id	sid	tid	token	lemma	pos
cana-1731	1	1	communications	communication	NOUN
cana-1731	1	2	on	on	ADP
cana-1731	1	3	applied	apply	VERB
cana-1731	1	4	nonlinear	nonlinear	ADJ
cana-1731	1	5	analysis	analysis	NOUN
cana-1731	1	6	issn	issn	NOUN
cana-1731	1	7	:	:	PUNCT
cana-1731	1	8	1074	1074	NUM
cana-1731	1	9	-	-	PUNCT
cana-1731	1	10	133x	133x	NUM
cana-1731	1	11	vol	vol	NOUN
cana-1731	1	12	32	32	NUM
cana-1731	1	13	no	no	NOUN
cana-1731	1	14	.	.	NOUN
cana-1731	1	15	2	2	NUM
cana-1731	1	16	(	(	PUNCT
cana-1731	1	17	2025	2025	NUM
cana-1731	1	18	)	)	PUNCT
cana-1731	1	19	167	167	NUM
cana-1731	1	20	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1731	1	21	generalized	generalized	ADJ
cana-1731	1	22	pre	pre	ADJ
cana-1731	1	23	-	-	ADJ
cana-1731	1	24	semi	semi	ADJ
cana-1731	1	25	homeomorphisms	homeomorphism	NOUN
cana-1731	1	26	in	in	ADP
cana-1731	1	27	intuitionistic	intuitionistic	ADJ
cana-1731	1	28	fuzzy	fuzzy	ADJ
cana-1731	1	29	topological	topological	ADJ
cana-1731	1	30	spaces	space	NOUN
cana-1731	1	31	r.	r.	PROPN
cana-1731	1	32	revathy1	revathy1	PROPN
cana-1731	1	33	,	,	PUNCT
cana-1731	1	34	p.	p.	NOUN
cana-1731	1	35	thirunavukarasu2	thirunavukarasu2	NOUN
cana-1731	2	1	1part	1part	NUM
cana-1731	2	2	time	time	NOUN
cana-1731	2	3	research	research	NOUN
cana-1731	2	4	scholar	scholar	NOUN
cana-1731	2	5	,	,	PUNCT
cana-1731	2	6	pg	pg	PROPN
cana-1731	2	7	&	&	CCONJ
cana-1731	2	8	research	research	PROPN
cana-1731	2	9	,	,	PUNCT
cana-1731	2	10	department	department	NOUN
cana-1731	2	11	of	of	ADP
cana-1731	2	12	mathematics	mathematic	NOUN
cana-1731	2	13	,	,	PUNCT
cana-1731	2	14	thanthai	thanthai	VERB
cana-1731	2	15	periyar	periyar	NOUN
cana-1731	2	16	government	government	NOUN
cana-1731	2	17	arts	arts	PROPN
cana-1731	2	18	&	&	CCONJ
cana-1731	2	19	science	science	PROPN
cana-1731	2	20	college	college	PROPN
cana-1731	2	21	,	,	PUNCT
cana-1731	2	22	thiruchirapalli	thiruchirapalli	PROPN
cana-1731	2	23	,	,	PUNCT
cana-1731	2	24	tamil	tamil	PROPN
cana-1731	2	25	nadu	nadu	PROPN
cana-1731	2	26	,	,	PUNCT
cana-1731	2	27	india	india	PROPN
cana-1731	2	28	(	(	PUNCT
cana-1731	2	29	affiliated	affiliate	VERB
cana-1731	2	30	to	to	PART
cana-1731	2	31	bharathidasan	bharathidasan	VERB
cana-1731	2	32	university	university	NOUN
cana-1731	2	33	)	)	PUNCT
cana-1731	2	34	e-mail:rrevathy085@gmail.com	e-mail:rrevathy085@gmail.com	X
cana-1731	3	1	2assistant	2assistant	NUM
cana-1731	3	2	professor	professor	NOUN
cana-1731	3	3	,	,	PUNCT
cana-1731	3	4	pg	pg	PROPN
cana-1731	3	5	&	&	CCONJ
cana-1731	3	6	research	research	PROPN
cana-1731	3	7	department	department	PROPN
cana-1731	3	8	of	of	ADP
cana-1731	3	9	mathematics	mathematic	NOUN
cana-1731	3	10	,	,	PUNCT
cana-1731	3	11	thanthai	thanthai	VERB
cana-1731	3	12	periyar	periyar	NOUN
cana-1731	3	13	government	government	NOUN
cana-1731	3	14	arts	arts	PROPN
cana-1731	3	15	&	&	CCONJ
cana-1731	3	16	science	science	PROPN
cana-1731	3	17	college	college	PROPN
cana-1731	3	18	,	,	PUNCT
cana-1731	3	19	thiruchirapalli	thiruchirapalli	PROPN
cana-1731	3	20	,	,	PUNCT
cana-1731	3	21	tamil	tamil	PROPN
cana-1731	3	22	nadu	nadu	PROPN
cana-1731	3	23	,	,	PUNCT
cana-1731	3	24	india	india	PROPN
cana-1731	3	25	.	.	PUNCT
cana-1731	4	1	(	(	PUNCT
cana-1731	4	2	affiliated	affiliate	VERB
cana-1731	4	3	to	to	PART
cana-1731	4	4	bharathidasan	bharathidasan	VERB
cana-1731	4	5	university	university	NOUN
cana-1731	4	6	)	)	PUNCT
cana-1731	4	7	email	email	NOUN
cana-1731	4	8	:	:	PUNCT
cana-1731	4	9	ptavinash1967@gmail.com	ptavinash1967@gmail.com	NOUN
cana-1731	4	10	article	article	NOUN
cana-1731	4	11	history	history	NOUN
cana-1731	4	12	:	:	PUNCT
cana-1731	4	13	received	receive	VERB
cana-1731	4	14	:	:	PUNCT
cana-1731	4	15	28	28	NUM
cana-1731	4	16	-	-	SYM
cana-1731	4	17	07	07	NUM
cana-1731	4	18	-	-	PUNCT
cana-1731	4	19	2024	2024	NUM
cana-1731	4	20	revised	revise	VERB
cana-1731	4	21	:	:	PUNCT
cana-1731	4	22	09	09	NUM
cana-1731	4	23	-	-	SYM
cana-1731	4	24	09	09	NUM
cana-1731	4	25	-	-	PUNCT
cana-1731	4	26	2024	2024	NUM
cana-1731	4	27	accepted	accept	VERB
cana-1731	4	28	:	:	PUNCT
cana-1731	4	29	17	17	NUM
cana-1731	4	30	-	-	SYM
cana-1731	4	31	09	09	NUM
cana-1731	4	32	-	-	PUNCT
cana-1731	4	33	2024	2024	NUM
cana-1731	4	34	abstract	abstract	NOUN
cana-1731	4	35	:	:	PUNCT
cana-1731	4	36	this	this	DET
cana-1731	4	37	article	article	NOUN
cana-1731	4	38	presents	present	VERB
cana-1731	4	39	a	a	DET
cana-1731	4	40	novel	novel	ADJ
cana-1731	4	41	concept	concept	NOUN
cana-1731	4	42	:	:	PUNCT
cana-1731	4	43	generalized	generalize	VERB
cana-1731	4	44	intuitionistic	intuitionistic	ADJ
cana-1731	4	45	fuzzy	fuzzy	ADJ
cana-1731	4	46	prehomeomorphisms	prehomeomorphism	NOUN
cana-1731	4	47	.	.	PUNCT
cana-1731	5	1	we	we	PRON
cana-1731	5	2	delve	delve	VERB
cana-1731	5	3	into	into	ADP
cana-1731	5	4	exploring	explore	VERB
cana-1731	5	5	several	several	ADJ
cana-1731	5	6	of	of	ADP
cana-1731	5	7	their	their	PRON
cana-1731	5	8	defining	define	VERB
cana-1731	5	9	traits	trait	NOUN
cana-1731	5	10	and	and	CCONJ
cana-1731	5	11	characteristics	characteristic	NOUN
cana-1731	5	12	.	.	PUNCT
cana-1731	6	1	keywords	keyword	NOUN
cana-1731	6	2	:	:	PUNCT
cana-1731	6	3	intuitionistic	intuitionistic	ADJ
cana-1731	6	4	fuzzy	fuzzy	ADJ
cana-1731	6	5	topology	topology	NOUN
cana-1731	6	6	,	,	PUNCT
cana-1731	6	7	intuitionistic	intuitionistic	ADJ
cana-1731	6	8	fuzzy	fuzzy	ADJ
cana-1731	6	9	generalized	generalized	ADJ
cana-1731	6	10	pre	pre	ADJ
cana-1731	6	11	-	-	ADJ
cana-1731	6	12	semi	semi	ADJ
cana-1731	6	13	closed	closed	ADJ
cana-1731	6	14	set	set	VERB
cana-1731	6	15	,	,	PUNCT
cana-1731	6	16	intuitionistic	intuitionistic	ADJ
cana-1731	6	17	fuzzy	fuzzy	ADJ
cana-1731	6	18	generalized	generalized	ADJ
cana-1731	6	19	pre	pre	ADJ
cana-1731	6	20	-	-	ADJ
cana-1731	6	21	semi	semi	ADJ
cana-1731	6	22	homeomorphism	homeomorphism	NOUN
cana-1731	6	23	.	.	PUNCT
cana-1731	7	1	1	1	X
cana-1731	7	2	.	.	X
cana-1731	7	3	introduction	introduction	NOUN
cana-1731	7	4	on	on	ADP
cana-1731	7	5	encountering	encounter	VERB
cana-1731	7	6	ambiguity	ambiguity	NOUN
cana-1731	7	7	,	,	PUNCT
cana-1731	7	8	vagueness	vagueness	NOUN
cana-1731	7	9	,	,	PUNCT
cana-1731	7	10	and	and	CCONJ
cana-1731	7	11	partial	partial	ADJ
cana-1731	7	12	truth	truth	NOUN
cana-1731	7	13	,	,	PUNCT
cana-1731	7	14	zadeh	zadeh	PROPN
cana-1731	8	1	[	[	X
cana-1731	8	2	14	14	NUM
cana-1731	8	3	]	]	PUNCT
cana-1731	8	4	proposed	propose	VERB
cana-1731	8	5	the	the	DET
cana-1731	8	6	fuzzy	fuzzy	ADJ
cana-1731	8	7	set	set	NOUN
cana-1731	8	8	.	.	PUNCT
cana-1731	9	1	this	this	DET
cana-1731	9	2	quantifies	quantify	VERB
cana-1731	9	3	the	the	DET
cana-1731	9	4	degree	degree	NOUN
cana-1731	9	5	to	to	PART
cana-1731	9	6	which	which	PRON
cana-1731	9	7	every	every	DET
cana-1731	9	8	element	element	NOUN
cana-1731	9	9	within	within	ADP
cana-1731	9	10	universe	universe	NOUN
cana-1731	9	11	of	of	ADP
cana-1731	9	12	discourse	discourse	NOUN
cana-1731	9	13	belongs	belong	VERB
cana-1731	9	14	towards	towards	ADP
cana-1731	9	15	particular	particular	ADJ
cana-1731	9	16	subset	subset	NOUN
cana-1731	9	17	within	within	ADP
cana-1731	9	18	fuzzy	fuzzy	ADJ
cana-1731	9	19	set	set	NOUN
cana-1731	9	20	.	.	PUNCT
cana-1731	10	1	eventually	eventually	ADV
cana-1731	10	2	,	,	PUNCT
cana-1731	10	3	[	[	X
cana-1731	10	4	3	3	X
cana-1731	10	5	]	]	X
cana-1731	10	6	chang	chang	PROPN
cana-1731	10	7	created	create	VERB
cana-1731	10	8	fuzzy	fuzzy	ADJ
cana-1731	10	9	topology	topology	NOUN
cana-1731	10	10	in	in	ADP
cana-1731	10	11	1967	1967	NUM
cana-1731	10	12	.	.	PUNCT
cana-1731	11	1	[	[	X
cana-1731	11	2	1	1	X
cana-1731	11	3	]	]	PUNCT
cana-1731	11	4	atanassov	atanassov	NOUN
cana-1731	11	5	formulated	formulated	ADJ
cana-1731	11	6	concept	concept	NOUN
cana-1731	11	7	of	of	ADP
cana-1731	11	8	intuitionistic	intuitionistic	ADJ
cana-1731	11	9	fuzzy	fuzzy	ADJ
cana-1731	11	10	sets	set	NOUN
cana-1731	11	11	(	(	PUNCT
cana-1731	11	12	if	if	SCONJ
cana-1731	11	13	sets	set	NOUN
cana-1731	11	14	)	)	PUNCT
cana-1731	11	15	,	,	PUNCT
cana-1731	11	16	which	which	PRON
cana-1731	11	17	offer	offer	VERB
cana-1731	11	18	a	a	DET
cana-1731	11	19	more	more	ADV
cana-1731	11	20	detailed	detailed	ADJ
cana-1731	11	21	approach	approach	NOUN
cana-1731	11	22	to	to	ADP
cana-1731	11	23	uncertainty	uncertainty	NOUN
cana-1731	11	24	quantification	quantification	NOUN
cana-1731	11	25	.	.	PUNCT
cana-1731	12	1	this	this	DET
cana-1731	12	2	framework	framework	NOUN
cana-1731	12	3	allows	allow	VERB
cana-1731	12	4	for	for	ADP
cana-1731	12	5	a	a	DET
cana-1731	12	6	more	more	ADV
cana-1731	12	7	precise	precise	ADJ
cana-1731	12	8	description	description	NOUN
cana-1731	12	9	of	of	ADP
cana-1731	12	10	problems	problem	NOUN
cana-1731	12	11	by	by	ADP
cana-1731	12	12	utilizing	utilize	VERB
cana-1731	12	13	existing	exist	VERB
cana-1731	12	14	information	information	NOUN
cana-1731	12	15	and	and	CCONJ
cana-1731	12	16	observations	observation	NOUN
cana-1731	12	17	.	.	PUNCT
cana-1731	13	1	ifs	ifs	PROPN
cana-1731	13	2	adds	add	VERB
cana-1731	13	3	the	the	DET
cana-1731	13	4	degree	degree	NOUN
cana-1731	13	5	of	of	ADP
cana-1731	13	6	non	non	ADJ
cana-1731	13	7	-	-	NOUN
cana-1731	13	8	membership	membership	NOUN
cana-1731	13	9	to	to	PART
cana-1731	13	10	fs	fs	PROPN
cana-1731	13	11	.	.	PUNCT
cana-1731	14	1	there	there	PRON
cana-1731	14	2	have	have	AUX
cana-1731	14	3	since	since	ADV
cana-1731	14	4	been	be	AUX
cana-1731	14	5	a	a	DET
cana-1731	14	6	number	number	NOUN
cana-1731	14	7	of	of	ADP
cana-1731	14	8	generalisations	generalisation	NOUN
cana-1731	14	9	of	of	ADP
cana-1731	14	10	the	the	DET
cana-1731	14	11	ideas	idea	NOUN
cana-1731	14	12	behind	behind	ADP
cana-1731	14	13	fuzzy	fuzzy	ADJ
cana-1731	14	14	sets	set	NOUN
cana-1731	14	15	and	and	CCONJ
cana-1731	14	16	fuzzy	fuzzy	ADJ
cana-1731	14	17	topology	topology	NOUN
cana-1731	14	18	.	.	PUNCT
cana-1731	15	1	many	many	ADJ
cana-1731	15	2	fuzzy	fuzzy	ADJ
cana-1731	15	3	notions	notion	NOUN
cana-1731	15	4	have	have	AUX
cana-1731	15	5	recently	recently	ADV
cana-1731	15	6	been	be	AUX
cana-1731	15	7	used	use	VERB
cana-1731	15	8	to	to	PART
cana-1731	15	9	intuitionistic	intuitionistic	ADJ
cana-1731	15	10	fuzzy	fuzzy	ADJ
cana-1731	15	11	sets	set	NOUN
cana-1731	15	12	.	.	PUNCT
cana-1731	16	1	when	when	SCONJ
cana-1731	16	2	utilizing	utilize	VERB
cana-1731	16	3	idea	idea	NOUN
cana-1731	16	4	of	of	ADP
cana-1731	16	5	intuitionistic	intuitionistic	ADJ
cana-1731	16	6	fuzzy	fuzzy	ADJ
cana-1731	16	7	sets	set	NOUN
cana-1731	16	8	,	,	PUNCT
cana-1731	16	9	coker	coker	NOUN
cana-1731	16	10	[	[	X
cana-1731	16	11	3	3	NUM
cana-1731	16	12	]	]	PUNCT
cana-1731	16	13	established	establish	VERB
cana-1731	16	14	intuitionistic	intuitionistic	ADJ
cana-1731	16	15	fuzzy	fuzzy	ADJ
cana-1731	16	16	topological	topological	ADJ
cana-1731	16	17	spaces	space	NOUN
cana-1731	16	18	.	.	PUNCT
cana-1731	17	1	moreover	moreover	ADV
cana-1731	17	2	,	,	PUNCT
cana-1731	17	3	dogan	dogan	PROPN
cana-1731	17	4	coker	coker	PROPN
cana-1731	17	5	and	and	CCONJ
cana-1731	17	6	selma	selma	PROPN
cana-1731	17	7	ozcag	ozcag	VERB
cana-1731	18	1	[	[	X
cana-1731	18	2	16	16	NUM
cana-1731	18	3	,	,	PUNCT
cana-1731	18	4	3	3	NUM
cana-1731	18	5	]	]	PUNCT
cana-1731	18	6	looked	look	VERB
cana-1731	18	7	at	at	ADP
cana-1731	18	8	connectedness	connectedness	NOUN
cana-1731	18	9	in	in	ADP
cana-1731	18	10	intuitionistic	intuitionistic	ADJ
cana-1731	18	11	topological	topological	ADJ
cana-1731	18	12	spaces	space	NOUN
cana-1731	18	13	.	.	PUNCT
cana-1731	19	1	that	that	DET
cana-1731	19	2	feeble	feeble	ADJ
cana-1731	19	3	type	type	NOUN
cana-1731	19	4	of	of	ADP
cana-1731	19	5	intuitionistic	intuitionistic	ADJ
cana-1731	19	6	topological	topological	ADJ
cana-1731	19	7	spaces	space	NOUN
cana-1731	19	8	was	be	AUX
cana-1731	19	9	later	later	ADV
cana-1731	19	10	as	as	ADP
cana-1731	19	11	research	research	NOUN
cana-1731	19	12	ideas	idea	NOUN
cana-1731	19	13	by	by	ADP
cana-1731	19	14	various	various	ADJ
cana-1731	19	15	scientists	scientist	NOUN
cana-1731	19	16	[	[	X
cana-1731	19	17	10	10	NUM
cana-1731	19	18	]	]	PUNCT
cana-1731	19	19	.	.	PUNCT
cana-1731	20	1	the	the	DET
cana-1731	20	2	focus	focus	NOUN
cana-1731	20	3	of	of	ADP
cana-1731	20	4	this	this	DET
cana-1731	20	5	paper	paper	NOUN
cana-1731	20	6	is	be	AUX
cana-1731	20	7	a	a	DET
cana-1731	20	8	generalised	generalise	VERB
cana-1731	20	9	intuitionistic	intuitionistic	ADJ
cana-1731	20	10	fuzzy	fuzzy	ADJ
cana-1731	20	11	pre	pre	NOUN
cana-1731	20	12	-	-	NOUN
cana-1731	20	13	homeomorphisms	homeomorphisms	X
cana-1731	20	14	.	.	PUNCT
cana-1731	21	1	we	we	PRON
cana-1731	21	2	look	look	VERB
cana-1731	21	3	into	into	ADP
cana-1731	21	4	some	some	PRON
cana-1731	21	5	of	of	ADP
cana-1731	21	6	their	their	PRON
cana-1731	21	7	characteristics	characteristic	NOUN
cana-1731	21	8	.	.	PUNCT
cana-1731	22	1	we	we	PRON
cana-1731	22	2	also	also	ADV
cana-1731	22	3	show	show	VERB
cana-1731	22	4	how	how	SCONJ
cana-1731	22	5	different	different	ADJ
cana-1731	22	6	homeomorphisms	homeomorphism	NOUN
cana-1731	22	7	relate	relate	VERB
cana-1731	22	8	to	to	ADP
cana-1731	22	9	one	one	NUM
cana-1731	22	10	another	another	DET
cana-1731	22	11	.	.	PUNCT
cana-1731	23	1	preliminaries	preliminary	NOUN
cana-1731	23	2	definition	definition	NOUN
cana-1731	23	3	1	1	NUM
cana-1731	23	4	:	:	PUNCT
cana-1731	24	1	[	[	X
cana-1731	24	2	1	1	X
cana-1731	24	3	]	]	X
cana-1731	24	4	if	if	SCONJ
cana-1731	24	5	a	a	PRON
cana-1731	24	6	is	be	AUX
cana-1731	24	7	a	a	DET
cana-1731	24	8	non	non	ADJ
cana-1731	24	9	-	-	ADJ
cana-1731	24	10	empty	empty	ADJ
cana-1731	24	11	static	static	ADJ
cana-1731	24	12	customary	customary	ADJ
cana-1731	24	13	.	.	PUNCT
cana-1731	25	1	intuitionistic	intuitionistic	ADJ
cana-1731	25	2	fuzzy	fuzzy	ADJ
cana-1731	25	3	(	(	PUNCT
cana-1731	25	4	if	if	SCONJ
cana-1731	25	5	)	)	PUNCT
cana-1731	25	6	set	set	VERB
cana-1731	25	7	u	u	PRON
cana-1731	25	8	enclosed	enclose	VERB
cana-1731	25	9	x	x	VERB
cana-1731	25	10	is	be	AUX
cana-1731	25	11	the	the	DET
cana-1731	25	12	item	item	NOUN
cana-1731	25	13	has	have	AUX
cana-1731	25	14	method	method	NOUN
cana-1731	25	15	u	u	NOUN
cana-1731	25	16	=	=	PUNCT
cana-1731	25	17	{	{	PUNCT
cana-1731	25	18	〈	〈	NOUN
cana-1731	25	19	a	a	PRON
cana-1731	25	20	,	,	PUNCT
cana-1731	25	21	µu(a	µu(a	ADJ
cana-1731	25	22	)	)	PUNCT
cana-1731	25	23	,	,	PUNCT
cana-1731	25	24	νu(a)〉/	νu(a)〉/	PROPN
cana-1731	25	25	a	a	DET
cana-1731	25	26	∈	∈	PROPN
cana-1731	25	27	a	a	PRON
cana-1731	25	28	}	}	PUNCT
cana-1731	25	29	somewhere	somewhere	ADV
cana-1731	25	30	the	the	DET
cana-1731	25	31	meanings	meaning	NOUN
cana-1731	25	32	µu	µu	ADP
cana-1731	25	33	:	:	PUNCT
cana-1731	25	34	a	a	PRON
cana-1731	25	35	→	→	X
cana-1731	25	36	[	[	X
cana-1731	25	37	0,1	0,1	NUM
cana-1731	25	38	]	]	PUNCT
cana-1731	25	39	and	and	CCONJ
cana-1731	25	40	νu	νu	X
cana-1731	25	41	:	:	PUNCT
cana-1731	25	42	a	a	DET
cana-1731	25	43	→	→	X
cana-1731	25	44	[	[	X
cana-1731	25	45	0,1	0,1	NUM
cana-1731	25	46	]	]	PUNCT
cana-1731	25	47	symbolize	symbolize	VERB
cana-1731	25	48	the	the	DET
cana-1731	25	49	continuum	continuum	NOUN
cana-1731	25	50	of	of	ADP
cana-1731	25	51	connection	connection	NOUN
cana-1731	25	52	also	also	ADV
cana-1731	25	53	gradation	gradation	NOUN
cana-1731	25	54	involves	involve	VERB
cana-1731	25	55	non	non	ADJ
cana-1731	25	56	-	-	NOUN
cana-1731	25	57	membership	membership	NOUN
cana-1731	25	58	of	of	ADP
cana-1731	25	59	every	every	DET
cana-1731	25	60	communications	communication	NOUN
cana-1731	25	61	on	on	ADP
cana-1731	25	62	applied	apply	VERB
