id	sid	tid	token	lemma	pos
ejpam-3440	1	1	european	european	PROPN
ejpam-3440	1	2	journal	journal	PROPN
ejpam-3440	1	3	of	of	ADP
ejpam-3440	1	4	pure	pure	ADJ
ejpam-3440	1	5	and	and	CCONJ
ejpam-3440	1	6	applied	apply	VERB
ejpam-3440	1	7	mathematics	mathematic	NOUN
ejpam-3440	1	8	vol	vol	NOUN
ejpam-3440	1	9	.	.	PROPN
ejpam-3440	2	1	12	12	NUM
ejpam-3440	2	2	,	,	PUNCT
ejpam-3440	2	3	no	no	INTJ
ejpam-3440	2	4	.	.	NOUN
ejpam-3440	2	5	3	3	NUM
ejpam-3440	2	6	,	,	PUNCT
ejpam-3440	2	7	2019	2019	NUM
ejpam-3440	2	8	,	,	PUNCT
ejpam-3440	2	9	999	999	NUM
ejpam-3440	2	10	-	-	SYM
ejpam-3440	2	11	1017	1017	NUM
ejpam-3440	2	12	issn	issn	PROPN
ejpam-3440	2	13	1307	1307	NUM
ejpam-3440	2	14	-	-	SYM
ejpam-3440	2	15	5543	5543	NUM
ejpam-3440	2	16	–	–	PUNCT
ejpam-3440	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3440	2	18	published	publish	VERB
ejpam-3440	2	19	by	by	ADP
ejpam-3440	2	20	new	new	PROPN
ejpam-3440	2	21	york	york	PROPN
ejpam-3440	2	22	business	business	PROPN
ejpam-3440	2	23	global	global	VERB
ejpam-3440	2	24	some	some	DET
ejpam-3440	2	25	properties	property	NOUN
ejpam-3440	2	26	of	of	ADP
ejpam-3440	2	27	fuzzy	fuzzy	ADJ
ejpam-3440	2	28	supra	supra	PROPN
ejpam-3440	2	29	soft	soft	ADJ
ejpam-3440	2	30	topological	topological	ADJ
ejpam-3440	2	31	spaces	space	NOUN
ejpam-3440	2	32	a.	a.	NOUN
ejpam-3440	2	33	m.	m.	PROPN
ejpam-3440	2	34	abd	abd	PROPN
ejpam-3440	2	35	el	el	PROPN
ejpam-3440	2	36	-	-	PROPN
ejpam-3440	2	37	latif1,2	latif1,2	ADJ
ejpam-3440	2	38	1	1	NUM
ejpam-3440	2	39	faculty	faculty	NOUN
ejpam-3440	2	40	of	of	ADP
ejpam-3440	2	41	arts	art	NOUN
ejpam-3440	2	42	and	and	CCONJ
ejpam-3440	2	43	science	science	NOUN
ejpam-3440	2	44	,	,	PUNCT
ejpam-3440	2	45	northern	northern	ADJ
ejpam-3440	2	46	border	border	NOUN
ejpam-3440	2	47	university	university	PROPN
ejpam-3440	2	48	,	,	PUNCT
ejpam-3440	2	49	rafha	rafha	NOUN
ejpam-3440	2	50	,	,	PUNCT
ejpam-3440	2	51	p.	p.	PROPN
ejpam-3440	2	52	o.	o.	PROPN
ejpam-3440	2	53	box	box	PROPN
ejpam-3440	2	54	,	,	PUNCT
ejpam-3440	2	55	840	840	NUM
ejpam-3440	2	56	,	,	PUNCT
ejpam-3440	2	57	k.	k.	PROPN
ejpam-3440	2	58	s.	s.	PROPN
ejpam-3440	2	59	a.	a.	PROPN
ejpam-3440	2	60	2	2	NUM
ejpam-3440	2	61	mathematics	mathematics	PROPN
ejpam-3440	2	62	department	department	NOUN
ejpam-3440	2	63	,	,	PUNCT
ejpam-3440	2	64	faculty	faculty	NOUN
ejpam-3440	2	65	of	of	ADP
ejpam-3440	2	66	education	education	NOUN
ejpam-3440	2	67	,	,	PUNCT
ejpam-3440	2	68	ain	ain	PROPN
ejpam-3440	2	69	shams	shams	PROPN
ejpam-3440	2	70	university	university	PROPN
ejpam-3440	2	71	,	,	PUNCT
ejpam-3440	2	72	roxy	roxy	PROPN
ejpam-3440	2	73	,	,	PUNCT
ejpam-3440	2	74	11341	11341	NUM
ejpam-3440	2	75	,	,	PUNCT
ejpam-3440	2	76	cairo	cairo	PROPN
ejpam-3440	2	77	,	,	PUNCT
ejpam-3440	2	78	egypt	egypt	PROPN
ejpam-3440	2	79	abstract	abstract	PROPN
ejpam-3440	2	80	.	.	PUNCT
ejpam-3440	3	1	in	in	ADP
ejpam-3440	3	2	this	this	DET
ejpam-3440	3	3	paper	paper	NOUN
ejpam-3440	3	4	,	,	PUNCT
ejpam-3440	3	5	we	we	PRON
ejpam-3440	3	6	introduce	introduce	VERB
ejpam-3440	3	7	the	the	DET
ejpam-3440	3	8	notion	notion	NOUN
ejpam-3440	3	9	of	of	ADP
ejpam-3440	3	10	fuzzy	fuzzy	ADJ
ejpam-3440	3	11	supra	supra	PROPN
ejpam-3440	3	12	soft	soft	ADJ
ejpam-3440	3	13	topological	topological	ADJ
ejpam-3440	3	14	spaces	space	NOUN
ejpam-3440	3	15	,	,	PUNCT
ejpam-3440	3	16	which	which	PRON
ejpam-3440	3	17	is	be	AUX
ejpam-3440	3	18	a	a	DET
ejpam-3440	3	19	generalization	generalization	NOUN
ejpam-3440	3	20	to	to	ADP
ejpam-3440	3	21	the	the	DET
ejpam-3440	3	22	notion	notion	NOUN
ejpam-3440	3	23	of	of	ADP
ejpam-3440	3	24	fuzzy	fuzzy	ADJ
ejpam-3440	3	25	soft	soft	ADJ
ejpam-3440	3	26	topological	topological	ADJ
ejpam-3440	3	27	spaces	space	NOUN
ejpam-3440	3	28	and	and	CCONJ
ejpam-3440	3	29	supra	supra	PROPN
ejpam-3440	3	30	soft	soft	ADJ
ejpam-3440	3	31	topological	topological	ADJ
ejpam-3440	3	32	spaces	space	NOUN
ejpam-3440	3	33	.	.	PUNCT
ejpam-3440	4	1	also	also	ADV
ejpam-3440	4	2	,	,	PUNCT
ejpam-3440	4	3	we	we	PRON
ejpam-3440	4	4	consider	consider	VERB
ejpam-3440	4	5	the	the	DET
ejpam-3440	4	6	notion	notion	NOUN
ejpam-3440	4	7	of	of	ADP
ejpam-3440	4	8	fuzzy	fuzzy	ADJ
ejpam-3440	4	9	supra	supra	PROPN
ejpam-3440	4	10	soft	soft	ADJ
ejpam-3440	4	11	continuity	continuity	NOUN
ejpam-3440	4	12	as	as	ADP
ejpam-3440	4	13	a	a	DET
ejpam-3440	4	14	generalization	generalization	NOUN
ejpam-3440	4	15	to	to	ADP
ejpam-3440	4	16	fuzzy	fuzzy	ADJ
ejpam-3440	4	17	soft	soft	ADJ
ejpam-3440	4	18	continuity	continuity	NOUN
ejpam-3440	4	19	,	,	PUNCT
ejpam-3440	4	20	supported	support	VERB
ejpam-3440	4	21	by	by	ADP
ejpam-3440	4	22	examples	example	NOUN
ejpam-3440	4	23	and	and	CCONJ
ejpam-3440	4	24	counterexamples	counterexample	NOUN
ejpam-3440	4	25	.	.	PUNCT
ejpam-3440	5	1	these	these	DET
ejpam-3440	5	2	examples	example	NOUN
ejpam-3440	5	3	illustrating	illustrate	VERB
ejpam-3440	5	4	the	the	DET
ejpam-3440	5	5	notions	notion	NOUN
ejpam-3440	5	6	used	use	VERB
ejpam-3440	5	7	in	in	ADP
ejpam-3440	5	8	the	the	DET
ejpam-3440	5	9	paper	paper	NOUN
ejpam-3440	5	10	are	be	AUX
ejpam-3440	5	11	included	include	VERB
ejpam-3440	5	12	.	.	PUNCT
ejpam-3440	6	1	so	so	ADV
ejpam-3440	6	2	we	we	PRON
ejpam-3440	6	3	can	can	AUX
ejpam-3440	6	4	see	see	VERB
ejpam-3440	6	5	that	that	SCONJ
ejpam-3440	6	6	all	all	DET
ejpam-3440	6	7	these	these	DET
ejpam-3440	6	8	concepts	concept	NOUN
ejpam-3440	6	9	are	be	AUX
ejpam-3440	6	10	independent	independent	ADJ
ejpam-3440	6	11	from	from	ADP
ejpam-3440	6	12	each	each	DET
ejpam-3440	6	13	other	other	ADJ
ejpam-3440	6	14	or	or	CCONJ
ejpam-3440	6	15	does	do	AUX
ejpam-3440	6	16	implies	imply	VERB
ejpam-3440	6	17	the	the	DET
ejpam-3440	6	18	other	other	ADJ
ejpam-3440	6	19	.	.	PUNCT
ejpam-3440	7	1	finally	finally	ADV
ejpam-3440	7	2	,	,	PUNCT
ejpam-3440	7	3	as	as	ADP
ejpam-3440	7	4	a	a	DET
ejpam-3440	7	5	direct	direct	ADJ
ejpam-3440	7	6	application	application	NOUN
ejpam-3440	7	7	to	to	ADP
ejpam-3440	7	8	fuzzy	fuzzy	ADJ
ejpam-3440	7	9	supra	supra	PROPN
ejpam-3440	7	10	soft	soft	ADJ
ejpam-3440	7	11	topological	topological	ADJ
ejpam-3440	7	12	spaces	space	NOUN
ejpam-3440	7	13	,	,	PUNCT
ejpam-3440	7	14	we	we	PRON
ejpam-3440	7	15	introduce	introduce	VERB
ejpam-3440	7	16	the	the	DET
ejpam-3440	7	17	notion	notion	NOUN
ejpam-3440	7	18	of	of	ADP
ejpam-3440	7	19	fuzzy	fuzzy	ADJ
ejpam-3440	7	20	supra	supra	PROPN
ejpam-3440	7	21	soft	soft	ADJ
ejpam-3440	7	22	compact	compact	ADJ
ejpam-3440	7	23	(	(	PUNCT
ejpam-3440	7	24	resp	resp	NOUN
ejpam-3440	7	25	.	.	PUNCT
ejpam-3440	8	1	fuzzy	fuzzy	ADJ
ejpam-3440	8	2	supra	supra	PROPN
ejpam-3440	8	3	soft	soft	ADJ
ejpam-3440	8	4	lindelöf	lindelöf	NOUN
ejpam-3440	8	5	)	)	PUNCT
ejpam-3440	8	6	spaces	space	VERB
ejpam-3440	8	7	to	to	ADP
ejpam-3440	8	8	such	such	ADJ
ejpam-3440	8	9	spaces	space	NOUN
ejpam-3440	8	10	as	as	ADP
ejpam-3440	8	11	a	a	DET
ejpam-3440	8	12	generalization	generalization	NOUN
ejpam-3440	8	13	to	to	ADP
ejpam-3440	8	14	fuzzy	fuzzy	ADJ
ejpam-3440	8	15	soft	soft	ADJ
ejpam-3440	8	16	compactness	compactness	NOUN
ejpam-3440	8	17	.	.	PUNCT
ejpam-3440	9	1	furthermore	furthermore	ADV
ejpam-3440	9	2	,	,	PUNCT
ejpam-3440	9	3	we	we	PRON
ejpam-3440	9	4	establish	establish	VERB
ejpam-3440	9	5	some	some	DET
ejpam-3440	9	6	interesting	interesting	ADJ
ejpam-3440	9	7	properties	property	NOUN
ejpam-3440	9	8	of	of	ADP
ejpam-3440	9	9	this	this	DET
ejpam-3440	9	10	notion	notion	NOUN
ejpam-3440	9	11	.	.	PUNCT
ejpam-3440	10	1	2010	2010	NUM
ejpam-3440	10	2	mathematics	mathematic	NOUN
ejpam-3440	10	3	subject	subject	NOUN
ejpam-3440	10	4	classifications	classification	NOUN
ejpam-3440	10	5	:	:	PUNCT
ejpam-3440	10	6	54a40	54a40	NUM
ejpam-3440	10	7	,	,	PUNCT
ejpam-3440	10	8	06d72	06d72	NOUN
ejpam-3440	10	9	,	,	PUNCT
ejpam-3440	10	10	54d30	54d30	NUM
ejpam-3440	10	11	,	,	PUNCT
ejpam-3440	10	12	03e72	03e72	X
ejpam-3440	10	13	key	key	ADJ
ejpam-3440	10	14	words	word	NOUN
ejpam-3440	10	15	and	and	CCONJ
ejpam-3440	10	16	phrases	phrase	NOUN
ejpam-3440	10	17	:	:	PUNCT
ejpam-3440	10	18	fuzzy	fuzzy	ADJ
ejpam-3440	10	19	soft	soft	ADJ
ejpam-3440	10	20	set	set	NOUN
ejpam-3440	10	21	,	,	PUNCT
ejpam-3440	10	22	fuzzy	fuzzy	ADJ
ejpam-3440	10	23	supra	supra	PROPN
ejpam-3440	10	24	soft	soft	ADJ
ejpam-3440	10	25	topological	topological	ADJ
ejpam-3440	10	26	space	space	NOUN
ejpam-3440	10	27	,	,	PUNCT
ejpam-3440	10	28	fuzzy	fuzzy	ADJ
ejpam-3440	10	29	supra	supra	PROPN
ejpam-3440	10	30	soft	soft	ADJ
ejpam-3440	10	31	continuous	continuous	ADJ
ejpam-3440	10	32	mapping	mapping	NOUN
ejpam-3440	10	33	,	,	PUNCT
ejpam-3440	10	34	fuzzy	fuzzy	ADJ
ejpam-3440	10	35	supra	supra	PROPN
ejpam-3440	10	36	soft	soft	ADJ
ejpam-3440	10	37	compactness	compactness	NOUN
ejpam-3440	10	38	1	1	NUM
ejpam-3440	10	39	.	.	PUNCT
ejpam-3440	11	1	introduction	introduction	NOUN
ejpam-3440	11	2	many	many	ADJ
ejpam-3440	11	3	theories	theory	NOUN
ejpam-3440	11	4	like	like	ADP
ejpam-3440	11	5	theory	theory	NOUN
ejpam-3440	11	6	of	of	ADP
ejpam-3440	11	7	probability	probability	NOUN
ejpam-3440	11	8	,	,	PUNCT
ejpam-3440	11	9	theory	theory	NOUN
ejpam-3440	11	10	of	of	ADP
ejpam-3440	11	11	fuzzy	fuzzy	ADJ
ejpam-3440	11	12	sets	set	NOUN
ejpam-3440	11	13	,	,	PUNCT
ejpam-3440	11	14	theory	theory	NOUN
ejpam-3440	11	15	of	of	ADP
ejpam-3440	11	16	intuitionistic	intuitionistic	ADJ
ejpam-3440	11	17	fuzzy	fuzzy	ADJ
ejpam-3440	11	18	sets	set	NOUN
ejpam-3440	11	19	,	,	PUNCT
ejpam-3440	11	20	theory	theory	NOUN
ejpam-3440	11	21	of	of	ADP
ejpam-3440	11	22	rough	rough	ADJ
ejpam-3440	11	23	sets	set	NOUN
ejpam-3440	11	24	etc	etc	X
ejpam-3440	11	25	.	.	X
ejpam-3440	11	26	can	can	AUX
ejpam-3440	11	27	be	be	AUX
ejpam-3440	11	28	considered	consider	VERB
ejpam-3440	11	29	as	as	ADP
ejpam-3440	11	30	mathematical	mathematical	ADJ
ejpam-3440	11	31	tools	tool	NOUN
ejpam-3440	11	32	for	for	ADP
ejpam-3440	11	33	dealing	deal	VERB
ejpam-3440	11	34	with	with	ADP
ejpam-3440	11	35	uncertain	uncertain	ADJ
ejpam-3440	11	36	data	datum	NOUN
ejpam-3440	11	37	,	,	PUNCT
ejpam-3440	11	38	obtained	obtain	VERB
ejpam-3440	11	39	in	in	ADP
ejpam-3440	11	40	various	various	ADJ
ejpam-3440	11	41	fields	field	NOUN
ejpam-3440	11	42	of	of	ADP
ejpam-3440	11	43	engineering	engineering	NOUN
ejpam-3440	11	44	,	,	PUNCT
ejpam-3440	11	45	physics	physics	NOUN
ejpam-3440	11	46	,	,	PUNCT
ejpam-3440	11	47	computer	computer	NOUN
ejpam-3440	11	48	science	science	NOUN
ejpam-3440	11	49	,	,	PUNCT
ejpam-3440	11	50	economics	economic	NOUN
ejpam-3440	11	51	,	,	PUNCT
ejpam-3440	11	52	social	social	ADJ
ejpam-3440	11	53	science	science	NOUN
ejpam-3440	11	54	,	,	PUNCT
ejpam-3440	11	55	medical	medical	ADJ
ejpam-3440	11	56	science	science	NOUN
ejpam-3440	11	57	,	,	PUNCT
ejpam-3440	11	58	and	and	CCONJ
ejpam-3440	11	59	of	of	ADP
ejpam-3440	11	60	many	many	ADJ
ejpam-3440	11	61	other	other	ADJ
ejpam-3440	11	62	diverse	diverse	ADJ
ejpam-3440	11	63	fields	field	NOUN
ejpam-3440	11	64	.	.	PUNCT
ejpam-3440	12	1	but	but	CCONJ
ejpam-3440	12	2	all	all	DET
ejpam-3440	12	3	these	these	DET
ejpam-3440	12	4	theories	theory	NOUN
ejpam-3440	12	5	have	have	VERB
ejpam-3440	12	6	their	their	PRON
ejpam-3440	12	7	own	own	ADJ
ejpam-3440	12	8	difficulties	difficulty	NOUN
ejpam-3440	12	9	.	.	PUNCT
ejpam-3440	13	1	the	the	DET
ejpam-3440	13	2	most	most	ADV
ejpam-3440	13	3	appropriate	appropriate	ADJ
ejpam-3440	13	4	theory	theory	NOUN
ejpam-3440	13	5	for	for	ADP
ejpam-3440	13	6	dealing	deal	VERB
ejpam-3440	13	7	with	with	ADP
ejpam-3440	13	8	uncertainties	uncertainty	NOUN
ejpam-3440	13	9	is	be	AUX
ejpam-3440	13	10	the	the	DET
ejpam-3440	13	11	theory	theory	NOUN
ejpam-3440	13	12	of	of	ADP
ejpam-3440	13	13	fuzzy	fuzzy	ADJ
ejpam-3440	13	14	sets	set	NOUN
ejpam-3440	13	15	,	,	PUNCT
ejpam-3440	13	16	introduced	introduce	VERB
ejpam-3440	13	17	by	by	ADP
ejpam-3440	13	18	zadeh	zadeh	PROPN
ejpam-3440	13	19	[	[	X
ejpam-3440	13	20	32	32	NUM
ejpam-3440	13	21	]	]	PUNCT
ejpam-3440	13	22	in	in	ADP
ejpam-3440	13	23	1965	1965	NUM
ejpam-3440	13	24	.	.	PUNCT
ejpam-3440	14	1	this	this	DET
ejpam-3440	14	2	theory	theory	NOUN
ejpam-3440	14	3	brought	bring	VERB
ejpam-3440	14	4	a	a	DET
ejpam-3440	14	5	paradigmatic	paradigmatic	ADJ
ejpam-3440	14	6	change	change	NOUN
ejpam-3440	14	7	in	in	ADP
ejpam-3440	14	8	mathematics	mathematic	NOUN
ejpam-3440	14	9	.	.	PUNCT
ejpam-3440	15	1	but	but	CCONJ
ejpam-3440	15	2	,	,	PUNCT
ejpam-3440	15	3	there	there	PRON
ejpam-3440	15	4	exists	exist	VERB
ejpam-3440	15	5	difficulty	difficulty	NOUN
ejpam-3440	15	6	,	,	PUNCT
ejpam-3440	15	7	how	how	SCONJ
ejpam-3440	15	8	to	to	PART
ejpam-3440	15	9	set	set	VERB
ejpam-3440	15	10	the	the	DET
ejpam-3440	15	11	membership	membership	NOUN
ejpam-3440	15	12	function	function	NOUN
ejpam-3440	15	13	in	in	ADP
ejpam-3440	15	14	each	each	DET
ejpam-3440	15	15	particular	particular	ADJ
ejpam-3440	15	16	case	case	NOUN
ejpam-3440	15	17	.	.	PUNCT
ejpam-3440	16	1	the	the	DET
ejpam-3440	16	2	theory	theory	NOUN
ejpam-3440	16	3	of	of	ADP
ejpam-3440	16	4	intuitionistic	intuitionistic	ADJ
ejpam-3440	16	5	fuzzy	fuzzy	ADJ
ejpam-3440	16	6	sets	set	NOUN
ejpam-3440	16	7	is	be	AUX
ejpam-3440	16	8	a	a	DET
ejpam-3440	16	9	more	more	ADV
ejpam-3440	16	10	generalized	generalized	ADJ
ejpam-3440	16	11	concept	concept	NOUN
ejpam-3440	16	12	than	than	ADP
ejpam-3440	16	13	the	the	DET
ejpam-3440	16	14	theory	theory	NOUN
ejpam-3440	16	15	of	of	ADP
ejpam-3440	16	16	fuzzy	fuzzy	ADJ
ejpam-3440	16	17	sets	set	NOUN
ejpam-3440	16	18	,	,	PUNCT
ejpam-3440	16	19	but	but	CCONJ
ejpam-3440	16	20	this	this	DET
ejpam-3440	16	21	theory	theory	NOUN
ejpam-3440	16	22	has	have	VERB
ejpam-3440	16	23	the	the	DET
ejpam-3440	16	24	same	same	ADJ
ejpam-3440	16	25	difficulties	difficulty	NOUN
ejpam-3440	16	26	.	.	PUNCT
ejpam-3440	17	1	all	all	DET
ejpam-3440	17	2	the	the	DET
ejpam-3440	17	3	above	above	ADV
ejpam-3440	17	4	mentioned	mention	VERB
ejpam-3440	17	5	theories	theory	NOUN
ejpam-3440	17	6	are	be	AUX
ejpam-3440	17	7	successful	successful	ADJ
ejpam-3440	17	8	to	to	ADP
ejpam-3440	17	9	some	some	DET
ejpam-3440	17	10	extent	extent	NOUN
ejpam-3440	17	11	in	in	ADP
ejpam-3440	17	12	dealing	deal	VERB
ejpam-3440	17	13	with	with	ADP
ejpam-3440	17	14	problems	problem	NOUN
ejpam-3440	17	15	arising	arise	VERB
ejpam-3440	17	16	due	due	ADP
ejpam-3440	17	17	to	to	PART
ejpam-3440	17	18	vagueness	vagueness	NOUN
ejpam-3440	17	19	present	present	ADJ
ejpam-3440	17	20	in	in	ADP
ejpam-3440	17	21	the	the	DET
ejpam-3440	17	22	real	real	ADJ
ejpam-3440	17	23	world	world	NOUN
ejpam-3440	17	24	.	.	PUNCT
ejpam-3440	18	1	but	but	CCONJ
ejpam-3440	18	2	there	there	PRON
ejpam-3440	18	3	are	be	VERB
ejpam-3440	18	4	also	also	ADV
ejpam-3440	18	5	cases	case	NOUN
ejpam-3440	18	6	where	where	SCONJ
ejpam-3440	18	7	these	these	DET
ejpam-3440	18	8	theories	theory	NOUN
ejpam-3440	18	9	failed	fail	VERB
ejpam-3440	18	10	to	to	PART
ejpam-3440	18	11	give	give	VERB
ejpam-3440	18	12	satisfactory	satisfactory	ADJ
ejpam-3440	18	13	doi	doi	NOUN
ejpam-3440	18	14	:	:	PUNCT
ejpam-3440	18	15	https://doi.org/10.29020/nybg.ejpam.v12i3.3440	https://doi.org/10.29020/nybg.ejpam.v12i3.3440	ADJ
ejpam-3440	18	16	email	email	NOUN
ejpam-3440	18	17	addresses	address	VERB
ejpam-3440	18	18	:	:	PUNCT
ejpam-3440	18	19	alaa	alaa	PROPN
ejpam-3440	18	20	8560@yahoo.com	8560@yahoo.com	PROPN
ejpam-3440	18	21	,	,	PUNCT
ejpam-3440	18	22	alaa.ali@nbu.edu.sa	alaa.ali@nbu.edu.sa	PROPN
ejpam-3440	18	23	(	(	PUNCT
ejpam-3440	18	24	a.	a.	NOUN
ejpam-3440	18	25	m.	m.	PROPN
ejpam-3440	18	26	abd	abd	PROPN
ejpam-3440	18	27	el	el	PROPN
ejpam-3440	18	28	-	-	PROPN
ejpam-3440	18	29	latif	latif	PROPN
ejpam-3440	18	30	)	)	PUNCT
ejpam-3440	18	31	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3440	19	1	999	999	NUM
ejpam-3440	19	2	c	c	X
ejpam-3440	19	3	©	©	PROPN
ejpam-3440	19	4	2019	2019	NUM
ejpam-3440	19	5	ejpam	ejpam	NOUN
ejpam-3440	19	6	all	all	DET
ejpam-3440	19	7	rights	right	NOUN
ejpam-3440	19	8	reserved	reserve	VERB
ejpam-3440	19	9	.	.	PUNCT
ejpam-3440	20	1	a.	a.	PROPN
ejpam-3440	20	2	m.	m.	PROPN
ejpam-3440	20	3	abd	abd	PROPN
ejpam-3440	20	4	el	el	PROPN
ejpam-3440	20	5	-	-	PROPN
ejpam-3440	20	6	latif	latif	PROPN
ejpam-3440	20	7	/	/	SYM
ejpam-3440	20	8	eur	eur	PROPN
ejpam-3440	20	9	.	.	PUNCT
ejpam-3440	21	1	j.	j.	PROPN
ejpam-3440	21	2	pure	pure	PROPN
ejpam-3440	21	3	appl	appl	PROPN
ejpam-3440	21	4	.	.	PROPN
ejpam-3440	21	5	math	math	PROPN
ejpam-3440	21	6	,	,	PUNCT
ejpam-3440	21	7	12	12	NUM
ejpam-3440	21	8	(	(	PUNCT
ejpam-3440	21	9	3	3	NUM
ejpam-3440	21	10	)	)	PUNCT
ejpam-3440	21	11	(	(	PUNCT
ejpam-3440	21	12	2019	2019	NUM
ejpam-3440	21	13	)	)	PUNCT
ejpam-3440	21	14	,	,	PUNCT
ejpam-3440	21	15	999	999	NUM
ejpam-3440	21	16	-	-	SYM
ejpam-3440	21	17	1017	1017	NUM
ejpam-3440	21	18	1000	1000	NUM
ejpam-3440	21	19	results	result	NOUN
ejpam-3440	21	20	,	,	PUNCT
ejpam-3440	21	21	possibly	possibly	ADV
ejpam-3440	21	22	due	due	ADP
ejpam-3440	21	23	to	to	ADP
ejpam-3440	21	24	inadequacy	inadequacy	NOUN
ejpam-3440	21	25	of	of	ADP
ejpam-3440	21	26	the	the	DET
ejpam-3440	21	27	parametrization	parametrization	NOUN
ejpam-3440	21	28	tool	tool	NOUN
ejpam-3440	21	29	in	in	ADP
ejpam-3440	21	30	them	they	PRON
ejpam-3440	21	31	.	.	PUNCT
ejpam-3440	22	1	as	as	ADP
ejpam-3440	22	2	a	a	DET
ejpam-3440	22	3	necessary	necessary	ADJ
ejpam-3440	22	4	supplement	supplement	NOUN
ejpam-3440	22	5	to	to	ADP
ejpam-3440	22	6	the	the	DET
ejpam-3440	22	7	existing	exist	VERB
ejpam-3440	22	8	mathematical	mathematical	ADJ
ejpam-3440	22	9	tools	tool	NOUN
ejpam-3440	22	10	for	for	ADP
ejpam-3440	22	11	handling	handle	VERB
ejpam-3440	22	12	uncertainty	uncertainty	NOUN
ejpam-3440	22	13	,	,	PUNCT
ejpam-3440	22	14	in	in	ADP
ejpam-3440	22	15	1999	1999	NUM
ejpam-3440	22	16	,	,	PUNCT
ejpam-3440	22	17	molodtsov	molodtsov	NOUN
ejpam-3440	22	18	[	[	X
ejpam-3440	22	19	26	26	NUM
ejpam-3440	22	20	]	]	PUNCT
ejpam-3440	22	21	initiated	initiate	VERB
ejpam-3440	22	22	the	the	DET
ejpam-3440	22	23	theory	theory	NOUN
ejpam-3440	22	24	of	of	ADP
ejpam-3440	22	25	soft	soft	ADJ
ejpam-3440	22	26	sets	set	NOUN
ejpam-3440	22	27	as	as	ADP
ejpam-3440	22	28	a	a	DET
ejpam-3440	22	29	new	new	ADJ
ejpam-3440	22	30	mathematical	mathematical	ADJ
ejpam-3440	22	31	tool	tool	NOUN
ejpam-3440	22	32	to	to	PART
ejpam-3440	22	33	deal	deal	VERB
ejpam-3440	22	34	with	with	ADP
ejpam-3440	22	35	uncertainties	uncertainty	NOUN
ejpam-3440	22	36	while	while	SCONJ
ejpam-3440	22	37	modeling	model	VERB
ejpam-3440	22	38	the	the	DET
ejpam-3440	22	39	problems	problem	NOUN
ejpam-3440	22	40	in	in	ADP
ejpam-3440	22	41	engineering	engineering	NOUN
ejpam-3440	22	42	,	,	PUNCT
ejpam-3440	22	43	physics	physics	NOUN
ejpam-3440	22	44	,	,	PUNCT
ejpam-3440	22	45	computer	computer	NOUN
ejpam-3440	22	46	science	science	NOUN
ejpam-3440	22	47	,	,	PUNCT
ejpam-3440	22	48	economics	economic	NOUN
ejpam-3440	22	49	,	,	PUNCT
ejpam-3440	22	50	social	social	ADJ
ejpam-3440	22	51	sciences	science	NOUN
ejpam-3440	22	52	,	,	PUNCT
ejpam-3440	22	53	and	and	CCONJ
ejpam-3440	22	54	medical	medical	ADJ
ejpam-3440	22	55	sciences	science	NOUN
ejpam-3440	22	56	.	.	PUNCT
ejpam-3440	23	1	in	in	ADP
ejpam-3440	23	2	1968	1968	NUM
ejpam-3440	23	3	,	,	PUNCT
ejpam-3440	23	4	chang	chang	PROPN
ejpam-3440	24	1	[	[	X
ejpam-3440	24	2	14	14	NUM
ejpam-3440	24	3	]	]	PUNCT
ejpam-3440	24	4	introduced	introduce	VERB
ejpam-3440	24	5	fuzzy	fuzzy	ADJ
ejpam-3440	24	6	topological	topological	ADJ
ejpam-3440	24	7	space	space	NOUN
ejpam-3440	24	8	and	and	CCONJ
ejpam-3440	24	9	in	in	ADP
ejpam-3440	24	10	2011	2011	NUM
ejpam-3440	24	11	,	,	PUNCT
ejpam-3440	24	12	subsequently	subsequently	ADV
ejpam-3440	24	13	cagman	cagman	VERB
ejpam-3440	24	14	et	et	PROPN
ejpam-3440	24	15	al	al	PROPN
ejpam-3440	24	16	.	.	PUNCT
ejpam-3440	25	1	[	[	X
ejpam-3440	25	2	13	13	NUM
ejpam-3440	25	3	]	]	PUNCT
ejpam-3440	25	4	and	and	CCONJ
ejpam-3440	25	5	shabir	shabir	PROPN
ejpam-3440	25	6	et	et	PROPN
ejpam-3440	25	7	al	al	PROPN
ejpam-3440	25	8	.	.	PUNCT
ejpam-3440	26	1	[	[	X
ejpam-3440	26	2	31	31	NUM
ejpam-3440	26	3	]	]	PUNCT
ejpam-3440	26	4	introduced	introduce	VERB
ejpam-3440	26	5	soft	soft	ADJ
ejpam-3440	26	6	topological	topological	ADJ
ejpam-3440	26	7	spaces	space	NOUN
ejpam-3440	26	8	and	and	CCONJ
ejpam-3440	26	9	they	they	PRON
ejpam-3440	26	10	defined	define	VERB
ejpam-3440	26	11	basic	basic	ADJ
ejpam-3440	26	12	notions	notion	NOUN
ejpam-3440	26	13	of	of	ADP
ejpam-3440	26	14	soft	soft	ADJ
ejpam-3440	26	15	topological	topological	ADJ
ejpam-3440	26	16	spaces	space	NOUN
ejpam-3440	26	17	.	.	PUNCT
ejpam-3440	27	1	in	in	ADP
ejpam-3440	27	2	2011	2011	NUM
ejpam-3440	27	3	,	,	PUNCT
ejpam-3440	27	4	tanay	tanay	PROPN
ejpam-3440	27	5	et	et	PROPN
ejpam-3440	27	6	al	al	PROPN
ejpam-3440	27	7	.	.	PUNCT
ejpam-3440	28	1	[	[	X
ejpam-3440	28	2	10	10	NUM
ejpam-3440	28	3	]	]	PUNCT
ejpam-3440	28	4	introduced	introduce	VERB
ejpam-3440	28	5	the	the	DET
ejpam-3440	28	6	notion	notion	NOUN
ejpam-3440	28	7	of	of	ADP
ejpam-3440	28	8	fuzzy	fuzzy	ADJ
ejpam-3440	28	9	soft	soft	ADJ
ejpam-3440	28	10	topological	topological	ADJ
ejpam-3440	28	11	spaces	space	NOUN
ejpam-3440	28	12	,	,	PUNCT
ejpam-3440	28	13	which	which	PRON
ejpam-3440	28	14	is	be	AUX
ejpam-3440	28	15	extended	extend	VERB
ejpam-3440	28	16	in	in	ADP
ejpam-3440	28	17	[	[	X
ejpam-3440	28	18	15	15	NUM
ejpam-3440	28	19	,	,	PUNCT
ejpam-3440	28	20	21	21	NUM
ejpam-3440	28	21	,	,	PUNCT
ejpam-3440	28	22	28	28	NUM
ejpam-3440	28	23	,	,	PUNCT
ejpam-3440	28	24	29	29	NUM
ejpam-3440	28	25	]	]	PUNCT
ejpam-3440	28	26	.	.	PUNCT
ejpam-3440	29	1	recently	recently	ADV
ejpam-3440	29	2	,	,	PUNCT
ejpam-3440	29	3	some	some	DET
ejpam-3440	29	4	researchers	researcher	NOUN
ejpam-3440	29	5	[	[	X
ejpam-3440	29	6	11	11	NUM
ejpam-3440	29	7	,	,	PUNCT
ejpam-3440	29	8	12	12	NUM
ejpam-3440	29	9	,	,	PUNCT
ejpam-3440	29	10	17	17	NUM
ejpam-3440	29	11	,	,	PUNCT
ejpam-3440	29	12	24	24	NUM
ejpam-3440	29	13	,	,	PUNCT
ejpam-3440	29	14	27	27	NUM
ejpam-3440	29	15	,	,	PUNCT
ejpam-3440	29	16	30	30	NUM
ejpam-3440	29	17	]	]	PUNCT
ejpam-3440	29	18	studied	study	VERB
ejpam-3440	29	19	on	on	ADP
ejpam-3440	29	20	the	the	DET
ejpam-3440	29	21	fuzzy	fuzzy	ADJ
ejpam-3440	29	22	soft	soft	ADJ
ejpam-3440	29	23	compact	compact	ADJ
ejpam-3440	29	24	topological	topological	ADJ
ejpam-3440	29	25	spaces	space	NOUN
ejpam-3440	29	26	.	.	PUNCT
ejpam-3440	30	1	in	in	ADP
ejpam-3440	30	2	1984	1984	NUM
ejpam-3440	30	3	,	,	PUNCT
ejpam-3440	30	4	mashhour	mashhour	PROPN
ejpam-3440	30	5	et	et	PROPN
ejpam-3440	30	6	al	al	PROPN
ejpam-3440	30	7	.	.	PUNCT
ejpam-3440	31	1	[	[	X
ejpam-3440	31	2	25	25	NUM
ejpam-3440	31	3	]	]	PUNCT
ejpam-3440	31	4	introduced	introduce	VERB
ejpam-3440	31	5	supra	supra	PROPN
ejpam-3440	31	6	topological	topological	ADJ
ejpam-3440	31	7	space	space	NOUN
ejpam-3440	31	8	,	,	PUNCT
ejpam-3440	31	9	subsequently	subsequently	ADV
ejpam-3440	31	10	elsheikh	elsheikh	VERB
ejpam-3440	31	11	et	et	PROPN
ejpam-3440	31	12	al	al	PROPN
ejpam-3440	31	13	.	.	PUNCT
ejpam-3440	32	1	[	[	X
ejpam-3440	32	2	16	16	NUM
ejpam-3440	32	3	]	]	PUNCT
ejpam-3440	32	4	introduced	introduce	VERB
ejpam-3440	32	5	supra	supra	PROPN
ejpam-3440	32	6	soft	soft	ADJ
ejpam-3440	32	7	topological	topological	ADJ
ejpam-3440	32	8	spaces	space	NOUN
ejpam-3440	32	9	and	and	CCONJ
ejpam-3440	32	10	they	they	PRON
ejpam-3440	32	11	defined	define	VERB
ejpam-3440	32	12	basic	basic	ADJ
ejpam-3440	32	13	notions	notion	NOUN
ejpam-3440	32	14	of	of	ADP
ejpam-3440	32	15	supra	supra	PROPN
ejpam-3440	32	16	soft	soft	ADJ
ejpam-3440	32	17	topological	topological	ADJ
ejpam-3440	32	18	spaces	space	NOUN
ejpam-3440	32	19	,	,	PUNCT
ejpam-3440	32	20	which	which	PRON
ejpam-3440	32	21	is	be	AUX
ejpam-3440	32	22	extended	extend	VERB
ejpam-3440	32	23	in	in	ADP
ejpam-3440	32	24	[	[	X
ejpam-3440	32	25	4	4	NUM
ejpam-3440	32	26	,	,	PUNCT
ejpam-3440	32	27	5	5	NUM
ejpam-3440	32	28	,	,	PUNCT
ejpam-3440	32	29	20	20	NUM
ejpam-3440	32	30	]	]	PUNCT
ejpam-3440	32	31	.	.	PUNCT
ejpam-3440	33	1	in	in	ADP
ejpam-3440	33	2	1987	1987	NUM
ejpam-3440	33	3	,	,	PUNCT
ejpam-3440	33	4	abd	abd	PROPN
ejpam-3440	33	5	el	el	PROPN
ejpam-3440	33	6	-	-	PROPN
ejpam-3440	33	7	monsef	monsef	PROPN
ejpam-3440	33	8	et	et	PROPN
ejpam-3440	33	9	al	al	PROPN
ejpam-3440	33	10	.	.	PROPN
ejpam-3440	33	11	introduced	introduce	VERB
ejpam-3440	33	12	fuzzy	fuzzy	ADJ
ejpam-3440	33	13	supra	supra	PROPN
ejpam-3440	33	14	topological	topological	ADJ
ejpam-3440	33	15	space	space	NOUN
ejpam-3440	33	16	and	and	CCONJ
ejpam-3440	33	17	defined	define	VERB
ejpam-3440	33	18	basic	basic	ADJ
ejpam-3440	33	19	notions	notion	NOUN
ejpam-3440	33	20	of	of	ADP
ejpam-3440	33	21	fuzzy	fuzzy	ADJ
ejpam-3440	33	22	supra	supra	PROPN
ejpam-3440	33	23	topological	topological	ADJ
ejpam-3440	33	24	spaces	space	NOUN
ejpam-3440	33	25	.	.	PUNCT
ejpam-3440	34	1	our	our	PRON
ejpam-3440	34	2	aim	aim	NOUN
ejpam-3440	34	3	of	of	ADP
ejpam-3440	34	4	this	this	DET
ejpam-3440	34	5	paper	paper	NOUN
ejpam-3440	34	6	,	,	PUNCT
ejpam-3440	34	7	is	be	AUX
ejpam-3440	34	8	to	to	PART
ejpam-3440	34	9	introduce	introduce	VERB
ejpam-3440	34	10	the	the	DET
ejpam-3440	34	11	notion	notion	NOUN
ejpam-3440	34	12	of	of	ADP
ejpam-3440	34	13	fuzzy	fuzzy	ADJ
ejpam-3440	34	14	supra	supra	PROPN
ejpam-3440	34	15	soft	soft	ADJ
ejpam-3440	34	16	topological	topological	ADJ
ejpam-3440	34	17	spaces	space	NOUN
ejpam-3440	34	18	,	,	PUNCT
ejpam-3440	34	19	which	which	PRON
ejpam-3440	34	20	is	be	AUX
ejpam-3440	34	21	a	a	DET
ejpam-3440	34	22	generalization	generalization	NOUN
ejpam-3440	34	23	to	to	ADP
ejpam-3440	34	24	the	the	DET
ejpam-3440	34	25	notion	notion	NOUN
ejpam-3440	34	26	of	of	ADP
ejpam-3440	34	27	fuzzy	fuzzy	ADJ
ejpam-3440	34	28	soft	soft	ADJ
ejpam-3440	34	29	topological	topological	ADJ
ejpam-3440	34	30	spaces	space	NOUN
ejpam-3440	34	31	[	[	X
ejpam-3440	34	32	21	21	NUM
ejpam-3440	34	33	]	]	PUNCT
ejpam-3440	34	34	and	and	CCONJ
ejpam-3440	34	35	supra	supra	PROPN
ejpam-3440	34	36	soft	soft	ADJ
ejpam-3440	34	37	topological	topological	ADJ
ejpam-3440	34	38	spaces	space	NOUN
ejpam-3440	34	39	[	[	X
ejpam-3440	34	40	16	16	NUM
ejpam-3440	34	41	]	]	PUNCT
ejpam-3440	34	42	.	.	PUNCT
ejpam-3440	35	1	also	also	ADV
ejpam-3440	35	2	,	,	PUNCT
ejpam-3440	35	3	we	we	PRON
ejpam-3440	35	4	consider	consider	VERB
ejpam-3440	35	5	the	the	DET
ejpam-3440	35	6	notion	notion	NOUN
ejpam-3440	35	7	of	of	ADP
ejpam-3440	35	8	fuzzy	fuzzy	ADJ
ejpam-3440	35	9	supra	supra	PROPN
ejpam-3440	35	10	soft	soft	ADJ
ejpam-3440	35	11	continuity	continuity	NOUN
ejpam-3440	35	12	as	as	ADP
ejpam-3440	35	13	a	a	DET
ejpam-3440	35	14	generalization	generalization	NOUN
ejpam-3440	35	15	to	to	ADP
ejpam-3440	35	16	fuzzy	fuzzy	ADJ
ejpam-3440	35	17	soft	soft	ADJ
ejpam-3440	35	18	continuity	continuity	NOUN
ejpam-3440	35	19	[	[	X
ejpam-3440	35	20	8	8	NUM
ejpam-3440	35	21	]	]	PUNCT
ejpam-3440	35	22	,	,	PUNCT
ejpam-3440	35	23	fuzzy	fuzzy	ADJ
ejpam-3440	35	24	semi	semi	ADJ
ejpam-3440	35	25	-	-	ADJ
ejpam-3440	35	26	soft	soft	ADJ
ejpam-3440	35	27	continuity	continuity	NOUN
ejpam-3440	35	28	[	[	X
ejpam-3440	35	29	19	19	NUM
ejpam-3440	35	30	]	]	PUNCT
ejpam-3440	35	31	,	,	PUNCT
ejpam-3440	35	32	fuzzy	fuzzy	ADJ
ejpam-3440	35	33	presoft	presoft	ADJ
ejpam-3440	35	34	continuity	continuity	NOUN
ejpam-3440	36	1	[	[	X
ejpam-3440	36	2	1	1	NUM
ejpam-3440	36	3	]	]	PUNCT
ejpam-3440	36	4	,	,	PUNCT
ejpam-3440	36	5	fuzzy	fuzzy	ADJ
ejpam-3440	36	6	α	α	NOUN
ejpam-3440	36	7	-	-	PUNCT
ejpam-3440	36	8	soft	soft	ADJ
ejpam-3440	36	9	continuity	continuity	NOUN
ejpam-3440	36	10	[	[	X
ejpam-3440	36	11	2	2	NUM
ejpam-3440	36	12	]	]	PUNCT
ejpam-3440	36	13	,	,	PUNCT
ejpam-3440	36	14	fuzzy	fuzzy	ADJ
ejpam-3440	36	15	β	β	NOUN
ejpam-3440	36	16	-	-	ADJ
ejpam-3440	36	17	soft	soft	ADJ
ejpam-3440	36	18	continuity	continuity	NOUN
ejpam-3440	36	19	[	[	X
ejpam-3440	36	20	3	3	NUM
ejpam-3440	36	21	]	]	PUNCT
ejpam-3440	36	22	and	and	CCONJ
ejpam-3440	36	23	fuzzy	fuzzy	ADJ
ejpam-3440	36	24	b	b	X
ejpam-3440	36	25	-	-	PUNCT
ejpam-3440	36	26	soft	soft	ADJ
ejpam-3440	36	27	continuity	continuity	NOUN
ejpam-3440	36	28	[	[	X
ejpam-3440	36	29	6	6	NUM
ejpam-3440	36	30	]	]	PUNCT
ejpam-3440	36	31	,	,	PUNCT
ejpam-3440	36	32	supported	support	VERB
ejpam-3440	36	33	by	by	ADP
ejpam-3440	36	34	examples	example	NOUN
ejpam-3440	36	35	and	and	CCONJ
ejpam-3440	36	36	counterexamples	counterexample	NOUN
ejpam-3440	36	37	.	.	PUNCT
ejpam-3440	37	1	we	we	PRON
ejpam-3440	37	2	also	also	ADV
ejpam-3440	37	3	introduce	introduce	VERB
ejpam-3440	37	4	and	and	CCONJ
ejpam-3440	37	5	study	study	VERB
ejpam-3440	37	6	the	the	DET
ejpam-3440	37	7	concepts	concept	NOUN
ejpam-3440	37	8	of	of	ADP
ejpam-3440	37	9	fuzzy	fuzzy	ADJ
ejpam-3440	37	10	supra	supra	PROPN
ejpam-3440	37	11	open	open	ADJ
ejpam-3440	37	12	(	(	PUNCT
ejpam-3440	37	13	resp	resp	NOUN
ejpam-3440	37	14	.	.	PUNCT
ejpam-3440	38	1	closed	closed	ADJ
ejpam-3440	38	2	)	)	PUNCT
ejpam-3440	38	3	soft	soft	ADJ
ejpam-3440	38	4	functions	function	NOUN
ejpam-3440	38	5	a	a	DET
ejpam-3440	38	6	generalization	generalization	NOUN
ejpam-3440	38	7	to	to	ADP
ejpam-3440	38	8	fuzzy	fuzzy	ADJ
ejpam-3440	38	9	open	open	ADJ
ejpam-3440	38	10	(	(	PUNCT
ejpam-3440	38	11	resp	resp	NOUN
ejpam-3440	38	12	.	.	PUNCT
ejpam-3440	39	1	closed	closed	ADJ
ejpam-3440	39	2	)	)	PUNCT
ejpam-3440	39	3	soft	soft	ADJ
ejpam-3440	39	4	functions	function	NOUN
ejpam-3440	39	5	[	[	X
ejpam-3440	39	6	30	30	NUM
ejpam-3440	39	7	]	]	PUNCT
ejpam-3440	39	8	.	.	PUNCT
ejpam-3440	40	1	finally	finally	ADV
ejpam-3440	40	2	,	,	PUNCT
ejpam-3440	40	3	we	we	PRON
ejpam-3440	40	4	introduce	introduce	VERB
ejpam-3440	40	5	the	the	DET
ejpam-3440	40	6	notion	notion	NOUN
ejpam-3440	40	7	of	of	ADP
ejpam-3440	40	8	fuzzy	fuzzy	ADJ
ejpam-3440	40	9	supra	supra	PROPN
ejpam-3440	40	10	soft	soft	ADJ
ejpam-3440	40	11	compact	compact	ADJ
ejpam-3440	40	12	(	(	PUNCT
ejpam-3440	40	13	resp	resp	NOUN
ejpam-3440	40	14	.	.	PUNCT
ejpam-3440	41	1	fuzzy	fuzzy	ADJ
ejpam-3440	41	2	supra	supra	PROPN
ejpam-3440	41	3	soft	soft	ADJ
ejpam-3440	41	4	lindelöf	lindelöf	NOUN
ejpam-3440	41	5	)	)	PUNCT
ejpam-3440	41	6	spaces	space	NOUN
ejpam-3440	41	7	as	as	ADP
ejpam-3440	41	8	a	a	DET
ejpam-3440	41	9	generalization	generalization	NOUN
ejpam-3440	41	10	to	to	ADP
ejpam-3440	41	11	such	such	ADJ
ejpam-3440	41	12	introduced	introduce	VERB
ejpam-3440	41	13	in	in	ADP
ejpam-3440	41	14	[	[	X
ejpam-3440	41	15	11	11	NUM
ejpam-3440	41	16	,	,	PUNCT
ejpam-3440	41	17	12	12	NUM
ejpam-3440	41	18	,	,	PUNCT
ejpam-3440	41	19	17	17	NUM
ejpam-3440	41	20	,	,	PUNCT
ejpam-3440	41	21	24	24	NUM
ejpam-3440	41	22	,	,	PUNCT
ejpam-3440	41	23	27	27	NUM
ejpam-3440	41	24	,	,	PUNCT
ejpam-3440	41	25	30	30	NUM
ejpam-3440	41	26	]	]	PUNCT
ejpam-3440	41	27	.	.	PUNCT
ejpam-3440	42	1	we	we	PRON
ejpam-3440	42	2	also	also	ADV
ejpam-3440	42	3	introduce	introduce	VERB
ejpam-3440	42	4	some	some	DET
ejpam-3440	42	5	basic	basic	ADJ
ejpam-3440	42	6	definitions	definition	NOUN
ejpam-3440	42	7	of	of	ADP
ejpam-3440	42	8	fuzzy	fuzzy	ADJ
ejpam-3440	42	9	supra	supra	PROPN
ejpam-3440	42	10	soft	soft	ADJ
ejpam-3440	42	11	compact	compact	ADJ
ejpam-3440	42	12	spaces	space	NOUN
ejpam-3440	42	13	and	and	CCONJ
ejpam-3440	42	14	theorems	theorem	NOUN
ejpam-3440	42	15	of	of	ADP
ejpam-3440	42	16	the	the	DET
ejpam-3440	42	17	concept	concept	NOUN
ejpam-3440	42	18	.	.	PUNCT
ejpam-3440	43	1	2	2	X
ejpam-3440	43	2	.	.	X
ejpam-3440	43	3	preliminaries	preliminary	NOUN
ejpam-3440	43	4	from	from	ADP
ejpam-3440	43	5	the	the	DET
ejpam-3440	43	6	literature	literature	NOUN
ejpam-3440	43	7	,	,	PUNCT
ejpam-3440	43	8	we	we	PRON
ejpam-3440	43	9	recall	recall	VERB
ejpam-3440	43	10	the	the	DET
ejpam-3440	43	11	following	follow	VERB
ejpam-3440	43	12	definitions	definition	NOUN
ejpam-3440	43	13	and	and	CCONJ
ejpam-3440	43	14	results	result	NOUN
ejpam-3440	43	15	for	for	ADP
ejpam-3440	43	16	the	the	DET
ejpam-3440	43	17	development	development	NOUN
ejpam-3440	43	18	of	of	ADP
ejpam-3440	43	19	fuzzy	fuzzy	ADJ
ejpam-3440	43	20	soft	soft	ADJ
ejpam-3440	43	21	set	set	NOUN
ejpam-3440	43	22	theory	theory	NOUN
ejpam-3440	43	23	and	and	CCONJ
ejpam-3440	43	24	fuzzy	fuzzy	ADJ
ejpam-3440	43	25	soft	soft	ADJ
ejpam-3440	43	26	topological	topological	ADJ
ejpam-3440	43	27	spaces	space	NOUN
ejpam-3440	43	28	,	,	PUNCT
ejpam-3440	43	29	which	which	PRON
ejpam-3440	43	30	will	will	AUX
ejpam-3440	43	31	be	be	AUX
ejpam-3440	43	32	needed	need	VERB
ejpam-3440	43	33	in	in	ADP
ejpam-3440	43	34	this	this	DET
ejpam-3440	43	35	paper	paper	NOUN
ejpam-3440	43	36	.	.	PUNCT
ejpam-3440	44	1	definition	definition	NOUN
ejpam-3440	44	2	1	1	NUM
ejpam-3440	44	3	.	.	PUNCT
ejpam-3440	45	1	[	[	X
ejpam-3440	45	2	32	32	NUM
ejpam-3440	45	3	]	]	PUNCT
ejpam-3440	45	4	a	a	DET
ejpam-3440	45	5	fuzzy	fuzzy	ADJ
ejpam-3440	45	6	set	set	VERB
ejpam-3440	45	7	a	a	PRON
ejpam-3440	45	8	in	in	ADP
ejpam-3440	45	9	a	a	DET
ejpam-3440	45	10	non	non	ADJ
ejpam-3440	45	11	-	-	ADJ
ejpam-3440	45	12	empty	empty	ADJ
ejpam-3440	45	13	set	set	NOUN
ejpam-3440	45	14	x	x	PUNCT
ejpam-3440	45	15	is	be	AUX
ejpam-3440	45	16	characterized	characterize	VERB
ejpam-3440	45	17	by	by	ADP
ejpam-3440	45	18	a	a	DET
ejpam-3440	45	19	membership	membership	NOUN
ejpam-3440	45	20	function	function	NOUN
ejpam-3440	45	21	µa	µa	NOUN
ejpam-3440	45	22	:	:	PUNCT
ejpam-3440	45	23	x	x	PUNCT
ejpam-3440	46	1	−→	−→	NOUN
ejpam-3440	46	2	[	[	X
ejpam-3440	46	3	0	0	NUM
ejpam-3440	46	4	,	,	PUNCT
ejpam-3440	46	5	1	1	NUM
ejpam-3440	46	6	]	]	PUNCT
ejpam-3440	46	7	=	=	PUNCT
ejpam-3440	46	8	i	i	PRON
ejpam-3440	46	9	whose	whose	DET
ejpam-3440	46	10	value	value	NOUN
ejpam-3440	46	11	µa(x	µa(x	PUNCT
ejpam-3440	46	12	)	)	PUNCT
ejpam-3440	46	13	represents	represent	VERB
ejpam-3440	46	14	the	the	DET
ejpam-3440	46	15	”	"	PUNCT
ejpam-3440	46	16	degree	degree	NOUN
ejpam-3440	46	17	of	of	ADP
ejpam-3440	46	18	membership	membership	NOUN
ejpam-3440	46	19	”	"	PUNCT
ejpam-3440	46	20	of	of	ADP
ejpam-3440	46	21	x	x	PRON
ejpam-3440	46	22	in	in	ADP
ejpam-3440	46	23	a	a	PRON
ejpam-3440	46	24	for	for	ADP
ejpam-3440	46	25	x	x	PROPN
ejpam-3440	46	26	∈	∈	PROPN
ejpam-3440	46	27	x.	x.	NOUN
ejpam-3440	46	28	here	here	ADV
ejpam-3440	46	29	,	,	PUNCT
ejpam-3440	46	30	ix	ix	PROPN
ejpam-3440	46	31	denotes	denote	VERB
ejpam-3440	46	32	the	the	DET
ejpam-3440	46	33	family	family	NOUN
ejpam-3440	46	34	of	of	ADP
ejpam-3440	46	35	all	all	DET
ejpam-3440	46	36	fuzzy	fuzzy	ADJ
ejpam-3440	46	37	sets	set	NOUN
ejpam-3440	46	38	on	on	ADP
ejpam-3440	46	39	x.	x.	NOUN
ejpam-3440	46	40	definition	definition	NOUN
ejpam-3440	46	41	2	2	NUM
ejpam-3440	46	42	.	.	PUNCT
ejpam-3440	47	1	[	[	X
ejpam-3440	47	2	26	26	NUM
ejpam-3440	47	3	]	]	PUNCT
ejpam-3440	47	4	let	let	VERB
ejpam-3440	47	5	x	x	PRON
ejpam-3440	47	6	be	be	AUX
ejpam-3440	47	7	an	an	DET
ejpam-3440	47	8	initial	initial	ADJ
ejpam-3440	47	9	universe	universe	NOUN
ejpam-3440	47	10	and	and	CCONJ
ejpam-3440	47	11	e	e	NOUN
ejpam-3440	47	12	be	be	AUX
ejpam-3440	47	13	a	a	DET
ejpam-3440	47	14	set	set	NOUN
ejpam-3440	47	15	of	of	ADP
ejpam-3440	47	16	parameters	parameter	NOUN
ejpam-3440	47	17	.	.	PUNCT
ejpam-3440	48	1	let	let	VERB
ejpam-3440	48	2	p	p	NOUN
ejpam-3440	48	3	(	(	PUNCT
ejpam-3440	48	4	x	x	NOUN
ejpam-3440	48	5	)	)	PUNCT
ejpam-3440	48	6	denote	denote	VERB
ejpam-3440	48	7	the	the	DET
ejpam-3440	48	8	power	power	NOUN
ejpam-3440	48	9	set	set	NOUN
ejpam-3440	48	10	of	of	ADP
ejpam-3440	48	11	x	x	PROPN
ejpam-3440	48	12	and	and	CCONJ
ejpam-3440	48	13	a	a	DET
ejpam-3440	48	14	be	be	AUX
ejpam-3440	48	15	a	a	DET
ejpam-3440	48	16	non	non	ADJ
ejpam-3440	48	17	-	-	ADJ
ejpam-3440	48	18	empty	empty	ADJ
ejpam-3440	48	19	subset	subset	NOUN
ejpam-3440	48	20	of	of	ADP
ejpam-3440	48	21	e.	e.	PROPN
ejpam-3440	48	22	a	a	DET
ejpam-3440	48	23	pair	pair	NOUN
ejpam-3440	48	24	(	(	PUNCT
ejpam-3440	48	25	f	f	X
ejpam-3440	48	26	,	,	PUNCT
ejpam-3440	48	27	a	a	PRON
ejpam-3440	48	28	)	)	PUNCT
ejpam-3440	48	29	,	,	PUNCT
ejpam-3440	48	30	denoted	denote	VERB
ejpam-3440	48	31	by	by	ADP
ejpam-3440	48	32	fa	fa	PROPN
ejpam-3440	48	33	,	,	PUNCT
ejpam-3440	48	34	is	be	AUX
ejpam-3440	48	35	called	call	VERB
ejpam-3440	48	36	a	a	DET
ejpam-3440	48	37	soft	soft	ADJ
ejpam-3440	48	38	set	set	NOUN
ejpam-3440	48	39	over	over	ADP
ejpam-3440	48	40	x	x	PUNCT
ejpam-3440	48	41	,	,	PUNCT
ejpam-3440	48	42	where	where	SCONJ
ejpam-3440	48	43	f	f	PROPN
ejpam-3440	48	44	is	be	AUX
ejpam-3440	48	45	a	a	DET
ejpam-3440	48	46	mapping	mapping	NOUN
ejpam-3440	48	47	given	give	VERB
ejpam-3440	48	48	by	by	ADP
ejpam-3440	48	49	f	f	PROPN
ejpam-3440	48	50	:	:	PUNCT
ejpam-3440	48	51	a	a	PRON
ejpam-3440	48	52	→	→	X
ejpam-3440	48	53	p	p	X
ejpam-3440	48	54	(	(	PUNCT
ejpam-3440	48	55	x	x	NOUN
ejpam-3440	48	56	)	)	PUNCT
ejpam-3440	48	57	.	.	PUNCT
ejpam-3440	49	1	for	for	ADP
ejpam-3440	49	2	a	a	DET
ejpam-3440	49	3	particular	particular	ADJ
ejpam-3440	49	4	e	e	X
ejpam-3440	49	5	∈	∈	PROPN
ejpam-3440	49	6	a	a	DET
ejpam-3440	49	7	,	,	PUNCT
ejpam-3440	49	8	f	f	PROPN
ejpam-3440	49	9	(	(	PUNCT
ejpam-3440	49	10	e	e	NOUN
ejpam-3440	49	11	)	)	PUNCT
ejpam-3440	49	12	may	may	AUX
ejpam-3440	49	13	be	be	AUX
ejpam-3440	49	14	considered	consider	VERB
ejpam-3440	49	15	the	the	DET
ejpam-3440	49	16	set	set	NOUN
ejpam-3440	49	17	of	of	ADP
ejpam-3440	49	18	e	e	NOUN
ejpam-3440	49	19	-	-	ADJ
ejpam-3440	49	20	approximate	approximate	ADJ
ejpam-3440	49	21	elements	element	NOUN
ejpam-3440	49	22	of	of	ADP
ejpam-3440	49	23	the	the	DET
ejpam-3440	49	24	soft	soft	ADJ
ejpam-3440	49	25	set	set	NOUN
ejpam-3440	49	26	(	(	PUNCT
ejpam-3440	49	27	f	f	X
ejpam-3440	49	28	,	,	PUNCT
ejpam-3440	49	29	a	a	PRON
ejpam-3440	49	30	)	)	PUNCT
ejpam-3440	49	31	and	and	CCONJ
ejpam-3440	49	32	if	if	SCONJ
ejpam-3440	49	33	e	e	PROPN
ejpam-3440	49	34	6∈	6∈	PROPN
ejpam-3440	49	35	a	a	X
ejpam-3440	49	36	,	,	PUNCT
ejpam-3440	49	37	then	then	ADV
ejpam-3440	49	38	f	f	X
ejpam-3440	49	39	(	(	PUNCT
ejpam-3440	49	40	e	e	NOUN
ejpam-3440	49	41	)	)	PUNCT
ejpam-3440	49	42	=	=	PUNCT
ejpam-3440	50	1	φ	φ	NUM
ejpam-3440	50	2	i.e	i.e	X
ejpam-3440	50	3	fa	fa	INTJ
ejpam-3440	51	1	=	=	SYM
ejpam-3440	51	2	{	{	PUNCT
ejpam-3440	51	3	(	(	PUNCT
ejpam-3440	51	4	e	e	NOUN
ejpam-3440	51	5	,	,	PUNCT
ejpam-3440	51	6	f	f	PROPN
ejpam-3440	51	7	(	(	PUNCT
ejpam-3440	51	8	e	e	NOUN
ejpam-3440	51	9	)	)	PUNCT
ejpam-3440	51	10	)	)	PUNCT
ejpam-3440	51	11	:	:	PUNCT
ejpam-3440	52	1	e	e	X
ejpam-3440	52	2	∈	∈	PROPN
ejpam-3440	52	3	a	a	DET
ejpam-3440	52	4	⊆	⊆	NUM
ejpam-3440	52	5	e	e	NOUN
ejpam-3440	52	6	,	,	PUNCT
ejpam-3440	52	7	f	f	X
ejpam-3440	52	8	:	:	PUNCT
ejpam-3440	52	9	a	a	DET
ejpam-3440	52	10	→	→	X
ejpam-3440	52	11	p	p	X
ejpam-3440	52	12	(	(	PUNCT
ejpam-3440	52	13	x	x	NOUN
ejpam-3440	52	14	)	)	PUNCT
ejpam-3440	52	15	}	}	PUNCT
ejpam-3440	52	16	.	.	PUNCT
ejpam-3440	53	1	the	the	DET
ejpam-3440	53	2	family	family	NOUN
ejpam-3440	53	3	of	of	ADP
ejpam-3440	53	4	all	all	DET
ejpam-3440	53	5	these	these	DET
ejpam-3440	53	6	soft	soft	ADJ
ejpam-3440	53	7	sets	set	NOUN
ejpam-3440	53	8	over	over	ADP
ejpam-3440	53	9	x	x	PUNCT
ejpam-3440	53	10	denoted	denote	VERB
ejpam-3440	53	11	by	by	ADP
ejpam-3440	53	12	ss(x)a	ss(x)a	PROPN
ejpam-3440	53	13	.	.	PUNCT
ejpam-3440	53	14	a.	a.	PROPN
ejpam-3440	53	15	m.	m.	PROPN
ejpam-3440	53	16	abd	abd	PROPN
ejpam-3440	53	17	el	el	PROPN
ejpam-3440	53	18	-	-	PROPN
ejpam-3440	53	19	latif	latif	PROPN
ejpam-3440	53	20	/	/	SYM
ejpam-3440	53	21	eur	eur	PROPN
ejpam-3440	53	22	.	.	PUNCT
ejpam-3440	54	1	j.	j.	PROPN
ejpam-3440	54	2	pure	pure	PROPN
ejpam-3440	54	3	appl	appl	PROPN
ejpam-3440	54	4	.	.	PROPN
ejpam-3440	54	5	math	math	PROPN
ejpam-3440	54	6	,	,	PUNCT
ejpam-3440	54	7	12	12	NUM
ejpam-3440	54	8	(	(	PUNCT
ejpam-3440	54	9	3	3	NUM
ejpam-3440	54	10	)	)	PUNCT
ejpam-3440	54	11	(	(	PUNCT
ejpam-3440	54	12	2019	2019	NUM
ejpam-3440	54	13	)	)	PUNCT
ejpam-3440	54	14	,	,	PUNCT
ejpam-3440	54	15	999	999	NUM
ejpam-3440	54	16	-	-	SYM
ejpam-3440	54	17	1017	1017	NUM
ejpam-3440	54	18	1001	1001	NUM
ejpam-3440	54	19	definition	definition	NOUN
ejpam-3440	54	20	3	3	NUM
ejpam-3440	54	21	.	.	PUNCT
ejpam-3440	55	1	[	[	X
ejpam-3440	55	2	22	22	NUM
ejpam-3440	55	3	]	]	PUNCT
ejpam-3440	55	4	let	let	VERB
ejpam-3440	55	5	a	a	DET
ejpam-3440	55	6	⊆	⊆	NUM
ejpam-3440	55	7	e.	e.	PROPN
ejpam-3440	55	8	a	a	DET
ejpam-3440	55	9	pair	pair	NOUN
ejpam-3440	55	10	(	(	PUNCT
ejpam-3440	55	11	f	f	X
ejpam-3440	55	12	,	,	PUNCT
ejpam-3440	55	13	a	a	PRON
ejpam-3440	55	14	)	)	PUNCT
ejpam-3440	55	15	,	,	PUNCT
ejpam-3440	55	16	denoted	denote	VERB
ejpam-3440	55	17	by	by	ADP
ejpam-3440	55	18	fa	fa	PROPN
ejpam-3440	55	19	,	,	PUNCT
ejpam-3440	55	20	is	be	AUX
ejpam-3440	55	21	called	call	VERB
ejpam-3440	55	22	a	a	DET
ejpam-3440	55	23	fuzzy	fuzzy	ADJ
ejpam-3440	55	24	soft	soft	ADJ
ejpam-3440	55	25	set	set	NOUN
ejpam-3440	55	26	over	over	ADP
ejpam-3440	55	27	x	x	PUNCT
ejpam-3440	55	28	,	,	PUNCT
ejpam-3440	55	29	where	where	SCONJ
ejpam-3440	55	30	f	f	PROPN
ejpam-3440	55	31	is	be	AUX
ejpam-3440	55	32	a	a	DET
ejpam-3440	55	33	mapping	mapping	NOUN
ejpam-3440	55	34	given	give	VERB
ejpam-3440	55	35	by	by	ADP
ejpam-3440	55	36	f	f	PROPN
ejpam-3440	55	37	:	:	PUNCT
ejpam-3440	55	38	a	a	PRON
ejpam-3440	55	39	→	→	PUNCT
ejpam-3440	55	40	ix	ix	ADV
ejpam-3440	55	41	defined	define	VERB
ejpam-3440	55	42	by	by	ADP
ejpam-3440	55	43	fa(e	fa(e	NOUN
ejpam-3440	55	44	)	)	PUNCT
ejpam-3440	56	1	=	=	NOUN
ejpam-3440	56	2	µefa	µefa	NOUN
ejpam-3440	56	3	where	where	SCONJ
ejpam-3440	56	4	µefa	µefa	PROPN
ejpam-3440	56	5	=	=	SYM
ejpam-3440	56	6	0	0	PUNCT
ejpam-3440	57	1	if	if	SCONJ
ejpam-3440	57	2	e	e	PROPN
ejpam-3440	57	3	6∈	6∈	PROPN
ejpam-3440	57	4	a	a	PRON
ejpam-3440	57	5	and	and	CCONJ
ejpam-3440	57	6	µefa	µefa	NOUN
ejpam-3440	57	7	6=	6=	SYM
ejpam-3440	57	8	0	0	PUNCT
ejpam-3440	58	1	if	if	SCONJ
ejpam-3440	58	2	e	e	PROPN
ejpam-3440	58	3	∈	∈	PROPN
ejpam-3440	58	4	a	a	PRON
ejpam-3440	58	5	,	,	PUNCT
ejpam-3440	58	6	where	where	SCONJ
ejpam-3440	58	7	0	0	NUM
ejpam-3440	58	8	is	be	AUX
ejpam-3440	58	9	the	the	DET
ejpam-3440	58	10	membership	membership	NOUN
ejpam-3440	58	11	function	function	NOUN
ejpam-3440	58	12	of	of	ADP
ejpam-3440	58	13	null	null	ADJ
ejpam-3440	58	14	fuzzy	fuzzy	ADJ
ejpam-3440	58	15	set	set	VERB
ejpam-3440	58	16	over	over	ADP
ejpam-3440	58	17	x	x	NOUN
ejpam-3440	58	18	,	,	PUNCT
ejpam-3440	58	19	which	which	PRON
ejpam-3440	58	20	takes	take	VERB
ejpam-3440	58	21	value	value	NOUN
ejpam-3440	58	22	0	0	NUM
ejpam-3440	58	23	for	for	ADP
ejpam-3440	58	24	all	all	DET
ejpam-3440	58	25	x	x	SYM
ejpam-3440	58	26	∈	∈	PROPN
ejpam-3440	58	27	x	x	X
ejpam-3440	58	28	i.e	i.e	PRON
ejpam-3440	58	29	0(e	0(e	NUM
ejpam-3440	58	30	)	)	PUNCT
ejpam-3440	59	1	=	=	SYM
ejpam-3440	59	2	0	0	NUM
ejpam-3440	59	3	∀	∀	NOUN
ejpam-3440	59	4	x	x	SYM
ejpam-3440	59	5	∈	∈	NOUN
ejpam-3440	59	6	x.	x.	NOUN
ejpam-3440	59	7	the	the	DET
ejpam-3440	59	8	family	family	NOUN
ejpam-3440	59	9	of	of	ADP
ejpam-3440	59	10	all	all	DET
ejpam-3440	59	11	these	these	DET
ejpam-3440	59	12	fuzzy	fuzzy	ADJ
ejpam-3440	59	13	soft	soft	ADJ
ejpam-3440	59	14	sets	set	NOUN
ejpam-3440	59	15	over	over	ADP
ejpam-3440	59	16	x	x	PUNCT
ejpam-3440	59	17	denoted	denote	VERB
ejpam-3440	59	18	by	by	ADP
ejpam-3440	59	19	fss(x)a	fss(x)a	VERB
ejpam-3440	59	20	.	.	PUNCT
ejpam-3440	60	1	definition	definition	NOUN
ejpam-3440	60	2	4	4	NUM
ejpam-3440	60	3	.	.	PUNCT
ejpam-3440	61	1	[	[	X
ejpam-3440	61	2	29	29	NUM
ejpam-3440	61	3	]	]	PUNCT
ejpam-3440	61	4	the	the	DET
ejpam-3440	61	5	complement	complement	NOUN
ejpam-3440	61	6	of	of	ADP
ejpam-3440	61	7	a	a	DET
ejpam-3440	61	8	fuzzy	fuzzy	ADJ
ejpam-3440	61	9	soft	soft	ADJ
ejpam-3440	61	10	set	set	NOUN
ejpam-3440	61	11	(	(	PUNCT
ejpam-3440	61	12	f	f	X
ejpam-3440	61	13	,	,	PUNCT
ejpam-3440	61	14	a	a	PRON
ejpam-3440	61	15	)	)	PUNCT
ejpam-3440	61	16	,	,	PUNCT
ejpam-3440	61	17	denoted	denote	VERB
ejpam-3440	61	18	by	by	ADP
ejpam-3440	61	19	(	(	PUNCT
ejpam-3440	61	20	f	f	X
ejpam-3440	61	21	,	,	PUNCT
ejpam-3440	61	22	a)c	a)c	PUNCT
ejpam-3440	61	23	,	,	PUNCT
ejpam-3440	61	24	is	be	AUX
ejpam-3440	61	25	defined	define	VERB
ejpam-3440	61	26	by	by	ADP
ejpam-3440	61	27	(	(	PUNCT
ejpam-3440	61	28	f	f	X
ejpam-3440	61	29	,	,	PUNCT
ejpam-3440	61	30	a)c	a)c	X
ejpam-3440	61	31	=	=	PUNCT
ejpam-3440	62	1	(	(	PUNCT
ejpam-3440	62	2	f	f	PROPN
ejpam-3440	62	3	c	c	PROPN
ejpam-3440	62	4	,	,	PUNCT
ejpam-3440	62	5	a	a	NOUN
ejpam-3440	62	6	)	)	PUNCT
ejpam-3440	62	7	,	,	PUNCT
ejpam-3440	62	8	f	f	PROPN
ejpam-3440	62	9	ca	can	AUX
ejpam-3440	62	10	:	:	PUNCT
ejpam-3440	62	11	e	e	X
ejpam-3440	62	12	→	→	PUNCT
ejpam-3440	62	13	ix	ix	ADV
ejpam-3440	62	14	is	be	AUX
ejpam-3440	62	15	a	a	DET
ejpam-3440	62	16	mapping	mapping	NOUN
ejpam-3440	62	17	given	give	VERB
ejpam-3440	62	18	by	by	ADP
ejpam-3440	62	19	µefca	µefca	NOUN
ejpam-3440	62	20	=	=	SYM
ejpam-3440	62	21	1	1	NUM
ejpam-3440	62	22	−	−	NOUN
ejpam-3440	62	23	µefa	µefa	NOUN
ejpam-3440	62	24	∀	∀	PUNCT
ejpam-3440	62	25	e	e	NOUN
ejpam-3440	62	26	∈	∈	PROPN
ejpam-3440	62	27	a	a	PRON
ejpam-3440	62	28	,	,	PUNCT
ejpam-3440	62	29	where	where	SCONJ
ejpam-3440	62	30	1(e	1(e	NUM
ejpam-3440	62	31	)	)	PUNCT
ejpam-3440	62	32	=	=	SYM
ejpam-3440	62	33	1	1	NUM
ejpam-3440	62	34	∀	∀	NOUN
ejpam-3440	62	35	x	x	SYM
ejpam-3440	62	36	∈	∈	NOUN
ejpam-3440	62	37	x.	x.	NOUN
ejpam-3440	62	38	clearly	clearly	ADV
ejpam-3440	62	39	(	(	PUNCT
ejpam-3440	62	40	f	f	PROPN
ejpam-3440	62	41	ca)c	ca)c	PROPN
ejpam-3440	62	42	=	=	SYM
ejpam-3440	62	43	fa	fa	PROPN
ejpam-3440	62	44	.	.	NOUN
ejpam-3440	62	45	definition	definition	NOUN
ejpam-3440	62	46	5	5	NUM
ejpam-3440	62	47	.	.	PUNCT
ejpam-3440	63	1	[	[	X
ejpam-3440	63	2	23	23	NUM
ejpam-3440	63	3	]	]	PUNCT
ejpam-3440	63	4	a	a	DET
ejpam-3440	63	5	fuzzy	fuzzy	ADJ
ejpam-3440	63	6	soft	soft	ADJ
ejpam-3440	63	7	set	set	NOUN
ejpam-3440	63	8	fa	fa	NOUN
ejpam-3440	63	9	over	over	ADP
ejpam-3440	63	10	x	x	VERB
ejpam-3440	63	11	is	be	AUX
ejpam-3440	63	12	said	say	VERB
ejpam-3440	63	13	to	to	PART
ejpam-3440	63	14	be	be	AUX
ejpam-3440	63	15	a	a	DET
ejpam-3440	63	16	null	null	ADJ
ejpam-3440	63	17	fuzzy	fuzzy	ADJ
ejpam-3440	63	18	soft	soft	ADJ
ejpam-3440	63	19	set	set	NOUN
ejpam-3440	63	20	,	,	PUNCT
ejpam-3440	63	21	denoted	denote	VERB
ejpam-3440	63	22	by	by	ADP
ejpam-3440	63	23	0̃a	0̃a	PROPN
ejpam-3440	63	24	,	,	PUNCT
ejpam-3440	63	25	if	if	SCONJ
ejpam-3440	63	26	for	for	ADP
ejpam-3440	63	27	all	all	DET
ejpam-3440	63	28	e	e	PROPN
ejpam-3440	63	29	∈	∈	PROPN
ejpam-3440	63	30	a	a	PRON
ejpam-3440	63	31	,	,	PUNCT
ejpam-3440	63	32	fa(e	fa(e	X
ejpam-3440	63	33	)	)	PUNCT
ejpam-3440	64	1	=	=	SYM
ejpam-3440	64	2	0	0	X
ejpam-3440	64	3	.	.	PUNCT
ejpam-3440	65	1	definition	definition	NOUN
ejpam-3440	65	2	6	6	NUM
ejpam-3440	65	3	.	.	PUNCT
ejpam-3440	66	1	[	[	X
ejpam-3440	66	2	23	23	NUM
ejpam-3440	66	3	]	]	PUNCT
ejpam-3440	66	4	a	a	DET
ejpam-3440	66	5	fuzzy	fuzzy	ADJ
ejpam-3440	66	6	soft	soft	ADJ
ejpam-3440	66	7	set	set	NOUN
ejpam-3440	66	8	fa	fa	NOUN
ejpam-3440	66	9	over	over	ADP
ejpam-3440	66	10	x	x	VERB
ejpam-3440	66	11	is	be	AUX
ejpam-3440	66	12	said	say	VERB
ejpam-3440	66	13	to	to	PART
ejpam-3440	66	14	be	be	AUX
ejpam-3440	66	15	an	an	DET
ejpam-3440	66	16	absolute	absolute	ADJ
ejpam-3440	66	17	fuzzy	fuzzy	ADJ
ejpam-3440	66	18	soft	soft	ADJ
ejpam-3440	66	19	set	set	NOUN
ejpam-3440	66	20	,	,	PUNCT
ejpam-3440	66	21	denoted	denote	VERB
ejpam-3440	66	22	by	by	ADP
ejpam-3440	66	23	1̃a	1̃a	PROPN
ejpam-3440	66	24	,	,	PUNCT
ejpam-3440	66	25	if	if	SCONJ
ejpam-3440	66	26	for	for	ADP
ejpam-3440	66	27	all	all	DET
