id	sid	tid	token	lemma	pos
ejpam-5733	1	1	european	european	PROPN
ejpam-5733	1	2	journal	journal	PROPN
ejpam-5733	1	3	of	of	ADP
ejpam-5733	1	4	pure	pure	ADJ
ejpam-5733	1	5	and	and	CCONJ
ejpam-5733	1	6	applied	applied	ADJ
ejpam-5733	1	7	mathematics	mathematic	NOUN
ejpam-5733	1	8	2025	2025	NUM
ejpam-5733	1	9	,	,	PUNCT
ejpam-5733	1	10	vol	vol	NOUN
ejpam-5733	1	11	.	.	PROPN
ejpam-5733	1	12	18	18	NUM
ejpam-5733	1	13	,	,	PUNCT
ejpam-5733	1	14	issue	issue	NOUN
ejpam-5733	1	15	1	1	NUM
ejpam-5733	1	16	,	,	PUNCT
ejpam-5733	1	17	article	article	NOUN
ejpam-5733	1	18	number	number	NOUN
ejpam-5733	1	19	5733	5733	NUM
ejpam-5733	1	20	issn	issn	PROPN
ejpam-5733	1	21	1307	1307	NUM
ejpam-5733	1	22	-	-	SYM
ejpam-5733	1	23	5543	5543	NUM
ejpam-5733	1	24	–	–	PUNCT
ejpam-5733	1	25	ejpam.com	ejpam.com	X
ejpam-5733	1	26	published	publish	VERB
ejpam-5733	1	27	by	by	ADP
ejpam-5733	1	28	new	new	PROPN
ejpam-5733	1	29	york	york	PROPN
ejpam-5733	1	30	business	business	PROPN
ejpam-5733	1	31	global	global	PROPN
ejpam-5733	1	32	on	on	ADP
ejpam-5733	1	33	r	r	NOUN
ejpam-5733	1	34	-	-	PUNCT
ejpam-5733	1	35	fuzzy	fuzzy	ADJ
ejpam-5733	1	36	soft	soft	ADJ
ejpam-5733	1	37	δ	δ	NOUN
ejpam-5733	1	38	-	-	ADJ
ejpam-5733	1	39	open	open	ADJ
ejpam-5733	1	40	sets	set	NOUN
ejpam-5733	1	41	with	with	ADP
ejpam-5733	1	42	applications	application	NOUN
ejpam-5733	1	43	in	in	ADP
ejpam-5733	1	44	fuzzy	fuzzy	ADJ
ejpam-5733	1	45	soft	soft	ADJ
ejpam-5733	1	46	topological	topological	ADJ
ejpam-5733	1	47	spaces	space	NOUN
ejpam-5733	1	48	ibtesam	ibtesam	PROPN
ejpam-5733	1	49	alshammari1	alshammari1	PROPN
ejpam-5733	1	50	,	,	PUNCT
ejpam-5733	1	51	osama	osama	PROPN
ejpam-5733	1	52	taha2	taha2	PROPN
ejpam-5733	1	53	,	,	PUNCT
ejpam-5733	2	1	mostafa	mostafa	PROPN
ejpam-5733	2	2	k.	k.	PROPN
ejpam-5733	2	3	el	el	PROPN
ejpam-5733	2	4	-	-	PUNCT
ejpam-5733	2	5	bably3,4	bably3,4	PROPN
ejpam-5733	2	6	,	,	PUNCT
ejpam-5733	2	7	islamm	islamm	PROPN
ejpam-5733	2	8	.	.	PUNCT
ejpam-5733	3	1	taha2,5,∗	taha2,5,∗	PROPN
ejpam-5733	3	2	1	1	NUM
ejpam-5733	3	3	department	department	NOUN
ejpam-5733	3	4	of	of	ADP
ejpam-5733	3	5	mathematics	mathematic	NOUN
ejpam-5733	3	6	,	,	PUNCT
ejpam-5733	3	7	faculty	faculty	NOUN
ejpam-5733	3	8	of	of	ADP
ejpam-5733	3	9	science	science	NOUN
ejpam-5733	3	10	,	,	PUNCT
ejpam-5733	3	11	university	university	NOUN
ejpam-5733	3	12	of	of	ADP
ejpam-5733	3	13	hafr	hafr	PROPN
ejpam-5733	3	14	al	al	PROPN
ejpam-5733	3	15	batin	batin	PROPN
ejpam-5733	3	16	,	,	PUNCT
ejpam-5733	3	17	saudi	saudi	PROPN
ejpam-5733	3	18	arabia	arabia	PROPN
ejpam-5733	3	19	2	2	NUM
ejpam-5733	3	20	department	department	NOUN
ejpam-5733	3	21	of	of	ADP
ejpam-5733	3	22	mathematics	mathematic	NOUN
ejpam-5733	3	23	,	,	PUNCT
ejpam-5733	3	24	faculty	faculty	NOUN
ejpam-5733	3	25	of	of	ADP
ejpam-5733	3	26	science	science	NOUN
ejpam-5733	3	27	,	,	PUNCT
ejpam-5733	3	28	sohag	sohag	NOUN
ejpam-5733	3	29	university	university	NOUN
ejpam-5733	3	30	,	,	PUNCT
ejpam-5733	3	31	sohag	sohag	NOUN
ejpam-5733	3	32	,	,	PUNCT
ejpam-5733	3	33	egypt	egypt	PROPN
ejpam-5733	3	34	3	3	NUM
ejpam-5733	3	35	department	department	NOUN
ejpam-5733	3	36	of	of	ADP
ejpam-5733	3	37	mathematics	mathematic	NOUN
ejpam-5733	3	38	,	,	PUNCT
ejpam-5733	3	39	faculty	faculty	NOUN
ejpam-5733	3	40	of	of	ADP
ejpam-5733	3	41	science	science	NOUN
ejpam-5733	3	42	,	,	PUNCT
ejpam-5733	3	43	tanta	tanta	PROPN
ejpam-5733	3	44	university	university	PROPN
ejpam-5733	3	45	,	,	PUNCT
ejpam-5733	3	46	tanta	tanta	PROPN
ejpam-5733	3	47	,	,	PUNCT
ejpam-5733	3	48	egypt	egypt	PROPN
ejpam-5733	3	49	4	4	NUM
ejpam-5733	3	50	jadara	jadara	PROPN
ejpam-5733	3	51	university	university	PROPN
ejpam-5733	3	52	research	research	NOUN
ejpam-5733	3	53	center	center	NOUN
ejpam-5733	3	54	,	,	PUNCT
ejpam-5733	3	55	jadara	jadara	PROPN
ejpam-5733	3	56	university	university	PROPN
ejpam-5733	3	57	,	,	PUNCT
ejpam-5733	3	58	irbid	irbid	PROPN
ejpam-5733	3	59	,	,	PUNCT
ejpam-5733	3	60	jordan	jordan	PROPN
ejpam-5733	3	61	5	5	NUM
ejpam-5733	3	62	department	department	NOUN
ejpam-5733	3	63	of	of	ADP
ejpam-5733	3	64	basic	basic	ADJ
ejpam-5733	3	65	sciences	science	NOUN
ejpam-5733	3	66	,	,	PUNCT
ejpam-5733	3	67	high	high	ADJ
ejpam-5733	3	68	institute	institute	NOUN
ejpam-5733	3	69	for	for	ADP
ejpam-5733	3	70	engineering	engineering	NOUN
ejpam-5733	3	71	and	and	CCONJ
ejpam-5733	3	72	technology	technology	NOUN
ejpam-5733	3	73	,	,	PUNCT
ejpam-5733	3	74	sohag	sohag	NOUN
ejpam-5733	3	75	,	,	PUNCT
ejpam-5733	3	76	egypt	egypt	PROPN
ejpam-5733	3	77	abstract	abstract	NOUN
ejpam-5733	3	78	.	.	PUNCT
ejpam-5733	4	1	in	in	ADP
ejpam-5733	4	2	this	this	DET
ejpam-5733	4	3	paper	paper	NOUN
ejpam-5733	4	4	,	,	PUNCT
ejpam-5733	4	5	we	we	PRON
ejpam-5733	4	6	introduce	introduce	VERB
ejpam-5733	4	7	the	the	DET
ejpam-5733	4	8	notion	notion	NOUN
ejpam-5733	4	9	of	of	ADP
ejpam-5733	4	10	r	r	NOUN
ejpam-5733	4	11	-	-	PUNCT
ejpam-5733	4	12	fuzzy	fuzzy	ADJ
ejpam-5733	4	13	soft	soft	ADJ
ejpam-5733	4	14	δ	δ	NOUN
ejpam-5733	4	15	-	-	ADJ
ejpam-5733	4	16	open	open	ADJ
ejpam-5733	4	17	sets	set	NOUN
ejpam-5733	4	18	on	on	ADP
ejpam-5733	4	19	fuzzy	fuzzy	ADJ
ejpam-5733	4	20	soft	soft	ADJ
ejpam-5733	4	21	topological	topological	ADJ
ejpam-5733	4	22	spaces	space	NOUN
ejpam-5733	4	23	in	in	ADP
ejpam-5733	4	24	the	the	DET
ejpam-5733	4	25	sense	sense	NOUN
ejpam-5733	4	26	of	of	ADP
ejpam-5733	4	27	šostak	šostak	NOUN
ejpam-5733	4	28	.	.	PUNCT
ejpam-5733	5	1	furthermore	furthermore	ADV
ejpam-5733	5	2	,	,	PUNCT
ejpam-5733	5	3	we	we	PRON
ejpam-5733	5	4	define	define	VERB
ejpam-5733	5	5	and	and	CCONJ
ejpam-5733	5	6	characterize	characterize	VERB
ejpam-5733	5	7	the	the	DET
ejpam-5733	5	8	notions	notion	NOUN
ejpam-5733	5	9	of	of	ADP
ejpam-5733	5	10	fuzzy	fuzzy	ADJ
ejpam-5733	5	11	soft	soft	ADJ
ejpam-5733	5	12	δ	δ	NOUN
ejpam-5733	5	13	-	-	NOUN
ejpam-5733	5	14	closure	closure	NOUN
ejpam-5733	5	15	(	(	PUNCT
ejpam-5733	5	16	δ	δ	NOUN
ejpam-5733	5	17	-	-	NOUN
ejpam-5733	5	18	interior	interior	ADJ
ejpam-5733	5	19	)	)	PUNCT
ejpam-5733	5	20	operators	operator	NOUN
ejpam-5733	5	21	using	use	VERB
ejpam-5733	5	22	r	r	NOUN
ejpam-5733	5	23	-	-	PUNCT
ejpam-5733	5	24	fuzzy	fuzzy	ADJ
ejpam-5733	5	25	soft	soft	ADJ
ejpam-5733	5	26	δ	δ	NOUN
ejpam-5733	5	27	-	-	PUNCT
ejpam-5733	5	28	closed	closed	ADJ
ejpam-5733	5	29	(	(	PUNCT
ejpam-5733	5	30	δ	δ	NOUN
ejpam-5733	5	31	-	-	ADJ
ejpam-5733	5	32	open	open	ADJ
ejpam-5733	5	33	)	)	PUNCT
ejpam-5733	5	34	sets	set	NOUN
ejpam-5733	5	35	.	.	PUNCT
ejpam-5733	6	1	after	after	ADP
ejpam-5733	6	2	that	that	PRON
ejpam-5733	6	3	,	,	PUNCT
ejpam-5733	6	4	we	we	PRON
ejpam-5733	6	5	explore	explore	VERB
ejpam-5733	6	6	the	the	DET
ejpam-5733	6	7	notions	notion	NOUN
ejpam-5733	6	8	of	of	ADP
ejpam-5733	6	9	fuzzy	fuzzy	ADJ
ejpam-5733	6	10	soft	soft	ADJ
ejpam-5733	6	11	δ	δ	NOUN
ejpam-5733	6	12	-	-	ADJ
ejpam-5733	6	13	continuous	continuous	ADJ
ejpam-5733	6	14	(	(	PUNCT
ejpam-5733	6	15	semi	semi	ADJ
ejpam-5733	6	16	-	-	ADJ
ejpam-5733	6	17	continuous	continuous	ADJ
ejpam-5733	6	18	and	and	CCONJ
ejpam-5733	6	19	pre	pre	ADJ
ejpam-5733	6	20	-	-	ADJ
ejpam-5733	6	21	continuous	continuous	ADJ
ejpam-5733	6	22	)	)	PUNCT
ejpam-5733	6	23	functions	function	NOUN
ejpam-5733	6	24	,	,	PUNCT
ejpam-5733	6	25	which	which	PRON
ejpam-5733	6	26	are	be	AUX
ejpam-5733	6	27	weaker	weak	ADJ
ejpam-5733	6	28	forms	form	NOUN
ejpam-5733	6	29	of	of	ADP
ejpam-5733	6	30	fuzzy	fuzzy	ADJ
ejpam-5733	6	31	soft	soft	ADJ
ejpam-5733	6	32	continuity	continuity	NOUN
ejpam-5733	6	33	.	.	PUNCT
ejpam-5733	7	1	moreover	moreover	ADV
ejpam-5733	7	2	,	,	PUNCT
ejpam-5733	7	3	we	we	PRON
ejpam-5733	7	4	study	study	VERB
ejpam-5733	7	5	some	some	DET
ejpam-5733	7	6	properties	property	NOUN
ejpam-5733	7	7	of	of	ADP
ejpam-5733	7	8	these	these	DET
ejpam-5733	7	9	functions	function	NOUN
ejpam-5733	7	10	along	along	ADP
ejpam-5733	7	11	with	with	ADP
ejpam-5733	7	12	their	their	PRON
ejpam-5733	7	13	mutual	mutual	ADJ
ejpam-5733	7	14	relationships	relationship	NOUN
ejpam-5733	7	15	with	with	ADP
ejpam-5733	7	16	the	the	DET
ejpam-5733	7	17	help	help	NOUN
ejpam-5733	7	18	of	of	ADP
ejpam-5733	7	19	some	some	DET
ejpam-5733	7	20	problems	problem	NOUN
ejpam-5733	7	21	.	.	PUNCT
ejpam-5733	8	1	we	we	PRON
ejpam-5733	8	2	also	also	ADV
ejpam-5733	8	3	present	present	VERB
ejpam-5733	8	4	a	a	DET
ejpam-5733	8	5	decomposition	decomposition	NOUN
ejpam-5733	8	6	of	of	ADP
ejpam-5733	8	7	fuzzy	fuzzy	ADJ
ejpam-5733	8	8	soft	soft	ADJ
ejpam-5733	8	9	semi	semi	ADJ
ejpam-5733	8	10	-	-	NOUN
ejpam-5733	8	11	continuity	continuity	NOUN
ejpam-5733	8	12	and	and	CCONJ
ejpam-5733	8	13	a	a	DET
ejpam-5733	8	14	decomposition	decomposition	NOUN
ejpam-5733	8	15	of	of	ADP
ejpam-5733	8	16	fuzzy	fuzzy	ADJ
ejpam-5733	8	17	soft	soft	ADJ
ejpam-5733	8	18	α	α	NOUN
ejpam-5733	8	19	-	-	NOUN
ejpam-5733	8	20	continuity	continuity	NOUN
ejpam-5733	8	21	.	.	PUNCT
ejpam-5733	9	1	additionally	additionally	ADV
ejpam-5733	9	2	,	,	PUNCT
ejpam-5733	9	3	as	as	ADP
ejpam-5733	9	4	a	a	DET
ejpam-5733	9	5	weaker	weak	ADJ
ejpam-5733	9	6	form	form	NOUN
ejpam-5733	9	7	of	of	ADP
ejpam-5733	9	8	fuzzy	fuzzy	ADJ
ejpam-5733	9	9	soft	soft	ADJ
ejpam-5733	9	10	continuity	continuity	NOUN
ejpam-5733	9	11	,	,	PUNCT
ejpam-5733	9	12	we	we	PRON
ejpam-5733	9	13	define	define	VERB
ejpam-5733	9	14	and	and	CCONJ
ejpam-5733	9	15	study	study	VERB
ejpam-5733	9	16	the	the	DET
ejpam-5733	9	17	notions	notion	NOUN
ejpam-5733	9	18	of	of	ADP
ejpam-5733	9	19	fuzzy	fuzzy	ADJ
ejpam-5733	9	20	soft	soft	ADJ
ejpam-5733	9	21	almost	almost	ADV
ejpam-5733	9	22	(	(	PUNCT
ejpam-5733	9	23	weakly	weakly	ADJ
ejpam-5733	9	24	)	)	PUNCT
ejpam-5733	9	25	continuous	continuous	ADJ
ejpam-5733	9	26	functions	function	NOUN
ejpam-5733	9	27	.	.	PUNCT
ejpam-5733	10	1	lastly	lastly	ADV
ejpam-5733	10	2	,	,	PUNCT
ejpam-5733	10	3	we	we	PRON
ejpam-5733	10	4	explore	explore	VERB
ejpam-5733	10	5	the	the	DET
ejpam-5733	10	6	notion	notion	NOUN
ejpam-5733	10	7	of	of	ADP
ejpam-5733	10	8	continuity	continuity	NOUN
ejpam-5733	10	9	in	in	ADP
ejpam-5733	10	10	a	a	DET
ejpam-5733	10	11	very	very	ADV
ejpam-5733	10	12	general	general	ADJ
ejpam-5733	10	13	setting	setting	NOUN
ejpam-5733	10	14	called	call	VERB
ejpam-5733	10	15	fuzzy	fuzzy	ADJ
ejpam-5733	10	16	soft	soft	ADJ
ejpam-5733	10	17	(	(	PUNCT
ejpam-5733	10	18	l	l	NOUN
ejpam-5733	10	19	,	,	PUNCT
ejpam-5733	10	20	m	m	PROPN
ejpam-5733	10	21	,	,	PUNCT
ejpam-5733	10	22	n	n	NOUN
ejpam-5733	10	23	,	,	PUNCT
ejpam-5733	10	24	o)-continuity	o)-continuity	NOUN
ejpam-5733	10	25	and	and	CCONJ
ejpam-5733	10	26	introduce	introduce	VERB
ejpam-5733	10	27	a	a	DET
ejpam-5733	10	28	historical	historical	ADJ
ejpam-5733	10	29	justification	justification	NOUN
ejpam-5733	10	30	.	.	PUNCT
ejpam-5733	11	1	2020	2020	NUM
ejpam-5733	11	2	mathematics	mathematic	NOUN
ejpam-5733	11	3	subject	subject	NOUN
ejpam-5733	11	4	classifications	classification	NOUN
ejpam-5733	11	5	:	:	PUNCT
ejpam-5733	11	6	54a05	54a05	NUM
ejpam-5733	11	7	,	,	PUNCT
ejpam-5733	11	8	54a40	54a40	NUM
ejpam-5733	11	9	,	,	PUNCT
ejpam-5733	11	10	54c05	54c05	NUM
ejpam-5733	11	11	,	,	PUNCT
ejpam-5733	11	12	54c08	54c08	NUM
ejpam-5733	11	13	,	,	PUNCT
ejpam-5733	11	14	54d05	54d05	NUM
ejpam-5733	11	15	key	key	ADJ
ejpam-5733	11	16	words	word	NOUN
ejpam-5733	11	17	and	and	CCONJ
ejpam-5733	11	18	phrases	phrase	NOUN
ejpam-5733	11	19	:	:	PUNCT
ejpam-5733	11	20	fuzzy	fuzzy	ADJ
ejpam-5733	11	21	soft	soft	ADJ
ejpam-5733	11	22	topological	topological	ADJ
ejpam-5733	11	23	space	space	NOUN
ejpam-5733	11	24	,	,	PUNCT
ejpam-5733	11	25	fuzzy	fuzzy	ADJ
ejpam-5733	11	26	soft	soft	ADJ
ejpam-5733	11	27	δ	δ	NOUN
ejpam-5733	11	28	-	-	PUNCT
ejpam-5733	11	29	closure	closure	NOUN
ejpam-5733	11	30	operator	operator	NOUN
ejpam-5733	11	31	,	,	PUNCT
ejpam-5733	11	32	r	r	NOUN
ejpam-5733	11	33	-	-	PUNCT
ejpam-5733	11	34	fuzzy	fuzzy	ADJ
ejpam-5733	11	35	soft	soft	ADJ
ejpam-5733	11	36	δ	δ	NOUN
ejpam-5733	11	37	-	-	PUNCT
ejpam-5733	11	38	connected	connect	VERB
ejpam-5733	11	39	set	set	NOUN
ejpam-5733	11	40	,	,	PUNCT
ejpam-5733	11	41	weaker	weak	ADJ
ejpam-5733	11	42	forms	form	NOUN
ejpam-5733	11	43	of	of	ADP
ejpam-5733	11	44	fuzzy	fuzzy	ADJ
ejpam-5733	11	45	soft	soft	ADJ
ejpam-5733	11	46	continuity	continuity	NOUN
ejpam-5733	11	47	,	,	PUNCT
ejpam-5733	11	48	fuzzy	fuzzy	ADJ
ejpam-5733	11	49	soft	soft	ADJ
ejpam-5733	11	50	(	(	PUNCT
ejpam-5733	11	51	l	l	NOUN
ejpam-5733	11	52	,	,	PUNCT
ejpam-5733	11	53	m	m	PROPN
ejpam-5733	11	54	,	,	PUNCT
ejpam-5733	11	55	n	n	CCONJ
ejpam-5733	11	56	,	,	PUNCT
ejpam-5733	11	57	o)-continuity	o)-continuity	NOUN
ejpam-5733	11	58	1	1	NUM
ejpam-5733	11	59	.	.	PUNCT
ejpam-5733	11	60	introduction	introduction	NOUN
ejpam-5733	11	61	and	and	CCONJ
ejpam-5733	11	62	preliminaries	preliminary	NOUN
ejpam-5733	11	63	in	in	ADP
ejpam-5733	11	64	[	[	X
ejpam-5733	11	65	25	25	NUM
ejpam-5733	11	66	]	]	PUNCT
ejpam-5733	11	67	,	,	PUNCT
ejpam-5733	11	68	the	the	DET
ejpam-5733	11	69	author	author	NOUN
ejpam-5733	11	70	proposed	propose	VERB
ejpam-5733	11	71	a	a	DET
ejpam-5733	11	72	novel	novel	ADJ
ejpam-5733	11	73	notion	notion	NOUN
ejpam-5733	11	74	of	of	ADP
ejpam-5733	11	75	soft	soft	ADJ
ejpam-5733	11	76	set	set	NOUN
ejpam-5733	11	77	theory	theory	NOUN
ejpam-5733	11	78	,	,	PUNCT
ejpam-5733	11	79	which	which	PRON
ejpam-5733	11	80	is	be	AUX
ejpam-5733	11	81	a	a	DET
ejpam-5733	11	82	completely	completely	ADV
ejpam-5733	11	83	new	new	ADJ
ejpam-5733	11	84	approach	approach	NOUN
ejpam-5733	11	85	for	for	ADP
ejpam-5733	11	86	modeling	model	VERB
ejpam-5733	11	87	uncertainty	uncertainty	NOUN
ejpam-5733	11	88	and	and	CCONJ
ejpam-5733	11	89	vagueness	vagueness	NOUN
ejpam-5733	11	90	.	.	PUNCT
ejpam-5733	12	1	he	he	PRON
ejpam-5733	12	2	studied	study	VERB
ejpam-5733	12	3	many	many	ADJ
ejpam-5733	12	4	applications	application	NOUN
ejpam-5733	12	5	of	of	ADP
ejpam-5733	12	6	this	this	DET
ejpam-5733	12	7	theory	theory	NOUN
ejpam-5733	12	8	in	in	ADP
ejpam-5733	12	9	solving	solve	VERB
ejpam-5733	12	10	different	different	ADJ
ejpam-5733	12	11	problems	problem	NOUN
ejpam-5733	12	12	in	in	ADP
ejpam-5733	12	13	engineering	engineering	NOUN
ejpam-5733	12	14	,	,	PUNCT
ejpam-5733	12	15	social	social	ADJ
ejpam-5733	12	16	science	science	NOUN
ejpam-5733	12	17	,	,	PUNCT
ejpam-5733	12	18	medical	medical	ADJ
ejpam-5733	12	19	science	science	NOUN
ejpam-5733	12	20	,	,	PUNCT
ejpam-5733	12	21	etc	etc	X
ejpam-5733	12	22	.	.	X
ejpam-5733	13	1	the	the	DET
ejpam-5733	13	2	notion	notion	NOUN
ejpam-5733	13	3	of	of	ADP
ejpam-5733	13	4	soft	soft	ADJ
ejpam-5733	13	5	sets	set	NOUN
ejpam-5733	13	6	was	be	AUX
ejpam-5733	13	7	used	use	VERB
ejpam-5733	13	8	to	to	PART
ejpam-5733	13	9	define	define	VERB
ejpam-5733	13	10	soft	soft	ADJ
ejpam-5733	13	11	topological	topological	ADJ
ejpam-5733	13	12	spaces	space	NOUN
ejpam-5733	13	13	in	in	ADP
ejpam-5733	13	14	[	[	X
ejpam-5733	13	15	31	31	NUM
ejpam-5733	13	16	]	]	PUNCT
ejpam-5733	13	17	.	.	PUNCT
ejpam-5733	14	1	the	the	DET
ejpam-5733	14	2	method	method	NOUN
ejpam-5733	14	3	in	in	ADP
ejpam-5733	14	4	[	[	X
ejpam-5733	14	5	31	31	NUM
ejpam-5733	14	6	]	]	PUNCT
ejpam-5733	14	7	was	be	AUX
ejpam-5733	14	8	particularly	particularly	ADV
ejpam-5733	14	9	important	important	ADJ
ejpam-5733	14	10	in	in	ADP
ejpam-5733	14	11	the	the	DET
ejpam-5733	14	12	development	development	NOUN
ejpam-5733	14	13	of	of	ADP
ejpam-5733	14	14	the	the	DET
ejpam-5733	14	15	field	field	NOUN
ejpam-5733	14	16	of	of	ADP
ejpam-5733	14	17	soft	soft	ADJ
ejpam-5733	14	18	topology	topology	NOUN
ejpam-5733	14	19	(	(	PUNCT
ejpam-5733	14	20	see	see	VERB
ejpam-5733	14	21	[	[	X
ejpam-5733	14	22	6	6	NUM
ejpam-5733	14	23	,	,	PUNCT
ejpam-5733	14	24	19	19	NUM
ejpam-5733	14	25	,	,	PUNCT
ejpam-5733	14	26	39	39	NUM
ejpam-5733	14	27	,	,	PUNCT
ejpam-5733	14	28	44	44	NUM
ejpam-5733	14	29	]	]	PUNCT
ejpam-5733	14	30	)	)	PUNCT
ejpam-5733	14	31	.	.	PUNCT
ejpam-5733	15	1	generalizations	generalization	NOUN
ejpam-5733	15	2	of	of	ADP
ejpam-5733	15	3	soft	soft	ADJ
ejpam-5733	15	4	open	open	ADJ
ejpam-5733	15	5	sets	set	NOUN
ejpam-5733	15	6	play	play	VERB
ejpam-5733	15	7	an	an	DET
ejpam-5733	15	8	effective	effective	ADJ
ejpam-5733	15	9	role	role	NOUN
ejpam-5733	15	10	in	in	ADP
ejpam-5733	15	11	soft	soft	ADJ
ejpam-5733	15	12	topology	topology	NOUN
ejpam-5733	15	13	through	through	ADP
ejpam-5733	15	14	their	their	PRON
ejpam-5733	15	15	use	use	NOUN
ejpam-5733	15	16	to	to	ADP
ejpam-5733	15	17	∗corresponding	∗corresponde	VERB
ejpam-5733	15	18	author	author	NOUN
ejpam-5733	15	19	.	.	PUNCT
ejpam-5733	16	1	doi	doi	NOUN
ejpam-5733	16	2	:	:	PUNCT
ejpam-5733	16	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5733	https://doi.org/10.29020/nybg.ejpam.v18i1.5733	ADJ
ejpam-5733	16	4	email	email	NOUN
ejpam-5733	16	5	addresses	address	NOUN
ejpam-5733	16	6	:	:	PUNCT
ejpam-5733	16	7	iealshamri@uhb.edu.sa	iealshamri@uhb.edu.sa	PROPN
ejpam-5733	16	8	(	(	PUNCT
ejpam-5733	16	9	i.	i.	PROPN
ejpam-5733	16	10	alshammari	alshammari	PROPN
ejpam-5733	16	11	)	)	PUNCT
ejpam-5733	16	12	,	,	PUNCT
ejpam-5733	16	13	osama.taha2015@yahoo.com	osama.taha2015@yahoo.com	NUM
ejpam-5733	16	14	(	(	PUNCT
ejpam-5733	16	15	o.	o.	PROPN
ejpam-5733	16	16	m.	m.	PROPN
ejpam-5733	16	17	taha	taha	PROPN
ejpam-5733	16	18	)	)	PUNCT
ejpam-5733	16	19	,	,	PUNCT
ejpam-5733	16	20	mkamel	mkamel	X
ejpam-5733	17	1	bably@yahoo.com	bably@yahoo.com	PROPN
ejpam-5733	18	1	(	(	PUNCT
ejpam-5733	18	2	m.	m.	PROPN
ejpam-5733	18	3	k.	k.	PROPN
ejpam-5733	19	1	el	el	PROPN
ejpam-5733	19	2	-	-	PROPN
ejpam-5733	19	3	bably	bably	ADV
ejpam-5733	19	4	)	)	PUNCT
ejpam-5733	19	5	,	,	PUNCT
ejpam-5733	19	6	imtaha2010@yahoo.com	imtaha2010@yahoo.com	X
ejpam-5733	19	7	(	(	PUNCT
ejpam-5733	19	8	i.	i.	PROPN
ejpam-5733	19	9	m.	m.	PROPN
ejpam-5733	19	10	taha	taha	PROPN
ejpam-5733	19	11	)	)	PUNCT
ejpam-5733	19	12	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5733	20	1	1	1	NUM
ejpam-5733	20	2	copyright	copyright	NOUN
ejpam-5733	20	3	:	:	PUNCT
ejpam-5733	20	4	©	©	PROPN
ejpam-5733	20	5	2025	2025	NUM
ejpam-5733	20	6	the	the	DET
ejpam-5733	20	7	author(s	author(s	NOUN
ejpam-5733	20	8	)	)	PUNCT
ejpam-5733	20	9	.	.	PUNCT
ejpam-5733	21	1	(	(	PUNCT
ejpam-5733	21	2	cc	cc	NOUN
ejpam-5733	21	3	by	by	ADP
ejpam-5733	21	4	-	-	PUNCT
ejpam-5733	21	5	nc	nc	PROPN
ejpam-5733	21	6	4.0	4.0	NUM
ejpam-5733	21	7	)	)	PUNCT
ejpam-5733	21	8	i.	i.	NOUN
ejpam-5733	21	9	alshammari	alshammari	PROPN
ejpam-5733	21	10	et	et	PROPN
ejpam-5733	21	11	al	al	PROPN
ejpam-5733	21	12	.	.	PUNCT
ejpam-5733	21	13	/	/	SYM
ejpam-5733	21	14	eur	eur	PROPN
ejpam-5733	21	15	.	.	PUNCT
ejpam-5733	22	1	j.	j.	PROPN
ejpam-5733	22	2	pure	pure	PROPN
ejpam-5733	22	3	appl	appl	PROPN
ejpam-5733	22	4	.	.	PROPN
ejpam-5733	22	5	math	math	PROPN
ejpam-5733	22	6	,	,	PUNCT
ejpam-5733	22	7	18	18	NUM
ejpam-5733	22	8	(	(	PUNCT
ejpam-5733	22	9	1	1	NUM
ejpam-5733	22	10	)	)	PUNCT
ejpam-5733	22	11	(	(	PUNCT
ejpam-5733	22	12	2025	2025	NUM
ejpam-5733	22	13	)	)	PUNCT
ejpam-5733	22	14	,	,	PUNCT
ejpam-5733	22	15	5733	5733	NUM
ejpam-5733	22	16	2	2	NUM
ejpam-5733	22	17	of	of	ADP
ejpam-5733	22	18	21	21	NUM
ejpam-5733	22	19	improve	improve	VERB
ejpam-5733	22	20	on	on	ADP
ejpam-5733	22	21	some	some	DET
ejpam-5733	22	22	known	know	VERB
ejpam-5733	22	23	results	result	NOUN
ejpam-5733	22	24	or	or	CCONJ
ejpam-5733	22	25	to	to	PART
ejpam-5733	22	26	open	open	VERB
ejpam-5733	22	27	the	the	DET
ejpam-5733	22	28	door	door	NOUN
ejpam-5733	22	29	to	to	PART
ejpam-5733	22	30	explore	explore	VERB
ejpam-5733	22	31	some	some	PRON
ejpam-5733	22	32	of	of	ADP
ejpam-5733	22	33	the	the	DET
ejpam-5733	22	34	soft	soft	ADJ
ejpam-5733	22	35	topological	topological	ADJ
ejpam-5733	22	36	notions	notion	NOUN
ejpam-5733	22	37	such	such	ADJ
ejpam-5733	22	38	as	as	ADP
ejpam-5733	22	39	soft	soft	ADJ
ejpam-5733	22	40	separation	separation	NOUN
ejpam-5733	22	41	axioms	axiom	NOUN
ejpam-5733	22	42	[	[	X
ejpam-5733	22	43	21	21	NUM
ejpam-5733	22	44	]	]	X
ejpam-5733	22	45	,	,	PUNCT
ejpam-5733	22	46	soft	soft	ADJ
ejpam-5733	22	47	connectedness	connectedness	NOUN
ejpam-5733	22	48	[	[	X
ejpam-5733	22	49	40	40	NUM
ejpam-5733	22	50	,	,	PUNCT
ejpam-5733	22	51	42	42	NUM
ejpam-5733	22	52	]	]	PUNCT
ejpam-5733	22	53	,	,	PUNCT
ejpam-5733	22	54	soft	soft	ADJ
ejpam-5733	22	55	continuity	continuity	NOUN
ejpam-5733	22	56	[	[	X
ejpam-5733	22	57	26	26	NUM
ejpam-5733	22	58	]	]	PUNCT
ejpam-5733	22	59	,	,	PUNCT
ejpam-5733	22	60	etc	etc	X
ejpam-5733	22	61	.	.	X
ejpam-5733	22	62	akdag	akdag	PROPN
ejpam-5733	22	63	and	and	CCONJ
ejpam-5733	22	64	ozkan	ozkan	X
ejpam-5733	23	1	[	[	X
ejpam-5733	23	2	3	3	NUM
ejpam-5733	23	3	]	]	PUNCT
ejpam-5733	23	4	introduced	introduce	VERB
ejpam-5733	23	5	and	and	CCONJ
ejpam-5733	23	6	studied	study	VERB
ejpam-5733	23	7	the	the	DET
ejpam-5733	23	8	notion	notion	NOUN
ejpam-5733	23	9	of	of	ADP
ejpam-5733	23	10	soft	soft	ADJ
ejpam-5733	23	11	α	α	NOUN
ejpam-5733	23	12	-	-	ADJ
ejpam-5733	23	13	open	open	ADJ
ejpam-5733	23	14	sets	set	NOUN
ejpam-5733	23	15	in	in	ADP
ejpam-5733	23	16	soft	soft	ADJ
ejpam-5733	23	17	topological	topological	ADJ
ejpam-5733	23	18	spaces	space	NOUN
ejpam-5733	23	19	.	.	PUNCT
ejpam-5733	24	1	also	also	ADV
ejpam-5733	24	2	,	,	PUNCT
ejpam-5733	24	3	the	the	DET
ejpam-5733	24	4	notion	notion	NOUN
ejpam-5733	24	5	of	of	ADP
ejpam-5733	24	6	soft	soft	ADJ
ejpam-5733	24	7	β	β	NOUN
ejpam-5733	24	8	-	-	ADJ
ejpam-5733	24	9	open	open	ADJ
ejpam-5733	24	10	sets	set	NOUN
ejpam-5733	24	11	was	be	AUX
ejpam-5733	24	12	introduced	introduce	VERB
ejpam-5733	24	13	and	and	CCONJ
ejpam-5733	24	14	studied	study	VERB
ejpam-5733	24	15	by	by	ADP
ejpam-5733	24	16	the	the	DET
ejpam-5733	24	17	authors	author	NOUN
ejpam-5733	24	18	of	of	ADP
ejpam-5733	24	19	[	[	X
ejpam-5733	24	20	2	2	NUM
ejpam-5733	24	21	,	,	PUNCT
ejpam-5733	24	22	18	18	NUM
ejpam-5733	24	23	]	]	PUNCT
ejpam-5733	24	24	.	.	PUNCT
ejpam-5733	25	1	al	al	PROPN
ejpam-5733	25	2	-	-	PUNCT
ejpam-5733	25	3	shami	shami	PROPN
ejpam-5733	25	4	et	et	PROPN
ejpam-5733	25	5	al	al	PROPN
ejpam-5733	25	6	.	.	PUNCT
ejpam-5733	26	1	[	[	X
ejpam-5733	26	2	4	4	X
ejpam-5733	26	3	]	]	PUNCT
ejpam-5733	26	4	defined	define	VERB
ejpam-5733	26	5	the	the	DET
ejpam-5733	26	6	notion	notion	NOUN
ejpam-5733	26	7	of	of	ADP
ejpam-5733	26	8	weakly	weakly	ADJ
ejpam-5733	26	9	soft	soft	ADJ
ejpam-5733	26	10	β	β	ADJ
ejpam-5733	26	11	-	-	ADJ
ejpam-5733	26	12	open	open	ADJ
ejpam-5733	26	13	sets	set	NOUN
ejpam-5733	26	14	and	and	CCONJ
ejpam-5733	26	15	obtained	obtain	VERB
ejpam-5733	26	16	weakly	weakly	ADJ
ejpam-5733	26	17	soft	soft	ADJ
ejpam-5733	26	18	β	β	NOUN
ejpam-5733	26	19	-	-	NOUN
ejpam-5733	26	20	continuity	continuity	NOUN
ejpam-5733	26	21	.	.	PUNCT
ejpam-5733	27	1	kaur	kaur	PROPN
ejpam-5733	27	2	et	et	PROPN
ejpam-5733	27	3	al	al	PROPN
ejpam-5733	27	4	.	.	PUNCT
ejpam-5733	28	1	[	[	X
ejpam-5733	28	2	22	22	NUM
ejpam-5733	28	3	]	]	PUNCT
ejpam-5733	28	4	initiated	initiate	VERB
ejpam-5733	28	5	a	a	DET
ejpam-5733	28	6	new	new	ADJ
ejpam-5733	28	7	approach	approach	NOUN
ejpam-5733	28	8	to	to	ADP
ejpam-5733	28	9	studying	study	VERB
ejpam-5733	28	10	soft	soft	ADJ
ejpam-5733	28	11	continuous	continuous	ADJ
ejpam-5733	28	12	functions	function	NOUN
ejpam-5733	28	13	.	.	PUNCT
ejpam-5733	29	1	moreover	moreover	ADV
ejpam-5733	29	2	,	,	PUNCT
ejpam-5733	29	3	many	many	ADJ
ejpam-5733	29	4	authors	author	NOUN
ejpam-5733	29	5	have	have	AUX
ejpam-5733	29	6	contributed	contribute	VERB
ejpam-5733	29	7	to	to	ADP
ejpam-5733	29	8	the	the	DET
ejpam-5733	29	9	theory	theory	NOUN
ejpam-5733	29	10	of	of	ADP
ejpam-5733	29	11	soft	soft	ADJ
ejpam-5733	29	12	sets	set	NOUN
ejpam-5733	29	13	in	in	ADP
ejpam-5733	29	14	the	the	DET
ejpam-5733	29	15	different	different	ADJ
ejpam-5733	29	16	fields	field	NOUN
ejpam-5733	29	17	such	such	ADJ
ejpam-5733	29	18	as	as	ADP
ejpam-5733	29	19	topology	topology	NOUN
ejpam-5733	29	20	,	,	PUNCT
ejpam-5733	29	21	algebra	algebra	NOUN
ejpam-5733	29	22	;	;	PUNCT
ejpam-5733	29	23	see	see	VERB
ejpam-5733	29	24	[	[	X
ejpam-5733	29	25	7	7	NUM
ejpam-5733	29	26	,	,	PUNCT
ejpam-5733	29	27	10	10	NUM
ejpam-5733	29	28	,	,	PUNCT
ejpam-5733	29	29	11	11	NUM
ejpam-5733	29	30	,	,	PUNCT
ejpam-5733	29	31	16	16	NUM
ejpam-5733	29	32	,	,	PUNCT
ejpam-5733	29	33	17	17	NUM
ejpam-5733	29	34	,	,	PUNCT
ejpam-5733	29	35	27	27	NUM
ejpam-5733	29	36	,	,	PUNCT
ejpam-5733	29	37	30	30	NUM
ejpam-5733	29	38	]	]	PUNCT
ejpam-5733	29	39	.	.	PUNCT
ejpam-5733	30	1	maji	maji	PROPN
ejpam-5733	30	2	et	et	PROPN
ejpam-5733	30	3	al	al	PROPN
ejpam-5733	30	4	.	.	PUNCT
ejpam-5733	31	1	[	[	X
ejpam-5733	31	2	23	23	NUM
ejpam-5733	31	3	]	]	PUNCT
ejpam-5733	31	4	defined	define	VERB
ejpam-5733	31	5	the	the	DET
ejpam-5733	31	6	notion	notion	NOUN
ejpam-5733	31	7	of	of	ADP
ejpam-5733	31	8	fuzzy	fuzzy	ADJ
ejpam-5733	31	9	soft	soft	ADJ
ejpam-5733	31	10	sets	set	NOUN
ejpam-5733	31	11	which	which	PRON
ejpam-5733	31	12	combines	combine	VERB
ejpam-5733	31	13	soft	soft	ADJ
ejpam-5733	31	14	sets	set	NOUN
ejpam-5733	31	15	[	[	X
ejpam-5733	31	16	25	25	NUM
ejpam-5733	31	17	]	]	PUNCT
ejpam-5733	31	18	and	and	CCONJ
ejpam-5733	31	19	fuzzy	fuzzy	ADJ
ejpam-5733	31	20	sets	set	NOUN
ejpam-5733	31	21	[	[	X
ejpam-5733	31	22	43	43	NUM
ejpam-5733	31	23	]	]	PUNCT
ejpam-5733	31	24	.	.	PUNCT
ejpam-5733	32	1	the	the	DET
ejpam-5733	32	2	notion	notion	NOUN
ejpam-5733	32	3	of	of	ADP
ejpam-5733	32	4	fuzzy	fuzzy	ADJ
ejpam-5733	32	5	soft	soft	ADJ
ejpam-5733	32	6	topology	topology	NOUN
ejpam-5733	32	7	was	be	AUX
ejpam-5733	32	8	defined	define	VERB
ejpam-5733	32	9	and	and	CCONJ
ejpam-5733	32	10	some	some	PRON
ejpam-5733	32	11	of	of	ADP
ejpam-5733	32	12	its	its	PRON
ejpam-5733	32	13	properties	property	NOUN
ejpam-5733	32	14	such	such	ADJ
ejpam-5733	32	15	as	as	ADP
ejpam-5733	32	16	fuzzy	fuzzy	ADJ
ejpam-5733	32	17	soft	soft	ADJ
ejpam-5733	32	18	continuity	continuity	NOUN
ejpam-5733	32	19	,	,	PUNCT
ejpam-5733	32	20	interior	interior	ADJ
ejpam-5733	32	21	fuzzy	fuzzy	ADJ
ejpam-5733	32	22	soft	soft	ADJ
ejpam-5733	32	23	set	set	NOUN
ejpam-5733	32	24	,	,	PUNCT
ejpam-5733	32	25	closure	closure	NOUN
ejpam-5733	32	26	fuzzy	fuzzy	ADJ
ejpam-5733	32	27	soft	soft	ADJ
ejpam-5733	32	28	set	set	NOUN
ejpam-5733	32	29	,	,	PUNCT
ejpam-5733	32	30	and	and	CCONJ
ejpam-5733	32	31	fuzzy	fuzzy	ADJ
ejpam-5733	32	32	soft	soft	ADJ
ejpam-5733	32	33	subspace	subspace	NOUN
ejpam-5733	32	34	topology	topology	NOUN
ejpam-5733	32	35	were	be	AUX
ejpam-5733	32	36	obtained	obtain	VERB
ejpam-5733	32	37	in	in	ADP
ejpam-5733	32	38	[	[	X
ejpam-5733	32	39	15	15	NUM
ejpam-5733	32	40	,	,	PUNCT
ejpam-5733	32	41	20	20	NUM
ejpam-5733	32	42	]	]	PUNCT
ejpam-5733	32	43	based	base	VERB
ejpam-5733	32	44	on	on	ADP
ejpam-5733	32	45	fuzzy	fuzzy	ADJ
ejpam-5733	32	46	topologies	topology	NOUN
ejpam-5733	32	47	in	in	ADP
ejpam-5733	32	48	šostaks	šostak	NOUN
ejpam-5733	32	49	sense	sense	NOUN
ejpam-5733	32	50	[	[	X
ejpam-5733	32	51	41	41	NUM
ejpam-5733	32	52	]	]	PUNCT
ejpam-5733	32	53	.	.	PUNCT
ejpam-5733	33	1	a	a	DET
ejpam-5733	33	2	novel	novel	ADJ
ejpam-5733	33	3	approach	approach	NOUN
ejpam-5733	33	4	to	to	ADP
ejpam-5733	33	5	studying	study	VERB
ejpam-5733	33	6	separation	separation	NOUN
ejpam-5733	33	7	axioms	axiom	NOUN
ejpam-5733	33	8	and	and	CCONJ
ejpam-5733	33	9	regularity	regularity	NOUN
ejpam-5733	33	10	axioms	axiom	NOUN
ejpam-5733	33	11	via	via	ADP
ejpam-5733	33	12	fuzzy	fuzzy	ADJ
ejpam-5733	33	13	soft	soft	ADJ
ejpam-5733	33	14	sets	set	NOUN
ejpam-5733	33	15	was	be	AUX
ejpam-5733	33	16	defined	define	VERB
ejpam-5733	33	17	by	by	ADP
ejpam-5733	33	18	the	the	DET
ejpam-5733	33	19	author	author	NOUN
ejpam-5733	33	20	of	of	ADP
ejpam-5733	33	21	[	[	X
ejpam-5733	33	22	32	32	NUM
ejpam-5733	33	23	,	,	PUNCT
ejpam-5733	33	24	36	36	NUM
ejpam-5733	33	25	]	]	PUNCT
ejpam-5733	33	26	.	.	PUNCT
ejpam-5733	34	1	the	the	DET
ejpam-5733	34	2	notion	notion	NOUN
ejpam-5733	34	3	of	of	ADP
ejpam-5733	34	4	r	r	NOUN
ejpam-5733	34	5	-	-	PUNCT
ejpam-5733	34	6	fuzzy	fuzzy	ADJ
ejpam-5733	34	7	soft	soft	ADJ
ejpam-5733	34	8	regularly	regularly	ADV
ejpam-5733	34	9	open	open	ADJ
ejpam-5733	34	10	sets	set	NOUN
ejpam-5733	34	11	was	be	AUX
ejpam-5733	34	12	defined	define	VERB
ejpam-5733	34	13	by	by	ADP
ejpam-5733	34	14	çetkin	çetkin	PROPN
ejpam-5733	34	15	and	and	CCONJ
ejpam-5733	34	16	aygün	aygün	NOUN
ejpam-5733	34	17	[	[	X
ejpam-5733	34	18	14	14	NUM
ejpam-5733	34	19	]	]	PUNCT
ejpam-5733	34	20	.	.	PUNCT
ejpam-5733	35	1	also	also	ADV
ejpam-5733	35	2	,	,	PUNCT
ejpam-5733	35	3	the	the	DET
ejpam-5733	35	4	notions	notion	NOUN
ejpam-5733	35	5	of	of	ADP
ejpam-5733	35	6	r	r	NOUN
ejpam-5733	35	7	-	-	PUNCT
ejpam-5733	35	8	fuzzy	fuzzy	ADJ
ejpam-5733	35	9	soft	soft	ADJ
ejpam-5733	35	10	β	β	NOUN
ejpam-5733	35	11	-	-	ADJ
ejpam-5733	35	12	open	open	ADJ
ejpam-5733	35	13	(	(	PUNCT
ejpam-5733	35	14	pre	pre	ADJ
ejpam-5733	35	15	-	-	ADJ
ejpam-5733	35	16	open	open	ADJ
ejpam-5733	35	17	)	)	PUNCT
ejpam-5733	35	18	sets	set	NOUN
ejpam-5733	35	19	were	be	AUX
ejpam-5733	35	20	also	also	ADV
ejpam-5733	35	21	introduced	introduce	VERB
ejpam-5733	35	22	by	by	ADP
ejpam-5733	35	23	taha	taha	PROPN
ejpam-5733	35	24	[	[	X
ejpam-5733	35	25	33	33	NUM
ejpam-5733	35	26	]	]	PUNCT
ejpam-5733	35	27	.	.	PUNCT
ejpam-5733	36	1	in	in	ADP
ejpam-5733	36	2	addition	addition	NOUN
ejpam-5733	36	3	,	,	PUNCT
ejpam-5733	36	4	several	several	ADJ
ejpam-5733	36	5	researchers	researcher	NOUN
ejpam-5733	36	6	have	have	AUX
ejpam-5733	36	7	contributed	contribute	VERB
ejpam-5733	36	8	to	to	ADP
ejpam-5733	36	9	the	the	DET
ejpam-5733	36	10	theory	theory	NOUN
ejpam-5733	36	11	of	of	ADP
ejpam-5733	36	12	fuzzy	fuzzy	ADJ
ejpam-5733	36	13	soft	soft	ADJ
ejpam-5733	36	14	sets	set	NOUN
ejpam-5733	36	15	in	in	ADP
ejpam-5733	36	16	many	many	ADJ
ejpam-5733	36	17	fields	field	NOUN
ejpam-5733	36	18	such	such	ADJ
ejpam-5733	36	19	as	as	ADP
ejpam-5733	36	20	topology	topology	NOUN
ejpam-5733	36	21	;	;	PUNCT
ejpam-5733	36	22	see	see	VERB
ejpam-5733	36	23	[	[	X
ejpam-5733	36	24	5	5	NUM
ejpam-5733	36	25	,	,	PUNCT
ejpam-5733	36	26	28	28	NUM
ejpam-5733	36	27	,	,	PUNCT
ejpam-5733	36	28	29	29	NUM
ejpam-5733	36	29	]	]	PUNCT
ejpam-5733	36	30	.	.	PUNCT
ejpam-5733	37	1	the	the	DET
ejpam-5733	37	2	organization	organization	NOUN
ejpam-5733	37	3	of	of	ADP
ejpam-5733	37	4	this	this	DET
ejpam-5733	37	5	paper	paper	NOUN
ejpam-5733	37	6	is	be	AUX
ejpam-5733	37	7	as	as	SCONJ
ejpam-5733	37	8	follows	follow	VERB
ejpam-5733	37	9	:	:	PUNCT
ejpam-5733	37	10	•	•	NOUN
ejpam-5733	37	11	in	in	ADP
ejpam-5733	37	12	section	section	NOUN
ejpam-5733	37	13	2	2	NUM
ejpam-5733	37	14	,	,	PUNCT
ejpam-5733	37	15	we	we	PRON
ejpam-5733	37	16	define	define	VERB
ejpam-5733	37	17	new	new	ADJ
ejpam-5733	37	18	types	type	NOUN
ejpam-5733	37	19	of	of	ADP
ejpam-5733	37	20	fuzzy	fuzzy	ADJ
ejpam-5733	37	21	soft	soft	ADJ
ejpam-5733	37	22	sets	set	NOUN
ejpam-5733	37	23	in	in	ADP
ejpam-5733	37	24	fuzzy	fuzzy	ADJ
ejpam-5733	37	25	soft	soft	ADJ
ejpam-5733	37	26	topological	topological	ADJ
ejpam-5733	37	27	spaces	space	NOUN
ejpam-5733	37	28	based	base	VERB
ejpam-5733	37	29	on	on	ADP
ejpam-5733	37	30	the	the	DET
ejpam-5733	37	31	paper	paper	NOUN
ejpam-5733	37	32	by	by	ADP
ejpam-5733	37	33	aygünoǧlu	aygünoǧlu	PROPN
ejpam-5733	37	34	et	et	PROPN
ejpam-5733	37	35	al	al	PROPN
ejpam-5733	37	36	.	.	PUNCT
ejpam-5733	38	1	[	[	X
ejpam-5733	38	2	20	20	NUM
ejpam-5733	38	3	]	]	PUNCT
ejpam-5733	38	4	.	.	PUNCT
ejpam-5733	39	1	also	also	ADV
ejpam-5733	39	2	,	,	PUNCT
ejpam-5733	39	3	the	the	DET
ejpam-5733	39	4	relations	relation	NOUN
ejpam-5733	39	5	of	of	ADP
ejpam-5733	39	6	these	these	DET
ejpam-5733	39	7	sets	set	NOUN
ejpam-5733	39	8	with	with	ADP
ejpam-5733	39	9	each	each	DET
ejpam-5733	39	10	other	other	ADJ
ejpam-5733	39	11	are	be	AUX
ejpam-5733	39	12	established	establish	VERB
ejpam-5733	39	13	with	with	ADP
ejpam-5733	39	14	the	the	DET
ejpam-5733	39	15	help	help	NOUN
ejpam-5733	39	16	of	of	ADP
ejpam-5733	39	17	some	some	DET
ejpam-5733	39	18	examples	example	NOUN
ejpam-5733	39	19	.	.	PUNCT
ejpam-5733	40	1	moreover	moreover	ADV
ejpam-5733	40	2	,	,	PUNCT
ejpam-5733	40	3	the	the	DET
ejpam-5733	40	4	concept	concept	NOUN
ejpam-5733	40	5	of	of	ADP
ejpam-5733	40	6	r	r	NOUN
ejpam-5733	40	7	-	-	PUNCT
ejpam-5733	40	8	fuzzy	fuzzy	ADJ
ejpam-5733	40	9	soft	soft	ADJ
ejpam-5733	40	10	δ	δ	NOUN
ejpam-5733	40	11	-	-	PUNCT
ejpam-5733	40	12	connected	connect	VERB
ejpam-5733	40	13	sets	set	NOUN
ejpam-5733	40	14	is	be	AUX
ejpam-5733	40	15	introduced	introduce	VERB
ejpam-5733	40	16	and	and	CCONJ
ejpam-5733	40	17	characterized	characterize	VERB
ejpam-5733	40	18	with	with	ADP
ejpam-5733	40	19	the	the	DET
ejpam-5733	40	20	help	help	NOUN
ejpam-5733	40	21	of	of	ADP
ejpam-5733	40	22	fuzzy	fuzzy	ADJ
ejpam-5733	40	23	soft	soft	ADJ
ejpam-5733	40	24	δ	δ	NOUN
ejpam-5733	40	25	-	-	PUNCT
ejpam-5733	40	26	closure	closure	NOUN
ejpam-5733	40	27	operators	operator	NOUN
ejpam-5733	40	28	.	.	PUNCT
ejpam-5733	41	1	•	•	NUM
ejpam-5733	41	2	in	in	ADP
ejpam-5733	41	3	section	section	NOUN
ejpam-5733	41	4	3	3	NUM
ejpam-5733	41	5	,	,	PUNCT
ejpam-5733	41	6	we	we	PRON
ejpam-5733	41	7	define	define	VERB
ejpam-5733	41	8	the	the	DET
ejpam-5733	41	9	concepts	concept	NOUN
ejpam-5733	41	10	of	of	ADP
ejpam-5733	41	11	fuzzy	fuzzy	ADJ
ejpam-5733	41	12	soft	soft	ADJ
ejpam-5733	41	13	δ	δ	NOUN
ejpam-5733	41	14	-	-	ADJ
ejpam-5733	41	15	continuous	continuous	ADJ
ejpam-5733	41	16	(	(	PUNCT
ejpam-5733	41	17	semi	semi	ADJ
ejpam-5733	41	18	-	-	ADJ
ejpam-5733	41	19	continuous	continuous	ADJ
ejpam-5733	41	20	and	and	CCONJ
ejpam-5733	41	21	pre	pre	ADJ
ejpam-5733	41	22	-	-	ADJ
ejpam-5733	41	23	continuous	continuous	ADJ
ejpam-5733	41	24	)	)	PUNCT
ejpam-5733	41	25	functions	function	NOUN
ejpam-5733	41	26	,	,	PUNCT
ejpam-5733	41	27	which	which	PRON
ejpam-5733	41	28	are	be	AUX
ejpam-5733	41	29	weaker	weak	ADJ
ejpam-5733	41	30	forms	form	NOUN
ejpam-5733	41	31	of	of	ADP
ejpam-5733	41	32	fuzzy	fuzzy	ADJ
ejpam-5733	41	33	soft	soft	ADJ
ejpam-5733	41	34	continuity	continuity	NOUN
ejpam-5733	41	35	[	[	X
ejpam-5733	41	36	20	20	NUM
ejpam-5733	41	37	]	]	PUNCT
ejpam-5733	41	38	.	.	PUNCT
ejpam-5733	42	1	some	some	DET
ejpam-5733	42	2	properties	property	NOUN
ejpam-5733	42	3	of	of	ADP
ejpam-5733	42	4	these	these	DET
ejpam-5733	42	5	functions	function	NOUN
ejpam-5733	42	6	along	along	ADP
ejpam-5733	42	7	with	with	ADP
ejpam-5733	42	8	their	their	PRON
ejpam-5733	42	9	mutual	mutual	ADJ
ejpam-5733	42	10	relationships	relationship	NOUN
ejpam-5733	42	11	are	be	AUX
ejpam-5733	42	12	discussed	discuss	VERB
ejpam-5733	42	13	.	.	PUNCT
ejpam-5733	43	1	also	also	ADV
ejpam-5733	43	2	,	,	PUNCT
ejpam-5733	43	3	a	a	DET
ejpam-5733	43	4	decomposition	decomposition	NOUN
ejpam-5733	43	5	of	of	ADP
ejpam-5733	43	6	fuzzy	fuzzy	ADJ
ejpam-5733	43	7	soft	soft	ADJ
ejpam-5733	43	8	semi	semi	ADJ
ejpam-5733	43	9	-	-	ADJ
ejpam-5733	43	10	continuity	continuity	NOUN
ejpam-5733	43	11	is	be	AUX
ejpam-5733	43	12	obtained	obtain	VERB
ejpam-5733	43	13	.	.	PUNCT
ejpam-5733	44	1	•	•	NUM
ejpam-5733	44	2	in	in	ADP
ejpam-5733	44	3	section	section	NOUN
ejpam-5733	44	4	4	4	NUM
ejpam-5733	44	5	,	,	PUNCT
ejpam-5733	44	6	as	as	ADP
ejpam-5733	44	7	a	a	DET
ejpam-5733	44	8	weaker	weak	ADJ
ejpam-5733	44	9	form	form	NOUN
ejpam-5733	44	10	of	of	ADP
ejpam-5733	44	11	a	a	DET
ejpam-5733	44	12	fuzzy	fuzzy	ADJ
ejpam-5733	44	13	soft	soft	ADJ
ejpam-5733	44	14	continuity	continuity	NOUN
ejpam-5733	44	15	,	,	PUNCT
ejpam-5733	44	16	the	the	DET
ejpam-5733	44	17	concepts	concept	NOUN
ejpam-5733	44	18	of	of	ADP
ejpam-5733	44	19	fuzzy	fuzzy	ADJ
ejpam-5733	44	20	soft	soft	ADJ
ejpam-5733	44	21	almost	almost	ADV
ejpam-5733	44	22	(	(	PUNCT
ejpam-5733	44	23	weakly	weakly	ADJ
ejpam-5733	44	24	)	)	PUNCT
ejpam-5733	44	25	continuous	continuous	ADJ
ejpam-5733	44	26	functions	function	NOUN
ejpam-5733	44	27	are	be	AUX
ejpam-5733	44	28	introduced	introduce	VERB
ejpam-5733	44	29	and	and	CCONJ
ejpam-5733	44	30	some	some	DET
ejpam-5733	44	31	properties	property	NOUN
ejpam-5733	44	32	are	be	AUX
ejpam-5733	44	33	specified	specify	VERB
ejpam-5733	44	34	.	.	PUNCT
ejpam-5733	45	1	also	also	ADV
ejpam-5733	45	2	,	,	PUNCT
ejpam-5733	45	3	we	we	PRON
ejpam-5733	45	4	show	show	VERB
ejpam-5733	45	5	that	that	SCONJ
ejpam-5733	45	6	fuzzy	fuzzy	ADJ
ejpam-5733	45	7	soft	soft	ADJ
ejpam-5733	45	8	continuity	continuity	NOUN
ejpam-5733	45	9	⇒	⇒	NOUN
ejpam-5733	45	10	fuzzy	fuzzy	ADJ
ejpam-5733	45	11	soft	soft	ADJ
ejpam-5733	45	12	almost	almost	ADV
ejpam-5733	45	13	continuity	continuity	NOUN
ejpam-5733	45	14	⇒	⇒	NOUN
ejpam-5733	45	15	fuzzy	fuzzy	ADJ
ejpam-5733	45	16	soft	soft	ADJ
ejpam-5733	45	17	weakly	weakly	ADJ
ejpam-5733	45	18	continuity	continuity	NOUN
ejpam-5733	45	19	,	,	PUNCT
ejpam-5733	45	20	but	but	CCONJ
ejpam-5733	45	21	the	the	DET
ejpam-5733	45	22	converse	converse	NOUN
ejpam-5733	45	23	may	may	AUX
ejpam-5733	45	24	not	not	PART
ejpam-5733	45	25	be	be	AUX
ejpam-5733	45	26	true	true	ADJ
ejpam-5733	45	27	.	.	PUNCT
ejpam-5733	46	1	in	in	ADP
ejpam-5733	46	2	addition	addition	NOUN
ejpam-5733	46	3	,	,	PUNCT
ejpam-5733	46	4	we	we	PRON
ejpam-5733	46	5	explore	explore	VERB
ejpam-5733	46	6	the	the	DET
ejpam-5733	46	7	notion	notion	NOUN
ejpam-5733	46	8	of	of	ADP
ejpam-5733	46	9	continuity	continuity	NOUN
ejpam-5733	46	10	in	in	ADP
ejpam-5733	46	11	a	a	DET
ejpam-5733	46	12	very	very	ADV
ejpam-5733	46	13	general	general	ADJ
ejpam-5733	46	14	setting	setting	NOUN
ejpam-5733	46	15	called	call	VERB
ejpam-5733	46	16	fuzzy	fuzzy	ADJ
ejpam-5733	46	17	soft	soft	ADJ
ejpam-5733	46	18	(	(	PUNCT
ejpam-5733	46	19	l	l	NOUN
ejpam-5733	46	20	,	,	PUNCT
ejpam-5733	46	21	m	m	PROPN
ejpam-5733	46	22	,	,	PUNCT
ejpam-5733	46	23	n	n	CCONJ
ejpam-5733	46	24	,	,	PUNCT
ejpam-5733	46	25	o)-continuous	o)-continuous	ADJ
ejpam-5733	46	26	functions	function	NOUN
ejpam-5733	46	27	and	and	CCONJ
ejpam-5733	46	28	a	a	DET
ejpam-5733	46	29	historical	historical	ADJ
ejpam-5733	46	30	justification	justification	NOUN
ejpam-5733	46	31	is	be	AUX
ejpam-5733	46	32	introduced	introduce	VERB
ejpam-5733	46	33	.	.	PUNCT
ejpam-5733	47	1	•	•	NUM
ejpam-5733	47	2	finally	finally	ADV
ejpam-5733	47	3	,	,	PUNCT
ejpam-5733	47	4	we	we	PRON
ejpam-5733	47	5	close	close	VERB
ejpam-5733	47	6	this	this	DET
ejpam-5733	47	7	paper	paper	NOUN
ejpam-5733	47	8	with	with	ADP
ejpam-5733	47	9	some	some	DET
ejpam-5733	47	10	conclusions	conclusion	NOUN
ejpam-5733	47	11	and	and	CCONJ
ejpam-5733	47	12	make	make	VERB
ejpam-5733	47	13	a	a	DET
ejpam-5733	47	14	plan	plan	NOUN
ejpam-5733	47	15	to	to	PART
ejpam-5733	47	16	suggest	suggest	VERB
ejpam-5733	47	17	some	some	DET
ejpam-5733	47	18	future	future	ADJ
ejpam-5733	47	19	works	work	NOUN
ejpam-5733	47	20	in	in	ADP
ejpam-5733	47	21	section	section	NOUN
ejpam-5733	47	22	5	5	NUM
ejpam-5733	47	23	.	.	PUNCT
ejpam-5733	48	1	throughout	throughout	ADP
ejpam-5733	48	2	this	this	DET
ejpam-5733	48	3	article	article	NOUN
ejpam-5733	48	4	,	,	PUNCT
ejpam-5733	48	5	nonempty	nonempty	NOUN
ejpam-5733	48	6	sets	set	NOUN
ejpam-5733	48	7	will	will	AUX
ejpam-5733	48	8	be	be	AUX
ejpam-5733	48	9	denoted	denote	VERB
ejpam-5733	48	10	by	by	ADP
ejpam-5733	48	11	u	u	PROPN
ejpam-5733	48	12	,	,	PUNCT
ejpam-5733	48	13	v	v	NUM
ejpam-5733	48	14	,	,	PUNCT
ejpam-5733	48	15	etc	etc	X
ejpam-5733	48	16	.	.	X
ejpam-5733	49	1	e	e	NOUN
ejpam-5733	49	2	is	be	AUX
ejpam-5733	49	3	the	the	DET
ejpam-5733	49	4	set	set	NOUN
ejpam-5733	49	5	of	of	ADP
ejpam-5733	49	6	all	all	DET
ejpam-5733	49	7	parameters	parameter	NOUN
ejpam-5733	49	8	for	for	ADP
ejpam-5733	49	9	u	u	NOUN
ejpam-5733	49	10	and	and	CCONJ
ejpam-5733	49	11	a	a	DET
ejpam-5733	49	12	⊆	⊆	NUM
ejpam-5733	49	13	e.	e.	PROPN
ejpam-5733	49	14	the	the	DET
ejpam-5733	49	15	family	family	NOUN
ejpam-5733	49	16	of	of	ADP
ejpam-5733	49	17	all	all	DET
ejpam-5733	49	18	fuzzy	fuzzy	ADJ
ejpam-5733	49	19	sets	set	NOUN
ejpam-5733	49	20	on	on	ADP
ejpam-5733	49	21	u	u	NOUN
ejpam-5733	49	22	is	be	AUX
ejpam-5733	49	23	denoted	denote	VERB
ejpam-5733	49	24	by	by	ADP
ejpam-5733	49	25	iu	iu	ADP
ejpam-5733	49	26	(	(	PUNCT
ejpam-5733	49	27	where	where	SCONJ
ejpam-5733	49	28	i.	i.	PROPN
ejpam-5733	49	29	alshammari	alshammari	PROPN
ejpam-5733	49	30	et	et	PROPN
ejpam-5733	49	31	al	al	PROPN
ejpam-5733	49	32	.	.	PUNCT
ejpam-5733	49	33	/	/	SYM
ejpam-5733	49	34	eur	eur	PROPN
ejpam-5733	49	35	.	.	PUNCT
ejpam-5733	50	1	j.	j.	PROPN
ejpam-5733	50	2	pure	pure	PROPN
ejpam-5733	50	3	appl	appl	PROPN
ejpam-5733	50	4	.	.	PROPN
ejpam-5733	50	5	math	math	PROPN
ejpam-5733	50	6	,	,	PUNCT
ejpam-5733	50	7	18	18	NUM
ejpam-5733	50	8	(	(	PUNCT
ejpam-5733	50	9	1	1	NUM
ejpam-5733	50	10	)	)	PUNCT
ejpam-5733	50	11	(	(	PUNCT
ejpam-5733	50	12	2025	2025	NUM
ejpam-5733	50	13	)	)	PUNCT
ejpam-5733	50	14	,	,	PUNCT
ejpam-5733	50	15	5733	5733	NUM
ejpam-5733	50	16	3	3	NUM
ejpam-5733	50	17	of	of	ADP
ejpam-5733	50	18	21	21	NUM
ejpam-5733	50	19	i	i	NOUN
ejpam-5733	50	20	◦	◦	NOUN
ejpam-5733	50	21	=	=	SYM
ejpam-5733	50	22	(	(	PUNCT
ejpam-5733	50	23	0	0	NUM
ejpam-5733	50	24	,	,	PUNCT
ejpam-5733	50	25	1	1	NUM
ejpam-5733	50	26	]	]	PUNCT
ejpam-5733	50	27	,	,	PUNCT
ejpam-5733	50	28	i	i	PRON
ejpam-5733	50	29	=	=	PUNCT
ejpam-5733	51	1	[	[	X
ejpam-5733	51	2	0	0	NUM
ejpam-5733	51	3	,	,	PUNCT
ejpam-5733	51	4	1	1	NUM
ejpam-5733	51	5	]	]	NUM
ejpam-5733	51	6	)	)	PUNCT
ejpam-5733	51	7	,	,	PUNCT
ejpam-5733	51	8	and	and	CCONJ
ejpam-5733	51	9	for	for	ADP
ejpam-5733	51	10	t	t	PROPN
ejpam-5733	51	11	∈	∈	PROPN
ejpam-5733	51	12	i	i	PRON
ejpam-5733	51	13	,	,	PUNCT
ejpam-5733	51	14	t(u	t(u	PROPN
ejpam-5733	51	15	)	)	PUNCT
ejpam-5733	51	16	=	=	SYM
ejpam-5733	51	17	t	t	PROPN
ejpam-5733	51	18	,	,	PUNCT
ejpam-5733	51	19	for	for	ADP
ejpam-5733	51	20	all	all	PRON
ejpam-5733	51	21	u	u	PROPN
ejpam-5733	51	22	∈	∈	NOUN
ejpam-5733	51	23	u.	u.	VERB
ejpam-5733	51	24	the	the	DET
ejpam-5733	51	25	following	follow	VERB
ejpam-5733	51	26	definitions	definition	NOUN
ejpam-5733	51	27	will	will	AUX
ejpam-5733	51	28	be	be	AUX
ejpam-5733	51	29	used	use	VERB
ejpam-5733	51	30	in	in	ADP
ejpam-5733	51	31	the	the	DET
ejpam-5733	51	32	next	next	ADJ
ejpam-5733	51	33	sections	section	NOUN
ejpam-5733	51	34	:	:	PUNCT
ejpam-5733	51	35	definition	definition	NOUN
ejpam-5733	51	36	1	1	NUM
ejpam-5733	51	37	.	.	PUNCT
ejpam-5733	52	1	[	[	X
ejpam-5733	52	2	1	1	NUM
ejpam-5733	52	3	,	,	PUNCT
ejpam-5733	52	4	13	13	NUM
ejpam-5733	52	5	,	,	PUNCT
ejpam-5733	52	6	20	20	NUM
ejpam-5733	52	7	]	]	PUNCT
ejpam-5733	52	8	a	a	DET
ejpam-5733	52	9	fuzzy	fuzzy	ADJ
ejpam-5733	52	10	soft	soft	ADJ
ejpam-5733	52	11	set	set	NOUN
ejpam-5733	52	12	fa	fa	NOUN
ejpam-5733	52	13	on	on	ADP
ejpam-5733	52	14	u	u	NOUN
ejpam-5733	52	15	is	be	AUX
ejpam-5733	52	16	a	a	DET
ejpam-5733	52	17	function	function	NOUN
ejpam-5733	52	18	from	from	ADP
ejpam-5733	52	19	e	e	NOUN
ejpam-5733	52	20	to	to	AUX
ejpam-5733	52	21	iu	iu	ADP
ejpam-5733	52	22	such	such	ADJ
ejpam-5733	52	23	that	that	DET
ejpam-5733	52	24	fa(e	fa(e	PUNCT
ejpam-5733	52	25	)	)	PUNCT
ejpam-5733	52	26	is	be	AUX
ejpam-5733	52	27	a	a	DET
ejpam-5733	52	28	fuzzy	fuzzy	ADJ
ejpam-5733	52	29	set	set	NOUN
ejpam-5733	52	30	on	on	ADP
ejpam-5733	52	31	u	u	PROPN
ejpam-5733	52	32	,	,	PUNCT
ejpam-5733	52	33	for	for	ADP
ejpam-5733	52	34	each	each	DET
ejpam-5733	52	35	e	e	PROPN
ejpam-5733	52	36	∈	∈	PROPN
ejpam-5733	52	37	a	a	PRON
ejpam-5733	52	38	and	and	CCONJ
ejpam-5733	52	39	fa(e	fa(e	NUM
ejpam-5733	52	40	)	)	PUNCT
ejpam-5733	53	1	=	=	SYM
ejpam-5733	53	2	0	0	PUNCT
ejpam-5733	53	3	,	,	PUNCT
ejpam-5733	53	4	if	if	SCONJ
ejpam-5733	53	5	e	e	PROPN
ejpam-5733	53	6	̸∈	̸∈	PROPN
ejpam-5733	53	7	a.	a.	VERB
ejpam-5733	53	8	the	the	DET
ejpam-5733	53	9	family	family	NOUN
ejpam-5733	53	10	of	of	ADP
ejpam-5733	53	11	all	all	DET
ejpam-5733	53	12	fuzzy	fuzzy	ADJ
ejpam-5733	53	13	soft	soft	ADJ
ejpam-5733	53	14	sets	set	NOUN
ejpam-5733	53	15	on	on	ADP
ejpam-5733	53	16	u	u	NOUN
ejpam-5733	53	17	is	be	AUX
ejpam-5733	53	18	denoted	denote	VERB
ejpam-5733	53	19	by	by	ADP
ejpam-5733	53	20	(	(	PUNCT
ejpam-5733	53	21	̃u	̃u	PROPN
ejpam-5733	53	22	,	,	PUNCT
ejpam-5733	53	23	e	e	NOUN
ejpam-5733	53	24	)	)	PUNCT
ejpam-5733	53	25	.	.	PUNCT
ejpam-5733	54	1	definition	definition	NOUN
ejpam-5733	54	2	2	2	NUM
ejpam-5733	54	3	.	.	PUNCT
ejpam-5733	55	1	[	[	X
ejpam-5733	55	2	24	24	NUM
ejpam-5733	55	3	]	]	PUNCT
ejpam-5733	55	4	a	a	DET
ejpam-5733	55	5	fuzzy	fuzzy	ADJ
ejpam-5733	55	6	soft	soft	ADJ
ejpam-5733	55	7	point	point	NOUN
ejpam-5733	55	8	eut	eut	NOUN
ejpam-5733	55	9	on	on	ADP
ejpam-5733	55	10	u	u	NOUN
ejpam-5733	55	11	is	be	AUX
ejpam-5733	55	12	a	a	DET
ejpam-5733	55	13	fuzzy	fuzzy	ADJ
ejpam-5733	55	14	soft	soft	ADJ
ejpam-5733	55	15	set	set	NOUN
ejpam-5733	55	16	defined	define	VERB
ejpam-5733	55	17	as	as	SCONJ
ejpam-5733	55	18	follows	follow	VERB
ejpam-5733	55	19	:	:	PUNCT
ejpam-5733	55	20	eut(k	eut(k	X
ejpam-5733	55	21	)	)	PUNCT
ejpam-5733	55	22	=	=	PRON
ejpam-5733	55	23	{	{	PUNCT
ejpam-5733	55	24	ut	ut	PROPN
ejpam-5733	55	25	,	,	PUNCT
ejpam-5733	55	26	if	if	SCONJ
ejpam-5733	55	27	k	k	PROPN
ejpam-5733	55	28	=	=	SYM
ejpam-5733	55	29	e	e	PROPN
ejpam-5733	55	30	,	,	PUNCT
ejpam-5733	55	31	0	0	NUM
ejpam-5733	55	32	,	,	PUNCT
ejpam-5733	55	33	if	if	SCONJ
ejpam-5733	55	34	k	k	PROPN
ejpam-5733	55	35	∈	∈	PROPN
ejpam-5733	55	36	e	e	X
ejpam-5733	55	37	−	−	PROPN
ejpam-5733	55	38	{	{	PUNCT
ejpam-5733	55	39	e	e	NOUN
ejpam-5733	55	40	}	}	PUNCT
ejpam-5733	55	41	,	,	PUNCT
ejpam-5733	55	42	where	where	SCONJ
ejpam-5733	55	43	ut	ut	PROPN
ejpam-5733	55	44	is	be	AUX
ejpam-5733	55	45	a	a	DET
ejpam-5733	55	46	fuzzy	fuzzy	ADJ
ejpam-5733	55	47	point	point	NOUN
ejpam-5733	55	48	on	on	ADP
ejpam-5733	55	49	u	u	PROPN
ejpam-5733	55	50	.	.	PUNCT
ejpam-5733	56	1	eut	eut	NOUN
ejpam-5733	56	2	is	be	AUX
ejpam-5733	56	3	said	say	VERB
ejpam-5733	56	4	to	to	PART
ejpam-5733	56	5	belong	belong	VERB
ejpam-5733	56	6	to	to	ADP
ejpam-5733	56	7	a	a	DET
ejpam-5733	56	8	fuzzy	fuzzy	ADJ
ejpam-5733	56	9	soft	soft	ADJ
ejpam-5733	56	10	set	set	NOUN
ejpam-5733	56	11	fa	fa	NOUN
ejpam-5733	56	12	,	,	PUNCT
ejpam-5733	56	13	denoted	denote	VERB
ejpam-5733	56	14	by	by	ADP
ejpam-5733	56	15	eut∈̃fa	eut∈̃fa	PROPN
ejpam-5733	56	16	,	,	PUNCT
ejpam-5733	56	17	if	if	SCONJ
ejpam-5733	56	18	t	t	PROPN
ejpam-5733	56	19	≤	≤	NUM
ejpam-5733	56	20	fa(e)(u	fa(e)(u	NUM
ejpam-5733	56	21	)	)	PUNCT
ejpam-5733	56	22	.	.	PUNCT
ejpam-5733	57	1	the	the	DET
ejpam-5733	57	2	family	family	NOUN
ejpam-5733	57	3	of	of	ADP
ejpam-5733	57	4	all	all	DET
ejpam-5733	57	5	fuzzy	fuzzy	ADJ
ejpam-5733	57	6	soft	soft	ADJ
ejpam-5733	57	7	points	point	NOUN
ejpam-5733	57	8	on	on	ADP
ejpam-5733	57	9	u	u	NOUN
ejpam-5733	57	10	is	be	AUX
ejpam-5733	57	11	denoted	denote	VERB
ejpam-5733	57	12	by	by	ADP
ejpam-5733	57	13	p̃t(u	p̃t(u	NOUN
ejpam-5733	57	14	)	)	PUNCT
ejpam-5733	57	15	.	.	PUNCT
ejpam-5733	58	1	definition	definition	NOUN
ejpam-5733	58	2	3	3	NUM
ejpam-5733	58	3	.	.	PUNCT
ejpam-5733	59	1	[	[	X
ejpam-5733	59	2	12	12	NUM
ejpam-5733	59	3	]	]	PUNCT
ejpam-5733	59	4	a	a	DET
ejpam-5733	59	5	fuzzy	fuzzy	ADJ
ejpam-5733	59	6	soft	soft	ADJ
ejpam-5733	59	7	point	point	NOUN
ejpam-5733	59	8	eut	eut	X
ejpam-5733	59	9	∈	∈	PROPN
ejpam-5733	59	10	p̃t(u	p̃t(u	NOUN
ejpam-5733	59	11	)	)	PUNCT
ejpam-5733	59	12	is	be	AUX
ejpam-5733	59	13	called	call	VERB
ejpam-5733	59	14	a	a	DET
ejpam-5733	59	15	soft	soft	ADJ
ejpam-5733	59	16	quasi	quasi	NOUN
ejpam-5733	59	17	-	-	NOUN
ejpam-5733	59	18	coincident	coincident	ADJ
ejpam-5733	59	19	with	with	ADP
ejpam-5733	59	20	fa	fa	X
ejpam-5733	59	21	∈	∈	PROPN
ejpam-5733	59	22	(	(	PUNCT
ejpam-5733	59	23	̃u	̃u	PROPN
ejpam-5733	59	24	,	,	PUNCT
ejpam-5733	59	25	e	e	NOUN
ejpam-5733	59	26	)	)	PUNCT
ejpam-5733	59	27	and	and	CCONJ
ejpam-5733	59	28	denoted	denote	VERB
ejpam-5733	59	29	by	by	ADP
ejpam-5733	59	30	eut	eut	NOUN
ejpam-5733	59	31	q̃fa	q̃fa	PROPN
ejpam-5733	59	32	,	,	PUNCT
ejpam-5733	59	33	if	if	SCONJ
ejpam-5733	59	34	t+	t+	VERB
ejpam-5733	59	35	fa(e)(u	fa(e)(u	ADJ
ejpam-5733	59	36	)	)	PUNCT
ejpam-5733	59	37	>	>	X
ejpam-5733	60	1	1	1	X
ejpam-5733	60	2	.	.	PUNCT
ejpam-5733	60	3	a	a	DET
ejpam-5733	60	4	fuzzy	fuzzy	ADJ
ejpam-5733	60	5	soft	soft	ADJ
ejpam-5733	60	6	set	set	NOUN
ejpam-5733	60	7	fa	fa	X
ejpam-5733	60	8	∈	∈	PROPN
ejpam-5733	60	9	(	(	PUNCT
ejpam-5733	60	10	̃u	̃u	PROPN
ejpam-5733	60	11	,	,	PUNCT
ejpam-5733	60	12	e	e	NOUN
ejpam-5733	60	13	)	)	PUNCT
ejpam-5733	60	14	is	be	AUX
ejpam-5733	60	15	called	call	VERB
ejpam-5733	60	16	a	a	DET
ejpam-5733	60	17	soft	soft	ADJ
ejpam-5733	60	18	quasi	quasi	NOUN
ejpam-5733	60	19	-	-	NOUN
ejpam-5733	60	20	coincident	coincident	ADJ
ejpam-5733	60	21	with	with	ADP
ejpam-5733	60	22	gb	gb	ADP
ejpam-5733	60	23	∈	∈	PROPN
ejpam-5733	60	24	(	(	PUNCT
ejpam-5733	60	25	̃u	̃u	PROPN
ejpam-5733	60	26	,	,	PUNCT
ejpam-5733	60	27	e	e	NOUN
ejpam-5733	60	28	)	)	PUNCT
ejpam-5733	60	29	and	and	CCONJ
ejpam-5733	60	30	denoted	denote	VERB
ejpam-5733	60	31	by	by	ADP
ejpam-5733	60	32	faq̃gb	faq̃gb	PROPN
ejpam-5733	60	33	,	,	PUNCT
ejpam-5733	60	34	if	if	SCONJ
ejpam-5733	60	35	there	there	PRON
ejpam-5733	60	36	is	be	VERB
ejpam-5733	60	37	e	e	X
ejpam-5733	60	38	∈	∈	NOUN
ejpam-5733	60	39	e	e	NOUN
ejpam-5733	60	40	and	and	CCONJ
ejpam-5733	60	41	u	u	PROPN
ejpam-5733	60	42	∈	∈	PROPN
ejpam-5733	60	43	u	u	NOUN
ejpam-5733	60	44	,	,	PUNCT
ejpam-5733	60	45	such	such	ADJ
ejpam-5733	60	46	that	that	SCONJ
ejpam-5733	60	47	fa(e)(u	fa(e)(u	ADJ
ejpam-5733	60	48	)	)	PUNCT
ejpam-5733	60	49	+	+	CCONJ
ejpam-5733	60	50	gb(e)(u	gb(e)(u	X
ejpam-5733	60	51	)	)	PUNCT
ejpam-5733	60	52	>	>	X
ejpam-5733	61	1	1	1	X
ejpam-5733	61	2	.	.	PUNCT
ejpam-5733	62	1	if	if	SCONJ
ejpam-5733	62	2	fa	fa	PROPN
ejpam-5733	62	3	is	be	AUX
ejpam-5733	62	4	not	not	PART
ejpam-5733	62	5	soft	soft	ADJ
ejpam-5733	62	6	quasi	quasi	NOUN
ejpam-5733	62	7	-	-	NOUN
ejpam-5733	62	8	coincident	coincident	ADJ
ejpam-5733	62	9	with	with	ADP
ejpam-5733	62	10	gb	gb	PROPN
ejpam-5733	62	11	,	,	PUNCT
ejpam-5733	62	12	fa	fa	PROPN
ejpam-5733	62	13	̸	̸	PUNCT
ejpam-5733	62	14	q̃gb	q̃gb	PROPN
ejpam-5733	62	15	.	.	PUNCT
ejpam-5733	63	1	definition	definition	NOUN
ejpam-5733	63	2	4	4	NUM
ejpam-5733	63	3	.	.	PUNCT
ejpam-5733	64	1	[	[	X
ejpam-5733	64	2	20	20	NUM
ejpam-5733	64	3	]	]	PUNCT
ejpam-5733	64	4	a	a	DET
ejpam-5733	64	5	function	function	NOUN
ejpam-5733	64	6	τ	τ	X
ejpam-5733	64	7	:	:	PUNCT
ejpam-5733	64	8	e	e	AUX
ejpam-5733	64	9	−→	−→	NOUN
ejpam-5733	64	10	[	[	X
ejpam-5733	64	11	0	0	NUM
ejpam-5733	64	12	,	,	PUNCT
ejpam-5733	64	13	1](̃u	1](̃u	NUM
ejpam-5733	64	14	,	,	PUNCT
ejpam-5733	64	15	e	e	NOUN
ejpam-5733	64	16	)	)	PUNCT
ejpam-5733	64	17	is	be	AUX
ejpam-5733	64	18	called	call	VERB
ejpam-5733	64	19	a	a	DET
ejpam-5733	64	20	fuzzy	fuzzy	ADJ
ejpam-5733	64	21	soft	soft	ADJ
ejpam-5733	64	22	topology	topology	NOUN
ejpam-5733	64	23	on	on	ADP
ejpam-5733	64	24	u	u	NOUN
ejpam-5733	64	25	if	if	SCONJ
ejpam-5733	64	26	it	it	PRON
ejpam-5733	64	27	satisfies	satisfy	VERB
ejpam-5733	64	28	the	the	DET
ejpam-5733	64	29	following	follow	VERB
ejpam-5733	64	30	conditions	condition	NOUN
ejpam-5733	64	31	for	for	ADP
ejpam-5733	64	32	every	every	DET
ejpam-5733	64	33	e	e	PROPN
ejpam-5733	64	34	∈	∈	PROPN
ejpam-5733	64	35	e	e	PROPN
ejpam-5733	64	36	,	,	PUNCT
ejpam-5733	64	37	(	(	PUNCT
ejpam-5733	64	38	i	i	NOUN
ejpam-5733	64	39	)	)	PUNCT
ejpam-5733	64	40	τe(φ	τe(φ	PUNCT
ejpam-5733	64	41	)	)	PUNCT
ejpam-5733	64	42	=	=	PUNCT
ejpam-5733	64	43	τe(ẽ	τe(ẽ	PUNCT
ejpam-5733	64	44	)	)	PUNCT
ejpam-5733	65	1	=	=	SYM
ejpam-5733	65	2	1	1	NUM
ejpam-5733	65	3	,	,	PUNCT
ejpam-5733	65	4	(	(	PUNCT
ejpam-5733	65	5	ii	ii	NOUN
ejpam-5733	65	6	)	)	PUNCT
ejpam-5733	65	7	τe(fa	τe(fa	PUNCT
ejpam-5733	66	1	⊓	⊓	PROPN
ejpam-5733	66	2	gb	gb	PROPN
ejpam-5733	66	3	)	)	PUNCT
ejpam-5733	66	4	≥	≥	NOUN
ejpam-5733	66	5	τe(fa	τe(fa	NOUN
ejpam-5733	66	6	)	)	PUNCT
ejpam-5733	67	1	∧	∧	NOUN
ejpam-5733	67	2	τe(gb	τe(gb	NOUN
ejpam-5733	67	3	)	)	PUNCT
ejpam-5733	67	4	,	,	PUNCT
ejpam-5733	67	5	for	for	ADP
ejpam-5733	67	6	every	every	DET
ejpam-5733	67	7	fa	fa	NOUN
ejpam-5733	67	8	,	,	PUNCT
ejpam-5733	67	9	gb	gb	NOUN
ejpam-5733	67	10	∈	∈	PROPN
ejpam-5733	67	11	(	(	PUNCT
ejpam-5733	67	12	̃u	̃u	PROPN
ejpam-5733	67	13	,	,	PUNCT
ejpam-5733	67	14	e	e	NOUN
ejpam-5733	67	15	)	)	PUNCT
ejpam-5733	67	16	,	,	PUNCT
ejpam-5733	67	17	(	(	PUNCT
ejpam-5733	67	18	iii	iii	X
ejpam-5733	67	19	)	)	PUNCT
ejpam-5733	67	20	τe	τe	ADP
ejpam-5733	67	21	(	(	PUNCT
ejpam-5733	67	22	⊔	⊔	PROPN
ejpam-5733	67	23	δ∈∆(fa)δ	δ∈∆(fa)δ	PROPN
ejpam-5733	67	24	)	)	PUNCT
ejpam-5733	67	25	≥	≥	NOUN
ejpam-5733	67	26	∧	∧	PROPN
ejpam-5733	67	27	δ∈∆	δ∈∆	PROPN
ejpam-5733	67	28	τe((fa)δ	τe((fa)δ	NOUN
ejpam-5733	67	29	)	)	PUNCT
ejpam-5733	67	30	,	,	PUNCT
ejpam-5733	67	31	for	for	ADP
ejpam-5733	67	32	every	every	DET
ejpam-5733	67	33	(	(	PUNCT
ejpam-5733	67	34	fa)δ	fa)δ	PROPN
ejpam-5733	67	35	∈	∈	PROPN
ejpam-5733	67	36	(	(	PUNCT
ejpam-5733	67	37	̃u	̃u	PROPN
ejpam-5733	67	38	,	,	PUNCT
ejpam-5733	67	39	e	e	NOUN
ejpam-5733	67	40	)	)	PUNCT
ejpam-5733	67	41	,	,	PUNCT
ejpam-5733	67	42	δ	δ	PROPN
ejpam-5733	67	43	∈	∈	PROPN
ejpam-5733	68	1	∆.	∆.	X
ejpam-5733	68	2	thus	thus	ADV
ejpam-5733	68	3	,	,	PUNCT
ejpam-5733	68	4	(	(	PUNCT
ejpam-5733	68	5	u	u	NOUN
ejpam-5733	68	6	,	,	PUNCT
ejpam-5733	68	7	τe	τe	PRON
ejpam-5733	68	8	)	)	PUNCT
ejpam-5733	68	9	is	be	AUX
ejpam-5733	68	10	called	call	VERB
ejpam-5733	68	11	a	a	DET
ejpam-5733	68	12	fuzzy	fuzzy	ADJ
ejpam-5733	68	13	soft	soft	ADJ
ejpam-5733	68	14	topological	topological	ADJ
ejpam-5733	68	15	space	space	NOUN
ejpam-5733	68	16	(	(	PUNCT
ejpam-5733	68	17	fsts	fst	NOUN
ejpam-5733	68	18	)	)	PUNCT
ejpam-5733	68	19	in	in	ADP
ejpam-5733	68	20	šostaks	šostak	NOUN
ejpam-5733	68	21	sense	sense	NOUN
ejpam-5733	68	22	[	[	X
ejpam-5733	68	23	41	41	NUM
ejpam-5733	68	24	]	]	PUNCT
ejpam-5733	68	25	.	.	PUNCT
ejpam-5733	69	1	definition	definition	NOUN
ejpam-5733	69	2	5	5	NUM
ejpam-5733	69	3	.	.	PUNCT
ejpam-5733	70	1	[	[	X
ejpam-5733	70	2	20	20	NUM
ejpam-5733	70	3	]	]	X
ejpam-5733	70	4	let	let	VERB
ejpam-5733	70	5	(	(	PUNCT
ejpam-5733	70	6	u	u	NOUN
ejpam-5733	70	7	,	,	PUNCT
ejpam-5733	70	8	τe	τe	ADP
ejpam-5733	70	9	)	)	PUNCT
ejpam-5733	70	10	and	and	CCONJ
ejpam-5733	70	11	(	(	PUNCT
ejpam-5733	70	12	v	v	NOUN
ejpam-5733	70	13	,	,	PUNCT
ejpam-5733	70	14	τ∗f	τ∗f	NUM
ejpam-5733	70	15	)	)	PUNCT
ejpam-5733	70	16	be	be	AUX
ejpam-5733	70	17	an	an	DET
ejpam-5733	70	18	fstss	fstss	NOUN
ejpam-5733	70	19	.	.	PUNCT
ejpam-5733	71	1	a	a	DET
ejpam-5733	71	2	fuzzy	fuzzy	ADJ
ejpam-5733	71	3	soft	soft	ADJ
ejpam-5733	71	4	function	function	NOUN
ejpam-5733	71	5	φψ	φψ	NOUN
ejpam-5733	71	6	:	:	PUNCT
ejpam-5733	71	7	(	(	PUNCT
ejpam-5733	71	8	̃u	̃u	PROPN
ejpam-5733	71	9	,	,	PUNCT
ejpam-5733	71	10	e	e	NOUN
ejpam-5733	71	11	)	)	PUNCT
ejpam-5733	71	12	−→	−→	NOUN
ejpam-5733	71	13	(	(	PUNCT
ejpam-5733	71	14	̃v	̃v	NOUN
ejpam-5733	71	15	,	,	PUNCT
ejpam-5733	71	16	f	f	PROPN
ejpam-5733	71	17	)	)	PUNCT
ejpam-5733	71	18	is	be	AUX
ejpam-5733	71	19	said	say	VERB
ejpam-5733	71	20	to	to	PART
ejpam-5733	71	21	be	be	AUX
ejpam-5733	71	22	fuzzy	fuzzy	ADJ
ejpam-5733	71	23	soft	soft	ADJ
ejpam-5733	71	24	continuous	continuous	ADJ
ejpam-5733	71	25	if	if	SCONJ
ejpam-5733	71	26	τe(φ	τe(φ	NUM
ejpam-5733	71	27	−1	−1	NOUN
ejpam-5733	71	28	ψ	ψ	X
ejpam-5733	71	29	(	(	PUNCT
ejpam-5733	71	30	gb	gb	NOUN
ejpam-5733	71	31	)	)	PUNCT
ejpam-5733	71	32	)	)	PUNCT
ejpam-5733	71	33	≥	≥	NOUN
ejpam-5733	71	34	τ∗k	τ∗k	PUNCT
ejpam-5733	71	35	(	(	PUNCT
ejpam-5733	71	36	gb	gb	NOUN
ejpam-5733	71	37	)	)	PUNCT
ejpam-5733	71	38	for	for	ADP
ejpam-5733	71	39	every	every	DET
ejpam-5733	71	40	gb	gb	NOUN
ejpam-5733	71	41	∈	∈	PROPN
