id	sid	tid	token	lemma	pos
cana-5933	1	1	communications	communication	NOUN
cana-5933	1	2	on	on	ADP
cana-5933	1	3	applied	apply	VERB
cana-5933	1	4	nonlinear	nonlinear	ADJ
cana-5933	1	5	analysis	analysis	NOUN
cana-5933	1	6	issn	issn	NOUN
cana-5933	1	7	:	:	PUNCT
cana-5933	1	8	1074	1074	NUM
cana-5933	1	9	-	-	PUNCT
cana-5933	1	10	133x	133x	NUM
cana-5933	1	11	vol	vol	VERB
cana-5933	1	12	32	32	NUM
cana-5933	1	13	no	no	NOUN
cana-5933	1	14	.	.	PUNCT
cana-5933	2	1	10s	10	NOUN
cana-5933	2	2	(	(	PUNCT
cana-5933	2	3	2025	2025	NUM
cana-5933	2	4	)	)	PUNCT
cana-5933	2	5	3135	3135	NUM
cana-5933	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	2	7	necessity	necessity	NOUN
cana-5933	2	8	modality	modality	NOUN
cana-5933	2	9	and	and	CCONJ
cana-5933	2	10	basic	basic	ADJ
cana-5933	2	11	operators	operator	NOUN
cana-5933	2	12	on	on	ADP
cana-5933	2	13	intuitionistic	intuitionistic	ADJ
cana-5933	2	14	fuzzy	fuzzy	ADJ
cana-5933	2	15	matrices	matrix	NOUN
cana-5933	2	16	s.	s.	PROPN
cana-5933	2	17	senthilkumar1	senthilkumar1	PROPN
cana-5933	2	18	,	,	PUNCT
cana-5933	2	19	c.	c.	PROPN
cana-5933	2	20	ragavan1	ragavan1	PROPN
cana-5933	2	21	*	*	PUNCT
cana-5933	3	1	sssvm86@gmail.com	sssvm86@gmail.com	X
cana-5933	3	2	,	,	PUNCT
cana-5933	3	3	ragavanshana@gmail.com	ragavanshana@gmail.com	X
cana-5933	3	4	1department	1department	NUM
cana-5933	3	5	of	of	ADP
cana-5933	3	6	mathematics	mathematic	NOUN
cana-5933	3	7	,	,	PUNCT
cana-5933	3	8	sri	sri	PROPN
cana-5933	3	9	vidya	vidya	PROPN
cana-5933	3	10	mandir	mandir	PROPN
cana-5933	3	11	arts	arts	PROPN
cana-5933	3	12	&	&	CCONJ
cana-5933	3	13	science	science	PROPN
cana-5933	3	14	college	college	PROPN
cana-5933	3	15	(	(	PUNCT
cana-5933	3	16	autonomous	autonomous	ADJ
cana-5933	3	17	)	)	PUNCT
cana-5933	3	18	,	,	PUNCT
cana-5933	3	19	katteri	katteri	PROPN
cana-5933	3	20	–	–	PUNCT
cana-5933	3	21	636	636	NUM
cana-5933	3	22	902	902	NUM
cana-5933	3	23	,	,	PUNCT
cana-5933	3	24	uthangarai	uthangarai	PROPN
cana-5933	3	25	,	,	PUNCT
cana-5933	3	26	krishnagiri	krishnagiri	PROPN
cana-5933	3	27	,	,	PUNCT
cana-5933	3	28	tamilnadu	tamilnadu	ADJ
cana-5933	3	29	,	,	PUNCT
cana-5933	3	30	india	india	PROPN
cana-5933	3	31	article	article	PROPN
cana-5933	3	32	history	history	NOUN
cana-5933	3	33	:	:	PUNCT
cana-5933	3	34	received	receive	VERB
cana-5933	3	35	:	:	PUNCT
cana-5933	3	36	02	02	NUM
cana-5933	3	37	-	-	PUNCT
cana-5933	3	38	01	01	NUM
cana-5933	3	39	-	-	PUNCT
cana-5933	3	40	2025	2025	NUM
cana-5933	3	41	revised	revise	VERB
cana-5933	3	42	:	:	PUNCT
cana-5933	3	43	25	25	NUM
cana-5933	3	44	-	-	PUNCT
cana-5933	3	45	02	02	NUM
cana-5933	3	46	-	-	PUNCT
cana-5933	3	47	2025	2025	NUM
cana-5933	3	48	accepted	accept	VERB
cana-5933	3	49	:	:	PUNCT
cana-5933	3	50	20	20	NUM
cana-5933	3	51	-	-	SYM
cana-5933	3	52	03	03	NUM
cana-5933	3	53	-	-	PUNCT
cana-5933	3	54	2025	2025	NUM
cana-5933	3	55	abstract	abstract	NOUN
cana-5933	3	56	:	:	PUNCT
cana-5933	3	57	in	in	ADP
cana-5933	3	58	this	this	DET
cana-5933	3	59	paper	paper	NOUN
cana-5933	3	60	,	,	PUNCT
cana-5933	3	61	we	we	PRON
cana-5933	3	62	have	have	AUX
cana-5933	3	63	verified	verify	VERB
cana-5933	3	64	the	the	DET
cana-5933	3	65	necessity	necessity	NOUN
cana-5933	3	66	operator	operator	NOUN
cana-5933	3	67	along	along	ADP
cana-5933	3	68	with	with	ADP
cana-5933	3	69	eight	eight	NUM
cana-5933	3	70	basic	basic	ADJ
cana-5933	3	71	operations	operation	NOUN
cana-5933	3	72	on	on	ADP
cana-5933	3	73	intuitionistic	intuitionistic	ADJ
cana-5933	3	74	fuzzy	fuzzy	ADJ
cana-5933	3	75	matrices	matrix	NOUN
cana-5933	3	76	,	,	PUNCT
cana-5933	3	77	and	and	CCONJ
cana-5933	3	78	their	their	PRON
cana-5933	3	79	related	related	ADJ
cana-5933	3	80	properties	property	NOUN
cana-5933	3	81	have	have	AUX
cana-5933	3	82	been	be	AUX
cana-5933	3	83	proved	prove	VERB
cana-5933	3	84	.	.	PUNCT
cana-5933	4	1	keywords	keyword	NOUN
cana-5933	4	2	:	:	PUNCT
cana-5933	4	3	necessity	necessity	NOUN
cana-5933	4	4	modal	modal	NOUN
cana-5933	4	5	operator	operator	NOUN
cana-5933	4	6	,	,	PUNCT
cana-5933	4	7	intuitionistic	intuitionistic	ADJ
cana-5933	4	8	fuzzy	fuzzy	ADJ
cana-5933	4	9	sets	set	NOUN
cana-5933	4	10	intuitionistic	intuitionistic	ADJ
cana-5933	4	11	fuzzy	fuzzy	ADJ
cana-5933	4	12	matrices	matrix	NOUN
cana-5933	4	13	,	,	PUNCT
cana-5933	4	14	fuzzy	fuzzy	ADJ
cana-5933	4	15	set	set	NOUN
cana-5933	4	16	,	,	PUNCT
cana-5933	4	17	fuzzy	fuzzy	ADJ
cana-5933	4	18	matrices	matrix	NOUN
cana-5933	4	19	,	,	PUNCT
cana-5933	4	20	basic	basic	ADJ
cana-5933	4	21	relations	relation	NOUN
cana-5933	4	22	and	and	CCONJ
cana-5933	4	23	operations	operation	NOUN
cana-5933	4	24	on	on	ADP
cana-5933	4	25	the	the	DET
cana-5933	4	26	intuitionistic	intuitionistic	ADJ
cana-5933	4	27	fuzzy	fuzzy	ADJ
cana-5933	4	28	matrices	matrix	NOUN
cana-5933	4	29	.	.	PUNCT
cana-5933	5	1	ams	am	NOUN
cana-5933	5	2	classification	classification	NOUN
cana-5933	5	3	:	:	PUNCT
cana-5933	5	4	03e99	03e99	NUM
cana-5933	5	5	,	,	PUNCT
cana-5933	5	6	05c25	05c25	NUM
cana-5933	5	7	,	,	PUNCT
cana-5933	5	8	08a72	08a72	NUM
cana-5933	5	9	1	1	NUM
cana-5933	5	10	.	.	PUNCT
cana-5933	6	1	introduction	introduction	NOUN
cana-5933	6	2	:	:	PUNCT
cana-5933	6	3	afshar	afshar	ADJ
cana-5933	6	4	alam	alam	PROPN
cana-5933	6	5	and	and	CCONJ
cana-5933	6	6	sharfuddin	sharfuddin	VERB
cana-5933	6	7	ahmad	ahmad	NOUN
cana-5933	7	1	[	[	X
cana-5933	7	2	1	1	X
cana-5933	7	3	]	]	PUNCT
cana-5933	7	4	discussed	discuss	VERB
cana-5933	7	5	the	the	DET
cana-5933	7	6	normalization	normalization	NOUN
cana-5933	7	7	of	of	ADP
cana-5933	7	8	intuitionistic	intuitionistic	ADJ
cana-5933	7	9	fuzzy	fuzzy	ADJ
cana-5933	7	10	relations	relation	NOUN
cana-5933	7	11	in	in	ADP
cana-5933	7	12	the	the	DET
cana-5933	7	13	year	year	NOUN
cana-5933	7	14	2004	2004	NUM
cana-5933	7	15	.	.	PUNCT
cana-5933	8	1	alpana	alpana	PROPN
cana-5933	8	2	sharma	sharma	PROPN
cana-5933	9	1	[	[	X
cana-5933	9	2	2	2	NUM
cana-5933	9	3	]	]	PUNCT
cana-5933	9	4	introduced	introduce	VERB
cana-5933	9	5	by	by	ADP
cana-5933	9	6	fuzzy	fuzzy	ADJ
cana-5933	9	7	logic	logic	NOUN
cana-5933	9	8	and	and	CCONJ
cana-5933	9	9	its	its	PRON
cana-5933	9	10	application	application	NOUN
cana-5933	9	11	in	in	ADP
cana-5933	9	12	real	real	ADJ
cana-5933	9	13	life	life	NOUN
cana-5933	9	14	in	in	ADP
cana-5933	9	15	the	the	DET
cana-5933	9	16	year	year	NOUN
cana-5933	9	17	2020	2020	NUM
cana-5933	9	18	.	.	PUNCT
cana-5933	10	1	amrita	amrita	PROPN
cana-5933	10	2	sarkar	sarkar	PROPN
cana-5933	10	3	and	and	CCONJ
cana-5933	10	4	u.	u.	PROPN
cana-5933	10	5	c.	c.	PROPN
cana-5933	10	6	sahoo	sahoo	PROPN
cana-5933	11	1	[	[	X
cana-5933	11	2	3	3	NUM
cana-5933	11	3	]	]	PUNCT
cana-5933	11	4	are	be	AUX
cana-5933	11	5	studying	study	VERB
cana-5933	11	6	application	application	NOUN
cana-5933	11	7	of	of	ADP
cana-5933	11	8	fuzzy	fuzzy	ADJ
cana-5933	11	9	logic	logic	NOUN
cana-5933	11	10	in	in	ADP
cana-5933	11	11	transport	transport	NOUN
cana-5933	11	12	planning	planning	NOUN
cana-5933	11	13	this	this	DET
cana-5933	11	14	year	year	NOUN
cana-5933	11	15	2012	2012	NUM
cana-5933	11	16	.	.	PUNCT
cana-5933	12	1	i.	i.	PROPN
cana-5933	12	2	m.	m.	PROPN
cana-5933	12	3	adamu	adamu	PROPN
cana-5933	13	1	[	[	X
cana-5933	13	2	4	4	X
cana-5933	13	3	]	]	PUNCT
cana-5933	13	4	presented	present	VERB
cana-5933	13	5	the	the	DET
cana-5933	13	6	application	application	NOUN
cana-5933	13	7	of	of	ADP
cana-5933	13	8	intuitionistic	intuitionistic	ADJ
cana-5933	13	9	fuzzy	fuzzy	ADJ
cana-5933	13	10	sets	set	NOUN
cana-5933	13	11	to	to	ADP
cana-5933	13	12	environmental	environmental	ADJ
cana-5933	13	13	management	management	NOUN
cana-5933	13	14	in	in	ADP
cana-5933	13	15	the	the	DET
cana-5933	13	16	year	year	NOUN
cana-5933	13	17	2021	2021	NUM
cana-5933	13	18	.	.	PUNCT
cana-5933	14	1	m.	m.	NOUN
cana-5933	14	2	asghari	asghari	ADJ
cana-5933	14	3	-	-	PUNCT
cana-5933	14	4	larimi	larimi	PROPN
cana-5933	14	5	[	[	X
cana-5933	14	6	5	5	NUM
cana-5933	14	7	]	]	PUNCT
cana-5933	14	8	studied	study	VERB
cana-5933	14	9	upper	upper	ADJ
cana-5933	14	10	and	and	CCONJ
cana-5933	14	11	lower	low	ADJ
cana-5933	14	12	(	(	PUNCT
cana-5933	14	13	α	α	NOUN
cana-5933	14	14	,	,	PUNCT
cana-5933	14	15	β	β	NOUN
cana-5933	14	16	)	)	PUNCT
cana-5933	14	17	intuitionistic	intuitionistic	ADJ
cana-5933	14	18	fuzzy	fuzzy	ADJ
cana-5933	14	19	set	set	NOUN
cana-5933	14	20	in	in	ADP
cana-5933	14	21	the	the	DET
cana-5933	14	22	year	year	NOUN
cana-5933	14	23	2012	2012	NUM
cana-5933	14	24	.	.	PUNCT
cana-5933	15	1	cengiz	cengiz	PROPN
cana-5933	15	2	kahraman	kahraman	PROPN
cana-5933	15	3	,	,	PUNCT
cana-5933	15	4	murat	murat	PROPN
cana-5933	15	5	gulbay	gulbay	PROPN
cana-5933	15	6	and	and	CCONJ
cana-5933	15	7	ozgur	ozgur	PROPN
cana-5933	15	8	kabak	kabak	PROPN
cana-5933	16	1	[	[	X
cana-5933	16	2	6	6	NUM
cana-5933	16	3	]	]	PUNCT
cana-5933	16	4	are	be	AUX
cana-5933	16	5	proposed	propose	VERB
cana-5933	16	6	by	by	ADP
cana-5933	16	7	applications	application	NOUN
cana-5933	16	8	of	of	ADP
cana-5933	16	9	fuzzy	fuzzy	ADJ
cana-5933	16	10	sets	set	NOUN
cana-5933	16	11	in	in	ADP
cana-5933	16	12	industrial	industrial	ADJ
cana-5933	16	13	engineering	engineering	NOUN
cana-5933	16	14	:	:	PUNCT
cana-5933	16	15	a	a	DET
cana-5933	16	16	topical	topical	ADJ
cana-5933	16	17	classification	classification	NOUN
cana-5933	16	18	was	be	AUX
cana-5933	16	19	this	this	DET
cana-5933	16	20	year	year	NOUN
cana-5933	16	21	2006	2006	NUM
cana-5933	16	22	.	.	PUNCT
cana-5933	17	1	christophe	christophe	PROPN
cana-5933	17	2	marsala	marsala	PROPN
cana-5933	18	1	[	[	X
cana-5933	18	2	7	7	X
cana-5933	18	3	]	]	PUNCT
cana-5933	18	4	showed	show	VERB
cana-5933	18	5	by	by	ADP
cana-5933	18	6	building	build	VERB
cana-5933	18	7	intuitionistic	intuitionistic	ADJ
cana-5933	18	8	fuzzy	fuzzy	ADJ
cana-5933	18	9	sets	set	NOUN
cana-5933	18	10	in	in	ADP
cana-5933	18	11	machine	machine	NOUN
cana-5933	18	12	learning	learn	VERB
cana-5933	18	13	this	this	DET
cana-5933	18	14	year	year	NOUN
cana-5933	18	15	2021	2021	NUM
cana-5933	18	16	.	.	PUNCT
cana-5933	19	1	n.	n.	PROPN
cana-5933	19	2	deva	deva	PROPN
cana-5933	19	3	and	and	CCONJ
cana-5933	19	4	a.	a.	PROPN
cana-5933	19	5	felix	felix	PROPN
cana-5933	20	1	[	[	X
cana-5933	20	2	8	8	NUM
cana-5933	20	3	]	]	PUNCT
cana-5933	20	4	are	be	AUX
cana-5933	20	5	writing	write	VERB
cana-5933	20	6	on	on	ADP
cana-5933	20	7	bipolar	bipolar	ADJ
cana-5933	20	8	intuitionistic	intuitionistic	ADJ
cana-5933	20	9	fuzzy	fuzzy	ADJ
cana-5933	20	10	matrices	matrix	NOUN
cana-5933	20	11	and	and	CCONJ
cana-5933	20	12	its	its	PRON
cana-5933	20	13	determinants	determinant	NOUN
cana-5933	20	14	in	in	ADP
cana-5933	20	15	the	the	DET
cana-5933	20	16	year	year	NOUN
cana-5933	20	17	2024	2024	NUM
cana-5933	20	18	.	.	PUNCT
cana-5933	21	1	a.	a.	PROPN
cana-5933	21	2	de	de	PROPN
cana-5933	21	3	luca	luca	PROPN
cana-5933	21	4	and	and	CCONJ
cana-5933	21	5	s.	s.	PROPN
cana-5933	21	6	termini	termini	PROPN
cana-5933	22	1	[	[	X
cana-5933	22	2	9	9	NUM
cana-5933	22	3	]	]	PUNCT
cana-5933	22	4	were	be	AUX
cana-5933	22	5	given	give	VERB
cana-5933	22	6	algebraic	algebraic	ADJ
cana-5933	22	7	properties	property	NOUN
cana-5933	22	8	of	of	ADP
cana-5933	22	9	fuzzy	fuzzy	ADJ
cana-5933	22	10	sets	set	NOUN
cana-5933	22	11	in	in	ADP
cana-5933	22	12	that	that	DET
cana-5933	22	13	year	year	NOUN
cana-5933	22	14	,	,	PUNCT
cana-5933	22	15	1972	1972	NUM
cana-5933	22	16	.	.	PUNCT
cana-5933	23	1	p.	p.	NOUN
cana-5933	23	2	a.	a.	NOUN
cana-5933	23	3	ejegwa	ejegwa	PROPN
cana-5933	23	4	and	and	CCONJ
cana-5933	23	5	s.o	s.o	PROPN
cana-5933	23	6	.	.	PROPN
cana-5933	23	7	akowe	akowe	PROPN
cana-5933	24	1	[	[	X
cana-5933	24	2	10	10	NUM
cana-5933	24	3	]	]	PUNCT
cana-5933	24	4	are	be	AUX
cana-5933	24	5	carrying	carry	VERB
cana-5933	24	6	out	out	ADP
cana-5933	24	7	an	an	DET
cana-5933	24	8	overview	overview	NOUN
cana-5933	24	9	on	on	ADP
cana-5933	24	10	intuitionistic	intuitionistic	ADJ
cana-5933	24	11	fuzzy	fuzzy	ADJ
cana-5933	24	12	sets	set	NOUN
cana-5933	24	13	this	this	DET
cana-5933	24	14	year	year	NOUN
cana-5933	24	15	2014	2014	NUM
cana-5933	24	16	.	.	PUNCT
cana-5933	25	1	p.	p.	NOUN
cana-5933	25	2	a.	a.	NOUN
cana-5933	25	3	ejegwa	ejegwa	PROPN
cana-5933	25	4	,	,	PUNCT
cana-5933	25	5	a.	a.	PROPN
cana-5933	25	6	j.	j.	PROPN
cana-5933	25	7	akubo	akubo	PROPN
cana-5933	25	8	and	and	CCONJ
cana-5933	25	9	o.	o.	PROPN
cana-5933	25	10	m.	m.	NOUN
cana-5933	25	11	joshua	joshua	PROPN
cana-5933	26	1	[	[	X
cana-5933	26	2	11	11	NUM
cana-5933	26	3	]	]	PUNCT
cana-5933	26	4	were	be	AUX
cana-5933	26	5	proposed	propose	VERB
cana-5933	26	6	by	by	ADP
cana-5933	26	7	intuitionistic	intuitionistic	ADJ
cana-5933	26	8	fuzzy	fuzzy	ADJ
cana-5933	26	9	set	set	NOUN
cana-5933	26	10	and	and	CCONJ
cana-5933	26	11	its	its	PRON
cana-5933	26	12	application	application	NOUN
cana-5933	26	13	this	this	DET
cana-5933	26	14	year	year	NOUN
cana-5933	26	15	2014	2014	NUM
cana-5933	26	16	.	.	PUNCT
cana-5933	27	1	p.	p.	NOUN
cana-5933	27	2	a.	a.	NOUN
cana-5933	27	3	ejegwa	ejegwa	PROPN
cana-5933	28	1	[	[	X
cana-5933	28	2	12	12	NUM
cana-5933	28	3	]	]	PUNCT
cana-5933	28	4	introduced	introduce	VERB
cana-5933	28	5	the	the	DET
cana-5933	28	6	intuitionistic	intuitionistic	ADJ
cana-5933	28	7	fuzzy	fuzzy	ADJ
cana-5933	28	8	sets	set	NOUN
cana-5933	28	9	approach	approach	NOUN
cana-5933	28	10	to	to	ADP
cana-5933	28	11	appointment	appointment	NOUN
cana-5933	28	12	of	of	ADP
cana-5933	28	13	positions	position	NOUN
cana-5933	28	14	in	in	ADP
cana-5933	28	15	an	an	DET
cana-5933	28	16	organization	organization	NOUN
cana-5933	28	17	via	via	ADP
cana-5933	28	18	the	the	DET
cana-5933	28	19	max	max	PROPN
cana-5933	28	20	-	-	PUNCT
cana-5933	28	21	min	min	PROPN
cana-5933	28	22	-	-	ADJ
cana-5933	28	23	max	max	PROPN
cana-5933	28	24	rule	rule	NOUN
cana-5933	28	25	2015	2015	NUM
cana-5933	28	26	this	this	DET
cana-5933	28	27	year	year	NOUN
cana-5933	28	28	.	.	PUNCT
cana-5933	29	1	florentin	florentin	PROPN
cana-5933	29	2	smarandache	smarandache	NOUN
cana-5933	29	3	[	[	X
cana-5933	29	4	13	13	NUM
cana-5933	29	5	]	]	PUNCT
cana-5933	29	6	proposed	propose	VERB
cana-5933	29	7	the	the	DET
cana-5933	29	8	neutrosophic	neutrosophic	ADJ
cana-5933	29	9	set	set	NOUN
cana-5933	29	10	–	–	PUNCT
cana-5933	29	11	a	a	DET
cana-5933	29	12	generalization	generalization	NOUN
cana-5933	29	13	of	of	ADP
cana-5933	29	14	the	the	DET
cana-5933	29	15	intuitionistic	intuitionistic	ADJ
cana-5933	29	16	fuzzy	fuzzy	ADJ
cana-5933	29	17	set	set	VERB
cana-5933	29	18	2010	2010	NUM
cana-5933	29	19	this	this	DET
cana-5933	29	20	year	year	NOUN
cana-5933	29	21	.	.	PUNCT
cana-5933	30	1	harpreet	harpreet	PROPN
cana-5933	30	2	singh	singh	PROPN
cana-5933	30	3	,	,	PUNCT
cana-5933	30	4	madan	madan	PROPN
cana-5933	30	5	m.	m.	PROPN
cana-5933	30	6	gupta	gupta	PROPN
cana-5933	30	7	and	and	CCONJ
cana-5933	30	8	thomas	thomas	PROPN
cana-5933	30	9	meitzler	meitzler	NOUN
cana-5933	31	1	[	[	X
cana-5933	31	2	14	14	NUM
cana-5933	31	3	]	]	PUNCT
cana-5933	31	4	introduced	introduce	VERB
cana-5933	31	5	the	the	DET
cana-5933	31	6	real	real	ADJ
cana-5933	31	7	-	-	PUNCT
cana-5933	31	8	life	life	NOUN
cana-5933	31	9	applications	application	NOUN
cana-5933	31	10	of	of	ADP
cana-5933	31	11	fuzzy	fuzzy	ADJ
cana-5933	31	12	logic	logic	NOUN
cana-5933	31	13	2013	2013	NUM
cana-5933	31	14	this	this	DET
cana-5933	31	15	year	year	NOUN
cana-5933	31	16	.	.	PUNCT
cana-5933	32	1	hemlata	hemlata	PROPN
cana-5933	32	2	aggarwal	aggarwal	PROPN
cana-5933	32	3	and	and	CCONJ
cana-5933	32	4	h.d	h.d	PROPN
cana-5933	32	5	.	.	PROPN
cana-5933	32	6	arora	arora	PROPN
cana-5933	33	1	[	[	X
cana-5933	33	2	15	15	NUM
cana-5933	33	3	]	]	PUNCT
cana-5933	33	4	developed	develop	VERB
cana-5933	33	5	a	a	DET
cana-5933	33	6	decision	decision	NOUN
cana-5933	33	7	-	-	PUNCT
cana-5933	33	8	making	make	VERB
cana-5933	33	9	problem	problem	NOUN
cana-5933	33	10	as	as	ADP
cana-5933	33	11	an	an	DET
cana-5933	33	12	application	application	NOUN
cana-5933	33	13	of	of	ADP
cana-5933	33	14	intuitionistic	intuitionistic	ADJ
cana-5933	33	15	fuzzy	fuzzy	ADJ
cana-5933	33	16	set	set	VERB
cana-5933	33	17	application	application	NOUN
cana-5933	33	18	this	this	DET
cana-5933	33	19	year	year	NOUN
cana-5933	33	20	.	.	PUNCT
cana-5933	34	1	p.	p.	NOUN
cana-5933	34	2	jenita	jenita	PROPN
cana-5933	35	1	and	and	CCONJ
cana-5933	35	2	e.	e.	PROPN
cana-5933	35	3	karuppusamy	karuppusamy	PROPN
cana-5933	36	1	[	[	X
cana-5933	36	2	16	16	NUM
cana-5933	36	3	]	]	PUNCT
cana-5933	36	4	are	be	AUX
cana-5933	36	5	proposing	propose	VERB
cana-5933	36	6	fuzzy	fuzzy	ADJ
cana-5933	36	7	relational	relational	ADJ
cana-5933	36	8	equations	equation	NOUN
cana-5933	36	9	of	of	ADP
cana-5933	36	10	k	k	PROPN
cana-5933	36	11	regular	regular	ADJ
cana-5933	36	12	intuitionistic	intuitionistic	ADJ
cana-5933	36	13	fuzzy	fuzzy	ADJ
cana-5933	36	14	and	and	CCONJ
cana-5933	36	15	block	block	VERB
cana-5933	36	16	fuzzy	fuzzy	ADJ
cana-5933	36	17	matrices	matrix	NOUN
cana-5933	36	18	this	this	DET
cana-5933	36	19	year	year	NOUN
cana-5933	36	20	2017	2017	NUM
cana-5933	36	21	.	.	PUNCT
cana-5933	37	1	jeevaraj	jeevaraj	PROPN
cana-5933	37	2	selvaraj	selvaraj	PROPN
cana-5933	37	3	and	and	CCONJ
cana-5933	37	4	abhijit	abhijit	PROPN
cana-5933	37	5	majumdar	majumdar	PROPN
cana-5933	38	1	[	[	X
cana-5933	38	2	17	17	NUM
cana-5933	38	3	]	]	PUNCT
cana-5933	38	4	proposed	propose	VERB
cana-5933	38	5	a	a	DET
cana-5933	38	6	new	new	ADJ
cana-5933	38	7	ranking	ranking	NOUN
cana-5933	38	8	method	method	NOUN
cana-5933	38	9	for	for	ADP
cana-5933	38	10	interval	interval	NOUN
cana-5933	38	11	-	-	PUNCT
cana-5933	38	12	valued	value	VERB
cana-5933	38	13	intuitionistic	intuitionistic	ADJ
cana-5933	38	14	fuzzy	fuzzy	ADJ
cana-5933	38	15	numbers	number	NOUN
cana-5933	38	16	and	and	CCONJ
cana-5933	38	17	its	its	PRON
cana-5933	38	18	application	application	NOUN
cana-5933	38	19	in	in	ADP
cana-5933	38	20	multi	multi	ADJ
cana-5933	38	21	-	-	ADJ
cana-5933	38	22	criteria	criterion	NOUN
cana-5933	38	23	decision	decision	NOUN
cana-5933	38	24	-	-	PUNCT
cana-5933	38	25	making	making	NOUN
cana-5933	38	26	this	this	DET
cana-5933	38	27	year	year	NOUN
cana-5933	38	28	2021	2021	NUM
cana-5933	38	29	.	.	PUNCT
cana-5933	39	1	javaid	javaid	PROPN
cana-5933	39	2	ahmad	ahmad	PROPN
cana-5933	39	3	shah	shah	PROPN
cana-5933	39	4	[	[	X
cana-5933	39	5	18	18	NUM
cana-5933	39	6	]	]	PUNCT
cana-5933	39	7	presented	present	VERB
cana-5933	39	8	in	in	ADP
cana-5933	39	9	fuzzy	fuzzy	ADJ
cana-5933	39	10	matrix	matrix	NOUN
cana-5933	39	11	theory	theory	NOUN
cana-5933	39	12	based	base	VERB
cana-5933	39	13	decision	decision	NOUN
cana-5933	39	14	-	-	PUNCT
cana-5933	39	15	making	making	NOUN
cana-5933	39	16	for	for	ADP
cana-5933	39	17	machine	machine	NOUN
cana-5933	39	18	learning	learn	VERB
cana-5933	39	19	this	this	DET
cana-5933	39	20	year	year	NOUN
cana-5933	39	21	2022	2022	NUM
cana-5933	39	22	.	.	PUNCT
cana-5933	40	1	krassimir	krassimir	PROPN
cana-5933	40	2	t.	t.	PROPN
cana-5933	40	3	atanassov	atanassov	PROPN
cana-5933	41	1	[	[	X
cana-5933	41	2	19	19	NUM
cana-5933	41	3	]	]	PUNCT
cana-5933	41	4	gave	give	VERB
cana-5933	41	5	an	an	DET
cana-5933	41	6	intuitionistic	intuitionistic	ADJ
cana-5933	41	7	fuzzy	fuzzy	ADJ
cana-5933	41	8	set	set	NOUN
cana-5933	41	9	that	that	DET
cana-5933	41	10	year	year	NOUN
cana-5933	41	11	,	,	PUNCT
cana-5933	41	12	1986	1986	NUM
cana-5933	41	13	.	.	PUNCT
cana-5933	42	1	kwang	kwang	PROPN
cana-5933	42	2	h.	h.	PROPN
cana-5933	42	3	lee	lee	PROPN
cana-5933	43	1	[	[	X
cana-5933	43	2	20	20	NUM
cana-5933	43	3	]	]	PUNCT
cana-5933	43	4	introduced	introduce	VERB
cana-5933	43	5	the	the	DET
cana-5933	43	6	fuzzy	fuzzy	ADJ
cana-5933	43	7	theory	theory	NOUN
cana-5933	43	8	and	and	CCONJ
cana-5933	43	9	applications	application	NOUN
cana-5933	43	10	that	that	DET
cana-5933	43	11	year	year	NOUN
cana-5933	43	12	,	,	PUNCT
cana-5933	43	13	2005	2005	NUM
cana-5933	43	14	.	.	PUNCT
cana-5933	44	1	krassimir	krassimir	PROPN
cana-5933	44	2	t.	t.	PROPN
cana-5933	44	3	atanassov	atanassov	PROPN
cana-5933	45	1	[	[	X
cana-5933	45	2	21	21	NUM
cana-5933	45	3	]	]	PUNCT
cana-5933	45	4	was	be	AUX
cana-5933	45	5	defined	define	VERB
cana-5933	45	6	by	by	ADP
cana-5933	45	7	review	review	NOUN
cana-5933	45	8	and	and	CCONJ
cana-5933	45	9	new	new	ADJ
cana-5933	45	10	results	result	NOUN
cana-5933	45	11	on	on	ADP
cana-5933	45	12	intuitionistic	intuitionistic	ADJ
cana-5933	45	13	fuzzy	fuzzy	ADJ
cana-5933	45	14	sets	set	NOUN
cana-5933	45	15	this	this	DET
cana-5933	45	16	year	year	NOUN
cana-5933	45	17	2016	2016	NUM
cana-5933	45	18	.	.	PUNCT
cana-5933	46	1	krassimir	krassimir	PROPN
cana-5933	46	2	t.	t.	PROPN
cana-5933	46	3	atanassov	atanassov	PROPN
cana-5933	47	1	[	[	X
cana-5933	47	2	22	22	NUM
cana-5933	47	3	]	]	PUNCT
cana-5933	47	4	proposed	propose	VERB
cana-5933	47	5	intuitionistic	intuitionistic	ADJ
cana-5933	47	6	fuzzy	fuzzy	ADJ
cana-5933	47	7	sets	set	NOUN
cana-5933	47	8	theory	theory	NOUN
cana-5933	47	9	this	this	DET
cana-5933	47	10	year	year	NOUN
cana-5933	47	11	2012	2012	NUM
cana-5933	47	12	.	.	PUNCT
cana-5933	48	1	lilija	lilija	AUX
cana-5933	48	2	atanassova	atanassova	PROPN
cana-5933	48	3	and	and	CCONJ
cana-5933	48	4	piotr	piotr	PROPN
cana-5933	48	5	dworniczak	dworniczak	NOUN
cana-5933	49	1	[	[	X
cana-5933	49	2	23	23	NUM
cana-5933	49	3	]	]	PUNCT
cana-5933	49	4	were	be	AUX
cana-5933	49	5	introduced	introduce	VERB
cana-5933	49	6	by	by	ADP
cana-5933	49	7	on	on	ADP
cana-5933	49	8	the	the	DET
cana-5933	49	9	operation	operation	NOUN
cana-5933	49	10	over	over	ADP
cana-5933	49	11	intuitionistic	intuitionistic	ADJ
cana-5933	49	12	fuzzy	fuzzy	ADJ
cana-5933	49	13	mailto:sssvm86@gmail.com	mailto:sssvm86@gmail.com	NOUN
cana-5933	49	14	mailto	mailto	PROPN
cana-5933	49	15	:	:	PUNCT
cana-5933	49	16	ragavanshana@gmail.com2	ragavanshana@gmail.com2	PROPN
cana-5933	49	17	communications	communication	NOUN
cana-5933	49	18	on	on	ADP
cana-5933	49	19	applied	apply	VERB
cana-5933	49	20	nonlinear	nonlinear	ADJ
cana-5933	49	21	analysis	analysis	NOUN
cana-5933	49	22	issn	issn	NOUN
cana-5933	49	23	:	:	PUNCT
cana-5933	49	24	1074	1074	NUM
cana-5933	49	25	-	-	PUNCT
cana-5933	49	26	133x	133x	NUM
cana-5933	49	27	vol	vol	VERB
cana-5933	49	28	32	32	NUM
cana-5933	49	29	no	no	NOUN
cana-5933	49	30	.	.	PUNCT
cana-5933	50	1	10s	10	NOUN
cana-5933	50	2	(	(	PUNCT
cana-5933	50	3	2025	2025	NUM
cana-5933	50	4	)	)	PUNCT
cana-5933	50	5	3136	3136	NUM
cana-5933	50	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	50	7	sets	set	VERB
cana-5933	50	8	this	this	DET
cana-5933	50	9	year	year	NOUN
cana-5933	50	10	2021	2021	NUM
cana-5933	50	11	.	.	PUNCT
cana-5933	51	1	li	li	PROPN
cana-5933	51	2	yang	yang	PROPN
cana-5933	52	1	[	[	X
cana-5933	52	2	24	24	NUM
cana-5933	52	3	]	]	PUNCT
cana-5933	52	4	introduced	introduce	VERB
cana-5933	52	5	study	study	NOUN
cana-5933	52	6	on	on	ADP
cana-5933	52	7	fuzzy	fuzzy	ADJ
cana-5933	52	8	mathematics	mathematic	NOUN
cana-5933	52	9	and	and	CCONJ
cana-5933	52	10	its	its	PRON
cana-5933	52	11	applications	application	NOUN
cana-5933	52	12	this	this	DET
cana-5933	52	13	year	year	NOUN
cana-5933	52	14	,	,	PUNCT
cana-5933	52	15	2016	2016	NUM
cana-5933	52	16	.	.	PUNCT
cana-5933	53	1	k.	k.	PROPN
cana-5933	53	2	meena	meena	PROPN
cana-5933	53	3	and	and	CCONJ
cana-5933	53	4	lija	lija	PROPN
cana-5933	53	5	ponnappen	ponnappen	NOUN
cana-5933	53	6	[	[	X
cana-5933	53	7	25	25	NUM
cana-5933	53	8	]	]	PUNCT
cana-5933	53	9	are	be	AUX
cana-5933	53	10	discussing	discuss	VERB
cana-5933	53	11	an	an	DET
cana-5933	53	12	application	application	NOUN
cana-5933	53	13	of	of	ADP
cana-5933	53	14	intuitionistic	intuitionistic	ADJ
cana-5933	53	15	fuzzy	fuzzy	ADJ
cana-5933	53	16	sets	set	NOUN
cana-5933	53	17	in	in	ADP
cana-5933	53	18	choice	choice	NOUN
cana-5933	53	19	of	of	ADP
cana-5933	53	20	discipline	discipline	NOUN
cana-5933	53	21	of	of	ADP
cana-5933	53	22	study	study	NOUN
cana-5933	53	23	this	this	DET
cana-5933	53	24	year	year	NOUN
cana-5933	53	25	2018	2018	NUM
cana-5933	53	26	.	.	PUNCT
cana-5933	54	1	madhumangal	madhumangal	ADJ
cana-5933	54	2	pal	pal	NOUN
cana-5933	54	3	,	,	PUNCT
cana-5933	54	4	susanta	susanta	VERB
cana-5933	54	5	khan	khan	PROPN
cana-5933	54	6	and	and	CCONJ
cana-5933	54	7	amiya	amiya	PROPN
cana-5933	54	8	k.	k.	PROPN
cana-5933	55	1	shaymal	shaymal	PROPN
cana-5933	55	2	[	[	X
cana-5933	55	3	26	26	NUM
cana-5933	55	4	]	]	PUNCT
cana-5933	55	5	studied	study	VERB
cana-5933	55	6	intuitionistic	intuitionistic	ADJ
cana-5933	55	7	fuzzy	fuzzy	ADJ
cana-5933	55	8	matrices	matrix	NOUN
cana-5933	55	9	in	in	ADP
cana-5933	55	10	2002	2002	NUM
cana-5933	55	11	that	that	DET
cana-5933	55	12	year	year	NOUN
cana-5933	55	13	.	.	PUNCT
cana-5933	56	1	t.	t.	PROPN
cana-5933	56	2	muthuraji	muthuraji	PROPN
cana-5933	56	3	and	and	CCONJ
cana-5933	56	4	k.	k.	PROPN
cana-5933	56	5	lalitha	lalitha	PROPN
cana-5933	57	1	[	[	X
cana-5933	57	2	27	27	NUM
cana-5933	57	3	]	]	PUNCT
cana-5933	57	4	have	have	AUX
cana-5933	57	5	written	write	VERB
cana-5933	57	6	about	about	ADP
cana-5933	57	7	some	some	DET
cana-5933	57	8	new	new	ADJ
cana-5933	57	9	operations	operation	NOUN
cana-5933	57	10	and	and	CCONJ
cana-5933	57	11	their	their	PRON
cana-5933	57	12	properties	property	NOUN
cana-5933	57	13	on	on	ADP
cana-5933	57	14	intuitionistic	intuitionistic	ADJ
cana-5933	57	15	fuzzy	fuzzy	ADJ
cana-5933	57	16	matrices	matrix	NOUN
cana-5933	57	17	this	this	DET
cana-5933	57	18	year	year	NOUN
cana-5933	57	19	2017	2017	NUM
cana-5933	57	20	.	.	PUNCT
cana-5933	58	1	mamoni	mamoni	PROPN
cana-5933	58	2	dhar	dhar	PROPN
cana-5933	59	1	[	[	X
cana-5933	59	2	28	28	NUM
cana-5933	59	3	]	]	PUNCT
cana-5933	59	4	was	be	AUX
cana-5933	59	5	proposed	propose	VERB
cana-5933	59	6	in	in	ADP
cana-5933	59	7	a	a	DET
cana-5933	59	8	note	note	NOUN
cana-5933	59	9	on	on	ADP
cana-5933	59	10	fuzzy	fuzzy	ADJ
cana-5933	59	11	relational	relational	ADJ
cana-5933	59	12	matrices	matrix	NOUN
cana-5933	59	13	that	that	DET
cana-5933	59	14	year	year	NOUN
cana-5933	59	15	2013	2013	NUM
cana-5933	59	16	.	.	PUNCT
cana-5933	60	1	madhumangal	madhumangal	ADJ
cana-5933	60	2	pal	pal	NOUN
cana-5933	60	3	and	and	CCONJ
cana-5933	60	4	susanta	susanta	VERB
cana-5933	60	5	k.	k.	PROPN
cana-5933	60	6	khan	khan	PROPN
cana-5933	61	1	[	[	X
cana-5933	61	2	29	29	NUM
cana-5933	61	3	]	]	PUNCT
cana-5933	61	4	were	be	AUX
cana-5933	61	5	given	give	VERB
cana-5933	61	6	interval	interval	NOUN
cana-5933	61	7	-	-	PUNCT
cana-5933	61	8	valued	value	VERB
cana-5933	61	9	intuitionistic	intuitionistic	ADJ
cana-5933	61	10	fuzzy	fuzzy	ADJ
cana-5933	61	11	matrices	matrix	NOUN
cana-5933	61	12	this	this	DET
cana-5933	61	13	year	year	NOUN
cana-5933	61	14	,	,	PUNCT
cana-5933	61	15	2005	2005	NUM
cana-5933	61	16	.	.	PUNCT
cana-5933	62	1	p.	p.	NOUN
cana-5933	62	2	murugadas	murugadas	PROPN
cana-5933	62	3	,	,	PUNCT
cana-5933	62	4	s.	s.	PROPN
cana-5933	62	5	sriram	sriram	PROPN
cana-5933	62	6	and	and	CCONJ
cana-5933	62	7	t.	t.	PROPN
cana-5933	62	8	muthuraji	muthuraji	PROPN
cana-5933	63	1	[	[	X
cana-5933	63	2	30	30	NUM
cana-5933	63	3	]	]	PUNCT
cana-5933	63	4	were	be	AUX
cana-5933	63	5	presented	present	VERB
cana-5933	63	6	in	in	ADP
cana-5933	63	7	modal	modal	ADJ
cana-5933	63	8	operators	operator	NOUN
cana-5933	63	9	in	in	ADP
cana-5933	63	10	intuitionistic	intuitionistic	ADJ
cana-5933	63	11	fuzzy	fuzzy	ADJ
cana-5933	63	12	matrices	matrix	NOUN
cana-5933	63	13	this	this	DET
cana-5933	63	14	year	year	NOUN
cana-5933	63	15	2014	2014	NUM
cana-5933	63	16	.	.	PUNCT
cana-5933	64	1	t.	t.	PROPN
cana-5933	64	2	muthuraji	muthuraji	PROPN
cana-5933	64	3	and	and	CCONJ
cana-5933	64	4	s.	s.	PROPN
cana-5933	64	5	sriram	sriram	PROPN
cana-5933	65	1	[	[	X
cana-5933	65	2	31	31	NUM
cana-5933	65	3	]	]	PUNCT
cana-5933	65	4	are	be	AUX
cana-5933	65	5	introduced	introduce	VERB
cana-5933	65	6	by	by	ADP
cana-5933	65	7	representation	representation	NOUN
cana-5933	65	8	and	and	CCONJ
cana-5933	65	9	decomposition	decomposition	NOUN
cana-5933	65	10	of	of	ADP
cana-5933	65	11	an	an	DET
cana-5933	65	12	intuitionistic	intuitionistic	ADJ
cana-5933	65	13	fuzzy	fuzzy	ADJ
cana-5933	65	14	matrix	matrix	NOUN
cana-5933	65	15	using	use	VERB
cana-5933	65	16	some	some	DET
cana-5933	65	17	(	(	PUNCT
cana-5933	65	18	α	α	NOUN
cana-5933	65	19	)	)	PUNCT
cana-5933	65	20	,	,	PUNCT
cana-5933	65	21	cuts	cut	VERB
cana-5933	65	22	this	this	DET
cana-5933	65	23	year	year	NOUN
cana-5933	65	24	2017	2017	NUM
cana-5933	65	25	.	.	PUNCT
cana-5933	66	1	j.	j.	PROPN
cana-5933	66	2	s.	s.	PROPN
cana-5933	66	3	prasanna	prasanna	PROPN
cana-5933	66	4	and	and	CCONJ
cana-5933	66	5	k.	k.	PROPN
cana-5933	66	6	saravanan	saravanan	PROPN
cana-5933	67	1	[	[	X
cana-5933	67	2	32	32	NUM
cana-5933	67	3	]	]	PUNCT
cana-5933	67	4	is	be	AUX
cana-5933	67	5	defined	define	VERB
cana-5933	67	6	by	by	ADP
cana-5933	67	7	applications	application	NOUN
cana-5933	67	8	of	of	ADP
cana-5933	67	9	fuzzy	fuzzy	ADJ
cana-5933	67	10	matrices	matrix	NOUN
cana-5933	67	11	in	in	ADP
cana-5933	67	12	medicine	medicine	NOUN
cana-5933	67	13	this	this	DET
cana-5933	67	14	year	year	NOUN
cana-5933	67	15	2016	2016	NUM
cana-5933	67	16	.	.	PUNCT
cana-5933	68	1	p.	p.	NOUN
cana-5933	68	2	rajarajeswari	rajarajeswari	PROPN
cana-5933	69	1	and	and	CCONJ
cana-5933	69	2	p.	p.	NOUN
cana-5933	69	3	dhanalakshmi	dhanalakshmi	NOUN
cana-5933	70	1	[	[	X
cana-5933	70	2	33	33	NUM
cana-5933	70	3	]	]	PUNCT
cana-5933	70	4	are	be	AUX
cana-5933	70	5	presenting	present	VERB
cana-5933	70	6	intuitionistic	intuitionistic	ADJ
cana-5933	70	7	fuzzy	fuzzy	ADJ
cana-5933	70	8	soft	soft	ADJ
cana-5933	70	9	matrix	matrix	NOUN
cana-5933	70	10	theory	theory	NOUN
cana-5933	70	11	and	and	CCONJ
cana-5933	70	12	its	its	PRON
cana-5933	70	13	application	application	NOUN
cana-5933	70	14	in	in	ADP
cana-5933	70	15	decision	decision	NOUN
cana-5933	70	16	-	-	PUNCT
cana-5933	70	17	making	making	NOUN
cana-5933	70	18	this	this	DET
cana-5933	70	19	year	year	NOUN
cana-5933	70	20	2013	2013	NUM
cana-5933	70	21	.	.	PUNCT
cana-5933	71	1	c.	c.	PROPN
cana-5933	71	2	radhikaand	radhikaand	PROPN
cana-5933	71	3	and	and	CCONJ
cana-5933	71	4	r.	r.	PROPN
cana-5933	71	5	parvathi	parvathi	PROPN
cana-5933	72	1	[	[	X
cana-5933	72	2	34	34	NUM
cana-5933	72	3	]	]	PUNCT
cana-5933	72	4	gave	give	VERB
cana-5933	72	5	a	a	DET
cana-5933	72	6	defuzzification	defuzzification	NOUN
cana-5933	72	7	of	of	ADP
cana-5933	72	8	intuitionistic	intuitionistic	ADJ
cana-5933	72	9	fuzzy	fuzzy	ADJ
cana-5933	72	10	sets	set	NOUN
cana-5933	72	11	this	this	DET
cana-5933	72	12	year	year	NOUN
cana-5933	72	13	2016	2016	NUM
cana-5933	72	14	.	.	PUNCT
cana-5933	73	1	a.	a.	PROPN
cana-5933	73	2	rezaei	rezaei	PROPN
cana-5933	73	3	,	,	PUNCT
cana-5933	73	4	t.	t.	PROPN
cana-5933	73	5	oner	oner	NOUN
cana-5933	73	6	,	,	PUNCT
cana-5933	73	7	t.	t.	PROPN
cana-5933	73	8	katikan	katikan	PROPN
cana-5933	73	9	and	and	CCONJ
cana-5933	73	10	n.	n.	PROPN
cana-5933	73	11	gandotra	gandotra	PROPN
cana-5933	74	1	[	[	X
cana-5933	74	2	35	35	NUM
cana-5933	74	3	]	]	PUNCT
cana-5933	74	4	proposed	propose	VERB
cana-5933	74	5	a	a	DET
cana-5933	74	6	short	short	ADJ
cana-5933	74	7	history	history	NOUN
cana-5933	74	8	of	of	ADP
cana-5933	74	9	fuzzy	fuzzy	ADJ
cana-5933	74	10	,	,	PUNCT
cana-5933	74	11	intuitionistic	intuitionistic	ADJ
cana-5933	74	12	,	,	PUNCT
cana-5933	74	13	fuzzy	fuzzy	ADJ
cana-5933	74	14	,	,	PUNCT
cana-5933	74	15	neutrosophic	neutrosophic	ADJ
cana-5933	74	16	and	and	CCONJ
cana-5933	74	17	plithogenic	plithogenic	ADJ
cana-5933	74	18	sets	set	NOUN
cana-5933	74	19	in	in	ADP
cana-5933	74	20	this	this	DET
cana-5933	74	21	year	year	NOUN
cana-5933	74	22	2022	2022	NUM
cana-5933	74	23	.	.	PUNCT
cana-5933	75	1	d.	d.	PROPN
cana-5933	75	2	stephen	stephen	PROPN
cana-5933	75	3	dinagar	dinagar	PROPN
cana-5933	75	4	,	,	PUNCT
cana-5933	75	5	k.	k.	PROPN
cana-5933	75	6	latha	latha	PROPN
cana-5933	76	1	[	[	X
cana-5933	76	2	36	36	NUM
cana-5933	76	3	]	]	PUNCT
cana-5933	76	4	discussed	discuss	VERB
cana-5933	76	5	some	some	DET
cana-5933	76	6	types	type	NOUN
cana-5933	76	7	of	of	ADP
cana-5933	76	8	triangular	triangular	NOUN
cana-5933	76	9	fuzzy	fuzzy	ADJ
cana-5933	76	10	matrices	matrix	NOUN
cana-5933	76	11	this	this	DET
cana-5933	76	12	year	year	NOUN
cana-5933	76	13	2013	2013	NUM
cana-5933	76	14	.	.	PUNCT
cana-5933	77	1	g.	g.	PROPN
cana-5933	77	2	saranya	saranya	PROPN
cana-5933	78	1	[	[	X
cana-5933	78	2	37	37	NUM
cana-5933	78	3	]	]	PUNCT
cana-5933	78	4	introduced	introduce	VERB
cana-5933	78	5	a	a	DET
cana-5933	78	6	study	study	NOUN
cana-5933	78	7	on	on	ADP
cana-5933	78	8	basic	basic	ADJ
cana-5933	78	9	operations	operation	NOUN
cana-5933	78	10	and	and	CCONJ
cana-5933	78	11	properties	property	NOUN
cana-5933	78	12	of	of	ADP
cana-5933	78	13	fuzzy	fuzzy	ADJ
cana-5933	78	14	matrices	matrix	NOUN
cana-5933	78	15	and	and	CCONJ
cana-5933	78	16	its	its	PRON
cana-5933	78	17	sections	section	NOUN
cana-5933	78	18	this	this	DET
cana-5933	78	19	year	year	NOUN
cana-5933	78	20	2022	2022	NUM
cana-5933	78	21	.	.	PUNCT
cana-5933	79	1	s.	s.	PROPN
cana-5933	79	2	senthilkumar	senthilkumar	PROPN
cana-5933	79	3	,	,	PUNCT
cana-5933	79	4	eswari	eswari	NOUN
cana-5933	79	5	prem	prem	PROPN
cana-5933	79	6	and	and	CCONJ
cana-5933	79	7	c.	c.	PROPN
cana-5933	79	8	ragavan	ragavan	NOUN
cana-5933	79	9	[	[	X
cana-5933	79	10	38	38	NUM
cana-5933	79	11	]	]	PUNCT
cana-5933	79	12	have	have	AUX
cana-5933	79	13	proposed	propose	VERB
cana-5933	79	14	cartesian	cartesian	ADJ
cana-5933	79	15	products	product	NOUN
cana-5933	79	16	over	over	ADP
cana-5933	79	17	a	a	DET
cana-5933	79	18	contrary	contrary	ADJ
cana-5933	79	19	intuitionistic	intuitionistic	ADJ
cana-5933	79	20	fuzzy	fuzzy	ADJ
cana-5933	79	21	αtranslation	αtranslation	NOUN
cana-5933	79	22	of	of	ADP
cana-5933	79	23	h	h	NOUN
cana-5933	79	24	-	-	PUNCT
cana-5933	79	25	ideals	ideal	NOUN
cana-5933	79	26	in	in	ADP
cana-5933	79	27	division	division	NOUN
cana-5933	79	28	bgalgebras	bgalgebra	NOUN
cana-5933	79	29	in	in	ADP
cana-5933	79	30	this	this	DET
cana-5933	79	31	year	year	NOUN
cana-5933	79	32	2019.subhadip	2019.subhadip	PROPN
cana-5933	79	33	roy	roy	PROPN
cana-5933	79	34	and	and	CCONJ
cana-5933	79	35	jeong	jeong	PROPN
cana-5933	79	36	-	-	PUNCT
cana-5933	79	37	gon	gon	PROPN
cana-5933	79	38	lee	lee	PROPN
cana-5933	80	1	[	[	X
cana-5933	80	2	39	39	NUM
cana-5933	80	3	]	]	PUNCT
cana-5933	80	4	presented	present	VERB
cana-5933	80	5	bipolar	bipolar	ADJ
cana-5933	80	6	fuzzy	fuzzy	ADJ
cana-5933	80	7	graduation	graduation	NOUN
cana-5933	80	8	of	of	ADP
cana-5933	80	9	openness	openness	NOUN
cana-5933	80	10	this	this	DET
cana-5933	80	11	year	year	NOUN
cana-5933	80	12	2020	2020	NUM
cana-5933	80	13	.	.	PUNCT
cana-5933	81	1	k.	k.	PROPN
cana-5933	81	2	l.	l.	PROPN
cana-5933	81	3	vairal	vairal	PROPN
cana-5933	81	4	,	,	PUNCT
cana-5933	81	5	s.	s.	PROPN
cana-5933	81	6	d.	d.	PROPN
cana-5933	81	7	kulkarni	kulkarni	PROPN
cana-5933	81	8	and	and	CCONJ
cana-5933	81	9	vineeta	vineeta	PROPN
cana-5933	81	10	basotia	basotia	NOUN
cana-5933	82	1	[	[	X
cana-5933	82	2	40	40	NUM
cana-5933	82	3	]	]	PUNCT
cana-5933	82	4	are	be	AUX
cana-5933	82	5	studying	study	VERB
cana-5933	82	6	fuzzy	fuzzy	ADJ
cana-5933	82	7	logic	logic	NOUN
cana-5933	82	8	and	and	CCONJ
cana-5933	82	9	its	its	PRON
cana-5933	82	10	applications	application	NOUN
cana-5933	82	11	in	in	ADP
cana-5933	82	12	some	some	DET
cana-5933	82	13	areas	area	NOUN
cana-5933	82	14	:	:	PUNCT
cana-5933	82	15	a	a	DET
cana-5933	82	16	mini	mini	ADJ
cana-5933	82	17	review	review	NOUN
cana-5933	82	18	this	this	DET
cana-5933	82	19	year	year	NOUN
cana-5933	82	20	2020	2020	NUM
cana-5933	82	21	.	.	PUNCT
cana-5933	83	1	vahid	vahid	PROPN
cana-5933	83	2	khatibia	khatibia	PROPN
cana-5933	83	3	and	and	CCONJ
cana-5933	83	4	gholam	gholam	PROPN
cana-5933	83	5	ali	ali	PROPN
cana-5933	83	6	montazer	montazer	PROPN
cana-5933	84	1	[	[	X
cana-5933	84	2	41	41	NUM
cana-5933	84	3	]	]	PUNCT
cana-5933	84	4	discussing	discuss	VERB
cana-5933	84	5	intuitionistic	intuitionistic	ADJ
cana-5933	84	6	fuzzy	fuzzy	ADJ
cana-5933	84	7	set	set	NOUN
cana-5933	84	8	vs.	vs.	ADP
cana-5933	84	9	fuzzy	fuzzy	ADJ
cana-5933	84	10	set	set	VERB
cana-5933	84	11	application	application	NOUN
cana-5933	84	12	in	in	ADP
cana-5933	84	13	medical	medical	ADJ
cana-5933	84	14	pattern	pattern	NOUN
cana-5933	84	15	recognition	recognition	NOUN
cana-5933	84	16	,	,	PUNCT
cana-5933	84	17	2009	2009	NUM
cana-5933	84	18	.	.	PUNCT
cana-5933	85	1	yahya	yahya	PROPN
cana-5933	85	2	hanine	hanine	PROPN
cana-5933	85	3	and	and	CCONJ
cana-5933	85	4	youssef	youssef	PROPN
cana-5933	85	5	lamrani	lamrani	PROPN
cana-5933	85	6	alaoui	alaoui	PROPN
cana-5933	86	1	[	[	X
cana-5933	86	2	42	42	NUM
cana-5933	86	3	]	]	PUNCT
cana-5933	86	4	proposed	propose	VERB
cana-5933	86	5	socially	socially	ADV
cana-5933	86	6	responsible	responsible	ADJ
cana-5933	86	7	portfolio	portfolio	NOUN
cana-5933	86	8	selection	selection	NOUN
cana-5933	86	9	:	:	PUNCT
cana-5933	86	10	an	an	DET
cana-5933	86	11	interactive	interactive	ADJ
cana-5933	86	12	intuitionistic	intuitionistic	ADJ
cana-5933	86	13	fuzzy	fuzzy	ADJ
cana-5933	86	14	approach	approach	NOUN
cana-5933	86	15	this	this	DET
cana-5933	86	16	year	year	NOUN
cana-5933	86	17	2021	2021	NUM
cana-5933	86	18	.	.	PUNCT
cana-5933	87	1	2	2	X
cana-5933	87	2	.	.	X
cana-5933	87	3	objectives	objective	NOUN
cana-5933	87	4	:	:	PUNCT
cana-5933	87	5	enhancing	enhance	VERB
cana-5933	87	6	representation	representation	NOUN
cana-5933	87	7	of	of	ADP
cana-5933	87	8	uncertainty	uncertainty	NOUN
cana-5933	87	9	:	:	PUNCT
cana-5933	87	10	the	the	DET
cana-5933	87	11	primary	primary	ADJ
cana-5933	87	12	objective	objective	NOUN
cana-5933	87	13	is	be	AUX
cana-5933	87	14	to	to	PART
cana-5933	87	15	model	model	VERB
cana-5933	87	16	and	and	CCONJ
cana-5933	87	17	represent	represent	VERB
cana-5933	87	18	uncertainty	uncertainty	NOUN
cana-5933	87	19	more	more	ADV
cana-5933	87	20	effectively	effectively	ADV
cana-5933	87	21	in	in	ADP
cana-5933	87	22	complex	complex	ADJ
cana-5933	87	23	systems	system	NOUN
cana-5933	87	24	.	.	PUNCT
cana-5933	88	1	by	by	ADP
cana-5933	88	2	using	use	VERB
cana-5933	88	3	the	the	DET
cana-5933	88	4	necessity	necessity	NOUN
cana-5933	88	5	modal	modal	NOUN
cana-5933	88	6	operator	operator	NOUN
cana-5933	88	7	,	,	PUNCT
cana-5933	88	8	it	it	PRON
cana-5933	88	9	is	be	AUX
cana-5933	88	10	possible	possible	ADJ
cana-5933	88	11	to	to	PART
cana-5933	88	12	quantify	quantify	VERB
cana-5933	88	13	the	the	DET
cana-5933	88	14	degree	degree	NOUN
cana-5933	88	15	of	of	ADP
cana-5933	88	16	necessity	necessity	NOUN
cana-5933	88	17	of	of	ADP
cana-5933	88	18	a	a	DET
cana-5933	88	19	relationship	relationship	NOUN
cana-5933	88	20	or	or	CCONJ
cana-5933	88	21	condition	condition	NOUN
cana-5933	88	22	in	in	ADP
cana-5933	88	23	the	the	DET
cana-5933	88	24	context	context	NOUN
cana-5933	88	25	of	of	ADP
cana-5933	88	26	both	both	DET
cana-5933	88	27	truth	truth	NOUN
cana-5933	88	28	and	and	CCONJ
cana-5933	88	29	falsehood	falsehood	NOUN
cana-5933	88	30	in	in	ADP
cana-5933	88	31	intuitionistic	intuitionistic	ADJ
cana-5933	88	32	fuzzy	fuzzy	ADJ
cana-5933	88	33	systems	system	NOUN
cana-5933	88	34	.	.	PUNCT
cana-5933	89	1	this	this	PRON
cana-5933	89	2	allows	allow	VERB
cana-5933	89	3	for	for	ADP
cana-5933	89	4	a	a	DET
cana-5933	89	5	richer	rich	ADJ
cana-5933	89	6	interpretation	interpretation	NOUN
cana-5933	89	7	of	of	ADP
cana-5933	89	8	uncertain	uncertain	ADJ
cana-5933	89	9	data	datum	NOUN
cana-5933	89	10	,	,	PUNCT
cana-5933	89	11	especially	especially	ADV
cana-5933	89	12	when	when	SCONJ
cana-5933	89	13	dealing	deal	VERB
cana-5933	89	14	with	with	ADP
cana-5933	89	15	incomplete	incomplete	ADJ
cana-5933	89	16	or	or	CCONJ
cana-5933	89	17	imprecise	imprecise	ADJ
cana-5933	89	18	information	information	NOUN
cana-5933	89	19	.	.	PUNCT
cana-5933	90	1	formalizing	formalizing	NOUN
cana-5933	90	2	necessity	necessity	NOUN
cana-5933	90	3	and	and	CCONJ
cana-5933	90	4	possibility	possibility	NOUN
cana-5933	90	5	:	:	PUNCT
cana-5933	90	6	the	the	DET
cana-5933	90	7	necessity	necessity	NOUN
cana-5933	90	8	modal	modal	NOUN
cana-5933	90	9	operator	operator	NOUN
cana-5933	90	10	helps	help	VERB
cana-5933	90	11	formalize	formalize	VERB
cana-5933	90	12	the	the	DET
cana-5933	90	13	concepts	concept	NOUN
cana-5933	90	14	of	of	ADP
cana-5933	90	15	necessity	necessity	NOUN
cana-5933	90	16	and	and	CCONJ
cana-5933	90	17	possibility	possibility	NOUN
cana-5933	90	18	within	within	ADP
cana-5933	90	19	intuitionistic	intuitionistic	ADJ
cana-5933	90	20	fuzzy	fuzzy	ADJ
cana-5933	90	21	logic	logic	NOUN
cana-5933	90	22	.	.	PUNCT
cana-5933	91	1	it	it	PRON
cana-5933	91	2	adds	add	VERB
cana-5933	91	3	a	a	DET
cana-5933	91	4	layer	layer	NOUN
cana-5933	91	5	of	of	ADP
cana-5933	91	6	sophistication	sophistication	NOUN
cana-5933	91	7	in	in	ADP
cana-5933	91	8	how	how	SCONJ
cana-5933	91	9	necessity	necessity	NOUN
cana-5933	91	10	is	be	AUX
cana-5933	91	11	treated	treat	VERB
cana-5933	91	12	in	in	ADP
cana-5933	91	13	fuzzy	fuzzy	ADJ
cana-5933	91	14	systems	system	NOUN
cana-5933	91	15	by	by	ADP
cana-5933	91	16	distinguishing	distinguish	VERB
cana-5933	91	17	between	between	ADP
cana-5933	91	18	necessary	necessary	ADJ
cana-5933	91	19	,	,	PUNCT
cana-5933	91	20	possible	possible	ADJ
cana-5933	91	21	,	,	PUNCT
cana-5933	91	22	and	and	CCONJ
cana-5933	91	23	impossible	impossible	ADJ
cana-5933	91	24	events	event	NOUN
cana-5933	91	25	or	or	CCONJ
cana-5933	91	26	relationships	relationship	NOUN
cana-5933	91	27	.	.	PUNCT
cana-5933	92	1	in	in	ADP
cana-5933	92	2	the	the	DET
cana-5933	92	3	context	context	NOUN
cana-5933	92	4	of	of	ADP
cana-5933	92	5	fuzzy	fuzzy	ADJ
cana-5933	92	6	matrices	matrix	NOUN
cana-5933	92	7	,	,	PUNCT
cana-5933	92	8	this	this	DET
cana-5933	92	9	formalization	formalization	NOUN
cana-5933	92	10	provides	provide	VERB
cana-5933	92	11	a	a	DET
cana-5933	92	12	structured	structured	ADJ
cana-5933	92	13	way	way	NOUN
cana-5933	92	14	to	to	PART
cana-5933	92	15	measure	measure	VERB
cana-5933	92	16	how	how	SCONJ
cana-5933	92	17	"	"	PUNCT
cana-5933	92	18	necessary	necessary	ADJ
cana-5933	92	19	"	"	PUNCT
cana-5933	92	20	a	a	DET
cana-5933	92	21	given	give	VERB
cana-5933	92	22	condition	condition	NOUN
cana-5933	92	23	or	or	CCONJ
cana-5933	92	24	relationship	relationship	NOUN
cana-5933	92	25	is	be	AUX
cana-5933	92	26	within	within	ADP
cana-5933	92	27	a	a	DET
cana-5933	92	28	set	set	NOUN
cana-5933	92	29	of	of	ADP
cana-5933	92	30	fuzzy	fuzzy	ADJ
cana-5933	92	31	data	datum	NOUN
cana-5933	92	32	.	.	PUNCT
cana-5933	93	1	improving	improve	VERB
cana-5933	93	2	decision	decision	NOUN
cana-5933	93	3	-	-	PUNCT
cana-5933	93	4	making	making	NOUN
cana-5933	93	5	in	in	ADP
cana-5933	93	6	uncertain	uncertain	ADJ
cana-5933	93	7	environments	environment	NOUN
cana-5933	93	8	:	:	PUNCT
cana-5933	93	9	one	one	NUM
cana-5933	93	10	of	of	ADP
cana-5933	93	11	the	the	DET
cana-5933	93	12	main	main	ADJ
cana-5933	93	13	goals	goal	NOUN
cana-5933	93	14	of	of	ADP
cana-5933	93	15	applying	apply	VERB
cana-5933	93	16	the	the	DET
cana-5933	93	17	necessity	necessity	NOUN
cana-5933	93	18	modal	modal	NOUN
cana-5933	93	19	operator	operator	NOUN
cana-5933	93	20	to	to	PART
cana-5933	93	21	intuitionistic	intuitionistic	ADJ
cana-5933	93	22	fuzzy	fuzzy	ADJ
cana-5933	93	23	matrices	matrix	NOUN
cana-5933	93	24	is	be	AUX
cana-5933	93	25	to	to	PART
cana-5933	93	26	support	support	VERB
cana-5933	93	27	decision	decision	NOUN
cana-5933	93	28	-	-	PUNCT
cana-5933	93	29	making	making	NOUN
cana-5933	93	30	in	in	ADP
cana-5933	93	31	environments	environment	NOUN
cana-5933	93	32	with	with	ADP
cana-5933	93	33	uncertainty	uncertainty	NOUN
cana-5933	93	34	.	.	PUNCT
cana-5933	94	1	the	the	DET
cana-5933	94	2	necessity	necessity	NOUN
cana-5933	94	3	operator	operator	NOUN
cana-5933	94	4	helps	help	VERB
cana-5933	94	5	in	in	ADP
cana-5933	94	6	making	make	VERB
cana-5933	94	7	decisions	decision	NOUN
cana-5933	94	8	where	where	SCONJ
cana-5933	94	9	certain	certain	ADJ
cana-5933	94	10	criteria	criterion	NOUN
cana-5933	94	11	or	or	CCONJ
cana-5933	94	12	conditions	condition	NOUN
cana-5933	94	13	need	need	VERB
cana-5933	94	14	to	to	PART
cana-5933	94	15	be	be	AUX
cana-5933	94	16	satisfied	satisfied	ADJ
cana-5933	94	17	to	to	ADP
cana-5933	94	18	a	a	DET
cana-5933	94	19	certain	certain	ADJ
cana-5933	94	20	degree	degree	NOUN
cana-5933	94	21	of	of	ADP
cana-5933	94	22	necessity	necessity	NOUN
cana-5933	94	23	,	,	PUNCT
cana-5933	94	24	despite	despite	SCONJ
cana-5933	94	25	the	the	DET
cana-5933	94	26	presence	presence	NOUN
cana-5933	94	27	of	of	ADP
cana-5933	94	28	fuzzy	fuzzy	ADJ
cana-5933	94	29	or	or	CCONJ
cana-5933	94	30	uncertain	uncertain	ADJ
cana-5933	94	31	information	information	NOUN
cana-5933	94	32	.	.	PUNCT
cana-5933	95	1	it	it	PRON
cana-5933	95	2	facilitates	facilitate	VERB
cana-5933	95	3	better	well	ADJ
cana-5933	95	4	evaluation	evaluation	NOUN
cana-5933	95	5	of	of	ADP
cana-5933	95	6	situations	situation	NOUN
cana-5933	95	7	where	where	SCONJ
cana-5933	95	8	outcomes	outcome	NOUN
cana-5933	95	9	must	must	AUX
cana-5933	95	10	adhere	adhere	VERB
cana-5933	95	11	to	to	ADP
cana-5933	95	12	stricter	strict	ADJ
cana-5933	95	13	constraints	constraint	NOUN
cana-5933	95	14	(	(	PUNCT
cana-5933	95	15	necessity	necessity	NOUN
cana-5933	95	16	)	)	PUNCT
cana-5933	95	17	or	or	CCONJ
cana-5933	95	18	can	can	AUX
cana-5933	95	19	be	be	AUX
cana-5933	95	20	more	more	ADV
cana-5933	95	21	relaxed	relaxed	ADJ
cana-5933	95	22	(	(	PUNCT
cana-5933	95	23	possibility	possibility	NOUN
cana-5933	95	24	)	)	PUNCT
cana-5933	95	25	.	.	PUNCT
cana-5933	96	1	strengthening	strengthen	VERB
cana-5933	96	2	logical	logical	ADJ
cana-5933	96	3	reasoning	reasoning	NOUN
cana-5933	96	4	and	and	CCONJ
cana-5933	96	5	inference	inference	NOUN
cana-5933	96	6	:	:	PUNCT
cana-5933	96	7	the	the	DET
cana-5933	96	8	necessity	necessity	NOUN
cana-5933	96	9	modal	modal	NOUN
cana-5933	96	10	operator	operator	NOUN
cana-5933	96	11	provides	provide	VERB
cana-5933	96	12	communications	communication	NOUN
cana-5933	96	13	on	on	ADP
cana-5933	96	14	applied	apply	VERB
cana-5933	96	15	nonlinear	nonlinear	ADJ
cana-5933	96	16	analysis	analysis	NOUN
cana-5933	96	17	issn	issn	NOUN
cana-5933	96	18	:	:	PUNCT
cana-5933	96	19	1074	1074	NUM
cana-5933	96	20	-	-	PUNCT
cana-5933	96	21	133x	133x	NUM
cana-5933	96	22	vol	vol	VERB
cana-5933	96	23	32	32	NUM
cana-5933	96	24	no	no	NOUN
cana-5933	96	25	.	.	PUNCT
cana-5933	97	1	10s	10	NOUN
cana-5933	97	2	(	(	PUNCT
cana-5933	97	3	2025	2025	NUM
cana-5933	97	4	)	)	PUNCT
cana-5933	97	5	3137	3137	NUM
cana-5933	97	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	97	7	a	a	DET
cana-5933	97	8	formal	formal	ADJ
cana-5933	97	9	method	method	NOUN
cana-5933	97	10	to	to	PART
cana-5933	97	11	express	express	VERB
cana-5933	97	12	the	the	DET
cana-5933	97	13	logical	logical	ADJ
cana-5933	97	14	necessity	necessity	NOUN
cana-5933	97	15	of	of	ADP
cana-5933	97	16	propositions	proposition	NOUN
cana-5933	97	17	in	in	ADP
cana-5933	97	18	fuzzy	fuzzy	ADJ
cana-5933	97	19	systems	system	NOUN
cana-5933	97	20	,	,	PUNCT
cana-5933	97	21	enabling	enable	VERB
cana-5933	97	22	more	more	ADV
cana-5933	97	23	robust	robust	ADJ
cana-5933	97	24	logical	logical	ADJ
cana-5933	97	25	reasoning	reasoning	NOUN
cana-5933	97	26	.	.	PUNCT
cana-5933	98	1	it	it	PRON
cana-5933	98	2	allows	allow	VERB
cana-5933	98	3	the	the	DET
cana-5933	98	4	extraction	extraction	NOUN
cana-5933	98	5	of	of	ADP
cana-5933	98	6	logical	logical	ADJ
cana-5933	98	7	implications	implication	NOUN
cana-5933	98	8	from	from	ADP
cana-5933	98	9	intuitionistic	intuitionistic	ADJ
cana-5933	98	10	fuzzy	fuzzy	ADJ
cana-5933	98	11	matrices	matrix	NOUN
cana-5933	98	12	,	,	PUNCT
cana-5933	98	13	offering	offer	VERB
cana-5933	98	14	tools	tool	NOUN
cana-5933	98	15	for	for	ADP
cana-5933	98	16	inferring	infer	VERB
cana-5933	98	17	relationships	relationship	NOUN
cana-5933	98	18	between	between	ADP
cana-5933	98	19	elements	element	NOUN
cana-5933	98	20	based	base	VERB
cana-5933	98	21	on	on	ADP
cana-5933	98	22	the	the	DET
cana-5933	98	23	degree	degree	NOUN
cana-5933	98	24	of	of	ADP
cana-5933	98	25	necessity	necessity	NOUN
cana-5933	98	26	assigned	assign	VERB
cana-5933	98	27	to	to	ADP
cana-5933	98	28	each	each	DET
cana-5933	98	29	condition	condition	NOUN
cana-5933	98	30	.	.	PUNCT
cana-5933	99	1	improving	improve	VERB
cana-5933	99	2	the	the	DET
cana-5933	99	3	precision	precision	NOUN
cana-5933	99	4	of	of	ADP
cana-5933	99	5	intuitionistic	intuitionistic	ADJ
cana-5933	99	6	fuzzy	fuzzy	ADJ
cana-5933	99	7	systems	system	NOUN
cana-5933	99	8	:	:	PUNCT
cana-5933	99	9	by	by	ADP
cana-5933	99	10	incorporating	incorporate	VERB
cana-5933	99	11	the	the	DET
cana-5933	99	12	necessity	necessity	NOUN
cana-5933	99	13	operator	operator	NOUN
cana-5933	99	14	,	,	PUNCT
cana-5933	99	15	the	the	DET
cana-5933	99	16	system	system	NOUN
cana-5933	99	17	's	's	PART
cana-5933	99	18	precision	precision	NOUN
cana-5933	99	19	in	in	ADP
cana-5933	99	20	dealing	deal	VERB
cana-5933	99	21	with	with	ADP
cana-5933	99	22	fuzzy	fuzzy	ADJ
cana-5933	99	23	relations	relation	NOUN
cana-5933	99	24	is	be	AUX
cana-5933	99	25	enhanced	enhance	VERB
cana-5933	99	26	.	.	PUNCT
cana-5933	100	1	this	this	PRON
cana-5933	100	2	enables	enable	VERB
cana-5933	100	3	a	a	DET
cana-5933	100	4	more	more	ADV
cana-5933	100	5	accurate	accurate	ADJ
cana-5933	100	6	representation	representation	NOUN
cana-5933	100	7	of	of	ADP
cana-5933	100	8	how	how	SCONJ
cana-5933	100	9	necessary	necessary	ADJ
cana-5933	100	10	or	or	CCONJ
cana-5933	100	11	impossible	impossible	ADJ
cana-5933	100	12	certain	certain	ADJ
cana-5933	100	13	conditions	condition	NOUN
cana-5933	100	14	are	be	AUX
cana-5933	100	15	,	,	PUNCT
cana-5933	100	16	thereby	thereby	ADV
cana-5933	100	17	refining	refine	VERB
cana-5933	100	18	the	the	DET
cana-5933	100	19	modeling	modeling	NOUN
cana-5933	100	20	of	of	ADP
cana-5933	100	21	uncertainty	uncertainty	NOUN
cana-5933	100	22	in	in	ADP
cana-5933	100	23	systems	system	NOUN
cana-5933	100	24	.	.	PUNCT
cana-5933	101	1	it	it	PRON
cana-5933	101	2	also	also	ADV
cana-5933	101	3	contributes	contribute	VERB
cana-5933	101	4	to	to	ADP
cana-5933	101	5	better	well	ADJ
cana-5933	101	6	alignment	alignment	NOUN
cana-5933	101	7	of	of	ADP
cana-5933	101	8	the	the	DET
cana-5933	101	9	fuzzy	fuzzy	ADJ
cana-5933	101	10	matrix	matrix	NOUN
cana-5933	101	11	's	's	PART
cana-5933	101	12	structure	structure	NOUN
cana-5933	101	13	with	with	ADP
cana-5933	101	14	real	real	ADJ
cana-5933	101	15	-	-	PUNCT
cana-5933	101	16	world	world	NOUN
cana-5933	101	17	scenarios	scenario	NOUN
cana-5933	101	18	where	where	SCONJ
cana-5933	101	19	certainty	certainty	NOUN
cana-5933	101	20	and	and	CCONJ
cana-5933	101	21	necessity	necessity	NOUN
cana-5933	101	22	are	be	AUX
cana-5933	101	23	key	key	ADJ
cana-5933	101	24	factors	factor	NOUN
cana-5933	101	25	.	.	PUNCT
cana-5933	102	1	3	3	X
cana-5933	102	2	.	.	X
cana-5933	102	3	preliminary	preliminary	ADJ
cana-5933	102	4	fuzzy	fuzzy	ADJ
cana-5933	102	5	set	set	VERB
cana-5933	102	6	matrices	matrix	NOUN
cana-5933	102	7	3.1	3.1	NUM
cana-5933	102	8	definition	definition	NOUN
cana-5933	102	9	:	:	PUNCT
cana-5933	102	10	fuzzy	fuzzy	ADJ
cana-5933	102	11	set	set	NOUN
cana-5933	102	12	:	:	PUNCT
cana-5933	102	13	a	a	DET
cana-5933	102	14	fuzzy	fuzzy	ADJ
cana-5933	102	15	set	set	NOUN
cana-5933	102	16	is	be	AUX
cana-5933	102	17	a	a	DET
cana-5933	102	18	set	set	NOUN
cana-5933	102	19	whose	whose	DET
cana-5933	102	20	elements	element	NOUN
cana-5933	102	21	have	have	VERB
cana-5933	102	22	degrees	degree	NOUN
cana-5933	102	23	of	of	ADP
cana-5933	102	24	membership	membership	NOUN
cana-5933	102	25	.	.	PUNCT
cana-5933	103	1	fuzzy	fuzzy	ADJ
cana-5933	103	2	sets	set	NOUN
cana-5933	103	3	are	be	AUX
cana-5933	103	4	an	an	DET
cana-5933	103	5	extension	extension	NOUN
cana-5933	103	6	of	of	ADP
cana-5933	103	7	the	the	DET
cana-5933	103	8	classical	classical	ADJ
cana-5933	103	9	notion	notion	NOUN
cana-5933	103	10	of	of	ADP
cana-5933	103	11	set	set	NOUN
cana-5933	103	12	(	(	PUNCT
cana-5933	103	13	known	know	VERB
cana-5933	103	14	as	as	ADP
cana-5933	103	15	a	a	DET
cana-5933	103	16	crisp	crisp	ADJ
cana-5933	103	17	set	set	NOUN
cana-5933	103	18	)	)	PUNCT
cana-5933	103	19	.	.	PUNCT
cana-5933	104	1	more	more	ADV
cana-5933	104	2	mathematically	mathematically	ADV
cana-5933	104	3	,	,	PUNCT
cana-5933	104	4	a	a	DET
cana-5933	104	5	fuzzy	fuzzy	ADJ
cana-5933	104	6	set	set	NOUN
cana-5933	104	7	is	be	AUX
cana-5933	104	8	a	a	DET
cana-5933	104	9	pair	pair	NOUN
cana-5933	104	10	(	(	PUNCT
cana-5933	104	11	a	a	DET
cana-5933	104	12	,	,	PUNCT
cana-5933	104	13	µa	µa	NOUN
cana-5933	104	14	)	)	PUNCT
cana-5933	104	15	where	where	SCONJ
cana-5933	104	16	a	a	PRON
cana-5933	104	17	is	be	AUX
cana-5933	104	18	a	a	DET
cana-5933	104	19	set	set	NOUN
cana-5933	104	20	and	and	CCONJ
cana-5933	104	21	µa	µa	NOUN
cana-5933	104	22	:	:	PUNCT
cana-5933	104	23	a	a	DET
cana-5933	104	24	→	→	SYM
cana-5933	104	25	[	[	X
cana-5933	104	26	0	0	NUM
cana-5933	104	27	,	,	PUNCT
cana-5933	104	28	1	1	NUM
cana-5933	104	29	]	]	PUNCT
cana-5933	104	30	.	.	PUNCT
cana-5933	105	1	for	for	ADP
cana-5933	105	2	all	all	DET
cana-5933	105	3	x	x	SYM
cana-5933	105	4	∈	∈	PROPN
cana-5933	105	5	a	a	PRON
cana-5933	105	6	,	,	PUNCT
cana-5933	105	7	µa(x	µa(x	NOUN
cana-5933	105	8	)	)	PUNCT
cana-5933	105	9	is	be	AUX
cana-5933	105	10	called	call	VERB
cana-5933	105	11	the	the	DET
cana-5933	105	12	grade	grade	NOUN
cana-5933	105	13	of	of	ADP
cana-5933	105	14	membership	membership	NOUN
cana-5933	105	15	of	of	ADP
cana-5933	105	16	x.	x.	PROPN
cana-5933	105	17	3.2	3.2	NUM
cana-5933	105	18	example	example	NOUN
cana-5933	105	19	of	of	ADP
cana-5933	105	20	fuzzy	fuzzy	ADJ
cana-5933	105	21	set	set	VERB
cana-5933	105	22	mathematics	mathematic	NOUN
