id	sid	tid	token	lemma	pos
cana-1586	1	1	communications	communication	NOUN
cana-1586	1	2	on	on	ADP
cana-1586	1	3	applied	apply	VERB
cana-1586	1	4	nonlinear	nonlinear	ADJ
cana-1586	1	5	analysis	analysis	NOUN
cana-1586	1	6	issn	issn	NOUN
cana-1586	1	7	:	:	PUNCT
cana-1586	1	8	1074	1074	NUM
cana-1586	1	9	-	-	PUNCT
cana-1586	1	10	133x	133x	NUM
cana-1586	1	11	vol	vol	NOUN
cana-1586	1	12	31	31	NUM
cana-1586	1	13	no	no	NOUN
cana-1586	1	14	.	.	PUNCT
cana-1586	2	1	8s	8s	PROPN
cana-1586	2	2	(	(	PUNCT
cana-1586	2	3	2024	2024	NUM
cana-1586	2	4	)	)	PUNCT
cana-1586	2	5	747	747	NUM
cana-1586	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1586	2	7	a	a	DET
cana-1586	2	8	new	new	ADJ
cana-1586	2	9	inventive	inventive	ADJ
cana-1586	2	10	approach	approach	NOUN
cana-1586	2	11	to	to	ADP
cana-1586	2	12	nano	nano	VERB
cana-1586	2	13	fuzzy	fuzzy	ADJ
cana-1586	2	14	soft	soft	ADJ
cana-1586	2	15	topological	topological	ADJ
cana-1586	2	16	space	space	NOUN
cana-1586	2	17	using	use	VERB
cana-1586	2	18	mathematical	mathematical	ADJ
cana-1586	2	19	analysis	analysis	NOUN
cana-1586	2	20	j.	j.	PROPN
cana-1586	2	21	nirmala1	nirmala1	PROPN
cana-1586	2	22	*	*	PROPN
cana-1586	2	23	,	,	PUNCT
cana-1586	2	24	dr	dr	PROPN
cana-1586	2	25	.	.	PROPN
cana-1586	2	26	j.	j.	PROPN
cana-1586	2	27	srikiruthika2	srikiruthika2	PROPN
cana-1586	3	1	1research	1research	NUM
cana-1586	3	2	scholar	scholar	NOUN
cana-1586	3	3	,	,	PUNCT
cana-1586	3	4	department	department	NOUN
cana-1586	3	5	of	of	ADP
cana-1586	3	6	mathematics	mathematic	NOUN
cana-1586	3	7	,	,	PUNCT
cana-1586	3	8	avinashilingam	avinashilingam	PROPN
cana-1586	3	9	institute	institute	PROPN
cana-1586	3	10	for	for	ADP
cana-1586	3	11	home	home	NOUN
cana-1586	3	12	science	science	NOUN
cana-1586	3	13	and	and	CCONJ
cana-1586	3	14	higher	high	ADJ
cana-1586	3	15	education	education	NOUN
cana-1586	3	16	for	for	ADP
cana-1586	3	17	women	woman	NOUN
cana-1586	3	18	.	.	PUNCT
cana-1586	4	1	assistant	assistant	PROPN
cana-1586	4	2	professor	professor	NOUN
cana-1586	4	3	,	,	PUNCT
cana-1586	4	4	department	department	NOUN
cana-1586	4	5	of	of	ADP
cana-1586	4	6	mathematics	mathematic	NOUN
cana-1586	4	7	,	,	PUNCT
cana-1586	4	8	kg	kg	PROPN
cana-1586	4	9	college	college	PROPN
cana-1586	4	10	of	of	ADP
cana-1586	4	11	arts	art	NOUN
cana-1586	4	12	and	and	CCONJ
cana-1586	4	13	science	science	NOUN
cana-1586	4	14	.	.	PUNCT
cana-1586	5	1	2assistant	2assistant	NUM
cana-1586	5	2	professor	professor	NOUN
cana-1586	5	3	of	of	ADP
cana-1586	5	4	mathematics	mathematic	NOUN
cana-1586	5	5	,	,	PUNCT
cana-1586	5	6	department	department	NOUN
cana-1586	5	7	of	of	ADP
cana-1586	5	8	science	science	NOUN
cana-1586	5	9	and	and	CCONJ
cana-1586	5	10	humanities	humanity	NOUN
cana-1586	5	11	,	,	PUNCT
cana-1586	5	12	school	school	NOUN
cana-1586	5	13	of	of	ADP
cana-1586	5	14	engineering	engineering	NOUN
cana-1586	5	15	,	,	PUNCT
cana-1586	5	16	avinashilingam	avinashilingam	PROPN
cana-1586	5	17	institute	institute	PROPN
cana-1586	5	18	for	for	ADP
cana-1586	5	19	home	home	NOUN
cana-1586	5	20	science	science	NOUN
cana-1586	5	21	and	and	CCONJ
cana-1586	5	22	higher	high	ADJ
cana-1586	5	23	education	education	NOUN
cana-1586	5	24	for	for	ADP
cana-1586	5	25	women	woman	NOUN
cana-1586	5	26	.	.	PUNCT
cana-1586	6	1	introduction	introduction	NOUN
cana-1586	6	2	zadeh	zadeh	NOUN
cana-1586	7	1	[	[	X
cana-1586	7	2	1	1	X
cana-1586	7	3	]	]	PUNCT
cana-1586	7	4	in	in	ADP
cana-1586	7	5	1965	1965	NUM
cana-1586	7	6	interposed	interpose	VERB
cana-1586	7	7	a	a	DET
cana-1586	7	8	new	new	ADJ
cana-1586	7	9	type	type	NOUN
cana-1586	7	10	of	of	ADP
cana-1586	7	11	set	set	NOUN
cana-1586	7	12	called	call	VERB
cana-1586	7	13	fuzzy	fuzzy	ADJ
cana-1586	7	14	sets	set	NOUN
cana-1586	7	15	as	as	ADP
cana-1586	7	16	a	a	DET
cana-1586	7	17	powerful	powerful	ADJ
cana-1586	7	18	tool	tool	NOUN
cana-1586	7	19	to	to	PART
cana-1586	7	20	study	study	VERB
cana-1586	7	21	vagueness	vagueness	NOUN
cana-1586	7	22	.the	.the	PUNCT
cana-1586	8	1	overview	overview	NOUN
cana-1586	8	2	of	of	ADP
cana-1586	8	3	fuzzy	fuzzy	ADJ
cana-1586	8	4	topological	topological	ADJ
cana-1586	8	5	space	space	NOUN
cana-1586	8	6	was	be	AUX
cana-1586	8	7	putforth	putforth	NOUN
cana-1586	8	8	by	by	ADP
cana-1586	8	9	chang	chang	PROPN
cana-1586	9	1	[	[	X
cana-1586	9	2	2	2	NUM
cana-1586	9	3	]	]	PUNCT
cana-1586	9	4	in	in	ADP
cana-1586	9	5	1968	1968	NUM
cana-1586	9	6	.	.	PUNCT
cana-1586	10	1	lowen	lowen	PROPN
cana-1586	11	1	[	[	X
cana-1586	11	2	3	3	X
cana-1586	11	3	]	]	PUNCT
cana-1586	11	4	provided	provide	VERB
cana-1586	11	5	many	many	ADJ
cana-1586	11	6	important	important	ADJ
cana-1586	11	7	concepts	concept	NOUN
cana-1586	11	8	for	for	ADP
cana-1586	11	9	the	the	DET
cana-1586	11	10	construction	construction	NOUN
cana-1586	11	11	of	of	ADP
cana-1586	11	12	topological	topological	ADJ
cana-1586	11	13	fuzzy	fuzzy	ADJ
cana-1586	11	14	space	space	NOUN
cana-1586	11	15	.	.	PUNCT
cana-1586	12	1	soft	soft	ADJ
cana-1586	12	2	set	set	NOUN
cana-1586	12	3	theory	theory	NOUN
cana-1586	12	4	introduced	introduce	VERB
cana-1586	12	5	by	by	ADP
cana-1586	12	6	georgy	georgy	PROPN
cana-1586	12	7	molodotsov	molodotsov	PROPN
cana-1586	13	1	[	[	X
cana-1586	13	2	4	4	X
cana-1586	13	3	]	]	PUNCT
cana-1586	13	4	in	in	ADP
cana-1586	13	5	1999	1999	NUM
cana-1586	13	6	was	be	AUX
cana-1586	13	7	widely	widely	ADV
cana-1586	13	8	used	use	VERB
cana-1586	13	9	in	in	ADP
cana-1586	13	10	different	different	ADJ
cana-1586	13	11	fields	field	NOUN
cana-1586	13	12	of	of	ADP
cana-1586	13	13	mathematics	mathematic	NOUN
cana-1586	13	14	.	.	PUNCT
cana-1586	14	1	maji	maji	PROPN
cana-1586	14	2	and	and	CCONJ
cana-1586	14	3	roy	roy	PROPN
cana-1586	15	1	[	[	X
cana-1586	15	2	5	5	NUM
cana-1586	15	3	]	]	PUNCT
cana-1586	15	4	presented	present	VERB
cana-1586	15	5	a	a	DET
cana-1586	15	6	novel	novel	ADJ
cana-1586	15	7	theory	theory	NOUN
cana-1586	15	8	for	for	ADP
cana-1586	15	9	fuzzy	fuzzy	ADJ
cana-1586	15	10	soft	soft	ADJ
cana-1586	15	11	sets	set	NOUN
cana-1586	15	12	in	in	ADP
cana-1586	15	13	2001	2001	NUM
cana-1586	15	14	by	by	ADP
cana-1586	15	15	merging	merge	VERB
cana-1586	15	16	the	the	DET
cana-1586	15	17	concepts	concept	NOUN
cana-1586	15	18	of	of	ADP
cana-1586	15	19	fuzzy	fuzzy	ADJ
cana-1586	15	20	sets	set	NOUN
cana-1586	15	21	and	and	CCONJ
cana-1586	15	22	soft	soft	ADJ
cana-1586	15	23	sets	set	NOUN
cana-1586	15	24	.	.	PUNCT
cana-1586	16	1	in	in	ADP
cana-1586	16	2	recent	recent	ADJ
cana-1586	16	3	times	time	NOUN
cana-1586	16	4	,	,	PUNCT
cana-1586	16	5	nano	nano	NOUN
cana-1586	16	6	topology	topology	NOUN
cana-1586	16	7	has	have	AUX
cana-1586	16	8	become	become	VERB
cana-1586	16	9	an	an	DET
cana-1586	16	10	important	important	ADJ
cana-1586	16	11	topic	topic	NOUN
cana-1586	16	12	in	in	ADP
cana-1586	16	13	topological	topological	ADJ
cana-1586	16	14	field	field	NOUN
cana-1586	16	15	which	which	PRON
cana-1586	16	16	was	be	AUX
cana-1586	16	17	introduced	introduce	VERB
cana-1586	16	18	by	by	ADP
cana-1586	16	19	lellis	lellis	PROPN
cana-1586	16	20	thivagar	thivagar	NOUN
cana-1586	16	21	and	and	CCONJ
cana-1586	16	22	carmel	carmel	PROPN
cana-1586	16	23	richard	richard	PROPN
cana-1586	17	1	[	[	X
cana-1586	17	2	6	6	NUM
cana-1586	17	3	]	]	PUNCT
cana-1586	17	4	in	in	ADP
cana-1586	17	5	2013	2013	NUM
cana-1586	17	6	.	.	PUNCT
cana-1586	18	1	nano	nano	ADJ
cana-1586	18	2	soft	soft	ADJ
cana-1586	18	3	sets	set	NOUN
cana-1586	18	4	and	and	CCONJ
cana-1586	18	5	nano	nano	NOUN
cana-1586	18	6	soft	soft	ADJ
cana-1586	18	7	topological	topological	ADJ
cana-1586	18	8	space	space	NOUN
cana-1586	18	9	were	be	AUX
cana-1586	18	10	introduced	introduce	VERB
cana-1586	18	11	and	and	CCONJ
cana-1586	18	12	analysed	analyse	VERB
cana-1586	18	13	by	by	ADP
cana-1586	18	14	m.	m.	NOUN
cana-1586	18	15	lellis	lellis	PROPN
cana-1586	18	16	thivagar	thivagar	NOUN
cana-1586	18	17	and	and	CCONJ
cana-1586	18	18	s.	s.	PROPN
cana-1586	18	19	p.	p.	PROPN
cana-1586	18	20	r.	r.	PROPN
cana-1586	18	21	priyalatha	priyalatha	PROPN
cana-1586	19	1	[	[	X
cana-1586	19	2	7	7	X
cana-1586	19	3	]	]	PUNCT
cana-1586	19	4	in	in	ADP
cana-1586	19	5	2017	2017	NUM
cana-1586	19	6	.	.	PUNCT
cana-1586	20	1	nano	nano	NOUN
cana-1586	20	2	generalized	generalize	VERB
cana-1586	20	3	fuzzy	fuzzy	ADJ
cana-1586	20	4	sets	set	NOUN
cana-1586	20	5	and	and	CCONJ
cana-1586	20	6	nano	nano	NOUN
cana-1586	20	7	fuzzy	fuzzy	ADJ
cana-1586	20	8	topological	topological	ADJ
cana-1586	20	9	spaces	space	NOUN
cana-1586	20	10	were	be	AUX
cana-1586	20	11	introduced	introduce	VERB
cana-1586	20	12	by	by	ADP
cana-1586	20	13	purva	purva	PROPN
cana-1586	20	14	rajwade	rajwade	PROPN
cana-1586	20	15	,	,	PUNCT
cana-1586	20	16	rachna	rachna	VERB
cana-1586	20	17	navalakhe	navalakhe	ADJ
cana-1586	20	18	and	and	CCONJ
cana-1586	20	19	vaibhav	vaibhav	NOUN
cana-1586	20	20	jain[11	jain[11	PROPN
cana-1586	20	21	]	]	X
cana-1586	20	22	in	in	ADP
cana-1586	20	23	2022	2022	NUM
cana-1586	20	24	.	.	PUNCT
cana-1586	21	1	as	as	ADP
cana-1586	21	2	an	an	DET
cana-1586	21	3	extension	extension	NOUN
cana-1586	21	4	of	of	ADP
cana-1586	21	5	these	these	DET
cana-1586	21	6	two	two	NUM
cana-1586	21	7	sets	set	VERB
cana-1586	21	8	nano	nano	VERB
cana-1586	21	9	fuzzy	fuzzy	ADJ
cana-1586	21	10	soft	soft	ADJ
cana-1586	21	11	sets	set	NOUN
cana-1586	21	12	and	and	CCONJ
cana-1586	21	13	nano	nano	NOUN
cana-1586	21	14	fuzzy	fuzzy	ADJ
cana-1586	21	15	soft	soft	ADJ
cana-1586	21	16	topological	topological	ADJ
cana-1586	21	17	spaces	space	NOUN
cana-1586	21	18	are	be	AUX
cana-1586	21	19	being	be	AUX
cana-1586	21	20	introduced	introduce	VERB
cana-1586	21	21	and	and	CCONJ
cana-1586	21	22	investigated	investigate	VERB
cana-1586	21	23	.	.	PUNCT
cana-1586	22	1	article	article	NOUN
cana-1586	22	2	history	history	NOUN
cana-1586	22	3	:	:	PUNCT
cana-1586	22	4	received	receive	VERB
cana-1586	22	5	:	:	PUNCT
cana-1586	22	6	22	22	NUM
cana-1586	22	7	-	-	PUNCT
cana-1586	22	8	04	04	NUM
cana-1586	22	9	-	-	PUNCT
cana-1586	22	10	2024	2024	NUM
cana-1586	22	11	revised	revise	VERB
cana-1586	22	12	:	:	PUNCT
cana-1586	22	13	12	12	NUM
cana-1586	22	14	-	-	PUNCT
cana-1586	22	15	06	06	NUM
cana-1586	22	16	-	-	PUNCT
cana-1586	22	17	2024	2024	NUM
cana-1586	22	18	accepted	accept	VERB
cana-1586	22	19	:	:	PUNCT
cana-1586	22	20	25	25	NUM
cana-1586	22	21	-	-	PUNCT
cana-1586	22	22	06	06	NUM
cana-1586	22	23	-	-	PUNCT
cana-1586	22	24	2024	2024	NUM
cana-1586	22	25	abstract	abstract	NOUN
cana-1586	22	26	the	the	DET
cana-1586	22	27	important	important	ADJ
cana-1586	22	28	theme	theme	NOUN
cana-1586	22	29	of	of	ADP
cana-1586	22	30	this	this	DET
cana-1586	22	31	paper	paper	NOUN
cana-1586	22	32	is	be	AUX
cana-1586	22	33	to	to	PART
cana-1586	22	34	define	define	VERB
cana-1586	22	35	a	a	DET
cana-1586	22	36	lower	low	ADJ
cana-1586	22	37	and	and	CCONJ
cana-1586	22	38	upper	upper	ADJ
cana-1586	22	39	approximation	approximation	NOUN
cana-1586	22	40	for	for	ADP
cana-1586	22	41	the	the	DET
cana-1586	22	42	set	set	NOUN
cana-1586	22	43	under	under	ADP
cana-1586	22	44	consideration	consideration	NOUN
cana-1586	22	45	in	in	ADP
cana-1586	22	46	order	order	NOUN
cana-1586	22	47	to	to	PART
cana-1586	22	48	examine	examine	VERB
cana-1586	22	49	a	a	DET
cana-1586	22	50	novel	novel	ADJ
cana-1586	22	51	class	class	NOUN
cana-1586	22	52	of	of	ADP
cana-1586	22	53	topological	topological	ADJ
cana-1586	22	54	field	field	NOUN
cana-1586	22	55	known	know	VERB
cana-1586	22	56	as	as	ADP
cana-1586	22	57	nano	nano	NOUN
cana-1586	22	58	fuzzy	fuzzy	ADJ
cana-1586	22	59	soft	soft	ADJ
cana-1586	22	60	topological	topological	ADJ
cana-1586	22	61	space	space	NOUN
cana-1586	22	62	.	.	PUNCT
cana-1586	23	1	fuzzy	fuzzy	ADJ
cana-1586	23	2	topology	topology	NOUN
cana-1586	23	3	coverts	covert	NOUN
cana-1586	23	4	ordered	order	VERB
cana-1586	23	5	structure	structure	NOUN
cana-1586	23	6	to	to	ADP
cana-1586	23	7	topological	topological	ADJ
cana-1586	23	8	structure	structure	NOUN
cana-1586	23	9	by	by	ADP
cana-1586	23	10	using	use	VERB
cana-1586	23	11	by	by	ADP
cana-1586	23	12	its	its	PRON
cana-1586	23	13	own	own	ADJ
cana-1586	23	14	criteria	criterion	NOUN
cana-1586	23	15	conditions	condition	NOUN
cana-1586	23	16	.	.	PUNCT
cana-1586	24	1	nano	nano	NOUN
cana-1586	24	2	topology	topology	NOUN
cana-1586	24	3	is	be	AUX
cana-1586	24	4	defined	define	VERB
cana-1586	24	5	with	with	ADP
cana-1586	24	6	the	the	DET
cana-1586	24	7	help	help	NOUN
cana-1586	24	8	of	of	ADP
cana-1586	24	9	equivalence	equivalence	NOUN
cana-1586	24	10	relation	relation	NOUN
cana-1586	24	11	so	so	SCONJ
cana-1586	24	12	that	that	SCONJ
cana-1586	24	13	even	even	ADV
cana-1586	24	14	micro	micro	ADJ
cana-1586	24	15	spacing	spacing	NOUN
cana-1586	24	16	is	be	AUX
cana-1586	24	17	included	include	VERB
cana-1586	24	18	in	in	ADP
cana-1586	24	19	the	the	DET
cana-1586	24	20	topological	topological	ADJ
cana-1586	24	21	space	space	NOUN
cana-1586	24	22	.	.	PUNCT
cana-1586	25	1	the	the	DET
cana-1586	25	2	condition	condition	NOUN
cana-1586	25	3	of	of	ADP
cana-1586	25	4	these	these	DET
cana-1586	25	5	two	two	NUM
cana-1586	25	6	topological	topological	ADJ
cana-1586	25	7	space	space	NOUN
cana-1586	25	8	has	have	AUX
cana-1586	25	9	been	be	AUX
cana-1586	25	10	merged	merge	VERB
cana-1586	25	11	and	and	CCONJ
cana-1586	25	12	a	a	DET
cana-1586	25	13	new	new	ADJ
cana-1586	25	14	space	space	NOUN
cana-1586	25	15	known	know	VERB
cana-1586	25	16	as	as	ADP
cana-1586	25	17	nano	nano	NOUN
cana-1586	25	18	fuzzy	fuzzy	ADJ
cana-1586	25	19	topological	topological	ADJ
cana-1586	25	20	space	space	NOUN
cana-1586	25	21	has	have	AUX
cana-1586	25	22	been	be	AUX
cana-1586	25	23	investigated	investigate	VERB
cana-1586	25	24	and	and	CCONJ
cana-1586	25	25	studied	study	VERB
cana-1586	25	26	.	.	PUNCT
cana-1586	26	1	soft	soft	ADJ
cana-1586	26	2	sets	set	NOUN
cana-1586	26	3	are	be	AUX
cana-1586	26	4	an	an	DET
cana-1586	26	5	abstraction	abstraction	NOUN
cana-1586	26	6	of	of	ADP
cana-1586	26	7	fuzzy	fuzzy	ADJ
cana-1586	26	8	set	set	NOUN
cana-1586	26	9	theory	theory	NOUN
cana-1586	26	10	which	which	PRON
cana-1586	26	11	was	be	AUX
cana-1586	26	12	interposed	interpose	VERB
cana-1586	26	13	to	to	PART
cana-1586	26	14	deal	deal	VERB
cana-1586	26	15	with	with	ADP
cana-1586	26	16	uncertainty	uncertainty	NOUN
cana-1586	26	17	conditions	condition	NOUN
cana-1586	26	18	using	use	VERB
cana-1586	26	19	parameters	parameter	NOUN
cana-1586	26	20	.	.	PUNCT
cana-1586	27	1	using	use	VERB
cana-1586	27	2	soft	soft	ADJ
cana-1586	27	3	sets	set	NOUN
cana-1586	27	4	,	,	PUNCT
cana-1586	27	5	nano	nano	NOUN
cana-1586	27	6	fuzzy	fuzzy	ADJ
cana-1586	27	7	topology	topology	NOUN
cana-1586	27	8	can	can	AUX
cana-1586	27	9	be	be	AUX
cana-1586	27	10	extended	extend	VERB
cana-1586	27	11	to	to	ADP
cana-1586	27	12	a	a	DET
cana-1586	27	13	new	new	ADJ
cana-1586	27	14	form	form	NOUN
cana-1586	27	15	called	call	VERB
cana-1586	27	16	nano	nano	ADJ
cana-1586	27	17	fuzzy	fuzzy	ADJ
cana-1586	27	18	soft	soft	ADJ
cana-1586	27	19	topological	topological	ADJ
cana-1586	27	20	space	space	NOUN
cana-1586	27	21	and	and	CCONJ
cana-1586	27	22	it	it	PRON
cana-1586	27	23	can	can	AUX
cana-1586	27	24	be	be	AUX
cana-1586	27	25	used	use	VERB
cana-1586	27	26	to	to	PART
cana-1586	27	27	study	study	VERB
cana-1586	27	28	matters	matter	NOUN
cana-1586	27	29	of	of	ADP
cana-1586	27	30	vagueness	vagueness	NOUN
cana-1586	27	31	by	by	ADP
cana-1586	27	32	defining	define	VERB
cana-1586	27	33	a	a	DET
cana-1586	27	34	proper	proper	ADJ
cana-1586	27	35	boundary	boundary	ADJ
cana-1586	27	36	layer	layer	NOUN
cana-1586	27	37	.	.	PUNCT
cana-1586	28	1	since	since	SCONJ
cana-1586	28	2	this	this	DET
cana-1586	28	3	concept	concept	NOUN
cana-1586	28	4	depends	depend	VERB
cana-1586	28	5	upon	upon	SCONJ
cana-1586	28	6	defining	define	VERB
cana-1586	28	7	appropriate	appropriate	ADJ
cana-1586	28	8	boundary	boundary	ADJ
cana-1586	28	9	layers	layer	NOUN
cana-1586	28	10	using	use	VERB
cana-1586	28	11	topological	topological	ADJ
cana-1586	28	12	concepts	concept	NOUN
cana-1586	28	13	,	,	PUNCT
cana-1586	28	14	it	it	PRON
cana-1586	28	15	easy	easy	ADJ
cana-1586	28	16	to	to	PART
cana-1586	28	17	determine	determine	VERB
cana-1586	28	18	the	the	DET
cana-1586	28	19	key	key	ADJ
cana-1586	28	20	components	component	NOUN
cana-1586	28	21	for	for	ADP
cana-1586	28	22	a	a	DET
cana-1586	28	23	particular	particular	ADJ
cana-1586	28	24	problem	problem	NOUN
cana-1586	28	25	by	by	ADP
cana-1586	28	26	properly	properly	ADV
cana-1586	28	27	defining	define	VERB
cana-1586	28	28	three	three	NUM
cana-1586	28	29	important	important	ADJ
cana-1586	28	30	regions	region	NOUN
cana-1586	28	31	which	which	PRON
cana-1586	28	32	are	be	AUX
cana-1586	28	33	upper	upper	ADJ
cana-1586	28	34	approximation	approximation	NOUN
cana-1586	28	35	area	area	NOUN
cana-1586	28	36	,	,	PUNCT
cana-1586	28	37	lower	low	ADJ
cana-1586	28	38	approximation	approximation	NOUN
cana-1586	28	39	area	area	NOUN
cana-1586	28	40	and	and	CCONJ
cana-1586	28	41	boundary	boundary	ADJ
cana-1586	28	42	region	region	NOUN
cana-1586	28	43	.	.	PUNCT
cana-1586	29	1	the	the	DET
cana-1586	29	2	use	use	NOUN
cana-1586	29	3	of	of	ADP
cana-1586	29	4	nano	nano	ADJ
cana-1586	29	5	fuzzy	fuzzy	ADJ
cana-1586	29	6	soft	soft	ADJ
cana-1586	29	7	topological	topological	ADJ
cana-1586	29	8	space	space	NOUN
cana-1586	29	9	in	in	ADP
cana-1586	29	10	predicting	predict	VERB
cana-1586	29	11	the	the	DET
cana-1586	29	12	cause	cause	NOUN
cana-1586	29	13	of	of	ADP
cana-1586	29	14	a	a	DET
cana-1586	29	15	disease	disease	NOUN
cana-1586	29	16	has	have	AUX
cana-1586	29	17	been	be	AUX
cana-1586	29	18	discussed	discuss	VERB
cana-1586	29	19	in	in	ADP
cana-1586	29	20	this	this	DET
cana-1586	29	21	paper	paper	NOUN
cana-1586	29	22	.	.	PUNCT
cana-1586	30	1	it	it	PRON
cana-1586	30	2	can	can	AUX
cana-1586	30	3	be	be	AUX
cana-1586	30	4	extended	extend	VERB
cana-1586	30	5	to	to	PART
cana-1586	30	6	study	study	VERB
cana-1586	30	7	any	any	DET
cana-1586	30	8	complex	complex	ADJ
cana-1586	30	9	problems	problem	NOUN
cana-1586	30	10	in	in	ADP
cana-1586	30	11	real	real	ADJ
cana-1586	30	12	life	life	NOUN
cana-1586	30	13	by	by	ADP
cana-1586	30	14	converting	convert	VERB
cana-1586	30	15	it	it	PRON
cana-1586	30	16	to	to	ADP
cana-1586	30	17	a	a	DET
cana-1586	30	18	nano	nano	ADJ
cana-1586	30	19	fuzzy	fuzzy	ADJ
cana-1586	30	20	soft	soft	ADJ
cana-1586	30	21	topological	topological	ADJ
cana-1586	30	22	space	space	NOUN
cana-1586	30	23	using	use	VERB
cana-1586	30	24	the	the	DET
cana-1586	30	25	three	three	NUM
cana-1586	30	26	main	main	ADJ
cana-1586	30	27	key	key	ADJ
cana-1586	30	28	factors	factor	NOUN
cana-1586	30	29	.	.	PUNCT
cana-1586	31	1	keywords	keyword	NOUN
cana-1586	31	2	:	:	PUNCT
cana-1586	31	3	topological	topological	ADJ
cana-1586	31	4	space	space	NOUN
cana-1586	31	5	,	,	PUNCT
cana-1586	31	6	mathematical	mathematical	ADJ
cana-1586	31	7	analysis	analysis	NOUN
cana-1586	31	8	.	.	PUNCT
cana-1586	32	1	communications	communication	NOUN
cana-1586	32	2	on	on	ADP
cana-1586	32	3	applied	apply	VERB
cana-1586	32	4	nonlinear	nonlinear	ADJ
cana-1586	32	5	analysis	analysis	NOUN
cana-1586	32	6	issn	issn	NOUN
cana-1586	32	7	:	:	PUNCT
cana-1586	32	8	1074	1074	NUM
cana-1586	32	9	-	-	PUNCT
cana-1586	32	10	133x	133x	NUM
cana-1586	32	11	vol	vol	NOUN
cana-1586	32	12	31	31	NUM
cana-1586	32	13	no	no	NOUN
cana-1586	32	14	.	.	PUNCT
cana-1586	33	1	8s	8s	PROPN
cana-1586	33	2	(	(	PUNCT
cana-1586	33	3	2024	2024	NUM
cana-1586	33	4	)	)	PUNCT
cana-1586	33	5	748	748	NUM
cana-1586	33	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1586	33	7	2.preliminary	2.preliminary	NUM
cana-1586	33	8	definitions	definition	NOUN
cana-1586	33	9	definition	definition	NOUN
cana-1586	33	10	2.1[1	2.1[1	X
cana-1586	33	11	]	]	X
cana-1586	33	12	let	let	VERB
cana-1586	33	13	r	r	AUX
cana-1586	33	14	"	"	PUNCT
cana-1586	33	15	be	be	AUX
cana-1586	33	16	an	an	DET
cana-1586	33	17	equivalency	equivalency	NOUN
cana-1586	33	18	relation	relation	NOUN
cana-1586	33	19	on	on	ADP
cana-1586	33	20	u	u	PRON
cana-1586	33	21	known	know	VERB
cana-1586	33	22	as	as	ADP
cana-1586	33	23	the	the	DET
cana-1586	33	24	indiscernibility	indiscernibility	NOUN
cana-1586	33	25	relation	relation	NOUN
cana-1586	33	26	,	,	PUNCT
cana-1586	33	27	and	and	CCONJ
cana-1586	33	28	let	let	VERB
cana-1586	33	29	u	u	PRON
cana-1586	33	30	be	be	AUX
cana-1586	33	31	a	a	DET
cana-1586	33	32	finite	finite	ADJ
cana-1586	33	33	non	non	X
cana-1586	33	34	–	–	PUNCT
cana-1586	33	35	empty	empty	ADJ
cana-1586	33	36	set	set	NOUN
cana-1586	33	37	with	with	ADP
cana-1586	33	38	objects	object	NOUN
cana-1586	33	39	termed	term	VERB
cana-1586	33	40	as	as	ADP
cana-1586	33	41	the	the	DET
cana-1586	33	42	universe	universe	NOUN
cana-1586	33	43	.	.	PUNCT
cana-1586	34	1	it	it	PRON
cana-1586	34	2	is	be	AUX
cana-1586	34	3	argued	argue	VERB
cana-1586	34	4	that	that	SCONJ
cana-1586	34	5	elements	element	NOUN
cana-1586	34	6	in	in	ADP
cana-1586	34	7	the	the	DET
cana-1586	34	8	same	same	ADJ
cana-1586	34	9	equivalency	equivalency	NOUN
cana-1586	34	10	class	class	NOUN
cana-1586	34	11	are	be	AUX
cana-1586	34	12	indistinguishable	indistinguishable	ADJ
cana-1586	34	13	from	from	ADP
cana-1586	34	14	one	one	NUM
cana-1586	34	15	another	another	DET
cana-1586	34	16	.	.	PUNCT
cana-1586	35	1	the	the	DET
cana-1586	35	2	set	set	NOUN
cana-1586	35	3	(	(	PUNCT
cana-1586	35	4	)	)	PUNCT
cana-1586	35	5	r"u	r"u	PROPN
cana-1586	35	6	,	,	PUNCT
cana-1586	35	7	is	be	AUX
cana-1586	35	8	said	say	VERB
cana-1586	35	9	to	to	PART
cana-1586	35	10	be	be	AUX
cana-1586	35	11	the	the	DET
cana-1586	35	12	approximation	approximation	NOUN
cana-1586	35	13	space	space	NOUN
cana-1586	35	14	.	.	PUNCT
cana-1586	36	1	let	let	VERB
cana-1586	36	2	uy	uy	ADJ
cana-1586	36	3	.	.	PUNCT
cana-1586	37	1	(	(	PUNCT
cana-1586	37	2	i	i	NOUN
cana-1586	37	3	)	)	PUNCT
cana-1586	37	4	the	the	DET
cana-1586	37	5	collection	collection	NOUN
cana-1586	37	6	of	of	ADP
cana-1586	37	7	all	all	DET
cana-1586	37	8	objects	object	NOUN
cana-1586	37	9	that	that	PRON
cana-1586	37	10	may	may	AUX
cana-1586	37	11	be	be	AUX
cana-1586	37	12	categorised	categorise	VERB
cana-1586	37	13	as	as	ADP
cana-1586	37	14	y	y	PROPN
cana-1586	37	15	with	with	ADP
cana-1586	37	16	regard	regard	NOUN
cana-1586	37	17	to	to	ADP
cana-1586	37	18	r	r	NOUN
cana-1586	37	19	"	"	PUNCT
cana-1586	37	20	is	be	AUX
cana-1586	37	21	the	the	DET
cana-1586	37	22	lower	low	ADJ
cana-1586	37	23	approximation	approximation	NOUN
cana-1586	37	24	area	area	NOUN
cana-1586	37	25	of	of	ADP
cana-1586	37	26	y	y	PROPN
cana-1586	37	27	regarding	regard	VERB
cana-1586	37	28	to	to	ADP
cana-1586	37	29	r	r	NOUN
