id	sid	tid	token	lemma	pos
ejpam-3980	1	1	european	european	PROPN
ejpam-3980	1	2	journal	journal	PROPN
ejpam-3980	1	3	of	of	ADP
ejpam-3980	1	4	pure	pure	ADJ
ejpam-3980	1	5	and	and	CCONJ
ejpam-3980	1	6	applied	apply	VERB
ejpam-3980	1	7	mathematics	mathematic	NOUN
ejpam-3980	1	8	vol	vol	NOUN
ejpam-3980	1	9	.	.	PUNCT
ejpam-3980	2	1	14	14	NUM
ejpam-3980	2	2	,	,	PUNCT
ejpam-3980	2	3	no	no	INTJ
ejpam-3980	2	4	.	.	NOUN
ejpam-3980	2	5	3	3	NUM
ejpam-3980	2	6	,	,	PUNCT
ejpam-3980	2	7	2021	2021	NUM
ejpam-3980	2	8	,	,	PUNCT
ejpam-3980	2	9	760	760	NUM
ejpam-3980	2	10	-	-	SYM
ejpam-3980	2	11	772	772	NUM
ejpam-3980	2	12	issn	issn	PROPN
ejpam-3980	2	13	1307	1307	NUM
ejpam-3980	2	14	-	-	SYM
ejpam-3980	2	15	5543	5543	NUM
ejpam-3980	2	16	–	–	PUNCT
ejpam-3980	2	17	ejpam.com	ejpam.com	X
ejpam-3980	2	18	published	publish	VERB
ejpam-3980	2	19	by	by	ADP
ejpam-3980	2	20	new	new	PROPN
ejpam-3980	2	21	york	york	PROPN
ejpam-3980	2	22	business	business	PROPN
ejpam-3980	3	1	global	global	PROPN
ejpam-3980	3	2	a	a	DET
ejpam-3980	3	3	view	view	NOUN
ejpam-3980	3	4	on	on	ADP
ejpam-3980	3	5	connectedness	connectedness	NOUN
ejpam-3980	3	6	and	and	CCONJ
ejpam-3980	3	7	compactness	compactness	NOUN
ejpam-3980	3	8	in	in	ADP
ejpam-3980	3	9	fuzzy	fuzzy	ADJ
ejpam-3980	3	10	soft	soft	ADJ
ejpam-3980	3	11	bitopological	bitopological	ADJ
ejpam-3980	3	12	spaces	space	NOUN
ejpam-3980	3	13	abdelhamied	abdelhamie	VERB
ejpam-3980	3	14	farrag	farrag	PROPN
ejpam-3980	3	15	sayed	sayed	PROPN
ejpam-3980	3	16	mathematics	mathematics	PROPN
ejpam-3980	3	17	department	department	PROPN
ejpam-3980	3	18	,	,	PUNCT
ejpam-3980	3	19	al	al	PROPN
ejpam-3980	3	20	-	-	PUNCT
ejpam-3980	3	21	lith	lith	PROPN
ejpam-3980	3	22	university	university	NOUN
ejpam-3980	3	23	college	college	NOUN
ejpam-3980	3	24	,	,	PUNCT
ejpam-3980	3	25	umm	umm	INTJ
ejpam-3980	3	26	al	al	PROPN
ejpam-3980	3	27	-	-	PUNCT
ejpam-3980	3	28	qura	qura	PROPN
ejpam-3980	3	29	university	university	PROPN
ejpam-3980	3	30	p.o	p.o	PROPN
ejpam-3980	3	31	.	.	PROPN
ejpam-3980	3	32	box	box	PROPN
ejpam-3980	3	33	112	112	NUM
ejpam-3980	3	34	,	,	PUNCT
ejpam-3980	3	35	al	al	PROPN
ejpam-3980	3	36	-	-	PUNCT
ejpam-3980	3	37	lith	lith	PROPN
ejpam-3980	3	38	21961	21961	NUM
ejpam-3980	3	39	,	,	PUNCT
ejpam-3980	3	40	makkah	makkah	PROPN
ejpam-3980	3	41	al	al	PROPN
ejpam-3980	3	42	mukarramah	mukarramah	PROPN
ejpam-3980	3	43	,	,	PUNCT
ejpam-3980	3	44	kingdom	kingdom	NOUN
ejpam-3980	3	45	of	of	ADP
ejpam-3980	3	46	saudi	saudi	PROPN
ejpam-3980	3	47	arabia	arabia	PROPN
ejpam-3980	3	48	abstract	abstract	NOUN
ejpam-3980	3	49	.	.	PUNCT
ejpam-3980	4	1	in	in	ADP
ejpam-3980	4	2	the	the	DET
ejpam-3980	4	3	present	present	ADJ
ejpam-3980	4	4	paper	paper	NOUN
ejpam-3980	4	5	,	,	PUNCT
ejpam-3980	4	6	we	we	PRON
ejpam-3980	4	7	introduce	introduce	VERB
ejpam-3980	4	8	the	the	DET
ejpam-3980	4	9	notions	notion	NOUN
ejpam-3980	4	10	of	of	ADP
ejpam-3980	4	11	(	(	PUNCT
ejpam-3980	4	12	1	1	NUM
ejpam-3980	4	13	,	,	PUNCT
ejpam-3980	4	14	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	4	15	soft	soft	ADJ
ejpam-3980	4	16	b	b	NOUN
ejpam-3980	4	17	-	-	PUNCT
ejpam-3980	4	18	separated	separate	VERB
ejpam-3980	4	19	sets	set	NOUN
ejpam-3980	4	20	,	,	PUNCT
ejpam-3980	4	21	(	(	PUNCT
ejpam-3980	4	22	1	1	NUM
ejpam-3980	4	23	,	,	PUNCT
ejpam-3980	4	24	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	4	25	soft	soft	ADJ
ejpam-3980	4	26	b	b	NOUN
ejpam-3980	4	27	-	-	PUNCT
ejpam-3980	4	28	connectedness	connectedness	NOUN
ejpam-3980	4	29	and	and	CCONJ
ejpam-3980	4	30	(	(	PUNCT
ejpam-3980	4	31	1	1	NUM
ejpam-3980	4	32	,	,	PUNCT
ejpam-3980	4	33	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	4	34	soft	soft	ADJ
ejpam-3980	4	35	b	b	NOUN
ejpam-3980	4	36	-	-	PUNCT
ejpam-3980	4	37	compactness	compactness	NOUN
ejpam-3980	4	38	in	in	ADP
ejpam-3980	4	39	fuzzy	fuzzy	ADJ
ejpam-3980	4	40	soft	soft	ADJ
ejpam-3980	4	41	bitopological	bitopological	ADJ
ejpam-3980	4	42	spaces	space	NOUN
ejpam-3980	4	43	.	.	PUNCT
ejpam-3980	5	1	then	then	ADV
ejpam-3980	5	2	,	,	PUNCT
ejpam-3980	5	3	some	some	DET
ejpam-3980	5	4	basic	basic	ADJ
ejpam-3980	5	5	topological	topological	ADJ
ejpam-3980	5	6	properties	property	NOUN
ejpam-3980	5	7	of	of	ADP
ejpam-3980	5	8	these	these	DET
ejpam-3980	5	9	notions	notion	NOUN
ejpam-3980	5	10	are	be	AUX
ejpam-3980	5	11	investigated	investigate	VERB
ejpam-3980	5	12	.	.	PUNCT
ejpam-3980	6	1	also	also	ADV
ejpam-3980	6	2	,	,	PUNCT
ejpam-3980	6	3	some	some	DET
ejpam-3980	6	4	illustrative	illustrative	ADJ
ejpam-3980	6	5	examples	example	NOUN
ejpam-3980	6	6	are	be	AUX
ejpam-3980	6	7	given	give	VERB
ejpam-3980	6	8	to	to	PART
ejpam-3980	6	9	show	show	VERB
ejpam-3980	6	10	the	the	DET
ejpam-3980	6	11	importance	importance	NOUN
ejpam-3980	6	12	of	of	ADP
ejpam-3980	6	13	the	the	DET
ejpam-3980	6	14	obtained	obtain	VERB
ejpam-3980	6	15	theorems	theorem	NOUN
ejpam-3980	6	16	.	.	PROPN
ejpam-3980	7	1	2020	2020	NUM
ejpam-3980	7	2	mathematics	mathematic	NOUN
ejpam-3980	7	3	subject	subject	NOUN
ejpam-3980	7	4	classifications	classification	NOUN
ejpam-3980	7	5	:	:	PUNCT
ejpam-3980	7	6	54a05	54a05	NUM
ejpam-3980	7	7	,	,	PUNCT
ejpam-3980	7	8	54a40	54a40	NUM
ejpam-3980	7	9	,	,	PUNCT
ejpam-3980	7	10	54f99	54f99	NUM
ejpam-3980	7	11	.	.	PUNCT
ejpam-3980	8	1	key	key	ADJ
ejpam-3980	8	2	words	word	NOUN
ejpam-3980	8	3	and	and	CCONJ
ejpam-3980	8	4	phrases	phrase	NOUN
ejpam-3980	8	5	:	:	PUNCT
ejpam-3980	8	6	(	(	PUNCT
ejpam-3980	8	7	1	1	NUM
ejpam-3980	8	8	,	,	PUNCT
ejpam-3980	8	9	2)∗-fsb	2)∗-fsb	NUM
ejpam-3980	8	10	-	-	PUNCT
ejpam-3980	8	11	separated	separate	VERB
ejpam-3980	8	12	,	,	PUNCT
ejpam-3980	8	13	(	(	PUNCT
ejpam-3980	8	14	1	1	NUM
ejpam-3980	8	15	,	,	PUNCT
ejpam-3980	8	16	2)∗-fsb	2)∗-fsb	NOUN
ejpam-3980	8	17	-	-	PUNCT
ejpam-3980	8	18	connected	connect	VERB
ejpam-3980	8	19	,	,	PUNCT
ejpam-3980	8	20	(	(	PUNCT
ejpam-3980	8	21	1	1	NUM
ejpam-3980	8	22	,	,	PUNCT
ejpam-3980	8	23	2)∗-fsb	2)∗-fsb	NUM
ejpam-3980	8	24	-	-	ADJ
ejpam-3980	8	25	compact	compact	ADJ
ejpam-3980	8	26	1	1	NUM
ejpam-3980	8	27	.	.	PUNCT
ejpam-3980	8	28	introduction	introduction	NOUN
ejpam-3980	8	29	in	in	ADP
ejpam-3980	8	30	1965	1965	NUM
ejpam-3980	8	31	,	,	PUNCT
ejpam-3980	8	32	zadeh	zadeh	PROPN
ejpam-3980	9	1	[	[	X
ejpam-3980	9	2	36	36	NUM
ejpam-3980	9	3	]	]	PUNCT
ejpam-3980	9	4	,	,	PUNCT
ejpam-3980	9	5	introduced	introduce	VERB
ejpam-3980	9	6	the	the	DET
ejpam-3980	9	7	concept	concept	NOUN
ejpam-3980	9	8	of	of	ADP
ejpam-3980	9	9	fuzzy	fuzzy	ADJ
ejpam-3980	9	10	set	set	NOUN
ejpam-3980	9	11	theory	theory	NOUN
ejpam-3980	9	12	and	and	CCONJ
ejpam-3980	9	13	its	its	PRON
ejpam-3980	9	14	applications	application	NOUN
ejpam-3980	9	15	can	can	AUX
ejpam-3980	9	16	be	be	AUX
ejpam-3980	9	17	found	find	VERB
ejpam-3980	9	18	in	in	ADP
ejpam-3980	9	19	many	many	ADJ
ejpam-3980	9	20	branches	branch	NOUN
ejpam-3980	9	21	of	of	ADP
ejpam-3980	9	22	mathematical	mathematical	ADJ
ejpam-3980	9	23	and	and	CCONJ
ejpam-3980	9	24	engineering	engineering	NOUN
ejpam-3980	9	25	sciences	science	NOUN
ejpam-3980	9	26	including	include	VERB
ejpam-3980	9	27	management	management	NOUN
ejpam-3980	9	28	science	science	NOUN
ejpam-3980	9	29	,	,	PUNCT
ejpam-3980	9	30	control	control	NOUN
ejpam-3980	9	31	engineering	engineering	NOUN
ejpam-3980	9	32	,	,	PUNCT
ejpam-3980	9	33	computer	computer	NOUN
ejpam-3980	9	34	science	science	NOUN
ejpam-3980	9	35	and	and	CCONJ
ejpam-3980	9	36	artificial	artificial	ADJ
ejpam-3980	9	37	intelligence	intelligence	NOUN
ejpam-3980	9	38	(	(	PUNCT
ejpam-3980	9	39	see	see	VERB
ejpam-3980	9	40	,	,	PUNCT
ejpam-3980	9	41	[	[	X
ejpam-3980	9	42	5	5	NUM
ejpam-3980	9	43	,	,	PUNCT
ejpam-3980	9	44	7	7	NUM
ejpam-3980	9	45	]	]	NUM
ejpam-3980	9	46	)	)	PUNCT
ejpam-3980	9	47	.	.	PUNCT
ejpam-3980	10	1	in	in	ADP
ejpam-3980	10	2	1999	1999	NUM
ejpam-3980	10	3	,	,	PUNCT
ejpam-3980	10	4	russian	russian	ADJ
ejpam-3980	10	5	researcher	researcher	NOUN
ejpam-3980	10	6	molodtsov	molodtsov	PROPN
ejpam-3980	11	1	[	[	X
ejpam-3980	11	2	16	16	NUM
ejpam-3980	11	3	]	]	PUNCT
ejpam-3980	11	4	,	,	PUNCT
ejpam-3980	11	5	initiated	initiate	VERB
ejpam-3980	11	6	the	the	DET
ejpam-3980	11	7	concept	concept	NOUN
ejpam-3980	11	8	of	of	ADP
ejpam-3980	11	9	soft	soft	ADJ
ejpam-3980	11	10	sets	set	NOUN
ejpam-3980	11	11	as	as	ADP
ejpam-3980	11	12	a	a	DET
ejpam-3980	11	13	new	new	ADJ
ejpam-3980	11	14	mathematical	mathematical	ADJ
ejpam-3980	11	15	tool	tool	NOUN
ejpam-3980	11	16	to	to	PART
ejpam-3980	11	17	deal	deal	VERB
ejpam-3980	11	18	with	with	ADP
ejpam-3980	11	19	uncertainties	uncertainty	NOUN
ejpam-3980	11	20	while	while	SCONJ
ejpam-3980	11	21	modeling	model	VERB
ejpam-3980	11	22	problems	problem	NOUN
ejpam-3980	11	23	in	in	ADP
ejpam-3980	11	24	engineering	engineering	NOUN
ejpam-3980	11	25	physics	physics	NOUN
ejpam-3980	11	26	,	,	PUNCT
ejpam-3980	11	27	computer	computer	NOUN
ejpam-3980	11	28	science	science	NOUN
ejpam-3980	11	29	,	,	PUNCT
ejpam-3980	11	30	economics	economic	NOUN
ejpam-3980	11	31	,	,	PUNCT
ejpam-3980	11	32	social	social	ADJ
ejpam-3980	11	33	sciences	science	NOUN
ejpam-3980	11	34	and	and	CCONJ
ejpam-3980	11	35	medical	medical	ADJ
ejpam-3980	11	36	sciences	science	NOUN
ejpam-3980	11	37	(	(	PUNCT
ejpam-3980	11	38	see	see	VERB
ejpam-3980	11	39	,	,	PUNCT
ejpam-3980	11	40	[	[	X
ejpam-3980	11	41	20	20	NUM
ejpam-3980	11	42	,	,	PUNCT
ejpam-3980	11	43	28	28	NUM
ejpam-3980	11	44	]	]	PUNCT
ejpam-3980	11	45	)	)	PUNCT
ejpam-3980	11	46	.	.	PUNCT
ejpam-3980	12	1	in	in	ADP
ejpam-3980	12	2	2003	2003	NUM
ejpam-3980	12	3	,	,	PUNCT
ejpam-3980	12	4	maji	maji	PROPN
ejpam-3980	12	5	,	,	PUNCT
ejpam-3980	12	6	biswas	biswas	PROPN
ejpam-3980	12	7	and	and	CCONJ
ejpam-3980	12	8	roy	roy	PROPN
ejpam-3980	12	9	[	[	X
ejpam-3980	12	10	22	22	NUM
ejpam-3980	12	11	]	]	PUNCT
ejpam-3980	12	12	,	,	PUNCT
ejpam-3980	12	13	studied	study	VERB
ejpam-3980	12	14	the	the	DET
ejpam-3980	12	15	theory	theory	NOUN
ejpam-3980	12	16	of	of	ADP
ejpam-3980	12	17	soft	soft	ADJ
ejpam-3980	12	18	sets	set	NOUN
ejpam-3980	12	19	initiated	initiate	VERB
ejpam-3980	12	20	by	by	ADP
ejpam-3980	12	21	molodtsov	molodtsov	NOUN
ejpam-3980	12	22	.	.	PUNCT
ejpam-3980	13	1	they	they	PRON
ejpam-3980	13	2	defined	define	VERB
ejpam-3980	13	3	equality	equality	NOUN
ejpam-3980	13	4	of	of	ADP
ejpam-3980	13	5	two	two	NUM
ejpam-3980	13	6	soft	soft	ADJ
ejpam-3980	13	7	sets	set	NOUN
ejpam-3980	13	8	,	,	PUNCT
ejpam-3980	13	9	subset	subset	NOUN
ejpam-3980	13	10	and	and	CCONJ
ejpam-3980	13	11	super	super	ADJ
ejpam-3980	13	12	set	set	NOUN
ejpam-3980	13	13	of	of	ADP
ejpam-3980	13	14	a	a	DET
ejpam-3980	13	15	soft	soft	ADJ
ejpam-3980	13	16	set	set	NOUN
ejpam-3980	13	17	,	,	PUNCT
ejpam-3980	13	18	complement	complement	NOUN
ejpam-3980	13	19	of	of	ADP
ejpam-3980	13	20	a	a	DET
ejpam-3980	13	21	soft	soft	ADJ
ejpam-3980	13	22	set	set	NOUN
ejpam-3980	13	23	,	,	PUNCT
ejpam-3980	13	24	null	null	ADJ
ejpam-3980	13	25	soft	soft	ADJ
ejpam-3980	13	26	set	set	NOUN
ejpam-3980	13	27	and	and	CCONJ
ejpam-3980	13	28	absolute	absolute	ADJ
ejpam-3980	13	29	soft	soft	ADJ
ejpam-3980	13	30	set	set	NOUN
ejpam-3980	13	31	with	with	ADP
ejpam-3980	13	32	examples	example	NOUN
ejpam-3980	13	33	.	.	PUNCT
ejpam-3980	14	1	soft	soft	ADJ
ejpam-3980	14	2	binary	binary	ADJ
ejpam-3980	14	3	operations	operation	NOUN
ejpam-3980	14	4	like	like	ADP
ejpam-3980	14	5	and	and	CCONJ
ejpam-3980	14	6	,	,	PUNCT
ejpam-3980	14	7	or	or	CCONJ
ejpam-3980	14	8	and	and	CCONJ
ejpam-3980	14	9	also	also	ADV
ejpam-3980	14	10	the	the	DET
ejpam-3980	14	11	operations	operation	NOUN
ejpam-3980	14	12	of	of	ADP
ejpam-3980	14	13	union	union	NOUN
ejpam-3980	14	14	and	and	CCONJ
ejpam-3980	14	15	intersection	intersection	NOUN
ejpam-3980	14	16	were	be	AUX
ejpam-3980	14	17	also	also	ADV
ejpam-3980	14	18	defined	define	VERB
ejpam-3980	14	19	.	.	PUNCT
ejpam-3980	15	1	in	in	ADP
ejpam-3980	15	2	2005	2005	NUM
ejpam-3980	15	3	,	,	PUNCT
ejpam-3980	15	4	d.	d.	PROPN
ejpam-3980	15	5	chen	chen	PROPN
ejpam-3980	16	1	[	[	X
ejpam-3980	16	2	6	6	NUM
ejpam-3980	16	3	]	]	PUNCT
ejpam-3980	16	4	,	,	PUNCT
ejpam-3980	16	5	presented	present	VERB
ejpam-3980	16	6	a	a	DET
ejpam-3980	16	7	new	new	ADJ
ejpam-3980	16	8	definition	definition	NOUN
ejpam-3980	16	9	of	of	ADP
ejpam-3980	16	10	soft	soft	ADJ
ejpam-3980	16	11	set	set	NOUN
ejpam-3980	16	12	parametrization	parametrization	NOUN
ejpam-3980	16	13	reduction	reduction	NOUN
ejpam-3980	16	14	and	and	CCONJ
ejpam-3980	16	15	a	a	DET
ejpam-3980	16	16	comparison	comparison	NOUN
ejpam-3980	16	17	of	of	ADP
ejpam-3980	16	18	it	it	PRON
ejpam-3980	16	19	with	with	ADP
ejpam-3980	16	20	attribute	attribute	NOUN
ejpam-3980	16	21	reduction	reduction	NOUN
ejpam-3980	16	22	in	in	ADP
ejpam-3980	16	23	rough	rough	ADJ
ejpam-3980	16	24	set	set	NOUN
ejpam-3980	16	25	theory	theory	NOUN
ejpam-3980	16	26	.	.	PUNCT
ejpam-3980	17	1	recently	recently	ADV
ejpam-3980	17	2	,	,	PUNCT
ejpam-3980	17	3	on	on	ADP
ejpam-3980	17	4	soft	soft	ADJ
ejpam-3980	17	5	sets	set	NOUN
ejpam-3980	17	6	,	,	PUNCT
ejpam-3980	17	7	soft	soft	ADJ
ejpam-3980	17	8	topological	topological	ADJ
ejpam-3980	17	9	space	space	NOUN
ejpam-3980	17	10	has	have	AUX
ejpam-3980	17	11	been	be	AUX
ejpam-3980	17	12	studied	study	VERB
ejpam-3980	17	13	increasingly	increasingly	ADV
ejpam-3980	17	14	shabir	shabir	ADJ
ejpam-3980	17	15	and	and	CCONJ
ejpam-3980	17	16	naz	naz	PROPN
ejpam-3980	17	17	[	[	X
ejpam-3980	17	18	32	32	NUM
ejpam-3980	17	19	]	]	PUNCT
ejpam-3980	17	20	defined	define	VERB
ejpam-3980	17	21	the	the	DET
ejpam-3980	17	22	theory	theory	NOUN
ejpam-3980	17	23	of	of	ADP
ejpam-3980	17	24	soft	soft	ADJ
ejpam-3980	17	25	topological	topological	ADJ
ejpam-3980	17	26	space	space	NOUN
ejpam-3980	17	27	over	over	ADP
ejpam-3980	17	28	an	an	DET
ejpam-3980	17	29	initial	initial	ADJ
ejpam-3980	17	30	universe	universe	NOUN
ejpam-3980	17	31	with	with	ADP
ejpam-3980	17	32	a	a	DET
ejpam-3980	17	33	fixed	fix	VERB
ejpam-3980	17	34	set	set	NOUN
ejpam-3980	17	35	of	of	ADP
ejpam-3980	17	36	parameters	parameter	NOUN
ejpam-3980	17	37	.	.	PUNCT
ejpam-3980	18	1	çağman	çağman	NOUN
ejpam-3980	18	2	et	et	NOUN
ejpam-3980	18	3	al	al	PROPN
ejpam-3980	18	4	.	.	PUNCT
ejpam-3980	19	1	[	[	X
ejpam-3980	19	2	18	18	NUM
ejpam-3980	19	3	]	]	PUNCT
ejpam-3980	19	4	introduced	introduce	VERB
ejpam-3980	19	5	a	a	DET
ejpam-3980	19	6	topology	topology	NOUN
ejpam-3980	19	7	on	on	ADP
ejpam-3980	19	8	a	a	DET
ejpam-3980	19	9	soft	soft	ADJ
ejpam-3980	19	10	set	set	NOUN
ejpam-3980	19	11	called	call	VERB
ejpam-3980	19	12	”	"	PUNCT
ejpam-3980	19	13	soft	soft	ADJ
ejpam-3980	19	14	topology	topology	NOUN
ejpam-3980	19	15	”	"	PUNCT
ejpam-3980	19	16	and	and	CCONJ
ejpam-3980	19	17	presented	present	VERB
ejpam-3980	19	18	the	the	DET
ejpam-3980	19	19	foundations	foundation	NOUN
ejpam-3980	19	20	of	of	ADP
ejpam-3980	19	21	the	the	DET
ejpam-3980	19	22	theory	theory	NOUN
ejpam-3980	19	23	of	of	ADP
ejpam-3980	19	24	soft	soft	ADJ
ejpam-3980	19	25	topological	topological	ADJ
ejpam-3980	19	26	spaces	space	NOUN
ejpam-3980	19	27	.	.	PUNCT
ejpam-3980	20	1	moreover	moreover	ADV
ejpam-3980	20	2	,	,	PUNCT
ejpam-3980	20	3	many	many	ADJ
ejpam-3980	20	4	authors	author	NOUN
ejpam-3980	20	5	studied	study	VERB
ejpam-3980	20	6	soft	soft	ADJ
ejpam-3980	20	7	topology	topology	NOUN
ejpam-3980	20	8	and	and	CCONJ
ejpam-3980	20	9	its	its	PRON
ejpam-3980	20	10	applications	application	NOUN
ejpam-3980	20	11	(	(	PUNCT
ejpam-3980	20	12	e.g.	e.g.	ADV
ejpam-3980	20	13	[	[	X
ejpam-3980	20	14	8	8	NUM
ejpam-3980	20	15	,	,	PUNCT
ejpam-3980	20	16	9	9	NUM
ejpam-3980	20	17	,	,	PUNCT
ejpam-3980	20	18	11	11	NUM
ejpam-3980	20	19	]	]	NUM
ejpam-3980	20	20	)	)	PUNCT
ejpam-3980	20	21	.	.	PUNCT
ejpam-3980	21	1	later	later	ADV
ejpam-3980	21	2	tanay	tanay	PROPN
ejpam-3980	21	3	and	and	CCONJ
ejpam-3980	21	4	kandemir	kandemir	X
ejpam-3980	22	1	[	[	X
ejpam-3980	22	2	35	35	NUM
ejpam-3980	22	3	]	]	PUNCT
ejpam-3980	22	4	introduced	introduce	VERB
ejpam-3980	22	5	fuzzy	fuzzy	ADJ
ejpam-3980	22	6	soft	soft	ADJ
ejpam-3980	22	7	topological	topological	ADJ
ejpam-3980	22	8	space	space	NOUN
ejpam-3980	22	9	and	and	CCONJ
ejpam-3980	22	10	established	establish	VERB
ejpam-3980	22	11	the	the	DET
ejpam-3980	22	12	basic	basic	ADJ
ejpam-3980	22	13	doi	doi	NOUN
ejpam-3980	22	14	:	:	PUNCT
ejpam-3980	22	15	https://doi.org/10.29020/nybg.ejpam.v14i3.3980	https://doi.org/10.29020/nybg.ejpam.v14i3.3980	PROPN
ejpam-3980	22	16	email	email	NOUN
ejpam-3980	22	17	address	address	NOUN
ejpam-3980	22	18	:	:	PUNCT
ejpam-3980	22	19	dr.afsayed@hotmail.com	dr.afsayed@hotmail.com	PROPN
ejpam-3980	22	20	,	,	PUNCT
ejpam-3980	22	21	afssayed@uqu.edu.sa	afssayed@uqu.edu.sa	NOUN
ejpam-3980	22	22	(	(	PUNCT
ejpam-3980	22	23	a.	a.	PROPN
ejpam-3980	22	24	f.	f.	PROPN
ejpam-3980	22	25	sayed	say	VERB
ejpam-3980	22	26	)	)	PUNCT
ejpam-3980	22	27	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3980	23	1	760	760	NUM
ejpam-3980	23	2	©	©	PROPN
ejpam-3980	23	3	2021	2021	NUM
ejpam-3980	23	4	ejpam	ejpam	VERB
ejpam-3980	23	5	all	all	DET
ejpam-3980	23	6	rights	right	NOUN
ejpam-3980	23	7	reserved	reserve	VERB
ejpam-3980	23	8	.	.	PUNCT
ejpam-3980	24	1	a.	a.	PROPN
ejpam-3980	24	2	f.	f.	PROPN
ejpam-3980	24	3	sayed	sayed	PROPN
ejpam-3980	24	4	/	/	SYM
ejpam-3980	24	5	eur	eur	PROPN
ejpam-3980	24	6	.	.	PUNCT
ejpam-3980	25	1	j.	j.	PROPN
ejpam-3980	25	2	pure	pure	PROPN
ejpam-3980	25	3	appl	appl	PROPN
ejpam-3980	25	4	.	.	PROPN
ejpam-3980	25	5	math	math	PROPN
ejpam-3980	25	6	,	,	PUNCT
ejpam-3980	25	7	14	14	NUM
ejpam-3980	25	8	(	(	PUNCT
ejpam-3980	25	9	3	3	NUM
ejpam-3980	25	10	)	)	PUNCT
ejpam-3980	25	11	(	(	PUNCT
ejpam-3980	25	12	2021	2021	NUM
ejpam-3980	25	13	)	)	PUNCT
ejpam-3980	25	14	,	,	PUNCT
ejpam-3980	25	15	760	760	NUM
ejpam-3980	25	16	-	-	SYM
ejpam-3980	25	17	772	772	NUM
ejpam-3980	25	18	761	761	NUM
ejpam-3980	25	19	definitions	definition	NOUN
ejpam-3980	25	20	of	of	ADP
ejpam-3980	25	21	fuzzy	fuzzy	ADJ
ejpam-3980	25	22	soft	soft	ADJ
ejpam-3980	25	23	topological	topological	ADJ
ejpam-3980	25	24	space	space	NOUN
ejpam-3980	25	25	by	by	ADP
ejpam-3980	25	26	incorporating	incorporate	VERB
ejpam-3980	25	27	the	the	DET
ejpam-3980	25	28	fuzzy	fuzzy	ADJ
ejpam-3980	25	29	topology	topology	NOUN
ejpam-3980	25	30	and	and	CCONJ
ejpam-3980	25	31	soft	soft	ADJ
ejpam-3980	25	32	set	set	NOUN
ejpam-3980	25	33	.	.	PUNCT
ejpam-3980	26	1	fuzzy	fuzzy	ADJ
ejpam-3980	26	2	soft	soft	ADJ
ejpam-3980	26	3	topological	topological	ADJ
ejpam-3980	26	4	space	space	NOUN
ejpam-3980	26	5	was	be	AUX
ejpam-3980	26	6	applied	apply	VERB
ejpam-3980	26	7	in	in	ADP
ejpam-3980	26	8	various	various	ADJ
ejpam-3980	26	9	ways	way	NOUN
ejpam-3980	26	10	say	say	VERB
ejpam-3980	26	11	,	,	PUNCT
ejpam-3980	26	12	game	game	NOUN
ejpam-3980	26	13	theory	theory	NOUN
ejpam-3980	26	14	,	,	PUNCT
ejpam-3980	26	15	analysis	analysis	NOUN
ejpam-3980	26	16	,	,	PUNCT
ejpam-3980	26	17	etc	etc	X
ejpam-3980	26	18	.	.	X
ejpam-3980	26	19	fuzzy	fuzzy	ADJ
ejpam-3980	26	20	soft	soft	ADJ
ejpam-3980	26	21	set	set	NOUN
ejpam-3980	26	22	in	in	ADP
ejpam-3980	26	23	topological	topological	ADJ
ejpam-3980	26	24	space	space	NOUN
ejpam-3980	26	25	further	far	ADV
ejpam-3980	26	26	studied	study	VERB
ejpam-3980	26	27	by	by	ADP
ejpam-3980	26	28	roy	roy	PROPN
ejpam-3980	26	29	[	[	X
ejpam-3980	26	30	27	27	NUM
ejpam-3980	26	31	]	]	PUNCT
ejpam-3980	26	32	.	.	PUNCT
ejpam-3980	27	1	the	the	DET
ejpam-3980	27	2	authors	author	NOUN
ejpam-3980	27	3	[	[	X
ejpam-3980	27	4	13	13	NUM
ejpam-3980	27	5	,	,	PUNCT
ejpam-3980	27	6	19	19	NUM
ejpam-3980	27	7	,	,	PUNCT
ejpam-3980	27	8	33	33	NUM
ejpam-3980	27	9	]	]	PUNCT
ejpam-3980	27	10	are	be	AUX
ejpam-3980	27	11	successfully	successfully	ADV
ejpam-3980	27	12	applied	apply	VERB
ejpam-3980	27	13	fuzzy	fuzzy	ADJ
ejpam-3980	27	14	soft	soft	ADJ
ejpam-3980	27	15	topological	topological	ADJ
ejpam-3980	27	16	space	space	NOUN
ejpam-3980	27	17	in	in	ADP
ejpam-3980	27	18	real	real	ADJ
ejpam-3980	27	19	life	life	NOUN
ejpam-3980	27	20	.	.	PUNCT
ejpam-3980	28	1	in	in	ADP
ejpam-3980	28	2	1963	1963	NUM
ejpam-3980	28	3	,	,	PUNCT
ejpam-3980	28	4	kelly	kelly	PROPN
ejpam-3980	28	5	[	[	X
ejpam-3980	28	6	14	14	NUM
ejpam-3980	28	7	]	]	PUNCT
ejpam-3980	28	8	,	,	PUNCT
ejpam-3980	28	9	first	first	ADV
ejpam-3980	28	10	initiated	initiate	VERB
ejpam-3980	28	11	the	the	DET
ejpam-3980	28	12	concept	concept	NOUN
ejpam-3980	28	13	of	of	ADP
ejpam-3980	28	14	bitopological	bitopological	ADJ
ejpam-3980	28	15	spaces	space	NOUN
ejpam-3980	28	16	and	and	CCONJ
ejpam-3980	28	17	other	other	ADJ
ejpam-3980	28	18	authors	author	NOUN
ejpam-3980	28	19	have	have	AUX
ejpam-3980	28	20	contributed	contribute	VERB
ejpam-3980	28	21	to	to	ADP
ejpam-3980	28	22	development	development	NOUN
ejpam-3980	28	23	and	and	CCONJ
ejpam-3980	28	24	construction	construction	NOUN
ejpam-3980	28	25	of	of	ADP
ejpam-3980	28	26	some	some	DET
ejpam-3980	28	27	properties	property	NOUN
ejpam-3980	28	28	of	of	ADP
ejpam-3980	28	29	such	such	ADJ
ejpam-3980	28	30	spaces	space	NOUN
ejpam-3980	28	31	(	(	PUNCT
ejpam-3980	28	32	see	see	VERB
ejpam-3980	28	33	,	,	PUNCT
ejpam-3980	28	34	[	[	X
ejpam-3980	28	35	23	23	NUM
ejpam-3980	28	36	,	,	PUNCT
ejpam-3980	28	37	24	24	NUM
ejpam-3980	28	38	]	]	PUNCT
ejpam-3980	28	39	)	)	PUNCT
ejpam-3980	28	40	as	as	SCONJ
ejpam-3980	28	41	generalizations	generalization	NOUN
ejpam-3980	28	42	of	of	ADP
ejpam-3980	28	43	which	which	PRON
ejpam-3980	28	44	are	be	AUX
ejpam-3980	28	45	in	in	ADP
ejpam-3980	28	46	general	general	ADJ
ejpam-3980	28	47	topology	topology	NOUN
ejpam-3980	28	48	.	.	PUNCT
ejpam-3980	29	1	in	in	ADP
ejpam-3980	29	2	2014	2014	NUM
ejpam-3980	29	3	,	,	PUNCT
ejpam-3980	29	4	ittanagi	ittanagi	VERB
ejpam-3980	29	5	[	[	X
ejpam-3980	29	6	12	12	NUM
ejpam-3980	29	7	]	]	PUNCT
ejpam-3980	29	8	,	,	PUNCT
ejpam-3980	29	9	introduced	introduce	VERB
ejpam-3980	29	10	and	and	CCONJ
ejpam-3980	29	11	studied	study	VERB
ejpam-3980	29	12	the	the	DET
ejpam-3980	29	13	concept	concept	NOUN
ejpam-3980	29	14	of	of	ADP
ejpam-3980	29	15	soft	soft	ADJ
ejpam-3980	29	16	bitopological	bitopological	ADJ
ejpam-3980	29	17	spaces	space	NOUN
ejpam-3980	29	18	and	and	CCONJ
ejpam-3980	29	19	other	other	ADJ
ejpam-3980	29	20	authors	author	NOUN
ejpam-3980	29	21	have	have	AUX
ejpam-3980	29	22	contributed	contribute	VERB
ejpam-3980	29	23	to	to	ADP
ejpam-3980	29	24	development	development	NOUN
ejpam-3980	29	25	and	and	CCONJ
ejpam-3980	29	26	construction	construction	NOUN
ejpam-3980	29	27	of	of	ADP
ejpam-3980	29	28	some	some	DET
ejpam-3980	29	29	properties	property	NOUN
ejpam-3980	29	30	of	of	ADP
ejpam-3980	29	31	such	such	ADJ
ejpam-3980	29	32	spaces	space	NOUN
ejpam-3980	29	33	(	(	PUNCT
ejpam-3980	29	34	see	see	VERB
ejpam-3980	29	35	,	,	PUNCT
ejpam-3980	29	36	[	[	X
ejpam-3980	29	37	2	2	NUM
ejpam-3980	29	38	,	,	PUNCT
ejpam-3980	29	39	3	3	NUM
ejpam-3980	29	40	,	,	PUNCT
ejpam-3980	29	41	25	25	NUM
ejpam-3980	29	42	,	,	PUNCT
ejpam-3980	29	43	26	26	NUM
ejpam-3980	29	44	]	]	PUNCT
ejpam-3980	29	45	)	)	PUNCT
ejpam-3980	29	46	.	.	PUNCT
ejpam-3980	30	1	the	the	DET
ejpam-3980	30	2	notion	notion	NOUN
ejpam-3980	30	3	of	of	ADP
ejpam-3980	30	4	soft	soft	ADJ
ejpam-3980	30	5	bitopological	bitopological	ADJ
ejpam-3980	30	6	space	space	NOUN
ejpam-3980	30	7	was	be	AUX
ejpam-3980	30	8	introduced	introduce	VERB
ejpam-3980	30	9	using	use	VERB
ejpam-3980	30	10	different	different	ADJ
ejpam-3980	30	11	soft	soft	ADJ
ejpam-3980	30	12	topologies	topology	NOUN
ejpam-3980	30	13	on	on	ADP
ejpam-3980	30	14	an	an	DET
ejpam-3980	30	15	initial	initial	ADJ
ejpam-3980	30	16	universe	universe	NOUN
ejpam-3980	30	17	set	set	NOUN
ejpam-3980	30	18	.	.	PUNCT
ejpam-3980	31	1	on	on	ADP
ejpam-3980	31	2	the	the	DET
ejpam-3980	31	3	other	other	ADJ
ejpam-3980	31	4	hand	hand	NOUN
ejpam-3980	31	5	,	,	PUNCT
ejpam-3980	31	6	the	the	DET
ejpam-3980	31	7	mixed	mixed	ADJ
ejpam-3980	31	8	type	type	NOUN
ejpam-3980	31	9	of	of	ADP
ejpam-3980	31	10	soft	soft	ADJ
ejpam-3980	31	11	set	set	NOUN
ejpam-3980	31	12	theory	theory	NOUN
ejpam-3980	31	13	was	be	AUX
ejpam-3980	31	14	given	give	VERB
ejpam-3980	31	15	using	use	VERB
ejpam-3980	31	16	different	different	ADJ
ejpam-3980	31	17	soft	soft	ADJ
ejpam-3980	31	18	topologies	topology	NOUN
ejpam-3980	31	19	(	(	PUNCT
ejpam-3980	31	20	see	see	VERB
ejpam-3980	31	21	,	,	PUNCT
ejpam-3980	31	22	[	[	X
ejpam-3980	31	23	1	1	NUM
ejpam-3980	31	24	,	,	PUNCT
ejpam-3980	31	25	4	4	NUM
ejpam-3980	31	26	,	,	PUNCT
ejpam-3980	31	27	10	10	NUM
ejpam-3980	31	28	,	,	PUNCT
ejpam-3980	31	29	21	21	NUM
ejpam-3980	31	30	,	,	PUNCT
ejpam-3980	31	31	34	34	NUM
ejpam-3980	31	32	]	]	PUNCT
ejpam-3980	31	33	)	)	PUNCT
ejpam-3980	31	34	.	.	PUNCT
ejpam-3980	32	1	in	in	ADP
ejpam-3980	32	2	2015	2015	NUM
ejpam-3980	32	3	,	,	PUNCT
ejpam-3980	32	4	mukherjee	mukherjee	NOUN
ejpam-3980	32	5	and	and	CCONJ
ejpam-3980	32	6	park	park	NOUN
ejpam-3980	32	7	[	[	X
ejpam-3980	32	8	17	17	NUM
ejpam-3980	32	9	]	]	PUNCT
ejpam-3980	32	10	,	,	PUNCT
ejpam-3980	32	11	first	first	ADV
ejpam-3980	32	12	introduced	introduce	VERB
ejpam-3980	32	13	the	the	DET
ejpam-3980	32	14	notion	notion	NOUN
ejpam-3980	32	15	of	of	ADP
ejpam-3980	32	16	fuzzy	fuzzy	ADJ
ejpam-3980	32	17	soft	soft	ADJ
ejpam-3980	32	18	bitopological	bitopological	ADJ
ejpam-3980	32	19	space	space	NOUN
ejpam-3980	32	20	and	and	CCONJ
ejpam-3980	32	21	they	they	PRON
ejpam-3980	32	22	introduced	introduce	VERB
ejpam-3980	32	23	the	the	DET
ejpam-3980	32	24	notions	notion	NOUN
ejpam-3980	32	25	of	of	ADP
ejpam-3980	32	26	τ1τ2	τ1τ2	ADJ
ejpam-3980	32	27	-	-	ADJ
ejpam-3980	32	28	fuzzy	fuzzy	ADJ
ejpam-3980	32	29	soft	soft	ADJ
ejpam-3980	32	30	open(closed	open(closed	ADJ
ejpam-3980	32	31	)	)	PUNCT
ejpam-3980	32	32	sets	set	NOUN
ejpam-3980	32	33	,	,	PUNCT
ejpam-3980	32	34	τ1τ2	τ1τ2	ADJ
ejpam-3980	32	35	-	-	ADJ
ejpam-3980	32	36	fuzzy	fuzzy	ADJ
ejpam-3980	32	37	soft	soft	ADJ
ejpam-3980	32	38	interior	interior	NOUN
ejpam-3980	32	39	(	(	PUNCT
ejpam-3980	32	40	resp	resp	NOUN
ejpam-3980	32	41	.	.	PUNCT
ejpam-3980	33	1	closure	closure	NOUN
ejpam-3980	33	2	)	)	PUNCT
ejpam-3980	34	1	and	and	CCONJ
ejpam-3980	34	2	studied	study	VERB
ejpam-3980	34	3	some	some	PRON
ejpam-3980	34	4	of	of	ADP
ejpam-3980	34	5	their	their	PRON
ejpam-3980	34	6	basic	basic	ADJ
ejpam-3980	34	7	properties	property	NOUN
ejpam-3980	34	8	.	.	PUNCT
ejpam-3980	35	1	also	also	ADV
ejpam-3980	35	2	,	,	PUNCT
ejpam-3980	35	3	sayed	say	VERB
ejpam-3980	35	4	(	(	PUNCT
ejpam-3980	35	5	[	[	X
ejpam-3980	35	6	29–31	29–31	NOUN
ejpam-3980	35	7	]	]	PUNCT
ejpam-3980	35	8	)	)	PUNCT
ejpam-3980	35	9	were	be	AUX
ejpam-3980	35	10	extension	extension	NOUN
ejpam-3980	35	11	and	and	CCONJ
ejpam-3980	35	12	continuation	continuation	NOUN
ejpam-3980	35	13	of	of	ADP
ejpam-3980	35	14	studying	study	VERB
ejpam-3980	35	15	in	in	ADP
ejpam-3980	35	16	this	this	DET
ejpam-3980	35	17	trend	trend	NOUN
ejpam-3980	35	18	by	by	ADP
ejpam-3980	35	19	characterizing	characterize	VERB
ejpam-3980	35	20	new	new	ADJ
ejpam-3980	35	21	concepts	concept	NOUN
ejpam-3980	35	22	in	in	ADP
ejpam-3980	35	23	fuzzy	fuzzy	ADJ
ejpam-3980	35	24	soft	soft	ADJ
ejpam-3980	35	25	bitopological	bitopological	ADJ
ejpam-3980	35	26	spaces	space	NOUN
ejpam-3980	35	27	.	.	PUNCT
ejpam-3980	36	1	in	in	ADP
ejpam-3980	36	2	the	the	DET
ejpam-3980	36	3	present	present	ADJ
ejpam-3980	36	4	paper	paper	NOUN
ejpam-3980	36	5	,	,	PUNCT
ejpam-3980	36	6	we	we	PRON
ejpam-3980	36	7	introduce	introduce	VERB
ejpam-3980	36	8	the	the	DET
ejpam-3980	36	9	notions	notion	NOUN
ejpam-3980	36	10	of	of	ADP
ejpam-3980	36	11	(	(	PUNCT
ejpam-3980	36	12	1	1	NUM
ejpam-3980	36	13	,	,	PUNCT
ejpam-3980	36	14	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	36	15	soft	soft	ADJ
ejpam-3980	36	16	b	b	NOUN
ejpam-3980	36	17	-	-	PUNCT
ejpam-3980	36	18	separated	separate	VERB
ejpam-3980	36	19	sets	set	NOUN
ejpam-3980	36	20	,	,	PUNCT
ejpam-3980	36	21	(	(	PUNCT
ejpam-3980	36	22	1	1	NUM
ejpam-3980	36	23	,	,	PUNCT
ejpam-3980	36	24	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	36	25	soft	soft	ADJ
ejpam-3980	36	26	b	b	NOUN
ejpam-3980	36	27	-	-	PUNCT
ejpam-3980	36	28	connectedness	connectedness	NOUN
ejpam-3980	36	29	and	and	CCONJ
ejpam-3980	36	30	(	(	PUNCT
ejpam-3980	36	31	1	1	NUM
ejpam-3980	36	32	,	,	PUNCT
ejpam-3980	36	33	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	36	34	soft	soft	ADJ
ejpam-3980	36	35	b	b	NOUN
ejpam-3980	36	36	-	-	PUNCT
ejpam-3980	36	37	compactness	compactness	NOUN
ejpam-3980	36	38	in	in	ADP
ejpam-3980	36	39	fuzzy	fuzzy	ADJ
ejpam-3980	36	40	soft	soft	ADJ
ejpam-3980	36	41	bitopological	bitopological	ADJ
ejpam-3980	36	42	spaces	space	NOUN
ejpam-3980	36	43	.	.	PUNCT
ejpam-3980	37	1	then	then	ADV
ejpam-3980	37	2	,	,	PUNCT
ejpam-3980	37	3	some	some	DET
ejpam-3980	37	4	basic	basic	ADJ
ejpam-3980	37	5	topological	topological	ADJ
ejpam-3980	37	6	properties	property	NOUN
ejpam-3980	37	7	of	of	ADP
ejpam-3980	37	8	these	these	DET
ejpam-3980	37	9	notions	notion	NOUN
ejpam-3980	37	10	are	be	AUX
ejpam-3980	37	11	investigated	investigate	VERB
ejpam-3980	37	12	.	.	PUNCT
ejpam-3980	38	1	also	also	ADV
ejpam-3980	38	2	,	,	PUNCT
ejpam-3980	38	3	some	some	DET
ejpam-3980	38	4	illustrative	illustrative	ADJ
ejpam-3980	38	5	examples	example	NOUN
ejpam-3980	38	6	are	be	AUX
ejpam-3980	38	7	given	give	VERB
ejpam-3980	38	8	to	to	PART
ejpam-3980	38	9	show	show	VERB
ejpam-3980	38	10	the	the	DET
ejpam-3980	38	11	importance	importance	NOUN
ejpam-3980	38	12	of	of	ADP
ejpam-3980	38	13	the	the	DET
ejpam-3980	38	14	obtained	obtain	VERB
ejpam-3980	38	15	theorems	theorem	NOUN
ejpam-3980	38	16	.	.	PUNCT
ejpam-3980	39	1	2	2	X
ejpam-3980	39	2	.	.	NUM
ejpam-3980	39	3	preliminaries	preliminary	NOUN
ejpam-3980	39	4	in	in	ADP
ejpam-3980	39	5	this	this	DET
ejpam-3980	39	6	section	section	NOUN
ejpam-3980	39	7	we	we	PRON
ejpam-3980	39	8	are	be	AUX
ejpam-3980	39	9	going	go	VERB
ejpam-3980	39	10	to	to	PART
ejpam-3980	39	11	present	present	VERB
ejpam-3980	39	12	the	the	DET
ejpam-3980	39	13	basic	basic	ADJ
ejpam-3980	39	14	definitions	definition	NOUN
ejpam-3980	39	15	and	and	CCONJ
ejpam-3980	39	16	results	result	NOUN
ejpam-3980	39	17	of	of	ADP
ejpam-3980	39	18	fuzzy	fuzzy	ADJ
ejpam-3980	39	19	soft	soft	ADJ
ejpam-3980	39	20	set	set	NOUN
ejpam-3980	39	21	and	and	CCONJ
ejpam-3980	39	22	fuzzy	fuzzy	ADJ
ejpam-3980	39	23	soft	soft	ADJ
ejpam-3980	39	24	bitopological	bitopological	ADJ
ejpam-3980	39	25	space	space	NOUN
ejpam-3980	39	26	which	which	PRON
ejpam-3980	39	27	will	will	AUX
ejpam-3980	39	28	be	be	AUX
ejpam-3980	39	29	a	a	DET
ejpam-3980	39	30	central	central	ADJ
ejpam-3980	39	31	role	role	NOUN
ejpam-3980	39	32	in	in	ADP
ejpam-3980	39	33	our	our	PRON
ejpam-3980	39	34	paper	paper	NOUN
ejpam-3980	39	35	.	.	PUNCT
ejpam-3980	40	1	throughout	throughout	ADP
ejpam-3980	40	2	our	our	PRON
ejpam-3980	40	3	discussion	discussion	NOUN
ejpam-3980	40	4	,	,	PUNCT
ejpam-3980	40	5	x	x	PRON
ejpam-3980	40	6	refers	refer	VERB
ejpam-3980	40	7	to	to	ADP
ejpam-3980	40	8	an	an	DET
ejpam-3980	40	9	initial	initial	ADJ
ejpam-3980	40	10	universe	universe	NOUN
ejpam-3980	40	11	,	,	PUNCT
ejpam-3980	40	12	e	e	X
ejpam-3980	40	13	the	the	DET
ejpam-3980	40	14	set	set	NOUN
ejpam-3980	40	15	of	of	ADP
ejpam-3980	40	16	all	all	DET
ejpam-3980	40	17	parameters	parameter	NOUN
ejpam-3980	40	18	for	for	ADP
ejpam-3980	40	19	x	x	PROPN
ejpam-3980	40	20	and	and	CCONJ
ejpam-3980	40	21	p	p	X
ejpam-3980	40	22	(	(	PUNCT
ejpam-3980	40	23	x	x	NOUN
ejpam-3980	40	24	)	)	PUNCT
ejpam-3980	40	25	denotes	denote	VERB
ejpam-3980	40	26	the	the	DET
ejpam-3980	40	27	power	power	NOUN
ejpam-3980	40	28	set	set	NOUN
ejpam-3980	40	29	of	of	ADP
ejpam-3980	40	30	x.	x.	NOUN
ejpam-3980	40	31	definition	definition	NOUN
ejpam-3980	40	32	1	1	NUM
ejpam-3980	40	33	.	.	PUNCT
ejpam-3980	41	1	[	[	X
ejpam-3980	41	2	36	36	NUM
ejpam-3980	41	3	]	]	X
ejpam-3980	41	4	a	a	DET
ejpam-3980	41	5	fuzzy	fuzzy	ADJ
ejpam-3980	41	6	set	set	VERB
ejpam-3980	41	7	a	a	PRON
ejpam-3980	41	8	in	in	ADP
ejpam-3980	41	9	a	a	DET
ejpam-3980	41	10	non	non	ADJ
ejpam-3980	41	11	-	-	ADJ
ejpam-3980	41	12	empty	empty	ADJ
ejpam-3980	41	13	set	set	NOUN
ejpam-3980	41	14	x	x	PUNCT
ejpam-3980	41	15	is	be	AUX
ejpam-3980	41	16	characterized	characterize	VERB
ejpam-3980	41	17	by	by	ADP
ejpam-3980	41	18	a	a	DET
ejpam-3980	41	19	membership	membership	NOUN
ejpam-3980	41	20	function	function	NOUN
ejpam-3980	41	21	µa	µa	NOUN
ejpam-3980	41	22	:	:	PUNCT
ejpam-3980	41	23	x	x	X
ejpam-3980	41	24	→	→	SYM
ejpam-3980	42	1	[	[	X
ejpam-3980	42	2	0	0	NUM
ejpam-3980	42	3	,	,	PUNCT
ejpam-3980	42	4	1	1	NUM
ejpam-3980	42	5	]	]	PUNCT
ejpam-3980	42	6	=	=	PUNCT
ejpam-3980	42	7	i	i	PRON
ejpam-3980	43	1	whose	whose	DET
ejpam-3980	43	2	value	value	NOUN
ejpam-3980	43	3	µa(x	µa(x	PUNCT
ejpam-3980	43	4	)	)	PUNCT
ejpam-3980	43	5	represents	represent	VERB
ejpam-3980	43	6	the	the	DET
ejpam-3980	43	7	”	"	PUNCT
ejpam-3980	43	8	degree	degree	NOUN
ejpam-3980	43	9	of	of	ADP
ejpam-3980	43	10	membership	membership	NOUN
ejpam-3980	43	11	”	"	PUNCT
ejpam-3980	43	12	of	of	ADP
ejpam-3980	43	13	x	x	PRON
ejpam-3980	43	14	in	in	ADP
ejpam-3980	43	15	a	a	PRON
ejpam-3980	43	16	for	for	ADP
ejpam-3980	43	17	every	every	PRON
ejpam-3980	43	18	x	x	NOUN
ejpam-3980	43	19	in	in	ADP
ejpam-3980	43	20	x.	x.	NOUN
ejpam-3980	43	21	let	let	VERB
ejpam-3980	43	22	ix	ix	PROPN
ejpam-3980	43	23	denotes	denote	NOUN
ejpam-3980	43	24	the	the	DET
ejpam-3980	43	25	family	family	NOUN
ejpam-3980	43	26	of	of	ADP
ejpam-3980	43	27	all	all	DET
ejpam-3980	43	28	fuzzy	fuzzy	ADJ
ejpam-3980	43	29	sets	set	NOUN
ejpam-3980	43	30	on	on	ADP
ejpam-3980	43	31	x.	x.	NOUN
ejpam-3980	43	32	definition	definition	NOUN
ejpam-3980	43	33	2	2	NUM
ejpam-3980	43	34	.	.	PUNCT
ejpam-3980	44	1	[	[	X
ejpam-3980	44	2	36	36	NUM
ejpam-3980	44	3	]	]	PUNCT
ejpam-3980	44	4	the	the	DET
ejpam-3980	44	5	empty	empty	ADJ
ejpam-3980	44	6	fuzzy	fuzzy	ADJ
ejpam-3980	44	7	set	set	NOUN
ejpam-3980	44	8	on	on	ADP
ejpam-3980	44	9	x	x	PUNCT
ejpam-3980	44	10	denoted	denote	VERB
ejpam-3980	44	11	by	by	ADP
ejpam-3980	44	12	0̃	0̃	PROPN
ejpam-3980	44	13	is	be	AUX
ejpam-3980	44	14	a	a	DET
ejpam-3980	44	15	function	function	NOUN
ejpam-3980	44	16	which	which	PRON
ejpam-3980	44	17	maps	map	VERB
ejpam-3980	44	18	each	each	DET
ejpam-3980	44	19	x	x	SYM
ejpam-3980	44	20	∈	∈	PROPN
ejpam-3980	44	21	x	x	PUNCT
ejpam-3980	44	22	to	to	ADP
ejpam-3980	44	23	0	0	NUM
ejpam-3980	44	24	.	.	PUNCT
ejpam-3980	45	1	that	that	PRON
ejpam-3980	45	2	is	be	AUX
ejpam-3980	45	3	,	,	PUNCT