cana-5933	105	23	and	and	CCONJ
cana-5933	105	24	logic	logic	NOUN
cana-5933	105	25	:	:	PUNCT
cana-5933	105	26	height	height	NOUN
cana-5933	105	27	classification	classification	NOUN
cana-5933	105	28	:	:	PUNCT
cana-5933	105	29	consider	consider	VERB
cana-5933	105	30	a	a	DET
cana-5933	105	31	fuzzy	fuzzy	ADJ
cana-5933	105	32	set	set	NOUN
cana-5933	105	33	for	for	ADP
cana-5933	105	34	classifying	classify	VERB
cana-5933	105	35	the	the	DET
cana-5933	105	36	height	height	NOUN
cana-5933	105	37	of	of	ADP
cana-5933	105	38	people	people	NOUN
cana-5933	105	39	as	as	ADP
cana-5933	105	40	"	"	PUNCT
cana-5933	105	41	tall	tall	ADJ
cana-5933	105	42	,	,	PUNCT
cana-5933	105	43	"	"	PUNCT
cana-5933	105	44	"	"	PUNCT
cana-5933	105	45	average	average	ADJ
cana-5933	105	46	,	,	PUNCT
cana-5933	105	47	"	"	PUNCT
cana-5933	105	48	and	and	CCONJ
cana-5933	105	49	"	"	PUNCT
cana-5933	105	50	short	short	ADJ
cana-5933	105	51	.	.	PUNCT
cana-5933	105	52	"	"	PUNCT
cana-5933	106	1	instead	instead	ADV
cana-5933	106	2	of	of	ADP
cana-5933	106	3	having	have	VERB
cana-5933	106	4	a	a	DET
cana-5933	106	5	strict	strict	ADJ
cana-5933	106	6	definition	definition	NOUN
cana-5933	106	7	(	(	PUNCT
cana-5933	106	8	e.g.	e.g.	ADV
cana-5933	106	9	,	,	PUNCT
cana-5933	106	10	greater	great	ADJ
cana-5933	106	11	than	than	ADP
cana-5933	106	12	6	6	NUM
cana-5933	106	13	feet	foot	NOUN
cana-5933	106	14	is	be	AUX
cana-5933	106	15	tall	tall	ADJ
cana-5933	106	16	)	)	PUNCT
cana-5933	106	17	,	,	PUNCT
cana-5933	106	18	fuzzy	fuzzy	ADJ
cana-5933	106	19	logic	logic	NOUN
cana-5933	106	20	allows	allow	VERB
cana-5933	106	21	for	for	ADP
cana-5933	106	22	degrees	degree	NOUN
cana-5933	106	23	of	of	ADP
cana-5933	106	24	membership	membership	NOUN
cana-5933	106	25	.	.	PUNCT
cana-5933	107	1	a	a	DET
cana-5933	107	2	person	person	NOUN
cana-5933	107	3	who	who	PRON
cana-5933	107	4	is	be	AUX
cana-5933	107	5	5'10	5'10	NUM
cana-5933	107	6	"	"	PUNCT
cana-5933	107	7	could	could	AUX
cana-5933	107	8	have	have	VERB
cana-5933	107	9	a	a	DET
cana-5933	107	10	0.8	0.8	NUM
cana-5933	107	11	membership	membership	NOUN
cana-5933	107	12	in	in	ADP
cana-5933	107	13	the	the	DET
cana-5933	107	14	"	"	PUNCT
cana-5933	107	15	tall	tall	ADJ
cana-5933	107	16	"	"	PUNCT
cana-5933	107	17	set	set	NOUN
cana-5933	107	18	and	and	CCONJ
cana-5933	107	19	a	a	DET
cana-5933	107	20	0.2	0.2	NUM
cana-5933	107	21	membership	membership	NOUN
cana-5933	107	22	in	in	ADP
cana-5933	107	23	the	the	DET
cana-5933	107	24	"	"	PUNCT
cana-5933	107	25	average	average	ADJ
cana-5933	107	26	height	height	NOUN
cana-5933	107	27	"	"	PUNCT
cana-5933	107	28	set	set	NOUN
cana-5933	107	29	.	.	PUNCT
cana-5933	108	1	artificial	artificial	ADJ
cana-5933	108	2	intelligence	intelligence	NOUN
cana-5933	108	3	and	and	CCONJ
cana-5933	108	4	machine	machine	NOUN
cana-5933	108	5	learning	learning	NOUN
cana-5933	108	6	:	:	PUNCT
cana-5933	108	7	fuzzy	fuzzy	ADJ
cana-5933	108	8	clustering	clustering	NOUN
cana-5933	108	9	:	:	PUNCT
cana-5933	108	10	a	a	DET
cana-5933	108	11	fuzzy	fuzzy	ADJ
cana-5933	108	12	clustering	clustering	ADJ
cana-5933	108	13	algorithm	algorithm	NOUN
cana-5933	108	14	assigns	assign	NOUN
cana-5933	108	15	data	datum	NOUN
cana-5933	108	16	points	point	NOUN
cana-5933	108	17	to	to	ADP
cana-5933	108	18	multiple	multiple	ADJ
cana-5933	108	19	clusters	cluster	NOUN
cana-5933	108	20	with	with	ADP
cana-5933	108	21	varying	vary	VERB
cana-5933	108	22	degrees	degree	NOUN
cana-5933	108	23	of	of	ADP
cana-5933	108	24	membership	membership	NOUN
cana-5933	108	25	.	.	PUNCT
cana-5933	109	1	for	for	ADP
cana-5933	109	2	example	example	NOUN
cana-5933	109	3	,	,	PUNCT
cana-5933	109	4	in	in	ADP
cana-5933	109	5	customer	customer	NOUN
cana-5933	109	6	segmentation	segmentation	NOUN
cana-5933	109	7	,	,	PUNCT
cana-5933	109	8	a	a	DET
cana-5933	109	9	customer	customer	NOUN
cana-5933	109	10	might	might	AUX
cana-5933	109	11	have	have	VERB
cana-5933	109	12	a	a	DET
cana-5933	109	13	0.7	0.7	NUM
cana-5933	109	14	membership	membership	NOUN
cana-5933	109	15	in	in	ADP
cana-5933	109	16	the	the	DET
cana-5933	109	17	"	"	PUNCT
cana-5933	109	18	frequent	frequent	ADJ
cana-5933	109	19	shopper	shopper	NOUN
cana-5933	109	20	"	"	PUNCT
cana-5933	109	21	cluster	cluster	NOUN
cana-5933	109	22	and	and	CCONJ
cana-5933	109	23	a	a	DET
cana-5933	109	24	0.3	0.3	NUM
cana-5933	109	25	membership	membership	NOUN
cana-5933	109	26	in	in	ADP
cana-5933	109	27	the	the	DET
cana-5933	109	28	"	"	PUNCT
cana-5933	109	29	bargain	bargain	NOUN
cana-5933	109	30	shopper	shopper	NOUN
cana-5933	109	31	"	"	PUNCT
cana-5933	109	32	cluster	cluster	NOUN
cana-5933	109	33	.	.	PUNCT
cana-5933	110	1	control	control	NOUN
cana-5933	110	2	systems	system	NOUN
cana-5933	110	3	:	:	PUNCT
cana-5933	110	4	fuzzy	fuzzy	ADJ
cana-5933	110	5	logic	logic	NOUN
cana-5933	110	6	temperature	temperature	NOUN
cana-5933	110	7	control	control	NOUN
cana-5933	110	8	:	:	PUNCT
cana-5933	110	9	a	a	DET
cana-5933	110	10	fuzzy	fuzzy	ADJ
cana-5933	110	11	logic	logic	NOUN
cana-5933	110	12	system	system	NOUN
cana-5933	110	13	could	could	AUX
cana-5933	110	14	be	be	AUX
cana-5933	110	15	used	use	VERB
cana-5933	110	16	in	in	ADP
cana-5933	110	17	an	an	DET
cana-5933	110	18	air	air	NOUN
cana-5933	110	19	conditioning	conditioning	NOUN
cana-5933	110	20	system	system	NOUN
cana-5933	110	21	where	where	SCONJ
cana-5933	110	22	the	the	DET
cana-5933	110	23	temperature	temperature	NOUN
cana-5933	110	24	is	be	AUX
cana-5933	110	25	classified	classify	VERB
cana-5933	110	26	as	as	ADP
cana-5933	110	27	"	"	PUNCT
cana-5933	110	28	cold	cold	ADJ
cana-5933	110	29	,	,	PUNCT
cana-5933	110	30	"	"	PUNCT
cana-5933	110	31	"	"	PUNCT
cana-5933	110	32	comfortable	comfortable	ADJ
cana-5933	110	33	,	,	PUNCT
cana-5933	110	34	"	"	PUNCT
cana-5933	110	35	and	and	CCONJ
cana-5933	110	36	"	"	PUNCT
cana-5933	110	37	hot	hot	ADJ
cana-5933	110	38	.	.	PUNCT
cana-5933	110	39	"	"	PUNCT
cana-5933	111	1	if	if	SCONJ
cana-5933	111	2	the	the	DET
cana-5933	111	3	room	room	NOUN
cana-5933	111	4	temperature	temperature	NOUN
cana-5933	111	5	is	be	AUX
cana-5933	111	6	22	22	NUM
cana-5933	111	7	°	°	NOUN
cana-5933	111	8	c	c	NOUN
cana-5933	111	9	,	,	PUNCT
cana-5933	111	10	it	it	PRON
cana-5933	111	11	might	might	AUX
cana-5933	111	12	have	have	VERB
cana-5933	111	13	a	a	DET
cana-5933	111	14	0.7	0.7	NUM
cana-5933	111	15	membership	membership	NOUN
cana-5933	111	16	in	in	ADP
cana-5933	111	17	"	"	PUNCT
cana-5933	111	18	comfortable	comfortable	ADJ
cana-5933	111	19	"	"	PUNCT
cana-5933	111	20	and	and	CCONJ
cana-5933	111	21	a	a	DET
cana-5933	111	22	0.3	0.3	NUM
cana-5933	111	23	membership	membership	NOUN
cana-5933	111	24	in	in	ADP
cana-5933	111	25	"	"	PUNCT
cana-5933	111	26	cold	cold	ADJ
cana-5933	111	27	,	,	PUNCT
cana-5933	111	28	"	"	PUNCT
cana-5933	111	29	so	so	CCONJ
cana-5933	111	30	the	the	DET
cana-5933	111	31	air	air	NOUN
cana-5933	111	32	conditioner	conditioner	NOUN
cana-5933	111	33	will	will	AUX
cana-5933	111	34	adjust	adjust	VERB
cana-5933	111	35	to	to	PART
cana-5933	111	36	maintain	maintain	VERB
cana-5933	111	37	the	the	DET
cana-5933	111	38	temperature	temperature	NOUN
cana-5933	111	39	within	within	ADP
cana-5933	111	40	the	the	DET
cana-5933	111	41	optimal	optimal	ADJ
cana-5933	111	42	range	range	NOUN
cana-5933	111	43	.	.	PUNCT
cana-5933	112	1	computer	computer	NOUN
cana-5933	112	2	science	science	NOUN
cana-5933	112	3	and	and	CCONJ
cana-5933	112	4	data	datum	NOUN
cana-5933	112	5	mining	mining	NOUN
cana-5933	112	6	:	:	PUNCT
cana-5933	112	7	fuzzy	fuzzy	ADJ
cana-5933	112	8	database	database	NOUN
cana-5933	112	9	querying	query	VERB
cana-5933	112	10	:	:	PUNCT
cana-5933	112	11	in	in	ADP
cana-5933	112	12	a	a	DET
cana-5933	112	13	product	product	NOUN
cana-5933	112	14	database	database	NOUN
cana-5933	112	15	,	,	PUNCT
cana-5933	112	16	the	the	DET
cana-5933	112	17	price	price	NOUN
cana-5933	112	18	might	might	AUX
cana-5933	112	19	be	be	AUX
cana-5933	112	20	classified	classify	VERB
cana-5933	112	21	into	into	ADP
cana-5933	112	22	fuzzy	fuzzy	ADJ
cana-5933	112	23	categories	category	NOUN
cana-5933	112	24	like	like	ADP
cana-5933	112	25	"	"	PUNCT
cana-5933	112	26	cheap	cheap	ADJ
cana-5933	112	27	,	,	PUNCT
cana-5933	112	28	"	"	PUNCT
cana-5933	112	29	"	"	PUNCT
cana-5933	112	30	moderate	moderate	ADJ
cana-5933	112	31	,	,	PUNCT
cana-5933	112	32	"	"	PUNCT
cana-5933	112	33	and	and	CCONJ
cana-5933	112	34	"	"	PUNCT
cana-5933	112	35	expensive	expensive	ADJ
cana-5933	112	36	.	.	PUNCT
cana-5933	112	37	"	"	PUNCT
cana-5933	113	1	for	for	ADP
cana-5933	113	2	a	a	DET
cana-5933	113	3	product	product	NOUN
cana-5933	113	4	with	with	ADP
cana-5933	113	5	a	a	DET
cana-5933	113	6	price	price	NOUN
cana-5933	113	7	of	of	ADP
cana-5933	113	8	$	$	SYM
cana-5933	113	9	30	30	NUM
cana-5933	113	10	,	,	PUNCT
cana-5933	113	11	it	it	PRON
cana-5933	113	12	could	could	AUX
cana-5933	113	13	have	have	VERB
cana-5933	113	14	a	a	DET
cana-5933	113	15	0.6	0.6	NUM
cana-5933	113	16	membership	membership	NOUN
cana-5933	113	17	in	in	ADP
cana-5933	113	18	"	"	PUNCT
cana-5933	113	19	moderate	moderate	ADJ
cana-5933	113	20	"	"	PUNCT
cana-5933	113	21	and	and	CCONJ
cana-5933	113	22	a	a	DET
cana-5933	113	23	0.4	0.4	NUM
cana-5933	113	24	membership	membership	NOUN
cana-5933	113	25	in	in	ADP
cana-5933	113	26	"	"	PUNCT
cana-5933	113	27	cheap	cheap	ADJ
cana-5933	113	28	.	.	PUNCT
cana-5933	113	29	"	"	PUNCT
cana-5933	114	1	medicine	medicine	NOUN
cana-5933	114	2	and	and	CCONJ
cana-5933	114	3	healthcare	healthcare	PROPN
cana-5933	114	4	:	:	PUNCT
cana-5933	114	5	diagnosis	diagnosis	NOUN
cana-5933	114	6	system	system	NOUN
cana-5933	114	7	:	:	PUNCT
cana-5933	114	8	a	a	DET
cana-5933	114	9	fuzzy	fuzzy	ADJ
cana-5933	114	10	expert	expert	NOUN
cana-5933	114	11	system	system	NOUN
cana-5933	114	12	might	might	AUX
cana-5933	114	13	help	help	VERB
cana-5933	114	14	in	in	ADP
cana-5933	114	15	diagnosing	diagnose	VERB
cana-5933	114	16	diseases	disease	NOUN
cana-5933	114	17	.	.	PUNCT
cana-5933	115	1	for	for	ADP
cana-5933	115	2	example	example	NOUN
cana-5933	115	3	,	,	PUNCT
cana-5933	115	4	a	a	DET
cana-5933	115	5	patient	patient	NOUN
cana-5933	115	6	with	with	ADP
cana-5933	115	7	a	a	DET
cana-5933	115	8	fever	fever	NOUN
cana-5933	115	9	of	of	ADP
cana-5933	115	10	38	38	NUM
cana-5933	115	11	°	°	NOUN
cana-5933	115	12	c	c	NOUN
cana-5933	115	13	might	might	AUX
cana-5933	115	14	have	have	VERB
cana-5933	115	15	a	a	DET
cana-5933	115	16	0.6	0.6	NUM
cana-5933	115	17	membership	membership	NOUN
cana-5933	115	18	in	in	ADP
cana-5933	115	19	the	the	DET
cana-5933	115	20	"	"	PUNCT
cana-5933	115	21	high	high	ADJ
cana-5933	115	22	fever	fever	NOUN
cana-5933	115	23	"	"	PUNCT
cana-5933	115	24	category	category	NOUN
cana-5933	115	25	and	and	CCONJ
cana-5933	115	26	a	a	DET
cana-5933	115	27	0.4	0.4	NUM
cana-5933	115	28	membership	membership	NOUN
cana-5933	115	29	in	in	ADP
cana-5933	115	30	the	the	DET
cana-5933	115	31	"	"	PUNCT
cana-5933	115	32	moderate	moderate	ADJ
cana-5933	115	33	fever	fever	NOUN
cana-5933	115	34	"	"	PUNCT
cana-5933	115	35	category	category	NOUN
cana-5933	115	36	.	.	PUNCT
cana-5933	116	1	the	the	DET
cana-5933	116	2	system	system	NOUN
cana-5933	116	3	uses	use	VERB
cana-5933	116	4	these	these	DET
cana-5933	116	5	degrees	degree	NOUN
cana-5933	116	6	of	of	ADP
cana-5933	116	7	membership	membership	NOUN
cana-5933	116	8	to	to	PART
cana-5933	116	9	recommend	recommend	VERB
cana-5933	116	10	possible	possible	ADJ
cana-5933	116	11	diagnoses	diagnosis	NOUN
cana-5933	116	12	.	.	PUNCT
cana-5933	117	1	3.3	3.3	NUM
cana-5933	117	2	fuzzy	fuzzy	ADJ
cana-5933	117	3	sets	set	NOUN
cana-5933	117	4	applications	application	NOUN
cana-5933	117	5	air	air	NOUN
cana-5933	117	6	conditioners	conditioner	NOUN
cana-5933	117	7	and	and	CCONJ
cana-5933	117	8	refrigerators	refrigerator	NOUN
cana-5933	117	9	:	:	PUNCT
cana-5933	117	10	fuzzy	fuzzy	ADJ
cana-5933	117	11	logic	logic	NOUN
cana-5933	117	12	is	be	AUX
cana-5933	117	13	used	use	VERB
cana-5933	117	14	to	to	PART
cana-5933	117	15	control	control	VERB
cana-5933	117	16	temperature	temperature	NOUN
cana-5933	117	17	,	,	PUNCT
cana-5933	117	18	adjusting	adjust	VERB
cana-5933	117	19	it	it	PRON
cana-5933	117	20	smoothly	smoothly	ADV
cana-5933	117	21	based	base	VERB
cana-5933	117	22	on	on	ADP
cana-5933	117	23	input	input	NOUN
cana-5933	117	24	,	,	PUNCT
cana-5933	117	25	such	such	ADJ
cana-5933	117	26	as	as	ADP
cana-5933	117	27	the	the	DET
cana-5933	117	28	room	room	NOUN
cana-5933	117	29	's	's	PART
cana-5933	117	30	temperature	temperature	NOUN
cana-5933	117	31	.	.	PUNCT
cana-5933	118	1	communications	communication	NOUN
cana-5933	118	2	on	on	ADP
cana-5933	118	3	applied	apply	VERB
cana-5933	118	4	nonlinear	nonlinear	ADJ
cana-5933	118	5	analysis	analysis	NOUN
cana-5933	118	6	issn	issn	NOUN
cana-5933	118	7	:	:	PUNCT
cana-5933	118	8	1074	1074	NUM
cana-5933	118	9	-	-	PUNCT
cana-5933	118	10	133x	133x	NUM
cana-5933	118	11	vol	vol	VERB
cana-5933	118	12	32	32	NUM
cana-5933	118	13	no	no	NOUN
cana-5933	118	14	.	.	PUNCT
cana-5933	119	1	10s	10	NOUN
cana-5933	119	2	(	(	PUNCT
cana-5933	119	3	2025	2025	NUM
cana-5933	119	4	)	)	PUNCT
cana-5933	119	5	3138	3138	NUM
cana-5933	119	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	119	7	washing	washing	NOUN
cana-5933	119	8	machines	machine	NOUN
cana-5933	119	9	:	:	PUNCT
cana-5933	119	10	fuzzy	fuzzy	ADJ
cana-5933	119	11	logic	logic	NOUN
cana-5933	119	12	can	can	AUX
cana-5933	119	13	be	be	AUX
cana-5933	119	14	used	use	VERB
cana-5933	119	15	to	to	PART
cana-5933	119	16	optimize	optimize	VERB
cana-5933	119	17	washing	washing	NOUN
cana-5933	119	18	cycles	cycle	NOUN
cana-5933	119	19	by	by	ADP
cana-5933	119	20	considering	consider	VERB
cana-5933	119	21	various	various	ADJ
cana-5933	119	22	factors	factor	NOUN
cana-5933	119	23	like	like	ADP
cana-5933	119	24	load	load	NOUN
cana-5933	119	25	size	size	NOUN
cana-5933	119	26	,	,	PUNCT
cana-5933	119	27	fabric	fabric	NOUN
cana-5933	119	28	type	type	NOUN
cana-5933	119	29	,	,	PUNCT
cana-5933	119	30	and	and	CCONJ
cana-5933	119	31	dirtiness	dirtiness	NOUN
cana-5933	119	32	,	,	PUNCT
cana-5933	119	33	adjusting	adjust	VERB
cana-5933	119	34	the	the	DET
cana-5933	119	35	washing	washing	NOUN
cana-5933	119	36	time	time	NOUN
cana-5933	119	37	accordingly	accordingly	ADV
cana-5933	119	38	.	.	PUNCT
cana-5933	120	1	automated	automate	VERB
cana-5933	120	2	steering	steering	NOUN
cana-5933	120	3	systems	system	NOUN
cana-5933	120	4	:	:	PUNCT
cana-5933	120	5	fuzzy	fuzzy	ADJ
cana-5933	120	6	logic	logic	NOUN
cana-5933	120	7	helps	help	VERB
cana-5933	120	8	cars	car	NOUN
cana-5933	120	9	make	make	VERB
cana-5933	120	10	decisions	decision	NOUN
cana-5933	120	11	about	about	ADP
cana-5933	120	12	steering	steering	NOUN
cana-5933	120	13	,	,	PUNCT
cana-5933	120	14	braking	braking	NOUN
cana-5933	120	15	,	,	PUNCT
cana-5933	120	16	and	and	CCONJ
cana-5933	120	17	accelerating	accelerate	VERB
cana-5933	120	18	under	under	ADP
cana-5933	120	19	various	various	ADJ
cana-5933	120	20	driving	drive	VERB
cana-5933	120	21	conditions	condition	NOUN
cana-5933	120	22	,	,	PUNCT
cana-5933	120	23	such	such	ADJ
cana-5933	120	24	as	as	ADP
cana-5933	120	25	wet	wet	ADJ
cana-5933	120	26	roads	road	NOUN
cana-5933	120	27	or	or	CCONJ
cana-5933	120	28	heavy	heavy	ADJ
cana-5933	120	29	traffic	traffic	NOUN
cana-5933	120	30	.	.	PUNCT
cana-5933	121	1	decision	decision	NOUN
cana-5933	121	2	making	making	NOUN
cana-5933	121	3	:	:	PUNCT
cana-5933	121	4	fuzzy	fuzzy	ADJ
cana-5933	121	5	logic	logic	NOUN
cana-5933	121	6	systems	system	NOUN
cana-5933	121	7	are	be	AUX
cana-5933	121	8	employed	employ	VERB
cana-5933	121	9	to	to	PART
cana-5933	121	10	assist	assist	VERB
cana-5933	121	11	in	in	ADP
cana-5933	121	12	decision	decision	NOUN
cana-5933	121	13	-	-	PUNCT
cana-5933	121	14	making	make	VERB
cana-5933	121	15	processes	process	NOUN
cana-5933	121	16	where	where	SCONJ
cana-5933	121	17	there	there	PRON
cana-5933	121	18	is	be	VERB
cana-5933	121	19	uncertainty	uncertainty	NOUN
cana-5933	121	20	.	.	PUNCT
cana-5933	122	1	for	for	ADP
cana-5933	122	2	example	example	NOUN
cana-5933	122	3	,	,	PUNCT
cana-5933	122	4	in	in	ADP
cana-5933	122	5	finance	finance	NOUN
cana-5933	122	6	,	,	PUNCT
cana-5933	122	7	a	a	DET
cana-5933	122	8	fuzzy	fuzzy	ADJ
cana-5933	122	9	system	system	NOUN
cana-5933	122	10	might	might	AUX
cana-5933	122	11	be	be	AUX
cana-5933	122	12	used	use	VERB
cana-5933	122	13	to	to	PART
cana-5933	122	14	evaluate	evaluate	VERB
cana-5933	122	15	investment	investment	NOUN
cana-5933	122	16	opportunities	opportunity	NOUN
cana-5933	122	17	or	or	CCONJ
cana-5933	122	18	credit	credit	NOUN
cana-5933	122	19	risk	risk	NOUN
cana-5933	122	20	by	by	ADP
cana-5933	122	21	considering	consider	VERB
cana-5933	122	22	factors	factor	NOUN
cana-5933	122	23	like	like	ADP
cana-5933	122	24	market	market	NOUN
cana-5933	122	25	volatility	volatility	NOUN
cana-5933	122	26	,	,	PUNCT
cana-5933	122	27	company	company	NOUN
cana-5933	122	28	health	health	NOUN
cana-5933	122	29	,	,	PUNCT
cana-5933	122	30	and	and	CCONJ
cana-5933	122	31	economic	economic	ADJ
cana-5933	122	32	conditions	condition	NOUN
cana-5933	122	33	.	.	PUNCT
cana-5933	123	1	image	image	NOUN
cana-5933	123	2	processing	processing	NOUN
cana-5933	123	3	:	:	PUNCT
cana-5933	123	4	fuzzy	fuzzy	ADJ
cana-5933	123	5	logic	logic	NOUN
cana-5933	123	6	helps	help	VERB
cana-5933	123	7	in	in	ADP
cana-5933	123	8	segmenting	segment	VERB
cana-5933	123	9	images	image	NOUN
cana-5933	123	10	,	,	PUNCT
cana-5933	123	11	reducing	reduce	VERB
cana-5933	123	12	noise	noise	NOUN
cana-5933	123	13	,	,	PUNCT
cana-5933	123	14	and	and	CCONJ
cana-5933	123	15	improving	improve	VERB
cana-5933	123	16	image	image	NOUN
cana-5933	123	17	quality	quality	NOUN
cana-5933	123	18	,	,	PUNCT
cana-5933	123	19	especially	especially	ADV
cana-5933	123	20	when	when	SCONJ
cana-5933	123	21	working	work	VERB
cana-5933	123	22	with	with	ADP
cana-5933	123	23	unclear	unclear	ADJ
cana-5933	123	24	or	or	CCONJ
cana-5933	123	25	ambiguous	ambiguous	ADJ
cana-5933	123	26	data	datum	NOUN
cana-5933	123	27	.	.	PUNCT
cana-5933	124	1	it	it	PRON
cana-5933	124	2	is	be	AUX
cana-5933	124	3	often	often	ADV
cana-5933	124	4	used	use	VERB
cana-5933	124	5	in	in	ADP
cana-5933	124	6	medical	medical	ADJ
cana-5933	124	7	imaging	imaging	NOUN
cana-5933	124	8	or	or	CCONJ
cana-5933	124	9	satellite	satellite	NOUN
cana-5933	124	10	image	image	NOUN
cana-5933	124	11	processing	processing	NOUN
cana-5933	124	12	.	.	PUNCT
cana-5933	125	1	expert	expert	NOUN
cana-5933	125	2	systems	system	NOUN
cana-5933	125	3	:	:	PUNCT
cana-5933	125	4	in	in	ADP
cana-5933	125	5	fields	field	NOUN
cana-5933	125	6	like	like	ADP
cana-5933	125	7	medicine	medicine	NOUN
cana-5933	125	8	,	,	PUNCT
cana-5933	125	9	fuzzy	fuzzy	ADJ
cana-5933	125	10	logic	logic	NOUN
cana-5933	125	11	can	can	AUX
cana-5933	125	12	help	help	VERB
cana-5933	125	13	create	create	VERB
cana-5933	125	14	systems	system	NOUN
cana-5933	125	15	that	that	PRON
cana-5933	125	16	simulate	simulate	VERB
cana-5933	125	17	human	human	ADJ
cana-5933	125	18	expert	expert	NOUN
cana-5933	125	19	reasoning	reasoning	NOUN
cana-5933	125	20	.	.	PUNCT
cana-5933	126	1	for	for	ADP
cana-5933	126	2	instance	instance	NOUN
cana-5933	126	3	,	,	PUNCT
cana-5933	126	4	diagnosing	diagnose	VERB
cana-5933	126	5	diseases	disease	NOUN
cana-5933	126	6	based	base	VERB
cana-5933	126	7	on	on	ADP
cana-5933	126	8	vague	vague	ADJ
cana-5933	126	9	and	and	CCONJ
cana-5933	126	10	incomplete	incomplete	ADJ
cana-5933	126	11	symptoms	symptom	NOUN
cana-5933	126	12	is	be	AUX
cana-5933	126	13	an	an	DET
cana-5933	126	14	area	area	NOUN
cana-5933	126	15	where	where	SCONJ
cana-5933	126	16	fuzzy	fuzzy	ADJ
cana-5933	126	17	logic	logic	NOUN
cana-5933	126	18	has	have	AUX
cana-5933	126	19	been	be	AUX
cana-5933	126	20	applied	apply	VERB
cana-5933	126	21	.	.	PUNCT
cana-5933	127	1	robotics	robotic	NOUN
cana-5933	127	2	:	:	PUNCT
cana-5933	127	3	fuzzy	fuzzy	ADJ
cana-5933	127	4	control	control	NOUN
cana-5933	127	5	is	be	AUX
cana-5933	127	6	used	use	VERB
cana-5933	127	7	in	in	ADP
cana-5933	127	8	robotics	robotic	NOUN
cana-5933	127	9	to	to	PART
cana-5933	127	10	help	help	VERB
cana-5933	127	11	machines	machine	NOUN
cana-5933	127	12	make	make	VERB
cana-5933	127	13	more	more	ADJ
cana-5933	127	14	human	human	ADJ
cana-5933	127	15	-	-	PUNCT
cana-5933	127	16	like	like	ADJ
cana-5933	127	17	decisions	decision	NOUN
cana-5933	127	18	.	.	PUNCT
cana-5933	128	1	this	this	PRON
cana-5933	128	2	can	can	AUX
cana-5933	128	3	include	include	VERB
cana-5933	128	4	tasks	task	NOUN
cana-5933	128	5	like	like	ADP
cana-5933	128	6	navigating	navigate	VERB
cana-5933	128	7	unpredictable	unpredictable	ADJ
cana-5933	128	8	environments	environment	NOUN
cana-5933	128	9	,	,	PUNCT
cana-5933	128	10	grasping	grasp	VERB
cana-5933	128	11	objects	object	NOUN
cana-5933	128	12	,	,	PUNCT
cana-5933	128	13	or	or	CCONJ
cana-5933	128	14	interacting	interact	VERB
cana-5933	128	15	with	with	ADP
cana-5933	128	16	people	people	NOUN
cana-5933	128	17	.	.	PUNCT
cana-5933	129	1	consumer	consumer	NOUN
cana-5933	129	2	electronics	electronic	NOUN
cana-5933	129	3	:	:	PUNCT
cana-5933	129	4	products	product	NOUN
cana-5933	129	5	like	like	ADP
cana-5933	129	6	cameras	camera	NOUN
cana-5933	129	7	,	,	PUNCT
cana-5933	129	8	smartphones	smartphone	NOUN
cana-5933	129	9	,	,	PUNCT
cana-5933	129	10	and	and	CCONJ
cana-5933	129	11	smart	smart	ADJ
cana-5933	129	12	home	home	NOUN
cana-5933	129	13	devices	device	NOUN
cana-5933	129	14	use	use	VERB
cana-5933	129	15	fuzzy	fuzzy	ADJ
cana-5933	129	16	logic	logic	NOUN
cana-5933	129	17	to	to	PART
cana-5933	129	18	adjust	adjust	VERB
cana-5933	129	19	settings	setting	NOUN
cana-5933	129	20	dynamically	dynamically	ADV
cana-5933	129	21	based	base	VERB
cana-5933	129	22	on	on	ADP
cana-5933	129	23	various	various	ADJ
cana-5933	129	24	factors	factor	NOUN
cana-5933	129	25	,	,	PUNCT
cana-5933	129	26	such	such	ADJ
cana-5933	129	27	as	as	ADP
cana-5933	129	28	lighting	lighting	NOUN
cana-5933	129	29	conditions	condition	NOUN
cana-5933	129	30	,	,	PUNCT
cana-5933	129	31	motion	motion	NOUN
cana-5933	129	32	detection	detection	NOUN
cana-5933	129	33	,	,	PUNCT
cana-5933	129	34	or	or	CCONJ
cana-5933	129	35	noise	noise	NOUN
cana-5933	129	36	levels	level	NOUN
cana-5933	129	37	.	.	PUNCT
cana-5933	130	1	definition	definition	NOUN
cana-5933	130	2	:	:	PUNCT
cana-5933	130	3	fuzzy	fuzzy	ADJ
cana-5933	130	4	matrix	matrix	NOUN
cana-5933	130	5	fuzzy	fuzzy	ADJ
cana-5933	130	6	matrices	matrix	NOUN
cana-5933	130	7	play	play	VERB
cana-5933	130	8	a	a	DET
cana-5933	130	9	vital	vital	ADJ
cana-5933	130	10	role	role	NOUN
cana-5933	130	11	in	in	ADP
cana-5933	130	12	scientific	scientific	ADJ
cana-5933	130	13	development	development	NOUN
cana-5933	130	14	.	.	PUNCT
cana-5933	131	1	a	a	DET
cana-5933	131	2	fuzzy	fuzzy	ADJ
cana-5933	131	3	matrix	matrix	NOUN
cana-5933	131	4	may	may	AUX
cana-5933	131	5	be	be	AUX
cana-5933	131	6	matrix	matrix	NOUN
cana-5933	131	7	that	that	PRON
cana-5933	131	8	has	have	VERB
cana-5933	131	9	its	its	PRON
cana-5933	131	10	parts	part	NOUN
cana-5933	131	11	from	from	ADP
cana-5933	131	12	[	[	X
cana-5933	131	13	0	0	NUM
cana-5933	131	14	,	,	PUNCT
cana-5933	131	15	1	1	NUM
cana-5933	131	16	]	]	PUNCT
cana-5933	131	17	.	.	PUNCT
cana-5933	132	1	consider	consider	VERB
cana-5933	132	2	a	a	DET
cana-5933	132	3	matrix	matrix	NOUN
cana-5933	132	4	a	a	DET
cana-5933	132	5	=[	=[	NOUN
cana-5933	132	6	𝑎𝑖𝑗	𝑎𝑖𝑗	NOUN
cana-5933	132	7	]	]	X
cana-5933	132	8	3×3	3×3	NUM
cana-5933	132	9	.	.	PUNCT
cana-5933	133	1	where	where	SCONJ
cana-5933	133	2	𝑎𝑖𝑗	𝑎𝑖𝑗	X
cana-5933	133	3	∈	∈	PROPN
cana-5933	133	4	[	[	X
cana-5933	133	5	0,1	0,1	NUM
cana-5933	133	6	]	]	PUNCT
cana-5933	133	7	,	,	PUNCT
cana-5933	133	8	1	1	NUM
cana-5933	133	9	≤	≤	NUM
cana-5933	133	10	𝑗	𝑗	PRON
cana-5933	133	11	≤	≤	NOUN
cana-5933	133	12	𝑛.then	𝑛.then	NOUN
cana-5933	133	13	a	a	PRON
cana-5933	133	14	is	be	AUX
cana-5933	133	15	a	a	DET
cana-5933	133	16	fuzzy	fuzzy	ADJ
cana-5933	133	17	matrix	matrix	NOUN
cana-5933	133	18	.	.	PUNCT
cana-5933	134	1	example	example	NOUN
cana-5933	134	2	:	:	PUNCT
cana-5933	134	3	suppose	suppose	VERB
cana-5933	134	4	we	we	PRON
cana-5933	134	5	have	have	VERB
cana-5933	134	6	a	a	DET
cana-5933	134	7	fuzzy	fuzzy	ADJ
cana-5933	134	8	matrix	matrix	NOUN
cana-5933	134	9	𝐴	𝐴	PROPN
cana-5933	134	10	that	that	PRON
cana-5933	134	11	represents	represent	VERB
cana-5933	134	12	the	the	DET
cana-5933	134	13	degree	degree	NOUN
cana-5933	134	14	of	of	ADP
cana-5933	134	15	membership	membership	NOUN
cana-5933	134	16	of	of	ADP
cana-5933	134	17	various	various	ADJ
cana-5933	134	18	objects	object	NOUN
cana-5933	134	19	to	to	ADP
cana-5933	134	20	a	a	DET
cana-5933	134	21	set	set	NOUN
cana-5933	134	22	of	of	ADP
cana-5933	134	23	fuzzy	fuzzy	ADJ
cana-5933	134	24	relations	relation	NOUN
cana-5933	134	25	.	.	PUNCT
cana-5933	135	1	𝐴	𝐴	PROPN
cana-5933	135	2	=	=	PUNCT
cana-5933	135	3	[	[	PUNCT
cana-5933	135	4	0.8	0.8	NUM
cana-5933	135	5	0.5	0.5	NUM
cana-5933	135	6	0.3	0.3	NUM
cana-5933	135	7	0.6	0.6	NUM
cana-5933	135	8	0.9	0.9	NUM
cana-5933	135	9	0.7	0.7	NUM
cana-5933	135	10	0.4	0.4	NUM
cana-5933	135	11	0.6	0.6	NUM
cana-5933	135	12	0.9	0.9	NUM
cana-5933	135	13	]	]	PUNCT
cana-5933	135	14	in	in	ADP
cana-5933	135	15	this	this	DET
cana-5933	135	16	matrix	matrix	NOUN
cana-5933	135	17	,	,	PUNCT
cana-5933	135	18	a11	a11	PROPN
cana-5933	135	19	=	=	PROPN
cana-5933	135	20	0.8	0.8	NUM
cana-5933	135	21	:	:	PUNCT
cana-5933	135	22	the	the	DET
cana-5933	135	23	degree	degree	NOUN
cana-5933	135	24	of	of	ADP
cana-5933	135	25	membership	membership	NOUN
cana-5933	135	26	of	of	ADP
cana-5933	135	27	the	the	DET
cana-5933	135	28	first	first	ADJ
cana-5933	135	29	object	object	NOUN
cana-5933	135	30	to	to	ADP
cana-5933	135	31	the	the	DET
cana-5933	135	32	first	first	ADJ
cana-5933	135	33	relation	relation	NOUN
cana-5933	135	34	is	be	AUX
cana-5933	135	35	0.8	0.8	NUM
cana-5933	135	36	.	.	PUNCT
cana-5933	136	1	a12	a12	NOUN
cana-5933	136	2	=	=	NUM
cana-5933	136	3	0.5	0.5	NUM
cana-5933	136	4	:	:	PUNCT
cana-5933	136	5	the	the	DET
cana-5933	136	6	degree	degree	NOUN
cana-5933	136	7	of	of	ADP
cana-5933	136	8	membership	membership	NOUN
cana-5933	136	9	of	of	ADP
cana-5933	136	10	the	the	DET
cana-5933	136	11	first	first	ADJ
cana-5933	136	12	object	object	NOUN
cana-5933	136	13	to	to	ADP
cana-5933	136	14	the	the	DET
cana-5933	136	15	second	second	ADJ
cana-5933	136	16	relation	relation	NOUN
cana-5933	136	17	is	be	AUX
cana-5933	136	18	0.5	0.5	NUM
cana-5933	136	19	.	.	PUNCT
cana-5933	137	1	a13	a13	NOUN
cana-5933	137	2	=	=	NUM
cana-5933	137	3	0.3	0.3	NUM
cana-5933	137	4	:	:	PUNCT
cana-5933	137	5	the	the	DET
cana-5933	137	6	degree	degree	NOUN
cana-5933	137	7	of	of	ADP
cana-5933	137	8	membership	membership	NOUN
cana-5933	137	9	of	of	ADP
cana-5933	137	10	the	the	DET
cana-5933	137	11	first	first	ADJ
cana-5933	137	12	object	object	NOUN
cana-5933	137	13	to	to	ADP
cana-5933	137	14	the	the	DET
cana-5933	137	15	third	third	ADJ
cana-5933	137	16	relation	relation	NOUN
cana-5933	137	17	is	be	AUX
cana-5933	137	18	0.3	0.3	NUM
cana-5933	137	19	.	.	PUNCT
cana-5933	138	1	similarly	similarly	ADV
cana-5933	138	2	,	,	PUNCT
cana-5933	138	3	the	the	DET
cana-5933	138	4	other	other	ADJ
cana-5933	138	5	entries	entry	NOUN
cana-5933	138	6	represent	represent	VERB
cana-5933	138	7	degrees	degree	NOUN
cana-5933	138	8	of	of	ADP
cana-5933	138	9	membership	membership	NOUN
cana-5933	138	10	for	for	ADP
cana-5933	138	11	other	other	ADJ
cana-5933	138	12	objects	object	NOUN
cana-5933	138	13	and	and	CCONJ
cana-5933	138	14	relations	relation	NOUN
cana-5933	138	15	.	.	PUNCT
cana-5933	139	1	fuzzy	fuzzy	ADJ
cana-5933	139	2	matrix	matrix	NOUN
cana-5933	139	3	applications	application	NOUN
cana-5933	139	4	decision	decision	NOUN
cana-5933	139	5	making	making	NOUN
cana-5933	139	6	:	:	PUNCT
cana-5933	139	7	fuzzy	fuzzy	ADJ
cana-5933	139	8	matrices	matrix	NOUN
cana-5933	139	9	are	be	AUX
cana-5933	139	10	often	often	ADV
cana-5933	139	11	used	use	VERB
cana-5933	139	12	in	in	ADP
cana-5933	139	13	decision	decision	NOUN
cana-5933	139	14	-	-	PUNCT
cana-5933	139	15	making	make	VERB
cana-5933	139	16	problems	problem	NOUN
cana-5933	139	17	,	,	PUNCT
cana-5933	139	18	where	where	SCONJ
cana-5933	139	19	the	the	DET
cana-5933	139	20	relationships	relationship	NOUN
cana-5933	139	21	between	between	ADP
cana-5933	139	22	options	option	NOUN
cana-5933	139	23	or	or	CCONJ
cana-5933	139	24	criteria	criterion	NOUN
cana-5933	139	25	are	be	AUX
cana-5933	139	26	uncertain	uncertain	ADJ
cana-5933	139	27	or	or	CCONJ
cana-5933	139	28	vague	vague	ADJ
cana-5933	139	29	.	.	PUNCT
cana-5933	140	1	for	for	ADP
cana-5933	140	2	example	example	NOUN
cana-5933	140	3	,	,	PUNCT
cana-5933	140	4	in	in	ADP
cana-5933	140	5	multi	multi	ADJ
cana-5933	140	6	-	-	ADJ
cana-5933	140	7	criteria	criteria	ADJ
cana-5933	140	8	decision	decision	NOUN
cana-5933	140	9	analysis	analysis	NOUN
cana-5933	140	10	,	,	PUNCT
cana-5933	140	11	fuzzy	fuzzy	ADJ
cana-5933	140	12	matrices	matrix	NOUN
cana-5933	140	13	can	can	AUX
cana-5933	140	14	represent	represent	VERB
cana-5933	140	15	the	the	DET
cana-5933	140	16	relative	relative	ADJ
cana-5933	140	17	importance	importance	NOUN
cana-5933	140	18	of	of	ADP
cana-5933	140	19	different	different	ADJ
cana-5933	140	20	criteria	criterion	NOUN
cana-5933	140	21	.	.	PUNCT
cana-5933	141	1	communications	communication	NOUN
cana-5933	141	2	on	on	ADP
cana-5933	141	3	applied	apply	VERB
cana-5933	141	4	nonlinear	nonlinear	ADJ
cana-5933	141	5	analysis	analysis	NOUN
cana-5933	141	6	issn	issn	NOUN
cana-5933	141	7	:	:	PUNCT
cana-5933	141	8	1074	1074	NUM
cana-5933	141	9	-	-	PUNCT
cana-5933	141	10	133x	133x	NUM
cana-5933	141	11	vol	vol	VERB
cana-5933	141	12	32	32	NUM
cana-5933	141	13	no	no	NOUN
cana-5933	141	14	.	.	PUNCT
cana-5933	142	1	10s	10	NOUN
cana-5933	142	2	(	(	PUNCT
cana-5933	142	3	2025	2025	NUM
cana-5933	142	4	)	)	PUNCT
cana-5933	142	5	3139	3139	NUM
cana-5933	142	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	142	7	control	control	NOUN
cana-5933	142	8	systems	system	NOUN
cana-5933	142	9	:	:	PUNCT
cana-5933	142	10	in	in	ADP
cana-5933	142	11	systems	system	NOUN
cana-5933	142	12	where	where	SCONJ
cana-5933	142	13	control	control	NOUN
cana-5933	142	14	strategies	strategy	NOUN
cana-5933	142	15	are	be	AUX
cana-5933	142	16	not	not	PART
cana-5933	142	17	precisely	precisely	ADV
cana-5933	142	18	defined	define	VERB
cana-5933	142	19	,	,	PUNCT
cana-5933	142	20	fuzzy	fuzzy	ADJ
cana-5933	142	21	matrices	matrix	NOUN
cana-5933	142	22	can	can	AUX
cana-5933	142	23	represent	represent	VERB
cana-5933	142	24	varying	vary	VERB
cana-5933	142	25	degrees	degree	NOUN
cana-5933	142	26	of	of	ADP
cana-5933	142	27	control	control	NOUN
cana-5933	142	28	actions	action	NOUN
cana-5933	142	29	that	that	PRON
cana-5933	142	30	depend	depend	VERB
cana-5933	142	31	on	on	ADP
cana-5933	142	32	multiple	multiple	ADJ
cana-5933	142	33	inputs	input	NOUN
cana-5933	142	34	(	(	PUNCT
cana-5933	142	35	e.g.	e.g.	ADV
cana-5933	142	36	,	,	PUNCT
cana-5933	142	37	temperature	temperature	NOUN
cana-5933	142	38	,	,	PUNCT
cana-5933	142	39	pressure	pressure	NOUN
cana-5933	142	40	,	,	PUNCT
cana-5933	142	41	and	and	CCONJ
cana-5933	142	42	speed	speed	NOUN
cana-5933	142	43	)	)	PUNCT
cana-5933	142	44	.	.	PUNCT
cana-5933	143	1	pattern	pattern	NOUN
cana-5933	143	2	recognition	recognition	NOUN
cana-5933	143	3	:	:	PUNCT
cana-5933	143	4	in	in	ADP
cana-5933	143	5	pattern	pattern	NOUN
cana-5933	143	6	recognition	recognition	NOUN
cana-5933	143	7	and	and	CCONJ
cana-5933	143	8	machine	machine	NOUN
cana-5933	143	9	learning	learning	NOUN
cana-5933	143	10	,	,	PUNCT
cana-5933	143	11	fuzzy	fuzzy	ADJ
cana-5933	143	12	matrices	matrix	NOUN
cana-5933	143	13	can	can	AUX
cana-5933	143	14	be	be	AUX
cana-5933	143	15	used	use	VERB
cana-5933	143	16	to	to	PART
cana-5933	143	17	model	model	VERB
cana-5933	143	18	relationships	relationship	NOUN
cana-5933	143	19	between	between	ADP
cana-5933	143	20	features	feature	NOUN
cana-5933	143	21	or	or	CCONJ
cana-5933	143	22	between	between	ADP
cana-5933	143	23	clusters	cluster	NOUN
cana-5933	143	24	in	in	ADP
cana-5933	143	25	a	a	DET
cana-5933	143	26	way	way	NOUN
cana-5933	143	27	that	that	PRON
cana-5933	143	28	accommodates	accommodate	VERB
cana-5933	143	29	uncertainty	uncertainty	NOUN
cana-5933	143	30	in	in	ADP
cana-5933	143	31	the	the	DET
cana-5933	143	32	data	datum	NOUN
cana-5933	143	33	.	.	PUNCT
cana-5933	144	1	fuzzy	fuzzy	ADJ
cana-5933	144	2	relation	relation	NOUN
cana-5933	144	3	equations	equation	NOUN
cana-5933	144	4	:	:	PUNCT
cana-5933	144	5	fuzzy	fuzzy	ADJ
cana-5933	144	6	matrices	matrix	NOUN
cana-5933	144	7	are	be	AUX
cana-5933	144	8	used	use	VERB
cana-5933	144	9	to	to	PART
cana-5933	144	10	solve	solve	VERB
cana-5933	144	11	fuzzy	fuzzy	ADJ
cana-5933	144	12	relation	relation	NOUN
cana-5933	144	13	equations	equation	NOUN
cana-5933	144	14	,	,	PUNCT
cana-5933	144	15	where	where	SCONJ
cana-5933	144	16	the	the	DET
cana-5933	144	17	relationships	relationship	NOUN
cana-5933	144	18	between	between	ADP
cana-5933	144	19	entities	entity	NOUN
cana-5933	144	20	are	be	AUX
cana-5933	144	21	uncertain	uncertain	ADJ
cana-5933	144	22	or	or	CCONJ
cana-5933	144	23	imprecise	imprecise	NOUN
cana-5933	144	24	.	.	PUNCT
cana-5933	145	1	4	4	X
cana-5933	145	2	.	.	X
cana-5933	145	3	intuitionistic	intuitionistic	ADJ
cana-5933	145	4	fuzzy	fuzzy	ADJ
cana-5933	145	5	matrix	matrix	NOUN
cana-5933	145	6	intuitionistic	intuitionistic	ADJ
cana-5933	145	7	fuzzy	fuzzy	ADJ
cana-5933	145	8	sets	set	NOUN
cana-5933	145	9	are	be	AUX
cana-5933	145	10	sets	set	NOUN
cana-5933	145	11	whose	whose	DET
cana-5933	145	12	elements	element	NOUN
cana-5933	145	13	have	have	VERB
cana-5933	145	14	degrees	degree	NOUN
cana-5933	145	15	of	of	ADP
cana-5933	145	16	membership	membership	NOUN
cana-5933	145	17	and	and	CCONJ
cana-5933	145	18	non	non	ADJ
cana-5933	145	19	-	-	ADJ
cana-5933	145	20	membership	membership	ADJ
cana-5933	145	21	function	function	NOUN
cana-5933	145	22	.	.	PUNCT
cana-5933	146	1	an	an	DET
cana-5933	146	2	intuitionistic	intuitionistic	ADJ
cana-5933	146	3	fuzzy	fuzzy	ADJ
cana-5933	146	4	set	set	NOUN
cana-5933	146	5	a	a	PRON
cana-5933	146	6	is	be	AUX
cana-5933	146	7	a	a	DET
cana-5933	146	8	non	non	ADJ
cana-5933	146	9	-	-	ADJ
cana-5933	146	10	empty	empty	ADJ
cana-5933	146	11	set	set	NOUN
cana-5933	146	12	x	x	PUNCT
cana-5933	146	13	is	be	AUX
cana-5933	146	14	an	an	DET
cana-5933	146	15	object	object	NOUN
cana-5933	146	16	having	have	VERB
cana-5933	146	17	the	the	DET
cana-5933	146	18	form	form	NOUN
cana-5933	146	19	a	a	DET
cana-5933	146	20	=	=	SYM
cana-5933	146	21			PROPN
cana-5933	146	22	x	x	NOUN
cana-5933	146	23	,	,	PUNCT
cana-5933	146	24			NOUN
cana-5933	146	25	𝐴	𝐴	NOUN
cana-5933	146	26	(	(	PUNCT
cana-5933	146	27	𝑥	𝑥	NOUN
cana-5933	146	28	)	)	PUNCT
cana-5933	146	29	,	,	PUNCT
cana-5933	146	30	𝑣𝐴	𝑣𝐴	NOUN
cana-5933	146	31	(	(	PUNCT
cana-5933	146	32	𝑥)|	𝑥)|	NOUN
cana-5933	146	33	xe	xe	PROPN
cana-5933	147	1			PROPN
cana-5933	147	2	and	and	CCONJ
cana-5933	147	3	satisfies	satisfie	NOUN
cana-5933	147	4	0	0	NUM
cana-5933	147	5			NUM
cana-5933	147	6			NOUN
cana-5933	147	7	𝐴	𝐴	NOUN
cana-5933	147	8	(	(	PUNCT
cana-5933	147	9	𝑥	𝑥	NOUN
cana-5933	147	10	)	)	PUNCT
cana-5933	147	11	+	+	CCONJ
cana-5933	147	12	𝑣𝐴	𝑣𝐴	NOUN
cana-5933	147	13	(	(	PUNCT
cana-5933	147	14	𝑥	𝑥	NOUN
cana-5933	147	15	)	)	PUNCT
cana-5933	147	16	1	1	NOUN
cana-5933	147	17	.	.	PUNCT
cana-5933	148	1	an	an	DET
cana-5933	148	2	intuitionistic	intuitionistic	ADJ
cana-5933	148	3	fuzzy	fuzzy	ADJ
cana-5933	148	4	matrix	matrix	NOUN
cana-5933	148	5	(	(	PUNCT
cana-5933	148	6	ifm	ifm	NOUN
cana-5933	148	7	)	)	PUNCT
cana-5933	148	8	a	a	PRON
cana-5933	148	9	of	of	ADP
cana-5933	148	10	order	order	NOUN
cana-5933	148	11	𝑚	𝑚	X
cana-5933	148	12	×	×	NOUN
cana-5933	148	13	𝑛	𝑛	PROPN
cana-5933	148	14	is	be	AUX
cana-5933	148	15	defined	define	VERB
cana-5933	148	16	as	as	ADP
cana-5933	148	17	a	a	DET
cana-5933	148	18	=[	=[	NOUN
cana-5933	148	19	𝑥𝑖𝑗	𝑥𝑖𝑗	PROPN
cana-5933	148	20	,	,	PUNCT
cana-5933	148	21	<	<	X
cana-5933	148	22	𝑎𝑖𝑗𝜇	𝑎𝑖𝑗𝜇	PROPN
cana-5933	148	23	,	,	PUNCT
cana-5933	148	24	𝑎𝑖𝑗𝑣	𝑎𝑖𝑗𝑣	NOUN
cana-5933	148	25	>	>	X
cana-5933	148	26	]	]	X
cana-5933	148	27	𝑚×𝑛	𝑚×𝑛	PROPN
cana-5933	148	28	,	,	PUNCT
cana-5933	148	29	where	where	SCONJ
cana-5933	148	30	𝑎𝑖𝑗𝜇	𝑎𝑖𝑗𝜇	NOUN
cana-5933	148	31	and	and	CCONJ
cana-5933	148	32	𝑎𝑖𝑗𝑣	𝑎𝑖𝑗𝑣	PROPN
cana-5933	148	33	are	be	AUX
cana-5933	148	34	called	call	VERB
cana-5933	148	35	membership	membership	NOUN
cana-5933	148	36	and	and	CCONJ
cana-5933	148	37	nonmembership	nonmembership	NOUN
cana-5933	148	38	values	value	NOUN
cana-5933	148	39	of	of	ADP
cana-5933	148	40	𝑥𝑖𝑗in	𝑥𝑖𝑗in	NOUN
cana-5933	148	41	a	a	PRON
cana-5933	148	42	,	,	PUNCT
cana-5933	148	43	which	which	PRON
cana-5933	148	44	maintaining	maintain	VERB
cana-5933	148	45	the	the	DET
cana-5933	148	46	condition	condition	NOUN
cana-5933	148	47	0	0	NUM
cana-5933	148	48	≤	≤	NUM
cana-5933	148	49	𝑎𝑖𝑗𝜇	𝑎𝑖𝑗𝜇	NOUN
cana-5933	148	50	+	+	CCONJ
cana-5933	148	51	𝑎𝑖𝑗𝑣≤	𝑎𝑖𝑗𝑣≤	PROPN
cana-5933	148	52	1	1	NUM
cana-5933	148	53	.	.	PUNCT
cana-5933	148	54	for	for	ADP
cana-5933	148	55	simplicity	simplicity	NOUN
cana-5933	148	56	,	,	PUNCT
cana-5933	148	57	we	we	PRON
cana-5933	148	58	write	write	VERB
cana-5933	148	59	a	a	PRON
cana-5933	148	60	=	=	PUNCT
cana-5933	149	1	[	[	X
cana-5933	149	2	𝑥𝑖𝑗	𝑥𝑖𝑗	ADJ
cana-5933	149	3	,	,	PUNCT
cana-5933	149	4	𝑎𝑖𝑗]𝑚×𝑛	𝑎𝑖𝑗]𝑚×𝑛	NOUN
cana-5933	149	5	or	or	CCONJ
cana-5933	149	6	simply[𝑎𝑖𝑗]𝑚×𝑛.	simply[𝑎𝑖𝑗]𝑚×𝑛.	PROPN
cana-5933	150	1	where	where	SCONJ
cana-5933	150	2	𝑎𝑖𝑗	𝑎𝑖𝑗	NOUN
cana-5933	150	3	=	=	NOUN
cana-5933	150	4	<	<	X
cana-5933	150	5	𝑎𝑖𝑗𝜇	𝑎𝑖𝑗𝜇	PROPN
cana-5933	150	6	,	,	PUNCT
cana-5933	150	7	𝑎𝑖𝑗𝑣	𝑎𝑖𝑗𝑣	PROPN
cana-5933	150	8	>	>	X
cana-5933	150	9	example	example	NOUN
cana-5933	151	1	𝐴	𝐴	PROPN
cana-5933	151	2	=	=	PRON
cana-5933	152	1	[	[	PUNCT
cana-5933	152	2	(	(	PUNCT
cana-5933	152	3	0.7	0.7	NUM
cana-5933	152	4	,	,	PUNCT
cana-5933	152	5	0.2	0.2	NUM
cana-5933	152	6	)	)	PUNCT
cana-5933	152	7	(	(	PUNCT
cana-5933	152	8	0.5	0.5	NUM
cana-5933	152	9	,	,	PUNCT
cana-5933	152	10	0.3	0.3	NUM
cana-5933	152	11	)	)	PUNCT
cana-5933	152	12	(	(	PUNCT
cana-5933	152	13	0.4	0.4	NUM
cana-5933	152	14	,	,	PUNCT
cana-5933	152	15	0.5	0.5	NUM
cana-5933	152	16	)	)	PUNCT
cana-5933	152	17	(	(	PUNCT
cana-5933	152	18	0.6	0.6	NUM
cana-5933	152	19	,	,	PUNCT
cana-5933	152	20	0.3	0.3	NUM
cana-5933	152	21	)	)	PUNCT
cana-5933	152	22	(	(	PUNCT
cana-5933	152	23	0.8	0.8	NUM
cana-5933	152	24	,	,	PUNCT
cana-5933	152	25	0.1	0.1	NUM
cana-5933	152	26	)	)	PUNCT
cana-5933	152	27	(	(	PUNCT
cana-5933	152	28	0.7	0.7	NUM
cana-5933	152	29	,	,	PUNCT
cana-5933	152	30	0.2	0.2	NUM
cana-5933	152	31	)	)	PUNCT
cana-5933	152	32	(	(	PUNCT
cana-5933	152	33	0.5	0.5	NUM
cana-5933	152	34	,	,	PUNCT
cana-5933	152	35	0.4	0.4	NUM
cana-5933	152	36	)	)	PUNCT
cana-5933	152	37	(	(	PUNCT
cana-5933	152	38	0.6	0.6	NUM
cana-5933	152	39	,	,	PUNCT
cana-5933	152	40	0.3	0.3	NUM
cana-5933	152	41	)	)	PUNCT
cana-5933	152	42	(	(	PUNCT
cana-5933	152	43	0.9	0.9	NUM
cana-5933	152	44	,	,	PUNCT
cana-5933	152	45	0.05	0.05	NUM
cana-5933	152	46	)	)	PUNCT
cana-5933	152	47	]	]	PUNCT
cana-5933	152	48	in	in	ADP
cana-5933	152	49	this	this	DET
cana-5933	152	50	matrix	matrix	NOUN
cana-5933	152	51	:	:	PUNCT
cana-5933	152	52	the	the	DET
cana-5933	152	53	first	first	ADJ
cana-5933	152	54	entry	entry	NOUN
cana-5933	152	55	(	(	PUNCT
cana-5933	152	56	0.7	0.7	NUM
cana-5933	152	57	,	,	PUNCT
cana-5933	152	58	0.2	0.2	NUM
cana-5933	152	59	)	)	PUNCT
cana-5933	152	60	means	mean	VERB
cana-5933	152	61	the	the	DET
cana-5933	152	62	degree	degree	NOUN
cana-5933	152	63	of	of	ADP
cana-5933	152	64	membership	membership	NOUN
cana-5933	152	65	for	for	ADP
cana-5933	152	66	the	the	DET
cana-5933	152	67	first	first	ADJ
cana-5933	152	68	element	element	NOUN
cana-5933	152	69	in	in	ADP
cana-5933	152	70	the	the	DET
cana-5933	152	71	first	first	ADJ
cana-5933	152	72	relation	relation	NOUN
cana-5933	152	73	is	be	AUX
cana-5933	152	74	0.7	0.7	NUM
cana-5933	152	75	,	,	PUNCT
cana-5933	152	76	and	and	CCONJ
cana-5933	152	77	the	the	DET
cana-5933	152	78	degree	degree	NOUN
cana-5933	152	79	of	of	ADP
cana-5933	152	80	non	non	ADJ
cana-5933	152	81	-	-	NOUN
cana-5933	152	82	membership	membership	NOUN
cana-5933	152	83	is	be	AUX
cana-5933	152	84	0.2	0.2	NUM
cana-5933	152	85	.	.	PUNCT
cana-5933	153	1	the	the	DET
cana-5933	153	2	second	second	ADJ
cana-5933	153	3	entry	entry	NOUN
cana-5933	153	4	(	(	PUNCT
cana-5933	153	5	0.5	0.5	NUM
cana-5933	153	6	,	,	PUNCT
cana-5933	153	7	0.3	0.3	NUM
cana-5933	153	8	)	)	PUNCT
cana-5933	153	9	means	mean	VERB
cana-5933	153	10	the	the	DET
cana-5933	153	11	degree	degree	NOUN
cana-5933	153	12	of	of	ADP
cana-5933	153	13	membership	membership	NOUN
cana-5933	153	14	for	for	ADP
cana-5933	153	15	the	the	DET
cana-5933	153	16	first	first	ADJ
cana-5933	153	17	element	element	NOUN
cana-5933	153	18	in	in	ADP
cana-5933	153	19	the	the	DET
cana-5933	153	20	second	second	ADJ
cana-5933	153	21	relation	relation	NOUN
cana-5933	153	22	is	be	AUX
cana-5933	153	23	0.5	0.5	NUM
cana-5933	153	24	,	,	PUNCT
cana-5933	153	25	and	and	CCONJ
cana-5933	153	26	the	the	DET
cana-5933	153	27	degree	degree	NOUN
cana-5933	153	28	of	of	ADP
cana-5933	153	29	non	non	ADJ
cana-5933	153	30	-	-	NOUN
cana-5933	153	31	membership	membership	NOUN
cana-5933	153	32	is	be	AUX
cana-5933	153	33	0.3	0.3	NUM
cana-5933	153	34	.	.	PUNCT
cana-5933	154	1	the	the	DET
cana-5933	154	2	sum	sum	NOUN
cana-5933	154	3	of	of	ADP
cana-5933	154	4	membership	membership	NOUN
cana-5933	154	5	and	and	CCONJ
cana-5933	154	6	non	non	ADJ
cana-5933	154	7	-	-	NOUN
cana-5933	154	8	membership	membership	NOUN
cana-5933	154	9	for	for	ADP
cana-5933	154	10	each	each	DET
cana-5933	154	11	pair	pair	NOUN
cana-5933	154	12	is	be	AUX
cana-5933	154	13	less	less	ADJ
cana-5933	154	14	than	than	ADP
cana-5933	154	15	or	or	CCONJ
cana-5933	154	16	equal	equal	ADJ
cana-5933	154	17	to	to	ADP
cana-5933	154	18	1	1	NUM
cana-5933	154	19	.	.	PUNCT
cana-5933	154	20	applications	application	NOUN
cana-5933	154	21	of	of	ADP
cana-5933	154	22	intuitionistic	intuitionistic	ADJ
cana-5933	154	23	fuzzy	fuzzy	ADJ
cana-5933	154	24	matrices	matrix	NOUN
cana-5933	154	25	decision	decision	NOUN
cana-5933	154	26	making	making	NOUN
cana-5933	154	27	:	:	PUNCT
cana-5933	154	28	in	in	ADP
cana-5933	154	29	decision	decision	NOUN
cana-5933	154	30	-	-	PUNCT
cana-5933	154	31	making	make	VERB
cana-5933	154	32	problems	problem	NOUN
cana-5933	154	33	,	,	PUNCT
cana-5933	154	34	especially	especially	ADV
cana-5933	154	35	multi	multi	ADJ
cana-5933	154	36	-	-	ADJ
cana-5933	154	37	criteria	criterion	NOUN
cana-5933	154	38	decision	decision	NOUN
cana-5933	154	39	making	making	NOUN
cana-5933	154	40	(	(	PUNCT
cana-5933	154	41	mcdm	mcdm	ADJ
cana-5933	154	42	)	)	PUNCT
cana-5933	154	43	,	,	PUNCT
cana-5933	154	44	where	where	SCONJ
cana-5933	154	45	decisions	decision	NOUN
cana-5933	154	46	are	be	AUX
cana-5933	154	47	based	base	VERB
cana-5933	154	48	on	on	ADP
cana-5933	154	49	uncertain	uncertain	ADJ
cana-5933	154	50	or	or	CCONJ
cana-5933	154	51	incomplete	incomplete	ADJ
cana-5933	154	52	information	information	NOUN
cana-5933	154	53	.	.	PUNCT
cana-5933	155	1	intuitionistic	intuitionistic	ADJ
cana-5933	155	2	fuzzy	fuzzy	ADJ
cana-5933	155	3	matrices	matrix	NOUN
cana-5933	155	4	are	be	AUX
cana-5933	155	5	useful	useful	ADJ
cana-5933	155	6	in	in	ADP
cana-5933	155	7	representing	represent	VERB
cana-5933	155	8	the	the	DET
cana-5933	155	9	degrees	degree	NOUN
cana-5933	155	10	of	of	ADP
cana-5933	155	11	uncertainty	uncertainty	NOUN
cana-5933	155	12	between	between	ADP
cana-5933	155	13	criteria	criterion	NOUN
cana-5933	155	14	and	and	CCONJ
cana-5933	155	15	alternatives	alternative	NOUN
cana-5933	155	16	.	.	PUNCT
cana-5933	156	1	control	control	NOUN
cana-5933	156	2	systems	system	NOUN
cana-5933	156	3	:	:	PUNCT
cana-5933	156	4	intuitionistic	intuitionistic	ADJ
cana-5933	156	5	fuzzy	fuzzy	ADJ
cana-5933	156	6	matrices	matrix	NOUN
cana-5933	156	7	can	can	AUX
cana-5933	156	8	be	be	AUX
cana-5933	156	9	used	use	VERB
cana-5933	156	10	in	in	ADP
cana-5933	156	11	fuzzy	fuzzy	ADJ
cana-5933	156	12	control	control	NOUN
cana-5933	156	13	systems	system	NOUN
cana-5933	156	14	where	where	SCONJ
cana-5933	156	15	both	both	CCONJ
cana-5933	156	16	the	the	DET
cana-5933	156	17	membership	membership	NOUN
cana-5933	156	18	and	and	CCONJ
cana-5933	156	19	non	non	ADJ
cana-5933	156	20	-	-	ADJ
cana-5933	156	21	membership	membership	ADJ
cana-5933	156	22	information	information	NOUN
cana-5933	156	23	is	be	AUX
cana-5933	156	24	needed	need	VERB
cana-5933	156	25	for	for	ADP
cana-5933	156	26	making	make	VERB
cana-5933	156	27	real	real	ADJ
cana-5933	156	28	-	-	PUNCT
cana-5933	156	29	time	time	NOUN
cana-5933	156	30	control	control	NOUN
cana-5933	156	31	decisions	decision	NOUN
cana-5933	156	32	.	.	PUNCT
cana-5933	157	1	data	datum	NOUN
cana-5933	157	2	mining	mining	NOUN
cana-5933	157	3	:	:	PUNCT
cana-5933	157	4	in	in	ADP
cana-5933	157	5	clustering	cluster	VERB
cana-5933	157	6	and	and	CCONJ
cana-5933	157	7	classification	classification	NOUN
cana-5933	157	8	tasks	task	NOUN
cana-5933	157	9	,	,	PUNCT
cana-5933	157	10	intuitionistic	intuitionistic	ADJ
cana-5933	157	11	fuzzy	fuzzy	ADJ
cana-5933	157	12	matrices	matrix	NOUN
cana-5933	157	13	can	can	AUX
cana-5933	157	14	represent	represent	VERB
cana-5933	157	15	the	the	DET
cana-5933	157	16	uncertain	uncertain	ADJ
cana-5933	157	17	membership	membership	NOUN
cana-5933	157	18	of	of	ADP
cana-5933	157	19	data	datum	NOUN
cana-5933	157	20	points	point	NOUN
cana-5933	157	21	in	in	ADP
cana-5933	157	22	multiple	multiple	ADJ
cana-5933	157	23	clusters	cluster	NOUN
cana-5933	157	24	.	.	PUNCT
cana-5933	158	1	pattern	pattern	NOUN
cana-5933	158	2	recognition	recognition	NOUN
cana-5933	158	3	:	:	PUNCT
cana-5933	158	4	intuitionistic	intuitionistic	ADJ
cana-5933	158	5	fuzzy	fuzzy	ADJ
cana-5933	158	6	matrices	matrix	NOUN
cana-5933	158	7	are	be	AUX
cana-5933	158	8	useful	useful	ADJ
cana-5933	158	9	in	in	ADP
cana-5933	158	10	representing	represent	VERB
cana-5933	158	11	the	the	DET
cana-5933	158	12	relationships	relationship	NOUN
cana-5933	158	13	between	between	ADP
cana-5933	158	14	different	different	ADJ
cana-5933	158	15	features	feature	NOUN
cana-5933	158	16	,	,	PUNCT
cana-5933	158	17	especially	especially	ADV
cana-5933	158	18	when	when	SCONJ
cana-5933	158	19	dealing	deal	VERB
cana-5933	158	20	with	with	ADP
cana-5933	158	21	vague	vague	ADJ
cana-5933	158	22	or	or	CCONJ
cana-5933	158	23	incomplete	incomplete	ADJ
cana-5933	158	24	data	datum	NOUN
cana-5933	158	25	.	.	PUNCT
cana-5933	159	1	communications	communication	NOUN
cana-5933	159	2	on	on	ADP
cana-5933	159	3	applied	apply	VERB
cana-5933	159	4	nonlinear	nonlinear	ADJ
cana-5933	159	5	analysis	analysis	NOUN
cana-5933	159	6	issn	issn	NOUN
cana-5933	159	7	:	:	PUNCT
cana-5933	159	8	1074	1074	NUM
cana-5933	159	9	-	-	PUNCT
cana-5933	159	10	133x	133x	NUM
cana-5933	159	11	vol	vol	VERB
cana-5933	159	12	32	32	NUM
cana-5933	159	13	no	no	NOUN
cana-5933	159	14	.	.	PUNCT
cana-5933	160	1	10s	10	NOUN
cana-5933	160	2	(	(	PUNCT
cana-5933	160	3	2025	2025	NUM
cana-5933	160	4	)	)	PUNCT
cana-5933	160	5	3140	3140	NUM
cana-5933	160	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	160	7	expert	expert	NOUN
cana-5933	160	8	systems	system	NOUN
cana-5933	160	9	:	:	PUNCT
cana-5933	160	10	in	in	ADP
cana-5933	160	11	expert	expert	NOUN
cana-5933	160	12	systems	system	NOUN
cana-5933	160	13	,	,	PUNCT
cana-5933	160	14	where	where	SCONJ
cana-5933	160	15	knowledge	knowledge	NOUN
cana-5933	160	16	is	be	AUX
cana-5933	160	17	often	often	ADV
cana-5933	160	18	vague	vague	ADJ
cana-5933	160	19	,	,	PUNCT
cana-5933	160	20	intuitionistic	intuitionistic	ADJ
cana-5933	160	21	fuzzy	fuzzy	ADJ
cana-5933	160	22	logic	logic	NOUN
cana-5933	160	23	can	can	AUX
cana-5933	160	24	be	be	AUX
cana-5933	160	25	used	use	VERB
cana-5933	160	26	to	to	PART
cana-5933	160	27	model	model	VERB
cana-5933	160	28	the	the	DET
cana-5933	160	29	expert	expert	NOUN
cana-5933	160	30	's	's	PART
cana-5933	160	31	uncertainty	uncertainty	NOUN
cana-5933	160	32	.	.	PUNCT
cana-5933	161	1	5	5	X
cana-5933	161	2	.	.	X
cana-5933	161	3	necessity	necessity	NOUN
cana-5933	161	4	fuzzy	fuzzy	ADJ
cana-5933	161	5	operators	operator	NOUN
cana-5933	161	6	definition	definition	NOUN
cana-5933	161	7	:	:	PUNCT
cana-5933	161	8	let	let	VERB
cana-5933	161	9	x	x	PRON
cana-5933	161	10	be	be	AUX
cana-5933	161	11	nonempty	nonempty	ADJ
cana-5933	161	12	.	.	PUNCT
cana-5933	162	1	if	if	SCONJ
cana-5933	162	2	a	a	PRON
cana-5933	162	3	is	be	AUX
cana-5933	162	4	an	an	DET
cana-5933	162	5	ifs	ifs	NOUN
cana-5933	162	6	drawn	draw	VERB
cana-5933	162	7	from	from	ADP
cana-5933	162	8	x	x	PRON
cana-5933	162	9	,	,	PUNCT
cana-5933	162	10	then	then	ADV
cana-5933	162	11	a	a	PROPN
cana-5933	162	12	=	=	PUNCT
cana-5933	162	13	{	{	PUNCT
cana-5933	162	14	x	x	NOUN
cana-5933	162	15	,	,	PUNCT
cana-5933	162	16	μa(x	μa(x	NOUN
cana-5933	162	17	):	):	PUNCT
cana-5933	162	18	xx	xx	SYM
cana-5933	162	19	}	}	PUNCT
cana-5933	162	20	=	=	SYM
cana-5933	162	21	{	{	PUNCT
cana-5933	162	22	x	x	NOUN
cana-5933	162	23	,	,	PUNCT
cana-5933	162	24	μa(x	μa(x	NOUN
cana-5933	162	25	)	)	PUNCT
cana-5933	162	26	,	,	PUNCT
cana-5933	162	27	1	1	NUM
cana-5933	162	28	−	−	NOUN
cana-5933	162	29	𝜇𝐴(x	𝜇𝐴(x	PROPN
cana-5933	162	30	):	):	PUNCT
cana-5933	162	31	xx	xx	PRON
cana-5933	162	32	}	}	PUNCT
cana-5933	162	33	example	example	NOUN
cana-5933	162	34	𝐴	𝐴	NOUN
cana-5933	162	35	=	=	PUNCT
cana-5933	163	1	[	[	PUNCT
cana-5933	163	2	(	(	PUNCT
cana-5933	163	3	.2	.2	NUM
cana-5933	163	4	,	,	PUNCT
cana-5933	163	5	.5	.5	NUM
cana-5933	163	6	)	)	PUNCT
cana-5933	163	7	(	(	PUNCT
cana-5933	163	8	.3	.3	NUM
cana-5933	163	9	,	,	PUNCT
cana-5933	163	10	.8	.8	NUM
cana-5933	163	11	)	)	PUNCT
cana-5933	163	12	(	(	PUNCT
cana-5933	163	13	.4	.4	PROPN
cana-5933	163	14	,	,	PUNCT
cana-5933	163	15	.6	.6	NUM
cana-5933	163	16	)	)	PUNCT
cana-5933	163	17	(	(	PUNCT
cana-5933	163	18	.5	.5	NUM
cana-5933	163	19	,	,	PUNCT
cana-5933	163	20	.7	.7	PROPN
cana-5933	163	21	)	)	PUNCT
cana-5933	163	22	]	]	PUNCT
cana-5933	163	23	a	a	PROPN
cana-5933	163	24	=	=	PUNCT
cana-5933	163	25	{	{	PUNCT
cana-5933	163	26	x	x	NOUN
cana-5933	163	27	,	,	PUNCT
cana-5933	163	28	μa(x	μa(x	NOUN
cana-5933	163	29	):	):	PUNCT
cana-5933	163	30	xx	xx	SYM
cana-5933	163	31	}	}	PUNCT
cana-5933	163	32	=	=	SYM
cana-5933	163	33	{	{	PUNCT
cana-5933	163	34	x	x	NOUN
cana-5933	163	35	,	,	PUNCT
cana-5933	163	36	μa(x	μa(x	NOUN
cana-5933	163	37	)	)	PUNCT
cana-5933	163	38	,	,	PUNCT
cana-5933	163	39	1	1	NUM
cana-5933	163	40	−	−	NOUN
cana-5933	163	41	𝜇𝐴(x	𝜇𝐴(x	PROPN
cana-5933	163	42	):	):	PUNCT
cana-5933	163	43	xx	xx	PROPN
cana-5933	163	44	,	,	PUNCT
cana-5933	163	45	a	a	NOUN
cana-5933	163	46	=	=	PUNCT
cana-5933	163	47	[	[	PUNCT
cana-5933	163	48	(	(	PUNCT
cana-5933	163	49	.	.	NOUN
cana-5933	163	50	2	2	NUM
cana-5933	163	51	,	,	PUNCT
cana-5933	163	52	.8	.8	NUM
cana-5933	163	53	)	)	PUNCT
cana-5933	163	54	(	(	PUNCT
cana-5933	163	55	.	.	PUNCT
cana-5933	164	1	3	3	NUM
cana-5933	164	2	,	,	PUNCT
cana-5933	164	3	.7	.7	PROPN
cana-5933	164	4	)	)	PUNCT
cana-5933	165	1	(	(	PUNCT
cana-5933	165	2	.	.	NOUN
cana-5933	166	1	4	4	NUM
cana-5933	166	2	,	,	PUNCT
cana-5933	166	3	.6	.6	NUM
cana-5933	166	4	)	)	PUNCT
cana-5933	166	5	(	(	PUNCT
cana-5933	166	6	.	.	NOUN
cana-5933	167	1	5	5	NUM
cana-5933	167	2	,	,	PUNCT
cana-5933	167	3	.5	.5	NUM
cana-5933	167	4	)	)	PUNCT
cana-5933	167	5	]	]	PUNCT
cana-5933	167	6	applications	application	NOUN
cana-5933	167	7	of	of	ADP
cana-5933	167	8	necessity	necessity	NOUN
cana-5933	167	9	fuzzy	fuzzy	ADJ
cana-5933	167	10	operators	operator	NOUN
cana-5933	167	11	fuzzy	fuzzy	ADJ
cana-5933	167	12	decision	decision	NOUN
cana-5933	167	13	making	making	NOUN
cana-5933	167	14	:	:	PUNCT
cana-5933	167	15	in	in	ADP
cana-5933	167	16	situations	situation	NOUN
cana-5933	167	17	where	where	SCONJ
cana-5933	167	18	decisions	decision	NOUN
cana-5933	167	19	are	be	AUX
cana-5933	167	20	based	base	VERB
cana-5933	167	21	on	on	ADP
cana-5933	167	22	imprecise	imprecise	ADV
cana-5933	167	23	,	,	PUNCT
cana-5933	167	24	uncertain	uncertain	ADJ
cana-5933	167	25	,	,	PUNCT
cana-5933	167	26	or	or	CCONJ
cana-5933	167	27	fuzzy	fuzzy	ADJ
cana-5933	167	28	information	information	NOUN
cana-5933	167	29	,	,	PUNCT
cana-5933	167	30	necessity	necessity	NOUN
cana-5933	167	31	fuzzy	fuzzy	ADJ
cana-5933	167	32	operators	operator	NOUN
cana-5933	167	33	can	can	AUX
cana-5933	167	34	be	be	AUX
cana-5933	167	35	used	use	VERB
cana-5933	167	36	to	to	PART
cana-5933	167	37	model	model	VERB
cana-5933	167	38	the	the	DET
cana-5933	167	39	necessity	necessity	NOUN
cana-5933	167	40	of	of	ADP
cana-5933	167	41	certain	certain	ADJ
cana-5933	167	42	conditions	condition	NOUN
cana-5933	167	43	being	be	AUX
cana-5933	167	44	met	meet	VERB
cana-5933	167	45	.	.	PUNCT
cana-5933	168	1	they	they	PRON
cana-5933	168	2	are	be	AUX
cana-5933	168	3	helpful	helpful	ADJ
cana-5933	168	4	.	.	PUNCT
cana-5933	169	1	multi	multi	ADJ
cana-5933	169	2	-	-	ADJ
cana-5933	169	3	criteria	criterion	NOUN
cana-5933	169	4	decision	decision	NOUN
cana-5933	169	5	analysis	analysis	NOUN
cana-5933	169	6	(	(	PUNCT
cana-5933	169	7	mcda	mcda	NOUN
cana-5933	169	8	):	):	PUNCT
cana-5933	169	9	these	these	DET
cana-5933	169	10	operators	operator	NOUN
cana-5933	169	11	are	be	AUX
cana-5933	169	12	used	use	VERB
cana-5933	169	13	to	to	PART
cana-5933	169	14	assess	assess	VERB
cana-5933	169	15	the	the	DET
cana-5933	169	16	necessity	necessity	NOUN
cana-5933	169	17	of	of	ADP
cana-5933	169	18	each	each	DET
cana-5933	169	19	criterion	criterion	NOUN