cana-1586	37	30	"	"	PUNCT
cana-1586	37	31	,	,	PUNCT
cana-1586	37	32	and	and	CCONJ
cana-1586	37	33	it	it	PRON
cana-1586	37	34	is	be	AUX
cana-1586	37	35	represented	represent	VERB
cana-1586	37	36	by	by	ADP
cana-1586	37	37	(	(	PUNCT
cana-1586	37	38	y	y	NOUN
cana-1586	37	39	)	)	PUNCT
cana-1586	37	40	r	r	NOUN
cana-1586	37	41	"	"	PUNCT
cana-1586	37	42	lr	lr	NOUN
cana-1586	37	43	.	.	PUNCT
cana-1586	38	1	(	(	PUNCT
cana-1586	38	2	)	)	PUNCT
cana-1586	38	3	(	(	PUNCT
cana-1586	38	4	)	)	PUNCT
cana-1586	38	5			NOUN
cana-1586	38	6			ADJ
cana-1586	38	7	uy	uy	NOUN
cana-1586	38	8	yyr":yr"(y)r"lr	yyr":yr"(y)r"lr	NUM
cana-1586	38	9			PROPN
cana-1586	38	10	=	=	PROPN
cana-1586	38	11	where	where	SCONJ
cana-1586	38	12	(	(	PUNCT
cana-1586	38	13	)	)	PUNCT
cana-1586	38	14	yr	yr	AUX
cana-1586	38	15	"	"	PUNCT
cana-1586	38	16	denotes	denote	VERB
cana-1586	38	17	the	the	DET
cana-1586	38	18	equivalence	equivalence	NOUN
cana-1586	38	19	class	class	NOUN
cana-1586	38	20	determined	determine	VERB
cana-1586	38	21	by	by	ADP
cana-1586	38	22	y	y	PROPN
cana-1586	38	23	.	.	PUNCT
cana-1586	39	1	(	(	PUNCT
cana-1586	39	2	ii	ii	X
cana-1586	39	3	)	)	PUNCT
cana-1586	39	4	the	the	DET
cana-1586	39	5	set	set	NOUN
cana-1586	39	6	containing	contain	VERB
cana-1586	39	7	all	all	DET
cana-1586	39	8	the	the	DET
cana-1586	39	9	objects	object	NOUN
cana-1586	39	10	that	that	PRON
cana-1586	39	11	may	may	AUX
cana-1586	39	12	be	be	AUX
cana-1586	39	13	categorised	categorise	VERB
cana-1586	39	14	as	as	ADP
cana-1586	39	15	y	y	PROPN
cana-1586	39	16	with	with	ADP
cana-1586	39	17	regard	regard	NOUN
cana-1586	39	18	to	to	ADP
cana-1586	39	19	r	r	NOUN
cana-1586	39	20	"	"	PUNCT
cana-1586	39	21	is	be	AUX
cana-1586	39	22	the	the	DET
cana-1586	39	23	upper	upper	ADJ
cana-1586	39	24	approximation	approximation	NOUN
cana-1586	39	25	area	area	NOUN
cana-1586	39	26	of	of	ADP
cana-1586	39	27	y	y	PROPN
cana-1586	39	28	regarding	regard	VERB
cana-1586	39	29	r	r	NOUN
cana-1586	39	30	"	"	PUNCT
cana-1586	39	31	,	,	PUNCT
cana-1586	39	32	and	and	CCONJ
cana-1586	39	33	it	it	PRON
cana-1586	39	34	is	be	AUX
cana-1586	39	35	represented	represent	VERB
cana-1586	39	36	by	by	ADP
cana-1586	39	37	(	(	PUNCT
cana-1586	39	38	y	y	NOUN
cana-1586	39	39	)	)	PUNCT
cana-1586	39	40	r	r	NOUN
cana-1586	39	41	"	"	PUNCT
cana-1586	39	42	ur	ur	INTJ
cana-1586	39	43	.	.	PUNCT
cana-1586	40	1	(	(	PUNCT
cana-1586	40	2	)	)	PUNCT
cana-1586	40	3	(	(	PUNCT
cana-1586	40	4	)	)	PUNCT
cana-1586	40	5			PROPN
cana-1586	40	6			ADJ
cana-1586	40	7			NOUN
cana-1586	40	8	uy	uy	ADP
cana-1586	40	9	φyyr":yr"(y)r"ur	φyyr":yr"(y)r"ur	PROPN
cana-1586	40	10			NOUN
cana-1586	40	11	=	=	NOUN
cana-1586	40	12	(	(	PUNCT
cana-1586	40	13	iii	iii	NOUN
cana-1586	40	14	)	)	PUNCT
cana-1586	40	15	the	the	DET
cana-1586	40	16	set	set	NOUN
cana-1586	40	17	containing	contain	VERB
cana-1586	40	18	all	all	DET
cana-1586	40	19	the	the	DET
cana-1586	40	20	objects	object	NOUN
cana-1586	40	21	that	that	PRON
cana-1586	40	22	can	can	AUX
cana-1586	40	23	be	be	AUX
cana-1586	40	24	categorised	categorise	VERB
cana-1586	40	25	as	as	ADP
cana-1586	40	26	x	x	PUNCT
cana-1586	40	27	with	with	ADP
cana-1586	40	28	regards	regard	NOUN
cana-1586	40	29	to	to	ADP
cana-1586	40	30	r	r	NOUN
cana-1586	40	31	"	"	PUNCT
cana-1586	40	32	is	be	AUX
cana-1586	40	33	the	the	DET
cana-1586	40	34	boundary	boundary	ADJ
cana-1586	40	35	area	area	NOUN
cana-1586	40	36	of	of	ADP
cana-1586	40	37	y	y	PROPN
cana-1586	40	38	with	with	ADP
cana-1586	40	39	reference	reference	NOUN
cana-1586	40	40	to	to	ADP
cana-1586	40	41	r	r	NOUN
cana-1586	40	42	"	"	PUNCT
cana-1586	40	43	,	,	PUNCT
cana-1586	40	44	and	and	CCONJ
cana-1586	40	45	it	it	PRON
cana-1586	40	46	is	be	AUX
cana-1586	40	47	represented	represent	VERB
cana-1586	40	48	by	by	ADP
cana-1586	40	49	(	(	PUNCT
cana-1586	40	50	y	y	NOUN
cana-1586	40	51	)	)	PUNCT
cana-1586	40	52	r	r	NOUN
cana-1586	40	53	"	"	PUNCT
cana-1586	40	54	by	by	ADV
cana-1586	40	55	.	.	PUNCT
cana-1586	41	1	(	(	PUNCT
cana-1586	41	2	y)r"lr(y)r"ur(y)r"by	y)r"lr(y)r"ur(y)r"by	PROPN
cana-1586	41	3	−=	−=	ADV
cana-1586	41	4	.	.	PUNCT
cana-1586	42	1	definition	definition	NOUN
cana-1586	42	2	2.2	2.2	NUM
cana-1586	43	1	[	[	X
cana-1586	43	2	1	1	NUM
cana-1586	43	3	]	]	PUNCT
cana-1586	43	4	:	:	PUNCT
cana-1586	43	5	let	let	VERB
cana-1586	43	6	u	u	PRON
cana-1586	43	7	represents	represent	VERB
cana-1586	43	8	the	the	DET
cana-1586	43	9	universe	universe	NOUN
cana-1586	43	10	,	,	PUNCT
cana-1586	43	11	and	and	CCONJ
cana-1586	43	12	let	let	VERB
cana-1586	43	13	r	r	VERB
cana-1586	43	14	"	"	PUNCT
cana-1586	43	15	be	be	AUX
cana-1586	43	16	an	an	DET
cana-1586	43	17	equivalency	equivalency	NOUN
cana-1586	43	18	relation	relation	NOUN
cana-1586	43	19	on	on	ADP
cana-1586	43	20	the	the	DET
cana-1586	43	21	universe	universe	NOUN
cana-1586	43	22	and	and	CCONJ
cana-1586	43	23	(	(	PUNCT
cana-1586	43	24	y)τr	y)τr	NOUN
cana-1586	43	25	"	"	PUNCT
cana-1586	43	26	be	be	AUX
cana-1586	43	27	defined	define	VERB
cana-1586	43	28	as	as	ADP
cana-1586	43	29			PROPN
cana-1586	43	30	(y)r"by(y),r"lr(y),r"urφ	(y)r"by(y),r"lr(y),r"urφ	PROPN
cana-1586	43	31	,	,	PUNCT
cana-1586	43	32	u,(y)r"τ	u,(y)r"τ	NOUN
cana-1586	43	33	=	=	SYM
cana-1586	43	34	where	where	SCONJ
cana-1586	43	35	u.y	u.y	ADJ
cana-1586	43	36	then	then	ADV
cana-1586	43	37	(	(	PUNCT
cana-1586	43	38	y)τr	y)τr	NOUN
cana-1586	43	39	"	"	PUNCT
cana-1586	43	40	satisfies	satisfy	VERB
cana-1586	43	41	the	the	DET
cana-1586	43	42	given	give	VERB
cana-1586	43	43	conditions	condition	NOUN
cana-1586	43	44	,	,	PUNCT
cana-1586	43	45	(	(	PUNCT
cana-1586	43	46	i	i	NOUN
cana-1586	43	47	)	)	PUNCT
cana-1586	43	48	(	(	PUNCT
cana-1586	43	49	)	)	PUNCT
cana-1586	43	50	yτφ	yτφ	PROPN
cana-1586	43	51	and	and	CCONJ
cana-1586	43	52	u	u	PRON
cana-1586	43	53	r"	r"	X
cana-1586	43	54	(	(	PUNCT
cana-1586	43	55	ii	ii	NOUN
cana-1586	43	56	)	)	PUNCT
cana-1586	43	57	the	the	DET
cana-1586	43	58	union	union	NOUN
cana-1586	43	59	of	of	ADP
cana-1586	43	60	all	all	DET
cana-1586	43	61	the	the	DET
cana-1586	43	62	elements	element	NOUN
cana-1586	43	63	of	of	ADP
cana-1586	43	64	any	any	DET
cana-1586	43	65	subclass	subclass	NOUN
cana-1586	43	66	of	of	ADP
cana-1586	43	67	(	(	PUNCT
cana-1586	43	68	y)τr	y)τr	NOUN
cana-1586	43	69	"	"	PUNCT
cana-1586	43	70	is	be	AUX
cana-1586	43	71	in	in	ADP
cana-1586	43	72	(	(	PUNCT
cana-1586	43	73	y)τr	y)τr	NOUN
cana-1586	43	74	"	"	PUNCT
cana-1586	43	75	.	.	PUNCT
cana-1586	44	1	(	(	PUNCT
cana-1586	44	2	iii)the	iii)the	DET
cana-1586	44	3	intersection	intersection	NOUN
cana-1586	44	4	of	of	ADP
cana-1586	44	5	the	the	DET
cana-1586	44	6	elements	element	NOUN
cana-1586	44	7	of	of	ADP
cana-1586	44	8	any	any	DET
cana-1586	44	9	finite	finite	ADJ
cana-1586	44	10	subclass	subclass	NOUN
cana-1586	44	11	of	of	ADP
cana-1586	44	12	(	(	PUNCT
cana-1586	44	13	y)τr	y)τr	NOUN
cana-1586	44	14	"	"	PUNCT
cana-1586	44	15	is	be	AUX
cana-1586	44	16	in	in	ADP
cana-1586	44	17	(	(	PUNCT
cana-1586	44	18	y)τr	y)τr	PROPN
cana-1586	44	19	"	"	PUNCT
cana-1586	44	20	i.e	i.e	PROPN
cana-1586	44	21	,	,	PUNCT
cana-1586	44	22	(	(	PUNCT
cana-1586	44	23	y)τr	y)τr	NOUN
cana-1586	44	24	"	"	PUNCT
cana-1586	44	25	is	be	AUX
cana-1586	44	26	a	a	DET
cana-1586	44	27	topology	topology	NOUN
cana-1586	44	28	on	on	ADP
cana-1586	44	29	the	the	DET
cana-1586	44	30	universe	universe	NOUN
cana-1586	44	31	called	call	VERB
cana-1586	44	32	the	the	DET
cana-1586	44	33	nt	nt	NOUN
cana-1586	44	34	on	on	ADP
cana-1586	44	35	u	u	NOUN
cana-1586	44	36	with	with	ADP
cana-1586	44	37	regards	regard	NOUN
cana-1586	44	38	to	to	ADP
cana-1586	44	39	y.	y.	PROPN
cana-1586	44	40	(	(	PUNCT
cana-1586	44	41	)	)	PUNCT
cana-1586	44	42	(	(	PUNCT
cana-1586	44	43	)	)	PUNCT
cana-1586	44	44	yτu	yτu	PROPN
cana-1586	44	45	,	,	PUNCT
cana-1586	44	46	r	r	NOUN
cana-1586	44	47	"	"	PUNCT
cana-1586	44	48	is	be	AUX
cana-1586	44	49	called	call	VERB
cana-1586	44	50	as	as	ADP
cana-1586	44	51	the	the	DET
cana-1586	44	52	nts	nt	NOUN
cana-1586	44	53	.	.	PUNCT
cana-1586	45	1	let	let	VERB
cana-1586	45	2	nano	nano	NOUN
cana-1586	45	3	topology	topology	NOUN
cana-1586	45	4	may	may	AUX
cana-1586	45	5	be	be	AUX
cana-1586	45	6	denoted	denote	VERB
cana-1586	45	7	by	by	ADP
cana-1586	45	8	nt	not	PART
cana-1586	45	9	,	,	PUNCT
cana-1586	45	10	nano	nano	ADJ
cana-1586	45	11	topological	topological	ADJ
cana-1586	45	12	space	space	NOUN
cana-1586	45	13	may	may	AUX
cana-1586	45	14	be	be	AUX
cana-1586	45	15	denoted	denote	VERB
cana-1586	45	16	by	by	ADP
cana-1586	45	17	nts	nt	NOUN
cana-1586	45	18	for	for	ADP
cana-1586	45	19	easy	easy	ADJ
cana-1586	45	20	reference	reference	NOUN
cana-1586	45	21	.	.	PUNCT
cana-1586	46	1	definition	definition	NOUN
cana-1586	46	2	2.3	2.3	NUM
cana-1586	47	1	[	[	X
cana-1586	47	2	1	1	NUM
cana-1586	47	3	]	]	X
cana-1586	47	4	:	:	PUNCT
cana-1586	47	5	if	if	SCONJ
cana-1586	47	6	(	(	PUNCT
cana-1586	47	7	)	)	PUNCT
cana-1586	47	8	(	(	PUNCT
cana-1586	47	9	)	)	PUNCT
cana-1586	47	10	yτu	yτu	PROPN
cana-1586	47	11	,	,	PUNCT
cana-1586	47	12	r	r	NOUN
cana-1586	47	13	"	"	PUNCT
cana-1586	47	14	is	be	AUX
cana-1586	47	15	a	a	DET
cana-1586	47	16	nts	nt	NOUN
cana-1586	47	17	with	with	ADP
cana-1586	47	18	regard	regard	NOUN
cana-1586	47	19	to	to	ADP
cana-1586	47	20	y	y	PRON
cana-1586	47	21	where	where	SCONJ
cana-1586	47	22	uy	uy	ADJ
cana-1586	47	23	and	and	CCONJ
cana-1586	47	24	if	if	SCONJ
cana-1586	47	25	ub	ub	PRON
cana-1586	47	26	,	,	PUNCT
cana-1586	47	27	then	then	ADV
cana-1586	47	28	,	,	PUNCT
cana-1586	47	29	nint(a	nint(a	NOUN
cana-1586	47	30	)	)	PUNCT
cana-1586	47	31	represents	represent	VERB
cana-1586	47	32	the	the	DET
cana-1586	47	33	largest	large	ADJ
cana-1586	47	34	nano	nano	NOUN
cana-1586	47	35	open	open	ADJ
cana-1586	47	36	subset	subset	NOUN
cana-1586	47	37	of	of	ADP
cana-1586	47	38	a	a	PRON
cana-1586	47	39	,	,	PUNCT
cana-1586	47	40	and	and	CCONJ
cana-1586	47	41	the	the	DET
cana-1586	47	42	nano	nano	ADJ
cana-1586	47	43	interior	interior	NOUN
cana-1586	47	44	of	of	ADP
cana-1586	47	45	b	b	PROPN
cana-1586	47	46	is	be	AUX
cana-1586	47	47	given	give	VERB
cana-1586	47	48	as	as	ADP
cana-1586	47	49	the	the	DET
cana-1586	47	50	union	union	NOUN
cana-1586	47	51	of	of	ADP
cana-1586	47	52	all	all	DET
cana-1586	47	53	nano	nano	VERB
cana-1586	47	54	open	open	ADJ
cana-1586	47	55	subsets	subset	NOUN
cana-1586	47	56	of	of	ADP
cana-1586	47	57	b.	b.	PROPN
cana-1586	47	58	ncl(b	ncl(b	PROPN
cana-1586	47	59	)	)	PUNCT
cana-1586	47	60	represents	represent	VERB
cana-1586	47	61	the	the	DET
cana-1586	47	62	nano	nano	NOUN
cana-1586	47	63	closure	closure	NOUN
cana-1586	47	64	of	of	ADP
cana-1586	47	65	b	b	NOUN
cana-1586	47	66	,	,	PUNCT
cana-1586	47	67	which	which	PRON
cana-1586	47	68	is	be	AUX
cana-1586	47	69	considered	consider	VERB
cana-1586	47	70	to	to	PART
cana-1586	47	71	be	be	AUX
cana-1586	47	72	the	the	DET
cana-1586	47	73	smallest	small	ADJ
cana-1586	47	74	nano	nano	NOUN
cana-1586	47	75	closed	close	VERB
cana-1586	47	76	set	set	NOUN
cana-1586	47	77	containing	contain	VERB
cana-1586	47	78	b.	b.	PROPN
cana-1586	47	79	it	it	PRON
cana-1586	47	80	is	be	AUX
cana-1586	47	81	considered	consider	VERB
cana-1586	47	82	as	as	ADP
cana-1586	47	83	the	the	DET
cana-1586	47	84	intersection	intersection	NOUN
cana-1586	47	85	of	of	ADP
cana-1586	47	86	all	all	DET
cana-1586	47	87	the	the	DET
cana-1586	47	88	given	give	VERB
cana-1586	47	89	nano	nano	NOUN
cana-1586	47	90	closed	close	VERB
cana-1586	47	91	sets	set	NOUN
cana-1586	47	92	containing	contain	VERB
cana-1586	47	93	b.	b.	PROPN
cana-1586	47	94	nano	nano	PROPN
cana-1586	47	95	soft	soft	ADJ
cana-1586	47	96	topological	topological	ADJ
cana-1586	47	97	space	space	NOUN
cana-1586	47	98	:	:	PUNCT
cana-1586	47	99	definition	definition	NOUN
cana-1586	47	100	2.4	2.4	NUM
cana-1586	48	1	[	[	X
cana-1586	48	2	2	2	NUM
cana-1586	48	3	]	]	PUNCT
cana-1586	48	4	let	let	AUX
cana-1586	48	5	eh	eh	INTJ
cana-1586	48	6	be	be	AUX
cana-1586	48	7	the	the	DET
cana-1586	48	8	given	give	VERB
cana-1586	48	9	soft	soft	ADJ
cana-1586	48	10	set	set	NOUN
cana-1586	48	11	over	over	ADP
cana-1586	48	12	u	u	NOUN
cana-1586	48	13	,	,	PUNCT
cana-1586	48	14	which	which	PRON
cana-1586	48	15	is	be	AUX
cana-1586	48	16	a	a	DET
cana-1586	48	17	finite	finite	ADJ
cana-1586	48	18	universe	universe	NOUN
cana-1586	48	19	,	,	PUNCT
cana-1586	48	20	and	and	CCONJ
cana-1586	48	21	r	r	AUX
cana-1586	48	22	"	"	PUNCT
cana-1586	48	23	be	be	AUX
cana-1586	48	24	a	a	DET
cana-1586	48	25	soft	soft	ADJ
cana-1586	48	26	equivalency	equivalency	NOUN
cana-1586	48	27	relation	relation	NOUN
cana-1586	48	28	on	on	ADP
cana-1586	48	29	eh	eh	INTJ
cana-1586	48	30	.	.	PUNCT
cana-1586	49	1	it	it	PRON
cana-1586	49	2	is	be	AUX
cana-1586	49	3	seen	see	VERB
cana-1586	49	4	that	that	SCONJ
cana-1586	49	5	the	the	DET
cana-1586	49	6	elements	element	NOUN
cana-1586	49	7	in	in	ADP
cana-1586	49	8	the	the	DET
cana-1586	49	9	soft	soft	ADJ
cana-1586	49	10	equivalency	equivalency	NOUN
cana-1586	49	11	class	class	NOUN
cana-1586	49	12	of	of	ADP
cana-1586	49	13	f(b	f(b	PROPN
cana-1586	49	14	)	)	PUNCT
cana-1586	49	15	represented	represent	VERB
cana-1586	49	16	communications	communication	NOUN
cana-1586	49	17	on	on	ADP
cana-1586	49	18	applied	apply	VERB
cana-1586	49	19	nonlinear	nonlinear	ADJ
cana-1586	49	20	analysis	analysis	NOUN
cana-1586	49	21	issn	issn	NOUN
cana-1586	49	22	:	:	PUNCT
cana-1586	49	23	1074	1074	NUM
cana-1586	49	24	-	-	PUNCT
cana-1586	49	25	133x	133x	NUM
cana-1586	49	26	vol	vol	NOUN
cana-1586	49	27	31	31	NUM
cana-1586	49	28	no	no	NOUN
cana-1586	49	29	.	.	PUNCT
cana-1586	50	1	8s	8s	PROPN
cana-1586	50	2	(	(	PUNCT
cana-1586	50	3	2024	2024	NUM
cana-1586	50	4	)	)	PUNCT
cana-1586	50	5	749	749	NUM
cana-1586	50	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1586	50	7	by	by	ADP
cana-1586	50	8	[	[	X
cana-1586	50	9	f(b	f(b	PROPN
cana-1586	50	10	)	)	PUNCT
cana-1586	50	11	]	]	PUNCT
cana-1586	50	12	are	be	AUX
cana-1586	50	13	softly	softly	ADV
cana-1586	50	14	indiscernible	indiscernible	ADJ
cana-1586	50	15	from	from	ADP
cana-1586	50	16	one	one	NUM
cana-1586	50	17	another	another	DET
cana-1586	50	18	.	.	PUNCT
cana-1586	51	1	one	one	NUM
cana-1586	51	2	term	term	NOUN
cana-1586	51	3	for	for	ADP
cana-1586	51	4	the	the	DET
cana-1586	51	5	ordered	order	VERB
cana-1586	51	6	pair	pair	NOUN
cana-1586	51	7	(	(	PUNCT
cana-1586	51	8	u	u	NOUN
cana-1586	51	9	,	,	PUNCT
cana-1586	51	10	dh	dh	PROPN
cana-1586	51	11	)	)	PUNCT
cana-1586	51	12	is	be	AUX
cana-1586	51	13	called	call	VERB
cana-1586	51	14	as	as	ADP
cana-1586	51	15	"	"	PUNCT
cana-1586	51	16	soft	soft	ADJ
cana-1586	51	17	approximation	approximation	NOUN
cana-1586	51	18	space	space	NOUN
cana-1586	51	19	.	.	PUNCT
cana-1586	51	20	"	"	PUNCT
cana-1586	51	21	.	.	PUNCT
cana-1586	52	1	let	let	VERB
cana-1586	52	2	.hs	.hs	PUNCT
cana-1586	53	1	ed	ed	NOUN
cana-1586	53	2			PROPN
cana-1586	53	3	(	(	PUNCT
cana-1586	53	4	)	)	PUNCT
cana-1586	53	5			ADJ
cana-1586	53	6			NOUN
cana-1586	53	7			ADJ
cana-1586	53	8	deer	deer	NOUN
cana-1586	53	9	"	"	PUNCT
cana-1586	53	10	sh	sh	NOUN
cana-1586	53	11	:	:	PUNCT
cana-1586	53	12	hslr	hslr	NOUN
cana-1586	53	13	(	(	PUNCT
cana-1586	53	14	i	i	NOUN
cana-1586	53	15	)	)	PUNCT
cana-1586	53	16	d	d	PROPN
cana-1586	53	17	=	=	PROPN
cana-1586	53	18	)	)	PUNCT
cana-1586	53	19	is	be	AUX
cana-1586	53	20	a	a	DET
cana-1586	53	21	soft	soft	ADJ
cana-1586	53	22	lower	low	ADJ
cana-1586	53	23	approximation	approximation	NOUN
cana-1586	53	24	af	af	NOUN
cana-1586	53	25	of	of	ADP
cana-1586	53	26	with	with	ADP
cana-1586	53	27	respect	respect	NOUN
cana-1586	53	28	to	to	ADP
cana-1586	53	29	dh	dh	PROPN
cana-1586	53	30	.	.	PUNCT
cana-1586	54	1	(	(	PUNCT
cana-1586	54	2	)	)	PUNCT
cana-1586	54	3			ADJ
cana-1586	54	4			NOUN
cana-1586	54	5			NOUN
cana-1586	54	6			PROPN
cana-1586	54	7	aa	aa	PROPN
cana-1586	54	8	ddr	ddr	PROPN
cana-1586	54	9	"	"	PUNCT
cana-1586	54	10	0sf(b):f(b)s	0sf(b):f(b)s	NUM
cana-1586	54	11	ur(ii	ur(ii	PROPN
cana-1586	54	12	)	)	PUNCT
cana-1586	54	13			NOUN
cana-1586	54	14	=	=	NOUN
cana-1586	54	15	is	be	AUX
cana-1586	54	16	a	a	DET
cana-1586	54	17	soft	soft	ADJ
cana-1586	54	18	upper	upper	ADJ
cana-1586	54	19	approximation	approximation	NOUN
cana-1586	54	20	of	of	ADP
cana-1586	54	21	eh	eh	INTJ
cana-1586	54	22	of	of	ADP
cana-1586	54	23	w.r.t	w.r.t	ADJ
cana-1586	54	24	ds	ds	X
cana-1586	54	25	.	.	PUNCT
cana-1586	54	26	)	)	PUNCT
cana-1586	55	1	(	(	PUNCT
cana-1586	55	2	sr"lr)(sur)(sby	sr"lr)(sur)(sby	VERB
cana-1586	55	3	(	(	PUNCT
cana-1586	55	4	iii	iii	NOUN
cana-1586	55	5	)	)	PUNCT
cana-1586	55	6	ddr"dr	ddr"dr	PROPN
cana-1586	55	7	"	"	PUNCT
cana-1586	55	8	−=	−=	NUM
cana-1586	55	9	is	be	AUX
cana-1586	55	10	the	the	DET
cana-1586	55	11	boundary	boundary	ADJ
cana-1586	55	12	region	region	NOUN
cana-1586	55	13	of	of	ADP
cana-1586	55	14	dh	dh	NOUN
cana-1586	55	15	with	with	ADP
cana-1586	55	16	reference	reference	NOUN
cana-1586	55	17	to	to	ADP
cana-1586	55	18	ds	ds	VERB
cana-1586	55	19	.	.	PUNCT
cana-1586	56	1	definition	definition	NOUN
cana-1586	56	2	2.5	2.5	NUM
cana-1586	57	1	[	[	X
cana-1586	57	2	2	2	NUM
cana-1586	57	3	]	]	PUNCT
cana-1586	57	4	let	let	VERB
cana-1586	57	5	u	u	PRON
cana-1586	57	6	be	be	AUX
cana-1586	57	7	a	a	DET
cana-1586	57	8	given	give	VERB
cana-1586	57	9	finite	finite	ADJ
cana-1586	57	10	collection	collection	NOUN
cana-1586	57	11	of	of	ADP
cana-1586	57	12	objects	object	NOUN
cana-1586	57	13	called	call	VERB
cana-1586	57	14	the	the	DET
cana-1586	57	15	universe	universe	NOUN
cana-1586	57	16	,	,	PUNCT
cana-1586	57	17	eh	eh	INTJ
cana-1586	57	18	is	be	AUX
cana-1586	57	19	an	an	DET
cana-1586	57	20	soft	soft	ADJ
cana-1586	57	21	set	set	NOUN
cana-1586	57	22	over	over	ADP
cana-1586	57	23	the	the	DET
cana-1586	57	24	given	give	VERB
cana-1586	57	25	universe	universe	NOUN
cana-1586	57	26	.	.	PUNCT
cana-1586	58	1	then	then	ADV
cana-1586	58	2	(	(	PUNCT
cana-1586	58	3	u	u	NOUN
cana-1586	58	4	,	,	PUNCT
cana-1586	58	5	eh	eh	INTJ
cana-1586	58	6	)	)	PUNCT
cana-1586	58	7	is	be	AUX
cana-1586	58	8	the	the	DET
cana-1586	58	9	pair	pair	NOUN
cana-1586	58	10	of	of	ADP
cana-1586	58	11	soft	soft	ADJ
cana-1586	58	12	approximation	approximation	NOUN
cana-1586	58	13	space	space	NOUN
cana-1586	58	14	and	and	CCONJ
cana-1586	58	15			PROPN
cana-1586	58	16	)(sby),(slr),(surφ	)(sby),(slr),(surφ	PROPN
cana-1586	58	17	,	,	PUNCT
cana-1586	58	18	u,)(sτ	u,)(sτ	ADJ
cana-1586	58	19	dr"dr"dr"dr	dr"dr"dr"dr	ADJ
cana-1586	58	20	"	"	PUNCT
cana-1586	58	21	=	=	PUNCT
cana-1586	58	22	where	where	SCONJ
cana-1586	58	23	ehsd	ehsd	ADV
cana-1586	58	24			PROPN
cana-1586	58	25	,	,	PUNCT
cana-1586	58	26	and	and	CCONJ
cana-1586	58	27	)	)	PUNCT
cana-1586	58	28	(	(	PUNCT
cana-1586	58	29	sτ	sτ	ADP
cana-1586	58	30	dr	dr	PROPN
cana-1586	58	31	"	"	PUNCT
cana-1586	58	32	satisfies	satisfy	VERB
cana-1586	58	33	the	the	DET
cana-1586	58	34	following	following	ADJ
cana-1586	58	35	axiom	axiom	NOUN
cana-1586	58	36	:	:	PUNCT
cana-1586	58	37	(	(	PUNCT
cana-1586	58	38	i	i	NOUN
cana-1586	58	39	)	)	PUNCT
cana-1586	58	40	)	)	PUNCT
cana-1586	58	41	(	(	PUNCT
cana-1586	58	42	sτφu	sτφu	VERB
cana-1586	58	43	,	,	PUNCT
cana-1586	58	44	dr"	dr"	PROPN
cana-1586	58	45	(	(	PUNCT
cana-1586	58	46	ii	ii	NOUN
cana-1586	58	47	)	)	PUNCT
cana-1586	58	48	the	the	DET
cana-1586	58	49	union	union	NOUN
cana-1586	58	50	of	of	ADP
cana-1586	58	51	the	the	DET
cana-1586	58	52	elements	element	NOUN
cana-1586	58	53	of	of	ADP
cana-1586	58	54	any	any	DET
cana-1586	58	55	subclass	subclass	NOUN
cana-1586	58	56	of	of	ADP
cana-1586	58	57	soft	soft	ADJ
cana-1586	58	58	sets	set	NOUN
cana-1586	58	59	)	)	PUNCT
cana-1586	58	60	(	(	PUNCT
cana-1586	58	61	sτ	sτ	ADP
cana-1586	58	62	dr	dr	PROPN
cana-1586	58	63	"	"	PUNCT
cana-1586	58	64	is	be	AUX
cana-1586	58	65	in	in	ADP
cana-1586	58	66	)	)	PUNCT
cana-1586	58	67	(	(	PUNCT
cana-1586	58	68	sτ	sτ	ADP
cana-1586	58	69	dr	dr	PROPN
cana-1586	58	70	"	"	PUNCT
cana-1586	58	71	.	.	PUNCT
cana-1586	59	1	(	(	PUNCT
cana-1586	59	2	iii	iii	X
cana-1586	59	3	)	)	PUNCT
cana-1586	59	4	the	the	DET
cana-1586	59	5	intersection	intersection	NOUN
cana-1586	59	6	of	of	ADP
cana-1586	59	7	the	the	DET
cana-1586	59	8	elements	element	NOUN
cana-1586	59	9	of	of	ADP
cana-1586	59	10	any	any	DET
cana-1586	59	11	finite	finite	ADJ
cana-1586	59	12	subclass	subclass	NOUN
cana-1586	59	13	of	of	ADP
cana-1586	59	14	soft	soft	ADJ
cana-1586	59	15	sets	set	NOUN
cana-1586	59	16	)	)	PUNCT
cana-1586	59	17	(	(	PUNCT
cana-1586	59	18	sτ	sτ	ADP
cana-1586	59	19	dr	dr	PROPN
cana-1586	59	20	"	"	PUNCT
cana-1586	59	21	is	be	AUX
cana-1586	59	22	in	in	ADP
cana-1586	59	23	)	)	PUNCT
cana-1586	59	24	(	(	PUNCT
cana-1586	59	25	sτ	sτ	ADP
cana-1586	59	26	dr	dr	PROPN
cana-1586	59	27	"	"	PUNCT
cana-1586	59	28	.	.	PUNCT
cana-1586	60	1	specifically	specifically	ADV
cana-1586	60	2	,	,	PUNCT
cana-1586	60	3	)	)	PUNCT
cana-1586	60	4	(	(	PUNCT
cana-1586	60	5	sτ	sτ	PROPN
cana-1586	60	6	dr	dr	PROPN
cana-1586	60	7	"	"	PUNCT
cana-1586	60	8	creates	create	VERB
cana-1586	60	9	a	a	DET
cana-1586	60	10	nsts	nst	NOUN
cana-1586	60	11	over	over	ADP
cana-1586	60	12	u	u	NOUN
cana-1586	60	13	with	with	ADP
cana-1586	60	14	regard	regard	NOUN
cana-1586	60	15	to	to	ADP
cana-1586	60	16	(	(	PUNCT
cana-1586	60	17	)	)	PUNCT
cana-1586	60	18	eu	eu	PROPN
cana-1586	60	19	,	,	PUNCT
cana-1586	60	20	τ	τ	PROPN
cana-1586	60	21	,	,	PUNCT
cana-1586	60	22	r	r	NOUN
cana-1586	60	23	"	"	PUNCT
cana-1586	60	24	and	and	CCONJ
cana-1586	60	25	its	its	PRON
cana-1586	60	26	members	member	NOUN
cana-1586	60	27	are	be	AUX
cana-1586	60	28	referred	refer	VERB
cana-1586	60	29	to	to	ADP
cana-1586	60	30	as	as	ADP
cana-1586	60	31	nano	nano	NOUN
cana-1586	60	32	soft	soft	ADJ
cana-1586	60	33	open	open	ADJ
cana-1586	60	34	sets	set	NOUN
cana-1586	60	35	in	in	ADP
cana-1586	60	36	u	u	NOUN
cana-1586	60	37	with	with	ADP
cana-1586	60	38	respect	respect	NOUN
cana-1586	60	39	to	to	ADP
cana-1586	60	40	ds	ds	PROPN
cana-1586	60	41	.	.	PUNCT
cana-1586	61	1	let	let	VERB
cana-1586	61	2	nano	nano	NOUN
cana-1586	61	3	soft	soft	ADJ
cana-1586	61	4	topology	topology	NOUN
cana-1586	61	5	may	may	AUX
cana-1586	61	6	be	be	AUX
cana-1586	61	7	denoted	denote	VERB
cana-1586	61	8	by	by	ADP
cana-1586	61	9	nst	nst	X
cana-1586	61	10	and	and	CCONJ
cana-1586	61	11	nano	nano	VERB
cana-1586	61	12	soft	soft	ADJ
cana-1586	61	13	topological	topological	ADJ
cana-1586	61	14	space	space	NOUN
cana-1586	61	15	may	may	AUX
cana-1586	61	16	be	be	AUX
cana-1586	61	17	denoted	denote	VERB
cana-1586	61	18	by	by	ADP
cana-1586	61	19	nsts	nst	NOUN
cana-1586	61	20	for	for	ADP
cana-1586	61	21	easy	easy	ADJ
cana-1586	61	22	reference	reference	NOUN
cana-1586	61	23	.	.	PUNCT
cana-1586	62	1	definition	definition	NOUN