ejpam-3980	45	4	0̃(x	0̃(x	PRON
ejpam-3980	45	5	)	)	PUNCT
ejpam-3980	45	6	=	=	SYM
ejpam-3980	45	7	0	0	NUM
ejpam-3980	45	8	for	for	ADP
ejpam-3980	45	9	all	all	PRON
ejpam-3980	45	10	x	x	SYM
ejpam-3980	45	11	∈	∈	NOUN
ejpam-3980	45	12	x.	x.	NOUN
ejpam-3980	45	13	a	a	DET
ejpam-3980	45	14	universal	universal	ADJ
ejpam-3980	45	15	fuzzy	fuzzy	ADJ
ejpam-3980	45	16	set	set	NOUN
ejpam-3980	45	17	denoted	denote	VERB
ejpam-3980	45	18	by	by	ADP
ejpam-3980	45	19	1̃	1̃	NUM
ejpam-3980	45	20	is	be	AUX
ejpam-3980	45	21	a	a	DET
ejpam-3980	45	22	function	function	NOUN
ejpam-3980	45	23	,	,	PUNCT
ejpam-3980	45	24	which	which	PRON
ejpam-3980	45	25	maps	map	VERB
ejpam-3980	45	26	each	each	DET
ejpam-3980	45	27	x	x	SYM
ejpam-3980	45	28	∈	∈	PROPN
ejpam-3980	45	29	x	x	PUNCT
ejpam-3980	45	30	to	to	ADP
ejpam-3980	45	31	1	1	NUM
ejpam-3980	45	32	.	.	PUNCT
ejpam-3980	46	1	that	that	PRON
ejpam-3980	46	2	is	be	AUX
ejpam-3980	46	3	,	,	PUNCT
ejpam-3980	46	4	1̃(x	1̃(x	X
ejpam-3980	46	5	)	)	PUNCT
ejpam-3980	46	6	=	=	SYM
ejpam-3980	46	7	1	1	NUM
ejpam-3980	46	8	for	for	ADP
ejpam-3980	46	9	all	all	DET
ejpam-3980	46	10	x	x	SYM
ejpam-3980	46	11	∈	∈	NOUN
ejpam-3980	46	12	x.	x.	NOUN
ejpam-3980	46	13	definition	definition	NOUN
ejpam-3980	46	14	3	3	NUM
ejpam-3980	46	15	.	.	PUNCT
ejpam-3980	47	1	[	[	X
ejpam-3980	47	2	16	16	NUM
ejpam-3980	47	3	]	]	PUNCT
ejpam-3980	47	4	let	let	VERB
ejpam-3980	47	5	a	a	DET
ejpam-3980	47	6	⊆	⊆	NUM
ejpam-3980	47	7	e.	e.	PROPN
ejpam-3980	47	8	a	a	DET
ejpam-3980	47	9	pair	pair	NOUN
ejpam-3980	47	10	(	(	PUNCT
ejpam-3980	47	11	f	f	X
ejpam-3980	47	12	,	,	PUNCT
ejpam-3980	47	13	a	a	PRON
ejpam-3980	47	14	)	)	PUNCT
ejpam-3980	47	15	is	be	AUX
ejpam-3980	47	16	called	call	VERB
ejpam-3980	47	17	a	a	DET
ejpam-3980	47	18	soft	soft	ADJ
ejpam-3980	47	19	set	set	NOUN
ejpam-3980	47	20	over	over	ADP
ejpam-3980	47	21	x	x	PUNCT
ejpam-3980	47	22	if	if	SCONJ
ejpam-3980	47	23	f	f	PROPN
ejpam-3980	47	24	is	be	AUX
ejpam-3980	47	25	a	a	DET
ejpam-3980	47	26	mapping	mapping	NOUN
ejpam-3980	47	27	given	give	VERB
ejpam-3980	47	28	by	by	ADP
ejpam-3980	47	29	f	f	PROPN
ejpam-3980	47	30	:	:	PUNCT
ejpam-3980	47	31	a→	a→	PUNCT
ejpam-3980	47	32	p	p	X
ejpam-3980	47	33	(	(	PUNCT
ejpam-3980	47	34	x	x	NOUN
ejpam-3980	47	35	)	)	PUNCT
ejpam-3980	47	36	.	.	PUNCT
ejpam-3980	48	1	definition	definition	NOUN
ejpam-3980	48	2	4	4	NUM
ejpam-3980	48	3	.	.	PUNCT
ejpam-3980	49	1	[	[	X
ejpam-3980	49	2	15	15	NUM
ejpam-3980	49	3	]	]	PUNCT
ejpam-3980	49	4	let	let	VERB
ejpam-3980	49	5	a	a	DET
ejpam-3980	49	6	⊆	⊆	NUM
ejpam-3980	49	7	e.	e.	PROPN
ejpam-3980	49	8	a	a	DET
ejpam-3980	49	9	pair	pair	NOUN
ejpam-3980	49	10	(	(	PUNCT
ejpam-3980	49	11	f	f	X
ejpam-3980	49	12	,	,	PUNCT
ejpam-3980	49	13	a	a	PRON
ejpam-3980	49	14	)	)	PUNCT
ejpam-3980	49	15	,	,	PUNCT
ejpam-3980	49	16	denoted	denote	VERB
ejpam-3980	49	17	by	by	ADP
ejpam-3980	49	18	fa	fa	PROPN
ejpam-3980	49	19	,	,	PUNCT
ejpam-3980	49	20	is	be	AUX
ejpam-3980	49	21	called	call	VERB
ejpam-3980	49	22	a	a	DET
ejpam-3980	49	23	fuzzy	fuzzy	ADJ
ejpam-3980	49	24	soft	soft	ADJ
ejpam-3980	49	25	set	set	NOUN
ejpam-3980	49	26	over	over	ADP
ejpam-3980	49	27	x	x	NOUN
ejpam-3980	49	28	,	,	PUNCT
ejpam-3980	49	29	where	where	SCONJ
ejpam-3980	49	30	f	f	PROPN
ejpam-3980	49	31	is	be	AUX
ejpam-3980	49	32	a	a	DET
ejpam-3980	49	33	mapping	mapping	NOUN
ejpam-3980	49	34	given	give	VERB
ejpam-3980	49	35	by	by	ADP
ejpam-3980	49	36	f	f	PROPN
ejpam-3980	49	37	:	:	PUNCT
ejpam-3980	49	38	a→	a→	PUNCT
ejpam-3980	49	39	ix	ix	ADV
ejpam-3980	49	40	defined	define	VERB
ejpam-3980	49	41	by	by	ADP
ejpam-3980	49	42	fa(e	fa(e	NOUN
ejpam-3980	49	43	)	)	PUNCT
ejpam-3980	50	1	=	=	NOUN
ejpam-3980	50	2	µefa	µefa	NOUN
ejpam-3980	50	3	where	where	SCONJ
ejpam-3980	50	4	a.	a.	PROPN
ejpam-3980	50	5	f.	f.	PROPN
ejpam-3980	50	6	sayed	sayed	PROPN
ejpam-3980	50	7	/	/	SYM
ejpam-3980	50	8	eur	eur	PROPN
ejpam-3980	50	9	.	.	PUNCT
ejpam-3980	51	1	j.	j.	PROPN
ejpam-3980	51	2	pure	pure	PROPN
ejpam-3980	51	3	appl	appl	PROPN
ejpam-3980	51	4	.	.	PROPN
ejpam-3980	51	5	math	math	PROPN
ejpam-3980	51	6	,	,	PUNCT
ejpam-3980	51	7	14	14	NUM
ejpam-3980	51	8	(	(	PUNCT
ejpam-3980	51	9	3	3	NUM
ejpam-3980	51	10	)	)	PUNCT
ejpam-3980	51	11	(	(	PUNCT
ejpam-3980	51	12	2021	2021	NUM
ejpam-3980	51	13	)	)	PUNCT
ejpam-3980	51	14	,	,	PUNCT
ejpam-3980	51	15	760	760	NUM
ejpam-3980	51	16	-	-	SYM
ejpam-3980	51	17	772	772	NUM
ejpam-3980	51	18	762	762	NUM
ejpam-3980	51	19	µefa	µefa	NOUN
ejpam-3980	51	20	=	=	NOUN
ejpam-3980	51	21	{	{	PUNCT
ejpam-3980	51	22	0̃	0̃	NOUN
ejpam-3980	51	23	,	,	PUNCT
ejpam-3980	51	24	if	if	SCONJ
ejpam-3980	51	25	e	e	NOUN
ejpam-3980	51	26	/∈	/∈	VERB
ejpam-3980	52	1	a	a	X
ejpam-3980	52	2	;	;	PUNCT
ejpam-3980	52	3	otherwise	otherwise	ADV
ejpam-3980	52	4	,	,	PUNCT
ejpam-3980	52	5	if	if	SCONJ
ejpam-3980	52	6	e	e	PROPN
ejpam-3980	52	7	∈	∈	PROPN
ejpam-3980	52	8	a.	a.	NOUN
ejpam-3980	52	9	(	(	PUNCT
ejpam-3980	52	10	̃x	̃x	NOUN
ejpam-3980	52	11	,	,	PUNCT
ejpam-3980	52	12	e	e	NOUN
ejpam-3980	52	13	)	)	PUNCT
ejpam-3980	52	14	denotes	denote	VERB
ejpam-3980	52	15	the	the	DET
ejpam-3980	52	16	family	family	NOUN
ejpam-3980	52	17	of	of	ADP
ejpam-3980	52	18	all	all	DET
ejpam-3980	52	19	fuzzy	fuzzy	ADJ
ejpam-3980	52	20	soft	soft	ADJ
ejpam-3980	52	21	sets	set	NOUN
ejpam-3980	52	22	over	over	ADP
ejpam-3980	52	23	(	(	PUNCT
ejpam-3980	52	24	x	x	NOUN
ejpam-3980	52	25	,	,	PUNCT
ejpam-3980	52	26	e	e	NOUN
ejpam-3980	52	27	)	)	PUNCT
ejpam-3980	52	28	.	.	PUNCT
ejpam-3980	53	1	definition	definition	NOUN
ejpam-3980	53	2	5	5	NUM
ejpam-3980	53	3	.	.	PUNCT
ejpam-3980	54	1	[	[	X
ejpam-3980	54	2	22	22	NUM
ejpam-3980	54	3	]	]	PUNCT
ejpam-3980	54	4	a	a	DET
ejpam-3980	54	5	fuzzy	fuzzy	ADJ
ejpam-3980	54	6	soft	soft	ADJ
ejpam-3980	54	7	set	set	NOUN
ejpam-3980	54	8	fa∈̃(̃x	fa∈̃(̃x	ADJ
ejpam-3980	54	9	,	,	PUNCT
ejpam-3980	54	10	e	e	NOUN
ejpam-3980	54	11	)	)	PUNCT
ejpam-3980	54	12	is	be	AUX
ejpam-3980	54	13	said	say	VERB
ejpam-3980	54	14	to	to	PART
ejpam-3980	54	15	be	be	AUX
ejpam-3980	54	16	:	:	PUNCT
ejpam-3980	54	17	(	(	PUNCT
ejpam-3980	54	18	a	a	X
ejpam-3980	54	19	)	)	PUNCT
ejpam-3980	54	20	null	null	ADJ
ejpam-3980	54	21	fuzzy	fuzzy	ADJ
ejpam-3980	54	22	soft	soft	ADJ
ejpam-3980	54	23	set	set	NOUN
ejpam-3980	54	24	,	,	PUNCT
ejpam-3980	54	25	denoted	denote	VERB
ejpam-3980	54	26	by	by	ADP
ejpam-3980	54	27	φ̃	φ̃	PROPN
ejpam-3980	54	28	,	,	PUNCT
ejpam-3980	54	29	if	if	SCONJ
ejpam-3980	54	30	for	for	ADP
ejpam-3980	54	31	all	all	DET
ejpam-3980	54	32	e	e	PROPN
ejpam-3980	54	33	∈	∈	PROPN
ejpam-3980	54	34	a	a	PRON
ejpam-3980	54	35	,	,	PUNCT
ejpam-3980	54	36	fa(e	fa(e	X
ejpam-3980	54	37	)	)	PUNCT
ejpam-3980	54	38	=	=	SYM
ejpam-3980	55	1	0̃.	0̃.	NUM
ejpam-3980	55	2	(	(	PUNCT
ejpam-3980	55	3	b	b	NOUN
ejpam-3980	55	4	)	)	PUNCT
ejpam-3980	55	5	absolute	absolute	ADJ
ejpam-3980	55	6	fuzzy	fuzzy	ADJ
ejpam-3980	55	7	soft	soft	ADJ
ejpam-3980	55	8	set	set	NOUN
ejpam-3980	55	9	,	,	PUNCT
ejpam-3980	55	10	denoted	denote	VERB
ejpam-3980	55	11	by	by	ADP
ejpam-3980	55	12	ẽ	ẽ	PROPN
ejpam-3980	55	13	,	,	PUNCT
ejpam-3980	55	14	if	if	SCONJ
ejpam-3980	55	15	for	for	ADP
ejpam-3980	55	16	all	all	DET
ejpam-3980	55	17	e	e	NOUN
ejpam-3980	55	18	∈	∈	PROPN
ejpam-3980	55	19	e	e	NOUN
ejpam-3980	55	20	,	,	PUNCT
ejpam-3980	55	21	fa(e	fa(e	X
ejpam-3980	55	22	)	)	PUNCT
ejpam-3980	56	1	=	=	SYM
ejpam-3980	56	2	1̃.	1̃.	NUM
ejpam-3980	56	3	note	note	VERB
ejpam-3980	56	4	that	that	SCONJ
ejpam-3980	56	5	throughout	throughout	ADP
ejpam-3980	56	6	our	our	PRON
ejpam-3980	56	7	discussion	discussion	NOUN
ejpam-3980	56	8	in	in	ADP
ejpam-3980	56	9	this	this	DET
ejpam-3980	56	10	paper	paper	NOUN
ejpam-3980	56	11	,	,	PUNCT
ejpam-3980	56	12	0̃e	0̃e	PROPN
ejpam-3980	56	13	and	and	CCONJ
ejpam-3980	56	14	1̃e	1̃e	PROPN
ejpam-3980	56	15	will	will	AUX
ejpam-3980	56	16	be	be	AUX
ejpam-3980	56	17	denoted	denote	VERB
ejpam-3980	56	18	for	for	ADP
ejpam-3980	56	19	φ̃	φ̃	PROPN
ejpam-3980	56	20	and	and	CCONJ
ejpam-3980	56	21	ẽ	ẽ	PROPN
ejpam-3980	56	22	,	,	PUNCT
ejpam-3980	56	23	respectively	respectively	ADV
ejpam-3980	56	24	.	.	PUNCT
ejpam-3980	57	1	definition	definition	NOUN
ejpam-3980	57	2	6	6	NUM
ejpam-3980	57	3	.	.	PUNCT
ejpam-3980	58	1	[	[	X
ejpam-3980	58	2	27	27	NUM
ejpam-3980	58	3	]	]	PUNCT
ejpam-3980	58	4	the	the	DET
ejpam-3980	58	5	complement	complement	NOUN
ejpam-3980	58	6	of	of	ADP
ejpam-3980	58	7	a	a	DET
ejpam-3980	58	8	fuzzy	fuzzy	ADJ
ejpam-3980	58	9	soft	soft	ADJ
ejpam-3980	58	10	set	set	NOUN
ejpam-3980	58	11	fa	fa	NOUN
ejpam-3980	58	12	,	,	PUNCT
ejpam-3980	58	13	denoted	denote	VERB
ejpam-3980	58	14	by	by	ADP
ejpam-3980	58	15	f	f	PROPN
ejpam-3980	58	16	ca	can	AUX
ejpam-3980	58	17	where	where	SCONJ
ejpam-3980	58	18	f	f	PROPN
ejpam-3980	58	19	ca	can	AUX
ejpam-3980	58	20	:	:	PUNCT
ejpam-3980	58	21	e	e	X
ejpam-3980	58	22	→	→	PUNCT
ejpam-3980	58	23	ix	ix	ADV
ejpam-3980	58	24	is	be	AUX
ejpam-3980	58	25	a	a	DET
ejpam-3980	58	26	mapping	mapping	NOUN
ejpam-3980	58	27	given	give	VERB
ejpam-3980	58	28	by	by	ADP
ejpam-3980	58	29	µefca	µefca	NOUN
ejpam-3980	58	30	=	=	SYM
ejpam-3980	58	31	1̃−µefa	1̃−µefa	NUM
ejpam-3980	58	32	,	,	PUNCT
ejpam-3980	58	33	for	for	ADP
ejpam-3980	58	34	all	all	DET
ejpam-3980	58	35	e	e	NOUN
ejpam-3980	58	36	∈	∈	NOUN
ejpam-3980	58	37	e	e	NOUN
ejpam-3980	58	38	and	and	CCONJ
ejpam-3980	58	39	where	where	SCONJ
ejpam-3980	58	40	1̃(x	1̃(x	NUM
ejpam-3980	58	41	)	)	PUNCT
ejpam-3980	58	42	=	=	SYM
ejpam-3980	58	43	1	1	NUM
ejpam-3980	58	44	,	,	PUNCT
ejpam-3980	58	45	for	for	ADP
ejpam-3980	58	46	all	all	PRON
ejpam-3980	58	47	x	x	SYM
ejpam-3980	58	48	∈	∈	NOUN
ejpam-3980	58	49	x.	x.	NOUN
ejpam-3980	58	50	clearly	clearly	ADV
ejpam-3980	58	51	(	(	PUNCT
ejpam-3980	58	52	f	f	PROPN
ejpam-3980	58	53	ca)c	ca)c	PROPN
ejpam-3980	58	54	=	=	SYM
ejpam-3980	58	55	fa	fa	PROPN
ejpam-3980	58	56	.	.	NOUN
ejpam-3980	58	57	definition	definition	NOUN
ejpam-3980	58	58	7	7	NUM
ejpam-3980	58	59	.	.	PUNCT
ejpam-3980	59	1	[	[	X
ejpam-3980	59	2	27	27	NUM
ejpam-3980	59	3	]	]	X
ejpam-3980	59	4	let	let	VERB
ejpam-3980	59	5	fa	fa	X
ejpam-3980	59	6	,	,	PUNCT
ejpam-3980	59	7	gb	gb	PRON
ejpam-3980	59	8	∈	∈	PROPN
ejpam-3980	59	9	(	(	PUNCT
ejpam-3980	59	10	̃x	̃x	NOUN
ejpam-3980	59	11	,	,	PUNCT
ejpam-3980	59	12	e	e	NOUN
ejpam-3980	59	13	)	)	PUNCT
ejpam-3980	59	14	.	.	PUNCT
ejpam-3980	60	1	fa	fa	PROPN
ejpam-3980	60	2	is	be	AUX
ejpam-3980	60	3	fuzzy	fuzzy	ADJ
ejpam-3980	60	4	soft	soft	ADJ
ejpam-3980	60	5	subset	subset	NOUN
ejpam-3980	60	6	of	of	ADP
ejpam-3980	60	7	gb	gb	PRON
ejpam-3980	60	8	,	,	PUNCT
ejpam-3980	60	9	denoted	denote	VERB
ejpam-3980	60	10	by	by	ADP
ejpam-3980	60	11	fa⊆̃gb	fa⊆̃gb	PROPN
ejpam-3980	60	12	,	,	PUNCT
ejpam-3980	60	13	if	if	SCONJ
ejpam-3980	60	14	a	a	DET
ejpam-3980	60	15	⊆	⊆	NUM
ejpam-3980	60	16	b	b	NOUN
ejpam-3980	60	17	and	and	CCONJ
ejpam-3980	60	18	µefa	µefa	NOUN
ejpam-3980	60	19	≤	≤	ADV
ejpam-3980	60	20	µ	µ	NUM
ejpam-3980	60	21	e	e	X
ejpam-3980	60	22	gb	gb	NOUN
ejpam-3980	60	23	for	for	ADP
ejpam-3980	60	24	all	all	DET
ejpam-3980	60	25	e	e	PROPN
ejpam-3980	60	26	∈	∈	PROPN
ejpam-3980	60	27	a	a	PRON
ejpam-3980	60	28	,	,	PUNCT
ejpam-3980	60	29	that	that	ADV
ejpam-3980	60	30	is	is	ADV
ejpam-3980	60	31	,	,	PUNCT
ejpam-3980	60	32	µefa(x	µefa(x	NOUN
ejpam-3980	60	33	)	)	PUNCT
ejpam-3980	60	34	≤	≤	NOUN
ejpam-3980	60	35	µegb	µegb	NOUN
ejpam-3980	60	36	(	(	PUNCT
ejpam-3980	60	37	x	x	X
ejpam-3980	60	38	)	)	PUNCT
ejpam-3980	60	39	for	for	ADP
ejpam-3980	60	40	all	all	DET
ejpam-3980	60	41	x	x	SYM
ejpam-3980	60	42	∈	∈	PROPN
ejpam-3980	60	43	x	x	X
ejpam-3980	60	44	and	and	CCONJ
ejpam-3980	60	45	for	for	ADP
ejpam-3980	60	46	all	all	DET
ejpam-3980	60	47	e	e	PROPN
ejpam-3980	60	48	∈	∈	PROPN
ejpam-3980	60	49	a.	a.	NOUN
ejpam-3980	60	50	definition	definition	NOUN
ejpam-3980	60	51	8	8	NUM
ejpam-3980	60	52	.	.	PUNCT
ejpam-3980	61	1	[	[	X
ejpam-3980	61	2	27	27	NUM
ejpam-3980	61	3	]	]	X
ejpam-3980	61	4	let	let	VERB
ejpam-3980	61	5	fa	fa	NOUN
ejpam-3980	61	6	,	,	PUNCT
ejpam-3980	61	7	gb∈̃(̃x	gb∈̃(̃x	VERB
ejpam-3980	61	8	,	,	PUNCT
ejpam-3980	61	9	e	e	NOUN
ejpam-3980	61	10	)	)	PUNCT
ejpam-3980	61	11	.	.	PUNCT
ejpam-3980	62	1	the	the	DET
ejpam-3980	62	2	union	union	NOUN
ejpam-3980	62	3	of	of	ADP
ejpam-3980	62	4	fa	fa	PROPN
ejpam-3980	62	5	and	and	CCONJ
ejpam-3980	62	6	gb	gb	PROPN
ejpam-3980	62	7	is	be	AUX
ejpam-3980	62	8	also	also	ADV
ejpam-3980	62	9	a	a	DET
ejpam-3980	62	10	fuzzy	fuzzy	ADJ
ejpam-3980	62	11	soft	soft	ADJ
ejpam-3980	62	12	set	set	NOUN
ejpam-3980	62	13	hc	hc	NOUN
ejpam-3980	62	14	,	,	PUNCT
ejpam-3980	62	15	where	where	SCONJ
ejpam-3980	62	16	c	c	NOUN
ejpam-3980	62	17	=	=	SYM
ejpam-3980	62	18	a∪b	a∪b	NOUN
ejpam-3980	62	19	and	and	CCONJ
ejpam-3980	62	20	for	for	ADP
ejpam-3980	62	21	all	all	DET
ejpam-3980	62	22	e	e	PROPN
ejpam-3980	62	23	∈	∈	PROPN
ejpam-3980	62	24	c	c	X
ejpam-3980	62	25	,	,	PUNCT
ejpam-3980	62	26	hc(e	hc(e	NOUN
ejpam-3980	62	27	)	)	PUNCT
ejpam-3980	63	1	=	=	SYM
ejpam-3980	63	2	µehc	µehc	NOUN
ejpam-3980	63	3	=	=	PUNCT
ejpam-3980	63	4	µefa	µefa	NOUN
ejpam-3980	63	5	∨µ	∨µ	VERB
ejpam-3980	63	6	e	e	NOUN
ejpam-3980	63	7	gb	gb	PROPN
ejpam-3980	63	8	.	.	PUNCT
ejpam-3980	64	1	here	here	ADV
ejpam-3980	64	2	we	we	PRON
ejpam-3980	64	3	write	write	VERB
ejpam-3980	64	4	hc	hc	PROPN
ejpam-3980	64	5	=	=	PUNCT
ejpam-3980	64	6	fa∪̃gb	fa∪̃gb	PROPN
ejpam-3980	64	7	.	.	PROPN
ejpam-3980	64	8	definition	definition	NOUN
ejpam-3980	64	9	9	9	NUM
ejpam-3980	64	10	.	.	PUNCT
ejpam-3980	65	1	[	[	X
ejpam-3980	65	2	27	27	NUM
ejpam-3980	65	3	]	]	X
ejpam-3980	65	4	let	let	VERB
ejpam-3980	65	5	fa	fa	NOUN
ejpam-3980	65	6	,	,	PUNCT
ejpam-3980	65	7	gb∈̃(̃x	gb∈̃(̃x	VERB
ejpam-3980	65	8	,	,	PUNCT
ejpam-3980	65	9	e	e	NOUN
ejpam-3980	65	10	)	)	PUNCT
ejpam-3980	65	11	.	.	PUNCT
ejpam-3980	66	1	the	the	DET
ejpam-3980	66	2	intersection	intersection	NOUN
ejpam-3980	66	3	of	of	ADP
ejpam-3980	66	4	fa	fa	INTJ
ejpam-3980	66	5	and	and	CCONJ
ejpam-3980	66	6	gb	gb	NOUN
ejpam-3980	66	7	is	be	AUX
ejpam-3980	66	8	also	also	ADV
ejpam-3980	66	9	a	a	DET
ejpam-3980	66	10	fuzzy	fuzzy	ADJ
ejpam-3980	66	11	soft	soft	ADJ
ejpam-3980	66	12	set	set	NOUN
ejpam-3980	66	13	dc	dc	PROPN
ejpam-3980	66	14	,	,	PUNCT
ejpam-3980	66	15	where	where	SCONJ
ejpam-3980	66	16	c	c	NOUN
ejpam-3980	66	17	=	=	PUNCT
ejpam-3980	66	18	a	a	DET
ejpam-3980	66	19	∩	∩	ADJ
ejpam-3980	66	20	b	b	NOUN
ejpam-3980	66	21	and	and	CCONJ
ejpam-3980	66	22	for	for	ADP
ejpam-3980	66	23	all	all	DET
ejpam-3980	66	24	e	e	PROPN
ejpam-3980	66	25	∈	∈	PROPN
ejpam-3980	66	26	c	c	X
ejpam-3980	66	27	,	,	PUNCT
ejpam-3980	66	28	dc(e	dc(e	NOUN
ejpam-3980	66	29	)	)	PUNCT
ejpam-3980	66	30	=	=	SYM
ejpam-3980	67	1	µedc	µedc	NOUN
ejpam-3980	67	2	=	=	PUNCT
ejpam-3980	67	3	µefa	µefa	PROPN
ejpam-3980	67	4	∧	∧	PROPN
ejpam-3980	67	5	µ	µ	X
ejpam-3980	67	6	e	e	X
ejpam-3980	67	7	gb	gb	NOUN
ejpam-3980	67	8	.	.	PUNCT
ejpam-3980	68	1	here	here	ADV
ejpam-3980	68	2	we	we	PRON
ejpam-3980	68	3	write	write	VERB
ejpam-3980	68	4	dc	dc	PROPN
ejpam-3980	68	5	=	=	PUNCT
ejpam-3980	68	6	fa∩̃gb	fa∩̃gb	NOUN
ejpam-3980	68	7	.	.	PUNCT
ejpam-3980	69	1	definition	definition	NOUN
ejpam-3980	69	2	10	10	NUM
ejpam-3980	69	3	.	.	PUNCT
ejpam-3980	70	1	[	[	X
ejpam-3980	70	2	27	27	NUM
ejpam-3980	70	3	]	]	X
ejpam-3980	70	4	a	a	DET
ejpam-3980	70	5	fuzzy	fuzzy	ADJ
ejpam-3980	70	6	soft	soft	ADJ
ejpam-3980	70	7	topology	topology	NOUN
ejpam-3980	70	8	τ	τ	PROPN
ejpam-3980	70	9	over	over	ADP
ejpam-3980	70	10	(	(	PUNCT
ejpam-3980	70	11	x	x	X
ejpam-3980	70	12	,	,	PUNCT
ejpam-3980	70	13	e	e	NOUN
ejpam-3980	70	14	)	)	PUNCT
ejpam-3980	70	15	is	be	AUX
ejpam-3980	70	16	a	a	DET
ejpam-3980	70	17	family	family	NOUN
ejpam-3980	70	18	of	of	ADP
ejpam-3980	70	19	fuzzy	fuzzy	ADJ
ejpam-3980	70	20	soft	soft	ADJ
ejpam-3980	70	21	sets	set	NOUN
ejpam-3980	70	22	over	over	ADP
ejpam-3980	70	23	(	(	PUNCT
ejpam-3980	70	24	x	x	NOUN
ejpam-3980	70	25	,	,	PUNCT
ejpam-3980	70	26	e	e	NOUN
ejpam-3980	70	27	)	)	PUNCT
ejpam-3980	70	28	satisfying	satisfy	VERB
ejpam-3980	70	29	the	the	DET
ejpam-3980	70	30	following	follow	VERB
ejpam-3980	70	31	properties	property	NOUN
ejpam-3980	70	32	:	:	PUNCT
ejpam-3980	70	33	(	(	PUNCT
ejpam-3980	70	34	i	i	NOUN
ejpam-3980	70	35	)	)	PUNCT
ejpam-3980	71	1	0̃e	0̃e	INTJ
ejpam-3980	71	2	,	,	PUNCT
ejpam-3980	71	3	1̃e	1̃e	NUM
ejpam-3980	71	4	∈	∈	NOUN
ejpam-3980	71	5	τ	τ	X
ejpam-3980	71	6	,	,	PUNCT
ejpam-3980	71	7	(	(	PUNCT
ejpam-3980	71	8	ii	ii	NOUN
ejpam-3980	71	9	)	)	PUNCT
ejpam-3980	71	10	if	if	SCONJ
ejpam-3980	71	11	fa	fa	X
ejpam-3980	71	12	,	,	PUNCT
ejpam-3980	71	13	gb	gb	ADP
ejpam-3980	71	14	∈	∈	PROPN
ejpam-3980	71	15	τ	τ	NOUN
ejpam-3980	71	16	,	,	PUNCT
ejpam-3980	71	17	then	then	ADV
ejpam-3980	71	18	fa∩̃gb	fa∩̃gb	NOUN
ejpam-3980	71	19	∈	∈	PROPN
ejpam-3980	71	20	τ	τ	X
ejpam-3980	71	21	,	,	PUNCT
ejpam-3980	71	22	(	(	PUNCT
ejpam-3980	71	23	iii	iii	NOUN
ejpam-3980	71	24	)	)	PUNCT
ejpam-3980	71	25	if	if	SCONJ
ejpam-3980	71	26	faα	faα	NOUN
ejpam-3980	71	27	∈τ	∈τ	ADV
ejpam-3980	71	28	for	for	ADP
ejpam-3980	71	29	all	all	PRON
ejpam-3980	71	30	α	α	DET
ejpam-3980	71	31	∈	∈	NOUN
ejpam-3980	71	32	∆	∆	X
ejpam-3980	71	33	an	an	DET
ejpam-3980	71	34	index	index	NOUN
ejpam-3980	71	35	set	set	NOUN
ejpam-3980	71	36	,	,	PUNCT
ejpam-3980	71	37	then	then	ADV
ejpam-3980	71	38	⋃̃	⋃̃	PROPN
ejpam-3980	71	39	α∈∆faα	α∈∆faα	NUM
ejpam-3980	71	40	∈	∈	PROPN
ejpam-3980	71	41	τ	τ	PROPN
ejpam-3980	71	42	.	.	PUNCT
ejpam-3980	71	43	definition	definition	NOUN
ejpam-3980	71	44	11	11	NUM
ejpam-3980	71	45	.	.	PUNCT
ejpam-3980	72	1	[	[	X
ejpam-3980	72	2	17	17	NUM
ejpam-3980	72	3	]	]	X
ejpam-3980	72	4	if	if	SCONJ
ejpam-3980	72	5	τ	τ	PROPN
ejpam-3980	72	6	is	be	AUX
ejpam-3980	72	7	a	a	DET
ejpam-3980	72	8	fuzzy	fuzzy	ADJ
ejpam-3980	72	9	soft	soft	ADJ
ejpam-3980	72	10	topology	topology	NOUN
ejpam-3980	72	11	on	on	ADP
ejpam-3980	72	12	(	(	PUNCT
ejpam-3980	72	13	x	x	X
ejpam-3980	72	14	,	,	PUNCT
ejpam-3980	72	15	e	e	NOUN
ejpam-3980	72	16	)	)	PUNCT
ejpam-3980	72	17	,	,	PUNCT
ejpam-3980	72	18	then	then	ADV
ejpam-3980	72	19	the	the	DET
ejpam-3980	72	20	triple	triple	ADJ
ejpam-3980	72	21	(	(	PUNCT
ejpam-3980	72	22	x	x	X
ejpam-3980	72	23	,	,	PUNCT
ejpam-3980	72	24	e	e	NOUN
ejpam-3980	72	25	,	,	PUNCT
ejpam-3980	72	26	τ	τ	X
ejpam-3980	72	27	)	)	PUNCT
ejpam-3980	72	28	is	be	AUX
ejpam-3980	72	29	said	say	VERB
ejpam-3980	72	30	to	to	PART
ejpam-3980	72	31	be	be	AUX
ejpam-3980	72	32	a	a	DET
ejpam-3980	72	33	fuzzy	fuzzy	ADJ
ejpam-3980	72	34	soft	soft	ADJ
ejpam-3980	72	35	topological	topological	ADJ
ejpam-3980	72	36	space	space	NOUN
ejpam-3980	72	37	.	.	PUNCT
ejpam-3980	73	1	also	also	ADV
ejpam-3980	73	2	each	each	DET
ejpam-3980	73	3	member	member	NOUN
ejpam-3980	73	4	of	of	ADP
ejpam-3980	73	5	τ	τ	PROPN
ejpam-3980	73	6	is	be	AUX
ejpam-3980	73	7	called	call	VERB
ejpam-3980	73	8	a	a	DET
ejpam-3980	73	9	fuzzy	fuzzy	ADJ
ejpam-3980	73	10	soft	soft	ADJ
ejpam-3980	73	11	open	open	ADJ
ejpam-3980	73	12	set	set	VERB
ejpam-3980	73	13	in	in	ADP
ejpam-3980	73	14	(	(	PUNCT
ejpam-3980	73	15	x	x	X
ejpam-3980	73	16	,	,	PUNCT
ejpam-3980	73	17	e	e	NOUN
ejpam-3980	73	18	,	,	PUNCT
ejpam-3980	73	19	τ	τ	PROPN
ejpam-3980	73	20	)	)	PUNCT
ejpam-3980	73	21	.	.	PUNCT
ejpam-3980	74	1	the	the	DET
ejpam-3980	74	2	complement	complement	NOUN
ejpam-3980	74	3	of	of	ADP
ejpam-3980	74	4	a	a	DET
ejpam-3980	74	5	fuzzy	fuzzy	ADJ
ejpam-3980	74	6	soft	soft	ADJ
ejpam-3980	74	7	open	open	ADJ
ejpam-3980	74	8	set	set	NOUN
ejpam-3980	74	9	is	be	AUX
ejpam-3980	74	10	a	a	DET
ejpam-3980	74	11	fuzzy	fuzzy	ADJ
ejpam-3980	74	12	soft	soft	ADJ
ejpam-3980	74	13	closed	closed	ADJ
ejpam-3980	74	14	set	set	NOUN
ejpam-3980	74	15	.	.	PUNCT
ejpam-3980	75	1	definition	definition	NOUN
ejpam-3980	75	2	12	12	NUM
ejpam-3980	75	3	.	.	PUNCT
ejpam-3980	76	1	[	[	X
ejpam-3980	76	2	17	17	NUM
ejpam-3980	76	3	]	]	X
ejpam-3980	76	4	let	let	VERB
ejpam-3980	76	5	(	(	PUNCT
ejpam-3980	76	6	x	x	X
ejpam-3980	76	7	,	,	PUNCT
ejpam-3980	76	8	e	e	NOUN
ejpam-3980	76	9	,	,	PUNCT
ejpam-3980	76	10	τ1	τ1	NOUN
ejpam-3980	76	11	)	)	PUNCT
ejpam-3980	76	12	and	and	CCONJ
ejpam-3980	76	13	(	(	PUNCT
ejpam-3980	76	14	x	x	X
ejpam-3980	76	15	,	,	PUNCT
ejpam-3980	76	16	e	e	NOUN
ejpam-3980	76	17	,	,	PUNCT
ejpam-3980	76	18	τ2	τ2	NOUN
ejpam-3980	76	19	)	)	PUNCT
ejpam-3980	76	20	be	be	VERB
ejpam-3980	76	21	two	two	NUM
ejpam-3980	76	22	different	different	ADJ
ejpam-3980	76	23	fuzzy	fuzzy	ADJ
ejpam-3980	76	24	soft	soft	ADJ
ejpam-3980	76	25	topologies	topology	NOUN
ejpam-3980	76	26	on	on	ADP
ejpam-3980	76	27	(	(	PUNCT
ejpam-3980	76	28	x	x	X
ejpam-3980	76	29	,	,	PUNCT
ejpam-3980	76	30	e	e	NOUN
ejpam-3980	76	31	)	)	PUNCT
ejpam-3980	76	32	.	.	PUNCT
ejpam-3980	77	1	then	then	ADV
ejpam-3980	77	2	(	(	PUNCT
ejpam-3980	77	3	x	x	X
ejpam-3980	77	4	,	,	PUNCT
ejpam-3980	77	5	e	e	NOUN
ejpam-3980	77	6	,	,	PUNCT
ejpam-3980	77	7	τ1	τ1	NOUN
ejpam-3980	77	8	,	,	PUNCT
ejpam-3980	77	9	τ2	τ2	NOUN
ejpam-3980	77	10	)	)	PUNCT
ejpam-3980	77	11	is	be	AUX
ejpam-3980	77	12	called	call	VERB
ejpam-3980	77	13	a	a	DET
ejpam-3980	77	14	fuzzy	fuzzy	ADJ
ejpam-3980	77	15	soft	soft	ADJ
ejpam-3980	77	16	bitopological	bitopological	ADJ
ejpam-3980	77	17	space	space	NOUN
ejpam-3980	77	18	on	on	ADP
ejpam-3980	77	19	which	which	PRON
ejpam-3980	77	20	no	no	DET
ejpam-3980	77	21	seperation	seperation	NOUN
ejpam-3980	77	22	axioms	axiom	NOUN
ejpam-3980	77	23	are	be	AUX
ejpam-3980	77	24	assumed	assume	VERB
ejpam-3980	77	25	unless	unless	SCONJ
ejpam-3980	77	26	explicitly	explicitly	ADV
ejpam-3980	77	27	stated	state	VERB
ejpam-3980	77	28	.	.	PUNCT
ejpam-3980	78	1	the	the	DET
ejpam-3980	78	2	members	member	NOUN
ejpam-3980	78	3	of	of	ADP
ejpam-3980	78	4	τi(i	τi(i	X
ejpam-3980	78	5	=	=	SYM
ejpam-3980	78	6	1	1	NUM
ejpam-3980	78	7	,	,	PUNCT
ejpam-3980	78	8	2	2	NUM
ejpam-3980	78	9	)	)	PUNCT
ejpam-3980	78	10	are	be	AUX
ejpam-3980	78	11	called	call	VERB
ejpam-3980	78	12	τi(i	τi(i	PUNCT
ejpam-3980	79	1	=	=	SYM
ejpam-3980	79	2	1	1	NUM
ejpam-3980	79	3	,	,	PUNCT
ejpam-3980	79	4	2)-fuzzy	2)-fuzzy	NUM
ejpam-3980	79	5	soft	soft	ADJ
ejpam-3980	79	6	open	open	ADJ
ejpam-3980	79	7	sets	set	NOUN
ejpam-3980	79	8	and	and	CCONJ
ejpam-3980	79	9	the	the	DET
ejpam-3980	79	10	complement	complement	NOUN
ejpam-3980	79	11	of	of	ADP
ejpam-3980	79	12	τi(i	τi(i	X
ejpam-3980	79	13	=	=	SYM
ejpam-3980	79	14	1	1	NUM
ejpam-3980	79	15	,	,	PUNCT
ejpam-3980	79	16	2)-fuzzy	2)-fuzzy	NUM
ejpam-3980	79	17	soft	soft	ADJ
ejpam-3980	79	18	open	open	ADJ
ejpam-3980	79	19	sets	set	NOUN
ejpam-3980	79	20	are	be	AUX
ejpam-3980	79	21	called	call	VERB
ejpam-3980	79	22	τi(i	τi(i	PUNCT
ejpam-3980	80	1	=	=	SYM
ejpam-3980	80	2	1	1	NUM
ejpam-3980	80	3	,	,	PUNCT
ejpam-3980	80	4	2)-fuzzy	2)-fuzzy	NUM
ejpam-3980	80	5	soft	soft	ADJ
ejpam-3980	80	6	closed	closed	ADJ
ejpam-3980	80	7	sets	set	NOUN
ejpam-3980	80	8	.	.	PUNCT
ejpam-3980	81	1	a.	a.	PROPN
ejpam-3980	81	2	f.	f.	PROPN
ejpam-3980	81	3	sayed	sayed	PROPN
ejpam-3980	81	4	/	/	SYM
ejpam-3980	81	5	eur	eur	PROPN
ejpam-3980	81	6	.	.	PUNCT
ejpam-3980	82	1	j.	j.	PROPN
ejpam-3980	82	2	pure	pure	PROPN
ejpam-3980	82	3	appl	appl	PROPN
ejpam-3980	82	4	.	.	PROPN
ejpam-3980	82	5	math	math	PROPN
ejpam-3980	82	6	,	,	PUNCT
ejpam-3980	82	7	14	14	NUM
ejpam-3980	82	8	(	(	PUNCT
ejpam-3980	82	9	3	3	NUM
ejpam-3980	82	10	)	)	PUNCT
ejpam-3980	82	11	(	(	PUNCT
ejpam-3980	82	12	2021	2021	NUM
ejpam-3980	82	13	)	)	PUNCT
ejpam-3980	82	14	,	,	PUNCT
ejpam-3980	82	15	760	760	NUM
ejpam-3980	82	16	-	-	SYM
ejpam-3980	82	17	772	772	NUM
ejpam-3980	82	18	763	763	NUM
ejpam-3980	82	19	definition	definition	NOUN
ejpam-3980	82	20	13	13	NUM
ejpam-3980	82	21	.	.	PUNCT
ejpam-3980	83	1	[	[	X
ejpam-3980	83	2	17	17	NUM
ejpam-3980	83	3	]	]	PUNCT
ejpam-3980	83	4	a	a	DET
ejpam-3980	83	5	fuzzy	fuzzy	ADJ
ejpam-3980	83	6	soft	soft	ADJ
ejpam-3980	83	7	set	set	NOUN
ejpam-3980	83	8	fe∈̃(̃x	fe∈̃(̃x	NOUN
ejpam-3980	83	9	,	,	PUNCT
ejpam-3980	83	10	e	e	NOUN
ejpam-3980	83	11	)	)	PUNCT
ejpam-3980	83	12	is	be	AUX
ejpam-3980	83	13	called	call	VERB
ejpam-3980	83	14	τ1τ2fuzzy	τ1τ2fuzzy	PUNCT
ejpam-3980	83	15	soft	soft	ADJ
ejpam-3980	83	16	open	open	ADJ
ejpam-3980	83	17	set	set	VERB
ejpam-3980	83	18	if	if	SCONJ
ejpam-3980	83	19	fe	fe	X
ejpam-3980	83	20	=	=	NOUN
ejpam-3980	83	21	ge∪̃he	ge∪̃he	ADJ
ejpam-3980	83	22	such	such	ADJ
ejpam-3980	83	23	that	that	SCONJ
ejpam-3980	83	24	ge∈̃τ1	ge∈̃τ1	PROPN
ejpam-3980	83	25	and	and	CCONJ
ejpam-3980	83	26	he∈̃τ2	he∈̃τ2	ADJ
ejpam-3980	83	27	.	.	PUNCT
ejpam-3980	84	1	the	the	DET
ejpam-3980	84	2	complement	complement	NOUN
ejpam-3980	84	3	of	of	ADP
ejpam-3980	84	4	τ1τ2fuzzy	τ1τ2fuzzy	PUNCT
ejpam-3980	84	5	soft	soft	ADJ
ejpam-3980	84	6	open	open	ADJ
ejpam-3980	84	7	set	set	NOUN
ejpam-3980	84	8	is	be	AUX
ejpam-3980	84	9	called	call	VERB
ejpam-3980	84	10	τ1τ2fuzzy	τ1τ2fuzzy	PUNCT
ejpam-3980	84	11	soft	soft	ADJ
ejpam-3980	84	12	closed	closed	ADJ
ejpam-3980	84	13	set	set	NOUN
ejpam-3980	84	14	.	.	PUNCT
ejpam-3980	85	1	the	the	DET
ejpam-3980	85	2	family	family	NOUN
ejpam-3980	85	3	of	of	ADP
ejpam-3980	85	4	all	all	DET
ejpam-3980	85	5	τ1τ2fuzzy	τ1τ2fuzzy	ADV
ejpam-3980	85	6	soft	soft	ADJ
ejpam-3980	85	7	open	open	ADJ
ejpam-3980	85	8	(	(	PUNCT
ejpam-3980	85	9	closed	closed	ADJ
ejpam-3980	85	10	)	)	PUNCT
ejpam-3980	85	11	sets	set	NOUN
ejpam-3980	85	12	in	in	ADP
ejpam-3980	85	13	(	(	PUNCT
ejpam-3980	85	14	x	x	NOUN
ejpam-3980	85	15	,	,	PUNCT
ejpam-3980	85	16	e	e	NOUN
ejpam-3980	85	17	,	,	PUNCT
ejpam-3980	85	18	τ1	τ1	NOUN
ejpam-3980	85	19	,	,	PUNCT
ejpam-3980	85	20	τ2	τ2	NOUN
ejpam-3980	85	21	)	)	PUNCT
ejpam-3980	85	22	is	be	AUX
ejpam-3980	85	23	denoted	denote	VERB
ejpam-3980	85	24	by	by	ADP
ejpam-3980	85	25	τ1τ2fso(x	τ1τ2fso(x	NUM
ejpam-3980	85	26	,	,	PUNCT
ejpam-3980	85	27	τ1	τ1	NOUN
ejpam-3980	85	28	,	,	PUNCT
ejpam-3980	85	29	τ2)e	τ2)e	NOUN
ejpam-3980	85	30	(	(	PUNCT
ejpam-3980	85	31	τ1τ2fsc(x	τ1τ2fsc(x	NOUN
ejpam-3980	85	32	,	,	PUNCT
ejpam-3980	85	33	τ1	τ1	NOUN
ejpam-3980	85	34	,	,	PUNCT
ejpam-3980	85	35	τ2)e	τ2)e	NOUN
ejpam-3980	85	36	)	)	PUNCT
ejpam-3980	85	37	,	,	PUNCT
ejpam-3980	85	38	respectively	respectively	ADV
ejpam-3980	85	39	.	.	PUNCT
ejpam-3980	86	1	definition	definition	NOUN
ejpam-3980	86	2	14	14	NUM
ejpam-3980	86	3	.	.	PUNCT
ejpam-3980	87	1	[	[	X
ejpam-3980	87	2	17	17	NUM
ejpam-3980	87	3	]	]	X
ejpam-3980	87	4	let	let	VERB
ejpam-3980	87	5	(	(	PUNCT
ejpam-3980	87	6	x	x	X
ejpam-3980	87	7	,	,	PUNCT
ejpam-3980	87	8	e	e	NOUN
ejpam-3980	87	9	,	,	PUNCT
ejpam-3980	87	10	τ1	τ1	NOUN
ejpam-3980	87	11	,	,	PUNCT
ejpam-3980	87	12	τ2	τ2	PROPN
ejpam-3980	87	13	)	)	PUNCT
ejpam-3980	87	14	be	be	VERB
ejpam-3980	87	15	a	a	DET
ejpam-3980	87	16	fuzzy	fuzzy	ADJ
ejpam-3980	87	17	soft	soft	ADJ
ejpam-3980	87	18	bitopological	bitopological	ADJ
ejpam-3980	87	19	space	space	NOUN
ejpam-3980	87	20	and	and	CCONJ
ejpam-3980	87	21	fe∈̃(̃x	fe∈̃(̃x	NOUN
ejpam-3980	87	22	,	,	PUNCT
ejpam-3980	87	23	e	e	NOUN
ejpam-3980	87	24	)	)	PUNCT
ejpam-3980	87	25	.	.	PUNCT
ejpam-3980	88	1	then	then	ADV
ejpam-3980	88	2	the	the	DET
ejpam-3980	88	3	τ1τ2fuzzy	τ1τ2fuzzy	ADV
ejpam-3980	88	4	soft	soft	ADJ
ejpam-3980	88	5	closure	closure	NOUN
ejpam-3980	88	6	of	of	ADP
ejpam-3980	88	7	fe	fe	NOUN
ejpam-3980	88	8	,	,	PUNCT
ejpam-3980	88	9	denoted	denote	VERB
ejpam-3980	88	10	by	by	ADP
ejpam-3980	88	11	τ1τ2cl(fe	τ1τ2cl(fe	NOUN
ejpam-3980	88	12	)	)	PUNCT
ejpam-3980	88	13	,	,	PUNCT
ejpam-3980	88	14	is	be	AUX
ejpam-3980	88	15	the	the	DET
ejpam-3980	88	16	intersection	intersection	NOUN
ejpam-3980	88	17	of	of	ADP
ejpam-3980	88	18	all	all	DET
ejpam-3980	88	19	τ1τ2fuzzy	τ1τ2fuzzy	ADV
ejpam-3980	88	20	soft	soft	ADJ
ejpam-3980	88	21	closed	closed	ADJ
ejpam-3980	88	22	supersets	superset	NOUN
ejpam-3980	88	23	of	of	ADP
ejpam-3980	88	24	fe	fe	NOUN
ejpam-3980	88	25	.	.	PUNCT
ejpam-3980	88	26	clearly	clearly	ADV
ejpam-3980	88	27	,	,	PUNCT
ejpam-3980	88	28	τ1τ2cl(fe	τ1τ2cl(fe	NOUN
ejpam-3980	88	29	)	)	PUNCT
ejpam-3980	88	30	is	be	AUX
ejpam-3980	88	31	the	the	PRON
ejpam-3980	88	32	smallest	small	ADJ
ejpam-3980	88	33	τ1τ2fuzzy	τ1τ2fuzzy	PUNCT
ejpam-3980	88	34	soft	soft	ADJ
ejpam-3980	88	35	closed	closed	ADJ
ejpam-3980	88	36	set	set	VERB
ejpam-3980	88	37	over	over	ADP
ejpam-3980	88	38	(	(	PUNCT
ejpam-3980	88	39	x	x	X
ejpam-3980	88	40	,	,	PUNCT
ejpam-3980	88	41	e	e	NOUN
ejpam-3980	88	42	)	)	PUNCT
ejpam-3980	88	43	which	which	PRON
ejpam-3980	88	44	contains	contain	VERB
ejpam-3980	88	45	fe	fe	PROPN
ejpam-3980	88	46	.	.	PROPN
ejpam-3980	88	47	definition	definition	NOUN
ejpam-3980	88	48	15	15	NUM
ejpam-3980	88	49	.	.	PUNCT
ejpam-3980	89	1	let	let	AUX
ejpam-3980	89	2	(	(	PUNCT
ejpam-3980	89	3	x	x	X
ejpam-3980	89	4	,	,	PUNCT
ejpam-3980	89	5	e	e	NOUN
ejpam-3980	89	6	,	,	PUNCT
ejpam-3980	89	7	τ1	τ1	NOUN
ejpam-3980	89	8	,	,	PUNCT
ejpam-3980	89	9	τ2	τ2	PROPN
ejpam-3980	89	10	)	)	PUNCT
ejpam-3980	89	11	be	be	VERB
ejpam-3980	89	12	a	a	DET
ejpam-3980	89	13	fuzzy	fuzzy	ADJ
ejpam-3980	89	14	soft	soft	ADJ
ejpam-3980	89	15	bitopological	bitopological	ADJ
ejpam-3980	89	16	space	space	NOUN
ejpam-3980	89	17	and	and	CCONJ
ejpam-3980	89	18	fe∈̃(̃x	fe∈̃(̃x	NOUN
ejpam-3980	89	19	,	,	PUNCT
ejpam-3980	89	20	e	e	NOUN
ejpam-3980	89	21	)	)	PUNCT
ejpam-3980	89	22	.	.	PUNCT
ejpam-3980	90	1	then	then	ADV
ejpam-3980	90	2	fe	fe	PROPN
ejpam-3980	90	3	is	be	AUX
ejpam-3980	90	4	called	call	VERB
ejpam-3980	90	5	(	(	PUNCT
ejpam-3980	90	6	1	1	NUM
ejpam-3980	90	7	,	,	PUNCT
ejpam-3980	90	8	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	90	9	soft	soft	ADJ
ejpam-3980	90	10	b	b	NOUN
ejpam-3980	90	11	-	-	PUNCT
ejpam-3980	90	12	open	open	ADJ
ejpam-3980	90	13	set	set	NOUN
ejpam-3980	90	14	(	(	PUNCT
ejpam-3980	90	15	briefly	briefly	ADV
ejpam-3980	90	16	,	,	PUNCT
ejpam-3980	90	17	(	(	PUNCT
ejpam-3980	90	18	1	1	NUM
ejpam-3980	90	19	,	,	PUNCT
ejpam-3980	90	20	2)∗-fsb	2)∗-fsb	NOUN
ejpam-3980	90	21	-	-	ADJ
ejpam-3980	90	22	open	open	ADJ
ejpam-3980	90	23	)	)	PUNCT
ejpam-3980	91	1	if	if	SCONJ
ejpam-3980	91	2	fe⊆̃τ1τ2int	fe⊆̃τ1τ2int	PROPN
ejpam-3980	91	3	(	(	PUNCT
ejpam-3980	91	4	τ1τ2cl(fe	τ1τ2cl(fe	NOUN
ejpam-3980	91	5	)	)	PUNCT
ejpam-3980	91	6	)	)	PUNCT
ejpam-3980	91	7	∪̃τ1τ2cl	∪̃τ1τ2cl	PROPN
ejpam-3980	91	8	(	(	PUNCT
ejpam-3980	91	9	τ1τ2int(fe	τ1τ2int(fe	PUNCT
ejpam-3980	91	10	)	)	PUNCT
ejpam-3980	91	11	)	)	PUNCT
ejpam-3980	92	1	.	.	PUNCT
ejpam-3980	93	1	definition	definition	NOUN
ejpam-3980	93	2	16	16	NUM
ejpam-3980	93	3	.	.	PUNCT
ejpam-3980	94	1	[	[	X
ejpam-3980	94	2	30	30	NUM
ejpam-3980	94	3	]	]	X
ejpam-3980	94	4	let	let	VERB
ejpam-3980	94	5	(	(	PUNCT
ejpam-3980	94	6	x	x	X
ejpam-3980	94	7	,	,	PUNCT
ejpam-3980	94	8	e	e	NOUN
ejpam-3980	94	9	,	,	PUNCT
ejpam-3980	94	10	τ1	τ1	NOUN
ejpam-3980	94	11	,	,	PUNCT
ejpam-3980	94	12	τ2	τ2	PROPN
ejpam-3980	94	13	)	)	PUNCT
ejpam-3980	94	14	be	be	VERB
ejpam-3980	94	15	a	a	DET
ejpam-3980	94	16	fuzzy	fuzzy	ADJ
ejpam-3980	94	17	soft	soft	ADJ
ejpam-3980	94	18	bitopological	bitopological	ADJ
ejpam-3980	94	19	space	space	NOUN
ejpam-3980	94	20	and	and	CCONJ
ejpam-3980	94	21	fe∈̃(̃x	fe∈̃(̃x	NOUN
ejpam-3980	94	22	,	,	PUNCT
ejpam-3980	94	23	e	e	NOUN
ejpam-3980	94	24	)	)	PUNCT
ejpam-3980	94	25	.	.	PUNCT
ejpam-3980	95	1	(	(	PUNCT
ejpam-3980	95	2	i	i	NOUN
ejpam-3980	95	3	)	)	PUNCT
ejpam-3980	95	4	(	(	PUNCT
ejpam-3980	95	5	1	1	NUM
ejpam-3980	95	6	,	,	PUNCT
ejpam-3980	95	7	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	95	8	soft	soft	ADJ
ejpam-3980	95	9	b	b	NOUN
ejpam-3980	95	10	-	-	PUNCT
ejpam-3980	95	11	closure	closure	NOUN
ejpam-3980	95	12	(	(	PUNCT
ejpam-3980	95	13	briefly	briefly	ADV
ejpam-3980	95	14	(	(	PUNCT
ejpam-3980	95	15	1	1	NUM
ejpam-3980	95	16	,	,	PUNCT
ejpam-3980	95	17	2)∗-fsbcl(fe	2)∗-fsbcl(fe	NUM
ejpam-3980	95	18	)	)	PUNCT
ejpam-3980	95	19	)	)	PUNCT
ejpam-3980	95	20	of	of	ADP
ejpam-3980	95	21	a	a	DET
ejpam-3980	95	22	set	set	VERB
ejpam-3980	95	23	fe	fe	NOUN
ejpam-3980	95	24	in	in	ADP
ejpam-3980	95	25	(	(	PUNCT
ejpam-3980	95	26	x	x	X
ejpam-3980	95	27	,	,	PUNCT
ejpam-3980	95	28	e	e	NOUN
ejpam-3980	95	29	,	,	PUNCT
ejpam-3980	95	30	τ1	τ1	NOUN
ejpam-3980	95	31	,	,	PUNCT
ejpam-3980	95	32	τ2	τ2	NOUN
ejpam-3980	95	33	)	)	PUNCT
ejpam-3980	95	34	defined	define	VERB
ejpam-3980	95	35	by	by	ADP
ejpam-3980	95	36	(	(	PUNCT
ejpam-3980	95	37	1	1	NUM
ejpam-3980	95	38	,	,	PUNCT
ejpam-3980	95	39	2)∗-fsbcl(fe	2)∗-fsbcl(fe	NUM
ejpam-3980	95	40	)	)	PUNCT
ejpam-3980	95	41	=	=	NOUN
ejpam-3980	96	1	∩̃{ge⊇̃fe	∩̃{ge⊇̃fe	NOUN
ejpam-3980	96	2	:	:	PUNCT
ejpam-3980	96	3	ge	ge	PROPN
ejpam-3980	96	4	is	be	AUX
ejpam-3980	96	5	a	a	DET
ejpam-3980	96	6	(	(	PUNCT
ejpam-3980	96	7	1	1	NUM
ejpam-3980	96	8	,	,	PUNCT
ejpam-3980	96	9	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	96	10	soft	soft	ADJ
ejpam-3980	96	11	b	b	NOUN
ejpam-3980	96	12	-	-	PUNCT
ejpam-3980	96	13	closed	closed	ADJ
ejpam-3980	96	14	set	set	NOUN
ejpam-3980	96	15	in	in	ADP
ejpam-3980	96	16	(	(	PUNCT
ejpam-3980	96	17	x	x	NOUN
ejpam-3980	96	18	,	,	PUNCT
ejpam-3980	96	19	e	e	NOUN
ejpam-3980	96	20	,	,	PUNCT
ejpam-3980	96	21	τ1	τ1	NOUN
ejpam-3980	96	22	,	,	PUNCT
ejpam-3980	96	23	τ2	τ2	NOUN
ejpam-3980	96	24	)	)	PUNCT
ejpam-3980	96	25	}	}	PUNCT
ejpam-3980	96	26	.	.	PUNCT
ejpam-3980	97	1	(	(	PUNCT
ejpam-3980	97	2	ii	ii	NOUN
ejpam-3980	97	3	)	)	PUNCT
ejpam-3980	97	4	(	(	PUNCT
ejpam-3980	97	5	1	1	NUM
ejpam-3980	97	6	,	,	PUNCT
ejpam-3980	97	7	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	97	8	soft	soft	ADJ
ejpam-3980	97	9	b	b	NOUN
ejpam-3980	97	10	-	-	ADJ
ejpam-3980	97	11	interior	interior	ADJ
ejpam-3980	97	12	(	(	PUNCT
ejpam-3980	97	13	briefly	briefly	ADV
ejpam-3980	97	14	(	(	PUNCT
ejpam-3980	97	15	1	1	NUM
ejpam-3980	97	16	,	,	PUNCT
ejpam-3980	97	17	2)∗-fsbint(fe	2)∗-fsbint(fe	NUM
ejpam-3980	97	18	)	)	PUNCT
ejpam-3980	97	19	)	)	PUNCT
ejpam-3980	97	20	of	of	ADP
ejpam-3980	97	21	a	a	DET
ejpam-3980	97	22	set	set	VERB
ejpam-3980	97	23	fe	fe	NOUN
ejpam-3980	97	24	in	in	ADP
ejpam-3980	97	25	(	(	PUNCT
ejpam-3980	97	26	x	x	X
ejpam-3980	97	27	,	,	PUNCT
ejpam-3980	97	28	e	e	NOUN
ejpam-3980	97	29	,	,	PUNCT
ejpam-3980	97	30	τ1	τ1	NOUN
ejpam-3980	97	31	,	,	PUNCT
ejpam-3980	97	32	τ2	τ2	NOUN
ejpam-3980	97	33	)	)	PUNCT
ejpam-3980	97	34	defined	define	VERB
ejpam-3980	97	35	by	by	ADP
ejpam-3980	97	36	(	(	PUNCT
ejpam-3980	97	37	1	1	NUM
ejpam-3980	97	38	,	,	PUNCT
ejpam-3980	97	39	2)∗-fsbint(fe	2)∗-fsbint(fe	NUM
ejpam-3980	97	40	)	)	PUNCT
ejpam-3980	97	41	=	=	SYM
ejpam-3980	98	1	∪̃{ge⊆̃fe	∪̃{ge⊆̃fe	NOUN
ejpam-3980	98	2	:	:	PUNCT
ejpam-3980	98	3	ge	ge	PROPN
ejpam-3980	98	4	is	be	AUX
ejpam-3980	98	5	a	a	DET
ejpam-3980	98	6	(	(	PUNCT
ejpam-3980	98	7	1	1	NUM
ejpam-3980	98	8	,	,	PUNCT
