ejpam-6324	426	7	partitioned	partition	VERB
ejpam-6324	426	8	neutrosophic	neutrosophic	ADJ
ejpam-6324	426	9	soft	soft	ADJ
ejpam-6324	426	10	open	open	ADJ
ejpam-6324	426	11	set	set	NOUN
ejpam-6324	426	12	(	(	PUNCT
ejpam-6324	426	13	f̃	f̃	PROPN
ejpam-6324	426	14	,	,	PUNCT
ejpam-6324	426	15	é	é	PROPN
ejpam-6324	426	16	)	)	PUNCT
ejpam-6324	426	17	such	such	ADJ
ejpam-6324	426	18	that	that	SCONJ
ejpam-6324	426	19	(	(	PUNCT
ejpam-6324	426	20	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	426	21	)	)	PUNCT
ejpam-6324	426	22	)	)	PUNCT
ejpam-6324	427	1	∈	∈	PROPN
ejpam-6324	427	2	(	(	PUNCT
ejpam-6324	427	3	g̃	g̃	PROPN
ejpam-6324	427	4	,	,	PUNCT
ejpam-6324	427	5	é	é	PROPN
ejpam-6324	427	6	)	)	PUNCT
ejpam-6324	427	7	⊂	⊂	PROPN
ejpam-6324	427	8	(	(	PUNCT
ejpam-6324	427	9	g̃	g̃	PROPN
ejpam-6324	427	10	,	,	PUNCT
ejpam-6324	427	11	é	é	PROPN
ejpam-6324	427	12	)	)	PUNCT
ejpam-6324	427	13	⊂	⊂	PROPN
ejpam-6324	427	14	(	(	PUNCT
ejpam-6324	427	15	f̃	f̃	PROPN
ejpam-6324	427	16	,	,	PUNCT
ejpam-6324	427	17	é	é	PROPN
ejpam-6324	427	18	)	)	PUNCT
ejpam-6324	427	19	then	then	ADV
ejpam-6324	427	20	(	(	PUNCT
ejpam-6324	427	21	x	x	X
ejpam-6324	427	22	,	,	PUNCT
ejpam-6324	427	23	τ	τ	PROPN
ejpam-6324	427	24	,	,	PUNCT
ejpam-6324	427	25	é	é	PROPN
ejpam-6324	427	26	)	)	PUNCT
ejpam-6324	427	27	be	be	VERB
ejpam-6324	427	28	a	a	DET
ejpam-6324	427	29	quadri	quadri	NOUN
ejpam-6324	427	30	-	-	PUNCT
ejpam-6324	427	31	partitioned	partition	VERB
ejpam-6324	427	32	neutrosophic	neutrosophic	ADJ
ejpam-6324	427	33	soft	soft	ADJ
ejpam-6324	427	34	t1	t1	NOUN
ejpam-6324	427	35	−	−	NOUN
ejpam-6324	427	36	space	space	NOUN
ejpam-6324	427	37	.	.	PUNCT
ejpam-6324	428	1	proof	proof	NOUN
ejpam-6324	428	2	.	.	PUNCT
ejpam-6324	429	1	suppose	suppose	VERB
ejpam-6324	429	2	(	(	PUNCT
ejpam-6324	429	3	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	429	4	)	)	PUNCT
ejpam-6324	429	5	)	)	PUNCT
ejpam-6324	430	1	∩	∩	NOUN
ejpam-6324	430	2	(	(	PUNCT
ejpam-6324	430	3	yè	yè	PROPN
ejpam-6324	430	4	′	′	NUM
ejpam-6324	430	5	(	(	PUNCT
ejpam-6324	430	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	430	7	)	)	PUNCT
ejpam-6324	430	8	)	)	PUNCT
ejpam-6324	431	1	=	=	PUNCT
ejpam-6324	431	2	0(x	0(x	NOUN
ejpam-6324	431	3	,	,	PUNCT
ejpam-6324	431	4	é	é	PROPN
ejpam-6324	431	5	)	)	PUNCT
ejpam-6324	431	6	m.	m.	NOUN
ejpam-6324	431	7	m.	m.	PROPN
ejpam-6324	431	8	saeed	saeed	PROPN
ejpam-6324	431	9	et	et	PROPN
ejpam-6324	431	10	al	al	PROPN
ejpam-6324	431	11	.	.	PUNCT
ejpam-6324	431	12	/	/	SYM
ejpam-6324	431	13	eur	eur	PROPN
ejpam-6324	431	14	.	.	PUNCT
ejpam-6324	432	1	j.	j.	PROPN
ejpam-6324	432	2	pure	pure	PROPN
ejpam-6324	432	3	appl	appl	PROPN
ejpam-6324	432	4	.	.	PROPN
ejpam-6324	432	5	math	math	PROPN
ejpam-6324	432	6	,	,	PUNCT
ejpam-6324	432	7	18	18	NUM
ejpam-6324	432	8	(	(	PUNCT
ejpam-6324	432	9	3	3	NUM
ejpam-6324	432	10	)	)	PUNCT
ejpam-6324	432	11	(	(	PUNCT
ejpam-6324	432	12	2025	2025	NUM
ejpam-6324	432	13	)	)	PUNCT
ejpam-6324	432	14	,	,	PUNCT
ejpam-6324	432	15	6324	6324	NUM
ejpam-6324	432	16	19	19	NUM
ejpam-6324	432	17	of	of	ADP
ejpam-6324	432	18	25	25	NUM
ejpam-6324	432	19	since	since	SCONJ
ejpam-6324	432	20	(	(	PUNCT
ejpam-6324	432	21	x	x	NOUN
ejpam-6324	432	22	,	,	PUNCT
ejpam-6324	432	23	τ	τ	PROPN
ejpam-6324	432	24	,	,	PUNCT
ejpam-6324	432	25	é	é	PROPN
ejpam-6324	432	26	)	)	PUNCT
ejpam-6324	432	27	be	be	VERB
ejpam-6324	432	28	a	a	DET
ejpam-6324	432	29	quadri	quadri	NOUN
ejpam-6324	432	30	-	-	PUNCT
ejpam-6324	432	31	partitioned	partition	VERB
ejpam-6324	432	32	neutrosophic	neutrosophic	ADJ
ejpam-6324	432	33	soft	soft	ADJ
ejpam-6324	432	34	t1	t1	NOUN
ejpam-6324	432	35	−	−	NOUN
ejpam-6324	432	36	space	space	NOUN
ejpam-6324	432	37	.	.	PUNCT
ejpam-6324	433	1	(	(	PUNCT
ejpam-6324	433	2	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	433	3	)	)	PUNCT
ejpam-6324	433	4	)	)	PUNCT
ejpam-6324	434	1	and	and	CCONJ
ejpam-6324	434	2	(	(	PUNCT
ejpam-6324	434	3	yè	yè	PROPN
ejpam-6324	434	4	′	′	NUM
ejpam-6324	434	5	(	(	PUNCT
ejpam-6324	434	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	434	7	)	)	PUNCT
ejpam-6324	434	8	)	)	PUNCT
ejpam-6324	434	9	are	be	AUX
ejpam-6324	434	10	quadri	quadri	NOUN
ejpam-6324	434	11	-	-	PUNCT
ejpam-6324	434	12	partitioned	partition	VERB
ejpam-6324	434	13	neutrosophic	neutrosophic	ADJ
ejpam-6324	434	14	soft	soft	ADJ
ejpam-6324	434	15	closed	closed	ADJ
ejpam-6324	434	16	sets	set	NOUN
ejpam-6324	434	17	in	in	ADP
ejpam-6324	434	18	τ	τ	PROPN
ejpam-6324	434	19	.	.	PUNCT
ejpam-6324	435	1	thus	thus	ADV
ejpam-6324	435	2	(	(	PUNCT
ejpam-6324	435	3	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	435	4	)	)	PUNCT
ejpam-6324	435	5	)	)	PUNCT
ejpam-6324	436	1	∈	∈	PROPN
ejpam-6324	436	2	(	(	PUNCT
ejpam-6324	436	3	yè	yè	PROPN
ejpam-6324	436	4	′	′	NUM
ejpam-6324	436	5	(	(	PUNCT
ejpam-6324	436	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	436	7	)	)	PUNCT
ejpam-6324	436	8	)	)	PUNCT
ejpam-6324	437	1	c	c	X
ejpam-6324	437	2	∈	∈	PROPN
ejpam-6324	437	3	τ	τ	PROPN
ejpam-6324	437	4	.	.	PUNCT
ejpam-6324	438	1	then	then	ADV
ejpam-6324	438	2	there	there	PRON
ejpam-6324	438	3	exist	exist	VERB
ejpam-6324	438	4	quadri	quadri	NOUN
ejpam-6324	438	5	-	-	PUNCT
ejpam-6324	438	6	partitioned	partition	VERB
ejpam-6324	438	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	438	8	soft	soft	ADJ
ejpam-6324	438	9	open	open	ADJ
ejpam-6324	438	10	set	set	NOUN
ejpam-6324	438	11	(	(	PUNCT
ejpam-6324	438	12	g̃	g̃	PROPN
ejpam-6324	438	13	,	,	PUNCT
ejpam-6324	438	14	é	é	PROPN
ejpam-6324	438	15	)	)	PUNCT
ejpam-6324	438	16	such	such	ADJ
ejpam-6324	438	17	that	that	SCONJ
ejpam-6324	438	18	(	(	PUNCT
ejpam-6324	438	19	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	438	20	)	)	PUNCT
ejpam-6324	438	21	)	)	PUNCT
ejpam-6324	439	1	∈	∈	PROPN
ejpam-6324	439	2	(	(	PUNCT
ejpam-6324	439	3	g̃	g̃	PROPN
ejpam-6324	439	4	,	,	PUNCT
ejpam-6324	439	5	é	é	PROPN
ejpam-6324	439	6	)	)	PUNCT
ejpam-6324	439	7	⊂	⊂	PROPN
ejpam-6324	439	8	(	(	PUNCT
ejpam-6324	439	9	g̃	g̃	PROPN
ejpam-6324	439	10	,	,	PUNCT
ejpam-6324	439	11	é	é	PROPN
ejpam-6324	439	12	)	)	PUNCT
ejpam-6324	439	13	⊂	⊂	PROPN
ejpam-6324	439	14	(	(	PUNCT
ejpam-6324	439	15	yè	yè	PROPN
ejpam-6324	439	16	′	′	NUM
ejpam-6324	439	17	(	(	PUNCT
ejpam-6324	439	18	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	439	19	)	)	PUNCT
ejpam-6324	439	20	)	)	PUNCT
ejpam-6324	440	1	c	c	NOUN
ejpam-6324	440	2	hence	hence	ADV
ejpam-6324	440	3	,	,	PUNCT
ejpam-6324	440	4	we	we	PRON
ejpam-6324	440	5	have	have	VERB
ejpam-6324	440	6	(	(	PUNCT
ejpam-6324	440	7	yè	yè	PROPN
ejpam-6324	440	8	′	′	NUM
ejpam-6324	440	9	(	(	PUNCT
ejpam-6324	440	10	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	440	11	)	)	PUNCT
ejpam-6324	440	12	)	)	PUNCT
ejpam-6324	441	1	∈	∈	PROPN
ejpam-6324	441	2	(	(	PUNCT
ejpam-6324	441	3	(	(	PUNCT
ejpam-6324	441	4	f̃	f̃	PROPN
ejpam-6324	441	5	,	,	PUNCT
ejpam-6324	441	6	é))c	é))c	PROPN
ejpam-6324	441	7	,	,	PUNCT
ejpam-6324	441	8	(	(	PUNCT
ejpam-6324	441	9	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	441	10	)	)	PUNCT
ejpam-6324	441	11	)	)	PUNCT
ejpam-6324	442	1	∈	∈	PROPN
ejpam-6324	442	2	(	(	PUNCT
ejpam-6324	442	3	g̃	g̃	PROPN
ejpam-6324	442	4	,	,	PUNCT
ejpam-6324	442	5	é	é	PROPN
ejpam-6324	442	6	)	)	PUNCT
ejpam-6324	442	7	and	and	CCONJ
ejpam-6324	442	8	(	(	PUNCT
ejpam-6324	442	9	g̃	g̃	PROPN
ejpam-6324	442	10	,	,	PUNCT
ejpam-6324	442	11	é)∩	é)∩	X
ejpam-6324	442	12	(	(	PUNCT
ejpam-6324	442	13	(	(	PUNCT
ejpam-6324	442	14	f̃	f̃	PROPN
ejpam-6324	442	15	,	,	PUNCT
ejpam-6324	442	16	é))c	é))c	PROPN
ejpam-6324	442	17	,	,	PUNCT
ejpam-6324	442	18	i.e	i.e	PRON
ejpam-6324	442	19	,	,	PUNCT
ejpam-6324	442	20	(	(	PUNCT
ejpam-6324	442	21	x	x	X
ejpam-6324	442	22	,	,	PUNCT
ejpam-6324	442	23	τ	τ	PROPN
ejpam-6324	442	24	,	,	PUNCT
ejpam-6324	442	25	é	é	PROPN
ejpam-6324	442	26	)	)	PUNCT
ejpam-6324	442	27	is	be	AUX
ejpam-6324	442	28	a	a	DET
ejpam-6324	442	29	quadri	quadri	NOUN
ejpam-6324	442	30	-	-	PUNCT
ejpam-6324	442	31	partitioned	partition	VERB
ejpam-6324	442	32	neutrosophic	neutrosophic	ADJ
ejpam-6324	442	33	soft	soft	ADJ
ejpam-6324	442	34	t2	t2	NOUN
ejpam-6324	442	35	−	−	NOUN
ejpam-6324	442	36	space	space	NOUN
ejpam-6324	442	37	remark	remark	NOUN
ejpam-6324	442	38	1	1	NUM
ejpam-6324	442	39	.	.	PUNCT
ejpam-6324	443	1	let	let	VERB
ejpam-6324	443	2	(	(	PUNCT
ejpam-6324	443	3	x	x	NOUN
ejpam-6324	443	4	,	,	PUNCT
ejpam-6324	443	5	τ	τ	PROPN
ejpam-6324	443	6	,	,	PUNCT
ejpam-6324	443	7	é	é	PROPN
ejpam-6324	443	8	)	)	PUNCT
ejpam-6324	443	9	be	be	VERB
ejpam-6324	443	10	a	a	DET
ejpam-6324	443	11	quadri	quadri	NOUN
ejpam-6324	443	12	-	-	PUNCT
ejpam-6324	443	13	partitioned	partition	VERB
ejpam-6324	443	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	443	15	soft	soft	ADJ
ejpam-6324	443	16	ti−space	ti−space	NOUN
ejpam-6324	443	17	for	for	ADP
ejpam-6324	443	18	i	i	PRON
ejpam-6324	443	19	=	=	NOUN
ejpam-6324	443	20	1	1	NUM
ejpam-6324	443	21	,	,	PUNCT
ejpam-6324	443	22	2	2	NUM
ejpam-6324	443	23	.	.	X
ejpam-6324	444	1	for	for	ADP
ejpam-6324	444	2	each	each	DET
ejpam-6324	444	3	x	x	PUNCT
ejpam-6324	444	4	̸=	̸=	PROPN
ejpam-6324	444	5	y	y	PROPN
ejpam-6324	444	6	,	,	PUNCT
ejpam-6324	444	7	quadri	quadri	NOUN
ejpam-6324	444	8	-	-	PUNCT
ejpam-6324	444	9	partitioned	partition	VERB
ejpam-6324	444	10	neutrosophic	neutrosophic	ADJ
ejpam-6324	444	11	points	point	NOUN
ejpam-6324	444	12	(	(	PUNCT
ejpam-6324	444	13	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	444	14	)	)	PUNCT
ejpam-6324	444	15	)	)	PUNCT
ejpam-6324	444	16	and	and	CCONJ
ejpam-6324	444	17	(	(	PUNCT
ejpam-6324	444	18	yè	yè	PROPN
ejpam-6324	444	19	′	′	NUM
ejpam-6324	444	20	(	(	PUNCT
ejpam-6324	444	21	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	444	22	)	)	PUNCT
ejpam-6324	444	23	)	)	PUNCT
ejpam-6324	444	24	have	have	VERB
ejpam-6324	444	25	neighborhood	neighborhood	NOUN
ejpam-6324	444	26	satisfying	satisfy	VERB
ejpam-6324	444	27	conditions	condition	NOUN
ejpam-6324	444	28	of	of	ADP
ejpam-6324	444	29	ti	ti	NOUN
ejpam-6324	444	30	−	−	NOUN
ejpam-6324	444	31	space	space	NOUN
ejpam-6324	444	32	in	in	ADP
ejpam-6324	444	33	quadri	quadri	NOUN
ejpam-6324	444	34	-	-	PUNCT
ejpam-6324	444	35	partitioned	partition	VERB
ejpam-6324	444	36	neutrosophic	neutrosophic	ADJ
ejpam-6324	444	37	topological	topological	ADJ
ejpam-6324	444	38	space	space	NOUN
ejpam-6324	444	39	(	(	PUNCT
ejpam-6324	444	40	x	x	NOUN
ejpam-6324	444	41	,	,	PUNCT
ejpam-6324	444	42	τè	τè	PROPN
ejpam-6324	444	43	,	,	PUNCT
ejpam-6324	444	44	é	é	PROPN
ejpam-6324	444	45	)	)	PUNCT
ejpam-6324	444	46	for	for	ADP
ejpam-6324	444	47	each	each	DET
ejpam-6324	444	48	èiné	èiné	PROPN
ejpam-6324	444	49	because	because	SCONJ
ejpam-6324	444	50	(	(	PUNCT
ejpam-6324	444	51	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	444	52	)	)	PUNCT
ejpam-6324	444	53	)	)	PUNCT
ejpam-6324	445	1	and	and	CCONJ
ejpam-6324	445	2	(	(	PUNCT
ejpam-6324	445	3	yè	yè	PROPN
ejpam-6324	445	4	′	′	NUM
ejpam-6324	445	5	(	(	PUNCT
ejpam-6324	445	6	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	445	7	)	)	PUNCT
ejpam-6324	445	8	)	)	PUNCT
ejpam-6324	445	9	are	be	AUX
ejpam-6324	445	10	distinct	distinct	ADJ
ejpam-6324	445	11	quadri	quadri	NOUN
ejpam-6324	445	12	-	-	PUNCT
ejpam-6324	445	13	partitioned	partition	VERB
ejpam-6324	445	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	445	15	soft	soft	ADJ
ejpam-6324	445	16	points	point	NOUN
ejpam-6324	445	17	.	.	PUNCT
ejpam-6324	446	1	definition	definition	NOUN
ejpam-6324	446	2	29	29	NUM
ejpam-6324	446	3	.	.	PUNCT
ejpam-6324	447	1	let	let	VERB
ejpam-6324	447	2	(	(	PUNCT
ejpam-6324	447	3	x	x	NOUN
ejpam-6324	447	4	,	,	PUNCT
ejpam-6324	447	5	τ	τ	PROPN
ejpam-6324	447	6	,	,	PUNCT
ejpam-6324	447	7	é	é	PROPN
ejpam-6324	447	8	)	)	PUNCT
ejpam-6324	447	9	is	be	AUX
ejpam-6324	447	10	a	a	DET
ejpam-6324	447	11	quadri	quadri	NOUN
ejpam-6324	447	12	-	-	PUNCT
ejpam-6324	447	13	partitioned	partition	VERB
ejpam-6324	447	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	447	15	soft	soft	ADJ
ejpam-6324	447	16	topological	topological	ADJ
ejpam-6324	447	17	space	space	NOUN
ejpam-6324	447	18	over	over	ADP
ejpam-6324	447	19	x.	x.	PROPN
ejpam-6324	447	20	(	(	PUNCT
ejpam-6324	447	21	f̃	f̃	PROPN
ejpam-6324	447	22	,	,	PUNCT
ejpam-6324	447	23	é	é	PROPN
ejpam-6324	447	24	)	)	PUNCT
ejpam-6324	447	25	be	be	VERB
ejpam-6324	447	26	a	a	DET
ejpam-6324	447	27	quadri	quadri	NOUN
ejpam-6324	447	28	-	-	PUNCT
ejpam-6324	447	29	partitioned	partition	VERB
ejpam-6324	447	30	neutrosophic	neutrosophic	ADJ
ejpam-6324	447	31	soft	soft	ADJ
ejpam-6324	447	32	closed	closed	ADJ
ejpam-6324	447	33	set	set	NOUN
ejpam-6324	447	34	,	,	PUNCT
ejpam-6324	447	35	and	and	CCONJ
ejpam-6324	448	1	(	(	PUNCT
ejpam-6324	448	2	xè(p1,p2,p3,p4))∩	xè(p1,p2,p3,p4))∩	PROPN
ejpam-6324	448	3	(	(	PUNCT
ejpam-6324	448	4	f̃	f̃	PROPN
ejpam-6324	448	5	,	,	PUNCT
ejpam-6324	448	6	é	é	PROPN
ejpam-6324	448	7	)	)	PUNCT
ejpam-6324	448	8	=	=	SYM
ejpam-6324	448	9	0(x	0(x	NOUN
ejpam-6324	448	10	,	,	PUNCT
ejpam-6324	448	11	é	é	PROPN
ejpam-6324	448	12	)	)	PUNCT
ejpam-6324	448	13	.	.	PUNCT
ejpam-6324	449	1	if	if	SCONJ
ejpam-6324	449	2	there	there	PRON
ejpam-6324	449	3	exist	exist	VERB
ejpam-6324	449	4	quadri	quadri	NOUN
ejpam-6324	449	5	-	-	PUNCT
ejpam-6324	449	6	partitioned	partition	VERB
ejpam-6324	449	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	449	8	soft	soft	ADJ
ejpam-6324	449	9	open	open	ADJ
ejpam-6324	449	10	sets	set	NOUN
ejpam-6324	449	11	(	(	PUNCT
ejpam-6324	449	12	g̃1	g̃1	NOUN
ejpam-6324	449	13	,	,	PUNCT
ejpam-6324	449	14	é	é	PROPN
ejpam-6324	449	15	)	)	PUNCT
ejpam-6324	449	16	and	and	CCONJ
ejpam-6324	449	17	(	(	PUNCT
ejpam-6324	449	18	g̃2	g̃2	PROPN
ejpam-6324	449	19	,	,	PUNCT
ejpam-6324	449	20	é	é	PROPN
ejpam-6324	449	21	)	)	PUNCT
ejpam-6324	449	22	such	such	ADJ
ejpam-6324	449	23	that	that	SCONJ
ejpam-6324	449	24	(	(	PUNCT
ejpam-6324	449	25	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	449	26	)	)	PUNCT
ejpam-6324	449	27	)	)	PUNCT
ejpam-6324	449	28	∩	∩	NOUN
ejpam-6324	449	29	(	(	PUNCT
ejpam-6324	449	30	g̃)1	g̃)1	NOUN
ejpam-6324	449	31	,	,	PUNCT
ejpam-6324	449	32	é	é	PROPN
ejpam-6324	449	33	)	)	PUNCT
ejpam-6324	449	34	,	,	PUNCT
ejpam-6324	449	35	(	(	PUNCT
ejpam-6324	449	36	g̃2	g̃2	PROPN
ejpam-6324	449	37	,	,	PUNCT
ejpam-6324	449	38	é	é	PROPN
ejpam-6324	449	39	)	)	PUNCT
ejpam-6324	449	40	⊂	⊂	PROPN
ejpam-6324	449	41	(	(	PUNCT
ejpam-6324	449	42	f̃	f̃	PROPN
ejpam-6324	449	43	,	,	PUNCT
ejpam-6324	449	44	é	é	PROPN
ejpam-6324	449	45	)	)	PUNCT
ejpam-6324	449	46	and	and	CCONJ
ejpam-6324	449	47	(	(	PUNCT
ejpam-6324	449	48	g̃1	g̃1	NOUN
ejpam-6324	449	49	,	,	PUNCT
ejpam-6324	449	50	é	é	PROPN
ejpam-6324	449	51	)	)	PUNCT
ejpam-6324	449	52	∩	∩	NOUN
ejpam-6324	449	53	(	(	PUNCT
ejpam-6324	449	54	g̃2	g̃2	PROPN
ejpam-6324	449	55	,	,	PUNCT
ejpam-6324	449	56	é	é	PROPN
ejpam-6324	449	57	)	)	PUNCT
ejpam-6324	449	58	=	=	SYM
ejpam-6324	449	59	0(x	0(x	NOUN
ejpam-6324	449	60	,	,	PUNCT
ejpam-6324	449	61	é	é	PROPN
ejpam-6324	449	62	)	)	PUNCT
ejpam-6324	449	63	,	,	PUNCT
ejpam-6324	449	64	then	then	ADV
ejpam-6324	449	65	(	(	PUNCT
ejpam-6324	449	66	x	x	X
ejpam-6324	449	67	,	,	PUNCT
ejpam-6324	449	68	τ	τ	PROPN
ejpam-6324	449	69	,	,	PUNCT
ejpam-6324	449	70	é	é	PROPN
ejpam-6324	449	71	)	)	PUNCT
ejpam-6324	449	72	is	be	AUX
ejpam-6324	449	73	called	call	VERB
ejpam-6324	449	74	a	a	DET
ejpam-6324	449	75	quadri	quadri	NOUN
ejpam-6324	449	76	-	-	PUNCT
ejpam-6324	449	77	partitioned	partition	VERB
ejpam-6324	449	78	neutrosophic	neutrosophic	ADJ
ejpam-6324	449	79	soft	soft	ADJ
ejpam-6324	449	80	regular	regular	ADJ
ejpam-6324	449	81	and	and	CCONJ
ejpam-6324	449	82	quadripartitioned	quadripartitione	VERB
ejpam-6324	449	83	neutrosophic	neutrosophic	ADJ
ejpam-6324	449	84	soft	soft	ADJ
ejpam-6324	449	85	t1	t1	NOUN
ejpam-6324	449	86	−	−	NOUN
ejpam-6324	449	87	space	space	NOUN
ejpam-6324	449	88	.	.	PUNCT
ejpam-6324	450	1	theorem	theorem	ADJ
ejpam-6324	450	2	6	6	NUM
ejpam-6324	450	3	.	.	PUNCT
ejpam-6324	451	1	let	let	AUX
ejpam-6324	451	2	(	(	PUNCT
ejpam-6324	451	3	x	x	NOUN
ejpam-6324	451	4	,	,	PUNCT
ejpam-6324	451	5	τ	τ	PROPN
ejpam-6324	451	6	,	,	PUNCT
ejpam-6324	451	7	é	é	PROPN
ejpam-6324	451	8	)	)	PUNCT
ejpam-6324	451	9	be	be	VERB
ejpam-6324	451	10	a	a	DET
ejpam-6324	451	11	quadri	quadri	NOUN
ejpam-6324	451	12	-	-	PUNCT
ejpam-6324	451	13	partitioned	partition	VERB
ejpam-6324	451	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	451	15	soft	soft	ADJ
ejpam-6324	451	16	topological	topological	ADJ
ejpam-6324	451	17	space	space	NOUN
ejpam-6324	451	18	over	over	ADP
ejpam-6324	451	19	x	x	PROPN
ejpam-6324	451	20	,	,	PUNCT
ejpam-6324	451	21	(	(	PUNCT
ejpam-6324	451	22	x	x	X
ejpam-6324	451	23	,	,	PUNCT
ejpam-6324	451	24	τ	τ	PROPN
ejpam-6324	451	25	,	,	PUNCT
ejpam-6324	451	26	é	é	PROPN
ejpam-6324	451	27	)	)	PUNCT
ejpam-6324	451	28	is	be	AUX
ejpam-6324	451	29	a	a	DET
ejpam-6324	451	30	quadri	quadri	NOUN
ejpam-6324	451	31	-	-	PUNCT
ejpam-6324	451	32	partitioned	partition	VERB
ejpam-6324	451	33	neutrosophic	neutrosophic	ADJ
ejpam-6324	451	34	soft	soft	ADJ
ejpam-6324	451	35	t3	t3	NOUN
ejpam-6324	451	36	−	−	NOUN
ejpam-6324	451	37	space	space	NOUN
ejpam-6324	451	38	if	if	SCONJ
ejpam-6324	451	39	and	and	CCONJ
ejpam-6324	451	40	only	only	ADV
ejpam-6324	451	41	if	if	SCONJ
ejpam-6324	451	42	(	(	PUNCT
ejpam-6324	451	43	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	451	44	)	)	PUNCT
ejpam-6324	451	45	)	)	PUNCT
ejpam-6324	452	1	∈	∈	PROPN
ejpam-6324	452	2	(	(	PUNCT
ejpam-6324	452	3	f̃1	f̃1	PROPN
ejpam-6324	452	4	,	,	PUNCT
ejpam-6324	452	5	é	é	PROPN
ejpam-6324	452	6	)	)	PUNCT
ejpam-6324	452	7	∈	∈	PROPN
ejpam-6324	452	8	τ	τ	X
ejpam-6324	452	9	,	,	PUNCT
ejpam-6324	452	10	there	there	PRON
ejpam-6324	452	11	exist	exist	VERB
ejpam-6324	452	12	a	a	DET
ejpam-6324	452	13	quadri	quadri	NOUN
ejpam-6324	452	14	-	-	PUNCT
ejpam-6324	452	15	partitioned	partition	VERB
ejpam-6324	452	16	neutrosophic	neutrosophic	ADJ
ejpam-6324	452	17	soft	soft	ADJ
ejpam-6324	452	18	open	open	ADJ
ejpam-6324	452	19	set	set	NOUN
ejpam-6324	452	20	(	(	PUNCT
ejpam-6324	452	21	g̃1	g̃1	NOUN
ejpam-6324	452	22	,	,	PUNCT
ejpam-6324	452	23	é	é	PROPN
ejpam-6324	452	24	)	)	PUNCT
ejpam-6324	452	25	∈	∈	PROPN
ejpam-6324	452	26	τ	τ	X
ejpam-6324	452	27	such	such	ADJ