cana-1586	62	2	2.6	2.6	NUM
cana-1586	63	1	[	[	X
cana-1586	63	2	2	2	NUM
cana-1586	63	3	]	]	PUNCT
cana-1586	63	4	if	if	SCONJ
cana-1586	63	5	(	(	PUNCT
cana-1586	63	6	)	)	PUNCT
cana-1586	63	7	eu	eu	PROPN
cana-1586	63	8	,	,	PUNCT
cana-1586	63	9	τ	τ	PROPN
cana-1586	63	10	,	,	PUNCT
cana-1586	63	11	r	r	NOUN
cana-1586	63	12	"	"	PUNCT
cana-1586	63	13	is	be	AUX
cana-1586	63	14	a	a	DET
cana-1586	63	15	nsts	nst	NOUN
cana-1586	63	16	regarding	regard	VERB
cana-1586	63	17	x	x	PUNCT
cana-1586	63	18	and	and	CCONJ
cana-1586	63	19	e	e	PROPN
cana-1586	63	20	where	where	SCONJ
cana-1586	63	21	ux	ux	PUNCT
cana-1586	63	22	and	and	CCONJ
cana-1586	63	23	if	if	SCONJ
cana-1586	63	24	uaf	uaf	INTJ
cana-1586	63	25			PROPN
cana-1586	63	26	,	,	PUNCT
cana-1586	63	27	then	then	ADV
cana-1586	63	28	the	the	DET
cana-1586	63	29	nano	nano	ADJ
cana-1586	63	30	soft	soft	ADJ
cana-1586	63	31	interior	interior	NOUN
cana-1586	63	32	of	of	ADP
cana-1586	63	33	af	af	PROPN
cana-1586	63	34	is	be	AUX
cana-1586	63	35	referred	refer	VERB
cana-1586	63	36	as	as	ADP
cana-1586	63	37	the	the	DET
cana-1586	63	38	union	union	NOUN
cana-1586	63	39	of	of	ADP
cana-1586	63	40	all	all	DET
cana-1586	63	41	nso	nso	NOUN
cana-1586	63	42	subsets	subset	NOUN
cana-1586	63	43	of	of	ADP
cana-1586	63	44	af	af	PROPN
cana-1586	63	45	and	and	CCONJ
cana-1586	63	46	it	it	PRON
cana-1586	63	47	is	be	AUX
cana-1586	63	48	denoted	denote	VERB
cana-1586	63	49	by	by	ADP
cana-1586	63	50	(	(	PUNCT
cana-1586	63	51	)	)	PUNCT
cana-1586	63	52	afnint	afnint	NOUN
cana-1586	63	53	,	,	PUNCT
cana-1586	63	54	i.e	i.e	PRON
cana-1586	63	55	,	,	PUNCT
cana-1586	63	56	(	(	PUNCT
cana-1586	63	57	)	)	PUNCT
cana-1586	63	58	afnint	afnint	NOUN
cana-1586	63	59	is	be	AUX
cana-1586	63	60	the	the	DET
cana-1586	63	61	largest	large	ADJ
cana-1586	63	62	nso	nso	NOUN
cana-1586	63	63	subset	subset	NOUN
cana-1586	63	64	of	of	ADP
cana-1586	63	65	af	af	PROPN
cana-1586	63	66	.	.	PUNCT
cana-1586	64	1	the	the	DET
cana-1586	64	2	nsc	nsc	PROPN
cana-1586	64	3	of	of	ADP
cana-1586	64	4	af	af	PROPN
cana-1586	64	5	is	be	AUX
cana-1586	64	6	given	give	VERB
cana-1586	64	7	as	as	ADP
cana-1586	64	8	the	the	DET
cana-1586	64	9	intersection	intersection	NOUN
cana-1586	64	10	of	of	ADP
cana-1586	64	11	all	all	DET
cana-1586	64	12	nsc	nsc	PROPN
cana-1586	64	13	sets	set	NOUN
cana-1586	64	14	containing	contain	VERB
cana-1586	64	15	af	af	NOUN
cana-1586	65	1	and	and	CCONJ
cana-1586	65	2	it	it	PRON
cana-1586	65	3	is	be	AUX
cana-1586	65	4	denoted	denote	VERB
cana-1586	65	5	by	by	ADP
cana-1586	65	6	(	(	PUNCT
cana-1586	65	7	)	)	PUNCT
cana-1586	65	8	afncl	afncl	NOUN
cana-1586	65	9	,	,	PUNCT
cana-1586	65	10	i.e	i.e	PRON
cana-1586	65	11	,	,	PUNCT
cana-1586	65	12	(	(	PUNCT
cana-1586	65	13	)	)	PUNCT
cana-1586	65	14	afnint	afnint	NOUN
cana-1586	65	15	is	be	AUX
cana-1586	65	16	the	the	DET
cana-1586	65	17	smallest	small	ADJ
cana-1586	65	18	nsc	nsc	PROPN
cana-1586	65	19	set	set	VERB
cana-1586	65	20	containing	contain	VERB
cana-1586	65	21	a.	a.	NOUN
cana-1586	65	22	nano	nano	NOUN
cana-1586	65	23	fuzzy	fuzzy	ADJ
cana-1586	65	24	topological	topological	ADJ
cana-1586	65	25	space	space	NOUN
cana-1586	65	26	:	:	PUNCT
cana-1586	66	1	definition	definition	NOUN
cana-1586	66	2	2.7	2.7	NUM
cana-1586	67	1	[	[	X
cana-1586	67	2	3]:from	3]:from	NUM
cana-1586	67	3	y	y	NOUN
cana-1586	67	4	to	to	ADP
cana-1586	67	5	x	x	PRON
cana-1586	67	6	,	,	PUNCT
cana-1586	67	7	let	let	VERB
cana-1586	67	8	r	r	PRON
cana-1586	67	9	"	"	PUNCT
cana-1586	67	10	be	be	AUX
cana-1586	67	11	a	a	DET
cana-1586	67	12	given	give	VERB
cana-1586	67	13	arbitrary	arbitrary	ADJ
cana-1586	67	14	relation	relation	NOUN
cana-1586	67	15	,	,	PUNCT
cana-1586	67	16	then	then	ADV
cana-1586	67	17	the	the	DET
cana-1586	67	18	lower	low	ADJ
cana-1586	67	19	and	and	CCONJ
cana-1586	67	20	upper	upper	ADJ
cana-1586	67	21	approximation	approximation	NOUN
cana-1586	67	22	areas	area	NOUN
cana-1586	67	23	for	for	ADP
cana-1586	67	24	the	the	DET
cana-1586	67	25	given	give	VERB
cana-1586	67	26	fuzzy	fuzzy	ADJ
cana-1586	67	27	set	set	VERB
cana-1586	67	28	r	r	NOUN
cana-1586	67	29	"	"	PUNCT
cana-1586	67	30	and	and	CCONJ
cana-1586	67	31	"	"	PUNCT
cana-1586	67	32	r	r	NOUN
cana-1586	67	33	respectively	respectively	ADV
cana-1586	67	34	satisfy	satisfy	VERB
cana-1586	67	35	the	the	DET
cana-1586	67	36	following	follow	VERB
cana-1586	67	37	properties	property	NOUN
cana-1586	67	38	:	:	PUNCT
cana-1586	67	39	for	for	ADP
cana-1586	67	40	all	all	PRON
cana-1586	67	41	(	(	PUNCT
cana-1586	67	42	)	)	PUNCT
cana-1586	67	43	ygμ	ygμ	PROPN
cana-1586	67	44	,	,	PUNCT
cana-1586	67	45			PROPN
cana-1586	67	46	,	,	PUNCT
cana-1586	67	47	where	where	SCONJ
cana-1586	67	48	g(y	g(y	NOUN
cana-1586	67	49	)	)	PUNCT
cana-1586	67	50	is	be	AUX
cana-1586	67	51	the	the	DET
cana-1586	67	52	set	set	NOUN
cana-1586	67	53	of	of	ADP
cana-1586	67	54	all	all	DET
cana-1586	67	55	fuzzy	fuzzy	ADJ
cana-1586	67	56	subsets	subset	NOUN
cana-1586	67	57	of	of	ADP
cana-1586	67	58	y	y	PROPN
cana-1586	67	59	:	:	PUNCT
cana-1586	67	60	(	(	PUNCT
cana-1586	67	61	i	i	NOUN
cana-1586	67	62	)	)	PUNCT
cana-1586	67	63	(	(	PUNCT
cana-1586	67	64	)	)	PUNCT
cana-1586	67	65	(	(	PUNCT
cana-1586	67	66	)	)	PUNCT
cana-1586	67	67	(	(	PUNCT
cana-1586	67	68	)	)	PUNCT
cana-1586	67	69			ADV
cana-1586	67	70	"	"	PUNCT
cana-1586	67	71	rμ"rμ"r	rμ"rμ"r	VERB
cana-1586	67	72	=	=	PROPN
cana-1586	67	73	(	(	PUNCT
cana-1586	67	74	ii	ii	NOUN
cana-1586	67	75	)	)	PUNCT
cana-1586	67	76	(	(	PUNCT
cana-1586	67	77	)	)	PUNCT
cana-1586	67	78	(	(	PUNCT
cana-1586	67	79	)	)	PUNCT
cana-1586	67	80	(	(	PUNCT
cana-1586	67	81	)	)	PUNCT
cana-1586	67	82			ADV
cana-1586	67	83	r"μ"rμ"r	r"μ"rμ"r	VERB
cana-1586	67	84	=	=	X
cana-1586	67	85	(	(	PUNCT
cana-1586	67	86	iii	iii	NOUN
cana-1586	67	87	)	)	PUNCT
cana-1586	67	88	(	(	PUNCT
cana-1586	67	89	)	)	PUNCT
cana-1586	67	90	(	(	PUNCT
cana-1586	67	91	)	)	PUNCT
cana-1586	67	92	(	(	PUNCT
cana-1586	67	93	)	)	PUNCT
cana-1586	67	94	cc	cc	NOUN
cana-1586	67	95	μ"rμ"r	μ"rμ"r	X
cana-1586	67	96	=	=	PRON
cana-1586	67	97	(	(	PUNCT
cana-1586	67	98	iv	iv	X
cana-1586	67	99	)	)	PUNCT
cana-1586	67	100	(	(	PUNCT
cana-1586	67	101	)	)	PUNCT
cana-1586	67	102	(	(	PUNCT
cana-1586	67	103	)	)	PUNCT
cana-1586	67	104			ADV
cana-1586	68	1	r"μ"rμ	r"μ"rμ	VERB
cana-1586	68	2			NOUN
cana-1586	68	3	and	and	CCONJ
cana-1586	68	4	similarly	similarly	ADV
cana-1586	68	5	these	these	DET
cana-1586	68	6	conditions	condition	NOUN
cana-1586	68	7	will	will	AUX
cana-1586	68	8	be	be	AUX
cana-1586	68	9	satisfied	satisfied	ADJ
cana-1586	68	10	for	for	ADP
cana-1586	68	11	.r	.r	ADJ
cana-1586	68	12	"	"	PUNCT
cana-1586	68	13	definition	definition	NOUN
cana-1586	68	14	2.8	2.8	NUM
cana-1586	68	15	[	[	X
cana-1586	68	16	3	3	NUM
cana-1586	68	17	]	]	PUNCT
cana-1586	68	18	:	:	PUNCT
cana-1586	68	19	let	let	VERB
cana-1586	68	20	y	y	PRON
cana-1586	68	21	be	be	AUX
cana-1586	68	22	a	a	DET
cana-1586	68	23	given	give	VERB
cana-1586	68	24	set	set	NOUN
cana-1586	68	25	which	which	PRON
cana-1586	68	26	is	be	AUX
cana-1586	68	27	finite	finite	ADJ
cana-1586	68	28	and	and	CCONJ
cana-1586	68	29	r	r	AUX
cana-1586	68	30	"	"	PUNCT
cana-1586	68	31	be	be	AUX
cana-1586	68	32	the	the	DET
cana-1586	68	33	given	give	VERB
cana-1586	68	34	equivalency	equivalency	NOUN
cana-1586	68	35	relation	relation	NOUN
cana-1586	68	36	on	on	ADP
cana-1586	68	37	y	y	PROPN
cana-1586	68	38	,	,	PUNCT
cana-1586	68	39	y	y	PROPN
cana-1586	68	40	be	be	VERB
cana-1586	68	41	a	a	DET
cana-1586	68	42	fuzzy	fuzzy	ADJ
cana-1586	68	43	subset	subset	NOUN
cana-1586	68	44	and	and	CCONJ
cana-1586	68	45	(	(	PUNCT
cana-1586	68	46	)	)	PUNCT
cana-1586	68	47	(	(	PUNCT
cana-1586	68	48	)	)	PUNCT
cana-1586	68	49	(	(	PUNCT
cana-1586	68	50	)	)	PUNCT
cana-1586	68	51	(	(	PUNCT
cana-1586	68	52	)	)	PUNCT
cana-1586	68	53	(	(	PUNCT
cana-1586	68	54	)	)	PUNCT
cana-1586	68	55			PROPN
cana-1586	68	56			PROPN
cana-1586	68	57	bd,"r,"r,,01τ	bd,"r,"r,,01τ	NOUN
cana-1586	68	58	=	=	NOUN
cana-1586	68	59			NOUN
cana-1586	68	60	.	.	PUNCT
cana-1586	69	1	then	then	ADV
cana-1586	69	2	(	(	PUNCT
cana-1586	69	3	)	)	PUNCT
cana-1586	69	4	(	(	PUNCT
cana-1586	69	5	)	)	PUNCT
cana-1586	69	6	τ	τ	NOUN
cana-1586	69	7	satisfies	satisfie	NOUN
cana-1586	69	8	the	the	DET
cana-1586	69	9	following	following	NOUN
cana-1586	69	10	,	,	PUNCT
cana-1586	69	11	axioms	axiom	NOUN
cana-1586	69	12	:	:	PUNCT
cana-1586	69	13	communications	communication	NOUN
cana-1586	69	14	on	on	ADP
cana-1586	69	15	applied	apply	VERB
cana-1586	69	16	nonlinear	nonlinear	ADJ
cana-1586	69	17	analysis	analysis	NOUN
cana-1586	69	18	issn	issn	NOUN
cana-1586	69	19	:	:	PUNCT
cana-1586	69	20	1074	1074	NUM
cana-1586	69	21	-	-	PUNCT
cana-1586	69	22	133x	133x	NUM
cana-1586	69	23	vol	vol	NOUN
cana-1586	69	24	31	31	NUM
cana-1586	69	25	no	no	NOUN
cana-1586	69	26	.	.	PUNCT
cana-1586	70	1	8s	8s	PROPN
cana-1586	70	2	(	(	PUNCT
cana-1586	70	3	2024	2024	NUM
cana-1586	70	4	)	)	PUNCT
cana-1586	70	5	750	750	NUM
cana-1586	70	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1586	70	7	(	(	PUNCT
cana-1586	70	8	i	i	NOUN
cana-1586	70	9	)	)	PUNCT
cana-1586	70	10	(	(	PUNCT
cana-1586	70	11	)	)	PUNCT
cana-1586	70	12	(	(	PUNCT
cana-1586	70	13	)	)	PUNCT
cana-1586	70	14			PROPN
cana-1586	70	15			PROPN
cana-1586	70	16	τ1,0	τ1,0	PUNCT
cana-1586	70	17	where	where	SCONJ
cana-1586	70	18	i:0	i:0	ADV
cana-1586	70	19	→	→	PUNCT
cana-1586	70	20	indicate	indicate	VERB
cana-1586	70	21	the	the	DET
cana-1586	70	22	null	null	ADJ
cana-1586	70	23	fuzzy	fuzzy	ADJ
cana-1586	70	24	set	set	NOUN
cana-1586	70	25	and	and	CCONJ
cana-1586	70	26	i:1	i:1	PRON
cana-1586	70	27	→	→	PUNCT
cana-1586	70	28	indicate	indicate	VERB
cana-1586	70	29	the	the	DET
cana-1586	70	30	whole	whole	ADJ
cana-1586	70	31	fuzzy	fuzzy	ADJ
cana-1586	70	32	set	set	NOUN
cana-1586	70	33	.	.	PUNCT
cana-1586	71	1	(	(	PUNCT
cana-1586	71	2	ii	ii	NOUN
cana-1586	71	3	)	)	PUNCT
cana-1586	71	4	arbitrary	arbitrary	ADJ
cana-1586	71	5	union	union	NOUN
cana-1586	71	6	of	of	ADP
cana-1586	71	7	members	member	NOUN
cana-1586	71	8	of	of	ADP
cana-1586	71	9	(	(	PUNCT
cana-1586	71	10	)	)	PUNCT
cana-1586	71	11	(	(	PUNCT
cana-1586	71	12	)	)	PUNCT
cana-1586	71	13	τ	τ	X
cana-1586	71	14	is	be	AUX
cana-1586	71	15	a	a	DET
cana-1586	71	16	member	member	NOUN
cana-1586	71	17	of	of	ADP
cana-1586	71	18	(	(	PUNCT
cana-1586	71	19	)	)	PUNCT
cana-1586	71	20	(	(	PUNCT
cana-1586	71	21	)	)	PUNCT
cana-1586	71	22	τ	τ	NOUN
cana-1586	71	23	.	.	PUNCT
cana-1586	72	1	(	(	PUNCT
cana-1586	72	2	iii	iii	X
cana-1586	72	3	)	)	PUNCT
cana-1586	72	4	finite	finite	ADJ
cana-1586	72	5	intersection	intersection	NOUN
cana-1586	72	6	of	of	ADP
cana-1586	72	7	members	member	NOUN
cana-1586	72	8	of	of	ADP
cana-1586	72	9	(	(	PUNCT
cana-1586	72	10	)	)	PUNCT
cana-1586	72	11	(	(	PUNCT
cana-1586	72	12	)	)	PUNCT
cana-1586	72	13	μτ	μτ	NUM
cana-1586	72	14			NOUN
cana-1586	72	15	is	be	AUX
cana-1586	72	16	a	a	DET
cana-1586	72	17	member	member	NOUN
cana-1586	72	18	of	of	ADP
cana-1586	72	19	(	(	PUNCT
cana-1586	72	20	)	)	PUNCT
cana-1586	72	21	(	(	PUNCT
cana-1586	72	22	)	)	PUNCT
cana-1586	72	23	.τ	.τ	VERB
cana-1586	72	24			PROPN
cana-1586	72	25	i.e	i.e	PRON
cana-1586	72	26	,	,	PUNCT
cana-1586	72	27	(	(	PUNCT
cana-1586	72	28	)	)	PUNCT
cana-1586	72	29	(	(	PUNCT
cana-1586	72	30	)	)	PUNCT
cana-1586	72	31	τ	τ	X
cana-1586	72	32	is	be	AUX
cana-1586	72	33	a	a	DET
cana-1586	72	34	topology	topology	NOUN
cana-1586	72	35	on	on	ADP
cana-1586	72	36	x	x	PUNCT
cana-1586	72	37	called	call	VERB
cana-1586	72	38	the	the	DET
cana-1586	72	39	nft	nft	PROPN
cana-1586	72	40	on	on	ADP
cana-1586	72	41	x	x	PUNCT
cana-1586	72	42	with	with	ADP
cana-1586	72	43	regard	regard	NOUN
cana-1586	72	44	to	to	NOUN
cana-1586	72	45	.	.	PUNCT
cana-1586	73	1	we	we	PRON
cana-1586	73	2	call	call	VERB
cana-1586	73	3	(	(	PUNCT
cana-1586	73	4	)	)	PUNCT
cana-1586	73	5	(	(	PUNCT
cana-1586	73	6	)	)	PUNCT
cana-1586	73	7	(	(	PUNCT
cana-1586	73	8	)	)	PUNCT
cana-1586	73	9	τ	τ	VERB
cana-1586	73	10	,	,	PUNCT
cana-1586	73	11	y	y	PROPN
cana-1586	73	12	as	as	ADP
cana-1586	73	13	the	the	DET
cana-1586	73	14	nfts	nft	NOUN
cana-1586	73	15	.	.	PUNCT
cana-1586	74	1	the	the	DET
cana-1586	74	2	elements	element	NOUN
cana-1586	74	3	of	of	ADP
cana-1586	74	4	the	the	DET
cana-1586	74	5	nfts	nft	NOUN
cana-1586	74	6	that	that	PRON
cana-1586	74	7	is	be	AUX
cana-1586	74	8	(	(	PUNCT
cana-1586	74	9	)	)	PUNCT
cana-1586	74	10	(	(	PUNCT
cana-1586	74	11	)	)	PUNCT
cana-1586	74	12	τ	τ	VERB
cana-1586	74	13	,	,	PUNCT
cana-1586	74	14	are	be	AUX
cana-1586	74	15	called	call	VERB
cana-1586	74	16	nano	nano	ADJ
cana-1586	74	17	fuzzy	fuzzy	ADJ
cana-1586	74	18	open	open	ADJ
cana-1586	74	19	sets	set	NOUN
cana-1586	74	20	and	and	CCONJ
cana-1586	74	21	elements	element	NOUN
cana-1586	74	22	of	of	ADP
cana-1586	74	23	(	(	PUNCT
cana-1586	74	24	)	)	PUNCT
cana-1586	74	25	(	(	PUNCT
cana-1586	74	26	)	)	PUNCT
cana-1586	74	27	cτ	cτ	PROPN
cana-1586	74	28			PROPN
cana-1586	74	29	are	be	AUX
cana-1586	74	30	called	call	VERB
cana-1586	74	31	nano	nano	ADJ
cana-1586	74	32	fuzzy	fuzzy	ADJ
cana-1586	74	33	closed	close	VERB
cana-1586	74	34	sets	set	NOUN
cana-1586	74	35	.	.	PUNCT
cana-1586	75	1	let	let	VERB
cana-1586	75	2	nano	nano	NOUN
cana-1586	75	3	fuzzy	fuzzy	ADJ
cana-1586	75	4	topology	topology	NOUN
cana-1586	75	5	may	may	AUX
cana-1586	75	6	be	be	AUX
cana-1586	75	7	denoted	denote	VERB
cana-1586	75	8	by	by	ADP
cana-1586	75	9	nft	nft	PROPN
cana-1586	75	10	and	and	CCONJ
cana-1586	75	11	nano	nano	PROPN
cana-1586	75	12	soft	soft	ADJ
cana-1586	75	13	topological	topological	ADJ
cana-1586	75	14	space	space	NOUN
cana-1586	75	15	may	may	AUX
cana-1586	75	16	be	be	AUX
cana-1586	75	17	denoted	denote	VERB
cana-1586	75	18	by	by	ADP
cana-1586	75	19	nfts	nft	NOUN
cana-1586	75	20	for	for	ADP
cana-1586	75	21	easy	easy	ADJ
cana-1586	75	22	reference	reference	NOUN
cana-1586	75	23	.	.	PUNCT
cana-1586	76	1	definition	definition	NOUN
cana-1586	76	2	2.9	2.9	NUM
cana-1586	76	3	[	[	X
cana-1586	76	4	3	3	NUM
cana-1586	76	5	]	]	PUNCT
cana-1586	76	6	consider	consider	VERB
cana-1586	76	7	the	the	DET
cana-1586	76	8	nfts	nft	NOUN
cana-1586	76	9	(	(	PUNCT
cana-1586	76	10	)	)	PUNCT
cana-1586	76	11	(	(	PUNCT
cana-1586	76	12	)	)	PUNCT
cana-1586	76	13	(	(	PUNCT
cana-1586	76	14	)	)	PUNCT
cana-1586	76	15	τ	τ	VERB
cana-1586	76	16	,	,	PUNCT
cana-1586	76	17	y	y	PROPN
cana-1586	76	18	with	with	ADP
cana-1586	76	19	regard	regard	NOUN
cana-1586	76	20	to	to	PROPN
cana-1586	76	21	,	,	PUNCT
cana-1586	76	22	where	where	SCONJ
cana-1586	76	23			X
cana-1586	76	24	<	<	X
cana-1586	76	25	y.	y.	NOUN
cana-1586	76	26	if	if	SCONJ
cana-1586	76	27			PUNCT
cana-1586	76	28	≤	≤	ADJ
cana-1586	76	29	y	y	NOUN
cana-1586	76	30	,	,	PUNCT
cana-1586	76	31	then	then	ADV
cana-1586	76	32	the	the	DET
cana-1586	76	33	union	union	NOUN
cana-1586	76	34	of	of	ADP
cana-1586	76	35	all	all	DET
cana-1586	76	36	nano	nano	ADJ
cana-1586	76	37	fuzzy	fuzzy	ADJ
cana-1586	76	38	open	open	ADJ
cana-1586	76	39	subsets	subset	NOUN
cana-1586	76	40	of	of	ADP
cana-1586	76	41			NOUN
cana-1586	76	42	defines	define	VERB
cana-1586	76	43	the	the	DET
cana-1586	76	44	nano	nano	ADJ
cana-1586	76	45	fuzzy	fuzzy	ADJ
cana-1586	76	46	interior	interior	NOUN
cana-1586	76	47	of	of	VERB
cana-1586	76	48	,	,	PUNCT
cana-1586	76	49	which	which	PRON
cana-1586	76	50	is	be	AUX
cana-1586	76	51	represented	represent	VERB
cana-1586	76	52	by	by	ADP
cana-1586	76	53	the	the	DET
cana-1586	76	54	notation	notation	NOUN
cana-1586	76	55	(	(	PUNCT
cana-1586	76	56	)	)	PUNCT
cana-1586	77	1	.nfint	.nfint	PROPN
cana-1586	77	2			NOUN
cana-1586	77	3	nano	nano	ADJ
cana-1586	77	4	fuzzy	fuzzy	ADJ
cana-1586	77	5	soft	soft	ADJ
cana-1586	77	6	topological	topological	ADJ
cana-1586	77	7	space	space	NOUN
cana-1586	77	8	:	:	PUNCT
cana-1586	77	9	definition	definition	NOUN
cana-1586	77	10	2.10	2.10	NUM
cana-1586	77	11	:	:	PUNCT
cana-1586	77	12	let	let	VERB
cana-1586	77	13	r	r	AUX
cana-1586	77	14	"	"	PUNCT
cana-1586	77	15	be	be	AUX
cana-1586	77	16	an	an	DET
cana-1586	77	17	given	give	VERB
cana-1586	77	18	equivalency	equivalency	NOUN
cana-1586	77	19	relation	relation	NOUN
cana-1586	77	20	from	from	ADP
cana-1586	77	21	x	x	NOUN
cana-1586	77	22	to	to	ADP
cana-1586	77	23	y.	y.	NOUN
cana-1586	77	24	the	the	PRON
cana-1586	77	25	lower	low	ADJ
cana-1586	77	26	(	(	PUNCT
cana-1586	77	27	decreased	decrease	VERB
cana-1586	77	28	)	)	PUNCT
cana-1586	77	29	and	and	CCONJ
cana-1586	77	30	upper	upper	ADJ
cana-1586	77	31	(	(	PUNCT
cana-1586	77	32	increased	increase	VERB
cana-1586	77	33	)	)	PUNCT
cana-1586	77	34	approximation	approximation	NOUN
cana-1586	77	35	areas	area	NOUN
cana-1586	77	36	of	of	ADP
cana-1586	77	37	a	a	DET
cana-1586	77	38	fuzzy	fuzzy	ADJ
cana-1586	77	39	soft	soft	ADJ
cana-1586	77	40	set	set	NOUN
cana-1586	77	41	denoted	denote	VERB
cana-1586	77	42	by	by	ADP
cana-1586	77	43	"	"	PUNCT
cana-1586	77	44	r	r	NOUN
cana-1586	77	45	and	and	CCONJ
cana-1586	77	46	"	"	PUNCT
cana-1586	77	47	r	r	NOUN
cana-1586	77	48	respectively	respectively	ADV
cana-1586	77	49	satisfy	satisfy	VERB
cana-1586	77	50	the	the	DET
cana-1586	77	51	given	give	VERB
cana-1586	77	52	following	follow	VERB
cana-1586	77	53	properties	property	NOUN
cana-1586	77	54	:	:	PUNCT
cana-1586	77	55	for	for	ADP
cana-1586	77	56	all	all	PRON
cana-1586	77	57	(	(	PUNCT
cana-1586	77	58	)	)	PUNCT
cana-1586	77	59	xg	xg	PROPN
cana-1586	78	1	~	~	PUNCT
cana-1586	78	2	g~,f	g~,f	PROPN
cana-1586	78	3	~	~	PUNCT
cana-1586	78	4	bba	bba	NOUN
cana-1586	78	5			NOUN
cana-1586	78	6	,	,	PUNCT
cana-1586	78	7	where	where	SCONJ
cana-1586	78	8	(	(	PUNCT
cana-1586	78	9	)	)	PUNCT
cana-1586	78	10	xg	xg	PROPN
cana-1586	78	11	~	~	PUNCT
cana-1586	78	12	b	b	X
cana-1586	78	13	is	be	AUX
cana-1586	78	14	the	the	DET
cana-1586	78	15	set	set	NOUN
cana-1586	78	16	of	of	ADP
cana-1586	78	17	all	all	DET
cana-1586	78	18	fuzzy	fuzzy	ADJ
cana-1586	78	19	soft	soft	ADJ
cana-1586	78	20	subsets	subset	NOUN
cana-1586	78	21	of	of	ADP
cana-1586	78	22	x	x	NOUN
cana-1586	78	23	:	:	PUNCT
cana-1586	78	24	(	(	PUNCT
cana-1586	78	25	v	v	NOUN
cana-1586	78	26	)	)	PUNCT
cana-1586	78	27	(	(	PUNCT
cana-1586	78	28	)	)	PUNCT
cana-1586	78	29	(	(	PUNCT
cana-1586	78	30	)	)	PUNCT
cana-1586	78	31	(	(	PUNCT
cana-1586	78	32	)	)	PUNCT
cana-1586	78	33	baba	baba	PROPN
cana-1586	78	34	g~"rf	g~"rf	PROPN
cana-1586	78	35	~	~	PUNCT
cana-1586	78	36	"	"	PUNCT
cana-1586	78	37	rg	rg	NOUN
cana-1586	78	38	~	~	NOUN
cana-1586	78	39	f	f	X
cana-1586	78	40	~	~	PUNCT
cana-1586	78	41	"	"	PUNCT
cana-1586	78	42	r	r	NOUN
cana-1586	78	43	=	=	NOUN
cana-1586	78	44	(	(	PUNCT
cana-1586	78	45	vi	vi	NOUN
cana-1586	78	46	)	)	PUNCT
cana-1586	78	47	(	(	PUNCT
cana-1586	78	48	)	)	PUNCT
cana-1586	78	49	(	(	PUNCT
cana-1586	78	50	)	)	PUNCT
cana-1586	78	51	(	(	PUNCT
cana-1586	78	52	)	)	PUNCT
cana-1586	78	53	baba	baba	PROPN
cana-1586	78	54	g~"rf	g~"rf	PROPN
cana-1586	78	55	~	~	PUNCT
cana-1586	78	56	"	"	PUNCT
cana-1586	78	57	rg	rg	NOUN
cana-1586	78	58	~	~	NOUN
cana-1586	78	59	f	f	X
cana-1586	78	60	~	~	PUNCT
cana-1586	78	61	"	"	PUNCT
cana-1586	78	62	r	r	NOUN
cana-1586	78	63	=	=	X
cana-1586	78	64	(	(	PUNCT
cana-1586	78	65	vii	vii	PROPN
cana-1586	78	66	)	)	PUNCT
cana-1586	78	67	(	(	PUNCT
cana-1586	78	68	)	)	PUNCT
cana-1586	78	69	(	(	PUNCT
cana-1586	78	70	)	)	PUNCT
cana-1586	78	71	(	(	PUNCT
cana-1586	78	72	)	)	PUNCT
cana-1586	78	73	cc	cc	NOUN
cana-1586	78	74	f	f	PROPN
cana-1586	78	75	~	~	PUNCT
cana-1586	78	76	"	"	PUNCT
cana-1586	78	77	rf	rf	ADP
cana-1586	78	78	~	~	PUNCT
cana-1586	78	79	"	"	PUNCT
cana-1586	78	80	r	r	NOUN
cana-1586	78	81	aa	aa	NOUN
cana-1586	78	82	=	=	SYM
cana-1586	78	83	(	(	PUNCT
cana-1586	78	84	viii	viii	NOUN
cana-1586	78	85	)	)	PUNCT
cana-1586	78	86	(	(	PUNCT
cana-1586	78	87	)	)	PUNCT
cana-1586	78	88	(	(	PUNCT
cana-1586	78	89	)	)	PUNCT
cana-1586	78	90	baba	baba	PROPN
cana-1586	78	91	g~"rf	g~"rf	PROPN
cana-1586	78	92	~	~	PUNCT
cana-1586	78	93	"	"	PUNCT
cana-1586	78	94	rg	rg	NOUN
cana-1586	78	95	~	~	NOUN
cana-1586	78	96	f	f	X
cana-1586	78	97	~	~	PUNCT
cana-1586	78	98			NOUN
cana-1586	78	99	and	and	CCONJ
cana-1586	78	100	similarly	similarly	ADV
cana-1586	78	101	these	these	DET
cana-1586	78	102	conditions	condition	NOUN
cana-1586	78	103	will	will	AUX
cana-1586	78	104	be	be	AUX
cana-1586	78	105	satisfied	satisfied	ADJ
cana-1586	78	106	for	for	ADP
cana-1586	78	107	"	"	PUNCT
cana-1586	78	108	.r	.r	ADJ
cana-1586	78	109	definition	definition	NOUN
cana-1586	78	110	2.11	2.11	NUM
cana-1586	78	111	:	:	PUNCT
cana-1586	78	112	let	let	VERB
cana-1586	78	113	x	x	PRON
cana-1586	78	114	be	be	AUX
cana-1586	78	115	a	a	DET
cana-1586	78	116	given	give	VERB
cana-1586	78	117	finite	finite	NOUN
cana-1586	78	118	set	set	NOUN
cana-1586	78	119	and	and	CCONJ
cana-1586	78	120	r	r	AUX
cana-1586	78	121	"	"	PUNCT
cana-1586	78	122	be	be	AUX
cana-1586	78	123	an	an	DET
cana-1586	78	124	equivalency	equivalency	NOUN
cana-1586	78	125	relation	relation	NOUN
cana-1586	78	126	on	on	ADP
cana-1586	78	127	x	x	NOUN
cana-1586	78	128	,	,	PUNCT
cana-1586	78	129	let	let	VERB
cana-1586	78	130	af	af	VERB
cana-1586	78	131	~	~	PUNCT
cana-1586	78	132	≤	≤	NUM
cana-1586	78	133	x	x	PUNCT
cana-1586	78	134	be	be	AUX
cana-1586	78	135	a	a	DET
cana-1586	78	136	fuzzy	fuzzy	ADJ
cana-1586	78	137	soft	soft	ADJ
cana-1586	78	138	subset	subset	NOUN
cana-1586	78	139	and	and	CCONJ
cana-1586	78	140	(	(	PUNCT
cana-1586	78	141	)	)	PUNCT
cana-1586	78	142	(	(	PUNCT
cana-1586	78	143	)	)	PUNCT
cana-1586	78	144	(	(	PUNCT
cana-1586	78	145	)	)	PUNCT
cana-1586	78	146	(	(	PUNCT
cana-1586	78	147	)	)	PUNCT
cana-1586	78	148	(	(	PUNCT
cana-1586	78	149	)	)	PUNCT
cana-1586	78	150			PROPN
cana-1586	78	151	aaaa	aaaa	NOUN
cana-1586	78	152	f	f	NOUN
cana-1586	78	153	~	~	PUNCT
cana-1586	78	154	bd	bd	PROPN
cana-1586	78	155	,	,	PUNCT
cana-1586	78	156	f	f	X
cana-1586	78	157	~	~	PUNCT
cana-1586	78	158	r","r	r","r	NOUN
cana-1586	78	159	,	,	PUNCT
cana-1586	78	160	μ,0μ1f	μ,0μ1f	PRON
cana-1586	78	161	~	~	PUNCT
cana-1586	79	1	τ~	τ~	PUNCT
cana-1586	79	2	f	f	X
cana-1586	79	3	~	~	PUNCT
cana-1586	79	4	=	=	NOUN
cana-1586	79	5			NOUN
cana-1586	79	6	.	.	PUNCT
cana-1586	80	1	then	then	ADV
cana-1586	80	2	(	(	PUNCT
cana-1586	80	3	)	)	PUNCT
cana-1586	80	4	(	(	PUNCT
cana-1586	80	5	)	)	PUNCT
cana-1586	80	6	af	af	X
cana-1586	80	7	~	~	PUNCT
cana-1586	80	8	τ~	τ~	PUNCT
cana-1586	80	9			NOUN
cana-1586	80	10	satisfies	satisfy	VERB
cana-1586	80	11	the	the	DET
cana-1586	80	12	following	following	NOUN
cana-1586	80	13	,	,	PUNCT
cana-1586	80	14	axioms	axiom	VERB
cana-1586	80	15	:	:	PUNCT
cana-1586	80	16	(	(	PUNCT
cana-1586	80	17	)	)	PUNCT
cana-1586	80	18	(	(	PUNCT
cana-1586	80	19	)	)	PUNCT
cana-1586	80	20	af	af	PROPN