ejpam-3980	98	9	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	98	10	soft	soft	ADJ
ejpam-3980	98	11	b	b	NOUN
ejpam-3980	98	12	-	-	PUNCT
ejpam-3980	98	13	open	open	ADJ
ejpam-3980	98	14	set	set	NOUN
ejpam-3980	98	15	in	in	ADP
ejpam-3980	98	16	(	(	PUNCT
ejpam-3980	98	17	x	x	NOUN
ejpam-3980	98	18	,	,	PUNCT
ejpam-3980	98	19	e	e	NOUN
ejpam-3980	98	20	,	,	PUNCT
ejpam-3980	98	21	τ1	τ1	NOUN
ejpam-3980	98	22	,	,	PUNCT
ejpam-3980	98	23	τ2	τ2	NOUN
ejpam-3980	98	24	)	)	PUNCT
ejpam-3980	98	25	}	}	PUNCT
ejpam-3980	98	26	.	.	PUNCT
ejpam-3980	99	1	(	(	PUNCT
ejpam-3980	99	2	1	1	NUM
ejpam-3980	99	3	,	,	PUNCT
ejpam-3980	99	4	2)∗-fsbcl(fe	2)∗-fsbcl(fe	NUM
ejpam-3980	99	5	)	)	PUNCT
ejpam-3980	99	6	is	be	AUX
ejpam-3980	99	7	the	the	DET
ejpam-3980	99	8	smallest	small	ADJ
ejpam-3980	99	9	(	(	PUNCT
ejpam-3980	99	10	1	1	NUM
ejpam-3980	99	11	,	,	PUNCT
ejpam-3980	99	12	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	99	13	soft	soft	ADJ
ejpam-3980	99	14	b	b	NOUN
ejpam-3980	99	15	-	-	PUNCT
ejpam-3980	99	16	closed	closed	ADJ
ejpam-3980	99	17	set	set	NOUN
ejpam-3980	99	18	in	in	ADP
ejpam-3980	99	19	(	(	PUNCT
ejpam-3980	99	20	x	x	NOUN
ejpam-3980	99	21	,	,	PUNCT
ejpam-3980	99	22	e	e	NOUN
ejpam-3980	99	23	,	,	PUNCT
ejpam-3980	99	24	τ1	τ1	NOUN
ejpam-3980	99	25	,	,	PUNCT
ejpam-3980	99	26	τ2	τ2	PROPN
ejpam-3980	99	27	)	)	PUNCT
ejpam-3980	99	28	which	which	PRON
ejpam-3980	99	29	contains	contain	VERB
ejpam-3980	99	30	fe	fe	NOUN
ejpam-3980	99	31	and	and	CCONJ
ejpam-3980	99	32	(	(	PUNCT
ejpam-3980	99	33	1	1	NUM
ejpam-3980	99	34	,	,	PUNCT
ejpam-3980	99	35	2)∗-fsbcl(fe	2)∗-fsbcl(fe	NUM
ejpam-3980	99	36	)	)	PUNCT
ejpam-3980	99	37	is	be	AUX
ejpam-3980	99	38	the	the	DET
ejpam-3980	99	39	largest	large	ADJ
ejpam-3980	99	40	(	(	PUNCT
ejpam-3980	99	41	1	1	NUM
ejpam-3980	99	42	,	,	PUNCT
ejpam-3980	99	43	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	99	44	soft	soft	ADJ
ejpam-3980	99	45	b	b	NOUN
ejpam-3980	99	46	-	-	PUNCT
ejpam-3980	99	47	closed	closed	ADJ
ejpam-3980	99	48	set	set	NOUN
ejpam-3980	99	49	in	in	ADP
ejpam-3980	99	50	(	(	PUNCT
ejpam-3980	99	51	x	x	NOUN
ejpam-3980	99	52	,	,	PUNCT
ejpam-3980	99	53	e	e	NOUN
ejpam-3980	99	54	,	,	PUNCT
ejpam-3980	99	55	τ1	τ1	NOUN
ejpam-3980	99	56	,	,	PUNCT
ejpam-3980	99	57	τ2	τ2	PROPN
ejpam-3980	99	58	)	)	PUNCT
ejpam-3980	99	59	which	which	PRON
ejpam-3980	99	60	is	be	AUX
ejpam-3980	99	61	contained	contain	VERB
ejpam-3980	99	62	in	in	ADP
ejpam-3980	99	63	fe	fe	PROPN
ejpam-3980	99	64	.	.	PUNCT
ejpam-3980	99	65	definition	definition	NOUN
ejpam-3980	99	66	17	17	NUM
ejpam-3980	99	67	.	.	PUNCT
ejpam-3980	100	1	[	[	X
ejpam-3980	100	2	31	31	NUM
ejpam-3980	100	3	]	]	PUNCT
ejpam-3980	100	4	a	a	DET
ejpam-3980	100	5	fuzzy	fuzzy	ADJ
ejpam-3980	100	6	soft	soft	ADJ
ejpam-3980	100	7	mapping	mapping	NOUN
ejpam-3980	100	8	(	(	PUNCT
ejpam-3980	100	9	ϕ,ψ	ϕ,ψ	NOUN
ejpam-3980	100	10	)	)	PUNCT
ejpam-3980	100	11	:	:	PUNCT
ejpam-3980	100	12	(	(	PUNCT
ejpam-3980	100	13	x	x	X
ejpam-3980	100	14	,	,	PUNCT
ejpam-3980	100	15	e	e	NOUN
ejpam-3980	100	16	,	,	PUNCT
ejpam-3980	100	17	τ1	τ1	NOUN
ejpam-3980	100	18	,	,	PUNCT
ejpam-3980	100	19	τ2)→	τ2)→	PROPN
ejpam-3980	100	20	(	(	PUNCT
ejpam-3980	100	21	y	y	PROPN
ejpam-3980	100	22	,	,	PUNCT
ejpam-3980	100	23	k	k	PROPN
ejpam-3980	100	24	,	,	PUNCT
ejpam-3980	100	25	σ1	σ1	PROPN
ejpam-3980	100	26	,	,	PUNCT
ejpam-3980	100	27	σ2	σ2	PROPN
ejpam-3980	100	28	)	)	PUNCT
ejpam-3980	100	29	is	be	AUX
ejpam-3980	100	30	said	say	VERB
ejpam-3980	100	31	to	to	PART
ejpam-3980	100	32	be	be	AUX
ejpam-3980	100	33	(	(	PUNCT
ejpam-3980	100	34	1	1	NUM
ejpam-3980	100	35	,	,	PUNCT
ejpam-3980	100	36	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	100	37	soft	soft	ADJ
ejpam-3980	100	38	b	b	NOUN
ejpam-3980	100	39	-	-	ADJ
ejpam-3980	100	40	continuous	continuous	ADJ
ejpam-3980	100	41	(	(	PUNCT
ejpam-3980	100	42	briefly	briefly	ADV
ejpam-3980	100	43	(	(	PUNCT
ejpam-3980	100	44	1	1	NUM
ejpam-3980	100	45	,	,	PUNCT
ejpam-3980	100	46	2)∗-fsb	2)∗-fsb	NOUN
ejpam-3980	100	47	-	-	PUNCT
ejpam-3980	100	48	continuous	continuous	ADJ
ejpam-3980	100	49	)	)	PUNCT
ejpam-3980	100	50	the	the	DET
ejpam-3980	100	51	inverse	inverse	ADJ
ejpam-3980	100	52	image	image	NOUN
ejpam-3980	100	53	of	of	ADP
ejpam-3980	100	54	every	every	DET
ejpam-3980	100	55	σ1σ2	σ1σ2	NUM
ejpam-3980	100	56	-	-	ADJ
ejpam-3980	100	57	fuzzy	fuzzy	ADJ
ejpam-3980	100	58	soft	soft	ADJ
ejpam-3980	100	59	open	open	ADJ
ejpam-3980	100	60	set	set	VERB
ejpam-3980	100	61	in	in	ADP
ejpam-3980	100	62	(	(	PUNCT
ejpam-3980	100	63	y	y	PROPN
ejpam-3980	100	64	,	,	PUNCT
ejpam-3980	100	65	k	k	PROPN
ejpam-3980	100	66	,	,	PUNCT
ejpam-3980	100	67	σ1	σ1	PROPN
ejpam-3980	100	68	,	,	PUNCT
ejpam-3980	100	69	σ2	σ2	PROPN
ejpam-3980	100	70	)	)	PUNCT
ejpam-3980	100	71	is	be	AUX
ejpam-3980	100	72	a	a	DET
ejpam-3980	100	73	(	(	PUNCT
ejpam-3980	100	74	1	1	NUM
ejpam-3980	100	75	,	,	PUNCT
ejpam-3980	100	76	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	100	77	soft	soft	ADJ
ejpam-3980	100	78	b	b	NOUN
ejpam-3980	100	79	-	-	PUNCT
ejpam-3980	100	80	open	open	ADJ
ejpam-3980	100	81	set	set	NOUN
ejpam-3980	100	82	in	in	ADP
ejpam-3980	100	83	(	(	PUNCT
ejpam-3980	100	84	x	x	NOUN
ejpam-3980	100	85	,	,	PUNCT
ejpam-3980	100	86	e	e	NOUN
ejpam-3980	100	87	,	,	PUNCT
ejpam-3980	100	88	τ1	τ1	NOUN
ejpam-3980	100	89	,	,	PUNCT
ejpam-3980	100	90	τ2	τ2	NOUN
ejpam-3980	100	91	)	)	PUNCT
ejpam-3980	100	92	.	.	PUNCT
ejpam-3980	101	1	definition	definition	NOUN
ejpam-3980	101	2	18	18	NUM
ejpam-3980	101	3	.	.	PUNCT
ejpam-3980	102	1	[	[	X
ejpam-3980	102	2	31	31	NUM
ejpam-3980	102	3	]	]	PUNCT
ejpam-3980	102	4	a	a	DET
ejpam-3980	102	5	fuzzy	fuzzy	ADJ
ejpam-3980	102	6	soft	soft	ADJ
ejpam-3980	102	7	mapping	mapping	NOUN
ejpam-3980	102	8	(	(	PUNCT
ejpam-3980	102	9	ϕ,ψ	ϕ,ψ	NOUN
ejpam-3980	102	10	)	)	PUNCT
ejpam-3980	102	11	:	:	PUNCT
ejpam-3980	102	12	(	(	PUNCT
ejpam-3980	102	13	x	x	X
ejpam-3980	102	14	,	,	PUNCT
ejpam-3980	102	15	e	e	NOUN
ejpam-3980	102	16	,	,	PUNCT
ejpam-3980	102	17	τ1	τ1	NOUN
ejpam-3980	102	18	,	,	PUNCT
ejpam-3980	102	19	τ2)→	τ2)→	PROPN
ejpam-3980	102	20	(	(	PUNCT
ejpam-3980	102	21	y	y	PROPN
ejpam-3980	102	22	,	,	PUNCT
ejpam-3980	102	23	k	k	PROPN
ejpam-3980	102	24	,	,	PUNCT
ejpam-3980	102	25	σ1	σ1	PROPN
ejpam-3980	102	26	,	,	PUNCT
ejpam-3980	102	27	σ2	σ2	PROPN
ejpam-3980	102	28	)	)	PUNCT
ejpam-3980	102	29	is	be	AUX
ejpam-3980	102	30	said	say	VERB
ejpam-3980	102	31	to	to	PART
ejpam-3980	102	32	be	be	AUX
ejpam-3980	102	33	(	(	PUNCT
ejpam-3980	102	34	1	1	NUM
ejpam-3980	102	35	,	,	PUNCT
ejpam-3980	102	36	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	102	37	soft	soft	ADJ
ejpam-3980	102	38	b	b	NOUN
ejpam-3980	102	39	-	-	PUNCT
ejpam-3980	102	40	irresolute	irresolute	ADJ
ejpam-3980	102	41	mapping	mapping	NOUN
ejpam-3980	102	42	(	(	PUNCT
ejpam-3980	102	43	briefly	briefly	ADV
ejpam-3980	102	44	,	,	PUNCT
ejpam-3980	102	45	(	(	PUNCT
ejpam-3980	102	46	1	1	NUM
ejpam-3980	102	47	,	,	PUNCT
ejpam-3980	102	48	2)∗-fsb	2)∗-fsb	NOUN
ejpam-3980	102	49	-	-	PUNCT
ejpam-3980	102	50	irresolute	irresolute	ADJ
ejpam-3980	102	51	)	)	PUNCT
ejpam-3980	102	52	if	if	SCONJ
ejpam-3980	102	53	(	(	PUNCT
ejpam-3980	102	54	ϕ,ψ)−1(gk	ϕ,ψ)−1(gk	X
ejpam-3980	102	55	)	)	PUNCT
ejpam-3980	102	56	is	be	AUX
ejpam-3980	102	57	a	a	DET
ejpam-3980	102	58	(	(	PUNCT
ejpam-3980	102	59	1	1	NUM
ejpam-3980	102	60	,	,	PUNCT
ejpam-3980	102	61	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	102	62	soft	soft	ADJ
ejpam-3980	102	63	b	b	NOUN
ejpam-3980	102	64	-	-	PUNCT
ejpam-3980	102	65	closed	closed	ADJ
ejpam-3980	102	66	set	set	NOUN
ejpam-3980	102	67	in	in	ADP
ejpam-3980	102	68	(	(	PUNCT
ejpam-3980	102	69	x	x	NOUN
ejpam-3980	102	70	,	,	PUNCT
ejpam-3980	102	71	e	e	NOUN
ejpam-3980	102	72	,	,	PUNCT
ejpam-3980	102	73	τ1	τ1	NOUN
ejpam-3980	102	74	,	,	PUNCT
ejpam-3980	102	75	τ2	τ2	NOUN
ejpam-3980	102	76	)	)	PUNCT
ejpam-3980	102	77	for	for	ADP
ejpam-3980	102	78	every	every	DET
ejpam-3980	102	79	(	(	PUNCT
ejpam-3980	102	80	1	1	NUM
ejpam-3980	102	81	,	,	PUNCT
ejpam-3980	102	82	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	102	83	soft	soft	ADJ
ejpam-3980	102	84	b	b	NOUN
ejpam-3980	102	85	-	-	PUNCT
ejpam-3980	102	86	closed	close	VERB
ejpam-3980	102	87	set	set	ADJ
ejpam-3980	102	88	gk	gk	PROPN
ejpam-3980	102	89	in	in	ADP
ejpam-3980	102	90	(	(	PUNCT
ejpam-3980	102	91	y	y	PROPN
ejpam-3980	102	92	,	,	PUNCT
ejpam-3980	102	93	k	k	PROPN
ejpam-3980	102	94	,	,	PUNCT
ejpam-3980	102	95	σ1	σ1	PROPN
ejpam-3980	102	96	,	,	PUNCT
ejpam-3980	102	97	σ2	σ2	NOUN
ejpam-3980	102	98	)	)	PUNCT
ejpam-3980	102	99	.	.	PUNCT
ejpam-3980	103	1	3	3	X
ejpam-3980	103	2	.	.	X
ejpam-3980	103	3	(	(	PUNCT
ejpam-3980	103	4	1	1	NUM
ejpam-3980	103	5	,	,	PUNCT
ejpam-3980	103	6	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	103	7	soft	soft	ADJ
ejpam-3980	103	8	b	b	NOUN
ejpam-3980	103	9	-	-	NOUN
ejpam-3980	103	10	connectedness	connectedness	NOUN
ejpam-3980	103	11	in	in	ADP
ejpam-3980	103	12	this	this	DET
ejpam-3980	103	13	section	section	NOUN
ejpam-3980	103	14	we	we	PRON
ejpam-3980	103	15	introduce	introduce	VERB
ejpam-3980	103	16	the	the	DET
ejpam-3980	103	17	concepts	concept	NOUN
ejpam-3980	103	18	of	of	ADP
ejpam-3980	103	19	(	(	PUNCT
ejpam-3980	103	20	1	1	NUM
ejpam-3980	103	21	,	,	PUNCT
ejpam-3980	103	22	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	103	23	soft	soft	ADJ
ejpam-3980	103	24	b	b	NOUN
ejpam-3980	103	25	-	-	PUNCT
ejpam-3980	103	26	separated	separate	VERB
ejpam-3980	103	27	sets	set	NOUN
ejpam-3980	103	28	and	and	CCONJ
ejpam-3980	103	29	(	(	PUNCT
ejpam-3980	103	30	1	1	NUM
ejpam-3980	103	31	,	,	PUNCT
ejpam-3980	103	32	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	103	33	soft	soft	ADJ
ejpam-3980	103	34	b	b	NOUN
ejpam-3980	103	35	-	-	NOUN
ejpam-3980	103	36	connectedness	connectedness	NOUN
ejpam-3980	103	37	in	in	ADP
ejpam-3980	103	38	fuzzy	fuzzy	ADJ
ejpam-3980	103	39	soft	soft	ADJ
ejpam-3980	103	40	bitopological	bitopological	ADJ
ejpam-3980	103	41	spaces	space	NOUN
ejpam-3980	103	42	.	.	PUNCT
ejpam-3980	104	1	also	also	ADV
ejpam-3980	104	2	,	,	PUNCT
ejpam-3980	104	3	some	some	PRON
ejpam-3980	104	4	of	of	ADP
ejpam-3980	104	5	the	the	DET
ejpam-3980	104	6	main	main	ADJ
ejpam-3980	104	7	results	result	NOUN
ejpam-3980	104	8	and	and	CCONJ
ejpam-3980	104	9	properties	property	NOUN
ejpam-3980	104	10	are	be	AUX
ejpam-3980	104	11	studied	study	VERB
ejpam-3980	104	12	and	and	CCONJ
ejpam-3980	104	13	discussed	discuss	VERB
ejpam-3980	104	14	.	.	PUNCT
ejpam-3980	105	1	definition	definition	NOUN
ejpam-3980	105	2	19	19	NUM
ejpam-3980	105	3	.	.	PUNCT
ejpam-3980	106	1	two	two	NUM
ejpam-3980	106	2	non	non	ADJ
ejpam-3980	106	3	-	-	ADJ
ejpam-3980	106	4	empty	empty	ADJ
ejpam-3980	106	5	fuzzy	fuzzy	ADJ
ejpam-3980	106	6	soft	soft	ADJ
ejpam-3980	106	7	subsets	subset	NOUN
ejpam-3980	106	8	fe	fe	X
ejpam-3980	106	9	,	,	PUNCT
ejpam-3980	106	10	ge	ge	PROPN
ejpam-3980	106	11	of	of	ADP
ejpam-3980	106	12	(	(	PUNCT
ejpam-3980	106	13	̃x	̃x	NOUN
ejpam-3980	106	14	,	,	PUNCT
ejpam-3980	106	15	e	e	NOUN
ejpam-3980	106	16	)	)	PUNCT
ejpam-3980	106	17	are	be	AUX
ejpam-3980	106	18	said	say	VERB
ejpam-3980	106	19	to	to	PART
ejpam-3980	106	20	be	be	AUX
ejpam-3980	106	21	fuzzy	fuzzy	ADJ
ejpam-3980	106	22	soft	soft	ADJ
ejpam-3980	106	23	disjoint	disjoint	NOUN
ejpam-3980	106	24	if	if	SCONJ
ejpam-3980	106	25	fe∩̃ge	fe∩̃ge	NOUN
ejpam-3980	106	26	=	=	PROPN
ejpam-3980	106	27	0̃e	0̃e	PROPN
ejpam-3980	106	28	.	.	PUNCT
ejpam-3980	106	29	a.	a.	PROPN
ejpam-3980	106	30	f.	f.	PROPN
ejpam-3980	106	31	sayed	say	VERB
ejpam-3980	106	32	/	/	SYM
ejpam-3980	106	33	eur	eur	PROPN
ejpam-3980	106	34	.	.	PUNCT
ejpam-3980	107	1	j.	j.	PROPN
ejpam-3980	107	2	pure	pure	PROPN
ejpam-3980	107	3	appl	appl	PROPN
ejpam-3980	107	4	.	.	PROPN
ejpam-3980	107	5	math	math	PROPN
ejpam-3980	107	6	,	,	PUNCT
ejpam-3980	107	7	14	14	NUM
ejpam-3980	107	8	(	(	PUNCT
ejpam-3980	107	9	3	3	NUM
ejpam-3980	107	10	)	)	PUNCT
ejpam-3980	107	11	(	(	PUNCT
ejpam-3980	107	12	2021	2021	NUM
ejpam-3980	107	13	)	)	PUNCT
ejpam-3980	107	14	,	,	PUNCT
ejpam-3980	107	15	760	760	NUM
ejpam-3980	107	16	-	-	SYM
ejpam-3980	107	17	772	772	NUM
ejpam-3980	107	18	764	764	NUM
ejpam-3980	107	19	definition	definition	NOUN
ejpam-3980	107	20	20	20	NUM
ejpam-3980	107	21	.	.	PUNCT
ejpam-3980	108	1	let	let	VERB
ejpam-3980	108	2	(	(	PUNCT
ejpam-3980	108	3	x	x	X
ejpam-3980	108	4	,	,	PUNCT
ejpam-3980	108	5	e	e	NOUN
ejpam-3980	108	6	,	,	PUNCT
ejpam-3980	108	7	τ1	τ1	NOUN
ejpam-3980	108	8	,	,	PUNCT
ejpam-3980	108	9	τ2	τ2	PROPN
ejpam-3980	108	10	)	)	PUNCT
ejpam-3980	108	11	be	be	VERB
ejpam-3980	108	12	a	a	DET
ejpam-3980	108	13	fuzzy	fuzzy	ADJ
ejpam-3980	108	14	soft	soft	ADJ
ejpam-3980	108	15	bitopological	bitopological	ADJ
ejpam-3980	108	16	space	space	NOUN
ejpam-3980	108	17	.	.	PUNCT
ejpam-3980	109	1	two	two	NUM
ejpam-3980	109	2	non	non	ADJ
ejpam-3980	109	3	-	-	ADJ
ejpam-3980	109	4	empty	empty	ADJ
ejpam-3980	109	5	fuzzy	fuzzy	ADJ
ejpam-3980	109	6	soft	soft	ADJ
ejpam-3980	109	7	disjoint	disjoint	NOUN
ejpam-3980	109	8	fuzzy	fuzzy	ADJ
ejpam-3980	109	9	soft	soft	ADJ
ejpam-3980	109	10	subsets	subset	NOUN
ejpam-3980	109	11	fe	fe	X
ejpam-3980	109	12	,	,	PUNCT
ejpam-3980	109	13	ge	ge	PROPN
ejpam-3980	109	14	of	of	ADP
ejpam-3980	109	15	(	(	PUNCT
ejpam-3980	109	16	̃x	̃x	NOUN
ejpam-3980	109	17	,	,	PUNCT
ejpam-3980	109	18	e	e	NOUN
ejpam-3980	109	19	)	)	PUNCT
ejpam-3980	109	20	are	be	AUX
ejpam-3980	109	21	called	call	VERB
ejpam-3980	109	22	(	(	PUNCT
ejpam-3980	109	23	i	i	NOUN
ejpam-3980	109	24	)	)	PUNCT
ejpam-3980	109	25	(	(	PUNCT
ejpam-3980	109	26	1	1	NUM
ejpam-3980	109	27	,	,	PUNCT
ejpam-3980	109	28	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	109	29	soft	soft	ADJ
ejpam-3980	109	30	separated	separate	VERB
ejpam-3980	109	31	sets	set	NOUN
ejpam-3980	109	32	over	over	ADP
ejpam-3980	109	33	x	x	PUNCT
ejpam-3980	110	1	if	if	SCONJ
ejpam-3980	110	2	τ1τ2cl(fe)∩̃ge	τ1τ2cl(fe)∩̃ge	PROPN
ejpam-3980	110	3	=	=	SYM
ejpam-3980	110	4	fe∩̃τ1τ2cl(ge	fe∩̃τ1τ2cl(ge	ADJ
ejpam-3980	110	5	)	)	PUNCT
ejpam-3980	110	6	=	=	SYM
ejpam-3980	110	7	0̃e	0̃e	PROPN
ejpam-3980	110	8	.	.	PUNCT
ejpam-3980	110	9	(	(	PUNCT
ejpam-3980	110	10	ii	ii	NOUN
ejpam-3980	110	11	)	)	PUNCT
ejpam-3980	110	12	(	(	PUNCT
ejpam-3980	110	13	1	1	NUM
ejpam-3980	110	14	,	,	PUNCT
ejpam-3980	110	15	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	110	16	soft	soft	ADJ
ejpam-3980	110	17	b	b	NOUN
ejpam-3980	110	18	-	-	PUNCT
ejpam-3980	110	19	separated	separate	VERB
ejpam-3980	110	20	(	(	PUNCT
ejpam-3980	110	21	(	(	PUNCT
ejpam-3980	110	22	1	1	NUM
ejpam-3980	110	23	,	,	PUNCT
ejpam-3980	110	24	2)∗-fsb	2)∗-fsb	NUM
ejpam-3980	110	25	-	-	SYM
ejpam-3980	110	26	separated)sets	separated)set	NOUN
ejpam-3980	110	27	over	over	ADP
ejpam-3980	110	28	x	x	PUNCT
ejpam-3980	110	29	if	if	SCONJ
ejpam-3980	110	30	(	(	PUNCT
ejpam-3980	110	31	(	(	PUNCT
ejpam-3980	110	32	1	1	NUM
ejpam-3980	110	33	,	,	PUNCT
ejpam-3980	110	34	2)∗-fsbcl(fe))∩̃ge	2)∗-fsbcl(fe))∩̃ge	NUM
ejpam-3980	110	35	=	=	SYM
ejpam-3980	110	36	fe∩̃((1	fe∩̃((1	NOUN
ejpam-3980	110	37	,	,	PUNCT
ejpam-3980	110	38	2)∗-fsbcl(ge	2)∗-fsbcl(ge	NUM
ejpam-3980	110	39	)	)	PUNCT
ejpam-3980	110	40	)	)	PUNCT
ejpam-3980	111	1	=	=	SYM
ejpam-3980	111	2	0̃e	0̃e	PROPN
ejpam-3980	111	3	.	.	PUNCT
ejpam-3980	111	4	remark	remark	PROPN
ejpam-3980	111	5	1	1	NUM
ejpam-3980	111	6	.	.	PUNCT
ejpam-3980	112	1	from	from	ADP
ejpam-3980	112	2	the	the	DET
ejpam-3980	112	3	fact	fact	NOUN
ejpam-3980	112	4	that	that	SCONJ
ejpam-3980	112	5	(	(	PUNCT
ejpam-3980	112	6	1	1	NUM
ejpam-3980	112	7	,	,	PUNCT
ejpam-3980	112	8	2)∗-fsbcl(fe)⊆̃τ1τ2cl(fe	2)∗-fsbcl(fe)⊆̃τ1τ2cl(fe	NUM
ejpam-3980	112	9	)	)	PUNCT
ejpam-3980	112	10	,	,	PUNCT
ejpam-3980	112	11	for	for	ADP
ejpam-3980	112	12	every	every	DET
ejpam-3980	112	13	fuzzy	fuzzy	ADJ
ejpam-3980	112	14	soft	soft	ADJ
ejpam-3980	112	15	subset	subset	ADJ
ejpam-3980	112	16	fe	fe	NOUN
ejpam-3980	112	17	of	of	ADP
ejpam-3980	112	18	(	(	PUNCT
ejpam-3980	112	19	̃x	̃x	NOUN
ejpam-3980	112	20	,	,	PUNCT
ejpam-3980	112	21	e	e	NOUN
ejpam-3980	112	22	)	)	PUNCT
ejpam-3980	112	23	,	,	PUNCT
ejpam-3980	112	24	every	every	DET
ejpam-3980	112	25	(	(	PUNCT
ejpam-3980	112	26	1	1	NUM
ejpam-3980	112	27	,	,	PUNCT
ejpam-3980	112	28	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	112	29	soft	soft	ADJ
ejpam-3980	112	30	separated	separate	VERB
ejpam-3980	112	31	set	set	NOUN
ejpam-3980	112	32	is	be	AUX
ejpam-3980	112	33	(	(	PUNCT
ejpam-3980	112	34	1	1	NUM
ejpam-3980	112	35	,	,	PUNCT
ejpam-3980	112	36	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	112	37	soft	soft	ADJ
ejpam-3980	112	38	b	b	NOUN
ejpam-3980	112	39	-	-	PUNCT
ejpam-3980	112	40	separated	separate	VERB
ejpam-3980	112	41	.	.	PUNCT
ejpam-3980	113	1	but	but	CCONJ
ejpam-3980	113	2	the	the	DET
ejpam-3980	113	3	converse	converse	NOUN
ejpam-3980	113	4	may	may	AUX
ejpam-3980	113	5	not	not	PART
ejpam-3980	113	6	be	be	AUX
ejpam-3980	113	7	true	true	ADJ
ejpam-3980	113	8	.	.	PUNCT
ejpam-3980	114	1	definition	definition	NOUN
ejpam-3980	114	2	21	21	NUM
ejpam-3980	114	3	.	.	PUNCT
ejpam-3980	115	1	a	a	DET
ejpam-3980	115	2	(	(	PUNCT
ejpam-3980	115	3	1	1	NUM
ejpam-3980	115	4	,	,	PUNCT
ejpam-3980	115	5	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	115	6	soft	soft	ADJ
ejpam-3980	115	7	b	b	NOUN
ejpam-3980	115	8	-	-	PUNCT
ejpam-3980	115	9	separation	separation	NOUN
ejpam-3980	115	10	(	(	PUNCT
ejpam-3980	115	11	(	(	PUNCT
ejpam-3980	115	12	1	1	NUM
ejpam-3980	115	13	,	,	PUNCT
ejpam-3980	115	14	2)∗-fsb	2)∗-fsb	NOUN
ejpam-3980	115	15	-	-	PUNCT
ejpam-3980	115	16	separation	separation	NOUN
ejpam-3980	115	17	)	)	PUNCT
ejpam-3980	115	18	of	of	ADP
ejpam-3980	115	19	a	a	DET
ejpam-3980	115	20	fuzzy	fuzzy	ADJ
ejpam-3980	115	21	soft	soft	ADJ
ejpam-3980	115	22	bitopological	bitopological	ADJ
ejpam-3980	115	23	space	space	NOUN
ejpam-3980	115	24	(	(	PUNCT
ejpam-3980	115	25	x	x	X
ejpam-3980	115	26	,	,	PUNCT
ejpam-3980	115	27	e	e	NOUN
ejpam-3980	115	28	,	,	PUNCT
ejpam-3980	115	29	τ1	τ1	NOUN
ejpam-3980	115	30	,	,	PUNCT
ejpam-3980	115	31	τ2	τ2	NOUN
ejpam-3980	115	32	)	)	PUNCT
ejpam-3980	115	33	is	be	AUX
ejpam-3980	115	34	a	a	DET
ejpam-3980	115	35	pair	pair	NOUN
ejpam-3980	115	36	of	of	ADP
ejpam-3980	115	37	(	(	PUNCT
ejpam-3980	115	38	1	1	NUM
ejpam-3980	115	39	,	,	PUNCT
ejpam-3980	115	40	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	115	41	soft	soft	ADJ
ejpam-3980	115	42	b	b	NOUN
ejpam-3980	115	43	-	-	PUNCT
ejpam-3980	115	44	separated	separate	VERB
ejpam-3980	115	45	sets	set	NOUN
ejpam-3980	115	46	fe	fe	X
ejpam-3980	115	47	and	and	CCONJ
ejpam-3980	115	48	ge	ge	PROPN
ejpam-3980	115	49	whose	whose	DET
ejpam-3980	115	50	fuzzy	fuzzy	ADJ
ejpam-3980	115	51	soft	soft	ADJ
ejpam-3980	115	52	union	union	NOUN
ejpam-3980	115	53	is	be	AUX
ejpam-3980	115	54	absolute	absolute	ADJ
ejpam-3980	115	55	fuzzy	fuzzy	ADJ
ejpam-3980	115	56	soft	soft	ADJ
ejpam-3980	115	57	set	set	NOUN
ejpam-3980	115	58	1̃e(that	1̃e(that	NUM
ejpam-3980	115	59	is	be	AUX
ejpam-3980	115	60	fe∪̃ge	fe∪̃ge	ADJ
ejpam-3980	115	61	=	=	SYM
ejpam-3980	115	62	1̃e	1̃e	NUM
ejpam-3980	115	63	)	)	PUNCT
ejpam-3980	115	64	.	.	PUNCT
ejpam-3980	116	1	definition	definition	NOUN
ejpam-3980	116	2	22	22	NUM
ejpam-3980	116	3	.	.	PUNCT
ejpam-3980	117	1	let	let	VERB
ejpam-3980	117	2	(	(	PUNCT
ejpam-3980	117	3	x	x	X
ejpam-3980	117	4	,	,	PUNCT
ejpam-3980	117	5	e	e	NOUN
ejpam-3980	117	6	,	,	PUNCT
ejpam-3980	117	7	τ1	τ1	NOUN
ejpam-3980	117	8	,	,	PUNCT
ejpam-3980	117	9	τ2	τ2	PROPN
ejpam-3980	117	10	)	)	PUNCT
ejpam-3980	117	11	be	be	VERB
ejpam-3980	117	12	a	a	DET
ejpam-3980	117	13	fuzzy	fuzzy	ADJ
ejpam-3980	117	14	soft	soft	ADJ
ejpam-3980	117	15	bitopological	bitopological	ADJ
ejpam-3980	117	16	space	space	NOUN
ejpam-3980	117	17	.	.	PUNCT
ejpam-3980	118	1	then	then	ADV
ejpam-3980	118	2	(	(	PUNCT
ejpam-3980	118	3	x	x	X
ejpam-3980	118	4	,	,	PUNCT
ejpam-3980	118	5	e	e	NOUN
ejpam-3980	118	6	,	,	PUNCT
ejpam-3980	118	7	τ1	τ1	NOUN
ejpam-3980	118	8	,	,	PUNCT
ejpam-3980	118	9	τ2	τ2	NOUN
ejpam-3980	118	10	)	)	PUNCT
ejpam-3980	118	11	is	be	AUX
ejpam-3980	118	12	called	call	VERB
ejpam-3980	118	13	(	(	PUNCT
ejpam-3980	118	14	1	1	NUM
ejpam-3980	118	15	,	,	PUNCT
ejpam-3980	118	16	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	118	17	soft	soft	ADJ
ejpam-3980	118	18	b	b	NOUN
ejpam-3980	118	19	-	-	PUNCT
ejpam-3980	118	20	connected	connect	VERB
ejpam-3980	118	21	space	space	NOUN
ejpam-3980	118	22	if	if	SCONJ
ejpam-3980	118	23	1̃e	1̃e	PROPN
ejpam-3980	118	24	can	can	AUX
ejpam-3980	118	25	not	not	PART
ejpam-3980	118	26	be	be	AUX
ejpam-3980	118	27	expressed	express	VERB
ejpam-3980	118	28	as	as	ADP
ejpam-3980	118	29	the	the	DET
ejpam-3980	118	30	fuzzy	fuzzy	ADJ
ejpam-3980	118	31	soft	soft	ADJ
ejpam-3980	118	32	union	union	NOUN
ejpam-3980	118	33	of	of	ADP
ejpam-3980	118	34	two	two	NUM
ejpam-3980	118	35	(	(	PUNCT
ejpam-3980	118	36	1	1	NUM
ejpam-3980	118	37	,	,	PUNCT
ejpam-3980	118	38	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	118	39	soft	soft	ADJ
ejpam-3980	118	40	b	b	NOUN
ejpam-3980	118	41	-	-	PUNCT
ejpam-3980	118	42	separated	separate	VERB
ejpam-3980	118	43	sets	set	NOUN
ejpam-3980	118	44	.	.	PUNCT
ejpam-3980	119	1	remark	remark	NOUN
ejpam-3980	119	2	2	2	NUM
ejpam-3980	119	3	.	.	PUNCT
ejpam-3980	120	1	in	in	ADP
ejpam-3980	120	2	a	a	DET
ejpam-3980	120	3	fuzzy	fuzzy	ADJ
ejpam-3980	120	4	soft	soft	ADJ
ejpam-3980	120	5	bitopological	bitopological	ADJ
ejpam-3980	120	6	space	space	NOUN
ejpam-3980	120	7	(	(	PUNCT
ejpam-3980	120	8	x	x	X
ejpam-3980	120	9	,	,	PUNCT
ejpam-3980	120	10	e	e	NOUN
ejpam-3980	120	11	,	,	PUNCT
ejpam-3980	120	12	τ1	τ1	NOUN
ejpam-3980	120	13	,	,	PUNCT
ejpam-3980	120	14	τ2	τ2	PROPN
ejpam-3980	120	15	):	):	PUNCT
ejpam-3980	120	16	(	(	PUNCT
ejpam-3980	120	17	i	i	NOUN
ejpam-3980	120	18	)	)	PUNCT
ejpam-3980	120	19	a	a	DET
ejpam-3980	120	20	fuzzy	fuzzy	ADJ
ejpam-3980	120	21	soft	soft	ADJ
ejpam-3980	120	22	empty	empty	ADJ
ejpam-3980	120	23	set	set	NOUN
ejpam-3980	120	24	is	be	AUX
ejpam-3980	120	25	trivially	trivially	ADV
ejpam-3980	120	26	(	(	PUNCT
ejpam-3980	120	27	1	1	NUM
ejpam-3980	120	28	,	,	PUNCT
ejpam-3980	120	29	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	120	30	soft	soft	ADJ
ejpam-3980	120	31	b	b	NOUN
ejpam-3980	120	32	-	-	PUNCT
ejpam-3980	120	33	connected	connect	VERB
ejpam-3980	120	34	set	set	NOUN
ejpam-3980	120	35	.	.	PUNCT
ejpam-3980	121	1	(	(	PUNCT
ejpam-3980	121	2	ii	ii	NOUN
ejpam-3980	121	3	)	)	PUNCT
ejpam-3980	121	4	every	every	DET
ejpam-3980	121	5	fuzzy	fuzzy	ADJ
ejpam-3980	121	6	soft	soft	ADJ
ejpam-3980	121	7	singleton	singleton	NOUN
ejpam-3980	121	8	set	set	NOUN
ejpam-3980	121	9	is	be	AUX
ejpam-3980	121	10	(	(	PUNCT
ejpam-3980	121	11	1	1	NUM
ejpam-3980	121	12	,	,	PUNCT
ejpam-3980	121	13	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	121	14	soft	soft	ADJ
ejpam-3980	121	15	b	b	NOUN
ejpam-3980	121	16	-	-	PUNCT
ejpam-3980	121	17	connected	connect	VERB
ejpam-3980	121	18	,	,	PUNCT
ejpam-3980	121	19	since	since	SCONJ
ejpam-3980	121	20	it	it	PRON
ejpam-3980	121	21	can	can	AUX
ejpam-3980	121	22	not	not	PART
ejpam-3980	121	23	be	be	AUX
ejpam-3980	121	24	expressd	expressd	NOUN
ejpam-3980	121	25	as	as	ADP
ejpam-3980	121	26	a	a	DET
ejpam-3980	121	27	fuzzy	fuzzy	ADJ
ejpam-3980	121	28	soft	soft	ADJ
ejpam-3980	121	29	union	union	NOUN
ejpam-3980	121	30	of	of	ADP
ejpam-3980	121	31	two	two	NUM
ejpam-3980	121	32	non	non	ADJ
ejpam-3980	121	33	-	-	ADJ
ejpam-3980	121	34	empty	empty	ADJ
ejpam-3980	121	35	(	(	PUNCT
ejpam-3980	121	36	1	1	NUM
ejpam-3980	121	37	,	,	PUNCT
ejpam-3980	121	38	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	121	39	soft	soft	ADJ
ejpam-3980	121	40	b	b	NOUN
ejpam-3980	121	41	-	-	PUNCT
ejpam-3980	121	42	separated	separate	VERB
ejpam-3980	121	43	sets	set	NOUN
ejpam-3980	121	44	.	.	PUNCT
ejpam-3980	122	1	theorem	theorem	NOUN
ejpam-3980	122	2	1	1	NUM
ejpam-3980	122	3	.	.	PUNCT
ejpam-3980	123	1	let	let	VERB
ejpam-3980	123	2	(	(	PUNCT
ejpam-3980	123	3	x	x	X
ejpam-3980	123	4	,	,	PUNCT
ejpam-3980	123	5	e	e	NOUN
ejpam-3980	123	6	,	,	PUNCT
ejpam-3980	123	7	τ1	τ1	NOUN
ejpam-3980	123	8	,	,	PUNCT
ejpam-3980	123	9	τ2	τ2	PROPN
ejpam-3980	123	10	)	)	PUNCT
ejpam-3980	123	11	be	be	VERB
ejpam-3980	123	12	a	a	DET
ejpam-3980	123	13	fuzzy	fuzzy	ADJ
ejpam-3980	123	14	soft	soft	ADJ
ejpam-3980	123	15	bitopological	bitopological	ADJ
ejpam-3980	123	16	space	space	NOUN
ejpam-3980	123	17	.	.	PUNCT
ejpam-3980	124	1	then	then	ADV
ejpam-3980	124	2	the	the	DET
ejpam-3980	124	3	following	follow	VERB
ejpam-3980	124	4	statements	statement	NOUN
ejpam-3980	124	5	are	be	AUX
ejpam-3980	124	6	equivalent	equivalent	ADJ
ejpam-3980	124	7	:	:	PUNCT
ejpam-3980	124	8	(	(	PUNCT
ejpam-3980	124	9	i	i	NOUN
ejpam-3980	124	10	)	)	PUNCT
ejpam-3980	124	11	(	(	PUNCT
ejpam-3980	124	12	x	x	X
ejpam-3980	124	13	,	,	PUNCT
ejpam-3980	124	14	e	e	NOUN
ejpam-3980	124	15	,	,	PUNCT
ejpam-3980	124	16	τ1	τ1	NOUN
ejpam-3980	124	17	,	,	PUNCT
ejpam-3980	124	18	τ2	τ2	NOUN
ejpam-3980	124	19	)	)	PUNCT
ejpam-3980	124	20	is	be	AUX
ejpam-3980	124	21	a	a	DET
ejpam-3980	124	22	(	(	PUNCT
ejpam-3980	124	23	1	1	NUM
ejpam-3980	124	24	,	,	PUNCT
ejpam-3980	124	25	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	124	26	soft	soft	ADJ
ejpam-3980	124	27	b	b	NOUN
ejpam-3980	124	28	-	-	PUNCT
ejpam-3980	124	29	connected	connect	VERB
ejpam-3980	124	30	space	space	NOUN
ejpam-3980	124	31	.	.	PUNCT
ejpam-3980	125	1	(	(	PUNCT
ejpam-3980	125	2	ii	ii	NOUN
ejpam-3980	125	3	)	)	PUNCT
ejpam-3980	125	4	1̃e	1̃e	PROPN
ejpam-3980	125	5	and	and	CCONJ
ejpam-3980	125	6	0̃e	0̃e	PROPN
ejpam-3980	125	7	are	be	AUX
ejpam-3980	125	8	the	the	DET
ejpam-3980	125	9	only	only	ADJ
ejpam-3980	125	10	(	(	PUNCT
ejpam-3980	125	11	1	1	NUM
ejpam-3980	125	12	,	,	PUNCT
ejpam-3980	125	13	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	125	14	soft	soft	ADJ
ejpam-3980	125	15	b	b	NOUN
ejpam-3980	125	16	-	-	PUNCT
ejpam-3980	125	17	clopen	clopen	ADJ
ejpam-3980	125	18	(	(	PUNCT
ejpam-3980	125	19	that	that	PRON
ejpam-3980	125	20	is	is	ADV
ejpam-3980	125	21	,	,	PUNCT
ejpam-3980	125	22	closed	closed	ADJ
ejpam-3980	125	23	and	and	CCONJ
ejpam-3980	125	24	open	open	ADJ
ejpam-3980	125	25	)	)	PUNCT
ejpam-3980	125	26	sets	set	NOUN
ejpam-3980	125	27	in	in	ADP
ejpam-3980	125	28	(	(	PUNCT
ejpam-3980	125	29	x	x	NOUN
ejpam-3980	125	30	,	,	PUNCT
ejpam-3980	125	31	e	e	NOUN
ejpam-3980	125	32	,	,	PUNCT
ejpam-3980	125	33	τ1	τ1	NOUN
ejpam-3980	125	34	,	,	PUNCT
ejpam-3980	125	35	τ2	τ2	NOUN
ejpam-3980	125	36	)	)	PUNCT
ejpam-3980	125	37	.	.	PUNCT
ejpam-3980	126	1	(	(	PUNCT
ejpam-3980	126	2	iii	iii	X
ejpam-3980	126	3	)	)	PUNCT
ejpam-3980	126	4	1̃e	1̃e	NOUN
ejpam-3980	126	5	can	can	AUX
ejpam-3980	126	6	not	not	PART
ejpam-3980	126	7	be	be	AUX
ejpam-3980	126	8	expressed	express	VERB
ejpam-3980	126	9	as	as	ADP
ejpam-3980	126	10	the	the	DET
ejpam-3980	126	11	fuzzy	fuzzy	ADJ
ejpam-3980	126	12	soft	soft	ADJ
ejpam-3980	126	13	union	union	NOUN
ejpam-3980	126	14	of	of	ADP
ejpam-3980	126	15	two	two	NUM
ejpam-3980	126	16	fuzzy	fuzzy	ADJ
ejpam-3980	126	17	soft	soft	ADJ
ejpam-3980	126	18	disjoint	disjoint	NOUN
ejpam-3980	126	19	non	non	ADJ
ejpam-3980	126	20	-	-	ADJ
ejpam-3980	126	21	empty	empty	ADJ
ejpam-3980	126	22	(	(	PUNCT
ejpam-3980	126	23	1	1	NUM
ejpam-3980	126	24	,	,	PUNCT
ejpam-3980	126	25	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	126	26	soft	soft	ADJ
ejpam-3980	126	27	b	b	NOUN
ejpam-3980	126	28	-	-	PUNCT
ejpam-3980	126	29	open	open	ADJ
ejpam-3980	126	30	sets	set	NOUN
ejpam-3980	126	31	.	.	PUNCT
ejpam-3980	127	1	(	(	PUNCT
ejpam-3980	127	2	iv	iv	X
ejpam-3980	127	3	)	)	PUNCT
ejpam-3980	127	4	1̃e	1̃e	PROPN
ejpam-3980	127	5	can	can	AUX
ejpam-3980	127	6	not	not	PART
ejpam-3980	127	7	be	be	AUX
ejpam-3980	127	8	expressed	express	VERB
ejpam-3980	127	9	as	as	ADP
ejpam-3980	127	10	the	the	DET
ejpam-3980	127	11	fuzzy	fuzzy	ADJ
ejpam-3980	127	12	soft	soft	ADJ
ejpam-3980	127	13	union	union	NOUN
ejpam-3980	127	14	of	of	ADP
ejpam-3980	127	15	two	two	NUM
ejpam-3980	127	16	fuzzy	fuzzy	ADJ
ejpam-3980	127	17	soft	soft	ADJ
ejpam-3980	127	18	disjoint	disjoint	NOUN
ejpam-3980	127	19	non	non	ADJ
ejpam-3980	127	20	-	-	ADJ
ejpam-3980	127	21	empty	empty	ADJ
ejpam-3980	127	22	(	(	PUNCT
ejpam-3980	127	23	1	1	NUM
ejpam-3980	127	24	,	,	PUNCT
ejpam-3980	127	25	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	127	26	soft	soft	ADJ
ejpam-3980	127	27	b	b	NOUN
ejpam-3980	127	28	-	-	PUNCT
ejpam-3980	127	29	closed	closed	ADJ
ejpam-3980	127	30	sets	set	NOUN
ejpam-3980	127	31	.	.	PUNCT
ejpam-3980	128	1	proof	proof	NOUN
ejpam-3980	128	2	.	.	PUNCT
ejpam-3980	129	1	(	(	PUNCT
ejpam-3980	129	2	i	i	NOUN
ejpam-3980	129	3	)	)	PUNCT
ejpam-3980	129	4	⇒	⇒	PROPN
ejpam-3980	129	5	(	(	PUNCT
ejpam-3980	129	6	ii	ii	PROPN
ejpam-3980	129	7	):	):	PUNCT
ejpam-3980	129	8	let	let	VERB
ejpam-3980	129	9	(	(	PUNCT
ejpam-3980	129	10	x	x	X
ejpam-3980	129	11	,	,	PUNCT
ejpam-3980	129	12	e	e	NOUN
ejpam-3980	129	13	,	,	PUNCT
ejpam-3980	129	14	τ1	τ1	NOUN
ejpam-3980	129	15	,	,	PUNCT
ejpam-3980	129	16	τ2	τ2	PROPN
ejpam-3980	129	17	)	)	PUNCT
ejpam-3980	129	18	be	be	VERB
ejpam-3980	129	19	a	a	DET
ejpam-3980	129	20	fuzzy	fuzzy	ADJ
ejpam-3980	129	21	soft	soft	ADJ
ejpam-3980	129	22	bitopological	bitopological	ADJ
ejpam-3980	129	23	space	space	NOUN
ejpam-3980	129	24	.	.	PUNCT
ejpam-3980	130	1	let	let	VERB
ejpam-3980	130	2	fe	fe	X
ejpam-3980	130	3	be	be	AUX
ejpam-3980	130	4	non	non	ADJ
ejpam-3980	130	5	-	-	ADJ
ejpam-3980	130	6	empty	empty	ADJ
ejpam-3980	130	7	proper	proper	ADJ
ejpam-3980	130	8	fuzzy	fuzzy	ADJ
ejpam-3980	130	9	soft	soft	ADJ
ejpam-3980	130	10	subset	subset	NOUN
ejpam-3980	130	11	of	of	ADP
ejpam-3980	130	12	(	(	PUNCT
ejpam-3980	130	13	̃x	̃x	NOUN
ejpam-3980	130	14	,	,	PUNCT
ejpam-3980	130	15	e	e	NOUN
ejpam-3980	130	16	)	)	PUNCT
ejpam-3980	130	17	that	that	PRON
ejpam-3980	130	18	is	is	ADV
ejpam-3980	130	19	(	(	PUNCT
ejpam-3980	130	20	1	1	NUM
ejpam-3980	130	21	,	,	PUNCT
ejpam-3980	130	22	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	130	23	soft	soft	ADJ
ejpam-3980	130	24	b	b	NOUN
ejpam-3980	130	25	-	-	PUNCT
ejpam-3980	130	26	clopen	clopen	ADJ
ejpam-3980	130	27	.	.	PUNCT
ejpam-3980	131	1	then	then	ADV
ejpam-3980	131	2	1̃e	1̃e	NUM
ejpam-3980	131	3	\	\	PROPN
ejpam-3980	131	4	fe	fe	X
ejpam-3980	131	5	is	be	AUX
ejpam-3980	131	6	a	a	DET
ejpam-3980	131	7	non	non	ADJ
ejpam-3980	131	8	-	-	ADJ
ejpam-3980	131	9	empty	empty	ADJ
ejpam-3980	131	10	(	(	PUNCT
ejpam-3980	131	11	1	1	NUM
ejpam-3980	131	12	,	,	PUNCT
ejpam-3980	131	13	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	131	14	soft	soft	ADJ
ejpam-3980	131	15	b	b	NOUN
ejpam-3980	131	16	-	-	PUNCT
ejpam-3980	131	17	clopen	clopen	ADJ
ejpam-3980	131	18	set	set	NOUN
ejpam-3980	131	19	and	and	CCONJ
ejpam-3980	131	20	1̃e	1̃e	NUM
ejpam-3980	131	21	=	=	SYM
ejpam-3980	131	22	fe∪̃(1̃e	fe∪̃(1̃e	SYM
ejpam-3980	131	23	\	\	PROPN
ejpam-3980	131	24	fe	fe	PROPN
ejpam-3980	131	25	)	)	PUNCT
ejpam-3980	131	26	.	.	PUNCT
ejpam-3980	132	1	this	this	PRON
ejpam-3980	132	2	is	be	AUX
ejpam-3980	132	3	a	a	DET
ejpam-3980	132	4	contradiction	contradiction	NOUN
ejpam-3980	132	5	to	to	ADP
ejpam-3980	132	6	(	(	PUNCT
ejpam-3980	132	7	x	x	X
ejpam-3980	132	8	,	,	PUNCT
ejpam-3980	132	9	e	e	NOUN
ejpam-3980	132	10	,	,	PUNCT
ejpam-3980	132	11	τ1	τ1	NOUN
ejpam-3980	132	12	,	,	PUNCT
ejpam-3980	132	13	τ2	τ2	NOUN
ejpam-3980	132	14	)	)	PUNCT
ejpam-3980	132	15	is	be	AUX
ejpam-3980	132	16	a	a	DET
ejpam-3980	132	17	(	(	PUNCT
ejpam-3980	132	18	1	1	NUM
ejpam-3980	132	19	,	,	PUNCT
ejpam-3980	132	20	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	132	21	soft	soft	ADJ
ejpam-3980	132	22	b	b	NOUN
ejpam-3980	132	23	-	-	PUNCT
ejpam-3980	132	24	connected	connect	VERB
ejpam-3980	132	25	space	space	NOUN
ejpam-3980	132	26	.	.	PUNCT
ejpam-3980	133	1	therefore	therefore	ADV
ejpam-3980	133	2	1̃e	1̃e	NUM
ejpam-3980	133	3	and	and	CCONJ
ejpam-3980	133	4	0̃e	0̃e	PROPN
ejpam-3980	133	5	are	be	AUX
ejpam-3980	133	6	the	the	DET
ejpam-3980	133	7	only	only	ADJ
ejpam-3980	133	8	(	(	PUNCT
ejpam-3980	133	9	1	1	NUM
ejpam-3980	133	10	,	,	PUNCT
ejpam-3980	133	11	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	133	12	soft	soft	ADJ
ejpam-3980	133	13	b	b	NOUN
ejpam-3980	133	14	-	-	PUNCT
ejpam-3980	133	15	clopen	clopen	ADJ
ejpam-3980	133	16	sets	set	NOUN
ejpam-3980	133	17	in	in	ADP
ejpam-3980	133	18	(	(	PUNCT
ejpam-3980	133	19	x	x	NOUN
ejpam-3980	133	20	,	,	PUNCT
ejpam-3980	133	21	e	e	NOUN
ejpam-3980	133	22	,	,	PUNCT
ejpam-3980	133	23	τ1	τ1	NOUN
ejpam-3980	133	24	,	,	PUNCT
ejpam-3980	133	25	τ2	τ2	NOUN
ejpam-3980	133	26	)	)	PUNCT
ejpam-3980	133	27	.	.	PUNCT
ejpam-3980	134	1	(	(	PUNCT
ejpam-3980	134	2	ii	ii	NOUN
ejpam-3980	134	3	)	)	PUNCT
ejpam-3980	134	4	⇒	⇒	NOUN
ejpam-3980	134	5	(	(	PUNCT
ejpam-3980	134	6	iii	iii	NOUN
ejpam-3980	134	7	):	):	PUNCT
ejpam-3980	134	8	assume	assume	VERB
ejpam-3980	134	9	that	that	SCONJ
ejpam-3980	134	10	1̃e	1̃e	PROPN
ejpam-3980	134	11	and	and	CCONJ
ejpam-3980	134	12	0̃e	0̃e	PROPN
ejpam-3980	134	13	are	be	AUX
ejpam-3980	134	14	the	the	DET
ejpam-3980	134	15	only	only	ADJ
ejpam-3980	134	16	(	(	PUNCT
ejpam-3980	134	17	1	1	NUM
ejpam-3980	134	18	,	,	PUNCT
ejpam-3980	134	19	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	134	20	soft	soft	ADJ
ejpam-3980	134	21	b	b	NOUN
ejpam-3980	134	22	-	-	PUNCT
ejpam-3980	134	23	clopen	clopen	ADJ
ejpam-3980	134	24	sets	set	NOUN
ejpam-3980	134	25	in	in	ADP
ejpam-3980	134	26	(	(	PUNCT
ejpam-3980	134	27	x	x	NOUN
ejpam-3980	134	28	,	,	PUNCT
ejpam-3980	134	29	e	e	NOUN
ejpam-3980	134	30	,	,	PUNCT
ejpam-3980	134	31	τ1	τ1	NOUN
ejpam-3980	134	32	,	,	PUNCT
ejpam-3980	134	33	τ2	τ2	NOUN
ejpam-3980	134	34	)	)	PUNCT
ejpam-3980	134	35	.	.	PUNCT
ejpam-3980	135	1	suppose	suppose	VERB
ejpam-3980	135	2	(	(	PUNCT
ejpam-3980	135	3	iii	iii	NOUN
ejpam-3980	135	4	)	)	PUNCT
ejpam-3980	135	5	is	be	AUX
ejpam-3980	135	6	false	false	ADJ
ejpam-3980	135	7	.	.	PUNCT
ejpam-3980	136	1	then	then	ADV
ejpam-3980	136	2	1̃e	1̃e	NUM
ejpam-3980	136	3	=	=	SYM
ejpam-3980	136	4	fe∪̃ge	fe∪̃ge	NOUN
ejpam-3980	136	5	where	where	SCONJ
ejpam-3980	136	6	fe	fe	X
ejpam-3980	136	7	and	and	CCONJ
ejpam-3980	136	8	ge	ge	PROPN
ejpam-3980	136	9	are	be	AUX
ejpam-3980	136	10	fuzzy	fuzzy	ADJ
ejpam-3980	136	11	soft	soft	ADJ
ejpam-3980	136	12	disjoint	disjoint	ADJ
ejpam-3980	136	13	non	non	ADJ
ejpam-3980	136	14	-	-	ADJ
ejpam-3980	136	15	empty	empty	ADJ
ejpam-3980	136	16	(	(	PUNCT