cana-1731	25	63	nonlinear	nonlinear	ADJ
cana-1731	25	64	analysis	analysis	NOUN
cana-1731	25	65	issn	issn	NOUN
cana-1731	25	66	:	:	PUNCT
cana-1731	25	67	1074	1074	NUM
cana-1731	25	68	-	-	PUNCT
cana-1731	25	69	133x	133x	NUM
cana-1731	25	70	vol	vol	NOUN
cana-1731	25	71	32	32	NUM
cana-1731	25	72	no	no	NOUN
cana-1731	25	73	.	.	NOUN
cana-1731	25	74	2	2	NUM
cana-1731	25	75	(	(	PUNCT
cana-1731	25	76	2025	2025	NUM
cana-1731	25	77	)	)	PUNCT
cana-1731	25	78	168	168	NUM
cana-1731	25	79	https://internationalpubls.com	https://internationalpubls.com	X
cana-1731	25	80	section	section	NOUN
cana-1731	25	81	a	a	DET
cana-1731	25	82	∈	∈	PROPN
cana-1731	25	83	a	a	PRON
cana-1731	25	84	to	to	ADP
cana-1731	25	85	the	the	DET
cana-1731	25	86	customary	customary	ADJ
cana-1731	25	87	u	u	NOUN
cana-1731	25	88	,	,	PUNCT
cana-1731	25	89	respectively	respectively	ADV
cana-1731	25	90	,	,	PUNCT
cana-1731	25	91	and	and	CCONJ
cana-1731	25	92	0	0	NUM
cana-1731	25	93	≤	≤	NOUN
cana-1731	25	94	µu(a	µu(a	NOUN
cana-1731	25	95	)	)	PUNCT
cana-1731	26	1	+	+	CCONJ
cana-1731	26	2	νu(a	νu(a	NOUN
cana-1731	26	3	)	)	PUNCT
cana-1731	26	4	≤	≤	NUM
cana-1731	26	5	1	1	NUM
cana-1731	26	6	for	for	ADP
cana-1731	26	7	every	every	DET
cana-1731	26	8	a	a	DET
cana-1731	26	9	∈	∈	PROPN
cana-1731	26	10	a.	a.	NOUN
cana-1731	26	11	symbolize	symbolize	NOUN
cana-1731	26	12	by	by	ADP
cana-1731	26	13	if	if	SCONJ
cana-1731	26	14	set	set	VERB
cana-1731	26	15	(	(	PUNCT
cana-1731	26	16	a	a	NOUN
cana-1731	26	17	)	)	PUNCT
cana-1731	26	18	,	,	PUNCT
cana-1731	26	19	the	the	DET
cana-1731	26	20	customary	customary	ADJ
cana-1731	26	21	of	of	ADP
cana-1731	26	22	all	all	PRON
cana-1731	26	23	if	if	SCONJ
cana-1731	26	24	sets	set	NOUN
cana-1731	26	25	in	in	ADP
cana-1731	26	26	a.	a.	NOUN
cana-1731	26	27	definition	definition	NOUN
cana-1731	26	28	2	2	NUM
cana-1731	26	29	:	:	PUNCT
cana-1731	27	1	[	[	X
cana-1731	27	2	1	1	X
cana-1731	27	3	]	]	X
cana-1731	27	4	if	if	SCONJ
cana-1731	27	5	u	u	PROPN
cana-1731	27	6	and	and	CCONJ
cana-1731	27	7	v	v	NOUN
cana-1731	27	8	be	be	AUX
cana-1731	27	9	if	if	SCONJ
cana-1731	27	10	sets	set	NOUN
cana-1731	27	11	of	of	ADP
cana-1731	27	12	the	the	DET
cana-1731	27	13	procedure	procedure	NOUN
cana-1731	27	14	u	u	NOUN
cana-1731	27	15	=	=	PUNCT
cana-1731	27	16	{	{	PUNCT
cana-1731	27	17	〈	〈	NOUN
cana-1731	27	18	a	a	PRON
cana-1731	27	19	,	,	PUNCT
cana-1731	27	20	µu(a	µu(a	ADJ
cana-1731	27	21	)	)	PUNCT
cana-1731	27	22	,	,	PUNCT
cana-1731	27	23	νu(a)〉/	νu(a)〉/	PROPN
cana-1731	27	24	a	a	DET
cana-1731	27	25	∈	∈	PROPN
cana-1731	27	26	a	a	X
cana-1731	27	27	}	}	PUNCT
cana-1731	27	28	and	and	CCONJ
cana-1731	27	29	v	v	NOUN
cana-1731	27	30	=	=	SYM
cana-1731	27	31	{	{	PUNCT
cana-1731	27	32	〈	〈	NOUN
cana-1731	27	33	a	a	PRON
cana-1731	27	34	,	,	PUNCT
cana-1731	27	35	µv(a	µv(a	NOUN
cana-1731	27	36	)	)	PUNCT
cana-1731	27	37	,	,	PUNCT
cana-1731	27	38	νv(a)〉/	νv(a)〉/	PROPN
cana-1731	27	39	a	a	DET
cana-1731	27	40	∈	∈	PROPN
cana-1731	27	41	a	a	PRON
cana-1731	27	42	}	}	PUNCT
cana-1731	27	43	.	.	PUNCT
cana-1731	28	1	then	then	ADV
cana-1731	28	2	(	(	PUNCT
cana-1731	28	3	i	i	NOUN
cana-1731	28	4	)	)	PUNCT
cana-1731	28	5	u	u	NOUN
cana-1731	28	6	⊆	⊆	PROPN
cana-1731	28	7	v	v	ADP
cana-1731	28	8	iff	iff	PROPN
cana-1731	28	9	µu(a	µu(a	NOUN
cana-1731	28	10	)	)	PUNCT
cana-1731	28	11	≤	≤	NOUN
cana-1731	28	12	µv(x	µv(x	NUM
cana-1731	28	13	)	)	PUNCT
cana-1731	28	14	and	and	CCONJ
cana-1731	28	15	νu(a	νu(a	NOUN
cana-1731	28	16	)	)	PUNCT
cana-1731	28	17	≥	≥	NUM
cana-1731	28	18	νv(a	νv(a	NOUN
cana-1731	28	19	)	)	PUNCT
cana-1731	28	20	for	for	ADP
cana-1731	28	21	all	all	DET
cana-1731	28	22	a	a	DET
cana-1731	28	23	∈	∈	PROPN
cana-1731	28	24	a.	a.	NOUN
cana-1731	28	25	(	(	PUNCT
cana-1731	28	26	ii	ii	NOUN
cana-1731	28	27	)	)	PUNCT
cana-1731	28	28	u	u	NOUN
cana-1731	28	29	=	=	PROPN
cana-1731	28	30	v	v	NUM
cana-1731	28	31	iff	iff	PROPN
cana-1731	28	32	u	u	PROPN
cana-1731	28	33	⊆	⊆	NUM
cana-1731	28	34	v	v	NOUN
cana-1731	28	35	and	and	CCONJ
cana-1731	28	36	v	v	ADP
cana-1731	28	37	⊆	⊆	NUM
cana-1731	28	38	u.	u.	NOUN
cana-1731	28	39	(	(	PUNCT
cana-1731	28	40	iii	iii	NOUN
cana-1731	28	41	)	)	PUNCT
cana-1731	28	42	u	u	NOUN
cana-1731	28	43	c	c	NOUN
cana-1731	28	44	=	=	PUNCT
cana-1731	28	45	{	{	PUNCT
cana-1731	28	46	〈	〈	NOUN
cana-1731	28	47	a	a	PRON
cana-1731	28	48	,	,	PUNCT
cana-1731	28	49	νu(a	νu(a	NOUN
cana-1731	28	50	)	)	PUNCT
cana-1731	28	51	,	,	PUNCT
cana-1731	28	52	µu(a)〉/	µu(a)〉/	ADP
cana-1731	28	53	a	a	DET
cana-1731	28	54	∈	∈	PROPN
cana-1731	28	55	a	a	PRON
cana-1731	28	56	}	}	PUNCT
cana-1731	28	57	.	.	PUNCT
cana-1731	29	1	(	(	PUNCT
cana-1731	29	2	iv	iv	X
cana-1731	29	3	)	)	PUNCT
cana-1731	29	4	u	u	NOUN
cana-1731	29	5	∩	∩	NOUN
cana-1731	29	6	v	v	NOUN
cana-1731	29	7	=	=	PUNCT
cana-1731	29	8	{	{	PUNCT
cana-1731	29	9	〈	〈	NOUN
cana-1731	29	10	a	a	PRON
cana-1731	29	11	,	,	PUNCT
cana-1731	29	12	µu(a	µu(a	ADJ
cana-1731	29	13	)	)	PUNCT
cana-1731	29	14	∧	∧	NOUN
cana-1731	29	15	µv(a	µv(a	NOUN
cana-1731	29	16	)	)	PUNCT
cana-1731	29	17	,	,	PUNCT
cana-1731	29	18	νu(a	νu(a	X
cana-1731	29	19	)	)	PUNCT
cana-1731	29	20	∨	∨	NUM
cana-1731	29	21	νv(a)〉/	νv(a)〉/	PROPN
cana-1731	29	22	a	a	DET
cana-1731	29	23	∈	∈	PROPN
cana-1731	29	24	a	a	PRON
cana-1731	29	25	}	}	PUNCT
cana-1731	29	26	.	.	PUNCT
cana-1731	30	1	(	(	PUNCT
cana-1731	30	2	v	v	NOUN
cana-1731	30	3	)	)	PUNCT
cana-1731	30	4	u	u	NOUN
cana-1731	30	5	∪	∪	NOUN
cana-1731	30	6	v	v	NOUN
cana-1731	30	7	=	=	PUNCT
cana-1731	30	8	{	{	PUNCT
cana-1731	30	9	〈	〈	NOUN
cana-1731	30	10	a	a	PRON
cana-1731	30	11	,	,	PUNCT
cana-1731	30	12	µu(a	µu(a	ADJ
cana-1731	30	13	)	)	PUNCT
cana-1731	30	14	∨	∨	NUM
cana-1731	30	15	µv(a	µv(a	NOUN
cana-1731	30	16	)	)	PUNCT
cana-1731	30	17	,	,	PUNCT
cana-1731	30	18	νu(a	νu(a	NOUN
cana-1731	30	19	)	)	PUNCT
cana-1731	30	20	∧	∧	NOUN
cana-1731	30	21	νv(x)〉/	νv(x)〉/	VERB
cana-1731	30	22	a	a	DET
cana-1731	30	23	∈	∈	PROPN
cana-1731	30	24	a	a	PRON
cana-1731	30	25	}	}	PUNCT
cana-1731	30	26	.	.	PUNCT
cana-1731	31	1	to	to	PART
cana-1731	31	2	keep	keep	VERB
cana-1731	31	3	things	thing	NOUN
cana-1731	31	4	simple	simple	ADJ
cana-1731	31	5	,	,	PUNCT
cana-1731	31	6	we	we	PRON
cana-1731	31	7	'll	will	AUX
cana-1731	31	8	adopt	adopt	VERB
cana-1731	31	9	the	the	DET
cana-1731	31	10	following	follow	VERB
cana-1731	31	11	notation	notation	NOUN
cana-1731	31	12	:	:	PUNCT
cana-1731	31	13	u	u	NOUN
cana-1731	31	14	=	=	PROPN
cana-1731	31	15	〈	〈	PROPN
cana-1731	31	16	a	a	X
cana-1731	31	17	,	,	PUNCT
cana-1731	31	18	µu	µu	PROPN
cana-1731	31	19	,	,	PUNCT
cana-1731	31	20	νu	νu	VERB
cana-1731	31	21	〉	〉	NOUN
cana-1731	31	22	in	in	ADP
cana-1731	31	23	lieu	lieu	NOUN
cana-1731	31	24	of	of	ADP
cana-1731	31	25	u	u	NOUN
cana-1731	31	26	=	=	PUNCT
cana-1731	31	27	{	{	PUNCT
cana-1731	31	28	〈	〈	NOUN
cana-1731	31	29	a	a	PRON
cana-1731	31	30	,	,	PUNCT
cana-1731	31	31	µu(a	µu(a	ADJ
cana-1731	31	32	)	)	PUNCT
cana-1731	31	33	,	,	PUNCT
cana-1731	31	34	νu(a)〉/	νu(a)〉/	PROPN
cana-1731	31	35	a	a	DET
cana-1731	31	36	∈	∈	PROPN
cana-1731	31	37	a	a	DET
cana-1731	31	38	}	}	PUNCT
cana-1731	31	39	.	.	PUNCT
cana-1731	32	1	furthermore	furthermore	ADV
cana-1731	32	2	,	,	PUNCT
cana-1731	32	3	to	to	PART
cana-1731	32	4	maintain	maintain	VERB
cana-1731	32	5	simplicity	simplicity	NOUN
cana-1731	32	6	,	,	PUNCT
cana-1731	32	7	we	we	PRON
cana-1731	32	8	'll	will	AUX
cana-1731	32	9	utilize	utilize	VERB
cana-1731	32	10	the	the	DET
cana-1731	32	11	following	following	ADJ
cana-1731	32	12	notation	notation	NOUN
cana-1731	32	13	:	:	PUNCT
cana-1731	32	14	u	u	NOUN
cana-1731	32	15	=	=	PROPN
cana-1731	32	16	〈	〈	PROPN
cana-1731	32	17	a	a	X
cana-1731	32	18	,	,	PUNCT
cana-1731	32	19	(	(	PUNCT
cana-1731	32	20	µu	µu	PROPN
cana-1731	32	21	,	,	PUNCT
cana-1731	32	22	µv	µv	PROPN
cana-1731	32	23	)	)	PUNCT
cana-1731	32	24	,	,	PUNCT
cana-1731	32	25	(	(	PUNCT
cana-1731	32	26	νu	νu	PROPN
cana-1731	32	27	,	,	PUNCT
cana-1731	32	28	νv	νv	PRON
cana-1731	32	29	)	)	PUNCT
cana-1731	32	30	〉	〉	NOUN
cana-1731	32	31	in	in	ADP
cana-1731	32	32	preference	preference	NOUN
cana-1731	32	33	to	to	ADP
cana-1731	32	34	u	u	NOUN
cana-1731	32	35	=	=	PUNCT
cana-1731	32	36	〈	〈	PROPN
cana-1731	32	37	a	a	X
cana-1731	32	38	,	,	PUNCT
cana-1731	32	39	(	(	PUNCT
cana-1731	32	40	u	u	NOUN
cana-1731	32	41	/	/	SYM
cana-1731	32	42	μu	μu	NOUN
cana-1731	32	43	,	,	PUNCT
cana-1731	32	44	v	v	NOUN
cana-1731	32	45	/	/	SYM
cana-1731	32	46	μv	μv	NOUN
cana-1731	32	47	)	)	PUNCT
cana-1731	32	48	,	,	PUNCT
cana-1731	32	49	(	(	PUNCT
cana-1731	32	50	u	u	NOUN
cana-1731	32	51	/	/	SYM
cana-1731	32	52	νu	νu	PROPN
cana-1731	32	53	,	,	PUNCT
cana-1731	32	54	v	v	NOUN
cana-1731	32	55	/	/	SYM
cana-1731	32	56	νv	νv	PROPN
cana-1731	32	57	)	)	PUNCT
cana-1731	32	58	〉	〉	NOUN
cana-1731	32	59	.	.	PUNCT
cana-1731	33	1	intuitionistic	intuitionistic	ADJ
cana-1731	33	2	fuzzy	fuzzy	ADJ
cana-1731	33	3	sets	set	NOUN
cana-1731	33	4	0~	0~	NOUN
cana-1731	33	5	=	=	SYM
cana-1731	33	6	{	{	PUNCT
cana-1731	33	7	〈	〈	ADV
cana-1731	33	8	a	a	PRON
cana-1731	33	9	,	,	PUNCT
cana-1731	33	10	0	0	NUM
cana-1731	33	11	,	,	PUNCT
cana-1731	33	12	1〉/	1〉/	NUM
cana-1731	33	13	a	a	DET
cana-1731	33	14	∈	∈	PROPN
cana-1731	33	15	a	a	DET
cana-1731	33	16	}	}	PUNCT
cana-1731	33	17	also	also	ADV
cana-1731	33	18	1~	1~	NUM
cana-1731	33	19	=	=	SYM
cana-1731	33	20	{	{	PUNCT
cana-1731	33	21	〈	〈	ADV
cana-1731	33	22	a	a	PRON
cana-1731	33	23	,	,	PUNCT
cana-1731	33	24	1	1	NUM
cana-1731	33	25	,	,	PUNCT
cana-1731	33	26	0〉/	0〉/	NOUN
cana-1731	33	27	a	a	DET
cana-1731	33	28	∈	∈	PROPN
cana-1731	33	29	a	a	DET
cana-1731	33	30	}	}	PUNCT
cana-1731	33	31	these	these	PRON
cana-1731	33	32	denote	denote	VERB
cana-1731	33	33	empty	empty	ADJ
cana-1731	33	34	set	set	NOUN
cana-1731	33	35	also	also	ADV
cana-1731	33	36	complete	complete	VERB
cana-1731	33	37	set	set	NOUN
cana-1731	33	38	of	of	ADP
cana-1731	33	39	a.	a.	NOUN
cana-1731	33	40	definition	definition	NOUN
cana-1731	33	41	3	3	NUM
cana-1731	33	42	:	:	PUNCT
cana-1731	34	1	[	[	X
cana-1731	34	2	3	3	X
cana-1731	34	3	]	]	PUNCT
cana-1731	34	4	the	the	DET
cana-1731	34	5	set	set	NOUN
cana-1731	34	6	of	of	ADP
cana-1731	34	7	axioms	axiom	NOUN
cana-1731	34	8	defining	define	VERB
cana-1731	34	9	the	the	PRON
cana-1731	34	10	if	if	SCONJ
cana-1731	34	11	topology	topology	NOUN
cana-1731	34	12	on	on	SCONJ
cana-1731	34	13	set	set	NOUN
cana-1731	34	14	a	a	DET
cana-1731	34	15	corresponds	correspond	NOUN
cana-1731	34	16	to	to	ADP
cana-1731	34	17	a	a	DET
cana-1731	34	18	specific	specific	ADJ
cana-1731	34	19	τ	τ	NOUN
cana-1731	34	20	governing	governing	NOUN
cana-1731	34	21	if	if	SCONJ
cana-1731	34	22	sets	set	NOUN
cana-1731	34	23	within	within	ADP
cana-1731	34	24	a.	a.	NOUN
cana-1731	34	25	(	(	PUNCT
cana-1731	34	26	i	i	NOUN
cana-1731	34	27	)	)	PUNCT
cana-1731	34	28	0~	0~	NOUN
cana-1731	34	29	,	,	PUNCT
cana-1731	34	30	1~	1~	NUM
cana-1731	34	31	∈	∈	PROPN
cana-1731	34	32	τ	τ	X
cana-1731	34	33	.	.	PUNCT
cana-1731	34	34	(	(	PUNCT
cana-1731	34	35	ii	ii	NOUN
cana-1731	34	36	)	)	PUNCT
cana-1731	34	37	e1	e1	PROPN
cana-1731	34	38	∩	∩	NOUN
cana-1731	34	39	e2	e2	PROPN
cana-1731	34	40	∈	∈	PROPN
cana-1731	34	41	τ	τ	X
cana-1731	34	42	,	,	PUNCT
cana-1731	34	43	per	per	ADP
cana-1731	34	44	e1	e1	NOUN
cana-1731	34	45	,	,	PUNCT
cana-1731	34	46	e2	e2	PROPN
cana-1731	34	47	∈	∈	PROPN
cana-1731	34	48	τ	τ	PROPN
cana-1731	34	49	.	.	PUNCT
cana-1731	34	50	(	(	PUNCT
cana-1731	34	51	iii	iii	X
cana-1731	34	52	)	)	PUNCT
cana-1731	34	53	∪	∪	NOUN
cana-1731	34	54	ei	ei	ADP
cana-1731	34	55	∈	∈	PROPN
cana-1731	34	56	τ	τ	X
cana-1731	34	57	per	per	X
cana-1731	34	58	{	{	PUNCT
cana-1731	34	59	ei	ei	NOUN
cana-1731	34	60	/	/	PUNCT
cana-1731	34	61	i	i	PRON
cana-1731	34	62	∈	∈	PROPN
cana-1731	35	1	i	i	PRON
cana-1731	35	2	}	}	PUNCT
cana-1731	35	3	⊆	⊆	NUM
cana-1731	35	4	τ	τ	X
cana-1731	35	5	.	.	PROPN
cana-1731	36	1	in	in	ADP
cana-1731	36	2	particular	particular	ADJ
cana-1731	36	3	scenario	scenario	NOUN
cana-1731	36	4	,	,	PUNCT
cana-1731	36	5	duo	duo	NOUN
cana-1731	36	6	(	(	PUNCT
cana-1731	36	7	a	a	DET
cana-1731	36	8	,	,	PUNCT
cana-1731	36	9	τ	τ	X
cana-1731	36	10	)	)	PUNCT
cana-1731	36	11	be	be	AUX
cana-1731	36	12	termed	term	VERB
cana-1731	36	13	an	an	DET
cana-1731	36	14	intuitionistic	intuitionistic	ADJ
cana-1731	36	15	fuzzy	fuzzy	ADJ
cana-1731	36	16	topological	topological	ADJ
cana-1731	36	17	space	space	NOUN
cana-1731	36	18	along	along	ADP
cana-1731	36	19	with	with	ADP
cana-1731	36	20	if	if	SCONJ
cana-1731	36	21	set	set	VERB
cana-1731	36	22	τ	τ	PROPN
cana-1731	36	23	will	will	AUX
cana-1731	36	24	be	be	AUX
cana-1731	36	25	acknowledged	acknowledge	VERB
cana-1731	36	26	as	as	ADP
cana-1731	36	27	intuitionistic	intuitionistic	ADJ
cana-1731	36	28	fuzzy	fuzzy	ADJ
cana-1731	36	29	open	open	NOUN
cana-1731	36	30	set	set	VERB
cana-1731	36	31	with	with	ADP
cana-1731	36	32	a.	a.	NOUN
cana-1731	36	33	counterpart	counterpart	NOUN
cana-1731	36	34	uc	uc	INTJ
cana-1731	36	35	has	have	AUX
cana-1731	36	36	ifo	ifo	PROPN
cana-1731	36	37	set	set	VERB
cana-1731	36	38	u	u	PRON
cana-1731	36	39	be	be	AUX
cana-1731	36	40	ift	ift	NOUN
cana-1731	36	41	set	set	NOUN
cana-1731	36	42	(	(	PUNCT
cana-1731	36	43	a	a	PRON
cana-1731	36	44	,	,	PUNCT
cana-1731	36	45	τ	τ	NOUN
cana-1731	36	46	)	)	PUNCT
cana-1731	36	47	termed	term	VERB
cana-1731	36	48	as	as	ADP
cana-1731	36	49	intuitionistic	intuitionistic	ADJ
cana-1731	36	50	fuzzy	fuzzy	ADJ
cana-1731	36	51	closed	close	VERB
cana-1731	36	52	set	set	NOUN
cana-1731	36	53	involves	involve	VERB
cana-1731	36	54	a.	a.	NOUN
cana-1731	36	55	definition	definition	NOUN
cana-1731	36	56	4	4	NUM
cana-1731	36	57	:	:	PUNCT
cana-1731	37	1	[	[	X
cana-1731	37	2	3	3	X
cana-1731	37	3	]	]	X
cana-1731	37	4	assume	assume	VERB
cana-1731	37	5	(	(	PUNCT
cana-1731	37	6	a	a	DET
cana-1731	37	7	,	,	PUNCT
cana-1731	37	8	τ	τ	X
cana-1731	37	9	)	)	PUNCT
cana-1731	37	10	be	be	VERB
cana-1731	37	11	ifts	ift	NOUN
cana-1731	37	12	and	and	CCONJ
cana-1731	37	13	u	u	NOUN
cana-1731	37	14	=	=	PROPN
cana-1731	37	15	〈	〈	PROPN
cana-1731	37	16	a	a	X
cana-1731	37	17	,	,	PUNCT
cana-1731	37	18	µu	µu	PROPN
cana-1731	37	19	,	,	PUNCT
cana-1731	37	20	νu	νu	AUX
cana-1731	37	21	〉	〉	NOUN
cana-1731	37	22	be	be	AUX
cana-1731	37	23	ifs	ifs	PROPN
cana-1731	37	24	in	in	ADP
cana-1731	37	25	a.	a.	PROPN
cana-1731	37	26	next	next	ADV
cana-1731	37	27	(	(	PUNCT
cana-1731	37	28	i	i	NOUN
cana-1731	37	29	)	)	PUNCT
cana-1731	37	30	in(u	in(u	PART
cana-1731	37	31	)	)	PUNCT
cana-1731	37	32	=	=	SYM
cana-1731	37	33	∪	∪	NOUN
cana-1731	37	34	{	{	PUNCT
cana-1731	37	35	e	e	NOUN
cana-1731	37	36	/	/	SYM
cana-1731	37	37	e	e	NOUN
cana-1731	37	38	is	be	AUX
cana-1731	37	39	an	an	DET
cana-1731	37	40	ifos	ifos	NOUN
cana-1731	37	41	in	in	ADP
cana-1731	37	42	a	a	PRON
cana-1731	37	43	and	and	CCONJ
cana-1731	37	44	e	e	NOUN
cana-1731	37	45	⊆	⊆	NUM
cana-1731	37	46	u	u	NOUN
cana-1731	37	47	}	}	PUNCT
cana-1731	37	48	.	.	PUNCT
cana-1731	38	1	(	(	PUNCT
cana-1731	38	2	ii	ii	NOUN
cana-1731	38	3	)	)	PUNCT
cana-1731	38	4	c(u	c(u	PROPN
cana-1731	38	5	)	)	PUNCT
cana-1731	39	1	=	=	SYM
cana-1731	39	2	∩	∩	NOUN
cana-1731	39	3	{	{	PUNCT
cana-1731	39	4	f	f	PROPN
cana-1731	39	5	/	/	SYM
cana-1731	39	6	f	f	PROPN
cana-1731	39	7	is	be	AUX
cana-1731	39	8	an	an	DET
cana-1731	39	9	ifcs	ifcs	NOUN
cana-1731	39	10	in	in	ADP
cana-1731	39	11	a	a	PRON
cana-1731	39	12	and	and	CCONJ
cana-1731	39	13	u	u	NOUN
cana-1731	39	14	⊆	⊆	NUM
cana-1731	39	15	f	f	PROPN
cana-1731	39	16	}	}	PUNCT
cana-1731	39	17	.	.	PUNCT
cana-1731	40	1	(	(	PUNCT
cana-1731	40	2	iii	iii	X
cana-1731	40	3	)	)	PUNCT
cana-1731	40	4	c(uc	c(uc	PROPN