cana-1586	80	21	~	~	PUNCT
cana-1586	80	22	τ~1	τ~1	SYM
cana-1586	80	23	~	~	PUNCT
cana-1586	80	24	,	,	PUNCT
cana-1586	80	25	0	0	NUM
cana-1586	80	26	~	~	PUNCT
cana-1586	80	27	(	(	PUNCT
cana-1586	80	28	i	i	NOUN
cana-1586	80	29	)	)	PUNCT
cana-1586	80	30			PROPN
cana-1586	80	31	where	where	SCONJ
cana-1586	80	32	if	if	SCONJ
cana-1586	80	33	~	~	PUNCT
cana-1586	80	34	:0	:0	PUNCT
cana-1586	80	35	~	~	PUNCT
cana-1586	80	36	a	a	DET
cana-1586	80	37	→	→	PUNCT
cana-1586	80	38	denotes	denote	NOUN
cana-1586	80	39	the	the	DET
cana-1586	80	40	void	void	ADJ
cana-1586	80	41	fuzzy	fuzzy	ADJ
cana-1586	80	42	soft	soft	ADJ
cana-1586	80	43	set	set	NOUN
cana-1586	80	44	and	and	CCONJ
cana-1586	80	45	if	if	SCONJ
cana-1586	80	46	~	~	PUNCT
cana-1586	80	47	:1	:1	PUNCT
cana-1586	80	48	~	~	PUNCT
cana-1586	80	49	a	a	DET
cana-1586	80	50	→	→	SYM
cana-1586	80	51	denotes	denote	NOUN
cana-1586	80	52	the	the	DET
cana-1586	80	53	whole	whole	ADJ
cana-1586	80	54	fuzzy	fuzzy	ADJ
cana-1586	80	55	soft	soft	ADJ
cana-1586	80	56	set	set	NOUN
cana-1586	80	57	.	.	PUNCT
cana-1586	81	1	(	(	PUNCT
cana-1586	81	2	ii	ii	NOUN
cana-1586	81	3	)	)	PUNCT
cana-1586	81	4	(	(	PUNCT
cana-1586	81	5	)	)	PUNCT
cana-1586	81	6	(	(	PUNCT
cana-1586	81	7	)	)	PUNCT
cana-1586	81	8	af	af	PROPN
cana-1586	81	9	~	~	PUNCT
cana-1586	81	10	τ~	τ~	NUM
cana-1586	81	11			NOUN
cana-1586	81	12	is	be	AUX
cana-1586	81	13	the	the	DET
cana-1586	81	14	arbitrary	arbitrary	ADJ
cana-1586	81	15	union	union	NOUN
cana-1586	81	16	of	of	ADP
cana-1586	81	17	members	member	NOUN
cana-1586	81	18	of	of	ADP
cana-1586	81	19	(	(	PUNCT
cana-1586	81	20	)	)	PUNCT
cana-1586	81	21	(	(	PUNCT
cana-1586	81	22	)	)	PUNCT
cana-1586	81	23	af	af	PROPN
cana-1586	81	24	~	~	PUNCT
cana-1586	81	25	τ~	τ~	NUM
cana-1586	81	26			NOUN
cana-1586	81	27	.	.	PUNCT
cana-1586	82	1	(	(	PUNCT
cana-1586	82	2	iii	iii	NOUN
cana-1586	82	3	)	)	PUNCT
cana-1586	82	4	(	(	PUNCT
cana-1586	82	5	)	)	PUNCT
cana-1586	82	6	(	(	PUNCT
cana-1586	82	7	)	)	PUNCT
cana-1586	82	8	af	af	PROPN
cana-1586	82	9	~	~	PUNCT
cana-1586	82	10	τ~	τ~	NUM
cana-1586	82	11			NOUN
cana-1586	82	12	is	be	AUX
cana-1586	82	13	the	the	DET
cana-1586	82	14	finite	finite	ADJ
cana-1586	82	15	intersection	intersection	NOUN
cana-1586	82	16	of	of	ADP
cana-1586	82	17	members	member	NOUN
cana-1586	82	18	of	of	ADP
cana-1586	82	19	(	(	PUNCT
cana-1586	82	20	)	)	PUNCT
cana-1586	82	21	(	(	PUNCT
cana-1586	82	22	)	)	PUNCT
cana-1586	82	23	.f	.f	PROPN
cana-1586	82	24	~	~	PUNCT
cana-1586	83	1	τ~	τ~	PUNCT
cana-1586	83	2	a	a	NOUN
cana-1586	83	3	communications	communication	NOUN
cana-1586	83	4	on	on	ADP
cana-1586	83	5	applied	apply	VERB
cana-1586	83	6	nonlinear	nonlinear	ADJ
cana-1586	83	7	analysis	analysis	NOUN
cana-1586	83	8	issn	issn	NOUN
cana-1586	83	9	:	:	PUNCT
cana-1586	83	10	1074	1074	NUM
cana-1586	83	11	-	-	PUNCT
cana-1586	83	12	133x	133x	NUM
cana-1586	83	13	vol	vol	NOUN
cana-1586	83	14	31	31	NUM
cana-1586	83	15	no	no	NOUN
cana-1586	83	16	.	.	PUNCT
cana-1586	84	1	8s	8s	PROPN
cana-1586	84	2	(	(	PUNCT
cana-1586	84	3	2024	2024	NUM
cana-1586	84	4	)	)	PUNCT
cana-1586	84	5	751	751	NUM
cana-1586	84	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1586	84	7	i.e	i.e	X
cana-1586	84	8	,	,	PUNCT
cana-1586	84	9	(	(	PUNCT
cana-1586	84	10	)	)	PUNCT
cana-1586	84	11	(	(	PUNCT
cana-1586	84	12	)	)	PUNCT
cana-1586	84	13	af	af	PROPN
cana-1586	84	14	~	~	PUNCT
cana-1586	84	15	τ~	τ~	NUM
cana-1586	84	16			NOUN
cana-1586	84	17	is	be	AUX
cana-1586	84	18	the	the	DET
cana-1586	84	19	given	give	VERB
cana-1586	84	20	topology	topology	NOUN
cana-1586	84	21	on	on	ADP
cana-1586	84	22	x	x	PUNCT
cana-1586	84	23	called	call	VERB
cana-1586	84	24	the	the	DET
cana-1586	84	25	nfst	nfst	NOUN
cana-1586	84	26	on	on	ADP
cana-1586	84	27	x	x	PUNCT
cana-1586	84	28	with	with	ADP
cana-1586	84	29	respect	respect	NOUN
cana-1586	84	30	to	to	ADP
cana-1586	84	31	af	af	PROPN
cana-1586	84	32	~	~	PUNCT
cana-1586	84	33	.	.	PUNCT
cana-1586	85	1	we	we	PRON
cana-1586	85	2	call	call	VERB
cana-1586	85	3	(	(	PUNCT
cana-1586	85	4	)	)	PUNCT
cana-1586	85	5	(	(	PUNCT
cana-1586	85	6	)	)	PUNCT
cana-1586	85	7	(	(	PUNCT
cana-1586	85	8	)	)	PUNCT
cana-1586	85	9	ef	ef	PROPN
cana-1586	85	10	~	~	PUNCT
cana-1586	85	11	τ	τ	X
cana-1586	85	12	~	~	SYM
cana-1586	85	13	x	x	X
cana-1586	85	14	,	,	PUNCT
cana-1586	85	15	,	,	PUNCT
cana-1586	85	16	a	a	NOUN
cana-1586	85	17	as	as	ADP
cana-1586	85	18	the	the	DET
cana-1586	85	19	nfsts	nfst	NOUN
cana-1586	85	20	.	.	PUNCT
cana-1586	86	1	the	the	DET
cana-1586	86	2	elements	element	NOUN
cana-1586	86	3	of	of	ADP
cana-1586	86	4	the	the	DET
cana-1586	86	5	nfsts	nfst	NOUN
cana-1586	86	6	that	that	PRON
cana-1586	86	7	is	be	AUX
cana-1586	86	8	(	(	PUNCT
cana-1586	86	9	)	)	PUNCT
cana-1586	86	10	(	(	PUNCT
cana-1586	86	11	)	)	PUNCT
cana-1586	86	12	af	af	PROPN
cana-1586	86	13	~	~	PUNCT
cana-1586	86	14	τ~	τ~	NUM
cana-1586	86	15			NOUN
cana-1586	86	16	,	,	PUNCT
cana-1586	86	17	are	be	AUX
cana-1586	86	18	called	call	VERB
cana-1586	86	19	nano	nano	ADJ
cana-1586	86	20	fuzzy	fuzzy	ADJ
cana-1586	86	21	soft	soft	ADJ
cana-1586	86	22	open	open	ADJ
cana-1586	86	23	sets	set	NOUN
cana-1586	86	24	and	and	CCONJ
cana-1586	86	25	elements	element	NOUN
cana-1586	86	26	of	of	ADP
cana-1586	86	27	(	(	PUNCT
cana-1586	86	28	)	)	PUNCT
cana-1586	86	29	(	(	PUNCT
cana-1586	86	30	)	)	PUNCT
cana-1586	86	31	caf	caf	NOUN
cana-1586	86	32	~	~	PUNCT
cana-1586	86	33	τ~	τ~	NUM
cana-1586	86	34			NOUN
cana-1586	86	35	are	be	AUX
cana-1586	86	36	called	call	VERB
cana-1586	86	37	nano	nano	ADJ
cana-1586	86	38	fuzzy	fuzzy	ADJ
cana-1586	86	39	soft	soft	ADJ
cana-1586	86	40	closed	closed	ADJ
cana-1586	86	41	sets	set	NOUN
cana-1586	86	42	.	.	PUNCT
cana-1586	87	1	let	let	VERB
cana-1586	87	2	nano	nano	NOUN
cana-1586	87	3	fuzzy	fuzzy	ADJ
cana-1586	87	4	soft	soft	ADJ
cana-1586	87	5	topology	topology	NOUN
cana-1586	87	6	may	may	AUX
cana-1586	87	7	be	be	AUX
cana-1586	87	8	denoted	denote	VERB
cana-1586	87	9	by	by	ADP
cana-1586	87	10	nfst	nfst	NOUN
cana-1586	87	11	and	and	CCONJ
cana-1586	87	12	nano	nano	NOUN
cana-1586	87	13	fuzzy	fuzzy	ADJ
cana-1586	87	14	soft	soft	ADJ
cana-1586	87	15	topological	topological	ADJ
cana-1586	87	16	space	space	NOUN
cana-1586	87	17	may	may	AUX
cana-1586	87	18	be	be	AUX
cana-1586	87	19	denoted	denote	VERB
cana-1586	87	20	by	by	ADP
cana-1586	87	21	nfsts	nfst	NOUN
cana-1586	87	22	for	for	ADP
cana-1586	87	23	easy	easy	ADJ
cana-1586	87	24	reference	reference	NOUN
cana-1586	87	25	.	.	PUNCT
cana-1586	88	1	let	let	VERB
cana-1586	88	2	nano	nano	NOUN
cana-1586	88	3	fuzzy	fuzzy	ADJ
cana-1586	88	4	soft	soft	ADJ
cana-1586	88	5	open	open	ADJ
cana-1586	88	6	sets	set	NOUN
cana-1586	88	7	be	be	AUX
cana-1586	88	8	denoted	denote	VERB
cana-1586	88	9	by	by	ADP
cana-1586	88	10	nfso	nfso	NOUN
cana-1586	88	11	set	set	VERB
cana-1586	88	12	and	and	CCONJ
cana-1586	88	13	nano	nano	ADJ
cana-1586	88	14	fuzzy	fuzzy	ADJ
cana-1586	88	15	soft	soft	ADJ
cana-1586	88	16	closed	closed	ADJ
cana-1586	88	17	sets	set	NOUN
cana-1586	88	18	be	be	AUX
cana-1586	88	19	denoted	denote	VERB
cana-1586	88	20	by	by	ADP
cana-1586	88	21	nfsc	nfsc	ADJ
cana-1586	88	22	set	set	NOUN
cana-1586	88	23	.	.	PUNCT
cana-1586	89	1	definition	definition	NOUN
cana-1586	89	2	2.12	2.12	NUM
cana-1586	89	3	:	:	PUNCT
cana-1586	89	4	let	let	VERB
cana-1586	89	5	(	(	PUNCT
cana-1586	89	6	)	)	PUNCT
cana-1586	89	7	(	(	PUNCT
cana-1586	89	8	)	)	PUNCT
cana-1586	89	9	(	(	PUNCT
cana-1586	89	10	)	)	PUNCT
cana-1586	89	11	ef	ef	PROPN
cana-1586	89	12	~	~	PUNCT
cana-1586	89	13	τ	τ	X
cana-1586	89	14	~	~	SYM
cana-1586	89	15	x	x	X
cana-1586	89	16	,	,	PUNCT
cana-1586	89	17	,	,	PUNCT
cana-1586	89	18	a	a	NOUN
cana-1586	89	19	be	be	VERB
cana-1586	89	20	a	a	DET
cana-1586	89	21	nfsts	nfst	NOUN
cana-1586	89	22	with	with	ADP
cana-1586	89	23	respect	respect	NOUN
cana-1586	89	24	to	to	ADP
cana-1586	89	25	af	af	PROPN
cana-1586	89	26	~	~	PUNCT
cana-1586	89	27	,	,	PUNCT
cana-1586	89	28	and	and	CCONJ
cana-1586	89	29	if	if	SCONJ
cana-1586	89	30	af	af	PROPN
cana-1586	89	31	~	~	PUNCT
cana-1586	89	32	≤	≤	NUM
cana-1586	89	33	x	x	X
cana-1586	89	34	,	,	PUNCT
cana-1586	89	35	then	then	ADV
cana-1586	89	36	(	(	PUNCT
cana-1586	89	37	)	)	PUNCT
cana-1586	89	38	af	af	PROPN
cana-1586	89	39	~	~	PUNCT
cana-1586	89	40	nfint	nfint	NOUN
cana-1586	89	41	denotes	denote	VERB
cana-1586	89	42	the	the	DET
cana-1586	89	43	nano	nano	NOUN
cana-1586	89	44	fuzzy	fuzzy	ADJ
cana-1586	89	45	soft	soft	ADJ
cana-1586	89	46	interior	interior	NOUN
cana-1586	89	47	of	of	ADP
cana-1586	89	48	af	af	PROPN
cana-1586	89	49	~	~	PUNCT
cana-1586	89	50	and	and	CCONJ
cana-1586	89	51	(	(	PUNCT
cana-1586	89	52	)	)	PUNCT
cana-1586	89	53	.	.	PUNCT
cana-1586	90	1	a	a	DET
cana-1586	90	2	f	f	PROPN
cana-1586	90	3	~	~	PUNCT
cana-1586	90	4	nfcl	nfcl	PROPN
cana-1586	90	5	denotes	denote	VERB
cana-1586	90	6	the	the	DET
cana-1586	90	7	nano	nano	NOUN
cana-1586	90	8	fuzzy	fuzzy	ADJ
cana-1586	90	9	soft	soft	ADJ
cana-1586	90	10	closure	closure	NOUN
cana-1586	90	11	of	of	ADP
cana-1586	90	12	af	af	PROPN
cana-1586	90	13	~	~	PUNCT
cana-1586	90	14	.	.	PUNCT
cana-1586	91	1	definition	definition	NOUN
cana-1586	91	2	2.13	2.13	NUM
cana-1586	91	3	:	:	PUNCT
cana-1586	91	4	let	let	VERB
cana-1586	91	5	af	af	VERB
cana-1586	91	6	~	~	PUNCT
cana-1586	91	7	be	be	AUX
cana-1586	91	8	a	a	DET
cana-1586	91	9	nano	nano	ADJ
cana-1586	91	10	fuzzy	fuzzy	ADJ
cana-1586	91	11	soft	soft	ADJ
cana-1586	91	12	set	set	NOUN
cana-1586	91	13	in	in	ADP
cana-1586	91	14	a	a	DET
cana-1586	91	15	nfsts	nfst	NOUN
cana-1586	91	16	(	(	PUNCT
cana-1586	91	17	)	)	PUNCT
cana-1586	91	18	(	(	PUNCT
cana-1586	91	19	)	)	PUNCT
cana-1586	91	20	(	(	PUNCT
cana-1586	91	21	)	)	PUNCT
cana-1586	91	22	e	e	X
cana-1586	91	23	,	,	PUNCT
cana-1586	91	24	f	f	X
cana-1586	91	25	~	~	PUNCT
cana-1586	91	26	τ	τ	X
cana-1586	91	27	~	~	SYM
cana-1586	91	28	x	x	X
cana-1586	91	29	,	,	PUNCT
cana-1586	91	30	a	a	NOUN
cana-1586	91	31	.then	.then	VERB
cana-1586	91	32	the	the	DET
cana-1586	91	33	nano	nano	NOUN
cana-1586	91	34	fuzzy	fuzzy	NOUN
cana-1586	91	35	s	s	PART
cana-1586	91	36	o	o	NOUN
cana-1586	91	37	f	f	X
cana-1586	91	38	t	t	PROPN
cana-1586	91	39	closure	closure	NOUN
cana-1586	91	40	and	and	CCONJ
cana-1586	91	41	nano	nano	VERB
cana-1586	91	42	fuzzy	fuzzy	NOUN
cana-1586	91	43	s	s	PART
cana-1586	91	44	o	o	NOUN
cana-1586	91	45	f	f	PROPN
cana-1586	91	46	t	t	PROPN
cana-1586	91	47	interior	interior	NOUN
cana-1586	91	48	of	of	ADP
cana-1586	91	49	af	af	PROPN
cana-1586	91	50	~	~	PUNCT
cana-1586	91	51	is	be	AUX
cana-1586	91	52	defined	define	VERB
cana-1586	91	53	respectively	respectively	ADV
cana-1586	91	54	as	as	ADP
cana-1586	91	55	(	(	PUNCT
cana-1586	91	56	)	)	PUNCT
cana-1586	91	57			PROPN
cana-1586	92	1	babba	babba	PROPN
cana-1586	92	2	g	g	NOUN
cana-1586	92	3	~	~	SYM
cana-1586	92	4	f	f	X
cana-1586	92	5	~	~	PUNCT
cana-1586	92	6	and	and	CCONJ
cana-1586	92	7	xin	xin	PROPN
cana-1586	92	8	set	set	VERB
cana-1586	92	9	nfsc	nfsc	PROPN
cana-1586	92	10	a	a	PRON
cana-1586	92	11	is	be	AUX
cana-1586	92	12	g~/	g~/	NOUN
cana-1586	93	1	g~	g~	VERB
cana-1586	93	2	f	f	X
cana-1586	93	3	~	~	PUNCT
cana-1586	93	4	nfcl	nfcl	PROPN
cana-1586	93	5	=	=	PROPN
cana-1586	93	6	(	(	PUNCT
cana-1586	93	7	)	)	PUNCT
cana-1586	94	1			PROPN
cana-1586	94	2	abbba	abbba	NOUN
cana-1586	94	3	f	f	X
cana-1586	94	4	~	~	PUNCT
cana-1586	94	5	g~	g~	PROPN
cana-1586	94	6	and	and	CCONJ
cana-1586	94	7	xin	xin	PROPN
cana-1586	94	8	set	set	VERB
cana-1586	94	9	nfso	nfso	NOUN
cana-1586	94	10	a	a	PRON
cana-1586	94	11	is	be	AUX
cana-1586	94	12	g~/	g~/	NOUN
cana-1586	95	1	g~	g~	VERB
cana-1586	95	2	f	f	X
cana-1586	96	1	~	~	PUNCT
cana-1586	96	2	nfint	nfint	NOUN
cana-1586	96	3	=	=	VERB
cana-1586	96	4	therefore	therefore	ADV
cana-1586	96	5	,	,	PUNCT
cana-1586	96	6	the	the	DET
cana-1586	96	7	smallest	small	ADJ
cana-1586	96	8	nano	nano	ADJ
cana-1586	96	9	fuzzy	fuzzy	ADJ
cana-1586	96	10	soft	soft	ADJ
cana-1586	96	11	closed	closed	ADJ
cana-1586	96	12	set	set	NOUN
cana-1586	96	13	is	be	AUX
cana-1586	96	14	represented	represent	VERB
cana-1586	96	15	by	by	ADP
cana-1586	96	16	)	)	PUNCT
cana-1586	96	17	f	f	PROPN
cana-1586	96	18	~	~	PUNCT
cana-1586	96	19	(	(	PUNCT
cana-1586	96	20	nfcl	nfcl	PROPN
cana-1586	96	21	a	a	DET
cana-1586	96	22	containing	contain	VERB
cana-1586	96	23	af	af	X
cana-1586	96	24	~	~	PUNCT
cana-1586	96	25	and	and	CCONJ
cana-1586	96	26	the	the	DET
cana-1586	96	27	largest	large	ADJ
cana-1586	96	28	nano	nano	ADJ
cana-1586	96	29	fuzzy	fuzzy	ADJ
cana-1586	96	30	soft	soft	ADJ
cana-1586	96	31	open	open	ADJ
cana-1586	96	32	set	set	NOUN
cana-1586	96	33	is	be	AUX
cana-1586	96	34	represented	represent	VERB
cana-1586	96	35	by	by	ADP
cana-1586	96	36	)	)	PUNCT
cana-1586	96	37	f	f	PROPN
cana-1586	96	38	~	~	PUNCT
cana-1586	96	39	(	(	PUNCT
cana-1586	96	40	nfcl	nfcl	PROPN
cana-1586	96	41	a	a	DET
cana-1586	96	42	contained	contain	VERB
cana-1586	96	43	in	in	ADP
cana-1586	96	44	.f	.f	PROPN
cana-1586	96	45	~	~	PUNCT
cana-1586	96	46	a	a	DET
cana-1586	96	47	3	3	NUM
cana-1586	96	48	:	:	PUNCT
cana-1586	96	49	theoretical	theoretical	ADJ
cana-1586	96	50	concepts	concept	NOUN
cana-1586	96	51	of	of	ADP
cana-1586	96	52	nano	nano	ADJ
cana-1586	96	53	fuzzy	fuzzy	ADJ
cana-1586	96	54	soft	soft	ADJ
cana-1586	96	55	topological	topological	ADJ
cana-1586	96	56	space	space	NOUN
cana-1586	96	57	theorem	theorem	VERB
cana-1586	96	58	3.1	3.1	NUM
cana-1586	96	59	:	:	PUNCT
cana-1586	96	60	let	let	VERB
cana-1586	96	61	af	af	VERB
cana-1586	96	62	~	~	VERB
cana-1586	96	63	be	be	AUX
cana-1586	96	64	a	a	DET
cana-1586	96	65	nfs	nfs	NOUN
cana-1586	96	66	set	set	VERB
cana-1586	96	67	in	in	ADP
cana-1586	96	68	a	a	DET
cana-1586	96	69	nfsts	nfst	NOUN
cana-1586	96	70	(	(	PUNCT
cana-1586	96	71	)	)	PUNCT
cana-1586	96	72	(	(	PUNCT
cana-1586	96	73	)	)	PUNCT
cana-1586	96	74	(	(	PUNCT
cana-1586	96	75	)	)	PUNCT
cana-1586	96	76	ef	ef	PROPN
cana-1586	96	77	~	~	PUNCT
cana-1586	96	78	τ	τ	X
cana-1586	96	79	~	~	SYM
cana-1586	96	80	x	x	X
cana-1586	96	81	,	,	PUNCT
cana-1586	96	82	,	,	PUNCT
cana-1586	96	83	a	a	NOUN
cana-1586	96	84	.	.	PUNCT
cana-1586	97	1	then	then	ADV
cana-1586	97	2	(	(	PUNCT
cana-1586	97	3	)	)	PUNCT
cana-1586	97	4	(	(	PUNCT
cana-1586	97	5	)	)	PUNCT
cana-1586	97	6	(	(	PUNCT
cana-1586	97	7	)	)	PUNCT
cana-1586	97	8	(	(	PUNCT
cana-1586	97	9	)	)	PUNCT
cana-1586	97	10	c	c	PROPN
cana-1586	97	11	a	a	DET
cana-1586	97	12	c	c	NOUN
cana-1586	97	13	a	a	DET
cana-1586	97	14	f	f	X
cana-1586	97	15	~	~	PUNCT
cana-1586	97	16	nfclf	nfclf	X
cana-1586	97	17	~	~	PUNCT
cana-1586	97	18	nfint	nfint	NOUN
cana-1586	97	19	(	(	PUNCT
cana-1586	97	20	i	i	NOUN
cana-1586	97	21	)	)	PUNCT
cana-1586	97	22	=	=	SYM
cana-1586	98	1	(	(	PUNCT
cana-1586	98	2	)	)	PUNCT
cana-1586	98	3	(	(	PUNCT
cana-1586	98	4	)	)	PUNCT
cana-1586	98	5	(	(	PUNCT
cana-1586	98	6	)	)	PUNCT
cana-1586	98	7	(	(	PUNCT
cana-1586	98	8	)	)	PUNCT
cana-1586	98	9	c	c	PROPN
cana-1586	98	10	a	a	DET
cana-1586	98	11	c	c	NOUN
cana-1586	98	12	a	a	DET
cana-1586	98	13	f	f	X
cana-1586	98	14	~	~	PUNCT
cana-1586	98	15	nfintf	nfintf	X
cana-1586	98	16	~	~	PUNCT
cana-1586	98	17	nfcl	nfcl	PROPN
cana-1586	98	18	(	(	PUNCT
cana-1586	98	19	ii	ii	NOUN
cana-1586	98	20	)	)	PUNCT
cana-1586	99	1	=	=	NOUN
cana-1586	99	2	proof	proof	NOUN
cana-1586	99	3	:	:	PUNCT
cana-1586	99	4	(	(	PUNCT
cana-1586	99	5	)	)	PUNCT
cana-1586	99	6			NOUN
cana-1586	99	7	abb	abb	PROPN
cana-1586	99	8	ba	ba	PROPN
cana-1586	99	9	f	f	X
cana-1586	99	10	~	~	PUNCT
cana-1586	100	1	g~	g~	PROPN
cana-1586	100	2	and	and	CCONJ
cana-1586	100	3	xin	xin	PROPN
cana-1586	100	4	set	set	VERB
cana-1586	100	5	nfso	nfso	NOUN
cana-1586	100	6	a	a	PRON
cana-1586	100	7	is	be	AUX
cana-1586	100	8	g~/	g~/	NOUN
cana-1586	101	1	g~	g~	VERB
cana-1586	101	2	f	f	X
cana-1586	102	1	~	~	PUNCT
cana-1586	102	2	nfint	nfint	NOUN
cana-1586	102	3	(	(	PUNCT
cana-1586	102	4	i	i	NOUN
cana-1586	102	5	)	)	PUNCT
cana-1586	102	6	=	=	PROPN
cana-1586	102	7	(	(	PUNCT
cana-1586	102	8	)	)	PUNCT
cana-1586	102	9	(	(	PUNCT
cana-1586	102	10	)	)	PUNCT
cana-1586	102	11			PROPN
cana-1586	102	12			PROPN
cana-1586	102	13	(	(	PUNCT
cana-1586	102	14	)	)	PUNCT
cana-1586	102	15	cabbb	cabbb	PROPN
cana-1586	102	16	c	c	NOUN
cana-1586	102	17	a	a	DET
cana-1586	102	18	f	f	X
cana-1586	102	19	~	~	PUNCT
cana-1586	102	20	g~	g~	PROPN
cana-1586	102	21	and	and	CCONJ
cana-1586	102	22	xin	xin	PROPN
cana-1586	102	23	set	set	VERB
cana-1586	102	24	nfso	nfso	NOUN
cana-1586	102	25	a	a	PRON
cana-1586	102	26	is	be	AUX
cana-1586	102	27	g~	g~	PROPN
cana-1586	102	28	/	/	SYM
cana-1586	103	1	g~	g~	NOUN
cana-1586	103	2	f	f	X
cana-1586	103	3	~	~	PUNCT
cana-1586	103	4	nfint	nfint	NOUN
cana-1586	103	5	=	=	PROPN
cana-1586	103	6	(	(	PUNCT
cana-1586	103	7	)	)	PUNCT
cana-1586	103	8	(	(	PUNCT
cana-1586	103	9	)	)	PUNCT
cana-1586	103	10	(	(	PUNCT
cana-1586	103	11	)	)	PUNCT
cana-1586	103	12	(	(	PUNCT
cana-1586	103	13	)	)	PUNCT
cana-1586	103	14			NOUN
cana-1586	103	15	c	c	VERB
cana-1586	103	16	a	a	DET
cana-1586	103	17	c	c	NOUN
cana-1586	103	18	b	b	PROPN
cana-1586	103	19	c	c	PROPN
cana-1586	103	20	b	b	PROPN
cana-1586	103	21	c	c	PROPN
cana-1586	103	22	b	b	PROPN
cana-1586	103	23	f	f	X
cana-1586	103	24	~	~	PUNCT
cana-1586	103	25	g~	g~	PROPN
cana-1586	103	26	and	and	CCONJ
cana-1586	103	27	xin	xin	PROPN
cana-1586	103	28	set	set	VERB
cana-1586	103	29	nfsc	nfsc	PROPN
cana-1586	103	30	a	a	PRON
cana-1586	103	31	is	be	AUX
cana-1586	103	32	g~/	g~/	NOUN
cana-1586	103	33	g~	g~	ADJ
cana-1586	103	34	=	=	NOUN
cana-1586	103	35	(	(	PUNCT
cana-1586	103	36	)	)	PUNCT
cana-1586	103	37	(	(	PUNCT
cana-1586	103	38	)	)	PUNCT
cana-1586	103	39	c	c	NOUN
cana-1586	103	40	af	af	PROPN
cana-1586	103	41	~	~	PUNCT
cana-1586	103	42	nfcl=	nfcl=	X
cana-1586	103	43	(	(	PUNCT
cana-1586	103	44	)	)	PUNCT
cana-1586	103	45			PROPN
cana-1586	103	46	bg	bg	PROPN
cana-1586	103	47	~	~	X
cana-1586	103	48	af	af	X
cana-1586	103	49	~	~	PUNCT
cana-1586	103	50	and	and	CCONJ
cana-1586	103	51	xn	xn	PROPN
cana-1586	103	52	iset	iset	PROPN
cana-1586	103	53	nfsc	nfsc	PROPN
cana-1586	103	54	a	a	PRON
cana-1586	103	55	is	be	AUX
cana-1586	103	56	bg~	bg~	PROPN
cana-1586	103	57	/	/	SYM
cana-1586	103	58	bg~	bg~	PROPN
cana-1586	103	59	af	af	NOUN
cana-1586	103	60	~	~	PUNCT
cana-1586	103	61	nfcl	nfcl	PROPN
cana-1586	103	62	(	(	PUNCT
cana-1586	103	63	ii	ii	NOUN
cana-1586	103	64	)	)	PUNCT
cana-1586	103	65	=	=	PROPN
cana-1586	103	66	(	(	PUNCT
cana-1586	103	67	)	)	PUNCT
cana-1586	103	68	(	(	PUNCT
cana-1586	103	69	)	)	PUNCT
cana-1586	103	70			PROPN
cana-1586	104	1			PROPN
cana-1586	104	2	(	(	PUNCT
cana-1586	104	3	)	)	PUNCT
cana-1586	104	4	cbg	cbg	PROPN
cana-1586	104	5	~	~	PROPN
cana-1586	104	6	af	af	X
cana-1586	104	7	~	~	PUNCT
cana-1586	104	8	and	and	CCONJ
cana-1586	104	9	xin	xin	PROPN
cana-1586	104	10	set	set	VERB
cana-1586	104	11	nfsc	nfsc	PROPN
cana-1586	104	12	a	a	PRON
cana-1586	104	13	is	be	AUX
cana-1586	104	14	bg~	bg~	PROPN
cana-1586	104	15	/	/	SYM
cana-1586	104	16	bg~	bg~	PROPN
cana-1586	104	17	c	c	NOUN
cana-1586	104	18	af	af	NOUN
cana-1586	104	19	~	~	PUNCT
cana-1586	104	20	nfcl	nfcl	PROPN
cana-1586	104	21	=	=	PROPN
cana-1586	104	22	(	(	PUNCT
cana-1586	104	23	)	)	PUNCT
cana-1586	104	24	(	(	PUNCT
cana-1586	104	25	)	)	PUNCT
cana-1586	104	26	(	(	PUNCT
cana-1586	104	27	)	)	PUNCT
cana-1586	104	28	(	(	PUNCT
cana-1586	104	29	)	)	PUNCT
cana-1586	104	30			NOUN
cana-1586	104	31	c	c	PROPN
cana-1586	104	32	bg~	bg~	PROPN
cana-1586	104	33	c	c	NOUN
cana-1586	104	34	af	af	NOUN
cana-1586	104	35	~	~	PUNCT
cana-1586	104	36	and	and	CCONJ
cana-1586	104	37	xin	xin	PROPN
cana-1586	104	38	set	set	VERB
cana-1586	104	39	nfso	nfso	NOUN
cana-1586	104	40	a	a	PRON
cana-1586	104	41	is	be	AUX
cana-1586	104	42	c	c	X
cana-1586	104	43	bg~/	bg~/	PROPN
cana-1586	105	1	c	c	PROPN
cana-1586	105	2	bg~	bg~	PROPN
cana-1586	105	3	=	=	PROPN
cana-1586	105	4	(	(	PUNCT
cana-1586	105	5	)	)	PUNCT
cana-1586	105	6	(	(	PUNCT
cana-1586	105	7	)	)	PUNCT
cana-1586	105	8	c	c	NOUN
cana-1586	105	9	af	af	X
cana-1586	105	10	~	~	PUNCT
cana-1586	105	11	nfint=	nfint=	ADJ
cana-1586	105	12	communications	communication	NOUN
cana-1586	105	13	on	on	ADP
cana-1586	105	14	applied	apply	VERB
cana-1586	105	15	nonlinear	nonlinear	ADJ
cana-1586	105	16	analysis	analysis	NOUN
cana-1586	105	17	issn	issn	NOUN
cana-1586	105	18	:	:	PUNCT
cana-1586	105	19	1074	1074	NUM
cana-1586	105	20	-	-	PUNCT
cana-1586	105	21	133x	133x	NUM
cana-1586	105	22	vol	vol	NOUN
cana-1586	105	23	31	31	NUM
cana-1586	105	24	no	no	NOUN
cana-1586	105	25	.	.	PUNCT
cana-1586	106	1	8s	8s	PROPN
cana-1586	106	2	(	(	PUNCT
cana-1586	106	3	2024	2024	NUM
cana-1586	106	4	)	)	PUNCT
cana-1586	106	5	752	752	NUM
cana-1586	106	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1586	106	7	theorem	theorem	VERB
cana-1586	106	8	3.2	3.2	NUM
cana-1586	106	9	:	:	PUNCT
cana-1586	106	10	let	let	VERB
cana-1586	106	11	af	af	VERB
cana-1586	106	12	~	~	PUNCT
cana-1586	106	13	and	and	CCONJ
cana-1586	106	14	dh	dh	NOUN
cana-1586	106	15	~	~	PUNCT
cana-1586	106	16	be	be	AUX
cana-1586	106	17	any	any	DET
cana-1586	106	18	two	two	NUM
cana-1586	106	19	nfs	nfs	NOUN
cana-1586	106	20	sets	set	NOUN
cana-1586	106	21	in	in	ADP
cana-1586	106	22	a	a	DET
cana-1586	106	23	nfsts	nfst	NOUN
cana-1586	106	24	(	(	PUNCT
cana-1586	106	25	)	)	PUNCT
cana-1586	106	26	(	(	PUNCT
cana-1586	106	27	)	)	PUNCT
cana-1586	106	28	(	(	PUNCT
cana-1586	106	29	)	)	PUNCT
cana-1586	106	30	e	e	X
cana-1586	106	31	,	,	PUNCT
cana-1586	106	32	f	f	X
cana-1586	106	33	~	~	PUNCT
cana-1586	106	34	τ	τ	X
cana-1586	106	35	~	~	SYM
cana-1586	106	36	x	x	X
cana-1586	106	37	,	,	PUNCT
cana-1586	106	38	a	a	NOUN
cana-1586	106	39	.then	.then	VERB
cana-1586	107	1	(	(	PUNCT
cana-1586	107	2	)	)	PUNCT
cana-1586	107	3	aa	aa	NOUN
cana-1586	107	4	f	f	X
cana-1586	107	5	~	~	PUNCT
cana-1586	107	6	nfclf	nfclf	X
cana-1586	107	7	~	~	PUNCT
cana-1586	107	8	(	(	PUNCT
cana-1586	107	9	i	i	NOUN
cana-1586	107	10	)	)	PUNCT
cana-1586	107	11			NOUN
cana-1586	107	12	(	(	PUNCT
cana-1586	107	13	)	)	PUNCT
cana-1586	107	14	af	af	PROPN
cana-1586	107	15	~	~	PUNCT
cana-1586	107	16	nfcl	nfcl	PROPN
cana-1586	107	17	(	(	PUNCT
cana-1586	107	18	ii	ii	NOUN
cana-1586	107	19	)	)	PUNCT
cana-1586	107	20	is	be	AUX
cana-1586	107	21	a	a	DET
cana-1586	107	22	nfsc	nfsc	ADJ
cana-1586	107	23	set	set	NOUN
cana-1586	107	24	.	.	PUNCT
cana-1586	108	1	(	(	PUNCT
cana-1586	108	2	)	)	PUNCT
cana-1586	108	3	(	(	PUNCT
cana-1586	108	4	)	)	PUNCT
cana-1586	108	5	1	1	NUM
cana-1586	108	6	~	~	SYM
cana-1586	108	7	1	1	NUM
cana-1586	108	8	~	~	PUNCT
cana-1586	108	9	cl,0	cl,0	PROPN
cana-1586	108	10	~	~	PUNCT
cana-1586	108	11	0	0	PUNCT
cana-1586	108	12	~	~	PUNCT
cana-1586	108	13	cl	cl	INTJ
cana-1586	108	14	(	(	PUNCT