ejpam-3980	136	17	1	1	NUM
ejpam-3980	136	18	,	,	PUNCT
ejpam-3980	136	19	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	136	20	soft	soft	ADJ
ejpam-3980	136	21	b	b	NOUN
ejpam-3980	136	22	-	-	PUNCT
ejpam-3980	136	23	open	open	ADJ
ejpam-3980	136	24	sets	set	NOUN
ejpam-3980	136	25	.	.	PUNCT
ejpam-3980	137	1	then	then	ADV
ejpam-3980	137	2	ge	ge	PROPN
ejpam-3980	137	3	=	=	PROPN
ejpam-3980	137	4	1̃e	1̃e	NUM
ejpam-3980	137	5	\	\	NOUN
ejpam-3980	137	6	fe	fe	X
ejpam-3980	137	7	is	be	AUX
ejpam-3980	137	8	(	(	PUNCT
ejpam-3980	137	9	1	1	NUM
ejpam-3980	137	10	,	,	PUNCT
ejpam-3980	137	11	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	137	12	soft	soft	ADJ
ejpam-3980	137	13	b	b	NOUN
ejpam-3980	137	14	-	-	PUNCT
ejpam-3980	137	15	closed	closed	ADJ
ejpam-3980	137	16	and	and	CCONJ
ejpam-3980	137	17	non	non	ADJ
ejpam-3980	137	18	-	-	ADJ
ejpam-3980	137	19	empty	empty	ADJ
ejpam-3980	137	20	.	.	PUNCT
ejpam-3980	138	1	thus	thus	ADV
ejpam-3980	138	2	ge	ge	PROPN
ejpam-3980	138	3	is	be	AUX
ejpam-3980	138	4	a	a	DET
ejpam-3980	138	5	non	non	ADJ
ejpam-3980	138	6	-	-	ADJ
ejpam-3980	138	7	empty	empty	ADJ
ejpam-3980	138	8	proper	proper	ADJ
ejpam-3980	138	9	(	(	PUNCT
ejpam-3980	138	10	1	1	NUM
ejpam-3980	138	11	,	,	PUNCT
ejpam-3980	138	12	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	138	13	soft	soft	ADJ
ejpam-3980	138	14	b	b	NOUN
ejpam-3980	138	15	-	-	PUNCT
ejpam-3980	138	16	clopen	clopen	ADJ
ejpam-3980	138	17	set	set	NOUN
ejpam-3980	138	18	in	in	ADP
ejpam-3980	138	19	(	(	PUNCT
ejpam-3980	138	20	x	x	NOUN
ejpam-3980	138	21	,	,	PUNCT
ejpam-3980	138	22	e	e	NOUN
ejpam-3980	138	23	,	,	PUNCT
ejpam-3980	138	24	τ1	τ1	NOUN
ejpam-3980	138	25	,	,	PUNCT
ejpam-3980	138	26	τ2	τ2	PROPN
ejpam-3980	138	27	)	)	PUNCT
ejpam-3980	138	28	,	,	PUNCT
ejpam-3980	138	29	which	which	PRON
ejpam-3980	138	30	contradicts	contradict	VERB
ejpam-3980	138	31	(	(	PUNCT
ejpam-3980	138	32	ii	ii	NOUN
ejpam-3980	138	33	)	)	PUNCT
ejpam-3980	138	34	.	.	PUNCT
ejpam-3980	139	1	(	(	PUNCT
ejpam-3980	139	2	iii	iii	X
ejpam-3980	139	3	)	)	PUNCT
ejpam-3980	139	4	⇒	⇒	NOUN
ejpam-3980	139	5	(	(	PUNCT
ejpam-3980	139	6	iv	iv	NUM
ejpam-3980	139	7	):	):	PUNCT
ejpam-3980	139	8	assume	assume	VERB
ejpam-3980	139	9	1̃e	1̃e	PROPN
ejpam-3980	139	10	can	can	AUX
ejpam-3980	139	11	not	not	PART
ejpam-3980	139	12	be	be	AUX
ejpam-3980	139	13	expressed	express	VERB
ejpam-3980	139	14	as	as	ADP
ejpam-3980	139	15	the	the	DET
ejpam-3980	139	16	fuzzy	fuzzy	ADJ
ejpam-3980	139	17	soft	soft	ADJ
ejpam-3980	139	18	union	union	NOUN
ejpam-3980	139	19	of	of	ADP
ejpam-3980	139	20	two	two	NUM
ejpam-3980	139	21	fuzzy	fuzzy	ADJ
ejpam-3980	139	22	soft	soft	ADJ
ejpam-3980	139	23	disjoint	disjoint	NOUN
ejpam-3980	139	24	non	non	ADJ
ejpam-3980	139	25	-	-	ADJ
ejpam-3980	139	26	empty	empty	ADJ
ejpam-3980	139	27	(	(	PUNCT
ejpam-3980	139	28	1	1	NUM
ejpam-3980	139	29	,	,	PUNCT
ejpam-3980	139	30	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	139	31	soft	soft	ADJ
ejpam-3980	139	32	b	b	NOUN
ejpam-3980	139	33	-	-	PUNCT
ejpam-3980	139	34	open	open	ADJ
ejpam-3980	139	35	sets	set	NOUN
ejpam-3980	139	36	.	.	PUNCT
ejpam-3980	140	1	suppose	suppose	VERB
ejpam-3980	140	2	(	(	PUNCT
ejpam-3980	140	3	iv	iv	X
ejpam-3980	140	4	)	)	PUNCT
ejpam-3980	140	5	false	false	NOUN
ejpam-3980	140	6	.	.	PUNCT
ejpam-3980	141	1	then	then	ADV
ejpam-3980	141	2	(	(	PUNCT
ejpam-3980	141	3	1	1	NUM
ejpam-3980	141	4	,	,	PUNCT
ejpam-3980	141	5	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	141	6	a.	a.	NOUN
ejpam-3980	141	7	f.	f.	PROPN
ejpam-3980	141	8	sayed	sayed	PROPN
ejpam-3980	141	9	/	/	SYM
ejpam-3980	141	10	eur	eur	PROPN
ejpam-3980	141	11	.	.	PUNCT
ejpam-3980	142	1	j.	j.	PROPN
ejpam-3980	142	2	pure	pure	PROPN
ejpam-3980	142	3	appl	appl	PROPN
ejpam-3980	142	4	.	.	PROPN
ejpam-3980	142	5	math	math	PROPN
ejpam-3980	142	6	,	,	PUNCT
ejpam-3980	142	7	14	14	NUM
ejpam-3980	142	8	(	(	PUNCT
ejpam-3980	142	9	3	3	NUM
ejpam-3980	142	10	)	)	PUNCT
ejpam-3980	142	11	(	(	PUNCT
ejpam-3980	142	12	2021	2021	NUM
ejpam-3980	142	13	)	)	PUNCT
ejpam-3980	142	14	,	,	PUNCT
ejpam-3980	142	15	760	760	NUM
ejpam-3980	142	16	-	-	SYM
ejpam-3980	142	17	772	772	NUM
ejpam-3980	142	18	765	765	NUM
ejpam-3980	142	19	soft	soft	ADJ
ejpam-3980	142	20	b	b	NOUN
ejpam-3980	142	21	-	-	PUNCT
ejpam-3980	142	22	closed	closed	ADJ
ejpam-3980	142	23	sets	set	NOUN
ejpam-3980	142	24	.	.	PUNCT
ejpam-3980	143	1	then	then	ADV
ejpam-3980	143	2	fe	fe	X
ejpam-3980	143	3	=	=	SYM
ejpam-3980	143	4	1̃e	1̃e	PROPN
ejpam-3980	143	5	\	\	NOUN
ejpam-3980	143	6	ge	ge	PROPN
ejpam-3980	143	7	and	and	CCONJ
ejpam-3980	143	8	ge	ge	PROPN
ejpam-3980	144	1	=	=	PROPN
ejpam-3980	144	2	1̃e	1̃e	NUM
ejpam-3980	144	3	\	\	NOUN
ejpam-3980	144	4	fe	fe	X
ejpam-3980	144	5	are	be	AUX
ejpam-3980	144	6	fuzzy	fuzzy	ADJ
ejpam-3980	144	7	soft	soft	ADJ
ejpam-3980	144	8	disjoint	disjoint	ADJ
ejpam-3980	144	9	non	non	ADJ
ejpam-3980	144	10	-	-	ADJ
ejpam-3980	144	11	empty	empty	ADJ
ejpam-3980	144	12	(	(	PUNCT
ejpam-3980	144	13	1	1	NUM
ejpam-3980	144	14	,	,	PUNCT
ejpam-3980	144	15	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	144	16	soft	soft	ADJ
ejpam-3980	144	17	b	b	NOUN
ejpam-3980	144	18	-	-	PUNCT
ejpam-3980	144	19	open	open	ADJ
ejpam-3980	144	20	sets	set	NOUN
ejpam-3980	144	21	in	in	ADP
ejpam-3980	144	22	(	(	PUNCT
ejpam-3980	144	23	x	x	NOUN
ejpam-3980	144	24	,	,	PUNCT
ejpam-3980	144	25	e	e	NOUN
ejpam-3980	144	26	,	,	PUNCT
ejpam-3980	144	27	τ1	τ1	NOUN
ejpam-3980	144	28	,	,	PUNCT
ejpam-3980	144	29	τ2	τ2	NOUN
ejpam-3980	144	30	)	)	PUNCT
ejpam-3980	144	31	.	.	PUNCT
ejpam-3980	145	1	thus	thus	ADV
ejpam-3980	145	2	1̃e	1̃e	X
ejpam-3980	145	3	is	be	AUX
ejpam-3980	145	4	the	the	DET
ejpam-3980	145	5	fuzzy	fuzzy	ADJ
ejpam-3980	145	6	soft	soft	ADJ
ejpam-3980	145	7	union	union	NOUN
ejpam-3980	145	8	of	of	ADP
ejpam-3980	145	9	two	two	NUM
ejpam-3980	145	10	fuzzy	fuzzy	ADJ
ejpam-3980	145	11	soft	soft	ADJ
ejpam-3980	145	12	disjoint	disjoint	NOUN
ejpam-3980	145	13	non	non	ADJ
ejpam-3980	145	14	-	-	ADJ
ejpam-3980	145	15	empty	empty	ADJ
ejpam-3980	145	16	(	(	PUNCT
ejpam-3980	145	17	1	1	NUM
ejpam-3980	145	18	,	,	PUNCT
ejpam-3980	145	19	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	145	20	soft	soft	ADJ
ejpam-3980	145	21	b	b	NOUN
ejpam-3980	145	22	-	-	PUNCT
ejpam-3980	145	23	open	open	ADJ
ejpam-3980	145	24	sets	set	NOUN
ejpam-3980	145	25	.	.	PUNCT
ejpam-3980	146	1	this	this	PRON
ejpam-3980	146	2	contradicts	contradict	VERB
ejpam-3980	146	3	(	(	PUNCT
ejpam-3980	146	4	iii	iii	NOUN
ejpam-3980	146	5	)	)	PUNCT
ejpam-3980	146	6	.	.	PUNCT
ejpam-3980	147	1	(	(	PUNCT
ejpam-3980	147	2	iv	iv	X
ejpam-3980	147	3	)	)	PUNCT
ejpam-3980	147	4	⇒	⇒	NOUN
ejpam-3980	147	5	(	(	PUNCT
ejpam-3980	147	6	i	i	NOUN
ejpam-3980	147	7	):	):	PUNCT
ejpam-3980	147	8	suppose	suppose	VERB
ejpam-3980	147	9	(	(	PUNCT
ejpam-3980	147	10	x	x	X
ejpam-3980	147	11	,	,	PUNCT
ejpam-3980	147	12	e	e	NOUN
ejpam-3980	147	13	,	,	PUNCT
ejpam-3980	147	14	τ1	τ1	NOUN
ejpam-3980	147	15	,	,	PUNCT
ejpam-3980	147	16	τ2	τ2	NOUN
ejpam-3980	147	17	)	)	PUNCT
ejpam-3980	147	18	is	be	AUX
ejpam-3980	147	19	not	not	PART
ejpam-3980	147	20	(	(	PUNCT
ejpam-3980	147	21	1	1	NUM
ejpam-3980	147	22	,	,	PUNCT
ejpam-3980	147	23	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	147	24	soft	soft	ADJ
ejpam-3980	147	25	b	b	NOUN
ejpam-3980	147	26	-	-	PUNCT
ejpam-3980	147	27	connected	connect	VERB
ejpam-3980	147	28	space	space	NOUN
ejpam-3980	147	29	.	.	PUNCT
ejpam-3980	148	1	then	then	ADV
ejpam-3980	148	2	1̃e	1̃e	X
ejpam-3980	148	3	=	=	SYM
ejpam-3980	148	4	fe∪̃ge	fe∪̃ge	NOUN
ejpam-3980	148	5	where	where	SCONJ
ejpam-3980	148	6	fe	fe	X
ejpam-3980	148	7	and	and	CCONJ
ejpam-3980	148	8	ge	ge	PROPN
ejpam-3980	148	9	are	be	AUX
ejpam-3980	148	10	fuzzy	fuzzy	ADJ
ejpam-3980	148	11	soft	soft	ADJ
ejpam-3980	148	12	disjoint	disjoint	ADJ
ejpam-3980	148	13	non	non	ADJ
ejpam-3980	148	14	-	-	ADJ
ejpam-3980	148	15	empty	empty	ADJ
ejpam-3980	148	16	(	(	PUNCT
ejpam-3980	148	17	1	1	NUM
ejpam-3980	148	18	,	,	PUNCT
ejpam-3980	148	19	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	148	20	soft	soft	ADJ
ejpam-3980	148	21	b	b	NOUN
ejpam-3980	148	22	-	-	PUNCT
ejpam-3980	148	23	open	open	ADJ
ejpam-3980	148	24	sets	set	NOUN
ejpam-3980	148	25	.	.	PUNCT
ejpam-3980	149	1	then	then	ADV
ejpam-3980	149	2	fe	fe	X
ejpam-3980	149	3	=	=	SYM
ejpam-3980	149	4	1̃e	1̃e	PROPN
ejpam-3980	149	5	\	\	NOUN
ejpam-3980	149	6	ge	ge	PROPN
ejpam-3980	149	7	and	and	CCONJ
ejpam-3980	149	8	ge	ge	PROPN
ejpam-3980	150	1	=	=	PROPN
ejpam-3980	150	2	1̃e	1̃e	NUM
ejpam-3980	150	3	\	\	NOUN
ejpam-3980	150	4	fe	fe	X
ejpam-3980	150	5	are	be	AUX
ejpam-3980	150	6	fuzzy	fuzzy	ADJ
ejpam-3980	150	7	soft	soft	ADJ
ejpam-3980	150	8	disjoint	disjoint	ADJ
ejpam-3980	150	9	non	non	ADJ
ejpam-3980	150	10	-	-	ADJ
ejpam-3980	150	11	empty	empty	ADJ
ejpam-3980	150	12	(	(	PUNCT
ejpam-3980	150	13	1	1	NUM
ejpam-3980	150	14	,	,	PUNCT
ejpam-3980	150	15	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	150	16	soft	soft	ADJ
ejpam-3980	150	17	b	b	NOUN
ejpam-3980	150	18	-	-	PUNCT
ejpam-3980	150	19	closed	closed	ADJ
ejpam-3980	150	20	sets	set	NOUN
ejpam-3980	150	21	in	in	ADP
ejpam-3980	150	22	(	(	PUNCT
ejpam-3980	150	23	x	x	NOUN
ejpam-3980	150	24	,	,	PUNCT
ejpam-3980	150	25	e	e	NOUN
ejpam-3980	150	26	,	,	PUNCT
ejpam-3980	150	27	τ1	τ1	NOUN
ejpam-3980	150	28	,	,	PUNCT
ejpam-3980	150	29	τ2	τ2	NOUN
ejpam-3980	150	30	)	)	PUNCT
ejpam-3980	150	31	.	.	PUNCT
ejpam-3980	151	1	this	this	PRON
ejpam-3980	151	2	is	be	AUX
ejpam-3980	151	3	a	a	DET
ejpam-3980	151	4	contradiction	contradiction	NOUN
ejpam-3980	151	5	to	to	ADP
ejpam-3980	151	6	(	(	PUNCT
ejpam-3980	151	7	iv	iv	X
ejpam-3980	151	8	)	)	PUNCT
ejpam-3980	151	9	.	.	PUNCT
ejpam-3980	152	1	proposition	proposition	NOUN
ejpam-3980	152	2	1	1	NUM
ejpam-3980	152	3	.	.	PUNCT
ejpam-3980	153	1	every	every	DET
ejpam-3980	153	2	(	(	PUNCT
ejpam-3980	153	3	1	1	NUM
ejpam-3980	153	4	,	,	PUNCT
ejpam-3980	153	5	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	153	6	soft	soft	ADJ
ejpam-3980	153	7	b	b	NOUN
ejpam-3980	153	8	-	-	PUNCT
ejpam-3980	153	9	connected	connect	VERB
ejpam-3980	153	10	space	space	NOUN
ejpam-3980	153	11	is	be	AUX
ejpam-3980	153	12	(	(	PUNCT
ejpam-3980	153	13	1	1	NUM
ejpam-3980	153	14	,	,	PUNCT
ejpam-3980	153	15	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	153	16	soft	soft	ADJ
ejpam-3980	153	17	connected	connect	VERB
ejpam-3980	153	18	.	.	PUNCT
ejpam-3980	154	1	proof	proof	NOUN
ejpam-3980	154	2	.	.	PUNCT
ejpam-3980	155	1	let	let	VERB
ejpam-3980	155	2	fe	fe	X
ejpam-3980	155	3	be	be	AUX
ejpam-3980	155	4	a	a	DET
ejpam-3980	155	5	(	(	PUNCT
ejpam-3980	155	6	1	1	NUM
ejpam-3980	155	7	,	,	PUNCT
ejpam-3980	155	8	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	155	9	soft	soft	ADJ
ejpam-3980	155	10	b	b	NOUN
ejpam-3980	155	11	-	-	PUNCT
ejpam-3980	155	12	connected	connect	VERB
ejpam-3980	155	13	set	set	NOUN
ejpam-3980	155	14	in	in	ADP
ejpam-3980	155	15	the	the	DET
ejpam-3980	155	16	fuzzy	fuzzy	ADJ
ejpam-3980	155	17	soft	soft	ADJ
ejpam-3980	155	18	bitopological	bitopological	ADJ
ejpam-3980	155	19	space	space	NOUN
ejpam-3980	155	20	(	(	PUNCT
ejpam-3980	155	21	x	x	X
ejpam-3980	155	22	,	,	PUNCT
ejpam-3980	155	23	e	e	NOUN
ejpam-3980	155	24	,	,	PUNCT
ejpam-3980	155	25	τ1	τ1	NOUN
ejpam-3980	155	26	,	,	PUNCT
ejpam-3980	155	27	τ2	τ2	NOUN
ejpam-3980	155	28	)	)	PUNCT
ejpam-3980	155	29	.	.	PUNCT
ejpam-3980	156	1	then	then	ADV
ejpam-3980	156	2	there	there	PRON
ejpam-3980	156	3	does	do	AUX
ejpam-3980	156	4	not	not	PART
ejpam-3980	156	5	exist	exist	VERB
ejpam-3980	156	6	a	a	DET
ejpam-3980	156	7	(	(	PUNCT
ejpam-3980	156	8	1	1	NUM
ejpam-3980	156	9	,	,	PUNCT
ejpam-3980	156	10	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	156	11	soft	soft	ADJ
ejpam-3980	156	12	b	b	NOUN
ejpam-3980	156	13	-	-	PUNCT
ejpam-3980	156	14	separation	separation	NOUN
ejpam-3980	156	15	of	of	ADP
ejpam-3980	156	16	fe	fe	NOUN
ejpam-3980	156	17	.	.	PUNCT
ejpam-3980	157	1	since	since	SCONJ
ejpam-3980	157	2	every	every	DET
ejpam-3980	157	3	τ1τ2	τ1τ2	ADJ
ejpam-3980	157	4	-	-	ADJ
ejpam-3980	157	5	fuzzy	fuzzy	ADJ
ejpam-3980	157	6	soft	soft	ADJ
ejpam-3980	157	7	open	open	ADJ
ejpam-3980	157	8	set	set	NOUN
ejpam-3980	157	9	is	be	AUX
ejpam-3980	157	10	a	a	DET
ejpam-3980	157	11	(	(	PUNCT
ejpam-3980	157	12	1	1	NUM
ejpam-3980	157	13	,	,	PUNCT
ejpam-3980	157	14	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	157	15	soft	soft	ADJ
ejpam-3980	157	16	b	b	NOUN
ejpam-3980	157	17	-	-	PUNCT
ejpam-3980	157	18	open	open	ADJ
ejpam-3980	157	19	set	set	NOUN
ejpam-3980	157	20	,	,	PUNCT
ejpam-3980	157	21	there	there	PRON
ejpam-3980	157	22	does	do	AUX
ejpam-3980	157	23	not	not	PART
ejpam-3980	157	24	exist	exist	VERB
ejpam-3980	157	25	a	a	DET
ejpam-3980	157	26	(	(	PUNCT
ejpam-3980	157	27	1	1	NUM
ejpam-3980	157	28	,	,	PUNCT
ejpam-3980	157	29	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	157	30	soft	soft	ADJ
ejpam-3980	157	31	separation	separation	NOUN
ejpam-3980	157	32	of	of	ADP
ejpam-3980	157	33	fe	fe	NOUN
ejpam-3980	157	34	.	.	PUNCT
ejpam-3980	158	1	hence	hence	ADV
ejpam-3980	158	2	fe	fe	PROPN
ejpam-3980	158	3	is	be	AUX
ejpam-3980	158	4	a	a	DET
ejpam-3980	158	5	(	(	PUNCT
ejpam-3980	158	6	1	1	NUM
ejpam-3980	158	7	,	,	PUNCT
ejpam-3980	158	8	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	158	9	soft	soft	ADJ
ejpam-3980	158	10	connected	connected	ADJ
ejpam-3980	158	11	set	set	VERB
ejpam-3980	158	12	in	in	ADP
ejpam-3980	158	13	the	the	DET
ejpam-3980	158	14	fuzzy	fuzzy	ADJ
ejpam-3980	158	15	soft	soft	ADJ
ejpam-3980	158	16	bitopological	bitopological	ADJ
ejpam-3980	158	17	space	space	NOUN
ejpam-3980	158	18	(	(	PUNCT
ejpam-3980	158	19	x	x	X
ejpam-3980	158	20	,	,	PUNCT
ejpam-3980	158	21	e	e	NOUN
ejpam-3980	158	22	,	,	PUNCT
ejpam-3980	158	23	τ1	τ1	NOUN
ejpam-3980	158	24	,	,	PUNCT
ejpam-3980	158	25	τ2	τ2	NOUN
ejpam-3980	158	26	)	)	PUNCT
ejpam-3980	158	27	.	.	PUNCT
ejpam-3980	159	1	the	the	DET
ejpam-3980	159	2	converse	converse	NOUN
ejpam-3980	159	3	is	be	AUX
ejpam-3980	159	4	not	not	PART
ejpam-3980	159	5	true	true	ADJ
ejpam-3980	159	6	as	as	SCONJ
ejpam-3980	159	7	shown	show	VERB
ejpam-3980	159	8	in	in	ADP
ejpam-3980	159	9	the	the	DET
ejpam-3980	159	10	following	follow	VERB
ejpam-3980	159	11	example	example	NOUN
ejpam-3980	159	12	.	.	PUNCT
ejpam-3980	160	1	example	example	NOUN
ejpam-3980	161	1	1	1	NUM
ejpam-3980	161	2	.	.	PUNCT
ejpam-3980	161	3	(	(	PUNCT
ejpam-3980	161	4	1	1	NUM
ejpam-3980	161	5	,	,	PUNCT
ejpam-3980	161	6	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	161	7	soft	soft	ADJ
ejpam-3980	161	8	connectedness	connectedness	NOUN
ejpam-3980	161	9	does	do	AUX
ejpam-3980	161	10	not	not	PART
ejpam-3980	161	11	imply	imply	VERB
ejpam-3980	161	12	(	(	PUNCT
ejpam-3980	161	13	1	1	NUM
ejpam-3980	161	14	,	,	PUNCT
ejpam-3980	161	15	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	161	16	soft	soft	ADJ
ejpam-3980	161	17	bconnectedness	bconnectedness	ADJ
ejpam-3980	161	18	.	.	PUNCT
ejpam-3980	162	1	let	let	VERB
ejpam-3980	162	2	(	(	PUNCT
ejpam-3980	162	3	x	x	X
ejpam-3980	162	4	,	,	PUNCT
ejpam-3980	162	5	e	e	NOUN
ejpam-3980	162	6	,	,	PUNCT
ejpam-3980	162	7	τ1	τ1	NOUN
ejpam-3980	162	8	,	,	PUNCT
ejpam-3980	162	9	τ2	τ2	PROPN
ejpam-3980	162	10	)	)	PUNCT
ejpam-3980	162	11	be	be	VERB
ejpam-3980	162	12	a	a	DET
ejpam-3980	162	13	fuzzy	fuzzy	ADJ
ejpam-3980	162	14	soft	soft	ADJ
ejpam-3980	162	15	bitopological	bitopological	ADJ
ejpam-3980	162	16	space	space	NOUN
ejpam-3980	162	17	,	,	PUNCT
ejpam-3980	162	18	where	where	SCONJ
ejpam-3980	162	19	x	x	X
ejpam-3980	162	20	=	=	PRON
ejpam-3980	162	21	{	{	PUNCT
ejpam-3980	162	22	x	x	PROPN
ejpam-3980	162	23	,	,	PUNCT
ejpam-3980	162	24	y	y	PROPN
ejpam-3980	162	25	}	}	PUNCT
ejpam-3980	162	26	,	,	PUNCT
ejpam-3980	162	27	e	e	X
ejpam-3980	162	28	=	=	PRON
ejpam-3980	162	29	{	{	PUNCT
ejpam-3980	162	30	e1	e1	PROPN
ejpam-3980	162	31	,	,	PUNCT
ejpam-3980	162	32	e2	e2	NOUN
ejpam-3980	162	33	}	}	PUNCT
ejpam-3980	162	34	and	and	CCONJ
ejpam-3980	162	35	let	let	VERB
ejpam-3980	162	36	τ1	τ1	VERB
ejpam-3980	162	37	=	=	SYM
ejpam-3980	162	38	{	{	PUNCT
ejpam-3980	162	39	0̃e	0̃e	INTJ
ejpam-3980	162	40	,	,	PUNCT
ejpam-3980	162	41	1̃e	1̃e	PROPN
ejpam-3980	162	42	,	,	PUNCT
ejpam-3980	162	43	f1e	f1e	PROPN
ejpam-3980	162	44	,	,	PUNCT
ejpam-3980	162	45	f2e	f2e	PROPN
ejpam-3980	162	46	,	,	PUNCT
ejpam-3980	162	47	f3e	f3e	PROPN
ejpam-3980	162	48	}	}	PUNCT
ejpam-3980	162	49	,	,	PUNCT
ejpam-3980	162	50	τ2	τ2	NOUN
ejpam-3980	162	51	=	=	SYM
ejpam-3980	162	52	{	{	PUNCT
ejpam-3980	162	53	0̃e	0̃e	INTJ
ejpam-3980	162	54	,	,	PUNCT
ejpam-3980	162	55	1̃e	1̃e	PROPN
ejpam-3980	162	56	,	,	PUNCT
ejpam-3980	162	57	g1e	g1e	PROPN
ejpam-3980	162	58	,	,	PUNCT
ejpam-3980	162	59	g2e	g2e	PROPN
ejpam-3980	162	60	}	}	PUNCT
ejpam-3980	162	61	,	,	PUNCT
ejpam-3980	162	62	where	where	SCONJ
ejpam-3980	162	63	f1e	f1e	PROPN
ejpam-3980	162	64	=	=	PUNCT
ejpam-3980	162	65	{	{	PUNCT
ejpam-3980	162	66	f1(e1	f1(e1	PROPN
ejpam-3980	162	67	)	)	PUNCT
ejpam-3980	162	68	=	=	PRON
ejpam-3980	162	69	{	{	PUNCT
ejpam-3980	162	70	x/0.2	x/0.2	ADV
ejpam-3980	162	71	,	,	PUNCT
ejpam-3980	162	72	y/0.0	y/0.0	VERB
ejpam-3980	162	73	}	}	PUNCT
ejpam-3980	162	74	,	,	PUNCT
ejpam-3980	162	75	f1(e2	f1(e2	NOUN
ejpam-3980	162	76	)	)	PUNCT
ejpam-3980	162	77	=	=	PRON
ejpam-3980	163	1	{	{	PUNCT
ejpam-3980	163	2	x/0.0	x/0.0	ADJ
ejpam-3980	163	3	,	,	PUNCT
ejpam-3980	163	4	y/0.0	y/0.0	VERB
ejpam-3980	163	5	}	}	PUNCT
ejpam-3980	163	6	=	=	SYM
ejpam-3980	163	7	0̃	0̃	NOUN
ejpam-3980	163	8	}	}	PUNCT
ejpam-3980	163	9	,	,	PUNCT
ejpam-3980	163	10	f2e	f2e	PROPN
ejpam-3980	163	11	=	=	SYM
ejpam-3980	163	12	{	{	PUNCT
ejpam-3980	163	13	f2(e1	f2(e1	NOUN
ejpam-3980	163	14	)	)	PUNCT
ejpam-3980	163	15	=	=	PRON
ejpam-3980	163	16	{	{	PUNCT
ejpam-3980	163	17	x/0.2	x/0.2	ADV
ejpam-3980	163	18	,	,	PUNCT
ejpam-3980	163	19	y/0.0	y/0.0	VERB
ejpam-3980	163	20	}	}	PUNCT
ejpam-3980	163	21	,	,	PUNCT
ejpam-3980	163	22	f2(e2	f2(e2	NOUN
ejpam-3980	163	23	)	)	PUNCT
ejpam-3980	163	24	=	=	PRON
ejpam-3980	163	25	{	{	PUNCT
ejpam-3980	163	26	x/0.7	x/0.7	NOUN
ejpam-3980	163	27	,	,	PUNCT
ejpam-3980	163	28	y/0.0	y/0.0	VERB
ejpam-3980	163	29	}	}	PUNCT
ejpam-3980	163	30	}	}	PUNCT
ejpam-3980	163	31	,	,	PUNCT
ejpam-3980	163	32	f3e	f3e	PROPN
ejpam-3980	163	33	=	=	PRON
ejpam-3980	163	34	{	{	PUNCT
ejpam-3980	163	35	f3(e1	f3(e1	NOUN
ejpam-3980	163	36	)	)	PUNCT
ejpam-3980	163	37	=	=	SYM
ejpam-3980	163	38	{	{	PUNCT
ejpam-3980	163	39	x/0.2	x/0.2	ADV
ejpam-3980	163	40	,	,	PUNCT
ejpam-3980	163	41	y/0.1	y/0.1	PROPN
ejpam-3980	163	42	}	}	PUNCT
ejpam-3980	163	43	,	,	PUNCT
ejpam-3980	163	44	f3(e2	f3(e2	PROPN
ejpam-3980	163	45	)	)	PUNCT
ejpam-3980	163	46	=	=	PRON
ejpam-3980	163	47	{	{	PUNCT
ejpam-3980	163	48	x/0.7	x/0.7	NOUN
ejpam-3980	163	49	,	,	PUNCT
ejpam-3980	163	50	y/0.0	y/0.0	VERB
ejpam-3980	163	51	}	}	PUNCT
ejpam-3980	163	52	}	}	PUNCT
ejpam-3980	163	53	,	,	PUNCT
ejpam-3980	163	54	g1e	g1e	PROPN
ejpam-3980	163	55	=	=	PUNCT
ejpam-3980	163	56	{	{	PUNCT
ejpam-3980	163	57	g1(e1	g1(e1	NOUN
ejpam-3980	163	58	)	)	PUNCT
ejpam-3980	163	59	=	=	PRON
ejpam-3980	163	60	{	{	PUNCT
ejpam-3980	163	61	x/0.0	x/0.0	ADJ
ejpam-3980	163	62	,	,	PUNCT
ejpam-3980	163	63	y/0.0	y/0.0	VERB
ejpam-3980	163	64	}	}	PUNCT
ejpam-3980	163	65	=	=	SYM
ejpam-3980	163	66	0̃	0̃	NOUN
ejpam-3980	163	67	,	,	PUNCT
ejpam-3980	163	68	g1(e2	g1(e2	NOUN
ejpam-3980	163	69	)	)	PUNCT
ejpam-3980	163	70	=	=	PRON
ejpam-3980	163	71	{	{	PUNCT
ejpam-3980	163	72	x/0.7	x/0.7	NOUN
ejpam-3980	163	73	,	,	PUNCT
ejpam-3980	163	74	y/0.0	y/0.0	VERB
ejpam-3980	163	75	}	}	PUNCT
ejpam-3980	163	76	}	}	PUNCT
ejpam-3980	163	77	and	and	CCONJ
ejpam-3980	163	78	g2e	g2e	PROPN
ejpam-3980	163	79	=	=	SYM
ejpam-3980	163	80	{	{	PUNCT
ejpam-3980	163	81	g2(e1	g2(e1	NOUN
ejpam-3980	163	82	)	)	PUNCT
ejpam-3980	163	83	=	=	PUNCT
ejpam-3980	163	84	{	{	PUNCT
ejpam-3980	163	85	x/0.0	x/0.0	ADJ
ejpam-3980	163	86	,	,	PUNCT
ejpam-3980	163	87	y/0.0	y/0.0	VERB
ejpam-3980	163	88	}	}	PUNCT
ejpam-3980	163	89	=	=	SYM
ejpam-3980	163	90	0̃	0̃	NOUN
ejpam-3980	163	91	,	,	PUNCT
ejpam-3980	163	92	g2(e2	g2(e2	NOUN
ejpam-3980	163	93	)	)	PUNCT
ejpam-3980	163	94	=	=	PUNCT
ejpam-3980	163	95	{	{	PUNCT
ejpam-3980	163	96	x/0.0	x/0.0	ADJ
ejpam-3980	163	97	,	,	PUNCT
ejpam-3980	163	98	y/0.4	y/0.4	NOUN
ejpam-3980	163	99	}	}	PUNCT
ejpam-3980	163	100	}	}	PUNCT
ejpam-3980	163	101	.	.	PUNCT
ejpam-3980	164	1	then	then	ADV
ejpam-3980	164	2	τ1τ2	τ1τ2	ADJ
ejpam-3980	164	3	-	-	ADJ
ejpam-3980	164	4	fuzzy	fuzzy	ADJ
ejpam-3980	164	5	soft	soft	ADJ
ejpam-3980	164	6	open	open	ADJ
ejpam-3980	164	7	sets	set	NOUN
ejpam-3980	164	8	are	be	AUX
ejpam-3980	164	9	{	{	PUNCT
ejpam-3980	164	10	0̃e	0̃e	INTJ
ejpam-3980	164	11	,	,	PUNCT
ejpam-3980	164	12	1̃e	1̃e	PROPN
ejpam-3980	164	13	,	,	PUNCT
ejpam-3980	164	14	f1e	f1e	PROPN
ejpam-3980	164	15	,	,	PUNCT
ejpam-3980	164	16	f2e	f2e	PROPN
ejpam-3980	164	17	,	,	PUNCT
ejpam-3980	164	18	f3e	f3e	INTJ
ejpam-3980	164	19	,	,	PUNCT
ejpam-3980	164	20	g1e	g1e	PROPN
ejpam-3980	164	21	,	,	PUNCT
ejpam-3980	164	22	g2e	g2e	PROPN
ejpam-3980	164	23	}	}	PUNCT
ejpam-3980	164	24	and	and	CCONJ
ejpam-3980	164	25	τ1τ2	τ1τ2	ADJ
ejpam-3980	164	26	-	-	ADJ
ejpam-3980	164	27	fuzzy	fuzzy	ADJ
ejpam-3980	164	28	soft	soft	ADJ
ejpam-3980	164	29	closed	closed	ADJ
ejpam-3980	164	30	sets	set	NOUN
ejpam-3980	164	31	are	be	AUX
ejpam-3980	164	32	{	{	PUNCT
ejpam-3980	164	33	0̃e	0̃e	INTJ
ejpam-3980	164	34	,	,	PUNCT
ejpam-3980	164	35	1̃e	1̃e	PROPN
ejpam-3980	164	36	,	,	PUNCT
ejpam-3980	164	37	f	f	PROPN
ejpam-3980	164	38	c1e	c1e	PROPN
ejpam-3980	164	39	,	,	PUNCT
ejpam-3980	164	40	f	f	PROPN
ejpam-3980	164	41	c	c	PROPN
ejpam-3980	164	42	2e	2e	PROPN
ejpam-3980	164	43	,	,	PUNCT
ejpam-3980	164	44	f	f	PROPN
ejpam-3980	164	45	c3e	c3e	PROPN
ejpam-3980	164	46	,	,	PUNCT
ejpam-3980	164	47	g	g	PROPN
ejpam-3980	164	48	c	c	PROPN
ejpam-3980	164	49	1e	1e	NOUN
ejpam-3980	164	50	,	,	PUNCT
ejpam-3980	164	51	gc2e	gc2e	PROPN
ejpam-3980	164	52	}	}	PUNCT
ejpam-3980	164	53	where	where	SCONJ
ejpam-3980	164	54	f	f	PROPN
ejpam-3980	164	55	c1e	c1e	PROPN
ejpam-3980	164	56	=	=	SYM
ejpam-3980	164	57	{	{	PUNCT
ejpam-3980	164	58	f1(e1	f1(e1	PROPN
ejpam-3980	164	59	)	)	PUNCT
ejpam-3980	164	60	=	=	PRON
ejpam-3980	165	1	{	{	PUNCT
ejpam-3980	165	2	x/0.0	x/0.0	PROPN
ejpam-3980	165	3	,	,	PUNCT
ejpam-3980	165	4	y/0.1	y/0.1	PROPN
ejpam-3980	165	5	}	}	PUNCT
ejpam-3980	165	6	,	,	PUNCT
ejpam-3980	165	7	f1(e2	f1(e2	NOUN
ejpam-3980	165	8	)	)	PUNCT
ejpam-3980	165	9	=	=	PRON
ejpam-3980	166	1	{	{	PUNCT
ejpam-3980	166	2	x/0.7	x/0.7	NOUN
ejpam-3980	166	3	,	,	PUNCT
ejpam-3980	166	4	y/0.4	y/0.4	NOUN
ejpam-3980	166	5	}	}	PUNCT
ejpam-3980	166	6	}	}	PUNCT
ejpam-3980	166	7	,	,	PUNCT
ejpam-3980	166	8	f	f	PROPN
ejpam-3980	166	9	c2e	c2e	NOUN
ejpam-3980	166	10	=	=	PRON
ejpam-3980	166	11	{	{	PUNCT
ejpam-3980	166	12	f2(e1	f2(e1	NOUN
ejpam-3980	166	13	)	)	PUNCT
ejpam-3980	166	14	=	=	PRON
ejpam-3980	166	15	{	{	PUNCT
ejpam-3980	166	16	x/0.0	x/0.0	PROPN
ejpam-3980	166	17	,	,	PUNCT
ejpam-3980	166	18	y/0.1	y/0.1	PROPN
ejpam-3980	166	19	}	}	PUNCT
ejpam-3980	166	20	,	,	PUNCT
ejpam-3980	166	21	f2(e2	f2(e2	NOUN
ejpam-3980	166	22	)	)	PUNCT
ejpam-3980	166	23	=	=	PRON
ejpam-3980	166	24	{	{	PUNCT
ejpam-3980	166	25	x/0.0	x/0.0	ADJ
ejpam-3980	166	26	,	,	PUNCT
ejpam-3980	166	27	y/0.4	y/0.4	NOUN
ejpam-3980	166	28	}	}	PUNCT
ejpam-3980	166	29	}	}	PUNCT
ejpam-3980	166	30	,	,	PUNCT
ejpam-3980	166	31	f	f	PROPN
ejpam-3980	166	32	c3e	c3e	PROPN
ejpam-3980	166	33	=	=	PUNCT
ejpam-3980	166	34	{	{	PUNCT
ejpam-3980	166	35	f3(e1	f3(e1	NOUN
ejpam-3980	166	36	)	)	PUNCT
ejpam-3980	167	1	=	=	SYM
ejpam-3980	167	2	{	{	PUNCT
ejpam-3980	167	3	x/0.0	x/0.0	ADJ
ejpam-3980	167	4	,	,	PUNCT
ejpam-3980	167	5	y/0.0	y/0.0	VERB
ejpam-3980	167	6	}	}	PUNCT
ejpam-3980	167	7	=	=	SYM
ejpam-3980	167	8	0̃	0̃	NOUN
ejpam-3980	167	9	,	,	PUNCT
ejpam-3980	167	10	f3(e2	f3(e2	NOUN
ejpam-3980	167	11	)	)	PUNCT
ejpam-3980	167	12	=	=	PRON
ejpam-3980	167	13	{	{	PUNCT
ejpam-3980	167	14	x/0.0	x/0.0	ADJ
ejpam-3980	167	15	,	,	PUNCT
ejpam-3980	167	16	y/0.4	y/0.4	NOUN
ejpam-3980	167	17	}	}	PUNCT
ejpam-3980	167	18	}	}	PUNCT
ejpam-3980	167	19	gc1e	gc1e	NOUN
ejpam-3980	167	20	=	=	PUNCT
ejpam-3980	167	21	{	{	PUNCT
ejpam-3980	167	22	g1(e1	g1(e1	NOUN
ejpam-3980	167	23	)	)	PUNCT
ejpam-3980	167	24	=	=	PRON
ejpam-3980	167	25	{	{	PUNCT
ejpam-3980	167	26	x/0.2	x/0.2	ADV
ejpam-3980	167	27	,	,	PUNCT
ejpam-3980	167	28	y/0.1	y/0.1	PROPN
ejpam-3980	167	29	}	}	PUNCT
ejpam-3980	167	30	,	,	PUNCT
ejpam-3980	167	31	g1(e2	g1(e2	NOUN
ejpam-3980	167	32	)	)	PUNCT
ejpam-3980	167	33	=	=	NOUN
ejpam-3980	167	34	{	{	PUNCT
ejpam-3980	167	35	x/0.0	x/0.0	ADJ
ejpam-3980	167	36	,	,	PUNCT
ejpam-3980	167	37	y/0.4	y/0.4	NOUN
ejpam-3980	167	38	}	}	PUNCT
ejpam-3980	167	39	}	}	PUNCT
ejpam-3980	167	40	and	and	CCONJ
ejpam-3980	167	41	gc2e	gc2e	PROPN
ejpam-3980	167	42	=	=	SYM
ejpam-3980	167	43	{	{	PUNCT
ejpam-3980	167	44	g2(e1	g2(e1	NOUN
ejpam-3980	167	45	)	)	PUNCT
ejpam-3980	167	46	=	=	SYM
ejpam-3980	167	47	{	{	PUNCT
ejpam-3980	167	48	x/0.2	x/0.2	ADV
ejpam-3980	167	49	,	,	PUNCT
ejpam-3980	167	50	y/0.1	y/0.1	PROPN
ejpam-3980	167	51	}	}	PUNCT
ejpam-3980	167	52	,	,	PUNCT
ejpam-3980	167	53	g2(e2	g2(e2	NOUN
ejpam-3980	167	54	)	)	PUNCT
ejpam-3980	167	55	=	=	PRON
ejpam-3980	167	56	{	{	PUNCT
ejpam-3980	167	57	x/0.7	x/0.7	NOUN
ejpam-3980	167	58	,	,	PUNCT
ejpam-3980	167	59	y/0.0	y/0.0	VERB
ejpam-3980	167	60	}	}	PUNCT
ejpam-3980	167	61	}	}	PUNCT
ejpam-3980	167	62	.	.	PUNCT
ejpam-3980	168	1	it	it	PRON
ejpam-3980	168	2	is	be	AUX
ejpam-3980	168	3	clear	clear	ADJ
ejpam-3980	168	4	that	that	SCONJ
ejpam-3980	168	5	(	(	PUNCT
ejpam-3980	168	6	x	x	X
ejpam-3980	168	7	,	,	PUNCT
ejpam-3980	168	8	e	e	NOUN
ejpam-3980	168	9	,	,	PUNCT
ejpam-3980	168	10	τ1	τ1	NOUN
ejpam-3980	168	11	,	,	PUNCT
ejpam-3980	168	12	τ2	τ2	NOUN
ejpam-3980	168	13	)	)	PUNCT
ejpam-3980	168	14	is	be	AUX
ejpam-3980	168	15	(	(	PUNCT
ejpam-3980	168	16	1	1	NUM
ejpam-3980	168	17	,	,	PUNCT
ejpam-3980	168	18	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	168	19	soft	soft	ADJ
ejpam-3980	168	20	connected	connect	VERB
ejpam-3980	168	21	since	since	SCONJ
ejpam-3980	168	22	the	the	DET
ejpam-3980	168	23	only	only	ADJ
ejpam-3980	168	24	(	(	PUNCT
ejpam-3980	168	25	1	1	NUM
ejpam-3980	168	26	,	,	PUNCT
ejpam-3980	168	27	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	168	28	soft	soft	ADJ
ejpam-3980	168	29	clopen	clopen	ADJ
ejpam-3980	168	30	sets	set	NOUN
ejpam-3980	168	31	are	be	AUX
ejpam-3980	168	32	0̃e	0̃e	PROPN
ejpam-3980	168	33	,	,	PUNCT
ejpam-3980	168	34	1̃e	1̃e	PROPN
ejpam-3980	168	35	.	.	PUNCT
ejpam-3980	169	1	also	also	ADV
ejpam-3980	169	2	(	(	PUNCT
ejpam-3980	169	3	1	1	NUM
ejpam-3980	169	4	,	,	PUNCT
ejpam-3980	169	5	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	169	6	soft	soft	ADJ
ejpam-3980	169	7	b	b	NOUN
ejpam-3980	169	8	-	-	PUNCT
ejpam-3980	169	9	open	open	ADJ
ejpam-3980	169	10	sets	set	NOUN
ejpam-3980	169	11	are	be	AUX
ejpam-3980	169	12	{	{	PUNCT
ejpam-3980	169	13	0̃e	0̃e	INTJ
ejpam-3980	169	14	,	,	PUNCT
ejpam-3980	169	15	1̃e	1̃e	PROPN
ejpam-3980	169	16	,	,	PUNCT
ejpam-3980	169	17	f1e	f1e	PROPN
ejpam-3980	169	18	,	,	PUNCT
ejpam-3980	169	19	f2e	f2e	PROPN
ejpam-3980	169	20	,	,	PUNCT
ejpam-3980	169	21	f3e	f3e	INTJ
ejpam-3980	169	22	,	,	PUNCT
ejpam-3980	169	23	f4e	f4e	PROPN
ejpam-3980	169	24	,	,	PUNCT
ejpam-3980	169	25	f5e	f5e	PROPN
ejpam-3980	169	26	,	,	PUNCT
ejpam-3980	169	27	g1e	g1e	PROPN
ejpam-3980	169	28	,	,	PUNCT
ejpam-3980	169	29	g2e	g2e	PROPN
ejpam-3980	169	30	,	,	PUNCT
ejpam-3980	169	31	g3e	g3e	PROPN
ejpam-3980	169	32	,	,	PUNCT
ejpam-3980	169	33	g4e	g4e	PROPN
ejpam-3980	169	34	}	}	PUNCT
ejpam-3980	169	35	,	,	PUNCT
ejpam-3980	169	36	where	where	SCONJ
ejpam-3980	169	37	f1e	f1e	PROPN
ejpam-3980	169	38	,	,	PUNCT
ejpam-3980	169	39	f2e	f2e	PROPN
ejpam-3980	169	40	,	,	PUNCT
ejpam-3980	169	41	f3e	f3e	PROPN
ejpam-3980	169	42	,	,	PUNCT
ejpam-3980	169	43	g1e	g1e	PROPN
ejpam-3980	169	44	and	and	CCONJ
ejpam-3980	169	45	g2e	g2e	PROPN
ejpam-3980	169	46	}	}	PUNCT
ejpam-3980	169	47	are	be	AUX
ejpam-3980	169	48	defined	define	VERB
ejpam-3980	169	49	as	as	ADP
ejpam-3980	169	50	above	above	ADV
ejpam-3980	169	51	and	and	CCONJ
ejpam-3980	169	52	f4e	f4e	NOUN
ejpam-3980	169	53	=	=	SYM
ejpam-3980	169	54	{	{	PUNCT
ejpam-3980	169	55	f4(e1	f4(e1	NOUN
ejpam-3980	169	56	)	)	PUNCT
ejpam-3980	169	57	=	=	NOUN
ejpam-3980	169	58	{	{	PUNCT
ejpam-3980	169	59	x/0.0	x/0.0	PROPN
ejpam-3980	169	60	,	,	PUNCT
ejpam-3980	169	61	y/0.1	y/0.1	PROPN
ejpam-3980	169	62	}	}	PUNCT
ejpam-3980	169	63	,	,	PUNCT
ejpam-3980	169	64	f4(e2	f4(e2	NUM
ejpam-3980	169	65	)	)	PUNCT
ejpam-3980	169	66	=	=	PRON
ejpam-3980	169	67	{	{	PUNCT
ejpam-3980	169	68	x/0.7	x/0.7	NOUN
ejpam-3980	169	69	,	,	PUNCT
ejpam-3980	169	70	y/0.4	y/0.4	NOUN
ejpam-3980	169	71	}	}	PUNCT
ejpam-3980	169	72	}	}	PUNCT
ejpam-3980	169	73	,	,	PUNCT
ejpam-3980	169	74	f5e	f5e	PROPN
ejpam-3980	169	75	=	=	PUNCT
ejpam-3980	169	76	{	{	PUNCT
ejpam-3980	169	77	f5(e1	f5(e1	NOUN
ejpam-3980	169	78	)	)	PUNCT
ejpam-3980	169	79	=	=	PRON
ejpam-3980	169	80	{	{	PUNCT
ejpam-3980	169	81	x/0.0	x/0.0	PROPN
ejpam-3980	169	82	,	,	PUNCT
ejpam-3980	169	83	y/0.1	y/0.1	PROPN
ejpam-3980	169	84	}	}	PUNCT
ejpam-3980	169	85	,	,	PUNCT
ejpam-3980	169	86	f5(e2	f5(e2	NOUN
ejpam-3980	169	87	)	)	PUNCT
ejpam-3980	169	88	=	=	PRON
ejpam-3980	169	89	{	{	PUNCT
ejpam-3980	169	90	x/0.0	x/0.0	ADJ
ejpam-3980	169	91	,	,	PUNCT
ejpam-3980	169	92	y/0.4	y/0.4	NOUN
ejpam-3980	169	93	}	}	PUNCT
ejpam-3980	169	94	}	}	PUNCT
ejpam-3980	169	95	,	,	PUNCT
ejpam-3980	169	96	g3e	g3e	PROPN
ejpam-3980	169	97	=	=	PUNCT
ejpam-3980	169	98	{	{	PUNCT
ejpam-3980	169	99	g3(e1	g3(e1	NOUN
ejpam-3980	169	100	)	)	PUNCT
ejpam-3980	169	101	=	=	PRON
ejpam-3980	169	102	{	{	PUNCT
ejpam-3980	169	103	x/0.2	x/0.2	ADV
ejpam-3980	169	104	,	,	PUNCT
ejpam-3980	169	105	y/0.1	y/0.1	PROPN
ejpam-3980	169	106	}	}	PUNCT
ejpam-3980	169	107	,	,	PUNCT
ejpam-3980	169	108	g3(e2	g3(e2	NOUN
ejpam-3980	169	109	)	)	PUNCT
ejpam-3980	169	110	=	=	PRON
ejpam-3980	169	111	{	{	PUNCT
ejpam-3980	169	112	x/0.0	x/0.0	ADJ
ejpam-3980	169	113	,	,	PUNCT
ejpam-3980	169	114	y/0.4	y/0.4	NOUN
ejpam-3980	169	115	}	}	PUNCT
ejpam-3980	169	116	}	}	PUNCT
ejpam-3980	169	117	and	and	CCONJ
ejpam-3980	169	118	g4e	g4e	VERB
ejpam-3980	169	119	=	=	SYM
ejpam-3980	169	120	{	{	PUNCT
ejpam-3980	169	121	g4(e1	g4(e1	NOUN
ejpam-3980	169	122	)	)	PUNCT
ejpam-3980	169	123	=	=	PRON
ejpam-3980	169	124	{	{	PUNCT
ejpam-3980	169	125	x/0.2	x/0.2	ADV
ejpam-3980	169	126	,	,	PUNCT
ejpam-3980	169	127	y/0.0	y/0.0	VERB
ejpam-3980	169	128	}	}	PUNCT
ejpam-3980	169	129	,	,	PUNCT
ejpam-3980	169	130	g4(e2	g4(e2	NOUN
ejpam-3980	169	131	)	)	PUNCT
ejpam-3980	169	132	=	=	PRON
ejpam-3980	169	133	{	{	PUNCT
ejpam-3980	169	134	x/0.0	x/0.0	ADJ
ejpam-3980	169	135	,	,	PUNCT
ejpam-3980	169	136	y/0.4	y/0.4	NOUN
ejpam-3980	169	137	}	}	PUNCT
ejpam-3980	169	138	}	}	PUNCT
ejpam-3980	169	139	.	.	PUNCT
ejpam-3980	170	1	and	and	CCONJ
ejpam-3980	170	2	(	(	PUNCT
ejpam-3980	170	3	1	1	NUM
ejpam-3980	170	4	,	,	PUNCT
ejpam-3980	170	5	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	170	6	soft	soft	ADJ
ejpam-3980	170	7	b	b	NOUN
ejpam-3980	170	8	-	-	PUNCT
ejpam-3980	170	9	closed	closed	ADJ
ejpam-3980	170	10	sets	set	NOUN
ejpam-3980	170	11	are	be	AUX
ejpam-3980	170	12	{	{	PUNCT
ejpam-3980	170	13	0̃e	0̃e	INTJ
ejpam-3980	170	14	,	,	PUNCT
ejpam-3980	170	15	1̃e	1̃e	PROPN
ejpam-3980	170	16	,	,	PUNCT
ejpam-3980	170	17	f	f	PROPN
ejpam-3980	170	18	c1e	c1e	PROPN
ejpam-3980	170	19	,	,	PUNCT
ejpam-3980	170	20	f	f	PROPN
ejpam-3980	170	21	c	c	PROPN
ejpam-3980	170	22	2e	2e	PROPN
ejpam-3980	170	23	,	,	PUNCT
ejpam-3980	170	24	f	f	PROPN
ejpam-3980	170	25	c3e	c3e	PROPN
ejpam-3980	170	26	,	,	PUNCT
ejpam-3980	170	27	f	f	PROPN
ejpam-3980	170	28	c	c	PROPN
ejpam-3980	170	29	4e	4e	PROPN
ejpam-3980	170	30	,	,	PUNCT
ejpam-3980	170	31	f	f	PROPN
ejpam-3980	171	1	c5e	c5e	PROPN
ejpam-3980	171	2	,	,	PUNCT
ejpam-3980	172	1	g	g	PROPN
ejpam-3980	172	2	c	c	PROPN
ejpam-3980	172	3	1e	1e	NOUN
ejpam-3980	172	4	,	,	PUNCT
ejpam-3980	172	5	gc2e	gc2e	PROPN
ejpam-3980	172	6	,	,	PUNCT
ejpam-3980	172	7	g	g	PROPN
ejpam-3980	172	8	c	c	PROPN
ejpam-3980	172	9	3e	3e	X
ejpam-3980	172	10	,	,	PUNCT
ejpam-3980	172	11	g	g	PROPN
ejpam-3980	172	12	c	c	PROPN
ejpam-3980	172	13	4e	4e	PROPN
ejpam-3980	172	14	}	}	PUNCT
ejpam-3980	172	15	,	,	PUNCT
ejpam-3980	172	16	where	where	SCONJ
ejpam-3980	172	17	f	f	PROPN
ejpam-3980	172	18	c1e	c1e	PROPN
ejpam-3980	172	19	,	,	PUNCT
ejpam-3980	172	20	f	f	PROPN
ejpam-3980	172	21	c	c	PROPN
ejpam-3980	172	22	2e	2e	PROPN
ejpam-3980	172	23	,	,	PUNCT
ejpam-3980	172	24	f	f	PROPN
ejpam-3980	172	25	c3e	c3e	PROPN
ejpam-3980	172	26	,	,	PUNCT
ejpam-3980	172	27	g	g	PROPN
ejpam-3980	172	28	c	c	PROPN
ejpam-3980	172	29	1e	1e	NOUN
ejpam-3980	172	30	and	and	CCONJ
ejpam-3980	172	31	gc2e	gc2e	PROPN
ejpam-3980	172	32	are	be	AUX
ejpam-3980	172	33	obtained	obtain	VERB
ejpam-3980	172	34	as	as	ADP
ejpam-3980	172	35	above	above	ADV
ejpam-3980	172	36	and	and	CCONJ
ejpam-3980	172	37	f	f	PROPN
ejpam-3980	172	38	c4e	c4e	PROPN
ejpam-3980	172	39	=	=	SYM
ejpam-3980	172	40	{	{	PUNCT
ejpam-3980	172	41	f4(e1	f4(e1	NOUN
ejpam-3980	172	42	)	)	PUNCT
ejpam-3980	172	43	=	=	PRON
ejpam-3980	172	44	{	{	PUNCT
ejpam-3980	172	45	x/0.2	x/0.2	ADV
ejpam-3980	172	46	,	,	PUNCT
ejpam-3980	172	47	y/0.0	y/0.0	VERB
ejpam-3980	172	48	}	}	PUNCT
ejpam-3980	172	49	,	,	PUNCT
ejpam-3980	172	50	f4(e2	f4(e2	NUM
ejpam-3980	172	51	)	)	PUNCT
ejpam-3980	172	52	=	=	NOUN
ejpam-3980	172	53	{	{	PUNCT
ejpam-3980	172	54	x/0.0	x/0.0	ADJ
ejpam-3980	172	55	,	,	PUNCT
ejpam-3980	172	56	y/0.0	y/0.0	NOUN
ejpam-3980	172	57	=	=	SYM
ejpam-3980	172	58	0̃	0̃	NOUN
ejpam-3980	172	59	}	}	PUNCT
ejpam-3980	172	60	}	}	PUNCT
ejpam-3980	172	61	,	,	PUNCT
ejpam-3980	172	62	a.	a.	PROPN
ejpam-3980	172	63	f.	f.	PROPN
ejpam-3980	172	64	sayed	sayed	PROPN
ejpam-3980	172	65	/	/	SYM
ejpam-3980	172	66	eur	eur	PROPN
ejpam-3980	172	67	.	.	PUNCT
ejpam-3980	173	1	j.	j.	PROPN
ejpam-3980	173	2	pure	pure	PROPN
ejpam-3980	173	3	appl	appl	PROPN
ejpam-3980	173	4	.	.	PROPN
ejpam-3980	173	5	math	math	PROPN
ejpam-3980	173	6	,	,	PUNCT
ejpam-3980	173	7	14	14	NUM
ejpam-3980	173	8	(	(	PUNCT
ejpam-3980	173	9	3	3	NUM
ejpam-3980	173	10	)	)	PUNCT
ejpam-3980	173	11	(	(	PUNCT
ejpam-3980	173	12	2021	2021	NUM
ejpam-3980	173	13	)	)	PUNCT
ejpam-3980	173	14	,	,	PUNCT
ejpam-3980	173	15	760	760	NUM