cana-1731	40	5	)	)	PUNCT
cana-1731	41	1	=	=	SYM
cana-1731	41	2	(	(	PUNCT
cana-1731	41	3	in(u))c	in(u))c	PROPN
cana-1731	41	4	.	.	PUNCT
cana-1731	42	1	(	(	PUNCT
cana-1731	42	2	iv	iv	X
cana-1731	42	3	)	)	PUNCT
cana-1731	42	4	in(uc	in(uc	PROPN
cana-1731	42	5	)	)	PUNCT
cana-1731	43	1	=	=	PUNCT
cana-1731	43	2	(	(	PUNCT
cana-1731	43	3	c(u))c	c(u))c	PROPN
cana-1731	43	4	.	.	PUNCT
cana-1731	44	1	definition	definition	NOUN
cana-1731	44	2	5	5	NUM
cana-1731	44	3	:	:	PUNCT
cana-1731	44	4	[	[	X
cana-1731	44	5	4	4	X
cana-1731	44	6	]	]	PUNCT
cana-1731	44	7	assume	assume	VERB
cana-1731	44	8	u	u	NOUN
cana-1731	44	9	is	be	AUX
cana-1731	44	10	if	if	SCONJ
cana-1731	44	11	set	set	VERB
cana-1731	44	12	of	of	ADP
cana-1731	44	13	a.	a.	NOUN
cana-1731	44	14	next	next	ADV
cana-1731	44	15	(	(	PUNCT
cana-1731	44	16	i	i	NOUN
cana-1731	44	17	)	)	PUNCT
cana-1731	44	18	pin(u	pin(u	NOUN
cana-1731	44	19	)	)	PUNCT
cana-1731	45	1	=	=	NOUN
cana-1731	45	2	∪{e	∪{e	NOUN
cana-1731	45	3	:	:	PUNCT
cana-1731	45	4	e	e	X
cana-1731	45	5	be	be	AUX
cana-1731	45	6	if	if	SCONJ
cana-1731	45	7	p	p	PRON
cana-1731	45	8	o	o	NOUN
cana-1731	45	9	set	set	NOUN
cana-1731	45	10	has	have	VERB
cana-1731	45	11	a	a	DET
cana-1731	45	12	also	also	ADV
cana-1731	45	13	e	e	NOUN
cana-1731	45	14	⊆	⊆	NUM
cana-1731	45	15	u	u	NOUN
cana-1731	45	16	}	}	PUNCT
cana-1731	45	17	.	.	PUNCT
cana-1731	46	1	(	(	PUNCT
cana-1731	46	2	ii	ii	NOUN
cana-1731	46	3	)	)	PUNCT
cana-1731	46	4	pc(u	pc(u	NUM
cana-1731	46	5	)	)	PUNCT
cana-1731	47	1	=	=	PUNCT
cana-1731	47	2	∩{f	∩{f	NOUN
cana-1731	47	3	:	:	PUNCT
cana-1731	47	4	f	f	X
cana-1731	47	5	be	be	AUX
cana-1731	47	6	if	if	SCONJ
cana-1731	47	7	p	p	PRON
cana-1731	47	8	c	c	PROPN
cana-1731	47	9	set	set	NOUN
cana-1731	47	10	has	have	VERB
cana-1731	47	11	a	a	DET
cana-1731	47	12	also	also	ADV
cana-1731	47	13	u	u	NOUN
cana-1731	47	14	⊆	⊆	NUM
cana-1731	47	15	f	f	NOUN
cana-1731	47	16	}	}	PUNCT
cana-1731	47	17	.	.	PUNCT
cana-1731	48	1	communications	communication	NOUN
cana-1731	48	2	on	on	ADP
cana-1731	48	3	applied	apply	VERB
cana-1731	48	4	nonlinear	nonlinear	ADJ
cana-1731	48	5	analysis	analysis	NOUN
cana-1731	48	6	issn	issn	NOUN
cana-1731	48	7	:	:	PUNCT
cana-1731	48	8	1074	1074	NUM
cana-1731	48	9	-	-	PUNCT
cana-1731	48	10	133x	133x	NUM
cana-1731	48	11	vol	vol	NOUN
cana-1731	48	12	32	32	NUM
cana-1731	48	13	no	no	NOUN
cana-1731	48	14	.	.	NOUN
cana-1731	48	15	2	2	NUM
cana-1731	48	16	(	(	PUNCT
cana-1731	48	17	2025	2025	NUM
cana-1731	48	18	)	)	PUNCT
cana-1731	48	19	169	169	NUM
cana-1731	48	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1731	48	21	definition	definition	NOUN
cana-1731	48	22	6	6	NUM
cana-1731	48	23	:	:	PUNCT
cana-1731	49	1	[	[	X
cana-1731	49	2	4	4	X
cana-1731	49	3	]	]	PUNCT
cana-1731	49	4	an	an	DET
cana-1731	49	5	if	if	SCONJ
cana-1731	49	6	set	set	VERB
cana-1731	49	7	u	u	NOUN
cana-1731	49	8	has	have	AUX
cana-1731	49	9	ift	ift	NOUN
cana-1731	49	10	set	set	NOUN
cana-1731	49	11	(	(	PUNCT
cana-1731	49	12	a	a	DET
cana-1731	49	13	,	,	PUNCT
cana-1731	49	14	τ	τ	X
cana-1731	49	15	)	)	PUNCT
cana-1731	49	16	has	have	VERB
cana-1731	49	17	(	(	PUNCT
cana-1731	49	18	i	i	NOUN
cana-1731	49	19	)	)	PUNCT
cana-1731	49	20	intuitionistic	intuitionistic	ADJ
cana-1731	49	21	fuzzy	fuzzy	ADJ
cana-1731	49	22	semiclosed	semiclose	VERB
cana-1731	49	23	set	set	NOUN
cana-1731	49	24	provided	provide	VERB
cana-1731	49	25	that	that	SCONJ
cana-1731	49	26	(	(	PUNCT
cana-1731	49	27	c(u	c(u	PROPN
cana-1731	49	28	)	)	PUNCT
cana-1731	49	29	)	)	PUNCT
cana-1731	50	1	⊆	⊆	NUM
cana-1731	50	2	u.	u.	NOUN
cana-1731	50	3	(	(	PUNCT
cana-1731	50	4	ii	ii	NOUN
cana-1731	50	5	)	)	PUNCT
cana-1731	50	6	intuitionistic	intuitionistic	ADJ
cana-1731	50	7	fuzzy	fuzzy	ADJ
cana-1731	50	8	semiopen	semiopen	NOUN
cana-1731	50	9	defined	define	VERB
cana-1731	50	10	that	that	SCONJ
cana-1731	50	11	u	u	NOUN
cana-1731	50	12	⊆	⊆	NUM
cana-1731	50	13	c(in(u	c(in(u	NOUN
cana-1731	50	14	)	)	PUNCT
cana-1731	50	15	)	)	PUNCT
cana-1731	50	16	.	.	PUNCT
cana-1731	51	1	definition	definition	NOUN
cana-1731	51	2	7	7	NUM
cana-1731	51	3	:	:	PUNCT
cana-1731	52	1	[	[	X
cana-1731	52	2	8	8	X
cana-1731	52	3	]	]	X
cana-1731	52	4	an	an	PRON
cana-1731	52	5	if	if	SCONJ
cana-1731	52	6	set	set	VERB
cana-1731	52	7	u	u	NOUN
cana-1731	52	8	in	in	ADP
cana-1731	52	9	an	an	DET
cana-1731	52	10	ift	ift	NOUN
cana-1731	52	11	set	set	NOUN
cana-1731	52	12	(	(	PUNCT
cana-1731	52	13	a	a	PRON
cana-1731	52	14	,	,	PUNCT
cana-1731	52	15	τ	τ	PROPN
cana-1731	52	16	)	)	PUNCT
cana-1731	52	17	fulfills	fulfill	VERB
cana-1731	52	18	certain	certain	ADJ
cana-1731	52	19	conditions	condition	NOUN
cana-1731	52	20	,	,	PUNCT
cana-1731	52	21	it	it	PRON
cana-1731	52	22	qualifies	qualify	VERB
cana-1731	52	23	as	as	ADP
cana-1731	52	24	intuitionistic	intuitionistic	ADJ
cana-1731	52	25	fuzzy	fuzzy	ADJ
cana-1731	52	26	generalized	generalized	ADJ
cana-1731	52	27	pre	pre	ADJ
cana-1731	52	28	-	-	ADJ
cana-1731	52	29	semi	semi	ADJ
cana-1731	52	30	closed	closed	ADJ
cana-1731	52	31	set	set	ADJ
cana-1731	52	32	when	when	SCONJ
cana-1731	52	33	pc(u	pc(u	NUM
cana-1731	52	34	)	)	PUNCT
cana-1731	53	1	⊆	⊆	NUM
cana-1731	53	2	r	r	NOUN
cana-1731	53	3	at	at	ADP
cana-1731	53	4	any	any	DET
cana-1731	53	5	time	time	NOUN
cana-1731	53	6	u	u	NOUN
cana-1731	53	7	⊆	⊆	NUM
cana-1731	53	8	r	r	NOUN
cana-1731	53	9	also	also	ADV
cana-1731	53	10	r	r	NOUN
cana-1731	53	11	is	be	AUX
cana-1731	53	12	ifso	ifso	NOUN
cana-1731	53	13	set	set	VERB
cana-1731	53	14	in	in	ADP
cana-1731	53	15	(	(	PUNCT
cana-1731	53	16	a	a	PRON
cana-1731	53	17	,	,	PUNCT
cana-1731	53	18	τ	τ	PROPN
cana-1731	53	19	)	)	PUNCT
cana-1731	53	20	.	.	PUNCT
cana-1731	54	1	if	if	SCONJ
cana-1731	54	2	set	set	VERB
cana-1731	54	3	u	u	PRON
cana-1731	54	4	called	call	VERB
cana-1731	54	5	as	as	ADP
cana-1731	54	6	intuitionistic	intuitionistic	ADJ
cana-1731	54	7	fuzzy	fuzzy	ADJ
cana-1731	54	8	generalized	generalized	ADJ
cana-1731	54	9	pre	pre	ADJ
cana-1731	54	10	-	-	ADJ
cana-1731	54	11	semi	semi	ADJ
cana-1731	54	12	open	open	ADJ
cana-1731	54	13	set	set	NOUN
cana-1731	54	14	has	have	AUX
cana-1731	54	15	(	(	PUNCT
cana-1731	54	16	a	a	DET
cana-1731	54	17	,	,	PUNCT
cana-1731	54	18	τ	τ	PROPN
cana-1731	54	19	)	)	PUNCT
cana-1731	54	20	when	when	SCONJ
cana-1731	54	21	complement	complement	NOUN
cana-1731	54	22	uc	uc	INTJ
cana-1731	54	23	be	be	AUX
cana-1731	54	24	ifgpsc	ifgpsc	ADJ
cana-1731	54	25	set	set	NOUN
cana-1731	54	26	with	with	ADP
cana-1731	54	27	a.	a.	NOUN
cana-1731	54	28	definition	definition	NOUN
cana-1731	54	29	8	8	NUM
cana-1731	54	30	:	:	PUNCT
cana-1731	55	1	[	[	X
cana-1731	55	2	4	4	X
cana-1731	55	3	]	]	X
cana-1731	55	4	if	if	SCONJ
cana-1731	55	5	q	q	X
cana-1731	55	6	:	:	PUNCT
cana-1731	55	7	(	(	PUNCT
cana-1731	55	8	a	a	X
cana-1731	55	9	,	,	PUNCT
cana-1731	55	10	τ	τ	PROPN
cana-1731	55	11	)	)	PUNCT
cana-1731	55	12	→	→	SYM
cana-1731	55	13	(	(	PUNCT
cana-1731	55	14	b	b	PROPN
cana-1731	55	15	,	,	PUNCT
cana-1731	55	16	σ	σ	PROPN
cana-1731	55	17	)	)	PUNCT
cana-1731	55	18	is	be	AUX
cana-1731	55	19	a	a	DET
cana-1731	55	20	plotting	plotting	NOUN
cana-1731	55	21	from	from	ADP
cana-1731	55	22	an	an	DET
cana-1731	55	23	ift	ift	NOUN
cana-1731	55	24	set	set	NOUN
cana-1731	55	25	(	(	PUNCT
cana-1731	55	26	a	a	PRON
cana-1731	55	27	,	,	PUNCT
cana-1731	55	28	τ	τ	PROPN
cana-1731	55	29	)	)	PUNCT
cana-1731	55	30	into	into	ADP
cana-1731	55	31	an	an	DET
cana-1731	55	32	ift	ift	NOUN
cana-1731	55	33	set	set	NOUN
cana-1731	55	34	(	(	PUNCT
cana-1731	55	35	b	b	PROPN
cana-1731	55	36	,	,	PUNCT
cana-1731	55	37	σ	σ	PROPN
cana-1731	55	38	)	)	PUNCT
cana-1731	55	39	.	.	PUNCT
cana-1731	56	1	next	next	ADJ
cana-1731	56	2	q	q	NOUN
cana-1731	56	3	is	be	AUX
cana-1731	56	4	supposed	suppose	VERB
cana-1731	56	5	chosen	choose	VERB
cana-1731	56	6	(	(	PUNCT
cana-1731	56	7	i	i	NOUN
cana-1731	56	8	)	)	PUNCT
cana-1731	56	9	intuitionistic	intuitionistic	ADJ
cana-1731	56	10	fuzzy	fuzzy	ADJ
cana-1731	56	11	continuous	continuous	ADJ
cana-1731	56	12	when	when	SCONJ
cana-1731	56	13	q-1	q-1	ADJ
cana-1731	56	14	(	(	PUNCT
cana-1731	56	15	v	v	NOUN
cana-1731	56	16	)	)	PUNCT
cana-1731	56	17	∈	∈	NOUN
cana-1731	56	18	if	if	SCONJ
cana-1731	56	19	open	open	ADJ
cana-1731	56	20	(	(	PUNCT
cana-1731	56	21	a	a	X
cana-1731	56	22	)	)	PUNCT
cana-1731	57	1	perv	perv	PROPN
cana-1731	57	2	∈	∈	PROPN
cana-1731	57	3	σ	σ	PROPN
cana-1731	57	4	.	.	PUNCT
cana-1731	57	5	(	(	PUNCT
cana-1731	57	6	ii	ii	NOUN
cana-1731	57	7	)	)	PUNCT
cana-1731	57	8	intuitionistic	intuitionistic	ADJ
cana-1731	57	9	fuzzy	fuzzy	ADJ
cana-1731	57	10	α	α	NOUN
cana-1731	57	11	continuous	continuous	ADJ
cana-1731	57	12	when	when	SCONJ
cana-1731	57	13	q-1	q-1	ADJ
cana-1731	57	14	(	(	PUNCT
cana-1731	57	15	v	v	NOUN
cana-1731	57	16	)	)	PUNCT
cana-1731	57	17	∈	∈	NOUN
cana-1731	57	18	if	if	SCONJ
cana-1731	57	19	α	α	PRON
cana-1731	57	20	open(a	open(a	PROPN
cana-1731	57	21	)	)	PUNCT
cana-1731	57	22	per	per	ADP
cana-1731	57	23	v	v	NUM
cana-1731	57	24	∈	∈	PROPN
cana-1731	57	25	σ	σ	PROPN
cana-1731	57	26	.	.	PUNCT
cana-1731	57	27	definition	definition	NOUN
cana-1731	57	28	9	9	NUM
cana-1731	57	29	:	:	PUNCT
cana-1731	58	1	[	[	X
cana-1731	58	2	9	9	X
cana-1731	58	3	]	]	PUNCT
cana-1731	58	4	a	a	DET
cana-1731	58	5	plotting	plotting	NOUN
cana-1731	58	6	q	q	NOUN
cana-1731	58	7	:	:	PUNCT
cana-1731	58	8	(	(	PUNCT
cana-1731	58	9	a	a	X
cana-1731	58	10	,	,	PUNCT
cana-1731	58	11	τ	τ	PROPN
cana-1731	58	12	)	)	PUNCT
cana-1731	58	13	→	→	SYM
cana-1731	58	14	(	(	PUNCT
cana-1731	58	15	b	b	PROPN
cana-1731	58	16	,	,	PUNCT
cana-1731	58	17	σ	σ	PROPN
cana-1731	58	18	)	)	PUNCT
cana-1731	58	19	termed	term	VERB
cana-1731	58	20	as	as	ADP
cana-1731	58	21	intuitionistic	intuitionistic	ADJ
cana-1731	58	22	fuzzy	fuzzy	ADJ
cana-1731	58	23	generalized	generalized	ADJ
cana-1731	58	24	pre	pre	ADJ
cana-1731	58	25	-	-	ADJ
cana-1731	58	26	semi	semi	ADJ
cana-1731	58	27	continuous	continuous	ADJ
cana-1731	58	28	functions	function	NOUN
cana-1731	58	29	if	if	SCONJ
cana-1731	58	30	q-1	q-1	NUM
cana-1731	58	31	(	(	PUNCT
cana-1731	58	32	s	s	X
cana-1731	58	33	)	)	PUNCT
cana-1731	58	34	is	be	AUX
cana-1731	58	35	ifgpsc	ifgpsc	ADJ
cana-1731	58	36	set	set	NOUN
cana-1731	58	37	in	in	ADP
cana-1731	58	38	(	(	PUNCT
cana-1731	58	39	a	a	PRON
cana-1731	58	40	,	,	PUNCT
cana-1731	58	41	τ	τ	PROPN
cana-1731	58	42	)	)	PUNCT
cana-1731	58	43	in	in	ADP
cana-1731	58	44	each	each	DET
cana-1731	58	45	case	case	NOUN
cana-1731	58	46	ifc	ifc	NOUN
cana-1731	58	47	set	set	VERB
cana-1731	58	48	s	s	PRON
cana-1731	58	49	of	of	ADP
cana-1731	58	50	(	(	PUNCT
cana-1731	58	51	b	b	PROPN
cana-1731	58	52	,	,	PUNCT
cana-1731	58	53	σ	σ	PROPN
cana-1731	58	54	)	)	PUNCT
cana-1731	58	55	.	.	PUNCT
cana-1731	59	1	definition	definition	NOUN
cana-1731	59	2	10	10	NUM
cana-1731	59	3	:	:	PUNCT
cana-1731	60	1	[	[	X
cana-1731	60	2	11	11	NUM
cana-1731	60	3	]	]	PUNCT
cana-1731	60	4	a	a	DET
cana-1731	60	5	plotting	plotting	NOUN
cana-1731	60	6	q	q	NOUN
cana-1731	60	7	:	:	PUNCT
cana-1731	60	8	(	(	PUNCT
cana-1731	60	9	a	a	X
cana-1731	60	10	,	,	PUNCT
cana-1731	60	11	τ	τ	PROPN
cana-1731	60	12	)	)	PUNCT
cana-1731	60	13	→	→	SYM
cana-1731	60	14	(	(	PUNCT
cana-1731	60	15	b	b	PROPN
cana-1731	60	16	,	,	PUNCT
cana-1731	60	17	σ	σ	PROPN
cana-1731	60	18	)	)	PUNCT
cana-1731	60	19	labelled	label	VERB
cana-1731	60	20	as	as	ADP
cana-1731	60	21	intuitionistic	intuitionistic	ADJ
cana-1731	60	22	fuzzy	fuzzy	ADJ
cana-1731	60	23	generalized	generalized	ADJ
cana-1731	60	24	semi	semi	ADJ
cana-1731	60	25	-	-	ADJ
cana-1731	60	26	pre	pre	ADJ
cana-1731	60	27	continuous	continuous	ADJ
cana-1731	60	28	mapping	mapping	NOUN
cana-1731	60	29	when	when	SCONJ
cana-1731	60	30	q-1	q-1	PROPN
cana-1731	60	31	(	(	PUNCT
cana-1731	60	32	v	v	NOUN
cana-1731	60	33	)	)	PUNCT
cana-1731	60	34	be	be	VERB
cana-1731	60	35	ifgspc	ifgspc	NOUN
cana-1731	60	36	set	set	VERB
cana-1731	60	37	in	in	ADP
cana-1731	60	38	(	(	PUNCT
cana-1731	60	39	a	a	PRON
cana-1731	60	40	,	,	PUNCT
cana-1731	60	41	τ	τ	PROPN
cana-1731	60	42	)	)	PUNCT
cana-1731	60	43	for	for	SCONJ
cana-1731	60	44	each	each	DET
cana-1731	60	45	ifc	ifc	NOUN
cana-1731	60	46	set	set	VERB
cana-1731	60	47	v	v	NUM
cana-1731	60	48	of	of	ADP
cana-1731	60	49	(	(	PUNCT
cana-1731	60	50	b	b	PROPN
cana-1731	60	51	,	,	PUNCT
cana-1731	60	52	σ	σ	PROPN
cana-1731	60	53	)	)	PUNCT
cana-1731	60	54	.	.	PUNCT
cana-1731	61	1	definition	definition	NOUN
cana-1731	61	2	11	11	NUM
cana-1731	61	3	:	:	PUNCT
cana-1731	62	1	[	[	X
cana-1731	62	2	5	5	X
cana-1731	62	3	]	]	PUNCT
cana-1731	62	4	a	a	DET
cana-1731	62	5	plotting	plotting	NOUN
cana-1731	62	6	q	q	NOUN
cana-1731	62	7	:	:	PUNCT
cana-1731	62	8	(	(	PUNCT
cana-1731	62	9	a	a	X
cana-1731	62	10	,	,	PUNCT
cana-1731	62	11	τ	τ	PROPN
cana-1731	62	12	)	)	PUNCT
cana-1731	62	13	→	→	SYM
cana-1731	62	14	(	(	PUNCT
cana-1731	62	15	b	b	PROPN
cana-1731	62	16	,	,	PUNCT
cana-1731	62	17	σ	σ	PROPN
cana-1731	62	18	)	)	PUNCT
cana-1731	62	19	is	be	AUX
cana-1731	62	20	christened	christen	VERB
cana-1731	62	21	intuitionistic	intuitionistic	ADJ
cana-1731	62	22	fuzzy	fuzzy	ADJ
cana-1731	62	23	generalized	generalize	VERB
cana-1731	62	24	semi	semi	ADV
cana-1731	62	25	pre	pre	VERB
cana-1731	62	26	regular	regular	ADJ
cana-1731	62	27	continuous	continuous	ADJ
cana-1731	62	28	mapping	mapping	NOUN
cana-1731	62	29	when	when	SCONJ
cana-1731	62	30	q-1	q-1	PROPN
cana-1731	62	31	(	(	PUNCT
cana-1731	62	32	s	s	X
cana-1731	62	33	)	)	PUNCT
cana-1731	62	34	be	be	AUX
cana-1731	62	35	ifgsprc	ifgsprc	ADJ
cana-1731	62	36	set	set	NOUN
cana-1731	62	37	in	in	ADP
cana-1731	62	38	(	(	PUNCT
cana-1731	62	39	a	a	PRON
cana-1731	62	40	,	,	PUNCT
cana-1731	62	41	τ	τ	PROPN
cana-1731	62	42	)	)	PUNCT
cana-1731	62	43	every	every	DET
cana-1731	62	44	ifc	ifc	NOUN
cana-1731	62	45	set	set	VERB
cana-1731	62	46	v	v	NOUN
cana-1731	62	47	belongs	belong	VERB
cana-1731	62	48	to	to	ADP
cana-1731	62	49	(	(	PUNCT
cana-1731	62	50	b	b	PROPN
cana-1731	62	51	,	,	PUNCT
cana-1731	62	52	σ	σ	PROPN
cana-1731	62	53	)	)	PUNCT
cana-1731	62	54	.	.	PUNCT
cana-1731	63	1	definition	definition	NOUN
cana-1731	63	2	12	12	NUM
cana-1731	63	3	:	:	PUNCT
cana-1731	64	1	[	[	X
cana-1731	64	2	9	9	X
cana-1731	64	3	]	]	X
cana-1731	64	4	a	a	DET
cana-1731	64	5	plotting	plotting	NOUN
cana-1731	64	6	q	q	NOUN
cana-1731	64	7	:	:	PUNCT
cana-1731	64	8	(	(	PUNCT
cana-1731	64	9	a	a	X
cana-1731	64	10	,	,	PUNCT
cana-1731	64	11	τ	τ	PROPN
cana-1731	64	12	)	)	PUNCT
cana-1731	64	13	→	→	SYM
cana-1731	64	14	(	(	PUNCT
cana-1731	64	15	b	b	PROPN
cana-1731	64	16	,	,	PUNCT
cana-1731	64	17	σ	σ	PROPN
cana-1731	64	18	)	)	PUNCT
cana-1731	64	19	is	be	AUX
cana-1731	64	20	intuitionistic	intuitionistic	ADJ
cana-1731	64	21	fuzzy	fuzzy	ADJ
cana-1731	64	22	generalized	generalized	ADJ
cana-1731	64	23	pre	pre	ADJ
cana-1731	64	24	-	-	ADJ
cana-1731	64	25	semi	semi	ADJ
cana-1731	64	26	weak	weak	ADJ
cana-1731	64	27	function	function	NOUN
cana-1731	64	28	when	when	SCONJ
cana-1731	64	29	q-1	q-1	PROPN
cana-1731	64	30	(	(	PUNCT
cana-1731	64	31	s	s	NOUN
cana-1731	64	32	)	)	PUNCT
cana-1731	64	33	termed	term	VERB
cana-1731	64	34	as	as	ADP
cana-1731	64	35	ifgpsc	ifgpsc	ADJ
cana-1731	64	36	set	set	NOUN
cana-1731	64	37	with	with	ADP
cana-1731	64	38	(	(	PUNCT
cana-1731	64	39	a	a	PRON
cana-1731	64	40	,	,	PUNCT
cana-1731	64	41	τ	τ	PROPN
cana-1731	64	42	)	)	PUNCT
cana-1731	64	43	apiece	apiece	ADV
cana-1731	64	44	ifgpsc	ifgpsc	PROPN
cana-1731	64	45	set	set	PROPN
cana-1731	64	46	s	s	PROPN
cana-1731	64	47	of	of	ADP
cana-1731	64	48	(	(	PUNCT
cana-1731	64	49	b	b	PROPN
cana-1731	64	50	,	,	PUNCT