cana-1586	108	15	iii	iii	NOUN
cana-1586	108	16	)	)	PUNCT
cana-1586	108	17	=	=	SYM
cana-1586	108	18	=	=	SYM
cana-1586	108	19	(	(	PUNCT
cana-1586	108	20	)	)	PUNCT
cana-1586	108	21	aa	aa	NOUN
cana-1586	108	22	a	a	DET
cana-1586	108	23	f	f	X
cana-1586	108	24	~	~	PUNCT
cana-1586	108	25	nfclf	nfclf	X
cana-1586	108	26	~	~	PUNCT
cana-1586	108	27	ifset	ifset	PROPN
cana-1586	108	28	closedsoft	closedsoft	ADJ
cana-1586	108	29	fuzzy	fuzzy	ADJ
cana-1586	108	30	nano	nano	PROPN
cana-1586	108	31	a	a	DET
cana-1586	108	32	isf	isf	NOUN
cana-1586	108	33	~	~	PUNCT
cana-1586	108	34	v)(i	v)(i	PROPN
cana-1586	108	35	=	=	SYM
cana-1586	108	36	(	(	PUNCT
cana-1586	108	37	)	)	PUNCT
cana-1586	108	38	(	(	PUNCT
cana-1586	108	39	)	)	PUNCT
cana-1586	108	40	(	(	PUNCT
cana-1586	108	41	)	)	PUNCT
cana-1586	108	42	aa	aa	NOUN
cana-1586	108	43	f	f	X
cana-1586	108	44	~	~	PUNCT
cana-1586	108	45	nfclf	nfclf	X
cana-1586	108	46	~	~	PUNCT
cana-1586	108	47	nfclnfcl	nfclnfcl	PROPN
cana-1586	108	48	(	(	PUNCT
cana-1586	108	49	v	v	NOUN
cana-1586	108	50	)	)	PUNCT
cana-1586	108	51	=	=	SYM
cana-1586	108	52	(	(	PUNCT
cana-1586	108	53	)	)	PUNCT
cana-1586	108	54	(	(	PUNCT
cana-1586	108	55	)	)	PUNCT
cana-1586	108	56	(	(	PUNCT
cana-1586	108	57	)	)	PUNCT
cana-1586	108	58	h	h	NOUN
cana-1586	109	1	~	~	PUNCT
cana-1586	109	2	nfclf	nfclf	X
cana-1586	109	3	~	~	PUNCT
cana-1586	109	4	nfclh	nfclh	NOUN
cana-1586	109	5	~	~	PUNCT
cana-1586	109	6	f	f	X
cana-1586	109	7	~	~	PUNCT
cana-1586	109	8	nfcl	nfcl	PROPN
cana-1586	109	9	(	(	PUNCT
cana-1586	109	10	vi	vi	NOUN
cana-1586	109	11	)	)	PUNCT
cana-1586	109	12	dada	dada	NOUN
cana-1586	109	13	=	=	PROPN
cana-1586	109	14	(	(	PUNCT
cana-1586	109	15	)	)	PUNCT
cana-1586	109	16	(	(	PUNCT
cana-1586	109	17	)	)	PUNCT
cana-1586	109	18	(	(	PUNCT
cana-1586	109	19	)	)	PUNCT
cana-1586	109	20	dada	dada	PROPN
cana-1586	109	21	h	h	PROPN
cana-1586	109	22	~̂	~̂	PROPN
cana-1586	109	23	nfclf	nfclf	X
cana-1586	109	24	~̂	~̂	X
cana-1586	109	25	nfcl	nfcl	PROPN
cana-1586	109	26	h	h	NOUN
cana-1586	109	27	~̂	~̂	NOUN
cana-1586	109	28	f	f	PROPN
cana-1586	109	29	~̂	~̂	PROPN
cana-1586	109	30	nfcl	nfcl	PROPN
cana-1586	109	31	(	(	PUNCT
cana-1586	109	32	vii	vii	PROPN
cana-1586	109	33	)	)	PUNCT
cana-1586	109	34	=	=	ADJ
cana-1586	109	35	proof	proof	NOUN
cana-1586	109	36	:	:	PUNCT
cana-1586	109	37	closuresoft	closuresoft	ADJ
cana-1586	109	38	fuzzy	fuzzy	ADJ
cana-1586	109	39	nano	nano	NOUN
cana-1586	109	40	of	of	ADP
cana-1586	109	41	definition	definition	NOUN
cana-1586	109	42	y	y	PROPN
cana-1586	109	43	theb	theb	X
cana-1586	109	44	(	(	PUNCT
cana-1586	109	45	i	i	NOUN
cana-1586	109	46	)	)	PUNCT
cana-1586	109	47	.	.	PUNCT
cana-1586	110	1	(	(	PUNCT
cana-1586	110	2	)	)	PUNCT
cana-1586	110	3	aa	aa	NOUN
cana-1586	110	4	f	f	X
cana-1586	110	5	~	~	PUNCT
cana-1586	110	6	nfclf	nfclf	X
cana-1586	110	7	~	~	PUNCT
cana-1586	110	8			PROPN
cana-1586	110	9	(	(	PUNCT
cana-1586	110	10	ii	ii	NOUN
cana-1586	110	11	)	)	PUNCT
cana-1586	110	12	since	since	SCONJ
cana-1586	110	13	(	(	PUNCT
cana-1586	110	14	)	)	PUNCT
cana-1586	110	15	f	f	PROPN
cana-1586	110	16	~	~	PUNCT
cana-1586	110	17	nfcl	nfcl	NOUN
cana-1586	110	18	a	a	PRON
cana-1586	110	19	is	be	AUX
cana-1586	110	20	the	the	DET
cana-1586	110	21	intersection	intersection	NOUN
cana-1586	110	22	of	of	ADP
cana-1586	110	23	nfsc	nfsc	ADJ
cana-1586	110	24	sets	set	NOUN
cana-1586	110	25	,	,	PUNCT
cana-1586	110	26	(	(	PUNCT
cana-1586	110	27	)	)	PUNCT
cana-1586	110	28	f	f	PROPN
cana-1586	110	29	~	~	PUNCT
cana-1586	110	30	nfcl	nfcl	NOUN
cana-1586	110	31	a	a	PRON
cana-1586	110	32	is	be	AUX
cana-1586	110	33	a	a	DET
cana-1586	110	34	nfsc	nfsc	ADJ
cana-1586	110	35	set	set	NOUN
cana-1586	110	36	.	.	PUNCT
cana-1586	111	1	(	(	PUNCT
cana-1586	111	2	iii	iii	X
cana-1586	111	3	)	)	PUNCT
cana-1586	111	4	it	it	PRON
cana-1586	111	5	is	be	AUX
cana-1586	111	6	an	an	DET
cana-1586	111	7	obvious	obvious	ADJ
cana-1586	111	8	result	result	NOUN
cana-1586	111	9	.	.	PUNCT
cana-1586	112	1	(	(	PUNCT
cana-1586	112	2	iii	iii	X
cana-1586	112	3	)	)	PUNCT
cana-1586	112	4	let	let	VERB
cana-1586	112	5	af	af	NOUN
cana-1586	112	6	~̂	~̂	AUX
cana-1586	112	7	be	be	AUX
cana-1586	112	8	a	a	DET
cana-1586	112	9	nfs	nfs	NOUN
cana-1586	112	10	set	set	NOUN
cana-1586	112	11	.	.	PUNCT
cana-1586	113	1	therefore	therefore	ADV
cana-1586	113	2	(	(	PUNCT
cana-1586	113	3	)	)	PUNCT
cana-1586	113	4	aa	aa	INTJ
cana-1586	113	5	f	f	X
cana-1586	113	6	~	~	PUNCT
cana-1586	113	7	f	f	X
cana-1586	113	8	~	~	PUNCT
cana-1586	113	9	nfcl	nfcl	PROPN
cana-1586	113	10			NUM
cana-1586	113	11	(	(	PUNCT
cana-1586	113	12	1	1	NUM
cana-1586	113	13	)	)	PUNCT
cana-1586	113	14	since	since	SCONJ
cana-1586	113	15	(	(	PUNCT
cana-1586	113	16	)	)	PUNCT
cana-1586	113	17	af	af	PROPN
cana-1586	113	18	~	~	PUNCT
cana-1586	113	19	nfcl	nfcl	PROPN
cana-1586	113	20	is	be	AUX
cana-1586	113	21	the	the	DET
cana-1586	113	22	smallest	small	ADJ
cana-1586	113	23	nfsc	nfsc	ADJ
cana-1586	113	24	set	set	NOUN
cana-1586	113	25	containing	contain	VERB
cana-1586	113	26	af	af	PROPN
cana-1586	113	27	~̂	~̂	X
cana-1586	113	28	(	(	PUNCT
cana-1586	113	29	)	)	PUNCT
cana-1586	113	30	(	(	PUNCT
cana-1586	113	31	2	2	X
cana-1586	113	32	)	)	PUNCT
cana-1586	113	33	f	f	NOUN
cana-1586	114	1	~	~	PUNCT
cana-1586	114	2	f	f	X
cana-1586	114	3	~	~	PUNCT
cana-1586	114	4	nfcl	nfcl	PROPN
cana-1586	114	5	aa	aa	PROPN
cana-1586	114	6			PROPN
cana-1586	114	7	from	from	ADP
cana-1586	114	8	(	(	PUNCT
cana-1586	114	9	1	1	NUM
cana-1586	114	10	)	)	PUNCT
cana-1586	114	11	and	and	CCONJ
cana-1586	114	12	(	(	PUNCT
cana-1586	114	13	2	2	X
cana-1586	114	14	)	)	PUNCT
cana-1586	114	15	we	we	PRON
cana-1586	114	16	get	get	VERB
cana-1586	114	17	(	(	PUNCT
cana-1586	114	18	)	)	PUNCT
cana-1586	114	19	aa	aa	INTJ
cana-1586	115	1	f	f	X
cana-1586	115	2	~	~	PUNCT
cana-1586	115	3	f	f	X
cana-1586	115	4	~	~	PUNCT
cana-1586	115	5	nfcl	nfcl	NOUN
cana-1586	115	6	=	=	PRON
cana-1586	115	7	conversely	conversely	ADV
cana-1586	115	8	assume	assume	VERB
cana-1586	115	9	that	that	SCONJ
cana-1586	115	10	(	(	PUNCT
cana-1586	115	11	)	)	PUNCT
cana-1586	115	12	aa	aa	INTJ
cana-1586	115	13	f	f	X
cana-1586	115	14	~	~	PUNCT
cana-1586	115	15	f	f	X
cana-1586	115	16	~	~	PUNCT
cana-1586	115	17	nfcl	nfcl	NOUN
cana-1586	115	18	=	=	SYM
cana-1586	115	19	(	(	PUNCT
cana-1586	115	20	)	)	PUNCT
cana-1586	115	21	af	af	PROPN
cana-1586	115	22	~	~	PUNCT
cana-1586	115	23	nfcl	nfcl	NOUN
cana-1586	115	24	since	since	SCONJ
cana-1586	115	25	is	be	AUX
cana-1586	115	26	the	the	DET
cana-1586	115	27	nfsc	nfsc	ADV
cana-1586	115	28	set	set	NOUN
cana-1586	115	29	af	af	NOUN
cana-1586	115	30	~	~	PUNCT
cana-1586	115	31			NOUN
cana-1586	115	32	is	be	AUX
cana-1586	115	33	a	a	DET
cana-1586	115	34	nfsc	nfsc	ADJ
cana-1586	115	35	set	set	NOUN
cana-1586	115	36	.	.	PUNCT
cana-1586	116	1	(	(	PUNCT
cana-1586	116	2	v	v	NOUN
cana-1586	116	3	)	)	PUNCT
cana-1586	116	4	since	since	SCONJ
cana-1586	116	5	(	(	PUNCT
cana-1586	116	6	)	)	PUNCT
cana-1586	116	7	af	af	PROPN
cana-1586	116	8	~	~	PUNCT
cana-1586	116	9	nfcl	nfcl	NOUN
cana-1586	116	10	is	be	AUX
cana-1586	116	11	a	a	DET
cana-1586	116	12	nfsc	nfsc	ADJ
cana-1586	116	13	set	set	NOUN
cana-1586	116	14	,	,	PUNCT
cana-1586	116	15	by	by	ADP
cana-1586	116	16	the	the	DET
cana-1586	116	17	above	above	ADJ
cana-1586	116	18	result	result	NOUN
cana-1586	116	19	we	we	PRON
cana-1586	116	20	get	get	VERB
cana-1586	116	21	(	(	PUNCT
cana-1586	116	22	)	)	PUNCT
cana-1586	116	23	(	(	PUNCT
cana-1586	116	24	)	)	PUNCT
cana-1586	117	1	(	(	PUNCT
cana-1586	117	2	)	)	PUNCT
cana-1586	117	3	aa	aa	NOUN
cana-1586	117	4	f	f	X
cana-1586	117	5	~	~	PUNCT
cana-1586	117	6	nfclf	nfclf	X
cana-1586	117	7	~	~	PUNCT
cana-1586	117	8	nfcl	nfcl	PROPN
cana-1586	117	9	nfcl	nfcl	PROPN
cana-1586	117	10	=	=	SYM
cana-1586	117	11	communications	communication	NOUN
cana-1586	117	12	on	on	ADP
cana-1586	117	13	applied	apply	VERB
cana-1586	117	14	nonlinear	nonlinear	ADJ
cana-1586	117	15	analysis	analysis	NOUN
cana-1586	117	16	issn	issn	NOUN
cana-1586	117	17	:	:	PUNCT
cana-1586	117	18	1074	1074	NUM
cana-1586	117	19	-	-	PUNCT
cana-1586	117	20	133x	133x	NUM
cana-1586	117	21	vol	vol	NOUN
cana-1586	117	22	31	31	NUM
cana-1586	117	23	no	no	NOUN
cana-1586	117	24	.	.	PUNCT
cana-1586	118	1	8s	8s	PROPN
cana-1586	118	2	(	(	PUNCT
cana-1586	118	3	2024	2024	NUM
cana-1586	118	4	)	)	PUNCT
cana-1586	118	5	753	753	NUM
cana-1586	118	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1586	118	7	(	(	PUNCT
cana-1586	118	8	vi	vi	NOUN
cana-1586	118	9	)	)	PUNCT
cana-1586	118	10	daddaa	daddaa	NOUN
cana-1586	118	11	h	h	NOUN
cana-1586	118	12	~	~	PUNCT
cana-1586	118	13	f	f	X
cana-1586	118	14	~	~	PUNCT
cana-1586	118	15	h	h	NOUN
cana-1586	118	16	~	~	PUNCT
cana-1586	118	17	and	and	CCONJ
cana-1586	118	18	h	h	NOUN
cana-1586	118	19	~	~	PUNCT
cana-1586	118	20	f	f	X
cana-1586	118	21	~	~	PUNCT
cana-1586	118	22	f	f	X
cana-1586	118	23	~	~	PUNCT
cana-1586	118	24			X
cana-1586	118	25	,	,	PUNCT
cana-1586	118	26	then	then	ADV
cana-1586	118	27	(	(	PUNCT
cana-1586	118	28	)	)	PUNCT
cana-1586	118	29	(	(	PUNCT
cana-1586	118	30	)	)	PUNCT
cana-1586	118	31	h	h	NOUN
cana-1586	118	32	~	~	PUNCT
cana-1586	118	33	f	f	X
cana-1586	118	34	~	~	PUNCT
cana-1586	118	35	nfclf	nfclf	X
cana-1586	118	36	~	~	PUNCT
cana-1586	118	37	nfcl	nfcl	PROPN
cana-1586	118	38	daa	daa	PROPN
cana-1586	118	39			PROPN
cana-1586	118	40	(	(	PUNCT
cana-1586	118	41	)	)	PUNCT
cana-1586	118	42	(	(	PUNCT
cana-1586	118	43	)	)	PUNCT
cana-1586	118	44	dad	dad	NOUN
cana-1586	118	45	h	h	NOUN
cana-1586	118	46	~	~	PUNCT
cana-1586	118	47	f	f	X
cana-1586	118	48	~	~	PUNCT
cana-1586	118	49	nfclh	nfclh	PROPN
cana-1586	118	50	~	~	PUNCT
cana-1586	118	51	nfcl	nfcl	NOUN
cana-1586	118	52	and	and	CCONJ
cana-1586	118	53			PROPN
cana-1586	118	54	(	(	PUNCT
cana-1586	118	55	)	)	PUNCT
cana-1586	118	56	(	(	PUNCT
cana-1586	118	57	)	)	PUNCT
cana-1586	118	58	(	(	PUNCT
cana-1586	118	59	)	)	PUNCT
cana-1586	118	60	(	(	PUNCT
cana-1586	118	61	3	3	X
cana-1586	118	62	)	)	PUNCT
cana-1586	118	63	h	h	NOUN
cana-1586	118	64	~	~	PUNCT
cana-1586	118	65	f	f	X
cana-1586	118	66	~	~	PUNCT
cana-1586	118	67	nfclh	nfclh	PROPN
cana-1586	118	68	~	~	PUNCT
cana-1586	118	69	nfcl	nfcl	NOUN
cana-1586	118	70	f	f	PROPN
cana-1586	118	71	~	~	PUNCT
cana-1586	118	72	nfcl	nfcl	NOUN
cana-1586	118	73	therefore	therefore	ADV
cana-1586	118	74	dada	dada	PROPN
cana-1586	118	75			PROPN
cana-1586	118	76	(	(	PUNCT
cana-1586	118	77	)	)	PUNCT
cana-1586	118	78	(	(	PUNCT
cana-1586	118	79	)	)	PUNCT
cana-1586	118	80	ddaa	ddaa	NOUN
cana-1586	118	81	h	h	NOUN
cana-1586	118	82	~	~	PUNCT
cana-1586	118	83	nfcl	nfcl	NOUN
cana-1586	118	84	h	h	NOUN
cana-1586	118	85	~	~	PUNCT
cana-1586	118	86	and	and	CCONJ
cana-1586	118	87	f	f	X
cana-1586	118	88	~	~	PUNCT
cana-1586	118	89	nfcl	nfcl	PROPN
cana-1586	118	90	f	f	PROPN
cana-1586	118	91	~	~	PUNCT
cana-1586	118	92			PROPN
cana-1586	118	93	(	(	PUNCT
cana-1586	118	94	)	)	PUNCT
cana-1586	118	95	(	(	PUNCT
cana-1586	118	96	)	)	PUNCT
cana-1586	118	97	da	da	PROPN
cana-1586	118	98	da	da	PROPN
cana-1586	118	99	h	h	PROPN
cana-1586	118	100	~	~	PUNCT
cana-1586	118	101	nfcl	nfcl	NOUN
cana-1586	118	102	f	f	PROPN
cana-1586	118	103	~	~	PUNCT
cana-1586	118	104	nfclh	nfclh	PROPN
cana-1586	118	105	~	~	PUNCT
cana-1586	118	106	f	f	X
cana-1586	118	107	~	~	PUNCT
cana-1586	118	108	therefore	therefore	ADV
cana-1586	118	109			NUM
cana-1586	118	110	(	(	PUNCT
cana-1586	118	111	3	3	NUM
cana-1586	118	112	)	)	PUNCT
cana-1586	118	113	therefore	therefore	ADV
cana-1586	118	114	(	(	PUNCT
cana-1586	118	115	)	)	PUNCT
cana-1586	118	116	(	(	PUNCT
cana-1586	118	117	)	)	PUNCT
cana-1586	118	118	soft	soft	ADJ
cana-1586	118	119	fuzzy	fuzzy	ADJ
cana-1586	118	120	nano	nano	NOUN
cana-1586	118	121	theis	theis	PROPN
cana-1586	118	122	h	h	NOUN
cana-1586	118	123	~	~	PUNCT
cana-1586	118	124	nfcl	nfcl	NOUN
cana-1586	118	125	f	f	PROPN
cana-1586	118	126	~	~	PUNCT
cana-1586	118	127	nfcl	nfcl	NOUN
cana-1586	118	128	da	da	PROPN
cana-1586	118	129			NOUN
cana-1586	118	130	da	da	PROPN
cana-1586	118	131	h	h	NOUN
cana-1586	118	132	~	~	PUNCT
cana-1586	118	133	f	f	X
cana-1586	118	134	~	~	PUNCT
cana-1586	118	135	containingset	containingset	NOUN
cana-1586	118	136	closed	close	VERB
cana-1586	118	137			NOUN
cana-1586	118	138	(	(	PUNCT
cana-1586	118	139	)	)	PUNCT
cana-1586	118	140	smallest	small	ADJ
cana-1586	118	141	theis	theis	NOUN
cana-1586	118	142	h	h	NOUN
cana-1586	118	143	~	~	PUNCT
cana-1586	118	144	f	f	X
cana-1586	118	145	~	~	PUNCT
cana-1586	118	146	nfcl	nfcl	NOUN
cana-1586	118	147	therefore	therefore	ADV
cana-1586	118	148	da	da	PROPN
cana-1586	118	149			NOUN
cana-1586	118	150	ba	ba	NOUN
cana-1586	118	151	g	g	NOUN
cana-1586	118	152	~	~	SYM
cana-1586	118	153	f	f	X
cana-1586	118	154	~	~	PUNCT
cana-1586	118	155	containingset	containingset	NOUN
cana-1586	118	156	closedsoft	closedsoft	ADJ
cana-1586	118	157	fuzzy	fuzzy	ADJ
cana-1586	118	158	nano	nano	NOUN
cana-1586	118	159			NOUN
cana-1586	118	160	(	(	PUNCT
cana-1586	118	161	)	)	PUNCT
cana-1586	118	162	(	(	PUNCT
cana-1586	118	163	)	)	PUNCT
cana-1586	118	164	(	(	PUNCT
cana-1586	118	165	)	)	PUNCT
cana-1586	118	166	(	(	PUNCT
cana-1586	118	167	4	4	X
cana-1586	118	168	)	)	PUNCT
cana-1586	118	169	h	h	NOUN
cana-1586	118	170	~	~	PUNCT
cana-1586	118	171	nfcl	nfcl	NOUN
cana-1586	118	172	f	f	PROPN
cana-1586	118	173	~	~	PUNCT
cana-1586	118	174	nfcl	nfcl	NOUN
cana-1586	118	175	h	h	NOUN
cana-1586	118	176	~	~	PUNCT
cana-1586	118	177	f	f	X
cana-1586	118	178	~	~	PUNCT
cana-1586	118	179	nfcl	nfcl	NOUN
cana-1586	118	180	hence	hence	ADV
cana-1586	118	181	dada	dada	PROPN
cana-1586	118	182			NUM
cana-1586	118	183	(	(	PUNCT
cana-1586	118	184	4	4	NUM
cana-1586	118	185	)	)	PUNCT
cana-1586	118	186	,	,	PUNCT
cana-1586	118	187	and	and	CCONJ
cana-1586	118	188	(	(	PUNCT
cana-1586	118	189	3	3	X
cana-1586	118	190	)	)	PUNCT
cana-1586	118	191	from	from	ADP
cana-1586	118	192	(	(	PUNCT
cana-1586	118	193	)	)	PUNCT
cana-1586	118	194	(	(	PUNCT
cana-1586	118	195	)	)	PUNCT
cana-1586	118	196	(	(	PUNCT
cana-1586	118	197	)	)	PUNCT
cana-1586	118	198	h	h	NOUN
cana-1586	118	199	~	~	PUNCT
cana-1586	118	200	nfcl	nfcl	NOUN
cana-1586	118	201	f	f	PROPN
cana-1586	118	202	~	~	PUNCT
cana-1586	118	203	nfcl	nfcl	NOUN
cana-1586	118	204	h	h	NOUN
cana-1586	118	205	~	~	PUNCT
cana-1586	118	206	f	f	X
cana-1586	118	207	~	~	PUNCT
cana-1586	118	208	nfcl	nfcl	PROPN
cana-1586	118	209	dada	dada	PROPN
cana-1586	118	210	=	=	PROPN
cana-1586	118	211	(	(	PUNCT
cana-1586	118	212	vii	vii	PROPN
cana-1586	118	213	)	)	PUNCT
cana-1586	118	214	ddaada	ddaada	PROPN
cana-1586	118	215	h	h	NOUN
cana-1586	118	216	~	~	PUNCT
cana-1586	118	217	h	h	NOUN
cana-1586	118	218	~	~	PUNCT
cana-1586	118	219	f	f	X
cana-1586	118	220	~	~	PUNCT
cana-1586	118	221	and	and	CCONJ
cana-1586	118	222	f	f	X
cana-1586	118	223	~	~	PUNCT
cana-1586	118	224	h	h	NOUN
cana-1586	118	225	~	~	PUNCT
cana-1586	118	226	f	f	X
cana-1586	118	227	~	~	PUNCT
cana-1586	118	228			PROPN
cana-1586	118	229			ADV
cana-1586	118	230	(	(	PUNCT
cana-1586	118	231	)	)	PUNCT
cana-1586	118	232	(	(	PUNCT
cana-1586	118	233	)	)	PUNCT
cana-1586	118	234	f	f	PROPN
cana-1586	118	235	~	~	PUNCT
cana-1586	118	236	nfcl	nfcl	NOUN
cana-1586	118	237	h	h	NOUN
cana-1586	118	238	~	~	PUNCT
cana-1586	118	239	f	f	X
cana-1586	118	240	~	~	PUNCT
cana-1586	118	241	nfclthen	nfclthen	ADJ
cana-1586	118	242	ada	ada	PROPN
cana-1586	118	243			PROPN
cana-1586	118	244	(	(	PUNCT
cana-1586	118	245	)	)	PUNCT
cana-1586	118	246	(	(	PUNCT
cana-1586	118	247	)	)	PUNCT
cana-1586	118	248	h	h	NOUN
cana-1586	118	249	~	~	PUNCT
cana-1586	118	250	nfcl	nfcl	NOUN
cana-1586	118	251	h	h	NOUN
cana-1586	118	252	~	~	PUNCT
cana-1586	118	253	f	f	X
cana-1586	118	254	~	~	PUNCT
cana-1586	118	255	nfcl	nfcl	NOUN
cana-1586	118	256	and	and	CCONJ
cana-1586	118	257	dda	dda	ADJ
cana-1586	118	258			PROPN
cana-1586	118	259	(	(	PUNCT
cana-1586	118	260	)	)	PUNCT
cana-1586	118	261	(	(	PUNCT
cana-1586	118	262	)	)	PUNCT
cana-1586	118	263	(	(	PUNCT
cana-1586	118	264	)	)	PUNCT
cana-1586	118	265	h	h	NOUN
cana-1586	118	266	~	~	PUNCT
cana-1586	118	267	nfcl	nfcl	NOUN
cana-1586	118	268	f	f	PROPN
cana-1586	118	269	~	~	PUNCT
cana-1586	118	270	nfcl	nfcl	NOUN
cana-1586	118	271	h	h	NOUN
cana-1586	118	272	~	~	PUNCT
cana-1586	118	273	f	f	X
cana-1586	118	274	~	~	PUNCT
cana-1586	118	275	nfcl	nfcl	NOUN
cana-1586	118	276	therefore	therefore	ADV
cana-1586	118	277	dada	dada	PROPN
cana-1586	118	278			PROPN
cana-1586	118	279	4	4	X
cana-1586	118	280	.	.	X
cana-1586	118	281	application	application	NOUN
cana-1586	118	282	of	of	ADP
cana-1586	118	283	nano	nano	ADJ
cana-1586	118	284	fuzzy	fuzzy	ADJ
cana-1586	118	285	soft	soft	ADJ
cana-1586	118	286	topology	topology	NOUN
cana-1586	118	287	diabetes	diabetes	NOUN
cana-1586	118	288	or	or	CCONJ
cana-1586	118	289	blood	blood	NOUN
cana-1586	118	290	glucose	glucose	NOUN
cana-1586	118	291	has	have	AUX
cana-1586	118	292	become	become	VERB
cana-1586	118	293	one	one	NUM
cana-1586	118	294	of	of	ADP
cana-1586	118	295	the	the	DET
cana-1586	118	296	common	common	ADJ
cana-1586	118	297	diseases	disease	NOUN
cana-1586	118	298	among	among	ADP
cana-1586	118	299	the	the	DET
cana-1586	118	300	folk	folk	NOUN
cana-1586	118	301	.	.	PUNCT
cana-1586	119	1	glucose	glucose	NOUN
cana-1586	119	2	is	be	AUX
cana-1586	119	3	the	the	DET
cana-1586	119	4	main	main	ADJ
cana-1586	119	5	energy	energy	NOUN
cana-1586	119	6	source	source	NOUN
cana-1586	119	7	of	of	ADP
cana-1586	119	8	our	our	PRON
cana-1586	119	9	body	body	NOUN
cana-1586	119	10	.	.	PUNCT
cana-1586	120	1	the	the	DET
cana-1586	120	2	insulin	insulin	NOUN
cana-1586	120	3	,	,	PUNCT
cana-1586	120	4	secreted	secrete	VERB
cana-1586	120	5	by	by	ADP
cana-1586	120	6	the	the	DET
cana-1586	120	7	pancreas	pancrea	NOUN
cana-1586	120	8	,	,	PUNCT
cana-1586	120	9	helps	help	VERB
cana-1586	120	10	our	our	PRON
cana-1586	120	11	cells	cell	NOUN
cana-1586	120	12	absorb	absorb	VERB
cana-1586	120	13	glucose	glucose	NOUN
cana-1586	120	14	for	for	ADP
cana-1586	120	15	energy	energy	NOUN
cana-1586	120	16	.	.	PUNCT
cana-1586	121	1	diabetes	diabetes	NOUN
cana-1586	121	2	is	be	AUX
cana-1586	121	3	a	a	DET
cana-1586	121	4	result	result	NOUN
cana-1586	121	5	of	of	ADP
cana-1586	121	6	insufficient	insufficient	ADJ
cana-1586	121	7	insulin	insulin	NOUN
cana-1586	121	8	secretion	secretion	NOUN
cana-1586	121	9	.	.	PUNCT
cana-1586	122	1	diabetes	diabetes	NOUN
cana-1586	122	2	increases	increase	VERB
cana-1586	122	3	the	the	DET
cana-1586	122	4	risk	risk	NOUN
cana-1586	122	5	of	of	ADP
cana-1586	122	6	kidney	kidney	NOUN
cana-1586	122	7	,	,	PUNCT
cana-1586	122	8	nerve	nerve	NOUN
cana-1586	122	9	,	,	PUNCT
cana-1586	122	10	heart	heart	NOUN
cana-1586	122	11	,	,	PUNCT
cana-1586	122	12	and	and	CCONJ
cana-1586	122	13	eye	eye	NOUN
cana-1586	122	14	damage	damage	NOUN
cana-1586	122	15	.	.	PUNCT
cana-1586	123	1	there	there	PRON
cana-1586	123	2	is	be	VERB
cana-1586	123	3	a	a	DET
cana-1586	123	4	connection	connection	NOUN
cana-1586	123	5	between	between	ADP
cana-1586	123	6	diabetes	diabetes	NOUN
cana-1586	123	7	and	and	CCONJ
cana-1586	123	8	some	some	DET
cana-1586	123	9	type	type	NOUN
cana-1586	123	10	of	of	ADP
cana-1586	123	11	cancers	cancer	NOUN
cana-1586	123	12	.	.	PUNCT
cana-1586	124	1	the	the	DET
cana-1586	124	2	risk	risk	NOUN
cana-1586	124	3	factor	factor	NOUN
cana-1586	124	4	of	of	ADP
cana-1586	124	5	getting	get	VERB
cana-1586	124	6	diabetes	diabetes	NOUN
cana-1586	124	7	can	can	AUX
cana-1586	124	8	be	be	AUX
cana-1586	124	9	minimised	minimise	VERB
cana-1586	124	10	or	or	CCONJ
cana-1586	124	11	avoided	avoid	VERB
cana-1586	124	12	by	by	ADP
cana-1586	124	13	managing	manage	VERB
cana-1586	124	14	our	our	PRON
cana-1586	124	15	diet	diet	NOUN
cana-1586	124	16	in	in	ADP
cana-1586	124	17	a	a	DET
cana-1586	124	18	balanced	balanced	ADJ
cana-1586	124	19	way	way	NOUN
cana-1586	124	20	.	.	PUNCT
cana-1586	125	1	here	here	ADV
cana-1586	125	2	,	,	PUNCT
cana-1586	125	3	we	we	PRON
cana-1586	125	4	employ	employ	VERB
cana-1586	125	5	a	a	DET
cana-1586	125	6	mathematical	mathematical	ADJ
cana-1586	125	7	analysis	analysis	NOUN
cana-1586	125	8	to	to	PART
cana-1586	125	9	identify	identify	VERB
cana-1586	125	10	the	the	DET
cana-1586	125	11	fundamental	fundamental	ADJ
cana-1586	125	12	elements	element	NOUN
cana-1586	125	13	of	of	ADP
cana-1586	125	14	the	the	DET
cana-1586	125	15	disease	disease	NOUN
cana-1586	125	16	-	-	PUNCT
cana-1586	125	17	related	relate	VERB
cana-1586	125	18	symptoms	symptom	NOUN
cana-1586	125	19	.	.	PUNCT
cana-1586	126	1	mathematical	mathematical	ADJ
cana-1586	126	2	research	research	NOUN
cana-1586	126	3	analysis	analysis	NOUN
cana-1586	126	4	:	:	PUNCT
cana-1586	126	5	let	let	VERB
cana-1586	126	6			NOUN
cana-1586	126	7	15	15	NUM
cana-1586	126	8	1i	1i	NOUN
cana-1586	126	9	iptunion	iptunion	NOUN
cana-1586	126	10	=	=	PUNCT
cana-1586	127	1	=	=	PRON
cana-1586	127	2	represents	represent	VERB
cana-1586	127	3	the	the	DET
cana-1586	127	4	given	give	VERB
cana-1586	127	5	set	set	NOUN
cana-1586	127	6	of	of	ADP
cana-1586	127	7	patients	patient	NOUN
cana-1586	127	8	&	&	CCONJ
cana-1586	127	9	the	the	DET
cana-1586	127	10	condition	condition	NOUN
cana-1586	127	11	attributes	attribute	NOUN
cana-1586	127	12	are	be	AUX
cana-1586	127	13	given	give	VERB
cana-1586	127	14	as	as	ADP
cana-1586	127	15	itincreased	itincrease	VERB
cana-1586	127	16	thirst	thirst	NOUN
cana-1586	127	17	,	,	PUNCT
cana-1586	127	18	h	h	NOUN
cana-1586	127	19	-	-	NOUN
cana-1586	127	20	hunger	hunger	NOUN
cana-1586	127	21	,	,	PUNCT
cana-1586	127	22	f	f	X
cana-1586	127	23	-	-	PUNCT
cana-1586	127	24	fatigue	fatigue	NOUN
cana-1586	127	25	bvblurred	bvblurre	VERB
cana-1586	127	26	vision	vision	NOUN
cana-1586	127	27	,	,	PUNCT
cana-1586	127	28	v	v	NOUN
cana-1586	127	29	-	-	PUNCT
cana-1586	127	30	vomitting	vomitte	VERB
cana-1586	127	31	and	and	CCONJ
cana-1586	127	32	lw	lw	NOUN
cana-1586	127	33	-	-	PUNCT
cana-1586	127	34	loss	loss	NOUN
cana-1586	127	35	of	of	ADP
cana-1586	127	36	weight	weight	NOUN
cana-1586	127	37	.	.	PUNCT
cana-1586	128	1	here	here	ADV
cana-1586	128	2	c	c	PROPN
cana-1586	128	3	is	be	AUX
cana-1586	128	4	the	the	DET
cana-1586	128	5	decision	decision	NOUN
cana-1586	128	6	attribute	attribute	NOUN
cana-1586	128	7	=	=	PUNCT
cana-1586	128	8	{	{	PUNCT
cana-1586	128	9	diabetes	diabetes	NOUN
cana-1586	128	10	}	}	PUNCT
cana-1586	128	11	and	and	CCONJ
cana-1586	128	12	pt1	pt1	PROPN
cana-1586	128	13	=	=	SYM
cana-1586	128	14	{	{	PUNCT
cana-1586	128	15	it	it	PRON
cana-1586	128	16	,	,	PUNCT
cana-1586	128	17	h	h	NOUN
cana-1586	128	18	,	,	PUNCT
cana-1586	128	19	bv	bv	PROPN
cana-1586	128	20	,	,	PUNCT