ejpam-5733	71	42	(	(	PUNCT
ejpam-5733	71	43	̃v	̃v	NOUN
ejpam-5733	71	44	,	,	PUNCT
ejpam-5733	71	45	f	f	PROPN
ejpam-5733	71	46	)	)	PUNCT
ejpam-5733	71	47	,	,	PUNCT
ejpam-5733	71	48	e	e	PROPN
ejpam-5733	71	49	∈	∈	PROPN
ejpam-5733	71	50	e	e	NOUN
ejpam-5733	71	51	,	,	PUNCT
ejpam-5733	71	52	and	and	CCONJ
ejpam-5733	71	53	(	(	PUNCT
ejpam-5733	71	54	k	k	X
ejpam-5733	71	55	=	=	PUNCT
ejpam-5733	71	56	ψ(e	ψ(e	PROPN
ejpam-5733	71	57	)	)	PUNCT
ejpam-5733	71	58	)	)	PUNCT
ejpam-5733	72	1	∈	∈	PROPN
ejpam-5733	72	2	f	f	X
ejpam-5733	72	3	.	.	PUNCT
ejpam-5733	73	1	definition	definition	NOUN
ejpam-5733	73	2	6	6	NUM
ejpam-5733	73	3	.	.	PUNCT
ejpam-5733	74	1	[	[	X
ejpam-5733	74	2	14	14	NUM
ejpam-5733	74	3	,	,	PUNCT
ejpam-5733	74	4	15	15	NUM
ejpam-5733	74	5	]	]	PUNCT
ejpam-5733	74	6	in	in	ADP
ejpam-5733	74	7	an	an	DET
ejpam-5733	74	8	fsts	fst	NOUN
ejpam-5733	74	9	(	(	PUNCT
ejpam-5733	74	10	u	u	NOUN
ejpam-5733	74	11	,	,	PUNCT
ejpam-5733	74	12	τe	τe	NOUN
ejpam-5733	74	13	)	)	PUNCT
ejpam-5733	74	14	,	,	PUNCT
ejpam-5733	74	15	for	for	ADP
ejpam-5733	74	16	each	each	DET
ejpam-5733	74	17	fa	fa	X
ejpam-5733	74	18	∈	∈	PROPN
ejpam-5733	74	19	(	(	PUNCT
ejpam-5733	74	20	̃u	̃u	PROPN
ejpam-5733	74	21	,	,	PUNCT
ejpam-5733	74	22	e	e	NOUN
ejpam-5733	74	23	)	)	PUNCT
ejpam-5733	74	24	,	,	PUNCT
ejpam-5733	74	25	e	e	PROPN
ejpam-5733	74	26	∈	∈	PROPN
ejpam-5733	74	27	e	e	NOUN
ejpam-5733	74	28	,	,	PUNCT
ejpam-5733	74	29	and	and	CCONJ
ejpam-5733	74	30	r	r	NOUN
ejpam-5733	74	31	∈	∈	PROPN
ejpam-5733	74	32	i0	i0	PROPN
ejpam-5733	74	33	,	,	PUNCT
ejpam-5733	74	34	we	we	PRON
ejpam-5733	74	35	define	define	VERB
ejpam-5733	74	36	the	the	DET
ejpam-5733	74	37	fuzzy	fuzzy	ADJ
ejpam-5733	74	38	soft	soft	ADJ
ejpam-5733	74	39	operators	operator	NOUN
ejpam-5733	74	40	cτ	cτ	VERB
ejpam-5733	74	41	and	and	CCONJ
ejpam-5733	74	42	iτ	iτ	INTJ
ejpam-5733	74	43	:	:	PUNCT
ejpam-5733	74	44	e	e	X
ejpam-5733	74	45	×	×	NOUN
ejpam-5733	74	46	(	(	PUNCT
ejpam-5733	74	47	̃u	̃u	PROPN
ejpam-5733	74	48	,	,	PUNCT
ejpam-5733	74	49	e)×	e)×	NOUN
ejpam-5733	74	50	i	i	PRON
ejpam-5733	74	51	◦	◦	NOUN
ejpam-5733	74	52	→	→	PUNCT
ejpam-5733	74	53	(	(	PUNCT
ejpam-5733	74	54	̃u	̃u	PROPN
ejpam-5733	74	55	,	,	PUNCT
ejpam-5733	74	56	e	e	NOUN
ejpam-5733	74	57	)	)	PUNCT
ejpam-5733	74	58	as	as	SCONJ
ejpam-5733	74	59	follows	follow	VERB
ejpam-5733	74	60	:	:	PUNCT
ejpam-5733	74	61	cτ	cτ	INTJ
ejpam-5733	74	62	(	(	PUNCT
ejpam-5733	74	63	e	e	NOUN
ejpam-5733	74	64	,	,	PUNCT
ejpam-5733	74	65	fa	fa	NOUN
ejpam-5733	74	66	,	,	PUNCT
ejpam-5733	74	67	r	r	NOUN
ejpam-5733	74	68	)	)	PUNCT
ejpam-5733	74	69	=	=	SYM
ejpam-5733	75	1	⊓	⊓	NOUN
ejpam-5733	75	2	{	{	PUNCT
ejpam-5733	75	3	gb	gb	NOUN
ejpam-5733	75	4	∈	∈	PROPN
ejpam-5733	75	5	(	(	PUNCT
ejpam-5733	75	6	̃u	̃u	PROPN
ejpam-5733	75	7	,	,	PUNCT
ejpam-5733	75	8	e	e	NOUN
ejpam-5733	75	9	)	)	PUNCT
ejpam-5733	75	10	:	:	PUNCT
ejpam-5733	75	11	fa	fa	X
ejpam-5733	75	12	⊑	⊑	X
ejpam-5733	75	13	gb	gb	PROPN
ejpam-5733	75	14	,	,	PUNCT
ejpam-5733	75	15	τe(g	τe(g	PUNCT
ejpam-5733	75	16	c	c	PROPN
ejpam-5733	75	17	b	b	X
ejpam-5733	75	18	)	)	PUNCT
ejpam-5733	75	19	≥	≥	NOUN
ejpam-5733	75	20	r	r	NOUN
ejpam-5733	75	21	}	}	PUNCT
ejpam-5733	75	22	.	.	PUNCT
ejpam-5733	76	1	iτ	iτ	INTJ
ejpam-5733	76	2	(	(	PUNCT
ejpam-5733	76	3	e	e	NOUN
ejpam-5733	76	4	,	,	PUNCT
ejpam-5733	76	5	fa	fa	NOUN
ejpam-5733	76	6	,	,	PUNCT
ejpam-5733	76	7	r	r	NOUN
ejpam-5733	76	8	)	)	PUNCT
ejpam-5733	76	9	=	=	SYM
ejpam-5733	76	10	⊔	⊔	X
ejpam-5733	76	11	{	{	PUNCT
ejpam-5733	76	12	gb	gb	NOUN
ejpam-5733	76	13	∈	∈	PROPN
ejpam-5733	76	14	(	(	PUNCT
ejpam-5733	76	15	̃u	̃u	PROPN
ejpam-5733	76	16	,	,	PUNCT
ejpam-5733	76	17	e	e	NOUN
ejpam-5733	76	18	)	)	PUNCT
ejpam-5733	76	19	:	:	PUNCT
ejpam-5733	76	20	gb	gb	ADP
ejpam-5733	76	21	⊑	⊑	X
ejpam-5733	76	22	fa	fa	PROPN
ejpam-5733	76	23	,	,	PUNCT
ejpam-5733	76	24	τe(gb	τe(gb	NOUN
ejpam-5733	76	25	)	)	PUNCT
ejpam-5733	76	26	≥	≥	NOUN
ejpam-5733	76	27	r	r	NOUN
ejpam-5733	76	28	}	}	PUNCT
ejpam-5733	76	29	.	.	PUNCT
ejpam-5733	77	1	i.	i.	PROPN
ejpam-5733	77	2	alshammari	alshammari	PROPN
ejpam-5733	77	3	et	et	PROPN
ejpam-5733	77	4	al	al	PROPN
ejpam-5733	77	5	.	.	PUNCT
ejpam-5733	77	6	/	/	SYM
ejpam-5733	77	7	eur	eur	PROPN
ejpam-5733	77	8	.	.	PUNCT
ejpam-5733	78	1	j.	j.	PROPN
ejpam-5733	78	2	pure	pure	PROPN
ejpam-5733	78	3	appl	appl	PROPN
ejpam-5733	78	4	.	.	PROPN
ejpam-5733	78	5	math	math	PROPN
ejpam-5733	78	6	,	,	PUNCT
ejpam-5733	78	7	18	18	NUM
ejpam-5733	78	8	(	(	PUNCT
ejpam-5733	78	9	1	1	NUM
ejpam-5733	78	10	)	)	PUNCT
ejpam-5733	78	11	(	(	PUNCT
ejpam-5733	78	12	2025	2025	NUM
ejpam-5733	78	13	)	)	PUNCT
ejpam-5733	78	14	,	,	PUNCT
ejpam-5733	78	15	5733	5733	NUM
ejpam-5733	78	16	4	4	NUM
ejpam-5733	78	17	of	of	ADP
ejpam-5733	78	18	21	21	NUM
ejpam-5733	78	19	definition	definition	NOUN
ejpam-5733	78	20	7	7	NUM
ejpam-5733	78	21	.	.	PUNCT
ejpam-5733	79	1	let	let	VERB
ejpam-5733	79	2	(	(	PUNCT
ejpam-5733	79	3	u	u	NOUN
ejpam-5733	79	4	,	,	PUNCT
ejpam-5733	79	5	τe	τe	PRON
ejpam-5733	79	6	)	)	PUNCT
ejpam-5733	79	7	be	be	VERB
ejpam-5733	79	8	an	an	DET
ejpam-5733	79	9	fsts	fst	NOUN
ejpam-5733	79	10	and	and	CCONJ
ejpam-5733	79	11	r	r	NOUN
ejpam-5733	79	12	∈	∈	PROPN
ejpam-5733	79	13	i0	i0	PROPN
ejpam-5733	79	14	.	.	PUNCT
ejpam-5733	80	1	a	a	DET
ejpam-5733	80	2	fuzzy	fuzzy	ADJ
ejpam-5733	80	3	soft	soft	ADJ
ejpam-5733	80	4	set	set	NOUN
ejpam-5733	80	5	fa	fa	X
ejpam-5733	80	6	∈	∈	PROPN
ejpam-5733	80	7	(	(	PUNCT
ejpam-5733	80	8	̃u	̃u	PROPN
ejpam-5733	80	9	,	,	PUNCT
ejpam-5733	80	10	e	e	NOUN
ejpam-5733	80	11	)	)	PUNCT
ejpam-5733	80	12	is	be	AUX
ejpam-5733	80	13	said	say	VERB
ejpam-5733	80	14	to	to	PART
ejpam-5733	80	15	be	be	AUX
ejpam-5733	80	16	r	r	NOUN
ejpam-5733	80	17	-	-	PUNCT
ejpam-5733	80	18	fuzzy	fuzzy	ADJ
ejpam-5733	80	19	soft	soft	ADJ
ejpam-5733	80	20	regularly	regularly	ADV
ejpam-5733	80	21	open	open	ADJ
ejpam-5733	80	22	[	[	X
ejpam-5733	80	23	14	14	NUM
ejpam-5733	80	24	]	]	X
ejpam-5733	80	25	(	(	PUNCT
ejpam-5733	80	26	pre	pre	ADJ
ejpam-5733	80	27	-	-	ADJ
ejpam-5733	80	28	open	open	ADJ
ejpam-5733	80	29	[	[	X
ejpam-5733	80	30	33	33	NUM
ejpam-5733	80	31	]	]	PUNCT
ejpam-5733	80	32	and	and	CCONJ
ejpam-5733	80	33	β	β	X
ejpam-5733	80	34	-	-	VERB
ejpam-5733	80	35	open	open	ADJ
ejpam-5733	80	36	[	[	X
ejpam-5733	80	37	33	33	NUM
ejpam-5733	80	38	]	]	SYM
ejpam-5733	80	39	)	)	PUNCT
ejpam-5733	80	40	if	if	SCONJ
ejpam-5733	80	41	fa	fa	PROPN
ejpam-5733	80	42	=	=	VERB
ejpam-5733	80	43	iτ	iτ	X
ejpam-5733	80	44	(	(	PUNCT
ejpam-5733	80	45	e	e	NOUN
ejpam-5733	80	46	,	,	PUNCT
ejpam-5733	80	47	cτ	cτ	INTJ
ejpam-5733	80	48	(	(	PUNCT
ejpam-5733	80	49	e	e	NOUN
ejpam-5733	80	50	,	,	PUNCT
ejpam-5733	80	51	fa	fa	NOUN
ejpam-5733	80	52	,	,	PUNCT
ejpam-5733	80	53	r	r	NOUN
ejpam-5733	80	54	)	)	PUNCT
ejpam-5733	80	55	,	,	PUNCT
ejpam-5733	80	56	r	r	NOUN
ejpam-5733	80	57	)	)	PUNCT
ejpam-5733	80	58	(	(	PUNCT
ejpam-5733	80	59	fa	fa	X
ejpam-5733	80	60	⊑	⊑	X
ejpam-5733	80	61	iτ	iτ	X
ejpam-5733	80	62	(	(	PUNCT
ejpam-5733	80	63	e	e	NOUN
ejpam-5733	80	64	,	,	PUNCT
ejpam-5733	80	65	cτ	cτ	INTJ
ejpam-5733	80	66	(	(	PUNCT
ejpam-5733	80	67	e	e	NOUN
ejpam-5733	80	68	,	,	PUNCT
ejpam-5733	80	69	fa	fa	NOUN
ejpam-5733	80	70	,	,	PUNCT
ejpam-5733	80	71	r	r	NOUN
ejpam-5733	80	72	)	)	PUNCT
ejpam-5733	80	73	,	,	PUNCT
ejpam-5733	80	74	r	r	NOUN
ejpam-5733	80	75	)	)	PUNCT
ejpam-5733	80	76	and	and	CCONJ
ejpam-5733	80	77	fa	fa	PRON
ejpam-5733	80	78	⊑	⊑	X
ejpam-5733	80	79	cτ	cτ	PROPN
ejpam-5733	80	80	(	(	PUNCT
ejpam-5733	80	81	e	e	NOUN
ejpam-5733	80	82	,	,	PUNCT
ejpam-5733	80	83	iτ	iτ	X
ejpam-5733	80	84	(	(	PUNCT
ejpam-5733	80	85	e	e	NOUN
ejpam-5733	80	86	,	,	PUNCT
ejpam-5733	80	87	cτ	cτ	INTJ
ejpam-5733	80	88	(	(	PUNCT
ejpam-5733	80	89	e	e	NOUN
ejpam-5733	80	90	,	,	PUNCT
ejpam-5733	80	91	fa	fa	NOUN
ejpam-5733	80	92	,	,	PUNCT
ejpam-5733	80	93	r	r	NOUN
ejpam-5733	80	94	)	)	PUNCT
ejpam-5733	80	95	,	,	PUNCT
ejpam-5733	80	96	r	r	NOUN
ejpam-5733	80	97	)	)	PUNCT
ejpam-5733	80	98	,	,	PUNCT
ejpam-5733	80	99	r	r	NOUN
ejpam-5733	80	100	)	)	PUNCT
ejpam-5733	80	101	)	)	PUNCT
ejpam-5733	80	102	for	for	ADP
ejpam-5733	80	103	every	every	DET
ejpam-5733	80	104	e	e	PROPN
ejpam-5733	80	105	∈	∈	PROPN
ejpam-5733	80	106	e.	e.	PROPN
ejpam-5733	80	107	lemma	lemma	PROPN
ejpam-5733	81	1	1	1	X
ejpam-5733	81	2	.	.	PUNCT
ejpam-5733	82	1	[	[	X
ejpam-5733	82	2	33	33	NUM
ejpam-5733	82	3	]	]	PUNCT
ejpam-5733	82	4	every	every	DET
ejpam-5733	82	5	r	r	NOUN
ejpam-5733	82	6	-	-	PUNCT
ejpam-5733	82	7	fuzzy	fuzzy	ADJ
ejpam-5733	82	8	soft	soft	ADJ
ejpam-5733	82	9	regularly	regularly	ADV
ejpam-5733	82	10	open	open	ADJ
ejpam-5733	82	11	set	set	VERB
ejpam-5733	82	12	is	be	AUX
ejpam-5733	82	13	r	r	NOUN
ejpam-5733	82	14	-	-	PUNCT
ejpam-5733	82	15	fuzzy	fuzzy	ADJ
ejpam-5733	82	16	soft	soft	ADJ
ejpam-5733	82	17	pre	pre	ADJ
ejpam-5733	82	18	-	-	ADJ
ejpam-5733	82	19	open	open	ADJ
ejpam-5733	82	20	.	.	PUNCT
ejpam-5733	83	1	in	in	ADP
ejpam-5733	83	2	general	general	ADJ
ejpam-5733	83	3	,	,	PUNCT
ejpam-5733	83	4	the	the	DET
ejpam-5733	83	5	converse	converse	NOUN
ejpam-5733	83	6	of	of	ADP
ejpam-5733	83	7	lemma	lemma	PROPN
ejpam-5733	83	8	1	1	NUM
ejpam-5733	83	9	is	be	AUX
ejpam-5733	83	10	not	not	PART
ejpam-5733	83	11	true	true	ADJ
ejpam-5733	83	12	,	,	PUNCT
ejpam-5733	83	13	as	as	SCONJ
ejpam-5733	83	14	shown	show	VERB
ejpam-5733	83	15	by	by	ADP
ejpam-5733	83	16	example	example	NOUN
ejpam-5733	83	17	1	1	NUM
ejpam-5733	83	18	.	.	PUNCT
ejpam-5733	83	19	example	example	NOUN
ejpam-5733	84	1	1	1	NUM
ejpam-5733	84	2	.	.	PUNCT
ejpam-5733	85	1	[	[	X
ejpam-5733	85	2	5	5	NUM
ejpam-5733	85	3	]	]	PUNCT
ejpam-5733	85	4	let	let	VERB
ejpam-5733	85	5	u	u	PRON
ejpam-5733	85	6	=	=	NOUN
ejpam-5733	85	7	{	{	PUNCT
ejpam-5733	85	8	u1	u1	NOUN
ejpam-5733	85	9	,	,	PUNCT
ejpam-5733	85	10	u2	u2	PROPN
ejpam-5733	85	11	}	}	PUNCT
ejpam-5733	85	12	,	,	PUNCT
ejpam-5733	85	13	e	e	X
ejpam-5733	85	14	=	=	PUNCT
ejpam-5733	85	15	{	{	PUNCT
ejpam-5733	85	16	e	e	NOUN
ejpam-5733	85	17	,	,	PUNCT
ejpam-5733	85	18	k	k	NOUN
ejpam-5733	85	19	}	}	PUNCT
ejpam-5733	85	20	,	,	PUNCT
ejpam-5733	85	21	and	and	CCONJ
ejpam-5733	85	22	define	define	VERB
ejpam-5733	85	23	ge	ge	PROPN
ejpam-5733	85	24	,	,	PUNCT
ejpam-5733	85	25	fe	fe	X
ejpam-5733	85	26	∈	∈	PROPN
ejpam-5733	85	27	(	(	PUNCT
ejpam-5733	85	28	̃u	̃u	PROPN
ejpam-5733	85	29	,	,	PUNCT
ejpam-5733	85	30	e	e	NOUN
ejpam-5733	85	31	)	)	PUNCT
ejpam-5733	85	32	as	as	SCONJ
ejpam-5733	85	33	follows	follow	VERB
ejpam-5733	85	34	:	:	PUNCT
ejpam-5733	85	35	ge	ge	PROPN
ejpam-5733	85	36	=	=	PRON
ejpam-5733	85	37	{	{	PUNCT
ejpam-5733	85	38	(	(	PUNCT
ejpam-5733	85	39	e	e	NOUN
ejpam-5733	85	40	,	,	PUNCT
ejpam-5733	85	41	{	{	PUNCT
ejpam-5733	85	42	u10.3	u10.3	PROPN
ejpam-5733	85	43	,	,	PUNCT
ejpam-5733	85	44	u2	u2	PROPN
ejpam-5733	85	45	0.4	0.4	NUM
ejpam-5733	85	46	}	}	PUNCT
ejpam-5733	85	47	)	)	PUNCT
ejpam-5733	85	48	,	,	PUNCT
ejpam-5733	85	49	(	(	PUNCT
ejpam-5733	85	50	k	k	NOUN
ejpam-5733	85	51	,	,	PUNCT
ejpam-5733	85	52	{	{	PUNCT
ejpam-5733	85	53	u1	u1	PROPN
ejpam-5733	85	54	0.3	0.3	NUM
ejpam-5733	85	55	,	,	PUNCT
ejpam-5733	85	56	u2	u2	PROPN
ejpam-5733	85	57	0.4	0.4	NUM
ejpam-5733	85	58	}	}	PUNCT
ejpam-5733	85	59	)	)	PUNCT
ejpam-5733	85	60	}	}	PUNCT
ejpam-5733	85	61	,	,	PUNCT
ejpam-5733	85	62	fe	fe	X
ejpam-5733	85	63	=	=	PUNCT
ejpam-5733	85	64	{	{	PUNCT
ejpam-5733	85	65	(	(	PUNCT
ejpam-5733	85	66	e	e	NOUN
ejpam-5733	85	67	,	,	PUNCT
ejpam-5733	85	68	{	{	PUNCT
ejpam-5733	85	69	u10.6	u10.6	NUM
ejpam-5733	85	70	,	,	PUNCT
ejpam-5733	85	71	u2	u2	PROPN
ejpam-5733	85	72	0.2	0.2	NUM
ejpam-5733	85	73	}	}	PUNCT
ejpam-5733	85	74	)	)	PUNCT
ejpam-5733	85	75	,	,	PUNCT
ejpam-5733	85	76	(	(	PUNCT
ejpam-5733	85	77	k	k	NOUN
ejpam-5733	85	78	,	,	PUNCT
ejpam-5733	85	79	{	{	PUNCT
ejpam-5733	85	80	u1	u1	PROPN
ejpam-5733	85	81	0.6	0.6	NUM
ejpam-5733	85	82	,	,	PUNCT
ejpam-5733	85	83	u2	u2	PROPN
ejpam-5733	85	84	0.2	0.2	NUM
ejpam-5733	85	85	}	}	PUNCT
ejpam-5733	85	86	)	)	PUNCT
ejpam-5733	85	87	}	}	PUNCT
ejpam-5733	85	88	.	.	PUNCT
ejpam-5733	86	1	define	define	VERB
ejpam-5733	86	2	fuzzy	fuzzy	ADJ
ejpam-5733	86	3	soft	soft	ADJ
ejpam-5733	86	4	topology	topology	NOUN
ejpam-5733	86	5	τe	τe	NOUN
ejpam-5733	86	6	:	:	PUNCT
ejpam-5733	86	7	e	e	X
ejpam-5733	86	8	−→	−→	NOUN
ejpam-5733	86	9	[	[	X
ejpam-5733	86	10	0	0	NUM
ejpam-5733	86	11	,	,	PUNCT
ejpam-5733	86	12	1](̃u	1](̃u	NUM
ejpam-5733	86	13	,	,	PUNCT
ejpam-5733	86	14	e	e	NOUN
ejpam-5733	86	15	)	)	PUNCT
ejpam-5733	86	16	as	as	SCONJ
ejpam-5733	86	17	follows	follow	VERB
ejpam-5733	86	18	:	:	PUNCT
ejpam-5733	86	19	τe(me	τe(me	NOUN
ejpam-5733	86	20	)	)	PUNCT
ejpam-5733	86	21	=	=	PUNCT
ejpam-5733	86	22			NOUN
ejpam-5733	86	23	1	1	NUM
ejpam-5733	86	24	,	,	PUNCT
ejpam-5733	86	25	if	if	SCONJ
ejpam-5733	86	26	me	i	PRON
ejpam-5733	86	27	∈	∈	PROPN
ejpam-5733	86	28	{	{	PUNCT
ejpam-5733	86	29	φ	φ	NOUN
ejpam-5733	86	30	,	,	PUNCT
ejpam-5733	86	31	ẽ	ẽ	PROPN
ejpam-5733	86	32	}	}	PUNCT
ejpam-5733	86	33	,	,	PUNCT
ejpam-5733	86	34	1	1	NUM
ejpam-5733	86	35	4	4	NUM
ejpam-5733	86	36	,	,	PUNCT
ejpam-5733	86	37	if	if	SCONJ
ejpam-5733	86	38	me	i	PRON
ejpam-5733	86	39	=	=	PUNCT
ejpam-5733	86	40	ge	ge	PROPN
ejpam-5733	86	41	,	,	PUNCT
ejpam-5733	86	42	1	1	NUM
ejpam-5733	86	43	3	3	NUM
ejpam-5733	86	44	,	,	PUNCT
ejpam-5733	86	45	if	if	SCONJ
ejpam-5733	86	46	me	i	PRON
ejpam-5733	86	47	=	=	SYM
ejpam-5733	86	48	fe	fe	X
ejpam-5733	86	49	,	,	PUNCT
ejpam-5733	86	50	1	1	NUM
ejpam-5733	86	51	3	3	NUM
ejpam-5733	86	52	,	,	PUNCT
ejpam-5733	86	53	if	if	SCONJ
ejpam-5733	86	54	me	i	PRON
ejpam-5733	86	55	=	=	PUNCT
ejpam-5733	86	56	ge	ge	PROPN
ejpam-5733	86	57	⊓	⊓	PROPN
ejpam-5733	86	58	fe	fe	X
ejpam-5733	86	59	,	,	PUNCT
ejpam-5733	86	60	1	1	NUM
ejpam-5733	86	61	4	4	NUM
ejpam-5733	86	62	,	,	PUNCT
ejpam-5733	86	63	if	if	SCONJ
ejpam-5733	86	64	me	i	PRON
ejpam-5733	86	65	=	=	PUNCT
ejpam-5733	86	66	ge	ge	PROPN
ejpam-5733	86	67	⊔	⊔	PROPN
ejpam-5733	86	68	fe	fe	PROPN
ejpam-5733	86	69	,	,	PUNCT
ejpam-5733	86	70	0	0	NUM
ejpam-5733	86	71	,	,	PUNCT
ejpam-5733	86	72	otherwise	otherwise	ADV
ejpam-5733	86	73	,	,	PUNCT
ejpam-5733	86	74	τk(me	τk(me	NOUN
ejpam-5733	86	75	)	)	PUNCT
ejpam-5733	86	76	=	=	PUNCT
ejpam-5733	86	77			NUM
ejpam-5733	86	78	1	1	NUM
ejpam-5733	86	79	,	,	PUNCT
ejpam-5733	86	80	if	if	SCONJ
ejpam-5733	86	81	me	i	PRON
ejpam-5733	86	82	∈	∈	PROPN
ejpam-5733	86	83	{	{	PUNCT
ejpam-5733	86	84	φ	φ	NOUN
ejpam-5733	86	85	,	,	PUNCT
ejpam-5733	86	86	ẽ	ẽ	PROPN
ejpam-5733	86	87	}	}	PUNCT
ejpam-5733	86	88	,	,	PUNCT
ejpam-5733	86	89	1	1	NUM
ejpam-5733	86	90	4	4	NUM
ejpam-5733	86	91	,	,	PUNCT
ejpam-5733	86	92	if	if	SCONJ
ejpam-5733	86	93	me	i	PRON
ejpam-5733	86	94	=	=	PUNCT
ejpam-5733	86	95	ge	ge	PROPN
ejpam-5733	86	96	,	,	PUNCT
ejpam-5733	86	97	1	1	NUM
ejpam-5733	86	98	2	2	NUM
ejpam-5733	86	99	,	,	PUNCT
ejpam-5733	86	100	if	if	SCONJ
ejpam-5733	86	101	me	i	PRON
ejpam-5733	86	102	=	=	SYM
ejpam-5733	86	103	fe	fe	X
ejpam-5733	86	104	,	,	PUNCT
ejpam-5733	86	105	1	1	NUM
ejpam-5733	86	106	2	2	NUM
ejpam-5733	86	107	,	,	PUNCT
ejpam-5733	86	108	if	if	SCONJ
ejpam-5733	86	109	me	i	PRON
ejpam-5733	86	110	=	=	PUNCT
ejpam-5733	86	111	ge	ge	PROPN
ejpam-5733	86	112	⊓	⊓	PROPN
ejpam-5733	86	113	fe	fe	X
ejpam-5733	86	114	,	,	PUNCT
ejpam-5733	86	115	1	1	NUM
ejpam-5733	86	116	4	4	NUM
ejpam-5733	86	117	,	,	PUNCT
ejpam-5733	86	118	if	if	SCONJ
ejpam-5733	86	119	me	i	PRON
ejpam-5733	86	120	=	=	PUNCT
ejpam-5733	86	121	ge	ge	PROPN
ejpam-5733	86	122	⊔	⊔	PROPN
ejpam-5733	86	123	fe	fe	PROPN
ejpam-5733	86	124	,	,	PUNCT
ejpam-5733	86	125	0	0	NUM
ejpam-5733	86	126	,	,	PUNCT
ejpam-5733	86	127	otherwise	otherwise	ADV
ejpam-5733	86	128	.	.	PUNCT
ejpam-5733	87	1	thus	thus	ADV
ejpam-5733	87	2	,	,	PUNCT
ejpam-5733	87	3	fe	fe	X
ejpam-5733	87	4	is	be	AUX
ejpam-5733	87	5	1	1	NUM
ejpam-5733	87	6	4	4	NUM
ejpam-5733	87	7	-fuzzy	-fuzzy	NOUN
ejpam-5733	87	8	soft	soft	ADJ
ejpam-5733	87	9	pre	pre	ADJ
ejpam-5733	87	10	-	-	ADJ
ejpam-5733	87	11	open	open	ADJ
ejpam-5733	87	12	set	set	NOUN
ejpam-5733	87	13	,	,	PUNCT
ejpam-5733	87	14	but	but	CCONJ
ejpam-5733	87	15	it	it	PRON
ejpam-5733	87	16	is	be	AUX
ejpam-5733	87	17	not	not	PART
ejpam-5733	87	18	1	1	NUM
ejpam-5733	87	19	4	4	NUM
ejpam-5733	87	20	-fuzzy	-fuzzy	NOUN
ejpam-5733	87	21	soft	soft	ADJ
ejpam-5733	87	22	regularly	regularly	ADV
ejpam-5733	87	23	open	open	ADJ
ejpam-5733	87	24	set	set	NOUN
ejpam-5733	87	25	.	.	PUNCT
ejpam-5733	88	1	the	the	DET
ejpam-5733	88	2	basic	basic	ADJ
ejpam-5733	88	3	definitions	definition	NOUN
ejpam-5733	88	4	and	and	CCONJ
ejpam-5733	88	5	results	result	NOUN
ejpam-5733	88	6	that	that	SCONJ
ejpam-5733	88	7	we	we	PRON
ejpam-5733	88	8	need	need	VERB
ejpam-5733	88	9	in	in	ADP
ejpam-5733	88	10	the	the	DET
ejpam-5733	88	11	next	next	ADJ
ejpam-5733	88	12	sections	section	NOUN
ejpam-5733	88	13	are	be	AUX
ejpam-5733	88	14	found	find	VERB
ejpam-5733	88	15	in	in	ADP
ejpam-5733	88	16	[	[	X
ejpam-5733	88	17	15	15	NUM
ejpam-5733	88	18	,	,	PUNCT
ejpam-5733	88	19	20	20	NUM
ejpam-5733	88	20	]	]	PUNCT
ejpam-5733	88	21	.	.	PUNCT
ejpam-5733	89	1	2	2	X
ejpam-5733	89	2	.	.	X
ejpam-5733	89	3	on	on	ADP
ejpam-5733	89	4	r	r	NOUN
ejpam-5733	89	5	-	-	PUNCT
ejpam-5733	89	6	fuzzy	fuzzy	ADJ
ejpam-5733	89	7	soft	soft	ADJ
ejpam-5733	89	8	δ	δ	NOUN
ejpam-5733	89	9	-	-	ADJ
ejpam-5733	89	10	open	open	ADJ
ejpam-5733	89	11	sets	set	NOUN
ejpam-5733	89	12	here	here	ADV
ejpam-5733	89	13	,	,	PUNCT
ejpam-5733	89	14	we	we	PRON
ejpam-5733	89	15	are	be	AUX
ejpam-5733	89	16	going	go	VERB
ejpam-5733	89	17	to	to	PART
ejpam-5733	89	18	give	give	VERB
ejpam-5733	89	19	the	the	DET
ejpam-5733	89	20	concepts	concept	NOUN
ejpam-5733	89	21	of	of	ADP
ejpam-5733	89	22	r	r	NOUN
ejpam-5733	89	23	-	-	PUNCT
ejpam-5733	89	24	fuzzy	fuzzy	ADJ
ejpam-5733	89	25	soft	soft	ADJ
ejpam-5733	89	26	δ	δ	NOUN
ejpam-5733	89	27	-	-	ADJ
ejpam-5733	89	28	open	open	ADJ
ejpam-5733	89	29	(	(	PUNCT
ejpam-5733	89	30	semi	semi	ADJ
ejpam-5733	89	31	-	-	ADJ
ejpam-5733	89	32	open	open	ADJ
ejpam-5733	89	33	)	)	PUNCT
ejpam-5733	89	34	sets	set	NOUN
ejpam-5733	89	35	in	in	ADP
ejpam-5733	89	36	an	an	DET
ejpam-5733	89	37	fsts	fst	NOUN
ejpam-5733	89	38	.	.	PUNCT
ejpam-5733	90	1	some	some	DET
ejpam-5733	90	2	properties	property	NOUN
ejpam-5733	90	3	of	of	ADP
ejpam-5733	90	4	these	these	DET
ejpam-5733	90	5	sets	set	NOUN
ejpam-5733	90	6	along	along	ADP
ejpam-5733	90	7	with	with	ADP
ejpam-5733	90	8	their	their	PRON
ejpam-5733	90	9	mutual	mutual	ADJ
ejpam-5733	90	10	relationships	relationship	NOUN
ejpam-5733	90	11	are	be	AUX
ejpam-5733	90	12	investigated	investigate	VERB
ejpam-5733	90	13	with	with	ADP
ejpam-5733	90	14	the	the	DET
ejpam-5733	90	15	help	help	NOUN
ejpam-5733	90	16	of	of	ADP
ejpam-5733	90	17	some	some	DET
ejpam-5733	90	18	examples	example	NOUN
ejpam-5733	90	19	.	.	PUNCT
ejpam-5733	91	1	also	also	ADV
ejpam-5733	91	2	,	,	PUNCT
ejpam-5733	91	3	the	the	DET
ejpam-5733	91	4	concept	concept	NOUN
ejpam-5733	91	5	of	of	ADP
ejpam-5733	91	6	an	an	DET
ejpam-5733	91	7	r	r	NOUN
ejpam-5733	91	8	-	-	PUNCT
ejpam-5733	91	9	fuzzy	fuzzy	ADJ
ejpam-5733	91	10	soft	soft	ADJ
ejpam-5733	91	11	δ	δ	NOUN
ejpam-5733	91	12	-	-	PUNCT
ejpam-5733	91	13	connected	connect	VERB
ejpam-5733	91	14	set	set	NOUN
ejpam-5733	91	15	is	be	AUX
ejpam-5733	91	16	defined	define	VERB
ejpam-5733	91	17	and	and	CCONJ
ejpam-5733	91	18	studied	study	VERB
ejpam-5733	91	19	with	with	ADP
ejpam-5733	91	20	the	the	DET
ejpam-5733	91	21	help	help	NOUN
ejpam-5733	91	22	of	of	ADP
ejpam-5733	91	23	fuzzy	fuzzy	ADJ
ejpam-5733	91	24	soft	soft	ADJ
ejpam-5733	91	25	δ	δ	NOUN
ejpam-5733	91	26	-	-	PUNCT
ejpam-5733	91	27	closure	closure	NOUN
ejpam-5733	91	28	operators	operator	NOUN
ejpam-5733	91	29	.	.	PUNCT
ejpam-5733	92	1	definition	definition	NOUN
ejpam-5733	92	2	8	8	NUM
ejpam-5733	92	3	.	.	PUNCT
ejpam-5733	93	1	let	let	VERB
ejpam-5733	93	2	(	(	PUNCT
ejpam-5733	93	3	u	u	NOUN
ejpam-5733	93	4	,	,	PUNCT
ejpam-5733	93	5	τe	τe	PRON
ejpam-5733	93	6	)	)	PUNCT
ejpam-5733	93	7	be	be	AUX
ejpam-5733	93	8	an	an	DET
ejpam-5733	93	9	fsts	fst	NOUN
ejpam-5733	93	10	.	.	PUNCT
ejpam-5733	94	1	a	a	DET
ejpam-5733	94	2	fuzzy	fuzzy	ADJ
ejpam-5733	94	3	soft	soft	ADJ
ejpam-5733	94	4	set	set	NOUN
ejpam-5733	94	5	fa	fa	X
ejpam-5733	94	6	∈	∈	PROPN
ejpam-5733	94	7	(	(	PUNCT
ejpam-5733	94	8	̃u	̃u	PROPN
ejpam-5733	94	9	,	,	PUNCT
ejpam-5733	94	10	e	e	NOUN
ejpam-5733	94	11	)	)	PUNCT
ejpam-5733	94	12	is	be	AUX
ejpam-5733	94	13	said	say	VERB
ejpam-5733	94	14	to	to	PART
ejpam-5733	94	15	be	be	AUX
ejpam-5733	94	16	an	an	DET
ejpam-5733	94	17	r	r	NOUN
ejpam-5733	94	18	-	-	PUNCT
ejpam-5733	94	19	fuzzy	fuzzy	ADJ
ejpam-5733	94	20	soft	soft	ADJ
ejpam-5733	94	21	δ	δ	NOUN
ejpam-5733	94	22	-	-	ADJ
ejpam-5733	94	23	open	open	ADJ
ejpam-5733	94	24	(	(	PUNCT
ejpam-5733	94	25	resp	resp	NOUN
ejpam-5733	94	26	.	.	PUNCT
ejpam-5733	94	27	,	,	PUNCT
ejpam-5733	94	28	semi	semi	ADJ
ejpam-5733	94	29	-	-	ADJ
ejpam-5733	94	30	open	open	ADJ
ejpam-5733	94	31	and	and	CCONJ
ejpam-5733	94	32	α	α	VERB
ejpam-5733	94	33	-	-	ADJ
ejpam-5733	94	34	open	open	ADJ
ejpam-5733	94	35	[	[	X
ejpam-5733	94	36	8	8	NUM
ejpam-5733	94	37	]	]	PUNCT
ejpam-5733	94	38	)	)	PUNCT
ejpam-5733	94	39	if	if	SCONJ
ejpam-5733	94	40	iτ	iτ	INTJ
ejpam-5733	94	41	(	(	PUNCT
ejpam-5733	94	42	e	e	NOUN
ejpam-5733	94	43	,	,	PUNCT
ejpam-5733	94	44	cτ	cτ	INTJ
ejpam-5733	94	45	(	(	PUNCT
ejpam-5733	94	46	e	e	NOUN
ejpam-5733	94	47	,	,	PUNCT
ejpam-5733	94	48	fa	fa	NOUN
ejpam-5733	94	49	,	,	PUNCT
ejpam-5733	94	50	r	r	NOUN
ejpam-5733	94	51	)	)	PUNCT
ejpam-5733	94	52	,	,	PUNCT
ejpam-5733	94	53	r	r	X
ejpam-5733	94	54	)	)	PUNCT
ejpam-5733	94	55	⊑	⊑	PROPN
ejpam-5733	94	56	cτ	cτ	VERB
ejpam-5733	94	57	(	(	PUNCT
ejpam-5733	94	58	e	e	NOUN
ejpam-5733	94	59	,	,	PUNCT
ejpam-5733	94	60	iτ	iτ	X
ejpam-5733	94	61	(	(	PUNCT
ejpam-5733	94	62	e	e	NOUN
ejpam-5733	94	63	,	,	PUNCT
ejpam-5733	94	64	fa	fa	NOUN
ejpam-5733	94	65	,	,	PUNCT
ejpam-5733	94	66	r	r	NOUN
ejpam-5733	94	67	)	)	PUNCT
ejpam-5733	94	68	,	,	PUNCT
ejpam-5733	94	69	r	r	NOUN
ejpam-5733	94	70	)	)	PUNCT
ejpam-5733	94	71	(	(	PUNCT
ejpam-5733	94	72	resp	resp	NOUN
ejpam-5733	94	73	.	.	PUNCT
ejpam-5733	94	74	,	,	PUNCT
ejpam-5733	94	75	fa	fa	PROPN
ejpam-5733	94	76	⊑	⊑	X
ejpam-5733	94	77	cτ	cτ	PROPN
ejpam-5733	94	78	(	(	PUNCT
ejpam-5733	94	79	e	e	NOUN
ejpam-5733	94	80	,	,	PUNCT
ejpam-5733	94	81	iτ	iτ	X
ejpam-5733	94	82	(	(	PUNCT
ejpam-5733	94	83	e	e	NOUN
ejpam-5733	94	84	,	,	PUNCT
ejpam-5733	94	85	fa	fa	NOUN
ejpam-5733	94	86	,	,	PUNCT
ejpam-5733	94	87	r	r	NOUN
ejpam-5733	94	88	)	)	PUNCT
ejpam-5733	94	89	,	,	PUNCT
ejpam-5733	94	90	r	r	NOUN
ejpam-5733	94	91	)	)	PUNCT
ejpam-5733	94	92	and	and	CCONJ
ejpam-5733	94	93	fa	fa	X
ejpam-5733	94	94	⊑	⊑	DET
ejpam-5733	94	95	iτ	iτ	X
ejpam-5733	94	96	(	(	PUNCT
ejpam-5733	94	97	e	e	NOUN
ejpam-5733	94	98	,	,	PUNCT
ejpam-5733	94	99	cτ	cτ	INTJ
ejpam-5733	94	100	(	(	PUNCT
ejpam-5733	94	101	e	e	NOUN
ejpam-5733	94	102	,	,	PUNCT
ejpam-5733	94	103	iτ	iτ	X
ejpam-5733	94	104	(	(	PUNCT
ejpam-5733	94	105	e	e	NOUN
ejpam-5733	94	106	,	,	PUNCT
ejpam-5733	94	107	fa	fa	NOUN
ejpam-5733	94	108	,	,	PUNCT
ejpam-5733	94	109	r	r	NOUN
ejpam-5733	94	110	)	)	PUNCT
ejpam-5733	94	111	,	,	PUNCT
ejpam-5733	94	112	r	r	NOUN
ejpam-5733	94	113	)	)	PUNCT
ejpam-5733	94	114	,	,	PUNCT
ejpam-5733	94	115	r	r	NOUN
ejpam-5733	94	116	)	)	PUNCT
ejpam-5733	94	117	)	)	PUNCT
ejpam-5733	94	118	for	for	ADP
ejpam-5733	94	119	every	every	DET
ejpam-5733	94	120	e	e	PROPN
ejpam-5733	94	121	∈	∈	PROPN
ejpam-5733	94	122	e	e	NOUN
ejpam-5733	94	123	and	and	CCONJ
ejpam-5733	94	124	r	r	PROPN
ejpam-5733	94	125	∈	∈	PROPN
ejpam-5733	94	126	i0	i0	PROPN
ejpam-5733	94	127	.	.	PUNCT
ejpam-5733	95	1	remark	remark	PROPN
ejpam-5733	95	2	1	1	NUM
ejpam-5733	95	3	.	.	PUNCT
ejpam-5733	96	1	the	the	DET
ejpam-5733	96	2	concepts	concept	NOUN
ejpam-5733	96	3	of	of	ADP
ejpam-5733	96	4	an	an	DET
ejpam-5733	96	5	r	r	NOUN
ejpam-5733	96	6	-	-	PUNCT
ejpam-5733	96	7	fuzzy	fuzzy	ADJ
ejpam-5733	96	8	soft	soft	ADJ
ejpam-5733	96	9	δ	δ	NOUN
ejpam-5733	96	10	-	-	ADJ
ejpam-5733	96	11	open	open	ADJ
ejpam-5733	96	12	set	set	NOUN
ejpam-5733	96	13	and	and	CCONJ
ejpam-5733	96	14	r	r	NOUN
ejpam-5733	96	15	-	-	PUNCT
ejpam-5733	96	16	fuzzy	fuzzy	ADJ
ejpam-5733	96	17	soft	soft	ADJ
ejpam-5733	96	18	β	β	NOUN
ejpam-5733	96	19	-	-	ADJ
ejpam-5733	96	20	open	open	ADJ
ejpam-5733	96	21	set	set	NOUN
ejpam-5733	96	22	[	[	X
ejpam-5733	96	23	33	33	NUM
ejpam-5733	96	24	]	]	PUNCT
ejpam-5733	96	25	are	be	AUX
ejpam-5733	96	26	independent	independent	ADJ
ejpam-5733	96	27	concepts	concept	NOUN
ejpam-5733	96	28	,	,	PUNCT
ejpam-5733	96	29	as	as	SCONJ
ejpam-5733	96	30	shown	show	VERB
ejpam-5733	96	31	by	by	ADP
ejpam-5733	96	32	examples	example	NOUN
ejpam-5733	96	33	2	2	NUM
ejpam-5733	96	34	and	and	CCONJ
ejpam-5733	96	35	3	3	NUM
ejpam-5733	96	36	.	.	NOUN
ejpam-5733	96	37	example	example	NOUN
ejpam-5733	96	38	2	2	NUM
ejpam-5733	96	39	.	.	PUNCT
ejpam-5733	96	40	let	let	VERB
ejpam-5733	96	41	u	u	PRON
ejpam-5733	96	42	=	=	NOUN
ejpam-5733	96	43	{	{	PUNCT
ejpam-5733	96	44	u1	u1	NOUN
ejpam-5733	96	45	,	,	PUNCT
ejpam-5733	96	46	u2	u2	PROPN
ejpam-5733	96	47	}	}	PUNCT
ejpam-5733	96	48	,	,	PUNCT
ejpam-5733	97	1	e	e	X
ejpam-5733	97	2	=	=	PUNCT
ejpam-5733	97	3	{	{	PUNCT
ejpam-5733	97	4	e	e	NOUN
ejpam-5733	97	5	,	,	PUNCT
ejpam-5733	97	6	k	k	NOUN
ejpam-5733	97	7	}	}	PUNCT
ejpam-5733	97	8	,	,	PUNCT
ejpam-5733	97	9	and	and	CCONJ
ejpam-5733	97	10	define	define	VERB
ejpam-5733	97	11	he	he	PRON
ejpam-5733	97	12	,	,	PUNCT
ejpam-5733	97	13	ge	ge	PROPN
ejpam-5733	97	14	,	,	PUNCT
ejpam-5733	97	15	fe	fe	X
ejpam-5733	97	16	∈	∈	PROPN
ejpam-5733	97	17	(	(	PUNCT
ejpam-5733	97	18	̃u	̃u	PROPN
ejpam-5733	97	19	,	,	PUNCT
ejpam-5733	97	20	e	e	NOUN
ejpam-5733	97	21	)	)	PUNCT
ejpam-5733	97	22	as	as	SCONJ
ejpam-5733	97	23	follows	follow	VERB
ejpam-5733	97	24	:	:	PUNCT
ejpam-5733	97	25	he	he	PRON
ejpam-5733	97	26	=	=	PUNCT
ejpam-5733	97	27	{	{	PUNCT
ejpam-5733	97	28	(	(	PUNCT
ejpam-5733	97	29	e	e	NOUN
ejpam-5733	97	30	,	,	PUNCT
ejpam-5733	97	31	{	{	PUNCT
ejpam-5733	97	32	u10.4	u10.4	PROPN
ejpam-5733	97	33	,	,	PUNCT
ejpam-5733	97	34	u2	u2	NOUN
ejpam-5733	97	35	0.5	0.5	NUM
ejpam-5733	97	36	}	}	PUNCT
ejpam-5733	97	37	)	)	PUNCT
ejpam-5733	97	38	,	,	PUNCT
ejpam-5733	97	39	(	(	PUNCT
ejpam-5733	97	40	k	k	NOUN
ejpam-5733	97	41	,	,	PUNCT
ejpam-5733	97	42	{	{	PUNCT
ejpam-5733	97	43	u1	u1	NOUN
ejpam-5733	97	44	0.4	0.4	NUM
ejpam-5733	97	45	,	,	PUNCT
ejpam-5733	97	46	u2	u2	PROPN
ejpam-5733	97	47	0.5	0.5	NUM
ejpam-5733	97	48	}	}	PUNCT
ejpam-5733	97	49	)	)	PUNCT
ejpam-5733	97	50	}	}	PUNCT
ejpam-5733	97	51	,	,	PUNCT
ejpam-5733	97	52	ge	ge	PROPN
ejpam-5733	97	53	=	=	PRON
ejpam-5733	97	54	{	{	PUNCT
ejpam-5733	97	55	(	(	PUNCT
ejpam-5733	97	56	e	e	NOUN
ejpam-5733	97	57	,	,	PUNCT
ejpam-5733	97	58	{	{	PUNCT
ejpam-5733	97	59	u10.2	u10.2	ADV
ejpam-5733	97	60	,	,	PUNCT
ejpam-5733	97	61	u2	u2	PROPN
ejpam-5733	97	62	0.3	0.3	NUM
ejpam-5733	97	63	}	}	PUNCT
ejpam-5733	97	64	)	)	PUNCT
ejpam-5733	97	65	,	,	PUNCT
ejpam-5733	97	66	(	(	PUNCT
ejpam-5733	97	67	k	k	NOUN
ejpam-5733	97	68	,	,	PUNCT
ejpam-5733	97	69	{	{	PUNCT
ejpam-5733	97	70	u1	u1	PROPN
ejpam-5733	97	71	0.2	0.2	NUM
ejpam-5733	97	72	,	,	PUNCT
ejpam-5733	97	73	u2	u2	PROPN
ejpam-5733	97	74	0.3	0.3	NUM
ejpam-5733	97	75	}	}	PUNCT
ejpam-5733	97	76	)	)	PUNCT
ejpam-5733	97	77	}	}	PUNCT
ejpam-5733	97	78	,	,	PUNCT
ejpam-5733	97	79	fe	fe	X
ejpam-5733	97	80	=	=	PUNCT
ejpam-5733	97	81	{	{	PUNCT
ejpam-5733	97	82	(	(	PUNCT
ejpam-5733	97	83	e	e	NOUN
ejpam-5733	97	84	,	,	PUNCT
ejpam-5733	97	85	{	{	PUNCT
ejpam-5733	97	86	u10.8	u10.8	PROPN
ejpam-5733	97	87	,	,	PUNCT
ejpam-5733	97	88	u2	u2	NOUN
ejpam-5733	97	89	0.7	0.7	NUM
ejpam-5733	97	90	}	}	PUNCT
ejpam-5733	97	91	)	)	PUNCT
ejpam-5733	97	92	,	,	PUNCT
ejpam-5733	97	93	(	(	PUNCT
ejpam-5733	97	94	k	k	NOUN
ejpam-5733	97	95	,	,	PUNCT
ejpam-5733	97	96	{	{	PUNCT
ejpam-5733	97	97	u1	u1	NOUN
ejpam-5733	97	98	0.8	0.8	NUM
ejpam-5733	97	99	,	,	PUNCT
ejpam-5733	97	100	u2	u2	NOUN
ejpam-5733	97	101	0.7	0.7	NUM
ejpam-5733	97	102	}	}	PUNCT
ejpam-5733	97	103	)	)	PUNCT
ejpam-5733	97	104	}	}	PUNCT
ejpam-5733	97	105	.	.	PUNCT
ejpam-5733	98	1	define	define	VERB
ejpam-5733	98	2	fuzzy	fuzzy	ADJ
ejpam-5733	98	3	soft	soft	ADJ
ejpam-5733	98	4	topology	topology	NOUN
ejpam-5733	98	5	τe	τe	NOUN
ejpam-5733	98	6	:	:	PUNCT
ejpam-5733	98	7	e	e	X
ejpam-5733	98	8	−→	−→	NOUN
ejpam-5733	98	9	[	[	X
ejpam-5733	98	10	0	0	NUM
ejpam-5733	98	11	,	,	PUNCT
ejpam-5733	98	12	1](̃u	1](̃u	NUM
ejpam-5733	98	13	,	,	PUNCT
ejpam-5733	98	14	e	e	NOUN
ejpam-5733	98	15	)	)	PUNCT
ejpam-5733	98	16	as	as	SCONJ
ejpam-5733	98	17	follows	follow	VERB
ejpam-5733	98	18	:	:	PUNCT
ejpam-5733	98	19	i.	i.	PROPN
ejpam-5733	98	20	alshammari	alshammari	PROPN
ejpam-5733	98	21	et	et	PROPN
ejpam-5733	98	22	al	al	PROPN
ejpam-5733	98	23	.	.	PUNCT
ejpam-5733	98	24	/	/	SYM
ejpam-5733	98	25	eur	eur	PROPN
ejpam-5733	98	26	.	.	PUNCT
ejpam-5733	99	1	j.	j.	PROPN
ejpam-5733	99	2	pure	pure	PROPN
ejpam-5733	99	3	appl	appl	PROPN
ejpam-5733	99	4	.	.	PROPN
ejpam-5733	99	5	math	math	PROPN
ejpam-5733	99	6	,	,	PUNCT
ejpam-5733	99	7	18	18	NUM
ejpam-5733	99	8	(	(	PUNCT
ejpam-5733	99	9	1	1	NUM
ejpam-5733	99	10	)	)	PUNCT
ejpam-5733	99	11	(	(	PUNCT
ejpam-5733	99	12	2025	2025	NUM
ejpam-5733	99	13	)	)	PUNCT
ejpam-5733	99	14	,	,	PUNCT
ejpam-5733	99	15	5733	5733	NUM
ejpam-5733	99	16	5	5	NUM
ejpam-5733	99	17	of	of	ADP
ejpam-5733	99	18	21	21	NUM
ejpam-5733	99	19	τe(me	τe(me	NOUN
ejpam-5733	99	20	)	)	PUNCT
ejpam-5733	100	1	=	=	PUNCT
ejpam-5733	100	2			NOUN
ejpam-5733	100	3	1	1	NUM
ejpam-5733	100	4	,	,	PUNCT
ejpam-5733	100	5	if	if	SCONJ
ejpam-5733	100	6	me	i	PRON
ejpam-5733	100	7	∈	∈	PROPN
ejpam-5733	100	8	{	{	PUNCT
ejpam-5733	100	9	φ	φ	NOUN
ejpam-5733	100	10	,	,	PUNCT
ejpam-5733	100	11	ẽ	ẽ	PROPN
ejpam-5733	100	12	}	}	PUNCT
ejpam-5733	100	13	,	,	PUNCT
ejpam-5733	100	14	1	1	NUM
ejpam-5733	100	15	3	3	NUM
ejpam-5733	100	16	,	,	PUNCT
ejpam-5733	100	17	if	if	SCONJ
ejpam-5733	100	18	me	i	PRON
ejpam-5733	100	19	=	=	PUNCT
ejpam-5733	100	20	ge	ge	PROPN
ejpam-5733	100	21	,	,	PUNCT
ejpam-5733	100	22	2	2	NUM
ejpam-5733	100	23	3	3	NUM
ejpam-5733	100	24	,	,	PUNCT
ejpam-5733	100	25	if	if	SCONJ
ejpam-5733	100	26	me	i	PRON
ejpam-5733	100	27	=	=	SYM
ejpam-5733	100	28	fe	fe	X
ejpam-5733	100	29	,	,	PUNCT
ejpam-5733	100	30	0	0	NUM
ejpam-5733	100	31	,	,	PUNCT
ejpam-5733	100	32	otherwise	otherwise	ADV
ejpam-5733	100	33	,	,	PUNCT
ejpam-5733	100	34	τk(me	τk(me	NOUN
ejpam-5733	100	35	)	)	PUNCT
ejpam-5733	100	36	=	=	PUNCT
ejpam-5733	100	37			NOUN
ejpam-5733	100	38	1	1	NUM
ejpam-5733	100	39	,	,	PUNCT
ejpam-5733	100	40	if	if	SCONJ
ejpam-5733	100	41	me	i	PRON
ejpam-5733	100	42	∈	∈	PROPN
ejpam-5733	100	43	{	{	PUNCT
ejpam-5733	100	44	φ	φ	NOUN
ejpam-5733	100	45	,	,	PUNCT
ejpam-5733	100	46	ẽ	ẽ	PROPN
ejpam-5733	100	47	}	}	PUNCT
ejpam-5733	100	48	,	,	PUNCT
ejpam-5733	100	49	1	1	NUM
ejpam-5733	100	50	3	3	NUM
ejpam-5733	100	51	,	,	PUNCT
ejpam-5733	100	52	if	if	SCONJ
ejpam-5733	100	53	me	i	PRON
ejpam-5733	100	54	=	=	PUNCT
ejpam-5733	100	55	ge	ge	PROPN
ejpam-5733	100	56	,	,	PUNCT
ejpam-5733	100	57	1	1	NUM
ejpam-5733	100	58	2	2	NUM
ejpam-5733	100	59	,	,	PUNCT
ejpam-5733	100	60	if	if	SCONJ
ejpam-5733	100	61	me	i	PRON
ejpam-5733	100	62	=	=	SYM
ejpam-5733	100	63	fe	fe	X
ejpam-5733	100	64	,	,	PUNCT
ejpam-5733	100	65	0	0	NUM
ejpam-5733	100	66	,	,	PUNCT
ejpam-5733	100	67	otherwise	otherwise	ADV
ejpam-5733	100	68	.	.	PUNCT
ejpam-5733	101	1	thus	thus	ADV
ejpam-5733	101	2	,	,	PUNCT
ejpam-5733	101	3	he	he	PRON
ejpam-5733	101	4	is	be	AUX
ejpam-5733	101	5	1	1	NUM
ejpam-5733	101	6	3	3	NUM
ejpam-5733	101	7	-fuzzy	-fuzzy	NOUN
ejpam-5733	101	8	soft	soft	ADJ
ejpam-5733	101	9	β	β	NOUN
ejpam-5733	101	10	-	-	ADJ
ejpam-5733	101	11	open	open	ADJ
ejpam-5733	101	12	set	set	NOUN
ejpam-5733	101	13	,	,	PUNCT
ejpam-5733	101	14	but	but	CCONJ
ejpam-5733	101	15	it	it	PRON
ejpam-5733	101	16	is	be	AUX
ejpam-5733	101	17	neither	neither	CCONJ
ejpam-5733	101	18	1	1	NUM
ejpam-5733	101	19	3	3	NUM
ejpam-5733	101	20	-fuzzy	-fuzzy	PROPN
ejpam-5733	101	21	soft	soft	ADJ
ejpam-5733	101	22	δ	δ	NOUN
ejpam-5733	101	23	-	-	ADJ
ejpam-5733	101	24	open	open	ADJ
ejpam-5733	101	25	nor	nor	CCONJ
ejpam-5733	101	26	1	1	NUM
ejpam-5733	101	27	3	3	NUM
ejpam-5733	101	28	-fuzzy	-fuzzy	NOUN
ejpam-5733	101	29	soft	soft	ADJ
ejpam-5733	101	30	semi	semi	ADJ
ejpam-5733	101	31	-	-	ADJ
ejpam-5733	101	32	open	open	ADJ
ejpam-5733	101	33	.	.	PUNCT
ejpam-5733	102	1	example	example	NOUN
ejpam-5733	103	1	3	3	X
ejpam-5733	103	2	.	.	PUNCT
ejpam-5733	103	3	let	let	VERB
ejpam-5733	103	4	u	u	PRON
ejpam-5733	103	5	=	=	NOUN
ejpam-5733	103	6	{	{	PUNCT
ejpam-5733	103	7	u1	u1	NOUN
ejpam-5733	103	8	,	,	PUNCT
ejpam-5733	103	9	u2	u2	NOUN
ejpam-5733	103	10	,	,	PUNCT
ejpam-5733	103	11	u3	u3	NOUN
ejpam-5733	103	12	}	}	PUNCT
ejpam-5733	103	13	,	,	PUNCT
ejpam-5733	103	14	e	e	X
ejpam-5733	103	15	=	=	PUNCT
ejpam-5733	103	16	{	{	PUNCT
ejpam-5733	103	17	e	e	NOUN
ejpam-5733	103	18	,	,	PUNCT
ejpam-5733	103	19	k	k	NOUN
ejpam-5733	103	20	}	}	PUNCT
ejpam-5733	103	21	,	,	PUNCT
ejpam-5733	103	22	and	and	CCONJ
ejpam-5733	103	23	define	define	VERB
ejpam-5733	103	24	he	he	PRON
ejpam-5733	103	25	,	,	PUNCT
ejpam-5733	103	26	ge	ge	PROPN
ejpam-5733	103	27	,	,	PUNCT
ejpam-5733	103	28	fe	fe	X
ejpam-5733	103	29	∈	∈	PROPN
ejpam-5733	103	30	(	(	PUNCT
ejpam-5733	103	31	̃u	̃u	PROPN
ejpam-5733	103	32	,	,	PUNCT
ejpam-5733	103	33	e	e	NOUN
ejpam-5733	103	34	)	)	PUNCT
ejpam-5733	103	35	as	as	SCONJ
ejpam-5733	103	36	follows	follow	VERB
ejpam-5733	103	37	:	:	PUNCT
ejpam-5733	103	38	he	he	PRON
ejpam-5733	103	39	=	=	PUNCT
ejpam-5733	103	40	{	{	PUNCT
ejpam-5733	103	41	(	(	PUNCT
ejpam-5733	103	42	e	e	NOUN
ejpam-5733	103	43	,	,	PUNCT
ejpam-5733	103	44	{	{	PUNCT
ejpam-5733	103	45	u10	u10	PROPN
ejpam-5733	103	46	,	,	PUNCT
ejpam-5733	103	47	u2	u2	PROPN
ejpam-5733	103	48	1	1	NUM
ejpam-5733	103	49	,	,	PUNCT
ejpam-5733	103	50	u3	u3	NOUN
ejpam-5733	103	51	1	1	NUM
ejpam-5733	103	52	}	}	PUNCT
ejpam-5733	103	53	)	)	PUNCT
ejpam-5733	103	54	,	,	PUNCT
ejpam-5733	103	55	(	(	PUNCT
ejpam-5733	103	56	k	k	X
ejpam-5733	103	57	,	,	PUNCT
ejpam-5733	103	58	{	{	PUNCT
ejpam-5733	103	59	u10	u10	PROPN
ejpam-5733	103	60	,	,	PUNCT
ejpam-5733	103	61	u2	u2	PROPN
ejpam-5733	103	62	1	1	NUM
ejpam-5733	103	63	,	,	PUNCT
ejpam-5733	103	64	u3	u3	NOUN
ejpam-5733	103	65	1	1	NUM
ejpam-5733	103	66	}	}	PUNCT
ejpam-5733	103	67	)	)	PUNCT
ejpam-5733	103	68	}	}	PUNCT
ejpam-5733	103	69	,	,	PUNCT
ejpam-5733	103	70	ge	ge	PROPN
ejpam-5733	103	71	=	=	PRON
ejpam-5733	103	72	{	{	PUNCT
ejpam-5733	103	73	(	(	PUNCT
ejpam-5733	103	74	e	e	NOUN
ejpam-5733	103	75	,	,	PUNCT
ejpam-5733	103	76	{	{	PUNCT
ejpam-5733	103	77	u10	u10	PROPN
ejpam-5733	103	78	,	,	PUNCT
ejpam-5733	103	79	u2	u2	PROPN
ejpam-5733	103	80	0	0	PUNCT
ejpam-5733	103	81	,	,	PUNCT
ejpam-5733	103	82	u3	u3	NOUN
ejpam-5733	103	83	1	1	NUM
ejpam-5733	103	84	}	}	PUNCT
ejpam-5733	103	85	)	)	PUNCT
ejpam-5733	103	86	,	,	PUNCT
ejpam-5733	103	87	(	(	PUNCT
ejpam-5733	103	88	k	k	X
ejpam-5733	103	89	,	,	PUNCT
ejpam-5733	103	90	{	{	PUNCT
ejpam-5733	103	91	u10	u10	PROPN
ejpam-5733	103	92	,	,	PUNCT
ejpam-5733	103	93	u2	u2	PROPN
ejpam-5733	103	94	0	0	PUNCT
ejpam-5733	103	95	,	,	PUNCT
ejpam-5733	103	96	u3	u3	NOUN
ejpam-5733	103	97	1	1	NUM
ejpam-5733	103	98	}	}	PUNCT
ejpam-5733	103	99	)	)	PUNCT
ejpam-5733	103	100	}	}	PUNCT
ejpam-5733	103	101	,	,	PUNCT
ejpam-5733	103	102	fe	fe	X
ejpam-5733	103	103	=	=	PUNCT
ejpam-5733	103	104	{	{	PUNCT
ejpam-5733	103	105	(	(	PUNCT
ejpam-5733	103	106	e	e	NOUN
ejpam-5733	103	107	,	,	PUNCT
ejpam-5733	103	108	{	{	PUNCT
ejpam-5733	103	109	u10	u10	PROPN
ejpam-5733	103	110	,	,	PUNCT
ejpam-5733	103	111	u2	u2	PROPN
ejpam-5733	103	112	1	1	NUM
ejpam-5733	103	113	,	,	PUNCT
ejpam-5733	103	114	u3	u3	NOUN
ejpam-5733	103	115	0	0	NUM
ejpam-5733	103	116	}	}	PUNCT
ejpam-5733	103	117	)	)	PUNCT
ejpam-5733	103	118	,	,	PUNCT
ejpam-5733	103	119	(	(	PUNCT
ejpam-5733	103	120	k	k	X
ejpam-5733	103	121	,	,	PUNCT
ejpam-5733	103	122	{	{	PUNCT
ejpam-5733	103	123	u10	u10	PROPN
ejpam-5733	103	124	,	,	PUNCT
ejpam-5733	103	125	u2	u2	PROPN
ejpam-5733	103	126	1	1	NUM
ejpam-5733	103	127	,	,	PUNCT
ejpam-5733	103	128	u3	u3	NOUN
ejpam-5733	103	129	0	0	NUM
ejpam-5733	103	130	}	}	PUNCT
ejpam-5733	103	131	)	)	PUNCT
ejpam-5733	103	132	}	}	PUNCT
ejpam-5733	103	133	.	.	PUNCT
ejpam-5733	104	1	define	define	VERB
ejpam-5733	104	2	fuzzy	fuzzy	ADJ
ejpam-5733	104	3	soft	soft	ADJ
ejpam-5733	104	4	topology	topology	NOUN
ejpam-5733	104	5	τe	τe	NOUN
ejpam-5733	104	6	:	:	PUNCT
ejpam-5733	104	7	e	e	X
ejpam-5733	104	8	−→	−→	NOUN
ejpam-5733	104	9	[	[	X
ejpam-5733	104	10	0	0	NUM
ejpam-5733	104	11	,	,	PUNCT
ejpam-5733	104	12	1](̃u	1](̃u	NUM
ejpam-5733	104	13	,	,	PUNCT
ejpam-5733	104	14	e	e	NOUN
ejpam-5733	104	15	)	)	PUNCT
ejpam-5733	104	16	as	as	SCONJ
ejpam-5733	104	17	follows	follow	VERB
ejpam-5733	104	18	:	:	PUNCT
ejpam-5733	104	19	τe(me	τe(me	NOUN
ejpam-5733	104	20	)	)	PUNCT
ejpam-5733	104	21	=	=	PUNCT
ejpam-5733	105	1			NUM
ejpam-5733	105	2	1	1	NUM
ejpam-5733	105	3	,	,	PUNCT
ejpam-5733	105	4	if	if	SCONJ
ejpam-5733	105	5	me	i	PRON
ejpam-5733	105	6	∈	∈	PROPN
ejpam-5733	105	7	{	{	PUNCT
ejpam-5733	105	8	φ	φ	NOUN
ejpam-5733	105	9	,	,	PUNCT
ejpam-5733	105	10	ẽ	ẽ	PROPN
ejpam-5733	105	11	}	}	PUNCT
ejpam-5733	105	12	,	,	PUNCT
ejpam-5733	105	13	1	1	NUM
ejpam-5733	105	14	4	4	NUM
ejpam-5733	105	15	,	,	PUNCT
ejpam-5733	105	16	if	if	SCONJ
ejpam-5733	105	17	me	i	PRON
ejpam-5733	105	18	=	=	PUNCT
ejpam-5733	105	19	ge	ge	PROPN
ejpam-5733	105	20	,	,	PUNCT
ejpam-5733	105	21	1	1	NUM
ejpam-5733	105	22	2	2	NUM
ejpam-5733	105	23	,	,	PUNCT
ejpam-5733	105	24	if	if	SCONJ
ejpam-5733	105	25	me	i	PRON
ejpam-5733	105	26	=	=	SYM
ejpam-5733	105	27	fe	fe	X
ejpam-5733	105	28	,	,	PUNCT
ejpam-5733	105	29	1	1	NUM
ejpam-5733	105	30	3	3	NUM
ejpam-5733	105	31	,	,	PUNCT
ejpam-5733	105	32	if	if	SCONJ
ejpam-5733	105	33	me	i	PRON
ejpam-5733	105	34	=	=	NOUN
ejpam-5733	105	35	he	he	PRON
ejpam-5733	105	36	,	,	PUNCT
ejpam-5733	105	37	0	0	NUM
ejpam-5733	105	38	,	,	PUNCT
ejpam-5733	105	39	otherwise	otherwise	ADV
ejpam-5733	105	40	,	,	PUNCT
ejpam-5733	105	41	τk(me	τk(me	PROPN
ejpam-5733	105	42	)	)	PUNCT
ejpam-5733	105	43	=	=	PUNCT
ejpam-5733	106	1			NUM
ejpam-5733	106	2	1	1	NUM
ejpam-5733	106	3	,	,	PUNCT
ejpam-5733	106	4	if	if	SCONJ
ejpam-5733	106	5	me	i	PRON
ejpam-5733	106	6	∈	∈	PROPN
ejpam-5733	106	7	{	{	PUNCT
ejpam-5733	106	8	φ	φ	NOUN
ejpam-5733	106	9	,	,	PUNCT
ejpam-5733	106	10	ẽ	ẽ	PROPN
ejpam-5733	106	11	}	}	PUNCT
ejpam-5733	106	12	,	,	PUNCT
ejpam-5733	106	13	1	1	NUM
ejpam-5733	106	14	3	3	NUM
ejpam-5733	106	15	,	,	PUNCT
ejpam-5733	106	16	if	if	SCONJ
ejpam-5733	106	17	me	i	PRON
ejpam-5733	106	18	=	=	PUNCT
ejpam-5733	106	19	ge	ge	PROPN
ejpam-5733	106	20	,	,	PUNCT
ejpam-5733	106	21	1	1	NUM
ejpam-5733	106	22	2	2	NUM
ejpam-5733	106	23	,	,	PUNCT
ejpam-5733	106	24	if	if	SCONJ
ejpam-5733	106	25	me	i	PRON
ejpam-5733	106	26	=	=	SYM
ejpam-5733	106	27	fe	fe	X
ejpam-5733	106	28	,	,	PUNCT
ejpam-5733	106	29	1	1	NUM
ejpam-5733	106	30	3	3	NUM
ejpam-5733	106	31	,	,	PUNCT
ejpam-5733	106	32	if	if	SCONJ
ejpam-5733	106	33	me	i	PRON
ejpam-5733	106	34	=	=	NOUN
ejpam-5733	106	35	he	he	PRON
ejpam-5733	106	36	,	,	PUNCT
ejpam-5733	106	37	0	0	NUM
ejpam-5733	106	38	,	,	PUNCT
ejpam-5733	106	39	otherwise	otherwise	ADV
ejpam-5733	106	40	.	.	PUNCT
ejpam-5733	107	1	thus	thus	ADV
ejpam-5733	107	2	,	,	PUNCT
ejpam-5733	107	3	hce	hce	PROPN
ejpam-5733	107	4	is	be	AUX
ejpam-5733	107	5	1	1	NUM
ejpam-5733	107	6	4	4	NUM
ejpam-5733	107	7	-fuzzy	-fuzzy	NOUN
ejpam-5733	107	8	soft	soft	ADJ
ejpam-5733	107	9	δ	δ	NOUN
ejpam-5733	107	10	-	-	ADJ
ejpam-5733	107	11	open	open	ADJ
ejpam-5733	107	12	set	set	NOUN
ejpam-5733	107	13	,	,	PUNCT
ejpam-5733	107	14	but	but	CCONJ
ejpam-5733	107	15	it	it	PRON
ejpam-5733	107	16	is	be	AUX
ejpam-5733	107	17	neither	neither	CCONJ
ejpam-5733	107	18	1	1	NUM
ejpam-5733	107	19	4	4	NUM
ejpam-5733	107	20	-fuzzy	-fuzzy	NOUN
ejpam-5733	107	21	soft	soft	ADJ
ejpam-5733	107	22	β	β	NOUN
ejpam-5733	107	23	-	-	ADJ
ejpam-5733	107	24	open	open	ADJ
ejpam-5733	107	25	nor	nor	CCONJ
ejpam-5733	107	26	1	1	NUM
ejpam-5733	107	27	4	4	NUM
ejpam-5733	107	28	-fuzzy	-fuzzy	NOUN
ejpam-5733	107	29	soft	soft	ADJ
ejpam-5733	107	30	semi	semi	ADJ
ejpam-5733	107	31	-	-	ADJ
ejpam-5733	107	32	open	open	ADJ
ejpam-5733	107	33	.	.	PUNCT
ejpam-5733	108	1	remark	remark	NOUN
ejpam-5733	108	2	2	2	NUM
ejpam-5733	108	3	.	.	PUNCT
ejpam-5733	109	1	the	the	DET
ejpam-5733	109	2	complement	complement	NOUN
ejpam-5733	109	3	of	of	ADP
ejpam-5733	109	4	an	an	DET
ejpam-5733	109	5	r	r	NOUN
ejpam-5733	109	6	-	-	PUNCT
ejpam-5733	109	7	fuzzy	fuzzy	ADJ
ejpam-5733	109	8	soft	soft	ADJ
ejpam-5733	109	9	δ	δ	NOUN
ejpam-5733	109	10	-	-	ADJ
ejpam-5733	109	11	open	open	ADJ
ejpam-5733	109	12	(	(	PUNCT
ejpam-5733	109	13	resp	resp	NOUN
ejpam-5733	109	14	.	.	PUNCT
ejpam-5733	109	15	,	,	PUNCT
ejpam-5733	109	16	semi	semi	ADJ
ejpam-5733	109	17	-	-	ADJ
ejpam-5733	109	18	open	open	ADJ
ejpam-5733	109	19	,	,	PUNCT
ejpam-5733	109	20	α	α	NOUN
ejpam-5733	109	21	-	-	ADJ
ejpam-5733	109	22	open	open	ADJ
ejpam-5733	109	23	and	and	CCONJ
ejpam-5733	109	24	βopen	βopen	ADJ
ejpam-5733	109	25	)	)	PUNCT
ejpam-5733	109	26	set	set	NOUN
ejpam-5733	109	27	is	be	AUX
ejpam-5733	109	28	said	say	VERB
ejpam-5733	109	29	to	to	PART
ejpam-5733	109	30	be	be	AUX
ejpam-5733	109	31	an	an	DET
ejpam-5733	109	32	r	r	NOUN
ejpam-5733	109	33	-	-	PUNCT
ejpam-5733	109	34	fuzzy	fuzzy	ADJ
ejpam-5733	109	35	soft	soft	ADJ
ejpam-5733	109	36	δ	δ	NOUN
ejpam-5733	109	37	-	-	PUNCT
ejpam-5733	109	38	closed	closed	ADJ
ejpam-5733	109	39	(	(	PUNCT
ejpam-5733	109	40	resp	resp	NOUN
ejpam-5733	109	41	.	.	PUNCT
ejpam-5733	109	42	,	,	PUNCT
ejpam-5733	109	43	semi	semi	ADJ
ejpam-5733	109	44	-	-	ADJ
ejpam-5733	109	45	closed	closed	ADJ
ejpam-5733	109	46	,	,	PUNCT
ejpam-5733	109	47	α	α	NOUN
ejpam-5733	109	48	-	-	PUNCT
ejpam-5733	109	49	closed	closed	ADJ
ejpam-5733	109	50	and	and	CCONJ
ejpam-5733	109	51	β	β	NOUN
ejpam-5733	109	52	-	-	VERB
ejpam-5733	109	53	closed	closed	ADJ
ejpam-5733	109	54	)	)	PUNCT
ejpam-5733	109	55	.	.	PUNCT
ejpam-5733	110	1	proposition	proposition	NOUN
ejpam-5733	110	2	1	1	NUM
ejpam-5733	110	3	.	.	PUNCT
ejpam-5733	111	1	let	let	VERB
ejpam-5733	111	2	(	(	PUNCT
ejpam-5733	111	3	u	u	NOUN
ejpam-5733	111	4	,	,	PUNCT
ejpam-5733	111	5	τe	τe	PRON
ejpam-5733	111	6	)	)	PUNCT
ejpam-5733	111	7	be	be	VERB
ejpam-5733	111	8	an	an	DET
ejpam-5733	111	9	fsts	fst	NOUN
ejpam-5733	111	10	,	,	PUNCT
ejpam-5733	111	11	fa	fa	X
ejpam-5733	111	12	∈	∈	PROPN
ejpam-5733	111	13	(	(	PUNCT
ejpam-5733	111	14	̃u	̃u	PROPN
ejpam-5733	111	15	,	,	PUNCT
ejpam-5733	111	16	e	e	NOUN
ejpam-5733	111	17	)	)	PUNCT
ejpam-5733	111	18	,	,	PUNCT
ejpam-5733	111	19	e	e	PROPN
ejpam-5733	111	20	∈	∈	PROPN
ejpam-5733	111	21	e	e	NOUN
ejpam-5733	111	22	,	,	PUNCT
ejpam-5733	111	23	and	and	CCONJ
ejpam-5733	111	24	r	r	NOUN
ejpam-5733	111	25	∈	∈	PROPN
ejpam-5733	111	26	i0	i0	PROPN
ejpam-5733	111	27	.	.	PUNCT
ejpam-5733	112	1	the	the	DET
ejpam-5733	112	2	following	follow	VERB
ejpam-5733	112	3	statements	statement	NOUN
ejpam-5733	112	4	are	be	AUX
ejpam-5733	112	5	equivalent	equivalent	ADJ
ejpam-5733	112	6	:	:	PUNCT
ejpam-5733	112	7	(	(	PUNCT
ejpam-5733	112	8	i	i	NOUN
ejpam-5733	112	9	)	)	PUNCT
ejpam-5733	112	10	fa	fa	PROPN
ejpam-5733	112	11	is	be	AUX
ejpam-5733	112	12	an	an	DET
ejpam-5733	112	13	r	r	NOUN
ejpam-5733	112	14	-	-	PUNCT
ejpam-5733	112	15	fuzzy	fuzzy	ADJ
ejpam-5733	112	16	soft	soft	ADJ
ejpam-5733	112	17	semi	semi	ADJ
ejpam-5733	112	18	-	-	ADJ
ejpam-5733	112	19	open	open	ADJ
ejpam-5733	112	20	.	.	PUNCT
ejpam-5733	113	1	(	(	PUNCT
ejpam-5733	113	2	ii	ii	NOUN
ejpam-5733	113	3	)	)	PUNCT
ejpam-5733	113	4	fa	fa	PROPN
ejpam-5733	113	5	is	be	AUX
ejpam-5733	113	6	an	an	DET
ejpam-5733	113	7	r	r	NOUN
ejpam-5733	113	8	-	-	PUNCT
ejpam-5733	113	9	fuzzy	fuzzy	ADJ
ejpam-5733	113	10	soft	soft	ADJ
ejpam-5733	113	11	δ	δ	NOUN
ejpam-5733	113	12	-	-	ADJ
ejpam-5733	113	13	open	open	ADJ
ejpam-5733	113	14	and	and	CCONJ
ejpam-5733	113	15	r	r	NOUN
ejpam-5733	113	16	-	-	PUNCT
ejpam-5733	113	17	fuzzy	fuzzy	ADJ
ejpam-5733	113	18	soft	soft	ADJ
ejpam-5733	113	19	β	β	NOUN
ejpam-5733	113	20	-	-	ADJ
ejpam-5733	113	21	open	open	ADJ
ejpam-5733	113	22	.	.	PUNCT
ejpam-5733	114	1	proof	proof	NOUN
ejpam-5733	114	2	.	.	PUNCT
ejpam-5733	115	1	(	(	PUNCT
ejpam-5733	115	2	i	i	NOUN
ejpam-5733	115	3	)	)	PUNCT
ejpam-5733	115	4	⇒	⇒	PROPN
ejpam-5733	115	5	(	(	PUNCT
ejpam-5733	115	6	ii	ii	NOUN
ejpam-5733	115	7	)	)	PUNCT
ejpam-5733	115	8	let	let	VERB
ejpam-5733	115	9	fa	fa	PART
ejpam-5733	115	10	be	be	AUX
ejpam-5733	115	11	an	an	DET
ejpam-5733	115	12	r	r	NOUN
ejpam-5733	115	13	-	-	PUNCT
ejpam-5733	115	14	fuzzy	fuzzy	ADJ
ejpam-5733	115	15	soft	soft	ADJ
ejpam-5733	115	16	semi	semi	ADJ
ejpam-5733	115	17	-	-	ADJ
ejpam-5733	115	18	open	open	ADJ
ejpam-5733	115	19	,	,	PUNCT
ejpam-5733	115	20	then	then	ADV
ejpam-5733	115	21	fa	fa	INTJ
ejpam-5733	115	22	⊑	⊑	X
ejpam-5733	115	23	cτ	cτ	PROPN
ejpam-5733	115	24	(	(	PUNCT
ejpam-5733	115	25	e	e	NOUN
ejpam-5733	115	26	,	,	PUNCT
ejpam-5733	115	27	iτ	iτ	X
ejpam-5733	115	28	(	(	PUNCT
ejpam-5733	115	29	e	e	NOUN
ejpam-5733	115	30	,	,	PUNCT
ejpam-5733	115	31	fa	fa	NOUN
ejpam-5733	115	32	,	,	PUNCT
ejpam-5733	115	33	r	r	NOUN
ejpam-5733	115	34	)	)	PUNCT
ejpam-5733	115	35	,	,	PUNCT
ejpam-5733	115	36	r	r	X
ejpam-5733	115	37	)	)	PUNCT
ejpam-5733	115	38	⊑	⊑	PROPN
ejpam-5733	115	39	cτ	cτ	VERB
ejpam-5733	115	40	(	(	PUNCT
ejpam-5733	115	41	e	e	NOUN
ejpam-5733	115	42	,	,	PUNCT
ejpam-5733	115	43	iτ	iτ	INTJ
ejpam-5733	115	44	(	(	PUNCT
ejpam-5733	115	45	cτ	cτ	INTJ
ejpam-5733	115	46	(	(	PUNCT
ejpam-5733	115	47	e	e	NOUN
ejpam-5733	115	48	,	,	PUNCT
ejpam-5733	115	49	fa	fa	NOUN
ejpam-5733	115	50	,	,	PUNCT
ejpam-5733	115	51	r	r	NOUN
ejpam-5733	115	52	)	)	PUNCT
ejpam-5733	115	53	,	,	PUNCT
ejpam-5733	115	54	r	r	NOUN
ejpam-5733	115	55	)	)	PUNCT
ejpam-5733	115	56	,	,	PUNCT
ejpam-5733	115	57	r	r	NOUN
ejpam-5733	115	58	)	)	PUNCT
ejpam-5733	115	59	.	.	PUNCT
ejpam-5733	116	1	this	this	PRON
ejpam-5733	116	2	shows	show	VERB
ejpam-5733	116	3	that	that	SCONJ
ejpam-5733	116	4	fa	fa	PROPN
ejpam-5733	116	5	is	be	AUX
ejpam-5733	116	6	r	r	NOUN
ejpam-5733	116	7	-	-	PUNCT
ejpam-5733	116	8	fuzzy	fuzzy	ADJ
ejpam-5733	116	9	soft	soft	ADJ
ejpam-5733	116	10	β	β	NOUN
ejpam-5733	116	11	-	-	ADJ
ejpam-5733	116	12	open	open	ADJ
ejpam-5733	116	13	.	.	PUNCT
ejpam-5733	117	1	moreover	moreover	ADV
ejpam-5733	117	2	,	,	PUNCT
ejpam-5733	117	3	iτ	iτ	INTJ
ejpam-5733	117	4	(	(	PUNCT
ejpam-5733	117	5	e	e	NOUN
ejpam-5733	117	6	,	,	PUNCT
ejpam-5733	117	7	cτ	cτ	INTJ
ejpam-5733	117	8	(	(	PUNCT
ejpam-5733	117	9	e	e	NOUN
ejpam-5733	117	10	,	,	PUNCT
ejpam-5733	117	11	fa	fa	NOUN
ejpam-5733	117	12	,	,	PUNCT
ejpam-5733	117	13	r	r	NOUN
ejpam-5733	117	14	)	)	PUNCT
ejpam-5733	117	15	,	,	PUNCT
ejpam-5733	117	16	r	r	X
ejpam-5733	117	17	)	)	PUNCT
ejpam-5733	117	18	⊑	⊑	PROPN
ejpam-5733	117	19	cτ	cτ	VERB
ejpam-5733	117	20	(	(	PUNCT
ejpam-5733	117	21	e	e	NOUN
ejpam-5733	117	22	,	,	PUNCT
ejpam-5733	117	23	fa	fa	NOUN
ejpam-5733	117	24	,	,	PUNCT
ejpam-5733	117	25	r	r	NOUN
ejpam-5733	117	26	)	)	PUNCT
ejpam-5733	117	27	⊑	⊑	PROPN
ejpam-5733	117	28	cτ	cτ	VERB
ejpam-5733	117	29	(	(	PUNCT
ejpam-5733	117	30	e	e	NOUN
ejpam-5733	117	31	,	,	PUNCT
ejpam-5733	117	32	cτ	cτ	INTJ
ejpam-5733	117	33	(	(	PUNCT
ejpam-5733	117	34	e	e	NOUN
ejpam-5733	117	35	,	,	PUNCT
ejpam-5733	117	36	iτ	iτ	X
ejpam-5733	117	37	(	(	PUNCT
ejpam-5733	117	38	e	e	NOUN
ejpam-5733	117	39	,	,	PUNCT
ejpam-5733	117	40	fa	fa	NOUN
ejpam-5733	117	41	,	,	PUNCT
ejpam-5733	117	42	r	r	NOUN
ejpam-5733	117	43	)	)	PUNCT
ejpam-5733	117	44	,	,	PUNCT
ejpam-5733	117	45	r	r	NOUN
ejpam-5733	117	46	)	)	PUNCT
ejpam-5733	117	47	,	,	PUNCT
ejpam-5733	117	48	r	r	NOUN
ejpam-5733	117	49	)	)	PUNCT
ejpam-5733	117	50	=	=	NOUN
ejpam-5733	117	51	cτ	cτ	INTJ
ejpam-5733	117	52	(	(	PUNCT
ejpam-5733	117	53	e	e	NOUN
ejpam-5733	117	54	,	,	PUNCT
ejpam-5733	117	55	iτ	iτ	X
ejpam-5733	117	56	(	(	PUNCT
ejpam-5733	117	57	e	e	NOUN
ejpam-5733	117	58	,	,	PUNCT
ejpam-5733	117	59	fa	fa	NOUN
ejpam-5733	117	60	,	,	PUNCT
ejpam-5733	117	61	r	r	NOUN
ejpam-5733	117	62	)	)	PUNCT
ejpam-5733	117	63	,	,	PUNCT
ejpam-5733	117	64	r	r	NOUN
ejpam-5733	117	65	)	)	PUNCT
ejpam-5733	117	66	.	.	PUNCT
ejpam-5733	118	1	i.	i.	PROPN
ejpam-5733	118	2	alshammari	alshammari	PROPN
ejpam-5733	118	3	et	et	PROPN
ejpam-5733	118	4	al	al	PROPN
ejpam-5733	118	5	.	.	PUNCT
ejpam-5733	118	6	/	/	SYM
ejpam-5733	118	7	eur	eur	PROPN
ejpam-5733	118	8	.	.	PUNCT
ejpam-5733	119	1	j.	j.	PROPN
ejpam-5733	119	2	pure	pure	PROPN
ejpam-5733	119	3	appl	appl	PROPN
ejpam-5733	119	4	.	.	PROPN
ejpam-5733	119	5	math	math	PROPN
ejpam-5733	119	6	,	,	PUNCT
ejpam-5733	119	7	18	18	NUM
ejpam-5733	119	8	(	(	PUNCT
ejpam-5733	119	9	1	1	NUM
ejpam-5733	119	10	)	)	PUNCT
ejpam-5733	119	11	(	(	PUNCT
ejpam-5733	119	12	2025	2025	NUM
ejpam-5733	119	13	)	)	PUNCT
ejpam-5733	119	14	,	,	PUNCT
ejpam-5733	119	15	5733	5733	NUM
ejpam-5733	119	16	6	6	NUM
ejpam-5733	119	17	of	of	ADP
ejpam-5733	119	18	21	21	NUM
ejpam-5733	119	19	therefore	therefore	ADV
ejpam-5733	119	20	,	,	PUNCT
ejpam-5733	119	21	fa	fa	PROPN
ejpam-5733	119	22	is	be	AUX
ejpam-5733	119	23	r	r	NOUN
ejpam-5733	119	24	-	-	PUNCT
ejpam-5733	119	25	fuzzy	fuzzy	ADJ
ejpam-5733	119	26	soft	soft	ADJ
ejpam-5733	119	27	δ	δ	NOUN
ejpam-5733	119	28	-	-	NOUN
ejpam-5733	119	29	open	open	ADJ
ejpam-5733	119	30	.	.	PUNCT
ejpam-5733	120	1	(	(	PUNCT
ejpam-5733	120	2	ii)⇒	ii)⇒	PROPN
ejpam-5733	120	3	(	(	PUNCT
ejpam-5733	120	4	i	i	NOUN
ejpam-5733	120	5	)	)	PUNCT
ejpam-5733	120	6	let	let	VERB
ejpam-5733	120	7	fa	fa	PART
ejpam-5733	120	8	be	be	AUX
ejpam-5733	120	9	an	an	DET
ejpam-5733	120	10	r	r	NOUN
ejpam-5733	120	11	-	-	PUNCT
ejpam-5733	120	12	fuzzy	fuzzy	ADJ
ejpam-5733	120	13	soft	soft	ADJ
ejpam-5733	120	14	δ	δ	NOUN
ejpam-5733	120	15	-	-	ADJ
ejpam-5733	120	16	open	open	ADJ
ejpam-5733	120	17	and	and	CCONJ
ejpam-5733	120	18	r	r	NOUN
ejpam-5733	120	19	-	-	PUNCT
ejpam-5733	120	20	fuzzy	fuzzy	ADJ
ejpam-5733	120	21	soft	soft	ADJ
ejpam-5733	120	22	β	β	NOUN
ejpam-5733	120	23	-	-	ADJ
ejpam-5733	120	24	open	open	ADJ
ejpam-5733	120	25	,	,	PUNCT
ejpam-5733	120	26	then	then	ADV
ejpam-5733	120	27	iτ	iτ	INTJ
ejpam-5733	120	28	(	(	PUNCT
ejpam-5733	120	29	e	e	NOUN
ejpam-5733	120	30	,	,	PUNCT
ejpam-5733	120	31	cτ	cτ	INTJ
ejpam-5733	120	32	(	(	PUNCT
ejpam-5733	120	33	e	e	NOUN
ejpam-5733	120	34	,	,	PUNCT
ejpam-5733	120	35	fa	fa	NOUN
ejpam-5733	120	36	,	,	PUNCT
ejpam-5733	120	37	r	r	NOUN
ejpam-5733	120	38	)	)	PUNCT
ejpam-5733	120	39	,	,	PUNCT
ejpam-5733	120	40	r	r	X
ejpam-5733	120	41	)	)	PUNCT
ejpam-5733	120	42	⊑	⊑	PROPN
ejpam-5733	120	43	cτ	cτ	VERB
ejpam-5733	120	44	(	(	PUNCT
ejpam-5733	120	45	e	e	NOUN
ejpam-5733	120	46	,	,	PUNCT
ejpam-5733	120	47	iτ	iτ	X
ejpam-5733	120	48	(	(	PUNCT
ejpam-5733	120	49	e	e	NOUN
ejpam-5733	120	50	,	,	PUNCT
ejpam-5733	120	51	fa	fa	NOUN
ejpam-5733	120	52	,	,	PUNCT
ejpam-5733	120	53	r	r	NOUN
ejpam-5733	120	54	)	)	PUNCT
ejpam-5733	120	55	,	,	PUNCT
ejpam-5733	120	56	r	r	NOUN
ejpam-5733	120	57	)	)	PUNCT
ejpam-5733	120	58	and	and	CCONJ
ejpam-5733	120	59	fa	fa	PRON
ejpam-5733	120	60	⊑	⊑	X
ejpam-5733	120	61	cτ	cτ	PROPN
ejpam-5733	120	62	(	(	PUNCT
ejpam-5733	120	63	e	e	NOUN
ejpam-5733	120	64	,	,	PUNCT
ejpam-5733	120	65	iτ	iτ	X
ejpam-5733	120	66	(	(	PUNCT
ejpam-5733	120	67	e	e	NOUN
ejpam-5733	120	68	,	,	PUNCT
ejpam-5733	120	69	cτ	cτ	INTJ
ejpam-5733	120	70	(	(	PUNCT
ejpam-5733	120	71	e	e	NOUN
ejpam-5733	120	72	,	,	PUNCT
ejpam-5733	120	73	fa	fa	NOUN
ejpam-5733	120	74	,	,	PUNCT
ejpam-5733	120	75	r	r	NOUN
ejpam-5733	120	76	)	)	PUNCT
ejpam-5733	120	77	,	,	PUNCT
ejpam-5733	120	78	r	r	NOUN
ejpam-5733	120	79	)	)	PUNCT
ejpam-5733	120	80	,	,	PUNCT
ejpam-5733	120	81	r	r	NOUN
ejpam-5733	120	82	)	)	PUNCT
ejpam-5733	120	83	.	.	PUNCT
ejpam-5733	121	1	thus	thus	ADV
ejpam-5733	121	2	,	,	PUNCT
ejpam-5733	121	3	fa	fa	PROPN
ejpam-5733	121	4	⊑	⊑	X
ejpam-5733	121	5	cτ	cτ	PROPN
ejpam-5733	121	6	(	(	PUNCT
ejpam-5733	121	7	e	e	NOUN
ejpam-5733	121	8	,	,	PUNCT
ejpam-5733	121	9	iτ	iτ	X
ejpam-5733	121	10	(	(	PUNCT
ejpam-5733	121	11	e	e	NOUN
ejpam-5733	121	12	,	,	PUNCT
ejpam-5733	121	13	cτ	cτ	INTJ
ejpam-5733	121	14	(	(	PUNCT
ejpam-5733	121	15	e	e	NOUN
ejpam-5733	121	16	,	,	PUNCT
ejpam-5733	121	17	fa	fa	NOUN
ejpam-5733	121	18	,	,	PUNCT
ejpam-5733	121	19	r	r	NOUN
ejpam-5733	121	20	)	)	PUNCT
ejpam-5733	121	21	,	,	PUNCT
ejpam-5733	121	22	r	r	NOUN
ejpam-5733	121	23	)	)	PUNCT
ejpam-5733	121	24	,	,	PUNCT
ejpam-5733	121	25	r	r	X
ejpam-5733	121	26	)	)	PUNCT
ejpam-5733	121	27	⊑	⊑	PROPN
ejpam-5733	121	28	cτ	cτ	VERB
ejpam-5733	121	29	(	(	PUNCT
ejpam-5733	121	30	e	e	NOUN
ejpam-5733	121	31	,	,	PUNCT
ejpam-5733	121	32	cτ	cτ	INTJ
ejpam-5733	121	33	(	(	PUNCT
ejpam-5733	121	34	e	e	NOUN
ejpam-5733	121	35	,	,	PUNCT
ejpam-5733	121	36	iτ	iτ	X
ejpam-5733	121	37	(	(	PUNCT
ejpam-5733	121	38	e	e	NOUN
ejpam-5733	121	39	,	,	PUNCT
ejpam-5733	121	40	fa	fa	NOUN
ejpam-5733	121	41	,	,	PUNCT
ejpam-5733	121	42	r	r	NOUN
ejpam-5733	121	43	)	)	PUNCT
ejpam-5733	121	44	,	,	PUNCT
ejpam-5733	121	45	r	r	NOUN
ejpam-5733	121	46	)	)	PUNCT
ejpam-5733	121	47	,	,	PUNCT
ejpam-5733	121	48	r	r	NOUN
ejpam-5733	121	49	)	)	PUNCT
ejpam-5733	121	50	=	=	NOUN
ejpam-5733	121	51	cτ	cτ	INTJ
ejpam-5733	121	52	(	(	PUNCT
ejpam-5733	121	53	e	e	NOUN
ejpam-5733	121	54	,	,	PUNCT
ejpam-5733	121	55	iτ	iτ	X
ejpam-5733	121	56	(	(	PUNCT
ejpam-5733	121	57	e	e	NOUN
ejpam-5733	121	58	,	,	PUNCT
ejpam-5733	121	59	fa	fa	NOUN
ejpam-5733	121	60	,	,	PUNCT
ejpam-5733	121	61	r	r	NOUN
ejpam-5733	121	62	)	)	PUNCT
ejpam-5733	121	63	,	,	PUNCT
ejpam-5733	121	64	r	r	NOUN
ejpam-5733	121	65	)	)	PUNCT
ejpam-5733	121	66	.	.	PUNCT
ejpam-5733	122	1	this	this	PRON
ejpam-5733	122	2	shows	show	VERB
ejpam-5733	122	3	that	that	SCONJ
ejpam-5733	122	4	fa	fa	PROPN
ejpam-5733	122	5	is	be	AUX
ejpam-5733	122	6	r	r	NOUN
ejpam-5733	122	7	-	-	PUNCT
ejpam-5733	122	8	fuzzy	fuzzy	ADJ
ejpam-5733	122	9	soft	soft	ADJ
ejpam-5733	122	10	semi	semi	ADJ
ejpam-5733	122	11	-	-	ADJ
ejpam-5733	122	12	open	open	ADJ
ejpam-5733	122	13	.	.	PUNCT
ejpam-5733	123	1	proposition	proposition	NOUN
ejpam-5733	123	2	2	2	NUM
ejpam-5733	123	3	.	.	PUNCT
ejpam-5733	124	1	let	let	VERB
ejpam-5733	124	2	(	(	PUNCT
ejpam-5733	124	3	u	u	NOUN
ejpam-5733	124	4	,	,	PUNCT
ejpam-5733	124	5	τe	τe	PRON
ejpam-5733	124	6	)	)	PUNCT
ejpam-5733	124	7	be	be	VERB
ejpam-5733	124	8	an	an	DET
ejpam-5733	124	9	fsts	fst	NOUN
ejpam-5733	124	10	,	,	PUNCT
ejpam-5733	124	11	fa	fa	X
ejpam-5733	124	12	∈	∈	PROPN
ejpam-5733	124	13	(	(	PUNCT
ejpam-5733	124	14	̃u	̃u	PROPN
ejpam-5733	124	15	,	,	PUNCT
ejpam-5733	124	16	e	e	NOUN
ejpam-5733	124	17	)	)	PUNCT
ejpam-5733	124	18	,	,	PUNCT
ejpam-5733	124	19	e	e	PROPN
ejpam-5733	124	20	∈	∈	PROPN
ejpam-5733	124	21	e	e	NOUN
ejpam-5733	124	22	,	,	PUNCT
ejpam-5733	124	23	and	and	CCONJ
ejpam-5733	124	24	r	r	NOUN
ejpam-5733	124	25	∈	∈	PROPN
ejpam-5733	124	26	i0	i0	PROPN
ejpam-5733	124	27	.	.	PUNCT
ejpam-5733	125	1	the	the	DET
ejpam-5733	125	2	following	follow	VERB
ejpam-5733	125	3	statements	statement	NOUN
ejpam-5733	125	4	are	be	AUX
ejpam-5733	125	5	equivalent	equivalent	ADJ
ejpam-5733	125	6	:	:	PUNCT
ejpam-5733	125	7	(	(	PUNCT
ejpam-5733	125	8	i	i	NOUN
ejpam-5733	125	9	)	)	PUNCT
ejpam-5733	125	10	fa	fa	PROPN
ejpam-5733	125	11	is	be	AUX
ejpam-5733	125	12	an	an	DET
ejpam-5733	125	13	r	r	NOUN
ejpam-5733	125	14	-	-	PUNCT
ejpam-5733	125	15	fuzzy	fuzzy	ADJ
ejpam-5733	125	16	soft	soft	ADJ
ejpam-5733	125	17	α	α	NOUN