ejpam-6324	452	28	that	that	SCONJ
ejpam-6324	452	29	(	(	PUNCT
ejpam-6324	452	30	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	452	31	)	)	PUNCT
ejpam-6324	452	32	)	)	PUNCT
ejpam-6324	453	1	∈	∈	PROPN
ejpam-6324	453	2	(	(	PUNCT
ejpam-6324	453	3	g̃1	g̃1	NOUN
ejpam-6324	453	4	,	,	PUNCT
ejpam-6324	453	5	é	é	PROPN
ejpam-6324	453	6	)	)	PUNCT
ejpam-6324	453	7	⊂	⊂	PROPN
ejpam-6324	453	8	(	(	PUNCT
ejpam-6324	453	9	g̃	g̃	PROPN
ejpam-6324	453	10	,	,	PUNCT
ejpam-6324	453	11	é	é	PROPN
ejpam-6324	453	12	)	)	PUNCT
ejpam-6324	453	13	⊂	⊂	PROPN
ejpam-6324	453	14	(	(	PUNCT
ejpam-6324	453	15	f̃	f̃	PROPN
ejpam-6324	453	16	,	,	PUNCT
ejpam-6324	453	17	é	é	PROPN
ejpam-6324	453	18	)	)	PUNCT
ejpam-6324	453	19	proof	proof	NOUN
ejpam-6324	453	20	.	.	PUNCT
ejpam-6324	454	1	let	let	VERB
ejpam-6324	454	2	(	(	PUNCT
ejpam-6324	454	3	x	x	NOUN
ejpam-6324	454	4	,	,	PUNCT
ejpam-6324	454	5	τ	τ	PROPN
ejpam-6324	454	6	,	,	PUNCT
ejpam-6324	454	7	é	é	PROPN
ejpam-6324	454	8	)	)	PUNCT
ejpam-6324	454	9	be	be	VERB
ejpam-6324	454	10	a	a	DET
ejpam-6324	454	11	quadri	quadri	NOUN
ejpam-6324	454	12	-	-	PUNCT
ejpam-6324	454	13	partitioned	partition	VERB
ejpam-6324	454	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	454	15	soft	soft	ADJ
ejpam-6324	454	16	t3−space	t3−space	NOUN
ejpam-6324	454	17	and	and	CCONJ
ejpam-6324	454	18	(	(	PUNCT
ejpam-6324	454	19	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	454	20	)	)	PUNCT
ejpam-6324	454	21	)	)	PUNCT
ejpam-6324	455	1	∈	∈	PROPN
ejpam-6324	455	2	(	(	PUNCT
ejpam-6324	455	3	f̃1	f̃1	PROPN
ejpam-6324	455	4	,	,	PUNCT
ejpam-6324	455	5	é	é	PROPN
ejpam-6324	455	6	)	)	PUNCT
ejpam-6324	455	7	∈	∈	PROPN
ejpam-6324	455	8	τ	τ	X
ejpam-6324	455	9	.	.	PUNCT
ejpam-6324	456	1	since	since	SCONJ
ejpam-6324	456	2	(	(	PUNCT
ejpam-6324	456	3	x	x	X
ejpam-6324	456	4	,	,	PUNCT
ejpam-6324	456	5	τ	τ	PROPN
ejpam-6324	456	6	,	,	PUNCT
ejpam-6324	456	7	é	é	PROPN
ejpam-6324	456	8	)	)	PUNCT
ejpam-6324	456	9	is	be	AUX
ejpam-6324	456	10	a	a	DET
ejpam-6324	456	11	quadri	quadri	NOUN
ejpam-6324	456	12	-	-	PUNCT
ejpam-6324	456	13	partitioned	partition	VERB
ejpam-6324	456	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	456	15	soft	soft	ADJ
ejpam-6324	456	16	t3	t3	NOUN
ejpam-6324	456	17	−	−	NOUN
ejpam-6324	456	18	space	space	NOUN
ejpam-6324	456	19	for	for	ADP
ejpam-6324	456	20	the	the	DET
ejpam-6324	456	21	quadri	quadri	NOUN
ejpam-6324	456	22	-	-	PUNCT
ejpam-6324	456	23	partitioned	partition	VERB
ejpam-6324	456	24	neutrosophic	neutrosophic	ADJ
ejpam-6324	456	25	soft	soft	ADJ
ejpam-6324	456	26	points	point	NOUN
ejpam-6324	456	27	(	(	PUNCT
ejpam-6324	456	28	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	456	29	)	)	PUNCT
ejpam-6324	456	30	)	)	PUNCT
ejpam-6324	456	31	and	and	CCONJ
ejpam-6324	456	32	quadri	quadri	NOUN
ejpam-6324	456	33	-	-	PUNCT
ejpam-6324	456	34	partitioned	partition	VERB
ejpam-6324	456	35	neutrosophic	neutrosophic	ADJ
ejpam-6324	456	36	soft	soft	ADJ
ejpam-6324	456	37	closed	closed	ADJ
ejpam-6324	456	38	set	set	NOUN
ejpam-6324	456	39	(	(	PUNCT
ejpam-6324	456	40	f̃	f̃	PROPN
ejpam-6324	456	41	,	,	PUNCT
ejpam-6324	456	42	é)c	é)c	NOUN
ejpam-6324	456	43	,	,	PUNCT
ejpam-6324	456	44	there	there	PRON
ejpam-6324	456	45	exist	exist	VERB
ejpam-6324	456	46	(	(	PUNCT
ejpam-6324	456	47	g̃1	g̃1	NOUN
ejpam-6324	456	48	,	,	PUNCT
ejpam-6324	456	49	é	é	PROPN
ejpam-6324	456	50	)	)	PUNCT
ejpam-6324	456	51	,	,	PUNCT
ejpam-6324	456	52	(	(	PUNCT
ejpam-6324	456	53	g̃2	g̃2	PROPN
ejpam-6324	456	54	,	,	PUNCT
ejpam-6324	456	55	é	é	PROPN
ejpam-6324	456	56	)	)	PUNCT
ejpam-6324	456	57	∈	∈	PROPN
ejpam-6324	456	58	τ	τ	X
ejpam-6324	456	59	such	such	ADJ
ejpam-6324	456	60	that	that	SCONJ
ejpam-6324	456	61	(	(	PUNCT
ejpam-6324	456	62	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	456	63	)	)	PUNCT
ejpam-6324	456	64	)	)	PUNCT
ejpam-6324	457	1	∈	∈	PROPN
ejpam-6324	457	2	(	(	PUNCT
ejpam-6324	457	3	g̃1	g̃1	NOUN
ejpam-6324	457	4	,	,	PUNCT
ejpam-6324	457	5	é	é	PROPN
ejpam-6324	457	6	)	)	PUNCT
ejpam-6324	457	7	,	,	PUNCT
ejpam-6324	457	8	(	(	PUNCT
ejpam-6324	457	9	f̃	f̃	PROPN
ejpam-6324	457	10	,	,	PUNCT
ejpam-6324	457	11	é)c	é)c	ADP
ejpam-6324	457	12	∈	∈	PROPN
ejpam-6324	457	13	(	(	PUNCT
ejpam-6324	457	14	g̃2	g̃2	PROPN
ejpam-6324	457	15	,	,	PUNCT
ejpam-6324	457	16	é	é	PROPN
ejpam-6324	457	17	)	)	PUNCT
ejpam-6324	457	18	and	and	CCONJ
ejpam-6324	457	19	(	(	PUNCT
ejpam-6324	457	20	g̃1	g̃1	NOUN
ejpam-6324	457	21	,	,	PUNCT
ejpam-6324	457	22	é	é	PROPN
ejpam-6324	457	23	)	)	PUNCT
ejpam-6324	457	24	∩	∩	NOUN
ejpam-6324	457	25	(	(	PUNCT
ejpam-6324	457	26	g̃2	g̃2	PROPN
ejpam-6324	457	27	,	,	PUNCT
ejpam-6324	457	28	é	é	PROPN
ejpam-6324	457	29	)	)	PUNCT
ejpam-6324	457	30	=	=	SYM
ejpam-6324	457	31	0(x	0(x	NOUN
ejpam-6324	457	32	,	,	PUNCT
ejpam-6324	457	33	é	é	PROPN
ejpam-6324	457	34	)	)	PUNCT
ejpam-6324	457	35	.	.	PUNCT
ejpam-6324	458	1	thus	thus	ADV
ejpam-6324	458	2	we	we	PRON
ejpam-6324	458	3	have	have	VERB
ejpam-6324	458	4	(	(	PUNCT
ejpam-6324	458	5	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	458	6	)	)	PUNCT
ejpam-6324	458	7	)	)	PUNCT
ejpam-6324	459	1	∈	∈	PROPN
ejpam-6324	459	2	(	(	PUNCT
ejpam-6324	459	3	g̃1	g̃1	NOUN
ejpam-6324	459	4	,	,	PUNCT
ejpam-6324	459	5	é	é	PROPN
ejpam-6324	459	6	)	)	PUNCT
ejpam-6324	459	7	⊂	⊂	PROPN
ejpam-6324	459	8	(	(	PUNCT
ejpam-6324	459	9	g̃	g̃	PROPN
ejpam-6324	459	10	,	,	PUNCT
ejpam-6324	459	11	é)c	é)c	ADP
ejpam-6324	459	12	⊂	⊂	PROPN
ejpam-6324	459	13	(	(	PUNCT
ejpam-6324	459	14	f̃	f̃	PROPN
ejpam-6324	459	15	,	,	PUNCT
ejpam-6324	459	16	é	é	PROPN
ejpam-6324	459	17	)	)	PUNCT
ejpam-6324	459	18	since	since	SCONJ
ejpam-6324	459	19	(	(	PUNCT
ejpam-6324	459	20	g̃	g̃	PROPN
ejpam-6324	459	21	,	,	PUNCT
ejpam-6324	459	22	é)c	é)c	X
ejpam-6324	459	23	is	be	AUX
ejpam-6324	459	24	a	a	DET
ejpam-6324	459	25	quadri	quadri	NOUN
ejpam-6324	459	26	-	-	PUNCT
ejpam-6324	459	27	partitioned	partition	VERB
ejpam-6324	459	28	neutrosophic	neutrosophic	ADJ
ejpam-6324	459	29	soft	soft	ADJ
ejpam-6324	459	30	closed	closed	ADJ
ejpam-6324	459	31	set	set	VERB
ejpam-6324	459	32	so	so	SCONJ
ejpam-6324	459	33	that	that	SCONJ
ejpam-6324	459	34	(	(	PUNCT
ejpam-6324	459	35	g̃	g̃	PROPN
ejpam-6324	459	36	,	,	PUNCT
ejpam-6324	459	37	é	é	PROPN
ejpam-6324	459	38	)	)	PUNCT
ejpam-6324	459	39	⊂	⊂	PROPN
ejpam-6324	459	40	(	(	PUNCT
ejpam-6324	459	41	g̃	g̃	PROPN
ejpam-6324	459	42	,	,	PUNCT
ejpam-6324	459	43	é)c	é)c	NOUN
ejpam-6324	459	44	.	.	PROPN
ejpam-6324	459	45	m.	m.	PROPN
ejpam-6324	459	46	m.	m.	PROPN
ejpam-6324	459	47	saeed	saeed	PROPN
ejpam-6324	459	48	et	et	PROPN
ejpam-6324	459	49	al	al	PROPN
ejpam-6324	459	50	.	.	PUNCT
ejpam-6324	459	51	/	/	SYM
ejpam-6324	459	52	eur	eur	PROPN
ejpam-6324	459	53	.	.	PUNCT
ejpam-6324	460	1	j.	j.	PROPN
ejpam-6324	460	2	pure	pure	PROPN
ejpam-6324	460	3	appl	appl	PROPN
ejpam-6324	460	4	.	.	PROPN
ejpam-6324	460	5	math	math	PROPN
ejpam-6324	460	6	,	,	PUNCT
ejpam-6324	460	7	18	18	NUM
ejpam-6324	460	8	(	(	PUNCT
ejpam-6324	460	9	3	3	NUM
ejpam-6324	460	10	)	)	PUNCT
ejpam-6324	460	11	(	(	PUNCT
ejpam-6324	460	12	2025	2025	NUM
ejpam-6324	460	13	)	)	PUNCT
ejpam-6324	460	14	,	,	PUNCT
ejpam-6324	460	15	6324	6324	NUM
ejpam-6324	460	16	20	20	NUM
ejpam-6324	460	17	of	of	ADP
ejpam-6324	460	18	25	25	NUM
ejpam-6324	460	19	conversely	conversely	ADV
ejpam-6324	460	20	let	let	VERB
ejpam-6324	460	21	(	(	PUNCT
ejpam-6324	460	22	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	NUM
ejpam-6324	460	23	)	)	PUNCT
ejpam-6324	460	24	)	)	PUNCT
ejpam-6324	461	1	∩	∩	NOUN
ejpam-6324	461	2	(	(	PUNCT
ejpam-6324	461	3	h̃	h̃	PROPN
ejpam-6324	461	4	,	,	PUNCT
ejpam-6324	461	5	é	é	PROPN
ejpam-6324	461	6	)	)	PUNCT
ejpam-6324	461	7	=	=	SYM
ejpam-6324	461	8	0(x	0(x	NOUN
ejpam-6324	461	9	,	,	PUNCT
ejpam-6324	461	10	é	é	PROPN
ejpam-6324	461	11	)	)	PUNCT
ejpam-6324	461	12	and	and	CCONJ
ejpam-6324	461	13	(	(	PUNCT
ejpam-6324	461	14	h̃	h̃	PROPN
ejpam-6324	461	15	,	,	PUNCT
ejpam-6324	461	16	é	é	PROPN
ejpam-6324	461	17	)	)	PUNCT
ejpam-6324	461	18	be	be	VERB
ejpam-6324	461	19	a	a	DET
ejpam-6324	461	20	quadri	quadri	NOUN
ejpam-6324	461	21	-	-	PUNCT
ejpam-6324	461	22	partitioned	partition	VERB
ejpam-6324	461	23	neutrosophic	neutrosophic	ADJ
ejpam-6324	461	24	soft	soft	ADJ
ejpam-6324	461	25	closed	closed	ADJ
ejpam-6324	461	26	set	set	NOUN
ejpam-6324	461	27	.	.	PUNCT
ejpam-6324	462	1	thus	thus	ADV
ejpam-6324	462	2	,	,	PUNCT
ejpam-6324	462	3	(	(	PUNCT
ejpam-6324	462	4	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	462	5	)	)	PUNCT
ejpam-6324	462	6	)	)	PUNCT
ejpam-6324	462	7	∈	∈	PROPN
ejpam-6324	462	8	(	(	PUNCT
ejpam-6324	462	9	h̃	h̃	PROPN
ejpam-6324	462	10	,	,	PUNCT
ejpam-6324	462	11	é)c	é)c	NOUN
ejpam-6324	462	12	and	and	CCONJ
ejpam-6324	462	13	from	from	ADP
ejpam-6324	462	14	the	the	DET
ejpam-6324	462	15	condition	condition	NOUN
ejpam-6324	462	16	of	of	ADP
ejpam-6324	462	17	the	the	DET
ejpam-6324	462	18	theorem	theorem	NOUN
ejpam-6324	462	19	,	,	PUNCT
ejpam-6324	462	20	we	we	PRON
ejpam-6324	462	21	have	have	AUX
ejpam-6324	462	22	(	(	PUNCT
ejpam-6324	462	23	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	462	24	)	)	PUNCT
ejpam-6324	462	25	)	)	PUNCT
ejpam-6324	462	26	∈	∈	PROPN
ejpam-6324	462	27	(	(	PUNCT
ejpam-6324	462	28	g̃	g̃	PROPN
ejpam-6324	462	29	,	,	PUNCT
ejpam-6324	462	30	é	é	PROPN
ejpam-6324	462	31	)	)	PUNCT
ejpam-6324	462	32	⊂	⊂	PROPN
ejpam-6324	462	33	(	(	PUNCT
ejpam-6324	462	34	g̃	g̃	PROPN
ejpam-6324	462	35	,	,	PUNCT
ejpam-6324	462	36	é	é	PROPN
ejpam-6324	462	37	)	)	PUNCT
ejpam-6324	462	38	⊂	⊂	PROPN
ejpam-6324	462	39	(	(	PUNCT
ejpam-6324	462	40	h̃	h̃	PROPN
ejpam-6324	462	41	,	,	PUNCT
ejpam-6324	462	42	é)c	é)c	NOUN
ejpam-6324	462	43	.	.	PROPN
ejpam-6324	463	1	then	then	ADV
ejpam-6324	463	2	,	,	PUNCT
ejpam-6324	463	3	(	(	PUNCT
ejpam-6324	463	4	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	463	5	)	)	PUNCT
ejpam-6324	463	6	)	)	PUNCT
ejpam-6324	464	1	∈	∈	PROPN
ejpam-6324	464	2	(	(	PUNCT
ejpam-6324	464	3	g̃	g̃	PROPN
ejpam-6324	464	4	,	,	PUNCT
ejpam-6324	464	5	é	é	PROPN
ejpam-6324	464	6	)	)	PUNCT
ejpam-6324	464	7	,	,	PUNCT
ejpam-6324	464	8	(	(	PUNCT
ejpam-6324	464	9	h̃	h̃	PROPN
ejpam-6324	464	10	,	,	PUNCT
ejpam-6324	464	11	é	é	PROPN
ejpam-6324	464	12	)	)	PUNCT
ejpam-6324	464	13	⊂	⊂	PROPN
ejpam-6324	464	14	(	(	PUNCT
ejpam-6324	464	15	(	(	PUNCT
ejpam-6324	464	16	g̃	g̃	PROPN
ejpam-6324	464	17	,	,	PUNCT
ejpam-6324	464	18	é))c	é))c	PROPN
ejpam-6324	464	19	and	and	CCONJ
ejpam-6324	464	20	(	(	PUNCT
ejpam-6324	464	21	g̃	g̃	PROPN
ejpam-6324	464	22	,	,	PUNCT
ejpam-6324	464	23	é	é	PROPN
ejpam-6324	464	24	)	)	PUNCT
ejpam-6324	464	25	⊂	⊂	PROPN
ejpam-6324	464	26	(	(	PUNCT
ejpam-6324	464	27	(	(	PUNCT
ejpam-6324	464	28	g̃	g̃	PROPN
ejpam-6324	464	29	,	,	PUNCT
ejpam-6324	464	30	é))c	é))c	NOUN
ejpam-6324	464	31	=	=	SYM
ejpam-6324	464	32	0(x	0(x	NOUN
ejpam-6324	464	33	,	,	PUNCT
ejpam-6324	464	34	é	é	PROPN
ejpam-6324	464	35	)	)	PUNCT
ejpam-6324	464	36	,	,	PUNCT
ejpam-6324	464	37	i.e	i.e	PROPN
ejpam-6324	464	38	,	,	PUNCT
ejpam-6324	464	39	(	(	PUNCT
ejpam-6324	464	40	x	x	X
ejpam-6324	464	41	,	,	PUNCT
ejpam-6324	464	42	τ	τ	PROPN
ejpam-6324	464	43	,	,	PUNCT
ejpam-6324	464	44	é	é	PROPN
ejpam-6324	464	45	)	)	PUNCT
ejpam-6324	464	46	is	be	AUX
ejpam-6324	464	47	a	a	DET
ejpam-6324	464	48	quadri	quadri	NOUN
ejpam-6324	464	49	-	-	PUNCT
ejpam-6324	464	50	partitioned	partition	VERB
ejpam-6324	464	51	neutrosophic	neutrosophic	ADJ
ejpam-6324	464	52	soft	soft	ADJ
ejpam-6324	464	53	t3	t3	NOUN
ejpam-6324	464	54	−	−	NOUN
ejpam-6324	464	55	space	space	NOUN
ejpam-6324	464	56	.	.	PUNCT
ejpam-6324	465	1	definition	definition	NOUN
ejpam-6324	465	2	30	30	NUM
ejpam-6324	465	3	.	.	PUNCT
ejpam-6324	466	1	a	a	DET
ejpam-6324	466	2	quadri	quadri	NOUN
ejpam-6324	466	3	-	-	PUNCT
ejpam-6324	466	4	partitioned	partition	VERB
ejpam-6324	466	5	neutrosophic	neutrosophic	ADJ
ejpam-6324	466	6	soft	soft	ADJ
ejpam-6324	466	7	topological	topological	ADJ
ejpam-6324	466	8	space	space	NOUN
ejpam-6324	466	9	(	(	PUNCT
ejpam-6324	466	10	x	x	X
ejpam-6324	466	11	,	,	PUNCT
ejpam-6324	466	12	τ	τ	PROPN
ejpam-6324	466	13	,	,	PUNCT
ejpam-6324	466	14	é	é	PROPN
ejpam-6324	466	15	)	)	PUNCT
ejpam-6324	466	16	over	over	ADV
ejpam-6324	466	17	x	x	VERB
ejpam-6324	466	18	is	be	AUX
ejpam-6324	466	19	called	call	VERB
ejpam-6324	466	20	a	a	DET
ejpam-6324	466	21	d	d	X
ejpam-6324	466	22	quadri	quadri	X
ejpam-6324	466	23	-	-	PUNCT
ejpam-6324	466	24	partitioned	partition	VERB
ejpam-6324	466	25	neutrosophic	neutrosophic	ADJ
ejpam-6324	466	26	soft	soft	ADJ
ejpam-6324	466	27	normal	normal	ADJ
ejpam-6324	466	28	space	space	NOUN
ejpam-6324	466	29	if	if	SCONJ
ejpam-6324	466	30	for	for	ADP
ejpam-6324	466	31	every	every	DET
ejpam-6324	466	32	pair	pair	NOUN
ejpam-6324	466	33	of	of	ADP
ejpam-6324	466	34	disjoint	disjoint	PROPN
ejpam-6324	466	35	quadri	quadri	PROPN
ejpam-6324	466	36	-	-	PUNCT
ejpam-6324	466	37	partitioned	partition	VERB
ejpam-6324	466	38	neutrosophic	neutrosophic	ADJ
ejpam-6324	466	39	soft	soft	ADJ
ejpam-6324	466	40	closed	closed	ADJ
ejpam-6324	466	41	sets	set	NOUN
ejpam-6324	466	42	(	(	PUNCT
ejpam-6324	466	43	f̃1	f̃1	PROPN
ejpam-6324	466	44	,	,	PUNCT
ejpam-6324	466	45	é	é	PROPN
ejpam-6324	466	46	)	)	PUNCT
ejpam-6324	466	47	,	,	PUNCT
ejpam-6324	466	48	(	(	PUNCT
ejpam-6324	466	49	f̃2	f̃2	PROPN
ejpam-6324	466	50	,	,	PUNCT
ejpam-6324	466	51	é	é	PROPN
ejpam-6324	466	52	)	)	PUNCT
ejpam-6324	466	53	,	,	PUNCT
ejpam-6324	466	54	there	there	PRON
ejpam-6324	466	55	exists	exist	VERB
ejpam-6324	466	56	disjoint	disjoint	PROPN
ejpam-6324	466	57	quadri	quadri	PROPN
ejpam-6324	466	58	-	-	PUNCT
ejpam-6324	466	59	partitioned	partition	VERB
ejpam-6324	466	60	neutrosophic	neutrosophic	ADJ
ejpam-6324	466	61	soft	soft	ADJ
ejpam-6324	466	62	open	open	ADJ
ejpam-6324	466	63	sets	set	NOUN
ejpam-6324	466	64	(	(	PUNCT
ejpam-6324	466	65	g̃1	g̃1	NOUN
ejpam-6324	466	66	,	,	PUNCT
ejpam-6324	466	67	é	é	PROPN
ejpam-6324	466	68	)	)	PUNCT
ejpam-6324	466	69	,	,	PUNCT
ejpam-6324	466	70	(	(	PUNCT
ejpam-6324	466	71	g̃2	g̃2	PROPN
ejpam-6324	466	72	,	,	PUNCT
ejpam-6324	466	73	é	é	PROPN
ejpam-6324	466	74	)	)	PUNCT
ejpam-6324	466	75	such	such	ADJ
ejpam-6324	466	76	that	that	SCONJ
ejpam-6324	466	77	(	(	PUNCT
ejpam-6324	466	78	g̃1	g̃1	NOUN
ejpam-6324	466	79	,	,	PUNCT
ejpam-6324	466	80	é	é	PROPN
ejpam-6324	466	81	)	)	PUNCT
ejpam-6324	466	82	⊂	⊂	PROPN
ejpam-6324	466	83	(	(	PUNCT
ejpam-6324	466	84	g̃2	g̃2	PROPN
ejpam-6324	466	85	,	,	PUNCT
ejpam-6324	466	86	é	é	PROPN
ejpam-6324	466	87	)	)	PUNCT
ejpam-6324	466	88	and	and	CCONJ
ejpam-6324	466	89	(	(	PUNCT
ejpam-6324	466	90	f̃2	f̃2	PROPN
ejpam-6324	466	91	,	,	PUNCT
ejpam-6324	466	92	é	é	PROPN
ejpam-6324	466	93	)	)	PUNCT
ejpam-6324	466	94	⊂	⊂	PROPN
ejpam-6324	466	95	(	(	PUNCT
ejpam-6324	466	96	g̃2	g̃2	PROPN
ejpam-6324	466	97	,	,	PUNCT
ejpam-6324	466	98	é	é	PROPN
ejpam-6324	466	99	)	)	PUNCT
ejpam-6324	466	100	.	.	PUNCT
ejpam-6324	467	1	then	then	ADV
ejpam-6324	467	2	,	,	PUNCT
ejpam-6324	467	3	(	(	PUNCT
ejpam-6324	467	4	x	x	X
ejpam-6324	467	5	,	,	PUNCT
ejpam-6324	467	6	τ	τ	PROPN
ejpam-6324	467	7	,	,	PUNCT
ejpam-6324	467	8	é	é	PROPN
ejpam-6324	467	9	)	)	PUNCT
ejpam-6324	467	10	is	be	AUX
ejpam-6324	467	11	said	say	VERB
ejpam-6324	467	12	to	to	PART
ejpam-6324	467	13	be	be	AUX
ejpam-6324	467	14	quadri	quadri	NOUN
ejpam-6324	467	15	-	-	PUNCT
ejpam-6324	467	16	partitioned	partition	VERB
ejpam-6324	467	17	neutrosophic	neutrosophic	ADJ
ejpam-6324	467	18	soft	soft	ADJ
ejpam-6324	467	19	t4	t4	PROPN
ejpam-6324	467	20	−	−	PROPN
ejpam-6324	467	21	space	space	NOUN
ejpam-6324	467	22	if	if	SCONJ
ejpam-6324	467	23	it	it	PRON
ejpam-6324	467	24	is	be	AUX
ejpam-6324	467	25	a	a	DET
ejpam-6324	467	26	quadri	quadri	NOUN
ejpam-6324	467	27	-	-	PUNCT
ejpam-6324	467	28	partitioned	partition	VERB
ejpam-6324	467	29	neutrosophic	neutrosophic	ADJ
ejpam-6324	467	30	soft	soft	ADJ
ejpam-6324	467	31	normal	normal	ADJ
ejpam-6324	467	32	and	and	CCONJ
ejpam-6324	467	33	quadripartitioned	quadripartitione	VERB
ejpam-6324	467	34	neutrosophic	neutrosophic	ADJ
ejpam-6324	467	35	soft	soft	ADJ
ejpam-6324	467	36	t1	t1	NOUN
ejpam-6324	467	37	−	−	NOUN
ejpam-6324	467	38	space	space	NOUN
ejpam-6324	467	39	.	.	PUNCT
ejpam-6324	468	1	theorem	theorem	ADJ
ejpam-6324	468	2	7	7	NUM
ejpam-6324	468	3	.	.	PUNCT
ejpam-6324	469	1	let	let	AUX
ejpam-6324	469	2	(	(	PUNCT
ejpam-6324	469	3	x	x	NOUN
ejpam-6324	469	4	,	,	PUNCT
ejpam-6324	469	5	τ	τ	PROPN
ejpam-6324	469	6	,	,	PUNCT
ejpam-6324	469	7	é	é	PROPN
ejpam-6324	469	8	)	)	PUNCT
ejpam-6324	469	9	be	be	VERB
ejpam-6324	469	10	a	a	DET
ejpam-6324	469	11	quadri	quadri	NOUN
ejpam-6324	469	12	-	-	PUNCT
ejpam-6324	469	13	partitioned	partition	VERB
ejpam-6324	469	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	469	15	soft	soft	ADJ
ejpam-6324	469	16	topological	topological	ADJ
ejpam-6324	469	17	space	space	NOUN
ejpam-6324	469	18	over	over	ADP
ejpam-6324	469	19	x.	x.	NOUN
ejpam-6324	469	20	then	then	ADV
ejpam-6324	469	21	,	,	PUNCT
ejpam-6324	469	22	(	(	PUNCT
ejpam-6324	469	23	x	x	X
ejpam-6324	469	24	,	,	PUNCT
ejpam-6324	469	25	τ	τ	PROPN
ejpam-6324	469	26	,	,	PUNCT
ejpam-6324	469	27	é	é	PROPN
ejpam-6324	469	28	)	)	PUNCT
ejpam-6324	469	29	is	be	AUX
ejpam-6324	469	30	said	say	VERB
ejpam-6324	469	31	to	to	PART
ejpam-6324	469	32	be	be	AUX
ejpam-6324	469	33	quadri	quadri	NOUN
ejpam-6324	469	34	-	-	PUNCT
ejpam-6324	469	35	partitioned	partition	VERB
ejpam-6324	469	36	neutrosophic	neutrosophic	ADJ
ejpam-6324	469	37	soft	soft	ADJ
ejpam-6324	469	38	t4	t4	PROPN
ejpam-6324	469	39	−	−	PROPN
ejpam-6324	469	40	space	space	NOUN
ejpam-6324	469	41	if	if	SCONJ
ejpam-6324	469	42	and	and	CCONJ
ejpam-6324	469	43	only	only	ADV
ejpam-6324	469	44	if	if	SCONJ
ejpam-6324	469	45	,	,	PUNCT
ejpam-6324	469	46	for	for	ADP
ejpam-6324	469	47	each	each	DET
ejpam-6324	469	48	quadri	quadri	NOUN
ejpam-6324	469	49	-	-	PUNCT
ejpam-6324	469	50	partitioned	partition	VERB
ejpam-6324	469	51	neutrosophic	neutrosophic	ADJ
ejpam-6324	469	52	soft	soft	ADJ
ejpam-6324	469	53	closed	closed	ADJ
ejpam-6324	469	54	set	set	NOUN
ejpam-6324	469	55	(	(	PUNCT
ejpam-6324	469	56	f̃	f̃	PROPN
ejpam-6324	469	57	,	,	PUNCT
ejpam-6324	469	58	é	é	PROPN
ejpam-6324	469	59	)	)	PUNCT
ejpam-6324	469	60	and	and	CCONJ
ejpam-6324	469	61	quadripartitioned	quadripartitione	VERB