cana-5933	169	20	in	in	ADP
cana-5933	169	21	decision	decision	NOUN
cana-5933	169	22	-	-	PUNCT
cana-5933	169	23	making	making	NOUN
cana-5933	169	24	when	when	SCONJ
cana-5933	169	25	multiple	multiple	ADJ
cana-5933	169	26	factors	factor	NOUN
cana-5933	169	27	are	be	AUX
cana-5933	169	28	involved	involve	VERB
cana-5933	169	29	.	.	PUNCT
cana-5933	170	1	preference	preference	NOUN
cana-5933	170	2	modelling	modelling	NOUN
cana-5933	170	3	:	:	PUNCT
cana-5933	170	4	in	in	ADP
cana-5933	170	5	scenarios	scenario	NOUN
cana-5933	170	6	where	where	SCONJ
cana-5933	170	7	preferences	preference	NOUN
cana-5933	170	8	are	be	AUX
cana-5933	170	9	not	not	PART
cana-5933	170	10	clearly	clearly	ADV
cana-5933	170	11	defined	define	VERB
cana-5933	170	12	but	but	CCONJ
cana-5933	170	13	can	can	AUX
cana-5933	170	14	be	be	AUX
cana-5933	170	15	expressed	express	VERB
cana-5933	170	16	in	in	ADP
cana-5933	170	17	fuzzy	fuzzy	ADJ
cana-5933	170	18	terms	term	NOUN
cana-5933	170	19	(	(	PUNCT
cana-5933	170	20	e.g.	e.g.	ADV
cana-5933	170	21	,	,	PUNCT
cana-5933	170	22	"	"	PUNCT
cana-5933	170	23	highly	highly	ADV
cana-5933	170	24	preferable	preferable	ADJ
cana-5933	170	25	"	"	PUNCT
cana-5933	170	26	or	or	CCONJ
cana-5933	170	27	"	"	PUNCT
cana-5933	170	28	somewhat	somewhat	ADV
cana-5933	170	29	acceptable	acceptable	ADJ
cana-5933	170	30	"	"	PUNCT
cana-5933	170	31	)	)	PUNCT
cana-5933	170	32	,	,	PUNCT
cana-5933	170	33	necessity	necessity	NOUN
cana-5933	170	34	fuzzy	fuzzy	ADJ
cana-5933	170	35	operators	operator	NOUN
cana-5933	170	36	help	help	VERB
cana-5933	170	37	in	in	ADP
cana-5933	170	38	deriving	derive	VERB
cana-5933	170	39	the	the	DET
cana-5933	170	40	necessity	necessity	NOUN
cana-5933	170	41	of	of	ADP
cana-5933	170	42	preferences	preference	NOUN
cana-5933	170	43	.	.	PUNCT
cana-5933	171	1	fuzzy	fuzzy	ADJ
cana-5933	171	2	logic	logic	NOUN
cana-5933	171	3	systems	system	NOUN
cana-5933	171	4	:	:	PUNCT
cana-5933	171	5	necessity	necessity	NOUN
cana-5933	171	6	fuzzy	fuzzy	ADJ
cana-5933	171	7	operators	operator	NOUN
cana-5933	171	8	are	be	AUX
cana-5933	171	9	an	an	DET
cana-5933	171	10	extension	extension	NOUN
cana-5933	171	11	of	of	ADP
cana-5933	171	12	classical	classical	ADJ
cana-5933	171	13	fuzzy	fuzzy	ADJ
cana-5933	171	14	logic	logic	NOUN
cana-5933	171	15	,	,	PUNCT
cana-5933	171	16	used	use	VERB
cana-5933	171	17	to	to	PART
cana-5933	171	18	make	make	VERB
cana-5933	171	19	decisions	decision	NOUN
cana-5933	171	20	based	base	VERB
cana-5933	171	21	on	on	ADP
cana-5933	171	22	degrees	degree	NOUN
cana-5933	171	23	of	of	ADP
cana-5933	171	24	necessity	necessity	NOUN
cana-5933	171	25	rather	rather	ADV
cana-5933	171	26	than	than	ADP
cana-5933	171	27	certainty	certainty	NOUN
cana-5933	171	28	.	.	PUNCT
cana-5933	172	1	in	in	ADP
cana-5933	172	2	applications	application	NOUN
cana-5933	172	3	like	like	ADP
cana-5933	172	4	:	:	PUNCT
cana-5933	172	5	fuzzy	fuzzy	ADJ
cana-5933	172	6	control	control	NOUN
cana-5933	172	7	systems	system	NOUN
cana-5933	172	8	:	:	PUNCT
cana-5933	172	9	these	these	DET
cana-5933	172	10	operators	operator	NOUN
cana-5933	172	11	can	can	AUX
cana-5933	172	12	enhance	enhance	VERB
cana-5933	172	13	the	the	DET
cana-5933	172	14	control	control	NOUN
cana-5933	172	15	process	process	NOUN
cana-5933	172	16	,	,	PUNCT
cana-5933	172	17	ensuring	ensure	VERB
cana-5933	172	18	that	that	SCONJ
cana-5933	172	19	the	the	DET
cana-5933	172	20	necessary	necessary	ADJ
cana-5933	172	21	conditions	condition	NOUN
cana-5933	172	22	for	for	SCONJ
cana-5933	172	23	the	the	DET
cana-5933	172	24	system	system	NOUN
cana-5933	172	25	to	to	PART
cana-5933	172	26	perform	perform	VERB
cana-5933	172	27	correctly	correctly	ADV
cana-5933	172	28	are	be	AUX
cana-5933	172	29	met	meet	VERB
cana-5933	172	30	.	.	PUNCT
cana-5933	173	1	rule	rule	NOUN
cana-5933	173	2	-	-	PUNCT
cana-5933	173	3	based	base	VERB
cana-5933	173	4	inference	inference	NOUN
cana-5933	173	5	:	:	PUNCT
cana-5933	174	1	in	in	ADP
cana-5933	174	2	fuzzy	fuzzy	ADJ
cana-5933	174	3	inference	inference	NOUN
cana-5933	174	4	systems	system	NOUN
cana-5933	174	5	,	,	PUNCT
cana-5933	174	6	necessity	necessity	NOUN
cana-5933	174	7	operators	operator	NOUN
cana-5933	174	8	help	help	VERB
cana-5933	174	9	model	model	VERB
cana-5933	174	10	how	how	SCONJ
cana-5933	174	11	much	much	ADJ
cana-5933	174	12	a	a	DET
cana-5933	174	13	rule	rule	NOUN
cana-5933	174	14	should	should	AUX
cana-5933	174	15	apply	apply	VERB
cana-5933	174	16	under	under	ADP
cana-5933	174	17	uncertain	uncertain	ADJ
cana-5933	174	18	conditions	condition	NOUN
cana-5933	174	19	,	,	PUNCT
cana-5933	174	20	adding	add	VERB
cana-5933	174	21	robustness	robustness	NOUN
cana-5933	174	22	to	to	ADP
cana-5933	174	23	the	the	DET
cana-5933	174	24	reasoning	reasoning	NOUN
cana-5933	174	25	process	process	NOUN
cana-5933	174	26	.	.	PUNCT
cana-5933	175	1	pattern	pattern	NOUN
cana-5933	175	2	recognition	recognition	NOUN
cana-5933	175	3	and	and	CCONJ
cana-5933	175	4	classification	classification	NOUN
cana-5933	175	5	:	:	PUNCT
cana-5933	175	6	when	when	SCONJ
cana-5933	175	7	classifying	classify	VERB
cana-5933	175	8	data	datum	NOUN
cana-5933	175	9	based	base	VERB
cana-5933	175	10	on	on	ADP
cana-5933	175	11	fuzzy	fuzzy	ADJ
cana-5933	175	12	criteria	criterion	NOUN
cana-5933	175	13	,	,	PUNCT
cana-5933	175	14	necessity	necessity	NOUN
cana-5933	175	15	fuzzy	fuzzy	ADJ
cana-5933	175	16	operators	operator	NOUN
cana-5933	175	17	can	can	AUX
cana-5933	175	18	be	be	AUX
cana-5933	175	19	used	use	VERB
cana-5933	175	20	to	to	PART
cana-5933	175	21	evaluate	evaluate	VERB
cana-5933	175	22	the	the	DET
cana-5933	175	23	necessity	necessity	NOUN
cana-5933	175	24	of	of	ADP
cana-5933	175	25	a	a	DET
cana-5933	175	26	feature	feature	NOUN
cana-5933	175	27	or	or	CCONJ
cana-5933	175	28	condition	condition	NOUN
cana-5933	175	29	belonging	belong	VERB
cana-5933	175	30	to	to	ADP
cana-5933	175	31	a	a	DET
cana-5933	175	32	certain	certain	ADJ
cana-5933	175	33	class	class	NOUN
cana-5933	175	34	,	,	PUNCT
cana-5933	175	35	especially	especially	ADV
cana-5933	175	36	in	in	ADP
cana-5933	175	37	cases	case	NOUN
cana-5933	175	38	with	with	ADP
cana-5933	175	39	uncertainty	uncertainty	NOUN
cana-5933	175	40	or	or	CCONJ
cana-5933	175	41	imprecision	imprecision	NOUN
cana-5933	175	42	in	in	ADP
cana-5933	175	43	the	the	DET
cana-5933	175	44	data	datum	NOUN
cana-5933	175	45	.	.	PUNCT
cana-5933	176	1	this	this	PRON
cana-5933	176	2	is	be	AUX
cana-5933	176	3	common	common	ADJ
cana-5933	176	4	in	in	ADP
cana-5933	176	5	:	:	PUNCT
cana-5933	176	6	image	image	NOUN
cana-5933	176	7	processing	processing	NOUN
cana-5933	176	8	:	:	PUNCT
cana-5933	176	9	for	for	ADP
cana-5933	176	10	example	example	NOUN
cana-5933	176	11	,	,	PUNCT
cana-5933	176	12	recognizing	recognize	VERB
cana-5933	176	13	patterns	pattern	NOUN
cana-5933	176	14	or	or	CCONJ
cana-5933	176	15	objects	object	NOUN
cana-5933	176	16	in	in	ADP
cana-5933	176	17	images	image	NOUN
cana-5933	176	18	where	where	SCONJ
cana-5933	176	19	some	some	DET
cana-5933	176	20	features	feature	NOUN
cana-5933	176	21	are	be	AUX
cana-5933	176	22	ambiguous	ambiguous	ADJ
cana-5933	176	23	or	or	CCONJ
cana-5933	176	24	unclear	unclear	ADJ
cana-5933	176	25	.	.	PUNCT
cana-5933	177	1	medical	medical	ADJ
cana-5933	177	2	diagnostics	diagnostic	NOUN
cana-5933	177	3	:	:	PUNCT
cana-5933	177	4	in	in	ADP
cana-5933	177	5	medical	medical	ADJ
cana-5933	177	6	systems	system	NOUN
cana-5933	177	7	that	that	PRON
cana-5933	177	8	diagnose	diagnose	VERB
cana-5933	177	9	diseases	disease	NOUN
cana-5933	177	10	based	base	VERB
cana-5933	177	11	on	on	ADP
cana-5933	177	12	fuzzy	fuzzy	ADJ
cana-5933	177	13	symptoms	symptom	NOUN
cana-5933	177	14	,	,	PUNCT
cana-5933	177	15	necessity	necessity	NOUN
cana-5933	177	16	fuzzy	fuzzy	ADJ
cana-5933	177	17	operators	operator	NOUN
cana-5933	177	18	can	can	AUX
cana-5933	177	19	determine	determine	VERB
cana-5933	177	20	the	the	DET
cana-5933	177	21	importance	importance	NOUN
cana-5933	177	22	of	of	ADP
cana-5933	177	23	certain	certain	ADJ
cana-5933	177	24	diagnostic	diagnostic	ADJ
cana-5933	177	25	factors	factor	NOUN
cana-5933	177	26	.	.	PUNCT
cana-5933	178	1	expert	expert	NOUN
cana-5933	178	2	systems	system	NOUN
cana-5933	178	3	and	and	CCONJ
cana-5933	178	4	knowledge	knowledge	NOUN
cana-5933	178	5	representation	representation	NOUN
cana-5933	178	6	:	:	PUNCT
cana-5933	178	7	in	in	ADP
cana-5933	178	8	expert	expert	NOUN
cana-5933	178	9	systems	system	NOUN
cana-5933	178	10	where	where	SCONJ
cana-5933	178	11	knowledge	knowledge	NOUN
cana-5933	178	12	is	be	AUX
cana-5933	178	13	represented	represent	VERB
cana-5933	178	14	using	use	VERB
cana-5933	178	15	fuzzy	fuzzy	ADJ
cana-5933	178	16	rules	rule	NOUN
cana-5933	178	17	,	,	PUNCT
cana-5933	178	18	necessity	necessity	NOUN
cana-5933	178	19	fuzzy	fuzzy	ADJ
cana-5933	178	20	operators	operator	NOUN
cana-5933	178	21	can	can	AUX
cana-5933	178	22	model	model	VERB
cana-5933	178	23	how	how	SCONJ
cana-5933	178	24	necessary	necessary	ADJ
cana-5933	178	25	specific	specific	ADJ
cana-5933	178	26	pieces	piece	NOUN
cana-5933	178	27	of	of	ADP
cana-5933	178	28	knowledge	knowledge	NOUN
cana-5933	178	29	or	or	CCONJ
cana-5933	178	30	rules	rule	NOUN
cana-5933	178	31	are	be	AUX
cana-5933	178	32	under	under	ADP
cana-5933	178	33	given	give	VERB
cana-5933	178	34	circumstances	circumstance	NOUN
cana-5933	178	35	.	.	PUNCT
cana-5933	179	1	this	this	PRON
cana-5933	179	2	helps	help	VERB
cana-5933	179	3	in	in	ADP
cana-5933	179	4	:	:	PUNCT
cana-5933	179	5	decision	decision	NOUN
cana-5933	179	6	support	support	NOUN
cana-5933	179	7	systems	system	NOUN
cana-5933	179	8	:	:	PUNCT
cana-5933	179	9	to	to	PART
cana-5933	179	10	provide	provide	VERB
cana-5933	179	11	guidance	guidance	NOUN
cana-5933	179	12	when	when	SCONJ
cana-5933	179	13	experts	expert	NOUN
cana-5933	179	14	have	have	VERB
cana-5933	179	15	to	to	PART
cana-5933	179	16	make	make	VERB
cana-5933	179	17	decisions	decision	NOUN
cana-5933	179	18	based	base	VERB
cana-5933	179	19	on	on	ADP
cana-5933	179	20	vague	vague	ADJ
cana-5933	179	21	or	or	CCONJ
cana-5933	179	22	incomplete	incomplete	ADJ
cana-5933	179	23	knowledge	knowledge	NOUN
cana-5933	179	24	.	.	PUNCT
cana-5933	180	1	communications	communication	NOUN
cana-5933	180	2	on	on	ADP
cana-5933	180	3	applied	apply	VERB
cana-5933	180	4	nonlinear	nonlinear	ADJ
cana-5933	180	5	analysis	analysis	NOUN
cana-5933	180	6	issn	issn	NOUN
cana-5933	180	7	:	:	PUNCT
cana-5933	180	8	1074	1074	NUM
cana-5933	180	9	-	-	PUNCT
cana-5933	180	10	133x	133x	NUM
cana-5933	180	11	vol	vol	VERB
cana-5933	180	12	32	32	NUM
cana-5933	180	13	no	no	NOUN
cana-5933	180	14	.	.	PUNCT
cana-5933	181	1	10s	10	NOUN
cana-5933	181	2	(	(	PUNCT
cana-5933	181	3	2025	2025	NUM
cana-5933	181	4	)	)	PUNCT
cana-5933	181	5	3141	3141	NUM
cana-5933	181	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	181	7	uncertainty	uncertainty	NOUN
cana-5933	181	8	management	management	NOUN
cana-5933	181	9	:	:	PUNCT
cana-5933	181	10	assessing	assess	VERB
cana-5933	181	11	how	how	SCONJ
cana-5933	181	12	necessary	necessary	ADJ
cana-5933	181	13	certain	certain	ADJ
cana-5933	181	14	conditions	condition	NOUN
cana-5933	181	15	are	be	AUX
cana-5933	181	16	for	for	ADP
cana-5933	181	17	drawing	draw	VERB
cana-5933	181	18	conclusions	conclusion	NOUN
cana-5933	181	19	or	or	CCONJ
cana-5933	181	20	taking	take	VERB
cana-5933	181	21	actions	action	NOUN
cana-5933	181	22	in	in	ADP
cana-5933	181	23	an	an	DET
cana-5933	181	24	uncertain	uncertain	ADJ
cana-5933	181	25	environment	environment	NOUN
cana-5933	181	26	.	.	PUNCT
cana-5933	182	1	risk	risk	NOUN
cana-5933	182	2	analysis	analysis	NOUN
cana-5933	182	3	and	and	CCONJ
cana-5933	182	4	management	management	NOUN
cana-5933	182	5	:	:	PUNCT
cana-5933	182	6	necessity	necessity	NOUN
cana-5933	182	7	fuzzy	fuzzy	ADJ
cana-5933	182	8	operators	operator	NOUN
cana-5933	182	9	are	be	AUX
cana-5933	182	10	useful	useful	ADJ
cana-5933	182	11	in	in	ADP
cana-5933	182	12	scenarios	scenario	NOUN
cana-5933	182	13	where	where	SCONJ
cana-5933	182	14	risks	risk	NOUN
cana-5933	182	15	are	be	AUX
cana-5933	182	16	uncertain	uncertain	ADJ
cana-5933	182	17	or	or	CCONJ
cana-5933	182	18	not	not	PART
cana-5933	182	19	precisely	precisely	ADV
cana-5933	182	20	measurable	measurable	ADJ
cana-5933	182	21	.	.	PUNCT
cana-5933	183	1	they	they	PRON
cana-5933	183	2	are	be	AUX
cana-5933	183	3	applied	apply	VERB
cana-5933	183	4	in	in	ADP
cana-5933	183	5	:	:	PUNCT
cana-5933	183	6	risk	risk	NOUN
cana-5933	183	7	assessment	assessment	NOUN
cana-5933	183	8	:	:	PUNCT
cana-5933	183	9	evaluating	evaluate	VERB
cana-5933	183	10	the	the	DET
cana-5933	183	11	necessity	necessity	NOUN
cana-5933	183	12	of	of	ADP
cana-5933	183	13	mitigating	mitigate	VERB
cana-5933	183	14	certain	certain	ADJ
cana-5933	183	15	risks	risk	NOUN
cana-5933	183	16	based	base	VERB
cana-5933	183	17	on	on	ADP
cana-5933	183	18	fuzzy	fuzzy	ADJ
cana-5933	183	19	criteria	criterion	NOUN
cana-5933	183	20	.	.	PUNCT
cana-5933	184	1	reliability	reliability	NOUN
cana-5933	184	2	engineering	engineering	NOUN
cana-5933	184	3	:	:	PUNCT
cana-5933	184	4	determining	determine	VERB
cana-5933	184	5	the	the	DET
cana-5933	184	6	necessity	necessity	NOUN
cana-5933	184	7	of	of	ADP
cana-5933	184	8	different	different	ADJ
cana-5933	184	9	components	component	NOUN
cana-5933	184	10	working	work	VERB
cana-5933	184	11	correctly	correctly	ADV
cana-5933	184	12	in	in	ADP
cana-5933	184	13	systems	system	NOUN
cana-5933	184	14	with	with	ADP
cana-5933	184	15	uncertainty	uncertainty	NOUN
cana-5933	184	16	in	in	ADP
cana-5933	184	17	their	their	PRON
cana-5933	184	18	performance	performance	NOUN
cana-5933	184	19	.	.	PUNCT
cana-5933	185	1	control	control	NOUN
cana-5933	185	2	and	and	CCONJ
cana-5933	185	3	automation	automation	NOUN
cana-5933	185	4	systems	system	NOUN
cana-5933	185	5	in	in	ADP
cana-5933	185	6	automated	automate	VERB
cana-5933	185	7	systems	system	NOUN
cana-5933	185	8	or	or	CCONJ
cana-5933	185	9	robotics	robotic	NOUN
cana-5933	185	10	,	,	PUNCT
cana-5933	185	11	where	where	SCONJ
cana-5933	185	12	actions	action	NOUN
cana-5933	185	13	often	often	ADV
cana-5933	185	14	depend	depend	VERB
cana-5933	185	15	on	on	ADP
cana-5933	185	16	a	a	DET
cana-5933	185	17	combination	combination	NOUN
cana-5933	185	18	of	of	ADP
cana-5933	185	19	necessary	necessary	ADJ
cana-5933	185	20	conditions	condition	NOUN
cana-5933	185	21	being	be	AUX
cana-5933	185	22	met	meet	VERB
cana-5933	185	23	,	,	PUNCT
cana-5933	185	24	necessity	necessity	NOUN
cana-5933	185	25	fuzzy	fuzzy	ADJ
cana-5933	185	26	operators	operator	NOUN
cana-5933	185	27	can	can	AUX
cana-5933	185	28	help	help	VERB
cana-5933	185	29	evaluate	evaluate	VERB
cana-5933	185	30	and	and	CCONJ
cana-5933	185	31	prioritize	prioritize	VERB
cana-5933	185	32	actions	action	NOUN
cana-5933	185	33	based	base	VERB
cana-5933	185	34	on	on	ADP
cana-5933	185	35	fuzzy	fuzzy	ADJ
cana-5933	185	36	input	input	NOUN
cana-5933	185	37	data	datum	NOUN
cana-5933	185	38	.	.	PUNCT
cana-5933	186	1	for	for	ADP
cana-5933	186	2	example	example	NOUN
cana-5933	186	3	:	:	PUNCT
cana-5933	186	4	robotic	robotic	ADJ
cana-5933	186	5	navigation	navigation	NOUN
cana-5933	186	6	:	:	PUNCT
cana-5933	186	7	robots	robot	NOUN
cana-5933	186	8	make	make	VERB
cana-5933	186	9	decisions	decision	NOUN
cana-5933	186	10	based	base	VERB
cana-5933	186	11	on	on	ADP
cana-5933	186	12	a	a	DET
cana-5933	186	13	range	range	NOUN
cana-5933	186	14	of	of	ADP
cana-5933	186	15	fuzzy	fuzzy	ADJ
cana-5933	186	16	conditions	condition	NOUN
cana-5933	186	17	(	(	PUNCT
cana-5933	186	18	e.g.	e.g.	ADV
cana-5933	186	19	,	,	PUNCT
cana-5933	186	20	obstacles	obstacle	NOUN
cana-5933	186	21	,	,	PUNCT
cana-5933	186	22	speed	speed	NOUN
cana-5933	186	23	,	,	PUNCT
cana-5933	186	24	distance	distance	NOUN
cana-5933	186	25	)	)	PUNCT
cana-5933	186	26	,	,	PUNCT
cana-5933	186	27	and	and	CCONJ
cana-5933	186	28	necessity	necessity	NOUN
cana-5933	186	29	fuzzy	fuzzy	ADJ
cana-5933	186	30	operators	operator	NOUN
cana-5933	186	31	help	help	VERB
cana-5933	186	32	them	they	PRON
cana-5933	186	33	decide	decide	VERB
cana-5933	186	34	what	what	PRON
cana-5933	186	35	actions	action	NOUN
cana-5933	186	36	are	be	AUX
cana-5933	186	37	most	most	ADV
cana-5933	186	38	necessary	necessary	ADJ
cana-5933	186	39	to	to	PART
cana-5933	186	40	continue	continue	VERB
cana-5933	186	41	moving	move	VERB
cana-5933	186	42	forward	forward	ADV
cana-5933	186	43	.	.	PUNCT
cana-5933	187	1	manufacturing	manufacturing	NOUN
cana-5933	187	2	systems	system	NOUN
cana-5933	187	3	:	:	PUNCT
cana-5933	187	4	in	in	ADP
cana-5933	187	5	automated	automate	VERB
cana-5933	187	6	production	production	NOUN
cana-5933	187	7	lines	line	NOUN
cana-5933	187	8	,	,	PUNCT
cana-5933	187	9	these	these	DET
cana-5933	187	10	operators	operator	NOUN
cana-5933	187	11	can	can	AUX
cana-5933	187	12	help	help	VERB
cana-5933	187	13	optimize	optimize	VERB
cana-5933	187	14	processes	process	NOUN
cana-5933	187	15	where	where	SCONJ
cana-5933	187	16	the	the	DET
cana-5933	187	17	conditions	condition	NOUN
cana-5933	187	18	for	for	ADP
cana-5933	187	19	success	success	NOUN
cana-5933	187	20	are	be	AUX
cana-5933	187	21	fuzzy	fuzzy	ADJ
cana-5933	187	22	and	and	CCONJ
cana-5933	187	23	not	not	PART
cana-5933	187	24	perfectly	perfectly	ADV
cana-5933	187	25	defined	define	VERB
cana-5933	187	26	.	.	PUNCT
cana-5933	188	1	natural	natural	ADJ
cana-5933	188	2	language	language	NOUN
cana-5933	188	3	processing	processing	NOUN
cana-5933	188	4	(	(	PUNCT
cana-5933	188	5	nlp	nlp	NOUN
cana-5933	188	6	)	)	PUNCT
cana-5933	188	7	necessity	necessity	NOUN
cana-5933	188	8	fuzzy	fuzzy	ADJ
cana-5933	188	9	operators	operator	NOUN
cana-5933	188	10	can	can	AUX
cana-5933	188	11	be	be	AUX
cana-5933	188	12	used	use	VERB
cana-5933	188	13	to	to	PART
cana-5933	188	14	process	process	VERB
cana-5933	188	15	and	and	CCONJ
cana-5933	188	16	interpret	interpret	VERB
cana-5933	188	17	natural	natural	ADJ
cana-5933	188	18	language	language	NOUN
cana-5933	188	19	,	,	PUNCT
cana-5933	188	20	where	where	SCONJ
cana-5933	188	21	meanings	meaning	NOUN
cana-5933	188	22	are	be	AUX
cana-5933	188	23	often	often	ADV
cana-5933	188	24	vague	vague	ADJ
cana-5933	188	25	or	or	CCONJ
cana-5933	188	26	context	context	NOUN
cana-5933	188	27	-	-	PUNCT
cana-5933	188	28	dependent	dependent	ADJ
cana-5933	188	29	.	.	PUNCT
cana-5933	189	1	applications	application	NOUN
cana-5933	189	2	include	include	VERB
cana-5933	189	3	:	:	PUNCT
cana-5933	189	4	sentiment	sentiment	NOUN
cana-5933	189	5	analysis	analysis	NOUN
cana-5933	189	6	:	:	PUNCT
cana-5933	189	7	understanding	understand	VERB
cana-5933	189	8	the	the	DET
cana-5933	189	9	necessity	necessity	NOUN
cana-5933	189	10	of	of	ADP
cana-5933	189	11	certain	certain	ADJ
cana-5933	189	12	sentiments	sentiment	NOUN
cana-5933	189	13	(	(	PUNCT
cana-5933	189	14	e.g.	e.g.	ADV
cana-5933	189	15	,	,	PUNCT
cana-5933	189	16	"	"	PUNCT
cana-5933	189	17	very	very	ADV
cana-5933	189	18	happy	happy	ADJ
cana-5933	189	19	"	"	PUNCT
cana-5933	189	20	vs.	vs.	ADP
cana-5933	189	21	"	"	PUNCT
cana-5933	189	22	slightly	slightly	ADV
cana-5933	189	23	happy	happy	ADJ
cana-5933	189	24	"	"	PUNCT
cana-5933	189	25	)	)	PUNCT
cana-5933	189	26	in	in	ADP
cana-5933	189	27	a	a	DET
cana-5933	189	28	text	text	NOUN
cana-5933	189	29	or	or	CCONJ
cana-5933	189	30	conversation	conversation	NOUN
cana-5933	189	31	.	.	PUNCT
cana-5933	190	1	machine	machine	NOUN
cana-5933	190	2	translation	translation	NOUN
cana-5933	190	3	:	:	PUNCT
cana-5933	190	4	in	in	ADP
cana-5933	190	5	translating	translate	VERB
cana-5933	190	6	text	text	NOUN
cana-5933	190	7	with	with	ADP
cana-5933	190	8	uncertain	uncertain	ADJ
cana-5933	190	9	or	or	CCONJ
cana-5933	190	10	context	context	NOUN
cana-5933	190	11	-	-	PUNCT
cana-5933	190	12	dependent	dependent	ADJ
cana-5933	190	13	meanings	meaning	NOUN
cana-5933	190	14	,	,	PUNCT
cana-5933	190	15	these	these	DET
cana-5933	190	16	operators	operator	NOUN
cana-5933	190	17	help	help	VERB
cana-5933	190	18	determine	determine	VERB
cana-5933	190	19	the	the	DET
cana-5933	190	20	most	most	ADV
cana-5933	190	21	necessary	necessary	ADJ
cana-5933	190	22	translation	translation	NOUN
cana-5933	190	23	options	option	NOUN
cana-5933	190	24	.	.	PUNCT
cana-5933	191	1	artificial	artificial	ADJ
cana-5933	191	2	intelligence	intelligence	NOUN
cana-5933	191	3	and	and	CCONJ
cana-5933	191	4	machine	machine	NOUN
cana-5933	191	5	learning	learning	NOUN
cana-5933	191	6	ai	ai	VERB
cana-5933	191	7	and	and	CCONJ
cana-5933	191	8	ml	ml	NOUN
cana-5933	191	9	systems	system	NOUN
cana-5933	191	10	often	often	ADV
cana-5933	191	11	deal	deal	VERB
cana-5933	191	12	with	with	ADP
cana-5933	191	13	imprecise	imprecise	ADJ
cana-5933	191	14	data	datum	NOUN
cana-5933	191	15	or	or	CCONJ
cana-5933	191	16	incomplete	incomplete	ADJ
cana-5933	191	17	information	information	NOUN
cana-5933	191	18	,	,	PUNCT
cana-5933	191	19	making	make	VERB
cana-5933	191	20	necessity	necessity	NOUN
cana-5933	191	21	fuzzy	fuzzy	ADJ
cana-5933	191	22	operators	operator	NOUN
cana-5933	191	23	valuable	valuable	ADJ
cana-5933	191	24	for	for	ADP
cana-5933	191	25	:	:	PUNCT
cana-5933	191	26	data	datum	NOUN
cana-5933	191	27	mining	mining	NOUN
cana-5933	191	28	:	:	PUNCT
cana-5933	191	29	extracting	extract	VERB
cana-5933	191	30	patterns	pattern	NOUN
cana-5933	191	31	or	or	CCONJ
cana-5933	191	32	rules	rule	NOUN
cana-5933	191	33	from	from	ADP
cana-5933	191	34	fuzzy	fuzzy	ADJ
cana-5933	191	35	data	datum	NOUN
cana-5933	191	36	and	and	CCONJ
cana-5933	191	37	determining	determine	VERB
cana-5933	191	38	the	the	DET
cana-5933	191	39	necessity	necessity	NOUN
cana-5933	191	40	of	of	ADP
cana-5933	191	41	various	various	ADJ
cana-5933	191	42	features	feature	NOUN
cana-5933	191	43	or	or	CCONJ
cana-5933	191	44	patterns	pattern	NOUN
cana-5933	191	45	in	in	ADP
cana-5933	191	46	classification	classification	NOUN
cana-5933	191	47	or	or	CCONJ
cana-5933	191	48	clustering	clustering	ADJ
cana-5933	191	49	tasks	task	NOUN
cana-5933	191	50	.	.	PUNCT
cana-5933	192	1	knowledge	knowledge	NOUN
cana-5933	192	2	discovery	discovery	PROPN
cana-5933	192	3	:	:	PUNCT
cana-5933	192	4	identifying	identify	VERB
cana-5933	192	5	essential	essential	ADJ
cana-5933	192	6	relationships	relationship	NOUN
cana-5933	192	7	or	or	CCONJ
cana-5933	192	8	dependencies	dependency	NOUN
cana-5933	192	9	between	between	ADP
cana-5933	192	10	variables	variable	NOUN
cana-5933	192	11	in	in	ADP
cana-5933	192	12	large	large	ADJ
cana-5933	192	13	datasets	dataset	NOUN
cana-5933	192	14	game	game	NOUN
cana-5933	192	15	theory	theory	NOUN
cana-5933	192	16	and	and	CCONJ
cana-5933	192	17	strategic	strategic	ADJ
cana-5933	192	18	decision	decision	NOUN
cana-5933	192	19	making	making	NOUN
cana-5933	192	20	:	:	PUNCT
cana-5933	192	21	in	in	ADP
cana-5933	192	22	game	game	NOUN
cana-5933	192	23	theory	theory	NOUN
cana-5933	192	24	,	,	PUNCT
cana-5933	192	25	where	where	SCONJ
cana-5933	192	26	players	player	NOUN
cana-5933	192	27	often	often	ADV
cana-5933	192	28	act	act	VERB
cana-5933	192	29	under	under	ADP
cana-5933	192	30	uncertainty	uncertainty	NOUN
cana-5933	192	31	and	and	CCONJ
cana-5933	192	32	imperfect	imperfect	ADJ
cana-5933	192	33	information	information	NOUN
cana-5933	192	34	,	,	PUNCT
cana-5933	192	35	necessity	necessity	NOUN
cana-5933	192	36	fuzzy	fuzzy	ADJ
cana-5933	192	37	operators	operator	NOUN
cana-5933	192	38	can	can	AUX
cana-5933	192	39	help	help	VERB
cana-5933	192	40	evaluate	evaluate	VERB
cana-5933	192	41	the	the	DET
cana-5933	192	42	necessity	necessity	NOUN
cana-5933	192	43	of	of	ADP
cana-5933	192	44	certain	certain	ADJ
cana-5933	192	45	strategies	strategy	NOUN
cana-5933	192	46	or	or	CCONJ
cana-5933	192	47	moves	move	NOUN
cana-5933	192	48	,	,	PUNCT
cana-5933	192	49	especially	especially	ADV
cana-5933	192	50	when	when	SCONJ
cana-5933	192	51	the	the	DET
cana-5933	192	52	players	player	NOUN
cana-5933	192	53	face	face	VERB
cana-5933	192	54	uncertain	uncertain	ADJ
cana-5933	192	55	payoffs	payoff	NOUN
cana-5933	192	56	or	or	CCONJ
cana-5933	192	57	incomplete	incomplete	ADJ
cana-5933	192	58	knowledge	knowledge	NOUN
cana-5933	192	59	about	about	ADP
cana-5933	192	60	other	other	ADJ
cana-5933	192	61	players	player	NOUN
cana-5933	192	62	'	'	PART
cana-5933	192	63	actions	action	NOUN
cana-5933	192	64	communications	communication	NOUN
cana-5933	192	65	on	on	ADP
cana-5933	192	66	applied	apply	VERB
cana-5933	192	67	nonlinear	nonlinear	ADJ
cana-5933	192	68	analysis	analysis	NOUN
cana-5933	192	69	issn	issn	NOUN
cana-5933	192	70	:	:	PUNCT
cana-5933	192	71	1074	1074	NUM
cana-5933	192	72	-	-	PUNCT
cana-5933	192	73	133x	133x	NUM
cana-5933	192	74	vol	vol	VERB
cana-5933	192	75	32	32	NUM
cana-5933	192	76	no	no	NOUN
cana-5933	192	77	.	.	PUNCT
cana-5933	193	1	10s	10	NOUN
cana-5933	193	2	(	(	PUNCT
cana-5933	193	3	2025	2025	NUM
cana-5933	193	4	)	)	PUNCT
cana-5933	193	5	3142	3142	NUM
cana-5933	193	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	193	7	environmental	environmental	ADJ
cana-5933	193	8	modelling	modelling	NOUN
cana-5933	193	9	and	and	CCONJ
cana-5933	193	10	simulation	simulation	NOUN
cana-5933	193	11	:	:	PUNCT
cana-5933	193	12	in	in	ADP
cana-5933	193	13	environmental	environmental	ADJ
cana-5933	193	14	modelling	modelling	NOUN
cana-5933	193	15	,	,	PUNCT
cana-5933	193	16	where	where	SCONJ
cana-5933	193	17	conditions	condition	NOUN
cana-5933	193	18	can	can	AUX
cana-5933	193	19	be	be	AUX
cana-5933	193	20	highly	highly	ADV
cana-5933	193	21	uncertain	uncertain	ADJ
cana-5933	193	22	(	(	PUNCT
cana-5933	193	23	e.g.	e.g.	ADV
cana-5933	193	24	,	,	PUNCT
cana-5933	193	25	predicting	predict	VERB
cana-5933	193	26	weather	weather	NOUN
cana-5933	193	27	patterns	pattern	NOUN
cana-5933	193	28	,	,	PUNCT
cana-5933	193	29	climate	climate	NOUN
cana-5933	193	30	change	change	NOUN
cana-5933	193	31	impacts	impact	NOUN
cana-5933	193	32	)	)	PUNCT
cana-5933	193	33	,	,	PUNCT
cana-5933	193	34	necessity	necessity	NOUN
cana-5933	193	35	fuzzy	fuzzy	ADJ
cana-5933	193	36	operators	operator	NOUN
cana-5933	193	37	help	help	VERB
cana-5933	193	38	assess	assess	VERB
cana-5933	193	39	the	the	DET
cana-5933	193	40	necessity	necessity	NOUN
cana-5933	193	41	of	of	ADP
cana-5933	193	42	certain	certain	ADJ
cana-5933	193	43	outcomes	outcome	NOUN
cana-5933	193	44	or	or	CCONJ
cana-5933	193	45	actions	action	NOUN
cana-5933	193	46	under	under	ADP
cana-5933	193	47	uncertain	uncertain	ADJ
cana-5933	193	48	environmental	environmental	ADJ
cana-5933	193	49	conditions	condition	NOUN
cana-5933	193	50	.	.	PUNCT
cana-5933	194	1	6	6	X
cana-5933	194	2	.	.	X
cana-5933	194	3	some	some	DET
cana-5933	194	4	modal	modal	ADJ
cana-5933	194	5	operators	operator	NOUN
cana-5933	194	6	on	on	ADP
cana-5933	194	7	intuitionistic	intuitionistic	ADJ
cana-5933	194	8	fuzzy	fuzzy	ADJ
cana-5933	194	9	sets	set	NOUN
cana-5933	194	10	we	we	PRON
cana-5933	194	11	define	define	VERB
cana-5933	194	12	over	over	ADP
cana-5933	194	13	the	the	DET
cana-5933	194	14	set	set	NOUN
cana-5933	194	15	of	of	ADP
cana-5933	194	16	ifs	ifs	PROPN
cana-5933	194	17	,	,	PUNCT
cana-5933	194	18	two	two	NUM
cana-5933	194	19	modal	modal	ADJ
cana-5933	194	20	operators	operator	NOUN
cana-5933	194	21	which	which	PRON
cana-5933	194	22	transform	transform	VERB
cana-5933	194	23	every	every	DET
cana-5933	194	24	ifs	ifs	PROPN
cana-5933	194	25	into	into	ADP
cana-5933	194	26	fuzzy	fuzzy	ADJ
cana-5933	194	27	set	set	NOUN
cana-5933	194	28	.	.	PUNCT
cana-5933	195	1	these	these	DET
cana-5933	195	2	operators	operator	NOUN
cana-5933	195	3	are	be	AUX
cana-5933	195	4	similar	similar	ADJ
cana-5933	195	5	to	to	ADP
cana-5933	195	6	the	the	DET
cana-5933	195	7	operator	operator	NOUN
cana-5933	195	8	’s	’s	PART
cana-5933	195	9	‘	'	PUNCT
cana-5933	195	10	necessity	necessity	NOUN
cana-5933	195	11	’	'	PUNCT
cana-5933	195	12	and	and	CCONJ
cana-5933	195	13	‘	'	PUNCT
cana-5933	195	14	possibility	possibility	NOUN
cana-5933	195	15	’	'	PUNCT
cana-5933	195	16	defined	define	VERB
cana-5933	195	17	in	in	ADP
cana-5933	195	18	some	some	DET
cana-5933	195	19	modal	modal	ADJ
cana-5933	195	20	logics	logic	NOUN
cana-5933	195	21	.	.	PUNCT
cana-5933	196	1	this	this	DET
cana-5933	196	2	idea	idea	NOUN
cana-5933	196	3	is	be	AUX
cana-5933	196	4	drawn	draw	VERB
cana-5933	196	5	from	from	ADP
cana-5933	196	6	the	the	DET
cana-5933	196	7	modal	modal	ADJ
cana-5933	196	8	operators	operator	NOUN
cana-5933	196	9	on	on	ADP
cana-5933	196	10	ifs	ifs	PROPN
cana-5933	196	11	proposed	propose	VERB
cana-5933	196	12	by	by	ADP
cana-5933	196	13	[	[	X
cana-5933	196	14	3	3	NUM
cana-5933	196	15	]	]	PUNCT
cana-5933	196	16	.	.	PUNCT
cana-5933	197	1	6.1	6.1	NUM
cana-5933	197	2	definition	definition	NOUN
cana-5933	197	3	:	:	PUNCT
cana-5933	197	4	[	[	X
cana-5933	197	5	modal	modal	ADJ
cana-5933	197	6	operators	operator	NOUN
cana-5933	197	7	’	'	PUNCT
cana-5933	197	8	necessity	necessity	NOUN
cana-5933	197	9	]	]	PUNCT
cana-5933	197	10	:	:	PUNCT
cana-5933	197	11	let	let	VERB
cana-5933	197	12	x	x	PRON
cana-5933	197	13	be	be	AUX
cana-5933	197	14	nonempty	nonempty	ADJ
cana-5933	197	15	.	.	PUNCT
cana-5933	198	1	if	if	SCONJ
cana-5933	198	2	a	a	PRON
cana-5933	198	3	is	be	AUX
cana-5933	198	4	an	an	DET
cana-5933	198	5	ifs	ifs	NOUN
cana-5933	198	6	drawn	draw	VERB
cana-5933	198	7	from	from	ADP
cana-5933	198	8	x	x	PRON
cana-5933	198	9	,	,	PUNCT
cana-5933	198	10	then	then	ADV
cana-5933	198	11	a	a	PROPN
cana-5933	198	12	=	=	PUNCT
cana-5933	198	13	{	{	PUNCT
cana-5933	198	14	x	x	NOUN
cana-5933	198	15	,	,	PUNCT
cana-5933	198	16	μa(x	μa(x	NOUN
cana-5933	198	17	):	):	PUNCT
cana-5933	198	18	xx	xx	SYM
cana-5933	198	19	}	}	PUNCT
cana-5933	198	20	=	=	SYM
cana-5933	198	21	{	{	PUNCT
cana-5933	198	22	x	x	NOUN
cana-5933	198	23	,	,	PUNCT
cana-5933	198	24	μa(x	μa(x	NOUN
cana-5933	198	25	)	)	PUNCT
cana-5933	198	26	,	,	PUNCT
cana-5933	198	27	1	1	NUM
cana-5933	198	28	−	−	NOUN
cana-5933	198	29	𝜇𝐴(x	𝜇𝐴(x	PROPN
cana-5933	198	30	):	):	PUNCT
cana-5933	198	31	xx	xx	SYM
cana-5933	198	32	}	}	PUNCT
cana-5933	198	33	6.2	6.2	NUM
cana-5933	198	34	definition	definition	NOUN
cana-5933	198	35	:	:	PUNCT
cana-5933	198	36	[	[	X
cana-5933	198	37	modal	modal	ADJ
cana-5933	198	38	operators	operator	NOUN
cana-5933	198	39	’	'	PUNCT
cana-5933	198	40	possibility	possibility	NOUN
cana-5933	198	41	]	]	X
cana-5933	198	42	:	:	PUNCT
cana-5933	198	43	let	let	VERB
cana-5933	198	44	x	x	PRON
cana-5933	198	45	be	be	AUX
cana-5933	198	46	nonempty	nonempty	ADJ
cana-5933	198	47	.	.	PUNCT
cana-5933	199	1	if	if	SCONJ
cana-5933	199	2	a	a	PRON
cana-5933	199	3	is	be	AUX
cana-5933	199	4	an	an	DET
cana-5933	199	5	ifs	ifs	NOUN
cana-5933	199	6	drawn	draw	VERB
cana-5933	199	7	from	from	ADP
cana-5933	199	8	x	x	PRON
cana-5933	199	9	,	,	PUNCT
cana-5933	199	10	then	then	ADV
cana-5933	199	11	a	a	NOUN
cana-5933	199	12	=	=	PUNCT
cana-5933	199	13	{	{	PUNCT
cana-5933	199	14	x	x	NOUN
cana-5933	199	15	,	,	PUNCT
cana-5933	199	16	1	1	NUM
cana-5933	199	17	−	−	NOUN
cana-5933	199	18	𝜗𝐴(x	𝜗𝐴(x	NUM
cana-5933	199	19	):	):	PUNCT
cana-5933	199	20	xx	xx	PRON
cana-5933	199	21	}	}	PUNCT
cana-5933	199	22	=	=	SYM
cana-5933	199	23	{	{	PUNCT
cana-5933	199	24	x	x	NOUN
cana-5933	199	25	,	,	PUNCT
cana-5933	199	26	1	1	NUM
cana-5933	199	27	−	−	PROPN
cana-5933	199	28	𝜗𝐴(x	𝜗𝐴(x	NUM
cana-5933	199	29	)	)	PUNCT
cana-5933	199	30	,	,	PUNCT
cana-5933	199	31	𝜗𝐴(x	𝜗𝐴(x	NUM
cana-5933	199	32	):	):	PUNCT
cana-5933	199	33	xx	xx	ADJ
cana-5933	199	34	}	}	PUNCT
cana-5933	199	35	6.3	6.3	NUM
cana-5933	199	36	definition	definition	NOUN
cana-5933	199	37	:	:	PUNCT
cana-5933	199	38	if	if	SCONJ
cana-5933	199	39	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	199	40	and	and	CCONJ
cana-5933	199	41	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	199	42	are	be	AUX
cana-5933	199	43	two	two	NUM
cana-5933	199	44	ifss	ifss	ADJ
cana-5933	199	45	over	over	ADP
cana-5933	199	46	different	different	ADJ
cana-5933	199	47	universes	universe	NOUN
cana-5933	199	48	e	e	NOUN
cana-5933	199	49	and	and	CCONJ
cana-5933	199	50	f	f	PROPN
cana-5933	199	51	gives	give	VERB
cana-5933	199	52	as	as	ADP
cana-5933	199	53	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	199	54	=	=	SYM
cana-5933	199	55	{	{	PUNCT
cana-5933	199	56	x	x	NOUN
cana-5933	199	57	,	,	PUNCT
cana-5933	199	58	μa(x	μa(x	NOUN
cana-5933	199	59	)	)	PUNCT
cana-5933	199	60	,	,	PUNCT
cana-5933	199	61	𝜗𝐴(x	𝜗𝐴(x	NUM
cana-5933	199	62	):	):	PUNCT
cana-5933	199	63	xe	xe	PRON
cana-5933	199	64	}	}	PUNCT
cana-5933	199	65	and	and	CCONJ
cana-5933	199	66	𝐵𝐹=	𝐵𝐹=	X
cana-5933	199	67	{	{	PUNCT
cana-5933	199	68	y	y	PROPN
cana-5933	199	69	,	,	PUNCT
cana-5933	199	70	𝜇𝐵(y	𝜇𝐵(y	PROPN
cana-5933	199	71	)	)	PUNCT
cana-5933	199	72	,	,	PUNCT
cana-5933	199	73	𝜗𝐵(y	𝜗𝐵(y	NUM
cana-5933	199	74	):	):	PUNCT
cana-5933	199	75	yf	yf	NOUN
cana-5933	199	76	}	}	PUNCT
cana-5933	199	77	6.4	6.4	NUM
cana-5933	199	78	definition	definition	NOUN
cana-5933	199	79	:	:	PUNCT
cana-5933	199	80	if	if	SCONJ
cana-5933	199	81	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	199	82	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	199	83	and𝐵𝐹	and𝐵𝐹	PROPN
cana-5933	199	84	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	199	85	are	be	AUX
cana-5933	199	86	two	two	NUM
cana-5933	199	87	ifss	ifss	ADJ
cana-5933	199	88	over	over	ADP
cana-5933	199	89	different	different	ADJ
cana-5933	199	90	universes	universe	NOUN
cana-5933	199	91	e	e	NOUN
cana-5933	199	92	and	and	CCONJ
cana-5933	199	93	f	f	PROPN
cana-5933	199	94	gives	give	VERB
cana-5933	199	95	as	as	ADP
cana-5933	199	96	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	199	97	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	200	1	=	=	X
cana-5933	200	2	{	{	PUNCT
cana-5933	200	3	x	x	NOUN
cana-5933	200	4	,	,	PUNCT
cana-5933	200	5	𝜗𝐴(x	𝜗𝐴(x	NUM
cana-5933	200	6	)	)	PUNCT
cana-5933	200	7	,	,	PUNCT
cana-5933	200	8	μa(x	μa(x	PROPN
cana-5933	200	9	):	):	PUNCT
cana-5933	200	10	xe	xe	PRON
cana-5933	200	11	}	}	PUNCT
cana-5933	200	12	and	and	CCONJ
cana-5933	200	13	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	200	14	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	200	15	=	=	PUNCT
cana-5933	200	16	{	{	PUNCT
cana-5933	200	17	y	y	PROPN
cana-5933	200	18	,	,	PUNCT
cana-5933	200	19	𝜗𝐵(y	𝜗𝐵(y	NUM
cana-5933	200	20	)	)	PUNCT
cana-5933	200	21	,	,	PUNCT
cana-5933	200	22	𝜇𝐵(y	𝜇𝐵(y	NUM
cana-5933	200	23	):	):	PUNCT
cana-5933	200	24	yf	yf	NOUN
cana-5933	200	25	}	}	PUNCT
cana-5933	200	26	6.5	6.5	NUM
cana-5933	200	27	definition	definition	NOUN
cana-5933	200	28	:	:	PUNCT
cana-5933	200	29	if	if	SCONJ
cana-5933	200	30	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	200	31	and	and	CCONJ
cana-5933	200	32	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	200	33	are	be	AUX
cana-5933	200	34	two	two	NUM
cana-5933	200	35	ifss	ifss	ADJ
cana-5933	200	36	over	over	ADP
cana-5933	200	37	different	different	ADJ
cana-5933	200	38	universes	universe	NOUN
cana-5933	200	39	e	e	NOUN
cana-5933	200	40	and	and	CCONJ
cana-5933	200	41	f	f	PROPN
cana-5933	200	42	gives	give	VERB
cana-5933	200	43	as	as	ADP
cana-5933	200	44	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	200	45	=	=	SYM
cana-5933	200	46	{	{	PUNCT
cana-5933	200	47	x	x	NOUN
cana-5933	200	48	,	,	PUNCT
cana-5933	200	49	μa(x	μa(x	NOUN
cana-5933	200	50	)	)	PUNCT
cana-5933	200	51	,	,	PUNCT
cana-5933	200	52	𝜗𝐴(x	𝜗𝐴(x	NUM
cana-5933	200	53	):	):	PUNCT
cana-5933	200	54	xe	xe	PRON
cana-5933	200	55	}	}	PUNCT
cana-5933	200	56	and	and	CCONJ
cana-5933	200	57	𝐵𝐹=	𝐵𝐹=	X
cana-5933	200	58	{	{	PUNCT
cana-5933	200	59	y	y	PROPN
cana-5933	200	60	,	,	PUNCT
cana-5933	200	61	𝜇𝐵(y	𝜇𝐵(y	PROPN
cana-5933	200	62	)	)	PUNCT
cana-5933	200	63	,	,	PUNCT
cana-5933	200	64	𝜗𝐵(y	𝜗𝐵(y	NUM
cana-5933	200	65	):	):	PUNCT
cana-5933	200	66	yf	yf	NOUN
cana-5933	200	67	}	}	PUNCT
cana-5933	200	68	6.6	6.6	NUM
cana-5933	200	69	definition	definition	NOUN
cana-5933	200	70	:	:	PUNCT
cana-5933	200	71	if	if	SCONJ
cana-5933	200	72	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	200	73	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	200	74	and𝐵𝐹	and𝐵𝐹	PROPN
cana-5933	200	75	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	200	76	are	be	AUX
cana-5933	200	77	two	two	NUM
cana-5933	200	78	ifss	ifss	ADJ
cana-5933	200	79	over	over	ADP
cana-5933	200	80	different	different	ADJ
cana-5933	200	81	universes	universe	NOUN
cana-5933	200	82	e	e	NOUN
cana-5933	200	83	and	and	CCONJ
cana-5933	200	84	f	f	PROPN
cana-5933	200	85	gives	give	VERB
cana-5933	200	86	as	as	ADP
cana-5933	200	87	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	200	88	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	201	1	=	=	X
cana-5933	201	2	{	{	PUNCT
cana-5933	201	3	x	x	NOUN
cana-5933	201	4	,	,	PUNCT
cana-5933	201	5	𝜗𝐴(x	𝜗𝐴(x	NUM
cana-5933	201	6	)	)	PUNCT
cana-5933	201	7	,	,	PUNCT
cana-5933	201	8	μa(x	μa(x	PROPN
cana-5933	201	9	):	):	PUNCT
cana-5933	201	10	xe	xe	PRON
cana-5933	201	11	}	}	PUNCT
cana-5933	201	12	and	and	CCONJ
cana-5933	201	13	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	201	14	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	201	15	=	=	PUNCT
cana-5933	201	16	{	{	PUNCT
cana-5933	201	17	y	y	PROPN
cana-5933	201	18	,	,	PUNCT
cana-5933	201	19	𝜗𝐵(y	𝜗𝐵(y	NUM
cana-5933	201	20	)	)	PUNCT
cana-5933	201	21	,	,	PUNCT
cana-5933	201	22	𝜇𝐵(y	𝜇𝐵(y	NUM
cana-5933	201	23	):	):	PUNCT
cana-5933	201	24	yf	yf	NOUN
cana-5933	201	25	}	}	PUNCT
cana-5933	201	26	6.7	6.7	NUM
cana-5933	201	27	definition	definition	NOUN
cana-5933	201	28	:	:	PUNCT
cana-5933	201	29	if	if	SCONJ
cana-5933	201	30	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	201	31	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	201	32	and𝐵𝐹	and𝐵𝐹	PROPN
cana-5933	201	33	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	201	34	are	be	AUX
cana-5933	201	35	two	two	NUM
cana-5933	201	36	ifss	ifss	ADJ
cana-5933	201	37	over	over	ADP
cana-5933	201	38	different	different	ADJ
cana-5933	201	39	universes	universe	NOUN
cana-5933	201	40	e	e	NOUN
cana-5933	201	41	and	and	CCONJ
cana-5933	201	42	f	f	PROPN
cana-5933	201	43	gives	give	VERB
cana-5933	201	44	as	as	ADP
cana-5933	201	45	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	201	46	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	202	1	=	=	X
cana-5933	202	2	{	{	PUNCT
cana-5933	202	3	x	x	NOUN
cana-5933	202	4	,	,	PUNCT
cana-5933	202	5	𝜗𝐴(x	𝜗𝐴(x	NUM
cana-5933	202	6	)	)	PUNCT
cana-5933	202	7	,	,	PUNCT
cana-5933	202	8	μa(x	μa(x	PROPN
cana-5933	202	9	):	):	PUNCT
cana-5933	202	10	xe	xe	PRON
cana-5933	202	11	}	}	PUNCT
cana-5933	202	12	and	and	CCONJ
cana-5933	202	13	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	202	14	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	202	15	=	=	PUNCT
cana-5933	202	16	{	{	PUNCT
cana-5933	202	17	y	y	PROPN
cana-5933	202	18	,	,	PUNCT
cana-5933	202	19	𝜗𝐵(y	𝜗𝐵(y	NUM
cana-5933	202	20	)	)	PUNCT
cana-5933	202	21	,	,	PUNCT
cana-5933	202	22	𝜇𝐵(y	𝜇𝐵(y	NUM
cana-5933	202	23	):	):	PUNCT
cana-5933	202	24	yf	yf	NOUN
cana-5933	202	25	}	}	PUNCT
cana-5933	202	26	1	1	NUM
cana-5933	202	27	.	.	PUNCT
cana-5933	203	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	203	2	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	203	3	∩	∩	ADJ
cana-5933	203	4	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	203	5	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	203	6	=	=	X
cana-5933	203	7	{	{	PUNCT
cana-5933	203	8	〈	〈	PROPN
cana-5933	203	9	x	x	PROPN
cana-5933	203	10	,	,	PUNCT
cana-5933	203	11	y	y	PROPN
cana-5933	203	12	〉	〉	NOUN
cana-5933	203	13	,	,	PUNCT
cana-5933	203	14	min	min	PROPN
cana-5933	203	15	(	(	PUNCT
cana-5933	203	16	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	203	17	(	(	PUNCT
cana-5933	203	18	x	x	NOUN
cana-5933	203	19	)	)	PUNCT
cana-5933	203	20	∙	∙	PROPN
cana-5933	203	21	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	203	22	(	(	PUNCT
cana-5933	203	23	y	y	NOUN
cana-5933	203	24	)	)	PUNCT
cana-5933	203	25	,	,	PUNCT
cana-5933	203	26	max	max	PROPN
cana-5933	203	27	(	(	PUNCT
cana-5933	203	28	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	203	29	̅̅	̅̅	NOUN
cana-5933	203	30	̅(x	̅(x	NOUN
cana-5933	203	31	)	)	PUNCT
cana-5933	203	32	∙	∙	PROPN
cana-5933	203	33	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	203	34	̅̅	̅̅	NOUN
cana-5933	203	35	̅	̅	NOUN
cana-5933	203	36	(	(	PUNCT
cana-5933	203	37	y	y	NOUN
cana-5933	203	38	)	)	PUNCT
cana-5933	203	39	):	):	PUNCT
cana-5933	203	40	xe	xe	PROPN
cana-5933	203	41	,	,	PUNCT
cana-5933	203	42	y𝐹	y𝐹	NOUN
cana-5933	203	43	}	}	PUNCT
cana-5933	203	44	2	2	NUM
cana-5933	203	45	.	.	X
cana-5933	204	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	204	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	204	3	∪	∪	ADP
cana-5933	204	4	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	204	5	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	204	6	=	=	PUNCT
cana-5933	204	7	{	{	PUNCT
cana-5933	204	8	〈	〈	PROPN
cana-5933	204	9	x	x	PROPN
cana-5933	204	10	,	,	PUNCT
cana-5933	204	11	y	y	PROPN
cana-5933	204	12	〉	〉	NOUN
cana-5933	204	13	,	,	PUNCT
cana-5933	204	14	max	max	PROPN
cana-5933	204	15	(	(	PUNCT
cana-5933	204	16	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	204	17	(	(	PUNCT
cana-5933	204	18	x	x	NOUN
cana-5933	204	19	)	)	PUNCT
cana-5933	204	20	∙	∙	PROPN
cana-5933	204	21	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	204	22	(	(	PUNCT
cana-5933	204	23	y	y	NOUN
cana-5933	204	24	)	)	PUNCT
cana-5933	204	25	,	,	PUNCT
cana-5933	204	26	min	min	PROPN
cana-5933	204	27	(	(	PUNCT
cana-5933	204	28	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	204	29	̅̅	̅̅	NOUN
cana-5933	204	30	̅(x	̅(x	NOUN
cana-5933	204	31	)	)	PUNCT
cana-5933	204	32	∙	∙	PROPN
cana-5933	204	33	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	204	34	̅̅	̅̅	NOUN
cana-5933	204	35	̅	̅	NOUN
cana-5933	204	36	(	(	PUNCT
cana-5933	204	37	y	y	NOUN
cana-5933	204	38	)	)	PUNCT
cana-5933	204	39	):	):	PUNCT
cana-5933	204	40	xe	xe	PROPN
cana-5933	204	41	,	,	PUNCT
cana-5933	204	42	y𝐹	y𝐹	NOUN
cana-5933	204	43	}	}	PUNCT
cana-5933	204	44	3	3	X
cana-5933	204	45	.	.	X
cana-5933	205	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	205	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	205	3	+	+	CCONJ
cana-5933	205	4	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	205	5	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	205	6	=	=	PUNCT
cana-5933	205	7	{	{	PUNCT
cana-5933	205	8	〈	〈	PROPN
cana-5933	205	9	x	x	PROPN
cana-5933	205	10	,	,	PUNCT
cana-5933	205	11	y	y	PROPN
cana-5933	205	12	〉	〉	NOUN
cana-5933	205	13	,	,	PUNCT
cana-5933	205	14	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	205	15	(	(	PUNCT
cana-5933	205	16	x	x	NOUN
cana-5933	205	17	)	)	PUNCT
cana-5933	205	18	+	+	CCONJ
cana-5933	205	19	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	205	20	(	(	PUNCT
cana-5933	205	21	y	y	NOUN
cana-5933	205	22	)	)	PUNCT
cana-5933	205	23	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	205	24	(	(	PUNCT
cana-5933	205	25	x	x	NOUN
cana-5933	205	26	)	)	PUNCT
cana-5933	205	27	.	.	PUNCT
cana-5933	206	1	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	206	2	(	(	PUNCT
cana-5933	206	3	y	y	NOUN
cana-5933	206	4	)	)	PUNCT
cana-5933	206	5	,	,	PUNCT
cana-5933	206	6	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	206	7	̅̅	̅̅	NOUN
cana-5933	206	8	̅(x	̅(x	NOUN
cana-5933	206	9	)	)	PUNCT
cana-5933	206	10	∙	∙	PROPN
cana-5933	206	11	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	206	12	̅̅	̅̅	NOUN
cana-5933	206	13	̅	̅	NOUN
cana-5933	206	14	(	(	PUNCT
cana-5933	206	15	y	y	NOUN
cana-5933	206	16	):	):	PUNCT
cana-5933	206	17	xe	xe	PROPN
cana-5933	206	18	,	,	PUNCT
cana-5933	206	19	y𝐹	y𝐹	NOUN
cana-5933	206	20	}	}	PUNCT
cana-5933	206	21	4	4	NUM
cana-5933	206	22	.	.	X
cana-5933	207	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	207	2	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	207	3	.	.	PUNCT
cana-5933	208	1	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	208	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	208	3	=	=	X
cana-5933	208	4	{	{	PUNCT
cana-5933	208	5	〈	〈	PROPN
cana-5933	208	6	x	x	PROPN
cana-5933	208	7	,	,	PUNCT
cana-5933	208	8	y	y	PROPN
cana-5933	208	9	〉	〉	NOUN
cana-5933	208	10	,	,	PUNCT
cana-5933	208	11	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	208	12	(	(	PUNCT
cana-5933	208	13	x	x	NOUN
cana-5933	208	14	)	)	PUNCT
cana-5933	208	15	∙	∙	PROPN
cana-5933	208	16	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	208	17	(	(	PUNCT
cana-5933	208	18	y	y	NOUN
cana-5933	208	19	)	)	PUNCT
cana-5933	208	20	,	,	PUNCT
cana-5933	208	21	(	(	PUNCT
cana-5933	208	22	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	208	23	̅̅	̅̅	NOUN
cana-5933	208	24	̅(x	̅(x	NOUN
cana-5933	208	25	)	)	PUNCT
cana-5933	209	1	+	+	X
cana-5933	209	2	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	209	3	̅̅	̅̅	NOUN
cana-5933	209	4	̅	̅	NOUN
cana-5933	209	5	(	(	PUNCT
cana-5933	209	6	y	y	NOUN
cana-5933	209	7	)	)	PUNCT
cana-5933	209	8	(	(	PUNCT
cana-5933	209	9	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	209	10	̅̅	̅̅	NOUN
cana-5933	209	11	̅(x	̅(x	NOUN
cana-5933	209	12	)	)	PUNCT
cana-5933	209	13	∙	∙	PROPN
cana-5933	209	14	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	209	15	̅̅	̅̅	NOUN
cana-5933	209	16	̅	̅	NOUN
cana-5933	209	17	(	(	PUNCT
cana-5933	209	18	y	y	NOUN
cana-5933	209	19	):	):	PUNCT
cana-5933	209	20	xe	xe	PROPN
cana-5933	209	21	,	,	PUNCT
cana-5933	209	22	y𝐹	y𝐹	NOUN
cana-5933	209	23	}	}	PUNCT
cana-5933	209	24	5	5	NUM
cana-5933	209	25	.	.	PUNCT
cana-5933	210	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	210	2	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	210	3	@	@	ADP
cana-5933	210	4	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	210	5	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	210	6	=	=	X
cana-5933	210	7	{	{	PUNCT
cana-5933	210	8	〈	〈	PROPN
cana-5933	210	9	x	x	PROPN
cana-5933	210	10	,	,	PUNCT
cana-5933	210	11	y	y	PROPN
cana-5933	210	12	〉	〉	NOUN
cana-5933	210	13	,	,	PUNCT
cana-5933	210	14	𝜇𝐴̅̅	𝜇𝐴̅̅	PROPN
cana-5933	210	15	̅̅	̅̅	PROPN
cana-5933	210	16	(	(	PUNCT
cana-5933	210	17	x	x	X
cana-5933	210	18	)	)	PUNCT
cana-5933	211	1	∙	∙	PROPN
cana-5933	211	2	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	211	3	̅̅	̅̅	NOUN
cana-5933	211	4	(	(	PUNCT
cana-5933	211	5	y	y	NOUN
cana-5933	211	6	)	)	PUNCT
cana-5933	211	7	2	2	NUM
cana-5933	211	8	,	,	PUNCT
cana-5933	211	9	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	211	10	̅̅	̅̅	PROPN
cana-5933	211	11	̅̅	̅̅	PROPN
cana-5933	211	12	(	(	PUNCT
cana-5933	211	13	x	x	X
cana-5933	211	14	)	)	PUNCT
cana-5933	211	15	+	+	ADJ
cana-5933	211	16	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	211	17	̅̅	̅̅	NOUN
cana-5933	211	18	̅̅	̅̅	PROPN
cana-5933	211	19	(	(	PUNCT
cana-5933	211	20	y	y	NOUN
cana-5933	211	21	)	)	PUNCT
cana-5933	211	22	2	2	NUM
cana-5933	211	23	:	:	PUNCT
cana-5933	211	24	xe	xe	PROPN
cana-5933	211	25	,	,	PUNCT
cana-5933	211	26	y𝐹	y𝐹	NOUN
cana-5933	211	27	}	}	PUNCT
cana-5933	211	28	6	6	NUM
cana-5933	211	29	.	.	PUNCT
cana-5933	212	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	212	2	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	212	3	$	$	SYM
cana-5933	212	4	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	212	5	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	212	6	=	=	PUNCT
cana-5933	212	7	{	{	PUNCT
cana-5933	212	8	〈	〈	PROPN
cana-5933	212	9	x	x	PROPN
cana-5933	212	10	,	,	PUNCT
cana-5933	212	11	y	y	PROPN
cana-5933	212	12	〉	〉	NOUN
cana-5933	212	13	,	,	PUNCT
cana-5933	212	14	√𝜇𝐴̅̅̅̅	√𝜇𝐴̅̅̅̅	VERB
cana-5933	212	15	(	(	PUNCT
cana-5933	212	16	x	x	X
cana-5933	212	17	)	)	PUNCT
cana-5933	212	18	∙	∙	PROPN
cana-5933	212	19	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	212	20	(	(	PUNCT
cana-5933	212	21	y	y	NOUN
cana-5933	212	22	)	)	PUNCT
cana-5933	212	23	,	,	PUNCT
cana-5933	212	24	√	√	PROPN
cana-5933	212	25	(	(	PUNCT
cana-5933	212	26	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	212	27	̅̅	̅̅	NOUN
cana-5933	212	28	̅(x	̅(x	NOUN
cana-5933	212	29	)	)	PUNCT
cana-5933	212	30	∙	∙	PROPN
cana-5933	212	31	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	212	32	̅̅	̅̅	NOUN
cana-5933	212	33	̅	̅	NOUN
cana-5933	212	34	(	(	PUNCT
cana-5933	212	35	y	y	NOUN
cana-5933	212	36	):	):	PUNCT
cana-5933	212	37	xe	xe	PROPN
cana-5933	212	38	,	,	PUNCT
cana-5933	212	39	y𝐹	y𝐹	NOUN
cana-5933	212	40	}	}	PUNCT
cana-5933	212	41	7	7	X
cana-5933	212	42	.	.	X
cana-5933	213	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	213	2	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	213	3	#	#	NOUN
cana-5933	213	4	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	213	5	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	213	6	=	=	PUNCT
cana-5933	213	7	{	{	PUNCT
cana-5933	213	8	〈	〈	PROPN
cana-5933	213	9	x	x	PROPN
cana-5933	213	10	,	,	PUNCT
cana-5933	213	11	y	y	PROPN
cana-5933	213	12	〉	〉	NOUN
cana-5933	213	13	,	,	PUNCT
cana-5933	213	14	2	2	NUM
cana-5933	213	15	𝜇𝐴̅̅	𝜇𝐴̅̅	PROPN
cana-5933	213	16	̅̅	̅̅	NOUN
cana-5933	213	17	(	(	PUNCT
cana-5933	213	18	x	x	X
cana-5933	213	19	)	)	PUNCT
cana-5933	213	20	∙	∙	PROPN
cana-5933	213	21	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	213	22	̅̅	̅̅	NOUN
cana-5933	213	23	(	(	PUNCT
cana-5933	213	24	y	y	NOUN
cana-5933	213	25	)	)	PUNCT
cana-5933	213	26	𝜇𝐴̅̅	𝜇𝐴̅̅	PROPN
cana-5933	213	27	̅̅	̅̅	PROPN
cana-5933	213	28	(	(	PUNCT
cana-5933	213	29	x)+	x)+	NUM
cana-5933	213	30	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	213	31	̅̅	̅̅	NOUN
cana-5933	213	32	(	(	PUNCT
cana-5933	213	33	y	y	NOUN
cana-5933	213	34	)	)	PUNCT
cana-5933	213	35	,	,	PUNCT
cana-5933	213	36	2	2	NUM
cana-5933	213	37	(	(	PUNCT
cana-5933	213	38	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	213	39	̅̅	̅̅	PROPN
cana-5933	213	40	̅̅	̅̅	PROPN
cana-5933	213	41	(	(	PUNCT
cana-5933	213	42	x	x	NOUN
cana-5933	213	43	)	)	PUNCT
cana-5933	213	44	∙𝜗𝐴	∙𝜗𝐴	ADJ
cana-5933	213	45	̅̅	̅̅	NOUN
cana-5933	213	46	̅̅	̅̅	PROPN
cana-5933	213	47	(	(	PUNCT
cana-5933	213	48	y	y	NOUN
cana-5933	213	49	)	)	PUNCT
cana-5933	213	50	(	(	PUNCT
cana-5933	213	51	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	213	52	̅̅	̅̅	PROPN
cana-5933	213	53	̅̅	̅̅	PROPN
cana-5933	213	54	(	(	PUNCT
cana-5933	213	55	x	x	X
cana-5933	213	56	)	)	PUNCT
cana-5933	213	57	+	+	ADJ
cana-5933	213	58	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	213	59	̅̅	̅̅	NOUN
cana-5933	213	60	̅̅	̅̅	PROPN
cana-5933	213	61	(	(	PUNCT
cana-5933	213	62	y	y	NOUN
cana-5933	213	63	)	)	PUNCT
cana-5933	213	64	:	:	PUNCT
cana-5933	214	1	xe	xe	PROPN
cana-5933	214	2	,	,	PUNCT
cana-5933	214	3	y𝐹	y𝐹	NOUN
cana-5933	214	4	}	}	PUNCT
cana-5933	214	5	8	8	NUM
cana-5933	214	6	.	.	PUNCT
cana-5933	215	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	215	2	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	215	3	∗	∗	NOUN
cana-5933	215	4	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	215	5	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	215	6	=	=	X
cana-5933	215	7	{	{	PUNCT
cana-5933	215	8	〈	〈	PROPN
cana-5933	215	9	x	x	PROPN
cana-5933	215	10	,	,	PUNCT
cana-5933	215	11	y	y	PROPN
cana-5933	215	12	〉	〉	NOUN
cana-5933	215	13	,	,	PUNCT
cana-5933	215	14	𝜇𝐴̅̅	𝜇𝐴̅̅	PROPN
cana-5933	215	15	̅̅	̅̅	PROPN
cana-5933	215	16	(	(	PUNCT
cana-5933	215	17	x)+	x)+	NUM
cana-5933	215	18	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	215	19	̅̅	̅̅	NOUN
cana-5933	215	20	(	(	PUNCT
cana-5933	215	21	y	y	NOUN
cana-5933	215	22	)	)	PUNCT
cana-5933	215	23	2(𝜇𝐴̅̅	2(𝜇𝐴̅̅	NUM
cana-5933	215	24	̅̅	̅̅	NOUN
cana-5933	215	25	(	(	PUNCT
cana-5933	215	26	x	x	X
cana-5933	215	27	)	)	PUNCT
cana-5933	215	28	∙	∙	PROPN
cana-5933	215	29	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	215	30	̅̅	̅̅	NOUN
cana-5933	215	31	(	(	PUNCT
cana-5933	215	32	y)+	y)+	NOUN
cana-5933	215	33	1	1	NUM
cana-5933	215	34	)	)	PUNCT
cana-5933	215	35	,	,	PUNCT
cana-5933	215	36	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	215	37	̅̅	̅̅	PROPN
cana-5933	215	38	̅̅	̅̅	PROPN
cana-5933	215	39	(	(	PUNCT
cana-5933	215	40	x)+	x)+	PROPN
cana-5933	215	41	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	215	42	̅̅	̅̅	PROPN
cana-5933	215	43	̅̅	̅̅	PROPN
cana-5933	215	44	(	(	PUNCT
cana-5933	215	45	y	y	PROPN
cana-5933	215	46	)	)	PUNCT
cana-5933	215	47	2(𝜗𝐴	2(𝜗𝐴	NUM
cana-5933	215	48	̅̅	̅̅	PROPN
cana-5933	215	49	̅̅	̅̅	PROPN
cana-5933	215	50	(	(	PUNCT
cana-5933	215	51	x	x	NOUN
cana-5933	215	52	)	)	PUNCT
cana-5933	215	53	∙𝜗𝐴	∙𝜗𝐴	ADJ
cana-5933	215	54	̅̅	̅̅	NOUN
cana-5933	215	55	̅̅	̅̅	PROPN
cana-5933	215	56	(	(	PUNCT
cana-5933	215	57	y)+1	y)+1	NUM
cana-5933	215	58	)	)	PUNCT
cana-5933	215	59	:	:	PUNCT
cana-5933	216	1	xe	xe	PROPN
cana-5933	216	2	,	,	PUNCT
cana-5933	216	3	y𝐹	y𝐹	NOUN
cana-5933	216	4	}	}	PUNCT
cana-5933	216	5	9	9	NUM
cana-5933	216	6	.	.	X
cana-5933	217	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	217	2	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	217	3			PUNCT
cana-5933	217	4	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	217	5	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	217	6	=	=	X
cana-5933	217	7	{	{	PUNCT
cana-5933	217	8	(	(	PUNCT
cana-5933	217	9	x	x	NOUN
cana-5933	217	10	,	,	PUNCT
cana-5933	217	11	y	y	PROPN
cana-5933	217	12	)	)	PUNCT
cana-5933	217	13	,	,	PUNCT
cana-5933	217	14	�	�	PROPN
cana-5933	217	15	̅	̅	NOUN
cana-5933	217	16	�	�	NOUN
cana-5933	217	17	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	217	18	�	�	NOUN
cana-5933	217	19	̅	̅	NOUN
cana-5933	217	20	�	�	NOUN
cana-5933	217	21	𝐵(y	𝐵(y	NUM
cana-5933	217	22	)	)	PUNCT
cana-5933	217	23	�	�	NOUN
cana-5933	217	24	̅	̅	NOUN
cana-5933	217	25	�	�	NOUN
cana-5933	217	26	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	217	27	�	�	NOUN