cana-1731	64	51	σ	σ	PROPN
cana-1731	64	52	)	)	PUNCT
cana-1731	64	53	.	.	PUNCT
cana-1731	65	1	definition	definition	NOUN
cana-1731	65	2	13	13	NUM
cana-1731	65	3	:	:	PUNCT
cana-1731	66	1	[	[	X
cana-1731	66	2	14	14	NUM
cana-1731	66	3	]	]	X
cana-1731	66	4	a	a	DET
cana-1731	66	5	map	map	NOUN
cana-1731	66	6	q	q	NOUN
cana-1731	66	7	:	:	PUNCT
cana-1731	66	8	(	(	PUNCT
cana-1731	66	9	a	a	X
cana-1731	66	10	,	,	PUNCT
cana-1731	66	11	τ	τ	PROPN
cana-1731	66	12	)	)	PUNCT
cana-1731	66	13	→	→	SYM
cana-1731	66	14	(	(	PUNCT
cana-1731	66	15	b	b	PROPN
cana-1731	66	16	,	,	PUNCT
cana-1731	66	17	σ	σ	PROPN
cana-1731	66	18	)	)	PUNCT
cana-1731	66	19	baptised	baptise	VERB
cana-1731	66	20	(	(	PUNCT
cana-1731	66	21	i	i	NOUN
cana-1731	66	22	)	)	PUNCT
cana-1731	66	23	intuitionistic	intuitionistic	ADJ
cana-1731	66	24	fuzzy	fuzzy	ADJ
cana-1731	66	25	closed	close	VERB
cana-1731	66	26	mapping	mapping	NOUN
cana-1731	66	27	when	when	SCONJ
cana-1731	66	28	q(u	q(u	NOUN
cana-1731	66	29	)	)	PUNCT
cana-1731	66	30	is	be	AUX
cana-1731	66	31	ifc	ifc	NOUN
cana-1731	66	32	set	set	VERB
cana-1731	66	33	involve	involve	VERB
cana-1731	66	34	b	b	DET
cana-1731	66	35	universally	universally	ADV
cana-1731	66	36	ifc	ifc	NOUN
cana-1731	66	37	set	set	VERB
cana-1731	66	38	u	u	NOUN
cana-1731	66	39	in	in	ADP
cana-1731	66	40	a.	a.	PROPN
cana-1731	66	41	(	(	PUNCT
cana-1731	66	42	ii	ii	NOUN
cana-1731	66	43	)	)	PUNCT
cana-1731	66	44	intuitionistic	intuitionistic	ADJ
cana-1731	66	45	fuzzy	fuzzy	ADJ
cana-1731	66	46	α	α	ADJ
cana-1731	66	47	-	-	ADJ
cana-1731	66	48	open	open	ADJ
cana-1731	66	49	mapping	mapping	NOUN
cana-1731	66	50	when	when	SCONJ
cana-1731	66	51	q(u	q(u	X
cana-1731	66	52	)	)	PUNCT
cana-1731	66	53	is	be	AUX
cana-1731	66	54	if	if	SCONJ
cana-1731	66	55	αo	αo	PRON
cana-1731	66	56	set	set	VERB
cana-1731	66	57	involve	involve	VERB
cana-1731	66	58	b	b	NOUN
cana-1731	66	59	universally	universally	ADV
cana-1731	66	60	ifo	ifo	PROPN
cana-1731	66	61	set	set	VERB
cana-1731	66	62	u	u	NOUN
cana-1731	66	63	in	in	ADP
cana-1731	66	64	a.	a.	NOUN
cana-1731	66	65	communications	communication	NOUN
cana-1731	66	66	on	on	ADP
cana-1731	66	67	applied	apply	VERB
cana-1731	66	68	nonlinear	nonlinear	ADJ
cana-1731	66	69	analysis	analysis	NOUN
cana-1731	66	70	issn	issn	NOUN
cana-1731	66	71	:	:	PUNCT
cana-1731	66	72	1074	1074	NUM
cana-1731	66	73	-	-	PUNCT
cana-1731	66	74	133x	133x	NUM
cana-1731	66	75	vol	vol	NOUN
cana-1731	66	76	32	32	NUM
cana-1731	66	77	no	no	NOUN
cana-1731	66	78	.	.	NOUN
cana-1731	66	79	2	2	NUM
cana-1731	66	80	(	(	PUNCT
cana-1731	66	81	2025	2025	NUM
cana-1731	66	82	)	)	PUNCT
cana-1731	66	83	170	170	NUM
cana-1731	67	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1731	68	1	definition	definition	NOUN
cana-1731	68	2	14	14	NUM
cana-1731	68	3	:	:	PUNCT
cana-1731	69	1	[	[	X
cana-1731	69	2	10	10	NUM
cana-1731	69	3	]	]	X
cana-1731	69	4	a	a	DET
cana-1731	69	5	plotting	plotting	NOUN
cana-1731	69	6	q	q	NOUN
cana-1731	69	7	:	:	PUNCT
cana-1731	69	8	(	(	PUNCT
cana-1731	69	9	a	a	X
cana-1731	69	10	,	,	PUNCT
cana-1731	69	11	τ	τ	PROPN
cana-1731	69	12	)	)	PUNCT
cana-1731	69	13	→	→	SYM
cana-1731	69	14	(	(	PUNCT
cana-1731	69	15	b	b	PROPN
cana-1731	69	16	,	,	PUNCT
cana-1731	69	17	σ	σ	PROPN
cana-1731	69	18	)	)	PUNCT
cana-1731	69	19	baptized	baptize	VERB
cana-1731	69	20	intuitionistic	intuitionistic	ADJ
cana-1731	69	21	fuzzy	fuzzy	ADJ
cana-1731	69	22	generalized	generalized	ADJ
cana-1731	69	23	pre	pre	ADJ
cana-1731	69	24	-	-	ADJ
cana-1731	69	25	semi	semi	ADJ
cana-1731	69	26	closed	closed	ADJ
cana-1731	69	27	plotting	plotting	NOUN
cana-1731	69	28	if	if	SCONJ
cana-1731	69	29	q(u	q(u	NOUN
cana-1731	69	30	)	)	PUNCT
cana-1731	69	31	be	be	VERB
cana-1731	69	32	ifgps	ifgp	NOUN
cana-1731	69	33	closed	close	VERB
cana-1731	69	34	set	set	NOUN
cana-1731	69	35	has	have	VERB
cana-1731	69	36	b	b	NOUN
cana-1731	69	37	in	in	ADP
cana-1731	69	38	every	every	DET
cana-1731	69	39	instance	instance	NOUN
cana-1731	69	40	ifc	ifc	NOUN
cana-1731	69	41	set	set	VERB
cana-1731	69	42	u	u	NOUN
cana-1731	69	43	involves	involve	VERB
cana-1731	69	44	a.	a.	NOUN
cana-1731	69	45	definition	definition	NOUN
cana-1731	69	46	15	15	NUM
cana-1731	69	47	:	:	PUNCT
cana-1731	70	1	[	[	X
cana-1731	70	2	10	10	NUM
cana-1731	70	3	]	]	X
cana-1731	70	4	a	a	DET
cana-1731	70	5	plotting	plotting	NOUN
cana-1731	70	6	q	q	NOUN
cana-1731	70	7	:	:	PUNCT
cana-1731	70	8	(	(	PUNCT
cana-1731	70	9	a	a	X
cana-1731	70	10	,	,	PUNCT
cana-1731	70	11	τ	τ	PROPN
cana-1731	70	12	)	)	PUNCT
cana-1731	70	13	→	→	SYM
cana-1731	70	14	(	(	PUNCT
cana-1731	70	15	b	b	PROPN
cana-1731	70	16	,	,	PUNCT
cana-1731	70	17	σ	σ	PROPN
cana-1731	70	18	)	)	PUNCT
cana-1731	70	19	labelled	label	VERB
cana-1731	70	20	as	as	ADP
cana-1731	70	21	intuitionistic	intuitionistic	ADJ
cana-1731	70	22	fuzzy	fuzzy	ADJ
cana-1731	70	23	generalized	generalize	VERB
cana-1731	70	24	pre	pre	NOUN
cana-1731	70	25	semi	semi	ADV
cana-1731	70	26	open	open	ADJ
cana-1731	70	27	plotting	plot	VERB
cana-1731	70	28	when	when	SCONJ
cana-1731	70	29	q(u	q(u	X
cana-1731	70	30	)	)	PUNCT
cana-1731	70	31	be	be	VERB
cana-1731	70	32	ifgps	ifgp	NOUN
cana-1731	70	33	open	open	ADJ
cana-1731	70	34	set	set	VERB
cana-1731	70	35	with	with	ADP
cana-1731	70	36	b	b	NOUN
cana-1731	70	37	universally	universally	ADV
cana-1731	70	38	ifo	ifo	PROPN
cana-1731	70	39	set	set	NOUN
cana-1731	70	40	involves	involve	VERB
cana-1731	70	41	a.	a.	NOUN
cana-1731	70	42	definition	definition	NOUN
cana-1731	70	43	16	16	NUM
cana-1731	70	44	:	:	PUNCT
cana-1731	71	1	[	[	X
cana-1731	71	2	12	12	NUM
cana-1731	71	3	]	]	PUNCT
cana-1731	71	4	a	a	DET
cana-1731	71	5	plotting	plotting	NOUN
cana-1731	71	6	q	q	NOUN
cana-1731	71	7	:	:	PUNCT
cana-1731	71	8	(	(	PUNCT
cana-1731	71	9	a	a	X
cana-1731	71	10	,	,	PUNCT
cana-1731	71	11	τ	τ	PROPN
cana-1731	71	12	)	)	PUNCT
cana-1731	71	13	→	→	SYM
cana-1731	71	14	(	(	PUNCT
cana-1731	71	15	b	b	PROPN
cana-1731	71	16	,	,	PUNCT
cana-1731	71	17	σ	σ	PROPN
cana-1731	71	18	)	)	PUNCT
cana-1731	71	19	termed	term	VERB
cana-1731	71	20	as	as	ADP
cana-1731	71	21	intuitionistic	intuitionistic	ADJ
cana-1731	71	22	fuzzy	fuzzy	ADJ
cana-1731	71	23	generalized	generalize	VERB
cana-1731	71	24	semi	semi	ADV
cana-1731	71	25	pre	pre	X
cana-1731	71	26	closed	closed	ADJ
cana-1731	71	27	plotting	plot	VERB
cana-1731	71	28	if	if	SCONJ
cana-1731	71	29	q	q	X
cana-1731	71	30	(	(	PUNCT
cana-1731	71	31	u	u	NOUN
cana-1731	71	32	)	)	PUNCT
cana-1731	71	33	be	be	AUX
cana-1731	71	34	ifgsp	ifgsp	ADJ
cana-1731	71	35	closed	close	VERB
cana-1731	71	36	set	set	VERB
cana-1731	71	37	with	with	ADP
cana-1731	71	38	b	b	NOUN
cana-1731	71	39	universally	universally	ADV
cana-1731	71	40	ifc	ifc	NOUN
cana-1731	71	41	set	set	VERB
cana-1731	71	42	u	u	NOUN
cana-1731	71	43	involves	involve	VERB
cana-1731	71	44	a.	a.	NOUN
cana-1731	71	45	definition	definition	NOUN
cana-1731	71	46	17	17	NUM
cana-1731	71	47	:	:	PUNCT
cana-1731	72	1	[	[	X
cana-1731	72	2	6	6	NUM
cana-1731	72	3	]	]	PUNCT
cana-1731	72	4	a	a	DET
cana-1731	72	5	plotting	plotting	NOUN
cana-1731	72	6	q	q	NOUN
cana-1731	72	7	:	:	PUNCT
cana-1731	72	8	(	(	PUNCT
cana-1731	72	9	a	a	X
cana-1731	72	10	,	,	PUNCT
cana-1731	72	11	τ	τ	PROPN
cana-1731	72	12	)	)	PUNCT
cana-1731	72	13	→	→	SYM
cana-1731	72	14	(	(	PUNCT
cana-1731	72	15	b	b	PROPN
cana-1731	72	16	,	,	PUNCT
cana-1731	72	17	σ	σ	PROPN
cana-1731	72	18	)	)	PUNCT
cana-1731	72	19	labelled	label	VERB
cana-1731	72	20	as	as	ADP
cana-1731	72	21	intuitionistic	intuitionistic	ADJ
cana-1731	72	22	fuzzy	fuzzy	ADJ
cana-1731	72	23	generalized	generalize	VERB
cana-1731	72	24	semi	semi	ADV
cana-1731	72	25	pre	pre	VERB
cana-1731	72	26	regular	regular	ADJ
cana-1731	72	27	closed	closed	ADJ
cana-1731	72	28	function	function	NOUN
cana-1731	72	29	if	if	SCONJ
cana-1731	72	30	fq(u	fq(u	NUM
cana-1731	72	31	)	)	PUNCT
cana-1731	72	32	be	be	AUX
cana-1731	72	33	ifgspr	ifgspr	NOUN
cana-1731	72	34	closed	close	VERB
cana-1731	72	35	set	set	VERB
cana-1731	72	36	within	within	ADP
cana-1731	72	37	b	b	NOUN
cana-1731	72	38	for	for	ADP
cana-1731	72	39	all	all	DET
cana-1731	72	40	ifc	ifc	NOUN
cana-1731	72	41	set	set	VERB
cana-1731	72	42	u	u	NOUN
cana-1731	72	43	involves	involve	VERB
cana-1731	72	44	a.	a.	NOUN
cana-1731	72	45	definition	definition	NOUN
cana-1731	72	46	18	18	NUM
cana-1731	72	47	:	:	PUNCT
cana-1731	73	1	[	[	X
cana-1731	73	2	8	8	X
cana-1731	73	3	]	]	X
cana-1731	73	4	if	if	SCONJ
cana-1731	73	5	each	each	DET
cana-1731	73	6	ifgp	ifgp	NOUN
cana-1731	73	7	set	set	VERB
cana-1731	73	8	closed	close	VERB
cana-1731	73	9	set	set	VERB
cana-1731	73	10	in	in	ADP
cana-1731	73	11	(	(	PUNCT
cana-1731	73	12	a	a	DET
cana-1731	73	13	,	,	PUNCT
cana-1731	73	14	τ	τ	X
cana-1731	73	15	)	)	PUNCT
cana-1731	73	16	is	be	AUX
cana-1731	73	17	ifpc	ifpc	PROPN
cana-1731	73	18	set	set	VERB
cana-1731	73	19	consists	consist	VERB
cana-1731	73	20	(	(	PUNCT
cana-1731	73	21	a	a	PRON
cana-1731	73	22	,	,	PUNCT
cana-1731	73	23	τ	τ	PROPN
cana-1731	73	24	)	)	PUNCT
cana-1731	73	25	,	,	PUNCT
cana-1731	73	26	next	next	ADJ
cana-1731	73	27	space	space	NOUN
cana-1731	73	28	described	describe	VERB
cana-1731	73	29	as	as	ADP
cana-1731	73	30	intuitionistic	intuitionistic	ADJ
cana-1731	73	31	fuzzy	fuzzy	ADJ
cana-1731	73	32	pre	pre	ADJ
cana-1731	73	33	semi	semi	ADJ
cana-1731	73	34	m1/2	m1/2	ADJ
cana-1731	73	35	space	space	NOUN
cana-1731	73	36	.	.	PUNCT
cana-1731	74	1	definition	definition	NOUN
cana-1731	74	2	19	19	NUM
cana-1731	74	3	:	:	PUNCT
cana-1731	75	1	[	[	X
cana-1731	75	2	8	8	X
cana-1731	75	3	]	]	X
cana-1731	75	4	an	an	DET
cana-1731	75	5	ift	ift	NOUN
cana-1731	75	6	set	set	NOUN
cana-1731	75	7	(	(	PUNCT
cana-1731	75	8	a	a	DET
cana-1731	75	9	,	,	PUNCT
cana-1731	75	10	τ	τ	NOUN
cana-1731	75	11	)	)	PUNCT
cana-1731	75	12	termed	term	VERB
cana-1731	75	13	as	as	ADP
cana-1731	75	14	intuitionistic	intuitionistic	ADJ
cana-1731	75	15	fuzzy	fuzzy	ADJ
cana-1731	75	16	pre	pre	ADJ
cana-1731	75	17	semi	semi	ADV
cana-1731	75	18	m	m	PROPN
cana-1731	75	19	*	*	ADJ
cana-1731	75	20	1/2	1/2	NUM
cana-1731	75	21	space	space	NOUN
cana-1731	75	22	if	if	SCONJ
cana-1731	75	23	all	all	DET
cana-1731	75	24	ifgps	ifgp	NOUN
cana-1731	75	25	closed	close	VERB
cana-1731	75	26	set	set	VERB
cana-1731	75	27	is	be	AUX
cana-1731	75	28	ifc	ifc	NOUN
cana-1731	75	29	set	set	VERB
cana-1731	75	30	involves	involve	VERB
cana-1731	75	31	(	(	PUNCT
cana-1731	75	32	a	a	PRON
cana-1731	75	33	,	,	PUNCT
cana-1731	75	34	τ	τ	PROPN
cana-1731	75	35	)	)	PUNCT
cana-1731	75	36	.	.	PUNCT
cana-1731	76	1	definition	definition	NOUN
cana-1731	76	2	20	20	NUM
cana-1731	76	3	:	:	PUNCT
cana-1731	77	1	[	[	X
cana-1731	77	2	7	7	X
cana-1731	77	3	]	]	X
cana-1731	77	4	let	let	VERB
cana-1731	77	5	q	q	NOUN
cana-1731	77	6	is	be	AUX
cana-1731	77	7	bijection	bijection	NOUN
cana-1731	77	8	mapping	mapping	NOUN
cana-1731	77	9	from	from	ADP
cana-1731	77	10	ift	ift	PROPN
cana-1731	77	11	set	set	NOUN
cana-1731	77	12	(	(	PUNCT
cana-1731	77	13	a	a	PRON
cana-1731	77	14	,	,	PUNCT
cana-1731	77	15	τ	τ	PROPN
cana-1731	77	16	)	)	PUNCT
cana-1731	77	17	into	into	ADP
cana-1731	77	18	ift	ift	NOUN
cana-1731	77	19	set	set	PROPN
cana-1731	77	20	(	(	PUNCT
cana-1731	77	21	b	b	PROPN
cana-1731	77	22	,	,	PUNCT
cana-1731	77	23	σ	σ	PROPN
cana-1731	77	24	)	)	PUNCT
cana-1731	77	25	.	.	PUNCT
cana-1731	78	1	then	then	ADV
cana-1731	78	2	q	q	PROPN
cana-1731	78	3	called	call	VERB
cana-1731	78	4	as	as	ADP
cana-1731	78	5	(	(	PUNCT
cana-1731	78	6	i	i	NOUN
cana-1731	78	7	)	)	PUNCT
cana-1731	78	8	intuitionistic	intuitionistic	ADJ
cana-1731	78	9	fuzzy	fuzzy	ADJ
cana-1731	78	10	homeomorphism	homeomorphism	NOUN
cana-1731	78	11	if	if	SCONJ
cana-1731	78	12	q	q	PROPN
cana-1731	78	13	also	also	ADV
cana-1731	78	14	q	q	PUNCT
cana-1731	78	15	−1	−1	NOUN
cana-1731	78	16	be	be	AUX
cana-1731	78	17	if	if	SCONJ
cana-1731	78	18	continuous	continuous	ADJ
cana-1731	78	19	functions	function	NOUN
cana-1731	78	20	.	.	PUNCT
cana-1731	79	1	(	(	PUNCT
cana-1731	79	2	ii	ii	NOUN
cana-1731	79	3	)	)	PUNCT
cana-1731	79	4	intuitionistic	intuitionistic	ADJ
cana-1731	79	5	fuzzy	fuzzy	ADJ
cana-1731	79	6	α	α	PROPN
cana-1731	79	7	homeomorphism	homeomorphism	PROPN
cana-1731	79	8	if	if	SCONJ
cana-1731	79	9	q	q	PROPN
cana-1731	79	10	also	also	ADV
cana-1731	79	11	q	q	PUNCT
cana-1731	79	12	−1	−1	NOUN
cana-1731	79	13	be	be	AUX
cana-1731	79	14	if	if	SCONJ
cana-1731	79	15	α	α	DET
cana-1731	79	16	continuous	continuous	ADJ
cana-1731	79	17	functions	function	NOUN
cana-1731	79	18	.	.	PUNCT
cana-1731	80	1	definition	definition	NOUN
cana-1731	80	2	21	21	NUM
cana-1731	80	3	:	:	PUNCT
cana-1731	81	1	[	[	X
cana-1731	81	2	6	6	NUM
cana-1731	81	3	]	]	X
cana-1731	81	4	if	if	SCONJ
cana-1731	81	5	q	q	X
cana-1731	81	6	:	:	PUNCT
cana-1731	81	7	(	(	PUNCT
cana-1731	81	8	a	a	X
cana-1731	81	9	,	,	PUNCT
cana-1731	81	10	τ	τ	PROPN
cana-1731	81	11	)	)	PUNCT
cana-1731	81	12	→	→	SYM
cana-1731	81	13	(	(	PUNCT
cana-1731	81	14	b	b	PROPN
cana-1731	81	15	,	,	PUNCT
cana-1731	81	16	σ	σ	PROPN
cana-1731	81	17	)	)	PUNCT
cana-1731	81	18	is	be	AUX
cana-1731	81	19	a	a	DET
cana-1731	81	20	bijective	bijective	ADJ
cana-1731	81	21	function	function	NOUN
cana-1731	81	22	.	.	PUNCT
cana-1731	82	1	formerly	formerly	ADV
cana-1731	82	2	q	q	PROPN
cana-1731	82	3	called	call	VERB
cana-1731	82	4	as	as	ADP
cana-1731	82	5	intuitionistic	intuitionistic	ADJ
cana-1731	82	6	fuzzy	fuzzy	ADJ
cana-1731	82	7	generalized	generalized	ADJ
cana-1731	82	8	semi	semi	ADJ
cana-1731	82	9	-	-	ADJ
cana-1731	82	10	pre	pre	ADJ
cana-1731	82	11	regular	regular	ADJ
cana-1731	82	12	homeomorphism	homeomorphism	NOUN
cana-1731	82	13	when	when	SCONJ
cana-1731	82	14	q	q	PROPN
cana-1731	82	15	be	be	AUX
cana-1731	82	16	together	together	ADV
cana-1731	82	17	ifgsp	ifgsp	ADJ
cana-1731	82	18	regular	regular	ADJ
cana-1731	82	19	continuous	continuous	ADJ
cana-1731	82	20	function	function	NOUN
cana-1731	82	21	also	also	ADV
cana-1731	82	22	ifgsp	ifgsp	VERB
cana-1731	82	23	regular	regular	ADJ
cana-1731	82	24	closed	closed	ADJ
cana-1731	82	25	function	function	NOUN
cana-1731	82	26	.	.	PUNCT
cana-1731	83	1	definition	definition	NOUN
cana-1731	83	2	22	22	NUM
cana-1731	83	3	:	:	PUNCT
cana-1731	84	1	[	[	X
cana-1731	84	2	13	13	NUM
cana-1731	84	3	]	]	X
cana-1731	84	4	if	if	SCONJ
cana-1731	84	5	q	q	X
cana-1731	84	6	:	:	PUNCT
cana-1731	84	7	(	(	PUNCT
cana-1731	84	8	a	a	X
cana-1731	84	9	,	,	PUNCT
cana-1731	84	10	τ	τ	PROPN
cana-1731	84	11	)	)	PUNCT
cana-1731	84	12	→	→	SYM
cana-1731	84	13	(	(	PUNCT
cana-1731	84	14	b	b	PROPN
cana-1731	84	15	,	,	PUNCT
cana-1731	84	16	σ	σ	PROPN
cana-1731	84	17	)	)	PUNCT
cana-1731	84	18	is	be	AUX
cana-1731	84	19	a	a	DET
cana-1731	84	20	bijective	bijective	ADJ
cana-1731	84	21	mapping	mapping	NOUN
cana-1731	84	22	.	.	PUNCT
cana-1731	85	1	formerly	formerly	ADV
cana-1731	85	2	q	q	PRON
cana-1731	85	3	called	call	VERB
cana-1731	85	4	as	as	ADP
cana-1731	85	5	intuitionistic	intuitionistic	ADJ
cana-1731	85	6	fuzzy	fuzzy	ADJ
cana-1731	85	7	generalized	generalized	ADJ
cana-1731	85	8	semi	semi	ADJ
cana-1731	85	9	-	-	ADJ
cana-1731	85	10	pre	pre	ADJ
cana-1731	85	11	homeomorphism	homeomorphism	NOUN
cana-1731	85	12	when	when	SCONJ
cana-1731	85	13	q	q	NOUN
cana-1731	85	14	is	be	AUX
cana-1731	85	15	together	together	ADV
cana-1731	85	16	ifgsp	ifgsp	ADJ
cana-1731	85	17	continuous	continuous	ADJ
cana-1731	85	18	function	function	NOUN
cana-1731	85	19	also	also	ADV
cana-1731	85	20	ifgsp	ifgsp	VERB
cana-1731	85	21	closed	closed	ADJ
cana-1731	85	22	function	function	NOUN
cana-1731	85	23	.	.	PUNCT