ejpam-6324	469	62	neutrosophic	neutrosophic	ADJ
ejpam-6324	469	63	soft	soft	ADJ
ejpam-6324	469	64	open	open	ADJ
ejpam-6324	469	65	set	set	NOUN
ejpam-6324	469	66	(	(	PUNCT
ejpam-6324	469	67	g̃	g̃	PROPN
ejpam-6324	469	68	,	,	PUNCT
ejpam-6324	469	69	é	é	PROPN
ejpam-6324	469	70	)	)	PUNCT
ejpam-6324	469	71	with	with	ADP
ejpam-6324	469	72	(	(	PUNCT
ejpam-6324	469	73	f̃	f̃	PROPN
ejpam-6324	469	74	,	,	PUNCT
ejpam-6324	469	75	é	é	PROPN
ejpam-6324	469	76	)	)	PUNCT
ejpam-6324	469	77	⊂	⊂	PROPN
ejpam-6324	469	78	(	(	PUNCT
ejpam-6324	469	79	g̃	g̃	PROPN
ejpam-6324	469	80	,	,	PUNCT
ejpam-6324	469	81	é	é	PROPN
ejpam-6324	469	82	)	)	PUNCT
ejpam-6324	469	83	,	,	PUNCT
ejpam-6324	469	84	there	there	PRON
ejpam-6324	469	85	exist	exist	VERB
ejpam-6324	469	86	a	a	DET
ejpam-6324	469	87	quadripartitioned	quadripartitioned	ADJ
ejpam-6324	469	88	neutrosophic	neutrosophic	ADJ
ejpam-6324	469	89	soft	soft	ADJ
ejpam-6324	469	90	open	open	ADJ
ejpam-6324	469	91	set	set	NOUN
ejpam-6324	469	92	(	(	PUNCT
ejpam-6324	469	93	d̃	d̃	PROPN
ejpam-6324	469	94	,	,	PUNCT
ejpam-6324	469	95	é	é	PROPN
ejpam-6324	469	96	)	)	PUNCT
ejpam-6324	470	1	such	such	ADJ
ejpam-6324	470	2	that	that	SCONJ
ejpam-6324	470	3	(	(	PUNCT
ejpam-6324	470	4	f̃	f̃	PROPN
ejpam-6324	470	5	,	,	PUNCT
ejpam-6324	470	6	é	é	PROPN
ejpam-6324	470	7	)	)	PUNCT
ejpam-6324	470	8	⊂	⊂	PROPN
ejpam-6324	470	9	(	(	PUNCT
ejpam-6324	470	10	d̃	d̃	PROPN
ejpam-6324	470	11	,	,	PUNCT
ejpam-6324	470	12	é	é	PROPN
ejpam-6324	470	13	)	)	PUNCT
ejpam-6324	470	14	⊂	⊂	PROPN
ejpam-6324	470	15	(	(	PUNCT
ejpam-6324	470	16	d̃	d̃	PROPN
ejpam-6324	470	17	,	,	PUNCT
ejpam-6324	470	18	é	é	PROPN
ejpam-6324	470	19	)	)	PUNCT
ejpam-6324	470	20	⊂	⊂	PROPN
ejpam-6324	470	21	(	(	PUNCT
ejpam-6324	470	22	g̃	g̃	PROPN
ejpam-6324	470	23	,	,	PUNCT
ejpam-6324	470	24	é	é	PROPN
ejpam-6324	470	25	)	)	PUNCT
ejpam-6324	470	26	.	.	PUNCT
ejpam-6324	471	1	proof	proof	NOUN
ejpam-6324	471	2	.	.	PUNCT
ejpam-6324	472	1	let	let	VERB
ejpam-6324	472	2	(	(	PUNCT
ejpam-6324	472	3	x	x	NOUN
ejpam-6324	472	4	,	,	PUNCT
ejpam-6324	472	5	τ	τ	PROPN
ejpam-6324	472	6	,	,	PUNCT
ejpam-6324	472	7	é	é	PROPN
ejpam-6324	472	8	)	)	PUNCT
ejpam-6324	472	9	be	be	VERB
ejpam-6324	472	10	a	a	DET
ejpam-6324	472	11	quadri	quadri	NOUN
ejpam-6324	472	12	-	-	PUNCT
ejpam-6324	472	13	partitioned	partition	VERB
ejpam-6324	472	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	472	15	soft	soft	ADJ
ejpam-6324	472	16	t1	t1	NOUN
ejpam-6324	472	17	−	−	NOUN
ejpam-6324	472	18	space	space	NOUN
ejpam-6324	472	19	,	,	PUNCT
ejpam-6324	472	20	(	(	PUNCT
ejpam-6324	472	21	f̃	f̃	PROPN
ejpam-6324	472	22	,	,	PUNCT
ejpam-6324	472	23	é	é	PROPN
ejpam-6324	472	24	)	)	PUNCT
ejpam-6324	472	25	be	be	VERB
ejpam-6324	472	26	a	a	DET
ejpam-6324	472	27	quadri	quadri	NOUN
ejpam-6324	472	28	-	-	PUNCT
ejpam-6324	472	29	partitioned	partition	VERB
ejpam-6324	472	30	neutrosophic	neutrosophic	ADJ
ejpam-6324	472	31	soft	soft	ADJ
ejpam-6324	472	32	closed	closed	ADJ
ejpam-6324	472	33	set	set	NOUN
ejpam-6324	472	34	,	,	PUNCT
ejpam-6324	472	35	and	and	CCONJ
ejpam-6324	472	36	(	(	PUNCT
ejpam-6324	472	37	f̃	f̃	PROPN
ejpam-6324	472	38	,	,	PUNCT
ejpam-6324	472	39	é	é	PROPN
ejpam-6324	472	40	)	)	PUNCT
ejpam-6324	473	1	⊂	⊂	PROPN
ejpam-6324	473	2	(	(	PUNCT
ejpam-6324	473	3	g̃	g̃	PROPN
ejpam-6324	473	4	,	,	PUNCT
ejpam-6324	473	5	é	é	PROPN
ejpam-6324	473	6	)	)	PUNCT
ejpam-6324	473	7	∈	∈	PROPN
ejpam-6324	473	8	τ	τ	X
ejpam-6324	473	9	.	.	PUNCT
ejpam-6324	474	1	then	then	ADV
ejpam-6324	474	2	,	,	PUNCT
ejpam-6324	474	3	(	(	PUNCT
ejpam-6324	474	4	g̃	g̃	PROPN
ejpam-6324	474	5	,	,	PUNCT
ejpam-6324	474	6	é	é	PROPN
ejpam-6324	474	7	)	)	PUNCT
ejpam-6324	474	8	is	be	AUX
ejpam-6324	474	9	a	a	DET
ejpam-6324	474	10	quadri	quadri	NOUN
ejpam-6324	474	11	-	-	PUNCT
ejpam-6324	474	12	partitioned	partition	VERB
ejpam-6324	474	13	neutrosophic	neutrosophic	ADJ
ejpam-6324	474	14	soft	soft	ADJ
ejpam-6324	474	15	closed	closed	ADJ
ejpam-6324	474	16	set	set	VERB
ejpam-6324	474	17	and	and	CCONJ
ejpam-6324	474	18	(	(	PUNCT
ejpam-6324	474	19	f̃	f̃	PROPN
ejpam-6324	474	20	,	,	PUNCT
ejpam-6324	474	21	é)∩(g̃	é)∩(g̃	NOUN
ejpam-6324	474	22	,	,	PUNCT
ejpam-6324	474	23	é)c	é)c	ADP
ejpam-6324	474	24	=	=	SYM
ejpam-6324	474	25	0(x	0(x	NOUN
ejpam-6324	474	26	,	,	PUNCT
ejpam-6324	474	27	é	é	PROPN
ejpam-6324	474	28	)	)	PUNCT
ejpam-6324	474	29	.	.	PUNCT
ejpam-6324	475	1	since	since	SCONJ
ejpam-6324	475	2	(	(	PUNCT
ejpam-6324	475	3	x	x	X
ejpam-6324	475	4	,	,	PUNCT
ejpam-6324	475	5	τ	τ	PROPN
ejpam-6324	475	6	,	,	PUNCT
ejpam-6324	475	7	é	é	PROPN
ejpam-6324	475	8	)	)	PUNCT
ejpam-6324	475	9	is	be	AUX
ejpam-6324	475	10	a	a	DET
ejpam-6324	475	11	quadri	quadri	NOUN
ejpam-6324	475	12	-	-	PUNCT
ejpam-6324	475	13	partitioned	partition	VERB
ejpam-6324	475	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	475	15	soft	soft	ADJ
ejpam-6324	475	16	t4	t4	PROPN
ejpam-6324	475	17	−	−	PROPN
ejpam-6324	475	18	space	space	NOUN
ejpam-6324	475	19	,	,	PUNCT
ejpam-6324	475	20	there	there	PRON
ejpam-6324	475	21	exist	exist	VERB
ejpam-6324	475	22	quadripartitioned	quadripartitione	VERB
ejpam-6324	475	23	neutrosophic	neutrosophic	ADJ
ejpam-6324	475	24	soft	soft	ADJ
ejpam-6324	475	25	open	open	ADJ
ejpam-6324	475	26	sets	set	NOUN
ejpam-6324	475	27	(	(	PUNCT
ejpam-6324	475	28	d̃1	d̃1	PROPN
ejpam-6324	475	29	,	,	PUNCT
ejpam-6324	475	30	é	é	PROPN
ejpam-6324	475	31	)	)	PUNCT
ejpam-6324	475	32	,	,	PUNCT
ejpam-6324	475	33	(	(	PUNCT
ejpam-6324	475	34	d̃2	d̃2	PROPN
ejpam-6324	475	35	,	,	PUNCT
ejpam-6324	475	36	é	é	PROPN
ejpam-6324	475	37	)	)	PUNCT
ejpam-6324	475	38	such	such	ADJ
ejpam-6324	475	39	that	that	SCONJ
ejpam-6324	475	40	(	(	PUNCT
ejpam-6324	475	41	f̃	f̃	PROPN
ejpam-6324	475	42	,	,	PUNCT
ejpam-6324	475	43	é	é	PROPN
ejpam-6324	475	44	)	)	PUNCT
ejpam-6324	475	45	⊂	⊂	PROPN
ejpam-6324	475	46	(	(	PUNCT
ejpam-6324	475	47	d̃1	d̃1	PROPN
ejpam-6324	475	48	,	,	PUNCT
ejpam-6324	475	49	é	é	PROPN
ejpam-6324	475	50	)	)	PUNCT
ejpam-6324	475	51	and	and	CCONJ
ejpam-6324	475	52	(	(	PUNCT
ejpam-6324	475	53	g̃	g̃	PROPN
ejpam-6324	475	54	,	,	PUNCT
ejpam-6324	475	55	é)c	é)c	ADP
ejpam-6324	475	56	⊂	⊂	PROPN
ejpam-6324	475	57	(	(	PUNCT
ejpam-6324	475	58	d̃2	d̃2	PROPN
ejpam-6324	475	59	,	,	PUNCT
ejpam-6324	475	60	é	é	PROPN
ejpam-6324	475	61	)	)	PUNCT
ejpam-6324	475	62	and	and	CCONJ
ejpam-6324	475	63	(	(	PUNCT
ejpam-6324	475	64	d̃1	d̃1	PROPN
ejpam-6324	475	65	,	,	PUNCT
ejpam-6324	475	66	é	é	PROPN
ejpam-6324	475	67	)	)	PUNCT
ejpam-6324	475	68	∩	∩	NOUN
ejpam-6324	475	69	(	(	PUNCT
ejpam-6324	475	70	d̃2	d̃2	PROPN
ejpam-6324	475	71	,	,	PUNCT
ejpam-6324	475	72	é	é	PROPN
ejpam-6324	475	73	)	)	PUNCT
ejpam-6324	475	74	=	=	SYM
ejpam-6324	475	75	0(x	0(x	NOUN
ejpam-6324	475	76	,	,	PUNCT
ejpam-6324	475	77	é	é	PROPN
ejpam-6324	475	78	)	)	PUNCT
ejpam-6324	475	79	.	.	PUNCT
ejpam-6324	476	1	this	this	PRON
ejpam-6324	476	2	implies	imply	VERB
ejpam-6324	476	3	that	that	SCONJ
ejpam-6324	476	4	(	(	PUNCT
ejpam-6324	476	5	f̃	f̃	PROPN
ejpam-6324	476	6	,	,	PUNCT
ejpam-6324	476	7	é	é	PROPN
ejpam-6324	476	8	)	)	PUNCT
ejpam-6324	476	9	⊂	⊂	PROPN
ejpam-6324	476	10	(	(	PUNCT
ejpam-6324	476	11	d̃	d̃	PROPN
ejpam-6324	476	12	,	,	PUNCT
ejpam-6324	476	13	é	é	PROPN
ejpam-6324	476	14	)	)	PUNCT
ejpam-6324	476	15	⊂	⊂	PROPN
ejpam-6324	476	16	(	(	PUNCT
ejpam-6324	476	17	d̃	d̃	PROPN
ejpam-6324	476	18	,	,	PUNCT
ejpam-6324	476	19	é)c	é)c	ADP
ejpam-6324	476	20	⊂	⊂	PROPN
ejpam-6324	476	21	(	(	PUNCT
ejpam-6324	476	22	g̃	g̃	PROPN
ejpam-6324	476	23	,	,	PUNCT
ejpam-6324	476	24	é	é	PROPN
ejpam-6324	476	25	)	)	PUNCT
ejpam-6324	476	26	.	.	PUNCT
ejpam-6324	477	1	so	so	ADV
ejpam-6324	477	2	(	(	PUNCT
ejpam-6324	477	3	d̃	d̃	PROPN
ejpam-6324	477	4	,	,	PUNCT
ejpam-6324	477	5	é)c	é)c	X
ejpam-6324	477	6	is	be	AUX
ejpam-6324	477	7	a	a	DET
ejpam-6324	477	8	quadri	quadri	NOUN
ejpam-6324	477	9	-	-	PUNCT
ejpam-6324	477	10	partitioned	partition	VERB
ejpam-6324	477	11	neutrosophic	neutrosophic	ADJ
ejpam-6324	477	12	soft	soft	ADJ
ejpam-6324	477	13	closed	closed	ADJ
ejpam-6324	477	14	set	set	VERB
ejpam-6324	477	15	and	and	CCONJ
ejpam-6324	477	16	(	(	PUNCT
ejpam-6324	477	17	d̃1	d̃1	PROPN
ejpam-6324	477	18	,	,	PUNCT
ejpam-6324	477	19	é	é	PROPN
ejpam-6324	477	20	)	)	PUNCT
ejpam-6324	478	1	⊂	⊂	PROPN
ejpam-6324	478	2	(	(	PUNCT
ejpam-6324	478	3	d̃2	d̃2	PROPN
ejpam-6324	478	4	,	,	PUNCT
ejpam-6324	478	5	é	é	PROPN
ejpam-6324	478	6	)	)	PUNCT
ejpam-6324	478	7	is	be	AUX
ejpam-6324	478	8	satisfied	satisfied	ADJ
ejpam-6324	478	9	.	.	PUNCT
ejpam-6324	479	1	thus	thus	ADV
ejpam-6324	479	2	(	(	PUNCT
ejpam-6324	479	3	f̃	f̃	PROPN
ejpam-6324	479	4	,	,	PUNCT
ejpam-6324	479	5	é	é	PROPN
ejpam-6324	479	6	)	)	PUNCT
ejpam-6324	479	7	⊂	⊂	PROPN
ejpam-6324	479	8	(	(	PUNCT
ejpam-6324	479	9	d̃1	d̃1	PROPN
ejpam-6324	479	10	,	,	PUNCT
ejpam-6324	479	11	é	é	PROPN
ejpam-6324	479	12	)	)	PUNCT
ejpam-6324	479	13	⊂	⊂	PROPN
ejpam-6324	479	14	(	(	PUNCT
ejpam-6324	479	15	d̃1	d̃1	PROPN
ejpam-6324	479	16	,	,	PUNCT
ejpam-6324	479	17	é	é	PROPN
ejpam-6324	479	18	)	)	PUNCT
ejpam-6324	479	19	⊂	⊂	PROPN
ejpam-6324	479	20	(	(	PUNCT
ejpam-6324	479	21	g̃	g̃	PROPN
ejpam-6324	479	22	,	,	PUNCT
ejpam-6324	479	23	é	é	PROPN
ejpam-6324	479	24	)	)	PUNCT
ejpam-6324	479	25	.	.	PUNCT
ejpam-6324	479	26	is	be	AUX
ejpam-6324	479	27	obtained	obtain	VERB
ejpam-6324	479	28	.	.	PUNCT
ejpam-6324	480	1	conversely	conversely	ADV
ejpam-6324	480	2	let	let	VERB
ejpam-6324	480	3	(	(	PUNCT
ejpam-6324	480	4	f̃1	f̃1	PROPN
ejpam-6324	480	5	,	,	PUNCT
ejpam-6324	480	6	é	é	PROPN
ejpam-6324	480	7	)	)	PUNCT
ejpam-6324	480	8	,	,	PUNCT
ejpam-6324	480	9	(	(	PUNCT
ejpam-6324	480	10	f̃2	f̃2	PROPN
ejpam-6324	480	11	,	,	PUNCT
ejpam-6324	480	12	é	é	PROPN
ejpam-6324	480	13	)	)	PUNCT
ejpam-6324	480	14	be	be	VERB
ejpam-6324	480	15	two	two	NUM
ejpam-6324	480	16	disjoint	disjoint	NOUN
ejpam-6324	480	17	quadri	quadri	NOUN
ejpam-6324	480	18	-	-	PUNCT
ejpam-6324	480	19	partitioned	partition	VERB
ejpam-6324	480	20	neutrosophic	neutrosophic	ADJ
ejpam-6324	480	21	soft	soft	ADJ
ejpam-6324	480	22	closed	closed	ADJ
ejpam-6324	480	23	sets	set	NOUN
ejpam-6324	480	24	.	.	PUNCT
ejpam-6324	481	1	then	then	ADV
ejpam-6324	481	2	(	(	PUNCT
ejpam-6324	481	3	f̃1	f̃1	PROPN
ejpam-6324	481	4	,	,	PUNCT
ejpam-6324	481	5	é	é	PROPN
ejpam-6324	481	6	)	)	PUNCT
ejpam-6324	482	1	⊂	⊂	PROPN
ejpam-6324	482	2	(	(	PUNCT
ejpam-6324	482	3	f̃2	f̃2	PROPN
ejpam-6324	482	4	,	,	PUNCT
ejpam-6324	482	5	é)c	é)c	NOUN
ejpam-6324	482	6	.	.	PROPN
ejpam-6324	482	7	from	from	ADP
ejpam-6324	482	8	the	the	DET
ejpam-6324	482	9	condition	condition	NOUN
ejpam-6324	482	10	of	of	ADP
ejpam-6324	482	11	theorem	theorem	ADJ
ejpam-6324	482	12	,	,	PUNCT
ejpam-6324	482	13	there	there	PRON
ejpam-6324	482	14	exist	exist	VERB
ejpam-6324	482	15	a	a	DET
ejpam-6324	482	16	quadri	quadri	NOUN
ejpam-6324	482	17	-	-	PUNCT
ejpam-6324	482	18	partitioned	partition	VERB
ejpam-6324	482	19	neutrosophic	neutrosophic	ADJ
ejpam-6324	482	20	soft	soft	ADJ
ejpam-6324	482	21	open	open	ADJ
ejpam-6324	482	22	set	set	NOUN
ejpam-6324	482	23	(	(	PUNCT
ejpam-6324	482	24	d̃	d̃	PROPN
ejpam-6324	482	25	,	,	PUNCT
ejpam-6324	482	26	é	é	PROPN
ejpam-6324	482	27	)	)	PUNCT
ejpam-6324	482	28	such	such	ADJ
ejpam-6324	482	29	that	that	SCONJ
ejpam-6324	482	30	(	(	PUNCT
ejpam-6324	482	31	f̃1	f̃1	PROPN
ejpam-6324	482	32	,	,	PUNCT
ejpam-6324	482	33	é	é	PROPN
ejpam-6324	482	34	)	)	PUNCT
ejpam-6324	482	35	⊂	⊂	PROPN
ejpam-6324	482	36	(	(	PUNCT
ejpam-6324	482	37	d̃	d̃	PROPN
ejpam-6324	482	38	,	,	PUNCT
ejpam-6324	482	39	é	é	PROPN
ejpam-6324	482	40	)	)	PUNCT
ejpam-6324	482	41	⊂	⊂	PROPN
ejpam-6324	482	42	(	(	PUNCT
ejpam-6324	482	43	g̃	g̃	PROPN
ejpam-6324	482	44	,	,	PUNCT
ejpam-6324	482	45	é	é	PROPN
ejpam-6324	482	46	)	)	PUNCT
ejpam-6324	482	47	⊂	⊂	PROPN
ejpam-6324	482	48	(	(	PUNCT
ejpam-6324	482	49	f̃	f̃	PROPN
ejpam-6324	482	50	,	,	PUNCT
ejpam-6324	482	51	é)c	é)c	PROPN
ejpam-6324	482	52	.	.	PROPN
ejpam-6324	482	53	m.	m.	PROPN
ejpam-6324	482	54	m.	m.	PROPN
ejpam-6324	482	55	saeed	saeed	PROPN
ejpam-6324	482	56	et	et	PROPN
ejpam-6324	482	57	al	al	PROPN
ejpam-6324	482	58	.	.	PUNCT
ejpam-6324	482	59	/	/	SYM
ejpam-6324	482	60	eur	eur	PROPN
ejpam-6324	482	61	.	.	PUNCT
ejpam-6324	483	1	j.	j.	PROPN
ejpam-6324	483	2	pure	pure	PROPN
ejpam-6324	483	3	appl	appl	PROPN
ejpam-6324	483	4	.	.	PROPN
ejpam-6324	483	5	math	math	PROPN
ejpam-6324	483	6	,	,	PUNCT
ejpam-6324	483	7	18	18	NUM
ejpam-6324	483	8	(	(	PUNCT
ejpam-6324	483	9	3	3	NUM
ejpam-6324	483	10	)	)	PUNCT
ejpam-6324	483	11	(	(	PUNCT
ejpam-6324	483	12	2025	2025	NUM
ejpam-6324	483	13	)	)	PUNCT
ejpam-6324	483	14	,	,	PUNCT
ejpam-6324	483	15	6324	6324	NUM
ejpam-6324	483	16	21	21	NUM
ejpam-6324	483	17	of	of	ADP
ejpam-6324	483	18	25	25	NUM
ejpam-6324	483	19	thus	thus	ADV
ejpam-6324	483	20	,	,	PUNCT
ejpam-6324	483	21	(	(	PUNCT
ejpam-6324	483	22	d̃	d̃	PROPN
ejpam-6324	483	23	,	,	PUNCT
ejpam-6324	483	24	é	é	PROPN
ejpam-6324	483	25	)	)	PUNCT
ejpam-6324	483	26	,	,	PUNCT
ejpam-6324	483	27	(	(	PUNCT
ejpam-6324	483	28	(	(	PUNCT
ejpam-6324	483	29	d̃	d̃	PROPN
ejpam-6324	483	30	,	,	PUNCT
ejpam-6324	483	31	é))c	é))c	PROPN
ejpam-6324	483	32	are	be	AUX
ejpam-6324	483	33	quadri	quadri	NOUN
ejpam-6324	483	34	-	-	PUNCT
ejpam-6324	483	35	partitioned	partition	VERB
ejpam-6324	483	36	neutrosophic	neutrosophic	ADJ
ejpam-6324	483	37	soft	soft	ADJ
ejpam-6324	483	38	open	open	ADJ
ejpam-6324	483	39	sets	set	NOUN
ejpam-6324	483	40	and	and	CCONJ
ejpam-6324	483	41	(	(	PUNCT
ejpam-6324	483	42	f̃1	f̃1	PROPN
ejpam-6324	483	43	,	,	PUNCT
ejpam-6324	483	44	é	é	PROPN
ejpam-6324	483	45	)	)	PUNCT
ejpam-6324	484	1	⊂	⊂	PROPN
ejpam-6324	484	2	(	(	PUNCT
ejpam-6324	484	3	d̃	d̃	PROPN
ejpam-6324	484	4	,	,	PUNCT
ejpam-6324	484	5	é	é	PROPN
ejpam-6324	484	6	)	)	PUNCT
ejpam-6324	484	7	,	,	PUNCT
ejpam-6324	484	8	(	(	PUNCT
ejpam-6324	484	9	f̃2	f̃2	PROPN
ejpam-6324	484	10	,	,	PUNCT
ejpam-6324	484	11	é	é	PROPN
ejpam-6324	484	12	)	)	PUNCT
ejpam-6324	484	13	⊂	⊂	PROPN
ejpam-6324	484	14	(	(	PUNCT
ejpam-6324	484	15	(	(	PUNCT
ejpam-6324	484	16	d̃	d̃	PROPN
ejpam-6324	484	17	,	,	PUNCT
ejpam-6324	484	18	é))c	é))c	PROPN
ejpam-6324	484	19	and	and	CCONJ
ejpam-6324	484	20	(	(	PUNCT
ejpam-6324	484	21	d̃	d̃	PROPN
ejpam-6324	484	22	,	,	PUNCT
ejpam-6324	484	23	é	é	PROPN
ejpam-6324	484	24	)	)	PUNCT
ejpam-6324	484	25	∩	∩	NOUN
ejpam-6324	484	26	(	(	PUNCT
ejpam-6324	484	27	(	(	PUNCT
ejpam-6324	484	28	d̃	d̃	PROPN
ejpam-6324	484	29	,	,	PUNCT
ejpam-6324	484	30	é))c	é))c	PROPN
ejpam-6324	484	31	=	=	SYM
ejpam-6324	484	32	0(x	0(x	NOUN
ejpam-6324	484	33	,	,	PUNCT
ejpam-6324	484	34	é	é	PROPN
ejpam-6324	484	35	)	)	PUNCT
ejpam-6324	484	36	are	be	AUX
ejpam-6324	484	37	obtained	obtain	VERB
ejpam-6324	484	38	.	.	PUNCT
ejpam-6324	485	1	hence	hence	ADV
ejpam-6324	485	2	,	,	PUNCT
ejpam-6324	485	3	(	(	PUNCT
ejpam-6324	485	4	x	x	X
ejpam-6324	485	5	,	,	PUNCT
ejpam-6324	485	6	τ	τ	PROPN
ejpam-6324	485	7	,	,	PUNCT
ejpam-6324	485	8	é	é	PROPN
ejpam-6324	485	9	)	)	PUNCT
ejpam-6324	485	10	is	be	AUX
ejpam-6324	485	11	a	a	DET
ejpam-6324	485	12	quadri	quadri	NOUN
ejpam-6324	485	13	-	-	PUNCT
ejpam-6324	485	14	partitioned	partition	VERB
ejpam-6324	485	15	neutrosophic	neutrosophic	ADJ
ejpam-6324	485	16	soft	soft	ADJ
ejpam-6324	485	17	t4	t4	PROPN
ejpam-6324	485	18	−	−	PROPN
ejpam-6324	485	19	space	space	NOUN
ejpam-6324	485	20	.	.	PUNCT
ejpam-6324	486	1	definition	definition	NOUN
ejpam-6324	486	2	31	31	NUM
ejpam-6324	486	3	.	.	PUNCT
ejpam-6324	487	1	let	let	VERB
ejpam-6324	487	2	(	(	PUNCT
ejpam-6324	487	3	x	x	NOUN
ejpam-6324	487	4	,	,	PUNCT
ejpam-6324	487	5	τ	τ	PROPN
ejpam-6324	487	6	,	,	PUNCT
ejpam-6324	487	7	é	é	PROPN
ejpam-6324	487	8	)	)	PUNCT
ejpam-6324	487	9	be	be	VERB
ejpam-6324	487	10	a	a	DET
ejpam-6324	487	11	quadri	quadri	NOUN
ejpam-6324	487	12	-	-	PUNCT
ejpam-6324	487	13	partitioned	partition	VERB
ejpam-6324	487	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	487	15	soft	soft	ADJ
ejpam-6324	487	16	topological	topological	ADJ
ejpam-6324	487	17	space	space	NOUN
ejpam-6324	487	18	over	over	ADP
ejpam-6324	487	19	x	x	PUNCT
ejpam-6324	487	20	and	and	CCONJ
ejpam-6324	487	21	(	(	PUNCT
ejpam-6324	487	22	f̃	f̃	PROPN
ejpam-6324	487	23	,	,	PUNCT
ejpam-6324	487	24	é	é	PROPN
ejpam-6324	487	25	)	)	PUNCT
ejpam-6324	487	26	be	be	VERB
ejpam-6324	487	27	an	an	DET
ejpam-6324	487	28	arbitrary	arbitrary	ADJ
ejpam-6324	487	29	quadri	quadri	NOUN
ejpam-6324	487	30	-	-	PUNCT
ejpam-6324	487	31	partitioned	partition	VERB
ejpam-6324	487	32	neutrosophic	neutrosophic	ADJ
ejpam-6324	487	33	soft	soft	ADJ
ejpam-6324	487	34	set	set	NOUN
ejpam-6324	487	35	.	.	PUNCT
ejpam-6324	488	1	then	then	ADV
ejpam-6324	488	2	τ	τ	PROPN
ejpam-6324	488	3	=	=	SYM
ejpam-6324	488	4	{	{	PUNCT
ejpam-6324	488	5	(	(	PUNCT
ejpam-6324	488	6	f̃	f̃	PROPN
ejpam-6324	488	7	,	,	PUNCT
ejpam-6324	488	8	é	é	PROPN
ejpam-6324	488	9	)	)	PUNCT
ejpam-6324	488	10	,	,	PUNCT
ejpam-6324	488	11	(	(	PUNCT
ejpam-6324	488	12	h̃	h̃	PROPN
ejpam-6324	488	13	,	,	PUNCT
ejpam-6324	488	14	é	é	PROPN
ejpam-6324	488	15	)	)	PUNCT
ejpam-6324	488	16	:	:	PUNCT
ejpam-6324	488	17	(	(	PUNCT
ejpam-6324	488	18	h̃	h̃	PROPN
ejpam-6324	488	19	,	,	PUNCT
ejpam-6324	488	20	é	é	PROPN
ejpam-6324	488	21	)	)	PUNCT
ejpam-6324	488	22	∈	∈	PROPN
ejpam-6324	488	23	τ	τ	PROPN
ejpam-6324	488	24	}	}	PUNCT
ejpam-6324	488	25	is	be	AUX
ejpam-6324	488	26	said	say	VERB
ejpam-6324	488	27	to	to	PART
ejpam-6324	488	28	be	be	AUX
ejpam-6324	488	29	quadri	quadri	NOUN
ejpam-6324	488	30	-	-	PUNCT
ejpam-6324	488	31	partitioned	partition	VERB
ejpam-6324	488	32	neutrosophic	neutrosophic	ADJ
ejpam-6324	488	33	soft	soft	ADJ
ejpam-6324	488	34	topology	topology	NOUN
ejpam-6324	488	35	on	on	ADP
ejpam-6324	488	36	(	(	PUNCT
ejpam-6324	488	37	f̃	f̃	PROPN
ejpam-6324	488	38	,	,	PUNCT
ejpam-6324	488	39	é	é	PROPN
ejpam-6324	488	40	)	)	PUNCT
ejpam-6324	488	41	and	and	CCONJ
ejpam-6324	488	42	(	(	PUNCT
ejpam-6324	488	43	x	x	X
ejpam-6324	488	44	,	,	PUNCT
ejpam-6324	488	45	τ	τ	PROPN
ejpam-6324	488	46	,	,	PUNCT
ejpam-6324	488	47	é	é	PROPN
ejpam-6324	488	48	)	)	PUNCT
ejpam-6324	488	49	is	be	AUX
ejpam-6324	488	50	called	call	VERB
ejpam-6324	488	51	a	a	DET
ejpam-6324	488	52	quadri	quadri	NOUN
ejpam-6324	488	53	-	-	PUNCT
ejpam-6324	488	54	partitioned	partition	VERB
ejpam-6324	488	55	neutrosophic	neutrosophic	ADJ