ejpam-3980	173	16	-	-	SYM
ejpam-3980	173	17	772	772	NUM
ejpam-3980	173	18	766	766	NUM
ejpam-3980	174	1	f	f	NOUN
ejpam-3980	174	2	c5e	c5e	PROPN
ejpam-3980	174	3	=	=	PUNCT
ejpam-3980	174	4	{	{	PUNCT
ejpam-3980	174	5	f5(e1	f5(e1	NOUN
ejpam-3980	174	6	)	)	PUNCT
ejpam-3980	174	7	=	=	PRON
ejpam-3980	174	8	{	{	PUNCT
ejpam-3980	174	9	x/0.2	x/0.2	ADV
ejpam-3980	174	10	,	,	PUNCT
ejpam-3980	174	11	y/0.0	y/0.0	VERB
ejpam-3980	174	12	}	}	PUNCT
ejpam-3980	174	13	,	,	PUNCT
ejpam-3980	174	14	f5(e2	f5(e2	NOUN
ejpam-3980	174	15	)	)	PUNCT
ejpam-3980	174	16	=	=	PRON
ejpam-3980	174	17	{	{	PUNCT
ejpam-3980	174	18	x/0.7	x/0.7	NOUN
ejpam-3980	174	19	,	,	PUNCT
ejpam-3980	174	20	y/0.0	y/0.0	VERB
ejpam-3980	174	21	}	}	PUNCT
ejpam-3980	174	22	}	}	PUNCT
ejpam-3980	174	23	,	,	PUNCT
ejpam-3980	174	24	gc3e	gc3e	NOUN
ejpam-3980	174	25	=	=	PUNCT
ejpam-3980	174	26	{	{	PUNCT
ejpam-3980	174	27	g3(e1	g3(e1	NOUN
ejpam-3980	174	28	)	)	PUNCT
ejpam-3980	174	29	=	=	PRON
ejpam-3980	174	30	{	{	PUNCT
ejpam-3980	174	31	x/0.0	x/0.0	ADJ
ejpam-3980	174	32	,	,	PUNCT
ejpam-3980	174	33	y/0.0	y/0.0	VERB
ejpam-3980	174	34	}	}	PUNCT
ejpam-3980	174	35	=	=	SYM
ejpam-3980	174	36	0̃	0̃	NOUN
ejpam-3980	174	37	,	,	PUNCT
ejpam-3980	174	38	g3(e2	g3(e2	NOUN
ejpam-3980	174	39	)	)	PUNCT
ejpam-3980	174	40	=	=	PRON
ejpam-3980	174	41	{	{	PUNCT
ejpam-3980	174	42	x/0.7	x/0.7	NOUN
ejpam-3980	174	43	,	,	PUNCT
ejpam-3980	174	44	y/0.4	y/0.4	NOUN
ejpam-3980	174	45	}	}	PUNCT
ejpam-3980	174	46	}	}	PUNCT
ejpam-3980	174	47	and	and	CCONJ
ejpam-3980	174	48	gc4e	gc4e	PROPN
ejpam-3980	174	49	=	=	PUNCT
ejpam-3980	174	50	{	{	PUNCT
ejpam-3980	174	51	g4(e1	g4(e1	NOUN
ejpam-3980	174	52	)	)	PUNCT
ejpam-3980	174	53	=	=	PRON
ejpam-3980	174	54	{	{	PUNCT
ejpam-3980	174	55	x/0.0	x/0.0	PROPN
ejpam-3980	174	56	,	,	PUNCT
ejpam-3980	174	57	y/0.1	y/0.1	PROPN
ejpam-3980	174	58	}	}	PUNCT
ejpam-3980	174	59	,	,	PUNCT
ejpam-3980	174	60	g4(e2	g4(e2	NOUN
ejpam-3980	174	61	)	)	PUNCT
ejpam-3980	174	62	=	=	PRON
ejpam-3980	174	63	{	{	PUNCT
ejpam-3980	174	64	x/0.7	x/0.7	NOUN
ejpam-3980	174	65	,	,	PUNCT
ejpam-3980	174	66	y/0.4	y/0.4	NOUN
ejpam-3980	174	67	}	}	PUNCT
ejpam-3980	174	68	}	}	PUNCT
ejpam-3980	174	69	,	,	PUNCT
ejpam-3980	174	70	where	where	SCONJ
ejpam-3980	174	71	1̃e	1̃e	X
ejpam-3980	174	72	=	=	SYM
ejpam-3980	174	73	f1e	f1e	PROPN
ejpam-3980	174	74	∪̃f4e	∪̃f4e	PROPN
ejpam-3980	174	75	,	,	PUNCT
ejpam-3980	174	76	then	then	ADV
ejpam-3980	174	77	(	(	PUNCT
ejpam-3980	174	78	1	1	NUM
ejpam-3980	174	79	,	,	PUNCT
ejpam-3980	174	80	2)∗-fsbcl(f1e	2)∗-fsbcl(f1e	NUM
ejpam-3980	174	81	)	)	PUNCT
ejpam-3980	174	82	=	=	SYM
ejpam-3980	174	83	f	f	PROPN
ejpam-3980	174	84	c4e	c4e	PROPN
ejpam-3980	174	85	,	,	PUNCT
ejpam-3980	174	86	(	(	PUNCT
ejpam-3980	174	87	1	1	NUM
ejpam-3980	174	88	,	,	PUNCT
ejpam-3980	174	89	2)∗-fsbcl(f4e	2)∗-fsbcl(f4e	NUM
ejpam-3980	174	90	)	)	PUNCT
ejpam-3980	174	91	=	=	SYM
ejpam-3980	175	1	gc4e	gc4e	PROPN
ejpam-3980	175	2	and	and	CCONJ
ejpam-3980	175	3	(	(	PUNCT
ejpam-3980	175	4	1	1	NUM
ejpam-3980	175	5	,	,	PUNCT
ejpam-3980	175	6	2)∗fsbcl(f1e	2)∗fsbcl(f1e	NUM
ejpam-3980	175	7	)	)	PUNCT
ejpam-3980	175	8	∩̃f4e	∩̃f4e	NOUN
ejpam-3980	175	9	=	=	NOUN
ejpam-3980	175	10	0̃e	0̃e	INTJ
ejpam-3980	175	11	,	,	PUNCT
ejpam-3980	175	12	(	(	PUNCT
ejpam-3980	175	13	1	1	NUM
ejpam-3980	175	14	,	,	PUNCT
ejpam-3980	175	15	2)∗-fsbcl(f4e	2)∗-fsbcl(f4e	NUM
ejpam-3980	175	16	)	)	PUNCT
ejpam-3980	175	17	∩̃g4e	∩̃g4e	PUNCT
ejpam-3980	176	1	=	=	PUNCT
ejpam-3980	176	2	0̃e	0̃e	PROPN
ejpam-3980	176	3	.	.	PUNCT
ejpam-3980	177	1	hence	hence	ADV
ejpam-3980	177	2	1̃e	1̃e	PROPN
ejpam-3980	177	3	can	can	AUX
ejpam-3980	177	4	be	be	AUX
ejpam-3980	177	5	expressed	express	VERB
ejpam-3980	177	6	as	as	ADP
ejpam-3980	177	7	a	a	DET
ejpam-3980	177	8	fuzzy	fuzzy	ADJ
ejpam-3980	177	9	soft	soft	ADJ
ejpam-3980	177	10	union	union	NOUN
ejpam-3980	177	11	of	of	ADP
ejpam-3980	177	12	two	two	NUM
ejpam-3980	177	13	(	(	PUNCT
ejpam-3980	177	14	1	1	NUM
ejpam-3980	177	15	,	,	PUNCT
ejpam-3980	177	16	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	177	17	soft	soft	ADJ
ejpam-3980	177	18	b	b	NOUN
ejpam-3980	177	19	-	-	PUNCT
ejpam-3980	177	20	separated	separate	VERB
ejpam-3980	177	21	sets	set	NOUN
ejpam-3980	177	22	f1e	f1e	PROPN
ejpam-3980	177	23	,	,	PUNCT
ejpam-3980	177	24	f4e	f4e	PROPN
ejpam-3980	177	25	.	.	PUNCT
ejpam-3980	178	1	there	there	ADV
ejpam-3980	178	2	(	(	PUNCT
ejpam-3980	178	3	x	x	X
ejpam-3980	178	4	,	,	PUNCT
ejpam-3980	178	5	e	e	NOUN
ejpam-3980	178	6	,	,	PUNCT
ejpam-3980	178	7	τ1	τ1	NOUN
ejpam-3980	178	8	,	,	PUNCT
ejpam-3980	178	9	τ2	τ2	NOUN
ejpam-3980	178	10	)	)	PUNCT
ejpam-3980	178	11	is	be	AUX
ejpam-3980	178	12	not	not	PART
ejpam-3980	178	13	(	(	PUNCT
ejpam-3980	178	14	1	1	NUM
ejpam-3980	178	15	,	,	PUNCT
ejpam-3980	178	16	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	178	17	soft	soft	ADJ
ejpam-3980	178	18	b	b	NOUN
ejpam-3980	178	19	-	-	PUNCT
ejpam-3980	178	20	connected	connect	VERB
ejpam-3980	178	21	.	.	PUNCT
ejpam-3980	178	22	example	example	NOUN
ejpam-3980	179	1	2	2	NUM
ejpam-3980	179	2	.	.	PUNCT
ejpam-3980	179	3	(	(	PUNCT
ejpam-3980	179	4	1	1	NUM
ejpam-3980	179	5	,	,	PUNCT
ejpam-3980	179	6	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	179	7	soft	soft	ADJ
ejpam-3980	179	8	b	b	NOUN
ejpam-3980	179	9	-	-	PUNCT
ejpam-3980	179	10	connectivity	connectivity	NOUN
ejpam-3980	179	11	is	be	AUX
ejpam-3980	179	12	not	not	PART
ejpam-3980	179	13	hereditary	hereditary	ADJ
ejpam-3980	179	14	property	property	NOUN
ejpam-3980	179	15	.	.	PUNCT
ejpam-3980	180	1	consider	consider	VERB
ejpam-3980	180	2	the	the	DET
ejpam-3980	180	3	fuzzy	fuzzy	ADJ
ejpam-3980	180	4	soft	soft	ADJ
ejpam-3980	180	5	bitopological	bitopological	ADJ
ejpam-3980	180	6	space	space	NOUN
ejpam-3980	180	7	(	(	PUNCT
ejpam-3980	180	8	x	x	X
ejpam-3980	180	9	,	,	PUNCT
ejpam-3980	180	10	e	e	NOUN
ejpam-3980	180	11	,	,	PUNCT
ejpam-3980	180	12	τ1	τ1	NOUN
ejpam-3980	180	13	,	,	PUNCT
ejpam-3980	180	14	τ2	τ2	NOUN
ejpam-3980	180	15	)	)	PUNCT
ejpam-3980	180	16	,	,	PUNCT
ejpam-3980	180	17	where	where	SCONJ
ejpam-3980	180	18	x	x	X
ejpam-3980	180	19	=	=	PRON
ejpam-3980	180	20	{	{	PUNCT
ejpam-3980	180	21	x	x	PROPN
ejpam-3980	180	22	,	,	PUNCT
ejpam-3980	180	23	y	y	PROPN
ejpam-3980	180	24	}	}	PUNCT
ejpam-3980	180	25	,	,	PUNCT
ejpam-3980	180	26	e	e	X
ejpam-3980	180	27	=	=	PRON
ejpam-3980	180	28	{	{	PUNCT
ejpam-3980	180	29	e1	e1	PROPN
ejpam-3980	180	30	,	,	PUNCT
ejpam-3980	180	31	e2	e2	NOUN
ejpam-3980	180	32	}	}	PUNCT
ejpam-3980	180	33	and	and	CCONJ
ejpam-3980	180	34	let	let	VERB
ejpam-3980	180	35	τ1	τ1	VERB
ejpam-3980	180	36	=	=	SYM
ejpam-3980	180	37	{	{	PUNCT
ejpam-3980	180	38	0̃e	0̃e	INTJ
ejpam-3980	180	39	,	,	PUNCT
ejpam-3980	180	40	1̃e	1̃e	PROPN
ejpam-3980	180	41	,	,	PUNCT
ejpam-3980	180	42	f1e	f1e	PROPN
ejpam-3980	180	43	,	,	PUNCT
ejpam-3980	180	44	f2e	f2e	PROPN
ejpam-3980	180	45	}	}	PUNCT
ejpam-3980	180	46	,	,	PUNCT
ejpam-3980	180	47	τ2	τ2	NOUN
ejpam-3980	180	48	=	=	SYM
ejpam-3980	180	49	{	{	PUNCT
ejpam-3980	180	50	0̃e	0̃e	INTJ
ejpam-3980	180	51	,	,	PUNCT
ejpam-3980	180	52	1̃e	1̃e	PROPN
ejpam-3980	180	53	,	,	PUNCT
ejpam-3980	180	54	g1e	g1e	PROPN
ejpam-3980	180	55	}	}	PUNCT
ejpam-3980	180	56	,	,	PUNCT
ejpam-3980	180	57	where	where	SCONJ
ejpam-3980	180	58	f1e	f1e	PROPN
ejpam-3980	180	59	=	=	PUNCT
ejpam-3980	180	60	{	{	PUNCT
ejpam-3980	180	61	f1(e1	f1(e1	PROPN
ejpam-3980	180	62	)	)	PUNCT
ejpam-3980	180	63	=	=	PRON
ejpam-3980	180	64	{	{	PUNCT
ejpam-3980	180	65	x/0.2	x/0.2	ADV
ejpam-3980	180	66	,	,	PUNCT
ejpam-3980	180	67	y/0.0	y/0.0	VERB
ejpam-3980	180	68	}	}	PUNCT
ejpam-3980	180	69	,	,	PUNCT
ejpam-3980	180	70	f1(e2	f1(e2	NOUN
ejpam-3980	180	71	)	)	PUNCT
ejpam-3980	180	72	=	=	PRON
ejpam-3980	181	1	{	{	PUNCT
ejpam-3980	181	2	x/0.0	x/0.0	ADJ
ejpam-3980	181	3	,	,	PUNCT
ejpam-3980	181	4	y/0.0	y/0.0	VERB
ejpam-3980	181	5	}	}	PUNCT
ejpam-3980	181	6	=	=	SYM
ejpam-3980	181	7	0̃	0̃	NOUN
ejpam-3980	181	8	}	}	PUNCT
ejpam-3980	181	9	,	,	PUNCT
ejpam-3980	181	10	f2e	f2e	PROPN
ejpam-3980	181	11	=	=	SYM
ejpam-3980	181	12	{	{	PUNCT
ejpam-3980	181	13	f2(e1	f2(e1	NOUN
ejpam-3980	181	14	)	)	PUNCT
ejpam-3980	181	15	=	=	PRON
ejpam-3980	181	16	{	{	PUNCT
ejpam-3980	181	17	x/0.2	x/0.2	ADV
ejpam-3980	181	18	,	,	PUNCT
ejpam-3980	181	19	y/0.0	y/0.0	VERB
ejpam-3980	181	20	}	}	PUNCT
ejpam-3980	181	21	,	,	PUNCT
ejpam-3980	181	22	f2(e2	f2(e2	NOUN
ejpam-3980	181	23	)	)	PUNCT
ejpam-3980	181	24	=	=	PRON
ejpam-3980	181	25	{	{	PUNCT
ejpam-3980	181	26	x/0.7	x/0.7	NOUN
ejpam-3980	181	27	,	,	PUNCT
ejpam-3980	181	28	y/0.0	y/0.0	VERB
ejpam-3980	181	29	}	}	PUNCT
ejpam-3980	181	30	}	}	PUNCT
ejpam-3980	181	31	and	and	CCONJ
ejpam-3980	181	32	g1e	g1e	PROPN
ejpam-3980	181	33	=	=	PUNCT
ejpam-3980	181	34	{	{	PUNCT
ejpam-3980	181	35	g1(e1	g1(e1	NOUN
ejpam-3980	181	36	)	)	PUNCT
ejpam-3980	181	37	=	=	PRON
ejpam-3980	181	38	{	{	PUNCT
ejpam-3980	181	39	x/0.2	x/0.2	ADV
ejpam-3980	181	40	,	,	PUNCT
ejpam-3980	181	41	y/0.1	y/0.1	PROPN
ejpam-3980	181	42	}	}	PUNCT
ejpam-3980	181	43	,	,	PUNCT
ejpam-3980	181	44	g1(e2	g1(e2	NOUN
ejpam-3980	181	45	)	)	PUNCT
ejpam-3980	181	46	=	=	NOUN
ejpam-3980	181	47	{	{	PUNCT
ejpam-3980	181	48	x/0.0	x/0.0	ADJ
ejpam-3980	181	49	,	,	PUNCT
ejpam-3980	181	50	y/0.0	y/0.0	VERB
ejpam-3980	181	51	}	}	PUNCT
ejpam-3980	181	52	=	=	SYM
ejpam-3980	181	53	0̃	0̃	NOUN
ejpam-3980	181	54	}	}	PUNCT
ejpam-3980	181	55	.	.	PUNCT
ejpam-3980	182	1	then	then	ADV
ejpam-3980	182	2	τ1τ2	τ1τ2	ADJ
ejpam-3980	182	3	-	-	ADJ
ejpam-3980	182	4	fuzzy	fuzzy	ADJ
ejpam-3980	182	5	soft	soft	ADJ
ejpam-3980	182	6	open	open	ADJ
ejpam-3980	182	7	sets	set	NOUN
ejpam-3980	182	8	are	be	AUX
ejpam-3980	182	9	{	{	PUNCT
ejpam-3980	182	10	0̃e	0̃e	INTJ
ejpam-3980	182	11	,	,	PUNCT
ejpam-3980	182	12	1̃e	1̃e	PROPN
ejpam-3980	182	13	,	,	PUNCT
ejpam-3980	182	14	f1e	f1e	PROPN
ejpam-3980	182	15	,	,	PUNCT
ejpam-3980	182	16	f2e	f2e	PROPN
ejpam-3980	182	17	,	,	PUNCT
ejpam-3980	182	18	g1e	g1e	PROPN
ejpam-3980	182	19	,	,	PUNCT
ejpam-3980	182	20	h1e	h1e	PROPN
ejpam-3980	182	21	}	}	PUNCT
ejpam-3980	182	22	,	,	PUNCT
ejpam-3980	182	23	where	where	SCONJ
ejpam-3980	182	24	h1e	h1e	PROPN
ejpam-3980	182	25	=	=	PUNCT
ejpam-3980	182	26	{	{	PUNCT
ejpam-3980	182	27	h1(e1	h1(e1	NOUN
ejpam-3980	182	28	)	)	PUNCT
ejpam-3980	182	29	=	=	SYM
ejpam-3980	182	30	{	{	PUNCT
ejpam-3980	182	31	x/0.2	x/0.2	ADV
ejpam-3980	182	32	,	,	PUNCT
ejpam-3980	182	33	y/0.1	y/0.1	PROPN
ejpam-3980	182	34	}	}	PUNCT
ejpam-3980	182	35	,	,	PUNCT
ejpam-3980	182	36	h1(e2	h1(e2	NOUN
ejpam-3980	182	37	)	)	PUNCT
ejpam-3980	182	38	=	=	PUNCT
ejpam-3980	182	39	{	{	PUNCT
ejpam-3980	182	40	x/0.7	x/0.7	ADV
ejpam-3980	182	41	,	,	PUNCT
ejpam-3980	182	42	y/0.0	y/0.0	VERB
ejpam-3980	182	43	}	}	PUNCT
ejpam-3980	182	44	=	=	SYM
ejpam-3980	182	45	0̃	0̃	NOUN
ejpam-3980	182	46	}	}	PUNCT
ejpam-3980	182	47	,	,	PUNCT
ejpam-3980	182	48	also	also	ADV
ejpam-3980	182	49	,	,	PUNCT
ejpam-3980	182	50	(	(	PUNCT
ejpam-3980	182	51	1	1	NUM
ejpam-3980	182	52	,	,	PUNCT
ejpam-3980	182	53	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	182	54	soft	soft	ADJ
ejpam-3980	182	55	b	b	NOUN
ejpam-3980	182	56	-	-	PUNCT
ejpam-3980	182	57	open	open	ADJ
ejpam-3980	182	58	sets	set	NOUN
ejpam-3980	182	59	are	be	AUX
ejpam-3980	182	60	{	{	PUNCT
ejpam-3980	182	61	0̃e	0̃e	INTJ
ejpam-3980	182	62	,	,	PUNCT
ejpam-3980	182	63	1̃e	1̃e	PROPN
ejpam-3980	182	64	,	,	PUNCT
ejpam-3980	182	65	f1e	f1e	PROPN
ejpam-3980	182	66	,	,	PUNCT
ejpam-3980	182	67	f2e	f2e	PROPN
ejpam-3980	182	68	,	,	PUNCT
ejpam-3980	182	69	g1e	g1e	PROPN
ejpam-3980	182	70	,	,	PUNCT
ejpam-3980	182	71	h1e	h1e	PROPN
ejpam-3980	182	72	,	,	PUNCT
ejpam-3980	182	73	h2e	h2e	ADJ
ejpam-3980	182	74	,	,	PUNCT
ejpam-3980	182	75	h3e	h3e	PROPN
ejpam-3980	182	76	,	,	PUNCT
ejpam-3980	182	77	h4e	h4e	PROPN
ejpam-3980	182	78	}	}	PUNCT
ejpam-3980	182	79	,	,	PUNCT
ejpam-3980	182	80	where	where	SCONJ
ejpam-3980	182	81	h2e	h2e	ADV
ejpam-3980	182	82	=	=	SYM
ejpam-3980	182	83	{	{	PUNCT
ejpam-3980	182	84	h2(e1	h2(e1	NOUN
ejpam-3980	182	85	)	)	PUNCT
ejpam-3980	183	1	=	=	PRON
ejpam-3980	183	2	{	{	PUNCT
ejpam-3980	183	3	x/0.2	x/0.2	ADV
ejpam-3980	183	4	,	,	PUNCT
ejpam-3980	183	5	y/0.0	y/0.0	VERB
ejpam-3980	183	6	}	}	PUNCT
ejpam-3980	183	7	,	,	PUNCT
ejpam-3980	183	8	h2(e2	h2(e2	X
ejpam-3980	183	9	)	)	PUNCT
ejpam-3980	183	10	=	=	PRON
ejpam-3980	183	11	{	{	PUNCT
ejpam-3980	183	12	x/0.0	x/0.0	ADJ
ejpam-3980	183	13	,	,	PUNCT
ejpam-3980	183	14	y/0.4	y/0.4	NOUN
ejpam-3980	183	15	}	}	PUNCT
ejpam-3980	183	16	}	}	PUNCT
ejpam-3980	183	17	,	,	PUNCT
ejpam-3980	183	18	h3e	h3e	X
ejpam-3980	183	19	=	=	SYM
ejpam-3980	183	20	{	{	PUNCT
ejpam-3980	183	21	h3(e1	h3(e1	NOUN
ejpam-3980	183	22	)	)	PUNCT
ejpam-3980	183	23	=	=	PRON
ejpam-3980	183	24	{	{	PUNCT
ejpam-3980	183	25	x/0.2	x/0.2	ADV
ejpam-3980	183	26	,	,	PUNCT
ejpam-3980	183	27	y/0.0	y/0.0	VERB
ejpam-3980	183	28	}	}	PUNCT
ejpam-3980	183	29	,	,	PUNCT
ejpam-3980	183	30	h3(e2	h3(e2	NOUN
ejpam-3980	183	31	)	)	PUNCT
ejpam-3980	183	32	=	=	PRON
ejpam-3980	183	33	{	{	PUNCT
ejpam-3980	183	34	x/0.7	x/0.7	NOUN
ejpam-3980	183	35	,	,	PUNCT
ejpam-3980	183	36	y/0.4	y/0.4	NOUN
ejpam-3980	183	37	}	}	PUNCT
ejpam-3980	183	38	}	}	PUNCT
ejpam-3980	183	39	and	and	CCONJ
ejpam-3980	183	40	h4e	h4e	PROPN
ejpam-3980	183	41	=	=	PUNCT
ejpam-3980	183	42	{	{	PUNCT
ejpam-3980	183	43	h3(e1	h3(e1	NOUN
ejpam-3980	183	44	)	)	PUNCT
ejpam-3980	183	45	=	=	PUNCT
ejpam-3980	183	46	{	{	PUNCT
ejpam-3980	183	47	x/0.0	x/0.0	ADJ
ejpam-3980	183	48	,	,	PUNCT
ejpam-3980	183	49	y/0.0	y/0.0	VERB
ejpam-3980	183	50	}	}	PUNCT
ejpam-3980	183	51	,	,	PUNCT
ejpam-3980	183	52	h3(e2	h3(e2	NOUN
ejpam-3980	183	53	)	)	PUNCT
ejpam-3980	183	54	=	=	PRON
ejpam-3980	183	55	{	{	PUNCT
ejpam-3980	183	56	x/0.7	x/0.7	NOUN
ejpam-3980	183	57	,	,	PUNCT
ejpam-3980	183	58	y/0.0	y/0.0	VERB
ejpam-3980	183	59	}	}	PUNCT
ejpam-3980	183	60	}	}	PUNCT
ejpam-3980	183	61	and	and	CCONJ
ejpam-3980	183	62	(	(	PUNCT
ejpam-3980	183	63	1	1	NUM
ejpam-3980	183	64	,	,	PUNCT
ejpam-3980	183	65	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	183	66	soft	soft	ADJ
ejpam-3980	183	67	b	b	NOUN
ejpam-3980	183	68	-	-	PUNCT
ejpam-3980	183	69	closed	closed	ADJ
ejpam-3980	183	70	sets	set	NOUN
ejpam-3980	183	71	are	be	AUX
ejpam-3980	183	72	{	{	PUNCT
ejpam-3980	183	73	0̃e	0̃e	INTJ
ejpam-3980	183	74	,	,	PUNCT
ejpam-3980	183	75	1̃e	1̃e	PROPN
ejpam-3980	183	76	,	,	PUNCT
ejpam-3980	183	77	f	f	PROPN
ejpam-3980	183	78	c1e	c1e	PROPN
ejpam-3980	183	79	,	,	PUNCT
ejpam-3980	183	80	f	f	PROPN
ejpam-3980	183	81	c	c	PROPN
ejpam-3980	183	82	2e	2e	NOUN
ejpam-3980	183	83	,	,	PUNCT
ejpam-3980	183	84	gc1e	gc1e	NOUN
ejpam-3980	183	85	,	,	PUNCT
ejpam-3980	183	86	h	h	NOUN
ejpam-3980	184	1	c	c	NOUN
ejpam-3980	184	2	1e	1e	NOUN
ejpam-3980	184	3	,	,	PUNCT
ejpam-3980	184	4	hc2e	hc2e	PROPN
ejpam-3980	184	5	,	,	PUNCT
ejpam-3980	184	6	h	h	NOUN
ejpam-3980	184	7	c	c	NOUN
ejpam-3980	184	8	3e	3e	X
ejpam-3980	184	9	,	,	PUNCT
ejpam-3980	184	10	hc4e	hc4e	PROPN
ejpam-3980	184	11	}	}	PUNCT
ejpam-3980	184	12	,	,	PUNCT
ejpam-3980	184	13	where	where	SCONJ
ejpam-3980	184	14	f	f	PROPN
ejpam-3980	184	15	c1e	c1e	PROPN
ejpam-3980	184	16	=	=	SYM
ejpam-3980	184	17	{	{	PUNCT
ejpam-3980	184	18	f1(e1	f1(e1	PROPN
ejpam-3980	184	19	)	)	PUNCT
ejpam-3980	184	20	=	=	PRON
ejpam-3980	184	21	{	{	PUNCT
ejpam-3980	184	22	x/0.0	x/0.0	PROPN
ejpam-3980	184	23	,	,	PUNCT
ejpam-3980	184	24	y/0.1	y/0.1	PROPN
ejpam-3980	184	25	}	}	PUNCT
ejpam-3980	184	26	,	,	PUNCT
ejpam-3980	184	27	f1(e2	f1(e2	NOUN
ejpam-3980	184	28	)	)	PUNCT
ejpam-3980	184	29	=	=	PRON
ejpam-3980	184	30	{	{	PUNCT
ejpam-3980	184	31	x/0.7	x/0.7	NOUN
ejpam-3980	184	32	,	,	PUNCT
ejpam-3980	184	33	y/0.4	y/0.4	NOUN
ejpam-3980	184	34	}	}	PUNCT
ejpam-3980	184	35	,	,	PUNCT
ejpam-3980	184	36	f	f	PROPN
ejpam-3980	184	37	c2e	c2e	NOUN
ejpam-3980	184	38	=	=	PRON
ejpam-3980	184	39	{	{	PUNCT
ejpam-3980	184	40	f2(e1	f2(e1	NOUN
ejpam-3980	184	41	)	)	PUNCT
ejpam-3980	184	42	=	=	PRON
ejpam-3980	184	43	{	{	PUNCT
ejpam-3980	184	44	x/0.0	x/0.0	PROPN
ejpam-3980	184	45	,	,	PUNCT
ejpam-3980	184	46	y/0.1	y/0.1	PROPN
ejpam-3980	184	47	}	}	PUNCT
ejpam-3980	184	48	,	,	PUNCT
ejpam-3980	184	49	f2(e2	f2(e2	NOUN
ejpam-3980	184	50	)	)	PUNCT
ejpam-3980	184	51	=	=	PRON
ejpam-3980	184	52	{	{	PUNCT
ejpam-3980	184	53	x/0.0	x/0.0	ADJ
ejpam-3980	184	54	,	,	PUNCT
ejpam-3980	184	55	y/0.4	y/0.4	NOUN
ejpam-3980	184	56	}	}	PUNCT
ejpam-3980	184	57	}	}	PUNCT
ejpam-3980	184	58	,	,	PUNCT
ejpam-3980	184	59	gc1e	gc1e	NOUN
ejpam-3980	184	60	=	=	PUNCT
ejpam-3980	184	61	{	{	PUNCT
ejpam-3980	184	62	g1(e1	g1(e1	NOUN
ejpam-3980	184	63	)	)	PUNCT
ejpam-3980	184	64	=	=	PRON
ejpam-3980	184	65	{	{	PUNCT
ejpam-3980	184	66	x/0.0	x/0.0	ADJ
ejpam-3980	184	67	,	,	PUNCT
ejpam-3980	184	68	y/0.0	y/0.0	VERB
ejpam-3980	184	69	}	}	PUNCT
ejpam-3980	184	70	=	=	SYM
ejpam-3980	184	71	0̃	0̃	NOUN
ejpam-3980	184	72	,	,	PUNCT
ejpam-3980	184	73	g1(e2	g1(e2	NOUN
ejpam-3980	184	74	)	)	PUNCT
ejpam-3980	184	75	=	=	PRON
ejpam-3980	184	76	{	{	PUNCT
ejpam-3980	184	77	x/0.7	x/0.7	NOUN
ejpam-3980	184	78	,	,	PUNCT
ejpam-3980	184	79	y/0.4	y/0.4	NOUN
ejpam-3980	184	80	}	}	PUNCT
ejpam-3980	184	81	}	}	PUNCT
ejpam-3980	184	82	,	,	PUNCT
ejpam-3980	184	83	hc1e	hc1e	NOUN
ejpam-3980	184	84	=	=	SYM
ejpam-3980	184	85	{	{	PUNCT
ejpam-3980	184	86	h1(e1	h1(e1	NOUN
ejpam-3980	184	87	)	)	PUNCT
ejpam-3980	184	88	=	=	SYM
ejpam-3980	184	89	{	{	PUNCT
ejpam-3980	184	90	x/0.0	x/0.0	ADJ
ejpam-3980	184	91	,	,	PUNCT
ejpam-3980	184	92	y/0.0	y/0.0	VERB
ejpam-3980	184	93	}	}	PUNCT
ejpam-3980	184	94	=	=	SYM
ejpam-3980	184	95	0̃	0̃	NOUN
ejpam-3980	184	96	,	,	PUNCT
ejpam-3980	184	97	h1(e2	h1(e2	NOUN
ejpam-3980	184	98	)	)	PUNCT
ejpam-3980	184	99	=	=	NOUN
ejpam-3980	184	100	{	{	PUNCT
ejpam-3980	184	101	x/0.0	x/0.0	ADJ
ejpam-3980	184	102	,	,	PUNCT
ejpam-3980	184	103	y/0.4	y/0.4	NOUN
ejpam-3980	184	104	}	}	PUNCT
ejpam-3980	184	105	}	}	PUNCT
ejpam-3980	184	106	,	,	PUNCT
ejpam-3980	184	107	hc2e	hc2e	PROPN
ejpam-3980	184	108	=	=	PUNCT
ejpam-3980	184	109	{	{	PUNCT
ejpam-3980	184	110	h2(e1	h2(e1	NOUN
ejpam-3980	184	111	)	)	PUNCT
ejpam-3980	184	112	=	=	PRON
ejpam-3980	184	113	{	{	PUNCT
ejpam-3980	184	114	x/0.0	x/0.0	PROPN
ejpam-3980	184	115	,	,	PUNCT
ejpam-3980	184	116	y/0.1	y/0.1	PROPN
ejpam-3980	184	117	}	}	PUNCT
ejpam-3980	184	118	,	,	PUNCT
ejpam-3980	184	119	h2(e2	h2(e2	X
ejpam-3980	184	120	)	)	PUNCT
ejpam-3980	184	121	=	=	PRON
ejpam-3980	184	122	{	{	PUNCT
ejpam-3980	184	123	x/0.7	x/0.7	NOUN
ejpam-3980	184	124	,	,	PUNCT
ejpam-3980	184	125	y/0.0	y/0.0	VERB
ejpam-3980	184	126	}	}	PUNCT
ejpam-3980	184	127	}	}	PUNCT
ejpam-3980	184	128	,	,	PUNCT
ejpam-3980	184	129	hc3e	hc3e	PROPN
ejpam-3980	184	130	=	=	SYM
ejpam-3980	184	131	{	{	PUNCT
ejpam-3980	184	132	h3(e1	h3(e1	NOUN
ejpam-3980	184	133	)	)	PUNCT
ejpam-3980	184	134	=	=	PUNCT
ejpam-3980	184	135	{	{	PUNCT
ejpam-3980	184	136	x/0.0	x/0.0	PROPN
ejpam-3980	184	137	,	,	PUNCT
ejpam-3980	184	138	y/0.1	y/0.1	PROPN
ejpam-3980	184	139	}	}	PUNCT
ejpam-3980	184	140	,	,	PUNCT
ejpam-3980	184	141	h3(e2	h3(e2	NOUN
ejpam-3980	184	142	)	)	PUNCT
ejpam-3980	184	143	=	=	NOUN
ejpam-3980	184	144	{	{	PUNCT
ejpam-3980	184	145	x/0.0	x/0.0	ADJ
ejpam-3980	184	146	,	,	PUNCT
ejpam-3980	184	147	y/0.0	y/0.0	VERB
ejpam-3980	184	148	}	}	PUNCT
ejpam-3980	184	149	=	=	SYM
ejpam-3980	184	150	0̃	0̃	NOUN
ejpam-3980	184	151	}	}	PUNCT
ejpam-3980	184	152	and	and	CCONJ
ejpam-3980	184	153	hc4e	hc4e	PROPN
ejpam-3980	184	154	=	=	SYM
ejpam-3980	184	155	{	{	PUNCT
ejpam-3980	184	156	h4(e1	h4(e1	NOUN
ejpam-3980	184	157	)	)	PUNCT
ejpam-3980	184	158	=	=	PRON
ejpam-3980	184	159	{	{	PUNCT
ejpam-3980	184	160	x/0.2	x/0.2	ADV
ejpam-3980	184	161	,	,	PUNCT
ejpam-3980	184	162	y/0.1	y/0.1	PROPN
ejpam-3980	184	163	}	}	PUNCT
ejpam-3980	184	164	=	=	SYM
ejpam-3980	184	165	0̃	0̃	NOUN
ejpam-3980	184	166	,	,	PUNCT
ejpam-3980	184	167	h4(e2	h4(e2	NOUN
ejpam-3980	184	168	)	)	PUNCT
ejpam-3980	184	169	=	=	NOUN
ejpam-3980	184	170	{	{	PUNCT
ejpam-3980	184	171	x/0.0	x/0.0	ADJ
ejpam-3980	184	172	,	,	PUNCT
ejpam-3980	184	173	y/0.4	y/0.4	NOUN
ejpam-3980	184	174	}	}	PUNCT
ejpam-3980	184	175	}	}	PUNCT
ejpam-3980	184	176	.	.	PUNCT
ejpam-3980	185	1	it	it	PRON
ejpam-3980	185	2	is	be	AUX
ejpam-3980	185	3	clear	clear	ADJ
ejpam-3980	185	4	that	that	SCONJ
ejpam-3980	185	5	(	(	PUNCT
ejpam-3980	185	6	x	x	X
ejpam-3980	185	7	,	,	PUNCT
ejpam-3980	185	8	e	e	NOUN
ejpam-3980	185	9	,	,	PUNCT
ejpam-3980	185	10	τ1	τ1	NOUN
ejpam-3980	185	11	,	,	PUNCT
ejpam-3980	185	12	τ2	τ2	NOUN
ejpam-3980	185	13	)	)	PUNCT
ejpam-3980	185	14	is	be	AUX
ejpam-3980	185	15	(	(	PUNCT
ejpam-3980	185	16	1	1	NUM
ejpam-3980	185	17	,	,	PUNCT
ejpam-3980	185	18	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	185	19	soft	soft	ADJ
ejpam-3980	185	20	b	b	NOUN
ejpam-3980	185	21	-	-	PUNCT
ejpam-3980	185	22	connected	connect	VERB
ejpam-3980	185	23	,	,	PUNCT
ejpam-3980	185	24	since	since	SCONJ
ejpam-3980	185	25	the	the	DET
ejpam-3980	185	26	only	only	ADJ
ejpam-3980	185	27	(	(	PUNCT
ejpam-3980	185	28	1	1	NUM
ejpam-3980	185	29	,	,	PUNCT
ejpam-3980	185	30	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	185	31	soft	soft	ADJ
ejpam-3980	185	32	clopen	clopen	ADJ
ejpam-3980	185	33	sets	set	NOUN
ejpam-3980	185	34	are	be	AUX
ejpam-3980	185	35	0̃e	0̃e	NOUN
ejpam-3980	185	36	and	and	CCONJ
ejpam-3980	185	37	1̃e	1̃e	NUM
ejpam-3980	185	38	.	.	PUNCT
ejpam-3980	186	1	let	let	VERB
ejpam-3980	186	2	y	y	NOUN
ejpam-3980	186	3	=	=	PRON
ejpam-3980	186	4	{	{	PUNCT
ejpam-3980	186	5	x}⊆̃x	x}⊆̃x	X
ejpam-3980	186	6	and	and	CCONJ
ejpam-3980	186	7	e	e	X
ejpam-3980	186	8	=	=	SYM
ejpam-3980	186	9	{	{	PUNCT
ejpam-3980	186	10	e1	e1	PROPN
ejpam-3980	186	11	,	,	PUNCT
ejpam-3980	186	12	e2	e2	PROPN
ejpam-3980	186	13	}	}	PUNCT
ejpam-3980	186	14	.	.	PUNCT
ejpam-3980	187	1	let	let	VERB
ejpam-3980	187	2	σ1	σ1	NOUN
ejpam-3980	187	3	=	=	PUNCT
ejpam-3980	187	4	{	{	PUNCT
ejpam-3980	187	5	0̃e	0̃e	INTJ
ejpam-3980	187	6	,	,	PUNCT
ejpam-3980	187	7	1̃e	1̃e	PROPN
ejpam-3980	187	8	,	,	PUNCT
ejpam-3980	187	9	f1e	f1e	PROPN
ejpam-3980	187	10	}	}	PUNCT
ejpam-3980	187	11	,	,	PUNCT
ejpam-3980	187	12	σ2	σ2	NOUN
ejpam-3980	187	13	=	=	SYM
ejpam-3980	187	14	{	{	PUNCT
ejpam-3980	187	15	0̃e	0̃e	INTJ
ejpam-3980	187	16	,	,	PUNCT
ejpam-3980	187	17	1̃e	1̃e	PROPN
ejpam-3980	187	18	,	,	PUNCT
ejpam-3980	187	19	h4e	h4e	PROPN
ejpam-3980	187	20	}	}	PUNCT
ejpam-3980	187	21	.	.	PUNCT
ejpam-3980	188	1	then	then	ADV
ejpam-3980	188	2	σ1σ2	σ1σ2	X
ejpam-3980	188	3	-	-	ADJ
ejpam-3980	188	4	fuzzy	fuzzy	ADJ
ejpam-3980	188	5	soft	soft	ADJ
ejpam-3980	188	6	open	open	ADJ
ejpam-3980	188	7	sets	set	NOUN
ejpam-3980	188	8	are	be	AUX
ejpam-3980	188	9	{	{	PUNCT
ejpam-3980	188	10	0̃e	0̃e	INTJ
ejpam-3980	188	11	,	,	PUNCT
ejpam-3980	188	12	1̃e	1̃e	PROPN
ejpam-3980	188	13	,	,	PUNCT
ejpam-3980	188	14	f1e	f1e	PROPN
ejpam-3980	188	15	,	,	PUNCT
ejpam-3980	188	16	h4e	h4e	PROPN
ejpam-3980	188	17	}	}	PUNCT
ejpam-3980	188	18	.	.	PUNCT
ejpam-3980	189	1	also	also	ADV
ejpam-3980	189	2	(	(	PUNCT
ejpam-3980	189	3	1	1	NUM
ejpam-3980	189	4	,	,	PUNCT
ejpam-3980	189	5	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	189	6	soft	soft	ADJ
ejpam-3980	189	7	b	b	NOUN
ejpam-3980	189	8	-	-	PUNCT
ejpam-3980	189	9	clopen	clopen	ADJ
ejpam-3980	189	10	sets	set	NOUN
ejpam-3980	189	11	are	be	AUX
ejpam-3980	189	12	{	{	PUNCT
ejpam-3980	189	13	0̃e	0̃e	INTJ
ejpam-3980	189	14	,	,	PUNCT
ejpam-3980	189	15	1̃e	1̃e	PROPN
ejpam-3980	189	16	,	,	PUNCT
ejpam-3980	189	17	f1e	f1e	PROPN
ejpam-3980	189	18	,	,	PUNCT
ejpam-3980	189	19	h4e	h4e	PROPN
ejpam-3980	189	20	}	}	PUNCT
ejpam-3980	189	21	.	.	PUNCT
ejpam-3980	190	1	clearly	clearly	ADV
ejpam-3980	190	2	(	(	PUNCT
ejpam-3980	190	3	y	y	NOUN
ejpam-3980	190	4	,	,	PUNCT
ejpam-3980	190	5	e	e	PROPN
ejpam-3980	190	6	,	,	PUNCT
ejpam-3980	190	7	σ1	σ1	PROPN
ejpam-3980	190	8	,	,	PUNCT
ejpam-3980	190	9	σ2	σ2	PROPN
ejpam-3980	190	10	)	)	PUNCT
ejpam-3980	190	11	is	be	AUX
ejpam-3980	190	12	not	not	PART
ejpam-3980	190	13	(	(	PUNCT
ejpam-3980	190	14	1	1	NUM
ejpam-3980	190	15	,	,	PUNCT
ejpam-3980	190	16	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	190	17	soft	soft	ADJ
ejpam-3980	190	18	bconnected	bconnected	ADJ
ejpam-3980	190	19	;	;	PUNCT
ejpam-3980	190	20	since	since	SCONJ
ejpam-3980	190	21	f1e	f1e	PROPN
ejpam-3980	190	22	and	and	CCONJ
ejpam-3980	190	23	h4e	h4e	PROPN
ejpam-3980	190	24	are	be	AUX
ejpam-3980	190	25	two	two	NUM
ejpam-3980	190	26	(	(	PUNCT
ejpam-3980	190	27	1	1	NUM
ejpam-3980	190	28	,	,	PUNCT
ejpam-3980	190	29	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	190	30	soft	soft	ADJ
ejpam-3980	190	31	b	b	NOUN
ejpam-3980	190	32	-	-	PUNCT
ejpam-3980	190	33	clopen	clopen	ADJ
ejpam-3980	190	34	sets	set	NOUN
ejpam-3980	190	35	other	other	ADJ
ejpam-3980	190	36	than	than	ADP
ejpam-3980	190	37	0̃e	0̃e	PROPN
ejpam-3980	190	38	and	and	CCONJ
ejpam-3980	190	39	1̃e	1̃e	PROPN
ejpam-3980	190	40	.	.	PUNCT
ejpam-3980	191	1	proposition	proposition	NOUN
ejpam-3980	191	2	2	2	NUM
ejpam-3980	191	3	.	.	PUNCT
ejpam-3980	192	1	let	let	VERB
ejpam-3980	192	2	fe	fe	X
ejpam-3980	192	3	be	be	AUX
ejpam-3980	192	4	a	a	DET
ejpam-3980	192	5	(	(	PUNCT
ejpam-3980	192	6	1	1	NUM
ejpam-3980	192	7	,	,	PUNCT
ejpam-3980	192	8	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	192	9	soft	soft	ADJ
ejpam-3980	192	10	b	b	NOUN
ejpam-3980	192	11	-	-	PUNCT
ejpam-3980	192	12	connected	connect	VERB
ejpam-3980	192	13	set	set	NOUN
ejpam-3980	192	14	,	,	PUNCT
ejpam-3980	192	15	ge	ge	PROPN
ejpam-3980	193	1	and	and	CCONJ
ejpam-3980	193	2	he	he	PRON
ejpam-3980	193	3	are	be	AUX
ejpam-3980	193	4	(	(	PUNCT
ejpam-3980	193	5	1	1	NUM
ejpam-3980	193	6	,	,	PUNCT
ejpam-3980	193	7	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	193	8	soft	soft	ADJ
ejpam-3980	193	9	b	b	NOUN
ejpam-3980	193	10	-	-	PUNCT
ejpam-3980	193	11	separated	separate	VERB
ejpam-3980	193	12	sets	set	NOUN
ejpam-3980	193	13	.	.	PUNCT
ejpam-3980	194	1	if	if	SCONJ
ejpam-3980	194	2	fe⊆̃ge∪̃he	fe⊆̃ge∪̃he	NUM
ejpam-3980	194	3	then	then	ADV
ejpam-3980	194	4	either	either	CCONJ
ejpam-3980	194	5	fe⊆̃ge	fe⊆̃ge	VERB
ejpam-3980	194	6	or	or	CCONJ
ejpam-3980	194	7	fe⊆̃he	fe⊆̃he	NOUN
ejpam-3980	194	8	.	.	PUNCT
ejpam-3980	195	1	proof	proof	NOUN
ejpam-3980	195	2	.	.	PUNCT
ejpam-3980	196	1	let	let	VERB
ejpam-3980	196	2	fe	fe	X
ejpam-3980	196	3	be	be	AUX
ejpam-3980	196	4	a	a	DET
ejpam-3980	196	5	(	(	PUNCT
ejpam-3980	196	6	1	1	NUM
ejpam-3980	196	7	,	,	PUNCT
ejpam-3980	196	8	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	196	9	soft	soft	ADJ
ejpam-3980	196	10	b	b	NOUN
ejpam-3980	196	11	-	-	PUNCT
ejpam-3980	196	12	connected	connect	VERB
ejpam-3980	196	13	set	set	NOUN
ejpam-3980	196	14	,	,	PUNCT
ejpam-3980	196	15	ge	ge	PROPN
ejpam-3980	197	1	and	and	CCONJ
ejpam-3980	197	2	he	he	PRON
ejpam-3980	197	3	are	be	AUX
ejpam-3980	197	4	(	(	PUNCT
ejpam-3980	197	5	1	1	NUM
ejpam-3980	197	6	,	,	PUNCT
ejpam-3980	197	7	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	197	8	soft	soft	ADJ
ejpam-3980	197	9	bseparated	bseparate	VERB
ejpam-3980	197	10	sets	set	NOUN
ejpam-3980	197	11	such	such	ADJ
ejpam-3980	197	12	that	that	DET
ejpam-3980	197	13	fe⊆̃ge∪̃he	fe⊆̃ge∪̃he	PROPN
ejpam-3980	197	14	.	.	PUNCT
ejpam-3980	198	1	let	let	VERB
ejpam-3980	198	2	fe*̃ge	fe*̃ge	NOUN
ejpam-3980	198	3	and	and	CCONJ
ejpam-3980	198	4	fe*̃he	fe*̃he	PROPN
ejpam-3980	198	5	.	.	PUNCT
ejpam-3980	199	1	suppose	suppose	VERB
ejpam-3980	199	2	ke	ke	NOUN
ejpam-3980	199	3	=	=	PUNCT
ejpam-3980	199	4	ge∩̃fe	ge∩̃fe	NOUN
ejpam-3980	199	5	6=	6=	ADP
ejpam-3980	199	6	0̃e	0̃e	PROPN
ejpam-3980	199	7	and	and	CCONJ
ejpam-3980	199	8	le	le	X
ejpam-3980	199	9	=	=	PUNCT
ejpam-3980	199	10	he∩̃fe	he∩̃fe	NOUN
ejpam-3980	200	1	6=	6=	ADP
ejpam-3980	200	2	0̃e	0̃e	PROPN
ejpam-3980	200	3	then	then	ADV
ejpam-3980	200	4	fe	fe	X
ejpam-3980	201	1	=	=	X
ejpam-3980	201	2	ke∪̃le	ke∪̃le	PROPN
ejpam-3980	201	3	.	.	PUNCT
ejpam-3980	202	1	since	since	SCONJ
ejpam-3980	202	2	ke⊆̃ge	ke⊆̃ge	PROPN
ejpam-3980	202	3	,	,	PUNCT
ejpam-3980	202	4	(	(	PUNCT
ejpam-3980	202	5	(	(	PUNCT
ejpam-3980	202	6	1	1	NUM
ejpam-3980	202	7	,	,	PUNCT
ejpam-3980	202	8	2)∗-fsbcl(ke))⊆̃((1	2)∗-fsbcl(ke))⊆̃((1	NUM
ejpam-3980	202	9	,	,	PUNCT
ejpam-3980	202	10	2)∗-fsbcl(ge	2)∗-fsbcl(ge	NUM
ejpam-3980	202	11	)	)	PUNCT
ejpam-3980	202	12	)	)	PUNCT
ejpam-3980	202	13	.	.	PUNCT
ejpam-3980	203	1	also	also	ADV
ejpam-3980	203	2	(	(	PUNCT
ejpam-3980	203	3	(	(	PUNCT
ejpam-3980	203	4	1	1	NUM
ejpam-3980	203	5	,	,	PUNCT
ejpam-3980	203	6	2)∗-fsbcl(ge))∩̃he	2)∗-fsbcl(ge))∩̃he	NUM
ejpam-3980	203	7	=	=	SYM
ejpam-3980	203	8	0̃e	0̃e	INTJ
ejpam-3980	203	9	then	then	ADV
ejpam-3980	203	10	(	(	PUNCT
ejpam-3980	203	11	(	(	PUNCT
ejpam-3980	203	12	1	1	NUM
ejpam-3980	203	13	,	,	PUNCT
ejpam-3980	203	14	2)∗-fsbcl(ke))∩̃le	2)∗-fsbcl(ke))∩̃le	NUM
ejpam-3980	203	15	=	=	SYM
ejpam-3980	203	16	0̃e	0̃e	INTJ
ejpam-3980	203	17	.	.	PUNCT
ejpam-3980	204	1	since	since	SCONJ
ejpam-3980	204	2	le⊆̃he	le⊆̃he	NOUN
ejpam-3980	204	3	,	,	PUNCT
ejpam-3980	204	4	(	(	PUNCT
ejpam-3980	204	5	(	(	PUNCT
ejpam-3980	204	6	1	1	NUM
ejpam-3980	204	7	,	,	PUNCT
ejpam-3980	204	8	2)∗-fsbcl(le))⊆̃((1	2)∗-fsbcl(le))⊆̃((1	NUM
ejpam-3980	204	9	,	,	PUNCT
ejpam-3980	204	10	2)∗-fsbcl(he	2)∗-fsbcl(he	NUM
ejpam-3980	204	11	)	)	PUNCT
ejpam-3980	204	12	)	)	PUNCT
ejpam-3980	204	13	.	.	PUNCT
ejpam-3980	205	1	also	also	ADV
ejpam-3980	205	2	(	(	PUNCT
ejpam-3980	205	3	(	(	PUNCT
ejpam-3980	205	4	1	1	NUM
ejpam-3980	205	5	,	,	PUNCT
ejpam-3980	205	6	2)∗-fsbcl(he))∩̃ge	2)∗-fsbcl(he))∩̃ge	NUM
ejpam-3980	205	7	=	=	SYM
ejpam-3980	205	8	0̃e	0̃e	INTJ
ejpam-3980	205	9	then	then	ADV
ejpam-3980	205	10	(	(	PUNCT
ejpam-3980	205	11	(	(	PUNCT
ejpam-3980	205	12	1	1	NUM
ejpam-3980	205	13	,	,	PUNCT
ejpam-3980	205	14	2)∗-fsbcl(le))∩̃ke	2)∗-fsbcl(le))∩̃ke	NUM
ejpam-3980	205	15	=	=	SYM
ejpam-3980	205	16	0̃e	0̃e	PROPN
ejpam-3980	205	17	.	.	PUNCT
ejpam-3980	206	1	but	but	CCONJ
ejpam-3980	206	2	fe	fe	X
ejpam-3980	206	3	=	=	NOUN
ejpam-3980	206	4	ke∪̃le	ke∪̃le	PROPN
ejpam-3980	206	5	,	,	PUNCT
ejpam-3980	206	6	a.	a.	PROPN
ejpam-3980	206	7	f.	f.	PROPN
ejpam-3980	206	8	sayed	sayed	PROPN
ejpam-3980	206	9	/	/	SYM
ejpam-3980	206	10	eur	eur	PROPN
ejpam-3980	206	11	.	.	PUNCT
ejpam-3980	207	1	j.	j.	PROPN
ejpam-3980	207	2	pure	pure	PROPN
ejpam-3980	207	3	appl	appl	PROPN
ejpam-3980	207	4	.	.	PROPN
ejpam-3980	207	5	math	math	PROPN
ejpam-3980	207	6	,	,	PUNCT
ejpam-3980	207	7	14	14	NUM
ejpam-3980	207	8	(	(	PUNCT
ejpam-3980	207	9	3	3	NUM
ejpam-3980	207	10	)	)	PUNCT
ejpam-3980	207	11	(	(	PUNCT
ejpam-3980	207	12	2021	2021	NUM
ejpam-3980	207	13	)	)	PUNCT
ejpam-3980	207	14	,	,	PUNCT
ejpam-3980	207	15	760	760	NUM
ejpam-3980	207	16	-	-	SYM
ejpam-3980	207	17	772	772	NUM
ejpam-3980	207	18	767	767	NUM
ejpam-3980	207	19	therefore	therefore	ADV
ejpam-3980	207	20	fe	fe	X
ejpam-3980	207	21	is	be	AUX
ejpam-3980	207	22	not	not	PART
ejpam-3980	207	23	(	(	PUNCT
ejpam-3980	207	24	1	1	NUM
ejpam-3980	207	25	,	,	PUNCT
ejpam-3980	207	26	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	207	27	soft	soft	ADJ
ejpam-3980	207	28	b	b	NOUN
ejpam-3980	207	29	-	-	PUNCT
ejpam-3980	207	30	connected	connect	VERB
ejpam-3980	207	31	set	set	NOUN
ejpam-3980	207	32	which	which	PRON
ejpam-3980	207	33	is	be	AUX
ejpam-3980	207	34	not	not	PART
ejpam-3980	207	35	a	a	DET
ejpam-3980	207	36	contradiction	contradiction	NOUN
ejpam-3980	207	37	.	.	PUNCT
ejpam-3980	208	1	then	then	ADV
ejpam-3980	208	2	either	either	CCONJ
ejpam-3980	208	3	fe⊆̃ge	fe⊆̃ge	VERB
ejpam-3980	208	4	or	or	CCONJ
ejpam-3980	208	5	fe⊆̃he	fe⊆̃he	NOUN
ejpam-3980	208	6	.	.	PUNCT
ejpam-3980	209	1	theorem	theorem	NOUN
ejpam-3980	209	2	2	2	NUM
ejpam-3980	209	3	.	.	PUNCT
ejpam-3980	210	1	if	if	SCONJ
ejpam-3980	210	2	fe	fe	X
ejpam-3980	210	3	is	be	AUX
ejpam-3980	210	4	a	a	DET
ejpam-3980	210	5	(	(	PUNCT
ejpam-3980	210	6	1	1	NUM
ejpam-3980	210	7	,	,	PUNCT
ejpam-3980	210	8	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	210	9	soft	soft	ADJ
ejpam-3980	210	10	b	b	NOUN
ejpam-3980	210	11	-	-	PUNCT
ejpam-3980	210	12	connected	connect	VERB
ejpam-3980	210	13	set	set	NOUN
ejpam-3980	210	14	and	and	CCONJ
ejpam-3980	210	15	fe⊆̃ge⊆̃((1	fe⊆̃ge⊆̃((1	PROPN
ejpam-3980	210	16	,	,	PUNCT
ejpam-3980	210	17	2)∗-fsbcl(fe	2)∗-fsbcl(fe	NUM
ejpam-3980	210	18	)	)	PUNCT
ejpam-3980	210	19	)	)	PUNCT
ejpam-3980	210	20	then	then	ADV
ejpam-3980	210	21	ge	ge	PROPN
ejpam-3980	210	22	is	be	AUX
ejpam-3980	210	23	a	a	DET
ejpam-3980	210	24	(	(	PUNCT
ejpam-3980	210	25	1	1	NUM
ejpam-3980	210	26	,	,	PUNCT
ejpam-3980	210	27	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	210	28	soft	soft	ADJ
ejpam-3980	210	29	b	b	NOUN
ejpam-3980	210	30	-	-	PUNCT
ejpam-3980	210	31	connected	connect	VERB
ejpam-3980	210	32	.	.	PUNCT
ejpam-3980	211	1	proof	proof	NOUN
ejpam-3980	211	2	.	.	PUNCT
ejpam-3980	212	1	suppose	suppose	VERB
ejpam-3980	212	2	ge	ge	PROPN
ejpam-3980	212	3	is	be	AUX
ejpam-3980	212	4	not	not	PART
ejpam-3980	212	5	(	(	PUNCT
ejpam-3980	212	6	1	1	NUM
ejpam-3980	212	7	,	,	PUNCT
ejpam-3980	212	8	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	212	9	soft	soft	ADJ
ejpam-3980	212	10	b	b	NOUN
ejpam-3980	212	11	-	-	PUNCT
ejpam-3980	212	12	connected	connected	ADJ
ejpam-3980	212	13	then	then	ADV
ejpam-3980	212	14	there	there	PRON
ejpam-3980	212	15	exists	exist	VERB
ejpam-3980	212	16	two	two	NUM
ejpam-3980	212	17	non	non	ADJ
ejpam-3980	212	18	-	-	ADJ
ejpam-3980	212	19	empty	empty	ADJ
ejpam-3980	212	20	fuzzy	fuzzy	ADJ
ejpam-3980	212	21	soft	soft	ADJ
ejpam-3980	212	22	sets	set	NOUN
ejpam-3980	212	23	f1e	f1e	PROPN
ejpam-3980	212	24	and	and	CCONJ
ejpam-3980	212	25	f2e	f2e	VERB
ejpam-3980	212	26	such	such	ADJ
ejpam-3980	212	27	that	that	PRON
ejpam-3980	212	28	(	(	PUNCT
ejpam-3980	212	29	(	(	PUNCT
ejpam-3980	212	30	1	1	NUM
ejpam-3980	212	31	,	,	PUNCT
ejpam-3980	212	32	2)∗-fsbcl(f1e	2)∗-fsbcl(f1e	NUM
ejpam-3980	212	33	)	)	PUNCT
ejpam-3980	212	34	)	)	PUNCT
ejpam-3980	212	35	∩̃f2e	∩̃f2e	NOUN
ejpam-3980	212	36	=	=	PUNCT
ejpam-3980	212	37	f1e	f1e	PROPN
ejpam-3980	212	38	∩̃((1	∩̃((1	PROPN
ejpam-3980	212	39	,	,	PUNCT
ejpam-3980	212	40	2)∗-fsbcl(f2e	2)∗-fsbcl(f2e	NUM
ejpam-3980	212	41	)	)	PUNCT
ejpam-3980	212	42	)	)	PUNCT
ejpam-3980	213	1	=	=	PUNCT
ejpam-3980	213	2	0̃e	0̃e	INTJ
ejpam-3980	213	3	and	and	CCONJ
ejpam-3980	213	4	fe	fe	X
ejpam-3980	213	5	=	=	PUNCT
ejpam-3980	213	6	f1e	f1e	PROPN
ejpam-3980	213	7	∪̃f2e	∪̃f2e	PROPN
ejpam-3980	213	8	.	.	PUNCT
ejpam-3980	214	1	since	since	SCONJ
ejpam-3980	214	2	fe⊆̃ge	fe⊆̃ge	NOUN
ejpam-3980	214	3	then	then	ADV
ejpam-3980	214	4	either	either	CCONJ