ejpam-5733	125	18	-	-	NOUN
ejpam-5733	125	19	open	open	ADJ
ejpam-5733	125	20	.	.	PUNCT
ejpam-5733	126	1	(	(	PUNCT
ejpam-5733	126	2	ii	ii	NOUN
ejpam-5733	126	3	)	)	PUNCT
ejpam-5733	126	4	fa	fa	PROPN
ejpam-5733	126	5	is	be	AUX
ejpam-5733	126	6	an	an	DET
ejpam-5733	126	7	r	r	NOUN
ejpam-5733	126	8	-	-	PUNCT
ejpam-5733	126	9	fuzzy	fuzzy	ADJ
ejpam-5733	126	10	soft	soft	ADJ
ejpam-5733	126	11	δ	δ	NOUN
ejpam-5733	126	12	-	-	ADJ
ejpam-5733	126	13	open	open	ADJ
ejpam-5733	126	14	and	and	CCONJ
ejpam-5733	126	15	r	r	NOUN
ejpam-5733	126	16	-	-	PUNCT
ejpam-5733	126	17	fuzzy	fuzzy	ADJ
ejpam-5733	126	18	soft	soft	ADJ
ejpam-5733	126	19	pre	pre	ADJ
ejpam-5733	126	20	-	-	ADJ
ejpam-5733	126	21	open	open	ADJ
ejpam-5733	126	22	.	.	PUNCT
ejpam-5733	127	1	proof	proof	NOUN
ejpam-5733	127	2	.	.	PUNCT
ejpam-5733	128	1	(	(	PUNCT
ejpam-5733	128	2	i	i	NOUN
ejpam-5733	128	3	)	)	PUNCT
ejpam-5733	128	4	⇒	⇒	PROPN
ejpam-5733	128	5	(	(	PUNCT
ejpam-5733	128	6	ii	ii	PROPN
ejpam-5733	128	7	)	)	PUNCT
ejpam-5733	128	8	from	from	ADP
ejpam-5733	128	9	proposition	proposition	NOUN
ejpam-5733	128	10	1	1	NUM
ejpam-5733	128	11	the	the	DET
ejpam-5733	128	12	proof	proof	NOUN
ejpam-5733	128	13	is	be	AUX
ejpam-5733	128	14	straightforward	straightforward	ADJ
ejpam-5733	128	15	.	.	PUNCT
ejpam-5733	129	1	(	(	PUNCT
ejpam-5733	129	2	ii	ii	NOUN
ejpam-5733	129	3	)	)	PUNCT
ejpam-5733	129	4	⇒	⇒	NOUN
ejpam-5733	129	5	(	(	PUNCT
ejpam-5733	129	6	i	i	NOUN
ejpam-5733	129	7	)	)	PUNCT
ejpam-5733	129	8	let	let	VERB
ejpam-5733	129	9	fa	fa	PART
ejpam-5733	129	10	be	be	AUX
ejpam-5733	129	11	an	an	DET
ejpam-5733	129	12	r	r	NOUN
ejpam-5733	129	13	-	-	PUNCT
ejpam-5733	129	14	fuzzy	fuzzy	ADJ
ejpam-5733	129	15	soft	soft	ADJ
ejpam-5733	129	16	pre	pre	ADJ
ejpam-5733	129	17	-	-	ADJ
ejpam-5733	129	18	open	open	ADJ
ejpam-5733	129	19	and	and	CCONJ
ejpam-5733	129	20	r	r	NOUN
ejpam-5733	129	21	-	-	PUNCT
ejpam-5733	129	22	fuzzy	fuzzy	ADJ
ejpam-5733	129	23	soft	soft	ADJ
ejpam-5733	129	24	δ	δ	NOUN
ejpam-5733	129	25	-	-	NOUN
ejpam-5733	129	26	open	open	ADJ
ejpam-5733	129	27	.	.	PUNCT
ejpam-5733	130	1	then	then	ADV
ejpam-5733	130	2	,	,	PUNCT
ejpam-5733	130	3	fa	fa	PROPN
ejpam-5733	130	4	⊑	⊑	X
ejpam-5733	130	5	iτ	iτ	X
ejpam-5733	130	6	(	(	PUNCT
ejpam-5733	130	7	e	e	NOUN
ejpam-5733	130	8	,	,	PUNCT
ejpam-5733	130	9	cτ	cτ	INTJ
ejpam-5733	130	10	(	(	PUNCT
ejpam-5733	130	11	e	e	NOUN
ejpam-5733	130	12	,	,	PUNCT
ejpam-5733	130	13	fa	fa	NOUN
ejpam-5733	130	14	,	,	PUNCT
ejpam-5733	130	15	r	r	NOUN
ejpam-5733	130	16	)	)	PUNCT
ejpam-5733	130	17	,	,	PUNCT
ejpam-5733	130	18	r	r	X
ejpam-5733	130	19	)	)	PUNCT
ejpam-5733	130	20	⊑	⊑	X
ejpam-5733	130	21	iτ	iτ	X
ejpam-5733	130	22	(	(	PUNCT
ejpam-5733	130	23	e	e	NOUN
ejpam-5733	130	24	,	,	PUNCT
ejpam-5733	130	25	cτ	cτ	INTJ
ejpam-5733	130	26	(	(	PUNCT
ejpam-5733	130	27	e	e	NOUN
ejpam-5733	130	28	,	,	PUNCT
ejpam-5733	130	29	iτ	iτ	X
ejpam-5733	130	30	(	(	PUNCT
ejpam-5733	130	31	e	e	NOUN
ejpam-5733	130	32	,	,	PUNCT
ejpam-5733	130	33	fa	fa	NOUN
ejpam-5733	130	34	,	,	PUNCT
ejpam-5733	130	35	r	r	NOUN
ejpam-5733	130	36	)	)	PUNCT
ejpam-5733	130	37	,	,	PUNCT
ejpam-5733	130	38	r	r	NOUN
ejpam-5733	130	39	)	)	PUNCT
ejpam-5733	130	40	,	,	PUNCT
ejpam-5733	130	41	r	r	NOUN
ejpam-5733	130	42	)	)	PUNCT
ejpam-5733	130	43	.	.	PUNCT
ejpam-5733	131	1	this	this	PRON
ejpam-5733	131	2	shows	show	VERB
ejpam-5733	131	3	that	that	SCONJ
ejpam-5733	131	4	fa	fa	PROPN
ejpam-5733	131	5	is	be	AUX
ejpam-5733	131	6	r	r	NOUN
ejpam-5733	131	7	-	-	PUNCT
ejpam-5733	131	8	fuzzy	fuzzy	ADJ
ejpam-5733	131	9	soft	soft	ADJ
ejpam-5733	131	10	αopen	αopen	NOUN
ejpam-5733	131	11	.	.	PUNCT
ejpam-5733	132	1	remark	remark	NOUN
ejpam-5733	132	2	3	3	NUM
ejpam-5733	132	3	.	.	PUNCT
ejpam-5733	133	1	from	from	ADP
ejpam-5733	133	2	the	the	DET
ejpam-5733	133	3	previous	previous	ADJ
ejpam-5733	133	4	definitions	definition	NOUN
ejpam-5733	133	5	and	and	CCONJ
ejpam-5733	133	6	results	result	NOUN
ejpam-5733	133	7	,	,	PUNCT
ejpam-5733	133	8	we	we	PRON
ejpam-5733	133	9	can	can	AUX
ejpam-5733	133	10	summarize	summarize	VERB
ejpam-5733	133	11	the	the	DET
ejpam-5733	133	12	relationships	relationship	NOUN
ejpam-5733	133	13	among	among	ADP
ejpam-5733	133	14	different	different	ADJ
ejpam-5733	133	15	types	type	NOUN
ejpam-5733	133	16	of	of	ADP
ejpam-5733	133	17	fuzzy	fuzzy	ADJ
ejpam-5733	133	18	soft	soft	ADJ
ejpam-5733	133	19	open	open	ADJ
ejpam-5733	133	20	sets	set	NOUN
ejpam-5733	133	21	as	as	ADP
ejpam-5733	133	22	in	in	ADP
ejpam-5733	133	23	the	the	DET
ejpam-5733	133	24	next	next	ADJ
ejpam-5733	133	25	diagram	diagram	NOUN
ejpam-5733	133	26	.	.	PUNCT
ejpam-5733	134	1	fuzzy	fuzzy	ADJ
ejpam-5733	134	2	soft	soft	ADJ
ejpam-5733	134	3	α	α	NOUN
ejpam-5733	134	4	-	-	ADJ
ejpam-5733	134	5	open	open	ADJ
ejpam-5733	134	6	set	set	VERB
ejpam-5733	134	7	↓	↓	NOUN
ejpam-5733	134	8	↓	↓	NOUN
ejpam-5733	134	9	fuzzy	fuzzy	PROPN
ejpam-5733	134	10	soft	soft	ADJ
ejpam-5733	134	11	pre	pre	ADJ
ejpam-5733	134	12	-	-	ADJ
ejpam-5733	134	13	open	open	ADJ
ejpam-5733	134	14	set	set	VERB
ejpam-5733	134	15	↮	↮	NOUN
ejpam-5733	134	16	fuzzy	fuzzy	ADJ
ejpam-5733	134	17	soft	soft	ADJ
ejpam-5733	134	18	semi	semi	ADJ
ejpam-5733	134	19	-	-	ADJ
ejpam-5733	134	20	open	open	ADJ
ejpam-5733	134	21	set	set	ADJ
ejpam-5733	134	22	→	→	SYM
ejpam-5733	134	23	fuzzy	fuzzy	ADJ
ejpam-5733	134	24	soft	soft	ADJ
ejpam-5733	134	25	δ	δ	NOUN
ejpam-5733	134	26	-	-	ADJ
ejpam-5733	134	27	open	open	ADJ
ejpam-5733	134	28	set	set	VERB
ejpam-5733	134	29	↓	↓	NOUN
ejpam-5733	134	30	↓	↓	NOUN
ejpam-5733	134	31	fuzzy	fuzzy	PROPN
ejpam-5733	134	32	soft	soft	ADJ
ejpam-5733	134	33	β	β	NOUN
ejpam-5733	134	34	-	-	ADJ
ejpam-5733	134	35	open	open	ADJ
ejpam-5733	134	36	set	set	VERB
ejpam-5733	134	37	remark	remark	NOUN
ejpam-5733	134	38	4	4	NUM
ejpam-5733	134	39	.	.	PUNCT
ejpam-5733	135	1	in	in	ADP
ejpam-5733	135	2	general	general	ADJ
ejpam-5733	135	3	,	,	PUNCT
ejpam-5733	135	4	the	the	DET
ejpam-5733	135	5	converses	converse	NOUN
ejpam-5733	135	6	of	of	ADP
ejpam-5733	135	7	the	the	DET
ejpam-5733	135	8	above	above	ADJ
ejpam-5733	135	9	relationships	relationship	NOUN
ejpam-5733	135	10	are	be	AUX
ejpam-5733	135	11	not	not	PART
ejpam-5733	135	12	true	true	ADJ
ejpam-5733	135	13	,	,	PUNCT
ejpam-5733	135	14	as	as	SCONJ
ejpam-5733	135	15	shown	show	VERB
ejpam-5733	135	16	by	by	ADP
ejpam-5733	135	17	examples	example	NOUN
ejpam-5733	135	18	2	2	NUM
ejpam-5733	135	19	,	,	PUNCT
ejpam-5733	135	20	3	3	NUM
ejpam-5733	135	21	,	,	PUNCT
ejpam-5733	135	22	4	4	NUM
ejpam-5733	135	23	,	,	PUNCT
ejpam-5733	135	24	5	5	NUM
ejpam-5733	135	25	,	,	PUNCT
ejpam-5733	135	26	and	and	CCONJ
ejpam-5733	135	27	6	6	NUM
ejpam-5733	135	28	.	.	NOUN
ejpam-5733	135	29	example	example	NOUN
ejpam-5733	136	1	4	4	X
ejpam-5733	136	2	.	.	PUNCT
ejpam-5733	137	1	let	let	VERB
ejpam-5733	137	2	u	u	PRON
ejpam-5733	137	3	=	=	NOUN
ejpam-5733	137	4	{	{	PUNCT
ejpam-5733	137	5	u1	u1	NOUN
ejpam-5733	137	6	,	,	PUNCT
ejpam-5733	137	7	u2	u2	PROPN
ejpam-5733	137	8	}	}	PUNCT
ejpam-5733	137	9	,	,	PUNCT
ejpam-5733	137	10	e	e	X
ejpam-5733	137	11	=	=	PUNCT
ejpam-5733	137	12	{	{	PUNCT
ejpam-5733	137	13	e	e	NOUN
ejpam-5733	137	14	,	,	PUNCT
ejpam-5733	137	15	k	k	NOUN
ejpam-5733	137	16	}	}	PUNCT
ejpam-5733	137	17	,	,	PUNCT
ejpam-5733	137	18	and	and	CCONJ
ejpam-5733	137	19	define	define	VERB
ejpam-5733	137	20	ge	ge	PROPN
ejpam-5733	137	21	,	,	PUNCT
ejpam-5733	137	22	fe	fe	X
ejpam-5733	137	23	,	,	PUNCT
ejpam-5733	137	24	he	he	PRON
ejpam-5733	137	25	∈	∈	PROPN
ejpam-5733	137	26	(	(	PUNCT
ejpam-5733	137	27	̃u	̃u	PROPN
ejpam-5733	137	28	,	,	PUNCT
ejpam-5733	137	29	e	e	NOUN
ejpam-5733	137	30	)	)	PUNCT
ejpam-5733	137	31	as	as	SCONJ
ejpam-5733	137	32	follows	follow	VERB
ejpam-5733	137	33	:	:	PUNCT
ejpam-5733	138	1	ge	ge	PROPN
ejpam-5733	138	2	=	=	PRON
ejpam-5733	138	3	{	{	PUNCT
ejpam-5733	138	4	(	(	PUNCT
ejpam-5733	138	5	e	e	NOUN
ejpam-5733	138	6	,	,	PUNCT
ejpam-5733	138	7	{	{	PUNCT
ejpam-5733	138	8	u10.3	u10.3	PROPN
ejpam-5733	138	9	,	,	PUNCT
ejpam-5733	138	10	u2	u2	PROPN
ejpam-5733	138	11	0.4	0.4	NUM
ejpam-5733	138	12	}	}	PUNCT
ejpam-5733	138	13	)	)	PUNCT
ejpam-5733	138	14	,	,	PUNCT
ejpam-5733	138	15	(	(	PUNCT
ejpam-5733	138	16	k	k	NOUN
ejpam-5733	138	17	,	,	PUNCT
ejpam-5733	138	18	{	{	PUNCT
ejpam-5733	138	19	u1	u1	PROPN
ejpam-5733	138	20	0.3	0.3	NUM
ejpam-5733	138	21	,	,	PUNCT
ejpam-5733	138	22	u2	u2	PROPN
ejpam-5733	138	23	0.4	0.4	NUM
ejpam-5733	138	24	}	}	PUNCT
ejpam-5733	138	25	)	)	PUNCT
ejpam-5733	138	26	}	}	PUNCT
ejpam-5733	138	27	,	,	PUNCT
ejpam-5733	138	28	fe	fe	X
ejpam-5733	138	29	=	=	PUNCT
ejpam-5733	138	30	{	{	PUNCT
ejpam-5733	138	31	(	(	PUNCT
ejpam-5733	138	32	e	e	NOUN
ejpam-5733	138	33	,	,	PUNCT
ejpam-5733	138	34	{	{	PUNCT
ejpam-5733	138	35	u10.6	u10.6	NUM
ejpam-5733	138	36	,	,	PUNCT
ejpam-5733	138	37	u2	u2	PROPN
ejpam-5733	138	38	0.2	0.2	NUM
ejpam-5733	138	39	}	}	PUNCT
ejpam-5733	138	40	)	)	PUNCT
ejpam-5733	138	41	,	,	PUNCT
ejpam-5733	138	42	(	(	PUNCT
ejpam-5733	138	43	k	k	NOUN
ejpam-5733	138	44	,	,	PUNCT
ejpam-5733	138	45	{	{	PUNCT
ejpam-5733	138	46	u1	u1	PROPN
ejpam-5733	138	47	0.6	0.6	NUM
ejpam-5733	138	48	,	,	PUNCT
ejpam-5733	138	49	u2	u2	PROPN
ejpam-5733	138	50	0.2	0.2	NUM
ejpam-5733	138	51	}	}	PUNCT
ejpam-5733	138	52	)	)	PUNCT
ejpam-5733	138	53	}	}	PUNCT
ejpam-5733	138	54	,	,	PUNCT
ejpam-5733	138	55	he	he	PRON
ejpam-5733	138	56	=	=	PUNCT
ejpam-5733	138	57	{	{	PUNCT
ejpam-5733	138	58	(	(	PUNCT
ejpam-5733	138	59	e	e	NOUN
ejpam-5733	138	60	,	,	PUNCT
ejpam-5733	138	61	{	{	PUNCT
ejpam-5733	138	62	u10.7	u10.7	PROPN
ejpam-5733	138	63	,	,	PUNCT
ejpam-5733	138	64	u2	u2	NOUN
ejpam-5733	138	65	0.5	0.5	NUM
ejpam-5733	138	66	}	}	PUNCT
ejpam-5733	138	67	)	)	PUNCT
ejpam-5733	138	68	,	,	PUNCT
ejpam-5733	138	69	(	(	PUNCT
ejpam-5733	138	70	k	k	NOUN
ejpam-5733	138	71	,	,	PUNCT
ejpam-5733	138	72	{	{	PUNCT
ejpam-5733	138	73	u1	u1	NOUN
ejpam-5733	138	74	0.7	0.7	NUM
ejpam-5733	138	75	,	,	PUNCT
ejpam-5733	138	76	u2	u2	PROPN
ejpam-5733	138	77	0.5	0.5	NUM
ejpam-5733	138	78	}	}	PUNCT
ejpam-5733	138	79	)	)	PUNCT
ejpam-5733	138	80	}	}	PUNCT
ejpam-5733	138	81	.	.	PUNCT
ejpam-5733	139	1	define	define	VERB
ejpam-5733	139	2	fuzzy	fuzzy	ADJ
ejpam-5733	139	3	soft	soft	ADJ
ejpam-5733	139	4	topology	topology	NOUN
ejpam-5733	139	5	τe	τe	NOUN
ejpam-5733	139	6	:	:	PUNCT
ejpam-5733	139	7	e	e	X
ejpam-5733	139	8	−→	−→	NOUN
ejpam-5733	139	9	[	[	X
ejpam-5733	139	10	0	0	NUM
ejpam-5733	139	11	,	,	PUNCT
ejpam-5733	139	12	1](̃u	1](̃u	NUM
ejpam-5733	139	13	,	,	PUNCT
ejpam-5733	139	14	e	e	NOUN
ejpam-5733	139	15	)	)	PUNCT
ejpam-5733	139	16	as	as	SCONJ
ejpam-5733	139	17	follows	follow	VERB
ejpam-5733	139	18	:	:	PUNCT
ejpam-5733	139	19	i.	i.	PROPN
ejpam-5733	139	20	alshammari	alshammari	PROPN
ejpam-5733	139	21	et	et	PROPN
ejpam-5733	139	22	al	al	PROPN
ejpam-5733	139	23	.	.	PUNCT
ejpam-5733	139	24	/	/	SYM
ejpam-5733	139	25	eur	eur	PROPN
ejpam-5733	139	26	.	.	PUNCT
ejpam-5733	140	1	j.	j.	PROPN
ejpam-5733	140	2	pure	pure	PROPN
ejpam-5733	140	3	appl	appl	PROPN
ejpam-5733	140	4	.	.	PROPN
ejpam-5733	140	5	math	math	PROPN
ejpam-5733	140	6	,	,	PUNCT
ejpam-5733	140	7	18	18	NUM
ejpam-5733	140	8	(	(	PUNCT
ejpam-5733	140	9	1	1	NUM
ejpam-5733	140	10	)	)	PUNCT
ejpam-5733	140	11	(	(	PUNCT
ejpam-5733	140	12	2025	2025	NUM
ejpam-5733	140	13	)	)	PUNCT
ejpam-5733	140	14	,	,	PUNCT
ejpam-5733	140	15	5733	5733	NUM
ejpam-5733	140	16	7	7	NUM
ejpam-5733	140	17	of	of	ADP
ejpam-5733	140	18	21	21	NUM
ejpam-5733	140	19	τe(me	τe(me	NOUN
ejpam-5733	140	20	)	)	PUNCT
ejpam-5733	141	1	=	=	PUNCT
ejpam-5733	141	2			NOUN
ejpam-5733	141	3	1	1	NUM
ejpam-5733	141	4	,	,	PUNCT
ejpam-5733	141	5	if	if	SCONJ
ejpam-5733	141	6	me	i	PRON
ejpam-5733	141	7	∈	∈	PROPN
ejpam-5733	141	8	{	{	PUNCT
ejpam-5733	141	9	φ	φ	NOUN
ejpam-5733	141	10	,	,	PUNCT
ejpam-5733	141	11	ẽ	ẽ	PROPN
ejpam-5733	141	12	}	}	PUNCT
ejpam-5733	141	13	,	,	PUNCT
ejpam-5733	141	14	1	1	NUM
ejpam-5733	141	15	2	2	NUM
ejpam-5733	141	16	,	,	PUNCT
ejpam-5733	141	17	if	if	SCONJ
ejpam-5733	141	18	me	i	PRON
ejpam-5733	141	19	=	=	PUNCT
ejpam-5733	141	20	ge	ge	PROPN
ejpam-5733	141	21	,	,	PUNCT
ejpam-5733	141	22	2	2	NUM
ejpam-5733	141	23	3	3	NUM
ejpam-5733	141	24	,	,	PUNCT
ejpam-5733	141	25	if	if	SCONJ
ejpam-5733	141	26	me	i	PRON
ejpam-5733	141	27	=	=	SYM
ejpam-5733	141	28	fe	fe	X
ejpam-5733	141	29	,	,	PUNCT
ejpam-5733	141	30	2	2	NUM
ejpam-5733	141	31	3	3	NUM
ejpam-5733	141	32	,	,	PUNCT
ejpam-5733	141	33	if	if	SCONJ
ejpam-5733	141	34	me	i	PRON
ejpam-5733	141	35	=	=	PUNCT
ejpam-5733	141	36	ge	ge	PROPN
ejpam-5733	141	37	⊓	⊓	PROPN
ejpam-5733	141	38	fe	fe	X
ejpam-5733	141	39	,	,	PUNCT
ejpam-5733	141	40	1	1	NUM
ejpam-5733	141	41	2	2	NUM
ejpam-5733	141	42	,	,	PUNCT
ejpam-5733	141	43	if	if	SCONJ
ejpam-5733	141	44	me	i	PRON
ejpam-5733	141	45	=	=	PUNCT
ejpam-5733	141	46	ge	ge	PROPN
ejpam-5733	141	47	⊔	⊔	PROPN
ejpam-5733	141	48	fe	fe	PROPN
ejpam-5733	141	49	,	,	PUNCT
ejpam-5733	141	50	0	0	NUM
ejpam-5733	141	51	,	,	PUNCT
ejpam-5733	141	52	otherwise	otherwise	ADV
ejpam-5733	141	53	,	,	PUNCT
ejpam-5733	141	54	τk(me	τk(me	NOUN
ejpam-5733	141	55	)	)	PUNCT
ejpam-5733	141	56	=	=	PUNCT
ejpam-5733	141	57			NUM
ejpam-5733	141	58	1	1	NUM
ejpam-5733	141	59	,	,	PUNCT
ejpam-5733	141	60	if	if	SCONJ
ejpam-5733	141	61	me	i	PRON
ejpam-5733	141	62	∈	∈	PROPN
ejpam-5733	141	63	{	{	PUNCT
ejpam-5733	141	64	φ	φ	NOUN
ejpam-5733	141	65	,	,	PUNCT
ejpam-5733	141	66	ẽ	ẽ	PROPN
ejpam-5733	141	67	}	}	PUNCT
ejpam-5733	141	68	,	,	PUNCT
ejpam-5733	141	69	1	1	NUM
ejpam-5733	141	70	3	3	NUM
ejpam-5733	141	71	,	,	PUNCT
ejpam-5733	141	72	if	if	SCONJ
ejpam-5733	141	73	me	i	PRON
ejpam-5733	141	74	=	=	PUNCT
ejpam-5733	141	75	ge	ge	PROPN
ejpam-5733	141	76	,	,	PUNCT
ejpam-5733	141	77	1	1	NUM
ejpam-5733	141	78	2	2	NUM
ejpam-5733	141	79	,	,	PUNCT
ejpam-5733	141	80	if	if	SCONJ
ejpam-5733	141	81	me	i	PRON
ejpam-5733	141	82	=	=	SYM
ejpam-5733	141	83	fe	fe	X
ejpam-5733	141	84	,	,	PUNCT
ejpam-5733	141	85	1	1	NUM
ejpam-5733	141	86	2	2	NUM
ejpam-5733	141	87	,	,	PUNCT
ejpam-5733	141	88	if	if	SCONJ
ejpam-5733	141	89	me	i	PRON
ejpam-5733	141	90	=	=	PUNCT
ejpam-5733	141	91	ge	ge	PROPN
ejpam-5733	141	92	⊓	⊓	PROPN
ejpam-5733	141	93	fe	fe	X
ejpam-5733	141	94	,	,	PUNCT
ejpam-5733	141	95	1	1	NUM
ejpam-5733	141	96	3	3	NUM
ejpam-5733	141	97	,	,	PUNCT
ejpam-5733	141	98	if	if	SCONJ
ejpam-5733	141	99	me	i	PRON
ejpam-5733	141	100	=	=	PUNCT
ejpam-5733	141	101	ge	ge	PROPN
ejpam-5733	141	102	⊔	⊔	PROPN
ejpam-5733	141	103	fe	fe	PROPN
ejpam-5733	141	104	,	,	PUNCT
ejpam-5733	141	105	0	0	NUM
ejpam-5733	141	106	,	,	PUNCT
ejpam-5733	141	107	otherwise	otherwise	ADV
ejpam-5733	141	108	.	.	PUNCT
ejpam-5733	142	1	thus	thus	ADV
ejpam-5733	142	2	,	,	PUNCT
ejpam-5733	142	3	he	he	PRON
ejpam-5733	142	4	is	be	AUX
ejpam-5733	142	5	1	1	NUM
ejpam-5733	142	6	3	3	NUM
ejpam-5733	142	7	-fuzzy	-fuzzy	NOUN
ejpam-5733	142	8	soft	soft	ADJ
ejpam-5733	142	9	semi	semi	ADJ
ejpam-5733	142	10	-	-	ADJ
ejpam-5733	142	11	open	open	ADJ
ejpam-5733	142	12	set	set	NOUN
ejpam-5733	142	13	,	,	PUNCT
ejpam-5733	142	14	but	but	CCONJ
ejpam-5733	142	15	it	it	PRON
ejpam-5733	142	16	is	be	AUX
ejpam-5733	142	17	neither	neither	CCONJ
ejpam-5733	142	18	1	1	NUM
ejpam-5733	142	19	3	3	NUM
ejpam-5733	142	20	-fuzzy	-fuzzy	NOUN
ejpam-5733	142	21	soft	soft	ADJ
ejpam-5733	142	22	α	α	NOUN
ejpam-5733	142	23	-	-	ADJ
ejpam-5733	142	24	open	open	ADJ
ejpam-5733	142	25	nor	nor	CCONJ
ejpam-5733	142	26	1	1	NUM
ejpam-5733	142	27	3	3	NUM
ejpam-5733	142	28	-fuzzy	-fuzzy	NOUN
ejpam-5733	142	29	soft	soft	ADJ
ejpam-5733	142	30	pre	pre	ADJ
ejpam-5733	142	31	-	-	ADJ
ejpam-5733	142	32	open	open	ADJ
ejpam-5733	142	33	.	.	PUNCT
ejpam-5733	142	34	example	example	NOUN
ejpam-5733	143	1	5	5	NUM
ejpam-5733	143	2	.	.	PUNCT
ejpam-5733	143	3	let	let	VERB
ejpam-5733	143	4	u	u	PRON
ejpam-5733	143	5	=	=	NOUN
ejpam-5733	143	6	{	{	PUNCT
ejpam-5733	143	7	u1	u1	NOUN
ejpam-5733	143	8	,	,	PUNCT
ejpam-5733	143	9	u2	u2	NOUN
ejpam-5733	143	10	,	,	PUNCT
ejpam-5733	143	11	u3	u3	NOUN
ejpam-5733	143	12	}	}	PUNCT
ejpam-5733	143	13	,	,	PUNCT
ejpam-5733	143	14	e	e	X
ejpam-5733	143	15	=	=	PUNCT
ejpam-5733	143	16	{	{	PUNCT
ejpam-5733	143	17	e	e	NOUN
ejpam-5733	143	18	,	,	PUNCT
ejpam-5733	143	19	k	k	NOUN
ejpam-5733	143	20	}	}	PUNCT
ejpam-5733	143	21	,	,	PUNCT
ejpam-5733	143	22	and	and	CCONJ
ejpam-5733	143	23	define	define	VERB
ejpam-5733	143	24	ge	ge	PROPN
ejpam-5733	143	25	,	,	PUNCT
ejpam-5733	143	26	fe	fe	X
ejpam-5733	143	27	∈	∈	PROPN
ejpam-5733	143	28	(	(	PUNCT
ejpam-5733	143	29	̃u	̃u	PROPN
ejpam-5733	143	30	,	,	PUNCT
ejpam-5733	143	31	e	e	NOUN
ejpam-5733	143	32	)	)	PUNCT
ejpam-5733	143	33	as	as	SCONJ
ejpam-5733	143	34	follows	follow	VERB
ejpam-5733	143	35	:	:	PUNCT
ejpam-5733	143	36	ge	ge	PROPN
ejpam-5733	143	37	=	=	PRON
ejpam-5733	143	38	{	{	PUNCT
ejpam-5733	143	39	(	(	PUNCT
ejpam-5733	143	40	e	e	NOUN
ejpam-5733	143	41	,	,	PUNCT
ejpam-5733	143	42	{	{	PUNCT
ejpam-5733	143	43	u10.2	u10.2	ADV
ejpam-5733	143	44	,	,	PUNCT
ejpam-5733	143	45	u2	u2	PROPN
ejpam-5733	143	46	0.3	0.3	NUM
ejpam-5733	143	47	,	,	PUNCT
ejpam-5733	143	48	u3	u3	NOUN
ejpam-5733	143	49	0.2	0.2	NUM
ejpam-5733	143	50	}	}	PUNCT
ejpam-5733	143	51	)	)	PUNCT
ejpam-5733	143	52	,	,	PUNCT
ejpam-5733	143	53	(	(	PUNCT
ejpam-5733	143	54	k	k	NOUN
ejpam-5733	143	55	,	,	PUNCT
ejpam-5733	143	56	{	{	PUNCT
ejpam-5733	143	57	u1	u1	PROPN
ejpam-5733	143	58	0.2	0.2	NUM
ejpam-5733	143	59	,	,	PUNCT
ejpam-5733	143	60	u2	u2	PROPN
ejpam-5733	143	61	0.3	0.3	NUM
ejpam-5733	143	62	,	,	PUNCT
ejpam-5733	143	63	u3	u3	NOUN
ejpam-5733	143	64	0.2	0.2	NUM
ejpam-5733	143	65	}	}	PUNCT
ejpam-5733	143	66	)	)	PUNCT
ejpam-5733	143	67	}	}	PUNCT
ejpam-5733	143	68	,	,	PUNCT
ejpam-5733	143	69	fe	fe	X
ejpam-5733	143	70	=	=	PUNCT
ejpam-5733	143	71	{	{	PUNCT
ejpam-5733	143	72	(	(	PUNCT
ejpam-5733	143	73	e	e	NOUN
ejpam-5733	143	74	,	,	PUNCT
ejpam-5733	143	75	{	{	PUNCT
ejpam-5733	143	76	u10.3	u10.3	PROPN
ejpam-5733	143	77	,	,	PUNCT
ejpam-5733	143	78	u2	u2	PROPN
ejpam-5733	143	79	0.4	0.4	NUM
ejpam-5733	143	80	,	,	PUNCT
ejpam-5733	143	81	u3	u3	NOUN
ejpam-5733	143	82	0.8	0.8	NUM
ejpam-5733	143	83	}	}	PUNCT
ejpam-5733	143	84	)	)	PUNCT
ejpam-5733	143	85	,	,	PUNCT
ejpam-5733	143	86	(	(	PUNCT
ejpam-5733	143	87	k	k	NOUN
ejpam-5733	143	88	,	,	PUNCT
ejpam-5733	143	89	{	{	PUNCT
ejpam-5733	143	90	u1	u1	PROPN
ejpam-5733	143	91	0.3	0.3	NUM
ejpam-5733	143	92	,	,	PUNCT
ejpam-5733	143	93	u2	u2	PROPN
ejpam-5733	143	94	0.4	0.4	NUM
ejpam-5733	143	95	,	,	PUNCT
ejpam-5733	143	96	u3	u3	NOUN
ejpam-5733	143	97	0.8	0.8	NUM
ejpam-5733	143	98	}	}	PUNCT
ejpam-5733	143	99	)	)	PUNCT
ejpam-5733	143	100	}	}	PUNCT
ejpam-5733	143	101	.	.	PUNCT
ejpam-5733	144	1	define	define	VERB
ejpam-5733	144	2	fuzzy	fuzzy	ADJ
ejpam-5733	144	3	soft	soft	ADJ
ejpam-5733	144	4	topology	topology	NOUN
ejpam-5733	144	5	τe	τe	NOUN
ejpam-5733	144	6	:	:	PUNCT
ejpam-5733	144	7	e	e	X
ejpam-5733	144	8	−→	−→	NOUN
ejpam-5733	144	9	[	[	X
ejpam-5733	144	10	0	0	NUM
ejpam-5733	144	11	,	,	PUNCT
ejpam-5733	144	12	1](̃u	1](̃u	NUM
ejpam-5733	144	13	,	,	PUNCT
ejpam-5733	144	14	e	e	NOUN
ejpam-5733	144	15	)	)	PUNCT
ejpam-5733	144	16	as	as	SCONJ
ejpam-5733	144	17	follows	follow	VERB
ejpam-5733	144	18	:	:	PUNCT
ejpam-5733	144	19	τe(me	τe(me	NOUN
ejpam-5733	144	20	)	)	PUNCT
ejpam-5733	145	1	=	=	PUNCT
ejpam-5733	145	2			NOUN
ejpam-5733	145	3	1	1	NUM
ejpam-5733	145	4	,	,	PUNCT
ejpam-5733	145	5	if	if	SCONJ
ejpam-5733	145	6	me	i	PRON
ejpam-5733	145	7	∈	∈	PROPN
ejpam-5733	145	8	{	{	PUNCT
ejpam-5733	145	9	φ	φ	NOUN
ejpam-5733	145	10	,	,	PUNCT
ejpam-5733	145	11	ẽ	ẽ	PROPN
ejpam-5733	145	12	}	}	PUNCT
ejpam-5733	145	13	,	,	PUNCT
ejpam-5733	145	14	1	1	NUM
ejpam-5733	145	15	2	2	NUM
ejpam-5733	145	16	,	,	PUNCT
ejpam-5733	145	17	if	if	SCONJ
ejpam-5733	145	18	me	i	PRON
ejpam-5733	145	19	=	=	PUNCT
ejpam-5733	145	20	ge	ge	PROPN
ejpam-5733	145	21	,	,	PUNCT
ejpam-5733	145	22	0	0	NUM
ejpam-5733	145	23	,	,	PUNCT
ejpam-5733	145	24	otherwise	otherwise	ADV
ejpam-5733	145	25	,	,	PUNCT
ejpam-5733	145	26	τk(me	τk(me	PROPN
ejpam-5733	145	27	)	)	PUNCT
ejpam-5733	145	28	=	=	PUNCT
ejpam-5733	146	1			NOUN
ejpam-5733	146	2	1	1	NUM
ejpam-5733	146	3	,	,	PUNCT
ejpam-5733	146	4	if	if	SCONJ
ejpam-5733	146	5	me	i	PRON
ejpam-5733	146	6	∈	∈	PROPN
ejpam-5733	146	7	{	{	PUNCT
ejpam-5733	146	8	φ	φ	NOUN
ejpam-5733	146	9	,	,	PUNCT
ejpam-5733	146	10	ẽ	ẽ	PROPN
ejpam-5733	146	11	}	}	PUNCT
ejpam-5733	146	12	,	,	PUNCT
ejpam-5733	146	13	1	1	NUM
ejpam-5733	146	14	3	3	NUM
ejpam-5733	146	15	,	,	PUNCT
ejpam-5733	146	16	if	if	SCONJ
ejpam-5733	146	17	me	i	PRON
ejpam-5733	146	18	=	=	PUNCT
ejpam-5733	146	19	ge	ge	PROPN
ejpam-5733	146	20	,	,	PUNCT
ejpam-5733	146	21	0	0	NUM
ejpam-5733	146	22	,	,	PUNCT
ejpam-5733	146	23	otherwise	otherwise	ADV
ejpam-5733	146	24	.	.	PUNCT
ejpam-5733	147	1	thus	thus	ADV
ejpam-5733	147	2	,	,	PUNCT
ejpam-5733	147	3	fe	fe	X
ejpam-5733	147	4	is	be	AUX
ejpam-5733	147	5	1	1	NUM
ejpam-5733	147	6	3	3	NUM
ejpam-5733	147	7	-fuzzy	-fuzzy	NOUN
ejpam-5733	147	8	soft	soft	ADJ
ejpam-5733	147	9	β	β	NOUN
ejpam-5733	147	10	-	-	ADJ
ejpam-5733	147	11	open	open	ADJ
ejpam-5733	147	12	set	set	NOUN
ejpam-5733	147	13	,	,	PUNCT
ejpam-5733	147	14	but	but	CCONJ
ejpam-5733	147	15	it	it	PRON
ejpam-5733	147	16	is	be	AUX
ejpam-5733	147	17	not	not	PART
ejpam-5733	147	18	1	1	NUM
ejpam-5733	147	19	3	3	NUM
ejpam-5733	147	20	-fuzzy	-fuzzy	NOUN
ejpam-5733	147	21	soft	soft	ADJ
ejpam-5733	147	22	pre	pre	ADJ
ejpam-5733	147	23	-	-	ADJ
ejpam-5733	147	24	open	open	ADJ
ejpam-5733	147	25	.	.	PUNCT
ejpam-5733	148	1	example	example	NOUN
ejpam-5733	149	1	6	6	NUM
ejpam-5733	149	2	.	.	PUNCT
ejpam-5733	149	3	let	let	VERB
ejpam-5733	149	4	u	u	PRON
ejpam-5733	149	5	=	=	NOUN
ejpam-5733	149	6	{	{	PUNCT
ejpam-5733	149	7	u1	u1	NOUN
ejpam-5733	149	8	,	,	PUNCT
ejpam-5733	149	9	u2	u2	PROPN
ejpam-5733	149	10	}	}	PUNCT
ejpam-5733	149	11	,	,	PUNCT
ejpam-5733	149	12	e	e	X
ejpam-5733	149	13	=	=	PUNCT
ejpam-5733	149	14	{	{	PUNCT
ejpam-5733	149	15	e	e	NOUN
ejpam-5733	149	16	,	,	PUNCT
ejpam-5733	149	17	k	k	NOUN
ejpam-5733	149	18	}	}	PUNCT
ejpam-5733	149	19	,	,	PUNCT
ejpam-5733	149	20	and	and	CCONJ
ejpam-5733	149	21	define	define	VERB
ejpam-5733	149	22	ge	ge	PROPN
ejpam-5733	149	23	,	,	PUNCT
ejpam-5733	149	24	fe	fe	X
ejpam-5733	149	25	∈	∈	PROPN
ejpam-5733	149	26	(	(	PUNCT
ejpam-5733	149	27	̃u	̃u	PROPN
ejpam-5733	149	28	,	,	PUNCT
ejpam-5733	149	29	e	e	NOUN
ejpam-5733	149	30	)	)	PUNCT
ejpam-5733	149	31	as	as	SCONJ
ejpam-5733	149	32	follows	follow	VERB
ejpam-5733	149	33	:	:	PUNCT
ejpam-5733	149	34	ge	ge	PROPN
ejpam-5733	149	35	=	=	PRON
ejpam-5733	149	36	{	{	PUNCT
ejpam-5733	149	37	(	(	PUNCT
ejpam-5733	149	38	e	e	NOUN
ejpam-5733	149	39	,	,	PUNCT
ejpam-5733	149	40	{	{	PUNCT
ejpam-5733	149	41	u10.4	u10.4	PROPN
ejpam-5733	149	42	,	,	PUNCT
ejpam-5733	149	43	u2	u2	NOUN
ejpam-5733	149	44	0.5	0.5	NUM
ejpam-5733	149	45	}	}	PUNCT
ejpam-5733	149	46	)	)	PUNCT
ejpam-5733	149	47	,	,	PUNCT
ejpam-5733	149	48	(	(	PUNCT
ejpam-5733	149	49	k	k	NOUN
ejpam-5733	149	50	,	,	PUNCT
ejpam-5733	149	51	{	{	PUNCT
ejpam-5733	149	52	u1	u1	NOUN
ejpam-5733	149	53	0.4	0.4	NUM
ejpam-5733	149	54	,	,	PUNCT
ejpam-5733	149	55	u2	u2	PROPN
ejpam-5733	149	56	0.5	0.5	NUM
ejpam-5733	149	57	}	}	PUNCT
ejpam-5733	149	58	)	)	PUNCT
ejpam-5733	149	59	}	}	PUNCT
ejpam-5733	149	60	,	,	PUNCT
ejpam-5733	149	61	fe	fe	X
ejpam-5733	149	62	=	=	PUNCT
ejpam-5733	149	63	{	{	PUNCT
ejpam-5733	149	64	(	(	PUNCT
ejpam-5733	149	65	e	e	NOUN
ejpam-5733	149	66	,	,	PUNCT
ejpam-5733	149	67	{	{	PUNCT
ejpam-5733	149	68	u10.3	u10.3	PROPN
ejpam-5733	149	69	,	,	PUNCT
ejpam-5733	149	70	u2	u2	PROPN
ejpam-5733	149	71	0.4	0.4	NUM
ejpam-5733	149	72	}	}	PUNCT
ejpam-5733	149	73	)	)	PUNCT
ejpam-5733	149	74	,	,	PUNCT
ejpam-5733	149	75	(	(	PUNCT
ejpam-5733	149	76	k	k	NOUN
ejpam-5733	149	77	,	,	PUNCT
ejpam-5733	149	78	{	{	PUNCT
ejpam-5733	149	79	u1	u1	PROPN
ejpam-5733	149	80	0.3	0.3	NUM
ejpam-5733	149	81	,	,	PUNCT
ejpam-5733	149	82	u2	u2	PROPN
ejpam-5733	149	83	0.4	0.4	NUM
ejpam-5733	149	84	}	}	PUNCT
ejpam-5733	149	85	)	)	PUNCT
ejpam-5733	149	86	}	}	PUNCT
ejpam-5733	149	87	.	.	PUNCT
ejpam-5733	150	1	define	define	VERB
ejpam-5733	150	2	fuzzy	fuzzy	ADJ
ejpam-5733	150	3	soft	soft	ADJ
ejpam-5733	150	4	topology	topology	NOUN
ejpam-5733	150	5	τe	τe	NOUN
ejpam-5733	150	6	:	:	PUNCT
ejpam-5733	150	7	e	e	X
ejpam-5733	150	8	−→	−→	NOUN
ejpam-5733	150	9	[	[	X
ejpam-5733	150	10	0	0	NUM
ejpam-5733	150	11	,	,	PUNCT
ejpam-5733	150	12	1](̃u	1](̃u	NUM
ejpam-5733	150	13	,	,	PUNCT
ejpam-5733	150	14	e	e	NOUN
ejpam-5733	150	15	)	)	PUNCT
ejpam-5733	150	16	as	as	SCONJ
ejpam-5733	150	17	follows	follow	VERB
ejpam-5733	150	18	:	:	PUNCT
ejpam-5733	150	19	τe(me	τe(me	NOUN
ejpam-5733	150	20	)	)	PUNCT
ejpam-5733	151	1	=	=	PUNCT
ejpam-5733	151	2			NOUN
ejpam-5733	151	3	1	1	NUM
ejpam-5733	151	4	,	,	PUNCT
ejpam-5733	151	5	if	if	SCONJ
ejpam-5733	151	6	me	i	PRON
ejpam-5733	151	7	∈	∈	PROPN
ejpam-5733	151	8	{	{	PUNCT
ejpam-5733	151	9	φ	φ	NOUN
ejpam-5733	151	10	,	,	PUNCT
ejpam-5733	151	11	ẽ	ẽ	PROPN
ejpam-5733	151	12	}	}	PUNCT
ejpam-5733	151	13	,	,	PUNCT
ejpam-5733	151	14	1	1	NUM
ejpam-5733	151	15	4	4	NUM
ejpam-5733	151	16	,	,	PUNCT
ejpam-5733	151	17	if	if	SCONJ
ejpam-5733	151	18	me	i	PRON
ejpam-5733	151	19	=	=	PUNCT
ejpam-5733	151	20	ge	ge	PROPN
ejpam-5733	151	21	,	,	PUNCT
ejpam-5733	151	22	0	0	NUM
ejpam-5733	151	23	,	,	PUNCT
ejpam-5733	151	24	otherwise	otherwise	ADV
ejpam-5733	151	25	,	,	PUNCT
ejpam-5733	151	26	τk(me	τk(me	PROPN
ejpam-5733	151	27	)	)	PUNCT
ejpam-5733	151	28	=	=	PUNCT
ejpam-5733	152	1			NOUN
ejpam-5733	152	2	1	1	NUM
ejpam-5733	152	3	,	,	PUNCT
ejpam-5733	152	4	if	if	SCONJ
ejpam-5733	152	5	me	i	PRON
ejpam-5733	152	6	∈	∈	PROPN
ejpam-5733	152	7	{	{	PUNCT
ejpam-5733	152	8	φ	φ	NOUN
ejpam-5733	152	9	,	,	PUNCT
ejpam-5733	152	10	ẽ	ẽ	PROPN
ejpam-5733	152	11	}	}	PUNCT
ejpam-5733	152	12	,	,	PUNCT
ejpam-5733	152	13	1	1	NUM
ejpam-5733	152	14	2	2	NUM
ejpam-5733	152	15	,	,	PUNCT
ejpam-5733	152	16	if	if	SCONJ
ejpam-5733	152	17	me	i	PRON
ejpam-5733	152	18	=	=	PUNCT
ejpam-5733	152	19	ge	ge	PROPN
ejpam-5733	152	20	,	,	PUNCT
ejpam-5733	152	21	0	0	NUM
ejpam-5733	152	22	,	,	PUNCT
ejpam-5733	152	23	otherwise	otherwise	ADV
ejpam-5733	152	24	.	.	PUNCT
ejpam-5733	153	1	thus	thus	ADV
ejpam-5733	153	2	,	,	PUNCT
ejpam-5733	153	3	fe	fe	X
ejpam-5733	153	4	is	be	AUX
ejpam-5733	153	5	1	1	NUM
ejpam-5733	153	6	4	4	NUM
ejpam-5733	153	7	-fuzzy	-fuzzy	NOUN
ejpam-5733	153	8	soft	soft	ADJ
ejpam-5733	153	9	pre	pre	ADJ
ejpam-5733	153	10	-	-	ADJ
ejpam-5733	153	11	open	open	ADJ
ejpam-5733	153	12	set	set	NOUN
ejpam-5733	153	13	,	,	PUNCT
ejpam-5733	153	14	but	but	CCONJ
ejpam-5733	153	15	it	it	PRON
ejpam-5733	153	16	is	be	AUX
ejpam-5733	153	17	neither	neither	CCONJ
ejpam-5733	153	18	1	1	NUM
ejpam-5733	153	19	4	4	NUM
ejpam-5733	153	20	-fuzzy	-fuzzy	NOUN
ejpam-5733	153	21	soft	soft	ADJ
ejpam-5733	153	22	α	α	NOUN
ejpam-5733	153	23	-	-	ADJ
ejpam-5733	153	24	open	open	ADJ
ejpam-5733	153	25	nor	nor	CCONJ
ejpam-5733	153	26	1	1	NUM
ejpam-5733	153	27	4	4	NUM
ejpam-5733	153	28	-fuzzy	-fuzzy	NOUN
ejpam-5733	153	29	soft	soft	ADJ
ejpam-5733	153	30	semi	semi	ADJ
ejpam-5733	153	31	-	-	ADJ
ejpam-5733	153	32	open	open	ADJ
ejpam-5733	153	33	.	.	PUNCT
ejpam-5733	154	1	theorem	theorem	NOUN
ejpam-5733	154	2	1	1	NUM
ejpam-5733	154	3	.	.	PUNCT
ejpam-5733	155	1	let	let	VERB
ejpam-5733	155	2	(	(	PUNCT
ejpam-5733	155	3	u	u	NOUN
ejpam-5733	155	4	,	,	PUNCT
ejpam-5733	155	5	τe	τe	PRON
ejpam-5733	155	6	)	)	PUNCT
ejpam-5733	155	7	be	be	VERB
ejpam-5733	155	8	an	an	DET
ejpam-5733	155	9	fsts	fst	NOUN
ejpam-5733	155	10	,	,	PUNCT
ejpam-5733	155	11	fa	fa	NOUN
ejpam-5733	155	12	,	,	PUNCT
ejpam-5733	155	13	gb	gb	NOUN
ejpam-5733	155	14	∈	∈	PROPN
ejpam-5733	155	15	(	(	PUNCT
ejpam-5733	155	16	̃u	̃u	PROPN
ejpam-5733	155	17	,	,	PUNCT
ejpam-5733	155	18	e	e	NOUN
ejpam-5733	155	19	)	)	PUNCT
ejpam-5733	155	20	,	,	PUNCT
ejpam-5733	155	21	e	e	PROPN
ejpam-5733	155	22	∈	∈	PROPN
ejpam-5733	155	23	e	e	NOUN
ejpam-5733	155	24	,	,	PUNCT
ejpam-5733	155	25	and	and	CCONJ
ejpam-5733	155	26	r	r	NOUN
ejpam-5733	155	27	∈	∈	PROPN
ejpam-5733	155	28	i0	i0	PROPN
ejpam-5733	155	29	.	.	PUNCT
ejpam-5733	156	1	if	if	SCONJ
ejpam-5733	156	2	fa	fa	PROPN
ejpam-5733	156	3	is	be	AUX
ejpam-5733	156	4	an	an	DET
ejpam-5733	156	5	r	r	NOUN
ejpam-5733	156	6	-	-	PUNCT
ejpam-5733	156	7	fuzzy	fuzzy	ADJ
ejpam-5733	156	8	soft	soft	ADJ
ejpam-5733	156	9	δ	δ	NOUN
ejpam-5733	156	10	-	-	ADJ
ejpam-5733	156	11	open	open	ADJ
ejpam-5733	156	12	set	set	VERB
ejpam-5733	156	13	such	such	ADJ
ejpam-5733	156	14	that	that	SCONJ
ejpam-5733	156	15	fa	fa	PROPN
ejpam-5733	156	16	⊑	⊑	X
ejpam-5733	156	17	gb	gb	ADP
ejpam-5733	156	18	⊑	⊑	X
ejpam-5733	156	19	cτ	cτ	INTJ
ejpam-5733	156	20	(	(	PUNCT
ejpam-5733	156	21	e	e	NOUN
ejpam-5733	156	22	,	,	PUNCT
ejpam-5733	156	23	fa	fa	NOUN
ejpam-5733	156	24	,	,	PUNCT
ejpam-5733	156	25	r	r	NOUN
ejpam-5733	156	26	)	)	PUNCT
ejpam-5733	156	27	,	,	PUNCT
ejpam-5733	156	28	then	then	ADV
ejpam-5733	156	29	gb	gb	PRON
ejpam-5733	156	30	is	be	AUX
ejpam-5733	156	31	also	also	ADV
ejpam-5733	156	32	r	r	NOUN
ejpam-5733	156	33	-	-	PUNCT
ejpam-5733	156	34	fuzzy	fuzzy	ADJ
ejpam-5733	156	35	soft	soft	ADJ
ejpam-5733	156	36	δ	δ	NOUN
ejpam-5733	156	37	-	-	ADJ
ejpam-5733	156	38	open	open	ADJ
ejpam-5733	156	39	.	.	PUNCT
ejpam-5733	157	1	proof	proof	NOUN
ejpam-5733	157	2	.	.	PUNCT
ejpam-5733	158	1	suppose	suppose	VERB
ejpam-5733	158	2	that	that	SCONJ
ejpam-5733	158	3	an	an	DET
ejpam-5733	158	4	fa	fa	NOUN
ejpam-5733	158	5	is	be	AUX
ejpam-5733	158	6	r	r	NOUN
ejpam-5733	158	7	-	-	PUNCT
ejpam-5733	158	8	fuzzy	fuzzy	ADJ
ejpam-5733	158	9	soft	soft	ADJ
ejpam-5733	158	10	δ	δ	NOUN
ejpam-5733	158	11	-	-	ADJ
ejpam-5733	158	12	open	open	ADJ
ejpam-5733	158	13	and	and	CCONJ
ejpam-5733	158	14	fa	fa	X
ejpam-5733	158	15	⊑	⊑	PRON
ejpam-5733	158	16	gb	gb	ADP
ejpam-5733	158	17	⊑	⊑	X
ejpam-5733	158	18	cτ	cτ	INTJ
ejpam-5733	158	19	(	(	PUNCT
ejpam-5733	158	20	e	e	NOUN
ejpam-5733	158	21	,	,	PUNCT
ejpam-5733	158	22	fa	fa	NOUN
ejpam-5733	158	23	,	,	PUNCT
ejpam-5733	158	24	r	r	NOUN
ejpam-5733	158	25	)	)	PUNCT
ejpam-5733	158	26	.	.	PUNCT
ejpam-5733	159	1	then	then	ADV
ejpam-5733	159	2	,	,	PUNCT
ejpam-5733	159	3	iτ	iτ	INTJ
ejpam-5733	159	4	(	(	PUNCT
ejpam-5733	159	5	e	e	NOUN
ejpam-5733	159	6	,	,	PUNCT
ejpam-5733	159	7	cτ	cτ	INTJ
ejpam-5733	159	8	(	(	PUNCT
ejpam-5733	159	9	e	e	NOUN
ejpam-5733	159	10	,	,	PUNCT
ejpam-5733	159	11	fa	fa	NOUN
ejpam-5733	159	12	,	,	PUNCT
ejpam-5733	159	13	r	r	NOUN
ejpam-5733	159	14	)	)	PUNCT
ejpam-5733	159	15	,	,	PUNCT
ejpam-5733	159	16	r	r	X
ejpam-5733	159	17	)	)	PUNCT
ejpam-5733	159	18	⊑	⊑	PROPN
ejpam-5733	159	19	cτ	cτ	VERB
ejpam-5733	159	20	(	(	PUNCT
ejpam-5733	159	21	e	e	NOUN
ejpam-5733	159	22	,	,	PUNCT
ejpam-5733	159	23	iτ	iτ	X
ejpam-5733	159	24	(	(	PUNCT
ejpam-5733	159	25	e	e	NOUN
ejpam-5733	159	26	,	,	PUNCT
ejpam-5733	159	27	fa	fa	NOUN
ejpam-5733	159	28	,	,	PUNCT
ejpam-5733	159	29	r	r	NOUN
ejpam-5733	159	30	)	)	PUNCT
ejpam-5733	159	31	,	,	PUNCT
ejpam-5733	159	32	r	r	X
ejpam-5733	159	33	)	)	PUNCT
ejpam-5733	159	34	⊑	⊑	PROPN
ejpam-5733	159	35	cτ	cτ	VERB
ejpam-5733	159	36	(	(	PUNCT
ejpam-5733	159	37	e	e	NOUN
ejpam-5733	159	38	,	,	PUNCT
ejpam-5733	159	39	iτ	iτ	X
ejpam-5733	159	40	(	(	PUNCT
ejpam-5733	159	41	e	e	NOUN
ejpam-5733	159	42	,	,	PUNCT
ejpam-5733	159	43	gb	gb	PRON
ejpam-5733	159	44	,	,	PUNCT
ejpam-5733	159	45	r	r	NOUN
ejpam-5733	159	46	)	)	PUNCT
ejpam-5733	159	47	,	,	PUNCT
ejpam-5733	159	48	r	r	NOUN
ejpam-5733	159	49	)	)	PUNCT
ejpam-5733	159	50	.	.	PUNCT
ejpam-5733	160	1	since	since	SCONJ
ejpam-5733	160	2	gb	gb	ADP
ejpam-5733	160	3	⊑	⊑	X
ejpam-5733	160	4	cτ	cτ	INTJ
ejpam-5733	160	5	(	(	PUNCT
ejpam-5733	160	6	e	e	NOUN
ejpam-5733	160	7	,	,	PUNCT
ejpam-5733	160	8	fa	fa	NOUN
ejpam-5733	160	9	,	,	PUNCT
ejpam-5733	160	10	r	r	NOUN
ejpam-5733	160	11	)	)	PUNCT
ejpam-5733	160	12	,	,	PUNCT
ejpam-5733	160	13	iτ	iτ	INTJ
ejpam-5733	160	14	(	(	PUNCT
ejpam-5733	160	15	e	e	NOUN
ejpam-5733	160	16	,	,	PUNCT
ejpam-5733	160	17	cτ	cτ	INTJ
ejpam-5733	160	18	(	(	PUNCT
ejpam-5733	160	19	e	e	NOUN
ejpam-5733	160	20	,	,	PUNCT
ejpam-5733	160	21	gb	gb	PRON
ejpam-5733	160	22	,	,	PUNCT
ejpam-5733	160	23	r	r	NOUN
ejpam-5733	160	24	)	)	PUNCT
ejpam-5733	160	25	,	,	PUNCT
ejpam-5733	160	26	r	r	X
ejpam-5733	160	27	)	)	PUNCT
ejpam-5733	160	28	⊑	⊑	X
ejpam-5733	160	29	iτ	iτ	X
ejpam-5733	160	30	(	(	PUNCT
ejpam-5733	160	31	e	e	NOUN
ejpam-5733	160	32	,	,	PUNCT
ejpam-5733	160	33	cτ	cτ	INTJ
ejpam-5733	160	34	(	(	PUNCT
ejpam-5733	160	35	e	e	NOUN
ejpam-5733	160	36	,	,	PUNCT
ejpam-5733	160	37	fa	fa	NOUN
ejpam-5733	160	38	,	,	PUNCT
ejpam-5733	160	39	r	r	NOUN
ejpam-5733	160	40	)	)	PUNCT
ejpam-5733	160	41	,	,	PUNCT
ejpam-5733	160	42	r	r	X
ejpam-5733	160	43	)	)	PUNCT
ejpam-5733	160	44	⊑	⊑	PROPN
ejpam-5733	160	45	cτ	cτ	VERB
ejpam-5733	160	46	(	(	PUNCT
ejpam-5733	160	47	e	e	NOUN
ejpam-5733	160	48	,	,	PUNCT
ejpam-5733	160	49	iτ	iτ	X
ejpam-5733	160	50	(	(	PUNCT
ejpam-5733	160	51	e	e	NOUN
ejpam-5733	160	52	,	,	PUNCT
ejpam-5733	160	53	gb	gb	PRON
ejpam-5733	160	54	,	,	PUNCT
ejpam-5733	160	55	r	r	NOUN
ejpam-5733	160	56	)	)	PUNCT
ejpam-5733	160	57	,	,	PUNCT
ejpam-5733	160	58	r	r	NOUN
ejpam-5733	160	59	)	)	PUNCT
ejpam-5733	160	60	.	.	PUNCT
ejpam-5733	161	1	this	this	PRON
ejpam-5733	161	2	shows	show	VERB
ejpam-5733	161	3	that	that	SCONJ
ejpam-5733	161	4	gb	gb	PRON
ejpam-5733	161	5	is	be	AUX
ejpam-5733	161	6	r	r	NOUN
ejpam-5733	161	7	-	-	PUNCT
ejpam-5733	161	8	fuzzy	fuzzy	ADJ
ejpam-5733	161	9	soft	soft	ADJ
ejpam-5733	161	10	δ	δ	NOUN
ejpam-5733	161	11	-	-	ADJ
ejpam-5733	161	12	open	open	ADJ
ejpam-5733	161	13	.	.	PUNCT
ejpam-5733	162	1	i.	i.	PROPN
ejpam-5733	162	2	alshammari	alshammari	PROPN
ejpam-5733	162	3	et	et	PROPN
ejpam-5733	162	4	al	al	PROPN
ejpam-5733	162	5	.	.	PUNCT
ejpam-5733	162	6	/	/	SYM
ejpam-5733	162	7	eur	eur	PROPN
ejpam-5733	162	8	.	.	PUNCT
ejpam-5733	163	1	j.	j.	PROPN
ejpam-5733	163	2	pure	pure	PROPN
ejpam-5733	163	3	appl	appl	PROPN
ejpam-5733	163	4	.	.	PROPN
ejpam-5733	163	5	math	math	PROPN
ejpam-5733	163	6	,	,	PUNCT
ejpam-5733	163	7	18	18	NUM
ejpam-5733	163	8	(	(	PUNCT
ejpam-5733	163	9	1	1	NUM
ejpam-5733	163	10	)	)	PUNCT
ejpam-5733	163	11	(	(	PUNCT
ejpam-5733	163	12	2025	2025	NUM
ejpam-5733	163	13	)	)	PUNCT
ejpam-5733	163	14	,	,	PUNCT
ejpam-5733	163	15	5733	5733	NUM
ejpam-5733	163	16	8	8	NUM
ejpam-5733	163	17	of	of	ADP
ejpam-5733	163	18	21	21	NUM
ejpam-5733	163	19	definition	definition	NOUN
ejpam-5733	163	20	9	9	NUM
ejpam-5733	163	21	.	.	PUNCT
ejpam-5733	164	1	in	in	ADP
ejpam-5733	164	2	an	an	DET
ejpam-5733	164	3	fsts	fst	NOUN
ejpam-5733	164	4	(	(	PUNCT
ejpam-5733	164	5	u	u	NOUN
ejpam-5733	164	6	,	,	PUNCT
ejpam-5733	164	7	τe	τe	NOUN
ejpam-5733	164	8	)	)	PUNCT
ejpam-5733	164	9	,	,	PUNCT
ejpam-5733	164	10	for	for	ADP
ejpam-5733	164	11	each	each	DET
ejpam-5733	164	12	fa	fa	X
ejpam-5733	164	13	∈	∈	PROPN
ejpam-5733	164	14	(	(	PUNCT
ejpam-5733	164	15	̃u	̃u	PROPN
ejpam-5733	164	16	,	,	PUNCT
ejpam-5733	164	17	e	e	NOUN
ejpam-5733	164	18	)	)	PUNCT
ejpam-5733	164	19	,	,	PUNCT
ejpam-5733	164	20	e	e	PROPN
ejpam-5733	164	21	∈	∈	PROPN
ejpam-5733	164	22	e	e	NOUN
ejpam-5733	164	23	,	,	PUNCT
ejpam-5733	164	24	and	and	CCONJ
ejpam-5733	164	25	r	r	NOUN
ejpam-5733	164	26	∈	∈	PROPN
ejpam-5733	164	27	i0	i0	PROPN
ejpam-5733	164	28	,	,	PUNCT
ejpam-5733	164	29	we	we	PRON
ejpam-5733	164	30	define	define	VERB
ejpam-5733	164	31	a	a	DET
ejpam-5733	164	32	fuzzy	fuzzy	ADJ
ejpam-5733	164	33	soft	soft	ADJ
ejpam-5733	164	34	δ	δ	NOUN
ejpam-5733	164	35	-	-	PUNCT
ejpam-5733	164	36	closure	closure	NOUN
ejpam-5733	164	37	operator	operator	NOUN
ejpam-5733	164	38	δcτ	δcτ	NOUN
ejpam-5733	164	39	:	:	PUNCT
ejpam-5733	164	40	e	e	X
ejpam-5733	164	41	×	×	NOUN
ejpam-5733	164	42	(	(	PUNCT
ejpam-5733	164	43	̃u	̃u	PROPN
ejpam-5733	164	44	,	,	PUNCT
ejpam-5733	164	45	e	e	NOUN
ejpam-5733	164	46	)	)	PUNCT
ejpam-5733	164	47	×	×	PROPN
ejpam-5733	164	48	i	i	PROPN
ejpam-5733	164	49	◦	◦	NOUN
ejpam-5733	164	50	→	→	PUNCT
ejpam-5733	164	51	(	(	PUNCT
ejpam-5733	164	52	̃u	̃u	PROPN
ejpam-5733	164	53	,	,	PUNCT
ejpam-5733	164	54	e	e	NOUN
ejpam-5733	164	55	)	)	PUNCT
ejpam-5733	164	56	as	as	SCONJ
ejpam-5733	164	57	follows	follow	VERB
ejpam-5733	164	58	:	:	PUNCT
ejpam-5733	164	59	δcτ	δcτ	NOUN
ejpam-5733	164	60	(	(	PUNCT
ejpam-5733	164	61	e	e	NOUN
ejpam-5733	164	62	,	,	PUNCT
ejpam-5733	164	63	fa	fa	NOUN
ejpam-5733	164	64	,	,	PUNCT
ejpam-5733	164	65	r	r	NOUN
ejpam-5733	164	66	)	)	PUNCT
ejpam-5733	164	67	=	=	SYM
ejpam-5733	164	68	⊓	⊓	NOUN
ejpam-5733	164	69	{	{	PUNCT
ejpam-5733	164	70	gb	gb	NOUN
ejpam-5733	164	71	∈	∈	PROPN
ejpam-5733	164	72	(	(	PUNCT
ejpam-5733	164	73	̃u	̃u	PROPN
ejpam-5733	164	74	,	,	PUNCT
ejpam-5733	164	75	e	e	NOUN
ejpam-5733	164	76	)	)	PUNCT
ejpam-5733	164	77	:	:	PUNCT
ejpam-5733	164	78	fa	fa	X
ejpam-5733	164	79	⊑	⊑	X
ejpam-5733	164	80	gb	gb	PROPN
ejpam-5733	164	81	,	,	PUNCT
ejpam-5733	164	82	gb	gb	PROPN
ejpam-5733	164	83	is	be	AUX
ejpam-5733	164	84	r	r	NOUN
ejpam-5733	164	85	-	-	PUNCT
ejpam-5733	164	86	fuzzy	fuzzy	ADJ
ejpam-5733	164	87	soft	soft	ADJ
ejpam-5733	164	88	δ	δ	NOUN
ejpam-5733	164	89	-	-	PUNCT
ejpam-5733	164	90	closed	closed	ADJ
ejpam-5733	164	91	}	}	PUNCT
ejpam-5733	164	92	.	.	PUNCT
ejpam-5733	165	1	theorem	theorem	NOUN
ejpam-5733	165	2	2	2	NUM
ejpam-5733	165	3	.	.	PUNCT
ejpam-5733	165	4	in	in	ADP
ejpam-5733	165	5	an	an	DET
ejpam-5733	165	6	fsts	fst	NOUN
ejpam-5733	165	7	(	(	PUNCT
ejpam-5733	165	8	u	u	NOUN
ejpam-5733	165	9	,	,	PUNCT
ejpam-5733	165	10	τe	τe	NOUN
ejpam-5733	165	11	)	)	PUNCT
ejpam-5733	165	12	,	,	PUNCT
ejpam-5733	165	13	for	for	ADP
ejpam-5733	165	14	each	each	DET
ejpam-5733	165	15	fa	fa	NOUN
ejpam-5733	165	16	,	,	PUNCT
ejpam-5733	165	17	gb	gb	NOUN
ejpam-5733	165	18	∈	∈	PROPN
ejpam-5733	165	19	(	(	PUNCT
ejpam-5733	165	20	̃u	̃u	PROPN
ejpam-5733	165	21	,	,	PUNCT
ejpam-5733	165	22	e	e	NOUN
ejpam-5733	165	23	)	)	PUNCT
ejpam-5733	165	24	,	,	PUNCT
ejpam-5733	165	25	e	e	PROPN
ejpam-5733	165	26	∈	∈	PROPN
ejpam-5733	165	27	e	e	NOUN
ejpam-5733	165	28	,	,	PUNCT
ejpam-5733	165	29	and	and	CCONJ
ejpam-5733	165	30	r	r	NOUN
ejpam-5733	165	31	∈	∈	PROPN
ejpam-5733	165	32	i0	i0	PROPN
ejpam-5733	165	33	,	,	PUNCT
ejpam-5733	165	34	the	the	DET
ejpam-5733	165	35	operator	operator	NOUN
ejpam-5733	165	36	δcτ	δcτ	NOUN
ejpam-5733	165	37	:	:	PUNCT
ejpam-5733	165	38	e	e	X
ejpam-5733	165	39	×	×	NOUN
ejpam-5733	165	40	(	(	PUNCT
ejpam-5733	165	41	̃u	̃u	PROPN
ejpam-5733	165	42	,	,	PUNCT
ejpam-5733	165	43	e)×	e)×	NOUN
ejpam-5733	165	44	i	i	PRON
ejpam-5733	165	45	◦	◦	NOUN
ejpam-5733	165	46	→	→	PUNCT
ejpam-5733	165	47	(	(	PUNCT
ejpam-5733	165	48	̃u	̃u	PROPN
ejpam-5733	165	49	,	,	PUNCT
ejpam-5733	165	50	e	e	NOUN
ejpam-5733	165	51	)	)	PUNCT
ejpam-5733	165	52	satisfies	satisfy	VERB
ejpam-5733	165	53	the	the	DET
ejpam-5733	165	54	following	follow	VERB
ejpam-5733	165	55	properties	property	NOUN
ejpam-5733	165	56	.	.	PUNCT
ejpam-5733	166	1	(	(	PUNCT
ejpam-5733	166	2	1	1	X
ejpam-5733	166	3	)	)	PUNCT
ejpam-5733	166	4	δcτ	δcτ	NOUN
ejpam-5733	166	5	(	(	PUNCT
ejpam-5733	166	6	e	e	NOUN
ejpam-5733	166	7	,	,	PUNCT
ejpam-5733	166	8	φ	φ	NOUN
ejpam-5733	166	9	,	,	PUNCT
ejpam-5733	166	10	r	r	NOUN
ejpam-5733	166	11	)	)	PUNCT
ejpam-5733	166	12	=	=	SYM
ejpam-5733	167	1	φ	φ	PROPN
ejpam-5733	167	2	.	.	PUNCT
ejpam-5733	168	1	(	(	PUNCT
ejpam-5733	168	2	2	2	X
ejpam-5733	168	3	)	)	PUNCT
ejpam-5733	168	4	fa	fa	PROPN
ejpam-5733	168	5	⊑	⊑	DET
ejpam-5733	168	6	δcτ	δcτ	PROPN
ejpam-5733	168	7	(	(	PUNCT
ejpam-5733	168	8	e	e	NOUN
ejpam-5733	168	9	,	,	PUNCT
ejpam-5733	168	10	fa	fa	NOUN
ejpam-5733	168	11	,	,	PUNCT
ejpam-5733	168	12	r	r	NOUN
ejpam-5733	168	13	)	)	PUNCT
ejpam-5733	169	1	⊑	⊑	PROPN
ejpam-5733	169	2	cτ	cτ	VERB
ejpam-5733	169	3	(	(	PUNCT
ejpam-5733	169	4	e	e	NOUN
ejpam-5733	169	5	,	,	PUNCT
ejpam-5733	169	6	fa	fa	NOUN
ejpam-5733	169	7	,	,	PUNCT
ejpam-5733	169	8	r	r	NOUN
ejpam-5733	169	9	)	)	PUNCT
ejpam-5733	169	10	.	.	PUNCT
ejpam-5733	170	1	(	(	PUNCT
ejpam-5733	170	2	3	3	X
ejpam-5733	170	3	)	)	PUNCT
ejpam-5733	170	4	δcτ	δcτ	NOUN
ejpam-5733	170	5	(	(	PUNCT
ejpam-5733	170	6	e	e	NOUN
ejpam-5733	170	7	,	,	PUNCT
ejpam-5733	170	8	fa	fa	NOUN
ejpam-5733	170	9	,	,	PUNCT
ejpam-5733	170	10	r	r	NOUN
ejpam-5733	170	11	)	)	PUNCT
ejpam-5733	170	12	⊑	⊑	PRON
ejpam-5733	170	13	δcτ	δcτ	NOUN
ejpam-5733	170	14	(	(	PUNCT
ejpam-5733	170	15	e	e	NOUN
ejpam-5733	170	16	,	,	PUNCT
ejpam-5733	170	17	gb	gb	PRON
ejpam-5733	170	18	,	,	PUNCT
ejpam-5733	170	19	r	r	NOUN
ejpam-5733	170	20	)	)	PUNCT
ejpam-5733	170	21	if	if	SCONJ
ejpam-5733	170	22	fa	fa	PROPN
ejpam-5733	170	23	⊑	⊑	X
ejpam-5733	170	24	gb	gb	PROPN
ejpam-5733	170	25	.	.	PUNCT
ejpam-5733	171	1	(	(	PUNCT
ejpam-5733	171	2	4	4	X
ejpam-5733	171	3	)	)	PUNCT
ejpam-5733	171	4	δcτ	δcτ	NOUN
ejpam-5733	171	5	(	(	PUNCT
ejpam-5733	171	6	e	e	NOUN
ejpam-5733	171	7	,	,	PUNCT
ejpam-5733	171	8	δcτ	δcτ	NOUN
ejpam-5733	171	9	(	(	PUNCT
ejpam-5733	171	10	e	e	NOUN
ejpam-5733	171	11	,	,	PUNCT
ejpam-5733	171	12	fa	fa	NOUN
ejpam-5733	171	13	,	,	PUNCT
ejpam-5733	171	14	r	r	NOUN
ejpam-5733	171	15	)	)	PUNCT
ejpam-5733	171	16	,	,	PUNCT
ejpam-5733	171	17	r	r	NOUN
ejpam-5733	171	18	)	)	PUNCT
ejpam-5733	171	19	=	=	SYM
ejpam-5733	171	20	δcτ	δcτ	NOUN
ejpam-5733	171	21	(	(	PUNCT
ejpam-5733	171	22	e	e	NOUN
ejpam-5733	171	23	,	,	PUNCT
ejpam-5733	171	24	fa	fa	NOUN
ejpam-5733	171	25	,	,	PUNCT
ejpam-5733	171	26	r	r	NOUN
ejpam-5733	171	27	)	)	PUNCT
ejpam-5733	171	28	.	.	PUNCT
ejpam-5733	172	1	(	(	PUNCT
ejpam-5733	172	2	5	5	X
ejpam-5733	172	3	)	)	PUNCT
ejpam-5733	172	4	δcτ	δcτ	NOUN
ejpam-5733	172	5	(	(	PUNCT
ejpam-5733	172	6	e	e	NOUN
ejpam-5733	172	7	,	,	PUNCT
ejpam-5733	172	8	fa	fa	X
ejpam-5733	172	9	⊔	⊔	X
ejpam-5733	172	10	gb	gb	PROPN
ejpam-5733	172	11	,	,	PUNCT
ejpam-5733	172	12	r	r	NOUN
ejpam-5733	172	13	)	)	PUNCT
ejpam-5733	172	14	⊒	⊒	PROPN
ejpam-5733	172	15	δcτ	δcτ	NOUN
ejpam-5733	172	16	(	(	PUNCT
ejpam-5733	172	17	e	e	NOUN
ejpam-5733	172	18	,	,	PUNCT
ejpam-5733	172	19	fa	fa	NOUN
ejpam-5733	172	20	,	,	PUNCT
ejpam-5733	172	21	r	r	NOUN
ejpam-5733	172	22	)	)	PUNCT
ejpam-5733	172	23	⊔	⊔	NOUN
ejpam-5733	172	24	δcτ	δcτ	NOUN
ejpam-5733	172	25	(	(	PUNCT
ejpam-5733	172	26	e	e	NOUN
ejpam-5733	172	27	,	,	PUNCT
ejpam-5733	172	28	gb	gb	PRON
ejpam-5733	172	29	,	,	PUNCT
ejpam-5733	172	30	r	r	NOUN
ejpam-5733	172	31	)	)	PUNCT
ejpam-5733	172	32	.	.	PUNCT
ejpam-5733	173	1	(	(	PUNCT
ejpam-5733	173	2	6	6	X
ejpam-5733	173	3	)	)	PUNCT
ejpam-5733	173	4	δcτ	δcτ	NOUN
ejpam-5733	173	5	(	(	PUNCT
ejpam-5733	173	6	e	e	NOUN
ejpam-5733	173	7	,	,	PUNCT
ejpam-5733	173	8	fa	fa	NOUN
ejpam-5733	173	9	,	,	PUNCT
ejpam-5733	173	10	r	r	NOUN
ejpam-5733	173	11	)	)	PUNCT
ejpam-5733	173	12	=	=	SYM
ejpam-5733	173	13	fa	fa	X
ejpam-5733	173	14	iff	iff	PROPN
ejpam-5733	173	15	fa	fa	PROPN
ejpam-5733	173	16	is	be	AUX
ejpam-5733	173	17	r	r	NOUN
ejpam-5733	173	18	-	-	PUNCT
ejpam-5733	173	19	fuzzy	fuzzy	ADJ
ejpam-5733	173	20	soft	soft	ADJ
ejpam-5733	173	21	δ	δ	NOUN
ejpam-5733	173	22	-	-	PUNCT
ejpam-5733	173	23	closed	closed	ADJ
ejpam-5733	173	24	.	.	PUNCT
ejpam-5733	174	1	(	(	PUNCT
ejpam-5733	174	2	7	7	X
ejpam-5733	174	3	)	)	PUNCT
ejpam-5733	174	4	δcτ	δcτ	NOUN
ejpam-5733	174	5	(	(	PUNCT
ejpam-5733	174	6	e	e	NOUN
ejpam-5733	174	7	,	,	PUNCT
ejpam-5733	174	8	cτ	cτ	INTJ
ejpam-5733	174	9	(	(	PUNCT
ejpam-5733	174	10	e	e	NOUN
ejpam-5733	174	11	,	,	PUNCT
ejpam-5733	174	12	fa	fa	NOUN
ejpam-5733	174	13	,	,	PUNCT
ejpam-5733	174	14	r	r	NOUN
ejpam-5733	174	15	)	)	PUNCT
ejpam-5733	174	16	,	,	PUNCT
ejpam-5733	174	17	r	r	NOUN
ejpam-5733	174	18	)	)	PUNCT
ejpam-5733	174	19	=	=	NOUN
ejpam-5733	174	20	cτ	cτ	INTJ
ejpam-5733	174	21	(	(	PUNCT
ejpam-5733	174	22	e	e	NOUN
ejpam-5733	174	23	,	,	PUNCT
ejpam-5733	174	24	fa	fa	NOUN
ejpam-5733	174	25	,	,	PUNCT
ejpam-5733	174	26	r	r	NOUN
ejpam-5733	174	27	)	)	PUNCT
ejpam-5733	174	28	.	.	PUNCT
ejpam-5733	175	1	proof	proof	NOUN
ejpam-5733	175	2	.	.	PUNCT
ejpam-5733	176	1	(	(	PUNCT
ejpam-5733	176	2	1	1	NUM
ejpam-5733	176	3	)	)	PUNCT
ejpam-5733	176	4	,	,	PUNCT
ejpam-5733	176	5	(	(	PUNCT
ejpam-5733	176	6	2	2	NUM
ejpam-5733	176	7	)	)	PUNCT
ejpam-5733	176	8	,	,	PUNCT
ejpam-5733	176	9	(	(	PUNCT
ejpam-5733	176	10	3	3	NUM
ejpam-5733	176	11	)	)	PUNCT
ejpam-5733	176	12	,	,	PUNCT
ejpam-5733	176	13	and	and	CCONJ
ejpam-5733	176	14	(	(	PUNCT
ejpam-5733	176	15	6	6	NUM
ejpam-5733	176	16	)	)	PUNCT
ejpam-5733	176	17	are	be	AUX
ejpam-5733	176	18	easily	easily	ADV
ejpam-5733	176	19	proved	prove	VERB
ejpam-5733	176	20	from	from	ADP
ejpam-5733	176	21	definition	definition	NOUN
ejpam-5733	176	22	9	9	NUM
ejpam-5733	176	23	.	.	PUNCT
ejpam-5733	177	1	(	(	PUNCT
ejpam-5733	177	2	4	4	NUM
ejpam-5733	177	3	)	)	PUNCT
ejpam-5733	177	4	from	from	ADP
ejpam-5733	177	5	(	(	PUNCT
ejpam-5733	177	6	2	2	NUM
ejpam-5733	177	7	)	)	PUNCT
ejpam-5733	177	8	and	and	CCONJ
ejpam-5733	177	9	(	(	PUNCT
ejpam-5733	177	10	3	3	NUM
ejpam-5733	177	11	)	)	PUNCT
ejpam-5733	177	12	,	,	PUNCT
ejpam-5733	177	13	δcτ	δcτ	NOUN
ejpam-5733	177	14	(	(	PUNCT
ejpam-5733	177	15	e	e	NOUN
ejpam-5733	177	16	,	,	PUNCT
ejpam-5733	177	17	fa	fa	NOUN
ejpam-5733	177	18	,	,	PUNCT
ejpam-5733	177	19	r	r	NOUN
ejpam-5733	177	20	)	)	PUNCT
ejpam-5733	177	21	⊑	⊑	PRON
ejpam-5733	177	22	δcτ	δcτ	NOUN
ejpam-5733	177	23	(	(	PUNCT
ejpam-5733	177	24	e	e	NOUN
ejpam-5733	177	25	,	,	PUNCT
ejpam-5733	177	26	δcτ	δcτ	NOUN
ejpam-5733	177	27	(	(	PUNCT
ejpam-5733	177	28	e	e	NOUN
ejpam-5733	177	29	,	,	PUNCT
ejpam-5733	177	30	fa	fa	NOUN
ejpam-5733	177	31	,	,	PUNCT
ejpam-5733	177	32	r	r	NOUN
ejpam-5733	177	33	)	)	PUNCT
ejpam-5733	177	34	,	,	PUNCT
ejpam-5733	177	35	r	r	NOUN
ejpam-5733	177	36	)	)	PUNCT
ejpam-5733	177	37	.	.	PUNCT
ejpam-5733	178	1	now	now	ADV
ejpam-5733	178	2	,	,	PUNCT
ejpam-5733	178	3	we	we	PRON
ejpam-5733	178	4	show	show	VERB
ejpam-5733	178	5	that	that	DET
ejpam-5733	178	6	δcτ	δcτ	NOUN
ejpam-5733	178	7	(	(	PUNCT
ejpam-5733	178	8	e	e	NOUN
ejpam-5733	178	9	,	,	PUNCT
ejpam-5733	178	10	fa	fa	NOUN
ejpam-5733	178	11	,	,	PUNCT
ejpam-5733	178	12	r	r	NOUN
ejpam-5733	178	13	)	)	PUNCT
ejpam-5733	178	14	⊒	⊒	PROPN
ejpam-5733	178	15	δcτ	δcτ	NOUN
ejpam-5733	178	16	(	(	PUNCT
ejpam-5733	178	17	e	e	NOUN
ejpam-5733	178	18	,	,	PUNCT
ejpam-5733	178	19	δcτ	δcτ	NOUN
ejpam-5733	178	20	(	(	PUNCT
ejpam-5733	178	21	e	e	NOUN
ejpam-5733	178	22	,	,	PUNCT
ejpam-5733	178	23	fa	fa	NOUN
ejpam-5733	178	24	,	,	PUNCT
ejpam-5733	178	25	r	r	NOUN
ejpam-5733	178	26	)	)	PUNCT
ejpam-5733	178	27	,	,	PUNCT
ejpam-5733	178	28	r	r	NOUN
ejpam-5733	178	29	)	)	PUNCT
ejpam-5733	178	30	.	.	PUNCT
ejpam-5733	179	1	suppose	suppose	VERB
ejpam-5733	179	2	that	that	SCONJ
ejpam-5733	179	3	δcτ	δcτ	NOUN
ejpam-5733	179	4	(	(	PUNCT
ejpam-5733	179	5	e	e	NOUN
ejpam-5733	179	6	,	,	PUNCT
ejpam-5733	179	7	fa	fa	NOUN
ejpam-5733	179	8	,	,	PUNCT
ejpam-5733	179	9	r	r	NOUN
ejpam-5733	179	10	)	)	PUNCT
ejpam-5733	179	11	does	do	AUX
ejpam-5733	179	12	not	not	PART
ejpam-5733	179	13	contain	contain	VERB
ejpam-5733	179	14	δcτ	δcτ	NOUN
ejpam-5733	179	15	(	(	PUNCT
ejpam-5733	179	16	e	e	NOUN
ejpam-5733	179	17	,	,	PUNCT
ejpam-5733	179	18	δcτ	δcτ	NOUN
ejpam-5733	179	19	(	(	PUNCT
ejpam-5733	179	20	e	e	NOUN
ejpam-5733	179	21	,	,	PUNCT
ejpam-5733	179	22	fa	fa	NOUN
ejpam-5733	179	23	,	,	PUNCT
ejpam-5733	179	24	r	r	NOUN
ejpam-5733	179	25	)	)	PUNCT
ejpam-5733	179	26	,	,	PUNCT
ejpam-5733	179	27	r	r	NOUN
ejpam-5733	179	28	)	)	PUNCT
ejpam-5733	179	29	,	,	PUNCT
ejpam-5733	179	30	then	then	ADV
ejpam-5733	179	31	there	there	PRON
ejpam-5733	179	32	is	be	VERB
ejpam-5733	179	33	u	u	PROPN
ejpam-5733	179	34	∈	∈	PROPN
ejpam-5733	179	35	u	u	NOUN
ejpam-5733	179	36	and	and	CCONJ
ejpam-5733	179	37	t	t	PROPN
ejpam-5733	179	38	∈	∈	PROPN
ejpam-5733	179	39	(	(	PUNCT
ejpam-5733	179	40	0	0	NUM
ejpam-5733	179	41	,	,	PUNCT
ejpam-5733	179	42	1	1	NUM
ejpam-5733	179	43	)	)	PUNCT
ejpam-5733	179	44	such	such	ADJ
ejpam-5733	179	45	that	that	DET
ejpam-5733	179	46	δcτ	δcτ	NOUN
ejpam-5733	179	47	(	(	PUNCT
ejpam-5733	179	48	e	e	NOUN
ejpam-5733	179	49	,	,	PUNCT
ejpam-5733	179	50	fa	fa	NOUN
ejpam-5733	179	51	,	,	PUNCT
ejpam-5733	179	52	r)(e)(u	r)(e)(u	PROPN
ejpam-5733	179	53	)	)	PUNCT
ejpam-5733	179	54	<	<	X
ejpam-5733	179	55	t	t	X
ejpam-5733	179	56	<	<	X
ejpam-5733	179	57	δcτ	δcτ	PROPN
ejpam-5733	179	58	(	(	PUNCT
ejpam-5733	179	59	e	e	NOUN
ejpam-5733	179	60	,	,	PUNCT
ejpam-5733	179	61	δcτ	δcτ	NOUN
ejpam-5733	179	62	(	(	PUNCT
ejpam-5733	179	63	e	e	NOUN
ejpam-5733	179	64	,	,	PUNCT
ejpam-5733	179	65	fa	fa	NOUN
ejpam-5733	179	66	,	,	PUNCT
ejpam-5733	179	67	r	r	NOUN
ejpam-5733	179	68	)	)	PUNCT
ejpam-5733	179	69	,	,	PUNCT
ejpam-5733	179	70	r)(e)(u	r)(e)(u	PROPN
ejpam-5733	179	71	)	)	PUNCT
ejpam-5733	179	72	.	.	PUNCT
ejpam-5733	180	1	(	(	PUNCT
ejpam-5733	180	2	a	a	X
ejpam-5733	180	3	)	)	PUNCT
ejpam-5733	180	4	since	since	SCONJ
ejpam-5733	180	5	δcτ	δcτ	NOUN
ejpam-5733	180	6	(	(	PUNCT
ejpam-5733	180	7	e	e	NOUN
ejpam-5733	180	8	,	,	PUNCT
ejpam-5733	180	9	fa	fa	NOUN
ejpam-5733	180	10	,	,	PUNCT
ejpam-5733	180	11	r)(e)(u	r)(e)(u	PROPN
ejpam-5733	180	12	)	)	PUNCT
ejpam-5733	180	13	<	<	X
ejpam-5733	180	14	t	t	PROPN
ejpam-5733	180	15	,	,	PUNCT
ejpam-5733	180	16	by	by	ADP
ejpam-5733	180	17	the	the	DET
ejpam-5733	180	18	definition	definition	NOUN
ejpam-5733	180	19	of	of	ADP
ejpam-5733	180	20	δcτ	δcτ	NOUN
ejpam-5733	180	21	,	,	PUNCT
ejpam-5733	180	22	there	there	PRON
ejpam-5733	180	23	is	be	VERB
ejpam-5733	180	24	gb	gb	ADP
ejpam-5733	180	25	as	as	ADP
ejpam-5733	180	26	a	a	DET
ejpam-5733	180	27	r	r	NOUN
ejpam-5733	180	28	-	-	PUNCT
ejpam-5733	180	29	fuzzy	fuzzy	ADJ
ejpam-5733	180	30	soft	soft	ADJ
ejpam-5733	180	31	δ	δ	NOUN
ejpam-5733	180	32	-	-	PUNCT
ejpam-5733	180	33	closed	close	VERB
ejpam-5733	180	34	with	with	ADP
ejpam-5733	180	35	fa	fa	PROPN
ejpam-5733	180	36	⊑	⊑	PRON
ejpam-5733	180	37	gb	gb	ADP
ejpam-5733	180	38	such	such	ADJ
ejpam-5733	180	39	that	that	DET
ejpam-5733	180	40	δcτ	δcτ	NOUN
ejpam-5733	180	41	(	(	PUNCT
ejpam-5733	180	42	e	e	NOUN
ejpam-5733	180	43	,	,	PUNCT
ejpam-5733	180	44	fa	fa	NOUN
ejpam-5733	180	45	,	,	PUNCT
ejpam-5733	180	46	r)(e)(u	r)(e)(u	PROPN
ejpam-5733	180	47	)	)	PUNCT
ejpam-5733	180	48	≤	≤	NOUN
ejpam-5733	180	49	gb(e)(u	gb(e)(u	NOUN
ejpam-5733	180	50	)	)	PUNCT
ejpam-5733	180	51	<	<	X
ejpam-5733	180	52	t.	t.	PROPN
ejpam-5733	180	53	since	since	SCONJ
ejpam-5733	180	54	fa	fa	PROPN
ejpam-5733	180	55	⊑	⊑	PRON
ejpam-5733	180	56	gb	gb	PROPN
ejpam-5733	180	57	,	,	PUNCT
ejpam-5733	180	58	then	then	ADV
ejpam-5733	180	59	δcτ	δcτ	NOUN
ejpam-5733	180	60	(	(	PUNCT
ejpam-5733	180	61	e	e	NOUN
ejpam-5733	180	62	,	,	PUNCT
ejpam-5733	180	63	fa	fa	NOUN
ejpam-5733	180	64	,	,	PUNCT
ejpam-5733	180	65	r	r	NOUN
ejpam-5733	180	66	)	)	PUNCT
ejpam-5733	180	67	⊑	⊑	PRON
ejpam-5733	180	68	gb	gb	PROPN
ejpam-5733	180	69	.	.	PUNCT
ejpam-5733	180	70	again	again	ADV
ejpam-5733	180	71	,	,	PUNCT
ejpam-5733	180	72	by	by	ADP
ejpam-5733	180	73	the	the	DET
ejpam-5733	180	74	definition	definition	NOUN
ejpam-5733	180	75	of	of	ADP
ejpam-5733	180	76	δcτ	δcτ	NOUN
ejpam-5733	180	77	,	,	PUNCT
ejpam-5733	180	78	we	we	PRON
ejpam-5733	180	79	have	have	VERB
ejpam-5733	180	80	δcτ	δcτ	NOUN
ejpam-5733	180	81	(	(	PUNCT
ejpam-5733	180	82	e	e	NOUN
ejpam-5733	180	83	,	,	PUNCT
ejpam-5733	180	84	δcτ	δcτ	NOUN
ejpam-5733	180	85	(	(	PUNCT
ejpam-5733	180	86	e	e	NOUN
ejpam-5733	180	87	,	,	PUNCT
ejpam-5733	180	88	fa	fa	NOUN
ejpam-5733	180	89	,	,	PUNCT
ejpam-5733	180	90	r	r	NOUN
ejpam-5733	180	91	)	)	PUNCT
ejpam-5733	180	92	,	,	PUNCT
ejpam-5733	180	93	r	r	X
ejpam-5733	180	94	)	)	PUNCT
ejpam-5733	180	95	⊑	⊑	PRON
ejpam-5733	180	96	gb	gb	PROPN
ejpam-5733	180	97	.	.	PUNCT
ejpam-5733	181	1	hence	hence	ADV
ejpam-5733	181	2	,	,	PUNCT
ejpam-5733	181	3	δcτ	δcτ	NOUN
ejpam-5733	181	4	(	(	PUNCT
ejpam-5733	181	5	e	e	NOUN
ejpam-5733	181	6	,	,	PUNCT
ejpam-5733	181	7	δcτ	δcτ	NOUN
ejpam-5733	181	8	(	(	PUNCT
ejpam-5733	181	9	e	e	NOUN
ejpam-5733	181	10	,	,	PUNCT
ejpam-5733	181	11	fa	fa	NOUN
ejpam-5733	181	12	,	,	PUNCT
ejpam-5733	181	13	r	r	NOUN
ejpam-5733	181	14	)	)	PUNCT
ejpam-5733	181	15	,	,	PUNCT
ejpam-5733	181	16	r)(e)(u	r)(e)(u	PROPN
ejpam-5733	181	17	)	)	PUNCT
ejpam-5733	181	18	≤	≤	NOUN
ejpam-5733	181	19	gb(e)(u	gb(e)(u	NOUN
ejpam-5733	181	20	)	)	PUNCT
ejpam-5733	181	21	<	<	X
ejpam-5733	181	22	t	t	PROPN
ejpam-5733	181	23	,	,	PUNCT
ejpam-5733	181	24	which	which	PRON
ejpam-5733	181	25	is	be	AUX
ejpam-5733	181	26	a	a	DET
ejpam-5733	181	27	contradiction	contradiction	NOUN
ejpam-5733	181	28	for	for	ADP
ejpam-5733	181	29	(	(	PUNCT
ejpam-5733	181	30	a	a	NOUN
ejpam-5733	181	31	)	)	PUNCT
ejpam-5733	181	32	.	.	PUNCT
ejpam-5733	182	1	thus	thus	ADV
ejpam-5733	182	2	,	,	PUNCT
ejpam-5733	182	3	δcτ	δcτ	NOUN
ejpam-5733	182	4	(	(	PUNCT
ejpam-5733	182	5	e	e	NOUN
ejpam-5733	182	6	,	,	PUNCT
ejpam-5733	182	7	fa	fa	NOUN
ejpam-5733	182	8	,	,	PUNCT
ejpam-5733	182	9	r	r	NOUN
ejpam-5733	182	10	)	)	PUNCT
ejpam-5733	182	11	⊒	⊒	PROPN
ejpam-5733	182	12	δcτ	δcτ	NOUN
ejpam-5733	182	13	(	(	PUNCT
ejpam-5733	182	14	e	e	NOUN
ejpam-5733	182	15	,	,	PUNCT
ejpam-5733	182	16	δcτ	δcτ	NOUN
ejpam-5733	182	17	(	(	PUNCT
ejpam-5733	182	18	e	e	NOUN
ejpam-5733	182	19	,	,	PUNCT
ejpam-5733	182	20	fa	fa	NOUN
ejpam-5733	182	21	,	,	PUNCT
ejpam-5733	182	22	r	r	NOUN
ejpam-5733	182	23	)	)	PUNCT
ejpam-5733	182	24	,	,	PUNCT
ejpam-5733	182	25	r	r	NOUN
ejpam-5733	182	26	)	)	PUNCT
ejpam-5733	182	27	,	,	PUNCT
ejpam-5733	182	28	then	then	ADV
ejpam-5733	182	29	δcτ	δcτ	NOUN
ejpam-5733	182	30	(	(	PUNCT
ejpam-5733	182	31	e	e	NOUN
ejpam-5733	182	32	,	,	PUNCT
ejpam-5733	182	33	δcτ	δcτ	NOUN
ejpam-5733	182	34	(	(	PUNCT
ejpam-5733	182	35	e	e	NOUN
ejpam-5733	182	36	,	,	PUNCT
ejpam-5733	182	37	fa	fa	NOUN
ejpam-5733	182	38	,	,	PUNCT
ejpam-5733	182	39	r	r	NOUN
ejpam-5733	182	40	)	)	PUNCT
ejpam-5733	182	41	,	,	PUNCT
ejpam-5733	182	42	r	r	NOUN
ejpam-5733	182	43	)	)	PUNCT
ejpam-5733	182	44	=	=	SYM
ejpam-5733	182	45	δcτ	δcτ	NOUN
ejpam-5733	182	46	(	(	PUNCT
ejpam-5733	182	47	e	e	NOUN
ejpam-5733	182	48	,	,	PUNCT
ejpam-5733	182	49	fa	fa	NOUN
ejpam-5733	182	50	,	,	PUNCT
ejpam-5733	182	51	r	r	NOUN
ejpam-5733	182	52	)	)	PUNCT
ejpam-5733	182	53	.	.	PUNCT
ejpam-5733	183	1	(	(	PUNCT
ejpam-5733	183	2	5	5	X
ejpam-5733	183	3	)	)	PUNCT
ejpam-5733	183	4	since	since	SCONJ
ejpam-5733	183	5	fa	fa	INTJ
ejpam-5733	183	6	and	and	CCONJ
ejpam-5733	183	7	gb	gb	PRON
ejpam-5733	183	8	⊑	⊑	X
ejpam-5733	183	9	fa	fa	PROPN
ejpam-5733	183	10	⊔	⊔	NUM
ejpam-5733	183	11	gb	gb	PROPN
ejpam-5733	183	12	,	,	PUNCT
ejpam-5733	183	13	hence	hence	ADV
ejpam-5733	183	14	by	by	ADP
ejpam-5733	183	15	(	(	PUNCT
ejpam-5733	183	16	3	3	NUM
ejpam-5733	183	17	)	)	PUNCT
ejpam-5733	183	18	,	,	PUNCT
ejpam-5733	183	19	δcτ	δcτ	NOUN
ejpam-5733	183	20	(	(	PUNCT
ejpam-5733	183	21	e	e	NOUN
ejpam-5733	183	22	,	,	PUNCT
ejpam-5733	183	23	fa	fa	NOUN
ejpam-5733	183	24	,	,	PUNCT
ejpam-5733	183	25	r	r	NOUN
ejpam-5733	183	26	)	)	PUNCT
ejpam-5733	183	27	⊑	⊑	PRON
ejpam-5733	183	28	δcτ	δcτ	NOUN
ejpam-5733	183	29	(	(	PUNCT
ejpam-5733	183	30	e	e	NOUN
ejpam-5733	183	31	,	,	PUNCT
ejpam-5733	183	32	fa	fa	X
ejpam-5733	183	33	⊔	⊔	X
ejpam-5733	183	34	gb	gb	PROPN
ejpam-5733	183	35	,	,	PUNCT
ejpam-5733	183	36	r	r	NOUN
ejpam-5733	183	37	)	)	PUNCT
ejpam-5733	183	38	and	and	CCONJ
ejpam-5733	183	39	δcτ	δcτ	NOUN
ejpam-5733	183	40	(	(	PUNCT
ejpam-5733	183	41	e	e	NOUN
ejpam-5733	183	42	,	,	PUNCT
ejpam-5733	183	43	gb	gb	PRON
ejpam-5733	183	44	,	,	PUNCT
ejpam-5733	183	45	r	r	NOUN
ejpam-5733	183	46	)	)	PUNCT
ejpam-5733	183	47	⊑	⊑	PRON
ejpam-5733	183	48	δcτ	δcτ	NOUN
ejpam-5733	183	49	(	(	PUNCT
ejpam-5733	183	50	e	e	NOUN
ejpam-5733	183	51	,	,	PUNCT
ejpam-5733	183	52	fa	fa	X