ejpam-3440	66	28	e	e	PROPN
ejpam-3440	66	29	∈	∈	PROPN
ejpam-3440	66	30	a	a	PRON
ejpam-3440	66	31	,	,	PUNCT
ejpam-3440	66	32	fa(e	fa(e	X
ejpam-3440	66	33	)	)	PUNCT
ejpam-3440	66	34	=	=	SYM
ejpam-3440	67	1	1	1	NUM
ejpam-3440	67	2	,	,	PUNCT
ejpam-3440	67	3	where	where	SCONJ
ejpam-3440	67	4	1	1	NUM
ejpam-3440	67	5	is	be	AUX
ejpam-3440	67	6	the	the	DET
ejpam-3440	67	7	membership	membership	NOUN
ejpam-3440	67	8	function	function	NOUN
ejpam-3440	67	9	of	of	ADP
ejpam-3440	67	10	absolute	absolute	ADJ
ejpam-3440	67	11	fuzzy	fuzzy	ADJ
ejpam-3440	67	12	set	set	NOUN
ejpam-3440	67	13	over	over	ADP
ejpam-3440	67	14	x	x	NOUN
ejpam-3440	67	15	,	,	PUNCT
ejpam-3440	67	16	which	which	PRON
ejpam-3440	67	17	takes	take	VERB
ejpam-3440	67	18	value	value	NOUN
ejpam-3440	67	19	1	1	NUM
ejpam-3440	67	20	for	for	ADP
ejpam-3440	67	21	all	all	PRON
ejpam-3440	67	22	for	for	ADP
ejpam-3440	67	23	all	all	DET
ejpam-3440	67	24	x	x	SYM
ejpam-3440	67	25	∈	∈	NOUN
ejpam-3440	67	26	x.	x.	NOUN
ejpam-3440	67	27	clearly	clearly	ADV
ejpam-3440	67	28	,	,	PUNCT
ejpam-3440	67	29	we	we	PRON
ejpam-3440	67	30	have	have	VERB
ejpam-3440	67	31	(	(	PUNCT
ejpam-3440	68	1	1̃a)c	1̃a)c	NUM
ejpam-3440	68	2	=	=	PUNCT
ejpam-3440	68	3	0̃a	0̃a	NOUN
ejpam-3440	68	4	and	and	CCONJ
ejpam-3440	68	5	(	(	PUNCT
ejpam-3440	68	6	0̃a)c	0̃a)c	NUM
ejpam-3440	68	7	=	=	SYM
ejpam-3440	68	8	1̃a	1̃a	PROPN
ejpam-3440	68	9	.	.	PUNCT
ejpam-3440	69	1	definition	definition	NOUN
ejpam-3440	69	2	7	7	NUM
ejpam-3440	69	3	.	.	PUNCT
ejpam-3440	70	1	[	[	X
ejpam-3440	70	2	29	29	NUM
ejpam-3440	70	3	]	]	X
ejpam-3440	70	4	let	let	VERB
ejpam-3440	70	5	fa	fa	X
ejpam-3440	70	6	,	,	PUNCT
ejpam-3440	70	7	gb	gb	PROPN
ejpam-3440	70	8	∈	∈	PROPN
ejpam-3440	70	9	fss(x)e	fss(x)e	PROPN
ejpam-3440	70	10	.	.	PUNCT
ejpam-3440	71	1	then	then	ADV
ejpam-3440	71	2	,	,	PUNCT
ejpam-3440	71	3	fa	fa	PROPN
ejpam-3440	71	4	is	be	AUX
ejpam-3440	71	5	fuzzy	fuzzy	ADJ
ejpam-3440	71	6	soft	soft	ADJ
ejpam-3440	71	7	subset	subset	NOUN
ejpam-3440	71	8	of	of	ADP
ejpam-3440	71	9	gb	gb	PRON
ejpam-3440	71	10	,	,	PUNCT
ejpam-3440	71	11	denoted	denote	VERB
ejpam-3440	71	12	by	by	ADP
ejpam-3440	71	13	fa	fa	PROPN
ejpam-3440	71	14	v	v	PROPN
ejpam-3440	71	15	gb	gb	NOUN
ejpam-3440	71	16	,	,	PUNCT
ejpam-3440	71	17	if	if	SCONJ
ejpam-3440	71	18	a	a	DET
ejpam-3440	71	19	⊆	⊆	NUM
ejpam-3440	71	20	b	b	NOUN
ejpam-3440	71	21	and	and	CCONJ
ejpam-3440	71	22	µefa	µefa	PROPN
ejpam-3440	71	23	⊆	⊆	NUM
ejpam-3440	71	24	µ	µ	PROPN
ejpam-3440	71	25	e	e	NOUN
ejpam-3440	71	26	gb	gb	ADP
ejpam-3440	71	27	∀	∀	NOUN
ejpam-3440	71	28	e	e	NOUN
ejpam-3440	71	29	∈	∈	PROPN
ejpam-3440	71	30	a	a	PRON
ejpam-3440	71	31	,	,	PUNCT
ejpam-3440	71	32	i.e.	i.e.	X
ejpam-3440	71	33	µefa(x	µefa(x	NOUN
ejpam-3440	71	34	)	)	PUNCT
ejpam-3440	71	35	≤	≤	NOUN
ejpam-3440	71	36	µegb	µegb	NOUN
ejpam-3440	71	37	(	(	PUNCT
ejpam-3440	71	38	x	x	NOUN
ejpam-3440	71	39	)	)	PUNCT
ejpam-3440	71	40	∀	∀	X
ejpam-3440	71	41	x	x	SYM
ejpam-3440	71	42	∈	∈	NOUN
ejpam-3440	71	43	x	x	X
ejpam-3440	71	44	and	and	CCONJ
ejpam-3440	71	45	∀	∀	NUM
ejpam-3440	71	46	e	e	NOUN
ejpam-3440	71	47	∈	∈	PROPN
ejpam-3440	71	48	a.	a.	NOUN
ejpam-3440	71	49	definition	definition	NOUN
ejpam-3440	71	50	8	8	NUM
ejpam-3440	71	51	.	.	PUNCT
ejpam-3440	72	1	[	[	X
ejpam-3440	72	2	29	29	NUM
ejpam-3440	72	3	]	]	PUNCT
ejpam-3440	72	4	.	.	PUNCT
ejpam-3440	73	1	the	the	DET
ejpam-3440	73	2	union	union	NOUN
ejpam-3440	73	3	of	of	ADP
ejpam-3440	73	4	two	two	NUM
ejpam-3440	73	5	fuzzy	fuzzy	ADJ
ejpam-3440	73	6	soft	soft	ADJ
ejpam-3440	73	7	sets	set	NOUN
ejpam-3440	73	8	fa	fa	INTJ
ejpam-3440	73	9	and	and	CCONJ
ejpam-3440	73	10	gb	gb	NOUN
ejpam-3440	73	11	over	over	ADP
ejpam-3440	73	12	the	the	DET
ejpam-3440	73	13	common	common	ADJ
ejpam-3440	73	14	universe	universe	NOUN
ejpam-3440	73	15	x	x	PUNCT
ejpam-3440	73	16	is	be	AUX
ejpam-3440	73	17	also	also	ADV
ejpam-3440	73	18	a	a	DET
ejpam-3440	73	19	fuzzy	fuzzy	ADJ
ejpam-3440	73	20	soft	soft	ADJ
ejpam-3440	73	21	set	set	NOUN
ejpam-3440	73	22	hc	hc	NOUN
ejpam-3440	73	23	,	,	PUNCT
ejpam-3440	73	24	where	where	SCONJ
ejpam-3440	73	25	c	c	NOUN
ejpam-3440	73	26	=	=	PUNCT
ejpam-3440	73	27	a	a	DET
ejpam-3440	73	28	∪b	∪b	X
ejpam-3440	73	29	and	and	CCONJ
ejpam-3440	73	30	for	for	ADP
ejpam-3440	73	31	all	all	DET
ejpam-3440	73	32	e	e	PROPN
ejpam-3440	73	33	∈	∈	PROPN
ejpam-3440	73	34	c	c	X
ejpam-3440	73	35	,	,	PUNCT
ejpam-3440	73	36	hc(e	hc(e	NOUN
ejpam-3440	73	37	)	)	PUNCT
ejpam-3440	74	1	=	=	SYM
ejpam-3440	74	2	µehc	µehc	NOUN
ejpam-3440	74	3	=	=	PUNCT
ejpam-3440	74	4	µefa	µefa	PROPN
ejpam-3440	74	5	∨	∨	X
ejpam-3440	74	6	µ	µ	X
ejpam-3440	74	7	e	e	NOUN
ejpam-3440	74	8	gb	gb	ADP
ejpam-3440	74	9	∀e	∀e	PROPN
ejpam-3440	74	10	∈	∈	PROPN
ejpam-3440	74	11	c.	c.	NOUN
ejpam-3440	74	12	here	here	ADV
ejpam-3440	74	13	,	,	PUNCT
ejpam-3440	74	14	we	we	PRON
ejpam-3440	74	15	write	write	VERB
ejpam-3440	74	16	hc	hc	X
ejpam-3440	74	17	=	=	PUNCT
ejpam-3440	74	18	fa	fa	PROPN
ejpam-3440	74	19	t	t	PROPN
ejpam-3440	74	20	gb	gb	NOUN
ejpam-3440	74	21	.	.	PUNCT
ejpam-3440	75	1	definition	definition	NOUN
ejpam-3440	75	2	9	9	NUM
ejpam-3440	75	3	.	.	PUNCT
ejpam-3440	76	1	[	[	X
ejpam-3440	76	2	29	29	NUM
ejpam-3440	76	3	]	]	PUNCT
ejpam-3440	76	4	.	.	PUNCT
ejpam-3440	77	1	the	the	DET
ejpam-3440	77	2	intersection	intersection	NOUN
ejpam-3440	77	3	of	of	ADP
ejpam-3440	77	4	two	two	NUM
ejpam-3440	77	5	fuzzy	fuzzy	ADJ
ejpam-3440	77	6	soft	soft	ADJ
ejpam-3440	77	7	sets	set	NOUN
ejpam-3440	77	8	fa	fa	INTJ
ejpam-3440	77	9	and	and	CCONJ
ejpam-3440	77	10	gb	gb	NOUN
ejpam-3440	77	11	over	over	ADP
ejpam-3440	77	12	the	the	DET
ejpam-3440	77	13	common	common	ADJ
ejpam-3440	77	14	universe	universe	NOUN
ejpam-3440	77	15	x	x	PUNCT
ejpam-3440	77	16	is	be	AUX
ejpam-3440	77	17	also	also	ADV
ejpam-3440	77	18	a	a	DET
ejpam-3440	77	19	fuzzy	fuzzy	ADJ
ejpam-3440	77	20	soft	soft	ADJ
ejpam-3440	77	21	set	set	NOUN
ejpam-3440	77	22	hc	hc	NOUN
ejpam-3440	77	23	,	,	PUNCT
ejpam-3440	77	24	where	where	SCONJ
ejpam-3440	77	25	c	c	NOUN
ejpam-3440	77	26	=	=	PUNCT
ejpam-3440	77	27	a	a	DET
ejpam-3440	77	28	∩b	∩b	NOUN
ejpam-3440	77	29	and	and	CCONJ
ejpam-3440	77	30	for	for	ADP
ejpam-3440	77	31	all	all	DET
ejpam-3440	77	32	e	e	PROPN
ejpam-3440	77	33	∈	∈	PROPN
ejpam-3440	77	34	c	c	X
ejpam-3440	77	35	,	,	PUNCT
ejpam-3440	77	36	hc(e	hc(e	NOUN
ejpam-3440	77	37	)	)	PUNCT
ejpam-3440	78	1	=	=	SYM
ejpam-3440	78	2	µehc	µehc	NOUN
ejpam-3440	78	3	=	=	PUNCT
ejpam-3440	78	4	µefa	µefa	PROPN
ejpam-3440	78	5	∧	∧	PROPN
ejpam-3440	78	6	µ	µ	PRON
ejpam-3440	78	7	e	e	X
ejpam-3440	78	8	gb	gb	ADP
ejpam-3440	78	9	∀e	∀e	PROPN
ejpam-3440	78	10	∈	∈	PROPN
ejpam-3440	78	11	c.	c.	NOUN
ejpam-3440	78	12	here	here	ADV
ejpam-3440	78	13	,	,	PUNCT
ejpam-3440	78	14	we	we	PRON
ejpam-3440	78	15	write	write	VERB
ejpam-3440	78	16	hc	hc	PROPN
ejpam-3440	78	17	=	=	PUNCT
ejpam-3440	78	18	fa	fa	PROPN
ejpam-3440	78	19	u	u	NOUN
ejpam-3440	78	20	gb	gb	NOUN
ejpam-3440	78	21	.	.	PUNCT
ejpam-3440	79	1	definition	definition	NOUN
ejpam-3440	79	2	10	10	NUM
ejpam-3440	79	3	.	.	PUNCT
ejpam-3440	80	1	[	[	X
ejpam-3440	80	2	10	10	NUM
ejpam-3440	80	3	]	]	PUNCT
ejpam-3440	80	4	.	.	PUNCT
ejpam-3440	81	1	let	let	VERB
ejpam-3440	81	2	t	t	NOUN
ejpam-3440	81	3	be	be	AUX
ejpam-3440	81	4	a	a	DET
ejpam-3440	81	5	collection	collection	NOUN
ejpam-3440	81	6	of	of	ADP
ejpam-3440	81	7	fuzzy	fuzzy	ADJ
ejpam-3440	81	8	soft	soft	ADJ
ejpam-3440	81	9	sets	set	NOUN
ejpam-3440	81	10	over	over	ADP
ejpam-3440	81	11	a	a	DET
ejpam-3440	81	12	universe	universe	NOUN
ejpam-3440	81	13	x	x	PUNCT
ejpam-3440	81	14	with	with	ADP
ejpam-3440	81	15	a	a	DET
ejpam-3440	81	16	fixed	fix	VERB
ejpam-3440	81	17	set	set	NOUN
ejpam-3440	81	18	of	of	ADP
ejpam-3440	81	19	parameters	parameter	NOUN
ejpam-3440	81	20	e	e	NOUN
ejpam-3440	81	21	,	,	PUNCT
ejpam-3440	81	22	then	then	ADV
ejpam-3440	81	23	t	t	PROPN
ejpam-3440	81	24	is	be	AUX
ejpam-3440	81	25	called	call	VERB
ejpam-3440	81	26	a	a	DET
ejpam-3440	81	27	fuzzy	fuzzy	ADJ
ejpam-3440	81	28	soft	soft	ADJ
ejpam-3440	81	29	topology	topology	NOUN
ejpam-3440	81	30	on	on	ADP
ejpam-3440	81	31	x	x	SYM
ejpam-3440	81	32	if	if	SCONJ
ejpam-3440	81	33	(	(	PUNCT
ejpam-3440	81	34	1	1	X
ejpam-3440	81	35	)	)	PUNCT
ejpam-3440	81	36	1̃e	1̃e	NUM
ejpam-3440	81	37	,	,	PUNCT
ejpam-3440	81	38	0̃e	0̃e	PROPN
ejpam-3440	81	39	∈	∈	PROPN
ejpam-3440	81	40	t	t	PROPN
ejpam-3440	81	41	,	,	PUNCT
ejpam-3440	81	42	where	where	SCONJ
ejpam-3440	81	43	0̃e(e	0̃e(e	NUM
ejpam-3440	81	44	)	)	PUNCT
ejpam-3440	82	1	=	=	SYM
ejpam-3440	82	2	0	0	NUM
ejpam-3440	82	3	and	and	CCONJ
ejpam-3440	82	4	1̃e(e	1̃e(e	NUM
ejpam-3440	82	5	)	)	PUNCT
ejpam-3440	82	6	=	=	SYM
ejpam-3440	82	7	1	1	X
ejpam-3440	82	8	,	,	PUNCT
ejpam-3440	82	9	∀e	∀e	PROPN
ejpam-3440	82	10	∈	∈	PROPN
ejpam-3440	82	11	e	e	NOUN
ejpam-3440	82	12	,	,	PUNCT
ejpam-3440	82	13	(	(	PUNCT
ejpam-3440	82	14	2	2	X
ejpam-3440	82	15	)	)	PUNCT
ejpam-3440	82	16	the	the	DET
ejpam-3440	82	17	union	union	NOUN
ejpam-3440	82	18	of	of	ADP
ejpam-3440	82	19	any	any	DET
ejpam-3440	82	20	members	member	NOUN
ejpam-3440	82	21	of	of	ADP
ejpam-3440	82	22	t	t	PROPN
ejpam-3440	82	23	,	,	PUNCT
ejpam-3440	82	24	belongs	belong	VERB
ejpam-3440	82	25	to	to	ADP
ejpam-3440	82	26	t	t	PROPN
ejpam-3440	82	27	,	,	PUNCT
ejpam-3440	82	28	(	(	PUNCT
ejpam-3440	82	29	3	3	X
ejpam-3440	82	30	)	)	PUNCT
ejpam-3440	82	31	the	the	DET
ejpam-3440	82	32	intersection	intersection	NOUN
ejpam-3440	82	33	of	of	ADP
ejpam-3440	82	34	any	any	DET
ejpam-3440	82	35	two	two	NUM
ejpam-3440	82	36	members	member	NOUN
ejpam-3440	82	37	of	of	ADP
ejpam-3440	82	38	t	t	PROPN
ejpam-3440	82	39	,	,	PUNCT
ejpam-3440	82	40	belongs	belong	VERB
ejpam-3440	82	41	to	to	ADP
ejpam-3440	82	42	t.	t.	NOUN
ejpam-3440	82	43	the	the	DET
ejpam-3440	82	44	triplet	triplet	NOUN
ejpam-3440	82	45	(	(	PUNCT
ejpam-3440	82	46	x	x	NOUN
ejpam-3440	82	47	,	,	PUNCT
ejpam-3440	82	48	t	t	PROPN
ejpam-3440	82	49	,	,	PUNCT
ejpam-3440	82	50	e	e	NOUN
ejpam-3440	82	51	)	)	PUNCT
ejpam-3440	82	52	is	be	AUX
ejpam-3440	82	53	called	call	VERB
ejpam-3440	82	54	a	a	DET
ejpam-3440	82	55	fuzzy	fuzzy	ADJ
ejpam-3440	82	56	soft	soft	ADJ
ejpam-3440	82	57	topological	topological	ADJ
ejpam-3440	82	58	space	space	NOUN
ejpam-3440	82	59	over	over	ADP
ejpam-3440	82	60	x.	x.	NOUN
ejpam-3440	82	61	also	also	ADV
ejpam-3440	82	62	,	,	PUNCT
ejpam-3440	82	63	each	each	DET
ejpam-3440	82	64	member	member	NOUN
ejpam-3440	82	65	of	of	ADP
ejpam-3440	82	66	t	t	PROPN
ejpam-3440	82	67	is	be	AUX
ejpam-3440	82	68	called	call	VERB
ejpam-3440	82	69	a	a	DET
ejpam-3440	82	70	fuzzy	fuzzy	ADJ
ejpam-3440	82	71	open	open	ADJ
ejpam-3440	82	72	soft	soft	ADJ
ejpam-3440	82	73	in	in	ADP
ejpam-3440	82	74	(	(	PUNCT
ejpam-3440	82	75	x	x	X
ejpam-3440	82	76	,	,	PUNCT
ejpam-3440	82	77	t	t	PROPN
ejpam-3440	82	78	,	,	PUNCT
ejpam-3440	82	79	e	e	NOUN
ejpam-3440	82	80	)	)	PUNCT
ejpam-3440	82	81	.	.	PUNCT
ejpam-3440	83	1	we	we	PRON
ejpam-3440	83	2	denote	denote	VERB
ejpam-3440	83	3	the	the	DET
ejpam-3440	83	4	set	set	NOUN
ejpam-3440	83	5	of	of	ADP
ejpam-3440	83	6	all	all	DET
ejpam-3440	83	7	fuzzy	fuzzy	ADJ
ejpam-3440	83	8	open	open	ADJ
ejpam-3440	83	9	soft	soft	ADJ
ejpam-3440	83	10	sets	set	NOUN
ejpam-3440	83	11	by	by	ADP
ejpam-3440	83	12	fos(x	fos(x	PROPN
ejpam-3440	83	13	,	,	PUNCT
ejpam-3440	83	14	t	t	PROPN
ejpam-3440	83	15	,	,	PUNCT
ejpam-3440	83	16	e	e	NOUN
ejpam-3440	83	17	)	)	PUNCT
ejpam-3440	83	18	,	,	PUNCT
ejpam-3440	83	19	or	or	CCONJ
ejpam-3440	83	20	fos(x	fos(x	PROPN
ejpam-3440	83	21	)	)	PUNCT
ejpam-3440	83	22	.	.	PUNCT
ejpam-3440	84	1	definition	definition	NOUN
ejpam-3440	84	2	11	11	NUM
ejpam-3440	84	3	.	.	PUNCT
ejpam-3440	85	1	[	[	X
ejpam-3440	85	2	10	10	NUM
ejpam-3440	85	3	]	]	X
ejpam-3440	85	4	let	let	VERB
ejpam-3440	85	5	(	(	PUNCT
ejpam-3440	85	6	x	x	X
ejpam-3440	85	7	,	,	PUNCT
ejpam-3440	85	8	t	t	PROPN
ejpam-3440	85	9	,	,	PUNCT
ejpam-3440	85	10	e	e	NOUN
ejpam-3440	85	11	)	)	PUNCT
ejpam-3440	85	12	be	be	AUX
ejpam-3440	85	13	a	a	DET
ejpam-3440	85	14	fuzzy	fuzzy	ADJ
ejpam-3440	85	15	soft	soft	ADJ
ejpam-3440	85	16	topological	topological	ADJ
ejpam-3440	85	17	space	space	NOUN
ejpam-3440	85	18	.	.	PUNCT
ejpam-3440	86	1	a	a	DET
ejpam-3440	86	2	fuzzy	fuzzy	ADJ
ejpam-3440	86	3	soft	soft	ADJ
ejpam-3440	86	4	set	set	NOUN
ejpam-3440	86	5	fa	fa	NOUN
ejpam-3440	86	6	over	over	ADP
ejpam-3440	86	7	x	x	VERB
ejpam-3440	86	8	is	be	AUX
ejpam-3440	86	9	said	say	VERB
ejpam-3440	86	10	to	to	PART
ejpam-3440	86	11	be	be	AUX
ejpam-3440	86	12	fuzzy	fuzzy	ADJ
ejpam-3440	86	13	closed	close	VERB
ejpam-3440	86	14	soft	soft	ADJ
ejpam-3440	86	15	set	set	NOUN
ejpam-3440	86	16	in	in	ADP
ejpam-3440	86	17	x	x	NOUN
ejpam-3440	86	18	,	,	PUNCT
ejpam-3440	86	19	if	if	SCONJ
ejpam-3440	86	20	its	its	PRON
ejpam-3440	86	21	relative	relative	ADJ
ejpam-3440	86	22	complement	complement	NOUN
ejpam-3440	86	23	f	f	PROPN
ejpam-3440	86	24	ca	can	AUX
ejpam-3440	86	25	is	be	AUX
ejpam-3440	86	26	fuzzy	fuzzy	ADJ
ejpam-3440	86	27	open	open	ADJ
ejpam-3440	86	28	soft	soft	ADJ
ejpam-3440	86	29	set	set	NOUN
ejpam-3440	86	30	.	.	PUNCT
ejpam-3440	87	1	we	we	PRON
ejpam-3440	87	2	denote	denote	VERB
ejpam-3440	87	3	the	the	DET
ejpam-3440	87	4	set	set	NOUN
ejpam-3440	87	5	of	of	ADP
ejpam-3440	87	6	all	all	DET
ejpam-3440	87	7	fuzzy	fuzzy	ADJ
ejpam-3440	87	8	closed	close	VERB
ejpam-3440	87	9	soft	soft	ADJ
ejpam-3440	87	10	sets	set	NOUN
ejpam-3440	87	11	by	by	ADP
ejpam-3440	87	12	fcs(x	fcs(x	PROPN
ejpam-3440	87	13	,	,	PUNCT
ejpam-3440	87	14	t	t	PROPN
ejpam-3440	87	15	,	,	PUNCT
ejpam-3440	87	16	e	e	NOUN
ejpam-3440	87	17	)	)	PUNCT
ejpam-3440	87	18	,	,	PUNCT
ejpam-3440	87	19	or	or	CCONJ
ejpam-3440	87	20	fcs(x	fcs(x	NUM
ejpam-3440	87	21	)	)	PUNCT
ejpam-3440	87	22	.	.	PUNCT
ejpam-3440	88	1	a.	a.	PROPN
ejpam-3440	88	2	m.	m.	PROPN
ejpam-3440	88	3	abd	abd	PROPN
ejpam-3440	88	4	el	el	PROPN
ejpam-3440	88	5	-	-	PROPN
ejpam-3440	88	6	latif	latif	PROPN
ejpam-3440	88	7	/	/	SYM
ejpam-3440	88	8	eur	eur	PROPN
ejpam-3440	88	9	.	.	PUNCT
ejpam-3440	89	1	j.	j.	PROPN
ejpam-3440	89	2	pure	pure	PROPN
ejpam-3440	89	3	appl	appl	PROPN
ejpam-3440	89	4	.	.	PROPN
ejpam-3440	89	5	math	math	PROPN
ejpam-3440	89	6	,	,	PUNCT
ejpam-3440	89	7	12	12	NUM
ejpam-3440	89	8	(	(	PUNCT
ejpam-3440	89	9	3	3	NUM
ejpam-3440	89	10	)	)	PUNCT
ejpam-3440	89	11	(	(	PUNCT
ejpam-3440	89	12	2019	2019	NUM
ejpam-3440	89	13	)	)	PUNCT
ejpam-3440	89	14	,	,	PUNCT
ejpam-3440	89	15	999	999	NUM
ejpam-3440	89	16	-	-	SYM
ejpam-3440	89	17	1017	1017	NUM
ejpam-3440	89	18	1002	1002	NUM
ejpam-3440	89	19	definition	definition	NOUN
ejpam-3440	89	20	12	12	NUM
ejpam-3440	89	21	.	.	PUNCT
ejpam-3440	90	1	[	[	X
ejpam-3440	90	2	28	28	NUM
ejpam-3440	90	3	]	]	X
ejpam-3440	90	4	let	let	AUX
ejpam-3440	90	5	(	(	PUNCT
ejpam-3440	90	6	x	x	NOUN
ejpam-3440	90	7	,	,	PUNCT
ejpam-3440	90	8	t	t	PROPN
ejpam-3440	90	9	,	,	PUNCT
ejpam-3440	90	10	e	e	NOUN
ejpam-3440	90	11	)	)	PUNCT
ejpam-3440	90	12	be	be	AUX
ejpam-3440	90	13	a	a	DET
ejpam-3440	90	14	fuzzy	fuzzy	ADJ
ejpam-3440	90	15	soft	soft	ADJ
ejpam-3440	90	16	topological	topological	ADJ
ejpam-3440	90	17	space	space	NOUN
ejpam-3440	90	18	and	and	CCONJ
ejpam-3440	90	19	fa	fa	NOUN
ejpam-3440	90	20	∈	∈	PROPN
ejpam-3440	90	21	fss(x)e	fss(x)e	PROPN
ejpam-3440	90	22	.	.	PUNCT
ejpam-3440	91	1	the	the	DET
ejpam-3440	91	2	fuzzy	fuzzy	ADJ
ejpam-3440	91	3	soft	soft	ADJ
ejpam-3440	91	4	closure	closure	NOUN
ejpam-3440	91	5	of	of	ADP
ejpam-3440	91	6	fa	fa	PROPN
ejpam-3440	91	7	,	,	PUNCT
ejpam-3440	91	8	denoted	denote	VERB
ejpam-3440	91	9	by	by	ADP
ejpam-3440	91	10	fcl(fa	fcl(fa	NOUN
ejpam-3440	91	11	)	)	PUNCT
ejpam-3440	91	12	is	be	AUX
ejpam-3440	91	13	the	the	DET
ejpam-3440	91	14	intersection	intersection	NOUN
ejpam-3440	91	15	of	of	ADP
ejpam-3440	91	16	all	all	DET
ejpam-3440	91	17	fuzzy	fuzzy	ADJ
ejpam-3440	91	18	closed	close	VERB
ejpam-3440	91	19	soft	soft	ADJ
ejpam-3440	91	20	super	super	ADJ
ejpam-3440	91	21	sets	set	NOUN
ejpam-3440	91	22	of	of	ADP
ejpam-3440	91	23	fa	fa	PROPN
ejpam-3440	91	24	.	.	PUNCT
ejpam-3440	91	25	i.e.	i.e.	X
ejpam-3440	91	26	,	,	PUNCT
ejpam-3440	91	27	fcl(fa	fcl(fa	NOUN
ejpam-3440	91	28	)	)	PUNCT
ejpam-3440	91	29	=	=	SYM
ejpam-3440	92	1	u{hd	u{hd	PROPN
ejpam-3440	92	2	:	:	PUNCT
ejpam-3440	92	3	hd	hd	PROPN
ejpam-3440	92	4	is	be	AUX
ejpam-3440	92	5	fuzzy	fuzzy	ADJ
ejpam-3440	92	6	closed	close	VERB
ejpam-3440	92	7	soft	soft	ADJ
ejpam-3440	92	8	set	set	NOUN
ejpam-3440	92	9	and	and	CCONJ
ejpam-3440	92	10	fa	fa	X
ejpam-3440	92	11	v	v	PROPN
ejpam-3440	92	12	hd	hd	PROPN
ejpam-3440	92	13	}	}	PUNCT
ejpam-3440	92	14	.	.	PUNCT
ejpam-3440	93	1	the	the	DET
ejpam-3440	93	2	fuzzy	fuzzy	ADJ
ejpam-3440	93	3	soft	soft	ADJ
ejpam-3440	93	4	interior	interior	NOUN
ejpam-3440	93	5	of	of	ADP
ejpam-3440	93	6	gb	gb	PROPN
ejpam-3440	93	7	,	,	PUNCT
ejpam-3440	93	8	denoted	denote	VERB
ejpam-3440	93	9	by	by	ADP
ejpam-3440	93	10	fint(gb	fint(gb	NOUN
ejpam-3440	93	11	)	)	PUNCT
ejpam-3440	93	12	is	be	AUX
ejpam-3440	93	13	the	the	DET
ejpam-3440	93	14	fuzzy	fuzzy	ADJ
ejpam-3440	93	15	soft	soft	ADJ
ejpam-3440	93	16	union	union	NOUN
ejpam-3440	93	17	of	of	ADP
ejpam-3440	93	18	all	all	DET
ejpam-3440	93	19	fuzzy	fuzzy	ADJ
ejpam-3440	93	20	open	open	ADJ
ejpam-3440	93	21	soft	soft	ADJ
ejpam-3440	93	22	subsets	subset	NOUN
ejpam-3440	93	23	of	of	ADP
ejpam-3440	93	24	gb.i.e	gb.i.e	PROPN
ejpam-3440	93	25	.	.	PUNCT
ejpam-3440	94	1	,	,	PUNCT
ejpam-3440	94	2	fint(gb	fint(gb	PROPN
ejpam-3440	94	3	)	)	PUNCT
ejpam-3440	94	4	=	=	SYM
ejpam-3440	95	1	t{hd	t{hd	NOUN
ejpam-3440	95	2	:	:	PUNCT
ejpam-3440	95	3	hd	hd	PROPN
ejpam-3440	95	4	is	be	AUX
ejpam-3440	95	5	fuzzy	fuzzy	ADJ
ejpam-3440	95	6	open	open	ADJ
ejpam-3440	95	7	soft	soft	ADJ
ejpam-3440	95	8	set	set	NOUN
ejpam-3440	95	9	and	and	CCONJ
ejpam-3440	95	10	hd	hd	VERB
ejpam-3440	95	11	v	v	PRON
ejpam-3440	95	12	gb	gb	NOUN
ejpam-3440	95	13	}	}	PUNCT
ejpam-3440	95	14	.	.	PUNCT
ejpam-3440	96	1	definition	definition	NOUN
ejpam-3440	96	2	13	13	NUM
ejpam-3440	96	3	.	.	PUNCT
ejpam-3440	97	1	[	[	X
ejpam-3440	97	2	21	21	NUM
ejpam-3440	97	3	]	]	X
ejpam-3440	97	4	the	the	DET
ejpam-3440	97	5	fuzzy	fuzzy	ADJ
ejpam-3440	97	6	soft	soft	ADJ
ejpam-3440	97	7	set	set	NOUN
ejpam-3440	97	8	fa	fa	X
ejpam-3440	97	9	∈	∈	PROPN
ejpam-3440	97	10	fss(x)e	fss(x)e	PROPN
ejpam-3440	97	11	is	be	AUX
ejpam-3440	97	12	called	call	VERB
ejpam-3440	97	13	fuzzy	fuzzy	ADJ
ejpam-3440	97	14	soft	soft	ADJ
ejpam-3440	97	15	point	point	NOUN
ejpam-3440	97	16	if	if	SCONJ
ejpam-3440	97	17	for	for	ADP
ejpam-3440	97	18	the	the	DET
ejpam-3440	97	19	element	element	NOUN
ejpam-3440	97	20	e	e	PROPN
ejpam-3440	97	21	∈	∈	PROPN
ejpam-3440	97	22	e	e	NOUN
ejpam-3440	97	23	,	,	PUNCT
ejpam-3440	97	24	µefa(x	µefa(x	NOUN
ejpam-3440	97	25	)	)	PUNCT
ejpam-3440	97	26	6=	6=	ADP
ejpam-3440	97	27	0	0	NUM
ejpam-3440	98	1	and	and	CCONJ
ejpam-3440	98	2	µe	µe	ADP
ejpam-3440	98	3	′	′	NUM
ejpam-3440	99	1	fa	fa	INTJ
ejpam-3440	100	1	(	(	PUNCT
ejpam-3440	100	2	x	x	X
ejpam-3440	100	3	)	)	PUNCT
ejpam-3440	100	4	=	=	SYM
ejpam-3440	100	5	0	0	NUM
ejpam-3440	100	6	for	for	ADP
ejpam-3440	100	7	each	each	DET
ejpam-3440	100	8	e′	e′	PROPN
ejpam-3440	100	9	∈	∈	PROPN
ejpam-3440	100	10	e−{e	e−{e	PROPN
ejpam-3440	100	11	}	}	PUNCT
ejpam-3440	100	12	,	,	PUNCT
ejpam-3440	100	13	and	and	CCONJ
ejpam-3440	100	14	this	this	DET
ejpam-3440	100	15	fuzzy	fuzzy	ADJ
ejpam-3440	100	16	soft	soft	ADJ
ejpam-3440	100	17	point	point	NOUN
ejpam-3440	100	18	is	be	AUX
ejpam-3440	100	19	denoted	denote	VERB
ejpam-3440	100	20	by	by	ADP
ejpam-3440	100	21	fea	fea	PROPN
ejpam-3440	100	22	.	.	PUNCT
ejpam-3440	101	1	definition	definition	NOUN
ejpam-3440	101	2	14	14	NUM
ejpam-3440	101	3	.	.	PUNCT
ejpam-3440	102	1	[	[	X
ejpam-3440	102	2	21	21	NUM
ejpam-3440	102	3	]	]	X
ejpam-3440	102	4	the	the	DET
ejpam-3440	102	5	fuzzy	fuzzy	ADJ
ejpam-3440	102	6	soft	soft	ADJ
ejpam-3440	102	7	point	point	NOUN
ejpam-3440	102	8	fea	fea	PROPN
ejpam-3440	102	9	is	be	AUX
ejpam-3440	102	10	said	say	VERB
ejpam-3440	102	11	to	to	PART
ejpam-3440	102	12	be	be	AUX
ejpam-3440	102	13	belonging	belong	VERB
ejpam-3440	102	14	to	to	ADP
ejpam-3440	102	15	the	the	DET
ejpam-3440	102	16	fuzzy	fuzzy	ADJ
ejpam-3440	102	17	soft	soft	ADJ
ejpam-3440	102	18	set	set	NOUN
ejpam-3440	102	19	gb	gb	NOUN
ejpam-3440	102	20	,	,	PUNCT
ejpam-3440	102	21	denoted	denote	VERB
ejpam-3440	102	22	by	by	ADP
ejpam-3440	102	23	fea∈̃gb	fea∈̃gb	NOUN
ejpam-3440	102	24	,	,	PUNCT
ejpam-3440	102	25	if	if	SCONJ
ejpam-3440	102	26	for	for	ADP
ejpam-3440	102	27	the	the	DET
ejpam-3440	102	28	element	element	NOUN
ejpam-3440	102	29	e	e	PROPN
ejpam-3440	102	30	∈	∈	PROPN
ejpam-3440	102	31	a	a	DET
ejpam-3440	102	32	∩b	∩b	NOUN
ejpam-3440	102	33	,	,	PUNCT
ejpam-3440	102	34	µefa(x	µefa(x	NOUN
ejpam-3440	102	35	)	)	PUNCT
ejpam-3440	102	36	≤	≤	NOUN
ejpam-3440	102	37	µegb	µegb	NOUN
ejpam-3440	102	38	(	(	PUNCT
ejpam-3440	102	39	x	x	NOUN
ejpam-3440	102	40	)	)	PUNCT
ejpam-3440	102	41	.	.	PUNCT
ejpam-3440	103	1	definition	definition	NOUN
ejpam-3440	103	2	15	15	NUM
ejpam-3440	103	3	.	.	PUNCT
ejpam-3440	104	1	[	[	X
ejpam-3440	104	2	21	21	NUM
ejpam-3440	104	3	]	]	X
ejpam-3440	104	4	a	a	DET
ejpam-3440	104	5	fuzzy	fuzzy	ADJ
ejpam-3440	104	6	soft	soft	ADJ
ejpam-3440	104	7	set	set	NOUN
ejpam-3440	104	8	gb	gb	NOUN
ejpam-3440	104	9	in	in	ADP
ejpam-3440	104	10	a	a	DET
ejpam-3440	104	11	fuzzy	fuzzy	ADJ
ejpam-3440	104	12	soft	soft	ADJ
ejpam-3440	104	13	topological	topological	ADJ
ejpam-3440	104	14	space	space	NOUN
ejpam-3440	104	15	(	(	PUNCT
ejpam-3440	104	16	x	x	X
ejpam-3440	104	17	,	,	PUNCT
ejpam-3440	104	18	t	t	PROPN
ejpam-3440	104	19	,	,	PUNCT
ejpam-3440	104	20	e	e	NOUN
ejpam-3440	104	21	)	)	PUNCT
ejpam-3440	104	22	is	be	AUX
ejpam-3440	104	23	called	call	VERB
ejpam-3440	104	24	a	a	DET
ejpam-3440	104	25	fuzzy	fuzzy	ADJ
ejpam-3440	104	26	soft	soft	ADJ
ejpam-3440	104	27	neighborhood	neighborhood	NOUN
ejpam-3440	104	28	of	of	ADP
ejpam-3440	104	29	the	the	DET
ejpam-3440	104	30	fuzzy	fuzzy	ADJ
ejpam-3440	104	31	soft	soft	ADJ
ejpam-3440	104	32	point	point	NOUN
ejpam-3440	104	33	fea	fea	NOUN
ejpam-3440	104	34	if	if	SCONJ
ejpam-3440	104	35	there	there	PRON
ejpam-3440	104	36	exists	exist	VERB
ejpam-3440	104	37	a	a	DET
ejpam-3440	104	38	fuzzy	fuzzy	ADJ
ejpam-3440	104	39	open	open	ADJ
ejpam-3440	104	40	soft	soft	ADJ
ejpam-3440	104	41	set	set	NOUN
ejpam-3440	104	42	hc	hc	ADP
ejpam-3440	105	1	such	such	ADJ
ejpam-3440	105	2	that	that	SCONJ
ejpam-3440	105	3	fea∈̃hc	fea∈̃hc	NOUN
ejpam-3440	105	4	v	v	PROPN
ejpam-3440	105	5	gb	gb	NOUN
ejpam-3440	105	6	.	.	PUNCT
ejpam-3440	106	1	a	a	DET
ejpam-3440	106	2	fuzzy	fuzzy	ADJ
ejpam-3440	106	3	soft	soft	ADJ
ejpam-3440	106	4	set	set	NOUN
ejpam-3440	106	5	gb	gb	NOUN
ejpam-3440	106	6	in	in	ADP
ejpam-3440	106	7	a	a	DET
ejpam-3440	106	8	fuzzy	fuzzy	ADJ
ejpam-3440	106	9	soft	soft	ADJ
ejpam-3440	106	10	topological	topological	ADJ
ejpam-3440	106	11	space	space	NOUN
ejpam-3440	106	12	(	(	PUNCT
ejpam-3440	106	13	x	x	X
ejpam-3440	106	14	,	,	PUNCT
ejpam-3440	106	15	t	t	PROPN
ejpam-3440	106	16	,	,	PUNCT
ejpam-3440	106	17	e	e	NOUN
ejpam-3440	106	18	)	)	PUNCT
ejpam-3440	106	19	is	be	AUX
ejpam-3440	106	20	called	call	VERB
ejpam-3440	106	21	a	a	DET
ejpam-3440	106	22	fuzzy	fuzzy	ADJ
ejpam-3440	106	23	soft	soft	ADJ
ejpam-3440	106	24	neighborhood	neighborhood	NOUN
ejpam-3440	106	25	of	of	ADP
ejpam-3440	106	26	the	the	DET
ejpam-3440	106	27	fuzzy	fuzzy	ADJ
ejpam-3440	106	28	soft	soft	ADJ
ejpam-3440	106	29	set	set	NOUN
ejpam-3440	106	30	kd	kd	NOUN
ejpam-3440	106	31	if	if	SCONJ
ejpam-3440	106	32	there	there	PRON
ejpam-3440	106	33	exists	exist	VERB
ejpam-3440	106	34	a	a	DET
ejpam-3440	106	35	fuzzy	fuzzy	ADJ
ejpam-3440	106	36	open	open	ADJ
ejpam-3440	106	37	soft	soft	ADJ
ejpam-3440	106	38	set	set	NOUN
ejpam-3440	106	39	hc	hc	ADP
ejpam-3440	106	40	such	such	ADJ
ejpam-3440	106	41	that	that	SCONJ
ejpam-3440	106	42	kd	kd	PROPN
ejpam-3440	106	43	v	v	ADP
ejpam-3440	106	44	hc	hc	PROPN
ejpam-3440	106	45	v	v	NOUN
ejpam-3440	106	46	gb	gb	NOUN
ejpam-3440	106	47	.	.	PUNCT
ejpam-3440	107	1	the	the	DET
ejpam-3440	107	2	fuzzy	fuzzy	ADJ
ejpam-3440	107	3	soft	soft	ADJ
ejpam-3440	107	4	neighborhood	neighborhood	NOUN
ejpam-3440	107	5	system	system	NOUN
ejpam-3440	107	6	of	of	ADP
ejpam-3440	107	7	the	the	DET
ejpam-3440	107	8	fuzzy	fuzzy	ADJ
ejpam-3440	107	9	soft	soft	ADJ
ejpam-3440	107	10	point	point	NOUN
ejpam-3440	107	11	fea	fea	PROPN
ejpam-3440	107	12	,	,	PUNCT
ejpam-3440	107	13	denoted	denote	VERB
ejpam-3440	107	14	by	by	ADP
ejpam-3440	107	15	nt(fea	nt(fea	NOUN
ejpam-3440	107	16	)	)	PUNCT
ejpam-3440	107	17	,	,	PUNCT
ejpam-3440	107	18	is	be	AUX
ejpam-3440	107	19	the	the	DET
ejpam-3440	107	20	family	family	NOUN
ejpam-3440	107	21	of	of	ADP
ejpam-3440	107	22	all	all	DET
ejpam-3440	107	23	its	its	PRON
ejpam-3440	107	24	fuzzy	fuzzy	ADJ
ejpam-3440	107	25	soft	soft	ADJ
ejpam-3440	107	26	neighborhoods	neighborhood	NOUN
ejpam-3440	107	27	.	.	PUNCT
ejpam-3440	108	1	definition	definition	NOUN
ejpam-3440	108	2	16	16	NUM
ejpam-3440	108	3	.	.	PUNCT
ejpam-3440	109	1	[	[	X
ejpam-3440	109	2	21	21	NUM
ejpam-3440	109	3	]	]	X
ejpam-3440	109	4	let	let	VERB
ejpam-3440	109	5	(	(	PUNCT
ejpam-3440	109	6	x	x	X
ejpam-3440	109	7	,	,	PUNCT
ejpam-3440	109	8	t	t	PROPN
ejpam-3440	109	9	,	,	PUNCT
ejpam-3440	109	10	e	e	NOUN
ejpam-3440	109	11	)	)	PUNCT
ejpam-3440	109	12	be	be	AUX
ejpam-3440	109	13	a	a	DET
ejpam-3440	109	14	fuzzy	fuzzy	ADJ
ejpam-3440	109	15	soft	soft	ADJ
ejpam-3440	109	16	topological	topological	ADJ
ejpam-3440	109	17	space	space	NOUN
ejpam-3440	109	18	and	and	CCONJ
ejpam-3440	109	19	y	y	PROPN
ejpam-3440	109	20	⊆	⊆	NUM
ejpam-3440	109	21	x.	x.	NOUN
ejpam-3440	109	22	let	let	VERB
ejpam-3440	109	23	hye	hye	PROPN
ejpam-3440	109	24	be	be	AUX
ejpam-3440	109	25	a	a	DET
ejpam-3440	109	26	fuzzy	fuzzy	ADJ
ejpam-3440	109	27	soft	soft	ADJ
ejpam-3440	109	28	set	set	NOUN
ejpam-3440	109	29	over	over	ADP
ejpam-3440	109	30	(	(	PUNCT
ejpam-3440	109	31	y	y	NOUN
ejpam-3440	109	32	,	,	PUNCT
ejpam-3440	109	33	e	e	NOUN
ejpam-3440	109	34	)	)	PUNCT
ejpam-3440	109	35	such	such	ADJ
ejpam-3440	109	36	that	that	SCONJ
ejpam-3440	109	37	hye	hye	PROPN
ejpam-3440	109	38	:	:	PUNCT
ejpam-3440	109	39	e	e	X
ejpam-3440	109	40	→	→	PUNCT
ejpam-3440	109	41	iy	iy	PROPN
ejpam-3440	109	42	such	such	ADJ
ejpam-3440	109	43	that	that	DET
ejpam-3440	109	44	hye(e	hye(e	NOUN
ejpam-3440	109	45	)	)	PUNCT
ejpam-3440	109	46	=	=	PUNCT
ejpam-3440	110	1	µe	µe	ADP
ejpam-3440	110	2	hye	hye	PROPN
ejpam-3440	110	3	,	,	PUNCT
ejpam-3440	110	4	where	where	SCONJ
ejpam-3440	110	5	µe	µe	ADV
ejpam-3440	110	6	hye	hye	PROPN
ejpam-3440	110	7	(	(	PUNCT
ejpam-3440	110	8	x	x	NOUN
ejpam-3440	110	9	)	)	PUNCT
ejpam-3440	110	10	=	=	SYM
ejpam-3440	110	11	{	{	PUNCT
ejpam-3440	110	12	1	1	NUM
ejpam-3440	110	13	,	,	PUNCT
ejpam-3440	110	14	x	x	PUNCT
ejpam-3440	110	15	∈	∈	PROPN
ejpam-3440	110	16	y	y	PROPN
ejpam-3440	110	17	,	,	PUNCT
ejpam-3440	110	18	0	0	NUM
ejpam-3440	110	19	,	,	PUNCT
ejpam-3440	110	20	x	x	PROPN
ejpam-3440	110	21	6∈	6∈	PROPN
ejpam-3440	110	22	y.	y.	NOUN
ejpam-3440	110	23	let	let	VERB
ejpam-3440	110	24	ty	ty	NOUN
ejpam-3440	110	25	=	=	SYM
ejpam-3440	110	26	{	{	PUNCT
ejpam-3440	110	27	hye	hye	PROPN
ejpam-3440	110	28	u	u	PROPN
ejpam-3440	110	29	gb	gb	NOUN
ejpam-3440	110	30	:	:	PUNCT
ejpam-3440	110	31	gb	gb	ADP
ejpam-3440	110	32	∈	∈	PROPN
ejpam-3440	110	33	t	t	PROPN
ejpam-3440	110	34	}	}	PUNCT
ejpam-3440	110	35	,	,	PUNCT
ejpam-3440	110	36	then	then	ADV
ejpam-3440	110	37	the	the	DET
ejpam-3440	110	38	fuzzy	fuzzy	ADJ
ejpam-3440	110	39	soft	soft	ADJ
ejpam-3440	110	40	topology	topology	NOUN
ejpam-3440	110	41	ty	ty	INTJ
ejpam-3440	110	42	on	on	ADP
ejpam-3440	110	43	(	(	PUNCT
ejpam-3440	110	44	y	y	NOUN
ejpam-3440	110	45	,	,	PUNCT
ejpam-3440	110	46	e)is	e)is	PROPN
ejpam-3440	110	47	called	call	VERB
ejpam-3440	110	48	fuzzy	fuzzy	ADJ
ejpam-3440	110	49	soft	soft	ADJ
ejpam-3440	110	50	subspace	subspace	NOUN
ejpam-3440	110	51	topology	topology	NOUN
ejpam-3440	110	52	for	for	ADP
ejpam-3440	110	53	(	(	PUNCT
ejpam-3440	110	54	y	y	PROPN
ejpam-3440	110	55	,	,	PUNCT
ejpam-3440	110	56	e	e	NOUN
ejpam-3440	110	57	)	)	PUNCT
ejpam-3440	110	58	and	and	CCONJ
ejpam-3440	110	59	(	(	PUNCT
ejpam-3440	110	60	y	y	PROPN
ejpam-3440	110	61	,	,	PUNCT
ejpam-3440	110	62	ty	ty	INTJ
ejpam-3440	110	63	,	,	PUNCT
ejpam-3440	110	64	e	e	NOUN
ejpam-3440	110	65	)	)	PUNCT
ejpam-3440	110	66	is	be	AUX
ejpam-3440	110	67	called	call	VERB
ejpam-3440	110	68	fuzzy	fuzzy	ADJ
ejpam-3440	110	69	soft	soft	ADJ
ejpam-3440	110	70	subspace	subspace	NOUN
ejpam-3440	110	71	of	of	ADP
ejpam-3440	110	72	(	(	PUNCT
ejpam-3440	110	73	x	x	PROPN
ejpam-3440	110	74	,	,	PUNCT
ejpam-3440	110	75	t	t	PROPN
ejpam-3440	110	76	,	,	PUNCT
ejpam-3440	110	77	e	e	NOUN
ejpam-3440	110	78	)	)	PUNCT
ejpam-3440	110	79	.	.	PUNCT
ejpam-3440	111	1	if	if	SCONJ
ejpam-3440	111	2	hye	hye	PROPN
ejpam-3440	111	3	∈	∈	PROPN
ejpam-3440	111	4	t	t	PROPN
ejpam-3440	111	5	(	(	PUNCT
ejpam-3440	111	6	resp	resp	NOUN
ejpam-3440	111	7	.	.	PUNCT
ejpam-3440	112	1	hye	hye	PROPN
ejpam-3440	112	2	∈	∈	PROPN
ejpam-3440	112	3	t	t	PROPN
ejpam-3440	112	4	c	c	PROPN
ejpam-3440	112	5	)	)	PUNCT
ejpam-3440	112	6	,	,	PUNCT
ejpam-3440	112	7	then	then	ADV
ejpam-3440	112	8	(	(	PUNCT
ejpam-3440	112	9	y	y	NOUN
ejpam-3440	112	10	,	,	PUNCT
ejpam-3440	112	11	ty	ty	INTJ
ejpam-3440	112	12	,	,	PUNCT
ejpam-3440	112	13	e	e	NOUN
ejpam-3440	112	14	)	)	PUNCT
ejpam-3440	112	15	is	be	AUX
ejpam-3440	112	16	called	call	VERB
ejpam-3440	112	17	fuzzy	fuzzy	ADJ
ejpam-3440	112	18	open	open	ADJ
ejpam-3440	112	19	(	(	PUNCT
ejpam-3440	112	20	resp	resp	NOUN
ejpam-3440	112	21	.	.	PUNCT
ejpam-3440	113	1	closed	closed	ADJ
ejpam-3440	113	2	)	)	PUNCT
ejpam-3440	113	3	soft	soft	ADJ
ejpam-3440	113	4	subspace	subspace	NOUN
ejpam-3440	113	5	of	of	ADP
ejpam-3440	113	6	(	(	PUNCT
ejpam-3440	113	7	x	x	PROPN
ejpam-3440	113	8	,	,	PUNCT
ejpam-3440	113	9	t	t	PROPN
ejpam-3440	113	10	,	,	PUNCT
ejpam-3440	113	11	e	e	NOUN
ejpam-3440	113	12	)	)	PUNCT
ejpam-3440	113	13	.	.	PUNCT
ejpam-3440	114	1	definition	definition	NOUN
ejpam-3440	114	2	17	17	NUM
ejpam-3440	114	3	.	.	PUNCT
ejpam-3440	115	1	[	[	X
ejpam-3440	115	2	8	8	NUM
ejpam-3440	115	3	]	]	PUNCT
ejpam-3440	115	4	let	let	VERB
ejpam-3440	115	5	fss(x)e	fss(x)e	ADJ
ejpam-3440	115	6	and	and	CCONJ
ejpam-3440	115	7	fss(y	fss(y	PROPN
ejpam-3440	115	8	)	)	PUNCT
ejpam-3440	116	1	k	k	X
ejpam-3440	116	2	be	be	VERB
ejpam-3440	116	3	families	family	NOUN
ejpam-3440	116	4	of	of	ADP
ejpam-3440	116	5	fuzzy	fuzzy	ADJ
ejpam-3440	116	6	soft	soft	ADJ
ejpam-3440	116	7	sets	set	NOUN
ejpam-3440	116	8	over	over	ADP
ejpam-3440	116	9	x	x	PUNCT
ejpam-3440	116	10	and	and	CCONJ
ejpam-3440	116	11	y	y	PROPN
ejpam-3440	116	12	,	,	PUNCT
ejpam-3440	116	13	respectively	respectively	ADV
ejpam-3440	116	14	.	.	PUNCT
ejpam-3440	117	1	let	let	VERB
ejpam-3440	117	2	u	u	PRON
ejpam-3440	117	3	:	:	PUNCT
ejpam-3440	117	4	x	x	SYM
ejpam-3440	117	5	→	→	SYM
ejpam-3440	117	6	y	y	PROPN
ejpam-3440	117	7	and	and	CCONJ
ejpam-3440	117	8	p	p	X
ejpam-3440	117	9	:	:	PUNCT
ejpam-3440	117	10	e	e	X
ejpam-3440	117	11	→	→	SYM
ejpam-3440	117	12	k	k	X
ejpam-3440	117	13	be	be	AUX
ejpam-3440	117	14	mappings	mapping	NOUN
ejpam-3440	117	15	.	.	PUNCT
ejpam-3440	118	1	then	then	ADV
ejpam-3440	118	2	,	,	PUNCT
ejpam-3440	118	3	the	the	DET
ejpam-3440	118	4	map	map	NOUN
ejpam-3440	118	5	fpu	fpu	PROPN
ejpam-3440	118	6	is	be	AUX
ejpam-3440	118	7	called	call	VERB
ejpam-3440	118	8	a	a	DET
ejpam-3440	118	9	fuzzy	fuzzy	ADJ
ejpam-3440	118	10	soft	soft	ADJ
ejpam-3440	118	11	mapping	mapping	NOUN
ejpam-3440	118	12	from	from	ADP
ejpam-3440	118	13	x	x	PUNCT
ejpam-3440	118	14	to	to	ADP
ejpam-3440	118	15	y	y	PROPN
ejpam-3440	118	16	and	and	CCONJ
ejpam-3440	118	17	denoted	denote	VERB
ejpam-3440	118	18	by	by	ADP
ejpam-3440	118	19	fpu	fpu	PROPN
ejpam-3440	118	20	:	:	PUNCT
ejpam-3440	118	21	fss(x)e	fss(x)e	ADJ
ejpam-3440	118	22	→	→	SYM
ejpam-3440	118	23	fss(y	fss(y	PROPN
ejpam-3440	118	24	)	)	PUNCT
ejpam-3440	118	25	k	k	NOUN
ejpam-3440	118	26	such	such	ADJ
ejpam-3440	118	27	that	that	PRON
ejpam-3440	118	28	,	,	PUNCT
ejpam-3440	118	29	(	(	PUNCT
ejpam-3440	118	30	1	1	X
ejpam-3440	118	31	)	)	PUNCT
ejpam-3440	118	32	if	if	SCONJ
ejpam-3440	118	33	fa	fa	PROPN
ejpam-3440	118	34	∈	∈	PROPN
ejpam-3440	118	35	fss(x)e	fss(x)e	PROPN
ejpam-3440	118	36	.	.	PUNCT
ejpam-3440	119	1	then	then	ADV
ejpam-3440	119	2	,	,	PUNCT
ejpam-3440	119	3	the	the	DET
ejpam-3440	119	4	image	image	NOUN
ejpam-3440	119	5	of	of	ADP
ejpam-3440	119	6	fa	fa	INTJ
ejpam-3440	119	7	under	under	ADP
ejpam-3440	119	8	the	the	DET
ejpam-3440	119	9	fuzzy	fuzzy	ADJ
ejpam-3440	119	10	soft	soft	ADJ
ejpam-3440	119	11	mapping	mapping	NOUN
ejpam-3440	119	12	fpu	fpu	NOUN
ejpam-3440	119	13	is	be	AUX
ejpam-3440	119	14	the	the	DET
ejpam-3440	119	15	fuzzy	fuzzy	ADJ
ejpam-3440	119	16	soft	soft	ADJ
ejpam-3440	119	17	set	set	NOUN
ejpam-3440	119	18	over	over	ADP
ejpam-3440	119	19	y	y	PROPN
ejpam-3440	119	20	defined	define	VERB
ejpam-3440	119	21	by	by	ADP
ejpam-3440	119	22	fpu(fa	fpu(fa	NOUN
ejpam-3440	119	23	)	)	PUNCT
ejpam-3440	119	24	,	,	PUNCT
ejpam-3440	119	25	where	where	SCONJ
ejpam-3440	119	26	∀	∀	X
ejpam-3440	119	27	k	k	X
ejpam-3440	119	28	∈	∈	PROPN
ejpam-3440	119	29	p(e	p(e	PROPN
ejpam-3440	119	30	)	)	PUNCT
ejpam-3440	119	31	,	,	PUNCT
ejpam-3440	119	32	∀	∀	PUNCT
ejpam-3440	119	33	y	y	PROPN
ejpam-3440	119	34	∈	∈	PROPN
ejpam-3440	119	35	y	y	PROPN
ejpam-3440	119	36	,	,	PUNCT
ejpam-3440	119	37	fpu(fa)(k)(y	fpu(fa)(k)(y	PROPN
ejpam-3440	119	38	)	)	PUNCT
ejpam-3440	119	39	=	=	PRON
ejpam-3440	119	40	{	{	PUNCT
ejpam-3440	119	41	∨	∨	NUM
ejpam-3440	119	42	u(x)=y	u(x)=y	NOUN
ejpam-3440	119	43	[	[	X
ejpam-3440	119	44	∨p(e)=k(fa(e))](x	∨p(e)=k(fa(e))](x	NOUN
ejpam-3440	119	45	)	)	PUNCT
ejpam-3440	119	46	,	,	PUNCT
ejpam-3440	119	47	x	x	PUNCT
ejpam-3440	119	48	∈	∈	PROPN
ejpam-3440	119	49	u−1(y	u−1(y	PROPN
ejpam-3440	119	50	)	)	PUNCT
ejpam-3440	119	51	,	,	PUNCT
ejpam-3440	119	52	0	0	NUM
ejpam-3440	119	53	,	,	PUNCT
ejpam-3440	119	54	otherwise	otherwise	ADV
ejpam-3440	119	55	.	.	PUNCT
ejpam-3440	120	1	(	(	PUNCT
ejpam-3440	120	2	2	2	X
ejpam-3440	120	3	)	)	PUNCT
ejpam-3440	120	4	if	if	SCONJ
ejpam-3440	120	5	gb	gb	ADV
ejpam-3440	120	6	∈	∈	PROPN
ejpam-3440	120	7	fss(y	fss(y	PROPN
ejpam-3440	120	8	)	)	PUNCT
ejpam-3440	121	1	k	k	NOUN
ejpam-3440	121	2	,	,	PUNCT
ejpam-3440	121	3	then	then	ADV
ejpam-3440	121	4	the	the	DET
ejpam-3440	121	5	pre	pre	NOUN
ejpam-3440	121	6	-	-	NOUN
ejpam-3440	121	7	image	image	NOUN
ejpam-3440	121	8	of	of	ADP
ejpam-3440	121	9	gb	gb	PRON
ejpam-3440	121	10	under	under	ADP
ejpam-3440	121	11	the	the	DET
ejpam-3440	121	12	fuzzy	fuzzy	ADJ
ejpam-3440	121	13	soft	soft	ADJ
ejpam-3440	121	14	mapping	mapping	NOUN
ejpam-3440	121	15	fpu	fpu	NOUN
ejpam-3440	121	16	is	be	AUX
ejpam-3440	121	17	the	the	DET
ejpam-3440	121	18	fuzzy	fuzzy	ADJ
ejpam-3440	121	19	soft	soft	ADJ
ejpam-3440	121	20	set	set	NOUN
ejpam-3440	121	21	over	over	ADP
ejpam-3440	121	22	x	x	PUNCT
ejpam-3440	121	23	defined	define	VERB
ejpam-3440	121	24	by	by	ADP
ejpam-3440	121	25	f−1	f−1	PROPN
ejpam-3440	121	26	pu	pu	PROPN
ejpam-3440	121	27	(	(	PUNCT
ejpam-3440	121	28	gb	gb	NOUN
ejpam-3440	121	29	)	)	PUNCT
ejpam-3440	121	30	,	,	PUNCT
ejpam-3440	121	31	where	where	SCONJ
ejpam-3440	121	32	∀	∀	X
ejpam-3440	121	33	e	e	X
ejpam-3440	121	34	∈	∈	PROPN
ejpam-3440	121	35	p−1(k	p−1(k	PROPN
ejpam-3440	121	36	)	)	PUNCT
ejpam-3440	121	37	,	,	PUNCT
ejpam-3440	121	38	∀	∀	PUNCT
ejpam-3440	122	1	x	x	SYM
ejpam-3440	122	2	∈	∈	NOUN
ejpam-3440	122	3	x	x	X
ejpam-3440	122	4	,	,	PUNCT
ejpam-3440	122	5	f−1	f−1	PROPN
ejpam-3440	122	6	pu	pu	PROPN
ejpam-3440	122	7	(	(	PUNCT
ejpam-3440	122	8	gb)(e)(x	gb)(e)(x	NOUN
ejpam-3440	122	9	)	)	PUNCT
ejpam-3440	122	10	=	=	NOUN
ejpam-3440	122	11	{	{	PUNCT
ejpam-3440	122	12	gb(p(e))(u(x	gb(p(e))(u(x	NOUN
ejpam-3440	122	13	)	)	PUNCT
ejpam-3440	122	14	)	)	PUNCT
ejpam-3440	122	15	,	,	PUNCT
ejpam-3440	122	16	p(e	p(e	NOUN
ejpam-3440	122	17	)	)	PUNCT
ejpam-3440	122	18	∈	∈	PROPN
ejpam-3440	122	19	b	b	PROPN
ejpam-3440	122	20	,	,	PUNCT
ejpam-3440	122	21	0	0	NUM
ejpam-3440	122	22	,	,	PUNCT
ejpam-3440	122	23	otherwise	otherwise	ADV
ejpam-3440	122	24	.	.	PUNCT
ejpam-3440	123	1	a.	a.	PROPN
ejpam-3440	123	2	m.	m.	PROPN
ejpam-3440	123	3	abd	abd	PROPN
ejpam-3440	123	4	el	el	PROPN
ejpam-3440	123	5	-	-	PROPN
ejpam-3440	123	6	latif	latif	PROPN
ejpam-3440	123	7	/	/	SYM
ejpam-3440	123	8	eur	eur	PROPN
ejpam-3440	123	9	.	.	PUNCT
ejpam-3440	124	1	j.	j.	PROPN
ejpam-3440	124	2	pure	pure	PROPN
ejpam-3440	124	3	appl	appl	PROPN
ejpam-3440	124	4	.	.	PROPN
ejpam-3440	124	5	math	math	PROPN
ejpam-3440	124	6	,	,	PUNCT
ejpam-3440	124	7	12	12	NUM
ejpam-3440	124	8	(	(	PUNCT
ejpam-3440	124	9	3	3	NUM
ejpam-3440	124	10	)	)	PUNCT
ejpam-3440	124	11	(	(	PUNCT
ejpam-3440	124	12	2019	2019	NUM
ejpam-3440	124	13	)	)	PUNCT
ejpam-3440	124	14	,	,	PUNCT
ejpam-3440	124	15	999	999	NUM
ejpam-3440	124	16	-	-	SYM
ejpam-3440	124	17	1017	1017	NUM
ejpam-3440	124	18	1003	1003	NUM
ejpam-3440	124	19	the	the	DET
ejpam-3440	124	20	fuzzy	fuzzy	ADJ
ejpam-3440	124	21	soft	soft	ADJ
ejpam-3440	124	22	mapping	mapping	NOUN
ejpam-3440	124	23	fpu	fpu	NOUN
ejpam-3440	124	24	is	be	AUX
ejpam-3440	124	25	called	call	VERB
ejpam-3440	124	26	surjective	surjective	ADJ
ejpam-3440	124	27	(	(	PUNCT
ejpam-3440	124	28	resp	resp	NOUN
ejpam-3440	124	29	.	.	PUNCT
ejpam-3440	125	1	injective	injective	ADJ
ejpam-3440	125	2	)	)	PUNCT
ejpam-3440	125	3	if	if	SCONJ
ejpam-3440	125	4	p	p	NOUN
ejpam-3440	125	5	and	and	CCONJ
ejpam-3440	125	6	u	u	NOUN
ejpam-3440	125	7	are	be	AUX
ejpam-3440	125	8	surjective	surjective	ADJ
ejpam-3440	125	9	(	(	PUNCT
ejpam-3440	125	10	resp	resp	NOUN
ejpam-3440	125	11	.	.	PUNCT
ejpam-3440	126	1	injective	injective	ADJ
ejpam-3440	126	2	)	)	PUNCT
ejpam-3440	126	3	,	,	PUNCT
ejpam-3440	126	4	also	also	ADV
ejpam-3440	126	5	it	it	PRON
ejpam-3440	126	6	is	be	AUX
ejpam-3440	126	7	said	say	VERB
ejpam-3440	126	8	to	to	PART
ejpam-3440	126	9	be	be	AUX
ejpam-3440	126	10	constant	constant	ADJ
ejpam-3440	126	11	if	if	SCONJ
ejpam-3440	126	12	p	p	NOUN
ejpam-3440	126	13	and	and	CCONJ
ejpam-3440	126	14	u	u	NOUN
ejpam-3440	126	15	are	be	AUX
ejpam-3440	126	16	constant	constant	ADJ
ejpam-3440	126	17	.	.	PUNCT
ejpam-3440	127	1	definition	definition	NOUN
ejpam-3440	127	2	18	18	NUM
ejpam-3440	127	3	.	.	PUNCT
ejpam-3440	128	1	let	let	AUX
ejpam-3440	128	2	(	(	PUNCT
ejpam-3440	128	3	x	x	NOUN
ejpam-3440	128	4	,	,	PUNCT
ejpam-3440	128	5	t1	t1	NOUN
ejpam-3440	128	6	,	,	PUNCT
ejpam-3440	128	7	e	e	NOUN
ejpam-3440	128	8	)	)	PUNCT
ejpam-3440	128	9	and	and	CCONJ
ejpam-3440	128	10	(	(	PUNCT
ejpam-3440	128	11	y	y	NOUN
ejpam-3440	128	12	,	,	PUNCT
ejpam-3440	128	13	t2,k	t2,k	PROPN
ejpam-3440	128	14	)	)	PUNCT
ejpam-3440	128	15	be	be	VERB
ejpam-3440	128	16	two	two	NUM
ejpam-3440	128	17	fuzzy	fuzzy	ADJ
ejpam-3440	128	18	soft	soft	ADJ
ejpam-3440	128	19	topological	topological	ADJ
ejpam-3440	128	20	spaces	space	NOUN
ejpam-3440	128	21	and	and	CCONJ
ejpam-3440	128	22	fpu	fpu	NOUN
ejpam-3440	128	23	:	:	PUNCT
ejpam-3440	128	24	fss(x)e	fss(x)e	ADJ
ejpam-3440	128	25	→	→	SYM
ejpam-3440	128	26	fss(y	fss(y	PROPN
ejpam-3440	128	27	)	)	PUNCT
ejpam-3440	128	28	k	k	X
ejpam-3440	128	29	be	be	AUX
ejpam-3440	128	30	a	a	DET
ejpam-3440	128	31	fuzzy	fuzzy	ADJ
ejpam-3440	128	32	soft	soft	ADJ
ejpam-3440	128	33	mapping	mapping	NOUN
ejpam-3440	128	34	.	.	PUNCT
ejpam-3440	129	1	then	then	ADV
ejpam-3440	129	2	,	,	PUNCT
ejpam-3440	129	3	fpu	fpu	PROPN
ejpam-3440	129	4	is	be	AUX
ejpam-3440	129	5	called	call	VERB
ejpam-3440	129	6	(	(	PUNCT
ejpam-3440	129	7	1	1	NUM
ejpam-3440	129	8	)	)	PUNCT
ejpam-3440	130	1	[	[	X
ejpam-3440	130	2	8]fuzzy	8]fuzzy	NUM
ejpam-3440	130	3	soft	soft	ADJ
ejpam-3440	130	4	continuous	continuous	ADJ
ejpam-3440	130	5	if	if	SCONJ
ejpam-3440	130	6	f−1	f−1	PROPN
ejpam-3440	130	7	pu	pu	PROPN
ejpam-3440	130	8	(	(	PUNCT
ejpam-3440	130	9	gb	gb	NOUN
ejpam-3440	130	10	)	)	PUNCT
ejpam-3440	130	11	∈	∈	NOUN
ejpam-3440	130	12	t1	t1	NOUN
ejpam-3440	130	13	∀	∀	PUNCT
ejpam-3440	130	14	gb	gb	ADP
ejpam-3440	130	15	∈	∈	PROPN
ejpam-3440	130	16	t2	t2	NOUN
ejpam-3440	130	17	.	.	PUNCT
ejpam-3440	131	1	(	(	PUNCT
ejpam-3440	131	2	2	2	X
ejpam-3440	131	3	)	)	PUNCT
ejpam-3440	131	4	[	[	X
ejpam-3440	131	5	15]fuzzy	15]fuzzy	NUM
ejpam-3440	131	6	open	open	ADJ
ejpam-3440	131	7	soft	soft	ADJ
ejpam-3440	131	8	if	if	SCONJ
ejpam-3440	131	9	fpu(ga	fpu(ga	NOUN
ejpam-3440	131	10	)	)	PUNCT
ejpam-3440	131	11	∈	∈	PROPN
ejpam-3440	131	12	t2∀	t2∀	PUNCT
ejpam-3440	131	13	ga	ga	PROPN
ejpam-3440	131	14	∈	∈	PROPN
ejpam-3440	131	15	t1	t1	PROPN
ejpam-3440	131	16	.	.	PUNCT
ejpam-3440	132	1	(	(	PUNCT
ejpam-3440	132	2	)	)	PUNCT
ejpam-3440	133	1	[	[	X
ejpam-3440	133	2	15]fuzzy	15]fuzzy	NUM
ejpam-3440	133	3	closed	close	VERB
ejpam-3440	133	4	soft	soft	ADJ
ejpam-3440	133	5	if	if	SCONJ
ejpam-3440	133	6	fpu(hb	fpu(hb	NOUN
ejpam-3440	133	7	)	)	PUNCT
ejpam-3440	133	8	∈	∈	PROPN
ejpam-3440	133	9	tc	tc	NOUN
ejpam-3440	133	10	2∀	2∀	NUM
ejpam-3440	133	11	hb	hb	X
ejpam-3440	133	12	∈	∈	PROPN
ejpam-3440	133	13	tc	tc	NOUN
ejpam-3440	133	14	1	1	NUM
ejpam-3440	133	15	.	.	PUNCT
ejpam-3440	133	16	theorem	theorem	NOUN
ejpam-3440	133	17	1	1	NUM
ejpam-3440	133	18	.	.	PUNCT
ejpam-3440	134	1	[	[	X
ejpam-3440	134	2	8	8	NUM
ejpam-3440	134	3	]	]	PUNCT
ejpam-3440	134	4	let	let	VERB
ejpam-3440	134	5	fss(x)e	fss(x)e	ADJ
ejpam-3440	134	6	and	and	CCONJ
ejpam-3440	134	7	fss(y	fss(y	PROPN
ejpam-3440	134	8	)	)	PUNCT
ejpam-3440	135	1	k	k	X
ejpam-3440	135	2	be	be	VERB
ejpam-3440	135	3	two	two	NUM
ejpam-3440	135	4	families	family	NOUN
ejpam-3440	135	5	of	of	ADP
ejpam-3440	135	6	fuzzy	fuzzy	ADJ
ejpam-3440	135	7	soft	soft	ADJ
ejpam-3440	135	8	sets	set	NOUN
ejpam-3440	135	9	.	.	PUNCT
ejpam-3440	136	1	for	for	ADP
ejpam-3440	136	2	the	the	DET
ejpam-3440	136	3	fuzzy	fuzzy	ADJ
ejpam-3440	136	4	soft	soft	ADJ
ejpam-3440	136	5	function	function	NOUN
ejpam-3440	136	6	fpu	fpu	NOUN
ejpam-3440	136	7	:	:	PUNCT
ejpam-3440	136	8	fss(x)e	fss(x)e	ADJ
ejpam-3440	136	9	→	→	SYM
ejpam-3440	136	10	fss(y	fss(y	PROPN
ejpam-3440	136	11	)	)	PUNCT
ejpam-3440	136	12	k	k	NOUN
ejpam-3440	136	13	,	,	PUNCT
ejpam-3440	136	14	the	the	DET
ejpam-3440	136	15	following	following	ADJ
ejpam-3440	136	16	statements	statement	NOUN
ejpam-3440	136	17	hold	hold	VERB
ejpam-3440	136	18	,	,	PUNCT
ejpam-3440	136	19	(	(	PUNCT
ejpam-3440	136	20	a	a	X
ejpam-3440	136	21	)	)	PUNCT
ejpam-3440	136	22	f−1	f−1	PROPN
ejpam-3440	136	23	pu	pu	NOUN
ejpam-3440	136	24	(	(	PUNCT
ejpam-3440	136	25	(	(	PUNCT
ejpam-3440	136	26	gb)c	gb)c	X
ejpam-3440	136	27	)	)	PUNCT
ejpam-3440	136	28	=	=	NOUN
ejpam-3440	137	1	(	(	PUNCT
ejpam-3440	137	2	f−1	f−1	PROPN
ejpam-3440	137	3	pu	pu	PROPN
ejpam-3440	137	4	(	(	PUNCT
ejpam-3440	137	5	gb))c∀	gb))c∀	PROPN
ejpam-3440	137	6	gb	gb	ADP
ejpam-3440	137	7	∈	∈	PROPN
ejpam-3440	137	8	fss(y	fss(y	PROPN
ejpam-3440	137	9	)	)	PUNCT
ejpam-3440	137	10	k	k	PROPN
ejpam-3440	137	11	.	.	PUNCT
ejpam-3440	138	1	(	(	PUNCT
ejpam-3440	138	2	b	b	X
ejpam-3440	138	3	)	)	PUNCT
ejpam-3440	138	4	fpu(f−1	fpu(f−1	PROPN
ejpam-3440	138	5	pu	pu	NOUN
ejpam-3440	138	6	(	(	PUNCT
ejpam-3440	138	7	(	(	PUNCT
ejpam-3440	138	8	gb	gb	NOUN
ejpam-3440	138	9	)	)	PUNCT
ejpam-3440	138	10	)	)	PUNCT
ejpam-3440	138	11	)	)	PUNCT
ejpam-3440	139	1	v	v	ADP
ejpam-3440	139	2	gb∀	gb∀	PROPN
ejpam-3440	139	3	gb	gb	ADP
ejpam-3440	139	4	∈	∈	PROPN
ejpam-3440	139	5	fss(y	fss(y	PROPN
ejpam-3440	139	6	)	)	PUNCT
ejpam-3440	139	7	k	k	X
ejpam-3440	139	8	.	.	PUNCT
ejpam-3440	140	1	if	if	SCONJ
ejpam-3440	140	2	fpu	fpu	PROPN
ejpam-3440	140	3	is	be	AUX
ejpam-3440	140	4	surjective	surjective	ADJ
ejpam-3440	140	5	,	,	PUNCT
ejpam-3440	140	6	then	then	ADV
ejpam-3440	140	7	the	the	DET
ejpam-3440	140	8	equality	equality	NOUN
ejpam-3440	140	9	holds	hold	VERB
ejpam-3440	140	10	.	.	PUNCT
ejpam-3440	141	1	(	(	PUNCT
ejpam-3440	141	2	c	c	X
ejpam-3440	141	3	)	)	PUNCT
ejpam-3440	141	4	fa	fa	NOUN
ejpam-3440	141	5	v	v	NUM
ejpam-3440	141	6	f−1	f−1	PROPN
ejpam-3440	141	7	pu	pu	PROPN
ejpam-3440	141	8	(	(	PUNCT
ejpam-3440	141	9	fpu(fa))∀	fpu(fa))∀	ADP
ejpam-3440	141	10	fa	fa	PROPN
ejpam-3440	141	11	∈	∈	PROPN
ejpam-3440	141	12	fss(x)e	fss(x)e	PROPN
ejpam-3440	141	13	.	.	PUNCT
ejpam-3440	142	1	if	if	SCONJ
ejpam-3440	142	2	fpu	fpu	PROPN
ejpam-3440	142	3	is	be	AUX
ejpam-3440	142	4	injective	injective	ADJ
ejpam-3440	142	5	,	,	PUNCT
ejpam-3440	142	6	then	then	ADV
ejpam-3440	142	7	the	the	DET
ejpam-3440	142	8	equality	equality	NOUN
ejpam-3440	142	9	holds	hold	VERB
ejpam-3440	142	10	.	.	PUNCT
ejpam-3440	143	1	(	(	PUNCT
ejpam-3440	143	2	d	d	X
ejpam-3440	143	3	)	)	PUNCT
ejpam-3440	143	4	fpu(0̃e	fpu(0̃e	PROPN
ejpam-3440	143	5	)	)	PUNCT
ejpam-3440	144	1	=	=	SYM
ejpam-3440	144	2	0̃k	0̃k	NOUN
ejpam-3440	144	3	,	,	PUNCT
ejpam-3440	144	4	fpu(1̃e	fpu(1̃e	PROPN
ejpam-3440	144	5	)	)	PUNCT
ejpam-3440	144	6	v	v	ADP
ejpam-3440	144	7	1̃k	1̃k	PROPN
ejpam-3440	144	8	.	.	PUNCT
ejpam-3440	145	1	if	if	SCONJ
ejpam-3440	145	2	fpu	fpu	PROPN
ejpam-3440	145	3	is	be	AUX
ejpam-3440	145	4	surjective	surjective	ADJ
ejpam-3440	145	5	,	,	PUNCT
ejpam-3440	145	6	then	then	ADV
ejpam-3440	145	7	the	the	DET
ejpam-3440	145	8	equality	equality	NOUN
ejpam-3440	145	9	holds	hold	VERB
ejpam-3440	145	10	.	.	PUNCT
ejpam-3440	146	1	(	(	PUNCT
ejpam-3440	146	2	e	e	X
ejpam-3440	146	3	)	)	PUNCT
ejpam-3440	146	4	f−1	f−1	PROPN
ejpam-3440	146	5	pu	pu	PROPN
ejpam-3440	146	6	(	(	PUNCT
ejpam-3440	146	7	1̃k	1̃k	PROPN
ejpam-3440	146	8	)	)	PUNCT
ejpam-3440	146	9	=	=	SYM
ejpam-3440	146	10	1̃e	1̃e	PROPN
ejpam-3440	146	11	and	and	CCONJ
ejpam-3440	146	12	f−1	f−1	PROPN
ejpam-3440	146	13	pu	pu	PROPN
ejpam-3440	146	14	(	(	PUNCT
ejpam-3440	146	15	0̃k	0̃k	NOUN
ejpam-3440	146	16	)	)	PUNCT
ejpam-3440	146	17	=	=	SYM
ejpam-3440	146	18	0̃e	0̃e	PROPN
ejpam-3440	146	19	.	.	PUNCT
ejpam-3440	147	1	(	(	PUNCT
ejpam-3440	147	2	f	f	X
ejpam-3440	147	3	)	)	PUNCT
ejpam-3440	147	4	if	if	SCONJ
ejpam-3440	147	5	fa	fa	PROPN
ejpam-3440	147	6	v	v	ADP
ejpam-3440	147	7	ga	ga	PROPN
ejpam-3440	147	8	,	,	PUNCT
ejpam-3440	147	9	then	then	ADV
ejpam-3440	147	10	fpu(fa	fpu(fa	NOUN
ejpam-3440	147	11	)	)	PUNCT
ejpam-3440	147	12	v	v	NOUN
ejpam-3440	147	13	fpu(ga	fpu(ga	NOUN
ejpam-3440	147	14	)	)	PUNCT
ejpam-3440	147	15	.	.	PUNCT
ejpam-3440	148	1	(	(	PUNCT
ejpam-3440	148	2	g	g	NOUN
ejpam-3440	148	3	)	)	PUNCT
ejpam-3440	148	4	if	if	SCONJ
ejpam-3440	148	5	fb	fb	INTJ
ejpam-3440	148	6	v	v	X
ejpam-3440	148	7	gb	gb	NOUN
ejpam-3440	148	8	,	,	PUNCT
ejpam-3440	148	9	then	then	ADV
ejpam-3440	148	10	f−1	f−1	PROPN
ejpam-3440	148	11	pu	pu	PROPN
ejpam-3440	148	12	(	(	PUNCT
ejpam-3440	148	13	fb	fb	INTJ
ejpam-3440	148	14	)	)	PUNCT
ejpam-3440	148	15	v	v	NOUN
ejpam-3440	148	16	f−1	f−1	PROPN
ejpam-3440	148	17	pu	pu	PROPN
ejpam-3440	148	18	(	(	PUNCT
ejpam-3440	148	19	gb	gb	NOUN
ejpam-3440	148	20	)	)	PUNCT
ejpam-3440	148	21	∀	∀	PUNCT
ejpam-3440	149	1	fb	fb	INTJ
ejpam-3440	149	2	,	,	PUNCT
ejpam-3440	149	3	gb	gb	NOUN
ejpam-3440	149	4	∈	∈	PROPN
ejpam-3440	149	5	fss(y	fss(y	PROPN
ejpam-3440	149	6	)	)	PUNCT
ejpam-3440	149	7	k	k	X
ejpam-3440	149	8	.	.	PUNCT
ejpam-3440	150	1	3	3	X
ejpam-3440	150	2	.	.	X
ejpam-3440	150	3	fuzzy	fuzzy	ADJ
ejpam-3440	150	4	supra	supra	PROPN
ejpam-3440	150	5	soft	soft	ADJ
ejpam-3440	150	6	topological	topological	ADJ
ejpam-3440	150	7	spaces	space	NOUN
ejpam-3440	150	8	our	our	PRON
ejpam-3440	150	9	aim	aim	NOUN
ejpam-3440	150	10	of	of	ADP
ejpam-3440	150	11	this	this	DET