cana-1586	128	21	v	v	NOUN
cana-1586	128	22	,	,	PUNCT
cana-1586	128	23	lw	lw	PROPN
cana-1586	128	24	}	}	PUNCT
cana-1586	128	25	,	,	PUNCT
cana-1586	128	26	pt2	pt2	PROPN
cana-1586	128	27	=	=	SYM
cana-1586	128	28	{	{	PUNCT
cana-1586	128	29	it	it	PRON
cana-1586	128	30	,	,	PUNCT
cana-1586	128	31	v	v	NOUN
cana-1586	128	32	,	,	PUNCT
cana-1586	128	33	lw	lw	NOUN
cana-1586	128	34	}	}	PUNCT
cana-1586	128	35	,	,	PUNCT
cana-1586	128	36	pt3	pt3	NOUN
cana-1586	128	37	=	=	SYM
cana-1586	128	38	{	{	PUNCT
cana-1586	128	39	it	it	PRON
cana-1586	128	40	,	,	PUNCT
cana-1586	128	41	h	h	NOUN
cana-1586	128	42	,	,	PUNCT
cana-1586	128	43	bv	bv	PROPN
cana-1586	128	44	,	,	PUNCT
cana-1586	128	45	v	v	NOUN
cana-1586	128	46	}	}	PUNCT
cana-1586	128	47	,	,	PUNCT
cana-1586	128	48	pt4	pt4	NOUN
cana-1586	128	49	=	=	SYM
cana-1586	128	50	{	{	PUNCT
cana-1586	128	51	it	it	PRON
cana-1586	128	52	,	,	PUNCT
cana-1586	128	53	f	f	X
cana-1586	128	54	}	}	PUNCT
cana-1586	128	55	,	,	PUNCT
cana-1586	128	56	pt5={it	pt5={it	VERB
cana-1586	128	57	,	,	PUNCT
cana-1586	128	58	f	f	NOUN
cana-1586	128	59	}	}	PUNCT
cana-1586	128	60	,	,	PUNCT
cana-1586	128	61	pt6	pt6	PROPN
cana-1586	128	62	=	=	PRON
cana-1586	128	63	{	{	PUNCT
cana-1586	128	64	it	it	PRON
cana-1586	128	65	,	,	PUNCT
cana-1586	128	66	h	h	NOUN
cana-1586	128	67	,	,	PUNCT
cana-1586	128	68	f	f	PROPN
cana-1586	128	69	,	,	PUNCT
cana-1586	128	70	v	v	PROPN
cana-1586	128	71	,	,	PUNCT
cana-1586	128	72	lw	lw	PROPN
cana-1586	128	73	}	}	PUNCT
cana-1586	128	74	,	,	PUNCT
cana-1586	128	75	pt7	pt7	PROPN
cana-1586	128	76	=	=	PRON
cana-1586	128	77	{	{	PUNCT
cana-1586	128	78	it	it	PRON
cana-1586	128	79	,	,	PUNCT
cana-1586	128	80	h	h	NOUN
cana-1586	128	81	,	,	PUNCT
cana-1586	128	82	bv	bv	PROPN
cana-1586	128	83	,	,	PUNCT
cana-1586	128	84	v	v	NOUN
cana-1586	128	85	}	}	PUNCT
cana-1586	128	86	,	,	PUNCT
cana-1586	128	87	pt8={it	pt8={it	PROPN
cana-1586	128	88	,	,	PUNCT
cana-1586	128	89	f	f	X
cana-1586	128	90	,	,	PUNCT
cana-1586	128	91	v	v	NOUN
cana-1586	128	92	}	}	PUNCT
cana-1586	128	93	,	,	PUNCT
cana-1586	128	94	pt9={it	pt9={it	NOUN
cana-1586	128	95	,	,	PUNCT
cana-1586	128	96	f},pt10={it	f},pt10={it	PROPN
cana-1586	128	97	,	,	PUNCT
cana-1586	128	98	h	h	NOUN
cana-1586	128	99	,	,	PUNCT
cana-1586	128	100	f	f	PROPN
cana-1586	128	101	,	,	PUNCT
cana-1586	128	102	v	v	PROPN
cana-1586	128	103	,	,	PUNCT
cana-1586	128	104	lw},pt11={h	lw},pt11={h	PROPN
cana-1586	128	105	,	,	PUNCT
cana-1586	128	106	f	f	PROPN
cana-1586	128	107	,	,	PUNCT
cana-1586	128	108	v},pt12={h	v},pt12={h	NOUN
cana-1586	128	109	,	,	PUNCT
cana-1586	128	110	bv	bv	PROPN
cana-1586	128	111	,	,	PUNCT
cana-1586	128	112	v},pt13={it	v},pt13={it	PROPN
cana-1586	128	113	,	,	PUNCT
cana-1586	128	114	f},pt14={h	f},pt14={h	NUM
cana-1586	128	115	,	,	PUNCT
cana-1586	128	116	f	f	PROPN
cana-1586	128	117	,	,	PUNCT
cana-1586	128	118	bv},pt15={it	bv},pt15={it	NOUN
cana-1586	128	119	,	,	PUNCT
cana-1586	128	120	v	v	NOUN
cana-1586	128	121	,	,	PUNCT
cana-1586	128	122	lw	lw	PROPN
cana-1586	128	123	}	}	PUNCT
cana-1586	128	124	be	be	AUX
cana-1586	128	125	the	the	DET
cana-1586	128	126	symptoms	symptom	NOUN
cana-1586	128	127	of	of	ADP
cana-1586	128	128	the	the	DET
cana-1586	128	129	patients	patient	NOUN
cana-1586	128	130	considered	consider	VERB
cana-1586	128	131	.	.	PUNCT
cana-1586	129	1	patients	patient	NOUN
cana-1586	129	2	it	it	PRON
cana-1586	130	1	h	h	VERB
cana-1586	130	2	fa	fa	NOUN
cana-1586	130	3	bv	bv	PROPN
cana-1586	130	4	v	v	PROPN
cana-1586	130	5	lw	lw	PROPN
cana-1586	131	1	pt1	pt1	PROPN
cana-1586	131	2	y	y	PROPN
cana-1586	131	3	y	y	PROPN
cana-1586	131	4	y	y	PROPN
cana-1586	131	5	y	y	PROPN
cana-1586	131	6	y	y	PROPN
cana-1586	131	7	pt2	pt2	PROPN
cana-1586	131	8	y	y	PROPN
cana-1586	131	9	y	y	PROPN
cana-1586	131	10	y	y	PROPN
cana-1586	131	11	pt3	pt3	VERB
cana-1586	131	12	y	y	PROPN
cana-1586	131	13	y	y	PROPN
cana-1586	131	14	y	y	PROPN
cana-1586	131	15	y	y	PROPN
cana-1586	131	16	communications	communication	NOUN
cana-1586	131	17	on	on	ADP
cana-1586	131	18	applied	apply	VERB
cana-1586	131	19	nonlinear	nonlinear	ADJ
cana-1586	131	20	analysis	analysis	NOUN
cana-1586	131	21	issn	issn	NOUN
cana-1586	131	22	:	:	PUNCT
cana-1586	131	23	1074	1074	NUM
cana-1586	131	24	-	-	PUNCT
cana-1586	131	25	133x	133x	NUM
cana-1586	131	26	vol	vol	NOUN
cana-1586	131	27	31	31	NUM
cana-1586	131	28	no	no	NOUN
cana-1586	131	29	.	.	PUNCT
cana-1586	132	1	8s	8s	PROPN
cana-1586	132	2	(	(	PUNCT
cana-1586	132	3	2024	2024	NUM
cana-1586	132	4	)	)	PUNCT
cana-1586	132	5	754	754	NUM
cana-1586	132	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1586	132	7	pt4	pt4	NOUN
cana-1586	132	8	y	y	PROPN
cana-1586	132	9	y	y	PROPN
cana-1586	132	10	pt5	pt5	PROPN
cana-1586	132	11	y	y	PROPN
cana-1586	132	12	y	y	PROPN
cana-1586	132	13	pt6	pt6	PROPN
cana-1586	132	14	y	y	PROPN
cana-1586	132	15	y	y	PROPN
cana-1586	132	16	y	y	PROPN
cana-1586	132	17	y	y	PROPN
cana-1586	132	18	y	y	INTJ
cana-1586	133	1	pt7	pt7	INTJ
cana-1586	133	2	y	y	PROPN
cana-1586	134	1	y	y	PROPN
cana-1586	134	2	y	y	PROPN
cana-1586	134	3	y	y	PROPN
cana-1586	134	4	pt8	pt8	PROPN
cana-1586	134	5	y	y	PROPN
cana-1586	134	6	y	y	PROPN
cana-1586	134	7	y	y	PROPN
cana-1586	134	8	pt9	pt9	PROPN
cana-1586	134	9	y	y	PROPN
cana-1586	134	10	y	y	PROPN
cana-1586	134	11	pt10	pt10	PROPN
cana-1586	134	12	y	y	PROPN
cana-1586	135	1	y	y	PROPN
cana-1586	135	2	y	y	PROPN
cana-1586	135	3	y	y	PROPN
cana-1586	135	4	y	y	PROPN
cana-1586	135	5	pt11	pt11	PROPN
cana-1586	135	6	y	y	PROPN
cana-1586	136	1	y	y	PROPN
cana-1586	136	2	y	y	PROPN
cana-1586	137	1	pt12	pt12	PROPN
cana-1586	137	2	y	y	PROPN
cana-1586	138	1	y	y	NOUN
cana-1586	138	2	y	y	PROPN
cana-1586	139	1	pt13	pt13	PROPN
cana-1586	139	2	y	y	PROPN
cana-1586	139	3	y	y	PROPN
cana-1586	139	4	pt14	pt14	PROPN
cana-1586	139	5	y	y	PROPN
cana-1586	139	6	y	y	PROPN
cana-1586	139	7	y	y	PROPN
cana-1586	139	8	pt15	pt15	PROPN
cana-1586	139	9	y	y	PROPN
cana-1586	139	10	y	y	PROPN
cana-1586	139	11	y	y	PROPN
cana-1586	139	12	assume	assume	VERB
cana-1586	139	13	af	af	X
cana-1586	139	14	~	~	PUNCT
cana-1586	139	15	=	=	SYM
cana-1586	139	16	{	{	PUNCT
cana-1586	139	17	pt1	pt1	PROPN
cana-1586	139	18	,	,	PUNCT
cana-1586	139	19	pt2,pt4	pt2,pt4	NOUN
cana-1586	139	20	,	,	PUNCT
cana-1586	139	21	pt6	pt6	NOUN
cana-1586	139	22	,	,	PUNCT
cana-1586	139	23	pt10,pt15	pt10,pt15	NOUN
cana-1586	139	24	}	}	PUNCT
cana-1586	139	25	be	be	AUX
cana-1586	139	26	the	the	DET
cana-1586	139	27	set	set	NOUN
cana-1586	139	28	of	of	ADP
cana-1586	139	29	patients	patient	NOUN
cana-1586	139	30	having	have	VERB
cana-1586	139	31	diabetes	diabetes	NOUN
cana-1586	139	32	then	then	ADV
cana-1586	139	33	u	u	NOUN
cana-1586	139	34	/	/	SYM
cana-1586	139	35	r(c	r(c	ADJ
cana-1586	139	36	)	)	PUNCT
cana-1586	139	37	=	=	PRON
cana-1586	139	38	{	{	PUNCT
cana-1586	139	39	{	{	PUNCT
cana-1586	139	40	pt1	pt1	PROPN
cana-1586	139	41	,	,	PUNCT
cana-1586	139	42	pt3	pt3	NOUN
cana-1586	139	43	,	,	PUNCT
cana-1586	139	44	pt7	pt7	NOUN
cana-1586	139	45	}	}	PUNCT
cana-1586	139	46	,	,	PUNCT
cana-1586	139	47	{	{	PUNCT
cana-1586	139	48	pt2	pt2	NOUN
cana-1586	139	49	,	,	PUNCT
cana-1586	139	50	pt15	pt15	PROPN
cana-1586	139	51	}	}	PUNCT
cana-1586	139	52	,	,	PUNCT
cana-1586	139	53	{	{	PUNCT
cana-1586	139	54	pt4	pt4	NOUN
cana-1586	139	55	,	,	PUNCT
cana-1586	139	56	pt8	pt8	PROPN
cana-1586	139	57	}	}	PUNCT
cana-1586	139	58	,	,	PUNCT
cana-1586	139	59	{	{	PUNCT
cana-1586	139	60	pt5	pt5	PROPN
cana-1586	139	61	,	,	PUNCT
cana-1586	139	62	pt9	pt9	PROPN
cana-1586	139	63	,	,	PUNCT
cana-1586	139	64	pt13	pt13	PROPN
cana-1586	139	65	}	}	PUNCT
cana-1586	139	66	,	,	PUNCT
cana-1586	139	67	{	{	PUNCT
cana-1586	139	68	pt6	pt6	PROPN
cana-1586	139	69	,	,	PUNCT
cana-1586	139	70	pt10	pt10	PROPN
cana-1586	139	71	}	}	PUNCT
cana-1586	139	72	,	,	PUNCT
cana-1586	139	73	{	{	PUNCT
cana-1586	139	74	pt11	pt11	PROPN
cana-1586	139	75	,	,	PUNCT
cana-1586	139	76	pt14	pt14	PROPN
cana-1586	139	77	}	}	PUNCT
cana-1586	139	78	,	,	PUNCT
cana-1586	139	79	{	{	PUNCT
cana-1586	139	80	pt12	pt12	PROPN
cana-1586	139	81	}	}	PUNCT
cana-1586	139	82	}	}	PUNCT
cana-1586	139	83	and	and	CCONJ
cana-1586	139	84	the	the	DET
cana-1586	139	85	required	require	VERB
cana-1586	139	86	nano	nano	NOUN
cana-1586	139	87	fuzzy	fuzzy	ADJ
cana-1586	139	88	soft	soft	ADJ
cana-1586	139	89	topology	topology	NOUN
cana-1586	139	90	is	be	AUX
cana-1586	139	91	given	give	VERB
cana-1586	139	92	by	by	ADP
cana-1586	139	93	r(c	r(c	NOUN
cana-1586	139	94	)	)	PUNCT
cana-1586	139	95	(	(	PUNCT
cana-1586	139	96	af	af	X
cana-1586	139	97	~	~	PUNCT
cana-1586	139	98	)	)	PUNCT
cana-1586	140	1	=	=	PRON
cana-1586	140	2	{	{	PUNCT
cana-1586	140	3	u	u	NOUN
cana-1586	140	4	,	,	PUNCT
cana-1586	140	5			NOUN
cana-1586	140	6	,	,	PUNCT
cana-1586	140	7	{	{	PUNCT
cana-1586	140	8	pt2	pt2	NOUN
cana-1586	140	9	,	,	PUNCT
cana-1586	140	10	pt6	pt6	PROPN
cana-1586	140	11	,	,	PUNCT
cana-1586	140	12	pt10	pt10	PROPN
cana-1586	140	13	,	,	PUNCT
cana-1586	140	14	pt15	pt15	PROPN
cana-1586	140	15	}	}	PUNCT
cana-1586	140	16	,	,	PUNCT
cana-1586	140	17	{	{	PUNCT
cana-1586	140	18	pt1,pt2	pt1,pt2	NOUN
cana-1586	140	19	,	,	PUNCT
cana-1586	140	20	pt3	pt3	NOUN
cana-1586	140	21	,	,	PUNCT
cana-1586	140	22	pt4	pt4	NOUN
cana-1586	140	23	,	,	PUNCT
cana-1586	140	24	pt6	pt6	PROPN
cana-1586	140	25	,	,	PUNCT
cana-1586	140	26	pt7	pt7	NOUN
cana-1586	140	27	,	,	PUNCT
cana-1586	140	28	pt8	pt8	PROPN
cana-1586	140	29	,	,	PUNCT
cana-1586	140	30	pt10	pt10	PROPN
cana-1586	140	31	,	,	PUNCT
cana-1586	140	32	pt15	pt15	PROPN
cana-1586	140	33	}	}	PUNCT
cana-1586	140	34	,	,	PUNCT
cana-1586	140	35	{	{	PUNCT
cana-1586	140	36	pt1	pt1	NOUN
cana-1586	140	37	,	,	PUNCT
cana-1586	140	38	pt3	pt3	NOUN
cana-1586	140	39	,	,	PUNCT
cana-1586	140	40	pt4	pt4	NOUN
cana-1586	140	41	,	,	PUNCT
cana-1586	140	42	pt7	pt7	NOUN
cana-1586	140	43	,	,	PUNCT
cana-1586	140	44	pt8	pt8	PROPN
cana-1586	140	45	}	}	PUNCT
cana-1586	140	46	}	}	PUNCT
cana-1586	140	47	.	.	PUNCT
cana-1586	141	1	case	case	NOUN
cana-1586	141	2	1	1	NUM
cana-1586	141	3	:	:	PUNCT
cana-1586	141	4	while	while	SCONJ
cana-1586	141	5	the	the	DET
cana-1586	141	6	attribute	attribute	NOUN
cana-1586	141	7	"	"	PUNCT
cana-1586	141	8	increased	increased	ADJ
cana-1586	141	9	thirst	thirst	NOUN
cana-1586	141	10	"	"	PUNCT
cana-1586	141	11	is	be	AUX
cana-1586	141	12	extracted	extract	VERB
cana-1586	141	13	from	from	ADP
cana-1586	141	14	condition	condition	NOUN
cana-1586	141	15	attribute	attribute	NOUN
cana-1586	141	16	then	then	ADV
cana-1586	141	17	u	u	NOUN
cana-1586	141	18	/	/	SYM
cana-1586	141	19	r(c	r(c	ADV
cana-1586	141	20	-	-	PUNCT
cana-1586	141	21	it	it	PRON
cana-1586	141	22	)	)	PUNCT
cana-1586	142	1	=	=	SYM
cana-1586	142	2	{	{	PUNCT
cana-1586	142	3	{	{	PUNCT
cana-1586	142	4	pt1	pt1	PROPN
cana-1586	142	5	,	,	PUNCT
cana-1586	142	6	pt3	pt3	NOUN
cana-1586	142	7	,	,	PUNCT
cana-1586	142	8	pt7	pt7	NOUN
cana-1586	142	9	,	,	PUNCT
cana-1586	142	10	pt12},{pt2	pt12},{pt2	NOUN
cana-1586	142	11	,	,	PUNCT
cana-1586	142	12	pt15	pt15	PROPN
cana-1586	142	13	}	}	PUNCT
cana-1586	142	14	{	{	PUNCT
cana-1586	142	15	pt4	pt4	PROPN
cana-1586	142	16	,	,	PUNCT
cana-1586	142	17	pt5	pt5	PROPN
cana-1586	142	18	,	,	PUNCT
cana-1586	142	19	pt9	pt9	PROPN
cana-1586	142	20	,	,	PUNCT
cana-1586	142	21	pt13	pt13	PROPN
cana-1586	142	22	}	}	PUNCT
cana-1586	142	23	{	{	PUNCT
cana-1586	142	24	pt8	pt8	NOUN
cana-1586	142	25	}	}	PUNCT
cana-1586	142	26	,	,	PUNCT
cana-1586	142	27	{	{	PUNCT
cana-1586	142	28	pt6	pt6	PROPN
cana-1586	142	29	,	,	PUNCT
cana-1586	142	30	pt10	pt10	PROPN
cana-1586	142	31	}	}	PUNCT
cana-1586	142	32	,	,	PUNCT
cana-1586	142	33	{	{	PUNCT
cana-1586	142	34	pt11	pt11	PROPN
cana-1586	142	35	,	,	PUNCT
cana-1586	142	36	pt14	pt14	PROPN
cana-1586	142	37	}	}	PUNCT
cana-1586	142	38	}	}	PUNCT
cana-1586	142	39	,	,	PUNCT
cana-1586	142	40	the	the	DET
cana-1586	142	41	lower	low	ADJ
cana-1586	142	42	approximation	approximation	NOUN
cana-1586	142	43	area	area	NOUN
cana-1586	142	44	(	(	PUNCT
cana-1586	142	45	decreased	decrease	VERB
cana-1586	142	46	)	)	PUNCT
cana-1586	142	47	,	,	PUNCT
cana-1586	142	48	upper	upper	ADJ
cana-1586	142	49	approximation	approximation	NOUN
cana-1586	142	50	area	area	NOUN
cana-1586	142	51	(	(	PUNCT
cana-1586	142	52	increased	increase	VERB
cana-1586	142	53	)	)	PUNCT
cana-1586	142	54	and	and	CCONJ
cana-1586	142	55	boundary	boundary	ADJ
cana-1586	142	56	sector	sector	NOUN
cana-1586	142	57	are	be	AUX
cana-1586	142	58	denoted	denote	VERB
cana-1586	142	59	by	by	ADP
cana-1586	142	60	l(c	l(c	PROPN
cana-1586	142	61	-	-	PUNCT
cana-1586	142	62	it	it	PRON
cana-1586	142	63	)	)	PUNCT
cana-1586	142	64	(	(	PUNCT
cana-1586	142	65	af	af	X
cana-1586	142	66	~	~	PUNCT
cana-1586	142	67	)	)	PUNCT
cana-1586	143	1	=	=	PRON
cana-1586	143	2	{	{	PUNCT
cana-1586	143	3	pt2	pt2	PROPN
cana-1586	143	4	,	,	PUNCT
cana-1586	143	5	pt6	pt6	PROPN
cana-1586	143	6	,	,	PUNCT
cana-1586	143	7	pt10	pt10	PROPN
cana-1586	143	8	,	,	PUNCT
cana-1586	143	9	pt15	pt15	PROPN
cana-1586	143	10	}	}	PUNCT
cana-1586	143	11	,	,	PUNCT
cana-1586	143	12	u(c	u(c	PROPN
cana-1586	143	13	-	-	PUNCT
cana-1586	143	14	it	it	PRON
cana-1586	143	15	)	)	PUNCT
cana-1586	143	16	(	(	PUNCT
cana-1586	143	17	af	af	X
cana-1586	143	18	~	~	PUNCT
cana-1586	143	19	)	)	PUNCT
cana-1586	143	20	=	=	PRON
cana-1586	143	21	{	{	PUNCT
cana-1586	143	22	pt1,pt2	pt1,pt2	NOUN
cana-1586	143	23	,	,	PUNCT
cana-1586	143	24	pt3	pt3	NOUN
cana-1586	143	25	,	,	PUNCT
cana-1586	143	26	pt4	pt4	NOUN
cana-1586	143	27	,	,	PUNCT
cana-1586	143	28	pt5	pt5	PROPN
cana-1586	143	29	,	,	PUNCT
cana-1586	143	30	pt6	pt6	PROPN
cana-1586	143	31	,	,	PUNCT
cana-1586	143	32	pt7,pt9	pt7,pt9	PROPN
cana-1586	143	33	,	,	PUNCT
cana-1586	143	34	pt10	pt10	PROPN
cana-1586	143	35	,	,	PUNCT
cana-1586	143	36	pt12	pt12	PROPN
cana-1586	143	37	,	,	PUNCT
cana-1586	143	38	pt13	pt13	PROPN
cana-1586	143	39	,	,	PUNCT
cana-1586	143	40	pt15	pt15	PROPN
cana-1586	143	41	}	}	PUNCT
cana-1586	143	42	,	,	PUNCT
cana-1586	143	43	b(c	b(c	NOUN
cana-1586	143	44	-	-	PUNCT
cana-1586	143	45	it	it	PRON
cana-1586	143	46	)	)	PUNCT
cana-1586	143	47	(	(	PUNCT
cana-1586	143	48	af	af	X
cana-1586	143	49	~	~	PUNCT
cana-1586	143	50	)	)	PUNCT
cana-1586	143	51	=	=	PRON
cana-1586	143	52	{	{	PUNCT
cana-1586	143	53	pt1	pt1	PROPN
cana-1586	143	54	,	,	PUNCT
cana-1586	143	55	pt3	pt3	NOUN
cana-1586	143	56	,	,	PUNCT
cana-1586	143	57	pt4	pt4	NOUN
cana-1586	143	58	,	,	PUNCT
cana-1586	143	59	pt5	pt5	PROPN
cana-1586	143	60	,	,	PUNCT
cana-1586	143	61	pt7	pt7	PROPN
cana-1586	143	62	,	,	PUNCT
cana-1586	143	63	pt9	pt9	PROPN
cana-1586	143	64	,	,	PUNCT
cana-1586	143	65	pt12	pt12	PROPN
cana-1586	143	66	,	,	PUNCT
cana-1586	143	67	pt13	pt13	PROPN
cana-1586	143	68	}	}	PUNCT
cana-1586	143	69	.	.	PUNCT
cana-1586	144	1	therefore	therefore	ADV
cana-1586	144	2	the	the	DET
cana-1586	144	3	required	required	ADJ
cana-1586	144	4	nano	nano	NOUN
cana-1586	144	5	fuzzy	fuzzy	ADJ
cana-1586	144	6	soft	soft	ADJ
cana-1586	144	7	topology	topology	NOUN
cana-1586	144	8	is	be	AUX
cana-1586	144	9	given	give	VERB
cana-1586	144	10	by	by	ADP
cana-1586	144	11	r(c−it	r(c−it	NOUN
cana-1586	144	12	)	)	PUNCT
cana-1586	144	13	(	(	PUNCT
cana-1586	144	14	af	af	X
cana-1586	144	15	~	~	PUNCT
cana-1586	144	16	)	)	PUNCT
cana-1586	144	17	=	=	PRON
cana-1586	144	18	{	{	PUNCT
cana-1586	144	19	u	u	NOUN
cana-1586	144	20	,	,	PUNCT
cana-1586	144	21			NOUN
cana-1586	144	22	,	,	PUNCT
cana-1586	144	23	{	{	PUNCT
cana-1586	144	24	pt2	pt2	NOUN
cana-1586	144	25	,	,	PUNCT
cana-1586	144	26	pt6	pt6	PROPN
cana-1586	144	27	,	,	PUNCT
cana-1586	144	28	pt10	pt10	PROPN
cana-1586	144	29	,	,	PUNCT
cana-1586	144	30	pt15	pt15	PROPN
cana-1586	144	31	}	}	PUNCT
cana-1586	144	32	,	,	PUNCT
cana-1586	144	33	{	{	PUNCT
cana-1586	144	34	pt1,pt2	pt1,pt2	NOUN
cana-1586	144	35	,	,	PUNCT
cana-1586	144	36	pt3	pt3	NOUN
cana-1586	144	37	,	,	PUNCT
cana-1586	144	38	pt4	pt4	NOUN
cana-1586	144	39	,	,	PUNCT
cana-1586	144	40	pt5	pt5	PROPN
cana-1586	144	41	,	,	PUNCT
cana-1586	144	42	pt6	pt6	PROPN
cana-1586	144	43	,	,	PUNCT
cana-1586	144	44	pt7,pt9	pt7,pt9	PROPN
cana-1586	144	45	,	,	PUNCT
cana-1586	144	46	pt10	pt10	PROPN
cana-1586	144	47	,	,	PUNCT
cana-1586	144	48	pt12	pt12	PROPN
cana-1586	144	49	,	,	PUNCT
cana-1586	144	50	pt13	pt13	PROPN
cana-1586	144	51	,	,	PUNCT
cana-1586	144	52	pt15},{pt1	pt15},{pt1	PROPN
cana-1586	144	53	,	,	PUNCT
cana-1586	144	54	pt3	pt3	NOUN
cana-1586	144	55	,	,	PUNCT
cana-1586	144	56	pt4	pt4	NOUN
cana-1586	144	57	,	,	PUNCT
cana-1586	144	58	pt5	pt5	PROPN
cana-1586	144	59	,	,	PUNCT
cana-1586	144	60	pt7	pt7	PROPN
cana-1586	144	61	,	,	PUNCT
cana-1586	144	62	pt9	pt9	PROPN
cana-1586	144	63	,	,	PUNCT
cana-1586	144	64	pt12	pt12	PROPN
cana-1586	144	65	,	,	PUNCT
cana-1586	144	66	pt13	pt13	PROPN
cana-1586	144	67	}	}	PUNCT
cana-1586	144	68	}	}	PUNCT
cana-1586	144	69	.	.	PUNCT
cana-1586	145	1	hence	hence	ADV
cana-1586	145	2	r(c−it	r(c−it	NOUN
cana-1586	145	3	)	)	PUNCT
cana-1586	146	1	(	(	PUNCT
cana-1586	146	2	af	af	X
cana-1586	146	3	~	~	PUNCT
cana-1586	146	4	)	)	PUNCT
cana-1586	146	5	≠r(c	≠r(c	PROPN
cana-1586	146	6	(	(	PUNCT
cana-1586	146	7	af	af	PROPN
cana-1586	146	8	~	~	PUNCT
cana-1586	146	9	)	)	PUNCT
cana-1586	146	10	.	.	PUNCT
cana-1586	147	1	case	case	NOUN
cana-1586	147	2	2	2	NUM
cana-1586	147	3	:	:	PUNCT
cana-1586	147	4	while	while	SCONJ
cana-1586	147	5	the	the	DET
cana-1586	147	6	condition	condition	NOUN
cana-1586	147	7	attribute	attribute	NOUN
cana-1586	147	8	"	"	PUNCT
cana-1586	147	9	hunger	hunger	NOUN
cana-1586	147	10	"	"	PUNCT
cana-1586	147	11	is	be	AUX
cana-1586	147	12	extracted	extract	VERB
cana-1586	147	13	from	from	ADP
cana-1586	147	14	c	c	PROPN
cana-1586	147	15	then	then	ADV
cana-1586	147	16	u	u	NOUN
cana-1586	147	17	/	/	SYM
cana-1586	147	18	r(c	r(c	VERB
cana-1586	147	19	-	-	PUNCT
cana-1586	147	20	h	h	NOUN
cana-1586	147	21	)	)	PUNCT
cana-1586	147	22	=	=	NOUN
cana-1586	147	23	{	{	PUNCT
cana-1586	147	24	{	{	PUNCT
cana-1586	147	25	p1	p1	PROPN
cana-1586	147	26	,	,	PUNCT
cana-1586	147	27	p3	p3	PROPN
cana-1586	147	28	,	,	PUNCT
cana-1586	147	29	p7	p7	PROPN
cana-1586	147	30	}	}	PUNCT
cana-1586	147	31	,	,	PUNCT
cana-1586	147	32	{	{	PUNCT
cana-1586	147	33	p2	p2	NOUN
cana-1586	147	34	,	,	PUNCT
cana-1586	147	35	p15	p15	NOUN
cana-1586	147	36	}	}	PUNCT
cana-1586	147	37	,	,	PUNCT
cana-1586	147	38	{	{	PUNCT
cana-1586	147	39	p4	p4	ADJ
cana-1586	147	40	,	,	PUNCT
cana-1586	147	41	p8	p8	PROPN
cana-1586	147	42	}	}	PUNCT
cana-1586	147	43	,	,	PUNCT
cana-1586	147	44	{	{	PUNCT
cana-1586	147	45	p5	p5	PROPN
cana-1586	147	46	,	,	PUNCT
cana-1586	147	47	p9	p9	PROPN
cana-1586	147	48	,	,	PUNCT
cana-1586	147	49	p13	p13	NOUN
cana-1586	147	50	}	}	PUNCT
cana-1586	147	51	,	,	PUNCT
cana-1586	147	52	{	{	PUNCT
cana-1586	147	53	p6	p6	PROPN
cana-1586	147	54	,	,	PUNCT
cana-1586	147	55	p10	p10	NOUN
cana-1586	147	56	}	}	PUNCT
cana-1586	147	57	,	,	PUNCT
cana-1586	147	58	{	{	PUNCT
cana-1586	147	59	p11	p11	NOUN
cana-1586	147	60	,	,	PUNCT
cana-1586	147	61	p14	p14	PROPN
cana-1586	147	62	}	}	PUNCT
cana-1586	147	63	,	,	PUNCT
cana-1586	147	64	{	{	PUNCT
cana-1586	147	65	p12	p12	NOUN
cana-1586	147	66	}	}	PUNCT
cana-1586	147	67	}	}	PUNCT
cana-1586	147	68	,	,	PUNCT
cana-1586	147	69	here	here	ADV
cana-1586	147	70	the	the	DET
cana-1586	147	71	lower	low	ADJ
cana-1586	147	72	(	(	PUNCT
cana-1586	147	73	decreased	decreased	ADJ
cana-1586	147	74	)	)	PUNCT
cana-1586	147	75	approximation	approximation	NOUN
cana-1586	147	76	area	area	NOUN
cana-1586	147	77	,	,	PUNCT
cana-1586	147	78	upper	upper	ADJ
cana-1586	147	79	(	(	PUNCT
cana-1586	147	80	increased	increased	ADJ
cana-1586	147	81	)	)	PUNCT
cana-1586	147	82	approximation	approximation	NOUN
cana-1586	147	83	area	area	NOUN
cana-1586	147	84	and	and	CCONJ
cana-1586	147	85	boundary	boundary	ADJ
cana-1586	147	86	region	region	NOUN
cana-1586	147	87	are	be	AUX
cana-1586	147	88	given	give	VERB
cana-1586	147	89	by	by	ADP
cana-1586	147	90	l(c	l(c	NOUN
cana-1586	147	91	-	-	PUNCT
cana-1586	147	92	h	h	NOUN
cana-1586	147	93	)	)	PUNCT
cana-1586	147	94	(	(	PUNCT
cana-1586	147	95	af	af	X
cana-1586	147	96	~	~	PUNCT
cana-1586	147	97	)	)	PUNCT
cana-1586	148	1	=	=	PRON
cana-1586	148	2	{	{	PUNCT
cana-1586	148	3	pt2	pt2	PROPN
cana-1586	148	4	,	,	PUNCT
cana-1586	148	5	pt6	pt6	PROPN
cana-1586	148	6	,	,	PUNCT
cana-1586	148	7	pt10	pt10	PROPN
cana-1586	148	8	,	,	PUNCT
cana-1586	148	9	pt15	pt15	PROPN
cana-1586	148	10	}	}	PUNCT
cana-1586	148	11	,	,	PUNCT
cana-1586	148	12	u(c	u(c	PROPN
cana-1586	148	13	-	-	PUNCT
cana-1586	148	14	h	h	NOUN
cana-1586	148	15	)	)	PUNCT
cana-1586	148	16	(	(	PUNCT
cana-1586	148	17	af	af	X
cana-1586	148	18	~	~	PUNCT
cana-1586	148	19	)	)	PUNCT
cana-1586	148	20	=	=	PRON
cana-1586	148	21	{	{	PUNCT
cana-1586	148	22	pt1,pt2	pt1,pt2	NOUN
cana-1586	148	23	,	,	PUNCT
cana-1586	148	24	pt3	pt3	NOUN
cana-1586	148	25	,	,	PUNCT
cana-1586	148	26	pt4	pt4	NOUN
cana-1586	148	27	,	,	PUNCT
cana-1586	148	28	pt6	pt6	PROPN
cana-1586	148	29	,	,	PUNCT
cana-1586	148	30	pt7	pt7	NOUN
cana-1586	148	31	,	,	PUNCT
cana-1586	148	32	pt8	pt8	PROPN
cana-1586	148	33	,	,	PUNCT
cana-1586	148	34	pt10	pt10	PROPN
cana-1586	148	35	,	,	PUNCT
cana-1586	148	36	pt15	pt15	PROPN
cana-1586	148	37	}	}	PUNCT
cana-1586	148	38	,	,	PUNCT
cana-1586	148	39	b(c	b(c	NOUN
cana-1586	148	40	-	-	PUNCT
cana-1586	148	41	h	h	NOUN
cana-1586	148	42	)	)	PUNCT
cana-1586	148	43	(	(	PUNCT
cana-1586	148	44	af	af	X
cana-1586	148	45	~	~	PUNCT
cana-1586	148	46	)	)	PUNCT
cana-1586	149	1	=	=	PRON
cana-1586	149	2	{	{	PUNCT
cana-1586	149	3	pt1	pt1	PROPN
cana-1586	149	4	,	,	PUNCT
cana-1586	149	5	pt3	pt3	NOUN
cana-1586	149	6	,	,	PUNCT
cana-1586	149	7	pt4	pt4	NOUN
cana-1586	149	8	,	,	PUNCT
cana-1586	149	9	pt7	pt7	NOUN
cana-1586	149	10	,	,	PUNCT
cana-1586	149	11	pt8	pt8	PROPN
cana-1586	149	12	}	}	PUNCT
cana-1586	149	13	.	.	PUNCT
cana-1586	150	1	therefore	therefore	ADV
cana-1586	150	2	the	the	DET
cana-1586	150	3	required	required	ADJ
cana-1586	150	4	nano	nano	NOUN
cana-1586	150	5	fuzzy	fuzzy	ADJ
cana-1586	150	6	soft	soft	ADJ
cana-1586	150	7	topology	topology	NOUN
cana-1586	150	8	is	be	AUX
cana-1586	150	9	given	give	VERB
cana-1586	150	10	by	by	ADP
cana-1586	150	11	r(c−h	r(c−h	PUNCT
cana-1586	150	12	)	)	PUNCT
cana-1586	150	13	(	(	PUNCT
cana-1586	150	14	af	af	X
cana-1586	150	15	~	~	PUNCT
cana-1586	150	16	)	)	PUNCT
cana-1586	150	17	=	=	PRON
cana-1586	150	18	{	{	PUNCT
cana-1586	150	19	u	u	NOUN
cana-1586	150	20	,	,	PUNCT
cana-1586	150	21			NOUN
cana-1586	150	22	,	,	PUNCT
cana-1586	150	23	{	{	PUNCT
cana-1586	150	24	pt2	pt2	NOUN
cana-1586	150	25	,	,	PUNCT
cana-1586	150	26	pt6	pt6	PROPN
cana-1586	150	27	,	,	PUNCT
cana-1586	150	28	pt10	pt10	PROPN
cana-1586	150	29	,	,	PUNCT