ejpam-5733	183	53	⊔	⊔	X
ejpam-5733	183	54	gb	gb	PROPN
ejpam-5733	183	55	,	,	PUNCT
ejpam-5733	183	56	r	r	NOUN
ejpam-5733	183	57	)	)	PUNCT
ejpam-5733	183	58	.	.	PUNCT
ejpam-5733	184	1	thus	thus	ADV
ejpam-5733	184	2	,	,	PUNCT
ejpam-5733	184	3	δcτ	δcτ	NOUN
ejpam-5733	184	4	(	(	PUNCT
ejpam-5733	184	5	e	e	NOUN
ejpam-5733	184	6	,	,	PUNCT
ejpam-5733	184	7	fa	fa	X
ejpam-5733	184	8	⊔	⊔	X
ejpam-5733	184	9	gb	gb	PROPN
ejpam-5733	184	10	,	,	PUNCT
ejpam-5733	184	11	r	r	NOUN
ejpam-5733	184	12	)	)	PUNCT
ejpam-5733	184	13	⊒	⊒	PROPN
ejpam-5733	184	14	δcτ	δcτ	NOUN
ejpam-5733	184	15	(	(	PUNCT
ejpam-5733	184	16	e	e	NOUN
ejpam-5733	184	17	,	,	PUNCT
ejpam-5733	184	18	fa	fa	PROPN
ejpam-5733	184	19	,	,	PUNCT
ejpam-5733	184	20	r)⊔	r)⊔	PROPN
ejpam-5733	184	21	δcτ	δcτ	NOUN
ejpam-5733	184	22	(	(	PUNCT
ejpam-5733	184	23	e	e	NOUN
ejpam-5733	184	24	,	,	PUNCT
ejpam-5733	184	25	gb	gb	PRON
ejpam-5733	184	26	,	,	PUNCT
ejpam-5733	184	27	r	r	NOUN
ejpam-5733	184	28	)	)	PUNCT
ejpam-5733	184	29	.	.	PUNCT
ejpam-5733	185	1	(	(	PUNCT
ejpam-5733	185	2	7	7	X
ejpam-5733	185	3	)	)	PUNCT
ejpam-5733	185	4	from	from	ADP
ejpam-5733	185	5	(	(	PUNCT
ejpam-5733	185	6	6	6	NUM
ejpam-5733	185	7	)	)	PUNCT
ejpam-5733	185	8	and	and	CCONJ
ejpam-5733	185	9	cτ	cτ	INTJ
ejpam-5733	185	10	(	(	PUNCT
ejpam-5733	185	11	e	e	NOUN
ejpam-5733	185	12	,	,	PUNCT
ejpam-5733	185	13	fa	fa	NOUN
ejpam-5733	185	14	,	,	PUNCT
ejpam-5733	185	15	r	r	NOUN
ejpam-5733	185	16	)	)	PUNCT
ejpam-5733	185	17	is	be	AUX
ejpam-5733	185	18	r	r	NOUN
ejpam-5733	185	19	-	-	PUNCT
ejpam-5733	185	20	fuzzy	fuzzy	ADJ
ejpam-5733	185	21	soft	soft	ADJ
ejpam-5733	185	22	δ	δ	NOUN
ejpam-5733	185	23	-	-	PUNCT
ejpam-5733	185	24	closed	close	VERB
ejpam-5733	185	25	set	set	NOUN
ejpam-5733	185	26	,	,	PUNCT
ejpam-5733	185	27	hence	hence	ADV
ejpam-5733	185	28	δcτ	δcτ	NOUN
ejpam-5733	185	29	(	(	PUNCT
ejpam-5733	185	30	e	e	NOUN
ejpam-5733	185	31	,	,	PUNCT
ejpam-5733	185	32	cτ	cτ	INTJ
ejpam-5733	185	33	(	(	PUNCT
ejpam-5733	185	34	e	e	NOUN
ejpam-5733	185	35	,	,	PUNCT
ejpam-5733	185	36	fa	fa	NOUN
ejpam-5733	185	37	,	,	PUNCT
ejpam-5733	185	38	r	r	NOUN
ejpam-5733	185	39	)	)	PUNCT
ejpam-5733	185	40	,	,	PUNCT
ejpam-5733	185	41	r	r	NOUN
ejpam-5733	185	42	)	)	PUNCT
ejpam-5733	185	43	=	=	NOUN
ejpam-5733	185	44	cτ	cτ	INTJ
ejpam-5733	185	45	(	(	PUNCT
ejpam-5733	185	46	e	e	NOUN
ejpam-5733	185	47	,	,	PUNCT
ejpam-5733	185	48	fa	fa	NOUN
ejpam-5733	185	49	,	,	PUNCT
ejpam-5733	185	50	r	r	NOUN
ejpam-5733	185	51	)	)	PUNCT
ejpam-5733	185	52	.	.	PUNCT
ejpam-5733	186	1	i.	i.	PROPN
ejpam-5733	186	2	alshammari	alshammari	PROPN
ejpam-5733	186	3	et	et	PROPN
ejpam-5733	186	4	al	al	PROPN
ejpam-5733	186	5	.	.	PUNCT
ejpam-5733	186	6	/	/	SYM
ejpam-5733	186	7	eur	eur	PROPN
ejpam-5733	186	8	.	.	PUNCT
ejpam-5733	187	1	j.	j.	PROPN
ejpam-5733	187	2	pure	pure	PROPN
ejpam-5733	187	3	appl	appl	PROPN
ejpam-5733	187	4	.	.	PROPN
ejpam-5733	187	5	math	math	PROPN
ejpam-5733	187	6	,	,	PUNCT
ejpam-5733	187	7	18	18	NUM
ejpam-5733	187	8	(	(	PUNCT
ejpam-5733	187	9	1	1	NUM
ejpam-5733	187	10	)	)	PUNCT
ejpam-5733	187	11	(	(	PUNCT
ejpam-5733	187	12	2025	2025	NUM
ejpam-5733	187	13	)	)	PUNCT
ejpam-5733	187	14	,	,	PUNCT
ejpam-5733	187	15	5733	5733	NUM
ejpam-5733	187	16	9	9	NUM
ejpam-5733	187	17	of	of	ADP
ejpam-5733	187	18	21	21	NUM
ejpam-5733	187	19	theorem	theorem	NOUN
ejpam-5733	187	20	3	3	NUM
ejpam-5733	187	21	.	.	PUNCT
ejpam-5733	188	1	in	in	ADP
ejpam-5733	188	2	an	an	DET
ejpam-5733	188	3	fsts	fst	NOUN
ejpam-5733	188	4	(	(	PUNCT
ejpam-5733	188	5	u	u	NOUN
ejpam-5733	188	6	,	,	PUNCT
ejpam-5733	188	7	τe	τe	NOUN
ejpam-5733	188	8	)	)	PUNCT
ejpam-5733	188	9	,	,	PUNCT
ejpam-5733	188	10	for	for	ADP
ejpam-5733	188	11	each	each	DET
ejpam-5733	188	12	fa	fa	X
ejpam-5733	188	13	∈	∈	PROPN
ejpam-5733	188	14	(	(	PUNCT
ejpam-5733	188	15	̃u	̃u	PROPN
ejpam-5733	188	16	,	,	PUNCT
ejpam-5733	188	17	e	e	NOUN
ejpam-5733	188	18	)	)	PUNCT
ejpam-5733	188	19	,	,	PUNCT
ejpam-5733	188	20	e	e	PROPN
ejpam-5733	188	21	∈	∈	PROPN
ejpam-5733	188	22	e	e	NOUN
ejpam-5733	188	23	,	,	PUNCT
ejpam-5733	188	24	and	and	CCONJ
ejpam-5733	188	25	r	r	NOUN
ejpam-5733	188	26	∈	∈	PROPN
ejpam-5733	188	27	i0	i0	PROPN
ejpam-5733	188	28	,	,	PUNCT
ejpam-5733	188	29	we	we	PRON
ejpam-5733	188	30	define	define	VERB
ejpam-5733	188	31	a	a	DET
ejpam-5733	188	32	fuzzy	fuzzy	ADJ
ejpam-5733	188	33	soft	soft	ADJ
ejpam-5733	188	34	δ	δ	NOUN
ejpam-5733	188	35	-	-	ADJ
ejpam-5733	188	36	interior	interior	ADJ
ejpam-5733	188	37	operator	operator	NOUN
ejpam-5733	188	38	δiτ	δiτ	NOUN
ejpam-5733	188	39	:	:	PUNCT
ejpam-5733	188	40	e	e	X
ejpam-5733	188	41	×	×	NOUN
ejpam-5733	188	42	(	(	PUNCT
ejpam-5733	188	43	̃u	̃u	PROPN
ejpam-5733	188	44	,	,	PUNCT
ejpam-5733	188	45	e	e	NOUN
ejpam-5733	188	46	)	)	PUNCT
ejpam-5733	188	47	×	×	PROPN
ejpam-5733	188	48	i	i	PROPN
ejpam-5733	188	49	◦	◦	NOUN
ejpam-5733	188	50	→	→	PUNCT
ejpam-5733	188	51	(	(	PUNCT
ejpam-5733	188	52	̃u	̃u	PROPN
ejpam-5733	188	53	,	,	PUNCT
ejpam-5733	188	54	e	e	NOUN
ejpam-5733	188	55	)	)	PUNCT
ejpam-5733	188	56	as	as	SCONJ
ejpam-5733	188	57	follows	follow	VERB
ejpam-5733	188	58	:	:	PUNCT
ejpam-5733	188	59	δiτ	δiτ	X
ejpam-5733	188	60	(	(	PUNCT
ejpam-5733	188	61	e	e	NOUN
ejpam-5733	188	62	,	,	PUNCT
ejpam-5733	188	63	fa	fa	NOUN
ejpam-5733	188	64	,	,	PUNCT
ejpam-5733	188	65	r	r	NOUN
ejpam-5733	188	66	)	)	PUNCT
ejpam-5733	188	67	=	=	SYM
ejpam-5733	188	68	⊔	⊔	X
ejpam-5733	188	69	{	{	PUNCT
ejpam-5733	188	70	gb	gb	NOUN
ejpam-5733	188	71	∈	∈	PROPN
ejpam-5733	188	72	(	(	PUNCT
ejpam-5733	188	73	̃u	̃u	PROPN
ejpam-5733	188	74	,	,	PUNCT
ejpam-5733	188	75	e	e	NOUN
ejpam-5733	188	76	)	)	PUNCT
ejpam-5733	188	77	:	:	PUNCT
ejpam-5733	189	1	gb	gb	ADP
ejpam-5733	189	2	⊑	⊑	X
ejpam-5733	189	3	fa	fa	PROPN
ejpam-5733	189	4	,	,	PUNCT
ejpam-5733	189	5	gb	gb	PROPN
ejpam-5733	189	6	is	be	AUX
ejpam-5733	189	7	r	r	NOUN
ejpam-5733	189	8	-	-	PUNCT
ejpam-5733	189	9	fuzzy	fuzzy	ADJ
ejpam-5733	189	10	soft	soft	ADJ
ejpam-5733	189	11	δ	δ	NOUN
ejpam-5733	189	12	-	-	NOUN
ejpam-5733	189	13	open	open	ADJ
ejpam-5733	189	14	}	}	PUNCT
ejpam-5733	189	15	.	.	PUNCT
ejpam-5733	190	1	then	then	ADV
ejpam-5733	190	2	,	,	PUNCT
ejpam-5733	190	3	for	for	ADP
ejpam-5733	190	4	each	each	DET
ejpam-5733	190	5	fa	fa	PROPN
ejpam-5733	190	6	and	and	CCONJ
ejpam-5733	190	7	gb	gb	PROPN
ejpam-5733	190	8	∈	∈	PROPN
ejpam-5733	190	9	(	(	PUNCT
ejpam-5733	190	10	̃u	̃u	PROPN
ejpam-5733	190	11	,	,	PUNCT
ejpam-5733	190	12	e	e	NOUN
ejpam-5733	190	13	)	)	PUNCT
ejpam-5733	190	14	,	,	PUNCT
ejpam-5733	190	15	the	the	DET
ejpam-5733	190	16	operator	operator	NOUN
ejpam-5733	190	17	δiτ	δiτ	NOUN
ejpam-5733	190	18	satisfies	satisfy	VERB
ejpam-5733	190	19	the	the	DET
ejpam-5733	190	20	following	follow	VERB
ejpam-5733	190	21	properties	property	NOUN
ejpam-5733	190	22	.	.	PUNCT
ejpam-5733	191	1	(	(	PUNCT
ejpam-5733	191	2	1	1	X
ejpam-5733	191	3	)	)	PUNCT
ejpam-5733	191	4	δiτ	δiτ	NOUN
ejpam-5733	191	5	(	(	PUNCT
ejpam-5733	191	6	e	e	NOUN
ejpam-5733	191	7	,	,	PUNCT
ejpam-5733	191	8	ẽ	ẽ	PROPN
ejpam-5733	191	9	,	,	PUNCT
ejpam-5733	191	10	r	r	NOUN
ejpam-5733	191	11	)	)	PUNCT
ejpam-5733	191	12	=	=	SYM
ejpam-5733	192	1	ẽ.	ẽ.	PROPN
ejpam-5733	192	2	(	(	PUNCT
ejpam-5733	192	3	2	2	X
ejpam-5733	192	4	)	)	PUNCT
ejpam-5733	192	5	iτ	iτ	NOUN
ejpam-5733	192	6	(	(	PUNCT
ejpam-5733	192	7	e	e	NOUN
ejpam-5733	192	8	,	,	PUNCT
ejpam-5733	192	9	fa	fa	NOUN
ejpam-5733	192	10	,	,	PUNCT
ejpam-5733	192	11	r	r	NOUN
ejpam-5733	192	12	)	)	PUNCT
ejpam-5733	192	13	⊑	⊑	X
ejpam-5733	192	14	δiτ	δiτ	X
ejpam-5733	192	15	(	(	PUNCT
ejpam-5733	192	16	e	e	NOUN
ejpam-5733	192	17	,	,	PUNCT
ejpam-5733	192	18	fa	fa	NOUN
ejpam-5733	192	19	,	,	PUNCT
ejpam-5733	192	20	r	r	NOUN
ejpam-5733	192	21	)	)	PUNCT
ejpam-5733	192	22	⊑	⊑	X
ejpam-5733	192	23	fa	fa	PROPN
ejpam-5733	192	24	.	.	PROPN
ejpam-5733	192	25	(	(	PUNCT
ejpam-5733	192	26	3	3	X
ejpam-5733	192	27	)	)	PUNCT
ejpam-5733	192	28	δiτ	δiτ	NOUN
ejpam-5733	192	29	(	(	PUNCT
ejpam-5733	192	30	e	e	NOUN
ejpam-5733	192	31	,	,	PUNCT
ejpam-5733	192	32	fa	fa	NOUN
ejpam-5733	192	33	,	,	PUNCT
ejpam-5733	192	34	r	r	NOUN
ejpam-5733	192	35	)	)	PUNCT
ejpam-5733	192	36	⊑	⊑	X
ejpam-5733	192	37	δiτ	δiτ	X
ejpam-5733	192	38	(	(	PUNCT
ejpam-5733	192	39	e	e	NOUN
ejpam-5733	192	40	,	,	PUNCT
ejpam-5733	192	41	gb	gb	PRON
ejpam-5733	192	42	,	,	PUNCT
ejpam-5733	192	43	r	r	NOUN
ejpam-5733	192	44	)	)	PUNCT
ejpam-5733	192	45	if	if	SCONJ
ejpam-5733	192	46	fa	fa	PROPN
ejpam-5733	192	47	⊑	⊑	X
ejpam-5733	192	48	gb	gb	PROPN
ejpam-5733	192	49	.	.	PUNCT
ejpam-5733	193	1	(	(	PUNCT
ejpam-5733	193	2	4	4	X
ejpam-5733	193	3	)	)	PUNCT
ejpam-5733	193	4	δiτ	δiτ	NOUN
ejpam-5733	193	5	(	(	PUNCT
ejpam-5733	193	6	e	e	NOUN
ejpam-5733	193	7	,	,	PUNCT
ejpam-5733	193	8	δiτ	δiτ	X
ejpam-5733	193	9	(	(	PUNCT
ejpam-5733	193	10	e	e	NOUN
ejpam-5733	193	11	,	,	PUNCT
ejpam-5733	193	12	fa	fa	NOUN
ejpam-5733	193	13	,	,	PUNCT
ejpam-5733	193	14	r	r	NOUN
ejpam-5733	193	15	)	)	PUNCT
ejpam-5733	193	16	,	,	PUNCT
ejpam-5733	193	17	r	r	NOUN
ejpam-5733	193	18	)	)	PUNCT
ejpam-5733	193	19	=	=	SYM
ejpam-5733	193	20	δiτ	δiτ	X
ejpam-5733	193	21	(	(	PUNCT
ejpam-5733	193	22	e	e	NOUN
ejpam-5733	193	23	,	,	PUNCT
ejpam-5733	193	24	fa	fa	NOUN
ejpam-5733	193	25	,	,	PUNCT
ejpam-5733	193	26	r	r	NOUN
ejpam-5733	193	27	)	)	PUNCT
ejpam-5733	193	28	.	.	PUNCT
ejpam-5733	194	1	(	(	PUNCT
ejpam-5733	194	2	5	5	X
ejpam-5733	194	3	)	)	PUNCT
ejpam-5733	194	4	δiτ	δiτ	NOUN
ejpam-5733	194	5	(	(	PUNCT
ejpam-5733	194	6	e	e	NOUN
ejpam-5733	194	7	,	,	PUNCT
ejpam-5733	194	8	fa	fa	NOUN
ejpam-5733	194	9	,	,	PUNCT
ejpam-5733	194	10	r	r	NOUN
ejpam-5733	194	11	)	)	PUNCT
ejpam-5733	194	12	⊓	⊓	PROPN
ejpam-5733	194	13	δiτ	δiτ	X
ejpam-5733	194	14	(	(	PUNCT
ejpam-5733	194	15	e	e	NOUN
ejpam-5733	194	16	,	,	PUNCT
ejpam-5733	194	17	gb	gb	PRON
ejpam-5733	194	18	,	,	PUNCT
ejpam-5733	194	19	r	r	NOUN
ejpam-5733	194	20	)	)	PUNCT
ejpam-5733	194	21	⊒	⊒	PROPN
ejpam-5733	194	22	δiτ	δiτ	X
ejpam-5733	194	23	(	(	PUNCT
ejpam-5733	194	24	e	e	NOUN
ejpam-5733	194	25	,	,	PUNCT
ejpam-5733	194	26	fa	fa	X
ejpam-5733	194	27	⊓	⊓	PROPN
ejpam-5733	194	28	gb	gb	NOUN
ejpam-5733	194	29	,	,	PUNCT
ejpam-5733	194	30	r	r	NOUN
ejpam-5733	194	31	)	)	PUNCT
ejpam-5733	194	32	.	.	PUNCT
ejpam-5733	195	1	(	(	PUNCT
ejpam-5733	195	2	6	6	NUM
ejpam-5733	195	3	)	)	PUNCT
ejpam-5733	195	4	δiτ	δiτ	NOUN
ejpam-5733	195	5	(	(	PUNCT
ejpam-5733	195	6	e	e	NOUN
ejpam-5733	195	7	,	,	PUNCT
ejpam-5733	195	8	fa	fa	NOUN
ejpam-5733	195	9	,	,	PUNCT
ejpam-5733	195	10	r	r	NOUN
ejpam-5733	195	11	)	)	PUNCT
ejpam-5733	195	12	=	=	SYM
ejpam-5733	195	13	fa	fa	X
ejpam-5733	195	14	iff	iff	PROPN
ejpam-5733	195	15	fa	fa	PROPN
ejpam-5733	195	16	is	be	AUX
ejpam-5733	195	17	r	r	NOUN
ejpam-5733	195	18	-	-	PUNCT
ejpam-5733	195	19	fuzzy	fuzzy	ADJ
ejpam-5733	195	20	soft	soft	ADJ
ejpam-5733	195	21	δ	δ	NOUN
ejpam-5733	195	22	-	-	NOUN
ejpam-5733	195	23	open	open	ADJ
ejpam-5733	195	24	.	.	PUNCT
ejpam-5733	196	1	(	(	PUNCT
ejpam-5733	196	2	7	7	X
ejpam-5733	196	3	)	)	PUNCT
ejpam-5733	196	4	δiτ	δiτ	NOUN
ejpam-5733	196	5	(	(	PUNCT
ejpam-5733	196	6	e	e	PROPN
ejpam-5733	196	7	,	,	PUNCT
ejpam-5733	196	8	f	f	PROPN
ejpam-5733	196	9	c	c	PROPN
ejpam-5733	196	10	a	a	DET
ejpam-5733	196	11	,	,	PUNCT
ejpam-5733	196	12	r	r	NOUN
ejpam-5733	196	13	)	)	PUNCT
ejpam-5733	196	14	=	=	SYM
ejpam-5733	196	15	(	(	PUNCT
ejpam-5733	196	16	δcτ	δcτ	NOUN
ejpam-5733	196	17	(	(	PUNCT
ejpam-5733	196	18	e	e	NOUN
ejpam-5733	196	19	,	,	PUNCT
ejpam-5733	196	20	fa	fa	NOUN
ejpam-5733	196	21	,	,	PUNCT
ejpam-5733	196	22	r	r	NOUN
ejpam-5733	196	23	)	)	PUNCT
ejpam-5733	196	24	)	)	PUNCT
ejpam-5733	196	25	c.	c.	NOUN
ejpam-5733	196	26	proof	proof	NOUN
ejpam-5733	196	27	.	.	PUNCT
ejpam-5733	197	1	(	(	PUNCT
ejpam-5733	197	2	1	1	NUM
ejpam-5733	197	3	)	)	PUNCT
ejpam-5733	197	4	,	,	PUNCT
ejpam-5733	197	5	(	(	PUNCT
ejpam-5733	197	6	2	2	NUM
ejpam-5733	197	7	)	)	PUNCT
ejpam-5733	197	8	,	,	PUNCT
ejpam-5733	197	9	(	(	PUNCT
ejpam-5733	197	10	3	3	NUM
ejpam-5733	197	11	)	)	PUNCT
ejpam-5733	197	12	,	,	PUNCT
ejpam-5733	197	13	and	and	CCONJ
ejpam-5733	197	14	(	(	PUNCT
ejpam-5733	197	15	6	6	NUM
ejpam-5733	197	16	)	)	PUNCT
ejpam-5733	197	17	are	be	AUX
ejpam-5733	197	18	easily	easily	ADV
ejpam-5733	197	19	proved	prove	VERB
ejpam-5733	197	20	from	from	ADP
ejpam-5733	197	21	the	the	DET
ejpam-5733	197	22	definition	definition	NOUN
ejpam-5733	197	23	of	of	ADP
ejpam-5733	197	24	δiτ	δiτ	PROPN
ejpam-5733	197	25	.	.	PUNCT
ejpam-5733	198	1	(	(	PUNCT
ejpam-5733	198	2	4	4	NUM
ejpam-5733	198	3	)	)	PUNCT
ejpam-5733	198	4	and	and	CCONJ
ejpam-5733	198	5	(	(	PUNCT
ejpam-5733	198	6	5	5	X
ejpam-5733	198	7	)	)	PUNCT
ejpam-5733	198	8	are	be	AUX
ejpam-5733	198	9	easily	easily	ADV
ejpam-5733	198	10	proved	prove	VERB
ejpam-5733	198	11	by	by	ADP
ejpam-5733	198	12	a	a	DET
ejpam-5733	198	13	similar	similar	ADJ
ejpam-5733	198	14	way	way	NOUN
ejpam-5733	198	15	in	in	ADP
ejpam-5733	198	16	theorem	theorem	NOUN
ejpam-5733	198	17	2	2	NUM
ejpam-5733	198	18	.	.	PUNCT
ejpam-5733	199	1	(	(	PUNCT
ejpam-5733	199	2	7	7	NUM
ejpam-5733	199	3	)	)	PUNCT
ejpam-5733	199	4	for	for	ADP
ejpam-5733	199	5	each	each	DET
ejpam-5733	199	6	fa	fa	X
ejpam-5733	199	7	∈	∈	PROPN
ejpam-5733	199	8	(	(	PUNCT
ejpam-5733	199	9	̃u	̃u	PROPN
ejpam-5733	199	10	,	,	PUNCT
ejpam-5733	199	11	e	e	NOUN
ejpam-5733	199	12	)	)	PUNCT
ejpam-5733	199	13	,	,	PUNCT
ejpam-5733	199	14	e	e	PROPN
ejpam-5733	199	15	∈	∈	PROPN
ejpam-5733	199	16	e	e	NOUN
ejpam-5733	199	17	,	,	PUNCT
ejpam-5733	199	18	and	and	CCONJ
ejpam-5733	199	19	r	r	NOUN
ejpam-5733	199	20	∈	∈	PROPN
ejpam-5733	199	21	i0	i0	PROPN
ejpam-5733	199	22	,	,	PUNCT
ejpam-5733	199	23	we	we	PRON
ejpam-5733	199	24	have	have	VERB
ejpam-5733	199	25	δiτ	δiτ	NOUN
ejpam-5733	199	26	(	(	PUNCT
ejpam-5733	199	27	e	e	PROPN
ejpam-5733	199	28	,	,	PUNCT
ejpam-5733	199	29	f	f	PROPN
ejpam-5733	199	30	c	c	PROPN
ejpam-5733	199	31	a	a	PRON
ejpam-5733	199	32	,	,	PUNCT
ejpam-5733	199	33	r	r	NOUN
ejpam-5733	199	34	)	)	PUNCT
ejpam-5733	199	35	=	=	SYM
ejpam-5733	199	36	⊔{gb	⊔{gb	PUNCT
ejpam-5733	199	37	∈	∈	PROPN
ejpam-5733	199	38	(	(	PUNCT
ejpam-5733	199	39	̃u	̃u	PROPN
ejpam-5733	199	40	,	,	PUNCT
ejpam-5733	199	41	e	e	NOUN
ejpam-5733	199	42	)	)	PUNCT
ejpam-5733	199	43	:	:	PUNCT
ejpam-5733	200	1	gb	gb	ADP
ejpam-5733	200	2	⊑	⊑	X
ejpam-5733	200	3	f	f	PROPN
ejpam-5733	200	4	ca	can	AUX
ejpam-5733	200	5	,	,	PUNCT
ejpam-5733	200	6	gb	gb	PROPN
ejpam-5733	200	7	is	be	AUX
ejpam-5733	200	8	r	r	NOUN
ejpam-5733	200	9	-	-	PUNCT
ejpam-5733	200	10	fuzzy	fuzzy	ADJ
ejpam-5733	200	11	soft	soft	ADJ
ejpam-5733	200	12	δ	δ	NOUN
ejpam-5733	200	13	-	-	NOUN
ejpam-5733	200	14	open}=	open}=	PROPN
ejpam-5733	201	1	[	[	X
ejpam-5733	201	2	⊓{gcb	⊓{gcb	X
ejpam-5733	201	3	∈	∈	PROPN
ejpam-5733	201	4	(	(	PUNCT
ejpam-5733	201	5	̃u	̃u	PROPN
ejpam-5733	201	6	,	,	PUNCT
ejpam-5733	201	7	e	e	NOUN
ejpam-5733	201	8	)	)	PUNCT
ejpam-5733	201	9	:	:	PUNCT
ejpam-5733	201	10	fa	fa	PROPN
ejpam-5733	201	11	⊑	⊑	PROPN
ejpam-5733	202	1	gcb	gcb	PROPN
ejpam-5733	202	2	,	,	PUNCT
ejpam-5733	202	3	g	g	PROPN
ejpam-5733	202	4	c	c	PROPN
ejpam-5733	202	5	b	b	PROPN
ejpam-5733	202	6	is	be	AUX
ejpam-5733	202	7	r	r	NOUN
ejpam-5733	202	8	-	-	PUNCT
ejpam-5733	202	9	fuzzy	fuzzy	ADJ
ejpam-5733	202	10	soft	soft	ADJ
ejpam-5733	202	11	δ	δ	NOUN
ejpam-5733	202	12	-	-	PUNCT
ejpam-5733	202	13	closed}]c	closed}]c	NOUN
ejpam-5733	202	14	=	=	SYM
ejpam-5733	202	15	(	(	PUNCT
ejpam-5733	202	16	δcτ	δcτ	NOUN
ejpam-5733	202	17	(	(	PUNCT
ejpam-5733	202	18	e	e	NOUN
ejpam-5733	202	19	,	,	PUNCT
ejpam-5733	202	20	fa	fa	NOUN
ejpam-5733	202	21	,	,	PUNCT
ejpam-5733	202	22	r	r	NOUN
ejpam-5733	202	23	)	)	PUNCT
ejpam-5733	202	24	)	)	PUNCT
ejpam-5733	202	25	c.	c.	NOUN
ejpam-5733	202	26	definition	definition	NOUN
ejpam-5733	202	27	10	10	NUM
ejpam-5733	202	28	.	.	PUNCT
ejpam-5733	203	1	let	let	VERB
ejpam-5733	203	2	(	(	PUNCT
ejpam-5733	203	3	u	u	NOUN
ejpam-5733	203	4	,	,	PUNCT
ejpam-5733	203	5	τe	τe	PRON
ejpam-5733	203	6	)	)	PUNCT
ejpam-5733	203	7	be	be	VERB
ejpam-5733	203	8	an	an	DET
ejpam-5733	203	9	fsts	fst	NOUN
ejpam-5733	203	10	,	,	PUNCT
ejpam-5733	203	11	r	r	NOUN
ejpam-5733	203	12	∈	∈	PROPN
ejpam-5733	203	13	i0	i0	PROPN
ejpam-5733	203	14	,	,	PUNCT
ejpam-5733	203	15	and	and	CCONJ
ejpam-5733	203	16	fa	fa	NOUN
ejpam-5733	203	17	,	,	PUNCT
ejpam-5733	203	18	gb	gb	NOUN
ejpam-5733	203	19	∈	∈	PROPN
ejpam-5733	203	20	(	(	PUNCT
ejpam-5733	203	21	̃u	̃u	PROPN
ejpam-5733	203	22	,	,	PUNCT
ejpam-5733	203	23	e	e	NOUN
ejpam-5733	203	24	)	)	PUNCT
ejpam-5733	203	25	,	,	PUNCT
ejpam-5733	203	26	then	then	ADV
ejpam-5733	203	27	we	we	PRON
ejpam-5733	203	28	have	have	VERB
ejpam-5733	203	29	:	:	PUNCT
ejpam-5733	203	30	(	(	PUNCT
ejpam-5733	203	31	1	1	X
ejpam-5733	203	32	)	)	PUNCT
ejpam-5733	203	33	two	two	NUM
ejpam-5733	203	34	fuzzy	fuzzy	ADJ
ejpam-5733	203	35	soft	soft	ADJ
ejpam-5733	203	36	sets	set	NOUN
ejpam-5733	203	37	fa	fa	INTJ
ejpam-5733	204	1	and	and	CCONJ
ejpam-5733	204	2	gb	gb	PRON
ejpam-5733	204	3	are	be	AUX
ejpam-5733	204	4	called	call	VERB
ejpam-5733	204	5	r	r	NOUN
ejpam-5733	204	6	-	-	PUNCT
ejpam-5733	204	7	fuzzy	fuzzy	ADJ
ejpam-5733	204	8	soft	soft	ADJ
ejpam-5733	204	9	δ	δ	NOUN
ejpam-5733	204	10	-	-	PUNCT
ejpam-5733	204	11	separated	separate	VERB
ejpam-5733	204	12	iff	iff	PROPN
ejpam-5733	204	13	gb	gb	PRON
ejpam-5733	204	14	̸	̸	PUNCT
ejpam-5733	204	15	q̃	q̃	PROPN
ejpam-5733	204	16	δcτ	δcτ	NOUN
ejpam-5733	204	17	(	(	PUNCT
ejpam-5733	204	18	e	e	NOUN
ejpam-5733	204	19	,	,	PUNCT
ejpam-5733	204	20	fa	fa	NOUN
ejpam-5733	204	21	,	,	PUNCT
ejpam-5733	204	22	r	r	NOUN
ejpam-5733	204	23	)	)	PUNCT
ejpam-5733	204	24	and	and	CCONJ
ejpam-5733	204	25	fa	fa	INTJ
ejpam-5733	204	26	̸	̸	PUNCT
ejpam-5733	205	1	q̃	q̃	PROPN
ejpam-5733	205	2	δcτ	δcτ	NOUN
ejpam-5733	205	3	(	(	PUNCT
ejpam-5733	205	4	e	e	NOUN
ejpam-5733	205	5	,	,	PUNCT
ejpam-5733	205	6	gb	gb	PRON
ejpam-5733	205	7	,	,	PUNCT
ejpam-5733	205	8	r	r	NOUN
ejpam-5733	205	9	)	)	PUNCT
ejpam-5733	205	10	for	for	ADP
ejpam-5733	205	11	each	each	DET
ejpam-5733	205	12	e	e	PROPN
ejpam-5733	205	13	∈	∈	PROPN
ejpam-5733	205	14	e.	e.	PROPN
ejpam-5733	205	15	(	(	PUNCT
ejpam-5733	205	16	2	2	NUM
ejpam-5733	205	17	)	)	PUNCT
ejpam-5733	205	18	any	any	DET
ejpam-5733	205	19	fuzzy	fuzzy	ADJ
ejpam-5733	205	20	soft	soft	ADJ
ejpam-5733	205	21	set	set	NOUN
ejpam-5733	205	22	which	which	PRON
ejpam-5733	205	23	can	can	AUX
ejpam-5733	205	24	not	not	PART
ejpam-5733	205	25	be	be	AUX
ejpam-5733	205	26	expressed	express	VERB
ejpam-5733	205	27	as	as	SCONJ
ejpam-5733	205	28	the	the	DET
ejpam-5733	205	29	union	union	NOUN
ejpam-5733	205	30	of	of	ADP
ejpam-5733	205	31	two	two	NUM
ejpam-5733	205	32	r	r	NOUN
ejpam-5733	205	33	-	-	PUNCT
ejpam-5733	205	34	fuzzy	fuzzy	ADJ
ejpam-5733	205	35	soft	soft	ADJ
ejpam-5733	205	36	δ	δ	NOUN
ejpam-5733	205	37	-	-	PUNCT
ejpam-5733	205	38	separated	separate	VERB
ejpam-5733	205	39	sets	set	NOUN
ejpam-5733	205	40	is	be	AUX
ejpam-5733	205	41	called	call	VERB
ejpam-5733	205	42	an	an	DET
ejpam-5733	205	43	r	r	NOUN
ejpam-5733	205	44	-	-	PUNCT
ejpam-5733	205	45	fuzzy	fuzzy	ADJ
ejpam-5733	205	46	soft	soft	ADJ
ejpam-5733	205	47	δ	δ	NOUN
ejpam-5733	205	48	-	-	PUNCT
ejpam-5733	205	49	connected	connect	VERB
ejpam-5733	205	50	.	.	PUNCT
ejpam-5733	206	1	theorem	theorem	VERB
ejpam-5733	206	2	4	4	NUM
ejpam-5733	206	3	.	.	PUNCT
ejpam-5733	207	1	in	in	ADP
ejpam-5733	207	2	an	an	DET
ejpam-5733	207	3	fsts	fst	NOUN
ejpam-5733	207	4	(	(	PUNCT
ejpam-5733	207	5	u	u	NOUN
ejpam-5733	207	6	,	,	PUNCT
ejpam-5733	207	7	τe	τe	NOUN
ejpam-5733	207	8	)	)	PUNCT
ejpam-5733	207	9	,	,	PUNCT
ejpam-5733	207	10	we	we	PRON
ejpam-5733	207	11	have	have	VERB
ejpam-5733	207	12	:	:	PUNCT
ejpam-5733	207	13	(	(	PUNCT
ejpam-5733	207	14	1	1	X
ejpam-5733	207	15	)	)	PUNCT
ejpam-5733	207	16	if	if	SCONJ
ejpam-5733	207	17	fa	fa	PROPN
ejpam-5733	207	18	and	and	CCONJ
ejpam-5733	207	19	gb	gb	NOUN
ejpam-5733	207	20	∈	∈	PROPN
ejpam-5733	207	21	(	(	PUNCT
ejpam-5733	207	22	̃u	̃u	PROPN
ejpam-5733	207	23	,	,	PUNCT
ejpam-5733	207	24	e	e	NOUN
ejpam-5733	207	25	)	)	PUNCT
ejpam-5733	207	26	are	be	AUX
ejpam-5733	207	27	r	r	NOUN
ejpam-5733	207	28	-	-	PUNCT
ejpam-5733	207	29	fuzzy	fuzzy	ADJ
ejpam-5733	207	30	soft	soft	ADJ
ejpam-5733	207	31	δ	δ	NOUN
ejpam-5733	207	32	-	-	PUNCT
ejpam-5733	207	33	separated	separate	VERB
ejpam-5733	207	34	and	and	CCONJ
ejpam-5733	207	35	hc	hc	X
ejpam-5733	207	36	,	,	PUNCT
ejpam-5733	207	37	td	td	NOUN
ejpam-5733	207	38	∈	∈	PROPN
ejpam-5733	207	39	(	(	PUNCT
ejpam-5733	207	40	̃u	̃u	PROPN
ejpam-5733	207	41	,	,	PUNCT
ejpam-5733	207	42	e	e	NOUN
ejpam-5733	207	43	)	)	PUNCT
ejpam-5733	207	44	such	such	ADJ
ejpam-5733	207	45	that	that	SCONJ
ejpam-5733	207	46	hc	hc	PROPN
ejpam-5733	207	47	⊑	⊑	DET
ejpam-5733	207	48	fa	fa	PROPN
ejpam-5733	207	49	and	and	CCONJ
ejpam-5733	207	50	td	td	VERB
ejpam-5733	207	51	⊑	⊑	PRON
ejpam-5733	207	52	gb	gb	NOUN
ejpam-5733	207	53	,	,	PUNCT
ejpam-5733	207	54	then	then	ADV
ejpam-5733	207	55	hc	hc	PROPN
ejpam-5733	207	56	and	and	CCONJ
ejpam-5733	207	57	td	td	NOUN
ejpam-5733	207	58	are	be	AUX
ejpam-5733	207	59	r	r	NOUN
ejpam-5733	207	60	-	-	PUNCT
ejpam-5733	207	61	fuzzy	fuzzy	ADJ
ejpam-5733	207	62	soft	soft	ADJ
ejpam-5733	207	63	δ	δ	NOUN
ejpam-5733	207	64	-	-	PUNCT
ejpam-5733	207	65	separated	separate	VERB
ejpam-5733	207	66	.	.	PUNCT
ejpam-5733	208	1	i.	i.	PROPN
ejpam-5733	208	2	alshammari	alshammari	PROPN
ejpam-5733	208	3	et	et	PROPN
ejpam-5733	208	4	al	al	PROPN
ejpam-5733	208	5	.	.	PUNCT
ejpam-5733	208	6	/	/	SYM
ejpam-5733	208	7	eur	eur	PROPN
ejpam-5733	208	8	.	.	PUNCT
ejpam-5733	209	1	j.	j.	PROPN
ejpam-5733	209	2	pure	pure	PROPN
ejpam-5733	209	3	appl	appl	PROPN
ejpam-5733	209	4	.	.	PROPN
ejpam-5733	209	5	math	math	PROPN
ejpam-5733	209	6	,	,	PUNCT
ejpam-5733	209	7	18	18	NUM
ejpam-5733	209	8	(	(	PUNCT
ejpam-5733	209	9	1	1	NUM
ejpam-5733	209	10	)	)	PUNCT
ejpam-5733	209	11	(	(	PUNCT
ejpam-5733	209	12	2025	2025	NUM
ejpam-5733	209	13	)	)	PUNCT
ejpam-5733	209	14	,	,	PUNCT
ejpam-5733	209	15	5733	5733	NUM
ejpam-5733	209	16	10	10	NUM
ejpam-5733	209	17	of	of	ADP
ejpam-5733	209	18	21	21	NUM
ejpam-5733	209	19	(	(	PUNCT
ejpam-5733	209	20	2	2	NUM
ejpam-5733	209	21	)	)	PUNCT
ejpam-5733	209	22	if	if	SCONJ
ejpam-5733	209	23	fa	fa	PROPN
ejpam-5733	209	24	̸	̸	PUNCT
ejpam-5733	209	25	q̃	q̃	PROPN
ejpam-5733	209	26	gb	gb	ADV
ejpam-5733	209	27	and	and	CCONJ
ejpam-5733	209	28	either	either	CCONJ
ejpam-5733	209	29	both	both	PRON
ejpam-5733	209	30	are	be	AUX
ejpam-5733	209	31	r	r	NOUN
ejpam-5733	209	32	-	-	PUNCT
ejpam-5733	209	33	fuzzy	fuzzy	ADJ
ejpam-5733	209	34	soft	soft	ADJ
ejpam-5733	209	35	δ	δ	NOUN
ejpam-5733	209	36	-	-	ADJ
ejpam-5733	209	37	open	open	ADJ
ejpam-5733	209	38	or	or	CCONJ
ejpam-5733	209	39	both	both	CCONJ
ejpam-5733	209	40	r	r	NOUN
ejpam-5733	209	41	-	-	PUNCT
ejpam-5733	209	42	fuzzy	fuzzy	ADJ
ejpam-5733	209	43	soft	soft	ADJ
ejpam-5733	209	44	δ	δ	NOUN
ejpam-5733	209	45	-	-	PUNCT
ejpam-5733	209	46	closed	closed	ADJ
ejpam-5733	209	47	,	,	PUNCT
ejpam-5733	209	48	then	then	ADV
ejpam-5733	209	49	fa	fa	PROPN
ejpam-5733	209	50	and	and	CCONJ
ejpam-5733	209	51	gb	gb	PROPN
ejpam-5733	209	52	are	be	AUX
ejpam-5733	209	53	r	r	NOUN
ejpam-5733	209	54	-	-	PUNCT
ejpam-5733	209	55	fuzzy	fuzzy	ADJ
ejpam-5733	209	56	soft	soft	ADJ
ejpam-5733	209	57	δ	δ	NOUN
ejpam-5733	209	58	-	-	PUNCT
ejpam-5733	209	59	separated	separate	VERB
ejpam-5733	209	60	.	.	PUNCT
ejpam-5733	210	1	(	(	PUNCT
ejpam-5733	210	2	3	3	X
ejpam-5733	210	3	)	)	PUNCT
ejpam-5733	210	4	if	if	SCONJ
ejpam-5733	210	5	fa	fa	PROPN
ejpam-5733	210	6	and	and	CCONJ
ejpam-5733	210	7	gb	gb	PRON
ejpam-5733	210	8	are	be	AUX
ejpam-5733	210	9	either	either	CCONJ
ejpam-5733	210	10	both	both	CCONJ
ejpam-5733	210	11	r	r	NOUN
ejpam-5733	210	12	-	-	PUNCT
ejpam-5733	210	13	fuzzy	fuzzy	ADJ
ejpam-5733	210	14	soft	soft	ADJ
ejpam-5733	210	15	δ	δ	NOUN
ejpam-5733	210	16	-	-	ADJ
ejpam-5733	210	17	open	open	ADJ
ejpam-5733	210	18	or	or	CCONJ
ejpam-5733	210	19	both	both	CCONJ
ejpam-5733	210	20	r	r	NOUN
ejpam-5733	210	21	-	-	PUNCT
ejpam-5733	210	22	fuzzy	fuzzy	ADJ
ejpam-5733	210	23	soft	soft	ADJ
ejpam-5733	210	24	δ	δ	NOUN
ejpam-5733	210	25	-	-	PUNCT
ejpam-5733	210	26	closed	closed	ADJ
ejpam-5733	210	27	,	,	PUNCT
ejpam-5733	210	28	then	then	ADV
ejpam-5733	210	29	fa	fa	PROPN
ejpam-5733	210	30	⊓	⊓	PROPN
ejpam-5733	210	31	gcb	gcb	X
ejpam-5733	210	32	and	and	CCONJ
ejpam-5733	210	33	gb	gb	ADJ
ejpam-5733	210	34	⊓	⊓	PROPN
ejpam-5733	210	35	f	f	PROPN
ejpam-5733	210	36	ca	can	AUX
ejpam-5733	210	37	are	be	AUX
ejpam-5733	210	38	r	r	NOUN
ejpam-5733	210	39	-	-	PUNCT
ejpam-5733	210	40	fuzzy	fuzzy	ADJ
ejpam-5733	210	41	soft	soft	ADJ
ejpam-5733	210	42	δ	δ	NOUN
ejpam-5733	210	43	-	-	PUNCT
ejpam-5733	210	44	separated	separate	VERB
ejpam-5733	210	45	.	.	PUNCT
ejpam-5733	211	1	proof	proof	NOUN
ejpam-5733	211	2	.	.	PUNCT
ejpam-5733	212	1	(	(	PUNCT
ejpam-5733	212	2	1	1	X
ejpam-5733	212	3	)	)	PUNCT
ejpam-5733	212	4	and	and	CCONJ
ejpam-5733	212	5	(	(	PUNCT
ejpam-5733	212	6	2	2	X
ejpam-5733	212	7	)	)	PUNCT
ejpam-5733	212	8	are	be	AUX
ejpam-5733	212	9	obvious	obvious	ADJ
ejpam-5733	212	10	.	.	PUNCT
ejpam-5733	213	1	(	(	PUNCT
ejpam-5733	213	2	3	3	X
ejpam-5733	213	3	)	)	PUNCT
ejpam-5733	213	4	let	let	VERB
ejpam-5733	213	5	fa	fa	INTJ
ejpam-5733	213	6	and	and	CCONJ
ejpam-5733	213	7	gb	gb	PRON
ejpam-5733	213	8	be	be	AUX
ejpam-5733	213	9	an	an	DET
ejpam-5733	213	10	r	r	NOUN
ejpam-5733	213	11	-	-	PUNCT
ejpam-5733	213	12	fuzzy	fuzzy	ADJ
ejpam-5733	213	13	soft	soft	ADJ
ejpam-5733	213	14	δ	δ	NOUN
ejpam-5733	213	15	-	-	NOUN
ejpam-5733	213	16	open	open	ADJ
ejpam-5733	213	17	.	.	PUNCT
ejpam-5733	214	1	since	since	SCONJ
ejpam-5733	214	2	fa	fa	PROPN
ejpam-5733	214	3	⊓	⊓	PROPN
ejpam-5733	214	4	gcb	gcb	PROPN
ejpam-5733	214	5	⊑	⊑	X
ejpam-5733	214	6	gcb	gcb	PROPN
ejpam-5733	214	7	,	,	PUNCT
ejpam-5733	214	8	δcτ	δcτ	NOUN
ejpam-5733	214	9	(	(	PUNCT
ejpam-5733	214	10	e	e	NOUN
ejpam-5733	214	11	,	,	PUNCT
ejpam-5733	214	12	fa⊓gcb	fa⊓gcb	ADV
ejpam-5733	214	13	,	,	PUNCT
ejpam-5733	214	14	r	r	X
ejpam-5733	214	15	)	)	PUNCT
ejpam-5733	214	16	⊑	⊑	X
ejpam-5733	214	17	gcb	gcb	PROPN
ejpam-5733	214	18	and	and	CCONJ
ejpam-5733	214	19	hence	hence	ADV
ejpam-5733	214	20	δcτ	δcτ	NOUN
ejpam-5733	214	21	(	(	PUNCT
ejpam-5733	214	22	e	e	NOUN
ejpam-5733	214	23	,	,	PUNCT
ejpam-5733	214	24	fa	fa	X
ejpam-5733	214	25	⊓	⊓	PROPN
ejpam-5733	214	26	gcb	gcb	PROPN
ejpam-5733	214	27	,	,	PUNCT
ejpam-5733	214	28	r)̸	r)̸	PROPN
ejpam-5733	214	29	q̃	q̃	PROPN
ejpam-5733	214	30	gb	gb	PRON
ejpam-5733	214	31	.	.	PUNCT
ejpam-5733	214	32	then	then	ADV
ejpam-5733	214	33	,	,	PUNCT
ejpam-5733	214	34	δcτ	δcτ	NOUN
ejpam-5733	214	35	(	(	PUNCT
ejpam-5733	214	36	e	e	NOUN
ejpam-5733	214	37	,	,	PUNCT
ejpam-5733	214	38	fa	fa	X
ejpam-5733	214	39	⊓	⊓	PROPN
ejpam-5733	214	40	gcb	gcb	PROPN
ejpam-5733	214	41	,	,	PUNCT
ejpam-5733	214	42	r)̸	r)̸	PROPN
ejpam-5733	214	43	q̃	q̃	PROPN
ejpam-5733	214	44	(	(	PUNCT
ejpam-5733	214	45	gb	gb	NOUN
ejpam-5733	214	46	⊓	⊓	PROPN
ejpam-5733	214	47	f	f	PROPN
ejpam-5733	214	48	ca	ca	NOUN
ejpam-5733	214	49	)	)	PUNCT
ejpam-5733	214	50	.	.	PUNCT
ejpam-5733	215	1	again	again	ADV
ejpam-5733	215	2	,	,	PUNCT
ejpam-5733	215	3	since	since	SCONJ
ejpam-5733	215	4	gb	gb	DET
ejpam-5733	215	5	⊓	⊓	PROPN
ejpam-5733	215	6	f	f	PROPN
ejpam-5733	215	7	ca	ca	NOUN
ejpam-5733	215	8	⊑	⊑	X
ejpam-5733	215	9	f	f	PROPN
ejpam-5733	215	10	ca	can	AUX
ejpam-5733	215	11	,	,	PUNCT
ejpam-5733	215	12	δcτ	δcτ	NOUN
ejpam-5733	215	13	(	(	PUNCT
ejpam-5733	215	14	e	e	NOUN
ejpam-5733	215	15	,	,	PUNCT
ejpam-5733	215	16	gb	gb	ADP
ejpam-5733	215	17	⊓	⊓	PROPN
ejpam-5733	215	18	f	f	PROPN
ejpam-5733	215	19	ca	can	AUX
ejpam-5733	215	20	,	,	PUNCT
ejpam-5733	215	21	r	r	NOUN
ejpam-5733	215	22	)	)	PUNCT
ejpam-5733	215	23	⊑	⊑	X
ejpam-5733	215	24	f	f	PROPN
ejpam-5733	216	1	ca	can	AUX
ejpam-5733	216	2	and	and	CCONJ
ejpam-5733	216	3	hence	hence	ADV
ejpam-5733	216	4	δcτ	δcτ	NOUN
ejpam-5733	216	5	(	(	PUNCT
ejpam-5733	216	6	e	e	NOUN
ejpam-5733	216	7	,	,	PUNCT
ejpam-5733	216	8	gb	gb	ADP
ejpam-5733	216	9	⊓f	⊓f	PRON
ejpam-5733	216	10	ca	ca	NOUN
ejpam-5733	216	11	,	,	PUNCT
ejpam-5733	216	12	r)̸	r)̸	PROPN
ejpam-5733	216	13	q̃	q̃	PROPN
ejpam-5733	216	14	fa	fa	PROPN
ejpam-5733	216	15	.	.	PUNCT
ejpam-5733	217	1	then	then	ADV
ejpam-5733	217	2	,	,	PUNCT
ejpam-5733	217	3	δcτ	δcτ	NOUN
ejpam-5733	217	4	(	(	PUNCT
ejpam-5733	217	5	e	e	NOUN
ejpam-5733	217	6	,	,	PUNCT
ejpam-5733	217	7	gb	gb	ADP
ejpam-5733	217	8	⊓	⊓	PROPN
ejpam-5733	217	9	f	f	PROPN
ejpam-5733	217	10	ca	ca	NOUN
ejpam-5733	217	11	,	,	PUNCT
ejpam-5733	217	12	r)̸	r)̸	PROPN
ejpam-5733	217	13	q̃	q̃	PROPN
ejpam-5733	217	14	(	(	PUNCT
ejpam-5733	217	15	fa	fa	PROPN
ejpam-5733	217	16	⊓	⊓	PROPN
ejpam-5733	217	17	gcb	gcb	PROPN
ejpam-5733	217	18	)	)	PUNCT
ejpam-5733	217	19	.	.	PUNCT
ejpam-5733	218	1	thus	thus	ADV
ejpam-5733	218	2	,	,	PUNCT
ejpam-5733	218	3	fa	fa	X
ejpam-5733	218	4	⊓	⊓	PROPN
ejpam-5733	218	5	gcb	gcb	X
ejpam-5733	218	6	and	and	CCONJ
ejpam-5733	218	7	gb	gb	ADJ
ejpam-5733	218	8	⊓	⊓	PROPN
ejpam-5733	218	9	f	f	PROPN
ejpam-5733	218	10	ca	can	AUX
ejpam-5733	218	11	are	be	AUX
ejpam-5733	218	12	r	r	NOUN
ejpam-5733	218	13	-	-	PUNCT
ejpam-5733	218	14	fuzzy	fuzzy	ADJ
ejpam-5733	218	15	soft	soft	ADJ
ejpam-5733	218	16	δ	δ	NOUN
ejpam-5733	218	17	-	-	PUNCT
ejpam-5733	218	18	separated	separate	VERB
ejpam-5733	218	19	.	.	PUNCT
ejpam-5733	219	1	the	the	DET
ejpam-5733	219	2	other	other	ADJ
ejpam-5733	219	3	case	case	NOUN
ejpam-5733	219	4	follows	follow	VERB
ejpam-5733	219	5	similar	similar	ADJ
ejpam-5733	219	6	lines	line	NOUN
ejpam-5733	219	7	.	.	PUNCT
ejpam-5733	220	1	theorem	theorem	NOUN
ejpam-5733	220	2	5	5	NUM
ejpam-5733	220	3	.	.	PUNCT
ejpam-5733	221	1	in	in	ADP
ejpam-5733	221	2	an	an	DET
ejpam-5733	221	3	fsts	fst	NOUN
ejpam-5733	221	4	(	(	PUNCT
ejpam-5733	221	5	u	u	NOUN
ejpam-5733	221	6	,	,	PUNCT
ejpam-5733	221	7	τe	τe	NOUN
ejpam-5733	221	8	)	)	PUNCT
ejpam-5733	221	9	,	,	PUNCT
ejpam-5733	221	10	then	then	ADV
ejpam-5733	221	11	fa	fa	INTJ
ejpam-5733	221	12	,	,	PUNCT
ejpam-5733	221	13	gb	gb	NOUN
ejpam-5733	221	14	∈	∈	PROPN
ejpam-5733	221	15	(	(	PUNCT
ejpam-5733	221	16	̃u	̃u	PROPN
ejpam-5733	221	17	,	,	PUNCT
ejpam-5733	221	18	e	e	NOUN
ejpam-5733	221	19	)	)	PUNCT
ejpam-5733	221	20	are	be	AUX
ejpam-5733	221	21	r	r	NOUN
ejpam-5733	221	22	-	-	PUNCT
ejpam-5733	221	23	fuzzy	fuzzy	ADJ
ejpam-5733	221	24	soft	soft	ADJ
ejpam-5733	221	25	δ	δ	NOUN
ejpam-5733	221	26	-	-	PUNCT
ejpam-5733	221	27	separated	separate	VERB
ejpam-5733	221	28	iff	iff	PROPN
ejpam-5733	221	29	there	there	ADV
ejpam-5733	221	30	exist	exist	VERB
ejpam-5733	221	31	two	two	NUM
ejpam-5733	221	32	r	r	NOUN
ejpam-5733	221	33	-	-	PUNCT
ejpam-5733	221	34	fuzzy	fuzzy	ADJ
ejpam-5733	221	35	soft	soft	ADJ
ejpam-5733	221	36	δ	δ	NOUN
ejpam-5733	221	37	-	-	ADJ
ejpam-5733	221	38	open	open	ADJ
ejpam-5733	221	39	sets	set	VERB
ejpam-5733	221	40	hc	hc	NOUN
ejpam-5733	221	41	and	and	CCONJ
ejpam-5733	221	42	td	td	NOUN
ejpam-5733	222	1	such	such	ADJ
ejpam-5733	222	2	that	that	SCONJ
ejpam-5733	222	3	fa	fa	PROPN
ejpam-5733	222	4	⊑	⊑	PRON
ejpam-5733	222	5	hc	hc	PROPN
ejpam-5733	222	6	,	,	PUNCT
ejpam-5733	222	7	gb	gb	ADP
ejpam-5733	222	8	⊑	⊑	PRON
ejpam-5733	222	9	td	td	PROPN
ejpam-5733	222	10	,	,	PUNCT
ejpam-5733	222	11	fa	fa	PROPN
ejpam-5733	222	12	̸	̸	PUNCT
ejpam-5733	222	13	q̃	q̃	PROPN
ejpam-5733	222	14	td	td	NOUN
ejpam-5733	223	1	and	and	CCONJ
ejpam-5733	223	2	gb	gb	NOUN
ejpam-5733	223	3	̸	̸	PUNCT
ejpam-5733	223	4	q̃	q̃	PROPN
ejpam-5733	223	5	hc	hc	NOUN
ejpam-5733	223	6	.	.	PUNCT
ejpam-5733	224	1	proof	proof	NOUN
ejpam-5733	224	2	.	.	PUNCT
ejpam-5733	225	1	(	(	PUNCT
ejpam-5733	225	2	⇒	⇒	NOUN
ejpam-5733	225	3	)	)	PUNCT
ejpam-5733	225	4	let	let	VERB
ejpam-5733	225	5	fa	fa	NOUN
ejpam-5733	225	6	and	and	CCONJ
ejpam-5733	225	7	gb	gb	NOUN
ejpam-5733	225	8	∈	∈	PROPN
ejpam-5733	225	9	(	(	PUNCT
ejpam-5733	225	10	̃u	̃u	PROPN
ejpam-5733	225	11	,	,	PUNCT
ejpam-5733	225	12	e	e	NOUN
ejpam-5733	225	13	)	)	PUNCT
ejpam-5733	225	14	be	be	AUX
ejpam-5733	225	15	an	an	DET
ejpam-5733	225	16	r	r	NOUN
ejpam-5733	225	17	-	-	PUNCT
ejpam-5733	225	18	fuzzy	fuzzy	ADJ
ejpam-5733	225	19	soft	soft	ADJ
ejpam-5733	225	20	δ	δ	NOUN
ejpam-5733	225	21	-	-	PUNCT
ejpam-5733	225	22	separated	separate	VERB
ejpam-5733	225	23	,	,	PUNCT
ejpam-5733	225	24	fa	fa	X
ejpam-5733	225	25	⊑	⊑	X
ejpam-5733	225	26	(	(	PUNCT
ejpam-5733	225	27	δcτ	δcτ	NOUN
ejpam-5733	225	28	(	(	PUNCT
ejpam-5733	225	29	e	e	NOUN
ejpam-5733	225	30	,	,	PUNCT
ejpam-5733	225	31	gb	gb	PRON
ejpam-5733	225	32	,	,	PUNCT
ejpam-5733	225	33	r	r	NOUN
ejpam-5733	225	34	)	)	PUNCT
ejpam-5733	225	35	)	)	PUNCT
ejpam-5733	226	1	c	c	NOUN
ejpam-5733	226	2	=	=	SYM
ejpam-5733	226	3	hc	hc	PROPN
ejpam-5733	226	4	and	and	CCONJ
ejpam-5733	226	5	gb	gb	ADP
ejpam-5733	226	6	⊑	⊑	X
ejpam-5733	226	7	(	(	PUNCT
ejpam-5733	226	8	δcτ	δcτ	NOUN
ejpam-5733	226	9	(	(	PUNCT
ejpam-5733	226	10	e	e	NOUN
ejpam-5733	226	11	,	,	PUNCT
ejpam-5733	226	12	fa	fa	NOUN
ejpam-5733	226	13	,	,	PUNCT
ejpam-5733	226	14	r	r	NOUN
ejpam-5733	226	15	)	)	PUNCT
ejpam-5733	226	16	)	)	PUNCT
ejpam-5733	226	17	c	c	NOUN
ejpam-5733	227	1	=	=	SYM
ejpam-5733	227	2	td	td	NOUN
ejpam-5733	227	3	,	,	PUNCT
ejpam-5733	227	4	where	where	SCONJ
ejpam-5733	227	5	td	td	NOUN
ejpam-5733	227	6	and	and	CCONJ
ejpam-5733	227	7	hc	hc	PROPN
ejpam-5733	227	8	are	be	AUX
ejpam-5733	227	9	r	r	NOUN
ejpam-5733	227	10	-	-	PUNCT
ejpam-5733	227	11	fuzzy	fuzzy	ADJ
ejpam-5733	227	12	soft	soft	ADJ
ejpam-5733	227	13	δ	δ	NOUN
ejpam-5733	227	14	-	-	ADJ
ejpam-5733	227	15	open	open	ADJ
ejpam-5733	227	16	,	,	PUNCT
ejpam-5733	227	17	then	then	ADV
ejpam-5733	227	18	td	td	VERB
ejpam-5733	227	19	̸	̸	PUNCT
ejpam-5733	227	20	q̃	q̃	PROPN
ejpam-5733	227	21	δcτ	δcτ	NOUN
ejpam-5733	227	22	(	(	PUNCT
ejpam-5733	227	23	e	e	NOUN
ejpam-5733	227	24	,	,	PUNCT
ejpam-5733	227	25	fa	fa	NOUN
ejpam-5733	227	26	,	,	PUNCT
ejpam-5733	227	27	r	r	NOUN
ejpam-5733	227	28	)	)	PUNCT
ejpam-5733	227	29	and	and	CCONJ
ejpam-5733	227	30	hc	hc	PROPN
ejpam-5733	227	31	̸	̸	PUNCT
ejpam-5733	227	32	q̃	q̃	PROPN
ejpam-5733	227	33	δcτ	δcτ	NOUN
ejpam-5733	227	34	(	(	PUNCT
ejpam-5733	227	35	e	e	NOUN
ejpam-5733	227	36	,	,	PUNCT
ejpam-5733	227	37	gb	gb	PRON
ejpam-5733	227	38	,	,	PUNCT
ejpam-5733	227	39	r	r	NOUN
ejpam-5733	227	40	)	)	PUNCT
ejpam-5733	227	41	.	.	PUNCT
ejpam-5733	228	1	thus	thus	ADV
ejpam-5733	228	2	,	,	PUNCT
ejpam-5733	228	3	gb	gb	ADP
ejpam-5733	228	4	̸	̸	PUNCT
ejpam-5733	228	5	q̃	q̃	PROPN
ejpam-5733	228	6	hc	hc	PROPN
ejpam-5733	228	7	and	and	CCONJ
ejpam-5733	228	8	fa	fa	PROPN
ejpam-5733	228	9	̸	̸	PUNCT
ejpam-5733	228	10	q̃	q̃	PROPN
ejpam-5733	228	11	td	td	NOUN
ejpam-5733	228	12	.	.	PUNCT
ejpam-5733	229	1	hence	hence	ADV
ejpam-5733	229	2	,	,	PUNCT
ejpam-5733	229	3	we	we	PRON
ejpam-5733	229	4	obtain	obtain	VERB
ejpam-5733	229	5	the	the	DET
ejpam-5733	229	6	required	require	VERB
ejpam-5733	229	7	result	result	NOUN
ejpam-5733	229	8	.	.	PUNCT
ejpam-5733	230	1	(	(	PUNCT
ejpam-5733	230	2	⇐	⇐	ADJ
ejpam-5733	230	3	)	)	PUNCT
ejpam-5733	230	4	let	let	VERB
ejpam-5733	230	5	hc	hc	PRON
ejpam-5733	230	6	and	and	CCONJ
ejpam-5733	230	7	td	td	NOUN
ejpam-5733	230	8	be	be	AUX
ejpam-5733	230	9	an	an	DET
ejpam-5733	230	10	r	r	NOUN
ejpam-5733	230	11	-	-	PUNCT
ejpam-5733	230	12	fuzzy	fuzzy	ADJ
ejpam-5733	230	13	soft	soft	ADJ
ejpam-5733	230	14	δ	δ	NOUN
ejpam-5733	230	15	-	-	ADJ
ejpam-5733	230	16	open	open	ADJ
ejpam-5733	230	17	such	such	ADJ
ejpam-5733	230	18	that	that	PRON
ejpam-5733	230	19	gb	gb	ADP
ejpam-5733	230	20	⊑	⊑	PRON
ejpam-5733	230	21	td	td	PROPN
ejpam-5733	230	22	,	,	PUNCT
ejpam-5733	230	23	fa	fa	X
ejpam-5733	230	24	⊑	⊑	DET
ejpam-5733	230	25	hc	hc	PROPN
ejpam-5733	230	26	,	,	PUNCT
ejpam-5733	230	27	gb	gb	ADP
ejpam-5733	230	28	̸	̸	PUNCT
ejpam-5733	230	29	q̃	q̃	PROPN
ejpam-5733	230	30	hc	hc	PROPN
ejpam-5733	230	31	and	and	CCONJ
ejpam-5733	230	32	fa	fa	PROPN
ejpam-5733	230	33	̸	̸	PUNCT
ejpam-5733	230	34	q̃	q̃	PROPN
ejpam-5733	230	35	td	td	NOUN
ejpam-5733	230	36	.	.	PUNCT
ejpam-5733	231	1	then	then	ADV
ejpam-5733	231	2	,	,	PUNCT
ejpam-5733	231	3	gb	gb	ADP
ejpam-5733	231	4	⊑	⊑	DET
ejpam-5733	231	5	hcc	hcc	PROPN
ejpam-5733	231	6	and	and	CCONJ
ejpam-5733	231	7	fa	fa	PROPN
ejpam-5733	231	8	⊑	⊑	DET
ejpam-5733	231	9	tcd	tcd	PROPN
ejpam-5733	231	10	.	.	PUNCT
ejpam-5733	232	1	hence	hence	ADV
ejpam-5733	232	2	,	,	PUNCT
ejpam-5733	232	3	δcτ	δcτ	NOUN
ejpam-5733	232	4	(	(	PUNCT
ejpam-5733	232	5	e	e	NOUN
ejpam-5733	232	6	,	,	PUNCT
ejpam-5733	232	7	gb	gb	PRON
ejpam-5733	232	8	,	,	PUNCT
ejpam-5733	232	9	r	r	NOUN
ejpam-5733	232	10	)	)	PUNCT
ejpam-5733	232	11	⊑	⊑	PROPN
ejpam-5733	232	12	hcc	hcc	PROPN
ejpam-5733	232	13	and	and	CCONJ
ejpam-5733	232	14	δcτ	δcτ	PROPN
ejpam-5733	232	15	(	(	PUNCT
ejpam-5733	232	16	e	e	NOUN
ejpam-5733	232	17	,	,	PUNCT
ejpam-5733	232	18	fa	fa	NOUN
ejpam-5733	232	19	,	,	PUNCT
ejpam-5733	232	20	r	r	NOUN
ejpam-5733	232	21	)	)	PUNCT
ejpam-5733	232	22	⊑	⊑	PRON
ejpam-5733	232	23	tcd	tcd	PROPN
ejpam-5733	232	24	.	.	PUNCT
ejpam-5733	233	1	then	then	ADV
ejpam-5733	233	2	,	,	PUNCT
ejpam-5733	233	3	δcτ	δcτ	NOUN
ejpam-5733	233	4	(	(	PUNCT
ejpam-5733	233	5	e	e	NOUN
ejpam-5733	233	6	,	,	PUNCT
ejpam-5733	233	7	gb	gb	PRON
ejpam-5733	233	8	,	,	PUNCT
ejpam-5733	233	9	r)̸	r)̸	PROPN
ejpam-5733	233	10	q̃	q̃	PROPN
ejpam-5733	233	11	fa	fa	PROPN
ejpam-5733	233	12	and	and	CCONJ
ejpam-5733	233	13	δcτ	δcτ	NOUN
ejpam-5733	233	14	(	(	PUNCT
ejpam-5733	233	15	e	e	NOUN
ejpam-5733	233	16	,	,	PUNCT
ejpam-5733	233	17	fa	fa	INTJ
ejpam-5733	233	18	,	,	PUNCT
ejpam-5733	233	19	r)̸	r)̸	PROPN
ejpam-5733	233	20	q̃	q̃	PROPN
ejpam-5733	233	21	gb	gb	NOUN
ejpam-5733	233	22	.	.	PUNCT
ejpam-5733	234	1	thus	thus	ADV
ejpam-5733	234	2	,	,	PUNCT
ejpam-5733	234	3	fa	fa	INTJ
ejpam-5733	234	4	and	and	CCONJ
ejpam-5733	234	5	gb	gb	PROPN
ejpam-5733	234	6	are	be	AUX
ejpam-5733	234	7	rfuzzy	rfuzzy	ADJ
ejpam-5733	234	8	soft	soft	ADJ
ejpam-5733	234	9	δseparated	δseparated	ADJ
ejpam-5733	234	10	.	.	PUNCT
ejpam-5733	235	1	hence	hence	ADV
ejpam-5733	235	2	,	,	PUNCT
ejpam-5733	235	3	we	we	PRON
ejpam-5733	235	4	obtain	obtain	VERB
ejpam-5733	235	5	the	the	DET
ejpam-5733	235	6	required	require	VERB
ejpam-5733	235	7	result	result	NOUN
ejpam-5733	235	8	.	.	PUNCT
ejpam-5733	236	1	theorem	theorem	ADJ
ejpam-5733	236	2	6	6	NUM
ejpam-5733	236	3	.	.	PUNCT
ejpam-5733	237	1	in	in	ADP
ejpam-5733	237	2	an	an	DET
ejpam-5733	237	3	fsts	fst	NOUN
ejpam-5733	237	4	(	(	PUNCT
ejpam-5733	237	5	u	u	NOUN
ejpam-5733	237	6	,	,	PUNCT
ejpam-5733	237	7	τe	τe	NOUN
ejpam-5733	237	8	)	)	PUNCT
ejpam-5733	237	9	,	,	PUNCT
ejpam-5733	237	10	if	if	SCONJ
ejpam-5733	237	11	gb	gb	ADV
ejpam-5733	237	12	∈	∈	PROPN
ejpam-5733	237	13	(	(	PUNCT
ejpam-5733	237	14	̃u	̃u	PROPN
ejpam-5733	237	15	,	,	PUNCT
ejpam-5733	237	16	e	e	NOUN
ejpam-5733	237	17	)	)	PUNCT
ejpam-5733	237	18	is	be	AUX
ejpam-5733	237	19	r	r	NOUN
ejpam-5733	237	20	-	-	PUNCT
ejpam-5733	237	21	fuzzy	fuzzy	ADJ
ejpam-5733	237	22	soft	soft	ADJ
ejpam-5733	237	23	δ	δ	NOUN
ejpam-5733	237	24	-	-	PUNCT
ejpam-5733	237	25	connected	connect	VERB
ejpam-5733	237	26	such	such	ADJ
ejpam-5733	237	27	that	that	PRON
ejpam-5733	237	28	gb	gb	ADP
ejpam-5733	237	29	⊑	⊑	PRON
ejpam-5733	237	30	fa	fa	X
ejpam-5733	237	31	⊑	⊑	DET
ejpam-5733	237	32	δcτ	δcτ	PROPN
ejpam-5733	237	33	(	(	PUNCT
ejpam-5733	237	34	e	e	NOUN
ejpam-5733	237	35	,	,	PUNCT
ejpam-5733	237	36	gb	gb	PRON
ejpam-5733	237	37	,	,	PUNCT
ejpam-5733	237	38	r	r	NOUN
ejpam-5733	237	39	)	)	PUNCT
ejpam-5733	237	40	,	,	PUNCT
ejpam-5733	237	41	then	then	ADV
ejpam-5733	237	42	fa	fa	PROPN
ejpam-5733	237	43	is	be	AUX
ejpam-5733	237	44	r	r	NOUN
ejpam-5733	237	45	-	-	PUNCT
ejpam-5733	237	46	fuzzy	fuzzy	ADJ
ejpam-5733	237	47	soft	soft	ADJ
ejpam-5733	237	48	δ	δ	NOUN
ejpam-5733	237	49	-	-	PUNCT
ejpam-5733	237	50	connected	connect	VERB
ejpam-5733	237	51	.	.	PUNCT
ejpam-5733	238	1	proof	proof	NOUN
ejpam-5733	238	2	.	.	PUNCT
ejpam-5733	239	1	suppose	suppose	VERB
ejpam-5733	239	2	that	that	SCONJ
ejpam-5733	239	3	fa	fa	PROPN
ejpam-5733	239	4	is	be	AUX
ejpam-5733	239	5	not	not	PART
ejpam-5733	239	6	r	r	NOUN
ejpam-5733	239	7	-	-	PUNCT
ejpam-5733	239	8	fuzzy	fuzzy	ADJ
ejpam-5733	239	9	soft	soft	ADJ
ejpam-5733	239	10	δ	δ	NOUN
ejpam-5733	239	11	-	-	PUNCT
ejpam-5733	239	12	connected	connect	VERB
ejpam-5733	239	13	,	,	PUNCT
ejpam-5733	239	14	then	then	ADV
ejpam-5733	239	15	there	there	PRON
ejpam-5733	239	16	is	be	VERB
ejpam-5733	239	17	r	r	NOUN
ejpam-5733	239	18	-	-	PUNCT
ejpam-5733	239	19	fuzzy	fuzzy	ADJ
ejpam-5733	239	20	soft	soft	ADJ
ejpam-5733	239	21	δ	δ	NOUN
ejpam-5733	239	22	-	-	PUNCT
ejpam-5733	239	23	separated	separate	VERB
ejpam-5733	239	24	sets	set	NOUN
ejpam-5733	239	25	h∗c	h∗c	VERB
ejpam-5733	239	26	and	and	CCONJ
ejpam-5733	239	27	t∗d	t∗d	PROPN
ejpam-5733	239	28	∈	∈	PROPN
ejpam-5733	239	29	(	(	PUNCT
ejpam-5733	239	30	̃u	̃u	PROPN
ejpam-5733	239	31	,	,	PUNCT
ejpam-5733	239	32	e	e	NOUN
ejpam-5733	239	33	)	)	PUNCT
ejpam-5733	240	1	such	such	ADJ
ejpam-5733	240	2	that	that	PRON
ejpam-5733	240	3	fa	fa	PROPN
ejpam-5733	241	1	=	=	SYM
ejpam-5733	242	1	h∗c	h∗c	X
ejpam-5733	243	1	⊔	⊔	PROPN
ejpam-5733	243	2	t∗d	t∗d	NOUN
ejpam-5733	243	3	.	.	PUNCT
ejpam-5733	244	1	let	let	VERB
ejpam-5733	244	2	hc	hc	VERB
ejpam-5733	244	3	=	=	PUNCT
ejpam-5733	244	4	gb	gb	PROPN
ejpam-5733	244	5	⊓	⊓	PROPN
ejpam-5733	244	6	h∗c	h∗c	PUNCT
ejpam-5733	244	7	and	and	CCONJ
ejpam-5733	244	8	td	td	NOUN
ejpam-5733	244	9	=	=	PUNCT
ejpam-5733	244	10	gb	gb	ADJ
ejpam-5733	244	11	⊓	⊓	PROPN
ejpam-5733	244	12	t∗d	t∗d	NOUN
ejpam-5733	244	13	,	,	PUNCT
ejpam-5733	244	14	then	then	ADV
ejpam-5733	244	15	gb	gb	NOUN
ejpam-5733	244	16	=	=	NOUN
ejpam-5733	244	17	td	td	NOUN
ejpam-5733	244	18	⊔	⊔	PROPN
ejpam-5733	244	19	hc	hc	PROPN
ejpam-5733	244	20	.	.	PUNCT
ejpam-5733	245	1	since	since	SCONJ
ejpam-5733	245	2	hc	hc	PROPN
ejpam-5733	245	3	⊑	⊑	PRON
ejpam-5733	245	4	h∗c	h∗c	PUNCT
ejpam-5733	245	5	and	and	CCONJ
ejpam-5733	245	6	td	td	ADP
ejpam-5733	245	7	⊑	⊑	PRON
ejpam-5733	245	8	t∗d	t∗d	NOUN
ejpam-5733	245	9	,	,	PUNCT
ejpam-5733	245	10	hence	hence	ADV
ejpam-5733	245	11	by	by	ADP
ejpam-5733	245	12	theorem	theorem	ADJ
ejpam-5733	245	13	4(1	4(1	NOUN
ejpam-5733	245	14	)	)	PUNCT
ejpam-5733	245	15	,	,	PUNCT
ejpam-5733	245	16	hc	hc	PROPN
ejpam-5733	245	17	and	and	CCONJ
ejpam-5733	245	18	td	td	NOUN
ejpam-5733	245	19	are	be	AUX
ejpam-5733	245	20	r	r	NOUN
ejpam-5733	245	21	-	-	PUNCT
ejpam-5733	245	22	fuzzy	fuzzy	ADJ
ejpam-5733	245	23	soft	soft	ADJ
ejpam-5733	245	24	δ	δ	NOUN
ejpam-5733	245	25	-	-	PUNCT
ejpam-5733	245	26	separated	separated	ADJ
ejpam-5733	245	27	,	,	PUNCT
ejpam-5733	245	28	it	it	PRON
ejpam-5733	245	29	is	be	AUX
ejpam-5733	245	30	a	a	DET
ejpam-5733	245	31	contradiction	contradiction	NOUN
ejpam-5733	245	32	.	.	PUNCT
ejpam-5733	246	1	thus	thus	ADV
ejpam-5733	246	2	,	,	PUNCT
ejpam-5733	246	3	fa	fa	PROPN
ejpam-5733	246	4	is	be	AUX
ejpam-5733	246	5	r	r	NOUN
ejpam-5733	246	6	-	-	PUNCT
ejpam-5733	246	7	fuzzy	fuzzy	ADJ
ejpam-5733	246	8	soft	soft	ADJ
ejpam-5733	246	9	δ	δ	NOUN
ejpam-5733	246	10	-	-	PUNCT
ejpam-5733	246	11	connected	connect	VERB
ejpam-5733	246	12	,	,	PUNCT
ejpam-5733	246	13	as	as	SCONJ
ejpam-5733	246	14	required	require	VERB
ejpam-5733	246	15	.	.	PUNCT
ejpam-5733	247	1	3	3	X
ejpam-5733	247	2	.	.	X
ejpam-5733	247	3	a	a	DET
ejpam-5733	247	4	decomposition	decomposition	NOUN
ejpam-5733	247	5	of	of	ADP
ejpam-5733	247	6	fuzzy	fuzzy	ADJ
ejpam-5733	247	7	soft	soft	ADJ
ejpam-5733	247	8	semi	semi	NOUN
ejpam-5733	247	9	-	-	NOUN
ejpam-5733	247	10	continuity	continuity	NOUN
ejpam-5733	247	11	here	here	ADV
ejpam-5733	247	12	,	,	PUNCT
ejpam-5733	247	13	we	we	PRON
ejpam-5733	247	14	introduce	introduce	VERB
ejpam-5733	247	15	the	the	DET
ejpam-5733	247	16	concepts	concept	NOUN
ejpam-5733	247	17	of	of	ADP
ejpam-5733	247	18	fuzzy	fuzzy	ADJ
ejpam-5733	247	19	soft	soft	ADJ
ejpam-5733	247	20	δ	δ	NOUN
ejpam-5733	247	21	-	-	ADJ
ejpam-5733	247	22	continuous	continuous	ADJ
ejpam-5733	247	23	(	(	PUNCT
ejpam-5733	247	24	semi	semi	ADJ
ejpam-5733	247	25	-	-	ADJ
ejpam-5733	247	26	continuous	continuous	ADJ
ejpam-5733	247	27	and	and	CCONJ
ejpam-5733	247	28	precontinuous	precontinuous	ADJ
ejpam-5733	247	29	)	)	PUNCT
ejpam-5733	247	30	functions	function	NOUN
ejpam-5733	247	31	,	,	PUNCT
ejpam-5733	247	32	which	which	PRON
ejpam-5733	247	33	are	be	AUX
ejpam-5733	247	34	weaker	weak	ADJ
ejpam-5733	247	35	forms	form	NOUN
ejpam-5733	247	36	of	of	ADP
ejpam-5733	247	37	fuzzy	fuzzy	ADJ
ejpam-5733	247	38	soft	soft	ADJ
ejpam-5733	247	39	continuity	continuity	NOUN
ejpam-5733	247	40	in	in	ADP
ejpam-5733	247	41	an	an	DET
ejpam-5733	247	42	fstss	fstss	NOUN
ejpam-5733	247	43	in	in	ADP
ejpam-5733	247	44	šostaks	šostak	NOUN
ejpam-5733	247	45	sense	sense	NOUN
ejpam-5733	247	46	.	.	PUNCT
ejpam-5733	248	1	also	also	ADV
ejpam-5733	248	2	,	,	PUNCT
ejpam-5733	248	3	we	we	PRON
ejpam-5733	248	4	study	study	VERB
ejpam-5733	248	5	several	several	ADJ
ejpam-5733	248	6	relationships	relationship	NOUN
ejpam-5733	248	7	related	relate	VERB
ejpam-5733	248	8	to	to	ADP
ejpam-5733	248	9	fuzzy	fuzzy	ADJ
ejpam-5733	248	10	soft	soft	ADJ
ejpam-5733	248	11	δ	δ	NOUN
ejpam-5733	248	12	-	-	NOUN
ejpam-5733	248	13	continuity	continuity	NOUN
ejpam-5733	248	14	with	with	ADP
ejpam-5733	248	15	the	the	DET
ejpam-5733	248	16	help	help	NOUN
ejpam-5733	248	17	of	of	ADP
ejpam-5733	248	18	some	some	DET
ejpam-5733	248	19	problems	problem	NOUN
ejpam-5733	248	20	.	.	PUNCT
ejpam-5733	249	1	a	a	DET
ejpam-5733	249	2	decomposition	decomposition	NOUN
ejpam-5733	249	3	of	of	ADP
ejpam-5733	249	4	fuzzy	fuzzy	ADJ
ejpam-5733	249	5	soft	soft	ADJ
ejpam-5733	249	6	semi	semi	ADJ
ejpam-5733	249	7	-	-	ADJ
ejpam-5733	249	8	continuity	continuity	NOUN
ejpam-5733	249	9	is	be	AUX
ejpam-5733	249	10	obtained	obtain	VERB
ejpam-5733	249	11	.	.	PUNCT
ejpam-5733	250	1	i.	i.	PROPN
ejpam-5733	250	2	alshammari	alshammari	PROPN
ejpam-5733	250	3	et	et	PROPN
ejpam-5733	250	4	al	al	PROPN
ejpam-5733	250	5	.	.	PUNCT
ejpam-5733	250	6	/	/	SYM
ejpam-5733	250	7	eur	eur	PROPN
ejpam-5733	250	8	.	.	PUNCT
ejpam-5733	251	1	j.	j.	PROPN
ejpam-5733	251	2	pure	pure	PROPN
ejpam-5733	251	3	appl	appl	PROPN
ejpam-5733	251	4	.	.	PROPN
ejpam-5733	251	5	math	math	PROPN
ejpam-5733	251	6	,	,	PUNCT
ejpam-5733	251	7	18	18	NUM
ejpam-5733	251	8	(	(	PUNCT
ejpam-5733	251	9	1	1	NUM
ejpam-5733	251	10	)	)	PUNCT
ejpam-5733	251	11	(	(	PUNCT
ejpam-5733	251	12	2025	2025	NUM
ejpam-5733	251	13	)	)	PUNCT
ejpam-5733	251	14	,	,	PUNCT
ejpam-5733	251	15	5733	5733	NUM
ejpam-5733	251	16	11	11	NUM
ejpam-5733	251	17	of	of	ADP
ejpam-5733	251	18	21	21	NUM
ejpam-5733	251	19	definition	definition	NOUN
ejpam-5733	251	20	11	11	NUM
ejpam-5733	251	21	.	.	PUNCT
ejpam-5733	252	1	let	let	AUX
ejpam-5733	252	2	(	(	PUNCT
ejpam-5733	252	3	u	u	NOUN
ejpam-5733	252	4	,	,	PUNCT
ejpam-5733	252	5	τe	τe	ADP
ejpam-5733	252	6	)	)	PUNCT
ejpam-5733	252	7	and	and	CCONJ
ejpam-5733	252	8	(	(	PUNCT
ejpam-5733	252	9	v	v	NOUN
ejpam-5733	252	10	,	,	PUNCT
ejpam-5733	252	11	τ∗f	τ∗f	NUM
ejpam-5733	252	12	)	)	PUNCT
ejpam-5733	252	13	be	be	AUX
ejpam-5733	252	14	an	an	DET
ejpam-5733	252	15	fstss	fstss	NOUN
ejpam-5733	252	16	.	.	PUNCT
ejpam-5733	253	1	a	a	DET
ejpam-5733	253	2	fuzzy	fuzzy	ADJ
ejpam-5733	253	3	soft	soft	ADJ
ejpam-5733	253	4	function	function	NOUN
ejpam-5733	253	5	φψ	φψ	NOUN
ejpam-5733	253	6	:	:	PUNCT
ejpam-5733	253	7	(	(	PUNCT
ejpam-5733	253	8	̃u	̃u	PROPN
ejpam-5733	253	9	,	,	PUNCT
ejpam-5733	253	10	e	e	NOUN
ejpam-5733	253	11	)	)	PUNCT
ejpam-5733	253	12	−→	−→	NOUN
ejpam-5733	253	13	(	(	PUNCT
ejpam-5733	253	14	̃v	̃v	NOUN
ejpam-5733	253	15	,	,	PUNCT
ejpam-5733	253	16	f	f	PROPN
ejpam-5733	253	17	)	)	PUNCT
ejpam-5733	253	18	is	be	AUX
ejpam-5733	253	19	said	say	VERB
ejpam-5733	253	20	to	to	PART
ejpam-5733	253	21	be	be	AUX
ejpam-5733	253	22	a	a	DET
ejpam-5733	253	23	fuzzy	fuzzy	ADJ
ejpam-5733	253	24	soft	soft	ADJ
ejpam-5733	253	25	δ	δ	NOUN
ejpam-5733	253	26	-	-	ADJ
ejpam-5733	253	27	continuous	continuous	ADJ
ejpam-5733	253	28	(	(	PUNCT
ejpam-5733	253	29	resp	resp	NOUN
ejpam-5733	253	30	.	.	PUNCT
ejpam-5733	253	31	,	,	PUNCT
ejpam-5733	253	32	β	β	X
ejpam-5733	253	33	-	-	ADJ
ejpam-5733	253	34	continuous	continuous	ADJ
ejpam-5733	253	35	[	[	X
ejpam-5733	253	36	9	9	NUM
ejpam-5733	253	37	]	]	PUNCT
ejpam-5733	253	38	,	,	PUNCT
ejpam-5733	253	39	semi	semi	ADJ
ejpam-5733	253	40	-	-	ADJ
ejpam-5733	253	41	continuous	continuous	ADJ
ejpam-5733	253	42	,	,	PUNCT
ejpam-5733	253	43	pre	pre	ADJ
ejpam-5733	253	44	-	-	ADJ
ejpam-5733	253	45	continuous	continuous	ADJ
ejpam-5733	253	46	,	,	PUNCT
ejpam-5733	253	47	and	and	CCONJ
ejpam-5733	253	48	α	α	X
ejpam-5733	253	49	-	-	ADJ
ejpam-5733	253	50	continuous	continuous	ADJ
ejpam-5733	253	51	[	[	X
ejpam-5733	253	52	8	8	NUM
ejpam-5733	253	53	]	]	PUNCT
ejpam-5733	253	54	)	)	PUNCT
ejpam-5733	253	55	if	if	SCONJ
ejpam-5733	253	56	φ−1	φ−1	PROPN
ejpam-5733	253	57	ψ	ψ	SYM
ejpam-5733	253	58	(	(	PUNCT
ejpam-5733	253	59	gb	gb	NOUN
ejpam-5733	253	60	)	)	PUNCT
ejpam-5733	253	61	is	be	AUX
ejpam-5733	253	62	r	r	NOUN
ejpam-5733	253	63	-	-	PUNCT
ejpam-5733	253	64	fuzzy	fuzzy	ADJ
ejpam-5733	253	65	soft	soft	ADJ
ejpam-5733	253	66	δ	δ	NOUN
ejpam-5733	253	67	-	-	ADJ
ejpam-5733	253	68	open	open	ADJ
ejpam-5733	253	69	(	(	PUNCT
ejpam-5733	253	70	resp	resp	NOUN
ejpam-5733	253	71	.	.	PUNCT
ejpam-5733	253	72	,	,	PUNCT
ejpam-5733	253	73	β	β	X
ejpam-5733	253	74	-	-	ADJ
ejpam-5733	253	75	open	open	ADJ
ejpam-5733	253	76	,	,	PUNCT
ejpam-5733	253	77	semi	semi	ADJ
ejpam-5733	253	78	-	-	ADJ
ejpam-5733	253	79	open	open	ADJ
ejpam-5733	253	80	,	,	PUNCT
ejpam-5733	253	81	pre	pre	ADJ
ejpam-5733	253	82	-	-	ADJ
ejpam-5733	253	83	open	open	ADJ
ejpam-5733	253	84	,	,	PUNCT
ejpam-5733	253	85	and	and	CCONJ
ejpam-5733	253	86	α	α	X
ejpam-5733	253	87	-	-	ADJ
ejpam-5733	253	88	open	open	ADJ
ejpam-5733	253	89	)	)	PUNCT
ejpam-5733	253	90	set	set	VERB
ejpam-5733	253	91	for	for	ADP
ejpam-5733	253	92	every	every	DET
ejpam-5733	253	93	gb	gb	NOUN
ejpam-5733	253	94	∈	∈	PROPN
ejpam-5733	253	95	(	(	PUNCT
ejpam-5733	253	96	̃v	̃v	NOUN
ejpam-5733	253	97	,	,	PUNCT
ejpam-5733	253	98	f	f	PROPN
ejpam-5733	253	99	)	)	PUNCT
ejpam-5733	253	100	with	with	ADP
ejpam-5733	253	101	τ∗k	τ∗k	PUNCT
ejpam-5733	253	102	(	(	PUNCT
ejpam-5733	253	103	gb	gb	NOUN
ejpam-5733	253	104	)	)	PUNCT
ejpam-5733	253	105	≥	≥	NOUN
ejpam-5733	253	106	r	r	NOUN
ejpam-5733	253	107	,	,	PUNCT
ejpam-5733	253	108	e	e	NOUN
ejpam-5733	253	109	∈	∈	PROPN
ejpam-5733	253	110	e	e	PROPN
ejpam-5733	253	111	,	,	PUNCT
ejpam-5733	253	112	(	(	PUNCT
ejpam-5733	253	113	k	k	NOUN
ejpam-5733	253	114	=	=	PUNCT
ejpam-5733	253	115	ψ(e	ψ(e	PROPN
ejpam-5733	253	116	)	)	PUNCT
ejpam-5733	253	117	)	)	PUNCT
ejpam-5733	254	1	∈	∈	PROPN
ejpam-5733	254	2	f	f	X
ejpam-5733	254	3	,	,	PUNCT
ejpam-5733	254	4	and	and	CCONJ
ejpam-5733	254	5	r	r	NOUN
ejpam-5733	254	6	∈	∈	PROPN
ejpam-5733	254	7	io	io	PROPN
ejpam-5733	254	8	.	.	PROPN
ejpam-5733	254	9	remark	remark	PROPN
ejpam-5733	254	10	5	5	NUM
ejpam-5733	254	11	.	.	PUNCT
ejpam-5733	254	12	fuzzy	fuzzy	ADJ
ejpam-5733	254	13	soft	soft	ADJ
ejpam-5733	254	14	δ	δ	NOUN
ejpam-5733	254	15	-	-	PUNCT
ejpam-5733	254	16	continuity	continuity	NOUN
ejpam-5733	254	17	and	and	CCONJ
ejpam-5733	254	18	fuzzy	fuzzy	ADJ
ejpam-5733	254	19	soft	soft	ADJ
ejpam-5733	254	20	β	β	NOUN
ejpam-5733	254	21	-	-	NOUN
ejpam-5733	254	22	continuity	continuity	NOUN
ejpam-5733	254	23	are	be	AUX
ejpam-5733	254	24	independent	independent	ADJ
ejpam-5733	254	25	concepts	concept	NOUN
ejpam-5733	254	26	,	,	PUNCT
ejpam-5733	254	27	as	as	SCONJ
ejpam-5733	254	28	shown	show	VERB
ejpam-5733	254	29	by	by	ADP
ejpam-5733	254	30	examples	example	NOUN
ejpam-5733	254	31	7	7	NUM
ejpam-5733	254	32	and	and	CCONJ
ejpam-5733	254	33	8	8	NUM
ejpam-5733	254	34	.	.	NOUN
ejpam-5733	254	35	example	example	NOUN
ejpam-5733	254	36	7	7	NUM
ejpam-5733	254	37	.	.	PUNCT
ejpam-5733	254	38	let	let	VERB
ejpam-5733	254	39	u	u	PRON
ejpam-5733	254	40	=	=	NOUN
ejpam-5733	254	41	{	{	PUNCT
ejpam-5733	254	42	u1	u1	NOUN
ejpam-5733	254	43	,	,	PUNCT
ejpam-5733	254	44	u2	u2	PROPN
ejpam-5733	254	45	}	}	PUNCT
ejpam-5733	254	46	,	,	PUNCT
ejpam-5733	254	47	e	e	X
ejpam-5733	254	48	=	=	PRON
ejpam-5733	254	49	{	{	PUNCT
ejpam-5733	254	50	e1	e1	PROPN
ejpam-5733	254	51	,	,	PUNCT
ejpam-5733	254	52	e2	e2	PROPN
ejpam-5733	254	53	}	}	PUNCT
ejpam-5733	254	54	,	,	PUNCT
ejpam-5733	254	55	and	and	CCONJ
ejpam-5733	254	56	define	define	VERB
ejpam-5733	254	57	he	he	PRON
ejpam-5733	254	58	,	,	PUNCT
ejpam-5733	254	59	ge	ge	PROPN
ejpam-5733	254	60	,	,	PUNCT
ejpam-5733	254	61	fe	fe	X
ejpam-5733	254	62	∈	∈	PROPN
ejpam-5733	254	63	(	(	PUNCT
ejpam-5733	254	64	̃u	̃u	PROPN
ejpam-5733	254	65	,	,	PUNCT
ejpam-5733	254	66	e	e	NOUN
ejpam-5733	254	67	)	)	PUNCT
ejpam-5733	254	68	as	as	SCONJ
ejpam-5733	254	69	follows	follow	VERB
ejpam-5733	254	70	:	:	PUNCT
ejpam-5733	254	71	he	he	PRON
ejpam-5733	254	72	=	=	PUNCT
ejpam-5733	254	73	{	{	PUNCT
ejpam-5733	254	74	(	(	PUNCT
ejpam-5733	254	75	e1	e1	NOUN
ejpam-5733	254	76	,	,	PUNCT
ejpam-5733	254	77	{	{	PUNCT
ejpam-5733	254	78	u10.4	u10.4	PROPN
ejpam-5733	254	79	,	,	PUNCT
ejpam-5733	254	80	u2	u2	NOUN
ejpam-5733	254	81	0.5	0.5	NUM
ejpam-5733	254	82	}	}	PUNCT
ejpam-5733	254	83	)	)	PUNCT
ejpam-5733	254	84	,	,	PUNCT
ejpam-5733	254	85	(	(	PUNCT
ejpam-5733	254	86	e2	e2	PROPN
ejpam-5733	254	87	,	,	PUNCT
ejpam-5733	254	88	{	{	PUNCT
ejpam-5733	254	89	u1	u1	NOUN
ejpam-5733	254	90	0.4	0.4	NUM
ejpam-5733	254	91	,	,	PUNCT
ejpam-5733	254	92	u2	u2	PROPN
ejpam-5733	254	93	0.5	0.5	NUM
ejpam-5733	254	94	}	}	PUNCT
ejpam-5733	254	95	)	)	PUNCT
ejpam-5733	254	96	}	}	PUNCT
ejpam-5733	254	97	,	,	PUNCT
ejpam-5733	254	98	ge	ge	PROPN
ejpam-5733	254	99	=	=	PRON
ejpam-5733	254	100	{	{	PUNCT
ejpam-5733	254	101	(	(	PUNCT
ejpam-5733	254	102	e1	e1	NOUN
ejpam-5733	254	103	,	,	PUNCT
ejpam-5733	254	104	{	{	PUNCT
ejpam-5733	254	105	u10.2	u10.2	ADV
ejpam-5733	254	106	,	,	PUNCT
ejpam-5733	254	107	u2	u2	PROPN
ejpam-5733	254	108	0.3	0.3	NUM
ejpam-5733	254	109	}	}	PUNCT
ejpam-5733	254	110	)	)	PUNCT
ejpam-5733	254	111	,	,	PUNCT
ejpam-5733	254	112	(	(	PUNCT
ejpam-5733	254	113	e2	e2	PROPN
ejpam-5733	254	114	,	,	PUNCT
ejpam-5733	254	115	{	{	PUNCT
ejpam-5733	254	116	u1	u1	NOUN
ejpam-5733	254	117	0.2	0.2	NUM
ejpam-5733	254	118	,	,	PUNCT
ejpam-5733	254	119	u2	u2	PROPN
ejpam-5733	254	120	0.3	0.3	NUM
ejpam-5733	254	121	}	}	PUNCT
ejpam-5733	254	122	)	)	PUNCT
ejpam-5733	254	123	}	}	PUNCT
ejpam-5733	254	124	,	,	PUNCT
ejpam-5733	254	125	fe	fe	X
ejpam-5733	254	126	=	=	SYM
ejpam-5733	254	127	{	{	PUNCT
ejpam-5733	254	128	(	(	PUNCT
ejpam-5733	254	129	e1	e1	PROPN
ejpam-5733	254	130	,	,	PUNCT
ejpam-5733	254	131	{	{	PUNCT
ejpam-5733	254	132	u10.8	u10.8	PROPN
ejpam-5733	254	133	,	,	PUNCT
ejpam-5733	254	134	u2	u2	NOUN
ejpam-5733	254	135	0.7	0.7	NUM
ejpam-5733	254	136	}	}	PUNCT
ejpam-5733	254	137	)	)	PUNCT
ejpam-5733	254	138	,	,	PUNCT
ejpam-5733	254	139	(	(	PUNCT
ejpam-5733	254	140	e2	e2	PROPN
ejpam-5733	254	141	,	,	PUNCT
ejpam-5733	254	142	{	{	PUNCT
ejpam-5733	254	143	u1	u1	NOUN
ejpam-5733	254	144	0.8	0.8	NUM
ejpam-5733	254	145	,	,	PUNCT
ejpam-5733	254	146	u2	u2	NOUN
ejpam-5733	254	147	0.7	0.7	NUM
ejpam-5733	254	148	}	}	PUNCT
ejpam-5733	254	149	)	)	PUNCT
ejpam-5733	254	150	}	}	PUNCT
ejpam-5733	254	151	.	.	PUNCT
ejpam-5733	255	1	define	define	VERB
ejpam-5733	255	2	fuzzy	fuzzy	ADJ
ejpam-5733	255	3	soft	soft	ADJ
ejpam-5733	255	4	topologies	topology	NOUN
ejpam-5733	255	5	τe	τe	VERB
ejpam-5733	255	6	,	,	PUNCT
ejpam-5733	255	7	τ	τ	PROPN
ejpam-5733	255	8	∗	∗	NOUN
ejpam-5733	255	9	e	e	NOUN
ejpam-5733	255	10	:	:	PUNCT