ejpam-3440	150	12	section	section	NOUN
ejpam-3440	150	13	,	,	PUNCT
ejpam-3440	150	14	is	be	AUX
ejpam-3440	150	15	to	to	PART
ejpam-3440	150	16	introduce	introduce	VERB
ejpam-3440	150	17	the	the	DET
ejpam-3440	150	18	notion	notion	NOUN
ejpam-3440	150	19	of	of	ADP
ejpam-3440	150	20	fuzzy	fuzzy	ADJ
ejpam-3440	150	21	supra	supra	PROPN
ejpam-3440	150	22	soft	soft	ADJ
ejpam-3440	150	23	topological	topological	ADJ
ejpam-3440	150	24	spaces	space	NOUN
ejpam-3440	150	25	,	,	PUNCT
ejpam-3440	150	26	which	which	PRON
ejpam-3440	150	27	is	be	AUX
ejpam-3440	150	28	a	a	DET
ejpam-3440	150	29	generalization	generalization	NOUN
ejpam-3440	150	30	to	to	ADP
ejpam-3440	150	31	the	the	DET
ejpam-3440	150	32	notion	notion	NOUN
ejpam-3440	150	33	of	of	ADP
ejpam-3440	150	34	fuzzy	fuzzy	ADJ
ejpam-3440	150	35	soft	soft	ADJ
ejpam-3440	150	36	topological	topological	ADJ
ejpam-3440	150	37	spaces	space	NOUN
ejpam-3440	150	38	[	[	X
ejpam-3440	150	39	21	21	NUM
ejpam-3440	150	40	]	]	PUNCT
ejpam-3440	150	41	and	and	CCONJ
ejpam-3440	150	42	supra	supra	PROPN
ejpam-3440	150	43	soft	soft	ADJ
ejpam-3440	150	44	topological	topological	ADJ
ejpam-3440	150	45	spaces	space	NOUN
ejpam-3440	150	46	[	[	X
ejpam-3440	150	47	16	16	NUM
ejpam-3440	150	48	]	]	PUNCT
ejpam-3440	150	49	.	.	PUNCT
ejpam-3440	151	1	we	we	PRON
ejpam-3440	151	2	introduce	introduce	VERB
ejpam-3440	151	3	and	and	CCONJ
ejpam-3440	151	4	study	study	VERB
ejpam-3440	151	5	the	the	DET
ejpam-3440	151	6	properties	property	NOUN
ejpam-3440	151	7	of	of	ADP
ejpam-3440	151	8	the	the	DET
ejpam-3440	151	9	operations	operation	NOUN
ejpam-3440	151	10	which	which	PRON
ejpam-3440	151	11	will	will	AUX
ejpam-3440	151	12	help	help	VERB
ejpam-3440	151	13	researcher	researcher	NOUN
ejpam-3440	151	14	enhance	enhance	VERB
ejpam-3440	151	15	and	and	CCONJ
ejpam-3440	151	16	promote	promote	VERB
ejpam-3440	151	17	the	the	DET
ejpam-3440	151	18	further	further	ADJ
ejpam-3440	151	19	study	study	NOUN
ejpam-3440	151	20	on	on	ADP
ejpam-3440	151	21	fuzzy	fuzzy	ADJ
ejpam-3440	151	22	supra	supra	PROPN
ejpam-3440	151	23	soft	soft	ADJ
ejpam-3440	151	24	topology.furthermore	topology.furthermore	PROPN
ejpam-3440	151	25	,	,	PUNCT
ejpam-3440	151	26	we	we	PRON
ejpam-3440	151	27	list	list	VERB
ejpam-3440	151	28	the	the	DET
ejpam-3440	151	29	main	main	ADJ
ejpam-3440	151	30	properties	property	NOUN
ejpam-3440	151	31	of	of	ADP
ejpam-3440	151	32	the	the	DET
ejpam-3440	151	33	operations	operation	NOUN
ejpam-3440	151	34	which	which	PRON
ejpam-3440	151	35	give	give	VERB
ejpam-3440	151	36	the	the	DET
ejpam-3440	151	37	deviations	deviation	NOUN
ejpam-3440	151	38	between	between	ADP
ejpam-3440	151	39	these	these	DET
ejpam-3440	151	40	operations	operation	NOUN
ejpam-3440	151	41	and	and	CCONJ
ejpam-3440	151	42	that	that	SCONJ
ejpam-3440	151	43	in	in	ADP
ejpam-3440	151	44	fuzzy	fuzzy	ADJ
ejpam-3440	151	45	soft	soft	ADJ
ejpam-3440	151	46	topological	topological	ADJ
ejpam-3440	151	47	spaces	space	NOUN
ejpam-3440	151	48	.	.	PUNCT
ejpam-3440	152	1	definition	definition	NOUN
ejpam-3440	152	2	19	19	NUM
ejpam-3440	152	3	.	.	PUNCT
ejpam-3440	153	1	[	[	X
ejpam-3440	153	2	29	29	NUM
ejpam-3440	153	3	]	]	PUNCT
ejpam-3440	153	4	.	.	PUNCT
ejpam-3440	154	1	let	let	VERB
ejpam-3440	154	2	t	t	NOUN
ejpam-3440	154	3	be	be	AUX
ejpam-3440	154	4	a	a	DET
ejpam-3440	154	5	collection	collection	NOUN
ejpam-3440	154	6	of	of	ADP
ejpam-3440	154	7	fuzzy	fuzzy	ADJ
ejpam-3440	154	8	soft	soft	ADJ
ejpam-3440	154	9	sets	set	NOUN
ejpam-3440	154	10	over	over	ADP
ejpam-3440	154	11	a	a	DET
ejpam-3440	154	12	universe	universe	NOUN
ejpam-3440	154	13	x	x	PUNCT
ejpam-3440	154	14	with	with	ADP
ejpam-3440	154	15	a	a	DET
ejpam-3440	154	16	fixed	fix	VERB
ejpam-3440	154	17	set	set	NOUN
ejpam-3440	154	18	of	of	ADP
ejpam-3440	154	19	parameters	parameter	NOUN
ejpam-3440	154	20	e	e	NOUN
ejpam-3440	154	21	,	,	PUNCT
ejpam-3440	154	22	then	then	ADV
ejpam-3440	154	23	t	t	PROPN
ejpam-3440	154	24	is	be	AUX
ejpam-3440	154	25	called	call	VERB
ejpam-3440	154	26	a	a	DET
ejpam-3440	154	27	fuzzy	fuzzy	ADJ
ejpam-3440	154	28	supra	supra	ADJ
ejpam-3440	154	29	soft	soft	ADJ
ejpam-3440	154	30	topology	topology	NOUN
ejpam-3440	154	31	on	on	ADP
ejpam-3440	154	32	x	x	SYM
ejpam-3440	154	33	if	if	SCONJ
ejpam-3440	154	34	(	(	PUNCT
ejpam-3440	154	35	1	1	X
ejpam-3440	154	36	)	)	PUNCT
ejpam-3440	154	37	1̃e	1̃e	NUM
ejpam-3440	154	38	,	,	PUNCT
ejpam-3440	154	39	0̃e	0̃e	PROPN
ejpam-3440	154	40	∈	∈	PROPN
ejpam-3440	154	41	t	t	PROPN
ejpam-3440	154	42	,	,	PUNCT
ejpam-3440	154	43	where	where	SCONJ
ejpam-3440	154	44	0̃e(e	0̃e(e	NUM
ejpam-3440	154	45	)	)	PUNCT
ejpam-3440	155	1	=	=	SYM
ejpam-3440	155	2	0	0	NUM
ejpam-3440	155	3	and	and	CCONJ
ejpam-3440	155	4	1̃e(e	1̃e(e	NUM
ejpam-3440	155	5	)	)	PUNCT
ejpam-3440	155	6	=	=	SYM
ejpam-3440	155	7	1	1	X
ejpam-3440	155	8	,	,	PUNCT
ejpam-3440	155	9	∀e	∀e	PROPN
ejpam-3440	155	10	∈	∈	PROPN
ejpam-3440	155	11	e	e	NOUN
ejpam-3440	155	12	,	,	PUNCT
ejpam-3440	155	13	(	(	PUNCT
ejpam-3440	155	14	2	2	X
ejpam-3440	155	15	)	)	PUNCT
ejpam-3440	155	16	the	the	DET
ejpam-3440	155	17	union	union	NOUN
ejpam-3440	155	18	of	of	ADP
ejpam-3440	155	19	any	any	DET
ejpam-3440	155	20	members	member	NOUN
ejpam-3440	155	21	of	of	ADP
ejpam-3440	155	22	t	t	PROPN
ejpam-3440	155	23	,	,	PUNCT
ejpam-3440	155	24	belongs	belong	VERB
ejpam-3440	155	25	to	to	ADP
ejpam-3440	155	26	t.	t.	NOUN
ejpam-3440	155	27	the	the	DET
ejpam-3440	155	28	triplet	triplet	NOUN
ejpam-3440	155	29	(	(	PUNCT
ejpam-3440	155	30	x	x	NOUN
ejpam-3440	155	31	,	,	PUNCT
ejpam-3440	155	32	t	t	PROPN
ejpam-3440	155	33	,	,	PUNCT
ejpam-3440	155	34	e	e	NOUN
ejpam-3440	155	35	)	)	PUNCT
ejpam-3440	155	36	is	be	AUX
ejpam-3440	155	37	called	call	VERB
ejpam-3440	155	38	a	a	DET
ejpam-3440	155	39	fuzzy	fuzzy	ADJ
ejpam-3440	155	40	supra	supra	PROPN
ejpam-3440	155	41	soft	soft	ADJ
ejpam-3440	155	42	topological	topological	ADJ
ejpam-3440	155	43	space	space	NOUN
ejpam-3440	155	44	(	(	PUNCT
ejpam-3440	155	45	fssts	fsst	NOUN
ejpam-3440	155	46	for	for	ADP
ejpam-3440	155	47	short	short	ADJ
ejpam-3440	155	48	)	)	PUNCT
ejpam-3440	155	49	over	over	ADP
ejpam-3440	155	50	x.	x.	NOUN
ejpam-3440	155	51	also	also	ADV
ejpam-3440	155	52	,	,	PUNCT
ejpam-3440	155	53	each	each	DET
ejpam-3440	155	54	member	member	NOUN
ejpam-3440	155	55	of	of	ADP
ejpam-3440	155	56	t	t	PROPN
ejpam-3440	155	57	is	be	AUX
ejpam-3440	155	58	called	call	VERB
ejpam-3440	155	59	a	a	DET
ejpam-3440	155	60	fuzzy	fuzzy	ADJ
ejpam-3440	155	61	supra	supra	NOUN
ejpam-3440	155	62	open	open	ADJ
ejpam-3440	155	63	soft	soft	ADJ
ejpam-3440	155	64	in	in	ADP
ejpam-3440	155	65	(	(	PUNCT
ejpam-3440	155	66	x	x	X
ejpam-3440	155	67	,	,	PUNCT
ejpam-3440	155	68	t	t	PROPN
ejpam-3440	155	69	,	,	PUNCT
ejpam-3440	155	70	e	e	NOUN
ejpam-3440	155	71	)	)	PUNCT
ejpam-3440	155	72	.	.	PUNCT
ejpam-3440	156	1	a	a	DET
ejpam-3440	156	2	fuzzy	fuzzy	ADJ
ejpam-3440	156	3	soft	soft	ADJ
ejpam-3440	156	4	set	set	NOUN
ejpam-3440	156	5	fa	fa	NOUN
ejpam-3440	156	6	over	over	ADP
ejpam-3440	156	7	x	x	VERB
ejpam-3440	156	8	is	be	AUX
ejpam-3440	156	9	said	say	VERB
ejpam-3440	156	10	to	to	PART
ejpam-3440	156	11	be	be	AUX
ejpam-3440	156	12	fuzzy	fuzzy	ADJ
ejpam-3440	156	13	supra	supra	PROPN
ejpam-3440	156	14	closed	close	VERB
ejpam-3440	156	15	soft	soft	ADJ
ejpam-3440	156	16	set	set	NOUN
ejpam-3440	156	17	in	in	ADP
ejpam-3440	156	18	x	x	NOUN
ejpam-3440	156	19	,	,	PUNCT
ejpam-3440	156	20	if	if	SCONJ
ejpam-3440	156	21	its	its	PRON
ejpam-3440	156	22	relative	relative	ADJ
ejpam-3440	156	23	complement	complement	NOUN
ejpam-3440	156	24	f	f	PROPN
ejpam-3440	156	25	ca	can	AUX
ejpam-3440	156	26	is	be	AUX
ejpam-3440	156	27	a	a	DET
ejpam-3440	156	28	fuzzy	fuzzy	ADJ
ejpam-3440	156	29	supra	supra	NOUN
ejpam-3440	156	30	open	open	ADJ
ejpam-3440	156	31	soft	soft	ADJ
ejpam-3440	156	32	set	set	NOUN
ejpam-3440	156	33	.	.	PUNCT
ejpam-3440	157	1	we	we	PRON
ejpam-3440	157	2	denote	denote	VERB
ejpam-3440	157	3	the	the	DET
ejpam-3440	157	4	set	set	NOUN
ejpam-3440	157	5	of	of	ADP
ejpam-3440	157	6	all	all	DET
ejpam-3440	157	7	fuzzy	fuzzy	ADJ
ejpam-3440	157	8	supra	supra	PROPN
ejpam-3440	157	9	open	open	ADJ
ejpam-3440	157	10	(	(	PUNCT
ejpam-3440	157	11	closed	closed	ADJ
ejpam-3440	157	12	)	)	PUNCT
ejpam-3440	157	13	soft	soft	ADJ
ejpam-3440	157	14	sets	set	NOUN
ejpam-3440	157	15	by	by	ADP
ejpam-3440	157	16	fsos(x	fsos(x	NOUN
ejpam-3440	157	17	)	)	PUNCT
ejpam-3440	157	18	(	(	PUNCT
ejpam-3440	157	19	fscs(x	fscs(x	NOUN
ejpam-3440	157	20	)	)	PUNCT
ejpam-3440	157	21	)	)	PUNCT
ejpam-3440	157	22	.	.	PUNCT
ejpam-3440	158	1	a.	a.	PROPN
ejpam-3440	158	2	m.	m.	PROPN
ejpam-3440	158	3	abd	abd	PROPN
ejpam-3440	158	4	el	el	PROPN
ejpam-3440	158	5	-	-	PROPN
ejpam-3440	158	6	latif	latif	PROPN
ejpam-3440	158	7	/	/	SYM
ejpam-3440	158	8	eur	eur	PROPN
ejpam-3440	158	9	.	.	PUNCT
ejpam-3440	159	1	j.	j.	PROPN
ejpam-3440	159	2	pure	pure	PROPN
ejpam-3440	159	3	appl	appl	PROPN
ejpam-3440	159	4	.	.	PROPN
ejpam-3440	159	5	math	math	PROPN
ejpam-3440	159	6	,	,	PUNCT
ejpam-3440	159	7	12	12	NUM
ejpam-3440	159	8	(	(	PUNCT
ejpam-3440	159	9	3	3	NUM
ejpam-3440	159	10	)	)	PUNCT
ejpam-3440	159	11	(	(	PUNCT
ejpam-3440	159	12	2019	2019	NUM
ejpam-3440	159	13	)	)	PUNCT
ejpam-3440	159	14	,	,	PUNCT
ejpam-3440	159	15	999	999	NUM
ejpam-3440	159	16	-	-	SYM
ejpam-3440	159	17	1017	1017	NUM
ejpam-3440	159	18	1004	1004	NUM
ejpam-3440	159	19	remarks	remark	NOUN
ejpam-3440	159	20	1	1	NUM
ejpam-3440	159	21	.	.	PUNCT
ejpam-3440	160	1	every	every	DET
ejpam-3440	160	2	fuzzy	fuzzy	ADJ
ejpam-3440	160	3	soft	soft	ADJ
ejpam-3440	160	4	topological	topological	ADJ
ejpam-3440	160	5	space	space	NOUN
ejpam-3440	160	6	is	be	AUX
ejpam-3440	160	7	a	a	DET
ejpam-3440	160	8	fuzzy	fuzzy	ADJ
ejpam-3440	160	9	supra	supra	ADJ
ejpam-3440	160	10	soft	soft	ADJ
ejpam-3440	160	11	topological	topological	ADJ
ejpam-3440	160	12	space	space	NOUN
ejpam-3440	160	13	,	,	PUNCT
ejpam-3440	160	14	but	but	CCONJ
ejpam-3440	160	15	the	the	DET
ejpam-3440	160	16	converse	converse	NOUN
ejpam-3440	160	17	is	be	AUX
ejpam-3440	160	18	not	not	PART
ejpam-3440	160	19	true	true	ADJ
ejpam-3440	160	20	in	in	ADP
ejpam-3440	160	21	general	general	ADJ
ejpam-3440	160	22	as	as	SCONJ
ejpam-3440	160	23	will	will	AUX
ejpam-3440	160	24	shown	show	VERB
ejpam-3440	160	25	in	in	ADP
ejpam-3440	160	26	the	the	DET
ejpam-3440	160	27	following	follow	VERB
ejpam-3440	160	28	example	example	NOUN
ejpam-3440	160	29	.	.	PUNCT
ejpam-3440	161	1	example	example	NOUN
ejpam-3440	162	1	1	1	NUM
ejpam-3440	162	2	.	.	PUNCT
ejpam-3440	162	3	let	let	VERB
ejpam-3440	162	4	x	x	PUNCT
ejpam-3440	162	5	=	=	PRON
ejpam-3440	162	6	{	{	PUNCT
ejpam-3440	162	7	a	a	PRON
ejpam-3440	162	8	,	,	PUNCT
ejpam-3440	162	9	b	b	NOUN
ejpam-3440	162	10	,	,	PUNCT
ejpam-3440	162	11	c	c	AUX
ejpam-3440	162	12	}	}	PUNCT
ejpam-3440	162	13	be	be	AUX
ejpam-3440	162	14	the	the	DET
ejpam-3440	162	15	set	set	NOUN
ejpam-3440	162	16	of	of	ADP
ejpam-3440	162	17	three	three	NUM
ejpam-3440	162	18	cars	car	NOUN
ejpam-3440	162	19	under	under	ADP
ejpam-3440	162	20	consideration	consideration	NOUN
ejpam-3440	162	21	and	and	CCONJ
ejpam-3440	162	22	e	e	NOUN
ejpam-3440	162	23	=	=	PUNCT
ejpam-3440	162	24	{	{	PUNCT
ejpam-3440	162	25	e1(modern	e1(modern	ADJ
ejpam-3440	162	26	technology	technology	NOUN
ejpam-3440	162	27	)	)	PUNCT
ejpam-3440	162	28	,	,	PUNCT
ejpam-3440	162	29	e2(luxurious	e2(luxurious	ADJ
ejpam-3440	162	30	)	)	PUNCT
ejpam-3440	162	31	,	,	PUNCT
ejpam-3440	162	32	e3(costly	e3(costly	ADV
ejpam-3440	162	33	)	)	PUNCT
ejpam-3440	162	34	}	}	PUNCT
ejpam-3440	162	35	.	.	PUNCT
ejpam-3440	163	1	let	let	VERB
ejpam-3440	163	2	a	a	PRON
ejpam-3440	163	3	,	,	PUNCT
ejpam-3440	163	4	b	b	PROPN
ejpam-3440	163	5	⊆	⊆	NUM
ejpam-3440	163	6	e	e	NOUN
ejpam-3440	163	7	where	where	SCONJ
ejpam-3440	163	8	a	a	PRON
ejpam-3440	163	9	=	=	SYM
ejpam-3440	163	10	{	{	PUNCT
ejpam-3440	163	11	e1	e1	PROPN
ejpam-3440	163	12	,	,	PUNCT
ejpam-3440	163	13	e2	e2	NOUN
ejpam-3440	163	14	}	}	PUNCT
ejpam-3440	163	15	and	and	CCONJ
ejpam-3440	163	16	b	b	X
ejpam-3440	163	17	=	=	SYM
ejpam-3440	163	18	{	{	PUNCT
ejpam-3440	163	19	e2	e2	PROPN
ejpam-3440	163	20	,	,	PUNCT
ejpam-3440	163	21	e3	e3	NOUN
ejpam-3440	163	22	}	}	PUNCT
ejpam-3440	163	23	.	.	PUNCT
ejpam-3440	164	1	let	let	VERB
ejpam-3440	164	2	t	t	NOUN
ejpam-3440	164	3	=	=	PUNCT
ejpam-3440	164	4	{	{	PUNCT
ejpam-3440	164	5	1̃e	1̃e	NUM
ejpam-3440	164	6	,	,	PUNCT
ejpam-3440	164	7	0̃e	0̃e	PROPN
ejpam-3440	164	8	,	,	PUNCT
ejpam-3440	164	9	f1a	f1a	PROPN
ejpam-3440	164	10	,	,	PUNCT
ejpam-3440	164	11	f2b	f2b	X
ejpam-3440	164	12	,	,	PUNCT
ejpam-3440	164	13	f3e	f3e	PROPN
ejpam-3440	164	14	}	}	PUNCT
ejpam-3440	164	15	where	where	SCONJ
ejpam-3440	164	16	f1a	f1a	PROPN
ejpam-3440	164	17	,	,	PUNCT
ejpam-3440	164	18	f2b	f2b	PROPN
ejpam-3440	164	19	,	,	PUNCT
ejpam-3440	164	20	f3e	f3e	PROPN
ejpam-3440	164	21	are	be	AUX
ejpam-3440	164	22	fuzzy	fuzzy	ADJ
ejpam-3440	164	23	soft	soft	ADJ
ejpam-3440	164	24	sets	set	NOUN
ejpam-3440	164	25	over	over	ADP
ejpam-3440	164	26	x	x	PUNCT
ejpam-3440	164	27	representing	represent	VERB
ejpam-3440	164	28	the	the	DET
ejpam-3440	164	29	”	"	PUNCT
ejpam-3440	164	30	attractiveness	attractiveness	NOUN
ejpam-3440	164	31	of	of	ADP
ejpam-3440	164	32	the	the	DET
ejpam-3440	164	33	cars	car	NOUN
ejpam-3440	164	34	”	"	PUNCT
ejpam-3440	164	35	which	which	PRON
ejpam-3440	164	36	mr	mr	PROPN
ejpam-3440	164	37	.	.	PROPN
ejpam-3440	164	38	r	r	PROPN
ejpam-3440	164	39	,	,	PUNCT
ejpam-3440	164	40	mr	mr	PROPN
ejpam-3440	164	41	.	.	PROPN
ejpam-3440	164	42	s	s	PROPN
ejpam-3440	164	43	and	and	CCONJ
ejpam-3440	164	44	mr	mr	PROPN
ejpam-3440	164	45	.	.	PROPN
ejpam-3440	164	46	t	t	PROPN
ejpam-3440	164	47	are	be	AUX
ejpam-3440	164	48	going	go	VERB
ejpam-3440	164	49	to	to	PART
ejpam-3440	164	50	buy	buy	VERB
ejpam-3440	164	51	,	,	PUNCT
ejpam-3440	164	52	respectively	respectively	ADV
ejpam-3440	164	53	which	which	PRON
ejpam-3440	164	54	defined	define	VERB
ejpam-3440	164	55	as	as	SCONJ
ejpam-3440	164	56	follows	follow	VERB
ejpam-3440	164	57	:	:	PUNCT
ejpam-3440	164	58	µe1f1a	µe1f1a	PROPN
ejpam-3440	164	59	=	=	SYM
ejpam-3440	164	60	{	{	PUNCT
ejpam-3440	164	61	a0.6	a0.6	X
ejpam-3440	164	62	,	,	PUNCT
ejpam-3440	164	63	b0.75	b0.75	PROPN
ejpam-3440	164	64	,	,	PUNCT
ejpam-3440	164	65	c0.3	c0.3	PROPN
ejpam-3440	164	66	}	}	PUNCT
ejpam-3440	164	67	,	,	PUNCT
ejpam-3440	164	68	µe2f1a	µe2f1a	PROPN
ejpam-3440	164	69	=	=	SYM
ejpam-3440	164	70	{	{	PUNCT
ejpam-3440	164	71	a0.5	a0.5	VERB
ejpam-3440	164	72	,	,	PUNCT
ejpam-3440	164	73	b0.8	b0.8	PROPN
ejpam-3440	164	74	,	,	PUNCT
ejpam-3440	164	75	c0.7	c0.7	NOUN
ejpam-3440	164	76	}	}	PUNCT
ejpam-3440	164	77	,	,	PUNCT
ejpam-3440	164	78	µe2f2b	µe2f2b	PROPN
ejpam-3440	164	79	=	=	PUNCT
ejpam-3440	164	80	{	{	PUNCT
ejpam-3440	164	81	a0.4	a0.4	PROPN
ejpam-3440	164	82	,	,	PUNCT
ejpam-3440	164	83	b0.6	b0.6	NOUN
ejpam-3440	164	84	,	,	PUNCT
ejpam-3440	164	85	c0.3	c0.3	PROPN
ejpam-3440	164	86	}	}	PUNCT
ejpam-3440	164	87	,	,	PUNCT
ejpam-3440	164	88	µe3f2b	µe3f2b	PROPN
ejpam-3440	164	89	=	=	SYM
ejpam-3440	164	90	{	{	PUNCT
ejpam-3440	164	91	a0.3	a0.3	PROPN
ejpam-3440	164	92	,	,	PUNCT
ejpam-3440	164	93	b0.35	b0.35	PROPN
ejpam-3440	164	94	,	,	PUNCT
ejpam-3440	164	95	c0.45	c0.45	PROPN
ejpam-3440	164	96	}	}	PUNCT
ejpam-3440	164	97	,	,	PUNCT
ejpam-3440	164	98	µe1f3e	µe1f3e	PROPN
ejpam-3440	164	99	=	=	PRON
ejpam-3440	164	100	{	{	PUNCT
ejpam-3440	164	101	a0.6	a0.6	PROPN
ejpam-3440	164	102	,	,	PUNCT
ejpam-3440	164	103	b0.75	b0.75	PROPN
ejpam-3440	164	104	,	,	PUNCT
ejpam-3440	164	105	c0.3	c0.3	PROPN
ejpam-3440	164	106	}	}	PUNCT
ejpam-3440	164	107	,	,	PUNCT
ejpam-3440	164	108	µe2f3e	µe2f3e	PROPN
ejpam-3440	164	109	=	=	PRON
ejpam-3440	164	110	{	{	PUNCT
ejpam-3440	164	111	a0.5	a0.5	VERB
ejpam-3440	164	112	,	,	PUNCT
ejpam-3440	164	113	b0.8	b0.8	PROPN
ejpam-3440	164	114	,	,	PUNCT
ejpam-3440	164	115	c0.7	c0.7	NOUN
ejpam-3440	164	116	}	}	PUNCT
ejpam-3440	164	117	,	,	PUNCT
ejpam-3440	164	118	µe2f3e	µe2f3e	PROPN
ejpam-3440	164	119	=	=	PRON
ejpam-3440	164	120	{	{	PUNCT
ejpam-3440	164	121	a0.3	a0.3	PROPN
ejpam-3440	164	122	,	,	PUNCT
ejpam-3440	164	123	b0.35	b0.35	PROPN
ejpam-3440	164	124	,	,	PUNCT
ejpam-3440	164	125	c0.45	c0.45	PROPN
ejpam-3440	164	126	}	}	PUNCT
ejpam-3440	164	127	.	.	PUNCT
ejpam-3440	165	1	then	then	ADV
ejpam-3440	165	2	,	,	PUNCT
ejpam-3440	165	3	t	t	PROPN
ejpam-3440	165	4	is	be	AUX
ejpam-3440	165	5	a	a	DET
ejpam-3440	165	6	fuzzy	fuzzy	ADJ
ejpam-3440	165	7	supra	supra	ADJ
ejpam-3440	165	8	soft	soft	ADJ
ejpam-3440	165	9	topology	topology	NOUN
ejpam-3440	165	10	on	on	ADP
ejpam-3440	165	11	x	x	NOUN
ejpam-3440	165	12	,	,	PUNCT
ejpam-3440	165	13	but	but	CCONJ
ejpam-3440	165	14	not	not	PART
ejpam-3440	165	15	fuzzy	fuzzy	ADJ
ejpam-3440	165	16	soft	soft	ADJ
ejpam-3440	165	17	topology	topology	NOUN
ejpam-3440	165	18	,	,	PUNCT
ejpam-3440	165	19	where	where	SCONJ
ejpam-3440	165	20	f1auf2b	f1auf2b	PROPN
ejpam-3440	165	21	6∈	6∈	NOUN
ejpam-3440	165	22	t.	t.	NOUN
ejpam-3440	165	23	definition	definition	NOUN
ejpam-3440	165	24	20	20	NUM
ejpam-3440	165	25	.	.	PUNCT
ejpam-3440	166	1	let	let	VERB
ejpam-3440	166	2	(	(	PUNCT
ejpam-3440	166	3	x	x	NOUN
ejpam-3440	166	4	,	,	PUNCT
ejpam-3440	166	5	t∗	t∗	PROPN
ejpam-3440	166	6	,	,	PUNCT
ejpam-3440	166	7	e	e	NOUN
ejpam-3440	166	8	)	)	PUNCT
ejpam-3440	166	9	be	be	AUX
ejpam-3440	166	10	a	a	DET
ejpam-3440	166	11	fuzzy	fuzzy	ADJ
ejpam-3440	166	12	soft	soft	ADJ
ejpam-3440	166	13	topological	topological	ADJ
ejpam-3440	166	14	space	space	NOUN
ejpam-3440	166	15	and	and	CCONJ
ejpam-3440	166	16	(	(	PUNCT
ejpam-3440	166	17	x	x	X
ejpam-3440	166	18	,	,	PUNCT
ejpam-3440	166	19	t	t	PROPN
ejpam-3440	166	20	,	,	PUNCT
ejpam-3440	166	21	e	e	NOUN
ejpam-3440	166	22	)	)	PUNCT
ejpam-3440	166	23	be	be	AUX
ejpam-3440	166	24	a	a	DET
ejpam-3440	166	25	fssts	fsst	NOUN
ejpam-3440	166	26	.	.	PUNCT
ejpam-3440	167	1	we	we	PRON
ejpam-3440	167	2	say	say	VERB
ejpam-3440	167	3	that	that	SCONJ
ejpam-3440	167	4	t	t	PROPN
ejpam-3440	167	5	is	be	AUX
ejpam-3440	167	6	a	a	DET
ejpam-3440	167	7	sfsst	sfsst	NOUN
ejpam-3440	167	8	associated	associate	VERB
ejpam-3440	167	9	with	with	ADP
ejpam-3440	167	10	t∗	t∗	NOUN
ejpam-3440	167	11	if	if	SCONJ
ejpam-3440	167	12	t∗	t∗	NOUN
ejpam-3440	167	13	⊂	⊂	PROPN
ejpam-3440	167	14	t.	t.	NOUN
ejpam-3440	167	15	proposition	proposition	NOUN
ejpam-3440	167	16	1	1	X
ejpam-3440	167	17	.	.	PUNCT
ejpam-3440	168	1	let	let	VERB
ejpam-3440	168	2	(	(	PUNCT
ejpam-3440	168	3	x	x	X
ejpam-3440	168	4	,	,	PUNCT
ejpam-3440	168	5	t	t	PROPN
ejpam-3440	168	6	,	,	PUNCT
ejpam-3440	168	7	e	e	NOUN
ejpam-3440	168	8	)	)	PUNCT
ejpam-3440	168	9	be	be	AUX
ejpam-3440	168	10	a	a	DET
ejpam-3440	168	11	fssts	fsst	NOUN
ejpam-3440	168	12	,	,	PUNCT
ejpam-3440	168	13	then	then	ADV
ejpam-3440	168	14	it	it	PRON
ejpam-3440	168	15	is	be	AUX
ejpam-3440	168	16	a	a	DET
ejpam-3440	168	17	parameterized	parameterized	ADJ
ejpam-3440	168	18	collection	collection	NOUN
ejpam-3440	168	19	of	of	ADP
ejpam-3440	168	20	fuzzy	fuzzy	ADJ
ejpam-3440	168	21	supra	supra	PROPN
ejpam-3440	168	22	topologies	topology	NOUN
ejpam-3440	168	23	on	on	ADP
ejpam-3440	168	24	x.i.e	x.i.e	ADP
ejpam-3440	168	25	te	te	PROPN
ejpam-3440	168	26	=	=	SYM
ejpam-3440	168	27	{	{	PUNCT
ejpam-3440	168	28	fa(e	fa(e	PROPN
ejpam-3440	168	29	)	)	PUNCT
ejpam-3440	168	30	:	:	PUNCT
ejpam-3440	168	31	fa	fa	PROPN
ejpam-3440	168	32	∈	∈	PROPN
ejpam-3440	168	33	t	t	PROPN
ejpam-3440	168	34	}	}	PUNCT
ejpam-3440	168	35	defines	define	VERB
ejpam-3440	168	36	a	a	DET
ejpam-3440	168	37	fuzzy	fuzzy	ADJ
ejpam-3440	168	38	supra	supra	NOUN
ejpam-3440	168	39	topology	topology	NOUN
ejpam-3440	168	40	on	on	ADP
ejpam-3440	168	41	x	x	PUNCT
ejpam-3440	169	1	[	[	X
ejpam-3440	169	2	7	7	NUM
ejpam-3440	169	3	]	]	PUNCT
ejpam-3440	169	4	for	for	ADP
ejpam-3440	169	5	each	each	DET
ejpam-3440	169	6	e	e	PROPN
ejpam-3440	169	7	∈	∈	PROPN
ejpam-3440	169	8	e.	e.	PROPN
ejpam-3440	169	9	the	the	DET
ejpam-3440	169	10	following	follow	VERB
ejpam-3440	169	11	example	example	NOUN
ejpam-3440	169	12	supports	support	VERB
ejpam-3440	169	13	our	our	PRON
ejpam-3440	169	14	claim	claim	NOUN
ejpam-3440	169	15	.	.	PUNCT
ejpam-3440	170	1	example	example	NOUN
ejpam-3440	171	1	2	2	NUM
ejpam-3440	171	2	.	.	PUNCT
ejpam-3440	172	1	let	let	VERB
ejpam-3440	172	2	x	x	PUNCT
ejpam-3440	172	3	=	=	PRON
ejpam-3440	172	4	{	{	PUNCT
ejpam-3440	172	5	a	a	PRON
ejpam-3440	172	6	,	,	PUNCT
ejpam-3440	172	7	b	b	NOUN
ejpam-3440	172	8	,	,	PUNCT
ejpam-3440	172	9	c	c	NOUN
ejpam-3440	172	10	,	,	PUNCT
ejpam-3440	172	11	d	d	AUX
ejpam-3440	172	12	}	}	PUNCT
ejpam-3440	172	13	be	be	AUX
ejpam-3440	172	14	the	the	DET
ejpam-3440	172	15	set	set	NOUN
ejpam-3440	172	16	of	of	ADP
ejpam-3440	172	17	four	four	NUM
ejpam-3440	172	18	jobs	job	NOUN
ejpam-3440	172	19	under	under	ADP
ejpam-3440	172	20	consideration	consideration	NOUN
ejpam-3440	172	21	and	and	CCONJ
ejpam-3440	172	22	e	e	NOUN
ejpam-3440	172	23	=	=	PUNCT
ejpam-3440	172	24	{	{	PUNCT
ejpam-3440	172	25	e1(salary	e1(salary	ADJ
ejpam-3440	172	26	)	)	PUNCT
ejpam-3440	172	27	,	,	PUNCT
ejpam-3440	172	28	e2(position	e2(position	NOUN
ejpam-3440	172	29	)	)	PUNCT
ejpam-3440	172	30	}	}	PUNCT
ejpam-3440	172	31	.	.	PUNCT
ejpam-3440	173	1	let	let	VERB
ejpam-3440	173	2	t	t	NOUN
ejpam-3440	173	3	=	=	PUNCT
ejpam-3440	173	4	{	{	PUNCT
ejpam-3440	173	5	1̃e	1̃e	NUM
ejpam-3440	173	6	,	,	PUNCT
ejpam-3440	173	7	0̃e	0̃e	INTJ
ejpam-3440	173	8	,	,	PUNCT
ejpam-3440	173	9	f1e	f1e	PROPN
ejpam-3440	173	10	,	,	PUNCT
ejpam-3440	173	11	f2e	f2e	PROPN
ejpam-3440	173	12	,	,	PUNCT
ejpam-3440	173	13	f3e	f3e	INTJ
ejpam-3440	173	14	,	,	PUNCT
ejpam-3440	173	15	f4e	f4e	PROPN
ejpam-3440	173	16	,	,	PUNCT
ejpam-3440	173	17	f5e	f5e	PROPN
ejpam-3440	173	18	,	,	PUNCT
ejpam-3440	173	19	f6e	f6e	NOUN
ejpam-3440	173	20	,	,	PUNCT
ejpam-3440	173	21	f7e	f7e	PROPN
ejpam-3440	173	22	,	,	PUNCT
ejpam-3440	173	23	f8e	f8e	PROPN
ejpam-3440	173	24	,	,	PUNCT
ejpam-3440	173	25	f9e	f9e	NOUN
ejpam-3440	173	26	,	,	PUNCT
ejpam-3440	173	27	f10e	f10e	NOUN
ejpam-3440	173	28	,	,	PUNCT
ejpam-3440	173	29	f11e	f11e	PROPN
ejpam-3440	173	30	,	,	PUNCT
ejpam-3440	173	31	f12e	f12e	NOUN
ejpam-3440	173	32	}	}	PUNCT
ejpam-3440	173	33	,	,	PUNCT
ejpam-3440	173	34	where	where	SCONJ
ejpam-3440	173	35	f1e	f1e	PROPN
ejpam-3440	173	36	,	,	PUNCT
ejpam-3440	173	37	f2e	f2e	PROPN
ejpam-3440	173	38	,	,	PUNCT
ejpam-3440	173	39	f3e	f3e	INTJ
ejpam-3440	173	40	,	,	PUNCT
ejpam-3440	173	41	f4e	f4e	PROPN
ejpam-3440	173	42	,	,	PUNCT
ejpam-3440	173	43	f5e	f5e	PROPN
ejpam-3440	173	44	,	,	PUNCT
ejpam-3440	173	45	f6e	f6e	NOUN
ejpam-3440	173	46	,	,	PUNCT
ejpam-3440	173	47	f7e	f7e	PROPN
ejpam-3440	173	48	,	,	PUNCT
ejpam-3440	173	49	f8e	f8e	PROPN
ejpam-3440	173	50	,	,	PUNCT
ejpam-3440	173	51	f9e	f9e	NOUN
ejpam-3440	173	52	,	,	PUNCT
ejpam-3440	173	53	f10e	f10e	NOUN
ejpam-3440	173	54	,	,	PUNCT
ejpam-3440	173	55	f11e	f11e	PROPN
ejpam-3440	173	56	,	,	PUNCT
ejpam-3440	173	57	f12e	f12e	NOUN
ejpam-3440	173	58	are	be	AUX
ejpam-3440	173	59	fuzzy	fuzzy	ADJ
ejpam-3440	173	60	soft	soft	ADJ
ejpam-3440	173	61	sets	set	NOUN
ejpam-3440	173	62	over	over	ADP
ejpam-3440	173	63	x	x	PUNCT
ejpam-3440	173	64	representing	represent	VERB
ejpam-3440	173	65	the	the	DET
ejpam-3440	173	66	”	"	PUNCT
ejpam-3440	173	67	the	the	DET
ejpam-3440	173	68	income	income	NOUN
ejpam-3440	173	69	of	of	ADP
ejpam-3440	173	70	the	the	DET
ejpam-3440	173	71	jobs	job	NOUN
ejpam-3440	173	72	”	"	PUNCT
ejpam-3440	173	73	which	which	PRON
ejpam-3440	173	74	some	some	DET
ejpam-3440	173	75	persons	person	NOUN
ejpam-3440	173	76	are	be	AUX
ejpam-3440	173	77	going	go	VERB
ejpam-3440	173	78	to	to	PART
ejpam-3440	173	79	work	work	VERB
ejpam-3440	173	80	,	,	PUNCT
ejpam-3440	173	81	respectively	respectively	ADV
ejpam-3440	173	82	which	which	PRON
ejpam-3440	173	83	defined	define	VERB
ejpam-3440	173	84	as	as	SCONJ
ejpam-3440	173	85	follows	follow	VERB
ejpam-3440	173	86	:	:	PUNCT
ejpam-3440	174	1	µe1f1e	µe1f1e	PROPN
ejpam-3440	174	2	=	=	PUNCT
ejpam-3440	174	3	{	{	PUNCT
ejpam-3440	174	4	a0.5	a0.5	PROPN
ejpam-3440	174	5	,	,	PUNCT
ejpam-3440	174	6	b0.4	b0.4	PROPN
ejpam-3440	174	7	,	,	PUNCT
ejpam-3440	174	8	c0	c0	NOUN
ejpam-3440	174	9	,	,	PUNCT
ejpam-3440	174	10	d0	d0	NOUN
ejpam-3440	174	11	}	}	PUNCT
ejpam-3440	174	12	,	,	PUNCT
ejpam-3440	174	13	µe2f1e	µe2f1e	PROPN
ejpam-3440	174	14	=	=	PUNCT
ejpam-3440	174	15	{	{	PUNCT
ejpam-3440	174	16	a0	a0	PROPN
ejpam-3440	174	17	,	,	PUNCT
ejpam-3440	174	18	b0.3	b0.3	PROPN
ejpam-3440	174	19	,	,	PUNCT
ejpam-3440	174	20	c0	c0	NOUN
ejpam-3440	174	21	,	,	PUNCT
ejpam-3440	174	22	d0.5	d0.5	NOUN
ejpam-3440	174	23	}	}	PUNCT
ejpam-3440	174	24	,	,	PUNCT
ejpam-3440	174	25	µe1f2e	µe1f2e	PROPN
ejpam-3440	174	26	=	=	SYM
ejpam-3440	174	27	{	{	PUNCT
ejpam-3440	174	28	a0	a0	PROPN
ejpam-3440	174	29	,	,	PUNCT
ejpam-3440	174	30	b0.4	b0.4	PROPN
ejpam-3440	174	31	,	,	PUNCT
ejpam-3440	174	32	c0	c0	NOUN
ejpam-3440	174	33	,	,	PUNCT
ejpam-3440	174	34	d0.5	d0.5	NOUN
ejpam-3440	174	35	}	}	PUNCT
ejpam-3440	174	36	,	,	PUNCT
ejpam-3440	174	37	µe2f2e	µe2f2e	VERB
ejpam-3440	174	38	=	=	SYM
ejpam-3440	174	39	{	{	PUNCT
ejpam-3440	174	40	a0.4	a0.4	NOUN
ejpam-3440	174	41	,	,	PUNCT
ejpam-3440	174	42	b0	b0	NOUN
ejpam-3440	174	43	,	,	PUNCT
ejpam-3440	174	44	c0.6	c0.6	NOUN
ejpam-3440	174	45	,	,	PUNCT
ejpam-3440	174	46	d0	d0	NOUN
ejpam-3440	174	47	}	}	PUNCT
ejpam-3440	174	48	,	,	PUNCT
ejpam-3440	174	49	µe1f3e	µe1f3e	PROPN
ejpam-3440	174	50	=	=	PRON
ejpam-3440	174	51	{	{	PUNCT
ejpam-3440	174	52	a0.5	a0.5	PROPN
ejpam-3440	174	53	,	,	PUNCT
ejpam-3440	174	54	b0	b0	NOUN
ejpam-3440	174	55	,	,	PUNCT
ejpam-3440	174	56	c0.6	c0.6	NOUN
ejpam-3440	174	57	,	,	PUNCT
ejpam-3440	174	58	d0	d0	NOUN
ejpam-3440	174	59	}	}	PUNCT
ejpam-3440	174	60	,	,	PUNCT
ejpam-3440	174	61	µe2f3e	µe2f3e	PROPN
ejpam-3440	174	62	=	=	PRON
ejpam-3440	174	63	{	{	PUNCT
ejpam-3440	174	64	a0.4	a0.4	NOUN
ejpam-3440	174	65	,	,	PUNCT
ejpam-3440	174	66	b0	b0	NOUN
ejpam-3440	174	67	,	,	PUNCT
ejpam-3440	174	68	c0.6	c0.6	NOUN
ejpam-3440	174	69	,	,	PUNCT
ejpam-3440	174	70	d0.5	d0.5	NOUN
ejpam-3440	174	71	}	}	PUNCT
ejpam-3440	174	72	,	,	PUNCT
ejpam-3440	174	73	µe1f4e	µe1f4e	PROPN
ejpam-3440	174	74	=	=	SYM
ejpam-3440	174	75	{	{	PUNCT
ejpam-3440	174	76	a1	a1	PROPN
ejpam-3440	174	77	,	,	PUNCT
ejpam-3440	174	78	b1	b1	NOUN
ejpam-3440	174	79	,	,	PUNCT
ejpam-3440	174	80	c1	c1	NOUN
ejpam-3440	174	81	,	,	PUNCT
ejpam-3440	174	82	d1	d1	PROPN
ejpam-3440	174	83	}	}	PUNCT
ejpam-3440	174	84	,	,	PUNCT
ejpam-3440	174	85	µe2f4e	µe2f4e	PUNCT
ejpam-3440	174	86	=	=	SYM
ejpam-3440	174	87	{	{	PUNCT
ejpam-3440	174	88	a0.4	a0.4	PROPN
ejpam-3440	174	89	,	,	PUNCT
ejpam-3440	174	90	b0	b0	NOUN
ejpam-3440	174	91	,	,	PUNCT
ejpam-3440	174	92	c0.6	c0.6	NOUN
ejpam-3440	174	93	,	,	PUNCT
ejpam-3440	174	94	d0.5	d0.5	NOUN
ejpam-3440	174	95	}	}	PUNCT
ejpam-3440	174	96	,	,	PUNCT
ejpam-3440	174	97	µe1f5e	µe1f5e	PROPN
ejpam-3440	174	98	=	=	SYM
ejpam-3440	174	99	{	{	PUNCT
ejpam-3440	174	100	a0.5	a0.5	PROPN
ejpam-3440	174	101	,	,	PUNCT
ejpam-3440	174	102	b0	b0	NOUN
ejpam-3440	174	103	,	,	PUNCT
ejpam-3440	174	104	c0.6	c0.6	NOUN
ejpam-3440	174	105	,	,	PUNCT
ejpam-3440	174	106	d0	d0	NOUN
ejpam-3440	174	107	}	}	PUNCT
ejpam-3440	174	108	,	,	PUNCT
ejpam-3440	174	109	µe2f5e	µe2f5e	PROPN
ejpam-3440	174	110	=	=	PUNCT
ejpam-3440	174	111	{	{	PUNCT
ejpam-3440	174	112	a1	a1	PROPN
ejpam-3440	174	113	,	,	PUNCT
ejpam-3440	174	114	b1	b1	NOUN
ejpam-3440	174	115	,	,	PUNCT
ejpam-3440	174	116	c1	c1	NOUN
ejpam-3440	174	117	,	,	PUNCT
ejpam-3440	174	118	d1	d1	PROPN
ejpam-3440	174	119	}	}	PUNCT
ejpam-3440	174	120	,	,	PUNCT
ejpam-3440	174	121	µe1f6e	µe1f6e	X
ejpam-3440	174	122	=	=	PRON
ejpam-3440	174	123	{	{	PUNCT
ejpam-3440	174	124	a0.5	a0.5	VERB
ejpam-3440	174	125	,	,	PUNCT
ejpam-3440	174	126	b0.4	b0.4	PROPN
ejpam-3440	174	127	,	,	PUNCT
ejpam-3440	174	128	c0	c0	NOUN
ejpam-3440	174	129	,	,	PUNCT
ejpam-3440	174	130	d0.5	d0.5	NOUN
ejpam-3440	174	131	}	}	PUNCT
ejpam-3440	174	132	,	,	PUNCT
ejpam-3440	174	133	µe2f6e	µe2f6e	PROPN
ejpam-3440	174	134	=	=	PUNCT
ejpam-3440	174	135	{	{	PUNCT
ejpam-3440	174	136	a0.4	a0.4	X
ejpam-3440	174	137	,	,	PUNCT
ejpam-3440	174	138	b0.3	b0.3	PRON
ejpam-3440	174	139	,	,	PUNCT
ejpam-3440	174	140	c0.6	c0.6	PROPN
ejpam-3440	174	141	,	,	PUNCT
ejpam-3440	174	142	d0.5	d0.5	NOUN
ejpam-3440	174	143	}	}	PUNCT
ejpam-3440	174	144	,	,	PUNCT
ejpam-3440	174	145	µe1f7e	µe1f7e	PROPN
ejpam-3440	174	146	=	=	SYM
ejpam-3440	174	147	{	{	PUNCT
ejpam-3440	174	148	a0.5	a0.5	VERB
ejpam-3440	174	149	,	,	PUNCT
ejpam-3440	174	150	b0.4	b0.4	PROPN
ejpam-3440	174	151	,	,	PUNCT
ejpam-3440	174	152	c0.6	c0.6	PROPN
ejpam-3440	174	153	,	,	PUNCT
ejpam-3440	174	154	d0.5	d0.5	NOUN
ejpam-3440	174	155	}	}	PUNCT
ejpam-3440	174	156	,	,	PUNCT
ejpam-3440	174	157	µe2f7e	µe2f7e	PROPN
ejpam-3440	174	158	=	=	SYM
ejpam-3440	174	159	{	{	PUNCT
ejpam-3440	174	160	a0.4	a0.4	X
ejpam-3440	174	161	,	,	PUNCT
ejpam-3440	174	162	b0.3	b0.3	PRON
ejpam-3440	174	163	,	,	PUNCT
ejpam-3440	174	164	c0.6	c0.6	PROPN
ejpam-3440	174	165	,	,	PUNCT
ejpam-3440	174	166	d0.5	d0.5	NOUN
ejpam-3440	174	167	}	}	PUNCT
ejpam-3440	174	168	,	,	PUNCT
ejpam-3440	174	169	µe1f8e	µe1f8e	PROPN
ejpam-3440	174	170	=	=	SYM
ejpam-3440	174	171	{	{	PUNCT
ejpam-3440	174	172	a1	a1	PROPN
ejpam-3440	174	173	,	,	PUNCT
ejpam-3440	174	174	b1	b1	NOUN
ejpam-3440	174	175	,	,	PUNCT
ejpam-3440	174	176	c1	c1	NOUN
ejpam-3440	174	177	,	,	PUNCT
ejpam-3440	174	178	d1	d1	PROPN
ejpam-3440	174	179	}	}	PUNCT
ejpam-3440	174	180	,	,	PUNCT
ejpam-3440	174	181	µe2f8e	µe2f8e	PROPN
ejpam-3440	174	182	=	=	SYM
ejpam-3440	174	183	{	{	PUNCT
ejpam-3440	174	184	a0.4	a0.4	X
ejpam-3440	174	185	,	,	PUNCT
ejpam-3440	174	186	b0.3	b0.3	PRON
ejpam-3440	174	187	,	,	PUNCT
ejpam-3440	174	188	c0.6	c0.6	PROPN
ejpam-3440	174	189	,	,	PUNCT
ejpam-3440	174	190	d0.5	d0.5	NOUN
ejpam-3440	174	191	}	}	PUNCT
ejpam-3440	174	192	,	,	PUNCT
ejpam-3440	174	193	µe1f9e	µe1f9e	PROPN
ejpam-3440	174	194	=	=	SYM
ejpam-3440	174	195	{	{	PUNCT
ejpam-3440	174	196	a0.5	a0.5	VERB
ejpam-3440	174	197	,	,	PUNCT
ejpam-3440	174	198	b0.4	b0.4	NOUN
ejpam-3440	174	199	,	,	PUNCT
ejpam-3440	174	200	c0.6	c0.6	NOUN
ejpam-3440	174	201	,	,	PUNCT
ejpam-3440	174	202	d0	d0	NOUN
ejpam-3440	174	203	}	}	PUNCT
ejpam-3440	174	204	,	,	PUNCT
ejpam-3440	174	205	µe2f9e	µe2f9e	PROPN
ejpam-3440	174	206	=	=	SYM
ejpam-3440	174	207	{	{	PUNCT
ejpam-3440	174	208	a1	a1	PROPN
ejpam-3440	174	209	,	,	PUNCT
ejpam-3440	174	210	b1	b1	NOUN
ejpam-3440	174	211	,	,	PUNCT
ejpam-3440	174	212	c1	c1	NOUN
ejpam-3440	174	213	,	,	PUNCT
ejpam-3440	174	214	d1	d1	PROPN
ejpam-3440	174	215	}	}	PUNCT
ejpam-3440	174	216	,	,	PUNCT
ejpam-3440	174	217	µe1f10e	µe1f10e	PROPN
ejpam-3440	174	218	=	=	SYM
ejpam-3440	174	219	{	{	PUNCT
ejpam-3440	174	220	a0.5	a0.5	VERB
ejpam-3440	174	221	,	,	PUNCT
ejpam-3440	174	222	b0.4	b0.4	PROPN
ejpam-3440	174	223	,	,	PUNCT
ejpam-3440	174	224	c0.6	c0.6	PROPN
ejpam-3440	174	225	,	,	PUNCT
ejpam-3440	174	226	d0.5	d0.5	NOUN
ejpam-3440	174	227	}	}	PUNCT
ejpam-3440	174	228	,	,	PUNCT
ejpam-3440	174	229	µe2f10e	µe2f10e	PROPN
ejpam-3440	174	230	=	=	SYM
ejpam-3440	174	231	{	{	PUNCT
ejpam-3440	174	232	a0.4	a0.4	PROPN
ejpam-3440	174	233	,	,	PUNCT
ejpam-3440	174	234	b0	b0	NOUN
ejpam-3440	174	235	,	,	PUNCT
ejpam-3440	174	236	c0.6	c0.6	NOUN
ejpam-3440	174	237	,	,	PUNCT
ejpam-3440	174	238	d0.5	d0.5	NOUN
ejpam-3440	174	239	}	}	PUNCT
ejpam-3440	174	240	,	,	PUNCT
ejpam-3440	174	241	µe1f11e	µe1f11e	PROPN
ejpam-3440	174	242	=	=	SYM
ejpam-3440	174	243	{	{	PUNCT
ejpam-3440	174	244	a1	a1	PROPN
ejpam-3440	174	245	,	,	PUNCT
ejpam-3440	174	246	b1	b1	NOUN
ejpam-3440	174	247	,	,	PUNCT
ejpam-3440	174	248	c1	c1	NOUN
ejpam-3440	174	249	,	,	PUNCT
ejpam-3440	174	250	d1	d1	PROPN
ejpam-3440	174	251	}	}	PUNCT
ejpam-3440	174	252	,	,	PUNCT
ejpam-3440	174	253	µe2f11e	µe2f11e	PROPN
ejpam-3440	174	254	=	=	PUNCT
ejpam-3440	174	255	{	{	PUNCT
ejpam-3440	174	256	a0.4	a0.4	NOUN
ejpam-3440	174	257	,	,	PUNCT
ejpam-3440	174	258	b0	b0	NOUN
ejpam-3440	174	259	,	,	PUNCT
ejpam-3440	174	260	c0.6	c0.6	NOUN
ejpam-3440	174	261	,	,	PUNCT
ejpam-3440	174	262	d0.5	d0.5	NOUN
ejpam-3440	174	263	}	}	PUNCT
ejpam-3440	174	264	,	,	PUNCT
ejpam-3440	174	265	µe1f12e	µe1f12e	X
ejpam-3440	174	266	=	=	SYM
ejpam-3440	174	267	{	{	PUNCT
ejpam-3440	174	268	a0.5	a0.5	PROPN
ejpam-3440	174	269	,	,	PUNCT
ejpam-3440	174	270	b0	b0	NOUN
ejpam-3440	174	271	,	,	PUNCT
ejpam-3440	174	272	c0.6	c0.6	NOUN
ejpam-3440	174	273	,	,	PUNCT
ejpam-3440	174	274	d0.5	d0.5	NOUN
ejpam-3440	174	275	}	}	PUNCT
ejpam-3440	174	276	,	,	PUNCT
ejpam-3440	174	277	µe2f12e	µe2f12e	X
ejpam-3440	174	278	=	=	PRON
ejpam-3440	174	279	{	{	PUNCT
ejpam-3440	174	280	a1	a1	PROPN
ejpam-3440	174	281	,	,	PUNCT
ejpam-3440	174	282	b1	b1	NOUN
ejpam-3440	174	283	,	,	PUNCT
ejpam-3440	174	284	c1	c1	NOUN
ejpam-3440	174	285	,	,	PUNCT
ejpam-3440	174	286	d1	d1	PROPN
ejpam-3440	174	287	}	}	PUNCT
ejpam-3440	174	288	.	.	PUNCT
ejpam-3440	175	1	then	then	ADV
ejpam-3440	175	2	,	,	PUNCT
ejpam-3440	175	3	t	t	PROPN
ejpam-3440	175	4	defines	define	VERB
ejpam-3440	175	5	a	a	DET
ejpam-3440	175	6	fuzzy	fuzzy	ADJ
ejpam-3440	175	7	supra	supra	ADJ
ejpam-3440	175	8	soft	soft	ADJ
ejpam-3440	175	9	topology	topology	NOUN
ejpam-3440	175	10	on	on	ADP
ejpam-3440	175	11	x.	x.	NOUN
ejpam-3440	175	12	then	then	ADV
ejpam-3440	175	13	it	it	PRON
ejpam-3440	175	14	is	be	AUX
ejpam-3440	175	15	clear	clear	ADJ
ejpam-3440	175	16	that	that	SCONJ
ejpam-3440	175	17	te1	te1	PROPN
ejpam-3440	175	18	and	and	CCONJ
ejpam-3440	175	19	te2	te2	NOUN
ejpam-3440	175	20	are	be	AUX
ejpam-3440	175	21	fuzzy	fuzzy	ADJ
ejpam-3440	175	22	supra	supra	ADJ
ejpam-3440	175	23	topologies	topology	NOUN
ejpam-3440	175	24	on	on	ADP
ejpam-3440	175	25	x	x	NOUN
ejpam-3440	175	26	,	,	PUNCT
ejpam-3440	175	27	where	where	SCONJ
ejpam-3440	175	28	te1	te1	NOUN
ejpam-3440	175	29	=	=	SYM
ejpam-3440	175	30	{	{	PUNCT
ejpam-3440	175	31	1	1	NUM
ejpam-3440	175	32	,	,	PUNCT
ejpam-3440	175	33	0	0	NUM
ejpam-3440	175	34	,	,	PUNCT
ejpam-3440	175	35	f1e(e1	f1e(e1	ADJ
ejpam-3440	175	36	)	)	PUNCT
ejpam-3440	175	37	,	,	PUNCT
ejpam-3440	175	38	f2e(e1	f2e(e1	PROPN
ejpam-3440	175	39	)	)	PUNCT
ejpam-3440	175	40	,	,	PUNCT
ejpam-3440	175	41	......	......	PUNCT
ejpam-3440	175	42	,	,	PUNCT
ejpam-3440	175	43	f12e(e1	f12e(e1	PROPN
ejpam-3440	175	44	)	)	PUNCT
ejpam-3440	175	45	}	}	PUNCT
ejpam-3440	175	46	,	,	PUNCT
ejpam-3440	175	47	and	and	CCONJ
ejpam-3440	175	48	te2	te2	NOUN
ejpam-3440	175	49	=	=	SYM
ejpam-3440	175	50	{	{	PUNCT
ejpam-3440	175	51	1	1	NUM
ejpam-3440	175	52	,	,	PUNCT
ejpam-3440	175	53	0	0	NUM
ejpam-3440	175	54	,	,	PUNCT
ejpam-3440	175	55	f1e(e2	f1e(e2	PROPN
ejpam-3440	175	56	)	)	PUNCT
ejpam-3440	175	57	,	,	PUNCT
ejpam-3440	175	58	f2e(e2	f2e(e2	NOUN
ejpam-3440	175	59	)	)	PUNCT
ejpam-3440	175	60	,	,	PUNCT
ejpam-3440	175	61	......	......	PUNCT
ejpam-3440	175	62	,	,	PUNCT
ejpam-3440	175	63	f12e(e2	f12e(e2	PROPN
ejpam-3440	175	64	)	)	PUNCT
ejpam-3440	175	65	}	}	PUNCT
ejpam-3440	175	66	.	.	PUNCT
ejpam-3440	176	1	now	now	ADV
ejpam-3440	176	2	we	we	PRON
ejpam-3440	176	3	show	show	VERB
ejpam-3440	176	4	that	that	SCONJ
ejpam-3440	176	5	the	the	DET
ejpam-3440	176	6	converse	converse	NOUN
ejpam-3440	176	7	of	of	ADP
ejpam-3440	176	8	proposition	proposition	NOUN
ejpam-3440	176	9	1	1	NUM
ejpam-3440	176	10	does	do	AUX
ejpam-3440	176	11	not	not	PART
ejpam-3440	176	12	hold	hold	VERB
ejpam-3440	176	13	in	in	ADP
ejpam-3440	176	14	general	general	ADJ
ejpam-3440	176	15	by	by	ADP
ejpam-3440	176	16	giving	give	VERB
ejpam-3440	176	17	the	the	DET
ejpam-3440	176	18	following	follow	VERB
ejpam-3440	176	19	counterexample	counterexample	NOUN
ejpam-3440	176	20	.	.	PUNCT
ejpam-3440	177	1	a.	a.	PROPN
ejpam-3440	177	2	m.	m.	PROPN
ejpam-3440	177	3	abd	abd	PROPN
ejpam-3440	177	4	el	el	PROPN
ejpam-3440	177	5	-	-	PROPN
ejpam-3440	177	6	latif	latif	PROPN
ejpam-3440	177	7	/	/	SYM
ejpam-3440	177	8	eur	eur	PROPN
ejpam-3440	177	9	.	.	PUNCT
ejpam-3440	178	1	j.	j.	PROPN
ejpam-3440	178	2	pure	pure	PROPN
ejpam-3440	178	3	appl	appl	PROPN
ejpam-3440	178	4	.	.	PROPN
ejpam-3440	178	5	math	math	PROPN
ejpam-3440	178	6	,	,	PUNCT
ejpam-3440	178	7	12	12	NUM
ejpam-3440	178	8	(	(	PUNCT
ejpam-3440	178	9	3	3	NUM
ejpam-3440	178	10	)	)	PUNCT
ejpam-3440	178	11	(	(	PUNCT
ejpam-3440	178	12	2019	2019	NUM
ejpam-3440	178	13	)	)	PUNCT
ejpam-3440	178	14	,	,	PUNCT
ejpam-3440	178	15	999	999	NUM
ejpam-3440	178	16	-	-	SYM
ejpam-3440	178	17	1017	1017	NUM
ejpam-3440	178	18	1005	1005	NUM
ejpam-3440	178	19	example	example	NOUN
ejpam-3440	178	20	3	3	X
ejpam-3440	178	21	.	.	PUNCT
ejpam-3440	179	1	let	let	VERB
ejpam-3440	179	2	x	x	PUNCT
ejpam-3440	179	3	=	=	PRON
ejpam-3440	179	4	{	{	PUNCT
ejpam-3440	179	5	a	a	PRON
ejpam-3440	179	6	,	,	PUNCT
ejpam-3440	179	7	b	b	NOUN
ejpam-3440	179	8	,	,	PUNCT
ejpam-3440	179	9	c	c	NOUN
ejpam-3440	179	10	,	,	PUNCT
ejpam-3440	179	11	d	d	AUX
ejpam-3440	179	12	}	}	PUNCT
ejpam-3440	179	13	be	be	AUX
ejpam-3440	179	14	the	the	DET
ejpam-3440	179	15	set	set	NOUN
ejpam-3440	179	16	of	of	ADP
ejpam-3440	179	17	four	four	NUM
ejpam-3440	179	18	houses	house	NOUN
ejpam-3440	179	19	under	under	ADP
ejpam-3440	179	20	consideration	consideration	NOUN
ejpam-3440	179	21	and	and	CCONJ
ejpam-3440	179	22	e	e	NOUN
ejpam-3440	179	23	=	=	NOUN
ejpam-3440	179	24	{	{	PUNCT
ejpam-3440	179	25	e1(wooden	e1(wooden	NOUN
ejpam-3440	179	26	)	)	PUNCT
ejpam-3440	179	27	,	,	PUNCT
ejpam-3440	179	28	e2(luxurious	e2(luxurious	ADJ
ejpam-3440	179	29	)	)	PUNCT
ejpam-3440	179	30	}	}	PUNCT
ejpam-3440	179	31	.	.	PUNCT
ejpam-3440	180	1	define	define	VERB
ejpam-3440	180	2	the	the	DET
ejpam-3440	180	3	fuzzy	fuzzy	ADJ
ejpam-3440	180	4	soft	soft	ADJ
ejpam-3440	180	5	sets	set	NOUN
ejpam-3440	180	6	fi	fi	NOUN
ejpam-3440	180	7	:	:	PUNCT
ejpam-3440	181	1	e	e	X
ejpam-3440	181	2	→	→	PUNCT
ejpam-3440	181	3	ix	ix	ADV
ejpam-3440	181	4	on	on	ADP
ejpam-3440	181	5	x	x	PRON
ejpam-3440	181	6	,	,	PUNCT
ejpam-3440	181	7	1	1	NUM
ejpam-3440	181	8	≤	≤	NUM
ejpam-3440	181	9	i	i	X
ejpam-3440	181	10	≤	≤	NOUN
ejpam-3440	181	11	5	5	NUM
ejpam-3440	181	12	,	,	PUNCT
ejpam-3440	181	13	representing	represent	VERB
ejpam-3440	181	14	the	the	DET
ejpam-3440	181	15	”	"	PUNCT
ejpam-3440	181	16	the	the	DET
ejpam-3440	181	17	goodness	goodness	NOUN
ejpam-3440	181	18	of	of	ADP
ejpam-3440	181	19	the	the	DET
ejpam-3440	181	20	houses	house	NOUN
ejpam-3440	181	21	”	"	PUNCT
ejpam-3440	181	22	which	which	PRON
ejpam-3440	181	23	some	some	DET
ejpam-3440	181	24	persons	person	NOUN
ejpam-3440	181	25	are	be	AUX
ejpam-3440	181	26	going	go	VERB
ejpam-3440	181	27	to	to	PART
ejpam-3440	181	28	buy	buy	VERB
ejpam-3440	181	29	,	,	PUNCT
ejpam-3440	181	30	respectively	respectively	ADV
ejpam-3440	181	31	which	which	PRON
ejpam-3440	181	32	defined	define	VERB
ejpam-3440	181	33	as	as	SCONJ
ejpam-3440	181	34	follows	follow	VERB
ejpam-3440	181	35	:	:	PUNCT
ejpam-3440	181	36	µe1f1e	µe1f1e	PROPN
ejpam-3440	181	37	=	=	PUNCT
ejpam-3440	181	38	{	{	PUNCT
ejpam-3440	181	39	a0.5	a0.5	PROPN
ejpam-3440	181	40	,	,	PUNCT
ejpam-3440	181	41	b0.4	b0.4	PROPN
ejpam-3440	181	42	,	,	PUNCT
ejpam-3440	181	43	c0	c0	NOUN
ejpam-3440	181	44	,	,	PUNCT
ejpam-3440	181	45	d0	d0	NOUN
ejpam-3440	181	46	}	}	PUNCT
ejpam-3440	181	47	,	,	PUNCT
ejpam-3440	181	48	µe2f1e	µe2f1e	PROPN
ejpam-3440	181	49	=	=	PUNCT
ejpam-3440	181	50	{	{	PUNCT
ejpam-3440	181	51	a0	a0	PROPN
ejpam-3440	181	52	,	,	PUNCT
ejpam-3440	181	53	b0.3	b0.3	PROPN
ejpam-3440	181	54	,	,	PUNCT
ejpam-3440	181	55	c0	c0	NOUN
ejpam-3440	181	56	,	,	PUNCT
ejpam-3440	181	57	d0.5	d0.5	NOUN
ejpam-3440	181	58	}	}	PUNCT
ejpam-3440	181	59	,	,	PUNCT
ejpam-3440	181	60	µe1f2e	µe1f2e	PROPN
ejpam-3440	181	61	=	=	SYM
ejpam-3440	181	62	{	{	PUNCT
ejpam-3440	181	63	a0	a0	PROPN
ejpam-3440	181	64	,	,	PUNCT
ejpam-3440	181	65	b0.4	b0.4	PROPN
ejpam-3440	181	66	,	,	PUNCT
ejpam-3440	181	67	c0	c0	NOUN
ejpam-3440	181	68	,	,	PUNCT
ejpam-3440	181	69	d0.5	d0.5	NOUN
ejpam-3440	181	70	}	}	PUNCT
ejpam-3440	181	71	,	,	PUNCT
ejpam-3440	181	72	µe2f2e	µe2f2e	VERB
ejpam-3440	181	73	=	=	SYM
ejpam-3440	181	74	{	{	PUNCT
ejpam-3440	181	75	a0.4	a0.4	NOUN
ejpam-3440	181	76	,	,	PUNCT
ejpam-3440	181	77	b0	b0	NOUN
ejpam-3440	181	78	,	,	PUNCT
ejpam-3440	181	79	c0.6	c0.6	NOUN
ejpam-3440	181	80	,	,	PUNCT
ejpam-3440	181	81	d0	d0	NOUN
ejpam-3440	181	82	}	}	PUNCT
ejpam-3440	181	83	,	,	PUNCT
ejpam-3440	181	84	µe1f3e	µe1f3e	PROPN
ejpam-3440	181	85	=	=	PRON
ejpam-3440	181	86	{	{	PUNCT
ejpam-3440	181	87	a0.5	a0.5	PROPN
ejpam-3440	181	88	,	,	PUNCT
ejpam-3440	181	89	b0	b0	NOUN
ejpam-3440	181	90	,	,	PUNCT
ejpam-3440	181	91	c0.6	c0.6	NOUN
ejpam-3440	181	92	,	,	PUNCT
ejpam-3440	181	93	d0	d0	NOUN
ejpam-3440	181	94	}	}	PUNCT
ejpam-3440	181	95	,	,	PUNCT
ejpam-3440	181	96	µe2f3e	µe2f3e	PROPN
ejpam-3440	181	97	=	=	PRON
ejpam-3440	181	98	{	{	PUNCT
ejpam-3440	181	99	a0.4	a0.4	NOUN
ejpam-3440	181	100	,	,	PUNCT
ejpam-3440	181	101	b0	b0	NOUN
ejpam-3440	181	102	,	,	PUNCT
ejpam-3440	181	103	c0.6	c0.6	NOUN
ejpam-3440	181	104	,	,	PUNCT
ejpam-3440	181	105	d0.5	d0.5	NOUN
ejpam-3440	181	106	}	}	PUNCT
ejpam-3440	181	107	,	,	PUNCT
ejpam-3440	181	108	µe1f4e	µe1f4e	PROPN
ejpam-3440	181	109	=	=	SYM
ejpam-3440	181	110	{	{	PUNCT
ejpam-3440	181	111	a1	a1	PROPN
ejpam-3440	181	112	,	,	PUNCT
ejpam-3440	181	113	b1	b1	NOUN
ejpam-3440	181	114	,	,	PUNCT
ejpam-3440	181	115	c1	c1	NOUN
ejpam-3440	181	116	,	,	PUNCT
ejpam-3440	181	117	d1	d1	PROPN
ejpam-3440	181	118	}	}	PUNCT
ejpam-3440	181	119	,	,	PUNCT
ejpam-3440	181	120	µe2f4e	µe2f4e	PUNCT
ejpam-3440	181	121	=	=	SYM
ejpam-3440	181	122	{	{	PUNCT
ejpam-3440	181	123	a0.4	a0.4	PROPN
ejpam-3440	181	124	,	,	PUNCT
ejpam-3440	181	125	b0	b0	NOUN
ejpam-3440	181	126	,	,	PUNCT
ejpam-3440	181	127	c0.6	c0.6	NOUN
ejpam-3440	181	128	,	,	PUNCT
ejpam-3440	181	129	d0.5	d0.5	NOUN
ejpam-3440	181	130	}	}	PUNCT
ejpam-3440	181	131	,	,	PUNCT
ejpam-3440	181	132	µe1f5e	µe1f5e	PROPN
ejpam-3440	181	133	=	=	SYM
ejpam-3440	181	134	{	{	PUNCT
ejpam-3440	181	135	a0.5	a0.5	PROPN
ejpam-3440	181	136	,	,	PUNCT
ejpam-3440	181	137	b0	b0	NOUN
ejpam-3440	181	138	,	,	PUNCT
ejpam-3440	181	139	c0.6	c0.6	NOUN
ejpam-3440	181	140	,	,	PUNCT
ejpam-3440	181	141	d0	d0	NOUN
ejpam-3440	181	142	}	}	PUNCT
ejpam-3440	181	143	,	,	PUNCT
ejpam-3440	181	144	µe2f5e	µe2f5e	PROPN
ejpam-3440	181	145	=	=	PUNCT
ejpam-3440	181	146	{	{	PUNCT
ejpam-3440	181	147	a1	a1	PROPN
ejpam-3440	181	148	,	,	PUNCT
ejpam-3440	181	149	b1	b1	NOUN
ejpam-3440	181	150	,	,	PUNCT
ejpam-3440	181	151	c1	c1	NOUN
ejpam-3440	181	152	,	,	PUNCT
ejpam-3440	181	153	d1	d1	PROPN
ejpam-3440	181	154	}	}	PUNCT
ejpam-3440	181	155	.	.	PUNCT
ejpam-3440	182	1	then	then	ADV
ejpam-3440	182	2	,	,	PUNCT
ejpam-3440	182	3	te1	te1	NOUN
ejpam-3440	182	4	=	=	SYM
ejpam-3440	182	5	{	{	PUNCT
ejpam-3440	182	6	1	1	NUM
ejpam-3440	182	7	,	,	PUNCT
ejpam-3440	182	8	0	0	NUM
ejpam-3440	182	9	,	,	PUNCT
ejpam-3440	182	10	f1e(e1	f1e(e1	ADJ
ejpam-3440	182	11	)	)	PUNCT
ejpam-3440	182	12	,	,	PUNCT
ejpam-3440	182	13	f2e(e1	f2e(e1	PROPN
ejpam-3440	182	14	)	)	PUNCT
ejpam-3440	182	15	,	,	PUNCT
ejpam-3440	182	16	......	......	PUNCT
ejpam-3440	182	17	,	,	PUNCT
ejpam-3440	182	18	f12e(e1	f12e(e1	PROPN
ejpam-3440	182	19	)	)	PUNCT
ejpam-3440	182	20	}	}	PUNCT
ejpam-3440	182	21	,	,	PUNCT
ejpam-3440	182	22	and	and	CCONJ
ejpam-3440	182	23	te2	te2	NOUN
ejpam-3440	182	24	=	=	SYM
ejpam-3440	182	25	{	{	PUNCT
ejpam-3440	182	26	1	1	NUM
ejpam-3440	182	27	,	,	PUNCT
ejpam-3440	182	28	0	0	NUM
ejpam-3440	182	29	,	,	PUNCT
ejpam-3440	182	30	f1e(e2	f1e(e2	PROPN
ejpam-3440	182	31	)	)	PUNCT
ejpam-3440	182	32	,	,	PUNCT
ejpam-3440	182	33	f2e(e2	f2e(e2	NOUN
ejpam-3440	182	34	)	)	PUNCT
ejpam-3440	182	35	,	,	PUNCT
ejpam-3440	182	36	......	......	PUNCT
ejpam-3440	182	37	,	,	PUNCT
ejpam-3440	182	38	f12e(e2	f12e(e2	PROPN
ejpam-3440	182	39	)	)	PUNCT
ejpam-3440	182	40	}	}	PUNCT
ejpam-3440	182	41	.	.	PUNCT
ejpam-3440	183	1	are	be	AUX
ejpam-3440	183	2	fuzzy	fuzzy	ADJ
ejpam-3440	183	3	supra	supra	ADJ
ejpam-3440	183	4	topologies	topology	NOUN
ejpam-3440	183	5	on	on	ADP
ejpam-3440	183	6	x	x	NOUN
ejpam-3440	183	7	,	,	PUNCT
ejpam-3440	183	8	at	at	ADP
ejpam-3440	183	9	the	the	DET
ejpam-3440	183	10	time	time	NOUN
ejpam-3440	183	11	that	that	SCONJ
ejpam-3440	183	12	the	the	DET
ejpam-3440	183	13	collection	collection	NOUN
ejpam-3440	183	14	t	t	NOUN
ejpam-3440	183	15	=	=	PUNCT
ejpam-3440	183	16	{	{	PUNCT
ejpam-3440	183	17	1̃e	1̃e	NUM
ejpam-3440	183	18	,	,	PUNCT
ejpam-3440	183	19	0̃e	0̃e	INTJ
ejpam-3440	183	20	,	,	PUNCT
ejpam-3440	183	21	f1e	f1e	PROPN
ejpam-3440	183	22	,	,	PUNCT
ejpam-3440	183	23	f2e	f2e	PROPN
ejpam-3440	183	24	,	,	PUNCT
ejpam-3440	183	25	f3e	f3e	INTJ
ejpam-3440	183	26	,	,	PUNCT
ejpam-3440	183	27	f4e	f4e	PROPN
ejpam-3440	183	28	,	,	PUNCT
ejpam-3440	183	29	f5e	f5e	PROPN
ejpam-3440	183	30	}	}	PUNCT
ejpam-3440	183	31	is	be	AUX
ejpam-3440	183	32	not	not	PART
ejpam-3440	183	33	fssts	fsst	NOUN
ejpam-3440	183	34	,	,	PUNCT
ejpam-3440	183	35	where	where	SCONJ
ejpam-3440	183	36	f1e	f1e	PROPN
ejpam-3440	183	37	t	t	PROPN
ejpam-3440	183	38	f2e	f2e	PROPN
ejpam-3440	183	39	,	,	PUNCT
ejpam-3440	183	40	f2e	f2e	PROPN
ejpam-3440	183	41	t	t	PROPN
ejpam-3440	184	1	f3e	f3e	INTJ
ejpam-3440	184	2	,	,	PUNCT
ejpam-3440	184	3	f3e	f3e	PROPN
ejpam-3440	184	4	t	t	PROPN
ejpam-3440	184	5	f5e	f5e	PROPN
ejpam-3440	184	6	,	,	PUNCT
ejpam-3440	184	7	f1e	f1e	PROPN
ejpam-3440	184	8	t	t	PROPN
ejpam-3440	184	9	f3e	f3e	PROPN
ejpam-3440	184	10	,	,	PUNCT
ejpam-3440	184	11	f1e	f1e	PROPN
ejpam-3440	184	12	t	t	PROPN
ejpam-3440	184	13	f5e	f5e	PROPN
ejpam-3440	184	14	,	,	PUNCT
ejpam-3440	184	15	f2e	f2e	PROPN
ejpam-3440	184	16	t	t	PROPN
ejpam-3440	184	17	f5e	f5e	PROPN
ejpam-3440	184	18	6∈	6∈	PROPN
ejpam-3440	184	19	t.	t.	NOUN
ejpam-3440	184	20	proposition	proposition	NOUN
ejpam-3440	184	21	2	2	X
ejpam-3440	184	22	.	.	PUNCT
ejpam-3440	185	1	let	let	VERB
ejpam-3440	185	2	(	(	PUNCT
ejpam-3440	185	3	x	x	NOUN
ejpam-3440	185	4	,	,	PUNCT
ejpam-3440	185	5	t1	t1	NOUN
ejpam-3440	185	6	,	,	PUNCT
ejpam-3440	185	7	e	e	NOUN
ejpam-3440	185	8	)	)	PUNCT
ejpam-3440	185	9	and	and	CCONJ
ejpam-3440	185	10	(	(	PUNCT
ejpam-3440	185	11	x	x	X
ejpam-3440	185	12	,	,	PUNCT
ejpam-3440	185	13	t2	t2	NOUN
ejpam-3440	185	14	,	,	PUNCT
ejpam-3440	185	15	e	e	NOUN
ejpam-3440	185	16	)	)	PUNCT
ejpam-3440	185	17	be	be	VERB
ejpam-3440	185	18	two	two	NUM
ejpam-3440	185	19	fssts	fsst	NOUN
ejpam-3440	185	20	over	over	ADP
ejpam-3440	185	21	the	the	DET
ejpam-3440	185	22	same	same	ADJ
ejpam-3440	185	23	universe	universe	NOUN
ejpam-3440	185	24	x	x	NOUN
ejpam-3440	185	25	,	,	PUNCT
ejpam-3440	185	26	then	then	ADV
ejpam-3440	185	27	(	(	PUNCT
ejpam-3440	185	28	x	x	X
ejpam-3440	185	29	,	,	PUNCT
ejpam-3440	185	30	t1	t1	NOUN
ejpam-3440	185	31	∧	∧	PROPN
ejpam-3440	185	32	t2	t2	PROPN
ejpam-3440	185	33	,	,	PUNCT
ejpam-3440	185	34	e	e	NOUN
ejpam-3440	185	35	)	)	PUNCT
ejpam-3440	185	36	is	be	AUX
ejpam-3440	185	37	a	a	DET
ejpam-3440	185	38	fssts	fsst	NOUN
ejpam-3440	185	39	on	on	ADP
ejpam-3440	185	40	x.	x.	NOUN
ejpam-3440	185	41	proof	proof	NOUN
ejpam-3440	185	42	.	.	PUNCT
ejpam-3440	186	1	(	(	PUNCT
ejpam-3440	186	2	1	1	X
ejpam-3440	186	3	)	)	PUNCT
ejpam-3440	186	4	since	since	SCONJ
ejpam-3440	186	5	1̃e	1̃e	NUM
ejpam-3440	186	6	,	,	PUNCT
ejpam-3440	186	7	0̃e	0̃e	PROPN
ejpam-3440	186	8	∈	∈	PROPN
ejpam-3440	186	9	t1	t1	NOUN
ejpam-3440	186	10	and	and	CCONJ
ejpam-3440	186	11	1̃e	1̃e	NUM
ejpam-3440	186	12	,	,	PUNCT