cana-5933	217	28	̅	̅	NOUN
cana-5933	217	29	�	�	NOUN
cana-5933	217	30	𝐵(y)+	𝐵(y)+	NOUN
cana-5933	217	31	�	�	NOUN
cana-5933	217	32	̅	̅	NOUN
cana-5933	217	33	�	�	NOUN
cana-5933	217	34	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	217	35	�	�	NOUN
cana-5933	217	36	̅	̅	NOUN
cana-5933	217	37	�	�	NOUN
cana-5933	217	38	𝐵(y	𝐵(y	NUM
cana-5933	217	39	)	)	PUNCT
cana-5933	217	40	,	,	PUNCT
cana-5933	217	41	�	�	NOUN
cana-5933	217	42	̅	̅	NOUN
cana-5933	217	43	�	�	NOUN
cana-5933	217	44	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	217	45	�	�	NOUN
cana-5933	217	46	̅	̅	NOUN
cana-5933	217	47	�	�	NOUN
cana-5933	217	48	𝐵(y	𝐵(y	NUM
cana-5933	217	49	)	)	PUNCT
cana-5933	217	50	�	�	NOUN
cana-5933	217	51	̅	̅	NOUN
cana-5933	217	52	�	�	NOUN
cana-5933	217	53	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	217	54	�	�	NOUN
cana-5933	217	55	̅	̅	NOUN
cana-5933	217	56	�	�	NOUN
cana-5933	217	57	𝐵(y)+	𝐵(y)+	NOUN
cana-5933	217	58	�	�	NOUN
cana-5933	217	59	̅	̅	NOUN
cana-5933	217	60	�	�	NOUN
cana-5933	217	61	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	217	62	�	�	NOUN
cana-5933	217	63	̅	̅	NOUN
cana-5933	217	64	�	�	NOUN
cana-5933	217	65	𝐵(y	𝐵(y	NUM
cana-5933	217	66	)	)	PUNCT
cana-5933	217	67	∶	∶	NOUN
cana-5933	217	68	xe	xe	X
cana-5933	217	69	,	,	PUNCT
cana-5933	217	70	yf	yf	PROPN
cana-5933	217	71	}	}	PUNCT
cana-5933	217	72	theorem	theorem	VERB
cana-5933	217	73	6.7.1	6.7.1	NOUN
cana-5933	217	74	:	:	PUNCT
cana-5933	217	75	if	if	SCONJ
cana-5933	217	76	e	e	PROPN
cana-5933	217	77	and	and	CCONJ
cana-5933	217	78	f	f	PROPN
cana-5933	217	79	be	be	AUX
cana-5933	217	80	two	two	NUM
cana-5933	217	81	universal	universal	ADJ
cana-5933	217	82	sets	set	NOUN
cana-5933	217	83	.	.	PUNCT
cana-5933	218	1	for	for	SCONJ
cana-5933	218	2	every	every	DET
cana-5933	218	3	necessity	necessity	NOUN
cana-5933	218	4	function	function	NOUN
cana-5933	218	5	of	of	ADP
cana-5933	218	6	intuitionistic	intuitionistic	ADJ
cana-5933	218	7	fuzzy	fuzzy	ADJ
cana-5933	218	8	communications	communication	NOUN
cana-5933	218	9	on	on	ADP
cana-5933	218	10	applied	apply	VERB
cana-5933	218	11	nonlinear	nonlinear	ADJ
cana-5933	218	12	analysis	analysis	NOUN
cana-5933	218	13	issn	issn	NOUN
cana-5933	218	14	:	:	PUNCT
cana-5933	218	15	1074	1074	NUM
cana-5933	218	16	-	-	PUNCT
cana-5933	218	17	133x	133x	NUM
cana-5933	218	18	vol	vol	VERB
cana-5933	218	19	32	32	NUM
cana-5933	218	20	no	no	NOUN
cana-5933	218	21	.	.	PUNCT
cana-5933	219	1	10s	10	NOUN
cana-5933	219	2	(	(	PUNCT
cana-5933	219	3	2025	2025	NUM
cana-5933	219	4	)	)	PUNCT
cana-5933	219	5	3143	3143	NUM
cana-5933	219	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	219	7	matrix	matrix	NOUN
cana-5933	219	8	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	219	9	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	219	10	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-5933	219	11	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	219	12	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	219	13	are	be	AUX
cana-5933	219	14	intuitionistic	intuitionistic	ADJ
cana-5933	219	15	fuzzy	fuzzy	ADJ
cana-5933	219	16	matrix	matrix	NOUN
cana-5933	219	17	in	in	ADP
cana-5933	219	18	e	e	PROPN
cana-5933	219	19	and	and	CCONJ
cana-5933	219	20	f	f	PROPN
cana-5933	219	21	then	then	ADV
cana-5933	219	22			PROPN
cana-5933	219	23	�	�	PROPN
cana-5933	219	24	̅	̅	NOUN
cana-5933	219	25	�	�	NOUN
cana-5933	219	26	𝐸	𝐸	PROPN
cana-5933	219	27			PUNCT
cana-5933	219	28			PROPN
cana-5933	219	29	�	�	NOUN
cana-5933	219	30	̅	̅	NOUN
cana-5933	219	31	�	�	NOUN
cana-5933	219	32	𝐹	𝐹	PROPN
cana-5933	219	33	is	be	AUX
cana-5933	219	34	also	also	ADV
cana-5933	219	35	necessity	necessity	NOUN
cana-5933	219	36	function	function	NOUN
cana-5933	219	37	of	of	ADP
cana-5933	219	38	intuitionistic	intuitionistic	ADJ
cana-5933	219	39	fuzzy	fuzzy	ADJ
cana-5933	219	40	matrix	matrix	NOUN
cana-5933	219	41	.	.	PUNCT
cana-5933	220	1	proof	proof	NOUN
cana-5933	220	2	:	:	PUNCT
cana-5933	220	3	if	if	SCONJ
cana-5933	220	4	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	220	5	and	and	CCONJ
cana-5933	220	6	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	220	7	are	be	AUX
cana-5933	220	8	two	two	NUM
cana-5933	220	9	intuitionistic	intuitionistic	ADJ
cana-5933	220	10	fuzzy	fuzzy	ADJ
cana-5933	220	11	matrices	matrix	NOUN
cana-5933	220	12	sets	set	NOUN
cana-5933	220	13	over	over	ADP
cana-5933	220	14	different	different	ADJ
cana-5933	220	15	universes	universe	NOUN
cana-5933	220	16	e	e	PROPN
cana-5933	220	17	&	&	CCONJ
cana-5933	220	18	f	f	PROPN
cana-5933	220	19	and	and	CCONJ
cana-5933	220	20	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	220	21	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	220	22	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5933	220	23	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	220	24	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	220	25	are	be	AUX
cana-5933	220	26	also	also	ADV
cana-5933	220	27	intuitionistic	intuitionistic	ADJ
cana-5933	220	28	fuzzy	fuzzy	ADJ
cana-5933	220	29	matrices	matrix	NOUN
cana-5933	220	30	sets	set	NOUN
cana-5933	220	31	over	over	ADP
cana-5933	220	32	different	different	ADJ
cana-5933	220	33	universes	universe	NOUN
cana-5933	220	34	e	e	NOUN
cana-5933	220	35	and	and	CCONJ
cana-5933	220	36	f.	f.	PROPN
cana-5933	220	37	if	if	SCONJ
cana-5933	220	38	we	we	PRON
cana-5933	220	39	consider	consider	VERB
cana-5933	220	40	to	to	ADP
cana-5933	220	41	3×	3×	NUM
cana-5933	220	42	3	3	NUM
cana-5933	220	43	matrix	matrix	NOUN
cana-5933	220	44	.	.	PUNCT
cana-5933	221	1	𝐴𝐸=	𝐴𝐸=	NOUN
cana-5933	221	2	(	(	PUNCT
cana-5933	221	3	(	(	PUNCT
cana-5933	221	4	𝜇11	𝜇11	ADJ
cana-5933	221	5	,	,	PUNCT
cana-5933	221	6	𝜋11	𝜋11	NOUN
cana-5933	221	7	)	)	PUNCT
cana-5933	221	8	(	(	PUNCT
cana-5933	221	9	𝜇12	𝜇12	NOUN
cana-5933	221	10	,	,	PUNCT
cana-5933	221	11	𝜋12	𝜋12	NOUN
cana-5933	221	12	)	)	PUNCT
cana-5933	221	13	(	(	PUNCT
cana-5933	221	14	𝜇13	𝜇13	NOUN
cana-5933	221	15	,	,	PUNCT
cana-5933	221	16	𝜋13	𝜋13	NOUN
cana-5933	221	17	)	)	PUNCT
cana-5933	221	18	(	(	PUNCT
cana-5933	221	19	𝜇21	𝜇21	NOUN
cana-5933	221	20	,	,	PUNCT
cana-5933	221	21	𝜋21	𝜋21	NOUN
cana-5933	221	22	)	)	PUNCT
cana-5933	221	23	(	(	PUNCT
cana-5933	221	24	𝜇22	𝜇22	NOUN
cana-5933	221	25	,	,	PUNCT
cana-5933	221	26	𝜋22	𝜋22	NOUN
cana-5933	221	27	)	)	PUNCT
cana-5933	221	28	(	(	PUNCT
cana-5933	221	29	𝜇23	𝜇23	PROPN
cana-5933	221	30	,	,	PUNCT
cana-5933	221	31	𝜋23	𝜋23	ADJ
cana-5933	221	32	)	)	PUNCT
cana-5933	221	33	(	(	PUNCT
cana-5933	221	34	𝜇31	𝜇31	PROPN
cana-5933	221	35	,	,	PUNCT
cana-5933	221	36	𝜋31	𝜋31	PROPN
cana-5933	221	37	)	)	PUNCT
cana-5933	221	38	(	(	PUNCT
cana-5933	221	39	𝜇32	𝜇32	NOUN
cana-5933	221	40	,	,	PUNCT
cana-5933	221	41	𝜋32	𝜋32	NOUN
cana-5933	221	42	)	)	PUNCT
cana-5933	221	43	(	(	PUNCT
cana-5933	221	44	𝜇33	𝜇33	NOUN
cana-5933	221	45	,	,	PUNCT
cana-5933	221	46	𝜋33	𝜋33	NOUN
cana-5933	221	47	)	)	PUNCT
cana-5933	221	48	)	)	PUNCT
cana-5933	221	49	and	and	CCONJ
cana-5933	221	50	𝐵𝐹=	𝐵𝐹=	NOUN
cana-5933	221	51	(	(	PUNCT
cana-5933	221	52	(	(	PUNCT
cana-5933	221	53	𝜗11	𝜗11	NOUN
cana-5933	221	54	,	,	PUNCT
cana-5933	221	55	𝜃11	𝜃11	NOUN
cana-5933	221	56	)	)	PUNCT
cana-5933	221	57	(	(	PUNCT
cana-5933	221	58	𝜗12	𝜗12	PROPN
cana-5933	221	59	,	,	PUNCT
cana-5933	221	60	𝜃12	𝜃12	NUM
cana-5933	221	61	)	)	PUNCT
cana-5933	221	62	(	(	PUNCT
cana-5933	221	63	𝜗13	𝜗13	PROPN
cana-5933	221	64	,	,	PUNCT
cana-5933	221	65	𝜃13	𝜃13	PROPN
cana-5933	221	66	)	)	PUNCT
cana-5933	221	67	(	(	PUNCT
cana-5933	221	68	𝜗21	𝜗21	NOUN
cana-5933	221	69	,	,	PUNCT
cana-5933	221	70	𝜃21	𝜃21	NOUN
cana-5933	221	71	)	)	PUNCT
cana-5933	221	72	(	(	PUNCT
cana-5933	221	73	𝜗22	𝜗22	PROPN
cana-5933	221	74	,	,	PUNCT
cana-5933	221	75	𝜃22	𝜃22	NOUN
cana-5933	221	76	)	)	PUNCT
cana-5933	221	77	(	(	PUNCT
cana-5933	221	78	𝜗23	𝜗23	PROPN
cana-5933	221	79	,	,	PUNCT
cana-5933	221	80	𝜃23	𝜃23	PROPN
cana-5933	221	81	)	)	PUNCT
cana-5933	221	82	(	(	PUNCT
cana-5933	221	83	𝜗31	𝜗31	NUM
cana-5933	221	84	,	,	PUNCT
cana-5933	221	85	𝜃31	𝜃31	NUM
cana-5933	221	86	)	)	PUNCT
cana-5933	221	87	(	(	PUNCT
cana-5933	221	88	𝜗32	𝜗32	PROPN
cana-5933	221	89	,	,	PUNCT
cana-5933	221	90	𝜃32	𝜃32	PROPN
cana-5933	221	91	)	)	PUNCT
cana-5933	221	92	(	(	PUNCT
cana-5933	221	93	𝜗33	𝜗33	NOUN
cana-5933	221	94	,	,	PUNCT
cana-5933	221	95	𝜃33	𝜃33	NUM
cana-5933	221	96	)	)	PUNCT
cana-5933	221	97	)	)	PUNCT
cana-5933	221	98	intuitionistic	intuitionistic	ADJ
cana-5933	221	99	fuzzy	fuzzy	ADJ
cana-5933	221	100	matrices	matrix	NOUN
cana-5933	221	101	and	and	CCONJ
cana-5933	221	102	also	also	ADV
cana-5933	221	103	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	221	104	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	221	105	=	=	PUNCT
cana-5933	221	106	(	(	PUNCT
cana-5933	221	107	(	(	PUNCT
cana-5933	221	108	𝜋11	𝜋11	NOUN
cana-5933	221	109	,	,	PUNCT
cana-5933	221	110	𝜇11	𝜇11	NOUN
cana-5933	221	111	)	)	PUNCT
cana-5933	221	112	(	(	PUNCT
cana-5933	221	113	𝜋12	𝜋12	NOUN
cana-5933	221	114	,	,	PUNCT
cana-5933	221	115	𝜇12	𝜇12	NOUN
cana-5933	221	116	)	)	PUNCT
cana-5933	221	117	(	(	PUNCT
cana-5933	221	118	𝜋13	𝜋13	PROPN
cana-5933	221	119	,	,	PUNCT
cana-5933	221	120	𝜇13	𝜇13	NOUN
cana-5933	221	121	)	)	PUNCT
cana-5933	221	122	(	(	PUNCT
cana-5933	221	123	𝜋21	𝜋21	ADJ
cana-5933	221	124	,	,	PUNCT
cana-5933	221	125	𝜇21	𝜇21	NOUN
cana-5933	221	126	)	)	PUNCT
cana-5933	221	127	(	(	PUNCT
cana-5933	221	128	𝜋22	𝜋22	NOUN
cana-5933	221	129	,	,	PUNCT
cana-5933	221	130	𝜇22	𝜇22	PROPN
cana-5933	221	131	)	)	PUNCT
cana-5933	221	132	(	(	PUNCT
cana-5933	221	133	𝜋23	𝜋23	ADJ
cana-5933	221	134	,	,	PUNCT
cana-5933	221	135	𝜇23	𝜇23	NOUN
cana-5933	221	136	)	)	PUNCT
cana-5933	221	137	(	(	PUNCT
cana-5933	221	138	𝜋31	𝜋31	PROPN
cana-5933	221	139	,	,	PUNCT
cana-5933	221	140	𝜇31	𝜇31	NOUN
cana-5933	221	141	)	)	PUNCT
cana-5933	221	142	(	(	PUNCT
cana-5933	221	143	𝜋32	𝜋32	NOUN
cana-5933	221	144	,	,	PUNCT
cana-5933	221	145	𝜇32	𝜇32	NOUN
cana-5933	221	146	)	)	PUNCT
cana-5933	221	147	(	(	PUNCT
cana-5933	221	148	𝜋33	𝜋33	PROPN
cana-5933	221	149	,	,	PUNCT
cana-5933	221	150	𝜇33	𝜇33	NOUN
cana-5933	221	151	)	)	PUNCT
cana-5933	221	152	)	)	PUNCT
cana-5933	221	153	and	and	CCONJ
cana-5933	221	154	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	221	155	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	221	156	=	=	PUNCT
cana-5933	221	157	(	(	PUNCT
cana-5933	221	158	(	(	PUNCT
cana-5933	221	159	𝜃11	𝜃11	ADJ
cana-5933	221	160	,	,	PUNCT
cana-5933	221	161	𝜗11	𝜗11	NOUN
cana-5933	221	162	)	)	PUNCT
cana-5933	221	163	(	(	PUNCT
cana-5933	221	164	𝜃12	𝜃12	ADJ
cana-5933	221	165	,	,	PUNCT
cana-5933	221	166	𝜗12	𝜗12	PROPN
cana-5933	221	167	)	)	PUNCT
cana-5933	221	168	(	(	PUNCT
cana-5933	221	169	𝜃13	𝜃13	PROPN
cana-5933	221	170	,	,	PUNCT
cana-5933	221	171	𝜗13	𝜗13	NOUN
cana-5933	221	172	)	)	PUNCT
cana-5933	221	173	(	(	PUNCT
cana-5933	221	174	𝜃21	𝜃21	NOUN
cana-5933	221	175	,	,	PUNCT
cana-5933	221	176	𝜗21	𝜗21	NOUN
cana-5933	221	177	)	)	PUNCT
cana-5933	221	178	(	(	PUNCT
cana-5933	221	179	𝜃22	𝜃22	NOUN
cana-5933	221	180	,	,	PUNCT
cana-5933	221	181	𝜗22	𝜗22	PROPN
cana-5933	221	182	)	)	PUNCT
cana-5933	221	183	(	(	PUNCT
cana-5933	221	184	𝜃23	𝜃23	PROPN
cana-5933	221	185	,	,	PUNCT
cana-5933	221	186	𝜗23	𝜗23	ADJ
cana-5933	221	187	)	)	PUNCT
cana-5933	221	188	(	(	PUNCT
cana-5933	221	189	𝜃31	𝜃31	PROPN
cana-5933	221	190	,	,	PUNCT
cana-5933	221	191	𝜗31	𝜗31	NUM
cana-5933	221	192	)	)	PUNCT
cana-5933	221	193	(	(	PUNCT
cana-5933	221	194	𝜃32	𝜃32	PROPN
cana-5933	221	195	,	,	PUNCT
cana-5933	221	196	𝜗32	𝜗32	PROPN
cana-5933	221	197	)	)	PUNCT
cana-5933	221	198	(	(	PUNCT
cana-5933	221	199	𝜃33	𝜃33	NOUN
cana-5933	221	200	,	,	PUNCT
cana-5933	221	201	𝜗33	𝜗33	NOUN
cana-5933	221	202	)	)	PUNCT
cana-5933	221	203	)	)	PUNCT
cana-5933	221	204	intuitionistic	intuitionistic	ADJ
cana-5933	221	205	fuzzy	fuzzy	ADJ
cana-5933	221	206	matrices	matrix	NOUN
cana-5933	221	207	.	.	PUNCT
cana-5933	222	1	by	by	ADP
cana-5933	222	2	the	the	DET
cana-5933	222	3	definition	definition	NOUN
cana-5933	222	4	of	of	ADP
cana-5933	222	5	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	222	6	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	222	7	=	=	X
cana-5933	222	8	{	{	PUNCT
cana-5933	222	9	x	x	NOUN
cana-5933	222	10	,	,	PUNCT
cana-5933	222	11	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	222	12	)	)	PUNCT
cana-5933	222	13	,	,	PUNCT
cana-5933	222	14	𝜇(x	𝜇(x	X
cana-5933	222	15	):	):	PUNCT
cana-5933	222	16	xx	xx	PRON
cana-5933	222	17	}	}	PUNCT
cana-5933	222	18	and	and	CCONJ
cana-5933	222	19	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	222	20	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	222	21	=	=	PUNCT
cana-5933	222	22	{	{	PUNCT
cana-5933	222	23	y	y	PROPN
cana-5933	222	24	,	,	PUNCT
cana-5933	222	25	𝜃𝐴(y	𝜃𝐴(y	PROPN
cana-5933	222	26	)	)	PUNCT
cana-5933	222	27	,	,	PUNCT
cana-5933	222	28	𝜗𝐴(y	𝜗𝐴(y	PROPN
cana-5933	222	29	):	):	PUNCT
cana-5933	222	30	yy	yy	PROPN
cana-5933	222	31	}	}	PUNCT
cana-5933	222	32	are	be	AUX
cana-5933	222	33	two	two	NUM
cana-5933	222	34	intuitionistic	intuitionistic	ADJ
cana-5933	222	35	fuzzy	fuzzy	ADJ
cana-5933	222	36	matrices	matrix	NOUN
cana-5933	222	37	over	over	ADP
cana-5933	222	38	different	different	ADJ
cana-5933	222	39	universes	universe	NOUN
cana-5933	222	40	e	e	NOUN
cana-5933	222	41	and	and	CCONJ
cana-5933	222	42	f.	f.	PROPN
cana-5933	222	43	then	then	ADV
cana-5933	222	44	the	the	DET
cana-5933	222	45	definition	definition	NOUN
cana-5933	222	46	of	of	ADP
cana-5933	222	47	𝐴𝐸	𝐴𝐸	X
cana-5933	222	48	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	222	49	=	=	X
cana-5933	222	50	{	{	PUNCT
cana-5933	222	51	x	x	NOUN
cana-5933	222	52	,	,	PUNCT
cana-5933	222	53	πa(x	πa(x	NOUN
cana-5933	222	54	):	):	PUNCT
cana-5933	222	55	xx	xx	PRON
cana-5933	222	56	}	}	PUNCT
cana-5933	222	57	=	=	SYM
cana-5933	222	58	{	{	PUNCT
cana-5933	222	59	x	x	NOUN
cana-5933	222	60	,	,	PUNCT
cana-5933	222	61	πa(x	πa(x	NOUN
cana-5933	222	62	)	)	PUNCT
cana-5933	222	63	,	,	PUNCT
cana-5933	222	64	1	1	NUM
cana-5933	222	65	−	−	PROPN
cana-5933	222	66	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	222	67	):	):	PUNCT
cana-5933	222	68	xx	xx	NUM
cana-5933	222	69	}	}	PUNCT
cana-5933	222	70	and	and	CCONJ
cana-5933	222	71	𝐵𝐹	𝐵𝐹	NUM
cana-5933	222	72	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	222	73	=	=	SYM
cana-5933	222	74	{	{	PUNCT
cana-5933	222	75	y	y	PROPN
cana-5933	222	76	,	,	PUNCT
cana-5933	222	77	𝜃b(y	𝜃b(y	NUM
cana-5933	222	78	):	):	PUNCT
cana-5933	222	79	yy	yy	NOUN
cana-5933	222	80	}	}	PUNCT
cana-5933	222	81	=	=	SYM
cana-5933	222	82	{	{	PUNCT
cana-5933	222	83	y	y	PROPN
cana-5933	222	84	,	,	PUNCT
cana-5933	222	85	𝜃b(y	𝜃b(y	NUM
cana-5933	222	86	)	)	PUNCT
cana-5933	222	87	,	,	PUNCT
cana-5933	222	88	1	1	NUM
cana-5933	222	89	−	−	NOUN
cana-5933	222	90	𝜃𝐵(y	𝜃𝐵(y	NUM
cana-5933	222	91	):	):	PUNCT
cana-5933	222	92	yy	yy	NOUN
cana-5933	222	93	}	}	PUNCT
cana-5933	222	94	𝐴𝐸	𝐴𝐸	PUNCT
cana-5933	222	95	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	222	96	=(	=(	NOUN
cana-5933	222	97	(	(	PUNCT
cana-5933	222	98	𝜋11	𝜋11	NOUN
cana-5933	222	99	,	,	PUNCT
cana-5933	222	100	1	1	NUM
cana-5933	222	101	−	−	NOUN
cana-5933	222	102	𝜋11	𝜋11	NOUN
cana-5933	222	103	)	)	PUNCT
cana-5933	222	104	(	(	PUNCT
cana-5933	222	105	𝜋12	𝜋12	NOUN
cana-5933	222	106	,	,	PUNCT
cana-5933	222	107	1	1	NUM
cana-5933	222	108	−	−	NOUN
cana-5933	222	109	𝜋12	𝜋12	NOUN
cana-5933	222	110	)	)	PUNCT
cana-5933	222	111	(	(	PUNCT
cana-5933	222	112	𝜋13	𝜋13	ADJ
cana-5933	222	113	,	,	PUNCT
cana-5933	222	114	1	1	NUM
cana-5933	222	115	−	−	NOUN
cana-5933	222	116	𝜋13	𝜋13	NOUN
cana-5933	222	117	)	)	PUNCT
cana-5933	222	118	(	(	PUNCT
cana-5933	222	119	𝜋21	𝜋21	VERB
cana-5933	222	120	,	,	PUNCT
cana-5933	222	121	1	1	NUM
cana-5933	222	122	−	−	NOUN
cana-5933	222	123	𝜋21	𝜋21	PROPN
cana-5933	222	124	)	)	PUNCT
cana-5933	222	125	(	(	PUNCT
cana-5933	222	126	𝜋22	𝜋22	NOUN
cana-5933	222	127	,	,	PUNCT
cana-5933	222	128	1	1	NUM
cana-5933	222	129	−	−	NOUN
cana-5933	222	130	𝜋22	𝜋22	NOUN
cana-5933	222	131	)	)	PUNCT
cana-5933	222	132	(	(	PUNCT
cana-5933	222	133	𝜋23	𝜋23	ADJ
cana-5933	222	134	,	,	PUNCT
cana-5933	222	135	1	1	NUM
cana-5933	222	136	−	−	NOUN
cana-5933	222	137	𝜋23	𝜋23	ADJ
cana-5933	222	138	)	)	PUNCT
cana-5933	222	139	(	(	PUNCT
cana-5933	222	140	𝜋31	𝜋31	PROPN
cana-5933	222	141	,	,	PUNCT
cana-5933	222	142	1	1	NUM
cana-5933	222	143	−	−	NOUN
cana-5933	222	144	𝜋31	𝜋31	NOUN
cana-5933	222	145	)	)	PUNCT
cana-5933	222	146	(	(	PUNCT
cana-5933	222	147	𝜋32	𝜋32	NOUN
cana-5933	222	148	,	,	PUNCT
cana-5933	222	149	1	1	NUM
cana-5933	222	150	−	−	NOUN
cana-5933	222	151	𝜋32	𝜋32	NOUN
cana-5933	222	152	)	)	PUNCT
cana-5933	222	153	(	(	PUNCT
cana-5933	222	154	𝜋33	𝜋33	NOUN
cana-5933	222	155	,	,	PUNCT
cana-5933	222	156	1	1	NUM
cana-5933	222	157	−	−	NOUN
cana-5933	222	158	𝜋33	𝜋33	NOUN
cana-5933	222	159	)	)	PUNCT
cana-5933	222	160	)	)	PUNCT
cana-5933	222	161	and	and	CCONJ
cana-5933	222	162	𝐵𝐹	𝐵𝐹	NUM
cana-5933	222	163	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	222	164	=	=	X
cana-5933	222	165	(	(	PUNCT
cana-5933	222	166	(	(	PUNCT
cana-5933	222	167	𝜃11	𝜃11	ADJ
cana-5933	222	168	,	,	PUNCT
cana-5933	222	169	1	1	NUM
cana-5933	222	170	−	−	NOUN
cana-5933	222	171	𝜃11	𝜃11	NOUN
cana-5933	222	172	)	)	PUNCT
cana-5933	222	173	(	(	PUNCT
cana-5933	222	174	𝜃12	𝜃12	ADJ
cana-5933	222	175	,	,	PUNCT
cana-5933	222	176	1	1	NUM
cana-5933	222	177	−	−	NOUN
cana-5933	222	178	𝜃12	𝜃12	NUM
cana-5933	222	179	)	)	PUNCT
cana-5933	222	180	(	(	PUNCT
cana-5933	222	181	𝜃13	𝜃13	PROPN
cana-5933	222	182	,	,	PUNCT
cana-5933	222	183	1	1	NUM
cana-5933	222	184	−	−	NOUN
cana-5933	222	185	𝜃13	𝜃13	NOUN
cana-5933	222	186	)	)	PUNCT
cana-5933	222	187	(	(	PUNCT
cana-5933	222	188	𝜃21	𝜃21	NOUN
cana-5933	222	189	,	,	PUNCT
cana-5933	222	190	1	1	NUM
cana-5933	222	191	−	−	NOUN
cana-5933	222	192	𝜃21	𝜃21	NOUN
cana-5933	222	193	)	)	PUNCT
cana-5933	222	194	(	(	PUNCT
cana-5933	222	195	𝜃22	𝜃22	ADV
cana-5933	222	196	,	,	PUNCT
cana-5933	222	197	1	1	NUM
cana-5933	222	198	−	−	PROPN
cana-5933	222	199	𝜃22	𝜃22	NOUN
cana-5933	222	200	)	)	PUNCT
cana-5933	222	201	(	(	PUNCT
cana-5933	222	202	𝜃23	𝜃23	PROPN
cana-5933	222	203	,	,	PUNCT
cana-5933	222	204	1	1	NUM
cana-5933	222	205	−	−	PROPN
cana-5933	222	206	𝜃23	𝜃23	NOUN
cana-5933	222	207	)	)	PUNCT
cana-5933	222	208	(	(	PUNCT
cana-5933	222	209	𝜃31	𝜃31	PROPN
cana-5933	222	210	,	,	PUNCT
cana-5933	222	211	1	1	NUM
cana-5933	222	212	−	−	NOUN
cana-5933	222	213	𝜃31	𝜃31	NUM
cana-5933	222	214	)	)	PUNCT
cana-5933	222	215	(	(	PUNCT
cana-5933	222	216	𝜃32	𝜃32	PROPN
cana-5933	222	217	,	,	PUNCT
cana-5933	222	218	1	1	NUM
cana-5933	222	219	−	−	NOUN
cana-5933	222	220	𝜃32	𝜃32	PROPN
cana-5933	222	221	)	)	PUNCT
cana-5933	222	222	(	(	PUNCT
cana-5933	222	223	𝜃33	𝜃33	NOUN
cana-5933	222	224	,	,	PUNCT
cana-5933	222	225	1	1	NUM
cana-5933	222	226	−	−	NOUN
cana-5933	222	227	𝜃33	𝜃33	NOUN
cana-5933	222	228	)	)	PUNCT
cana-5933	222	229	)	)	PUNCT
cana-5933	222	230	is	be	AUX
cana-5933	222	231	also	also	ADV
cana-5933	222	232	a	a	DET
cana-5933	222	233	intuitionistic	intuitionistic	ADJ
cana-5933	222	234	fuzzy	fuzzy	ADJ
cana-5933	222	235	matrices	matrix	NOUN
cana-5933	222	236	then	then	ADV
cana-5933	222	237	applying	apply	VERB
cana-5933	222	238	formula	formula	NOUN
cana-5933	222	239	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	222	240	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	222	241	∩	∩	ADJ
cana-5933	222	242	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	222	243	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	222	244	=	=	X
cana-5933	222	245	{	{	PUNCT
cana-5933	222	246	〈	〈	PROPN
cana-5933	222	247	x	x	PROPN
cana-5933	222	248	,	,	PUNCT
cana-5933	222	249	y	y	PROPN
cana-5933	222	250	〉	〉	NOUN
cana-5933	222	251	,	,	PUNCT
cana-5933	222	252	min	min	PROPN
cana-5933	222	253	(	(	PUNCT
cana-5933	222	254	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	222	255	(	(	PUNCT
cana-5933	222	256	x	x	NOUN
cana-5933	222	257	)	)	PUNCT
cana-5933	222	258	∙	∙	PROPN
cana-5933	222	259	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	222	260	(	(	PUNCT
cana-5933	222	261	y	y	NOUN
cana-5933	222	262	)	)	PUNCT
cana-5933	222	263	,	,	PUNCT
cana-5933	222	264	max	max	PROPN
cana-5933	222	265	(	(	PUNCT
cana-5933	222	266	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	222	267	̅̅	̅̅	NOUN
cana-5933	222	268	̅(x	̅(x	NOUN
cana-5933	222	269	)	)	PUNCT
cana-5933	223	1	∙	∙	PROPN
cana-5933	223	2	𝜗𝐵	𝜗𝐵	NOUN
cana-5933	223	3	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	223	4	(	(	PUNCT
cana-5933	223	5	y	y	NOUN
cana-5933	223	6	)	)	PUNCT
cana-5933	223	7	):	):	PUNCT
cana-5933	223	8	xe	xe	PROPN
cana-5933	223	9	,	,	PUNCT
cana-5933	223	10	y𝐹	y𝐹	PROPN
cana-5933	223	11	}	}	PUNCT
cana-5933	223	12	,	,	PUNCT
cana-5933	223	13	we	we	PRON
cana-5933	223	14	have	have	VERB
cana-5933	223	15			PROPN
cana-5933	223	16	�	�	NOUN
cana-5933	223	17	̅	̅	NOUN
cana-5933	223	18	�	�	NOUN
cana-5933	223	19	𝐸	𝐸	PROPN
cana-5933	223	20			PUNCT
cana-5933	223	21			PROPN
cana-5933	223	22	�	�	NOUN
cana-5933	223	23	̅	̅	NOUN
cana-5933	223	24	�	�	NOUN
cana-5933	223	25	𝐹	𝐹	NOUN
cana-5933	223	26	=	=	PUNCT
cana-5933	223	27	(	(	PUNCT
cana-5933	223	28	(	(	PUNCT
cana-5933	223	29	𝜋11	𝜋11	NOUN
cana-5933	223	30	,	,	PUNCT
cana-5933	223	31	1	1	NUM
cana-5933	223	32	−	−	NOUN
cana-5933	223	33	𝜋11	𝜋11	NOUN
cana-5933	223	34	)	)	PUNCT
cana-5933	223	35	(	(	PUNCT
cana-5933	223	36	𝜋12	𝜋12	NOUN
cana-5933	223	37	,	,	PUNCT
cana-5933	223	38	1	1	NUM
cana-5933	223	39	−	−	NOUN
cana-5933	223	40	𝜋12	𝜋12	NOUN
cana-5933	223	41	)	)	PUNCT
cana-5933	223	42	(	(	PUNCT
cana-5933	223	43	𝜋13	𝜋13	ADJ
cana-5933	223	44	,	,	PUNCT
cana-5933	223	45	1	1	NUM
cana-5933	223	46	−	−	NOUN
cana-5933	223	47	𝜋13	𝜋13	NOUN
cana-5933	223	48	)	)	PUNCT
cana-5933	223	49	(	(	PUNCT
cana-5933	223	50	𝜋21	𝜋21	VERB
cana-5933	223	51	,	,	PUNCT
cana-5933	223	52	1	1	NUM
cana-5933	223	53	−	−	NOUN
cana-5933	223	54	𝜋21	𝜋21	PROPN
cana-5933	223	55	)	)	PUNCT
cana-5933	223	56	(	(	PUNCT
cana-5933	223	57	𝜋22	𝜋22	NOUN
cana-5933	223	58	,	,	PUNCT
cana-5933	223	59	1	1	NUM
cana-5933	223	60	−	−	NOUN
cana-5933	223	61	𝜋22	𝜋22	NOUN
cana-5933	223	62	)	)	PUNCT
cana-5933	223	63	(	(	PUNCT
cana-5933	223	64	𝜋23	𝜋23	ADJ
cana-5933	223	65	,	,	PUNCT
cana-5933	223	66	1	1	NUM
cana-5933	223	67	−	−	NOUN
cana-5933	223	68	𝜋23	𝜋23	ADJ
cana-5933	223	69	)	)	PUNCT
cana-5933	223	70	(	(	PUNCT
cana-5933	223	71	𝜋31	𝜋31	PROPN
cana-5933	223	72	,	,	PUNCT
cana-5933	223	73	1	1	NUM
cana-5933	223	74	−	−	NOUN
cana-5933	223	75	𝜋31	𝜋31	NOUN
cana-5933	223	76	)	)	PUNCT
cana-5933	223	77	(	(	PUNCT
cana-5933	223	78	𝜋32	𝜋32	NOUN
cana-5933	223	79	,	,	PUNCT
cana-5933	223	80	1	1	NUM
cana-5933	223	81	−	−	NOUN
cana-5933	223	82	𝜋32	𝜋32	NOUN
cana-5933	223	83	)	)	PUNCT
cana-5933	223	84	(	(	PUNCT
cana-5933	223	85	𝜋33	𝜋33	NOUN
cana-5933	223	86	,	,	PUNCT
cana-5933	223	87	1	1	NUM
cana-5933	223	88	−	−	NOUN
cana-5933	223	89	𝜋33	𝜋33	NOUN
cana-5933	223	90	)	)	PUNCT
cana-5933	223	91	)	)	PUNCT
cana-5933	223	92	∩	∩	NOUN
cana-5933	223	93	(	(	PUNCT
cana-5933	223	94	(	(	PUNCT
cana-5933	223	95	𝜃11	𝜃11	ADJ
cana-5933	223	96	,	,	PUNCT
cana-5933	223	97	1	1	NUM
cana-5933	223	98	−	−	NOUN
cana-5933	223	99	𝜃11	𝜃11	NOUN
cana-5933	223	100	)	)	PUNCT
cana-5933	223	101	(	(	PUNCT
cana-5933	223	102	𝜃12	𝜃12	ADJ
cana-5933	223	103	,	,	PUNCT
cana-5933	223	104	1	1	NUM
cana-5933	223	105	−	−	NOUN
cana-5933	223	106	𝜃12	𝜃12	NUM
cana-5933	223	107	)	)	PUNCT
cana-5933	223	108	(	(	PUNCT
cana-5933	223	109	𝜃13	𝜃13	PROPN
cana-5933	223	110	,	,	PUNCT
cana-5933	223	111	1	1	NUM
cana-5933	223	112	−	−	NOUN
cana-5933	223	113	𝜃13	𝜃13	NOUN
cana-5933	223	114	)	)	PUNCT
cana-5933	223	115	(	(	PUNCT
cana-5933	223	116	𝜃21	𝜃21	NOUN
cana-5933	223	117	,	,	PUNCT
cana-5933	223	118	1	1	NUM
cana-5933	223	119	−	−	NOUN
cana-5933	223	120	𝜃21	𝜃21	NOUN
cana-5933	223	121	)	)	PUNCT
cana-5933	223	122	(	(	PUNCT
cana-5933	223	123	𝜃22	𝜃22	ADV
cana-5933	223	124	,	,	PUNCT
cana-5933	223	125	1	1	NUM
cana-5933	223	126	−	−	PROPN
cana-5933	223	127	𝜃22	𝜃22	NOUN
cana-5933	223	128	)	)	PUNCT
cana-5933	223	129	(	(	PUNCT
cana-5933	223	130	𝜃23	𝜃23	PROPN
cana-5933	223	131	,	,	PUNCT
cana-5933	223	132	1	1	NUM
cana-5933	223	133	−	−	PROPN
cana-5933	223	134	𝜃23	𝜃23	NOUN
cana-5933	223	135	)	)	PUNCT
cana-5933	223	136	(	(	PUNCT
cana-5933	223	137	𝜃31	𝜃31	PROPN
cana-5933	223	138	,	,	PUNCT
cana-5933	223	139	1	1	NUM
cana-5933	223	140	−	−	NOUN
cana-5933	223	141	𝜃31	𝜃31	NUM
cana-5933	223	142	)	)	PUNCT
cana-5933	223	143	(	(	PUNCT
cana-5933	223	144	𝜃32	𝜃32	PROPN
cana-5933	223	145	,	,	PUNCT
cana-5933	223	146	1	1	NUM
cana-5933	223	147	−	−	NOUN
cana-5933	223	148	𝜃32	𝜃32	PROPN
cana-5933	223	149	)	)	PUNCT
cana-5933	223	150	(	(	PUNCT
cana-5933	223	151	𝜃33	𝜃33	NOUN
cana-5933	223	152	,	,	PUNCT
cana-5933	223	153	1	1	NUM
cana-5933	223	154	−	−	NOUN
cana-5933	223	155	𝜃33	𝜃33	NOUN
cana-5933	223	156	)	)	PUNCT
cana-5933	223	157	)	)	PUNCT
cana-5933	224	1	where	where	SCONJ
cana-5933	224	2	,	,	PUNCT
cana-5933	224	3	𝑋11	𝑋11	PROPN
cana-5933	224	4	=(	=(	NOUN
cana-5933	224	5	(	(	PUNCT
cana-5933	224	6	𝜋11	𝜋11	NOUN
cana-5933	224	7	,	,	PUNCT
cana-5933	224	8	1	1	NUM
cana-5933	224	9	−	−	NOUN
cana-5933	224	10	𝜋11	𝜋11	NOUN
cana-5933	224	11	)	)	PUNCT
cana-5933	224	12	∩	∩	NOUN
cana-5933	224	13	(	(	PUNCT
cana-5933	224	14	𝜃11	𝜃11	ADJ
cana-5933	224	15	,	,	PUNCT
cana-5933	224	16	1	1	NUM
cana-5933	224	17	−	−	NOUN
cana-5933	224	18	𝜃11	𝜃11	NOUN
cana-5933	224	19	)	)	PUNCT
cana-5933	224	20	)	)	PUNCT
cana-5933	224	21	,	,	PUNCT
cana-5933	224	22	𝑋12=((𝜋12	𝑋12=((𝜋12	VERB
cana-5933	224	23	,	,	PUNCT
cana-5933	224	24	1	1	NUM
cana-5933	224	25	−	−	NOUN
cana-5933	224	26	𝜋12	𝜋12	NOUN
cana-5933	224	27	)	)	PUNCT
cana-5933	224	28	∩	∩	NOUN
cana-5933	224	29	(	(	PUNCT
cana-5933	224	30	𝜃21	𝜃21	NOUN
cana-5933	224	31	,	,	PUNCT
cana-5933	224	32	1	1	NUM
cana-5933	224	33	−	−	NOUN
cana-5933	224	34	𝜃21	𝜃21	NOUN
cana-5933	224	35	)	)	PUNCT
cana-5933	224	36	)	)	PUNCT
cana-5933	224	37	𝑋13=((𝜋13	𝑋13=((𝜋13	PROPN
cana-5933	224	38	,	,	PUNCT
cana-5933	224	39	1	1	NUM
cana-5933	224	40	−	−	NOUN
cana-5933	224	41	𝜋13	𝜋13	ADJ
cana-5933	224	42	)	)	PUNCT
cana-5933	224	43	∩	∩	NOUN
cana-5933	224	44	(	(	PUNCT
cana-5933	224	45	𝜃31	𝜃31	PROPN
cana-5933	224	46	,	,	PUNCT
cana-5933	224	47	1	1	NUM
cana-5933	224	48	−	−	NOUN
cana-5933	224	49	𝜃31	𝜃31	NUM
cana-5933	224	50	)	)	PUNCT
cana-5933	224	51	)	)	PUNCT
cana-5933	224	52	,	,	PUNCT
cana-5933	224	53	𝑋21=((𝜋21	𝑋21=((𝜋21	PROPN
cana-5933	224	54	,	,	PUNCT
cana-5933	224	55	1	1	NUM
cana-5933	224	56	−	−	NOUN
cana-5933	224	57	𝜋21	𝜋21	VERB
cana-5933	224	58	)	)	PUNCT
cana-5933	224	59	∩	∩	NOUN
cana-5933	224	60	(	(	PUNCT
cana-5933	224	61	𝜃12	𝜃12	ADJ
cana-5933	224	62	,	,	PUNCT
cana-5933	224	63	1	1	NUM
cana-5933	224	64	−	−	NOUN
cana-5933	224	65	𝜃12	𝜃12	NUM
cana-5933	224	66	)	)	PUNCT
cana-5933	224	67	)	)	PUNCT
cana-5933	225	1	𝑋22=((𝜋22	𝑋22=((𝜋22	PROPN
cana-5933	225	2	,	,	PUNCT
cana-5933	225	3	1	1	NUM
cana-5933	225	4	−	−	NOUN
cana-5933	225	5	𝜋22	𝜋22	NOUN
cana-5933	225	6	)	)	PUNCT
cana-5933	225	7	∩	∩	NOUN
cana-5933	225	8	(	(	PUNCT
cana-5933	225	9	𝜃22	𝜃22	ADJ
cana-5933	225	10	,	,	PUNCT
cana-5933	225	11	1	1	NUM
cana-5933	225	12	−	−	NOUN
cana-5933	225	13	𝜃22	𝜃22	NOUN
cana-5933	225	14	)	)	PUNCT
cana-5933	225	15	)	)	PUNCT
cana-5933	225	16	,	,	PUNCT
cana-5933	225	17	𝑋23=((𝜋23	𝑋23=((𝜋23	PROPN
cana-5933	225	18	,	,	PUNCT
cana-5933	225	19	1	1	NUM
cana-5933	225	20	−	−	NOUN
cana-5933	225	21	𝜋23	𝜋23	ADJ
cana-5933	225	22	)	)	PUNCT
cana-5933	225	23	∩	∩	NOUN
cana-5933	225	24	(	(	PUNCT
cana-5933	225	25	𝜃32	𝜃32	ADJ
cana-5933	225	26	,	,	PUNCT
cana-5933	225	27	1	1	NUM
cana-5933	225	28	−	−	NOUN
cana-5933	225	29	𝜃32	𝜃32	NOUN
cana-5933	225	30	)	)	PUNCT
cana-5933	225	31	)	)	PUNCT
cana-5933	225	32	𝑋31=	𝑋31=	ADP
cana-5933	225	33	(	(	PUNCT
cana-5933	225	34	(	(	PUNCT
cana-5933	225	35	𝜋31	𝜋31	PROPN
cana-5933	225	36	,	,	PUNCT
cana-5933	225	37	1	1	NUM
cana-5933	225	38	−	−	NOUN
cana-5933	225	39	𝜋31	𝜋31	NOUN
cana-5933	225	40	)	)	PUNCT
cana-5933	225	41	∩	∩	NOUN
cana-5933	225	42	(	(	PUNCT
cana-5933	225	43	𝜃13	𝜃13	PROPN
cana-5933	225	44	,	,	PUNCT
cana-5933	225	45	1	1	NUM
cana-5933	225	46	−	−	NOUN
cana-5933	225	47	𝜃13	𝜃13	NOUN
cana-5933	225	48	)	)	PUNCT
cana-5933	225	49	)	)	PUNCT
cana-5933	225	50	,	,	PUNCT
cana-5933	225	51	𝑋32=((𝜋32	𝑋32=((𝜋32	PROPN
cana-5933	225	52	,	,	PUNCT
cana-5933	225	53	1	1	NUM
cana-5933	225	54	−	−	NOUN
cana-5933	225	55	𝜋32	𝜋32	NOUN
cana-5933	225	56	)	)	PUNCT
cana-5933	225	57	∩	∩	NOUN
cana-5933	225	58	(	(	PUNCT
cana-5933	225	59	𝜃23	𝜃23	PROPN
cana-5933	225	60	,	,	PUNCT
cana-5933	225	61	1	1	NUM
cana-5933	225	62	−	−	PROPN
cana-5933	225	63	𝜃23	𝜃23	NOUN
cana-5933	225	64	)	)	PUNCT
cana-5933	225	65	)	)	PUNCT
cana-5933	226	1	𝑋33=((𝜋33	𝑋33=((𝜋33	PROPN
cana-5933	226	2	,	,	PUNCT
cana-5933	226	3	1	1	NUM
cana-5933	226	4	−	−	NOUN
cana-5933	226	5	𝜋33	𝜋33	NOUN
cana-5933	226	6	)	)	PUNCT
cana-5933	226	7	∩	∩	NOUN
cana-5933	226	8	(	(	PUNCT
cana-5933	226	9	𝜃33	𝜃33	NOUN
cana-5933	226	10	,	,	PUNCT
cana-5933	226	11	1	1	NUM
cana-5933	226	12	−	−	NOUN
cana-5933	226	13	𝜃33	𝜃33	NOUN
cana-5933	226	14	)	)	PUNCT
cana-5933	226	15	)	)	PUNCT
cana-5933	226	16	communications	communication	NOUN
cana-5933	226	17	on	on	ADP
cana-5933	226	18	applied	apply	VERB
cana-5933	226	19	nonlinear	nonlinear	ADJ
cana-5933	226	20	analysis	analysis	NOUN
cana-5933	226	21	issn	issn	NOUN
cana-5933	226	22	:	:	PUNCT
cana-5933	226	23	1074	1074	NUM
cana-5933	226	24	-	-	PUNCT
cana-5933	226	25	133x	133x	NUM
cana-5933	226	26	vol	vol	VERB
cana-5933	226	27	32	32	NUM
cana-5933	226	28	no	no	NOUN
cana-5933	226	29	.	.	PUNCT
cana-5933	227	1	10s	10	NOUN
cana-5933	227	2	(	(	PUNCT
cana-5933	227	3	2025	2025	NUM
cana-5933	227	4	)	)	PUNCT
cana-5933	227	5	3144	3144	NUM
cana-5933	227	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	227	7	now	now	ADV
cana-5933	227	8	applying	apply	VERB
cana-5933	227	9	formula	formula	NOUN
cana-5933	227	10	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	227	11	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	227	12	∩	∩	ADJ
cana-5933	227	13	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	227	14	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	227	15	=	=	X
cana-5933	227	16	{	{	PUNCT
cana-5933	227	17	〈	〈	PROPN
cana-5933	227	18	x	x	PROPN
cana-5933	227	19	,	,	PUNCT
cana-5933	227	20	y	y	PROPN
cana-5933	227	21	〉	〉	NOUN
cana-5933	227	22	,	,	PUNCT
cana-5933	227	23	min	min	PROPN
cana-5933	227	24	(	(	PUNCT
cana-5933	227	25	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	227	26	(	(	PUNCT
cana-5933	227	27	x	x	NOUN
cana-5933	227	28	)	)	PUNCT
cana-5933	227	29	∙	∙	PROPN
cana-5933	227	30	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	227	31	(	(	PUNCT
cana-5933	227	32	y	y	NOUN
cana-5933	227	33	)	)	PUNCT
cana-5933	227	34	,	,	PUNCT
cana-5933	227	35	max	max	PROPN
cana-5933	227	36	(	(	PUNCT
cana-5933	227	37	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	227	38	̅̅	̅̅	NOUN
cana-5933	227	39	̅(x	̅(x	NOUN
cana-5933	227	40	)	)	PUNCT
cana-5933	228	1	∙	∙	PROPN
cana-5933	228	2	𝜗𝐵	𝜗𝐵	NOUN
cana-5933	228	3	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	228	4	(	(	PUNCT
cana-5933	228	5	y	y	NOUN
cana-5933	228	6	)	)	PUNCT
cana-5933	228	7	):	):	PUNCT
cana-5933	228	8	xe	xe	PROPN
cana-5933	228	9	,	,	PUNCT
cana-5933	228	10	y𝐹	y𝐹	PROPN
cana-5933	228	11	}	}	PUNCT
cana-5933	228	12	𝑋11=	𝑋11=	NOUN
cana-5933	228	13	{	{	PUNCT
cana-5933	228	14	min	min	PROPN
cana-5933	228	15	(	(	PUNCT
cana-5933	228	16	𝜋11(x	𝜋11(x	NOUN
cana-5933	228	17	)	)	PUNCT
cana-5933	228	18	,	,	PUNCT
cana-5933	228	19	𝜃11	𝜃11	NOUN
cana-5933	228	20	(	(	PUNCT
cana-5933	228	21	y	y	NOUN
cana-5933	228	22	)	)	PUNCT
cana-5933	228	23	)	)	PUNCT
cana-5933	228	24	,	,	PUNCT
cana-5933	228	25	max	max	PROPN
cana-5933	228	26	(	(	PUNCT
cana-5933	228	27	1	1	NUM
cana-5933	228	28	−	−	NOUN
cana-5933	228	29	𝜋11	𝜋11	NOUN
cana-5933	228	30	(	(	PUNCT
cana-5933	228	31	x	x	NOUN
cana-5933	228	32	)	)	PUNCT
cana-5933	228	33	,	,	PUNCT
cana-5933	228	34	1	1	NUM
cana-5933	228	35	−	−	NOUN
cana-5933	228	36	𝜃11	𝜃11	NOUN
cana-5933	228	37	(	(	PUNCT
cana-5933	228	38	y	y	NOUN
cana-5933	228	39	)	)	PUNCT
cana-5933	228	40	)	)	PUNCT
cana-5933	228	41	}	}	PUNCT
cana-5933	228	42	𝑋12=	𝑋12=	VERB
cana-5933	228	43	{	{	PUNCT
cana-5933	228	44	min	min	PROPN
cana-5933	228	45	(	(	PUNCT
cana-5933	228	46	𝜋12	𝜋12	NOUN
cana-5933	228	47	(	(	PUNCT
cana-5933	228	48	x	x	NOUN
cana-5933	228	49	)	)	PUNCT
cana-5933	228	50	,	,	PUNCT
cana-5933	228	51	𝜃12	𝜃12	NUM
cana-5933	228	52	(	(	PUNCT
cana-5933	228	53	y	y	NOUN
cana-5933	228	54	)	)	PUNCT
cana-5933	228	55	)	)	PUNCT
cana-5933	228	56	,	,	PUNCT
cana-5933	228	57	max	max	PROPN
cana-5933	228	58	(	(	PUNCT
cana-5933	228	59	1	1	NUM
cana-5933	228	60	−	−	PROPN
cana-5933	228	61	𝜋12	𝜋12	NOUN
cana-5933	228	62	(	(	PUNCT
cana-5933	228	63	x	x	NOUN
cana-5933	228	64	)	)	PUNCT
cana-5933	228	65	,	,	PUNCT
cana-5933	228	66	1	1	NUM
cana-5933	228	67	−	−	NOUN
cana-5933	228	68	𝜃12(y	𝜃12(y	ADJ
cana-5933	228	69	)	)	PUNCT
cana-5933	228	70	)	)	PUNCT
cana-5933	228	71	}	}	PUNCT
cana-5933	228	72	𝑋13=	𝑋13=	PROPN
cana-5933	228	73	{	{	PUNCT
cana-5933	228	74	min	min	PROPN
cana-5933	228	75	(	(	PUNCT
cana-5933	228	76	𝜋13	𝜋13	NOUN
cana-5933	228	77	(	(	PUNCT
cana-5933	228	78	x	x	NOUN
cana-5933	228	79	)	)	PUNCT
cana-5933	228	80	,	,	PUNCT
cana-5933	228	81	𝜃13	𝜃13	PROPN
cana-5933	228	82	(	(	PUNCT
cana-5933	228	83	y	y	NOUN
cana-5933	228	84	)	)	PUNCT
cana-5933	228	85	)	)	PUNCT
cana-5933	228	86	,	,	PUNCT
cana-5933	228	87	max	max	PROPN
cana-5933	228	88	(	(	PUNCT
cana-5933	228	89	1	1	NUM
cana-5933	228	90	−	−	NOUN
cana-5933	228	91	𝜋13	𝜋13	NOUN
cana-5933	228	92	(	(	PUNCT
cana-5933	228	93	x	x	NOUN
cana-5933	228	94	)	)	PUNCT
cana-5933	228	95	,	,	PUNCT
cana-5933	228	96	1	1	NUM
cana-5933	228	97	−	−	NOUN
cana-5933	228	98	𝜃13	𝜃13	NOUN
cana-5933	228	99	(	(	PUNCT
cana-5933	228	100	y	y	NOUN
cana-5933	228	101	)	)	PUNCT
cana-5933	228	102	)	)	PUNCT
cana-5933	228	103	}	}	PUNCT
cana-5933	228	104	𝑋21=	𝑋21=	X
cana-5933	228	105	{	{	PUNCT
cana-5933	228	106	min	min	NOUN
cana-5933	228	107	(	(	PUNCT
cana-5933	228	108	𝜋21	𝜋21	PROPN
cana-5933	228	109	(	(	PUNCT
cana-5933	228	110	x	x	NOUN
cana-5933	228	111	)	)	PUNCT
cana-5933	228	112	,	,	PUNCT
cana-5933	228	113	𝜃21(y	𝜃21(y	PROPN
cana-5933	228	114	)	)	PUNCT
cana-5933	228	115	)	)	PUNCT
cana-5933	228	116	,	,	PUNCT
cana-5933	228	117	max	max	PROPN
cana-5933	228	118	(	(	PUNCT
cana-5933	228	119	1	1	NUM
cana-5933	228	120	−	−	PROPN
cana-5933	228	121	𝜋21	𝜋21	ADJ
cana-5933	228	122	(	(	PUNCT
cana-5933	228	123	x	x	NOUN
cana-5933	228	124	)	)	PUNCT
cana-5933	228	125	,	,	PUNCT
cana-5933	228	126	1	1	NUM
cana-5933	228	127	−	−	NOUN
cana-5933	228	128	𝜃21	𝜃21	NOUN
cana-5933	228	129	(	(	PUNCT
cana-5933	228	130	y	y	NOUN
cana-5933	228	131	)	)	PUNCT
cana-5933	228	132	)	)	PUNCT
cana-5933	228	133	}	}	PUNCT
cana-5933	228	134	𝑋22=	𝑋22=	PROPN
cana-5933	228	135	{	{	PUNCT
cana-5933	228	136	min	min	NOUN
cana-5933	228	137	(	(	PUNCT
cana-5933	228	138	𝜋22	𝜋22	NOUN
cana-5933	228	139	(	(	PUNCT
cana-5933	228	140	x	x	NOUN
cana-5933	228	141	)	)	PUNCT
cana-5933	228	142	,	,	PUNCT
cana-5933	228	143	𝜃22(y	𝜃22(y	ADP
cana-5933	228	144	)	)	PUNCT
cana-5933	228	145	)	)	PUNCT
cana-5933	228	146	,	,	PUNCT
cana-5933	228	147	max	max	PROPN
cana-5933	228	148	(	(	PUNCT
cana-5933	228	149	1	1	NUM
cana-5933	228	150	−	−	PROPN
cana-5933	228	151	𝜋22	𝜋22	NOUN
cana-5933	228	152	(	(	PUNCT
cana-5933	228	153	x	x	NOUN
cana-5933	228	154	)	)	PUNCT
cana-5933	228	155	,	,	PUNCT
cana-5933	228	156	1	1	NUM
cana-5933	228	157	−	−	NOUN
cana-5933	228	158	𝜃22(y	𝜃22(y	NOUN
cana-5933	228	159	)	)	PUNCT
cana-5933	228	160	)	)	PUNCT
cana-5933	228	161	}	}	PUNCT
cana-5933	228	162	𝑋23=	𝑋23=	NOUN
cana-5933	228	163	{	{	PUNCT
cana-5933	228	164	min	min	NOUN
cana-5933	228	165	(	(	PUNCT
cana-5933	228	166	𝜋23	𝜋23	ADJ
cana-5933	228	167	(	(	PUNCT
cana-5933	228	168	x	x	NOUN
cana-5933	228	169	)	)	PUNCT
cana-5933	228	170	,	,	PUNCT
cana-5933	228	171	𝜃23	𝜃23	PROPN
cana-5933	228	172	(	(	PUNCT
cana-5933	228	173	y	y	NOUN
cana-5933	228	174	)	)	PUNCT
cana-5933	228	175	)	)	PUNCT
cana-5933	228	176	,	,	PUNCT
cana-5933	228	177	max	max	PROPN
cana-5933	228	178	(	(	PUNCT
cana-5933	228	179	1	1	NUM
cana-5933	228	180	−	−	NOUN
cana-5933	228	181	𝜋23	𝜋23	ADJ
cana-5933	228	182	(	(	PUNCT
cana-5933	228	183	x	x	NOUN
cana-5933	228	184	)	)	PUNCT
cana-5933	228	185	,	,	PUNCT
cana-5933	228	186	1	1	NUM
cana-5933	228	187	−	−	NOUN
cana-5933	228	188	𝜃23(y	𝜃23(y	NOUN
cana-5933	228	189	)	)	PUNCT
cana-5933	228	190	)	)	PUNCT
cana-5933	228	191	}	}	PUNCT
cana-5933	228	192	𝑋31=	𝑋31=	ADP
cana-5933	228	193	{	{	PUNCT
cana-5933	228	194	min	min	PROPN
cana-5933	228	195	(	(	PUNCT
cana-5933	228	196	𝜋31	𝜋31	PROPN
cana-5933	228	197	(	(	PUNCT
cana-5933	228	198	x	x	X
cana-5933	228	199	)	)	PUNCT
cana-5933	228	200	,	,	PUNCT
cana-5933	228	201	𝜃31	𝜃31	NUM
cana-5933	228	202	(	(	PUNCT
cana-5933	228	203	y	y	NOUN
cana-5933	228	204	)	)	PUNCT
cana-5933	228	205	)	)	PUNCT
cana-5933	228	206	,	,	PUNCT
cana-5933	228	207	max	max	PROPN
cana-5933	228	208	(	(	PUNCT
cana-5933	228	209	1	1	NUM
cana-5933	228	210	−	−	NOUN
cana-5933	228	211	𝜋31	𝜋31	NOUN
cana-5933	228	212	(	(	PUNCT
cana-5933	228	213	x	x	X
cana-5933	228	214	)	)	PUNCT
cana-5933	228	215	,	,	PUNCT
cana-5933	228	216	1	1	NUM
cana-5933	228	217	−	−	NOUN
cana-5933	228	218	𝜃31(y	𝜃31(y	NUM
cana-5933	228	219	)	)	PUNCT
cana-5933	228	220	)	)	PUNCT
cana-5933	228	221	}	}	PUNCT
cana-5933	228	222	𝑋32=	𝑋32=	NOUN
cana-5933	228	223	{	{	PUNCT
cana-5933	228	224	min	min	PROPN
cana-5933	228	225	(	(	PUNCT
cana-5933	228	226	𝜋32	𝜋32	X
cana-5933	228	227	(	(	PUNCT
cana-5933	228	228	x	x	X
cana-5933	228	229	)	)	PUNCT
cana-5933	228	230	,	,	PUNCT
cana-5933	228	231	𝜃32	𝜃32	X
cana-5933	228	232	(	(	PUNCT
cana-5933	228	233	y	y	NOUN
cana-5933	228	234	)	)	PUNCT
cana-5933	228	235	)	)	PUNCT
cana-5933	228	236	,	,	PUNCT
cana-5933	228	237	max	max	PROPN
cana-5933	228	238	(	(	PUNCT
cana-5933	228	239	1	1	NUM
cana-5933	228	240	−	−	NOUN
cana-5933	228	241	𝜋32	𝜋32	NOUN
cana-5933	228	242	(	(	PUNCT
cana-5933	228	243	x	x	X
cana-5933	228	244	)	)	PUNCT
cana-5933	228	245	,	,	PUNCT
cana-5933	228	246	1	1	NUM
cana-5933	228	247	−	−	NOUN
cana-5933	228	248	𝜃32	𝜃32	NOUN
cana-5933	228	249	(	(	PUNCT
cana-5933	228	250	y	y	NOUN
cana-5933	228	251	)	)	PUNCT
cana-5933	228	252	)	)	PUNCT
cana-5933	228	253	}	}	PUNCT
cana-5933	228	254	𝑋33=	𝑋33=	NOUN
cana-5933	228	255	{	{	PUNCT
cana-5933	228	256	min	min	NOUN
cana-5933	228	257	(	(	PUNCT
cana-5933	228	258	𝜋33	𝜋33	NOUN
cana-5933	228	259	(	(	PUNCT
cana-5933	228	260	x	x	NOUN
cana-5933	228	261	)	)	PUNCT
cana-5933	228	262	,	,	PUNCT
cana-5933	228	263	𝜃33	𝜃33	NOUN
cana-5933	228	264	(	(	PUNCT
cana-5933	228	265	y	y	NOUN
cana-5933	228	266	)	)	PUNCT
cana-5933	228	267	)	)	PUNCT
cana-5933	228	268	,	,	PUNCT
cana-5933	228	269	max	max	PROPN
cana-5933	228	270	(	(	PUNCT
cana-5933	228	271	1	1	NUM
cana-5933	228	272	−	−	NOUN
cana-5933	228	273	𝜋33	𝜋33	NOUN
cana-5933	228	274	(	(	PUNCT
cana-5933	228	275	x	x	NOUN
cana-5933	228	276	)	)	PUNCT
cana-5933	228	277	,	,	PUNCT
cana-5933	228	278	1	1	NUM
cana-5933	228	279	−	−	NOUN
cana-5933	228	280	𝜃33	𝜃33	NOUN
cana-5933	228	281	(	(	PUNCT
cana-5933	228	282	y	y	NOUN
cana-5933	228	283	)	)	PUNCT
cana-5933	228	284	)	)	PUNCT
cana-5933	228	285	}	}	PUNCT
cana-5933	228	286	we	we	PRON
cana-5933	228	287	have	have	VERB
cana-5933	228	288	,	,	PUNCT
cana-5933	228	289	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	228	290	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	228	291	∩	∩	NOUN
cana-5933	228	292	𝐵𝐹	𝐵𝐹	NUM
cana-5933	228	293	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	228	294	=	=	X
cana-5933	229	1	(	(	PUNCT
cana-5933	229	2	𝑋11	𝑋11	PROPN
cana-5933	229	3	𝑋12	𝑋12	PROPN
cana-5933	229	4	𝑋13	𝑋13	PROPN
cana-5933	229	5	𝑋21	𝑋21	PROPN
cana-5933	229	6	𝑋22	𝑋22	VERB
cana-5933	229	7	𝑋23	𝑋23	PROPN
cana-5933	229	8	𝑋31	𝑋31	PROPN
cana-5933	229	9	𝑋32	𝑋32	PROPN
cana-5933	229	10	𝑋33	𝑋33	PROPN
cana-5933	229	11	)	)	PUNCT
cana-5933	229	12	is	be	AUX
cana-5933	229	13	also	also	ADV
cana-5933	229	14	intuitionistic	intuitionistic	ADJ
cana-5933	229	15	fuzzy	fuzzy	ADJ
cana-5933	229	16	matrix	matrix	NOUN
cana-5933	229	17	set	set	NOUN
cana-5933	229	18	.	.	PUNCT
cana-5933	230	1	theorem	theorem	VERB
cana-5933	230	2	6.7.2	6.7.2	NOUN
cana-5933	230	3	:	:	PUNCT
cana-5933	230	4	if	if	SCONJ
cana-5933	230	5	e	e	PROPN
cana-5933	230	6	and	and	CCONJ
cana-5933	230	7	f	f	PROPN
cana-5933	230	8	be	be	AUX
cana-5933	230	9	two	two	NUM
cana-5933	230	10	universal	universal	ADJ
cana-5933	230	11	sets	set	NOUN
cana-5933	230	12	.	.	PUNCT
cana-5933	231	1	for	for	ADP
cana-5933	231	2	every	every	DET
cana-5933	231	3	necessity	necessity	NOUN
cana-5933	231	4	function	function	NOUN
cana-5933	231	5	of	of	ADP
cana-5933	231	6	intuitionistic	intuitionistic	ADJ
cana-5933	231	7	fuzzy	fuzzy	ADJ
cana-5933	231	8	matrix	matrix	NOUN
cana-5933	231	9	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	231	10	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	231	11	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-5933	231	12	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	231	13	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	231	14	are	be	AUX
cana-5933	231	15	intuitionistic	intuitionistic	ADJ
cana-5933	231	16	fuzzy	fuzzy	ADJ
cana-5933	231	17	matrix	matrix	NOUN
cana-5933	231	18	in	in	ADP
cana-5933	231	19	e	e	PROPN
cana-5933	231	20	and	and	CCONJ
cana-5933	231	21	f	f	PROPN
cana-5933	231	22	then	then	ADV
cana-5933	231	23			PROPN
cana-5933	231	24	�	�	PROPN
cana-5933	231	25	̅	̅	NOUN
cana-5933	231	26	�	�	NOUN
cana-5933	231	27	𝐸	𝐸	PROPN
cana-5933	231	28	∪	∪	ADJ
cana-5933	231	29			PROPN
cana-5933	231	30	�	�	NOUN
cana-5933	231	31	̅	̅	NOUN
cana-5933	231	32	�	�	NOUN
cana-5933	231	33	𝐹	𝐹	PROPN
cana-5933	231	34	is	be	AUX
cana-5933	231	35	also	also	ADV
cana-5933	231	36	necessity	necessity	NOUN
cana-5933	231	37	function	function	NOUN
cana-5933	231	38	of	of	ADP
cana-5933	231	39	intuitionistic	intuitionistic	ADJ
cana-5933	231	40	fuzzy	fuzzy	ADJ
cana-5933	231	41	matrix	matrix	NOUN
cana-5933	231	42	.	.	PUNCT
cana-5933	232	1	proof	proof	NOUN
cana-5933	232	2	:	:	PUNCT
cana-5933	232	3	if	if	SCONJ
cana-5933	232	4	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	232	5	and	and	CCONJ
cana-5933	232	6	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	232	7	are	be	AUX
cana-5933	232	8	two	two	NUM
cana-5933	232	9	intuitionistic	intuitionistic	ADJ
cana-5933	232	10	fuzzy	fuzzy	ADJ
cana-5933	232	11	matrices	matrix	NOUN
cana-5933	232	12	sets	set	NOUN
cana-5933	232	13	over	over	ADP
cana-5933	232	14	different	different	ADJ
cana-5933	232	15	universes	universe	NOUN
cana-5933	232	16	e	e	PROPN
cana-5933	232	17	&	&	CCONJ
cana-5933	232	18	f	f	PROPN
cana-5933	232	19	and	and	CCONJ
cana-5933	232	20	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	232	21	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	232	22	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5933	232	23	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	232	24	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	232	25	are	be	AUX
cana-5933	232	26	also	also	ADV
cana-5933	232	27	intuitionistic	intuitionistic	ADJ
cana-5933	232	28	fuzzy	fuzzy	ADJ
cana-5933	232	29	matrices	matrix	NOUN
cana-5933	232	30	sets	set	NOUN
cana-5933	232	31	over	over	ADP
cana-5933	232	32	different	different	ADJ
cana-5933	232	33	universes	universe	NOUN
cana-5933	232	34	e	e	NOUN
cana-5933	232	35	and	and	CCONJ
cana-5933	232	36	f.	f.	PROPN
cana-5933	232	37	if	if	SCONJ
cana-5933	232	38	we	we	PRON
cana-5933	232	39	consider	consider	VERB
cana-5933	232	40	to	to	ADP
cana-5933	232	41	3×	3×	NUM
cana-5933	232	42	3	3	NUM
cana-5933	232	43	matrix	matrix	NOUN
cana-5933	232	44	.	.	PUNCT
cana-5933	233	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	233	2	=	=	SYM
cana-5933	233	3	(	(	PUNCT
cana-5933	233	4	(	(	PUNCT
cana-5933	233	5	𝜇11	𝜇11	ADJ
cana-5933	233	6	,	,	PUNCT
cana-5933	233	7	𝜋11	𝜋11	NOUN
cana-5933	233	8	)	)	PUNCT
cana-5933	233	9	(	(	PUNCT
cana-5933	233	10	𝜇12	𝜇12	NOUN
cana-5933	233	11	,	,	PUNCT
cana-5933	233	12	𝜋12	𝜋12	NOUN
cana-5933	233	13	)	)	PUNCT
cana-5933	233	14	(	(	PUNCT
cana-5933	233	15	𝜇13	𝜇13	NOUN
cana-5933	233	16	,	,	PUNCT
cana-5933	233	17	𝜋13	𝜋13	NOUN
cana-5933	233	18	)	)	PUNCT
cana-5933	233	19	(	(	PUNCT
cana-5933	233	20	𝜇21	𝜇21	NOUN
cana-5933	233	21	,	,	PUNCT
cana-5933	233	22	𝜋21	𝜋21	NOUN
cana-5933	233	23	)	)	PUNCT
cana-5933	233	24	(	(	PUNCT
cana-5933	233	25	𝜇22	𝜇22	NOUN
cana-5933	233	26	,	,	PUNCT
cana-5933	233	27	𝜋22	𝜋22	NOUN
cana-5933	233	28	)	)	PUNCT
cana-5933	233	29	(	(	PUNCT
cana-5933	233	30	𝜇23	𝜇23	PROPN
cana-5933	233	31	,	,	PUNCT
cana-5933	233	32	𝜋23	𝜋23	ADJ
cana-5933	233	33	)	)	PUNCT
cana-5933	233	34	(	(	PUNCT
cana-5933	233	35	𝜇31	𝜇31	PROPN
cana-5933	233	36	,	,	PUNCT
cana-5933	233	37	𝜋31	𝜋31	PROPN
cana-5933	233	38	)	)	PUNCT
cana-5933	233	39	(	(	PUNCT
cana-5933	233	40	𝜇32	𝜇32	NOUN
cana-5933	233	41	,	,	PUNCT
cana-5933	233	42	𝜋32	𝜋32	NOUN
cana-5933	233	43	)	)	PUNCT
cana-5933	233	44	(	(	PUNCT
cana-5933	233	45	𝜇33	𝜇33	NOUN
cana-5933	233	46	,	,	PUNCT
cana-5933	233	47	𝜋33	𝜋33	NOUN
cana-5933	233	48	)	)	PUNCT
cana-5933	233	49	)	)	PUNCT
cana-5933	233	50	and	and	CCONJ
cana-5933	233	51	𝐵𝐹=	𝐵𝐹=	NOUN
cana-5933	233	52	(	(	PUNCT
cana-5933	233	53	(	(	PUNCT
cana-5933	233	54	𝜗11	𝜗11	NOUN
cana-5933	233	55	,	,	PUNCT
cana-5933	233	56	𝜃11	𝜃11	NOUN
cana-5933	233	57	)	)	PUNCT
cana-5933	233	58	(	(	PUNCT
cana-5933	233	59	𝜗12	𝜗12	PROPN
cana-5933	233	60	,	,	PUNCT
cana-5933	233	61	𝜃12	𝜃12	NUM
cana-5933	233	62	)	)	PUNCT
cana-5933	233	63	(	(	PUNCT
cana-5933	233	64	𝜗13	𝜗13	PROPN
cana-5933	233	65	,	,	PUNCT
cana-5933	233	66	𝜃13	𝜃13	PROPN
cana-5933	233	67	)	)	PUNCT
cana-5933	233	68	(	(	PUNCT
cana-5933	233	69	𝜗21	𝜗21	NOUN
cana-5933	233	70	,	,	PUNCT
cana-5933	233	71	𝜃21	𝜃21	NOUN
cana-5933	233	72	)	)	PUNCT
cana-5933	233	73	(	(	PUNCT
cana-5933	233	74	𝜗22	𝜗22	PROPN
cana-5933	233	75	,	,	PUNCT
cana-5933	233	76	𝜃22	𝜃22	NOUN
cana-5933	233	77	)	)	PUNCT
cana-5933	233	78	(	(	PUNCT
cana-5933	233	79	𝜗23	𝜗23	PROPN
cana-5933	233	80	,	,	PUNCT
cana-5933	233	81	𝜃23	𝜃23	PROPN
cana-5933	233	82	)	)	PUNCT
cana-5933	233	83	(	(	PUNCT
cana-5933	233	84	𝜗31	𝜗31	NUM
cana-5933	233	85	,	,	PUNCT
cana-5933	233	86	𝜃31	𝜃31	NUM
cana-5933	233	87	)	)	PUNCT
cana-5933	233	88	(	(	PUNCT
cana-5933	233	89	𝜗32	𝜗32	PROPN
cana-5933	233	90	,	,	PUNCT
cana-5933	233	91	𝜃32	𝜃32	PROPN
cana-5933	233	92	)	)	PUNCT
cana-5933	233	93	(	(	PUNCT
cana-5933	233	94	𝜗33	𝜗33	NOUN
cana-5933	233	95	,	,	PUNCT
cana-5933	233	96	𝜃33	𝜃33	NUM
cana-5933	233	97	)	)	PUNCT
cana-5933	233	98	)	)	PUNCT
cana-5933	234	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	234	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	234	3	=	=	X
cana-5933	234	4	(	(	PUNCT
cana-5933	234	5	(	(	PUNCT
cana-5933	234	6	𝜋11	𝜋11	NOUN
cana-5933	234	7	,	,	PUNCT
cana-5933	234	8	𝜇11	𝜇11	NOUN
cana-5933	234	9	)	)	PUNCT
cana-5933	234	10	(	(	PUNCT
cana-5933	234	11	𝜋12	𝜋12	NOUN
cana-5933	234	12	,	,	PUNCT
cana-5933	234	13	𝜇12	𝜇12	NOUN
cana-5933	234	14	)	)	PUNCT
cana-5933	234	15	(	(	PUNCT
cana-5933	234	16	𝜋13	𝜋13	PROPN
cana-5933	234	17	,	,	PUNCT
cana-5933	234	18	𝜇13	𝜇13	NOUN
cana-5933	234	19	)	)	PUNCT
cana-5933	234	20	(	(	PUNCT
cana-5933	234	21	𝜋21	𝜋21	ADJ
cana-5933	234	22	,	,	PUNCT
cana-5933	234	23	𝜇21	𝜇21	NOUN
cana-5933	234	24	)	)	PUNCT
cana-5933	234	25	(	(	PUNCT
cana-5933	234	26	𝜋22	𝜋22	NOUN
cana-5933	234	27	,	,	PUNCT
cana-5933	234	28	𝜇22	𝜇22	PROPN
cana-5933	234	29	)	)	PUNCT
cana-5933	234	30	(	(	PUNCT
cana-5933	234	31	𝜋23	𝜋23	ADJ
cana-5933	234	32	,	,	PUNCT
cana-5933	234	33	𝜇23	𝜇23	NOUN
cana-5933	234	34	)	)	PUNCT
cana-5933	234	35	(	(	PUNCT
cana-5933	234	36	𝜋31	𝜋31	PROPN
cana-5933	234	37	,	,	PUNCT
cana-5933	234	38	𝜇31	𝜇31	NOUN
cana-5933	234	39	)	)	PUNCT
cana-5933	234	40	(	(	PUNCT
cana-5933	234	41	𝜋32	𝜋32	NOUN
cana-5933	234	42	,	,	PUNCT
cana-5933	234	43	𝜇32	𝜇32	NOUN
cana-5933	234	44	)	)	PUNCT
cana-5933	234	45	(	(	PUNCT
cana-5933	234	46	𝜋33	𝜋33	PROPN
cana-5933	234	47	,	,	PUNCT
cana-5933	234	48	𝜇33	𝜇33	NOUN
cana-5933	234	49	)	)	PUNCT
cana-5933	234	50	)	)	PUNCT
cana-5933	234	51	and	and	CCONJ
cana-5933	234	52	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	234	53	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	234	54	=	=	PUNCT
cana-5933	234	55	(	(	PUNCT
cana-5933	234	56	(	(	PUNCT
cana-5933	234	57	𝜃11	𝜃11	ADJ
cana-5933	234	58	,	,	PUNCT
cana-5933	234	59	𝜗11	𝜗11	NOUN
cana-5933	234	60	)	)	PUNCT
cana-5933	234	61	(	(	PUNCT
cana-5933	234	62	𝜃12	𝜃12	ADJ
cana-5933	234	63	,	,	PUNCT
cana-5933	234	64	𝜗12	𝜗12	PROPN
cana-5933	234	65	)	)	PUNCT
cana-5933	234	66	(	(	PUNCT
cana-5933	234	67	𝜃13	𝜃13	PROPN
cana-5933	234	68	,	,	PUNCT
cana-5933	234	69	𝜗13	𝜗13	NOUN
cana-5933	234	70	)	)	PUNCT
cana-5933	234	71	(	(	PUNCT
cana-5933	234	72	𝜃21	𝜃21	NOUN
cana-5933	234	73	,	,	PUNCT
cana-5933	234	74	𝜗21	𝜗21	NOUN
cana-5933	234	75	)	)	PUNCT
cana-5933	234	76	(	(	PUNCT
cana-5933	234	77	𝜃22	𝜃22	NOUN
cana-5933	234	78	,	,	PUNCT
cana-5933	234	79	𝜗22	𝜗22	PROPN
cana-5933	234	80	)	)	PUNCT
cana-5933	234	81	(	(	PUNCT
cana-5933	234	82	𝜃23	𝜃23	PROPN
cana-5933	234	83	,	,	PUNCT
cana-5933	234	84	𝜗23	𝜗23	ADJ
cana-5933	234	85	)	)	PUNCT
cana-5933	234	86	(	(	PUNCT
cana-5933	234	87	𝜃31	𝜃31	PROPN
cana-5933	234	88	,	,	PUNCT
cana-5933	234	89	𝜗31	𝜗31	NUM
cana-5933	234	90	)	)	PUNCT
cana-5933	234	91	(	(	PUNCT
cana-5933	234	92	𝜃32	𝜃32	PROPN
cana-5933	234	93	,	,	PUNCT
cana-5933	234	94	𝜗32	𝜗32	PROPN
cana-5933	234	95	)	)	PUNCT
cana-5933	234	96	(	(	PUNCT
cana-5933	234	97	𝜃33	𝜃33	NOUN
cana-5933	234	98	,	,	PUNCT
cana-5933	234	99	𝜗33	𝜗33	NOUN
cana-5933	234	100	)	)	PUNCT
cana-5933	234	101	)	)	PUNCT
cana-5933	235	1	intuitionistic	intuitionistic	ADJ
cana-5933	235	2	fuzzy	fuzzy	ADJ
cana-5933	235	3	matrices	matrix	NOUN
cana-5933	235	4	sets	set	NOUN
cana-5933	235	5	over	over	ADP
cana-5933	235	6	different	different	ADJ
cana-5933	235	7	universes	universe	NOUN
cana-5933	235	8	e	e	NOUN
cana-5933	235	9	and	and	CCONJ
cana-5933	235	10	f.	f.	PROPN
cana-5933	235	11	if	if	SCONJ
cana-5933	235	12	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	235	13	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	235	14	=	=	X
cana-5933	235	15	{	{	PUNCT
cana-5933	235	16	x	x	NOUN
cana-5933	235	17	,	,	PUNCT
cana-5933	235	18	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	235	19	)	)	PUNCT
cana-5933	235	20	,	,	PUNCT
cana-5933	235	21	𝜇(x	𝜇(x	X
cana-5933	235	22	):	):	PUNCT
cana-5933	235	23	xx	xx	PRON
cana-5933	235	24	}	}	PUNCT
cana-5933	235	25	and	and	CCONJ
cana-5933	235	26	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	235	27	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	235	28	=	=	PUNCT
cana-5933	235	29	{	{	PUNCT
cana-5933	235	30	y	y	PROPN
cana-5933	235	31	,	,	PUNCT
cana-5933	235	32	𝜃𝐴(y	𝜃𝐴(y	PROPN
cana-5933	235	33	)	)	PUNCT
cana-5933	235	34	,	,	PUNCT
cana-5933	235	35	𝜗𝐴(y	𝜗𝐴(y	PROPN
cana-5933	235	36	):	):	PUNCT
cana-5933	235	37	yy	yy	PROPN
cana-5933	235	38	}	}	PUNCT
cana-5933	235	39	are	be	AUX
cana-5933	235	40	two	two	NUM
cana-5933	235	41	also	also	ADV
cana-5933	235	42	intuitionistic	intuitionistic	ADJ
cana-5933	235	43	fuzzy	fuzzy	ADJ
cana-5933	235	44	matrices	matrix	NOUN
cana-5933	235	45	sets	set	NOUN
cana-5933	235	46	over	over	ADP
cana-5933	235	47	different	different	ADJ
cana-5933	235	48	universes	universe	NOUN
cana-5933	235	49	e	e	NOUN
cana-5933	235	50	and	and	CCONJ
cana-5933	235	51	f.	f.	PROPN
cana-5933	235	52	by	by	ADP
cana-5933	235	53	the	the	DET
cana-5933	235	54	definition	definition	NOUN
cana-5933	235	55	of	of	ADP
cana-5933	235	56	𝐴𝐸	𝐴𝐸	X
cana-5933	235	57	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	235	58	=	=	X
cana-5933	235	59	{	{	PUNCT
cana-5933	235	60	x	x	NOUN
cana-5933	235	61	,	,	PUNCT
cana-5933	235	62	πa(x	πa(x	NOUN
cana-5933	235	63	):	):	PUNCT
cana-5933	235	64	xx	xx	PRON
cana-5933	235	65	}	}	PUNCT
cana-5933	235	66	=	=	SYM
cana-5933	235	67	{	{	PUNCT
cana-5933	235	68	x	x	NOUN
cana-5933	235	69	,	,	PUNCT
cana-5933	235	70	πa(x	πa(x	NOUN
cana-5933	235	71	)	)	PUNCT
cana-5933	235	72	,	,	PUNCT
cana-5933	235	73	1	1	NUM
cana-5933	235	74	−	−	PROPN
cana-5933	235	75	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	235	76	):	):	PUNCT
cana-5933	235	77	xx	xx	NUM
cana-5933	235	78	}	}	PUNCT
cana-5933	235	79	and	and	CCONJ
cana-5933	235	80	𝐵𝐹	𝐵𝐹	NUM
cana-5933	235	81	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	235	82	=	=	SYM
cana-5933	235	83	{	{	PUNCT
cana-5933	235	84	y	y	PROPN
cana-5933	235	85	,	,	PUNCT
cana-5933	235	86	𝜃b(y	𝜃b(y	NUM
cana-5933	235	87	):	):	PUNCT
cana-5933	235	88	yy	yy	NOUN
cana-5933	235	89	}	}	PUNCT
cana-5933	235	90	=	=	SYM
cana-5933	235	91	{	{	PUNCT
cana-5933	235	92	y	y	PROPN
cana-5933	235	93	,	,	PUNCT
cana-5933	235	94	𝜃b(y	𝜃b(y	NUM
cana-5933	235	95	)	)	PUNCT
cana-5933	235	96	,	,	PUNCT
cana-5933	235	97	1	1	NUM
cana-5933	235	98	−	−	NOUN
cana-5933	235	99	𝜃𝐵(y	𝜃𝐵(y	NUM
cana-5933	235	100	):	):	PUNCT
cana-5933	235	101	yy	yy	NOUN
cana-5933	235	102	}	}	PUNCT
cana-5933	235	103	communications	communication	NOUN
cana-5933	235	104	on	on	ADP
cana-5933	235	105	applied	apply	VERB
cana-5933	235	106	nonlinear	nonlinear	ADJ
cana-5933	235	107	analysis	analysis	NOUN
cana-5933	235	108	issn	issn	NOUN
cana-5933	235	109	:	:	PUNCT
cana-5933	235	110	1074	1074	NUM
cana-5933	235	111	-	-	PUNCT
cana-5933	235	112	133x	133x	NUM
cana-5933	235	113	vol	vol	VERB
cana-5933	235	114	32	32	NUM
cana-5933	235	115	no	no	NOUN
cana-5933	235	116	.	.	PUNCT
cana-5933	236	1	10s	10	NOUN
cana-5933	236	2	(	(	PUNCT
cana-5933	236	3	2025	2025	NUM
cana-5933	236	4	)	)	PUNCT
cana-5933	236	5	3145	3145	NUM
cana-5933	236	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	236	7	𝐴𝐸	𝐴𝐸	X
cana-5933	236	8	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	236	9	=	=	X
cana-5933	236	10	(	(	PUNCT
cana-5933	236	11	(	(	PUNCT
cana-5933	236	12	𝜋11	𝜋11	NOUN
cana-5933	236	13	,	,	PUNCT