ejpam-5733	255	11	e	e	X
ejpam-5733	255	12	−→	−→	NOUN
ejpam-5733	255	13	[	[	X
ejpam-5733	255	14	0	0	NUM
ejpam-5733	255	15	,	,	PUNCT
ejpam-5733	255	16	1](̃u	1](̃u	NUM
ejpam-5733	255	17	,	,	PUNCT
ejpam-5733	255	18	e	e	NOUN
ejpam-5733	255	19	)	)	PUNCT
ejpam-5733	255	20	as	as	SCONJ
ejpam-5733	255	21	follows	follow	VERB
ejpam-5733	255	22	:	:	PUNCT
ejpam-5733	255	23	∀e	∀e	PROPN
ejpam-5733	255	24	∈	∈	PROPN
ejpam-5733	255	25	e	e	NOUN
ejpam-5733	255	26	,	,	PUNCT
ejpam-5733	255	27	τe(me	τe(me	NOUN
ejpam-5733	255	28	)	)	PUNCT
ejpam-5733	255	29	=	=	PUNCT
ejpam-5733	255	30			NOUN
ejpam-5733	255	31	1	1	NUM
ejpam-5733	255	32	,	,	PUNCT
ejpam-5733	255	33	if	if	SCONJ
ejpam-5733	255	34	me	i	PRON
ejpam-5733	255	35	∈	∈	PROPN
ejpam-5733	255	36	{	{	PUNCT
ejpam-5733	255	37	φ	φ	NOUN
ejpam-5733	255	38	,	,	PUNCT
ejpam-5733	255	39	ẽ	ẽ	PROPN
ejpam-5733	255	40	}	}	PUNCT
ejpam-5733	255	41	,	,	PUNCT
ejpam-5733	255	42	1	1	NUM
ejpam-5733	255	43	3	3	NUM
ejpam-5733	255	44	,	,	PUNCT
ejpam-5733	255	45	if	if	SCONJ
ejpam-5733	255	46	me	i	PRON
ejpam-5733	255	47	=	=	PUNCT
ejpam-5733	255	48	ge	ge	PROPN
ejpam-5733	255	49	,	,	PUNCT
ejpam-5733	255	50	2	2	NUM
ejpam-5733	255	51	3	3	NUM
ejpam-5733	255	52	,	,	PUNCT
ejpam-5733	255	53	if	if	SCONJ
ejpam-5733	255	54	me	i	PRON
ejpam-5733	255	55	=	=	SYM
ejpam-5733	255	56	fe	fe	X
ejpam-5733	255	57	,	,	PUNCT
ejpam-5733	255	58	0	0	NUM
ejpam-5733	255	59	,	,	PUNCT
ejpam-5733	255	60	otherwise	otherwise	ADV
ejpam-5733	255	61	,	,	PUNCT
ejpam-5733	255	62	τ∗e	τ∗e	PUNCT
ejpam-5733	255	63	(	(	PUNCT
ejpam-5733	255	64	me	i	PRON
ejpam-5733	255	65	)	)	PUNCT
ejpam-5733	255	66	=	=	SYM
ejpam-5733	256	1			NOUN
ejpam-5733	256	2	1	1	NUM
ejpam-5733	256	3	,	,	PUNCT
ejpam-5733	256	4	if	if	SCONJ
ejpam-5733	256	5	me	i	PRON
ejpam-5733	256	6	∈	∈	PROPN
ejpam-5733	256	7	{	{	PUNCT
ejpam-5733	256	8	φ	φ	NOUN
ejpam-5733	256	9	,	,	PUNCT
ejpam-5733	256	10	ẽ	ẽ	PROPN
ejpam-5733	256	11	}	}	PUNCT
ejpam-5733	256	12	,	,	PUNCT
ejpam-5733	256	13	1	1	NUM
ejpam-5733	256	14	3	3	NUM
ejpam-5733	256	15	,	,	PUNCT
ejpam-5733	256	16	if	if	SCONJ
ejpam-5733	256	17	me	i	PRON
ejpam-5733	256	18	=	=	NOUN
ejpam-5733	256	19	he	he	PRON
ejpam-5733	256	20	,	,	PUNCT
ejpam-5733	256	21	0	0	NUM
ejpam-5733	256	22	,	,	PUNCT
ejpam-5733	256	23	otherwise	otherwise	ADV
ejpam-5733	256	24	.	.	PUNCT
ejpam-5733	257	1	thus	thus	ADV
ejpam-5733	257	2	,	,	PUNCT
ejpam-5733	257	3	the	the	DET
ejpam-5733	257	4	identity	identity	NOUN
ejpam-5733	257	5	fuzzy	fuzzy	ADJ
ejpam-5733	257	6	soft	soft	ADJ
ejpam-5733	257	7	function	function	NOUN
ejpam-5733	257	8	φψ	φψ	NOUN
ejpam-5733	257	9	:	:	PUNCT
ejpam-5733	257	10	(	(	PUNCT
ejpam-5733	257	11	u	u	NOUN
ejpam-5733	257	12	,	,	PUNCT
ejpam-5733	257	13	τe	τe	ADJ
ejpam-5733	257	14	)	)	PUNCT
ejpam-5733	257	15	−→	−→	NOUN
ejpam-5733	257	16	(	(	PUNCT
ejpam-5733	257	17	u	u	NOUN
ejpam-5733	257	18	,	,	PUNCT
ejpam-5733	257	19	τ∗e	τ∗e	PUNCT
ejpam-5733	257	20	)	)	PUNCT
ejpam-5733	257	21	is	be	AUX
ejpam-5733	257	22	fuzzy	fuzzy	ADJ
ejpam-5733	257	23	soft	soft	ADJ
ejpam-5733	257	24	β	β	NOUN
ejpam-5733	257	25	-	-	ADJ
ejpam-5733	257	26	continuous	continuous	ADJ
ejpam-5733	257	27	,	,	PUNCT
ejpam-5733	257	28	but	but	CCONJ
ejpam-5733	257	29	it	it	PRON
ejpam-5733	257	30	is	be	AUX
ejpam-5733	257	31	neither	neither	CCONJ
ejpam-5733	257	32	fuzzy	fuzzy	ADJ
ejpam-5733	257	33	soft	soft	ADJ
ejpam-5733	257	34	δ	δ	NOUN
ejpam-5733	257	35	-	-	ADJ
ejpam-5733	257	36	continuous	continuous	ADJ
ejpam-5733	257	37	nor	nor	CCONJ
ejpam-5733	257	38	fuzzy	fuzzy	ADJ
ejpam-5733	257	39	soft	soft	ADJ
ejpam-5733	257	40	semi	semi	ADJ
ejpam-5733	257	41	-	-	ADJ
ejpam-5733	257	42	continuous	continuous	ADJ
ejpam-5733	257	43	.	.	PUNCT
ejpam-5733	257	44	example	example	NOUN
ejpam-5733	257	45	8	8	NUM
ejpam-5733	257	46	.	.	PUNCT
ejpam-5733	258	1	let	let	VERB
ejpam-5733	258	2	u	u	PRON
ejpam-5733	258	3	=	=	NOUN
ejpam-5733	258	4	{	{	PUNCT
ejpam-5733	258	5	u1	u1	NOUN
ejpam-5733	258	6	,	,	PUNCT
ejpam-5733	258	7	u2	u2	NOUN
ejpam-5733	258	8	,	,	PUNCT
ejpam-5733	258	9	u3	u3	NOUN
ejpam-5733	258	10	}	}	PUNCT
ejpam-5733	258	11	,	,	PUNCT
ejpam-5733	258	12	e	e	X
ejpam-5733	258	13	=	=	PRON
ejpam-5733	258	14	{	{	PUNCT
ejpam-5733	258	15	e1	e1	PROPN
ejpam-5733	258	16	,	,	PUNCT
ejpam-5733	258	17	e2	e2	PROPN
ejpam-5733	258	18	}	}	PUNCT
ejpam-5733	258	19	,	,	PUNCT
ejpam-5733	258	20	and	and	CCONJ
ejpam-5733	258	21	define	define	VERB
ejpam-5733	258	22	he	he	PRON
ejpam-5733	258	23	,	,	PUNCT
ejpam-5733	258	24	ge	ge	PROPN
ejpam-5733	258	25	,	,	PUNCT
ejpam-5733	258	26	fe	fe	X
ejpam-5733	258	27	∈	∈	PROPN
ejpam-5733	258	28	(	(	PUNCT
ejpam-5733	258	29	̃u	̃u	PROPN
ejpam-5733	258	30	,	,	PUNCT
ejpam-5733	258	31	e	e	NOUN
ejpam-5733	258	32	)	)	PUNCT
ejpam-5733	258	33	as	as	SCONJ
ejpam-5733	258	34	follows	follow	VERB
ejpam-5733	258	35	:	:	PUNCT
ejpam-5733	258	36	he	he	PRON
ejpam-5733	258	37	=	=	PUNCT
ejpam-5733	258	38	{	{	PUNCT
ejpam-5733	258	39	(	(	PUNCT
ejpam-5733	258	40	e1	e1	PROPN
ejpam-5733	258	41	,	,	PUNCT
ejpam-5733	258	42	{	{	PUNCT
ejpam-5733	258	43	u10	u10	PROPN
ejpam-5733	258	44	,	,	PUNCT
ejpam-5733	258	45	u2	u2	PROPN
ejpam-5733	258	46	1	1	NUM
ejpam-5733	258	47	,	,	PUNCT
ejpam-5733	258	48	u3	u3	NOUN
ejpam-5733	258	49	1	1	NUM
ejpam-5733	258	50	}	}	PUNCT
ejpam-5733	258	51	)	)	PUNCT
ejpam-5733	258	52	,	,	PUNCT
ejpam-5733	258	53	(	(	PUNCT
ejpam-5733	258	54	e2	e2	PROPN
ejpam-5733	258	55	,	,	PUNCT
ejpam-5733	258	56	{	{	PUNCT
ejpam-5733	258	57	u10	u10	PROPN
ejpam-5733	258	58	,	,	PUNCT
ejpam-5733	258	59	u2	u2	PROPN
ejpam-5733	258	60	1	1	NUM
ejpam-5733	258	61	,	,	PUNCT
ejpam-5733	258	62	u3	u3	NOUN
ejpam-5733	258	63	1	1	NUM
ejpam-5733	258	64	}	}	PUNCT
ejpam-5733	258	65	)	)	PUNCT
ejpam-5733	258	66	}	}	PUNCT
ejpam-5733	258	67	,	,	PUNCT
ejpam-5733	258	68	ge	ge	PROPN
ejpam-5733	258	69	=	=	PRON
ejpam-5733	258	70	{	{	PUNCT
ejpam-5733	258	71	(	(	PUNCT
ejpam-5733	258	72	e1	e1	PROPN
ejpam-5733	258	73	,	,	PUNCT
ejpam-5733	258	74	{	{	PUNCT
ejpam-5733	258	75	u10	u10	PROPN
ejpam-5733	258	76	,	,	PUNCT
ejpam-5733	258	77	u2	u2	PROPN
ejpam-5733	258	78	0	0	PUNCT
ejpam-5733	258	79	,	,	PUNCT
ejpam-5733	258	80	u3	u3	NOUN
ejpam-5733	258	81	1	1	NUM
ejpam-5733	258	82	}	}	PUNCT
ejpam-5733	258	83	)	)	PUNCT
ejpam-5733	258	84	,	,	PUNCT
ejpam-5733	258	85	(	(	PUNCT
ejpam-5733	258	86	e2	e2	PROPN
ejpam-5733	258	87	,	,	PUNCT
ejpam-5733	258	88	{	{	PUNCT
ejpam-5733	258	89	u10	u10	PROPN
ejpam-5733	258	90	,	,	PUNCT
ejpam-5733	258	91	u2	u2	PROPN
ejpam-5733	258	92	0	0	PUNCT
ejpam-5733	258	93	,	,	PUNCT
ejpam-5733	258	94	u3	u3	NOUN
ejpam-5733	258	95	1	1	NUM
ejpam-5733	258	96	}	}	PUNCT
ejpam-5733	258	97	)	)	PUNCT
ejpam-5733	258	98	}	}	PUNCT
ejpam-5733	258	99	,	,	PUNCT
ejpam-5733	258	100	fe	fe	X
ejpam-5733	258	101	=	=	SYM
ejpam-5733	258	102	{	{	PUNCT
ejpam-5733	258	103	(	(	PUNCT
ejpam-5733	258	104	e1	e1	PROPN
ejpam-5733	258	105	,	,	PUNCT
ejpam-5733	258	106	{	{	PUNCT
ejpam-5733	258	107	u10	u10	PROPN
ejpam-5733	258	108	,	,	PUNCT
ejpam-5733	258	109	u2	u2	PROPN
ejpam-5733	258	110	1	1	NUM
ejpam-5733	258	111	,	,	PUNCT
ejpam-5733	258	112	u3	u3	NOUN
ejpam-5733	258	113	0	0	NUM
ejpam-5733	258	114	}	}	PUNCT
ejpam-5733	258	115	)	)	PUNCT
ejpam-5733	258	116	,	,	PUNCT
ejpam-5733	258	117	(	(	PUNCT
ejpam-5733	258	118	e2	e2	PROPN
ejpam-5733	258	119	,	,	PUNCT
ejpam-5733	258	120	{	{	PUNCT
ejpam-5733	258	121	u10	u10	PROPN
ejpam-5733	258	122	,	,	PUNCT
ejpam-5733	258	123	u2	u2	PROPN
ejpam-5733	258	124	1	1	NUM
ejpam-5733	258	125	,	,	PUNCT
ejpam-5733	258	126	u3	u3	NOUN
ejpam-5733	258	127	0	0	NUM
ejpam-5733	258	128	}	}	PUNCT
ejpam-5733	258	129	)	)	PUNCT
ejpam-5733	258	130	}	}	PUNCT
ejpam-5733	258	131	.	.	PUNCT
ejpam-5733	259	1	define	define	VERB
ejpam-5733	259	2	fuzzy	fuzzy	ADJ
ejpam-5733	259	3	soft	soft	ADJ
ejpam-5733	259	4	topologies	topology	NOUN
ejpam-5733	259	5	τe	τe	VERB
ejpam-5733	259	6	,	,	PUNCT
ejpam-5733	259	7	τ	τ	PROPN
ejpam-5733	259	8	∗	∗	NOUN
ejpam-5733	259	9	e	e	NOUN
ejpam-5733	259	10	:	:	PUNCT
ejpam-5733	259	11	e	e	X
ejpam-5733	259	12	−→	−→	NOUN
ejpam-5733	259	13	[	[	X
ejpam-5733	259	14	0	0	NUM
ejpam-5733	259	15	,	,	PUNCT
ejpam-5733	259	16	1](̃u	1](̃u	NUM
ejpam-5733	259	17	,	,	PUNCT
ejpam-5733	259	18	e	e	NOUN
ejpam-5733	259	19	)	)	PUNCT
ejpam-5733	259	20	as	as	SCONJ
ejpam-5733	259	21	follows	follow	VERB
ejpam-5733	259	22	:	:	PUNCT
ejpam-5733	259	23	∀e	∀e	PROPN
ejpam-5733	259	24	∈	∈	PROPN
ejpam-5733	259	25	e	e	NOUN
ejpam-5733	259	26	,	,	PUNCT
ejpam-5733	259	27	τe(me	τe(me	NOUN
ejpam-5733	259	28	)	)	PUNCT
ejpam-5733	260	1	=	=	PUNCT
ejpam-5733	261	1			NUM
ejpam-5733	261	2	1	1	NUM
ejpam-5733	261	3	,	,	PUNCT
ejpam-5733	261	4	if	if	SCONJ
ejpam-5733	261	5	me	i	PRON
ejpam-5733	261	6	∈	∈	PROPN
ejpam-5733	261	7	{	{	PUNCT
ejpam-5733	261	8	φ	φ	NOUN
ejpam-5733	261	9	,	,	PUNCT
ejpam-5733	261	10	ẽ	ẽ	PROPN
ejpam-5733	261	11	}	}	PUNCT
ejpam-5733	261	12	,	,	PUNCT
ejpam-5733	261	13	1	1	NUM
ejpam-5733	261	14	4	4	NUM
ejpam-5733	261	15	,	,	PUNCT
ejpam-5733	261	16	if	if	SCONJ
ejpam-5733	261	17	me	i	PRON
ejpam-5733	261	18	=	=	PUNCT
ejpam-5733	261	19	ge	ge	PROPN
ejpam-5733	261	20	,	,	PUNCT
ejpam-5733	261	21	1	1	NUM
ejpam-5733	261	22	2	2	NUM
ejpam-5733	261	23	,	,	PUNCT
ejpam-5733	261	24	if	if	SCONJ
ejpam-5733	261	25	me	i	PRON
ejpam-5733	261	26	=	=	SYM
ejpam-5733	261	27	fe	fe	X
ejpam-5733	261	28	,	,	PUNCT
ejpam-5733	261	29	1	1	NUM
ejpam-5733	261	30	3	3	NUM
ejpam-5733	261	31	,	,	PUNCT
ejpam-5733	261	32	if	if	SCONJ
ejpam-5733	261	33	me	i	PRON
ejpam-5733	261	34	=	=	NOUN
ejpam-5733	261	35	he	he	PRON
ejpam-5733	261	36	,	,	PUNCT
ejpam-5733	261	37	0	0	NUM
ejpam-5733	261	38	,	,	PUNCT
ejpam-5733	261	39	otherwise	otherwise	ADV
ejpam-5733	261	40	,	,	PUNCT
ejpam-5733	261	41	τ∗e	τ∗e	PUNCT
ejpam-5733	261	42	(	(	PUNCT
ejpam-5733	261	43	me	i	PRON
ejpam-5733	261	44	)	)	PUNCT
ejpam-5733	261	45	=	=	SYM
ejpam-5733	262	1			NOUN
ejpam-5733	262	2	1	1	NUM
ejpam-5733	262	3	,	,	PUNCT
ejpam-5733	262	4	if	if	SCONJ
ejpam-5733	262	5	me	i	PRON
ejpam-5733	262	6	∈	∈	PROPN
ejpam-5733	262	7	{	{	PUNCT
ejpam-5733	262	8	φ	φ	NOUN
ejpam-5733	262	9	,	,	PUNCT
ejpam-5733	262	10	ẽ	ẽ	PROPN
ejpam-5733	262	11	}	}	PUNCT
ejpam-5733	262	12	,	,	PUNCT
ejpam-5733	262	13	1	1	NUM
ejpam-5733	262	14	4	4	NUM
ejpam-5733	262	15	,	,	PUNCT
ejpam-5733	262	16	if	if	SCONJ
ejpam-5733	262	17	me	i	PRON
ejpam-5733	262	18	=	=	PUNCT
ejpam-5733	262	19	hce	hce	PROPN
ejpam-5733	262	20	,	,	PUNCT
ejpam-5733	262	21	0	0	NUM
ejpam-5733	262	22	,	,	PUNCT
ejpam-5733	262	23	otherwise	otherwise	ADV
ejpam-5733	262	24	.	.	PUNCT
ejpam-5733	263	1	thus	thus	ADV
ejpam-5733	263	2	,	,	PUNCT
ejpam-5733	263	3	the	the	DET
ejpam-5733	263	4	identity	identity	NOUN
ejpam-5733	263	5	fuzzy	fuzzy	ADJ
ejpam-5733	263	6	soft	soft	ADJ
ejpam-5733	263	7	function	function	NOUN
ejpam-5733	263	8	φψ	φψ	NOUN
ejpam-5733	263	9	:	:	PUNCT
ejpam-5733	263	10	(	(	PUNCT
ejpam-5733	263	11	u	u	NOUN
ejpam-5733	263	12	,	,	PUNCT
ejpam-5733	263	13	τe	τe	ADJ
ejpam-5733	263	14	)	)	PUNCT
ejpam-5733	263	15	−→	−→	NOUN
ejpam-5733	263	16	(	(	PUNCT
ejpam-5733	263	17	u	u	NOUN
ejpam-5733	263	18	,	,	PUNCT
ejpam-5733	263	19	τ∗e	τ∗e	PUNCT
ejpam-5733	263	20	)	)	PUNCT
ejpam-5733	263	21	is	be	AUX
ejpam-5733	263	22	fuzzy	fuzzy	ADJ
ejpam-5733	263	23	soft	soft	ADJ
ejpam-5733	263	24	δ	δ	NOUN
ejpam-5733	263	25	-	-	ADJ
ejpam-5733	263	26	continuous	continuous	ADJ
ejpam-5733	263	27	,	,	PUNCT
ejpam-5733	263	28	but	but	CCONJ
ejpam-5733	263	29	it	it	PRON
ejpam-5733	263	30	is	be	AUX
ejpam-5733	263	31	neither	neither	CCONJ
ejpam-5733	263	32	fuzzy	fuzzy	ADJ
ejpam-5733	263	33	soft	soft	ADJ
ejpam-5733	263	34	β	β	NOUN
ejpam-5733	263	35	-	-	ADJ
ejpam-5733	263	36	continuous	continuous	ADJ
ejpam-5733	263	37	nor	nor	CCONJ
ejpam-5733	263	38	fuzzy	fuzzy	ADJ
ejpam-5733	263	39	soft	soft	ADJ
ejpam-5733	263	40	semi	semi	ADJ
ejpam-5733	263	41	-	-	ADJ
ejpam-5733	263	42	continuous	continuous	ADJ
ejpam-5733	263	43	.	.	PUNCT
ejpam-5733	264	1	now	now	ADV
ejpam-5733	264	2	,	,	PUNCT
ejpam-5733	264	3	we	we	PRON
ejpam-5733	264	4	have	have	VERB
ejpam-5733	264	5	the	the	DET
ejpam-5733	264	6	following	follow	VERB
ejpam-5733	264	7	decomposition	decomposition	NOUN
ejpam-5733	264	8	of	of	ADP
ejpam-5733	264	9	fuzzy	fuzzy	ADJ
ejpam-5733	264	10	soft	soft	ADJ
ejpam-5733	264	11	semi	semi	ADJ
ejpam-5733	264	12	-	-	ADJ
ejpam-5733	264	13	continuity	continuity	NOUN
ejpam-5733	264	14	and	and	CCONJ
ejpam-5733	264	15	decomposition	decomposition	NOUN
ejpam-5733	264	16	of	of	ADP
ejpam-5733	264	17	fuzzy	fuzzy	ADJ
ejpam-5733	264	18	soft	soft	ADJ
ejpam-5733	264	19	α	α	NOUN
ejpam-5733	264	20	-	-	NOUN
ejpam-5733	264	21	continuity	continuity	NOUN
ejpam-5733	264	22	,	,	PUNCT
ejpam-5733	264	23	according	accord	VERB
ejpam-5733	264	24	to	to	ADP
ejpam-5733	264	25	propositions	proposition	NOUN
ejpam-5733	264	26	1	1	NUM
ejpam-5733	264	27	and	and	CCONJ
ejpam-5733	264	28	2	2	NUM
ejpam-5733	264	29	.	.	PUNCT
ejpam-5733	264	30	i.	i.	PROPN
ejpam-5733	264	31	alshammari	alshammari	PROPN
ejpam-5733	264	32	et	et	PROPN
ejpam-5733	264	33	al	al	PROPN
ejpam-5733	264	34	.	.	PUNCT
ejpam-5733	264	35	/	/	SYM
ejpam-5733	264	36	eur	eur	PROPN
ejpam-5733	264	37	.	.	PUNCT
ejpam-5733	265	1	j.	j.	PROPN
ejpam-5733	265	2	pure	pure	PROPN
ejpam-5733	265	3	appl	appl	PROPN
ejpam-5733	265	4	.	.	PROPN
ejpam-5733	265	5	math	math	PROPN
ejpam-5733	265	6	,	,	PUNCT
ejpam-5733	265	7	18	18	NUM
ejpam-5733	265	8	(	(	PUNCT
ejpam-5733	265	9	1	1	NUM
ejpam-5733	265	10	)	)	PUNCT
ejpam-5733	265	11	(	(	PUNCT
ejpam-5733	265	12	2025	2025	NUM
ejpam-5733	265	13	)	)	PUNCT
ejpam-5733	265	14	,	,	PUNCT
ejpam-5733	265	15	5733	5733	NUM
ejpam-5733	265	16	12	12	NUM
ejpam-5733	265	17	of	of	ADP
ejpam-5733	265	18	21	21	NUM
ejpam-5733	265	19	proposition	proposition	NOUN
ejpam-5733	265	20	3	3	NUM
ejpam-5733	265	21	.	.	PUNCT
ejpam-5733	266	1	let	let	AUX
ejpam-5733	266	2	(	(	PUNCT
ejpam-5733	266	3	u	u	NOUN
ejpam-5733	266	4	,	,	PUNCT
ejpam-5733	266	5	τe	τe	ADP
ejpam-5733	266	6	)	)	PUNCT
ejpam-5733	266	7	and	and	CCONJ
ejpam-5733	266	8	(	(	PUNCT
ejpam-5733	266	9	v	v	NOUN
ejpam-5733	266	10	,	,	PUNCT
ejpam-5733	266	11	τ∗f	τ∗f	NUM
ejpam-5733	266	12	)	)	PUNCT
ejpam-5733	266	13	be	be	AUX
ejpam-5733	266	14	an	an	DET
ejpam-5733	266	15	fstss	fstss	NOUN
ejpam-5733	266	16	.	.	PUNCT
ejpam-5733	267	1	φψ	φψ	PUNCT
ejpam-5733	267	2	:	:	PUNCT
ejpam-5733	267	3	(	(	PUNCT
ejpam-5733	267	4	̃u	̃u	PROPN
ejpam-5733	267	5	,	,	PUNCT
ejpam-5733	267	6	e	e	NOUN
ejpam-5733	267	7	)	)	PUNCT
ejpam-5733	267	8	−→	−→	NOUN
ejpam-5733	267	9	(	(	PUNCT
ejpam-5733	267	10	̃v	̃v	NOUN
ejpam-5733	267	11	,	,	PUNCT
ejpam-5733	267	12	f	f	PROPN
ejpam-5733	267	13	)	)	PUNCT
ejpam-5733	267	14	is	be	AUX
ejpam-5733	267	15	fuzzy	fuzzy	ADJ
ejpam-5733	267	16	soft	soft	ADJ
ejpam-5733	267	17	semi	semi	ADJ
ejpam-5733	267	18	-	-	ADJ
ejpam-5733	267	19	continuous	continuous	ADJ
ejpam-5733	267	20	function	function	NOUN
ejpam-5733	267	21	iff	iff	NOUN
ejpam-5733	267	22	it	it	PRON
ejpam-5733	267	23	is	be	AUX
ejpam-5733	267	24	both	both	PRON
ejpam-5733	267	25	fuzzy	fuzzy	ADJ
ejpam-5733	267	26	soft	soft	ADJ
ejpam-5733	267	27	δ	δ	NOUN
ejpam-5733	267	28	-	-	ADJ
ejpam-5733	267	29	continuous	continuous	ADJ
ejpam-5733	267	30	and	and	CCONJ
ejpam-5733	267	31	fuzzy	fuzzy	ADJ
ejpam-5733	267	32	soft	soft	ADJ
ejpam-5733	267	33	β	β	NOUN
ejpam-5733	267	34	-	-	ADJ
ejpam-5733	267	35	continuous	continuous	ADJ
ejpam-5733	267	36	.	.	PUNCT
ejpam-5733	268	1	proof	proof	NOUN
ejpam-5733	268	2	.	.	PUNCT
ejpam-5733	269	1	the	the	DET
ejpam-5733	269	2	proof	proof	NOUN
ejpam-5733	269	3	is	be	AUX
ejpam-5733	269	4	obvious	obvious	ADJ
ejpam-5733	269	5	by	by	ADP
ejpam-5733	269	6	proposition	proposition	NOUN
ejpam-5733	269	7	1	1	NUM
ejpam-5733	269	8	.	.	PUNCT
ejpam-5733	269	9	proposition	proposition	NOUN
ejpam-5733	269	10	4	4	NUM
ejpam-5733	269	11	.	.	PUNCT
ejpam-5733	270	1	let	let	AUX
ejpam-5733	270	2	(	(	PUNCT
ejpam-5733	270	3	u	u	NOUN
ejpam-5733	270	4	,	,	PUNCT
ejpam-5733	270	5	τe	τe	ADP
ejpam-5733	270	6	)	)	PUNCT
ejpam-5733	270	7	and	and	CCONJ
ejpam-5733	270	8	(	(	PUNCT
ejpam-5733	270	9	v	v	NOUN
ejpam-5733	270	10	,	,	PUNCT
ejpam-5733	270	11	τ∗f	τ∗f	NUM
ejpam-5733	270	12	)	)	PUNCT
ejpam-5733	270	13	be	be	AUX
ejpam-5733	270	14	an	an	DET
ejpam-5733	270	15	fstss	fstss	NOUN
ejpam-5733	270	16	.	.	PUNCT
ejpam-5733	271	1	φψ	φψ	PUNCT
ejpam-5733	271	2	:	:	PUNCT
ejpam-5733	271	3	(	(	PUNCT
ejpam-5733	271	4	̃u	̃u	PROPN
ejpam-5733	271	5	,	,	PUNCT
ejpam-5733	271	6	e	e	NOUN
ejpam-5733	271	7	)	)	PUNCT
ejpam-5733	271	8	−→	−→	NOUN
ejpam-5733	271	9	(	(	PUNCT
ejpam-5733	271	10	̃v	̃v	NOUN
ejpam-5733	271	11	,	,	PUNCT
ejpam-5733	271	12	f	f	PROPN
ejpam-5733	271	13	)	)	PUNCT
ejpam-5733	271	14	is	be	AUX
ejpam-5733	271	15	fuzzy	fuzzy	ADJ
ejpam-5733	271	16	soft	soft	ADJ
ejpam-5733	271	17	α	α	PRON
ejpam-5733	271	18	-	-	ADJ
ejpam-5733	271	19	continuous	continuous	ADJ
ejpam-5733	271	20	function	function	NOUN
ejpam-5733	271	21	iff	iff	NOUN
ejpam-5733	271	22	it	it	PRON
ejpam-5733	271	23	is	be	AUX
ejpam-5733	271	24	both	both	PRON
ejpam-5733	271	25	fuzzy	fuzzy	ADJ
ejpam-5733	271	26	soft	soft	ADJ
ejpam-5733	271	27	δ	δ	NOUN
ejpam-5733	271	28	-	-	ADJ
ejpam-5733	271	29	continuous	continuous	ADJ
ejpam-5733	271	30	and	and	CCONJ
ejpam-5733	271	31	fuzzy	fuzzy	ADJ
ejpam-5733	271	32	soft	soft	ADJ
ejpam-5733	271	33	pre	pre	ADJ
ejpam-5733	271	34	-	-	ADJ
ejpam-5733	271	35	continuous	continuous	ADJ
ejpam-5733	271	36	.	.	PUNCT
ejpam-5733	272	1	proof	proof	NOUN
ejpam-5733	272	2	.	.	PUNCT
ejpam-5733	273	1	the	the	DET
ejpam-5733	273	2	proof	proof	NOUN
ejpam-5733	273	3	is	be	AUX
ejpam-5733	273	4	obvious	obvious	ADJ
ejpam-5733	273	5	by	by	ADP
ejpam-5733	273	6	proposition	proposition	NOUN
ejpam-5733	273	7	2	2	NUM
ejpam-5733	273	8	.	.	NOUN
ejpam-5733	273	9	remark	remark	NOUN
ejpam-5733	273	10	6	6	NUM
ejpam-5733	273	11	.	.	PUNCT
ejpam-5733	273	12	from	from	ADP
ejpam-5733	273	13	the	the	DET
ejpam-5733	273	14	previous	previous	ADJ
ejpam-5733	273	15	definitions	definition	NOUN
ejpam-5733	273	16	and	and	CCONJ
ejpam-5733	273	17	results	result	NOUN
ejpam-5733	273	18	,	,	PUNCT
ejpam-5733	273	19	we	we	PRON
ejpam-5733	273	20	can	can	AUX
ejpam-5733	273	21	summarize	summarize	VERB
ejpam-5733	273	22	the	the	DET
ejpam-5733	273	23	relationships	relationship	NOUN
ejpam-5733	273	24	among	among	ADP
ejpam-5733	273	25	different	different	ADJ
ejpam-5733	273	26	types	type	NOUN
ejpam-5733	273	27	of	of	ADP
ejpam-5733	273	28	fuzzy	fuzzy	ADJ
ejpam-5733	273	29	soft	soft	ADJ
ejpam-5733	273	30	continuity	continuity	NOUN
ejpam-5733	273	31	as	as	ADP
ejpam-5733	273	32	in	in	ADP
ejpam-5733	273	33	the	the	DET
ejpam-5733	273	34	next	next	ADJ
ejpam-5733	273	35	diagram	diagram	NOUN
ejpam-5733	273	36	.	.	PUNCT
ejpam-5733	274	1	fuzzy	fuzzy	ADJ
ejpam-5733	274	2	soft	soft	ADJ
ejpam-5733	274	3	continuity	continuity	NOUN
ejpam-5733	274	4	↓	↓	NOUN
ejpam-5733	274	5	fuzzy	fuzzy	ADJ
ejpam-5733	274	6	soft	soft	ADJ
ejpam-5733	274	7	α	α	NOUN
ejpam-5733	274	8	-	-	PUNCT
ejpam-5733	274	9	continuity	continuity	NOUN
ejpam-5733	274	10	↓	↓	NOUN
ejpam-5733	274	11	↓	↓	NOUN
ejpam-5733	274	12	fuzzy	fuzzy	PROPN
ejpam-5733	274	13	soft	soft	ADJ
ejpam-5733	274	14	pre	pre	ADJ
ejpam-5733	274	15	-	-	ADJ
ejpam-5733	274	16	continuity	continuity	ADJ
ejpam-5733	274	17	↮	↮	NOUN
ejpam-5733	274	18	fuzzy	fuzzy	ADJ
ejpam-5733	274	19	soft	soft	ADJ
ejpam-5733	274	20	semi	semi	ADJ
ejpam-5733	274	21	-	-	NOUN
ejpam-5733	274	22	continuity	continuity	ADJ
ejpam-5733	274	23	→	→	SYM
ejpam-5733	274	24	fuzzy	fuzzy	ADJ
ejpam-5733	274	25	soft	soft	ADJ
ejpam-5733	274	26	δ	δ	NOUN
ejpam-5733	274	27	-	-	PUNCT
ejpam-5733	274	28	continuity	continuity	NOUN
ejpam-5733	274	29	↓	↓	NOUN
ejpam-5733	274	30	↓	↓	NOUN
ejpam-5733	274	31	fuzzy	fuzzy	PROPN
ejpam-5733	274	32	soft	soft	ADJ
ejpam-5733	274	33	β	β	NOUN
ejpam-5733	274	34	-	-	ADJ
ejpam-5733	274	35	continuity	continuity	NOUN
ejpam-5733	274	36	remark	remark	NOUN
ejpam-5733	274	37	7	7	NUM
ejpam-5733	274	38	.	.	PUNCT
ejpam-5733	275	1	in	in	ADP
ejpam-5733	275	2	general	general	ADJ
ejpam-5733	275	3	,	,	PUNCT
ejpam-5733	275	4	the	the	DET
ejpam-5733	275	5	converses	converse	NOUN
ejpam-5733	275	6	of	of	ADP
ejpam-5733	275	7	the	the	DET
ejpam-5733	275	8	above	above	ADJ
ejpam-5733	275	9	relationships	relationship	NOUN
ejpam-5733	275	10	are	be	AUX
ejpam-5733	275	11	not	not	PART
ejpam-5733	275	12	true	true	ADJ
ejpam-5733	275	13	,	,	PUNCT
ejpam-5733	275	14	as	as	SCONJ
ejpam-5733	275	15	shown	show	VERB
ejpam-5733	275	16	by	by	ADP
ejpam-5733	275	17	examples	example	NOUN
ejpam-5733	275	18	7	7	NUM
ejpam-5733	275	19	,	,	PUNCT
ejpam-5733	275	20	8	8	NUM
ejpam-5733	275	21	,	,	PUNCT
ejpam-5733	275	22	9	9	NUM
ejpam-5733	275	23	,	,	PUNCT
ejpam-5733	275	24	10	10	NUM
ejpam-5733	275	25	,	,	PUNCT
ejpam-5733	275	26	and	and	CCONJ
ejpam-5733	275	27	11	11	NUM
ejpam-5733	275	28	.	.	PUNCT
ejpam-5733	275	29	example	example	NOUN
ejpam-5733	276	1	9	9	NUM
ejpam-5733	276	2	.	.	PUNCT
ejpam-5733	277	1	let	let	VERB
ejpam-5733	277	2	u	u	PRON
ejpam-5733	277	3	=	=	NOUN
ejpam-5733	277	4	{	{	PUNCT
ejpam-5733	277	5	u1	u1	NOUN
ejpam-5733	277	6	,	,	PUNCT
ejpam-5733	277	7	u2	u2	PROPN
ejpam-5733	277	8	}	}	PUNCT
ejpam-5733	277	9	,	,	PUNCT
ejpam-5733	277	10	e	e	X
ejpam-5733	277	11	=	=	PRON
ejpam-5733	277	12	{	{	PUNCT
ejpam-5733	277	13	e1	e1	PROPN
ejpam-5733	277	14	,	,	PUNCT
ejpam-5733	277	15	e2	e2	PROPN
ejpam-5733	277	16	}	}	PUNCT
ejpam-5733	277	17	,	,	PUNCT
ejpam-5733	277	18	and	and	CCONJ
ejpam-5733	277	19	define	define	VERB
ejpam-5733	277	20	ge	ge	PROPN
ejpam-5733	277	21	,	,	PUNCT
ejpam-5733	277	22	fe	fe	X
ejpam-5733	277	23	,	,	PUNCT
ejpam-5733	277	24	he	he	PRON
ejpam-5733	277	25	∈	∈	PROPN
ejpam-5733	277	26	(	(	PUNCT
ejpam-5733	277	27	̃u	̃u	PROPN
ejpam-5733	277	28	,	,	PUNCT
ejpam-5733	277	29	e	e	NOUN
ejpam-5733	277	30	)	)	PUNCT
ejpam-5733	277	31	as	as	SCONJ
ejpam-5733	277	32	follows	follow	VERB
ejpam-5733	277	33	:	:	PUNCT
ejpam-5733	277	34	ge	ge	PROPN
ejpam-5733	277	35	=	=	PRON
ejpam-5733	277	36	{	{	PUNCT
ejpam-5733	277	37	(	(	PUNCT
ejpam-5733	277	38	e1	e1	NOUN
ejpam-5733	277	39	,	,	PUNCT
ejpam-5733	277	40	{	{	PUNCT
ejpam-5733	277	41	u10.3	u10.3	PROPN
ejpam-5733	277	42	,	,	PUNCT
ejpam-5733	277	43	u2	u2	PROPN
ejpam-5733	277	44	0.4	0.4	NUM
ejpam-5733	277	45	}	}	PUNCT
ejpam-5733	277	46	)	)	PUNCT
ejpam-5733	277	47	,	,	PUNCT
ejpam-5733	277	48	(	(	PUNCT
ejpam-5733	277	49	e2	e2	PROPN
ejpam-5733	277	50	,	,	PUNCT
ejpam-5733	277	51	{	{	PUNCT
ejpam-5733	277	52	u1	u1	NOUN
ejpam-5733	277	53	0.3	0.3	NUM
ejpam-5733	277	54	,	,	PUNCT
ejpam-5733	277	55	u2	u2	PROPN
ejpam-5733	277	56	0.4	0.4	NUM
ejpam-5733	277	57	}	}	PUNCT
ejpam-5733	277	58	)	)	PUNCT
ejpam-5733	277	59	}	}	PUNCT
ejpam-5733	277	60	,	,	PUNCT
ejpam-5733	277	61	fe	fe	X
ejpam-5733	277	62	=	=	SYM
ejpam-5733	277	63	{	{	PUNCT
ejpam-5733	277	64	(	(	PUNCT
ejpam-5733	277	65	e1	e1	NOUN
ejpam-5733	277	66	,	,	PUNCT
ejpam-5733	277	67	{	{	PUNCT
ejpam-5733	277	68	u10.6	u10.6	NUM
ejpam-5733	277	69	,	,	PUNCT
ejpam-5733	277	70	u2	u2	PROPN
ejpam-5733	277	71	0.2	0.2	NUM
ejpam-5733	277	72	}	}	PUNCT
ejpam-5733	277	73	)	)	PUNCT
ejpam-5733	277	74	,	,	PUNCT
ejpam-5733	277	75	(	(	PUNCT
ejpam-5733	277	76	e2	e2	PROPN
ejpam-5733	277	77	,	,	PUNCT
ejpam-5733	277	78	{	{	PUNCT
ejpam-5733	277	79	u1	u1	NOUN
ejpam-5733	277	80	0.6	0.6	NUM
ejpam-5733	277	81	,	,	PUNCT
ejpam-5733	277	82	u2	u2	PROPN
ejpam-5733	277	83	0.2	0.2	NUM
ejpam-5733	277	84	}	}	PUNCT
ejpam-5733	277	85	)	)	PUNCT
ejpam-5733	277	86	}	}	PUNCT
ejpam-5733	277	87	,	,	PUNCT
ejpam-5733	277	88	he	he	PRON
ejpam-5733	277	89	=	=	PUNCT
ejpam-5733	277	90	{	{	PUNCT
ejpam-5733	277	91	(	(	PUNCT
ejpam-5733	277	92	e1	e1	NOUN
ejpam-5733	277	93	,	,	PUNCT
ejpam-5733	277	94	{	{	PUNCT
ejpam-5733	277	95	u10.7	u10.7	PROPN
ejpam-5733	277	96	,	,	PUNCT
ejpam-5733	277	97	u2	u2	NOUN
ejpam-5733	277	98	0.5	0.5	NUM
ejpam-5733	277	99	}	}	PUNCT
ejpam-5733	277	100	)	)	PUNCT
ejpam-5733	277	101	,	,	PUNCT
ejpam-5733	277	102	(	(	PUNCT
ejpam-5733	277	103	e2	e2	PROPN
ejpam-5733	277	104	,	,	PUNCT
ejpam-5733	277	105	{	{	PUNCT
ejpam-5733	277	106	u1	u1	NOUN
ejpam-5733	277	107	0.7	0.7	NUM
ejpam-5733	277	108	,	,	PUNCT
ejpam-5733	277	109	u2	u2	PROPN
ejpam-5733	277	110	0.5	0.5	NUM
ejpam-5733	277	111	}	}	PUNCT
ejpam-5733	277	112	)	)	PUNCT
ejpam-5733	277	113	}	}	PUNCT
ejpam-5733	277	114	.	.	PUNCT
ejpam-5733	278	1	define	define	VERB
ejpam-5733	278	2	fuzzy	fuzzy	ADJ
ejpam-5733	278	3	soft	soft	ADJ
ejpam-5733	278	4	topologies	topology	NOUN
ejpam-5733	278	5	τe	τe	VERB
ejpam-5733	278	6	,	,	PUNCT
ejpam-5733	278	7	τ	τ	PROPN
ejpam-5733	278	8	∗	∗	NOUN
ejpam-5733	278	9	e	e	NOUN
ejpam-5733	278	10	:	:	PUNCT
ejpam-5733	278	11	e	e	X
ejpam-5733	278	12	−→	−→	NOUN
ejpam-5733	278	13	[	[	X
ejpam-5733	278	14	0	0	NUM
ejpam-5733	278	15	,	,	PUNCT
ejpam-5733	278	16	1](̃u	1](̃u	NUM
ejpam-5733	278	17	,	,	PUNCT
ejpam-5733	278	18	e	e	NOUN
ejpam-5733	278	19	)	)	PUNCT
ejpam-5733	278	20	as	as	SCONJ
ejpam-5733	278	21	follows	follow	VERB
ejpam-5733	278	22	:	:	PUNCT
ejpam-5733	278	23	∀e	∀e	PROPN
ejpam-5733	278	24	∈	∈	PROPN
ejpam-5733	278	25	e	e	NOUN
ejpam-5733	278	26	,	,	PUNCT
ejpam-5733	278	27	τe(me	τe(me	NOUN
ejpam-5733	278	28	)	)	PUNCT
ejpam-5733	279	1	=	=	PUNCT
ejpam-5733	279	2			NUM
ejpam-5733	279	3	1	1	NUM
ejpam-5733	279	4	,	,	PUNCT
ejpam-5733	279	5	if	if	SCONJ
ejpam-5733	279	6	me	i	PRON
ejpam-5733	279	7	∈	∈	PROPN
ejpam-5733	279	8	{	{	PUNCT
ejpam-5733	279	9	φ	φ	NOUN
ejpam-5733	279	10	,	,	PUNCT
ejpam-5733	279	11	ẽ	ẽ	PROPN
ejpam-5733	279	12	}	}	PUNCT
ejpam-5733	279	13	,	,	PUNCT
ejpam-5733	279	14	1	1	NUM
ejpam-5733	279	15	2	2	NUM
ejpam-5733	279	16	,	,	PUNCT
ejpam-5733	279	17	if	if	SCONJ
ejpam-5733	279	18	me	i	PRON
ejpam-5733	279	19	=	=	PUNCT
ejpam-5733	279	20	ge	ge	PROPN
ejpam-5733	279	21	,	,	PUNCT
ejpam-5733	279	22	2	2	NUM
ejpam-5733	279	23	3	3	NUM
ejpam-5733	279	24	,	,	PUNCT
ejpam-5733	279	25	if	if	SCONJ
ejpam-5733	279	26	me	i	PRON
ejpam-5733	279	27	=	=	SYM
ejpam-5733	279	28	fe	fe	X
ejpam-5733	279	29	,	,	PUNCT
ejpam-5733	279	30	2	2	NUM
ejpam-5733	279	31	3	3	NUM
ejpam-5733	279	32	,	,	PUNCT
ejpam-5733	279	33	if	if	SCONJ
ejpam-5733	279	34	me	i	PRON
ejpam-5733	279	35	=	=	PUNCT
ejpam-5733	279	36	ge	ge	PROPN
ejpam-5733	279	37	⊓	⊓	PROPN
ejpam-5733	279	38	fe	fe	X
ejpam-5733	279	39	,	,	PUNCT
ejpam-5733	279	40	1	1	NUM
ejpam-5733	279	41	2	2	NUM
ejpam-5733	279	42	,	,	PUNCT
ejpam-5733	279	43	if	if	SCONJ
ejpam-5733	279	44	me	i	PRON
ejpam-5733	279	45	=	=	PUNCT
ejpam-5733	279	46	ge	ge	PROPN
ejpam-5733	279	47	⊔	⊔	PROPN
ejpam-5733	279	48	fe	fe	PROPN
ejpam-5733	279	49	,	,	PUNCT
ejpam-5733	279	50	0	0	NUM
ejpam-5733	279	51	,	,	PUNCT
ejpam-5733	279	52	otherwise	otherwise	ADV
ejpam-5733	279	53	,	,	PUNCT
ejpam-5733	279	54	τ∗e	τ∗e	PUNCT
ejpam-5733	279	55	(	(	PUNCT
ejpam-5733	279	56	me	i	PRON
ejpam-5733	279	57	)	)	PUNCT
ejpam-5733	279	58	=	=	SYM
ejpam-5733	280	1			NOUN
ejpam-5733	280	2	1	1	NUM
ejpam-5733	280	3	,	,	PUNCT
ejpam-5733	280	4	if	if	SCONJ
ejpam-5733	280	5	me	i	PRON
ejpam-5733	280	6	∈	∈	PROPN
ejpam-5733	280	7	{	{	PUNCT
ejpam-5733	280	8	φ	φ	NOUN
ejpam-5733	280	9	,	,	PUNCT
ejpam-5733	280	10	ẽ	ẽ	PROPN
ejpam-5733	280	11	}	}	PUNCT
ejpam-5733	280	12	,	,	PUNCT
ejpam-5733	280	13	1	1	NUM
ejpam-5733	280	14	3	3	NUM
ejpam-5733	280	15	,	,	PUNCT
ejpam-5733	280	16	if	if	SCONJ
ejpam-5733	280	17	me	i	PRON
ejpam-5733	280	18	=	=	NOUN
ejpam-5733	280	19	he	he	PRON
ejpam-5733	280	20	,	,	PUNCT
ejpam-5733	280	21	0	0	NUM
ejpam-5733	280	22	,	,	PUNCT
ejpam-5733	280	23	otherwise	otherwise	ADV
ejpam-5733	280	24	.	.	PUNCT
ejpam-5733	281	1	thus	thus	ADV
ejpam-5733	281	2	,	,	PUNCT
ejpam-5733	281	3	the	the	DET
ejpam-5733	281	4	identity	identity	NOUN
ejpam-5733	281	5	fuzzy	fuzzy	ADJ
ejpam-5733	281	6	soft	soft	ADJ
ejpam-5733	281	7	function	function	NOUN
ejpam-5733	281	8	φψ	φψ	NOUN
ejpam-5733	281	9	:	:	PUNCT
ejpam-5733	281	10	(	(	PUNCT
ejpam-5733	281	11	u	u	NOUN
ejpam-5733	281	12	,	,	PUNCT
ejpam-5733	281	13	τe	τe	ADJ
ejpam-5733	281	14	)	)	PUNCT
ejpam-5733	281	15	−→	−→	NOUN
ejpam-5733	281	16	(	(	PUNCT
ejpam-5733	281	17	u	u	NOUN
ejpam-5733	281	18	,	,	PUNCT
ejpam-5733	281	19	τ∗e	τ∗e	PUNCT
ejpam-5733	281	20	)	)	PUNCT
ejpam-5733	281	21	is	be	AUX
ejpam-5733	281	22	fuzzy	fuzzy	ADJ
ejpam-5733	281	23	soft	soft	ADJ
ejpam-5733	281	24	semicontinuous	semicontinuous	NOUN
ejpam-5733	281	25	,	,	PUNCT
ejpam-5733	281	26	but	but	CCONJ
ejpam-5733	281	27	it	it	PRON
ejpam-5733	281	28	is	be	AUX
ejpam-5733	281	29	neither	neither	CCONJ
ejpam-5733	281	30	fuzzy	fuzzy	ADJ
ejpam-5733	281	31	soft	soft	ADJ
ejpam-5733	281	32	α	α	NOUN
ejpam-5733	281	33	-	-	ADJ
ejpam-5733	281	34	continuous	continuous	ADJ
ejpam-5733	281	35	nor	nor	CCONJ
ejpam-5733	281	36	fuzzy	fuzzy	ADJ
ejpam-5733	281	37	soft	soft	ADJ
ejpam-5733	281	38	pre	pre	ADJ
ejpam-5733	281	39	-	-	ADJ
ejpam-5733	281	40	continuous	continuous	ADJ
ejpam-5733	281	41	.	.	PUNCT
ejpam-5733	281	42	i.	i.	PROPN
ejpam-5733	281	43	alshammari	alshammari	PROPN
ejpam-5733	281	44	et	et	PROPN
ejpam-5733	281	45	al	al	PROPN
ejpam-5733	281	46	.	.	PUNCT
ejpam-5733	281	47	/	/	SYM
ejpam-5733	281	48	eur	eur	PROPN
ejpam-5733	281	49	.	.	PUNCT
ejpam-5733	282	1	j.	j.	PROPN
ejpam-5733	282	2	pure	pure	PROPN
ejpam-5733	282	3	appl	appl	PROPN
ejpam-5733	282	4	.	.	PROPN
ejpam-5733	282	5	math	math	PROPN
ejpam-5733	282	6	,	,	PUNCT
ejpam-5733	282	7	18	18	NUM
ejpam-5733	282	8	(	(	PUNCT
ejpam-5733	282	9	1	1	NUM
ejpam-5733	282	10	)	)	PUNCT
ejpam-5733	282	11	(	(	PUNCT
ejpam-5733	282	12	2025	2025	NUM
ejpam-5733	282	13	)	)	PUNCT
ejpam-5733	282	14	,	,	PUNCT
ejpam-5733	282	15	5733	5733	NUM
ejpam-5733	282	16	13	13	NUM
ejpam-5733	282	17	of	of	ADP
ejpam-5733	282	18	21	21	NUM
ejpam-5733	282	19	example	example	NOUN
ejpam-5733	282	20	10	10	NUM
ejpam-5733	282	21	.	.	PUNCT
ejpam-5733	283	1	let	let	VERB
ejpam-5733	283	2	u	u	PRON
ejpam-5733	283	3	=	=	NOUN
ejpam-5733	283	4	{	{	PUNCT
ejpam-5733	283	5	u1	u1	NOUN
ejpam-5733	283	6	,	,	PUNCT
ejpam-5733	283	7	u2	u2	NOUN
ejpam-5733	283	8	,	,	PUNCT
ejpam-5733	283	9	u3	u3	NOUN
ejpam-5733	283	10	}	}	PUNCT
ejpam-5733	283	11	,	,	PUNCT
ejpam-5733	283	12	e	e	X
ejpam-5733	283	13	=	=	PRON
ejpam-5733	283	14	{	{	PUNCT
ejpam-5733	283	15	e1	e1	PROPN
ejpam-5733	283	16	,	,	PUNCT
ejpam-5733	283	17	e2	e2	PROPN
ejpam-5733	283	18	}	}	PUNCT
ejpam-5733	283	19	,	,	PUNCT
ejpam-5733	283	20	and	and	CCONJ
ejpam-5733	283	21	define	define	VERB
ejpam-5733	283	22	ge	ge	PROPN
ejpam-5733	283	23	,	,	PUNCT
ejpam-5733	283	24	fe	fe	X
ejpam-5733	283	25	∈	∈	PROPN
ejpam-5733	283	26	(	(	PUNCT
ejpam-5733	283	27	̃u	̃u	PROPN
ejpam-5733	283	28	,	,	PUNCT
ejpam-5733	283	29	e	e	NOUN
ejpam-5733	283	30	)	)	PUNCT
ejpam-5733	283	31	as	as	SCONJ
ejpam-5733	283	32	follows	follow	VERB
ejpam-5733	283	33	:	:	PUNCT
ejpam-5733	283	34	ge	ge	PROPN
ejpam-5733	283	35	=	=	PRON
ejpam-5733	283	36	{	{	PUNCT
ejpam-5733	283	37	(	(	PUNCT
ejpam-5733	283	38	e1	e1	NOUN
ejpam-5733	283	39	,	,	PUNCT
ejpam-5733	283	40	{	{	PUNCT
ejpam-5733	283	41	u10.2	u10.2	ADV
ejpam-5733	283	42	,	,	PUNCT
ejpam-5733	283	43	u2	u2	PROPN
ejpam-5733	283	44	0.3	0.3	NUM
ejpam-5733	283	45	,	,	PUNCT
ejpam-5733	283	46	u3	u3	NOUN
ejpam-5733	283	47	0.2	0.2	NUM
ejpam-5733	283	48	}	}	PUNCT
ejpam-5733	283	49	)	)	PUNCT
ejpam-5733	283	50	,	,	PUNCT
ejpam-5733	283	51	(	(	PUNCT
ejpam-5733	283	52	e2	e2	PROPN
ejpam-5733	283	53	,	,	PUNCT
ejpam-5733	283	54	{	{	PUNCT
ejpam-5733	283	55	u1	u1	NOUN
ejpam-5733	283	56	0.2	0.2	NUM
ejpam-5733	283	57	,	,	PUNCT
ejpam-5733	283	58	u2	u2	PROPN
ejpam-5733	283	59	0.3	0.3	NUM
ejpam-5733	283	60	,	,	PUNCT
ejpam-5733	283	61	u3	u3	NOUN
ejpam-5733	283	62	0.2	0.2	NUM
ejpam-5733	283	63	}	}	PUNCT
ejpam-5733	283	64	)	)	PUNCT
ejpam-5733	283	65	}	}	PUNCT
ejpam-5733	283	66	,	,	PUNCT
ejpam-5733	283	67	fe	fe	X
ejpam-5733	283	68	=	=	SYM
ejpam-5733	283	69	{	{	PUNCT
ejpam-5733	283	70	(	(	PUNCT
ejpam-5733	283	71	e1	e1	NOUN
ejpam-5733	283	72	,	,	PUNCT
ejpam-5733	283	73	{	{	PUNCT
ejpam-5733	283	74	u10.3	u10.3	PROPN
ejpam-5733	283	75	,	,	PUNCT
ejpam-5733	283	76	u2	u2	PROPN
ejpam-5733	283	77	0.4	0.4	NUM
ejpam-5733	283	78	,	,	PUNCT
ejpam-5733	283	79	u3	u3	NOUN
ejpam-5733	283	80	0.8	0.8	NUM
ejpam-5733	283	81	}	}	PUNCT
ejpam-5733	283	82	)	)	PUNCT
ejpam-5733	283	83	,	,	PUNCT
ejpam-5733	283	84	(	(	PUNCT
ejpam-5733	283	85	e2	e2	PROPN
ejpam-5733	283	86	,	,	PUNCT
ejpam-5733	283	87	{	{	PUNCT
ejpam-5733	283	88	u1	u1	NOUN
ejpam-5733	283	89	0.3	0.3	NUM
ejpam-5733	283	90	,	,	PUNCT
ejpam-5733	283	91	u2	u2	PROPN
ejpam-5733	283	92	0.4	0.4	NUM
ejpam-5733	283	93	,	,	PUNCT
ejpam-5733	283	94	u3	u3	NOUN
ejpam-5733	283	95	0.8	0.8	NUM
ejpam-5733	283	96	}	}	PUNCT
ejpam-5733	283	97	)	)	PUNCT
ejpam-5733	283	98	}	}	PUNCT
ejpam-5733	283	99	.	.	PUNCT
ejpam-5733	284	1	define	define	VERB
ejpam-5733	284	2	fuzzy	fuzzy	ADJ
ejpam-5733	284	3	soft	soft	ADJ
ejpam-5733	284	4	topologies	topology	NOUN
ejpam-5733	284	5	τe	τe	VERB
ejpam-5733	284	6	,	,	PUNCT
ejpam-5733	284	7	τ	τ	PROPN
ejpam-5733	284	8	∗	∗	NOUN
ejpam-5733	284	9	e	e	NOUN
ejpam-5733	284	10	:	:	PUNCT
ejpam-5733	284	11	e	e	X
ejpam-5733	284	12	−→	−→	NOUN
ejpam-5733	284	13	[	[	X
ejpam-5733	284	14	0	0	NUM
ejpam-5733	284	15	,	,	PUNCT
ejpam-5733	284	16	1](̃u	1](̃u	NUM
ejpam-5733	284	17	,	,	PUNCT
ejpam-5733	284	18	e	e	NOUN
ejpam-5733	284	19	)	)	PUNCT
ejpam-5733	284	20	as	as	SCONJ
ejpam-5733	284	21	follows	follow	VERB
ejpam-5733	284	22	:	:	PUNCT
ejpam-5733	284	23	∀e	∀e	PROPN
ejpam-5733	284	24	∈	∈	PROPN
ejpam-5733	284	25	e	e	NOUN
ejpam-5733	284	26	,	,	PUNCT
ejpam-5733	284	27	τe(me	τe(me	NOUN
ejpam-5733	284	28	)	)	PUNCT
ejpam-5733	285	1	=	=	PUNCT
ejpam-5733	285	2			NOUN
ejpam-5733	285	3	1	1	NUM
ejpam-5733	285	4	,	,	PUNCT
ejpam-5733	285	5	if	if	SCONJ
ejpam-5733	285	6	me	i	PRON
ejpam-5733	285	7	∈	∈	PROPN
ejpam-5733	285	8	{	{	PUNCT
ejpam-5733	285	9	φ	φ	NOUN
ejpam-5733	285	10	,	,	PUNCT
ejpam-5733	285	11	ẽ	ẽ	PROPN
ejpam-5733	285	12	}	}	PUNCT
ejpam-5733	285	13	,	,	PUNCT
ejpam-5733	285	14	1	1	NUM
ejpam-5733	285	15	2	2	NUM
ejpam-5733	285	16	,	,	PUNCT
ejpam-5733	285	17	if	if	SCONJ
ejpam-5733	285	18	me	i	PRON
ejpam-5733	285	19	=	=	PUNCT
ejpam-5733	285	20	ge	ge	PROPN
ejpam-5733	285	21	,	,	PUNCT
ejpam-5733	285	22	0	0	NUM
ejpam-5733	285	23	,	,	PUNCT
ejpam-5733	285	24	otherwise	otherwise	ADV
ejpam-5733	285	25	,	,	PUNCT
ejpam-5733	285	26	τ∗e	τ∗e	PUNCT
ejpam-5733	285	27	(	(	PUNCT
ejpam-5733	285	28	me	i	PRON
ejpam-5733	285	29	)	)	PUNCT
ejpam-5733	285	30	=	=	SYM
ejpam-5733	286	1			NOUN
ejpam-5733	286	2	1	1	NUM
ejpam-5733	286	3	,	,	PUNCT
ejpam-5733	286	4	if	if	SCONJ
ejpam-5733	286	5	me	i	PRON
ejpam-5733	286	6	∈	∈	PROPN
ejpam-5733	286	7	{	{	PUNCT
ejpam-5733	286	8	φ	φ	NOUN
ejpam-5733	286	9	,	,	PUNCT
ejpam-5733	286	10	ẽ	ẽ	PROPN
ejpam-5733	286	11	}	}	PUNCT
ejpam-5733	286	12	,	,	PUNCT
ejpam-5733	286	13	1	1	NUM
ejpam-5733	286	14	3	3	NUM
ejpam-5733	286	15	,	,	PUNCT
ejpam-5733	286	16	if	if	SCONJ
ejpam-5733	286	17	me	i	PRON
ejpam-5733	286	18	=	=	SYM
ejpam-5733	286	19	fe	fe	X
ejpam-5733	286	20	,	,	PUNCT
ejpam-5733	286	21	0	0	NUM
ejpam-5733	286	22	,	,	PUNCT
ejpam-5733	286	23	otherwise	otherwise	ADV
ejpam-5733	286	24	.	.	PUNCT
ejpam-5733	287	1	thus	thus	ADV
ejpam-5733	287	2	,	,	PUNCT
ejpam-5733	287	3	the	the	DET
ejpam-5733	287	4	identity	identity	NOUN
ejpam-5733	287	5	fuzzy	fuzzy	ADJ
ejpam-5733	287	6	soft	soft	ADJ
ejpam-5733	287	7	function	function	NOUN
ejpam-5733	287	8	φψ	φψ	NOUN
ejpam-5733	287	9	:	:	PUNCT
ejpam-5733	287	10	(	(	PUNCT
ejpam-5733	287	11	u	u	NOUN
ejpam-5733	287	12	,	,	PUNCT
ejpam-5733	287	13	τe	τe	ADJ
ejpam-5733	287	14	)	)	PUNCT
ejpam-5733	287	15	−→	−→	NOUN
ejpam-5733	287	16	(	(	PUNCT
ejpam-5733	287	17	u	u	NOUN
ejpam-5733	287	18	,	,	PUNCT
ejpam-5733	287	19	τ∗e	τ∗e	PUNCT
ejpam-5733	287	20	)	)	PUNCT
ejpam-5733	287	21	is	be	AUX
ejpam-5733	287	22	fuzzy	fuzzy	ADJ
ejpam-5733	287	23	soft	soft	ADJ
ejpam-5733	287	24	β	β	NOUN
ejpam-5733	287	25	-	-	ADJ
ejpam-5733	287	26	continuous	continuous	ADJ
ejpam-5733	287	27	,	,	PUNCT
ejpam-5733	287	28	but	but	CCONJ
ejpam-5733	287	29	it	it	PRON
ejpam-5733	287	30	is	be	AUX
ejpam-5733	287	31	not	not	PART
ejpam-5733	287	32	fuzzy	fuzzy	ADJ
ejpam-5733	287	33	soft	soft	ADJ
ejpam-5733	287	34	pre	pre	ADJ
ejpam-5733	287	35	-	-	ADJ
ejpam-5733	287	36	continuous	continuous	ADJ
ejpam-5733	287	37	.	.	PUNCT
ejpam-5733	287	38	example	example	NOUN
ejpam-5733	288	1	11	11	NUM
ejpam-5733	288	2	.	.	PUNCT
ejpam-5733	289	1	let	let	VERB
ejpam-5733	289	2	u	u	PRON
ejpam-5733	289	3	=	=	NOUN
ejpam-5733	289	4	{	{	PUNCT
ejpam-5733	289	5	u1	u1	NOUN
ejpam-5733	289	6	,	,	PUNCT
ejpam-5733	289	7	u2	u2	PROPN
ejpam-5733	289	8	}	}	PUNCT
ejpam-5733	289	9	,	,	PUNCT
ejpam-5733	289	10	e	e	X
ejpam-5733	289	11	=	=	PRON
ejpam-5733	289	12	{	{	PUNCT
ejpam-5733	289	13	e1	e1	PROPN
ejpam-5733	289	14	,	,	PUNCT
ejpam-5733	289	15	e2	e2	PROPN
ejpam-5733	289	16	}	}	PUNCT
ejpam-5733	289	17	,	,	PUNCT
ejpam-5733	289	18	and	and	CCONJ
ejpam-5733	289	19	define	define	VERB
ejpam-5733	289	20	ge	ge	PROPN
ejpam-5733	289	21	,	,	PUNCT
ejpam-5733	289	22	fe	fe	X
ejpam-5733	289	23	∈	∈	PROPN
ejpam-5733	289	24	(	(	PUNCT
ejpam-5733	289	25	̃u	̃u	PROPN
ejpam-5733	289	26	,	,	PUNCT
ejpam-5733	289	27	e	e	NOUN
ejpam-5733	289	28	)	)	PUNCT
ejpam-5733	289	29	as	as	SCONJ
ejpam-5733	289	30	follows	follow	VERB
ejpam-5733	289	31	:	:	PUNCT
ejpam-5733	289	32	ge	ge	PROPN
ejpam-5733	289	33	=	=	PRON
ejpam-5733	289	34	{	{	PUNCT
ejpam-5733	289	35	(	(	PUNCT
ejpam-5733	289	36	e1	e1	NOUN
ejpam-5733	289	37	,	,	PUNCT
ejpam-5733	289	38	{	{	PUNCT
ejpam-5733	289	39	u10.4	u10.4	PROPN
ejpam-5733	289	40	,	,	PUNCT
ejpam-5733	289	41	u2	u2	NOUN
ejpam-5733	289	42	0.5	0.5	NUM
ejpam-5733	289	43	}	}	PUNCT
ejpam-5733	289	44	)	)	PUNCT
ejpam-5733	289	45	,	,	PUNCT
ejpam-5733	289	46	(	(	PUNCT
ejpam-5733	289	47	e2	e2	PROPN
ejpam-5733	289	48	,	,	PUNCT
ejpam-5733	289	49	{	{	PUNCT
ejpam-5733	289	50	u1	u1	NOUN
ejpam-5733	289	51	0.4	0.4	NUM
ejpam-5733	289	52	,	,	PUNCT
ejpam-5733	289	53	u2	u2	PROPN
ejpam-5733	289	54	0.5	0.5	NUM
ejpam-5733	289	55	}	}	PUNCT
ejpam-5733	289	56	)	)	PUNCT
ejpam-5733	289	57	}	}	PUNCT
ejpam-5733	289	58	,	,	PUNCT
ejpam-5733	289	59	fe	fe	X
ejpam-5733	289	60	=	=	SYM
ejpam-5733	289	61	{	{	PUNCT
ejpam-5733	289	62	(	(	PUNCT
ejpam-5733	289	63	e1	e1	NOUN
ejpam-5733	289	64	,	,	PUNCT
ejpam-5733	289	65	{	{	PUNCT
ejpam-5733	289	66	u10.3	u10.3	PROPN
ejpam-5733	289	67	,	,	PUNCT
ejpam-5733	289	68	u2	u2	PROPN
ejpam-5733	289	69	0.4	0.4	NUM
ejpam-5733	289	70	}	}	PUNCT
ejpam-5733	289	71	)	)	PUNCT
ejpam-5733	289	72	,	,	PUNCT
ejpam-5733	289	73	(	(	PUNCT
ejpam-5733	289	74	e2	e2	PROPN
ejpam-5733	289	75	,	,	PUNCT
ejpam-5733	289	76	{	{	PUNCT
ejpam-5733	289	77	u1	u1	NOUN
ejpam-5733	289	78	0.3	0.3	NUM
ejpam-5733	289	79	,	,	PUNCT
ejpam-5733	289	80	u2	u2	PROPN
ejpam-5733	289	81	0.4	0.4	NUM
ejpam-5733	289	82	}	}	PUNCT
ejpam-5733	289	83	)	)	PUNCT
ejpam-5733	289	84	}	}	PUNCT
ejpam-5733	289	85	.	.	PUNCT
ejpam-5733	290	1	define	define	VERB
ejpam-5733	290	2	fuzzy	fuzzy	ADJ
ejpam-5733	290	3	soft	soft	ADJ
ejpam-5733	290	4	topologies	topology	NOUN
ejpam-5733	290	5	τe	τe	VERB
ejpam-5733	290	6	,	,	PUNCT
ejpam-5733	290	7	τ	τ	PROPN
ejpam-5733	290	8	∗	∗	NOUN
ejpam-5733	290	9	e	e	NOUN
ejpam-5733	290	10	:	:	PUNCT
ejpam-5733	290	11	e	e	X
ejpam-5733	290	12	−→	−→	NOUN
ejpam-5733	290	13	[	[	X
ejpam-5733	290	14	0	0	NUM
ejpam-5733	290	15	,	,	PUNCT
ejpam-5733	290	16	1](̃u	1](̃u	NUM
ejpam-5733	290	17	,	,	PUNCT
ejpam-5733	290	18	e	e	NOUN
ejpam-5733	290	19	)	)	PUNCT
ejpam-5733	290	20	as	as	SCONJ
ejpam-5733	290	21	follows	follow	VERB
ejpam-5733	290	22	:	:	PUNCT
ejpam-5733	290	23	∀e	∀e	PROPN
ejpam-5733	290	24	∈	∈	PROPN
ejpam-5733	290	25	e	e	NOUN
ejpam-5733	290	26	,	,	PUNCT
ejpam-5733	290	27	τe(me	τe(me	NOUN
ejpam-5733	290	28	)	)	PUNCT
ejpam-5733	291	1	=	=	PUNCT
ejpam-5733	291	2			NOUN
ejpam-5733	291	3	1	1	NUM
ejpam-5733	291	4	,	,	PUNCT
ejpam-5733	291	5	if	if	SCONJ
ejpam-5733	291	6	me	i	PRON
ejpam-5733	291	7	∈	∈	PROPN
ejpam-5733	291	8	{	{	PUNCT
ejpam-5733	291	9	φ	φ	NOUN
ejpam-5733	291	10	,	,	PUNCT
ejpam-5733	291	11	ẽ	ẽ	PROPN
ejpam-5733	291	12	}	}	PUNCT
ejpam-5733	291	13	,	,	PUNCT
ejpam-5733	291	14	1	1	NUM
ejpam-5733	291	15	2	2	NUM
ejpam-5733	291	16	,	,	PUNCT
ejpam-5733	291	17	if	if	SCONJ
ejpam-5733	291	18	me	i	PRON
ejpam-5733	291	19	=	=	PUNCT
ejpam-5733	291	20	ge	ge	PROPN
ejpam-5733	291	21	,	,	PUNCT
ejpam-5733	291	22	0	0	NUM
ejpam-5733	291	23	,	,	PUNCT
ejpam-5733	291	24	otherwise	otherwise	ADV
ejpam-5733	291	25	,	,	PUNCT
ejpam-5733	291	26	τ∗e	τ∗e	PUNCT
ejpam-5733	291	27	(	(	PUNCT
ejpam-5733	291	28	me	i	PRON
ejpam-5733	291	29	)	)	PUNCT
ejpam-5733	291	30	=	=	SYM
ejpam-5733	292	1			NOUN
ejpam-5733	292	2	1	1	NUM
ejpam-5733	292	3	,	,	PUNCT
ejpam-5733	292	4	if	if	SCONJ
ejpam-5733	292	5	me	i	PRON
ejpam-5733	292	6	∈	∈	PROPN
ejpam-5733	292	7	{	{	PUNCT
ejpam-5733	292	8	φ	φ	NOUN
ejpam-5733	292	9	,	,	PUNCT
ejpam-5733	292	10	ẽ	ẽ	PROPN
ejpam-5733	292	11	}	}	PUNCT
ejpam-5733	292	12	,	,	PUNCT
ejpam-5733	292	13	1	1	NUM
ejpam-5733	292	14	4	4	NUM
ejpam-5733	292	15	,	,	PUNCT
ejpam-5733	292	16	if	if	SCONJ
ejpam-5733	292	17	me	i	PRON
ejpam-5733	292	18	=	=	SYM
ejpam-5733	292	19	fe	fe	X
ejpam-5733	292	20	,	,	PUNCT
ejpam-5733	292	21	0	0	NUM
ejpam-5733	292	22	,	,	PUNCT
ejpam-5733	292	23	otherwise	otherwise	ADV
ejpam-5733	292	24	.	.	PUNCT
ejpam-5733	293	1	thus	thus	ADV
ejpam-5733	293	2	,	,	PUNCT
ejpam-5733	293	3	the	the	DET
ejpam-5733	293	4	identity	identity	NOUN
ejpam-5733	293	5	fuzzy	fuzzy	ADJ
ejpam-5733	293	6	soft	soft	ADJ
ejpam-5733	293	7	function	function	NOUN
ejpam-5733	293	8	φψ	φψ	NOUN
ejpam-5733	293	9	:	:	PUNCT
ejpam-5733	293	10	(	(	PUNCT
ejpam-5733	293	11	u	u	NOUN
ejpam-5733	293	12	,	,	PUNCT
ejpam-5733	293	13	τe	τe	ADJ
ejpam-5733	293	14	)	)	PUNCT
ejpam-5733	293	15	−→	−→	NOUN
ejpam-5733	293	16	(	(	PUNCT
ejpam-5733	293	17	u	u	NOUN
ejpam-5733	293	18	,	,	PUNCT
ejpam-5733	293	19	τ∗e	τ∗e	PUNCT
ejpam-5733	293	20	)	)	PUNCT
ejpam-5733	293	21	is	be	AUX
ejpam-5733	293	22	fuzzy	fuzzy	ADJ
ejpam-5733	293	23	soft	soft	ADJ
ejpam-5733	293	24	precontinuous	precontinuous	NOUN
ejpam-5733	293	25	,	,	PUNCT
ejpam-5733	293	26	but	but	CCONJ
ejpam-5733	293	27	it	it	PRON
ejpam-5733	293	28	is	be	AUX
ejpam-5733	293	29	neither	neither	CCONJ
ejpam-5733	293	30	fuzzy	fuzzy	ADJ
ejpam-5733	293	31	soft	soft	ADJ
ejpam-5733	293	32	α	α	NOUN
ejpam-5733	293	33	-	-	ADJ
ejpam-5733	293	34	continuous	continuous	ADJ
ejpam-5733	293	35	nor	nor	CCONJ
ejpam-5733	293	36	fuzzy	fuzzy	ADJ
ejpam-5733	293	37	soft	soft	ADJ
ejpam-5733	293	38	semi	semi	ADJ
ejpam-5733	293	39	-	-	ADJ
ejpam-5733	293	40	continuous	continuous	ADJ
ejpam-5733	293	41	.	.	PUNCT
ejpam-5733	294	1	theorem	theorem	ADJ
ejpam-5733	294	2	7	7	NUM
ejpam-5733	294	3	.	.	PUNCT
ejpam-5733	295	1	let	let	AUX
ejpam-5733	295	2	(	(	PUNCT
ejpam-5733	295	3	u	u	NOUN
ejpam-5733	295	4	,	,	PUNCT
ejpam-5733	295	5	τe	τe	ADP
ejpam-5733	295	6	)	)	PUNCT
ejpam-5733	295	7	and	and	CCONJ
ejpam-5733	295	8	(	(	PUNCT
ejpam-5733	295	9	v	v	NOUN
ejpam-5733	295	10	,	,	PUNCT
ejpam-5733	295	11	τ∗f	τ∗f	NUM
ejpam-5733	295	12	)	)	PUNCT
ejpam-5733	295	13	be	be	AUX
ejpam-5733	295	14	an	an	DET
ejpam-5733	295	15	fstss	fstss	NOUN
ejpam-5733	295	16	and	and	CCONJ
ejpam-5733	295	17	φψ	φψ	X
ejpam-5733	295	18	:	:	PUNCT
ejpam-5733	295	19	(	(	PUNCT
ejpam-5733	295	20	̃u	̃u	PROPN
ejpam-5733	295	21	,	,	PUNCT
ejpam-5733	295	22	e	e	NOUN
ejpam-5733	295	23	)	)	PUNCT
ejpam-5733	295	24	−→	−→	NOUN
ejpam-5733	295	25	(	(	PUNCT
ejpam-5733	295	26	̃v	̃v	NOUN
ejpam-5733	295	27	,	,	PUNCT
ejpam-5733	295	28	f	f	PROPN
ejpam-5733	295	29	)	)	PUNCT
ejpam-5733	295	30	be	be	AUX
ejpam-5733	295	31	a	a	DET
ejpam-5733	295	32	fuzzy	fuzzy	ADJ
ejpam-5733	295	33	soft	soft	ADJ
ejpam-5733	295	34	function	function	NOUN
ejpam-5733	295	35	.	.	PUNCT
ejpam-5733	296	1	the	the	DET
ejpam-5733	296	2	following	follow	VERB
ejpam-5733	296	3	statements	statement	NOUN
ejpam-5733	296	4	are	be	AUX
ejpam-5733	296	5	equivalent	equivalent	ADJ
ejpam-5733	296	6	for	for	ADP
ejpam-5733	296	7	every	every	DET
ejpam-5733	296	8	gb	gb	NOUN
ejpam-5733	296	9	∈	∈	PROPN
ejpam-5733	296	10	(	(	PUNCT
ejpam-5733	296	11	̃v	̃v	NOUN
ejpam-5733	296	12	,	,	PUNCT
ejpam-5733	296	13	f	f	PROPN
ejpam-5733	296	14	)	)	PUNCT
ejpam-5733	296	15	,	,	PUNCT
ejpam-5733	296	16	e	e	PROPN
ejpam-5733	296	17	∈	∈	PROPN
ejpam-5733	296	18	e	e	NOUN
ejpam-5733	296	19	,	,	PUNCT
ejpam-5733	296	20	(	(	PUNCT
ejpam-5733	296	21	k	k	NOUN
ejpam-5733	296	22	=	=	PUNCT
ejpam-5733	296	23	ψ(e	ψ(e	PROPN
ejpam-5733	296	24	)	)	PUNCT
ejpam-5733	296	25	)	)	PUNCT
ejpam-5733	297	1	∈	∈	PROPN
ejpam-5733	297	2	f	f	X
ejpam-5733	297	3	,	,	PUNCT
ejpam-5733	297	4	and	and	CCONJ
ejpam-5733	297	5	r	r	NOUN
ejpam-5733	297	6	∈	∈	PROPN
ejpam-5733	297	7	i	i	NOUN
ejpam-5733	297	8	◦	◦	NOUN
ejpam-5733	297	9	.	.	PUNCT
ejpam-5733	298	1	(	(	PUNCT
ejpam-5733	298	2	i	i	NOUN
ejpam-5733	298	3	)	)	PUNCT
ejpam-5733	298	4	φψ	φψ	PROPN
ejpam-5733	298	5	is	be	AUX
ejpam-5733	298	6	fuzzy	fuzzy	ADJ
ejpam-5733	298	7	soft	soft	ADJ
ejpam-5733	298	8	β	β	NOUN
ejpam-5733	298	9	-	-	ADJ
ejpam-5733	298	10	continuous	continuous	ADJ
ejpam-5733	298	11	.	.	PUNCT
ejpam-5733	299	1	(	(	PUNCT
ejpam-5733	299	2	ii	ii	NOUN
ejpam-5733	299	3	)	)	PUNCT
ejpam-5733	299	4	iτ	iτ	NOUN
ejpam-5733	299	5	(	(	PUNCT
ejpam-5733	299	6	e	e	NOUN
ejpam-5733	299	7	,	,	PUNCT
ejpam-5733	299	8	cτ	cτ	INTJ
ejpam-5733	299	9	(	(	PUNCT
ejpam-5733	299	10	e	e	NOUN
ejpam-5733	299	11	,	,	PUNCT
ejpam-5733	299	12	iτ	iτ	X
ejpam-5733	299	13	(	(	PUNCT
ejpam-5733	299	14	e	e	NOUN
ejpam-5733	299	15	,	,	PUNCT
ejpam-5733	299	16	φ	φ	PROPN
ejpam-5733	299	17	−1	−1	NOUN
ejpam-5733	299	18	ψ	ψ	X
ejpam-5733	299	19	(	(	PUNCT
ejpam-5733	299	20	gb	gb	NOUN
ejpam-5733	299	21	)	)	PUNCT
ejpam-5733	299	22	,	,	PUNCT
ejpam-5733	299	23	r	r	NOUN
ejpam-5733	299	24	)	)	PUNCT
ejpam-5733	299	25	,	,	PUNCT
ejpam-5733	299	26	r	r	NOUN
ejpam-5733	299	27	)	)	PUNCT
ejpam-5733	299	28	,	,	PUNCT
ejpam-5733	299	29	r	r	X
ejpam-5733	299	30	)	)	PUNCT
ejpam-5733	299	31	⊑	⊑	X
ejpam-5733	299	32	φ−1	φ−1	PROPN
ejpam-5733	299	33	ψ	ψ	X
ejpam-5733	299	34	(	(	PUNCT
ejpam-5733	299	35	gb	gb	NOUN
ejpam-5733	299	36	)	)	PUNCT
ejpam-5733	299	37	,	,	PUNCT
ejpam-5733	299	38	if	if	SCONJ
ejpam-5733	299	39	τ	τ	PROPN
ejpam-5733	299	40	∗	∗	X
ejpam-5733	299	41	k	k	PROPN
ejpam-5733	299	42	(	(	PUNCT
ejpam-5733	299	43	g	g	PROPN
ejpam-5733	299	44	c	c	PROPN
ejpam-5733	299	45	b	b	PROPN
ejpam-5733	299	46	)	)	PUNCT
ejpam-5733	299	47	≥	≥	PROPN
ejpam-5733	299	48	r.	r.	PROPN
ejpam-5733	299	49	(	(	PUNCT
ejpam-5733	299	50	iii	iii	NOUN
ejpam-5733	299	51	)	)	PUNCT
ejpam-5733	299	52	iτ	iτ	NOUN
ejpam-5733	299	53	(	(	PUNCT
ejpam-5733	299	54	e	e	NOUN
ejpam-5733	299	55	,	,	PUNCT
ejpam-5733	299	56	cτ	cτ	INTJ
ejpam-5733	299	57	(	(	PUNCT
ejpam-5733	299	58	e	e	NOUN
ejpam-5733	299	59	,	,	PUNCT
ejpam-5733	299	60	iτ	iτ	X
ejpam-5733	299	61	(	(	PUNCT
ejpam-5733	299	62	e	e	NOUN
ejpam-5733	299	63	,	,	PUNCT
ejpam-5733	299	64	φ	φ	PROPN
ejpam-5733	299	65	−1	−1	NOUN
ejpam-5733	299	66	ψ	ψ	X
ejpam-5733	299	67	(	(	PUNCT
ejpam-5733	299	68	gb	gb	NOUN
ejpam-5733	299	69	)	)	PUNCT
ejpam-5733	299	70	,	,	PUNCT
ejpam-5733	299	71	r	r	NOUN
ejpam-5733	299	72	)	)	PUNCT
ejpam-5733	299	73	,	,	PUNCT
ejpam-5733	299	74	r	r	NOUN
ejpam-5733	299	75	)	)	PUNCT
ejpam-5733	299	76	,	,	PUNCT
ejpam-5733	299	77	r	r	X
ejpam-5733	299	78	)	)	PUNCT
ejpam-5733	299	79	⊑	⊑	X
ejpam-5733	299	80	φ−1	φ−1	PROPN
ejpam-5733	299	81	ψ	ψ	X
ejpam-5733	299	82	(	(	PUNCT
ejpam-5733	299	83	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	299	84	,	,	PUNCT
ejpam-5733	299	85	gb	gb	NOUN
ejpam-5733	299	86	,	,	PUNCT
ejpam-5733	299	87	r	r	NOUN
ejpam-5733	299	88	)	)	PUNCT
ejpam-5733	299	89	)	)	PUNCT
ejpam-5733	299	90	.	.	PUNCT
ejpam-5733	300	1	(	(	PUNCT
ejpam-5733	300	2	iv	iv	X
ejpam-5733	300	3	)	)	PUNCT
ejpam-5733	300	4	φ−1	φ−1	PROPN
ejpam-5733	300	5	ψ	ψ	NOUN
ejpam-5733	300	6	(	(	PUNCT
ejpam-5733	300	7	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	300	8	,	,	PUNCT
ejpam-5733	300	9	gb	gb	PRON
ejpam-5733	300	10	,	,	PUNCT
ejpam-5733	300	11	r	r	NOUN
ejpam-5733	300	12	)	)	PUNCT
ejpam-5733	300	13	)	)	PUNCT
ejpam-5733	301	1	⊑	⊑	PROPN
ejpam-5733	301	2	cτ	cτ	VERB
ejpam-5733	301	3	(	(	PUNCT
ejpam-5733	301	4	e	e	NOUN
ejpam-5733	301	5	,	,	PUNCT
ejpam-5733	301	6	iτ	iτ	X
ejpam-5733	301	7	(	(	PUNCT
ejpam-5733	301	8	e	e	NOUN
ejpam-5733	301	9	,	,	PUNCT
ejpam-5733	301	10	cτ	cτ	INTJ
ejpam-5733	301	11	(	(	PUNCT
ejpam-5733	301	12	e	e	NOUN
ejpam-5733	301	13	,	,	PUNCT
ejpam-5733	301	14	φ	φ	PROPN
ejpam-5733	301	15	−1	−1	NOUN
ejpam-5733	301	16	ψ	ψ	X
ejpam-5733	301	17	(	(	PUNCT
ejpam-5733	301	18	gb	gb	NOUN
ejpam-5733	301	19	)	)	PUNCT
ejpam-5733	301	20	,	,	PUNCT
ejpam-5733	301	21	r	r	NOUN
ejpam-5733	301	22	)	)	PUNCT
ejpam-5733	301	23	,	,	PUNCT
ejpam-5733	301	24	r	r	NOUN
ejpam-5733	301	25	)	)	PUNCT
ejpam-5733	301	26	,	,	PUNCT
ejpam-5733	301	27	r	r	NOUN
ejpam-5733	301	28	)	)	PUNCT
ejpam-5733	301	29	.	.	PUNCT
ejpam-5733	302	1	proof	proof	NOUN
ejpam-5733	302	2	.	.	PUNCT
ejpam-5733	303	1	(	(	PUNCT
ejpam-5733	303	2	i	i	NOUN
ejpam-5733	303	3	)	)	PUNCT
ejpam-5733	303	4	⇒	⇒	PROPN
ejpam-5733	303	5	(	(	PUNCT
ejpam-5733	303	6	ii	ii	NOUN
ejpam-5733	303	7	)	)	PUNCT
ejpam-5733	303	8	let	let	VERB
ejpam-5733	303	9	gb	gb	PRON
ejpam-5733	303	10	∈	∈	PROPN
ejpam-5733	303	11	(	(	PUNCT
ejpam-5733	303	12	̃v	̃v	NOUN
ejpam-5733	303	13	,	,	PUNCT
ejpam-5733	303	14	f	f	PROPN
ejpam-5733	303	15	)	)	PUNCT
ejpam-5733	303	16	with	with	ADP
ejpam-5733	303	17	τ∗k	τ∗k	PUNCT
ejpam-5733	303	18	(	(	PUNCT
ejpam-5733	303	19	g	g	PROPN
ejpam-5733	303	20	c	c	PROPN
ejpam-5733	303	21	b	b	PROPN
ejpam-5733	303	22	)	)	PUNCT
ejpam-5733	303	23	≥	≥	PROPN
ejpam-5733	303	24	r.	r.	PROPN
ejpam-5733	303	25	then	then	ADV
ejpam-5733	303	26	by	by	ADP
ejpam-5733	303	27	definition	definition	NOUN
ejpam-5733	303	28	11	11	NUM
ejpam-5733	303	29	,	,	PUNCT
ejpam-5733	303	30	(	(	PUNCT
ejpam-5733	303	31	φ−1	φ−1	PROPN
ejpam-5733	303	32	ψ	ψ	SYM
ejpam-5733	303	33	(	(	PUNCT
ejpam-5733	303	34	gb	gb	NOUN
ejpam-5733	303	35	)	)	PUNCT
ejpam-5733	303	36	)	)	PUNCT
ejpam-5733	304	1	c	c	X
ejpam-5733	304	2	=	=	SYM
ejpam-5733	304	3	φ−1	φ−1	PROPN
ejpam-5733	304	4	ψ	ψ	SYM
ejpam-5733	304	5	(	(	PUNCT
ejpam-5733	304	6	gcb	gcb	X
ejpam-5733	304	7	)	)	PUNCT
ejpam-5733	304	8	⊑	⊑	X
ejpam-5733	304	9	cτ	cτ	VERB
ejpam-5733	304	10	(	(	PUNCT
ejpam-5733	304	11	e	e	NOUN
ejpam-5733	304	12	,	,	PUNCT
ejpam-5733	304	13	iτ	iτ	X
ejpam-5733	304	14	(	(	PUNCT
ejpam-5733	304	15	e	e	NOUN
ejpam-5733	304	16	,	,	PUNCT
ejpam-5733	304	17	cτ	cτ	INTJ
ejpam-5733	304	18	(	(	PUNCT
ejpam-5733	304	19	e	e	NOUN
ejpam-5733	304	20	,	,	PUNCT
ejpam-5733	304	21	φ	φ	PROPN
ejpam-5733	304	22	−1	−1	NOUN
ejpam-5733	304	23	ψ	ψ	X
ejpam-5733	304	24	(	(	PUNCT
ejpam-5733	304	25	gcb	gcb	PROPN
ejpam-5733	304	26	)	)	PUNCT
ejpam-5733	304	27	,	,	PUNCT
ejpam-5733	304	28	r	r	NOUN
ejpam-5733	304	29	)	)	PUNCT
ejpam-5733	304	30	,	,	PUNCT
ejpam-5733	304	31	r	r	NOUN
ejpam-5733	304	32	)	)	PUNCT
ejpam-5733	304	33	,	,	PUNCT
ejpam-5733	304	34	r	r	NOUN
ejpam-5733	304	35	)	)	PUNCT
ejpam-5733	304	36	=	=	SYM
ejpam-5733	304	37	(	(	PUNCT
ejpam-5733	304	38	iτ	iτ	INTJ
ejpam-5733	304	39	(	(	PUNCT
ejpam-5733	304	40	e	e	NOUN
ejpam-5733	304	41	,	,	PUNCT
ejpam-5733	304	42	cτ	cτ	INTJ
ejpam-5733	304	43	(	(	PUNCT
ejpam-5733	304	44	e	e	NOUN
ejpam-5733	304	45	,	,	PUNCT
ejpam-5733	304	46	iτ	iτ	X
ejpam-5733	304	47	(	(	PUNCT
ejpam-5733	304	48	e	e	NOUN
ejpam-5733	304	49	,	,	PUNCT
ejpam-5733	304	50	φ	φ	PROPN
ejpam-5733	304	51	−1	−1	NOUN
ejpam-5733	304	52	ψ	ψ	X
ejpam-5733	304	53	(	(	PUNCT
ejpam-5733	304	54	gb	gb	NOUN
ejpam-5733	304	55	)	)	PUNCT
ejpam-5733	304	56	,	,	PUNCT
ejpam-5733	304	57	r	r	NOUN
ejpam-5733	304	58	)	)	PUNCT
ejpam-5733	304	59	,	,	PUNCT
ejpam-5733	304	60	r	r	NOUN
ejpam-5733	304	61	)	)	PUNCT
ejpam-5733	304	62	,	,	PUNCT
ejpam-5733	304	63	r	r	NOUN
ejpam-5733	304	64	)	)	PUNCT
ejpam-5733	304	65	)	)	PUNCT
ejpam-5733	304	66	c.	c.	PROPN
ejpam-5733	304	67	i.	i.	PROPN
ejpam-5733	304	68	alshammari	alshammari	PROPN
ejpam-5733	304	69	et	et	PROPN
ejpam-5733	304	70	al	al	PROPN
ejpam-5733	304	71	.	.	PUNCT
ejpam-5733	304	72	/	/	SYM
ejpam-5733	304	73	eur	eur	PROPN
ejpam-5733	304	74	.	.	PUNCT
ejpam-5733	305	1	j.	j.	PROPN
ejpam-5733	305	2	pure	pure	PROPN
ejpam-5733	305	3	appl	appl	PROPN
ejpam-5733	305	4	.	.	PROPN
ejpam-5733	305	5	math	math	PROPN
ejpam-5733	305	6	,	,	PUNCT
ejpam-5733	305	7	18	18	NUM
ejpam-5733	305	8	(	(	PUNCT
ejpam-5733	305	9	1	1	NUM
ejpam-5733	305	10	)	)	PUNCT
ejpam-5733	305	11	(	(	PUNCT
ejpam-5733	305	12	2025	2025	NUM
ejpam-5733	305	13	)	)	PUNCT
ejpam-5733	305	14	,	,	PUNCT
ejpam-5733	305	15	5733	5733	NUM
ejpam-5733	305	16	14	14	NUM
ejpam-5733	305	17	of	of	ADP
ejpam-5733	305	18	21	21	NUM
ejpam-5733	305	19	thus	thus	ADV
ejpam-5733	305	20	,	,	PUNCT
ejpam-5733	305	21	iτ	iτ	X
ejpam-5733	305	22	(	(	PUNCT
ejpam-5733	305	23	e	e	NOUN
ejpam-5733	305	24	,	,	PUNCT
ejpam-5733	305	25	cτ	cτ	INTJ
ejpam-5733	305	26	(	(	PUNCT
ejpam-5733	305	27	e	e	NOUN
ejpam-5733	305	28	,	,	PUNCT
ejpam-5733	305	29	iτ	iτ	X
ejpam-5733	305	30	(	(	PUNCT
ejpam-5733	305	31	e	e	NOUN
ejpam-5733	305	32	,	,	PUNCT
ejpam-5733	305	33	φ	φ	PROPN
ejpam-5733	305	34	−1	−1	NOUN
ejpam-5733	305	35	ψ	ψ	X
ejpam-5733	305	36	(	(	PUNCT
ejpam-5733	305	37	gb	gb	NOUN
ejpam-5733	305	38	)	)	PUNCT
ejpam-5733	305	39	,	,	PUNCT
ejpam-5733	305	40	r	r	NOUN
ejpam-5733	305	41	)	)	PUNCT
ejpam-5733	305	42	,	,	PUNCT
ejpam-5733	305	43	r	r	NOUN
ejpam-5733	305	44	)	)	PUNCT
ejpam-5733	305	45	,	,	PUNCT
ejpam-5733	305	46	r	r	X
ejpam-5733	305	47	)	)	PUNCT
ejpam-5733	305	48	⊑	⊑	X
ejpam-5733	305	49	φ−1	φ−1	PROPN
ejpam-5733	305	50	ψ	ψ	X
ejpam-5733	305	51	(	(	PUNCT
ejpam-5733	305	52	gb	gb	NOUN
ejpam-5733	305	53	)	)	PUNCT
ejpam-5733	305	54	.	.	PUNCT
ejpam-5733	306	1	(	(	PUNCT
ejpam-5733	306	2	ii	ii	NOUN
ejpam-5733	306	3	)	)	PUNCT
ejpam-5733	306	4	⇒	⇒	NOUN
ejpam-5733	306	5	(	(	PUNCT
ejpam-5733	306	6	iii	iii	NOUN
ejpam-5733	306	7	)	)	PUNCT
ejpam-5733	306	8	obvious	obvious	ADJ
ejpam-5733	306	9	.	.	PUNCT
ejpam-5733	307	1	(	(	PUNCT
ejpam-5733	307	2	iii)⇒	iii)⇒	PROPN
ejpam-5733	307	3	(	(	PUNCT
ejpam-5733	307	4	iv	iv	X
ejpam-5733	307	5	)	)	PUNCT
ejpam-5733	307	6	since	since	SCONJ
ejpam-5733	307	7	(	(	PUNCT
ejpam-5733	307	8	iτ	iτ	INTJ
ejpam-5733	307	9	(	(	PUNCT
ejpam-5733	307	10	e	e	NOUN
ejpam-5733	307	11	,	,	PUNCT
ejpam-5733	307	12	cτ	cτ	INTJ
ejpam-5733	307	13	(	(	PUNCT
ejpam-5733	307	14	e	e	NOUN
ejpam-5733	307	15	,	,	PUNCT
ejpam-5733	307	16	iτ	iτ	X
ejpam-5733	307	17	(	(	PUNCT
ejpam-5733	307	18	e	e	NOUN
ejpam-5733	307	19	,	,	PUNCT
ejpam-5733	307	20	φ	φ	PROPN
ejpam-5733	307	21	−1	−1	NOUN
ejpam-5733	307	22	ψ	ψ	X
ejpam-5733	307	23	(	(	PUNCT
ejpam-5733	307	24	gb	gb	NOUN
ejpam-5733	307	25	)	)	PUNCT
ejpam-5733	307	26	,	,	PUNCT
ejpam-5733	307	27	r	r	NOUN
ejpam-5733	307	28	)	)	PUNCT
ejpam-5733	307	29	,	,	PUNCT
ejpam-5733	307	30	r	r	NOUN
ejpam-5733	307	31	)	)	PUNCT
ejpam-5733	307	32	,	,	PUNCT
ejpam-5733	307	33	r	r	NOUN
ejpam-5733	307	34	)	)	PUNCT
ejpam-5733	307	35	)	)	PUNCT
ejpam-5733	307	36	c	c	X
ejpam-5733	308	1	=	=	PRON
ejpam-5733	308	2	cτ	cτ	X
ejpam-5733	308	3	(	(	PUNCT
ejpam-5733	308	4	e	e	NOUN
ejpam-5733	308	5	,	,	PUNCT
ejpam-5733	308	6	iτ	iτ	X
ejpam-5733	308	7	(	(	PUNCT
ejpam-5733	308	8	e	e	NOUN
ejpam-5733	308	9	,	,	PUNCT
ejpam-5733	308	10	cτ	cτ	INTJ
ejpam-5733	308	11	(	(	PUNCT
ejpam-5733	308	12	e	e	NOUN
ejpam-5733	308	13	,	,	PUNCT
ejpam-5733	308	14	φ	φ	PROPN
ejpam-5733	308	15	−1	−1	NOUN
ejpam-5733	308	16	ψ	ψ	X
ejpam-5733	308	17	(	(	PUNCT
ejpam-5733	308	18	gcb	gcb	PROPN
ejpam-5733	308	19	)	)	PUNCT
ejpam-5733	308	20	,	,	PUNCT
ejpam-5733	308	21	r	r	NOUN
ejpam-5733	308	22	)	)	PUNCT
ejpam-5733	308	23	,	,	PUNCT
ejpam-5733	308	24	r	r	NOUN
ejpam-5733	308	25	)	)	PUNCT
ejpam-5733	308	26	,	,	PUNCT
ejpam-5733	308	27	r	r	NOUN
ejpam-5733	308	28	)	)	PUNCT