ejpam-6324	488	56	soft	soft	ADJ
ejpam-6324	488	57	topological	topological	ADJ
ejpam-6324	488	58	subspace	subspace	NOUN
ejpam-6324	488	59	of	of	ADP
ejpam-6324	488	60	(	(	PUNCT
ejpam-6324	488	61	x	x	PROPN
ejpam-6324	488	62	,	,	PUNCT
ejpam-6324	488	63	τ	τ	PROPN
ejpam-6324	488	64	,	,	PUNCT
ejpam-6324	488	65	é	é	PROPN
ejpam-6324	488	66	)	)	PUNCT
ejpam-6324	488	67	.	.	PUNCT
ejpam-6324	489	1	theorem	theorem	ADJ
ejpam-6324	489	2	8	8	NUM
ejpam-6324	489	3	.	.	PUNCT
ejpam-6324	490	1	let	let	AUX
ejpam-6324	490	2	(	(	PUNCT
ejpam-6324	490	3	x	x	NOUN
ejpam-6324	490	4	,	,	PUNCT
ejpam-6324	490	5	τ	τ	PROPN
ejpam-6324	490	6	,	,	PUNCT
ejpam-6324	490	7	é	é	PROPN
ejpam-6324	490	8	)	)	PUNCT
ejpam-6324	490	9	be	be	VERB
ejpam-6324	490	10	a	a	DET
ejpam-6324	490	11	quadri	quadri	NOUN
ejpam-6324	490	12	-	-	PUNCT
ejpam-6324	490	13	partitioned	partition	VERB
ejpam-6324	490	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	490	15	soft	soft	ADJ
ejpam-6324	490	16	topological	topological	ADJ
ejpam-6324	490	17	space	space	NOUN
ejpam-6324	490	18	over	over	ADP
ejpam-6324	490	19	x.	x.	NOUN
ejpam-6324	491	1	if	if	SCONJ
ejpam-6324	491	2	(	(	PUNCT
ejpam-6324	491	3	x	x	NOUN
ejpam-6324	491	4	,	,	PUNCT
ejpam-6324	491	5	τ	τ	PROPN
ejpam-6324	491	6	,	,	PUNCT
ejpam-6324	491	7	é	é	PROPN
ejpam-6324	491	8	)	)	PUNCT
ejpam-6324	491	9	is	be	AUX
ejpam-6324	491	10	a	a	DET
ejpam-6324	491	11	quadri	quadri	NOUN
ejpam-6324	491	12	-	-	PUNCT
ejpam-6324	491	13	partitioned	partition	VERB
ejpam-6324	491	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	491	15	soft	soft	ADJ
ejpam-6324	491	16	ti−space	ti−space	NOUN
ejpam-6324	491	17	,	,	PUNCT
ejpam-6324	491	18	then	then	ADV
ejpam-6324	491	19	the	the	DET
ejpam-6324	491	20	quadripartitioned	quadripartitioned	ADJ
ejpam-6324	491	21	neutrosophic	neutrosophic	ADJ
ejpam-6324	491	22	soft	soft	ADJ
ejpam-6324	491	23	topological	topological	ADJ
ejpam-6324	491	24	subspace	subspace	NOUN
ejpam-6324	491	25	(	(	PUNCT
ejpam-6324	491	26	x	x	X
ejpam-6324	491	27	,	,	PUNCT
ejpam-6324	491	28	τ	τ	PROPN
ejpam-6324	491	29	,	,	PUNCT
ejpam-6324	491	30	é	é	PROPN
ejpam-6324	491	31	)	)	PUNCT
ejpam-6324	491	32	is	be	AUX
ejpam-6324	491	33	a	a	DET
ejpam-6324	491	34	quadri	quadri	NOUN
ejpam-6324	491	35	-	-	PUNCT
ejpam-6324	491	36	partitioned	partition	VERB
ejpam-6324	491	37	neutrosophic	neutrosophic	ADJ
ejpam-6324	491	38	soft	soft	ADJ
ejpam-6324	491	39	ti	ti	NOUN
ejpam-6324	491	40	−	−	NOUN
ejpam-6324	491	41	space	space	NOUN
ejpam-6324	491	42	for	for	ADP
ejpam-6324	491	43	i	i	PROPN
ejpam-6324	491	44	=	=	SYM
ejpam-6324	491	45	0	0	NUM
ejpam-6324	491	46	,	,	PUNCT
ejpam-6324	491	47	1	1	NUM
ejpam-6324	491	48	,	,	PUNCT
ejpam-6324	491	49	2	2	NUM
ejpam-6324	491	50	,	,	PUNCT
ejpam-6324	491	51	3	3	NUM
ejpam-6324	491	52	.	.	PUNCT
ejpam-6324	492	1	proof	proof	NOUN
ejpam-6324	492	2	.	.	PUNCT
ejpam-6324	493	1	let	let	VERB
ejpam-6324	493	2	(	(	PUNCT
ejpam-6324	493	3	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	493	4	)	)	PUNCT
ejpam-6324	493	5	)	)	PUNCT
ejpam-6324	493	6	,	,	PUNCT
ejpam-6324	493	7	(	(	PUNCT
ejpam-6324	493	8	y	y	PROPN
ejpam-6324	493	9	è′	è′	PROPN
ejpam-6324	493	10	(	(	PUNCT
ejpam-6324	493	11	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	493	12	)	)	PUNCT
ejpam-6324	493	13	)	)	PUNCT
ejpam-6324	494	1	∈	∈	PROPN
ejpam-6324	494	2	(	(	PUNCT
ejpam-6324	494	3	x	x	X
ejpam-6324	494	4	,	,	PUNCT
ejpam-6324	494	5	τ	τ	PROPN
ejpam-6324	494	6	,	,	PUNCT
ejpam-6324	494	7	é	é	PROPN
ejpam-6324	494	8	)	)	PUNCT
ejpam-6324	494	9	such	such	ADJ
ejpam-6324	494	10	that	that	SCONJ
ejpam-6324	494	11	(	(	PUNCT
ejpam-6324	494	12	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	494	13	)	)	PUNCT
ejpam-6324	494	14	)	)	PUNCT
ejpam-6324	494	15	,	,	PUNCT
ejpam-6324	494	16	(	(	PUNCT
ejpam-6324	494	17	y	y	PROPN
ejpam-6324	494	18	è′	è′	PROPN
ejpam-6324	494	19	(	(	PUNCT
ejpam-6324	494	20	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	494	21	)	)	PUNCT
ejpam-6324	494	22	)	)	PUNCT
ejpam-6324	495	1	=	=	PUNCT
ejpam-6324	495	2	0(x	0(x	NOUN
ejpam-6324	495	3	,	,	PUNCT
ejpam-6324	495	4	é	é	PROPN
ejpam-6324	495	5	)	)	PUNCT
ejpam-6324	495	6	.	.	PUNCT
ejpam-6324	496	1	thus	thus	ADV
ejpam-6324	496	2	,	,	PUNCT
ejpam-6324	496	3	there	there	PRON
ejpam-6324	496	4	exist	exist	VERB
ejpam-6324	496	5	quadri	quadri	NOUN
ejpam-6324	496	6	-	-	PUNCT
ejpam-6324	496	7	partitioned	partition	VERB
ejpam-6324	496	8	neutrosophic	neutrosophic	ADJ
ejpam-6324	496	9	soft	soft	ADJ
ejpam-6324	496	10	open	open	ADJ
ejpam-6324	496	11	sets	set	NOUN
ejpam-6324	496	12	(	(	PUNCT
ejpam-6324	496	13	f̃1	f̃1	PROPN
ejpam-6324	496	14	,	,	PUNCT
ejpam-6324	496	15	é	é	PROPN
ejpam-6324	496	16	)	)	PUNCT
ejpam-6324	496	17	and	and	CCONJ
ejpam-6324	496	18	(	(	PUNCT
ejpam-6324	496	19	f̃2	f̃2	PROPN
ejpam-6324	496	20	,	,	PUNCT
ejpam-6324	496	21	é	é	PROPN
ejpam-6324	496	22	)	)	PUNCT
ejpam-6324	496	23	satisfying	satisfy	VERB
ejpam-6324	496	24	the	the	DET
ejpam-6324	496	25	conditions	condition	NOUN
ejpam-6324	496	26	of	of	ADP
ejpam-6324	496	27	double	double	ADV
ejpam-6324	496	28	-	-	PUNCT
ejpam-6324	496	29	valued	value	VERB
ejpam-6324	496	30	neutrosophic	neutrosophic	ADJ
ejpam-6324	496	31	ti−space	ti−space	NOUN
ejpam-6324	496	32	such	such	ADJ
ejpam-6324	496	33	that	that	SCONJ
ejpam-6324	496	34	(	(	PUNCT
ejpam-6324	496	35	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	496	36	)	)	PUNCT
ejpam-6324	496	37	)	)	PUNCT
ejpam-6324	497	1	∈	∈	PROPN
ejpam-6324	497	2	(	(	PUNCT
ejpam-6324	497	3	f̃1	f̃1	PROPN
ejpam-6324	497	4	,	,	PUNCT
ejpam-6324	497	5	é	é	PROPN
ejpam-6324	497	6	)	)	PUNCT
ejpam-6324	497	7	and	and	CCONJ
ejpam-6324	497	8	(	(	PUNCT
ejpam-6324	497	9	yè	yè	PROPN
ejpam-6324	497	10	′	′	NUM
ejpam-6324	497	11	(	(	PUNCT
ejpam-6324	497	12	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	497	13	)	)	PUNCT
ejpam-6324	497	14	)	)	PUNCT
ejpam-6324	498	1	∈	∈	PROPN
ejpam-6324	498	2	(	(	PUNCT
ejpam-6324	498	3	f̃2	f̃2	PROPN
ejpam-6324	498	4	,	,	PUNCT
ejpam-6324	498	5	é	é	PROPN
ejpam-6324	498	6	)	)	PUNCT
ejpam-6324	498	7	.	.	PUNCT
ejpam-6324	499	1	then	then	ADV
ejpam-6324	499	2	(	(	PUNCT
ejpam-6324	499	3	xè(p1,p2,p3,p4	xè(p1,p2,p3,p4	PROPN
ejpam-6324	499	4	)	)	PUNCT
ejpam-6324	499	5	)	)	PUNCT
ejpam-6324	500	1	∈	∈	PROPN
ejpam-6324	500	2	(	(	PUNCT
ejpam-6324	500	3	f̃1	f̃1	PROPN
ejpam-6324	500	4	,	,	PUNCT
ejpam-6324	500	5	é	é	PROPN
ejpam-6324	500	6	)	)	PUNCT
ejpam-6324	500	7	∩	∩	NOUN
ejpam-6324	500	8	(	(	PUNCT
ejpam-6324	500	9	f̃	f̃	PROPN
ejpam-6324	500	10	,	,	PUNCT
ejpam-6324	500	11	é	é	PROPN
ejpam-6324	500	12	)	)	PUNCT
ejpam-6324	500	13	and	and	CCONJ
ejpam-6324	500	14	(	(	PUNCT
ejpam-6324	500	15	yè	yè	PROPN
ejpam-6324	500	16	′	′	NUM
ejpam-6324	500	17	(	(	PUNCT
ejpam-6324	500	18	p1,p2,p3,p4	p1,p2,p3,p4	PROPN
ejpam-6324	500	19	)	)	PUNCT
ejpam-6324	500	20	)	)	PUNCT
ejpam-6324	501	1	∈	∈	PROPN
ejpam-6324	501	2	(	(	PUNCT
ejpam-6324	501	3	f̃2	f̃2	PROPN
ejpam-6324	501	4	,	,	PUNCT
ejpam-6324	501	5	é	é	PROPN
ejpam-6324	501	6	)	)	PUNCT
ejpam-6324	501	7	∩	∩	NOUN
ejpam-6324	501	8	(	(	PUNCT
ejpam-6324	501	9	f̃	f̃	PROPN
ejpam-6324	501	10	,	,	PUNCT
ejpam-6324	501	11	é	é	PROPN
ejpam-6324	501	12	)	)	PUNCT
ejpam-6324	501	13	.	.	PUNCT
ejpam-6324	502	1	also	also	ADV
ejpam-6324	502	2	,	,	PUNCT
ejpam-6324	502	3	the	the	DET
ejpam-6324	502	4	quadri	quadri	NOUN
ejpam-6324	502	5	-	-	PUNCT
ejpam-6324	502	6	partitioned	partition	VERB
ejpam-6324	502	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	502	8	soft	soft	ADJ
ejpam-6324	502	9	ti	ti	NOUN
ejpam-6324	502	10	−	−	NOUN
ejpam-6324	502	11	space	space	NOUN
ejpam-6324	502	12	for	for	ADP
ejpam-6324	502	13	i	i	PROPN
ejpam-6324	502	14	=	=	SYM
ejpam-6324	502	15	0	0	NUM
ejpam-6324	502	16	,	,	PUNCT
ejpam-6324	502	17	1	1	NUM
ejpam-6324	502	18	,	,	PUNCT
ejpam-6324	502	19	2	2	NUM
ejpam-6324	502	20	,	,	PUNCT
ejpam-6324	502	21	3	3	NUM
ejpam-6324	502	22	.	.	X
ejpam-6324	502	23	theorem	theorem	NOUN
ejpam-6324	502	24	9	9	NUM
ejpam-6324	502	25	.	.	PUNCT
ejpam-6324	503	1	let	let	AUX
ejpam-6324	503	2	(	(	PUNCT
ejpam-6324	503	3	x	x	NOUN
ejpam-6324	503	4	,	,	PUNCT
ejpam-6324	503	5	τ	τ	PROPN
ejpam-6324	503	6	,	,	PUNCT
ejpam-6324	503	7	é	é	PROPN
ejpam-6324	503	8	)	)	PUNCT
ejpam-6324	503	9	be	be	VERB
ejpam-6324	503	10	a	a	DET
ejpam-6324	503	11	quadri	quadri	NOUN
ejpam-6324	503	12	-	-	PUNCT
ejpam-6324	503	13	partitioned	partition	VERB
ejpam-6324	503	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	503	15	soft	soft	ADJ
ejpam-6324	503	16	topological	topological	ADJ
ejpam-6324	503	17	space	space	NOUN
ejpam-6324	503	18	over	over	ADP
ejpam-6324	503	19	x.	x.	NOUN
ejpam-6324	504	1	if	if	SCONJ
ejpam-6324	504	2	(	(	PUNCT
ejpam-6324	504	3	x	x	NOUN
ejpam-6324	504	4	,	,	PUNCT
ejpam-6324	504	5	τ	τ	PROPN
ejpam-6324	504	6	,	,	PUNCT
ejpam-6324	504	7	é	é	PROPN
ejpam-6324	504	8	)	)	PUNCT
ejpam-6324	504	9	is	be	AUX
ejpam-6324	504	10	a	a	DET
ejpam-6324	504	11	quadri	quadri	NOUN
ejpam-6324	504	12	-	-	PUNCT
ejpam-6324	504	13	partitioned	partition	VERB
ejpam-6324	504	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	504	15	soft	soft	ADJ
ejpam-6324	504	16	t4	t4	PROPN
ejpam-6324	504	17	−	−	PROPN
ejpam-6324	504	18	space	space	NOUN
ejpam-6324	504	19	and	and	CCONJ
ejpam-6324	504	20	(	(	PUNCT
ejpam-6324	504	21	f̃	f̃	PROPN
ejpam-6324	504	22	,	,	PUNCT
ejpam-6324	504	23	é	é	PROPN
ejpam-6324	504	24	)	)	PUNCT
ejpam-6324	504	25	is	be	AUX
ejpam-6324	504	26	a	a	DET
ejpam-6324	504	27	quadri	quadri	NOUN
ejpam-6324	504	28	-	-	PUNCT
ejpam-6324	504	29	partitioned	partition	VERB
ejpam-6324	504	30	neutrosophic	neutrosophic	ADJ
ejpam-6324	504	31	soft	soft	ADJ
ejpam-6324	504	32	closed	closed	ADJ
ejpam-6324	504	33	set	set	VERB
ejpam-6324	504	34	in	in	ADP
ejpam-6324	504	35	(	(	PUNCT
ejpam-6324	504	36	x	x	NOUN
ejpam-6324	504	37	,	,	PUNCT
ejpam-6324	504	38	τ	τ	PROPN
ejpam-6324	504	39	,	,	PUNCT
ejpam-6324	504	40	é	é	PROPN
ejpam-6324	504	41	)	)	PUNCT
ejpam-6324	504	42	,	,	PUNCT
ejpam-6324	504	43	and	and	CCONJ
ejpam-6324	504	44	then	then	ADV
ejpam-6324	504	45	(	(	PUNCT
ejpam-6324	504	46	x	x	X
ejpam-6324	504	47	,	,	PUNCT
ejpam-6324	504	48	τ	τ	PROPN
ejpam-6324	504	49	,	,	PUNCT
ejpam-6324	504	50	é	é	PROPN
ejpam-6324	504	51	)	)	PUNCT
ejpam-6324	504	52	is	be	AUX
ejpam-6324	504	53	a	a	DET
ejpam-6324	504	54	quadri	quadri	NOUN
ejpam-6324	504	55	-	-	PUNCT
ejpam-6324	504	56	partitioned	partition	VERB
ejpam-6324	504	57	neutrosophic	neutrosophic	ADJ
ejpam-6324	504	58	soft	soft	ADJ
ejpam-6324	504	59	t4	t4	PROPN
ejpam-6324	504	60	−	−	PROPN
ejpam-6324	504	61	space	space	NOUN
ejpam-6324	504	62	.	.	PUNCT
ejpam-6324	505	1	proof	proof	NOUN
ejpam-6324	505	2	.	.	PUNCT
ejpam-6324	506	1	let	let	VERB
ejpam-6324	506	2	(	(	PUNCT
ejpam-6324	506	3	x	x	NOUN
ejpam-6324	506	4	,	,	PUNCT
ejpam-6324	506	5	τ	τ	PROPN
ejpam-6324	506	6	,	,	PUNCT
ejpam-6324	506	7	é	é	PROPN
ejpam-6324	506	8	)	)	PUNCT
ejpam-6324	506	9	is	be	AUX
ejpam-6324	506	10	a	a	DET
ejpam-6324	506	11	quadri	quadri	NOUN
ejpam-6324	506	12	-	-	PUNCT
ejpam-6324	506	13	partitioned	partition	VERB
ejpam-6324	506	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	506	15	soft	soft	ADJ
ejpam-6324	506	16	t4	t4	PROPN
ejpam-6324	506	17	−	−	PROPN
ejpam-6324	506	18	space	space	NOUN
ejpam-6324	506	19	and	and	CCONJ
ejpam-6324	506	20	(	(	PUNCT
ejpam-6324	506	21	f̃	f̃	PROPN
ejpam-6324	506	22	,	,	PUNCT
ejpam-6324	506	23	é	é	PROPN
ejpam-6324	506	24	)	)	PUNCT
ejpam-6324	506	25	is	be	AUX
ejpam-6324	506	26	a	a	DET
ejpam-6324	506	27	quadri	quadri	NOUN
ejpam-6324	506	28	-	-	PUNCT
ejpam-6324	506	29	partitioned	partition	VERB
ejpam-6324	506	30	neutrosophic	neutrosophic	ADJ
ejpam-6324	506	31	soft	soft	ADJ
ejpam-6324	506	32	closed	closed	ADJ
ejpam-6324	506	33	set	set	VERB
ejpam-6324	506	34	in	in	ADP
ejpam-6324	506	35	(	(	PUNCT
ejpam-6324	506	36	x	x	NOUN
ejpam-6324	506	37	,	,	PUNCT
ejpam-6324	506	38	τ	τ	PROPN
ejpam-6324	506	39	,	,	PUNCT
ejpam-6324	506	40	é	é	PROPN
ejpam-6324	506	41	)	)	PUNCT
ejpam-6324	506	42	.	.	PUNCT
ejpam-6324	507	1	let	let	AUX
ejpam-6324	507	2	(	(	PUNCT
ejpam-6324	507	3	f̃1	f̃1	PROPN
ejpam-6324	507	4	,	,	PUNCT
ejpam-6324	507	5	é	é	PROPN
ejpam-6324	507	6	)	)	PUNCT
ejpam-6324	507	7	and	and	CCONJ
ejpam-6324	507	8	(	(	PUNCT
ejpam-6324	507	9	f̃2	f̃2	PROPN
ejpam-6324	507	10	,	,	PUNCT
ejpam-6324	507	11	é	é	PROPN
ejpam-6324	507	12	)	)	PUNCT
ejpam-6324	507	13	be	be	VERB
ejpam-6324	507	14	two	two	NUM
ejpam-6324	507	15	quadri	quadri	NOUN
ejpam-6324	507	16	-	-	PUNCT
ejpam-6324	507	17	partitioned	partition	VERB
ejpam-6324	507	18	neutrosophic	neutrosophic	ADJ
ejpam-6324	507	19	soft	soft	ADJ
ejpam-6324	507	20	closed	closed	ADJ
ejpam-6324	507	21	sets	set	NOUN
ejpam-6324	507	22	in	in	ADP
ejpam-6324	507	23	(	(	PUNCT
ejpam-6324	507	24	x	x	NOUN
ejpam-6324	507	25	,	,	PUNCT
ejpam-6324	507	26	τ	τ	PROPN
ejpam-6324	507	27	,	,	PUNCT
ejpam-6324	507	28	é	é	PROPN
ejpam-6324	507	29	)	)	PUNCT
ejpam-6324	507	30	such	such	ADJ
ejpam-6324	507	31	that	that	SCONJ
ejpam-6324	507	32	(	(	PUNCT
ejpam-6324	507	33	f̃1	f̃1	PROPN
ejpam-6324	507	34	,	,	PUNCT
ejpam-6324	507	35	é	é	PROPN
ejpam-6324	507	36	)	)	PUNCT
ejpam-6324	507	37	∩	∩	NOUN
ejpam-6324	507	38	(	(	PUNCT
ejpam-6324	507	39	f̃2	f̃2	PROPN
ejpam-6324	507	40	,	,	PUNCT
ejpam-6324	507	41	é	é	PROPN
ejpam-6324	507	42	)	)	PUNCT
ejpam-6324	507	43	=	=	SYM
ejpam-6324	507	44	0(x	0(x	NOUN
ejpam-6324	507	45	,	,	PUNCT
ejpam-6324	507	46	é	é	PROPN
ejpam-6324	507	47	)	)	PUNCT
ejpam-6324	507	48	.	.	PUNCT
ejpam-6324	508	1	when	when	SCONJ
ejpam-6324	508	2	(	(	PUNCT
ejpam-6324	508	3	f̃	f̃	PROPN
ejpam-6324	508	4	,	,	PUNCT
ejpam-6324	508	5	é	é	PROPN
ejpam-6324	508	6	)	)	PUNCT
ejpam-6324	508	7	is	be	AUX
ejpam-6324	508	8	a	a	DET
ejpam-6324	508	9	quadri	quadri	NOUN
ejpam-6324	508	10	-	-	PUNCT
ejpam-6324	508	11	partitioned	partition	VERB
ejpam-6324	508	12	neutrosophic	neutrosophic	ADJ
ejpam-6324	508	13	soft	soft	ADJ
ejpam-6324	508	14	closed	closed	ADJ
ejpam-6324	508	15	set	set	VERB
ejpam-6324	508	16	in	in	ADP
ejpam-6324	508	17	(	(	PUNCT
ejpam-6324	508	18	x	x	NOUN
ejpam-6324	508	19	,	,	PUNCT
ejpam-6324	508	20	τ	τ	PROPN
ejpam-6324	508	21	,	,	PUNCT
ejpam-6324	508	22	é	é	PROPN
ejpam-6324	508	23	)	)	PUNCT
ejpam-6324	508	24	,	,	PUNCT
ejpam-6324	508	25	(	(	PUNCT
ejpam-6324	508	26	f̃1	f̃1	PROPN
ejpam-6324	508	27	,	,	PUNCT
ejpam-6324	508	28	é	é	PROPN
ejpam-6324	508	29	)	)	PUNCT
ejpam-6324	508	30	and	and	CCONJ
ejpam-6324	508	31	(	(	PUNCT
ejpam-6324	508	32	f̃2	f̃2	PROPN
ejpam-6324	508	33	,	,	PUNCT
ejpam-6324	508	34	é	é	PROPN
ejpam-6324	508	35	)	)	PUNCT
ejpam-6324	508	36	be	be	VERB
ejpam-6324	508	37	two	two	NUM
ejpam-6324	508	38	quadri	quadri	NOUN
ejpam-6324	508	39	-	-	PUNCT
ejpam-6324	508	40	partitioned	partition	VERB
ejpam-6324	508	41	neutrosophic	neutrosophic	ADJ
ejpam-6324	508	42	soft	soft	ADJ
ejpam-6324	508	43	closed	closed	ADJ
ejpam-6324	508	44	sets	set	NOUN
ejpam-6324	508	45	in	in	ADP
ejpam-6324	508	46	(	(	PUNCT
ejpam-6324	508	47	x	x	NOUN
ejpam-6324	508	48	,	,	PUNCT
ejpam-6324	508	49	τ	τ	PROPN
ejpam-6324	508	50	,	,	PUNCT
ejpam-6324	508	51	é	é	PROPN
ejpam-6324	508	52	)	)	PUNCT
ejpam-6324	508	53	.	.	PUNCT
ejpam-6324	509	1	since	since	SCONJ
ejpam-6324	509	2	(	(	PUNCT
ejpam-6324	509	3	x	x	X
ejpam-6324	509	4	,	,	PUNCT
ejpam-6324	509	5	τ	τ	PROPN
ejpam-6324	509	6	,	,	PUNCT
ejpam-6324	509	7	é	é	PROPN
ejpam-6324	509	8	)	)	PUNCT
ejpam-6324	509	9	is	be	AUX
ejpam-6324	509	10	a	a	DET
ejpam-6324	509	11	quadri	quadri	NOUN
ejpam-6324	509	12	-	-	PUNCT
ejpam-6324	509	13	partitioned	partition	VERB
ejpam-6324	509	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	509	15	soft	soft	ADJ
ejpam-6324	509	16	t4−space	t4−space	NOUN
ejpam-6324	509	17	,	,	PUNCT
ejpam-6324	509	18	there	there	PRON
ejpam-6324	509	19	exist	exist	VERB
ejpam-6324	509	20	quadri	quadri	NOUN
ejpam-6324	509	21	-	-	PUNCT
ejpam-6324	509	22	partitioned	partition	VERB
ejpam-6324	509	23	neutrosophic	neutrosophic	ADJ
ejpam-6324	509	24	soft	soft	ADJ
ejpam-6324	509	25	open	open	ADJ
ejpam-6324	509	26	sets	set	NOUN
ejpam-6324	509	27	(	(	PUNCT
ejpam-6324	509	28	g̃1	g̃1	NOUN
ejpam-6324	509	29	,	,	PUNCT
ejpam-6324	509	30	é	é	PROPN
ejpam-6324	509	31	)	)	PUNCT
ejpam-6324	509	32	and	and	CCONJ
ejpam-6324	509	33	(	(	PUNCT
ejpam-6324	509	34	g̃2	g̃2	PROPN
ejpam-6324	509	35	,	,	PUNCT
ejpam-6324	509	36	é	é	PROPN
ejpam-6324	509	37	)	)	PUNCT
ejpam-6324	509	38	such	such	ADJ
ejpam-6324	509	39	that	that	SCONJ
ejpam-6324	509	40	(	(	PUNCT
ejpam-6324	509	41	f̃1	f̃1	PROPN
ejpam-6324	509	42	,	,	PUNCT
ejpam-6324	509	43	é	é	PROPN
ejpam-6324	509	44	)	)	PUNCT
ejpam-6324	509	45	⊂	⊂	PROPN
ejpam-6324	509	46	(	(	PUNCT
ejpam-6324	509	47	g̃1	g̃1	NOUN
ejpam-6324	509	48	,	,	PUNCT
ejpam-6324	509	49	é	é	PROPN
ejpam-6324	509	50	)	)	PUNCT
ejpam-6324	509	51	,	,	PUNCT
ejpam-6324	509	52	(	(	PUNCT
ejpam-6324	509	53	f̃2	f̃2	PROPN
ejpam-6324	509	54	,	,	PUNCT
ejpam-6324	509	55	é	é	PROPN
ejpam-6324	509	56	)	)	PUNCT
ejpam-6324	509	57	⊂	⊂	PROPN
ejpam-6324	509	58	(	(	PUNCT
ejpam-6324	509	59	g̃2	g̃2	PROPN
ejpam-6324	509	60	,	,	PUNCT
ejpam-6324	509	61	é	é	PROPN
ejpam-6324	509	62	)	)	PUNCT
ejpam-6324	509	63	and	and	CCONJ
ejpam-6324	509	64	(	(	PUNCT
ejpam-6324	509	65	g̃1	g̃1	NOUN
ejpam-6324	509	66	,	,	PUNCT
ejpam-6324	509	67	é	é	PROPN
ejpam-6324	509	68	)	)	PUNCT
ejpam-6324	509	69	∩	∩	NOUN
ejpam-6324	509	70	(	(	PUNCT
ejpam-6324	509	71	g̃2	g̃2	PROPN
ejpam-6324	509	72	,	,	PUNCT
ejpam-6324	509	73	é	é	PROPN
ejpam-6324	509	74	)	)	PUNCT
ejpam-6324	509	75	=	=	SYM
ejpam-6324	509	76	0(x	0(x	NOUN
ejpam-6324	509	77	,	,	PUNCT
ejpam-6324	509	78	é	é	PROPN
ejpam-6324	509	79	)	)	PUNCT
ejpam-6324	509	80	.	.	PUNCT
ejpam-6324	510	1	then	then	ADV
ejpam-6324	510	2	(	(	PUNCT
ejpam-6324	510	3	f̃1	f̃1	PROPN
ejpam-6324	510	4	,	,	PUNCT
ejpam-6324	510	5	é	é	PROPN
ejpam-6324	510	6	)	)	PUNCT
ejpam-6324	510	7	=	=	SYM
ejpam-6324	510	8	(	(	PUNCT
ejpam-6324	510	9	g̃1	g̃1	NOUN
ejpam-6324	510	10	,	,	PUNCT
ejpam-6324	510	11	é	é	PROPN
ejpam-6324	510	12	)	)	PUNCT
ejpam-6324	510	13	∩	∩	NOUN
ejpam-6324	510	14	(	(	PUNCT
ejpam-6324	510	15	f̃	f̃	PROPN
ejpam-6324	510	16	,	,	PUNCT
ejpam-6324	510	17	é	é	PROPN
ejpam-6324	510	18	)	)	PUNCT
ejpam-6324	510	19	,	,	PUNCT
ejpam-6324	510	20	(	(	PUNCT
ejpam-6324	510	21	f̃2	f̃2	PROPN
ejpam-6324	510	22	,	,	PUNCT
ejpam-6324	510	23	é	é	PROPN
ejpam-6324	510	24	)	)	PUNCT
ejpam-6324	510	25	=	=	SYM
ejpam-6324	510	26	(	(	PUNCT