cana-1586	150	30	pt15	pt15	PROPN
cana-1586	150	31	}	}	PUNCT
cana-1586	150	32	,	,	PUNCT
cana-1586	150	33	{	{	PUNCT
cana-1586	150	34	pt1,pt2	pt1,pt2	NOUN
cana-1586	150	35	,	,	PUNCT
cana-1586	150	36	pt3	pt3	NOUN
cana-1586	150	37	,	,	PUNCT
cana-1586	150	38	tp4	tp4	NOUN
cana-1586	150	39	,	,	PUNCT
cana-1586	150	40	pt6	pt6	PROPN
cana-1586	150	41	,	,	PUNCT
cana-1586	150	42	pt7	pt7	NOUN
cana-1586	150	43	,	,	PUNCT
cana-1586	150	44	pt8	pt8	PROPN
cana-1586	150	45	,	,	PUNCT
cana-1586	150	46	pt10	pt10	PROPN
cana-1586	150	47	,	,	PUNCT
cana-1586	150	48	pt15	pt15	PROPN
cana-1586	150	49	}	}	PUNCT
cana-1586	150	50	,	,	PUNCT
cana-1586	150	51	{	{	PUNCT
cana-1586	150	52	pt1	pt1	NOUN
cana-1586	150	53	,	,	PUNCT
cana-1586	150	54	pt3	pt3	NOUN
cana-1586	150	55	,	,	PUNCT
cana-1586	150	56	pt4	pt4	NOUN
cana-1586	150	57	,	,	PUNCT
cana-1586	150	58	pt7	pt7	NOUN
cana-1586	150	59	,	,	PUNCT
cana-1586	150	60	pt8	pt8	PROPN
cana-1586	150	61	}	}	PUNCT
cana-1586	150	62	}	}	PUNCT
cana-1586	150	63	.	.	PUNCT
cana-1586	151	1	hence	hence	ADV
cana-1586	151	2	r(c−h	r(c−h	CCONJ
cana-1586	151	3	)	)	PUNCT
cana-1586	151	4	(	(	PUNCT
cana-1586	151	5	af	af	X
cana-1586	151	6	~	~	PUNCT
cana-1586	151	7	)	)	PUNCT
cana-1586	151	8	=	=	SYM
cana-1586	151	9	r(c	r(c	PROPN
cana-1586	151	10	)	)	PUNCT
cana-1586	151	11	(	(	PUNCT
cana-1586	151	12	af	af	X
cana-1586	151	13	~	~	PUNCT
cana-1586	151	14	)	)	PUNCT
cana-1586	151	15	case	case	NOUN
cana-1586	151	16	3	3	NUM
cana-1586	151	17	:	:	PUNCT
cana-1586	151	18	while	while	SCONJ
cana-1586	151	19	the	the	DET
cana-1586	151	20	characteristic	characteristic	ADJ
cana-1586	151	21	"	"	PUNCT
cana-1586	151	22	fatigue	fatigue	NOUN
cana-1586	151	23	"	"	PUNCT
cana-1586	151	24	is	be	AUX
cana-1586	151	25	extracted	extract	VERB
cana-1586	151	26	from	from	ADP
cana-1586	151	27	from	from	ADP
cana-1586	151	28	c	c	PROPN
cana-1586	151	29	,	,	PUNCT
cana-1586	151	30	then	then	ADV
cana-1586	151	31	u	u	NOUN
cana-1586	151	32	/	/	SYM
cana-1586	151	33	r(c	r(c	PROPN
cana-1586	151	34	-	-	PUNCT
cana-1586	151	35	f	f	NOUN
cana-1586	151	36	)	)	PUNCT
cana-1586	151	37	=	=	NOUN
cana-1586	151	38	{	{	PUNCT
cana-1586	151	39	{	{	PUNCT
cana-1586	151	40	pt1	pt1	PROPN
cana-1586	151	41	,	,	PUNCT
cana-1586	151	42	pt3	pt3	NOUN
cana-1586	151	43	,	,	PUNCT
cana-1586	151	44	pt7	pt7	NOUN
cana-1586	151	45	}	}	PUNCT
cana-1586	151	46	,	,	PUNCT
cana-1586	151	47	{	{	PUNCT
cana-1586	151	48	pt2	pt2	NOUN
cana-1586	151	49	,	,	PUNCT
cana-1586	151	50	pt15	pt15	PROPN
cana-1586	151	51	}	}	PUNCT
cana-1586	151	52	,	,	PUNCT
cana-1586	151	53	{	{	PUNCT
cana-1586	151	54	pt4	pt4	NOUN
cana-1586	151	55	,	,	PUNCT
cana-1586	151	56	pt8	pt8	PROPN
cana-1586	151	57	}	}	PUNCT
cana-1586	151	58	,	,	PUNCT
cana-1586	151	59	{	{	PUNCT
cana-1586	151	60	pt5	pt5	PROPN
cana-1586	151	61	,	,	PUNCT
cana-1586	151	62	pt9	pt9	PROPN
cana-1586	151	63	,	,	PUNCT
cana-1586	151	64	pt13	pt13	PROPN
cana-1586	151	65	}	}	PUNCT
cana-1586	151	66	,	,	PUNCT
cana-1586	151	67	{	{	PUNCT
cana-1586	151	68	pt6	pt6	PROPN
cana-1586	151	69	,	,	PUNCT
cana-1586	151	70	pt10	pt10	PROPN
cana-1586	151	71	}	}	PUNCT
cana-1586	151	72	,	,	PUNCT
cana-1586	151	73	{	{	PUNCT
cana-1586	151	74	pt11	pt11	PROPN
cana-1586	151	75	,	,	PUNCT
cana-1586	151	76	pt14	pt14	PROPN
cana-1586	151	77	}	}	PUNCT
cana-1586	151	78	,	,	PUNCT
cana-1586	151	79	{	{	PUNCT
cana-1586	151	80	pt12	pt12	PROPN
cana-1586	151	81	}	}	PUNCT
cana-1586	151	82	}	}	PUNCT
cana-1586	151	83	,	,	PUNCT
cana-1586	151	84	here	here	ADV
cana-1586	151	85	the	the	DET
cana-1586	151	86	lower	low	ADJ
cana-1586	151	87	approximation	approximation	NOUN
cana-1586	151	88	area	area	NOUN
cana-1586	151	89	(	(	PUNCT
cana-1586	151	90	increased	increase	VERB
cana-1586	151	91	)	)	PUNCT
cana-1586	151	92	,	,	PUNCT
cana-1586	151	93	upper	upper	ADJ
cana-1586	151	94	approximation	approximation	NOUN
cana-1586	151	95	area	area	NOUN
cana-1586	151	96	(	(	PUNCT
cana-1586	151	97	decreased	decrease	VERB
cana-1586	151	98	)	)	PUNCT
cana-1586	151	99	and	and	CCONJ
cana-1586	151	100	boundary	boundary	ADJ
cana-1586	151	101	sector	sector	NOUN
cana-1586	151	102	are	be	AUX
cana-1586	151	103	denoted	denote	VERB
cana-1586	151	104	by	by	ADP
cana-1586	151	105	l(c	l(c	PROPN
cana-1586	151	106	-	-	PUNCT
cana-1586	151	107	fa	fa	NOUN
cana-1586	151	108	)	)	PUNCT
cana-1586	151	109	(	(	PUNCT
cana-1586	151	110	af	af	X
cana-1586	151	111	~	~	PUNCT
cana-1586	151	112	)	)	PUNCT
cana-1586	152	1	=	=	SYM
cana-1586	152	2	{	{	PUNCT
cana-1586	152	3	p2	p2	PROPN
cana-1586	152	4	,	,	PUNCT
cana-1586	152	5	p6	p6	PROPN
cana-1586	152	6	,	,	PUNCT
cana-1586	152	7	p10	p10	NOUN
cana-1586	152	8	,	,	PUNCT
cana-1586	152	9	p15	p15	NOUN
cana-1586	152	10	}	}	PUNCT
cana-1586	152	11	,	,	PUNCT
cana-1586	152	12	u(c	u(c	PROPN
cana-1586	152	13	-	-	PUNCT
cana-1586	152	14	fa	fa	NOUN
cana-1586	152	15	)	)	PUNCT
cana-1586	152	16	(	(	PUNCT
cana-1586	152	17	af	af	X
cana-1586	152	18	~	~	PUNCT
cana-1586	152	19	)	)	PUNCT
cana-1586	152	20	=	=	SYM
cana-1586	152	21	{	{	PUNCT
cana-1586	152	22	p1,p2	p1,p2	PROPN
cana-1586	152	23	,	,	PUNCT
cana-1586	152	24	p3	p3	PROPN
cana-1586	152	25	,	,	PUNCT
cana-1586	152	26	p4	p4	ADJ
cana-1586	152	27	,	,	PUNCT
cana-1586	152	28	p6	p6	PROPN
cana-1586	152	29	,	,	PUNCT
cana-1586	152	30	p7	p7	PROPN
cana-1586	152	31	,	,	PUNCT
cana-1586	152	32	p8	p8	PROPN
cana-1586	152	33	,	,	PUNCT
cana-1586	152	34	p10	p10	NOUN
cana-1586	152	35	,	,	PUNCT
cana-1586	152	36	p15	p15	NOUN
cana-1586	152	37	}	}	PUNCT
cana-1586	152	38	,	,	PUNCT
cana-1586	152	39	b(c	b(c	NOUN
cana-1586	152	40	-	-	PUNCT
cana-1586	152	41	fa	fa	NOUN
cana-1586	152	42	)	)	PUNCT
cana-1586	152	43	(	(	PUNCT
cana-1586	152	44	af	af	X
cana-1586	152	45	~	~	PUNCT
cana-1586	152	46	)	)	PUNCT
cana-1586	152	47	=	=	SYM
cana-1586	152	48	{	{	PUNCT
cana-1586	152	49	p1	p1	PROPN
cana-1586	152	50	,	,	PUNCT
cana-1586	152	51	p3	p3	PROPN
cana-1586	152	52	,	,	PUNCT
cana-1586	152	53	p4	p4	ADJ
cana-1586	152	54	,	,	PUNCT
cana-1586	152	55	p7	p7	NOUN
cana-1586	152	56	,	,	PUNCT
cana-1586	152	57	p8	p8	PROPN
cana-1586	152	58	}	}	PUNCT
cana-1586	152	59	.	.	PUNCT
cana-1586	153	1	therefore	therefore	ADV
cana-1586	153	2	the	the	DET
cana-1586	153	3	nano	nano	ADJ
cana-1586	153	4	fuzzy	fuzzy	ADJ
cana-1586	153	5	soft	soft	ADJ
cana-1586	153	6	topology	topology	NOUN
cana-1586	153	7	is	be	AUX
cana-1586	153	8	given	give	VERB
cana-1586	153	9	by	by	ADP
cana-1586	153	10	r(c−fa	r(c−fa	NOUN
cana-1586	153	11	)	)	PUNCT
cana-1586	153	12	(	(	PUNCT
cana-1586	153	13	af	af	X
cana-1586	153	14	~	~	PUNCT
cana-1586	153	15	)	)	PUNCT
cana-1586	153	16	=	=	PRON
cana-1586	153	17	{	{	PUNCT
cana-1586	153	18	u	u	NOUN
cana-1586	153	19	,	,	PUNCT
cana-1586	153	20			NOUN
cana-1586	153	21	,	,	PUNCT
cana-1586	153	22	{	{	PUNCT
cana-1586	153	23	pt2	pt2	NOUN
cana-1586	153	24	,	,	PUNCT
cana-1586	153	25	pt6	pt6	PROPN
cana-1586	153	26	,	,	PUNCT
cana-1586	153	27	pt10	pt10	PROPN
cana-1586	153	28	,	,	PUNCT
cana-1586	153	29	pt15	pt15	PROPN
cana-1586	153	30	}	}	PUNCT
cana-1586	153	31	,	,	PUNCT
cana-1586	153	32	{	{	PUNCT
cana-1586	153	33	pt1,pt2	pt1,pt2	NOUN
cana-1586	153	34	,	,	PUNCT
cana-1586	153	35	pt3	pt3	NOUN
cana-1586	153	36	,	,	PUNCT
cana-1586	153	37	pt4	pt4	NOUN
cana-1586	153	38	,	,	PUNCT
cana-1586	153	39	pt6	pt6	PROPN
cana-1586	153	40	,	,	PUNCT
cana-1586	153	41	pt7	pt7	NOUN
cana-1586	153	42	,	,	PUNCT
cana-1586	153	43	pt8	pt8	PROPN
cana-1586	153	44	,	,	PUNCT
cana-1586	153	45	pt10	pt10	PROPN
cana-1586	153	46	,	,	PUNCT
cana-1586	153	47	pt15	pt15	PROPN
cana-1586	153	48	}	}	PUNCT
cana-1586	153	49	,	,	PUNCT
cana-1586	153	50	{	{	PUNCT
cana-1586	153	51	pt1	pt1	NOUN
cana-1586	153	52	,	,	PUNCT
cana-1586	153	53	pt3	pt3	NOUN
cana-1586	153	54	,	,	PUNCT
cana-1586	153	55	pt4	pt4	NOUN
cana-1586	153	56	,	,	PUNCT
cana-1586	153	57	pt7	pt7	NOUN
cana-1586	153	58	,	,	PUNCT
cana-1586	153	59	pt8	pt8	PROPN
cana-1586	153	60	}	}	PUNCT
cana-1586	153	61	}	}	PUNCT
cana-1586	153	62	.	.	PUNCT
cana-1586	154	1	hence	hence	ADV
cana-1586	154	2	r(c−fa	r(c−fa	ADP
cana-1586	154	3	)	)	PUNCT
cana-1586	154	4	(	(	PUNCT
cana-1586	154	5	af	af	X
cana-1586	154	6	~	~	PUNCT
cana-1586	154	7	)	)	PUNCT
cana-1586	154	8	=	=	SYM
cana-1586	154	9	r(c	r(c	PROPN
cana-1586	154	10	)	)	PUNCT
cana-1586	154	11	(	(	PUNCT
cana-1586	154	12	af	af	X
cana-1586	154	13	~	~	PUNCT
cana-1586	154	14	)	)	PUNCT
cana-1586	154	15	communications	communication	NOUN
cana-1586	154	16	on	on	ADP
cana-1586	154	17	applied	apply	VERB
cana-1586	154	18	nonlinear	nonlinear	ADJ
cana-1586	154	19	analysis	analysis	NOUN
cana-1586	154	20	issn	issn	NOUN
cana-1586	154	21	:	:	PUNCT
cana-1586	154	22	1074	1074	NUM
cana-1586	154	23	-	-	PUNCT
cana-1586	154	24	133x	133x	NUM
cana-1586	154	25	vol	vol	NOUN
cana-1586	154	26	31	31	NUM
cana-1586	154	27	no	no	NOUN
cana-1586	154	28	.	.	PUNCT
cana-1586	155	1	8s	8s	PROPN
cana-1586	155	2	(	(	PUNCT
cana-1586	155	3	2024	2024	NUM
cana-1586	155	4	)	)	PUNCT
cana-1586	155	5	755	755	NUM
cana-1586	155	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1586	155	7	case	case	NOUN
cana-1586	155	8	4	4	NUM
cana-1586	155	9	:	:	PUNCT
cana-1586	155	10	while	while	SCONJ
cana-1586	155	11	the	the	DET
cana-1586	155	12	attribute	attribute	NOUN
cana-1586	155	13	"	"	PUNCT
cana-1586	155	14	blurred	blurred	ADJ
cana-1586	155	15	vision	vision	NOUN
cana-1586	155	16	"	"	PUNCT
cana-1586	155	17	is	be	AUX
cana-1586	155	18	extracted	extract	VERB
cana-1586	155	19	from	from	ADP
cana-1586	155	20	c	c	PROPN
cana-1586	155	21	then	then	ADV
cana-1586	155	22	u	u	NOUN
cana-1586	155	23	/	/	SYM
cana-1586	155	24	r(cbv	r(cbv	VERB
cana-1586	155	25	)	)	PUNCT
cana-1586	155	26	=	=	NOUN
cana-1586	155	27	{	{	PUNCT
cana-1586	155	28	{	{	PUNCT
cana-1586	155	29	pt1	pt1	PROPN
cana-1586	155	30	,	,	PUNCT
cana-1586	155	31	pt3	pt3	NOUN
cana-1586	155	32	,	,	PUNCT
cana-1586	155	33	pt7	pt7	NOUN
cana-1586	155	34	}	}	PUNCT
cana-1586	155	35	,	,	PUNCT
cana-1586	155	36	{	{	PUNCT
cana-1586	155	37	pt2	pt2	NOUN
cana-1586	155	38	,	,	PUNCT
cana-1586	155	39	pt15	pt15	PROPN
cana-1586	155	40	}	}	PUNCT
cana-1586	155	41	,	,	PUNCT
cana-1586	155	42	{	{	PUNCT
cana-1586	155	43	pt4	pt4	NOUN
cana-1586	155	44	,	,	PUNCT
cana-1586	155	45	pt8	pt8	PROPN
cana-1586	155	46	}	}	PUNCT
cana-1586	155	47	,	,	PUNCT
cana-1586	155	48	{	{	PUNCT
cana-1586	155	49	pt5	pt5	PROPN
cana-1586	155	50	,	,	PUNCT
cana-1586	155	51	pt9	pt9	PROPN
cana-1586	155	52	,	,	PUNCT
cana-1586	155	53	pt13	pt13	PROPN
cana-1586	155	54	}	}	PUNCT
cana-1586	155	55	,	,	PUNCT
cana-1586	155	56	{	{	PUNCT
cana-1586	155	57	pt6	pt6	PROPN
cana-1586	155	58	,	,	PUNCT
cana-1586	155	59	pt10	pt10	PROPN
cana-1586	155	60	}	}	PUNCT
cana-1586	155	61	,	,	PUNCT
cana-1586	155	62	{	{	PUNCT
cana-1586	155	63	pt11	pt11	PROPN
cana-1586	155	64	,	,	PUNCT
cana-1586	155	65	pt14	pt14	PROPN
cana-1586	155	66	}	}	PUNCT
cana-1586	155	67	,	,	PUNCT
cana-1586	155	68	{	{	PUNCT
cana-1586	155	69	pt12	pt12	PROPN
cana-1586	155	70	}	}	PUNCT
cana-1586	155	71	}	}	PUNCT
cana-1586	155	72	,	,	PUNCT
cana-1586	155	73	here	here	ADV
cana-1586	155	74	the	the	DET
cana-1586	155	75	lower	low	ADJ
cana-1586	155	76	approximation	approximation	NOUN
cana-1586	155	77	area	area	NOUN
cana-1586	155	78	(	(	PUNCT
cana-1586	155	79	decreased	decrease	VERB
cana-1586	155	80	)	)	PUNCT
cana-1586	155	81	,	,	PUNCT
cana-1586	155	82	upper	upper	ADJ
cana-1586	155	83	approximation	approximation	NOUN
cana-1586	155	84	area	area	NOUN
cana-1586	155	85	(	(	PUNCT
cana-1586	155	86	increased	increase	VERB
cana-1586	155	87	)	)	PUNCT
cana-1586	155	88	and	and	CCONJ
cana-1586	155	89	boundary	boundary	ADJ
cana-1586	155	90	sector	sector	NOUN
cana-1586	155	91	are	be	AUX
cana-1586	155	92	denoted	denote	VERB
cana-1586	155	93	by	by	ADP
cana-1586	155	94	l(cbv	l(cbv	NOUN
cana-1586	155	95	)	)	PUNCT
cana-1586	155	96	(	(	PUNCT
cana-1586	155	97	af	af	X
cana-1586	155	98	~	~	PUNCT
cana-1586	155	99	)	)	PUNCT
cana-1586	156	1	=	=	PRON
cana-1586	156	2	{	{	PUNCT
cana-1586	156	3	pt2	pt2	PROPN
cana-1586	156	4	,	,	PUNCT
cana-1586	156	5	pt6	pt6	PROPN
cana-1586	156	6	,	,	PUNCT
cana-1586	156	7	pt10	pt10	PROPN
cana-1586	156	8	,	,	PUNCT
cana-1586	156	9	pt15	pt15	PROPN
cana-1586	156	10	}	}	PUNCT
cana-1586	156	11	,	,	PUNCT
cana-1586	156	12	u(cbv	u(cbv	NOUN
cana-1586	156	13	)	)	PUNCT
cana-1586	156	14	(	(	PUNCT
cana-1586	156	15	af	af	X
cana-1586	156	16	~	~	PUNCT
cana-1586	156	17	)	)	PUNCT
cana-1586	156	18	=	=	SYM
cana-1586	156	19	{	{	PUNCT
cana-1586	156	20	pt1,pt2,pt3	pt1,pt2,pt3	NOUN
cana-1586	156	21	,	,	PUNCT
cana-1586	156	22	pt4	pt4	PROPN
cana-1586	156	23	,	,	PUNCT
cana-1586	156	24	pt6	pt6	PROPN
cana-1586	156	25	,	,	PUNCT
cana-1586	156	26	pt7	pt7	NOUN
cana-1586	156	27	,	,	PUNCT
cana-1586	156	28	pt8	pt8	PROPN
cana-1586	156	29	,	,	PUNCT
cana-1586	156	30	pt10	pt10	PROPN
cana-1586	156	31	,	,	PUNCT
cana-1586	156	32	pt15	pt15	PROPN
cana-1586	156	33	}	}	PUNCT
cana-1586	156	34	,	,	PUNCT
cana-1586	156	35	b(cbv	b(cbv	NOUN
cana-1586	156	36	)	)	PUNCT
cana-1586	156	37	(	(	PUNCT
cana-1586	156	38	af	af	X
cana-1586	156	39	~	~	PUNCT
cana-1586	156	40	)	)	PUNCT
cana-1586	156	41	=	=	PRON
cana-1586	156	42	{	{	PUNCT
cana-1586	156	43	pt1	pt1	PROPN
cana-1586	156	44	,	,	PUNCT
cana-1586	156	45	pt3	pt3	NOUN
cana-1586	156	46	,	,	PUNCT
cana-1586	156	47	pt4	pt4	NOUN
cana-1586	156	48	,	,	PUNCT
cana-1586	156	49	pt7	pt7	NOUN
cana-1586	156	50	,	,	PUNCT
cana-1586	156	51	pt8	pt8	PROPN
cana-1586	156	52	}	}	PUNCT
cana-1586	156	53	.	.	PUNCT
cana-1586	157	1	therefore	therefore	ADV
cana-1586	157	2	the	the	DET
cana-1586	157	3	nano	nano	ADJ
cana-1586	157	4	fuzzy	fuzzy	ADJ
cana-1586	157	5	soft	soft	ADJ
cana-1586	157	6	topology	topology	NOUN
cana-1586	157	7	is	be	AUX
cana-1586	157	8	given	give	VERB
cana-1586	157	9	by	by	ADP
cana-1586	157	10	r	r	PROPN
cana-1586	157	11	(	(	PUNCT
cana-1586	157	12	c−bv	c−bv	NOUN
cana-1586	157	13	)	)	PUNCT
cana-1586	157	14	(	(	PUNCT
cana-1586	157	15	af	af	X
cana-1586	157	16	~	~	PUNCT
cana-1586	157	17	)	)	PUNCT
cana-1586	157	18	=	=	PRON
cana-1586	157	19	{	{	PUNCT
cana-1586	157	20	u	u	NOUN
cana-1586	157	21	,	,	PUNCT
cana-1586	157	22			NOUN
cana-1586	157	23	,	,	PUNCT
cana-1586	157	24	{	{	PUNCT
cana-1586	157	25	pt2	pt2	NOUN
cana-1586	157	26	,	,	PUNCT
cana-1586	157	27	pt6	pt6	PROPN
cana-1586	157	28	,	,	PUNCT
cana-1586	157	29	pt10	pt10	PROPN
cana-1586	157	30	,	,	PUNCT
cana-1586	157	31	pt15	pt15	PROPN
cana-1586	157	32	}	}	PUNCT
cana-1586	157	33	,	,	PUNCT
cana-1586	157	34	{	{	PUNCT
cana-1586	157	35	pt1	pt1	PROPN
cana-1586	157	36	,	,	PUNCT
cana-1586	157	37	pt2	pt2	PROPN
cana-1586	157	38	,	,	PUNCT
cana-1586	157	39	pt3	pt3	NOUN
cana-1586	157	40	,	,	PUNCT
cana-1586	157	41	pt4	pt4	NOUN
cana-1586	157	42	,	,	PUNCT
cana-1586	157	43	pt6	pt6	PROPN
cana-1586	157	44	,	,	PUNCT
cana-1586	157	45	pt7	pt7	NOUN
cana-1586	157	46	,	,	PUNCT
cana-1586	157	47	pt8	pt8	PROPN
cana-1586	157	48	,	,	PUNCT
cana-1586	157	49	pt10	pt10	PROPN
cana-1586	157	50	,	,	PUNCT
cana-1586	157	51	pt15	pt15	PROPN
cana-1586	157	52	}	}	PUNCT
cana-1586	157	53	,	,	PUNCT
cana-1586	157	54	{	{	PUNCT
cana-1586	157	55	pt1	pt1	NOUN
cana-1586	157	56	,	,	PUNCT
cana-1586	157	57	pt3	pt3	NOUN
cana-1586	157	58	,	,	PUNCT
cana-1586	157	59	pt4	pt4	NOUN
cana-1586	157	60	,	,	PUNCT
cana-1586	157	61	pt7	pt7	NOUN
cana-1586	157	62	,	,	PUNCT
cana-1586	157	63	pt8}}.hence	pt8}}.hence	NOUN
cana-1586	157	64	r(c−bv	r(c−bv	PROPN
cana-1586	157	65	)	)	PUNCT
cana-1586	157	66	(	(	PUNCT
cana-1586	157	67	af	af	X
cana-1586	157	68	~	~	PUNCT
cana-1586	157	69	)	)	PUNCT
cana-1586	157	70	=	=	SYM
cana-1586	157	71	r(c	r(c	PROPN
cana-1586	157	72	)	)	PUNCT
cana-1586	157	73	(	(	PUNCT
cana-1586	157	74	af	af	PROPN
cana-1586	157	75	~	~	PUNCT
cana-1586	157	76	)	)	PUNCT
cana-1586	157	77	.	.	PUNCT
cana-1586	158	1	case	case	NOUN
cana-1586	158	2	5	5	NUM
cana-1586	158	3	:	:	PUNCT
cana-1586	158	4	while	while	SCONJ
cana-1586	158	5	the	the	DET
cana-1586	158	6	attribute	attribute	NOUN
cana-1586	158	7	"	"	PUNCT
cana-1586	158	8	vomiting	vomiting	NOUN
cana-1586	158	9	"	"	PUNCT
cana-1586	158	10	is	be	AUX
cana-1586	158	11	extracted	extract	VERB
cana-1586	158	12	from	from	ADP
cana-1586	158	13	c	c	PROPN
cana-1586	158	14	,	,	PUNCT
cana-1586	158	15	then	then	ADV
cana-1586	158	16	u	u	NOUN
cana-1586	158	17	/	/	SYM
cana-1586	158	18	r(cv	r(cv	PROPN
cana-1586	158	19	)	)	PUNCT
cana-1586	158	20	=	=	NOUN
cana-1586	158	21	{	{	PUNCT
cana-1586	158	22	{	{	PUNCT
cana-1586	158	23	pt1	pt1	PROPN
cana-1586	158	24	,	,	PUNCT
cana-1586	158	25	pt3	pt3	NOUN
cana-1586	158	26	,	,	PUNCT
cana-1586	158	27	pt7	pt7	NOUN
cana-1586	158	28	}	}	PUNCT
cana-1586	158	29	,	,	PUNCT
cana-1586	158	30	{	{	PUNCT
cana-1586	158	31	pt2	pt2	NOUN
cana-1586	158	32	,	,	PUNCT
cana-1586	158	33	pt15	pt15	PROPN
cana-1586	158	34	}	}	PUNCT
cana-1586	158	35	,	,	PUNCT
cana-1586	158	36	{	{	PUNCT
cana-1586	158	37	pt4	pt4	NOUN
cana-1586	158	38	,	,	PUNCT
cana-1586	158	39	pt8	pt8	PROPN
cana-1586	158	40	}	}	PUNCT
cana-1586	158	41	,	,	PUNCT
cana-1586	158	42	{	{	PUNCT
cana-1586	158	43	pt5	pt5	PROPN
cana-1586	158	44	,	,	PUNCT
cana-1586	158	45	pt9	pt9	PROPN
cana-1586	158	46	,	,	PUNCT
cana-1586	158	47	pt13	pt13	PROPN
cana-1586	158	48	}	}	PUNCT
cana-1586	158	49	,	,	PUNCT
cana-1586	158	50	{	{	PUNCT
cana-1586	158	51	pt6	pt6	PROPN
cana-1586	158	52	,	,	PUNCT
cana-1586	158	53	pt10	pt10	PROPN
cana-1586	158	54	}	}	PUNCT
cana-1586	158	55	,	,	PUNCT
cana-1586	158	56	{	{	PUNCT
cana-1586	158	57	pt11	pt11	PROPN
cana-1586	158	58	,	,	PUNCT
cana-1586	158	59	pt14	pt14	PROPN
cana-1586	158	60	}	}	PUNCT
cana-1586	158	61	,	,	PUNCT
cana-1586	158	62	{	{	PUNCT
cana-1586	158	63	pt12	pt12	PROPN
cana-1586	158	64	}	}	PUNCT
cana-1586	158	65	}	}	PUNCT
cana-1586	158	66	,	,	PUNCT
cana-1586	158	67	here	here	ADV
cana-1586	158	68	the	the	DET
cana-1586	158	69	lower	low	ADJ
cana-1586	158	70	approximation	approximation	NOUN
cana-1586	158	71	,	,	PUNCT
cana-1586	158	72	upper	upper	ADJ
cana-1586	158	73	approximation	approximation	NOUN
cana-1586	158	74	and	and	CCONJ
cana-1586	158	75	boundary	boundary	ADJ
cana-1586	158	76	region	region	NOUN
cana-1586	158	77	are	be	AUX
cana-1586	158	78	given	give	VERB
cana-1586	158	79	by	by	ADP
cana-1586	158	80	l(cv	l(cv	PROPN
cana-1586	158	81	)	)	PUNCT
cana-1586	158	82	(	(	PUNCT
cana-1586	158	83	af	af	X
cana-1586	158	84	~	~	PUNCT
cana-1586	158	85	)	)	PUNCT
cana-1586	158	86	=	=	PRON
cana-1586	158	87	{	{	PUNCT
cana-1586	158	88	pt2	pt2	PROPN
cana-1586	158	89	,	,	PUNCT
cana-1586	158	90	pt6	pt6	PROPN
cana-1586	158	91	,	,	PUNCT
cana-1586	158	92	pt10	pt10	PROPN
cana-1586	158	93	,	,	PUNCT
cana-1586	158	94	pt15	pt15	PROPN
cana-1586	158	95	}	}	PUNCT
cana-1586	158	96	,	,	PUNCT
cana-1586	158	97	u(cv	u(cv	PROPN
cana-1586	158	98	)	)	PUNCT
cana-1586	158	99	(	(	PUNCT
cana-1586	158	100	af	af	X
cana-1586	158	101	~	~	PUNCT
cana-1586	158	102	)	)	PUNCT
cana-1586	158	103	=	=	PRON
cana-1586	158	104	{	{	PUNCT
cana-1586	158	105	pt1,pt2	pt1,pt2	NOUN
cana-1586	158	106	,	,	PUNCT
cana-1586	158	107	pt3	pt3	NOUN
cana-1586	158	108	,	,	PUNCT
cana-1586	158	109	pt4	pt4	NOUN
cana-1586	158	110	,	,	PUNCT
cana-1586	158	111	pt6,pt7	pt6,pt7	PROPN
cana-1586	158	112	,	,	PUNCT
cana-1586	158	113	pt8	pt8	PROPN
cana-1586	158	114	,	,	PUNCT
cana-1586	158	115	pt10	pt10	PROPN
cana-1586	158	116	,	,	PUNCT
cana-1586	158	117	pt15	pt15	PROPN
cana-1586	158	118	}	}	PUNCT
cana-1586	158	119	,	,	PUNCT
cana-1586	158	120	b(cv	b(cv	PROPN
cana-1586	158	121	)	)	PUNCT
cana-1586	158	122	(	(	PUNCT
cana-1586	158	123	af	af	X
cana-1586	158	124	~	~	PUNCT
cana-1586	158	125	)	)	PUNCT
cana-1586	159	1	=	=	PRON
cana-1586	159	2	{	{	PUNCT
cana-1586	159	3	pt1	pt1	PROPN
cana-1586	159	4	,	,	PUNCT
cana-1586	159	5	pt3	pt3	NOUN
cana-1586	159	6	,	,	PUNCT
cana-1586	159	7	pt4	pt4	NOUN
cana-1586	159	8	,	,	PUNCT
cana-1586	159	9	pt7	pt7	NOUN
cana-1586	159	10	,	,	PUNCT
cana-1586	159	11	pt8	pt8	PROPN
cana-1586	159	12	}	}	PUNCT
cana-1586	159	13	.	.	PUNCT
cana-1586	160	1	therefore	therefore	ADV
cana-1586	160	2	the	the	DET
cana-1586	160	3	nano	nano	ADJ
cana-1586	160	4	fuzzy	fuzzy	ADJ
cana-1586	160	5	soft	soft	ADJ
cana-1586	160	6	topology	topology	NOUN
cana-1586	160	7	is	be	AUX
cana-1586	160	8	given	give	VERB
cana-1586	160	9	by	by	ADP
cana-1586	160	10	r(c−b	r(c−b	NOUN
cana-1586	160	11	)	)	PUNCT
cana-1586	160	12	(	(	PUNCT
cana-1586	160	13	af	af	X
cana-1586	160	14	~	~	PUNCT
cana-1586	160	15	)	)	PUNCT
cana-1586	161	1	=	=	PRON
cana-1586	161	2	{	{	PUNCT
cana-1586	161	3	u	u	NOUN
cana-1586	161	4	,	,	PUNCT
cana-1586	161	5			NOUN
cana-1586	161	6	,	,	PUNCT
cana-1586	161	7	{	{	PUNCT
cana-1586	161	8	pt2,pt6	pt2,pt6	X
cana-1586	161	9	,	,	PUNCT
cana-1586	161	10	pt10	pt10	PROPN
cana-1586	161	11	,	,	PUNCT
cana-1586	161	12	pt15	pt15	PROPN
cana-1586	161	13	}	}	PUNCT
cana-1586	161	14	,	,	PUNCT
cana-1586	161	15	{	{	PUNCT
cana-1586	161	16	pt1,pt2	pt1,pt2	NOUN
cana-1586	161	17	,	,	PUNCT
cana-1586	161	18	pt3	pt3	NOUN
cana-1586	161	19	,	,	PUNCT
cana-1586	161	20	pt4	pt4	NOUN
cana-1586	161	21	,	,	PUNCT
cana-1586	161	22	pt6,pt7	pt6,pt7	PROPN
cana-1586	161	23	,	,	PUNCT
cana-1586	161	24	pt8	pt8	PROPN
cana-1586	161	25	,	,	PUNCT
cana-1586	161	26	pt10	pt10	PROPN
cana-1586	161	27	,	,	PUNCT
cana-1586	161	28	pt15	pt15	PROPN
cana-1586	161	29	}	}	PUNCT
cana-1586	161	30	,	,	PUNCT
cana-1586	161	31	{	{	PUNCT
cana-1586	161	32	pt1	pt1	NOUN
cana-1586	161	33	,	,	PUNCT
cana-1586	161	34	pt3	pt3	NOUN
cana-1586	161	35	,	,	PUNCT
cana-1586	161	36	pt4	pt4	NOUN
cana-1586	161	37	,	,	PUNCT
cana-1586	161	38	pt7	pt7	NOUN
cana-1586	161	39	,	,	PUNCT
cana-1586	161	40	pt8	pt8	PROPN
cana-1586	161	41	}	}	PUNCT
cana-1586	161	42	}	}	PUNCT
cana-1586	161	43	.	.	PUNCT
cana-1586	162	1	hence	hence	ADV
cana-1586	162	2	r(c−v	r(c−v	NUM
cana-1586	162	3	)	)	PUNCT
cana-1586	162	4	(	(	PUNCT
cana-1586	162	5	af	af	X
cana-1586	162	6	~	~	PUNCT
cana-1586	162	7	)	)	PUNCT
cana-1586	162	8	=	=	SYM
cana-1586	162	9	r(c	r(c	PROPN
cana-1586	162	10	)	)	PUNCT
cana-1586	162	11	(	(	PUNCT
cana-1586	162	12	af	af	PROPN
cana-1586	162	13	~	~	PUNCT
cana-1586	162	14	)	)	PUNCT
cana-1586	162	15	.	.	PUNCT
cana-1586	163	1	case	case	NOUN
cana-1586	163	2	6	6	NUM
cana-1586	163	3	:	:	PUNCT
cana-1586	163	4	while	while	SCONJ
cana-1586	163	5	the	the	DET
cana-1586	163	6	attribute	attribute	NOUN
cana-1586	163	7	“	"	PUNCT
cana-1586	163	8	loss	loss	NOUN
cana-1586	163	9	of	of	ADP
cana-1586	163	10	weight	weight	NOUN
cana-1586	163	11	"	"	PUNCT
cana-1586	163	12	is	be	AUX
cana-1586	163	13	extracted	extract	VERB
cana-1586	163	14	from	from	ADP
cana-1586	163	15	c	c	PROPN
cana-1586	163	16	,	,	PUNCT
cana-1586	163	17	then	then	ADV
cana-1586	163	18	u	u	NOUN
cana-1586	163	19	/	/	SYM
cana-1586	163	20	r(clw	r(clw	PROPN
cana-1586	163	21	)	)	PUNCT
cana-1586	163	22	=	=	NOUN
cana-1586	163	23	{	{	PUNCT
cana-1586	163	24	{	{	PUNCT
cana-1586	163	25	pt1	pt1	PROPN