ejpam-5733	308	29	and	and	CCONJ
ejpam-5733	308	30	(	(	PUNCT
ejpam-5733	308	31	φ−1	φ−1	PROPN
ejpam-5733	308	32	ψ	ψ	X
ejpam-5733	308	33	(	(	PUNCT
ejpam-5733	308	34	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	308	35	,	,	PUNCT
ejpam-5733	308	36	gb	gb	NOUN
ejpam-5733	308	37	,	,	PUNCT
ejpam-5733	308	38	r	r	NOUN
ejpam-5733	308	39	)	)	PUNCT
ejpam-5733	308	40	)	)	PUNCT
ejpam-5733	308	41	)	)	PUNCT
ejpam-5733	309	1	c	c	X
ejpam-5733	310	1	=	=	SYM
ejpam-5733	310	2	φ−1	φ−1	PROPN
ejpam-5733	310	3	ψ	ψ	NOUN
ejpam-5733	310	4	(	(	PUNCT
ejpam-5733	310	5	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	310	6	,	,	PUNCT
ejpam-5733	310	7	g	g	PROPN
ejpam-5733	310	8	c	c	PROPN
ejpam-5733	310	9	b	b	PROPN
ejpam-5733	310	10	,	,	PUNCT
ejpam-5733	310	11	r	r	NOUN
ejpam-5733	310	12	)	)	PUNCT
ejpam-5733	310	13	)	)	PUNCT
ejpam-5733	310	14	.	.	PUNCT
ejpam-5733	311	1	then	then	ADV
ejpam-5733	311	2	,	,	PUNCT
ejpam-5733	311	3	φ−1	φ−1	PROPN
ejpam-5733	311	4	ψ	ψ	X
ejpam-5733	311	5	(	(	PUNCT
ejpam-5733	311	6	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	311	7	,	,	PUNCT
ejpam-5733	311	8	gb	gb	PRON
ejpam-5733	311	9	,	,	PUNCT
ejpam-5733	311	10	r	r	NOUN
ejpam-5733	311	11	)	)	PUNCT
ejpam-5733	311	12	)	)	PUNCT
ejpam-5733	311	13	⊑	⊑	PROPN
ejpam-5733	311	14	cτ	cτ	VERB
ejpam-5733	311	15	(	(	PUNCT
ejpam-5733	311	16	e	e	NOUN
ejpam-5733	311	17	,	,	PUNCT
ejpam-5733	311	18	iτ	iτ	X
ejpam-5733	311	19	(	(	PUNCT
ejpam-5733	311	20	e	e	NOUN
ejpam-5733	311	21	,	,	PUNCT
ejpam-5733	311	22	cτ	cτ	INTJ
ejpam-5733	311	23	(	(	PUNCT
ejpam-5733	311	24	e	e	NOUN
ejpam-5733	311	25	,	,	PUNCT
ejpam-5733	311	26	φ	φ	PROPN
ejpam-5733	311	27	−1	−1	NOUN
ejpam-5733	311	28	ψ	ψ	X
ejpam-5733	311	29	(	(	PUNCT
ejpam-5733	311	30	gb	gb	NOUN
ejpam-5733	311	31	)	)	PUNCT
ejpam-5733	311	32	,	,	PUNCT
ejpam-5733	311	33	r	r	NOUN
ejpam-5733	311	34	)	)	PUNCT
ejpam-5733	311	35	,	,	PUNCT
ejpam-5733	311	36	r	r	NOUN
ejpam-5733	311	37	)	)	PUNCT
ejpam-5733	311	38	,	,	PUNCT
ejpam-5733	311	39	r	r	NOUN
ejpam-5733	311	40	)	)	PUNCT
ejpam-5733	311	41	,	,	PUNCT
ejpam-5733	311	42	for	for	ADP
ejpam-5733	311	43	each	each	DET
ejpam-5733	311	44	gb	gb	NOUN
ejpam-5733	311	45	∈	∈	PROPN
ejpam-5733	311	46	(	(	PUNCT
ejpam-5733	311	47	̃v	̃v	NOUN
ejpam-5733	311	48	,	,	PUNCT
ejpam-5733	311	49	f	f	PROPN
ejpam-5733	311	50	)	)	PUNCT
ejpam-5733	311	51	.	.	PUNCT
ejpam-5733	312	1	(	(	PUNCT
ejpam-5733	312	2	iv	iv	X
ejpam-5733	312	3	)	)	PUNCT
ejpam-5733	312	4	⇒	⇒	NOUN
ejpam-5733	312	5	(	(	PUNCT
ejpam-5733	312	6	i	i	NOUN
ejpam-5733	312	7	)	)	PUNCT
ejpam-5733	312	8	let	let	VERB
ejpam-5733	312	9	gb	gb	PRON
ejpam-5733	312	10	∈	∈	PROPN
ejpam-5733	312	11	(	(	PUNCT
ejpam-5733	312	12	̃v	̃v	NOUN
ejpam-5733	312	13	,	,	PUNCT
ejpam-5733	312	14	f	f	PROPN
ejpam-5733	312	15	)	)	PUNCT
ejpam-5733	312	16	with	with	ADP
ejpam-5733	312	17	τ∗k	τ∗k	PUNCT
ejpam-5733	312	18	(	(	PUNCT
ejpam-5733	312	19	gb	gb	NOUN
ejpam-5733	312	20	)	)	PUNCT
ejpam-5733	312	21	≥	≥	PROPN
ejpam-5733	312	22	r.	r.	PROPN
ejpam-5733	312	23	then	then	ADV
ejpam-5733	312	24	by	by	ADP
ejpam-5733	312	25	(	(	PUNCT
ejpam-5733	312	26	iv	iv	X
ejpam-5733	312	27	)	)	PUNCT
ejpam-5733	312	28	and	and	CCONJ
ejpam-5733	312	29	gb	gb	NOUN
ejpam-5733	312	30	=	=	PUNCT
ejpam-5733	312	31	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	312	32	,	,	PUNCT
ejpam-5733	312	33	gb	gb	PRON
ejpam-5733	312	34	,	,	PUNCT
ejpam-5733	312	35	r	r	NOUN
ejpam-5733	312	36	)	)	PUNCT
ejpam-5733	312	37	,	,	PUNCT
ejpam-5733	312	38	φ−1	φ−1	PROPN
ejpam-5733	312	39	ψ	ψ	SYM
ejpam-5733	312	40	(	(	PUNCT
ejpam-5733	312	41	gb	gb	PROPN
ejpam-5733	312	42	)	)	PUNCT
ejpam-5733	312	43	⊑	⊑	PROPN
ejpam-5733	312	44	cτ	cτ	VERB
ejpam-5733	312	45	(	(	PUNCT
ejpam-5733	312	46	e	e	NOUN
ejpam-5733	312	47	,	,	PUNCT
ejpam-5733	312	48	iτ	iτ	X
ejpam-5733	312	49	(	(	PUNCT
ejpam-5733	312	50	e	e	NOUN
ejpam-5733	312	51	,	,	PUNCT
ejpam-5733	312	52	cτ	cτ	INTJ
ejpam-5733	312	53	(	(	PUNCT
ejpam-5733	312	54	e	e	NOUN
ejpam-5733	312	55	,	,	PUNCT
ejpam-5733	312	56	φ	φ	PROPN
ejpam-5733	312	57	−1	−1	NOUN
ejpam-5733	312	58	ψ	ψ	X
ejpam-5733	312	59	(	(	PUNCT
ejpam-5733	312	60	gb	gb	NOUN
ejpam-5733	312	61	)	)	PUNCT
ejpam-5733	312	62	,	,	PUNCT
ejpam-5733	312	63	r	r	NOUN
ejpam-5733	312	64	)	)	PUNCT
ejpam-5733	312	65	,	,	PUNCT
ejpam-5733	312	66	r	r	NOUN
ejpam-5733	312	67	)	)	PUNCT
ejpam-5733	312	68	,	,	PUNCT
ejpam-5733	312	69	r	r	NOUN
ejpam-5733	312	70	)	)	PUNCT
ejpam-5733	312	71	.	.	PUNCT
ejpam-5733	313	1	thus	thus	ADV
ejpam-5733	313	2	,	,	PUNCT
ejpam-5733	313	3	φψ	φψ	NOUN
ejpam-5733	313	4	is	be	AUX
ejpam-5733	313	5	fuzzy	fuzzy	ADJ
ejpam-5733	313	6	soft	soft	ADJ
ejpam-5733	313	7	β	β	NOUN
ejpam-5733	313	8	-	-	ADJ
ejpam-5733	313	9	continuous	continuous	ADJ
ejpam-5733	313	10	.	.	PUNCT
ejpam-5733	314	1	the	the	DET
ejpam-5733	314	2	following	follow	VERB
ejpam-5733	314	3	theorem	theorem	NOUN
ejpam-5733	314	4	is	be	AUX
ejpam-5733	314	5	similarly	similarly	ADV
ejpam-5733	314	6	proved	prove	VERB
ejpam-5733	314	7	as	as	ADP
ejpam-5733	314	8	in	in	ADP
ejpam-5733	314	9	theorem	theorem	ADJ
ejpam-5733	314	10	7	7	NUM
ejpam-5733	314	11	.	.	PUNCT
ejpam-5733	314	12	theorem	theorem	NOUN
ejpam-5733	314	13	8	8	NUM
ejpam-5733	314	14	.	.	PUNCT
ejpam-5733	315	1	let	let	AUX
ejpam-5733	315	2	(	(	PUNCT
ejpam-5733	315	3	u	u	NOUN
ejpam-5733	315	4	,	,	PUNCT
ejpam-5733	315	5	τe	τe	ADP
ejpam-5733	315	6	)	)	PUNCT
ejpam-5733	315	7	and	and	CCONJ
ejpam-5733	315	8	(	(	PUNCT
ejpam-5733	315	9	v	v	NOUN
ejpam-5733	315	10	,	,	PUNCT
ejpam-5733	315	11	τ∗f	τ∗f	NUM
ejpam-5733	315	12	)	)	PUNCT
ejpam-5733	315	13	be	be	AUX
ejpam-5733	315	14	an	an	DET
ejpam-5733	315	15	fstss	fstss	NOUN
ejpam-5733	315	16	and	and	CCONJ
ejpam-5733	315	17	φψ	φψ	X
ejpam-5733	315	18	:	:	PUNCT
ejpam-5733	315	19	(	(	PUNCT
ejpam-5733	315	20	̃u	̃u	PROPN
ejpam-5733	315	21	,	,	PUNCT
ejpam-5733	315	22	e	e	NOUN
ejpam-5733	315	23	)	)	PUNCT
ejpam-5733	315	24	−→	−→	NOUN
ejpam-5733	315	25	(	(	PUNCT
ejpam-5733	315	26	̃v	̃v	NOUN
ejpam-5733	315	27	,	,	PUNCT
ejpam-5733	315	28	f	f	PROPN
ejpam-5733	315	29	)	)	PUNCT
ejpam-5733	315	30	be	be	AUX
ejpam-5733	315	31	a	a	DET
ejpam-5733	315	32	fuzzy	fuzzy	ADJ
ejpam-5733	315	33	soft	soft	ADJ
ejpam-5733	315	34	function	function	NOUN
ejpam-5733	315	35	.	.	PUNCT
ejpam-5733	316	1	the	the	DET
ejpam-5733	316	2	following	follow	VERB
ejpam-5733	316	3	statements	statement	NOUN
ejpam-5733	316	4	are	be	AUX
ejpam-5733	316	5	equivalent	equivalent	ADJ
ejpam-5733	316	6	for	for	ADP
ejpam-5733	316	7	every	every	DET
ejpam-5733	316	8	gb	gb	NOUN
ejpam-5733	316	9	∈	∈	PROPN
ejpam-5733	316	10	(	(	PUNCT
ejpam-5733	316	11	̃v	̃v	NOUN
ejpam-5733	316	12	,	,	PUNCT
ejpam-5733	316	13	f	f	PROPN
ejpam-5733	316	14	)	)	PUNCT
ejpam-5733	316	15	,	,	PUNCT
ejpam-5733	316	16	e	e	PROPN
ejpam-5733	316	17	∈	∈	PROPN
ejpam-5733	316	18	e	e	NOUN
ejpam-5733	316	19	,	,	PUNCT
ejpam-5733	316	20	(	(	PUNCT
ejpam-5733	316	21	k	k	NOUN
ejpam-5733	316	22	=	=	PUNCT
ejpam-5733	316	23	ψ(e	ψ(e	PROPN
ejpam-5733	316	24	)	)	PUNCT
ejpam-5733	316	25	)	)	PUNCT
ejpam-5733	317	1	∈	∈	PROPN
ejpam-5733	317	2	f	f	X
ejpam-5733	317	3	,	,	PUNCT
ejpam-5733	317	4	and	and	CCONJ
ejpam-5733	317	5	r	r	NOUN
ejpam-5733	317	6	∈	∈	PROPN
ejpam-5733	317	7	i	i	NOUN
ejpam-5733	317	8	◦	◦	NOUN
ejpam-5733	317	9	.	.	PUNCT
ejpam-5733	318	1	(	(	PUNCT
ejpam-5733	318	2	i	i	NOUN
ejpam-5733	318	3	)	)	PUNCT
ejpam-5733	318	4	φψ	φψ	PROPN
ejpam-5733	318	5	is	be	AUX
ejpam-5733	318	6	fuzzy	fuzzy	ADJ
ejpam-5733	318	7	soft	soft	ADJ
ejpam-5733	318	8	δ	δ	NOUN
ejpam-5733	318	9	-	-	ADJ
ejpam-5733	318	10	continuous	continuous	ADJ
ejpam-5733	318	11	.	.	PUNCT
ejpam-5733	319	1	(	(	PUNCT
ejpam-5733	319	2	ii	ii	NOUN
ejpam-5733	319	3	)	)	PUNCT
ejpam-5733	319	4	iτ	iτ	NOUN
ejpam-5733	319	5	(	(	PUNCT
ejpam-5733	319	6	e	e	NOUN
ejpam-5733	319	7	,	,	PUNCT
ejpam-5733	319	8	cτ	cτ	INTJ
ejpam-5733	319	9	(	(	PUNCT
ejpam-5733	319	10	e	e	NOUN
ejpam-5733	319	11	,	,	PUNCT
ejpam-5733	319	12	φ	φ	PROPN
ejpam-5733	319	13	−1	−1	NOUN
ejpam-5733	319	14	ψ	ψ	X
ejpam-5733	319	15	(	(	PUNCT
ejpam-5733	319	16	gb	gb	NOUN
ejpam-5733	319	17	)	)	PUNCT
ejpam-5733	319	18	,	,	PUNCT
ejpam-5733	319	19	r	r	NOUN
ejpam-5733	319	20	)	)	PUNCT
ejpam-5733	319	21	,	,	PUNCT
ejpam-5733	319	22	r	r	X
ejpam-5733	319	23	)	)	PUNCT
ejpam-5733	319	24	⊑	⊑	PROPN
ejpam-5733	319	25	cτ	cτ	VERB
ejpam-5733	319	26	(	(	PUNCT
ejpam-5733	319	27	e	e	NOUN
ejpam-5733	319	28	,	,	PUNCT
ejpam-5733	319	29	iτ	iτ	X
ejpam-5733	319	30	(	(	PUNCT
ejpam-5733	319	31	e	e	NOUN
ejpam-5733	319	32	,	,	PUNCT
ejpam-5733	319	33	φ	φ	PROPN
ejpam-5733	319	34	−1	−1	NOUN
ejpam-5733	319	35	ψ	ψ	X
ejpam-5733	319	36	(	(	PUNCT
ejpam-5733	319	37	gb	gb	NOUN
ejpam-5733	319	38	)	)	PUNCT
ejpam-5733	319	39	,	,	PUNCT
ejpam-5733	319	40	r	r	NOUN
ejpam-5733	319	41	)	)	PUNCT
ejpam-5733	319	42	,	,	PUNCT
ejpam-5733	319	43	r	r	NOUN
ejpam-5733	319	44	)	)	PUNCT
ejpam-5733	319	45	,	,	PUNCT
ejpam-5733	319	46	if	if	SCONJ
ejpam-5733	319	47	τ	τ	PROPN
ejpam-5733	319	48	∗	∗	X
ejpam-5733	319	49	k	k	PROPN
ejpam-5733	319	50	(	(	PUNCT
ejpam-5733	319	51	g	g	PROPN
ejpam-5733	319	52	c	c	PROPN
ejpam-5733	319	53	b	b	PROPN
ejpam-5733	319	54	)	)	PUNCT
ejpam-5733	319	55	≥	≥	PROPN
ejpam-5733	319	56	r.	r.	PROPN
ejpam-5733	319	57	(	(	PUNCT
ejpam-5733	319	58	iii	iii	NOUN
ejpam-5733	319	59	)	)	PUNCT
ejpam-5733	319	60	iτ	iτ	NOUN
ejpam-5733	319	61	(	(	PUNCT
ejpam-5733	319	62	e	e	NOUN
ejpam-5733	319	63	,	,	PUNCT
ejpam-5733	319	64	cτ	cτ	INTJ
ejpam-5733	319	65	(	(	PUNCT
ejpam-5733	319	66	e	e	NOUN
ejpam-5733	319	67	,	,	PUNCT
ejpam-5733	319	68	φ	φ	PROPN
ejpam-5733	319	69	−1	−1	NOUN
ejpam-5733	319	70	ψ	ψ	X
ejpam-5733	319	71	(	(	PUNCT
ejpam-5733	319	72	gb	gb	NOUN
ejpam-5733	319	73	)	)	PUNCT
ejpam-5733	319	74	,	,	PUNCT
ejpam-5733	319	75	r	r	NOUN
ejpam-5733	319	76	)	)	PUNCT
ejpam-5733	319	77	,	,	PUNCT
ejpam-5733	319	78	r	r	X
ejpam-5733	319	79	)	)	PUNCT
ejpam-5733	319	80	⊑	⊑	PROPN
ejpam-5733	319	81	cτ	cτ	VERB
ejpam-5733	319	82	(	(	PUNCT
ejpam-5733	319	83	e	e	NOUN
ejpam-5733	319	84	,	,	PUNCT
ejpam-5733	319	85	iτ	iτ	X
ejpam-5733	319	86	(	(	PUNCT
ejpam-5733	319	87	e	e	NOUN
ejpam-5733	319	88	,	,	PUNCT
ejpam-5733	319	89	φ	φ	PROPN
ejpam-5733	319	90	−1	−1	NOUN
ejpam-5733	319	91	ψ	ψ	X
ejpam-5733	319	92	(	(	PUNCT
ejpam-5733	319	93	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	319	94	,	,	PUNCT
ejpam-5733	319	95	gb	gb	NOUN
ejpam-5733	319	96	,	,	PUNCT
ejpam-5733	319	97	r	r	NOUN
ejpam-5733	319	98	)	)	PUNCT
ejpam-5733	319	99	)	)	PUNCT
ejpam-5733	319	100	,	,	PUNCT
ejpam-5733	319	101	r	r	NOUN
ejpam-5733	319	102	)	)	PUNCT
ejpam-5733	319	103	,	,	PUNCT
ejpam-5733	319	104	r	r	NOUN
ejpam-5733	319	105	)	)	PUNCT
ejpam-5733	319	106	(	(	PUNCT
ejpam-5733	319	107	iv	iv	X
ejpam-5733	319	108	)	)	PUNCT
ejpam-5733	319	109	iτ	iτ	NOUN
ejpam-5733	319	110	(	(	PUNCT
ejpam-5733	319	111	e	e	NOUN
ejpam-5733	319	112	,	,	PUNCT
ejpam-5733	319	113	cτ	cτ	INTJ
ejpam-5733	319	114	(	(	PUNCT
ejpam-5733	319	115	e	e	NOUN
ejpam-5733	319	116	,	,	PUNCT
ejpam-5733	319	117	φ	φ	PROPN
ejpam-5733	319	118	−1	−1	NOUN
ejpam-5733	319	119	ψ	ψ	X
ejpam-5733	319	120	(	(	PUNCT
ejpam-5733	319	121	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	319	122	,	,	PUNCT
ejpam-5733	319	123	gb	gb	PRON
ejpam-5733	319	124	,	,	PUNCT
ejpam-5733	319	125	r	r	NOUN
ejpam-5733	319	126	)	)	PUNCT
ejpam-5733	319	127	)	)	PUNCT
ejpam-5733	319	128	,	,	PUNCT
ejpam-5733	319	129	r	r	NOUN
ejpam-5733	319	130	)	)	PUNCT
ejpam-5733	319	131	,	,	PUNCT
ejpam-5733	319	132	r	r	X
ejpam-5733	319	133	)	)	PUNCT
ejpam-5733	319	134	⊑	⊑	PROPN
ejpam-5733	319	135	cτ	cτ	VERB
ejpam-5733	319	136	(	(	PUNCT
ejpam-5733	319	137	e	e	NOUN
ejpam-5733	319	138	,	,	PUNCT
ejpam-5733	319	139	iτ	iτ	X
ejpam-5733	319	140	(	(	PUNCT
ejpam-5733	319	141	e	e	NOUN
ejpam-5733	319	142	,	,	PUNCT
ejpam-5733	319	143	φ	φ	PROPN
ejpam-5733	319	144	−1	−1	NOUN
ejpam-5733	319	145	ψ	ψ	X
ejpam-5733	319	146	(	(	PUNCT
ejpam-5733	319	147	gb	gb	NOUN
ejpam-5733	319	148	)	)	PUNCT
ejpam-5733	319	149	,	,	PUNCT
ejpam-5733	319	150	r	r	NOUN
ejpam-5733	319	151	)	)	PUNCT
ejpam-5733	319	152	,	,	PUNCT
ejpam-5733	319	153	r	r	NOUN
ejpam-5733	319	154	)	)	PUNCT
ejpam-5733	319	155	.	.	PUNCT
ejpam-5733	320	1	proposition	proposition	NOUN
ejpam-5733	320	2	5	5	NUM
ejpam-5733	320	3	.	.	PUNCT
ejpam-5733	321	1	let	let	VERB
ejpam-5733	321	2	(	(	PUNCT
ejpam-5733	321	3	u	u	NOUN
ejpam-5733	321	4	,	,	PUNCT
ejpam-5733	321	5	τe	τe	NOUN
ejpam-5733	321	6	)	)	PUNCT
ejpam-5733	321	7	,	,	PUNCT
ejpam-5733	321	8	(	(	PUNCT
ejpam-5733	321	9	v	v	NOUN
ejpam-5733	321	10	,	,	PUNCT
ejpam-5733	321	11	τ	τ	PROPN
ejpam-5733	321	12	∗	∗	X
ejpam-5733	321	13	f	f	PROPN
ejpam-5733	321	14	)	)	PUNCT
ejpam-5733	321	15	,	,	PUNCT
ejpam-5733	321	16	and	and	CCONJ
ejpam-5733	321	17	(	(	PUNCT
ejpam-5733	321	18	w	w	NOUN
ejpam-5733	321	19	,	,	PUNCT
ejpam-5733	321	20	γh	γh	VERB
ejpam-5733	321	21	)	)	PUNCT
ejpam-5733	321	22	be	be	AUX
ejpam-5733	321	23	an	an	DET
ejpam-5733	321	24	fstss	fstss	NOUN
ejpam-5733	321	25	and	and	CCONJ
ejpam-5733	321	26	φψ	φψ	X
ejpam-5733	321	27	:	:	PUNCT
ejpam-5733	321	28	(	(	PUNCT
ejpam-5733	321	29	̃u	̃u	PROPN
ejpam-5733	321	30	,	,	PUNCT
ejpam-5733	321	31	e	e	NOUN
ejpam-5733	321	32	)	)	PUNCT
ejpam-5733	321	33	−→	−→	NOUN
ejpam-5733	321	34	(	(	PUNCT
ejpam-5733	321	35	̃v	̃v	NOUN
ejpam-5733	321	36	,	,	PUNCT
ejpam-5733	321	37	f	f	PROPN
ejpam-5733	321	38	)	)	PUNCT
ejpam-5733	321	39	,	,	PUNCT
ejpam-5733	321	40	φ∗	φ∗	NOUN
ejpam-5733	321	41	ψ∗	ψ∗	NOUN
ejpam-5733	321	42	:	:	PUNCT
ejpam-5733	321	43	(	(	PUNCT
ejpam-5733	321	44	̃v	̃v	NOUN
ejpam-5733	321	45	,	,	PUNCT
ejpam-5733	321	46	f	f	PROPN
ejpam-5733	321	47	)	)	PUNCT
ejpam-5733	322	1	−→	−→	PROPN
ejpam-5733	322	2	˜(w	˜(w	PROPN
ejpam-5733	322	3	,	,	PUNCT
ejpam-5733	322	4	h	h	NOUN
ejpam-5733	322	5	)	)	PUNCT
ejpam-5733	322	6	be	be	VERB
ejpam-5733	322	7	two	two	NUM
ejpam-5733	322	8	fuzzy	fuzzy	ADJ
ejpam-5733	322	9	soft	soft	ADJ
ejpam-5733	322	10	functions	function	NOUN
ejpam-5733	322	11	.	.	PUNCT
ejpam-5733	323	1	then	then	ADV
ejpam-5733	323	2	,	,	PUNCT
ejpam-5733	323	3	the	the	DET
ejpam-5733	323	4	composition	composition	NOUN
ejpam-5733	323	5	φ∗	φ∗	NOUN
ejpam-5733	323	6	ψ∗	ψ∗	NOUN
ejpam-5733	323	7	◦	◦	NOUN
ejpam-5733	323	8	φψ	φψ	NOUN
ejpam-5733	323	9	is	be	AUX
ejpam-5733	323	10	fuzzy	fuzzy	ADJ
ejpam-5733	323	11	soft	soft	ADJ
ejpam-5733	323	12	δ	δ	NOUN
ejpam-5733	323	13	-	-	ADJ
ejpam-5733	323	14	continuous	continuous	ADJ
ejpam-5733	323	15	(	(	PUNCT
ejpam-5733	323	16	resp	resp	NOUN
ejpam-5733	323	17	.	.	PUNCT
ejpam-5733	323	18	,	,	PUNCT
ejpam-5733	323	19	β	β	X
ejpam-5733	323	20	-	-	ADJ
ejpam-5733	323	21	continuous	continuous	ADJ
ejpam-5733	323	22	)	)	PUNCT
ejpam-5733	323	23	if	if	SCONJ
ejpam-5733	323	24	φψ	φψ	NOUN
ejpam-5733	323	25	is	be	AUX
ejpam-5733	323	26	fuzzy	fuzzy	ADJ
ejpam-5733	323	27	soft	soft	ADJ
ejpam-5733	323	28	δ	δ	NOUN
ejpam-5733	323	29	-	-	ADJ
ejpam-5733	323	30	continuous	continuous	ADJ
ejpam-5733	323	31	(	(	PUNCT
ejpam-5733	323	32	resp	resp	NOUN
ejpam-5733	323	33	.	.	PUNCT
ejpam-5733	323	34	,	,	PUNCT
ejpam-5733	323	35	βcontinuous	βcontinuous	ADJ
ejpam-5733	323	36	)	)	PUNCT
ejpam-5733	323	37	and	and	CCONJ
ejpam-5733	323	38	φ∗	φ∗	NOUN
ejpam-5733	323	39	ψ∗	ψ∗	NOUN
ejpam-5733	323	40	is	be	AUX
ejpam-5733	323	41	fuzzy	fuzzy	ADJ
ejpam-5733	323	42	soft	soft	ADJ
ejpam-5733	323	43	continuous	continuous	ADJ
ejpam-5733	323	44	.	.	PUNCT
ejpam-5733	324	1	proof	proof	NOUN
ejpam-5733	324	2	.	.	PUNCT
ejpam-5733	325	1	obvious	obvious	ADJ
ejpam-5733	325	2	.	.	PUNCT
ejpam-5733	326	1	4	4	X
ejpam-5733	326	2	.	.	X
ejpam-5733	326	3	some	some	DET
ejpam-5733	326	4	weaker	weak	ADJ
ejpam-5733	326	5	forms	form	NOUN
ejpam-5733	326	6	of	of	ADP
ejpam-5733	326	7	fuzzy	fuzzy	ADJ
ejpam-5733	326	8	soft	soft	ADJ
ejpam-5733	326	9	continuity	continuity	NOUN
ejpam-5733	326	10	here	here	ADV
ejpam-5733	326	11	,	,	PUNCT
ejpam-5733	326	12	as	as	ADP
ejpam-5733	326	13	a	a	DET
ejpam-5733	326	14	weaker	weak	ADJ
ejpam-5733	326	15	form	form	NOUN
ejpam-5733	326	16	of	of	ADP
ejpam-5733	326	17	fuzzy	fuzzy	ADJ
ejpam-5733	326	18	soft	soft	ADJ
ejpam-5733	326	19	continuity	continuity	NOUN
ejpam-5733	326	20	[	[	X
ejpam-5733	326	21	20	20	NUM
ejpam-5733	326	22	]	]	PUNCT
ejpam-5733	326	23	,	,	PUNCT
ejpam-5733	326	24	the	the	DET
ejpam-5733	326	25	concepts	concept	NOUN
ejpam-5733	326	26	of	of	ADP
ejpam-5733	326	27	fuzzy	fuzzy	ADJ
ejpam-5733	326	28	soft	soft	ADJ
ejpam-5733	326	29	almost	almost	ADV
ejpam-5733	326	30	(	(	PUNCT
ejpam-5733	326	31	weakly	weakly	ADJ
ejpam-5733	326	32	)	)	PUNCT
ejpam-5733	326	33	continuous	continuous	ADJ
ejpam-5733	326	34	functions	function	NOUN
ejpam-5733	326	35	are	be	AUX
ejpam-5733	326	36	introduced	introduce	VERB
ejpam-5733	326	37	and	and	CCONJ
ejpam-5733	326	38	some	some	DET
ejpam-5733	326	39	properties	property	NOUN
ejpam-5733	326	40	are	be	AUX
ejpam-5733	326	41	obtained	obtain	VERB
ejpam-5733	326	42	.	.	PUNCT
ejpam-5733	327	1	furthermore	furthermore	ADV
ejpam-5733	327	2	,	,	PUNCT
ejpam-5733	327	3	we	we	PRON
ejpam-5733	327	4	show	show	VERB
ejpam-5733	327	5	that	that	SCONJ
ejpam-5733	327	6	fuzzy	fuzzy	ADJ
ejpam-5733	327	7	soft	soft	ADJ
ejpam-5733	327	8	continuity	continuity	NOUN
ejpam-5733	327	9	⇒	⇒	NOUN
ejpam-5733	327	10	fuzzy	fuzzy	ADJ
ejpam-5733	327	11	soft	soft	ADJ
ejpam-5733	327	12	almost	almost	ADV
ejpam-5733	327	13	continuity	continuity	NOUN
ejpam-5733	327	14	⇒	⇒	NOUN
ejpam-5733	327	15	fuzzy	fuzzy	ADJ
ejpam-5733	327	16	soft	soft	ADJ
ejpam-5733	327	17	weakly	weakly	ADJ
ejpam-5733	327	18	continuity	continuity	NOUN
ejpam-5733	327	19	,	,	PUNCT
ejpam-5733	327	20	but	but	CCONJ
ejpam-5733	327	21	the	the	DET
ejpam-5733	327	22	converse	converse	NOUN
ejpam-5733	327	23	may	may	AUX
ejpam-5733	327	24	not	not	PART
ejpam-5733	327	25	be	be	AUX
ejpam-5733	327	26	true	true	ADJ
ejpam-5733	327	27	.	.	PUNCT
ejpam-5733	328	1	finally	finally	ADV
ejpam-5733	328	2	,	,	PUNCT
ejpam-5733	328	3	we	we	PRON
ejpam-5733	328	4	introduce	introduce	VERB
ejpam-5733	328	5	the	the	DET
ejpam-5733	328	6	notion	notion	NOUN
ejpam-5733	328	7	of	of	ADP
ejpam-5733	328	8	continuity	continuity	NOUN
ejpam-5733	328	9	in	in	ADP
ejpam-5733	328	10	a	a	DET
ejpam-5733	328	11	very	very	ADV
ejpam-5733	328	12	general	general	ADJ
ejpam-5733	328	13	setting	setting	NOUN
ejpam-5733	328	14	called	call	VERB
ejpam-5733	328	15	fuzzy	fuzzy	ADJ
ejpam-5733	328	16	soft	soft	ADJ
ejpam-5733	328	17	(	(	PUNCT
ejpam-5733	328	18	l	l	NOUN
ejpam-5733	328	19	,	,	PUNCT
ejpam-5733	328	20	m	m	PROPN
ejpam-5733	328	21	,	,	PUNCT
ejpam-5733	328	22	n	n	CCONJ
ejpam-5733	328	23	,	,	PUNCT
ejpam-5733	328	24	o)-continuous	o)-continuous	ADJ
ejpam-5733	328	25	functions	function	NOUN
ejpam-5733	328	26	.	.	PUNCT
ejpam-5733	329	1	i.	i.	PROPN
ejpam-5733	329	2	alshammari	alshammari	PROPN
ejpam-5733	329	3	et	et	PROPN
ejpam-5733	329	4	al	al	PROPN
ejpam-5733	329	5	.	.	PUNCT
ejpam-5733	329	6	/	/	SYM
ejpam-5733	329	7	eur	eur	PROPN
ejpam-5733	329	8	.	.	PUNCT
ejpam-5733	330	1	j.	j.	PROPN
ejpam-5733	330	2	pure	pure	PROPN
ejpam-5733	330	3	appl	appl	PROPN
ejpam-5733	330	4	.	.	PROPN
ejpam-5733	330	5	math	math	PROPN
ejpam-5733	330	6	,	,	PUNCT
ejpam-5733	330	7	18	18	NUM
ejpam-5733	330	8	(	(	PUNCT
ejpam-5733	330	9	1	1	NUM
ejpam-5733	330	10	)	)	PUNCT
ejpam-5733	330	11	(	(	PUNCT
ejpam-5733	330	12	2025	2025	NUM
ejpam-5733	330	13	)	)	PUNCT
ejpam-5733	330	14	,	,	PUNCT
ejpam-5733	330	15	5733	5733	NUM
ejpam-5733	330	16	15	15	NUM
ejpam-5733	330	17	of	of	ADP
ejpam-5733	330	18	21	21	NUM
ejpam-5733	330	19	definition	definition	NOUN
ejpam-5733	330	20	12	12	NUM
ejpam-5733	330	21	.	.	PUNCT
ejpam-5733	331	1	let	let	AUX
ejpam-5733	331	2	(	(	PUNCT
ejpam-5733	331	3	u	u	NOUN
ejpam-5733	331	4	,	,	PUNCT
ejpam-5733	331	5	τe	τe	ADP
ejpam-5733	331	6	)	)	PUNCT
ejpam-5733	331	7	and	and	CCONJ
ejpam-5733	331	8	(	(	PUNCT
ejpam-5733	331	9	v	v	NOUN
ejpam-5733	331	10	,	,	PUNCT
ejpam-5733	331	11	τ∗f	τ∗f	NUM
ejpam-5733	331	12	)	)	PUNCT
ejpam-5733	331	13	be	be	AUX
ejpam-5733	331	14	an	an	DET
ejpam-5733	331	15	fstss	fstss	NOUN
ejpam-5733	331	16	.	.	PUNCT
ejpam-5733	332	1	a	a	DET
ejpam-5733	332	2	fuzzy	fuzzy	ADJ
ejpam-5733	332	3	soft	soft	ADJ
ejpam-5733	332	4	function	function	NOUN
ejpam-5733	332	5	φψ	φψ	NOUN
ejpam-5733	332	6	:	:	PUNCT
ejpam-5733	332	7	(	(	PUNCT
ejpam-5733	332	8	̃u	̃u	PROPN
ejpam-5733	332	9	,	,	PUNCT
ejpam-5733	332	10	e	e	NOUN
ejpam-5733	332	11	)	)	PUNCT
ejpam-5733	332	12	−→	−→	NOUN
ejpam-5733	332	13	(	(	PUNCT
ejpam-5733	332	14	̃v	̃v	NOUN
ejpam-5733	332	15	,	,	PUNCT
ejpam-5733	332	16	f	f	PROPN
ejpam-5733	332	17	)	)	PUNCT
ejpam-5733	332	18	is	be	AUX
ejpam-5733	332	19	said	say	VERB
ejpam-5733	332	20	to	to	PART
ejpam-5733	332	21	be	be	AUX
ejpam-5733	332	22	fuzzy	fuzzy	ADJ
ejpam-5733	332	23	soft	soft	ADJ
ejpam-5733	332	24	almost	almost	ADV
ejpam-5733	332	25	(	(	PUNCT
ejpam-5733	332	26	resp	resp	NOUN
ejpam-5733	332	27	.	.	PUNCT
ejpam-5733	332	28	,	,	PUNCT
ejpam-5733	332	29	weakly	weakly	ADJ
ejpam-5733	332	30	)	)	PUNCT
ejpam-5733	332	31	continuous	continuous	ADJ
ejpam-5733	332	32	if	if	SCONJ
ejpam-5733	332	33	for	for	ADP
ejpam-5733	332	34	each	each	DET
ejpam-5733	332	35	eut	eut	NOUN
ejpam-5733	332	36	∈	∈	NOUN
ejpam-5733	332	37	p̃t(u	p̃t(u	NOUN
ejpam-5733	332	38	)	)	PUNCT
ejpam-5733	332	39	and	and	CCONJ
ejpam-5733	332	40	each	each	DET
ejpam-5733	332	41	gb	gb	NOUN
ejpam-5733	332	42	∈	∈	PROPN
ejpam-5733	332	43	(	(	PUNCT
ejpam-5733	332	44	̃v	̃v	NOUN
ejpam-5733	332	45	,	,	PUNCT
ejpam-5733	332	46	f	f	PROPN
ejpam-5733	332	47	)	)	PUNCT
ejpam-5733	332	48	with	with	ADP
ejpam-5733	332	49	τ∗k	τ∗k	PUNCT
ejpam-5733	332	50	(	(	PUNCT
ejpam-5733	332	51	gb	gb	NOUN
ejpam-5733	332	52	)	)	PUNCT
ejpam-5733	332	53	≥	≥	NOUN
ejpam-5733	332	54	r	r	NOUN
ejpam-5733	332	55	containing	contain	VERB
ejpam-5733	332	56	φψ(eut	φψ(eut	NOUN
ejpam-5733	332	57	)	)	PUNCT
ejpam-5733	332	58	,	,	PUNCT
ejpam-5733	332	59	there	there	PRON
ejpam-5733	332	60	is	be	VERB
ejpam-5733	332	61	fa	fa	PRON
ejpam-5733	332	62	∈	∈	PROPN
ejpam-5733	332	63	(	(	PUNCT
ejpam-5733	332	64	̃u	̃u	PROPN
ejpam-5733	332	65	,	,	PUNCT
ejpam-5733	332	66	e	e	NOUN
ejpam-5733	332	67	)	)	PUNCT
ejpam-5733	332	68	with	with	ADP
ejpam-5733	332	69	τe(fa	τe(fa	NOUN
ejpam-5733	332	70	)	)	PUNCT
ejpam-5733	332	71	≥	≥	NOUN
ejpam-5733	333	1	r	r	NOUN
ejpam-5733	333	2	containing	contain	VERB
ejpam-5733	333	3	eut	eut	NOUN
ejpam-5733	333	4	,	,	PUNCT
ejpam-5733	333	5	such	such	ADJ
ejpam-5733	333	6	that	that	DET
ejpam-5733	333	7	φψ(fa	φψ(fa	NOUN
ejpam-5733	333	8	)	)	PUNCT
ejpam-5733	334	1	⊑	⊑	DET
ejpam-5733	334	2	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	334	3	,	,	PUNCT
ejpam-5733	334	4	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	334	5	,	,	PUNCT
ejpam-5733	334	6	gb	gb	NOUN
ejpam-5733	334	7	,	,	PUNCT
ejpam-5733	334	8	r	r	NOUN
ejpam-5733	334	9	)	)	PUNCT
ejpam-5733	334	10	,	,	PUNCT
ejpam-5733	334	11	r	r	NOUN
ejpam-5733	334	12	)	)	PUNCT
ejpam-5733	334	13	(	(	PUNCT
ejpam-5733	334	14	resp	resp	NOUN
ejpam-5733	334	15	.	.	PUNCT
ejpam-5733	334	16	,	,	PUNCT
ejpam-5733	334	17	φψ(fa	φψ(fa	PROPN
ejpam-5733	334	18	)	)	PUNCT
ejpam-5733	334	19	⊑	⊑	PRON
ejpam-5733	334	20	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	334	21	,	,	PUNCT
ejpam-5733	334	22	gb	gb	PRON
ejpam-5733	334	23	,	,	PUNCT
ejpam-5733	334	24	r	r	NOUN
ejpam-5733	334	25	)	)	PUNCT
ejpam-5733	334	26	)	)	PUNCT
ejpam-5733	334	27	.	.	PUNCT
ejpam-5733	335	1	theorem	theorem	VERB
ejpam-5733	335	2	9	9	NUM
ejpam-5733	335	3	.	.	PUNCT
ejpam-5733	336	1	let	let	AUX
ejpam-5733	336	2	(	(	PUNCT
ejpam-5733	336	3	u	u	NOUN
ejpam-5733	336	4	,	,	PUNCT
ejpam-5733	336	5	τe	τe	ADP
ejpam-5733	336	6	)	)	PUNCT
ejpam-5733	336	7	and	and	CCONJ
ejpam-5733	336	8	(	(	PUNCT
ejpam-5733	336	9	v	v	NOUN
ejpam-5733	336	10	,	,	PUNCT
ejpam-5733	336	11	τ∗f	τ∗f	NUM
ejpam-5733	336	12	)	)	PUNCT
ejpam-5733	336	13	be	be	AUX
ejpam-5733	336	14	an	an	DET
ejpam-5733	336	15	fstss	fstss	NOUN
ejpam-5733	336	16	and	and	CCONJ
ejpam-5733	336	17	φψ	φψ	X
ejpam-5733	336	18	:	:	PUNCT
ejpam-5733	336	19	(	(	PUNCT
ejpam-5733	336	20	̃u	̃u	PROPN
ejpam-5733	336	21	,	,	PUNCT
ejpam-5733	336	22	e	e	NOUN
ejpam-5733	336	23	)	)	PUNCT
ejpam-5733	336	24	−→	−→	NOUN
ejpam-5733	336	25	(	(	PUNCT
ejpam-5733	336	26	̃v	̃v	NOUN
ejpam-5733	336	27	,	,	PUNCT
ejpam-5733	336	28	f	f	PROPN
ejpam-5733	336	29	)	)	PUNCT
ejpam-5733	336	30	be	be	AUX
ejpam-5733	336	31	a	a	DET
ejpam-5733	336	32	fuzzy	fuzzy	ADJ
ejpam-5733	336	33	soft	soft	ADJ
ejpam-5733	336	34	function	function	NOUN
ejpam-5733	336	35	.	.	PUNCT
ejpam-5733	337	1	suppose	suppose	VERB
ejpam-5733	337	2	that	that	SCONJ
ejpam-5733	337	3	one	one	NUM
ejpam-5733	337	4	of	of	ADP
ejpam-5733	337	5	the	the	DET
ejpam-5733	337	6	following	following	NOUN
ejpam-5733	337	7	holds	hold	VERB
ejpam-5733	337	8	for	for	ADP
ejpam-5733	337	9	every	every	DET
ejpam-5733	337	10	gb	gb	NOUN
ejpam-5733	337	11	∈	∈	PROPN
ejpam-5733	337	12	(	(	PUNCT
ejpam-5733	337	13	̃v	̃v	NOUN
ejpam-5733	337	14	,	,	PUNCT
ejpam-5733	337	15	f	f	PROPN
ejpam-5733	337	16	)	)	PUNCT
ejpam-5733	337	17	,	,	PUNCT
ejpam-5733	337	18	e	e	PROPN
ejpam-5733	337	19	∈	∈	PROPN
ejpam-5733	337	20	e	e	NOUN
ejpam-5733	337	21	,	,	PUNCT
ejpam-5733	337	22	(	(	PUNCT
ejpam-5733	337	23	k	k	NOUN
ejpam-5733	337	24	=	=	PUNCT
ejpam-5733	337	25	ψ(e	ψ(e	PROPN
ejpam-5733	337	26	)	)	PUNCT
ejpam-5733	337	27	)	)	PUNCT
ejpam-5733	338	1	∈	∈	PROPN
ejpam-5733	338	2	f	f	X
ejpam-5733	338	3	,	,	PUNCT
ejpam-5733	338	4	and	and	CCONJ
ejpam-5733	338	5	r	r	NOUN
ejpam-5733	338	6	∈	∈	PROPN
ejpam-5733	338	7	i	i	PRON
ejpam-5733	338	8	◦	◦	NOUN
ejpam-5733	338	9	:	:	PUNCT
ejpam-5733	338	10	(	(	PUNCT
ejpam-5733	338	11	i	i	NOUN
ejpam-5733	338	12	)	)	PUNCT
ejpam-5733	338	13	if	if	SCONJ
ejpam-5733	338	14	τ∗k	τ∗k	NUM
ejpam-5733	338	15	(	(	PUNCT
ejpam-5733	338	16	gb	gb	NOUN
ejpam-5733	338	17	)	)	PUNCT
ejpam-5733	338	18	≥	≥	NOUN
ejpam-5733	338	19	r	r	NOUN
ejpam-5733	338	20	,	,	PUNCT
ejpam-5733	338	21	φ−1	φ−1	PROPN
ejpam-5733	338	22	ψ	ψ	SYM
ejpam-5733	338	23	(	(	PUNCT
ejpam-5733	338	24	gb	gb	PROPN
ejpam-5733	338	25	)	)	PUNCT
ejpam-5733	338	26	⊑	⊑	X
ejpam-5733	338	27	iτ	iτ	X
ejpam-5733	338	28	(	(	PUNCT
ejpam-5733	338	29	e	e	PROPN
ejpam-5733	338	30	,	,	PUNCT
ejpam-5733	338	31	φ	φ	PROPN
ejpam-5733	338	32	−1	−1	NOUN
ejpam-5733	338	33	ψ	ψ	X
ejpam-5733	338	34	(	(	PUNCT
ejpam-5733	338	35	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	338	36	,	,	PUNCT
ejpam-5733	338	37	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	338	38	,	,	PUNCT
ejpam-5733	338	39	gb	gb	NOUN
ejpam-5733	338	40	,	,	PUNCT
ejpam-5733	338	41	r	r	NOUN
ejpam-5733	338	42	)	)	PUNCT
ejpam-5733	338	43	,	,	PUNCT
ejpam-5733	338	44	r	r	NOUN
ejpam-5733	338	45	)	)	PUNCT
ejpam-5733	338	46	)	)	PUNCT
ejpam-5733	338	47	,	,	PUNCT
ejpam-5733	338	48	r	r	NOUN
ejpam-5733	338	49	)	)	PUNCT
ejpam-5733	338	50	.	.	PUNCT
ejpam-5733	339	1	(	(	PUNCT
ejpam-5733	339	2	ii	ii	NOUN
ejpam-5733	339	3	)	)	PUNCT
ejpam-5733	339	4	cτ	cτ	VERB
ejpam-5733	339	5	(	(	PUNCT
ejpam-5733	339	6	e	e	NOUN
ejpam-5733	339	7	,	,	PUNCT
ejpam-5733	339	8	φ	φ	PROPN
ejpam-5733	339	9	−1	−1	NOUN
ejpam-5733	339	10	ψ	ψ	X
ejpam-5733	339	11	(	(	PUNCT
ejpam-5733	339	12	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	339	13	,	,	PUNCT
ejpam-5733	339	14	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	339	15	,	,	PUNCT
ejpam-5733	339	16	gb	gb	PRON
ejpam-5733	339	17	,	,	PUNCT
ejpam-5733	339	18	r	r	NOUN
ejpam-5733	339	19	)	)	PUNCT
ejpam-5733	339	20	,	,	PUNCT
ejpam-5733	339	21	r	r	NOUN
ejpam-5733	339	22	)	)	PUNCT
ejpam-5733	339	23	)	)	PUNCT
ejpam-5733	339	24	,	,	PUNCT
ejpam-5733	340	1	r	r	X
ejpam-5733	340	2	)	)	PUNCT
ejpam-5733	340	3	⊑	⊑	X
ejpam-5733	340	4	φ−1	φ−1	PROPN
ejpam-5733	340	5	ψ	ψ	PROPN
ejpam-5733	340	6	(	(	PUNCT
ejpam-5733	340	7	gb	gb	NOUN
ejpam-5733	340	8	)	)	PUNCT
ejpam-5733	340	9	if	if	SCONJ
ejpam-5733	340	10	τ	τ	PROPN
ejpam-5733	340	11	∗	∗	X
ejpam-5733	340	12	k	k	PROPN
ejpam-5733	340	13	(	(	PUNCT
ejpam-5733	340	14	g	g	PROPN
ejpam-5733	340	15	c	c	PROPN
ejpam-5733	340	16	b	b	PROPN
ejpam-5733	340	17	)	)	PUNCT
ejpam-5733	340	18	≥	≥	PROPN
ejpam-5733	340	19	r.	r.	PROPN
ejpam-5733	340	20	then	then	ADV
ejpam-5733	340	21	,	,	PUNCT
ejpam-5733	340	22	φψ	φψ	X
ejpam-5733	340	23	is	be	AUX
ejpam-5733	340	24	fuzzy	fuzzy	ADJ
ejpam-5733	340	25	soft	soft	ADJ
ejpam-5733	340	26	almost	almost	ADV
ejpam-5733	340	27	continuous	continuous	ADJ
ejpam-5733	340	28	.	.	PUNCT
ejpam-5733	341	1	proof	proof	NOUN
ejpam-5733	341	2	.	.	PUNCT
ejpam-5733	342	1	(	(	PUNCT
ejpam-5733	342	2	i	i	NOUN
ejpam-5733	342	3	)	)	PUNCT
ejpam-5733	342	4	⇒	⇒	PROPN
ejpam-5733	342	5	(	(	PUNCT
ejpam-5733	342	6	ii	ii	NOUN
ejpam-5733	342	7	)	)	PUNCT
ejpam-5733	342	8	let	let	VERB
ejpam-5733	342	9	gb	gb	PRON
ejpam-5733	342	10	∈	∈	PROPN
ejpam-5733	342	11	(	(	PUNCT
ejpam-5733	342	12	̃v	̃v	NOUN
ejpam-5733	342	13	,	,	PUNCT
ejpam-5733	342	14	f	f	PROPN
ejpam-5733	342	15	)	)	PUNCT
ejpam-5733	342	16	with	with	ADP
ejpam-5733	342	17	τ∗k	τ∗k	PUNCT
ejpam-5733	342	18	(	(	PUNCT
ejpam-5733	342	19	g	g	PROPN
ejpam-5733	342	20	c	c	PROPN
ejpam-5733	342	21	b	b	PROPN
ejpam-5733	342	22	)	)	PUNCT
ejpam-5733	342	23	≥	≥	PROPN
ejpam-5733	342	24	r.	r.	NOUN
ejpam-5733	342	25	from	from	ADP
ejpam-5733	342	26	(	(	PUNCT
ejpam-5733	342	27	i	i	PROPN
ejpam-5733	342	28	)	)	PUNCT
ejpam-5733	342	29	,	,	PUNCT
ejpam-5733	342	30	it	it	PRON
ejpam-5733	342	31	follows	follow	VERB
ejpam-5733	342	32	φ−1	φ−1	PROPN
ejpam-5733	342	33	ψ	ψ	SYM
ejpam-5733	342	34	(	(	PUNCT
ejpam-5733	342	35	gcb	gcb	X
ejpam-5733	342	36	)	)	PUNCT
ejpam-5733	342	37	⊑	⊑	X
ejpam-5733	343	1	iτ	iτ	X
ejpam-5733	343	2	(	(	PUNCT
ejpam-5733	343	3	e	e	PROPN
ejpam-5733	343	4	,	,	PUNCT
ejpam-5733	343	5	φ	φ	PROPN
ejpam-5733	343	6	−1	−1	NOUN
ejpam-5733	343	7	ψ	ψ	X
ejpam-5733	343	8	(	(	PUNCT
ejpam-5733	343	9	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	343	10	,	,	PUNCT
ejpam-5733	343	11	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	343	12	,	,	PUNCT
ejpam-5733	343	13	g	g	PROPN
ejpam-5733	343	14	c	c	PROPN
ejpam-5733	343	15	b	b	PROPN
ejpam-5733	343	16	,	,	PUNCT
ejpam-5733	343	17	r	r	NOUN
ejpam-5733	343	18	)	)	PUNCT
ejpam-5733	343	19	,	,	PUNCT
ejpam-5733	343	20	r	r	NOUN
ejpam-5733	343	21	)	)	PUNCT
ejpam-5733	343	22	)	)	PUNCT
ejpam-5733	343	23	,	,	PUNCT
ejpam-5733	343	24	r	r	X
ejpam-5733	343	25	)	)	PUNCT
ejpam-5733	343	26	=	=	NOUN
ejpam-5733	343	27	iτ	iτ	INTJ
ejpam-5733	343	28	(	(	PUNCT
ejpam-5733	343	29	e	e	NOUN
ejpam-5733	343	30	,	,	PUNCT
ejpam-5733	343	31	φ	φ	PROPN
ejpam-5733	343	32	−1	−1	NOUN
ejpam-5733	343	33	ψ	ψ	X
ejpam-5733	343	34	(	(	PUNCT
ejpam-5733	343	35	(	(	PUNCT
ejpam-5733	343	36	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	343	37	,	,	PUNCT
ejpam-5733	343	38	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	343	39	,	,	PUNCT
ejpam-5733	343	40	gb	gb	PRON
ejpam-5733	343	41	,	,	PUNCT
ejpam-5733	343	42	r	r	NOUN
ejpam-5733	343	43	)	)	PUNCT
ejpam-5733	343	44	,	,	PUNCT
ejpam-5733	343	45	r	r	NOUN
ejpam-5733	343	46	)	)	PUNCT
ejpam-5733	343	47	)	)	PUNCT
ejpam-5733	343	48	c	c	X
ejpam-5733	343	49	)	)	PUNCT
ejpam-5733	343	50	,	,	PUNCT
ejpam-5733	343	51	r	r	NOUN
ejpam-5733	343	52	)	)	PUNCT
ejpam-5733	343	53	=	=	NOUN
ejpam-5733	343	54	iτ	iτ	INTJ
ejpam-5733	343	55	(	(	PUNCT
ejpam-5733	343	56	e	e	NOUN
ejpam-5733	343	57	,	,	PUNCT
ejpam-5733	343	58	(	(	PUNCT
ejpam-5733	343	59	φ	φ	NUM
ejpam-5733	343	60	−1	−1	NOUN
ejpam-5733	343	61	ψ	ψ	X
ejpam-5733	343	62	(	(	PUNCT
ejpam-5733	343	63	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	343	64	,	,	PUNCT
ejpam-5733	343	65	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	343	66	,	,	PUNCT
ejpam-5733	343	67	gb	gb	PRON
ejpam-5733	343	68	,	,	PUNCT
ejpam-5733	343	69	r	r	NOUN
ejpam-5733	343	70	)	)	PUNCT
ejpam-5733	343	71	,	,	PUNCT
ejpam-5733	343	72	r	r	NOUN
ejpam-5733	343	73	)	)	PUNCT
ejpam-5733	343	74	)	)	PUNCT
ejpam-5733	343	75	)	)	PUNCT
ejpam-5733	344	1	c	c	X
ejpam-5733	344	2	,	,	PUNCT
ejpam-5733	344	3	r	r	NOUN
ejpam-5733	344	4	)	)	PUNCT
ejpam-5733	344	5	=	=	SYM
ejpam-5733	344	6	(	(	PUNCT
ejpam-5733	344	7	cτ	cτ	INTJ
ejpam-5733	344	8	(	(	PUNCT
ejpam-5733	344	9	e	e	NOUN
ejpam-5733	344	10	,	,	PUNCT
ejpam-5733	344	11	φ	φ	PROPN
ejpam-5733	344	12	−1	−1	NOUN
ejpam-5733	344	13	ψ	ψ	X
ejpam-5733	344	14	(	(	PUNCT
ejpam-5733	344	15	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	344	16	,	,	PUNCT
ejpam-5733	344	17	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	344	18	,	,	PUNCT
ejpam-5733	344	19	gb	gb	PRON
ejpam-5733	344	20	,	,	PUNCT
ejpam-5733	344	21	r	r	NOUN
ejpam-5733	344	22	)	)	PUNCT
ejpam-5733	344	23	,	,	PUNCT
ejpam-5733	344	24	r	r	NOUN
ejpam-5733	344	25	)	)	PUNCT
ejpam-5733	344	26	)	)	PUNCT
ejpam-5733	344	27	,	,	PUNCT
ejpam-5733	344	28	r	r	NOUN
ejpam-5733	344	29	)	)	PUNCT
ejpam-5733	344	30	)	)	PUNCT
ejpam-5733	344	31	c.	c.	PROPN
ejpam-5733	344	32	hence	hence	ADV
ejpam-5733	344	33	,	,	PUNCT
ejpam-5733	344	34	cτ	cτ	INTJ
ejpam-5733	344	35	(	(	PUNCT
ejpam-5733	344	36	e	e	NOUN
ejpam-5733	344	37	,	,	PUNCT
ejpam-5733	344	38	φ	φ	PROPN
ejpam-5733	344	39	−1	−1	NOUN
ejpam-5733	344	40	ψ	ψ	X
ejpam-5733	344	41	(	(	PUNCT
ejpam-5733	344	42	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	344	43	,	,	PUNCT
ejpam-5733	344	44	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	344	45	,	,	PUNCT
ejpam-5733	344	46	gb	gb	PRON
ejpam-5733	344	47	,	,	PUNCT
ejpam-5733	344	48	r	r	NOUN
ejpam-5733	344	49	)	)	PUNCT
ejpam-5733	344	50	,	,	PUNCT
ejpam-5733	344	51	r	r	NOUN
ejpam-5733	344	52	)	)	PUNCT
ejpam-5733	344	53	)	)	PUNCT
ejpam-5733	344	54	,	,	PUNCT
ejpam-5733	344	55	r	r	X
ejpam-5733	344	56	)	)	PUNCT
ejpam-5733	344	57	⊑	⊑	X
ejpam-5733	344	58	φ−1	φ−1	PROPN
ejpam-5733	344	59	ψ	ψ	X
ejpam-5733	344	60	(	(	PUNCT
ejpam-5733	344	61	gb	gb	NOUN
ejpam-5733	344	62	)	)	PUNCT
ejpam-5733	344	63	.	.	PUNCT
ejpam-5733	345	1	similarly	similarly	ADV
ejpam-5733	345	2	,	,	PUNCT
ejpam-5733	345	3	we	we	PRON
ejpam-5733	345	4	get	get	VERB
ejpam-5733	345	5	(	(	PUNCT
ejpam-5733	345	6	ii	ii	NOUN
ejpam-5733	345	7	)	)	PUNCT
ejpam-5733	345	8	⇒	⇒	NOUN
ejpam-5733	345	9	(	(	PUNCT
ejpam-5733	345	10	i	i	NOUN
ejpam-5733	345	11	)	)	PUNCT
ejpam-5733	345	12	.	.	PUNCT
ejpam-5733	346	1	suppose	suppose	VERB
ejpam-5733	346	2	that	that	SCONJ
ejpam-5733	346	3	(	(	PUNCT
ejpam-5733	346	4	i	i	NOUN
ejpam-5733	346	5	)	)	PUNCT
ejpam-5733	346	6	holds	hold	VERB
ejpam-5733	346	7	.	.	PUNCT
ejpam-5733	347	1	let	let	VERB
ejpam-5733	347	2	eut	eut	NOUN
ejpam-5733	347	3	∈	∈	PROPN
ejpam-5733	347	4	p̃t(u	p̃t(u	VERB
ejpam-5733	347	5	)	)	PUNCT
ejpam-5733	347	6	and	and	CCONJ
ejpam-5733	347	7	gb	gb	ADP
ejpam-5733	347	8	∈	∈	PROPN
ejpam-5733	347	9	(	(	PUNCT
ejpam-5733	347	10	̃v	̃v	NOUN
ejpam-5733	347	11	,	,	PUNCT
ejpam-5733	347	12	f	f	PROPN
ejpam-5733	347	13	)	)	PUNCT
ejpam-5733	347	14	with	with	ADP
ejpam-5733	347	15	τ∗k	τ∗k	PUNCT
ejpam-5733	347	16	(	(	PUNCT
ejpam-5733	347	17	gb	gb	NOUN
ejpam-5733	347	18	)	)	PUNCT
ejpam-5733	347	19	≥	≥	NOUN
ejpam-5733	347	20	r	r	NOUN
ejpam-5733	347	21	containing	contain	VERB
ejpam-5733	347	22	φψ(eut	φψ(eut	NOUN
ejpam-5733	347	23	)	)	PUNCT
ejpam-5733	347	24	.	.	PUNCT
ejpam-5733	348	1	then	then	ADV
ejpam-5733	348	2	,	,	PUNCT
ejpam-5733	348	3	by	by	ADP
ejpam-5733	348	4	(	(	PUNCT
ejpam-5733	348	5	i	i	NOUN
ejpam-5733	348	6	)	)	PUNCT
ejpam-5733	348	7	,	,	PUNCT
ejpam-5733	348	8	eut∈̃iτ	eut∈̃iτ	PROPN
ejpam-5733	348	9	(	(	PUNCT
ejpam-5733	348	10	e	e	NOUN
ejpam-5733	348	11	,	,	PUNCT
ejpam-5733	348	12	φ−1	φ−1	PROPN
ejpam-5733	348	13	ψ	ψ	SYM
ejpam-5733	348	14	(	(	PUNCT
ejpam-5733	348	15	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	348	16	,	,	PUNCT
ejpam-5733	348	17	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	348	18	,	,	PUNCT
ejpam-5733	348	19	gb	gb	NOUN
ejpam-5733	348	20	,	,	PUNCT
ejpam-5733	348	21	r	r	NOUN
ejpam-5733	348	22	)	)	PUNCT
ejpam-5733	348	23	,	,	PUNCT
ejpam-5733	348	24	r	r	NOUN
ejpam-5733	348	25	)	)	PUNCT
ejpam-5733	348	26	)	)	PUNCT
ejpam-5733	348	27	,	,	PUNCT
ejpam-5733	348	28	r	r	NOUN
ejpam-5733	348	29	)	)	PUNCT
ejpam-5733	348	30	,	,	PUNCT
ejpam-5733	348	31	and	and	CCONJ
ejpam-5733	348	32	so	so	ADV
ejpam-5733	348	33	there	there	PRON
ejpam-5733	348	34	is	be	VERB
ejpam-5733	348	35	fa	fa	PRON
ejpam-5733	348	36	∈	∈	PROPN
ejpam-5733	348	37	(	(	PUNCT
ejpam-5733	348	38	̃u	̃u	PROPN
ejpam-5733	348	39	,	,	PUNCT
ejpam-5733	348	40	e	e	NOUN
ejpam-5733	348	41	)	)	PUNCT
ejpam-5733	348	42	with	with	ADP
ejpam-5733	348	43	τe(fa	τe(fa	NOUN
ejpam-5733	348	44	)	)	PUNCT
ejpam-5733	349	1	≥	≥	NOUN
ejpam-5733	350	1	r	r	NOUN
ejpam-5733	350	2	containing	contain	VERB
ejpam-5733	350	3	eut	eut	NOUN
ejpam-5733	350	4	such	such	ADJ
ejpam-5733	350	5	that	that	SCONJ
ejpam-5733	350	6	fa	fa	PROPN
ejpam-5733	350	7	⊑	⊑	DET
ejpam-5733	350	8	φ−1	φ−1	PROPN
ejpam-5733	350	9	ψ	ψ	X
ejpam-5733	350	10	(	(	PUNCT
ejpam-5733	350	11	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	350	12	,	,	PUNCT
ejpam-5733	350	13	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	350	14	,	,	PUNCT
ejpam-5733	350	15	gb	gb	NOUN
ejpam-5733	350	16	,	,	PUNCT
ejpam-5733	350	17	r	r	NOUN
ejpam-5733	350	18	)	)	PUNCT
ejpam-5733	350	19	,	,	PUNCT
ejpam-5733	350	20	r	r	NOUN
ejpam-5733	350	21	)	)	PUNCT
ejpam-5733	350	22	)	)	PUNCT
ejpam-5733	350	23	.	.	PUNCT
ejpam-5733	351	1	hence	hence	ADV
ejpam-5733	351	2	,	,	PUNCT
ejpam-5733	351	3	φψ(fa	φψ(fa	PROPN
ejpam-5733	351	4	)	)	PUNCT
ejpam-5733	352	1	⊑	⊑	DET
ejpam-5733	352	2	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	352	3	,	,	PUNCT
ejpam-5733	352	4	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	352	5	,	,	PUNCT
ejpam-5733	352	6	gb	gb	NOUN
ejpam-5733	352	7	,	,	PUNCT
ejpam-5733	352	8	r	r	NOUN
ejpam-5733	352	9	)	)	PUNCT
ejpam-5733	352	10	,	,	PUNCT
ejpam-5733	352	11	r	r	NOUN
ejpam-5733	352	12	)	)	PUNCT
ejpam-5733	352	13	.	.	PUNCT
ejpam-5733	353	1	then	then	ADV
ejpam-5733	353	2	,	,	PUNCT
ejpam-5733	353	3	φψ	φψ	X
ejpam-5733	353	4	is	be	AUX
ejpam-5733	353	5	fuzzy	fuzzy	ADJ
ejpam-5733	353	6	soft	soft	ADJ
ejpam-5733	353	7	almost	almost	ADV
ejpam-5733	353	8	continuous	continuous	ADJ
ejpam-5733	353	9	.	.	PUNCT
ejpam-5733	354	1	lemma	lemma	PROPN
ejpam-5733	354	2	2	2	NUM
ejpam-5733	354	3	.	.	PUNCT
ejpam-5733	355	1	every	every	DET
ejpam-5733	355	2	fuzzy	fuzzy	ADJ
ejpam-5733	355	3	soft	soft	ADJ
ejpam-5733	355	4	continuous	continuous	ADJ
ejpam-5733	355	5	function	function	NOUN
ejpam-5733	355	6	[	[	X
ejpam-5733	355	7	20	20	NUM
ejpam-5733	355	8	]	]	PUNCT
ejpam-5733	355	9	is	be	AUX
ejpam-5733	355	10	fuzzy	fuzzy	ADJ
ejpam-5733	355	11	soft	soft	ADJ
ejpam-5733	355	12	almost	almost	ADV
ejpam-5733	355	13	continuous	continuous	ADJ
ejpam-5733	355	14	.	.	PUNCT
ejpam-5733	356	1	proof	proof	NOUN
ejpam-5733	356	2	.	.	PUNCT
ejpam-5733	357	1	it	it	PRON
ejpam-5733	357	2	follows	follow	VERB
ejpam-5733	357	3	from	from	ADP
ejpam-5733	357	4	definitions	definition	NOUN
ejpam-5733	357	5	5	5	NUM
ejpam-5733	357	6	and	and	CCONJ
ejpam-5733	357	7	12	12	NUM
ejpam-5733	357	8	.	.	PUNCT
ejpam-5733	358	1	remark	remark	PROPN
ejpam-5733	358	2	8	8	NUM
ejpam-5733	358	3	.	.	PUNCT
ejpam-5733	359	1	in	in	ADP
ejpam-5733	359	2	general	general	ADJ
ejpam-5733	359	3	,	,	PUNCT
ejpam-5733	359	4	the	the	DET
ejpam-5733	359	5	converse	converse	NOUN
ejpam-5733	359	6	of	of	ADP
ejpam-5733	359	7	lemma	lemma	PROPN
ejpam-5733	359	8	2	2	NUM
ejpam-5733	359	9	is	be	AUX
ejpam-5733	359	10	not	not	PART
ejpam-5733	359	11	true	true	ADJ
ejpam-5733	359	12	,	,	PUNCT
ejpam-5733	359	13	as	as	SCONJ
ejpam-5733	359	14	shown	show	VERB
ejpam-5733	359	15	by	by	ADP
ejpam-5733	359	16	example	example	NOUN
ejpam-5733	359	17	12	12	NUM
ejpam-5733	359	18	.	.	PUNCT
ejpam-5733	359	19	example	example	NOUN
ejpam-5733	359	20	12	12	NUM
ejpam-5733	359	21	.	.	PUNCT
ejpam-5733	360	1	let	let	VERB
ejpam-5733	360	2	u	u	PRON
ejpam-5733	360	3	=	=	NOUN
ejpam-5733	360	4	{	{	PUNCT
ejpam-5733	360	5	u1	u1	NOUN
ejpam-5733	360	6	,	,	PUNCT
ejpam-5733	360	7	u2	u2	PROPN
ejpam-5733	360	8	}	}	PUNCT
ejpam-5733	360	9	,	,	PUNCT
ejpam-5733	360	10	e	e	X
ejpam-5733	360	11	=	=	PRON
ejpam-5733	360	12	{	{	PUNCT
ejpam-5733	360	13	e1	e1	PROPN
ejpam-5733	360	14	,	,	PUNCT
ejpam-5733	360	15	e2	e2	PROPN
ejpam-5733	360	16	}	}	PUNCT
ejpam-5733	360	17	,	,	PUNCT
ejpam-5733	360	18	and	and	CCONJ
ejpam-5733	360	19	define	define	VERB
ejpam-5733	360	20	ge	ge	PROPN
ejpam-5733	360	21	,	,	PUNCT
ejpam-5733	360	22	fe	fe	X
ejpam-5733	360	23	∈	∈	PROPN
ejpam-5733	360	24	(	(	PUNCT
ejpam-5733	360	25	̃u	̃u	PROPN
ejpam-5733	360	26	,	,	PUNCT
ejpam-5733	360	27	e	e	NOUN
ejpam-5733	360	28	)	)	PUNCT
ejpam-5733	360	29	as	as	SCONJ
ejpam-5733	360	30	follows	follow	VERB
ejpam-5733	360	31	:	:	PUNCT
ejpam-5733	360	32	ge	ge	PROPN
ejpam-5733	360	33	=	=	PRON
ejpam-5733	360	34	{	{	PUNCT
ejpam-5733	360	35	(	(	PUNCT
ejpam-5733	360	36	e1	e1	NOUN
ejpam-5733	360	37	,	,	PUNCT
ejpam-5733	360	38	{	{	PUNCT
ejpam-5733	360	39	u10.4	u10.4	PROPN
ejpam-5733	360	40	,	,	PUNCT
ejpam-5733	360	41	u2	u2	NOUN
ejpam-5733	360	42	0.5	0.5	NUM
ejpam-5733	360	43	}	}	PUNCT
ejpam-5733	360	44	)	)	PUNCT
ejpam-5733	360	45	,	,	PUNCT
ejpam-5733	360	46	(	(	PUNCT
ejpam-5733	360	47	e2	e2	PROPN
ejpam-5733	360	48	,	,	PUNCT
ejpam-5733	360	49	{	{	PUNCT
ejpam-5733	360	50	u1	u1	NOUN
ejpam-5733	360	51	0.4	0.4	NUM
ejpam-5733	360	52	,	,	PUNCT
ejpam-5733	360	53	u2	u2	PROPN
ejpam-5733	360	54	0.5	0.5	NUM
ejpam-5733	360	55	}	}	PUNCT
ejpam-5733	360	56	)	)	PUNCT
ejpam-5733	360	57	}	}	PUNCT
ejpam-5733	360	58	,	,	PUNCT
ejpam-5733	360	59	fe	fe	X
ejpam-5733	360	60	=	=	SYM
ejpam-5733	360	61	{	{	PUNCT
ejpam-5733	360	62	(	(	PUNCT
ejpam-5733	360	63	e1	e1	NOUN
ejpam-5733	360	64	,	,	PUNCT
ejpam-5733	360	65	{	{	PUNCT
ejpam-5733	360	66	u10.3	u10.3	PROPN
ejpam-5733	360	67	,	,	PUNCT
ejpam-5733	360	68	u2	u2	PROPN
ejpam-5733	360	69	0.4	0.4	NUM
ejpam-5733	360	70	}	}	PUNCT
ejpam-5733	360	71	)	)	PUNCT
ejpam-5733	360	72	,	,	PUNCT
ejpam-5733	360	73	(	(	PUNCT
ejpam-5733	360	74	e2	e2	PROPN
ejpam-5733	360	75	,	,	PUNCT
ejpam-5733	360	76	{	{	PUNCT
ejpam-5733	360	77	u1	u1	NOUN
ejpam-5733	360	78	0.3	0.3	NUM
ejpam-5733	360	79	,	,	PUNCT
ejpam-5733	360	80	u2	u2	PROPN
ejpam-5733	360	81	0.4	0.4	NUM
ejpam-5733	360	82	}	}	PUNCT
ejpam-5733	360	83	)	)	PUNCT
ejpam-5733	360	84	}	}	PUNCT
ejpam-5733	360	85	.	.	PUNCT
ejpam-5733	361	1	define	define	VERB
ejpam-5733	361	2	fuzzy	fuzzy	ADJ
ejpam-5733	361	3	soft	soft	ADJ
ejpam-5733	361	4	topologies	topology	NOUN
ejpam-5733	361	5	τe	τe	VERB
ejpam-5733	361	6	,	,	PUNCT
ejpam-5733	361	7	τ	τ	PROPN
ejpam-5733	361	8	∗	∗	NOUN
ejpam-5733	361	9	e	e	NOUN
ejpam-5733	361	10	:	:	PUNCT
ejpam-5733	361	11	e	e	X
ejpam-5733	361	12	−→	−→	NOUN
ejpam-5733	361	13	[	[	X
ejpam-5733	361	14	0	0	NUM
ejpam-5733	361	15	,	,	PUNCT
ejpam-5733	361	16	1](̃u	1](̃u	NUM
ejpam-5733	361	17	,	,	PUNCT
ejpam-5733	361	18	e	e	NOUN
ejpam-5733	361	19	)	)	PUNCT
ejpam-5733	361	20	as	as	SCONJ
ejpam-5733	361	21	follows	follow	VERB
ejpam-5733	361	22	:	:	PUNCT
ejpam-5733	361	23	∀e	∀e	PROPN
ejpam-5733	361	24	∈	∈	PROPN
ejpam-5733	361	25	e	e	NOUN
ejpam-5733	361	26	,	,	PUNCT
ejpam-5733	361	27	τe(me	τe(me	NOUN
ejpam-5733	361	28	)	)	PUNCT
ejpam-5733	362	1	=	=	PUNCT
ejpam-5733	362	2			NOUN
ejpam-5733	362	3	1	1	NUM
ejpam-5733	362	4	,	,	PUNCT
ejpam-5733	362	5	if	if	SCONJ
ejpam-5733	362	6	me	i	PRON
ejpam-5733	362	7	∈	∈	PROPN
ejpam-5733	362	8	{	{	PUNCT
ejpam-5733	362	9	φ	φ	NOUN
ejpam-5733	362	10	,	,	PUNCT
ejpam-5733	362	11	ẽ	ẽ	PROPN
ejpam-5733	362	12	}	}	PUNCT
ejpam-5733	362	13	,	,	PUNCT
ejpam-5733	362	14	1	1	NUM
ejpam-5733	362	15	2	2	NUM
ejpam-5733	362	16	,	,	PUNCT
ejpam-5733	362	17	if	if	SCONJ
ejpam-5733	362	18	me	i	PRON
ejpam-5733	362	19	=	=	PUNCT
ejpam-5733	362	20	ge	ge	PROPN
ejpam-5733	362	21	,	,	PUNCT
ejpam-5733	362	22	0	0	NUM
ejpam-5733	362	23	,	,	PUNCT
ejpam-5733	362	24	otherwise	otherwise	ADV
ejpam-5733	362	25	,	,	PUNCT
ejpam-5733	362	26	τ∗e	τ∗e	PUNCT
ejpam-5733	362	27	(	(	PUNCT
ejpam-5733	362	28	me	i	PRON
ejpam-5733	362	29	)	)	PUNCT
ejpam-5733	362	30	=	=	SYM
ejpam-5733	363	1			NOUN
ejpam-5733	363	2	1	1	NUM
ejpam-5733	363	3	,	,	PUNCT
ejpam-5733	363	4	if	if	SCONJ
ejpam-5733	363	5	me	i	PRON
ejpam-5733	363	6	∈	∈	PROPN
ejpam-5733	363	7	{	{	PUNCT
ejpam-5733	363	8	φ	φ	NOUN
ejpam-5733	363	9	,	,	PUNCT
ejpam-5733	363	10	ẽ	ẽ	PROPN
ejpam-5733	363	11	}	}	PUNCT
ejpam-5733	363	12	,	,	PUNCT
ejpam-5733	363	13	1	1	NUM
ejpam-5733	363	14	4	4	NUM
ejpam-5733	363	15	,	,	PUNCT
ejpam-5733	363	16	if	if	SCONJ
ejpam-5733	363	17	me	i	PRON
ejpam-5733	363	18	∈	∈	PROPN
ejpam-5733	363	19	{	{	PUNCT
ejpam-5733	363	20	fe	fe	X
ejpam-5733	363	21	,	,	PUNCT
ejpam-5733	363	22	ge	ge	PROPN
ejpam-5733	363	23	}	}	PUNCT
ejpam-5733	363	24	,	,	PUNCT
ejpam-5733	363	25	0	0	NUM
ejpam-5733	363	26	,	,	PUNCT
ejpam-5733	363	27	otherwise	otherwise	ADV
ejpam-5733	363	28	.	.	PUNCT
ejpam-5733	364	1	thus	thus	ADV
ejpam-5733	364	2	,	,	PUNCT
ejpam-5733	364	3	the	the	DET
ejpam-5733	364	4	identity	identity	NOUN
ejpam-5733	364	5	fuzzy	fuzzy	ADJ
ejpam-5733	364	6	soft	soft	ADJ
ejpam-5733	364	7	function	function	NOUN
ejpam-5733	364	8	φψ	φψ	NOUN
ejpam-5733	364	9	:	:	PUNCT
ejpam-5733	364	10	(	(	PUNCT
ejpam-5733	364	11	u	u	NOUN
ejpam-5733	364	12	,	,	PUNCT
ejpam-5733	364	13	τe	τe	ADJ
ejpam-5733	364	14	)	)	PUNCT
ejpam-5733	364	15	−→	−→	NOUN
ejpam-5733	364	16	(	(	PUNCT
ejpam-5733	364	17	u	u	NOUN
ejpam-5733	364	18	,	,	PUNCT
ejpam-5733	364	19	τ∗e	τ∗e	PUNCT
ejpam-5733	364	20	)	)	PUNCT
ejpam-5733	364	21	is	be	AUX
ejpam-5733	364	22	fuzzy	fuzzy	ADJ
ejpam-5733	364	23	soft	soft	ADJ
ejpam-5733	364	24	almost	almost	ADV
ejpam-5733	364	25	continuous	continuous	ADJ
ejpam-5733	364	26	,	,	PUNCT
ejpam-5733	364	27	but	but	CCONJ
ejpam-5733	364	28	it	it	PRON
ejpam-5733	364	29	is	be	AUX
ejpam-5733	364	30	not	not	PART
ejpam-5733	364	31	fuzzy	fuzzy	ADJ
ejpam-5733	364	32	soft	soft	ADJ
ejpam-5733	364	33	continuous	continuous	ADJ
ejpam-5733	364	34	.	.	PUNCT
ejpam-5733	364	35	i.	i.	PROPN
ejpam-5733	364	36	alshammari	alshammari	PROPN
ejpam-5733	364	37	et	et	PROPN
ejpam-5733	364	38	al	al	PROPN
ejpam-5733	364	39	.	.	PUNCT
ejpam-5733	364	40	/	/	SYM
ejpam-5733	364	41	eur	eur	PROPN
ejpam-5733	364	42	.	.	PUNCT
ejpam-5733	365	1	j.	j.	PROPN
ejpam-5733	365	2	pure	pure	PROPN
ejpam-5733	365	3	appl	appl	PROPN
ejpam-5733	365	4	.	.	PROPN
ejpam-5733	365	5	math	math	PROPN
ejpam-5733	365	6	,	,	PUNCT
ejpam-5733	365	7	18	18	NUM
ejpam-5733	365	8	(	(	PUNCT
ejpam-5733	365	9	1	1	NUM
ejpam-5733	365	10	)	)	PUNCT
ejpam-5733	365	11	(	(	PUNCT
ejpam-5733	365	12	2025	2025	NUM
ejpam-5733	365	13	)	)	PUNCT
ejpam-5733	365	14	,	,	PUNCT
ejpam-5733	365	15	5733	5733	NUM
ejpam-5733	365	16	16	16	NUM
ejpam-5733	365	17	of	of	ADP
ejpam-5733	365	18	21	21	NUM
ejpam-5733	365	19	theorem	theorem	VERB
ejpam-5733	365	20	10	10	NUM
ejpam-5733	365	21	.	.	PUNCT
ejpam-5733	366	1	let	let	AUX
ejpam-5733	366	2	(	(	PUNCT
ejpam-5733	366	3	u	u	NOUN
ejpam-5733	366	4	,	,	PUNCT
ejpam-5733	366	5	τe	τe	ADP
ejpam-5733	366	6	)	)	PUNCT
ejpam-5733	366	7	and	and	CCONJ
ejpam-5733	366	8	(	(	PUNCT
ejpam-5733	366	9	v	v	NOUN
ejpam-5733	366	10	,	,	PUNCT
ejpam-5733	366	11	τ∗f	τ∗f	NUM
ejpam-5733	366	12	)	)	PUNCT
ejpam-5733	366	13	be	be	AUX
ejpam-5733	366	14	an	an	DET
ejpam-5733	366	15	fstss	fstss	NOUN
ejpam-5733	366	16	and	and	CCONJ
ejpam-5733	366	17	φψ	φψ	X
ejpam-5733	366	18	:	:	PUNCT
ejpam-5733	366	19	(	(	PUNCT
ejpam-5733	366	20	̃u	̃u	PROPN
ejpam-5733	366	21	,	,	PUNCT
ejpam-5733	366	22	e	e	NOUN
ejpam-5733	366	23	)	)	PUNCT
ejpam-5733	366	24	−→	−→	NOUN
ejpam-5733	366	25	(	(	PUNCT
ejpam-5733	366	26	̃v	̃v	NOUN
ejpam-5733	366	27	,	,	PUNCT
ejpam-5733	366	28	f	f	PROPN
ejpam-5733	366	29	)	)	PUNCT
ejpam-5733	366	30	be	be	AUX
ejpam-5733	366	31	a	a	DET
ejpam-5733	366	32	fuzzy	fuzzy	ADJ
ejpam-5733	366	33	soft	soft	ADJ
ejpam-5733	366	34	function	function	NOUN
ejpam-5733	366	35	.	.	PUNCT
ejpam-5733	367	1	suppose	suppose	VERB
ejpam-5733	367	2	that	that	SCONJ
ejpam-5733	367	3	one	one	NUM
ejpam-5733	367	4	of	of	ADP
ejpam-5733	367	5	the	the	DET
ejpam-5733	367	6	following	following	NOUN
ejpam-5733	367	7	holds	hold	VERB
ejpam-5733	367	8	for	for	ADP
ejpam-5733	367	9	every	every	DET
ejpam-5733	367	10	gb	gb	NOUN
ejpam-5733	367	11	∈	∈	PROPN
ejpam-5733	367	12	(	(	PUNCT
ejpam-5733	367	13	̃v	̃v	NOUN
ejpam-5733	367	14	,	,	PUNCT
ejpam-5733	367	15	f	f	PROPN
ejpam-5733	367	16	)	)	PUNCT
ejpam-5733	367	17	,	,	PUNCT
ejpam-5733	367	18	e	e	PROPN
ejpam-5733	367	19	∈	∈	PROPN
ejpam-5733	367	20	e	e	NOUN
ejpam-5733	367	21	,	,	PUNCT
ejpam-5733	367	22	(	(	PUNCT
ejpam-5733	367	23	k	k	NOUN
ejpam-5733	367	24	=	=	PUNCT
ejpam-5733	367	25	ψ(e	ψ(e	PROPN
ejpam-5733	367	26	)	)	PUNCT
ejpam-5733	367	27	)	)	PUNCT
ejpam-5733	368	1	∈	∈	PROPN
ejpam-5733	368	2	f	f	X
ejpam-5733	368	3	,	,	PUNCT
ejpam-5733	368	4	and	and	CCONJ
ejpam-5733	368	5	r	r	NOUN
ejpam-5733	368	6	∈	∈	PROPN
ejpam-5733	368	7	i	i	PRON
ejpam-5733	368	8	◦	◦	NOUN
ejpam-5733	368	9	:	:	PUNCT
ejpam-5733	368	10	(	(	PUNCT
ejpam-5733	368	11	i	i	NOUN
ejpam-5733	368	12	)	)	PUNCT
ejpam-5733	368	13	φ−1	φ−1	PROPN
ejpam-5733	368	14	ψ	ψ	SYM
ejpam-5733	368	15	(	(	PUNCT
ejpam-5733	368	16	gb	gb	PROPN
ejpam-5733	368	17	)	)	PUNCT
ejpam-5733	368	18	⊑	⊑	X
ejpam-5733	368	19	iτ	iτ	X
ejpam-5733	368	20	(	(	PUNCT
ejpam-5733	368	21	e	e	PROPN
ejpam-5733	368	22	,	,	PUNCT
ejpam-5733	368	23	φ	φ	PROPN
ejpam-5733	368	24	−1	−1	NOUN
ejpam-5733	368	25	ψ	ψ	X
ejpam-5733	368	26	(	(	PUNCT
ejpam-5733	368	27	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	368	28	,	,	PUNCT
ejpam-5733	368	29	gb	gb	NOUN
ejpam-5733	368	30	,	,	PUNCT
ejpam-5733	368	31	r	r	NOUN
ejpam-5733	368	32	)	)	PUNCT
ejpam-5733	368	33	)	)	PUNCT
ejpam-5733	368	34	,	,	PUNCT
ejpam-5733	368	35	r	r	X
ejpam-5733	368	36	)	)	PUNCT
ejpam-5733	368	37	if	if	SCONJ
ejpam-5733	368	38	τ∗k	τ∗k	NUM
ejpam-5733	368	39	(	(	PUNCT
ejpam-5733	368	40	gb	gb	NOUN
ejpam-5733	368	41	)	)	PUNCT
ejpam-5733	368	42	≥	≥	PROPN
ejpam-5733	368	43	r.	r.	PROPN
ejpam-5733	368	44	(	(	PUNCT
ejpam-5733	368	45	ii	ii	PROPN
ejpam-5733	368	46	)	)	PUNCT
ejpam-5733	368	47	cτ	cτ	VERB
ejpam-5733	368	48	(	(	PUNCT
ejpam-5733	368	49	e	e	NOUN
ejpam-5733	368	50	,	,	PUNCT
ejpam-5733	368	51	φ	φ	PROPN
ejpam-5733	368	52	−1	−1	NOUN
ejpam-5733	368	53	ψ	ψ	X
ejpam-5733	368	54	(	(	PUNCT
ejpam-5733	368	55	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	368	56	,	,	PUNCT
ejpam-5733	368	57	gb	gb	PRON
ejpam-5733	368	58	,	,	PUNCT
ejpam-5733	368	59	r	r	NOUN
ejpam-5733	368	60	)	)	PUNCT
ejpam-5733	368	61	)	)	PUNCT
ejpam-5733	368	62	,	,	PUNCT
ejpam-5733	368	63	r	r	X
ejpam-5733	368	64	)	)	PUNCT
ejpam-5733	368	65	⊑	⊑	X
ejpam-5733	368	66	φ−1	φ−1	PROPN
ejpam-5733	368	67	ψ	ψ	PROPN
ejpam-5733	368	68	(	(	PUNCT
ejpam-5733	368	69	gb	gb	NOUN
ejpam-5733	368	70	)	)	PUNCT
ejpam-5733	368	71	if	if	SCONJ
ejpam-5733	368	72	τ∗k	τ∗k	PUNCT
ejpam-5733	368	73	(	(	PUNCT
ejpam-5733	368	74	g	g	PROPN
ejpam-5733	368	75	c	c	PROPN
ejpam-5733	368	76	b	b	PROPN
ejpam-5733	368	77	)	)	PUNCT
ejpam-5733	368	78	≥	≥	PROPN
ejpam-5733	368	79	r.	r.	PROPN
ejpam-5733	368	80	then	then	ADV
ejpam-5733	368	81	,	,	PUNCT
ejpam-5733	368	82	φψ	φψ	X
ejpam-5733	368	83	is	be	AUX
ejpam-5733	368	84	fuzzy	fuzzy	ADJ
ejpam-5733	368	85	soft	soft	ADJ
ejpam-5733	368	86	weakly	weakly	ADJ
ejpam-5733	368	87	continuous	continuous	ADJ
ejpam-5733	368	88	.	.	PUNCT
ejpam-5733	369	1	proof	proof	NOUN
ejpam-5733	369	2	.	.	PUNCT
ejpam-5733	370	1	(	(	PUNCT
ejpam-5733	370	2	i	i	NOUN
ejpam-5733	370	3	)	)	PUNCT
ejpam-5733	370	4	⇒	⇒	PROPN
ejpam-5733	370	5	(	(	PUNCT
ejpam-5733	370	6	ii	ii	NOUN
ejpam-5733	370	7	)	)	PUNCT
ejpam-5733	370	8	let	let	VERB
ejpam-5733	370	9	gb	gb	PRON
ejpam-5733	370	10	∈	∈	PROPN
ejpam-5733	370	11	(	(	PUNCT
ejpam-5733	370	12	̃v	̃v	NOUN
ejpam-5733	370	13	,	,	PUNCT
ejpam-5733	370	14	f	f	PROPN
ejpam-5733	370	15	)	)	PUNCT
ejpam-5733	370	16	with	with	ADP
ejpam-5733	370	17	τ∗k	τ∗k	PUNCT
ejpam-5733	370	18	(	(	PUNCT
ejpam-5733	370	19	g	g	PROPN
ejpam-5733	370	20	c	c	PROPN
ejpam-5733	370	21	b	b	PROPN
ejpam-5733	370	22	)	)	PUNCT
ejpam-5733	370	23	≥	≥	PROPN
ejpam-5733	370	24	r.	r.	NOUN
ejpam-5733	370	25	from	from	ADP
ejpam-5733	370	26	(	(	PUNCT
ejpam-5733	370	27	i	i	PROPN
ejpam-5733	370	28	)	)	PUNCT
ejpam-5733	370	29	,	,	PUNCT
ejpam-5733	370	30	it	it	PRON
ejpam-5733	370	31	follows	follow	VERB
ejpam-5733	370	32	φ−1	φ−1	PROPN
ejpam-5733	370	33	ψ	ψ	SYM
ejpam-5733	370	34	(	(	PUNCT
ejpam-5733	370	35	gcb	gcb	X
ejpam-5733	370	36	)	)	PUNCT
ejpam-5733	370	37	⊑	⊑	X
ejpam-5733	371	1	iτ	iτ	X
ejpam-5733	371	2	(	(	PUNCT
ejpam-5733	371	3	e	e	PROPN
ejpam-5733	371	4	,	,	PUNCT
ejpam-5733	371	5	φ	φ	PROPN
ejpam-5733	371	6	−1	−1	NOUN
ejpam-5733	371	7	ψ	ψ	X
ejpam-5733	371	8	(	(	PUNCT
ejpam-5733	371	9	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	371	10	,	,	PUNCT
ejpam-5733	371	11	g	g	PROPN
ejpam-5733	371	12	c	c	PROPN
ejpam-5733	371	13	b	b	PROPN
ejpam-5733	371	14	,	,	PUNCT
ejpam-5733	371	15	r	r	NOUN
ejpam-5733	371	16	)	)	PUNCT
ejpam-5733	371	17	)	)	PUNCT
ejpam-5733	371	18	,	,	PUNCT
ejpam-5733	371	19	r	r	X
ejpam-5733	371	20	)	)	PUNCT
ejpam-5733	371	21	=	=	NOUN
ejpam-5733	371	22	iτ	iτ	INTJ
ejpam-5733	371	23	(	(	PUNCT
ejpam-5733	371	24	e	e	NOUN
ejpam-5733	371	25	,	,	PUNCT
ejpam-5733	371	26	φ	φ	PROPN
ejpam-5733	371	27	−1	−1	NOUN
ejpam-5733	371	28	ψ	ψ	X
ejpam-5733	371	29	(	(	PUNCT
ejpam-5733	371	30	(	(	PUNCT
ejpam-5733	371	31	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	371	32	,	,	PUNCT
ejpam-5733	371	33	gb	gb	PRON
ejpam-5733	371	34	,	,	PUNCT
ejpam-5733	371	35	r	r	NOUN
ejpam-5733	371	36	)	)	PUNCT
ejpam-5733	371	37	)	)	PUNCT
ejpam-5733	372	1	c	c	X
ejpam-5733	372	2	)	)	PUNCT
ejpam-5733	372	3	,	,	PUNCT
ejpam-5733	372	4	r	r	NOUN
ejpam-5733	372	5	)	)	PUNCT
ejpam-5733	372	6	=	=	NOUN
ejpam-5733	372	7	iτ	iτ	INTJ
ejpam-5733	372	8	(	(	PUNCT
ejpam-5733	372	9	e	e	NOUN
ejpam-5733	372	10	,	,	PUNCT
ejpam-5733	372	11	(	(	PUNCT
ejpam-5733	372	12	φ	φ	NUM
ejpam-5733	372	13	−1	−1	NOUN
ejpam-5733	372	14	ψ	ψ	X
ejpam-5733	372	15	(	(	PUNCT
ejpam-5733	372	16	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	372	17	,	,	PUNCT
ejpam-5733	372	18	gb	gb	PRON
ejpam-5733	372	19	,	,	PUNCT
ejpam-5733	372	20	r	r	NOUN
ejpam-5733	372	21	)	)	PUNCT
ejpam-5733	372	22	)	)	PUNCT
ejpam-5733	372	23	)	)	PUNCT
ejpam-5733	373	1	c	c	X
ejpam-5733	373	2	,	,	PUNCT
ejpam-5733	373	3	r	r	NOUN
ejpam-5733	373	4	)	)	PUNCT
ejpam-5733	373	5	=	=	SYM
ejpam-5733	373	6	(	(	PUNCT
ejpam-5733	373	7	cτ	cτ	INTJ
ejpam-5733	373	8	(	(	PUNCT
ejpam-5733	373	9	e	e	NOUN
ejpam-5733	373	10	,	,	PUNCT
ejpam-5733	373	11	φ	φ	PROPN
ejpam-5733	373	12	−1	−1	NOUN
ejpam-5733	373	13	ψ	ψ	X
ejpam-5733	373	14	(	(	PUNCT
ejpam-5733	373	15	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	373	16	,	,	PUNCT
ejpam-5733	373	17	gb	gb	PRON
ejpam-5733	373	18	,	,	PUNCT
ejpam-5733	373	19	r	r	NOUN
ejpam-5733	373	20	)	)	PUNCT
ejpam-5733	373	21	)	)	PUNCT
ejpam-5733	373	22	,	,	PUNCT
ejpam-5733	373	23	r	r	NOUN
ejpam-5733	373	24	)	)	PUNCT
ejpam-5733	373	25	)	)	PUNCT
ejpam-5733	373	26	c.	c.	PROPN
ejpam-5733	373	27	hence	hence	ADV
ejpam-5733	373	28	,	,	PUNCT
ejpam-5733	373	29	cτ	cτ	INTJ
ejpam-5733	373	30	(	(	PUNCT
ejpam-5733	373	31	e	e	NOUN
ejpam-5733	373	32	,	,	PUNCT
ejpam-5733	373	33	φ	φ	PROPN
ejpam-5733	373	34	−1	−1	NOUN
ejpam-5733	373	35	ψ	ψ	X
ejpam-5733	373	36	(	(	PUNCT
ejpam-5733	373	37	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	373	38	,	,	PUNCT
ejpam-5733	373	39	gb	gb	PRON
ejpam-5733	373	40	,	,	PUNCT
ejpam-5733	373	41	r	r	NOUN
ejpam-5733	373	42	)	)	PUNCT
ejpam-5733	373	43	)	)	PUNCT
ejpam-5733	373	44	,	,	PUNCT
ejpam-5733	373	45	r	r	X
ejpam-5733	373	46	)	)	PUNCT
ejpam-5733	373	47	⊑	⊑	X
ejpam-5733	373	48	φ−1	φ−1	PROPN
ejpam-5733	373	49	ψ	ψ	X
ejpam-5733	373	50	(	(	PUNCT
ejpam-5733	373	51	gb	gb	NOUN
ejpam-5733	373	52	)	)	PUNCT
ejpam-5733	373	53	.	.	PUNCT