ejpam-6324	510	27	g̃2	g̃2	PROPN
ejpam-6324	510	28	,	,	PUNCT
ejpam-6324	510	29	é	é	PROPN
ejpam-6324	510	30	)	)	PUNCT
ejpam-6324	510	31	∩	∩	NOUN
ejpam-6324	510	32	(	(	PUNCT
ejpam-6324	510	33	f̃	f̃	PROPN
ejpam-6324	510	34	,	,	PUNCT
ejpam-6324	510	35	é	é	PROPN
ejpam-6324	510	36	)	)	PUNCT
ejpam-6324	510	37	and	and	CCONJ
ejpam-6324	510	38	(	(	PUNCT
ejpam-6324	510	39	(	(	PUNCT
ejpam-6324	510	40	g̃1	g̃1	NOUN
ejpam-6324	510	41	,	,	PUNCT
ejpam-6324	510	42	é	é	PROPN
ejpam-6324	510	43	)	)	PUNCT
ejpam-6324	510	44	∩	∩	NOUN
ejpam-6324	510	45	(	(	PUNCT
ejpam-6324	510	46	f̃	f̃	PROPN
ejpam-6324	510	47	,	,	PUNCT
ejpam-6324	510	48	é	é	PROPN
ejpam-6324	510	49	)	)	PUNCT
ejpam-6324	510	50	)	)	PUNCT
ejpam-6324	510	51	∩	∩	NOUN
ejpam-6324	510	52	(	(	PUNCT
ejpam-6324	510	53	(	(	PUNCT
ejpam-6324	510	54	g̃2	g̃2	PROPN
ejpam-6324	510	55	,	,	PUNCT
ejpam-6324	510	56	é	é	PROPN
ejpam-6324	510	57	)	)	PUNCT
ejpam-6324	510	58	∩	∩	NOUN
ejpam-6324	510	59	(	(	PUNCT
ejpam-6324	510	60	f̃	f̃	PROPN
ejpam-6324	510	61	,	,	PUNCT
ejpam-6324	510	62	é	é	PROPN
ejpam-6324	510	63	)	)	PUNCT
ejpam-6324	510	64	)	)	PUNCT
ejpam-6324	511	1	=	=	PUNCT
ejpam-6324	511	2	0(x	0(x	NOUN
ejpam-6324	511	3	,	,	PUNCT
ejpam-6324	511	4	é	é	PROPN
ejpam-6324	511	5	)	)	PUNCT
ejpam-6324	511	6	.	.	PUNCT
ejpam-6324	512	1	this	this	PRON
ejpam-6324	512	2	implies	imply	VERB
ejpam-6324	512	3	that	that	SCONJ
ejpam-6324	512	4	(	(	PUNCT
ejpam-6324	512	5	x	x	X
ejpam-6324	512	6	,	,	PUNCT
ejpam-6324	512	7	τ	τ	PROPN
ejpam-6324	512	8	,	,	PUNCT
ejpam-6324	512	9	é	é	PROPN
ejpam-6324	512	10	)	)	PUNCT
ejpam-6324	512	11	is	be	AUX
ejpam-6324	512	12	a	a	DET
ejpam-6324	512	13	quadri	quadri	NOUN
ejpam-6324	512	14	-	-	PUNCT
ejpam-6324	512	15	partitioned	partition	VERB
ejpam-6324	512	16	neutrosophic	neutrosophic	ADJ
ejpam-6324	512	17	soft	soft	ADJ
ejpam-6324	512	18	t4	t4	PROPN
ejpam-6324	512	19	−	−	PROPN
ejpam-6324	512	20	space	space	NOUN
ejpam-6324	512	21	.	.	PUNCT
ejpam-6324	513	1	m.	m.	NOUN
ejpam-6324	513	2	m.	m.	PROPN
ejpam-6324	513	3	saeed	saeed	PROPN
ejpam-6324	513	4	et	et	PROPN
ejpam-6324	513	5	al	al	PROPN
ejpam-6324	513	6	.	.	PUNCT
ejpam-6324	513	7	/	/	SYM
ejpam-6324	513	8	eur	eur	PROPN
ejpam-6324	513	9	.	.	PUNCT
ejpam-6324	514	1	j.	j.	PROPN
ejpam-6324	514	2	pure	pure	PROPN
ejpam-6324	514	3	appl	appl	PROPN
ejpam-6324	514	4	.	.	PROPN
ejpam-6324	514	5	math	math	PROPN
ejpam-6324	514	6	,	,	PUNCT
ejpam-6324	514	7	18	18	NUM
ejpam-6324	514	8	(	(	PUNCT
ejpam-6324	514	9	3	3	NUM
ejpam-6324	514	10	)	)	PUNCT
ejpam-6324	514	11	(	(	PUNCT
ejpam-6324	514	12	2025	2025	NUM
ejpam-6324	514	13	)	)	PUNCT
ejpam-6324	514	14	,	,	PUNCT
ejpam-6324	514	15	6324	6324	NUM
ejpam-6324	514	16	22	22	NUM
ejpam-6324	514	17	of	of	ADP
ejpam-6324	514	18	25	25	NUM
ejpam-6324	514	19	5	5	NUM
ejpam-6324	514	20	.	.	PUNCT
ejpam-6324	515	1	comparative	comparative	ADJ
ejpam-6324	515	2	analysis	analysis	NOUN
ejpam-6324	515	3	proposed	propose	VERB
ejpam-6324	515	4	work	work	NOUN
ejpam-6324	515	5	:	:	PUNCT
ejpam-6324	515	6	focuses	focus	VERB
ejpam-6324	515	7	on	on	ADP
ejpam-6324	515	8	the	the	DET
ejpam-6324	515	9	quadri	quadri	NOUN
ejpam-6324	515	10	-	-	PUNCT
ejpam-6324	515	11	partitioned	partition	VERB
ejpam-6324	515	12	neutrosophic	neutrosophic	ADJ
ejpam-6324	515	13	soft	soft	ADJ
ejpam-6324	515	14	topological	topological	ADJ
ejpam-6324	515	15	space	space	NOUN
ejpam-6324	515	16	(	(	PUNCT
ejpam-6324	515	17	qpnsts	qpnst	NOUN
ejpam-6324	515	18	)	)	PUNCT
ejpam-6324	515	19	,	,	PUNCT
ejpam-6324	515	20	with	with	ADP
ejpam-6324	515	21	an	an	DET
ejpam-6324	515	22	emphasis	emphasis	NOUN
ejpam-6324	515	23	on	on	ADP
ejpam-6324	515	24	separation	separation	NOUN
ejpam-6324	515	25	axioms	axiom	NOUN
ejpam-6324	515	26	and	and	CCONJ
ejpam-6324	515	27	their	their	PRON
ejpam-6324	515	28	extended	extended	ADJ
ejpam-6324	515	29	behavior	behavior	NOUN
ejpam-6324	515	30	in	in	ADP
ejpam-6324	515	31	the	the	DET
ejpam-6324	515	32	context	context	NOUN
ejpam-6324	515	33	of	of	ADP
ejpam-6324	515	34	ti	ti	NOUN
ejpam-6324	515	35	−	−	PROPN
ejpam-6324	515	36	spaces	space	NOUN
ejpam-6324	515	37	for	for	ADP
ejpam-6324	515	38	(	(	PUNCT
ejpam-6324	515	39	i	i	NOUN
ejpam-6324	515	40	=	=	NOUN
ejpam-6324	515	41	0	0	NUM
ejpam-6324	515	42	,	,	PUNCT
ejpam-6324	515	43	1	1	NUM
ejpam-6324	515	44	,	,	PUNCT
ejpam-6324	515	45	2	2	NUM
ejpam-6324	515	46	,	,	PUNCT
ejpam-6324	515	47	3	3	NUM
ejpam-6324	515	48	,	,	PUNCT
ejpam-6324	515	49	4	4	NUM
ejpam-6324	515	50	)	)	PUNCT
ejpam-6324	515	51	.	.	PUNCT
ejpam-6324	516	1	this	this	DET
ejpam-6324	516	2	work	work	NOUN
ejpam-6324	516	3	introduces	introduce	VERB
ejpam-6324	516	4	higher	high	ADJ
ejpam-6324	516	5	levels	level	NOUN
ejpam-6324	516	6	of	of	ADP
ejpam-6324	516	7	uncertainty	uncertainty	NOUN
ejpam-6324	516	8	through	through	ADP
ejpam-6324	516	9	quadri	quadri	NOUN
ejpam-6324	516	10	-	-	PUNCT
ejpam-6324	516	11	partitioned	partition	VERB
ejpam-6324	516	12	neutrosophic	neutrosophic	ADJ
ejpam-6324	516	13	soft	soft	ADJ
ejpam-6324	516	14	sets	set	NOUN
ejpam-6324	516	15	(	(	PUNCT
ejpam-6324	516	16	qpnss	qpnss	NOUN
ejpam-6324	516	17	)	)	PUNCT
ejpam-6324	516	18	and	and	CCONJ
ejpam-6324	516	19	aims	aim	VERB
ejpam-6324	516	20	to	to	PART
ejpam-6324	516	21	explore	explore	VERB
ejpam-6324	516	22	their	their	PRON
ejpam-6324	516	23	theoretical	theoretical	ADJ
ejpam-6324	516	24	foundations	foundation	NOUN
ejpam-6324	516	25	,	,	PUNCT
ejpam-6324	516	26	offering	offer	VERB
ejpam-6324	516	27	new	new	ADJ
ejpam-6324	516	28	definitions	definition	NOUN
ejpam-6324	516	29	and	and	CCONJ
ejpam-6324	516	30	detailed	detailed	ADJ
ejpam-6324	516	31	criteria	criterion	NOUN
ejpam-6324	516	32	.	.	PUNCT
ejpam-6324	517	1	first	first	ADV
ejpam-6324	517	2	published	publish	VERB
ejpam-6324	517	3	work	work	NOUN
ejpam-6324	517	4	[	[	X
ejpam-6324	517	5	38	38	NUM
ejpam-6324	517	6	]	]	SYM
ejpam-6324	517	7	:	:	PUNCT
ejpam-6324	517	8	deals	deal	NOUN
ejpam-6324	517	9	with	with	ADP
ejpam-6324	517	10	the	the	DET
ejpam-6324	517	11	basic	basic	ADJ
ejpam-6324	517	12	theoretical	theoretical	ADJ
ejpam-6324	517	13	framework	framework	NOUN
ejpam-6324	517	14	of	of	ADP
ejpam-6324	517	15	neutrosophic	neutrosophic	ADJ
ejpam-6324	517	16	soft	soft	ADJ
ejpam-6324	517	17	sets	set	NOUN
ejpam-6324	517	18	and	and	CCONJ
ejpam-6324	517	19	introduces	introduce	VERB
ejpam-6324	517	20	the	the	DET
ejpam-6324	517	21	concept	concept	NOUN
ejpam-6324	517	22	of	of	ADP
ejpam-6324	517	23	neutrosophic	neutrosophic	ADJ
ejpam-6324	517	24	soft	soft	ADJ
ejpam-6324	517	25	points	point	NOUN
ejpam-6324	517	26	.	.	PUNCT
ejpam-6324	518	1	the	the	DET
ejpam-6324	518	2	focus	focus	NOUN
ejpam-6324	518	3	is	be	AUX
ejpam-6324	518	4	more	more	ADV
ejpam-6324	518	5	on	on	ADP
ejpam-6324	518	6	redefining	redefine	VERB
ejpam-6324	518	7	concepts	concept	NOUN
ejpam-6324	518	8	like	like	ADP
ejpam-6324	518	9	neutrosophic	neutrosophic	ADJ
ejpam-6324	518	10	soft	soft	ADJ
ejpam-6324	518	11	tispaces	tispace	NOUN
ejpam-6324	518	12	which	which	PRON
ejpam-6324	518	13	are	be	AUX
ejpam-6324	518	14	actually	actually	ADV
ejpam-6324	518	15	separation	separation	NOUN
ejpam-6324	518	16	axioms	axiom	NOUN
ejpam-6324	518	17	and	and	CCONJ
ejpam-6324	518	18	exploring	explore	VERB
ejpam-6324	518	19	their	their	PRON
ejpam-6324	518	20	relationships	relationship	NOUN
ejpam-6324	518	21	.	.	PUNCT
ejpam-6324	519	1	second	second	ADJ
ejpam-6324	519	2	published	publish	VERB
ejpam-6324	519	3	work	work	NOUN
ejpam-6324	519	4	[	[	X
ejpam-6324	519	5	26	26	NUM
ejpam-6324	519	6	]	]	X
ejpam-6324	519	7	:	:	PUNCT
ejpam-6324	519	8	this	this	DET
ejpam-6324	519	9	work	work	NOUN
ejpam-6324	519	10	introduces	introduce	VERB
ejpam-6324	519	11	the	the	DET
ejpam-6324	519	12	concept	concept	NOUN
ejpam-6324	519	13	of	of	ADP
ejpam-6324	519	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	519	15	soft	soft	ADJ
ejpam-6324	519	16	b	b	NOUN
ejpam-6324	519	17	-	-	PUNCT
ejpam-6324	519	18	structures	structure	NOUN
ejpam-6324	519	19	,	,	PUNCT
ejpam-6324	519	20	focusing	focus	VERB
ejpam-6324	519	21	on	on	ADP
ejpam-6324	519	22	the	the	DET
ejpam-6324	519	23	development	development	NOUN
ejpam-6324	519	24	of	of	ADP
ejpam-6324	519	25	b	b	NOUN
ejpam-6324	519	26	-	-	PUNCT
ejpam-6324	519	27	separation	separation	NOUN
ejpam-6324	519	28	axioms	axiom	NOUN
ejpam-6324	519	29	and	and	CCONJ
ejpam-6324	519	30	the	the	DET
ejpam-6324	519	31	theory	theory	NOUN
ejpam-6324	519	32	of	of	ADP
ejpam-6324	519	33	neutrosophic	neutrosophic	ADJ
ejpam-6324	519	34	soft	soft	ADJ
ejpam-6324	519	35	b−	b−	NOUN
ejpam-6324	519	36	tispaces	tispace	NOUN
ejpam-6324	519	37	.	.	PUNCT
ejpam-6324	520	1	it	it	PRON
ejpam-6324	520	2	provides	provide	VERB
ejpam-6324	520	3	results	result	NOUN
ejpam-6324	520	4	related	relate	VERB
ejpam-6324	520	5	to	to	ADP
ejpam-6324	520	6	the	the	DET
ejpam-6324	520	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	520	8	soft	soft	ADJ
ejpam-6324	520	9	topology	topology	NOUN
ejpam-6324	520	10	and	and	CCONJ
ejpam-6324	520	11	its	its	PRON
ejpam-6324	520	12	application	application	NOUN
ejpam-6324	520	13	in	in	ADP
ejpam-6324	520	14	uncertainty	uncertainty	NOUN
ejpam-6324	520	15	modeling	modeling	NOUN
ejpam-6324	520	16	.	.	PUNCT
ejpam-6324	521	1	in	in	ADP
ejpam-6324	521	2	conclusion	conclusion	NOUN
ejpam-6324	521	3	,	,	PUNCT
ejpam-6324	521	4	while	while	SCONJ
ejpam-6324	521	5	the	the	DET
ejpam-6324	521	6	proposed	propose	VERB
ejpam-6324	521	7	work	work	NOUN
ejpam-6324	521	8	focuses	focus	VERB
ejpam-6324	521	9	on	on	ADP
ejpam-6324	521	10	extending	extend	VERB
ejpam-6324	521	11	separation	separation	NOUN
ejpam-6324	521	12	axioms	axiom	NOUN
ejpam-6324	521	13	within	within	ADP
ejpam-6324	521	14	the	the	DET
ejpam-6324	521	15	qpnsts	qpnst	NOUN
ejpam-6324	521	16	framework	framework	NOUN
ejpam-6324	521	17	,	,	PUNCT
ejpam-6324	521	18	both	both	DET
ejpam-6324	521	19	published	publish	VERB
ejpam-6324	521	20	works	work	NOUN
ejpam-6324	521	21	concentrate	concentrate	VERB
ejpam-6324	521	22	on	on	ADP
ejpam-6324	521	23	various	various	ADJ
ejpam-6324	521	24	aspects	aspect	NOUN
ejpam-6324	521	25	of	of	ADP
ejpam-6324	521	26	neutrosophic	neutrosophic	ADJ
ejpam-6324	521	27	soft	soft	ADJ
ejpam-6324	521	28	sets	set	NOUN
ejpam-6324	521	29	and	and	CCONJ
ejpam-6324	521	30	their	their	PRON
ejpam-6324	521	31	application	application	NOUN
ejpam-6324	521	32	,	,	PUNCT
ejpam-6324	521	33	with	with	ADP
ejpam-6324	521	34	the	the	DET
ejpam-6324	521	35	second	second	ADJ
ejpam-6324	521	36	published	publish	VERB
ejpam-6324	521	37	work	work	NOUN
ejpam-6324	521	38	being	be	AUX
ejpam-6324	521	39	the	the	DET
ejpam-6324	521	40	closest	close	ADJ
ejpam-6324	521	41	in	in	ADP
ejpam-6324	521	42	terms	term	NOUN
ejpam-6324	521	43	of	of	ADP
ejpam-6324	521	44	investigating	investigate	VERB
ejpam-6324	521	45	separation	separation	NOUN
ejpam-6324	521	46	axioms	axiom	NOUN
ejpam-6324	521	47	but	but	CCONJ
ejpam-6324	521	48	focusing	focus	VERB
ejpam-6324	521	49	on	on	ADP
ejpam-6324	521	50	b	b	NOUN
ejpam-6324	521	51	-	-	PUNCT
ejpam-6324	521	52	separation	separation	NOUN
ejpam-6324	521	53	axioms	axiom	NOUN
ejpam-6324	521	54	.	.	PUNCT
ejpam-6324	522	1	6	6	X
ejpam-6324	522	2	.	.	X
ejpam-6324	522	3	conclusion	conclusion	NOUN
ejpam-6324	522	4	and	and	CCONJ
ejpam-6324	522	5	future	future	ADJ
ejpam-6324	522	6	work	work	NOUN
ejpam-6324	522	7	in	in	ADP
ejpam-6324	522	8	this	this	DET
ejpam-6324	522	9	study	study	NOUN
ejpam-6324	522	10	,	,	PUNCT
ejpam-6324	522	11	we	we	PRON
ejpam-6324	522	12	have	have	AUX
ejpam-6324	522	13	introduced	introduce	VERB
ejpam-6324	522	14	and	and	CCONJ
ejpam-6324	522	15	developed	develop	VERB
ejpam-6324	522	16	the	the	DET
ejpam-6324	522	17	concept	concept	NOUN
ejpam-6324	522	18	of	of	ADP
ejpam-6324	522	19	separation	separation	NOUN
ejpam-6324	522	20	axioms	axiom	NOUN
ejpam-6324	522	21	within	within	ADP
ejpam-6324	522	22	the	the	DET
ejpam-6324	522	23	framework	framework	NOUN
ejpam-6324	522	24	of	of	ADP
ejpam-6324	522	25	quadri	quadri	NOUN
ejpam-6324	522	26	-	-	PUNCT
ejpam-6324	522	27	partitioned	partition	VERB
ejpam-6324	522	28	neutrosophic	neutrosophic	ADJ
ejpam-6324	522	29	soft	soft	ADJ
ejpam-6324	522	30	topological	topological	ADJ
ejpam-6324	522	31	spaces	space	NOUN
ejpam-6324	522	32	.	.	PUNCT
ejpam-6324	523	1	by	by	ADP
ejpam-6324	523	2	extending	extend	VERB
ejpam-6324	523	3	classical	classical	ADJ
ejpam-6324	523	4	separation	separation	NOUN
ejpam-6324	523	5	conditions	condition	NOUN
ejpam-6324	523	6	to	to	ADP
ejpam-6324	523	7	this	this	DET
ejpam-6324	523	8	more	more	ADV
ejpam-6324	523	9	generalized	generalized	ADJ
ejpam-6324	523	10	and	and	CCONJ
ejpam-6324	523	11	uncertainty	uncertainty	NOUN
ejpam-6324	523	12	-	-	PUNCT
ejpam-6324	523	13	tolerant	tolerant	ADJ
ejpam-6324	523	14	environment	environment	NOUN
ejpam-6324	523	15	,	,	PUNCT
ejpam-6324	523	16	we	we	PRON
ejpam-6324	523	17	defined	define	VERB
ejpam-6324	523	18	and	and	CCONJ
ejpam-6324	523	19	analyzed	analyze	VERB
ejpam-6324	523	20	t4	t4	PROPN
ejpam-6324	523	21	−	−	PROPN
ejpam-6324	523	22	spaces	space	VERB
ejpam-6324	523	23	for	for	ADP
ejpam-6324	523	24	(	(	PUNCT
ejpam-6324	523	25	i	i	NOUN
ejpam-6324	523	26	=	=	NOUN
ejpam-6324	523	27	0	0	NUM
ejpam-6324	523	28	,	,	PUNCT
ejpam-6324	523	29	1	1	NUM
ejpam-6324	523	30	,	,	PUNCT
ejpam-6324	523	31	2	2	NUM
ejpam-6324	523	32	,	,	PUNCT
ejpam-6324	523	33	3	3	NUM
ejpam-6324	523	34	,	,	PUNCT
ejpam-6324	523	35	4	4	NUM
ejpam-6324	523	36	)	)	PUNCT
ejpam-6324	523	37	,	,	PUNCT
ejpam-6324	523	38	providing	provide	VERB
ejpam-6324	523	39	rigorous	rigorous	ADJ
ejpam-6324	523	40	criteria	criterion	NOUN
ejpam-6324	523	41	for	for	ADP
ejpam-6324	523	42	each	each	PRON
ejpam-6324	523	43	and	and	CCONJ
ejpam-6324	523	44	highlighting	highlight	VERB
ejpam-6324	523	45	their	their	PRON
ejpam-6324	523	46	distinctive	distinctive	ADJ
ejpam-6324	523	47	characteristics	characteristic	NOUN
ejpam-6324	523	48	.	.	PUNCT
ejpam-6324	524	1	the	the	DET
ejpam-6324	524	2	behavior	behavior	NOUN
ejpam-6324	524	3	and	and	CCONJ
ejpam-6324	524	4	interplay	interplay	NOUN
ejpam-6324	524	5	of	of	ADP
ejpam-6324	524	6	these	these	DET
ejpam-6324	524	7	axioms	axiom	NOUN
ejpam-6324	524	8	were	be	AUX
ejpam-6324	524	9	examined	examine	VERB
ejpam-6324	524	10	through	through	ADP
ejpam-6324	524	11	carefully	carefully	ADV
ejpam-6324	524	12	constructed	construct	VERB
ejpam-6324	524	13	examples	example	NOUN
ejpam-6324	524	14	,	,	PUNCT
ejpam-6324	524	15	reinforcing	reinforce	VERB
ejpam-6324	524	16	their	their	PRON
ejpam-6324	524	17	theoretical	theoretical	ADJ
ejpam-6324	524	18	foundations	foundation	NOUN
ejpam-6324	524	19	and	and	CCONJ
ejpam-6324	524	20	practical	practical	ADJ
ejpam-6324	524	21	relevance	relevance	NOUN
ejpam-6324	524	22	.	.	PUNCT
ejpam-6324	525	1	furthermore	furthermore	ADV
ejpam-6324	525	2	,	,	PUNCT
ejpam-6324	525	3	we	we	PRON
ejpam-6324	525	4	investigated	investigate	VERB
ejpam-6324	525	5	key	key	ADJ
ejpam-6324	525	6	relationships	relationship	NOUN
ejpam-6324	525	7	among	among	ADP
ejpam-6324	525	8	the	the	DET
ejpam-6324	525	9	proposed	propose	VERB
ejpam-6324	525	10	axioms	axiom	NOUN
ejpam-6324	525	11	and	and	CCONJ
ejpam-6324	525	12	explored	explore	VERB
ejpam-6324	525	13	their	their	PRON
ejpam-6324	525	14	connections	connection	NOUN
ejpam-6324	525	15	to	to	ADP
ejpam-6324	525	16	existing	exist	VERB
ejpam-6324	525	17	results	result	NOUN
ejpam-6324	525	18	in	in	ADP
ejpam-6324	525	19	the	the	DET
ejpam-6324	525	20	broader	broad	ADJ
ejpam-6324	525	21	context	context	NOUN
ejpam-6324	525	22	of	of	ADP
ejpam-6324	525	23	neutrosophic	neutrosophic	ADJ
ejpam-6324	525	24	soft	soft	ADJ
ejpam-6324	525	25	topology	topology	NOUN
ejpam-6324	525	26	.	.	PUNCT
ejpam-6324	526	1	these	these	DET
ejpam-6324	526	2	findings	finding	NOUN
ejpam-6324	526	3	not	not	PART
ejpam-6324	526	4	only	only	ADV
ejpam-6324	526	5	enrich	enrich	VERB
ejpam-6324	526	6	the	the	DET
ejpam-6324	526	7	theoretical	theoretical	ADJ
ejpam-6324	526	8	landscape	landscape	NOUN
ejpam-6324	526	9	but	but	CCONJ
ejpam-6324	526	10	also	also	ADV
ejpam-6324	526	11	offer	offer	VERB
ejpam-6324	526	12	promising	promising	ADJ
ejpam-6324	526	13	directions	direction	NOUN
ejpam-6324	526	14	for	for	ADP
ejpam-6324	526	15	application	application	NOUN
ejpam-6324	526	16	,	,	PUNCT
ejpam-6324	526	17	particularly	particularly	ADV
ejpam-6324	526	18	in	in	ADP
ejpam-6324	526	19	areas	area	NOUN
ejpam-6324	526	20	requiring	require	VERB
ejpam-6324	526	21	nuanced	nuanced	ADJ
ejpam-6324	526	22	decision	decision	NOUN
ejpam-6324	526	23	-	-	PUNCT
ejpam-6324	526	24	making	making	NOUN
ejpam-6324	526	25	under	under	ADP
ejpam-6324	526	26	uncertainty	uncertainty	NOUN
ejpam-6324	526	27	.	.	PUNCT
ejpam-6324	527	1	looking	look	VERB
ejpam-6324	527	2	ahead	ahead	ADV
ejpam-6324	527	3	,	,	PUNCT
ejpam-6324	527	4	we	we	PRON
ejpam-6324	527	5	aim	aim	VERB
ejpam-6324	527	6	to	to	PART
ejpam-6324	527	7	extend	extend	VERB
ejpam-6324	527	8	this	this	DET
ejpam-6324	527	9	work	work	NOUN
ejpam-6324	527	10	to	to	ADP
ejpam-6324	527	11	triple	triple	ADV
ejpam-6324	527	12	-	-	PUNCT
ejpam-6324	527	13	valued	value	VERB
ejpam-6324	527	14	neutrosophic	neutrosophic	ADJ
ejpam-6324	527	15	soft	soft	ADJ
ejpam-6324	527	16	topological	topological	ADJ
ejpam-6324	527	17	spaces	space	NOUN
ejpam-6324	527	18	,	,	PUNCT
ejpam-6324	527	19	focusing	focus	VERB
ejpam-6324	527	20	on	on	ADP
ejpam-6324	527	21	more	more	ADV
ejpam-6324	527	22	advanced	advanced	ADJ
ejpam-6324	527	23	structural	structural	ADJ
ejpam-6324	527	24	properties	property	NOUN
ejpam-6324	527	25	such	such	ADJ
ejpam-6324	527	26	as	as	ADP
ejpam-6324	527	27	compactness	compactness	NOUN
ejpam-6324	527	28	and	and	CCONJ
ejpam-6324	527	29	connectedness	connectedness	NOUN
ejpam-6324	527	30	.	.	PUNCT
ejpam-6324	528	1	these	these	DET
ejpam-6324	528	2	explorations	exploration	NOUN
ejpam-6324	528	3	will	will	AUX
ejpam-6324	528	4	be	be	AUX
ejpam-6324	528	5	complemented	complement	VERB
ejpam-6324	528	6	by	by	ADP
ejpam-6324	528	7	real	real	ADJ
ejpam-6324	528	8	-	-	PUNCT
ejpam-6324	528	9	world	world	NOUN
ejpam-6324	528	10	applications	application	NOUN
ejpam-6324	528	11	,	,	PUNCT
ejpam-6324	528	12	potentially	potentially	ADV
ejpam-6324	528	13	leveraging	leverage	VERB
ejpam-6324	528	14	advanced	advanced	ADJ