ejpam-3440	186	13	0̃e	0̃e	PROPN
ejpam-3440	186	14	∈	∈	PROPN
ejpam-3440	186	15	t2	t2	NOUN
ejpam-3440	186	16	,	,	PUNCT
ejpam-3440	186	17	1̃e	1̃e	NUM
ejpam-3440	186	18	,	,	PUNCT
ejpam-3440	187	1	0̃e	0̃e	PROPN
ejpam-3440	187	2	∈	∈	PROPN
ejpam-3440	187	3	t1	t1	NOUN
ejpam-3440	187	4	∧	∧	PROPN
ejpam-3440	187	5	t2	t2	NOUN
ejpam-3440	187	6	.	.	PUNCT
ejpam-3440	188	1	(	(	PUNCT
ejpam-3440	188	2	2	2	X
ejpam-3440	188	3	)	)	PUNCT
ejpam-3440	188	4	consider	consider	VERB
ejpam-3440	188	5	the	the	DET
ejpam-3440	188	6	collection	collection	NOUN
ejpam-3440	188	7	of	of	ADP
ejpam-3440	188	8	fuzzy	fuzzy	ADJ
ejpam-3440	188	9	soft	soft	ADJ
ejpam-3440	188	10	sets	set	NOUN
ejpam-3440	188	11	{	{	PUNCT
ejpam-3440	188	12	fie	fie	NOUN
ejpam-3440	188	13	:	:	PUNCT
ejpam-3440	188	14	i	i	PRON
ejpam-3440	188	15	∈	∈	VERB
ejpam-3440	188	16	i	i	PRON
ejpam-3440	188	17	}	}	PUNCT
ejpam-3440	188	18	∈	∈	PROPN
ejpam-3440	188	19	t1	t1	NOUN
ejpam-3440	188	20	∧t2	∧t2	NOUN
ejpam-3440	188	21	.	.	PUNCT
ejpam-3440	189	1	then	then	ADV
ejpam-3440	189	2	{	{	PUNCT
ejpam-3440	189	3	fie	fie	NOUN
ejpam-3440	189	4	:	:	PUNCT
ejpam-3440	189	5	i	i	PRON
ejpam-3440	189	6	∈	∈	VERB
ejpam-3440	189	7	i	i	PRON
ejpam-3440	189	8	}	}	PUNCT
ejpam-3440	189	9	∈	∈	PROPN
ejpam-3440	189	10	t1	t1	NOUN
ejpam-3440	189	11	and	and	CCONJ
ejpam-3440	189	12	{	{	PUNCT
ejpam-3440	189	13	fie	fie	NOUN
ejpam-3440	189	14	:	:	PUNCT
ejpam-3440	189	15	i	i	PRON
ejpam-3440	189	16	∈	∈	VERB
ejpam-3440	189	17	i	i	PRON
ejpam-3440	189	18	}	}	PUNCT
ejpam-3440	189	19	∈	∈	PROPN
ejpam-3440	189	20	t2	t2	NOUN
ejpam-3440	189	21	.	.	PUNCT
ejpam-3440	190	1	hence	hence	ADV
ejpam-3440	190	2	,	,	PUNCT
ejpam-3440	190	3	⊔	⊔	PROPN
ejpam-3440	190	4	i∈i	i∈i	ADJ
ejpam-3440	190	5	fie	fie	NOUN
ejpam-3440	190	6	∈	∈	PROPN
ejpam-3440	190	7	t1	t1	NOUN
ejpam-3440	190	8	and	and	CCONJ
ejpam-3440	190	9	⊔	⊔	PROPN
ejpam-3440	190	10	i∈i	i∈i	ADJ
ejpam-3440	190	11	fie	fie	NOUN
ejpam-3440	190	12	∈	∈	PROPN
ejpam-3440	190	13	t2	t2	NOUN
ejpam-3440	190	14	.	.	PUNCT
ejpam-3440	191	1	it	it	PRON
ejpam-3440	191	2	is	be	AUX
ejpam-3440	191	3	follows,⊔	follows,⊔	NOUN
ejpam-3440	191	4	i∈i	i∈i	ADJ
ejpam-3440	191	5	fie	fie	NOUN
ejpam-3440	191	6	∈	∈	PROPN
ejpam-3440	191	7	t1	t1	NOUN
ejpam-3440	191	8	∧	∧	PROPN
ejpam-3440	191	9	t2	t2	PROPN
ejpam-3440	191	10	.	.	PUNCT
ejpam-3440	192	1	therefore	therefore	ADV
ejpam-3440	192	2	,	,	PUNCT
ejpam-3440	192	3	t1	t1	PROPN
ejpam-3440	192	4	∧	∧	PROPN
ejpam-3440	192	5	t2	t2	PROPN
ejpam-3440	192	6	is	be	AUX
ejpam-3440	192	7	a	a	DET
ejpam-3440	192	8	fssts	fsst	NOUN
ejpam-3440	192	9	on	on	ADP
ejpam-3440	192	10	x.	x.	NOUN
ejpam-3440	192	11	remarks	remark	VERB
ejpam-3440	192	12	2	2	NUM
ejpam-3440	192	13	.	.	PUNCT
ejpam-3440	193	1	the	the	DET
ejpam-3440	193	2	union	union	NOUN
ejpam-3440	193	3	of	of	ADP
ejpam-3440	193	4	fssts	fsst	NOUN
ejpam-3440	193	5	need	need	VERB
ejpam-3440	193	6	not	not	PART
ejpam-3440	193	7	to	to	PART
ejpam-3440	193	8	be	be	AUX
ejpam-3440	193	9	a	a	DET
ejpam-3440	193	10	fssts	fsst	NOUN
ejpam-3440	193	11	in	in	ADP
ejpam-3440	193	12	general	general	ADJ
ejpam-3440	193	13	,	,	PUNCT
ejpam-3440	193	14	as	as	SCONJ
ejpam-3440	193	15	will	will	AUX
ejpam-3440	193	16	shown	show	VERB
ejpam-3440	193	17	in	in	ADP
ejpam-3440	193	18	the	the	DET
ejpam-3440	193	19	following	follow	VERB
ejpam-3440	193	20	example	example	NOUN
ejpam-3440	193	21	.	.	PUNCT
ejpam-3440	194	1	example	example	NOUN
ejpam-3440	195	1	4	4	NUM
ejpam-3440	195	2	.	.	PUNCT
ejpam-3440	195	3	let	let	VERB
ejpam-3440	195	4	x	x	PUNCT
ejpam-3440	195	5	=	=	PRON
ejpam-3440	195	6	{	{	PUNCT
ejpam-3440	195	7	a	a	PRON
ejpam-3440	195	8	,	,	PUNCT
ejpam-3440	195	9	b	b	NOUN
ejpam-3440	195	10	,	,	PUNCT
ejpam-3440	195	11	c	c	AUX
ejpam-3440	195	12	}	}	PUNCT
ejpam-3440	195	13	be	be	AUX
ejpam-3440	195	14	the	the	DET
ejpam-3440	195	15	set	set	NOUN
ejpam-3440	195	16	of	of	ADP
ejpam-3440	195	17	four	four	NUM
ejpam-3440	195	18	watches	watch	NOUN
ejpam-3440	195	19	under	under	ADP
ejpam-3440	195	20	consideration	consideration	NOUN
ejpam-3440	195	21	and	and	CCONJ
ejpam-3440	195	22	e	e	NOUN
ejpam-3440	195	23	=	=	NOUN
ejpam-3440	195	24	{	{	PUNCT
ejpam-3440	195	25	e1(expensive	e1(expensive	NUM
ejpam-3440	195	26	)	)	PUNCT
ejpam-3440	195	27	,	,	PUNCT
ejpam-3440	195	28	e2(luxurious	e2(luxurious	ADJ
ejpam-3440	195	29	)	)	PUNCT
ejpam-3440	195	30	}	}	PUNCT
ejpam-3440	195	31	.	.	PUNCT
ejpam-3440	196	1	let	let	VERB
ejpam-3440	196	2	a	a	PRON
ejpam-3440	196	3	,	,	PUNCT
ejpam-3440	196	4	b	b	PROPN
ejpam-3440	196	5	⊆	⊆	NUM
ejpam-3440	196	6	e	e	NOUN
ejpam-3440	196	7	where	where	SCONJ
ejpam-3440	196	8	a	a	PRON
ejpam-3440	196	9	=	=	SYM
ejpam-3440	196	10	{	{	PUNCT
ejpam-3440	196	11	e1	e1	PROPN
ejpam-3440	196	12	,	,	PUNCT
ejpam-3440	196	13	e2	e2	NOUN
ejpam-3440	196	14	}	}	PUNCT
ejpam-3440	196	15	and	and	CCONJ
ejpam-3440	196	16	b	b	X
ejpam-3440	196	17	=	=	SYM
ejpam-3440	196	18	{	{	PUNCT
ejpam-3440	196	19	e2	e2	PROPN
ejpam-3440	196	20	,	,	PUNCT
ejpam-3440	196	21	e3	e3	NOUN
ejpam-3440	196	22	}	}	PUNCT
ejpam-3440	196	23	.	.	PUNCT
ejpam-3440	197	1	let	let	VERB
ejpam-3440	197	2	t1	t1	NOUN
ejpam-3440	197	3	=	=	PUNCT
ejpam-3440	197	4	{	{	PUNCT
ejpam-3440	197	5	1̃e	1̃e	NUM
ejpam-3440	197	6	,	,	PUNCT
ejpam-3440	197	7	0̃e	0̃e	PROPN
ejpam-3440	197	8	,	,	PUNCT
ejpam-3440	197	9	f1a	f1a	PROPN
ejpam-3440	197	10	,	,	PUNCT
ejpam-3440	197	11	f2b	f2b	X
ejpam-3440	197	12	,	,	PUNCT
ejpam-3440	197	13	f3e	f3e	PROPN
ejpam-3440	197	14	}	}	PUNCT
ejpam-3440	197	15	and	and	CCONJ
ejpam-3440	197	16	t2	t2	NOUN
ejpam-3440	197	17	=	=	PUNCT
ejpam-3440	197	18	{	{	PUNCT
ejpam-3440	197	19	1̃e	1̃e	NUM
ejpam-3440	197	20	,	,	PUNCT
ejpam-3440	197	21	0̃e	0̃e	PROPN
ejpam-3440	197	22	,	,	PUNCT
ejpam-3440	197	23	g1e	g1e	PROPN
ejpam-3440	197	24	,	,	PUNCT
ejpam-3440	197	25	g2b	g2b	NOUN
ejpam-3440	197	26	,	,	PUNCT
ejpam-3440	197	27	g3e	g3e	PROPN
ejpam-3440	197	28	}	}	PUNCT
ejpam-3440	197	29	where	where	SCONJ
ejpam-3440	197	30	f1a	f1a	PROPN
ejpam-3440	197	31	,	,	PUNCT
ejpam-3440	197	32	f2b	f2b	PROPN
ejpam-3440	197	33	,	,	PUNCT
ejpam-3440	197	34	f3e	f3e	INTJ
ejpam-3440	197	35	,	,	PUNCT
ejpam-3440	197	36	g1e	g1e	PROPN
ejpam-3440	197	37	,	,	PUNCT
ejpam-3440	197	38	g2b	g2b	NOUN
ejpam-3440	197	39	,	,	PUNCT
ejpam-3440	197	40	g3e	g3e	PROPN
ejpam-3440	197	41	are	be	AUX
ejpam-3440	197	42	fuzzy	fuzzy	ADJ
ejpam-3440	197	43	soft	soft	ADJ
ejpam-3440	197	44	sets	set	NOUN
ejpam-3440	197	45	over	over	ADP
ejpam-3440	197	46	x	x	NOUN
ejpam-3440	197	47	,	,	PUNCT
ejpam-3440	197	48	representing	represent	VERB
ejpam-3440	197	49	the	the	DET
ejpam-3440	197	50	”	"	PUNCT
ejpam-3440	197	51	the	the	DET
ejpam-3440	197	52	compositions	composition	NOUN
ejpam-3440	197	53	of	of	ADP
ejpam-3440	197	54	the	the	DET
ejpam-3440	197	55	watches	watch	NOUN
ejpam-3440	197	56	”	"	PUNCT
ejpam-3440	197	57	which	which	PRON
ejpam-3440	197	58	some	some	DET
ejpam-3440	197	59	persons	person	NOUN
ejpam-3440	197	60	are	be	AUX
ejpam-3440	197	61	going	go	VERB
ejpam-3440	197	62	to	to	PART
ejpam-3440	197	63	buy	buy	VERB
ejpam-3440	197	64	,	,	PUNCT
ejpam-3440	197	65	respectively	respectively	ADV
ejpam-3440	197	66	which	which	PRON
ejpam-3440	197	67	defined	define	VERB
ejpam-3440	197	68	as	as	ADP
ejpam-3440	197	69	follows	follow	VERB
ejpam-3440	197	70	:	:	PUNCT
ejpam-3440	197	71	µe1f1a	µe1f1a	PROPN
ejpam-3440	197	72	=	=	SYM
ejpam-3440	197	73	{	{	PUNCT
ejpam-3440	197	74	a0.65	a0.65	PROPN
ejpam-3440	197	75	,	,	PUNCT
ejpam-3440	197	76	b0.7	b0.7	PROPN
ejpam-3440	197	77	,	,	PUNCT
ejpam-3440	197	78	c0.35	c0.35	NOUN
ejpam-3440	197	79	}	}	PUNCT
ejpam-3440	197	80	,	,	PUNCT
ejpam-3440	197	81	µe2f1a	µe2f1a	PROPN
ejpam-3440	197	82	=	=	SYM
ejpam-3440	197	83	{	{	PUNCT
ejpam-3440	197	84	a0.5	a0.5	VERB
ejpam-3440	197	85	,	,	PUNCT
ejpam-3440	197	86	b0.3	b0.3	PRON
ejpam-3440	197	87	,	,	PUNCT
ejpam-3440	197	88	c0.9	c0.9	PROPN
ejpam-3440	197	89	}	}	PUNCT
ejpam-3440	197	90	,	,	PUNCT
ejpam-3440	197	91	µe2f2b	µe2f2b	PROPN
ejpam-3440	197	92	=	=	PUNCT
ejpam-3440	197	93	{	{	PUNCT
ejpam-3440	197	94	a0.4	a0.4	X
ejpam-3440	197	95	,	,	PUNCT
ejpam-3440	197	96	b0.7	b0.7	PROPN
ejpam-3440	197	97	,	,	PUNCT
ejpam-3440	197	98	c0.25	c0.25	PROPN
ejpam-3440	197	99	}	}	PUNCT
ejpam-3440	197	100	,	,	PUNCT
ejpam-3440	197	101	µe3f2b	µe3f2b	PROPN
ejpam-3440	197	102	=	=	SYM
ejpam-3440	197	103	{	{	PUNCT
ejpam-3440	197	104	a0.3	a0.3	PROPN
ejpam-3440	197	105	,	,	PUNCT
ejpam-3440	197	106	b0.35	b0.35	PROPN
ejpam-3440	197	107	,	,	PUNCT
ejpam-3440	197	108	c0.45	c0.45	PROPN
ejpam-3440	197	109	}	}	PUNCT
ejpam-3440	197	110	,	,	PUNCT
ejpam-3440	197	111	µe1f3e	µe1f3e	PROPN
ejpam-3440	197	112	=	=	PUNCT
ejpam-3440	197	113	{	{	PUNCT
ejpam-3440	197	114	a0.65	a0.65	PROPN
ejpam-3440	197	115	,	,	PUNCT
ejpam-3440	197	116	b0.7	b0.7	PROPN
ejpam-3440	197	117	,	,	PUNCT
ejpam-3440	197	118	c0.35	c0.35	NOUN
ejpam-3440	197	119	}	}	PUNCT
ejpam-3440	197	120	,	,	PUNCT
ejpam-3440	197	121	µe2f3e	µe2f3e	PROPN
ejpam-3440	197	122	=	=	PRON
ejpam-3440	197	123	{	{	PUNCT
ejpam-3440	197	124	a0.5	a0.5	VERB
ejpam-3440	197	125	,	,	PUNCT
ejpam-3440	197	126	b0.7	b0.7	NUM
ejpam-3440	197	127	,	,	PUNCT
ejpam-3440	197	128	c0.9	c0.9	NOUN
ejpam-3440	197	129	}	}	PUNCT
ejpam-3440	197	130	,	,	PUNCT
ejpam-3440	198	1	µe2f3e	µe2f3e	PROPN
ejpam-3440	198	2	=	=	PRON
ejpam-3440	198	3	{	{	PUNCT
ejpam-3440	198	4	a0.3	a0.3	PROPN
ejpam-3440	198	5	,	,	PUNCT
ejpam-3440	198	6	b0.35	b0.35	PROPN
ejpam-3440	198	7	,	,	PUNCT
ejpam-3440	198	8	c0.45	c0.45	PROPN
ejpam-3440	198	9	}	}	PUNCT
ejpam-3440	198	10	,	,	PUNCT
ejpam-3440	198	11	µe1g1e	µe1g1e	PROPN
ejpam-3440	198	12	=	=	PRON
ejpam-3440	198	13	{	{	PUNCT
ejpam-3440	198	14	a0.3	a0.3	PROPN
ejpam-3440	198	15	,	,	PUNCT
ejpam-3440	198	16	b0.5	b0.5	NOUN
ejpam-3440	198	17	,	,	PUNCT
ejpam-3440	198	18	c0	c0	NOUN
ejpam-3440	198	19	}	}	PUNCT
ejpam-3440	198	20	,	,	PUNCT
ejpam-3440	198	21	µe2g1e	µe2g1e	PUNCT
ejpam-3440	198	22	=	=	PRON
ejpam-3440	198	23	{	{	PUNCT
ejpam-3440	198	24	a0.4	a0.4	X
ejpam-3440	198	25	,	,	PUNCT
ejpam-3440	198	26	b0.7	b0.7	PROPN
ejpam-3440	198	27	,	,	PUNCT
ejpam-3440	198	28	c0.1	c0.1	PROPN
ejpam-3440	198	29	}	}	PUNCT
ejpam-3440	198	30	,	,	PUNCT
ejpam-3440	198	31	µe3g1e	µe3g1e	PROPN
ejpam-3440	198	32	=	=	PRON
ejpam-3440	198	33	{	{	PUNCT
ejpam-3440	198	34	a0.3	a0.3	PROPN
ejpam-3440	198	35	,	,	PUNCT
ejpam-3440	198	36	b0.2	b0.2	PROPN
ejpam-3440	198	37	,	,	PUNCT
ejpam-3440	198	38	c0.95	c0.95	PROPN
ejpam-3440	198	39	}	}	PUNCT
ejpam-3440	198	40	,	,	PUNCT
ejpam-3440	198	41	µe2g2b	µe2g2b	PROPN
ejpam-3440	198	42	=	=	SYM
ejpam-3440	198	43	{	{	PUNCT
ejpam-3440	198	44	a0.5	a0.5	VERB
ejpam-3440	198	45	,	,	PUNCT
ejpam-3440	198	46	b0.6	b0.6	NOUN
ejpam-3440	198	47	,	,	PUNCT
ejpam-3440	198	48	c1	c1	NOUN
ejpam-3440	198	49	}	}	PUNCT
ejpam-3440	198	50	,	,	PUNCT
ejpam-3440	198	51	µe3g2b	µe3g2b	PROPN
ejpam-3440	198	52	=	=	SYM
ejpam-3440	198	53	{	{	PUNCT
ejpam-3440	198	54	a0.8	a0.8	PROPN
ejpam-3440	198	55	,	,	PUNCT
ejpam-3440	198	56	b0	b0	NOUN
ejpam-3440	198	57	,	,	PUNCT
ejpam-3440	198	58	c0.6	c0.6	PROPN
ejpam-3440	198	59	}	}	PUNCT
ejpam-3440	198	60	,	,	PUNCT
ejpam-3440	198	61	µe1g3e	µe1g3e	PROPN
ejpam-3440	198	62	=	=	PUNCT
ejpam-3440	198	63	{	{	PUNCT
ejpam-3440	198	64	a0.3	a0.3	PROPN
ejpam-3440	198	65	,	,	PUNCT
ejpam-3440	198	66	b0.5	b0.5	NOUN
ejpam-3440	198	67	,	,	PUNCT
ejpam-3440	198	68	c0	c0	NOUN
ejpam-3440	198	69	}	}	PUNCT
ejpam-3440	198	70	,	,	PUNCT
ejpam-3440	198	71	µe2g3e	µe2g3e	PROPN
ejpam-3440	198	72	=	=	SYM
ejpam-3440	198	73	{	{	PUNCT
ejpam-3440	198	74	a0.5	a0.5	VERB
ejpam-3440	198	75	,	,	PUNCT
ejpam-3440	198	76	b0.7	b0.7	NUM
ejpam-3440	198	77	,	,	PUNCT
ejpam-3440	198	78	c1	c1	PROPN
ejpam-3440	198	79	}	}	PUNCT
ejpam-3440	198	80	,	,	PUNCT
ejpam-3440	198	81	µe2g3e	µe2g3e	PROPN
ejpam-3440	198	82	=	=	SYM
ejpam-3440	198	83	{	{	PUNCT
ejpam-3440	198	84	a0.8	a0.8	PROPN
ejpam-3440	198	85	,	,	PUNCT
ejpam-3440	198	86	b0.2	b0.2	PROPN
ejpam-3440	198	87	,	,	PUNCT
ejpam-3440	198	88	c0.95	c0.95	PROPN
ejpam-3440	198	89	}	}	PUNCT
ejpam-3440	198	90	.	.	PUNCT
ejpam-3440	199	1	then	then	ADV
ejpam-3440	199	2	t1	t1	NOUN
ejpam-3440	199	3	and	and	CCONJ
ejpam-3440	199	4	t2	t2	NOUN
ejpam-3440	199	5	defines	define	VERB
ejpam-3440	199	6	fssts	fsst	NOUN
ejpam-3440	199	7	on	on	ADP
ejpam-3440	199	8	x.	x.	NOUN
ejpam-3440	199	9	but	but	CCONJ
ejpam-3440	199	10	,	,	PUNCT
ejpam-3440	199	11	t1	t1	PROPN
ejpam-3440	199	12	∨	∨	NUM
ejpam-3440	199	13	t2	t2	PROPN
ejpam-3440	199	14	=	=	SYM
ejpam-3440	199	15	{	{	PUNCT
ejpam-3440	199	16	1̃e	1̃e	NUM
ejpam-3440	199	17	,	,	PUNCT
ejpam-3440	199	18	0̃e	0̃e	PROPN
ejpam-3440	199	19	,	,	PUNCT
ejpam-3440	199	20	f1a	f1a	PROPN
ejpam-3440	199	21	,	,	PUNCT
ejpam-3440	199	22	f2b	f2b	PROPN
ejpam-3440	199	23	,	,	PUNCT
ejpam-3440	199	24	f3e	f3e	INTJ
ejpam-3440	199	25	,	,	PUNCT
ejpam-3440	199	26	g1e	g1e	PROPN
ejpam-3440	199	27	,	,	PUNCT
ejpam-3440	199	28	g2b	g2b	NOUN
ejpam-3440	199	29	,	,	PUNCT
ejpam-3440	199	30	g3e	g3e	PROPN
ejpam-3440	199	31	}	}	PUNCT
ejpam-3440	199	32	is	be	AUX
ejpam-3440	199	33	not	not	PART
ejpam-3440	199	34	fssts	fsst	NOUN
ejpam-3440	199	35	on	on	ADP
ejpam-3440	199	36	x	x	NOUN
ejpam-3440	199	37	,	,	PUNCT
ejpam-3440	199	38	where	where	SCONJ
ejpam-3440	199	39	f1a	f1a	PROPN
ejpam-3440	199	40	t	t	PROPN
ejpam-3440	199	41	g1e	g1e	PROPN
ejpam-3440	199	42	6∈	6∈	PROPN
ejpam-3440	199	43	t1	t1	PROPN
ejpam-3440	199	44	∨	∨	NUM
ejpam-3440	199	45	t2	t2	PROPN
ejpam-3440	199	46	.	.	PUNCT
ejpam-3440	200	1	a.	a.	PROPN
ejpam-3440	200	2	m.	m.	PROPN
ejpam-3440	200	3	abd	abd	PROPN
ejpam-3440	200	4	el	el	PROPN
ejpam-3440	200	5	-	-	PROPN
ejpam-3440	200	6	latif	latif	PROPN
ejpam-3440	200	7	/	/	SYM
ejpam-3440	200	8	eur	eur	PROPN
ejpam-3440	200	9	.	.	PUNCT
ejpam-3440	201	1	j.	j.	PROPN
ejpam-3440	201	2	pure	pure	PROPN
ejpam-3440	201	3	appl	appl	PROPN
ejpam-3440	201	4	.	.	PROPN
ejpam-3440	201	5	math	math	PROPN
ejpam-3440	201	6	,	,	PUNCT
ejpam-3440	201	7	12	12	NUM
ejpam-3440	201	8	(	(	PUNCT
ejpam-3440	201	9	3	3	NUM
ejpam-3440	201	10	)	)	PUNCT
ejpam-3440	201	11	(	(	PUNCT
ejpam-3440	201	12	2019	2019	NUM
ejpam-3440	201	13	)	)	PUNCT
ejpam-3440	201	14	,	,	PUNCT
ejpam-3440	201	15	999	999	NUM
ejpam-3440	201	16	-	-	SYM
ejpam-3440	201	17	1017	1017	NUM
ejpam-3440	201	18	1006	1006	NUM
ejpam-3440	201	19	definition	definition	NOUN
ejpam-3440	201	20	21	21	NUM
ejpam-3440	201	21	.	.	PUNCT
ejpam-3440	202	1	a	a	DET
ejpam-3440	202	2	fuzzy	fuzzy	ADJ
ejpam-3440	202	3	soft	soft	ADJ
ejpam-3440	202	4	set	set	NOUN
ejpam-3440	202	5	gb	gb	NOUN
ejpam-3440	202	6	in	in	ADP
ejpam-3440	202	7	a	a	DET
ejpam-3440	202	8	fssts	fsst	NOUN
ejpam-3440	202	9	(	(	PUNCT
ejpam-3440	202	10	x	x	X
ejpam-3440	202	11	,	,	PUNCT
ejpam-3440	202	12	t	t	PROPN
ejpam-3440	202	13	,	,	PUNCT
ejpam-3440	202	14	e	e	NOUN
ejpam-3440	202	15	)	)	PUNCT
ejpam-3440	202	16	is	be	AUX
ejpam-3440	202	17	called	call	VERB
ejpam-3440	202	18	fuzzy	fuzzy	ADJ
ejpam-3440	202	19	supra	supra	PROPN
ejpam-3440	202	20	soft	soft	ADJ
ejpam-3440	202	21	neighborhood	neighborhood	NOUN
ejpam-3440	202	22	(	(	PUNCT
ejpam-3440	202	23	briefly	briefly	ADV
ejpam-3440	202	24	:	:	PUNCT
ejpam-3440	202	25	fss	fss	PROPN
ejpam-3440	202	26	neighborhood	neighborhood	NOUN
ejpam-3440	202	27	)	)	PUNCT
ejpam-3440	202	28	of	of	ADP
ejpam-3440	202	29	the	the	DET
ejpam-3440	202	30	fuzzy	fuzzy	ADJ
ejpam-3440	202	31	soft	soft	ADJ
ejpam-3440	202	32	point	point	NOUN
ejpam-3440	202	33	fea∈̃xe	fea∈̃xe	NOUN
ejpam-3440	202	34	if	if	SCONJ
ejpam-3440	202	35	there	there	PRON
ejpam-3440	202	36	exists	exist	VERB
ejpam-3440	202	37	a	a	DET
ejpam-3440	202	38	fuzzy	fuzzy	ADJ
ejpam-3440	202	39	supra	supra	NOUN
ejpam-3440	202	40	open	open	ADJ
ejpam-3440	202	41	soft	soft	ADJ
ejpam-3440	202	42	set	set	NOUN
ejpam-3440	202	43	hc	hc	ADP
ejpam-3440	203	1	such	such	ADJ
ejpam-3440	203	2	that	that	SCONJ
ejpam-3440	203	3	fea∈̃hc	fea∈̃hc	NOUN
ejpam-3440	203	4	v	v	PROPN
ejpam-3440	203	5	gb	gb	NOUN
ejpam-3440	203	6	.	.	PUNCT
ejpam-3440	204	1	the	the	DET
ejpam-3440	204	2	fuzzy	fuzzy	ADJ
ejpam-3440	204	3	supra	supra	PROPN
ejpam-3440	204	4	soft	soft	ADJ
ejpam-3440	204	5	neighborhood	neighborhood	NOUN
ejpam-3440	204	6	system	system	NOUN
ejpam-3440	204	7	of	of	ADP
ejpam-3440	204	8	a	a	DET
ejpam-3440	204	9	fuzzy	fuzzy	ADJ
ejpam-3440	204	10	soft	soft	ADJ
ejpam-3440	204	11	point	point	NOUN
ejpam-3440	204	12	fea	fea	PROPN
ejpam-3440	204	13	,	,	PUNCT
ejpam-3440	204	14	denoted	denote	VERB
ejpam-3440	204	15	by	by	ADP
ejpam-3440	204	16	nt(fea	nt(fea	NOUN
ejpam-3440	204	17	)	)	PUNCT
ejpam-3440	204	18	,	,	PUNCT
ejpam-3440	204	19	is	be	AUX
ejpam-3440	204	20	the	the	DET
ejpam-3440	204	21	family	family	NOUN
ejpam-3440	204	22	of	of	ADP
ejpam-3440	204	23	all	all	DET
ejpam-3440	204	24	its	its	PRON
ejpam-3440	204	25	fuzzy	fuzzy	ADJ
ejpam-3440	204	26	supra	supra	ADJ
ejpam-3440	204	27	soft	soft	ADJ
ejpam-3440	204	28	neighborhoods	neighborhood	NOUN
ejpam-3440	204	29	.	.	PUNCT
ejpam-3440	204	30	example	example	NOUN
ejpam-3440	205	1	5	5	NUM
ejpam-3440	205	2	.	.	X
ejpam-3440	205	3	consider	consider	VERB
ejpam-3440	205	4	the	the	DET
ejpam-3440	205	5	fuzzy	fuzzy	ADJ
ejpam-3440	205	6	supra	supra	PROPN
ejpam-3440	205	7	soft	soft	ADJ
ejpam-3440	205	8	topological	topological	ADJ
ejpam-3440	205	9	space	space	NOUN
ejpam-3440	205	10	(	(	PUNCT
ejpam-3440	205	11	x	x	X
ejpam-3440	205	12	,	,	PUNCT
ejpam-3440	205	13	t	t	PROPN
ejpam-3440	205	14	,	,	PUNCT
ejpam-3440	205	15	e	e	NOUN
ejpam-3440	205	16	)	)	PUNCT
ejpam-3440	205	17	in	in	ADP
ejpam-3440	205	18	example	example	NOUN
ejpam-3440	205	19	1	1	X
ejpam-3440	205	20	.	.	PUNCT
ejpam-3440	206	1	the	the	DET
ejpam-3440	206	2	fuzzy	fuzzy	ADJ
ejpam-3440	206	3	soft	soft	ADJ
ejpam-3440	206	4	set	set	ADJ
ejpam-3440	206	5	ga	ga	PROPN
ejpam-3440	206	6	,	,	PUNCT
ejpam-3440	206	7	where	where	SCONJ
ejpam-3440	206	8	µe1ga	µe1ga	NOUN
ejpam-3440	206	9	=	=	SYM
ejpam-3440	206	10	{	{	PUNCT
ejpam-3440	206	11	a0.7	a0.7	PROPN
ejpam-3440	206	12	,	,	PUNCT
ejpam-3440	206	13	b0.8	b0.8	PROPN
ejpam-3440	206	14	,	,	PUNCT
ejpam-3440	206	15	c0.4	c0.4	NOUN
ejpam-3440	206	16	}	}	PUNCT
ejpam-3440	206	17	,	,	PUNCT
ejpam-3440	206	18	µe2ga	µe2ga	NUM
ejpam-3440	206	19	=	=	SYM
ejpam-3440	206	20	{	{	PUNCT
ejpam-3440	206	21	a0.6	a0.6	NOUN
ejpam-3440	206	22	,	,	PUNCT
ejpam-3440	206	23	b1	b1	NOUN
ejpam-3440	206	24	,	,	PUNCT
ejpam-3440	206	25	c0.8	c0.8	NOUN
ejpam-3440	206	26	}	}	PUNCT
ejpam-3440	206	27	is	be	AUX
ejpam-3440	206	28	a	a	DET
ejpam-3440	206	29	fss	fss	ADJ
ejpam-3440	206	30	-	-	PUNCT
ejpam-3440	206	31	neighborhood	neighborhood	NOUN
ejpam-3440	206	32	of	of	ADP
ejpam-3440	206	33	the	the	DET
ejpam-3440	206	34	fuzzy	fuzzy	ADJ
ejpam-3440	206	35	soft	soft	ADJ
ejpam-3440	206	36	point	point	NOUN
ejpam-3440	206	37	ke1a	ke1a	NOUN
ejpam-3440	206	38	=	=	SYM
ejpam-3440	206	39	{	{	PUNCT
ejpam-3440	206	40	a0.5	a0.5	VERB
ejpam-3440	206	41	,	,	PUNCT
ejpam-3440	206	42	b0.4	b0.4	NOUN
ejpam-3440	206	43	,	,	PUNCT
ejpam-3440	206	44	c0.1	c0.1	PROPN
ejpam-3440	206	45	}	}	PUNCT
ejpam-3440	206	46	.	.	PUNCT
ejpam-3440	207	1	theorem	theorem	NOUN
ejpam-3440	207	2	2	2	NUM
ejpam-3440	207	3	.	.	PUNCT
ejpam-3440	207	4	a	a	DET
ejpam-3440	207	5	fuzzy	fuzzy	ADJ
ejpam-3440	207	6	soft	soft	ADJ
ejpam-3440	207	7	set	set	NOUN
ejpam-3440	207	8	in	in	ADP
ejpam-3440	207	9	a	a	DET
ejpam-3440	207	10	fssts	fsst	NOUN
ejpam-3440	207	11	is	be	AUX
ejpam-3440	207	12	fuzzy	fuzzy	ADJ
ejpam-3440	207	13	supra	supra	ADJ
ejpam-3440	207	14	soft	soft	ADJ
ejpam-3440	207	15	open	open	ADJ
ejpam-3440	207	16	if	if	SCONJ
ejpam-3440	207	17	and	and	CCONJ
ejpam-3440	207	18	only	only	ADV
ejpam-3440	207	19	if	if	SCONJ
ejpam-3440	207	20	it	it	PRON
ejpam-3440	207	21	is	be	AUX
ejpam-3440	207	22	a	a	DET
ejpam-3440	207	23	fss	fss	ADJ
ejpam-3440	207	24	-	-	PUNCT
ejpam-3440	207	25	neighborhood	neighborhood	NOUN
ejpam-3440	207	26	of	of	ADP
ejpam-3440	207	27	each	each	PRON
ejpam-3440	207	28	of	of	ADP
ejpam-3440	207	29	its	its	PRON
ejpam-3440	207	30	fuzzy	fuzzy	ADJ
ejpam-3440	207	31	soft	soft	ADJ
ejpam-3440	207	32	points	point	NOUN
ejpam-3440	207	33	.	.	PUNCT
ejpam-3440	208	1	proof	proof	NOUN
ejpam-3440	208	2	.	.	PUNCT
ejpam-3440	209	1	obvious	obvious	ADJ
ejpam-3440	209	2	.	.	PUNCT
ejpam-3440	210	1	theorem	theorem	NOUN
ejpam-3440	210	2	3	3	NUM
ejpam-3440	210	3	.	.	PUNCT
ejpam-3440	211	1	the	the	DET
ejpam-3440	211	2	fuzzy	fuzzy	ADJ
ejpam-3440	211	3	supra	supra	PROPN
ejpam-3440	211	4	soft	soft	ADJ
ejpam-3440	211	5	neighborhood	neighborhood	NOUN
ejpam-3440	211	6	system	system	NOUN
ejpam-3440	211	7	nt(fea	nt(fea	NOUN
ejpam-3440	211	8	)	)	PUNCT
ejpam-3440	211	9	in	in	ADP
ejpam-3440	211	10	a	a	DET
ejpam-3440	211	11	fssts	fsst	NOUN
ejpam-3440	211	12	(	(	PUNCT
ejpam-3440	211	13	x	x	X
ejpam-3440	211	14	,	,	PUNCT
ejpam-3440	211	15	t	t	PROPN
ejpam-3440	211	16	,	,	PUNCT
ejpam-3440	211	17	e	e	NOUN
ejpam-3440	211	18	)	)	PUNCT
ejpam-3440	211	19	has	have	VERB
ejpam-3440	211	20	the	the	DET
ejpam-3440	211	21	the	the	DET
ejpam-3440	211	22	following	follow	VERB
ejpam-3440	211	23	properties	property	NOUN
ejpam-3440	211	24	:	:	PUNCT
ejpam-3440	211	25	(	(	PUNCT
ejpam-3440	211	26	1	1	X
ejpam-3440	211	27	)	)	PUNCT
ejpam-3440	211	28	for	for	ADP
ejpam-3440	211	29	all	all	DET
ejpam-3440	211	30	fuzzy	fuzzy	ADJ
ejpam-3440	211	31	soft	soft	ADJ
ejpam-3440	211	32	points	point	NOUN
ejpam-3440	211	33	fea	fea	PROPN
ejpam-3440	211	34	,	,	PUNCT
ejpam-3440	211	35	nt(fea	nt(fea	PRON
ejpam-3440	211	36	)	)	PUNCT
ejpam-3440	211	37	6=	6=	X
ejpam-3440	212	1	0̃e	0̃e	PROPN
ejpam-3440	212	2	,	,	PUNCT
ejpam-3440	212	3	(	(	PUNCT
ejpam-3440	212	4	2	2	X
ejpam-3440	212	5	)	)	PUNCT
ejpam-3440	212	6	if	if	SCONJ
ejpam-3440	212	7	kb	kb	PROPN
ejpam-3440	212	8	∈	∈	PROPN
ejpam-3440	212	9	nt(fea	nt(fea	PART
ejpam-3440	212	10	)	)	PUNCT
ejpam-3440	212	11	,	,	PUNCT
ejpam-3440	212	12	then	then	ADV
ejpam-3440	212	13	fea∈̃kb	fea∈̃kb	NOUN
ejpam-3440	212	14	,	,	PUNCT
ejpam-3440	212	15	(	(	PUNCT
ejpam-3440	212	16	3	3	X
ejpam-3440	212	17	)	)	PUNCT
ejpam-3440	212	18	if	if	SCONJ
ejpam-3440	212	19	kd	kd	PROPN
ejpam-3440	212	20	v	v	X
ejpam-3440	212	21	gb	gb	NOUN
ejpam-3440	213	1	and	and	CCONJ
ejpam-3440	213	2	kd	kd	PROPN
ejpam-3440	213	3	∈	∈	PROPN
ejpam-3440	213	4	nt(fea	nt(fea	NOUN
ejpam-3440	213	5	)	)	PUNCT
ejpam-3440	213	6	,	,	PUNCT
ejpam-3440	213	7	then	then	ADV
ejpam-3440	213	8	kd	kd	PROPN
ejpam-3440	213	9	∈	∈	PROPN
ejpam-3440	213	10	nt(fea	nt(fea	PART
ejpam-3440	213	11	)	)	PUNCT
ejpam-3440	213	12	,	,	PUNCT
ejpam-3440	213	13	(	(	PUNCT
ejpam-3440	213	14	4	4	X
ejpam-3440	213	15	)	)	PUNCT
ejpam-3440	213	16	if	if	SCONJ
ejpam-3440	213	17	e	e	PROPN
ejpam-3440	213	18	∈	∈	PROPN
ejpam-3440	213	19	e	e	NOUN
ejpam-3440	213	20	is	be	AUX
ejpam-3440	213	21	the	the	DET
ejpam-3440	213	22	support	support	NOUN
ejpam-3440	213	23	of	of	ADP
ejpam-3440	213	24	the	the	DET
ejpam-3440	213	25	fuzzy	fuzzy	ADJ
ejpam-3440	213	26	supra	supra	PROPN
ejpam-3440	213	27	soft	soft	ADJ
ejpam-3440	213	28	set	set	NOUN
ejpam-3440	213	29	fa	fa	NOUN
ejpam-3440	213	30	,	,	PUNCT
ejpam-3440	213	31	then	then	ADV
ejpam-3440	213	32	nt(fea	nt(fea	NUM
ejpam-3440	213	33	)	)	PUNCT
ejpam-3440	214	1	=	=	SYM
ejpam-3440	214	2	∩{nt(fe	∩{nt(fe	PROPN
ejpam-3440	215	1	′	′	NUM
ejpam-3440	215	2	a	a	PRON
ejpam-3440	215	3	)	)	PUNCT
ejpam-3440	215	4	:	:	PUNCT
ejpam-3440	215	5	0	0	NUM
ejpam-3440	215	6	<	<	X
ejpam-3440	215	7	fa(e′	fa(e′	PROPN
ejpam-3440	215	8	)	)	PUNCT
ejpam-3440	215	9	<	<	X
ejpam-3440	215	10	fa(e	fa(e	X
ejpam-3440	215	11	)	)	PUNCT
ejpam-3440	215	12	}	}	PUNCT
ejpam-3440	215	13	.	.	PUNCT
ejpam-3440	216	1	(	(	PUNCT
ejpam-3440	216	2	5	5	X
ejpam-3440	216	3	)	)	PUNCT
ejpam-3440	216	4	if	if	SCONJ
ejpam-3440	216	5	kb	kb	PROPN
ejpam-3440	216	6	∈	∈	PROPN
ejpam-3440	216	7	nt(fea	nt(fea	PART
ejpam-3440	216	8	)	)	PUNCT
ejpam-3440	216	9	,	,	PUNCT
ejpam-3440	216	10	then	then	ADV
ejpam-3440	216	11	there	there	PRON
ejpam-3440	216	12	exists	exist	VERB
ejpam-3440	216	13	hc	hc	PROPN
ejpam-3440	216	14	∈	∈	PROPN
ejpam-3440	216	15	nt(fea	nt(fea	NOUN
ejpam-3440	216	16	)	)	PUNCT
ejpam-3440	216	17	such	such	ADJ
ejpam-3440	216	18	that	that	SCONJ
ejpam-3440	216	19	hc	hc	PROPN
ejpam-3440	216	20	v	v	PRON
ejpam-3440	216	21	kb	kb	PROPN
ejpam-3440	216	22	and	and	CCONJ
ejpam-3440	216	23	hc	hc	PROPN
ejpam-3440	216	24	∈	∈	PROPN
ejpam-3440	216	25	nt(hec	nt(hec	PROPN
ejpam-3440	216	26	)	)	PUNCT
ejpam-3440	216	27	.	.	PUNCT
ejpam-3440	217	1	proof	proof	NOUN
ejpam-3440	217	2	.	.	PUNCT
ejpam-3440	218	1	(	(	PUNCT
ejpam-3440	218	2	1	1	X
ejpam-3440	218	3	)	)	PUNCT
ejpam-3440	218	4	since	since	SCONJ
ejpam-3440	218	5	1̃e	1̃e	NUM
ejpam-3440	218	6	is	be	AUX
ejpam-3440	218	7	a	a	DET
ejpam-3440	218	8	fss	fss	ADJ
ejpam-3440	218	9	-	-	PUNCT
ejpam-3440	218	10	neighborhood	neighborhood	NOUN
ejpam-3440	218	11	of	of	ADP
ejpam-3440	218	12	each	each	PRON
ejpam-3440	218	13	of	of	ADP
ejpam-3440	218	14	its	its	PRON
ejpam-3440	218	15	fuzzy	fuzzy	ADJ
ejpam-3440	218	16	soft	soft	ADJ
ejpam-3440	218	17	points	point	NOUN
ejpam-3440	218	18	fea	fea	NOUN
ejpam-3440	218	19	from	from	ADP
ejpam-3440	218	20	theorem	theorem	ADJ
ejpam-3440	218	21	2	2	NUM
ejpam-3440	218	22	,	,	PUNCT
ejpam-3440	218	23	1̃e	1̃e	NUM
ejpam-3440	218	24	∈	∈	NOUN
ejpam-3440	218	25	nt(fea	nt(fea	NOUN
ejpam-3440	218	26	)	)	PUNCT
ejpam-3440	218	27	.	.	PUNCT
ejpam-3440	219	1	then	then	ADV
ejpam-3440	219	2	,	,	PUNCT
ejpam-3440	219	3	nt(fea	nt(fea	PRON
ejpam-3440	219	4	)	)	PUNCT
ejpam-3440	219	5	6=	6=	PUNCT
ejpam-3440	219	6	0̃e	0̃e	INTJ
ejpam-3440	219	7	(	(	PUNCT
ejpam-3440	219	8	2	2	NUM
ejpam-3440	219	9	)	)	PUNCT
ejpam-3440	219	10	let	let	VERB
ejpam-3440	219	11	kb	kb	PROPN
ejpam-3440	219	12	∈	∈	PROPN
ejpam-3440	219	13	nt(fea	nt(fea	PART
ejpam-3440	219	14	)	)	PUNCT
ejpam-3440	219	15	.	.	PUNCT
ejpam-3440	220	1	then	then	ADV
ejpam-3440	220	2	,	,	PUNCT
ejpam-3440	220	3	there	there	PRON
ejpam-3440	220	4	exists	exist	VERB
ejpam-3440	220	5	a	a	DET
ejpam-3440	220	6	fuzzy	fuzzy	ADJ
ejpam-3440	220	7	supra	supra	NOUN
ejpam-3440	220	8	open	open	ADJ
ejpam-3440	220	9	soft	soft	ADJ
ejpam-3440	220	10	set	set	NOUN
ejpam-3440	220	11	hc	hc	ADP
ejpam-3440	220	12	such	such	ADJ
ejpam-3440	220	13	that	that	SCONJ
ejpam-3440	220	14	fea∈̃hc	fea∈̃hc	PROPN
ejpam-3440	220	15	v	v	PROPN
ejpam-3440	220	16	kb	kb	PROPN
ejpam-3440	220	17	.	.	PUNCT
ejpam-3440	221	1	hence	hence	ADV
ejpam-3440	221	2	,	,	PUNCT
ejpam-3440	221	3	fea∈̃kb	fea∈̃kb	NOUN
ejpam-3440	221	4	.	.	PUNCT
ejpam-3440	222	1	(	(	PUNCT
ejpam-3440	222	2	3	3	X
ejpam-3440	222	3	)	)	PUNCT
ejpam-3440	222	4	let	let	VERB
ejpam-3440	222	5	kd	kd	PROPN
ejpam-3440	222	6	∈	∈	PROPN
ejpam-3440	222	7	nt(fea	nt(fea	PART
ejpam-3440	222	8	)	)	PUNCT
ejpam-3440	222	9	.	.	PUNCT
ejpam-3440	223	1	then	then	ADV
ejpam-3440	223	2	,	,	PUNCT
ejpam-3440	223	3	there	there	PRON
ejpam-3440	223	4	exists	exist	VERB
ejpam-3440	223	5	a	a	DET
ejpam-3440	223	6	fuzzy	fuzzy	ADJ
ejpam-3440	223	7	supra	supra	NOUN
ejpam-3440	223	8	open	open	ADJ
ejpam-3440	223	9	soft	soft	ADJ
ejpam-3440	223	10	set	set	NOUN
ejpam-3440	223	11	hc	hc	ADP
ejpam-3440	223	12	such	such	ADJ
ejpam-3440	223	13	that	that	SCONJ
ejpam-3440	223	14	fea∈̃hc	fea∈̃hc	PROPN
ejpam-3440	223	15	v	v	ADP
ejpam-3440	223	16	kd	kd	PROPN
ejpam-3440	223	17	.	.	PUNCT
ejpam-3440	224	1	since	since	SCONJ
ejpam-3440	224	2	kd	kd	PROPN
ejpam-3440	224	3	v	v	PRON
ejpam-3440	224	4	gb	gb	NOUN
ejpam-3440	224	5	,	,	PUNCT
ejpam-3440	224	6	fea∈̃hc	fea∈̃hc	NOUN
ejpam-3440	224	7	v	v	X
ejpam-3440	224	8	kd	kd	PROPN
ejpam-3440	224	9	v	v	NOUN
ejpam-3440	224	10	gb	gb	PROPN
ejpam-3440	224	11	.	.	PUNCT
ejpam-3440	225	1	therefore	therefore	ADV
ejpam-3440	225	2	,	,	PUNCT
ejpam-3440	225	3	kd	kd	PROPN
ejpam-3440	225	4	∈	∈	PROPN
ejpam-3440	225	5	nt(fea	nt(fea	NOUN
ejpam-3440	225	6	)	)	PUNCT
ejpam-3440	225	7	.	.	PUNCT
ejpam-3440	226	1	(	(	PUNCT
ejpam-3440	226	2	4	4	X
ejpam-3440	226	3	)	)	PUNCT
ejpam-3440	226	4	obvious	obvious	ADJ
ejpam-3440	226	5	.	.	PUNCT
ejpam-3440	227	1	(	(	PUNCT
ejpam-3440	227	2	5	5	X
ejpam-3440	227	3	)	)	PUNCT
ejpam-3440	227	4	let	let	VERB
ejpam-3440	227	5	kb	kb	PROPN
ejpam-3440	227	6	∈	∈	PROPN
ejpam-3440	227	7	nt(fea	nt(fea	PART
ejpam-3440	227	8	)	)	PUNCT
ejpam-3440	227	9	.	.	PUNCT
ejpam-3440	228	1	then	then	ADV
ejpam-3440	228	2	,	,	PUNCT
ejpam-3440	228	3	there	there	PRON
ejpam-3440	228	4	exists	exist	VERB
ejpam-3440	228	5	a	a	DET
ejpam-3440	228	6	fuzzy	fuzzy	ADJ
ejpam-3440	228	7	supra	supra	NOUN
ejpam-3440	228	8	open	open	ADJ
ejpam-3440	228	9	soft	soft	ADJ
ejpam-3440	228	10	set	set	NOUN
ejpam-3440	228	11	sf	sf	ADP
ejpam-3440	228	12	such	such	ADJ
ejpam-3440	228	13	that	that	DET
ejpam-3440	228	14	fea∈̃sf	fea∈̃sf	NOUN
ejpam-3440	228	15	v	v	PROPN
ejpam-3440	228	16	kb	kb	PROPN
ejpam-3440	228	17	.	.	PUNCT
ejpam-3440	229	1	but	but	CCONJ
ejpam-3440	229	2	,	,	PUNCT
ejpam-3440	229	3	sf	sf	PROPN
ejpam-3440	229	4	is	be	AUX
ejpam-3440	229	5	a	a	DET
ejpam-3440	229	6	fss	fss	ADJ
ejpam-3440	229	7	-	-	PUNCT
ejpam-3440	229	8	neighborhood	neighborhood	NOUN
ejpam-3440	229	9	of	of	ADP
ejpam-3440	229	10	each	each	PRON
ejpam-3440	229	11	of	of	ADP
ejpam-3440	229	12	its	its	PRON
ejpam-3440	229	13	fuzzy	fuzzy	ADJ
ejpam-3440	229	14	soft	soft	ADJ
ejpam-3440	229	15	points	point	NOUN
ejpam-3440	229	16	from	from	ADP
ejpam-3440	229	17	theorem	theorem	ADJ
ejpam-3440	229	18	2	2	NUM
ejpam-3440	229	19	.	.	PUNCT
ejpam-3440	230	1	hence	hence	ADV
ejpam-3440	230	2	,	,	PUNCT
ejpam-3440	230	3	sf	sf	PROPN
ejpam-3440	230	4	∈	∈	PROPN
ejpam-3440	230	5	nt(sef	nt(sef	PROPN
ejpam-3440	230	6	)	)	PUNCT
ejpam-3440	230	7	.	.	PUNCT
ejpam-3440	231	1	a.	a.	PROPN
ejpam-3440	231	2	m.	m.	PROPN
ejpam-3440	231	3	abd	abd	PROPN
ejpam-3440	231	4	el	el	PROPN
ejpam-3440	231	5	-	-	PROPN
ejpam-3440	231	6	latif	latif	PROPN
ejpam-3440	231	7	/	/	SYM
ejpam-3440	231	8	eur	eur	PROPN
ejpam-3440	231	9	.	.	PUNCT
ejpam-3440	232	1	j.	j.	PROPN
ejpam-3440	232	2	pure	pure	PROPN
ejpam-3440	232	3	appl	appl	PROPN
ejpam-3440	232	4	.	.	PROPN
ejpam-3440	232	5	math	math	PROPN
ejpam-3440	232	6	,	,	PUNCT
ejpam-3440	232	7	12	12	NUM
ejpam-3440	232	8	(	(	PUNCT
ejpam-3440	232	9	3	3	NUM
ejpam-3440	232	10	)	)	PUNCT
ejpam-3440	232	11	(	(	PUNCT
ejpam-3440	232	12	2019	2019	NUM
ejpam-3440	232	13	)	)	PUNCT
ejpam-3440	232	14	,	,	PUNCT
ejpam-3440	232	15	999	999	NUM
ejpam-3440	232	16	-	-	SYM
ejpam-3440	232	17	1017	1017	NUM
ejpam-3440	232	18	1007	1007	NUM
ejpam-3440	232	19	theorem	theorem	NOUN
ejpam-3440	232	20	4	4	NUM
ejpam-3440	232	21	.	.	PUNCT
ejpam-3440	233	1	let	let	VERB
ejpam-3440	233	2	the	the	DET
ejpam-3440	233	3	collection	collection	NOUN
ejpam-3440	233	4	n(geb	n(geb	NOUN
ejpam-3440	233	5	be	be	AUX
ejpam-3440	233	6	a	a	DET
ejpam-3440	233	7	fuzzy	fuzzy	ADJ
ejpam-3440	233	8	supra	supra	ADJ
ejpam-3440	233	9	soft	soft	ADJ
ejpam-3440	233	10	neighborhood	neighborhood	NOUN
ejpam-3440	233	11	system	system	NOUN
ejpam-3440	233	12	of	of	ADP
ejpam-3440	233	13	the	the	DET
ejpam-3440	233	14	fuzzy	fuzzy	ADJ
ejpam-3440	233	15	soft	soft	ADJ
ejpam-3440	233	16	point	point	NOUN
ejpam-3440	233	17	geb	geb	NOUN
ejpam-3440	233	18	with	with	ADP
ejpam-3440	233	19	the	the	DET
ejpam-3440	233	20	properties	property	NOUN
ejpam-3440	233	21	(	(	PUNCT
ejpam-3440	233	22	1)-(5	1)-(5	NUM
ejpam-3440	233	23	)	)	PUNCT
ejpam-3440	233	24	in	in	ADP
ejpam-3440	233	25	theorem	theorem	NOUN
ejpam-3440	233	26	3	3	X
ejpam-3440	233	27	.	.	PUNCT
ejpam-3440	234	1	then	then	ADV
ejpam-3440	234	2	,	,	PUNCT
ejpam-3440	234	3	there	there	PRON
ejpam-3440	234	4	exists	exist	VERB
ejpam-3440	234	5	a	a	DET
ejpam-3440	234	6	unique	unique	ADJ
ejpam-3440	234	7	fssts	fsst	NOUN
ejpam-3440	234	8	t	t	NOUN
ejpam-3440	234	9	on	on	ADP
ejpam-3440	234	10	x	x	PUNCT
ejpam-3440	234	11	for	for	ADP
ejpam-3440	234	12	which	which	PRON
ejpam-3440	234	13	n(geb	n(geb	NOUN
ejpam-3440	234	14	)	)	PUNCT
ejpam-3440	234	15	coincides	coincide	VERB
ejpam-3440	234	16	with	with	ADP
ejpam-3440	234	17	the	the	DET
ejpam-3440	234	18	family	family	NOUN
ejpam-3440	234	19	of	of	ADP
ejpam-3440	234	20	fss	fss	ADJ
ejpam-3440	234	21	-	-	PUNCT
ejpam-3440	234	22	neighborhood	neighborhood	NOUN
ejpam-3440	234	23	nt(geb	nt(geb	NOUN
ejpam-3440	234	24	)	)	PUNCT
ejpam-3440	234	25	of	of	ADP
ejpam-3440	234	26	geb	geb	PROPN
ejpam-3440	234	27	with	with	ADP
ejpam-3440	234	28	respect	respect	NOUN
ejpam-3440	234	29	to	to	ADP
ejpam-3440	234	30	t.	t.	NOUN
ejpam-3440	234	31	proof	proof	NOUN
ejpam-3440	234	32	.	.	PUNCT
ejpam-3440	235	1	consider	consider	VERB
ejpam-3440	235	2	the	the	DET
ejpam-3440	235	3	collection	collection	NOUN
ejpam-3440	235	4	t	t	NOUN
ejpam-3440	235	5	=	=	SYM
ejpam-3440	235	6	{	{	PUNCT
ejpam-3440	235	7	fa	fa	X
ejpam-3440	235	8	:	:	PUNCT
ejpam-3440	235	9	fa	fa	PROPN
ejpam-3440	235	10	∈	∈	PROPN
ejpam-3440	235	11	n(geb	n(geb	NOUN
ejpam-3440	235	12	)	)	PUNCT
ejpam-3440	235	13	and	and	CCONJ
ejpam-3440	235	14	geb∈̃fa	geb∈̃fa	NOUN
ejpam-3440	235	15	}	}	PUNCT
ejpam-3440	235	16	.	.	PUNCT
ejpam-3440	236	1	we	we	PRON
ejpam-3440	236	2	want	want	VERB
ejpam-3440	236	3	to	to	PART
ejpam-3440	236	4	prove	prove	VERB
ejpam-3440	236	5	that	that	SCONJ
ejpam-3440	236	6	t	t	PROPN
ejpam-3440	236	7	is	be	AUX
ejpam-3440	236	8	a	a	DET
ejpam-3440	236	9	fssts	fsst	NOUN
ejpam-3440	236	10	on	on	ADP
ejpam-3440	236	11	x.	x.	PROPN
ejpam-3440	236	12	(	(	PUNCT
ejpam-3440	236	13	1	1	NUM
ejpam-3440	236	14	)	)	PUNCT
ejpam-3440	236	15	since	since	SCONJ
ejpam-3440	236	16	0̃e	0̃e	PROPN
ejpam-3440	236	17	contains	contain	VERB
ejpam-3440	236	18	no	no	DET
ejpam-3440	236	19	fuzzy	fuzzy	ADJ
ejpam-3440	236	20	soft	soft	ADJ
ejpam-3440	236	21	point	point	NOUN
ejpam-3440	236	22	,	,	PUNCT
ejpam-3440	236	23	0̃e	0̃e	PROPN
ejpam-3440	236	24	∈	∈	PROPN
ejpam-3440	236	25	t.	t.	NOUN
ejpam-3440	236	26	also	also	ADV
ejpam-3440	236	27	,	,	PUNCT
ejpam-3440	236	28	from	from	ADP
ejpam-3440	236	29	condition	condition	NOUN
ejpam-3440	236	30	(	(	PUNCT
ejpam-3440	236	31	1	1	NUM
ejpam-3440	236	32	)	)	PUNCT
ejpam-3440	236	33	,	,	PUNCT
ejpam-3440	236	34	nt(fea	nt(fea	NOUN
ejpam-3440	236	35	)	)	PUNCT
ejpam-3440	236	36	6=	6=	PUNCT
ejpam-3440	237	1	0̃e	0̃e	INTJ
ejpam-3440	237	2	,	,	PUNCT
ejpam-3440	237	3	so	so	SCONJ
ejpam-3440	237	4	there	there	PRON
ejpam-3440	237	5	exist	exist	VERB
ejpam-3440	237	6	some	some	DET
ejpam-3440	237	7	neighborhood	neighborhood	NOUN
ejpam-3440	237	8	of	of	ADP
ejpam-3440	237	9	every	every	DET
ejpam-3440	237	10	fuzzy	fuzzy	ADJ
ejpam-3440	237	11	soft	soft	ADJ
ejpam-3440	237	12	point	point	NOUN
ejpam-3440	237	13	in	in	ADP
ejpam-3440	237	14	x	x	NOUN
ejpam-3440	237	15	,	,	PUNCT
ejpam-3440	237	16	which	which	PRON
ejpam-3440	237	17	is	be	AUX
ejpam-3440	237	18	a	a	DET
ejpam-3440	237	19	superset	superset	NOUN
ejpam-3440	237	20	of	of	ADP
ejpam-3440	237	21	each	each	PRON
ejpam-3440	237	22	of	of	ADP
ejpam-3440	237	23	the	the	DET
ejpam-3440	237	24	fss	fss	ADJ
ejpam-3440	237	25	-	-	PUNCT
ejpam-3440	237	26	neighborhood	neighborhood	NOUN
ejpam-3440	237	27	s.	s.	PROPN
ejpam-3440	237	28	hence	hence	ADV
ejpam-3440	237	29	,	,	PUNCT
ejpam-3440	237	30	1̃e	1̃e	PROPN
ejpam-3440	237	31	∈	∈	PROPN
ejpam-3440	237	32	t	t	NOUN
ejpam-3440	237	33	from	from	ADP
ejpam-3440	237	34	condition	condition	NOUN
ejpam-3440	237	35	(	(	PUNCT
ejpam-3440	237	36	3	3	NUM
ejpam-3440	237	37	)	)	PUNCT
ejpam-3440	237	38	.	.	PUNCT
ejpam-3440	238	1	(	(	PUNCT
ejpam-3440	238	2	2	2	X
ejpam-3440	238	3	)	)	PUNCT
ejpam-3440	238	4	let	let	VERB
ejpam-3440	238	5	{	{	PUNCT
ejpam-3440	238	6	(	(	PUNCT
ejpam-3440	238	7	fa)j	fa)j	PROPN
ejpam-3440	238	8	:	:	PUNCT
ejpam-3440	239	1	j	j	PROPN
ejpam-3440	239	2	∈	∈	PROPN
ejpam-3440	239	3	j	j	PROPN
ejpam-3440	239	4	}	}	PUNCT
ejpam-3440	239	5	⊆	⊆	NUM
ejpam-3440	239	6	t.	t.	NOUN
ejpam-3440	239	7	then	then	ADV
ejpam-3440	239	8	,	,	PUNCT
ejpam-3440	239	9	(	(	PUNCT
ejpam-3440	239	10	fa)j	fa)j	PROPN
ejpam-3440	239	11	∈	∈	PROPN
ejpam-3440	239	12	n(geb	n(geb	NOUN
ejpam-3440	239	13	)	)	PUNCT
ejpam-3440	239	14	,	,	PUNCT
ejpam-3440	239	15	j	j	PROPN
ejpam-3440	239	16	∈	∈	PROPN
ejpam-3440	239	17	j	j	PROPN
ejpam-3440	239	18	.	.	PUNCT
ejpam-3440	240	1	by	by	ADP
ejpam-3440	240	2	condition	condition	NOUN
ejpam-3440	240	3	(	(	PUNCT
ejpam-3440	240	4	3	3	NUM
ejpam-3440	240	5	)	)	PUNCT
ejpam-3440	240	6	,	,	PUNCT
ejpam-3440	240	7	tj∈j(fa)j	tj∈j(fa)j	PROPN
ejpam-3440	240	8	∈	∈	PROPN
ejpam-3440	240	9	n(geb	n(geb	NOUN
ejpam-3440	240	10	)	)	PUNCT
ejpam-3440	240	11	.	.	PUNCT
ejpam-3440	241	1	therefore	therefore	ADV
ejpam-3440	241	2	,	,	PUNCT
ejpam-3440	241	3	t	t	PROPN
ejpam-3440	241	4	is	be	AUX
ejpam-3440	241	5	a	a	DET
ejpam-3440	241	6	fssts	fsst	NOUN
ejpam-3440	241	7	on	on	ADP
ejpam-3440	241	8	x.	x.	NOUN
ejpam-3440	241	9	now	now	ADV
ejpam-3440	241	10	,	,	PUNCT
ejpam-3440	241	11	we	we	PRON
ejpam-3440	241	12	prove	prove	VERB
ejpam-3440	241	13	that	that	SCONJ
ejpam-3440	241	14	nt(geb	nt(geb	NOUN
ejpam-3440	241	15	)	)	PUNCT
ejpam-3440	241	16	=	=	SYM
ejpam-3440	241	17	n(geb	n(geb	NOUN
ejpam-3440	241	18	)	)	PUNCT
ejpam-3440	241	19	.	.	PUNCT
ejpam-3440	242	1	let	let	VERB
ejpam-3440	242	2	ha	ha	INTJ
ejpam-3440	242	3	∈	∈	VERB
ejpam-3440	242	4	n(geb	n(geb	NOUN
ejpam-3440	242	5	)	)	PUNCT
ejpam-3440	242	6	,	,	PUNCT
ejpam-3440	242	7	then	then	ADV
ejpam-3440	242	8	there	there	PRON
ejpam-3440	242	9	exists	exist	VERB
ejpam-3440	242	10	kc	kc	PROPN
ejpam-3440	242	11	∈	∈	PROPN
ejpam-3440	242	12	nt(geb	nt(geb	PROPN
ejpam-3440	242	13	)	)	PUNCT
ejpam-3440	242	14	such	such	ADJ
ejpam-3440	242	15	that	that	SCONJ
ejpam-3440	242	16	kc	kc	PROPN
ejpam-3440	242	17	v	v	PROPN
ejpam-3440	242	18	kb	kb	PROPN
ejpam-3440	242	19	and	and	CCONJ
ejpam-3440	242	20	kc	kc	PROPN
ejpam-3440	242	21	∈	∈	PROPN
ejpam-3440	242	22	n(kec	n(kec	PROPN
ejpam-3440	242	23	)	)	PUNCT
ejpam-3440	242	24	from	from	ADP
ejpam-3440	242	25	condition	condition	NOUN
ejpam-3440	242	26	(	(	PUNCT
ejpam-3440	242	27	5	5	NUM
ejpam-3440	242	28	)	)	PUNCT
ejpam-3440	242	29	.	.	PUNCT
ejpam-3440	243	1	it	it	PRON
ejpam-3440	243	2	is	be	AUX
ejpam-3440	243	3	follows	follow	VERB
ejpam-3440	243	4	,	,	PUNCT
ejpam-3440	243	5	geb∈̃kc	geb∈̃kc	X
ejpam-3440	243	6	from	from	ADP
ejpam-3440	243	7	condition	condition	NOUN
ejpam-3440	243	8	(	(	PUNCT
ejpam-3440	243	9	2	2	NUM
ejpam-3440	243	10	)	)	PUNCT
ejpam-3440	243	11	.	.	PUNCT
ejpam-3440	244	1	hence	hence	ADV
ejpam-3440	244	2	,	,	PUNCT
ejpam-3440	244	3	kc	kc	PROPN
ejpam-3440	244	4	∈	∈	PROPN
ejpam-3440	244	5	t	t	PROPN
ejpam-3440	244	6	from	from	ADP
ejpam-3440	244	7	theorem	theorem	NOUN
ejpam-3440	244	8	2	2	NUM
ejpam-3440	244	9	.	.	PUNCT
ejpam-3440	245	1	this	this	PRON
ejpam-3440	245	2	means	mean	VERB
ejpam-3440	245	3	,	,	PUNCT
ejpam-3440	245	4	ha	ha	INTJ
ejpam-3440	245	5	is	be	AUX
ejpam-3440	245	6	t	t	PROPN
ejpam-3440	245	7	-	-	PUNCT
ejpam-3440	245	8	fss	fss	NOUN
ejpam-3440	245	9	-	-	PUNCT
ejpam-3440	245	10	neighborhood	neighborhood	NOUN
ejpam-3440	245	11	of	of	ADP
ejpam-3440	245	12	geb	geb	PROPN
ejpam-3440	245	13	.	.	PUNCT
ejpam-3440	246	1	thus	thus	ADV
ejpam-3440	246	2	,	,	PUNCT
ejpam-3440	246	3	nt(geb	nt(geb	PROPN
ejpam-3440	246	4	)	)	PUNCT
ejpam-3440	246	5	⊆	⊆	NUM
ejpam-3440	246	6	n(geb	n(geb	NOUN
ejpam-3440	246	7	)	)	PUNCT
ejpam-3440	246	8	.	.	PUNCT
ejpam-3440	247	1	(	(	PUNCT
ejpam-3440	247	2	1	1	X
ejpam-3440	247	3	)	)	PUNCT
ejpam-3440	247	4	conversely	conversely	ADV
ejpam-3440	247	5	,	,	PUNCT
ejpam-3440	247	6	let	let	VERB
ejpam-3440	247	7	ny	ny	PROPN
ejpam-3440	247	8	∈	∈	PROPN
ejpam-3440	247	9	nt(geb	nt(geb	PROPN
ejpam-3440	247	10	)	)	PUNCT
ejpam-3440	247	11	,	,	PUNCT
ejpam-3440	247	12	then	then	ADV
ejpam-3440	247	13	there	there	PRON
ejpam-3440	247	14	exists	exist	VERB
ejpam-3440	247	15	a	a	DET
ejpam-3440	247	16	fuzzy	fuzzy	ADJ
ejpam-3440	247	17	supra	supra	NOUN
ejpam-3440	247	18	open	open	ADJ
ejpam-3440	247	19	soft	soft	ADJ
ejpam-3440	247	20	set	set	NOUN
ejpam-3440	247	21	mz	mz	PROPN
ejpam-3440	247	22	such	such	ADJ
ejpam-3440	247	23	that	that	DET
ejpam-3440	247	24	geb∈̃mz	geb∈̃mz	NOUN
ejpam-3440	247	25	v	v	ADP
ejpam-3440	247	26	ny	ny	PROPN
ejpam-3440	247	27	.	.	PUNCT
ejpam-3440	248	1	it	it	PRON
ejpam-3440	248	2	is	be	AUX
ejpam-3440	248	3	follows	follow	VERB
ejpam-3440	248	4	,	,	PUNCT
ejpam-3440	248	5	mz	mz	PROPN
ejpam-3440	248	6	∈	∈	PROPN
ejpam-3440	248	7	n(geb	n(geb	NOUN
ejpam-3440	248	8	)	)	PUNCT
ejpam-3440	248	9	from	from	ADP
ejpam-3440	248	10	theorem	theorem	NOUN
ejpam-3440	248	11	2	2	NUM
ejpam-3440	248	12	.	.	PUNCT
ejpam-3440	249	1	but	but	CCONJ
ejpam-3440	249	2	,	,	PUNCT
ejpam-3440	249	3	mz	mz	PROPN
ejpam-3440	249	4	v	v	NUM
ejpam-3440	249	5	ny	ny	PROPN
ejpam-3440	249	6	,	,	PUNCT
ejpam-3440	249	7	then	then	ADV
ejpam-3440	249	8	ny	ny	PROPN
ejpam-3440	249	9	∈	∈	PROPN
ejpam-3440	249	10	n(geb	n(geb	PROPN
ejpam-3440	249	11	)	)	PUNCT
ejpam-3440	249	12	from	from	ADP
ejpam-3440	249	13	condition	condition	NOUN
ejpam-3440	249	14	(	(	PUNCT
ejpam-3440	249	15	3	3	NUM
ejpam-3440	249	16	)	)	PUNCT
ejpam-3440	249	17	.	.	PUNCT
ejpam-3440	250	1	hence	hence	ADV
ejpam-3440	250	2	,	,	PUNCT
ejpam-3440	250	3	n(geb	n(geb	NOUN
ejpam-3440	250	4	)	)	PUNCT
ejpam-3440	250	5	⊆	⊆	NUM
ejpam-3440	250	6	nt(geb	nt(geb	NOUN
ejpam-3440	250	7	)	)	PUNCT
ejpam-3440	250	8	.	.	PUNCT
ejpam-3440	251	1	(	(	PUNCT
ejpam-3440	251	2	2	2	X
ejpam-3440	251	3	)	)	PUNCT
ejpam-3440	251	4	from	from	ADP
ejpam-3440	251	5	(	(	PUNCT
ejpam-3440	251	6	3.1	3.1	NUM
ejpam-3440	251	7	)	)	PUNCT
ejpam-3440	251	8	and	and	CCONJ
ejpam-3440	251	9	(	(	PUNCT
ejpam-3440	251	10	3.2	3.2	NUM
ejpam-3440	251	11	)	)	PUNCT
ejpam-3440	251	12	we	we	PRON
ejpam-3440	251	13	have	have	VERB
ejpam-3440	251	14	nt(geb	nt(geb	NOUN
ejpam-3440	251	15	)	)	PUNCT
ejpam-3440	251	16	=	=	SYM
ejpam-3440	251	17	n(geb	n(geb	NOUN
ejpam-3440	251	18	)	)	PUNCT
ejpam-3440	251	19	.	.	PUNCT
ejpam-3440	252	1	definition	definition	NOUN
ejpam-3440	252	2	22	22	NUM
ejpam-3440	252	3	.	.	PUNCT
ejpam-3440	253	1	let	let	VERB
ejpam-3440	253	2	(	(	PUNCT
ejpam-3440	253	3	x	x	X
ejpam-3440	253	4	,	,	PUNCT
ejpam-3440	253	5	t	t	PROPN
ejpam-3440	253	6	,	,	PUNCT
ejpam-3440	253	7	e	e	NOUN
ejpam-3440	253	8	)	)	PUNCT
ejpam-3440	253	9	be	be	AUX
ejpam-3440	253	10	a	a	DET
ejpam-3440	253	11	fuzzy	fuzzy	ADJ
ejpam-3440	253	12	supra	supra	ADJ
ejpam-3440	253	13	soft	soft	ADJ
ejpam-3440	253	14	topological	topological	ADJ
ejpam-3440	253	15	space	space	NOUN
ejpam-3440	253	16	over	over	ADP
ejpam-3440	253	17	and	and	CCONJ
ejpam-3440	253	18	gb	gb	ADP
ejpam-3440	253	19	∈	∈	PROPN
ejpam-3440	254	1	ss(x)e	ss(x)e	PROPN
ejpam-3440	254	2	.	.	PUNCT
ejpam-3440	255	1	then	then	ADV
ejpam-3440	255	2	the	the	DET
ejpam-3440	255	3	fuzzy	fuzzy	ADJ
ejpam-3440	255	4	supra	supra	PROPN
ejpam-3440	255	5	soft	soft	ADJ
ejpam-3440	255	6	interior	interior	NOUN
ejpam-3440	255	7	of	of	ADP
ejpam-3440	255	8	gb	gb	PROPN
ejpam-3440	255	9	,	,	PUNCT
ejpam-3440	255	10	denoted	denote	VERB
ejpam-3440	255	11	by	by	ADP
ejpam-3440	255	12	fints(gb	fints(gb	NOUN
ejpam-3440	255	13	)	)	PUNCT
ejpam-3440	255	14	is	be	AUX
ejpam-3440	255	15	defined	define	VERB
ejpam-3440	255	16	as	as	ADP
ejpam-3440	255	17	fints(gb	fints(gb	ADJ
ejpam-3440	255	18	)	)	PUNCT
ejpam-3440	255	19	=	=	SYM
ejpam-3440	256	1	t{ha	t{ha	PROPN
ejpam-3440	256	2	:	:	PUNCT
ejpam-3440	256	3	ha	ha	INTJ
ejpam-3440	256	4	is	be	AUX
ejpam-3440	256	5	fuzzy	fuzzy	ADJ
ejpam-3440	256	6	supra	supra	ADJ
ejpam-3440	256	7	open	open	ADJ
ejpam-3440	256	8	soft	soft	ADJ
ejpam-3440	256	9	set	set	NOUN
ejpam-3440	256	10	and	and	CCONJ
ejpam-3440	256	11	ha	ha	INTJ
ejpam-3440	256	12	v	v	X
ejpam-3440	256	13	gb	gb	NOUN
ejpam-3440	256	14	}	}	PUNCT
ejpam-3440	256	15	.	.	PUNCT
ejpam-3440	257	1	(	(	PUNCT
ejpam-3440	257	2	3	3	X
ejpam-3440	257	3	)	)	PUNCT
ejpam-3440	257	4	also	also	ADV
ejpam-3440	257	5	,	,	PUNCT
ejpam-3440	257	6	the	the	DET
ejpam-3440	257	7	fuzzy	fuzzy	ADJ
ejpam-3440	257	8	supra	supra	PROPN
ejpam-3440	257	9	soft	soft	ADJ
ejpam-3440	257	10	closure	closure	NOUN
ejpam-3440	257	11	of	of	ADP
ejpam-3440	257	12	gb	gb	PRON
ejpam-3440	257	13	,	,	PUNCT
ejpam-3440	257	14	denoted	denote	VERB
ejpam-3440	257	15	by	by	ADP
ejpam-3440	257	16	fcls(gb	fcls(gb	NOUN
ejpam-3440	257	17	)	)	PUNCT
ejpam-3440	257	18	is	be	AUX
ejpam-3440	257	19	defined	define	VERB
ejpam-3440	257	20	as	as	ADP
ejpam-3440	257	21	fcls(gb	fcls(gb	NOUN
ejpam-3440	257	22	)	)	PUNCT
ejpam-3440	258	1	=	=	SYM
ejpam-3440	258	2	u{ha	u{ha	PROPN
ejpam-3440	258	3	:	:	PUNCT
ejpam-3440	258	4	ha	ha	INTJ
ejpam-3440	258	5	is	be	AUX
ejpam-3440	258	6	fuzzy	fuzzy	ADJ
ejpam-3440	258	7	supra	supra	PROPN
ejpam-3440	258	8	closed	close	VERB
ejpam-3440	258	9	soft	soft	ADJ
ejpam-3440	258	10	set	set	NOUN
ejpam-3440	258	11	and	and	CCONJ
ejpam-3440	258	12	gb	gb	ADP
ejpam-3440	258	13	v	v	NOUN
ejpam-3440	258	14	ha	ha	INTJ
ejpam-3440	258	15	}	}	PUNCT
ejpam-3440	258	16	.	.	PUNCT
ejpam-3440	259	1	(	(	PUNCT
ejpam-3440	259	2	4	4	X
ejpam-3440	259	3	)	)	PUNCT
ejpam-3440	259	4	definition	definition	NOUN
ejpam-3440	259	5	23	23	NUM
ejpam-3440	259	6	.	.	PUNCT
ejpam-3440	260	1	let	let	VERB
ejpam-3440	260	2	(	(	PUNCT
ejpam-3440	260	3	x	x	X
ejpam-3440	260	4	,	,	PUNCT
ejpam-3440	260	5	t	t	PROPN
ejpam-3440	260	6	,	,	PUNCT
ejpam-3440	260	7	e	e	NOUN
ejpam-3440	260	8	)	)	PUNCT
ejpam-3440	260	9	be	be	AUX
ejpam-3440	260	10	a	a	DET
ejpam-3440	260	11	fssts	fsst	NOUN
ejpam-3440	260	12	over	over	ADP
ejpam-3440	260	13	x	x	PUNCT
ejpam-3440	260	14	and	and	CCONJ
ejpam-3440	260	15	gb	gb	PROPN
ejpam-3440	260	16	∈	∈	PROPN
ejpam-3440	261	1	ss(x)e	ss(x)e	PROPN
ejpam-3440	261	2	.	.	PUNCT
ejpam-3440	262	1	then	then	ADV
ejpam-3440	262	2	,	,	PUNCT
ejpam-3440	262	3	fea	fea	PROPN
ejpam-3440	262	4	∈	∈	PROPN
ejpam-3440	262	5	ss(x)e	ss(x)e	VERB
ejpam-3440	262	6	is	be	AUX
ejpam-3440	262	7	called	call	VERB
ejpam-3440	262	8	fuzzy	fuzzy	ADJ
ejpam-3440	262	9	supra	supra	PROPN
ejpam-3440	262	10	limit	limit	NOUN
ejpam-3440	262	11	soft	soft	ADJ
ejpam-3440	262	12	point	point	NOUN
ejpam-3440	262	13	of	of	ADP
ejpam-3440	262	14	fa	fa	INTJ
ejpam-3440	262	15	if	if	SCONJ
ejpam-3440	262	16	(	(	PUNCT
ejpam-3440	262	17	gb	gb	ADP
ejpam-3440	262	18	−	−	PROPN
ejpam-3440	262	19	fea)u	fea)u	VERB
ejpam-3440	262	20	hc	hc	PROPN
ejpam-3440	262	21	6=	6=	PROPN
ejpam-3440	262	22	0̃e	0̃e	PROPN
ejpam-3440	262	23	∀	∀	X
ejpam-3440	262	24	hc	hc	ADP
ejpam-3440	262	25	∈	∈	PROPN
ejpam-3440	262	26	fsos(x	fsos(x	NOUN
ejpam-3440	262	27	)	)	PUNCT
ejpam-3440	262	28	.	.	PUNCT
ejpam-3440	263	1	the	the	DET
ejpam-3440	263	2	set	set	NOUN
ejpam-3440	263	3	of	of	ADP
ejpam-3440	263	4	all	all	DET
ejpam-3440	263	5	fuzzy	fuzzy	ADJ
ejpam-3440	263	6	supra	supra	ADJ
ejpam-3440	263	7	limit	limit	NOUN
ejpam-3440	263	8	soft	soft	ADJ
ejpam-3440	263	9	points	point	NOUN
ejpam-3440	263	10	of	of	ADP
ejpam-3440	263	11	gb	gb	PRON
ejpam-3440	263	12	is	be	AUX
ejpam-3440	263	13	called	call	VERB
ejpam-3440	263	14	the	the	DET
ejpam-3440	263	15	fuzzy	fuzzy	ADJ
ejpam-3440	263	16	supra	supra	PROPN
ejpam-3440	263	17	soft	soft	ADJ
ejpam-3440	263	18	derived	derived	NOUN
ejpam-3440	263	19	of	of	ADP
ejpam-3440	263	20	gb	gb	PRON
ejpam-3440	263	21	and	and	CCONJ
ejpam-3440	263	22	denoted	denote	VERB
ejpam-3440	263	23	by	by	ADP
ejpam-3440	263	24	dsf	dsf	NOUN
ejpam-3440	263	25	(	(	PUNCT
ejpam-3440	263	26	gb	gb	NOUN
ejpam-3440	263	27	)	)	PUNCT
ejpam-3440	263	28	.	.	PUNCT
ejpam-3440	264	1	theorem	theorem	NOUN
ejpam-3440	264	2	5	5	NUM
ejpam-3440	264	3	.	.	PUNCT
ejpam-3440	265	1	let	let	VERB
ejpam-3440	265	2	(	(	PUNCT
ejpam-3440	265	3	x	x	X
ejpam-3440	265	4	,	,	PUNCT
ejpam-3440	265	5	t	t	PROPN
ejpam-3440	265	6	,	,	PUNCT
ejpam-3440	265	7	e	e	NOUN
ejpam-3440	265	8	)	)	PUNCT
ejpam-3440	265	9	be	be	AUX
ejpam-3440	265	10	a	a	DET
ejpam-3440	265	11	supra	supra	ADJ
ejpam-3440	265	12	soft	soft	ADJ