cana-5933	236	14	1	1	NUM
cana-5933	236	15	−	−	NOUN
cana-5933	236	16	𝜋11	𝜋11	NOUN
cana-5933	236	17	)	)	PUNCT
cana-5933	236	18	(	(	PUNCT
cana-5933	236	19	𝜋12	𝜋12	NOUN
cana-5933	236	20	,	,	PUNCT
cana-5933	236	21	1	1	NUM
cana-5933	236	22	−	−	NOUN
cana-5933	236	23	𝜋12	𝜋12	NOUN
cana-5933	236	24	)	)	PUNCT
cana-5933	236	25	(	(	PUNCT
cana-5933	236	26	𝜋13	𝜋13	ADJ
cana-5933	236	27	,	,	PUNCT
cana-5933	236	28	1	1	NUM
cana-5933	236	29	−	−	NOUN
cana-5933	236	30	𝜋13	𝜋13	NOUN
cana-5933	236	31	)	)	PUNCT
cana-5933	236	32	(	(	PUNCT
cana-5933	236	33	𝜋21	𝜋21	VERB
cana-5933	236	34	,	,	PUNCT
cana-5933	236	35	1	1	NUM
cana-5933	236	36	−	−	NOUN
cana-5933	236	37	𝜋21	𝜋21	PROPN
cana-5933	236	38	)	)	PUNCT
cana-5933	236	39	(	(	PUNCT
cana-5933	236	40	𝜋22	𝜋22	NOUN
cana-5933	236	41	,	,	PUNCT
cana-5933	236	42	1	1	NUM
cana-5933	236	43	−	−	NOUN
cana-5933	236	44	𝜋22	𝜋22	NOUN
cana-5933	236	45	)	)	PUNCT
cana-5933	236	46	(	(	PUNCT
cana-5933	236	47	𝜋23	𝜋23	ADJ
cana-5933	236	48	,	,	PUNCT
cana-5933	236	49	1	1	NUM
cana-5933	236	50	−	−	NOUN
cana-5933	236	51	𝜋23	𝜋23	ADJ
cana-5933	236	52	)	)	PUNCT
cana-5933	236	53	(	(	PUNCT
cana-5933	236	54	𝜋31	𝜋31	PROPN
cana-5933	236	55	,	,	PUNCT
cana-5933	236	56	1	1	NUM
cana-5933	236	57	−	−	NOUN
cana-5933	236	58	𝜋31	𝜋31	NOUN
cana-5933	236	59	)	)	PUNCT
cana-5933	236	60	(	(	PUNCT
cana-5933	236	61	𝜋32	𝜋32	NOUN
cana-5933	236	62	,	,	PUNCT
cana-5933	236	63	1	1	NUM
cana-5933	236	64	−	−	NOUN
cana-5933	236	65	𝜋32	𝜋32	NOUN
cana-5933	236	66	)	)	PUNCT
cana-5933	236	67	(	(	PUNCT
cana-5933	236	68	𝜋33	𝜋33	NOUN
cana-5933	236	69	,	,	PUNCT
cana-5933	236	70	1	1	NUM
cana-5933	236	71	−	−	NOUN
cana-5933	236	72	𝜋33	𝜋33	NOUN
cana-5933	236	73	)	)	PUNCT
cana-5933	236	74	)	)	PUNCT
cana-5933	236	75	and	and	CCONJ
cana-5933	236	76	𝐵𝐹	𝐵𝐹	NUM
cana-5933	236	77	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	236	78	=	=	X
cana-5933	236	79	(	(	PUNCT
cana-5933	236	80	(	(	PUNCT
cana-5933	236	81	𝜃11	𝜃11	ADJ
cana-5933	236	82	,	,	PUNCT
cana-5933	236	83	1	1	NUM
cana-5933	236	84	−	−	NOUN
cana-5933	236	85	𝜃11	𝜃11	NOUN
cana-5933	236	86	)	)	PUNCT
cana-5933	236	87	(	(	PUNCT
cana-5933	236	88	𝜃12	𝜃12	ADJ
cana-5933	236	89	,	,	PUNCT
cana-5933	236	90	1	1	NUM
cana-5933	236	91	−	−	NOUN
cana-5933	236	92	𝜃12	𝜃12	NUM
cana-5933	236	93	)	)	PUNCT
cana-5933	236	94	(	(	PUNCT
cana-5933	236	95	𝜃13	𝜃13	PROPN
cana-5933	236	96	,	,	PUNCT
cana-5933	236	97	1	1	NUM
cana-5933	236	98	−	−	NOUN
cana-5933	236	99	𝜃13	𝜃13	NOUN
cana-5933	236	100	)	)	PUNCT
cana-5933	236	101	(	(	PUNCT
cana-5933	236	102	𝜃21	𝜃21	NOUN
cana-5933	236	103	,	,	PUNCT
cana-5933	236	104	1	1	NUM
cana-5933	236	105	−	−	NOUN
cana-5933	236	106	𝜃21	𝜃21	NOUN
cana-5933	236	107	)	)	PUNCT
cana-5933	236	108	(	(	PUNCT
cana-5933	236	109	𝜃22	𝜃22	ADV
cana-5933	236	110	,	,	PUNCT
cana-5933	236	111	1	1	NUM
cana-5933	236	112	−	−	PROPN
cana-5933	236	113	𝜃22	𝜃22	NOUN
cana-5933	236	114	)	)	PUNCT
cana-5933	236	115	(	(	PUNCT
cana-5933	236	116	𝜃23	𝜃23	PROPN
cana-5933	236	117	,	,	PUNCT
cana-5933	236	118	1	1	NUM
cana-5933	236	119	−	−	PROPN
cana-5933	236	120	𝜃23	𝜃23	NOUN
cana-5933	236	121	)	)	PUNCT
cana-5933	236	122	(	(	PUNCT
cana-5933	236	123	𝜃31	𝜃31	PROPN
cana-5933	236	124	,	,	PUNCT
cana-5933	236	125	1	1	NUM
cana-5933	236	126	−	−	NOUN
cana-5933	236	127	𝜃31	𝜃31	NUM
cana-5933	236	128	)	)	PUNCT
cana-5933	236	129	(	(	PUNCT
cana-5933	236	130	𝜃32	𝜃32	PROPN
cana-5933	236	131	,	,	PUNCT
cana-5933	236	132	1	1	NUM
cana-5933	236	133	−	−	NOUN
cana-5933	236	134	𝜃32	𝜃32	PROPN
cana-5933	236	135	)	)	PUNCT
cana-5933	236	136	(	(	PUNCT
cana-5933	236	137	𝜃33	𝜃33	NOUN
cana-5933	236	138	,	,	PUNCT
cana-5933	236	139	1	1	NUM
cana-5933	236	140	−	−	NOUN
cana-5933	236	141	𝜃33	𝜃33	NOUN
cana-5933	236	142	)	)	PUNCT
cana-5933	236	143	)	)	PUNCT
cana-5933	237	1	then	then	ADV
cana-5933	237	2	applying	apply	VERB
cana-5933	237	3	formula	formula	NOUN
cana-5933	237	4	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	237	5	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	237	6	∪	∪	ADP
cana-5933	237	7	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	237	8	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	237	9	=	=	PUNCT
cana-5933	237	10	{	{	PUNCT
cana-5933	237	11	〈	〈	PROPN
cana-5933	237	12	x	x	PROPN
cana-5933	237	13	,	,	PUNCT
cana-5933	237	14	y	y	PROPN
cana-5933	237	15	〉	〉	NOUN
cana-5933	237	16	,	,	PUNCT
cana-5933	237	17	max	max	PROPN
cana-5933	237	18	(	(	PUNCT
cana-5933	237	19	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	237	20	(	(	PUNCT
cana-5933	237	21	x	x	NOUN
cana-5933	237	22	)	)	PUNCT
cana-5933	237	23	∙	∙	PROPN
cana-5933	237	24	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	237	25	(	(	PUNCT
cana-5933	237	26	y	y	NOUN
cana-5933	237	27	)	)	PUNCT
cana-5933	237	28	,	,	PUNCT
cana-5933	237	29	min	min	PROPN
cana-5933	237	30	(	(	PUNCT
cana-5933	237	31	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	237	32	̅̅	̅̅	NOUN
cana-5933	237	33	̅(x	̅(x	NOUN
cana-5933	237	34	)	)	PUNCT
cana-5933	237	35	∙	∙	PROPN
cana-5933	237	36	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	237	37	̅̅	̅̅	NOUN
cana-5933	237	38	̅	̅	NOUN
cana-5933	237	39	(	(	PUNCT
cana-5933	237	40	y	y	NOUN
cana-5933	237	41	)	)	PUNCT
cana-5933	237	42	):	):	PUNCT
cana-5933	237	43	xe	xe	PROPN
cana-5933	237	44	,	,	PUNCT
cana-5933	237	45	y𝐹	y𝐹	PROPN
cana-5933	237	46	}	}	PUNCT
cana-5933	237	47	,	,	PUNCT
cana-5933	237	48	we	we	PRON
cana-5933	237	49	have	have	VERB
cana-5933	237	50			PROPN
cana-5933	237	51	�	�	NOUN
cana-5933	237	52	̅	̅	NOUN
cana-5933	237	53	�	�	NOUN
cana-5933	237	54	𝐸	𝐸	PROPN
cana-5933	237	55	∪	∪	NUM
cana-5933	237	56	�	�	NOUN
cana-5933	237	57	̅	̅	NOUN
cana-5933	237	58	�	�	NOUN
cana-5933	237	59	𝐹	𝐹	NOUN
cana-5933	237	60	=	=	PUNCT
cana-5933	237	61	(	(	PUNCT
cana-5933	237	62	(	(	PUNCT
cana-5933	237	63	𝜋11	𝜋11	NOUN
cana-5933	237	64	,	,	PUNCT
cana-5933	237	65	1	1	NUM
cana-5933	237	66	−	−	NOUN
cana-5933	237	67	𝜋11	𝜋11	NOUN
cana-5933	237	68	)	)	PUNCT
cana-5933	237	69	(	(	PUNCT
cana-5933	237	70	𝜋12	𝜋12	NOUN
cana-5933	237	71	,	,	PUNCT
cana-5933	237	72	1	1	NUM
cana-5933	237	73	−	−	NOUN
cana-5933	237	74	𝜋12	𝜋12	NOUN
cana-5933	237	75	)	)	PUNCT
cana-5933	237	76	(	(	PUNCT
cana-5933	237	77	𝜋13	𝜋13	ADJ
cana-5933	237	78	,	,	PUNCT
cana-5933	237	79	1	1	NUM
cana-5933	237	80	−	−	NOUN
cana-5933	237	81	𝜋13	𝜋13	NOUN
cana-5933	237	82	)	)	PUNCT
cana-5933	237	83	(	(	PUNCT
cana-5933	237	84	𝜋21	𝜋21	VERB
cana-5933	237	85	,	,	PUNCT
cana-5933	237	86	1	1	NUM
cana-5933	237	87	−	−	NOUN
cana-5933	237	88	𝜋21	𝜋21	PROPN
cana-5933	237	89	)	)	PUNCT
cana-5933	237	90	(	(	PUNCT
cana-5933	237	91	𝜋22	𝜋22	NOUN
cana-5933	237	92	,	,	PUNCT
cana-5933	237	93	1	1	NUM
cana-5933	237	94	−	−	NOUN
cana-5933	237	95	𝜋22	𝜋22	NOUN
cana-5933	237	96	)	)	PUNCT
cana-5933	237	97	(	(	PUNCT
cana-5933	237	98	𝜋23	𝜋23	ADJ
cana-5933	237	99	,	,	PUNCT
cana-5933	237	100	1	1	NUM
cana-5933	237	101	−	−	NOUN
cana-5933	237	102	𝜋23	𝜋23	ADJ
cana-5933	237	103	)	)	PUNCT
cana-5933	237	104	(	(	PUNCT
cana-5933	237	105	𝜋31	𝜋31	PROPN
cana-5933	237	106	,	,	PUNCT
cana-5933	237	107	1	1	NUM
cana-5933	237	108	−	−	NOUN
cana-5933	237	109	𝜋31	𝜋31	NOUN
cana-5933	237	110	)	)	PUNCT
cana-5933	237	111	(	(	PUNCT
cana-5933	237	112	𝜋32	𝜋32	NOUN
cana-5933	237	113	,	,	PUNCT
cana-5933	237	114	1	1	NUM
cana-5933	237	115	−	−	NOUN
cana-5933	237	116	𝜋32	𝜋32	NOUN
cana-5933	237	117	)	)	PUNCT
cana-5933	237	118	(	(	PUNCT
cana-5933	237	119	𝜋33	𝜋33	NOUN
cana-5933	237	120	,	,	PUNCT
cana-5933	237	121	1	1	NUM
cana-5933	237	122	−	−	NOUN
cana-5933	237	123	𝜋33	𝜋33	NOUN
cana-5933	237	124	)	)	PUNCT
cana-5933	237	125	)	)	PUNCT
cana-5933	237	126	∪	∪	ADP
cana-5933	237	127	(	(	PUNCT
cana-5933	237	128	(	(	PUNCT
cana-5933	237	129	𝜃11	𝜃11	ADJ
cana-5933	237	130	,	,	PUNCT
cana-5933	237	131	1	1	NUM
cana-5933	237	132	−	−	NOUN
cana-5933	237	133	𝜃11	𝜃11	NOUN
cana-5933	237	134	)	)	PUNCT
cana-5933	237	135	(	(	PUNCT
cana-5933	237	136	𝜃12	𝜃12	ADJ
cana-5933	237	137	,	,	PUNCT
cana-5933	237	138	1	1	NUM
cana-5933	237	139	−	−	NOUN
cana-5933	237	140	𝜃12	𝜃12	NUM
cana-5933	237	141	)	)	PUNCT
cana-5933	237	142	(	(	PUNCT
cana-5933	237	143	𝜃13	𝜃13	PROPN
cana-5933	237	144	,	,	PUNCT
cana-5933	237	145	1	1	NUM
cana-5933	237	146	−	−	NOUN
cana-5933	237	147	𝜃13	𝜃13	NOUN
cana-5933	237	148	)	)	PUNCT
cana-5933	237	149	(	(	PUNCT
cana-5933	237	150	𝜃21	𝜃21	NOUN
cana-5933	237	151	,	,	PUNCT
cana-5933	237	152	1	1	NUM
cana-5933	237	153	−	−	NOUN
cana-5933	237	154	𝜃21	𝜃21	NOUN
cana-5933	237	155	)	)	PUNCT
cana-5933	237	156	(	(	PUNCT
cana-5933	237	157	𝜃22	𝜃22	ADV
cana-5933	237	158	,	,	PUNCT
cana-5933	237	159	1	1	NUM
cana-5933	237	160	−	−	PROPN
cana-5933	237	161	𝜃22	𝜃22	NOUN
cana-5933	237	162	)	)	PUNCT
cana-5933	237	163	(	(	PUNCT
cana-5933	237	164	𝜃23	𝜃23	PROPN
cana-5933	237	165	,	,	PUNCT
cana-5933	237	166	1	1	NUM
cana-5933	237	167	−	−	PROPN
cana-5933	237	168	𝜃23	𝜃23	NOUN
cana-5933	237	169	)	)	PUNCT
cana-5933	237	170	(	(	PUNCT
cana-5933	237	171	𝜃31	𝜃31	PROPN
cana-5933	237	172	,	,	PUNCT
cana-5933	237	173	1	1	NUM
cana-5933	237	174	−	−	NOUN
cana-5933	237	175	𝜃31	𝜃31	NUM
cana-5933	237	176	)	)	PUNCT
cana-5933	237	177	(	(	PUNCT
cana-5933	237	178	𝜃32	𝜃32	PROPN
cana-5933	237	179	,	,	PUNCT
cana-5933	237	180	1	1	NUM
cana-5933	237	181	−	−	NOUN
cana-5933	237	182	𝜃32	𝜃32	PROPN
cana-5933	237	183	)	)	PUNCT
cana-5933	237	184	(	(	PUNCT
cana-5933	237	185	𝜃33	𝜃33	NOUN
cana-5933	237	186	,	,	PUNCT
cana-5933	237	187	1	1	NUM
cana-5933	237	188	−	−	NOUN
cana-5933	237	189	𝜃33	𝜃33	NOUN
cana-5933	237	190	)	)	PUNCT
cana-5933	237	191	)	)	PUNCT
cana-5933	238	1	where	where	SCONJ
cana-5933	238	2	,	,	PUNCT
cana-5933	238	3	𝑋11	𝑋11	PROPN
cana-5933	238	4	=(	=(	NOUN
cana-5933	238	5	(	(	PUNCT
cana-5933	238	6	𝜋11	𝜋11	NOUN
cana-5933	238	7	,	,	PUNCT
cana-5933	238	8	1	1	NUM
cana-5933	238	9	−	−	NOUN
cana-5933	238	10	𝜋11	𝜋11	NOUN
cana-5933	238	11	)	)	PUNCT
cana-5933	238	12	∪	∪	NOUN
cana-5933	238	13	(	(	PUNCT
cana-5933	238	14	𝜃11	𝜃11	ADJ
cana-5933	238	15	,	,	PUNCT
cana-5933	238	16	1	1	NUM
cana-5933	238	17	−	−	NOUN
cana-5933	238	18	𝜃11	𝜃11	NOUN
cana-5933	238	19	)	)	PUNCT
cana-5933	238	20	)	)	PUNCT
cana-5933	238	21	,	,	PUNCT
cana-5933	238	22	𝑋12=((𝜋12	𝑋12=((𝜋12	VERB
cana-5933	238	23	,	,	PUNCT
cana-5933	238	24	1	1	NUM
cana-5933	238	25	−	−	NOUN
cana-5933	238	26	𝜋12	𝜋12	NOUN
cana-5933	238	27	)	)	PUNCT
cana-5933	238	28	∪	∪	NOUN
cana-5933	238	29	(	(	PUNCT
cana-5933	238	30	𝜃21	𝜃21	ADJ
cana-5933	238	31	,	,	PUNCT
cana-5933	238	32	1	1	NUM
cana-5933	238	33	−	−	NOUN
cana-5933	238	34	𝜃21	𝜃21	NOUN
cana-5933	238	35	)	)	PUNCT
cana-5933	238	36	)	)	PUNCT
cana-5933	238	37	𝑋13=((𝜋13	𝑋13=((𝜋13	PROPN
cana-5933	238	38	,	,	PUNCT
cana-5933	238	39	1	1	NUM
cana-5933	238	40	−	−	NOUN
cana-5933	238	41	𝜋13	𝜋13	NOUN
cana-5933	238	42	)	)	PUNCT
cana-5933	238	43	∪	∪	NOUN
cana-5933	238	44	(	(	PUNCT
cana-5933	238	45	𝜃31	𝜃31	ADJ
cana-5933	238	46	,	,	PUNCT
cana-5933	238	47	1	1	NUM
cana-5933	238	48	−	−	NOUN
cana-5933	238	49	𝜃31	𝜃31	NUM
cana-5933	238	50	)	)	PUNCT
cana-5933	238	51	)	)	PUNCT
cana-5933	238	52	,	,	PUNCT
cana-5933	238	53	𝑋21=((𝜋21	𝑋21=((𝜋21	PROPN
cana-5933	238	54	,	,	PUNCT
cana-5933	238	55	1	1	NUM
cana-5933	238	56	−	−	NOUN
cana-5933	238	57	𝜋21	𝜋21	VERB
cana-5933	238	58	)	)	PUNCT
cana-5933	238	59	∪	∪	NOUN
cana-5933	238	60	(	(	PUNCT
cana-5933	238	61	𝜃12	𝜃12	ADJ
cana-5933	238	62	,	,	PUNCT
cana-5933	238	63	1	1	NUM
cana-5933	238	64	−	−	NOUN
cana-5933	238	65	𝜃12	𝜃12	NUM
cana-5933	238	66	)	)	PUNCT
cana-5933	238	67	)	)	PUNCT
cana-5933	239	1	𝑋22=((𝜋22	𝑋22=((𝜋22	PROPN
cana-5933	239	2	,	,	PUNCT
cana-5933	239	3	1	1	NUM
cana-5933	239	4	−	−	NOUN
cana-5933	239	5	𝜋22	𝜋22	NOUN
cana-5933	239	6	)	)	PUNCT
cana-5933	239	7	∪	∪	NOUN
cana-5933	239	8	(	(	PUNCT
cana-5933	239	9	𝜃22	𝜃22	ADJ
cana-5933	239	10	,	,	PUNCT
cana-5933	239	11	1	1	NUM
cana-5933	239	12	−	−	NOUN
cana-5933	239	13	𝜃22	𝜃22	NOUN
cana-5933	239	14	)	)	PUNCT
cana-5933	239	15	)	)	PUNCT
cana-5933	239	16	,	,	PUNCT
cana-5933	239	17	𝑋23=((𝜋23	𝑋23=((𝜋23	PROPN
cana-5933	239	18	,	,	PUNCT
cana-5933	239	19	1	1	NUM
cana-5933	239	20	−	−	NOUN
cana-5933	239	21	𝜋23	𝜋23	ADJ
cana-5933	239	22	)	)	PUNCT
cana-5933	239	23	∪	∪	NOUN
cana-5933	239	24	(	(	PUNCT
cana-5933	239	25	𝜃32	𝜃32	ADJ
cana-5933	239	26	,	,	PUNCT
cana-5933	239	27	1	1	NUM
cana-5933	239	28	−	−	NOUN
cana-5933	239	29	𝜃32	𝜃32	NOUN
cana-5933	239	30	)	)	PUNCT
cana-5933	239	31	)	)	PUNCT
cana-5933	239	32	𝑋31=	𝑋31=	ADP
cana-5933	239	33	(	(	PUNCT
cana-5933	239	34	(	(	PUNCT
cana-5933	239	35	𝜋31	𝜋31	PROPN
cana-5933	239	36	,	,	PUNCT
cana-5933	239	37	1	1	NUM
cana-5933	239	38	−	−	NOUN
cana-5933	239	39	𝜋31	𝜋31	NOUN
cana-5933	239	40	)	)	PUNCT
cana-5933	239	41	∪	∪	NOUN
cana-5933	239	42	(	(	PUNCT
cana-5933	239	43	𝜃13	𝜃13	NOUN
cana-5933	239	44	,	,	PUNCT
cana-5933	239	45	1	1	NUM
cana-5933	239	46	−	−	NOUN
cana-5933	239	47	𝜃13	𝜃13	NOUN
cana-5933	239	48	)	)	PUNCT
cana-5933	239	49	)	)	PUNCT
cana-5933	239	50	,	,	PUNCT
cana-5933	239	51	𝑋32=((𝜋32	𝑋32=((𝜋32	PROPN
cana-5933	239	52	,	,	PUNCT
cana-5933	239	53	1	1	NUM
cana-5933	239	54	−	−	NOUN
cana-5933	239	55	𝜋32	𝜋32	NOUN
cana-5933	239	56	)	)	PUNCT
cana-5933	239	57	∪	∪	NOUN
cana-5933	239	58	(	(	PUNCT
cana-5933	239	59	𝜃23	𝜃23	PROPN
cana-5933	239	60	,	,	PUNCT
cana-5933	239	61	1	1	NUM
cana-5933	239	62	−	−	PROPN
cana-5933	239	63	𝜃23	𝜃23	NOUN
cana-5933	239	64	)	)	PUNCT
cana-5933	239	65	)	)	PUNCT
cana-5933	240	1	𝑋33=((𝜋33	𝑋33=((𝜋33	PROPN
cana-5933	240	2	,	,	PUNCT
cana-5933	240	3	1	1	NUM
cana-5933	240	4	−	−	NOUN
cana-5933	240	5	𝜋33	𝜋33	NOUN
cana-5933	240	6	)	)	PUNCT
cana-5933	240	7	∪	∪	NOUN
cana-5933	240	8	(	(	PUNCT
cana-5933	240	9	𝜃33	𝜃33	NOUN
cana-5933	240	10	,	,	PUNCT
cana-5933	240	11	1	1	NUM
cana-5933	240	12	−	−	NOUN
cana-5933	240	13	𝜃33	𝜃33	NOUN
cana-5933	240	14	)	)	PUNCT
cana-5933	240	15	)	)	PUNCT
cana-5933	240	16	now	now	ADV
cana-5933	240	17	applying	apply	VERB
cana-5933	240	18	the	the	DET
cana-5933	240	19	formula	formula	NOUN
cana-5933	240	20	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	240	21	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	240	22	∪	∪	ADP
cana-5933	240	23	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	240	24	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	240	25	=	=	PUNCT
cana-5933	240	26	{	{	PUNCT
cana-5933	240	27	〈	〈	PROPN
cana-5933	240	28	x	x	PROPN
cana-5933	240	29	,	,	PUNCT
cana-5933	240	30	y	y	PROPN
cana-5933	240	31	〉	〉	NOUN
cana-5933	240	32	,	,	PUNCT
cana-5933	240	33	max	max	PROPN
cana-5933	240	34	(	(	PUNCT
cana-5933	240	35	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	240	36	(	(	PUNCT
cana-5933	240	37	x	x	NOUN
cana-5933	240	38	)	)	PUNCT
cana-5933	240	39	∙	∙	PROPN
cana-5933	240	40	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	240	41	(	(	PUNCT
cana-5933	240	42	y	y	NOUN
cana-5933	240	43	)	)	PUNCT
cana-5933	240	44	,	,	PUNCT
cana-5933	240	45	min	min	PROPN
cana-5933	240	46	(	(	PUNCT
cana-5933	240	47	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	240	48	̅̅	̅̅	NOUN
cana-5933	240	49	̅(x	̅(x	NOUN
cana-5933	240	50	)	)	PUNCT
cana-5933	240	51	∙	∙	PROPN
cana-5933	240	52	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	240	53	̅̅	̅̅	NOUN
cana-5933	240	54	̅	̅	NOUN
cana-5933	240	55	(	(	PUNCT
cana-5933	240	56	y	y	NOUN
cana-5933	240	57	)	)	PUNCT
cana-5933	240	58	):	):	PUNCT
cana-5933	240	59	xe	xe	PROPN
cana-5933	240	60	,	,	PUNCT
cana-5933	240	61	y𝐹	y𝐹	PROPN
cana-5933	240	62	}	}	PUNCT
cana-5933	240	63	,	,	PUNCT
cana-5933	240	64	𝑋11=	𝑋11=	X
cana-5933	240	65	{	{	PUNCT
cana-5933	240	66	max	max	PROPN
cana-5933	240	67	(	(	PUNCT
cana-5933	240	68	𝜋11(x	𝜋11(x	NOUN
cana-5933	240	69	)	)	PUNCT
cana-5933	240	70	,	,	PUNCT
cana-5933	240	71	𝜃11	𝜃11	NOUN
cana-5933	240	72	(	(	PUNCT
cana-5933	240	73	y	y	NOUN
cana-5933	240	74	)	)	PUNCT
cana-5933	240	75	)	)	PUNCT
cana-5933	240	76	,	,	PUNCT
cana-5933	240	77	min	min	NOUN
cana-5933	240	78	(	(	PUNCT
cana-5933	240	79	1	1	NUM
cana-5933	240	80	−	−	NOUN
cana-5933	240	81	𝜋11	𝜋11	NOUN
cana-5933	240	82	(	(	PUNCT
cana-5933	240	83	x	x	NOUN
cana-5933	240	84	)	)	PUNCT
cana-5933	240	85	,	,	PUNCT
cana-5933	240	86	1	1	NUM
cana-5933	240	87	−	−	NOUN
cana-5933	240	88	𝜃11	𝜃11	NOUN
cana-5933	240	89	(	(	PUNCT
cana-5933	240	90	y	y	NOUN
cana-5933	240	91	)	)	PUNCT
cana-5933	240	92	)	)	PUNCT
cana-5933	240	93	}	}	PUNCT
cana-5933	240	94	𝑋12=	𝑋12=	PROPN
cana-5933	240	95	{	{	PUNCT
cana-5933	240	96	max	max	PROPN
cana-5933	240	97	(	(	PUNCT
cana-5933	240	98	𝜋12	𝜋12	NOUN
cana-5933	240	99	(	(	PUNCT
cana-5933	240	100	x	x	NOUN
cana-5933	240	101	)	)	PUNCT
cana-5933	240	102	,	,	PUNCT
cana-5933	240	103	𝜃12	𝜃12	NUM
cana-5933	240	104	(	(	PUNCT
cana-5933	240	105	y	y	NOUN
cana-5933	240	106	)	)	PUNCT
cana-5933	240	107	)	)	PUNCT
cana-5933	240	108	,	,	PUNCT
cana-5933	240	109	min	min	NOUN
cana-5933	240	110	(	(	PUNCT
cana-5933	240	111	1	1	NUM
cana-5933	240	112	−	−	NOUN
cana-5933	240	113	𝜋12	𝜋12	NOUN
cana-5933	240	114	(	(	PUNCT
cana-5933	240	115	x	x	NOUN
cana-5933	240	116	)	)	PUNCT
cana-5933	240	117	,	,	PUNCT
cana-5933	240	118	1	1	NUM
cana-5933	240	119	−	−	NOUN
cana-5933	240	120	𝜃12(y	𝜃12(y	ADJ
cana-5933	240	121	)	)	PUNCT
cana-5933	240	122	)	)	PUNCT
cana-5933	240	123	}	}	PUNCT
cana-5933	240	124	𝑋13=	𝑋13=	PROPN
cana-5933	240	125	{	{	PUNCT
cana-5933	240	126	max	max	PROPN
cana-5933	240	127	(	(	PUNCT
cana-5933	240	128	𝜋13	𝜋13	NOUN
cana-5933	240	129	(	(	PUNCT
cana-5933	240	130	x	x	NOUN
cana-5933	240	131	)	)	PUNCT
cana-5933	240	132	,	,	PUNCT
cana-5933	240	133	𝜃13	𝜃13	PROPN
cana-5933	240	134	(	(	PUNCT
cana-5933	240	135	y	y	NOUN
cana-5933	240	136	)	)	PUNCT
cana-5933	240	137	)	)	PUNCT
cana-5933	240	138	,	,	PUNCT
cana-5933	240	139	min	min	NOUN
cana-5933	240	140	(	(	PUNCT
cana-5933	240	141	1	1	NUM
cana-5933	240	142	−	−	NOUN
cana-5933	240	143	𝜋13	𝜋13	NOUN
cana-5933	240	144	(	(	PUNCT
cana-5933	240	145	x	x	NOUN
cana-5933	240	146	)	)	PUNCT
cana-5933	240	147	,	,	PUNCT
cana-5933	240	148	1	1	NUM
cana-5933	240	149	−	−	NOUN
cana-5933	240	150	𝜃13	𝜃13	NOUN
cana-5933	240	151	(	(	PUNCT
cana-5933	240	152	y	y	NOUN
cana-5933	240	153	)	)	PUNCT
cana-5933	240	154	)	)	PUNCT
cana-5933	240	155	}	}	PUNCT
cana-5933	240	156	𝑋21=	𝑋21=	X
cana-5933	240	157	{	{	PUNCT
cana-5933	240	158	max	max	PROPN
cana-5933	240	159	(	(	PUNCT
cana-5933	240	160	𝜋21	𝜋21	PROPN
cana-5933	240	161	(	(	PUNCT
cana-5933	240	162	x	x	NOUN
cana-5933	240	163	)	)	PUNCT
cana-5933	240	164	,	,	PUNCT
cana-5933	240	165	𝜃21(y	𝜃21(y	PROPN
cana-5933	240	166	)	)	PUNCT
cana-5933	240	167	)	)	PUNCT
cana-5933	240	168	,	,	PUNCT
cana-5933	240	169	min	min	NOUN
cana-5933	240	170	(	(	PUNCT
cana-5933	240	171	1	1	NUM
cana-5933	240	172	−	−	NOUN
cana-5933	240	173	𝜋21	𝜋21	ADJ
cana-5933	240	174	(	(	PUNCT
cana-5933	240	175	x	x	NOUN
cana-5933	240	176	)	)	PUNCT
cana-5933	240	177	,	,	PUNCT
cana-5933	240	178	1	1	NUM
cana-5933	240	179	−	−	NOUN
cana-5933	240	180	𝜃21	𝜃21	NOUN
cana-5933	240	181	(	(	PUNCT
cana-5933	240	182	y	y	NOUN
cana-5933	240	183	)	)	PUNCT
cana-5933	240	184	)	)	PUNCT
cana-5933	240	185	}	}	PUNCT
cana-5933	240	186	𝑋22=	𝑋22=	PROPN
cana-5933	240	187	{	{	PUNCT
cana-5933	240	188	max	max	PROPN
cana-5933	240	189	(	(	PUNCT
cana-5933	240	190	𝜋22	𝜋22	PROPN
cana-5933	240	191	(	(	PUNCT
cana-5933	240	192	x	x	NOUN
cana-5933	240	193	)	)	PUNCT
cana-5933	240	194	,	,	PUNCT
cana-5933	240	195	𝜃22(y	𝜃22(y	ADP
cana-5933	240	196	)	)	PUNCT
cana-5933	240	197	)	)	PUNCT
cana-5933	240	198	,	,	PUNCT
cana-5933	240	199	min	min	NOUN
cana-5933	240	200	(	(	PUNCT
cana-5933	240	201	1	1	NUM
cana-5933	240	202	−	−	PROPN
cana-5933	240	203	𝜋22	𝜋22	NOUN
cana-5933	240	204	(	(	PUNCT
cana-5933	240	205	x	x	NOUN
cana-5933	240	206	)	)	PUNCT
cana-5933	240	207	,	,	PUNCT
cana-5933	240	208	1	1	NUM
cana-5933	240	209	−	−	NOUN
cana-5933	240	210	𝜃22(y	𝜃22(y	NOUN
cana-5933	240	211	)	)	PUNCT
cana-5933	240	212	)	)	PUNCT
cana-5933	240	213	}	}	PUNCT
cana-5933	240	214	𝑋23=	𝑋23=	NOUN
cana-5933	240	215	{	{	PUNCT
cana-5933	240	216	max	max	PROPN
cana-5933	240	217	(	(	PUNCT
cana-5933	240	218	𝜋23	𝜋23	PROPN
cana-5933	240	219	(	(	PUNCT
cana-5933	240	220	x	x	NOUN
cana-5933	240	221	)	)	PUNCT
cana-5933	240	222	,	,	PUNCT
cana-5933	240	223	𝜃23	𝜃23	PROPN
cana-5933	240	224	(	(	PUNCT
cana-5933	240	225	y	y	NOUN
cana-5933	240	226	)	)	PUNCT
cana-5933	240	227	)	)	PUNCT
cana-5933	240	228	,	,	PUNCT
cana-5933	240	229	min	min	NOUN
cana-5933	240	230	(	(	PUNCT
cana-5933	240	231	1	1	NUM
cana-5933	240	232	−	−	NOUN
cana-5933	240	233	𝜋23	𝜋23	ADJ
cana-5933	240	234	(	(	PUNCT
cana-5933	240	235	x	x	NOUN
cana-5933	240	236	)	)	PUNCT
cana-5933	240	237	,	,	PUNCT
cana-5933	240	238	1	1	NUM
cana-5933	240	239	−	−	NOUN
cana-5933	240	240	𝜃23(y	𝜃23(y	NOUN
cana-5933	240	241	)	)	PUNCT
cana-5933	240	242	)	)	PUNCT
cana-5933	240	243	}	}	PUNCT
cana-5933	240	244	𝑋31=	𝑋31=	ADP
cana-5933	240	245	{	{	PUNCT
cana-5933	240	246	max	max	PROPN
cana-5933	240	247	(	(	PUNCT
cana-5933	240	248	𝜋31	𝜋31	PROPN
cana-5933	240	249	(	(	PUNCT
cana-5933	240	250	x	x	X
cana-5933	240	251	)	)	PUNCT
cana-5933	240	252	,	,	PUNCT
cana-5933	240	253	𝜃31	𝜃31	NUM
cana-5933	240	254	(	(	PUNCT
cana-5933	240	255	y	y	NOUN
cana-5933	240	256	)	)	PUNCT
cana-5933	240	257	)	)	PUNCT
cana-5933	240	258	,	,	PUNCT
cana-5933	240	259	min	min	NOUN
cana-5933	240	260	(	(	PUNCT
cana-5933	240	261	1	1	NUM
cana-5933	240	262	−	−	NOUN
cana-5933	240	263	𝜋31	𝜋31	NOUN
cana-5933	240	264	(	(	PUNCT
cana-5933	240	265	x	x	X
cana-5933	240	266	)	)	PUNCT
cana-5933	240	267	,	,	PUNCT
cana-5933	240	268	1	1	NUM
cana-5933	240	269	−	−	NOUN
cana-5933	240	270	𝜃31(y	𝜃31(y	NUM
cana-5933	240	271	)	)	PUNCT
cana-5933	240	272	)	)	PUNCT
cana-5933	240	273	}	}	PUNCT
cana-5933	240	274	𝑋32=	𝑋32=	PROPN
cana-5933	240	275	{	{	PUNCT
cana-5933	240	276	max	max	PROPN
cana-5933	240	277	(	(	PUNCT
cana-5933	240	278	𝜋32	𝜋32	X
cana-5933	240	279	(	(	PUNCT
cana-5933	240	280	x	x	X
cana-5933	240	281	)	)	PUNCT
cana-5933	240	282	,	,	PUNCT
cana-5933	240	283	𝜃32	𝜃32	X
cana-5933	240	284	(	(	PUNCT
cana-5933	240	285	y	y	NOUN
cana-5933	240	286	)	)	PUNCT
cana-5933	240	287	)	)	PUNCT
cana-5933	240	288	,	,	PUNCT
cana-5933	240	289	min	min	NOUN
cana-5933	240	290	(	(	PUNCT
cana-5933	240	291	1	1	NUM
cana-5933	240	292	−	−	NOUN
cana-5933	240	293	𝜋32	𝜋32	NOUN
cana-5933	240	294	(	(	PUNCT
cana-5933	240	295	x	x	X
cana-5933	240	296	)	)	PUNCT
cana-5933	240	297	,	,	PUNCT
cana-5933	240	298	1	1	NUM
cana-5933	240	299	−	−	NOUN
cana-5933	240	300	𝜃32	𝜃32	NOUN
cana-5933	240	301	(	(	PUNCT
cana-5933	240	302	y	y	NOUN
cana-5933	240	303	)	)	PUNCT
cana-5933	240	304	)	)	PUNCT
cana-5933	240	305	}	}	PUNCT
cana-5933	240	306	communications	communication	NOUN
cana-5933	240	307	on	on	ADP
cana-5933	240	308	applied	apply	VERB
cana-5933	240	309	nonlinear	nonlinear	ADJ
cana-5933	240	310	analysis	analysis	NOUN
cana-5933	240	311	issn	issn	NOUN
cana-5933	240	312	:	:	PUNCT
cana-5933	240	313	1074	1074	NUM
cana-5933	240	314	-	-	PUNCT
cana-5933	240	315	133x	133x	NUM
cana-5933	240	316	vol	vol	VERB
cana-5933	240	317	32	32	NUM
cana-5933	240	318	no	no	NOUN
cana-5933	240	319	.	.	PUNCT
cana-5933	241	1	10s	10	NOUN
cana-5933	241	2	(	(	PUNCT
cana-5933	241	3	2025	2025	NUM
cana-5933	241	4	)	)	PUNCT
cana-5933	241	5	3146	3146	NUM
cana-5933	241	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	241	7	𝑋33=	𝑋33=	ADJ
cana-5933	241	8	{	{	PUNCT
cana-5933	241	9	max	max	PROPN
cana-5933	241	10	(	(	PUNCT
cana-5933	241	11	𝜋33	𝜋33	X
cana-5933	241	12	(	(	PUNCT
cana-5933	241	13	x	x	NOUN
cana-5933	241	14	)	)	PUNCT
cana-5933	241	15	,	,	PUNCT
cana-5933	241	16	𝜃33	𝜃33	NOUN
cana-5933	241	17	(	(	PUNCT
cana-5933	241	18	y	y	NOUN
cana-5933	241	19	)	)	PUNCT
cana-5933	241	20	)	)	PUNCT
cana-5933	241	21	,	,	PUNCT
cana-5933	241	22	min	min	NOUN
cana-5933	241	23	(	(	PUNCT
cana-5933	241	24	1	1	NUM
cana-5933	241	25	−	−	NOUN
cana-5933	241	26	𝜋33	𝜋33	NOUN
cana-5933	241	27	(	(	PUNCT
cana-5933	241	28	x	x	NOUN
cana-5933	241	29	)	)	PUNCT
cana-5933	241	30	,	,	PUNCT
cana-5933	241	31	1	1	NUM
cana-5933	241	32	−	−	NOUN
cana-5933	241	33	𝜃33	𝜃33	NOUN
cana-5933	241	34	(	(	PUNCT
cana-5933	241	35	y	y	NOUN
cana-5933	241	36	)	)	PUNCT
cana-5933	241	37	)	)	PUNCT
cana-5933	241	38	}	}	PUNCT
cana-5933	241	39	we	we	PRON
cana-5933	241	40	have	have	VERB
cana-5933	241	41	,	,	PUNCT
cana-5933	241	42	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	241	43	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	241	44	∪	∪	ADP
cana-5933	241	45	𝐵𝐹	𝐵𝐹	NUM
cana-5933	241	46	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	241	47	=	=	X
cana-5933	242	1	(	(	PUNCT
cana-5933	242	2	𝑋11	𝑋11	PROPN
cana-5933	242	3	𝑋12	𝑋12	PROPN
cana-5933	242	4	𝑋13	𝑋13	PROPN
cana-5933	242	5	𝑋21	𝑋21	PROPN
cana-5933	242	6	𝑋22	𝑋22	VERB
cana-5933	242	7	𝑋23	𝑋23	PROPN
cana-5933	242	8	𝑋31	𝑋31	PROPN
cana-5933	242	9	𝑋32	𝑋32	PROPN
cana-5933	242	10	𝑋33	𝑋33	PROPN
cana-5933	242	11	)	)	PUNCT
cana-5933	242	12	is	be	AUX
cana-5933	242	13	also	also	ADV
cana-5933	242	14	intuitionistic	intuitionistic	ADJ
cana-5933	242	15	fuzzy	fuzzy	ADJ
cana-5933	242	16	matrix	matrix	NOUN
cana-5933	242	17	set	set	NOUN
cana-5933	242	18	.	.	PUNCT
cana-5933	243	1	theorem	theorem	VERB
cana-5933	243	2	6.7.3	6.7.3	NUM
cana-5933	243	3	:	:	PUNCT
cana-5933	243	4	if	if	SCONJ
cana-5933	243	5	e	e	PROPN
cana-5933	243	6	and	and	CCONJ
cana-5933	243	7	f	f	PROPN
cana-5933	243	8	be	be	AUX
cana-5933	243	9	two	two	NUM
cana-5933	243	10	universal	universal	ADJ
cana-5933	243	11	sets	set	NOUN
cana-5933	243	12	.	.	PUNCT
cana-5933	244	1	for	for	ADP
cana-5933	244	2	every	every	DET
cana-5933	244	3	necessity	necessity	NOUN
cana-5933	244	4	function	function	NOUN
cana-5933	244	5	of	of	ADP
cana-5933	244	6	intuitionistic	intuitionistic	ADJ
cana-5933	244	7	fuzzy	fuzzy	ADJ
cana-5933	244	8	matrix	matrix	NOUN
cana-5933	244	9	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	244	10	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	244	11	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-5933	244	12	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	244	13	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	244	14	are	be	AUX
cana-5933	244	15	intuitionistic	intuitionistic	ADJ
cana-5933	244	16	fuzzy	fuzzy	ADJ
cana-5933	244	17	matrix	matrix	NOUN
cana-5933	244	18	in	in	ADP
cana-5933	244	19	e	e	PROPN
cana-5933	244	20	and	and	CCONJ
cana-5933	244	21	f	f	PROPN
cana-5933	244	22	then	then	ADV
cana-5933	244	23			PROPN
cana-5933	244	24	�	�	PROPN
cana-5933	244	25	̅	̅	NOUN
cana-5933	244	26	�	�	NOUN
cana-5933	244	27	𝐸	𝐸	ADJ
cana-5933	244	28			ADJ
cana-5933	244	29			PROPN
cana-5933	244	30	�	�	PROPN
cana-5933	244	31	̅	̅	NOUN
cana-5933	244	32	�	�	NOUN
cana-5933	244	33	𝐹	𝐹	PROPN
cana-5933	244	34	is	be	AUX
cana-5933	244	35	also	also	ADV
cana-5933	244	36	necessity	necessity	NOUN
cana-5933	244	37	function	function	NOUN
cana-5933	244	38	of	of	ADP
cana-5933	244	39	intuitionistic	intuitionistic	ADJ
cana-5933	244	40	fuzzy	fuzzy	ADJ
cana-5933	244	41	matrix	matrix	NOUN
cana-5933	244	42	.	.	PUNCT
cana-5933	245	1	proof	proof	NOUN
cana-5933	245	2	:	:	PUNCT
cana-5933	245	3	if	if	SCONJ
cana-5933	245	4	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	245	5	and	and	CCONJ
cana-5933	245	6	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	245	7	are	be	AUX
cana-5933	245	8	two	two	NUM
cana-5933	245	9	intuitionistic	intuitionistic	ADJ
cana-5933	245	10	fuzzy	fuzzy	ADJ
cana-5933	245	11	matrices	matrix	NOUN
cana-5933	245	12	sets	set	NOUN
cana-5933	245	13	over	over	ADP
cana-5933	245	14	different	different	ADJ
cana-5933	245	15	universes	universe	NOUN
cana-5933	245	16	e	e	PROPN
cana-5933	245	17	&	&	CCONJ
cana-5933	245	18	f	f	PROPN
cana-5933	245	19	and	and	CCONJ
cana-5933	245	20	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	245	21	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	245	22	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5933	245	23	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	245	24	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	245	25	are	be	AUX
cana-5933	245	26	also	also	ADV
cana-5933	245	27	intuitionistic	intuitionistic	ADJ
cana-5933	245	28	fuzzy	fuzzy	ADJ
cana-5933	245	29	matrices	matrix	NOUN
cana-5933	245	30	sets	set	NOUN
cana-5933	245	31	over	over	ADP
cana-5933	245	32	different	different	ADJ
cana-5933	245	33	universes	universe	NOUN
cana-5933	245	34	e	e	NOUN
cana-5933	245	35	and	and	CCONJ
cana-5933	245	36	f.	f.	PROPN
cana-5933	245	37	if	if	SCONJ
cana-5933	245	38	we	we	PRON
cana-5933	245	39	consider	consider	VERB
cana-5933	245	40	to	to	ADP
cana-5933	245	41	3×	3×	NUM
cana-5933	245	42	3	3	NUM
cana-5933	245	43	matrix	matrix	NOUN
cana-5933	245	44	.	.	PUNCT
cana-5933	246	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	246	2	=	=	SYM
cana-5933	246	3	(	(	PUNCT
cana-5933	246	4	(	(	PUNCT
cana-5933	246	5	𝜇11	𝜇11	ADJ
cana-5933	246	6	,	,	PUNCT
cana-5933	246	7	𝜋11	𝜋11	NOUN
cana-5933	246	8	)	)	PUNCT
cana-5933	246	9	(	(	PUNCT
cana-5933	246	10	𝜇12	𝜇12	NOUN
cana-5933	246	11	,	,	PUNCT
cana-5933	246	12	𝜋12	𝜋12	NOUN
cana-5933	246	13	)	)	PUNCT
cana-5933	246	14	(	(	PUNCT
cana-5933	246	15	𝜇13	𝜇13	NOUN
cana-5933	246	16	,	,	PUNCT
cana-5933	246	17	𝜋13	𝜋13	NOUN
cana-5933	246	18	)	)	PUNCT
cana-5933	246	19	(	(	PUNCT
cana-5933	246	20	𝜇21	𝜇21	NOUN
cana-5933	246	21	,	,	PUNCT
cana-5933	246	22	𝜋21	𝜋21	NOUN
cana-5933	246	23	)	)	PUNCT
cana-5933	246	24	(	(	PUNCT
cana-5933	246	25	𝜇22	𝜇22	NOUN
cana-5933	246	26	,	,	PUNCT
cana-5933	246	27	𝜋22	𝜋22	NOUN
cana-5933	246	28	)	)	PUNCT
cana-5933	246	29	(	(	PUNCT
cana-5933	246	30	𝜇23	𝜇23	PROPN
cana-5933	246	31	,	,	PUNCT
cana-5933	246	32	𝜋23	𝜋23	ADJ
cana-5933	246	33	)	)	PUNCT
cana-5933	246	34	(	(	PUNCT
cana-5933	246	35	𝜇31	𝜇31	PROPN
cana-5933	246	36	,	,	PUNCT
cana-5933	246	37	𝜋31	𝜋31	PROPN
cana-5933	246	38	)	)	PUNCT
cana-5933	246	39	(	(	PUNCT
cana-5933	246	40	𝜇32	𝜇32	NOUN
cana-5933	246	41	,	,	PUNCT
cana-5933	246	42	𝜋32	𝜋32	NOUN
cana-5933	246	43	)	)	PUNCT
cana-5933	246	44	(	(	PUNCT
cana-5933	246	45	𝜇33	𝜇33	NOUN
cana-5933	246	46	,	,	PUNCT
cana-5933	246	47	𝜋33	𝜋33	NOUN
cana-5933	246	48	)	)	PUNCT
cana-5933	246	49	)	)	PUNCT
cana-5933	246	50	and	and	CCONJ
cana-5933	246	51	𝐵𝐹=	𝐵𝐹=	NOUN
cana-5933	246	52	(	(	PUNCT
cana-5933	246	53	(	(	PUNCT
cana-5933	246	54	𝜗11	𝜗11	NOUN
cana-5933	246	55	,	,	PUNCT
cana-5933	246	56	𝜃11	𝜃11	NOUN
cana-5933	246	57	)	)	PUNCT
cana-5933	246	58	(	(	PUNCT
cana-5933	246	59	𝜗12	𝜗12	PROPN
cana-5933	246	60	,	,	PUNCT
cana-5933	246	61	𝜃12	𝜃12	NUM
cana-5933	246	62	)	)	PUNCT
cana-5933	246	63	(	(	PUNCT
cana-5933	246	64	𝜗13	𝜗13	PROPN
cana-5933	246	65	,	,	PUNCT
cana-5933	246	66	𝜃13	𝜃13	PROPN
cana-5933	246	67	)	)	PUNCT
cana-5933	246	68	(	(	PUNCT
cana-5933	246	69	𝜗21	𝜗21	NOUN
cana-5933	246	70	,	,	PUNCT
cana-5933	246	71	𝜃21	𝜃21	NOUN
cana-5933	246	72	)	)	PUNCT
cana-5933	246	73	(	(	PUNCT
cana-5933	246	74	𝜗22	𝜗22	PROPN
cana-5933	246	75	,	,	PUNCT
cana-5933	246	76	𝜃22	𝜃22	NOUN
cana-5933	246	77	)	)	PUNCT
cana-5933	246	78	(	(	PUNCT
cana-5933	246	79	𝜗23	𝜗23	PROPN
cana-5933	246	80	,	,	PUNCT
cana-5933	246	81	𝜃23	𝜃23	PROPN
cana-5933	246	82	)	)	PUNCT
cana-5933	246	83	(	(	PUNCT
cana-5933	246	84	𝜗31	𝜗31	NUM
cana-5933	246	85	,	,	PUNCT
cana-5933	246	86	𝜃31	𝜃31	NUM
cana-5933	246	87	)	)	PUNCT
cana-5933	246	88	(	(	PUNCT
cana-5933	246	89	𝜗32	𝜗32	PROPN
cana-5933	246	90	,	,	PUNCT
cana-5933	246	91	𝜃32	𝜃32	PROPN
cana-5933	246	92	)	)	PUNCT
cana-5933	246	93	(	(	PUNCT
cana-5933	246	94	𝜗33	𝜗33	NOUN
cana-5933	246	95	,	,	PUNCT
cana-5933	246	96	𝜃33	𝜃33	NUM
cana-5933	246	97	)	)	PUNCT
cana-5933	246	98	)	)	PUNCT
cana-5933	247	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	247	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	247	3	=	=	X
cana-5933	247	4	(	(	PUNCT
cana-5933	247	5	(	(	PUNCT
cana-5933	247	6	𝜋11	𝜋11	NOUN
cana-5933	247	7	,	,	PUNCT
cana-5933	247	8	𝜇11	𝜇11	NOUN
cana-5933	247	9	)	)	PUNCT
cana-5933	247	10	(	(	PUNCT
cana-5933	247	11	𝜋12	𝜋12	NOUN
cana-5933	247	12	,	,	PUNCT
cana-5933	247	13	𝜇12	𝜇12	NOUN
cana-5933	247	14	)	)	PUNCT
cana-5933	247	15	(	(	PUNCT
cana-5933	247	16	𝜋13	𝜋13	PROPN
cana-5933	247	17	,	,	PUNCT
cana-5933	247	18	𝜇13	𝜇13	NOUN
cana-5933	247	19	)	)	PUNCT
cana-5933	247	20	(	(	PUNCT
cana-5933	247	21	𝜋21	𝜋21	ADJ
cana-5933	247	22	,	,	PUNCT
cana-5933	247	23	𝜇21	𝜇21	NOUN
cana-5933	247	24	)	)	PUNCT
cana-5933	247	25	(	(	PUNCT
cana-5933	247	26	𝜋22	𝜋22	NOUN
cana-5933	247	27	,	,	PUNCT
cana-5933	247	28	𝜇22	𝜇22	PROPN
cana-5933	247	29	)	)	PUNCT
cana-5933	247	30	(	(	PUNCT
cana-5933	247	31	𝜋23	𝜋23	ADJ
cana-5933	247	32	,	,	PUNCT
cana-5933	247	33	𝜇23	𝜇23	NOUN
cana-5933	247	34	)	)	PUNCT
cana-5933	247	35	(	(	PUNCT
cana-5933	247	36	𝜋31	𝜋31	PROPN
cana-5933	247	37	,	,	PUNCT
cana-5933	247	38	𝜇31	𝜇31	NOUN
cana-5933	247	39	)	)	PUNCT
cana-5933	247	40	(	(	PUNCT
cana-5933	247	41	𝜋32	𝜋32	NOUN
cana-5933	247	42	,	,	PUNCT
cana-5933	247	43	𝜇32	𝜇32	NOUN
cana-5933	247	44	)	)	PUNCT
cana-5933	247	45	(	(	PUNCT
cana-5933	247	46	𝜋33	𝜋33	PROPN
cana-5933	247	47	,	,	PUNCT
cana-5933	247	48	𝜇33	𝜇33	NOUN
cana-5933	247	49	)	)	PUNCT
cana-5933	247	50	)	)	PUNCT
cana-5933	247	51	and	and	CCONJ
cana-5933	247	52	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	247	53	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	247	54	=(	=(	NOUN
cana-5933	247	55	(	(	PUNCT
cana-5933	247	56	𝜃11	𝜃11	ADJ
cana-5933	247	57	,	,	PUNCT
cana-5933	247	58	𝜗11	𝜗11	NOUN
cana-5933	247	59	)	)	PUNCT
cana-5933	247	60	(	(	PUNCT
cana-5933	247	61	𝜃12	𝜃12	ADJ
cana-5933	247	62	,	,	PUNCT
cana-5933	247	63	𝜗12	𝜗12	PROPN
cana-5933	247	64	)	)	PUNCT
cana-5933	247	65	(	(	PUNCT
cana-5933	247	66	𝜃13	𝜃13	PROPN
cana-5933	247	67	,	,	PUNCT
cana-5933	247	68	𝜗13	𝜗13	NOUN
cana-5933	247	69	)	)	PUNCT
cana-5933	247	70	(	(	PUNCT
cana-5933	247	71	𝜃21	𝜃21	NOUN
cana-5933	247	72	,	,	PUNCT
cana-5933	247	73	𝜗21	𝜗21	NOUN
cana-5933	247	74	)	)	PUNCT
cana-5933	247	75	(	(	PUNCT
cana-5933	247	76	𝜃22	𝜃22	NOUN
cana-5933	247	77	,	,	PUNCT
cana-5933	247	78	𝜗22	𝜗22	PROPN
cana-5933	247	79	)	)	PUNCT
cana-5933	247	80	(	(	PUNCT
cana-5933	247	81	𝜃23	𝜃23	PROPN
cana-5933	247	82	,	,	PUNCT
cana-5933	247	83	𝜗23	𝜗23	ADJ
cana-5933	247	84	)	)	PUNCT
cana-5933	247	85	(	(	PUNCT
cana-5933	247	86	𝜃31	𝜃31	PROPN
cana-5933	247	87	,	,	PUNCT
cana-5933	247	88	𝜗31	𝜗31	NUM
cana-5933	247	89	)	)	PUNCT
cana-5933	247	90	(	(	PUNCT
cana-5933	247	91	𝜃32	𝜃32	PROPN
cana-5933	247	92	,	,	PUNCT
cana-5933	247	93	𝜗32	𝜗32	PROPN
cana-5933	247	94	)	)	PUNCT
cana-5933	247	95	(	(	PUNCT
cana-5933	247	96	𝜃33	𝜃33	NOUN
cana-5933	247	97	,	,	PUNCT
cana-5933	247	98	𝜗33	𝜗33	NOUN
cana-5933	247	99	)	)	PUNCT
cana-5933	247	100	)	)	PUNCT
cana-5933	248	1	if	if	SCONJ
cana-5933	248	2	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	248	3	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	248	4	=	=	X
cana-5933	248	5	{	{	PUNCT
cana-5933	248	6	x	x	NOUN
cana-5933	248	7	,	,	PUNCT
cana-5933	248	8	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	248	9	)	)	PUNCT
cana-5933	248	10	,	,	PUNCT
cana-5933	248	11	𝜇(x	𝜇(x	X
cana-5933	248	12	):	):	PUNCT
cana-5933	248	13	xx	xx	PRON
cana-5933	248	14	}	}	PUNCT
cana-5933	248	15	and	and	CCONJ
cana-5933	248	16	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	248	17	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	248	18	=	=	PUNCT
cana-5933	248	19	{	{	PUNCT
cana-5933	248	20	y	y	PROPN
cana-5933	248	21	,	,	PUNCT
cana-5933	248	22	𝜃𝐴(y	𝜃𝐴(y	PROPN
cana-5933	248	23	)	)	PUNCT
cana-5933	248	24	,	,	PUNCT
cana-5933	248	25	𝜗𝐴(y	𝜗𝐴(y	PROPN
cana-5933	248	26	):	):	PUNCT
cana-5933	248	27	yy	yy	PROPN
cana-5933	248	28	}	}	PUNCT
cana-5933	248	29	are	be	AUX
cana-5933	248	30	two	two	NUM
cana-5933	248	31	also	also	ADV
cana-5933	248	32	intuitionistic	intuitionistic	ADJ
cana-5933	248	33	fuzzy	fuzzy	ADJ
cana-5933	248	34	matrices	matrix	NOUN
cana-5933	248	35	sets	set	NOUN
cana-5933	248	36	over	over	ADP
cana-5933	248	37	different	different	ADJ
cana-5933	248	38	universes	universe	NOUN
cana-5933	248	39	e	e	NOUN
cana-5933	248	40	and	and	CCONJ
cana-5933	248	41	f.	f.	PROPN
cana-5933	248	42	by	by	ADP
cana-5933	248	43	the	the	DET
cana-5933	248	44	definition	definition	NOUN
cana-5933	248	45	of	of	ADP
cana-5933	248	46	𝐴𝐸	𝐴𝐸	X
cana-5933	248	47	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	248	48	=	=	X
cana-5933	248	49	{	{	PUNCT
cana-5933	248	50	x	x	NOUN
cana-5933	248	51	,	,	PUNCT
cana-5933	248	52	πa(x	πa(x	NOUN
cana-5933	248	53	):	):	PUNCT
cana-5933	248	54	xx	xx	PRON
cana-5933	248	55	}	}	PUNCT
cana-5933	248	56	=	=	SYM
cana-5933	248	57	{	{	PUNCT
cana-5933	248	58	x	x	NOUN
cana-5933	248	59	,	,	PUNCT
cana-5933	248	60	πa(x	πa(x	NOUN
cana-5933	248	61	)	)	PUNCT
cana-5933	248	62	,	,	PUNCT
cana-5933	248	63	1	1	NUM
cana-5933	248	64	−	−	PROPN
cana-5933	248	65	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	248	66	):	):	PUNCT
cana-5933	248	67	xx	xx	NUM
cana-5933	248	68	}	}	PUNCT
cana-5933	248	69	and	and	CCONJ
cana-5933	248	70	𝐵𝐹	𝐵𝐹	NUM
cana-5933	248	71	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	248	72	=	=	SYM
cana-5933	248	73	{	{	PUNCT
cana-5933	248	74	y	y	PROPN
cana-5933	248	75	,	,	PUNCT
cana-5933	248	76	𝜃b(y	𝜃b(y	NUM
cana-5933	248	77	):	):	PUNCT
cana-5933	248	78	yy	yy	NOUN
cana-5933	248	79	}	}	PUNCT
cana-5933	248	80	=	=	SYM
cana-5933	248	81	{	{	PUNCT
cana-5933	248	82	y	y	PROPN
cana-5933	248	83	,	,	PUNCT
cana-5933	248	84	𝜃b(y	𝜃b(y	NUM
cana-5933	248	85	)	)	PUNCT
cana-5933	248	86	,	,	PUNCT
cana-5933	249	1	1	1	NUM
cana-5933	249	2	−	−	NOUN
cana-5933	249	3	𝜃𝐵(y	𝜃𝐵(y	NUM
cana-5933	249	4	):	):	PUNCT
cana-5933	249	5	yy	yy	NOUN
cana-5933	249	6	}	}	PUNCT
cana-5933	249	7	𝐴𝐸	𝐴𝐸	PUNCT
cana-5933	249	8	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	249	9	=	=	PUNCT
cana-5933	249	10	(	(	PUNCT
cana-5933	249	11	(	(	PUNCT
cana-5933	249	12	𝜋11	𝜋11	NOUN
cana-5933	249	13	,	,	PUNCT
cana-5933	249	14	1	1	NUM
cana-5933	249	15	−	−	NOUN
cana-5933	249	16	𝜋11	𝜋11	NOUN
cana-5933	249	17	)	)	PUNCT
cana-5933	249	18	(	(	PUNCT
cana-5933	249	19	𝜋12	𝜋12	NOUN
cana-5933	249	20	,	,	PUNCT
cana-5933	249	21	1	1	NUM
cana-5933	249	22	−	−	NOUN
cana-5933	249	23	𝜋12	𝜋12	NOUN
cana-5933	249	24	)	)	PUNCT
cana-5933	249	25	(	(	PUNCT
cana-5933	249	26	𝜋13	𝜋13	ADJ
cana-5933	249	27	,	,	PUNCT
cana-5933	249	28	1	1	NUM
cana-5933	249	29	−	−	NOUN
cana-5933	249	30	𝜋13	𝜋13	NOUN
cana-5933	249	31	)	)	PUNCT
cana-5933	249	32	(	(	PUNCT
cana-5933	249	33	𝜋21	𝜋21	VERB
cana-5933	249	34	,	,	PUNCT
cana-5933	249	35	1	1	NUM
cana-5933	249	36	−	−	NOUN
cana-5933	249	37	𝜋21	𝜋21	PROPN
cana-5933	249	38	)	)	PUNCT
cana-5933	249	39	(	(	PUNCT
cana-5933	249	40	𝜋22	𝜋22	NOUN
cana-5933	249	41	,	,	PUNCT
cana-5933	249	42	1	1	NUM
cana-5933	249	43	−	−	NOUN
cana-5933	249	44	𝜋22	𝜋22	NOUN
cana-5933	249	45	)	)	PUNCT
cana-5933	249	46	(	(	PUNCT
cana-5933	249	47	𝜋23	𝜋23	ADJ
cana-5933	249	48	,	,	PUNCT
cana-5933	249	49	1	1	NUM
cana-5933	249	50	−	−	NOUN
cana-5933	249	51	𝜋23	𝜋23	ADJ
cana-5933	249	52	)	)	PUNCT
cana-5933	249	53	(	(	PUNCT
cana-5933	249	54	𝜋31	𝜋31	PROPN
cana-5933	249	55	,	,	PUNCT
cana-5933	249	56	1	1	NUM
cana-5933	249	57	−	−	NOUN
cana-5933	249	58	𝜋31	𝜋31	NOUN
cana-5933	249	59	)	)	PUNCT
cana-5933	249	60	(	(	PUNCT
cana-5933	249	61	𝜋32	𝜋32	NOUN
cana-5933	249	62	,	,	PUNCT
cana-5933	249	63	1	1	NUM
cana-5933	249	64	−	−	NOUN
cana-5933	249	65	𝜋32	𝜋32	NOUN
cana-5933	249	66	)	)	PUNCT
cana-5933	249	67	(	(	PUNCT
cana-5933	249	68	𝜋33	𝜋33	NOUN
cana-5933	249	69	,	,	PUNCT
cana-5933	249	70	1	1	NUM
cana-5933	249	71	−	−	NOUN
cana-5933	249	72	𝜋33	𝜋33	NOUN
cana-5933	249	73	)	)	PUNCT
cana-5933	249	74	)	)	PUNCT
cana-5933	249	75	and	and	CCONJ
cana-5933	249	76	𝐵𝐹	𝐵𝐹	DET
cana-5933	249	77	̅̅	̅̅	PROPN
cana-5933	249	78	̅̅	̅̅	NOUN
cana-5933	249	79	=	=	PRON
cana-5933	249	80	(	(	PUNCT
cana-5933	249	81	(	(	PUNCT
cana-5933	249	82	𝜃11	𝜃11	ADJ
cana-5933	249	83	,	,	PUNCT
cana-5933	249	84	1	1	NUM
cana-5933	249	85	−	−	NOUN
cana-5933	249	86	𝜃11	𝜃11	NOUN
cana-5933	249	87	)	)	PUNCT
cana-5933	249	88	(	(	PUNCT
cana-5933	249	89	𝜃12	𝜃12	ADJ
cana-5933	249	90	,	,	PUNCT
cana-5933	249	91	1	1	NUM
cana-5933	249	92	−	−	NOUN
cana-5933	249	93	𝜃12	𝜃12	NUM
cana-5933	249	94	)	)	PUNCT
cana-5933	249	95	(	(	PUNCT
cana-5933	249	96	𝜃13	𝜃13	PROPN
cana-5933	249	97	,	,	PUNCT
cana-5933	249	98	1	1	NUM
cana-5933	249	99	−	−	NOUN
cana-5933	249	100	𝜃13	𝜃13	NOUN
cana-5933	249	101	)	)	PUNCT
cana-5933	249	102	(	(	PUNCT
cana-5933	249	103	𝜃21	𝜃21	NOUN
cana-5933	249	104	,	,	PUNCT
cana-5933	249	105	1	1	NUM
cana-5933	249	106	−	−	NOUN
cana-5933	249	107	𝜃21	𝜃21	NOUN
cana-5933	249	108	)	)	PUNCT
cana-5933	249	109	(	(	PUNCT
cana-5933	249	110	𝜃22	𝜃22	ADV
cana-5933	249	111	,	,	PUNCT
cana-5933	249	112	1	1	NUM
cana-5933	249	113	−	−	PROPN
cana-5933	249	114	𝜃22	𝜃22	NOUN
cana-5933	249	115	)	)	PUNCT
cana-5933	249	116	(	(	PUNCT
cana-5933	249	117	𝜃23	𝜃23	PROPN
cana-5933	249	118	,	,	PUNCT
cana-5933	249	119	1	1	NUM
cana-5933	249	120	−	−	PROPN
cana-5933	249	121	𝜃23	𝜃23	NOUN
cana-5933	249	122	)	)	PUNCT
cana-5933	249	123	(	(	PUNCT
cana-5933	249	124	𝜃31	𝜃31	PROPN
cana-5933	249	125	,	,	PUNCT
cana-5933	249	126	1	1	NUM
cana-5933	249	127	−	−	NOUN
cana-5933	249	128	𝜃31	𝜃31	NUM
cana-5933	249	129	)	)	PUNCT
cana-5933	249	130	(	(	PUNCT
cana-5933	249	131	𝜃32	𝜃32	PROPN
cana-5933	249	132	,	,	PUNCT
cana-5933	249	133	1	1	NUM
cana-5933	249	134	−	−	NOUN
cana-5933	249	135	𝜃32	𝜃32	PROPN
cana-5933	249	136	)	)	PUNCT
cana-5933	249	137	(	(	PUNCT
cana-5933	249	138	𝜃33	𝜃33	NOUN
cana-5933	249	139	,	,	PUNCT
cana-5933	249	140	1	1	NUM
cana-5933	249	141	−	−	NOUN
cana-5933	249	142	𝜃33	𝜃33	NOUN
cana-5933	249	143	)	)	PUNCT
cana-5933	249	144	)	)	PUNCT
cana-5933	249	145	now	now	ADV
cana-5933	249	146	applying	apply	VERB
cana-5933	249	147	formula	formula	NOUN
cana-5933	249	148	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	249	149	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	249	150			PROPN
cana-5933	249	151	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	249	152	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	249	153	=	=	X
cana-5933	249	154	{	{	PUNCT
cana-5933	249	155	〈	〈	PROPN
cana-5933	249	156	x	x	PROPN
cana-5933	249	157	,	,	PUNCT
cana-5933	249	158	y	y	PROPN
cana-5933	249	159	〉	〉	NOUN
cana-5933	249	160	,	,	PUNCT
cana-5933	249	161	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	249	162	(	(	PUNCT
cana-5933	249	163	x	x	NOUN
cana-5933	249	164	)	)	PUNCT
cana-5933	249	165	+	+	CCONJ
cana-5933	249	166	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	249	167	(	(	PUNCT
cana-5933	249	168	y	y	NOUN
cana-5933	249	169	)	)	PUNCT
cana-5933	249	170	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	249	171	(	(	PUNCT
cana-5933	249	172	x	x	NOUN
cana-5933	249	173	)	)	PUNCT
cana-5933	249	174	.	.	PUNCT
cana-5933	250	1	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	250	2	(	(	PUNCT
cana-5933	250	3	y	y	NOUN
cana-5933	250	4	)	)	PUNCT
cana-5933	250	5	,	,	PUNCT
cana-5933	250	6	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	250	7	̅̅	̅̅	NOUN
cana-5933	250	8	̅(x	̅(x	NOUN
cana-5933	250	9	)	)	PUNCT
cana-5933	250	10	∙	∙	PROPN
cana-5933	250	11	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	250	12	̅̅	̅̅	NOUN
cana-5933	250	13	̅	̅	NOUN
cana-5933	250	14	(	(	PUNCT
cana-5933	250	15	y	y	NOUN
cana-5933	250	16	):	):	PUNCT
cana-5933	250	17	xe	xe	PROPN
cana-5933	250	18	,	,	PUNCT
cana-5933	250	19	y𝐹	y𝐹	PROPN
cana-5933	250	20	}	}	PUNCT
cana-5933	250	21	,	,	PUNCT
cana-5933	250	22	we	we	PRON
cana-5933	250	23	have	have	VERB
cana-5933	250	24	,	,	PUNCT
cana-5933	250	25			PROPN
cana-5933	250	26	�	�	NOUN
cana-5933	250	27	̅	̅	NOUN
cana-5933	250	28	�	�	NOUN
cana-5933	250	29	𝐸	𝐸	ADJ
cana-5933	250	30	+	+	NUM
cana-5933	250	31			PROPN
cana-5933	250	32	�	�	PROPN
cana-5933	250	33	̅	̅	NOUN
cana-5933	250	34	�	�	NOUN
cana-5933	250	35	𝐹	𝐹	NOUN
cana-5933	250	36	=	=	PUNCT
cana-5933	250	37	(	(	PUNCT
cana-5933	250	38	(	(	PUNCT
cana-5933	250	39	𝜋11	𝜋11	NOUN
cana-5933	250	40	,	,	PUNCT
cana-5933	250	41	1	1	NUM
cana-5933	250	42	−	−	NOUN
cana-5933	250	43	𝜋11	𝜋11	NOUN
cana-5933	250	44	)	)	PUNCT
cana-5933	250	45	(	(	PUNCT
cana-5933	250	46	𝜋12	𝜋12	NOUN
cana-5933	250	47	,	,	PUNCT
cana-5933	250	48	1	1	NUM
cana-5933	250	49	−	−	NOUN
cana-5933	250	50	𝜋12	𝜋12	NOUN
cana-5933	250	51	)	)	PUNCT
cana-5933	250	52	(	(	PUNCT
cana-5933	250	53	𝜋13	𝜋13	ADJ
cana-5933	250	54	,	,	PUNCT
cana-5933	250	55	1	1	NUM
cana-5933	250	56	−	−	NOUN
cana-5933	250	57	𝜋13	𝜋13	NOUN
cana-5933	250	58	)	)	PUNCT
cana-5933	250	59	(	(	PUNCT
cana-5933	250	60	𝜋21	𝜋21	VERB
cana-5933	250	61	,	,	PUNCT
cana-5933	250	62	1	1	NUM
cana-5933	250	63	−	−	NOUN
cana-5933	250	64	𝜋21	𝜋21	PROPN
cana-5933	250	65	)	)	PUNCT
cana-5933	250	66	(	(	PUNCT
cana-5933	250	67	𝜋22	𝜋22	NOUN
cana-5933	250	68	,	,	PUNCT
cana-5933	250	69	1	1	NUM
cana-5933	250	70	−	−	NOUN
cana-5933	250	71	𝜋22	𝜋22	NOUN
cana-5933	250	72	)	)	PUNCT
cana-5933	250	73	(	(	PUNCT
cana-5933	250	74	𝜋23	𝜋23	ADJ
cana-5933	250	75	,	,	PUNCT
cana-5933	250	76	1	1	NUM
cana-5933	250	77	−	−	NOUN
cana-5933	250	78	𝜋23	𝜋23	ADJ
cana-5933	250	79	)	)	PUNCT
cana-5933	250	80	(	(	PUNCT
cana-5933	250	81	𝜋31	𝜋31	PROPN
cana-5933	250	82	,	,	PUNCT
cana-5933	250	83	1	1	NUM
cana-5933	250	84	−	−	NOUN
cana-5933	250	85	𝜋31	𝜋31	NOUN
cana-5933	250	86	)	)	PUNCT
cana-5933	250	87	(	(	PUNCT
cana-5933	250	88	𝜋32	𝜋32	NOUN
cana-5933	250	89	,	,	PUNCT
cana-5933	250	90	1	1	NUM
cana-5933	250	91	−	−	NOUN
cana-5933	250	92	𝜋32	𝜋32	NOUN
cana-5933	250	93	)	)	PUNCT
cana-5933	250	94	(	(	PUNCT
cana-5933	250	95	𝜋33	𝜋33	NOUN
cana-5933	250	96	,	,	PUNCT
cana-5933	250	97	1	1	NUM
cana-5933	250	98	−	−	NOUN
cana-5933	250	99	𝜋33	𝜋33	NOUN
cana-5933	250	100	)	)	PUNCT
cana-5933	250	101	)	)	PUNCT
cana-5933	251	1	+	+	CCONJ
cana-5933	251	2	communications	communication	NOUN
cana-5933	251	3	on	on	ADP
cana-5933	251	4	applied	apply	VERB
cana-5933	251	5	nonlinear	nonlinear	ADJ
cana-5933	251	6	analysis	analysis	NOUN
cana-5933	251	7	issn	issn	NOUN
cana-5933	251	8	:	:	PUNCT
cana-5933	251	9	1074	1074	NUM
cana-5933	251	10	-	-	PUNCT
cana-5933	251	11	133x	133x	NUM
cana-5933	251	12	vol	vol	VERB
cana-5933	251	13	32	32	NUM
cana-5933	251	14	no	no	NOUN
cana-5933	251	15	.	.	PUNCT
cana-5933	252	1	10s	10	NOUN
cana-5933	252	2	(	(	PUNCT
cana-5933	252	3	2025	2025	NUM
cana-5933	252	4	)	)	PUNCT
cana-5933	252	5	3147	3147	NUM
cana-5933	252	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	252	7	(	(	PUNCT
cana-5933	252	8	(	(	PUNCT
cana-5933	252	9	𝜃11	𝜃11	ADJ
cana-5933	252	10	,	,	PUNCT
cana-5933	252	11	1	1	NUM
cana-5933	252	12	−	−	NOUN
cana-5933	252	13	𝜃11	𝜃11	NOUN
cana-5933	252	14	)	)	PUNCT
cana-5933	252	15	(	(	PUNCT
cana-5933	252	16	𝜃12	𝜃12	ADJ
cana-5933	252	17	,	,	PUNCT
cana-5933	252	18	1	1	NUM
cana-5933	252	19	−	−	NOUN
cana-5933	252	20	𝜃12	𝜃12	NUM
cana-5933	252	21	)	)	PUNCT
cana-5933	252	22	(	(	PUNCT
cana-5933	252	23	𝜃13	𝜃13	PROPN
cana-5933	252	24	,	,	PUNCT
cana-5933	252	25	1	1	NUM
cana-5933	252	26	−	−	NOUN
cana-5933	252	27	𝜃13	𝜃13	NOUN
cana-5933	252	28	)	)	PUNCT
cana-5933	252	29	(	(	PUNCT
cana-5933	252	30	𝜃21	𝜃21	NOUN
cana-5933	252	31	,	,	PUNCT
cana-5933	252	32	1	1	NUM
cana-5933	252	33	−	−	NOUN
cana-5933	252	34	𝜃21	𝜃21	NOUN
cana-5933	252	35	)	)	PUNCT
cana-5933	252	36	(	(	PUNCT
cana-5933	252	37	𝜃22	𝜃22	ADV
cana-5933	252	38	,	,	PUNCT
cana-5933	252	39	1	1	NUM
cana-5933	252	40	−	−	PROPN
cana-5933	252	41	𝜃22	𝜃22	NOUN
cana-5933	252	42	)	)	PUNCT
cana-5933	252	43	(	(	PUNCT
cana-5933	252	44	𝜃23	𝜃23	PROPN
cana-5933	252	45	,	,	PUNCT
cana-5933	252	46	1	1	NUM
cana-5933	252	47	−	−	PROPN
cana-5933	252	48	𝜃23	𝜃23	NOUN
cana-5933	252	49	)	)	PUNCT
cana-5933	252	50	(	(	PUNCT
cana-5933	252	51	𝜃31	𝜃31	PROPN
cana-5933	252	52	,	,	PUNCT
cana-5933	252	53	1	1	NUM
cana-5933	252	54	−	−	NOUN
cana-5933	252	55	𝜃31	𝜃31	NUM
cana-5933	252	56	)	)	PUNCT
cana-5933	252	57	(	(	PUNCT
cana-5933	252	58	𝜃32	𝜃32	PROPN
cana-5933	252	59	,	,	PUNCT
cana-5933	252	60	1	1	NUM
cana-5933	252	61	−	−	NOUN
cana-5933	252	62	𝜃32	𝜃32	PROPN
cana-5933	252	63	)	)	PUNCT
cana-5933	252	64	(	(	PUNCT
cana-5933	252	65	𝜃33	𝜃33	NOUN
cana-5933	252	66	,	,	PUNCT
cana-5933	252	67	1	1	NUM
cana-5933	252	68	−	−	NOUN
cana-5933	252	69	𝜃33	𝜃33	NOUN
cana-5933	252	70	)	)	PUNCT
cana-5933	252	71	)	)	PUNCT
cana-5933	253	1	where	where	SCONJ
cana-5933	253	2	,	,	PUNCT
cana-5933	253	3	𝑋11	𝑋11	PROPN
cana-5933	253	4	=	=	PUNCT
cana-5933	253	5	(	(	PUNCT
cana-5933	253	6	(	(	PUNCT
cana-5933	253	7	𝜋11	𝜋11	NOUN
cana-5933	253	8	,	,	PUNCT
cana-5933	253	9	1	1	NUM
cana-5933	253	10	−	−	NOUN
cana-5933	253	11	𝜋11	𝜋11	NOUN
cana-5933	253	12	)	)	PUNCT
cana-5933	253	13	+	+	CCONJ
cana-5933	253	14	(	(	PUNCT
cana-5933	253	15	𝜃11	𝜃11	ADJ
cana-5933	253	16	,	,	PUNCT
cana-5933	253	17	1	1	NUM
cana-5933	253	18	−	−	NOUN
cana-5933	253	19	𝜃11	𝜃11	NOUN
cana-5933	253	20	)	)	PUNCT
cana-5933	253	21	)	)	PUNCT
cana-5933	253	22	,	,	PUNCT
cana-5933	253	23	𝑋12=	𝑋12=	PROPN
cana-5933	253	24	(	(	PUNCT
cana-5933	253	25	(	(	PUNCT
cana-5933	253	26	𝜋12	𝜋12	NOUN
cana-5933	253	27	,	,	PUNCT
cana-5933	253	28	1	1	NUM
cana-5933	253	29	−	−	NOUN
cana-5933	253	30	𝜋12	𝜋12	NOUN
cana-5933	253	31	)	)	PUNCT
cana-5933	253	32	+	+	CCONJ
cana-5933	253	33	(	(	PUNCT
cana-5933	253	34	𝜃21	𝜃21	ADJ
cana-5933	253	35	,	,	PUNCT
cana-5933	253	36	1	1	NUM
cana-5933	253	37	−	−	NOUN
cana-5933	253	38	𝜃21	𝜃21	NOUN
cana-5933	253	39	)	)	PUNCT
cana-5933	253	40	)	)	PUNCT
cana-5933	254	1	𝑋13=	𝑋13=	PROPN
cana-5933	254	2	(	(	PUNCT
cana-5933	254	3	(	(	PUNCT
cana-5933	254	4	𝜋13	𝜋13	ADJ
cana-5933	254	5	,	,	PUNCT
cana-5933	254	6	1	1	NUM
cana-5933	254	7	−	−	NOUN
cana-5933	254	8	𝜋13	𝜋13	NOUN
cana-5933	254	9	)	)	PUNCT
cana-5933	255	1	+	+	CCONJ
cana-5933	255	2	(	(	PUNCT
cana-5933	255	3	𝜃31	𝜃31	PROPN
cana-5933	255	4	,	,	PUNCT
cana-5933	255	5	1	1	NUM
cana-5933	255	6	−	−	NOUN
cana-5933	255	7	𝜃31	𝜃31	NUM
cana-5933	255	8	)	)	PUNCT
cana-5933	255	9	)	)	PUNCT
cana-5933	255	10	,	,	PUNCT
cana-5933	255	11	𝑋21=	𝑋21=	X
cana-5933	255	12	(	(	PUNCT
cana-5933	255	13	(	(	PUNCT
cana-5933	255	14	𝜋21	𝜋21	VERB
cana-5933	255	15	,	,	PUNCT
cana-5933	255	16	1	1	NUM
cana-5933	255	17	−	−	NOUN
cana-5933	255	18	𝜋21	𝜋21	PROPN
cana-5933	255	19	)	)	PUNCT
cana-5933	256	1	+	+	CCONJ
cana-5933	256	2	(	(	PUNCT
cana-5933	256	3	𝜃12	𝜃12	ADJ
cana-5933	256	4	,	,	PUNCT
cana-5933	256	5	1	1	NUM
cana-5933	256	6	−	−	NOUN
cana-5933	256	7	𝜃12	𝜃12	NUM
cana-5933	256	8	)	)	PUNCT
cana-5933	256	9	)	)	PUNCT
cana-5933	257	1	𝑋22=	𝑋22=	PROPN
cana-5933	257	2	(	(	PUNCT
cana-5933	257	3	(	(	PUNCT
cana-5933	257	4	𝜋22	𝜋22	NOUN
cana-5933	257	5	,	,	PUNCT
cana-5933	257	6	1	1	NUM
cana-5933	257	7	−	−	NOUN
cana-5933	257	8	𝜋22	𝜋22	NOUN
cana-5933	257	9	)	)	PUNCT
cana-5933	257	10	+	+	CCONJ
cana-5933	257	11	(	(	PUNCT
cana-5933	257	12	𝜃22	𝜃22	ADJ
cana-5933	257	13	,	,	PUNCT
cana-5933	257	14	1	1	NUM
cana-5933	257	15	−	−	NOUN
cana-5933	257	16	𝜃22	𝜃22	NOUN
cana-5933	257	17	)	)	PUNCT
cana-5933	257	18	)	)	PUNCT
cana-5933	257	19	,	,	PUNCT
cana-5933	257	20	𝑋23=	𝑋23=	X
cana-5933	257	21	(	(	PUNCT
cana-5933	257	22	(	(	PUNCT
cana-5933	257	23	𝜋23	𝜋23	ADJ
cana-5933	257	24	,	,	PUNCT
cana-5933	257	25	1	1	NUM
cana-5933	257	26	−	−	NOUN
cana-5933	257	27	𝜋23	𝜋23	ADJ
cana-5933	257	28	)	)	PUNCT
cana-5933	257	29	+	+	CCONJ
cana-5933	257	30	(	(	PUNCT
cana-5933	257	31	𝜃32	𝜃32	ADJ
cana-5933	257	32	,	,	PUNCT
cana-5933	257	33	1	1	NUM
cana-5933	257	34	−	−	NOUN
cana-5933	257	35	𝜃32	𝜃32	NOUN
cana-5933	257	36	)	)	PUNCT
cana-5933	257	37	)	)	PUNCT
cana-5933	257	38	𝑋31=	𝑋31=	ADP
cana-5933	257	39	(	(	PUNCT
cana-5933	257	40	(	(	PUNCT
cana-5933	257	41	𝜋31	𝜋31	PROPN
cana-5933	257	42	,	,	PUNCT
cana-5933	257	43	1	1	NUM
cana-5933	257	44	−	−	NOUN
cana-5933	257	45	𝜋31	𝜋31	NOUN
cana-5933	257	46	)	)	PUNCT
cana-5933	258	1	+	+	CCONJ
cana-5933	258	2	(	(	PUNCT
cana-5933	258	3	𝜃13	𝜃13	NOUN
cana-5933	258	4	,	,	PUNCT
cana-5933	258	5	1	1	NUM
cana-5933	258	6	−	−	NOUN
cana-5933	258	7	𝜃13	𝜃13	NOUN
cana-5933	258	8	)	)	PUNCT
cana-5933	258	9	)	)	PUNCT
cana-5933	258	10	,	,	PUNCT
cana-5933	258	11	𝑋32=	𝑋32=	X
cana-5933	258	12	(	(	PUNCT
cana-5933	258	13	(	(	PUNCT
cana-5933	258	14	𝜋32	𝜋32	NOUN
cana-5933	258	15	,	,	PUNCT
cana-5933	258	16	1	1	NUM
cana-5933	258	17	−	−	NOUN
cana-5933	258	18	𝜋32	𝜋32	NOUN
cana-5933	258	19	)	)	PUNCT
cana-5933	259	1	+	+	CCONJ
cana-5933	259	2	(	(	PUNCT
cana-5933	259	3	𝜃23	𝜃23	PROPN
cana-5933	259	4	,	,	PUNCT
cana-5933	259	5	1	1	NUM
cana-5933	259	6	−	−	PROPN
cana-5933	259	7	𝜃23	𝜃23	NOUN
cana-5933	259	8	)	)	PUNCT
cana-5933	259	9	)	)	PUNCT
cana-5933	259	10	𝑋33=	𝑋33=	NOUN
cana-5933	259	11	(	(	PUNCT
cana-5933	259	12	(	(	PUNCT
cana-5933	259	13	𝜋33	𝜋33	NOUN
cana-5933	259	14	,	,	PUNCT
cana-5933	259	15	1	1	NUM
cana-5933	259	16	−	−	NOUN
cana-5933	259	17	𝜋33	𝜋33	NOUN
cana-5933	259	18	)	)	PUNCT
cana-5933	259	19	+	+	CCONJ
cana-5933	259	20	(	(	PUNCT
cana-5933	259	21	𝜃33	𝜃33	NOUN
cana-5933	259	22	,	,	PUNCT
cana-5933	259	23	1	1	NUM
cana-5933	259	24	−	−	NOUN
cana-5933	259	25	𝜃33	𝜃33	NOUN
cana-5933	259	26	)	)	PUNCT
cana-5933	259	27	)	)	PUNCT
cana-5933	259	28	now	now	ADV
cana-5933	259	29	applying	apply	VERB
cana-5933	259	30	the	the	DET
cana-5933	259	31	formula	formula	NOUN
cana-5933	259	32	,	,	PUNCT
cana-5933	259	33	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	259	34	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	259	35			PROPN
cana-5933	259	36	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	259	37	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	259	38	=	=	X
cana-5933	259	39	{	{	PUNCT
cana-5933	259	40	〈	〈	PROPN
cana-5933	259	41	x	x	PROPN
cana-5933	259	42	,	,	PUNCT
cana-5933	259	43	y	y	PROPN
cana-5933	259	44	〉	〉	NOUN
cana-5933	259	45	,	,	PUNCT
cana-5933	259	46	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	259	47	(	(	PUNCT
cana-5933	259	48	x	x	NOUN
cana-5933	259	49	)	)	PUNCT
cana-5933	259	50	+	+	CCONJ
cana-5933	259	51	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	259	52	(	(	PUNCT
cana-5933	259	53	y	y	NOUN
cana-5933	259	54	)	)	PUNCT
cana-5933	259	55	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	259	56	(	(	PUNCT
cana-5933	259	57	x	x	NOUN
cana-5933	259	58	)	)	PUNCT
cana-5933	259	59	.	.	PUNCT
cana-5933	260	1	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	260	2	(	(	PUNCT
cana-5933	260	3	y	y	NOUN
cana-5933	260	4	)	)	PUNCT
cana-5933	260	5	,	,	PUNCT
cana-5933	260	6	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	260	7	̅̅	̅̅	NOUN