ejpam-3980	214	5	fe⊆̃f1e	fe⊆̃f1e	NOUN
ejpam-3980	214	6	or	or	CCONJ
ejpam-3980	214	7	fe⊆̃f2e	fe⊆̃f2e	ADJ
ejpam-3980	214	8	.	.	PUNCT
ejpam-3980	215	1	suppose	suppose	VERB
ejpam-3980	216	1	fe⊆̃f1e	fe⊆̃f1e	NOUN
ejpam-3980	216	2	,	,	PUNCT
ejpam-3980	216	3	then	then	ADV
ejpam-3980	216	4	(	(	PUNCT
ejpam-3980	216	5	(	(	PUNCT
ejpam-3980	216	6	1	1	NUM
ejpam-3980	216	7	,	,	PUNCT
ejpam-3980	216	8	2)∗-fsbcl(fe))⊆̃((1	2)∗-fsbcl(fe))⊆̃((1	NUM
ejpam-3980	216	9	,	,	PUNCT
ejpam-3980	216	10	2)∗-fsbcl(f1e	2)∗-fsbcl(f1e	NUM
ejpam-3980	216	11	)	)	PUNCT
ejpam-3980	216	12	)	)	PUNCT
ejpam-3980	216	13	,	,	PUNCT
ejpam-3980	216	14	thus	thus	ADV
ejpam-3980	216	15	(	(	PUNCT
ejpam-3980	216	16	(	(	PUNCT
ejpam-3980	216	17	1	1	NUM
ejpam-3980	216	18	,	,	PUNCT
ejpam-3980	216	19	2)∗-fsbcl(fe))∩̃f2e	2)∗-fsbcl(fe))∩̃f2e	NUM
ejpam-3980	216	20	=	=	SYM
ejpam-3980	216	21	fe∩̃((1	fe∩̃((1	NOUN
ejpam-3980	216	22	,	,	PUNCT
ejpam-3980	216	23	2)∗-fsbcl(f2e	2)∗-fsbcl(f2e	NUM
ejpam-3980	216	24	)	)	PUNCT
ejpam-3980	216	25	)	)	PUNCT
ejpam-3980	217	1	=	=	PUNCT
ejpam-3980	217	2	0̃e	0̃e	INTJ
ejpam-3980	217	3	.	.	PUNCT
ejpam-3980	218	1	but	but	CCONJ
ejpam-3980	218	2	f2e	f2e	PROPN
ejpam-3980	218	3	⊆̃ge⊆̃((1	⊆̃ge⊆̃((1	PROPN
ejpam-3980	218	4	,	,	PUNCT
ejpam-3980	218	5	2)∗-fsbcl(fe	2)∗-fsbcl(fe	NUM
ejpam-3980	218	6	)	)	PUNCT
ejpam-3980	218	7	)	)	PUNCT
ejpam-3980	218	8	,	,	PUNCT
ejpam-3980	218	9	thus	thus	ADV
ejpam-3980	218	10	(	(	PUNCT
ejpam-3980	218	11	(	(	PUNCT
ejpam-3980	218	12	1	1	NUM
ejpam-3980	218	13	,	,	PUNCT
ejpam-3980	218	14	2)∗-fsbcl(fe))∩̃f2e	2)∗-fsbcl(fe))∩̃f2e	NUM
ejpam-3980	218	15	=	=	SYM
ejpam-3980	218	16	f2e	f2e	X
ejpam-3980	218	17	.	.	PUNCT
ejpam-3980	219	1	therefore	therefore	ADV
ejpam-3980	219	2	f2e	f2e	PROPN
ejpam-3980	219	3	=	=	SYM
ejpam-3980	219	4	0̃e	0̃e	PROPN
ejpam-3980	219	5	,	,	PUNCT
ejpam-3980	219	6	which	which	PRON
ejpam-3980	219	7	is	be	AUX
ejpam-3980	219	8	a	a	DET
ejpam-3980	219	9	contradiction	contradiction	NOUN
ejpam-3980	219	10	.	.	PUNCT
ejpam-3980	220	1	if	if	SCONJ
ejpam-3980	220	2	fe⊆̃f2e	fe⊆̃f2e	ADJ
ejpam-3980	220	3	,	,	PUNCT
ejpam-3980	220	4	then	then	ADV
ejpam-3980	220	5	by	by	ADP
ejpam-3980	220	6	the	the	DET
ejpam-3980	220	7	same	same	ADJ
ejpam-3980	220	8	way	way	NOUN
ejpam-3980	220	9	we	we	PRON
ejpam-3980	220	10	can	can	AUX
ejpam-3980	220	11	prove	prove	VERB
ejpam-3980	221	1	that	that	SCONJ
ejpam-3980	221	2	f1e	f1e	PROPN
ejpam-3980	221	3	=	=	PUNCT
ejpam-3980	221	4	0̃e	0̃e	INTJ
ejpam-3980	221	5	.	.	PUNCT
ejpam-3980	222	1	this	this	PRON
ejpam-3980	222	2	is	be	AUX
ejpam-3980	222	3	a	a	DET
ejpam-3980	222	4	contradiction	contradiction	NOUN
ejpam-3980	222	5	.	.	PUNCT
ejpam-3980	223	1	thus	thus	ADV
ejpam-3980	223	2	ge	ge	PROPN
ejpam-3980	223	3	be	be	AUX
ejpam-3980	223	4	a	a	PRON
ejpam-3980	223	5	(	(	PUNCT
ejpam-3980	223	6	1	1	NUM
ejpam-3980	223	7	,	,	PUNCT
ejpam-3980	223	8	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	223	9	soft	soft	ADJ
ejpam-3980	223	10	b	b	NOUN
ejpam-3980	223	11	-	-	PUNCT
ejpam-3980	223	12	connected	connect	VERB
ejpam-3980	223	13	.	.	PUNCT
ejpam-3980	224	1	theorem	theorem	VERB
ejpam-3980	224	2	3	3	NUM
ejpam-3980	224	3	.	.	PUNCT
ejpam-3980	225	1	if	if	SCONJ
ejpam-3980	225	2	fe	fe	X
ejpam-3980	225	3	is	be	AUX
ejpam-3980	225	4	a	a	DET
ejpam-3980	225	5	(	(	PUNCT
ejpam-3980	225	6	1	1	NUM
ejpam-3980	225	7	,	,	PUNCT
ejpam-3980	225	8	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	225	9	soft	soft	ADJ
ejpam-3980	225	10	b	b	NOUN
ejpam-3980	225	11	-	-	PUNCT
ejpam-3980	225	12	connected	connect	VERB
ejpam-3980	225	13	set	set	NOUN
ejpam-3980	225	14	,	,	PUNCT
ejpam-3980	225	15	then	then	ADV
ejpam-3980	225	16	(	(	PUNCT
ejpam-3980	225	17	1	1	NUM
ejpam-3980	225	18	,	,	PUNCT
ejpam-3980	225	19	2)∗-fsbcl(fe	2)∗-fsbcl(fe	NUM
ejpam-3980	225	20	)	)	PUNCT
ejpam-3980	225	21	is	be	AUX
ejpam-3980	225	22	(	(	PUNCT
ejpam-3980	225	23	1	1	NUM
ejpam-3980	225	24	,	,	PUNCT
ejpam-3980	225	25	2)∗fuzzy	2)∗fuzzy	NUM
ejpam-3980	225	26	soft	soft	ADJ
ejpam-3980	225	27	b	b	NOUN
ejpam-3980	225	28	-	-	PUNCT
ejpam-3980	225	29	connected	connect	VERB
ejpam-3980	225	30	.	.	PUNCT
ejpam-3980	226	1	proof	proof	NOUN
ejpam-3980	226	2	.	.	PUNCT
ejpam-3980	227	1	suppose	suppose	VERB
ejpam-3980	227	2	fe	fe	X
ejpam-3980	227	3	is	be	AUX
ejpam-3980	227	4	(	(	PUNCT
ejpam-3980	227	5	1	1	NUM
ejpam-3980	227	6	,	,	PUNCT
ejpam-3980	227	7	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	227	8	soft	soft	ADJ
ejpam-3980	227	9	b	b	NOUN
ejpam-3980	227	10	-	-	PUNCT
ejpam-3980	227	11	connected	connect	VERB
ejpam-3980	227	12	and	and	CCONJ
ejpam-3980	227	13	(	(	PUNCT
ejpam-3980	227	14	1	1	NUM
ejpam-3980	227	15	,	,	PUNCT
ejpam-3980	227	16	2)∗-fsbcl(fe	2)∗-fsbcl(fe	NUM
ejpam-3980	227	17	)	)	PUNCT
ejpam-3980	227	18	is	be	AUX
ejpam-3980	227	19	not	not	PART
ejpam-3980	227	20	(	(	PUNCT
ejpam-3980	227	21	1	1	NUM
ejpam-3980	227	22	,	,	PUNCT
ejpam-3980	227	23	2)∗fuzzy	2)∗fuzzy	NUM
ejpam-3980	227	24	soft	soft	ADJ
ejpam-3980	227	25	b	b	NOUN
ejpam-3980	227	26	-	-	PUNCT
ejpam-3980	227	27	connected	connect	VERB
ejpam-3980	227	28	.	.	PUNCT
ejpam-3980	228	1	then	then	ADV
ejpam-3980	228	2	there	there	PRON
ejpam-3980	228	3	exist	exist	VERB
ejpam-3980	228	4	two	two	NUM
ejpam-3980	228	5	(	(	PUNCT
ejpam-3980	228	6	1	1	NUM
ejpam-3980	228	7	,	,	PUNCT
ejpam-3980	228	8	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	228	9	soft	soft	ADJ
ejpam-3980	228	10	b	b	NOUN
ejpam-3980	228	11	-	-	PUNCT
ejpam-3980	228	12	separated	separate	VERB
ejpam-3980	228	13	sets	set	NOUN
ejpam-3980	228	14	f1e	f1e	PROPN
ejpam-3980	228	15	and	and	CCONJ
ejpam-3980	228	16	f2e	f2e	VERB
ejpam-3980	228	17	such	such	ADJ
ejpam-3980	228	18	that	that	SCONJ
ejpam-3980	228	19	(	(	PUNCT
ejpam-3980	228	20	1	1	NUM
ejpam-3980	228	21	,	,	PUNCT
ejpam-3980	228	22	2)∗-fsbcl(fe	2)∗-fsbcl(fe	NUM
ejpam-3980	228	23	)	)	PUNCT
ejpam-3980	228	24	=	=	PUNCT
ejpam-3980	228	25	f1e	f1e	PROPN
ejpam-3980	228	26	∪̃f2e	∪̃f2e	PROPN
ejpam-3980	228	27	.	.	PUNCT
ejpam-3980	229	1	but	but	CCONJ
ejpam-3980	229	2	fe⊆̃(1	fe⊆̃(1	NOUN
ejpam-3980	229	3	,	,	PUNCT
ejpam-3980	229	4	2)∗-fsbcl(fe	2)∗-fsbcl(fe	NUM
ejpam-3980	229	5	)	)	PUNCT
ejpam-3980	229	6	then	then	ADV
ejpam-3980	229	7	fe	fe	X
ejpam-3980	230	1	=	=	PUNCT
ejpam-3980	230	2	f1e	f1e	PROPN
ejpam-3980	230	3	∪̃f2e	∪̃f2e	PROPN
ejpam-3980	230	4	and	and	CCONJ
ejpam-3980	230	5	since	since	SCONJ
ejpam-3980	230	6	fe	fe	X
ejpam-3980	230	7	is	be	AUX
ejpam-3980	230	8	(	(	PUNCT
ejpam-3980	230	9	1	1	NUM
ejpam-3980	230	10	,	,	PUNCT
ejpam-3980	230	11	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	230	12	soft	soft	ADJ
ejpam-3980	230	13	b	b	NOUN
ejpam-3980	230	14	-	-	PUNCT
ejpam-3980	230	15	connected	connect	VERB
ejpam-3980	230	16	set	set	NOUN
ejpam-3980	230	17	,	,	PUNCT
ejpam-3980	230	18	then	then	ADV
ejpam-3980	230	19	either	either	CCONJ
ejpam-3980	230	20	fe⊆̃f1e	fe⊆̃f1e	NOUN
ejpam-3980	230	21	or	or	CCONJ
ejpam-3980	230	22	fe⊆̃f2e	fe⊆̃f2e	ADJ
ejpam-3980	230	23	.	.	PUNCT
ejpam-3980	231	1	if	if	SCONJ
ejpam-3980	231	2	fe⊆̃f1e	fe⊆̃f1e	PROPN
ejpam-3980	231	3	then	then	ADV
ejpam-3980	231	4	(	(	PUNCT
ejpam-3980	231	5	1	1	NUM
ejpam-3980	231	6	,	,	PUNCT
ejpam-3980	231	7	2)∗-fsbcl(fe)⊆̃(1	2)∗-fsbcl(fe)⊆̃(1	NUM
ejpam-3980	231	8	,	,	PUNCT
ejpam-3980	231	9	2)∗-fsbcl(f1e	2)∗-fsbcl(f1e	NUM
ejpam-3980	231	10	)	)	PUNCT
ejpam-3980	231	11	.	.	PUNCT
ejpam-3980	232	1	but	but	CCONJ
ejpam-3980	232	2	(	(	PUNCT
ejpam-3980	232	3	1	1	NUM
ejpam-3980	232	4	,	,	PUNCT
ejpam-3980	232	5	2)∗-fsbcl(f1e	2)∗-fsbcl(f1e	NUM
ejpam-3980	232	6	)	)	PUNCT
ejpam-3980	232	7	∩̃f2e	∩̃f2e	NOUN
ejpam-3980	232	8	=	=	SYM
ejpam-3980	232	9	0̃e	0̃e	INTJ
ejpam-3980	232	10	,	,	PUNCT
ejpam-3980	232	11	hence	hence	ADV
ejpam-3980	232	12	(	(	PUNCT
ejpam-3980	232	13	1	1	NUM
ejpam-3980	232	14	,	,	PUNCT
ejpam-3980	232	15	2)∗-fsbcl(fe)∩̃f2e	2)∗-fsbcl(fe)∩̃f2e	NUM
ejpam-3980	232	16	=	=	SYM
ejpam-3980	232	17	0̃e	0̃e	INTJ
ejpam-3980	232	18	.	.	PUNCT
ejpam-3980	233	1	since	since	SCONJ
ejpam-3980	233	2	f2e	f2e	ADJ
ejpam-3980	233	3	⊆̃(1	⊆̃(1	NOUN
ejpam-3980	233	4	,	,	PUNCT
ejpam-3980	233	5	2)∗-fsbcl(fe	2)∗-fsbcl(fe	NUM
ejpam-3980	233	6	)	)	PUNCT
ejpam-3980	233	7	,	,	PUNCT
ejpam-3980	233	8	then	then	ADV
ejpam-3980	233	9	(	(	PUNCT
ejpam-3980	233	10	1	1	NUM
ejpam-3980	233	11	,	,	PUNCT
ejpam-3980	233	12	2)∗-fsbcl(fe)∩̃f2e	2)∗-fsbcl(fe)∩̃f2e	NUM
ejpam-3980	233	13	=	=	SYM
ejpam-3980	233	14	f2e	f2e	NOUN
ejpam-3980	233	15	;	;	PUNCT
ejpam-3980	233	16	hence	hence	ADV
ejpam-3980	233	17	f2e	f2e	PROPN
ejpam-3980	233	18	=	=	SYM
ejpam-3980	233	19	0̃e	0̃e	INTJ
ejpam-3980	233	20	which	which	PRON
ejpam-3980	233	21	is	be	AUX
ejpam-3980	233	22	a	a	DET
ejpam-3980	233	23	contradiction	contradiction	NOUN
ejpam-3980	233	24	.	.	PUNCT
ejpam-3980	234	1	if	if	SCONJ
ejpam-3980	234	2	fe⊆̃f1e	fe⊆̃f1e	NOUN
ejpam-3980	234	3	,	,	PUNCT
ejpam-3980	234	4	then	then	ADV
ejpam-3980	234	5	by	by	ADP
ejpam-3980	234	6	the	the	DET
ejpam-3980	234	7	same	same	ADJ
ejpam-3980	234	8	way	way	NOUN
ejpam-3980	234	9	we	we	PRON
ejpam-3980	234	10	can	can	AUX
ejpam-3980	234	11	prove	prove	VERB
ejpam-3980	234	12	that	that	SCONJ
ejpam-3980	234	13	f1e	f1e	PROPN
ejpam-3980	234	14	=	=	PUNCT
ejpam-3980	234	15	0̃e	0̃e	PROPN
ejpam-3980	234	16	,	,	PUNCT
ejpam-3980	234	17	which	which	PRON
ejpam-3980	234	18	is	be	AUX
ejpam-3980	234	19	a	a	DET
ejpam-3980	234	20	contradiction	contradiction	NOUN
ejpam-3980	234	21	.	.	PUNCT
ejpam-3980	235	1	therefore	therefore	ADV
ejpam-3980	235	2	(	(	PUNCT
ejpam-3980	235	3	1	1	NUM
ejpam-3980	235	4	,	,	PUNCT
ejpam-3980	235	5	2)∗-fsbcl(fe	2)∗-fsbcl(fe	NUM
ejpam-3980	235	6	)	)	PUNCT
ejpam-3980	235	7	is	be	AUX
ejpam-3980	235	8	(	(	PUNCT
ejpam-3980	235	9	1	1	NUM
ejpam-3980	235	10	,	,	PUNCT
ejpam-3980	235	11	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	235	12	soft	soft	ADJ
ejpam-3980	235	13	b	b	NOUN
ejpam-3980	235	14	-	-	PUNCT
ejpam-3980	235	15	connected	connect	VERB
ejpam-3980	235	16	.	.	PUNCT
ejpam-3980	236	1	theorem	theorem	VERB
ejpam-3980	236	2	4	4	NUM
ejpam-3980	236	3	.	.	PUNCT
ejpam-3980	237	1	the	the	DET
ejpam-3980	237	2	fuzzy	fuzzy	ADJ
ejpam-3980	237	3	soft	soft	ADJ
ejpam-3980	237	4	union	union	PROPN
ejpam-3980	237	5	fe	fe	NOUN
ejpam-3980	237	6	of	of	ADP
ejpam-3980	237	7	any	any	DET
ejpam-3980	237	8	family	family	NOUN
ejpam-3980	237	9	{	{	PUNCT
ejpam-3980	237	10	fie	fie	NOUN
ejpam-3980	237	11	:	:	PUNCT
ejpam-3980	237	12	i	i	PRON
ejpam-3980	237	13	∈	∈	VERB
ejpam-3980	237	14	i	i	X
ejpam-3980	237	15	}	}	PUNCT
ejpam-3980	237	16	of	of	ADP
ejpam-3980	237	17	(	(	PUNCT
ejpam-3980	237	18	1	1	NUM
ejpam-3980	237	19	,	,	PUNCT
ejpam-3980	237	20	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	237	21	soft	soft	ADJ
ejpam-3980	237	22	bconnected	bconnected	ADJ
ejpam-3980	237	23	sets	set	NOUN
ejpam-3980	237	24	having	have	VERB
ejpam-3980	237	25	a	a	DET
ejpam-3980	237	26	non	non	ADJ
ejpam-3980	237	27	-	-	ADJ
ejpam-3980	237	28	empty	empty	ADJ
ejpam-3980	237	29	fuzzy	fuzzy	ADJ
ejpam-3980	237	30	soft	soft	ADJ
ejpam-3980	237	31	intersection	intersection	NOUN
ejpam-3980	237	32	is	be	AUX
ejpam-3980	237	33	(	(	PUNCT
ejpam-3980	237	34	1	1	NUM
ejpam-3980	237	35	,	,	PUNCT
ejpam-3980	237	36	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	237	37	soft	soft	ADJ
ejpam-3980	237	38	b	b	NOUN
ejpam-3980	237	39	-	-	PUNCT
ejpam-3980	237	40	connected	connect	VERB
ejpam-3980	237	41	.	.	PUNCT
ejpam-3980	238	1	proof	proof	NOUN
ejpam-3980	238	2	.	.	PUNCT
ejpam-3980	239	1	let	let	VERB
ejpam-3980	239	2	fe	fe	X
ejpam-3980	239	3	be	be	AUX
ejpam-3980	239	4	fuzzy	fuzzy	ADJ
ejpam-3980	239	5	soft	soft	ADJ
ejpam-3980	239	6	union	union	NOUN
ejpam-3980	239	7	of	of	ADP
ejpam-3980	239	8	any	any	DET
ejpam-3980	239	9	family	family	NOUN
ejpam-3980	239	10	of	of	ADP
ejpam-3980	239	11	(	(	PUNCT
ejpam-3980	239	12	1	1	NUM
ejpam-3980	239	13	,	,	PUNCT
ejpam-3980	239	14	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	239	15	soft	soft	ADJ
ejpam-3980	239	16	b	b	NOUN
ejpam-3980	239	17	-	-	PUNCT
ejpam-3980	239	18	connected	connect	VERB
ejpam-3980	239	19	sets	set	NOUN
ejpam-3980	239	20	having	have	VERB
ejpam-3980	239	21	a	a	DET
ejpam-3980	239	22	non	non	ADJ
ejpam-3980	239	23	-	-	ADJ
ejpam-3980	239	24	empty	empty	ADJ
ejpam-3980	239	25	fuzzy	fuzzy	ADJ
ejpam-3980	239	26	soft	soft	ADJ
ejpam-3980	239	27	intersection	intersection	NOUN
ejpam-3980	239	28	.	.	PUNCT
ejpam-3980	240	1	suppose	suppose	VERB
ejpam-3980	240	2	that	that	SCONJ
ejpam-3980	240	3	fe	fe	PROPN
ejpam-3980	240	4	=	=	PUNCT
ejpam-3980	240	5	f1e	f1e	PROPN
ejpam-3980	240	6	∪̃f2e	∪̃f2e	PROPN
ejpam-3980	240	7	,	,	PUNCT
ejpam-3980	240	8	where	where	SCONJ
ejpam-3980	240	9	f1e	f1e	PROPN
ejpam-3980	240	10	and	and	CCONJ
ejpam-3980	240	11	f2e	f2e	VERB
ejpam-3980	240	12	form	form	NOUN
ejpam-3980	240	13	a	a	DET
ejpam-3980	240	14	(	(	PUNCT
ejpam-3980	240	15	1	1	NUM
ejpam-3980	240	16	,	,	PUNCT
ejpam-3980	240	17	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	240	18	soft	soft	ADJ
ejpam-3980	240	19	b	b	NOUN
ejpam-3980	240	20	-	-	PUNCT
ejpam-3980	240	21	separation	separation	NOUN
ejpam-3980	240	22	of	of	ADP
ejpam-3980	240	23	fe	fe	NOUN
ejpam-3980	240	24	.	.	PUNCT
ejpam-3980	241	1	by	by	ADP
ejpam-3980	241	2	hypothesis	hypothesis	NOUN
ejpam-3980	241	3	,	,	PUNCT
ejpam-3980	241	4	we	we	PRON
ejpam-3980	241	5	may	may	AUX
ejpam-3980	241	6	choose	choose	VERB
ejpam-3980	241	7	a	a	DET
ejpam-3980	241	8	fuzzy	fuzzy	ADJ
ejpam-3980	241	9	soft	soft	ADJ
ejpam-3980	241	10	point	point	NOUN
ejpam-3980	241	11	fe∈̃	fe∈̃	PUNCT
ejpam-3980	241	12	⋂̃	⋂̃	ADJ
ejpam-3980	241	13	i∈ifie	i∈ifie	NOUN
ejpam-3980	241	14	.	.	PUNCT
ejpam-3980	242	1	then	then	ADV
ejpam-3980	242	2	fe∈̃fie	fe∈̃fie	NUM
ejpam-3980	242	3	for	for	ADP
ejpam-3980	242	4	all	all	PRON
ejpam-3980	242	5	i	i	PRON
ejpam-3980	242	6	∈	∈	PROPN
ejpam-3980	242	7	i.	i.	NOUN
ejpam-3980	242	8	if	if	SCONJ
ejpam-3980	242	9	fe∈̃fe	fe∈̃fe	NUM
ejpam-3980	242	10	,	,	PUNCT
ejpam-3980	242	11	then	then	ADV
ejpam-3980	242	12	either	either	CCONJ
ejpam-3980	242	13	fe∈̃f1e	fe∈̃f1e	PROPN
ejpam-3980	242	14	or	or	CCONJ
ejpam-3980	242	15	fe∈̃f2e	fe∈̃f2e	PROPN
ejpam-3980	242	16	but	but	CCONJ
ejpam-3980	242	17	not	not	PART
ejpam-3980	242	18	both	both	PRON
ejpam-3980	242	19	.	.	PUNCT
ejpam-3980	243	1	since	since	SCONJ
ejpam-3980	243	2	f1e	f1e	PROPN
ejpam-3980	243	3	and	and	CCONJ
ejpam-3980	243	4	f2e	f2e	PROPN
ejpam-3980	243	5	are	be	AUX
ejpam-3980	243	6	fuzzy	fuzzy	ADJ
ejpam-3980	243	7	soft	soft	ADJ
ejpam-3980	243	8	disjoint	disjoint	NOUN
ejpam-3980	243	9	,	,	PUNCT
ejpam-3980	243	10	we	we	PRON
ejpam-3980	243	11	must	must	AUX
ejpam-3980	243	12	have	have	VERB
ejpam-3980	243	13	fie	fie	PROPN
ejpam-3980	243	14	⊆̃f1e	⊆̃f1e	NOUN
ejpam-3980	243	15	,	,	PUNCT
ejpam-3980	243	16	since	since	SCONJ
ejpam-3980	243	17	fie	fie	NOUN
ejpam-3980	243	18	is	be	AUX
ejpam-3980	243	19	(	(	PUNCT
ejpam-3980	243	20	1	1	NUM
ejpam-3980	243	21	,	,	PUNCT
ejpam-3980	243	22	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	243	23	soft	soft	ADJ
ejpam-3980	243	24	b	b	NOUN
ejpam-3980	243	25	-	-	PUNCT
ejpam-3980	243	26	connected	connected	ADJ
ejpam-3980	243	27	and	and	CCONJ
ejpam-3980	243	28	it	it	PRON
ejpam-3980	243	29	is	be	AUX
ejpam-3980	243	30	true	true	ADJ
ejpam-3980	243	31	for	for	ADP
ejpam-3980	243	32	all	all	PRON
ejpam-3980	243	33	i	i	PRON
ejpam-3980	243	34	∈	∈	PROPN
ejpam-3980	244	1	i	i	PRON
ejpam-3980	244	2	,	,	PUNCT
ejpam-3980	244	3	and	and	CCONJ
ejpam-3980	244	4	so	so	ADV
ejpam-3980	244	5	fe⊆̃fie	fe⊆̃fie	PROPN
ejpam-3980	244	6	.	.	PUNCT
ejpam-3980	245	1	from	from	ADP
ejpam-3980	245	2	this	this	PRON
ejpam-3980	245	3	we	we	PRON
ejpam-3980	245	4	obtain	obtain	VERB
ejpam-3980	245	5	that	that	DET
ejpam-3980	245	6	f2e	f2e	NOUN
ejpam-3980	245	7	=	=	SYM
ejpam-3980	245	8	0̃e	0̃e	PROPN
ejpam-3980	245	9	;	;	PUNCT
ejpam-3980	245	10	which	which	PRON
ejpam-3980	245	11	is	be	AUX
ejpam-3980	245	12	a	a	DET
ejpam-3980	245	13	contradiction	contradiction	NOUN
ejpam-3980	245	14	.	.	PUNCT
ejpam-3980	246	1	thus	thus	ADV
ejpam-3980	246	2	,	,	PUNCT
ejpam-3980	246	3	there	there	PRON
ejpam-3980	246	4	does	do	AUX
ejpam-3980	246	5	not	not	PART
ejpam-3980	246	6	exist	exist	VERB
ejpam-3980	246	7	a	a	DET
ejpam-3980	246	8	(	(	PUNCT
ejpam-3980	246	9	1	1	NUM
ejpam-3980	246	10	,	,	PUNCT
ejpam-3980	246	11	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	246	12	soft	soft	ADJ
ejpam-3980	246	13	b	b	NOUN
ejpam-3980	246	14	-	-	PUNCT
ejpam-3980	246	15	separation	separation	NOUN
ejpam-3980	246	16	of	of	ADP
ejpam-3980	246	17	fe	fe	NOUN
ejpam-3980	246	18	.	.	PUNCT
ejpam-3980	247	1	therefore	therefore	ADV
ejpam-3980	247	2	,	,	PUNCT
ejpam-3980	247	3	fe	fe	X
ejpam-3980	247	4	is	be	AUX
ejpam-3980	247	5	a	a	DET
ejpam-3980	247	6	(	(	PUNCT
ejpam-3980	247	7	1	1	NUM
ejpam-3980	247	8	,	,	PUNCT
ejpam-3980	247	9	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	247	10	soft	soft	ADJ
ejpam-3980	247	11	b	b	NOUN
ejpam-3980	247	12	-	-	PUNCT
ejpam-3980	247	13	connected	connect	VERB
ejpam-3980	247	14	set	set	NOUN
ejpam-3980	247	15	.	.	PUNCT
ejpam-3980	248	1	theorem	theorem	VERB
ejpam-3980	248	2	5	5	NUM
ejpam-3980	248	3	.	.	PUNCT
ejpam-3980	249	1	(	(	PUNCT
ejpam-3980	249	2	i	i	NOUN
ejpam-3980	249	3	)	)	PUNCT
ejpam-3980	249	4	if	if	SCONJ
ejpam-3980	249	5	ψ	ψ	X
ejpam-3980	249	6	:	:	PUNCT
ejpam-3980	249	7	(	(	PUNCT
ejpam-3980	249	8	x	x	X
ejpam-3980	249	9	,	,	PUNCT
ejpam-3980	249	10	e	e	NOUN
ejpam-3980	249	11	,	,	PUNCT
ejpam-3980	249	12	τ1	τ1	NOUN
ejpam-3980	249	13	,	,	PUNCT
ejpam-3980	249	14	τ2	τ2	NOUN
ejpam-3980	249	15	)	)	PUNCT
ejpam-3980	249	16	→	→	SYM
ejpam-3980	249	17	(	(	PUNCT
ejpam-3980	249	18	y	y	PROPN
ejpam-3980	249	19	,	,	PUNCT
ejpam-3980	249	20	e	e	PROPN
ejpam-3980	249	21	,	,	PUNCT
ejpam-3980	249	22	σ1	σ1	PROPN
ejpam-3980	249	23	,	,	PUNCT
ejpam-3980	249	24	σ2	σ2	PROPN
ejpam-3980	249	25	)	)	PUNCT
ejpam-3980	249	26	is	be	AUX
ejpam-3980	249	27	a	a	DET
ejpam-3980	249	28	(	(	PUNCT
ejpam-3980	249	29	1	1	NUM
ejpam-3980	249	30	,	,	PUNCT
ejpam-3980	249	31	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	249	32	soft	soft	ADJ
ejpam-3980	249	33	b	b	NOUN
ejpam-3980	249	34	-	-	PUNCT
ejpam-3980	249	35	continuous	continuous	ADJ
ejpam-3980	249	36	surjection	surjection	NOUN
ejpam-3980	249	37	and	and	CCONJ
ejpam-3980	249	38	(	(	PUNCT
ejpam-3980	249	39	x	x	X
ejpam-3980	249	40	,	,	PUNCT
ejpam-3980	249	41	e	e	NOUN
ejpam-3980	249	42	,	,	PUNCT
ejpam-3980	249	43	τ1	τ1	NOUN
ejpam-3980	249	44	,	,	PUNCT
ejpam-3980	249	45	τ2	τ2	NOUN
ejpam-3980	249	46	)	)	PUNCT
ejpam-3980	249	47	is	be	AUX
ejpam-3980	249	48	(	(	PUNCT
ejpam-3980	249	49	1	1	NUM
ejpam-3980	249	50	,	,	PUNCT
ejpam-3980	249	51	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	249	52	soft	soft	ADJ
ejpam-3980	249	53	b	b	NOUN
ejpam-3980	249	54	-	-	PUNCT
ejpam-3980	249	55	connected	connected	ADJ
ejpam-3980	249	56	then	then	ADV
ejpam-3980	249	57	(	(	PUNCT
ejpam-3980	249	58	y	y	PROPN
ejpam-3980	249	59	,	,	PUNCT
ejpam-3980	249	60	e	e	PROPN
ejpam-3980	249	61	,	,	PUNCT
ejpam-3980	249	62	σ1	σ1	PROPN
ejpam-3980	249	63	,	,	PUNCT
ejpam-3980	249	64	σ2	σ2	PROPN
ejpam-3980	249	65	)	)	PUNCT
ejpam-3980	249	66	is	be	AUX
ejpam-3980	249	67	(	(	PUNCT
ejpam-3980	249	68	1	1	NUM
ejpam-3980	249	69	,	,	PUNCT
ejpam-3980	249	70	2)∗fuzzy	2)∗fuzzy	NUM
ejpam-3980	249	71	soft	soft	ADJ
ejpam-3980	249	72	connected	connect	VERB
ejpam-3980	249	73	.	.	PUNCT
ejpam-3980	250	1	(	(	PUNCT
ejpam-3980	250	2	ii	ii	NOUN
ejpam-3980	250	3	)	)	PUNCT
ejpam-3980	250	4	if	if	SCONJ
ejpam-3980	250	5	ψ	ψ	X
ejpam-3980	250	6	:	:	PUNCT
ejpam-3980	250	7	(	(	PUNCT
ejpam-3980	250	8	x	x	X
ejpam-3980	250	9	,	,	PUNCT
ejpam-3980	250	10	e	e	NOUN
ejpam-3980	250	11	,	,	PUNCT
ejpam-3980	250	12	τ1	τ1	NOUN
ejpam-3980	250	13	,	,	PUNCT
ejpam-3980	250	14	τ2	τ2	NOUN
ejpam-3980	250	15	)	)	PUNCT
ejpam-3980	250	16	→	→	SYM
ejpam-3980	250	17	(	(	PUNCT
ejpam-3980	250	18	y	y	PROPN
ejpam-3980	250	19	,	,	PUNCT
ejpam-3980	250	20	e	e	PROPN
ejpam-3980	250	21	,	,	PUNCT
ejpam-3980	250	22	σ1	σ1	PROPN
ejpam-3980	250	23	,	,	PUNCT
ejpam-3980	250	24	σ2	σ2	PROPN
ejpam-3980	250	25	)	)	PUNCT
ejpam-3980	250	26	is	be	AUX
ejpam-3980	250	27	a	a	DET
ejpam-3980	250	28	(	(	PUNCT
ejpam-3980	250	29	1	1	NUM
ejpam-3980	250	30	,	,	PUNCT
ejpam-3980	250	31	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	250	32	soft	soft	ADJ
ejpam-3980	250	33	b	b	NOUN
ejpam-3980	250	34	-	-	PUNCT
ejpam-3980	250	35	irresolute	irresolute	ADJ
ejpam-3980	250	36	surjection	surjection	NOUN
ejpam-3980	250	37	and	and	CCONJ
ejpam-3980	250	38	(	(	PUNCT
ejpam-3980	250	39	x	x	X
ejpam-3980	250	40	,	,	PUNCT
ejpam-3980	250	41	e	e	NOUN
ejpam-3980	250	42	,	,	PUNCT
ejpam-3980	250	43	τ1	τ1	NOUN
ejpam-3980	250	44	,	,	PUNCT
ejpam-3980	250	45	τ2	τ2	NOUN
ejpam-3980	250	46	)	)	PUNCT
ejpam-3980	250	47	is	be	AUX
ejpam-3980	250	48	(	(	PUNCT
ejpam-3980	250	49	1	1	NUM
ejpam-3980	250	50	,	,	PUNCT
ejpam-3980	250	51	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	250	52	soft	soft	ADJ
ejpam-3980	250	53	b	b	NOUN
ejpam-3980	250	54	-	-	PUNCT
ejpam-3980	250	55	connected	connected	ADJ
ejpam-3980	250	56	then	then	ADV
ejpam-3980	250	57	(	(	PUNCT
ejpam-3980	250	58	y	y	PROPN
ejpam-3980	250	59	,	,	PUNCT
ejpam-3980	250	60	e	e	PROPN
ejpam-3980	250	61	,	,	PUNCT
ejpam-3980	250	62	σ1	σ1	PROPN
ejpam-3980	250	63	,	,	PUNCT
ejpam-3980	250	64	σ2	σ2	PROPN
ejpam-3980	250	65	)	)	PUNCT
ejpam-3980	250	66	is	be	AUX
ejpam-3980	250	67	(	(	PUNCT
ejpam-3980	250	68	1	1	NUM
ejpam-3980	250	69	,	,	PUNCT
ejpam-3980	250	70	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	250	71	soft	soft	ADJ
ejpam-3980	250	72	b	b	NOUN
ejpam-3980	250	73	-	-	PUNCT
ejpam-3980	250	74	connected	connect	VERB
ejpam-3980	250	75	.	.	PUNCT
ejpam-3980	251	1	a.	a.	PROPN
ejpam-3980	251	2	f.	f.	PROPN
ejpam-3980	251	3	sayed	say	VERB
ejpam-3980	251	4	/	/	SYM
ejpam-3980	251	5	eur	eur	PROPN
ejpam-3980	251	6	.	.	PUNCT
ejpam-3980	252	1	j.	j.	PROPN
ejpam-3980	252	2	pure	pure	PROPN
ejpam-3980	252	3	appl	appl	PROPN
ejpam-3980	252	4	.	.	PROPN
ejpam-3980	252	5	math	math	PROPN
ejpam-3980	252	6	,	,	PUNCT
ejpam-3980	252	7	14	14	NUM
ejpam-3980	252	8	(	(	PUNCT
ejpam-3980	252	9	3	3	NUM
ejpam-3980	252	10	)	)	PUNCT
ejpam-3980	252	11	(	(	PUNCT
ejpam-3980	252	12	2021	2021	NUM
ejpam-3980	252	13	)	)	PUNCT
ejpam-3980	252	14	,	,	PUNCT
ejpam-3980	252	15	760	760	NUM
ejpam-3980	252	16	-	-	SYM
ejpam-3980	252	17	772	772	NUM
ejpam-3980	252	18	768	768	NUM
ejpam-3980	252	19	proof	proof	NOUN
ejpam-3980	252	20	.	.	PUNCT
ejpam-3980	253	1	(	(	PUNCT
ejpam-3980	253	2	i	i	NOUN
ejpam-3980	253	3	)	)	PUNCT
ejpam-3980	253	4	suppose	suppose	VERB
ejpam-3980	253	5	(	(	PUNCT
ejpam-3980	253	6	y	y	PROPN
ejpam-3980	253	7	,	,	PUNCT
ejpam-3980	253	8	e	e	PROPN
ejpam-3980	253	9	,	,	PUNCT
ejpam-3980	253	10	σ1	σ1	PROPN
ejpam-3980	253	11	,	,	PUNCT
ejpam-3980	253	12	σ2	σ2	PROPN
ejpam-3980	253	13	)	)	PUNCT
ejpam-3980	253	14	is	be	AUX
ejpam-3980	253	15	not	not	PART
ejpam-3980	253	16	(	(	PUNCT
ejpam-3980	253	17	1	1	NUM
ejpam-3980	253	18	,	,	PUNCT
ejpam-3980	253	19	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	253	20	soft	soft	ADJ
ejpam-3980	253	21	connected	connect	VERB
ejpam-3980	253	22	.	.	PUNCT
ejpam-3980	254	1	let	let	VERB
ejpam-3980	254	2	y	y	NOUN
ejpam-3980	254	3	=	=	PUNCT
ejpam-3980	254	4	fe∪̃ge	fe∪̃ge	INTJ
ejpam-3980	254	5	,	,	PUNCT
ejpam-3980	254	6	where	where	SCONJ
ejpam-3980	254	7	fe	fe	X
ejpam-3980	254	8	and	and	CCONJ
ejpam-3980	254	9	ge	ge	PROPN
ejpam-3980	254	10	are	be	AUX
ejpam-3980	254	11	fuzzy	fuzzy	ADJ
ejpam-3980	254	12	soft	soft	ADJ
ejpam-3980	254	13	disjoint	disjoint	ADJ
ejpam-3980	254	14	non	non	ADJ
ejpam-3980	254	15	-	-	ADJ
ejpam-3980	254	16	empty	empty	ADJ
ejpam-3980	254	17	σ1σ2)-fuzzy	σ1σ2)-fuzzy	ADJ
ejpam-3980	254	18	soft	soft	ADJ
ejpam-3980	254	19	open	open	ADJ
ejpam-3980	254	20	sets	set	NOUN
ejpam-3980	254	21	in	in	ADP
ejpam-3980	254	22	(	(	PUNCT
ejpam-3980	254	23	y	y	PROPN
ejpam-3980	254	24	,	,	PUNCT
ejpam-3980	254	25	e	e	NOUN
ejpam-3980	254	26	,	,	PUNCT
ejpam-3980	254	27	σ1	σ1	PROPN
ejpam-3980	254	28	,	,	PUNCT
ejpam-3980	254	29	σ2	σ2	NOUN
ejpam-3980	254	30	)	)	PUNCT
ejpam-3980	254	31	.	.	PUNCT
ejpam-3980	255	1	since	since	SCONJ
ejpam-3980	255	2	ψ	ψ	NOUN
ejpam-3980	255	3	is	be	AUX
ejpam-3980	255	4	(	(	PUNCT
ejpam-3980	255	5	1	1	NUM
ejpam-3980	255	6	,	,	PUNCT
ejpam-3980	255	7	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	255	8	soft	soft	ADJ
ejpam-3980	255	9	b	b	NOUN
ejpam-3980	255	10	-	-	PUNCT
ejpam-3980	255	11	continuous	continuous	ADJ
ejpam-3980	255	12	and	and	CCONJ
ejpam-3980	255	13	onto	onto	ADP
ejpam-3980	255	14	;	;	PUNCT
ejpam-3980	255	15	1̃e	1̃e	NUM
ejpam-3980	255	16	=	=	SYM
ejpam-3980	255	17	ψ−1(fe)∪̃ψ−1(ge	ψ−1(fe)∪̃ψ−1(ge	NOUN
ejpam-3980	255	18	)	)	PUNCT
ejpam-3980	255	19	,	,	PUNCT
ejpam-3980	255	20	where	where	SCONJ
ejpam-3980	255	21	ψ−1(fe	ψ−1(fe	NUM
ejpam-3980	255	22	)	)	PUNCT
ejpam-3980	255	23	and	and	CCONJ
ejpam-3980	255	24	ψ−1(ge	ψ−1(ge	PROPN
ejpam-3980	255	25	)	)	PUNCT
ejpam-3980	255	26	are	be	AUX
ejpam-3980	255	27	fuzzy	fuzzy	ADJ
ejpam-3980	255	28	soft	soft	ADJ
ejpam-3980	255	29	disjoint	disjoint	ADJ
ejpam-3980	255	30	non	non	ADJ
ejpam-3980	255	31	-	-	ADJ
ejpam-3980	255	32	empty	empty	ADJ
ejpam-3980	255	33	(	(	PUNCT
ejpam-3980	255	34	1	1	NUM
ejpam-3980	255	35	,	,	PUNCT
ejpam-3980	255	36	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	255	37	soft	soft	ADJ
ejpam-3980	255	38	b	b	NOUN
ejpam-3980	255	39	-	-	PUNCT
ejpam-3980	255	40	open	open	ADJ
ejpam-3980	255	41	sets	set	NOUN
ejpam-3980	255	42	in	in	ADP
ejpam-3980	255	43	(	(	PUNCT
ejpam-3980	255	44	x	x	NOUN
ejpam-3980	255	45	,	,	PUNCT
ejpam-3980	255	46	e	e	NOUN
ejpam-3980	255	47	,	,	PUNCT
ejpam-3980	255	48	τ1	τ1	NOUN
ejpam-3980	255	49	,	,	PUNCT
ejpam-3980	255	50	τ2	τ2	NOUN
ejpam-3980	255	51	)	)	PUNCT
ejpam-3980	255	52	.	.	PUNCT
ejpam-3980	256	1	this	this	PRON
ejpam-3980	256	2	contradicts	contradict	VERB
ejpam-3980	256	3	the	the	DET
ejpam-3980	256	4	fact	fact	NOUN
ejpam-3980	256	5	that	that	SCONJ
ejpam-3980	256	6	(	(	PUNCT
ejpam-3980	256	7	x	x	X
ejpam-3980	256	8	,	,	PUNCT
ejpam-3980	256	9	e	e	NOUN
ejpam-3980	256	10	,	,	PUNCT
ejpam-3980	256	11	τ1	τ1	NOUN
ejpam-3980	256	12	,	,	PUNCT
ejpam-3980	256	13	τ2	τ2	NOUN
ejpam-3980	256	14	)	)	PUNCT
ejpam-3980	256	15	is	be	AUX
ejpam-3980	256	16	(	(	PUNCT
ejpam-3980	256	17	1	1	NUM
ejpam-3980	256	18	,	,	PUNCT
ejpam-3980	256	19	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	256	20	soft	soft	ADJ
ejpam-3980	256	21	bconnected	bconnected	ADJ
ejpam-3980	256	22	.	.	PUNCT
ejpam-3980	257	1	hence	hence	ADV
ejpam-3980	257	2	(	(	PUNCT
ejpam-3980	257	3	y	y	PROPN
ejpam-3980	257	4	,	,	PUNCT
ejpam-3980	257	5	e	e	PROPN
ejpam-3980	257	6	,	,	PUNCT
ejpam-3980	257	7	σ1	σ1	PROPN
ejpam-3980	257	8	,	,	PUNCT
ejpam-3980	257	9	σ2	σ2	PROPN
ejpam-3980	257	10	)	)	PUNCT
ejpam-3980	257	11	is	be	AUX
ejpam-3980	257	12	(	(	PUNCT
ejpam-3980	257	13	1	1	NUM
ejpam-3980	257	14	,	,	PUNCT
ejpam-3980	257	15	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	257	16	soft	soft	ADJ
ejpam-3980	257	17	connected	connect	VERB
ejpam-3980	257	18	.	.	PUNCT
ejpam-3980	258	1	(	(	PUNCT
ejpam-3980	258	2	ii	ii	NOUN
ejpam-3980	258	3	)	)	PUNCT
ejpam-3980	258	4	suppose	suppose	VERB
ejpam-3980	258	5	(	(	PUNCT
ejpam-3980	258	6	y	y	PROPN
ejpam-3980	258	7	,	,	PUNCT
ejpam-3980	258	8	e	e	PROPN
ejpam-3980	258	9	,	,	PUNCT
ejpam-3980	258	10	σ1	σ1	PROPN
ejpam-3980	258	11	,	,	PUNCT
ejpam-3980	258	12	σ2	σ2	PROPN
ejpam-3980	258	13	)	)	PUNCT
ejpam-3980	258	14	is	be	AUX
ejpam-3980	258	15	not	not	PART
ejpam-3980	258	16	(	(	PUNCT
ejpam-3980	258	17	1	1	NUM
ejpam-3980	258	18	,	,	PUNCT
ejpam-3980	258	19	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	258	20	soft	soft	ADJ
ejpam-3980	258	21	b	b	NOUN
ejpam-3980	258	22	-	-	PUNCT
ejpam-3980	258	23	connected	connect	VERB
ejpam-3980	258	24	.	.	PUNCT
ejpam-3980	259	1	let	let	VERB
ejpam-3980	259	2	y	y	NOUN
ejpam-3980	259	3	=	=	PUNCT
ejpam-3980	259	4	fe∪̃ge	fe∪̃ge	INTJ
ejpam-3980	259	5	,	,	PUNCT
ejpam-3980	259	6	where	where	SCONJ
ejpam-3980	259	7	fe	fe	X
ejpam-3980	259	8	and	and	CCONJ
ejpam-3980	259	9	ge	ge	PROPN
ejpam-3980	259	10	are	be	AUX
ejpam-3980	259	11	fuzzy	fuzzy	ADJ
ejpam-3980	259	12	soft	soft	ADJ
ejpam-3980	259	13	disjoint	disjoint	ADJ
ejpam-3980	259	14	non	non	ADJ
ejpam-3980	259	15	-	-	ADJ
ejpam-3980	259	16	empty	empty	ADJ
ejpam-3980	259	17	(	(	PUNCT
ejpam-3980	259	18	1	1	NUM
ejpam-3980	259	19	,	,	PUNCT
ejpam-3980	259	20	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	259	21	soft	soft	ADJ
ejpam-3980	259	22	b	b	NOUN
ejpam-3980	259	23	-	-	PUNCT
ejpam-3980	259	24	open	open	ADJ
ejpam-3980	259	25	sets	set	NOUN
ejpam-3980	259	26	in	in	ADP
ejpam-3980	259	27	(	(	PUNCT
ejpam-3980	259	28	y	y	PROPN
ejpam-3980	259	29	,	,	PUNCT
ejpam-3980	259	30	e	e	NOUN
ejpam-3980	259	31	,	,	PUNCT
ejpam-3980	259	32	σ1	σ1	PROPN
ejpam-3980	259	33	,	,	PUNCT
ejpam-3980	259	34	σ2	σ2	NOUN
ejpam-3980	259	35	)	)	PUNCT
ejpam-3980	259	36	.	.	PUNCT
ejpam-3980	260	1	since	since	SCONJ
ejpam-3980	260	2	ψ	ψ	NOUN
ejpam-3980	260	3	is	be	AUX
ejpam-3980	260	4	(	(	PUNCT
ejpam-3980	260	5	1	1	NUM
ejpam-3980	260	6	,	,	PUNCT
ejpam-3980	260	7	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	260	8	soft	soft	ADJ
ejpam-3980	260	9	b	b	NOUN
ejpam-3980	260	10	-	-	PUNCT
ejpam-3980	260	11	irresolute	irresolute	ADJ
ejpam-3980	260	12	and	and	CCONJ
ejpam-3980	260	13	onto	onto	ADP
ejpam-3980	260	14	;	;	PUNCT
ejpam-3980	260	15	then	then	ADV
ejpam-3980	260	16	1̃e	1̃e	NUM
ejpam-3980	260	17	=	=	SYM
ejpam-3980	260	18	ψ−1(fe)∪̃ψ−1(ge	ψ−1(fe)∪̃ψ−1(ge	NOUN
ejpam-3980	260	19	)	)	PUNCT
ejpam-3980	260	20	,	,	PUNCT
ejpam-3980	260	21	where	where	SCONJ
ejpam-3980	260	22	ψ−1(fe	ψ−1(fe	NUM
ejpam-3980	260	23	)	)	PUNCT
ejpam-3980	260	24	and	and	CCONJ
ejpam-3980	260	25	ψ−1(ge	ψ−1(ge	PROPN
ejpam-3980	260	26	)	)	PUNCT
ejpam-3980	260	27	are	be	AUX
ejpam-3980	260	28	fuzzy	fuzzy	ADJ
ejpam-3980	260	29	soft	soft	ADJ
ejpam-3980	260	30	disjoint	disjoint	ADJ
ejpam-3980	260	31	non	non	ADJ
ejpam-3980	260	32	-	-	ADJ
ejpam-3980	260	33	empty	empty	ADJ
ejpam-3980	260	34	(	(	PUNCT
ejpam-3980	260	35	1	1	NUM
ejpam-3980	260	36	,	,	PUNCT
ejpam-3980	260	37	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	260	38	soft	soft	ADJ
ejpam-3980	260	39	b	b	NOUN
ejpam-3980	260	40	-	-	PUNCT
ejpam-3980	260	41	open	open	ADJ
ejpam-3980	260	42	sets	set	NOUN
ejpam-3980	260	43	in	in	ADP
ejpam-3980	260	44	(	(	PUNCT
ejpam-3980	260	45	x	x	NOUN
ejpam-3980	260	46	,	,	PUNCT
ejpam-3980	260	47	e	e	NOUN
ejpam-3980	260	48	,	,	PUNCT
ejpam-3980	260	49	τ1	τ1	NOUN
ejpam-3980	260	50	,	,	PUNCT
ejpam-3980	260	51	τ2	τ2	NOUN
ejpam-3980	260	52	)	)	PUNCT
ejpam-3980	260	53	.	.	PUNCT
ejpam-3980	261	1	this	this	PRON
ejpam-3980	261	2	contradicts	contradict	VERB
ejpam-3980	261	3	the	the	DET
ejpam-3980	261	4	fact	fact	NOUN
ejpam-3980	261	5	that	that	SCONJ
ejpam-3980	261	6	(	(	PUNCT
ejpam-3980	261	7	x	x	X
ejpam-3980	261	8	,	,	PUNCT
ejpam-3980	261	9	e	e	NOUN
ejpam-3980	261	10	,	,	PUNCT
ejpam-3980	261	11	τ1	τ1	NOUN
ejpam-3980	261	12	,	,	PUNCT
ejpam-3980	261	13	τ2	τ2	NOUN
ejpam-3980	261	14	)	)	PUNCT
ejpam-3980	261	15	is	be	AUX
ejpam-3980	261	16	(	(	PUNCT
ejpam-3980	261	17	1	1	NUM
ejpam-3980	261	18	,	,	PUNCT
ejpam-3980	261	19	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	261	20	soft	soft	ADJ
ejpam-3980	261	21	b	b	NOUN
ejpam-3980	261	22	-	-	PUNCT
ejpam-3980	261	23	connected	connect	VERB
ejpam-3980	261	24	.	.	PUNCT
ejpam-3980	262	1	hence	hence	ADV
ejpam-3980	262	2	(	(	PUNCT
ejpam-3980	262	3	y	y	PROPN
ejpam-3980	262	4	,	,	PUNCT
ejpam-3980	262	5	e	e	PROPN
ejpam-3980	262	6	,	,	PUNCT
ejpam-3980	262	7	σ1	σ1	PROPN
ejpam-3980	262	8	,	,	PUNCT
ejpam-3980	262	9	σ2	σ2	PROPN
ejpam-3980	262	10	)	)	PUNCT
ejpam-3980	262	11	is	be	AUX
ejpam-3980	262	12	(	(	PUNCT
ejpam-3980	262	13	1	1	NUM
ejpam-3980	262	14	,	,	PUNCT
ejpam-3980	262	15	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	262	16	soft	soft	ADJ
ejpam-3980	262	17	b	b	NOUN
ejpam-3980	262	18	-	-	PUNCT
ejpam-3980	262	19	connected	connect	VERB
ejpam-3980	262	20	.	.	PUNCT
ejpam-3980	263	1	4	4	X
ejpam-3980	263	2	.	.	X
ejpam-3980	263	3	(	(	PUNCT
ejpam-3980	263	4	1	1	NUM
ejpam-3980	263	5	,	,	PUNCT
ejpam-3980	263	6	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	263	7	soft	soft	ADJ
ejpam-3980	263	8	b	b	NOUN
ejpam-3980	263	9	-	-	PUNCT
ejpam-3980	263	10	compactness	compactness	NOUN
ejpam-3980	263	11	in	in	ADP
ejpam-3980	263	12	this	this	DET
ejpam-3980	263	13	section	section	NOUN
ejpam-3980	263	14	(	(	PUNCT
ejpam-3980	263	15	1	1	NUM
ejpam-3980	263	16	,	,	PUNCT
ejpam-3980	263	17	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	263	18	soft	soft	ADJ
ejpam-3980	263	19	b	b	NOUN
ejpam-3980	263	20	-	-	PUNCT
ejpam-3980	263	21	compactness	compactness	NOUN
ejpam-3980	263	22	is	be	AUX
ejpam-3980	263	23	defined	define	VERB
ejpam-3980	263	24	and	and	CCONJ
ejpam-3980	263	25	some	some	PRON
ejpam-3980	263	26	of	of	ADP
ejpam-3980	263	27	the	the	DET
ejpam-3980	263	28	characterizations	characterization	NOUN
ejpam-3980	263	29	are	be	AUX
ejpam-3980	263	30	proved	prove	VERB
ejpam-3980	263	31	.	.	PUNCT
ejpam-3980	264	1	definition	definition	NOUN
ejpam-3980	264	2	23	23	NUM
ejpam-3980	264	3	.	.	PUNCT
ejpam-3980	265	1	a	a	DET
ejpam-3980	265	2	collection	collection	NOUN
ejpam-3980	265	3	{	{	PUNCT
ejpam-3980	265	4	fie	fie	NOUN
ejpam-3980	265	5	:	:	PUNCT
ejpam-3980	265	6	i	i	PROPN
ejpam-3980	265	7	∈	∈	PROPN
ejpam-3980	265	8	λ	λ	X
ejpam-3980	265	9	}	}	PUNCT
ejpam-3980	265	10	of	of	ADP
ejpam-3980	265	11	(	(	PUNCT
ejpam-3980	265	12	1	1	NUM
ejpam-3980	265	13	,	,	PUNCT
ejpam-3980	265	14	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	265	15	soft	soft	ADJ
ejpam-3980	265	16	b	b	NOUN
ejpam-3980	265	17	-	-	PUNCT
ejpam-3980	265	18	open	open	ADJ
ejpam-3980	265	19	sets	set	NOUN
ejpam-3980	265	20	in	in	ADP
ejpam-3980	265	21	fuzzy	fuzzy	ADJ
ejpam-3980	265	22	soft	soft	ADJ
ejpam-3980	265	23	bitopological	bitopological	ADJ
ejpam-3980	265	24	space	space	NOUN
ejpam-3980	265	25	(	(	PUNCT
ejpam-3980	265	26	x	x	X
ejpam-3980	265	27	,	,	PUNCT
ejpam-3980	265	28	e	e	NOUN
ejpam-3980	265	29	,	,	PUNCT
ejpam-3980	265	30	τ1	τ1	NOUN
ejpam-3980	265	31	,	,	PUNCT
ejpam-3980	265	32	τ2	τ2	NOUN
ejpam-3980	265	33	)	)	PUNCT
ejpam-3980	265	34	is	be	AUX
ejpam-3980	265	35	called	call	VERB
ejpam-3980	265	36	a	a	DET
ejpam-3980	265	37	(	(	PUNCT
ejpam-3980	265	38	1	1	NUM
ejpam-3980	265	39	,	,	PUNCT
ejpam-3980	265	40	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	265	41	soft	soft	ADJ
ejpam-3980	265	42	b	b	NOUN