ejpam-3440	265	13	topological	topological	ADJ
ejpam-3440	265	14	space	space	NOUN
ejpam-3440	265	15	and	and	CCONJ
ejpam-3440	265	16	fa	fa	NOUN
ejpam-3440	265	17	,	,	PUNCT
ejpam-3440	265	18	gb	gb	PRON
ejpam-3440	265	19	∈	∈	PROPN
ejpam-3440	266	1	ss(x)e	ss(x)e	PROPN
ejpam-3440	266	2	.	.	PUNCT
ejpam-3440	267	1	then	then	ADV
ejpam-3440	267	2	(	(	PUNCT
ejpam-3440	267	3	1	1	X
ejpam-3440	267	4	)	)	PUNCT
ejpam-3440	267	5	fints(1̃e	fints(1̃e	NOUN
ejpam-3440	267	6	)	)	PUNCT
ejpam-3440	267	7	=	=	SYM
ejpam-3440	267	8	1̃e	1̃e	PROPN
ejpam-3440	267	9	and	and	CCONJ
ejpam-3440	267	10	fints(0̃e	fints(0̃e	PROPN
ejpam-3440	267	11	)	)	PUNCT
ejpam-3440	268	1	=	=	SYM
ejpam-3440	268	2	0̃e	0̃e	PROPN
ejpam-3440	268	3	.	.	PUNCT
ejpam-3440	269	1	(	(	PUNCT
ejpam-3440	269	2	2	2	X
ejpam-3440	269	3	)	)	PUNCT
ejpam-3440	269	4	fcls(1̃e	fcls(1̃e	PROPN
ejpam-3440	269	5	)	)	PUNCT
ejpam-3440	269	6	=	=	SYM
ejpam-3440	269	7	1̃e	1̃e	NUM
ejpam-3440	269	8	and	and	CCONJ
ejpam-3440	269	9	fcls(0̃e	fcls(0̃e	PROPN
ejpam-3440	269	10	)	)	PUNCT
ejpam-3440	270	1	=	=	SYM
ejpam-3440	270	2	0̃e	0̃e	PROPN
ejpam-3440	270	3	.	.	PUNCT
ejpam-3440	270	4	a.	a.	PROPN
ejpam-3440	270	5	m.	m.	PROPN
ejpam-3440	271	1	abd	abd	PROPN
ejpam-3440	271	2	el	el	PROPN
ejpam-3440	271	3	-	-	PROPN
ejpam-3440	271	4	latif	latif	PROPN
ejpam-3440	271	5	/	/	SYM
ejpam-3440	271	6	eur	eur	PROPN
ejpam-3440	271	7	.	.	PUNCT
ejpam-3440	272	1	j.	j.	PROPN
ejpam-3440	272	2	pure	pure	PROPN
ejpam-3440	272	3	appl	appl	PROPN
ejpam-3440	272	4	.	.	PROPN
ejpam-3440	272	5	math	math	PROPN
ejpam-3440	272	6	,	,	PUNCT
ejpam-3440	272	7	12	12	NUM
ejpam-3440	272	8	(	(	PUNCT
ejpam-3440	272	9	3	3	NUM
ejpam-3440	272	10	)	)	PUNCT
ejpam-3440	272	11	(	(	PUNCT
ejpam-3440	272	12	2019	2019	NUM
ejpam-3440	272	13	)	)	PUNCT
ejpam-3440	272	14	,	,	PUNCT
ejpam-3440	272	15	999	999	NUM
ejpam-3440	272	16	-	-	SYM
ejpam-3440	272	17	1017	1017	NUM
ejpam-3440	272	18	1008	1008	NUM
ejpam-3440	272	19	(	(	PUNCT
ejpam-3440	272	20	3	3	X
ejpam-3440	272	21	)	)	PUNCT
ejpam-3440	272	22	fa	fa	PROPN
ejpam-3440	272	23	is	be	AUX
ejpam-3440	272	24	fuzzy	fuzzy	ADJ
ejpam-3440	272	25	supra	supra	PROPN
ejpam-3440	272	26	open	open	ADJ
ejpam-3440	272	27	soft	soft	ADJ
ejpam-3440	272	28	if	if	SCONJ
ejpam-3440	273	1	and	and	CCONJ
ejpam-3440	273	2	only	only	ADV
ejpam-3440	273	3	if	if	SCONJ
ejpam-3440	273	4	fints(fa	fints(fa	NOUN
ejpam-3440	273	5	)	)	PUNCT
ejpam-3440	273	6	=	=	SYM
ejpam-3440	274	1	fa	fa	PROPN
ejpam-3440	274	2	.	.	PROPN
ejpam-3440	274	3	(	(	PUNCT
ejpam-3440	274	4	4	4	X
ejpam-3440	274	5	)	)	PUNCT
ejpam-3440	274	6	fints(fints(fa	fints(fints(fa	PROPN
ejpam-3440	274	7	)	)	PUNCT
ejpam-3440	274	8	)	)	PUNCT
ejpam-3440	275	1	=	=	SYM
ejpam-3440	275	2	fints(fa	fints(fa	PROPN
ejpam-3440	275	3	)	)	PUNCT
ejpam-3440	275	4	and	and	CCONJ
ejpam-3440	275	5	fints(fa	fints(fa	PROPN
ejpam-3440	275	6	)	)	PUNCT
ejpam-3440	275	7	v	v	NOUN
ejpam-3440	275	8	fa	fa	NOUN
ejpam-3440	275	9	.	.	PUNCT
ejpam-3440	276	1	(	(	PUNCT
ejpam-3440	276	2	5	5	X
ejpam-3440	276	3	)	)	PUNCT
ejpam-3440	276	4	fa	fa	PROPN
ejpam-3440	276	5	is	be	AUX
ejpam-3440	276	6	fuzzy	fuzzy	ADJ
ejpam-3440	276	7	supra	supra	PROPN
ejpam-3440	276	8	closed	close	VERB
ejpam-3440	276	9	soft	soft	ADJ
ejpam-3440	276	10	set	set	NOUN
ejpam-3440	276	11	if	if	SCONJ
ejpam-3440	276	12	and	and	CCONJ
ejpam-3440	276	13	only	only	ADV
ejpam-3440	276	14	if	if	SCONJ
ejpam-3440	276	15	fcls(fa	fcls(fa	NOUN
ejpam-3440	276	16	)	)	PUNCT
ejpam-3440	276	17	=	=	SYM
ejpam-3440	276	18	fa	fa	PROPN
ejpam-3440	276	19	.	.	PROPN
ejpam-3440	276	20	(	(	PUNCT
ejpam-3440	276	21	6	6	NUM
ejpam-3440	276	22	)	)	PUNCT
ejpam-3440	276	23	fcls(fcls(fa	fcls(fcls(fa	PROPN
ejpam-3440	276	24	)	)	PUNCT
ejpam-3440	276	25	)	)	PUNCT
ejpam-3440	277	1	=	=	SYM
ejpam-3440	277	2	fcls(fa	fcls(fa	NOUN
ejpam-3440	277	3	)	)	PUNCT
ejpam-3440	277	4	and	and	CCONJ
ejpam-3440	277	5	fa	fa	PROPN
ejpam-3440	277	6	v	v	NUM
ejpam-3440	277	7	fcls(fa	fcls(fa	NOUN
ejpam-3440	277	8	)	)	PUNCT
ejpam-3440	277	9	.	.	PUNCT
ejpam-3440	278	1	(	(	PUNCT
ejpam-3440	278	2	7	7	X
ejpam-3440	278	3	)	)	PUNCT
ejpam-3440	278	4	if	if	SCONJ
ejpam-3440	278	5	fa	fa	PROPN
ejpam-3440	278	6	v	v	X
ejpam-3440	278	7	gb	gb	NOUN
ejpam-3440	278	8	,	,	PUNCT
ejpam-3440	278	9	then	then	ADV
ejpam-3440	278	10	fints(fa	fints(fa	PROPN
ejpam-3440	278	11	)	)	PUNCT
ejpam-3440	278	12	v	v	ADP
ejpam-3440	278	13	fints(gb	fints(gb	NOUN
ejpam-3440	278	14	)	)	PUNCT
ejpam-3440	278	15	and	and	CCONJ
ejpam-3440	278	16	fcls(fa	fcls(fa	NOUN
ejpam-3440	278	17	)	)	PUNCT
ejpam-3440	278	18	v	v	NOUN
ejpam-3440	278	19	fcls(gb	fcls(gb	NOUN
ejpam-3440	278	20	)	)	PUNCT
ejpam-3440	278	21	.	.	PUNCT
ejpam-3440	279	1	(	(	PUNCT
ejpam-3440	279	2	8)	8)	NUM
ejpam-3440	279	3	fcls(fa	fcls(fa	NOUN
ejpam-3440	279	4	)	)	PUNCT
ejpam-3440	279	5	=	=	PUNCT
ejpam-3440	280	1	[	[	X
ejpam-3440	280	2	fints(f	fints(f	NUM
ejpam-3440	280	3	ca)]c	ca)]c	NOUN
ejpam-3440	280	4	.	.	PUNCT
ejpam-3440	281	1	proof	proof	NOUN
ejpam-3440	281	2	.	.	PUNCT
ejpam-3440	282	1	obvious	obvious	ADJ
ejpam-3440	282	2	.	.	PUNCT
ejpam-3440	283	1	theorem	theorem	VERB
ejpam-3440	283	2	6	6	NUM
ejpam-3440	283	3	.	.	PUNCT
ejpam-3440	284	1	let	let	VERB
ejpam-3440	284	2	(	(	PUNCT
ejpam-3440	284	3	x	x	X
ejpam-3440	284	4	,	,	PUNCT
ejpam-3440	284	5	t	t	PROPN
ejpam-3440	284	6	,	,	PUNCT
ejpam-3440	284	7	e	e	NOUN
ejpam-3440	284	8	)	)	PUNCT
ejpam-3440	284	9	be	be	AUX
ejpam-3440	284	10	a	a	DET
ejpam-3440	284	11	fssts	fsst	NOUN
ejpam-3440	284	12	on	on	ADP
ejpam-3440	284	13	x	x	PUNCT
ejpam-3440	284	14	and	and	CCONJ
ejpam-3440	284	15	fa	fa	PROPN
ejpam-3440	284	16	∈	∈	PROPN
ejpam-3440	284	17	ss(x)e	ss(x)e	PROPN
ejpam-3440	284	18	.	.	PUNCT
ejpam-3440	285	1	then	then	ADV
ejpam-3440	285	2	:	:	PUNCT
ejpam-3440	285	3	(	(	PUNCT
ejpam-3440	285	4	1	1	X
ejpam-3440	285	5	)	)	PUNCT
ejpam-3440	285	6	fints(f	fints(f	PROPN
ejpam-3440	285	7	ca	ca	NOUN
ejpam-3440	285	8	)	)	PUNCT
ejpam-3440	285	9	=	=	PUNCT
ejpam-3440	286	1	1̃e	1̃e	NUM
ejpam-3440	286	2	−	−	NOUN
ejpam-3440	287	1	[	[	X
ejpam-3440	287	2	fcls(fa	fcls(fa	NOUN
ejpam-3440	287	3	)	)	PUNCT
ejpam-3440	287	4	]	]	PUNCT
ejpam-3440	287	5	.	.	PUNCT
ejpam-3440	288	1	(	(	PUNCT
ejpam-3440	288	2	2	2	X
ejpam-3440	288	3	)	)	PUNCT
ejpam-3440	288	4	fcls(f	fcls(f	PROPN
ejpam-3440	288	5	ca	ca	NOUN
ejpam-3440	288	6	)	)	PUNCT
ejpam-3440	288	7	=	=	PUNCT
ejpam-3440	289	1	1̃e	1̃e	NUM
ejpam-3440	289	2	−	−	NOUN
ejpam-3440	290	1	[	[	X
ejpam-3440	290	2	fints(fa	fints(fa	PROPN
ejpam-3440	290	3	)	)	PUNCT
ejpam-3440	290	4	]	]	PUNCT
ejpam-3440	290	5	.	.	PUNCT
ejpam-3440	291	1	proof	proof	NOUN
ejpam-3440	291	2	.	.	PUNCT
ejpam-3440	292	1	(	(	PUNCT
ejpam-3440	292	2	1	1	X
ejpam-3440	292	3	)	)	PUNCT
ejpam-3440	292	4	since	since	SCONJ
ejpam-3440	292	5	fcls(fa	fcls(fa	NOUN
ejpam-3440	292	6	)	)	PUNCT
ejpam-3440	292	7	=	=	SYM
ejpam-3440	292	8	u{hd	u{hd	PROPN
ejpam-3440	292	9	:	:	PUNCT
ejpam-3440	292	10	hd	hd	PROPN
ejpam-3440	292	11	∈	∈	PROPN
ejpam-3440	292	12	fscs(x	fscs(x	PROPN
ejpam-3440	292	13	)	)	PUNCT
ejpam-3440	292	14	,	,	PUNCT
ejpam-3440	292	15	fa	fa	PROPN
ejpam-3440	292	16	v	v	ADP
ejpam-3440	292	17	hd	hd	PROPN
ejpam-3440	292	18	}	}	PUNCT
ejpam-3440	292	19	,	,	PUNCT
ejpam-3440	292	20	1̃e	1̃e	NUM
ejpam-3440	292	21	−	−	NOUN
ejpam-3440	292	22	fcls(fa	fcls(fa	NOUN
ejpam-3440	292	23	)	)	PUNCT
ejpam-3440	292	24	=	=	PUNCT
ejpam-3440	293	1	t{hc	t{hc	PROPN
ejpam-3440	293	2	d	d	NOUN
ejpam-3440	293	3	:	:	PUNCT
ejpam-3440	293	4	h	h	NOUN
ejpam-3440	293	5	c	c	NOUN
ejpam-3440	293	6	d	d	X
ejpam-3440	293	7	∈	∈	PROPN
ejpam-3440	293	8	fsos(x	fsos(x	NOUN
ejpam-3440	293	9	)	)	PUNCT
ejpam-3440	293	10	,	,	PUNCT
ejpam-3440	294	1	h	h	NOUN
ejpam-3440	294	2	c	c	NOUN
ejpam-3440	295	1	d	d	X
ejpam-3440	295	2	v	v	X
ejpam-3440	295	3	f	f	X
ejpam-3440	295	4	c	c	NOUN
ejpam-3440	295	5	a	a	PRON
ejpam-3440	295	6	}	}	PUNCT
ejpam-3440	295	7	=	=	SYM
ejpam-3440	295	8	fints(f	fints(f	PROPN
ejpam-3440	295	9	ca	ca	NOUN
ejpam-3440	295	10	)	)	PUNCT
ejpam-3440	295	11	.	.	PUNCT
ejpam-3440	296	1	(	(	PUNCT
ejpam-3440	296	2	2	2	X
ejpam-3440	296	3	)	)	PUNCT
ejpam-3440	296	4	by	by	ADP
ejpam-3440	296	5	a	a	DET
ejpam-3440	296	6	similar	similar	ADJ
ejpam-3440	296	7	way	way	NOUN
ejpam-3440	296	8	.	.	PUNCT
ejpam-3440	297	1	in	in	ADP
ejpam-3440	297	2	the	the	DET
ejpam-3440	297	3	next	next	ADJ
ejpam-3440	297	4	theorem	theorem	NOUN
ejpam-3440	297	5	,	,	PUNCT
ejpam-3440	297	6	we	we	PRON
ejpam-3440	297	7	list	list	VERB
ejpam-3440	297	8	the	the	DET
ejpam-3440	297	9	main	main	ADJ
ejpam-3440	297	10	properties	property	NOUN
ejpam-3440	297	11	of	of	ADP
ejpam-3440	297	12	the	the	DET
ejpam-3440	297	13	operations	operation	NOUN
ejpam-3440	297	14	which	which	PRON
ejpam-3440	297	15	give	give	VERB
ejpam-3440	297	16	the	the	DET
ejpam-3440	297	17	deviations	deviation	NOUN
ejpam-3440	297	18	between	between	ADP
ejpam-3440	297	19	these	these	DET
ejpam-3440	297	20	operations	operation	NOUN
ejpam-3440	297	21	and	and	CCONJ
ejpam-3440	297	22	that	that	SCONJ
ejpam-3440	297	23	in	in	ADP
ejpam-3440	297	24	fuzzy	fuzzy	ADJ
ejpam-3440	297	25	soft	soft	ADJ
ejpam-3440	297	26	topological	topological	ADJ
ejpam-3440	297	27	spaces	space	NOUN
ejpam-3440	297	28	.	.	PUNCT
ejpam-3440	298	1	theorem	theorem	ADJ
ejpam-3440	298	2	7	7	NUM
ejpam-3440	298	3	.	.	PUNCT
ejpam-3440	299	1	let	let	VERB
ejpam-3440	299	2	(	(	PUNCT
ejpam-3440	299	3	x	x	X
ejpam-3440	299	4	,	,	PUNCT
ejpam-3440	299	5	t	t	PROPN
ejpam-3440	299	6	,	,	PUNCT
ejpam-3440	299	7	e	e	NOUN
ejpam-3440	299	8	)	)	PUNCT
ejpam-3440	299	9	be	be	AUX
ejpam-3440	299	10	a	a	DET
ejpam-3440	299	11	supra	supra	ADJ
ejpam-3440	299	12	soft	soft	ADJ
ejpam-3440	299	13	topological	topological	ADJ
ejpam-3440	299	14	space	space	NOUN
ejpam-3440	299	15	and	and	CCONJ
ejpam-3440	299	16	fa	fa	NOUN
ejpam-3440	299	17	,	,	PUNCT
ejpam-3440	299	18	gb	gb	PRON
ejpam-3440	299	19	∈	∈	PROPN
ejpam-3440	300	1	ss(x)e	ss(x)e	PROPN
ejpam-3440	300	2	.	.	PUNCT
ejpam-3440	301	1	then	then	ADV
ejpam-3440	301	2	(	(	PUNCT
ejpam-3440	301	3	1	1	X
ejpam-3440	301	4	)	)	PUNCT
ejpam-3440	301	5	fcls(fa	fcls(fa	NOUN
ejpam-3440	301	6	)	)	PUNCT
ejpam-3440	301	7	t	t	NOUN
ejpam-3440	301	8	fcls(gb	fcls(gb	NOUN
ejpam-3440	301	9	)	)	PUNCT
ejpam-3440	301	10	v	v	NUM
ejpam-3440	301	11	fcls(fa	fcls(fa	PROPN
ejpam-3440	301	12	t	t	PROPN
ejpam-3440	301	13	gb	gb	NOUN
ejpam-3440	301	14	)	)	PUNCT
ejpam-3440	301	15	.	.	PUNCT
ejpam-3440	302	1	(	(	PUNCT
ejpam-3440	302	2	2	2	X
ejpam-3440	302	3	)	)	PUNCT
ejpam-3440	302	4	dsf	dsf	NOUN
ejpam-3440	302	5	(	(	PUNCT
ejpam-3440	302	6	fa	fa	NOUN
ejpam-3440	302	7	)	)	PUNCT
ejpam-3440	302	8	t	t	PROPN
ejpam-3440	302	9	dsf	dsf	NOUN
ejpam-3440	302	10	(	(	PUNCT
ejpam-3440	302	11	gb	gb	NOUN
ejpam-3440	302	12	)	)	PUNCT
ejpam-3440	302	13	v	v	NOUN
ejpam-3440	302	14	dsf	dsf	NOUN
ejpam-3440	302	15	(	(	PUNCT
ejpam-3440	302	16	fa	fa	NOUN
ejpam-3440	302	17	t	t	PROPN
ejpam-3440	302	18	gb	gb	PROPN
ejpam-3440	302	19	)	)	PUNCT
ejpam-3440	302	20	.	.	PUNCT
ejpam-3440	303	1	(	(	PUNCT
ejpam-3440	303	2	3	3	X
ejpam-3440	303	3	)	)	PUNCT
ejpam-3440	303	4	fints(fa	fints(fa	VERB
ejpam-3440	303	5	u	u	PROPN
ejpam-3440	303	6	gb	gb	NOUN
ejpam-3440	303	7	)	)	PUNCT
ejpam-3440	303	8	v	v	NOUN
ejpam-3440	303	9	fints(fa	fints(fa	PROPN
ejpam-3440	303	10	)	)	PUNCT
ejpam-3440	303	11	u	u	NOUN
ejpam-3440	303	12	fints(gb	fints(gb	ADJ
ejpam-3440	303	13	)	)	PUNCT
ejpam-3440	303	14	.	.	PUNCT
ejpam-3440	304	1	proof	proof	NOUN
ejpam-3440	304	2	.	.	PUNCT
ejpam-3440	305	1	immediate	immediate	ADJ
ejpam-3440	305	2	.	.	PUNCT
ejpam-3440	306	1	remarks	remark	VERB
ejpam-3440	306	2	3	3	NUM
ejpam-3440	306	3	.	.	PUNCT
ejpam-3440	307	1	the	the	DET
ejpam-3440	307	2	equality	equality	NOUN
ejpam-3440	307	3	of	of	ADP
ejpam-3440	307	4	each	each	DET
ejpam-3440	307	5	part	part	NOUN
ejpam-3440	307	6	in	in	ADP
ejpam-3440	307	7	theorem	theorem	NOUN
ejpam-3440	307	8	7	7	NUM
ejpam-3440	307	9	is	be	AUX
ejpam-3440	307	10	not	not	PART
ejpam-3440	307	11	true	true	ADJ
ejpam-3440	307	12	in	in	ADP
ejpam-3440	307	13	general	general	ADJ
ejpam-3440	307	14	as	as	SCONJ
ejpam-3440	307	15	will	will	AUX
ejpam-3440	307	16	shown	show	VERB
ejpam-3440	307	17	in	in	ADP
ejpam-3440	307	18	the	the	DET
ejpam-3440	307	19	following	follow	VERB
ejpam-3440	307	20	examples	example	NOUN
ejpam-3440	307	21	.	.	PUNCT
ejpam-3440	308	1	example	example	NOUN
ejpam-3440	308	2	6	6	NUM
ejpam-3440	308	3	.	.	PUNCT
ejpam-3440	309	1	(	(	PUNCT
ejpam-3440	309	2	1	1	X
ejpam-3440	309	3	)	)	PUNCT
ejpam-3440	309	4	consider	consider	VERB
ejpam-3440	309	5	the	the	DET
ejpam-3440	309	6	fssts	fsst	NOUN
ejpam-3440	309	7	in	in	ADP
ejpam-3440	309	8	example	example	NOUN
ejpam-3440	309	9	2	2	NUM
ejpam-3440	309	10	and	and	CCONJ
ejpam-3440	309	11	consider	consider	VERB
ejpam-3440	309	12	the	the	DET
ejpam-3440	309	13	two	two	NUM
ejpam-3440	309	14	fuzzy	fuzzy	ADJ
ejpam-3440	309	15	soft	soft	ADJ
ejpam-3440	309	16	sets	set	NOUN
ejpam-3440	309	17	ge	ge	PROPN
ejpam-3440	309	18	and	and	CCONJ
ejpam-3440	309	19	he	he	PRON
ejpam-3440	309	20	over	over	ADP
ejpam-3440	309	21	x	x	PUNCT
ejpam-3440	309	22	defined	define	VERB
ejpam-3440	309	23	by	by	ADP
ejpam-3440	309	24	;	;	PUNCT
ejpam-3440	309	25	µe1ge	µe1ge	NUM
ejpam-3440	309	26	=	=	SYM
ejpam-3440	309	27	{	{	PUNCT
ejpam-3440	309	28	a0.5	a0.5	VERB
ejpam-3440	309	29	,	,	PUNCT
ejpam-3440	309	30	b0.4	b0.4	PROPN
ejpam-3440	309	31	,	,	PUNCT
ejpam-3440	309	32	c0	c0	NOUN
ejpam-3440	309	33	,	,	PUNCT
ejpam-3440	309	34	d0	d0	NOUN
ejpam-3440	309	35	}	}	PUNCT
ejpam-3440	309	36	,	,	PUNCT
ejpam-3440	309	37	µe2ge	µe2ge	NOUN
ejpam-3440	309	38	=	=	SYM
ejpam-3440	309	39	{	{	PUNCT
ejpam-3440	309	40	a0	a0	PROPN
ejpam-3440	309	41	,	,	PUNCT
ejpam-3440	309	42	b0.3	b0.3	PROPN
ejpam-3440	309	43	,	,	PUNCT
ejpam-3440	309	44	c0	c0	NOUN
ejpam-3440	309	45	,	,	PUNCT
ejpam-3440	309	46	d0.5	d0.5	VERB
ejpam-3440	309	47	}	}	PUNCT
ejpam-3440	309	48	and	and	CCONJ
ejpam-3440	309	49	µe1he	µe1he	X
ejpam-3440	309	50	=	=	SYM
ejpam-3440	309	51	{	{	PUNCT
ejpam-3440	309	52	a0.5	a0.5	VERB
ejpam-3440	309	53	,	,	PUNCT
ejpam-3440	309	54	b0.6	b0.6	NOUN
ejpam-3440	309	55	,	,	PUNCT
ejpam-3440	309	56	c1	c1	NOUN
ejpam-3440	309	57	,	,	PUNCT
ejpam-3440	309	58	d1	d1	PROPN
ejpam-3440	309	59	}	}	PUNCT
ejpam-3440	309	60	,	,	PUNCT
ejpam-3440	309	61	µe2he	µe2he	PROPN
ejpam-3440	309	62	=	=	SYM
ejpam-3440	309	63	{	{	PUNCT
ejpam-3440	309	64	a1	a1	NOUN
ejpam-3440	309	65	,	,	PUNCT
ejpam-3440	309	66	b0.7	b0.7	PROPN
ejpam-3440	309	67	,	,	PUNCT
ejpam-3440	309	68	c1	c1	NOUN
ejpam-3440	309	69	,	,	PUNCT
ejpam-3440	309	70	d0.5	d0.5	PROPN
ejpam-3440	309	71	}	}	PUNCT
ejpam-3440	309	72	.	.	PUNCT
ejpam-3440	310	1	it	it	PRON
ejpam-3440	310	2	is	be	AUX
ejpam-3440	310	3	follows	follow	VERB
ejpam-3440	310	4	,	,	PUNCT
ejpam-3440	310	5	fcls(ge	fcls(ge	PROPN
ejpam-3440	310	6	t	t	PROPN
ejpam-3440	310	7	he	he	PRON
ejpam-3440	310	8	)	)	PUNCT
ejpam-3440	311	1	=	=	SYM
ejpam-3440	311	2	1̃e	1̃e	NUM
ejpam-3440	311	3	and	and	CCONJ
ejpam-3440	311	4	fcls(ge	fcls(ge	NOUN
ejpam-3440	311	5	)	)	PUNCT
ejpam-3440	311	6	t	t	PROPN
ejpam-3440	311	7	fcls(he	fcls(he	NOUN
ejpam-3440	311	8	)	)	PUNCT
ejpam-3440	311	9	=	=	SYM
ejpam-3440	311	10	ke	ke	PROPN
ejpam-3440	311	11	,	,	PUNCT
ejpam-3440	311	12	where	where	SCONJ
ejpam-3440	311	13	ke	ke	PROPN
ejpam-3440	311	14	is	be	AUX
ejpam-3440	311	15	a	a	DET
ejpam-3440	311	16	fuzzy	fuzzy	ADJ
ejpam-3440	311	17	soft	soft	ADJ
ejpam-3440	311	18	set	set	NOUN
ejpam-3440	311	19	over	over	ADP
ejpam-3440	311	20	x	x	PUNCT
ejpam-3440	311	21	defined	define	VERB
ejpam-3440	311	22	by	by	ADP
ejpam-3440	311	23	:	:	PUNCT
ejpam-3440	311	24	µe1ke	µe1ke	NUM
ejpam-3440	311	25	=	=	SYM
ejpam-3440	311	26	{	{	PUNCT
ejpam-3440	311	27	a0.5	a0.5	VERB
ejpam-3440	311	28	,	,	PUNCT
ejpam-3440	311	29	b0.6	b0.6	NOUN
ejpam-3440	311	30	,	,	PUNCT
ejpam-3440	311	31	c1	c1	NOUN
ejpam-3440	311	32	,	,	PUNCT
ejpam-3440	311	33	d1	d1	PROPN
ejpam-3440	311	34	}	}	PUNCT
ejpam-3440	311	35	,	,	PUNCT
ejpam-3440	311	36	µe2ke	µe2ke	X
ejpam-3440	311	37	=	=	SYM
ejpam-3440	311	38	{	{	PUNCT
ejpam-3440	311	39	a1	a1	PROPN
ejpam-3440	311	40	,	,	PUNCT
ejpam-3440	311	41	b0.7	b0.7	PROPN
ejpam-3440	311	42	,	,	PUNCT
ejpam-3440	311	43	c1	c1	NOUN
ejpam-3440	311	44	,	,	PUNCT
ejpam-3440	311	45	d0.5	d0.5	PROPN
ejpam-3440	311	46	}	}	PUNCT
ejpam-3440	311	47	.	.	PUNCT
ejpam-3440	312	1	therefore	therefore	ADV
ejpam-3440	312	2	,	,	PUNCT
ejpam-3440	312	3	fcls(ge	fcls(ge	PROPN
ejpam-3440	312	4	t	t	PROPN
ejpam-3440	312	5	he	he	PRON
ejpam-3440	312	6	)	)	PUNCT
ejpam-3440	312	7	6v	6v	VERB
ejpam-3440	312	8	fcls(ge	fcls(ge	PROPN
ejpam-3440	312	9	)	)	PUNCT
ejpam-3440	312	10	t	t	PROPN
ejpam-3440	312	11	fcls(he	fcls(he	NOUN
ejpam-3440	312	12	)	)	PUNCT
ejpam-3440	312	13	.	.	PUNCT
ejpam-3440	313	1	a.	a.	PROPN
ejpam-3440	313	2	m.	m.	PROPN
ejpam-3440	313	3	abd	abd	PROPN
ejpam-3440	313	4	el	el	PROPN
ejpam-3440	313	5	-	-	PROPN
ejpam-3440	313	6	latif	latif	PROPN
ejpam-3440	313	7	/	/	SYM
ejpam-3440	313	8	eur	eur	PROPN
ejpam-3440	313	9	.	.	PUNCT
ejpam-3440	314	1	j.	j.	PROPN
ejpam-3440	314	2	pure	pure	PROPN
ejpam-3440	314	3	appl	appl	PROPN
ejpam-3440	314	4	.	.	PROPN
ejpam-3440	314	5	math	math	PROPN
ejpam-3440	314	6	,	,	PUNCT
ejpam-3440	314	7	12	12	NUM
ejpam-3440	314	8	(	(	PUNCT
ejpam-3440	314	9	3	3	NUM
ejpam-3440	314	10	)	)	PUNCT
ejpam-3440	314	11	(	(	PUNCT
ejpam-3440	314	12	2019	2019	NUM
ejpam-3440	314	13	)	)	PUNCT
ejpam-3440	314	14	,	,	PUNCT
ejpam-3440	314	15	999	999	NUM
ejpam-3440	314	16	-	-	SYM
ejpam-3440	314	17	1017	1017	NUM
ejpam-3440	314	18	1009	1009	NUM
ejpam-3440	314	19	(	(	PUNCT
ejpam-3440	314	20	2	2	NUM
ejpam-3440	314	21	)	)	PUNCT
ejpam-3440	314	22	in	in	ADP
ejpam-3440	314	23	(	(	PUNCT
ejpam-3440	314	24	1	1	NUM
ejpam-3440	314	25	)	)	PUNCT
ejpam-3440	314	26	,	,	PUNCT
ejpam-3440	314	27	dsf	dsf	NOUN
ejpam-3440	314	28	(	(	PUNCT
ejpam-3440	314	29	ge	ge	PROPN
ejpam-3440	314	30	t	t	PROPN
ejpam-3440	314	31	he	he	PRON
ejpam-3440	314	32	)	)	PUNCT
ejpam-3440	314	33	6v	6v	NOUN
ejpam-3440	314	34	dsf	dsf	PROPN
ejpam-3440	314	35	(	(	PUNCT
ejpam-3440	314	36	ge	ge	PROPN
ejpam-3440	314	37	)	)	PUNCT
ejpam-3440	314	38	t	t	PROPN
ejpam-3440	314	39	dsf	dsf	PROPN
ejpam-3440	314	40	(	(	PUNCT
ejpam-3440	314	41	he	he	PRON
ejpam-3440	314	42	)	)	PUNCT
ejpam-3440	314	43	(	(	PUNCT
ejpam-3440	314	44	3	3	X
ejpam-3440	314	45	)	)	PUNCT
ejpam-3440	314	46	consider	consider	VERB
ejpam-3440	314	47	the	the	DET
ejpam-3440	314	48	fssts	fsst	NOUN
ejpam-3440	314	49	in	in	ADP
ejpam-3440	314	50	example	example	NOUN
ejpam-3440	314	51	2	2	NUM
ejpam-3440	314	52	and	and	CCONJ
ejpam-3440	314	53	consider	consider	VERB
ejpam-3440	314	54	the	the	DET
ejpam-3440	314	55	two	two	NUM
ejpam-3440	314	56	fuzzy	fuzzy	ADJ
ejpam-3440	314	57	soft	soft	ADJ
ejpam-3440	314	58	sets	set	NOUN
ejpam-3440	314	59	me	i	PRON
ejpam-3440	314	60	and	and	CCONJ
ejpam-3440	314	61	ne	ne	X
ejpam-3440	314	62	over	over	X
ejpam-3440	314	63	x	x	PUNCT
ejpam-3440	314	64	defined	define	VERB
ejpam-3440	314	65	by	by	ADP
ejpam-3440	314	66	;	;	PUNCT
ejpam-3440	314	67	µe1me	µe1me	NOUN
ejpam-3440	314	68	=	=	SYM
ejpam-3440	314	69	{	{	PUNCT
ejpam-3440	314	70	a0	a0	PROPN
ejpam-3440	314	71	,	,	PUNCT
ejpam-3440	314	72	b0.4	b0.4	PROPN
ejpam-3440	314	73	,	,	PUNCT
ejpam-3440	314	74	c0	c0	NOUN
ejpam-3440	314	75	,	,	PUNCT
ejpam-3440	314	76	d0.5	d0.5	NOUN
ejpam-3440	314	77	}	}	PUNCT
ejpam-3440	314	78	,	,	PUNCT
ejpam-3440	314	79	µe2me	µe2me	PROPN
ejpam-3440	314	80	=	=	SYM
ejpam-3440	314	81	{	{	PUNCT
ejpam-3440	314	82	a0.4	a0.4	PROPN
ejpam-3440	314	83	,	,	PUNCT
ejpam-3440	314	84	b0	b0	NOUN
ejpam-3440	314	85	,	,	PUNCT
ejpam-3440	314	86	c0.6	c0.6	NOUN
ejpam-3440	314	87	,	,	PUNCT
ejpam-3440	314	88	d0	d0	NOUN
ejpam-3440	314	89	}	}	PUNCT
ejpam-3440	314	90	,	,	PUNCT
ejpam-3440	314	91	µe1ne	µe1ne	NUM
ejpam-3440	314	92	=	=	SYM
ejpam-3440	314	93	{	{	PUNCT
ejpam-3440	314	94	a0.5	a0.5	PROPN
ejpam-3440	314	95	,	,	PUNCT
ejpam-3440	314	96	b0	b0	NOUN
ejpam-3440	314	97	,	,	PUNCT
ejpam-3440	314	98	c0.6	c0.6	NOUN
ejpam-3440	314	99	,	,	PUNCT
ejpam-3440	314	100	d0	d0	NOUN
ejpam-3440	314	101	}	}	PUNCT
ejpam-3440	314	102	,	,	PUNCT
ejpam-3440	314	103	µe2ne	µe2ne	PROPN
ejpam-3440	314	104	=	=	SYM
ejpam-3440	314	105	{	{	PUNCT
ejpam-3440	314	106	a0.4	a0.4	NOUN
ejpam-3440	314	107	,	,	PUNCT
ejpam-3440	314	108	b0	b0	NOUN
ejpam-3440	314	109	,	,	PUNCT
ejpam-3440	314	110	c0.6	c0.6	NOUN
ejpam-3440	314	111	,	,	PUNCT
ejpam-3440	314	112	d0.5	d0.5	NOUN
ejpam-3440	314	113	}	}	PUNCT
ejpam-3440	314	114	.	.	PUNCT
ejpam-3440	315	1	it	it	PRON
ejpam-3440	315	2	is	be	AUX
ejpam-3440	315	3	follows	follow	VERB
ejpam-3440	315	4	,	,	PUNCT
ejpam-3440	315	5	fints(me	fints(me	PROPN
ejpam-3440	315	6	une	une	PROPN
ejpam-3440	315	7	)	)	PUNCT
ejpam-3440	316	1	=	=	SYM
ejpam-3440	316	2	0̃e	0̃e	PROPN
ejpam-3440	316	3	and	and	CCONJ
ejpam-3440	316	4	fints(me)ufints(ne	fints(me)ufints(ne	PROPN
ejpam-3440	316	5	)	)	PUNCT
ejpam-3440	317	1	=	=	PUNCT
ejpam-3440	317	2	le	le	X
ejpam-3440	317	3	,	,	PUNCT
ejpam-3440	317	4	where	where	SCONJ
ejpam-3440	317	5	le	le	PROPN
ejpam-3440	317	6	is	be	AUX
ejpam-3440	317	7	a	a	DET
ejpam-3440	317	8	fuzzy	fuzzy	ADJ
ejpam-3440	317	9	soft	soft	ADJ
ejpam-3440	317	10	set	set	NOUN
ejpam-3440	317	11	over	over	ADP
ejpam-3440	317	12	x	x	PUNCT
ejpam-3440	317	13	defined	define	VERB
ejpam-3440	317	14	by	by	ADP
ejpam-3440	317	15	:	:	PUNCT
ejpam-3440	317	16	µe1le	µe1le	PROPN
ejpam-3440	317	17	=	=	SYM
ejpam-3440	317	18	{	{	PUNCT
ejpam-3440	317	19	a0	a0	PROPN
ejpam-3440	317	20	,	,	PUNCT
ejpam-3440	317	21	b0	b0	NOUN
ejpam-3440	317	22	,	,	PUNCT
ejpam-3440	317	23	c0	c0	NOUN
ejpam-3440	317	24	,	,	PUNCT
ejpam-3440	317	25	d0.5	d0.5	NOUN
ejpam-3440	317	26	}	}	PUNCT
ejpam-3440	317	27	,	,	PUNCT
ejpam-3440	317	28	µe2le	µe2le	NOUN
ejpam-3440	317	29	=	=	SYM
ejpam-3440	317	30	{	{	PUNCT
ejpam-3440	317	31	a0.4	a0.4	PROPN
ejpam-3440	317	32	,	,	PUNCT
ejpam-3440	317	33	b0	b0	NOUN
ejpam-3440	317	34	,	,	PUNCT
ejpam-3440	317	35	c0.6	c0.6	NOUN
ejpam-3440	317	36	,	,	PUNCT
ejpam-3440	317	37	d0.5	d0.5	NOUN
ejpam-3440	317	38	}	}	PUNCT
ejpam-3440	317	39	.	.	PUNCT
ejpam-3440	318	1	therefore	therefore	ADV
ejpam-3440	318	2	,	,	PUNCT
ejpam-3440	318	3	fints(me	fints(me	NOUN
ejpam-3440	318	4	)	)	PUNCT
ejpam-3440	318	5	u	u	NOUN
ejpam-3440	318	6	fints(ne	fints(ne	PROPN
ejpam-3440	318	7	)	)	PUNCT
ejpam-3440	318	8	6v	6v	VERB
ejpam-3440	318	9	fints(me	fints(me	PROPN
ejpam-3440	318	10	u	u	PROPN
ejpam-3440	318	11	ne	ne	PROPN
ejpam-3440	318	12	)	)	PUNCT
ejpam-3440	318	13	.	.	PUNCT
ejpam-3440	319	1	definition	definition	NOUN
ejpam-3440	319	2	24	24	NUM
ejpam-3440	319	3	.	.	PUNCT
ejpam-3440	320	1	let	let	VERB
ejpam-3440	320	2	(	(	PUNCT
ejpam-3440	320	3	x	x	X
ejpam-3440	320	4	,	,	PUNCT
ejpam-3440	320	5	t	t	PROPN
ejpam-3440	320	6	,	,	PUNCT
ejpam-3440	320	7	e	e	NOUN
ejpam-3440	320	8	)	)	PUNCT
ejpam-3440	320	9	be	be	AUX
ejpam-3440	320	10	a	a	DET
ejpam-3440	320	11	fssts	fsst	NOUN
ejpam-3440	320	12	and	and	CCONJ
ejpam-3440	320	13	y	y	PROPN
ejpam-3440	320	14	⊆	⊆	NUM
ejpam-3440	320	15	x.	x.	NOUN
ejpam-3440	320	16	let	let	VERB
ejpam-3440	320	17	ye	ye	PRON
ejpam-3440	320	18	be	be	AUX
ejpam-3440	320	19	a	a	DET
ejpam-3440	320	20	fuzzy	fuzzy	ADJ
ejpam-3440	320	21	soft	soft	ADJ
ejpam-3440	320	22	set	set	NOUN
ejpam-3440	320	23	over	over	ADP
ejpam-3440	320	24	(	(	PUNCT
ejpam-3440	320	25	y	y	NOUN
ejpam-3440	320	26	,	,	PUNCT
ejpam-3440	320	27	e	e	NOUN
ejpam-3440	320	28	)	)	PUNCT
ejpam-3440	320	29	defined	define	VERB
ejpam-3440	320	30	by	by	ADP
ejpam-3440	320	31	:	:	PUNCT
ejpam-3440	320	32	ye	ye	NOUN
ejpam-3440	320	33	:	:	PUNCT
ejpam-3440	320	34	e	e	X
ejpam-3440	320	35	→	→	PUNCT
ejpam-3440	320	36	iy	iy	PROPN
ejpam-3440	320	37	such	such	ADJ
ejpam-3440	320	38	that	that	PRON
ejpam-3440	320	39	ye(e	ye(e	NOUN
ejpam-3440	320	40	)	)	PUNCT
ejpam-3440	320	41	=	=	SYM
ejpam-3440	320	42	µeye	µeye	NOUN
ejpam-3440	320	43	,	,	PUNCT
ejpam-3440	320	44	where	where	SCONJ
ejpam-3440	320	45	µeye	µeye	NOUN
ejpam-3440	320	46	(	(	PUNCT
ejpam-3440	320	47	x	x	X
ejpam-3440	320	48	)	)	PUNCT
ejpam-3440	320	49	=	=	SYM
ejpam-3440	320	50	{	{	PUNCT
ejpam-3440	320	51	1	1	NUM
ejpam-3440	320	52	,	,	PUNCT
ejpam-3440	320	53	x	x	PUNCT
ejpam-3440	320	54	∈	∈	PROPN
ejpam-3440	320	55	y	y	PROPN
ejpam-3440	320	56	,	,	PUNCT
ejpam-3440	320	57	0	0	NUM
ejpam-3440	320	58	,	,	PUNCT
ejpam-3440	320	59	x	x	X
ejpam-3440	320	60	6∈	6∈	PROPN
ejpam-3440	320	61	y.	y.	NOUN
ejpam-3440	320	62	then	then	ADV
ejpam-3440	320	63	,	,	PUNCT
ejpam-3440	320	64	the	the	DET
ejpam-3440	320	65	fssts	fsst	NOUN
ejpam-3440	320	66	tye	tye	VERB
ejpam-3440	320	67	=	=	SYM
ejpam-3440	320	68	{	{	PUNCT
ejpam-3440	320	69	yeugb	yeugb	NOUN
ejpam-3440	320	70	:	:	PUNCT
ejpam-3440	320	71	gb	gb	ADP
ejpam-3440	320	72	∈	∈	PROPN
ejpam-3440	320	73	t	t	PROPN
ejpam-3440	320	74	}	}	PUNCT
ejpam-3440	320	75	is	be	AUX
ejpam-3440	320	76	called	call	VERB
ejpam-3440	320	77	the	the	DET
ejpam-3440	320	78	fuzzy	fuzzy	ADJ
ejpam-3440	320	79	supra	supra	PROPN
ejpam-3440	320	80	soft	soft	ADJ
ejpam-3440	320	81	subspace	subspace	NOUN
ejpam-3440	320	82	topology	topology	NOUN
ejpam-3440	320	83	for	for	ADP
ejpam-3440	320	84	ye	ye	PRON
ejpam-3440	320	85	and	and	CCONJ
ejpam-3440	320	86	(	(	PUNCT
ejpam-3440	320	87	y	y	PROPN
ejpam-3440	320	88	,	,	PUNCT
ejpam-3440	320	89	tye	tye	NOUN
ejpam-3440	320	90	,	,	PUNCT
ejpam-3440	320	91	e	e	X
ejpam-3440	320	92	)	)	PUNCT
ejpam-3440	320	93	is	be	AUX
ejpam-3440	320	94	called	call	VERB
ejpam-3440	320	95	fuzzy	fuzzy	ADJ
ejpam-3440	320	96	supra	supra	PROPN
ejpam-3440	320	97	soft	soft	ADJ
ejpam-3440	320	98	subspace	subspace	NOUN
ejpam-3440	320	99	of	of	ADP
ejpam-3440	320	100	(	(	PUNCT
ejpam-3440	320	101	x	x	PROPN
ejpam-3440	320	102	,	,	PUNCT
ejpam-3440	320	103	t	t	PROPN
ejpam-3440	320	104	,	,	PUNCT
ejpam-3440	320	105	e	e	NOUN
ejpam-3440	320	106	)	)	PUNCT
ejpam-3440	320	107	.	.	PUNCT
ejpam-3440	321	1	example	example	NOUN
ejpam-3440	321	2	7	7	X
ejpam-3440	321	3	.	.	X
ejpam-3440	322	1	consider	consider	VERB
ejpam-3440	322	2	the	the	DET
ejpam-3440	322	3	fssts	fsst	NOUN
ejpam-3440	322	4	in	in	ADP
ejpam-3440	322	5	example	example	NOUN
ejpam-3440	322	6	1	1	NUM
ejpam-3440	322	7	,	,	PUNCT
ejpam-3440	322	8	let	let	VERB
ejpam-3440	322	9	y	y	PROPN
ejpam-3440	322	10	=	=	PRON
ejpam-3440	322	11	{	{	PUNCT
ejpam-3440	322	12	a	a	PRON
ejpam-3440	322	13	,	,	PUNCT
ejpam-3440	322	14	b	b	NOUN
ejpam-3440	322	15	}	}	PUNCT
ejpam-3440	322	16	⊆	⊆	NUM
ejpam-3440	322	17	x.	x.	NOUN
ejpam-3440	322	18	we	we	PRON
ejpam-3440	322	19	consider	consider	VERB
ejpam-3440	322	20	the	the	DET
ejpam-3440	322	21	fuzzy	fuzzy	ADJ
ejpam-3440	322	22	soft	soft	ADJ
ejpam-3440	322	23	set	set	NOUN
ejpam-3440	322	24	ye	ye	NOUN
ejpam-3440	322	25	over	over	ADP
ejpam-3440	322	26	(	(	PUNCT
ejpam-3440	322	27	y	y	NOUN
ejpam-3440	322	28	,	,	PUNCT
ejpam-3440	322	29	e	e	NOUN
ejpam-3440	322	30	)	)	PUNCT
ejpam-3440	322	31	defined	define	VERB
ejpam-3440	322	32	as	as	SCONJ
ejpam-3440	322	33	follows	follow	VERB
ejpam-3440	322	34	:	:	PUNCT
ejpam-3440	322	35	µe1ye	µe1ye	X
ejpam-3440	322	36	=	=	SYM
ejpam-3440	322	37	{	{	PUNCT
ejpam-3440	322	38	a1	a1	PROPN
ejpam-3440	322	39	,	,	PUNCT
ejpam-3440	322	40	b1	b1	NOUN
ejpam-3440	322	41	,	,	PUNCT
ejpam-3440	322	42	c0	c0	NOUN
ejpam-3440	322	43	}	}	PUNCT
ejpam-3440	322	44	,	,	PUNCT
ejpam-3440	322	45	µe2ye	µe2ye	X
ejpam-3440	322	46	=	=	SYM
ejpam-3440	322	47	{	{	PUNCT
ejpam-3440	322	48	a1	a1	PROPN
ejpam-3440	322	49	,	,	PUNCT
ejpam-3440	322	50	b1	b1	NOUN
ejpam-3440	322	51	,	,	PUNCT
ejpam-3440	322	52	c0	c0	NOUN
ejpam-3440	322	53	}	}	PUNCT
ejpam-3440	322	54	,	,	PUNCT
ejpam-3440	322	55	µe3ye	µe3ye	PROPN
ejpam-3440	322	56	=	=	SYM
ejpam-3440	322	57	{	{	PUNCT
ejpam-3440	322	58	a1	a1	PROPN
ejpam-3440	322	59	,	,	PUNCT
ejpam-3440	322	60	b1	b1	NOUN
ejpam-3440	322	61	,	,	PUNCT
ejpam-3440	322	62	c0	c0	NOUN
ejpam-3440	322	63	}	}	PUNCT
ejpam-3440	322	64	.	.	PUNCT
ejpam-3440	323	1	then	then	ADV
ejpam-3440	323	2	tye	tye	NOUN
ejpam-3440	323	3	=	=	SYM
ejpam-3440	323	4	{	{	PUNCT
ejpam-3440	323	5	ye	ye	PART
ejpam-3440	323	6	u	u	NOUN
ejpam-3440	323	7	ze	ze	PROPN
ejpam-3440	323	8	:	:	PUNCT
ejpam-3440	323	9	ze	ze	PROPN
ejpam-3440	323	10	∈	∈	PROPN
ejpam-3440	323	11	t	t	PROPN
ejpam-3440	323	12	}	}	PUNCT
ejpam-3440	323	13	where	where	SCONJ
ejpam-3440	323	14	ye	ye	PRON
ejpam-3440	323	15	u	u	NOUN
ejpam-3440	323	16	0̃e	0̃e	PROPN
ejpam-3440	323	17	=	=	SYM
ejpam-3440	323	18	0̃e	0̃e	PROPN
ejpam-3440	323	19	,	,	PUNCT
ejpam-3440	323	20	ye	ye	PRON
ejpam-3440	323	21	u	u	NOUN
ejpam-3440	323	22	1̃e	1̃e	NUM
ejpam-3440	323	23	=	=	SYM
ejpam-3440	323	24	ye	ye	NOUN
ejpam-3440	323	25	,	,	PUNCT
ejpam-3440	323	26	ye	ye	NUM
ejpam-3440	323	27	u	u	NOUN
ejpam-3440	323	28	f1a	f1a	PROPN
ejpam-3440	323	29	=	=	PUNCT
ejpam-3440	323	30	ha	ha	INTJ
ejpam-3440	323	31	,	,	PUNCT
ejpam-3440	323	32	where	where	SCONJ
ejpam-3440	323	33	µe1	µe1	VERB
ejpam-3440	323	34	ha	ha	X
ejpam-3440	323	35	=	=	X
ejpam-3440	323	36	{	{	PUNCT
ejpam-3440	323	37	a0.6	a0.6	PROPN
ejpam-3440	323	38	,	,	PUNCT
ejpam-3440	323	39	b0.75	b0.75	PROPN
ejpam-3440	323	40	,	,	PUNCT
ejpam-3440	323	41	c0	c0	NOUN
ejpam-3440	323	42	}	}	PUNCT
ejpam-3440	323	43	,	,	PUNCT
ejpam-3440	323	44	µe2	µe2	NOUN
ejpam-3440	323	45	ha	ha	NOUN
ejpam-3440	323	46	=	=	PUNCT
ejpam-3440	323	47	{	{	PUNCT
ejpam-3440	323	48	a0.5	a0.5	VERB
ejpam-3440	323	49	,	,	PUNCT
ejpam-3440	323	50	b0.8	b0.8	PROPN
ejpam-3440	323	51	,	,	PUNCT
ejpam-3440	323	52	c0	c0	NOUN
ejpam-3440	323	53	}	}	PUNCT
ejpam-3440	323	54	,	,	PUNCT
ejpam-3440	323	55	ye	ye	PRON
ejpam-3440	323	56	u	u	NOUN
ejpam-3440	323	57	f2b	f2b	PROPN
ejpam-3440	323	58	=	=	SYM
ejpam-3440	323	59	hb	hb	PROPN
ejpam-3440	323	60	,	,	PUNCT
ejpam-3440	323	61	where	where	SCONJ
ejpam-3440	323	62	µe2hb	µe2hb	PRON
ejpam-3440	323	63	=	=	NOUN
ejpam-3440	323	64	{	{	PUNCT
ejpam-3440	323	65	a0.4	a0.4	PROPN
ejpam-3440	323	66	,	,	PUNCT
ejpam-3440	323	67	b0.6	b0.6	NOUN
ejpam-3440	323	68	,	,	PUNCT
ejpam-3440	323	69	c0	c0	NOUN
ejpam-3440	323	70	}	}	PUNCT
ejpam-3440	323	71	,	,	PUNCT
ejpam-3440	323	72	µe2hb	µe2hb	X
ejpam-3440	323	73	=	=	SYM
ejpam-3440	323	74	{	{	PUNCT
ejpam-3440	323	75	a0.3	a0.3	PROPN
ejpam-3440	323	76	,	,	PUNCT
ejpam-3440	323	77	b0.35	b0.35	PROPN
ejpam-3440	323	78	,	,	PUNCT
ejpam-3440	323	79	c0	c0	NOUN
ejpam-3440	323	80	}	}	PUNCT
ejpam-3440	323	81	,	,	PUNCT
ejpam-3440	323	82	ye	ye	PRON
ejpam-3440	323	83	u	u	NOUN
ejpam-3440	324	1	f3e	f3e	PROPN
ejpam-3440	324	2	=	=	PRON
ejpam-3440	325	1	he	he	PRON
ejpam-3440	325	2	,	,	PUNCT
ejpam-3440	325	3	where	where	SCONJ
ejpam-3440	325	4	µe1he	µe1he	X
ejpam-3440	325	5	=	=	SYM
ejpam-3440	325	6	{	{	PUNCT
ejpam-3440	325	7	a0.6	a0.6	X
ejpam-3440	325	8	,	,	PUNCT
ejpam-3440	325	9	b0.75	b0.75	PROPN
ejpam-3440	325	10	,	,	PUNCT
ejpam-3440	325	11	c0	c0	NOUN
ejpam-3440	325	12	}	}	PUNCT
ejpam-3440	325	13	,	,	PUNCT
ejpam-3440	325	14	µe2he	µe2he	PROPN
ejpam-3440	325	15	=	=	SYM
ejpam-3440	325	16	{	{	PUNCT
ejpam-3440	325	17	a0.5	a0.5	VERB
ejpam-3440	325	18	,	,	PUNCT
ejpam-3440	325	19	b0.8	b0.8	PROPN
ejpam-3440	325	20	,	,	PUNCT
ejpam-3440	325	21	c0	c0	NOUN
ejpam-3440	325	22	}	}	PUNCT
ejpam-3440	325	23	,	,	PUNCT
ejpam-3440	325	24	µe3he	µe3he	X
ejpam-3440	325	25	=	=	SYM
ejpam-3440	325	26	{	{	PUNCT
ejpam-3440	325	27	a0.3	a0.3	PROPN
ejpam-3440	325	28	,	,	PUNCT
ejpam-3440	325	29	b0.35	b0.35	PROPN
ejpam-3440	325	30	,	,	PUNCT
ejpam-3440	325	31	c0	c0	NOUN
ejpam-3440	325	32	}	}	PUNCT
ejpam-3440	325	33	.	.	PUNCT
ejpam-3440	326	1	thus	thus	ADV
ejpam-3440	326	2	,	,	PUNCT
ejpam-3440	326	3	the	the	DET
ejpam-3440	326	4	collection	collection	NOUN
ejpam-3440	326	5	tye	tye	NOUN
ejpam-3440	326	6	=	=	SYM
ejpam-3440	326	7	{	{	PUNCT
ejpam-3440	326	8	ye	ye	PART
ejpam-3440	326	9	u	u	NOUN
ejpam-3440	326	10	ze	ze	PROPN
ejpam-3440	326	11	:	:	PUNCT
ejpam-3440	326	12	ze	ze	PROPN
ejpam-3440	326	13	∈	∈	PROPN
ejpam-3440	326	14	t	t	PROPN
ejpam-3440	326	15	}	}	PUNCT
ejpam-3440	326	16	is	be	AUX
ejpam-3440	326	17	a	a	DET
ejpam-3440	326	18	fuzzy	fuzzy	ADJ
ejpam-3440	326	19	supra	supra	ADJ
ejpam-3440	326	20	soft	soft	ADJ
ejpam-3440	326	21	subspace	subspace	NOUN
ejpam-3440	326	22	of	of	ADP
ejpam-3440	326	23	t.	t.	NOUN
ejpam-3440	326	24	proposition	proposition	NOUN
ejpam-3440	326	25	3	3	X
ejpam-3440	326	26	.	.	PUNCT
ejpam-3440	327	1	let	let	AUX
ejpam-3440	327	2	(	(	PUNCT
ejpam-3440	327	3	y	y	NOUN
ejpam-3440	327	4	,	,	PUNCT
ejpam-3440	327	5	tye	tye	NOUN
ejpam-3440	327	6	,	,	PUNCT
ejpam-3440	327	7	e	e	X
ejpam-3440	327	8	)	)	PUNCT
ejpam-3440	327	9	be	be	AUX
ejpam-3440	327	10	a	a	DET
ejpam-3440	327	11	fuzzy	fuzzy	ADJ
ejpam-3440	327	12	supra	supra	ADJ
ejpam-3440	327	13	soft	soft	ADJ
ejpam-3440	327	14	subspace	subspace	NOUN
ejpam-3440	327	15	of	of	ADP
ejpam-3440	327	16	a	a	DET
ejpam-3440	327	17	fssts	fsst	NOUN
ejpam-3440	327	18	(	(	PUNCT
ejpam-3440	327	19	x	x	X
ejpam-3440	327	20	,	,	PUNCT
ejpam-3440	327	21	t	t	PROPN
ejpam-3440	327	22	,	,	PUNCT
ejpam-3440	327	23	e	e	NOUN
ejpam-3440	327	24	)	)	PUNCT
ejpam-3440	327	25	and	and	CCONJ
ejpam-3440	327	26	gb	gb	ADP
ejpam-3440	327	27	∈	∈	PROPN
ejpam-3440	327	28	fss(x)e	fss(x)e	PROPN
ejpam-3440	327	29	.	.	PUNCT
ejpam-3440	328	1	then	then	ADV
ejpam-3440	328	2	,	,	PUNCT
ejpam-3440	328	3	gb	gb	PRON
ejpam-3440	328	4	is	be	AUX
ejpam-3440	328	5	tye	tye	PROPN
ejpam-3440	328	6	-fuzzy	-fuzzy	PROPN
ejpam-3440	328	7	supra	supra	PROPN
ejpam-3440	328	8	closed	close	VERB
ejpam-3440	328	9	soft	soft	ADJ
ejpam-3440	328	10	if	if	SCONJ
ejpam-3440	328	11	and	and	CCONJ
ejpam-3440	328	12	only	only	ADV
ejpam-3440	328	13	if	if	SCONJ
ejpam-3440	328	14	gb	gb	ADP
ejpam-3440	328	15	=	=	NOUN
ejpam-3440	328	16	ye	ye	PART
ejpam-3440	328	17	u	u	NOUN
ejpam-3440	328	18	kc	kc	NOUN
ejpam-3440	328	19	for	for	SCONJ
ejpam-3440	328	20	some	some	DET
ejpam-3440	328	21	t	t	NOUN
ejpam-3440	328	22	-	-	PUNCT
ejpam-3440	328	23	fuzzy	fuzzy	ADJ
ejpam-3440	328	24	supra	supra	PROPN
ejpam-3440	328	25	closed	close	VERB
ejpam-3440	328	26	soft	soft	ADJ
ejpam-3440	328	27	set	set	NOUN
ejpam-3440	328	28	kc	kc	PROPN
ejpam-3440	328	29	.	.	PUNCT
ejpam-3440	329	1	proof	proof	NOUN
ejpam-3440	329	2	.	.	PUNCT
ejpam-3440	330	1	immediate	immediate	ADJ
ejpam-3440	330	2	.	.	PUNCT
ejpam-3440	330	3	proposition	proposition	NOUN
ejpam-3440	330	4	4	4	NUM
ejpam-3440	330	5	.	.	PUNCT
ejpam-3440	331	1	let	let	AUX
ejpam-3440	331	2	(	(	PUNCT
ejpam-3440	331	3	y	y	NOUN
ejpam-3440	331	4	,	,	PUNCT
ejpam-3440	331	5	tye	tye	NOUN
ejpam-3440	331	6	,	,	PUNCT
ejpam-3440	331	7	e	e	X
ejpam-3440	331	8	)	)	PUNCT
ejpam-3440	331	9	be	be	AUX
ejpam-3440	331	10	a	a	DET
ejpam-3440	331	11	fuzzy	fuzzy	ADJ
ejpam-3440	331	12	supra	supra	ADJ
ejpam-3440	331	13	soft	soft	ADJ
ejpam-3440	331	14	subspace	subspace	NOUN
ejpam-3440	331	15	of	of	ADP
ejpam-3440	331	16	a	a	DET
ejpam-3440	331	17	fssts	fsst	NOUN
ejpam-3440	331	18	(	(	PUNCT
ejpam-3440	331	19	x	x	X
ejpam-3440	331	20	,	,	PUNCT
ejpam-3440	331	21	t	t	PROPN
ejpam-3440	331	22	,	,	PUNCT
ejpam-3440	331	23	e	e	NOUN
ejpam-3440	331	24	)	)	PUNCT
ejpam-3440	331	25	and	and	CCONJ
ejpam-3440	331	26	gb	gb	ADP
ejpam-3440	331	27	∈	∈	PROPN
ejpam-3440	331	28	fss(x)e	fss(x)e	PROPN
ejpam-3440	331	29	.	.	PUNCT
ejpam-3440	332	1	then	then	ADV
ejpam-3440	332	2	,	,	PUNCT
ejpam-3440	332	3	tye	tye	PROPN
ejpam-3440	332	4	-fuzzy	-fuzzy	PROPN
ejpam-3440	332	5	supra	supra	ADJ
ejpam-3440	332	6	soft	soft	ADJ
ejpam-3440	332	7	closure	closure	NOUN
ejpam-3440	332	8	of	of	ADP
ejpam-3440	332	9	gb	gb	PRON
ejpam-3440	332	10	,	,	PUNCT
ejpam-3440	332	11	denoted	denote	VERB
ejpam-3440	332	12	by	by	ADP
ejpam-3440	332	13	fclstye	fclstye	NOUN
ejpam-3440	332	14	,	,	PUNCT
ejpam-3440	332	15	where	where	SCONJ
ejpam-3440	332	16	fclstye	fclstye	ADJ
ejpam-3440	332	17	(	(	PUNCT
ejpam-3440	332	18	gb	gb	NOUN
ejpam-3440	332	19	)	)	PUNCT
ejpam-3440	332	20	=	=	PUNCT
ejpam-3440	332	21	ye	ye	NUM
ejpam-3440	332	22	u	u	NOUN
ejpam-3440	332	23	fcls(gb	fcls(gb	NOUN
ejpam-3440	332	24	)	)	PUNCT
ejpam-3440	332	25	.	.	PUNCT
ejpam-3440	333	1	proof	proof	NOUN
ejpam-3440	333	2	.	.	PUNCT
ejpam-3440	334	1	immediate	immediate	ADJ
ejpam-3440	334	2	.	.	PUNCT
ejpam-3440	335	1	a.	a.	PROPN
ejpam-3440	335	2	m.	m.	PROPN
ejpam-3440	335	3	abd	abd	PROPN
ejpam-3440	335	4	el	el	PROPN
ejpam-3440	335	5	-	-	PROPN
ejpam-3440	335	6	latif	latif	PROPN
ejpam-3440	335	7	/	/	SYM
ejpam-3440	335	8	eur	eur	PROPN
ejpam-3440	335	9	.	.	PUNCT
ejpam-3440	336	1	j.	j.	PROPN
ejpam-3440	336	2	pure	pure	PROPN
ejpam-3440	336	3	appl	appl	PROPN
ejpam-3440	336	4	.	.	PROPN
ejpam-3440	336	5	math	math	PROPN
ejpam-3440	336	6	,	,	PUNCT
ejpam-3440	336	7	12	12	NUM
ejpam-3440	336	8	(	(	PUNCT
ejpam-3440	336	9	3	3	NUM
ejpam-3440	336	10	)	)	PUNCT
ejpam-3440	336	11	(	(	PUNCT
ejpam-3440	336	12	2019	2019	NUM
ejpam-3440	336	13	)	)	PUNCT
ejpam-3440	336	14	,	,	PUNCT
ejpam-3440	336	15	999	999	NUM
ejpam-3440	336	16	-	-	SYM
ejpam-3440	336	17	1017	1017	NUM
ejpam-3440	336	18	1010	1010	NUM
ejpam-3440	336	19	4	4	NUM
ejpam-3440	336	20	.	.	PUNCT
ejpam-3440	336	21	fuzzy	fuzzy	ADJ
ejpam-3440	336	22	supra	supra	PROPN
ejpam-3440	336	23	soft	soft	ADJ
ejpam-3440	336	24	continuous	continuous	ADJ
ejpam-3440	336	25	mappings	mapping	NOUN
ejpam-3440	336	26	in	in	ADP
ejpam-3440	336	27	this	this	DET
ejpam-3440	336	28	section	section	NOUN
ejpam-3440	336	29	,	,	PUNCT
ejpam-3440	336	30	we	we	PRON
ejpam-3440	336	31	consider	consider	VERB
ejpam-3440	336	32	the	the	DET
ejpam-3440	336	33	notion	notion	NOUN
ejpam-3440	336	34	of	of	ADP
ejpam-3440	336	35	fuzzy	fuzzy	ADJ
ejpam-3440	336	36	supra	supra	PROPN
ejpam-3440	336	37	soft	soft	ADJ
ejpam-3440	336	38	continuity	continuity	NOUN
ejpam-3440	336	39	as	as	ADP
ejpam-3440	336	40	a	a	DET
ejpam-3440	336	41	generalization	generalization	NOUN
ejpam-3440	336	42	to	to	ADP
ejpam-3440	336	43	fuzzy	fuzzy	ADJ
ejpam-3440	336	44	soft	soft	ADJ
ejpam-3440	336	45	continuity	continuity	NOUN
ejpam-3440	336	46	[	[	X
ejpam-3440	336	47	8	8	NUM
ejpam-3440	336	48	]	]	PUNCT
ejpam-3440	336	49	,	,	PUNCT
ejpam-3440	336	50	fuzzy	fuzzy	ADJ
ejpam-3440	336	51	semi	semi	ADJ
ejpam-3440	336	52	-	-	ADJ
ejpam-3440	336	53	soft	soft	ADJ
ejpam-3440	336	54	continuity	continuity	NOUN
ejpam-3440	336	55	[	[	X
ejpam-3440	336	56	19	19	NUM
ejpam-3440	336	57	]	]	PUNCT
ejpam-3440	336	58	,	,	PUNCT
ejpam-3440	336	59	fuzzy	fuzzy	ADJ
ejpam-3440	336	60	pre	pre	ADJ
ejpam-3440	336	61	-	-	ADJ
ejpam-3440	336	62	soft	soft	ADJ
ejpam-3440	336	63	continuity	continuity	NOUN
ejpam-3440	336	64	[	[	X
ejpam-3440	336	65	1	1	NUM
ejpam-3440	336	66	]	]	PUNCT
ejpam-3440	336	67	,	,	PUNCT
ejpam-3440	336	68	fuzzy	fuzzy	ADJ
ejpam-3440	336	69	α	α	NOUN
ejpam-3440	336	70	-	-	PUNCT
ejpam-3440	336	71	soft	soft	ADJ
ejpam-3440	336	72	continuity	continuity	NOUN
ejpam-3440	336	73	[	[	X
ejpam-3440	336	74	2	2	NUM
ejpam-3440	336	75	]	]	PUNCT
ejpam-3440	336	76	,	,	PUNCT
ejpam-3440	336	77	fuzzy	fuzzy	ADJ
ejpam-3440	336	78	β	β	NOUN
ejpam-3440	336	79	-	-	ADJ
ejpam-3440	336	80	soft	soft	ADJ
ejpam-3440	336	81	continuity	continuity	NOUN
ejpam-3440	336	82	[	[	X
ejpam-3440	336	83	3	3	NUM
ejpam-3440	336	84	]	]	PUNCT
ejpam-3440	336	85	and	and	CCONJ
ejpam-3440	336	86	fuzzy	fuzzy	ADJ
ejpam-3440	336	87	b	b	X
ejpam-3440	336	88	-	-	PUNCT
ejpam-3440	336	89	soft	soft	ADJ
ejpam-3440	336	90	continuity	continuity	NOUN
ejpam-3440	336	91	[	[	X
ejpam-3440	336	92	6	6	NUM
ejpam-3440	336	93	]	]	PUNCT
ejpam-3440	336	94	,	,	PUNCT
ejpam-3440	336	95	supported	support	VERB
ejpam-3440	336	96	by	by	ADP
ejpam-3440	336	97	examples	example	NOUN
ejpam-3440	336	98	and	and	CCONJ
ejpam-3440	336	99	counterexamples	counterexample	NOUN
ejpam-3440	336	100	.	.	PUNCT
ejpam-3440	337	1	we	we	PRON
ejpam-3440	337	2	also	also	ADV
ejpam-3440	337	3	introduce	introduce	VERB
ejpam-3440	337	4	and	and	CCONJ
ejpam-3440	337	5	study	study	VERB
ejpam-3440	337	6	the	the	DET
ejpam-3440	337	7	concepts	concept	NOUN
ejpam-3440	337	8	of	of	ADP
ejpam-3440	337	9	fuzzy	fuzzy	ADJ
ejpam-3440	337	10	supra	supra	PROPN
ejpam-3440	337	11	open	open	ADJ
ejpam-3440	337	12	(	(	PUNCT
ejpam-3440	337	13	resp	resp	NOUN
ejpam-3440	337	14	.	.	PUNCT
ejpam-3440	338	1	closed	closed	ADJ
ejpam-3440	338	2	)	)	PUNCT
ejpam-3440	338	3	soft	soft	ADJ
ejpam-3440	338	4	functions	function	NOUN
ejpam-3440	338	5	a	a	DET
ejpam-3440	338	6	generalization	generalization	NOUN
ejpam-3440	338	7	to	to	ADP
ejpam-3440	338	8	fuzzy	fuzzy	ADJ
ejpam-3440	338	9	open	open	ADJ
ejpam-3440	338	10	(	(	PUNCT
ejpam-3440	338	11	resp	resp	NOUN
ejpam-3440	338	12	.	.	PUNCT
ejpam-3440	339	1	closed	closed	ADJ
ejpam-3440	339	2	)	)	PUNCT
ejpam-3440	339	3	soft	soft	ADJ
ejpam-3440	339	4	functions	function	NOUN
ejpam-3440	339	5	[	[	X
ejpam-3440	339	6	30	30	NUM
ejpam-3440	339	7	]	]	PUNCT
ejpam-3440	339	8	.	.	PUNCT
ejpam-3440	340	1	definition	definition	NOUN
ejpam-3440	340	2	25	25	NUM
ejpam-3440	340	3	.	.	PUNCT
ejpam-3440	341	1	let	let	VERB
ejpam-3440	341	2	(	(	PUNCT
ejpam-3440	341	3	x	x	X
ejpam-3440	341	4	,	,	PUNCT
ejpam-3440	341	5	t∗1	t∗1	ADJ
ejpam-3440	341	6	,	,	PUNCT
ejpam-3440	341	7	e	e	NOUN
ejpam-3440	341	8	)	)	PUNCT
ejpam-3440	341	9	,	,	PUNCT
ejpam-3440	341	10	(	(	PUNCT
ejpam-3440	341	11	y	y	NOUN
ejpam-3440	341	12	,	,	PUNCT
ejpam-3440	341	13	t∗2,k	t∗2,k	PROPN
ejpam-3440	341	14	)	)	PUNCT
ejpam-3440	341	15	be	be	VERB
ejpam-3440	341	16	two	two	NUM
ejpam-3440	341	17	fuzzy	fuzzy	ADJ
ejpam-3440	341	18	soft	soft	ADJ
ejpam-3440	341	19	topological	topological	ADJ
ejpam-3440	341	20	spaces	space	NOUN
ejpam-3440	341	21	,	,	PUNCT
ejpam-3440	341	22	t1	t1	PROPN
ejpam-3440	341	23	be	be	VERB
ejpam-3440	341	24	an	an	DET
ejpam-3440	341	25	associated	associate	VERB
ejpam-3440	341	26	fssts	fsst	NOUN
ejpam-3440	341	27	with	with	ADP
ejpam-3440	341	28	t∗1	t∗1	NOUN
ejpam-3440	341	29	and	and	CCONJ
ejpam-3440	341	30	fpu	fpu	PROPN
ejpam-3440	341	31	:	:	PUNCT
ejpam-3440	341	32	fss(x)e	fss(x)e	ADJ
ejpam-3440	341	33	→	→	SYM
ejpam-3440	341	34	fss(y	fss(y	PROPN
ejpam-3440	341	35	)	)	PUNCT
ejpam-3440	341	36	k	k	X
ejpam-3440	341	37	be	be	AUX
ejpam-3440	341	38	a	a	DET
ejpam-3440	341	39	soft	soft	ADJ
ejpam-3440	341	40	function	function	NOUN
ejpam-3440	341	41	.	.	PUNCT
ejpam-3440	342	1	then	then	ADV
ejpam-3440	342	2	,	,	PUNCT
ejpam-3440	342	3	fpu	fpu	PROPN
ejpam-3440	342	4	is	be	AUX
ejpam-3440	342	5	called	call	VERB
ejpam-3440	342	6	fuzzy	fuzzy	ADJ
ejpam-3440	342	7	supra	supra	PROPN
ejpam-3440	342	8	soft	soft	ADJ
ejpam-3440	342	9	continuous	continuous	ADJ
ejpam-3440	342	10	(	(	PUNCT
ejpam-3440	342	11	fss	fss	ADV
ejpam-3440	342	12	-	-	PUNCT
ejpam-3440	342	13	continuous	continuous	ADJ
ejpam-3440	342	14	,	,	PUNCT
ejpam-3440	342	15	in	in	ADP
ejpam-3440	342	16	short	short	ADJ
ejpam-3440	342	17	)	)	PUNCT
ejpam-3440	342	18	if	if	SCONJ
ejpam-3440	342	19	f−1	f−1	PROPN
ejpam-3440	342	20	pu	pu	PROPN
ejpam-3440	342	21	(	(	PUNCT
ejpam-3440	342	22	gb	gb	NOUN
ejpam-3440	342	23	)	)	PUNCT
ejpam-3440	342	24	∈	∈	NOUN
ejpam-3440	342	25	t1	t1	NOUN
ejpam-3440	342	26	∀	∀	PUNCT
ejpam-3440	342	27	gb	gb	ADP
ejpam-3440	342	28	∈	∈	PROPN
ejpam-3440	342	29	t∗2	t∗2	NOUN
ejpam-3440	342	30	.	.	PUNCT
ejpam-3440	343	1	theorem	theorem	VERB
ejpam-3440	343	2	8	8	NUM
ejpam-3440	343	3	.	.	PUNCT
ejpam-3440	344	1	let	let	VERB
ejpam-3440	344	2	(	(	PUNCT
ejpam-3440	344	3	x	x	X
ejpam-3440	344	4	,	,	PUNCT
ejpam-3440	344	5	t∗1	t∗1	ADJ
ejpam-3440	344	6	,	,	PUNCT
ejpam-3440	344	7	e	e	NOUN
ejpam-3440	344	8	)	)	PUNCT
ejpam-3440	344	9	,	,	PUNCT
ejpam-3440	344	10	(	(	PUNCT
ejpam-3440	344	11	y	y	NOUN
ejpam-3440	344	12	,	,	PUNCT
ejpam-3440	344	13	t∗2,k	t∗2,k	PROPN
ejpam-3440	344	14	)	)	PUNCT
ejpam-3440	344	15	be	be	VERB
ejpam-3440	344	16	two	two	NUM
ejpam-3440	344	17	fuzzy	fuzzy	ADJ
ejpam-3440	344	18	soft	soft	ADJ
ejpam-3440	344	19	topological	topological	ADJ
ejpam-3440	344	20	spaces	space	NOUN
ejpam-3440	344	21	,	,	PUNCT
ejpam-3440	344	22	t1	t1	PROPN
ejpam-3440	344	23	,	,	PUNCT
ejpam-3440	344	24	t2	t2	PROPN
ejpam-3440	344	25	be	be	AUX
ejpam-3440	344	26	associated	associate	VERB
ejpam-3440	344	27	fssts	fsst	NOUN
ejpam-3440	344	28	with	with	ADP
ejpam-3440	344	29	t∗1	t∗1	ADJ
ejpam-3440	344	30	,	,	PUNCT
ejpam-3440	344	31	t∗2	t∗2	NOUN
ejpam-3440	344	32	,	,	PUNCT
ejpam-3440	344	33	respectively	respectively	ADV
ejpam-3440	344	34	.	.	PUNCT
ejpam-3440	345	1	let	let	AUX
ejpam-3440	345	2	fpu	fpu	PROPN
ejpam-3440	345	3	:	:	PUNCT
ejpam-3440	345	4	fss(x)e	fss(x)e	ADJ
ejpam-3440	345	5	→	→	SYM
ejpam-3440	345	6	fss(y	fss(y	PROPN
ejpam-3440	345	7	)	)	PUNCT
ejpam-3440	345	8	k	k	X
ejpam-3440	345	9	be	be	AUX
ejpam-3440	345	10	a	a	DET
ejpam-3440	345	11	soft	soft	ADJ
ejpam-3440	345	12	function	function	NOUN
ejpam-3440	345	13	.	.	PUNCT
ejpam-3440	346	1	then	then	ADV
ejpam-3440	346	2	,	,	PUNCT
ejpam-3440	346	3	the	the	DET
ejpam-3440	346	4	following	follow	VERB
ejpam-3440	346	5	are	be	AUX
ejpam-3440	346	6	equivalent	equivalent	ADJ
ejpam-3440	346	7	:	:	PUNCT
ejpam-3440	346	8	(	(	PUNCT
ejpam-3440	346	9	1	1	X
ejpam-3440	346	10	)	)	PUNCT
ejpam-3440	346	11	fpu	fpu	NOUN
ejpam-3440	346	12	is	be	AUX
ejpam-3440	346	13	fss	fss	ADJ
ejpam-3440	346	14	-	-	PUNCT
ejpam-3440	346	15	continuous	continuous	ADJ
ejpam-3440	346	16	.	.	PUNCT
ejpam-3440	347	1	(	(	PUNCT
ejpam-3440	347	2	2	2	X
ejpam-3440	347	3	)	)	PUNCT
ejpam-3440	347	4	f−1	f−1	PROPN
ejpam-3440	347	5	pu	pu	PROPN
ejpam-3440	347	6	(	(	PUNCT
ejpam-3440	347	7	hb	hb	PROPN
ejpam-3440	347	8	)	)	PUNCT
ejpam-3440	347	9	∈	∈	PROPN
ejpam-3440	347	10	tc	tc	NUM
ejpam-3440	347	11	1	1	NUM
ejpam-3440	347	12	∀	∀	NOUN
ejpam-3440	347	13	hb	hb	ADP
ejpam-3440	347	14	∈	∈	PROPN
ejpam-3440	347	15	t∗c2	t∗c2	NOUN
ejpam-3440	347	16	.	.	PUNCT
ejpam-3440	348	1	(	(	PUNCT
ejpam-3440	348	2	3	3	X
ejpam-3440	348	3	)	)	PUNCT
ejpam-3440	348	4	fpu(fcls(ga	fpu(fcls(ga	NOUN
ejpam-3440	348	5	)	)	PUNCT
ejpam-3440	348	6	)	)	PUNCT
ejpam-3440	348	7	v	v	ADP
ejpam-3440	348	8	fcls(fpu(ga	fcls(fpu(ga	NUM
ejpam-3440	348	9	)	)	PUNCT
ejpam-3440	348	10	)	)	PUNCT
ejpam-3440	348	11	∀	∀	PUNCT
ejpam-3440	349	1	ga	ga	PROPN
ejpam-3440	349	2	∈	∈	PROPN
ejpam-3440	349	3	fss(x)e	fss(x)e	PROPN
ejpam-3440	349	4	.	.	PUNCT
ejpam-3440	350	1	(	(	PUNCT
ejpam-3440	350	2	4	4	X
ejpam-3440	350	3	)	)	PUNCT
ejpam-3440	350	4	fcls(f−1	fcls(f−1	NOUN
ejpam-3440	350	5	pu	pu	PROPN
ejpam-3440	350	6	(	(	PUNCT
ejpam-3440	350	7	hb	hb	PROPN
ejpam-3440	350	8	)	)	PUNCT
ejpam-3440	350	9	)	)	PUNCT
ejpam-3440	351	1	v	v	ADP
ejpam-3440	351	2	f−1	f−1	PROPN
ejpam-3440	351	3	pu	pu	PROPN
ejpam-3440	351	4	(	(	PUNCT
ejpam-3440	351	5	fcls(hb	fcls(hb	NOUN
ejpam-3440	351	6	)	)	PUNCT
ejpam-3440	351	7	)	)	PUNCT
ejpam-3440	351	8	∀	∀	X
ejpam-3440	352	1	hb	hb	X
ejpam-3440	352	2	∈	∈	PROPN
ejpam-3440	353	1	fss(y	fss(y	PROPN
ejpam-3440	353	2	)	)	PUNCT
ejpam-3440	354	1	k	k	PROPN
ejpam-3440	354	2	.	.	PUNCT
ejpam-3440	355	1	(	(	PUNCT
ejpam-3440	355	2	5	5	X
ejpam-3440	355	3	)	)	PUNCT
ejpam-3440	355	4	f−1	f−1	PROPN
ejpam-3440	355	5	pu	pu	PROPN
ejpam-3440	355	6	(	(	PUNCT
ejpam-3440	355	7	fints(hb	fints(hb	PROPN
ejpam-3440	355	8	)	)	PUNCT
ejpam-3440	355	9	)	)	PUNCT
ejpam-3440	355	10	v	v	ADP
ejpam-3440	355	11	fints(f−1	fints(f−1	PROPN
ejpam-3440	355	12	pu	pu	PROPN
ejpam-3440	355	13	(	(	PUNCT
ejpam-3440	355	14	hb	hb	PROPN
ejpam-3440	355	15	)	)	PUNCT
ejpam-3440	355	16	)	)	PUNCT
ejpam-3440	355	17	∀	∀	X
ejpam-3440	356	1	hb	hb	X
ejpam-3440	356	2	∈	∈	PROPN
ejpam-3440	356	3	fss(y	fss(y	PROPN
ejpam-3440	356	4	)	)	PUNCT
ejpam-3440	357	1	k	k	X
ejpam-3440	357	2	.	.	PUNCT
ejpam-3440	358	1	proof	proof	NOUN
ejpam-3440	358	2	.	.	PUNCT
ejpam-3440	359	1	(	(	PUNCT
ejpam-3440	359	2	1	1	X
ejpam-3440	359	3	)	)	PUNCT
ejpam-3440	359	4	⇒	⇒	NOUN
ejpam-3440	359	5	(	(	PUNCT
ejpam-3440	359	6	2	2	X
ejpam-3440	359	7	)	)	PUNCT