cana-5933	260	8	̅(x	̅(x	NOUN
cana-5933	260	9	)	)	PUNCT
cana-5933	260	10	∙	∙	PROPN
cana-5933	260	11	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	260	12	̅̅	̅̅	NOUN
cana-5933	260	13	̅	̅	NOUN
cana-5933	260	14	(	(	PUNCT
cana-5933	260	15	y	y	NOUN
cana-5933	260	16	):	):	PUNCT
cana-5933	260	17	xe	xe	PROPN
cana-5933	260	18	,	,	PUNCT
cana-5933	260	19	y𝐹	y𝐹	PROPN
cana-5933	260	20	}	}	PUNCT
cana-5933	260	21	𝑋11=	𝑋11=	NOUN
cana-5933	260	22	(	(	PUNCT
cana-5933	260	23	𝜋11(x	𝜋11(x	NOUN
cana-5933	260	24	)	)	PUNCT
cana-5933	260	25	+	+	CCONJ
cana-5933	260	26	𝜃11(y	𝜃11(y	ADJ
cana-5933	260	27	)	)	PUNCT
cana-5933	260	28	𝜋11(x	𝜋11(x	NOUN
cana-5933	260	29	)	)	PUNCT
cana-5933	260	30	.	.	PUNCT
cana-5933	261	1	𝜃11(y	𝜃11(y	VERB
cana-5933	261	2	)	)	PUNCT
cana-5933	261	3	,	,	PUNCT
cana-5933	261	4	1	1	NUM
cana-5933	261	5	−	−	NOUN
cana-5933	261	6	𝜋11(x	𝜋11(x	NOUN
cana-5933	261	7	)	)	PUNCT
cana-5933	261	8	.	.	PUNCT
cana-5933	262	1	1	1	NUM
cana-5933	262	2	−	−	NOUN
cana-5933	262	3	𝜃11(y	𝜃11(y	NUM
cana-5933	262	4	)	)	PUNCT
cana-5933	262	5	)	)	PUNCT
cana-5933	262	6	𝑋12=	𝑋12=	PROPN
cana-5933	262	7	(	(	PUNCT
cana-5933	262	8	𝜋12(x	𝜋12(x	PROPN
cana-5933	262	9	)	)	PUNCT
cana-5933	262	10	+	+	NUM
cana-5933	262	11	𝜃21(y	𝜃21(y	PROPN
cana-5933	262	12	)	)	PUNCT
cana-5933	262	13	𝜋12(x	𝜋12(x	PROPN
cana-5933	262	14	)	)	PUNCT
cana-5933	262	15	.	.	PUNCT
cana-5933	263	1	𝜃21(y	𝜃21(y	PROPN
cana-5933	263	2	)	)	PUNCT
cana-5933	263	3	,	,	PUNCT
cana-5933	263	4	1	1	NUM
cana-5933	263	5	−	−	PROPN
cana-5933	263	6	𝜋12(x	𝜋12(x	PROPN
cana-5933	263	7	)	)	PUNCT
cana-5933	263	8	.	.	PUNCT
cana-5933	264	1	1	1	NUM
cana-5933	264	2	−	−	PROPN
cana-5933	264	3	𝜃21(y	𝜃21(y	PROPN
cana-5933	264	4	)	)	PUNCT
cana-5933	264	5	)	)	PUNCT
cana-5933	265	1	𝑋13=	𝑋13=	PROPN
cana-5933	265	2	(	(	PUNCT
cana-5933	265	3	𝜋13(x	𝜋13(x	NOUN
cana-5933	265	4	)	)	PUNCT
cana-5933	265	5	+	+	SYM
cana-5933	265	6	𝜃31(y	𝜃31(y	ADJ
cana-5933	265	7	)	)	PUNCT
cana-5933	265	8	𝜋13(x	𝜋13(x	NOUN
cana-5933	265	9	)	)	PUNCT
cana-5933	265	10	.	.	PUNCT
cana-5933	266	1	𝜃31(y	𝜃31(y	PROPN
cana-5933	266	2	)	)	PUNCT
cana-5933	266	3	,	,	PUNCT
cana-5933	266	4	1	1	NUM
cana-5933	266	5	−	−	PROPN
cana-5933	266	6	𝜋13(x	𝜋13(x	NOUN
cana-5933	266	7	)	)	PUNCT
cana-5933	266	8	.	.	PUNCT
cana-5933	267	1	1	1	NUM
cana-5933	267	2	−	−	NOUN
cana-5933	267	3	𝜃31(y	𝜃31(y	NUM
cana-5933	267	4	)	)	PUNCT
cana-5933	267	5	)	)	PUNCT
cana-5933	267	6	𝑋21=	𝑋21=	NOUN
cana-5933	267	7	(	(	PUNCT
cana-5933	267	8	𝜋21(x	𝜋21(x	NOUN
cana-5933	267	9	)	)	PUNCT
cana-5933	267	10	+	+	CCONJ
cana-5933	267	11	𝜃12(y	𝜃12(y	ADV
cana-5933	267	12	)	)	PUNCT
cana-5933	267	13	𝜋21(x	𝜋21(x	NUM
cana-5933	267	14	)	)	PUNCT
cana-5933	267	15	.	.	PUNCT
cana-5933	268	1	𝜃12(y	𝜃12(y	ADV
cana-5933	268	2	)	)	PUNCT
cana-5933	269	1	,	,	PUNCT
cana-5933	269	2	1	1	NUM
cana-5933	269	3	−	−	NOUN
cana-5933	269	4	𝜋21(x	𝜋21(x	NUM
cana-5933	269	5	)	)	PUNCT
cana-5933	269	6	.	.	PUNCT
cana-5933	270	1	1	1	NUM
cana-5933	270	2	−	−	NOUN
cana-5933	270	3	𝜃12(y	𝜃12(y	ADJ
cana-5933	270	4	)	)	PUNCT
cana-5933	270	5	)	)	PUNCT
cana-5933	270	6	𝑋22=	𝑋22=	NOUN
cana-5933	270	7	(	(	PUNCT
cana-5933	270	8	𝜋22(x	𝜋22(x	NOUN
cana-5933	270	9	)	)	PUNCT
cana-5933	270	10	+	+	SYM
cana-5933	270	11	𝜃22(y	𝜃22(y	NOUN
cana-5933	270	12	)	)	PUNCT
cana-5933	270	13	𝜋22(x	𝜋22(x	NOUN
cana-5933	270	14	)	)	PUNCT
cana-5933	270	15	.	.	PUNCT
cana-5933	271	1	𝜃22(y	𝜃22(y	ADV
cana-5933	271	2	)	)	PUNCT
cana-5933	272	1	,	,	PUNCT
cana-5933	272	2	1	1	NUM
cana-5933	272	3	−	−	NOUN
cana-5933	272	4	𝜋22(x	𝜋22(x	NOUN
cana-5933	272	5	)	)	PUNCT
cana-5933	272	6	.	.	PUNCT
cana-5933	273	1	1	1	NUM
cana-5933	273	2	−	−	NOUN
cana-5933	273	3	𝜃22(y	𝜃22(y	NOUN
cana-5933	273	4	)	)	PUNCT
cana-5933	273	5	)	)	PUNCT
cana-5933	273	6	𝑋23=	𝑋23=	NOUN
cana-5933	273	7	(	(	PUNCT
cana-5933	273	8	𝜋23(x	𝜋23(x	NOUN
cana-5933	273	9	)	)	PUNCT
cana-5933	273	10	+	+	CCONJ
cana-5933	273	11	𝜃32(y	𝜃32(y	ADJ
cana-5933	273	12	)	)	PUNCT
cana-5933	273	13	𝜋23(x	𝜋23(x	NOUN
cana-5933	273	14	)	)	PUNCT
cana-5933	273	15	.	.	PUNCT
cana-5933	274	1	𝜃32(y	𝜃32(y	ADJ
cana-5933	274	2	)	)	PUNCT
cana-5933	274	3	,	,	PUNCT
cana-5933	274	4	1	1	NUM
cana-5933	274	5	−	−	PROPN
cana-5933	274	6	𝜋23(x	𝜋23(x	NOUN
cana-5933	274	7	)	)	PUNCT
cana-5933	274	8	.	.	PUNCT
cana-5933	275	1	1	1	NUM
cana-5933	275	2	−	−	NOUN
cana-5933	275	3	𝜃32(y	𝜃32(y	NOUN
cana-5933	275	4	)	)	PUNCT
cana-5933	275	5	)	)	PUNCT
cana-5933	275	6	𝑋31=	𝑋31=	ADP
cana-5933	275	7	(	(	PUNCT
cana-5933	275	8	𝜋31(x	𝜋31(x	NOUN
cana-5933	275	9	)	)	PUNCT
cana-5933	275	10	+	+	NUM
cana-5933	275	11	𝜃13(y	𝜃13(y	NOUN
cana-5933	275	12	)	)	PUNCT
cana-5933	275	13	𝜋31(x	𝜋31(x	NOUN
cana-5933	275	14	)	)	PUNCT
cana-5933	275	15	.	.	PUNCT
cana-5933	276	1	𝜃13(y	𝜃13(y	NOUN
cana-5933	276	2	)	)	PUNCT
cana-5933	276	3	,	,	PUNCT
cana-5933	276	4	1	1	NUM
cana-5933	276	5	−	−	NOUN
cana-5933	276	6	𝜋31(x	𝜋31(x	NOUN
cana-5933	276	7	)	)	PUNCT
cana-5933	276	8	.	.	PUNCT
cana-5933	277	1	1	1	NUM
cana-5933	277	2	−	−	NOUN
cana-5933	277	3	𝜃13(y	𝜃13(y	NOUN
cana-5933	277	4	)	)	PUNCT
cana-5933	277	5	)	)	PUNCT
cana-5933	277	6	𝑋32=	𝑋32=	NOUN
cana-5933	277	7	(	(	PUNCT
cana-5933	277	8	𝜋32(x	𝜋32(x	NOUN
cana-5933	277	9	)	)	PUNCT
cana-5933	277	10	+	+	CCONJ
cana-5933	277	11	𝜃23(y	𝜃23(y	ADJ
cana-5933	277	12	)	)	PUNCT
cana-5933	277	13	𝜋32(x	𝜋32(x	NOUN
cana-5933	277	14	)	)	PUNCT
cana-5933	277	15	.	.	PUNCT
cana-5933	278	1	𝜃23(y	𝜃23(y	PROPN
cana-5933	278	2	)	)	PUNCT
cana-5933	278	3	,	,	PUNCT
cana-5933	278	4	1	1	NUM
cana-5933	278	5	−	−	PROPN
cana-5933	278	6	𝜋32(x	𝜋32(x	NOUN
cana-5933	278	7	)	)	PUNCT
cana-5933	278	8	.	.	PUNCT
cana-5933	279	1	1	1	NUM
cana-5933	279	2	−	−	NOUN
cana-5933	279	3	𝜃23(y	𝜃23(y	NOUN
cana-5933	279	4	)	)	PUNCT
cana-5933	279	5	)	)	PUNCT
cana-5933	279	6	𝑋33=	𝑋33=	NOUN
cana-5933	279	7	(	(	PUNCT
cana-5933	279	8	𝜋33(x	𝜋33(x	NOUN
cana-5933	279	9	)	)	PUNCT
cana-5933	279	10	+	+	CCONJ
cana-5933	279	11	𝜃33(y	𝜃33(y	NOUN
cana-5933	279	12	)	)	PUNCT
cana-5933	279	13	𝜋33(x	𝜋33(x	NOUN
cana-5933	279	14	)	)	PUNCT
cana-5933	279	15	.	.	PUNCT
cana-5933	280	1	𝜃33(y	𝜃33(y	PROPN
cana-5933	280	2	)	)	PUNCT
cana-5933	280	3	,	,	PUNCT
cana-5933	280	4	1	1	NUM
cana-5933	280	5	−	−	PROPN
cana-5933	280	6	𝜋33(x	𝜋33(x	NOUN
cana-5933	280	7	)	)	PUNCT
cana-5933	280	8	.	.	PUNCT
cana-5933	281	1	1	1	NUM
cana-5933	281	2	−	−	NOUN
cana-5933	281	3	𝜃33(y	𝜃33(y	NOUN
cana-5933	281	4	)	)	PUNCT
cana-5933	281	5	)	)	PUNCT
cana-5933	281	6	we	we	PRON
cana-5933	281	7	have	have	AUX
cana-5933	281	8	,	,	PUNCT
cana-5933	281	9			PROPN
cana-5933	281	10	�	�	PROPN
cana-5933	281	11	̅	̅	NOUN
cana-5933	281	12	�	�	NOUN
cana-5933	281	13	𝐸	𝐸	ADJ
cana-5933	281	14			ADJ
cana-5933	281	15			PROPN
cana-5933	281	16	�	�	PROPN
cana-5933	281	17	̅	̅	NOUN
cana-5933	281	18	�	�	NOUN
cana-5933	281	19	𝐹	𝐹	NOUN
cana-5933	281	20	=	=	PUNCT
cana-5933	281	21	(	(	PUNCT
cana-5933	281	22	𝑋11	𝑋11	PROPN
cana-5933	281	23	𝑋12	𝑋12	PROPN
cana-5933	281	24	𝑋13	𝑋13	PROPN
cana-5933	282	1	𝑋21	𝑋21	PROPN
cana-5933	282	2	𝑋22	𝑋22	VERB
cana-5933	282	3	𝑋23	𝑋23	PROPN
cana-5933	282	4	𝑋31	𝑋31	PROPN
cana-5933	282	5	𝑋32	𝑋32	PROPN
cana-5933	282	6	𝑋33	𝑋33	PROPN
cana-5933	282	7	)	)	PUNCT
cana-5933	282	8	is	be	AUX
cana-5933	282	9	also	also	ADV
cana-5933	282	10	intuitionistic	intuitionistic	ADJ
cana-5933	282	11	fuzzy	fuzzy	ADJ
cana-5933	282	12	matrix	matrix	NOUN
cana-5933	282	13	set	set	NOUN
cana-5933	282	14	.	.	PUNCT
cana-5933	283	1	theorem	theorem	VERB
cana-5933	283	2	6.7.4	6.7.4	NUM
cana-5933	283	3	:	:	PUNCT
cana-5933	283	4	if	if	SCONJ
cana-5933	283	5	e	e	PROPN
cana-5933	283	6	and	and	CCONJ
cana-5933	283	7	f	f	PROPN
cana-5933	283	8	be	be	AUX
cana-5933	283	9	two	two	NUM
cana-5933	283	10	universal	universal	ADJ
cana-5933	283	11	sets	set	NOUN
cana-5933	283	12	.	.	PUNCT
cana-5933	284	1	for	for	ADP
cana-5933	284	2	every	every	DET
cana-5933	284	3	necessity	necessity	NOUN
cana-5933	284	4	function	function	NOUN
cana-5933	284	5	of	of	ADP
cana-5933	284	6	intuitionistic	intuitionistic	ADJ
cana-5933	284	7	fuzzy	fuzzy	ADJ
cana-5933	284	8	matrix	matrix	NOUN
cana-5933	284	9	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	284	10	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	284	11	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-5933	284	12	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	284	13	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	284	14	are	be	AUX
cana-5933	284	15	intuitionistic	intuitionistic	ADJ
cana-5933	284	16	fuzzy	fuzzy	ADJ
cana-5933	284	17	matrix	matrix	NOUN
cana-5933	284	18	in	in	ADP
cana-5933	284	19	e	e	PROPN
cana-5933	284	20	and	and	CCONJ
cana-5933	284	21	f	f	PROPN
cana-5933	284	22	then	then	ADV
cana-5933	284	23			PROPN
cana-5933	284	24	�	�	PROPN
cana-5933	284	25	̅	̅	NOUN
cana-5933	284	26	�	�	NOUN
cana-5933	284	27	𝐸	𝐸	PROPN
cana-5933	284	28			PROPN
cana-5933	284	29			PROPN
cana-5933	284	30	�	�	PROPN
cana-5933	284	31	̅	̅	NOUN
cana-5933	284	32	�	�	NOUN
cana-5933	284	33	𝐹	𝐹	PROPN
cana-5933	284	34	is	be	AUX
cana-5933	284	35	also	also	ADV
cana-5933	284	36	necessity	necessity	NOUN
cana-5933	284	37	function	function	NOUN
cana-5933	284	38	of	of	ADP
cana-5933	284	39	intuitionistic	intuitionistic	ADJ
cana-5933	284	40	fuzzy	fuzzy	ADJ
cana-5933	284	41	matrix	matrix	NOUN
cana-5933	284	42	.	.	PUNCT
cana-5933	285	1	proof	proof	NOUN
cana-5933	285	2	:	:	PUNCT
cana-5933	285	3	if	if	SCONJ
cana-5933	285	4	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	285	5	and	and	CCONJ
cana-5933	285	6	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	285	7	are	be	AUX
cana-5933	285	8	two	two	NUM
cana-5933	285	9	intuitionistic	intuitionistic	ADJ
cana-5933	285	10	fuzzy	fuzzy	ADJ
cana-5933	285	11	matrices	matrix	NOUN
cana-5933	285	12	sets	set	NOUN
cana-5933	285	13	over	over	ADP
cana-5933	285	14	different	different	ADJ
cana-5933	285	15	universes	universe	NOUN
cana-5933	285	16	e	e	PROPN
cana-5933	285	17	&	&	CCONJ
cana-5933	285	18	f	f	PROPN
cana-5933	285	19	and	and	CCONJ
cana-5933	285	20	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	285	21	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	285	22	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5933	285	23	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	285	24	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	285	25	are	be	AUX
cana-5933	285	26	also	also	ADV
cana-5933	285	27	intuitionistic	intuitionistic	ADJ
cana-5933	285	28	fuzzy	fuzzy	ADJ
cana-5933	285	29	matrices	matrix	NOUN
cana-5933	285	30	sets	set	NOUN
cana-5933	285	31	over	over	ADP
cana-5933	285	32	different	different	ADJ
cana-5933	285	33	universes	universe	NOUN
cana-5933	285	34	e	e	NOUN
cana-5933	285	35	and	and	CCONJ
cana-5933	285	36	f.	f.	PROPN
cana-5933	285	37	if	if	SCONJ
cana-5933	285	38	we	we	PRON
cana-5933	285	39	consider	consider	VERB
cana-5933	285	40	to	to	ADP
cana-5933	285	41	3×	3×	NUM
cana-5933	285	42	3	3	NUM
cana-5933	285	43	matrix	matrix	NOUN
cana-5933	285	44	.	.	PUNCT
cana-5933	286	1	communications	communication	NOUN
cana-5933	286	2	on	on	ADP
cana-5933	286	3	applied	apply	VERB
cana-5933	286	4	nonlinear	nonlinear	ADJ
cana-5933	286	5	analysis	analysis	NOUN
cana-5933	286	6	issn	issn	NOUN
cana-5933	286	7	:	:	PUNCT
cana-5933	286	8	1074	1074	NUM
cana-5933	286	9	-	-	PUNCT
cana-5933	286	10	133x	133x	NUM
cana-5933	286	11	vol	vol	VERB
cana-5933	286	12	32	32	NUM
cana-5933	286	13	no	no	NOUN
cana-5933	286	14	.	.	PUNCT
cana-5933	287	1	10s	10	NOUN
cana-5933	287	2	(	(	PUNCT
cana-5933	287	3	2025	2025	NUM
cana-5933	287	4	)	)	PUNCT
cana-5933	287	5	3148	3148	NUM
cana-5933	287	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	287	7	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	287	8	=	=	SYM
cana-5933	287	9	(	(	PUNCT
cana-5933	287	10	(	(	PUNCT
cana-5933	287	11	𝜇11	𝜇11	ADJ
cana-5933	287	12	,	,	PUNCT
cana-5933	287	13	𝜋11	𝜋11	NOUN
cana-5933	287	14	)	)	PUNCT
cana-5933	287	15	(	(	PUNCT
cana-5933	287	16	𝜇12	𝜇12	NOUN
cana-5933	287	17	,	,	PUNCT
cana-5933	287	18	𝜋12	𝜋12	NOUN
cana-5933	287	19	)	)	PUNCT
cana-5933	287	20	(	(	PUNCT
cana-5933	287	21	𝜇13	𝜇13	NOUN
cana-5933	287	22	,	,	PUNCT
cana-5933	287	23	𝜋13	𝜋13	NOUN
cana-5933	287	24	)	)	PUNCT
cana-5933	287	25	(	(	PUNCT
cana-5933	287	26	𝜇21	𝜇21	NOUN
cana-5933	287	27	,	,	PUNCT
cana-5933	287	28	𝜋21	𝜋21	NOUN
cana-5933	287	29	)	)	PUNCT
cana-5933	287	30	(	(	PUNCT
cana-5933	287	31	𝜇22	𝜇22	NOUN
cana-5933	287	32	,	,	PUNCT
cana-5933	287	33	𝜋22	𝜋22	NOUN
cana-5933	287	34	)	)	PUNCT
cana-5933	287	35	(	(	PUNCT
cana-5933	287	36	𝜇23	𝜇23	PROPN
cana-5933	287	37	,	,	PUNCT
cana-5933	287	38	𝜋23	𝜋23	ADJ
cana-5933	287	39	)	)	PUNCT
cana-5933	287	40	(	(	PUNCT
cana-5933	287	41	𝜇31	𝜇31	PROPN
cana-5933	287	42	,	,	PUNCT
cana-5933	287	43	𝜋31	𝜋31	PROPN
cana-5933	287	44	)	)	PUNCT
cana-5933	287	45	(	(	PUNCT
cana-5933	287	46	𝜇32	𝜇32	NOUN
cana-5933	287	47	,	,	PUNCT
cana-5933	287	48	𝜋32	𝜋32	NOUN
cana-5933	287	49	)	)	PUNCT
cana-5933	287	50	(	(	PUNCT
cana-5933	287	51	𝜇33	𝜇33	NOUN
cana-5933	287	52	,	,	PUNCT
cana-5933	287	53	𝜋33	𝜋33	NOUN
cana-5933	287	54	)	)	PUNCT
cana-5933	287	55	)	)	PUNCT
cana-5933	288	1	and𝐵𝐹=	and𝐵𝐹=	NOUN
cana-5933	288	2	(	(	PUNCT
cana-5933	288	3	(	(	PUNCT
cana-5933	288	4	𝜗11	𝜗11	NOUN
cana-5933	288	5	,	,	PUNCT
cana-5933	288	6	𝜃11	𝜃11	NOUN
cana-5933	288	7	)	)	PUNCT
cana-5933	288	8	(	(	PUNCT
cana-5933	288	9	𝜗12	𝜗12	PROPN
cana-5933	288	10	,	,	PUNCT
cana-5933	288	11	𝜃12	𝜃12	NUM
cana-5933	288	12	)	)	PUNCT
cana-5933	288	13	(	(	PUNCT
cana-5933	288	14	𝜗13	𝜗13	PROPN
cana-5933	288	15	,	,	PUNCT
cana-5933	288	16	𝜃13	𝜃13	PROPN
cana-5933	288	17	)	)	PUNCT
cana-5933	288	18	(	(	PUNCT
cana-5933	288	19	𝜗21	𝜗21	NOUN
cana-5933	288	20	,	,	PUNCT
cana-5933	288	21	𝜃21	𝜃21	NOUN
cana-5933	288	22	)	)	PUNCT
cana-5933	288	23	(	(	PUNCT
cana-5933	288	24	𝜗22	𝜗22	PROPN
cana-5933	288	25	,	,	PUNCT
cana-5933	288	26	𝜃22	𝜃22	NOUN
cana-5933	288	27	)	)	PUNCT
cana-5933	288	28	(	(	PUNCT
cana-5933	288	29	𝜗23	𝜗23	PROPN
cana-5933	288	30	,	,	PUNCT
cana-5933	288	31	𝜃23	𝜃23	PROPN
cana-5933	288	32	)	)	PUNCT
cana-5933	288	33	(	(	PUNCT
cana-5933	288	34	𝜗31	𝜗31	NUM
cana-5933	288	35	,	,	PUNCT
cana-5933	288	36	𝜃31	𝜃31	NUM
cana-5933	288	37	)	)	PUNCT
cana-5933	288	38	(	(	PUNCT
cana-5933	288	39	𝜗32	𝜗32	PROPN
cana-5933	288	40	,	,	PUNCT
cana-5933	288	41	𝜃32	𝜃32	PROPN
cana-5933	288	42	)	)	PUNCT
cana-5933	288	43	(	(	PUNCT
cana-5933	288	44	𝜗33	𝜗33	NOUN
cana-5933	288	45	,	,	PUNCT
cana-5933	288	46	𝜃33	𝜃33	NUM
cana-5933	288	47	)	)	PUNCT
cana-5933	288	48	)	)	PUNCT
cana-5933	289	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	289	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	289	3	=	=	X
cana-5933	289	4	(	(	PUNCT
cana-5933	289	5	(	(	PUNCT
cana-5933	289	6	𝜋11	𝜋11	NOUN
cana-5933	289	7	,	,	PUNCT
cana-5933	289	8	𝜇11	𝜇11	NOUN
cana-5933	289	9	)	)	PUNCT
cana-5933	289	10	(	(	PUNCT
cana-5933	289	11	𝜋12	𝜋12	NOUN
cana-5933	289	12	,	,	PUNCT
cana-5933	289	13	𝜇12	𝜇12	NOUN
cana-5933	289	14	)	)	PUNCT
cana-5933	289	15	(	(	PUNCT
cana-5933	289	16	𝜋13	𝜋13	PROPN
cana-5933	289	17	,	,	PUNCT
cana-5933	289	18	𝜇13	𝜇13	NOUN
cana-5933	289	19	)	)	PUNCT
cana-5933	289	20	(	(	PUNCT
cana-5933	289	21	𝜋21	𝜋21	ADJ
cana-5933	289	22	,	,	PUNCT
cana-5933	289	23	𝜇21	𝜇21	NOUN
cana-5933	289	24	)	)	PUNCT
cana-5933	289	25	(	(	PUNCT
cana-5933	289	26	𝜋22	𝜋22	NOUN
cana-5933	289	27	,	,	PUNCT
cana-5933	289	28	𝜇22	𝜇22	PROPN
cana-5933	289	29	)	)	PUNCT
cana-5933	289	30	(	(	PUNCT
cana-5933	289	31	𝜋23	𝜋23	ADJ
cana-5933	289	32	,	,	PUNCT
cana-5933	289	33	𝜇23	𝜇23	NOUN
cana-5933	289	34	)	)	PUNCT
cana-5933	289	35	(	(	PUNCT
cana-5933	289	36	𝜋31	𝜋31	PROPN
cana-5933	289	37	,	,	PUNCT
cana-5933	289	38	𝜇31	𝜇31	NOUN
cana-5933	289	39	)	)	PUNCT
cana-5933	289	40	(	(	PUNCT
cana-5933	289	41	𝜋32	𝜋32	NOUN
cana-5933	289	42	,	,	PUNCT
cana-5933	289	43	𝜇32	𝜇32	NOUN
cana-5933	289	44	)	)	PUNCT
cana-5933	289	45	(	(	PUNCT
cana-5933	289	46	𝜋33	𝜋33	PROPN
cana-5933	289	47	,	,	PUNCT
cana-5933	289	48	𝜇33	𝜇33	NOUN
cana-5933	289	49	)	)	PUNCT
cana-5933	289	50	)	)	PUNCT
cana-5933	289	51	and	and	CCONJ
cana-5933	289	52	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	289	53	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	289	54	=(	=(	NOUN
cana-5933	289	55	(	(	PUNCT
cana-5933	289	56	𝜃11	𝜃11	ADJ
cana-5933	289	57	,	,	PUNCT
cana-5933	289	58	𝜗11	𝜗11	NOUN
cana-5933	289	59	)	)	PUNCT
cana-5933	289	60	(	(	PUNCT
cana-5933	289	61	𝜃12	𝜃12	ADJ
cana-5933	289	62	,	,	PUNCT
cana-5933	289	63	𝜗12	𝜗12	PROPN
cana-5933	289	64	)	)	PUNCT
cana-5933	289	65	(	(	PUNCT
cana-5933	289	66	𝜃13	𝜃13	PROPN
cana-5933	289	67	,	,	PUNCT
cana-5933	289	68	𝜗13	𝜗13	NOUN
cana-5933	289	69	)	)	PUNCT
cana-5933	289	70	(	(	PUNCT
cana-5933	289	71	𝜃21	𝜃21	NOUN
cana-5933	289	72	,	,	PUNCT
cana-5933	289	73	𝜗21	𝜗21	NOUN
cana-5933	289	74	)	)	PUNCT
cana-5933	289	75	(	(	PUNCT
cana-5933	289	76	𝜃22	𝜃22	NOUN
cana-5933	289	77	,	,	PUNCT
cana-5933	289	78	𝜗22	𝜗22	PROPN
cana-5933	289	79	)	)	PUNCT
cana-5933	289	80	(	(	PUNCT
cana-5933	289	81	𝜃23	𝜃23	PROPN
cana-5933	289	82	,	,	PUNCT
cana-5933	289	83	𝜗23	𝜗23	ADJ
cana-5933	289	84	)	)	PUNCT
cana-5933	289	85	(	(	PUNCT
cana-5933	289	86	𝜃31	𝜃31	PROPN
cana-5933	289	87	,	,	PUNCT
cana-5933	289	88	𝜗31	𝜗31	NUM
cana-5933	289	89	)	)	PUNCT
cana-5933	289	90	(	(	PUNCT
cana-5933	289	91	𝜃32	𝜃32	PROPN
cana-5933	289	92	,	,	PUNCT
cana-5933	289	93	𝜗32	𝜗32	PROPN
cana-5933	289	94	)	)	PUNCT
cana-5933	289	95	(	(	PUNCT
cana-5933	289	96	𝜃33	𝜃33	NOUN
cana-5933	289	97	,	,	PUNCT
cana-5933	289	98	𝜗33	𝜗33	NOUN
cana-5933	289	99	)	)	PUNCT
cana-5933	289	100	)	)	PUNCT
cana-5933	290	1	if	if	SCONJ
cana-5933	290	2	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	290	3	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	290	4	=	=	X
cana-5933	290	5	{	{	PUNCT
cana-5933	290	6	x	x	NOUN
cana-5933	290	7	,	,	PUNCT
cana-5933	290	8	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	290	9	)	)	PUNCT
cana-5933	290	10	,	,	PUNCT
cana-5933	290	11	𝜇(x	𝜇(x	X
cana-5933	290	12	):	):	PUNCT
cana-5933	290	13	xx	xx	PRON
cana-5933	290	14	}	}	PUNCT
cana-5933	290	15	and	and	CCONJ
cana-5933	290	16	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	290	17	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	290	18	=	=	PUNCT
cana-5933	290	19	{	{	PUNCT
cana-5933	290	20	y	y	PROPN
cana-5933	290	21	,	,	PUNCT
cana-5933	290	22	𝜃𝐴(y	𝜃𝐴(y	PROPN
cana-5933	290	23	)	)	PUNCT
cana-5933	290	24	,	,	PUNCT
cana-5933	290	25	𝜗𝐴(y	𝜗𝐴(y	PROPN
cana-5933	290	26	):	):	PUNCT
cana-5933	290	27	yy	yy	PROPN
cana-5933	290	28	}	}	PUNCT
cana-5933	290	29	are	be	AUX
cana-5933	290	30	two	two	NUM
cana-5933	290	31	also	also	ADV
cana-5933	290	32	intuitionistic	intuitionistic	ADJ
cana-5933	290	33	fuzzy	fuzzy	ADJ
cana-5933	290	34	matrices	matrix	NOUN
cana-5933	290	35	sets	set	NOUN
cana-5933	290	36	over	over	ADP
cana-5933	290	37	different	different	ADJ
cana-5933	290	38	universes	universe	NOUN
cana-5933	290	39	e	e	NOUN
cana-5933	290	40	and	and	CCONJ
cana-5933	290	41	f.	f.	PROPN
cana-5933	290	42	by	by	ADP
cana-5933	290	43	the	the	DET
cana-5933	290	44	definition	definition	NOUN
cana-5933	290	45	of	of	ADP
cana-5933	290	46	𝐴𝐸	𝐴𝐸	X
cana-5933	290	47	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	290	48	=	=	X
cana-5933	290	49	{	{	PUNCT
cana-5933	290	50	x	x	NOUN
cana-5933	290	51	,	,	PUNCT
cana-5933	290	52	πa(x	πa(x	NOUN
cana-5933	290	53	):	):	PUNCT
cana-5933	290	54	xx	xx	PRON
cana-5933	290	55	}	}	PUNCT
cana-5933	290	56	=	=	SYM
cana-5933	290	57	{	{	PUNCT
cana-5933	290	58	x	x	NOUN
cana-5933	290	59	,	,	PUNCT
cana-5933	290	60	πa(x	πa(x	NOUN
cana-5933	290	61	)	)	PUNCT
cana-5933	290	62	,	,	PUNCT
cana-5933	290	63	1	1	NUM
cana-5933	290	64	−	−	PROPN
cana-5933	290	65	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	290	66	):	):	PUNCT
cana-5933	290	67	xx	xx	NUM
cana-5933	290	68	}	}	PUNCT
cana-5933	290	69	and	and	CCONJ
cana-5933	290	70	𝐵𝐹	𝐵𝐹	NUM
cana-5933	290	71	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	290	72	=	=	SYM
cana-5933	290	73	{	{	PUNCT
cana-5933	290	74	y	y	PROPN
cana-5933	290	75	,	,	PUNCT
cana-5933	290	76	𝜃b(y	𝜃b(y	NUM
cana-5933	290	77	):	):	PUNCT
cana-5933	290	78	yy	yy	NOUN
cana-5933	290	79	}	}	PUNCT
cana-5933	290	80	=	=	SYM
cana-5933	290	81	{	{	PUNCT
cana-5933	290	82	y	y	PROPN
cana-5933	290	83	,	,	PUNCT
cana-5933	290	84	𝜃b(y	𝜃b(y	NUM
cana-5933	290	85	)	)	PUNCT
cana-5933	290	86	,	,	PUNCT
cana-5933	291	1	1	1	NUM
cana-5933	291	2	−	−	NOUN
cana-5933	291	3	𝜃𝐵(y	𝜃𝐵(y	NUM
cana-5933	291	4	):	):	PUNCT
cana-5933	291	5	yy	yy	NOUN
cana-5933	291	6	}	}	PUNCT
cana-5933	291	7	𝐴𝐸	𝐴𝐸	PUNCT
cana-5933	291	8	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	291	9	=	=	PUNCT
cana-5933	291	10	(	(	PUNCT
cana-5933	291	11	(	(	PUNCT
cana-5933	291	12	𝜋11	𝜋11	NOUN
cana-5933	291	13	,	,	PUNCT
cana-5933	291	14	1	1	NUM
cana-5933	291	15	−	−	NOUN
cana-5933	291	16	𝜋11	𝜋11	NOUN
cana-5933	291	17	)	)	PUNCT
cana-5933	291	18	(	(	PUNCT
cana-5933	291	19	𝜋12	𝜋12	NOUN
cana-5933	291	20	,	,	PUNCT
cana-5933	291	21	1	1	NUM
cana-5933	291	22	−	−	NOUN
cana-5933	291	23	𝜋12	𝜋12	NOUN
cana-5933	291	24	)	)	PUNCT
cana-5933	291	25	(	(	PUNCT
cana-5933	291	26	𝜋13	𝜋13	ADJ
cana-5933	291	27	,	,	PUNCT
cana-5933	291	28	1	1	NUM
cana-5933	291	29	−	−	NOUN
cana-5933	291	30	𝜋13	𝜋13	NOUN
cana-5933	291	31	)	)	PUNCT
cana-5933	291	32	(	(	PUNCT
cana-5933	291	33	𝜋21	𝜋21	VERB
cana-5933	291	34	,	,	PUNCT
cana-5933	291	35	1	1	NUM
cana-5933	291	36	−	−	NOUN
cana-5933	291	37	𝜋21	𝜋21	PROPN
cana-5933	291	38	)	)	PUNCT
cana-5933	291	39	(	(	PUNCT
cana-5933	291	40	𝜋22	𝜋22	NOUN
cana-5933	291	41	,	,	PUNCT
cana-5933	291	42	1	1	NUM
cana-5933	291	43	−	−	NOUN
cana-5933	291	44	𝜋22	𝜋22	NOUN
cana-5933	291	45	)	)	PUNCT
cana-5933	291	46	(	(	PUNCT
cana-5933	291	47	𝜋23	𝜋23	ADJ
cana-5933	291	48	,	,	PUNCT
cana-5933	291	49	1	1	NUM
cana-5933	291	50	−	−	NOUN
cana-5933	291	51	𝜋23	𝜋23	ADJ
cana-5933	291	52	)	)	PUNCT
cana-5933	291	53	(	(	PUNCT
cana-5933	291	54	𝜋31	𝜋31	PROPN
cana-5933	291	55	,	,	PUNCT
cana-5933	291	56	1	1	NUM
cana-5933	291	57	−	−	NOUN
cana-5933	291	58	𝜋31	𝜋31	NOUN
cana-5933	291	59	)	)	PUNCT
cana-5933	291	60	(	(	PUNCT
cana-5933	291	61	𝜋32	𝜋32	NOUN
cana-5933	291	62	,	,	PUNCT
cana-5933	291	63	1	1	NUM
cana-5933	291	64	−	−	NOUN
cana-5933	291	65	𝜋32	𝜋32	NOUN
cana-5933	291	66	)	)	PUNCT
cana-5933	291	67	(	(	PUNCT
cana-5933	291	68	𝜋33	𝜋33	NOUN
cana-5933	291	69	,	,	PUNCT
cana-5933	291	70	1	1	NUM
cana-5933	291	71	−	−	NOUN
cana-5933	291	72	𝜋33	𝜋33	NOUN
cana-5933	291	73	)	)	PUNCT
cana-5933	291	74	)	)	PUNCT
cana-5933	291	75	and	and	CCONJ
cana-5933	291	76	𝐵𝐹	𝐵𝐹	NUM
cana-5933	291	77	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	291	78	=	=	X
cana-5933	291	79	(	(	PUNCT
cana-5933	291	80	(	(	PUNCT
cana-5933	291	81	𝜃11	𝜃11	ADJ
cana-5933	291	82	,	,	PUNCT
cana-5933	291	83	1	1	NUM
cana-5933	291	84	−	−	NOUN
cana-5933	291	85	𝜃11	𝜃11	NOUN
cana-5933	291	86	)	)	PUNCT
cana-5933	291	87	(	(	PUNCT
cana-5933	291	88	𝜃12	𝜃12	ADJ
cana-5933	291	89	,	,	PUNCT
cana-5933	291	90	1	1	NUM
cana-5933	291	91	−	−	NOUN
cana-5933	291	92	𝜃12	𝜃12	NUM
cana-5933	291	93	)	)	PUNCT
cana-5933	291	94	(	(	PUNCT
cana-5933	291	95	𝜃13	𝜃13	PROPN
cana-5933	291	96	,	,	PUNCT
cana-5933	291	97	1	1	NUM
cana-5933	291	98	−	−	NOUN
cana-5933	291	99	𝜃13	𝜃13	NOUN
cana-5933	291	100	)	)	PUNCT
cana-5933	291	101	(	(	PUNCT
cana-5933	291	102	𝜃21	𝜃21	NOUN
cana-5933	291	103	,	,	PUNCT
cana-5933	291	104	1	1	NUM
cana-5933	291	105	−	−	NOUN
cana-5933	291	106	𝜃21	𝜃21	NOUN
cana-5933	291	107	)	)	PUNCT
cana-5933	291	108	(	(	PUNCT
cana-5933	291	109	𝜃22	𝜃22	ADV
cana-5933	291	110	,	,	PUNCT
cana-5933	291	111	1	1	NUM
cana-5933	291	112	−	−	PROPN
cana-5933	291	113	𝜃22	𝜃22	NOUN
cana-5933	291	114	)	)	PUNCT
cana-5933	291	115	(	(	PUNCT
cana-5933	291	116	𝜃23	𝜃23	PROPN
cana-5933	291	117	,	,	PUNCT
cana-5933	291	118	1	1	NUM
cana-5933	291	119	−	−	PROPN
cana-5933	291	120	𝜃23	𝜃23	NOUN
cana-5933	291	121	)	)	PUNCT
cana-5933	291	122	(	(	PUNCT
cana-5933	291	123	𝜃31	𝜃31	PROPN
cana-5933	291	124	,	,	PUNCT
cana-5933	291	125	1	1	NUM
cana-5933	291	126	−	−	NOUN
cana-5933	291	127	𝜃31	𝜃31	NUM
cana-5933	291	128	)	)	PUNCT
cana-5933	291	129	(	(	PUNCT
cana-5933	291	130	𝜃32	𝜃32	PROPN
cana-5933	291	131	,	,	PUNCT
cana-5933	291	132	1	1	NUM
cana-5933	291	133	−	−	NOUN
cana-5933	291	134	𝜃32	𝜃32	PROPN
cana-5933	291	135	)	)	PUNCT
cana-5933	291	136	(	(	PUNCT
cana-5933	291	137	𝜃33	𝜃33	NOUN
cana-5933	291	138	,	,	PUNCT
cana-5933	291	139	1	1	NUM
cana-5933	291	140	−	−	NOUN
cana-5933	291	141	𝜃33	𝜃33	NOUN
cana-5933	291	142	)	)	PUNCT
cana-5933	291	143	)	)	PUNCT
cana-5933	292	1	then	then	ADV
cana-5933	292	2	applying	apply	VERB
cana-5933	292	3	the	the	DET
cana-5933	292	4	formula	formula	NOUN
cana-5933	292	5	,	,	PUNCT
cana-5933	292	6	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	292	7	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	292	8	.	.	PUNCT
cana-5933	293	1	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	293	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	293	3	=	=	X
cana-5933	293	4	{	{	PUNCT
cana-5933	293	5	〈	〈	PROPN
cana-5933	293	6	x	x	PROPN
cana-5933	293	7	,	,	PUNCT
cana-5933	293	8	y	y	PROPN
cana-5933	293	9	〉	〉	NOUN
cana-5933	293	10	,	,	PUNCT
cana-5933	293	11	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	293	12	(	(	PUNCT
cana-5933	293	13	x	x	NOUN
cana-5933	293	14	)	)	PUNCT
cana-5933	293	15	∙	∙	PROPN
cana-5933	293	16	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	293	17	(	(	PUNCT
cana-5933	293	18	y	y	NOUN
cana-5933	293	19	)	)	PUNCT
cana-5933	293	20	,	,	PUNCT
cana-5933	293	21	(	(	PUNCT
cana-5933	293	22	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	293	23	̅̅	̅̅	NOUN
cana-5933	293	24	̅(x	̅(x	NOUN
cana-5933	293	25	)	)	PUNCT
cana-5933	294	1	+	+	CCONJ
cana-5933	294	2	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	294	3	̅̅	̅̅	NOUN
cana-5933	294	4	̅	̅	NOUN
cana-5933	294	5	(	(	PUNCT
cana-5933	294	6	y	y	NOUN
cana-5933	294	7	)	)	PUNCT
cana-5933	294	8	(	(	PUNCT
cana-5933	294	9	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	294	10	̅̅	̅̅	NOUN
cana-5933	294	11	̅(x	̅(x	PROPN
cana-5933	294	12	)	)	PUNCT
cana-5933	294	13	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	294	14	̅̅	̅̅	NOUN
cana-5933	294	15	̅	̅	NOUN
cana-5933	294	16	(	(	PUNCT
cana-5933	294	17	y	y	NOUN
cana-5933	294	18	):	):	PUNCT
cana-5933	294	19	xe	xe	PROPN
cana-5933	294	20	,	,	PUNCT
cana-5933	294	21	y𝐹	y𝐹	PROPN
cana-5933	294	22	}	}	PUNCT
cana-5933	294	23	,	,	PUNCT
cana-5933	294	24	we	we	PRON
cana-5933	294	25	have	have	VERB
cana-5933	294	26	,	,	PUNCT
cana-5933	295	1			PROPN
cana-5933	295	2	�	�	PROPN
cana-5933	295	3	̅	̅	NOUN
cana-5933	295	4	�	�	SYM
cana-5933	295	5	𝐸	𝐸	X
cana-5933	295	6			PROPN
cana-5933	295	7	�	�	PROPN
cana-5933	295	8	̅	̅	NOUN
cana-5933	295	9	�	�	NOUN
cana-5933	295	10	𝐹	𝐹	NOUN
cana-5933	295	11	=	=	PUNCT
cana-5933	295	12	(	(	PUNCT
cana-5933	295	13	(	(	PUNCT
cana-5933	295	14	𝜋11	𝜋11	NOUN
cana-5933	295	15	,	,	PUNCT
cana-5933	295	16	1	1	NUM
cana-5933	295	17	−	−	NOUN
cana-5933	295	18	𝜋11	𝜋11	NOUN
cana-5933	295	19	)	)	PUNCT
cana-5933	295	20	(	(	PUNCT
cana-5933	295	21	𝜋12	𝜋12	NOUN
cana-5933	295	22	,	,	PUNCT
cana-5933	295	23	1	1	NUM
cana-5933	295	24	−	−	NOUN
cana-5933	295	25	𝜋12	𝜋12	NOUN
cana-5933	295	26	)	)	PUNCT
cana-5933	295	27	(	(	PUNCT
cana-5933	295	28	𝜋13	𝜋13	ADJ
cana-5933	295	29	,	,	PUNCT
cana-5933	295	30	1	1	NUM
cana-5933	295	31	−	−	NOUN
cana-5933	295	32	𝜋13	𝜋13	NOUN
cana-5933	295	33	)	)	PUNCT
cana-5933	295	34	(	(	PUNCT
cana-5933	295	35	𝜋21	𝜋21	VERB
cana-5933	295	36	,	,	PUNCT
cana-5933	295	37	1	1	NUM
cana-5933	295	38	−	−	NOUN
cana-5933	295	39	𝜋21	𝜋21	PROPN
cana-5933	295	40	)	)	PUNCT
cana-5933	295	41	(	(	PUNCT
cana-5933	295	42	𝜋22	𝜋22	NOUN
cana-5933	295	43	,	,	PUNCT
cana-5933	295	44	1	1	NUM
cana-5933	295	45	−	−	NOUN
cana-5933	295	46	𝜋22	𝜋22	NOUN
cana-5933	295	47	)	)	PUNCT
cana-5933	295	48	(	(	PUNCT
cana-5933	295	49	𝜋23	𝜋23	ADJ
cana-5933	295	50	,	,	PUNCT
cana-5933	295	51	1	1	NUM
cana-5933	295	52	−	−	NOUN
cana-5933	295	53	𝜋23	𝜋23	ADJ
cana-5933	295	54	)	)	PUNCT
cana-5933	295	55	(	(	PUNCT
cana-5933	295	56	𝜋31	𝜋31	PROPN
cana-5933	295	57	,	,	PUNCT
cana-5933	295	58	1	1	NUM
cana-5933	295	59	−	−	NOUN
cana-5933	295	60	𝜋31	𝜋31	NOUN
cana-5933	295	61	)	)	PUNCT
cana-5933	295	62	(	(	PUNCT
cana-5933	295	63	𝜋32	𝜋32	NOUN
cana-5933	295	64	,	,	PUNCT
cana-5933	295	65	1	1	NUM
cana-5933	295	66	−	−	NOUN
cana-5933	295	67	𝜋32	𝜋32	NOUN
cana-5933	295	68	)	)	PUNCT
cana-5933	295	69	(	(	PUNCT
cana-5933	295	70	𝜋33	𝜋33	NOUN
cana-5933	295	71	,	,	PUNCT
cana-5933	295	72	1	1	NUM
cana-5933	295	73	−	−	NOUN
cana-5933	295	74	𝜋33	𝜋33	NOUN
cana-5933	295	75	)	)	PUNCT
cana-5933	295	76	)	)	PUNCT
cana-5933	295	77			X
cana-5933	295	78	(	(	PUNCT
cana-5933	295	79	(	(	PUNCT
cana-5933	295	80	𝜃11	𝜃11	ADJ
cana-5933	295	81	,	,	PUNCT
cana-5933	295	82	1	1	NUM
cana-5933	295	83	−	−	NOUN
cana-5933	295	84	𝜃11	𝜃11	NOUN
cana-5933	295	85	)	)	PUNCT
cana-5933	295	86	(	(	PUNCT
cana-5933	295	87	𝜃12	𝜃12	ADJ
cana-5933	295	88	,	,	PUNCT
cana-5933	295	89	1	1	NUM
cana-5933	295	90	−	−	NOUN
cana-5933	295	91	𝜃12	𝜃12	NUM
cana-5933	295	92	)	)	PUNCT
cana-5933	295	93	(	(	PUNCT
cana-5933	295	94	𝜃13	𝜃13	PROPN
cana-5933	295	95	,	,	PUNCT
cana-5933	295	96	1	1	NUM
cana-5933	295	97	−	−	NOUN
cana-5933	295	98	𝜃13	𝜃13	NOUN
cana-5933	295	99	)	)	PUNCT
cana-5933	295	100	(	(	PUNCT
cana-5933	295	101	𝜃21	𝜃21	NOUN
cana-5933	295	102	,	,	PUNCT
cana-5933	295	103	1	1	NUM
cana-5933	295	104	−	−	NOUN
cana-5933	295	105	𝜃21	𝜃21	NOUN
cana-5933	295	106	)	)	PUNCT
cana-5933	295	107	(	(	PUNCT
cana-5933	295	108	𝜃22	𝜃22	ADV
cana-5933	295	109	,	,	PUNCT
cana-5933	295	110	1	1	NUM
cana-5933	295	111	−	−	PROPN
cana-5933	295	112	𝜃22	𝜃22	NOUN
cana-5933	295	113	)	)	PUNCT
cana-5933	295	114	(	(	PUNCT
cana-5933	295	115	𝜃23	𝜃23	PROPN
cana-5933	295	116	,	,	PUNCT
cana-5933	295	117	1	1	NUM
cana-5933	295	118	−	−	PROPN
cana-5933	295	119	𝜃23	𝜃23	NOUN
cana-5933	295	120	)	)	PUNCT
cana-5933	295	121	(	(	PUNCT
cana-5933	295	122	𝜃31	𝜃31	PROPN
cana-5933	295	123	,	,	PUNCT
cana-5933	295	124	1	1	NUM
cana-5933	295	125	−	−	NOUN
cana-5933	295	126	𝜃31	𝜃31	NUM
cana-5933	295	127	)	)	PUNCT
cana-5933	295	128	(	(	PUNCT
cana-5933	295	129	𝜃32	𝜃32	PROPN
cana-5933	295	130	,	,	PUNCT
cana-5933	295	131	1	1	NUM
cana-5933	295	132	−	−	NOUN
cana-5933	295	133	𝜃32	𝜃32	PROPN
cana-5933	295	134	)	)	PUNCT
cana-5933	295	135	(	(	PUNCT
cana-5933	295	136	𝜃33	𝜃33	NOUN
cana-5933	295	137	,	,	PUNCT
cana-5933	295	138	1	1	NUM
cana-5933	295	139	−	−	NOUN
cana-5933	295	140	𝜃33	𝜃33	NOUN
cana-5933	295	141	)	)	PUNCT
cana-5933	295	142	)	)	PUNCT
cana-5933	295	143	where	where	SCONJ
cana-5933	295	144	,	,	PUNCT
cana-5933	295	145	𝑋11	𝑋11	PROPN
cana-5933	295	146	=(	=(	NOUN
cana-5933	295	147	(	(	PUNCT
cana-5933	295	148	𝜋11	𝜋11	NOUN
cana-5933	295	149	,	,	PUNCT
cana-5933	295	150	1	1	NUM
cana-5933	295	151	−	−	NOUN
cana-5933	295	152	𝜋11	𝜋11	NOUN
cana-5933	295	153	)	)	PUNCT
cana-5933	295	154	.	.	PUNCT
cana-5933	296	1	(	(	PUNCT
cana-5933	296	2	𝜃11	𝜃11	ADJ
cana-5933	296	3	,	,	PUNCT
cana-5933	296	4	1	1	NUM
cana-5933	296	5	−	−	NOUN
cana-5933	296	6	𝜃11	𝜃11	NOUN
cana-5933	296	7	)	)	PUNCT
cana-5933	296	8	)	)	PUNCT
cana-5933	296	9	,	,	PUNCT
cana-5933	296	10	𝑋12=((𝜋12	𝑋12=((𝜋12	VERB
cana-5933	296	11	,	,	PUNCT
cana-5933	296	12	1	1	NUM
cana-5933	296	13	−	−	NOUN
cana-5933	296	14	𝜋12	𝜋12	NOUN
cana-5933	296	15	)	)	PUNCT
cana-5933	296	16	.	.	PUNCT
cana-5933	297	1	(	(	PUNCT
cana-5933	297	2	𝜃21	𝜃21	NOUN
cana-5933	297	3	,	,	PUNCT
cana-5933	297	4	1	1	NUM
cana-5933	297	5	−	−	NOUN
cana-5933	297	6	𝜃21	𝜃21	NOUN
cana-5933	297	7	)	)	PUNCT
cana-5933	297	8	)	)	PUNCT
cana-5933	298	1	𝑋13=((𝜋13	𝑋13=((𝜋13	PROPN
cana-5933	298	2	,	,	PUNCT
cana-5933	298	3	1	1	NUM
cana-5933	298	4	−	−	NOUN
cana-5933	298	5	𝜋13	𝜋13	NOUN
cana-5933	298	6	)	)	PUNCT
cana-5933	298	7	.	.	PUNCT
cana-5933	299	1	(	(	PUNCT
cana-5933	299	2	𝜃31	𝜃31	PROPN
cana-5933	299	3	,	,	PUNCT
cana-5933	299	4	1	1	NUM
cana-5933	299	5	−	−	NOUN
cana-5933	299	6	𝜃31	𝜃31	NUM
cana-5933	299	7	)	)	PUNCT
cana-5933	299	8	)	)	PUNCT
cana-5933	299	9	,	,	PUNCT
cana-5933	299	10	𝑋21=((𝜋21	𝑋21=((𝜋21	PROPN
cana-5933	299	11	,	,	PUNCT
cana-5933	299	12	1	1	NUM
cana-5933	299	13	−	−	NOUN
cana-5933	299	14	𝜋21	𝜋21	PROPN
cana-5933	299	15	)	)	PUNCT
cana-5933	299	16	.	.	PUNCT
cana-5933	300	1	(	(	PUNCT
cana-5933	300	2	𝜃12	𝜃12	ADJ
cana-5933	300	3	,	,	PUNCT
cana-5933	300	4	1	1	NUM
cana-5933	300	5	−	−	NOUN
cana-5933	300	6	𝜃12	𝜃12	NUM
cana-5933	300	7	)	)	PUNCT
cana-5933	300	8	)	)	PUNCT
cana-5933	301	1	𝑋22=((𝜋22	𝑋22=((𝜋22	PROPN
cana-5933	301	2	,	,	PUNCT
cana-5933	301	3	1	1	NUM
cana-5933	301	4	−	−	NOUN
cana-5933	301	5	𝜋22	𝜋22	NOUN
cana-5933	301	6	)	)	PUNCT
cana-5933	301	7	.	.	PUNCT
cana-5933	302	1	(	(	PUNCT
cana-5933	302	2	𝜃22	𝜃22	ADV
cana-5933	302	3	,	,	PUNCT
cana-5933	302	4	1	1	NUM
cana-5933	302	5	−	−	NOUN
cana-5933	302	6	𝜃22	𝜃22	NOUN
cana-5933	302	7	)	)	PUNCT
cana-5933	302	8	)	)	PUNCT
cana-5933	303	1	,	,	PUNCT
cana-5933	303	2	𝑋23=((𝜋23	𝑋23=((𝜋23	PROPN
cana-5933	303	3	,	,	PUNCT
cana-5933	303	4	1	1	NUM
cana-5933	303	5	−	−	NOUN
cana-5933	303	6	𝜋23	𝜋23	ADJ
cana-5933	303	7	)	)	PUNCT
cana-5933	303	8	.	.	PUNCT
cana-5933	304	1	(	(	PUNCT
cana-5933	304	2	𝜃32	𝜃32	PROPN
cana-5933	304	3	,	,	PUNCT
cana-5933	304	4	1	1	NUM
cana-5933	304	5	−	−	NOUN
cana-5933	304	6	𝜃32	𝜃32	NOUN
cana-5933	304	7	)	)	PUNCT
cana-5933	304	8	)	)	PUNCT
cana-5933	305	1	𝑋31=	𝑋31=	ADP
cana-5933	305	2	(	(	PUNCT
cana-5933	305	3	(	(	PUNCT
cana-5933	305	4	𝜋31	𝜋31	PROPN
cana-5933	305	5	,	,	PUNCT
cana-5933	305	6	1	1	NUM
cana-5933	305	7	−	−	NOUN
cana-5933	305	8	𝜋31	𝜋31	NOUN
cana-5933	305	9	)	)	PUNCT
cana-5933	305	10	.	.	PUNCT
cana-5933	306	1	(	(	PUNCT
cana-5933	306	2	𝜃13	𝜃13	INTJ
cana-5933	306	3	,	,	PUNCT
cana-5933	306	4	1	1	NUM
cana-5933	306	5	−	−	NOUN
cana-5933	306	6	𝜃13	𝜃13	NOUN
cana-5933	306	7	)	)	PUNCT
cana-5933	306	8	)	)	PUNCT
cana-5933	306	9	,	,	PUNCT
cana-5933	306	10	𝑋32=((𝜋32	𝑋32=((𝜋32	PROPN
cana-5933	306	11	,	,	PUNCT
cana-5933	306	12	1	1	NUM
cana-5933	306	13	−	−	NOUN
cana-5933	306	14	𝜋32	𝜋32	NOUN
cana-5933	306	15	)	)	PUNCT
cana-5933	306	16	.	.	PUNCT
cana-5933	307	1	(	(	PUNCT
cana-5933	307	2	𝜃23	𝜃23	PROPN
cana-5933	307	3	,	,	PUNCT
cana-5933	307	4	1	1	NUM
cana-5933	307	5	−	−	PROPN
cana-5933	307	6	𝜃23	𝜃23	NOUN
cana-5933	307	7	)	)	PUNCT
cana-5933	307	8	)	)	PUNCT
cana-5933	308	1	𝑋33=((𝜋33	𝑋33=((𝜋33	PROPN
cana-5933	308	2	,	,	PUNCT
cana-5933	308	3	1	1	NUM
cana-5933	308	4	−	−	NOUN
cana-5933	308	5	𝜋33	𝜋33	NOUN
cana-5933	308	6	)	)	PUNCT
cana-5933	308	7	.	.	PUNCT
cana-5933	309	1	(	(	PUNCT
cana-5933	309	2	𝜃33	𝜃33	NOUN
cana-5933	309	3	,	,	PUNCT
cana-5933	309	4	1	1	NUM
cana-5933	309	5	−	−	NOUN
cana-5933	309	6	𝜃33	𝜃33	NOUN
cana-5933	309	7	)	)	PUNCT
cana-5933	309	8	)	)	PUNCT
cana-5933	309	9	now	now	ADV
cana-5933	309	10	applying	apply	VERB
cana-5933	309	11	formula	formula	NOUN
cana-5933	309	12	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	309	13	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	309	14	.	.	PUNCT
cana-5933	310	1	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	310	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	310	3	=	=	X
cana-5933	310	4	{	{	PUNCT
cana-5933	310	5	〈	〈	PROPN
cana-5933	310	6	x	x	PROPN
cana-5933	310	7	,	,	PUNCT
cana-5933	310	8	y	y	PROPN
cana-5933	310	9	〉	〉	NOUN
cana-5933	310	10	,	,	PUNCT
cana-5933	310	11	𝜇𝐴̅̅̅̅	𝜇𝐴̅̅̅̅	PROPN
cana-5933	310	12	(	(	PUNCT
cana-5933	310	13	x	x	NOUN
cana-5933	310	14	)	)	PUNCT
cana-5933	310	15	∙	∙	PROPN
cana-5933	310	16	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	310	17	(	(	PUNCT
cana-5933	310	18	y	y	NOUN
cana-5933	310	19	)	)	PUNCT
cana-5933	310	20	,	,	PUNCT
cana-5933	310	21	(	(	PUNCT
cana-5933	310	22	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	310	23	̅̅	̅̅	NOUN
cana-5933	310	24	̅(x	̅(x	NOUN
cana-5933	310	25	)	)	PUNCT
cana-5933	311	1	+	+	CCONJ
cana-5933	311	2	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	311	3	̅̅	̅̅	NOUN
cana-5933	311	4	̅	̅	NOUN
cana-5933	311	5	(	(	PUNCT
cana-5933	311	6	y	y	NOUN
cana-5933	311	7	)	)	PUNCT
cana-5933	311	8	−	−	PROPN
cana-5933	311	9	(	(	PUNCT
cana-5933	311	10	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	311	11	̅̅	̅̅	NOUN
cana-5933	311	12	̅(x	̅(x	NOUN
cana-5933	311	13	)	)	PUNCT
cana-5933	311	14	∙	∙	PROPN
cana-5933	311	15	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	311	16	̅̅	̅̅	NOUN
cana-5933	311	17	̅	̅	NOUN
cana-5933	311	18	(	(	PUNCT
cana-5933	311	19	y	y	NOUN
cana-5933	311	20	):	):	PUNCT
cana-5933	311	21	xe	xe	PROPN
cana-5933	311	22	,	,	PUNCT
cana-5933	311	23	y𝐹	y𝐹	PROPN
cana-5933	311	24	}	}	PUNCT
cana-5933	311	25	𝑋11=	𝑋11=	NOUN
cana-5933	311	26	{	{	PUNCT
cana-5933	311	27	(	(	PUNCT
cana-5933	311	28	𝜋11	𝜋11	PROPN
cana-5933	311	29	.	.	PUNCT
cana-5933	311	30	𝜃11	𝜃11	PROPN
cana-5933	311	31	)	)	PUNCT
cana-5933	311	32	,	,	PUNCT
cana-5933	311	33	(	(	PUNCT
cana-5933	311	34	1	1	NUM
cana-5933	311	35	−	−	NOUN
cana-5933	311	36	𝜋11	𝜋11	NOUN
cana-5933	311	37	+	+	CCONJ
cana-5933	311	38	1	1	NUM
cana-5933	311	39	−	−	NOUN
cana-5933	311	40	𝜃11	𝜃11	NOUN
cana-5933	311	41	)	)	PUNCT
cana-5933	311	42	−	−	PROPN
cana-5933	311	43	(	(	PUNCT
cana-5933	311	44	1	1	NUM
cana-5933	311	45	−	−	NOUN
cana-5933	311	46	𝜋11	𝜋11	NOUN
cana-5933	311	47	.	.	PUNCT
cana-5933	312	1	1	1	NUM
cana-5933	312	2	−	−	NOUN
cana-5933	312	3	𝜃11	𝜃11	NOUN
cana-5933	312	4	)	)	PUNCT
cana-5933	312	5	}	}	PUNCT
cana-5933	312	6	communications	communication	NOUN
cana-5933	312	7	on	on	ADP
cana-5933	312	8	applied	apply	VERB
cana-5933	312	9	nonlinear	nonlinear	ADJ
cana-5933	312	10	analysis	analysis	NOUN
cana-5933	312	11	issn	issn	NOUN
cana-5933	312	12	:	:	PUNCT
cana-5933	312	13	1074	1074	NUM
cana-5933	312	14	-	-	PUNCT
cana-5933	312	15	133x	133x	NUM
cana-5933	312	16	vol	vol	VERB
cana-5933	312	17	32	32	NUM
cana-5933	312	18	no	no	NOUN
cana-5933	312	19	.	.	PUNCT
cana-5933	313	1	10s	10	NOUN
cana-5933	313	2	(	(	PUNCT
cana-5933	313	3	2025	2025	NUM
cana-5933	313	4	)	)	PUNCT
cana-5933	313	5	3149	3149	NUM
cana-5933	313	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	313	7	𝑋12=	𝑋12=	NOUN
cana-5933	313	8	{	{	PUNCT
cana-5933	313	9	(	(	PUNCT
cana-5933	313	10	𝜋12	𝜋12	NOUN
cana-5933	313	11	.	.	PUNCT
cana-5933	313	12	𝜃21	𝜃21	PROPN
cana-5933	313	13	)	)	PUNCT
cana-5933	313	14	,	,	PUNCT
cana-5933	313	15	(	(	PUNCT
cana-5933	313	16	1	1	NUM
cana-5933	313	17	−	−	NOUN
cana-5933	313	18	𝜋12	𝜋12	NOUN
cana-5933	313	19	+	+	CCONJ
cana-5933	313	20	1	1	NUM
cana-5933	313	21	−	−	NOUN
cana-5933	313	22	𝜃21	𝜃21	NOUN
cana-5933	313	23	)	)	PUNCT
cana-5933	313	24	−	−	PROPN
cana-5933	314	1	(	(	PUNCT
cana-5933	314	2	1	1	NUM
cana-5933	314	3	−	−	PROPN
cana-5933	314	4	𝜋12	𝜋12	NOUN
cana-5933	314	5	.	.	PUNCT
cana-5933	315	1	1	1	NUM
cana-5933	315	2	−	−	NOUN
cana-5933	315	3	𝜃21	𝜃21	NOUN
cana-5933	315	4	)	)	PUNCT
cana-5933	315	5	}	}	PUNCT
cana-5933	315	6	𝑋13=	𝑋13=	PROPN
cana-5933	315	7	{	{	PUNCT
cana-5933	315	8	(	(	PUNCT
cana-5933	315	9	𝜋13	𝜋13	NOUN
cana-5933	315	10	.	.	PUNCT
cana-5933	315	11	𝜃31	𝜃31	PROPN
cana-5933	315	12	)	)	PUNCT
cana-5933	315	13	,	,	PUNCT
cana-5933	315	14	(	(	PUNCT
cana-5933	315	15	1	1	NUM
cana-5933	315	16	−	−	NOUN
cana-5933	315	17	𝜋13	𝜋13	NOUN
cana-5933	315	18	+	+	CCONJ
cana-5933	315	19	1	1	NUM
cana-5933	315	20	−	−	NOUN
cana-5933	315	21	𝜃31	𝜃31	NUM
cana-5933	315	22	)	)	PUNCT
cana-5933	315	23	−	−	PROPN
cana-5933	316	1	(	(	PUNCT
cana-5933	316	2	1	1	NUM
cana-5933	316	3	−	−	NOUN
cana-5933	316	4	𝜋13	𝜋13	NOUN
cana-5933	316	5	.	.	PUNCT
cana-5933	317	1	1	1	NUM
cana-5933	317	2	−	−	NOUN
cana-5933	317	3	𝜃31	𝜃31	NUM
cana-5933	317	4	)	)	PUNCT
cana-5933	317	5	}	}	PUNCT
cana-5933	317	6	𝑋21=	𝑋21=	X
cana-5933	317	7	{	{	PUNCT
cana-5933	317	8	(	(	PUNCT
cana-5933	317	9	𝜋21	𝜋21	PROPN
cana-5933	317	10	.	.	PUNCT
cana-5933	317	11	𝜃12	𝜃12	PROPN
cana-5933	317	12	)	)	PUNCT
cana-5933	317	13	,	,	PUNCT
cana-5933	317	14	(	(	PUNCT
cana-5933	317	15	1	1	NUM
cana-5933	317	16	−	−	NOUN
cana-5933	317	17	𝜋21	𝜋21	NOUN
cana-5933	317	18	+	+	CCONJ
cana-5933	317	19	1	1	NUM
cana-5933	317	20	−	−	NOUN
cana-5933	317	21	𝜃12	𝜃12	ADJ
cana-5933	317	22	)	)	PUNCT
cana-5933	317	23	−	−	PROPN
cana-5933	318	1	(	(	PUNCT
cana-5933	318	2	1	1	NUM
cana-5933	318	3	−	−	NOUN
cana-5933	318	4	𝜋21	𝜋21	PROPN
cana-5933	318	5	.	.	PUNCT
cana-5933	319	1	1	1	NUM
cana-5933	319	2	−	−	NOUN
cana-5933	319	3	𝜃12	𝜃12	ADJ
cana-5933	319	4	)	)	PUNCT
cana-5933	319	5	}	}	PUNCT
cana-5933	319	6	𝑋22=	𝑋22=	PROPN
cana-5933	319	7	{	{	PUNCT
cana-5933	319	8	(	(	PUNCT
cana-5933	319	9	𝜋22	𝜋22	NOUN
cana-5933	319	10	.	.	PUNCT
cana-5933	319	11	𝜃22	𝜃22	NOUN
cana-5933	319	12	)	)	PUNCT
cana-5933	319	13	,	,	PUNCT
cana-5933	319	14	(	(	PUNCT
cana-5933	319	15	1	1	NUM
cana-5933	319	16	−	−	NOUN
cana-5933	319	17	𝜋22	𝜋22	NOUN
cana-5933	319	18	+	+	CCONJ
cana-5933	319	19	1	1	NUM
cana-5933	319	20	−	−	NUM
cana-5933	319	21	𝜃22	𝜃22	NOUN
cana-5933	319	22	)	)	PUNCT
cana-5933	319	23	−	−	PROPN
cana-5933	319	24	(	(	PUNCT
cana-5933	319	25	1	1	NUM
cana-5933	319	26	−	−	PROPN
cana-5933	319	27	𝜋22	𝜋22	NOUN
cana-5933	319	28	.	.	PUNCT
cana-5933	320	1	1	1	NUM
cana-5933	320	2	−	−	NUM
cana-5933	320	3	𝜃22	𝜃22	NOUN
cana-5933	320	4	)	)	PUNCT
cana-5933	320	5	}	}	PUNCT
cana-5933	320	6	𝑋23=	𝑋23=	NOUN
cana-5933	320	7	{	{	PUNCT
cana-5933	320	8	(	(	PUNCT
cana-5933	320	9	𝜋23	𝜋23	PROPN
cana-5933	320	10	.	.	PUNCT
cana-5933	320	11	𝜃32	𝜃32	PROPN
cana-5933	320	12	)	)	PUNCT
cana-5933	320	13	,	,	PUNCT
cana-5933	320	14	(	(	PUNCT
cana-5933	320	15	1	1	NUM
cana-5933	320	16	−	−	NOUN
cana-5933	320	17	𝜋23	𝜋23	ADJ
cana-5933	320	18	+	+	CCONJ
cana-5933	320	19	1	1	NUM
cana-5933	320	20	−	−	NOUN
cana-5933	320	21	𝜃32	𝜃32	NOUN
cana-5933	320	22	)	)	PUNCT
cana-5933	320	23	−	−	PROPN
cana-5933	321	1	(	(	PUNCT
cana-5933	321	2	1	1	NUM
cana-5933	321	3	−	−	NOUN
cana-5933	321	4	𝜋23	𝜋23	ADJ
cana-5933	321	5	.	.	PUNCT
cana-5933	322	1	1	1	NUM
cana-5933	322	2	−	−	NOUN
cana-5933	322	3	𝜃32	𝜃32	NOUN
cana-5933	322	4	)	)	PUNCT
cana-5933	322	5	}	}	PUNCT
cana-5933	322	6	𝑋31=	𝑋31=	X
cana-5933	322	7	{	{	PUNCT
cana-5933	322	8	(	(	PUNCT
cana-5933	322	9	𝜋31	𝜋31	PROPN
cana-5933	322	10	.	.	PUNCT
cana-5933	323	1	𝜃13	𝜃13	PROPN
cana-5933	323	2	)	)	PUNCT
cana-5933	323	3	,	,	PUNCT
cana-5933	323	4	(	(	PUNCT
cana-5933	323	5	1	1	NUM
cana-5933	323	6	−	−	NOUN
cana-5933	323	7	𝜋31	𝜋31	NOUN
cana-5933	323	8	+	+	CCONJ
cana-5933	323	9	1	1	NUM
cana-5933	323	10	−	−	NOUN
cana-5933	323	11	𝜃13	𝜃13	NOUN
cana-5933	323	12	)	)	PUNCT
cana-5933	323	13	−	−	PROPN
cana-5933	323	14	(	(	PUNCT
cana-5933	323	15	1	1	NUM
cana-5933	323	16	−	−	NOUN
cana-5933	323	17	𝜋31	𝜋31	NOUN
cana-5933	323	18	.	.	PUNCT
cana-5933	324	1	1	1	NUM
cana-5933	324	2	−	−	NOUN
cana-5933	324	3	𝜃13	𝜃13	NOUN
cana-5933	324	4	)	)	PUNCT
cana-5933	324	5	}	}	PUNCT
cana-5933	324	6	𝑋32=	𝑋32=	NOUN
cana-5933	324	7	{	{	PUNCT
cana-5933	324	8	(	(	PUNCT
cana-5933	324	9	𝜋32	𝜋32	NOUN
cana-5933	324	10	.	.	PUNCT
cana-5933	324	11	𝜃23	𝜃23	PROPN
cana-5933	324	12	)	)	PUNCT
cana-5933	324	13	,	,	PUNCT
cana-5933	324	14	(	(	PUNCT
cana-5933	324	15	1	1	NUM
cana-5933	324	16	−	−	NOUN
cana-5933	324	17	𝜋32	𝜋32	NOUN
cana-5933	324	18	+	+	CCONJ
cana-5933	324	19	1	1	NUM
cana-5933	324	20	−	−	NOUN
cana-5933	324	21	𝜃23	𝜃23	NOUN
cana-5933	324	22	)	)	PUNCT
cana-5933	324	23	−	−	PROPN
cana-5933	324	24	(	(	PUNCT
cana-5933	324	25	1	1	NUM
cana-5933	324	26	−	−	NOUN
cana-5933	324	27	𝜋32	𝜋32	NOUN
cana-5933	324	28	.	.	PUNCT
cana-5933	325	1	1	1	NUM
cana-5933	325	2	−	−	NOUN
cana-5933	325	3	𝜃23	𝜃23	NOUN
cana-5933	325	4	)	)	PUNCT
cana-5933	325	5	}	}	PUNCT
cana-5933	325	6	𝑋33=	𝑋33=	ADJ
cana-5933	325	7	{	{	PUNCT
cana-5933	325	8	(	(	PUNCT
cana-5933	325	9	𝜋33	𝜋33	NOUN
cana-5933	325	10	.	.	PUNCT
cana-5933	325	11	𝜃33	𝜃33	PROPN
cana-5933	325	12	)	)	PUNCT
cana-5933	325	13	,	,	PUNCT
cana-5933	325	14	(	(	PUNCT
cana-5933	325	15	1	1	NUM
cana-5933	325	16	−	−	NOUN
cana-5933	325	17	𝜋33	𝜋33	NOUN
cana-5933	325	18	+	+	CCONJ
cana-5933	325	19	1	1	NUM
cana-5933	325	20	−	−	NOUN
cana-5933	325	21	𝜃33	𝜃33	NOUN
cana-5933	325	22	)	)	PUNCT
cana-5933	325	23	−	−	PROPN
cana-5933	325	24	(	(	PUNCT
cana-5933	325	25	1	1	NUM
cana-5933	325	26	−	−	NOUN
cana-5933	325	27	𝜋33	𝜋33	NOUN
cana-5933	325	28	.	.	PUNCT
cana-5933	326	1	1	1	NUM
cana-5933	326	2	−	−	NOUN
cana-5933	326	3	𝜃33	𝜃33	NOUN
cana-5933	326	4	)	)	PUNCT
cana-5933	326	5	}	}	PUNCT
cana-5933	326	6	we	we	PRON
cana-5933	326	7	have	have	VERB
cana-5933	326	8	,	,	PUNCT
cana-5933	326	9			PROPN
cana-5933	326	10	�	�	PROPN
cana-5933	326	11	̅	̅	NOUN
cana-5933	326	12	�	�	NOUN
cana-5933	326	13	𝐸	𝐸	PROPN
cana-5933	326	14			PROPN
cana-5933	326	15			PROPN
cana-5933	326	16	�	�	PROPN
cana-5933	326	17	̅	̅	NOUN
cana-5933	326	18	�	�	NOUN
cana-5933	326	19	𝐹	𝐹	NOUN
cana-5933	326	20	=	=	PUNCT
cana-5933	326	21	(	(	PUNCT
cana-5933	326	22	𝑋11	𝑋11	PROPN
cana-5933	326	23	𝑋12	𝑋12	PROPN
cana-5933	326	24	𝑋13	𝑋13	PROPN
cana-5933	326	25	𝑋21	𝑋21	PROPN
cana-5933	326	26	𝑋22	𝑋22	VERB
cana-5933	326	27	𝑋23	𝑋23	PROPN
cana-5933	326	28	𝑋31	𝑋31	PROPN
cana-5933	326	29	𝑋32	𝑋32	PROPN
cana-5933	326	30	𝑋33	𝑋33	PROPN
cana-5933	326	31	)	)	PUNCT
cana-5933	326	32	is	be	AUX
cana-5933	326	33	also	also	ADV
cana-5933	326	34	intuitionistic	intuitionistic	ADJ
cana-5933	326	35	fuzzy	fuzzy	ADJ
cana-5933	326	36	matrix	matrix	NOUN
cana-5933	326	37	.	.	PUNCT
cana-5933	327	1	theorem	theorem	VERB
cana-5933	327	2	6.7.5	6.7.5	NUM
cana-5933	327	3	:	:	PUNCT
cana-5933	327	4	if	if	SCONJ
cana-5933	327	5	e	e	PROPN
cana-5933	327	6	and	and	CCONJ
cana-5933	327	7	f	f	PROPN
cana-5933	327	8	be	be	AUX
cana-5933	327	9	two	two	NUM
cana-5933	327	10	universal	universal	ADJ
cana-5933	327	11	sets	set	NOUN
cana-5933	327	12	.	.	PUNCT
cana-5933	328	1	for	for	ADP
cana-5933	328	2	every	every	DET
cana-5933	328	3	necessity	necessity	NOUN
cana-5933	328	4	function	function	NOUN
cana-5933	328	5	of	of	ADP
cana-5933	328	6	intuitionistic	intuitionistic	ADJ
cana-5933	328	7	fuzzy	fuzzy	ADJ
cana-5933	328	8	matrix	matrix	NOUN
cana-5933	328	9	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	328	10	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	328	11	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-5933	328	12	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	328	13	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	328	14	are	be	AUX
cana-5933	328	15	intuitionistic	intuitionistic	ADJ
cana-5933	328	16	fuzzy	fuzzy	ADJ
cana-5933	328	17	matrix	matrix	NOUN
cana-5933	328	18	in	in	ADP
cana-5933	328	19	e	e	PROPN
cana-5933	328	20	and	and	CCONJ
cana-5933	328	21	f	f	PROPN
cana-5933	328	22	then	then	ADV
cana-5933	328	23			PROPN
cana-5933	328	24	�	�	PROPN
cana-5933	328	25	̅	̅	NOUN
cana-5933	328	26	�	�	NOUN
cana-5933	328	27	𝐸	𝐸	PROPN
cana-5933	328	28	#	#	NOUN
cana-5933	328	29			PROPN
cana-5933	328	30	�	�	NOUN
cana-5933	328	31	̅	̅	NOUN
cana-5933	328	32	�	�	NOUN
cana-5933	328	33	𝐹	𝐹	PROPN
cana-5933	328	34	is	be	AUX
cana-5933	328	35	also	also	ADV
cana-5933	328	36	necessity	necessity	NOUN
cana-5933	328	37	function	function	NOUN
cana-5933	328	38	of	of	ADP
cana-5933	328	39	intuitionistic	intuitionistic	ADJ
cana-5933	328	40	fuzzy	fuzzy	ADJ
cana-5933	328	41	matrix	matrix	NOUN
cana-5933	328	42	.	.	PUNCT
cana-5933	329	1	proof	proof	NOUN
cana-5933	329	2	:	:	PUNCT
cana-5933	329	3	if	if	SCONJ
cana-5933	329	4	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	329	5	and	and	CCONJ
cana-5933	329	6	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	329	7	are	be	AUX
cana-5933	329	8	two	two	NUM
cana-5933	329	9	intuitionistic	intuitionistic	ADJ
cana-5933	329	10	fuzzy	fuzzy	ADJ
cana-5933	329	11	matrices	matrix	NOUN
cana-5933	329	12	sets	set	NOUN
cana-5933	329	13	over	over	ADP
cana-5933	329	14	different	different	ADJ
cana-5933	329	15	universes	universe	NOUN
cana-5933	329	16	e	e	PROPN
cana-5933	329	17	&	&	CCONJ
cana-5933	329	18	f	f	PROPN
cana-5933	329	19	and	and	CCONJ
cana-5933	329	20	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	329	21	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	329	22	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5933	329	23	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	329	24	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	329	25	are	be	AUX
cana-5933	329	26	also	also	ADV
cana-5933	329	27	intuitionistic	intuitionistic	ADJ
cana-5933	329	28	fuzzy	fuzzy	ADJ
cana-5933	329	29	matrices	matrix	NOUN
cana-5933	329	30	sets	set	NOUN
cana-5933	329	31	over	over	ADP
cana-5933	329	32	different	different	ADJ
cana-5933	329	33	universes	universe	NOUN
cana-5933	329	34	e	e	NOUN
cana-5933	329	35	and	and	CCONJ
cana-5933	329	36	f.	f.	PROPN
cana-5933	329	37	if	if	SCONJ
cana-5933	329	38	we	we	PRON
cana-5933	329	39	consider	consider	VERB
cana-5933	329	40	to	to	ADP
cana-5933	329	41	3×	3×	NUM
cana-5933	329	42	3	3	NUM
cana-5933	329	43	matrix	matrix	NOUN
cana-5933	329	44	.	.	PUNCT
cana-5933	330	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	330	2	=	=	SYM
cana-5933	330	3	(	(	PUNCT
cana-5933	330	4	(	(	PUNCT
cana-5933	330	5	𝜇11	𝜇11	ADJ
cana-5933	330	6	,	,	PUNCT
cana-5933	330	7	𝜋11	𝜋11	NOUN
cana-5933	330	8	)	)	PUNCT
cana-5933	330	9	(	(	PUNCT
cana-5933	330	10	𝜇12	𝜇12	NOUN
cana-5933	330	11	,	,	PUNCT
cana-5933	330	12	𝜋12	𝜋12	NOUN
cana-5933	330	13	)	)	PUNCT
cana-5933	330	14	(	(	PUNCT
cana-5933	330	15	𝜇13	𝜇13	NOUN
cana-5933	330	16	,	,	PUNCT
cana-5933	330	17	𝜋13	𝜋13	NOUN
cana-5933	330	18	)	)	PUNCT
cana-5933	330	19	(	(	PUNCT
cana-5933	330	20	𝜇21	𝜇21	NOUN
cana-5933	330	21	,	,	PUNCT
cana-5933	330	22	𝜋21	𝜋21	NOUN
cana-5933	330	23	)	)	PUNCT
cana-5933	330	24	(	(	PUNCT
cana-5933	330	25	𝜇22	𝜇22	NOUN
cana-5933	330	26	,	,	PUNCT
cana-5933	330	27	𝜋22	𝜋22	NOUN
cana-5933	330	28	)	)	PUNCT
cana-5933	330	29	(	(	PUNCT
cana-5933	330	30	𝜇23	𝜇23	PROPN
cana-5933	330	31	,	,	PUNCT
cana-5933	330	32	𝜋23	𝜋23	ADJ
cana-5933	330	33	)	)	PUNCT
cana-5933	330	34	(	(	PUNCT
cana-5933	330	35	𝜇31	𝜇31	PROPN
cana-5933	330	36	,	,	PUNCT
cana-5933	330	37	𝜋31	𝜋31	PROPN
cana-5933	330	38	)	)	PUNCT
cana-5933	330	39	(	(	PUNCT
cana-5933	330	40	𝜇32	𝜇32	NOUN
cana-5933	330	41	,	,	PUNCT
cana-5933	330	42	𝜋32	𝜋32	NOUN
cana-5933	330	43	)	)	PUNCT
cana-5933	330	44	(	(	PUNCT
cana-5933	330	45	𝜇33	𝜇33	NOUN
cana-5933	330	46	,	,	PUNCT
cana-5933	330	47	𝜋33	𝜋33	NOUN
cana-5933	330	48	)	)	PUNCT
cana-5933	330	49	)	)	PUNCT
cana-5933	330	50	and	and	CCONJ
cana-5933	330	51	𝐵𝐹=	𝐵𝐹=	NOUN
cana-5933	330	52	(	(	PUNCT
cana-5933	330	53	(	(	PUNCT
cana-5933	330	54	𝜗11	𝜗11	NOUN
cana-5933	330	55	,	,	PUNCT
cana-5933	330	56	𝜃11	𝜃11	NOUN
cana-5933	330	57	)	)	PUNCT
cana-5933	330	58	(	(	PUNCT
cana-5933	330	59	𝜗12	𝜗12	PROPN
cana-5933	330	60	,	,	PUNCT
cana-5933	330	61	𝜃12	𝜃12	NUM
cana-5933	330	62	)	)	PUNCT
cana-5933	330	63	(	(	PUNCT
cana-5933	330	64	𝜗13	𝜗13	PROPN
cana-5933	330	65	,	,	PUNCT
cana-5933	330	66	𝜃13	𝜃13	PROPN
cana-5933	330	67	)	)	PUNCT
cana-5933	330	68	(	(	PUNCT
cana-5933	330	69	𝜗21	𝜗21	NOUN
cana-5933	330	70	,	,	PUNCT
cana-5933	330	71	𝜃21	𝜃21	NOUN
cana-5933	330	72	)	)	PUNCT
cana-5933	330	73	(	(	PUNCT
cana-5933	330	74	𝜗22	𝜗22	PROPN
cana-5933	330	75	,	,	PUNCT
cana-5933	330	76	𝜃22	𝜃22	NOUN
cana-5933	330	77	)	)	PUNCT
cana-5933	330	78	(	(	PUNCT
cana-5933	330	79	𝜗23	𝜗23	PROPN
cana-5933	330	80	,	,	PUNCT
cana-5933	330	81	𝜃23	𝜃23	PROPN
cana-5933	330	82	)	)	PUNCT
cana-5933	330	83	(	(	PUNCT
cana-5933	330	84	𝜗31	𝜗31	NUM
cana-5933	330	85	,	,	PUNCT
cana-5933	330	86	𝜃31	𝜃31	NUM
cana-5933	330	87	)	)	PUNCT
cana-5933	330	88	(	(	PUNCT
cana-5933	330	89	𝜗32	𝜗32	PROPN
cana-5933	330	90	,	,	PUNCT
cana-5933	330	91	𝜃32	𝜃32	PROPN
cana-5933	330	92	)	)	PUNCT
cana-5933	330	93	(	(	PUNCT
cana-5933	330	94	𝜗33	𝜗33	NOUN
cana-5933	330	95	,	,	PUNCT
cana-5933	330	96	𝜃33	𝜃33	NUM
cana-5933	330	97	)	)	PUNCT
cana-5933	330	98	)	)	PUNCT
cana-5933	331	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	331	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	331	3	=	=	X
cana-5933	331	4	(	(	PUNCT
cana-5933	331	5	(	(	PUNCT
cana-5933	331	6	𝜋11	𝜋11	NOUN
cana-5933	331	7	,	,	PUNCT
cana-5933	331	8	𝜇11	𝜇11	NOUN
cana-5933	331	9	)	)	PUNCT
cana-5933	331	10	(	(	PUNCT
cana-5933	331	11	𝜋12	𝜋12	NOUN
cana-5933	331	12	,	,	PUNCT
cana-5933	331	13	𝜇12	𝜇12	NOUN
cana-5933	331	14	)	)	PUNCT
cana-5933	331	15	(	(	PUNCT
cana-5933	331	16	𝜋13	𝜋13	PROPN
cana-5933	331	17	,	,	PUNCT
cana-5933	331	18	𝜇13	𝜇13	NOUN
cana-5933	331	19	)	)	PUNCT
cana-5933	331	20	(	(	PUNCT
cana-5933	331	21	𝜋21	𝜋21	ADJ
cana-5933	331	22	,	,	PUNCT
cana-5933	331	23	𝜇21	𝜇21	NOUN
cana-5933	331	24	)	)	PUNCT
cana-5933	331	25	(	(	PUNCT
cana-5933	331	26	𝜋22	𝜋22	NOUN
cana-5933	331	27	,	,	PUNCT
cana-5933	331	28	𝜇22	𝜇22	PROPN
cana-5933	331	29	)	)	PUNCT
cana-5933	331	30	(	(	PUNCT
cana-5933	331	31	𝜋23	𝜋23	ADJ
cana-5933	331	32	,	,	PUNCT
cana-5933	331	33	𝜇23	𝜇23	NOUN
cana-5933	331	34	)	)	PUNCT
cana-5933	331	35	(	(	PUNCT
cana-5933	331	36	𝜋31	𝜋31	PROPN
cana-5933	331	37	,	,	PUNCT
cana-5933	331	38	𝜇31	𝜇31	NOUN
cana-5933	331	39	)	)	PUNCT
cana-5933	331	40	(	(	PUNCT
cana-5933	331	41	𝜋32	𝜋32	NOUN
cana-5933	331	42	,	,	PUNCT
cana-5933	331	43	𝜇32	𝜇32	NOUN
cana-5933	331	44	)	)	PUNCT
cana-5933	331	45	(	(	PUNCT
cana-5933	331	46	𝜋33	𝜋33	PROPN
cana-5933	331	47	,	,	PUNCT
cana-5933	331	48	𝜇33	𝜇33	NOUN
cana-5933	331	49	)	)	PUNCT
cana-5933	331	50	)	)	PUNCT
cana-5933	331	51	and	and	CCONJ
cana-5933	331	52	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	331	53	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	331	54	=(	=(	NOUN
cana-5933	331	55	(	(	PUNCT
cana-5933	331	56	𝜃11	𝜃11	ADJ
cana-5933	331	57	,	,	PUNCT
cana-5933	331	58	𝜗11	𝜗11	NOUN
cana-5933	331	59	)	)	PUNCT
cana-5933	331	60	(	(	PUNCT
cana-5933	331	61	𝜃12	𝜃12	ADJ
cana-5933	331	62	,	,	PUNCT
cana-5933	331	63	𝜗12	𝜗12	PROPN
cana-5933	331	64	)	)	PUNCT
cana-5933	331	65	(	(	PUNCT
cana-5933	331	66	𝜃13	𝜃13	PROPN
cana-5933	331	67	,	,	PUNCT
cana-5933	331	68	𝜗13	𝜗13	NOUN
cana-5933	331	69	)	)	PUNCT
cana-5933	331	70	(	(	PUNCT
cana-5933	331	71	𝜃21	𝜃21	NOUN
cana-5933	331	72	,	,	PUNCT
cana-5933	331	73	𝜗21	𝜗21	NOUN
cana-5933	331	74	)	)	PUNCT
cana-5933	331	75	(	(	PUNCT
cana-5933	331	76	𝜃22	𝜃22	NOUN
cana-5933	331	77	,	,	PUNCT
cana-5933	331	78	𝜗22	𝜗22	PROPN
cana-5933	331	79	)	)	PUNCT
cana-5933	331	80	(	(	PUNCT
cana-5933	331	81	𝜃23	𝜃23	PROPN
cana-5933	331	82	,	,	PUNCT
cana-5933	331	83	𝜗23	𝜗23	ADJ
cana-5933	331	84	)	)	PUNCT
cana-5933	331	85	(	(	PUNCT