cana-1731	86	1	pre	pre	VERB
cana-1731	86	2	-	-	ADJ
cana-1731	86	3	semi	semi	ADJ
cana-1731	86	4	homeomorphisms	homeomorphism	NOUN
cana-1731	86	5	generalized	generalized	ADJ
cana-1731	86	6	context	context	NOUN
cana-1731	86	7	of	of	ADP
cana-1731	86	8	intuitionistic	intuitionistic	ADJ
cana-1731	86	9	fuzzy	fuzzy	ADJ
cana-1731	86	10	topological	topological	ADJ
cana-1731	86	11	spaces	space	NOUN
cana-1731	86	12	authors	author	NOUN
cana-1731	86	13	proposed	propose	VERB
cana-1731	86	14	intuitionistic	intuitionistic	ADJ
cana-1731	86	15	fuzzy	fuzzy	ADJ
cana-1731	86	16	generalised	generalise	VERB
cana-1731	86	17	pre	pre	ADJ
cana-1731	86	18	-	-	ADJ
cana-1731	86	19	semi	semi	ADJ
cana-1731	86	20	homeomorphisms	homeomorphism	NOUN
cana-1731	86	21	in	in	ADP
cana-1731	86	22	this	this	DET
cana-1731	86	23	research	research	NOUN
cana-1731	86	24	also	also	ADV
cana-1731	86	25	looked	look	VERB
cana-1731	86	26	into	into	ADP
cana-1731	86	27	several	several	ADJ
cana-1731	86	28	features	feature	NOUN
cana-1731	86	29	.	.	PUNCT
cana-1731	87	1	communications	communication	NOUN
cana-1731	87	2	on	on	ADP
cana-1731	87	3	applied	apply	VERB
cana-1731	87	4	nonlinear	nonlinear	ADJ
cana-1731	87	5	analysis	analysis	NOUN
cana-1731	87	6	issn	issn	NOUN
cana-1731	87	7	:	:	PUNCT
cana-1731	87	8	1074	1074	NUM
cana-1731	87	9	-	-	PUNCT
cana-1731	87	10	133x	133x	NUM
cana-1731	87	11	vol	vol	NOUN
cana-1731	87	12	32	32	NUM
cana-1731	87	13	no	no	NOUN
cana-1731	87	14	.	.	NOUN
cana-1731	87	15	2	2	NUM
cana-1731	87	16	(	(	PUNCT
cana-1731	87	17	2025	2025	NUM
cana-1731	87	18	)	)	PUNCT
cana-1731	87	19	171	171	NUM
cana-1731	87	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1731	87	21	definition	definition	NOUN
cana-1731	87	22	23	23	NUM
cana-1731	87	23	:	:	PUNCT
cana-1731	87	24	if	if	SCONJ
cana-1731	87	25	q	q	X
cana-1731	87	26	:	:	PUNCT
cana-1731	87	27	(	(	PUNCT
cana-1731	87	28	a	a	X
cana-1731	87	29	,	,	PUNCT
cana-1731	87	30	τ	τ	PROPN
cana-1731	87	31	)	)	PUNCT
cana-1731	87	32	→	→	SYM
cana-1731	87	33	(	(	PUNCT
cana-1731	87	34	b	b	PROPN
cana-1731	87	35	,	,	PUNCT
cana-1731	87	36	σ	σ	PROPN
cana-1731	87	37	)	)	PUNCT
cana-1731	87	38	is	be	AUX
cana-1731	87	39	a	a	DET
cana-1731	87	40	bijective	bijective	ADJ
cana-1731	87	41	mapping	mapping	NOUN
cana-1731	87	42	.	.	PUNCT
cana-1731	88	1	then	then	ADV
cana-1731	88	2	q	q	X
cana-1731	88	3	is	be	AUX
cana-1731	88	4	called	call	VERB
cana-1731	88	5	as	as	ADP
cana-1731	88	6	intuitionistic	intuitionistic	ADJ
cana-1731	88	7	fuzzy	fuzzy	ADJ
cana-1731	88	8	generalized	generalize	VERB
cana-1731	88	9	pre	pre	NOUN
cana-1731	88	10	semi	semi	ADV
cana-1731	88	11	homeomorphism	homeomorphism	PROPN
cana-1731	88	12	when	when	SCONJ
cana-1731	88	13	q	q	NOUN
cana-1731	88	14	is	be	AUX
cana-1731	88	15	both	both	PRON
cana-1731	88	16	an	an	DET
cana-1731	88	17	ifgp	ifgp	NOUN
cana-1731	88	18	set	set	VERB
cana-1731	88	19	constant	constant	ADJ
cana-1731	88	20	plotting	plotting	NOUN
cana-1731	88	21	and	and	CCONJ
cana-1731	88	22	ifgp	ifgp	NOUN
cana-1731	88	23	set	set	VERB
cana-1731	88	24	closed	closed	ADJ
cana-1731	88	25	plotting	plotting	NOUN
cana-1731	88	26	.	.	PUNCT
cana-1731	89	1	for	for	ADP
cana-1731	89	2	the	the	DET
cana-1731	89	3	sake	sake	NOUN
cana-1731	89	4	of	of	ADP
cana-1731	89	5	clarity	clarity	NOUN
cana-1731	89	6	,	,	PUNCT
cana-1731	89	7	consider	consider	VERB
cana-1731	89	8	the	the	DET
cana-1731	89	9	details	detail	NOUN
cana-1731	89	10	u=	u=	ADV
cana-1731	89	11	〈	〈	ADV
cana-1731	89	12	a	a	NOUN
cana-1731	89	13	,	,	PUNCT
cana-1731	89	14	(	(	PUNCT
cana-1731	89	15	µ	µ	X
cana-1731	89	16	,	,	PUNCT
cana-1731	89	17	µ	µ	NOUN
cana-1731	89	18	)	)	PUNCT
cana-1731	89	19	,	,	PUNCT
cana-1731	89	20	(	(	PUNCT
cana-1731	89	21	ν	ν	X
cana-1731	89	22	,	,	PUNCT
cana-1731	89	23	ν	ν	NOUN
cana-1731	89	24	)	)	PUNCT
cana-1731	89	25	〉	〉	NOUN
cana-1731	89	26	as	as	ADP
cana-1731	89	27	a	a	DET
cana-1731	89	28	substitute	substitute	NOUN
cana-1731	89	29	associated	associate	VERB
cana-1731	89	30	u=	u=	ADV
cana-1731	89	31	〈	〈	PROPN
cana-1731	89	32	a,(u	a,(u	ADJ
cana-1731	89	33	/	/	SYM
cana-1731	89	34	μu	μu	PROPN
cana-1731	89	35	,	,	PUNCT
cana-1731	89	36	v	v	NOUN
cana-1731	89	37	/	/	SYM
cana-1731	89	38	μv	μv	NOUN
cana-1731	89	39	)	)	PUNCT
cana-1731	89	40	,	,	PUNCT
cana-1731	89	41	(	(	PUNCT
cana-1731	89	42	u	u	NOUN
cana-1731	89	43	/	/	SYM
cana-1731	89	44	νu	νu	PROPN
cana-1731	89	45	,	,	PUNCT
cana-1731	89	46	v	v	NOUN
cana-1731	89	47	/	/	SYM
cana-1731	89	48	νv	νv	PRON
cana-1731	89	49	)	)	PUNCT
cana-1731	89	50	〉	〉	NOUN
cana-1731	89	51	has	have	VERB
cana-1731	89	52	all	all	DET
cana-1731	89	53	samples	sample	NOUN
cana-1731	89	54	used	use	VERB
cana-1731	89	55	in	in	ADP
cana-1731	89	56	this	this	DET
cana-1731	89	57	paper	paper	NOUN
cana-1731	89	58	.	.	PUNCT
cana-1731	90	1	correspondingly	correspondingly	ADV
cana-1731	90	2	v=	v=	VERB
cana-1731	90	3	〈	〈	ADV
cana-1731	90	4	a	a	NOUN
cana-1731	90	5	,	,	PUNCT
cana-1731	90	6	(	(	PUNCT
cana-1731	90	7	µ	µ	X
cana-1731	90	8	,	,	PUNCT
cana-1731	90	9	µ	µ	NOUN
cana-1731	90	10	)	)	PUNCT
cana-1731	90	11	,	,	PUNCT
cana-1731	90	12	(	(	PUNCT
cana-1731	90	13	ν	ν	X
cana-1731	90	14	,	,	PUNCT
cana-1731	90	15	ν	ν	NOUN
cana-1731	90	16	)	)	PUNCT
cana-1731	90	17	〉	〉	NOUN
cana-1731	90	18	as	as	ADP
cana-1731	90	19	a	a	DET
cana-1731	90	20	substitute	substitute	NOUN
cana-1731	90	21	has	have	AUX
cana-1731	90	22	v=	v=	NOUN
cana-1731	90	23	〈	〈	NOUN
cana-1731	90	24	a,(a	a,(a	X
cana-1731	90	25	/	/	SYM
cana-1731	90	26	μa	μa	NOUN
cana-1731	90	27	,	,	PUNCT
cana-1731	90	28	b	b	X
cana-1731	90	29	/	/	SYM
cana-1731	90	30	μb	μb	PROPN
cana-1731	90	31	)	)	PUNCT
cana-1731	90	32	,	,	PUNCT
cana-1731	90	33	(	(	PUNCT
cana-1731	90	34	a	a	X
cana-1731	90	35	/	/	SYM
cana-1731	90	36	νa	νa	NOUN
cana-1731	90	37	,	,	PUNCT
cana-1731	90	38	b	b	X
cana-1731	90	39	/	/	SYM
cana-1731	90	40	νb	νb	NOUN
cana-1731	90	41	)	)	PUNCT
cana-1731	90	42	〉	〉	NOUN
cana-1731	90	43	has	have	VERB
cana-1731	90	44	subsequent	subsequent	ADJ
cana-1731	90	45	samples	sample	NOUN
cana-1731	90	46	.	.	PUNCT
cana-1731	91	1	definition	definition	NOUN
cana-1731	91	2	24	24	NUM
cana-1731	91	3	:	:	PUNCT
cana-1731	91	4	if	if	SCONJ
cana-1731	91	5	u	u	NOUN
cana-1731	91	6	is	be	AUX
cana-1731	91	7	if	if	SCONJ
cana-1731	91	8	set	set	VERB
cana-1731	91	9	in	in	ADP
cana-1731	91	10	an	an	DET
cana-1731	91	11	ift	ift	NOUN
cana-1731	91	12	set	set	NOUN
cana-1731	91	13	(	(	PUNCT
cana-1731	91	14	a	a	PRON
cana-1731	91	15	,	,	PUNCT
cana-1731	91	16	τ	τ	PROPN
cana-1731	91	17	)	)	PUNCT
cana-1731	91	18	.	.	PUNCT
cana-1731	92	1	formerly	formerly	ADV
cana-1731	92	2	comprehensive	comprehensive	ADJ
cana-1731	92	3	pre	pre	ADJ
cana-1731	92	4	-	-	ADJ
cana-1731	92	5	semi	semi	ADJ
cana-1731	92	6	inside	inside	ADV
cana-1731	92	7	has	have	AUX
cana-1731	92	8	u	u	NOUN
cana-1731	92	9	also	also	ADV
cana-1731	92	10	generalized	generalize	VERB
cana-1731	92	11	pre	pre	ADJ
cana-1731	92	12	-	-	ADJ
cana-1731	92	13	semi	semi	ADJ
cana-1731	92	14	conclusion	conclusion	NOUN
cana-1731	92	15	has	have	AUX
cana-1731	92	16	u	u	PRON
cana-1731	92	17	be	be	AUX
cana-1731	92	18	demarcated	demarcate	VERB
cana-1731	92	19	with	with	ADP
cana-1731	92	20	(	(	PUNCT
cana-1731	92	21	i	i	NOUN
cana-1731	92	22	)	)	PUNCT
cana-1731	92	23	gpsin	gpsin	PROPN
cana-1731	92	24	(	(	PUNCT
cana-1731	92	25	u	u	NOUN
cana-1731	92	26	)	)	PUNCT
cana-1731	92	27	=	=	SYM
cana-1731	93	1	∪	∪	NOUN
cana-1731	93	2	{	{	PUNCT
cana-1731	93	3	e	e	NOUN
cana-1731	93	4	/	/	SYM
cana-1731	93	5	e	e	NOUN
cana-1731	93	6	be	be	AUX
cana-1731	93	7	ifgps	ifgps	NOUN
cana-1731	93	8	open	open	ADJ
cana-1731	93	9	set	set	NOUN
cana-1731	93	10	has	have	VERB
cana-1731	93	11	a	a	DET
cana-1731	93	12	also	also	ADV
cana-1731	93	13	e	e	NOUN
cana-1731	93	14	⊆u	⊆u	VERB
cana-1731	93	15	}	}	PUNCT
cana-1731	93	16	.	.	PUNCT
cana-1731	94	1	(	(	PUNCT
cana-1731	94	2	ii	ii	NOUN
cana-1731	94	3	)	)	PUNCT
cana-1731	94	4	gpsc	gpsc	NOUN
cana-1731	94	5	(	(	PUNCT
cana-1731	94	6	u	u	NOUN
cana-1731	94	7	)	)	PUNCT
cana-1731	94	8	=	=	SYM
cana-1731	94	9	∩	∩	NOUN
cana-1731	94	10	{	{	PUNCT
cana-1731	94	11	f	f	PROPN
cana-1731	94	12	/	/	SYM
cana-1731	94	13	f	f	PROPN
cana-1731	94	14	be	be	AUX
cana-1731	94	15	ifgps	ifgp	NOUN
cana-1731	94	16	closed	close	VERB
cana-1731	94	17	set	set	VERB
cana-1731	94	18	has	have	VERB
cana-1731	94	19	a	a	DET
cana-1731	94	20	also	also	ADV
cana-1731	94	21	u	u	PRON
cana-1731	94	22	⊆f	⊆f	VERB
cana-1731	94	23	}	}	PUNCT
cana-1731	94	24	.	.	PUNCT
cana-1731	95	1	note	note	VERB
cana-1731	95	2	that	that	SCONJ
cana-1731	95	3	for	for	ADP
cana-1731	95	4	any	any	PRON
cana-1731	95	5	if	if	SCONJ
cana-1731	95	6	set	set	VERB
cana-1731	95	7	u	u	NOUN
cana-1731	95	8	in	in	ADP
cana-1731	95	9	(	(	PUNCT
cana-1731	95	10	a	a	PRON
cana-1731	95	11	,	,	PUNCT
cana-1731	95	12	τ	τ	PROPN
cana-1731	95	13	)	)	PUNCT
cana-1731	95	14	,	,	PUNCT
cana-1731	95	15	we	we	PRON
cana-1731	95	16	have	have	VERB
cana-1731	95	17	gpsc(uc	gpsc(uc	NOUN
cana-1731	95	18	)	)	PUNCT
cana-1731	95	19	=	=	SYM
cana-1731	95	20	(	(	PUNCT
cana-1731	95	21	gpsin(u))c	gpsin(u))c	ADJ
cana-1731	95	22	and	and	CCONJ
cana-1731	95	23	gpsin(uc	gpsin(uc	NOUN
cana-1731	95	24	)	)	PUNCT
cana-1731	96	1	=	=	SYM
cana-1731	96	2	(	(	PUNCT
cana-1731	96	3	gpsc(u))c	gpsc(u))c	PROPN
cana-1731	96	4	.	.	PUNCT
cana-1731	97	1	theorem	theorem	VERB
cana-1731	97	2	25	25	NUM
cana-1731	97	3	:	:	PUNCT
cana-1731	97	4	each	each	DET
cana-1731	97	5	intuitionistic	intuitionistic	ADJ
cana-1731	97	6	fuzzy	fuzzy	ADJ
cana-1731	97	7	homeomorphism	homeomorphism	NOUN
cana-1731	97	8	is	be	AUX
cana-1731	97	9	an	an	DET
cana-1731	97	10	intuitionistic	intuitionistic	ADJ
cana-1731	97	11	fuzzy	fuzzy	ADJ
cana-1731	97	12	generalised	generalise	VERB
cana-1731	97	13	pre	pre	ADJ
cana-1731	97	14	-	-	ADJ
cana-1731	97	15	semi	semi	ADJ
cana-1731	97	16	homeomorphisms	homeomorphism	NOUN
cana-1731	97	17	.	.	PUNCT
cana-1731	98	1	proof	proof	NOUN
cana-1731	98	2	:	:	PUNCT
cana-1731	98	3	if	if	SCONJ
cana-1731	98	4	q	q	X
cana-1731	98	5	:	:	PUNCT
cana-1731	98	6	(	(	PUNCT
cana-1731	98	7	a	a	X
cana-1731	98	8	,	,	PUNCT
cana-1731	98	9	τ	τ	PROPN
cana-1731	98	10	)	)	PUNCT
cana-1731	98	11	→	→	SYM
cana-1731	98	12	(	(	PUNCT
cana-1731	98	13	b	b	PROPN
cana-1731	98	14	,	,	PUNCT
cana-1731	98	15	σ	σ	PROPN
cana-1731	98	16	)	)	PUNCT
cana-1731	98	17	is	be	AUX
cana-1731	98	18	an	an	DET
cana-1731	98	19	ifhm	ifhm	NOUN
cana-1731	98	20	.	.	PUNCT
cana-1731	99	1	formerly	formerly	ADV
cana-1731	99	2	q	q	PUNCT
cana-1731	99	3	be	be	AUX
cana-1731	99	4	if	if	SCONJ
cana-1731	99	5	continuous	continuous	ADJ
cana-1731	99	6	also	also	ADV
cana-1731	99	7	if	if	SCONJ
cana-1731	99	8	closed	close	VERB
cana-1731	99	9	.	.	PUNCT
cana-1731	100	1	given	give	VERB
cana-1731	100	2	that	that	SCONJ
cana-1731	100	3	each	each	DET
cana-1731	100	4	function	function	NOUN
cana-1731	100	5	that	that	PRON
cana-1731	100	6	is	be	AUX
cana-1731	100	7	continuous	continuous	ADJ
cana-1731	100	8	within	within	ADP
cana-1731	100	9	the	the	DET
cana-1731	100	10	realm	realm	NOUN
cana-1731	100	11	of	of	ADP
cana-1731	100	12	intuitionistic	intuitionistic	ADJ
cana-1731	100	13	fuzzy	fuzzy	ADJ
cana-1731	100	14	(	(	PUNCT
cana-1731	100	15	if	if	SCONJ
cana-1731	100	16	)	)	PUNCT
cana-1731	100	17	be	be	AUX
cana-1731	100	18	ifgp	ifgp	VERB
cana-1731	100	19	set	set	VERB
cana-1731	100	20	continuous	continuous	ADJ
cana-1731	100	21	,	,	PUNCT
cana-1731	100	22	also	also	ADV
cana-1731	100	23	all	all	DET
cana-1731	100	24	if	if	SCONJ
cana-1731	100	25	closed	closed	ADJ
cana-1731	100	26	mapping	mapping	NOUN
cana-1731	100	27	be	be	AUX
cana-1731	100	28	ifgp	ifgp	VERB
cana-1731	100	29	set	set	VERB
cana-1731	100	30	closed	closed	ADJ
cana-1731	100	31	plot	plot	NOUN
cana-1731	100	32	,	,	PUNCT
cana-1731	100	33	q	q	PUNCT
cana-1731	100	34	be	be	AUX
cana-1731	100	35	ifgp	ifgp	VERB
cana-1731	100	36	set	set	VERB
cana-1731	100	37	continuous	continuous	ADJ
cana-1731	100	38	also	also	ADV
cana-1731	100	39	ifgp	ifgp	NOUN
cana-1731	100	40	set	set	VERB
cana-1731	100	41	closed	closed	ADJ
cana-1731	100	42	.	.	PUNCT
cana-1731	101	1	therefore	therefore	ADV
cana-1731	101	2	q	q	X
cana-1731	101	3	is	be	AUX
cana-1731	101	4	intuitionistic	intuitionistic	ADJ
cana-1731	101	5	fuzzy	fuzzy	ADJ
cana-1731	101	6	generalised	generalise	VERB
cana-1731	101	7	pre	pre	ADJ
cana-1731	101	8	-	-	ADJ
cana-1731	101	9	semi	semi	ADJ
cana-1731	101	10	homeomorphisms	homeomorphisms	PROPN
cana-1731	101	11	.	.	PUNCT
cana-1731	101	12	example	example	NOUN
cana-1731	102	1	26	26	NUM
cana-1731	102	2	:	:	PUNCT
cana-1731	102	3	let	let	VERB
cana-1731	102	4	a	a	DET
cana-1731	102	5	=	=	SYM
cana-1731	102	6	{	{	PUNCT
cana-1731	102	7	u	u	NOUN
cana-1731	102	8	,	,	PUNCT
cana-1731	102	9	v	v	NOUN
cana-1731	102	10	}	}	PUNCT
cana-1731	102	11	,	,	PUNCT
cana-1731	102	12	b	b	X
cana-1731	102	13	=	=	PUNCT
cana-1731	102	14	{	{	PUNCT
cana-1731	102	15	a	a	PRON
cana-1731	102	16	,	,	PUNCT
cana-1731	102	17	b	b	NOUN
cana-1731	102	18	}	}	PUNCT
cana-1731	102	19	and	and	CCONJ
cana-1731	102	20	e1	e1	NOUN
cana-1731	102	21	=	=	PUNCT
cana-1731	103	1	〈	〈	NOUN
cana-1731	103	2	a	a	NOUN
cana-1731	103	3	,	,	PUNCT
cana-1731	103	4	(	(	PUNCT
cana-1731	103	5	0.5	0.5	NUM
cana-1731	103	6	,	,	PUNCT
cana-1731	103	7	0.6	0.6	NUM
cana-1731	103	8	)	)	PUNCT
cana-1731	103	9	,	,	PUNCT
cana-1731	103	10	(	(	PUNCT
cana-1731	103	11	0.3	0.3	NUM
cana-1731	103	12	,	,	PUNCT
cana-1731	103	13	0.1	0.1	NUM
cana-1731	103	14	)	)	PUNCT
cana-1731	103	15	〉	〉	NOUN
cana-1731	103	16	,	,	PUNCT
cana-1731	103	17	e2	e2	NOUN
cana-1731	103	18	=	=	PUNCT
cana-1731	103	19	〈	〈	PROPN
cana-1731	103	20	b	b	PROPN
cana-1731	103	21	,	,	PUNCT
cana-1731	103	22	(	(	PUNCT
cana-1731	103	23	0.4	0.4	NUM
cana-1731	103	24	,	,	PUNCT
cana-1731	103	25	0.3	0.3	NUM
cana-1731	103	26	)	)	PUNCT
cana-1731	103	27	,	,	PUNCT
cana-1731	103	28	(	(	PUNCT
cana-1731	103	29	0.4	0.4	NUM
cana-1731	103	30	,	,	PUNCT
cana-1731	103	31	0.5	0.5	NUM
cana-1731	103	32	)	)	PUNCT
cana-1731	103	33	〉	〉	NOUN
cana-1731	103	34	.	.	PUNCT
cana-1731	104	1	next	next	ADJ
cana-1731	104	2	τ	τ	X
cana-1731	104	3	=	=	SYM
cana-1731	104	4	{	{	PUNCT
cana-1731	104	5	0~	0~	NOUN
cana-1731	104	6	,	,	PUNCT
cana-1731	104	7	e1	e1	NOUN
cana-1731	104	8	,	,	PUNCT
cana-1731	104	9	1~	1~	NUM
cana-1731	104	10	}	}	PUNCT
cana-1731	104	11	also	also	ADV
cana-1731	104	12	σ	σ	NOUN
cana-1731	104	13	=	=	PUNCT
cana-1731	104	14	{	{	PUNCT
cana-1731	104	15	0~	0~	NOUN
cana-1731	104	16	,	,	PUNCT
cana-1731	104	17	e2	e2	PROPN
cana-1731	104	18	,	,	PUNCT
cana-1731	104	19	1~	1~	NUM
cana-1731	104	20	}	}	PUNCT
cana-1731	104	21	be	be	VERB
cana-1731	104	22	ifts	ift	NOUN
cana-1731	104	23	happening	happen	VERB
cana-1731	104	24	x	x	PROPN
cana-1731	104	25	&	&	CCONJ
cana-1731	104	26	y	y	PROPN
cana-1731	104	27	correspondingly	correspondingly	ADV
cana-1731	104	28	.	.	PUNCT
cana-1731	105	1	describe	describe	VERB
cana-1731	105	2	bijective	bijective	ADJ
cana-1731	105	3	function	function	NOUN
cana-1731	105	4	q	q	PROPN
cana-1731	105	5	:	:	PUNCT
cana-1731	105	6	(	(	PUNCT
cana-1731	105	7	a	a	X
cana-1731	105	8	,	,	PUNCT
cana-1731	105	9	τ	τ	PROPN
cana-1731	105	10	)	)	PUNCT
cana-1731	105	11	→	→	SYM
cana-1731	105	12	(	(	PUNCT
cana-1731	105	13	b	b	PROPN
cana-1731	105	14	,	,	PUNCT
cana-1731	105	15	σ	σ	PROPN
cana-1731	105	16	)	)	PUNCT
cana-1731	105	17	via	via	ADP
cana-1731	105	18	q(a	q(a	NOUN
cana-1731	105	19	)	)	PUNCT
cana-1731	105	20	=	=	SYM
cana-1731	105	21	a	a	DET
cana-1731	105	22	also	also	ADV
cana-1731	105	23	q(v	q(v	NOUN
cana-1731	105	24	)	)	PUNCT
cana-1731	106	1	=	=	SYM
cana-1731	106	2	b.	b.	PROPN