ejpam-3440	359	8	let	let	VERB
ejpam-3440	359	9	hb	hb	X
ejpam-3440	359	10	∈	∈	PROPN
ejpam-3440	359	11	t∗c2	t∗c2	NOUN
ejpam-3440	359	12	.	.	PUNCT
ejpam-3440	360	1	then	then	ADV
ejpam-3440	360	2	,	,	PUNCT
ejpam-3440	360	3	hcb	hcb	PROPN
ejpam-3440	360	4	∈	∈	PROPN
ejpam-3440	360	5	t∗2	t∗2	NOUN
ejpam-3440	360	6	and	and	CCONJ
ejpam-3440	360	7	f−1	f−1	PROPN
ejpam-3440	360	8	pu	pu	PROPN
ejpam-3440	360	9	(	(	PUNCT
ejpam-3440	360	10	hcb	hcb	PROPN
ejpam-3440	360	11	)	)	PUNCT
ejpam-3440	360	12	∈	∈	PROPN
ejpam-3440	360	13	t1	t1	NOUN
ejpam-3440	360	14	from	from	ADP
ejpam-3440	360	15	definition	definition	NOUN
ejpam-3440	360	16	25	25	NUM
ejpam-3440	360	17	.	.	PUNCT
ejpam-3440	361	1	since	since	SCONJ
ejpam-3440	361	2	f−1	f−1	PROPN
ejpam-3440	361	3	pu	pu	PROPN
ejpam-3440	361	4	(	(	PUNCT
ejpam-3440	361	5	hcb	hcb	PROPN
ejpam-3440	361	6	)	)	PUNCT
ejpam-3440	361	7	=	=	PUNCT
ejpam-3440	361	8	(	(	PUNCT
ejpam-3440	361	9	f−1	f−1	PROPN
ejpam-3440	361	10	pu	pu	PROPN
ejpam-3440	361	11	(	(	PUNCT
ejpam-3440	361	12	hb))c	hb))c	PROPN
ejpam-3440	361	13	from	from	ADP
ejpam-3440	361	14	theorem	theorem	ADJ
ejpam-3440	361	15	1	1	NUM
ejpam-3440	361	16	,	,	PUNCT
ejpam-3440	361	17	f−1	f−1	PROPN
ejpam-3440	361	18	pu	pu	PROPN
ejpam-3440	361	19	(	(	PUNCT
ejpam-3440	361	20	hb	hb	PROPN
ejpam-3440	361	21	)	)	PUNCT
ejpam-3440	361	22	∈	∈	PROPN
ejpam-3440	361	23	tc	tc	NUM
ejpam-3440	361	24	1	1	NUM
ejpam-3440	361	25	.	.	PUNCT
ejpam-3440	362	1	(	(	PUNCT
ejpam-3440	362	2	2	2	X
ejpam-3440	362	3	)	)	PUNCT
ejpam-3440	362	4	⇒	⇒	NOUN
ejpam-3440	362	5	(	(	PUNCT
ejpam-3440	362	6	3	3	X
ejpam-3440	362	7	)	)	PUNCT
ejpam-3440	362	8	let	let	VERB
ejpam-3440	362	9	ga	ga	PROPN
ejpam-3440	362	10	∈	∈	PROPN
ejpam-3440	362	11	fss(x)e	fss(x)e	PROPN
ejpam-3440	362	12	.	.	PUNCT
ejpam-3440	363	1	since	since	SCONJ
ejpam-3440	363	2	ga	ga	PROPN
ejpam-3440	363	3	v	v	ADP
ejpam-3440	363	4	f−1	f−1	PROPN
ejpam-3440	363	5	pu	pu	PROPN
ejpam-3440	363	6	(	(	PUNCT
ejpam-3440	363	7	fpu(ga	fpu(ga	NOUN
ejpam-3440	363	8	)	)	PUNCT
ejpam-3440	363	9	)	)	PUNCT
ejpam-3440	363	10	v	v	ADP
ejpam-3440	363	11	f−1	f−1	PROPN
ejpam-3440	363	12	pu	pu	PROPN
ejpam-3440	363	13	(	(	PUNCT
ejpam-3440	363	14	fcls(fpu(ga	fcls(fpu(ga	NOUN
ejpam-3440	363	15	)	)	PUNCT
ejpam-3440	363	16	)	)	PUNCT
ejpam-3440	363	17	)	)	PUNCT
ejpam-3440	364	1	∈	∈	PROPN
ejpam-3440	364	2	tc	tc	NOUN
ejpam-3440	364	3	1	1	NUM
ejpam-3440	364	4	from	from	ADP
ejpam-3440	364	5	(	(	PUNCT
ejpam-3440	364	6	2	2	NUM
ejpam-3440	364	7	)	)	PUNCT
ejpam-3440	364	8	and	and	CCONJ
ejpam-3440	364	9	theorem	theorem	VERB
ejpam-3440	364	10	1	1	NUM
ejpam-3440	364	11	.	.	PUNCT
ejpam-3440	365	1	then	then	ADV
ejpam-3440	365	2	,	,	PUNCT
ejpam-3440	365	3	ga	ga	PROPN
ejpam-3440	365	4	v	v	NOUN
ejpam-3440	365	5	fcls(ga	fcls(ga	NOUN
ejpam-3440	365	6	)	)	PUNCT
ejpam-3440	365	7	v	v	ADP
ejpam-3440	365	8	f−1	f−1	PROPN
ejpam-3440	365	9	pu	pu	PROPN
ejpam-3440	365	10	(	(	PUNCT
ejpam-3440	365	11	fcls(fpu(ga	fcls(fpu(ga	NOUN
ejpam-3440	365	12	)	)	PUNCT
ejpam-3440	365	13	)	)	PUNCT
ejpam-3440	365	14	)	)	PUNCT
ejpam-3440	365	15	.	.	PUNCT
ejpam-3440	366	1	hence	hence	ADV
ejpam-3440	366	2	,	,	PUNCT
ejpam-3440	366	3	fpu(fcls(ga	fpu(fcls(ga	NOUN
ejpam-3440	366	4	)	)	PUNCT
ejpam-3440	366	5	)	)	PUNCT
ejpam-3440	367	1	v	v	ADP
ejpam-3440	367	2	fpu(f−1	fpu(f−1	NUM
ejpam-3440	367	3	pu	pu	PROPN
ejpam-3440	367	4	(	(	PUNCT
ejpam-3440	367	5	fcls(fpu(ga	fcls(fpu(ga	NOUN
ejpam-3440	367	6	)	)	PUNCT
ejpam-3440	367	7	)	)	PUNCT
ejpam-3440	367	8	)	)	PUNCT
ejpam-3440	367	9	)	)	PUNCT
ejpam-3440	367	10	v	v	ADP
ejpam-3440	367	11	fcls(fpu(ga	fcls(fpu(ga	NUM
ejpam-3440	367	12	)	)	PUNCT
ejpam-3440	367	13	)	)	PUNCT
ejpam-3440	367	14	)	)	PUNCT
ejpam-3440	367	15	from	from	ADP
ejpam-3440	367	16	theorem	theorem	NOUN
ejpam-3440	367	17	1	1	NUM
ejpam-3440	367	18	.	.	PUNCT
ejpam-3440	367	19	thus	thus	ADV
ejpam-3440	367	20	,	,	PUNCT
ejpam-3440	367	21	fpu(fcls(ga	fpu(fcls(ga	NOUN
ejpam-3440	367	22	)	)	PUNCT
ejpam-3440	367	23	)	)	PUNCT
ejpam-3440	367	24	v	v	ADP
ejpam-3440	367	25	fcls(fpu(ga	fcls(fpu(ga	NUM
ejpam-3440	367	26	)	)	PUNCT
ejpam-3440	367	27	)	)	PUNCT
ejpam-3440	367	28	.	.	PUNCT
ejpam-3440	368	1	(	(	PUNCT
ejpam-3440	368	2	3	3	X
ejpam-3440	368	3	)	)	PUNCT
ejpam-3440	368	4	⇒	⇒	NOUN
ejpam-3440	368	5	(	(	PUNCT
ejpam-3440	368	6	4	4	X
ejpam-3440	368	7	)	)	PUNCT
ejpam-3440	368	8	let	let	VERB
ejpam-3440	368	9	hb	hb	X
ejpam-3440	368	10	∈	∈	PROPN
ejpam-3440	368	11	fss(y	fss(y	PROPN
ejpam-3440	368	12	)	)	PUNCT
ejpam-3440	369	1	k	k	PROPN
ejpam-3440	369	2	and	and	CCONJ
ejpam-3440	369	3	ga	ga	PROPN
ejpam-3440	369	4	=	=	SYM
ejpam-3440	369	5	f−1	f−1	PROPN
ejpam-3440	369	6	pu	pu	PROPN
ejpam-3440	369	7	(	(	PUNCT
ejpam-3440	369	8	hb	hb	PROPN
ejpam-3440	369	9	)	)	PUNCT
ejpam-3440	369	10	.	.	PUNCT
ejpam-3440	370	1	applying	apply	VERB
ejpam-3440	370	2	(	(	PUNCT
ejpam-3440	370	3	3	3	NUM
ejpam-3440	370	4	)	)	PUNCT
ejpam-3440	370	5	,	,	PUNCT
ejpam-3440	370	6	fpu(fclsf−1	fpu(fclsf−1	NOUN
ejpam-3440	370	7	pu	pu	PROPN
ejpam-3440	370	8	(	(	PUNCT
ejpam-3440	370	9	hb	hb	PROPN
ejpam-3440	370	10	)	)	PUNCT
ejpam-3440	370	11	)	)	PUNCT
ejpam-3440	371	1	v	v	ADP
ejpam-3440	371	2	fcls(fpu(f−1	fcls(fpu(f−1	PROPN
ejpam-3440	371	3	pu	pu	X
ejpam-3440	371	4	(	(	PUNCT
ejpam-3440	371	5	hb	hb	NOUN
ejpam-3440	371	6	)	)	PUNCT
ejpam-3440	371	7	)	)	PUNCT
ejpam-3440	371	8	)	)	PUNCT
ejpam-3440	371	9	.	.	PUNCT
ejpam-3440	372	1	hence	hence	ADV
ejpam-3440	372	2	,	,	PUNCT
ejpam-3440	372	3	fcls(f−1	fcls(f−1	PROPN
ejpam-3440	372	4	pu	pu	PROPN
ejpam-3440	372	5	(	(	PUNCT
ejpam-3440	372	6	hb	hb	PROPN
ejpam-3440	372	7	)	)	PUNCT
ejpam-3440	372	8	)	)	PUNCT
ejpam-3440	372	9	v	v	ADP
ejpam-3440	372	10	f−1	f−1	PROPN
ejpam-3440	372	11	pu	pu	PROPN
ejpam-3440	372	12	(	(	PUNCT
ejpam-3440	372	13	fpu(fcls(f−1	fpu(fcls(f−1	PROPN
ejpam-3440	372	14	pu	pu	PROPN
ejpam-3440	372	15	(	(	PUNCT
ejpam-3440	372	16	hb	hb	PROPN
ejpam-3440	372	17	)	)	PUNCT
ejpam-3440	372	18	)	)	PUNCT
ejpam-3440	372	19	)	)	PUNCT
ejpam-3440	372	20	)	)	PUNCT
ejpam-3440	373	1	v	v	X
ejpam-3440	373	2	f−1	f−1	PROPN
ejpam-3440	373	3	pu	pu	PROPN
ejpam-3440	373	4	(	(	PUNCT
ejpam-3440	373	5	fcls(fpu	fcls(fpu	PROPN
ejpam-3440	373	6	(	(	PUNCT
ejpam-3440	373	7	f−1	f−1	PROPN
ejpam-3440	373	8	pu	pu	PROPN
ejpam-3440	373	9	(	(	PUNCT
ejpam-3440	373	10	hb	hb	PROPN
ejpam-3440	373	11	)	)	PUNCT
ejpam-3440	373	12	)	)	PUNCT
ejpam-3440	373	13	)	)	PUNCT
ejpam-3440	373	14	)	)	PUNCT
ejpam-3440	374	1	v	v	X
ejpam-3440	374	2	f−1	f−1	PROPN
ejpam-3440	374	3	pu	pu	PROPN
ejpam-3440	374	4	(	(	PUNCT
ejpam-3440	374	5	fcls(hb	fcls(hb	NOUN
ejpam-3440	374	6	)	)	PUNCT
ejpam-3440	374	7	)	)	PUNCT
ejpam-3440	374	8	from	from	ADP
ejpam-3440	374	9	theorem	theorem	ADJ
ejpam-3440	374	10	1	1	NUM
ejpam-3440	374	11	.	.	PUNCT
ejpam-3440	375	1	thus	thus	ADV
ejpam-3440	375	2	,	,	PUNCT
ejpam-3440	375	3	fcls(f−1	fcls(f−1	PROPN
ejpam-3440	375	4	pu	pu	PROPN
ejpam-3440	375	5	(	(	PUNCT
ejpam-3440	375	6	hb	hb	PROPN
ejpam-3440	375	7	)	)	PUNCT
ejpam-3440	375	8	)	)	PUNCT
ejpam-3440	375	9	v	v	ADP
ejpam-3440	375	10	f−1	f−1	PROPN
ejpam-3440	375	11	pu	pu	PROPN
ejpam-3440	375	12	(	(	PUNCT
ejpam-3440	375	13	fcls(hb	fcls(hb	NOUN
ejpam-3440	375	14	)	)	PUNCT
ejpam-3440	375	15	)	)	PUNCT
ejpam-3440	375	16	.	.	PUNCT
ejpam-3440	376	1	(	(	PUNCT
ejpam-3440	376	2	4	4	X
ejpam-3440	376	3	)	)	PUNCT
ejpam-3440	376	4	⇒	⇒	NOUN
ejpam-3440	376	5	(	(	PUNCT
ejpam-3440	376	6	2	2	X
ejpam-3440	376	7	)	)	PUNCT
ejpam-3440	376	8	let	let	VERB
ejpam-3440	376	9	hb	hb	X
ejpam-3440	376	10	∈	∈	PROPN
ejpam-3440	376	11	t∗c2	t∗c2	NOUN
ejpam-3440	376	12	.	.	PUNCT
ejpam-3440	377	1	then	then	ADV
ejpam-3440	377	2	,	,	PUNCT
ejpam-3440	377	3	fcls(hb	fcls(hb	NOUN
ejpam-3440	377	4	)	)	PUNCT
ejpam-3440	377	5	=	=	SYM
ejpam-3440	377	6	hb	hb	PROPN
ejpam-3440	377	7	and	and	CCONJ
ejpam-3440	377	8	fcls(f−1	fcls(f−1	NOUN
ejpam-3440	377	9	pu	pu	PROPN
ejpam-3440	377	10	(	(	PUNCT
ejpam-3440	377	11	hb	hb	PROPN
ejpam-3440	377	12	)	)	PUNCT
ejpam-3440	377	13	)	)	PUNCT
ejpam-3440	378	1	v	v	ADP
ejpam-3440	378	2	f−1	f−1	PROPN
ejpam-3440	378	3	pu	pu	PROPN
ejpam-3440	378	4	(	(	PUNCT
ejpam-3440	378	5	fcls(hb	fcls(hb	NOUN
ejpam-3440	378	6	)	)	PUNCT
ejpam-3440	378	7	)	)	PUNCT
ejpam-3440	379	1	=	=	SYM
ejpam-3440	379	2	f−1	f−1	PROPN
ejpam-3440	379	3	pu	pu	PROPN
ejpam-3440	379	4	(	(	PUNCT
ejpam-3440	379	5	hb	hb	X
ejpam-3440	379	6	)	)	PUNCT
ejpam-3440	379	7	from	from	ADP
ejpam-3440	379	8	(	(	PUNCT
ejpam-3440	379	9	4	4	NUM
ejpam-3440	379	10	)	)	PUNCT
ejpam-3440	379	11	.	.	PUNCT
ejpam-3440	380	1	but	but	CCONJ
ejpam-3440	380	2	,	,	PUNCT
ejpam-3440	380	3	we	we	PRON
ejpam-3440	380	4	have	have	VERB
ejpam-3440	380	5	f−1	f−1	PROPN
ejpam-3440	380	6	pu	pu	PROPN
ejpam-3440	380	7	(	(	PUNCT
ejpam-3440	380	8	hb	hb	X
ejpam-3440	380	9	)	)	PUNCT
ejpam-3440	380	10	v	v	NOUN
ejpam-3440	380	11	fcls(f−1	fcls(f−1	NOUN
ejpam-3440	380	12	pu	pu	PROPN
ejpam-3440	380	13	(	(	PUNCT
ejpam-3440	380	14	hb	hb	PROPN
ejpam-3440	380	15	)	)	PUNCT
ejpam-3440	380	16	)	)	PUNCT
ejpam-3440	380	17	.	.	PUNCT
ejpam-3440	381	1	it	it	PRON
ejpam-3440	381	2	is	be	AUX
ejpam-3440	381	3	follows	follow	VERB
ejpam-3440	381	4	,	,	PUNCT
ejpam-3440	381	5	f−1	f−1	PROPN
ejpam-3440	381	6	pu	pu	PROPN
ejpam-3440	381	7	(	(	PUNCT
ejpam-3440	381	8	hb	hb	X
ejpam-3440	381	9	)	)	PUNCT
ejpam-3440	381	10	=	=	PUNCT
ejpam-3440	382	1	fcls(f−1	fcls(f−1	NOUN
ejpam-3440	382	2	pu	pu	PROPN
ejpam-3440	382	3	(	(	PUNCT
ejpam-3440	382	4	hb	hb	PROPN
ejpam-3440	382	5	)	)	PUNCT
ejpam-3440	382	6	)	)	PUNCT
ejpam-3440	382	7	,	,	PUNCT
ejpam-3440	382	8	and	and	CCONJ
ejpam-3440	382	9	consequently	consequently	ADV
ejpam-3440	382	10	f−1	f−1	PROPN
ejpam-3440	382	11	pu	pu	PROPN
ejpam-3440	382	12	(	(	PUNCT
ejpam-3440	382	13	hb	hb	PROPN
ejpam-3440	382	14	)	)	PUNCT
ejpam-3440	382	15	∈	∈	PROPN
ejpam-3440	382	16	tc	tc	NUM
ejpam-3440	382	17	1	1	NUM
ejpam-3440	382	18	.	.	PUNCT
ejpam-3440	383	1	(	(	PUNCT
ejpam-3440	383	2	1	1	X
ejpam-3440	383	3	)	)	PUNCT
ejpam-3440	383	4	⇒	⇒	NOUN
ejpam-3440	383	5	(	(	PUNCT
ejpam-3440	383	6	5	5	X
ejpam-3440	383	7	)	)	PUNCT
ejpam-3440	383	8	let	let	VERB
ejpam-3440	383	9	hb	hb	X
ejpam-3440	383	10	∈	∈	PROPN
ejpam-3440	383	11	fss(y	fss(y	PROPN
ejpam-3440	383	12	)	)	PUNCT
ejpam-3440	384	1	k	k	PROPN
ejpam-3440	384	2	.	.	PUNCT
ejpam-3440	385	1	since	since	SCONJ
ejpam-3440	385	2	fints(hb	fints(hb	NOUN
ejpam-3440	385	3	)	)	PUNCT
ejpam-3440	385	4	∈	∈	PROPN
ejpam-3440	385	5	t∗2	t∗2	NOUN
ejpam-3440	385	6	,	,	PUNCT
ejpam-3440	385	7	f−1	f−1	PROPN
ejpam-3440	385	8	pu	pu	PROPN
ejpam-3440	385	9	(	(	PUNCT
ejpam-3440	385	10	fints(hb	fints(hb	NOUN
ejpam-3440	385	11	)	)	PUNCT
ejpam-3440	385	12	)	)	PUNCT
ejpam-3440	386	1	∈	∈	PROPN
ejpam-3440	386	2	t1	t1	NOUN
ejpam-3440	386	3	from	from	ADP
ejpam-3440	386	4	(	(	PUNCT
ejpam-3440	386	5	1	1	NUM
ejpam-3440	386	6	)	)	PUNCT
ejpam-3440	386	7	.	.	PUNCT
ejpam-3440	387	1	hence	hence	ADV
ejpam-3440	387	2	,	,	PUNCT
ejpam-3440	387	3	f−1	f−1	PROPN
ejpam-3440	387	4	pu	pu	PROPN
ejpam-3440	387	5	(	(	PUNCT
ejpam-3440	387	6	fints(hb	fints(hb	NOUN
ejpam-3440	387	7	)	)	PUNCT
ejpam-3440	387	8	)	)	PUNCT
ejpam-3440	388	1	=	=	SYM
ejpam-3440	388	2	fints(f−1	fints(f−1	PROPN
ejpam-3440	388	3	pu	pu	PROPN
ejpam-3440	388	4	fint	fint	PROPN
ejpam-3440	388	5	s(hb	s(hb	PROPN
ejpam-3440	388	6	)	)	PUNCT
ejpam-3440	388	7	)	)	PUNCT
ejpam-3440	388	8	v	v	ADP
ejpam-3440	388	9	fints(f−1	fints(f−1	PROPN
ejpam-3440	388	10	pu	pu	PROPN
ejpam-3440	388	11	(	(	PUNCT
ejpam-3440	388	12	hb	hb	PROPN
ejpam-3440	388	13	)	)	PUNCT
ejpam-3440	388	14	)	)	PUNCT
ejpam-3440	388	15	.	.	PUNCT
ejpam-3440	389	1	thus	thus	ADV
ejpam-3440	389	2	,	,	PUNCT
ejpam-3440	389	3	f−1	f−1	PROPN
ejpam-3440	389	4	pu	pu	PROPN
ejpam-3440	389	5	(	(	PUNCT
ejpam-3440	389	6	fints(hb	fints(hb	PROPN
ejpam-3440	389	7	)	)	PUNCT
ejpam-3440	389	8	)	)	PUNCT
ejpam-3440	389	9	v	v	ADP
ejpam-3440	389	10	fints(f−1	fints(f−1	PROPN
ejpam-3440	389	11	pu	pu	PROPN
ejpam-3440	389	12	(	(	PUNCT
ejpam-3440	389	13	hb	hb	PROPN
ejpam-3440	389	14	)	)	PUNCT
ejpam-3440	389	15	)	)	PUNCT
ejpam-3440	389	16	.	.	PUNCT
ejpam-3440	390	1	a.	a.	PROPN
ejpam-3440	390	2	m.	m.	PROPN
ejpam-3440	390	3	abd	abd	PROPN
ejpam-3440	390	4	el	el	PROPN
ejpam-3440	390	5	-	-	PROPN
ejpam-3440	390	6	latif	latif	PROPN
ejpam-3440	390	7	/	/	SYM
ejpam-3440	390	8	eur	eur	PROPN
ejpam-3440	390	9	.	.	PUNCT
ejpam-3440	391	1	j.	j.	PROPN
ejpam-3440	391	2	pure	pure	PROPN
ejpam-3440	391	3	appl	appl	PROPN
ejpam-3440	391	4	.	.	PROPN
ejpam-3440	391	5	math	math	PROPN
ejpam-3440	391	6	,	,	PUNCT
ejpam-3440	391	7	12	12	NUM
ejpam-3440	391	8	(	(	PUNCT
ejpam-3440	391	9	3	3	NUM
ejpam-3440	391	10	)	)	PUNCT
ejpam-3440	391	11	(	(	PUNCT
ejpam-3440	391	12	2019	2019	NUM
ejpam-3440	391	13	)	)	PUNCT
ejpam-3440	391	14	,	,	PUNCT
ejpam-3440	391	15	999	999	NUM
ejpam-3440	391	16	-	-	SYM
ejpam-3440	391	17	1017	1017	NUM
ejpam-3440	391	18	1011	1011	NUM
ejpam-3440	391	19	(	(	PUNCT
ejpam-3440	391	20	5	5	NUM
ejpam-3440	391	21	)	)	PUNCT
ejpam-3440	391	22	⇒	⇒	NOUN
ejpam-3440	391	23	(	(	PUNCT
ejpam-3440	391	24	1	1	X
ejpam-3440	391	25	)	)	PUNCT
ejpam-3440	391	26	let	let	VERB
ejpam-3440	391	27	hb	hb	PROPN
ejpam-3440	391	28	∈	∈	PROPN
ejpam-3440	391	29	t∗2	t∗2	NOUN
ejpam-3440	391	30	.	.	PUNCT
ejpam-3440	392	1	then	then	ADV
ejpam-3440	392	2	fints(hb	fints(hb	NOUN
ejpam-3440	392	3	)	)	PUNCT
ejpam-3440	392	4	=	=	SYM
ejpam-3440	392	5	hb	hb	PROPN
ejpam-3440	392	6	and	and	CCONJ
ejpam-3440	392	7	f−1	f−1	PROPN
ejpam-3440	393	1	pu	pu	PROPN
ejpam-3440	393	2	(	(	PUNCT
ejpam-3440	393	3	fints(hb	fints(hb	NOUN
ejpam-3440	393	4	)	)	PUNCT
ejpam-3440	393	5	)	)	PUNCT
ejpam-3440	394	1	=	=	SYM
ejpam-3440	394	2	f−1	f−1	PROPN
ejpam-3440	394	3	pu	pu	PROPN
ejpam-3440	394	4	(	(	PUNCT
ejpam-3440	394	5	(	(	PUNCT
ejpam-3440	394	6	hb	hb	X
ejpam-3440	394	7	)	)	PUNCT
ejpam-3440	394	8	)	)	PUNCT
ejpam-3440	394	9	v	v	ADP
ejpam-3440	394	10	fints(f−1	fints(f−1	PROPN
ejpam-3440	394	11	pu	pu	PROPN
ejpam-3440	394	12	(	(	PUNCT
ejpam-3440	394	13	hb	hb	PROPN
ejpam-3440	394	14	)	)	PUNCT
ejpam-3440	394	15	)	)	PUNCT
ejpam-3440	394	16	from	from	ADP
ejpam-3440	394	17	(	(	PUNCT
ejpam-3440	394	18	5	5	NUM
ejpam-3440	394	19	)	)	PUNCT
ejpam-3440	394	20	.	.	PUNCT
ejpam-3440	395	1	but	but	CCONJ
ejpam-3440	395	2	,	,	PUNCT
ejpam-3440	395	3	we	we	PRON
ejpam-3440	395	4	have	have	VERB
ejpam-3440	395	5	fints(f−1	fints(f−1	PROPN
ejpam-3440	395	6	pu	pu	PROPN
ejpam-3440	395	7	(	(	PUNCT
ejpam-3440	395	8	hb	hb	PROPN
ejpam-3440	395	9	)	)	PUNCT
ejpam-3440	395	10	)	)	PUNCT
ejpam-3440	396	1	v	v	ADP
ejpam-3440	396	2	f−1	f−1	PROPN
ejpam-3440	396	3	pu	pu	PROPN
ejpam-3440	396	4	(	(	PUNCT
ejpam-3440	396	5	hb	hb	PROPN
ejpam-3440	396	6	)	)	PUNCT
ejpam-3440	396	7	.	.	PUNCT
ejpam-3440	397	1	it	it	PRON
ejpam-3440	397	2	is	be	AUX
ejpam-3440	397	3	follows	follow	VERB
ejpam-3440	397	4	,	,	PUNCT
ejpam-3440	397	5	fints(f−1	fints(f−1	PROPN
ejpam-3440	397	6	pu	pu	PROPN
ejpam-3440	397	7	(	(	PUNCT
ejpam-3440	397	8	hb	hb	PROPN
ejpam-3440	397	9	)	)	PUNCT
ejpam-3440	397	10	)	)	PUNCT
ejpam-3440	398	1	=	=	SYM
ejpam-3440	398	2	f−1	f−1	PROPN
ejpam-3440	398	3	pu	pu	PROPN
ejpam-3440	398	4	(	(	PUNCT
ejpam-3440	398	5	hb	hb	PROPN
ejpam-3440	398	6	)	)	PUNCT
ejpam-3440	398	7	∈	∈	PROPN
ejpam-3440	398	8	t1	t1	NOUN
ejpam-3440	398	9	.	.	PUNCT
ejpam-3440	399	1	hence	hence	ADV
ejpam-3440	399	2	,	,	PUNCT
ejpam-3440	399	3	fpu	fpu	PROPN
ejpam-3440	399	4	is	be	AUX
ejpam-3440	399	5	a	a	DET
ejpam-3440	399	6	fss	fss	ADV
ejpam-3440	399	7	-	-	PUNCT
ejpam-3440	399	8	continuous	continuous	ADJ
ejpam-3440	399	9	.	.	PUNCT
ejpam-3440	400	1	theorem	theorem	NOUN
ejpam-3440	400	2	9	9	NUM
ejpam-3440	400	3	.	.	PUNCT
ejpam-3440	401	1	every	every	DET
ejpam-3440	401	2	fuzzy	fuzzy	ADJ
ejpam-3440	401	3	soft	soft	ADJ
ejpam-3440	401	4	continuous	continuous	ADJ
ejpam-3440	401	5	function	function	NOUN
ejpam-3440	401	6	[	[	X
ejpam-3440	401	7	8	8	NUM
ejpam-3440	401	8	]	]	PUNCT
ejpam-3440	401	9	is	be	AUX
ejpam-3440	401	10	a	a	DET
ejpam-3440	401	11	fss	fss	ADV
ejpam-3440	401	12	-	-	PUNCT
ejpam-3440	401	13	continuous	continuous	ADJ
ejpam-3440	401	14	.	.	PUNCT
ejpam-3440	402	1	proof	proof	NOUN
ejpam-3440	402	2	.	.	PUNCT
ejpam-3440	403	1	immediate	immediate	ADJ
ejpam-3440	403	2	from	from	ADP
ejpam-3440	403	3	definition	definition	NOUN
ejpam-3440	403	4	18	18	NUM
ejpam-3440	403	5	(	(	PUNCT
ejpam-3440	403	6	1	1	NUM
ejpam-3440	403	7	)	)	PUNCT
ejpam-3440	403	8	and	and	CCONJ
ejpam-3440	403	9	definition	definition	NOUN
ejpam-3440	403	10	25	25	NUM
ejpam-3440	403	11	.	.	PUNCT
ejpam-3440	404	1	remarks	remark	VERB
ejpam-3440	404	2	4	4	NUM
ejpam-3440	404	3	.	.	PUNCT
ejpam-3440	405	1	the	the	DET
ejpam-3440	405	2	converse	converse	NOUN
ejpam-3440	405	3	of	of	ADP
ejpam-3440	405	4	theorem	theorem	NOUN
ejpam-3440	405	5	9	9	NUM
ejpam-3440	405	6	is	be	AUX
ejpam-3440	405	7	not	not	PART
ejpam-3440	405	8	true	true	ADJ
ejpam-3440	405	9	in	in	ADP
ejpam-3440	405	10	general	general	ADJ
ejpam-3440	405	11	,	,	PUNCT
ejpam-3440	405	12	as	as	SCONJ
ejpam-3440	405	13	will	will	AUX
ejpam-3440	405	14	shown	show	VERB
ejpam-3440	405	15	in	in	ADP
ejpam-3440	405	16	the	the	DET
ejpam-3440	405	17	following	follow	VERB
ejpam-3440	405	18	example	example	NOUN
ejpam-3440	405	19	.	.	PUNCT
ejpam-3440	406	1	example	example	NOUN
ejpam-3440	406	2	8	8	NUM
ejpam-3440	406	3	.	.	PUNCT
ejpam-3440	407	1	let	let	VERB
ejpam-3440	407	2	x	x	PUNCT
ejpam-3440	407	3	=	=	PRON
ejpam-3440	407	4	{	{	PUNCT
ejpam-3440	407	5	a	a	PRON
ejpam-3440	407	6	,	,	PUNCT
ejpam-3440	407	7	b	b	NOUN
ejpam-3440	407	8	,	,	PUNCT
ejpam-3440	407	9	c	c	NOUN
ejpam-3440	407	10	}	}	PUNCT
ejpam-3440	407	11	,	,	PUNCT
ejpam-3440	407	12	y	y	PROPN
ejpam-3440	407	13	=	=	SYM
ejpam-3440	407	14	{	{	PUNCT
ejpam-3440	407	15	l	l	NOUN
ejpam-3440	407	16	,	,	PUNCT
ejpam-3440	407	17	m	m	PROPN
ejpam-3440	407	18	,	,	PUNCT
ejpam-3440	407	19	n	n	CCONJ
ejpam-3440	407	20	}	}	PUNCT
ejpam-3440	407	21	,	,	PUNCT
ejpam-3440	407	22	e	e	X
ejpam-3440	407	23	=	=	PRON
ejpam-3440	407	24	{	{	PUNCT
ejpam-3440	407	25	e1	e1	PROPN
ejpam-3440	407	26	,	,	PUNCT
ejpam-3440	407	27	e2	e2	PROPN
ejpam-3440	407	28	,	,	PUNCT
ejpam-3440	407	29	e3	e3	NOUN
ejpam-3440	407	30	}	}	PUNCT
ejpam-3440	407	31	and	and	CCONJ
ejpam-3440	407	32	k	k	NOUN
ejpam-3440	407	33	=	=	PUNCT
ejpam-3440	407	34	{	{	PUNCT
ejpam-3440	407	35	k1	k1	PROPN
ejpam-3440	407	36	,	,	PUNCT
ejpam-3440	407	37	k2	k2	NOUN
ejpam-3440	407	38	,	,	PUNCT
ejpam-3440	407	39	k3	k3	VERB
ejpam-3440	407	40	}	}	PUNCT
ejpam-3440	407	41	.	.	PUNCT
ejpam-3440	408	1	define	define	VERB
ejpam-3440	408	2	u	u	NOUN
ejpam-3440	408	3	:	:	PUNCT
ejpam-3440	408	4	x	x	SYM
ejpam-3440	408	5	→	→	SYM
ejpam-3440	408	6	y	y	PROPN
ejpam-3440	408	7	and	and	CCONJ
ejpam-3440	408	8	p	p	X
ejpam-3440	408	9	:	:	PUNCT
ejpam-3440	408	10	a→	a→	PROPN
ejpam-3440	408	11	b	b	NOUN
ejpam-3440	408	12	as	as	SCONJ
ejpam-3440	408	13	follows	follow	VERB
ejpam-3440	408	14	:	:	PUNCT
ejpam-3440	408	15	u(a	u(a	PROPN
ejpam-3440	408	16	)	)	PUNCT
ejpam-3440	408	17	=	=	SYM
ejpam-3440	408	18	{	{	PUNCT
ejpam-3440	408	19	n	n	CCONJ
ejpam-3440	408	20	}	}	PUNCT
ejpam-3440	408	21	,	,	PUNCT
ejpam-3440	408	22	u(b	u(b	NOUN
ejpam-3440	408	23	)	)	PUNCT
ejpam-3440	408	24	=	=	PUNCT
ejpam-3440	408	25	{	{	PUNCT
ejpam-3440	408	26	m	m	NOUN
ejpam-3440	408	27	}	}	PUNCT
ejpam-3440	408	28	,	,	PUNCT
ejpam-3440	408	29	u(c	u(c	PROPN
ejpam-3440	408	30	)	)	PUNCT
ejpam-3440	408	31	=	=	PRON
ejpam-3440	408	32	{	{	PUNCT
ejpam-3440	408	33	m	m	NOUN
ejpam-3440	408	34	}	}	PUNCT
ejpam-3440	408	35	and	and	CCONJ
ejpam-3440	408	36	p(e1	p(e1	NOUN
ejpam-3440	408	37	)	)	PUNCT
ejpam-3440	409	1	=	=	PRON
ejpam-3440	409	2	{	{	PUNCT
ejpam-3440	409	3	k1	k1	NOUN
ejpam-3440	409	4	}	}	PUNCT
ejpam-3440	409	5	,	,	PUNCT
ejpam-3440	409	6	p(e2	p(e2	NOUN
ejpam-3440	409	7	)	)	PUNCT
ejpam-3440	409	8	=	=	SYM
ejpam-3440	409	9	{	{	PUNCT
ejpam-3440	409	10	k1	k1	NOUN
ejpam-3440	409	11	}	}	PUNCT
ejpam-3440	409	12	,	,	PUNCT
ejpam-3440	409	13	p(e3	p(e3	NOUN
ejpam-3440	409	14	)	)	PUNCT
ejpam-3440	409	15	=	=	PRON
ejpam-3440	409	16	{	{	PUNCT
ejpam-3440	409	17	k3	k3	PROPN
ejpam-3440	409	18	}	}	PUNCT
ejpam-3440	409	19	.	.	PUNCT
ejpam-3440	410	1	let	let	AUX
ejpam-3440	410	2	(	(	PUNCT
ejpam-3440	410	3	x	x	X
ejpam-3440	410	4	,	,	PUNCT
ejpam-3440	410	5	t∗1	t∗1	ADJ
ejpam-3440	410	6	,	,	PUNCT
ejpam-3440	410	7	e	e	X
ejpam-3440	410	8	)	)	PUNCT
ejpam-3440	410	9	be	be	AUX
ejpam-3440	410	10	a	a	DET
ejpam-3440	410	11	fuzzy	fuzzy	ADJ
ejpam-3440	410	12	soft	soft	ADJ
ejpam-3440	410	13	topological	topological	ADJ
ejpam-3440	410	14	space	space	NOUN
ejpam-3440	410	15	over	over	ADP
ejpam-3440	410	16	x	x	NOUN
ejpam-3440	410	17	,	,	PUNCT
ejpam-3440	410	18	where	where	SCONJ
ejpam-3440	410	19	t∗1	t∗1	NOUN
ejpam-3440	410	20	=	=	PUNCT
ejpam-3440	410	21	{	{	PUNCT
ejpam-3440	410	22	1̃e	1̃e	NUM
ejpam-3440	410	23	,	,	PUNCT
ejpam-3440	410	24	0̃e	0̃e	PROPN
ejpam-3440	410	25	,	,	PUNCT
ejpam-3440	410	26	fe	fe	X
ejpam-3440	410	27	}	}	PUNCT
ejpam-3440	410	28	,	,	PUNCT
ejpam-3440	410	29	where	where	SCONJ
ejpam-3440	410	30	fe	fe	X
ejpam-3440	410	31	is	be	AUX
ejpam-3440	410	32	a	a	DET
ejpam-3440	410	33	fuzzy	fuzzy	ADJ
ejpam-3440	410	34	soft	soft	ADJ
ejpam-3440	410	35	set	set	NOUN
ejpam-3440	410	36	over	over	ADP
ejpam-3440	410	37	x	x	PUNCT
ejpam-3440	410	38	defined	define	VERB
ejpam-3440	410	39	as	as	SCONJ
ejpam-3440	410	40	follows	follow	VERB
ejpam-3440	410	41	:	:	PUNCT
ejpam-3440	410	42	µe1fe	µe1fe	X
ejpam-3440	410	43	=	=	PUNCT
ejpam-3440	410	44	{	{	PUNCT
ejpam-3440	410	45	a0.1	a0.1	PROPN
ejpam-3440	410	46	,	,	PUNCT
ejpam-3440	410	47	b0.5	b0.5	NOUN
ejpam-3440	410	48	,	,	PUNCT
ejpam-3440	410	49	c0.7	c0.7	NOUN
ejpam-3440	410	50	}	}	PUNCT
ejpam-3440	410	51	,	,	PUNCT
ejpam-3440	410	52	µe2fe	µe2fe	NOUN
ejpam-3440	410	53	=	=	SYM
ejpam-3440	410	54	{	{	PUNCT
ejpam-3440	410	55	a0.2	a0.2	NOUN
ejpam-3440	410	56	,	,	PUNCT
ejpam-3440	410	57	b0.7	b0.7	NUM
ejpam-3440	410	58	,	,	PUNCT
ejpam-3440	410	59	c0.5	c0.5	NOUN
ejpam-3440	410	60	}	}	PUNCT
ejpam-3440	410	61	,	,	PUNCT
ejpam-3440	410	62	µe3fe	µe3fe	PROPN
ejpam-3440	410	63	=	=	SYM
ejpam-3440	410	64	{	{	PUNCT
ejpam-3440	410	65	a0.7	a0.7	PROPN
ejpam-3440	410	66	,	,	PUNCT
ejpam-3440	410	67	b0.4	b0.4	PROPN
ejpam-3440	410	68	,	,	PUNCT
ejpam-3440	410	69	c0.3	c0.3	PROPN
ejpam-3440	410	70	}	}	PUNCT
ejpam-3440	410	71	.	.	PUNCT
ejpam-3440	411	1	consider	consider	VERB
ejpam-3440	411	2	the	the	DET
ejpam-3440	411	3	associated	associate	VERB
ejpam-3440	411	4	fssts	fsst	NOUN
ejpam-3440	411	5	t1	t1	VERB
ejpam-3440	411	6	with	with	ADP
ejpam-3440	411	7	t∗1	t∗1	NOUN
ejpam-3440	411	8	,	,	PUNCT
ejpam-3440	411	9	where	where	SCONJ
ejpam-3440	411	10	t1	t1	NOUN
ejpam-3440	411	11	=	=	PUNCT
ejpam-3440	411	12	{	{	PUNCT
ejpam-3440	411	13	1̃e	1̃e	NUM
ejpam-3440	411	14	,	,	PUNCT
ejpam-3440	411	15	0̃e	0̃e	PROPN
ejpam-3440	411	16	,	,	PUNCT
ejpam-3440	411	17	fe	fe	X
ejpam-3440	411	18	,	,	PUNCT
ejpam-3440	411	19	he	he	PRON
ejpam-3440	411	20	,	,	PUNCT
ejpam-3440	411	21	ke	ke	PROPN
ejpam-3440	411	22	}	}	PUNCT
ejpam-3440	411	23	,	,	PUNCT
ejpam-3440	411	24	where	where	SCONJ
ejpam-3440	411	25	fe	fe	X
ejpam-3440	411	26	,	,	PUNCT
ejpam-3440	411	27	he	he	PRON
ejpam-3440	411	28	,	,	PUNCT
ejpam-3440	411	29	ke	ke	PROPN
ejpam-3440	411	30	are	be	AUX
ejpam-3440	411	31	fuzzy	fuzzy	ADJ
ejpam-3440	411	32	soft	soft	ADJ
ejpam-3440	411	33	sets	set	NOUN
ejpam-3440	411	34	over	over	ADP
ejpam-3440	411	35	x	x	PUNCT
ejpam-3440	411	36	defined	define	VERB
ejpam-3440	411	37	as	as	SCONJ
ejpam-3440	411	38	follows	follow	VERB
ejpam-3440	411	39	:	:	PUNCT
ejpam-3440	411	40	µe1he	µe1he	NUM
ejpam-3440	411	41	=	=	SYM
ejpam-3440	411	42	{	{	PUNCT
ejpam-3440	411	43	a0.2	a0.2	NOUN
ejpam-3440	411	44	,	,	PUNCT
ejpam-3440	411	45	b0.6	b0.6	NOUN
ejpam-3440	411	46	,	,	PUNCT
ejpam-3440	411	47	c0.6	c0.6	NOUN
ejpam-3440	411	48	}	}	PUNCT
ejpam-3440	411	49	,	,	PUNCT
ejpam-3440	411	50	µe2he	µe2he	ADJ
ejpam-3440	411	51	=	=	SYM
ejpam-3440	411	52	{	{	PUNCT
ejpam-3440	411	53	a0.2	a0.2	NOUN
ejpam-3440	411	54	,	,	PUNCT
ejpam-3440	411	55	b0.6	b0.6	NOUN
ejpam-3440	411	56	,	,	PUNCT
ejpam-3440	411	57	c0.6	c0.6	NOUN
ejpam-3440	411	58	}	}	PUNCT
ejpam-3440	411	59	,	,	PUNCT
ejpam-3440	411	60	µe3he	µe3he	X
ejpam-3440	411	61	=	=	SYM
ejpam-3440	411	62	{	{	PUNCT
ejpam-3440	411	63	a0.9	a0.9	PROPN
ejpam-3440	411	64	,	,	PUNCT
ejpam-3440	411	65	b0.1	b0.1	PROPN
ejpam-3440	411	66	,	,	PUNCT
ejpam-3440	411	67	c0.1	c0.1	PROPN
ejpam-3440	411	68	}	}	PUNCT
ejpam-3440	411	69	,	,	PUNCT
ejpam-3440	411	70	µe1ke	µe1ke	PROPN
ejpam-3440	411	71	=	=	SYM
ejpam-3440	411	72	{	{	PUNCT
ejpam-3440	411	73	a0.2	a0.2	NOUN
ejpam-3440	411	74	,	,	PUNCT
ejpam-3440	411	75	b0.6	b0.6	NOUN
ejpam-3440	411	76	,	,	PUNCT
ejpam-3440	411	77	c0.7	c0.7	NOUN
ejpam-3440	411	78	}	}	PUNCT
ejpam-3440	411	79	,	,	PUNCT
ejpam-3440	411	80	µe2ke	µe2ke	X
ejpam-3440	411	81	=	=	SYM
ejpam-3440	411	82	{	{	PUNCT
ejpam-3440	411	83	a0.2	a0.2	NOUN
ejpam-3440	411	84	,	,	PUNCT
ejpam-3440	411	85	b0.7	b0.7	NUM
ejpam-3440	411	86	,	,	PUNCT
ejpam-3440	411	87	c0.5	c0.5	NOUN
ejpam-3440	411	88	}	}	PUNCT
ejpam-3440	411	89	,	,	PUNCT
ejpam-3440	411	90	µe3ke	µe3ke	PROPN
ejpam-3440	411	91	=	=	SYM
ejpam-3440	411	92	{	{	PUNCT
ejpam-3440	411	93	a0.9	a0.9	NOUN
ejpam-3440	411	94	,	,	PUNCT
ejpam-3440	411	95	b0.4	b0.4	PROPN
ejpam-3440	411	96	,	,	PUNCT
ejpam-3440	411	97	c0.3	c0.3	PROPN
ejpam-3440	411	98	}	}	PUNCT
ejpam-3440	411	99	.	.	PUNCT
ejpam-3440	412	1	let	let	VERB
ejpam-3440	412	2	(	(	PUNCT
ejpam-3440	412	3	x	x	NOUN
ejpam-3440	412	4	,	,	PUNCT
ejpam-3440	412	5	t∗2,k	t∗2,k	PROPN
ejpam-3440	412	6	)	)	PUNCT
ejpam-3440	412	7	be	be	VERB
ejpam-3440	412	8	a	a	DET
ejpam-3440	412	9	fuzzy	fuzzy	ADJ
ejpam-3440	412	10	soft	soft	ADJ
ejpam-3440	412	11	topological	topological	ADJ
ejpam-3440	412	12	space	space	NOUN
ejpam-3440	412	13	over	over	ADP
ejpam-3440	412	14	y	y	PROPN
ejpam-3440	412	15	,	,	PUNCT
ejpam-3440	412	16	where	where	SCONJ
ejpam-3440	412	17	t∗2	t∗2	NOUN
ejpam-3440	412	18	=	=	SYM
ejpam-3440	412	19	{	{	PUNCT
ejpam-3440	412	20	1̃k	1̃k	PROPN
ejpam-3440	412	21	,	,	PUNCT
ejpam-3440	412	22	0̃k	0̃k	NOUN
ejpam-3440	412	23	,	,	PUNCT
ejpam-3440	412	24	gk	gk	PROPN
ejpam-3440	412	25	}	}	PUNCT
ejpam-3440	412	26	,	,	PUNCT
ejpam-3440	412	27	where	where	SCONJ
ejpam-3440	412	28	gk	gk	PROPN
ejpam-3440	412	29	is	be	AUX
ejpam-3440	412	30	a	a	DET
ejpam-3440	412	31	fuzzy	fuzzy	ADJ
ejpam-3440	412	32	soft	soft	ADJ
ejpam-3440	412	33	set	set	NOUN
ejpam-3440	412	34	over	over	ADP
ejpam-3440	412	35	y	y	PROPN
ejpam-3440	412	36	defined	define	VERB
ejpam-3440	412	37	by	by	ADP
ejpam-3440	412	38	:	:	PUNCT
ejpam-3440	412	39	µk1gk	µk1gk	PROPN
ejpam-3440	412	40	=	=	SYM
ejpam-3440	412	41	{	{	PUNCT
ejpam-3440	412	42	a0.5	a0.5	VERB
ejpam-3440	412	43	,	,	PUNCT
ejpam-3440	412	44	b0.6	b0.6	NOUN
ejpam-3440	412	45	,	,	PUNCT
ejpam-3440	412	46	c0.2	c0.2	PROPN
ejpam-3440	412	47	}	}	PUNCT
ejpam-3440	412	48	,	,	PUNCT
ejpam-3440	412	49	µk2gk	µk2gk	PROPN
ejpam-3440	412	50	=	=	PRON
ejpam-3440	412	51	{	{	PUNCT
ejpam-3440	412	52	a0.8	a0.8	PROPN
ejpam-3440	412	53	,	,	PUNCT
ejpam-3440	412	54	b0.3	b0.3	X
ejpam-3440	412	55	,	,	PUNCT
ejpam-3440	412	56	c0.4	c0.4	NOUN
ejpam-3440	412	57	}	}	PUNCT
ejpam-3440	412	58	,	,	PUNCT
ejpam-3440	412	59	µk3gk	µk3gk	NUM
ejpam-3440	412	60	=	=	SYM
ejpam-3440	412	61	{	{	PUNCT
ejpam-3440	412	62	a0.7	a0.7	PROPN
ejpam-3440	412	63	,	,	PUNCT
ejpam-3440	412	64	b0.1	b0.1	PROPN
ejpam-3440	412	65	,	,	PUNCT
ejpam-3440	412	66	c0.9	c0.9	NOUN
ejpam-3440	412	67	}	}	PUNCT
ejpam-3440	412	68	.	.	PUNCT
ejpam-3440	413	1	let	let	AUX
ejpam-3440	413	2	fpu	fpu	VERB
ejpam-3440	413	3	:	:	PUNCT
ejpam-3440	413	4	(	(	PUNCT
ejpam-3440	413	5	x	x	X
ejpam-3440	413	6	,	,	PUNCT
ejpam-3440	413	7	t∗1	t∗1	ADJ
ejpam-3440	413	8	,	,	PUNCT
ejpam-3440	413	9	e	e	NOUN
ejpam-3440	413	10	)	)	PUNCT
ejpam-3440	413	11	→	→	SYM
ejpam-3440	413	12	(	(	PUNCT
ejpam-3440	413	13	y	y	PROPN
ejpam-3440	413	14	,	,	PUNCT
ejpam-3440	413	15	t∗2,k	t∗2,k	PROPN
ejpam-3440	413	16	)	)	PUNCT
ejpam-3440	413	17	be	be	AUX
ejpam-3440	413	18	a	a	DET
ejpam-3440	413	19	soft	soft	ADJ
ejpam-3440	413	20	function	function	NOUN
ejpam-3440	413	21	.	.	PUNCT
ejpam-3440	414	1	next	next	ADV
ejpam-3440	414	2	,	,	PUNCT
ejpam-3440	414	3	for	for	ADP
ejpam-3440	414	4	p(ei	p(ei	NOUN
ejpam-3440	414	5	)	)	PUNCT
ejpam-3440	414	6	∈	∈	PROPN
ejpam-3440	415	1	k	k	NOUN
ejpam-3440	415	2	,	,	PUNCT
ejpam-3440	415	3	i	i	PRON
ejpam-3440	415	4	=	=	NOUN
ejpam-3440	415	5	1	1	NUM
ejpam-3440	415	6	,	,	PUNCT
ejpam-3440	415	7	2	2	NUM
ejpam-3440	415	8	,	,	PUNCT
ejpam-3440	415	9	3	3	NUM
ejpam-3440	415	10	we	we	PRON
ejpam-3440	415	11	calculate	calculate	VERB
ejpam-3440	415	12	f−1	f−1	PROPN
ejpam-3440	415	13	pu	pu	PROPN
ejpam-3440	415	14	(	(	PUNCT
ejpam-3440	415	15	gk	gk	PROPN
ejpam-3440	415	16	)	)	PUNCT
ejpam-3440	415	17	as	as	SCONJ
ejpam-3440	415	18	follows	follow	VERB
ejpam-3440	415	19	:	:	PUNCT
ejpam-3440	415	20	f−1	f−1	PROPN
ejpam-3440	415	21	pu	pu	PROPN
ejpam-3440	415	22	(	(	PUNCT
ejpam-3440	415	23	gk)(e1)(a	gk)(e1)(a	PROPN
ejpam-3440	415	24	)	)	PUNCT
ejpam-3440	415	25	=	=	SYM
ejpam-3440	415	26	gk(p(e1))(u(a	gk(p(e1))(u(a	PROPN
ejpam-3440	415	27	)	)	PUNCT
ejpam-3440	415	28	)	)	PUNCT
ejpam-3440	415	29	=	=	SYM
ejpam-3440	415	30	gk(k1)(n	gk(k1)(n	PROPN
ejpam-3440	415	31	)	)	PUNCT
ejpam-3440	415	32	=	=	PUNCT
ejpam-3440	415	33	(	(	PUNCT
ejpam-3440	415	34	{	{	PUNCT
ejpam-3440	415	35	a0.5	a0.5	VERB
ejpam-3440	415	36	,	,	PUNCT
ejpam-3440	415	37	b0.6	b0.6	NOUN
ejpam-3440	415	38	,	,	PUNCT
ejpam-3440	415	39	c0.2})(n	c0.2})(n	PROPN
ejpam-3440	415	40	)	)	PUNCT
ejpam-3440	415	41	=	=	NOUN
ejpam-3440	415	42	0.2	0.2	NUM
ejpam-3440	415	43	,	,	PUNCT
ejpam-3440	415	44	f−1	f−1	PROPN
ejpam-3440	415	45	pu	pu	PROPN
ejpam-3440	415	46	(	(	PUNCT
ejpam-3440	415	47	gk)(e1)(b	gk)(e1)(b	PROPN
ejpam-3440	415	48	)	)	PUNCT
ejpam-3440	415	49	=	=	PUNCT
ejpam-3440	415	50	gk(p(e1))(u(b	gk(p(e1))(u(b	NOUN
ejpam-3440	415	51	)	)	PUNCT
ejpam-3440	415	52	)	)	PUNCT
ejpam-3440	416	1	=	=	PUNCT
ejpam-3440	416	2	gk(k1)(m	gk(k1)(m	PROPN
ejpam-3440	416	3	)	)	PUNCT
ejpam-3440	416	4	=	=	SYM
ejpam-3440	416	5	(	(	PUNCT
ejpam-3440	416	6	{	{	PUNCT
ejpam-3440	416	7	a0.5	a0.5	VERB
ejpam-3440	416	8	,	,	PUNCT
ejpam-3440	416	9	b0.6	b0.6	NOUN
ejpam-3440	416	10	,	,	PUNCT
ejpam-3440	416	11	c0.2})(m	c0.2})(m	NUM
ejpam-3440	416	12	)	)	PUNCT
ejpam-3440	416	13	=	=	SYM
ejpam-3440	416	14	0.6	0.6	NUM
ejpam-3440	416	15	,	,	PUNCT
ejpam-3440	416	16	f−1	f−1	PROPN
ejpam-3440	416	17	pu	pu	PROPN
ejpam-3440	416	18	(	(	PUNCT
ejpam-3440	416	19	gk)(e1)(c	gk)(e1)(c	PUNCT
ejpam-3440	416	20	)	)	PUNCT
ejpam-3440	416	21	=	=	SYM
ejpam-3440	416	22	gk(p(e1))(u(c	gk(p(e1))(u(c	PROPN
ejpam-3440	416	23	)	)	PUNCT
ejpam-3440	416	24	)	)	PUNCT
ejpam-3440	417	1	=	=	PUNCT
ejpam-3440	417	2	gk(k1)(m	gk(k1)(m	PROPN
ejpam-3440	417	3	)	)	PUNCT
ejpam-3440	417	4	=	=	SYM
ejpam-3440	417	5	(	(	PUNCT
ejpam-3440	417	6	{	{	PUNCT
ejpam-3440	417	7	a0.5	a0.5	VERB
ejpam-3440	417	8	,	,	PUNCT
ejpam-3440	417	9	b0.6	b0.6	NOUN
ejpam-3440	417	10	,	,	PUNCT
ejpam-3440	417	11	c0.2})(m	c0.2})(m	NUM
ejpam-3440	417	12	)	)	PUNCT
ejpam-3440	417	13	=	=	SYM
ejpam-3440	417	14	0.6	0.6	NUM
ejpam-3440	417	15	,	,	PUNCT
ejpam-3440	417	16	f−1	f−1	PROPN
ejpam-3440	417	17	pu	pu	PROPN
ejpam-3440	417	18	(	(	PUNCT
ejpam-3440	417	19	gk)(e2)(a	gk)(e2)(a	PROPN
ejpam-3440	417	20	)	)	PUNCT
ejpam-3440	417	21	=	=	SYM
ejpam-3440	417	22	gk(p(e2))(u(a	gk(p(e2))(u(a	NOUN
ejpam-3440	417	23	)	)	PUNCT
ejpam-3440	417	24	)	)	PUNCT
ejpam-3440	417	25	=	=	SYM
ejpam-3440	417	26	gk(k1)(n	gk(k1)(n	PROPN
ejpam-3440	417	27	)	)	PUNCT
ejpam-3440	417	28	=	=	PUNCT
ejpam-3440	417	29	(	(	PUNCT
ejpam-3440	417	30	{	{	PUNCT
ejpam-3440	417	31	a0.5	a0.5	VERB
ejpam-3440	417	32	,	,	PUNCT
ejpam-3440	417	33	b0.6	b0.6	NOUN
ejpam-3440	417	34	,	,	PUNCT
ejpam-3440	417	35	c0.2})(n	c0.2})(n	PROPN
ejpam-3440	417	36	)	)	PUNCT
ejpam-3440	417	37	=	=	NOUN
ejpam-3440	417	38	0.2	0.2	NUM
ejpam-3440	417	39	,	,	PUNCT
ejpam-3440	417	40	f−1	f−1	PROPN
ejpam-3440	417	41	pu	pu	PROPN
ejpam-3440	417	42	(	(	PUNCT
ejpam-3440	417	43	gk)(e2)(b	gk)(e2)(b	PROPN
ejpam-3440	417	44	)	)	PUNCT
ejpam-3440	417	45	=	=	SYM
ejpam-3440	417	46	gk(p(e2))(u(b	gk(p(e2))(u(b	PROPN
ejpam-3440	417	47	)	)	PUNCT
ejpam-3440	417	48	)	)	PUNCT
ejpam-3440	417	49	=	=	PUNCT
ejpam-3440	418	1	gk(k1)(m	gk(k1)(m	PROPN
ejpam-3440	418	2	)	)	PUNCT
ejpam-3440	418	3	=	=	SYM
ejpam-3440	418	4	(	(	PUNCT
ejpam-3440	418	5	{	{	PUNCT
ejpam-3440	418	6	a0.5	a0.5	VERB
ejpam-3440	418	7	,	,	PUNCT
ejpam-3440	418	8	b0.6	b0.6	NOUN
ejpam-3440	418	9	,	,	PUNCT
ejpam-3440	418	10	c0.2})(m	c0.2})(m	NUM
ejpam-3440	418	11	)	)	PUNCT
ejpam-3440	418	12	=	=	SYM
ejpam-3440	418	13	0.6	0.6	NUM
ejpam-3440	418	14	,	,	PUNCT
ejpam-3440	418	15	f−1	f−1	PROPN
ejpam-3440	418	16	pu	pu	PROPN
ejpam-3440	418	17	(	(	PUNCT
ejpam-3440	418	18	gk)(e2)(c	gk)(e2)(c	X
ejpam-3440	418	19	)	)	PUNCT
ejpam-3440	418	20	=	=	SYM
ejpam-3440	418	21	gk(p(e2))(u(c	gk(p(e2))(u(c	PROPN
ejpam-3440	418	22	)	)	PUNCT
ejpam-3440	418	23	)	)	PUNCT
ejpam-3440	419	1	=	=	PUNCT
ejpam-3440	419	2	gk(k1)(m	gk(k1)(m	PROPN
ejpam-3440	419	3	)	)	PUNCT
ejpam-3440	419	4	=	=	SYM
ejpam-3440	419	5	(	(	PUNCT
ejpam-3440	419	6	{	{	PUNCT
ejpam-3440	419	7	a0.5	a0.5	VERB
ejpam-3440	419	8	,	,	PUNCT
ejpam-3440	419	9	b0.6	b0.6	NOUN
ejpam-3440	419	10	,	,	PUNCT
ejpam-3440	419	11	c0.2})(m	c0.2})(m	NUM
ejpam-3440	419	12	)	)	PUNCT
ejpam-3440	419	13	=	=	SYM
ejpam-3440	419	14	0.6	0.6	NUM
ejpam-3440	419	15	,	,	PUNCT
ejpam-3440	419	16	f−1	f−1	PROPN
ejpam-3440	419	17	pu	pu	PROPN
ejpam-3440	419	18	(	(	PUNCT
ejpam-3440	419	19	gk)(e3)(a	gk)(e3)(a	PROPN
ejpam-3440	419	20	)	)	PUNCT
ejpam-3440	419	21	=	=	SYM
ejpam-3440	420	1	gk(p(e3))(u(a	gk(p(e3))(u(a	PROPN
ejpam-3440	420	2	)	)	PUNCT
ejpam-3440	420	3	)	)	PUNCT
ejpam-3440	421	1	=	=	PUNCT
ejpam-3440	421	2	gk(k3)(n	gk(k3)(n	PROPN
ejpam-3440	421	3	)	)	PUNCT
ejpam-3440	421	4	=	=	SYM
ejpam-3440	421	5	(	(	PUNCT
ejpam-3440	421	6	{	{	PUNCT
ejpam-3440	421	7	a0.9	a0.9	NOUN
ejpam-3440	421	8	,	,	PUNCT
ejpam-3440	421	9	b0.1	b0.1	PROPN
ejpam-3440	421	10	,	,	PUNCT
ejpam-3440	421	11	c0.1)(n	c0.1)(n	NOUN
ejpam-3440	421	12	)	)	PUNCT
ejpam-3440	421	13	=	=	SYM
ejpam-3440	421	14	0.9	0.9	NUM
ejpam-3440	421	15	,	,	PUNCT
ejpam-3440	421	16	f−1	f−1	PROPN
ejpam-3440	421	17	pu	pu	PROPN
ejpam-3440	421	18	(	(	PUNCT
ejpam-3440	421	19	gk)(e3)(b	gk)(e3)(b	PROPN
ejpam-3440	421	20	)	)	PUNCT
ejpam-3440	421	21	=	=	PUNCT
ejpam-3440	421	22	gk(p(e3))(u(b	gk(p(e3))(u(b	NOUN
ejpam-3440	421	23	)	)	PUNCT
ejpam-3440	421	24	)	)	PUNCT
ejpam-3440	422	1	=	=	SYM
ejpam-3440	422	2	gk(k3)(m	gk(k3)(m	PROPN
ejpam-3440	422	3	)	)	PUNCT
ejpam-3440	422	4	=	=	SYM
ejpam-3440	422	5	(	(	PUNCT
ejpam-3440	422	6	{	{	PUNCT
ejpam-3440	422	7	a0.9	a0.9	NOUN
ejpam-3440	422	8	,	,	PUNCT
ejpam-3440	422	9	b0.1	b0.1	PROPN
ejpam-3440	422	10	,	,	PUNCT
ejpam-3440	422	11	c0.1)(m	c0.1)(m	VERB
ejpam-3440	422	12	)	)	PUNCT
ejpam-3440	422	13	=	=	SYM
ejpam-3440	422	14	0.1	0.1	NUM
ejpam-3440	422	15	,	,	PUNCT
ejpam-3440	422	16	f−1	f−1	PROPN
ejpam-3440	422	17	pu	pu	PROPN
ejpam-3440	422	18	(	(	PUNCT
ejpam-3440	422	19	gk)(e3)(c	gk)(e3)(c	PROPN
ejpam-3440	422	20	)	)	PUNCT
ejpam-3440	422	21	=	=	SYM
ejpam-3440	422	22	gk(p(e3))(u(c	gk(p(e3))(u(c	PROPN
ejpam-3440	422	23	)	)	PUNCT
ejpam-3440	422	24	)	)	PUNCT
ejpam-3440	423	1	=	=	SYM
ejpam-3440	423	2	gk(k3)(m	gk(k3)(m	PROPN
ejpam-3440	423	3	)	)	PUNCT
ejpam-3440	423	4	=	=	SYM
ejpam-3440	423	5	(	(	PUNCT
ejpam-3440	423	6	{	{	PUNCT
ejpam-3440	423	7	a0.9	a0.9	NOUN
ejpam-3440	423	8	,	,	PUNCT
ejpam-3440	423	9	b0.1	b0.1	PROPN
ejpam-3440	423	10	,	,	PUNCT
ejpam-3440	423	11	c0.1)(m	c0.1)(m	VERB
ejpam-3440	423	12	)	)	PUNCT
ejpam-3440	423	13	=	=	SYM
ejpam-3440	423	14	0.1	0.1	NUM
ejpam-3440	423	15	.	.	PUNCT
ejpam-3440	424	1	hence	hence	ADV
ejpam-3440	424	2	,	,	PUNCT
ejpam-3440	424	3	f−1	f−1	PROPN
ejpam-3440	424	4	pu	pu	PROPN
ejpam-3440	424	5	(	(	PUNCT
ejpam-3440	424	6	gk	gk	PROPN
ejpam-3440	424	7	)	)	PUNCT
ejpam-3440	424	8	=	=	PRON
ejpam-3440	424	9	{	{	PUNCT
ejpam-3440	424	10	(	(	PUNCT
ejpam-3440	424	11	e1	e1	NOUN
ejpam-3440	424	12	,	,	PUNCT
ejpam-3440	424	13	{	{	PUNCT
ejpam-3440	424	14	a0.2	a0.2	NOUN
ejpam-3440	424	15	,	,	PUNCT
ejpam-3440	424	16	b0.6	b0.6	NOUN
ejpam-3440	424	17	,	,	PUNCT
ejpam-3440	424	18	c0.6	c0.6	NOUN
ejpam-3440	424	19	}	}	PUNCT
ejpam-3440	424	20	)	)	PUNCT
ejpam-3440	424	21	,	,	PUNCT
ejpam-3440	424	22	(	(	PUNCT
ejpam-3440	424	23	e2	e2	PROPN
ejpam-3440	424	24	,	,	PUNCT
ejpam-3440	424	25	{	{	PUNCT
ejpam-3440	424	26	a0.2	a0.2	NOUN
ejpam-3440	424	27	,	,	PUNCT
ejpam-3440	424	28	b0.6	b0.6	NOUN
ejpam-3440	424	29	,	,	PUNCT
ejpam-3440	424	30	c0.6	c0.6	NOUN
ejpam-3440	424	31	}	}	PUNCT
ejpam-3440	424	32	)	)	PUNCT
ejpam-3440	424	33	,	,	PUNCT
ejpam-3440	424	34	(	(	PUNCT
ejpam-3440	424	35	e3	e3	NOUN
ejpam-3440	424	36	,	,	PUNCT
ejpam-3440	424	37	{	{	PUNCT
ejpam-3440	424	38	a0.9	a0.9	NOUN
ejpam-3440	424	39	,	,	PUNCT
ejpam-3440	424	40	b0.1	b0.1	PROPN
ejpam-3440	424	41	,	,	PUNCT
ejpam-3440	424	42	c0.1	c0.1	NOUN
ejpam-3440	424	43	)	)	PUNCT
ejpam-3440	424	44	}	}	PUNCT
ejpam-3440	424	45	.	.	PUNCT
ejpam-3440	425	1	it	it	PRON
ejpam-3440	425	2	is	be	AUX
ejpam-3440	425	3	follows	follow	VERB
ejpam-3440	425	4	,	,	PUNCT
ejpam-3440	425	5	f−1	f−1	PROPN
ejpam-3440	425	6	pu	pu	PROPN
ejpam-3440	425	7	(	(	PUNCT
ejpam-3440	425	8	gk	gk	PROPN
ejpam-3440	425	9	)	)	PUNCT
ejpam-3440	425	10	∈	∈	PROPN
ejpam-3440	425	11	t1	t1	NOUN
ejpam-3440	425	12	and	and	CCONJ
ejpam-3440	425	13	f−1	f−1	PROPN
ejpam-3440	425	14	pu	pu	PROPN
ejpam-3440	425	15	(	(	PUNCT
ejpam-3440	425	16	gk	gk	PROPN
ejpam-3440	425	17	)	)	PUNCT
ejpam-3440	425	18	6∈	6∈	PROPN
ejpam-3440	425	19	t∗1	t∗1	NOUN
ejpam-3440	425	20	.	.	PUNCT
ejpam-3440	426	1	therefore	therefore	ADV
ejpam-3440	426	2	,	,	PUNCT
ejpam-3440	426	3	fpu	fpu	PROPN
ejpam-3440	426	4	is	be	AUX
ejpam-3440	426	5	a	a	DET
ejpam-3440	426	6	fss	fss	ADV
ejpam-3440	426	7	-	-	PUNCT
ejpam-3440	426	8	continuous	continuous	ADJ
ejpam-3440	426	9	but	but	CCONJ
ejpam-3440	426	10	not	not	PART
ejpam-3440	426	11	fuzzy	fuzzy	ADJ
ejpam-3440	426	12	soft	soft	ADJ
ejpam-3440	426	13	continuous	continuous	ADJ
ejpam-3440	426	14	.	.	PUNCT
ejpam-3440	427	1	definition	definition	NOUN
ejpam-3440	427	2	26	26	NUM
ejpam-3440	427	3	.	.	PUNCT
ejpam-3440	428	1	let	let	VERB
ejpam-3440	428	2	(	(	PUNCT
ejpam-3440	428	3	x	x	X
ejpam-3440	428	4	,	,	PUNCT
ejpam-3440	428	5	t∗1	t∗1	ADJ
ejpam-3440	428	6	,	,	PUNCT
ejpam-3440	428	7	e	e	NOUN
ejpam-3440	428	8	)	)	PUNCT
ejpam-3440	428	9	,	,	PUNCT
ejpam-3440	428	10	(	(	PUNCT
ejpam-3440	428	11	y	y	NOUN
ejpam-3440	428	12	,	,	PUNCT
ejpam-3440	428	13	t∗2,k	t∗2,k	PROPN
ejpam-3440	428	14	)	)	PUNCT
ejpam-3440	428	15	be	be	VERB
ejpam-3440	428	16	two	two	NUM
ejpam-3440	428	17	fuzzy	fuzzy	ADJ
ejpam-3440	428	18	soft	soft	ADJ
ejpam-3440	428	19	topological	topological	ADJ
ejpam-3440	428	20	spaces	space	NOUN
ejpam-3440	428	21	,	,	PUNCT
ejpam-3440	428	22	t2	t2	PROPN
ejpam-3440	428	23	be	be	VERB
ejpam-3440	428	24	an	an	DET
ejpam-3440	428	25	associated	associate	VERB
ejpam-3440	428	26	fssts	fsst	NOUN
ejpam-3440	428	27	with	with	ADP
ejpam-3440	428	28	t∗2	t∗2	NOUN
ejpam-3440	428	29	and	and	CCONJ
ejpam-3440	428	30	fpu	fpu	PROPN
ejpam-3440	428	31	:	:	PUNCT
ejpam-3440	428	32	fss(x)e	fss(x)e	ADJ
ejpam-3440	428	33	→	→	SYM
ejpam-3440	428	34	fss(y	fss(y	PROPN
ejpam-3440	428	35	)	)	PUNCT
ejpam-3440	428	36	k	k	X
ejpam-3440	428	37	be	be	AUX
ejpam-3440	428	38	a	a	DET
ejpam-3440	428	39	soft	soft	ADJ
ejpam-3440	428	40	function	function	NOUN
ejpam-3440	428	41	.	.	PUNCT
ejpam-3440	429	1	then	then	ADV
ejpam-3440	429	2	,	,	PUNCT
ejpam-3440	429	3	(	(	PUNCT
ejpam-3440	429	4	1	1	X
ejpam-3440	429	5	)	)	PUNCT
ejpam-3440	429	6	fpu	fpu	PROPN
ejpam-3440	429	7	is	be	AUX
ejpam-3440	429	8	called	call	VERB
ejpam-3440	429	9	fuzzy	fuzzy	ADJ
ejpam-3440	429	10	supra	supra	PROPN
ejpam-3440	429	11	open	open	ADJ
ejpam-3440	429	12	soft	soft	ADJ
ejpam-3440	429	13	if	if	SCONJ
ejpam-3440	429	14	fpu(ge	fpu(ge	NUM
ejpam-3440	429	15	)	)	PUNCT
ejpam-3440	429	16	∈	∈	PROPN
ejpam-3440	429	17	t2	t2	NOUN
ejpam-3440	429	18	∀	∀	X
ejpam-3440	429	19	ge	ge	PROPN
ejpam-3440	429	20	∈	∈	PROPN
ejpam-3440	429	21	t∗1	t∗1	PROPN
ejpam-3440	429	22	.	.	PUNCT
ejpam-3440	430	1	a.	a.	PROPN
ejpam-3440	430	2	m.	m.	PROPN
ejpam-3440	430	3	abd	abd	PROPN
ejpam-3440	430	4	el	el	PROPN
ejpam-3440	430	5	-	-	PROPN
ejpam-3440	430	6	latif	latif	PROPN
ejpam-3440	430	7	/	/	SYM
ejpam-3440	430	8	eur	eur	PROPN
ejpam-3440	430	9	.	.	PUNCT
ejpam-3440	431	1	j.	j.	PROPN
ejpam-3440	431	2	pure	pure	PROPN
ejpam-3440	431	3	appl	appl	PROPN
ejpam-3440	431	4	.	.	PROPN
ejpam-3440	431	5	math	math	PROPN
ejpam-3440	431	6	,	,	PUNCT
ejpam-3440	431	7	12	12	NUM
ejpam-3440	431	8	(	(	PUNCT
ejpam-3440	431	9	3	3	NUM
ejpam-3440	431	10	)	)	PUNCT
ejpam-3440	431	11	(	(	PUNCT
ejpam-3440	431	12	2019	2019	NUM
ejpam-3440	431	13	)	)	PUNCT
ejpam-3440	431	14	,	,	PUNCT
ejpam-3440	431	15	999	999	NUM
ejpam-3440	431	16	-	-	SYM
ejpam-3440	431	17	1017	1017	NUM
ejpam-3440	431	18	1012	1012	NUM
ejpam-3440	431	19	(	(	PUNCT
ejpam-3440	431	20	2	2	NUM
ejpam-3440	431	21	)	)	PUNCT
ejpam-3440	431	22	fpu	fpu	NOUN
ejpam-3440	431	23	is	be	AUX
ejpam-3440	431	24	called	call	VERB
ejpam-3440	431	25	fuzzy	fuzzy	ADJ
ejpam-3440	431	26	supra	supra	PROPN
ejpam-3440	431	27	closed	close	VERB
ejpam-3440	431	28	soft	soft	ADJ
ejpam-3440	431	29	if	if	SCONJ
ejpam-3440	431	30	fpu(ge	fpu(ge	NUM
ejpam-3440	431	31	)	)	PUNCT
ejpam-3440	431	32	∈	∈	PROPN
ejpam-3440	431	33	tc	tc	NUM
ejpam-3440	431	34	2	2	NUM
ejpam-3440	431	35	∀	∀	X
ejpam-3440	431	36	ge	ge	PROPN
ejpam-3440	431	37	∈	∈	PROPN
ejpam-3440	431	38	t∗c1	t∗c1	PROPN
ejpam-3440	431	39	.	.	PUNCT
ejpam-3440	432	1	theorem	theorem	VERB
ejpam-3440	432	2	10	10	NUM
ejpam-3440	432	3	.	.	PUNCT
ejpam-3440	433	1	every	every	PRON
ejpam-3440	433	2	fuzzy	fuzzy	ADJ
ejpam-3440	433	3	open	open	ADJ
ejpam-3440	433	4	(	(	PUNCT
ejpam-3440	433	5	resp	resp	NOUN
ejpam-3440	433	6	.	.	PUNCT
ejpam-3440	434	1	closed	closed	ADJ
ejpam-3440	434	2	)	)	PUNCT
ejpam-3440	434	3	soft	soft	ADJ
ejpam-3440	434	4	function	function	NOUN
ejpam-3440	434	5	[	[	X
ejpam-3440	434	6	15	15	NUM
ejpam-3440	434	7	]	]	PUNCT
ejpam-3440	434	8	is	be	AUX
ejpam-3440	434	9	a	a	DET
ejpam-3440	434	10	fuzzy	fuzzy	ADJ
ejpam-3440	434	11	supra	supra	NOUN
ejpam-3440	434	12	open	open	ADJ
ejpam-3440	434	13	(	(	PUNCT
ejpam-3440	434	14	resp	resp	NOUN
ejpam-3440	434	15	.	.	PUNCT
ejpam-3440	435	1	closed	closed	ADJ
ejpam-3440	435	2	)	)	PUNCT
ejpam-3440	435	3	soft	soft	ADJ
ejpam-3440	435	4	.	.	PUNCT
ejpam-3440	436	1	proof	proof	NOUN
ejpam-3440	436	2	.	.	PUNCT
ejpam-3440	437	1	immediate	immediate	ADJ
ejpam-3440	437	2	from	from	ADP
ejpam-3440	437	3	definition	definition	NOUN
ejpam-3440	437	4	25	25	NUM
ejpam-3440	437	5	(	(	PUNCT
ejpam-3440	437	6	2	2	NUM
ejpam-3440	437	7	)	)	PUNCT
ejpam-3440	437	8	,	,	PUNCT
ejpam-3440	437	9	(	(	PUNCT
ejpam-3440	437	10	3	3	X
ejpam-3440	437	11	)	)	PUNCT
ejpam-3440	437	12	and	and	CCONJ
ejpam-3440	437	13	definition	definition	NOUN
ejpam-3440	437	14	26	26	NUM
ejpam-3440	437	15	.	.	PUNCT
ejpam-3440	438	1	remarks	remark	VERB
ejpam-3440	438	2	5	5	NUM
ejpam-3440	438	3	.	.	PUNCT
ejpam-3440	439	1	the	the	DET
ejpam-3440	439	2	converse	converse	NOUN
ejpam-3440	439	3	of	of	ADP
ejpam-3440	439	4	theorem	theorem	NOUN
ejpam-3440	439	5	10	10	NUM
ejpam-3440	439	6	is	be	AUX
ejpam-3440	439	7	not	not	PART
ejpam-3440	439	8	true	true	ADJ
ejpam-3440	439	9	in	in	ADP
ejpam-3440	439	10	general	general	ADJ
ejpam-3440	439	11	,	,	PUNCT
ejpam-3440	439	12	as	as	SCONJ
ejpam-3440	439	13	will	will	AUX
ejpam-3440	439	14	shown	show	VERB
ejpam-3440	439	15	in	in	ADP
ejpam-3440	439	16	the	the	DET
ejpam-3440	439	17	following	follow	VERB
ejpam-3440	439	18	example	example	NOUN
ejpam-3440	439	19	.	.	PUNCT
ejpam-3440	440	1	example	example	NOUN
ejpam-3440	441	1	9	9	NUM
ejpam-3440	441	2	.	.	PUNCT
ejpam-3440	442	1	in	in	ADP
ejpam-3440	442	2	example	example	NOUN
ejpam-3440	442	3	8	8	NUM
ejpam-3440	442	4	,	,	PUNCT
ejpam-3440	442	5	let	let	VERB
ejpam-3440	442	6	(	(	PUNCT
ejpam-3440	442	7	x	x	X
ejpam-3440	442	8	,	,	PUNCT
ejpam-3440	442	9	t∗1	t∗1	ADJ
ejpam-3440	442	10	,	,	PUNCT
ejpam-3440	442	11	e	e	X
ejpam-3440	442	12	)	)	PUNCT
ejpam-3440	442	13	be	be	AUX
ejpam-3440	442	14	a	a	DET
ejpam-3440	442	15	fuzzy	fuzzy	ADJ
ejpam-3440	442	16	soft	soft	ADJ
ejpam-3440	442	17	topological	topological	ADJ
ejpam-3440	442	18	space	space	NOUN
ejpam-3440	442	19	over	over	ADP
ejpam-3440	442	20	x	x	SYM
ejpam-3440	442	21	where	where	SCONJ
ejpam-3440	442	22	,	,	PUNCT
ejpam-3440	442	23	t∗1	t∗1	NOUN
ejpam-3440	442	24	=	=	PUNCT
ejpam-3440	443	1	{	{	PUNCT
ejpam-3440	443	2	1̃e	1̃e	NUM
ejpam-3440	443	3	,	,	PUNCT
ejpam-3440	443	4	0̃e	0̃e	PROPN
ejpam-3440	443	5	,	,	PUNCT
ejpam-3440	443	6	ze	ze	PROPN
ejpam-3440	443	7	}	}	PUNCT
ejpam-3440	443	8	,	,	PUNCT
ejpam-3440	443	9	where	where	SCONJ
ejpam-3440	443	10	ze	ze	PROPN
ejpam-3440	443	11	is	be	AUX
ejpam-3440	443	12	a	a	DET
ejpam-3440	443	13	fuzzy	fuzzy	ADJ
ejpam-3440	443	14	soft	soft	ADJ
ejpam-3440	443	15	set	set	NOUN
ejpam-3440	443	16	over	over	ADP
ejpam-3440	443	17	x	x	PUNCT
ejpam-3440	443	18	defined	define	VERB
ejpam-3440	443	19	as	as	SCONJ
ejpam-3440	443	20	follows	follow	VERB
ejpam-3440	443	21	:	:	PUNCT
ejpam-3440	443	22	µe1ze	µe1ze	ADV
ejpam-3440	443	23	=	=	SYM
ejpam-3440	443	24	{	{	PUNCT
ejpam-3440	443	25	a0.5	a0.5	PROPN
ejpam-3440	443	26	,	,	PUNCT
ejpam-3440	443	27	b0	b0	NOUN
ejpam-3440	443	28	,	,	PUNCT
ejpam-3440	443	29	c0.8	c0.8	NOUN
ejpam-3440	443	30	}	}	PUNCT
ejpam-3440	443	31	,	,	PUNCT
ejpam-3440	443	32	µe2ze	µe2ze	NUM
ejpam-3440	443	33	=	=	SYM
ejpam-3440	443	34	{	{	PUNCT
ejpam-3440	443	35	a0.1	a0.1	PROPN
ejpam-3440	443	36	,	,	PUNCT
ejpam-3440	443	37	b0.9	b0.9	NOUN
ejpam-3440	443	38	,	,	PUNCT
ejpam-3440	443	39	c0.5	c0.5	NOUN
ejpam-3440	443	40	}	}	PUNCT
ejpam-3440	443	41	,	,	PUNCT
ejpam-3440	443	42	µe3ze	µe3ze	X
ejpam-3440	443	43	=	=	SYM
ejpam-3440	443	44	{	{	PUNCT
ejpam-3440	443	45	a0.4	a0.4	X
ejpam-3440	443	46	,	,	PUNCT
ejpam-3440	443	47	b0.3	b0.3	PRON
ejpam-3440	443	48	,	,	PUNCT
ejpam-3440	443	49	c0.6	c0.6	NOUN
ejpam-3440	443	50	}	}	PUNCT
ejpam-3440	443	51	.	.	PUNCT
ejpam-3440	444	1	let	let	VERB
ejpam-3440	444	2	(	(	PUNCT
ejpam-3440	444	3	x	x	NOUN
ejpam-3440	444	4	,	,	PUNCT
ejpam-3440	444	5	t∗2,k	t∗2,k	PROPN
ejpam-3440	444	6	)	)	PUNCT
ejpam-3440	444	7	be	be	VERB
ejpam-3440	444	8	a	a	DET
ejpam-3440	444	9	fuzzy	fuzzy	ADJ
ejpam-3440	444	10	soft	soft	ADJ
ejpam-3440	444	11	topological	topological	ADJ
ejpam-3440	444	12	space	space	NOUN
ejpam-3440	444	13	over	over	ADP
ejpam-3440	444	14	y	y	PROPN
ejpam-3440	444	15	where	where	SCONJ
ejpam-3440	444	16	,	,	PUNCT
ejpam-3440	444	17	t∗2	t∗2	NOUN
ejpam-3440	444	18	=	=	SYM
ejpam-3440	444	19	{	{	PUNCT
ejpam-3440	444	20	1̃k	1̃k	PROPN
ejpam-3440	444	21	,	,	PUNCT
ejpam-3440	444	22	0̃k	0̃k	NOUN
ejpam-3440	444	23	,	,	PUNCT
ejpam-3440	444	24	gk	gk	PROPN
ejpam-3440	444	25	}	}	PUNCT
ejpam-3440	444	26	,	,	PUNCT
ejpam-3440	444	27	where	where	SCONJ
ejpam-3440	444	28	gk	gk	PROPN
ejpam-3440	444	29	is	be	AUX
ejpam-3440	444	30	a	a	DET
ejpam-3440	444	31	fuzzy	fuzzy	ADJ
ejpam-3440	444	32	soft	soft	ADJ
ejpam-3440	444	33	set	set	NOUN
ejpam-3440	444	34	over	over	ADP
ejpam-3440	444	35	y	y	PROPN
ejpam-3440	444	36	defined	define	VERB
ejpam-3440	444	37	by	by	ADP
ejpam-3440	444	38	:	:	PUNCT
ejpam-3440	444	39	µk1gk	µk1gk	PROPN
ejpam-3440	444	40	=	=	SYM
ejpam-3440	444	41	{	{	PUNCT
ejpam-3440	444	42	a0.3	a0.3	PROPN
ejpam-3440	444	43	,	,	PUNCT
ejpam-3440	444	44	b0.2	b0.2	PROPN