cana-5933	331	86	𝜃31	𝜃31	PROPN
cana-5933	331	87	,	,	PUNCT
cana-5933	331	88	𝜗31	𝜗31	NUM
cana-5933	331	89	)	)	PUNCT
cana-5933	331	90	(	(	PUNCT
cana-5933	331	91	𝜃32	𝜃32	PROPN
cana-5933	331	92	,	,	PUNCT
cana-5933	331	93	𝜗32	𝜗32	PROPN
cana-5933	331	94	)	)	PUNCT
cana-5933	331	95	(	(	PUNCT
cana-5933	331	96	𝜃33	𝜃33	NOUN
cana-5933	331	97	,	,	PUNCT
cana-5933	331	98	𝜗33	𝜗33	NOUN
cana-5933	331	99	)	)	PUNCT
cana-5933	331	100	)	)	PUNCT
cana-5933	332	1	if	if	SCONJ
cana-5933	332	2	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	332	3	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	332	4	=	=	X
cana-5933	332	5	{	{	PUNCT
cana-5933	332	6	x	x	NOUN
cana-5933	332	7	,	,	PUNCT
cana-5933	332	8	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	332	9	)	)	PUNCT
cana-5933	332	10	,	,	PUNCT
cana-5933	332	11	𝜇(x	𝜇(x	X
cana-5933	332	12	):	):	PUNCT
cana-5933	332	13	xx	xx	PRON
cana-5933	332	14	}	}	PUNCT
cana-5933	332	15	and	and	CCONJ
cana-5933	332	16	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	332	17	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	332	18	=	=	PUNCT
cana-5933	332	19	{	{	PUNCT
cana-5933	332	20	y	y	PROPN
cana-5933	332	21	,	,	PUNCT
cana-5933	332	22	𝜃𝐴(y	𝜃𝐴(y	PROPN
cana-5933	332	23	)	)	PUNCT
cana-5933	332	24	,	,	PUNCT
cana-5933	332	25	𝜗𝐴(y	𝜗𝐴(y	PROPN
cana-5933	332	26	):	):	PUNCT
cana-5933	332	27	yy	yy	PROPN
cana-5933	332	28	}	}	PUNCT
cana-5933	332	29	are	be	AUX
cana-5933	332	30	two	two	NUM
cana-5933	332	31	also	also	ADV
cana-5933	332	32	intuitionistic	intuitionistic	ADJ
cana-5933	332	33	fuzzy	fuzzy	ADJ
cana-5933	332	34	matrices	matrix	NOUN
cana-5933	332	35	sets	set	NOUN
cana-5933	332	36	over	over	ADP
cana-5933	332	37	different	different	ADJ
cana-5933	332	38	universes	universe	NOUN
cana-5933	332	39	e	e	NOUN
cana-5933	332	40	and	and	CCONJ
cana-5933	332	41	f.	f.	PROPN
cana-5933	332	42	by	by	ADP
cana-5933	332	43	the	the	DET
cana-5933	332	44	definition	definition	NOUN
cana-5933	332	45	of	of	ADP
cana-5933	332	46	𝐴𝐸	𝐴𝐸	X
cana-5933	332	47	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	332	48	=	=	X
cana-5933	332	49	{	{	PUNCT
cana-5933	332	50	x	x	NOUN
cana-5933	332	51	,	,	PUNCT
cana-5933	332	52	πa(x	πa(x	NOUN
cana-5933	332	53	):	):	PUNCT
cana-5933	332	54	xx	xx	PRON
cana-5933	332	55	}	}	PUNCT
cana-5933	332	56	=	=	SYM
cana-5933	332	57	{	{	PUNCT
cana-5933	332	58	x	x	NOUN
cana-5933	332	59	,	,	PUNCT
cana-5933	332	60	πa(x	πa(x	NOUN
cana-5933	332	61	)	)	PUNCT
cana-5933	332	62	,	,	PUNCT
cana-5933	332	63	1	1	NUM
cana-5933	332	64	−	−	PROPN
cana-5933	332	65	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	332	66	):	):	PUNCT
cana-5933	332	67	xx	xx	NUM
cana-5933	332	68	}	}	PUNCT
cana-5933	332	69	and	and	CCONJ
cana-5933	332	70	𝐵𝐹	𝐵𝐹	NUM
cana-5933	332	71	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	332	72	=	=	SYM
cana-5933	332	73	{	{	PUNCT
cana-5933	332	74	y	y	PROPN
cana-5933	332	75	,	,	PUNCT
cana-5933	332	76	𝜃b(y	𝜃b(y	NUM
cana-5933	332	77	):	):	PUNCT
cana-5933	332	78	yy	yy	NOUN
cana-5933	332	79	}	}	PUNCT
cana-5933	332	80	=	=	SYM
cana-5933	332	81	{	{	PUNCT
cana-5933	332	82	y	y	PROPN
cana-5933	332	83	,	,	PUNCT
cana-5933	332	84	𝜃b(y	𝜃b(y	NUM
cana-5933	332	85	)	)	PUNCT
cana-5933	332	86	,	,	PUNCT
cana-5933	333	1	1	1	NUM
cana-5933	333	2	−	−	NOUN
cana-5933	333	3	𝜃𝐵(y	𝜃𝐵(y	NUM
cana-5933	333	4	):	):	PUNCT
cana-5933	333	5	yy	yy	NOUN
cana-5933	333	6	}	}	PUNCT
cana-5933	333	7	𝐴𝐸	𝐴𝐸	PUNCT
cana-5933	333	8	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	333	9	=	=	PUNCT
cana-5933	333	10	(	(	PUNCT
cana-5933	333	11	(	(	PUNCT
cana-5933	333	12	𝜋11	𝜋11	NOUN
cana-5933	333	13	,	,	PUNCT
cana-5933	333	14	1	1	NUM
cana-5933	333	15	−	−	NOUN
cana-5933	333	16	𝜋11	𝜋11	NOUN
cana-5933	333	17	)	)	PUNCT
cana-5933	333	18	(	(	PUNCT
cana-5933	333	19	𝜋12	𝜋12	NOUN
cana-5933	333	20	,	,	PUNCT
cana-5933	333	21	1	1	NUM
cana-5933	333	22	−	−	NOUN
cana-5933	333	23	𝜋12	𝜋12	NOUN
cana-5933	333	24	)	)	PUNCT
cana-5933	333	25	(	(	PUNCT
cana-5933	333	26	𝜋13	𝜋13	ADJ
cana-5933	333	27	,	,	PUNCT
cana-5933	333	28	1	1	NUM
cana-5933	333	29	−	−	NOUN
cana-5933	333	30	𝜋13	𝜋13	NOUN
cana-5933	333	31	)	)	PUNCT
cana-5933	333	32	(	(	PUNCT
cana-5933	333	33	𝜋21	𝜋21	VERB
cana-5933	333	34	,	,	PUNCT
cana-5933	333	35	1	1	NUM
cana-5933	333	36	−	−	NOUN
cana-5933	333	37	𝜋21	𝜋21	PROPN
cana-5933	333	38	)	)	PUNCT
cana-5933	333	39	(	(	PUNCT
cana-5933	333	40	𝜋22	𝜋22	NOUN
cana-5933	333	41	,	,	PUNCT
cana-5933	333	42	1	1	NUM
cana-5933	333	43	−	−	NOUN
cana-5933	333	44	𝜋22	𝜋22	NOUN
cana-5933	333	45	)	)	PUNCT
cana-5933	333	46	(	(	PUNCT
cana-5933	333	47	𝜋23	𝜋23	ADJ
cana-5933	333	48	,	,	PUNCT
cana-5933	333	49	1	1	NUM
cana-5933	333	50	−	−	NOUN
cana-5933	333	51	𝜋23	𝜋23	ADJ
cana-5933	333	52	)	)	PUNCT
cana-5933	333	53	(	(	PUNCT
cana-5933	333	54	𝜋31	𝜋31	PROPN
cana-5933	333	55	,	,	PUNCT
cana-5933	333	56	1	1	NUM
cana-5933	333	57	−	−	NOUN
cana-5933	333	58	𝜋31	𝜋31	NOUN
cana-5933	333	59	)	)	PUNCT
cana-5933	333	60	(	(	PUNCT
cana-5933	333	61	𝜋32	𝜋32	NOUN
cana-5933	333	62	,	,	PUNCT
cana-5933	333	63	1	1	NUM
cana-5933	333	64	−	−	NOUN
cana-5933	333	65	𝜋32	𝜋32	NOUN
cana-5933	333	66	)	)	PUNCT
cana-5933	333	67	(	(	PUNCT
cana-5933	333	68	𝜋33	𝜋33	NOUN
cana-5933	333	69	,	,	PUNCT
cana-5933	333	70	1	1	NUM
cana-5933	333	71	−	−	NOUN
cana-5933	333	72	𝜋33	𝜋33	NOUN
cana-5933	333	73	)	)	PUNCT
cana-5933	333	74	)	)	PUNCT
cana-5933	333	75	and	and	CCONJ
cana-5933	333	76	communications	communication	NOUN
cana-5933	333	77	on	on	ADP
cana-5933	333	78	applied	apply	VERB
cana-5933	333	79	nonlinear	nonlinear	ADJ
cana-5933	333	80	analysis	analysis	NOUN
cana-5933	333	81	issn	issn	NOUN
cana-5933	333	82	:	:	PUNCT
cana-5933	333	83	1074	1074	NUM
cana-5933	333	84	-	-	PUNCT
cana-5933	333	85	133x	133x	NUM
cana-5933	333	86	vol	vol	VERB
cana-5933	333	87	32	32	NUM
cana-5933	333	88	no	no	NOUN
cana-5933	333	89	.	.	PUNCT
cana-5933	334	1	10s	10	NOUN
cana-5933	334	2	(	(	PUNCT
cana-5933	334	3	2025	2025	NUM
cana-5933	334	4	)	)	PUNCT
cana-5933	334	5	3150	3150	NUM
cana-5933	334	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	334	7	𝐵𝐹	𝐵𝐹	PUNCT
cana-5933	335	1	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	335	2	=	=	X
cana-5933	335	3	(	(	PUNCT
cana-5933	335	4	(	(	PUNCT
cana-5933	335	5	𝜃11	𝜃11	ADJ
cana-5933	335	6	,	,	PUNCT
cana-5933	335	7	1	1	NUM
cana-5933	335	8	−	−	NOUN
cana-5933	335	9	𝜃11	𝜃11	NOUN
cana-5933	335	10	)	)	PUNCT
cana-5933	335	11	(	(	PUNCT
cana-5933	335	12	𝜃12	𝜃12	ADJ
cana-5933	335	13	,	,	PUNCT
cana-5933	335	14	1	1	NUM
cana-5933	335	15	−	−	NOUN
cana-5933	335	16	𝜃12	𝜃12	NUM
cana-5933	335	17	)	)	PUNCT
cana-5933	335	18	(	(	PUNCT
cana-5933	335	19	𝜃13	𝜃13	PROPN
cana-5933	335	20	,	,	PUNCT
cana-5933	335	21	1	1	NUM
cana-5933	335	22	−	−	NOUN
cana-5933	335	23	𝜃13	𝜃13	NOUN
cana-5933	335	24	)	)	PUNCT
cana-5933	335	25	(	(	PUNCT
cana-5933	335	26	𝜃21	𝜃21	NOUN
cana-5933	335	27	,	,	PUNCT
cana-5933	335	28	1	1	NUM
cana-5933	335	29	−	−	NOUN
cana-5933	335	30	𝜃21	𝜃21	NOUN
cana-5933	335	31	)	)	PUNCT
cana-5933	335	32	(	(	PUNCT
cana-5933	335	33	𝜃22	𝜃22	ADV
cana-5933	335	34	,	,	PUNCT
cana-5933	335	35	1	1	NUM
cana-5933	335	36	−	−	PROPN
cana-5933	335	37	𝜃22	𝜃22	NOUN
cana-5933	335	38	)	)	PUNCT
cana-5933	335	39	(	(	PUNCT
cana-5933	335	40	𝜃23	𝜃23	PROPN
cana-5933	335	41	,	,	PUNCT
cana-5933	335	42	1	1	NUM
cana-5933	335	43	−	−	PROPN
cana-5933	335	44	𝜃23	𝜃23	NOUN
cana-5933	335	45	)	)	PUNCT
cana-5933	335	46	(	(	PUNCT
cana-5933	335	47	𝜃31	𝜃31	PROPN
cana-5933	335	48	,	,	PUNCT
cana-5933	335	49	1	1	NUM
cana-5933	335	50	−	−	NOUN
cana-5933	335	51	𝜃31	𝜃31	NUM
cana-5933	335	52	)	)	PUNCT
cana-5933	335	53	(	(	PUNCT
cana-5933	335	54	𝜃32	𝜃32	PROPN
cana-5933	335	55	,	,	PUNCT
cana-5933	335	56	1	1	NUM
cana-5933	335	57	−	−	NOUN
cana-5933	335	58	𝜃32	𝜃32	PROPN
cana-5933	335	59	)	)	PUNCT
cana-5933	335	60	(	(	PUNCT
cana-5933	335	61	𝜃33	𝜃33	NOUN
cana-5933	335	62	,	,	PUNCT
cana-5933	335	63	1	1	NUM
cana-5933	335	64	−	−	NOUN
cana-5933	335	65	𝜃33	𝜃33	NOUN
cana-5933	335	66	)	)	PUNCT
cana-5933	335	67	)	)	PUNCT
cana-5933	336	1	then	then	ADV
cana-5933	336	2	applying	apply	VERB
cana-5933	336	3	the	the	DET
cana-5933	336	4	formula	formula	NOUN
cana-5933	336	5	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	336	6	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	336	7	#	#	NOUN
cana-5933	336	8	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	336	9	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	336	10	=	=	PUNCT
cana-5933	336	11	{	{	PUNCT
cana-5933	336	12	〈	〈	PROPN
cana-5933	336	13	x	x	PROPN
cana-5933	336	14	,	,	PUNCT
cana-5933	336	15	y	y	PROPN
cana-5933	336	16	〉	〉	NOUN
cana-5933	336	17	,	,	PUNCT
cana-5933	336	18	2(𝜇𝐴̅̅	2(𝜇𝐴̅̅	NUM
cana-5933	336	19	̅̅	̅̅	NOUN
cana-5933	336	20	(	(	PUNCT
cana-5933	336	21	x	x	X
cana-5933	336	22	)	)	PUNCT
cana-5933	336	23	∙	∙	PROPN
cana-5933	336	24	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	336	25	̅̅	̅̅	NOUN
cana-5933	336	26	(	(	PUNCT
cana-5933	336	27	y	y	NOUN
cana-5933	336	28	)	)	PUNCT
cana-5933	336	29	)	)	PUNCT
cana-5933	337	1	𝜇𝐴̅̅	𝜇𝐴̅̅	PROPN
cana-5933	337	2	̅̅	̅̅	NOUN
cana-5933	337	3	(	(	PUNCT
cana-5933	337	4	x)+	x)+	NUM
cana-5933	337	5	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	337	6	̅̅	̅̅	NOUN
cana-5933	337	7	(	(	PUNCT
cana-5933	337	8	y	y	PROPN
cana-5933	337	9	)	)	PUNCT
cana-5933	337	10	,	,	PUNCT
cana-5933	337	11	2(𝜗𝐴	2(𝜗𝐴	NUM
cana-5933	337	12	̅̅	̅̅	PROPN
cana-5933	337	13	̅̅	̅̅	PROPN
cana-5933	337	14	(	(	PUNCT
cana-5933	337	15	x)∙𝜗𝐴	x)∙𝜗𝐴	PROPN
cana-5933	337	16	̅̅	̅̅	PROPN
cana-5933	337	17	̅̅	̅̅	PROPN
cana-5933	337	18	(	(	PUNCT
cana-5933	337	19	y	y	NOUN
cana-5933	337	20	)	)	PUNCT
cana-5933	337	21	)	)	PUNCT
cana-5933	337	22	(	(	PUNCT
cana-5933	337	23	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	337	24	̅̅	̅̅	PROPN
cana-5933	337	25	̅̅	̅̅	PROPN
cana-5933	337	26	(	(	PUNCT
cana-5933	337	27	x	x	X
cana-5933	337	28	)	)	PUNCT
cana-5933	337	29	+	+	ADJ
cana-5933	337	30	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	337	31	̅̅	̅̅	NOUN
cana-5933	337	32	̅̅	̅̅	PROPN
cana-5933	337	33	(	(	PUNCT
cana-5933	337	34	y	y	NOUN
cana-5933	337	35	)	)	PUNCT
cana-5933	337	36	:	:	PUNCT
cana-5933	337	37	xe	xe	PROPN
cana-5933	337	38	,	,	PUNCT
cana-5933	337	39	y𝐹},we	y𝐹},we	PROPN
cana-5933	337	40	have	have	VERB
cana-5933	337	41			PROPN
cana-5933	337	42	�	�	PROPN
cana-5933	337	43	̅	̅	NOUN
cana-5933	337	44	�	�	NOUN
cana-5933	337	45	𝐸	𝐸	PROPN
cana-5933	337	46	#	#	NOUN
cana-5933	337	47			PROPN
cana-5933	337	48	�	�	PROPN
cana-5933	337	49	̅	̅	NOUN
cana-5933	337	50	�	�	NOUN
cana-5933	337	51	𝐹	𝐹	NOUN
cana-5933	337	52	=	=	PUNCT
cana-5933	337	53	(	(	PUNCT
cana-5933	337	54	(	(	PUNCT
cana-5933	337	55	𝜋11	𝜋11	NOUN
cana-5933	337	56	,	,	PUNCT
cana-5933	337	57	1	1	NUM
cana-5933	337	58	−	−	NOUN
cana-5933	337	59	𝜋11	𝜋11	NOUN
cana-5933	337	60	)	)	PUNCT
cana-5933	337	61	(	(	PUNCT
cana-5933	337	62	𝜋12	𝜋12	NOUN
cana-5933	337	63	,	,	PUNCT
cana-5933	337	64	1	1	NUM
cana-5933	337	65	−	−	NOUN
cana-5933	337	66	𝜋12	𝜋12	NOUN
cana-5933	337	67	)	)	PUNCT
cana-5933	337	68	(	(	PUNCT
cana-5933	337	69	𝜋13	𝜋13	ADJ
cana-5933	337	70	,	,	PUNCT
cana-5933	337	71	1	1	NUM
cana-5933	337	72	−	−	NOUN
cana-5933	337	73	𝜋13	𝜋13	NOUN
cana-5933	337	74	)	)	PUNCT
cana-5933	337	75	(	(	PUNCT
cana-5933	337	76	𝜋21	𝜋21	VERB
cana-5933	337	77	,	,	PUNCT
cana-5933	337	78	1	1	NUM
cana-5933	337	79	−	−	NOUN
cana-5933	337	80	𝜋21	𝜋21	PROPN
cana-5933	337	81	)	)	PUNCT
cana-5933	337	82	(	(	PUNCT
cana-5933	337	83	𝜋22	𝜋22	NOUN
cana-5933	337	84	,	,	PUNCT
cana-5933	337	85	1	1	NUM
cana-5933	337	86	−	−	NOUN
cana-5933	337	87	𝜋22	𝜋22	NOUN
cana-5933	337	88	)	)	PUNCT
cana-5933	337	89	(	(	PUNCT
cana-5933	337	90	𝜋23	𝜋23	ADJ
cana-5933	337	91	,	,	PUNCT
cana-5933	337	92	1	1	NUM
cana-5933	337	93	−	−	NOUN
cana-5933	337	94	𝜋23	𝜋23	ADJ
cana-5933	337	95	)	)	PUNCT
cana-5933	337	96	(	(	PUNCT
cana-5933	337	97	𝜋31	𝜋31	PROPN
cana-5933	337	98	,	,	PUNCT
cana-5933	337	99	1	1	NUM
cana-5933	337	100	−	−	NOUN
cana-5933	337	101	𝜋31	𝜋31	NOUN
cana-5933	337	102	)	)	PUNCT
cana-5933	337	103	(	(	PUNCT
cana-5933	337	104	𝜋32	𝜋32	NOUN
cana-5933	337	105	,	,	PUNCT
cana-5933	337	106	1	1	NUM
cana-5933	337	107	−	−	NOUN
cana-5933	337	108	𝜋32	𝜋32	NOUN
cana-5933	337	109	)	)	PUNCT
cana-5933	337	110	(	(	PUNCT
cana-5933	337	111	𝜋33	𝜋33	NOUN
cana-5933	337	112	,	,	PUNCT
cana-5933	337	113	1	1	NUM
cana-5933	337	114	−	−	NOUN
cana-5933	337	115	𝜋33	𝜋33	NOUN
cana-5933	337	116	)	)	PUNCT
cana-5933	337	117	)	)	PUNCT
cana-5933	338	1	#	#	NOUN
cana-5933	338	2	(	(	PUNCT
cana-5933	338	3	(	(	PUNCT
cana-5933	338	4	𝜃11	𝜃11	ADJ
cana-5933	338	5	,	,	PUNCT
cana-5933	338	6	1	1	NUM
cana-5933	338	7	−	−	NOUN
cana-5933	338	8	𝜃11	𝜃11	NOUN
cana-5933	338	9	)	)	PUNCT
cana-5933	338	10	(	(	PUNCT
cana-5933	338	11	𝜃12	𝜃12	ADJ
cana-5933	338	12	,	,	PUNCT
cana-5933	338	13	1	1	NUM
cana-5933	338	14	−	−	NOUN
cana-5933	338	15	𝜃12	𝜃12	NUM
cana-5933	338	16	)	)	PUNCT
cana-5933	338	17	(	(	PUNCT
cana-5933	338	18	𝜃13	𝜃13	PROPN
cana-5933	338	19	,	,	PUNCT
cana-5933	338	20	1	1	NUM
cana-5933	338	21	−	−	NOUN
cana-5933	338	22	𝜃13	𝜃13	NOUN
cana-5933	338	23	)	)	PUNCT
cana-5933	338	24	(	(	PUNCT
cana-5933	338	25	𝜃21	𝜃21	NOUN
cana-5933	338	26	,	,	PUNCT
cana-5933	338	27	1	1	NUM
cana-5933	338	28	−	−	NOUN
cana-5933	338	29	𝜃21	𝜃21	NOUN
cana-5933	338	30	)	)	PUNCT
cana-5933	338	31	(	(	PUNCT
cana-5933	338	32	𝜃22	𝜃22	ADV
cana-5933	338	33	,	,	PUNCT
cana-5933	338	34	1	1	NUM
cana-5933	338	35	−	−	PROPN
cana-5933	338	36	𝜃22	𝜃22	NOUN
cana-5933	338	37	)	)	PUNCT
cana-5933	338	38	(	(	PUNCT
cana-5933	338	39	𝜃23	𝜃23	PROPN
cana-5933	338	40	,	,	PUNCT
cana-5933	338	41	1	1	NUM
cana-5933	338	42	−	−	PROPN
cana-5933	338	43	𝜃23	𝜃23	NOUN
cana-5933	338	44	)	)	PUNCT
cana-5933	338	45	(	(	PUNCT
cana-5933	338	46	𝜃31	𝜃31	PROPN
cana-5933	338	47	,	,	PUNCT
cana-5933	338	48	1	1	NUM
cana-5933	338	49	−	−	NOUN
cana-5933	338	50	𝜃31	𝜃31	NUM
cana-5933	338	51	)	)	PUNCT
cana-5933	338	52	(	(	PUNCT
cana-5933	338	53	𝜃32	𝜃32	PROPN
cana-5933	338	54	,	,	PUNCT
cana-5933	338	55	1	1	NUM
cana-5933	338	56	−	−	NOUN
cana-5933	338	57	𝜃32	𝜃32	PROPN
cana-5933	338	58	)	)	PUNCT
cana-5933	338	59	(	(	PUNCT
cana-5933	338	60	𝜃33	𝜃33	NOUN
cana-5933	338	61	,	,	PUNCT
cana-5933	338	62	1	1	NUM
cana-5933	338	63	−	−	NOUN
cana-5933	338	64	𝜃33	𝜃33	NOUN
cana-5933	338	65	)	)	PUNCT
cana-5933	338	66	)	)	PUNCT
cana-5933	339	1	where	where	SCONJ
cana-5933	339	2	,	,	PUNCT
cana-5933	339	3	𝑋11	𝑋11	PROPN
cana-5933	339	4	=(	=(	NOUN
cana-5933	339	5	(	(	PUNCT
cana-5933	339	6	𝜋11	𝜋11	NOUN
cana-5933	339	7	,	,	PUNCT
cana-5933	339	8	1	1	NUM
cana-5933	339	9	−	−	NOUN
cana-5933	339	10	𝜋11	𝜋11	NOUN
cana-5933	339	11	)	)	PUNCT
cana-5933	339	12	#	#	NOUN
cana-5933	339	13	(	(	PUNCT
cana-5933	339	14	𝜃11	𝜃11	ADJ
cana-5933	339	15	,	,	PUNCT
cana-5933	339	16	1	1	NUM
cana-5933	339	17	−	−	NOUN
cana-5933	339	18	𝜃11	𝜃11	NOUN
cana-5933	339	19	)	)	PUNCT
cana-5933	339	20	)	)	PUNCT
cana-5933	339	21	,	,	PUNCT
cana-5933	339	22	𝑋12=((𝜋12	𝑋12=((𝜋12	VERB
cana-5933	339	23	,	,	PUNCT
cana-5933	339	24	1	1	NUM
cana-5933	339	25	−	−	NOUN
cana-5933	339	26	𝜋12	𝜋12	NOUN
cana-5933	339	27	)	)	PUNCT
cana-5933	339	28	#	#	NOUN
cana-5933	339	29	(	(	PUNCT
cana-5933	339	30	𝜃21	𝜃21	NOUN
cana-5933	339	31	,	,	PUNCT
cana-5933	339	32	1	1	NUM
cana-5933	339	33	−	−	NOUN
cana-5933	339	34	𝜃21	𝜃21	NOUN
cana-5933	339	35	)	)	PUNCT
cana-5933	339	36	)	)	PUNCT
cana-5933	339	37	𝑋13=((𝜋13	𝑋13=((𝜋13	PROPN
cana-5933	339	38	,	,	PUNCT
cana-5933	339	39	1	1	NUM
cana-5933	339	40	−	−	NOUN
cana-5933	339	41	𝜋13	𝜋13	ADJ
cana-5933	339	42	)	)	PUNCT
cana-5933	339	43	#	#	NOUN
cana-5933	339	44	(	(	PUNCT
cana-5933	339	45	𝜃31	𝜃31	PROPN
cana-5933	339	46	,	,	PUNCT
cana-5933	339	47	1	1	NUM
cana-5933	339	48	−	−	NOUN
cana-5933	339	49	𝜃31	𝜃31	NUM
cana-5933	339	50	)	)	PUNCT
cana-5933	339	51	)	)	PUNCT
cana-5933	339	52	,	,	PUNCT
cana-5933	339	53	𝑋21=((𝜋21	𝑋21=((𝜋21	PROPN
cana-5933	339	54	,	,	PUNCT
cana-5933	339	55	1	1	NUM
cana-5933	339	56	−	−	NOUN
cana-5933	339	57	𝜋21	𝜋21	ADJ
cana-5933	339	58	)	)	PUNCT
cana-5933	339	59	#	#	NOUN
cana-5933	339	60	(	(	PUNCT
cana-5933	339	61	𝜃12	𝜃12	ADJ
cana-5933	339	62	,	,	PUNCT
cana-5933	339	63	1	1	NUM
cana-5933	339	64	−	−	NOUN
cana-5933	339	65	𝜃12	𝜃12	NUM
cana-5933	339	66	)	)	PUNCT
cana-5933	339	67	)	)	PUNCT
cana-5933	339	68	𝑋22=((𝜋22	𝑋22=((𝜋22	PROPN
cana-5933	339	69	,	,	PUNCT
cana-5933	339	70	1	1	NUM
cana-5933	339	71	−	−	NOUN
cana-5933	339	72	𝜋22	𝜋22	NOUN
cana-5933	339	73	)	)	PUNCT
cana-5933	339	74	#	#	NOUN
cana-5933	339	75	(	(	PUNCT
cana-5933	339	76	𝜃22	𝜃22	ADJ
cana-5933	339	77	,	,	PUNCT
cana-5933	339	78	1	1	NUM
cana-5933	339	79	−	−	NOUN
cana-5933	339	80	𝜃22	𝜃22	NOUN
cana-5933	339	81	)	)	PUNCT
cana-5933	339	82	)	)	PUNCT
cana-5933	339	83	,	,	PUNCT
cana-5933	339	84	𝑋23=((𝜋23	𝑋23=((𝜋23	PROPN
cana-5933	339	85	,	,	PUNCT
cana-5933	339	86	1	1	NUM
cana-5933	339	87	−	−	NOUN
cana-5933	339	88	𝜋23	𝜋23	ADJ
cana-5933	339	89	)	)	PUNCT
cana-5933	339	90	#	#	NOUN
cana-5933	339	91	(	(	PUNCT
cana-5933	339	92	𝜃32	𝜃32	PROPN
cana-5933	339	93	,	,	PUNCT
cana-5933	339	94	1	1	NUM
cana-5933	339	95	−	−	NOUN
cana-5933	339	96	𝜃32	𝜃32	NOUN
cana-5933	339	97	)	)	PUNCT
cana-5933	339	98	)	)	PUNCT
cana-5933	339	99	𝑋31=	𝑋31=	ADP
cana-5933	339	100	(	(	PUNCT
cana-5933	339	101	(	(	PUNCT
cana-5933	339	102	𝜋31	𝜋31	PROPN
cana-5933	339	103	,	,	PUNCT
cana-5933	339	104	1	1	NUM
cana-5933	339	105	−	−	NOUN
cana-5933	339	106	𝜋31	𝜋31	NOUN
cana-5933	339	107	)	)	PUNCT
cana-5933	339	108	#	#	NOUN
cana-5933	339	109	(	(	PUNCT
cana-5933	339	110	𝜃13	𝜃13	PROPN
cana-5933	339	111	,	,	PUNCT
cana-5933	339	112	1	1	NUM
cana-5933	339	113	−	−	NOUN
cana-5933	339	114	𝜃13	𝜃13	NOUN
cana-5933	339	115	)	)	PUNCT
cana-5933	339	116	)	)	PUNCT
cana-5933	339	117	,	,	PUNCT
cana-5933	339	118	𝑋32=((𝜋32	𝑋32=((𝜋32	PROPN
cana-5933	339	119	,	,	PUNCT
cana-5933	339	120	1	1	NUM
cana-5933	339	121	−	−	NOUN
cana-5933	339	122	𝜋32	𝜋32	NOUN
cana-5933	339	123	)	)	PUNCT
cana-5933	339	124	#	#	NOUN
cana-5933	339	125	(	(	PUNCT
cana-5933	339	126	𝜃23	𝜃23	PROPN
cana-5933	339	127	,	,	PUNCT
cana-5933	339	128	1	1	NUM
cana-5933	339	129	−	−	PROPN
cana-5933	339	130	𝜃23	𝜃23	NOUN
cana-5933	339	131	)	)	PUNCT
cana-5933	339	132	)	)	PUNCT
cana-5933	339	133	𝑋33=((𝜋33	𝑋33=((𝜋33	PROPN
cana-5933	339	134	,	,	PUNCT
cana-5933	339	135	1	1	NUM
cana-5933	339	136	−	−	NOUN
cana-5933	339	137	𝜋33	𝜋33	NOUN
cana-5933	339	138	)	)	PUNCT
cana-5933	339	139	#	#	NOUN
cana-5933	339	140	(	(	PUNCT
cana-5933	339	141	𝜃33	𝜃33	NOUN
cana-5933	339	142	,	,	PUNCT
cana-5933	339	143	1	1	NUM
cana-5933	339	144	−	−	NOUN
cana-5933	339	145	𝜃33	𝜃33	NOUN
cana-5933	339	146	)	)	PUNCT
cana-5933	339	147	)	)	PUNCT
cana-5933	339	148	now	now	ADV
cana-5933	339	149	applying	apply	VERB
cana-5933	339	150	the	the	DET
cana-5933	339	151	formula	formula	NOUN
cana-5933	339	152	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	339	153	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	339	154	#	#	NOUN
cana-5933	339	155	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	339	156	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	339	157	=	=	PUNCT
cana-5933	339	158	{	{	PUNCT
cana-5933	339	159	〈	〈	PROPN
cana-5933	339	160	x	x	PROPN
cana-5933	339	161	,	,	PUNCT
cana-5933	339	162	y	y	PROPN
cana-5933	339	163	〉	〉	NOUN
cana-5933	339	164	,	,	PUNCT
cana-5933	339	165	2(𝜇𝐴̅̅	2(𝜇𝐴̅̅	NUM
cana-5933	339	166	̅̅	̅̅	NOUN
cana-5933	339	167	(	(	PUNCT
cana-5933	339	168	x)∙	x)∙	PROPN
cana-5933	339	169	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	339	170	̅̅	̅̅	PROPN
cana-5933	339	171	(	(	PUNCT
cana-5933	339	172	y	y	NOUN
cana-5933	339	173	)	)	PUNCT
cana-5933	339	174	)	)	PUNCT
cana-5933	340	1	𝜇𝐴̅̅	𝜇𝐴̅̅	PROPN
cana-5933	340	2	̅̅	̅̅	NOUN
cana-5933	340	3	(	(	PUNCT
cana-5933	340	4	x)+	x)+	NUM
cana-5933	340	5	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	340	6	̅̅	̅̅	NOUN
cana-5933	340	7	(	(	PUNCT
cana-5933	340	8	y	y	PROPN
cana-5933	340	9	)	)	PUNCT
cana-5933	340	10	,	,	PUNCT
cana-5933	340	11	2((𝜗𝐴	2((𝜗𝐴	NUM
cana-5933	340	12	̅̅	̅̅	PROPN
cana-5933	340	13	̅̅	̅̅	PROPN
cana-5933	340	14	(	(	PUNCT
cana-5933	340	15	x)∙𝜗𝐴	x)∙𝜗𝐴	PROPN
cana-5933	340	16	̅̅	̅̅	PROPN
cana-5933	340	17	̅̅	̅̅	PROPN
cana-5933	340	18	(	(	PUNCT
cana-5933	340	19	y	y	NOUN
cana-5933	340	20	)	)	PUNCT
cana-5933	340	21	)	)	PUNCT
cana-5933	340	22	(	(	PUNCT
cana-5933	340	23	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	340	24	̅̅	̅̅	PROPN
cana-5933	340	25	̅̅	̅̅	PROPN
cana-5933	340	26	(	(	PUNCT
cana-5933	340	27	x	x	X
cana-5933	340	28	)	)	PUNCT
cana-5933	340	29	+	+	ADJ
cana-5933	340	30	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	340	31	̅̅	̅̅	NOUN
cana-5933	340	32	̅̅	̅̅	PROPN
cana-5933	340	33	(	(	PUNCT
cana-5933	340	34	y	y	NOUN
cana-5933	340	35	)	)	PUNCT
cana-5933	340	36	:	:	PUNCT
cana-5933	340	37	xe	xe	PROPN
cana-5933	340	38	,	,	PUNCT
cana-5933	340	39	y𝐹	y𝐹	PROPN
cana-5933	340	40	}	}	PUNCT
cana-5933	340	41	𝑋11=	𝑋11=	NOUN
cana-5933	340	42	{	{	PUNCT
cana-5933	340	43	2(𝜋11(x	2(𝜋11(x	NUM
cana-5933	340	44	)	)	PUNCT
cana-5933	340	45	.𝜃11(y	.𝜃11(y	VERB
cana-5933	340	46	)	)	PUNCT
cana-5933	340	47	)	)	PUNCT
cana-5933	340	48	𝜋11(x	𝜋11(x	NOUN
cana-5933	340	49	)	)	PUNCT
cana-5933	340	50	+	+	CCONJ
cana-5933	340	51	𝜃11(y	𝜃11(y	NUM
cana-5933	340	52	)	)	PUNCT
cana-5933	340	53	,	,	PUNCT
cana-5933	340	54	2(1−	2(1−	X
cana-5933	340	55	𝜋11(x	𝜋11(x	NOUN
cana-5933	340	56	)	)	PUNCT
cana-5933	340	57	.	.	PUNCT
cana-5933	341	1	1−𝜃11(y	1−𝜃11(y	NUM
cana-5933	341	2	)	)	PUNCT
cana-5933	341	3	)	)	PUNCT
cana-5933	342	1	1−	1−	NUM
cana-5933	342	2	𝜋11(x	𝜋11(x	NOUN
cana-5933	342	3	)	)	PUNCT
cana-5933	343	1	+	+	CCONJ
cana-5933	343	2	1−𝜃11(y	1−𝜃11(y	NUM
cana-5933	343	3	)	)	PUNCT
cana-5933	343	4	}	}	PUNCT
cana-5933	343	5	,	,	PUNCT
cana-5933	343	6	𝑋12=	𝑋12=	PROPN
cana-5933	343	7	{	{	PUNCT
cana-5933	343	8	2(𝜋12(x	2(𝜋12(x	NUM
cana-5933	343	9	)	)	PUNCT
cana-5933	343	10	.𝜃21(y	.𝜃21(y	NUM
cana-5933	343	11	)	)	PUNCT
cana-5933	343	12	)	)	PUNCT
cana-5933	343	13	𝜋12(x	𝜋12(x	PROPN
cana-5933	343	14	)	)	PUNCT
cana-5933	343	15	+	+	NUM
cana-5933	343	16	𝜃21(y	𝜃21(y	X
cana-5933	343	17	)	)	PUNCT
cana-5933	343	18	,	,	PUNCT
cana-5933	343	19	2(1−	2(1−	NUM
cana-5933	343	20	𝜋12(x	𝜋12(x	PROPN
cana-5933	343	21	)	)	PUNCT
cana-5933	343	22	.	.	PUNCT
cana-5933	344	1	1−𝜃21(y	1−𝜃21(y	NUM
cana-5933	344	2	)	)	PUNCT
cana-5933	344	3	)	)	PUNCT
cana-5933	345	1	1−	1−	NUM
cana-5933	345	2	𝜋12(x	𝜋12(x	PROPN
cana-5933	345	3	)	)	PUNCT
cana-5933	346	1	+	+	CCONJ
cana-5933	346	2	1−𝜃21(y	1−𝜃21(y	NUM
cana-5933	346	3	)	)	PUNCT
cana-5933	346	4	}	}	PUNCT
cana-5933	346	5	𝑋13=	𝑋13=	PROPN
cana-5933	346	6	{	{	PUNCT
cana-5933	346	7	2(𝜋13(x	2(𝜋13(x	NUM
cana-5933	346	8	)	)	PUNCT
cana-5933	346	9	.𝜃31(y	.𝜃31(y	NOUN
cana-5933	346	10	)	)	PUNCT
cana-5933	346	11	)	)	PUNCT
cana-5933	346	12	𝜋13(x	𝜋13(x	NOUN
cana-5933	346	13	)	)	PUNCT
cana-5933	346	14	+	+	NOUN
cana-5933	346	15	𝜃31(y	𝜃31(y	ADJ
cana-5933	346	16	)	)	PUNCT
cana-5933	346	17	,	,	PUNCT
cana-5933	346	18	2(1−	2(1−	X
cana-5933	346	19	𝜋13(x	𝜋13(x	NOUN
cana-5933	346	20	)	)	PUNCT
cana-5933	346	21	.	.	PUNCT
cana-5933	347	1	1−𝜃31(y	1−𝜃31(y	NUM
cana-5933	347	2	)	)	PUNCT
cana-5933	347	3	)	)	PUNCT
cana-5933	348	1	1−	1−	NUM
cana-5933	348	2	𝜋13(x	𝜋13(x	NOUN
cana-5933	348	3	)	)	PUNCT
cana-5933	348	4	+	+	NUM
cana-5933	348	5	1−𝜃31(y	1−𝜃31(y	NUM
cana-5933	348	6	)	)	PUNCT
cana-5933	348	7	}	}	PUNCT
cana-5933	348	8	,	,	PUNCT
cana-5933	348	9	𝑋21=	𝑋21=	X
cana-5933	348	10	{	{	PUNCT
cana-5933	348	11	2(𝜋21(x	2(𝜋21(x	NOUN
cana-5933	348	12	)	)	PUNCT
cana-5933	348	13	.𝜃12(y	.𝜃12(y	PROPN
cana-5933	348	14	)	)	PUNCT
cana-5933	348	15	)	)	PUNCT
cana-5933	348	16	𝜋21(x	𝜋21(x	NUM
cana-5933	348	17	)	)	PUNCT
cana-5933	348	18	+	+	CCONJ
cana-5933	348	19	𝜃12(y	𝜃12(y	ADJ
cana-5933	348	20	)	)	PUNCT
cana-5933	348	21	,	,	PUNCT
cana-5933	348	22	2(1−	2(1−	NUM
cana-5933	348	23	𝜋21(x	𝜋21(x	NUM
cana-5933	348	24	)	)	PUNCT
cana-5933	348	25	.	.	PUNCT
cana-5933	349	1	1−𝜃12(y	1−𝜃12(y	X
cana-5933	349	2	)	)	PUNCT
cana-5933	349	3	)	)	PUNCT
cana-5933	350	1	1−	1−	NUM
cana-5933	350	2	𝜋21(x	𝜋21(x	NOUN
cana-5933	350	3	)	)	PUNCT
cana-5933	351	1	+	+	CCONJ
cana-5933	351	2	1−𝜃12(y	1−𝜃12(y	X
cana-5933	351	3	)	)	PUNCT
cana-5933	351	4	}	}	PUNCT
cana-5933	351	5	𝑋22=	𝑋22=	PROPN
cana-5933	351	6	{	{	PUNCT
cana-5933	351	7	2(𝜋22(x	2(𝜋22(x	NUM
cana-5933	351	8	)	)	PUNCT
cana-5933	351	9	.𝜃22(y	.𝜃22(y	PROPN
cana-5933	351	10	)	)	PUNCT
cana-5933	351	11	)	)	PUNCT
cana-5933	351	12	𝜋22(x	𝜋22(x	NOUN
cana-5933	351	13	)	)	PUNCT
cana-5933	352	1	+	+	CCONJ
cana-5933	352	2	𝜃22(y	𝜃22(y	ADP
cana-5933	352	3	)	)	PUNCT
cana-5933	352	4	,	,	PUNCT
cana-5933	352	5	2(1−	2(1−	NUM
cana-5933	352	6	𝜋22(x	𝜋22(x	NOUN
cana-5933	352	7	)	)	PUNCT
cana-5933	352	8	.	.	PUNCT
cana-5933	353	1	1−𝜃22(y	1−𝜃22(y	NUM
cana-5933	353	2	)	)	PUNCT
cana-5933	353	3	)	)	PUNCT
cana-5933	353	4	1−	1−	NUM
cana-5933	353	5	𝜋22(x	𝜋22(x	NOUN
cana-5933	353	6	)	)	PUNCT
cana-5933	354	1	+	+	CCONJ
cana-5933	354	2	1−𝜃22(y	1−𝜃22(y	NUM
cana-5933	354	3	)	)	PUNCT
cana-5933	354	4	}	}	PUNCT
cana-5933	354	5	,	,	PUNCT
cana-5933	354	6	𝑋23=	𝑋23=	X
cana-5933	354	7	{	{	PUNCT
cana-5933	354	8	2(𝜋23(x	2(𝜋23(x	NUM
cana-5933	354	9	)	)	PUNCT
cana-5933	354	10	.𝜃32(y	.𝜃32(y	NOUN
cana-5933	354	11	)	)	PUNCT
cana-5933	354	12	)	)	PUNCT
cana-5933	354	13	𝜋23(x	𝜋23(x	PROPN
cana-5933	354	14	)	)	PUNCT
cana-5933	354	15	+	+	CCONJ
cana-5933	354	16	𝜃32(y	𝜃32(y	ADJ
cana-5933	354	17	)	)	PUNCT
cana-5933	354	18	,	,	PUNCT
cana-5933	354	19	2(1−	2(1−	NUM
cana-5933	354	20	𝜋23(x	𝜋23(x	NUM
cana-5933	354	21	)	)	PUNCT
cana-5933	354	22	.	.	PUNCT
cana-5933	355	1	1−𝜃32(y	1−𝜃32(y	NUM
cana-5933	355	2	)	)	PUNCT
cana-5933	355	3	)	)	PUNCT
cana-5933	355	4	1−	1−	NUM
cana-5933	355	5	𝜋23(x	𝜋23(x	PROPN
cana-5933	355	6	)	)	PUNCT
cana-5933	356	1	+	+	CCONJ
cana-5933	356	2	1−𝜃32(y	1−𝜃32(y	NUM
cana-5933	356	3	)	)	PUNCT
cana-5933	356	4	}	}	PUNCT
cana-5933	356	5	𝑋31=	𝑋31=	ADP
cana-5933	356	6	{	{	PUNCT
cana-5933	356	7	2(𝜋31(x	2(𝜋31(x	NUM
cana-5933	356	8	)	)	PUNCT
cana-5933	356	9	.𝜃13(y	.𝜃13(y	PROPN
cana-5933	356	10	)	)	PUNCT
cana-5933	356	11	)	)	PUNCT
cana-5933	356	12	𝜋31(x	𝜋31(x	NOUN
cana-5933	356	13	)	)	PUNCT
cana-5933	356	14	+	+	CCONJ
cana-5933	356	15	𝜃13(y	𝜃13(y	NOUN
cana-5933	356	16	)	)	PUNCT
cana-5933	356	17	,	,	PUNCT
cana-5933	356	18	2(1−	2(1−	NUM
cana-5933	356	19	𝜋31(x	𝜋31(x	NOUN
cana-5933	356	20	)	)	PUNCT
cana-5933	356	21	.	.	PUNCT
cana-5933	357	1	1−𝜃13(y	1−𝜃13(y	NUM
cana-5933	357	2	)	)	PUNCT
cana-5933	357	3	)	)	PUNCT
cana-5933	358	1	1−	1−	NUM
cana-5933	358	2	𝜋31(x	𝜋31(x	NOUN
cana-5933	358	3	)	)	PUNCT
cana-5933	359	1	+	+	NUM
cana-5933	359	2	1−𝜃13(y	1−𝜃13(y	NUM
cana-5933	359	3	)	)	PUNCT
cana-5933	359	4	}	}	PUNCT
cana-5933	359	5	,	,	PUNCT
cana-5933	359	6	𝑋32=	𝑋32=	X
cana-5933	359	7	{	{	PUNCT
cana-5933	359	8	2(𝜋32(x	2(𝜋32(x	NUM
cana-5933	359	9	)	)	PUNCT
cana-5933	359	10	.𝜃23(y	.𝜃23(y	NOUN
cana-5933	359	11	)	)	PUNCT
cana-5933	359	12	)	)	PUNCT
cana-5933	359	13	𝜋32(x	𝜋32(x	NOUN
cana-5933	359	14	)	)	PUNCT
cana-5933	360	1	+	+	CCONJ
cana-5933	360	2	𝜃23(y	𝜃23(y	NOUN
cana-5933	360	3	)	)	PUNCT
cana-5933	360	4	,	,	PUNCT
cana-5933	361	1	2(1−	2(1−	NUM
cana-5933	361	2	𝜋32(x	𝜋32(x	NOUN
cana-5933	361	3	)	)	PUNCT
cana-5933	361	4	.	.	PUNCT
cana-5933	362	1	1−𝜃23(y	1−𝜃23(y	NUM
cana-5933	362	2	)	)	PUNCT
cana-5933	362	3	)	)	PUNCT
cana-5933	363	1	1−	1−	NUM
cana-5933	363	2	𝜋32(x	𝜋32(x	NOUN
cana-5933	363	3	)	)	PUNCT
cana-5933	364	1	+	+	CCONJ
cana-5933	364	2	1−𝜃23(y	1−𝜃23(y	NUM
cana-5933	364	3	)	)	PUNCT
cana-5933	364	4	}	}	PUNCT
cana-5933	364	5	𝑋33=	𝑋33=	NOUN
cana-5933	364	6	{	{	PUNCT
cana-5933	364	7	2(𝜋33(x	2(𝜋33(x	NUM
cana-5933	364	8	)	)	PUNCT
cana-5933	364	9	.𝜃33(y	.𝜃33(y	PROPN
cana-5933	364	10	)	)	PUNCT
cana-5933	364	11	)	)	PUNCT
cana-5933	364	12	𝜋33(x	𝜋33(x	NOUN
cana-5933	364	13	)	)	PUNCT
cana-5933	364	14	+	+	CCONJ
cana-5933	364	15	𝜃33(y	𝜃33(y	NOUN
cana-5933	364	16	)	)	PUNCT
cana-5933	364	17	,	,	PUNCT
cana-5933	364	18	2(1−	2(1−	NUM
cana-5933	364	19	𝜋33(x	𝜋33(x	NOUN
cana-5933	364	20	)	)	PUNCT
cana-5933	364	21	.	.	PUNCT
cana-5933	365	1	1−𝜃33(y	1−𝜃33(y	NUM
cana-5933	365	2	)	)	PUNCT
cana-5933	365	3	)	)	PUNCT
cana-5933	366	1	1−	1−	NUM
cana-5933	366	2	𝜋33(x	𝜋33(x	NOUN
cana-5933	366	3	)	)	PUNCT
cana-5933	366	4	+	+	NUM
cana-5933	366	5	1−𝜃33(y	1−𝜃33(y	NUM
cana-5933	366	6	)	)	PUNCT
cana-5933	366	7	}	}	PUNCT
cana-5933	366	8	we	we	PRON
cana-5933	366	9	have	have	VERB
cana-5933	366	10	,	,	PUNCT
cana-5933	366	11	𝐴𝐸	𝐴𝐸	X
cana-5933	366	12	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	366	13	#	#	NOUN
cana-5933	366	14	𝐵𝐹	𝐵𝐹	PUNCT
cana-5933	366	15	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	367	1	=	=	X
cana-5933	368	1	(	(	PUNCT
cana-5933	368	2	𝑋11	𝑋11	PROPN
cana-5933	368	3	𝑋12	𝑋12	PROPN
cana-5933	368	4	𝑋13	𝑋13	PROPN
cana-5933	368	5	𝑋21	𝑋21	PROPN
cana-5933	368	6	𝑋22	𝑋22	VERB
cana-5933	368	7	𝑋23	𝑋23	PROPN
cana-5933	368	8	𝑋31	𝑋31	PROPN
cana-5933	368	9	𝑋32	𝑋32	PROPN
cana-5933	368	10	𝑋33	𝑋33	PROPN
cana-5933	368	11	)	)	PUNCT
cana-5933	368	12	is	be	AUX
cana-5933	368	13	also	also	ADV
cana-5933	368	14	intuitionistic	intuitionistic	ADJ
cana-5933	368	15	fuzzy	fuzzy	ADJ
cana-5933	368	16	matrix	matrix	NOUN
cana-5933	368	17	.	.	PUNCT
cana-5933	369	1	theorem	theorem	VERB
cana-5933	369	2	6.7.6	6.7.6	NUM
cana-5933	369	3	:	:	PUNCT
cana-5933	369	4	if	if	SCONJ
cana-5933	369	5	e	e	PROPN
cana-5933	369	6	and	and	CCONJ
cana-5933	369	7	f	f	PROPN
cana-5933	369	8	be	be	AUX
cana-5933	369	9	two	two	NUM
cana-5933	369	10	universal	universal	ADJ
cana-5933	369	11	sets	set	NOUN
cana-5933	369	12	.	.	PUNCT
cana-5933	370	1	for	for	ADP
cana-5933	370	2	every	every	DET
cana-5933	370	3	necessity	necessity	NOUN
cana-5933	370	4	function	function	NOUN
cana-5933	370	5	of	of	ADP
cana-5933	370	6	intuitionistic	intuitionistic	ADJ
cana-5933	370	7	fuzzy	fuzzy	ADJ
cana-5933	370	8	matrix	matrix	NOUN
cana-5933	370	9	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	370	10	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	370	11	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-5933	370	12	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	370	13	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	370	14	are	be	AUX
cana-5933	370	15	intuitionistic	intuitionistic	ADJ
cana-5933	370	16	fuzzy	fuzzy	ADJ
cana-5933	370	17	matrix	matrix	NOUN
cana-5933	370	18	in	in	ADP
cana-5933	370	19	e	e	PROPN
cana-5933	370	20	and	and	CCONJ
cana-5933	370	21	f	f	PROPN
cana-5933	370	22	then	then	ADV
cana-5933	370	23			PROPN
cana-5933	370	24	�	�	PROPN
cana-5933	370	25	̅	̅	NOUN
cana-5933	370	26	�	�	NOUN
cana-5933	370	27	𝐸	𝐸	NOUN
cana-5933	370	28	@	@	ADP
cana-5933	370	29			PROPN
cana-5933	370	30	�	�	PROPN
cana-5933	370	31	̅	̅	NOUN
cana-5933	370	32	�	�	NOUN
cana-5933	370	33	𝐹	𝐹	PROPN
cana-5933	370	34	is	be	AUX
cana-5933	370	35	also	also	ADV
cana-5933	370	36	necessity	necessity	NOUN
cana-5933	370	37	function	function	NOUN
cana-5933	370	38	of	of	ADP
cana-5933	370	39	intuitionistic	intuitionistic	ADJ
cana-5933	370	40	fuzzy	fuzzy	ADJ
cana-5933	370	41	matrix	matrix	NOUN
cana-5933	370	42	.	.	PUNCT
cana-5933	371	1	proof	proof	NOUN
cana-5933	371	2	:	:	PUNCT
cana-5933	371	3	if	if	SCONJ
cana-5933	371	4	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	371	5	and	and	CCONJ
cana-5933	371	6	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	371	7	are	be	AUX
cana-5933	371	8	two	two	NUM
cana-5933	371	9	intuitionistic	intuitionistic	ADJ
cana-5933	371	10	fuzzy	fuzzy	ADJ
cana-5933	371	11	matrices	matrix	NOUN
cana-5933	371	12	sets	set	NOUN
cana-5933	371	13	over	over	ADP
cana-5933	371	14	different	different	ADJ
cana-5933	371	15	universes	universe	NOUN
cana-5933	371	16	e	e	PROPN
cana-5933	371	17	&	&	CCONJ
cana-5933	371	18	f	f	PROPN
cana-5933	371	19	and	and	CCONJ
cana-5933	371	20	communications	communication	NOUN
cana-5933	371	21	on	on	ADP
cana-5933	371	22	applied	apply	VERB
cana-5933	371	23	nonlinear	nonlinear	ADJ
cana-5933	371	24	analysis	analysis	NOUN
cana-5933	371	25	issn	issn	NOUN
cana-5933	371	26	:	:	PUNCT
cana-5933	371	27	1074	1074	NUM
cana-5933	371	28	-	-	PUNCT
cana-5933	371	29	133x	133x	NUM
cana-5933	371	30	vol	vol	VERB
cana-5933	371	31	32	32	NUM
cana-5933	371	32	no	no	NOUN
cana-5933	371	33	.	.	PUNCT
cana-5933	372	1	10s	10	NOUN
cana-5933	372	2	(	(	PUNCT
cana-5933	372	3	2025	2025	NUM
cana-5933	372	4	)	)	PUNCT
cana-5933	372	5	3151	3151	NUM
cana-5933	372	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	372	7	𝐴𝐸	𝐴𝐸	PUNCT
cana-5933	372	8	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	372	9	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5933	372	10	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	373	1	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	373	2	are	be	AUX
cana-5933	373	3	also	also	ADV
cana-5933	373	4	intuitionistic	intuitionistic	ADJ
cana-5933	373	5	fuzzy	fuzzy	ADJ
cana-5933	373	6	matrices	matrix	NOUN
cana-5933	373	7	sets	set	NOUN
cana-5933	373	8	over	over	ADP
cana-5933	373	9	different	different	ADJ
cana-5933	373	10	universes	universe	NOUN
cana-5933	373	11	e	e	NOUN
cana-5933	373	12	and	and	CCONJ
cana-5933	373	13	f.	f.	PROPN
cana-5933	373	14	if	if	SCONJ
cana-5933	373	15	we	we	PRON
cana-5933	373	16	consider	consider	VERB
cana-5933	373	17	to	to	ADP
cana-5933	373	18	3×	3×	NUM
cana-5933	373	19	3	3	NUM
cana-5933	373	20	matrix	matrix	NOUN
cana-5933	373	21	.	.	PUNCT
cana-5933	374	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	374	2	=	=	SYM
cana-5933	374	3	(	(	PUNCT
cana-5933	374	4	(	(	PUNCT
cana-5933	374	5	𝜇11	𝜇11	ADJ
cana-5933	374	6	,	,	PUNCT
cana-5933	374	7	𝜋11	𝜋11	NOUN
cana-5933	374	8	)	)	PUNCT
cana-5933	374	9	(	(	PUNCT
cana-5933	374	10	𝜇12	𝜇12	NOUN
cana-5933	374	11	,	,	PUNCT
cana-5933	374	12	𝜋12	𝜋12	NOUN
cana-5933	374	13	)	)	PUNCT
cana-5933	374	14	(	(	PUNCT
cana-5933	374	15	𝜇13	𝜇13	NOUN
cana-5933	374	16	,	,	PUNCT
cana-5933	374	17	𝜋13	𝜋13	NOUN
cana-5933	374	18	)	)	PUNCT
cana-5933	374	19	(	(	PUNCT
cana-5933	374	20	𝜇21	𝜇21	NOUN
cana-5933	374	21	,	,	PUNCT
cana-5933	374	22	𝜋21	𝜋21	NOUN
cana-5933	374	23	)	)	PUNCT
cana-5933	374	24	(	(	PUNCT
cana-5933	374	25	𝜇22	𝜇22	NOUN
cana-5933	374	26	,	,	PUNCT
cana-5933	374	27	𝜋22	𝜋22	NOUN
cana-5933	374	28	)	)	PUNCT
cana-5933	374	29	(	(	PUNCT
cana-5933	374	30	𝜇23	𝜇23	PROPN
cana-5933	374	31	,	,	PUNCT
cana-5933	374	32	𝜋23	𝜋23	ADJ
cana-5933	374	33	)	)	PUNCT
cana-5933	374	34	(	(	PUNCT
cana-5933	374	35	𝜇31	𝜇31	PROPN
cana-5933	374	36	,	,	PUNCT
cana-5933	374	37	𝜋31	𝜋31	PROPN
cana-5933	374	38	)	)	PUNCT
cana-5933	374	39	(	(	PUNCT
cana-5933	374	40	𝜇32	𝜇32	NOUN
cana-5933	374	41	,	,	PUNCT
cana-5933	374	42	𝜋32	𝜋32	NOUN
cana-5933	374	43	)	)	PUNCT
cana-5933	374	44	(	(	PUNCT
cana-5933	374	45	𝜇33	𝜇33	NOUN
cana-5933	374	46	,	,	PUNCT
cana-5933	374	47	𝜋33	𝜋33	NOUN
cana-5933	374	48	)	)	PUNCT
cana-5933	374	49	)	)	PUNCT
cana-5933	374	50	and	and	CCONJ
cana-5933	374	51	𝐵𝐹=	𝐵𝐹=	NOUN
cana-5933	374	52	(	(	PUNCT
cana-5933	374	53	(	(	PUNCT
cana-5933	374	54	𝜗11	𝜗11	NOUN
cana-5933	374	55	,	,	PUNCT
cana-5933	374	56	𝜃11	𝜃11	NOUN
cana-5933	374	57	)	)	PUNCT
cana-5933	374	58	(	(	PUNCT
cana-5933	374	59	𝜗12	𝜗12	PROPN
cana-5933	374	60	,	,	PUNCT
cana-5933	374	61	𝜃12	𝜃12	NUM
cana-5933	374	62	)	)	PUNCT
cana-5933	374	63	(	(	PUNCT
cana-5933	374	64	𝜗13	𝜗13	PROPN
cana-5933	374	65	,	,	PUNCT
cana-5933	374	66	𝜃13	𝜃13	PROPN
cana-5933	374	67	)	)	PUNCT
cana-5933	374	68	(	(	PUNCT
cana-5933	374	69	𝜗21	𝜗21	NOUN
cana-5933	374	70	,	,	PUNCT
cana-5933	374	71	𝜃21	𝜃21	NOUN
cana-5933	374	72	)	)	PUNCT
cana-5933	374	73	(	(	PUNCT
cana-5933	374	74	𝜗22	𝜗22	PROPN
cana-5933	374	75	,	,	PUNCT
cana-5933	374	76	𝜃22	𝜃22	NOUN
cana-5933	374	77	)	)	PUNCT
cana-5933	374	78	(	(	PUNCT
cana-5933	374	79	𝜗23	𝜗23	PROPN
cana-5933	374	80	,	,	PUNCT
cana-5933	374	81	𝜃23	𝜃23	PROPN
cana-5933	374	82	)	)	PUNCT
cana-5933	374	83	(	(	PUNCT
cana-5933	374	84	𝜗31	𝜗31	NUM
cana-5933	374	85	,	,	PUNCT
cana-5933	374	86	𝜃31	𝜃31	NUM
cana-5933	374	87	)	)	PUNCT
cana-5933	374	88	(	(	PUNCT
cana-5933	374	89	𝜗32	𝜗32	PROPN
cana-5933	374	90	,	,	PUNCT
cana-5933	374	91	𝜃32	𝜃32	PROPN
cana-5933	374	92	)	)	PUNCT
cana-5933	374	93	(	(	PUNCT
cana-5933	374	94	𝜗33	𝜗33	NOUN
cana-5933	374	95	,	,	PUNCT
cana-5933	374	96	𝜃33	𝜃33	NUM
cana-5933	374	97	)	)	PUNCT
cana-5933	374	98	)	)	PUNCT
cana-5933	375	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	375	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	375	3	=	=	X
cana-5933	375	4	(	(	PUNCT
cana-5933	375	5	(	(	PUNCT
cana-5933	375	6	𝜋11	𝜋11	NOUN
cana-5933	375	7	,	,	PUNCT
cana-5933	375	8	𝜇11	𝜇11	NOUN
cana-5933	375	9	)	)	PUNCT
cana-5933	375	10	(	(	PUNCT
cana-5933	375	11	𝜋12	𝜋12	NOUN
cana-5933	375	12	,	,	PUNCT
cana-5933	375	13	𝜇12	𝜇12	NOUN
cana-5933	375	14	)	)	PUNCT
cana-5933	375	15	(	(	PUNCT
cana-5933	375	16	𝜋13	𝜋13	PROPN
cana-5933	375	17	,	,	PUNCT
cana-5933	375	18	𝜇13	𝜇13	NOUN
cana-5933	375	19	)	)	PUNCT
cana-5933	375	20	(	(	PUNCT
cana-5933	375	21	𝜋21	𝜋21	ADJ
cana-5933	375	22	,	,	PUNCT
cana-5933	375	23	𝜇21	𝜇21	NOUN
cana-5933	375	24	)	)	PUNCT
cana-5933	375	25	(	(	PUNCT
cana-5933	375	26	𝜋22	𝜋22	NOUN
cana-5933	375	27	,	,	PUNCT
cana-5933	375	28	𝜇22	𝜇22	PROPN
cana-5933	375	29	)	)	PUNCT
cana-5933	375	30	(	(	PUNCT
cana-5933	375	31	𝜋23	𝜋23	ADJ
cana-5933	375	32	,	,	PUNCT
cana-5933	375	33	𝜇23	𝜇23	NOUN
cana-5933	375	34	)	)	PUNCT
cana-5933	375	35	(	(	PUNCT
cana-5933	375	36	𝜋31	𝜋31	PROPN
cana-5933	375	37	,	,	PUNCT
cana-5933	375	38	𝜇31	𝜇31	NOUN
cana-5933	375	39	)	)	PUNCT
cana-5933	375	40	(	(	PUNCT
cana-5933	375	41	𝜋32	𝜋32	NOUN
cana-5933	375	42	,	,	PUNCT
cana-5933	375	43	𝜇32	𝜇32	NOUN
cana-5933	375	44	)	)	PUNCT
cana-5933	375	45	(	(	PUNCT
cana-5933	375	46	𝜋33	𝜋33	PROPN
cana-5933	375	47	,	,	PUNCT
cana-5933	375	48	𝜇33	𝜇33	NOUN
cana-5933	375	49	)	)	PUNCT
cana-5933	375	50	)	)	PUNCT
cana-5933	375	51	and	and	CCONJ
cana-5933	375	52	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	375	53	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	375	54	=	=	PUNCT
cana-5933	375	55	(	(	PUNCT
cana-5933	375	56	(	(	PUNCT
cana-5933	375	57	𝜃11	𝜃11	ADJ
cana-5933	375	58	,	,	PUNCT
cana-5933	375	59	𝜗11	𝜗11	NOUN
cana-5933	375	60	)	)	PUNCT
cana-5933	375	61	(	(	PUNCT
cana-5933	375	62	𝜃12	𝜃12	ADJ
cana-5933	375	63	,	,	PUNCT
cana-5933	375	64	𝜗12	𝜗12	PROPN
cana-5933	375	65	)	)	PUNCT
cana-5933	375	66	(	(	PUNCT
cana-5933	375	67	𝜃13	𝜃13	PROPN
cana-5933	375	68	,	,	PUNCT
cana-5933	375	69	𝜗13	𝜗13	NOUN
cana-5933	375	70	)	)	PUNCT
cana-5933	375	71	(	(	PUNCT
cana-5933	375	72	𝜃21	𝜃21	NOUN
cana-5933	375	73	,	,	PUNCT
cana-5933	375	74	𝜗21	𝜗21	NOUN
cana-5933	375	75	)	)	PUNCT
cana-5933	375	76	(	(	PUNCT
cana-5933	375	77	𝜃22	𝜃22	NOUN
cana-5933	375	78	,	,	PUNCT
cana-5933	375	79	𝜗22	𝜗22	PROPN
cana-5933	375	80	)	)	PUNCT
cana-5933	375	81	(	(	PUNCT
cana-5933	375	82	𝜃23	𝜃23	PROPN
cana-5933	375	83	,	,	PUNCT
cana-5933	375	84	𝜗23	𝜗23	ADJ
cana-5933	375	85	)	)	PUNCT
cana-5933	375	86	(	(	PUNCT
cana-5933	375	87	𝜃31	𝜃31	PROPN
cana-5933	375	88	,	,	PUNCT
cana-5933	375	89	𝜗31	𝜗31	NUM
cana-5933	375	90	)	)	PUNCT
cana-5933	375	91	(	(	PUNCT
cana-5933	375	92	𝜃32	𝜃32	PROPN
cana-5933	375	93	,	,	PUNCT
cana-5933	375	94	𝜗32	𝜗32	PROPN
cana-5933	375	95	)	)	PUNCT
cana-5933	375	96	(	(	PUNCT
cana-5933	375	97	𝜃33	𝜃33	NOUN
cana-5933	375	98	,	,	PUNCT
cana-5933	375	99	𝜗33	𝜗33	NOUN
cana-5933	375	100	)	)	PUNCT
cana-5933	375	101	)	)	PUNCT
cana-5933	376	1	if	if	SCONJ
cana-5933	376	2	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	376	3	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	376	4	=	=	X
cana-5933	376	5	{	{	PUNCT
cana-5933	376	6	x	x	NOUN
cana-5933	376	7	,	,	PUNCT
cana-5933	376	8	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	376	9	)	)	PUNCT
cana-5933	376	10	,	,	PUNCT
cana-5933	376	11	𝜇(x	𝜇(x	X
cana-5933	376	12	):	):	PUNCT
cana-5933	376	13	xx	xx	PRON
cana-5933	376	14	}	}	PUNCT
cana-5933	376	15	and	and	CCONJ
cana-5933	376	16	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	376	17	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	376	18	=	=	PUNCT
cana-5933	376	19	{	{	PUNCT
cana-5933	376	20	y	y	PROPN
cana-5933	376	21	,	,	PUNCT
cana-5933	376	22	𝜃𝐴(y	𝜃𝐴(y	PROPN
cana-5933	376	23	)	)	PUNCT
cana-5933	376	24	,	,	PUNCT
cana-5933	376	25	𝜗𝐴(y	𝜗𝐴(y	PROPN
cana-5933	376	26	):	):	PUNCT
cana-5933	376	27	yy	yy	PROPN
cana-5933	376	28	}	}	PUNCT
cana-5933	376	29	are	be	AUX
cana-5933	376	30	two	two	NUM
cana-5933	376	31	also	also	ADV
cana-5933	376	32	intuitionistic	intuitionistic	ADJ
cana-5933	376	33	fuzzy	fuzzy	ADJ
cana-5933	376	34	matrices	matrix	NOUN
cana-5933	376	35	sets	set	NOUN
cana-5933	376	36	over	over	ADP
cana-5933	376	37	different	different	ADJ
cana-5933	376	38	universes	universe	NOUN
cana-5933	376	39	e	e	NOUN
cana-5933	376	40	and	and	CCONJ
cana-5933	376	41	f.	f.	PROPN
cana-5933	376	42	by	by	ADP
cana-5933	376	43	the	the	DET
cana-5933	376	44	definition	definition	NOUN
cana-5933	376	45	of	of	ADP
cana-5933	376	46	𝐴𝐸	𝐴𝐸	X
cana-5933	376	47	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	376	48	=	=	X
cana-5933	376	49	{	{	PUNCT
cana-5933	376	50	x	x	NOUN
cana-5933	376	51	,	,	PUNCT
cana-5933	376	52	πa(x	πa(x	NOUN
cana-5933	376	53	):	):	PUNCT
cana-5933	376	54	xx	xx	PRON
cana-5933	376	55	}	}	PUNCT
cana-5933	376	56	=	=	SYM
cana-5933	376	57	{	{	PUNCT
cana-5933	376	58	x	x	NOUN
cana-5933	376	59	,	,	PUNCT
cana-5933	376	60	πa(x	πa(x	NOUN
cana-5933	376	61	)	)	PUNCT
cana-5933	376	62	,	,	PUNCT
cana-5933	376	63	1	1	NUM
cana-5933	376	64	−	−	PROPN
cana-5933	376	65	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	376	66	):	):	PUNCT
cana-5933	376	67	xx	xx	NUM
cana-5933	376	68	}	}	PUNCT
cana-5933	376	69	and	and	CCONJ
cana-5933	376	70	𝐵𝐹	𝐵𝐹	NUM
cana-5933	376	71	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	376	72	=	=	SYM
cana-5933	376	73	{	{	PUNCT
cana-5933	376	74	y	y	PROPN
cana-5933	376	75	,	,	PUNCT
cana-5933	376	76	𝜃b(y	𝜃b(y	NUM
cana-5933	376	77	):	):	PUNCT
cana-5933	376	78	yy	yy	NOUN
cana-5933	376	79	}	}	PUNCT
cana-5933	376	80	=	=	SYM
cana-5933	376	81	{	{	PUNCT
cana-5933	376	82	y	y	PROPN
cana-5933	376	83	,	,	PUNCT
cana-5933	376	84	𝜃b(y	𝜃b(y	NUM
cana-5933	376	85	)	)	PUNCT
cana-5933	376	86	,	,	PUNCT
cana-5933	377	1	1	1	NUM
cana-5933	377	2	−	−	NOUN
cana-5933	377	3	𝜃𝐵(y	𝜃𝐵(y	NUM
cana-5933	377	4	):	):	PUNCT
cana-5933	377	5	yy	yy	NOUN
cana-5933	377	6	}	}	PUNCT
cana-5933	377	7	𝐴𝐸	𝐴𝐸	PUNCT
cana-5933	377	8	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	377	9	=	=	PUNCT
cana-5933	377	10	(	(	PUNCT
cana-5933	377	11	(	(	PUNCT
cana-5933	377	12	𝜋11	𝜋11	NOUN
cana-5933	377	13	,	,	PUNCT
cana-5933	377	14	1	1	NUM
cana-5933	377	15	−	−	NOUN
cana-5933	377	16	𝜋11	𝜋11	NOUN
cana-5933	377	17	)	)	PUNCT
cana-5933	377	18	(	(	PUNCT
cana-5933	377	19	𝜋12	𝜋12	NOUN
cana-5933	377	20	,	,	PUNCT
cana-5933	377	21	1	1	NUM
cana-5933	377	22	−	−	NOUN
cana-5933	377	23	𝜋12	𝜋12	NOUN
cana-5933	377	24	)	)	PUNCT
cana-5933	377	25	(	(	PUNCT
cana-5933	377	26	𝜋13	𝜋13	ADJ
cana-5933	377	27	,	,	PUNCT
cana-5933	377	28	1	1	NUM
cana-5933	377	29	−	−	NOUN
cana-5933	377	30	𝜋13	𝜋13	NOUN
cana-5933	377	31	)	)	PUNCT
cana-5933	377	32	(	(	PUNCT
cana-5933	377	33	𝜋21	𝜋21	VERB
cana-5933	377	34	,	,	PUNCT
cana-5933	377	35	1	1	NUM
cana-5933	377	36	−	−	NOUN
cana-5933	377	37	𝜋21	𝜋21	PROPN
cana-5933	377	38	)	)	PUNCT
cana-5933	377	39	(	(	PUNCT
cana-5933	377	40	𝜋22	𝜋22	NOUN
cana-5933	377	41	,	,	PUNCT
cana-5933	377	42	1	1	NUM
cana-5933	377	43	−	−	NOUN
cana-5933	377	44	𝜋22	𝜋22	NOUN
cana-5933	377	45	)	)	PUNCT
cana-5933	377	46	(	(	PUNCT
cana-5933	377	47	𝜋23	𝜋23	ADJ
cana-5933	377	48	,	,	PUNCT
cana-5933	377	49	1	1	NUM
cana-5933	377	50	−	−	NOUN
cana-5933	377	51	𝜋23	𝜋23	ADJ
cana-5933	377	52	)	)	PUNCT
cana-5933	377	53	(	(	PUNCT
cana-5933	377	54	𝜋31	𝜋31	PROPN
cana-5933	377	55	,	,	PUNCT
cana-5933	377	56	1	1	NUM
cana-5933	377	57	−	−	NOUN
cana-5933	377	58	𝜋31	𝜋31	NOUN
cana-5933	377	59	)	)	PUNCT
cana-5933	377	60	(	(	PUNCT
cana-5933	377	61	𝜋32	𝜋32	NOUN
cana-5933	377	62	,	,	PUNCT
cana-5933	377	63	1	1	NUM
cana-5933	377	64	−	−	NOUN
cana-5933	377	65	𝜋32	𝜋32	NOUN
cana-5933	377	66	)	)	PUNCT
cana-5933	377	67	(	(	PUNCT
cana-5933	377	68	𝜋33	𝜋33	NOUN
cana-5933	377	69	,	,	PUNCT
cana-5933	377	70	1	1	NUM
cana-5933	377	71	−	−	NOUN
cana-5933	377	72	𝜋33	𝜋33	NOUN
cana-5933	377	73	)	)	PUNCT
cana-5933	377	74	)	)	PUNCT
cana-5933	377	75	and	and	CCONJ
cana-5933	377	76	𝐵𝐹	𝐵𝐹	NUM
cana-5933	377	77	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	377	78	=	=	X
cana-5933	377	79	(	(	PUNCT
cana-5933	377	80	(	(	PUNCT
cana-5933	377	81	𝜃11	𝜃11	ADJ
cana-5933	377	82	,	,	PUNCT
cana-5933	377	83	1	1	NUM
cana-5933	377	84	−	−	NOUN
cana-5933	377	85	𝜃11	𝜃11	NOUN
cana-5933	377	86	)	)	PUNCT
cana-5933	377	87	(	(	PUNCT
cana-5933	377	88	𝜃12	𝜃12	ADJ
cana-5933	377	89	,	,	PUNCT
cana-5933	377	90	1	1	NUM
cana-5933	377	91	−	−	NOUN
cana-5933	377	92	𝜃12	𝜃12	NUM
cana-5933	377	93	)	)	PUNCT
cana-5933	377	94	(	(	PUNCT
cana-5933	377	95	𝜃13	𝜃13	PROPN
cana-5933	377	96	,	,	PUNCT
cana-5933	377	97	1	1	NUM
cana-5933	377	98	−	−	NOUN
cana-5933	377	99	𝜃13	𝜃13	NOUN
cana-5933	377	100	)	)	PUNCT
cana-5933	377	101	(	(	PUNCT
cana-5933	377	102	𝜃21	𝜃21	NOUN
cana-5933	377	103	,	,	PUNCT
cana-5933	377	104	1	1	NUM
cana-5933	377	105	−	−	NOUN
cana-5933	377	106	𝜃21	𝜃21	NOUN
cana-5933	377	107	)	)	PUNCT
cana-5933	377	108	(	(	PUNCT
cana-5933	377	109	𝜃22	𝜃22	ADV
cana-5933	377	110	,	,	PUNCT
cana-5933	377	111	1	1	NUM
cana-5933	377	112	−	−	PROPN
cana-5933	377	113	𝜃22	𝜃22	NOUN
cana-5933	377	114	)	)	PUNCT
cana-5933	377	115	(	(	PUNCT
cana-5933	377	116	𝜃23	𝜃23	PROPN
cana-5933	377	117	,	,	PUNCT
cana-5933	377	118	1	1	NUM
cana-5933	377	119	−	−	PROPN
cana-5933	377	120	𝜃23	𝜃23	NOUN
cana-5933	377	121	)	)	PUNCT
cana-5933	377	122	(	(	PUNCT
cana-5933	377	123	𝜃31	𝜃31	PROPN
cana-5933	377	124	,	,	PUNCT
cana-5933	377	125	1	1	NUM
cana-5933	377	126	−	−	NOUN
cana-5933	377	127	𝜃31	𝜃31	NUM
cana-5933	377	128	)	)	PUNCT
cana-5933	377	129	(	(	PUNCT
cana-5933	377	130	𝜃32	𝜃32	PROPN
cana-5933	377	131	,	,	PUNCT
cana-5933	377	132	1	1	NUM
cana-5933	377	133	−	−	NOUN
cana-5933	377	134	𝜃32	𝜃32	PROPN
cana-5933	377	135	)	)	PUNCT
cana-5933	377	136	(	(	PUNCT
cana-5933	377	137	𝜃33	𝜃33	NOUN
cana-5933	377	138	,	,	PUNCT
cana-5933	377	139	1	1	NUM
cana-5933	377	140	−	−	NOUN
cana-5933	377	141	𝜃33	𝜃33	NOUN
cana-5933	377	142	)	)	PUNCT
cana-5933	377	143	)	)	PUNCT
cana-5933	378	1	then	then	ADV
cana-5933	378	2	applying	apply	VERB
cana-5933	378	3	the	the	DET
cana-5933	378	4	formula	formula	NOUN
cana-5933	378	5	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	378	6	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	378	7	@	@	ADP
cana-5933	378	8	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	378	9	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	378	10	=	=	X
cana-5933	378	11	{	{	PUNCT
cana-5933	378	12	〈	〈	PROPN
cana-5933	378	13	x	x	PROPN
cana-5933	378	14	,	,	PUNCT
cana-5933	378	15	y	y	PROPN
cana-5933	378	16	〉	〉	NOUN
cana-5933	378	17	,	,	PUNCT
cana-5933	378	18	𝜇𝐴̅̅	𝜇𝐴̅̅	PROPN
cana-5933	378	19	̅̅	̅̅	PROPN
cana-5933	378	20	(	(	PUNCT
cana-5933	378	21	x	x	X
cana-5933	378	22	)	)	PUNCT
cana-5933	378	23	∙	∙	PROPN
cana-5933	378	24	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	378	25	̅̅	̅̅	NOUN
cana-5933	378	26	(	(	PUNCT
cana-5933	378	27	y	y	NOUN
cana-5933	378	28	)	)	PUNCT
cana-5933	378	29	2	2	NUM
cana-5933	378	30	,	,	PUNCT
cana-5933	378	31	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	378	32	̅̅	̅̅	PROPN
cana-5933	378	33	̅̅	̅̅	PROPN
cana-5933	378	34	(	(	PUNCT
cana-5933	378	35	x	x	X
cana-5933	378	36	)	)	PUNCT
cana-5933	379	1	+	+	ADJ
cana-5933	379	2	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	379	3	̅̅	̅̅	NOUN
cana-5933	379	4	̅̅	̅̅	PROPN
cana-5933	379	5	(	(	PUNCT
cana-5933	379	6	y	y	NOUN
cana-5933	379	7	)	)	PUNCT
cana-5933	379	8	2	2	NUM
cana-5933	379	9	:	:	PUNCT
cana-5933	379	10	xe	xe	PROPN
cana-5933	379	11	,	,	PUNCT
cana-5933	379	12	y𝐹	y𝐹	PROPN
cana-5933	379	13	}	}	PUNCT
cana-5933	379	14	,	,	PUNCT
cana-5933	379	15	we	we	PRON
cana-5933	379	16	have	have	AUX
cana-5933	379	17			PROPN
cana-5933	379	18	�	�	NOUN
cana-5933	379	19	̅	̅	NOUN
cana-5933	379	20	�	�	NOUN
cana-5933	379	21	𝐸	𝐸	NOUN
cana-5933	379	22	@	@	ADP
cana-5933	379	23			PROPN
cana-5933	379	24	�	�	PROPN
cana-5933	379	25	̅	̅	NOUN
cana-5933	379	26	�	�	NOUN
cana-5933	379	27	𝐹	𝐹	NOUN
cana-5933	379	28	=	=	PUNCT
cana-5933	379	29	(	(	PUNCT
cana-5933	379	30	(	(	PUNCT
cana-5933	379	31	𝜋11	𝜋11	NOUN
cana-5933	379	32	,	,	PUNCT
cana-5933	379	33	1	1	NUM
cana-5933	379	34	−	−	NOUN
cana-5933	379	35	𝜋11	𝜋11	NOUN
cana-5933	379	36	)	)	PUNCT
cana-5933	379	37	(	(	PUNCT
cana-5933	379	38	𝜋12	𝜋12	NOUN
cana-5933	379	39	,	,	PUNCT
cana-5933	379	40	1	1	NUM
cana-5933	379	41	−	−	NOUN
cana-5933	379	42	𝜋12	𝜋12	NOUN
cana-5933	379	43	)	)	PUNCT
cana-5933	379	44	(	(	PUNCT
cana-5933	379	45	𝜋13	𝜋13	ADJ
cana-5933	379	46	,	,	PUNCT
cana-5933	379	47	1	1	NUM
cana-5933	379	48	−	−	NOUN
cana-5933	379	49	𝜋13	𝜋13	NOUN
cana-5933	379	50	)	)	PUNCT
cana-5933	379	51	(	(	PUNCT
cana-5933	379	52	𝜋21	𝜋21	VERB
cana-5933	379	53	,	,	PUNCT
cana-5933	379	54	1	1	NUM
cana-5933	379	55	−	−	NOUN
cana-5933	379	56	𝜋21	𝜋21	PROPN
cana-5933	379	57	)	)	PUNCT
cana-5933	379	58	(	(	PUNCT
cana-5933	379	59	𝜋22	𝜋22	NOUN
cana-5933	379	60	,	,	PUNCT
cana-5933	379	61	1	1	NUM
cana-5933	379	62	−	−	NOUN
cana-5933	379	63	𝜋22	𝜋22	NOUN
cana-5933	379	64	)	)	PUNCT
cana-5933	379	65	(	(	PUNCT
cana-5933	379	66	𝜋23	𝜋23	ADJ
cana-5933	379	67	,	,	PUNCT
cana-5933	379	68	1	1	NUM
cana-5933	379	69	−	−	NOUN
cana-5933	379	70	𝜋23	𝜋23	ADJ
cana-5933	379	71	)	)	PUNCT
cana-5933	379	72	(	(	PUNCT
cana-5933	379	73	𝜋31	𝜋31	PROPN
cana-5933	379	74	,	,	PUNCT
cana-5933	379	75	1	1	NUM
cana-5933	379	76	−	−	NOUN
cana-5933	379	77	𝜋31	𝜋31	NOUN
cana-5933	379	78	)	)	PUNCT
cana-5933	379	79	(	(	PUNCT
cana-5933	379	80	𝜋32	𝜋32	NOUN
cana-5933	379	81	,	,	PUNCT
cana-5933	379	82	1	1	NUM
cana-5933	379	83	−	−	NOUN
cana-5933	379	84	𝜋32	𝜋32	NOUN
cana-5933	379	85	)	)	PUNCT
cana-5933	379	86	(	(	PUNCT
cana-5933	379	87	𝜋33	𝜋33	NOUN
cana-5933	379	88	,	,	PUNCT
cana-5933	379	89	1	1	NUM
cana-5933	379	90	−	−	NOUN
cana-5933	379	91	𝜋33	𝜋33	NOUN
cana-5933	379	92	)	)	PUNCT
cana-5933	379	93	)	)	PUNCT
cana-5933	379	94	@	@	ADP
cana-5933	379	95	(	(	PUNCT
cana-5933	379	96	(	(	PUNCT
cana-5933	379	97	𝜃11	𝜃11	ADJ
cana-5933	379	98	,	,	PUNCT
cana-5933	379	99	1	1	NUM
cana-5933	379	100	−	−	NOUN
cana-5933	379	101	𝜃11	𝜃11	NOUN
cana-5933	379	102	)	)	PUNCT
cana-5933	379	103	(	(	PUNCT
cana-5933	379	104	𝜃12	𝜃12	ADJ
cana-5933	379	105	,	,	PUNCT
cana-5933	379	106	1	1	NUM
cana-5933	379	107	−	−	NOUN
cana-5933	379	108	𝜃12	𝜃12	NUM
cana-5933	379	109	)	)	PUNCT
cana-5933	379	110	(	(	PUNCT
cana-5933	379	111	𝜃13	𝜃13	PROPN
cana-5933	379	112	,	,	PUNCT
cana-5933	379	113	1	1	NUM
cana-5933	379	114	−	−	NOUN
cana-5933	379	115	𝜃13	𝜃13	NOUN
cana-5933	379	116	)	)	PUNCT
cana-5933	379	117	(	(	PUNCT
cana-5933	379	118	𝜃21	𝜃21	NOUN
cana-5933	379	119	,	,	PUNCT
cana-5933	379	120	1	1	NUM
cana-5933	379	121	−	−	NOUN
cana-5933	379	122	𝜃21	𝜃21	NOUN
cana-5933	379	123	)	)	PUNCT
cana-5933	379	124	(	(	PUNCT
cana-5933	379	125	𝜃22	𝜃22	ADV
cana-5933	379	126	,	,	PUNCT
cana-5933	379	127	1	1	NUM
cana-5933	379	128	−	−	PROPN
cana-5933	379	129	𝜃22	𝜃22	NOUN
cana-5933	379	130	)	)	PUNCT
cana-5933	379	131	(	(	PUNCT
cana-5933	379	132	𝜃23	𝜃23	PROPN
cana-5933	379	133	,	,	PUNCT
cana-5933	379	134	1	1	NUM
cana-5933	379	135	−	−	PROPN
cana-5933	379	136	𝜃23	𝜃23	NOUN
cana-5933	379	137	)	)	PUNCT
cana-5933	379	138	(	(	PUNCT
cana-5933	379	139	𝜃31	𝜃31	PROPN
cana-5933	379	140	,	,	PUNCT
cana-5933	379	141	1	1	NUM
cana-5933	379	142	−	−	NOUN
cana-5933	379	143	𝜃31	𝜃31	NUM
cana-5933	379	144	)	)	PUNCT
cana-5933	379	145	(	(	PUNCT
cana-5933	379	146	𝜃32	𝜃32	PROPN
cana-5933	379	147	,	,	PUNCT
cana-5933	379	148	1	1	NUM
cana-5933	379	149	−	−	NOUN
cana-5933	379	150	𝜃32	𝜃32	PROPN
cana-5933	379	151	)	)	PUNCT
cana-5933	379	152	(	(	PUNCT
cana-5933	379	153	𝜃33	𝜃33	NOUN
cana-5933	379	154	,	,	PUNCT
cana-5933	379	155	1	1	NUM
cana-5933	379	156	−	−	NOUN
cana-5933	379	157	𝜃33	𝜃33	NOUN
cana-5933	379	158	)	)	PUNCT
cana-5933	379	159	)	)	PUNCT
cana-5933	379	160	where	where	SCONJ
cana-5933	379	161	,	,	PUNCT
cana-5933	379	162	𝑋11	𝑋11	PROPN
cana-5933	379	163	=(	=(	NOUN
cana-5933	379	164	(	(	PUNCT
cana-5933	379	165	𝜋11	𝜋11	NOUN
cana-5933	379	166	,	,	PUNCT
cana-5933	379	167	1	1	NUM
cana-5933	379	168	−	−	NOUN
cana-5933	379	169	𝜋11	𝜋11	NOUN
cana-5933	379	170	)	)	PUNCT
cana-5933	379	171	@	@	ADP
cana-5933	379	172	(	(	PUNCT
cana-5933	379	173	𝜃11	𝜃11	ADJ
cana-5933	379	174	,	,	PUNCT
cana-5933	379	175	1	1	NUM
cana-5933	379	176	−	−	NOUN
cana-5933	379	177	𝜃11	𝜃11	NOUN
cana-5933	379	178	)	)	PUNCT
cana-5933	379	179	)	)	PUNCT
cana-5933	379	180	,	,	PUNCT
cana-5933	379	181	𝑋12=((𝜋12	𝑋12=((𝜋12	VERB
cana-5933	379	182	,	,	PUNCT
cana-5933	379	183	1	1	NUM
cana-5933	379	184	−	−	NOUN
cana-5933	379	185	𝜋12	𝜋12	NOUN
cana-5933	379	186	)	)	PUNCT
cana-5933	379	187	@	@	ADP
cana-5933	379	188	(	(	PUNCT
cana-5933	379	189	𝜃21	𝜃21	NOUN
cana-5933	379	190	,	,	PUNCT
cana-5933	379	191	1	1	NUM
cana-5933	379	192	−	−	NOUN
cana-5933	379	193	𝜃21	𝜃21	NOUN
cana-5933	379	194	)	)	PUNCT
cana-5933	379	195	)	)	PUNCT
cana-5933	379	196	𝑋13=((𝜋13	𝑋13=((𝜋13	PROPN
cana-5933	379	197	,	,	PUNCT
cana-5933	379	198	1	1	NUM
cana-5933	379	199	−	−	NOUN
cana-5933	379	200	𝜋13	𝜋13	NOUN
cana-5933	379	201	)	)	PUNCT
cana-5933	379	202	@	@	ADP
cana-5933	379	203	(	(	PUNCT
cana-5933	379	204	𝜃31	𝜃31	PROPN
cana-5933	379	205	,	,	PUNCT
cana-5933	379	206	1	1	NUM
cana-5933	379	207	−	−	NOUN
cana-5933	379	208	𝜃31	𝜃31	NUM
cana-5933	379	209	)	)	PUNCT
cana-5933	379	210	)	)	PUNCT
cana-5933	379	211	,	,	PUNCT
cana-5933	379	212	𝑋21=((𝜋21	𝑋21=((𝜋21	PROPN
cana-5933	379	213	,	,	PUNCT
cana-5933	379	214	1	1	NUM
cana-5933	379	215	−	−	NOUN
cana-5933	379	216	𝜋21	𝜋21	PROPN
cana-5933	379	217	)	)	PUNCT
cana-5933	379	218	@	@	ADP
cana-5933	379	219	(	(	PUNCT
cana-5933	379	220	𝜃12	𝜃12	ADJ
cana-5933	379	221	,	,	PUNCT
cana-5933	379	222	1	1	NUM
cana-5933	379	223	−	−	NOUN
cana-5933	379	224	𝜃12	𝜃12	NUM
cana-5933	379	225	)	)	PUNCT
cana-5933	379	226	)	)	PUNCT
cana-5933	380	1	𝑋22=((𝜋22	𝑋22=((𝜋22	PROPN
cana-5933	380	2	,	,	PUNCT
cana-5933	380	3	1	1	NUM
cana-5933	380	4	−	−	NOUN
cana-5933	380	5	𝜋22	𝜋22	NOUN