cana-1731	106	3	then	then	ADV
cana-1731	106	4	q	q	AUX
cana-1731	106	5	be	be	AUX
cana-1731	106	6	intuitionistic	intuitionistic	ADJ
cana-1731	106	7	fuzzy	fuzzy	ADJ
cana-1731	106	8	generalised	generalise	VERB
cana-1731	106	9	presemi	presemi	ADJ
cana-1731	106	10	homeomorphisms	homeomorphism	NOUN
cana-1731	106	11	except	except	SCONJ
cana-1731	106	12	intuitionistic	intuitionistic	ADJ
cana-1731	106	13	fuzzy	fuzzy	ADJ
cana-1731	106	14	homeomorphisms	homeomorphism	NOUN
cana-1731	106	15	.	.	PUNCT
cana-1731	107	1	theorem	theorem	VERB
cana-1731	107	2	27	27	NUM
cana-1731	107	3	:	:	PUNCT
cana-1731	107	4	every	every	DET
cana-1731	107	5	intuitionistic	intuitionistic	ADJ
cana-1731	107	6	fuzzy	fuzzy	ADJ
cana-1731	107	7	α	α	PROPN
cana-1731	107	8	homeomorphisms	homeomorphisms	PROPN
cana-1731	107	9	is	be	AUX
cana-1731	107	10	intuitionistic	intuitionistic	ADJ
cana-1731	107	11	fuzzy	fuzzy	ADJ
cana-1731	107	12	generalised	generalise	VERB
cana-1731	107	13	pre	pre	ADJ
cana-1731	107	14	-	-	ADJ
cana-1731	107	15	semi	semi	ADJ
cana-1731	107	16	homeomorphisms	homeomorphism	NOUN
cana-1731	107	17	.	.	PUNCT
cana-1731	108	1	proof	proof	NOUN
cana-1731	108	2	:	:	PUNCT
cana-1731	108	3	if	if	SCONJ
cana-1731	108	4	q	q	X
cana-1731	108	5	:	:	PUNCT
cana-1731	108	6	(	(	PUNCT
cana-1731	108	7	a	a	X
cana-1731	108	8	,	,	PUNCT
cana-1731	108	9	τ	τ	PROPN
cana-1731	108	10	)	)	PUNCT
cana-1731	108	11	→	→	SYM
cana-1731	108	12	(	(	PUNCT
cana-1731	108	13	b	b	PROPN
cana-1731	108	14	,	,	PUNCT
cana-1731	108	15	σ	σ	PROPN
cana-1731	108	16	)	)	PUNCT
cana-1731	108	17	is	be	AUX
cana-1731	108	18	intuitionistic	intuitionistic	ADJ
cana-1731	108	19	fuzzy	fuzzy	ADJ
cana-1731	108	20	α	α	PROPN
cana-1731	108	21	homeomorphisms	homeomorphisms	PROPN
cana-1731	108	22	.	.	PUNCT
cana-1731	109	1	then	then	ADV
cana-1731	109	2	q	q	PUNCT
cana-1731	109	3	be	be	AUX
cana-1731	109	4	ifα	ifα	ADV
cana-1731	109	5	continuous	continuous	ADJ
cana-1731	109	6	also	also	ADV
cana-1731	109	7	ifα	ifα	NOUN
cana-1731	109	8	closed	close	VERB
cana-1731	109	9	.	.	PUNCT
cana-1731	110	1	subsequently	subsequently	ADV
cana-1731	110	2	all	all	DET
cana-1731	110	3	ifα	ifα	ADJ
cana-1731	110	4	nonstop	nonstop	ADJ
cana-1731	110	5	mapping	mapping	NOUN
cana-1731	110	6	is	be	AUX
cana-1731	110	7	ifgp	ifgp	VERB
cana-1731	110	8	set	set	VERB
cana-1731	110	9	continuous	continuous	ADJ
cana-1731	110	10	also	also	ADV
cana-1731	110	11	all	all	DET
cana-1731	110	12	ifα	ifα	ADV
cana-1731	110	13	closed	closed	ADJ
cana-1731	110	14	mapping	mapping	NOUN
cana-1731	110	15	is	be	AUX
cana-1731	110	16	ifgp	ifgp	VERB
cana-1731	110	17	set	set	VERB
cana-1731	110	18	closed	closed	ADJ
cana-1731	110	19	plotting	plotting	NOUN
cana-1731	110	20	,	,	PUNCT
cana-1731	110	21	q	q	PUNCT
cana-1731	110	22	be	be	AUX
cana-1731	110	23	ifgp	ifgp	VERB
cana-1731	110	24	set	set	VERB
cana-1731	110	25	continuous	continuous	ADJ
cana-1731	110	26	and	and	CCONJ
cana-1731	110	27	ifgps	ifgp	NOUN
cana-1731	110	28	closed	close	VERB
cana-1731	110	29	.	.	PUNCT
cana-1731	111	1	therefore	therefore	ADV
cana-1731	111	2	q	q	X
cana-1731	111	3	is	be	AUX
cana-1731	111	4	intuitionistic	intuitionistic	ADJ
cana-1731	111	5	fuzzy	fuzzy	ADJ
cana-1731	111	6	generalised	generalise	VERB
cana-1731	111	7	pre	pre	ADJ
cana-1731	111	8	-	-	ADJ
cana-1731	111	9	semi	semi	ADJ
cana-1731	111	10	homeomorphisms	homeomorphism	NOUN
cana-1731	111	11	.	.	PUNCT
cana-1731	112	1	communications	communication	NOUN
cana-1731	112	2	on	on	ADP
cana-1731	112	3	applied	apply	VERB
cana-1731	112	4	nonlinear	nonlinear	ADJ
cana-1731	112	5	analysis	analysis	NOUN
cana-1731	112	6	issn	issn	NOUN
cana-1731	112	7	:	:	PUNCT
cana-1731	112	8	1074	1074	NUM
cana-1731	112	9	-	-	PUNCT
cana-1731	112	10	133x	133x	NUM
cana-1731	112	11	vol	vol	NOUN
cana-1731	112	12	32	32	NUM
cana-1731	112	13	no	no	NOUN
cana-1731	112	14	.	.	NOUN
cana-1731	112	15	2	2	NUM
cana-1731	112	16	(	(	PUNCT
cana-1731	112	17	2025	2025	NUM
cana-1731	112	18	)	)	PUNCT
cana-1731	113	1	172	172	NUM
cana-1731	113	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-1731	113	3	example	example	NOUN
cana-1731	113	4	28	28	NUM
cana-1731	113	5	:	:	PUNCT
cana-1731	113	6	in	in	ADP
cana-1731	113	7	the	the	DET
cana-1731	113	8	given	give	VERB
cana-1731	113	9	instance	instance	NOUN
cana-1731	113	10	bijective	bijective	ADJ
cana-1731	113	11	mapping	mapping	NOUN
cana-1731	113	12	q	q	NOUN
cana-1731	113	13	:	:	PUNCT
cana-1731	113	14	(	(	PUNCT
cana-1731	113	15	a	a	X
cana-1731	113	16	,	,	PUNCT
cana-1731	113	17	τ	τ	PROPN
cana-1731	113	18	)	)	PUNCT
cana-1731	113	19	→	→	SYM
cana-1731	113	20	(	(	PUNCT
cana-1731	113	21	b	b	PROPN
cana-1731	113	22	,	,	PUNCT
cana-1731	113	23	σ	σ	NOUN
cana-1731	113	24	)	)	PUNCT
cana-1731	113	25	in	in	ADP
cana-1731	113	26	q(u	q(u	NOUN
cana-1731	113	27	)	)	PUNCT
cana-1731	113	28	=	=	SYM
cana-1731	113	29	a	a	DET
cana-1731	113	30	also	also	ADV
cana-1731	113	31	q(v	q(v	NOUN
cana-1731	113	32	)	)	PUNCT
cana-1731	114	1	=	=	SYM
cana-1731	114	2	b	b	NOUN
cana-1731	114	3	termed	term	VERB
cana-1731	114	4	as	as	ADP
cana-1731	114	5	intuitionistic	intuitionistic	ADJ
cana-1731	114	6	fuzzy	fuzzy	ADJ
cana-1731	114	7	generalised	generalise	VERB
cana-1731	114	8	pre	pre	ADJ
cana-1731	114	9	-	-	ADJ
cana-1731	114	10	semi	semi	ADJ
cana-1731	114	11	homeomorphisms	homeomorphism	NOUN
cana-1731	114	12	.	.	PUNCT
cana-1731	115	1	but	but	CCONJ
cana-1731	115	2	not	not	PART
cana-1731	115	3	intuitionistic	intuitionistic	ADJ
cana-1731	115	4	fuzzy	fuzzy	ADJ
cana-1731	115	5	simplified	simplify	VERB
cana-1731	115	6	α	α	PROPN
cana-1731	115	7	homeomorphisms	homeomorphisms	PROPN
cana-1731	115	8	.	.	PUNCT
cana-1731	116	1	theorem	theorem	NOUN
cana-1731	116	2	29	29	NUM
cana-1731	116	3	:	:	PUNCT
cana-1731	116	4	every	every	DET
cana-1731	116	5	intuitionistic	intuitionistic	ADJ
cana-1731	116	6	fuzzy	fuzzy	ADJ
cana-1731	116	7	generalised	generalise	VERB
cana-1731	116	8	pre	pre	ADJ
cana-1731	116	9	-	-	ADJ
cana-1731	116	10	semi	semi	ADJ
cana-1731	116	11	homeomorphisms	homeomorphism	NOUN
cana-1731	116	12	be	be	AUX
cana-1731	116	13	intuitionistic	intuitionistic	ADJ
cana-1731	116	14	fuzzy	fuzzy	ADJ
cana-1731	116	15	generalised	generalise	VERB
cana-1731	116	16	semi	semi	ADJ
cana-1731	116	17	-	-	ADJ
cana-1731	116	18	pre	pre	ADJ
cana-1731	116	19	regular	regular	ADJ
cana-1731	116	20	homeomorphisms	homeomorphism	NOUN
cana-1731	116	21	.	.	PUNCT
cana-1731	117	1	proof	proof	NOUN
cana-1731	117	2	:	:	PUNCT
cana-1731	117	3	assume	assume	VERB
cana-1731	117	4	q	q	X
cana-1731	117	5	:	:	PUNCT
cana-1731	117	6	(	(	PUNCT
cana-1731	117	7	a	a	X
cana-1731	117	8	,	,	PUNCT
cana-1731	117	9	τ	τ	PROPN
cana-1731	117	10	)	)	PUNCT
cana-1731	117	11	→	→	SYM
cana-1731	117	12	(	(	PUNCT
cana-1731	117	13	b	b	PROPN
cana-1731	117	14	,	,	PUNCT
cana-1731	117	15	σ	σ	PROPN
cana-1731	117	16	)	)	PUNCT
cana-1731	117	17	is	be	AUX
cana-1731	117	18	intuitionistic	intuitionistic	ADJ
cana-1731	117	19	fuzzy	fuzzy	ADJ
cana-1731	117	20	generalised	generalise	VERB
cana-1731	117	21	pre	pre	ADJ
cana-1731	117	22	-	-	ADJ
cana-1731	117	23	semi	semi	ADJ
cana-1731	117	24	homeomorphisms	homeomorphism	NOUN
cana-1731	117	25	.	.	PUNCT
cana-1731	118	1	then	then	ADV
cana-1731	118	2	q	q	PROPN
cana-1731	118	3	is	be	AUX
cana-1731	118	4	ifgp	ifgp	VERB
cana-1731	118	5	set	set	VERB
cana-1731	118	6	continuous	continuous	ADJ
cana-1731	118	7	and	and	CCONJ
cana-1731	118	8	ifgp	ifgp	ADJ
cana-1731	118	9	set	set	VERB
cana-1731	118	10	closed	closed	ADJ
cana-1731	118	11	.	.	PUNCT
cana-1731	119	1	given	give	VERB
cana-1731	119	2	that	that	SCONJ
cana-1731	119	3	every	every	DET
cana-1731	119	4	ifgp	ifgp	NOUN
cana-1731	119	5	set	set	VERB
cana-1731	119	6	continuous	continuous	ADJ
cana-1731	119	7	function	function	NOUN
cana-1731	119	8	be	be	AUX
cana-1731	119	9	ifgsp	ifgsp	ADJ
cana-1731	119	10	regular	regular	ADJ
cana-1731	119	11	continuous	continuous	ADJ
cana-1731	119	12	also	also	ADV
cana-1731	119	13	all	all	PRON
cana-1731	119	14	ifgp	ifgp	NOUN
cana-1731	119	15	set	set	VERB
cana-1731	119	16	closed	closed	ADJ
cana-1731	119	17	mapping	mapping	NOUN
cana-1731	119	18	be	be	AUX
cana-1731	119	19	ifgsp	ifgsp	ADJ
cana-1731	119	20	regular	regular	ADJ
cana-1731	119	21	closed	closed	ADJ
cana-1731	119	22	mapping	mapping	NOUN
cana-1731	119	23	,	,	PUNCT
cana-1731	119	24	q	q	PUNCT
cana-1731	119	25	is	be	AUX
cana-1731	119	26	ifgsp	ifgsp	ADJ
cana-1731	119	27	regular	regular	ADJ
cana-1731	119	28	continuous	continuous	ADJ
cana-1731	119	29	also	also	ADV
cana-1731	119	30	ifgsp	ifgsp	ADJ
cana-1731	119	31	regular	regular	ADJ
cana-1731	119	32	closed	closed	ADJ
cana-1731	119	33	.	.	PUNCT
cana-1731	120	1	thus	thus	ADV
cana-1731	120	2	q	q	PUNCT
cana-1731	120	3	be	be	AUX
cana-1731	120	4	intuitionistic	intuitionistic	ADJ
cana-1731	120	5	fuzzy	fuzzy	ADJ
cana-1731	120	6	generalised	generalise	VERB
cana-1731	120	7	semi	semi	ADJ
cana-1731	120	8	-	-	ADJ
cana-1731	120	9	pre	pre	ADJ
cana-1731	120	10	regular	regular	ADJ
cana-1731	120	11	homeomorphisms	homeomorphism	NOUN
cana-1731	120	12	.	.	PUNCT
cana-1731	120	13	example	example	NOUN
cana-1731	120	14	30	30	NUM
cana-1731	120	15	:	:	PUNCT
cana-1731	120	16	let	let	VERB
cana-1731	120	17	a	a	DET
cana-1731	120	18	=	=	SYM
cana-1731	120	19	{	{	PUNCT
cana-1731	120	20	u	u	NOUN
cana-1731	120	21	,	,	PUNCT
cana-1731	120	22	v	v	NOUN
cana-1731	120	23	}	}	PUNCT
cana-1731	120	24	,	,	PUNCT
cana-1731	120	25	b	b	X
cana-1731	120	26	=	=	PUNCT
cana-1731	120	27	{	{	PUNCT
cana-1731	120	28	a	a	PRON
cana-1731	120	29	,	,	PUNCT
cana-1731	120	30	b	b	NOUN
cana-1731	120	31	}	}	PUNCT
cana-1731	120	32	and	and	CCONJ
cana-1731	120	33	e1	e1	PROPN
cana-1731	120	34	=	=	SYM
cana-1731	120	35	〈	〈	PROPN
cana-1731	120	36	x	x	PROPN
cana-1731	120	37	,	,	PUNCT
cana-1731	120	38	(	(	PUNCT
cana-1731	120	39	0.3	0.3	NUM
cana-1731	120	40	,	,	PUNCT
cana-1731	120	41	0.2	0.2	NUM
cana-1731	120	42	)	)	PUNCT
cana-1731	120	43	,	,	PUNCT
cana-1731	120	44	(	(	PUNCT
cana-1731	120	45	0.7	0.7	NUM
cana-1731	120	46	,	,	PUNCT
cana-1731	120	47	0.8	0.8	NUM
cana-1731	120	48	)	)	PUNCT
cana-1731	120	49	〉	〉	NOUN
cana-1731	120	50	,	,	PUNCT
cana-1731	120	51	e2	e2	NOUN
cana-1731	120	52	=	=	PUNCT
cana-1731	120	53	〈	〈	PROPN
cana-1731	120	54	y	y	PROPN
cana-1731	120	55	,	,	PUNCT
cana-1731	120	56	(	(	PUNCT
cana-1731	120	57	0.5	0.5	NUM
cana-1731	120	58	,	,	PUNCT
cana-1731	120	59	0.6	0.6	NUM
cana-1731	120	60	)	)	PUNCT
cana-1731	120	61	,	,	PUNCT
cana-1731	120	62	(	(	PUNCT
cana-1731	120	63	0.5	0.5	NUM
cana-1731	120	64	,	,	PUNCT
cana-1731	120	65	0.4	0.4	NUM
cana-1731	120	66	)	)	PUNCT
cana-1731	120	67	〉	〉	NOUN
cana-1731	120	68	.	.	PUNCT
cana-1731	121	1	next	next	ADJ
cana-1731	121	2	τ	τ	X
cana-1731	121	3	=	=	SYM
cana-1731	121	4	{	{	PUNCT
cana-1731	121	5	0~	0~	NOUN
cana-1731	121	6	,	,	PUNCT
cana-1731	121	7	e1	e1	NOUN
cana-1731	121	8	,	,	PUNCT
cana-1731	121	9	1~	1~	NUM
cana-1731	121	10	}	}	PUNCT
cana-1731	121	11	also	also	ADV
cana-1731	121	12	σ	σ	NOUN
cana-1731	121	13	=	=	PUNCT
cana-1731	121	14	{	{	PUNCT
cana-1731	121	15	0~	0~	NOUN
cana-1731	121	16	,	,	PUNCT
cana-1731	121	17	e2	e2	PROPN
cana-1731	121	18	,	,	PUNCT
cana-1731	121	19	1~	1~	NUM
cana-1731	121	20	}	}	PUNCT
cana-1731	121	21	be	be	VERB
cana-1731	121	22	ifts	ift	NOUN
cana-1731	121	23	on	on	ADP
cana-1731	121	24	both	both	CCONJ
cana-1731	121	25	a	a	PRON
cana-1731	121	26	,	,	PUNCT
cana-1731	121	27	b	b	NOUN
cana-1731	121	28	in	in	ADP
cana-1731	121	29	that	that	DET
cana-1731	121	30	order	order	NOUN
cana-1731	121	31	.	.	PUNCT
cana-1731	122	1	describe	describe	VERB
cana-1731	122	2	a	a	DET
cana-1731	122	3	bijective	bijective	ADJ
cana-1731	122	4	mapping	mapping	NOUN
cana-1731	122	5	q	q	NOUN
cana-1731	122	6	:	:	PUNCT
cana-1731	122	7	(	(	PUNCT
cana-1731	122	8	a	a	X
cana-1731	122	9	,	,	PUNCT
cana-1731	122	10	τ	τ	PROPN
cana-1731	122	11	)	)	PUNCT
cana-1731	122	12	→	→	SYM
cana-1731	122	13	(	(	PUNCT
cana-1731	122	14	b	b	PROPN
cana-1731	122	15	,	,	PUNCT
cana-1731	122	16	σ	σ	PROPN
cana-1731	122	17	)	)	PUNCT
cana-1731	122	18	via	via	ADP
cana-1731	122	19	q(u	q(u	NOUN
cana-1731	122	20	)	)	PUNCT
cana-1731	122	21	=	=	SYM
cana-1731	122	22	a	a	PRON
cana-1731	122	23	and	and	CCONJ
cana-1731	122	24	q(v	q(v	NOUN
cana-1731	122	25	)	)	PUNCT
cana-1731	123	1	=	=	PUNCT
cana-1731	123	2	b.	b.	PROPN
cana-1731	123	3	afterwards	afterwards	ADV
cana-1731	123	4	q	q	NOUN
cana-1731	123	5	is	be	AUX
cana-1731	123	6	intuitionistic	intuitionistic	ADJ
cana-1731	123	7	fuzzy	fuzzy	ADJ
cana-1731	123	8	generalised	generalise	VERB
cana-1731	123	9	semipre	semipre	VERB
cana-1731	123	10	regular	regular	ADJ
cana-1731	123	11	homeomorphisms	homeomorphism	NOUN
cana-1731	123	12	but	but	CCONJ
cana-1731	123	13	not	not	PART
cana-1731	123	14	intuitionistic	intuitionistic	ADJ
cana-1731	123	15	fuzzy	fuzzy	ADJ
cana-1731	123	16	generalised	generalise	VERB
cana-1731	123	17	pre	pre	ADJ
cana-1731	123	18	-	-	ADJ
cana-1731	123	19	semi	semi	ADJ
cana-1731	123	20	homeomorphisms	homeomorphisms	PROPN
cana-1731	123	21	.	.	PUNCT
cana-1731	124	1	theorem	theorem	NOUN
cana-1731	124	2	31	31	NUM
cana-1731	124	3	:	:	PUNCT
cana-1731	124	4	every	every	DET
cana-1731	124	5	intuitionistic	intuitionistic	ADJ
cana-1731	124	6	fuzzy	fuzzy	ADJ
cana-1731	124	7	generalised	generalise	VERB
cana-1731	124	8	pre	pre	ADJ
cana-1731	124	9	-	-	ADJ
cana-1731	124	10	semi	semi	ADJ
cana-1731	124	11	regular	regular	ADJ
cana-1731	124	12	homeomorphisms	homeomorphism	NOUN
cana-1731	124	13	is	be	AUX
cana-1731	124	14	intuitionistic	intuitionistic	ADJ
cana-1731	124	15	fuzzy	fuzzy	ADJ
cana-1731	124	16	generalised	generalise	VERB
cana-1731	124	17	semi	semi	ADJ
cana-1731	124	18	-	-	ADJ
cana-1731	124	19	pre	pre	ADJ
cana-1731	124	20	regular	regular	ADJ
cana-1731	124	21	homeomorphisms	homeomorphism	NOUN
cana-1731	124	22	.	.	PUNCT
cana-1731	125	1	proof	proof	NOUN
cana-1731	125	2	:	:	PUNCT
cana-1731	125	3	assume	assume	VERB
cana-1731	125	4	q	q	X
cana-1731	125	5	:	:	PUNCT
cana-1731	125	6	(	(	PUNCT
cana-1731	125	7	a	a	X
cana-1731	125	8	,	,	PUNCT
cana-1731	125	9	τ	τ	PROPN
cana-1731	125	10	)	)	PUNCT
cana-1731	125	11	→	→	SYM
cana-1731	125	12	(	(	PUNCT
cana-1731	125	13	b	b	PROPN
cana-1731	125	14	,	,	PUNCT
cana-1731	125	15	σ	σ	PROPN
cana-1731	125	16	)	)	PUNCT
cana-1731	125	17	be	be	AUX
cana-1731	125	18	intuitionistic	intuitionistic	ADJ
cana-1731	125	19	fuzzy	fuzzy	ADJ
cana-1731	125	20	generalised	generalise	VERB
cana-1731	125	21	pre	pre	ADJ
cana-1731	125	22	-	-	ADJ
cana-1731	125	23	semi	semi	ADJ
cana-1731	125	24	regular	regular	ADJ
cana-1731	125	25	homeomorphisms	homeomorphism	NOUN
cana-1731	125	26	intuitionistic	intuitionistic	ADJ
cana-1731	125	27	fuzzy	fuzzy	ADJ
cana-1731	125	28	generalised	generalise	VERB
cana-1731	125	29	semi	semi	ADJ
cana-1731	125	30	-	-	ADJ
cana-1731	125	31	pre	pre	ADJ
cana-1731	125	32	regular	regular	ADJ
cana-1731	125	33	homeomorphisms	homeomorphism	NOUN
cana-1731	125	34	.	.	PUNCT
cana-1731	126	1	next	next	ADJ
cana-1731	126	2	q	q	NOUN
cana-1731	126	3	is	be	AUX
cana-1731	126	4	ifgp	ifgp	VERB
cana-1731	126	5	set	set	VERB
cana-1731	126	6	continuous	continuous	ADJ
cana-1731	127	1	also	also	ADV
cana-1731	127	2	ifgp	ifgp	NOUN
cana-1731	127	3	set	set	VERB
cana-1731	127	4	closed	closed	ADJ
cana-1731	127	5	.	.	PUNCT
cana-1731	128	1	because	because	SCONJ
cana-1731	128	2	all	all	DET
cana-1731	128	3	ifgp	ifgp	NOUN
cana-1731	128	4	set	set	VERB
cana-1731	128	5	continuous	continuous	ADJ
cana-1731	128	6	function	function	NOUN
cana-1731	128	7	is	be	AUX
cana-1731	128	8	ifgsp	ifgsp	ADJ
cana-1731	128	9	continuous	continuous	ADJ