ejpam-3440	444	45	,	,	PUNCT
ejpam-3440	444	46	c0.7	c0.7	NOUN
ejpam-3440	444	47	}	}	PUNCT
ejpam-3440	444	48	,	,	PUNCT
ejpam-3440	444	49	µk2gk	µk2gk	PROPN
ejpam-3440	444	50	=	=	NOUN
ejpam-3440	444	51	{	{	PUNCT
ejpam-3440	444	52	a1	a1	PROPN
ejpam-3440	444	53	,	,	PUNCT
ejpam-3440	444	54	b0.3	b0.3	PRON
ejpam-3440	444	55	,	,	PUNCT
ejpam-3440	444	56	c0.5	c0.5	NOUN
ejpam-3440	444	57	}	}	PUNCT
ejpam-3440	444	58	,	,	PUNCT
ejpam-3440	444	59	µk3gk	µk3gk	NUM
ejpam-3440	444	60	=	=	SYM
ejpam-3440	444	61	{	{	PUNCT
ejpam-3440	444	62	a0.2	a0.2	PROPN
ejpam-3440	444	63	,	,	PUNCT
ejpam-3440	444	64	b0.9	b0.9	PROPN
ejpam-3440	444	65	,	,	PUNCT
ejpam-3440	444	66	c0.1	c0.1	PROPN
ejpam-3440	444	67	}	}	PUNCT
ejpam-3440	444	68	.	.	PUNCT
ejpam-3440	445	1	consider	consider	VERB
ejpam-3440	445	2	the	the	DET
ejpam-3440	445	3	associated	associate	VERB
ejpam-3440	445	4	fssts	fsst	NOUN
ejpam-3440	445	5	t2	t2	NOUN
ejpam-3440	445	6	with	with	ADP
ejpam-3440	445	7	t∗2	t∗2	NOUN
ejpam-3440	445	8	,	,	PUNCT
ejpam-3440	445	9	where	where	SCONJ
ejpam-3440	445	10	t2	t2	NOUN
ejpam-3440	445	11	=	=	SYM
ejpam-3440	445	12	{	{	PUNCT
ejpam-3440	445	13	1̃k	1̃k	PROPN
ejpam-3440	445	14	,	,	PUNCT
ejpam-3440	445	15	0̃k	0̃k	NOUN
ejpam-3440	445	16	,	,	PUNCT
ejpam-3440	445	17	gk	gk	PROPN
ejpam-3440	445	18	,	,	PUNCT
ejpam-3440	445	19	hk	hk	PROPN
ejpam-3440	445	20	,	,	PUNCT
ejpam-3440	445	21	ik	ik	PROPN
ejpam-3440	445	22	}	}	PUNCT
ejpam-3440	445	23	,	,	PUNCT
ejpam-3440	445	24	where	where	SCONJ
ejpam-3440	445	25	gk	gk	PROPN
ejpam-3440	445	26	,	,	PUNCT
ejpam-3440	445	27	hk	hk	PROPN
ejpam-3440	445	28	,	,	PUNCT
ejpam-3440	445	29	ik	ik	PROPN
ejpam-3440	445	30	are	be	AUX
ejpam-3440	445	31	fuzzy	fuzzy	ADJ
ejpam-3440	445	32	soft	soft	ADJ
ejpam-3440	445	33	sets	set	NOUN
ejpam-3440	445	34	over	over	ADP
ejpam-3440	445	35	x	x	PUNCT
ejpam-3440	445	36	defined	define	VERB
ejpam-3440	445	37	as	as	ADP
ejpam-3440	445	38	follows	follow	VERB
ejpam-3440	445	39	:	:	PUNCT
ejpam-3440	445	40	µk1hk	µk1hk	PROPN
ejpam-3440	445	41	=	=	SYM
ejpam-3440	445	42	{	{	PUNCT
ejpam-3440	445	43	a0	a0	PROPN
ejpam-3440	445	44	,	,	PUNCT
ejpam-3440	445	45	b0.9	b0.9	PROPN
ejpam-3440	445	46	,	,	PUNCT
ejpam-3440	445	47	c0.5	c0.5	NOUN
ejpam-3440	445	48	}	}	PUNCT
ejpam-3440	445	49	,	,	PUNCT
ejpam-3440	445	50	µk2hk	µk2hk	VERB
ejpam-3440	445	51	=	=	SYM
ejpam-3440	445	52	{	{	PUNCT
ejpam-3440	445	53	a0	a0	NOUN
ejpam-3440	445	54	,	,	PUNCT
ejpam-3440	445	55	b0.6	b0.6	PROPN
ejpam-3440	445	56	,	,	PUNCT
ejpam-3440	445	57	c0.4	c0.4	NOUN
ejpam-3440	445	58	}	}	PUNCT
ejpam-3440	445	59	,	,	PUNCT
ejpam-3440	445	60	µk3hk	µk3hk	PROPN
ejpam-3440	445	61	=	=	SYM
ejpam-3440	445	62	{	{	PUNCT
ejpam-3440	445	63	a0	a0	PROPN
ejpam-3440	445	64	,	,	PUNCT
ejpam-3440	445	65	b0	b0	NOUN
ejpam-3440	445	66	,	,	PUNCT
ejpam-3440	445	67	c0	c0	NOUN
ejpam-3440	445	68	}	}	PUNCT
ejpam-3440	445	69	,	,	PUNCT
ejpam-3440	445	70	µk1ik	µk1ik	PROPN
ejpam-3440	445	71	=	=	SYM
ejpam-3440	445	72	{	{	PUNCT
ejpam-3440	445	73	a0.3	a0.3	PROPN
ejpam-3440	445	74	,	,	PUNCT
ejpam-3440	445	75	b0.9	b0.9	NOUN
ejpam-3440	445	76	,	,	PUNCT
ejpam-3440	445	77	c0.7	c0.7	PROPN
ejpam-3440	445	78	}	}	PUNCT
ejpam-3440	445	79	,	,	PUNCT
ejpam-3440	445	80	µk2ik	µk2ik	PROPN
ejpam-3440	445	81	=	=	SYM
ejpam-3440	445	82	{	{	PUNCT
ejpam-3440	445	83	a1	a1	NOUN
ejpam-3440	445	84	,	,	PUNCT
ejpam-3440	445	85	b0.6	b0.6	NOUN
ejpam-3440	445	86	,	,	PUNCT
ejpam-3440	445	87	c0.5	c0.5	NOUN
ejpam-3440	445	88	}	}	PUNCT
ejpam-3440	445	89	,	,	PUNCT
ejpam-3440	445	90	µk3ik	µk3ik	NOUN
ejpam-3440	445	91	=	=	SYM
ejpam-3440	445	92	{	{	PUNCT
ejpam-3440	445	93	a0.2	a0.2	PROPN
ejpam-3440	445	94	,	,	PUNCT
ejpam-3440	445	95	b0.9	b0.9	PROPN
ejpam-3440	445	96	,	,	PUNCT
ejpam-3440	445	97	c0.1	c0.1	PROPN
ejpam-3440	445	98	}	}	PUNCT
ejpam-3440	445	99	.	.	PUNCT
ejpam-3440	446	1	let	let	AUX
ejpam-3440	446	2	fpu	fpu	VERB
ejpam-3440	446	3	:	:	PUNCT
ejpam-3440	446	4	(	(	PUNCT
ejpam-3440	446	5	x	x	X
ejpam-3440	446	6	,	,	PUNCT
ejpam-3440	446	7	t∗1	t∗1	ADJ
ejpam-3440	446	8	,	,	PUNCT
ejpam-3440	446	9	e	e	NOUN
ejpam-3440	446	10	)	)	PUNCT
ejpam-3440	446	11	→	→	SYM
ejpam-3440	446	12	(	(	PUNCT
ejpam-3440	446	13	y	y	PROPN
ejpam-3440	446	14	,	,	PUNCT
ejpam-3440	446	15	t∗2,k	t∗2,k	PROPN
ejpam-3440	446	16	)	)	PUNCT
ejpam-3440	446	17	be	be	AUX
ejpam-3440	446	18	a	a	DET
ejpam-3440	446	19	soft	soft	ADJ
ejpam-3440	446	20	function	function	NOUN
ejpam-3440	446	21	.	.	PUNCT
ejpam-3440	447	1	hence	hence	ADV
ejpam-3440	447	2	,	,	PUNCT
ejpam-3440	447	3	fpu(ze	fpu(ze	PROPN
ejpam-3440	447	4	)	)	PUNCT
ejpam-3440	447	5	=	=	PRON
ejpam-3440	447	6	{	{	PUNCT
ejpam-3440	447	7	(	(	PUNCT
ejpam-3440	447	8	k1	k1	NOUN
ejpam-3440	447	9	,	,	PUNCT
ejpam-3440	447	10	{	{	PUNCT
ejpam-3440	447	11	a0	a0	PROPN
ejpam-3440	447	12	,	,	PUNCT
ejpam-3440	447	13	b0.9	b0.9	PROPN
ejpam-3440	447	14	,	,	PUNCT
ejpam-3440	447	15	c0.5	c0.5	NOUN
ejpam-3440	447	16	}	}	PUNCT
ejpam-3440	447	17	)	)	PUNCT
ejpam-3440	447	18	,	,	PUNCT
ejpam-3440	447	19	(	(	PUNCT
ejpam-3440	447	20	k2	k2	NOUN
ejpam-3440	447	21	,	,	PUNCT
ejpam-3440	447	22	{	{	PUNCT
ejpam-3440	447	23	a0	a0	NOUN
ejpam-3440	447	24	,	,	PUNCT
ejpam-3440	447	25	b0.6	b0.6	PROPN
ejpam-3440	447	26	,	,	PUNCT
ejpam-3440	447	27	c0.4	c0.4	NOUN
ejpam-3440	447	28	}	}	PUNCT
ejpam-3440	447	29	)	)	PUNCT
ejpam-3440	447	30	,	,	PUNCT
ejpam-3440	447	31	(	(	PUNCT
ejpam-3440	447	32	k3	k3	PROPN
ejpam-3440	447	33	,	,	PUNCT
ejpam-3440	447	34	{	{	PUNCT
ejpam-3440	447	35	a0	a0	NOUN
ejpam-3440	447	36	,	,	PUNCT
ejpam-3440	447	37	b0	b0	NOUN
ejpam-3440	447	38	,	,	PUNCT
ejpam-3440	447	39	c0	c0	NOUN
ejpam-3440	447	40	)	)	PUNCT
ejpam-3440	447	41	}	}	PUNCT
ejpam-3440	447	42	.	.	PUNCT
ejpam-3440	448	1	it	it	PRON
ejpam-3440	448	2	is	be	AUX
ejpam-3440	448	3	follows	follow	NOUN
ejpam-3440	448	4	,	,	PUNCT
ejpam-3440	448	5	fpu(ze	fpu(ze	NOUN
ejpam-3440	448	6	)	)	PUNCT
ejpam-3440	448	7	∈	∈	PROPN
ejpam-3440	448	8	t2	t2	PROPN
ejpam-3440	448	9	and	and	CCONJ
ejpam-3440	448	10	fpu(ze	fpu(ze	NOUN
ejpam-3440	448	11	)	)	PUNCT
ejpam-3440	448	12	6∈	6∈	PROPN
ejpam-3440	448	13	t∗2	t∗2	NOUN
ejpam-3440	448	14	.	.	PUNCT
ejpam-3440	449	1	therefore	therefore	ADV
ejpam-3440	449	2	,	,	PUNCT
ejpam-3440	449	3	fpu	fpu	PROPN
ejpam-3440	449	4	is	be	AUX
ejpam-3440	449	5	a	a	DET
ejpam-3440	449	6	fuzzy	fuzzy	ADJ
ejpam-3440	449	7	supra	supra	NOUN
ejpam-3440	449	8	open	open	ADJ
ejpam-3440	449	9	(	(	PUNCT
ejpam-3440	449	10	resp	resp	NOUN
ejpam-3440	449	11	.	.	PUNCT
ejpam-3440	450	1	closed	closed	ADJ
ejpam-3440	450	2	)	)	PUNCT
ejpam-3440	450	3	soft	soft	ADJ
ejpam-3440	450	4	function	function	NOUN
ejpam-3440	450	5	but	but	CCONJ
ejpam-3440	450	6	not	not	PART
ejpam-3440	450	7	fuzzy	fuzzy	ADJ
ejpam-3440	450	8	open	open	ADJ
ejpam-3440	450	9	(	(	PUNCT
ejpam-3440	450	10	resp	resp	NOUN
ejpam-3440	450	11	.	.	PUNCT
ejpam-3440	451	1	closed	closed	ADJ
ejpam-3440	451	2	)	)	PUNCT
ejpam-3440	451	3	soft	soft	ADJ
ejpam-3440	451	4	.	.	PUNCT
ejpam-3440	452	1	theorem	theorem	NOUN
ejpam-3440	452	2	11	11	NUM
ejpam-3440	452	3	.	.	PUNCT
ejpam-3440	453	1	let	let	VERB
ejpam-3440	453	2	(	(	PUNCT
ejpam-3440	453	3	x	x	X
ejpam-3440	453	4	,	,	PUNCT
ejpam-3440	453	5	t∗1	t∗1	ADJ
ejpam-3440	453	6	,	,	PUNCT
ejpam-3440	453	7	e	e	NOUN
ejpam-3440	453	8	)	)	PUNCT
ejpam-3440	453	9	,	,	PUNCT
ejpam-3440	453	10	(	(	PUNCT
ejpam-3440	453	11	y	y	NOUN
ejpam-3440	453	12	,	,	PUNCT
ejpam-3440	453	13	t∗2,k	t∗2,k	PROPN
ejpam-3440	453	14	)	)	PUNCT
ejpam-3440	453	15	be	be	VERB
ejpam-3440	453	16	two	two	NUM
ejpam-3440	453	17	fuzzy	fuzzy	ADJ
ejpam-3440	453	18	soft	soft	ADJ
ejpam-3440	453	19	topological	topological	ADJ
ejpam-3440	453	20	spaces	space	NOUN
ejpam-3440	453	21	,	,	PUNCT
ejpam-3440	453	22	t2	t2	PROPN
ejpam-3440	453	23	be	be	VERB
ejpam-3440	453	24	an	an	DET
ejpam-3440	453	25	associated	associate	VERB
ejpam-3440	453	26	fssts	fsst	NOUN
ejpam-3440	453	27	with	with	ADP
ejpam-3440	453	28	t∗2	t∗2	NOUN
ejpam-3440	453	29	and	and	CCONJ
ejpam-3440	453	30	fpu	fpu	PROPN
ejpam-3440	453	31	:	:	PUNCT
ejpam-3440	453	32	fss(x)e	fss(x)e	ADJ
ejpam-3440	453	33	→	→	SYM
ejpam-3440	453	34	fss(y	fss(y	PROPN
ejpam-3440	453	35	)	)	PUNCT
ejpam-3440	453	36	k	k	X
ejpam-3440	453	37	be	be	AUX
ejpam-3440	453	38	a	a	DET
ejpam-3440	453	39	soft	soft	ADJ
ejpam-3440	453	40	function	function	NOUN
ejpam-3440	453	41	.	.	PUNCT
ejpam-3440	454	1	then	then	ADV
ejpam-3440	454	2	,	,	PUNCT
ejpam-3440	454	3	(	(	PUNCT
ejpam-3440	454	4	1	1	X
ejpam-3440	454	5	)	)	PUNCT
ejpam-3440	454	6	fpu	fpu	PROPN
ejpam-3440	454	7	is	be	AUX
ejpam-3440	454	8	a	a	DET
ejpam-3440	454	9	fuzzy	fuzzy	ADJ
ejpam-3440	454	10	supra	supra	NOUN
ejpam-3440	454	11	open	open	ADJ
ejpam-3440	454	12	soft	soft	ADJ
ejpam-3440	454	13	mapping	mapping	NOUN
ejpam-3440	454	14	if	if	SCONJ
ejpam-3440	454	15	and	and	CCONJ
ejpam-3440	454	16	only	only	ADV
ejpam-3440	454	17	if	if	SCONJ
ejpam-3440	454	18	fpu(fints(ge	fpu(fints(ge	NUM
ejpam-3440	454	19	)	)	PUNCT
ejpam-3440	454	20	)	)	PUNCT
ejpam-3440	454	21	v	v	ADP
ejpam-3440	454	22	fints(fpu(ge	fints(fpu(ge	NOUN
ejpam-3440	454	23	)	)	PUNCT
ejpam-3440	454	24	)	)	PUNCT
ejpam-3440	454	25	∀	∀	X
ejpam-3440	454	26	ge	ge	PROPN
ejpam-3440	454	27	∈	∈	PROPN
ejpam-3440	454	28	fss(x)e	fss(x)e	PROPN
ejpam-3440	454	29	.	.	PUNCT
ejpam-3440	455	1	(	(	PUNCT
ejpam-3440	455	2	2	2	X
ejpam-3440	455	3	)	)	PUNCT
ejpam-3440	455	4	fpu	fpu	NOUN
ejpam-3440	455	5	is	be	AUX
ejpam-3440	455	6	a	a	DET
ejpam-3440	455	7	fuzzy	fuzzy	ADJ
ejpam-3440	455	8	supra	supra	NOUN
ejpam-3440	455	9	closed	close	VERB
ejpam-3440	455	10	soft	soft	ADJ
ejpam-3440	455	11	mapping	mapping	NOUN
ejpam-3440	455	12	if	if	SCONJ
ejpam-3440	455	13	and	and	CCONJ
ejpam-3440	455	14	only	only	ADV
ejpam-3440	455	15	if	if	SCONJ
ejpam-3440	455	16	fcls(fpu(ge	fcls(fpu(ge	NUM
ejpam-3440	455	17	)	)	PUNCT
ejpam-3440	455	18	)	)	PUNCT
ejpam-3440	455	19	v	v	ADP
ejpam-3440	455	20	fpu(fcls(ge	fpu(fcls(ge	NOUN
ejpam-3440	455	21	)	)	PUNCT
ejpam-3440	455	22	)	)	PUNCT
ejpam-3440	455	23	∀	∀	X
ejpam-3440	456	1	ge	ge	PROPN
ejpam-3440	456	2	∈	∈	PROPN
ejpam-3440	456	3	fss(x)e	fss(x)e	PROPN
ejpam-3440	456	4	.	.	PUNCT
ejpam-3440	457	1	proof	proof	NOUN
ejpam-3440	457	2	.	.	PUNCT
ejpam-3440	458	1	(	(	PUNCT
ejpam-3440	458	2	1	1	X
ejpam-3440	458	3	)	)	PUNCT
ejpam-3440	458	4	(	(	PUNCT
ejpam-3440	458	5	⇒	⇒	NOUN
ejpam-3440	458	6	:)	:)	INTJ
ejpam-3440	458	7	let	let	VERB
ejpam-3440	458	8	ge	ge	PROPN
ejpam-3440	458	9	∈	∈	PROPN
ejpam-3440	458	10	fss(x)e	fss(x)e	PROPN
ejpam-3440	458	11	.	.	PUNCT
ejpam-3440	459	1	since	since	SCONJ
ejpam-3440	459	2	fints(ge	fints(ge	NOUN
ejpam-3440	459	3	)	)	PUNCT
ejpam-3440	459	4	v	v	NOUN
ejpam-3440	459	5	fa	fa	PROPN
ejpam-3440	459	6	,	,	PUNCT
ejpam-3440	459	7	fpu(fints(ge	fpu(fints(ge	NOUN
ejpam-3440	459	8	)	)	PUNCT
ejpam-3440	459	9	)	)	PUNCT
ejpam-3440	459	10	v	v	NOUN
ejpam-3440	459	11	fpu(ge	fpu(ge	NOUN
ejpam-3440	459	12	)	)	PUNCT
ejpam-3440	459	13	from	from	ADP
ejpam-3440	459	14	theorem	theorem	NOUN
ejpam-3440	459	15	1	1	NUM
ejpam-3440	459	16	.	.	PUNCT
ejpam-3440	459	17	since	since	SCONJ
ejpam-3440	459	18	fpu	fpu	PROPN
ejpam-3440	459	19	is	be	AUX
ejpam-3440	459	20	fuzzy	fuzzy	ADJ
ejpam-3440	459	21	supra	supra	ADJ
ejpam-3440	459	22	open	open	ADJ
ejpam-3440	459	23	soft	soft	ADJ
ejpam-3440	459	24	mapping	mapping	NOUN
ejpam-3440	459	25	,	,	PUNCT
ejpam-3440	459	26	fints(fpu(fints(ge	fints(fpu(fints(ge	NOUN
ejpam-3440	459	27	)	)	PUNCT
ejpam-3440	459	28	)	)	PUNCT
ejpam-3440	459	29	)	)	PUNCT
ejpam-3440	460	1	=	=	SYM
ejpam-3440	460	2	fpu(fints(ge	fpu(fints(ge	NOUN
ejpam-3440	460	3	)	)	PUNCT
ejpam-3440	460	4	)	)	PUNCT
ejpam-3440	460	5	v	v	ADP
ejpam-3440	460	6	fints(fpu(fa	fints(fpu(fa	NOUN
ejpam-3440	460	7	)	)	PUNCT
ejpam-3440	460	8	)	)	PUNCT
ejpam-3440	460	9	.	.	PUNCT
ejpam-3440	461	1	(:	(:	VERB
ejpam-3440	461	2	⇐	⇐	NOUN
ejpam-3440	461	3	)	)	PUNCT
ejpam-3440	461	4	let	let	VERB
ejpam-3440	461	5	ge	ge	PROPN
ejpam-3440	461	6	∈	∈	PROPN
ejpam-3440	461	7	t∗1	t∗1	PROPN
ejpam-3440	461	8	.	.	PUNCT
ejpam-3440	462	1	then	then	ADV
ejpam-3440	462	2	,	,	PUNCT
ejpam-3440	462	3	fints(ge	fints(ge	NOUN
ejpam-3440	462	4	)	)	PUNCT
ejpam-3440	463	1	=	=	SYM
ejpam-3440	463	2	ge	ge	PROPN
ejpam-3440	463	3	.	.	PUNCT
ejpam-3440	464	1	by	by	ADP
ejpam-3440	464	2	hypothesis	hypothesis	NOUN
ejpam-3440	464	3	,	,	PUNCT
ejpam-3440	464	4	fpu(fints(ge	fpu(fints(ge	NOUN
ejpam-3440	464	5	)	)	PUNCT
ejpam-3440	464	6	)	)	PUNCT
ejpam-3440	464	7	v	v	ADP
ejpam-3440	464	8	fints(fpu(ge	fints(fpu(ge	NOUN
ejpam-3440	464	9	)	)	PUNCT
ejpam-3440	464	10	)	)	PUNCT
ejpam-3440	464	11	.	.	PUNCT
ejpam-3440	465	1	hence	hence	ADV
ejpam-3440	465	2	,	,	PUNCT
ejpam-3440	465	3	fpu(ge	fpu(ge	NUM
ejpam-3440	465	4	)	)	PUNCT
ejpam-3440	465	5	v	v	ADP
ejpam-3440	465	6	fints(fpu(ge	fints(fpu(ge	NOUN
ejpam-3440	465	7	)	)	PUNCT
ejpam-3440	465	8	)	)	PUNCT
ejpam-3440	465	9	v	v	NOUN
ejpam-3440	465	10	fpu(ge	fpu(ge	NOUN
ejpam-3440	465	11	)	)	PUNCT
ejpam-3440	465	12	.	.	PUNCT
ejpam-3440	466	1	it	it	PRON
ejpam-3440	466	2	is	be	AUX
ejpam-3440	466	3	follows	follow	NOUN
ejpam-3440	466	4	,	,	PUNCT
ejpam-3440	466	5	fpu(ge	fpu(ge	NUM
ejpam-3440	466	6	)	)	PUNCT
ejpam-3440	466	7	=	=	SYM
ejpam-3440	466	8	fints(fpu(ge	fints(fpu(ge	NOUN
ejpam-3440	466	9	)	)	PUNCT
ejpam-3440	466	10	)	)	PUNCT
ejpam-3440	466	11	.	.	PUNCT
ejpam-3440	467	1	thus	thus	ADV
ejpam-3440	467	2	,	,	PUNCT
ejpam-3440	467	3	fpu(ge	fpu(ge	NUM
ejpam-3440	467	4	)	)	PUNCT
ejpam-3440	467	5	∈	∈	PROPN
ejpam-3440	467	6	t2	t2	NOUN
ejpam-3440	467	7	.	.	PUNCT
ejpam-3440	468	1	this	this	PRON
ejpam-3440	468	2	completes	complete	VERB
ejpam-3440	468	3	the	the	DET
ejpam-3440	468	4	proof	proof	NOUN
ejpam-3440	468	5	.	.	PUNCT
ejpam-3440	469	1	(	(	PUNCT
ejpam-3440	469	2	2	2	NUM
ejpam-3440	469	3	)	)	PUNCT
ejpam-3440	469	4	by	by	ADP
ejpam-3440	469	5	a	a	DET
ejpam-3440	469	6	similar	similar	ADJ
ejpam-3440	469	7	way	way	NOUN
ejpam-3440	469	8	.	.	PUNCT
ejpam-3440	470	1	a.	a.	PROPN
ejpam-3440	470	2	m.	m.	PROPN
ejpam-3440	470	3	abd	abd	PROPN
ejpam-3440	470	4	el	el	PROPN
ejpam-3440	470	5	-	-	PROPN
ejpam-3440	470	6	latif	latif	PROPN
ejpam-3440	470	7	/	/	SYM
ejpam-3440	470	8	eur	eur	PROPN
ejpam-3440	470	9	.	.	PUNCT
ejpam-3440	471	1	j.	j.	PROPN
ejpam-3440	471	2	pure	pure	PROPN
ejpam-3440	471	3	appl	appl	PROPN
ejpam-3440	471	4	.	.	PROPN
ejpam-3440	471	5	math	math	PROPN
ejpam-3440	471	6	,	,	PUNCT
ejpam-3440	471	7	12	12	NUM
ejpam-3440	471	8	(	(	PUNCT
ejpam-3440	471	9	3	3	NUM
ejpam-3440	471	10	)	)	PUNCT
ejpam-3440	471	11	(	(	PUNCT
ejpam-3440	471	12	2019	2019	NUM
ejpam-3440	471	13	)	)	PUNCT
ejpam-3440	471	14	,	,	PUNCT
ejpam-3440	471	15	999	999	NUM
ejpam-3440	471	16	-	-	SYM
ejpam-3440	471	17	1017	1017	NUM
ejpam-3440	471	18	1013	1013	NUM
ejpam-3440	471	19	definition	definition	NOUN
ejpam-3440	471	20	27	27	NUM
ejpam-3440	471	21	.	.	PUNCT
ejpam-3440	472	1	let	let	VERB
ejpam-3440	472	2	(	(	PUNCT
ejpam-3440	472	3	x	x	X
ejpam-3440	472	4	,	,	PUNCT
ejpam-3440	472	5	t∗1	t∗1	ADJ
ejpam-3440	472	6	,	,	PUNCT
ejpam-3440	472	7	e	e	NOUN
ejpam-3440	472	8	)	)	PUNCT
ejpam-3440	472	9	,	,	PUNCT
ejpam-3440	472	10	(	(	PUNCT
ejpam-3440	472	11	y	y	NOUN
ejpam-3440	472	12	,	,	PUNCT
ejpam-3440	472	13	t∗2,k	t∗2,k	PROPN
ejpam-3440	472	14	)	)	PUNCT
ejpam-3440	472	15	be	be	VERB
ejpam-3440	472	16	two	two	NUM
ejpam-3440	472	17	fuzzy	fuzzy	ADJ
ejpam-3440	472	18	soft	soft	ADJ
ejpam-3440	472	19	topological	topological	ADJ
ejpam-3440	472	20	spaces	space	NOUN
ejpam-3440	472	21	,	,	PUNCT
ejpam-3440	472	22	t1	t1	PROPN
ejpam-3440	472	23	,	,	PUNCT
ejpam-3440	472	24	t2	t2	PROPN
ejpam-3440	472	25	be	be	AUX
ejpam-3440	472	26	associated	associate	VERB
ejpam-3440	472	27	fssts	fsst	NOUN
ejpam-3440	472	28	with	with	ADP
ejpam-3440	472	29	t∗1	t∗1	ADJ
ejpam-3440	472	30	,	,	PUNCT
ejpam-3440	472	31	t∗2	t∗2	NOUN
ejpam-3440	472	32	,	,	PUNCT
ejpam-3440	472	33	respectively	respectively	ADV
ejpam-3440	472	34	.	.	PUNCT
ejpam-3440	473	1	let	let	AUX
ejpam-3440	473	2	fpu	fpu	PROPN
ejpam-3440	473	3	:	:	PUNCT
ejpam-3440	473	4	fss(x)e	fss(x)e	ADJ
ejpam-3440	473	5	→	→	SYM
ejpam-3440	473	6	fss(y	fss(y	PROPN
ejpam-3440	473	7	)	)	PUNCT
ejpam-3440	473	8	k	k	X
ejpam-3440	473	9	be	be	AUX
ejpam-3440	473	10	a	a	DET
ejpam-3440	473	11	soft	soft	ADJ
ejpam-3440	473	12	function	function	NOUN
ejpam-3440	473	13	.	.	PUNCT
ejpam-3440	474	1	then	then	ADV
ejpam-3440	474	2	,	,	PUNCT
ejpam-3440	474	3	fpu	fpu	PROPN
ejpam-3440	474	4	is	be	AUX
ejpam-3440	474	5	fuzzy	fuzzy	ADJ
ejpam-3440	474	6	supra	supra	ADJ
ejpam-3440	474	7	soft	soft	ADJ
ejpam-3440	474	8	homeomorphism	homeomorphism	NOUN
ejpam-3440	474	9	if	if	SCONJ
ejpam-3440	474	10	it	it	PRON
ejpam-3440	474	11	is	be	AUX
ejpam-3440	474	12	bijection	bijection	ADJ
ejpam-3440	474	13	,	,	PUNCT
ejpam-3440	474	14	fss	fss	ADV
ejpam-3440	474	15	-	-	PUNCT
ejpam-3440	474	16	continuous	continuous	ADJ
ejpam-3440	474	17	and	and	CCONJ
ejpam-3440	474	18	f−1	f−1	PROPN
ejpam-3440	474	19	pu	pu	PROPN
ejpam-3440	474	20	is	be	AUX
ejpam-3440	474	21	fss	fss	ADV
ejpam-3440	474	22	-	-	PUNCT
ejpam-3440	474	23	continuous	continuous	ADJ
ejpam-3440	474	24	.	.	PUNCT
ejpam-3440	475	1	theorem	theorem	NOUN
ejpam-3440	475	2	12	12	NUM
ejpam-3440	475	3	.	.	PUNCT
ejpam-3440	476	1	let	let	VERB
ejpam-3440	476	2	(	(	PUNCT
ejpam-3440	476	3	x	x	X
ejpam-3440	476	4	,	,	PUNCT
ejpam-3440	476	5	t∗1	t∗1	ADJ
ejpam-3440	476	6	,	,	PUNCT
ejpam-3440	476	7	e	e	NOUN
ejpam-3440	476	8	)	)	PUNCT
ejpam-3440	476	9	,	,	PUNCT
ejpam-3440	476	10	(	(	PUNCT
ejpam-3440	476	11	y	y	NOUN
ejpam-3440	476	12	,	,	PUNCT
ejpam-3440	476	13	t∗2,k	t∗2,k	PROPN
ejpam-3440	476	14	)	)	PUNCT
ejpam-3440	476	15	be	be	VERB
ejpam-3440	476	16	two	two	NUM
ejpam-3440	476	17	fuzzy	fuzzy	ADJ
ejpam-3440	476	18	soft	soft	ADJ
ejpam-3440	476	19	topological	topological	ADJ
ejpam-3440	476	20	spaces	space	NOUN
ejpam-3440	476	21	,	,	PUNCT
ejpam-3440	476	22	t2	t2	PROPN
ejpam-3440	476	23	be	be	VERB
ejpam-3440	476	24	an	an	DET
ejpam-3440	476	25	associated	associate	VERB
ejpam-3440	476	26	fssts	fsst	NOUN
ejpam-3440	476	27	with	with	ADP
ejpam-3440	476	28	t∗2	t∗2	NOUN
ejpam-3440	476	29	and	and	CCONJ
ejpam-3440	476	30	fpu	fpu	PROPN
ejpam-3440	476	31	:	:	PUNCT
ejpam-3440	476	32	fss(x)e	fss(x)e	ADJ
ejpam-3440	476	33	→	→	SYM
ejpam-3440	476	34	fss(y	fss(y	PROPN
ejpam-3440	476	35	)	)	PUNCT
ejpam-3440	476	36	k	k	X
ejpam-3440	476	37	be	be	AUX
ejpam-3440	476	38	a	a	DET
ejpam-3440	476	39	bijective	bijective	ADJ
ejpam-3440	476	40	soft	soft	ADJ
ejpam-3440	476	41	function	function	NOUN
ejpam-3440	476	42	.	.	PUNCT
ejpam-3440	477	1	then	then	ADV
ejpam-3440	477	2	,	,	PUNCT
ejpam-3440	477	3	the	the	DET
ejpam-3440	477	4	following	follow	VERB
ejpam-3440	477	5	are	be	AUX
ejpam-3440	477	6	equivalent	equivalent	ADJ
ejpam-3440	477	7	:	:	PUNCT
ejpam-3440	477	8	(	(	PUNCT
ejpam-3440	477	9	1	1	X
ejpam-3440	477	10	)	)	PUNCT
ejpam-3440	477	11	fpu	fpu	PROPN
ejpam-3440	477	12	is	be	AUX
ejpam-3440	477	13	a	a	DET
ejpam-3440	477	14	fuzzy	fuzzy	ADJ
ejpam-3440	477	15	supra	supra	ADJ
ejpam-3440	477	16	soft	soft	ADJ
ejpam-3440	477	17	homeomorphism	homeomorphism	NOUN
ejpam-3440	477	18	.	.	PUNCT
ejpam-3440	478	1	(	(	PUNCT
ejpam-3440	478	2	2	2	X
ejpam-3440	478	3	)	)	PUNCT
ejpam-3440	478	4	fpu	fpu	NOUN
ejpam-3440	478	5	is	be	AUX
ejpam-3440	478	6	a	a	DET
ejpam-3440	478	7	fss	fss	ADV
ejpam-3440	478	8	-	-	PUNCT
ejpam-3440	478	9	continuous	continuous	ADJ
ejpam-3440	478	10	and	and	CCONJ
ejpam-3440	478	11	fuzzy	fuzzy	ADJ
ejpam-3440	478	12	supra	supra	NOUN
ejpam-3440	478	13	closed	close	VERB
ejpam-3440	478	14	soft	soft	ADJ
ejpam-3440	478	15	mapping	mapping	NOUN
ejpam-3440	478	16	.	.	PUNCT
ejpam-3440	479	1	(	(	PUNCT
ejpam-3440	479	2	3	3	X
ejpam-3440	479	3	)	)	PUNCT
ejpam-3440	479	4	fpu	fpu	PROPN
ejpam-3440	479	5	is	be	AUX
ejpam-3440	479	6	a	a	DET
ejpam-3440	479	7	fss	fss	ADV
ejpam-3440	479	8	-	-	PUNCT
ejpam-3440	479	9	continuous	continuous	ADJ
ejpam-3440	479	10	and	and	CCONJ
ejpam-3440	479	11	fuzzy	fuzzy	ADJ
ejpam-3440	479	12	supra	supra	PROPN
ejpam-3440	479	13	open	open	ADJ
ejpam-3440	479	14	soft	soft	ADJ
ejpam-3440	479	15	mapping	mapping	NOUN
ejpam-3440	479	16	.	.	PUNCT
ejpam-3440	480	1	proof	proof	NOUN
ejpam-3440	480	2	.	.	PUNCT
ejpam-3440	481	1	immediate	immediate	ADJ
ejpam-3440	481	2	.	.	PUNCT
ejpam-3440	482	1	5	5	X
ejpam-3440	482	2	.	.	X
ejpam-3440	482	3	fuzzy	fuzzy	ADJ
ejpam-3440	482	4	supra	supra	PROPN
ejpam-3440	482	5	soft	soft	ADJ
ejpam-3440	482	6	compact	compact	ADJ
ejpam-3440	482	7	spaces	space	NOUN
ejpam-3440	482	8	in	in	ADP
ejpam-3440	482	9	this	this	DET
ejpam-3440	482	10	section	section	NOUN
ejpam-3440	482	11	,	,	PUNCT
ejpam-3440	482	12	we	we	PRON
ejpam-3440	482	13	introduce	introduce	VERB
ejpam-3440	482	14	the	the	DET
ejpam-3440	482	15	notion	notion	NOUN
ejpam-3440	482	16	of	of	ADP
ejpam-3440	482	17	fuzzy	fuzzy	ADJ
ejpam-3440	482	18	supra	supra	PROPN
ejpam-3440	482	19	soft	soft	ADJ
ejpam-3440	482	20	compact	compact	ADJ
ejpam-3440	482	21	(	(	PUNCT
ejpam-3440	482	22	resp	resp	NOUN
ejpam-3440	482	23	.	.	PUNCT
ejpam-3440	483	1	fuzzy	fuzzy	ADJ
ejpam-3440	483	2	supra	supra	PROPN
ejpam-3440	483	3	soft	soft	ADJ
ejpam-3440	483	4	lindelöf	lindelöf	NOUN
ejpam-3440	483	5	)	)	PUNCT
ejpam-3440	483	6	spaces	space	NOUN
ejpam-3440	483	7	as	as	ADP
ejpam-3440	483	8	a	a	DET
ejpam-3440	483	9	generalization	generalization	NOUN
ejpam-3440	483	10	to	to	ADP
ejpam-3440	483	11	such	such	ADJ
ejpam-3440	483	12	introduced	introduce	VERB
ejpam-3440	483	13	in	in	ADP
ejpam-3440	483	14	[	[	X
ejpam-3440	483	15	11	11	NUM
ejpam-3440	483	16	,	,	PUNCT
ejpam-3440	483	17	12	12	NUM
ejpam-3440	483	18	,	,	PUNCT
ejpam-3440	483	19	17	17	NUM
ejpam-3440	483	20	,	,	PUNCT
ejpam-3440	483	21	24	24	NUM
ejpam-3440	483	22	,	,	PUNCT
ejpam-3440	483	23	27	27	NUM
ejpam-3440	483	24	,	,	PUNCT
ejpam-3440	483	25	30	30	NUM
ejpam-3440	483	26	]	]	PUNCT
ejpam-3440	483	27	.	.	PUNCT
ejpam-3440	484	1	we	we	PRON
ejpam-3440	484	2	also	also	ADV
ejpam-3440	484	3	introduce	introduce	VERB
ejpam-3440	484	4	some	some	DET
ejpam-3440	484	5	basic	basic	ADJ
ejpam-3440	484	6	definitions	definition	NOUN
ejpam-3440	484	7	of	of	ADP
ejpam-3440	484	8	fuzzy	fuzzy	ADJ
ejpam-3440	484	9	supra	supra	PROPN
ejpam-3440	484	10	soft	soft	ADJ
ejpam-3440	484	11	compact	compact	ADJ
ejpam-3440	484	12	spaces	space	NOUN
ejpam-3440	484	13	and	and	CCONJ
ejpam-3440	484	14	theorems	theorem	NOUN
ejpam-3440	484	15	of	of	ADP
ejpam-3440	484	16	the	the	DET
ejpam-3440	484	17	concept	concept	NOUN
ejpam-3440	484	18	.	.	PUNCT
ejpam-3440	485	1	definition	definition	NOUN
ejpam-3440	485	2	28	28	NUM
ejpam-3440	485	3	.	.	PUNCT
ejpam-3440	486	1	let	let	VERB
ejpam-3440	486	2	(	(	PUNCT
ejpam-3440	486	3	x	x	X
ejpam-3440	486	4	,	,	PUNCT
ejpam-3440	486	5	t	t	PROPN
ejpam-3440	486	6	,	,	PUNCT
ejpam-3440	486	7	e	e	NOUN
ejpam-3440	486	8	)	)	PUNCT
ejpam-3440	486	9	be	be	AUX
ejpam-3440	486	10	a	a	DET
ejpam-3440	486	11	fssts	fsst	NOUN
ejpam-3440	486	12	.	.	PUNCT
ejpam-3440	487	1	a	a	DET
ejpam-3440	487	2	family	family	NOUN
ejpam-3440	487	3	ψ	ψ	X
ejpam-3440	487	4	=	=	PUNCT
ejpam-3440	487	5	{	{	PUNCT
ejpam-3440	487	6	uie	uie	NOUN
ejpam-3440	487	7	:	:	PUNCT
ejpam-3440	487	8	i∈λ	i∈λ	PROPN
ejpam-3440	487	9	}	}	PUNCT
ejpam-3440	487	10	of	of	ADP
ejpam-3440	487	11	fuzzy	fuzzy	ADJ
ejpam-3440	487	12	soft	soft	ADJ
ejpam-3440	487	13	sets	set	NOUN
ejpam-3440	487	14	is	be	AUX
ejpam-3440	487	15	said	say	VERB
ejpam-3440	487	16	to	to	PART
ejpam-3440	487	17	be	be	AUX
ejpam-3440	487	18	a	a	DET
ejpam-3440	487	19	fuzzy	fuzzy	ADJ
ejpam-3440	487	20	supra	supra	NOUN
ejpam-3440	487	21	open	open	ADJ
ejpam-3440	487	22	soft	soft	ADJ
ejpam-3440	487	23	cover	cover	NOUN
ejpam-3440	487	24	,	,	PUNCT
ejpam-3440	487	25	if	if	SCONJ
ejpam-3440	487	26	each	each	DET
ejpam-3440	487	27	member	member	NOUN
ejpam-3440	487	28	of	of	ADP
ejpam-3440	487	29	ψ	ψ	PROPN
ejpam-3440	487	30	is	be	AUX
ejpam-3440	487	31	fuzzy	fuzzy	ADJ
ejpam-3440	487	32	supra	supra	ADJ
ejpam-3440	487	33	open	open	ADJ
ejpam-3440	487	34	soft	soft	ADJ
ejpam-3440	487	35	set	set	NOUN
ejpam-3440	487	36	.	.	PUNCT
ejpam-3440	488	1	definition	definition	NOUN
ejpam-3440	488	2	29	29	NUM
ejpam-3440	488	3	.	.	PUNCT
ejpam-3440	489	1	a	a	DET
ejpam-3440	489	2	fuzzy	fuzzy	ADJ
ejpam-3440	489	3	soft	soft	ADJ
ejpam-3440	489	4	subset	subset	NOUN
ejpam-3440	489	5	fa	fa	PROPN
ejpam-3440	489	6	of	of	ADP
ejpam-3440	489	7	the	the	DET
ejpam-3440	489	8	space	space	NOUN
ejpam-3440	489	9	(	(	PUNCT
ejpam-3440	489	10	x	x	X
ejpam-3440	489	11	,	,	PUNCT
ejpam-3440	489	12	t	t	PROPN
ejpam-3440	489	13	,	,	PUNCT
ejpam-3440	489	14	e	e	NOUN
ejpam-3440	489	15	)	)	PUNCT
ejpam-3440	489	16	is	be	AUX
ejpam-3440	489	17	said	say	VERB
ejpam-3440	489	18	to	to	PART
ejpam-3440	489	19	be	be	AUX
ejpam-3440	489	20	fuzzy	fuzzy	ADJ
ejpam-3440	489	21	supra	supra	ADJ
ejpam-3440	489	22	soft	soft	ADJ
ejpam-3440	489	23	compact	compact	ADJ
ejpam-3440	489	24	(	(	PUNCT
ejpam-3440	489	25	resp	resp	NOUN
ejpam-3440	489	26	.	.	PUNCT
ejpam-3440	490	1	fuzzy	fuzzy	ADJ
ejpam-3440	490	2	supra	supra	PROPN
ejpam-3440	490	3	soft	soft	ADJ
ejpam-3440	490	4	lindelöf	lindelöf	PROPN
ejpam-3440	490	5	)	)	PUNCT
ejpam-3440	490	6	,	,	PUNCT
ejpam-3440	490	7	if	if	SCONJ
ejpam-3440	490	8	every	every	DET
ejpam-3440	490	9	fuzzy	fuzzy	ADJ
ejpam-3440	490	10	supra	supra	NOUN
ejpam-3440	490	11	open	open	ADJ
ejpam-3440	490	12	soft	soft	ADJ
ejpam-3440	490	13	cover	cover	NOUN
ejpam-3440	490	14	{	{	PUNCT
ejpam-3440	490	15	uie	uie	NOUN
ejpam-3440	490	16	:	:	PUNCT
ejpam-3440	490	17	i∈λ	i∈λ	PROPN
ejpam-3440	490	18	}	}	PUNCT
ejpam-3440	490	19	of	of	ADP
ejpam-3440	490	20	fa	fa	PROPN
ejpam-3440	490	21	has	have	VERB
ejpam-3440	490	22	a	a	DET
ejpam-3440	490	23	finite	finite	NOUN
ejpam-3440	490	24	(	(	PUNCT
ejpam-3440	490	25	resp	resp	NOUN
ejpam-3440	490	26	.	.	PUNCT
ejpam-3440	491	1	countable	countable	ADJ
ejpam-3440	491	2	)	)	PUNCT
ejpam-3440	491	3	subfamily	subfamily	ADV
ejpam-3440	491	4	λo	λo	ADV
ejpam-3440	491	5	of	of	ADP
ejpam-3440	491	6	λ	λ	PROPN
ejpam-3440	491	7	such	such	ADJ
ejpam-3440	491	8	that	that	SCONJ
ejpam-3440	491	9	fa	fa	PROPN
ejpam-3440	491	10	v	v	NUM
ejpam-3440	491	11	t̃i∈λouie	t̃i∈λouie	NOUN
ejpam-3440	491	12	.	.	PUNCT
ejpam-3440	492	1	the	the	DET
ejpam-3440	492	2	space	space	NOUN
ejpam-3440	492	3	(	(	PUNCT
ejpam-3440	492	4	x	x	X
ejpam-3440	492	5	,	,	PUNCT
ejpam-3440	492	6	t	t	PROPN
ejpam-3440	492	7	,	,	PUNCT
ejpam-3440	492	8	e	e	NOUN
ejpam-3440	492	9	)	)	PUNCT
ejpam-3440	492	10	is	be	AUX
ejpam-3440	492	11	said	say	VERB
ejpam-3440	492	12	to	to	PART
ejpam-3440	492	13	be	be	AUX
ejpam-3440	492	14	a	a	DET
ejpam-3440	492	15	fuzzy	fuzzy	ADJ
ejpam-3440	492	16	supra	supra	ADJ
ejpam-3440	492	17	soft	soft	ADJ
ejpam-3440	492	18	compact	compact	NOUN
ejpam-3440	492	19	if	if	SCONJ
ejpam-3440	492	20	1̃e	1̃e	PROPN
ejpam-3440	492	21	is	be	AUX
ejpam-3440	492	22	a	a	DET
ejpam-3440	492	23	fuzzy	fuzzy	ADJ
ejpam-3440	492	24	supra	supra	ADJ
ejpam-3440	492	25	soft	soft	ADJ
ejpam-3440	492	26	compact	compact	NOUN
ejpam-3440	492	27	as	as	ADP
ejpam-3440	492	28	a	a	DET
ejpam-3440	492	29	fuzzy	fuzzy	ADJ
ejpam-3440	492	30	soft	soft	ADJ
ejpam-3440	492	31	subset	subset	NOUN
ejpam-3440	492	32	.	.	PUNCT
ejpam-3440	493	1	example	example	NOUN
ejpam-3440	494	1	10	10	NUM
ejpam-3440	494	2	.	.	PUNCT
ejpam-3440	495	1	let	let	VERB
ejpam-3440	495	2	(	(	PUNCT
ejpam-3440	495	3	x	x	NOUN
ejpam-3440	495	4	,	,	PUNCT
ejpam-3440	495	5	t1	t1	NOUN
ejpam-3440	495	6	,	,	PUNCT
ejpam-3440	495	7	e	e	NOUN
ejpam-3440	495	8	)	)	PUNCT
ejpam-3440	495	9	and	and	CCONJ
ejpam-3440	495	10	(	(	PUNCT
ejpam-3440	495	11	x	x	X
ejpam-3440	495	12	,	,	PUNCT
ejpam-3440	495	13	t2	t2	NOUN
ejpam-3440	495	14	,	,	PUNCT
ejpam-3440	495	15	e	e	NOUN
ejpam-3440	495	16	)	)	PUNCT
ejpam-3440	495	17	be	be	VERB
ejpam-3440	495	18	two	two	NUM
ejpam-3440	495	19	fssts	fsst	NOUN
ejpam-3440	495	20	such	such	ADJ
ejpam-3440	495	21	that	that	SCONJ
ejpam-3440	495	22	t1	t1	NOUN
ejpam-3440	495	23	⊆	⊆	NUM
ejpam-3440	495	24	t2	t2	NOUN
ejpam-3440	495	25	.	.	PUNCT
ejpam-3440	496	1	if	if	SCONJ
ejpam-3440	496	2	t2	t2	PROPN
ejpam-3440	496	3	is	be	AUX
ejpam-3440	496	4	a	a	DET
ejpam-3440	496	5	fuzzy	fuzzy	ADJ
ejpam-3440	496	6	supra	supra	ADJ
ejpam-3440	496	7	soft	soft	ADJ
ejpam-3440	496	8	compact	compact	NOUN
ejpam-3440	496	9	,	,	PUNCT
ejpam-3440	496	10	then	then	ADV
ejpam-3440	496	11	also	also	ADV
ejpam-3440	496	12	t1	t1	NOUN
ejpam-3440	496	13	.	.	PUNCT
ejpam-3440	497	1	proposition	proposition	NOUN
ejpam-3440	497	2	5	5	NUM
ejpam-3440	497	3	.	.	PUNCT
ejpam-3440	498	1	if	if	SCONJ
ejpam-3440	498	2	x	x	PRON
ejpam-3440	498	3	is	be	AUX
ejpam-3440	498	4	finite	finite	ADJ
ejpam-3440	498	5	(	(	PUNCT
ejpam-3440	498	6	resp	resp	NOUN
ejpam-3440	498	7	.	.	PUNCT
ejpam-3440	499	1	countable	countable	ADJ
ejpam-3440	499	2	)	)	PUNCT
ejpam-3440	499	3	,	,	PUNCT
ejpam-3440	499	4	then	then	ADV
ejpam-3440	499	5	(	(	PUNCT
ejpam-3440	499	6	x	x	X
ejpam-3440	499	7	,	,	PUNCT
ejpam-3440	499	8	t	t	PROPN
ejpam-3440	499	9	,	,	PUNCT
ejpam-3440	499	10	e	e	NOUN
ejpam-3440	499	11	)	)	PUNCT
ejpam-3440	499	12	is	be	AUX
ejpam-3440	499	13	fuzzy	fuzzy	ADJ
ejpam-3440	499	14	supra	supra	ADJ
ejpam-3440	499	15	soft	soft	ADJ
ejpam-3440	499	16	compact	compact	ADJ
ejpam-3440	499	17	(	(	PUNCT
ejpam-3440	499	18	resp	resp	NOUN
ejpam-3440	499	19	.	.	PUNCT
ejpam-3440	500	1	fuzzy	fuzzy	ADJ
ejpam-3440	500	2	supra	supra	PROPN
ejpam-3440	500	3	soft	soft	ADJ
ejpam-3440	500	4	lindelöf	lindelöf	PROPN
ejpam-3440	500	5	)	)	PUNCT
ejpam-3440	500	6	for	for	ADP
ejpam-3440	500	7	any	any	DET
ejpam-3440	500	8	fuzzy	fuzzy	ADJ
ejpam-3440	500	9	supra	supra	PROPN
ejpam-3440	500	10	soft	soft	ADJ
ejpam-3440	500	11	topology	topology	NOUN
ejpam-3440	500	12	t	t	NOUN
ejpam-3440	500	13	on	on	ADP
ejpam-3440	500	14	x.	x.	NOUN
ejpam-3440	500	15	proof	proof	NOUN
ejpam-3440	500	16	.	.	PUNCT
ejpam-3440	501	1	it	it	PRON
ejpam-3440	501	2	is	be	AUX
ejpam-3440	501	3	easy	easy	ADJ
ejpam-3440	501	4	to	to	PART
ejpam-3440	501	5	be	be	AUX
ejpam-3440	501	6	obtained	obtain	VERB
ejpam-3440	501	7	.	.	PUNCT
ejpam-3440	502	1	theorem	theorem	VERB
ejpam-3440	502	2	13	13	NUM
ejpam-3440	502	3	.	.	PUNCT
ejpam-3440	503	1	every	every	DET
ejpam-3440	503	2	fuzzy	fuzzy	ADJ
ejpam-3440	503	3	supra	supra	NOUN
ejpam-3440	503	4	closed	close	VERB
ejpam-3440	503	5	soft	soft	ADJ
ejpam-3440	503	6	subspace	subspace	NOUN
ejpam-3440	503	7	of	of	ADP
ejpam-3440	503	8	a	a	DET
ejpam-3440	503	9	fuzzy	fuzzy	ADJ
ejpam-3440	503	10	supra	supra	ADJ
ejpam-3440	503	11	soft	soft	ADJ
ejpam-3440	503	12	compact	compact	ADJ
ejpam-3440	503	13	space	space	NOUN
ejpam-3440	503	14	is	be	AUX
ejpam-3440	503	15	a	a	DET
ejpam-3440	503	16	fuzzy	fuzzy	ADJ
ejpam-3440	503	17	supra	supra	ADJ
ejpam-3440	503	18	soft	soft	ADJ
ejpam-3440	503	19	compact	compact	NOUN
ejpam-3440	503	20	.	.	PUNCT
ejpam-3440	504	1	a.	a.	PROPN
ejpam-3440	504	2	m.	m.	PROPN
ejpam-3440	504	3	abd	abd	PROPN
ejpam-3440	504	4	el	el	PROPN
ejpam-3440	504	5	-	-	PROPN
ejpam-3440	504	6	latif	latif	PROPN
ejpam-3440	504	7	/	/	SYM
ejpam-3440	504	8	eur	eur	PROPN
ejpam-3440	504	9	.	.	PUNCT
ejpam-3440	505	1	j.	j.	PROPN
ejpam-3440	505	2	pure	pure	PROPN
ejpam-3440	505	3	appl	appl	PROPN
ejpam-3440	505	4	.	.	PROPN
ejpam-3440	505	5	math	math	PROPN
ejpam-3440	505	6	,	,	PUNCT
ejpam-3440	505	7	12	12	NUM
ejpam-3440	505	8	(	(	PUNCT
ejpam-3440	505	9	3	3	NUM
ejpam-3440	505	10	)	)	PUNCT
ejpam-3440	505	11	(	(	PUNCT
ejpam-3440	505	12	2019	2019	NUM
ejpam-3440	505	13	)	)	PUNCT
ejpam-3440	505	14	,	,	PUNCT
ejpam-3440	505	15	999	999	NUM
ejpam-3440	505	16	-	-	SYM
ejpam-3440	505	17	1017	1017	NUM
ejpam-3440	505	18	1014	1014	NUM
ejpam-3440	505	19	proof	proof	NOUN
ejpam-3440	505	20	.	.	PUNCT
ejpam-3440	506	1	let	let	VERB
ejpam-3440	506	2	za	za	PROPN
ejpam-3440	506	3	be	be	AUX
ejpam-3440	506	4	a	a	DET
ejpam-3440	506	5	fuzzy	fuzzy	ADJ
ejpam-3440	506	6	supra	supra	NOUN
ejpam-3440	506	7	closed	close	VERB
ejpam-3440	506	8	soft	soft	ADJ
ejpam-3440	506	9	subspace	subspace	NOUN
ejpam-3440	506	10	of	of	ADP
ejpam-3440	506	11	fuzzy	fuzzy	ADJ
ejpam-3440	506	12	supra	supra	PROPN
ejpam-3440	506	13	soft	soft	ADJ
ejpam-3440	506	14	compact	compact	ADJ
ejpam-3440	506	15	space	space	NOUN
ejpam-3440	506	16	(	(	PUNCT
ejpam-3440	506	17	x	x	X
ejpam-3440	506	18	,	,	PUNCT
ejpam-3440	506	19	t	t	PROPN
ejpam-3440	506	20	,	,	PUNCT
ejpam-3440	506	21	e	e	NOUN
ejpam-3440	506	22	)	)	PUNCT
ejpam-3440	506	23	and	and	CCONJ
ejpam-3440	506	24	{	{	PUNCT
ejpam-3440	506	25	uie	uie	NOUN
ejpam-3440	506	26	:	:	PUNCT
ejpam-3440	506	27	i∈λ	i∈λ	PROPN
ejpam-3440	506	28	}	}	PUNCT
ejpam-3440	506	29	be	be	VERB
ejpam-3440	506	30	a	a	DET
ejpam-3440	506	31	fuzzy	fuzzy	ADJ
ejpam-3440	506	32	supra	supra	NOUN
ejpam-3440	506	33	open	open	ADJ
ejpam-3440	506	34	soft	soft	ADJ
ejpam-3440	506	35	cover	cover	NOUN
ejpam-3440	506	36	of	of	ADP
ejpam-3440	506	37	za	za	PROPN
ejpam-3440	506	38	.	.	PUNCT
ejpam-3440	507	1	hence	hence	ADV
ejpam-3440	507	2	,	,	PUNCT
ejpam-3440	507	3	{	{	PUNCT
ejpam-3440	507	4	uie	uie	NOUN
ejpam-3440	507	5	:	:	PUNCT
ejpam-3440	507	6	i∈λ}t	i∈λ}t	PROPN
ejpam-3440	507	7	zca	zca	PROPN
ejpam-3440	507	8	is	be	AUX
ejpam-3440	507	9	a	a	DET
ejpam-3440	507	10	fuzzy	fuzzy	ADJ
ejpam-3440	507	11	supra	supra	NOUN
ejpam-3440	507	12	open	open	ADJ
ejpam-3440	507	13	soft	soft	ADJ
ejpam-3440	507	14	cover	cover	NOUN
ejpam-3440	507	15	of	of	ADP
ejpam-3440	507	16	1̃e	1̃e	NUM
ejpam-3440	507	17	,	,	PUNCT
ejpam-3440	507	18	and	and	CCONJ
ejpam-3440	507	19	for	for	ADP
ejpam-3440	507	20	1̃e	1̃e	PROPN
ejpam-3440	507	21	is	be	AUX
ejpam-3440	507	22	fuzzy	fuzzy	ADJ
ejpam-3440	507	23	supra	supra	ADJ
ejpam-3440	507	24	soft	soft	ADJ
ejpam-3440	507	25	compact	compact	NOUN
ejpam-3440	507	26	,	,	PUNCT
ejpam-3440	507	27	there	there	PRON
ejpam-3440	507	28	exists	exist	VERB
ejpam-3440	507	29	a	a	DET
ejpam-3440	507	30	finite	finite	ADJ
ejpam-3440	507	31	subcover	subcover	PROPN
ejpam-3440	507	32	{	{	PUNCT
ejpam-3440	507	33	uie	uie	PROPN
ejpam-3440	507	34	:	:	PUNCT
ejpam-3440	507	35	i∈λo	i∈λo	PROPN
ejpam-3440	507	36	}	}	PUNCT
ejpam-3440	507	37	t	t	PROPN
ejpam-3440	507	38	zca	zca	PROPN
ejpam-3440	507	39	)	)	PUNCT
ejpam-3440	507	40	for	for	ADP
ejpam-3440	507	41	1̃e	1̃e	PROPN
ejpam-3440	507	42	.	.	PUNCT
ejpam-3440	508	1	now	now	ADV
ejpam-3440	508	2	,	,	PUNCT
ejpam-3440	508	3	[	[	X
ejpam-3440	508	4	{	{	PUNCT
ejpam-3440	508	5	uie	uie	NOUN
ejpam-3440	508	6	:	:	PUNCT
ejpam-3440	508	7	i∈λo	i∈λo	PROPN
ejpam-3440	508	8	}	}	PUNCT
ejpam-3440	508	9	t	t	PROPN
ejpam-3440	508	10	(	(	PUNCT
ejpam-3440	508	11	zca	zca	PROPN
ejpam-3440	508	12	)	)	PUNCT
ejpam-3440	508	13	]	]	PUNCT
ejpam-3440	509	1	−	−	PROPN
ejpam-3440	509	2	(	(	PUNCT
ejpam-3440	509	3	zca	zca	PROPN
ejpam-3440	509	4	)	)	PUNCT
ejpam-3440	509	5	is	be	AUX
ejpam-3440	509	6	a	a	DET
ejpam-3440	509	7	finite	finite	ADJ
ejpam-3440	509	8	subcover	subcover	NOUN
ejpam-3440	509	9	of	of	ADP
ejpam-3440	509	10	{	{	PUNCT
ejpam-3440	509	11	uie	uie	PROPN
ejpam-3440	509	12	:	:	PUNCT
ejpam-3440	509	13	i∈λ	i∈λ	PROPN
ejpam-3440	509	14	}	}	PUNCT
ejpam-3440	509	15	for	for	ADP
ejpam-3440	509	16	za	za	PROPN
ejpam-3440	509	17	.	.	PUNCT
ejpam-3440	510	1	so	so	ADV
ejpam-3440	510	2	,	,	PUNCT
ejpam-3440	510	3	za	za	PROPN
ejpam-3440	510	4	is	be	AUX
ejpam-3440	510	5	a	a	DET
ejpam-3440	510	6	fuzzy	fuzzy	ADJ
ejpam-3440	510	7	supra	supra	ADJ
ejpam-3440	510	8	soft	soft	ADJ
ejpam-3440	510	9	compact	compact	ADJ
ejpam-3440	510	10	.	.	PUNCT
ejpam-3440	511	1	theorem	theorem	VERB
ejpam-3440	511	2	14	14	NUM
ejpam-3440	511	3	.	.	PUNCT
ejpam-3440	512	1	every	every	DET
ejpam-3440	512	2	supra	supra	NOUN
ejpam-3440	512	3	closed	close	VERB
ejpam-3440	512	4	soft	soft	ADJ
ejpam-3440	512	5	subspace	subspace	NOUN
ejpam-3440	512	6	of	of	ADP
ejpam-3440	512	7	fuzzy	fuzzy	ADJ
ejpam-3440	512	8	supra	supra	PROPN
ejpam-3440	512	9	soft	soft	ADJ
ejpam-3440	512	10	lindelöf	lindelöf	NOUN
ejpam-3440	512	11	space	space	NOUN
ejpam-3440	512	12	is	be	AUX
ejpam-3440	512	13	a	a	DET
ejpam-3440	512	14	fuzzy	fuzzy	ADJ
ejpam-3440	512	15	supra	supra	ADJ
ejpam-3440	512	16	soft	soft	ADJ
ejpam-3440	512	17	lindelöf	lindelöf	NOUN
ejpam-3440	512	18	.	.	PUNCT
ejpam-3440	513	1	proof	proof	NOUN
ejpam-3440	513	2	.	.	PUNCT
ejpam-3440	514	1	it	it	PRON
ejpam-3440	514	2	is	be	AUX
ejpam-3440	514	3	similar	similar	ADJ
ejpam-3440	514	4	to	to	ADP
ejpam-3440	514	5	the	the	DET
ejpam-3440	514	6	proof	proof	NOUN
ejpam-3440	514	7	of	of	ADP
ejpam-3440	514	8	theorem	theorem	ADJ
ejpam-3440	514	9	13	13	NUM
ejpam-3440	514	10	.	.	PUNCT
ejpam-3440	515	1	theorem	theorem	VERB
ejpam-3440	515	2	15	15	NUM
ejpam-3440	515	3	.	.	PUNCT
ejpam-3440	516	1	every	every	DET
ejpam-3440	516	2	fuzzy	fuzzy	ADJ
ejpam-3440	516	3	supra	supra	ADJ
ejpam-3440	516	4	soft	soft	ADJ
ejpam-3440	516	5	subspace	subspace	NOUN
ejpam-3440	516	6	of	of	ADP
ejpam-3440	516	7	fssts	fsst	NOUN
ejpam-3440	516	8	(	(	PUNCT
ejpam-3440	516	9	x	x	X
ejpam-3440	516	10	,	,	PUNCT
ejpam-3440	516	11	t	t	PROPN
ejpam-3440	516	12	,	,	PUNCT
ejpam-3440	516	13	e	e	NOUN
ejpam-3440	516	14	)	)	PUNCT
ejpam-3440	516	15	is	be	AUX
ejpam-3440	516	16	a	a	DET
ejpam-3440	516	17	fuzzy	fuzzy	ADJ
ejpam-3440	516	18	supra	supra	ADJ
ejpam-3440	516	19	soft	soft	ADJ
ejpam-3440	516	20	compact	compact	ADJ
ejpam-3440	516	21	if	if	SCONJ
ejpam-3440	517	1	and	and	CCONJ
ejpam-3440	517	2	only	only	ADV
ejpam-3440	517	3	if	if	SCONJ
ejpam-3440	517	4	every	every	DET
ejpam-3440	517	5	fuzzy	fuzzy	ADJ
ejpam-3440	517	6	supra	supra	NOUN
ejpam-3440	517	7	open	open	ADJ
ejpam-3440	517	8	soft	soft	ADJ
ejpam-3440	517	9	subspace	subspace	NOUN
ejpam-3440	517	10	of	of	ADP
ejpam-3440	517	11	1̃e	1̃e	PROPN
ejpam-3440	517	12	is	be	AUX
ejpam-3440	517	13	a	a	DET
ejpam-3440	517	14	fuzzy	fuzzy	ADJ
ejpam-3440	517	15	supra	supra	ADJ
ejpam-3440	517	16	soft	soft	ADJ
ejpam-3440	517	17	compact	compact	ADJ
ejpam-3440	517	18	.	.	PUNCT
ejpam-3440	518	1	proof	proof	NOUN
ejpam-3440	518	2	.	.	PUNCT
ejpam-3440	519	1	let	let	AUX
ejpam-3440	519	2	(	(	PUNCT
ejpam-3440	519	3	y	y	NOUN
ejpam-3440	519	4	,	,	PUNCT
ejpam-3440	519	5	tye	tye	NOUN
ejpam-3440	519	6	,	,	PUNCT
ejpam-3440	519	7	e	e	X
ejpam-3440	519	8	)	)	PUNCT
ejpam-3440	519	9	be	be	AUX
ejpam-3440	519	10	a	a	DET
ejpam-3440	519	11	fuzzy	fuzzy	ADJ
ejpam-3440	519	12	supra	supra	NOUN
ejpam-3440	519	13	open	open	ADJ
ejpam-3440	519	14	soft	soft	ADJ
ejpam-3440	519	15	subspace	subspace	NOUN
ejpam-3440	519	16	of	of	ADP
ejpam-3440	519	17	a	a	DET
ejpam-3440	519	18	fssts	fsst	NOUN
ejpam-3440	519	19	(	(	PUNCT
ejpam-3440	519	20	x	x	X
ejpam-3440	519	21	,	,	PUNCT
ejpam-3440	519	22	t	t	PROPN
ejpam-3440	519	23	,	,	PUNCT
ejpam-3440	519	24	e	e	NOUN
ejpam-3440	519	25	)	)	PUNCT
ejpam-3440	519	26	and	and	CCONJ
ejpam-3440	519	27	{	{	PUNCT
ejpam-3440	519	28	uαe	uαe	NOUN
ejpam-3440	519	29	:	:	PUNCT
ejpam-3440	519	30	α∈λ	α∈λ	NOUN
ejpam-3440	519	31	}	}	PUNCT
ejpam-3440	519	32	be	be	AUX
ejpam-3440	519	33	a	a	DET
ejpam-3440	519	34	fuzzy	fuzzy	ADJ
ejpam-3440	519	35	supra	supra	NOUN
ejpam-3440	519	36	open	open	ADJ
ejpam-3440	519	37	soft	soft	ADJ
ejpam-3440	519	38	cover	cover	NOUN
ejpam-3440	519	39	of	of	ADP
ejpam-3440	519	40	(	(	PUNCT
ejpam-3440	519	41	y	y	PROPN
ejpam-3440	519	42	,	,	PUNCT
ejpam-3440	519	43	tye	tye	NOUN
ejpam-3440	519	44	,	,	PUNCT
ejpam-3440	519	45	e	e	NOUN
ejpam-3440	519	46	)	)	PUNCT
ejpam-3440	519	47	.	.	PUNCT
ejpam-3440	520	1	assume	assume	VERB
ejpam-3440	520	2	that	that	SCONJ
ejpam-3440	520	3	vc	vc	PROPN
ejpam-3440	520	4	=	=	PUNCT
ejpam-3440	520	5	tα∈λuαe	tα∈λuαe	NOUN
ejpam-3440	520	6	.	.	PUNCT
ejpam-3440	521	1	hence	hence	ADV
ejpam-3440	521	2	vc	vc	PROPN
ejpam-3440	521	3	is	be	AUX
ejpam-3440	521	4	a	a	DET
ejpam-3440	521	5	fuzzy	fuzzy	ADJ
ejpam-3440	521	6	supra	supra	NOUN
ejpam-3440	521	7	open	open	ADJ
ejpam-3440	521	8	soft	soft	ADJ
ejpam-3440	521	9	subspace	subspace	NOUN
ejpam-3440	521	10	of	of	ADP
ejpam-3440	521	11	1̃e	1̃e	PROPN
ejpam-3440	521	12	.	.	PUNCT
ejpam-3440	522	1	by	by	ADP
ejpam-3440	522	2	hypothesis	hypothesis	NOUN
ejpam-3440	522	3	,	,	PUNCT
ejpam-3440	522	4	vc	vc	PROPN
ejpam-3440	522	5	is	be	AUX
ejpam-3440	522	6	a	a	DET
ejpam-3440	522	7	fuzzy	fuzzy	ADJ
ejpam-3440	522	8	supra	supra	ADJ
ejpam-3440	522	9	soft	soft	ADJ
ejpam-3440	522	10	compact	compact	NOUN
ejpam-3440	522	11	.	.	PUNCT
ejpam-3440	523	1	so	so	ADV
ejpam-3440	523	2	,	,	PUNCT
ejpam-3440	523	3	{	{	PUNCT
ejpam-3440	523	4	uαe	uαe	NOUN
ejpam-3440	523	5	:	:	PUNCT
ejpam-3440	523	6	α	α	PROPN
ejpam-3440	523	7	∈	∈	PROPN
ejpam-3440	524	1	λo	λo	NOUN
ejpam-3440	524	2	,	,	PUNCT
ejpam-3440	524	3	λo	λo	PROPN
ejpam-3440	524	4	is	be	AUX
ejpam-3440	524	5	finite	finite	ADJ
ejpam-3440	524	6	}	}	PUNCT
ejpam-3440	524	7	is	be	AUX
ejpam-3440	524	8	a	a	DET
ejpam-3440	524	9	finite	finite	ADJ
ejpam-3440	524	10	subcover	subcover	NOUN
ejpam-3440	524	11	of	of	ADP
ejpam-3440	524	12	vc	vc	PROPN
ejpam-3440	524	13	.	.	PUNCT
ejpam-3440	525	1	it	it	PRON
ejpam-3440	525	2	is	be	AUX
ejpam-3440	525	3	follows	follow	VERB
ejpam-3440	525	4	,	,	PUNCT
ejpam-3440	525	5	vc	vc	PROPN
ejpam-3440	525	6	v	v	NOUN
ejpam-3440	525	7	tα∈λouαe	tα∈λouαe	PROPN
ejpam-3440	525	8	.	.	PUNCT
ejpam-3440	526	1	thus	thus	ADV
ejpam-3440	526	2	,	,	PUNCT
ejpam-3440	526	3	ye	ye	PROPN
ejpam-3440	526	4	v	v	NOUN
ejpam-3440	526	5	vc	vc	PROPN
ejpam-3440	526	6	v	v	NOUN
ejpam-3440	526	7	tα∈λouαe	tα∈λouαe	PROPN
ejpam-3440	526	8	.	.	PUNCT
ejpam-3440	527	1	therefore	therefore	ADV
ejpam-3440	527	2	,	,	PUNCT
ejpam-3440	527	3	(	(	PUNCT
ejpam-3440	527	4	y	y	NOUN
ejpam-3440	527	5	,	,	PUNCT
ejpam-3440	527	6	tye	tye	NOUN
ejpam-3440	527	7	,	,	PUNCT
ejpam-3440	527	8	e	e	X
ejpam-3440	527	9	)	)	PUNCT
ejpam-3440	527	10	is	be	AUX
ejpam-3440	527	11	a	a	DET
ejpam-3440	527	12	fuzzy	fuzzy	ADJ
ejpam-3440	527	13	supra	supra	ADJ
ejpam-3440	527	14	soft	soft	ADJ
ejpam-3440	527	15	compact	compact	NOUN
ejpam-3440	527	16	.	.	PUNCT
ejpam-3440	528	1	for	for	ADP
ejpam-3440	528	2	the	the	DET
ejpam-3440	528	3	necessity	necessity	NOUN
ejpam-3440	528	4	,	,	PUNCT
ejpam-3440	528	5	it	it	PRON
ejpam-3440	528	6	is	be	AUX
ejpam-3440	528	7	clear	clear	ADJ
ejpam-3440	528	8	.	.	PUNCT
ejpam-3440	529	1	theorem	theorem	VERB
ejpam-3440	529	2	16	16	NUM
ejpam-3440	529	3	.	.	PUNCT
ejpam-3440	530	1	every	every	DET
ejpam-3440	530	2	fuzzy	fuzzy	ADJ
ejpam-3440	530	3	supra	supra	ADJ
ejpam-3440	530	4	soft	soft	ADJ
ejpam-3440	530	5	subspace	subspace	NOUN
ejpam-3440	530	6	of	of	ADP
ejpam-3440	530	7	fssts	fsst	NOUN
ejpam-3440	530	8	(	(	PUNCT
ejpam-3440	530	9	x	x	X
ejpam-3440	530	10	,	,	PUNCT
ejpam-3440	530	11	t	t	PROPN
ejpam-3440	530	12	,	,	PUNCT
ejpam-3440	530	13	e	e	NOUN
ejpam-3440	530	14	)	)	PUNCT
ejpam-3440	530	15	is	be	AUX
ejpam-3440	530	16	a	a	DET
ejpam-3440	530	17	fuzzy	fuzzy	ADJ
ejpam-3440	530	18	supra	supra	ADJ
ejpam-3440	530	19	soft	soft	ADJ
ejpam-3440	530	20	lindelöf	lindelöf	NOUN
ejpam-3440	530	21	if	if	SCONJ
ejpam-3440	530	22	and	and	CCONJ
ejpam-3440	530	23	only	only	ADV
ejpam-3440	530	24	if	if	SCONJ
ejpam-3440	530	25	every	every	DET
ejpam-3440	530	26	fuzzy	fuzzy	ADJ
ejpam-3440	530	27	supra	supra	NOUN
ejpam-3440	530	28	open	open	ADJ
ejpam-3440	530	29	soft	soft	ADJ
ejpam-3440	530	30	subspace	subspace	NOUN
ejpam-3440	530	31	of	of	ADP
ejpam-3440	530	32	1̃e	1̃e	PROPN
ejpam-3440	530	33	is	be	AUX
ejpam-3440	530	34	a	a	DET
ejpam-3440	530	35	fuzzy	fuzzy	ADJ
ejpam-3440	530	36	supra	supra	ADJ
ejpam-3440	530	37	soft	soft	ADJ
ejpam-3440	530	38	lindelöf	lindelöf	NOUN
ejpam-3440	530	39	.	.	PUNCT
ejpam-3440	531	1	proof	proof	NOUN
ejpam-3440	531	2	.	.	PUNCT
ejpam-3440	532	1	it	it	PRON
ejpam-3440	532	2	similar	similar	ADJ
ejpam-3440	532	3	to	to	ADP
ejpam-3440	532	4	the	the	DET
ejpam-3440	532	5	proof	proof	NOUN
ejpam-3440	532	6	of	of	ADP
ejpam-3440	532	7	theorem	theorem	ADJ
ejpam-3440	532	8	15	15	NUM
ejpam-3440	532	9	.	.	PUNCT
ejpam-3440	532	10	theorem	theorem	NOUN
ejpam-3440	532	11	17	17	NUM
ejpam-3440	532	12	.	.	PUNCT
ejpam-3440	533	1	let	let	VERB
ejpam-3440	533	2	(	(	PUNCT
ejpam-3440	533	3	x	x	NOUN
ejpam-3440	533	4	,	,	PUNCT
ejpam-3440	533	5	t1	t1	NOUN
ejpam-3440	533	6	,	,	PUNCT
ejpam-3440	533	7	e	e	NOUN
ejpam-3440	533	8	)	)	PUNCT
ejpam-3440	533	9	and	and	CCONJ
ejpam-3440	533	10	(	(	PUNCT
ejpam-3440	533	11	y	y	NOUN
ejpam-3440	533	12	,	,	PUNCT
ejpam-3440	533	13	t2,k	t2,k	PROPN
ejpam-3440	533	14	)	)	PUNCT
ejpam-3440	533	15	be	be	VERB
ejpam-3440	533	16	two	two	NUM
ejpam-3440	533	17	fssts	fsst	NOUN
ejpam-3440	533	18	and	and	CCONJ
ejpam-3440	533	19	let	let	VERB
ejpam-3440	533	20	fpu:(x	fpu:(x	PROPN
ejpam-3440	533	21	,	,	PUNCT
ejpam-3440	533	22	t1	t1	NOUN
ejpam-3440	533	23	,	,	PUNCT
ejpam-3440	533	24	e)→(y	e)→(y	PROPN
ejpam-3440	533	25	,	,	PUNCT
ejpam-3440	533	26	t2,k	t2,k	PROPN
ejpam-3440	533	27	)	)	PUNCT
ejpam-3440	533	28	be	be	AUX
ejpam-3440	533	29	a	a	DET
ejpam-3440	533	30	surjective	surjective	ADJ
ejpam-3440	533	31	and	and	CCONJ
ejpam-3440	533	32	fss	fss	ADJ
ejpam-3440	533	33	-	-	PUNCT
ejpam-3440	533	34	continuous	continuous	ADJ
ejpam-3440	533	35	function	function	NOUN
ejpam-3440	533	36	.	.	PUNCT
ejpam-3440	534	1	if	if	SCONJ
ejpam-3440	534	2	(	(	PUNCT
ejpam-3440	534	3	x	x	NOUN
ejpam-3440	534	4	,	,	PUNCT
ejpam-3440	534	5	t1	t1	NOUN
ejpam-3440	534	6	,	,	PUNCT
ejpam-3440	534	7	e	e	NOUN
ejpam-3440	534	8	)	)	PUNCT
ejpam-3440	534	9	is	be	AUX
ejpam-3440	534	10	fuzzy	fuzzy	ADJ
ejpam-3440	534	11	supra	supra	ADJ
ejpam-3440	534	12	soft	soft	ADJ
ejpam-3440	534	13	compact	compact	NOUN
ejpam-3440	534	14	,	,	PUNCT
ejpam-3440	534	15	then	then	ADV
ejpam-3440	534	16	(	(	PUNCT
ejpam-3440	534	17	y	y	NOUN
ejpam-3440	534	18	,	,	PUNCT
ejpam-3440	534	19	t2,k	t2,k	PROPN
ejpam-3440	534	20	)	)	PUNCT
ejpam-3440	534	21	is	be	AUX
ejpam-3440	534	22	also	also	ADV
ejpam-3440	534	23	fuzzy	fuzzy	ADJ
ejpam-3440	534	24	supra	supra	ADJ
ejpam-3440	534	25	soft	soft	ADJ
ejpam-3440	534	26	compact	compact	ADJ
ejpam-3440	534	27	.	.	PUNCT
ejpam-3440	535	1	proof	proof	NOUN
ejpam-3440	535	2	.	.	PUNCT
ejpam-3440	536	1	let	let	VERB
ejpam-3440	536	2	{	{	PUNCT
ejpam-3440	536	3	uik	uik	NOUN
ejpam-3440	536	4	:	:	PUNCT
ejpam-3440	536	5	i∈λ	i∈λ	PROPN
ejpam-3440	536	6	}	}	PUNCT
ejpam-3440	536	7	be	be	VERB
ejpam-3440	536	8	a	a	DET
ejpam-3440	536	9	fuzzy	fuzzy	ADJ
ejpam-3440	536	10	supra	supra	NOUN
ejpam-3440	536	11	open	open	ADJ
ejpam-3440	536	12	soft	soft	ADJ
ejpam-3440	536	13	cover	cover	NOUN
ejpam-3440	536	14	of	of	ADP
ejpam-3440	536	15	1̃k	1̃k	PROPN
ejpam-3440	536	16	.	.	PUNCT
ejpam-3440	537	1	since	since	SCONJ
ejpam-3440	537	2	fpu	fpu	PROPN
ejpam-3440	537	3	is	be	AUX
ejpam-3440	537	4	a	a	DET
ejpam-3440	537	5	fsscontinuous	fsscontinuous	ADJ
ejpam-3440	537	6	,	,	PUNCT
ejpam-3440	537	7	{	{	PUNCT
ejpam-3440	537	8	f−1	f−1	PROPN
ejpam-3440	537	9	pu	pu	PROPN
ejpam-3440	537	10	(	(	PUNCT
ejpam-3440	537	11	uik	uik	PROPN
ejpam-3440	537	12	)	)	PUNCT
ejpam-3440	537	13	:	:	PUNCT
ejpam-3440	537	14	i∈λ	i∈λ	PROPN
ejpam-3440	537	15	}	}	PUNCT
ejpam-3440	537	16	is	be	AUX
ejpam-3440	537	17	a	a	DET
ejpam-3440	537	18	fuzzy	fuzzy	ADJ
ejpam-3440	537	19	supra	supra	NOUN
ejpam-3440	537	20	open	open	ADJ
ejpam-3440	537	21	soft	soft	ADJ
ejpam-3440	537	22	cover	cover	NOUN
ejpam-3440	537	23	of	of	ADP
ejpam-3440	537	24	1̃e	1̃e	NUM
ejpam-3440	537	25	,	,	PUNCT
ejpam-3440	537	26	and	and	CCONJ
ejpam-3440	537	27	for	for	ADP
ejpam-3440	537	28	1̃e	1̃e	PROPN
ejpam-3440	537	29	is	be	AUX
ejpam-3440	537	30	a	a	DET
ejpam-3440	537	31	fuzzy	fuzzy	ADJ
ejpam-3440	537	32	supra	supra	ADJ
ejpam-3440	537	33	soft	soft	ADJ
ejpam-3440	537	34	compact	compact	NOUN
ejpam-3440	537	35	,	,	PUNCT
ejpam-3440	537	36	there	there	PRON
ejpam-3440	537	37	exists	exist	VERB
ejpam-3440	537	38	a	a	DET
ejpam-3440	537	39	finite	finite	NOUN