ejpam-5733	374	1	similarly	similarly	ADV
ejpam-5733	374	2	,	,	PUNCT
ejpam-5733	374	3	we	we	PRON
ejpam-5733	374	4	get	get	VERB
ejpam-5733	374	5	(	(	PUNCT
ejpam-5733	374	6	ii	ii	NOUN
ejpam-5733	374	7	)	)	PUNCT
ejpam-5733	374	8	⇒	⇒	NOUN
ejpam-5733	374	9	(	(	PUNCT
ejpam-5733	374	10	i	i	NOUN
ejpam-5733	374	11	)	)	PUNCT
ejpam-5733	374	12	.	.	PUNCT
ejpam-5733	375	1	suppose	suppose	VERB
ejpam-5733	375	2	that	that	SCONJ
ejpam-5733	375	3	(	(	PUNCT
ejpam-5733	375	4	i	i	NOUN
ejpam-5733	375	5	)	)	PUNCT
ejpam-5733	375	6	holds	hold	VERB
ejpam-5733	375	7	.	.	PUNCT
ejpam-5733	376	1	let	let	VERB
ejpam-5733	376	2	eut	eut	NOUN
ejpam-5733	376	3	∈	∈	PROPN
ejpam-5733	376	4	p̃t(u	p̃t(u	VERB
ejpam-5733	376	5	)	)	PUNCT
ejpam-5733	376	6	and	and	CCONJ
ejpam-5733	376	7	gb	gb	ADP
ejpam-5733	376	8	∈	∈	PROPN
ejpam-5733	376	9	(	(	PUNCT
ejpam-5733	376	10	̃v	̃v	NOUN
ejpam-5733	376	11	,	,	PUNCT
ejpam-5733	376	12	f	f	PROPN
ejpam-5733	376	13	)	)	PUNCT
ejpam-5733	376	14	with	with	ADP
ejpam-5733	376	15	τ∗k	τ∗k	PUNCT
ejpam-5733	376	16	(	(	PUNCT
ejpam-5733	376	17	gb	gb	NOUN
ejpam-5733	376	18	)	)	PUNCT
ejpam-5733	376	19	≥	≥	NOUN
ejpam-5733	376	20	r	r	NOUN
ejpam-5733	376	21	containing	contain	VERB
ejpam-5733	376	22	φψ(eut	φψ(eut	NOUN
ejpam-5733	376	23	)	)	PUNCT
ejpam-5733	376	24	.	.	PUNCT
ejpam-5733	377	1	then	then	ADV
ejpam-5733	377	2	,	,	PUNCT
ejpam-5733	377	3	by	by	ADP
ejpam-5733	377	4	(	(	PUNCT
ejpam-5733	377	5	i	i	NOUN
ejpam-5733	377	6	)	)	PUNCT
ejpam-5733	377	7	,	,	PUNCT
ejpam-5733	377	8	eut∈̃iτ	eut∈̃iτ	PROPN
ejpam-5733	377	9	(	(	PUNCT
ejpam-5733	377	10	e	e	NOUN
ejpam-5733	377	11	,	,	PUNCT
ejpam-5733	377	12	φ−1	φ−1	PROPN
ejpam-5733	377	13	ψ	ψ	SYM
ejpam-5733	377	14	(	(	PUNCT
ejpam-5733	377	15	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	377	16	,	,	PUNCT
ejpam-5733	377	17	gb	gb	NOUN
ejpam-5733	377	18	,	,	PUNCT
ejpam-5733	377	19	r	r	NOUN
ejpam-5733	377	20	)	)	PUNCT
ejpam-5733	377	21	)	)	PUNCT
ejpam-5733	377	22	,	,	PUNCT
ejpam-5733	377	23	r	r	NOUN
ejpam-5733	377	24	)	)	PUNCT
ejpam-5733	377	25	,	,	PUNCT
ejpam-5733	377	26	and	and	CCONJ
ejpam-5733	377	27	so	so	ADV
ejpam-5733	377	28	there	there	PRON
ejpam-5733	377	29	is	be	VERB
ejpam-5733	377	30	fa	fa	PRON
ejpam-5733	377	31	∈	∈	PROPN
ejpam-5733	377	32	(	(	PUNCT
ejpam-5733	377	33	̃u	̃u	PROPN
ejpam-5733	377	34	,	,	PUNCT
ejpam-5733	377	35	e	e	NOUN
ejpam-5733	377	36	)	)	PUNCT
ejpam-5733	377	37	with	with	ADP
ejpam-5733	377	38	τe(fa	τe(fa	NOUN
ejpam-5733	377	39	)	)	PUNCT
ejpam-5733	378	1	≥	≥	NOUN
ejpam-5733	379	1	r	r	NOUN
ejpam-5733	379	2	containing	contain	VERB
ejpam-5733	379	3	eut	eut	NOUN
ejpam-5733	379	4	such	such	ADJ
ejpam-5733	379	5	that	that	SCONJ
ejpam-5733	379	6	fa	fa	PROPN
ejpam-5733	379	7	⊑	⊑	PRON
ejpam-5733	379	8	φ−1	φ−1	PROPN
ejpam-5733	379	9	ψ	ψ	X
ejpam-5733	379	10	(	(	PUNCT
ejpam-5733	379	11	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	379	12	,	,	PUNCT
ejpam-5733	379	13	gb	gb	NOUN
ejpam-5733	379	14	,	,	PUNCT
ejpam-5733	379	15	r	r	NOUN
ejpam-5733	379	16	)	)	PUNCT
ejpam-5733	379	17	)	)	PUNCT
ejpam-5733	379	18	.	.	PUNCT
ejpam-5733	380	1	thus	thus	ADV
ejpam-5733	380	2	,	,	PUNCT
ejpam-5733	380	3	φψ(fa	φψ(fa	NOUN
ejpam-5733	380	4	)	)	PUNCT
ejpam-5733	381	1	⊑	⊑	DET
ejpam-5733	381	2	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	381	3	,	,	PUNCT
ejpam-5733	381	4	gb	gb	PRON
ejpam-5733	381	5	,	,	PUNCT
ejpam-5733	381	6	r	r	NOUN
ejpam-5733	381	7	)	)	PUNCT
ejpam-5733	381	8	.	.	PUNCT
ejpam-5733	382	1	hence	hence	ADV
ejpam-5733	382	2	,	,	PUNCT
ejpam-5733	382	3	φψ	φψ	X
ejpam-5733	382	4	is	be	AUX
ejpam-5733	382	5	fuzzy	fuzzy	ADJ
ejpam-5733	382	6	soft	soft	ADJ
ejpam-5733	382	7	weakly	weakly	ADJ
ejpam-5733	382	8	continuous	continuous	ADJ
ejpam-5733	382	9	.	.	PUNCT
ejpam-5733	383	1	lemma	lemma	PROPN
ejpam-5733	383	2	3	3	NUM
ejpam-5733	383	3	.	.	PUNCT
ejpam-5733	384	1	every	every	DET
ejpam-5733	384	2	fuzzy	fuzzy	ADJ
ejpam-5733	384	3	soft	soft	ADJ
ejpam-5733	384	4	almost	almost	ADV
ejpam-5733	384	5	continuous	continuous	ADJ
ejpam-5733	384	6	function	function	NOUN
ejpam-5733	384	7	is	be	AUX
ejpam-5733	384	8	fuzzy	fuzzy	ADJ
ejpam-5733	384	9	soft	soft	ADJ
ejpam-5733	384	10	weakly	weakly	ADJ
ejpam-5733	384	11	continuous	continuous	ADJ
ejpam-5733	384	12	.	.	PUNCT
ejpam-5733	385	1	proof	proof	NOUN
ejpam-5733	385	2	.	.	PUNCT
ejpam-5733	386	1	it	it	PRON
ejpam-5733	386	2	follows	follow	VERB
ejpam-5733	386	3	from	from	ADP
ejpam-5733	386	4	definition	definition	NOUN
ejpam-5733	386	5	12	12	NUM
ejpam-5733	386	6	.	.	PUNCT
ejpam-5733	387	1	remark	remark	NOUN
ejpam-5733	387	2	9	9	NUM
ejpam-5733	387	3	.	.	PUNCT
ejpam-5733	388	1	in	in	ADP
ejpam-5733	388	2	general	general	ADJ
ejpam-5733	388	3	,	,	PUNCT
ejpam-5733	388	4	the	the	DET
ejpam-5733	388	5	converse	converse	NOUN
ejpam-5733	388	6	of	of	ADP
ejpam-5733	388	7	lemma	lemma	PROPN
ejpam-5733	388	8	3	3	NUM
ejpam-5733	388	9	is	be	AUX
ejpam-5733	388	10	not	not	PART
ejpam-5733	388	11	true	true	ADJ
ejpam-5733	388	12	,	,	PUNCT
ejpam-5733	388	13	as	as	SCONJ
ejpam-5733	388	14	shown	show	VERB
ejpam-5733	388	15	by	by	ADP
ejpam-5733	388	16	example	example	NOUN
ejpam-5733	388	17	13	13	NUM
ejpam-5733	388	18	.	.	PUNCT
ejpam-5733	388	19	example	example	NOUN
ejpam-5733	389	1	13	13	NUM
ejpam-5733	389	2	.	.	PUNCT
ejpam-5733	390	1	let	let	VERB
ejpam-5733	390	2	u	u	PRON
ejpam-5733	390	3	=	=	NOUN
ejpam-5733	390	4	{	{	PUNCT
ejpam-5733	390	5	u1	u1	NOUN
ejpam-5733	390	6	,	,	PUNCT
ejpam-5733	390	7	u2	u2	NOUN
ejpam-5733	390	8	,	,	PUNCT
ejpam-5733	390	9	u3	u3	NOUN
ejpam-5733	390	10	}	}	PUNCT
ejpam-5733	390	11	,	,	PUNCT
ejpam-5733	390	12	e	e	X
ejpam-5733	390	13	=	=	PRON
ejpam-5733	390	14	{	{	PUNCT
ejpam-5733	390	15	e1	e1	PROPN
ejpam-5733	390	16	,	,	PUNCT
ejpam-5733	390	17	e2	e2	PROPN
ejpam-5733	390	18	}	}	PUNCT
ejpam-5733	390	19	,	,	PUNCT
ejpam-5733	390	20	and	and	CCONJ
ejpam-5733	390	21	define	define	VERB
ejpam-5733	390	22	ge	ge	PROPN
ejpam-5733	390	23	,	,	PUNCT
ejpam-5733	390	24	fe	fe	X
ejpam-5733	390	25	∈	∈	PROPN
ejpam-5733	390	26	(	(	PUNCT
ejpam-5733	390	27	̃u	̃u	PROPN
ejpam-5733	390	28	,	,	PUNCT
ejpam-5733	390	29	e	e	NOUN
ejpam-5733	390	30	)	)	PUNCT
ejpam-5733	390	31	as	as	SCONJ
ejpam-5733	390	32	follows	follow	VERB
ejpam-5733	390	33	:	:	PUNCT
ejpam-5733	390	34	ge	ge	PROPN
ejpam-5733	390	35	=	=	PRON
ejpam-5733	390	36	{	{	PUNCT
ejpam-5733	390	37	(	(	PUNCT
ejpam-5733	390	38	e1	e1	NOUN
ejpam-5733	390	39	,	,	PUNCT
ejpam-5733	390	40	{	{	PUNCT
ejpam-5733	390	41	u10.6	u10.6	NUM
ejpam-5733	390	42	,	,	PUNCT
ejpam-5733	390	43	u2	u2	PROPN
ejpam-5733	390	44	0.6	0.6	NUM
ejpam-5733	390	45	,	,	PUNCT
ejpam-5733	390	46	u3	u3	NOUN
ejpam-5733	390	47	0.5	0.5	NUM
ejpam-5733	390	48	}	}	PUNCT
ejpam-5733	390	49	)	)	PUNCT
ejpam-5733	390	50	,	,	PUNCT
ejpam-5733	390	51	(	(	PUNCT
ejpam-5733	390	52	e2	e2	PROPN
ejpam-5733	390	53	,	,	PUNCT
ejpam-5733	390	54	{	{	PUNCT
ejpam-5733	390	55	u1	u1	NOUN
ejpam-5733	390	56	0.6	0.6	NUM
ejpam-5733	390	57	,	,	PUNCT
ejpam-5733	390	58	u2	u2	PROPN
ejpam-5733	390	59	0.6	0.6	NUM
ejpam-5733	390	60	,	,	PUNCT
ejpam-5733	390	61	u3	u3	NOUN
ejpam-5733	390	62	0.5	0.5	NUM
ejpam-5733	390	63	}	}	PUNCT
ejpam-5733	390	64	)	)	PUNCT
ejpam-5733	390	65	}	}	PUNCT
ejpam-5733	390	66	,	,	PUNCT
ejpam-5733	390	67	fe	fe	X
ejpam-5733	390	68	=	=	SYM
ejpam-5733	390	69	{	{	PUNCT
ejpam-5733	390	70	(	(	PUNCT
ejpam-5733	390	71	e1	e1	NOUN
ejpam-5733	390	72	,	,	PUNCT
ejpam-5733	390	73	{	{	PUNCT
ejpam-5733	390	74	u10.3	u10.3	PROPN
ejpam-5733	390	75	,	,	PUNCT
ejpam-5733	390	76	u2	u2	PROPN
ejpam-5733	390	77	0	0	PUNCT
ejpam-5733	390	78	,	,	PUNCT
ejpam-5733	390	79	u3	u3	NOUN
ejpam-5733	390	80	0.5	0.5	NUM
ejpam-5733	390	81	}	}	PUNCT
ejpam-5733	390	82	)	)	PUNCT
ejpam-5733	390	83	,	,	PUNCT
ejpam-5733	390	84	(	(	PUNCT
ejpam-5733	390	85	e2	e2	PROPN
ejpam-5733	390	86	,	,	PUNCT
ejpam-5733	390	87	{	{	PUNCT
ejpam-5733	390	88	u1	u1	NOUN
ejpam-5733	390	89	0.3	0.3	NUM
ejpam-5733	390	90	,	,	PUNCT
ejpam-5733	390	91	u2	u2	PROPN
ejpam-5733	390	92	0	0	PUNCT
ejpam-5733	390	93	,	,	PUNCT
ejpam-5733	390	94	u3	u3	NOUN
ejpam-5733	390	95	0.5	0.5	NUM
ejpam-5733	390	96	}	}	PUNCT
ejpam-5733	390	97	)	)	PUNCT
ejpam-5733	390	98	}	}	PUNCT
ejpam-5733	390	99	.	.	PUNCT
ejpam-5733	391	1	define	define	VERB
ejpam-5733	391	2	fuzzy	fuzzy	ADJ
ejpam-5733	391	3	soft	soft	ADJ
ejpam-5733	391	4	topologies	topology	NOUN
ejpam-5733	391	5	τe	τe	VERB
ejpam-5733	391	6	,	,	PUNCT
ejpam-5733	391	7	τ	τ	PROPN
ejpam-5733	391	8	∗	∗	NOUN
ejpam-5733	391	9	e	e	NOUN
ejpam-5733	391	10	:	:	PUNCT
ejpam-5733	391	11	e	e	X
ejpam-5733	391	12	−→	−→	NOUN
ejpam-5733	391	13	[	[	X
ejpam-5733	391	14	0	0	NUM
ejpam-5733	391	15	,	,	PUNCT
ejpam-5733	391	16	1](̃u	1](̃u	NUM
ejpam-5733	391	17	,	,	PUNCT
ejpam-5733	391	18	e	e	NOUN
ejpam-5733	391	19	)	)	PUNCT
ejpam-5733	391	20	as	as	SCONJ
ejpam-5733	391	21	follows	follow	VERB
ejpam-5733	391	22	:	:	PUNCT
ejpam-5733	391	23	∀e	∀e	PROPN
ejpam-5733	391	24	∈	∈	PROPN
ejpam-5733	391	25	e	e	NOUN
ejpam-5733	391	26	,	,	PUNCT
ejpam-5733	391	27	τe(me	τe(me	NOUN
ejpam-5733	391	28	)	)	PUNCT
ejpam-5733	392	1	=	=	PUNCT
ejpam-5733	392	2			NOUN
ejpam-5733	392	3	1	1	NUM
ejpam-5733	392	4	,	,	PUNCT
ejpam-5733	392	5	if	if	SCONJ
ejpam-5733	392	6	me	i	PRON
ejpam-5733	392	7	∈	∈	PROPN
ejpam-5733	392	8	{	{	PUNCT
ejpam-5733	392	9	φ	φ	NOUN
ejpam-5733	392	10	,	,	PUNCT
ejpam-5733	392	11	ẽ	ẽ	PROPN
ejpam-5733	392	12	}	}	PUNCT
ejpam-5733	392	13	,	,	PUNCT
ejpam-5733	392	14	1	1	NUM
ejpam-5733	392	15	2	2	NUM
ejpam-5733	392	16	,	,	PUNCT
ejpam-5733	392	17	if	if	SCONJ
ejpam-5733	392	18	me	i	PRON
ejpam-5733	392	19	=	=	PUNCT
ejpam-5733	392	20	ge	ge	PROPN
ejpam-5733	392	21	,	,	PUNCT
ejpam-5733	392	22	0	0	NUM
ejpam-5733	392	23	,	,	PUNCT
ejpam-5733	392	24	otherwise	otherwise	ADV
ejpam-5733	392	25	,	,	PUNCT
ejpam-5733	392	26	τ∗e	τ∗e	PUNCT
ejpam-5733	392	27	(	(	PUNCT
ejpam-5733	392	28	me	i	PRON
ejpam-5733	392	29	)	)	PUNCT
ejpam-5733	392	30	=	=	SYM
ejpam-5733	393	1			NOUN
ejpam-5733	393	2	1	1	NUM
ejpam-5733	393	3	,	,	PUNCT
ejpam-5733	393	4	if	if	SCONJ
ejpam-5733	393	5	me	i	PRON
ejpam-5733	393	6	∈	∈	PROPN
ejpam-5733	393	7	{	{	PUNCT
ejpam-5733	393	8	φ	φ	NOUN
ejpam-5733	393	9	,	,	PUNCT
ejpam-5733	393	10	ẽ	ẽ	PROPN
ejpam-5733	393	11	}	}	PUNCT
ejpam-5733	393	12	,	,	PUNCT
ejpam-5733	393	13	1	1	NUM
ejpam-5733	393	14	2	2	NUM
ejpam-5733	393	15	,	,	PUNCT
ejpam-5733	393	16	if	if	SCONJ
ejpam-5733	393	17	me	i	PRON
ejpam-5733	393	18	=	=	SYM
ejpam-5733	393	19	fe	fe	X
ejpam-5733	393	20	,	,	PUNCT
ejpam-5733	393	21	0	0	NUM
ejpam-5733	393	22	,	,	PUNCT
ejpam-5733	393	23	otherwise	otherwise	ADV
ejpam-5733	393	24	.	.	PUNCT
ejpam-5733	394	1	thus	thus	ADV
ejpam-5733	394	2	,	,	PUNCT
ejpam-5733	394	3	the	the	DET
ejpam-5733	394	4	identity	identity	NOUN
ejpam-5733	394	5	fuzzy	fuzzy	ADJ
ejpam-5733	394	6	soft	soft	ADJ
ejpam-5733	394	7	function	function	NOUN
ejpam-5733	394	8	φψ	φψ	NOUN
ejpam-5733	394	9	:	:	PUNCT
ejpam-5733	394	10	(	(	PUNCT
ejpam-5733	394	11	u	u	NOUN
ejpam-5733	394	12	,	,	PUNCT
ejpam-5733	394	13	τe	τe	ADJ
ejpam-5733	394	14	)	)	PUNCT
ejpam-5733	394	15	−→	−→	NOUN
ejpam-5733	394	16	(	(	PUNCT
ejpam-5733	394	17	u	u	NOUN
ejpam-5733	394	18	,	,	PUNCT
ejpam-5733	394	19	τ∗e	τ∗e	PUNCT
ejpam-5733	394	20	)	)	PUNCT
ejpam-5733	394	21	is	be	AUX
ejpam-5733	394	22	fuzzy	fuzzy	ADJ
ejpam-5733	394	23	soft	soft	ADJ
ejpam-5733	394	24	weakly	weakly	ADJ
ejpam-5733	394	25	continuous	continuous	ADJ
ejpam-5733	394	26	,	,	PUNCT
ejpam-5733	394	27	but	but	CCONJ
ejpam-5733	394	28	it	it	PRON
ejpam-5733	394	29	is	be	AUX
ejpam-5733	394	30	not	not	PART
ejpam-5733	394	31	fuzzy	fuzzy	ADJ
ejpam-5733	394	32	soft	soft	ADJ
ejpam-5733	394	33	almost	almost	ADV
ejpam-5733	394	34	continuous	continuous	ADJ
ejpam-5733	394	35	.	.	PUNCT
ejpam-5733	395	1	i.	i.	PROPN
ejpam-5733	395	2	alshammari	alshammari	PROPN
ejpam-5733	395	3	et	et	PROPN
ejpam-5733	395	4	al	al	PROPN
ejpam-5733	395	5	.	.	PUNCT
ejpam-5733	395	6	/	/	SYM
ejpam-5733	395	7	eur	eur	PROPN
ejpam-5733	395	8	.	.	PUNCT
ejpam-5733	396	1	j.	j.	PROPN
ejpam-5733	396	2	pure	pure	PROPN
ejpam-5733	396	3	appl	appl	PROPN
ejpam-5733	396	4	.	.	PROPN
ejpam-5733	396	5	math	math	PROPN
ejpam-5733	396	6	,	,	PUNCT
ejpam-5733	396	7	18	18	NUM
ejpam-5733	396	8	(	(	PUNCT
ejpam-5733	396	9	1	1	NUM
ejpam-5733	396	10	)	)	PUNCT
ejpam-5733	396	11	(	(	PUNCT
ejpam-5733	396	12	2025	2025	NUM
ejpam-5733	396	13	)	)	PUNCT
ejpam-5733	396	14	,	,	PUNCT
ejpam-5733	396	15	5733	5733	NUM
ejpam-5733	396	16	17	17	NUM
ejpam-5733	396	17	of	of	ADP
ejpam-5733	396	18	21	21	NUM
ejpam-5733	396	19	remark	remark	NOUN
ejpam-5733	396	20	10	10	NUM
ejpam-5733	396	21	.	.	PUNCT
ejpam-5733	397	1	from	from	ADP
ejpam-5733	397	2	the	the	DET
ejpam-5733	397	3	previous	previous	ADJ
ejpam-5733	397	4	results	result	NOUN
ejpam-5733	397	5	,	,	PUNCT
ejpam-5733	397	6	we	we	PRON
ejpam-5733	397	7	have	have	VERB
ejpam-5733	397	8	:	:	PUNCT
ejpam-5733	397	9	fuzzy	fuzzy	ADJ
ejpam-5733	397	10	soft	soft	ADJ
ejpam-5733	397	11	continuity	continuity	NOUN
ejpam-5733	397	12	⇒	⇒	NOUN
ejpam-5733	397	13	fuzzy	fuzzy	ADJ
ejpam-5733	397	14	soft	soft	ADJ
ejpam-5733	397	15	almost	almost	ADV
ejpam-5733	397	16	continuity	continuity	NOUN
ejpam-5733	397	17	⇒	⇒	NOUN
ejpam-5733	397	18	fuzzy	fuzzy	ADJ
ejpam-5733	397	19	soft	soft	ADJ
ejpam-5733	397	20	weakly	weakly	ADJ
ejpam-5733	397	21	continuity	continuity	NOUN
ejpam-5733	397	22	.	.	PUNCT
ejpam-5733	398	1	in	in	ADP
ejpam-5733	398	2	[	[	X
ejpam-5733	398	3	38	38	NUM
ejpam-5733	398	4	]	]	PUNCT
ejpam-5733	398	5	,	,	PUNCT
ejpam-5733	398	6	the	the	DET
ejpam-5733	398	7	difference	difference	NOUN
ejpam-5733	398	8	between	between	ADP
ejpam-5733	398	9	fa	fa	PROPN
ejpam-5733	398	10	and	and	CCONJ
ejpam-5733	398	11	gb	gb	NOUN
ejpam-5733	398	12	is	be	AUX
ejpam-5733	398	13	a	a	DET
ejpam-5733	398	14	fuzzy	fuzzy	ADJ
ejpam-5733	398	15	soft	soft	ADJ
ejpam-5733	398	16	set	set	NOUN
ejpam-5733	398	17	defined	define	VERB
ejpam-5733	398	18	as	as	SCONJ
ejpam-5733	398	19	follows	follow	VERB
ejpam-5733	398	20	:	:	PUNCT
ejpam-5733	398	21	(	(	PUNCT
ejpam-5733	398	22	fa	fa	X
ejpam-5733	398	23	⊓	⊓	PROPN
ejpam-5733	398	24	gb)(e	gb)(e	PROPN
ejpam-5733	398	25	)	)	PUNCT
ejpam-5733	398	26	=	=	PRON
ejpam-5733	399	1	{	{	PUNCT
ejpam-5733	399	2	0	0	NUM
ejpam-5733	399	3	,	,	PUNCT
ejpam-5733	399	4	if	if	SCONJ
ejpam-5733	399	5	fa(e	fa(e	NOUN
ejpam-5733	399	6	)	)	PUNCT
ejpam-5733	399	7	≤	≤	NOUN
ejpam-5733	399	8	gb(e	gb(e	NOUN
ejpam-5733	399	9	)	)	PUNCT
ejpam-5733	399	10	,	,	PUNCT
ejpam-5733	399	11	fa(e	fa(e	X
ejpam-5733	399	12	)	)	PUNCT
ejpam-5733	400	1	∧	∧	NOUN
ejpam-5733	400	2	(	(	PUNCT
ejpam-5733	400	3	gb(e	gb(e	NOUN
ejpam-5733	400	4	)	)	PUNCT
ejpam-5733	400	5	)	)	PUNCT
ejpam-5733	401	1	c	c	X
ejpam-5733	401	2	,	,	PUNCT
ejpam-5733	401	3	otherwise	otherwise	ADV
ejpam-5733	401	4	,	,	PUNCT
ejpam-5733	401	5	∀e	∀e	PROPN
ejpam-5733	401	6	∈	∈	PROPN
ejpam-5733	401	7	e.	e.	PROPN
ejpam-5733	401	8	let	let	VERB
ejpam-5733	401	9	l	l	NOUN
ejpam-5733	401	10	and	and	CCONJ
ejpam-5733	401	11	m	m	PRON
ejpam-5733	401	12	:	:	PUNCT
ejpam-5733	402	1	e	e	X
ejpam-5733	402	2	×	×	NOUN
ejpam-5733	402	3	(	(	PUNCT
ejpam-5733	402	4	̃u	̃u	PROPN
ejpam-5733	402	5	,	,	PUNCT
ejpam-5733	402	6	e	e	NOUN
ejpam-5733	402	7	)	)	PUNCT
ejpam-5733	402	8	×	×	PROPN
ejpam-5733	402	9	i	i	PROPN
ejpam-5733	402	10	◦	◦	NOUN
ejpam-5733	402	11	→	→	PUNCT
ejpam-5733	402	12	(	(	PUNCT
ejpam-5733	402	13	̃u	̃u	PROPN
ejpam-5733	402	14	,	,	PUNCT
ejpam-5733	402	15	e	e	NOUN
ejpam-5733	402	16	)	)	PUNCT
ejpam-5733	402	17	be	be	VERB
ejpam-5733	402	18	operators	operator	NOUN
ejpam-5733	402	19	on	on	ADP
ejpam-5733	402	20	(	(	PUNCT
ejpam-5733	402	21	̃u	̃u	PROPN
ejpam-5733	402	22	,	,	PUNCT
ejpam-5733	402	23	e	e	NOUN
ejpam-5733	402	24	)	)	PUNCT
ejpam-5733	402	25	,	,	PUNCT
ejpam-5733	402	26	and	and	CCONJ
ejpam-5733	402	27	n	n	PROPN
ejpam-5733	402	28	and	and	CCONJ
ejpam-5733	402	29	o	o	NOUN
ejpam-5733	402	30	:	:	PUNCT
ejpam-5733	402	31	f	f	X
ejpam-5733	402	32	×	×	NOUN
ejpam-5733	402	33	(	(	PUNCT
ejpam-5733	402	34	̃v	̃v	NOUN
ejpam-5733	402	35	,	,	PUNCT
ejpam-5733	402	36	f	f	PROPN
ejpam-5733	402	37	)	)	PUNCT
ejpam-5733	402	38	×	×	PROPN
ejpam-5733	402	39	i	i	PROPN
ejpam-5733	402	40	◦	◦	NOUN
ejpam-5733	402	41	→	→	PUNCT
ejpam-5733	402	42	(	(	PUNCT
ejpam-5733	402	43	̃v	̃v	NOUN
ejpam-5733	402	44	,	,	PUNCT
ejpam-5733	402	45	f	f	PROPN
ejpam-5733	402	46	)	)	PUNCT
ejpam-5733	402	47	be	be	AUX
ejpam-5733	402	48	operators	operator	NOUN
ejpam-5733	402	49	on	on	ADP
ejpam-5733	402	50	(	(	PUNCT
ejpam-5733	402	51	̃v	̃v	NOUN
ejpam-5733	402	52	,	,	PUNCT
ejpam-5733	402	53	f	f	PROPN
ejpam-5733	402	54	)	)	PUNCT
ejpam-5733	402	55	.	.	PUNCT
ejpam-5733	403	1	definition	definition	NOUN
ejpam-5733	403	2	13	13	NUM
ejpam-5733	403	3	.	.	PUNCT
ejpam-5733	404	1	let	let	AUX
ejpam-5733	404	2	(	(	PUNCT
ejpam-5733	404	3	u	u	NOUN
ejpam-5733	404	4	,	,	PUNCT
ejpam-5733	404	5	τe	τe	ADP
ejpam-5733	404	6	)	)	PUNCT
ejpam-5733	404	7	and	and	CCONJ
ejpam-5733	404	8	(	(	PUNCT
ejpam-5733	404	9	v	v	NOUN
ejpam-5733	404	10	,	,	PUNCT
ejpam-5733	404	11	τ∗f	τ∗f	NUM
ejpam-5733	404	12	)	)	PUNCT
ejpam-5733	404	13	be	be	AUX
ejpam-5733	404	14	an	an	DET
ejpam-5733	404	15	fstss	fstss	NOUN
ejpam-5733	404	16	.	.	PUNCT
ejpam-5733	405	1	φψ	φψ	PUNCT
ejpam-5733	405	2	:	:	PUNCT
ejpam-5733	405	3	(	(	PUNCT
ejpam-5733	405	4	̃u	̃u	PROPN
ejpam-5733	405	5	,	,	PUNCT
ejpam-5733	405	6	e	e	NOUN
ejpam-5733	405	7	)	)	PUNCT
ejpam-5733	405	8	−→	−→	NOUN
ejpam-5733	405	9	(	(	PUNCT
ejpam-5733	405	10	̃v	̃v	NOUN
ejpam-5733	405	11	,	,	PUNCT
ejpam-5733	405	12	f	f	PROPN
ejpam-5733	405	13	)	)	PUNCT
ejpam-5733	405	14	is	be	AUX
ejpam-5733	405	15	said	say	VERB
ejpam-5733	405	16	to	to	PART
ejpam-5733	405	17	be	be	AUX
ejpam-5733	405	18	a	a	DET
ejpam-5733	405	19	fuzzy	fuzzy	ADJ
ejpam-5733	405	20	soft	soft	ADJ
ejpam-5733	405	21	(	(	PUNCT
ejpam-5733	405	22	l	l	NOUN
ejpam-5733	405	23	,	,	PUNCT
ejpam-5733	405	24	m	m	PROPN
ejpam-5733	405	25	,	,	PUNCT
ejpam-5733	405	26	n	n	PRON
ejpam-5733	405	27	,	,	PUNCT
ejpam-5733	405	28	o)-continuous	o)-continuous	ADJ
ejpam-5733	405	29	function	function	NOUN
ejpam-5733	405	30	if	if	SCONJ
ejpam-5733	405	31	l[e	l[e	NOUN
ejpam-5733	405	32	,	,	PUNCT
ejpam-5733	405	33	φ−1	φ−1	PROPN
ejpam-5733	405	34	ψ	ψ	X
ejpam-5733	405	35	(	(	PUNCT
ejpam-5733	405	36	o(k	o(k	PROPN
ejpam-5733	405	37	,	,	PUNCT
ejpam-5733	405	38	gb	gb	PRON
ejpam-5733	405	39	,	,	PUNCT
ejpam-5733	405	40	r	r	NOUN
ejpam-5733	405	41	)	)	PUNCT
ejpam-5733	405	42	)	)	PUNCT
ejpam-5733	405	43	,	,	PUNCT
ejpam-5733	405	44	r	r	X
ejpam-5733	405	45	]	]	X
ejpam-5733	405	46	⊓	⊓	PROPN
ejpam-5733	405	47	m[e	m[e	NOUN
ejpam-5733	405	48	,	,	PUNCT
ejpam-5733	405	49	φ−1	φ−1	PROPN
ejpam-5733	405	50	ψ	ψ	SYM
ejpam-5733	405	51	(	(	PUNCT
ejpam-5733	405	52	n	n	X
ejpam-5733	405	53	(	(	PUNCT
ejpam-5733	405	54	k	k	X
ejpam-5733	405	55	,	,	PUNCT
ejpam-5733	405	56	gb	gb	PROPN
ejpam-5733	405	57	,	,	PUNCT
ejpam-5733	405	58	r	r	NOUN
ejpam-5733	405	59	)	)	PUNCT
ejpam-5733	405	60	)	)	PUNCT
ejpam-5733	405	61	,	,	PUNCT
ejpam-5733	406	1	r	r	X
ejpam-5733	406	2	]	]	X
ejpam-5733	406	3	=	=	PUNCT
ejpam-5733	406	4	φ	φ	PROPN
ejpam-5733	406	5	for	for	ADP
ejpam-5733	406	6	each	each	DET
ejpam-5733	406	7	gb	gb	PROPN
ejpam-5733	406	8	∈	∈	PROPN
ejpam-5733	406	9	(	(	PUNCT
ejpam-5733	406	10	̃v	̃v	NOUN
ejpam-5733	406	11	,	,	PUNCT
ejpam-5733	406	12	f	f	PROPN
ejpam-5733	406	13	)	)	PUNCT
ejpam-5733	406	14	with	with	ADP
ejpam-5733	406	15	τ∗k	τ∗k	PUNCT
ejpam-5733	406	16	(	(	PUNCT
ejpam-5733	406	17	gb	gb	NOUN
ejpam-5733	406	18	)	)	PUNCT
ejpam-5733	406	19	≥	≥	NOUN
ejpam-5733	406	20	r	r	NOUN
ejpam-5733	406	21	,	,	PUNCT
ejpam-5733	406	22	e	e	NOUN
ejpam-5733	406	23	∈	∈	PROPN
ejpam-5733	406	24	e	e	NOUN
ejpam-5733	406	25	,	,	PUNCT
ejpam-5733	406	26	and	and	CCONJ
ejpam-5733	406	27	(	(	PUNCT
ejpam-5733	406	28	k	k	X
ejpam-5733	406	29	=	=	PUNCT
ejpam-5733	406	30	ψ(e	ψ(e	PROPN
ejpam-5733	406	31	)	)	PUNCT
ejpam-5733	406	32	)	)	PUNCT
ejpam-5733	407	1	∈	∈	PROPN
ejpam-5733	407	2	f	f	INTJ
ejpam-5733	407	3	.	.	PUNCT
ejpam-5733	408	1	in	in	ADP
ejpam-5733	408	2	(	(	PUNCT
ejpam-5733	408	3	2014	2014	NUM
ejpam-5733	408	4	)	)	PUNCT
ejpam-5733	408	5	,	,	PUNCT
ejpam-5733	408	6	aygünoǧlu	aygünoǧlu	PROPN
ejpam-5733	408	7	et	et	PROPN
ejpam-5733	408	8	al	al	PROPN
ejpam-5733	408	9	.	.	PUNCT
ejpam-5733	409	1	[	[	X
ejpam-5733	409	2	20	20	NUM
ejpam-5733	409	3	]	]	PUNCT
ejpam-5733	409	4	introduced	introduce	VERB
ejpam-5733	409	5	the	the	DET
ejpam-5733	409	6	concept	concept	NOUN
ejpam-5733	409	7	of	of	ADP
ejpam-5733	409	8	fuzzy	fuzzy	ADJ
ejpam-5733	409	9	soft	soft	ADJ
ejpam-5733	409	10	continuous	continuous	ADJ
ejpam-5733	409	11	functions	function	NOUN
ejpam-5733	409	12	:	:	PUNCT
ejpam-5733	409	13	τe(φ	τe(φ	NUM
ejpam-5733	409	14	−1	−1	NOUN
ejpam-5733	409	15	ψ	ψ	X
ejpam-5733	409	16	(	(	PUNCT
ejpam-5733	409	17	gb	gb	NOUN
ejpam-5733	409	18	)	)	PUNCT
ejpam-5733	409	19	)	)	PUNCT
ejpam-5733	409	20	≥	≥	NOUN
ejpam-5733	409	21	τ∗k	τ∗k	PUNCT
ejpam-5733	409	22	(	(	PUNCT
ejpam-5733	409	23	gb	gb	NOUN
ejpam-5733	409	24	)	)	PUNCT
ejpam-5733	409	25	,	,	PUNCT
ejpam-5733	409	26	for	for	ADP
ejpam-5733	409	27	each	each	DET
ejpam-5733	409	28	gb	gb	NOUN
ejpam-5733	409	29	∈	∈	PROPN
ejpam-5733	409	30	(	(	PUNCT
ejpam-5733	409	31	̃v	̃v	NOUN
ejpam-5733	409	32	,	,	PUNCT
ejpam-5733	409	33	f	f	PROPN
ejpam-5733	409	34	)	)	PUNCT
ejpam-5733	409	35	,	,	PUNCT
ejpam-5733	409	36	e	e	PROPN
ejpam-5733	409	37	∈	∈	PROPN
ejpam-5733	409	38	e	e	NOUN
ejpam-5733	409	39	,	,	PUNCT
ejpam-5733	409	40	and	and	CCONJ
ejpam-5733	409	41	(	(	PUNCT
ejpam-5733	409	42	k	k	X
ejpam-5733	409	43	=	=	PUNCT
ejpam-5733	409	44	ψ(e	ψ(e	PROPN
ejpam-5733	409	45	)	)	PUNCT
ejpam-5733	409	46	)	)	PUNCT
ejpam-5733	410	1	∈	∈	PROPN
ejpam-5733	410	2	f	f	INTJ
ejpam-5733	410	3	.	.	PUNCT
ejpam-5733	411	1	we	we	PRON
ejpam-5733	411	2	can	can	AUX
ejpam-5733	411	3	see	see	VERB
ejpam-5733	411	4	that	that	DET
ejpam-5733	411	5	definition	definition	NOUN
ejpam-5733	411	6	4.2	4.2	NUM
ejpam-5733	411	7	generalizes	generalize	VERB
ejpam-5733	411	8	the	the	DET
ejpam-5733	411	9	concept	concept	NOUN
ejpam-5733	411	10	of	of	ADP
ejpam-5733	411	11	fuzzy	fuzzy	ADJ
ejpam-5733	411	12	soft	soft	ADJ
ejpam-5733	411	13	continuous	continuous	ADJ
ejpam-5733	411	14	functions	function	NOUN
ejpam-5733	411	15	when	when	SCONJ
ejpam-5733	411	16	we	we	PRON
ejpam-5733	411	17	choose	choose	VERB
ejpam-5733	411	18	l	l	NOUN
ejpam-5733	411	19	=	=	SYM
ejpam-5733	411	20	identity	identity	NOUN
ejpam-5733	411	21	operator	operator	NOUN
ejpam-5733	411	22	,	,	PUNCT
ejpam-5733	411	23	m	m	NOUN
ejpam-5733	411	24	=	=	ADJ
ejpam-5733	411	25	interior	interior	ADJ
ejpam-5733	411	26	operator	operator	NOUN
ejpam-5733	411	27	,	,	PUNCT
ejpam-5733	411	28	n	n	NOUN
ejpam-5733	411	29	=	=	NOUN
ejpam-5733	411	30	identity	identity	NOUN
ejpam-5733	411	31	operator	operator	NOUN
ejpam-5733	411	32	,	,	PUNCT
ejpam-5733	411	33	and	and	CCONJ
ejpam-5733	411	34	o	o	NOUN
ejpam-5733	411	35	=	=	NOUN
ejpam-5733	411	36	identity	identity	NOUN
ejpam-5733	411	37	operator	operator	NOUN
ejpam-5733	411	38	.	.	PUNCT
ejpam-5733	412	1	a	a	DET
ejpam-5733	412	2	historical	historical	ADJ
ejpam-5733	412	3	justification	justification	NOUN
ejpam-5733	412	4	of	of	ADP
ejpam-5733	412	5	definition	definition	NOUN
ejpam-5733	412	6	13	13	NUM
ejpam-5733	412	7	:	:	PUNCT
ejpam-5733	412	8	(	(	PUNCT
ejpam-5733	412	9	1	1	X
ejpam-5733	412	10	)	)	PUNCT
ejpam-5733	412	11	in	in	ADP
ejpam-5733	412	12	section	section	NOUN
ejpam-5733	412	13	3	3	NUM
ejpam-5733	412	14	,	,	PUNCT
ejpam-5733	412	15	we	we	PRON
ejpam-5733	412	16	introduced	introduce	VERB
ejpam-5733	412	17	the	the	DET
ejpam-5733	412	18	concept	concept	NOUN
ejpam-5733	412	19	of	of	ADP
ejpam-5733	412	20	fuzzy	fuzzy	ADJ
ejpam-5733	412	21	soft	soft	ADJ
ejpam-5733	412	22	δ	δ	NOUN
ejpam-5733	412	23	-	-	ADJ
ejpam-5733	412	24	continuous	continuous	ADJ
ejpam-5733	412	25	functions	function	NOUN
ejpam-5733	412	26	:	:	PUNCT
ejpam-5733	412	27	iτ	iτ	NOUN
ejpam-5733	412	28	(	(	PUNCT
ejpam-5733	412	29	e	e	NOUN
ejpam-5733	412	30	,	,	PUNCT
ejpam-5733	412	31	cτ	cτ	INTJ
ejpam-5733	412	32	(	(	PUNCT
ejpam-5733	412	33	e	e	NOUN
ejpam-5733	412	34	,	,	PUNCT
ejpam-5733	412	35	φ	φ	PROPN
ejpam-5733	412	36	−1	−1	NOUN
ejpam-5733	412	37	ψ	ψ	X
ejpam-5733	412	38	(	(	PUNCT
ejpam-5733	412	39	gb	gb	NOUN
ejpam-5733	412	40	)	)	PUNCT
ejpam-5733	412	41	,	,	PUNCT
ejpam-5733	412	42	r	r	NOUN
ejpam-5733	412	43	)	)	PUNCT
ejpam-5733	412	44	,	,	PUNCT
ejpam-5733	412	45	r	r	X
ejpam-5733	412	46	)	)	PUNCT
ejpam-5733	412	47	⊑	⊑	PROPN
ejpam-5733	412	48	cτ	cτ	VERB
ejpam-5733	412	49	(	(	PUNCT
ejpam-5733	412	50	e	e	NOUN
ejpam-5733	412	51	,	,	PUNCT
ejpam-5733	412	52	iτ	iτ	X
ejpam-5733	412	53	(	(	PUNCT
ejpam-5733	412	54	e	e	NOUN
ejpam-5733	412	55	,	,	PUNCT
ejpam-5733	412	56	φ	φ	PROPN
ejpam-5733	412	57	−1	−1	NOUN
ejpam-5733	412	58	ψ	ψ	X
ejpam-5733	412	59	(	(	PUNCT
ejpam-5733	412	60	gb	gb	NOUN
ejpam-5733	412	61	)	)	PUNCT
ejpam-5733	412	62	,	,	PUNCT
ejpam-5733	412	63	r	r	NOUN
ejpam-5733	412	64	)	)	PUNCT
ejpam-5733	412	65	,	,	PUNCT
ejpam-5733	412	66	r	r	NOUN
ejpam-5733	412	67	)	)	PUNCT
ejpam-5733	412	68	,	,	PUNCT
ejpam-5733	412	69	for	for	ADP
ejpam-5733	412	70	each	each	DET
ejpam-5733	412	71	gb	gb	NOUN
ejpam-5733	412	72	∈	∈	PROPN
ejpam-5733	412	73	(	(	PUNCT
ejpam-5733	412	74	̃v	̃v	NOUN
ejpam-5733	412	75	,	,	PUNCT
ejpam-5733	412	76	f	f	PROPN
ejpam-5733	412	77	)	)	PUNCT
ejpam-5733	412	78	with	with	ADP
ejpam-5733	412	79	τ∗k	τ∗k	PUNCT
ejpam-5733	412	80	(	(	PUNCT
ejpam-5733	412	81	gb	gb	NOUN
ejpam-5733	412	82	)	)	PUNCT
ejpam-5733	412	83	≥	≥	NOUN
ejpam-5733	412	84	r.	r.	PROPN
ejpam-5733	412	85	here	here	ADV
ejpam-5733	412	86	,	,	PUNCT
ejpam-5733	412	87	l	l	NOUN
ejpam-5733	412	88	=	=	SYM
ejpam-5733	412	89	interior	interior	ADJ
ejpam-5733	412	90	closure	closure	NOUN
ejpam-5733	412	91	operator	operator	NOUN
ejpam-5733	412	92	,	,	PUNCT
ejpam-5733	412	93	m	m	VERB
ejpam-5733	412	94	=	=	NOUN
ejpam-5733	412	95	closure	closure	ADJ
ejpam-5733	412	96	interior	interior	ADJ
ejpam-5733	412	97	operator	operator	NOUN
ejpam-5733	412	98	,	,	PUNCT
ejpam-5733	412	99	n	n	NOUN
ejpam-5733	412	100	=	=	NOUN
ejpam-5733	412	101	identity	identity	NOUN
ejpam-5733	412	102	operator	operator	NOUN
ejpam-5733	412	103	,	,	PUNCT
ejpam-5733	412	104	and	and	CCONJ
ejpam-5733	412	105	o	o	NOUN
ejpam-5733	412	106	=	=	NOUN
ejpam-5733	412	107	identity	identity	NOUN
ejpam-5733	412	108	operator	operator	NOUN
ejpam-5733	412	109	.	.	PUNCT
ejpam-5733	413	1	(	(	PUNCT
ejpam-5733	413	2	2	2	X
ejpam-5733	413	3	)	)	PUNCT
ejpam-5733	413	4	in	in	ADP
ejpam-5733	413	5	section	section	NOUN
ejpam-5733	413	6	3	3	NUM
ejpam-5733	413	7	,	,	PUNCT
ejpam-5733	413	8	we	we	PRON
ejpam-5733	413	9	introduced	introduce	VERB
ejpam-5733	413	10	the	the	DET
ejpam-5733	413	11	concept	concept	NOUN
ejpam-5733	413	12	of	of	ADP
ejpam-5733	413	13	fuzzy	fuzzy	ADJ
ejpam-5733	413	14	soft	soft	ADJ
ejpam-5733	413	15	β	β	ADJ
ejpam-5733	413	16	-	-	ADJ
ejpam-5733	413	17	continuous	continuous	ADJ
ejpam-5733	413	18	functions	function	NOUN
ejpam-5733	413	19	:	:	PUNCT
ejpam-5733	413	20	φ−1	φ−1	PROPN
ejpam-5733	413	21	ψ	ψ	X
ejpam-5733	413	22	(	(	PUNCT
ejpam-5733	413	23	gb	gb	PROPN
ejpam-5733	413	24	)	)	PUNCT
ejpam-5733	413	25	⊑	⊑	PROPN
ejpam-5733	413	26	cτ	cτ	VERB
ejpam-5733	413	27	(	(	PUNCT
ejpam-5733	413	28	e	e	NOUN
ejpam-5733	413	29	,	,	PUNCT
ejpam-5733	413	30	iτ	iτ	X
ejpam-5733	413	31	(	(	PUNCT
ejpam-5733	413	32	e	e	NOUN
ejpam-5733	413	33	,	,	PUNCT
ejpam-5733	413	34	cτ	cτ	INTJ
ejpam-5733	413	35	(	(	PUNCT
ejpam-5733	413	36	e	e	NOUN
ejpam-5733	413	37	,	,	PUNCT
ejpam-5733	413	38	φ	φ	PROPN
ejpam-5733	413	39	−1	−1	NOUN
ejpam-5733	413	40	ψ	ψ	X
ejpam-5733	413	41	(	(	PUNCT
ejpam-5733	413	42	gb	gb	NOUN
ejpam-5733	413	43	)	)	PUNCT
ejpam-5733	413	44	,	,	PUNCT
ejpam-5733	413	45	r	r	NOUN
ejpam-5733	413	46	)	)	PUNCT
ejpam-5733	413	47	,	,	PUNCT
ejpam-5733	413	48	r	r	NOUN
ejpam-5733	413	49	)	)	PUNCT
ejpam-5733	413	50	,	,	PUNCT
ejpam-5733	413	51	r	r	NOUN
ejpam-5733	413	52	)	)	PUNCT
ejpam-5733	413	53	,	,	PUNCT
ejpam-5733	413	54	for	for	ADP
ejpam-5733	413	55	each	each	DET
ejpam-5733	413	56	gb	gb	NOUN
ejpam-5733	413	57	∈	∈	PROPN
ejpam-5733	413	58	(	(	PUNCT
ejpam-5733	413	59	̃v	̃v	NOUN
ejpam-5733	413	60	,	,	PUNCT
ejpam-5733	413	61	f	f	PROPN
ejpam-5733	413	62	)	)	PUNCT
ejpam-5733	413	63	with	with	ADP
ejpam-5733	413	64	τ∗k	τ∗k	PUNCT
ejpam-5733	413	65	(	(	PUNCT
ejpam-5733	413	66	gb	gb	NOUN
ejpam-5733	413	67	)	)	PUNCT
ejpam-5733	413	68	≥	≥	NOUN
ejpam-5733	413	69	r.	r.	PROPN
ejpam-5733	413	70	here	here	ADV
ejpam-5733	413	71	,	,	PUNCT
ejpam-5733	413	72	l	l	NOUN
ejpam-5733	413	73	=	=	SYM
ejpam-5733	413	74	identity	identity	NOUN
ejpam-5733	413	75	operator	operator	NOUN
ejpam-5733	413	76	,	,	PUNCT
ejpam-5733	413	77	m	m	NOUN
ejpam-5733	413	78	=	=	NOUN
ejpam-5733	413	79	closure	closure	ADJ
ejpam-5733	413	80	interior	interior	ADJ
ejpam-5733	413	81	closure	closure	NOUN
ejpam-5733	413	82	operator	operator	NOUN
ejpam-5733	413	83	,	,	PUNCT
ejpam-5733	413	84	n	n	NOUN
ejpam-5733	413	85	=	=	NOUN
ejpam-5733	413	86	identity	identity	NOUN
ejpam-5733	413	87	operator	operator	NOUN
ejpam-5733	413	88	,	,	PUNCT
ejpam-5733	413	89	and	and	CCONJ
ejpam-5733	413	90	o	o	NOUN
ejpam-5733	413	91	=	=	NOUN
ejpam-5733	413	92	identity	identity	NOUN
ejpam-5733	413	93	operator	operator	NOUN
ejpam-5733	413	94	.	.	PUNCT
ejpam-5733	414	1	(	(	PUNCT
ejpam-5733	414	2	3	3	X
ejpam-5733	414	3	)	)	PUNCT
ejpam-5733	414	4	in	in	ADP
ejpam-5733	414	5	section	section	NOUN
ejpam-5733	414	6	3	3	NUM
ejpam-5733	414	7	,	,	PUNCT
ejpam-5733	414	8	we	we	PRON
ejpam-5733	414	9	introduced	introduce	VERB
ejpam-5733	414	10	the	the	DET
ejpam-5733	414	11	concept	concept	NOUN
ejpam-5733	414	12	of	of	ADP
ejpam-5733	414	13	fuzzy	fuzzy	ADJ
ejpam-5733	414	14	soft	soft	ADJ
ejpam-5733	414	15	semi	semi	ADJ
ejpam-5733	414	16	-	-	ADJ
ejpam-5733	414	17	continuous	continuous	ADJ
ejpam-5733	414	18	functions	function	NOUN
ejpam-5733	414	19	:	:	PUNCT
ejpam-5733	414	20	φ−1	φ−1	PROPN
ejpam-5733	414	21	ψ	ψ	X
ejpam-5733	414	22	(	(	PUNCT
ejpam-5733	414	23	gb	gb	PROPN
ejpam-5733	414	24	)	)	PUNCT
ejpam-5733	414	25	⊑	⊑	PROPN
ejpam-5733	414	26	cτ	cτ	VERB
ejpam-5733	414	27	(	(	PUNCT
ejpam-5733	414	28	e	e	NOUN
ejpam-5733	414	29	,	,	PUNCT
ejpam-5733	414	30	iτ	iτ	X
ejpam-5733	414	31	(	(	PUNCT
ejpam-5733	414	32	e	e	NOUN
ejpam-5733	414	33	,	,	PUNCT
ejpam-5733	414	34	φ	φ	PROPN
ejpam-5733	414	35	−1	−1	NOUN
ejpam-5733	414	36	ψ	ψ	X
ejpam-5733	414	37	(	(	PUNCT
ejpam-5733	414	38	gb	gb	NOUN
ejpam-5733	414	39	)	)	PUNCT
ejpam-5733	414	40	,	,	PUNCT
ejpam-5733	414	41	r	r	NOUN
ejpam-5733	414	42	)	)	PUNCT
ejpam-5733	414	43	,	,	PUNCT
ejpam-5733	414	44	r	r	NOUN
ejpam-5733	414	45	)	)	PUNCT
ejpam-5733	414	46	,	,	PUNCT
ejpam-5733	414	47	for	for	ADP
ejpam-5733	414	48	each	each	DET
ejpam-5733	414	49	gb	gb	NOUN
ejpam-5733	414	50	∈	∈	PROPN
ejpam-5733	414	51	(	(	PUNCT
ejpam-5733	414	52	̃v	̃v	NOUN
ejpam-5733	414	53	,	,	PUNCT
ejpam-5733	414	54	f	f	PROPN
ejpam-5733	414	55	)	)	PUNCT
ejpam-5733	414	56	with	with	ADP
ejpam-5733	414	57	τ∗k	τ∗k	PUNCT
ejpam-5733	414	58	(	(	PUNCT
ejpam-5733	414	59	gb	gb	NOUN
ejpam-5733	414	60	)	)	PUNCT
ejpam-5733	414	61	≥	≥	NOUN
ejpam-5733	414	62	r.	r.	PROPN
ejpam-5733	414	63	here	here	ADV
ejpam-5733	414	64	,	,	PUNCT
ejpam-5733	414	65	l	l	NOUN
ejpam-5733	414	66	=	=	SYM
ejpam-5733	414	67	i.	i.	PROPN
ejpam-5733	414	68	alshammari	alshammari	PROPN
ejpam-5733	414	69	et	et	PROPN
ejpam-5733	414	70	al	al	PROPN
ejpam-5733	414	71	.	.	PUNCT
ejpam-5733	414	72	/	/	SYM
ejpam-5733	414	73	eur	eur	PROPN
ejpam-5733	414	74	.	.	PUNCT
ejpam-5733	415	1	j.	j.	PROPN
ejpam-5733	415	2	pure	pure	PROPN
ejpam-5733	415	3	appl	appl	PROPN
ejpam-5733	415	4	.	.	PROPN
ejpam-5733	415	5	math	math	PROPN
ejpam-5733	415	6	,	,	PUNCT
ejpam-5733	415	7	18	18	NUM
ejpam-5733	415	8	(	(	PUNCT
ejpam-5733	415	9	1	1	NUM
ejpam-5733	415	10	)	)	PUNCT
ejpam-5733	415	11	(	(	PUNCT
ejpam-5733	415	12	2025	2025	NUM
ejpam-5733	415	13	)	)	PUNCT
ejpam-5733	415	14	,	,	PUNCT
ejpam-5733	415	15	5733	5733	NUM
ejpam-5733	415	16	18	18	NUM
ejpam-5733	415	17	of	of	ADP
ejpam-5733	415	18	21	21	NUM
ejpam-5733	415	19	identity	identity	NOUN
ejpam-5733	415	20	operator	operator	NOUN
ejpam-5733	415	21	,	,	PUNCT
ejpam-5733	415	22	m	m	NOUN
ejpam-5733	415	23	=	=	VERB
ejpam-5733	415	24	closure	closure	ADJ
ejpam-5733	415	25	interior	interior	ADJ
ejpam-5733	415	26	operator	operator	NOUN
ejpam-5733	415	27	,	,	PUNCT
ejpam-5733	415	28	n	n	NOUN
ejpam-5733	415	29	=	=	NOUN
ejpam-5733	415	30	identity	identity	NOUN
ejpam-5733	415	31	operator	operator	NOUN
ejpam-5733	415	32	,	,	PUNCT
ejpam-5733	415	33	and	and	CCONJ
ejpam-5733	415	34	o	o	NOUN
ejpam-5733	415	35	=	=	NOUN
ejpam-5733	415	36	identity	identity	NOUN
ejpam-5733	415	37	operator	operator	NOUN
ejpam-5733	415	38	.	.	PUNCT
ejpam-5733	416	1	(	(	PUNCT
ejpam-5733	416	2	4	4	X
ejpam-5733	416	3	)	)	PUNCT
ejpam-5733	416	4	in	in	ADP
ejpam-5733	416	5	section	section	NOUN
ejpam-5733	416	6	3	3	NUM
ejpam-5733	416	7	,	,	PUNCT
ejpam-5733	416	8	we	we	PRON
ejpam-5733	416	9	introduced	introduce	VERB
ejpam-5733	416	10	the	the	DET
ejpam-5733	416	11	concept	concept	NOUN
ejpam-5733	416	12	of	of	ADP
ejpam-5733	416	13	fuzzy	fuzzy	ADJ
ejpam-5733	416	14	soft	soft	ADJ
ejpam-5733	416	15	pre	pre	ADJ
ejpam-5733	416	16	-	-	ADJ
ejpam-5733	416	17	continuous	continuous	ADJ
ejpam-5733	416	18	functions	function	NOUN
ejpam-5733	416	19	:	:	PUNCT
ejpam-5733	416	20	φ−1	φ−1	PROPN
ejpam-5733	416	21	ψ	ψ	X
ejpam-5733	416	22	(	(	PUNCT
ejpam-5733	416	23	gb	gb	PROPN
ejpam-5733	416	24	)	)	PUNCT
ejpam-5733	416	25	⊑	⊑	X
ejpam-5733	416	26	iτ	iτ	X
ejpam-5733	416	27	(	(	PUNCT
ejpam-5733	416	28	e	e	NOUN
ejpam-5733	416	29	,	,	PUNCT
ejpam-5733	416	30	cτ	cτ	INTJ
ejpam-5733	416	31	(	(	PUNCT
ejpam-5733	416	32	e	e	NOUN
ejpam-5733	416	33	,	,	PUNCT
ejpam-5733	416	34	φ	φ	PROPN
ejpam-5733	416	35	−1	−1	NOUN
ejpam-5733	416	36	ψ	ψ	X
ejpam-5733	416	37	(	(	PUNCT
ejpam-5733	416	38	gb	gb	NOUN
ejpam-5733	416	39	)	)	PUNCT
ejpam-5733	416	40	,	,	PUNCT
ejpam-5733	416	41	r	r	NOUN
ejpam-5733	416	42	)	)	PUNCT
ejpam-5733	416	43	,	,	PUNCT
ejpam-5733	416	44	r	r	NOUN
ejpam-5733	416	45	)	)	PUNCT
ejpam-5733	416	46	,	,	PUNCT
ejpam-5733	416	47	for	for	ADP
ejpam-5733	416	48	each	each	DET
ejpam-5733	416	49	gb	gb	NOUN
ejpam-5733	416	50	∈	∈	PROPN
ejpam-5733	416	51	(	(	PUNCT
ejpam-5733	416	52	̃v	̃v	NOUN
ejpam-5733	416	53	,	,	PUNCT
ejpam-5733	416	54	f	f	PROPN
ejpam-5733	416	55	)	)	PUNCT
ejpam-5733	416	56	with	with	ADP
ejpam-5733	416	57	τ∗k	τ∗k	PUNCT
ejpam-5733	416	58	(	(	PUNCT
ejpam-5733	416	59	gb	gb	NOUN
ejpam-5733	416	60	)	)	PUNCT
ejpam-5733	416	61	≥	≥	NOUN
ejpam-5733	416	62	r.	r.	PROPN
ejpam-5733	416	63	here	here	ADV
ejpam-5733	416	64	,	,	PUNCT
ejpam-5733	416	65	l	l	NOUN
ejpam-5733	416	66	=	=	SYM
ejpam-5733	416	67	identity	identity	NOUN
ejpam-5733	416	68	operator	operator	NOUN
ejpam-5733	416	69	,	,	PUNCT
ejpam-5733	416	70	m	m	VERB
ejpam-5733	416	71	=	=	ADJ
ejpam-5733	416	72	interior	interior	ADJ
ejpam-5733	416	73	closure	closure	NOUN
ejpam-5733	416	74	operator	operator	NOUN
ejpam-5733	416	75	,	,	PUNCT
ejpam-5733	416	76	n	n	NOUN
ejpam-5733	416	77	=	=	NOUN
ejpam-5733	416	78	identity	identity	NOUN
ejpam-5733	416	79	operator	operator	NOUN
ejpam-5733	416	80	,	,	PUNCT
ejpam-5733	416	81	and	and	CCONJ
ejpam-5733	416	82	o	o	NOUN
ejpam-5733	416	83	=	=	NOUN
ejpam-5733	416	84	identity	identity	NOUN
ejpam-5733	416	85	operator	operator	NOUN
ejpam-5733	416	86	.	.	PUNCT
ejpam-5733	417	1	(	(	PUNCT
ejpam-5733	417	2	5	5	NUM
ejpam-5733	417	3	)	)	PUNCT
ejpam-5733	417	4	in	in	ADP
ejpam-5733	417	5	section	section	NOUN
ejpam-5733	417	6	3	3	NUM
ejpam-5733	417	7	,	,	PUNCT
ejpam-5733	417	8	we	we	PRON
ejpam-5733	417	9	introduced	introduce	VERB
ejpam-5733	417	10	the	the	DET
ejpam-5733	417	11	concept	concept	NOUN
ejpam-5733	417	12	of	of	ADP
ejpam-5733	417	13	fuzzy	fuzzy	ADJ
ejpam-5733	417	14	soft	soft	ADJ
ejpam-5733	417	15	α	α	ADJ
ejpam-5733	417	16	-	-	ADJ
ejpam-5733	417	17	continuous	continuous	ADJ
ejpam-5733	417	18	functions	function	NOUN
ejpam-5733	417	19	:	:	PUNCT
ejpam-5733	417	20	φ−1	φ−1	PROPN
ejpam-5733	417	21	ψ	ψ	X
ejpam-5733	417	22	(	(	PUNCT
ejpam-5733	417	23	gb	gb	PROPN
ejpam-5733	417	24	)	)	PUNCT
ejpam-5733	417	25	⊑	⊑	X
ejpam-5733	417	26	iτ	iτ	X
ejpam-5733	417	27	(	(	PUNCT
ejpam-5733	417	28	e	e	NOUN
ejpam-5733	417	29	,	,	PUNCT
ejpam-5733	417	30	cτ	cτ	INTJ
ejpam-5733	417	31	(	(	PUNCT
ejpam-5733	417	32	e	e	NOUN
ejpam-5733	417	33	,	,	PUNCT
ejpam-5733	417	34	iτ	iτ	X
ejpam-5733	417	35	(	(	PUNCT
ejpam-5733	417	36	e	e	NOUN
ejpam-5733	417	37	,	,	PUNCT
ejpam-5733	417	38	φ	φ	PROPN
ejpam-5733	417	39	−1	−1	NOUN
ejpam-5733	417	40	ψ	ψ	X
ejpam-5733	417	41	(	(	PUNCT
ejpam-5733	417	42	gb	gb	NOUN
ejpam-5733	417	43	)	)	PUNCT
ejpam-5733	417	44	,	,	PUNCT
ejpam-5733	417	45	r	r	NOUN
ejpam-5733	417	46	)	)	PUNCT
ejpam-5733	417	47	,	,	PUNCT
ejpam-5733	417	48	r	r	NOUN
ejpam-5733	417	49	)	)	PUNCT
ejpam-5733	417	50	,	,	PUNCT
ejpam-5733	417	51	r	r	NOUN
ejpam-5733	417	52	)	)	PUNCT
ejpam-5733	417	53	,	,	PUNCT
ejpam-5733	417	54	for	for	ADP
ejpam-5733	417	55	each	each	DET
ejpam-5733	417	56	gb	gb	NOUN
ejpam-5733	417	57	∈	∈	PROPN
ejpam-5733	417	58	(	(	PUNCT
ejpam-5733	417	59	̃v	̃v	NOUN
ejpam-5733	417	60	,	,	PUNCT
ejpam-5733	417	61	f	f	PROPN
ejpam-5733	417	62	)	)	PUNCT
ejpam-5733	417	63	with	with	ADP
ejpam-5733	417	64	τ∗k	τ∗k	PUNCT
ejpam-5733	417	65	(	(	PUNCT
ejpam-5733	417	66	gb	gb	NOUN
ejpam-5733	417	67	)	)	PUNCT
ejpam-5733	417	68	≥	≥	NOUN
ejpam-5733	417	69	r.	r.	PROPN
ejpam-5733	417	70	here	here	ADV
ejpam-5733	417	71	,	,	PUNCT
ejpam-5733	417	72	l	l	NOUN
ejpam-5733	417	73	=	=	SYM
ejpam-5733	417	74	identity	identity	NOUN
ejpam-5733	417	75	operator	operator	NOUN
ejpam-5733	417	76	,	,	PUNCT
ejpam-5733	417	77	m	m	VERB
ejpam-5733	417	78	=	=	ADJ
ejpam-5733	417	79	interior	interior	ADJ
ejpam-5733	417	80	closure	closure	ADJ
ejpam-5733	417	81	interior	interior	ADJ
ejpam-5733	417	82	operator	operator	NOUN
ejpam-5733	417	83	,	,	PUNCT
ejpam-5733	417	84	n	n	NOUN
ejpam-5733	417	85	=	=	NOUN
ejpam-5733	417	86	identity	identity	NOUN
ejpam-5733	417	87	operator	operator	NOUN
ejpam-5733	417	88	,	,	PUNCT
ejpam-5733	417	89	and	and	CCONJ
ejpam-5733	417	90	o	o	NOUN
ejpam-5733	417	91	=	=	NOUN
ejpam-5733	417	92	identity	identity	NOUN
ejpam-5733	417	93	operator	operator	NOUN
ejpam-5733	417	94	.	.	PUNCT
ejpam-5733	418	1	(	(	PUNCT
ejpam-5733	418	2	6	6	NUM
ejpam-5733	418	3	)	)	PUNCT
ejpam-5733	418	4	in	in	ADP
ejpam-5733	418	5	section	section	NOUN
ejpam-5733	418	6	4	4	NUM
ejpam-5733	418	7	,	,	PUNCT
ejpam-5733	418	8	we	we	PRON
ejpam-5733	418	9	introduced	introduce	VERB
ejpam-5733	418	10	the	the	DET
ejpam-5733	418	11	concept	concept	NOUN
ejpam-5733	418	12	of	of	ADP
ejpam-5733	418	13	fuzzy	fuzzy	ADJ
ejpam-5733	418	14	soft	soft	ADJ
ejpam-5733	418	15	almost	almost	ADV
ejpam-5733	418	16	continuous	continuous	ADJ
ejpam-5733	418	17	functions	function	NOUN
ejpam-5733	418	18	:	:	PUNCT
ejpam-5733	418	19	φ−1	φ−1	PROPN
ejpam-5733	418	20	ψ	ψ	X
ejpam-5733	418	21	(	(	PUNCT
ejpam-5733	418	22	gb	gb	PROPN
ejpam-5733	418	23	)	)	PUNCT
ejpam-5733	418	24	⊑	⊑	X
ejpam-5733	418	25	iτ	iτ	X
ejpam-5733	418	26	(	(	PUNCT
ejpam-5733	418	27	e	e	PROPN
ejpam-5733	418	28	,	,	PUNCT
ejpam-5733	418	29	φ	φ	PROPN
ejpam-5733	418	30	−1	−1	NOUN
ejpam-5733	418	31	ψ	ψ	X
ejpam-5733	418	32	(	(	PUNCT
ejpam-5733	418	33	iτ∗(k	iτ∗(k	NOUN
ejpam-5733	418	34	,	,	PUNCT
ejpam-5733	418	35	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	418	36	,	,	PUNCT
ejpam-5733	418	37	gb	gb	NOUN
ejpam-5733	418	38	,	,	PUNCT
ejpam-5733	418	39	r	r	NOUN
ejpam-5733	418	40	)	)	PUNCT
ejpam-5733	418	41	,	,	PUNCT
ejpam-5733	418	42	r	r	NOUN
ejpam-5733	418	43	)	)	PUNCT
ejpam-5733	418	44	)	)	PUNCT
ejpam-5733	418	45	,	,	PUNCT
ejpam-5733	418	46	r	r	NOUN
ejpam-5733	418	47	)	)	PUNCT
ejpam-5733	418	48	,	,	PUNCT
ejpam-5733	418	49	for	for	ADP
ejpam-5733	418	50	each	each	DET
ejpam-5733	418	51	gb	gb	NOUN
ejpam-5733	418	52	∈	∈	PROPN
ejpam-5733	418	53	(	(	PUNCT
ejpam-5733	418	54	̃v	̃v	NOUN
ejpam-5733	418	55	,	,	PUNCT
ejpam-5733	418	56	f	f	PROPN
ejpam-5733	418	57	)	)	PUNCT
ejpam-5733	418	58	with	with	ADP
ejpam-5733	418	59	τ∗k	τ∗k	PUNCT
ejpam-5733	418	60	(	(	PUNCT
ejpam-5733	418	61	gb	gb	NOUN
ejpam-5733	418	62	)	)	PUNCT
ejpam-5733	418	63	≥	≥	NOUN
ejpam-5733	418	64	r.	r.	PROPN
ejpam-5733	418	65	here	here	ADV
ejpam-5733	418	66	,	,	PUNCT
ejpam-5733	418	67	l	l	NOUN
ejpam-5733	418	68	=	=	SYM
ejpam-5733	418	69	identity	identity	NOUN
ejpam-5733	418	70	operator	operator	NOUN
ejpam-5733	418	71	,	,	PUNCT
ejpam-5733	418	72	m	m	NOUN
ejpam-5733	418	73	=	=	ADJ
ejpam-5733	418	74	interior	interior	ADJ
ejpam-5733	418	75	operator	operator	NOUN
ejpam-5733	418	76	,	,	PUNCT
ejpam-5733	418	77	n	n	NOUN
ejpam-5733	418	78	=	=	SYM
ejpam-5733	418	79	interior	interior	ADJ
ejpam-5733	418	80	closure	closure	NOUN
ejpam-5733	418	81	operator	operator	NOUN
ejpam-5733	418	82	,	,	PUNCT
ejpam-5733	418	83	and	and	CCONJ
ejpam-5733	418	84	o	o	NOUN
ejpam-5733	418	85	=	=	NOUN
ejpam-5733	418	86	identity	identity	NOUN
ejpam-5733	418	87	operator	operator	NOUN
ejpam-5733	418	88	.	.	PUNCT
ejpam-5733	419	1	(	(	PUNCT
ejpam-5733	419	2	7	7	X
ejpam-5733	419	3	)	)	PUNCT
ejpam-5733	419	4	in	in	ADP
ejpam-5733	419	5	section	section	NOUN
ejpam-5733	419	6	4	4	NUM
ejpam-5733	419	7	,	,	PUNCT
ejpam-5733	419	8	we	we	PRON
ejpam-5733	419	9	introduced	introduce	VERB
ejpam-5733	419	10	the	the	DET
ejpam-5733	419	11	concept	concept	NOUN
ejpam-5733	419	12	of	of	ADP
ejpam-5733	419	13	fuzzy	fuzzy	ADJ
ejpam-5733	419	14	soft	soft	ADJ
ejpam-5733	419	15	weakly	weakly	ADJ
ejpam-5733	419	16	continuous	continuous	ADJ
ejpam-5733	419	17	functions	function	NOUN
ejpam-5733	419	18	:	:	PUNCT
ejpam-5733	419	19	φ−1	φ−1	PROPN
ejpam-5733	419	20	ψ	ψ	X
ejpam-5733	419	21	(	(	PUNCT
ejpam-5733	419	22	gb	gb	PROPN
ejpam-5733	419	23	)	)	PUNCT
ejpam-5733	419	24	⊑	⊑	X
ejpam-5733	419	25	iτ	iτ	X
ejpam-5733	419	26	(	(	PUNCT
ejpam-5733	419	27	e	e	PROPN
ejpam-5733	419	28	,	,	PUNCT
ejpam-5733	419	29	φ	φ	PROPN
ejpam-5733	419	30	−1	−1	NOUN
ejpam-5733	419	31	ψ	ψ	X
ejpam-5733	419	32	(	(	PUNCT
ejpam-5733	419	33	cτ∗(k	cτ∗(k	NOUN
ejpam-5733	419	34	,	,	PUNCT
ejpam-5733	419	35	gb	gb	NOUN
ejpam-5733	419	36	,	,	PUNCT
ejpam-5733	419	37	r	r	NOUN
ejpam-5733	419	38	)	)	PUNCT
ejpam-5733	419	39	)	)	PUNCT
ejpam-5733	419	40	,	,	PUNCT
ejpam-5733	419	41	r	r	NOUN
ejpam-5733	419	42	)	)	PUNCT
ejpam-5733	419	43	,	,	PUNCT
ejpam-5733	419	44	for	for	ADP
ejpam-5733	419	45	each	each	DET
ejpam-5733	419	46	gb	gb	NOUN
ejpam-5733	419	47	∈	∈	PROPN
ejpam-5733	419	48	(	(	PUNCT
ejpam-5733	419	49	̃v	̃v	NOUN
ejpam-5733	419	50	,	,	PUNCT
ejpam-5733	419	51	f	f	PROPN
ejpam-5733	419	52	)	)	PUNCT
ejpam-5733	419	53	with	with	ADP
ejpam-5733	419	54	τ∗k	τ∗k	PUNCT
ejpam-5733	419	55	(	(	PUNCT
ejpam-5733	419	56	gb	gb	NOUN
ejpam-5733	419	57	)	)	PUNCT
ejpam-5733	419	58	≥	≥	NOUN
ejpam-5733	419	59	r.	r.	PROPN
ejpam-5733	419	60	here	here	ADV
ejpam-5733	419	61	,	,	PUNCT
ejpam-5733	419	62	l	l	NOUN
ejpam-5733	419	63	=	=	SYM
ejpam-5733	419	64	identity	identity	NOUN
ejpam-5733	419	65	operator	operator	NOUN
ejpam-5733	419	66	,	,	PUNCT
ejpam-5733	419	67	m	m	NOUN
ejpam-5733	419	68	=	=	ADJ
ejpam-5733	419	69	interior	interior	ADJ
ejpam-5733	419	70	operator	operator	NOUN
ejpam-5733	419	71	,	,	PUNCT
ejpam-5733	419	72	n	n	NOUN
ejpam-5733	419	73	=	=	SYM
ejpam-5733	419	74	closure	closure	NOUN
ejpam-5733	419	75	operator	operator	NOUN
ejpam-5733	419	76	,	,	PUNCT
ejpam-5733	419	77	and	and	CCONJ
ejpam-5733	419	78	o	o	NOUN
ejpam-5733	419	79	=	=	SYM
ejpam-5733	419	80	identity	identity	NOUN
ejpam-5733	419	81	operator	operator	NOUN
ejpam-5733	419	82	.	.	PUNCT
ejpam-5733	420	1	5	5	NUM
ejpam-5733	420	2	.	.	X
ejpam-5733	420	3	conclusion	conclusion	NOUN
ejpam-5733	420	4	and	and	CCONJ
ejpam-5733	420	5	future	future	ADJ
ejpam-5733	420	6	work	work	NOUN
ejpam-5733	420	7	in	in	ADP
ejpam-5733	420	8	this	this	DET
ejpam-5733	420	9	paper	paper	NOUN
ejpam-5733	420	10	,	,	PUNCT
ejpam-5733	420	11	some	some	DET
ejpam-5733	420	12	new	new	ADJ
ejpam-5733	420	13	types	type	NOUN
ejpam-5733	420	14	of	of	ADP
ejpam-5733	420	15	a	a	DET
ejpam-5733	420	16	fuzzy	fuzzy	ADJ
ejpam-5733	420	17	soft	soft	ADJ
ejpam-5733	420	18	open	open	ADJ
ejpam-5733	420	19	set	set	NOUN
ejpam-5733	420	20	called	call	VERB
ejpam-5733	420	21	an	an	DET
ejpam-5733	420	22	r	r	NOUN
ejpam-5733	420	23	-	-	PUNCT
ejpam-5733	420	24	fuzzy	fuzzy	ADJ
ejpam-5733	420	25	soft	soft	ADJ
ejpam-5733	420	26	δ	δ	NOUN
ejpam-5733	420	27	-	-	ADJ
ejpam-5733	420	28	open	open	ADJ
ejpam-5733	420	29	(	(	PUNCT
ejpam-5733	420	30	semi	semi	ADJ
ejpam-5733	420	31	-	-	ADJ
ejpam-5733	420	32	open	open	ADJ
ejpam-5733	420	33	)	)	PUNCT
ejpam-5733	420	34	set	set	NOUN
ejpam-5733	420	35	have	have	AUX
ejpam-5733	420	36	been	be	AUX
ejpam-5733	420	37	introduced	introduce	VERB
ejpam-5733	420	38	in	in	ADP
ejpam-5733	420	39	an	an	DET
ejpam-5733	420	40	fstss	fstss	NOUN
ejpam-5733	420	41	based	base	VERB
ejpam-5733	420	42	on	on	ADP
ejpam-5733	420	43	the	the	DET
ejpam-5733	420	44	paper	paper	NOUN
ejpam-5733	420	45	by	by	ADP
ejpam-5733	420	46	aygünoǧlu	aygünoǧlu	PROPN
ejpam-5733	420	47	et	et	PROPN
ejpam-5733	420	48	al	al	PROPN
ejpam-5733	420	49	.	.	PUNCT
ejpam-5733	421	1	[	[	X
ejpam-5733	421	2	20	20	NUM
ejpam-5733	421	3	]	]	PUNCT
ejpam-5733	421	4	.	.	PUNCT
ejpam-5733	422	1	in	in	ADP
ejpam-5733	422	2	addition	addition	NOUN
ejpam-5733	422	3	,	,	PUNCT
ejpam-5733	422	4	the	the	DET
ejpam-5733	422	5	concepts	concept	NOUN
ejpam-5733	422	6	of	of	ADP
ejpam-5733	422	7	fuzzy	fuzzy	ADJ
ejpam-5733	422	8	soft	soft	ADJ
ejpam-5733	422	9	δ	δ	NOUN
ejpam-5733	422	10	-	-	NOUN
ejpam-5733	422	11	closure	closure	NOUN
ejpam-5733	422	12	(	(	PUNCT
ejpam-5733	422	13	δ	δ	NOUN
ejpam-5733	422	14	-	-	NOUN
ejpam-5733	422	15	interior	interior	ADJ
ejpam-5733	422	16	)	)	PUNCT
ejpam-5733	422	17	operators	operator	NOUN
ejpam-5733	422	18	have	have	AUX
ejpam-5733	422	19	been	be	AUX
ejpam-5733	422	20	introduced	introduce	VERB
ejpam-5733	422	21	and	and	CCONJ
ejpam-5733	422	22	some	some	DET
ejpam-5733	422	23	properties	property	NOUN
ejpam-5733	422	24	of	of	ADP
ejpam-5733	422	25	them	they	PRON
ejpam-5733	422	26	have	have	AUX
ejpam-5733	422	27	been	be	AUX
ejpam-5733	422	28	investigated	investigate	VERB
ejpam-5733	422	29	.	.	PUNCT
ejpam-5733	423	1	furthermore	furthermore	ADV
ejpam-5733	423	2	,	,	PUNCT
ejpam-5733	423	3	the	the	DET
ejpam-5733	423	4	concept	concept	NOUN
ejpam-5733	423	5	of	of	ADP
ejpam-5733	423	6	r	r	NOUN
ejpam-5733	423	7	-	-	PUNCT
ejpam-5733	423	8	fuzzy	fuzzy	ADJ
ejpam-5733	423	9	soft	soft	ADJ
ejpam-5733	423	10	δ	δ	NOUN
ejpam-5733	423	11	-	-	PUNCT
ejpam-5733	423	12	connected	connect	VERB
ejpam-5733	423	13	sets	set	NOUN
ejpam-5733	423	14	has	have	AUX
ejpam-5733	423	15	been	be	AUX
ejpam-5733	423	16	defined	define	VERB
ejpam-5733	423	17	and	and	CCONJ
ejpam-5733	423	18	studied	study	VERB
ejpam-5733	423	19	with	with	ADP
ejpam-5733	423	20	the	the	DET
ejpam-5733	423	21	help	help	NOUN
ejpam-5733	423	22	of	of	ADP
ejpam-5733	423	23	fuzzy	fuzzy	ADJ
ejpam-5733	423	24	soft	soft	ADJ
ejpam-5733	423	25	δ	δ	NOUN
ejpam-5733	423	26	-	-	PUNCT
ejpam-5733	423	27	closure	closure	NOUN
ejpam-5733	423	28	operators	operator	NOUN
ejpam-5733	423	29	.	.	PUNCT
ejpam-5733	424	1	thereafter	thereafter	ADV
ejpam-5733	424	2	,	,	PUNCT
ejpam-5733	424	3	the	the	DET
ejpam-5733	424	4	concepts	concept	NOUN
ejpam-5733	424	5	of	of	ADP
ejpam-5733	424	6	fuzzy	fuzzy	ADJ
ejpam-5733	424	7	soft	soft	ADJ
ejpam-5733	424	8	δ	δ	NOUN
ejpam-5733	424	9	-	-	ADJ
ejpam-5733	424	10	continuous	continuous	ADJ
ejpam-5733	424	11	(	(	PUNCT
ejpam-5733	424	12	semicontinuous	semicontinuous	ADJ
ejpam-5733	424	13	and	and	CCONJ
ejpam-5733	424	14	pre	pre	ADJ
ejpam-5733	424	15	-	-	ADJ
ejpam-5733	424	16	continuous	continuous	ADJ
ejpam-5733	424	17	)	)	PUNCT
ejpam-5733	424	18	functions	function	NOUN
ejpam-5733	424	19	have	have	AUX
ejpam-5733	424	20	been	be	AUX
ejpam-5733	424	21	introduced	introduce	VERB
ejpam-5733	424	22	and	and	CCONJ
ejpam-5733	424	23	the	the	DET
ejpam-5733	424	24	relations	relation	NOUN
ejpam-5733	424	25	of	of	ADP
ejpam-5733	424	26	these	these	DET
ejpam-5733	424	27	functions	function	NOUN
ejpam-5733	424	28	with	with	ADP
ejpam-5733	424	29	each	each	DET
ejpam-5733	424	30	other	other	ADJ
ejpam-5733	424	31	have	have	AUX
ejpam-5733	424	32	been	be	AUX
ejpam-5733	424	33	specified	specify	VERB
ejpam-5733	424	34	with	with	ADP
ejpam-5733	424	35	the	the	DET
ejpam-5733	424	36	help	help	NOUN
ejpam-5733	424	37	of	of	ADP
ejpam-5733	424	38	some	some	DET
ejpam-5733	424	39	illustrative	illustrative	ADJ
ejpam-5733	424	40	examples	example	NOUN
ejpam-5733	424	41	.	.	PUNCT
ejpam-5733	425	1	moreover	moreover	ADV
ejpam-5733	425	2	,	,	PUNCT
ejpam-5733	425	3	a	a	DET
ejpam-5733	425	4	decomposition	decomposition	NOUN
ejpam-5733	425	5	of	of	ADP
ejpam-5733	425	6	fuzzy	fuzzy	ADJ
ejpam-5733	425	7	soft	soft	ADJ
ejpam-5733	425	8	semi	semi	ADJ
ejpam-5733	425	9	-	-	NOUN
ejpam-5733	425	10	continuity	continuity	NOUN
ejpam-5733	425	11	and	and	CCONJ
ejpam-5733	425	12	a	a	DET
ejpam-5733	425	13	decomposition	decomposition	NOUN
ejpam-5733	425	14	of	of	ADP
ejpam-5733	425	15	fuzzy	fuzzy	ADJ
ejpam-5733	425	16	soft	soft	ADJ
ejpam-5733	425	17	α	α	NOUN
ejpam-5733	425	18	-	-	PUNCT
ejpam-5733	425	19	continuity	continuity	NOUN
ejpam-5733	425	20	have	have	AUX
ejpam-5733	425	21	been	be	AUX
ejpam-5733	425	22	obtained	obtain	VERB
ejpam-5733	425	23	.	.	PUNCT
ejpam-5733	426	1	in	in	ADP
ejpam-5733	426	2	the	the	DET
ejpam-5733	426	3	end	end	NOUN
ejpam-5733	426	4	,	,	PUNCT
ejpam-5733	426	5	as	as	ADP
ejpam-5733	426	6	a	a	DET
ejpam-5733	426	7	weaker	weak	ADJ
ejpam-5733	426	8	form	form	NOUN
ejpam-5733	426	9	of	of	ADP
ejpam-5733	426	10	fuzzy	fuzzy	ADJ
ejpam-5733	426	11	soft	soft	ADJ
ejpam-5733	426	12	continuity	continuity	NOUN
ejpam-5733	426	13	[	[	X
ejpam-5733	426	14	20	20	NUM
ejpam-5733	426	15	]	]	PUNCT
ejpam-5733	426	16	,	,	PUNCT
ejpam-5733	426	17	the	the	DET
ejpam-5733	426	18	concepts	concept	NOUN
ejpam-5733	426	19	of	of	ADP
ejpam-5733	426	20	fuzzy	fuzzy	ADJ
ejpam-5733	426	21	soft	soft	ADJ
ejpam-5733	426	22	almost	almost	ADV
ejpam-5733	426	23	(	(	PUNCT
ejpam-5733	426	24	weakly	weakly	ADJ
ejpam-5733	426	25	)	)	PUNCT
ejpam-5733	426	26	continuous	continuous	ADJ
ejpam-5733	426	27	functions	function	NOUN
ejpam-5733	426	28	have	have	AUX
ejpam-5733	426	29	been	be	AUX
ejpam-5733	426	30	introduced	introduce	VERB
ejpam-5733	426	31	and	and	CCONJ
ejpam-5733	426	32	some	some	DET
ejpam-5733	426	33	properties	property	NOUN
ejpam-5733	426	34	have	have	AUX
ejpam-5733	426	35	been	be	AUX
ejpam-5733	426	36	obtained	obtain	VERB
ejpam-5733	426	37	.	.	PUNCT
ejpam-5733	427	1	also	also	ADV
ejpam-5733	427	2	,	,	PUNCT
ejpam-5733	427	3	we	we	PRON
ejpam-5733	427	4	have	have	AUX
ejpam-5733	427	5	shown	show	VERB
ejpam-5733	427	6	that	that	DET
ejpam-5733	427	7	fuzzy	fuzzy	ADJ
ejpam-5733	427	8	soft	soft	ADJ
ejpam-5733	427	9	continuity	continuity	NOUN
ejpam-5733	427	10	⇒	⇒	NOUN
ejpam-5733	427	11	fuzzy	fuzzy	ADJ
ejpam-5733	427	12	soft	soft	ADJ
ejpam-5733	427	13	almost	almost	ADV
ejpam-5733	427	14	continuity	continuity	NOUN
ejpam-5733	427	15	⇒	⇒	NOUN
ejpam-5733	427	16	fuzzy	fuzzy	ADJ
ejpam-5733	427	17	soft	soft	ADJ
ejpam-5733	427	18	weakly	weakly	ADJ
ejpam-5733	427	19	continuity	continuity	NOUN
ejpam-5733	427	20	.	.	PUNCT
ejpam-5733	428	1	moreover	moreover	ADV
ejpam-5733	428	2	,	,	PUNCT
ejpam-5733	428	3	we	we	PRON
ejpam-5733	428	4	have	have	AUX
ejpam-5733	428	5	explored	explore	VERB
ejpam-5733	428	6	the	the	DET
ejpam-5733	428	7	notion	notion	NOUN
ejpam-5733	428	8	of	of	ADP
ejpam-5733	428	9	continuity	continuity	NOUN
ejpam-5733	428	10	in	in	ADP
ejpam-5733	428	11	a	a	DET
ejpam-5733	428	12	very	very	ADV
ejpam-5733	428	13	general	general	ADJ
ejpam-5733	428	14	setting	set	VERB
ejpam-5733	428	15	namely	namely	ADV
ejpam-5733	428	16	fuzzy	fuzzy	ADJ
ejpam-5733	428	17	soft	soft	ADJ
ejpam-5733	428	18	(	(	PUNCT
ejpam-5733	428	19	l	l	NOUN
ejpam-5733	428	20	,	,	PUNCT
ejpam-5733	428	21	m	m	PROPN
ejpam-5733	428	22	,	,	PUNCT
ejpam-5733	428	23	n	n	CCONJ
ejpam-5733	428	24	,	,	PUNCT
ejpam-5733	428	25	o)-continuous	o)-continuous	ADJ
ejpam-5733	428	26	functions	function	NOUN
ejpam-5733	428	27	.	.	PUNCT
ejpam-5733	429	1	it	it	PRON
ejpam-5733	429	2	is	be	AUX
ejpam-5733	429	3	also	also	ADV
ejpam-5733	429	4	we	we	PRON
ejpam-5733	429	5	have	have	VERB
ejpam-5733	429	6	the	the	DET
ejpam-5733	429	7	following	follow	VERB
ejpam-5733	429	8	results	result	NOUN
ejpam-5733	429	9	:	:	PUNCT
ejpam-5733	429	10	i.	i.	PROPN
ejpam-5733	429	11	alshammari	alshammari	PROPN
ejpam-5733	429	12	et	et	PROPN
ejpam-5733	429	13	al	al	PROPN
ejpam-5733	429	14	.	.	PUNCT
ejpam-5733	429	15	/	/	SYM
ejpam-5733	429	16	eur	eur	PROPN
ejpam-5733	429	17	.	.	PUNCT
ejpam-5733	430	1	j.	j.	PROPN
ejpam-5733	430	2	pure	pure	PROPN
ejpam-5733	430	3	appl	appl	PROPN
ejpam-5733	430	4	.	.	PROPN
ejpam-5733	430	5	math	math	PROPN
ejpam-5733	430	6	,	,	PUNCT
ejpam-5733	430	7	18	18	NUM
ejpam-5733	430	8	(	(	PUNCT
ejpam-5733	430	9	1	1	NUM
ejpam-5733	430	10	)	)	PUNCT
ejpam-5733	430	11	(	(	PUNCT
ejpam-5733	430	12	2025	2025	NUM
ejpam-5733	430	13	)	)	PUNCT
ejpam-5733	430	14	,	,	PUNCT
ejpam-5733	430	15	5733	5733	NUM
ejpam-5733	430	16	19	19	NUM
ejpam-5733	430	17	of	of	ADP
ejpam-5733	430	18	21	21	NUM
ejpam-5733	430	19	•	•	NUM
ejpam-5733	430	20	fuzzy	fuzzy	ADJ
ejpam-5733	430	21	soft	soft	ADJ
ejpam-5733	430	22	(	(	PUNCT
ejpam-5733	430	23	idu	idu	NOUN
ejpam-5733	430	24	,	,	PUNCT
ejpam-5733	430	25	iτ	iτ	INTJ
ejpam-5733	430	26	,	,	PUNCT
ejpam-5733	430	27	idv	idv	PROPN
ejpam-5733	430	28	,	,	PUNCT
ejpam-5733	430	29	idv	idv	PROPN
ejpam-5733	430	30	)	)	PUNCT
ejpam-5733	430	31	-continuous	-continuous	ADJ
ejpam-5733	430	32	function	function	NOUN
ejpam-5733	430	33	is	be	AUX
ejpam-5733	430	34	a	a	DET
ejpam-5733	430	35	fuzzy	fuzzy	ADJ
ejpam-5733	430	36	soft	soft	ADJ
ejpam-5733	430	37	continuous	continuous	ADJ
ejpam-5733	430	38	function	function	NOUN
ejpam-5733	430	39	[	[	X
ejpam-5733	430	40	20	20	NUM
ejpam-5733	430	41	]	]	PUNCT
ejpam-5733	430	42	.	.	PUNCT
ejpam-5733	431	1	•	•	NUM
ejpam-5733	431	2	fuzzy	fuzzy	ADJ
ejpam-5733	431	3	soft	soft	ADJ
ejpam-5733	431	4	(	(	PUNCT
ejpam-5733	431	5	iτ	iτ	X
ejpam-5733	431	6	(	(	PUNCT
ejpam-5733	431	7	cτ	cτ	PROPN
ejpam-5733	431	8	)	)	PUNCT
ejpam-5733	431	9	,	,	PUNCT
ejpam-5733	431	10	cτ	cτ	INTJ
ejpam-5733	431	11	(	(	PUNCT
ejpam-5733	431	12	iτ	iτ	INTJ
ejpam-5733	431	13	)	)	PUNCT
ejpam-5733	431	14	,	,	PUNCT
ejpam-5733	431	15	idv	idv	PROPN
ejpam-5733	431	16	,	,	PUNCT
ejpam-5733	431	17	idv	idv	PROPN
ejpam-5733	431	18	)	)	PUNCT
ejpam-5733	431	19	-continuous	-continuous	ADJ
ejpam-5733	431	20	function	function	NOUN
ejpam-5733	431	21	is	be	AUX
ejpam-5733	431	22	a	a	DET
ejpam-5733	431	23	fuzzy	fuzzy	ADJ
ejpam-5733	431	24	soft	soft	ADJ
ejpam-5733	431	25	δ	δ	NOUN
ejpam-5733	431	26	-	-	ADJ
ejpam-5733	431	27	continuous	continuous	ADJ
ejpam-5733	431	28	function	function	NOUN
ejpam-5733	431	29	.	.	PUNCT
ejpam-5733	432	1	•	•	NUM
ejpam-5733	432	2	fuzzy	fuzzy	ADJ
ejpam-5733	432	3	soft	soft	ADJ
ejpam-5733	432	4	(	(	PUNCT
ejpam-5733	432	5	idu	idu	ADV
ejpam-5733	432	6	,	,	PUNCT
ejpam-5733	432	7	cτ	cτ	INTJ
ejpam-5733	432	8	(	(	PUNCT
ejpam-5733	432	9	iτ	iτ	X
ejpam-5733	432	10	(	(	PUNCT
ejpam-5733	432	11	cτ	cτ	INTJ
ejpam-5733	432	12	)	)	PUNCT
ejpam-5733	432	13	)	)	PUNCT
ejpam-5733	432	14	,	,	PUNCT
ejpam-5733	432	15	idv	idv	PROPN
ejpam-5733	432	16	,	,	PUNCT
ejpam-5733	432	17	idv	idv	PROPN
ejpam-5733	432	18	)	)	PUNCT
ejpam-5733	432	19	-continuous	-continuous	ADJ