ejpam-3980	265	43	-	-	PUNCT
ejpam-3980	265	44	cover	cover	NOUN
ejpam-3980	265	45	of	of	ADP
ejpam-3980	265	46	fe	fe	NOUN
ejpam-3980	265	47	if	if	SCONJ
ejpam-3980	265	48	fe⊆̃	fe⊆̃	PRON
ejpam-3980	265	49	⋃̃	⋃̃	X
ejpam-3980	265	50	{	{	PUNCT
ejpam-3980	265	51	fie	fie	NOUN
ejpam-3980	265	52	:	:	PUNCT
ejpam-3980	265	53	i	i	PROPN
ejpam-3980	265	54	∈	∈	PROPN
ejpam-3980	265	55	λ	λ	X
ejpam-3980	265	56	}	}	PUNCT
ejpam-3980	265	57	.	.	PUNCT
ejpam-3980	266	1	definition	definition	NOUN
ejpam-3980	266	2	24	24	NUM
ejpam-3980	266	3	.	.	PUNCT
ejpam-3980	267	1	a	a	DET
ejpam-3980	267	2	fuzzy	fuzzy	ADJ
ejpam-3980	267	3	soft	soft	ADJ
ejpam-3980	267	4	bitopological	bitopological	ADJ
ejpam-3980	267	5	space	space	NOUN
ejpam-3980	267	6	(	(	PUNCT
ejpam-3980	267	7	x	x	X
ejpam-3980	267	8	,	,	PUNCT
ejpam-3980	267	9	e	e	NOUN
ejpam-3980	267	10	,	,	PUNCT
ejpam-3980	267	11	τ1	τ1	NOUN
ejpam-3980	267	12	,	,	PUNCT
ejpam-3980	267	13	τ2	τ2	NOUN
ejpam-3980	267	14	)	)	PUNCT
ejpam-3980	267	15	is	be	AUX
ejpam-3980	267	16	called	call	VERB
ejpam-3980	267	17	a	a	DET
ejpam-3980	267	18	(	(	PUNCT
ejpam-3980	267	19	1	1	NUM
ejpam-3980	267	20	,	,	PUNCT
ejpam-3980	267	21	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	267	22	soft	soft	ADJ
ejpam-3980	267	23	b	b	NOUN
ejpam-3980	267	24	-	-	ADJ
ejpam-3980	267	25	compact	compact	ADJ
ejpam-3980	267	26	if	if	SCONJ
ejpam-3980	267	27	every	every	DET
ejpam-3980	267	28	(	(	PUNCT
ejpam-3980	267	29	1	1	NUM
ejpam-3980	267	30	,	,	PUNCT
ejpam-3980	267	31	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	267	32	soft	soft	ADJ
ejpam-3980	267	33	b	b	NOUN
ejpam-3980	267	34	-	-	PUNCT
ejpam-3980	267	35	open	open	ADJ
ejpam-3980	267	36	cover	cover	NOUN
ejpam-3980	267	37	of	of	ADP
ejpam-3980	267	38	1̃e	1̃e	PROPN
ejpam-3980	267	39	has	have	VERB
ejpam-3980	267	40	a	a	DET
ejpam-3980	267	41	finite	finite	ADJ
ejpam-3980	267	42	subcover	subcover	PROPN
ejpam-3980	267	43	.	.	PUNCT
ejpam-3980	268	1	definition	definition	NOUN
ejpam-3980	268	2	25	25	NUM
ejpam-3980	268	3	.	.	PUNCT
ejpam-3980	269	1	a	a	DET
ejpam-3980	269	2	fuzzy	fuzzy	ADJ
ejpam-3980	269	3	soft	soft	ADJ
ejpam-3980	269	4	subset	subset	ADJ
ejpam-3980	269	5	fe	fe	NOUN
ejpam-3980	269	6	of	of	ADP
ejpam-3980	269	7	fuzzy	fuzzy	ADJ
ejpam-3980	269	8	soft	soft	ADJ
ejpam-3980	269	9	bitopological	bitopological	ADJ
ejpam-3980	269	10	space	space	NOUN
ejpam-3980	269	11	(	(	PUNCT
ejpam-3980	269	12	x	x	X
ejpam-3980	269	13	,	,	PUNCT
ejpam-3980	269	14	e	e	NOUN
ejpam-3980	269	15	,	,	PUNCT
ejpam-3980	269	16	τ1	τ1	NOUN
ejpam-3980	269	17	,	,	PUNCT
ejpam-3980	269	18	τ2	τ2	NOUN
ejpam-3980	269	19	)	)	PUNCT
ejpam-3980	269	20	is	be	AUX
ejpam-3980	269	21	said	say	VERB
ejpam-3980	269	22	to	to	PART
ejpam-3980	269	23	be	be	AUX
ejpam-3980	269	24	(	(	PUNCT
ejpam-3980	269	25	1	1	NUM
ejpam-3980	269	26	,	,	PUNCT
ejpam-3980	269	27	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	269	28	soft	soft	ADJ
ejpam-3980	269	29	b	b	NOUN
ejpam-3980	269	30	-	-	ADJ
ejpam-3980	269	31	compact	compact	ADJ
ejpam-3980	269	32	relative	relative	NOUN
ejpam-3980	269	33	to	to	ADP
ejpam-3980	269	34	1̃e	1̃e	NUM
ejpam-3980	269	35	,	,	PUNCT
ejpam-3980	269	36	if	if	SCONJ
ejpam-3980	269	37	for	for	ADP
ejpam-3980	269	38	every	every	DET
ejpam-3980	269	39	collection	collection	NOUN
ejpam-3980	269	40	{	{	PUNCT
ejpam-3980	269	41	fie	fie	NOUN
ejpam-3980	269	42	:	:	PUNCT
ejpam-3980	269	43	i	i	PROPN
ejpam-3980	269	44	∈	∈	PROPN
ejpam-3980	269	45	λ	λ	X
ejpam-3980	269	46	}	}	PUNCT
ejpam-3980	269	47	of	of	ADP
ejpam-3980	269	48	(	(	PUNCT
ejpam-3980	269	49	1	1	NUM
ejpam-3980	269	50	,	,	PUNCT
ejpam-3980	269	51	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	269	52	soft	soft	ADJ
ejpam-3980	269	53	b	b	NOUN
ejpam-3980	269	54	-	-	PUNCT
ejpam-3980	269	55	open	open	ADJ
ejpam-3980	269	56	subsets	subset	NOUN
ejpam-3980	269	57	of	of	ADP
ejpam-3980	269	58	(	(	PUNCT
ejpam-3980	269	59	x	x	X
ejpam-3980	269	60	,	,	PUNCT
ejpam-3980	269	61	e	e	NOUN
ejpam-3980	269	62	,	,	PUNCT
ejpam-3980	269	63	τ1	τ1	NOUN
ejpam-3980	269	64	,	,	PUNCT
ejpam-3980	269	65	τ2	τ2	NOUN
ejpam-3980	269	66	)	)	PUNCT
ejpam-3980	269	67	such	such	ADJ
ejpam-3980	269	68	that	that	DET
ejpam-3980	269	69	fe	fe	NOUN
ejpam-3980	269	70	if	if	SCONJ
ejpam-3980	269	71	fe⊆̃	fe⊆̃	PROPN
ejpam-3980	269	72	⋃̃	⋃̃	X
ejpam-3980	269	73	{	{	PUNCT
ejpam-3980	269	74	fie	fie	NOUN
ejpam-3980	269	75	:	:	PUNCT
ejpam-3980	270	1	i	i	PROPN
ejpam-3980	270	2	∈	∈	PROPN
ejpam-3980	270	3	λ	λ	PRON
ejpam-3980	270	4	}	}	PUNCT
ejpam-3980	270	5	there	there	PRON
ejpam-3980	270	6	exists	exist	VERB
ejpam-3980	270	7	a	a	DET
ejpam-3980	270	8	finite	finite	NOUN
ejpam-3980	270	9	subset	subset	NOUN
ejpam-3980	270	10	λ0	λ0	NOUN
ejpam-3980	270	11	of	of	ADP
ejpam-3980	270	12	λ	λ	PROPN
ejpam-3980	270	13	such	such	ADJ
ejpam-3980	270	14	that	that	SCONJ
ejpam-3980	270	15	fe⊆̃	fe⊆̃	PRON
ejpam-3980	270	16	⋃̃	⋃̃	PROPN
ejpam-3980	270	17	{	{	PUNCT
ejpam-3980	270	18	fie	fie	NOUN
ejpam-3980	270	19	:	:	PUNCT
ejpam-3980	270	20	i	i	PROPN
ejpam-3980	270	21	∈	∈	PROPN
ejpam-3980	270	22	λ0	λ0	NOUN
ejpam-3980	270	23	}	}	PUNCT
ejpam-3980	270	24	.	.	PUNCT
ejpam-3980	271	1	definition	definition	NOUN
ejpam-3980	271	2	26	26	NUM
ejpam-3980	271	3	.	.	PUNCT
ejpam-3980	272	1	a	a	DET
ejpam-3980	272	2	fuzzy	fuzzy	ADJ
ejpam-3980	272	3	soft	soft	ADJ
ejpam-3980	272	4	subset	subset	ADJ
ejpam-3980	272	5	fe	fe	NOUN
ejpam-3980	272	6	of	of	ADP
ejpam-3980	272	7	fuzzy	fuzzy	ADJ
ejpam-3980	272	8	soft	soft	ADJ
ejpam-3980	272	9	bitopological	bitopological	ADJ
ejpam-3980	272	10	space	space	NOUN
ejpam-3980	272	11	(	(	PUNCT
ejpam-3980	272	12	x	x	X
ejpam-3980	272	13	,	,	PUNCT
ejpam-3980	272	14	e	e	NOUN
ejpam-3980	272	15	,	,	PUNCT
ejpam-3980	272	16	τ1	τ1	NOUN
ejpam-3980	272	17	,	,	PUNCT
ejpam-3980	272	18	τ2	τ2	NOUN
ejpam-3980	272	19	)	)	PUNCT
ejpam-3980	272	20	is	be	AUX
ejpam-3980	272	21	said	say	VERB
ejpam-3980	272	22	to	to	PART
ejpam-3980	272	23	be	be	AUX
ejpam-3980	272	24	(	(	PUNCT
ejpam-3980	272	25	1	1	NUM
ejpam-3980	272	26	,	,	PUNCT
ejpam-3980	272	27	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	272	28	soft	soft	ADJ
ejpam-3980	272	29	b	b	NOUN
ejpam-3980	272	30	-	-	ADJ
ejpam-3980	272	31	compact	compact	ADJ
ejpam-3980	273	1	if	if	SCONJ
ejpam-3980	273	2	fe	fe	X
ejpam-3980	273	3	is	be	AUX
ejpam-3980	273	4	(	(	PUNCT
ejpam-3980	273	5	1	1	NUM
ejpam-3980	273	6	,	,	PUNCT
ejpam-3980	273	7	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	273	8	soft	soft	ADJ
ejpam-3980	273	9	b	b	NOUN
ejpam-3980	273	10	-	-	ADJ
ejpam-3980	273	11	compact	compact	ADJ
ejpam-3980	273	12	as	as	ADP
ejpam-3980	273	13	a	a	DET
ejpam-3980	273	14	subspace	subspace	NOUN
ejpam-3980	273	15	of	of	ADP
ejpam-3980	273	16	(	(	PUNCT
ejpam-3980	273	17	x	x	X
ejpam-3980	273	18	,	,	PUNCT
ejpam-3980	273	19	e	e	NOUN
ejpam-3980	273	20	,	,	PUNCT
ejpam-3980	273	21	τ1	τ1	NOUN
ejpam-3980	273	22	,	,	PUNCT
ejpam-3980	273	23	τ2	τ2	NOUN
ejpam-3980	273	24	)	)	PUNCT
ejpam-3980	273	25	.	.	PUNCT
ejpam-3980	274	1	theorem	theorem	VERB
ejpam-3980	274	2	6	6	NUM
ejpam-3980	274	3	.	.	PUNCT
ejpam-3980	275	1	every	every	DET
ejpam-3980	275	2	(	(	PUNCT
ejpam-3980	275	3	1	1	NUM
ejpam-3980	275	4	,	,	PUNCT
ejpam-3980	275	5	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	275	6	soft	soft	ADJ
ejpam-3980	275	7	closed	closed	ADJ
ejpam-3980	275	8	subset	subset	NOUN
ejpam-3980	275	9	of	of	ADP
ejpam-3980	275	10	fuzzy	fuzzy	ADJ
ejpam-3980	275	11	(	(	PUNCT
ejpam-3980	275	12	1	1	NUM
ejpam-3980	275	13	,	,	PUNCT
ejpam-3980	275	14	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	275	15	soft	soft	ADJ
ejpam-3980	275	16	b	b	NOUN
ejpam-3980	275	17	-	-	ADJ
ejpam-3980	275	18	compact	compact	ADJ
ejpam-3980	275	19	space	space	NOUN
ejpam-3980	275	20	(	(	PUNCT
ejpam-3980	275	21	x	x	X
ejpam-3980	275	22	,	,	PUNCT
ejpam-3980	275	23	e	e	NOUN
ejpam-3980	275	24	,	,	PUNCT
ejpam-3980	275	25	τ1	τ1	NOUN
ejpam-3980	275	26	,	,	PUNCT
ejpam-3980	275	27	τ2	τ2	NOUN
ejpam-3980	275	28	)	)	PUNCT
ejpam-3980	275	29	is	be	AUX
ejpam-3980	275	30	(	(	PUNCT
ejpam-3980	275	31	1	1	NUM
ejpam-3980	275	32	,	,	PUNCT
ejpam-3980	275	33	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	275	34	soft	soft	ADJ
ejpam-3980	275	35	b	b	NOUN
ejpam-3980	275	36	-	-	ADJ
ejpam-3980	275	37	compact	compact	ADJ
ejpam-3980	275	38	relative	relative	NOUN
ejpam-3980	275	39	to	to	ADP
ejpam-3980	275	40	1̃e	1̃e	NUM
ejpam-3980	275	41	.	.	PUNCT
ejpam-3980	276	1	proof	proof	NOUN
ejpam-3980	276	2	.	.	PUNCT
ejpam-3980	277	1	let	let	VERB
ejpam-3980	277	2	fe	fe	X
ejpam-3980	277	3	be	be	AUX
ejpam-3980	277	4	a	a	DET
ejpam-3980	277	5	(	(	PUNCT
ejpam-3980	277	6	1	1	NUM
ejpam-3980	277	7	,	,	PUNCT
ejpam-3980	277	8	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	277	9	soft	soft	ADJ
ejpam-3980	277	10	closed	closed	ADJ
ejpam-3980	277	11	subset	subset	NOUN
ejpam-3980	277	12	of	of	ADP
ejpam-3980	277	13	(	(	PUNCT
ejpam-3980	277	14	x	x	X
ejpam-3980	277	15	,	,	PUNCT
ejpam-3980	277	16	e	e	NOUN
ejpam-3980	277	17	,	,	PUNCT
ejpam-3980	277	18	τ1	τ1	NOUN
ejpam-3980	277	19	,	,	PUNCT
ejpam-3980	277	20	τ2	τ2	NOUN
ejpam-3980	277	21	)	)	PUNCT
ejpam-3980	277	22	.	.	PUNCT
ejpam-3980	278	1	then	then	ADV
ejpam-3980	278	2	f	f	PROPN
ejpam-3980	278	3	ce	ce	PROPN
ejpam-3980	278	4	is	be	AUX
ejpam-3980	278	5	a	a	DET
ejpam-3980	278	6	(	(	PUNCT
ejpam-3980	278	7	1	1	NUM
ejpam-3980	278	8	,	,	PUNCT
ejpam-3980	278	9	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	278	10	soft	soft	ADJ
ejpam-3980	278	11	open	open	ADJ
ejpam-3980	278	12	set	set	VERB
ejpam-3980	278	13	in	in	ADP
ejpam-3980	278	14	(	(	PUNCT
ejpam-3980	278	15	x	x	NOUN
ejpam-3980	278	16	,	,	PUNCT
ejpam-3980	278	17	e	e	NOUN
ejpam-3980	278	18	,	,	PUNCT
ejpam-3980	278	19	τ1	τ1	NOUN
ejpam-3980	278	20	,	,	PUNCT
ejpam-3980	278	21	τ2	τ2	NOUN
ejpam-3980	278	22	)	)	PUNCT
ejpam-3980	278	23	.	.	PUNCT
ejpam-3980	279	1	let	let	VERB
ejpam-3980	279	2	s	s	AUX
ejpam-3980	279	3	=	=	PUNCT
ejpam-3980	279	4	{	{	PUNCT
ejpam-3980	279	5	gie	gie	NOUN
ejpam-3980	279	6	:	:	PUNCT
ejpam-3980	279	7	i	i	PROPN
ejpam-3980	279	8	∈	∈	PROPN
ejpam-3980	279	9	λ	λ	NOUN
ejpam-3980	279	10	}	}	PUNCT
ejpam-3980	279	11	be	be	VERB
ejpam-3980	279	12	a	a	DET
ejpam-3980	279	13	cover	cover	NOUN
ejpam-3980	279	14	of	of	ADP
ejpam-3980	279	15	fe	fe	X
ejpam-3980	279	16	by	by	ADP
ejpam-3980	279	17	(	(	PUNCT
ejpam-3980	279	18	1	1	NUM
ejpam-3980	279	19	,	,	PUNCT
ejpam-3980	279	20	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	279	21	soft	soft	ADJ
ejpam-3980	279	22	open	open	ADJ
ejpam-3980	279	23	subsets	subset	NOUN
ejpam-3980	279	24	in	in	ADP
ejpam-3980	279	25	(	(	PUNCT
ejpam-3980	279	26	x	x	X
ejpam-3980	279	27	,	,	PUNCT
ejpam-3980	279	28	e	e	NOUN
ejpam-3980	279	29	,	,	PUNCT
ejpam-3980	279	30	τ1	τ1	NOUN
ejpam-3980	279	31	,	,	PUNCT
ejpam-3980	279	32	τ2	τ2	NOUN
ejpam-3980	279	33	)	)	PUNCT
ejpam-3980	279	34	.	.	PUNCT
ejpam-3980	280	1	then	then	ADV
ejpam-3980	280	2	s∪̃f	s∪̃f	PROPN
ejpam-3980	280	3	ce	ce	PROPN
ejpam-3980	280	4	is	be	AUX
ejpam-3980	280	5	a	a	DET
ejpam-3980	280	6	(	(	PUNCT
ejpam-3980	280	7	1	1	NUM
ejpam-3980	280	8	,	,	PUNCT
ejpam-3980	280	9	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	280	10	soft	soft	ADJ
ejpam-3980	280	11	b	b	NOUN
ejpam-3980	280	12	-	-	PUNCT
ejpam-3980	280	13	open	open	ADJ
ejpam-3980	280	14	cover	cover	NOUN
ejpam-3980	280	15	for	for	ADP
ejpam-3980	280	16	1̃e	1̃e	PROPN
ejpam-3980	280	17	.	.	PUNCT
ejpam-3980	281	1	since	since	SCONJ
ejpam-3980	281	2	(	(	PUNCT
ejpam-3980	281	3	x	x	X
ejpam-3980	281	4	,	,	PUNCT
ejpam-3980	281	5	e	e	NOUN
ejpam-3980	281	6	,	,	PUNCT
ejpam-3980	281	7	τ1	τ1	NOUN
ejpam-3980	281	8	,	,	PUNCT
ejpam-3980	281	9	τ2	τ2	NOUN
ejpam-3980	281	10	)	)	PUNCT
ejpam-3980	281	11	is	be	AUX
ejpam-3980	281	12	a	a	DET
ejpam-3980	281	13	(	(	PUNCT
ejpam-3980	281	14	1	1	NUM
ejpam-3980	281	15	,	,	PUNCT
ejpam-3980	281	16	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	281	17	soft	soft	ADJ
ejpam-3980	281	18	b	b	NOUN
ejpam-3980	281	19	-	-	ADJ
ejpam-3980	281	20	compact	compact	ADJ
ejpam-3980	281	21	;	;	PUNCT
ejpam-3980	281	22	it	it	PRON
ejpam-3980	281	23	has	have	VERB
ejpam-3980	281	24	a	a	DET
ejpam-3980	281	25	finite	finite	ADJ
ejpam-3980	281	26	subcover	subcover	PROPN
ejpam-3980	281	27	say	say	VERB
ejpam-3980	281	28	s	s	VERB
ejpam-3980	281	29	=	=	PUNCT
ejpam-3980	281	30	g1e	g1e	PROPN
ejpam-3980	281	31	∪̃g1e	∪̃g1e	PROPN
ejpam-3980	281	32	∪̃	∪̃	NUM
ejpam-3980	281	33	...	...	PUNCT
ejpam-3980	281	34	∪̃gne	∪̃gne	NUM
ejpam-3980	281	35	∪̃f	∪̃f	PRON
ejpam-3980	281	36	ce	ce	PROPN
ejpam-3980	281	37	,	,	PUNCT
ejpam-3980	281	38	gie	gie	NOUN
ejpam-3980	281	39	∈̃s	∈̃s	ADV
ejpam-3980	281	40	,	,	PUNCT
ejpam-3980	281	41	i	i	PRON
ejpam-3980	281	42	=	=	NOUN
ejpam-3980	281	43	1	1	NUM
ejpam-3980	281	44	,	,	PUNCT
ejpam-3980	281	45	2	2	NUM
ejpam-3980	281	46	,	,	PUNCT
ejpam-3980	281	47	...	...	PUNCT
ejpam-3980	281	48	,	,	PUNCT
ejpam-3980	281	49	n.	n.	PROPN
ejpam-3980	281	50	but	but	CCONJ
ejpam-3980	281	51	fe	fe	PROPN
ejpam-3980	281	52	and	and	CCONJ
ejpam-3980	281	53	f	f	PROPN
ejpam-3980	281	54	ce	ce	PROPN
ejpam-3980	281	55	are	be	AUX
ejpam-3980	281	56	fuzzy	fuzzy	ADJ
ejpam-3980	281	57	soft	soft	ADJ
ejpam-3980	281	58	disjoint	disjoint	NOUN
ejpam-3980	281	59	.	.	PUNCT
ejpam-3980	282	1	hence	hence	ADV
ejpam-3980	282	2	fe⊆̃g1e	fe⊆̃g1e	PROPN
ejpam-3980	282	3	∪̃g1e	∪̃g1e	PROPN
ejpam-3980	282	4	∪̃	∪̃	NUM
ejpam-3980	282	5	...	...	PUNCT
ejpam-3980	283	1	∪̃gne	∪̃gne	NUM
ejpam-3980	283	2	∈̃s	∈̃s	NOUN
ejpam-3980	283	3	.	.	PUNCT
ejpam-3980	284	1	thus	thus	ADV
ejpam-3980	284	2	we	we	PRON
ejpam-3980	284	3	have	have	AUX
ejpam-3980	284	4	shown	show	VERB
ejpam-3980	284	5	that	that	SCONJ
ejpam-3980	284	6	any	any	DET
ejpam-3980	284	7	(	(	PUNCT
ejpam-3980	284	8	1	1	NUM
ejpam-3980	284	9	,	,	PUNCT
ejpam-3980	284	10	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	284	11	soft	soft	ADJ
ejpam-3980	284	12	b	b	NOUN
ejpam-3980	284	13	-	-	PUNCT
ejpam-3980	284	14	open	open	ADJ
ejpam-3980	284	15	cover	cover	NOUN
ejpam-3980	284	16	has	have	VERB
ejpam-3980	284	17	a	a	DET
ejpam-3980	284	18	finite	finite	ADJ
ejpam-3980	284	19	subcover	subcover	PROPN
ejpam-3980	284	20	.	.	PUNCT
ejpam-3980	285	1	therefore	therefore	ADV
ejpam-3980	285	2	fe	fe	PROPN
ejpam-3980	285	3	is	be	AUX
ejpam-3980	285	4	(	(	PUNCT
ejpam-3980	285	5	1	1	NUM
ejpam-3980	285	6	,	,	PUNCT
ejpam-3980	285	7	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	285	8	soft	soft	ADJ
ejpam-3980	285	9	b	b	NOUN
ejpam-3980	285	10	-	-	ADJ
ejpam-3980	285	11	compact	compact	ADJ
ejpam-3980	285	12	relative	relative	NOUN
ejpam-3980	285	13	to	to	ADP
ejpam-3980	285	14	1̃e	1̃e	PROPN
ejpam-3980	285	15	.	.	PUNCT
ejpam-3980	286	1	references	reference	NOUN
ejpam-3980	286	2	769	769	NUM
ejpam-3980	286	3	theorem	theorem	VERB
ejpam-3980	286	4	7	7	NUM
ejpam-3980	286	5	.	.	PUNCT
ejpam-3980	287	1	a	a	DET
ejpam-3980	287	2	(	(	PUNCT
ejpam-3980	287	3	1	1	NUM
ejpam-3980	287	4	,	,	PUNCT
ejpam-3980	287	5	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	287	6	soft	soft	ADJ
ejpam-3980	287	7	b	b	NOUN
ejpam-3980	287	8	-	-	PUNCT
ejpam-3980	287	9	continuous	continuous	ADJ
ejpam-3980	287	10	image	image	NOUN
ejpam-3980	287	11	of	of	ADP
ejpam-3980	287	12	a	a	DET
ejpam-3980	287	13	(	(	PUNCT
ejpam-3980	287	14	1	1	NUM
ejpam-3980	287	15	,	,	PUNCT
ejpam-3980	287	16	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	287	17	soft	soft	ADJ
ejpam-3980	287	18	b	b	NOUN
ejpam-3980	287	19	-	-	ADJ
ejpam-3980	287	20	compact	compact	ADJ
ejpam-3980	287	21	space	space	NOUN
ejpam-3980	287	22	is	be	AUX
ejpam-3980	287	23	(	(	PUNCT
ejpam-3980	287	24	1	1	NUM
ejpam-3980	287	25	,	,	PUNCT
ejpam-3980	287	26	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	287	27	soft	soft	ADJ
ejpam-3980	287	28	compact	compact	ADJ
ejpam-3980	287	29	.	.	PUNCT
ejpam-3980	288	1	proof	proof	NOUN
ejpam-3980	288	2	.	.	PUNCT
ejpam-3980	289	1	consider	consider	VERB
ejpam-3980	289	2	ψ	ψ	X
ejpam-3980	289	3	:	:	PUNCT
ejpam-3980	289	4	(	(	PUNCT
ejpam-3980	289	5	x	x	X
ejpam-3980	289	6	,	,	PUNCT
ejpam-3980	289	7	e	e	NOUN
ejpam-3980	289	8	,	,	PUNCT
ejpam-3980	289	9	τ1	τ1	NOUN
ejpam-3980	289	10	,	,	PUNCT
ejpam-3980	289	11	τ2	τ2	NOUN
ejpam-3980	289	12	)	)	PUNCT
ejpam-3980	289	13	→	→	SYM
ejpam-3980	289	14	(	(	PUNCT
ejpam-3980	289	15	y	y	PROPN
ejpam-3980	289	16	,	,	PUNCT
ejpam-3980	289	17	e	e	PROPN
ejpam-3980	289	18	,	,	PUNCT
ejpam-3980	289	19	σ1	σ1	PROPN
ejpam-3980	289	20	,	,	PUNCT
ejpam-3980	289	21	σ2	σ2	PROPN
ejpam-3980	289	22	)	)	PUNCT
ejpam-3980	289	23	be	be	VERB
ejpam-3980	289	24	a	a	DET
ejpam-3980	289	25	(	(	PUNCT
ejpam-3980	289	26	1	1	NUM
ejpam-3980	289	27	,	,	PUNCT
ejpam-3980	289	28	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	289	29	soft	soft	ADJ
ejpam-3980	289	30	b	b	NOUN
ejpam-3980	289	31	-	-	PUNCT
ejpam-3980	289	32	continuous	continuous	ADJ
ejpam-3980	289	33	function	function	NOUN
ejpam-3980	289	34	.	.	PUNCT
ejpam-3980	290	1	let	let	VERB
ejpam-3980	290	2	{	{	PUNCT
ejpam-3980	290	3	fie	fie	NOUN
ejpam-3980	290	4	:	:	PUNCT
ejpam-3980	290	5	i	i	PROPN
ejpam-3980	290	6	∈	∈	PROPN
ejpam-3980	290	7	λ	λ	NOUN
ejpam-3980	290	8	}	}	PUNCT
ejpam-3980	290	9	be	be	VERB
ejpam-3980	290	10	a	a	DET
ejpam-3980	290	11	σ1σ2	σ1σ2	NUM
ejpam-3980	290	12	-	-	PUNCT
ejpam-3980	290	13	fuzzy	fuzzy	ADJ
ejpam-3980	290	14	soft	soft	ADJ
ejpam-3980	290	15	open	open	ADJ
ejpam-3980	290	16	cover	cover	NOUN
ejpam-3980	290	17	of	of	ADP
ejpam-3980	290	18	1̃e	1̃e	PROPN
ejpam-3980	290	19	in	in	ADP
ejpam-3980	290	20	(	(	PUNCT
ejpam-3980	290	21	y	y	PROPN
ejpam-3980	290	22	,	,	PUNCT
ejpam-3980	290	23	e	e	NOUN
ejpam-3980	290	24	,	,	PUNCT
ejpam-3980	290	25	σ1	σ1	PROPN
ejpam-3980	290	26	,	,	PUNCT
ejpam-3980	290	27	σ2	σ2	NOUN
ejpam-3980	290	28	)	)	PUNCT
ejpam-3980	290	29	.	.	PUNCT
ejpam-3980	291	1	then	then	ADV
ejpam-3980	291	2	{	{	PUNCT
ejpam-3980	291	3	ψ−1(fie	ψ−1(fie	X
ejpam-3980	291	4	)	)	PUNCT
ejpam-3980	291	5	:	:	PUNCT
ejpam-3980	291	6	i	i	PRON
ejpam-3980	291	7	∈	∈	PROPN
ejpam-3980	291	8	λ	λ	X
ejpam-3980	291	9	}	}	PUNCT
ejpam-3980	291	10	is	be	AUX
ejpam-3980	291	11	a	a	DET
ejpam-3980	291	12	(	(	PUNCT
ejpam-3980	291	13	1	1	NUM
ejpam-3980	291	14	,	,	PUNCT
ejpam-3980	291	15	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	291	16	soft	soft	ADJ
ejpam-3980	291	17	b	b	NOUN
ejpam-3980	291	18	-	-	PUNCT
ejpam-3980	291	19	open	open	ADJ
ejpam-3980	291	20	cover	cover	NOUN
ejpam-3980	291	21	of	of	ADP
ejpam-3980	291	22	1̃e	1̃e	PROPN
ejpam-3980	291	23	in	in	ADP
ejpam-3980	291	24	(	(	PUNCT
ejpam-3980	291	25	x	x	X
ejpam-3980	291	26	,	,	PUNCT
ejpam-3980	291	27	e	e	NOUN
ejpam-3980	291	28	,	,	PUNCT
ejpam-3980	291	29	τ1	τ1	NOUN
ejpam-3980	291	30	,	,	PUNCT
ejpam-3980	291	31	τ2	τ2	NOUN
ejpam-3980	291	32	)	)	PUNCT
ejpam-3980	291	33	.	.	PUNCT
ejpam-3980	292	1	since	since	SCONJ
ejpam-3980	292	2	(	(	PUNCT
ejpam-3980	292	3	x	x	X
ejpam-3980	292	4	,	,	PUNCT
ejpam-3980	292	5	e	e	NOUN
ejpam-3980	292	6	,	,	PUNCT
ejpam-3980	292	7	τ1	τ1	NOUN
ejpam-3980	292	8	,	,	PUNCT
ejpam-3980	292	9	τ2	τ2	NOUN
ejpam-3980	292	10	)	)	PUNCT
ejpam-3980	292	11	is	be	AUX
ejpam-3980	292	12	(	(	PUNCT
ejpam-3980	292	13	1	1	NUM
ejpam-3980	292	14	,	,	PUNCT
ejpam-3980	292	15	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	292	16	soft	soft	ADJ
ejpam-3980	292	17	b	b	NOUN
ejpam-3980	292	18	-	-	ADJ
ejpam-3980	292	19	compact	compact	ADJ
ejpam-3980	292	20	;	;	PUNCT
ejpam-3980	292	21	it	it	PRON
ejpam-3980	292	22	has	have	VERB
ejpam-3980	292	23	a	a	DET
ejpam-3980	292	24	finite	finite	ADJ
ejpam-3980	292	25	subcover	subcover	PROPN
ejpam-3980	292	26	say	say	VERB
ejpam-3980	292	27	,	,	PUNCT
ejpam-3980	292	28	{	{	PUNCT
ejpam-3980	292	29	ψ−1(f1e	ψ−1(f1e	PROPN
ejpam-3980	292	30	)	)	PUNCT
ejpam-3980	292	31	,	,	PUNCT
ejpam-3980	292	32	ψ−1(f1e	ψ−1(f1e	PROPN
ejpam-3980	292	33	)	)	PUNCT
ejpam-3980	292	34	,	,	PUNCT
ejpam-3980	292	35	...	...	PUNCT
ejpam-3980	292	36	,	,	PUNCT
ejpam-3980	292	37	ψ−1(fne	ψ−1(fne	NOUN
ejpam-3980	292	38	)	)	PUNCT
ejpam-3980	292	39	}	}	PUNCT
ejpam-3980	292	40	.	.	PUNCT
ejpam-3980	293	1	since	since	SCONJ
ejpam-3980	293	2	ψ	ψ	NOUN
ejpam-3980	293	3	is	be	AUX
ejpam-3980	293	4	onto	onto	ADP
ejpam-3980	293	5	,	,	PUNCT
ejpam-3980	293	6	{	{	PUNCT
ejpam-3980	293	7	f1e	f1e	PROPN
ejpam-3980	293	8	,	,	PUNCT
ejpam-3980	293	9	f1e	f1e	PROPN
ejpam-3980	293	10	,	,	PUNCT
ejpam-3980	293	11	...	...	PUNCT
ejpam-3980	293	12	,	,	PUNCT
ejpam-3980	293	13	fne	fne	PROPN
ejpam-3980	293	14	}	}	PUNCT
ejpam-3980	293	15	is	be	AUX
ejpam-3980	293	16	a	a	DET
ejpam-3980	293	17	σ1σ2	σ1σ2	NUM
ejpam-3980	293	18	-	-	ADJ
ejpam-3980	293	19	fuzzy	fuzzy	ADJ
ejpam-3980	293	20	soft	soft	ADJ
ejpam-3980	293	21	open	open	ADJ
ejpam-3980	293	22	cover	cover	NOUN
ejpam-3980	293	23	of	of	ADP
ejpam-3980	293	24	1̃e	1̃e	PROPN
ejpam-3980	293	25	in	in	ADP
ejpam-3980	293	26	(	(	PUNCT
ejpam-3980	293	27	y	y	PROPN
ejpam-3980	293	28	,	,	PUNCT
ejpam-3980	293	29	e	e	NOUN
ejpam-3980	293	30	,	,	PUNCT
ejpam-3980	293	31	σ1	σ1	PROPN
ejpam-3980	293	32	,	,	PUNCT
ejpam-3980	293	33	σ2	σ2	NOUN
ejpam-3980	293	34	)	)	PUNCT
ejpam-3980	293	35	and	and	CCONJ
ejpam-3980	293	36	hence	hence	ADV
ejpam-3980	293	37	(	(	PUNCT
ejpam-3980	293	38	y	y	PROPN
ejpam-3980	293	39	,	,	PUNCT
ejpam-3980	293	40	e	e	PROPN
ejpam-3980	293	41	,	,	PUNCT
ejpam-3980	293	42	σ1	σ1	PROPN
ejpam-3980	293	43	,	,	PUNCT
ejpam-3980	293	44	σ2	σ2	PROPN
ejpam-3980	293	45	)	)	PUNCT
ejpam-3980	293	46	is	be	AUX
ejpam-3980	293	47	(	(	PUNCT
ejpam-3980	293	48	1	1	NUM
ejpam-3980	293	49	,	,	PUNCT
ejpam-3980	293	50	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	293	51	soft	soft	ADJ
ejpam-3980	293	52	compact	compact	ADJ
ejpam-3980	293	53	.	.	PUNCT
ejpam-3980	294	1	theorem	theorem	ADJ
ejpam-3980	294	2	8	8	NUM
ejpam-3980	294	3	.	.	PUNCT
ejpam-3980	295	1	if	if	SCONJ
ejpam-3980	295	2	a	a	DET
ejpam-3980	295	3	map	map	NOUN
ejpam-3980	295	4	ψ	ψ	X
ejpam-3980	295	5	:	:	PUNCT
ejpam-3980	295	6	(	(	PUNCT
ejpam-3980	295	7	x	x	X
ejpam-3980	295	8	,	,	PUNCT
ejpam-3980	295	9	e	e	NOUN
ejpam-3980	295	10	,	,	PUNCT
ejpam-3980	295	11	τ1	τ1	NOUN
ejpam-3980	295	12	,	,	PUNCT
ejpam-3980	295	13	τ2)→	τ2)→	PROPN
ejpam-3980	295	14	(	(	PUNCT
ejpam-3980	295	15	y	y	PROPN
ejpam-3980	295	16	,	,	PUNCT
ejpam-3980	295	17	e	e	PROPN
ejpam-3980	295	18	,	,	PUNCT
ejpam-3980	295	19	σ1	σ1	PROPN
ejpam-3980	295	20	,	,	PUNCT
ejpam-3980	295	21	σ2	σ2	PROPN
ejpam-3980	295	22	)	)	PUNCT
ejpam-3980	295	23	is	be	AUX
ejpam-3980	295	24	a	a	DET
ejpam-3980	295	25	(	(	PUNCT
ejpam-3980	295	26	1	1	NUM
ejpam-3980	295	27	,	,	PUNCT
ejpam-3980	295	28	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	295	29	soft	soft	ADJ
ejpam-3980	295	30	b	b	NOUN
ejpam-3980	295	31	-	-	PUNCT
ejpam-3980	295	32	irresolute	irresolute	ADJ
ejpam-3980	295	33	and	and	CCONJ
ejpam-3980	295	34	a	a	DET
ejpam-3980	295	35	fuzzy	fuzzy	ADJ
ejpam-3980	295	36	soft	soft	ADJ
ejpam-3980	295	37	subset	subset	ADJ
ejpam-3980	295	38	fe	fe	NOUN
ejpam-3980	295	39	of	of	ADP
ejpam-3980	295	40	(	(	PUNCT
ejpam-3980	295	41	x	x	X
ejpam-3980	295	42	,	,	PUNCT
ejpam-3980	295	43	e	e	NOUN
ejpam-3980	295	44	,	,	PUNCT
ejpam-3980	295	45	τ1	τ1	NOUN
ejpam-3980	295	46	,	,	PUNCT
ejpam-3980	295	47	τ2	τ2	NOUN
ejpam-3980	295	48	)	)	PUNCT
ejpam-3980	295	49	is	be	AUX
ejpam-3980	295	50	(	(	PUNCT
ejpam-3980	295	51	1	1	NUM
ejpam-3980	295	52	,	,	PUNCT
ejpam-3980	295	53	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	295	54	soft	soft	ADJ
ejpam-3980	295	55	compact	compact	ADJ
ejpam-3980	295	56	relative	relative	NOUN
ejpam-3980	295	57	to	to	ADP
ejpam-3980	295	58	1̃e	1̃e	NUM
ejpam-3980	295	59	then	then	ADV
ejpam-3980	295	60	the	the	DET
ejpam-3980	295	61	image	image	NOUN
ejpam-3980	295	62	ψ(fe	ψ(fe	NOUN
ejpam-3980	295	63	)	)	PUNCT
ejpam-3980	296	1	is	be	AUX
ejpam-3980	296	2	(	(	PUNCT
ejpam-3980	296	3	1	1	NUM
ejpam-3980	296	4	,	,	PUNCT
ejpam-3980	296	5	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	296	6	soft	soft	ADJ
ejpam-3980	296	7	compact	compact	ADJ
ejpam-3980	296	8	relative	relative	NOUN
ejpam-3980	296	9	to	to	ADP
ejpam-3980	296	10	1̃e	1̃e	PROPN
ejpam-3980	296	11	in	in	ADP
ejpam-3980	296	12	(	(	PUNCT
ejpam-3980	296	13	y	y	PROPN
ejpam-3980	296	14	,	,	PUNCT
ejpam-3980	296	15	e	e	NOUN
ejpam-3980	296	16	,	,	PUNCT
ejpam-3980	296	17	σ1	σ1	PROPN
ejpam-3980	296	18	,	,	PUNCT
ejpam-3980	296	19	σ2	σ2	NOUN
ejpam-3980	296	20	)	)	PUNCT
ejpam-3980	296	21	.	.	PUNCT
ejpam-3980	297	1	proof	proof	NOUN
ejpam-3980	297	2	.	.	PUNCT
ejpam-3980	298	1	let	let	VERB
ejpam-3980	298	2	{	{	PUNCT
ejpam-3980	298	3	fie	fie	NOUN
ejpam-3980	298	4	:	:	PUNCT
ejpam-3980	298	5	i	i	PROPN
ejpam-3980	298	6	∈	∈	PROPN
ejpam-3980	298	7	λ	λ	NOUN
ejpam-3980	298	8	}	}	PUNCT
ejpam-3980	298	9	be	be	VERB
ejpam-3980	298	10	a	a	DET
ejpam-3980	298	11	collection	collection	NOUN
ejpam-3980	298	12	of	of	ADP
ejpam-3980	298	13	(	(	PUNCT
ejpam-3980	298	14	1	1	NUM
ejpam-3980	298	15	,	,	PUNCT
ejpam-3980	298	16	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	298	17	soft	soft	ADJ
ejpam-3980	298	18	b	b	NOUN
ejpam-3980	298	19	-	-	PUNCT
ejpam-3980	298	20	open	open	ADJ
ejpam-3980	298	21	sets	set	NOUN
ejpam-3980	298	22	in	in	ADP
ejpam-3980	298	23	(	(	PUNCT
ejpam-3980	298	24	y	y	PROPN
ejpam-3980	298	25	,	,	PUNCT
ejpam-3980	298	26	e	e	NOUN
ejpam-3980	298	27	,	,	PUNCT
ejpam-3980	298	28	σ1	σ1	PROPN
ejpam-3980	298	29	,	,	PUNCT
ejpam-3980	298	30	σ2	σ2	NOUN
ejpam-3980	298	31	)	)	PUNCT
ejpam-3980	298	32	such	such	ADJ
ejpam-3980	298	33	that	that	SCONJ
ejpam-3980	298	34	ψ(fe)⊆̃	ψ(fe)⊆̃	PROPN
ejpam-3980	298	35	⋃̃	⋃̃	PROPN
ejpam-3980	298	36	{	{	PUNCT
ejpam-3980	298	37	fie	fie	NOUN
ejpam-3980	298	38	:	:	PUNCT
ejpam-3980	299	1	i	i	PROPN
ejpam-3980	299	2	∈	∈	PROPN
ejpam-3980	299	3	λ	λ	NOUN
ejpam-3980	299	4	}	}	PUNCT
ejpam-3980	299	5	.	.	PUNCT
ejpam-3980	300	1	then	then	ADV
ejpam-3980	300	2	fe⊆̃	fe⊆̃	VERB
ejpam-3980	300	3	⋃̃	⋃̃	PROPN
ejpam-3980	300	4	{	{	PUNCT
ejpam-3980	300	5	ψ−1(fie	ψ−1(fie	X
ejpam-3980	300	6	)	)	PUNCT
ejpam-3980	300	7	:	:	PUNCT
ejpam-3980	301	1	i	i	PRON
ejpam-3980	301	2	∈	∈	PROPN
ejpam-3980	301	3	λ	λ	NOUN
ejpam-3980	301	4	}	}	PUNCT
ejpam-3980	301	5	,	,	PUNCT
ejpam-3980	301	6	where	where	SCONJ
ejpam-3980	301	7	ψ−1(fie	ψ−1(fie	X
ejpam-3980	301	8	)	)	PUNCT
ejpam-3980	301	9	is	be	AUX
ejpam-3980	301	10	(	(	PUNCT
ejpam-3980	301	11	1	1	NUM
ejpam-3980	301	12	,	,	PUNCT
ejpam-3980	301	13	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	301	14	soft	soft	ADJ
ejpam-3980	301	15	b	b	NOUN
ejpam-3980	301	16	-	-	PUNCT
ejpam-3980	301	17	open	open	ADJ
ejpam-3980	301	18	in	in	ADP
ejpam-3980	301	19	(	(	PUNCT
ejpam-3980	301	20	x	x	X
ejpam-3980	301	21	,	,	PUNCT
ejpam-3980	301	22	e	e	NOUN
ejpam-3980	301	23	,	,	PUNCT
ejpam-3980	301	24	τ1	τ1	NOUN
ejpam-3980	301	25	,	,	PUNCT
ejpam-3980	301	26	τ2	τ2	NOUN
ejpam-3980	301	27	)	)	PUNCT
ejpam-3980	301	28	is	be	AUX
ejpam-3980	301	29	(	(	PUNCT
ejpam-3980	301	30	1	1	NUM
ejpam-3980	301	31	,	,	PUNCT
ejpam-3980	301	32	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	301	33	soft	soft	ADJ
ejpam-3980	301	34	compact	compact	ADJ
ejpam-3980	301	35	relative	relative	NOUN
ejpam-3980	301	36	to	to	ADP
ejpam-3980	301	37	1̃e	1̃e	PROPN
ejpam-3980	301	38	in	in	ADP
ejpam-3980	301	39	(	(	PUNCT
ejpam-3980	301	40	x	x	X
ejpam-3980	301	41	,	,	PUNCT
ejpam-3980	301	42	e	e	NOUN
ejpam-3980	301	43	,	,	PUNCT
ejpam-3980	301	44	τ1	τ1	NOUN
ejpam-3980	301	45	,	,	PUNCT
ejpam-3980	301	46	τ2	τ2	NOUN
ejpam-3980	301	47	)	)	PUNCT
ejpam-3980	301	48	,	,	PUNCT
ejpam-3980	301	49	there	there	PRON
ejpam-3980	301	50	exists	exist	VERB
ejpam-3980	301	51	a	a	DET
ejpam-3980	301	52	finite	finite	ADJ
ejpam-3980	301	53	sub	sub	NOUN
ejpam-3980	301	54	collection	collection	NOUN
ejpam-3980	301	55	{	{	PUNCT
ejpam-3980	301	56	f1e	f1e	PROPN
ejpam-3980	301	57	,	,	PUNCT
ejpam-3980	301	58	f2e	f2e	PROPN
ejpam-3980	301	59	,	,	PUNCT
ejpam-3980	301	60	...	...	PUNCT
ejpam-3980	301	61	,	,	PUNCT
ejpam-3980	301	62	fne	fne	INTJ
ejpam-3980	301	63	}	}	PUNCT
ejpam-3980	301	64	such	such	ADJ
ejpam-3980	301	65	that	that	SCONJ
ejpam-3980	301	66	fe⊆̃	fe⊆̃	PRON
ejpam-3980	301	67	⋃̃	⋃̃	PROPN
ejpam-3980	301	68	{	{	PUNCT
ejpam-3980	301	69	ψ−1(fie	ψ−1(fie	X
ejpam-3980	301	70	)	)	PUNCT
ejpam-3980	301	71	:	:	PUNCT
ejpam-3980	302	1	i	i	NOUN
ejpam-3980	302	2	=	=	NOUN
ejpam-3980	302	3	1	1	NUM
ejpam-3980	302	4	,	,	PUNCT
ejpam-3980	302	5	2	2	NUM
ejpam-3980	302	6	,	,	PUNCT
ejpam-3980	302	7	3	3	NUM
ejpam-3980	302	8	...	...	PUNCT
ejpam-3980	302	9	,	,	PUNCT
ejpam-3980	302	10	n	n	CCONJ
ejpam-3980	302	11	}	}	PUNCT
ejpam-3980	302	12	that	that	PRON
ejpam-3980	302	13	is	be	AUX
ejpam-3980	302	14	,	,	PUNCT
ejpam-3980	302	15	ψ(fe)⊆̃	ψ(fe)⊆̃	PROPN
ejpam-3980	302	16	⋃̃	⋃̃	PROPN
ejpam-3980	302	17	{	{	PUNCT
ejpam-3980	302	18	fie	fie	NOUN
ejpam-3980	302	19	:	:	PUNCT
ejpam-3980	302	20	i	i	NOUN
ejpam-3980	302	21	=	=	NOUN
ejpam-3980	302	22	1	1	NUM
ejpam-3980	302	23	,	,	PUNCT
ejpam-3980	302	24	2	2	NUM
ejpam-3980	302	25	,	,	PUNCT
ejpam-3980	302	26	3	3	NUM
ejpam-3980	302	27	...	...	PUNCT
ejpam-3980	302	28	,	,	PUNCT
ejpam-3980	302	29	n	n	CCONJ
ejpam-3980	302	30	}	}	PUNCT
ejpam-3980	302	31	.	.	PUNCT
ejpam-3980	303	1	hence	hence	ADV
ejpam-3980	303	2	ψ(fe	ψ(fe	PROPN
ejpam-3980	303	3	)	)	PUNCT
ejpam-3980	303	4	is	be	AUX
ejpam-3980	303	5	(	(	PUNCT
ejpam-3980	303	6	1	1	NUM
ejpam-3980	303	7	,	,	PUNCT
ejpam-3980	303	8	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	303	9	soft	soft	ADJ
ejpam-3980	303	10	compact	compact	ADJ
ejpam-3980	303	11	relative	relative	NOUN
ejpam-3980	303	12	to	to	ADP
ejpam-3980	303	13	1̃e	1̃e	PROPN
ejpam-3980	303	14	in	in	ADP
ejpam-3980	303	15	(	(	PUNCT
ejpam-3980	303	16	y	y	PROPN
ejpam-3980	303	17	,	,	PUNCT
ejpam-3980	303	18	e	e	NOUN
ejpam-3980	303	19	,	,	PUNCT
ejpam-3980	303	20	σ1	σ1	PROPN
ejpam-3980	303	21	,	,	PUNCT
ejpam-3980	303	22	σ2	σ2	NOUN
ejpam-3980	303	23	)	)	PUNCT
ejpam-3980	303	24	.	.	PUNCT
ejpam-3980	304	1	5	5	X
ejpam-3980	304	2	.	.	X
ejpam-3980	304	3	conclusion	conclusion	NOUN
ejpam-3980	304	4	in	in	ADP
ejpam-3980	304	5	this	this	DET
ejpam-3980	304	6	paper	paper	NOUN
ejpam-3980	304	7	,	,	PUNCT
ejpam-3980	304	8	we	we	PRON
ejpam-3980	304	9	introduced	introduce	VERB
ejpam-3980	304	10	the	the	DET
ejpam-3980	304	11	notions	notion	NOUN
ejpam-3980	304	12	of	of	ADP
ejpam-3980	304	13	(	(	PUNCT
ejpam-3980	304	14	1	1	NUM
ejpam-3980	304	15	,	,	PUNCT
ejpam-3980	304	16	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	304	17	soft	soft	ADJ
ejpam-3980	304	18	b	b	NOUN
ejpam-3980	304	19	-	-	PUNCT
ejpam-3980	304	20	separated	separate	VERB
ejpam-3980	304	21	sets	set	NOUN
ejpam-3980	304	22	,	,	PUNCT
ejpam-3980	304	23	(	(	PUNCT
ejpam-3980	304	24	1	1	NUM
ejpam-3980	304	25	,	,	PUNCT
ejpam-3980	304	26	2)∗fuzzy	2)∗fuzzy	NUM
ejpam-3980	304	27	soft	soft	ADJ
ejpam-3980	304	28	b	b	NOUN
ejpam-3980	304	29	-	-	PUNCT
ejpam-3980	304	30	connectedness	connectedness	NOUN
ejpam-3980	304	31	and	and	CCONJ
ejpam-3980	304	32	(	(	PUNCT
ejpam-3980	304	33	1	1	NUM
ejpam-3980	304	34	,	,	PUNCT
ejpam-3980	304	35	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	304	36	soft	soft	ADJ
ejpam-3980	304	37	b	b	NOUN
ejpam-3980	304	38	-	-	PUNCT
ejpam-3980	304	39	compactness	compactness	NOUN
ejpam-3980	304	40	in	in	ADP
ejpam-3980	304	41	fuzzy	fuzzy	ADJ
ejpam-3980	304	42	soft	soft	ADJ
ejpam-3980	304	43	bitopological	bitopological	ADJ
ejpam-3980	304	44	spaces	space	NOUN
ejpam-3980	304	45	.	.	PUNCT
ejpam-3980	305	1	then	then	ADV
ejpam-3980	305	2	,	,	PUNCT
ejpam-3980	305	3	some	some	DET
ejpam-3980	305	4	basic	basic	ADJ
ejpam-3980	305	5	topological	topological	ADJ
ejpam-3980	305	6	properties	property	NOUN
ejpam-3980	305	7	of	of	ADP
ejpam-3980	305	8	these	these	DET
ejpam-3980	305	9	notions	notion	NOUN
ejpam-3980	305	10	were	be	AUX
ejpam-3980	305	11	investigated	investigate	VERB
ejpam-3980	305	12	.	.	PUNCT
ejpam-3980	306	1	also	also	ADV
ejpam-3980	306	2	,	,	PUNCT
ejpam-3980	306	3	some	some	DET
ejpam-3980	306	4	illustrative	illustrative	ADJ
ejpam-3980	306	5	examples	example	NOUN
ejpam-3980	306	6	were	be	AUX
ejpam-3980	306	7	given	give	VERB
ejpam-3980	306	8	to	to	PART
ejpam-3980	306	9	show	show	VERB
ejpam-3980	306	10	the	the	DET
ejpam-3980	306	11	importance	importance	NOUN
ejpam-3980	306	12	of	of	ADP
ejpam-3980	306	13	the	the	DET
ejpam-3980	306	14	obtained	obtain	VERB
ejpam-3980	306	15	theorems	theorem	NOUN
ejpam-3980	306	16	.	.	PUNCT
ejpam-3980	307	1	we	we	PRON
ejpam-3980	307	2	hope	hope	VERB
ejpam-3980	307	3	that	that	SCONJ
ejpam-3980	307	4	this	this	DET
ejpam-3980	307	5	paper	paper	NOUN
ejpam-3980	307	6	will	will	AUX
ejpam-3980	307	7	be	be	AUX
ejpam-3980	307	8	important	important	ADJ
ejpam-3980	307	9	for	for	ADP
ejpam-3980	307	10	researchers	researcher	NOUN
ejpam-3980	307	11	to	to	ADP
ejpam-3980	307	12	studying	study	VERB
ejpam-3980	307	13	many	many	ADJ
ejpam-3980	307	14	other	other	ADJ
ejpam-3980	307	15	concepts	concept	NOUN
ejpam-3980	307	16	and	and	CCONJ
ejpam-3980	307	17	also	also	ADV
ejpam-3980	307	18	the	the	DET
ejpam-3980	307	19	generalization	generalization	NOUN
ejpam-3980	307	20	for	for	ADP
ejpam-3980	307	21	some	some	DET
ejpam-3980	307	22	important	important	ADJ
ejpam-3980	307	23	results	result	NOUN
ejpam-3980	307	24	in	in	ADP
ejpam-3980	307	25	topology	topology	NOUN
ejpam-3980	307	26	.	.	PUNCT
ejpam-3980	308	1	acknowledgements	acknowledgement	VERB
ejpam-3980	308	2	the	the	DET
ejpam-3980	308	3	author	author	NOUN
ejpam-3980	308	4	is	be	AUX
ejpam-3980	308	5	very	very	ADV
ejpam-3980	308	6	grateful	grateful	ADJ
ejpam-3980	308	7	to	to	ADP
ejpam-3980	308	8	the	the	DET
ejpam-3980	308	9	editor	editor	NOUN
ejpam-3980	308	10	and	and	CCONJ
ejpam-3980	308	11	the	the	DET
ejpam-3980	308	12	reviewers	reviewer	NOUN
ejpam-3980	308	13	for	for	ADP
ejpam-3980	308	14	their	their	PRON
ejpam-3980	308	15	valuable	valuable	ADJ
ejpam-3980	308	16	suggestions	suggestion	NOUN
ejpam-3980	308	17	.	.	PUNCT
ejpam-3980	309	1	references	reference	NOUN
ejpam-3980	309	2	[	[	X
ejpam-3980	309	3	1	1	X
ejpam-3980	309	4	]	]	X
ejpam-3980	309	5	n.a	n.a	PROPN
ejpam-3980	309	6	.	.	PROPN
ejpam-3980	309	7	taş	taş	NOUN
ejpam-3980	309	8	a.	a.	NOUN
ejpam-3980	309	9	açıkgöz	açıkgöz	NOUN
ejpam-3980	309	10	and	and	CCONJ
ejpam-3980	309	11	t.a	t.a	PROPN
ejpam-3980	309	12	.	.	PROPN
ejpam-3980	309	13	noiri	noiri	PROPN
ejpam-3980	309	14	.	.	PUNCT
ejpam-3980	310	1	a	a	DET
ejpam-3980	310	2	decomposition	decomposition	NOUN
ejpam-3980	310	3	of	of	ADP
ejpam-3980	310	4	some	some	DET
ejpam-3980	310	5	types	type	NOUN
ejpam-3980	310	6	of	of	ADP
ejpam-3980	310	7	mixed	mixed	ADJ
ejpam-3980	310	8	soft	soft	ADJ