ejpam-3440	537	40	subfamily	subfamily	ADV
ejpam-3440	537	41	λo	λo	ADV
ejpam-3440	537	42	of	of	ADP
ejpam-3440	537	43	λ	λ	PROPN
ejpam-3440	537	44	such	such	ADJ
ejpam-3440	537	45	that	that	SCONJ
ejpam-3440	537	46	{	{	PUNCT
ejpam-3440	537	47	f−1	f−1	PROPN
ejpam-3440	537	48	pu	pu	PROPN
ejpam-3440	537	49	(	(	PUNCT
ejpam-3440	537	50	uik	uik	PROPN
ejpam-3440	537	51	)	)	PUNCT
ejpam-3440	537	52	:	:	PUNCT
ejpam-3440	537	53	i∈λo	i∈λo	PROPN
ejpam-3440	537	54	}	}	PUNCT
ejpam-3440	537	55	also	also	ADV
ejpam-3440	537	56	forms	form	VERB
ejpam-3440	537	57	a	a	DET
ejpam-3440	537	58	fuzzy	fuzzy	ADJ
ejpam-3440	537	59	supra	supra	NOUN
ejpam-3440	537	60	open	open	ADJ
ejpam-3440	537	61	soft	soft	ADJ
ejpam-3440	537	62	cover	cover	NOUN
ejpam-3440	537	63	of	of	ADP
ejpam-3440	537	64	1̃e	1̃e	PROPN
ejpam-3440	537	65	.	.	PUNCT
ejpam-3440	538	1	since	since	SCONJ
ejpam-3440	538	2	fpu	fpu	PROPN
ejpam-3440	538	3	is	be	AUX
ejpam-3440	538	4	surjective	surjective	ADJ
ejpam-3440	538	5	,	,	PUNCT
ejpam-3440	538	6	{	{	PUNCT
ejpam-3440	538	7	fpu(f−1	fpu(f−1	PROPN
ejpam-3440	538	8	pu	pu	PROPN
ejpam-3440	538	9	(	(	PUNCT
ejpam-3440	538	10	uik	uik	NOUN
ejpam-3440	538	11	)	)	PUNCT
ejpam-3440	538	12	)	)	PUNCT
ejpam-3440	538	13	:	:	PUNCT
ejpam-3440	538	14	i∈λo	i∈λo	ADJ
ejpam-3440	538	15	}	}	PUNCT
ejpam-3440	538	16	=	=	SYM
ejpam-3440	538	17	{	{	PUNCT
ejpam-3440	538	18	uik	uik	NOUN
ejpam-3440	538	19	:	:	PUNCT
ejpam-3440	538	20	i∈λo	i∈λo	PROPN
ejpam-3440	538	21	}	}	PUNCT
ejpam-3440	538	22	forms	form	VERB
ejpam-3440	538	23	a	a	DET
ejpam-3440	538	24	finite	finite	ADJ
ejpam-3440	538	25	fuzzy	fuzzy	ADJ
ejpam-3440	538	26	supra	supra	PROPN
ejpam-3440	538	27	open	open	ADJ
ejpam-3440	538	28	soft	soft	ADJ
ejpam-3440	538	29	cover	cover	NOUN
ejpam-3440	538	30	of	of	ADP
ejpam-3440	538	31	1̃k	1̃k	PROPN
ejpam-3440	538	32	.	.	PUNCT
ejpam-3440	539	1	this	this	PRON
ejpam-3440	539	2	competes	compete	VERB
ejpam-3440	539	3	the	the	DET
ejpam-3440	539	4	proof	proof	NOUN
ejpam-3440	539	5	.	.	PUNCT
ejpam-3440	540	1	theorem	theorem	ADJ
ejpam-3440	540	2	18	18	NUM
ejpam-3440	540	3	.	.	PUNCT
ejpam-3440	541	1	let	let	VERB
ejpam-3440	541	2	(	(	PUNCT
ejpam-3440	541	3	x	x	NOUN
ejpam-3440	541	4	,	,	PUNCT
ejpam-3440	541	5	t1	t1	NOUN
ejpam-3440	541	6	,	,	PUNCT
ejpam-3440	541	7	e	e	NOUN
ejpam-3440	541	8	)	)	PUNCT
ejpam-3440	541	9	and	and	CCONJ
ejpam-3440	541	10	(	(	PUNCT
ejpam-3440	541	11	y	y	NOUN
ejpam-3440	541	12	,	,	PUNCT
ejpam-3440	541	13	t2,k	t2,k	PROPN
ejpam-3440	541	14	)	)	PUNCT
ejpam-3440	541	15	be	be	VERB
ejpam-3440	541	16	two	two	NUM
ejpam-3440	541	17	fssts	fsst	NOUN
ejpam-3440	541	18	and	and	CCONJ
ejpam-3440	541	19	let	let	VERB
ejpam-3440	541	20	fpu:(x	fpu:(x	PROPN
ejpam-3440	541	21	,	,	PUNCT
ejpam-3440	541	22	t1	t1	NOUN
ejpam-3440	541	23	,	,	PUNCT
ejpam-3440	541	24	e)→(y	e)→(y	PROPN
ejpam-3440	541	25	,	,	PUNCT
ejpam-3440	541	26	t2,k	t2,k	PROPN
ejpam-3440	541	27	)	)	PUNCT
ejpam-3440	541	28	be	be	AUX
ejpam-3440	541	29	a	a	DET
ejpam-3440	541	30	surjective	surjective	ADJ
ejpam-3440	541	31	and	and	CCONJ
ejpam-3440	541	32	fss	fss	ADJ
ejpam-3440	541	33	-	-	PUNCT
ejpam-3440	541	34	continuous	continuous	ADJ
ejpam-3440	541	35	function	function	NOUN
ejpam-3440	541	36	.	.	PUNCT
ejpam-3440	542	1	if	if	SCONJ
ejpam-3440	542	2	(	(	PUNCT
ejpam-3440	542	3	x	x	NOUN
ejpam-3440	542	4	,	,	PUNCT
ejpam-3440	542	5	t1	t1	NOUN
ejpam-3440	542	6	,	,	PUNCT
ejpam-3440	542	7	e	e	NOUN
ejpam-3440	542	8	)	)	PUNCT
ejpam-3440	542	9	is	be	AUX
ejpam-3440	542	10	fuzzy	fuzzy	ADJ
ejpam-3440	542	11	supra	supra	PROPN
ejpam-3440	542	12	soft	soft	ADJ
ejpam-3440	542	13	lindelöf	lindelöf	PROPN
ejpam-3440	542	14	,	,	PUNCT
ejpam-3440	542	15	then	then	ADV
ejpam-3440	542	16	(	(	PUNCT
ejpam-3440	542	17	y	y	NOUN
ejpam-3440	542	18	,	,	PUNCT
ejpam-3440	542	19	t2,k	t2,k	PROPN
ejpam-3440	542	20	)	)	PUNCT
ejpam-3440	542	21	is	be	AUX
ejpam-3440	542	22	also	also	ADV
ejpam-3440	542	23	fuzzy	fuzzy	ADJ
ejpam-3440	542	24	supra	supra	PROPN
ejpam-3440	542	25	soft	soft	ADJ
ejpam-3440	542	26	lindelöf	lindelöf	NOUN
ejpam-3440	542	27	.	.	PUNCT
ejpam-3440	543	1	proof	proof	NOUN
ejpam-3440	543	2	.	.	PUNCT
ejpam-3440	544	1	it	it	PRON
ejpam-3440	544	2	is	be	AUX
ejpam-3440	544	3	similar	similar	ADJ
ejpam-3440	544	4	to	to	ADP
ejpam-3440	544	5	the	the	DET
ejpam-3440	544	6	proof	proof	NOUN
ejpam-3440	544	7	of	of	ADP
ejpam-3440	544	8	theorem	theorem	ADJ
ejpam-3440	544	9	17	17	NUM
ejpam-3440	544	10	.	.	PUNCT
ejpam-3440	545	1	references	reference	NOUN
ejpam-3440	545	2	1015	1015	NUM
ejpam-3440	545	3	6	6	NUM
ejpam-3440	545	4	.	.	PUNCT
ejpam-3440	546	1	conclusion	conclusion	NOUN
ejpam-3440	546	2	in	in	ADP
ejpam-3440	546	3	this	this	DET
ejpam-3440	546	4	paper	paper	NOUN
ejpam-3440	546	5	,	,	PUNCT
ejpam-3440	546	6	we	we	PRON
ejpam-3440	546	7	introduce	introduce	VERB
ejpam-3440	546	8	and	and	CCONJ
ejpam-3440	546	9	study	study	VERB
ejpam-3440	546	10	the	the	DET
ejpam-3440	546	11	notion	notion	NOUN
ejpam-3440	546	12	of	of	ADP
ejpam-3440	546	13	fuzzy	fuzzy	ADJ
ejpam-3440	546	14	supra	supra	PROPN
ejpam-3440	546	15	soft	soft	ADJ
ejpam-3440	546	16	topological	topological	ADJ
ejpam-3440	546	17	spaces	space	NOUN
ejpam-3440	546	18	.	.	PUNCT
ejpam-3440	547	1	we	we	PRON
ejpam-3440	547	2	introduce	introduce	VERB
ejpam-3440	547	3	the	the	DET
ejpam-3440	547	4	some	some	DET
ejpam-3440	547	5	new	new	ADJ
ejpam-3440	547	6	concepts	concept	NOUN
ejpam-3440	547	7	in	in	ADP
ejpam-3440	547	8	fuzzy	fuzzy	ADJ
ejpam-3440	547	9	supra	supra	PROPN
ejpam-3440	547	10	soft	soft	ADJ
ejpam-3440	547	11	topological	topological	ADJ
ejpam-3440	547	12	spaces	space	NOUN
ejpam-3440	547	13	.	.	PUNCT
ejpam-3440	548	1	since	since	SCONJ
ejpam-3440	548	2	the	the	DET
ejpam-3440	548	3	authors	author	NOUN
ejpam-3440	548	4	introduced	introduce	VERB
ejpam-3440	548	5	topological	topological	ADJ
ejpam-3440	548	6	structures	structure	NOUN
ejpam-3440	548	7	on	on	ADP
ejpam-3440	548	8	fuzzy	fuzzy	ADJ
ejpam-3440	548	9	soft	soft	ADJ
ejpam-3440	548	10	sets	set	NOUN
ejpam-3440	548	11	[	[	X
ejpam-3440	548	12	10	10	NUM
ejpam-3440	548	13	,	,	PUNCT
ejpam-3440	548	14	18	18	NUM
ejpam-3440	548	15	]	]	PUNCT
ejpam-3440	548	16	,	,	PUNCT
ejpam-3440	548	17	so	so	ADV
ejpam-3440	548	18	some	some	PRON
ejpam-3440	548	19	of	of	ADP
ejpam-3440	548	20	the	the	DET
ejpam-3440	548	21	fuzzy	fuzzy	ADJ
ejpam-3440	548	22	soft	soft	ADJ
ejpam-3440	548	23	topological	topological	ADJ
ejpam-3440	548	24	properties	property	NOUN
ejpam-3440	548	25	is	be	AUX
ejpam-3440	548	26	generalized	generalize	VERB
ejpam-3440	548	27	here	here	ADV
ejpam-3440	548	28	to	to	ADP
ejpam-3440	548	29	fuzzy	fuzzy	ADJ
ejpam-3440	548	30	supra	supra	PROPN
ejpam-3440	548	31	soft	soft	ADJ
ejpam-3440	548	32	topological	topological	ADJ
ejpam-3440	548	33	spaces	space	NOUN
ejpam-3440	548	34	which	which	PRON
ejpam-3440	548	35	are	be	AUX
ejpam-3440	548	36	basic	basic	ADJ
ejpam-3440	548	37	for	for	ADP
ejpam-3440	548	38	further	further	ADJ
ejpam-3440	548	39	research	research	NOUN
ejpam-3440	548	40	on	on	ADP
ejpam-3440	548	41	fuzzy	fuzzy	ADJ
ejpam-3440	548	42	supra	supra	PROPN
ejpam-3440	548	43	soft	soft	ADJ
ejpam-3440	548	44	topological	topological	ADJ
ejpam-3440	548	45	spaces	space	NOUN
ejpam-3440	548	46	.	.	PUNCT
ejpam-3440	549	1	in	in	ADP
ejpam-3440	549	2	future	future	NOUN
ejpam-3440	549	3	,	,	PUNCT
ejpam-3440	549	4	we	we	PRON
ejpam-3440	549	5	will	will	AUX
ejpam-3440	549	6	introduce	introduce	VERB
ejpam-3440	549	7	and	and	CCONJ
ejpam-3440	549	8	generalize	generalize	VERB
ejpam-3440	549	9	more	more	ADV
ejpam-3440	549	10	fuzzy	fuzzy	ADJ
ejpam-3440	549	11	soft	soft	ADJ
ejpam-3440	549	12	topological	topological	ADJ
ejpam-3440	549	13	properties	property	NOUN
ejpam-3440	549	14	in	in	ADP
ejpam-3440	549	15	previous	previous	ADJ
ejpam-3440	549	16	studies	study	NOUN
ejpam-3440	549	17	to	to	ADP
ejpam-3440	549	18	such	such	ADJ
ejpam-3440	549	19	spaces	space	NOUN
ejpam-3440	549	20	and	and	CCONJ
ejpam-3440	549	21	the	the	DET
ejpam-3440	549	22	future	future	ADJ
ejpam-3440	549	23	research	research	NOUN
ejpam-3440	549	24	will	will	AUX
ejpam-3440	549	25	be	be	AUX
ejpam-3440	549	26	undertaken	undertake	VERB
ejpam-3440	549	27	in	in	ADP
ejpam-3440	549	28	this	this	DET
ejpam-3440	549	29	direction	direction	NOUN
ejpam-3440	549	30	.	.	PUNCT
ejpam-3440	550	1	conflict	conflict	NOUN
ejpam-3440	550	2	of	of	ADP
ejpam-3440	550	3	interest	interest	NOUN
ejpam-3440	550	4	we	we	PRON
ejpam-3440	550	5	declare	declare	VERB
ejpam-3440	550	6	that	that	SCONJ
ejpam-3440	550	7	,	,	PUNCT
ejpam-3440	550	8	there	there	PRON
ejpam-3440	550	9	is	be	VERB
ejpam-3440	550	10	no	no	DET
ejpam-3440	550	11	conflict	conflict	NOUN
ejpam-3440	550	12	of	of	ADP
ejpam-3440	550	13	interest	interest	NOUN
ejpam-3440	550	14	regarding	regard	VERB
ejpam-3440	550	15	the	the	DET
ejpam-3440	550	16	publication	publication	NOUN
ejpam-3440	550	17	of	of	ADP
ejpam-3440	550	18	this	this	DET
ejpam-3440	550	19	manuscript	manuscript	NOUN
ejpam-3440	550	20	.	.	PUNCT
ejpam-3440	551	1	acknowledgments	acknowledgment	NOUN
ejpam-3440	551	2	the	the	DET
ejpam-3440	551	3	author	author	NOUN
ejpam-3440	551	4	gratefully	gratefully	ADV
ejpam-3440	551	5	acknowledges	acknowledge	VERB
ejpam-3440	551	6	the	the	DET
ejpam-3440	551	7	approval	approval	NOUN
ejpam-3440	551	8	and	and	CCONJ
ejpam-3440	551	9	the	the	DET
ejpam-3440	551	10	support	support	NOUN
ejpam-3440	551	11	of	of	ADP
ejpam-3440	551	12	this	this	DET
ejpam-3440	551	13	research	research	NOUN
ejpam-3440	551	14	study	study	NOUN
ejpam-3440	551	15	by	by	ADP
ejpam-3440	551	16	the	the	DET
ejpam-3440	551	17	grant	grant	PROPN
ejpam-3440	551	18	no	no	PROPN
ejpam-3440	551	19	.	.	PUNCT
ejpam-3440	551	20	sar-2017	sar-2017	NOUN
ejpam-3440	551	21	-	-	PUNCT
ejpam-3440	551	22	1	1	NUM
ejpam-3440	551	23	-	-	PUNCT
ejpam-3440	551	24	8	8	NUM
ejpam-3440	551	25	-	-	PUNCT
ejpam-3440	551	26	f-7205	f-7205	NOUN
ejpam-3440	551	27	,	,	PUNCT
ejpam-3440	551	28	k.	k.	PROPN
ejpam-3440	551	29	s.	s.	PROPN
ejpam-3440	551	30	a.	a.	PROPN
ejpam-3440	551	31	from	from	ADP
ejpam-3440	551	32	the	the	DET
ejpam-3440	551	33	deanship	deanship	NOUN
ejpam-3440	551	34	of	of	ADP
ejpam-3440	551	35	scientific	scientific	ADJ
ejpam-3440	551	36	research	research	NOUN
ejpam-3440	551	37	at	at	ADP
ejpam-3440	551	38	northern	northern	ADJ
ejpam-3440	551	39	border	border	NOUN
ejpam-3440	551	40	university	university	PROPN
ejpam-3440	551	41	,	,	PUNCT
ejpam-3440	551	42	arar	arar	PROPN
ejpam-3440	551	43	,	,	PUNCT
ejpam-3440	551	44	k.	k.	PROPN
ejpam-3440	551	45	s.	s.	PROPN
ejpam-3440	551	46	a.	a.	PROPN
ejpam-3440	551	47	references	reference	NOUN
ejpam-3440	552	1	[	[	X
ejpam-3440	552	2	1	1	NUM
ejpam-3440	552	3	]	]	PUNCT
ejpam-3440	552	4	a.	a.	NOUN
ejpam-3440	552	5	m.	m.	PROPN
ejpam-3440	552	6	abd	abd	PROPN
ejpam-3440	552	7	el	el	PROPN
ejpam-3440	552	8	-	-	PROPN
ejpam-3440	552	9	latif	latif	PROPN
ejpam-3440	552	10	,	,	PUNCT
ejpam-3440	552	11	characterizations	characterization	NOUN
ejpam-3440	552	12	of	of	ADP
ejpam-3440	552	13	fuzzy	fuzzy	ADJ
ejpam-3440	552	14	soft	soft	ADJ
ejpam-3440	552	15	pre	pre	NOUN
ejpam-3440	552	16	separation	separation	NOUN
ejpam-3440	552	17	axioms	axiom	NOUN
ejpam-3440	552	18	,	,	PUNCT
ejpam-3440	552	19	journal	journal	NOUN
ejpam-3440	552	20	of	of	ADP
ejpam-3440	552	21	new	new	ADJ
ejpam-3440	552	22	theory	theory	NOUN
ejpam-3440	552	23	,	,	PUNCT
ejpam-3440	552	24	7	7	NUM
ejpam-3440	552	25	(	(	PUNCT
ejpam-3440	552	26	2015	2015	NUM
ejpam-3440	552	27	)	)	PUNCT
ejpam-3440	552	28	,	,	PUNCT
ejpam-3440	552	29	47	47	NUM
ejpam-3440	552	30	-	-	SYM
ejpam-3440	552	31	63	63	NUM
ejpam-3440	552	32	.	.	PUNCT
ejpam-3440	553	1	[	[	X
ejpam-3440	553	2	2	2	NUM
ejpam-3440	553	3	]	]	PUNCT
ejpam-3440	553	4	a.	a.	NOUN
ejpam-3440	553	5	m.	m.	PROPN
ejpam-3440	553	6	abd	abd	PROPN
ejpam-3440	553	7	el	el	PROPN
ejpam-3440	553	8	-	-	PROPN
ejpam-3440	553	9	latif	latif	PROPN
ejpam-3440	553	10	,	,	PUNCT
ejpam-3440	553	11	fuzzy	fuzzy	ADJ
ejpam-3440	553	12	soft	soft	ADJ
ejpam-3440	553	13	α	α	NOUN
ejpam-3440	553	14	-	-	PUNCT
ejpam-3440	553	15	separation	separation	NOUN
ejpam-3440	553	16	axioms	axiom	NOUN
ejpam-3440	553	17	via	via	ADP
ejpam-3440	553	18	fuzzy	fuzzy	ADJ
ejpam-3440	553	19	α	α	VERB
ejpam-3440	553	20	-	-	ADJ
ejpam-3440	553	21	open	open	ADJ
ejpam-3440	553	22	soft	soft	ADJ
ejpam-3440	553	23	sets	set	NOUN
ejpam-3440	553	24	,	,	PUNCT
ejpam-3440	553	25	the	the	DET
ejpam-3440	553	26	journal	journal	NOUN
ejpam-3440	553	27	of	of	ADP
ejpam-3440	553	28	fuzzy	fuzzy	ADJ
ejpam-3440	553	29	mathematics	mathematic	NOUN
ejpam-3440	553	30	,	,	PUNCT
ejpam-3440	553	31	24	24	NUM
ejpam-3440	553	32	(	(	PUNCT
ejpam-3440	553	33	2	2	NUM
ejpam-3440	553	34	)	)	PUNCT
ejpam-3440	553	35	(	(	PUNCT
ejpam-3440	553	36	2016	2016	NUM
ejpam-3440	553	37	)	)	PUNCT
ejpam-3440	553	38	,	,	PUNCT
ejpam-3440	553	39	413	413	NUM
ejpam-3440	553	40	-	-	SYM
ejpam-3440	553	41	432	432	NUM
ejpam-3440	553	42	.	.	PUNCT
ejpam-3440	554	1	[	[	X
ejpam-3440	554	2	3	3	NUM
ejpam-3440	554	3	]	]	PUNCT
ejpam-3440	554	4	a.	a.	NOUN
ejpam-3440	554	5	m.	m.	PROPN
ejpam-3440	554	6	abd	abd	PROPN
ejpam-3440	554	7	el	el	PROPN
ejpam-3440	554	8	-	-	PROPN
ejpam-3440	554	9	latif	latif	PROPN
ejpam-3440	554	10	,	,	PUNCT
ejpam-3440	554	11	fuzzy	fuzzy	ADJ
ejpam-3440	554	12	soft	soft	ADJ
ejpam-3440	554	13	separation	separation	NOUN
ejpam-3440	554	14	axioms	axiom	NOUN
ejpam-3440	554	15	based	base	VERB
ejpam-3440	554	16	on	on	ADP
ejpam-3440	554	17	fuzzy	fuzzy	ADJ
ejpam-3440	554	18	β	β	ADJ
ejpam-3440	554	19	-	-	ADJ
ejpam-3440	554	20	open	open	ADJ
ejpam-3440	554	21	soft	soft	ADJ
ejpam-3440	554	22	sets	set	NOUN
ejpam-3440	554	23	,	,	PUNCT
ejpam-3440	554	24	ann	ann	PROPN
ejpam-3440	554	25	.	.	PROPN
ejpam-3440	554	26	fuzzy	fuzzy	ADJ
ejpam-3440	554	27	math	math	NOUN
ejpam-3440	554	28	.	.	PUNCT
ejpam-3440	555	1	inform	inform	NOUN
ejpam-3440	555	2	.	.	PUNCT
ejpam-3440	556	1	,	,	PUNCT
ejpam-3440	556	2	11	11	NUM
ejpam-3440	556	3	(	(	PUNCT
ejpam-3440	556	4	2	2	NUM
ejpam-3440	556	5	)	)	PUNCT
ejpam-3440	556	6	2016	2016	NUM
ejpam-3440	556	7	,	,	PUNCT
ejpam-3440	556	8	223	223	NUM
ejpam-3440	556	9	-	-	SYM
ejpam-3440	556	10	239	239	NUM
ejpam-3440	556	11	.	.	PUNCT
ejpam-3440	557	1	[	[	X
ejpam-3440	557	2	4	4	NUM
ejpam-3440	557	3	]	]	PUNCT
ejpam-3440	557	4	a.	a.	NOUN
ejpam-3440	557	5	m.	m.	PROPN
ejpam-3440	557	6	abd	abd	PROPN
ejpam-3440	557	7	el	el	PROPN
ejpam-3440	557	8	-	-	PROPN
ejpam-3440	557	9	latif	latif	PROPN
ejpam-3440	557	10	and	and	CCONJ
ejpam-3440	557	11	serkan	serkan	PROPN
ejpam-3440	557	12	karatas	karata	NOUN
ejpam-3440	557	13	,	,	PUNCT
ejpam-3440	557	14	supra	supra	PROPN
ejpam-3440	557	15	b	b	PROPN
ejpam-3440	557	16	-	-	PUNCT
ejpam-3440	557	17	open	open	ADJ
ejpam-3440	557	18	soft	soft	ADJ
ejpam-3440	557	19	sets	set	NOUN
ejpam-3440	557	20	and	and	CCONJ
ejpam-3440	557	21	supra	supra	PROPN
ejpam-3440	557	22	b	b	NOUN
ejpam-3440	557	23	-	-	PUNCT
ejpam-3440	557	24	soft	soft	ADJ
ejpam-3440	557	25	continuity	continuity	NOUN
ejpam-3440	557	26	on	on	ADP
ejpam-3440	557	27	soft	soft	ADJ
ejpam-3440	557	28	topological	topological	ADJ
ejpam-3440	557	29	spaces	space	NOUN
ejpam-3440	557	30	,	,	PUNCT
ejpam-3440	557	31	journal	journal	NOUN
ejpam-3440	557	32	of	of	ADP
ejpam-3440	557	33	mathematics	mathematics	PROPN
ejpam-3440	557	34	and	and	CCONJ
ejpam-3440	557	35	computer	computer	NOUN
ejpam-3440	557	36	applications	application	NOUN
ejpam-3440	557	37	research	research	NOUN
ejpam-3440	557	38	,	,	PUNCT
ejpam-3440	557	39	5	5	NUM
ejpam-3440	557	40	(	(	PUNCT
ejpam-3440	557	41	1	1	NUM
ejpam-3440	557	42	)	)	PUNCT
ejpam-3440	557	43	(	(	PUNCT
ejpam-3440	557	44	2015	2015	NUM
ejpam-3440	557	45	)	)	PUNCT
ejpam-3440	557	46	,	,	PUNCT
ejpam-3440	557	47	1	1	NUM
ejpam-3440	557	48	-	-	SYM
ejpam-3440	557	49	18	18	NUM
ejpam-3440	557	50	.	.	PUNCT
ejpam-3440	558	1	[	[	X
ejpam-3440	558	2	5	5	NUM
ejpam-3440	558	3	]	]	PUNCT
ejpam-3440	558	4	a.	a.	NOUN
ejpam-3440	558	5	m.	m.	PROPN
ejpam-3440	558	6	abd	abd	PROPN
ejpam-3440	558	7	el	el	PROPN
ejpam-3440	558	8	-	-	PROPN
ejpam-3440	558	9	latif	latif	PROPN
ejpam-3440	558	10	,	,	PUNCT
ejpam-3440	558	11	soft	soft	ADJ
ejpam-3440	558	12	supra	supra	NOUN
ejpam-3440	558	13	strongly	strongly	ADV
ejpam-3440	558	14	generalized	generalize	VERB
ejpam-3440	558	15	closed	closed	ADJ
ejpam-3440	558	16	sets	set	NOUN
ejpam-3440	558	17	,	,	PUNCT
ejpam-3440	558	18	intelligent	intelligent	ADJ
ejpam-3440	558	19	&	&	CCONJ
ejpam-3440	558	20	fuzzy	fuzzy	ADJ
ejpam-3440	558	21	system	system	NOUN
ejpam-3440	558	22	,	,	PUNCT
ejpam-3440	558	23	31	31	NUM
ejpam-3440	558	24	(	(	PUNCT
ejpam-3440	558	25	3	3	NUM
ejpam-3440	558	26	)	)	PUNCT
ejpam-3440	558	27	(	(	PUNCT
ejpam-3440	558	28	2016	2016	NUM
ejpam-3440	558	29	)	)	PUNCT
ejpam-3440	558	30	,	,	PUNCT
ejpam-3440	558	31	1311–1317	1311–1317	NUM
ejpam-3440	558	32	.	.	PUNCT
ejpam-3440	559	1	[	[	X
ejpam-3440	559	2	6	6	NUM
ejpam-3440	559	3	]	]	PUNCT
ejpam-3440	559	4	a.	a.	NOUN
ejpam-3440	559	5	m.	m.	PROPN
ejpam-3440	559	6	abd	abd	PROPN
ejpam-3440	559	7	el	el	PROPN
ejpam-3440	559	8	-	-	PROPN
ejpam-3440	559	9	latif	latif	PROPN
ejpam-3440	559	10	,	,	PUNCT
ejpam-3440	559	11	some	some	DET
ejpam-3440	559	12	fuzzy	fuzzy	ADJ
ejpam-3440	559	13	soft	soft	ADJ
ejpam-3440	559	14	topological	topological	ADJ
ejpam-3440	559	15	properties	property	NOUN
ejpam-3440	559	16	based	base	VERB
ejpam-3440	559	17	on	on	ADP
ejpam-3440	559	18	fuzzy	fuzzy	ADJ
ejpam-3440	559	19	b	b	X
ejpam-3440	559	20	-	-	PUNCT
ejpam-3440	559	21	open	open	ADJ
ejpam-3440	559	22	soft	soft	ADJ
ejpam-3440	559	23	sets	set	NOUN
ejpam-3440	559	24	,	,	PUNCT
ejpam-3440	559	25	journal	journal	NOUN
ejpam-3440	559	26	of	of	ADP
ejpam-3440	559	27	the	the	DET
ejpam-3440	559	28	indian	indian	ADJ
ejpam-3440	559	29	math	math	PROPN
ejpam-3440	559	30	.	.	PUNCT
ejpam-3440	560	1	soc	soc	PROPN
ejpam-3440	560	2	.	.	PUNCT
ejpam-3440	561	1	,	,	PUNCT
ejpam-3440	561	2	83	83	NUM
ejpam-3440	561	3	(	(	PUNCT
ejpam-3440	561	4	3	3	NUM
ejpam-3440	561	5	-	-	SYM
ejpam-3440	561	6	4)(2016	4)(2016	NUM
ejpam-3440	561	7	)	)	PUNCT
ejpam-3440	561	8	,	,	PUNCT
ejpam-3440	561	9	251	251	NUM
ejpam-3440	561	10	-	-	SYM
ejpam-3440	561	11	267	267	NUM
ejpam-3440	561	12	.	.	PUNCT
ejpam-3440	562	1	[	[	X
ejpam-3440	562	2	7	7	X
ejpam-3440	562	3	]	]	PUNCT
ejpam-3440	562	4	m.	m.	NOUN
ejpam-3440	562	5	e.	e.	PROPN
ejpam-3440	562	6	abd	abd	PROPN
ejpam-3440	563	1	el	el	PROPN
ejpam-3440	563	2	-	-	PROPN
ejpam-3440	563	3	monsef	monsef	PROPN
ejpam-3440	563	4	and	and	CCONJ
ejpam-3440	563	5	a.	a.	PROPN
ejpam-3440	563	6	e.	e.	PROPN
ejpam-3440	563	7	ramadan	ramadan	PROPN
ejpam-3440	563	8	,	,	PUNCT
ejpam-3440	563	9	on	on	ADP
ejpam-3440	563	10	fuzzy	fuzzy	ADJ
ejpam-3440	563	11	supra	supra	PROPN
ejpam-3440	563	12	topological	topological	PROPN
ejpam-3440	563	13	spaces	space	NOUN
ejpam-3440	563	14	,	,	PUNCT
ejpam-3440	563	15	indian	indian	PROPN
ejpam-3440	563	16	j.	j.	PROPN
ejpam-3440	563	17	pure	pure	PROPN
ejpam-3440	563	18	and	and	CCONJ
ejpam-3440	563	19	appl	appl	PROPN
ejpam-3440	563	20	.	.	PROPN
ejpam-3440	564	1	math	math	PROPN
ejpam-3440	564	2	.	.	PUNCT
ejpam-3440	565	1	,	,	PUNCT
ejpam-3440	565	2	18	18	NUM
ejpam-3440	565	3	(	(	PUNCT
ejpam-3440	565	4	4	4	NUM
ejpam-3440	565	5	)	)	PUNCT
ejpam-3440	565	6	(	(	PUNCT
ejpam-3440	565	7	1987	1987	NUM
ejpam-3440	565	8	)	)	PUNCT
ejpam-3440	565	9	,	,	PUNCT
ejpam-3440	565	10	322	322	NUM
ejpam-3440	565	11	-	-	SYM
ejpam-3440	565	12	329	329	NUM
ejpam-3440	565	13	.	.	PUNCT
ejpam-3440	566	1	references	reference	NOUN
ejpam-3440	566	2	1016	1016	NUM
ejpam-3440	567	1	[	[	X
ejpam-3440	567	2	8	8	NUM
ejpam-3440	567	3	]	]	X
ejpam-3440	567	4	b.	b.	PROPN
ejpam-3440	567	5	ahmad	ahmad	PROPN
ejpam-3440	567	6	and	and	CCONJ
ejpam-3440	567	7	a.	a.	PROPN
ejpam-3440	567	8	kharal	kharal	PROPN
ejpam-3440	567	9	,	,	PUNCT
ejpam-3440	567	10	mappings	mapping	NOUN
ejpam-3440	567	11	on	on	ADP
ejpam-3440	567	12	fuzzy	fuzzy	ADJ
ejpam-3440	567	13	soft	soft	ADJ
ejpam-3440	567	14	classes	class	NOUN
ejpam-3440	567	15	,	,	PUNCT
ejpam-3440	567	16	adv	adv	PROPN
ejpam-3440	567	17	.	.	PUNCT
ejpam-3440	567	18	fuzzy	fuzzy	ADJ
ejpam-3440	567	19	syst	syst	PROPN
ejpam-3440	567	20	.	.	PUNCT
ejpam-3440	567	21	2009	2009	NUM
ejpam-3440	567	22	,	,	PUNCT
ejpam-3440	567	23	art	art	NOUN
ejpam-3440	567	24	.	.	PUNCT
ejpam-3440	568	1	i	i	PRON
ejpam-3440	568	2	d	d	PROPN
ejpam-3440	568	3	407890	407890	NUM
ejpam-3440	568	4	,	,	PUNCT
ejpam-3440	568	5	6	6	NUM
ejpam-3440	568	6	pp	pp	NOUN
ejpam-3440	568	7	.	.	PUNCT
ejpam-3440	568	8	,	,	PUNCT
ejpam-3440	568	9	doi:10.1155/2009/407890	doi:10.1155/2009/407890	PROPN
ejpam-3440	568	10	.	.	PUNCT
ejpam-3440	569	1	[	[	X
ejpam-3440	569	2	9	9	NUM
ejpam-3440	569	3	]	]	X
ejpam-3440	569	4	b.	b.	PROPN
ejpam-3440	569	5	ahmad	ahmad	PROPN
ejpam-3440	569	6	and	and	CCONJ
ejpam-3440	569	7	a.	a.	PROPN
ejpam-3440	569	8	kharal	kharal	PROPN
ejpam-3440	569	9	,	,	PUNCT
ejpam-3440	569	10	mappings	mapping	NOUN
ejpam-3440	569	11	on	on	ADP
ejpam-3440	569	12	soft	soft	ADJ
ejpam-3440	569	13	classes	class	NOUN
ejpam-3440	569	14	,	,	PUNCT
ejpam-3440	569	15	new	new	ADJ
ejpam-3440	569	16	math	math	NOUN
ejpam-3440	569	17	.	.	PUNCT
ejpam-3440	570	1	nat	nat	PROPN
ejpam-3440	570	2	.	.	PUNCT
ejpam-3440	571	1	comput	comput	PROPN
ejpam-3440	571	2	.	.	PUNCT
ejpam-3440	572	1	,	,	PUNCT
ejpam-3440	572	2	7	7	NUM
ejpam-3440	572	3	(	(	PUNCT
ejpam-3440	572	4	3	3	NUM
ejpam-3440	572	5	)	)	PUNCT
ejpam-3440	572	6	(	(	PUNCT
ejpam-3440	572	7	2011	2011	NUM
ejpam-3440	572	8	)	)	PUNCT
ejpam-3440	572	9	,	,	PUNCT
ejpam-3440	572	10	471	471	NUM
ejpam-3440	572	11	-	-	SYM
ejpam-3440	572	12	481	481	NUM
ejpam-3440	572	13	.	.	PUNCT
ejpam-3440	573	1	[	[	X
ejpam-3440	573	2	10	10	NUM
ejpam-3440	573	3	]	]	SYM
ejpam-3440	573	4	bakir	bakir	NOUN
ejpam-3440	573	5	tanay	tanay	NOUN
ejpam-3440	573	6	and	and	CCONJ
ejpam-3440	573	7	m.	m.	NOUN
ejpam-3440	573	8	burcl	burcl	NOUN
ejpam-3440	573	9	kandemir	kandemir	PROPN
ejpam-3440	573	10	,	,	PUNCT
ejpam-3440	573	11	topological	topological	ADJ
ejpam-3440	573	12	structure	structure	NOUN
ejpam-3440	573	13	of	of	ADP
ejpam-3440	573	14	fuzzy	fuzzy	ADJ
ejpam-3440	573	15	soft	soft	ADJ
ejpam-3440	573	16	sets	set	NOUN
ejpam-3440	573	17	,	,	PUNCT
ejpam-3440	573	18	comput	comput	NOUN
ejpam-3440	573	19	.	.	PUNCT
ejpam-3440	574	1	math	math	NOUN
ejpam-3440	574	2	.	.	PUNCT
ejpam-3440	575	1	appl	appl	PROPN
ejpam-3440	575	2	.	.	PROPN
ejpam-3440	575	3	,	,	PUNCT
ejpam-3440	575	4	(	(	PUNCT
ejpam-3440	575	5	61)(2011	61)(2011	NUM
ejpam-3440	575	6	)	)	PUNCT
ejpam-3440	575	7	2952	2952	NUM
ejpam-3440	575	8	-	-	SYM
ejpam-3440	575	9	2957	2957	NUM
ejpam-3440	575	10	.	.	PUNCT
ejpam-3440	576	1	[	[	X
ejpam-3440	576	2	11	11	NUM
ejpam-3440	576	3	]	]	PUNCT
ejpam-3440	576	4	k.	k.	NOUN
ejpam-3440	576	5	borgohain	borgohain	NOUN
ejpam-3440	576	6	,	,	PUNCT
ejpam-3440	576	7	fuzzy	fuzzy	ADJ
ejpam-3440	576	8	soft	soft	ADJ
ejpam-3440	576	9	compact	compact	ADJ
ejpam-3440	576	10	spaces	space	NOUN
ejpam-3440	576	11	,	,	PUNCT
ejpam-3440	576	12	international	international	ADJ
ejpam-3440	576	13	journal	journal	NOUN
ejpam-3440	576	14	of	of	ADP
ejpam-3440	576	15	mathematics	mathematics	NOUN
ejpam-3440	576	16	trends	trend	NOUN
ejpam-3440	576	17	and	and	CCONJ
ejpam-3440	576	18	technology	technology	NOUN
ejpam-3440	576	19	,	,	PUNCT
ejpam-3440	576	20	5	5	NUM
ejpam-3440	576	21	(	(	PUNCT
ejpam-3440	576	22	2014	2014	NUM
ejpam-3440	576	23	)	)	PUNCT
ejpam-3440	576	24	,	,	PUNCT
ejpam-3440	576	25	6	6	NUM
ejpam-3440	576	26	-	-	SYM
ejpam-3440	576	27	9	9	NUM
ejpam-3440	576	28	.	.	PUNCT
ejpam-3440	577	1	[	[	X
ejpam-3440	577	2	12	12	NUM
ejpam-3440	577	3	]	]	X
ejpam-3440	577	4	n.	n.	NOUN
ejpam-3440	577	5	cagman	cagman	PROPN
ejpam-3440	577	6	and	and	CCONJ
ejpam-3440	577	7	s.	s.	PROPN
ejpam-3440	577	8	enginoglu	enginoglu	PROPN
ejpam-3440	577	9	,	,	PUNCT
ejpam-3440	577	10	soft	soft	ADJ
ejpam-3440	577	11	set	set	NOUN
ejpam-3440	577	12	theory	theory	NOUN
ejpam-3440	577	13	and	and	CCONJ
ejpam-3440	577	14	uni	uni	ADJ
ejpam-3440	577	15	-	-	ADJ
ejpam-3440	577	16	fint	fint	ADJ
ejpam-3440	577	17	decision	decision	NOUN
ejpam-3440	577	18	making	making	NOUN
ejpam-3440	577	19	,	,	PUNCT
ejpam-3440	577	20	european	european	ADJ
ejpam-3440	577	21	journal	journal	PROPN
ejpam-3440	577	22	of	of	ADP
ejpam-3440	577	23	operational	operational	ADJ
ejpam-3440	577	24	research	research	NOUN
ejpam-3440	577	25	,	,	PUNCT
ejpam-3440	577	26	207	207	NUM
ejpam-3440	577	27	(	(	PUNCT
ejpam-3440	577	28	2010	2010	NUM
ejpam-3440	577	29	)	)	PUNCT
ejpam-3440	577	30	,	,	PUNCT
ejpam-3440	577	31	848	848	NUM
ejpam-3440	577	32	-	-	SYM
ejpam-3440	577	33	855	855	NUM
ejpam-3440	577	34	.	.	PUNCT
ejpam-3440	578	1	[	[	X
ejpam-3440	578	2	13	13	NUM
ejpam-3440	578	3	]	]	X
ejpam-3440	578	4	n.	n.	PROPN
ejpam-3440	578	5	cagman	cagman	PROPN
ejpam-3440	578	6	,	,	PUNCT
ejpam-3440	578	7	s.	s.	PROPN
ejpam-3440	578	8	karatas	karatas	PROPN
ejpam-3440	578	9	,	,	PUNCT
ejpam-3440	578	10	n.	n.	PROPN
ejpam-3440	578	11	s.	s.	PROPN
ejpam-3440	578	12	enginoglu	enginoglu	PROPN
ejpam-3440	578	13	,	,	PUNCT
ejpam-3440	578	14	soft	soft	ADJ
ejpam-3440	578	15	topology	topology	NOUN
ejpam-3440	578	16	,	,	PUNCT
ejpam-3440	578	17	comput	comput	NOUN
ejpam-3440	578	18	.	.	PUNCT
ejpam-3440	579	1	math	math	NOUN
ejpam-3440	579	2	.	.	PUNCT
ejpam-3440	580	1	appl	appl	PROPN
ejpam-3440	580	2	.	.	PUNCT
ejpam-3440	581	1	62	62	NUM
ejpam-3440	581	2	(	(	PUNCT
ejpam-3440	581	3	2011	2011	NUM
ejpam-3440	581	4	)	)	PUNCT
ejpam-3440	581	5	,	,	PUNCT
ejpam-3440	581	6	351	351	NUM
ejpam-3440	581	7	-	-	SYM
ejpam-3440	581	8	358	358	NUM
ejpam-3440	581	9	.	.	PUNCT
ejpam-3440	582	1	[	[	X
ejpam-3440	582	2	14	14	NUM
ejpam-3440	582	3	]	]	X
ejpam-3440	582	4	c.	c.	PROPN
ejpam-3440	582	5	l.	l.	PROPN
ejpam-3440	582	6	chang	chang	PROPN
ejpam-3440	582	7	,	,	PUNCT
ejpam-3440	582	8	fuzzy	fuzzy	ADJ
ejpam-3440	582	9	topological	topological	ADJ
ejpam-3440	582	10	spaces	space	NOUN
ejpam-3440	582	11	,	,	PUNCT
ejpam-3440	582	12	j.	j.	PROPN
ejpam-3440	582	13	math	math	PROPN
ejpam-3440	582	14	.	.	PUNCT
ejpam-3440	583	1	anal	anal	PROPN
ejpam-3440	583	2	.	.	PUNCT
ejpam-3440	584	1	appl	appl	PROPN
ejpam-3440	584	2	.	.	PROPN
ejpam-3440	584	3	,	,	PUNCT
ejpam-3440	584	4	24	24	NUM
ejpam-3440	584	5	(	(	PUNCT
ejpam-3440	584	6	1968	1968	NUM
ejpam-3440	584	7	)	)	PUNCT
ejpam-3440	584	8	,	,	PUNCT
ejpam-3440	584	9	182	182	NUM
ejpam-3440	584	10	-	-	SYM
ejpam-3440	584	11	190	190	NUM
ejpam-3440	584	12	.	.	PUNCT
ejpam-3440	585	1	[	[	X
ejpam-3440	585	2	15	15	NUM
ejpam-3440	585	3	]	]	X
ejpam-3440	585	4	cigdem	cigdem	ADJ
ejpam-3440	585	5	gunduz	gunduz	NOUN
ejpam-3440	585	6	and	and	CCONJ
ejpam-3440	585	7	sadi	sadi	PROPN
ejpam-3440	585	8	bayramov	bayramov	PROPN
ejpam-3440	585	9	,	,	PUNCT
ejpam-3440	585	10	some	some	DET
ejpam-3440	585	11	results	result	NOUN
ejpam-3440	585	12	on	on	ADP
ejpam-3440	585	13	fuzzy	fuzzy	ADJ
ejpam-3440	585	14	soft	soft	ADJ
ejpam-3440	585	15	topological	topological	ADJ
ejpam-3440	585	16	spaces	space	NOUN
ejpam-3440	585	17	,	,	PUNCT
ejpam-3440	585	18	mathematical	mathematical	ADJ
ejpam-3440	585	19	problems	problem	NOUN
ejpam-3440	585	20	in	in	ADP
ejpam-3440	585	21	engineering	engineering	NOUN
ejpam-3440	585	22	,	,	PUNCT
ejpam-3440	585	23	2013	2013	NUM
ejpam-3440	585	24	,	,	PUNCT
ejpam-3440	585	25	art	art	NOUN
ejpam-3440	585	26	.	.	PUNCT
ejpam-3440	586	1	i	i	PRON
ejpam-3440	586	2	d	d	PROPN
ejpam-3440	586	3	835308	835308	NUM
ejpam-3440	586	4	,	,	PUNCT
ejpam-3440	586	5	10	10	NUM
ejpam-3440	586	6	pp	pp	NOUN
ejpam-3440	586	7	.	.	PUNCT
ejpam-3440	587	1	[	[	X
ejpam-3440	587	2	16	16	NUM
ejpam-3440	587	3	]	]	PUNCT
ejpam-3440	587	4	s.	s.	PROPN
ejpam-3440	587	5	a.	a.	PROPN
ejpam-3440	587	6	el	el	PROPN
ejpam-3440	587	7	-	-	PUNCT
ejpam-3440	587	8	sheikh	sheikh	PROPN
ejpam-3440	587	9	and	and	CCONJ
ejpam-3440	587	10	a.	a.	NOUN
ejpam-3440	587	11	m.	m.	NOUN
ejpam-3440	587	12	abd	abd	PROPN
ejpam-3440	587	13	el	el	PROPN
ejpam-3440	587	14	-	-	PROPN
ejpam-3440	587	15	latif	latif	PROPN
ejpam-3440	587	16	,	,	PUNCT
ejpam-3440	587	17	decompositions	decomposition	NOUN
ejpam-3440	587	18	of	of	ADP
ejpam-3440	587	19	some	some	DET
ejpam-3440	587	20	types	type	NOUN
ejpam-3440	587	21	of	of	ADP
ejpam-3440	587	22	supra	supra	ADJ
ejpam-3440	587	23	soft	soft	ADJ
ejpam-3440	587	24	sets	set	NOUN
ejpam-3440	587	25	and	and	CCONJ
ejpam-3440	587	26	soft	soft	ADJ
ejpam-3440	587	27	continuity	continuity	NOUN
ejpam-3440	587	28	,	,	PUNCT
ejpam-3440	587	29	international	international	ADJ
ejpam-3440	587	30	journal	journal	NOUN
ejpam-3440	587	31	of	of	ADP
ejpam-3440	587	32	mathematics	mathematics	NOUN
ejpam-3440	587	33	trends	trend	NOUN
ejpam-3440	587	34	and	and	CCONJ
ejpam-3440	587	35	technology	technology	NOUN
ejpam-3440	587	36	,	,	PUNCT
ejpam-3440	587	37	9	9	NUM
ejpam-3440	587	38	(	(	PUNCT
ejpam-3440	587	39	1	1	NUM
ejpam-3440	587	40	)	)	PUNCT
ejpam-3440	587	41	(	(	PUNCT
ejpam-3440	587	42	2014	2014	NUM
ejpam-3440	587	43	)	)	PUNCT
ejpam-3440	587	44	,	,	PUNCT
ejpam-3440	587	45	37	37	NUM
ejpam-3440	587	46	-	-	SYM
ejpam-3440	587	47	56	56	NUM
ejpam-3440	587	48	.	.	PUNCT
ejpam-3440	588	1	[	[	X
ejpam-3440	588	2	17	17	NUM
ejpam-3440	588	3	]	]	X
ejpam-3440	588	4	p.	p.	NOUN
ejpam-3440	588	5	gain	gain	NOUN
ejpam-3440	588	6	,	,	PUNCT
ejpam-3440	588	7	r.	r.	PROPN
ejpam-3440	588	8	chakraborty	chakraborty	PROPN
ejpam-3440	588	9	and	and	CCONJ
ejpam-3440	588	10	m.	m.	NOUN
ejpam-3440	588	11	pal	pal	NOUN
ejpam-3440	588	12	,	,	PUNCT
ejpam-3440	588	13	on	on	ADP
ejpam-3440	588	14	compact	compact	ADJ
ejpam-3440	588	15	and	and	CCONJ
ejpam-3440	588	16	semicumpact	semicumpact	VERB
ejpam-3440	588	17	fuzzy	fuzzy	ADJ
ejpam-3440	588	18	soft	soft	ADJ
ejpam-3440	588	19	topological	topological	ADJ
ejpam-3440	588	20	spaces	space	NOUN
ejpam-3440	588	21	,	,	PUNCT
ejpam-3440	588	22	j.	j.	PROPN
ejpam-3440	588	23	math	math	PROPN
ejpam-3440	588	24	.	.	PUNCT
ejpam-3440	589	1	comput	comput	NOUN
ejpam-3440	589	2	.	.	PUNCT
ejpam-3440	590	1	sci	sci	PROPN
ejpam-3440	590	2	.	.	PROPN
ejpam-3440	590	3	,	,	PUNCT
ejpam-3440	590	4	4	4	NUM
ejpam-3440	590	5	(	(	PUNCT
ejpam-3440	590	6	2	2	NUM
ejpam-3440	590	7	)	)	PUNCT
ejpam-3440	590	8	(	(	PUNCT
ejpam-3440	590	9	2014	2014	NUM
ejpam-3440	590	10	)	)	PUNCT
ejpam-3440	590	11	425	425	NUM
ejpam-3440	590	12	-	-	SYM
ejpam-3440	590	13	445	445	NUM
ejpam-3440	590	14	.	.	PUNCT
ejpam-3440	591	1	[	[	X
ejpam-3440	591	2	18	18	NUM
ejpam-3440	591	3	]	]	X
ejpam-3440	591	4	jianyu	jianyu	PROPN
ejpam-3440	591	5	xiao	xiao	PROPN
ejpam-3440	591	6	,	,	PUNCT
ejpam-3440	591	7	minming	minme	VERB
ejpam-3440	591	8	tong	tong	PROPN
ejpam-3440	591	9	,	,	PUNCT
ejpam-3440	591	10	qi	qi	PROPN
ejpam-3440	591	11	fan	fan	PROPN
ejpam-3440	591	12	and	and	CCONJ
ejpam-3440	591	13	su	su	PROPN
ejpam-3440	591	14	xiao	xiao	PROPN
ejpam-3440	591	15	,	,	PUNCT
ejpam-3440	591	16	generalization	generalization	NOUN
ejpam-3440	591	17	of	of	ADP
ejpam-3440	591	18	belief	belief	NOUN
ejpam-3440	591	19	and	and	CCONJ
ejpam-3440	591	20	plausibility	plausibility	NOUN
ejpam-3440	591	21	functions	function	NOUN
ejpam-3440	591	22	to	to	ADP
ejpam-3440	591	23	fuzzy	fuzzy	ADJ
ejpam-3440	591	24	sets	set	NOUN
ejpam-3440	591	25	,	,	PUNCT
ejpam-3440	591	26	applied	apply	VERB
ejpam-3440	591	27	mathematics	mathematic	NOUN
ejpam-3440	591	28	information	information	NOUN
ejpam-3440	591	29	sciences	science	NOUN
ejpam-3440	591	30	,	,	PUNCT
ejpam-3440	591	31	6	6	NUM
ejpam-3440	591	32	(	(	PUNCT
ejpam-3440	591	33	2012	2012	NUM
ejpam-3440	591	34	)	)	PUNCT
ejpam-3440	591	35	697	697	NUM
ejpam-3440	591	36	-	-	SYM
ejpam-3440	591	37	703	703	NUM
ejpam-3440	591	38	.	.	PUNCT
ejpam-3440	592	1	[	[	X
ejpam-3440	592	2	19	19	NUM
ejpam-3440	592	3	]	]	PUNCT
ejpam-3440	592	4	a.	a.	NOUN
ejpam-3440	592	5	kandil	kandil	PROPN
ejpam-3440	592	6	,	,	PUNCT
ejpam-3440	592	7	o.	o.	PROPN
ejpam-3440	592	8	a.	a.	PROPN
ejpam-3440	592	9	e.	e.	PROPN
ejpam-3440	592	10	tantawy	tantawy	PROPN
ejpam-3440	592	11	,	,	PUNCT
ejpam-3440	592	12	s.	s.	PROPN
ejpam-3440	592	13	a.	a.	PROPN
ejpam-3440	592	14	el	el	PROPN
ejpam-3440	592	15	-	-	PUNCT
ejpam-3440	592	16	sheikh	sheikh	PROPN
ejpam-3440	592	17	and	and	CCONJ
ejpam-3440	592	18	a.	a.	NOUN
ejpam-3440	592	19	m.	m.	NOUN
ejpam-3440	592	20	abd	abd	PROPN
ejpam-3440	592	21	el	el	PROPN
ejpam-3440	592	22	-	-	PROPN
ejpam-3440	592	23	latif	latif	PROPN
ejpam-3440	592	24	,	,	PUNCT
ejpam-3440	592	25	some	some	DET
ejpam-3440	592	26	fuzzy	fuzzy	ADJ
ejpam-3440	592	27	soft	soft	ADJ
ejpam-3440	592	28	topological	topological	ADJ
ejpam-3440	592	29	properties	property	NOUN
ejpam-3440	592	30	based	base	VERB
ejpam-3440	592	31	on	on	ADP
ejpam-3440	592	32	fuzzy	fuzzy	ADJ
ejpam-3440	592	33	semi	semi	ADJ
ejpam-3440	592	34	open	open	ADJ
ejpam-3440	592	35	soft	soft	ADJ
ejpam-3440	592	36	sets	set	NOUN
ejpam-3440	592	37	,	,	PUNCT
ejpam-3440	592	38	south	south	ADJ
ejpam-3440	592	39	asian	asian	PROPN
ejpam-3440	592	40	j.	j.	PROPN
ejpam-3440	592	41	math	math	PROPN
ejpam-3440	592	42	.	.	PUNCT
ejpam-3440	592	43	,	,	PUNCT
ejpam-3440	592	44	4	4	NUM
ejpam-3440	592	45	(	(	PUNCT
ejpam-3440	592	46	4	4	NUM
ejpam-3440	592	47	)	)	PUNCT
ejpam-3440	592	48	(	(	PUNCT
ejpam-3440	592	49	2014	2014	NUM
ejpam-3440	592	50	)	)	PUNCT
ejpam-3440	592	51	,	,	PUNCT
ejpam-3440	592	52	154	154	NUM
ejpam-3440	592	53	-	-	SYM
ejpam-3440	592	54	169	169	NUM
ejpam-3440	592	55	.	.	PUNCT
ejpam-3440	593	1	[	[	X
ejpam-3440	593	2	20	20	NUM
ejpam-3440	593	3	]	]	PUNCT
ejpam-3440	593	4	a.	a.	NOUN
ejpam-3440	593	5	kandil	kandil	PROPN
ejpam-3440	593	6	,	,	PUNCT
ejpam-3440	593	7	o.	o.	PROPN
ejpam-3440	593	8	a.	a.	PROPN
ejpam-3440	593	9	e.	e.	PROPN
ejpam-3440	593	10	tantawy	tantawy	PROPN
ejpam-3440	593	11	,	,	PUNCT
ejpam-3440	593	12	s.	s.	PROPN
ejpam-3440	593	13	a.	a.	PROPN
ejpam-3440	593	14	el	el	PROPN
ejpam-3440	593	15	-	-	PUNCT
ejpam-3440	593	16	sheikh	sheikh	PROPN
ejpam-3440	593	17	and	and	CCONJ
ejpam-3440	593	18	a.	a.	NOUN
ejpam-3440	593	19	m.	m.	NOUN
ejpam-3440	593	20	abd	abd	PROPN
ejpam-3440	593	21	el	el	PROPN
ejpam-3440	593	22	-	-	PROPN
ejpam-3440	593	23	latif	latif	PROPN
ejpam-3440	593	24	,	,	PUNCT
ejpam-3440	593	25	supra	supra	PROPN
ejpam-3440	593	26	generalized	generalize	VERB
ejpam-3440	593	27	closed	close	VERB
ejpam-3440	593	28	soft	soft	ADJ
ejpam-3440	593	29	sets	set	NOUN
ejpam-3440	593	30	with	with	ADP
ejpam-3440	593	31	respect	respect	NOUN
ejpam-3440	593	32	to	to	ADP
ejpam-3440	593	33	an	an	DET
ejpam-3440	593	34	soft	soft	ADJ
ejpam-3440	593	35	ideal	ideal	NOUN
ejpam-3440	593	36	in	in	ADP
ejpam-3440	593	37	supra	supra	PROPN
ejpam-3440	593	38	soft	soft	ADJ
ejpam-3440	593	39	topological	topological	ADJ
ejpam-3440	593	40	spaces	space	NOUN
ejpam-3440	593	41	,	,	PUNCT
ejpam-3440	593	42	appl	appl	PROPN
ejpam-3440	593	43	.	.	PROPN
ejpam-3440	593	44	math	math	PROPN
ejpam-3440	593	45	.	.	PUNCT
ejpam-3440	594	1	inf	inf	PROPN
ejpam-3440	594	2	.	.	PUNCT
ejpam-3440	595	1	sci	sci	PROPN
ejpam-3440	595	2	.	.	PROPN
ejpam-3440	595	3	,	,	PUNCT
ejpam-3440	595	4	8	8	NUM
ejpam-3440	595	5	(	(	PUNCT
ejpam-3440	595	6	4	4	NUM
ejpam-3440	595	7	)	)	PUNCT
ejpam-3440	595	8	(	(	PUNCT
ejpam-3440	595	9	2014	2014	NUM
ejpam-3440	595	10	)	)	PUNCT
ejpam-3440	595	11	,	,	PUNCT
ejpam-3440	595	12	1731	1731	NUM
ejpam-3440	595	13	-	-	SYM
ejpam-3440	595	14	1740	1740	NUM
ejpam-3440	595	15	.	.	PUNCT
ejpam-3440	596	1	[	[	X
ejpam-3440	596	2	21	21	NUM
ejpam-3440	596	3	]	]	X
ejpam-3440	596	4	j.	j.	PROPN
ejpam-3440	596	5	mahanta	mahanta	PROPN
ejpam-3440	596	6	and	and	CCONJ
ejpam-3440	596	7	p.k	p.k	PROPN
ejpam-3440	596	8	.	.	PUNCT
ejpam-3440	596	9	das	das	PROPN
ejpam-3440	596	10	,	,	PUNCT
ejpam-3440	596	11	results	result	NOUN
ejpam-3440	596	12	on	on	ADP
ejpam-3440	596	13	fuzzy	fuzzy	ADJ
ejpam-3440	596	14	soft	soft	ADJ
ejpam-3440	596	15	topological	topological	ADJ
ejpam-3440	596	16	spaces	space	NOUN
ejpam-3440	596	17	,	,	PUNCT
ejpam-3440	596	18	https://arxiv.org/abs/1203.0634	https://arxiv.org/abs/1203.0634	NOUN
ejpam-3440	596	19	.	.	PUNCT
ejpam-3440	597	1	[	[	X
ejpam-3440	597	2	22	22	NUM
ejpam-3440	597	3	]	]	PUNCT
ejpam-3440	597	4	p.	p.	PROPN
ejpam-3440	597	5	k.	k.	PROPN
ejpam-3440	598	1	maji	maji	PROPN
ejpam-3440	598	2	,	,	PUNCT
ejpam-3440	598	3	r.	r.	PROPN
ejpam-3440	598	4	biswas	biswas	PROPN
ejpam-3440	598	5	and	and	CCONJ
ejpam-3440	598	6	a.	a.	PROPN
ejpam-3440	598	7	r.	r.	PROPN
ejpam-3440	598	8	roy	roy	PROPN
ejpam-3440	598	9	,	,	PUNCT
ejpam-3440	598	10	fuzzy	fuzzy	ADJ
ejpam-3440	598	11	soft	soft	ADJ
ejpam-3440	598	12	sets	set	NOUN
ejpam-3440	598	13	,	,	PUNCT
ejpam-3440	598	14	journal	journal	NOUN
ejpam-3440	598	15	of	of	ADP
ejpam-3440	598	16	fuzzy	fuzzy	ADJ
ejpam-3440	598	17	mathematics	mathematic	NOUN
ejpam-3440	598	18	,	,	PUNCT
ejpam-3440	598	19	9	9	NUM
ejpam-3440	598	20	(	(	PUNCT
ejpam-3440	598	21	3	3	NUM
ejpam-3440	598	22	)	)	PUNCT
ejpam-3440	598	23	(	(	PUNCT
ejpam-3440	598	24	2001	2001	NUM
ejpam-3440	598	25	)	)	PUNCT
ejpam-3440	598	26	,	,	PUNCT
ejpam-3440	598	27	589	589	NUM
ejpam-3440	598	28	-	-	SYM
ejpam-3440	598	29	602	602	NUM
ejpam-3440	598	30	.	.	PUNCT
ejpam-3440	599	1	references	reference	NOUN
ejpam-3440	599	2	1017	1017	NUM
ejpam-3440	599	3	[	[	X
ejpam-3440	599	4	23	23	NUM
ejpam-3440	599	5	]	]	PUNCT
ejpam-3440	599	6	p.	p.	PROPN
ejpam-3440	599	7	k.	k.	PROPN
ejpam-3440	600	1	maji	maji	PROPN
ejpam-3440	600	2	,	,	PUNCT
ejpam-3440	600	3	r.	r.	PROPN
ejpam-3440	600	4	biswas	biswas	PROPN
ejpam-3440	600	5	and	and	CCONJ
ejpam-3440	600	6	a.	a.	PROPN
ejpam-3440	600	7	r.	r.	PROPN
ejpam-3440	600	8	roy	roy	PROPN
ejpam-3440	600	9	,	,	PUNCT
ejpam-3440	600	10	soft	soft	ADJ
ejpam-3440	600	11	set	set	NOUN
ejpam-3440	600	12	theory	theory	NOUN
ejpam-3440	600	13	,	,	PUNCT
ejpam-3440	600	14	comput	comput	NOUN
ejpam-3440	600	15	.	.	PUNCT
ejpam-3440	601	1	math	math	NOUN
ejpam-3440	601	2	.	.	PUNCT
ejpam-3440	602	1	appl	appl	PROPN
ejpam-3440	602	2	.	.	PROPN
ejpam-3440	603	1	,	,	PUNCT
ejpam-3440	603	2	45	45	NUM
ejpam-3440	603	3	(	(	PUNCT
ejpam-3440	603	4	2003	2003	NUM
ejpam-3440	603	5	)	)	PUNCT
ejpam-3440	603	6	,	,	PUNCT
ejpam-3440	603	7	555	555	NUM
ejpam-3440	603	8	-	-	SYM
ejpam-3440	603	9	562	562	NUM
ejpam-3440	603	10	.	.	PUNCT
ejpam-3440	604	1	[	[	X
ejpam-3440	604	2	24	24	NUM
ejpam-3440	604	3	]	]	PUNCT
ejpam-3440	604	4	manash	manash	PROPN
ejpam-3440	604	5	jyoti	jyoti	PROPN
ejpam-3440	604	6	borah	borah	PROPN
ejpam-3440	604	7	,	,	PUNCT
ejpam-3440	604	8	bipan	bipan	NOUN
ejpam-3440	604	9	hazarika	hazarika	NOUN
ejpam-3440	604	10	,	,	PUNCT
ejpam-3440	604	11	soft	soft	ADJ
ejpam-3440	604	12	nearly	nearly	ADV
ejpam-3440	604	13	c	c	NOUN
ejpam-3440	604	14	-	-	NOUN
ejpam-3440	604	15	compactness	compactness	NOUN
ejpam-3440	604	16	in	in	ADP
ejpam-3440	604	17	fuzzy	fuzzy	ADJ
ejpam-3440	604	18	soft	soft	ADJ
ejpam-3440	604	19	topological	topological	ADJ
ejpam-3440	604	20	spaces	space	NOUN
ejpam-3440	604	21	,	,	PUNCT
ejpam-3440	604	22	ann	ann	PROPN
ejpam-3440	604	23	.	.	PROPN
ejpam-3440	604	24	fuzzy	fuzzy	ADJ
ejpam-3440	604	25	math	math	NOUN
ejpam-3440	604	26	.	.	PUNCT
ejpam-3440	605	1	inform	inform	NOUN
ejpam-3440	605	2	.	.	PUNCT
ejpam-3440	606	1	,	,	PUNCT
ejpam-3440	606	2	12	12	NUM
ejpam-3440	606	3	(	(	PUNCT
ejpam-3440	606	4	5	5	NUM
ejpam-3440	606	5	)	)	PUNCT
ejpam-3440	606	6	(	(	PUNCT
ejpam-3440	606	7	2016	2016	NUM
ejpam-3440	606	8	)	)	PUNCT
ejpam-3440	606	9	,	,	PUNCT
ejpam-3440	606	10	609	609	NUM
ejpam-3440	606	11	-	-	SYM
ejpam-3440	606	12	615	615	NUM
ejpam-3440	606	13	.	.	PUNCT
ejpam-3440	607	1	[	[	X
ejpam-3440	607	2	25	25	NUM
ejpam-3440	607	3	]	]	PUNCT
ejpam-3440	607	4	a.	a.	NOUN
ejpam-3440	607	5	s.	s.	PROPN
ejpam-3440	607	6	mashhour	mashhour	PROPN
ejpam-3440	607	7	,	,	PUNCT
ejpam-3440	607	8	a.	a.	PROPN
ejpam-3440	607	9	a.	a.	PROPN
ejpam-3440	607	10	allam	allam	PROPN
ejpam-3440	607	11	,	,	PUNCT
ejpam-3440	607	12	f.	f.	PROPN
ejpam-3440	607	13	s.	s.	PROPN
ejpam-3440	607	14	mahmoud	mahmoud	PROPN
ejpam-3440	607	15	and	and	CCONJ
ejpam-3440	607	16	f.	f.	PROPN
ejpam-3440	607	17	h.	h.	PROPN
ejpam-3440	607	18	khedr	khedr	PROPN
ejpam-3440	607	19	,	,	PUNCT
ejpam-3440	607	20	on	on	ADP
ejpam-3440	607	21	supra	supra	PROPN
ejpam-3440	607	22	topological	topological	ADJ
ejpam-3440	607	23	spaces	space	NOUN
ejpam-3440	607	24	,	,	PUNCT
ejpam-3440	607	25	indian	indian	PROPN
ejpam-3440	607	26	j.	j.	PROPN
ejpam-3440	607	27	pure	pure	PROPN
ejpam-3440	607	28	and	and	CCONJ
ejpam-3440	607	29	appl	appl	PROPN
ejpam-3440	607	30	.	.	PROPN
ejpam-3440	607	31	math	math	PROPN
ejpam-3440	607	32	.	.	PUNCT
ejpam-3440	608	1	,	,	PUNCT
ejpam-3440	608	2	14	14	NUM
ejpam-3440	608	3	(	(	PUNCT
ejpam-3440	608	4	4	4	NUM
ejpam-3440	608	5	)	)	PUNCT
ejpam-3440	608	6	(	(	PUNCT
ejpam-3440	608	7	1983	1983	NUM
ejpam-3440	608	8	)	)	PUNCT
ejpam-3440	608	9	,	,	PUNCT
ejpam-3440	608	10	502	502	NUM
ejpam-3440	608	11	-	-	SYM
ejpam-3440	608	12	510	510	NUM
ejpam-3440	608	13	.	.	PUNCT
ejpam-3440	609	1	[	[	X
ejpam-3440	609	2	26	26	NUM
ejpam-3440	609	3	]	]	X
ejpam-3440	609	4	d.	d.	PROPN
ejpam-3440	609	5	molodtsov	molodtsov	PROPN
ejpam-3440	609	6	,	,	PUNCT
ejpam-3440	609	7	soft	soft	ADJ
ejpam-3440	609	8	set	set	NOUN
ejpam-3440	609	9	theory	theory	NOUN
ejpam-3440	609	10	-	-	PUNCT
ejpam-3440	609	11	first	first	ADJ
ejpam-3440	609	12	results	result	NOUN
ejpam-3440	609	13	,	,	PUNCT
ejpam-3440	609	14	comput	comput	NOUN
ejpam-3440	609	15	.	.	PUNCT
ejpam-3440	610	1	math	math	NOUN
ejpam-3440	610	2	.	.	PUNCT
ejpam-3440	611	1	appl	appl	PROPN
ejpam-3440	611	2	.	.	PROPN
ejpam-3440	611	3	,	,	PUNCT
ejpam-3440	611	4	37	37	NUM
ejpam-3440	611	5	(	(	PUNCT
ejpam-3440	611	6	1999	1999	NUM
ejpam-3440	611	7	)	)	PUNCT
ejpam-3440	611	8	,	,	PUNCT
ejpam-3440	611	9	19	19	NUM
ejpam-3440	611	10	-	-	SYM
ejpam-3440	611	11	31	31	NUM
ejpam-3440	611	12	.	.	PUNCT
ejpam-3440	612	1	[	[	X
ejpam-3440	612	2	27	27	NUM
ejpam-3440	612	3	]	]	X
ejpam-3440	612	4	i.	i.	PROPN
ejpam-3440	612	5	osmanoglu	osmanoglu	PROPN
ejpam-3440	612	6	and	and	CCONJ
ejpam-3440	612	7	d.	d.	PROPN
ejpam-3440	612	8	tokat	tokat	PROPN
ejpam-3440	612	9	,	,	PUNCT
ejpam-3440	612	10	compact	compact	ADJ
ejpam-3440	612	11	fuzzy	fuzzy	ADJ
ejpam-3440	612	12	soft	soft	ADJ
ejpam-3440	612	13	spaces	space	NOUN
ejpam-3440	612	14	,	,	PUNCT
ejpam-3440	612	15	ann	ann	PROPN
ejpam-3440	612	16	.	.	PROPN
ejpam-3440	612	17	fuzzy	fuzzy	ADJ
ejpam-3440	612	18	math	math	NOUN
ejpam-3440	612	19	.	.	PUNCT
ejpam-3440	613	1	inform	inform	NOUN
ejpam-3440	613	2	.	.	PUNCT
ejpam-3440	614	1	,	,	PUNCT
ejpam-3440	614	2	7	7	NUM
ejpam-3440	614	3	(	(	PUNCT
ejpam-3440	614	4	1)(2014	1)(2014	NUM
ejpam-3440	614	5	)	)	PUNCT
ejpam-3440	614	6	,	,	PUNCT
ejpam-3440	614	7	45	45	NUM
ejpam-3440	614	8	-	-	SYM
ejpam-3440	614	9	51	51	NUM
ejpam-3440	614	10	.	.	PUNCT
ejpam-3440	615	1	[	[	X
ejpam-3440	615	2	28	28	NUM
ejpam-3440	615	3	]	]	X
ejpam-3440	615	4	b.	b.	PROPN
ejpam-3440	615	5	pazar	pazar	PROPN
ejpam-3440	615	6	varol	varol	PROPN
ejpam-3440	615	7	and	and	CCONJ
ejpam-3440	615	8	h.	h.	PROPN
ejpam-3440	615	9	aygun	aygun	PROPN
ejpam-3440	615	10	,	,	PUNCT
ejpam-3440	615	11	fuzzy	fuzzy	ADJ
ejpam-3440	615	12	soft	soft	ADJ
ejpam-3440	615	13	topology	topology	NOUN
ejpam-3440	615	14	,	,	PUNCT
ejpam-3440	615	15	hacettepe	hacettepe	ADJ
ejpam-3440	615	16	journal	journal	NOUN
ejpam-3440	615	17	of	of	ADP
ejpam-3440	615	18	mathematics	mathematic	NOUN
ejpam-3440	615	19	and	and	CCONJ
ejpam-3440	615	20	statistics	statistic	NOUN
ejpam-3440	615	21	,	,	PUNCT
ejpam-3440	615	22	41	41	NUM
ejpam-3440	615	23	(	(	PUNCT
ejpam-3440	615	24	3	3	NUM
ejpam-3440	615	25	)	)	PUNCT
ejpam-3440	615	26	(	(	PUNCT
ejpam-3440	615	27	2012	2012	NUM
ejpam-3440	615	28	)	)	PUNCT
ejpam-3440	615	29	407	407	NUM
ejpam-3440	615	30	-	-	SYM
ejpam-3440	615	31	419	419	NUM
ejpam-3440	615	32	.	.	PUNCT
ejpam-3440	616	1	[	[	X
ejpam-3440	616	2	29	29	NUM
ejpam-3440	616	3	]	]	PUNCT
ejpam-3440	616	4	s.	s.	PROPN
ejpam-3440	616	5	roy	roy	PROPN
ejpam-3440	616	6	and	and	CCONJ
ejpam-3440	616	7	t.	t.	PROPN
ejpam-3440	616	8	k.	k.	PROPN
ejpam-3440	616	9	samanta	samanta	PROPN
ejpam-3440	616	10	,	,	PUNCT
ejpam-3440	616	11	a	a	DET
ejpam-3440	616	12	note	note	NOUN
ejpam-3440	616	13	on	on	ADP
ejpam-3440	616	14	fuzzy	fuzzy	ADJ
ejpam-3440	616	15	soft	soft	ADJ
ejpam-3440	616	16	topological	topological	ADJ
ejpam-3440	616	17	spaces	space	NOUN
ejpam-3440	616	18	,	,	PUNCT
ejpam-3440	616	19	ann	ann	PROPN
ejpam-3440	616	20	.	.	PROPN
ejpam-3440	616	21	fuzzy	fuzzy	ADJ
ejpam-3440	616	22	math	math	NOUN
ejpam-3440	616	23	.	.	PUNCT
ejpam-3440	617	1	inform	inform	NOUN
ejpam-3440	617	2	.	.	PUNCT
ejpam-3440	617	3	,	,	PUNCT
ejpam-3440	617	4	3	3	NUM
ejpam-3440	617	5	(	(	PUNCT
ejpam-3440	617	6	2	2	NUM
ejpam-3440	617	7	)	)	PUNCT
ejpam-3440	617	8	(	(	PUNCT
ejpam-3440	617	9	2012	2012	NUM
ejpam-3440	617	10	)	)	PUNCT
ejpam-3440	617	11	,	,	PUNCT
ejpam-3440	617	12	305	305	NUM
ejpam-3440	617	13	-	-	SYM
ejpam-3440	617	14	311	311	NUM
ejpam-3440	617	15	.	.	PUNCT
ejpam-3440	618	1	[	[	X
ejpam-3440	618	2	30	30	NUM
ejpam-3440	618	3	]	]	X
ejpam-3440	618	4	seema	seema	PROPN
ejpam-3440	618	5	mishra	mishra	PROPN
ejpam-3440	618	6	and	and	CCONJ
ejpam-3440	618	7	rekha	rekha	PROPN
ejpam-3440	618	8	srivastava	srivastava	PROPN
ejpam-3440	618	9	,	,	PUNCT
ejpam-3440	618	10	fuzzy	fuzzy	ADJ
ejpam-3440	618	11	soft	soft	ADJ
ejpam-3440	618	12	compact	compact	ADJ
ejpam-3440	618	13	topological	topological	ADJ
ejpam-3440	618	14	spaces	space	NOUN
ejpam-3440	618	15	,	,	PUNCT
ejpam-3440	618	16	journal	journal	NOUN
ejpam-3440	618	17	of	of	ADP
ejpam-3440	618	18	mathematics	mathematics	PROPN
ejpam-3440	618	19	2016	2016	NUM
ejpam-3440	618	20	,	,	PUNCT
ejpam-3440	618	21	art	art	NOUN
ejpam-3440	618	22	.	.	PUNCT
ejpam-3440	619	1	i	i	PRON
ejpam-3440	619	2	d	d	PROPN
ejpam-3440	619	3	2480842	2480842	NUM
ejpam-3440	619	4	,	,	PUNCT
ejpam-3440	619	5	7	7	NUM
ejpam-3440	619	6	pp	pp	NOUN
ejpam-3440	619	7	.	.	PUNCT
ejpam-3440	620	1	[	[	X
ejpam-3440	620	2	31	31	NUM
ejpam-3440	620	3	]	]	PUNCT
ejpam-3440	620	4	m.	m.	NOUN
ejpam-3440	620	5	shabir	shabir	PROPN
ejpam-3440	620	6	and	and	CCONJ
ejpam-3440	620	7	m.	m.	PROPN
ejpam-3440	620	8	naz	naz	PROPN
ejpam-3440	620	9	,	,	PUNCT
ejpam-3440	620	10	on	on	ADP
ejpam-3440	620	11	soft	soft	ADJ
ejpam-3440	620	12	topological	topological	ADJ
ejpam-3440	620	13	spaces	space	NOUN
ejpam-3440	620	14	,	,	PUNCT
ejpam-3440	620	15	comput	comput	NOUN
ejpam-3440	620	16	.	.	PUNCT
ejpam-3440	621	1	math	math	NOUN
ejpam-3440	621	2	.	.	PUNCT
ejpam-3440	622	1	appl	appl	PROPN
ejpam-3440	622	2	.	.	PROPN
ejpam-3440	622	3	,	,	PUNCT
ejpam-3440	622	4	61	61	NUM
ejpam-3440	622	5	(	(	PUNCT
ejpam-3440	622	6	2011	2011	NUM
ejpam-3440	622	7	)	)	PUNCT
ejpam-3440	622	8	,	,	PUNCT
ejpam-3440	622	9	1786	1786	NUM
ejpam-3440	622	10	-	-	SYM
ejpam-3440	622	11	1799	1799	NUM
ejpam-3440	622	12	.	.	PUNCT
ejpam-3440	623	1	[	[	X
ejpam-3440	623	2	32	32	NUM
ejpam-3440	623	3	]	]	PUNCT
ejpam-3440	623	4	l.	l.	PROPN
ejpam-3440	623	5	a.	a.	PROPN
ejpam-3440	623	6	zadeh	zadeh	PROPN
ejpam-3440	623	7	,	,	PUNCT
ejpam-3440	623	8	fuzzy	fuzzy	ADJ
ejpam-3440	623	9	sets	set	NOUN
ejpam-3440	623	10	,	,	PUNCT
ejpam-3440	623	11	information	information	NOUN
ejpam-3440	623	12	and	and	CCONJ
ejpam-3440	623	13	control	control	NOUN
ejpam-3440	623	14	,	,	PUNCT
ejpam-3440	623	15	8	8	NUM
ejpam-3440	623	16	(	(	PUNCT
ejpam-3440	623	17	1965	1965	NUM
ejpam-3440	623	18	)	)	PUNCT
ejpam-3440	623	19	,	,	PUNCT
ejpam-3440	623	20	338	338	NUM
ejpam-3440	623	21	-	-	SYM
ejpam-3440	623	22	353	353	NUM
ejpam-3440	623	23	.	.	PUNCT