ejpam-6324	528	15	machine	machine	NOUN
ejpam-6324	528	16	learning	learn	VERB
ejpam-6324	528	17	techniques	technique	NOUN
ejpam-6324	528	18	to	to	PART
ejpam-6324	528	19	illustrate	illustrate	VERB
ejpam-6324	528	20	the	the	DET
ejpam-6324	528	21	practical	practical	ADJ
ejpam-6324	528	22	utility	utility	NOUN
ejpam-6324	528	23	of	of	ADP
ejpam-6324	528	24	the	the	DET
ejpam-6324	528	25	developed	develop	VERB
ejpam-6324	528	26	theories	theory	NOUN
ejpam-6324	528	27	.	.	PUNCT
ejpam-6324	529	1	m.	m.	NOUN
ejpam-6324	529	2	m.	m.	PROPN
ejpam-6324	529	3	saeed	saeed	PROPN
ejpam-6324	529	4	et	et	PROPN
ejpam-6324	529	5	al	al	PROPN
ejpam-6324	529	6	.	.	PUNCT
ejpam-6324	529	7	/	/	SYM
ejpam-6324	529	8	eur	eur	PROPN
ejpam-6324	529	9	.	.	PUNCT
ejpam-6324	530	1	j.	j.	PROPN
ejpam-6324	530	2	pure	pure	PROPN
ejpam-6324	530	3	appl	appl	PROPN
ejpam-6324	530	4	.	.	PROPN
ejpam-6324	530	5	math	math	PROPN
ejpam-6324	530	6	,	,	PUNCT
ejpam-6324	530	7	18	18	NUM
ejpam-6324	530	8	(	(	PUNCT
ejpam-6324	530	9	3	3	NUM
ejpam-6324	530	10	)	)	PUNCT
ejpam-6324	530	11	(	(	PUNCT
ejpam-6324	530	12	2025	2025	NUM
ejpam-6324	530	13	)	)	PUNCT
ejpam-6324	530	14	,	,	PUNCT
ejpam-6324	530	15	6324	6324	NUM
ejpam-6324	530	16	23	23	NUM
ejpam-6324	530	17	of	of	ADP
ejpam-6324	530	18	25	25	NUM
ejpam-6324	530	19	acknowledgements	acknowledgement	NOUN
ejpam-6324	530	20	(	(	PUNCT
ejpam-6324	530	21	i	i	NOUN
ejpam-6324	530	22	)	)	PUNCT
ejpam-6324	530	23	we	we	PRON
ejpam-6324	530	24	extend	extend	VERB
ejpam-6324	530	25	our	our	PRON
ejpam-6324	530	26	sincere	sincere	ADJ
ejpam-6324	530	27	gratitude	gratitude	NOUN
ejpam-6324	530	28	to	to	PART
ejpam-6324	530	29	prof	prof	PROPN
ejpam-6324	530	30	.	.	PUNCT
ejpam-6324	531	1	dr	dr	PROPN
ejpam-6324	531	2	.	.	PROPN
ejpam-6324	531	3	arif	arif	PROPN
ejpam-6324	531	4	mehmood	mehmood	PROPN
ejpam-6324	531	5	,	,	PUNCT
ejpam-6324	531	6	principal	principal	ADJ
ejpam-6324	531	7	investigator	investigator	NOUN
ejpam-6324	531	8	of	of	ADP
ejpam-6324	531	9	our	our	PRON
ejpam-6324	531	10	collaborative	collaborative	ADJ
ejpam-6324	531	11	project	project	NOUN
ejpam-6324	531	12	and	and	CCONJ
ejpam-6324	531	13	leader	leader	NOUN
ejpam-6324	531	14	of	of	ADP
ejpam-6324	531	15	a	a	DET
ejpam-6324	531	16	176	176	NUM
ejpam-6324	531	17	-	-	PUNCT
ejpam-6324	531	18	member	member	NOUN
ejpam-6324	531	19	research	research	NOUN
ejpam-6324	531	20	team	team	NOUN
ejpam-6324	531	21	.	.	PUNCT
ejpam-6324	532	1	his	his	PRON
ejpam-6324	532	2	exceptional	exceptional	ADJ
ejpam-6324	532	3	leadership	leadership	NOUN
ejpam-6324	532	4	,	,	PUNCT
ejpam-6324	532	5	vision	vision	NOUN
ejpam-6324	532	6	,	,	PUNCT
ejpam-6324	532	7	and	and	CCONJ
ejpam-6324	532	8	unwavering	unwavere	VERB
ejpam-6324	532	9	support	support	NOUN
ejpam-6324	532	10	have	have	AUX
ejpam-6324	532	11	been	be	AUX
ejpam-6324	532	12	instrumental	instrumental	ADJ
ejpam-6324	532	13	to	to	ADP
ejpam-6324	532	14	our	our	PRON
ejpam-6324	532	15	success	success	NOUN
ejpam-6324	532	16	.	.	PUNCT
ejpam-6324	533	1	his	his	PRON
ejpam-6324	533	2	guidance	guidance	NOUN
ejpam-6324	533	3	not	not	PART
ejpam-6324	533	4	only	only	ADV
ejpam-6324	533	5	shaped	shape	VERB
ejpam-6324	533	6	our	our	PRON
ejpam-6324	533	7	work	work	NOUN
ejpam-6324	533	8	but	but	CCONJ
ejpam-6324	533	9	also	also	ADV
ejpam-6324	533	10	inspired	inspire	VERB
ejpam-6324	533	11	us	we	PRON
ejpam-6324	533	12	to	to	PART
ejpam-6324	533	13	maintain	maintain	VERB
ejpam-6324	533	14	professionalism	professionalism	NOUN
ejpam-6324	533	15	and	and	CCONJ
ejpam-6324	533	16	perseverance	perseverance	NOUN
ejpam-6324	533	17	throughout	throughout	ADP
ejpam-6324	533	18	this	this	DET
ejpam-6324	533	19	journey	journey	NOUN
ejpam-6324	533	20	.	.	PUNCT
ejpam-6324	534	1	we	we	PRON
ejpam-6324	534	2	are	be	AUX
ejpam-6324	534	3	truly	truly	ADV
ejpam-6324	534	4	thankful	thankful	ADJ
ejpam-6324	534	5	for	for	ADP
ejpam-6324	534	6	his	his	PRON
ejpam-6324	534	7	invaluable	invaluable	ADJ
ejpam-6324	534	8	mentorship	mentorship	NOUN
ejpam-6324	534	9	.	.	PUNCT
ejpam-6324	535	1	(	(	PUNCT
ejpam-6324	535	2	ii	ii	NOUN
ejpam-6324	535	3	)	)	PUNCT
ejpam-6324	535	4	the	the	DET
ejpam-6324	535	5	authors	author	NOUN
ejpam-6324	535	6	extend	extend	VERB
ejpam-6324	535	7	their	their	PRON
ejpam-6324	535	8	appreciation	appreciation	NOUN
ejpam-6324	535	9	to	to	ADP
ejpam-6324	535	10	the	the	DET
ejpam-6324	535	11	deanship	deanship	NOUN
ejpam-6324	535	12	of	of	ADP
ejpam-6324	535	13	scientific	scientific	ADJ
ejpam-6324	535	14	research	research	NOUN
ejpam-6324	535	15	at	at	ADP
ejpam-6324	535	16	northern	northern	ADJ
ejpam-6324	535	17	border	border	NOUN
ejpam-6324	535	18	university	university	PROPN
ejpam-6324	535	19	,	,	PUNCT
ejpam-6324	535	20	arar	arar	PROPN
ejpam-6324	535	21	,	,	PUNCT
ejpam-6324	535	22	ksa	ksa	PROPN
ejpam-6324	535	23	for	for	ADP
ejpam-6324	535	24	funding	fund	VERB
ejpam-6324	535	25	this	this	DET
ejpam-6324	535	26	research	research	NOUN
ejpam-6324	535	27	work	work	NOUN
ejpam-6324	535	28	through	through	ADP
ejpam-6324	535	29	the	the	DET
ejpam-6324	535	30	project	project	NOUN
ejpam-6324	535	31	number	number	NOUN
ejpam-6324	535	32	“	"	PUNCT
ejpam-6324	535	33	nbu	nbu	NOUN
ejpam-6324	535	34	-	-	PUNCT
ejpam-6324	535	35	ffr-2025	ffr-2025	NOUN
ejpam-6324	535	36	-	-	PUNCT
ejpam-6324	535	37	2727	2727	NUM
ejpam-6324	535	38	-	-	SYM
ejpam-6324	535	39	09	09	NUM
ejpam-6324	535	40	”	"	PUNCT
ejpam-6324	535	41	.	.	PUNCT
ejpam-6324	536	1	author	author	NOUN
ejpam-6324	536	2	contributions	contribution	NOUN
ejpam-6324	536	3	:	:	PUNCT
ejpam-6324	536	4	all	all	DET
ejpam-6324	536	5	authors	author	NOUN
ejpam-6324	536	6	read	read	VERB
ejpam-6324	536	7	and	and	CCONJ
ejpam-6324	536	8	approved	approve	VERB
ejpam-6324	536	9	the	the	DET
ejpam-6324	536	10	final	final	ADJ
ejpam-6324	536	11	manuscript	manuscript	NOUN
ejpam-6324	536	12	.	.	PUNCT
ejpam-6324	537	1	funding	funding	NOUN
ejpam-6324	537	2	statement	statement	NOUN
ejpam-6324	537	3	:	:	PUNCT
ejpam-6324	537	4	the	the	DET
ejpam-6324	537	5	authors	author	NOUN
ejpam-6324	537	6	received	receive	VERB
ejpam-6324	537	7	no	no	DET
ejpam-6324	537	8	specific	specific	ADJ
ejpam-6324	537	9	funding	funding	NOUN
ejpam-6324	537	10	for	for	ADP
ejpam-6324	537	11	this	this	DET
ejpam-6324	537	12	study	study	NOUN
ejpam-6324	537	13	.	.	PUNCT
ejpam-6324	538	1	conflicts	conflict	NOUN
ejpam-6324	538	2	of	of	ADP
ejpam-6324	538	3	interest	interest	NOUN
ejpam-6324	538	4	:	:	PUNCT
ejpam-6324	538	5	the	the	DET
ejpam-6324	538	6	authors	author	NOUN
ejpam-6324	538	7	declare	declare	VERB
ejpam-6324	538	8	that	that	SCONJ
ejpam-6324	538	9	they	they	PRON
ejpam-6324	538	10	have	have	VERB
ejpam-6324	538	11	no	no	DET
ejpam-6324	538	12	conflicts	conflict	NOUN
ejpam-6324	538	13	of	of	ADP
ejpam-6324	538	14	interest	interest	NOUN
ejpam-6324	538	15	to	to	PART
ejpam-6324	538	16	report	report	VERB
ejpam-6324	538	17	regarding	regard	VERB
ejpam-6324	538	18	the	the	DET
ejpam-6324	538	19	present	present	ADJ
ejpam-6324	538	20	study	study	NOUN
ejpam-6324	538	21	.	.	PUNCT
ejpam-6324	539	1	availability	availability	NOUN
ejpam-6324	539	2	of	of	ADP
ejpam-6324	539	3	data	datum	NOUN
ejpam-6324	539	4	and	and	CCONJ
ejpam-6324	539	5	materials	material	NOUN
ejpam-6324	539	6	:	:	PUNCT
ejpam-6324	539	7	all	all	DET
ejpam-6324	539	8	the	the	DET
ejpam-6324	539	9	data	datum	NOUN
ejpam-6324	539	10	and	and	CCONJ
ejpam-6324	539	11	materials	material	NOUN
ejpam-6324	539	12	are	be	AUX
ejpam-6324	539	13	provided	provide	VERB
ejpam-6324	539	14	in	in	ADP
ejpam-6324	539	15	the	the	DET
ejpam-6324	539	16	manuscript	manuscript	NOUN
ejpam-6324	539	17	.	.	PUNCT
ejpam-6324	540	1	references	reference	NOUN
ejpam-6324	540	2	[	[	X
ejpam-6324	540	3	1	1	NUM
ejpam-6324	540	4	]	]	PUNCT
ejpam-6324	540	5	l.	l.	PROPN
ejpam-6324	540	6	a.	a.	PROPN
ejpam-6324	540	7	zadeh	zadeh	PROPN
ejpam-6324	540	8	.	.	PUNCT
ejpam-6324	541	1	fuzzy	fuzzy	ADJ
ejpam-6324	541	2	sets	set	NOUN
ejpam-6324	541	3	.	.	PUNCT
ejpam-6324	542	1	information	information	NOUN
ejpam-6324	542	2	and	and	CCONJ
ejpam-6324	542	3	control	control	NOUN
ejpam-6324	542	4	,	,	PUNCT
ejpam-6324	542	5	8:338–353	8:338–353	NUM
ejpam-6324	542	6	,	,	PUNCT
ejpam-6324	542	7	1965	1965	NUM
ejpam-6324	542	8	.	.	PUNCT
ejpam-6324	543	1	[	[	X
ejpam-6324	543	2	2	2	NUM
ejpam-6324	543	3	]	]	PUNCT
ejpam-6324	543	4	z.	z.	PROPN
ejpam-6324	543	5	pawlak	pawlak	PROPN
ejpam-6324	543	6	.	.	PUNCT
ejpam-6324	544	1	rough	rough	ADJ
ejpam-6324	544	2	sets	set	NOUN
ejpam-6324	544	3	.	.	PUNCT
ejpam-6324	545	1	international	international	ADJ
ejpam-6324	545	2	journal	journal	PROPN
ejpam-6324	545	3	of	of	ADP
ejpam-6324	545	4	computer	computer	PROPN
ejpam-6324	545	5	&	&	CCONJ
ejpam-6324	545	6	information	information	NOUN
ejpam-6324	545	7	sciences	sciences	PROPN
ejpam-6324	545	8	,	,	PUNCT
ejpam-6324	545	9	11:341–356	11:341–356	NUM
ejpam-6324	545	10	,	,	PUNCT
ejpam-6324	545	11	1982	1982	NUM
ejpam-6324	545	12	.	.	PUNCT
ejpam-6324	546	1	[	[	X
ejpam-6324	546	2	3	3	X
ejpam-6324	546	3	]	]	PUNCT
ejpam-6324	546	4	k.	k.	PROPN
ejpam-6324	546	5	atanassov	atanassov	PROPN
ejpam-6324	546	6	.	.	PUNCT
ejpam-6324	547	1	more	more	ADV
ejpam-6324	547	2	on	on	ADP
ejpam-6324	547	3	intuitionistic	intuitionistic	ADJ
ejpam-6324	547	4	fuzzy	fuzzy	ADJ
ejpam-6324	547	5	set	set	NOUN
ejpam-6324	547	6	.	.	PUNCT
ejpam-6324	548	1	fuzzy	fuzzy	ADJ
ejpam-6324	548	2	sets	set	NOUN
ejpam-6324	548	3	and	and	CCONJ
ejpam-6324	548	4	systems	system	NOUN
ejpam-6324	548	5	,	,	PUNCT
ejpam-6324	548	6	33:37–45	33:37–45	NUM
ejpam-6324	548	7	,	,	PUNCT
ejpam-6324	548	8	1989	1989	NUM
ejpam-6324	548	9	.	.	PUNCT
ejpam-6324	549	1	[	[	X
ejpam-6324	549	2	4	4	X
ejpam-6324	549	3	]	]	X
ejpam-6324	549	4	d.	d.	PROPN
ejpam-6324	549	5	molodtsov	molodtsov	PROPN
ejpam-6324	549	6	.	.	PUNCT
ejpam-6324	550	1	soft	soft	ADJ
ejpam-6324	550	2	set	set	NOUN
ejpam-6324	550	3	theory	theory	NOUN
ejpam-6324	550	4	-	-	PUNCT
ejpam-6324	550	5	first	first	ADJ
ejpam-6324	550	6	results	result	NOUN
ejpam-6324	550	7	.	.	PUNCT
ejpam-6324	551	1	computers	computer	NOUN
ejpam-6324	551	2	and	and	CCONJ
ejpam-6324	551	3	mathematics	mathematic	NOUN
ejpam-6324	551	4	with	with	ADP
ejpam-6324	551	5	applications	application	NOUN
ejpam-6324	551	6	,	,	PUNCT
ejpam-6324	551	7	37:19–31	37:19–31	NUM
ejpam-6324	551	8	,	,	PUNCT
ejpam-6324	551	9	1999	1999	NUM
ejpam-6324	551	10	.	.	PUNCT
ejpam-6324	552	1	[	[	X
ejpam-6324	552	2	5	5	X
ejpam-6324	552	3	]	]	PUNCT
ejpam-6324	552	4	p.	p.	NOUN
ejpam-6324	552	5	k.	k.	PROPN
ejpam-6324	553	1	maji	maji	PROPN
ejpam-6324	553	2	,	,	PUNCT
ejpam-6324	553	3	r.	r.	PROPN
ejpam-6324	553	4	biswas	biswas	PROPN
ejpam-6324	553	5	,	,	PUNCT
ejpam-6324	553	6	and	and	CCONJ
ejpam-6324	553	7	a.	a.	PROPN
ejpam-6324	553	8	r.	r.	PROPN
ejpam-6324	553	9	roy	roy	PROPN
ejpam-6324	553	10	.	.	PROPN
ejpam-6324	553	11	soft	soft	ADJ
ejpam-6324	553	12	set	set	NOUN
ejpam-6324	553	13	theory	theory	NOUN
ejpam-6324	553	14	.	.	PUNCT
ejpam-6324	554	1	computers	computer	NOUN
ejpam-6324	554	2	&	&	CCONJ
ejpam-6324	554	3	mathematics	mathematics	PROPN
ejpam-6324	554	4	with	with	ADP
ejpam-6324	554	5	applications	application	NOUN
ejpam-6324	554	6	,	,	PUNCT
ejpam-6324	554	7	45:555–562	45:555–562	PROPN
ejpam-6324	554	8	,	,	PUNCT
ejpam-6324	554	9	2003	2003	NUM
ejpam-6324	554	10	.	.	PUNCT
ejpam-6324	555	1	[	[	X
ejpam-6324	555	2	6	6	NUM
ejpam-6324	555	3	]	]	PUNCT
ejpam-6324	555	4	c.	c.	PROPN
ejpam-6324	555	5	f.	f.	PROPN
ejpam-6324	555	6	yang	yang	PROPN
ejpam-6324	555	7	.	.	PUNCT
ejpam-6324	556	1	a	a	DET
ejpam-6324	556	2	note	note	NOUN
ejpam-6324	556	3	on	on	ADP
ejpam-6324	556	4	soft	soft	ADJ
ejpam-6324	556	5	set	set	NOUN
ejpam-6324	556	6	theory	theory	NOUN
ejpam-6324	556	7	.	.	PUNCT
ejpam-6324	557	1	computers	computer	NOUN
ejpam-6324	557	2	&	&	CCONJ
ejpam-6324	557	3	mathematics	mathematics	PROPN
ejpam-6324	557	4	with	with	ADP
ejpam-6324	557	5	applications	application	NOUN
ejpam-6324	557	6	,	,	PUNCT
ejpam-6324	557	7	56:1899–1900	56:1899–1900	NUM
ejpam-6324	557	8	,	,	PUNCT
ejpam-6324	557	9	2008	2008	NUM
ejpam-6324	557	10	.	.	PUNCT
ejpam-6324	558	1	[	[	X
ejpam-6324	558	2	7	7	X
ejpam-6324	558	3	]	]	PUNCT
ejpam-6324	558	4	p.	p.	NOUN
ejpam-6324	558	5	k.	k.	PROPN
ejpam-6324	559	1	maji	maji	PROPN
ejpam-6324	559	2	.	.	PUNCT
ejpam-6324	560	1	neutrosophic	neutrosophic	ADJ
ejpam-6324	560	2	soft	soft	ADJ
ejpam-6324	560	3	set	set	NOUN
ejpam-6324	560	4	.	.	PUNCT
ejpam-6324	561	1	annals	annal	NOUN
ejpam-6324	561	2	of	of	ADP
ejpam-6324	561	3	fuzzy	fuzzy	ADJ
ejpam-6324	561	4	mathematics	mathematic	NOUN
ejpam-6324	561	5	and	and	CCONJ
ejpam-6324	561	6	informatics	informatic	NOUN
ejpam-6324	561	7	,	,	PUNCT
ejpam-6324	561	8	5:157–168	5:157–168	NOUN
ejpam-6324	561	9	,	,	PUNCT
ejpam-6324	561	10	2013	2013	NUM
ejpam-6324	561	11	.	.	PUNCT
ejpam-6324	562	1	[	[	X
ejpam-6324	562	2	8	8	NUM
ejpam-6324	562	3	]	]	X
ejpam-6324	562	4	i.	i.	NOUN
ejpam-6324	562	5	deli	deli	PROPN
ejpam-6324	562	6	and	and	CCONJ
ejpam-6324	562	7	s.	s.	PROPN
ejpam-6324	562	8	broumi	broumi	PROPN
ejpam-6324	562	9	.	.	PUNCT
ejpam-6324	563	1	neutrosophic	neutrosophic	ADJ
ejpam-6324	563	2	soft	soft	ADJ
ejpam-6324	563	3	relations	relation	NOUN
ejpam-6324	563	4	and	and	CCONJ
ejpam-6324	563	5	some	some	DET
ejpam-6324	563	6	properties	property	NOUN
ejpam-6324	563	7	.	.	PUNCT
ejpam-6324	564	1	annals	annal	NOUN
ejpam-6324	564	2	of	of	ADP
ejpam-6324	564	3	fuzzy	fuzzy	ADJ
ejpam-6324	564	4	mathematics	mathematic	NOUN
ejpam-6324	564	5	and	and	CCONJ
ejpam-6324	564	6	informatics	informatic	NOUN
ejpam-6324	564	7	,	,	PUNCT
ejpam-6324	564	8	9:169–182	9:169–182	NOUN
ejpam-6324	564	9	,	,	PUNCT
ejpam-6324	564	10	2015	2015	NUM
ejpam-6324	564	11	.	.	PUNCT
ejpam-6324	565	1	[	[	X
ejpam-6324	565	2	9	9	NUM
ejpam-6324	565	3	]	]	PUNCT
ejpam-6324	565	4	m.	m.	NOUN
ejpam-6324	565	5	i.	i.	PROPN
ejpam-6324	565	6	ali	ali	PROPN
ejpam-6324	565	7	,	,	PUNCT
ejpam-6324	565	8	f.	f.	PROPN
ejpam-6324	565	9	feng	feng	PROPN
ejpam-6324	565	10	,	,	PUNCT
ejpam-6324	565	11	x.	x.	PROPN
ejpam-6324	565	12	liu	liu	PROPN
ejpam-6324	565	13	,	,	PUNCT
ejpam-6324	565	14	w.	w.	PROPN
ejpam-6324	565	15	k.	k.	PROPN
ejpam-6324	565	16	min	min	PROPN
ejpam-6324	565	17	,	,	PUNCT
ejpam-6324	565	18	and	and	CCONJ
ejpam-6324	565	19	m.	m.	NOUN
ejpam-6324	565	20	shabir	shabir	PROPN
ejpam-6324	565	21	.	.	PUNCT
ejpam-6324	566	1	on	on	ADP
ejpam-6324	566	2	some	some	DET
ejpam-6324	566	3	new	new	ADJ
ejpam-6324	566	4	operations	operation	NOUN
ejpam-6324	566	5	in	in	ADP
ejpam-6324	566	6	soft	soft	ADJ
ejpam-6324	566	7	set	set	NOUN
ejpam-6324	566	8	theory	theory	NOUN
ejpam-6324	566	9	.	.	PUNCT
ejpam-6324	567	1	computers	computer	NOUN
ejpam-6324	567	2	&	&	CCONJ
ejpam-6324	567	3	mathematics	mathematics	PROPN
ejpam-6324	567	4	with	with	ADP
ejpam-6324	567	5	applications	application	NOUN
ejpam-6324	567	6	,	,	PUNCT
ejpam-6324	567	7	57:1547–1553	57:1547–1553	NUM
ejpam-6324	567	8	,	,	PUNCT
ejpam-6324	567	9	2009	2009	NUM
ejpam-6324	567	10	.	.	PUNCT
ejpam-6324	568	1	[	[	X
ejpam-6324	568	2	10	10	NUM
ejpam-6324	568	3	]	]	X
ejpam-6324	568	4	y.	y.	PROPN
ejpam-6324	568	5	shao	shao	PROPN
ejpam-6324	568	6	and	and	CCONJ
ejpam-6324	568	7	k.	k.	PROPN
ejpam-6324	568	8	qin	qin	PROPN
ejpam-6324	568	9	.	.	PROPN
ejpam-6324	568	10	fuzzy	fuzzy	ADJ
ejpam-6324	568	11	soft	soft	ADJ
ejpam-6324	568	12	sets	set	NOUN
ejpam-6324	568	13	and	and	CCONJ
ejpam-6324	568	14	fuzzy	fuzzy	ADJ
ejpam-6324	568	15	soft	soft	ADJ
ejpam-6324	568	16	lattices	lattice	NOUN
ejpam-6324	568	17	.	.	PUNCT
ejpam-6324	569	1	international	international	ADJ
ejpam-6324	569	2	journal	journal	NOUN
ejpam-6324	569	3	of	of	ADP
ejpam-6324	569	4	computational	computational	ADJ
ejpam-6324	569	5	intelligence	intelligence	NOUN
ejpam-6324	569	6	systems	system	NOUN
ejpam-6324	569	7	,	,	PUNCT
ejpam-6324	569	8	5:1135–1147	5:1135–1147	NUM
ejpam-6324	569	9	,	,	PUNCT
ejpam-6324	569	10	2012	2012	NUM
ejpam-6324	569	11	.	.	PUNCT
ejpam-6324	570	1	[	[	X
ejpam-6324	570	2	11	11	NUM
ejpam-6324	570	3	]	]	PUNCT
ejpam-6324	570	4	m.	m.	NOUN
ejpam-6324	570	5	abbas	abbas	PROPN
ejpam-6324	570	6	,	,	PUNCT
ejpam-6324	570	7	m.	m.	PROPN
ejpam-6324	570	8	i.	i.	PROPN
ejpam-6324	570	9	ali	ali	PROPN
ejpam-6324	570	10	,	,	PUNCT
ejpam-6324	570	11	and	and	CCONJ
ejpam-6324	570	12	s.	s.	PROPN
ejpam-6324	570	13	romaguera	romaguera	PROPN
ejpam-6324	570	14	.	.	PUNCT
ejpam-6324	571	1	generalized	generalized	ADJ
ejpam-6324	571	2	operations	operation	NOUN
ejpam-6324	571	3	in	in	ADP
ejpam-6324	571	4	soft	soft	ADJ
ejpam-6324	571	5	set	set	NOUN
ejpam-6324	571	6	theory	theory	NOUN
ejpam-6324	571	7	via	via	ADP
ejpam-6324	571	8	relaxed	relaxed	ADJ
ejpam-6324	571	9	conditions	condition	NOUN
ejpam-6324	571	10	on	on	ADP
ejpam-6324	571	11	parameters	parameter	NOUN
ejpam-6324	571	12	.	.	PUNCT
ejpam-6324	572	1	filomat	filomat	PROPN
ejpam-6324	572	2	,	,	PUNCT
ejpam-6324	572	3	31:5955–5964	31:5955–5964	PROPN
ejpam-6324	572	4	,	,	PUNCT
ejpam-6324	572	5	2017	2017	NUM
ejpam-6324	572	6	.	.	PUNCT
ejpam-6324	573	1	m.	m.	NOUN
ejpam-6324	573	2	m.	m.	PROPN
ejpam-6324	573	3	saeed	saeed	PROPN
ejpam-6324	573	4	et	et	PROPN
ejpam-6324	573	5	al	al	PROPN
ejpam-6324	573	6	.	.	PUNCT
ejpam-6324	573	7	/	/	SYM
ejpam-6324	573	8	eur	eur	PROPN
ejpam-6324	573	9	.	.	PUNCT
ejpam-6324	574	1	j.	j.	PROPN
ejpam-6324	574	2	pure	pure	PROPN
ejpam-6324	574	3	appl	appl	PROPN
ejpam-6324	574	4	.	.	PROPN
ejpam-6324	574	5	math	math	PROPN
ejpam-6324	574	6	,	,	PUNCT
ejpam-6324	574	7	18	18	NUM
ejpam-6324	574	8	(	(	PUNCT
ejpam-6324	574	9	3	3	NUM
ejpam-6324	574	10	)	)	PUNCT
ejpam-6324	574	11	(	(	PUNCT
ejpam-6324	574	12	2025	2025	NUM
ejpam-6324	574	13	)	)	PUNCT
ejpam-6324	574	14	,	,	PUNCT
ejpam-6324	574	15	6324	6324	NUM
ejpam-6324	574	16	24	24	NUM
ejpam-6324	574	17	of	of	ADP
ejpam-6324	574	18	25	25	NUM
ejpam-6324	575	1	[	[	X
ejpam-6324	575	2	12	12	NUM
ejpam-6324	575	3	]	]	PUNCT
ejpam-6324	575	4	t.	t.	PROPN
ejpam-6324	575	5	m.	m.	PROPN
ejpam-6324	575	6	al	al	PROPN
ejpam-6324	575	7	-	-	PUNCT
ejpam-6324	575	8	shami	shami	PROPN
ejpam-6324	575	9	,	,	PUNCT
ejpam-6324	576	1	m.	m.	PROPN
ejpam-6324	576	2	e.	e.	PROPN
ejpam-6324	576	3	el	el	PROPN
ejpam-6324	576	4	-	-	PROPN
ejpam-6324	576	5	shafei	shafei	PROPN
ejpam-6324	576	6	,	,	PUNCT
ejpam-6324	576	7	and	and	CCONJ
ejpam-6324	576	8	m.	m.	NOUN
ejpam-6324	576	9	abo	abo	NOUN