ejpam-5733	432	20	function	function	NOUN
ejpam-5733	432	21	is	be	AUX
ejpam-5733	432	22	a	a	DET
ejpam-5733	432	23	fuzzy	fuzzy	ADJ
ejpam-5733	432	24	soft	soft	ADJ
ejpam-5733	432	25	β	β	ADJ
ejpam-5733	432	26	-	-	ADJ
ejpam-5733	432	27	continuous	continuous	ADJ
ejpam-5733	432	28	function	function	NOUN
ejpam-5733	432	29	.	.	PUNCT
ejpam-5733	433	1	•	•	NUM
ejpam-5733	433	2	fuzzy	fuzzy	ADJ
ejpam-5733	433	3	soft	soft	ADJ
ejpam-5733	433	4	(	(	PUNCT
ejpam-5733	433	5	idu	idu	ADV
ejpam-5733	433	6	,	,	PUNCT
ejpam-5733	433	7	cτ	cτ	INTJ
ejpam-5733	433	8	(	(	PUNCT
ejpam-5733	433	9	iτ	iτ	INTJ
ejpam-5733	433	10	)	)	PUNCT
ejpam-5733	433	11	,	,	PUNCT
ejpam-5733	433	12	idv	idv	PROPN
ejpam-5733	433	13	,	,	PUNCT
ejpam-5733	433	14	idv	idv	PROPN
ejpam-5733	433	15	)	)	PUNCT
ejpam-5733	433	16	-continuous	-continuous	ADJ
ejpam-5733	433	17	function	function	NOUN
ejpam-5733	433	18	is	be	AUX
ejpam-5733	433	19	a	a	DET
ejpam-5733	433	20	fuzzy	fuzzy	ADJ
ejpam-5733	433	21	soft	soft	ADJ
ejpam-5733	433	22	semi	semi	ADJ
ejpam-5733	433	23	-	-	ADJ
ejpam-5733	433	24	continuous	continuous	ADJ
ejpam-5733	433	25	function	function	NOUN
ejpam-5733	433	26	.	.	PUNCT
ejpam-5733	434	1	•	•	NUM
ejpam-5733	434	2	fuzzy	fuzzy	ADJ
ejpam-5733	434	3	soft	soft	ADJ
ejpam-5733	434	4	(	(	PUNCT
ejpam-5733	434	5	idu	idu	NOUN
ejpam-5733	434	6	,	,	PUNCT
ejpam-5733	434	7	iτ	iτ	INTJ
ejpam-5733	434	8	(	(	PUNCT
ejpam-5733	434	9	cτ	cτ	PROPN
ejpam-5733	434	10	)	)	PUNCT
ejpam-5733	434	11	,	,	PUNCT
ejpam-5733	434	12	idv	idv	PROPN
ejpam-5733	434	13	,	,	PUNCT
ejpam-5733	434	14	idv	idv	PROPN
ejpam-5733	434	15	)	)	PUNCT
ejpam-5733	434	16	-continuous	-continuous	ADJ
ejpam-5733	434	17	function	function	NOUN
ejpam-5733	434	18	is	be	AUX
ejpam-5733	434	19	a	a	DET
ejpam-5733	434	20	fuzzy	fuzzy	ADJ
ejpam-5733	434	21	soft	soft	ADJ
ejpam-5733	434	22	pre	pre	ADJ
ejpam-5733	434	23	-	-	ADJ
ejpam-5733	434	24	continuous	continuous	ADJ
ejpam-5733	434	25	function	function	NOUN
ejpam-5733	434	26	.	.	PUNCT
ejpam-5733	435	1	•	•	NUM
ejpam-5733	435	2	fuzzy	fuzzy	ADJ
ejpam-5733	435	3	soft	soft	ADJ
ejpam-5733	435	4	(	(	PUNCT
ejpam-5733	435	5	idu	idu	NOUN
ejpam-5733	435	6	,	,	PUNCT
ejpam-5733	435	7	iτ	iτ	INTJ
ejpam-5733	435	8	(	(	PUNCT
ejpam-5733	435	9	cτ	cτ	INTJ
ejpam-5733	435	10	(	(	PUNCT
ejpam-5733	435	11	iτ	iτ	NOUN
ejpam-5733	435	12	)	)	PUNCT
ejpam-5733	435	13	)	)	PUNCT
ejpam-5733	435	14	,	,	PUNCT
ejpam-5733	435	15	idv	idv	PROPN
ejpam-5733	435	16	,	,	PUNCT
ejpam-5733	435	17	idv	idv	PROPN
ejpam-5733	435	18	)	)	PUNCT
ejpam-5733	435	19	)	)	PUNCT
ejpam-5733	436	1	-continuous	-continuous	ADJ
ejpam-5733	436	2	function	function	NOUN
ejpam-5733	436	3	is	be	AUX
ejpam-5733	436	4	a	a	DET
ejpam-5733	436	5	fuzzy	fuzzy	ADJ
ejpam-5733	436	6	soft	soft	ADJ
ejpam-5733	436	7	α	α	NOUN
ejpam-5733	436	8	-	-	ADJ
ejpam-5733	436	9	continuous	continuous	ADJ
ejpam-5733	436	10	function	function	NOUN
ejpam-5733	436	11	.	.	PUNCT
ejpam-5733	437	1	•	•	NUM
ejpam-5733	437	2	fuzzy	fuzzy	ADJ
ejpam-5733	437	3	soft	soft	ADJ
ejpam-5733	437	4	(	(	PUNCT
ejpam-5733	437	5	idu	idu	NOUN
ejpam-5733	437	6	,	,	PUNCT
ejpam-5733	437	7	iτ	iτ	INTJ
ejpam-5733	437	8	,	,	PUNCT
ejpam-5733	437	9	iτ∗(cτ∗	iτ∗(cτ∗	ADJ
ejpam-5733	437	10	)	)	PUNCT
ejpam-5733	437	11	,	,	PUNCT
ejpam-5733	437	12	idv	idv	PROPN
ejpam-5733	437	13	)	)	PUNCT
ejpam-5733	437	14	-continuous	-continuous	ADJ
ejpam-5733	437	15	function	function	NOUN
ejpam-5733	437	16	is	be	AUX
ejpam-5733	437	17	a	a	DET
ejpam-5733	437	18	fuzzy	fuzzy	ADJ
ejpam-5733	437	19	soft	soft	ADJ
ejpam-5733	437	20	almost	almost	ADV
ejpam-5733	437	21	continuous	continuous	ADJ
ejpam-5733	437	22	function	function	NOUN
ejpam-5733	437	23	.	.	PUNCT
ejpam-5733	438	1	•	•	NUM
ejpam-5733	438	2	fuzzy	fuzzy	ADJ
ejpam-5733	438	3	soft	soft	ADJ
ejpam-5733	438	4	(	(	PUNCT
ejpam-5733	438	5	idu	idu	NOUN
ejpam-5733	438	6	,	,	PUNCT
ejpam-5733	438	7	iτ	iτ	INTJ
ejpam-5733	438	8	,	,	PUNCT
ejpam-5733	438	9	cτ∗	cτ∗	ADJ
ejpam-5733	438	10	,	,	PUNCT
ejpam-5733	438	11	idv	idv	NOUN
ejpam-5733	438	12	)	)	PUNCT
ejpam-5733	438	13	-continuous	-continuous	ADJ
ejpam-5733	438	14	function	function	NOUN
ejpam-5733	438	15	is	be	AUX
ejpam-5733	438	16	a	a	DET
ejpam-5733	438	17	fuzzy	fuzzy	ADJ
ejpam-5733	438	18	soft	soft	ADJ
ejpam-5733	438	19	weakly	weakly	ADJ
ejpam-5733	438	20	continuous	continuous	ADJ
ejpam-5733	438	21	function	function	NOUN
ejpam-5733	438	22	.	.	PUNCT
ejpam-5733	439	1	in	in	ADP
ejpam-5733	439	2	upcoming	upcoming	ADJ
ejpam-5733	439	3	papers	paper	NOUN
ejpam-5733	439	4	,	,	PUNCT
ejpam-5733	439	5	we	we	PRON
ejpam-5733	439	6	will	will	AUX
ejpam-5733	439	7	use	use	VERB
ejpam-5733	439	8	r	r	NOUN
ejpam-5733	439	9	-	-	PUNCT
ejpam-5733	439	10	fuzzy	fuzzy	ADJ
ejpam-5733	439	11	soft	soft	ADJ
ejpam-5733	439	12	δ	δ	NOUN
ejpam-5733	439	13	-	-	ADJ
ejpam-5733	439	14	open	open	ADJ
ejpam-5733	439	15	sets	set	NOUN
ejpam-5733	439	16	to	to	PART
ejpam-5733	439	17	define	define	VERB
ejpam-5733	439	18	and	and	CCONJ
ejpam-5733	439	19	study	study	VERB
ejpam-5733	439	20	some	some	DET
ejpam-5733	439	21	new	new	ADJ
ejpam-5733	439	22	higher	high	ADJ
ejpam-5733	439	23	separation	separation	NOUN
ejpam-5733	439	24	axioms	axiom	NOUN
ejpam-5733	439	25	and	and	CCONJ
ejpam-5733	439	26	to	to	PART
ejpam-5733	439	27	introduce	introduce	VERB
ejpam-5733	439	28	the	the	DET
ejpam-5733	439	29	concept	concept	NOUN
ejpam-5733	439	30	of	of	ADP
ejpam-5733	439	31	δ	δ	PROPN
ejpam-5733	439	32	-	-	ADJ
ejpam-5733	439	33	compact	compact	ADJ
ejpam-5733	439	34	spaces	space	NOUN
ejpam-5733	439	35	in	in	ADP
ejpam-5733	439	36	an	an	DET
ejpam-5733	439	37	fstss	fstss	NOUN
ejpam-5733	439	38	based	base	VERB
ejpam-5733	439	39	on	on	ADP
ejpam-5733	439	40	the	the	DET
ejpam-5733	439	41	paper	paper	NOUN
ejpam-5733	439	42	by	by	ADP
ejpam-5733	439	43	aygünoǧlu	aygünoǧlu	PROPN
ejpam-5733	439	44	et	et	PROPN
ejpam-5733	439	45	al	al	PROPN
ejpam-5733	439	46	.	.	PUNCT
ejpam-5733	440	1	[	[	X
ejpam-5733	440	2	20	20	NUM
ejpam-5733	440	3	]	]	PUNCT
ejpam-5733	440	4	also	also	ADV
ejpam-5733	440	5	,	,	PUNCT
ejpam-5733	440	6	introducing	introduce	VERB
ejpam-5733	440	7	these	these	DET
ejpam-5733	440	8	novel	novel	ADJ
ejpam-5733	440	9	notions	notion	NOUN
ejpam-5733	440	10	given	give	VERB
ejpam-5733	440	11	here	here	ADV
ejpam-5733	440	12	in	in	ADP
ejpam-5733	440	13	the	the	DET
ejpam-5733	440	14	frame	frame	NOUN
ejpam-5733	440	15	of	of	ADP
ejpam-5733	440	16	fuzzy	fuzzy	ADJ
ejpam-5733	440	17	soft	soft	ADJ
ejpam-5733	440	18	ideals	ideal	NOUN
ejpam-5733	440	19	as	as	SCONJ
ejpam-5733	440	20	defined	define	VERB
ejpam-5733	440	21	in	in	ADP
ejpam-5733	440	22	[	[	X
ejpam-5733	440	23	34	34	NUM
ejpam-5733	440	24	,	,	PUNCT
ejpam-5733	440	25	35	35	NUM
ejpam-5733	440	26	,	,	PUNCT
ejpam-5733	440	27	37	37	NUM
ejpam-5733	440	28	]	]	PUNCT
ejpam-5733	440	29	.	.	PUNCT
ejpam-5733	441	1	acknowledgements	acknowledgement	NOUN
ejpam-5733	441	2	we	we	PRON
ejpam-5733	441	3	would	would	AUX
ejpam-5733	441	4	like	like	VERB
ejpam-5733	441	5	to	to	PART
ejpam-5733	441	6	thank	thank	VERB
ejpam-5733	441	7	the	the	DET
ejpam-5733	441	8	reviewers	reviewer	NOUN
ejpam-5733	441	9	and	and	CCONJ
ejpam-5733	441	10	editors	editor	NOUN
ejpam-5733	441	11	whose	whose	DET
ejpam-5733	441	12	constructive	constructive	ADJ
ejpam-5733	441	13	comments	comment	NOUN
ejpam-5733	441	14	and	and	CCONJ
ejpam-5733	441	15	suggestions	suggestion	NOUN
ejpam-5733	441	16	helped	help	VERB
ejpam-5733	441	17	improve	improve	VERB
ejpam-5733	441	18	this	this	DET
ejpam-5733	441	19	paper	paper	NOUN
ejpam-5733	441	20	.	.	PUNCT
ejpam-5733	442	1	references	reference	NOUN
ejpam-5733	442	2	[	[	X
ejpam-5733	442	3	1	1	NUM
ejpam-5733	442	4	]	]	PUNCT
ejpam-5733	442	5	b.	b.	PROPN
ejpam-5733	442	6	ahmad	ahmad	PROPN
ejpam-5733	442	7	and	and	CCONJ
ejpam-5733	442	8	a.	a.	PROPN
ejpam-5733	442	9	kharal	kharal	PROPN
ejpam-5733	442	10	.	.	PUNCT
ejpam-5733	443	1	on	on	ADP
ejpam-5733	443	2	fuzzy	fuzzy	ADJ
ejpam-5733	443	3	soft	soft	ADJ
ejpam-5733	443	4	sets	set	NOUN
ejpam-5733	443	5	.	.	PUNCT
ejpam-5733	444	1	adv	adv	PROPN
ejpam-5733	444	2	.	.	PUNCT
ejpam-5733	444	3	fuzzy	fuzzy	ADJ
ejpam-5733	444	4	syst	syst	PROPN
ejpam-5733	444	5	.	.	PUNCT
ejpam-5733	444	6	,	,	PUNCT
ejpam-5733	444	7	page	page	NOUN
ejpam-5733	444	8	586507	586507	NUM
ejpam-5733	444	9	,	,	PUNCT
ejpam-5733	444	10	2009	2009	NUM
ejpam-5733	444	11	.	.	PUNCT
ejpam-5733	445	1	[	[	X
ejpam-5733	445	2	2	2	NUM
ejpam-5733	445	3	]	]	PUNCT
ejpam-5733	445	4	m.	m.	NOUN
ejpam-5733	445	5	akdag	akdag	PROPN
ejpam-5733	445	6	and	and	CCONJ
ejpam-5733	445	7	a.	a.	NOUN
ejpam-5733	445	8	ozkan	ozkan	PROPN
ejpam-5733	445	9	.	.	PUNCT
ejpam-5733	446	1	on	on	ADP
ejpam-5733	446	2	soft	soft	ADJ
ejpam-5733	446	3	β	β	ADJ
ejpam-5733	446	4	-	-	ADJ
ejpam-5733	446	5	open	open	ADJ
ejpam-5733	446	6	sets	set	NOUN
ejpam-5733	446	7	and	and	CCONJ
ejpam-5733	446	8	soft	soft	ADJ
ejpam-5733	446	9	β	β	ADJ
ejpam-5733	446	10	-	-	ADJ
ejpam-5733	446	11	continuous	continuous	ADJ
ejpam-5733	446	12	functions	function	NOUN
ejpam-5733	446	13	.	.	PUNCT
ejpam-5733	447	1	sci	sci	PROPN
ejpam-5733	447	2	.	.	PROPN
ejpam-5733	447	3	world	world	PROPN
ejpam-5733	447	4	j.	j.	PROPN
ejpam-5733	447	5	,	,	PUNCT
ejpam-5733	447	6	page	page	NOUN
ejpam-5733	447	7	843456	843456	NUM
ejpam-5733	447	8	,	,	PUNCT
ejpam-5733	447	9	2014	2014	NUM
ejpam-5733	447	10	.	.	PUNCT
ejpam-5733	448	1	[	[	X
ejpam-5733	448	2	3	3	X
ejpam-5733	448	3	]	]	X
ejpam-5733	448	4	m.	m.	NOUN
ejpam-5733	448	5	akdag	akdag	PROPN
ejpam-5733	448	6	and	and	CCONJ
ejpam-5733	448	7	a.	a.	NOUN
ejpam-5733	448	8	ozkan	ozkan	PROPN
ejpam-5733	448	9	.	.	PUNCT
ejpam-5733	449	1	soft	soft	ADJ
ejpam-5733	449	2	α	α	NOUN
ejpam-5733	449	3	-	-	ADJ
ejpam-5733	449	4	open	open	ADJ
ejpam-5733	449	5	sets	set	NOUN
ejpam-5733	449	6	and	and	CCONJ
ejpam-5733	449	7	soft	soft	ADJ
ejpam-5733	449	8	α	α	PRON
ejpam-5733	449	9	-	-	ADJ
ejpam-5733	449	10	continuous	continuous	ADJ
ejpam-5733	449	11	functions	function	NOUN
ejpam-5733	449	12	.	.	PUNCT
ejpam-5733	450	1	abst	abst	PROPN
ejpam-5733	450	2	.	.	PROPN
ejpam-5733	450	3	appl	appl	PROPN
ejpam-5733	450	4	.	.	PUNCT
ejpam-5733	451	1	anal	anal	PROPN
ejpam-5733	451	2	.	.	PUNCT
ejpam-5733	451	3	,	,	PUNCT
ejpam-5733	451	4	page	page	NOUN
ejpam-5733	451	5	891341	891341	NUM
ejpam-5733	451	6	,	,	PUNCT
ejpam-5733	451	7	2014	2014	NUM
ejpam-5733	451	8	.	.	PUNCT
ejpam-5733	452	1	i.	i.	PROPN
ejpam-5733	452	2	alshammari	alshammari	PROPN
ejpam-5733	452	3	et	et	PROPN
ejpam-5733	452	4	al	al	PROPN
ejpam-5733	452	5	.	.	PUNCT
ejpam-5733	452	6	/	/	SYM
ejpam-5733	452	7	eur	eur	PROPN
ejpam-5733	452	8	.	.	PUNCT
ejpam-5733	453	1	j.	j.	PROPN
ejpam-5733	453	2	pure	pure	PROPN
ejpam-5733	453	3	appl	appl	PROPN
ejpam-5733	453	4	.	.	PROPN
ejpam-5733	453	5	math	math	PROPN
ejpam-5733	453	6	,	,	PUNCT
ejpam-5733	453	7	18	18	NUM
ejpam-5733	453	8	(	(	PUNCT
ejpam-5733	453	9	1	1	NUM
ejpam-5733	453	10	)	)	PUNCT
ejpam-5733	453	11	(	(	PUNCT
ejpam-5733	453	12	2025	2025	NUM
ejpam-5733	453	13	)	)	PUNCT
ejpam-5733	453	14	,	,	PUNCT
ejpam-5733	453	15	5733	5733	NUM
ejpam-5733	453	16	20	20	NUM
ejpam-5733	453	17	of	of	ADP
ejpam-5733	453	18	21	21	NUM
ejpam-5733	454	1	[	[	SYM
ejpam-5733	454	2	4	4	NUM
ejpam-5733	454	3	]	]	PUNCT
ejpam-5733	454	4	t.	t.	PROPN
ejpam-5733	454	5	m.	m.	PROPN
ejpam-5733	454	6	al	al	PROPN
ejpam-5733	454	7	-	-	PUNCT
ejpam-5733	454	8	shami	shami	PROPN
ejpam-5733	454	9	,	,	PUNCT
ejpam-5733	454	10	m.	m.	NOUN
ejpam-5733	454	11	arar	arar	PROPN
ejpam-5733	454	12	,	,	PUNCT
ejpam-5733	455	1	r.	r.	PROPN
ejpam-5733	455	2	abu	abu	PROPN
ejpam-5733	455	3	-	-	PUNCT
ejpam-5733	455	4	gdairi	gdairi	PROPN
ejpam-5733	455	5	,	,	PUNCT
ejpam-5733	455	6	and	and	CCONJ
ejpam-5733	455	7	z.	z.	PROPN
ejpam-5733	455	8	a.	a.	PROPN
ejpam-5733	455	9	ameen	ameen	PROPN
ejpam-5733	456	1	.	.	PUNCT
ejpam-5733	457	1	on	on	ADP
ejpam-5733	457	2	weakly	weakly	ADJ
ejpam-5733	457	3	soft	soft	ADJ
ejpam-5733	457	4	β	β	NOUN
ejpam-5733	457	5	-	-	ADJ
ejpam-5733	457	6	open	open	ADJ
ejpam-5733	457	7	sets	set	NOUN
ejpam-5733	457	8	and	and	CCONJ
ejpam-5733	457	9	weakly	weakly	ADJ
ejpam-5733	457	10	soft	soft	ADJ
ejpam-5733	457	11	β	β	NOUN
ejpam-5733	457	12	-	-	NOUN
ejpam-5733	457	13	continuity	continuity	NOUN
ejpam-5733	457	14	.	.	PUNCT
ejpam-5733	458	1	j.	j.	PROPN
ejpam-5733	458	2	inte	inte	PROPN
ejpam-5733	458	3	.	.	PUNCT
ejpam-5733	459	1	fuzzy	fuzzy	ADJ
ejpam-5733	459	2	syst	syst	PROPN
ejpam-5733	459	3	.	.	PUNCT
ejpam-5733	459	4	,	,	PUNCT
ejpam-5733	459	5	45:6351–6363	45:6351–6363	NUM
ejpam-5733	459	6	,	,	PUNCT
ejpam-5733	459	7	2023	2023	NUM
ejpam-5733	459	8	.	.	PUNCT
ejpam-5733	460	1	[	[	X
ejpam-5733	460	2	5	5	X
ejpam-5733	460	3	]	]	PUNCT
ejpam-5733	460	4	t.	t.	PROPN
ejpam-5733	460	5	m.	m.	PROPN
ejpam-5733	460	6	al	al	PROPN
ejpam-5733	460	7	-	-	PUNCT
ejpam-5733	460	8	shami	shami	PROPN
ejpam-5733	460	9	,	,	PUNCT
ejpam-5733	460	10	s.	s.	PROPN
ejpam-5733	460	11	saleh	saleh	PROPN
ejpam-5733	460	12	,	,	PUNCT
ejpam-5733	460	13	a.	a.	PROPN
ejpam-5733	460	14	m.	m.	PROPN
ejpam-5733	460	15	abd	abd	PROPN
ejpam-5733	460	16	el	el	PROPN
ejpam-5733	460	17	-	-	PROPN
ejpam-5733	460	18	latif	latif	PROPN
ejpam-5733	460	19	,	,	PUNCT
ejpam-5733	460	20	and	and	CCONJ
ejpam-5733	460	21	a.	a.	NOUN
ejpam-5733	460	22	mhemdi	mhemdi	PROPN
ejpam-5733	460	23	.	.	PUNCT
ejpam-5733	461	1	novel	novel	ADJ
ejpam-5733	461	2	categories	category	NOUN
ejpam-5733	461	3	of	of	ADP
ejpam-5733	461	4	spaces	space	NOUN
ejpam-5733	461	5	in	in	ADP
ejpam-5733	461	6	the	the	DET
ejpam-5733	461	7	frame	frame	NOUN
ejpam-5733	461	8	of	of	ADP
ejpam-5733	461	9	fuzzy	fuzzy	ADJ
ejpam-5733	461	10	soft	soft	ADJ
ejpam-5733	461	11	topologies	topology	NOUN
ejpam-5733	461	12	.	.	PUNCT
ejpam-5733	462	1	aims	aim	VERB
ejpam-5733	462	2	mathematics	mathematic	NOUN
ejpam-5733	462	3	,	,	PUNCT
ejpam-5733	462	4	9(3):6305–6320	9(3):6305–6320	NUM
ejpam-5733	462	5	,	,	PUNCT
ejpam-5733	462	6	2024	2024	NUM
ejpam-5733	462	7	.	.	PUNCT
ejpam-5733	463	1	[	[	X
ejpam-5733	463	2	6	6	NUM
ejpam-5733	463	3	]	]	PUNCT
ejpam-5733	463	4	j.	j.	PROPN
ejpam-5733	463	5	c.	c.	PROPN
ejpam-5733	463	6	r.	r.	PROPN
ejpam-5733	463	7	alcantud	alcantud	PROPN
ejpam-5733	463	8	.	.	PUNCT
ejpam-5733	464	1	soft	soft	ADJ
ejpam-5733	464	2	open	open	ADJ
ejpam-5733	464	3	bases	basis	NOUN
ejpam-5733	464	4	and	and	CCONJ
ejpam-5733	464	5	a	a	DET
ejpam-5733	464	6	novel	novel	ADJ
ejpam-5733	464	7	construction	construction	NOUN
ejpam-5733	464	8	of	of	ADP
ejpam-5733	464	9	soft	soft	ADJ
ejpam-5733	464	10	topologies	topology	NOUN
ejpam-5733	464	11	from	from	ADP
ejpam-5733	464	12	bases	basis	NOUN
ejpam-5733	464	13	for	for	ADP
ejpam-5733	464	14	topologies	topology	NOUN
ejpam-5733	464	15	.	.	PUNCT
ejpam-5733	465	1	mathematics	mathematic	NOUN
ejpam-5733	465	2	,	,	PUNCT
ejpam-5733	465	3	8:672	8:672	NUM
ejpam-5733	465	4	,	,	PUNCT
ejpam-5733	465	5	2020	2020	NUM
ejpam-5733	465	6	.	.	PUNCT
ejpam-5733	466	1	[	[	X
ejpam-5733	466	2	7	7	X
ejpam-5733	466	3	]	]	X
ejpam-5733	466	4	m.	m.	NOUN
ejpam-5733	466	5	i.	i.	PROPN
ejpam-5733	466	6	ali	ali	PROPN
ejpam-5733	466	7	,	,	PUNCT
ejpam-5733	466	8	m.	m.	PROPN
ejpam-5733	466	9	k.	k.	PROPN
ejpam-5733	466	10	el	el	PROPN
ejpam-5733	466	11	-	-	PROPN
ejpam-5733	466	12	bably	bably	ADV
ejpam-5733	466	13	,	,	PUNCT
ejpam-5733	466	14	and	and	CCONJ
ejpam-5733	466	15	e.	e.	PROPN
ejpam-5733	466	16	a.	a.	PROPN
ejpam-5733	466	17	abo	abo	PROPN
ejpam-5733	466	18	-	-	PUNCT
ejpam-5733	466	19	tabl	tabl	NOUN
ejpam-5733	466	20	.	.	PUNCT
ejpam-5733	467	1	topological	topological	ADJ
ejpam-5733	467	2	approach	approach	NOUN
ejpam-5733	467	3	to	to	ADP
ejpam-5733	467	4	generalized	generalize	VERB
ejpam-5733	467	5	soft	soft	ADJ
ejpam-5733	467	6	rough	rough	ADJ
ejpam-5733	467	7	sets	set	NOUN
ejpam-5733	467	8	via	via	ADP
ejpam-5733	467	9	near	near	ADJ
ejpam-5733	467	10	concepts	concept	NOUN
ejpam-5733	467	11	.	.	PUNCT
ejpam-5733	468	1	soft	soft	ADJ
ejpam-5733	468	2	computing	computing	NOUN
ejpam-5733	468	3	,	,	PUNCT
ejpam-5733	468	4	26:499–509	26:499–509	NOUN
ejpam-5733	468	5	,	,	PUNCT
ejpam-5733	468	6	2022	2022	NUM
ejpam-5733	468	7	.	.	PUNCT
ejpam-5733	469	1	[	[	X
ejpam-5733	469	2	8	8	NUM
ejpam-5733	469	3	]	]	X
ejpam-5733	469	4	w.	w.	PROPN
ejpam-5733	469	5	alqurashi	alqurashi	PROPN
ejpam-5733	469	6	and	and	CCONJ
ejpam-5733	469	7	i.	i.	PROPN
ejpam-5733	469	8	m.	m.	PROPN
ejpam-5733	469	9	taha	taha	PROPN
ejpam-5733	469	10	.	.	PUNCT
ejpam-5733	470	1	on	on	ADP
ejpam-5733	470	2	fuzzy	fuzzy	ADJ
ejpam-5733	470	3	soft	soft	ADJ
ejpam-5733	470	4	α	α	NOUN
ejpam-5733	470	5	-	-	ADJ
ejpam-5733	470	6	open	open	ADJ
ejpam-5733	470	7	sets	set	NOUN
ejpam-5733	470	8	,	,	PUNCT
ejpam-5733	470	9	α	α	NOUN
ejpam-5733	470	10	-	-	NOUN
ejpam-5733	470	11	continuity	continuity	NOUN
ejpam-5733	470	12	,	,	PUNCT
ejpam-5733	470	13	and	and	CCONJ
ejpam-5733	470	14	αcompactness	αcompactness	NOUN
ejpam-5733	470	15	:	:	PUNCT
ejpam-5733	470	16	some	some	DET
ejpam-5733	470	17	novel	novel	ADJ
ejpam-5733	470	18	results	result	NOUN
ejpam-5733	470	19	.	.	PUNCT
ejpam-5733	471	1	eur	eur	PROPN
ejpam-5733	471	2	.	.	PUNCT
ejpam-5733	472	1	j.	j.	PROPN
ejpam-5733	472	2	pure	pure	PROPN
ejpam-5733	472	3	appl	appl	PROPN
ejpam-5733	472	4	.	.	PUNCT
ejpam-5733	472	5	math	math	PROPN
ejpam-5733	472	6	.	.	PUNCT
ejpam-5733	472	7	,	,	PUNCT
ejpam-5733	472	8	17:4112–4134	17:4112–4134	NUM
ejpam-5733	472	9	,	,	PUNCT
ejpam-5733	472	10	2024	2024	NUM
ejpam-5733	472	11	.	.	PUNCT
ejpam-5733	473	1	[	[	X
ejpam-5733	473	2	9	9	NUM
ejpam-5733	473	3	]	]	X
ejpam-5733	473	4	i.	i.	NOUN
ejpam-5733	473	5	alshammari	alshammari	PROPN
ejpam-5733	473	6	and	and	CCONJ
ejpam-5733	473	7	i.	i.	PROPN
ejpam-5733	473	8	m.	m.	PROPN
ejpam-5733	473	9	taha	taha	PROPN
ejpam-5733	473	10	.	.	PUNCT
ejpam-5733	474	1	on	on	ADP
ejpam-5733	474	2	fuzzy	fuzzy	ADJ
ejpam-5733	474	3	soft	soft	ADJ
ejpam-5733	474	4	β	β	NOUN
ejpam-5733	474	5	-	-	NOUN
ejpam-5733	474	6	continuity	continuity	NOUN
ejpam-5733	474	7	and	and	CCONJ
ejpam-5733	474	8	β	β	NOUN
ejpam-5733	474	9	-	-	NOUN
ejpam-5733	474	10	irresoluteness	irresoluteness	NOUN
ejpam-5733	474	11	:	:	PUNCT
ejpam-5733	474	12	some	some	DET
ejpam-5733	474	13	new	new	ADJ
ejpam-5733	474	14	results	result	NOUN
ejpam-5733	474	15	.	.	PUNCT
ejpam-5733	475	1	aims	aim	VERB
ejpam-5733	475	2	mathematics	mathematic	NOUN
ejpam-5733	475	3	,	,	PUNCT
ejpam-5733	475	4	9(5):11304–11319	9(5):11304–11319	PROPN
ejpam-5733	475	5	,	,	PUNCT
ejpam-5733	475	6	2024	2024	NUM
ejpam-5733	475	7	.	.	PUNCT
ejpam-5733	476	1	[	[	X
ejpam-5733	476	2	10	10	NUM
ejpam-5733	476	3	]	]	PUNCT
ejpam-5733	476	4	z.	z.	PROPN
ejpam-5733	476	5	a.	a.	PROPN
ejpam-5733	476	6	ameen	ameen	PROPN
ejpam-5733	476	7	,	,	PUNCT
ejpam-5733	476	8	r.	r.	PROPN
ejpam-5733	476	9	abu	abu	PROPN
ejpam-5733	476	10	-	-	PUNCT
ejpam-5733	476	11	gdairi	gdairi	PROPN
ejpam-5733	476	12	,	,	PUNCT
ejpam-5733	476	13	t.	t.	PROPN
ejpam-5733	476	14	m.	m.	PROPN
ejpam-5733	476	15	al	al	PROPN
ejpam-5733	476	16	-	-	PUNCT
ejpam-5733	476	17	shami	shami	PROPN
ejpam-5733	476	18	,	,	PUNCT
ejpam-5733	476	19	b.	b.	PROPN
ejpam-5733	476	20	a.	a.	PROPN
ejpam-5733	476	21	asaad	asaad	PROPN
ejpam-5733	476	22	,	,	PUNCT
ejpam-5733	476	23	and	and	CCONJ
ejpam-5733	476	24	m.	m.	NOUN
ejpam-5733	476	25	arar	arar	PROPN
ejpam-5733	476	26	.	.	PUNCT
ejpam-5733	477	1	further	further	ADJ
ejpam-5733	477	2	properties	property	NOUN
ejpam-5733	477	3	of	of	ADP
ejpam-5733	477	4	soft	soft	ADJ
ejpam-5733	477	5	somewhere	somewhere	ADV
ejpam-5733	477	6	dense	dense	ADJ
ejpam-5733	477	7	continuous	continuous	ADJ
ejpam-5733	477	8	functions	function	NOUN
ejpam-5733	477	9	and	and	CCONJ
ejpam-5733	477	10	soft	soft	ADJ
ejpam-5733	477	11	baire	baire	NOUN
ejpam-5733	477	12	spaces	space	NOUN
ejpam-5733	477	13	.	.	PUNCT
ejpam-5733	478	1	j.	j.	PROPN
ejpam-5733	478	2	math	math	PROPN
ejpam-5733	478	3	.	.	PUNCT
ejpam-5733	479	1	computer	computer	NOUN
ejpam-5733	479	2	sci	sci	PROPN
ejpam-5733	479	3	.	.	PROPN
ejpam-5733	479	4	,	,	PUNCT
ejpam-5733	479	5	32:54—-63	32:54—-63	NUM
ejpam-5733	479	6	,	,	PUNCT
ejpam-5733	479	7	2024	2024	NUM
ejpam-5733	479	8	.	.	PUNCT
ejpam-5733	480	1	[	[	X
ejpam-5733	480	2	11	11	NUM
ejpam-5733	480	3	]	]	PUNCT
ejpam-5733	480	4	z.	z.	PROPN
ejpam-5733	480	5	a.	a.	PROPN
ejpam-5733	480	6	ameen	ameen	PROPN
ejpam-5733	480	7	,	,	PUNCT
ejpam-5733	480	8	t.	t.	PROPN
ejpam-5733	480	9	m.	m.	PROPN
ejpam-5733	480	10	al	al	PROPN
ejpam-5733	480	11	-	-	PUNCT
ejpam-5733	480	12	shami	shami	PROPN
ejpam-5733	480	13	,	,	PUNCT
ejpam-5733	480	14	r.	r.	PROPN
ejpam-5733	480	15	abu	abu	PROPN
ejpam-5733	480	16	-	-	PUNCT
ejpam-5733	480	17	gdairi	gdairi	PROPN
ejpam-5733	480	18	,	,	PUNCT
ejpam-5733	480	19	and	and	CCONJ
ejpam-5733	480	20	a.	a.	NOUN
ejpam-5733	480	21	mhemdi	mhemdi	PROPN
ejpam-5733	480	22	.	.	PUNCT
ejpam-5733	481	1	the	the	DET
ejpam-5733	481	2	relationship	relationship	NOUN
ejpam-5733	481	3	between	between	ADP
ejpam-5733	481	4	ordinary	ordinary	ADJ
ejpam-5733	481	5	and	and	CCONJ
ejpam-5733	481	6	soft	soft	ADJ
ejpam-5733	481	7	algebras	algebra	NOUN
ejpam-5733	481	8	with	with	ADP
ejpam-5733	481	9	an	an	DET
ejpam-5733	481	10	application	application	NOUN
ejpam-5733	481	11	.	.	PUNCT
ejpam-5733	482	1	mathematics	mathematic	NOUN
ejpam-5733	482	2	,	,	PUNCT
ejpam-5733	482	3	11:2035	11:2035	NUM
ejpam-5733	482	4	,	,	PUNCT
ejpam-5733	482	5	2023	2023	NUM
ejpam-5733	482	6	.	.	PUNCT
ejpam-5733	483	1	[	[	X
ejpam-5733	483	2	12	12	NUM
ejpam-5733	483	3	]	]	X
ejpam-5733	483	4	s.	s.	PROPN
ejpam-5733	483	5	atmaca	atmaca	PROPN
ejpam-5733	483	6	and	and	CCONJ
ejpam-5733	483	7	i.	i.	PROPN
ejpam-5733	483	8	zorlutuna	zorlutuna	PROPN
ejpam-5733	483	9	.	.	PUNCT
ejpam-5733	484	1	on	on	ADP
ejpam-5733	484	2	fuzzy	fuzzy	ADJ
ejpam-5733	484	3	soft	soft	ADJ
ejpam-5733	484	4	topological	topological	ADJ
ejpam-5733	484	5	spaces	space	NOUN
ejpam-5733	484	6	.	.	PUNCT
ejpam-5733	485	1	ann	ann	PROPN
ejpam-5733	485	2	.	.	PUNCT
ejpam-5733	485	3	fuzzy	fuzzy	ADJ
ejpam-5733	485	4	math	math	NOUN
ejpam-5733	485	5	.	.	PUNCT
ejpam-5733	486	1	inform	inform	NOUN
ejpam-5733	486	2	.	.	PUNCT
ejpam-5733	486	3	,	,	PUNCT
ejpam-5733	486	4	5:377–386	5:377–386	NUM
ejpam-5733	486	5	,	,	PUNCT
ejpam-5733	486	6	2013	2013	NUM
ejpam-5733	486	7	.	.	PUNCT
ejpam-5733	487	1	[	[	X
ejpam-5733	487	2	13	13	NUM
ejpam-5733	487	3	]	]	X
ejpam-5733	487	4	n.	n.	PROPN
ejpam-5733	487	5	çaǧman	çaǧman	PROPN
ejpam-5733	487	6	,	,	PUNCT
ejpam-5733	487	7	s.	s.	PROPN
ejpam-5733	487	8	enginoǧlu	enginoǧlu	PROPN
ejpam-5733	487	9	,	,	PUNCT
ejpam-5733	487	10	and	and	CCONJ
ejpam-5733	487	11	f.	f.	PROPN
ejpam-5733	487	12	çitak	çitak	PROPN
ejpam-5733	487	13	.	.	PUNCT
ejpam-5733	488	1	fuzzy	fuzzy	ADJ
ejpam-5733	488	2	soft	soft	ADJ
ejpam-5733	488	3	set	set	NOUN
ejpam-5733	488	4	theory	theory	NOUN
ejpam-5733	488	5	and	and	CCONJ
ejpam-5733	488	6	its	its	PRON
ejpam-5733	488	7	applications	application	NOUN
ejpam-5733	488	8	.	.	PUNCT
ejpam-5733	489	1	iran	iran	PROPN
ejpam-5733	489	2	.	.	PUNCT
ejpam-5733	490	1	j.	j.	PROPN
ejpam-5733	490	2	fuzzy	fuzzy	PROPN
ejpam-5733	490	3	syst	syst	PROPN
ejpam-5733	490	4	.	.	PUNCT
ejpam-5733	490	5	,	,	PUNCT
ejpam-5733	490	6	8:137–147	8:137–147	NUM
ejpam-5733	490	7	,	,	PUNCT
ejpam-5733	490	8	2011	2011	NUM
ejpam-5733	490	9	.	.	PUNCT
ejpam-5733	491	1	[	[	X
ejpam-5733	491	2	14	14	NUM
ejpam-5733	491	3	]	]	X
ejpam-5733	491	4	v.	v.	CCONJ
ejpam-5733	491	5	çetkin	çetkin	PROPN
ejpam-5733	491	6	and	and	CCONJ
ejpam-5733	491	7	h.	h.	PROPN
ejpam-5733	491	8	aygün	aygün	PROPN
ejpam-5733	491	9	.	.	PUNCT
ejpam-5733	492	1	fuzzy	fuzzy	ADJ
ejpam-5733	492	2	soft	soft	ADJ
ejpam-5733	492	3	semiregularization	semiregularization	NOUN
ejpam-5733	492	4	spaces	space	NOUN
ejpam-5733	492	5	.	.	PUNCT
ejpam-5733	493	1	ann	ann	PROPN
ejpam-5733	493	2	.	.	PUNCT
ejpam-5733	493	3	fuzzy	fuzzy	ADJ
ejpam-5733	493	4	math	math	NOUN
ejpam-5733	493	5	.	.	PUNCT
ejpam-5733	494	1	inform	inform	NOUN
ejpam-5733	494	2	.	.	PUNCT
ejpam-5733	494	3	,	,	PUNCT
ejpam-5733	494	4	7:687–697	7:687–697	NOUN
ejpam-5733	494	5	,	,	PUNCT
ejpam-5733	494	6	2014	2014	NUM
ejpam-5733	494	7	.	.	PUNCT
ejpam-5733	495	1	[	[	X
ejpam-5733	495	2	15	15	NUM
ejpam-5733	495	3	]	]	X
ejpam-5733	495	4	v.	v.	PROPN
ejpam-5733	495	5	çetkin	çetkin	PROPN
ejpam-5733	495	6	,	,	PUNCT
ejpam-5733	495	7	a.	a.	NOUN
ejpam-5733	495	8	aygünoǧlu	aygünoǧlu	PROPN
ejpam-5733	495	9	,	,	PUNCT
ejpam-5733	495	10	and	and	CCONJ
ejpam-5733	495	11	h.	h.	PROPN
ejpam-5733	495	12	aygün	aygün	PROPN
ejpam-5733	495	13	.	.	PUNCT
ejpam-5733	496	1	on	on	ADP
ejpam-5733	496	2	soft	soft	ADJ
ejpam-5733	496	3	fuzzy	fuzzy	ADJ
ejpam-5733	496	4	closure	closure	NOUN
ejpam-5733	496	5	and	and	CCONJ
ejpam-5733	496	6	interior	interior	ADJ
ejpam-5733	496	7	operators	operator	NOUN
ejpam-5733	496	8	.	.	PUNCT
ejpam-5733	497	1	util	util	PROPN
ejpam-5733	497	2	.	.	PUNCT
ejpam-5733	498	1	math	math	NOUN
ejpam-5733	498	2	.	.	PUNCT
ejpam-5733	499	1	,	,	PUNCT
ejpam-5733	499	2	99:341–367	99:341–367	PROPN
ejpam-5733	499	3	,	,	PUNCT
ejpam-5733	499	4	2016	2016	NUM
ejpam-5733	499	5	.	.	PUNCT
ejpam-5733	500	1	[	[	X
ejpam-5733	500	2	16	16	NUM
ejpam-5733	500	3	]	]	PUNCT
ejpam-5733	500	4	m.	m.	PROPN
ejpam-5733	500	5	k.	k.	PROPN
ejpam-5733	501	1	el	el	PROPN
ejpam-5733	501	2	-	-	PROPN
ejpam-5733	501	3	bably	bably	ADV
ejpam-5733	501	4	,	,	PUNCT
ejpam-5733	501	5	m.	m.	NOUN
ejpam-5733	501	6	i.	i.	PROPN
ejpam-5733	501	7	ali	ali	PROPN
ejpam-5733	501	8	,	,	PUNCT
ejpam-5733	501	9	and	and	CCONJ
ejpam-5733	501	10	e.	e.	PROPN
ejpam-5733	501	11	a.	a.	PROPN
ejpam-5733	501	12	abo	abo	PROPN
ejpam-5733	501	13	-	-	PUNCT
ejpam-5733	501	14	tabl	tabl	NOUN
ejpam-5733	501	15	.	.	PUNCT
ejpam-5733	502	1	new	new	ADJ
ejpam-5733	502	2	topological	topological	ADJ
ejpam-5733	502	3	approaches	approach	NOUN
ejpam-5733	502	4	to	to	ADP
ejpam-5733	502	5	generalized	generalize	VERB
ejpam-5733	502	6	soft	soft	ADJ
ejpam-5733	502	7	rough	rough	ADJ
ejpam-5733	502	8	approximations	approximation	NOUN
ejpam-5733	502	9	with	with	ADP
ejpam-5733	502	10	medical	medical	ADJ
ejpam-5733	502	11	applications	application	NOUN
ejpam-5733	502	12	.	.	PUNCT
ejpam-5733	503	1	j.	j.	PROPN
ejpam-5733	503	2	math	math	PROPN
ejpam-5733	503	3	.	.	PUNCT
ejpam-5733	503	4	,	,	PUNCT
ejpam-5733	503	5	pages	page	VERB
ejpam-5733	503	6	1–16	1–16	PROPN
ejpam-5733	503	7	,	,	PUNCT
ejpam-5733	503	8	2021	2021	NUM
ejpam-5733	503	9	.	.	PUNCT
ejpam-5733	504	1	[	[	X
ejpam-5733	504	2	17	17	NUM
ejpam-5733	504	3	]	]	PUNCT
ejpam-5733	504	4	m.	m.	NOUN
ejpam-5733	504	5	k.	k.	PROPN
ejpam-5733	505	1	el	el	PROPN
ejpam-5733	505	2	-	-	PROPN
ejpam-5733	505	3	bably	bably	PROPN
ejpam-5733	505	4	and	and	CCONJ
ejpam-5733	505	5	a.	a.	NOUN
ejpam-5733	505	6	a.	a.	PROPN
ejpam-5733	505	7	el	el	PROPN
ejpam-5733	505	8	atik	atik	PROPN
ejpam-5733	505	9	.	.	PUNCT
ejpam-5733	506	1	soft	soft	ADJ
ejpam-5733	506	2	β	β	NOUN
ejpam-5733	506	3	-	-	ADJ
ejpam-5733	506	4	rough	rough	ADJ
ejpam-5733	506	5	sets	set	NOUN
ejpam-5733	506	6	and	and	CCONJ
ejpam-5733	506	7	its	its	PRON
ejpam-5733	506	8	application	application	NOUN
ejpam-5733	506	9	to	to	PART
ejpam-5733	506	10	determine	determine	VERB
ejpam-5733	506	11	covid-19	covid-19	PROPN
ejpam-5733	506	12	.	.	PROPN
ejpam-5733	506	13	turk	turk	PROPN
ejpam-5733	506	14	.	.	PUNCT
ejpam-5733	507	1	j.	j.	PROPN
ejpam-5733	507	2	math	math	PROPN
ejpam-5733	507	3	.	.	PROPN
ejpam-5733	507	4	,	,	PUNCT
ejpam-5733	507	5	45:1133–1148	45:1133–1148	NUM
ejpam-5733	507	6	,	,	PUNCT
ejpam-5733	507	7	2021	2021	NUM
ejpam-5733	507	8	.	.	PUNCT
ejpam-5733	508	1	[	[	X
ejpam-5733	508	2	18	18	NUM
ejpam-5733	508	3	]	]	PUNCT
ejpam-5733	508	4	s.	s.	PROPN
ejpam-5733	508	5	a.	a.	PROPN
ejpam-5733	508	6	el	el	PROPN
ejpam-5733	508	7	-	-	PUNCT
ejpam-5733	508	8	sheikh	sheikh	PROPN
ejpam-5733	508	9	,	,	PUNCT
ejpam-5733	508	10	r.	r.	PROPN
ejpam-5733	508	11	a.	a.	PROPN
ejpam-5733	508	12	hosny	hosny	PROPN
ejpam-5733	508	13	,	,	PUNCT
ejpam-5733	508	14	and	and	CCONJ
ejpam-5733	508	15	a.	a.	NOUN
ejpam-5733	508	16	m.	m.	PROPN
ejpam-5733	508	17	abd	abd	PROPN
ejpam-5733	508	18	el	el	PROPN
ejpam-5733	508	19	-	-	PROPN
ejpam-5733	508	20	latif	latif	PROPN
ejpam-5733	508	21	.	.	PUNCT
ejpam-5733	509	1	characterizations	characterization	NOUN
ejpam-5733	509	2	of	of	ADP
ejpam-5733	509	3	β	β	NOUN
ejpam-5733	509	4	-	-	ADJ
ejpam-5733	509	5	soft	soft	ADJ
ejpam-5733	509	6	separation	separation	NOUN
ejpam-5733	509	7	axioms	axiom	NOUN
ejpam-5733	509	8	in	in	ADP
ejpam-5733	509	9	soft	soft	ADJ
ejpam-5733	509	10	topological	topological	ADJ
ejpam-5733	509	11	spaces	space	NOUN
ejpam-5733	509	12	.	.	PUNCT
ejpam-5733	510	1	inf	inf	PROPN
ejpam-5733	510	2	.	.	PUNCT
ejpam-5733	511	1	sci	sci	PROPN
ejpam-5733	511	2	.	.	PUNCT
ejpam-5733	511	3	lett	lett	PROPN
ejpam-5733	511	4	.	.	PROPN
ejpam-5733	511	5	,	,	PUNCT
ejpam-5733	511	6	4:125–133	4:125–133	NUM
ejpam-5733	511	7	,	,	PUNCT
ejpam-5733	511	8	2015	2015	NUM
ejpam-5733	511	9	.	.	PUNCT
ejpam-5733	512	1	[	[	X
ejpam-5733	512	2	19	19	NUM
ejpam-5733	512	3	]	]	PUNCT
ejpam-5733	512	4	a.	a.	NOUN
ejpam-5733	512	5	aygünoǧlu	aygünoǧlu	PROPN
ejpam-5733	512	6	and	and	CCONJ
ejpam-5733	512	7	h.	h.	PROPN
ejpam-5733	512	8	aygün	aygün	PROPN
ejpam-5733	512	9	.	.	PUNCT
ejpam-5733	513	1	some	some	DET
ejpam-5733	513	2	notes	note	NOUN
ejpam-5733	513	3	on	on	ADP
ejpam-5733	513	4	soft	soft	ADJ
ejpam-5733	513	5	topological	topological	ADJ
ejpam-5733	513	6	spaces	space	NOUN
ejpam-5733	513	7	.	.	PUNCT
ejpam-5733	514	1	neural	neural	ADJ
ejpam-5733	514	2	comput	comput	NOUN
ejpam-5733	514	3	.	.	PUNCT
ejpam-5733	515	1	appl	appl	PROPN
ejpam-5733	515	2	.	.	PROPN
ejpam-5733	515	3	,	,	PUNCT
ejpam-5733	515	4	21:113–119	21:113–119	PROPN
ejpam-5733	515	5	,	,	PUNCT
ejpam-5733	515	6	2012	2012	NUM
ejpam-5733	515	7	.	.	PUNCT
ejpam-5733	516	1	[	[	X
ejpam-5733	516	2	20	20	NUM
ejpam-5733	516	3	]	]	X
ejpam-5733	516	4	a.	a.	NOUN
ejpam-5733	516	5	aygünoǧlu	aygünoǧlu	PROPN
ejpam-5733	516	6	,	,	PUNCT
ejpam-5733	516	7	v.	v.	PROPN
ejpam-5733	516	8	çetkin	çetkin	PROPN
ejpam-5733	516	9	,	,	PUNCT
ejpam-5733	516	10	and	and	CCONJ
ejpam-5733	516	11	h.	h.	PROPN
ejpam-5733	516	12	aygün	aygün	PROPN
ejpam-5733	516	13	.	.	PUNCT
ejpam-5733	517	1	an	an	DET
ejpam-5733	517	2	introduction	introduction	NOUN
ejpam-5733	517	3	to	to	ADP
ejpam-5733	517	4	fuzzy	fuzzy	ADJ
ejpam-5733	517	5	soft	soft	ADJ
ejpam-5733	517	6	topological	topological	ADJ
ejpam-5733	517	7	spaces	space	NOUN
ejpam-5733	517	8	.	.	PUNCT
ejpam-5733	518	1	hacet	hacet	PROPN
ejpam-5733	518	2	.	.	PUNCT
ejpam-5733	519	1	j.	j.	PROPN
ejpam-5733	519	2	math	math	PROPN
ejpam-5733	519	3	.	.	PUNCT
ejpam-5733	520	1	stat	stat	PROPN
ejpam-5733	520	2	.	.	PUNCT
ejpam-5733	520	3	,	,	PUNCT
ejpam-5733	520	4	43:193–208	43:193–208	NOUN
ejpam-5733	520	5	,	,	PUNCT
ejpam-5733	520	6	2014	2014	NUM
ejpam-5733	520	7	.	.	PUNCT
ejpam-5733	521	1	[	[	X
ejpam-5733	521	2	21	21	NUM
ejpam-5733	521	3	]	]	X
ejpam-5733	521	4	s.	s.	PROPN
ejpam-5733	521	5	hussain	hussain	PROPN
ejpam-5733	521	6	and	and	CCONJ
ejpam-5733	521	7	b.	b.	PROPN
ejpam-5733	521	8	ahmad	ahmad	PROPN
ejpam-5733	521	9	.	.	PUNCT
ejpam-5733	521	10	soft	soft	ADJ
ejpam-5733	521	11	separation	separation	NOUN
ejpam-5733	521	12	axioms	axiom	NOUN
ejpam-5733	521	13	in	in	ADP
ejpam-5733	521	14	soft	soft	ADJ
ejpam-5733	521	15	topological	topological	ADJ
ejpam-5733	521	16	spaces	space	NOUN
ejpam-5733	521	17	.	.	PUNCT
ejpam-5733	522	1	hacet	hacet	PROPN
ejpam-5733	522	2	.	.	PUNCT
ejpam-5733	523	1	j.	j.	PROPN
ejpam-5733	523	2	math	math	PROPN
ejpam-5733	523	3	.	.	PUNCT
ejpam-5733	524	1	stat	stat	PROPN
ejpam-5733	524	2	.	.	PUNCT
ejpam-5733	524	3	,	,	PUNCT
ejpam-5733	524	4	44:559–568	44:559–568	PROPN
ejpam-5733	524	5	,	,	PUNCT
ejpam-5733	524	6	2015	2015	NUM
ejpam-5733	524	7	.	.	PUNCT
ejpam-5733	525	1	[	[	X
ejpam-5733	525	2	22	22	NUM
ejpam-5733	525	3	]	]	PUNCT
ejpam-5733	525	4	s.	s.	PROPN
ejpam-5733	525	5	kaur	kaur	PROPN
ejpam-5733	525	6	,	,	PUNCT
ejpam-5733	525	7	t.	t.	PROPN
ejpam-5733	525	8	m.	m.	PROPN
ejpam-5733	525	9	al	al	PROPN
ejpam-5733	525	10	-	-	PUNCT
ejpam-5733	525	11	shami	shami	PROPN
ejpam-5733	525	12	,	,	PUNCT
ejpam-5733	525	13	a.	a.	NOUN
ejpam-5733	525	14	ozkan	ozkan	PROPN
ejpam-5733	525	15	,	,	PUNCT
ejpam-5733	525	16	and	and	CCONJ
ejpam-5733	525	17	m.	m.	PROPN
ejpam-5733	525	18	hosny	hosny	PROPN
ejpam-5733	525	19	.	.	PUNCT
ejpam-5733	526	1	a	a	DET
ejpam-5733	526	2	new	new	ADJ
ejpam-5733	526	3	approach	approach	NOUN
ejpam-5733	526	4	to	to	ADP
ejpam-5733	526	5	soft	soft	ADJ
ejpam-5733	526	6	continuity	continuity	NOUN
ejpam-5733	526	7	.	.	PUNCT
ejpam-5733	527	1	mathematics	mathematic	NOUN
ejpam-5733	527	2	,	,	PUNCT
ejpam-5733	527	3	11:3164	11:3164	NUM
ejpam-5733	527	4	,	,	PUNCT
ejpam-5733	527	5	2023	2023	NUM
ejpam-5733	527	6	.	.	PUNCT
ejpam-5733	528	1	[	[	X
ejpam-5733	528	2	23	23	NUM
ejpam-5733	528	3	]	]	PUNCT
ejpam-5733	528	4	p.	p.	PROPN
ejpam-5733	528	5	k.	k.	PROPN
ejpam-5733	529	1	maji	maji	PROPN
ejpam-5733	529	2	,	,	PUNCT
ejpam-5733	529	3	r.	r.	PROPN
ejpam-5733	529	4	biswas	biswas	PROPN
ejpam-5733	529	5	,	,	PUNCT
ejpam-5733	529	6	and	and	CCONJ
ejpam-5733	530	1	a.	a.	PROPN
ejpam-5733	530	2	r.	r.	PROPN
ejpam-5733	530	3	roy	roy	PROPN
ejpam-5733	530	4	.	.	PROPN
ejpam-5733	530	5	fuzzy	fuzzy	ADJ
ejpam-5733	530	6	soft	soft	ADJ
ejpam-5733	530	7	sets	set	NOUN
ejpam-5733	530	8	.	.	PUNCT
ejpam-5733	531	1	j.	j.	PROPN
ejpam-5733	531	2	fuzzy	fuzzy	PROPN
ejpam-5733	531	3	math	math	PROPN
ejpam-5733	531	4	.	.	PUNCT
ejpam-5733	531	5	,	,	PUNCT
ejpam-5733	531	6	9:589–602	9:589–602	NUM
ejpam-5733	531	7	,	,	PUNCT
ejpam-5733	531	8	2001	2001	NUM
ejpam-5733	531	9	.	.	PUNCT
ejpam-5733	532	1	i.	i.	PROPN
ejpam-5733	532	2	alshammari	alshammari	PROPN
ejpam-5733	532	3	et	et	PROPN
ejpam-5733	532	4	al	al	PROPN
ejpam-5733	532	5	.	.	PUNCT
ejpam-5733	532	6	/	/	SYM
ejpam-5733	532	7	eur	eur	PROPN
ejpam-5733	532	8	.	.	PUNCT
ejpam-5733	533	1	j.	j.	PROPN
ejpam-5733	533	2	pure	pure	PROPN
ejpam-5733	533	3	appl	appl	PROPN
ejpam-5733	533	4	.	.	PROPN
ejpam-5733	533	5	math	math	PROPN
ejpam-5733	533	6	,	,	PUNCT
ejpam-5733	533	7	18	18	NUM
ejpam-5733	533	8	(	(	PUNCT
ejpam-5733	533	9	1	1	NUM
ejpam-5733	533	10	)	)	PUNCT
ejpam-5733	533	11	(	(	PUNCT
ejpam-5733	533	12	2025	2025	NUM
ejpam-5733	533	13	)	)	PUNCT
ejpam-5733	533	14	,	,	PUNCT
ejpam-5733	533	15	5733	5733	NUM
ejpam-5733	533	16	21	21	NUM
ejpam-5733	533	17	of	of	ADP
ejpam-5733	533	18	21	21	NUM
ejpam-5733	533	19	[	[	SYM
ejpam-5733	533	20	24	24	NUM
ejpam-5733	533	21	]	]	PUNCT
ejpam-5733	533	22	s.	s.	PROPN
ejpam-5733	533	23	mishra	mishra	PROPN
ejpam-5733	533	24	and	and	CCONJ
ejpam-5733	533	25	r.	r.	PROPN
ejpam-5733	533	26	srivastava	srivastava	PROPN
ejpam-5733	533	27	.	.	PUNCT
ejpam-5733	534	1	hausdorff	hausdorff	PROPN
ejpam-5733	534	2	fuzzy	fuzzy	ADJ
ejpam-5733	534	3	soft	soft	ADJ
ejpam-5733	534	4	topological	topological	ADJ
ejpam-5733	534	5	spaces	space	NOUN
ejpam-5733	534	6	.	.	PUNCT
ejpam-5733	535	1	ann	ann	PROPN
ejpam-5733	535	2	.	.	PUNCT
ejpam-5733	535	3	fuzzy	fuzzy	ADJ
ejpam-5733	535	4	math	math	NOUN
ejpam-5733	535	5	.	.	PUNCT
ejpam-5733	536	1	inform	inform	NOUN
ejpam-5733	536	2	.	.	PUNCT
ejpam-5733	536	3	,	,	PUNCT
ejpam-5733	536	4	9:247–260	9:247–260	NOUN
ejpam-5733	536	5	,	,	PUNCT
ejpam-5733	536	6	2015	2015	NUM
ejpam-5733	536	7	.	.	PUNCT
ejpam-5733	537	1	[	[	X
ejpam-5733	537	2	25	25	NUM
ejpam-5733	537	3	]	]	X
ejpam-5733	537	4	d.	d.	PROPN
ejpam-5733	537	5	molodtsov	molodtsov	PROPN
ejpam-5733	537	6	.	.	PUNCT
ejpam-5733	538	1	soft	soft	ADJ
ejpam-5733	538	2	set	set	NOUN
ejpam-5733	538	3	theory	theory	NOUN
ejpam-5733	538	4	-	-	PUNCT
ejpam-5733	538	5	first	first	ADJ
ejpam-5733	538	6	results	result	NOUN
ejpam-5733	538	7	.	.	PUNCT
ejpam-5733	539	1	comput	comput	NOUN
ejpam-5733	539	2	.	.	PUNCT
ejpam-5733	540	1	math	math	NOUN
ejpam-5733	540	2	.	.	PUNCT
ejpam-5733	541	1	appl	appl	PROPN
ejpam-5733	541	2	.	.	PROPN
ejpam-5733	541	3	,	,	PUNCT
ejpam-5733	541	4	37:19–31	37:19–31	PROPN
ejpam-5733	541	5	,	,	PUNCT
ejpam-5733	541	6	1999	1999	NUM
ejpam-5733	541	7	.	.	PUNCT
ejpam-5733	542	1	[	[	X
ejpam-5733	542	2	26	26	NUM
ejpam-5733	542	3	]	]	PUNCT
ejpam-5733	542	4	s.	s.	PROPN
ejpam-5733	542	5	k.	k.	PROPN
ejpam-5733	542	6	nazmul	nazmul	PROPN
ejpam-5733	542	7	and	and	CCONJ
ejpam-5733	542	8	s.	s.	PROPN
ejpam-5733	542	9	k.	k.	PROPN
ejpam-5733	542	10	samanta	samanta	PROPN
ejpam-5733	542	11	.	.	PUNCT
ejpam-5733	543	1	neighbourhood	neighbourhood	NOUN
ejpam-5733	543	2	properties	property	NOUN
ejpam-5733	543	3	of	of	ADP
ejpam-5733	543	4	soft	soft	ADJ
ejpam-5733	543	5	topological	topological	ADJ
ejpam-5733	543	6	spaces	space	NOUN
ejpam-5733	543	7	.	.	PUNCT
ejpam-5733	544	1	ann	ann	PROPN
ejpam-5733	544	2	.	.	PUNCT
ejpam-5733	544	3	fuzzy	fuzzy	ADJ
ejpam-5733	544	4	math	math	NOUN
ejpam-5733	544	5	.	.	PUNCT
ejpam-5733	545	1	inform	inform	NOUN
ejpam-5733	545	2	.	.	PUNCT
ejpam-5733	545	3	,	,	PUNCT
ejpam-5733	545	4	6:1–15	6:1–15	NUM
ejpam-5733	545	5	,	,	PUNCT
ejpam-5733	545	6	2013	2013	NUM
ejpam-5733	545	7	.	.	PUNCT
ejpam-5733	546	1	[	[	X
ejpam-5733	546	2	27	27	NUM
ejpam-5733	546	3	]	]	PUNCT
ejpam-5733	546	4	m.	m.	NOUN
ejpam-5733	546	5	a.	a.	PROPN
ejpam-5733	546	6	el	el	PROPN
ejpam-5733	546	7	safty	safty	PROPN
ejpam-5733	546	8	,	,	PUNCT
ejpam-5733	546	9	s.	s.	PROPN
ejpam-5733	546	10	al	al	PROPN
ejpam-5733	546	11	zahrani	zahrani	PROPN
ejpam-5733	546	12	,	,	PUNCT
ejpam-5733	546	13	m.	m.	PROPN
ejpam-5733	546	14	k.	k.	PROPN
ejpam-5733	546	15	el	el	PROPN
ejpam-5733	546	16	-	-	PROPN
ejpam-5733	546	17	bably	bably	ADV
ejpam-5733	546	18	,	,	PUNCT
ejpam-5733	546	19	and	and	CCONJ
ejpam-5733	546	20	m.	m.	PROPN
ejpam-5733	546	21	el	el	PROPN
ejpam-5733	546	22	sayed	say	VERB
ejpam-5733	546	23	.	.	PUNCT
ejpam-5733	547	1	soft	soft	ADJ
ejpam-5733	547	2	ζ	ζ	NOUN
ejpam-5733	547	3	-	-	PUNCT
ejpam-5733	547	4	rough	rough	ADJ
ejpam-5733	547	5	set	set	NOUN
ejpam-5733	547	6	and	and	CCONJ
ejpam-5733	547	7	its	its	PRON
ejpam-5733	547	8	applications	application	NOUN
ejpam-5733	547	9	in	in	ADP
ejpam-5733	547	10	decision	decision	NOUN
ejpam-5733	547	11	making	making	NOUN
ejpam-5733	547	12	of	of	ADP
ejpam-5733	547	13	coronavirus	coronavirus	NOUN
ejpam-5733	547	14	.	.	PUNCT
ejpam-5733	548	1	comp	comp	NOUN
ejpam-5733	548	2	.	.	PUNCT
ejpam-5733	549	1	materials	material	NOUN
ejpam-5733	549	2	cont	cont	PROPN
ejpam-5733	549	3	.	.	PUNCT
ejpam-5733	549	4	,	,	PUNCT
ejpam-5733	550	1	70:267–285	70:267–285	PROPN
ejpam-5733	550	2	,	,	PUNCT
ejpam-5733	550	3	2022	2022	NUM
ejpam-5733	550	4	.	.	PUNCT
ejpam-5733	551	1	[	[	X
ejpam-5733	551	2	28	28	NUM
ejpam-5733	551	3	]	]	X
ejpam-5733	551	4	s.	s.	PROPN
ejpam-5733	551	5	saleh	saleh	PROPN
ejpam-5733	551	6	,	,	PUNCT
ejpam-5733	551	7	r.	r.	PROPN
ejpam-5733	551	8	abu	abu	PROPN
ejpam-5733	551	9	-	-	PUNCT
ejpam-5733	551	10	gdairi	gdairi	PROPN
ejpam-5733	551	11	,	,	PUNCT
ejpam-5733	551	12	t.	t.	PROPN
ejpam-5733	551	13	m.	m.	PROPN
ejpam-5733	551	14	al	al	PROPN
ejpam-5733	551	15	-	-	PUNCT
ejpam-5733	551	16	shami	shami	PROPN
ejpam-5733	551	17	,	,	PUNCT
ejpam-5733	551	18	and	and	CCONJ
ejpam-5733	551	19	m.	m.	PROPN
ejpam-5733	551	20	s.	s.	PROPN
ejpam-5733	551	21	abdo	abdo	PROPN
ejpam-5733	551	22	.	.	PUNCT
ejpam-5733	552	1	on	on	ADP
ejpam-5733	552	2	categorical	categorical	ADJ
ejpam-5733	552	3	property	property	NOUN
ejpam-5733	552	4	of	of	ADP
ejpam-5733	552	5	fuzzy	fuzzy	ADJ
ejpam-5733	552	6	soft	soft	ADJ
ejpam-5733	552	7	topological	topological	ADJ
ejpam-5733	552	8	spaces	space	NOUN
ejpam-5733	552	9	.	.	PUNCT
ejpam-5733	553	1	appl	appl	PROPN
ejpam-5733	553	2	.	.	PROPN
ejpam-5733	554	1	math	math	PROPN
ejpam-5733	554	2	.	.	PUNCT
ejpam-5733	555	1	inf	inf	PROPN
ejpam-5733	555	2	.	.	PUNCT
ejpam-5733	556	1	sci	sci	PROPN
ejpam-5733	556	2	.	.	PROPN
ejpam-5733	556	3	,	,	PUNCT
ejpam-5733	556	4	16(4):635–641	16(4):635–641	PROPN
ejpam-5733	556	5	,	,	PUNCT
ejpam-5733	556	6	2022	2022	NUM
ejpam-5733	556	7	.	.	PUNCT
ejpam-5733	557	1	[	[	X
ejpam-5733	557	2	29	29	NUM
ejpam-5733	557	3	]	]	PUNCT
ejpam-5733	557	4	s.	s.	PROPN
ejpam-5733	557	5	saleh	saleh	PROPN
ejpam-5733	557	6	,	,	PUNCT
ejpam-5733	557	7	t.	t.	PROPN
ejpam-5733	557	8	m.	m.	PROPN
ejpam-5733	557	9	al	al	PROPN
ejpam-5733	557	10	-	-	PUNCT
ejpam-5733	557	11	shami	shami	PROPN
ejpam-5733	557	12	,	,	PUNCT
ejpam-5733	557	13	and	and	CCONJ
ejpam-5733	557	14	a.	a.	NOUN
ejpam-5733	557	15	mhemdi	mhemdi	PROPN
ejpam-5733	557	16	.	.	PUNCT
ejpam-5733	558	1	on	on	ADP
ejpam-5733	558	2	some	some	DET
ejpam-5733	558	3	new	new	ADJ
ejpam-5733	558	4	types	type	NOUN
ejpam-5733	558	5	of	of	ADP
ejpam-5733	558	6	fuzzy	fuzzy	ADJ
ejpam-5733	558	7	soft	soft	ADJ
ejpam-5733	558	8	compact	compact	ADJ
ejpam-5733	558	9	spaces	space	NOUN
ejpam-5733	558	10	.	.	PUNCT
ejpam-5733	559	1	j.	j.	PROPN
ejpam-5733	559	2	math	math	PROPN
ejpam-5733	559	3	.	.	PUNCT
ejpam-5733	559	4	,	,	PUNCT
ejpam-5733	559	5	page	page	NOUN
ejpam-5733	559	6	5065592	5065592	NUM
ejpam-5733	559	7	,	,	PUNCT
ejpam-5733	559	8	2023	2023	NUM
ejpam-5733	559	9	.	.	PUNCT
ejpam-5733	560	1	[	[	X
ejpam-5733	560	2	30	30	NUM
ejpam-5733	560	3	]	]	X
ejpam-5733	560	4	m.	m.	NOUN
ejpam-5733	560	5	el	el	PROPN
ejpam-5733	560	6	sayed	sayed	PROPN
ejpam-5733	560	7	,	,	PUNCT
ejpam-5733	560	8	abdul	abdul	PROPN
ejpam-5733	560	9	gawad	gawad	PROPN
ejpam-5733	560	10	a.	a.	PROPN
ejpam-5733	560	11	q.	q.	PROPN
ejpam-5733	560	12	al	al	PROPN
ejpam-5733	560	13	qubati	qubati	PROPN
ejpam-5733	560	14	,	,	PUNCT
ejpam-5733	560	15	and	and	CCONJ
ejpam-5733	560	16	m.	m.	PROPN
ejpam-5733	560	17	k.	k.	PROPN
ejpam-5733	561	1	el	el	PROPN
ejpam-5733	561	2	-	-	PROPN
ejpam-5733	561	3	bably	bably	PROPN
ejpam-5733	561	4	.	.	PUNCT
ejpam-5733	562	1	soft	soft	ADJ
ejpam-5733	562	2	pre	pre	ADJ
ejpam-5733	562	3	-	-	ADJ
ejpam-5733	562	4	rough	rough	ADJ
ejpam-5733	562	5	sets	set	NOUN
ejpam-5733	562	6	and	and	CCONJ
ejpam-5733	562	7	its	its	PRON
ejpam-5733	562	8	applications	application	NOUN
ejpam-5733	562	9	in	in	ADP
ejpam-5733	562	10	decision	decision	NOUN
ejpam-5733	562	11	making	making	NOUN
ejpam-5733	562	12	.	.	PUNCT
ejpam-5733	563	1	math	math	NOUN
ejpam-5733	563	2	.	.	PUNCT
ejpam-5733	564	1	biosciences	bioscience	NOUN
ejpam-5733	564	2	eng	eng	PROPN
ejpam-5733	564	3	.	.	PROPN
ejpam-5733	564	4	,	,	PUNCT
ejpam-5733	564	5	17:6045–6063	17:6045–6063	NUM
ejpam-5733	564	6	,	,	PUNCT
ejpam-5733	564	7	2020	2020	NUM
ejpam-5733	564	8	.	.	PUNCT
ejpam-5733	565	1	[	[	X
ejpam-5733	565	2	31	31	NUM
ejpam-5733	565	3	]	]	PUNCT
ejpam-5733	565	4	m.	m.	NOUN
ejpam-5733	565	5	shabir	shabir	PROPN
ejpam-5733	565	6	and	and	CCONJ
ejpam-5733	565	7	m.	m.	PROPN
ejpam-5733	565	8	naz	naz	PROPN
ejpam-5733	565	9	.	.	PUNCT
ejpam-5733	566	1	on	on	ADP
ejpam-5733	566	2	soft	soft	ADJ
ejpam-5733	566	3	topological	topological	ADJ
ejpam-5733	566	4	spaces	space	NOUN
ejpam-5733	566	5	.	.	PUNCT
ejpam-5733	567	1	comput	comput	NOUN
ejpam-5733	567	2	.	.	PUNCT
ejpam-5733	568	1	math	math	NOUN
ejpam-5733	568	2	.	.	PUNCT
ejpam-5733	569	1	appl	appl	PROPN
ejpam-5733	569	2	.	.	PROPN
ejpam-5733	569	3	,	,	PUNCT
ejpam-5733	569	4	61:1786	61:1786	X
ejpam-5733	569	5	–	–	PUNCT
ejpam-5733	569	6	1799	1799	NUM
ejpam-5733	569	7	,	,	PUNCT
ejpam-5733	569	8	2011	2011	NUM
ejpam-5733	569	9	.	.	PUNCT
ejpam-5733	570	1	[	[	X
ejpam-5733	570	2	32	32	NUM
ejpam-5733	570	3	]	]	PUNCT
ejpam-5733	570	4	i.	i.	PROPN
ejpam-5733	570	5	m.	m.	PROPN
ejpam-5733	570	6	taha	taha	PROPN
ejpam-5733	570	7	.	.	PUNCT
ejpam-5733	571	1	a	a	DET
ejpam-5733	571	2	new	new	ADJ
ejpam-5733	571	3	approach	approach	NOUN
ejpam-5733	571	4	to	to	ADP
ejpam-5733	571	5	separation	separation	NOUN
ejpam-5733	571	6	and	and	CCONJ
ejpam-5733	571	7	regularity	regularity	NOUN
ejpam-5733	571	8	axioms	axiom	NOUN
ejpam-5733	571	9	via	via	ADP
ejpam-5733	571	10	fuzzy	fuzzy	ADJ
ejpam-5733	571	11	soft	soft	ADJ
ejpam-5733	571	12	sets	set	NOUN
ejpam-5733	571	13	.	.	PUNCT
ejpam-5733	572	1	ann	ann	PROPN
ejpam-5733	572	2	.	.	PUNCT
ejpam-5733	572	3	fuzzy	fuzzy	ADJ
ejpam-5733	572	4	math	math	NOUN
ejpam-5733	572	5	.	.	PUNCT
ejpam-5733	573	1	inform	inform	NOUN
ejpam-5733	573	2	.	.	PUNCT
ejpam-5733	573	3	,	,	PUNCT
ejpam-5733	573	4	20:115–123	20:115–123	NOUN
ejpam-5733	573	5	,	,	PUNCT
ejpam-5733	573	6	2020	2020	NUM
ejpam-5733	573	7	.	.	PUNCT
ejpam-5733	574	1	[	[	X
ejpam-5733	574	2	33	33	NUM
ejpam-5733	574	3	]	]	PUNCT
ejpam-5733	574	4	i.	i.	PROPN
ejpam-5733	574	5	m.	m.	PROPN
ejpam-5733	574	6	taha	taha	PROPN
ejpam-5733	574	7	.	.	PUNCT
ejpam-5733	575	1	compactness	compactness	NOUN
ejpam-5733	575	2	on	on	ADP
ejpam-5733	575	3	fuzzy	fuzzy	ADJ
ejpam-5733	575	4	soft	soft	ADJ
ejpam-5733	575	5	r	r	NOUN
ejpam-5733	575	6	-	-	PUNCT
ejpam-5733	575	7	minimal	minimal	ADJ
ejpam-5733	575	8	spaces	space	NOUN
ejpam-5733	575	9	.	.	PUNCT
ejpam-5733	576	1	int	int	NOUN
ejpam-5733	576	2	.	.	PUNCT
ejpam-5733	577	1	j.	j.	PROPN
ejpam-5733	577	2	fuzzy	fuzzy	PROPN
ejpam-5733	577	3	logic	logic	PROPN
ejpam-5733	577	4	intell	intell	PROPN
ejpam-5733	577	5	.	.	PUNCT
ejpam-5733	578	1	syst	syst	PROPN
ejpam-5733	578	2	.	.	PROPN
ejpam-5733	578	3	,	,	PUNCT
ejpam-5733	578	4	21:251–258	21:251–258	PROPN
ejpam-5733	578	5	,	,	PUNCT
ejpam-5733	578	6	2021	2021	NUM
ejpam-5733	578	7	.	.	PUNCT
ejpam-5733	579	1	[	[	X
ejpam-5733	579	2	34	34	NUM
ejpam-5733	579	3	]	]	X
ejpam-5733	579	4	i.	i.	PROPN
ejpam-5733	579	5	m.	m.	PROPN
ejpam-5733	579	6	taha	taha	PROPN
ejpam-5733	579	7	.	.	PUNCT
ejpam-5733	580	1	on	on	ADP
ejpam-5733	580	2	fuzzy	fuzzy	ADJ
ejpam-5733	580	3	upper	upper	ADJ
ejpam-5733	580	4	and	and	CCONJ
ejpam-5733	580	5	lower	low	ADJ
ejpam-5733	580	6	α-ℓ-continuity	α-ℓ-continuity	NOUN
ejpam-5733	580	7	and	and	CCONJ
ejpam-5733	580	8	their	their	PRON
ejpam-5733	580	9	decomposition	decomposition	NOUN
ejpam-5733	580	10	.	.	PUNCT
ejpam-5733	581	1	j.	j.	PROPN
ejpam-5733	581	2	math	math	PROPN
ejpam-5733	581	3	.	.	PUNCT
ejpam-5733	582	1	comput	comput	NOUN
ejpam-5733	582	2	.	.	PUNCT
ejpam-5733	583	1	sci	sci	PROPN
ejpam-5733	583	2	.	.	PROPN
ejpam-5733	583	3	,	,	PUNCT
ejpam-5733	583	4	11(1):427–441	11(1):427–441	NUM
ejpam-5733	583	5	,	,	PUNCT
ejpam-5733	583	6	2021	2021	NUM
ejpam-5733	583	7	.	.	PUNCT
ejpam-5733	584	1	[	[	X
ejpam-5733	584	2	35	35	NUM
ejpam-5733	584	3	]	]	X
ejpam-5733	584	4	i.	i.	PROPN
ejpam-5733	584	5	m.	m.	PROPN
ejpam-5733	584	6	taha	taha	PROPN
ejpam-5733	584	7	.	.	PUNCT
ejpam-5733	585	1	on	on	ADP
ejpam-5733	585	2	r	r	NOUN
ejpam-5733	585	3	-	-	PUNCT
ejpam-5733	585	4	generalized	generalize	VERB
ejpam-5733	585	5	fuzzy	fuzzy	ADJ
ejpam-5733	585	6	ℓ-closed	ℓ-close	VERB
ejpam-5733	585	7	sets	set	NOUN
ejpam-5733	585	8	:	:	PUNCT
ejpam-5733	585	9	properties	property	NOUN
ejpam-5733	585	10	and	and	CCONJ
ejpam-5733	585	11	applications	application	NOUN
ejpam-5733	585	12	.	.	PUNCT
ejpam-5733	586	1	j.	j.	PROPN
ejpam-5733	586	2	math	math	PROPN
ejpam-5733	586	3	.	.	PUNCT
ejpam-5733	586	4	,	,	PUNCT
ejpam-5733	586	5	page	page	NOUN
ejpam-5733	586	6	4483481	4483481	NUM
ejpam-5733	586	7	,	,	PUNCT
ejpam-5733	586	8	2021	2021	NUM
ejpam-5733	586	9	.	.	PUNCT
ejpam-5733	587	1	[	[	X
ejpam-5733	587	2	36	36	NUM
ejpam-5733	587	3	]	]	X
ejpam-5733	587	4	i.	i.	PROPN
ejpam-5733	587	5	m.	m.	PROPN
ejpam-5733	587	6	taha	taha	PROPN
ejpam-5733	587	7	.	.	PUNCT
ejpam-5733	588	1	some	some	DET
ejpam-5733	588	2	new	new	ADJ
ejpam-5733	588	3	separation	separation	NOUN
ejpam-5733	588	4	axioms	axiom	VERB
ejpam-5733	588	5	in	in	ADP
ejpam-5733	588	6	fuzzy	fuzzy	ADJ
ejpam-5733	588	7	soft	soft	ADJ
ejpam-5733	588	8	topological	topological	ADJ
ejpam-5733	588	9	spaces	space	NOUN
ejpam-5733	588	10	.	.	PUNCT
ejpam-5733	589	1	filomat	filomat	PROPN
ejpam-5733	589	2	,	,	PUNCT
ejpam-5733	589	3	35:1775–1783	35:1775–1783	PROPN
ejpam-5733	589	4	,	,	PUNCT
ejpam-5733	589	5	2021	2021	NUM
ejpam-5733	589	6	.	.	PUNCT
ejpam-5733	590	1	[	[	X
ejpam-5733	590	2	37	37	NUM
ejpam-5733	590	3	]	]	PUNCT
ejpam-5733	590	4	i.	i.	PROPN
ejpam-5733	590	5	m.	m.	PROPN
ejpam-5733	590	6	taha	taha	PROPN
ejpam-5733	590	7	.	.	PUNCT
ejpam-5733	591	1	r	r	X
ejpam-5733	591	2	-	-	PUNCT
ejpam-5733	591	3	fuzzy	fuzzy	ADJ
ejpam-5733	591	4	δ-ℓ-open	δ-ℓ-open	NOUN
ejpam-5733	591	5	sets	set	NOUN
ejpam-5733	591	6	and	and	CCONJ
ejpam-5733	591	7	fuzzy	fuzzy	ADJ
ejpam-5733	591	8	upper	upper	ADJ
ejpam-5733	591	9	(	(	PUNCT
ejpam-5733	591	10	lower	low	ADJ
ejpam-5733	591	11	)	)	PUNCT
ejpam-5733	591	12	δ-ℓ-continuity	δ-ℓ-continuity	NOUN
ejpam-5733	591	13	via	via	ADP
ejpam-5733	591	14	fuzzy	fuzzy	ADJ
ejpam-5733	591	15	idealization	idealization	NOUN
ejpam-5733	591	16	.	.	PUNCT
ejpam-5733	592	1	j.	j.	PROPN
ejpam-5733	592	2	math	math	PROPN
ejpam-5733	592	3	.	.	PUNCT
ejpam-5733	593	1	comput	comput	NOUN
ejpam-5733	593	2	.	.	PUNCT
ejpam-5733	594	1	sci	sci	PROPN
ejpam-5733	594	2	.	.	PROPN
ejpam-5733	594	3	,	,	PUNCT
ejpam-5733	594	4	25(1):1–9	25(1):1–9	NUM
ejpam-5733	594	5	,	,	PUNCT
ejpam-5733	594	6	2022	2022	NUM
ejpam-5733	594	7	.	.	PUNCT
ejpam-5733	595	1	[	[	X
ejpam-5733	595	2	38	38	NUM
ejpam-5733	595	3	]	]	PUNCT
ejpam-5733	595	4	i.	i.	PROPN
ejpam-5733	595	5	m.	m.	PROPN
ejpam-5733	595	6	taha	taha	PROPN
ejpam-5733	595	7	.	.	PUNCT
ejpam-5733	596	1	some	some	DET
ejpam-5733	596	2	new	new	ADJ
ejpam-5733	596	3	results	result	NOUN
ejpam-5733	596	4	on	on	ADP
ejpam-5733	596	5	fuzzy	fuzzy	ADJ
ejpam-5733	596	6	soft	soft	ADJ
ejpam-5733	596	7	r	r	NOUN
ejpam-5733	596	8	-	-	PUNCT
ejpam-5733	596	9	minimal	minimal	ADJ
ejpam-5733	596	10	spaces	space	NOUN
ejpam-5733	596	11	.	.	PUNCT
ejpam-5733	597	1	aims	aim	VERB
ejpam-5733	597	2	mathematics	mathematic	NOUN
ejpam-5733	597	3	,	,	PUNCT
ejpam-5733	597	4	7:12458–12470	7:12458–12470	NUM
ejpam-5733	597	5	,	,	PUNCT
ejpam-5733	597	6	2022	2022	NUM
ejpam-5733	597	7	.	.	PUNCT
ejpam-5733	598	1	[	[	X
ejpam-5733	598	2	39	39	NUM
ejpam-5733	598	3	]	]	PUNCT
ejpam-5733	598	4	m.	m.	NOUN
ejpam-5733	598	5	terepeta	terepeta	PROPN
ejpam-5733	598	6	.	.	PUNCT
ejpam-5733	599	1	on	on	ADP
ejpam-5733	599	2	separating	separate	VERB
ejpam-5733	599	3	axioms	axiom	NOUN
ejpam-5733	599	4	and	and	CCONJ
ejpam-5733	599	5	similarity	similarity	NOUN
ejpam-5733	599	6	of	of	ADP
ejpam-5733	599	7	soft	soft	ADJ
ejpam-5733	599	8	topological	topological	ADJ
ejpam-5733	599	9	spaces	space	NOUN
ejpam-5733	599	10	.	.	PUNCT
ejpam-5733	600	1	soft	soft	ADJ
ejpam-5733	600	2	computing	computing	NOUN
ejpam-5733	600	3	,	,	PUNCT
ejpam-5733	600	4	23(3):1049–1057	23(3):1049–1057	NUM
ejpam-5733	600	5	,	,	PUNCT
ejpam-5733	600	6	2019	2019	NUM
ejpam-5733	600	7	.	.	PUNCT
ejpam-5733	601	1	[	[	X
ejpam-5733	601	2	40	40	NUM
ejpam-5733	601	3	]	]	PUNCT
ejpam-5733	601	4	s.	s.	PROPN
ejpam-5733	601	5	s.	s.	PROPN
ejpam-5733	601	6	thakur	thakur	PROPN
ejpam-5733	601	7	and	and	CCONJ
ejpam-5733	601	8	a.	a.	NOUN
ejpam-5733	601	9	s.	s.	PROPN
ejpam-5733	601	10	rajput	rajput	PROPN
ejpam-5733	601	11	.	.	PUNCT
ejpam-5733	602	1	connectedness	connectedness	NOUN
ejpam-5733	602	2	between	between	ADP
ejpam-5733	602	3	soft	soft	ADJ
ejpam-5733	602	4	sets	set	NOUN
ejpam-5733	602	5	.	.	PUNCT
ejpam-5733	603	1	new	new	ADJ
ejpam-5733	603	2	math	math	NOUN
ejpam-5733	603	3	.	.	PUNCT
ejpam-5733	604	1	nat	nat	PROPN
ejpam-5733	604	2	.	.	PUNCT
ejpam-5733	605	1	comput	comput	PROPN
ejpam-5733	605	2	.	.	PUNCT
ejpam-5733	605	3	,	,	PUNCT
ejpam-5733	605	4	14:53–71	14:53–71	PROPN
ejpam-5733	605	5	,	,	PUNCT
ejpam-5733	605	6	2018	2018	NUM
ejpam-5733	605	7	.	.	PUNCT
ejpam-5733	606	1	[	[	X
ejpam-5733	606	2	41	41	NUM
ejpam-5733	606	3	]	]	PUNCT
ejpam-5733	606	4	a.	a.	NOUN
ejpam-5733	606	5	p.	p.	NOUN
ejpam-5733	606	6	šostak	šostak	NOUN
ejpam-5733	606	7	.	.	PUNCT
ejpam-5733	607	1	on	on	ADP
ejpam-5733	607	2	a	a	DET
ejpam-5733	607	3	fuzzy	fuzzy	ADJ
ejpam-5733	607	4	topological	topological	ADJ
ejpam-5733	607	5	structure	structure	NOUN
ejpam-5733	607	6	.	.	PUNCT
ejpam-5733	608	1	in	in	ADP
ejpam-5733	608	2	in	in	ADP
ejpam-5733	608	3	:	:	PUNCT
ejpam-5733	608	4	proceedings	proceeding	NOUN
ejpam-5733	608	5	of	of	ADP
ejpam-5733	608	6	the	the	DET
ejpam-5733	608	7	13th	13th	NOUN
ejpam-5733	608	8	winter	winter	NOUN
ejpam-5733	608	9	school	school	NOUN
ejpam-5733	608	10	on	on	ADP
ejpam-5733	608	11	abstract	abstract	ADJ
ejpam-5733	608	12	analysis	analysis	NOUN
ejpam-5733	608	13	,	,	PUNCT
ejpam-5733	608	14	section	section	NOUN
ejpam-5733	608	15	of	of	ADP
ejpam-5733	608	16	topology	topology	NOUN
ejpam-5733	608	17	,	,	PUNCT
ejpam-5733	608	18	palermo	palermo	NOUN
ejpam-5733	608	19	:	:	PUNCT
ejpam-5733	608	20	circolo	circolo	PROPN
ejpam-5733	608	21	matematico	matematico	NOUN
ejpam-5733	608	22	di	di	X
ejpam-5733	608	23	palermo	palermo	NOUN
ejpam-5733	608	24	,	,	PUNCT
ejpam-5733	608	25	pages	page	NOUN
ejpam-5733	608	26	89–103	89–103	PROPN
ejpam-5733	608	27	,	,	PUNCT
ejpam-5733	608	28	1985	1985	NUM
ejpam-5733	608	29	.	.	PUNCT
ejpam-5733	609	1	[	[	X
ejpam-5733	609	2	42	42	NUM
ejpam-5733	609	3	]	]	X
ejpam-5733	609	4	h.	h.	PROPN
ejpam-5733	609	5	l.	l.	PROPN
ejpam-5733	609	6	yang	yang	PROPN
ejpam-5733	609	7	,	,	PUNCT
ejpam-5733	609	8	x.	x.	PROPN
ejpam-5733	609	9	liao	liao	PROPN
ejpam-5733	609	10	,	,	PUNCT
ejpam-5733	609	11	and	and	CCONJ
ejpam-5733	609	12	s.	s.	PROPN
ejpam-5733	609	13	g.	g.	PROPN
ejpam-5733	609	14	li	li	PROPN
ejpam-5733	609	15	.	.	PROPN
ejpam-5733	610	1	on	on	ADP
ejpam-5733	610	2	soft	soft	ADJ
ejpam-5733	610	3	continuous	continuous	ADJ
ejpam-5733	610	4	mappings	mapping	NOUN
ejpam-5733	610	5	and	and	CCONJ
ejpam-5733	610	6	soft	soft	ADJ
ejpam-5733	610	7	connectedness	connectedness	NOUN
ejpam-5733	610	8	of	of	ADP
ejpam-5733	610	9	soft	soft	ADJ
ejpam-5733	610	10	topological	topological	ADJ
ejpam-5733	610	11	spaces	space	NOUN
ejpam-5733	610	12	.	.	PUNCT
ejpam-5733	611	1	hacet	hacet	PROPN
ejpam-5733	611	2	.	.	PUNCT
ejpam-5733	612	1	j.	j.	PROPN
ejpam-5733	612	2	math	math	PROPN
ejpam-5733	612	3	.	.	PUNCT
ejpam-5733	613	1	stat	stat	PROPN
ejpam-5733	613	2	.	.	PUNCT
ejpam-5733	613	3	,	,	PUNCT
ejpam-5733	613	4	44:385–398	44:385–398	PROPN
ejpam-5733	613	5	,	,	PUNCT
ejpam-5733	613	6	2015	2015	NUM
ejpam-5733	613	7	.	.	PUNCT
ejpam-5733	614	1	[	[	X
ejpam-5733	614	2	43	43	NUM
ejpam-5733	614	3	]	]	X
ejpam-5733	614	4	l.	l.	PROPN
ejpam-5733	614	5	a.	a.	PROPN
ejpam-5733	614	6	zadeh	zadeh	PROPN
ejpam-5733	614	7	.	.	PUNCT
ejpam-5733	614	8	fuzzy	fuzzy	ADJ
ejpam-5733	614	9	sets	set	NOUN
ejpam-5733	614	10	.	.	PUNCT
ejpam-5733	615	1	inform	inform	NOUN
ejpam-5733	615	2	.	.	PUNCT
ejpam-5733	616	1	control	control	NOUN
ejpam-5733	616	2	,	,	PUNCT
ejpam-5733	616	3	8:338–353	8:338–353	NUM
ejpam-5733	616	4	,	,	PUNCT
ejpam-5733	616	5	1965	1965	NUM
ejpam-5733	616	6	.	.	PUNCT
ejpam-5733	617	1	[	[	X
ejpam-5733	617	2	44	44	NUM
ejpam-5733	617	3	]	]	X
ejpam-5733	617	4	i.	i.	PROPN
ejpam-5733	617	5	zorlutuna	zorlutuna	PROPN
ejpam-5733	617	6	,	,	PUNCT
ejpam-5733	617	7	m.	m.	NOUN
ejpam-5733	617	8	akdag	akdag	PROPN
ejpam-5733	617	9	,	,	PUNCT
ejpam-5733	617	10	w.	w.	PROPN
ejpam-5733	617	11	k.	k.	PROPN
ejpam-5733	617	12	min	min	PROPN
ejpam-5733	617	13	,	,	PUNCT
ejpam-5733	617	14	and	and	CCONJ
ejpam-5733	617	15	s.	s.	PROPN
ejpam-5733	617	16	atmaca	atmaca	PROPN
ejpam-5733	617	17	.	.	PUNCT
ejpam-5733	618	1	remarks	remark	NOUN
ejpam-5733	618	2	on	on	ADP
ejpam-5733	618	3	soft	soft	ADJ
ejpam-5733	618	4	topological	topological	ADJ
ejpam-5733	618	5	spaces	space	NOUN
ejpam-5733	618	6	.	.	PUNCT
ejpam-5733	619	1	ann	ann	PROPN
ejpam-5733	619	2	.	.	PUNCT
ejpam-5733	619	3	fuzzy	fuzzy	ADJ
ejpam-5733	619	4	math	math	NOUN
ejpam-5733	619	5	.	.	PUNCT
ejpam-5733	620	1	inform	inform	NOUN
ejpam-5733	620	2	.	.	PUNCT
ejpam-5733	620	3	,	,	PUNCT
ejpam-5733	620	4	3:171–185	3:171–185	NUM
ejpam-5733	620	5	,	,	PUNCT
ejpam-5733	620	6	2012	2012	NUM
ejpam-5733	620	7	.	.	PUNCT