cana-1731	128	10	also	also	ADV
cana-1731	128	11	all	all	PRON
cana-1731	128	12	ifgp	ifgp	NOUN
cana-1731	128	13	set	set	VERB
cana-1731	128	14	closed	closed	ADJ
cana-1731	128	15	mapping	mapping	NOUN
cana-1731	128	16	be	be	AUX
cana-1731	128	17	ifgsp	ifgsp	ADJ
cana-1731	128	18	closed	closed	ADJ
cana-1731	128	19	function	function	NOUN
cana-1731	128	20	,	,	PUNCT
cana-1731	128	21	q	q	PUNCT
cana-1731	128	22	be	be	AUX
cana-1731	128	23	ifgsp	ifgsp	ADJ
cana-1731	128	24	continuous	continuous	ADJ
cana-1731	128	25	also	also	ADV
cana-1731	128	26	ifgsp	ifgsp	NOUN
cana-1731	128	27	closed	closed	ADJ
cana-1731	128	28	.	.	PUNCT
cana-1731	129	1	for	for	ADP
cana-1731	129	2	this	this	DET
cana-1731	129	3	reason	reason	NOUN
cana-1731	129	4	q	q	PUNCT
cana-1731	129	5	is	be	AUX
cana-1731	129	6	intuitionistic	intuitionistic	ADJ
cana-1731	129	7	fuzzy	fuzzy	ADJ
cana-1731	129	8	generalised	generalise	VERB
cana-1731	129	9	semi	semi	ADJ
cana-1731	129	10	-	-	ADJ
cana-1731	129	11	pre	pre	ADJ
cana-1731	129	12	regular	regular	ADJ
cana-1731	129	13	homeomorphisms	homeomorphism	NOUN
cana-1731	129	14	.	.	PUNCT
cana-1731	129	15	example	example	NOUN
cana-1731	129	16	32	32	NUM
cana-1731	129	17	:	:	PUNCT
cana-1731	129	18	illustration	illustration	NOUN
cana-1731	129	19	of	of	ADP
cana-1731	129	20	the	the	DET
cana-1731	129	21	bijective	bijective	ADJ
cana-1731	129	22	mapping	mapping	NOUN
cana-1731	129	23	q	q	NOUN
cana-1731	129	24	:	:	PUNCT
cana-1731	129	25	(	(	PUNCT
cana-1731	129	26	a	a	X
cana-1731	129	27	,	,	PUNCT
cana-1731	129	28	τ	τ	PROPN
cana-1731	129	29	)	)	PUNCT
cana-1731	129	30	→	→	SYM
cana-1731	129	31	(	(	PUNCT
cana-1731	129	32	b	b	PROPN
cana-1731	129	33	,	,	PUNCT
cana-1731	129	34	σ	σ	PROPN
cana-1731	129	35	)	)	PUNCT
cana-1731	129	36	by	by	ADP
cana-1731	129	37	means	mean	NOUN
cana-1731	129	38	of	of	ADP
cana-1731	129	39	q(u	q(u	NOUN
cana-1731	129	40	)	)	PUNCT
cana-1731	129	41	=	=	SYM
cana-1731	129	42	a	a	DET
cana-1731	129	43	also	also	ADV
cana-1731	129	44	q(v	q(v	NOUN
cana-1731	129	45	)	)	PUNCT
cana-1731	130	1	=	=	SYM
cana-1731	130	2	b	b	NOUN
cana-1731	130	3	termed	term	VERB
cana-1731	130	4	as	as	ADP
cana-1731	130	5	intuitionistic	intuitionistic	ADJ
cana-1731	130	6	fuzzy	fuzzy	ADJ
cana-1731	130	7	generalised	generalise	VERB
cana-1731	130	8	semi	semi	ADJ
cana-1731	130	9	-	-	ADJ
cana-1731	130	10	pre	pre	ADJ
cana-1731	130	11	regular	regular	ADJ
cana-1731	130	12	homeomorphisms	homeomorphism	NOUN
cana-1731	130	13	but	but	CCONJ
cana-1731	130	14	not	not	PART
cana-1731	130	15	intuitionistic	intuitionistic	ADJ
cana-1731	130	16	fuzzy	fuzzy	ADJ
cana-1731	130	17	generalised	generalise	VERB
cana-1731	130	18	pre	pre	ADJ
cana-1731	130	19	-	-	ADJ
cana-1731	130	20	semi	semi	ADJ
cana-1731	130	21	regular	regular	ADJ
cana-1731	130	22	homeomorphisms	homeomorphism	NOUN
cana-1731	130	23	.	.	PUNCT
cana-1731	131	1	theorem	theorem	NOUN
cana-1731	131	2	33	33	NUM
cana-1731	131	3	:	:	PUNCT
cana-1731	131	4	let	let	VERB
cana-1731	131	5	q	q	X
cana-1731	131	6	:	:	PUNCT
cana-1731	131	7	(	(	PUNCT
cana-1731	131	8	a	a	X
cana-1731	131	9	,	,	PUNCT
cana-1731	131	10	τ	τ	PROPN
cana-1731	131	11	)	)	PUNCT
cana-1731	131	12	→	→	SYM
cana-1731	131	13	(	(	PUNCT
cana-1731	131	14	b	b	PROPN
cana-1731	131	15	,	,	PUNCT
cana-1731	131	16	σ	σ	PROPN
cana-1731	131	17	)	)	PUNCT
cana-1731	131	18	be	be	AUX
cana-1731	131	19	intuitionistic	intuitionistic	ADJ
cana-1731	131	20	fuzzy	fuzzy	ADJ
cana-1731	131	21	generalised	generalise	VERB
cana-1731	131	22	pre	pre	ADJ
cana-1731	131	23	-	-	ADJ
cana-1731	131	24	semi	semi	ADJ
cana-1731	131	25	regular	regular	ADJ
cana-1731	131	26	homeomorphisms	homeomorphism	NOUN
cana-1731	131	27	,	,	PUNCT
cana-1731	131	28	then	then	ADV
cana-1731	131	29	q	q	X
cana-1731	131	30	is	be	AUX
cana-1731	131	31	if	if	SCONJ
cana-1731	131	32	homeomorphism	homeomorphism	PROPN
cana-1731	131	33	if	if	SCONJ
cana-1731	131	34	a	a	PRON
cana-1731	131	35	as	as	ADV
cana-1731	131	36	well	well	ADV
cana-1731	131	37	as	as	ADP
cana-1731	131	38	b	b	NOUN
cana-1731	131	39	are	be	AUX
cana-1731	131	40	ifpsm	ifpsm	ADJ
cana-1731	131	41	*	*	PUNCT
cana-1731	131	42	1/2	1/2	NUM
cana-1731	131	43	space	space	NOUN
cana-1731	131	44	.	.	PUNCT
cana-1731	132	1	communications	communication	NOUN
cana-1731	132	2	on	on	ADP
cana-1731	132	3	applied	apply	VERB
cana-1731	132	4	nonlinear	nonlinear	ADJ
cana-1731	132	5	analysis	analysis	NOUN
cana-1731	132	6	issn	issn	NOUN
cana-1731	132	7	:	:	PUNCT
cana-1731	132	8	1074	1074	NUM
cana-1731	132	9	-	-	PUNCT
cana-1731	132	10	133x	133x	NUM
cana-1731	132	11	vol	vol	NOUN
cana-1731	132	12	32	32	NUM
cana-1731	132	13	no	no	NOUN
cana-1731	132	14	.	.	NOUN
cana-1731	132	15	2	2	NUM
cana-1731	132	16	(	(	PUNCT
cana-1731	132	17	2025	2025	NUM
cana-1731	132	18	)	)	PUNCT
cana-1731	133	1	173	173	NUM
cana-1731	133	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-1731	133	3	proof	proof	NOUN
cana-1731	133	4	:	:	PUNCT
cana-1731	133	5	if	if	SCONJ
cana-1731	133	6	v	v	NOUN
cana-1731	133	7	is	be	AUX
cana-1731	133	8	ifc	ifc	NOUN
cana-1731	133	9	set	set	VERB
cana-1731	133	10	in	in	ADP
cana-1731	133	11	b.	b.	PROPN
cana-1731	133	12	next	next	PROPN
cana-1731	133	13	q-1	q-1	PROPN
cana-1731	133	14	(	(	PUNCT
cana-1731	133	15	b	b	X
cana-1731	133	16	)	)	PUNCT
cana-1731	133	17	be	be	AUX
cana-1731	133	18	intuitionistic	intuitionistic	ADJ
cana-1731	133	19	fuzzy	fuzzy	ADJ
cana-1731	133	20	generalised	generalise	VERB
cana-1731	133	21	pre	pre	ADJ
cana-1731	133	22	-	-	ADJ
cana-1731	133	23	semi	semi	ADJ
cana-1731	133	24	regular	regular	ADJ
cana-1731	133	25	homeomorphisms	homeomorphism	NOUN
cana-1731	133	26	in	in	ADP
cana-1731	133	27	a	a	PRON
cana-1731	133	28	,	,	PUNCT
cana-1731	133	29	based	base	VERB
cana-1731	133	30	on	on	ADP
cana-1731	133	31	assumption	assumption	NOUN
cana-1731	133	32	.	.	PUNCT
cana-1731	134	1	because	because	SCONJ
cana-1731	134	2	a	a	PRON
cana-1731	134	3	is	be	AUX
cana-1731	134	4	an	an	DET
cana-1731	134	5	ifpsm	ifpsm	NOUN
cana-1731	134	6	*	*	PUNCT
cana-1731	134	7	1/2	1/2	NUM
cana-1731	134	8	space	space	NOUN
cana-1731	134	9	,	,	PUNCT
cana-1731	134	10	q-1	q-1	NUM
cana-1731	134	11	(	(	PUNCT
cana-1731	134	12	v	v	NOUN
cana-1731	134	13	)	)	PUNCT
cana-1731	134	14	is	be	AUX
cana-1731	134	15	ifc	ifc	NOUN
cana-1731	134	16	set	set	VERB
cana-1731	134	17	in	in	ADP
cana-1731	134	18	a.	a.	NOUN
cana-1731	134	19	consequently	consequently	ADV
cana-1731	134	20	q	q	X
cana-1731	134	21	is	be	AUX
cana-1731	134	22	if	if	SCONJ
cana-1731	134	23	continuous	continuous	ADJ
cana-1731	134	24	plotting	plotting	NOUN
cana-1731	134	25	.	.	PUNCT
cana-1731	135	1	based	base	VERB
cana-1731	135	2	on	on	ADP
cana-1731	135	3	assumptions	assumption	NOUN
cana-1731	135	4	q-1	q-1	NUM
cana-1731	135	5	:	:	PUNCT
cana-1731	135	6	(	(	PUNCT
cana-1731	135	7	b	b	X
cana-1731	135	8	,	,	PUNCT
cana-1731	135	9	σ	σ	PROPN
cana-1731	135	10	)	)	PUNCT
cana-1731	135	11	→	→	PUNCT
cana-1731	135	12	(	(	PUNCT
cana-1731	135	13	a	a	PRON
cana-1731	135	14	,	,	PUNCT
cana-1731	135	15	τ	τ	NOUN
cana-1731	135	16	)	)	PUNCT
cana-1731	135	17	termed	term	VERB
cana-1731	135	18	as	as	ADP
cana-1731	135	19	ifgps	ifgps	NOUN
cana-1731	135	20	continuous	continuous	ADJ
cana-1731	135	21	plotting	plotting	NOUN
cana-1731	135	22	.	.	PUNCT
cana-1731	136	1	assume	assume	VERB
cana-1731	136	2	u	u	PRON
cana-1731	136	3	termed	term	VERB
cana-1731	136	4	as	as	SCONJ
cana-1731	136	5	ifc	ifc	NOUN
cana-1731	136	6	set	set	VERB
cana-1731	136	7	within	within	ADP
cana-1731	136	8	a.	a.	NOUN
cana-1731	136	9	next	next	ADJ
cana-1731	136	10	(	(	PUNCT
cana-1731	136	11	q-1	q-1	ADJ
cana-1731	136	12	)	)	PUNCT
cana-1731	136	13	-1	-1	CCONJ
cana-1731	136	14	(	(	PUNCT
cana-1731	136	15	u	u	NOUN
cana-1731	136	16	)	)	PUNCT
cana-1731	136	17	=	=	SYM
cana-1731	137	1	q(u	q(u	X
cana-1731	137	2	)	)	PUNCT
cana-1731	137	3	is	be	AUX
cana-1731	137	4	intuitionistic	intuitionistic	ADJ
cana-1731	137	5	fuzzy	fuzzy	ADJ
cana-1731	137	6	generalised	generalise	VERB
cana-1731	137	7	pre	pre	ADJ
cana-1731	137	8	-	-	ADJ
cana-1731	137	9	semi	semi	ADJ
cana-1731	137	10	regular	regular	ADJ
cana-1731	137	11	homeomorphisms	homeomorphism	NOUN
cana-1731	137	12	involves	involve	VERB
cana-1731	137	13	b	b	NUM
cana-1731	137	14	,	,	PUNCT
cana-1731	137	15	via	via	ADP
cana-1731	137	16	assumption	assumption	NOUN
cana-1731	137	17	.	.	PUNCT
cana-1731	138	1	since	since	SCONJ
cana-1731	138	2	b	b	NOUN
cana-1731	138	3	be	be	AUX
cana-1731	138	4	ifpsm	ifpsm	VERB
cana-1731	138	5	*	*	PUNCT
cana-1731	138	6	1/2	1/2	NUM
cana-1731	138	7	space	space	NOUN
cana-1731	138	8	,	,	PUNCT
cana-1731	138	9	q(u	q(u	NOUN
cana-1731	138	10	)	)	PUNCT
cana-1731	138	11	termed	term	VERB
cana-1731	138	12	as	as	SCONJ
cana-1731	138	13	ifc	ifc	NOUN
cana-1731	138	14	set	set	VERB
cana-1731	138	15	in	in	ADP
cana-1731	138	16	b.	b.	PROPN
cana-1731	138	17	thus	thus	ADV
cana-1731	138	18	q-1	q-1	ADJ
cana-1731	138	19	be	be	AUX
cana-1731	138	20	if	if	SCONJ
cana-1731	138	21	continuous	continuous	ADJ
cana-1731	138	22	mapping	mapping	NOUN
cana-1731	138	23	.	.	PUNCT
cana-1731	139	1	then	then	ADV
cana-1731	139	2	fnction	fnction	NOUN
cana-1731	139	3	q	q	PUNCT
cana-1731	139	4	be	be	AUX
cana-1731	139	5	if	if	SCONJ
cana-1731	139	6	homeomorphism	homeomorphism	PROPN
cana-1731	139	7	.	.	PUNCT
cana-1731	140	1	theorem	theorem	VERB
cana-1731	140	2	34	34	NUM
cana-1731	140	3	:	:	PUNCT
cana-1731	140	4	assume	assume	VERB
cana-1731	140	5	q	q	X
cana-1731	140	6	:	:	PUNCT
cana-1731	140	7	(	(	PUNCT
cana-1731	140	8	a	a	X
cana-1731	140	9	,	,	PUNCT
cana-1731	140	10	τ	τ	PROPN
cana-1731	140	11	)	)	PUNCT
cana-1731	140	12	→	→	SYM
cana-1731	140	13	(	(	PUNCT
cana-1731	140	14	b	b	PROPN
cana-1731	140	15	,	,	PUNCT
cana-1731	140	16	σ	σ	PROPN
cana-1731	140	17	)	)	PUNCT
cana-1731	140	18	labelled	label	VERB
cana-1731	140	19	as	as	ADP
cana-1731	140	20	bijective	bijective	ADJ
cana-1731	140	21	plotting	plotting	NOUN
cana-1731	140	22	.	.	PUNCT
cana-1731	141	1	when	when	SCONJ
cana-1731	141	2	q	q	NOUN
cana-1731	141	3	is	be	AUX
cana-1731	141	4	an	an	DET
cana-1731	141	5	ifgp	ifgp	NOUN
cana-1731	141	6	set	set	VERB
cana-1731	141	7	continuous	continuous	ADJ
cana-1731	141	8	plotting	plotting	NOUN
cana-1731	141	9	,	,	PUNCT
cana-1731	141	10	the	the	DET
cana-1731	141	11	next	next	ADJ
cana-1731	141	12	statements	statement	NOUN
cana-1731	141	13	are	be	AUX
cana-1731	141	14	equivalent	equivalent	ADJ
cana-1731	141	15	:	:	PUNCT
cana-1731	141	16	(	(	PUNCT
cana-1731	141	17	i	i	NOUN
cana-1731	141	18	)	)	PUNCT
cana-1731	141	19	q	q	VERB
cana-1731	141	20	called	call	VERB
cana-1731	141	21	as	as	SCONJ
cana-1731	141	22	ifgps	ifgps	NOUN
cana-1731	141	23	open	open	ADJ
cana-1731	141	24	mapping	mapping	NOUN
cana-1731	141	25	.	.	PUNCT
cana-1731	142	1	(	(	PUNCT
cana-1731	142	2	ii	ii	NOUN
cana-1731	142	3	)	)	PUNCT
cana-1731	142	4	q	q	PUNCT
cana-1731	142	5	be	be	AUX
cana-1731	142	6	intuitionistic	intuitionistic	ADJ
cana-1731	142	7	fuzzy	fuzzy	ADJ
cana-1731	142	8	generalised	generalise	VERB
cana-1731	142	9	pre	pre	X
cana-1731	142	10	semi	semi	ADV
cana-1731	142	11	regular	regular	ADJ
cana-1731	142	12	homeomorphisms	homeomorphism	NOUN
cana-1731	142	13	.	.	PUNCT
cana-1731	143	1	(	(	PUNCT
cana-1731	143	2	iii	iii	X
cana-1731	143	3	)	)	PUNCT
cana-1731	143	4	q	q	NOUN
cana-1731	143	5	called	call	VERB
cana-1731	143	6	as	as	SCONJ
cana-1731	143	7	ifgps	ifgp	NOUN
cana-1731	143	8	closed	close	VERB
cana-1731	143	9	mapping	mapping	NOUN
cana-1731	143	10	.	.	PUNCT
cana-1731	144	1	lemma	lemma	PROPN
cana-1731	144	2	35	35	NUM
cana-1731	144	3	:	:	PUNCT
cana-1731	144	4	the	the	DET
cana-1731	144	5	composition	composition	NOUN
cana-1731	144	6	of	of	ADP
cana-1731	144	7	two	two	NUM
cana-1731	144	8	intuitionistic	intuitionistic	ADJ
cana-1731	144	9	fuzzy	fuzzy	ADJ
cana-1731	144	10	generalised	generalise	VERB
cana-1731	144	11	pre	pre	NOUN
cana-1731	144	12	semi	semi	ADV
cana-1731	144	13	regular	regular	ADJ
cana-1731	144	14	homeomorphisms	homeomorphism	NOUN
cana-1731	144	15	need	need	AUX
cana-1731	144	16	not	not	PART
cana-1731	144	17	be	be	AUX
cana-1731	144	18	an	an	DET
cana-1731	144	19	intuitionistic	intuitionistic	ADJ
cana-1731	144	20	fuzzy	fuzzy	ADJ
cana-1731	144	21	generalised	generalise	VERB
cana-1731	144	22	pre	pre	ADJ
cana-1731	144	23	-	-	ADJ
cana-1731	144	24	semi	semi	ADJ
cana-1731	144	25	regular	regular	ADJ
cana-1731	144	26	homeomorphism	homeomorphism	NOUN
cana-1731	144	27	in	in	ADP
cana-1731	144	28	general	general	PROPN
cana-1731	144	29	.	.	PUNCT
cana-1731	145	1	example	example	NOUN
cana-1731	145	2	36	36	NUM
cana-1731	145	3	:	:	PUNCT
cana-1731	145	4	assume	assume	VERB
cana-1731	145	5	a	a	DET
cana-1731	145	6	=	=	SYM
cana-1731	145	7	{	{	PUNCT
cana-1731	145	8	u	u	NOUN
cana-1731	145	9	,	,	PUNCT
cana-1731	145	10	v	v	NOUN
cana-1731	145	11	}	}	PUNCT
cana-1731	145	12	,	,	PUNCT
cana-1731	145	13	b	b	X
cana-1731	145	14	=	=	PRON
cana-1731	145	15	{	{	PUNCT
cana-1731	145	16	x	x	PROPN
cana-1731	145	17	,	,	PUNCT
cana-1731	145	18	y	y	NOUN
cana-1731	145	19	}	}	PUNCT
cana-1731	145	20	and	and	CCONJ
cana-1731	145	21	c	c	NOUN
cana-1731	145	22	=	=	SYM
cana-1731	145	23	{	{	PUNCT
cana-1731	145	24	r	r	NOUN
cana-1731	145	25	,	,	PUNCT
cana-1731	145	26	s	s	NOUN
cana-1731	145	27	}	}	PUNCT
cana-1731	145	28	.	.	PUNCT
cana-1731	146	1	let	let	VERB
cana-1731	146	2	e1	e1	NOUN
cana-1731	146	3	=	=	VERB
cana-1731	147	1	〈	〈	NOUN
cana-1731	147	2	a	a	NOUN
cana-1731	147	3	,	,	PUNCT
cana-1731	147	4	(	(	PUNCT
cana-1731	147	5	0.2	0.2	NUM
cana-1731	147	6	,	,	PUNCT
cana-1731	147	7	0.1	0.1	NUM
cana-1731	147	8	)	)	PUNCT
cana-1731	147	9	,	,	PUNCT
cana-1731	147	10	(	(	PUNCT
cana-1731	147	11	0.6	0.6	NUM
cana-1731	147	12	,	,	PUNCT
cana-1731	147	13	0.7	0.7	NUM
cana-1731	147	14	)	)	PUNCT
cana-1731	147	15	〉	〉	NOUN
cana-1731	147	16	,	,	PUNCT
cana-1731	147	17	e2	e2	NOUN
cana-1731	147	18	=	=	PUNCT
cana-1731	147	19	〈	〈	PROPN
cana-1731	147	20	b	b	PROPN
cana-1731	147	21	,	,	PUNCT
cana-1731	147	22	(	(	PUNCT
cana-1731	147	23	0.2	0.2	NUM
cana-1731	147	24	,	,	PUNCT
cana-1731	147	25	0.8	0.8	NUM
cana-1731	147	26	)	)	PUNCT
cana-1731	147	27	,	,	PUNCT
cana-1731	147	28	(	(	PUNCT
cana-1731	147	29	0.8	0.8	NUM
cana-1731	147	30	,	,	PUNCT
cana-1731	147	31	0.2	0.2	NUM
cana-1731	147	32	)	)	PUNCT
cana-1731	147	33	〉	〉	NOUN
cana-1731	147	34	,	,	PUNCT
cana-1731	147	35	e3	e3	NOUN
cana-1731	147	36	=	=	PUNCT
cana-1731	147	37	〈	〈	PROPN
cana-1731	147	38	c	c	PROPN
cana-1731	147	39	,	,	PUNCT
cana-1731	147	40	(	(	PUNCT
cana-1731	147	41	0.5	0.5	NUM
cana-1731	147	42	,	,	PUNCT
cana-1731	147	43	0.6	0.6	NUM
cana-1731	147	44	)	)	PUNCT
cana-1731	147	45	,	,	PUNCT
cana-1731	147	46	(	(	PUNCT
cana-1731	147	47	0.5	0.5	NUM
cana-1731	147	48	,	,	PUNCT
cana-1731	147	49	0.4	0.4	NUM
cana-1731	147	50	)	)	PUNCT
cana-1731	147	51	〉	〉	NOUN
cana-1731	147	52	.	.	PUNCT
cana-1731	148	1	then	then	ADV
cana-1731	148	2	τ	τ	PROPN
cana-1731	148	3	=	=	PUNCT
cana-1731	148	4	{	{	PUNCT
cana-1731	148	5	0~	0~	NOUN
cana-1731	148	6	,	,	PUNCT
cana-1731	148	7	e1	e1	NOUN
cana-1731	148	8	,	,	PUNCT
cana-1731	148	9	1~	1~	NUM
cana-1731	148	10	}	}	PUNCT
cana-1731	148	11	,	,	PUNCT
cana-1731	148	12	σ	σ	PROPN
cana-1731	148	13	=	=	SYM
cana-1731	148	14	{	{	PUNCT
cana-1731	148	15	0~	0~	NOUN
cana-1731	148	16	,	,	PUNCT
cana-1731	148	17	e2	e2	PROPN
cana-1731	148	18	,	,	PUNCT
cana-1731	148	19	1~	1~	NUM
cana-1731	148	20	}	}	PUNCT
cana-1731	148	21	also	also	ADV
cana-1731	148	22	η	η	X
cana-1731	148	23	=	=	PROPN
cana-1731	148	24	{	{	PUNCT
cana-1731	148	25	0~	0~	NOUN
cana-1731	148	26	,	,	PUNCT
cana-1731	148	27	e3	e3	NOUN
cana-1731	148	28	,	,	PUNCT