ejpam-6324	576	10	-	-	PUNCT
ejpam-6324	576	11	elhamayel	elhamayel	NOUN
ejpam-6324	576	12	.	.	PUNCT
ejpam-6324	577	1	almost	almost	ADV
ejpam-6324	577	2	soft	soft	ADJ
ejpam-6324	577	3	compact	compact	ADJ
ejpam-6324	577	4	and	and	CCONJ
ejpam-6324	577	5	approximately	approximately	ADV
ejpam-6324	577	6	soft	soft	ADJ
ejpam-6324	577	7	lindelöf	lindelöf	NOUN
ejpam-6324	577	8	spaces	space	NOUN
ejpam-6324	577	9	.	.	PUNCT
ejpam-6324	578	1	journal	journal	PROPN
ejpam-6324	578	2	of	of	ADP
ejpam-6324	578	3	taibah	taibah	PROPN
ejpam-6324	578	4	university	university	PROPN
ejpam-6324	578	5	for	for	ADP
ejpam-6324	578	6	science	science	NOUN
ejpam-6324	578	7	,	,	PUNCT
ejpam-6324	578	8	12:620–630	12:620–630	PROPN
ejpam-6324	578	9	,	,	PUNCT
ejpam-6324	578	10	2018	2018	NUM
ejpam-6324	578	11	.	.	PUNCT
ejpam-6324	579	1	[	[	X
ejpam-6324	579	2	13	13	NUM
ejpam-6324	579	3	]	]	PUNCT
ejpam-6324	579	4	a.	a.	NOUN
ejpam-6324	579	5	mehmood	mehmood	PROPN
ejpam-6324	579	6	,	,	PUNCT
ejpam-6324	579	7	f.	f.	PROPN
ejpam-6324	579	8	afzal	afzal	PROPN
ejpam-6324	579	9	,	,	PUNCT
ejpam-6324	579	10	s.	s.	PROPN
ejpam-6324	579	11	abdullah	abdullah	PROPN
ejpam-6324	579	12	,	,	PUNCT
ejpam-6324	579	13	m.	m.	PROPN
ejpam-6324	579	14	i.	i.	PROPN
ejpam-6324	579	15	khan	khan	PROPN
ejpam-6324	579	16	,	,	PUNCT
ejpam-6324	579	17	and	and	CCONJ
ejpam-6324	579	18	s.	s.	PROPN
ejpam-6324	579	19	gul	gul	PROPN
ejpam-6324	579	20	.	.	PUNCT
ejpam-6324	580	1	an	an	DET
ejpam-6324	580	2	absolutely	absolutely	ADV
ejpam-6324	580	3	new	new	ADJ
ejpam-6324	580	4	attempt	attempt	NOUN
ejpam-6324	580	5	to	to	PART
ejpam-6324	580	6	vague	vague	VERB
ejpam-6324	580	7	soft	soft	ADJ
ejpam-6324	580	8	bi	bi	ADJ
ejpam-6324	580	9	-	-	ADJ
ejpam-6324	580	10	topological	topological	ADJ
ejpam-6324	580	11	spaces	space	NOUN
ejpam-6324	580	12	basis	basis	NOUN
ejpam-6324	580	13	at	at	ADP
ejpam-6324	580	14	newly	newly	ADV
ejpam-6324	580	15	defined	define	VERB
ejpam-6324	580	16	operations	operation	NOUN
ejpam-6324	580	17	regarding	regard	VERB
ejpam-6324	580	18	vague	vague	ADJ
ejpam-6324	580	19	soft	soft	ADJ
ejpam-6324	580	20	points	point	NOUN
ejpam-6324	580	21	.	.	PUNCT
ejpam-6324	581	1	mathematical	mathematical	ADJ
ejpam-6324	581	2	problems	problem	NOUN
ejpam-6324	581	3	in	in	ADP
ejpam-6324	581	4	engineering	engineering	NOUN
ejpam-6324	581	5	,	,	PUNCT
ejpam-6324	581	6	pages	page	NOUN
ejpam-6324	581	7	1–11	1–11	PROPN
ejpam-6324	581	8	,	,	PUNCT
ejpam-6324	581	9	2021	2021	NUM
ejpam-6324	581	10	.	.	PUNCT
ejpam-6324	582	1	[	[	X
ejpam-6324	582	2	14	14	NUM
ejpam-6324	582	3	]	]	X
ejpam-6324	582	4	f.	f.	PROPN
ejpam-6324	582	5	smarandache	smarandache	PROPN
ejpam-6324	582	6	.	.	PUNCT
ejpam-6324	583	1	neutrosophic	neutrosophic	PROPN
ejpam-6324	583	2	set	set	VERB
ejpam-6324	583	3	a	a	DET
ejpam-6324	583	4	generalization	generalization	NOUN
ejpam-6324	583	5	of	of	ADP
ejpam-6324	583	6	the	the	DET
ejpam-6324	583	7	intuitionistic	intuitionistic	ADJ
ejpam-6324	583	8	fuzzy	fuzzy	ADJ
ejpam-6324	583	9	sets	set	NOUN
ejpam-6324	583	10	.	.	PUNCT
ejpam-6324	584	1	journal	journal	NOUN
ejpam-6324	584	2	of	of	ADP
ejpam-6324	584	3	pure	pure	ADJ
ejpam-6324	584	4	and	and	CCONJ
ejpam-6324	584	5	applied	applied	ADJ
ejpam-6324	584	6	mathematics	mathematic	NOUN
ejpam-6324	584	7	,	,	PUNCT
ejpam-6324	584	8	24:287–297	24:287–297	PROPN
ejpam-6324	584	9	,	,	PUNCT
ejpam-6324	584	10	2005	2005	NUM
ejpam-6324	584	11	.	.	PUNCT
ejpam-6324	585	1	[	[	X
ejpam-6324	585	2	15	15	NUM
ejpam-6324	585	3	]	]	PUNCT
ejpam-6324	585	4	t.	t.	PROPN
ejpam-6324	585	5	y.	y.	PROPN
ejpam-6324	585	6	ozturk	ozturk	PROPN
ejpam-6324	585	7	,	,	PUNCT
ejpam-6324	585	8	c.	c.	PROPN
ejpam-6324	585	9	g.	g.	PROPN
ejpam-6324	585	10	aras	aras	PROPN
ejpam-6324	585	11	,	,	PUNCT
ejpam-6324	585	12	and	and	CCONJ
ejpam-6324	585	13	s.	s.	PROPN
ejpam-6324	585	14	bayramov	bayramov	PROPN
ejpam-6324	585	15	.	.	PUNCT
ejpam-6324	586	1	a	a	DET
ejpam-6324	586	2	new	new	ADJ
ejpam-6324	586	3	approach	approach	NOUN
ejpam-6324	586	4	to	to	ADP
ejpam-6324	586	5	neutrosophic	neutrosophic	ADJ
ejpam-6324	586	6	soft	soft	ADJ
ejpam-6324	586	7	sets	set	NOUN
ejpam-6324	586	8	and	and	CCONJ
ejpam-6324	586	9	to	to	ADP
ejpam-6324	586	10	neutrosophic	neutrosophic	ADJ
ejpam-6324	586	11	soft	soft	ADJ
ejpam-6324	586	12	topological	topological	ADJ
ejpam-6324	586	13	spaces	space	NOUN
ejpam-6324	586	14	.	.	PUNCT
ejpam-6324	587	1	communications	communication	NOUN
ejpam-6324	587	2	in	in	ADP
ejpam-6324	587	3	mathematics	mathematic	NOUN
ejpam-6324	587	4	and	and	CCONJ
ejpam-6324	587	5	applications	application	NOUN
ejpam-6324	587	6	,	,	PUNCT
ejpam-6324	587	7	10:481–493	10:481–493	NUM
ejpam-6324	587	8	,	,	PUNCT
ejpam-6324	587	9	2019	2019	NUM
ejpam-6324	587	10	.	.	PUNCT
ejpam-6324	588	1	[	[	X
ejpam-6324	588	2	16	16	NUM
ejpam-6324	588	3	]	]	X
ejpam-6324	588	4	r.	r.	PROPN
ejpam-6324	588	5	v.	v.	PROPN
ejpam-6324	588	6	jaikumar	jaikumar	PROPN
ejpam-6324	588	7	,	,	PUNCT
ejpam-6324	588	8	r.	r.	PROPN
ejpam-6324	588	9	sundareswaran	sundareswaran	PROPN
ejpam-6324	588	10	,	,	PUNCT
ejpam-6324	588	11	g.	g.	PROPN
ejpam-6324	588	12	balaraman	balaraman	PROPN
ejpam-6324	588	13	,	,	PUNCT
ejpam-6324	588	14	p.	p.	PROPN
ejpam-6324	588	15	k.	k.	PROPN
ejpam-6324	589	1	kumar	kumar	PROPN
ejpam-6324	589	2	,	,	PUNCT
ejpam-6324	589	3	and	and	CCONJ
ejpam-6324	589	4	s.	s.	PROPN
ejpam-6324	589	5	broumi	broumi	PROPN
ejpam-6324	589	6	.	.	PUNCT
ejpam-6324	590	1	vulnerability	vulnerability	NOUN
ejpam-6324	590	2	parameters	parameter	NOUN
ejpam-6324	590	3	in	in	ADP
ejpam-6324	590	4	neutrosophic	neutrosophic	ADJ
ejpam-6324	590	5	graphs	graph	NOUN
ejpam-6324	590	6	.	.	PUNCT
ejpam-6324	591	1	neutrosophic	neutrosophic	ADJ
ejpam-6324	591	2	sets	set	NOUN
ejpam-6324	591	3	and	and	CCONJ
ejpam-6324	591	4	systems	system	NOUN
ejpam-6324	591	5	,	,	PUNCT
ejpam-6324	591	6	48:1–13	48:1–13	NUM
ejpam-6324	591	7	,	,	PUNCT
ejpam-6324	591	8	2022	2022	NUM
ejpam-6324	591	9	.	.	PUNCT
ejpam-6324	592	1	[	[	X
ejpam-6324	592	2	17	17	NUM
ejpam-6324	592	3	]	]	PUNCT
ejpam-6324	592	4	t.	t.	NOUN
ejpam-6324	592	5	bera	bera	NOUN
ejpam-6324	592	6	and	and	CCONJ
ejpam-6324	592	7	n.	n.	PROPN
ejpam-6324	592	8	k.	k.	PROPN
ejpam-6324	592	9	mahapatra	mahapatra	PROPN
ejpam-6324	592	10	.	.	PUNCT
ejpam-6324	593	1	introduction	introduction	NOUN
ejpam-6324	593	2	to	to	ADP
ejpam-6324	593	3	neutrosophic	neutrosophic	ADJ
ejpam-6324	593	4	soft	soft	ADJ
ejpam-6324	593	5	topological	topological	ADJ
ejpam-6324	593	6	space	space	NOUN
ejpam-6324	593	7	.	.	PUNCT
ejpam-6324	594	1	opsearch	opsearch	PROPN
ejpam-6324	594	2	,	,	PUNCT
ejpam-6324	594	3	54:841–867	54:841–867	PROPN
ejpam-6324	594	4	,	,	PUNCT
ejpam-6324	594	5	2017	2017	NUM
ejpam-6324	594	6	.	.	PUNCT
ejpam-6324	595	1	[	[	X
ejpam-6324	595	2	18	18	NUM
ejpam-6324	595	3	]	]	X
ejpam-6324	595	4	y.	y.	PROPN
ejpam-6324	595	5	b.	b.	PROPN
ejpam-6324	595	6	jun	jun	PROPN
ejpam-6324	595	7	,	,	PUNCT
ejpam-6324	595	8	f.	f.	PROPN
ejpam-6324	595	9	smarandache	smarandache	PROPN
ejpam-6324	595	10	,	,	PUNCT
ejpam-6324	595	11	and	and	CCONJ
ejpam-6324	595	12	c.	c.	PROPN
ejpam-6324	595	13	s.	s.	PROPN
ejpam-6324	595	14	kim	kim	PROPN
ejpam-6324	595	15	.	.	PUNCT
ejpam-6324	595	16	neutrosophic	neutrosophic	ADJ
ejpam-6324	595	17	cubic	cubic	ADJ
ejpam-6324	595	18	sets	set	NOUN
ejpam-6324	595	19	.	.	PUNCT
ejpam-6324	596	1	new	new	ADJ
ejpam-6324	596	2	mathematics	mathematic	NOUN
ejpam-6324	596	3	and	and	CCONJ
ejpam-6324	596	4	natural	natural	ADJ
ejpam-6324	596	5	computation	computation	NOUN
ejpam-6324	596	6	,	,	PUNCT
ejpam-6324	596	7	12:1–14	12:1–14	NUM
ejpam-6324	596	8	,	,	PUNCT
ejpam-6324	596	9	2016	2016	NUM
ejpam-6324	596	10	.	.	PUNCT
ejpam-6324	597	1	[	[	X
ejpam-6324	597	2	19	19	NUM
ejpam-6324	597	3	]	]	X
ejpam-6324	597	4	w.	w.	PROPN
ejpam-6324	597	5	al	al	PROPN
ejpam-6324	597	6	-	-	PUNCT
ejpam-6324	597	7	omeri	omeri	PROPN
ejpam-6324	597	8	and	and	CCONJ
ejpam-6324	597	9	f.	f.	PROPN
ejpam-6324	597	10	smarandache	smarandache	PROPN
ejpam-6324	597	11	.	.	PUNCT
ejpam-6324	598	1	new	new	ADJ
ejpam-6324	598	2	neutrosophic	neutrosophic	ADJ
ejpam-6324	598	3	sets	set	NOUN
ejpam-6324	598	4	via	via	ADP
ejpam-6324	598	5	neutrosophic	neutrosophic	ADJ
ejpam-6324	598	6	topological	topological	ADJ
ejpam-6324	598	7	spaces	space	NOUN
ejpam-6324	598	8	.	.	PUNCT
ejpam-6324	599	1	infinite	infinite	ADJ
ejpam-6324	599	2	study	study	NOUN
ejpam-6324	599	3	,	,	PUNCT
ejpam-6324	599	4	pages	page	NOUN
ejpam-6324	599	5	1–15	1–15	PROPN
ejpam-6324	599	6	,	,	PUNCT
ejpam-6324	599	7	2016	2016	NUM
ejpam-6324	599	8	.	.	PUNCT
ejpam-6324	600	1	[	[	X
ejpam-6324	600	2	20	20	NUM
ejpam-6324	600	3	]	]	PUNCT
ejpam-6324	600	4	w.	w.	PROPN
ejpam-6324	600	5	zhang	zhang	PROPN
ejpam-6324	600	6	.	.	PUNCT
ejpam-6324	601	1	a	a	DET
ejpam-6324	601	2	computational	computational	ADJ
ejpam-6324	601	3	framework	framework	NOUN
ejpam-6324	601	4	for	for	ADP
ejpam-6324	601	5	bipolar	bipolar	ADJ
ejpam-6324	601	6	cognitive	cognitive	ADJ
ejpam-6324	601	7	modeling	modeling	NOUN
ejpam-6324	601	8	and	and	CCONJ
ejpam-6324	601	9	multiagent	multiagent	ADJ
ejpam-6324	601	10	decision	decision	NOUN
ejpam-6324	601	11	analysis	analysis	NOUN
ejpam-6324	601	12	.	.	PUNCT
ejpam-6324	602	1	npn	npn	ADJ
ejpam-6324	602	2	fuzzy	fuzzy	ADJ
ejpam-6324	602	3	sets	set	NOUN
ejpam-6324	602	4	and	and	CCONJ
ejpam-6324	602	5	npn	npn	NOUN
ejpam-6324	602	6	qualitative	qualitative	ADJ
ejpam-6324	602	7	algebra	algebra	NOUN
ejpam-6324	602	8	,	,	PUNCT
ejpam-6324	602	9	26:561–574	26:561–574	NUM
ejpam-6324	602	10	,	,	PUNCT
ejpam-6324	602	11	1996	1996	NUM
ejpam-6324	602	12	.	.	PUNCT
ejpam-6324	603	1	[	[	X
ejpam-6324	603	2	21	21	NUM
ejpam-6324	603	3	]	]	X
ejpam-6324	603	4	n.	n.	NOUN
ejpam-6324	603	5	yaqoob	yaqoob	NOUN
ejpam-6324	603	6	and	and	CCONJ
ejpam-6324	603	7	m.	m.	NOUN
ejpam-6324	603	8	a.	a.	NOUN
ejpam-6324	603	9	ansari	ansari	PROPN
ejpam-6324	603	10	.	.	PUNCT
ejpam-6324	604	1	bipolar	bipolar	ADJ
ejpam-6324	604	2	(	(	PUNCT
ejpam-6324	604	3	λ	λ	NOUN
ejpam-6324	604	4	,	,	PUNCT
ejpam-6324	604	5	δ)-fuzzy	δ)-fuzzy	ADJ
ejpam-6324	604	6	ideals	ideal	NOUN
ejpam-6324	604	7	in	in	ADP
ejpam-6324	604	8	ternary	ternary	ADJ
ejpam-6324	604	9	semigroups	semigroup	NOUN
ejpam-6324	604	10	.	.	PUNCT
ejpam-6324	605	1	international	international	ADJ
ejpam-6324	605	2	journal	journal	PROPN
ejpam-6324	605	3	of	of	ADP
ejpam-6324	605	4	mathematical	mathematical	ADJ
ejpam-6324	605	5	analysis	analysis	NOUN
ejpam-6324	605	6	,	,	PUNCT
ejpam-6324	605	7	7:1775–1782	7:1775–1782	NUM
ejpam-6324	605	8	,	,	PUNCT
ejpam-6324	605	9	2013	2013	NUM
ejpam-6324	605	10	.	.	PUNCT
ejpam-6324	606	1	[	[	X
ejpam-6324	606	2	22	22	NUM
ejpam-6324	606	3	]	]	X
ejpam-6324	606	4	n.	n.	NOUN
ejpam-6324	606	5	yaqoob	yaqoob	PROPN
ejpam-6324	606	6	,	,	PUNCT
ejpam-6324	606	7	m.	m.	PROPN
ejpam-6324	606	8	aslam	aslam	PROPN
ejpam-6324	606	9	,	,	PUNCT
ejpam-6324	606	10	b.	b.	PROPN
ejpam-6324	606	11	davvaz	davvaz	PROPN
ejpam-6324	606	12	,	,	PUNCT
ejpam-6324	606	13	and	and	CCONJ
ejpam-6324	606	14	a.	a.	NOUN
ejpam-6324	606	15	ghareeb	ghareeb	PROPN
ejpam-6324	606	16	.	.	PUNCT
ejpam-6324	607	1	structures	structure	NOUN
ejpam-6324	607	2	of	of	ADP
ejpam-6324	607	3	bipolar	bipolar	ADJ
ejpam-6324	607	4	fuzzy	fuzzy	ADJ
ejpam-6324	607	5	γ	γ	ADJ
ejpam-6324	607	6	-	-	ADJ
ejpam-6324	607	7	hyper	hyper	ADJ
ejpam-6324	607	8	ideals	ideal	NOUN
ejpam-6324	607	9	in	in	ADP
ejpam-6324	607	10	γ	γ	NOUN
ejpam-6324	607	11	-	-	PUNCT
ejpam-6324	607	12	semi	semi	ADJ
ejpam-6324	607	13	hypergroups	hypergroup	NOUN
ejpam-6324	607	14	.	.	PUNCT
ejpam-6324	608	1	journal	journal	NOUN
ejpam-6324	608	2	of	of	ADP
ejpam-6324	608	3	intelligent	intelligent	ADJ
ejpam-6324	608	4	&	&	CCONJ
ejpam-6324	608	5	fuzzy	fuzzy	ADJ
ejpam-6324	608	6	systems	system	NOUN
ejpam-6324	608	7	,	,	PUNCT
ejpam-6324	608	8	27:3015–3032	27:3015–3032	NUM
ejpam-6324	608	9	,	,	PUNCT
ejpam-6324	608	10	2014	2014	NUM
ejpam-6324	608	11	.	.	PUNCT
ejpam-6324	609	1	[	[	X
ejpam-6324	609	2	23	23	NUM
ejpam-6324	609	3	]	]	X
ejpam-6324	609	4	n.	n.	NOUN
ejpam-6324	609	5	yaqoob	yaqoob	PROPN
ejpam-6324	609	6	,	,	PUNCT
ejpam-6324	609	7	m.	m.	PROPN
ejpam-6324	609	8	aslam	aslam	PROPN
ejpam-6324	609	9	,	,	PUNCT
ejpam-6324	609	10	i.	i.	PROPN
ejpam-6324	609	11	rehman	rehman	PROPN
ejpam-6324	609	12	,	,	PUNCT
ejpam-6324	609	13	and	and	CCONJ
ejpam-6324	609	14	m.	m.	NOUN
ejpam-6324	609	15	m.	m.	PROPN
ejpam-6324	609	16	khalaf	khalaf	PROPN
ejpam-6324	609	17	.	.	PUNCT
ejpam-6324	610	1	new	new	ADJ
ejpam-6324	610	2	types	type	NOUN
ejpam-6324	610	3	of	of	ADP
ejpam-6324	610	4	bipolar	bipolar	ADJ
ejpam-6324	610	5	fuzzy	fuzzy	ADJ
ejpam-6324	610	6	sets	set	NOUN
ejpam-6324	610	7	in	in	ADP
ejpam-6324	610	8	γ	γ	NOUN
ejpam-6324	610	9	-	-	PUNCT
ejpam-6324	610	10	semi	semi	ADJ
ejpam-6324	610	11	hypergroups	hypergroup	NOUN
ejpam-6324	610	12	.	.	PUNCT
ejpam-6324	611	1	songklanakarin	songklanakarin	PROPN
ejpam-6324	611	2	journal	journal	PROPN
ejpam-6324	611	3	of	of	ADP
ejpam-6324	611	4	science	science	NOUN
ejpam-6324	611	5	and	and	CCONJ
ejpam-6324	611	6	technology	technology	NOUN
ejpam-6324	611	7	,	,	PUNCT
ejpam-6324	611	8	38:119–127	38:119–127	NUM
ejpam-6324	611	9	,	,	PUNCT
ejpam-6324	611	10	2016	2016	NUM
ejpam-6324	611	11	.	.	PUNCT
ejpam-6324	612	1	[	[	X
ejpam-6324	612	2	24	24	NUM
ejpam-6324	612	3	]	]	X
ejpam-6324	612	4	r.	r.	PROPN
ejpam-6324	612	5	m.	m.	PROPN
ejpam-6324	612	6	hashim	hashim	PROPN
ejpam-6324	612	7	,	,	PUNCT
ejpam-6324	612	8	m.	m.	PROPN
ejpam-6324	612	9	gulistan	gulistan	PROPN
ejpam-6324	612	10	,	,	PUNCT
ejpam-6324	612	11	i.	i.	PROPN
ejpam-6324	612	12	rehman	rehman	PROPN
ejpam-6324	612	13	,	,	PUNCT
ejpam-6324	612	14	n.	n.	PROPN
ejpam-6324	612	15	hassan	hassan	PROPN
ejpam-6324	612	16	,	,	PUNCT
ejpam-6324	612	17	and	and	CCONJ
ejpam-6324	612	18	a.	a.	NOUN
ejpam-6324	612	19	m.	m.	NOUN
ejpam-6324	612	20	nasruddin	nasruddin	PROPN
ejpam-6324	612	21	.	.	PUNCT
ejpam-6324	613	1	neutrosophic	neutrosophic	ADJ
ejpam-6324	613	2	bipolar	bipolar	ADJ
ejpam-6324	613	3	fuzzy	fuzzy	ADJ
ejpam-6324	613	4	set	set	NOUN
ejpam-6324	613	5	and	and	CCONJ
ejpam-6324	613	6	its	its	PRON
ejpam-6324	613	7	application	application	NOUN
ejpam-6324	613	8	in	in	ADP
ejpam-6324	613	9	medicines	medicine	NOUN
ejpam-6324	613	10	preparations	preparation	NOUN
ejpam-6324	613	11	.	.	PUNCT
ejpam-6324	614	1	neutrosophic	neutrosophic	ADJ
ejpam-6324	614	2	sets	set	NOUN
ejpam-6324	614	3	and	and	CCONJ
ejpam-6324	614	4	systems	system	NOUN
ejpam-6324	614	5	,	,	PUNCT
ejpam-6324	614	6	31:86–100	31:86–100	NUM
ejpam-6324	614	7	,	,	PUNCT
ejpam-6324	614	8	2020	2020	NUM
ejpam-6324	614	9	.	.	PUNCT
ejpam-6324	615	1	[	[	X
ejpam-6324	615	2	25	25	NUM
ejpam-6324	615	3	]	]	PUNCT
ejpam-6324	615	4	a.	a.	NOUN
ejpam-6324	615	5	mehmood	mehmood	PROPN
ejpam-6324	615	6	,	,	PUNCT
ejpam-6324	615	7	s.	s.	PROPN
ejpam-6324	615	8	abdullah	abdullah	PROPN
ejpam-6324	615	9	,	,	PUNCT
ejpam-6324	615	10	and	and	CCONJ
ejpam-6324	615	11	c.	c.	PROPN
ejpam-6324	615	12	park	park	PROPN
ejpam-6324	615	13	.	.	PUNCT
ejpam-6324	616	1	a	a	DET
ejpam-6324	616	2	new	new	ADJ
ejpam-6324	616	3	approach	approach	NOUN
ejpam-6324	616	4	to	to	ADP
ejpam-6324	616	5	vague	vague	VERB
ejpam-6324	616	6	soft	soft	ADJ
ejpam-6324	616	7	bi	bi	ADJ
ejpam-6324	616	8	-	-	ADJ
ejpam-6324	616	9	topological	topological	ADJ
ejpam-6324	616	10	spaces	space	NOUN
ejpam-6324	616	11	.	.	PUNCT
ejpam-6324	617	1	computer	computer	NOUN
ejpam-6324	617	2	modeling	modeling	NOUN
ejpam-6324	617	3	in	in	ADP
ejpam-6324	617	4	engineering	engineering	NOUN
ejpam-6324	617	5	&	&	CCONJ
ejpam-6324	617	6	sciences	sciences	PROPN
ejpam-6324	617	7	,	,	PUNCT
ejpam-6324	617	8	131:411–428	131:411–428	NUM
ejpam-6324	617	9	,	,	PUNCT
ejpam-6324	617	10	2022	2022	NUM
ejpam-6324	617	11	.	.	PUNCT
ejpam-6324	618	1	[	[	X
ejpam-6324	618	2	26	26	NUM
ejpam-6324	618	3	]	]	PUNCT
ejpam-6324	618	4	a.	a.	NOUN
ejpam-6324	618	5	m.	m.	PROPN
ejpam-6324	618	6	khattak	khattak	PROPN
ejpam-6324	618	7	,	,	PUNCT
ejpam-6324	618	8	n.	n.	PROPN
ejpam-6324	618	9	hanif	hanif	PROPN
ejpam-6324	618	10	,	,	PUNCT
ejpam-6324	618	11	f.	f.	PROPN
ejpam-6324	618	12	nadeem	nadeem	PROPN
ejpam-6324	618	13	,	,	PUNCT
ejpam-6324	618	14	m.	m.	PROPN
ejpam-6324	618	15	zamir	zamir	PROPN
ejpam-6324	618	16	,	,	PUNCT
ejpam-6324	618	17	c.	c.	PROPN
ejpam-6324	618	18	park	park	PROPN
ejpam-6324	618	19	,	,	PUNCT
ejpam-6324	618	20	g.	g.	PROPN
ejpam-6324	618	21	nordo	nordo	PROPN
ejpam-6324	618	22	,	,	PUNCT
ejpam-6324	618	23	and	and	CCONJ
ejpam-6324	618	24	s.	s.	PROPN
ejpam-6324	618	25	jabeen	jabeen	PROPN
ejpam-6324	618	26	.	.	PUNCT
ejpam-6324	619	1	soft	soft	ADJ
ejpam-6324	619	2	b	b	NOUN
ejpam-6324	619	3	-	-	PUNCT
ejpam-6324	619	4	separation	separation	NOUN
ejpam-6324	619	5	axioms	axiom	NOUN
ejpam-6324	619	6	in	in	ADP
ejpam-6324	619	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	619	8	soft	soft	ADJ
ejpam-6324	619	9	topological	topological	ADJ
ejpam-6324	619	10	structures	structure	NOUN
ejpam-6324	619	11	.	.	PUNCT
ejpam-6324	620	1	annals	annal	NOUN
ejpam-6324	620	2	of	of	ADP
ejpam-6324	620	3	fuzzy	fuzzy	ADJ
ejpam-6324	620	4	mathematics	mathematic	NOUN
ejpam-6324	620	5	and	and	CCONJ
ejpam-6324	620	6	informatics	informatic	NOUN
ejpam-6324	620	7	,	,	PUNCT
ejpam-6324	620	8	18:93–105	18:93–105	NUM
ejpam-6324	620	9	,	,	PUNCT
ejpam-6324	620	10	2019	2019	NUM
ejpam-6324	620	11	.	.	PUNCT
ejpam-6324	621	1	[	[	X
ejpam-6324	621	2	27	27	NUM
ejpam-6324	621	3	]	]	PUNCT
ejpam-6324	621	4	m.	m.	NOUN
ejpam-6324	621	5	gulistan	gulistan	PROPN
ejpam-6324	621	6	,	,	PUNCT
ejpam-6324	621	7	f.	f.	PROPN
ejpam-6324	621	8	smarandache	smarandache	PROPN
ejpam-6324	621	9	,	,	PUNCT
ejpam-6324	621	10	and	and	CCONJ
ejpam-6324	621	11	a.	a.	NOUN
ejpam-6324	621	12	abdullah	abdullah	PROPN
ejpam-6324	621	13	.	.	PUNCT
ejpam-6324	622	1	an	an	DET
ejpam-6324	622	2	application	application	NOUN
ejpam-6324	622	3	of	of	ADP
ejpam-6324	622	4	complex	complex	ADJ
ejpam-6324	622	5	neutrosophic	neutrosophic	ADJ
ejpam-6324	622	6	sets	set	NOUN
ejpam-6324	622	7	to	to	ADP
ejpam-6324	622	8	the	the	DET
ejpam-6324	622	9	theory	theory	NOUN
ejpam-6324	622	10	of	of	ADP
ejpam-6324	622	11	groups	group	NOUN
ejpam-6324	622	12	.	.	PUNCT
ejpam-6324	623	1	international	international	ADJ
ejpam-6324	623	2	journal	journal	PROPN
ejpam-6324	623	3	of	of	ADP