cana-1586	163	26	,	,	PUNCT
cana-1586	163	27	pt3	pt3	NOUN
cana-1586	163	28	,	,	PUNCT
cana-1586	163	29	pt7	pt7	NOUN
cana-1586	163	30	}	}	PUNCT
cana-1586	163	31	,	,	PUNCT
cana-1586	163	32	{	{	PUNCT
cana-1586	163	33	pt2	pt2	NOUN
cana-1586	163	34	,	,	PUNCT
cana-1586	163	35	pt15	pt15	PROPN
cana-1586	163	36	}	}	PUNCT
cana-1586	163	37	,	,	PUNCT
cana-1586	163	38	{	{	PUNCT
cana-1586	163	39	pt4	pt4	PROPN
cana-1586	163	40	,	,	PUNCT
cana-1586	163	41	pt5	pt5	PROPN
cana-1586	163	42	,	,	PUNCT
cana-1586	163	43	pt8	pt8	PROPN
cana-1586	163	44	,	,	PUNCT
cana-1586	163	45	pt9	pt9	PROPN
cana-1586	163	46	,	,	PUNCT
cana-1586	163	47	pt13	pt13	PROPN
cana-1586	163	48	}	}	PUNCT
cana-1586	163	49	,	,	PUNCT
cana-1586	163	50	{	{	PUNCT
cana-1586	163	51	pt6	pt6	PROPN
cana-1586	163	52	,	,	PUNCT
cana-1586	163	53	pt10	pt10	PROPN
cana-1586	163	54	}	}	PUNCT
cana-1586	163	55	,	,	PUNCT
cana-1586	163	56	{	{	PUNCT
cana-1586	163	57	pt11	pt11	PROPN
cana-1586	163	58	,	,	PUNCT
cana-1586	163	59	pt14	pt14	PROPN
cana-1586	163	60	}	}	PUNCT
cana-1586	163	61	,	,	PUNCT
cana-1586	163	62	{	{	PUNCT
cana-1586	163	63	pt12	pt12	PROPN
cana-1586	163	64	}	}	PUNCT
cana-1586	163	65	}	}	PUNCT
cana-1586	163	66	,	,	PUNCT
cana-1586	163	67	here	here	ADV
cana-1586	163	68	the	the	DET
cana-1586	163	69	lower	low	ADJ
cana-1586	163	70	approximation	approximation	NOUN
cana-1586	163	71	,	,	PUNCT
cana-1586	163	72	upper	upper	ADJ
cana-1586	163	73	approximation	approximation	NOUN
cana-1586	163	74	and	and	CCONJ
cana-1586	163	75	boundary	boundary	ADJ
cana-1586	163	76	region	region	NOUN
cana-1586	163	77	are	be	AUX
cana-1586	163	78	given	give	VERB
cana-1586	163	79	by	by	ADP
cana-1586	163	80	l(clw	l(clw	NOUN
cana-1586	163	81	)	)	PUNCT
cana-1586	163	82	(	(	PUNCT
cana-1586	163	83	af	af	X
cana-1586	163	84	~	~	PUNCT
cana-1586	163	85	)	)	PUNCT
cana-1586	163	86	=	=	PRON
cana-1586	163	87	{	{	PUNCT
cana-1586	163	88	pt2	pt2	PROPN
cana-1586	163	89	,	,	PUNCT
cana-1586	163	90	pt6	pt6	PROPN
cana-1586	163	91	,	,	PUNCT
cana-1586	163	92	pt10	pt10	PROPN
cana-1586	163	93	,	,	PUNCT
cana-1586	163	94	pt15	pt15	PROPN
cana-1586	163	95	}	}	PUNCT
cana-1586	163	96	,	,	PUNCT
cana-1586	163	97	u(clw	u(clw	NOUN
cana-1586	163	98	)	)	PUNCT
cana-1586	163	99	(	(	PUNCT
cana-1586	163	100	af	af	X
cana-1586	163	101	~	~	PUNCT
cana-1586	163	102	)	)	PUNCT
cana-1586	164	1	=	=	PRON
cana-1586	164	2	{	{	PUNCT
cana-1586	164	3	pt1	pt1	PROPN
cana-1586	164	4	,	,	PUNCT
cana-1586	164	5	pt2	pt2	PROPN
cana-1586	164	6	,	,	PUNCT
cana-1586	164	7	pt3	pt3	NOUN
cana-1586	164	8	,	,	PUNCT
cana-1586	164	9	pt4	pt4	NOUN
cana-1586	164	10	,	,	PUNCT
cana-1586	164	11	pt5	pt5	PROPN
cana-1586	164	12	,	,	PUNCT
cana-1586	164	13	pt6	pt6	PROPN
cana-1586	164	14	,	,	PUNCT
cana-1586	164	15	pt7,pt8	pt7,pt8	X
cana-1586	164	16	,	,	PUNCT
cana-1586	164	17	pt9,pt10	pt9,pt10	PRON
cana-1586	164	18	,	,	PUNCT
cana-1586	164	19	pt13	pt13	PROPN
cana-1586	164	20	,	,	PUNCT
cana-1586	164	21	pt15	pt15	PROPN
cana-1586	164	22	}	}	PUNCT
cana-1586	164	23	,	,	PUNCT
cana-1586	164	24	b(clw	b(clw	NOUN
cana-1586	164	25	)	)	PUNCT
cana-1586	164	26	(	(	PUNCT
cana-1586	164	27	x	x	X
cana-1586	164	28	)	)	PUNCT
cana-1586	164	29	=	=	SYM
cana-1586	164	30	{	{	PUNCT
cana-1586	164	31	pt1	pt1	PROPN
cana-1586	164	32	,	,	PUNCT
cana-1586	164	33	pt3	pt3	NOUN
cana-1586	164	34	,	,	PUNCT
cana-1586	164	35	pt4	pt4	NOUN
cana-1586	164	36	,	,	PUNCT
cana-1586	164	37	pt5	pt5	PROPN
cana-1586	164	38	,	,	PUNCT
cana-1586	164	39	pt7	pt7	NOUN
cana-1586	164	40	,	,	PUNCT
cana-1586	164	41	pt8	pt8	PROPN
cana-1586	164	42	,	,	PUNCT
cana-1586	164	43	pt9	pt9	PROPN
cana-1586	164	44	,	,	PUNCT
cana-1586	164	45	pt13	pt13	PROPN
cana-1586	164	46	}	}	PUNCT
cana-1586	164	47	.	.	PUNCT
cana-1586	165	1	therefore	therefore	ADV
cana-1586	165	2	the	the	DET
cana-1586	165	3	nano	nano	ADJ
cana-1586	165	4	fuzzy	fuzzy	ADJ
cana-1586	165	5	soft	soft	ADJ
cana-1586	165	6	topology	topology	NOUN
cana-1586	165	7	is	be	AUX
cana-1586	165	8	given	give	VERB
cana-1586	165	9	by	by	ADP
cana-1586	165	10	r(c−lw	r(c−lw	NOUN
cana-1586	165	11	)	)	PUNCT
cana-1586	165	12	(	(	PUNCT
cana-1586	165	13	af	af	X
cana-1586	165	14	~	~	PUNCT
cana-1586	165	15	)	)	PUNCT
cana-1586	166	1	=	=	PRON
cana-1586	166	2	{	{	PUNCT
cana-1586	166	3	u	u	NOUN
cana-1586	166	4	,	,	PUNCT
cana-1586	166	5			NOUN
cana-1586	166	6	,	,	PUNCT
cana-1586	166	7	{	{	PUNCT
cana-1586	166	8	pt2	pt2	NOUN
cana-1586	166	9	,	,	PUNCT
cana-1586	166	10	pt6	pt6	PROPN
cana-1586	166	11	,	,	PUNCT
cana-1586	166	12	pt10	pt10	PROPN
cana-1586	166	13	,	,	PUNCT
cana-1586	166	14	pt15	pt15	PROPN
cana-1586	166	15	}	}	PUNCT
cana-1586	166	16	,	,	PUNCT
cana-1586	166	17	{	{	PUNCT
cana-1586	166	18	pt1,pt2	pt1,pt2	NOUN
cana-1586	166	19	,	,	PUNCT
cana-1586	166	20	pt3	pt3	NOUN
cana-1586	166	21	,	,	PUNCT
cana-1586	166	22	pt4	pt4	NOUN
cana-1586	166	23	,	,	PUNCT
cana-1586	166	24	pt5,pt6	pt5,pt6	PROPN
cana-1586	166	25	,	,	PUNCT
cana-1586	166	26	pt7	pt7	NOUN
cana-1586	166	27	,	,	PUNCT
cana-1586	166	28	pt8	pt8	PROPN
cana-1586	166	29	,	,	PUNCT
cana-1586	166	30	pt9	pt9	PROPN
cana-1586	166	31	,	,	PUNCT
cana-1586	166	32	pt10	pt10	PROPN
cana-1586	166	33	,	,	PUNCT
cana-1586	166	34	pt13	pt13	PROPN
cana-1586	166	35	,	,	PUNCT
cana-1586	166	36	pt15	pt15	PROPN
cana-1586	166	37	}	}	PUNCT
cana-1586	166	38	,	,	PUNCT
cana-1586	166	39	{	{	PUNCT
cana-1586	166	40	pt1	pt1	NOUN
cana-1586	166	41	,	,	PUNCT
cana-1586	166	42	pt3	pt3	NOUN
cana-1586	166	43	,	,	PUNCT
cana-1586	166	44	pt4	pt4	NOUN
cana-1586	166	45	,	,	PUNCT
cana-1586	166	46	pt5	pt5	PROPN
cana-1586	166	47	,	,	PUNCT
cana-1586	166	48	pt7	pt7	PROPN
cana-1586	166	49	,	,	PUNCT
cana-1586	166	50	pt8	pt8	PROPN
cana-1586	166	51	,	,	PUNCT
cana-1586	166	52	pt9	pt9	PROPN
cana-1586	166	53	,	,	PUNCT
cana-1586	166	54	pt13	pt13	PROPN
cana-1586	166	55	}	}	PUNCT
cana-1586	166	56	}	}	PUNCT
cana-1586	166	57	.	.	PUNCT
cana-1586	167	1	r(c−lw	r(c−lw	VERB
cana-1586	167	2	)	)	PUNCT
cana-1586	167	3	(	(	PUNCT
cana-1586	167	4	af	af	X
cana-1586	167	5	~	~	PUNCT
cana-1586	167	6	)	)	PUNCT
cana-1586	167	7	≠r(c	≠r(c	PROPN
cana-1586	167	8	)	)	PUNCT
cana-1586	167	9	(	(	PUNCT
cana-1586	167	10	af	af	X
cana-1586	167	11	~	~	PUNCT
cana-1586	167	12	)	)	PUNCT
cana-1586	167	13	.	.	PUNCT
cana-1586	168	1	core	core	NOUN
cana-1586	168	2	=	=	NOUN
cana-1586	168	3	{	{	PUNCT
cana-1586	168	4	increased	increase	VERB
cana-1586	168	5	thirst	thirst	NOUN
cana-1586	168	6	,	,	PUNCT
cana-1586	168	7	loss	loss	NOUN
cana-1586	168	8	of	of	ADP
cana-1586	168	9	weight	weight	NOUN
cana-1586	168	10	}	}	PUNCT
cana-1586	168	11	therefore	therefore	ADV
cana-1586	168	12	from	from	ADP
cana-1586	168	13	the	the	DET
cana-1586	168	14	above	above	ADJ
cana-1586	168	15	observations	observation	NOUN
cana-1586	168	16	it	it	PRON
cana-1586	168	17	is	be	AUX
cana-1586	168	18	clear	clear	ADJ
cana-1586	168	19	that	that	SCONJ
cana-1586	168	20	increased	increase	VERB
cana-1586	168	21	thirst	thirst	NOUN
cana-1586	168	22	due	due	ADP
cana-1586	168	23	to	to	ADP
cana-1586	168	24	frequent	frequent	ADJ
cana-1586	168	25	urination	urination	NOUN
cana-1586	168	26	and	and	CCONJ
cana-1586	168	27	loss	loss	NOUN
cana-1586	168	28	of	of	ADP
cana-1586	168	29	weight	weight	NOUN
cana-1586	168	30	are	be	AUX
cana-1586	168	31	the	the	DET
cana-1586	168	32	main	main	ADJ
cana-1586	168	33	causes	cause	NOUN
cana-1586	168	34	for	for	ADP
cana-1586	168	35	the	the	DET
cana-1586	168	36	diabetes	diabetes	NOUN
cana-1586	168	37	disease	disease	NOUN
cana-1586	168	38	.	.	PUNCT
cana-1586	169	1	conclusion	conclusion	NOUN
cana-1586	169	2	:	:	PUNCT
cana-1586	169	3	nano	nano	NOUN
cana-1586	169	4	fuzzy	fuzzy	ADJ
cana-1586	169	5	soft	soft	ADJ
cana-1586	169	6	topology	topology	NOUN
cana-1586	169	7	can	can	AUX
cana-1586	169	8	be	be	AUX
cana-1586	169	9	used	use	VERB
cana-1586	169	10	to	to	PART
cana-1586	169	11	find	find	VERB
cana-1586	169	12	the	the	DET
cana-1586	169	13	key	key	ADJ
cana-1586	169	14	components	component	NOUN
cana-1586	169	15	for	for	ADP
cana-1586	169	16	cause	cause	NOUN
cana-1586	169	17	of	of	ADP
cana-1586	169	18	various	various	ADJ
cana-1586	169	19	diseases	disease	NOUN
cana-1586	169	20	,	,	PUNCT
cana-1586	169	21	to	to	PART
cana-1586	169	22	find	find	VERB
cana-1586	169	23	the	the	DET
cana-1586	169	24	recovery	recovery	NOUN
cana-1586	169	25	rate	rate	NOUN
cana-1586	169	26	of	of	ADP
cana-1586	169	27	patients	patient	NOUN
cana-1586	169	28	,	,	PUNCT
cana-1586	169	29	to	to	PART
cana-1586	169	30	find	find	VERB
cana-1586	169	31	the	the	DET
cana-1586	169	32	best	good	ADJ
cana-1586	169	33	cure	cure	NOUN
cana-1586	169	34	among	among	ADP
cana-1586	169	35	different	different	ADJ
cana-1586	169	36	medicines	medicine	NOUN
cana-1586	169	37	taken	take	VERB
cana-1586	169	38	by	by	ADP
cana-1586	169	39	patients	patient	NOUN
cana-1586	169	40	and	and	CCONJ
cana-1586	169	41	to	to	PART
cana-1586	169	42	find	find	VERB
cana-1586	169	43	suitable	suitable	ADJ
cana-1586	169	44	medicine	medicine	NOUN
cana-1586	169	45	to	to	ADP
cana-1586	169	46	different	different	ADJ
cana-1586	169	47	categories	category	NOUN
cana-1586	169	48	of	of	ADP
cana-1586	169	49	people	people	NOUN
cana-1586	169	50	.	.	PUNCT
cana-1586	170	1	references	reference	NOUN
cana-1586	170	2	:	:	PUNCT
cana-1586	171	1	[	[	X
cana-1586	171	2	1	1	X
cana-1586	171	3	]	]	X
cana-1586	171	4	l.a	l.a	PROPN
cana-1586	171	5	zadeh	zadeh	PROPN
cana-1586	171	6	.	.	PROPN
cana-1586	171	7	,	,	PUNCT
cana-1586	171	8	“	"	PUNCT
cana-1586	171	9	fuzzy	fuzzy	ADJ
cana-1586	171	10	sets	set	NOUN
cana-1586	171	11	,	,	PUNCT
cana-1586	171	12	information	information	NOUN
cana-1586	171	13	and	and	CCONJ
cana-1586	171	14	control	control	NOUN
cana-1586	171	15	”	"	PUNCT
cana-1586	171	16	,	,	PUNCT
cana-1586	171	17	the	the	DET
cana-1586	171	18	journal	journal	NOUN
cana-1586	171	19	of	of	ADP
cana-1586	171	20	symbolic	symbolic	ADJ
cana-1586	171	21	logic	logic	NOUN
cana-1586	171	22	,	,	PUNCT
cana-1586	171	23	vol.8	vol.8	PROPN
cana-1586	171	24	,	,	PUNCT
cana-1586	171	25	pp	pp	PROPN
cana-1586	171	26	.	.	PUNCT
cana-1586	172	1	338	338	NUM
cana-1586	172	2	-	-	SYM
cana-1586	172	3	353	353	NUM
cana-1586	172	4	,	,	PUNCT
cana-1586	172	5	1965	1965	NUM
cana-1586	172	6	.	.	PUNCT
cana-1586	173	1	[	[	X
cana-1586	173	2	2	2	NUM
cana-1586	173	3	]	]	PUNCT
cana-1586	173	4	c.	c.	PROPN
cana-1586	173	5	l.	l.	PROPN
cana-1586	173	6	chang	chang	PROPN
cana-1586	173	7	,	,	PUNCT
cana-1586	173	8	“	"	PUNCT
cana-1586	173	9	fuzzy	fuzzy	ADJ
cana-1586	173	10	topological	topological	ADJ
cana-1586	173	11	spaces	space	NOUN
cana-1586	173	12	”	"	PUNCT
cana-1586	173	13	,	,	PUNCT
cana-1586	173	14	jmaa	jmaa	NOUN
cana-1586	173	15	,	,	PUNCT
cana-1586	173	16	vol.24	vol.24	NOUN
cana-1586	173	17	,	,	PUNCT
cana-1586	173	18	pp.182	pp.182	PROPN
cana-1586	173	19	-	-	PUNCT
cana-1586	173	20	190	190	NUM
cana-1586	173	21	,	,	PUNCT
cana-1586	173	22	1968	1968	NUM
cana-1586	173	23	.	.	PUNCT
cana-1586	174	1	[	[	X
cana-1586	174	2	3	3	NUM
cana-1586	174	3	]	]	X
cana-1586	174	4	lowen	lowen	PROPN
cana-1586	174	5	,	,	PUNCT
cana-1586	174	6	r.	r.	PROPN
cana-1586	174	7	,	,	PUNCT
cana-1586	174	8	“	"	PUNCT
cana-1586	174	9	fuzzy	fuzzy	ADJ
cana-1586	174	10	topological	topological	ADJ
cana-1586	174	11	spaces	space	NOUN
cana-1586	174	12	and	and	CCONJ
cana-1586	174	13	fuzzy	fuzzy	ADJ
cana-1586	174	14	compactness	compactness	NOUN
cana-1586	174	15	”	"	PUNCT
cana-1586	174	16	,	,	PUNCT
cana-1586	174	17	jour	jour	X
cana-1586	174	18	.	.	PROPN
cana-1586	174	19	of	of	ADP
cana-1586	174	20	mathe	mathe	PROPN
cana-1586	174	21	.	.	PUNCT
cana-1586	175	1	analysis	analysis	NOUN
cana-1586	175	2	and	and	CCONJ
cana-1586	175	3	applications	application	NOUN
cana-1586	175	4	.	.	PUNCT
cana-1586	176	1	vol.56	vol.56	ADJ
cana-1586	176	2	,	,	PUNCT
cana-1586	176	3	pp.621	pp.621	PROPN
cana-1586	176	4	-	-	PUNCT
cana-1586	176	5	633	633	NUM
cana-1586	176	6	,	,	PUNCT
cana-1586	176	7	1976	1976	NUM
cana-1586	176	8	.	.	PUNCT
cana-1586	177	1	[	[	X
cana-1586	177	2	4	4	NUM
cana-1586	177	3	]	]	X
cana-1586	177	4	molodtsov	molodtsov	NOUN
cana-1586	177	5	,	,	PUNCT
cana-1586	177	6	d.	d.	PROPN
cana-1586	177	7	“	"	PUNCT
cana-1586	177	8	soft	soft	ADJ
cana-1586	177	9	set	set	NOUN
cana-1586	177	10	theory	theory	NOUN
cana-1586	177	11	—	—	PUNCT
cana-1586	177	12	first	first	ADJ
cana-1586	177	13	results	result	NOUN
cana-1586	177	14	”	"	PUNCT
cana-1586	177	15	,	,	PUNCT
cana-1586	177	16	comp	comp	PROPN
cana-1586	177	17	.	.	PUNCT
cana-1586	178	1	&	&	CCONJ
cana-1586	178	2	amp	amp	PROPN
cana-1586	178	3	;	;	PUNCT
cana-1586	178	4	mathe	mathe	NOUN
cana-1586	178	5	.	.	PUNCT
cana-1586	179	1	with	with	ADP
cana-1586	179	2	applications	application	NOUN
cana-1586	179	3	,	,	PUNCT
cana-1586	179	4	vol.37	vol.37	VERB
cana-1586	179	5	,	,	PUNCT
cana-1586	179	6	no	no	INTJ
cana-1586	179	7	.	.	NOUN
cana-1586	179	8	4	4	NUM
cana-1586	179	9	-	-	SYM
cana-1586	179	10	5,pp	5,pp	NUM
cana-1586	179	11	:	:	PUNCT
cana-1586	179	12	1931,1999	1931,1999	NUM
cana-1586	179	13	.	.	PUNCT
cana-1586	180	1	[	[	X
cana-1586	180	2	5	5	X
cana-1586	180	3	]	]	PUNCT
cana-1586	180	4	p.	p.	NOUN
cana-1586	180	5	k.	k.	PROPN
cana-1586	181	1	maji	maji	PROPN
cana-1586	181	2	,	,	PUNCT
cana-1586	181	3	r.	r.	PROPN
cana-1586	181	4	biswas	biswas	PROPN
cana-1586	181	5	,	,	PUNCT
cana-1586	181	6	and	and	CCONJ
cana-1586	181	7	a.	a.	PROPN
cana-1586	181	8	r.	r.	PROPN
cana-1586	181	9	roy	roy	PROPN
cana-1586	181	10	,	,	PUNCT
cana-1586	181	11	“	"	PUNCT
cana-1586	181	12	fuzzy	fuzzy	ADJ
cana-1586	181	13	soft	soft	ADJ
cana-1586	181	14	sets	set	NOUN
cana-1586	181	15	,	,	PUNCT
cana-1586	181	16	”	"	PUNCT
cana-1586	181	17	journ	journ	NOUN
cana-1586	181	18	.	.	PUNCT
cana-1586	182	1	of	of	ADP
cana-1586	182	2	fuzzy	fuzzy	ADJ
cana-1586	182	3	mathe	mathe	NOUN
cana-1586	182	4	.	.	PUNCT
cana-1586	182	5	,	,	PUNCT
cana-1586	182	6	vol	vol	NOUN
cana-1586	182	7	.	.	PROPN
cana-1586	182	8	9	9	NUM
cana-1586	182	9	,	,	PUNCT
cana-1586	182	10	no	no	INTJ
cana-1586	182	11	.	.	NOUN
cana-1586	182	12	3	3	NUM
cana-1586	182	13	,	,	PUNCT
cana-1586	182	14	pp	pp	ADJ
cana-1586	182	15	.	.	PUNCT
cana-1586	183	1	589–602	589–602	NUM
cana-1586	183	2	,	,	PUNCT
cana-1586	183	3	2001	2001	NUM
cana-1586	183	4	.	.	PUNCT
cana-1586	184	1	communications	communication	NOUN
cana-1586	184	2	on	on	ADP
cana-1586	184	3	applied	apply	VERB
cana-1586	184	4	nonlinear	nonlinear	ADJ
cana-1586	184	5	analysis	analysis	NOUN
cana-1586	184	6	issn	issn	NOUN
cana-1586	184	7	:	:	PUNCT
cana-1586	184	8	1074	1074	NUM
cana-1586	184	9	-	-	PUNCT
cana-1586	184	10	133x	133x	NUM
cana-1586	184	11	vol	vol	NOUN
cana-1586	184	12	31	31	NUM
cana-1586	184	13	no	no	NOUN
cana-1586	184	14	.	.	PUNCT
cana-1586	185	1	8s	8s	PROPN
cana-1586	185	2	(	(	PUNCT
cana-1586	185	3	2024	2024	NUM
cana-1586	185	4	)	)	PUNCT
cana-1586	185	5	756	756	NUM
cana-1586	185	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1586	186	1	[	[	X
cana-1586	186	2	6	6	NUM
cana-1586	186	3	]	]	PUNCT
cana-1586	186	4	m.lellis	m.lellis	PRON
cana-1586	186	5	thivagar	thivagar	NOUN
cana-1586	186	6	,	,	PUNCT
cana-1586	186	7	carmel	carmel	PROPN
cana-1586	186	8	richard	richard	PROPN
cana-1586	186	9	,	,	PUNCT
cana-1586	186	10	“	"	PUNCT
cana-1586	186	11	on	on	ADP
cana-1586	186	12	nanoforms	nanoform	NOUN
cana-1586	186	13	of	of	ADP
cana-1586	186	14	weakly	weakly	ADJ
cana-1586	186	15	open	open	ADJ
cana-1586	186	16	sets	set	NOUN
cana-1586	186	17	”	"	PUNCT
cana-1586	186	18	,	,	PUNCT
cana-1586	186	19	international	international	ADJ
cana-1586	186	20	journal	journal	NOUN
cana-1586	186	21	of	of	ADP
cana-1586	186	22	mathe	mathe	PROPN
cana-1586	186	23	.	.	PUNCT
cana-1586	187	1	and	and	CCONJ
cana-1586	187	2	statistics	statistics	PROPN
cana-1586	187	3	inven	inven	PROPN
cana-1586	187	4	.	.	PUNCT
cana-1586	187	5	,	,	PUNCT
cana-1586	187	6	vol	vol	NOUN
cana-1586	187	7	.	.	PROPN
cana-1586	188	1	1	1	NUM
cana-1586	188	2	,	,	PUNCT
cana-1586	188	3	no	no	INTJ
cana-1586	188	4	.	.	NOUN
cana-1586	189	1	1,august	1,august	NUM
cana-1586	189	2	,	,	PUNCT
cana-1586	189	3	pp:31	pp:31	PROPN
cana-1586	189	4	-	-	PUNCT
cana-1586	189	5	37,2013	37,2013	NUM
cana-1586	189	6	.	.	PUNCT
cana-1586	190	1	[	[	X
cana-1586	190	2	7	7	X
cana-1586	190	3	]	]	SYM
cana-1586	190	4	m.lellis	m.lellis	PRON
cana-1586	190	5	thivagar	thivagar	NOUN
cana-1586	190	6	and	and	CCONJ
cana-1586	190	7	s.p.r.priyalatha	s.p.r.priyalatha	PROPN
cana-1586	190	8	“	"	PUNCT
cana-1586	190	9	an	an	DET
cana-1586	190	10	innovative	innovative	ADJ
cana-1586	190	11	approach	approach	NOUN
cana-1586	190	12	on	on	ADP
cana-1586	190	13	nano	nano	NOUN
cana-1586	190	14	soft	soft	ADJ
cana-1586	190	15	topological	topological	ADJ
cana-1586	190	16	space”,south	space”,south	PROPN
cana-1586	190	17	east	east	PROPN
cana-1586	190	18	asian	asian	PROPN
cana-1586	190	19	journal	journal	NOUN
cana-1586	190	20	of	of	ADP
cana-1586	190	21	math	math	NOUN
cana-1586	190	22	.	.	PUNCT
cana-1586	191	1	&	&	CCONJ
cana-1586	191	2	amp	amp	PROPN
cana-1586	191	3	;	;	PUNCT
cana-1586	191	4	math	math	NOUN
cana-1586	191	5	.	.	PUNCT
cana-1586	192	1	sci	sci	PROPN
cana-1586	192	2	,	,	PUNCT
cana-1586	192	3	vol	vol	NOUN
cana-1586	192	4	13,no.2	13,no.2	NUM
cana-1586	192	5	,	,	PUNCT
cana-1586	192	6	pp:47	pp:47	PROPN
cana-1586	192	7	-	-	PUNCT
cana-1586	192	8	62	62	NUM
cana-1586	192	9	,	,	PUNCT
cana-1586	192	10	2017	2017	NUM
cana-1586	192	11	.	.	PUNCT
cana-1586	193	1	[	[	X
cana-1586	193	2	8	8	X
cana-1586	193	3	]	]	X
cana-1586	193	4	jayalakshmi	jayalakshmi	PROPN
cana-1586	193	5	.a	.a	PROPN
cana-1586	193	6	and	and	CCONJ
cana-1586	193	7	janaki	janaki	PROPN
cana-1586	193	8	.c,“a	.c,“a	PUNCT
cana-1586	194	1	new	new	ADJ
cana-1586	194	2	class	class	NOUN
cana-1586	194	3	of	of	ADP
cana-1586	194	4	sets	set	NOUN
cana-1586	194	5	in	in	ADP
cana-1586	194	6	nano	nano	NOUN
cana-1586	194	7	topological	topological	ADJ
cana-1586	194	8	spaces	space	NOUN
cana-1586	194	9	with	with	ADP
cana-1586	194	10	an	an	DET
cana-1586	194	11	application	application	NOUN
cana-1586	194	12	in	in	ADP
cana-1586	194	13	medical	medical	ADJ
cana-1586	194	14	diagnosis	diagnosis	NOUN
cana-1586	194	15	”	"	PUNCT
cana-1586	194	16	,	,	PUNCT
cana-1586	194	17	int.jour	int.jour	NOUN
cana-1586	194	18	.	.	PROPN
cana-1586	194	19	of	of	ADP
cana-1586	194	20	engi	engi	PROPN
cana-1586	194	21	.	.	PUNCT
cana-1586	195	1	res	re	NOUN
cana-1586	195	2	.	.	PROPN
cana-1586	195	3	,	,	PUNCT
cana-1586	195	4	vol.12	vol.12	NOUN
cana-1586	195	5	,	,	PUNCT
cana-1586	195	6	no	no	NOUN
cana-1586	195	7	.	.	NOUN
cana-1586	195	8	16	16	NUM
cana-1586	195	9	,	,	PUNCT
cana-1586	195	10	pp	pp	CCONJ
cana-1586	195	11	:	:	PUNCT
cana-1586	195	12	5894	5894	NUM
cana-1586	195	13	-	-	SYM
cana-1586	195	14	5899,2017	5899,2017	NUM
cana-1586	195	15	.	.	PUNCT
cana-1586	196	1	[	[	X
cana-1586	196	2	9	9	NUM
cana-1586	196	3	]	]	SYM
cana-1586	196	4	shuker	shuker	NOUN
cana-1586	196	5	mahmood	mahmood	PROPN
cana-1586	196	6	khalil	khalil	PROPN
cana-1586	196	7	,	,	PUNCT
cana-1586	196	8	nadia	nadia	PROPN
cana-1586	196	9	m.ali	m.ali	PROPN
cana-1586	196	10	abbas	abbas	PROPN
cana-1586	196	11	,	,	PUNCT
cana-1586	196	12	”	"	PUNCT
cana-1586	196	13	on	on	ADP
cana-1586	196	14	nano	nano	NOUN
cana-1586	196	15	with	with	ADP
cana-1586	196	16	their	their	PRON
cana-1586	196	17	applications	application	NOUN
cana-1586	196	18	in	in	ADP
cana-1586	196	19	medical	medical	ADJ
cana-1586	196	20	field	field	NOUN
cana-1586	196	21	”	"	PUNCT
cana-1586	196	22	,	,	PUNCT
cana-1586	196	23	aip	aip	PROPN
cana-1586	196	24	conference	conference	NOUN
cana-1586	196	25	proceedings	proceeding	NOUN
cana-1586	196	26	,	,	PUNCT
cana-1586	196	27	dec	dec	PROPN
cana-1586	196	28	04	04	NUM
cana-1586	196	29	,	,	PUNCT
cana-1586	196	30	2290(1):40002,2020	2290(1):40002,2020	NUM
cana-1586	196	31	.	.	PUNCT
cana-1586	197	1	[	[	X
cana-1586	197	2	10	10	NUM
cana-1586	197	3	]	]	X
cana-1586	197	4	jeevitha.r	jeevitha.r	NOUN
cana-1586	197	5	,	,	PUNCT
cana-1586	197	6	sangeetha.m	sangeetha.m	PROPN
cana-1586	197	7	,	,	PUNCT
cana-1586	197	8	kannaki.s	kannaki.	VERB
cana-1586	197	9	,	,	PUNCT
cana-1586	197	10	and	and	CCONJ
cana-1586	197	11	vidhya.d	vidhya.d	NOUN
cana-1586	197	12	,	,	PUNCT
cana-1586	197	13	“	"	PUNCT
cana-1586	197	14	an	an	DET
cana-1586	197	15	application	application	NOUN
cana-1586	197	16	of	of	ADP
cana-1586	197	17	nano	nano	NOUN
cana-1586	197	18	topological	topological	ADJ
cana-1586	197	19	spaces	space	NOUN
cana-1586	197	20	with	with	ADP
cana-1586	197	21	decision	decision	NOUN
cana-1586	197	22	making	make	VERB
cana-1586	197	23	problem	problem	NOUN
cana-1586	197	24	in	in	ADP
cana-1586	197	25	medical	medical	ADJ
cana-1586	197	26	field	field	NOUN
cana-1586	197	27	”	"	PUNCT
cana-1586	197	28	,	,	PUNCT
cana-1586	197	29	turkish	turkish	ADJ
cana-1586	197	30	jour	jour	X
cana-1586	197	31	.	.	PROPN
cana-1586	197	32	of	of	ADP
cana-1586	197	33	comp	comp	PROPN
cana-1586	197	34	.	.	PUNCT
cana-1586	198	1	and	and	CCONJ
cana-1586	198	2	mathe	mathe	PROPN
cana-1586	198	3	.	.	PUNCT
cana-1586	199	1	education	education	NOUN
cana-1586	199	2	vol.12	vol.12	NOUN
cana-1586	199	3	,	,	PUNCT
cana-1586	199	4	no.9	no.9	PROPN
cana-1586	199	5	,	,	PUNCT
cana-1586	199	6	pp	pp	CCONJ
cana-1586	199	7	:	:	PUNCT
cana-1586	199	8	975	975	NUM
cana-1586	199	9	-	-	PUNCT
cana-1586	199	10	978,2021	978,2021	NUM
cana-1586	199	11	.	.	PUNCT
cana-1586	200	1	[	[	X
cana-1586	200	2	11	11	NUM
cana-1586	200	3	]	]	X
cana-1586	200	4	purva	purva	PROPN
cana-1586	200	5	rajwade	rajwade	PROPN
cana-1586	200	6	,	,	PUNCT
cana-1586	200	7	rachna	rachna	VERB
cana-1586	200	8	navalakhe	navalakhe	ADJ
cana-1586	200	9	and	and	CCONJ
cana-1586	200	10	vaibhav	vaibhav	NOUN
cana-1586	200	11	jain	jain	NOUN
cana-1586	200	12	,	,	PUNCT
cana-1586	200	13	“	"	PUNCT
cana-1586	200	14	nano	nano	NOUN
cana-1586	200	15	generalised	generalise	VERB
cana-1586	200	16	fuzzy	fuzzy	ADJ
cana-1586	200	17	semiopen	semiopen	ADJ
cana-1586	200	18	sets	set	NOUN
cana-1586	200	19	and	and	CCONJ
cana-1586	200	20	nano	nano	NOUN
cana-1586	200	21	fuzzy	fuzzy	ADJ
cana-1586	200	22	beta	beta	NOUN
cana-1586	200	23	-	-	PUNCT
cana-1586	200	24	open	open	ADJ
cana-1586	200	25	sets	set	NOUN
cana-1586	200	26	in	in	ADP
cana-1586	200	27	nano	nano	ADJ
cana-1586	200	28	fuzzy	fuzzy	ADJ
cana-1586	200	29	topological	topological	ADJ
cana-1586	200	30	spaces	space	NOUN
cana-1586	200	31	,	,	PUNCT
cana-1586	200	32	ganita	ganita	NOUN
cana-1586	200	33	,	,	PUNCT
cana-1586	200	34	vol	vol	NOUN
cana-1586	200	35	.	.	PROPN
cana-1586	200	36	72	72	NUM
cana-1586	200	37	,	,	PUNCT
cana-1586	200	38	no.1	no.1	NOUN
cana-1586	200	39	pp:285	pp:285	NOUN
cana-1586	200	40	-	-	SYM
cana-1586	200	41	289	289	NUM
cana-1586	200	42	,	,	PUNCT
cana-1586	200	43	2022	2022	NUM
cana-1586	200	44	.	.	PUNCT