cana-1731	148	29	1~	1~	NUM
cana-1731	148	30	}	}	PUNCT
cana-1731	148	31	are	be	AUX
cana-1731	148	32	ifts	ift	NOUN
cana-1731	148	33	on	on	ADP
cana-1731	148	34	a	a	DET
cana-1731	148	35	,	,	PUNCT
cana-1731	148	36	b	b	NOUN
cana-1731	148	37	and	and	CCONJ
cana-1731	148	38	c	c	NOUN
cana-1731	148	39	respectively	respectively	ADV
cana-1731	148	40	.	.	PUNCT
cana-1731	149	1	conclusion	conclusion	NOUN
cana-1731	149	2	in	in	ADP
cana-1731	149	3	this	this	DET
cana-1731	149	4	study	study	NOUN
cana-1731	149	5	,	,	PUNCT
cana-1731	149	6	generalised	generalise	VERB
cana-1731	149	7	intuitionistic	intuitionistic	ADJ
cana-1731	149	8	fuzzy	fuzzy	ADJ
cana-1731	149	9	pre	pre	NOUN
cana-1731	149	10	-	-	NOUN
cana-1731	149	11	homeomorphisms	homeomorphism	NOUN
cana-1731	149	12	are	be	AUX
cana-1731	149	13	introduced	introduce	VERB
cana-1731	149	14	.	.	PUNCT
cana-1731	150	1	we	we	PRON
cana-1731	150	2	take	take	VERB
cana-1731	150	3	a	a	DET
cana-1731	150	4	look	look	NOUN
cana-1731	150	5	at	at	ADP
cana-1731	150	6	some	some	PRON
cana-1731	150	7	of	of	ADP
cana-1731	150	8	their	their	PRON
cana-1731	150	9	traits	trait	NOUN
cana-1731	150	10	.	.	PUNCT
cana-1731	151	1	reference	reference	NOUN
cana-1731	151	2	[	[	X
cana-1731	151	3	1	1	NUM
cana-1731	151	4	]	]	X
cana-1731	151	5	atanassov	atanassov	ADJ
cana-1731	151	6	,	,	PUNCT
cana-1731	151	7	intuitionistic	intuitionistic	ADJ
cana-1731	151	8	fuzzy	fuzzy	ADJ
cana-1731	151	9	sets	set	NOUN
cana-1731	151	10	,	,	PUNCT
cana-1731	151	11	fuzzy	fuzzy	ADJ
cana-1731	151	12	sets	set	NOUN
cana-1731	151	13	and	and	CCONJ
cana-1731	151	14	systems	system	NOUN
cana-1731	151	15	,	,	PUNCT
cana-1731	151	16	1986	1986	NUM
cana-1731	151	17	.	.	PUNCT
cana-1731	152	1	[	[	X
cana-1731	152	2	2	2	NUM
cana-1731	152	3	]	]	X
cana-1731	152	4	chang	chang	PROPN
cana-1731	152	5	,	,	PUNCT
cana-1731	152	6	fuzzy	fuzzy	ADJ
cana-1731	152	7	topological	topological	ADJ
cana-1731	152	8	spaces	space	NOUN
cana-1731	152	9	,	,	PUNCT
cana-1731	152	10	journal	journal	NOUN
cana-1731	152	11	of	of	ADP
cana-1731	152	12	mathematical	mathematical	ADJ
cana-1731	152	13	analysis	analysis	NOUN
cana-1731	152	14	and	and	CCONJ
cana-1731	152	15	applications	application	NOUN
cana-1731	152	16	,	,	PUNCT
cana-1731	152	17	1968	1968	NUM
cana-1731	152	18	.	.	PUNCT
cana-1731	153	1	[	[	X
cana-1731	153	2	3	3	NUM
cana-1731	153	3	]	]	X
cana-1731	153	4	coker	coker	NOUN
cana-1731	153	5	,	,	PUNCT
cana-1731	153	6	an	an	DET
cana-1731	153	7	introduction	introduction	NOUN
cana-1731	153	8	to	to	ADP
cana-1731	153	9	intuitionistic	intuitionistic	ADJ
cana-1731	153	10	fuzzy	fuzzy	ADJ
cana-1731	153	11	topological	topological	ADJ
cana-1731	153	12	space	space	NOUN
cana-1731	153	13	,	,	PUNCT
cana-1731	153	14	fuzzy	fuzzy	ADJ
cana-1731	153	15	sets	set	NOUN
cana-1731	153	16	and	and	CCONJ
cana-1731	153	17	systems	system	NOUN
cana-1731	153	18	,	,	PUNCT
cana-1731	153	19	88	88	NUM
cana-1731	153	20	,	,	PUNCT
cana-1731	153	21	1997	1997	NUM
cana-1731	153	22	.	.	PUNCT
cana-1731	154	1	[	[	X
cana-1731	154	2	4	4	NUM
cana-1731	154	3	]	]	X
cana-1731	154	4	gurcay	gurcay	NOUN
cana-1731	154	5	,	,	PUNCT
cana-1731	154	6	haydar	haydar	PROPN
cana-1731	154	7	and	and	CCONJ
cana-1731	154	8	coker	coker	NOUN
cana-1731	154	9	,	,	PUNCT
cana-1731	154	10	on	on	ADP
cana-1731	154	11	fuzzy	fuzzy	ADJ
cana-1731	154	12	continuity	continuity	NOUN
cana-1731	154	13	in	in	ADP
cana-1731	154	14	intuitionistic	intuitionistic	ADJ
cana-1731	154	15	fuzzy	fuzzy	ADJ
cana-1731	154	16	topological	topological	ADJ
cana-1731	154	17	spaces	space	NOUN
cana-1731	154	18	,	,	PUNCT
cana-1731	154	19	the	the	DET
cana-1731	154	20	journal	journal	NOUN
cana-1731	154	21	of	of	ADP
cana-1731	154	22	mathematical	mathematical	ADJ
cana-1731	154	23	fuzzy	fuzzy	NOUN
cana-1731	154	24	,	,	PUNCT
cana-1731	154	25	1997	1997	NUM
cana-1731	154	26	.	.	PUNCT
cana-1731	155	1	[	[	X
cana-1731	155	2	5	5	NUM
cana-1731	155	3	]	]	X
cana-1731	155	4	ramesh	ramesh	NOUN
cana-1731	155	5	,	,	PUNCT
cana-1731	155	6	thirumalaisamy	thirumalaisamy	PROPN
cana-1731	155	7	,	,	PUNCT
cana-1731	155	8	kavunthi	kavunthi	NOUN
cana-1731	155	9	,	,	PUNCT
cana-1731	155	10	generalized	generalize	VERB
cana-1731	155	11	semi	semi	ADV
cana-1731	155	12	pre	pre	VERB
cana-1731	155	13	regular	regular	ADJ
cana-1731	155	14	continuous	continuous	ADJ
cana-1731	155	15	and	and	CCONJ
cana-1731	155	16	irresolute	irresolute	ADJ
cana-1731	155	17	mappings	mapping	NOUN
cana-1731	155	18	in	in	ADP
cana-1731	155	19	intuitionistic	intuitionistic	ADJ
cana-1731	155	20	fuzzy	fuzzy	ADJ
cana-1731	155	21	topological	topological	ADJ
cana-1731	155	22	spaces	space	NOUN
cana-1731	155	23	,	,	PUNCT
cana-1731	155	24	2013	2013	NUM
cana-1731	155	25	.	.	PUNCT
cana-1731	156	1	[	[	X
cana-1731	156	2	6	6	NUM
cana-1731	156	3	]	]	X
cana-1731	156	4	ramesh	ramesh	NOUN
cana-1731	156	5	,	,	PUNCT
cana-1731	156	6	thirumalaisamy	thirumalaisamy	PROPN
cana-1731	156	7	,	,	PUNCT
cana-1731	156	8	on	on	ADP
cana-1731	156	9	gspr	gspr	ADJ
cana-1731	156	10	closed	close	VERB
cana-1731	156	11	mappings	mapping	NOUN
cana-1731	156	12	and	and	CCONJ
cana-1731	156	13	gspr	gspr	PROPN
cana-1731	156	14	homeomorphisms	homeomorphism	NOUN
cana-1731	156	15	in	in	ADP
cana-1731	156	16	intuitionistic	intuitionistic	ADJ
cana-1731	156	17	fuzzy	fuzzy	ADJ
cana-1731	156	18	topological	topological	ADJ
cana-1731	156	19	spaces	space	NOUN
cana-1731	156	20	,	,	PUNCT
cana-1731	156	21	international	international	ADJ
cana-1731	156	22	journal	journal	NOUN
cana-1731	156	23	of	of	ADP
cana-1731	156	24	mathematical	mathematical	ADJ
cana-1731	156	25	trends	trend	NOUN
cana-1731	156	26	and	and	CCONJ
cana-1731	156	27	technology	technology	NOUN
cana-1731	156	28	,	,	PUNCT
cana-1731	156	29	2013	2013	NUM
cana-1731	156	30	.	.	PUNCT
cana-1731	157	1	[	[	X
cana-1731	157	2	7	7	NUM
cana-1731	157	3	]	]	SYM
cana-1731	157	4	sakthivel	sakthivel	NOUN
cana-1731	157	5	,	,	PUNCT
cana-1731	157	6	alpha	alpha	NOUN
cana-1731	157	7	generalized	generalize	VERB
cana-1731	157	8	homeomorphism	homeomorphism	PROPN
cana-1731	157	9	in	in	ADP
cana-1731	157	10	intuitionistic	intuitionistic	ADJ
cana-1731	157	11	fuzzy	fuzzy	ADJ
cana-1731	157	12	topological	topological	ADJ
cana-1731	157	13	space	space	NOUN
cana-1731	157	14	,	,	PUNCT
cana-1731	157	15	notes	note	NOUN
cana-1731	157	16	on	on	ADP
cana-1731	157	17	intuitionistic	intuitionistic	ADJ
cana-1731	157	18	fuzzy	fuzzy	ADJ
cana-1731	157	19	sets	set	NOUN
cana-1731	157	20	,	,	PUNCT
cana-1731	157	21	2011	2011	NUM
cana-1731	157	22	.	.	PUNCT
cana-1731	158	1	[	[	X
cana-1731	158	2	8	8	NUM
cana-1731	158	3	]	]	X
cana-1731	158	4	sampoornam	sampoornam	NOUN
cana-1731	158	5	,	,	PUNCT
cana-1731	158	6	gnanambal	gnanambal	ADJ
cana-1731	158	7	ilango	ilango	PROPN
cana-1731	158	8	,	,	PUNCT
cana-1731	158	9	ramesh	ramesh	PROPN
cana-1731	158	10	,	,	PUNCT
cana-1731	158	11	on	on	ADP
cana-1731	158	12	generalized	generalized	ADJ
cana-1731	158	13	pre	pre	X
cana-1731	158	14	semi	semi	ADJ
cana-1731	158	15	closed	closed	ADJ
cana-1731	158	16	sets	set	NOUN
cana-1731	158	17	in	in	ADP
cana-1731	158	18	intuitionistic	intuitionistic	ADJ
cana-1731	158	19	fuzzy	fuzzy	ADJ
cana-1731	158	20	topological	topological	ADJ
cana-1731	158	21	spaces	space	NOUN
cana-1731	158	22	,	,	PUNCT
cana-1731	158	23	international	international	ADJ
cana-1731	158	24	journal	journal	NOUN
cana-1731	158	25	of	of	ADP
cana-1731	158	26	mathematical	mathematical	ADJ
cana-1731	158	27	trends	trend	NOUN
cana-1731	158	28	and	and	CCONJ
cana-1731	158	29	technology	technology	NOUN
cana-1731	158	30	,	,	PUNCT
cana-1731	158	31	2013	2013	NUM
cana-1731	158	32	.	.	PUNCT
cana-1731	159	1	communications	communication	NOUN
cana-1731	159	2	on	on	ADP
cana-1731	159	3	applied	apply	VERB
cana-1731	159	4	nonlinear	nonlinear	ADJ
cana-1731	159	5	analysis	analysis	NOUN
cana-1731	159	6	issn	issn	NOUN
cana-1731	159	7	:	:	PUNCT
cana-1731	159	8	1074	1074	NUM
cana-1731	159	9	-	-	PUNCT
cana-1731	159	10	133x	133x	NUM
cana-1731	159	11	vol	vol	NOUN
cana-1731	159	12	32	32	NUM
cana-1731	159	13	no	no	NOUN
cana-1731	159	14	.	.	NOUN
cana-1731	159	15	2	2	NUM
cana-1731	159	16	(	(	PUNCT
cana-1731	159	17	2025	2025	NUM
cana-1731	159	18	)	)	PUNCT
cana-1731	159	19	174	174	NUM
cana-1731	159	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1731	160	1	[	[	X
cana-1731	160	2	9	9	NUM
cana-1731	160	3	]	]	PUNCT
cana-1731	160	4	sampoornam	sampoornam	NOUN
cana-1731	160	5	,	,	PUNCT
cana-1731	160	6	gnanambal	gnanambal	ADJ
cana-1731	160	7	ilango	ilango	PROPN
cana-1731	160	8	,	,	PUNCT
cana-1731	160	9	ramesh	ramesh	PROPN
cana-1731	160	10	,	,	PUNCT
cana-1731	160	11	generalized	generalize	VERB
cana-1731	160	12	pre	pre	VERB
cana-1731	160	13	semi	semi	ADV
cana-1731	160	14	continuous	continuous	ADJ
cana-1731	160	15	and	and	CCONJ
cana-1731	160	16	irresolute	irresolute	ADJ
cana-1731	160	17	mappings	mapping	NOUN
cana-1731	160	18	in	in	ADP
cana-1731	160	19	intuitionistic	intuitionistic	ADJ
cana-1731	160	20	fuzzy	fuzzy	ADJ
cana-1731	160	21	topological	topological	ADJ
cana-1731	160	22	space	space	NOUN
cana-1731	160	23	,	,	PUNCT
cana-1731	160	24	international	international	ADJ
cana-1731	160	25	journal	journal	NOUN
cana-1731	160	26	of	of	ADP
cana-1731	160	27	innovative	innovative	ADJ
cana-1731	160	28	research	research	NOUN
cana-1731	160	29	in	in	ADP
cana-1731	160	30	science	science	NOUN
cana-1731	160	31	engineering	engineering	NOUN
cana-1731	160	32	and	and	CCONJ
cana-1731	160	33	technology	technology	NOUN
cana-1731	160	34	,	,	PUNCT
cana-1731	160	35	aug	aug	PROPN
cana-1731	160	36	2013	2013	NUM
cana-1731	160	37	,	,	PUNCT
cana-1731	160	38	40344040	40344040	NUM
cana-1731	160	39	.	.	PUNCT
cana-1731	161	1	[	[	X
cana-1731	161	2	10	10	NUM
cana-1731	161	3	]	]	X
cana-1731	161	4	sampoornam	sampoornam	NOUN
cana-1731	161	5	,	,	PUNCT
cana-1731	161	6	gnanambal	gnanambal	ADJ
cana-1731	161	7	ilango	ilango	PROPN
cana-1731	161	8	,	,	PUNCT
cana-1731	161	9	arif	arif	PROPN
cana-1731	161	10	mohammed	mohammed	PROPN
cana-1731	161	11	,	,	PUNCT
cana-1731	161	12	generalized	generalize	VERB
cana-1731	161	13	pre	pre	X
cana-1731	161	14	semi	semi	ADJ
cana-1731	161	15	closed	closed	ADJ
cana-1731	161	16	mappings	mapping	NOUN
cana-1731	161	17	in	in	ADP
cana-1731	161	18	intuitionistic	intuitionistic	ADJ
cana-1731	161	19	fuzzy	fuzzy	ADJ
cana-1731	161	20	topological	topological	ADJ
cana-1731	161	21	spaces	space	NOUN
cana-1731	161	22	,	,	PUNCT
cana-1731	161	23	international	international	ADJ
cana-1731	161	24	journal	journal	NOUN
cana-1731	161	25	of	of	ADP
cana-1731	161	26	engineering	engineering	NOUN
cana-1731	161	27	research	research	NOUN
cana-1731	161	28	and	and	CCONJ
cana-1731	161	29	technology	technology	NOUN
cana-1731	161	30	,	,	PUNCT
cana-1731	161	31	2013	2013	NUM
cana-1731	161	32	.	.	PUNCT
cana-1731	162	1	[	[	X
cana-1731	162	2	11	11	NUM
cana-1731	162	3	]	]	X
cana-1731	162	4	santhi	santhi	ADJ
cana-1731	162	5	,	,	PUNCT
cana-1731	162	6	jayanthi	jayanthi	PROPN
cana-1731	162	7	,	,	PUNCT
cana-1731	162	8	intuitionistic	intuitionistic	ADJ
cana-1731	162	9	fuzzy	fuzzy	ADJ
cana-1731	162	10	generalized	generalized	ADJ
cana-1731	162	11	semi	semi	ADJ
cana-1731	162	12	-	-	ADJ
cana-1731	162	13	pre	pre	ADJ
cana-1731	162	14	continuous	continuous	ADJ
cana-1731	162	15	mappings	mapping	NOUN
cana-1731	162	16	,	,	PUNCT
cana-1731	162	17	international	international	ADJ
cana-1731	162	18	journal	journal	NOUN
cana-1731	162	19	of	of	ADP
cana-1731	162	20	contemporary	contemporary	PROPN
cana-1731	162	21	mathematical	mathematical	PROPN
cana-1731	162	22	sciences	sciences	PROPN
cana-1731	162	23	,	,	PUNCT
cana-1731	162	24	2010	2010	NUM
cana-1731	162	25	.	.	PUNCT
cana-1731	163	1	[	[	X
cana-1731	163	2	12	12	NUM
cana-1731	163	3	]	]	X
cana-1731	163	4	santhi	santhi	ADJ
cana-1731	163	5	,	,	PUNCT
cana-1731	163	6	jayanthi	jayanthi	PROPN
cana-1731	163	7	,	,	PUNCT
cana-1731	163	8	intuitionistic	intuitionistic	ADJ
cana-1731	163	9	fuzzy	fuzzy	ADJ
cana-1731	163	10	generalized	generalize	VERB
cana-1731	163	11	semi	semi	ADV
cana-1731	163	12	pre	pre	X
cana-1731	163	13	closed	closed	ADJ
cana-1731	163	14	mappings	mapping	NOUN
cana-1731	163	15	,	,	PUNCT
cana-1731	163	16	journal	journal	NOUN
cana-1731	163	17	of	of	ADP
cana-1731	163	18	informatics	informatic	NOUN
cana-1731	163	19	and	and	CCONJ
cana-1731	163	20	mathematical	mathematical	ADJ
cana-1731	163	21	sciences	science	NOUN
cana-1731	163	22	,	,	PUNCT
cana-1731	163	23	2010	2010	NUM
cana-1731	163	24	.	.	PUNCT
cana-1731	164	1	[	[	X
cana-1731	164	2	13	13	NUM
cana-1731	164	3	]	]	SYM
cana-1731	164	4	santhi	santhi	ADJ
cana-1731	164	5	,	,	PUNCT
cana-1731	164	6	jayanthi	jayanthi	PROPN
cana-1731	164	7	,	,	PUNCT
cana-1731	164	8	intuitionistic	intuitionistic	ADJ
cana-1731	164	9	fuzzy	fuzzy	ADJ
cana-1731	164	10	generalized	generalized	ADJ
cana-1731	164	11	semi	semi	ADJ
cana-1731	164	12	-	-	ADJ
cana-1731	164	13	pre	pre	ADJ
cana-1731	164	14	homeomorphisms	homeomorphisms	PROPN
cana-1731	164	15	,	,	PUNCT
cana-1731	164	16	journal	journal	NOUN
cana-1731	164	17	of	of	ADP
cana-1731	164	18	pure	pure	ADJ
cana-1731	164	19	mathematics	mathematic	NOUN
cana-1731	164	20	,	,	PUNCT
cana-1731	164	21	2010	2010	NUM
cana-1731	164	22	.	.	PUNCT
cana-1731	165	1	[	[	X
cana-1731	165	2	14	14	NUM
cana-1731	165	3	]	]	PUNCT
cana-1731	165	4	seok	seok	PROPN
cana-1731	165	5	jong	jong	PROPN
cana-1731	165	6	lee	lee	PROPN
cana-1731	165	7	,	,	PUNCT
cana-1731	165	8	eun	eun	PROPN
cana-1731	165	9	pyo	pyo	PROPN
cana-1731	165	10	lee	lee	PROPN
cana-1731	165	11	,	,	PUNCT
cana-1731	165	12	the	the	DET
cana-1731	165	13	category	category	NOUN
cana-1731	165	14	of	of	ADP
cana-1731	165	15	intuitionistic	intuitionistic	ADJ
cana-1731	165	16	fuzzy	fuzzy	ADJ
cana-1731	165	17	topological	topological	ADJ
cana-1731	165	18	spaces	space	NOUN
cana-1731	165	19	,	,	PUNCT
cana-1731	165	20	bulletin	bulletin	NOUN
cana-1731	165	21	of	of	ADP
cana-1731	165	22	the	the	DET
cana-1731	165	23	korean	korean	ADJ
cana-1731	165	24	mathematical	mathematical	ADJ
cana-1731	165	25	society	society	NOUN
cana-1731	165	26	,	,	PUNCT
cana-1731	165	27	2000	2000	NUM
cana-1731	165	28	.	.	PUNCT
cana-1731	166	1	[	[	X
cana-1731	166	2	15	15	NUM
cana-1731	166	3	]	]	X
cana-1731	166	4	zadeh	zadeh	PROPN
cana-1731	166	5	,	,	PUNCT
cana-1731	166	6	fuzzy	fuzzy	ADJ
cana-1731	166	7	sets	set	NOUN
cana-1731	166	8	,	,	PUNCT
cana-1731	166	9	information	information	NOUN
cana-1731	166	10	and	and	CCONJ
cana-1731	166	11	control	control	NOUN
cana-1731	166	12	,	,	PUNCT
cana-1731	166	13	1965	1965	NUM
cana-1731	166	14	.	.	PUNCT
cana-1731	167	1	[	[	X
cana-1731	167	2	16	16	NUM
cana-1731	167	3	]	]	X
cana-1731	167	4	selma	selma	PROPN
cana-1731	167	5	ozcag	ozcag	PROPN
cana-1731	167	6	and	and	CCONJ
cana-1731	167	7	dogan	dogan	PROPN
cana-1731	167	8	coker	coker	NOUN
cana-1731	167	9	,	,	PUNCT
cana-1731	167	10	on	on	ADP
cana-1731	167	11	connectedness	connectedness	NOUN
cana-1731	167	12	in	in	ADP
cana-1731	167	13	intuitionistic	intuitionistic	ADJ
cana-1731	167	14	fuzzy	fuzzy	ADJ
cana-1731	167	15	special	special	ADJ
cana-1731	167	16	topological	topological	ADJ
cana-1731	167	17	spaces	space	NOUN
cana-1731	167	18	,	,	PUNCT
cana-1731	167	19	international	international	ADJ
cana-1731	167	20	journal	journal	NOUN
cana-1731	167	21	of	of	ADP
cana-1731	167	22	mathematics	mathematics	PROPN
cana-1731	167	23	and	and	CCONJ
cana-1731	167	24	mathematical	mathematical	ADJ
cana-1731	167	25	sciences	science	NOUN
cana-1731	167	26	,	,	PUNCT
cana-1731	167	27	1998	1998	NUM
cana-1731	167	28	.	.	PUNCT