ejpam-6324	623	4	algebra	algebra	PROPN
ejpam-6324	623	5	and	and	CCONJ
ejpam-6324	623	6	statistics	statistic	NOUN
ejpam-6324	623	7	,	,	PUNCT
ejpam-6324	623	8	7:94–112	7:94–112	NUM
ejpam-6324	623	9	,	,	PUNCT
ejpam-6324	623	10	2022	2022	NUM
ejpam-6324	623	11	.	.	PUNCT
ejpam-6324	624	1	[	[	X
ejpam-6324	624	2	28	28	NUM
ejpam-6324	624	3	]	]	X
ejpam-6324	624	4	m.	m.	NOUN
ejpam-6324	624	5	gulistan	gulistan	PROPN
ejpam-6324	624	6	,	,	PUNCT
ejpam-6324	624	7	a.	a.	PROPN
ejpam-6324	624	8	elmoasry	elmoasry	PROPN
ejpam-6324	624	9	,	,	PUNCT
ejpam-6324	624	10	and	and	CCONJ
ejpam-6324	624	11	n.	n.	PROPN
ejpam-6324	624	12	yaqoob	yaqoob	NOUN
ejpam-6324	624	13	.	.	PUNCT
ejpam-6324	625	1	n	n	CCONJ
ejpam-6324	625	2	-	-	PUNCT
ejpam-6324	625	3	version	version	NOUN
ejpam-6324	625	4	of	of	ADP
ejpam-6324	625	5	the	the	DET
ejpam-6324	625	6	neutrosophic	neutrosophic	ADJ
ejpam-6324	625	7	cubic	cubic	ADJ
ejpam-6324	625	8	set	set	NOUN
ejpam-6324	625	9	:	:	PUNCT
ejpam-6324	625	10	m.	m.	NOUN
ejpam-6324	625	11	m.	m.	PROPN
ejpam-6324	625	12	saeed	saeed	PROPN
ejpam-6324	625	13	et	et	PROPN
ejpam-6324	625	14	al	al	PROPN
ejpam-6324	625	15	.	.	PUNCT
ejpam-6324	625	16	/	/	SYM
ejpam-6324	625	17	eur	eur	PROPN
ejpam-6324	625	18	.	.	PUNCT
ejpam-6324	626	1	j.	j.	PROPN
ejpam-6324	626	2	pure	pure	PROPN
ejpam-6324	626	3	appl	appl	PROPN
ejpam-6324	626	4	.	.	PROPN
ejpam-6324	626	5	math	math	PROPN
ejpam-6324	626	6	,	,	PUNCT
ejpam-6324	626	7	18	18	NUM
ejpam-6324	626	8	(	(	PUNCT
ejpam-6324	626	9	3	3	NUM
ejpam-6324	626	10	)	)	PUNCT
ejpam-6324	626	11	(	(	PUNCT
ejpam-6324	626	12	2025	2025	NUM
ejpam-6324	626	13	)	)	PUNCT
ejpam-6324	626	14	,	,	PUNCT
ejpam-6324	626	15	6324	6324	NUM
ejpam-6324	626	16	25	25	NUM
ejpam-6324	626	17	of	of	ADP
ejpam-6324	626	18	25	25	NUM
ejpam-6324	626	19	application	application	NOUN
ejpam-6324	626	20	in	in	ADP
ejpam-6324	626	21	the	the	DET
ejpam-6324	626	22	negative	negative	ADJ
ejpam-6324	626	23	influences	influence	NOUN
ejpam-6324	626	24	of	of	ADP
ejpam-6324	626	25	internet	internet	NOUN
ejpam-6324	626	26	.	.	PUNCT
ejpam-6324	627	1	the	the	DET
ejpam-6324	627	2	journal	journal	NOUN
ejpam-6324	627	3	of	of	ADP
ejpam-6324	627	4	supercomputing	supercomputing	NOUN
ejpam-6324	627	5	,	,	PUNCT
ejpam-6324	627	6	77:11410	77:11410	NUM
ejpam-6324	627	7	,	,	PUNCT
ejpam-6324	627	8	2021	2021	NUM
ejpam-6324	627	9	.	.	PUNCT
ejpam-6324	628	1	[	[	X
ejpam-6324	628	2	29	29	NUM
ejpam-6324	628	3	]	]	PUNCT
ejpam-6324	628	4	s.	s.	PROPN
ejpam-6324	628	5	a.	a.	PROPN
ejpam-6324	628	6	el	el	PROPN
ejpam-6324	628	7	-	-	PUNCT
ejpam-6324	628	8	sheikh	sheikh	PROPN
ejpam-6324	628	9	and	and	CCONJ
ejpam-6324	628	10	a.	a.	NOUN
ejpam-6324	628	11	m.	m.	NOUN
ejpam-6324	628	12	abd	abd	PROPN
ejpam-6324	628	13	el	el	PROPN
ejpam-6324	628	14	-	-	PROPN
ejpam-6324	628	15	latif	latif	PROPN
ejpam-6324	628	16	.	.	PUNCT
ejpam-6324	629	1	decompositions	decomposition	NOUN
ejpam-6324	629	2	of	of	ADP
ejpam-6324	629	3	some	some	DET
ejpam-6324	629	4	types	type	NOUN
ejpam-6324	629	5	of	of	ADP
ejpam-6324	629	6	supra	supra	ADJ
ejpam-6324	629	7	soft	soft	ADJ
ejpam-6324	629	8	sets	set	NOUN
ejpam-6324	629	9	and	and	CCONJ
ejpam-6324	629	10	soft	soft	ADJ
ejpam-6324	629	11	continuity	continuity	NOUN
ejpam-6324	629	12	.	.	PUNCT
ejpam-6324	630	1	international	international	ADJ
ejpam-6324	630	2	journal	journal	PROPN
ejpam-6324	630	3	of	of	ADP
ejpam-6324	630	4	mathematical	mathematical	ADJ
ejpam-6324	630	5	trends	trend	NOUN
ejpam-6324	630	6	and	and	CCONJ
ejpam-6324	630	7	technology	technology	NOUN
ejpam-6324	630	8	,	,	PUNCT
ejpam-6324	630	9	9(1):37–56	9(1):37–56	NUM
ejpam-6324	630	10	,	,	PUNCT
ejpam-6324	630	11	2014	2014	NUM
ejpam-6324	630	12	.	.	PUNCT
ejpam-6324	631	1	[	[	X
ejpam-6324	631	2	30	30	NUM
ejpam-6324	631	3	]	]	PUNCT
ejpam-6324	631	4	a.	a.	NOUN
ejpam-6324	631	5	m.	m.	PROPN
ejpam-6324	631	6	abd	abd	PROPN
ejpam-6324	631	7	el	el	PROPN
ejpam-6324	631	8	-	-	PROPN
ejpam-6324	631	9	latif	latif	PROPN
ejpam-6324	631	10	.	.	PUNCT
ejpam-6324	632	1	on	on	ADP
ejpam-6324	632	2	soft	soft	ADJ
ejpam-6324	632	3	supra	supra	ADJ
ejpam-6324	632	4	compactness	compactness	NOUN
ejpam-6324	632	5	in	in	ADP
ejpam-6324	632	6	supra	supra	PROPN
ejpam-6324	632	7	soft	soft	ADJ
ejpam-6324	632	8	topological	topological	ADJ
ejpam-6324	632	9	spaces	space	NOUN
ejpam-6324	632	10	.	.	PUNCT
ejpam-6324	633	1	tbilisi	tbilisi	PROPN
ejpam-6324	633	2	mathematical	mathematical	PROPN
ejpam-6324	633	3	journal	journal	PROPN
ejpam-6324	633	4	,	,	PUNCT
ejpam-6324	633	5	11(1):169–178	11(1):169–178	PROPN
ejpam-6324	633	6	,	,	PUNCT
ejpam-6324	633	7	2018	2018	NUM
ejpam-6324	633	8	.	.	PUNCT
ejpam-6324	634	1	[	[	X
ejpam-6324	634	2	31	31	NUM
ejpam-6324	634	3	]	]	PUNCT
ejpam-6324	634	4	a.	a.	NOUN
ejpam-6324	634	5	m.	m.	PROPN
ejpam-6324	634	6	abd	abd	PROPN
ejpam-6324	634	7	el	el	PROPN
ejpam-6324	634	8	-	-	PROPN
ejpam-6324	634	9	latif	latif	PROPN
ejpam-6324	634	10	and	and	CCONJ
ejpam-6324	634	11	r.	r.	PROPN
ejpam-6324	634	12	a.	a.	PROPN
ejpam-6324	634	13	hosny	hosny	PROPN
ejpam-6324	634	14	.	.	PUNCT
ejpam-6324	635	1	supra	supra	PROPN
ejpam-6324	635	2	open	open	VERB
ejpam-6324	635	3	soft	soft	ADJ
ejpam-6324	635	4	sets	set	NOUN
ejpam-6324	635	5	and	and	CCONJ
ejpam-6324	635	6	associated	associate	VERB
ejpam-6324	635	7	soft	soft	ADJ
ejpam-6324	635	8	separation	separation	NOUN
ejpam-6324	635	9	axioms	axiom	NOUN
ejpam-6324	635	10	.	.	PUNCT
ejpam-6324	636	1	international	international	ADJ
ejpam-6324	636	2	journal	journal	NOUN
ejpam-6324	636	3	of	of	ADP
ejpam-6324	636	4	advances	advance	NOUN
ejpam-6324	636	5	in	in	ADP
ejpam-6324	636	6	mathematics	mathematic	NOUN
ejpam-6324	636	7	,	,	PUNCT
ejpam-6324	636	8	6:68–81	6:68–81	VERB
ejpam-6324	636	9	,	,	PUNCT
ejpam-6324	636	10	2017	2017	NUM
ejpam-6324	636	11	.	.	PUNCT
ejpam-6324	637	1	[	[	X
ejpam-6324	637	2	32	32	NUM
ejpam-6324	637	3	]	]	PUNCT
ejpam-6324	637	4	a.	a.	NOUN
ejpam-6324	637	5	rajalakshmi	rajalakshmi	PROPN
ejpam-6324	637	6	,	,	PUNCT
ejpam-6324	637	7	r.	r.	PROPN
ejpam-6324	637	8	hatamleh	hatamleh	PROPN
ejpam-6324	637	9	,	,	PUNCT
ejpam-6324	637	10	a.	a.	PROPN
ejpam-6324	637	11	al	al	PROPN
ejpam-6324	637	12	-	-	PUNCT
ejpam-6324	637	13	husban	husban	PROPN
ejpam-6324	637	14	,	,	PUNCT
ejpam-6324	637	15	k.	k.	PROPN
ejpam-6324	637	16	l.	l.	PROPN
ejpam-6324	637	17	muthu	muthu	PROPN
ejpam-6324	637	18	kumaran	kumaran	PROPN
ejpam-6324	637	19	,	,	PUNCT
ejpam-6324	637	20	and	and	CCONJ
ejpam-6324	637	21	m.	m.	PROPN
ejpam-6324	637	22	s.	s.	PROPN
ejpam-6324	637	23	malchijah	malchijah	PROPN
ejpam-6324	637	24	raj	raj	PROPN
ejpam-6324	637	25	.	.	PUNCT
ejpam-6324	638	1	various	various	ADJ
ejpam-6324	638	2	(	(	PUNCT
ejpam-6324	638	3	ζ1	ζ1	NOUN
ejpam-6324	638	4	,	,	PUNCT
ejpam-6324	638	5	ζ2	ζ2	NOUN
ejpam-6324	638	6	)	)	PUNCT
ejpam-6324	638	7	neutrosophic	neutrosophic	ADJ
ejpam-6324	638	8	ideals	ideal	NOUN
ejpam-6324	638	9	of	of	ADP
ejpam-6324	638	10	an	an	DET
ejpam-6324	638	11	ordered	order	VERB
ejpam-6324	638	12	ternary	ternary	ADJ
ejpam-6324	638	13	semigroups	semigroup	NOUN
ejpam-6324	638	14	.	.	PUNCT
ejpam-6324	639	1	communications	communication	NOUN
ejpam-6324	639	2	in	in	ADP
ejpam-6324	639	3	applied	apply	VERB
ejpam-6324	639	4	nonlinear	nonlinear	ADJ
ejpam-6324	639	5	analysis	analysis	NOUN
ejpam-6324	639	6	,	,	PUNCT
ejpam-6324	639	7	32(3):400–417	32(3):400–417	NUM
ejpam-6324	639	8	,	,	PUNCT
ejpam-6324	639	9	2025	2025	NUM
ejpam-6324	639	10	.	.	PUNCT
ejpam-6324	640	1	[	[	X
ejpam-6324	640	2	33	33	NUM
ejpam-6324	640	3	]	]	PUNCT
ejpam-6324	640	4	a.	a.	NOUN
ejpam-6324	640	5	shihadeh	shihadeh	PROPN
ejpam-6324	640	6	,	,	PUNCT
ejpam-6324	640	7	k.	k.	PROPN
ejpam-6324	640	8	a.	a.	PROPN
ejpam-6324	640	9	m.	m.	PROPN
ejpam-6324	640	10	matarneh	matarneh	PROPN
ejpam-6324	640	11	,	,	PUNCT
ejpam-6324	640	12	r.	r.	PROPN
ejpam-6324	640	13	hatamleh	hatamleh	PROPN
ejpam-6324	640	14	,	,	PUNCT
ejpam-6324	640	15	m.	m.	NOUN
ejpam-6324	640	16	o.	o.	PROPN
ejpam-6324	640	17	al	al	PROPN
ejpam-6324	640	18	-	-	PUNCT
ejpam-6324	640	19	qadri	qadri	PROPN
ejpam-6324	640	20	,	,	PUNCT
ejpam-6324	640	21	and	and	CCONJ
ejpam-6324	640	22	a.	a.	PROPN
ejpam-6324	640	23	al	al	PROPN
ejpam-6324	640	24	-	-	PUNCT
ejpam-6324	640	25	husban	husban	PROPN
ejpam-6324	640	26	.	.	PUNCT
ejpam-6324	641	1	on	on	ADP
ejpam-6324	641	2	the	the	DET
ejpam-6324	641	3	two	two	NUM
ejpam-6324	641	4	-	-	ADJ
ejpam-6324	641	5	fold	fold	ADJ
ejpam-6324	641	6	fuzzy	fuzzy	ADJ
ejpam-6324	641	7	n	n	CCONJ
ejpam-6324	641	8	-	-	PUNCT
ejpam-6324	641	9	refined	refine	VERB
ejpam-6324	641	10	neutrosophic	neutrosophic	ADJ
ejpam-6324	641	11	rings	ring	NOUN
ejpam-6324	641	12	for	for	ADP
ejpam-6324	641	13	2	2	NUM
ejpam-6324	641	14	=	=	SYM
ejpam-6324	641	15	3	3	NUM
ejpam-6324	641	16	.	.	NUM
ejpam-6324	641	17	neutrosophic	neutrosophic	ADJ
ejpam-6324	641	18	sets	set	NOUN
ejpam-6324	641	19	and	and	CCONJ
ejpam-6324	641	20	systems	system	NOUN
ejpam-6324	641	21	,	,	PUNCT
ejpam-6324	641	22	68:8–25	68:8–25	NUM
ejpam-6324	641	23	,	,	PUNCT
ejpam-6324	641	24	2024	2024	NUM
ejpam-6324	641	25	.	.	PUNCT
ejpam-6324	642	1	[	[	X
ejpam-6324	642	2	34	34	NUM
ejpam-6324	642	3	]	]	PUNCT
ejpam-6324	642	4	a.	a.	NOUN
ejpam-6324	642	5	shihadeh	shihadeh	PROPN
ejpam-6324	642	6	,	,	PUNCT
ejpam-6324	642	7	k.	k.	PROPN
ejpam-6324	642	8	a.	a.	PROPN
ejpam-6324	642	9	m.	m.	PROPN
ejpam-6324	642	10	matarneh	matarneh	PROPN
ejpam-6324	642	11	,	,	PUNCT
ejpam-6324	642	12	r.	r.	PROPN
ejpam-6324	642	13	hatamleh	hatamleh	PROPN
ejpam-6324	642	14	,	,	PUNCT
ejpam-6324	642	15	r.	r.	PROPN
ejpam-6324	642	16	b.	b.	PROPN
ejpam-6324	642	17	y.	y.	PROPN
ejpam-6324	642	18	hijazeen	hijazeen	PROPN
ejpam-6324	642	19	,	,	PUNCT
ejpam-6324	642	20	m.	m.	PROPN
ejpam-6324	642	21	o.	o.	PROPN
ejpam-6324	642	22	al	al	PROPN
ejpam-6324	642	23	-	-	PUNCT
ejpam-6324	642	24	qadri	qadri	PROPN
ejpam-6324	642	25	,	,	PUNCT
ejpam-6324	642	26	and	and	CCONJ
ejpam-6324	642	27	a.	a.	PROPN
ejpam-6324	642	28	al	al	PROPN
ejpam-6324	642	29	-	-	PUNCT
ejpam-6324	642	30	husban	husban	PROPN
ejpam-6324	642	31	.	.	PUNCT
ejpam-6324	643	1	an	an	DET
ejpam-6324	643	2	example	example	NOUN
ejpam-6324	643	3	of	of	ADP
ejpam-6324	643	4	two	two	NUM
ejpam-6324	643	5	-	-	PUNCT
ejpam-6324	643	6	fold	fold	ADJ
ejpam-6324	643	7	fuzzy	fuzzy	ADJ
ejpam-6324	643	8	algebras	algebra	NOUN
ejpam-6324	643	9	based	base	VERB
ejpam-6324	643	10	on	on	ADP
ejpam-6324	643	11	neutrosophic	neutrosophic	ADJ
ejpam-6324	643	12	real	real	ADJ
ejpam-6324	643	13	numbers	number	NOUN
ejpam-6324	643	14	.	.	PUNCT
ejpam-6324	644	1	neutrosophic	neutrosophic	ADJ
ejpam-6324	644	2	sets	set	NOUN
ejpam-6324	644	3	and	and	CCONJ
ejpam-6324	644	4	systems	system	NOUN
ejpam-6324	644	5	,	,	PUNCT
ejpam-6324	644	6	67:169–178	67:169–178	PROPN
ejpam-6324	644	7	,	,	PUNCT
ejpam-6324	644	8	2024	2024	NUM
ejpam-6324	644	9	.	.	PUNCT
ejpam-6324	645	1	[	[	X
ejpam-6324	645	2	35	35	NUM
ejpam-6324	645	3	]	]	X
ejpam-6324	645	4	r.	r.	PROPN
ejpam-6324	645	5	hatamleh	hatamleh	PROPN
ejpam-6324	645	6	,	,	PUNCT
ejpam-6324	645	7	a.	a.	PROPN
ejpam-6324	645	8	al	al	PROPN
ejpam-6324	645	9	-	-	PUNCT
ejpam-6324	645	10	husban	husban	PROPN
ejpam-6324	645	11	,	,	PUNCT
ejpam-6324	645	12	s.	s.	PROPN
ejpam-6324	645	13	a.	a.	PROPN
ejpam-6324	645	14	m.	m.	PROPN
ejpam-6324	645	15	zubair	zubair	PROPN
ejpam-6324	645	16	,	,	PUNCT
ejpam-6324	645	17	m.	m.	NOUN
ejpam-6324	645	18	elamin	elamin	NOUN
ejpam-6324	645	19	,	,	PUNCT
ejpam-6324	645	20	m.	m.	NOUN
ejpam-6324	645	21	m.	m.	PROPN
ejpam-6324	645	22	saeed	saeed	PROPN
ejpam-6324	645	23	,	,	PUNCT
ejpam-6324	645	24	e.	e.	PROPN
ejpam-6324	645	25	abdolmaleki	abdolmaleki	PROPN
ejpam-6324	645	26	,	,	PUNCT
ejpam-6324	645	27	a.	a.	PROPN
ejpam-6324	645	28	m.	m.	PROPN
ejpam-6324	645	29	khattak	khattak	PROPN
ejpam-6324	645	30	,	,	PUNCT
ejpam-6324	645	31	and	and	CCONJ
ejpam-6324	645	32	c.	c.	PROPN
ejpam-6324	645	33	l.	l.	PROPN
ejpam-6324	645	34	armada	armada	PROPN
ejpam-6324	645	35	.	.	PUNCT
ejpam-6324	646	1	ai	ai	AUX
ejpam-6324	646	2	-	-	PUNCT
ejpam-6324	646	3	assisted	assist	VERB
ejpam-6324	646	4	wearable	wearable	ADJ
ejpam-6324	646	5	devices	device	NOUN
ejpam-6324	646	6	for	for	ADP
ejpam-6324	646	7	promoting	promote	VERB
ejpam-6324	646	8	human	human	ADJ
ejpam-6324	646	9	health	health	NOUN
ejpam-6324	646	10	and	and	CCONJ
ejpam-6324	646	11	strength	strength	NOUN
ejpam-6324	646	12	using	use	VERB
ejpam-6324	646	13	complex	complex	ADJ
ejpam-6324	646	14	interval	interval	NOUN
ejpam-6324	646	15	-	-	PUNCT
ejpam-6324	646	16	valued	value	VERB
ejpam-6324	646	17	picture	picture	NOUN
ejpam-6324	646	18	fuzzy	fuzzy	ADJ
ejpam-6324	646	19	soft	soft	ADJ
ejpam-6324	646	20	relations	relation	NOUN
ejpam-6324	646	21	.	.	PUNCT
ejpam-6324	647	1	european	european	PROPN
ejpam-6324	647	2	journal	journal	PROPN
ejpam-6324	647	3	of	of	ADP
ejpam-6324	647	4	pure	pure	ADJ
ejpam-6324	647	5	and	and	CCONJ
ejpam-6324	647	6	applied	applied	ADJ
ejpam-6324	647	7	mathematics	mathematic	NOUN
ejpam-6324	647	8	,	,	PUNCT
ejpam-6324	647	9	18:5523–5523	18:5523–5523	NUM
ejpam-6324	647	10	,	,	PUNCT
ejpam-6324	647	11	2025	2025	NUM
ejpam-6324	647	12	.	.	PUNCT
ejpam-6324	648	1	[	[	X
ejpam-6324	648	2	36	36	NUM
ejpam-6324	648	3	]	]	PUNCT
ejpam-6324	648	4	a.	a.	PROPN
ejpam-6324	648	5	al	al	PROPN
ejpam-6324	648	6	-	-	PUNCT
ejpam-6324	648	7	husban	husban	PROPN
ejpam-6324	648	8	,	,	PUNCT
ejpam-6324	648	9	m.	m.	NOUN
ejpam-6324	648	10	m.	m.	PROPN
ejpam-6324	648	11	saeed	saeed	PROPN
ejpam-6324	648	12	,	,	PUNCT
ejpam-6324	648	13	g.	g.	PROPN
ejpam-6324	648	14	nordo	nordo	PROPN
ejpam-6324	648	15	,	,	PUNCT
ejpam-6324	648	16	t.	t.	PROPN
ejpam-6324	648	17	fujita	fujita	PROPN
ejpam-6324	648	18	,	,	PUNCT
ejpam-6324	648	19	a.	a.	PROPN
ejpam-6324	648	20	mehmood	mehmood	PROPN
ejpam-6324	648	21	,	,	PUNCT
ejpam-6324	648	22	r.	r.	PROPN
ejpam-6324	648	23	hatamleh	hatamleh	PROPN
ejpam-6324	648	24	,	,	PUNCT
ejpam-6324	648	25	and	and	CCONJ
ejpam-6324	648	26	c.	c.	PROPN
ejpam-6324	648	27	l.	l.	PROPN
ejpam-6324	648	28	armada	armada	PROPN
ejpam-6324	648	29	.	.	PUNCT
ejpam-6324	649	1	a	a	DET
ejpam-6324	649	2	comprehensive	comprehensive	ADJ
ejpam-6324	649	3	study	study	NOUN
ejpam-6324	649	4	of	of	ADP
ejpam-6324	649	5	bipolar	bipolar	ADJ
ejpam-6324	649	6	vague	vague	ADJ
ejpam-6324	649	7	soft	soft	ADJ
ejpam-6324	649	8	expert	expert	NOUN
ejpam-6324	649	9	p	p	NOUN
ejpam-6324	649	10	-	-	PUNCT
ejpam-6324	649	11	open	open	ADJ
ejpam-6324	649	12	sets	set	NOUN
ejpam-6324	649	13	in	in	ADP
ejpam-6324	649	14	bipolar	bipolar	ADJ
ejpam-6324	649	15	vague	vague	ADJ
ejpam-6324	649	16	soft	soft	ADJ
ejpam-6324	649	17	expert	expert	NOUN
ejpam-6324	649	18	topological	topological	ADJ
ejpam-6324	649	19	spaces	space	NOUN
ejpam-6324	649	20	with	with	ADP
ejpam-6324	649	21	applications	application	NOUN
ejpam-6324	649	22	to	to	ADP
ejpam-6324	649	23	cancer	cancer	NOUN
ejpam-6324	649	24	diagnosis	diagnosis	NOUN
ejpam-6324	649	25	.	.	PUNCT
ejpam-6324	650	1	european	european	ADJ
ejpam-6324	650	2	journal	journal	PROPN
ejpam-6324	650	3	of	of	ADP
ejpam-6324	650	4	pure	pure	ADJ
ejpam-6324	650	5	and	and	CCONJ
ejpam-6324	650	6	applied	applied	ADJ
ejpam-6324	650	7	mathematics	mathematic	NOUN
ejpam-6324	650	8	,	,	PUNCT
ejpam-6324	650	9	18:5900–5900	18:5900–5900	NUM
ejpam-6324	650	10	,	,	PUNCT
ejpam-6324	650	11	2025	2025	NUM
ejpam-6324	650	12	.	.	PUNCT
ejpam-6324	651	1	[	[	X
ejpam-6324	651	2	37	37	NUM
ejpam-6324	651	3	]	]	PUNCT
ejpam-6324	651	4	m.	m.	NOUN
ejpam-6324	651	5	m.	m.	PROPN
ejpam-6324	651	6	saeed	saeed	PROPN
ejpam-6324	651	7	,	,	PUNCT
ejpam-6324	651	8	r.	r.	PROPN
ejpam-6324	651	9	hatamleh	hatamleh	PROPN
ejpam-6324	651	10	,	,	PUNCT
ejpam-6324	651	11	a.	a.	NOUN
ejpam-6324	651	12	m.	m.	PROPN
ejpam-6324	651	13	abd	abd	PROPN
ejpam-6324	651	14	el	el	PROPN
ejpam-6324	651	15	-	-	PROPN
ejpam-6324	651	16	latif	latif	PROPN
ejpam-6324	651	17	,	,	PUNCT
ejpam-6324	651	18	a.	a.	NOUN
ejpam-6324	651	19	alhusban	alhusban	PROPN
ejpam-6324	651	20	,	,	PUNCT
ejpam-6324	651	21	h.	h.	PROPN
ejpam-6324	651	22	m.	m.	PROPN
ejpam-6324	651	23	attaalfadeel	attaalfadeel	PROPN
ejpam-6324	651	24	,	,	PUNCT
ejpam-6324	651	25	t.	t.	PROPN
ejpam-6324	651	26	fujita	fujita	PROPN
ejpam-6324	651	27	,	,	PUNCT
ejpam-6324	651	28	k.	k.	PROPN
ejpam-6324	651	29	a.	a.	PROPN
ejpam-6324	651	30	aldwoah	aldwoah	PROPN
ejpam-6324	651	31	,	,	PUNCT
ejpam-6324	651	32	and	and	CCONJ
ejpam-6324	651	33	a.	a.	PROPN
ejpam-6324	651	34	mehmood	mehmood	PROPN
ejpam-6324	651	35	.	.	PUNCT
ejpam-6324	652	1	a	a	DET
ejpam-6324	652	2	breakthrough	breakthrough	ADJ
ejpam-6324	652	3	approach	approach	NOUN
ejpam-6324	652	4	to	to	ADP
ejpam-6324	652	5	quadripartitioned	quadripartitione	VERB
ejpam-6324	652	6	neutrosophic	neutrosophic	ADJ
ejpam-6324	652	7	soft	soft	ADJ
ejpam-6324	652	8	topological	topological	ADJ
ejpam-6324	652	9	spaces	space	NOUN
ejpam-6324	652	10	.	.	PUNCT
ejpam-6324	653	1	european	european	ADJ
ejpam-6324	653	2	journal	journal	PROPN
ejpam-6324	653	3	of	of	ADP
ejpam-6324	653	4	pure	pure	ADJ
ejpam-6324	653	5	and	and	CCONJ
ejpam-6324	653	6	applied	applied	ADJ
ejpam-6324	653	7	mathematics	mathematic	NOUN
ejpam-6324	653	8	,	,	PUNCT
ejpam-6324	653	9	18:1–32	18:1–32	NUM
ejpam-6324	653	10	,	,	PUNCT
ejpam-6324	653	11	2025	2025	NUM
ejpam-6324	653	12	.	.	PUNCT
ejpam-6324	654	1	[	[	X
ejpam-6324	654	2	38	38	NUM
ejpam-6324	654	3	]	]	PUNCT
ejpam-6324	654	4	c.	c.	PROPN
ejpam-6324	654	5	g.	g.	PROPN
ejpam-6324	654	6	aras	aras	PROPN
ejpam-6324	654	7	,	,	PUNCT
ejpam-6324	654	8	t.	t.	PROPN
ejpam-6324	654	9	y.	y.	PROPN
ejpam-6324	654	10	ozturk	ozturk	PROPN
ejpam-6324	654	11	,	,	PUNCT
ejpam-6324	654	12	and	and	CCONJ
ejpam-6324	654	13	s.	s.	PROPN
ejpam-6324	654	14	bayramov	bayramov	PROPN
ejpam-6324	654	15	.	.	PUNCT
ejpam-6324	655	1	separation	separation	NOUN
ejpam-6324	655	2	axioms	axiom	NOUN
ejpam-6324	655	3	on	on	ADP
ejpam-6324	655	4	neutrosophic	neutrosophic	ADJ
ejpam-6324	655	5	soft	soft	ADJ
ejpam-6324	655	6	topological	topological	ADJ
ejpam-6324	655	7	spaces	space	NOUN
ejpam-6324	655	8	.	.	PUNCT
ejpam-6324	656	1	turkish	turkish	ADJ
ejpam-6324	656	2	journal	journal	NOUN
ejpam-6324	656	3	of	of	ADP
ejpam-6324	656	4	mathematics	mathematic	NOUN
ejpam-6324	656	5	,	,	PUNCT
ejpam-6324	656	6	43:498–510	43:498–510	PROPN
ejpam-6324	656	7	,	,	PUNCT
ejpam-6324	656	8	2019	2019	NUM
ejpam-6324	656	9	.	.	PUNCT