ejpam-3980	310	9	continuity	continuity	NOUN
ejpam-3980	310	10	in	in	ADP
ejpam-3980	310	11	soft	soft	ADJ
ejpam-3980	310	12	topological	topological	ADJ
ejpam-3980	310	13	spaces	space	NOUN
ejpam-3980	310	14	.	.	PUNCT
ejpam-3980	311	1	filomat	filomat	NOUN
ejpam-3980	311	2	,	,	PUNCT
ejpam-3980	311	3	30(2):379–385	30(2):379–385	PROPN
ejpam-3980	311	4	,	,	PUNCT
ejpam-3980	311	5	2016	2016	NUM
ejpam-3980	311	6	.	.	PUNCT
ejpam-3980	312	1	[	[	X
ejpam-3980	312	2	2	2	NUM
ejpam-3980	312	3	]	]	X
ejpam-3980	312	4	s.a	s.a	PROPN
ejpam-3980	312	5	.	.	PROPN
ejpam-3980	312	6	el	el	PROPN
ejpam-3980	312	7	-	-	PUNCT
ejpam-3980	312	8	sheikh	sheikh	PROPN
ejpam-3980	312	9	a.	a.	PROPN
ejpam-3980	312	10	kandil	kandil	PROPN
ejpam-3980	312	11	,	,	PUNCT
ejpam-3980	312	12	o.a.e	o.a.e	PROPN
ejpam-3980	312	13	.	.	PUNCT
ejpam-3980	312	14	tantawy	tantawy	PROPN
ejpam-3980	312	15	and	and	CCONJ
ejpam-3980	312	16	s.a	s.a	PROPN
ejpam-3980	312	17	.	.	PROPN
ejpam-3980	312	18	hazza	hazza	PROPN
ejpam-3980	312	19	.	.	PUNCT
ejpam-3980	313	1	pairwise	pairwise	PROPN
ejpam-3980	313	2	open	open	ADJ
ejpam-3980	313	3	(	(	PUNCT
ejpam-3980	313	4	closed	closed	ADJ
ejpam-3980	313	5	)	)	PUNCT
ejpam-3980	313	6	soft	soft	ADJ
ejpam-3980	313	7	sets	set	NOUN
ejpam-3980	313	8	in	in	ADP
ejpam-3980	313	9	soft	soft	ADJ
ejpam-3980	313	10	bitopological	bitopological	ADJ
ejpam-3980	313	11	spaces	space	NOUN
ejpam-3980	313	12	.	.	PUNCT
ejpam-3980	314	1	annals	annal	NOUN
ejpam-3980	314	2	of	of	ADP
ejpam-3980	314	3	fuzzy	fuzzy	ADJ
ejpam-3980	314	4	mathematics	mathematic	NOUN
ejpam-3980	314	5	and	and	CCONJ
ejpam-3980	314	6	informatics	informatic	NOUN
ejpam-3980	314	7	,	,	PUNCT
ejpam-3980	314	8	11(4):1–20	11(4):1–20	NUM
ejpam-3980	314	9	,	,	PUNCT
ejpam-3980	314	10	2016	2016	NUM
ejpam-3980	314	11	.	.	PUNCT
ejpam-3980	315	1	references	reference	NOUN
ejpam-3980	315	2	770	770	NUM
ejpam-3980	315	3	[	[	X
ejpam-3980	315	4	3	3	NUM
ejpam-3980	315	5	]	]	X
ejpam-3980	315	6	s.a	s.a	PROPN
ejpam-3980	315	7	.	.	PROPN
ejpam-3980	315	8	el	el	PROPN
ejpam-3980	315	9	-	-	PUNCT
ejpam-3980	315	10	sheikh	sheikh	PROPN
ejpam-3980	315	11	a.	a.	PROPN
ejpam-3980	315	12	kandil	kandil	PROPN
ejpam-3980	315	13	,	,	PUNCT
ejpam-3980	315	14	o.a.e	o.a.e	PROPN
ejpam-3980	315	15	.	.	PUNCT
ejpam-3980	315	16	tantawy	tantawy	PROPN
ejpam-3980	315	17	and	and	CCONJ
ejpam-3980	315	18	s.a	s.a	PROPN
ejpam-3980	315	19	.	.	PROPN
ejpam-3980	315	20	hazza	hazza	PROPN
ejpam-3980	315	21	.	.	PUNCT
ejpam-3980	316	1	pairwise	pairwise	VERB
ejpam-3980	316	2	soft	soft	ADJ
ejpam-3980	316	3	separation	separation	NOUN
ejpam-3980	316	4	axioms	axiom	NOUN
ejpam-3980	316	5	in	in	ADP
ejpam-3980	316	6	soft	soft	ADJ
ejpam-3980	316	7	bitopological	bitopological	ADJ
ejpam-3980	316	8	spaces	space	NOUN
ejpam-3980	316	9	.	.	PUNCT
ejpam-3980	317	1	annals	annal	NOUN
ejpam-3980	317	2	of	of	ADP
ejpam-3980	317	3	fuzzy	fuzzy	ADJ
ejpam-3980	317	4	mathematics	mathematic	NOUN
ejpam-3980	317	5	and	and	CCONJ
ejpam-3980	317	6	informatics	informatic	NOUN
ejpam-3980	317	7	,	,	PUNCT
ejpam-3980	317	8	4(4):571–588	4(4):571–588	NUM
ejpam-3980	317	9	,	,	PUNCT
ejpam-3980	317	10	2016	2016	NUM
ejpam-3980	317	11	.	.	PUNCT
ejpam-3980	318	1	[	[	X
ejpam-3980	318	2	4	4	NUM
ejpam-3980	318	3	]	]	PUNCT
ejpam-3980	318	4	a.	a.	NOUN
ejpam-3980	318	5	açıkgöz	açıkgöz	NOUN
ejpam-3980	318	6	and	and	CCONJ
ejpam-3980	318	7	n.a	n.a	PROPN
ejpam-3980	318	8	.	.	PROPN
ejpam-3980	318	9	taş.	taş.	PROPN
ejpam-3980	318	10	some	some	DET
ejpam-3980	318	11	new	new	ADJ
ejpam-3980	318	12	mixed	mixed	ADJ
ejpam-3980	318	13	soft	soft	ADJ
ejpam-3980	318	14	sets	set	NOUN
ejpam-3980	318	15	.	.	PUNCT
ejpam-3980	319	1	mathematical	mathematical	ADJ
ejpam-3980	319	2	sciences	science	NOUN
ejpam-3980	319	3	and	and	CCONJ
ejpam-3980	319	4	applications	application	NOUN
ejpam-3980	319	5	e	e	NOUN
ejpam-3980	319	6	-	-	NOUN
ejpam-3980	319	7	notes	note	NOUN
ejpam-3980	319	8	,	,	PUNCT
ejpam-3980	319	9	2(2):105–118	2(2):105–118	NUM
ejpam-3980	319	10	,	,	PUNCT
ejpam-3980	319	11	2014	2014	NUM
ejpam-3980	319	12	.	.	PUNCT
ejpam-3980	320	1	[	[	X
ejpam-3980	320	2	5	5	X
ejpam-3980	320	3	]	]	PUNCT
ejpam-3980	320	4	e.	e.	PROPN
ejpam-3980	320	5	yesil	yesil	PROPN
ejpam-3980	320	6	c.	c.	PROPN
ejpam-3980	320	7	eksin	eksin	PROPN
ejpam-3980	320	8	,	,	PUNCT
ejpam-3980	320	9	m.	m.	NOUN
ejpam-3980	320	10	güzelkaya	güzelkaya	NOUN
ejpam-3980	320	11	and	and	CCONJ
ejpam-3980	320	12	i.	i.	PROPN
ejpam-3980	320	13	eksin	eksin	PROPN
ejpam-3980	320	14	.	.	PUNCT
ejpam-3980	321	1	fuzzy	fuzzy	ADJ
ejpam-3980	321	2	logic	logic	NOUN
ejpam-3980	321	3	approach	approach	NOUN
ejpam-3980	321	4	to	to	ADP
ejpam-3980	321	5	mimic	mimic	ADJ
ejpam-3980	321	6	decision	decision	NOUN
ejpam-3980	321	7	making	make	VERB
ejpam-3980	321	8	behaviour	behaviour	NOUN
ejpam-3980	321	9	of	of	ADP
ejpam-3980	321	10	humans	human	NOUN
ejpam-3980	321	11	in	in	ADP
ejpam-3980	321	12	stock	stock	NOUN
ejpam-3980	321	13	management	management	NOUN
ejpam-3980	321	14	game	game	NOUN
ejpam-3980	321	15	.	.	PUNCT
ejpam-3980	322	1	proceedings	proceeding	NOUN
ejpam-3980	322	2	of	of	ADP
ejpam-3980	322	3	the	the	DET
ejpam-3980	322	4	2008	2008	NUM
ejpam-3980	322	5	system	system	NOUN
ejpam-3980	322	6	dynamics	dynamic	NOUN
ejpam-3980	322	7	conference	conference	NOUN
ejpam-3980	322	8	,	,	PUNCT
ejpam-3980	322	9	2008	2008	NUM
ejpam-3980	322	10	.	.	PUNCT
ejpam-3980	323	1	[	[	X
ejpam-3980	323	2	6	6	NUM
ejpam-3980	323	3	]	]	X
ejpam-3980	323	4	d.	d.	PROPN
ejpam-3980	323	5	chen	chen	PROPN
ejpam-3980	323	6	.	.	PUNCT
ejpam-3980	324	1	the	the	DET
ejpam-3980	324	2	parametrization	parametrization	NOUN
ejpam-3980	324	3	reduction	reduction	NOUN
ejpam-3980	324	4	of	of	ADP
ejpam-3980	324	5	soft	soft	ADJ
ejpam-3980	324	6	sets	set	NOUN
ejpam-3980	324	7	and	and	CCONJ
ejpam-3980	324	8	its	its	PRON
ejpam-3980	324	9	applications	application	NOUN
ejpam-3980	324	10	.	.	PUNCT
ejpam-3980	325	1	computers	computer	NOUN
ejpam-3980	325	2	and	and	CCONJ
ejpam-3980	325	3	mathematics	mathematic	NOUN
ejpam-3980	325	4	with	with	ADP
ejpam-3980	325	5	applications	application	NOUN
ejpam-3980	325	6	,	,	PUNCT
ejpam-3980	325	7	49(5	49(5	NOUN
ejpam-3980	325	8	-	-	SYM
ejpam-3980	325	9	6):757–763	6):757–763	NUM
ejpam-3980	325	10	,	,	PUNCT
ejpam-3980	325	11	2005	2005	NUM
ejpam-3980	325	12	.	.	PUNCT
ejpam-3980	326	1	[	[	X
ejpam-3980	326	2	7	7	NUM
ejpam-3980	326	3	]	]	X
ejpam-3980	326	4	c.c	c.c	PROPN
ejpam-3980	326	5	.	.	PROPN
ejpam-3980	326	6	chou	chou	PROPN
ejpam-3980	326	7	,	,	PUNCT
ejpam-3980	326	8	j.m	j.m	PROPN
ejpam-3980	326	9	.	.	PROPN
ejpam-3980	326	10	yih	yih	PROPN
ejpam-3980	326	11	,	,	PUNCT
ejpam-3980	326	12	j.f	j.f	PROPN
ejpam-3980	326	13	.	.	PROPN
ejpam-3980	326	14	ding	ding	PROPN
ejpam-3980	326	15	,	,	PUNCT
ejpam-3980	326	16	t.c	t.c	PROPN
ejpam-3980	326	17	.	.	PROPN
ejpam-3980	326	18	han	han	PROPN
ejpam-3980	326	19	,	,	PUNCT
ejpam-3980	326	20	y.h.lim	y.h.lim	PROPN
ejpam-3980	326	21	,	,	PUNCT
ejpam-3980	326	22	and	and	CCONJ
ejpam-3980	326	23	et	et	PROPN
ejpam-3980	326	24	al	al	PROPN
ejpam-3980	326	25	.	.	PUNCT
ejpam-3980	326	26	application	application	NOUN
ejpam-3980	326	27	of	of	ADP
ejpam-3980	326	28	a	a	DET
ejpam-3980	326	29	fuzzy	fuzzy	ADJ
ejpam-3980	326	30	eoq	eoq	NOUN
ejpam-3980	326	31	model	model	NOUN
ejpam-3980	326	32	to	to	ADP
ejpam-3980	326	33	the	the	DET
ejpam-3980	326	34	stock	stock	NOUN
ejpam-3980	326	35	management	management	NOUN
ejpam-3980	326	36	in	in	ADP
ejpam-3980	326	37	the	the	DET
ejpam-3980	326	38	manufacture	manufacture	NOUN
ejpam-3980	326	39	system	system	NOUN
ejpam-3980	326	40	.	.	PUNCT
ejpam-3980	327	1	key	key	ADJ
ejpam-3980	327	2	engineering	engineering	NOUN
ejpam-3980	327	3	materials	material	NOUN
ejpam-3980	327	4	,	,	PUNCT
ejpam-3980	327	5	499:757–763	499:757–763	NUM
ejpam-3980	327	6	,	,	PUNCT
ejpam-3980	327	7	2012	2012	NUM
ejpam-3980	327	8	.	.	PUNCT
ejpam-3980	328	1	[	[	X
ejpam-3980	328	2	8	8	NUM
ejpam-3980	328	3	]	]	X
ejpam-3980	328	4	g.	g.	PROPN
ejpam-3980	328	5	şenel	şenel	PROPN
ejpam-3980	328	6	.	.	PUNCT
ejpam-3980	329	1	a	a	DET
ejpam-3980	329	2	new	new	ADJ
ejpam-3980	329	3	approach	approach	NOUN
ejpam-3980	329	4	to	to	ADP
ejpam-3980	329	5	hausdorff	hausdorff	NOUN
ejpam-3980	329	6	space	space	NOUN
ejpam-3980	329	7	theory	theory	NOUN
ejpam-3980	329	8	via	via	ADP
ejpam-3980	329	9	the	the	DET
ejpam-3980	329	10	soft	soft	ADJ
ejpam-3980	329	11	sets	set	NOUN
ejpam-3980	329	12	.	.	PUNCT
ejpam-3980	330	1	mathematical	mathematical	ADJ
ejpam-3980	330	2	problems	problem	NOUN
ejpam-3980	330	3	in	in	ADP
ejpam-3980	330	4	engineering	engineering	NOUN
ejpam-3980	330	5	,	,	PUNCT
ejpam-3980	330	6	2016:6	2016:6	NUM
ejpam-3980	330	7	pages	page	NOUN
ejpam-3980	330	8	,	,	PUNCT
ejpam-3980	330	9	2016	2016	NUM
ejpam-3980	330	10	.	.	PUNCT
ejpam-3980	331	1	[	[	X
ejpam-3980	331	2	9	9	NUM
ejpam-3980	331	3	]	]	X
ejpam-3980	331	4	g.	g.	PROPN
ejpam-3980	331	5	şenel	şenel	PROPN
ejpam-3980	331	6	.	.	PUNCT
ejpam-3980	332	1	soft	soft	ADJ
ejpam-3980	332	2	topology	topology	NOUN
ejpam-3980	332	3	generated	generate	VERB
ejpam-3980	332	4	by	by	ADP
ejpam-3980	332	5	l	l	NOUN
ejpam-3980	332	6	-	-	ADJ
ejpam-3980	332	7	soft	soft	ADJ
ejpam-3980	332	8	sets	set	NOUN
ejpam-3980	332	9	.	.	PUNCT
ejpam-3980	333	1	journal	journal	NOUN
ejpam-3980	333	2	of	of	ADP
ejpam-3980	333	3	new	new	ADJ
ejpam-3980	333	4	theory	theory	NOUN
ejpam-3980	333	5	,	,	PUNCT
ejpam-3980	333	6	4(24):88	4(24):88	PROPN
ejpam-3980	333	7	–	–	PUNCT
ejpam-3980	333	8	100	100	NUM
ejpam-3980	333	9	,	,	PUNCT
ejpam-3980	333	10	2018	2018	NUM
ejpam-3980	333	11	.	.	PUNCT
ejpam-3980	334	1	[	[	X
ejpam-3980	334	2	10	10	NUM
ejpam-3980	334	3	]	]	X
ejpam-3980	334	4	g.	g.	PROPN
ejpam-3980	334	5	şenel	şenel	PROPN
ejpam-3980	334	6	and	and	CCONJ
ejpam-3980	334	7	n.	n.	PROPN
ejpam-3980	334	8	çağman	çağman	PROPN
ejpam-3980	334	9	.	.	PUNCT
ejpam-3980	334	10	soft	soft	ADJ
ejpam-3980	334	11	closed	closed	ADJ
ejpam-3980	334	12	sets	set	NOUN
ejpam-3980	334	13	on	on	ADP
ejpam-3980	334	14	soft	soft	ADJ
ejpam-3980	334	15	bitopological	bitopological	ADJ
ejpam-3980	334	16	space	space	NOUN
ejpam-3980	334	17	.	.	PUNCT
ejpam-3980	335	1	journal	journal	NOUN
ejpam-3980	335	2	of	of	ADP
ejpam-3980	335	3	new	new	ADJ
ejpam-3980	335	4	results	result	NOUN
ejpam-3980	335	5	in	in	ADP
ejpam-3980	335	6	science	science	NOUN
ejpam-3980	335	7	,	,	PUNCT
ejpam-3980	335	8	3(5):57–66	3(5):57–66	NUM
ejpam-3980	335	9	,	,	PUNCT
ejpam-3980	335	10	2014	2014	NUM
ejpam-3980	335	11	.	.	PUNCT
ejpam-3980	336	1	[	[	X
ejpam-3980	336	2	11	11	NUM
ejpam-3980	336	3	]	]	X
ejpam-3980	336	4	g.	g.	PROPN
ejpam-3980	336	5	şenel	şenel	PROPN
ejpam-3980	336	6	and	and	CCONJ
ejpam-3980	336	7	n.	n.	PROPN
ejpam-3980	336	8	çağman	çağman	PROPN
ejpam-3980	336	9	.	.	PUNCT
ejpam-3980	336	10	soft	soft	ADJ
ejpam-3980	336	11	topological	topological	ADJ
ejpam-3980	336	12	subspaces	subspace	NOUN
ejpam-3980	336	13	.	.	PUNCT
ejpam-3980	337	1	annals	annal	NOUN
ejpam-3980	337	2	of	of	ADP
ejpam-3980	337	3	fuzzy	fuzzy	ADJ
ejpam-3980	337	4	mathematics	mathematic	NOUN
ejpam-3980	337	5	and	and	CCONJ
ejpam-3980	337	6	informatics	informatic	NOUN
ejpam-3980	337	7	,	,	PUNCT
ejpam-3980	337	8	10(4):525–535	10(4):525–535	NUM
ejpam-3980	337	9	,	,	PUNCT
ejpam-3980	337	10	2015	2015	NUM
ejpam-3980	337	11	.	.	PUNCT
ejpam-3980	338	1	[	[	X
ejpam-3980	338	2	12	12	NUM
ejpam-3980	338	3	]	]	X
ejpam-3980	338	4	b.m	b.m	PROPN
ejpam-3980	338	5	.	.	PROPN
ejpam-3980	338	6	ittanagi	ittanagi	PROPN
ejpam-3980	338	7	.	.	PUNCT
ejpam-3980	339	1	soft	soft	ADJ
ejpam-3980	339	2	bitopological	bitopological	ADJ
ejpam-3980	339	3	spaces	space	NOUN
ejpam-3980	339	4	.	.	PUNCT
ejpam-3980	340	1	international	international	ADJ
ejpam-3980	340	2	journal	journal	PROPN
ejpam-3980	340	3	of	of	ADP
ejpam-3980	340	4	computer	computer	NOUN
ejpam-3980	340	5	applications	application	NOUN
ejpam-3980	340	6	,	,	PUNCT
ejpam-3980	340	7	107(7):1–4	107(7):1–4	NOUN
ejpam-3980	340	8	,	,	PUNCT
ejpam-3980	340	9	2014	2014	NUM
ejpam-3980	340	10	.	.	PUNCT
ejpam-3980	341	1	[	[	X
ejpam-3980	341	2	13	13	NUM
ejpam-3980	341	3	]	]	X
ejpam-3980	341	4	f.	f.	PROPN
ejpam-3980	341	5	karaca	karaca	PROPN
ejpam-3980	341	6	and	and	CCONJ
ejpam-3980	341	7	n.	n.	PROPN
ejpam-3980	341	8	taş.	taş.	PROPN
ejpam-3980	341	9	decision	decision	NOUN
ejpam-3980	341	10	making	make	VERB
ejpam-3980	341	11	problem	problem	NOUN
ejpam-3980	341	12	for	for	ADP
ejpam-3980	341	13	life	life	NOUN
ejpam-3980	341	14	and	and	CCONJ
ejpam-3980	341	15	non	non	ADJ
ejpam-3980	341	16	life	life	NOUN
ejpam-3980	341	17	insurances	insurance	NOUN
ejpam-3980	341	18	.	.	PUNCT
ejpam-3980	342	1	journal	journal	PROPN
ejpam-3980	342	2	of	of	ADP
ejpam-3980	342	3	balikesir	balikesir	PROPN
ejpam-3980	342	4	university	university	PROPN
ejpam-3980	342	5	institute	institute	PROPN
ejpam-3980	342	6	of	of	ADP
ejpam-3980	342	7	science	science	NOUN
ejpam-3980	342	8	and	and	CCONJ
ejpam-3980	342	9	technology	technology	NOUN
ejpam-3980	342	10	,	,	PUNCT
ejpam-3980	342	11	20(1):572–588	20(1):572–588	PROPN
ejpam-3980	342	12	,	,	PUNCT
ejpam-3980	342	13	2018	2018	NUM
ejpam-3980	342	14	.	.	PUNCT
ejpam-3980	343	1	[	[	X
ejpam-3980	343	2	14	14	NUM
ejpam-3980	343	3	]	]	X
ejpam-3980	343	4	j.c	j.c	PROPN
ejpam-3980	343	5	.	.	PROPN
ejpam-3980	343	6	kelly	kelly	PROPN
ejpam-3980	343	7	.	.	PUNCT
ejpam-3980	344	1	bitopological	bitopological	ADJ
ejpam-3980	344	2	spaces	space	NOUN
ejpam-3980	344	3	.	.	PUNCT
ejpam-3980	345	1	proceedings	proceeding	NOUN
ejpam-3980	345	2	of	of	ADP
ejpam-3980	345	3	the	the	DET
ejpam-3980	345	4	london	london	PROPN
ejpam-3980	345	5	mathematical	mathematical	ADJ
ejpam-3980	345	6	society	society	NOUN
ejpam-3980	345	7	,	,	PUNCT
ejpam-3980	345	8	13:71–81	13:71–81	NUM
ejpam-3980	345	9	,	,	PUNCT
ejpam-3980	345	10	1963	1963	NUM
ejpam-3980	345	11	.	.	PUNCT
ejpam-3980	346	1	[	[	X
ejpam-3980	346	2	15	15	NUM
ejpam-3980	346	3	]	]	X
ejpam-3980	346	4	p.k	p.k	PROPN
ejpam-3980	346	5	.	.	PROPN
ejpam-3980	346	6	maji	maji	PROPN
ejpam-3980	346	7	,	,	PUNCT
ejpam-3980	346	8	r.	r.	PROPN
ejpam-3980	346	9	biswas	biswas	PROPN
ejpam-3980	346	10	,	,	PUNCT
ejpam-3980	346	11	and	and	CCONJ
ejpam-3980	346	12	a.r	a.r	PROPN
ejpam-3980	346	13	.	.	PROPN
ejpam-3980	346	14	roy	roy	PROPN
ejpam-3980	346	15	.	.	PROPN
ejpam-3980	346	16	fuzzy	fuzzy	ADJ
ejpam-3980	346	17	soft	soft	ADJ
ejpam-3980	346	18	sets	set	NOUN
ejpam-3980	346	19	.	.	PUNCT
ejpam-3980	347	1	journal	journal	NOUN
ejpam-3980	347	2	of	of	ADP
ejpam-3980	347	3	fuzzy	fuzzy	ADJ
ejpam-3980	347	4	mathematics	mathematic	NOUN
ejpam-3980	347	5	,	,	PUNCT
ejpam-3980	347	6	9(3):589–602	9(3):589–602	NOUN
ejpam-3980	347	7	,	,	PUNCT
ejpam-3980	347	8	2001	2001	NUM
ejpam-3980	347	9	.	.	PUNCT
ejpam-3980	348	1	[	[	X
ejpam-3980	348	2	16	16	NUM
ejpam-3980	348	3	]	]	X
ejpam-3980	348	4	d.	d.	PROPN
ejpam-3980	348	5	molodtsov	molodtsov	PROPN
ejpam-3980	348	6	.	.	PUNCT
ejpam-3980	349	1	soft	soft	ADJ
ejpam-3980	349	2	set	set	NOUN
ejpam-3980	349	3	theory	theory	NOUN
ejpam-3980	349	4	-	-	PUNCT
ejpam-3980	349	5	first	first	ADJ
ejpam-3980	349	6	results	result	NOUN
ejpam-3980	349	7	.	.	PUNCT
ejpam-3980	350	1	comput	comput	NOUN
ejpam-3980	350	2	.	.	PUNCT
ejpam-3980	351	1	math	math	NOUN
ejpam-3980	351	2	.	.	PUNCT
ejpam-3980	352	1	appl	appl	PROPN
ejpam-3980	352	2	.	.	PROPN
ejpam-3980	352	3	,	,	PUNCT
ejpam-3980	352	4	37:19–31	37:19–31	PROPN
ejpam-3980	352	5	,	,	PUNCT
ejpam-3980	352	6	1999	1999	NUM
ejpam-3980	352	7	.	.	PUNCT
ejpam-3980	353	1	[	[	X
ejpam-3980	353	2	17	17	NUM
ejpam-3980	353	3	]	]	X
ejpam-3980	353	4	p.	p.	NOUN
ejpam-3980	353	5	mukherjee	mukherjee	PROPN
ejpam-3980	353	6	and	and	CCONJ
ejpam-3980	353	7	c.	c.	PROPN
ejpam-3980	353	8	park	park	PROPN
ejpam-3980	353	9	.	.	PUNCT
ejpam-3980	354	1	on	on	ADP
ejpam-3980	354	2	fuzzy	fuzzy	ADJ
ejpam-3980	354	3	soft	soft	ADJ
ejpam-3980	354	4	bitopological	bitopological	ADJ
ejpam-3980	354	5	spaces	space	NOUN
ejpam-3980	354	6	.	.	PUNCT
ejpam-3980	355	1	mathematics	mathematic	NOUN
ejpam-3980	355	2	and	and	CCONJ
ejpam-3980	355	3	computer	computer	NOUN
ejpam-3980	355	4	sciences	sciences	PROPN
ejpam-3980	355	5	journal	journal	PROPN
ejpam-3980	355	6	(	(	PUNCT
ejpam-3980	355	7	mcsj	mcsj	NOUN
ejpam-3980	355	8	)	)	PUNCT
ejpam-3980	355	9	,	,	PUNCT
ejpam-3980	355	10	10(7):1–8	10(7):1–8	NUM
ejpam-3980	355	11	,	,	PUNCT
ejpam-3980	355	12	2005	2005	NUM
ejpam-3980	355	13	.	.	PUNCT
ejpam-3980	356	1	references	reference	NOUN
ejpam-3980	356	2	771	771	NUM
ejpam-3980	357	1	[	[	X
ejpam-3980	357	2	18	18	NUM
ejpam-3980	357	3	]	]	PUNCT
ejpam-3980	357	4	s.	s.	PROPN
ejpam-3980	357	5	karataş	karataş	PROPN
ejpam-3980	357	6	n.	n.	PROPN
ejpam-3980	357	7	çağman	çağman	PROPN
ejpam-3980	357	8	and	and	CCONJ
ejpam-3980	357	9	s.	s.	PROPN
ejpam-3980	357	10	enginoglu	enginoglu	PROPN
ejpam-3980	357	11	.	.	PUNCT
ejpam-3980	358	1	soft	soft	ADJ
ejpam-3980	358	2	topology	topology	NOUN
ejpam-3980	358	3	.	.	PUNCT
ejpam-3980	359	1	comp	comp	PROPN
ejpam-3980	359	2	.	.	PUNCT
ejpam-3980	360	1	and	and	CCONJ
ejpam-3980	360	2	math	math	NOUN
ejpam-3980	360	3	.	.	PUNCT
ejpam-3980	361	1	with	with	ADP
ejpam-3980	361	2	app	app	PROPN
ejpam-3980	361	3	.	.	PROPN
ejpam-3980	361	4	,	,	PUNCT
ejpam-3980	361	5	62(1):351–358	62(1):351–358	PROPN
ejpam-3980	361	6	,	,	PUNCT
ejpam-3980	361	7	2011	2011	NUM
ejpam-3980	361	8	.	.	PUNCT
ejpam-3980	362	1	[	[	X
ejpam-3980	362	2	19	19	NUM
ejpam-3980	362	3	]	]	X
ejpam-3980	362	4	n.y	n.y	PROPN
ejpam-3980	362	5	.	.	PROPN
ejpam-3980	362	6	özgür	özgür	PROPN
ejpam-3980	362	7	n.	n.	VERB
ejpam-3980	362	8	taş	taş	PROPN
ejpam-3980	362	9	and	and	CCONJ
ejpam-3980	362	10	p.	p.	PROPN
ejpam-3980	362	11	demir	demir	PROPN
ejpam-3980	362	12	.	.	PUNCT
ejpam-3980	363	1	an	an	DET
ejpam-3980	363	2	application	application	NOUN
ejpam-3980	363	3	of	of	ADP
ejpam-3980	363	4	soft	soft	ADJ
ejpam-3980	363	5	set	set	NOUN
ejpam-3980	363	6	and	and	CCONJ
ejpam-3980	363	7	fuzzy	fuzzy	ADJ
ejpam-3980	363	8	soft	soft	ADJ
ejpam-3980	363	9	set	set	NOUN
ejpam-3980	363	10	theories	theory	NOUN
ejpam-3980	363	11	to	to	ADP
ejpam-3980	363	12	stock	stock	NOUN
ejpam-3980	363	13	management	management	NOUN
ejpam-3980	363	14	.	.	PUNCT
ejpam-3980	364	1	süleyman	süleyman	ADJ
ejpam-3980	364	2	demirel	demirel	PROPN
ejpam-3980	364	3	university	university	PROPN
ejpam-3980	364	4	journal	journal	NOUN
ejpam-3980	364	5	of	of	ADP
ejpam-3980	364	6	natural	natural	ADJ
ejpam-3980	364	7	and	and	CCONJ
ejpam-3980	364	8	applied	applied	ADJ
ejpam-3980	364	9	sciences	science	NOUN
ejpam-3980	364	10	,	,	PUNCT
ejpam-3980	364	11	21(3):791–796	21(3):791–796	NOUN
ejpam-3980	364	12	,	,	PUNCT
ejpam-3980	364	13	2017	2017	NUM
ejpam-3980	364	14	.	.	PUNCT
ejpam-3980	365	1	[	[	X
ejpam-3980	365	2	20	20	NUM
ejpam-3980	365	3	]	]	SYM
ejpam-3980	365	4	n.y	n.y	PROPN
ejpam-3980	365	5	.	.	PROPN
ejpam-3980	365	6	özgür	özgür	PROPN
ejpam-3980	365	7	and	and	CCONJ
ejpam-3980	365	8	n.	n.	VERB
ejpam-3980	365	9	taş.	taş.	PROPN
ejpam-3980	365	10	a	a	DET
ejpam-3980	365	11	note	note	NOUN
ejpam-3980	365	12	on	on	ADP
ejpam-3980	365	13	”	"	PUNCT
ejpam-3980	365	14	application	application	NOUN
ejpam-3980	365	15	of	of	ADP
ejpam-3980	365	16	fuzzy	fuzzy	ADJ
ejpam-3980	365	17	soft	soft	ADJ
ejpam-3980	365	18	sets	set	NOUN
ejpam-3980	365	19	to	to	ADP
ejpam-3980	365	20	investment	investment	NOUN
ejpam-3980	365	21	decision	decision	NOUN
ejpam-3980	365	22	making	make	VERB
ejpam-3980	365	23	problem	problem	NOUN
ejpam-3980	365	24	”	"	PUNCT
ejpam-3980	365	25	.	.	PUNCT
ejpam-3980	366	1	journal	journal	PROPN
ejpam-3980	366	2	of	of	ADP
ejpam-3980	366	3	new	new	ADJ
ejpam-3980	366	4	theory	theory	NOUN
ejpam-3980	366	5	,	,	PUNCT
ejpam-3980	366	6	1(7):1–10	1(7):1–10	NUM
ejpam-3980	366	7	,	,	PUNCT
ejpam-3980	366	8	2015	2015	NUM
ejpam-3980	366	9	.	.	PUNCT
ejpam-3980	367	1	[	[	X
ejpam-3980	367	2	21	21	NUM
ejpam-3980	367	3	]	]	X
ejpam-3980	367	4	t.y	t.y	PROPN
ejpam-3980	367	5	.	.	PUNCT
ejpam-3980	368	1	öztürk	öztürk	PROPN
ejpam-3980	368	2	and	and	CCONJ
ejpam-3980	368	3	m.	m.	NOUN
ejpam-3980	368	4	karademr	karademr	PROPN
ejpam-3980	368	5	.	.	PUNCT
ejpam-3980	369	1	soft	soft	ADJ
ejpam-3980	369	2	pair	pair	NOUN
ejpam-3980	369	3	-	-	PUNCT
ejpam-3980	369	4	wise	wise	ADJ
ejpam-3980	369	5	b	b	NOUN
ejpam-3980	369	6	-	-	PUNCT
ejpam-3980	369	7	continuity	continuity	NOUN
ejpam-3980	369	8	on	on	ADP
ejpam-3980	369	9	soft	soft	ADJ
ejpam-3980	369	10	bitopological	bitopological	ADJ
ejpam-3980	369	11	spaces	space	NOUN
ejpam-3980	369	12	.	.	PUNCT
ejpam-3980	370	1	celal	celal	PROPN
ejpam-3980	370	2	bayar	bayar	PROPN
ejpam-3980	370	3	university	university	PROPN
ejpam-3980	370	4	journal	journal	PROPN
ejpam-3980	370	5	of	of	ADP
ejpam-3980	370	6	science	science	NOUN
ejpam-3980	370	7	,	,	PUNCT
ejpam-3980	370	8	13(2):413–422	13(2):413–422	PROPN
ejpam-3980	370	9	,	,	PUNCT
ejpam-3980	370	10	2017	2017	NUM
ejpam-3980	370	11	.	.	PUNCT
ejpam-3980	371	1	[	[	X
ejpam-3980	371	2	22	22	NUM
ejpam-3980	371	3	]	]	PUNCT
ejpam-3980	371	4	r.	r.	PROPN
ejpam-3980	371	5	biswas	biswas	PROPN
ejpam-3980	371	6	p.	p.	PROPN
ejpam-3980	371	7	maji	maji	PROPN
ejpam-3980	371	8	and	and	CCONJ
ejpam-3980	371	9	a.r	a.r	PROPN
ejpam-3980	371	10	.	.	PROPN
ejpam-3980	371	11	roy	roy	PROPN
ejpam-3980	371	12	.	.	PROPN
ejpam-3980	371	13	soft	soft	ADJ
ejpam-3980	371	14	set	set	NOUN
ejpam-3980	371	15	theory	theory	NOUN
ejpam-3980	371	16	.	.	PUNCT
ejpam-3980	372	1	computers	computer	NOUN
ejpam-3980	372	2	and	and	CCONJ
ejpam-3980	372	3	mathematics	mathematic	NOUN
ejpam-3980	372	4	with	with	ADP
ejpam-3980	372	5	applications	application	NOUN
ejpam-3980	372	6	,	,	PUNCT
ejpam-3980	372	7	45:555–562	45:555–562	PROPN
ejpam-3980	372	8	,	,	PUNCT
ejpam-3980	372	9	2003	2003	NUM
ejpam-3980	372	10	.	.	PUNCT
ejpam-3980	373	1	[	[	X
ejpam-3980	373	2	23	23	NUM
ejpam-3980	373	3	]	]	X
ejpam-3980	373	4	c.w	c.w	PROPN
ejpam-3980	373	5	.	.	PROPN
ejpam-3980	373	6	patty	patty	PROPN
ejpam-3980	373	7	.	.	PUNCT
ejpam-3980	373	8	bitopological	bitopological	ADJ
ejpam-3980	373	9	spaces	space	NOUN
ejpam-3980	373	10	.	.	PUNCT
ejpam-3980	374	1	duke	duke	PROPN
ejpam-3980	374	2	mathematical	mathematical	PROPN
ejpam-3980	374	3	journal	journal	PROPN
ejpam-3980	374	4	,	,	PUNCT
ejpam-3980	374	5	34:387–392	34:387–392	NUM
ejpam-3980	374	6	,	,	PUNCT
ejpam-3980	374	7	1967	1967	NUM
ejpam-3980	374	8	.	.	PUNCT
ejpam-3980	375	1	[	[	X
ejpam-3980	375	2	24	24	NUM
ejpam-3980	375	3	]	]	X
ejpam-3980	375	4	i.l	i.l	PROPN
ejpam-3980	375	5	.	.	PUNCT
ejpam-3980	375	6	reilly	reilly	PROPN
ejpam-3980	375	7	.	.	PUNCT
ejpam-3980	376	1	on	on	ADP
ejpam-3980	376	2	bitopological	bitopological	ADJ
ejpam-3980	376	3	separation	separation	NOUN
ejpam-3980	376	4	properties	property	NOUN
ejpam-3980	376	5	.	.	PUNCT
ejpam-3980	377	1	nanta	nanta	PROPN
ejpam-3980	377	2	mathematica	mathematica	PROPN
ejpam-3980	377	3	,	,	PUNCT
ejpam-3980	377	4	29:14–25	29:14–25	NUM
ejpam-3980	377	5	,	,	PUNCT
ejpam-3980	377	6	1972	1972	NUM
ejpam-3980	377	7	.	.	PUNCT
ejpam-3980	378	1	[	[	X
ejpam-3980	378	2	25	25	NUM
ejpam-3980	378	3	]	]	X
ejpam-3980	378	4	n.	n.	PROPN
ejpam-3980	378	5	revathi	revathi	PROPN
ejpam-3980	378	6	and	and	CCONJ
ejpam-3980	378	7	k.	k.	PROPN
ejpam-3980	378	8	bageerathi	bageerathi	PROPN
ejpam-3980	378	9	.	.	PUNCT
ejpam-3980	379	1	on	on	ADP
ejpam-3980	379	2	soft	soft	ADJ
ejpam-3980	379	3	b	b	NOUN
ejpam-3980	379	4	-	-	PUNCT
ejpam-3980	379	5	open	open	ADJ
ejpam-3980	379	6	sets	set	NOUN
ejpam-3980	379	7	in	in	ADP
ejpam-3980	379	8	soft	soft	ADJ
ejpam-3980	379	9	bitopological	bitopological	ADJ
ejpam-3980	379	10	space	space	NOUN
ejpam-3980	379	11	.	.	PUNCT
ejpam-3980	380	1	international	international	ADJ
ejpam-3980	380	2	journal	journal	PROPN
ejpam-3980	380	3	of	of	ADP
ejpam-3980	380	4	applied	apply	VERB
ejpam-3980	380	5	research	research	NOUN
ejpam-3980	380	6	,	,	PUNCT
ejpam-3980	380	7	1(11):615–623	1(11):615–623	NUM
ejpam-3980	380	8	,	,	PUNCT
ejpam-3980	380	9	2015	2015	NUM
ejpam-3980	380	10	.	.	PUNCT
ejpam-3980	381	1	[	[	X
ejpam-3980	381	2	26	26	NUM
ejpam-3980	381	3	]	]	X
ejpam-3980	381	4	n.	n.	PROPN
ejpam-3980	381	5	revathi	revathi	PROPN
ejpam-3980	381	6	and	and	CCONJ
ejpam-3980	381	7	k.	k.	PROPN
ejpam-3980	381	8	bageerathi	bageerathi	PROPN
ejpam-3980	381	9	.	.	PUNCT
ejpam-3980	382	1	(	(	PUNCT
ejpam-3980	382	2	1	1	NUM
ejpam-3980	382	3	,	,	PUNCT
ejpam-3980	382	4	2)∗-soft	2)∗-soft	NOUN
ejpam-3980	382	5	b	b	X
ejpam-3980	382	6	-	-	PUNCT
ejpam-3980	382	7	continuous	continuous	ADJ
ejpam-3980	382	8	and	and	CCONJ
ejpam-3980	382	9	(	(	PUNCT
ejpam-3980	382	10	1	1	NUM
ejpam-3980	382	11	,	,	PUNCT
ejpam-3980	382	12	2)∗-soft	2)∗-soft	ADJ
ejpam-3980	382	13	b	b	X
ejpam-3980	382	14	-	-	PUNCT
ejpam-3980	382	15	closed	closed	ADJ
ejpam-3980	382	16	map	map	NOUN
ejpam-3980	382	17	.	.	PUNCT
ejpam-3980	383	1	asian	asian	ADJ
ejpam-3980	383	2	journal	journal	PROPN
ejpam-3980	383	3	of	of	ADP
ejpam-3980	383	4	mathematics	mathematics	PROPN
ejpam-3980	383	5	and	and	CCONJ
ejpam-3980	383	6	computer	computer	NOUN
ejpam-3980	383	7	research	research	NOUN
ejpam-3980	383	8	,	,	PUNCT
ejpam-3980	383	9	17(2):111–122	17(2):111–122	NUM
ejpam-3980	383	10	,	,	PUNCT
ejpam-3980	383	11	2017	2017	NUM
ejpam-3980	383	12	.	.	PUNCT
ejpam-3980	384	1	[	[	X
ejpam-3980	384	2	27	27	NUM
ejpam-3980	384	3	]	]	X
ejpam-3980	384	4	s.	s.	PROPN
ejpam-3980	384	5	roy	roy	PROPN
ejpam-3980	384	6	and	and	CCONJ
ejpam-3980	384	7	t.k	t.k	PROPN
ejpam-3980	384	8	.	.	PROPN
ejpam-3980	384	9	samanta	samanta	PROPN
ejpam-3980	384	10	.	.	PUNCT
ejpam-3980	385	1	a	a	DET
ejpam-3980	385	2	note	note	NOUN
ejpam-3980	385	3	on	on	ADP
ejpam-3980	385	4	fuzzy	fuzzy	ADJ
ejpam-3980	385	5	soft	soft	ADJ
ejpam-3980	385	6	topological	topological	ADJ
ejpam-3980	385	7	spaces	space	NOUN
ejpam-3980	385	8	.	.	PUNCT
ejpam-3980	386	1	annals	annal	NOUN
ejpam-3980	386	2	of	of	ADP
ejpam-3980	386	3	fuzzy	fuzzy	ADJ
ejpam-3980	386	4	mathematics	mathematic	NOUN
ejpam-3980	386	5	and	and	CCONJ
ejpam-3980	386	6	informatics	informatic	NOUN
ejpam-3980	386	7	,	,	PUNCT
ejpam-3980	386	8	3(2):305–311	3(2):305–311	NUM
ejpam-3980	386	9	,	,	PUNCT
ejpam-3980	386	10	2012	2012	NUM
ejpam-3980	386	11	.	.	PUNCT
ejpam-3980	387	1	[	[	X
ejpam-3980	387	2	28	28	NUM
ejpam-3980	387	3	]	]	X
ejpam-3980	387	4	g.	g.	PROPN
ejpam-3980	387	5	yildizdan	yildizdan	PROPN
ejpam-3980	387	6	s.	s.	PROPN
ejpam-3980	387	7	yüksel	yüksel	PROPN
ejpam-3980	387	8	,	,	PUNCT
ejpam-3980	387	9	t.	t.	NOUN
ejpam-3980	387	10	dizman	dizman	NOUN
ejpam-3980	387	11	and	and	CCONJ
ejpam-3980	387	12	u.	u.	PROPN
ejpam-3980	387	13	sert	sert	PROPN
ejpam-3980	387	14	.	.	PUNCT
ejpam-3980	388	1	application	application	NOUN
ejpam-3980	388	2	of	of	ADP
ejpam-3980	388	3	soft	soft	ADJ
ejpam-3980	388	4	sets	set	NOUN
ejpam-3980	388	5	to	to	PART
ejpam-3980	388	6	diagnose	diagnose	VERB
ejpam-3980	388	7	the	the	DET
ejpam-3980	388	8	prostate	prostate	NOUN
ejpam-3980	388	9	cancer	cancer	NOUN
ejpam-3980	388	10	risk	risk	NOUN
ejpam-3980	388	11	.	.	PUNCT
ejpam-3980	389	1	journal	journal	NOUN
ejpam-3980	389	2	of	of	ADP
ejpam-3980	389	3	inequalities	inequality	NOUN
ejpam-3980	389	4	and	and	CCONJ
ejpam-3980	389	5	applications	application	NOUN
ejpam-3980	389	6	,	,	PUNCT
ejpam-3980	389	7	2013:2013–229	2013:2013–229	PRON
ejpam-3980	389	8	,	,	PUNCT
ejpam-3980	389	9	2013	2013	NUM
ejpam-3980	389	10	.	.	PUNCT
ejpam-3980	390	1	[	[	X
ejpam-3980	390	2	29	29	NUM
ejpam-3980	390	3	]	]	X
ejpam-3980	390	4	a.f	a.f	PROPN
ejpam-3980	390	5	.	.	PROPN
ejpam-3980	390	6	sayed	say	VERB
ejpam-3980	390	7	.	.	PUNCT
ejpam-3980	391	1	some	some	DET
ejpam-3980	391	2	separation	separation	NOUN
ejpam-3980	391	3	axioms	axiom	VERB
ejpam-3980	391	4	in	in	ADP
ejpam-3980	391	5	fuzzy	fuzzy	ADJ
ejpam-3980	391	6	soft	soft	ADJ
ejpam-3980	391	7	bitopological	bitopological	ADJ
ejpam-3980	391	8	spaces	space	NOUN
ejpam-3980	391	9	.	.	PUNCT
ejpam-3980	392	1	j.	j.	PROPN
ejpam-3980	392	2	math	math	PROPN
ejpam-3980	392	3	.	.	PUNCT
ejpam-3980	393	1	comput	comput	NOUN
ejpam-3980	393	2	.	.	PUNCT
ejpam-3980	394	1	sci	sci	PROPN
ejpam-3980	394	2	.	.	PROPN
ejpam-3980	394	3	,	,	PUNCT
ejpam-3980	394	4	8(1):28–45	8(1):28–45	NUM
ejpam-3980	394	5	,	,	PUNCT
ejpam-3980	394	6	2018	2018	NUM
ejpam-3980	394	7	.	.	PUNCT
ejpam-3980	395	1	[	[	X
ejpam-3980	395	2	30	30	NUM
ejpam-3980	395	3	]	]	X
ejpam-3980	395	4	a.f	a.f	PROPN
ejpam-3980	395	5	.	.	PROPN
ejpam-3980	395	6	sayed	say	VERB
ejpam-3980	395	7	.	.	PUNCT
ejpam-3980	396	1	on	on	ADP
ejpam-3980	396	2	fuzzy	fuzzy	ADJ
ejpam-3980	396	3	soft	soft	ADJ
ejpam-3980	396	4	b	b	NOUN
ejpam-3980	396	5	-	-	PUNCT
ejpam-3980	396	6	open	open	ADJ
ejpam-3980	396	7	sets	set	NOUN
ejpam-3980	396	8	in	in	ADP
ejpam-3980	396	9	fuzzy	fuzzy	ADJ
ejpam-3980	396	10	soft	soft	ADJ
ejpam-3980	396	11	bitopological	bitopological	ADJ
ejpam-3980	396	12	space	space	NOUN
ejpam-3980	396	13	.	.	PUNCT
ejpam-3980	397	1	journal	journal	PROPN
ejpam-3980	397	2	of	of	ADP
ejpam-3980	397	3	mathematics	mathematics	PROPN
ejpam-3980	397	4	and	and	CCONJ
ejpam-3980	397	5	computer	computer	NOUN
ejpam-3980	397	6	science	science	NOUN
ejpam-3980	397	7	,	,	PUNCT
ejpam-3980	397	8	21:31–44	21:31–44	NUM
ejpam-3980	397	9	,	,	PUNCT
ejpam-3980	397	10	2020	2020	NUM
ejpam-3980	397	11	.	.	PUNCT
ejpam-3980	398	1	[	[	X
ejpam-3980	398	2	31	31	NUM
ejpam-3980	398	3	]	]	X
ejpam-3980	398	4	a.f	a.f	PROPN
ejpam-3980	398	5	.	.	PROPN
ejpam-3980	398	6	sayed	say	VERB
ejpam-3980	398	7	.	.	PUNCT
ejpam-3980	399	1	on	on	ADP
ejpam-3980	399	2	(	(	PUNCT
ejpam-3980	399	3	1	1	NUM
ejpam-3980	399	4	,	,	PUNCT
ejpam-3980	399	5	2)∗-fuzzy	2)∗-fuzzy	NUM
ejpam-3980	399	6	soft	soft	ADJ
ejpam-3980	399	7	b	b	NOUN
ejpam-3980	399	8	-	-	PUNCT
ejpam-3980	399	9	continuity	continuity	NOUN
ejpam-3980	399	10	in	in	ADP
ejpam-3980	399	11	fuzzy	fuzzy	ADJ
ejpam-3980	399	12	soft	soft	ADJ
ejpam-3980	399	13	bitopological	bitopological	ADJ
ejpam-3980	399	14	spaces	space	NOUN
ejpam-3980	399	15	.	.	PUNCT
ejpam-3980	399	16	soft	soft	ADJ
ejpam-3980	399	17	computing	computing	NOUN
ejpam-3980	399	18	,	,	PUNCT
ejpam-3980	399	19	2021	2021	NUM
ejpam-3980	399	20	.	.	PUNCT
ejpam-3980	400	1	[	[	X
ejpam-3980	400	2	32	32	NUM
ejpam-3980	400	3	]	]	PUNCT
ejpam-3980	400	4	m.	m.	NOUN
ejpam-3980	400	5	shabir	shabir	PROPN
ejpam-3980	400	6	and	and	CCONJ
ejpam-3980	400	7	m.	m.	PROPN
ejpam-3980	400	8	naz	naz	PROPN
ejpam-3980	400	9	.	.	PUNCT
ejpam-3980	401	1	on	on	ADP
ejpam-3980	401	2	soft	soft	ADJ
ejpam-3980	401	3	topological	topological	ADJ
ejpam-3980	401	4	spaces	space	NOUN
ejpam-3980	401	5	.	.	PUNCT
ejpam-3980	402	1	comput	comput	NOUN
ejpam-3980	402	2	.	.	PUNCT
ejpam-3980	403	1	math	math	NOUN
ejpam-3980	403	2	.	.	PUNCT
ejpam-3980	404	1	appl	appl	PROPN
ejpam-3980	404	2	.	.	PROPN
ejpam-3980	404	3	,	,	PUNCT
ejpam-3980	404	4	61:1786	61:1786	X
ejpam-3980	404	5	–	–	PUNCT
ejpam-3980	404	6	1799	1799	NUM
ejpam-3980	404	7	,	,	PUNCT
ejpam-3980	404	8	2011	2011	NUM
ejpam-3980	404	9	.	.	PUNCT
ejpam-3980	405	1	[	[	X
ejpam-3980	405	2	33	33	NUM
ejpam-3980	405	3	]	]	PUNCT
ejpam-3980	405	4	n.	n.	NOUN
ejpam-3980	405	5	taş.	taş.	NOUN
ejpam-3980	405	6	on	on	ADP
ejpam-3980	405	7	the	the	DET
ejpam-3980	405	8	pasting	pasting	NOUN
ejpam-3980	405	9	lemma	lemma	PROPN
ejpam-3980	405	10	on	on	ADP
ejpam-3980	405	11	a	a	DET
ejpam-3980	405	12	fuzzy	fuzzy	ADJ
ejpam-3980	405	13	soft	soft	ADJ
ejpam-3980	405	14	topological	topological	ADJ
ejpam-3980	405	15	space	space	NOUN
ejpam-3980	405	16	with	with	ADP
ejpam-3980	405	17	mixed	mixed	ADJ
ejpam-3980	405	18	structure	structure	NOUN
ejpam-3980	405	19	.	.	PUNCT
ejpam-3980	406	1	mathematical	mathematical	ADJ
ejpam-3980	406	2	sciences	science	NOUN
ejpam-3980	406	3	and	and	CCONJ
ejpam-3980	406	4	applications	application	NOUN
ejpam-3980	406	5	e	e	NOUN
ejpam-3980	406	6	-	-	NOUN
ejpam-3980	406	7	notes	note	NOUN
ejpam-3980	406	8	,	,	PUNCT
ejpam-3980	406	9	8(2):15–20	8(2):15–20	NUM
ejpam-3980	406	10	,	,	PUNCT
ejpam-3980	406	11	2020	2020	NUM
ejpam-3980	406	12	.	.	PUNCT
ejpam-3980	407	1	references	reference	NOUN
ejpam-3980	407	2	772	772	NUM
ejpam-3980	407	3	[	[	X
ejpam-3980	407	4	34	34	NUM
ejpam-3980	407	5	]	]	X
ejpam-3980	407	6	n.	n.	NOUN
ejpam-3980	407	7	taş	taş	NOUN
ejpam-3980	407	8	and	and	CCONJ
ejpam-3980	407	9	a.	a.	NOUN
ejpam-3980	407	10	açıkgöz	açıkgöz	NOUN
ejpam-3980	407	11	.	.	PUNCT
ejpam-3980	408	1	some	some	DET
ejpam-3980	408	2	mixed	mixed	ADJ
ejpam-3980	408	3	soft	soft	ADJ
ejpam-3980	408	4	operations	operation	NOUN
ejpam-3980	408	5	and	and	CCONJ
ejpam-3980	408	6	extremally	extremally	ADV
ejpam-3980	408	7	soft	soft	ADJ
ejpam-3980	408	8	disconnectedness	disconnectedness	NOUN
ejpam-3980	408	9	via	via	ADP
ejpam-3980	408	10	two	two	NUM
ejpam-3980	408	11	soft	soft	ADJ
ejpam-3980	408	12	topologies	topology	NOUN
ejpam-3980	408	13	.	.	PUNCT
ejpam-3980	409	1	applied	apply	VERB
ejpam-3980	409	2	mathematical	mathematical	ADJ
ejpam-3980	409	3	sciences	science	NOUN
ejpam-3980	409	4	,	,	PUNCT
ejpam-3980	409	5	5:490–500	5:490–500	NUM
ejpam-3980	409	6	,	,	PUNCT
ejpam-3980	409	7	2014	2014	NUM
ejpam-3980	409	8	.	.	PUNCT
ejpam-3980	410	1	[	[	X
ejpam-3980	410	2	35	35	NUM
ejpam-3980	410	3	]	]	X
ejpam-3980	410	4	b.	b.	PROPN
ejpam-3980	410	5	tanay	tanay	PROPN
ejpam-3980	410	6	and	and	CCONJ
ejpam-3980	410	7	m.b	m.b	PROPN
ejpam-3980	410	8	.	.	PROPN
ejpam-3980	410	9	kandemir	kandemir	PROPN
ejpam-3980	410	10	.	.	PUNCT
ejpam-3980	411	1	topological	topological	ADJ
ejpam-3980	411	2	structure	structure	NOUN
ejpam-3980	411	3	of	of	ADP
ejpam-3980	411	4	fuzzy	fuzzy	ADJ
ejpam-3980	411	5	soft	soft	ADJ
ejpam-3980	411	6	sets	set	NOUN
ejpam-3980	411	7	.	.	PUNCT
ejpam-3980	412	1	computers	computer	NOUN
ejpam-3980	412	2	and	and	CCONJ
ejpam-3980	412	3	mathematics	mathematic	NOUN
ejpam-3980	412	4	with	with	ADP
ejpam-3980	412	5	applications	application	NOUN
ejpam-3980	412	6	,	,	PUNCT
ejpam-3980	412	7	61(10):2952–2957	61(10):2952–2957	NOUN
ejpam-3980	412	8	,	,	PUNCT
ejpam-3980	412	9	2011	2011	NUM
ejpam-3980	412	10	.	.	PUNCT
ejpam-3980	413	1	[	[	X
ejpam-3980	413	2	36	36	NUM
ejpam-3980	413	3	]	]	X
ejpam-3980	413	4	l.a	l.a	PROPN
ejpam-3980	413	5	.	.	PROPN
ejpam-3980	413	6	zadeh	zadeh	PROPN
ejpam-3980	413	7	.	.	PUNCT
ejpam-3980	413	8	fuzzy	fuzzy	ADJ
ejpam-3980	413	9	sets	set	NOUN
ejpam-3980	413	10	.	.	PUNCT
ejpam-3980	414	1	information	information	NOUN
ejpam-3980	414	2	and	and	CCONJ
ejpam-3980	414	3	control	control	NOUN
ejpam-3980	414	4	,	,	PUNCT
ejpam-3980	414	5	8:338–353	8:338–353	NUM
ejpam-3980	414	6	,	,	PUNCT
ejpam-3980	414	7	1965	1965	NUM
ejpam-3980	414	8	.	.	PUNCT