cana-5933	380	6	)	)	PUNCT
cana-5933	380	7	@	@	ADP
cana-5933	380	8	(	(	PUNCT
cana-5933	380	9	𝜃22	𝜃22	ADV
cana-5933	380	10	,	,	PUNCT
cana-5933	380	11	1	1	NUM
cana-5933	380	12	−	−	NOUN
cana-5933	380	13	𝜃22	𝜃22	NOUN
cana-5933	380	14	)	)	PUNCT
cana-5933	380	15	)	)	PUNCT
cana-5933	380	16	,	,	PUNCT
cana-5933	380	17	𝑋23=((𝜋23	𝑋23=((𝜋23	PROPN
cana-5933	380	18	,	,	PUNCT
cana-5933	380	19	1	1	NUM
cana-5933	380	20	−	−	NOUN
cana-5933	380	21	𝜋23	𝜋23	ADJ
cana-5933	380	22	)	)	PUNCT
cana-5933	380	23	@	@	ADP
cana-5933	381	1	(	(	PUNCT
cana-5933	381	2	𝜃32	𝜃32	PROPN
cana-5933	381	3	,	,	PUNCT
cana-5933	381	4	1	1	NUM
cana-5933	381	5	−	−	NOUN
cana-5933	381	6	𝜃32	𝜃32	NOUN
cana-5933	381	7	)	)	PUNCT
cana-5933	381	8	)	)	PUNCT
cana-5933	382	1	𝑋31=	𝑋31=	ADP
cana-5933	382	2	(	(	PUNCT
cana-5933	382	3	(	(	PUNCT
cana-5933	382	4	𝜋31	𝜋31	PROPN
cana-5933	382	5	,	,	PUNCT
cana-5933	382	6	1	1	NUM
cana-5933	382	7	−	−	NOUN
cana-5933	382	8	𝜋31	𝜋31	NOUN
cana-5933	382	9	)	)	PUNCT
cana-5933	382	10	@	@	ADP
cana-5933	382	11	(	(	PUNCT
cana-5933	382	12	𝜃13	𝜃13	INTJ
cana-5933	382	13	,	,	PUNCT
cana-5933	382	14	1	1	NUM
cana-5933	382	15	−	−	NOUN
cana-5933	382	16	𝜃13	𝜃13	NOUN
cana-5933	382	17	)	)	PUNCT
cana-5933	382	18	)	)	PUNCT
cana-5933	382	19	,	,	PUNCT
cana-5933	382	20	𝑋32=((𝜋32	𝑋32=((𝜋32	PROPN
cana-5933	382	21	,	,	PUNCT
cana-5933	382	22	1	1	NUM
cana-5933	382	23	−	−	NOUN
cana-5933	382	24	𝜋32	𝜋32	NOUN
cana-5933	382	25	)	)	PUNCT
cana-5933	382	26	@	@	ADP
cana-5933	382	27	(	(	PUNCT
cana-5933	382	28	𝜃23	𝜃23	PROPN
cana-5933	382	29	,	,	PUNCT
cana-5933	382	30	1	1	NUM
cana-5933	382	31	−	−	PROPN
cana-5933	382	32	𝜃23	𝜃23	NOUN
cana-5933	382	33	)	)	PUNCT
cana-5933	382	34	)	)	PUNCT
cana-5933	383	1	𝑋33=((𝜋33	𝑋33=((𝜋33	PROPN
cana-5933	383	2	,	,	PUNCT
cana-5933	383	3	1	1	NUM
cana-5933	383	4	−	−	NOUN
cana-5933	383	5	𝜋33	𝜋33	NOUN
cana-5933	383	6	)	)	PUNCT
cana-5933	383	7	@	@	ADP
cana-5933	383	8	(	(	PUNCT
cana-5933	383	9	𝜃33	𝜃33	NOUN
cana-5933	383	10	,	,	PUNCT
cana-5933	383	11	1	1	NUM
cana-5933	383	12	−	−	NOUN
cana-5933	383	13	𝜃33	𝜃33	NOUN
cana-5933	383	14	)	)	PUNCT
cana-5933	383	15	)	)	PUNCT
cana-5933	383	16	now	now	ADV
cana-5933	383	17	applying	apply	VERB
cana-5933	383	18	the	the	DET
cana-5933	383	19	formula	formula	NOUN
cana-5933	383	20	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	383	21	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	383	22	@	@	ADP
cana-5933	383	23	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	383	24	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	383	25	=	=	X
cana-5933	383	26	{	{	PUNCT
cana-5933	383	27	〈	〈	PROPN
cana-5933	383	28	x	x	PROPN
cana-5933	383	29	,	,	PUNCT
cana-5933	383	30	y	y	PROPN
cana-5933	383	31	〉	〉	NOUN
cana-5933	383	32	,	,	PUNCT
cana-5933	383	33	𝜇𝐴̅̅	𝜇𝐴̅̅	PROPN
cana-5933	383	34	̅̅	̅̅	PROPN
cana-5933	383	35	(	(	PUNCT
cana-5933	383	36	x	x	X
cana-5933	383	37	)	)	PUNCT
cana-5933	383	38	∙	∙	PROPN
cana-5933	383	39	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	383	40	̅̅	̅̅	NOUN
cana-5933	383	41	(	(	PUNCT
cana-5933	383	42	y	y	NOUN
cana-5933	383	43	)	)	PUNCT
cana-5933	383	44	2	2	NUM
cana-5933	383	45	,	,	PUNCT
cana-5933	383	46	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	383	47	̅̅	̅̅	PROPN
cana-5933	383	48	̅̅	̅̅	PROPN
cana-5933	383	49	(	(	PUNCT
cana-5933	383	50	x	x	X
cana-5933	383	51	)	)	PUNCT
cana-5933	383	52	+	+	ADJ
cana-5933	383	53	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	383	54	̅̅	̅̅	NOUN
cana-5933	383	55	̅̅	̅̅	PROPN
cana-5933	383	56	(	(	PUNCT
cana-5933	383	57	y	y	NOUN
cana-5933	383	58	)	)	PUNCT
cana-5933	383	59	2	2	NUM
cana-5933	383	60	:	:	PUNCT
cana-5933	383	61	xe	xe	PROPN
cana-5933	383	62	,	,	PUNCT
cana-5933	383	63	y𝐹	y𝐹	NOUN
cana-5933	383	64	}	}	PUNCT
cana-5933	383	65	communications	communication	NOUN
cana-5933	383	66	on	on	ADP
cana-5933	383	67	applied	apply	VERB
cana-5933	383	68	nonlinear	nonlinear	ADJ
cana-5933	383	69	analysis	analysis	NOUN
cana-5933	383	70	issn	issn	NOUN
cana-5933	383	71	:	:	PUNCT
cana-5933	383	72	1074	1074	NUM
cana-5933	383	73	-	-	PUNCT
cana-5933	383	74	133x	133x	NUM
cana-5933	383	75	vol	vol	VERB
cana-5933	383	76	32	32	NUM
cana-5933	383	77	no	no	NOUN
cana-5933	383	78	.	.	PUNCT
cana-5933	384	1	10s	10	NOUN
cana-5933	384	2	(	(	PUNCT
cana-5933	384	3	2025	2025	NUM
cana-5933	384	4	)	)	PUNCT
cana-5933	384	5	3152	3152	NUM
cana-5933	384	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	384	7	𝑋11=	𝑋11=	NOUN
cana-5933	384	8	{	{	PUNCT
cana-5933	384	9	𝜋11	𝜋11	PROPN
cana-5933	384	10	(	(	PUNCT
cana-5933	384	11	x	x	NOUN
cana-5933	384	12	)	)	PUNCT
cana-5933	384	13	.	.	PUNCT
cana-5933	385	1	𝜃11	𝜃11	NOUN
cana-5933	385	2	(	(	PUNCT
cana-5933	385	3	y	y	NOUN
cana-5933	385	4	)	)	PUNCT
cana-5933	385	5	2	2	NUM
cana-5933	385	6	,	,	PUNCT
cana-5933	385	7	1−	1−	NUM
cana-5933	385	8	𝜋11(x)+	𝜋11(x)+	NOUN
cana-5933	385	9	1−𝜃11(y	1−𝜃11(y	NUM
cana-5933	385	10	)	)	PUNCT
cana-5933	385	11	2	2	NUM
cana-5933	385	12	}	}	PUNCT
cana-5933	385	13	,	,	PUNCT
cana-5933	385	14	𝑋12=	𝑋12=	NOUN
cana-5933	385	15	{	{	PUNCT
cana-5933	385	16	𝜋12	𝜋12	NOUN
cana-5933	385	17	(	(	PUNCT
cana-5933	385	18	x	x	NOUN
cana-5933	385	19	)	)	PUNCT
cana-5933	385	20	.	.	PUNCT
cana-5933	386	1	𝜃21	𝜃21	PROPN
cana-5933	386	2	(	(	PUNCT
cana-5933	386	3	y	y	NOUN
cana-5933	386	4	)	)	PUNCT
cana-5933	386	5	2	2	NUM
cana-5933	386	6	,	,	PUNCT
cana-5933	386	7	1−	1−	NUM
cana-5933	386	8	𝜋12(x)+	𝜋12(x)+	NOUN
cana-5933	386	9	1−𝜃21(y	1−𝜃21(y	NUM
cana-5933	386	10	)	)	PUNCT
cana-5933	386	11	2	2	NUM
cana-5933	386	12	}	}	PUNCT
cana-5933	386	13	𝑋13=	𝑋13=	PROPN
cana-5933	386	14	{	{	PUNCT
cana-5933	386	15	𝜋13	𝜋13	PROPN
cana-5933	386	16	(	(	PUNCT
cana-5933	386	17	x	x	NOUN
cana-5933	386	18	)	)	PUNCT
cana-5933	386	19	.	.	PUNCT
cana-5933	387	1	𝜃31	𝜃31	NUM
cana-5933	387	2	(	(	PUNCT
cana-5933	387	3	y	y	NOUN
cana-5933	387	4	)	)	PUNCT
cana-5933	387	5	2	2	NUM
cana-5933	387	6	,	,	PUNCT
cana-5933	387	7	1−	1−	NUM
cana-5933	387	8	𝜋13(x)+	𝜋13(x)+	NOUN
cana-5933	387	9	1−𝜃31(y	1−𝜃31(y	NUM
cana-5933	387	10	)	)	PUNCT
cana-5933	387	11	2	2	NUM
cana-5933	387	12	}	}	PUNCT
cana-5933	387	13	,	,	PUNCT
cana-5933	387	14	𝑋21=	𝑋21=	X
cana-5933	387	15	{	{	PUNCT
cana-5933	387	16	𝜋21	𝜋21	PROPN
cana-5933	387	17	(	(	PUNCT
cana-5933	387	18	x	x	NOUN
cana-5933	387	19	)	)	PUNCT
cana-5933	387	20	.	.	PUNCT
cana-5933	388	1	𝜃12	𝜃12	PROPN
cana-5933	388	2	(	(	PUNCT
cana-5933	388	3	y	y	NOUN
cana-5933	388	4	)	)	PUNCT
cana-5933	388	5	2	2	NUM
cana-5933	388	6	,	,	PUNCT
cana-5933	388	7	1−	1−	NUM
cana-5933	388	8	𝜋21(x)+	𝜋21(x)+	VERB
cana-5933	388	9	1−𝜃12(y	1−𝜃12(y	NUM
cana-5933	388	10	)	)	PUNCT
cana-5933	388	11	2	2	NUM
cana-5933	388	12	}	}	SYM
cana-5933	388	13	𝑋22=	𝑋22=	PROPN
cana-5933	388	14	{	{	PUNCT
cana-5933	388	15	𝜋22	𝜋22	NOUN
cana-5933	388	16	(	(	PUNCT
cana-5933	388	17	x	x	NOUN
cana-5933	388	18	)	)	PUNCT
cana-5933	388	19	.	.	PUNCT
cana-5933	389	1	𝜃22	𝜃22	ADV
cana-5933	389	2	(	(	PUNCT
cana-5933	389	3	y	y	NOUN
cana-5933	389	4	)	)	PUNCT
cana-5933	389	5	2	2	NUM
cana-5933	389	6	,	,	PUNCT
cana-5933	389	7	1−	1−	NUM
cana-5933	389	8	𝜋22(x)+	𝜋22(x)+	NOUN
cana-5933	389	9	1−𝜃22(y	1−𝜃22(y	NUM
cana-5933	389	10	)	)	PUNCT
cana-5933	389	11	2	2	NUM
cana-5933	389	12	}	}	PUNCT
cana-5933	389	13	,	,	PUNCT
cana-5933	389	14	𝑋23=	𝑋23=	X
cana-5933	389	15	{	{	PUNCT
cana-5933	389	16	𝜋23	𝜋23	NOUN
cana-5933	389	17	(	(	PUNCT
cana-5933	389	18	x	x	NOUN
cana-5933	389	19	)	)	PUNCT
cana-5933	389	20	.	.	PUNCT
cana-5933	390	1	𝜃32	𝜃32	PROPN
cana-5933	390	2	(	(	PUNCT
cana-5933	390	3	y	y	NOUN
cana-5933	390	4	)	)	PUNCT
cana-5933	390	5	2	2	NUM
cana-5933	390	6	,	,	PUNCT
cana-5933	390	7	1−	1−	NUM
cana-5933	390	8	𝜋23(x)+	𝜋23(x)+	ADP
cana-5933	390	9	1−𝜃32(y	1−𝜃32(y	NUM
cana-5933	390	10	)	)	PUNCT
cana-5933	390	11	2	2	NUM
cana-5933	390	12	}	}	PUNCT
cana-5933	390	13	𝑋31=	𝑋31=	X
cana-5933	390	14	{	{	PUNCT
cana-5933	390	15	𝜋31	𝜋31	X
cana-5933	390	16	(	(	PUNCT
cana-5933	390	17	x	x	NOUN
cana-5933	390	18	)	)	PUNCT
cana-5933	390	19	.	.	PUNCT
cana-5933	391	1	𝜃13	𝜃13	PROPN
cana-5933	391	2	(	(	PUNCT
cana-5933	391	3	y	y	NOUN
cana-5933	391	4	)	)	PUNCT
cana-5933	391	5	2	2	NUM
cana-5933	391	6	,	,	PUNCT
cana-5933	391	7	1−	1−	NUM
cana-5933	391	8	𝜋31(x)+	𝜋31(x)+	NOUN
cana-5933	391	9	1−𝜃13(y	1−𝜃13(y	NUM
cana-5933	391	10	)	)	PUNCT
cana-5933	391	11	2	2	NUM
cana-5933	391	12	}	}	PUNCT
cana-5933	391	13	,	,	PUNCT
cana-5933	391	14	𝑋32=	𝑋32=	X
cana-5933	391	15	{	{	PUNCT
cana-5933	391	16	𝜋32	𝜋32	NOUN
cana-5933	391	17	(	(	PUNCT
cana-5933	391	18	x	x	NOUN
cana-5933	391	19	)	)	PUNCT
cana-5933	391	20	.	.	PUNCT
cana-5933	392	1	𝜃23	𝜃23	PROPN
cana-5933	392	2	(	(	PUNCT
cana-5933	392	3	y	y	NOUN
cana-5933	392	4	)	)	PUNCT
cana-5933	392	5	2	2	NUM
cana-5933	392	6	,	,	PUNCT
cana-5933	392	7	1−	1−	NUM
cana-5933	392	8	𝜋32(x)+	𝜋32(x)+	NOUN
cana-5933	392	9	1−𝜃23(y	1−𝜃23(y	NUM
cana-5933	392	10	)	)	PUNCT
cana-5933	392	11	2	2	NUM
cana-5933	392	12	}	}	PUNCT
cana-5933	392	13	𝑋33=	𝑋33=	NOUN
cana-5933	392	14	{	{	PUNCT
cana-5933	392	15	𝜋33	𝜋33	NOUN
cana-5933	392	16	(	(	PUNCT
cana-5933	392	17	x	x	NOUN
cana-5933	392	18	)	)	PUNCT
cana-5933	392	19	.	.	PUNCT
cana-5933	393	1	𝜃33	𝜃33	NOUN
cana-5933	393	2	(	(	PUNCT
cana-5933	393	3	y	y	NOUN
cana-5933	393	4	)	)	PUNCT
cana-5933	393	5	2	2	NUM
cana-5933	393	6	,	,	PUNCT
cana-5933	393	7	1−	1−	NUM
cana-5933	393	8	𝜋33(x)+	𝜋33(x)+	NOUN
cana-5933	393	9	1−𝜃33(y	1−𝜃33(y	NUM
cana-5933	393	10	)	)	PUNCT
cana-5933	393	11	2	2	NUM
cana-5933	393	12	}	}	PUNCT
cana-5933	393	13	we	we	PRON
cana-5933	393	14	have	have	VERB
cana-5933	393	15	,	,	PUNCT
cana-5933	393	16	𝐴𝐸	𝐴𝐸	X
cana-5933	393	17	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	393	18	@	@	ADP
cana-5933	393	19	𝐵𝐹	𝐵𝐹	NUM
cana-5933	393	20	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	394	1	=	=	X
cana-5933	394	2	(	(	PUNCT
cana-5933	394	3	𝑋11	𝑋11	PROPN
cana-5933	394	4	𝑋12	𝑋12	PROPN
cana-5933	394	5	𝑋13	𝑋13	PROPN
cana-5933	395	1	𝑋21	𝑋21	PROPN
cana-5933	395	2	𝑋22	𝑋22	VERB
cana-5933	395	3	𝑋23	𝑋23	PROPN
cana-5933	395	4	𝑋31	𝑋31	PROPN
cana-5933	395	5	𝑋32	𝑋32	PROPN
cana-5933	395	6	𝑋33	𝑋33	PROPN
cana-5933	395	7	)	)	PUNCT
cana-5933	395	8	is	be	AUX
cana-5933	395	9	also	also	ADV
cana-5933	395	10	intuitionistic	intuitionistic	ADJ
cana-5933	395	11	fuzzy	fuzzy	ADJ
cana-5933	395	12	matrix	matrix	NOUN
cana-5933	395	13	.	.	PUNCT
cana-5933	396	1	theorem	theorem	VERB
cana-5933	396	2	6.7.7	6.7.7	NOUN
cana-5933	396	3	:	:	PUNCT
cana-5933	396	4	if	if	SCONJ
cana-5933	396	5	e	e	PROPN
cana-5933	396	6	and	and	CCONJ
cana-5933	396	7	f	f	PROPN
cana-5933	396	8	be	be	AUX
cana-5933	396	9	two	two	NUM
cana-5933	396	10	universal	universal	ADJ
cana-5933	396	11	sets	set	NOUN
cana-5933	396	12	.	.	PUNCT
cana-5933	397	1	for	for	ADP
cana-5933	397	2	every	every	DET
cana-5933	397	3	necessity	necessity	NOUN
cana-5933	397	4	function	function	NOUN
cana-5933	397	5	of	of	ADP
cana-5933	397	6	intuitionistic	intuitionistic	ADJ
cana-5933	397	7	fuzzy	fuzzy	ADJ
cana-5933	397	8	matrix	matrix	NOUN
cana-5933	397	9	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	397	10	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	397	11	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-5933	397	12	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	397	13	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	397	14	are	be	AUX
cana-5933	397	15	intuitionistic	intuitionistic	ADJ
cana-5933	397	16	fuzzy	fuzzy	ADJ
cana-5933	397	17	matrix	matrix	NOUN
cana-5933	397	18	in	in	ADP
cana-5933	397	19	e	e	PROPN
cana-5933	397	20	and	and	CCONJ
cana-5933	397	21	f	f	PROPN
cana-5933	397	22	then	then	ADV
cana-5933	397	23			PROPN
cana-5933	397	24	�	�	PROPN
cana-5933	397	25	̅	̅	NOUN
cana-5933	397	26	�	�	NOUN
cana-5933	397	27	𝐸	𝐸	VERB
cana-5933	397	28	$	$	SYM
cana-5933	397	29			PROPN
cana-5933	397	30	�	�	NOUN
cana-5933	397	31	̅	̅	NOUN
cana-5933	397	32	�	�	NOUN
cana-5933	397	33	𝐹	𝐹	PROPN
cana-5933	397	34	is	be	AUX
cana-5933	397	35	also	also	ADV
cana-5933	397	36	necessity	necessity	NOUN
cana-5933	397	37	function	function	NOUN
cana-5933	397	38	of	of	ADP
cana-5933	397	39	intuitionistic	intuitionistic	ADJ
cana-5933	397	40	fuzzy	fuzzy	ADJ
cana-5933	397	41	matrix	matrix	NOUN
cana-5933	397	42	.	.	PUNCT
cana-5933	398	1	proof	proof	NOUN
cana-5933	398	2	:	:	PUNCT
cana-5933	398	3	if	if	SCONJ
cana-5933	398	4	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	398	5	and	and	CCONJ
cana-5933	398	6	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	398	7	are	be	AUX
cana-5933	398	8	two	two	NUM
cana-5933	398	9	intuitionistic	intuitionistic	ADJ
cana-5933	398	10	fuzzy	fuzzy	ADJ
cana-5933	398	11	matrices	matrix	NOUN
cana-5933	398	12	sets	set	NOUN
cana-5933	398	13	over	over	ADP
cana-5933	398	14	different	different	ADJ
cana-5933	398	15	universes	universe	NOUN
cana-5933	398	16	e	e	PROPN
cana-5933	398	17	&	&	CCONJ
cana-5933	398	18	f	f	PROPN
cana-5933	398	19	and	and	CCONJ
cana-5933	398	20	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	398	21	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	398	22	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5933	398	23	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	398	24	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	398	25	are	be	AUX
cana-5933	398	26	also	also	ADV
cana-5933	398	27	intuitionistic	intuitionistic	ADJ
cana-5933	398	28	fuzzy	fuzzy	ADJ
cana-5933	398	29	matrices	matrix	NOUN
cana-5933	398	30	sets	set	NOUN
cana-5933	398	31	over	over	ADP
cana-5933	398	32	different	different	ADJ
cana-5933	398	33	universes	universe	NOUN
cana-5933	398	34	e	e	NOUN
cana-5933	398	35	and	and	CCONJ
cana-5933	398	36	f.	f.	PROPN
cana-5933	398	37	if	if	SCONJ
cana-5933	398	38	we	we	PRON
cana-5933	398	39	consider	consider	VERB
cana-5933	398	40	to	to	ADP
cana-5933	398	41	3×	3×	NUM
cana-5933	398	42	3	3	NUM
cana-5933	398	43	matrix	matrix	NOUN
cana-5933	398	44	.	.	PUNCT
cana-5933	399	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	399	2	=	=	SYM
cana-5933	399	3	(	(	PUNCT
cana-5933	399	4	(	(	PUNCT
cana-5933	399	5	𝜇11	𝜇11	ADJ
cana-5933	399	6	,	,	PUNCT
cana-5933	399	7	𝜋11	𝜋11	NOUN
cana-5933	399	8	)	)	PUNCT
cana-5933	399	9	(	(	PUNCT
cana-5933	399	10	𝜇12	𝜇12	NOUN
cana-5933	399	11	,	,	PUNCT
cana-5933	399	12	𝜋12	𝜋12	NOUN
cana-5933	399	13	)	)	PUNCT
cana-5933	399	14	(	(	PUNCT
cana-5933	399	15	𝜇13	𝜇13	NOUN
cana-5933	399	16	,	,	PUNCT
cana-5933	399	17	𝜋13	𝜋13	NOUN
cana-5933	399	18	)	)	PUNCT
cana-5933	399	19	(	(	PUNCT
cana-5933	399	20	𝜇21	𝜇21	NOUN
cana-5933	399	21	,	,	PUNCT
cana-5933	399	22	𝜋21	𝜋21	NOUN
cana-5933	399	23	)	)	PUNCT
cana-5933	399	24	(	(	PUNCT
cana-5933	399	25	𝜇22	𝜇22	NOUN
cana-5933	399	26	,	,	PUNCT
cana-5933	399	27	𝜋22	𝜋22	NOUN
cana-5933	399	28	)	)	PUNCT
cana-5933	399	29	(	(	PUNCT
cana-5933	399	30	𝜇23	𝜇23	PROPN
cana-5933	399	31	,	,	PUNCT
cana-5933	399	32	𝜋23	𝜋23	ADJ
cana-5933	399	33	)	)	PUNCT
cana-5933	399	34	(	(	PUNCT
cana-5933	399	35	𝜇31	𝜇31	PROPN
cana-5933	399	36	,	,	PUNCT
cana-5933	399	37	𝜋31	𝜋31	PROPN
cana-5933	399	38	)	)	PUNCT
cana-5933	399	39	(	(	PUNCT
cana-5933	399	40	𝜇32	𝜇32	NOUN
cana-5933	399	41	,	,	PUNCT
cana-5933	399	42	𝜋32	𝜋32	NOUN
cana-5933	399	43	)	)	PUNCT
cana-5933	399	44	(	(	PUNCT
cana-5933	399	45	𝜇33	𝜇33	NOUN
cana-5933	399	46	,	,	PUNCT
cana-5933	399	47	𝜋33	𝜋33	NOUN
cana-5933	399	48	)	)	PUNCT
cana-5933	399	49	)	)	PUNCT
cana-5933	399	50	and	and	CCONJ
cana-5933	399	51	𝐵𝐹=	𝐵𝐹=	NOUN
cana-5933	399	52	(	(	PUNCT
cana-5933	399	53	(	(	PUNCT
cana-5933	399	54	𝜗11	𝜗11	NOUN
cana-5933	399	55	,	,	PUNCT
cana-5933	399	56	𝜃11	𝜃11	NOUN
cana-5933	399	57	)	)	PUNCT
cana-5933	399	58	(	(	PUNCT
cana-5933	399	59	𝜗12	𝜗12	PROPN
cana-5933	399	60	,	,	PUNCT
cana-5933	399	61	𝜃12	𝜃12	NUM
cana-5933	399	62	)	)	PUNCT
cana-5933	399	63	(	(	PUNCT
cana-5933	399	64	𝜗13	𝜗13	PROPN
cana-5933	399	65	,	,	PUNCT
cana-5933	399	66	𝜃13	𝜃13	PROPN
cana-5933	399	67	)	)	PUNCT
cana-5933	399	68	(	(	PUNCT
cana-5933	399	69	𝜗21	𝜗21	NOUN
cana-5933	399	70	,	,	PUNCT
cana-5933	399	71	𝜃21	𝜃21	NOUN
cana-5933	399	72	)	)	PUNCT
cana-5933	399	73	(	(	PUNCT
cana-5933	399	74	𝜗22	𝜗22	PROPN
cana-5933	399	75	,	,	PUNCT
cana-5933	399	76	𝜃22	𝜃22	NOUN
cana-5933	399	77	)	)	PUNCT
cana-5933	399	78	(	(	PUNCT
cana-5933	399	79	𝜗23	𝜗23	PROPN
cana-5933	399	80	,	,	PUNCT
cana-5933	399	81	𝜃23	𝜃23	PROPN
cana-5933	399	82	)	)	PUNCT
cana-5933	399	83	(	(	PUNCT
cana-5933	399	84	𝜗31	𝜗31	NUM
cana-5933	399	85	,	,	PUNCT
cana-5933	399	86	𝜃31	𝜃31	NUM
cana-5933	399	87	)	)	PUNCT
cana-5933	399	88	(	(	PUNCT
cana-5933	399	89	𝜗32	𝜗32	PROPN
cana-5933	399	90	,	,	PUNCT
cana-5933	399	91	𝜃32	𝜃32	PROPN
cana-5933	399	92	)	)	PUNCT
cana-5933	399	93	(	(	PUNCT
cana-5933	399	94	𝜗33	𝜗33	NOUN
cana-5933	399	95	,	,	PUNCT
cana-5933	399	96	𝜃33	𝜃33	NUM
cana-5933	399	97	)	)	PUNCT
cana-5933	399	98	)	)	PUNCT
cana-5933	400	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	400	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	400	3	=	=	X
cana-5933	400	4	(	(	PUNCT
cana-5933	400	5	(	(	PUNCT
cana-5933	400	6	𝜋11	𝜋11	NOUN
cana-5933	400	7	,	,	PUNCT
cana-5933	400	8	𝜇11	𝜇11	NOUN
cana-5933	400	9	)	)	PUNCT
cana-5933	400	10	(	(	PUNCT
cana-5933	400	11	𝜋12	𝜋12	NOUN
cana-5933	400	12	,	,	PUNCT
cana-5933	400	13	𝜇12	𝜇12	NOUN
cana-5933	400	14	)	)	PUNCT
cana-5933	400	15	(	(	PUNCT
cana-5933	400	16	𝜋13	𝜋13	PROPN
cana-5933	400	17	,	,	PUNCT
cana-5933	400	18	𝜇13	𝜇13	NOUN
cana-5933	400	19	)	)	PUNCT
cana-5933	400	20	(	(	PUNCT
cana-5933	400	21	𝜋21	𝜋21	ADJ
cana-5933	400	22	,	,	PUNCT
cana-5933	400	23	𝜇21	𝜇21	NOUN
cana-5933	400	24	)	)	PUNCT
cana-5933	400	25	(	(	PUNCT
cana-5933	400	26	𝜋22	𝜋22	NOUN
cana-5933	400	27	,	,	PUNCT
cana-5933	400	28	𝜇22	𝜇22	PROPN
cana-5933	400	29	)	)	PUNCT
cana-5933	400	30	(	(	PUNCT
cana-5933	400	31	𝜋23	𝜋23	ADJ
cana-5933	400	32	,	,	PUNCT
cana-5933	400	33	𝜇23	𝜇23	NOUN
cana-5933	400	34	)	)	PUNCT
cana-5933	400	35	(	(	PUNCT
cana-5933	400	36	𝜋31	𝜋31	PROPN
cana-5933	400	37	,	,	PUNCT
cana-5933	400	38	𝜇31	𝜇31	NOUN
cana-5933	400	39	)	)	PUNCT
cana-5933	400	40	(	(	PUNCT
cana-5933	400	41	𝜋32	𝜋32	NOUN
cana-5933	400	42	,	,	PUNCT
cana-5933	400	43	𝜇32	𝜇32	NOUN
cana-5933	400	44	)	)	PUNCT
cana-5933	400	45	(	(	PUNCT
cana-5933	400	46	𝜋33	𝜋33	PROPN
cana-5933	400	47	,	,	PUNCT
cana-5933	400	48	𝜇33	𝜇33	NOUN
cana-5933	400	49	)	)	PUNCT
cana-5933	400	50	)	)	PUNCT
cana-5933	400	51	and	and	CCONJ
cana-5933	400	52	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	400	53	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	400	54	=	=	PUNCT
cana-5933	400	55	(	(	PUNCT
cana-5933	400	56	(	(	PUNCT
cana-5933	400	57	𝜃11	𝜃11	ADJ
cana-5933	400	58	,	,	PUNCT
cana-5933	400	59	𝜗11	𝜗11	NOUN
cana-5933	400	60	)	)	PUNCT
cana-5933	400	61	(	(	PUNCT
cana-5933	400	62	𝜃12	𝜃12	ADJ
cana-5933	400	63	,	,	PUNCT
cana-5933	400	64	𝜗12	𝜗12	PROPN
cana-5933	400	65	)	)	PUNCT
cana-5933	400	66	(	(	PUNCT
cana-5933	400	67	𝜃13	𝜃13	PROPN
cana-5933	400	68	,	,	PUNCT
cana-5933	400	69	𝜗13	𝜗13	NOUN
cana-5933	400	70	)	)	PUNCT
cana-5933	400	71	(	(	PUNCT
cana-5933	400	72	𝜃21	𝜃21	NOUN
cana-5933	400	73	,	,	PUNCT
cana-5933	400	74	𝜗21	𝜗21	NOUN
cana-5933	400	75	)	)	PUNCT
cana-5933	400	76	(	(	PUNCT
cana-5933	400	77	𝜃22	𝜃22	NOUN
cana-5933	400	78	,	,	PUNCT
cana-5933	400	79	𝜗22	𝜗22	PROPN
cana-5933	400	80	)	)	PUNCT
cana-5933	400	81	(	(	PUNCT
cana-5933	400	82	𝜃23	𝜃23	PROPN
cana-5933	400	83	,	,	PUNCT
cana-5933	400	84	𝜗23	𝜗23	ADJ
cana-5933	400	85	)	)	PUNCT
cana-5933	400	86	(	(	PUNCT
cana-5933	400	87	𝜃31	𝜃31	PROPN
cana-5933	400	88	,	,	PUNCT
cana-5933	400	89	𝜗31	𝜗31	NUM
cana-5933	400	90	)	)	PUNCT
cana-5933	400	91	(	(	PUNCT
cana-5933	400	92	𝜃32	𝜃32	PROPN
cana-5933	400	93	,	,	PUNCT
cana-5933	400	94	𝜗32	𝜗32	PROPN
cana-5933	400	95	)	)	PUNCT
cana-5933	400	96	(	(	PUNCT
cana-5933	400	97	𝜃33	𝜃33	NOUN
cana-5933	400	98	,	,	PUNCT
cana-5933	400	99	𝜗33	𝜗33	NOUN
cana-5933	400	100	)	)	PUNCT
cana-5933	400	101	)	)	PUNCT
cana-5933	401	1	if	if	SCONJ
cana-5933	401	2	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	401	3	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	401	4	=	=	X
cana-5933	401	5	{	{	PUNCT
cana-5933	401	6	x	x	NOUN
cana-5933	401	7	,	,	PUNCT
cana-5933	401	8	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	401	9	)	)	PUNCT
cana-5933	401	10	,	,	PUNCT
cana-5933	401	11	𝜇(x	𝜇(x	X
cana-5933	401	12	):	):	PUNCT
cana-5933	401	13	xx	xx	PRON
cana-5933	401	14	}	}	PUNCT
cana-5933	401	15	and	and	CCONJ
cana-5933	401	16	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	401	17	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	401	18	=	=	PUNCT
cana-5933	401	19	{	{	PUNCT
cana-5933	401	20	y	y	PROPN
cana-5933	401	21	,	,	PUNCT
cana-5933	401	22	𝜃𝐴(y	𝜃𝐴(y	PROPN
cana-5933	401	23	)	)	PUNCT
cana-5933	401	24	,	,	PUNCT
cana-5933	401	25	𝜗𝐴(y	𝜗𝐴(y	PROPN
cana-5933	401	26	):	):	PUNCT
cana-5933	401	27	yy	yy	PROPN
cana-5933	401	28	}	}	PUNCT
cana-5933	401	29	are	be	AUX
cana-5933	401	30	two	two	NUM
cana-5933	401	31	also	also	ADV
cana-5933	401	32	intuitionistic	intuitionistic	ADJ
cana-5933	401	33	fuzzy	fuzzy	ADJ
cana-5933	401	34	matrices	matrix	NOUN
cana-5933	401	35	sets	set	NOUN
cana-5933	401	36	over	over	ADP
cana-5933	401	37	different	different	ADJ
cana-5933	401	38	universes	universe	NOUN
cana-5933	401	39	e	e	NOUN
cana-5933	401	40	and	and	CCONJ
cana-5933	401	41	f.	f.	PROPN
cana-5933	401	42	by	by	ADP
cana-5933	401	43	the	the	DET
cana-5933	401	44	definition	definition	NOUN
cana-5933	401	45	of	of	ADP
cana-5933	401	46	𝐴𝐸	𝐴𝐸	X
cana-5933	401	47	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	401	48	=	=	X
cana-5933	401	49	{	{	PUNCT
cana-5933	401	50	x	x	NOUN
cana-5933	401	51	,	,	PUNCT
cana-5933	401	52	πa(x	πa(x	NOUN
cana-5933	401	53	):	):	PUNCT
cana-5933	401	54	xx	xx	PRON
cana-5933	401	55	}	}	PUNCT
cana-5933	401	56	=	=	SYM
cana-5933	401	57	{	{	PUNCT
cana-5933	401	58	x	x	NOUN
cana-5933	401	59	,	,	PUNCT
cana-5933	401	60	πa(x	πa(x	NOUN
cana-5933	401	61	)	)	PUNCT
cana-5933	401	62	,	,	PUNCT
cana-5933	401	63	1	1	NUM
cana-5933	401	64	−	−	PROPN
cana-5933	401	65	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	401	66	):	):	PUNCT
cana-5933	401	67	xx	xx	NUM
cana-5933	401	68	}	}	PUNCT
cana-5933	401	69	and	and	CCONJ
cana-5933	401	70	𝐵𝐹	𝐵𝐹	NUM
cana-5933	401	71	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	401	72	=	=	SYM
cana-5933	401	73	{	{	PUNCT
cana-5933	401	74	y	y	PROPN
cana-5933	401	75	,	,	PUNCT
cana-5933	401	76	𝜃b(y	𝜃b(y	NUM
cana-5933	401	77	):	):	PUNCT
cana-5933	401	78	yy	yy	NOUN
cana-5933	401	79	}	}	PUNCT
cana-5933	401	80	=	=	SYM
cana-5933	401	81	{	{	PUNCT
cana-5933	401	82	y	y	PROPN
cana-5933	401	83	,	,	PUNCT
cana-5933	401	84	𝜃b(y	𝜃b(y	NUM
cana-5933	401	85	)	)	PUNCT
cana-5933	401	86	,	,	PUNCT
cana-5933	402	1	1	1	NUM
cana-5933	402	2	−	−	NOUN
cana-5933	402	3	𝜃𝐵(y	𝜃𝐵(y	NUM
cana-5933	402	4	):	):	PUNCT
cana-5933	402	5	yy	yy	NOUN
cana-5933	402	6	}	}	PUNCT
cana-5933	402	7	𝐴𝐸	𝐴𝐸	PUNCT
cana-5933	402	8	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	402	9	=	=	PUNCT
cana-5933	402	10	(	(	PUNCT
cana-5933	402	11	(	(	PUNCT
cana-5933	402	12	𝜋11	𝜋11	NOUN
cana-5933	402	13	,	,	PUNCT
cana-5933	402	14	1	1	NUM
cana-5933	402	15	−	−	NOUN
cana-5933	402	16	𝜋11	𝜋11	NOUN
cana-5933	402	17	)	)	PUNCT
cana-5933	402	18	(	(	PUNCT
cana-5933	402	19	𝜋12	𝜋12	NOUN
cana-5933	402	20	,	,	PUNCT
cana-5933	402	21	1	1	NUM
cana-5933	402	22	−	−	NOUN
cana-5933	402	23	𝜋12	𝜋12	NOUN
cana-5933	402	24	)	)	PUNCT
cana-5933	402	25	(	(	PUNCT
cana-5933	402	26	𝜋13	𝜋13	ADJ
cana-5933	402	27	,	,	PUNCT
cana-5933	402	28	1	1	NUM
cana-5933	402	29	−	−	NOUN
cana-5933	402	30	𝜋13	𝜋13	NOUN
cana-5933	402	31	)	)	PUNCT
cana-5933	402	32	(	(	PUNCT
cana-5933	402	33	𝜋21	𝜋21	VERB
cana-5933	402	34	,	,	PUNCT
cana-5933	402	35	1	1	NUM
cana-5933	402	36	−	−	NOUN
cana-5933	402	37	𝜋21	𝜋21	PROPN
cana-5933	402	38	)	)	PUNCT
cana-5933	402	39	(	(	PUNCT
cana-5933	402	40	𝜋22	𝜋22	NOUN
cana-5933	402	41	,	,	PUNCT
cana-5933	402	42	1	1	NUM
cana-5933	402	43	−	−	NOUN
cana-5933	402	44	𝜋22	𝜋22	NOUN
cana-5933	402	45	)	)	PUNCT
cana-5933	402	46	(	(	PUNCT
cana-5933	402	47	𝜋23	𝜋23	ADJ
cana-5933	402	48	,	,	PUNCT
cana-5933	402	49	1	1	NUM
cana-5933	402	50	−	−	NOUN
cana-5933	402	51	𝜋23	𝜋23	ADJ
cana-5933	402	52	)	)	PUNCT
cana-5933	402	53	(	(	PUNCT
cana-5933	402	54	𝜋31	𝜋31	PROPN
cana-5933	402	55	,	,	PUNCT
cana-5933	402	56	1	1	NUM
cana-5933	402	57	−	−	NOUN
cana-5933	402	58	𝜋31	𝜋31	NOUN
cana-5933	402	59	)	)	PUNCT
cana-5933	402	60	(	(	PUNCT
cana-5933	402	61	𝜋32	𝜋32	NOUN
cana-5933	402	62	,	,	PUNCT
cana-5933	402	63	1	1	NUM
cana-5933	402	64	−	−	NOUN
cana-5933	402	65	𝜋32	𝜋32	NOUN
cana-5933	402	66	)	)	PUNCT
cana-5933	402	67	(	(	PUNCT
cana-5933	402	68	𝜋33	𝜋33	NOUN
cana-5933	402	69	,	,	PUNCT
cana-5933	402	70	1	1	NUM
cana-5933	402	71	−	−	NOUN
cana-5933	402	72	𝜋33	𝜋33	NOUN
cana-5933	402	73	)	)	PUNCT
cana-5933	402	74	)	)	PUNCT
cana-5933	402	75	and	and	CCONJ
cana-5933	402	76	𝐵𝐹	𝐵𝐹	NUM
cana-5933	402	77	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	402	78	=	=	X
cana-5933	402	79	(	(	PUNCT
cana-5933	402	80	(	(	PUNCT
cana-5933	402	81	𝜃11	𝜃11	ADJ
cana-5933	402	82	,	,	PUNCT
cana-5933	402	83	1	1	NUM
cana-5933	402	84	−	−	NOUN
cana-5933	402	85	𝜃11	𝜃11	NOUN
cana-5933	402	86	)	)	PUNCT
cana-5933	402	87	(	(	PUNCT
cana-5933	402	88	𝜃12	𝜃12	ADJ
cana-5933	402	89	,	,	PUNCT
cana-5933	402	90	1	1	NUM
cana-5933	402	91	−	−	NOUN
cana-5933	402	92	𝜃12	𝜃12	NUM
cana-5933	402	93	)	)	PUNCT
cana-5933	402	94	(	(	PUNCT
cana-5933	402	95	𝜃13	𝜃13	PROPN
cana-5933	402	96	,	,	PUNCT
cana-5933	402	97	1	1	NUM
cana-5933	402	98	−	−	NOUN
cana-5933	402	99	𝜃13	𝜃13	NOUN
cana-5933	402	100	)	)	PUNCT
cana-5933	402	101	(	(	PUNCT
cana-5933	402	102	𝜃21	𝜃21	NOUN
cana-5933	402	103	,	,	PUNCT
cana-5933	402	104	1	1	NUM
cana-5933	402	105	−	−	NOUN
cana-5933	402	106	𝜃21	𝜃21	NOUN
cana-5933	402	107	)	)	PUNCT
cana-5933	402	108	(	(	PUNCT
cana-5933	402	109	𝜃22	𝜃22	ADV
cana-5933	402	110	,	,	PUNCT
cana-5933	402	111	1	1	NUM
cana-5933	402	112	−	−	PROPN
cana-5933	402	113	𝜃22	𝜃22	NOUN
cana-5933	402	114	)	)	PUNCT
cana-5933	402	115	(	(	PUNCT
cana-5933	402	116	𝜃23	𝜃23	PROPN
cana-5933	402	117	,	,	PUNCT
cana-5933	402	118	1	1	NUM
cana-5933	402	119	−	−	PROPN
cana-5933	402	120	𝜃23	𝜃23	NOUN
cana-5933	402	121	)	)	PUNCT
cana-5933	402	122	(	(	PUNCT
cana-5933	402	123	𝜃31	𝜃31	PROPN
cana-5933	402	124	,	,	PUNCT
cana-5933	402	125	1	1	NUM
cana-5933	402	126	−	−	NOUN
cana-5933	402	127	𝜃31	𝜃31	NUM
cana-5933	402	128	)	)	PUNCT
cana-5933	402	129	(	(	PUNCT
cana-5933	402	130	𝜃32	𝜃32	PROPN
cana-5933	402	131	,	,	PUNCT
cana-5933	402	132	1	1	NUM
cana-5933	402	133	−	−	NOUN
cana-5933	402	134	𝜃32	𝜃32	PROPN
cana-5933	402	135	)	)	PUNCT
cana-5933	402	136	(	(	PUNCT
cana-5933	402	137	𝜃33	𝜃33	NOUN
cana-5933	402	138	,	,	PUNCT
cana-5933	402	139	1	1	NUM
cana-5933	402	140	−	−	NOUN
cana-5933	402	141	𝜃33	𝜃33	NOUN
cana-5933	402	142	)	)	PUNCT
cana-5933	402	143	)	)	PUNCT
cana-5933	402	144	communications	communication	NOUN
cana-5933	402	145	on	on	ADP
cana-5933	402	146	applied	apply	VERB
cana-5933	402	147	nonlinear	nonlinear	ADJ
cana-5933	402	148	analysis	analysis	NOUN
cana-5933	402	149	issn	issn	NOUN
cana-5933	402	150	:	:	PUNCT
cana-5933	402	151	1074	1074	NUM
cana-5933	402	152	-	-	PUNCT
cana-5933	402	153	133x	133x	NUM
cana-5933	402	154	vol	vol	VERB
cana-5933	402	155	32	32	NUM
cana-5933	402	156	no	no	NOUN
cana-5933	402	157	.	.	PUNCT
cana-5933	403	1	10s	10	NOUN
cana-5933	403	2	(	(	PUNCT
cana-5933	403	3	2025	2025	NUM
cana-5933	403	4	)	)	PUNCT
cana-5933	403	5	3153	3153	NUM
cana-5933	403	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	403	7	then	then	ADV
cana-5933	403	8	applying	apply	VERB
cana-5933	403	9	the	the	DET
cana-5933	403	10	formula	formula	NOUN
cana-5933	403	11	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	403	12	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	403	13	$	$	SYM
cana-5933	403	14	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	403	15	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	403	16	=	=	PUNCT
cana-5933	403	17	{	{	PUNCT
cana-5933	403	18	〈	〈	PROPN
cana-5933	403	19	x	x	PROPN
cana-5933	403	20	,	,	PUNCT
cana-5933	403	21	y	y	PROPN
cana-5933	403	22	〉	〉	NOUN
cana-5933	403	23	,	,	PUNCT
cana-5933	403	24	√𝜇𝐴̅̅̅̅	√𝜇𝐴̅̅̅̅	VERB
cana-5933	403	25	(	(	PUNCT
cana-5933	403	26	x	x	X
cana-5933	403	27	)	)	PUNCT
cana-5933	403	28	∙	∙	PROPN
cana-5933	403	29	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	403	30	(	(	PUNCT
cana-5933	403	31	y	y	NOUN
cana-5933	403	32	)	)	PUNCT
cana-5933	403	33	,	,	PUNCT
cana-5933	403	34	√	√	PROPN
cana-5933	403	35	(	(	PUNCT
cana-5933	403	36	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	403	37	̅̅	̅̅	NOUN
cana-5933	403	38	̅(x	̅(x	NOUN
cana-5933	403	39	)	)	PUNCT
cana-5933	403	40	∙	∙	PROPN
cana-5933	403	41	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	403	42	̅̅	̅̅	NOUN
cana-5933	403	43	̅	̅	NOUN
cana-5933	403	44	(	(	PUNCT
cana-5933	403	45	y	y	NOUN
cana-5933	403	46	):	):	PUNCT
cana-5933	403	47	xe	xe	PROPN
cana-5933	403	48	,	,	PUNCT
cana-5933	403	49	y𝐹	y𝐹	PROPN
cana-5933	403	50	}	}	PUNCT
cana-5933	403	51	,	,	PUNCT
cana-5933	403	52	we	we	PRON
cana-5933	403	53	have	have	VERB
cana-5933	403	54	,	,	PUNCT
cana-5933	403	55			PROPN
cana-5933	403	56	�	�	PROPN
cana-5933	403	57	̅	̅	NOUN
cana-5933	403	58	�	�	NOUN
cana-5933	403	59	𝐸	𝐸	VERB
cana-5933	403	60	$	$	SYM
cana-5933	403	61			PROPN
cana-5933	403	62	�	�	NOUN
cana-5933	403	63	̅	̅	NOUN
cana-5933	403	64	�	�	NOUN
cana-5933	403	65	𝐹	𝐹	NOUN
cana-5933	403	66	=	=	PUNCT
cana-5933	403	67	(	(	PUNCT
cana-5933	403	68	(	(	PUNCT
cana-5933	403	69	𝜋11	𝜋11	NOUN
cana-5933	403	70	,	,	PUNCT
cana-5933	403	71	1	1	NUM
cana-5933	403	72	−	−	NOUN
cana-5933	403	73	𝜋11	𝜋11	NOUN
cana-5933	403	74	)	)	PUNCT
cana-5933	403	75	(	(	PUNCT
cana-5933	403	76	𝜋12	𝜋12	NOUN
cana-5933	403	77	,	,	PUNCT
cana-5933	403	78	1	1	NUM
cana-5933	403	79	−	−	NOUN
cana-5933	403	80	𝜋12	𝜋12	NOUN
cana-5933	403	81	)	)	PUNCT
cana-5933	403	82	(	(	PUNCT
cana-5933	403	83	𝜋13	𝜋13	ADJ
cana-5933	403	84	,	,	PUNCT
cana-5933	403	85	1	1	NUM
cana-5933	403	86	−	−	NOUN
cana-5933	403	87	𝜋13	𝜋13	NOUN
cana-5933	403	88	)	)	PUNCT
cana-5933	403	89	(	(	PUNCT
cana-5933	403	90	𝜋21	𝜋21	VERB
cana-5933	403	91	,	,	PUNCT
cana-5933	403	92	1	1	NUM
cana-5933	403	93	−	−	NOUN
cana-5933	403	94	𝜋21	𝜋21	PROPN
cana-5933	403	95	)	)	PUNCT
cana-5933	403	96	(	(	PUNCT
cana-5933	403	97	𝜋22	𝜋22	NOUN
cana-5933	403	98	,	,	PUNCT
cana-5933	403	99	1	1	NUM
cana-5933	403	100	−	−	NOUN
cana-5933	403	101	𝜋22	𝜋22	NOUN
cana-5933	403	102	)	)	PUNCT
cana-5933	403	103	(	(	PUNCT
cana-5933	403	104	𝜋23	𝜋23	ADJ
cana-5933	403	105	,	,	PUNCT
cana-5933	403	106	1	1	NUM
cana-5933	403	107	−	−	NOUN
cana-5933	403	108	𝜋23	𝜋23	ADJ
cana-5933	403	109	)	)	PUNCT
cana-5933	403	110	(	(	PUNCT
cana-5933	403	111	𝜋31	𝜋31	PROPN
cana-5933	403	112	,	,	PUNCT
cana-5933	403	113	1	1	NUM
cana-5933	403	114	−	−	NOUN
cana-5933	403	115	𝜋31	𝜋31	NOUN
cana-5933	403	116	)	)	PUNCT
cana-5933	403	117	(	(	PUNCT
cana-5933	403	118	𝜋32	𝜋32	NOUN
cana-5933	403	119	,	,	PUNCT
cana-5933	403	120	1	1	NUM
cana-5933	403	121	−	−	NOUN
cana-5933	403	122	𝜋32	𝜋32	NOUN
cana-5933	403	123	)	)	PUNCT
cana-5933	403	124	(	(	PUNCT
cana-5933	403	125	𝜋33	𝜋33	NOUN
cana-5933	403	126	,	,	PUNCT
cana-5933	403	127	1	1	NUM
cana-5933	403	128	−	−	NOUN
cana-5933	403	129	𝜋33	𝜋33	NOUN
cana-5933	403	130	)	)	PUNCT
cana-5933	403	131	)	)	PUNCT
cana-5933	404	1	$	$	SYM
cana-5933	404	2	(	(	PUNCT
cana-5933	404	3	(	(	PUNCT
cana-5933	404	4	𝜃11	𝜃11	ADJ
cana-5933	404	5	,	,	PUNCT
cana-5933	404	6	1	1	NUM
cana-5933	404	7	−	−	NOUN
cana-5933	404	8	𝜃11	𝜃11	NOUN
cana-5933	404	9	)	)	PUNCT
cana-5933	404	10	(	(	PUNCT
cana-5933	404	11	𝜃12	𝜃12	ADJ
cana-5933	404	12	,	,	PUNCT
cana-5933	404	13	1	1	NUM
cana-5933	404	14	−	−	NOUN
cana-5933	404	15	𝜃12	𝜃12	NUM
cana-5933	404	16	)	)	PUNCT
cana-5933	404	17	(	(	PUNCT
cana-5933	404	18	𝜃13	𝜃13	PROPN
cana-5933	404	19	,	,	PUNCT
cana-5933	404	20	1	1	NUM
cana-5933	404	21	−	−	NOUN
cana-5933	404	22	𝜃13	𝜃13	NOUN
cana-5933	404	23	)	)	PUNCT
cana-5933	404	24	(	(	PUNCT
cana-5933	404	25	𝜃21	𝜃21	NOUN
cana-5933	404	26	,	,	PUNCT
cana-5933	404	27	1	1	NUM
cana-5933	404	28	−	−	NOUN
cana-5933	404	29	𝜃21	𝜃21	NOUN
cana-5933	404	30	)	)	PUNCT
cana-5933	404	31	(	(	PUNCT
cana-5933	404	32	𝜃22	𝜃22	ADV
cana-5933	404	33	,	,	PUNCT
cana-5933	404	34	1	1	NUM
cana-5933	404	35	−	−	PROPN
cana-5933	404	36	𝜃22	𝜃22	NOUN
cana-5933	404	37	)	)	PUNCT
cana-5933	404	38	(	(	PUNCT
cana-5933	404	39	𝜃23	𝜃23	PROPN
cana-5933	404	40	,	,	PUNCT
cana-5933	404	41	1	1	NUM
cana-5933	404	42	−	−	PROPN
cana-5933	404	43	𝜃23	𝜃23	NOUN
cana-5933	404	44	)	)	PUNCT
cana-5933	404	45	(	(	PUNCT
cana-5933	404	46	𝜃31	𝜃31	PROPN
cana-5933	404	47	,	,	PUNCT
cana-5933	404	48	1	1	NUM
cana-5933	404	49	−	−	NOUN
cana-5933	404	50	𝜃31	𝜃31	NUM
cana-5933	404	51	)	)	PUNCT
cana-5933	404	52	(	(	PUNCT
cana-5933	404	53	𝜃32	𝜃32	PROPN
cana-5933	404	54	,	,	PUNCT
cana-5933	404	55	1	1	NUM
cana-5933	404	56	−	−	NOUN
cana-5933	404	57	𝜃32	𝜃32	PROPN
cana-5933	404	58	)	)	PUNCT
cana-5933	404	59	(	(	PUNCT
cana-5933	404	60	𝜃33	𝜃33	NOUN
cana-5933	404	61	,	,	PUNCT
cana-5933	404	62	1	1	NUM
cana-5933	404	63	−	−	NOUN
cana-5933	404	64	𝜃33	𝜃33	NOUN
cana-5933	404	65	)	)	PUNCT
cana-5933	404	66	)	)	PUNCT
cana-5933	405	1	where	where	SCONJ
cana-5933	405	2	,	,	PUNCT
cana-5933	405	3	𝑋11	𝑋11	PROPN
cana-5933	405	4	=(	=(	NOUN
cana-5933	405	5	(	(	PUNCT
cana-5933	405	6	𝜋11	𝜋11	NOUN
cana-5933	405	7	,	,	PUNCT
cana-5933	405	8	1	1	NUM
cana-5933	405	9	−	−	NOUN
cana-5933	405	10	𝜋11	𝜋11	NOUN
cana-5933	405	11	)	)	PUNCT
cana-5933	405	12	$	$	SYM
cana-5933	405	13	(	(	PUNCT
cana-5933	405	14	𝜃11	𝜃11	NOUN
cana-5933	405	15	,	,	PUNCT
cana-5933	405	16	1	1	NUM
cana-5933	405	17	−	−	NOUN
cana-5933	405	18	𝜃11	𝜃11	NOUN
cana-5933	405	19	)	)	PUNCT
cana-5933	405	20	)	)	PUNCT
cana-5933	405	21	,	,	PUNCT
cana-5933	405	22	𝑋12=((𝜋12	𝑋12=((𝜋12	VERB
cana-5933	405	23	,	,	PUNCT
cana-5933	405	24	1	1	NUM
cana-5933	405	25	−	−	NOUN
cana-5933	405	26	𝜋12	𝜋12	NOUN
cana-5933	405	27	)	)	PUNCT
cana-5933	405	28	$	$	SYM
cana-5933	405	29	(	(	PUNCT
cana-5933	405	30	𝜃21	𝜃21	NOUN
cana-5933	405	31	,	,	PUNCT
cana-5933	405	32	1	1	NUM
cana-5933	405	33	−	−	NOUN
cana-5933	405	34	𝜃21	𝜃21	NOUN
cana-5933	405	35	)	)	PUNCT
cana-5933	405	36	)	)	PUNCT
cana-5933	405	37	𝑋13=((𝜋13	𝑋13=((𝜋13	PROPN
cana-5933	405	38	,	,	PUNCT
cana-5933	405	39	1	1	NUM
cana-5933	405	40	−	−	NOUN
cana-5933	405	41	𝜋13	𝜋13	NOUN
cana-5933	405	42	)	)	PUNCT
cana-5933	405	43	$	$	SYM
cana-5933	405	44	(	(	PUNCT
cana-5933	405	45	𝜃31	𝜃31	PROPN
cana-5933	405	46	,	,	PUNCT
cana-5933	405	47	1	1	NUM
cana-5933	405	48	−	−	NOUN
cana-5933	405	49	𝜃31	𝜃31	NUM
cana-5933	405	50	)	)	PUNCT
cana-5933	405	51	)	)	PUNCT
cana-5933	405	52	,	,	PUNCT
cana-5933	405	53	𝑋21=((𝜋21	𝑋21=((𝜋21	PROPN
cana-5933	405	54	,	,	PUNCT
cana-5933	405	55	1	1	NUM
cana-5933	405	56	−	−	NOUN
cana-5933	405	57	𝜋21	𝜋21	PROPN
cana-5933	405	58	)	)	PUNCT
cana-5933	405	59	$	$	SYM
cana-5933	405	60	(	(	PUNCT
cana-5933	405	61	𝜃12	𝜃12	ADJ
cana-5933	405	62	,	,	PUNCT
cana-5933	405	63	1	1	NUM
cana-5933	405	64	−	−	NOUN
cana-5933	405	65	𝜃12	𝜃12	NUM
cana-5933	405	66	)	)	PUNCT
cana-5933	405	67	)	)	PUNCT
cana-5933	406	1	𝑋22=((𝜋22	𝑋22=((𝜋22	PROPN
cana-5933	406	2	,	,	PUNCT
cana-5933	406	3	1	1	NUM
cana-5933	406	4	−	−	NOUN
cana-5933	406	5	𝜋22	𝜋22	NOUN
cana-5933	406	6	)	)	PUNCT
cana-5933	406	7	$	$	SYM
cana-5933	406	8	(	(	PUNCT
cana-5933	406	9	𝜃22	𝜃22	ADJ
cana-5933	406	10	,	,	PUNCT
cana-5933	406	11	1	1	NUM
cana-5933	406	12	−	−	NOUN
cana-5933	406	13	𝜃22	𝜃22	NOUN
cana-5933	406	14	)	)	PUNCT
cana-5933	406	15	)	)	PUNCT
cana-5933	406	16	,	,	PUNCT
cana-5933	406	17	𝑋23=((𝜋23	𝑋23=((𝜋23	PROPN
cana-5933	406	18	,	,	PUNCT
cana-5933	406	19	1	1	NUM
cana-5933	406	20	−	−	NOUN
cana-5933	406	21	𝜋23	𝜋23	ADJ
cana-5933	406	22	)	)	PUNCT
cana-5933	406	23	$	$	SYM
cana-5933	406	24	(	(	PUNCT
cana-5933	406	25	𝜃32	𝜃32	PROPN
cana-5933	406	26	,	,	PUNCT
cana-5933	406	27	1	1	NUM
cana-5933	406	28	−	−	NOUN
cana-5933	406	29	𝜃32	𝜃32	NOUN
cana-5933	406	30	)	)	PUNCT
cana-5933	406	31	)	)	PUNCT
cana-5933	406	32	𝑋31=	𝑋31=	ADP
cana-5933	406	33	(	(	PUNCT
cana-5933	406	34	(	(	PUNCT
cana-5933	406	35	𝜋31	𝜋31	PROPN
cana-5933	406	36	,	,	PUNCT
cana-5933	406	37	1	1	NUM
cana-5933	406	38	−	−	NOUN
cana-5933	406	39	𝜋31	𝜋31	NOUN
cana-5933	406	40	)	)	PUNCT
cana-5933	406	41	$	$	SYM
cana-5933	406	42	(	(	PUNCT
cana-5933	406	43	𝜃13	𝜃13	PROPN
cana-5933	406	44	,	,	PUNCT
cana-5933	406	45	1	1	NUM
cana-5933	406	46	−	−	NOUN
cana-5933	406	47	𝜃13	𝜃13	NOUN
cana-5933	406	48	)	)	PUNCT
cana-5933	406	49	)	)	PUNCT
cana-5933	406	50	,	,	PUNCT
cana-5933	406	51	𝑋32=((𝜋32	𝑋32=((𝜋32	PROPN
cana-5933	406	52	,	,	PUNCT
cana-5933	406	53	1	1	NUM
cana-5933	406	54	−	−	NOUN
cana-5933	406	55	𝜋32	𝜋32	NOUN
cana-5933	406	56	)	)	PUNCT
cana-5933	406	57	$	$	SYM
cana-5933	406	58	(	(	PUNCT
cana-5933	406	59	𝜃23	𝜃23	PROPN
cana-5933	406	60	,	,	PUNCT
cana-5933	406	61	1	1	NUM
cana-5933	406	62	−	−	PROPN
cana-5933	406	63	𝜃23	𝜃23	NOUN
cana-5933	406	64	)	)	PUNCT
cana-5933	406	65	)	)	PUNCT
cana-5933	407	1	𝑋33=((𝜋33	𝑋33=((𝜋33	PROPN
cana-5933	407	2	,	,	PUNCT
cana-5933	407	3	1	1	NUM
cana-5933	407	4	−	−	NOUN
cana-5933	407	5	𝜋33	𝜋33	NOUN
cana-5933	407	6	)	)	PUNCT
cana-5933	407	7	$	$	SYM
cana-5933	407	8	(	(	PUNCT
cana-5933	407	9	𝜃33	𝜃33	NOUN
cana-5933	407	10	,	,	PUNCT
cana-5933	407	11	1	1	NUM
cana-5933	407	12	−	−	NOUN
cana-5933	407	13	𝜃33	𝜃33	NOUN
cana-5933	407	14	)	)	PUNCT
cana-5933	407	15	)	)	PUNCT
cana-5933	407	16	.now	.now	PUNCT
cana-5933	408	1	applying	apply	VERB
cana-5933	408	2	the	the	DET
cana-5933	408	3	formula	formula	NOUN
cana-5933	408	4	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	408	5	̅̅	̅̅	PROPN
cana-5933	408	6	̅̅	̅̅	PROPN
cana-5933	408	7	$	$	SYM
cana-5933	408	8	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	408	9	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	408	10	=	=	X
cana-5933	408	11	{	{	PUNCT
cana-5933	408	12	〈	〈	PROPN
cana-5933	408	13	x	x	PROPN
cana-5933	408	14	,	,	PUNCT
cana-5933	408	15	y	y	PROPN
cana-5933	408	16	〉	〉	NOUN
cana-5933	408	17	,	,	PUNCT
cana-5933	408	18	√𝜇𝐴̅̅̅̅	√𝜇𝐴̅̅̅̅	VERB
cana-5933	408	19	(	(	PUNCT
cana-5933	408	20	x	x	X
cana-5933	408	21	)	)	PUNCT
cana-5933	408	22	∙	∙	PROPN
cana-5933	408	23	𝜇𝐵̅̅̅̅	𝜇𝐵̅̅̅̅	PROPN
cana-5933	408	24	(	(	PUNCT
cana-5933	408	25	y	y	NOUN
cana-5933	408	26	)	)	PUNCT
cana-5933	408	27	,	,	PUNCT
cana-5933	408	28	√	√	PROPN
cana-5933	408	29	(	(	PUNCT
cana-5933	408	30	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	408	31	̅̅	̅̅	NOUN
cana-5933	408	32	̅(x	̅(x	NOUN
cana-5933	408	33	)	)	PUNCT
cana-5933	408	34	∙	∙	PROPN
cana-5933	408	35	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	408	36	̅̅	̅̅	NOUN
cana-5933	408	37	̅	̅	NOUN
cana-5933	408	38	(	(	PUNCT
cana-5933	408	39	y	y	NOUN
cana-5933	408	40	):	):	PUNCT
cana-5933	408	41	xe	xe	PROPN
cana-5933	408	42	,	,	PUNCT
cana-5933	408	43	y𝐹	y𝐹	PROPN
cana-5933	408	44	}	}	PUNCT
cana-5933	408	45	𝑋11=	𝑋11=	NOUN
cana-5933	408	46	{	{	PUNCT
cana-5933	408	47	√𝜋11(x	√𝜋11(x	NOUN
cana-5933	408	48	)	)	PUNCT
cana-5933	408	49	.	.	PUNCT
cana-5933	409	1	𝜃11(y	𝜃11(y	VERB
cana-5933	409	2	)	)	PUNCT
cana-5933	409	3	,	,	PUNCT
cana-5933	409	4	√1	√1	ADV
cana-5933	409	5	−	−	PROPN
cana-5933	409	6	𝜋11(x	𝜋11(x	NOUN
cana-5933	409	7	)	)	PUNCT
cana-5933	409	8	.	.	PUNCT
cana-5933	410	1	1	1	NUM
cana-5933	410	2	−	−	NOUN
cana-5933	410	3	𝜃11(y	𝜃11(y	NUM
cana-5933	410	4	)	)	PUNCT
cana-5933	410	5	}	}	PUNCT
cana-5933	410	6	,	,	PUNCT
cana-5933	410	7	𝑋12=	𝑋12=	PROPN
cana-5933	410	8	{	{	PUNCT
cana-5933	410	9	√𝜋12(x	√𝜋12(x	PROPN
cana-5933	410	10	)	)	PUNCT
cana-5933	410	11	.	.	PUNCT
cana-5933	411	1	𝜃21(y	𝜃21(y	PROPN
cana-5933	411	2	)	)	PUNCT
cana-5933	411	3	,	,	PUNCT
cana-5933	411	4	√1	√1	PROPN
cana-5933	412	1	−	−	PROPN
cana-5933	412	2	𝜋12(x	𝜋12(x	PROPN
cana-5933	412	3	)	)	PUNCT
cana-5933	412	4	.	.	PUNCT
cana-5933	413	1	1	1	NUM
cana-5933	413	2	−	−	PROPN
cana-5933	413	3	𝜃21(y	𝜃21(y	PROPN
cana-5933	413	4	)	)	PUNCT
cana-5933	413	5	}	}	PUNCT
cana-5933	413	6	𝑋13=	𝑋13=	PROPN
cana-5933	413	7	{	{	PUNCT
cana-5933	413	8	√𝜋13(x	√𝜋13(x	NUM
cana-5933	413	9	)	)	PUNCT
cana-5933	413	10	.	.	PUNCT
cana-5933	414	1	𝜃31(y	𝜃31(y	VERB
cana-5933	414	2	)	)	PUNCT
cana-5933	414	3	,	,	PUNCT
cana-5933	414	4	√1	√1	PROPN
cana-5933	414	5	−	−	PROPN
cana-5933	414	6	𝜋13(x	𝜋13(x	NOUN
cana-5933	414	7	)	)	PUNCT
cana-5933	414	8	.	.	PUNCT
cana-5933	415	1	1	1	NUM
cana-5933	415	2	−	−	NOUN
cana-5933	415	3	𝜃31(y	𝜃31(y	NUM
cana-5933	415	4	)	)	PUNCT
cana-5933	415	5	}	}	PUNCT
cana-5933	415	6	,	,	PUNCT
cana-5933	415	7	𝑋21=	𝑋21=	X
cana-5933	415	8	{	{	PUNCT
cana-5933	415	9	√𝜋21(x	√𝜋21(x	NOUN
cana-5933	415	10	)	)	PUNCT
cana-5933	415	11	.	.	PUNCT
cana-5933	416	1	𝜃12(y	𝜃12(y	ADV
cana-5933	416	2	)	)	PUNCT
cana-5933	416	3	,	,	PUNCT
cana-5933	416	4	√1	√1	ADV
cana-5933	416	5	−	−	PROPN
cana-5933	416	6	𝜋21(x	𝜋21(x	NOUN
cana-5933	416	7	)	)	PUNCT
cana-5933	416	8	.	.	PUNCT
cana-5933	417	1	1	1	NUM
cana-5933	417	2	−	−	NOUN
cana-5933	417	3	𝜃12(y	𝜃12(y	ADV
cana-5933	417	4	)	)	PUNCT
cana-5933	417	5	}	}	PUNCT
cana-5933	417	6	𝑋22=	𝑋22=	PROPN
cana-5933	417	7	{	{	PUNCT
cana-5933	417	8	√𝜋22(x	√𝜋22(x	NOUN
cana-5933	417	9	)	)	PUNCT
cana-5933	417	10	.	.	PUNCT
cana-5933	418	1	𝜃22(y	𝜃22(y	ADV
cana-5933	418	2	)	)	PUNCT
cana-5933	419	1	,	,	PUNCT
cana-5933	419	2	√1	√1	ADV
cana-5933	419	3	−	−	NOUN
cana-5933	419	4	𝜋22(x	𝜋22(x	NOUN
cana-5933	419	5	)	)	PUNCT
cana-5933	419	6	.	.	PUNCT
cana-5933	420	1	1	1	NUM
cana-5933	420	2	−	−	NOUN
cana-5933	420	3	𝜃22(y	𝜃22(y	NOUN
cana-5933	420	4	)	)	PUNCT
cana-5933	420	5	}	}	PUNCT
cana-5933	420	6	𝑋23=	𝑋23=	NOUN
cana-5933	420	7	{	{	PUNCT
cana-5933	420	8	√𝜋23(x	√𝜋23(x	NUM
cana-5933	420	9	)	)	PUNCT
cana-5933	420	10	.	.	PUNCT
cana-5933	421	1	𝜃32(y	𝜃32(y	ADJ
cana-5933	421	2	)	)	PUNCT
cana-5933	421	3	,	,	PUNCT
cana-5933	421	4	√1	√1	PROPN
cana-5933	421	5	−	−	PROPN
cana-5933	421	6	𝜋23(x	𝜋23(x	PROPN
cana-5933	421	7	)	)	PUNCT
cana-5933	421	8	.	.	PUNCT
cana-5933	422	1	1	1	NUM
cana-5933	422	2	−	−	NOUN
cana-5933	422	3	𝜃32(y	𝜃32(y	NOUN
cana-5933	422	4	)	)	PUNCT
cana-5933	422	5	}	}	PUNCT
cana-5933	422	6	𝑋31=	𝑋31=	ADP
cana-5933	422	7	{	{	PUNCT
cana-5933	422	8	√𝜋31(x	√𝜋31(x	NOUN
cana-5933	422	9	)	)	PUNCT
cana-5933	422	10	.	.	PUNCT
cana-5933	423	1	𝜃13(y	𝜃13(y	NOUN
cana-5933	423	2	)	)	PUNCT
cana-5933	423	3	,	,	PUNCT
cana-5933	423	4	√1	√1	ADV
cana-5933	423	5	−	−	PROPN
cana-5933	423	6	𝜋31(x	𝜋31(x	NOUN
cana-5933	423	7	)	)	PUNCT
cana-5933	423	8	.	.	PUNCT
cana-5933	424	1	1	1	NUM
cana-5933	424	2	−	−	NOUN
cana-5933	424	3	𝜃13(y	𝜃13(y	NOUN
cana-5933	424	4	)	)	PUNCT
cana-5933	424	5	}	}	PUNCT
cana-5933	424	6	𝑋32=	𝑋32=	NOUN
cana-5933	424	7	{	{	PUNCT
cana-5933	424	8	√𝜋32(x	√𝜋32(x	NOUN
cana-5933	424	9	)	)	PUNCT
cana-5933	424	10	.	.	PUNCT
cana-5933	425	1	𝜃23(y	𝜃23(y	PROPN
cana-5933	425	2	)	)	PUNCT
cana-5933	425	3	,	,	PUNCT
cana-5933	425	4	√1	√1	PROPN
cana-5933	425	5	−	−	PROPN
cana-5933	425	6	𝜋32(x	𝜋32(x	NOUN
cana-5933	425	7	)	)	PUNCT
cana-5933	425	8	.	.	PUNCT
cana-5933	426	1	1	1	NUM
cana-5933	426	2	−	−	NOUN
cana-5933	426	3	𝜃23(y	𝜃23(y	PROPN
cana-5933	426	4	)	)	PUNCT
cana-5933	426	5	}	}	PUNCT
cana-5933	426	6	𝑋33=	𝑋33=	NOUN
cana-5933	426	7	{	{	PUNCT
cana-5933	426	8	√𝜋33(x	√𝜋33(x	NOUN
cana-5933	426	9	)	)	PUNCT
cana-5933	426	10	.	.	PUNCT
cana-5933	427	1	𝜃33(y	𝜃33(y	PROPN
cana-5933	427	2	)	)	PUNCT
cana-5933	427	3	,	,	PUNCT
cana-5933	427	4	√1	√1	PROPN
cana-5933	427	5	−	−	PROPN
cana-5933	427	6	𝜋33(x	𝜋33(x	NOUN
cana-5933	427	7	)	)	PUNCT
cana-5933	427	8	.	.	PUNCT
cana-5933	428	1	1	1	NUM
cana-5933	428	2	−	−	NOUN
cana-5933	428	3	𝜃33(y	𝜃33(y	NOUN
cana-5933	428	4	)	)	PUNCT
cana-5933	428	5	}	}	PUNCT
cana-5933	428	6	we	we	PRON
cana-5933	428	7	have	have	VERB
cana-5933	428	8	,	,	PUNCT
cana-5933	428	9	𝐴𝐸	𝐴𝐸	X
cana-5933	428	10	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	428	11	$	$	SYM
cana-5933	428	12	𝐵𝐹	𝐵𝐹	NUM
cana-5933	428	13	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	428	14	=	=	X
cana-5933	429	1	(	(	PUNCT
cana-5933	429	2	𝑋11	𝑋11	PROPN
cana-5933	429	3	𝑋12	𝑋12	PROPN
cana-5933	429	4	𝑋13	𝑋13	PROPN
cana-5933	429	5	𝑋21	𝑋21	PROPN
cana-5933	429	6	𝑋22	𝑋22	VERB
cana-5933	429	7	𝑋23	𝑋23	PROPN
cana-5933	429	8	𝑋31	𝑋31	PROPN
cana-5933	429	9	𝑋32	𝑋32	PROPN
cana-5933	429	10	𝑋33	𝑋33	PROPN
cana-5933	429	11	)	)	PUNCT
cana-5933	429	12	is	be	AUX
cana-5933	429	13	also	also	ADV
cana-5933	429	14	intuitionistic	intuitionistic	ADJ
cana-5933	429	15	fuzzy	fuzzy	ADJ
cana-5933	429	16	matrix	matrix	NOUN
cana-5933	429	17	.	.	PUNCT
cana-5933	430	1	theorem	theorem	ADJ
cana-5933	430	2	6.7.8	6.7.8	NOUN
cana-5933	430	3	:	:	PUNCT
cana-5933	430	4	if	if	SCONJ
cana-5933	430	5	e	e	PROPN
cana-5933	430	6	and	and	CCONJ
cana-5933	430	7	f	f	PROPN
cana-5933	430	8	be	be	AUX
cana-5933	430	9	two	two	NUM
cana-5933	430	10	universal	universal	ADJ
cana-5933	430	11	sets	set	NOUN
cana-5933	430	12	.	.	PUNCT
cana-5933	431	1	for	for	ADP
cana-5933	431	2	every	every	DET
cana-5933	431	3	necessity	necessity	NOUN
cana-5933	431	4	function	function	NOUN
cana-5933	431	5	of	of	ADP
cana-5933	431	6	intuitionistic	intuitionistic	ADJ
cana-5933	431	7	fuzzy	fuzzy	ADJ
cana-5933	431	8	matrix	matrix	NOUN
cana-5933	431	9	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	431	10	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	431	11	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-5933	431	12	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	431	13	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	431	14	are	be	AUX
cana-5933	431	15	intuitionistic	intuitionistic	ADJ
cana-5933	431	16	fuzzy	fuzzy	ADJ
cana-5933	431	17	matrix	matrix	NOUN
cana-5933	431	18	in	in	ADP
cana-5933	431	19	e	e	PROPN
cana-5933	431	20	and	and	CCONJ
cana-5933	431	21	f	f	PROPN
cana-5933	431	22	then	then	ADV
cana-5933	431	23			PROPN
cana-5933	431	24	�	�	PROPN
cana-5933	431	25	̅	̅	NOUN
cana-5933	431	26	�	�	NOUN
cana-5933	431	27	𝐸	𝐸	PROPN
cana-5933	431	28	∗	∗	NOUN
cana-5933	431	29			PROPN
cana-5933	431	30	�	�	PROPN
cana-5933	431	31	̅	̅	NOUN
cana-5933	431	32	�	�	NOUN
cana-5933	431	33	𝐹	𝐹	PROPN
cana-5933	431	34	is	be	AUX
cana-5933	431	35	also	also	ADV
cana-5933	431	36	necessity	necessity	NOUN
cana-5933	431	37	function	function	NOUN
cana-5933	431	38	of	of	ADP
cana-5933	431	39	intuitionistic	intuitionistic	ADJ
cana-5933	431	40	fuzzy	fuzzy	ADJ
cana-5933	431	41	matrix	matrix	NOUN
cana-5933	431	42	.	.	PUNCT
cana-5933	432	1	communications	communication	NOUN
cana-5933	432	2	on	on	ADP
cana-5933	432	3	applied	apply	VERB
cana-5933	432	4	nonlinear	nonlinear	ADJ
cana-5933	432	5	analysis	analysis	NOUN
cana-5933	432	6	issn	issn	NOUN
cana-5933	432	7	:	:	PUNCT
cana-5933	432	8	1074	1074	NUM
cana-5933	432	9	-	-	PUNCT
cana-5933	432	10	133x	133x	NUM
cana-5933	432	11	vol	vol	VERB
cana-5933	432	12	32	32	NUM
cana-5933	432	13	no	no	NOUN
cana-5933	432	14	.	.	PUNCT
cana-5933	433	1	10s	10	NOUN
cana-5933	433	2	(	(	PUNCT
cana-5933	433	3	2025	2025	NUM
cana-5933	433	4	)	)	PUNCT
cana-5933	433	5	3154	3154	NUM
cana-5933	434	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	434	2	proof	proof	NOUN
cana-5933	434	3	:	:	PUNCT
cana-5933	434	4	if	if	SCONJ
cana-5933	434	5	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	434	6	and	and	CCONJ
cana-5933	434	7	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	434	8	are	be	AUX
cana-5933	434	9	two	two	NUM
cana-5933	434	10	intuitionistic	intuitionistic	ADJ
cana-5933	434	11	fuzzy	fuzzy	ADJ
cana-5933	434	12	matrices	matrix	NOUN
cana-5933	434	13	sets	set	NOUN
cana-5933	434	14	over	over	ADP
cana-5933	434	15	different	different	ADJ
cana-5933	434	16	universes	universe	NOUN
cana-5933	434	17	e	e	PROPN
cana-5933	434	18	&	&	CCONJ
cana-5933	434	19	f	f	PROPN
cana-5933	434	20	and	and	CCONJ
cana-5933	434	21	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	434	22	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	434	23	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5933	434	24	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	434	25	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	434	26	are	be	AUX
cana-5933	434	27	also	also	ADV
cana-5933	434	28	intuitionistic	intuitionistic	ADJ
cana-5933	434	29	fuzzy	fuzzy	ADJ
cana-5933	434	30	matrices	matrix	NOUN
cana-5933	434	31	sets	set	NOUN
cana-5933	434	32	over	over	ADP
cana-5933	434	33	different	different	ADJ
cana-5933	434	34	universes	universe	NOUN
cana-5933	434	35	e	e	NOUN
cana-5933	434	36	and	and	CCONJ
cana-5933	434	37	f.	f.	PROPN
cana-5933	434	38	if	if	SCONJ
cana-5933	434	39	we	we	PRON
cana-5933	434	40	consider	consider	VERB
cana-5933	434	41	to	to	ADP
cana-5933	434	42	3×	3×	NUM
cana-5933	434	43	3	3	NUM
cana-5933	434	44	matrix	matrix	NOUN
cana-5933	434	45	.	.	PUNCT
cana-5933	435	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	435	2	=	=	SYM
cana-5933	435	3	(	(	PUNCT
cana-5933	435	4	(	(	PUNCT
cana-5933	435	5	𝜇11	𝜇11	ADJ
cana-5933	435	6	,	,	PUNCT
cana-5933	435	7	𝜋11	𝜋11	NOUN
cana-5933	435	8	)	)	PUNCT
cana-5933	435	9	(	(	PUNCT
cana-5933	435	10	𝜇12	𝜇12	NOUN
cana-5933	435	11	,	,	PUNCT
cana-5933	435	12	𝜋12	𝜋12	NOUN
cana-5933	435	13	)	)	PUNCT
cana-5933	435	14	(	(	PUNCT
cana-5933	435	15	𝜇13	𝜇13	NOUN
cana-5933	435	16	,	,	PUNCT
cana-5933	435	17	𝜋13	𝜋13	NOUN
cana-5933	435	18	)	)	PUNCT
cana-5933	435	19	(	(	PUNCT
cana-5933	435	20	𝜇21	𝜇21	NOUN
cana-5933	435	21	,	,	PUNCT
cana-5933	435	22	𝜋21	𝜋21	NOUN
cana-5933	435	23	)	)	PUNCT
cana-5933	435	24	(	(	PUNCT
cana-5933	435	25	𝜇22	𝜇22	NOUN
cana-5933	435	26	,	,	PUNCT
cana-5933	435	27	𝜋22	𝜋22	NOUN
cana-5933	435	28	)	)	PUNCT
cana-5933	435	29	(	(	PUNCT
cana-5933	435	30	𝜇23	𝜇23	PROPN
cana-5933	435	31	,	,	PUNCT
cana-5933	435	32	𝜋23	𝜋23	ADJ
cana-5933	435	33	)	)	PUNCT
cana-5933	435	34	(	(	PUNCT
cana-5933	435	35	𝜇31	𝜇31	PROPN
cana-5933	435	36	,	,	PUNCT
cana-5933	435	37	𝜋31	𝜋31	PROPN
cana-5933	435	38	)	)	PUNCT
cana-5933	435	39	(	(	PUNCT
cana-5933	435	40	𝜇32	𝜇32	NOUN
cana-5933	435	41	,	,	PUNCT
cana-5933	435	42	𝜋32	𝜋32	NOUN
cana-5933	435	43	)	)	PUNCT
cana-5933	435	44	(	(	PUNCT
cana-5933	435	45	𝜇33	𝜇33	NOUN
cana-5933	435	46	,	,	PUNCT
cana-5933	435	47	𝜋33	𝜋33	NOUN
cana-5933	435	48	)	)	PUNCT
cana-5933	435	49	)	)	PUNCT
cana-5933	435	50	and	and	CCONJ
cana-5933	435	51	𝐵𝐹=	𝐵𝐹=	NOUN
cana-5933	435	52	(	(	PUNCT
cana-5933	435	53	(	(	PUNCT
cana-5933	435	54	𝜗11	𝜗11	NOUN
cana-5933	435	55	,	,	PUNCT
cana-5933	435	56	𝜃11	𝜃11	NOUN
cana-5933	435	57	)	)	PUNCT
cana-5933	435	58	(	(	PUNCT
cana-5933	435	59	𝜗12	𝜗12	PROPN
cana-5933	435	60	,	,	PUNCT
cana-5933	435	61	𝜃12	𝜃12	NUM
cana-5933	435	62	)	)	PUNCT
cana-5933	435	63	(	(	PUNCT
cana-5933	435	64	𝜗13	𝜗13	PROPN
cana-5933	435	65	,	,	PUNCT
cana-5933	435	66	𝜃13	𝜃13	PROPN
cana-5933	435	67	)	)	PUNCT
cana-5933	435	68	(	(	PUNCT
cana-5933	435	69	𝜗21	𝜗21	NOUN
cana-5933	435	70	,	,	PUNCT
cana-5933	435	71	𝜃21	𝜃21	NOUN
cana-5933	435	72	)	)	PUNCT
cana-5933	435	73	(	(	PUNCT
cana-5933	435	74	𝜗22	𝜗22	PROPN
cana-5933	435	75	,	,	PUNCT
cana-5933	435	76	𝜃22	𝜃22	NOUN
cana-5933	435	77	)	)	PUNCT
cana-5933	435	78	(	(	PUNCT
cana-5933	435	79	𝜗23	𝜗23	PROPN
cana-5933	435	80	,	,	PUNCT
cana-5933	435	81	𝜃23	𝜃23	PROPN
cana-5933	435	82	)	)	PUNCT
cana-5933	435	83	(	(	PUNCT
cana-5933	435	84	𝜗31	𝜗31	NUM
cana-5933	435	85	,	,	PUNCT
cana-5933	435	86	𝜃31	𝜃31	NUM
cana-5933	435	87	)	)	PUNCT
cana-5933	435	88	(	(	PUNCT
cana-5933	435	89	𝜗32	𝜗32	PROPN
cana-5933	435	90	,	,	PUNCT
cana-5933	435	91	𝜃32	𝜃32	PROPN
cana-5933	435	92	)	)	PUNCT
cana-5933	435	93	(	(	PUNCT
cana-5933	435	94	𝜗33	𝜗33	NOUN
cana-5933	435	95	,	,	PUNCT
cana-5933	435	96	𝜃33	𝜃33	NUM
cana-5933	435	97	)	)	PUNCT
cana-5933	435	98	)	)	PUNCT
cana-5933	436	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	436	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	436	3	=	=	X
cana-5933	436	4	(	(	PUNCT
cana-5933	436	5	(	(	PUNCT
cana-5933	436	6	𝜋11	𝜋11	NOUN
cana-5933	436	7	,	,	PUNCT
cana-5933	436	8	𝜇11	𝜇11	NOUN
cana-5933	436	9	)	)	PUNCT
cana-5933	436	10	(	(	PUNCT
cana-5933	436	11	𝜋12	𝜋12	NOUN
cana-5933	436	12	,	,	PUNCT
cana-5933	436	13	𝜇12	𝜇12	NOUN
cana-5933	436	14	)	)	PUNCT
cana-5933	436	15	(	(	PUNCT
cana-5933	436	16	𝜋13	𝜋13	PROPN
cana-5933	436	17	,	,	PUNCT
cana-5933	436	18	𝜇13	𝜇13	NOUN
cana-5933	436	19	)	)	PUNCT
cana-5933	436	20	(	(	PUNCT
cana-5933	436	21	𝜋21	𝜋21	ADJ
cana-5933	436	22	,	,	PUNCT
cana-5933	436	23	𝜇21	𝜇21	NOUN
cana-5933	436	24	)	)	PUNCT
cana-5933	436	25	(	(	PUNCT
cana-5933	436	26	𝜋22	𝜋22	NOUN
cana-5933	436	27	,	,	PUNCT
cana-5933	436	28	𝜇22	𝜇22	PROPN
cana-5933	436	29	)	)	PUNCT
cana-5933	436	30	(	(	PUNCT
cana-5933	436	31	𝜋23	𝜋23	ADJ
cana-5933	436	32	,	,	PUNCT
cana-5933	436	33	𝜇23	𝜇23	NOUN
cana-5933	436	34	)	)	PUNCT
cana-5933	436	35	(	(	PUNCT
cana-5933	436	36	𝜋31	𝜋31	PROPN
cana-5933	436	37	,	,	PUNCT
cana-5933	436	38	𝜇31	𝜇31	NOUN
cana-5933	436	39	)	)	PUNCT
cana-5933	436	40	(	(	PUNCT
cana-5933	436	41	𝜋32	𝜋32	NOUN
cana-5933	436	42	,	,	PUNCT
cana-5933	436	43	𝜇32	𝜇32	NOUN
cana-5933	436	44	)	)	PUNCT
cana-5933	436	45	(	(	PUNCT
cana-5933	436	46	𝜋33	𝜋33	PROPN
cana-5933	436	47	,	,	PUNCT
cana-5933	436	48	𝜇33	𝜇33	NOUN
cana-5933	436	49	)	)	PUNCT
cana-5933	436	50	)	)	PUNCT
cana-5933	436	51	and	and	CCONJ
cana-5933	436	52	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	436	53	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	436	54	=(	=(	NOUN
cana-5933	436	55	(	(	PUNCT
cana-5933	436	56	𝜃11	𝜃11	ADJ
cana-5933	436	57	,	,	PUNCT
cana-5933	436	58	𝜗11	𝜗11	NOUN
cana-5933	436	59	)	)	PUNCT
cana-5933	436	60	(	(	PUNCT
cana-5933	436	61	𝜃12	𝜃12	ADJ
cana-5933	436	62	,	,	PUNCT
cana-5933	436	63	𝜗12	𝜗12	PROPN
cana-5933	436	64	)	)	PUNCT
cana-5933	436	65	(	(	PUNCT
cana-5933	436	66	𝜃13	𝜃13	PROPN
cana-5933	436	67	,	,	PUNCT
cana-5933	436	68	𝜗13	𝜗13	NOUN
cana-5933	436	69	)	)	PUNCT
cana-5933	436	70	(	(	PUNCT
cana-5933	436	71	𝜃21	𝜃21	NOUN
cana-5933	436	72	,	,	PUNCT
cana-5933	436	73	𝜗21	𝜗21	NOUN
cana-5933	436	74	)	)	PUNCT
cana-5933	436	75	(	(	PUNCT
cana-5933	436	76	𝜃22	𝜃22	NOUN
cana-5933	436	77	,	,	PUNCT
cana-5933	436	78	𝜗22	𝜗22	PROPN
cana-5933	436	79	)	)	PUNCT
cana-5933	436	80	(	(	PUNCT
cana-5933	436	81	𝜃23	𝜃23	PROPN
cana-5933	436	82	,	,	PUNCT
cana-5933	436	83	𝜗23	𝜗23	ADJ
cana-5933	436	84	)	)	PUNCT
cana-5933	436	85	(	(	PUNCT
cana-5933	436	86	𝜃31	𝜃31	PROPN
cana-5933	436	87	,	,	PUNCT
cana-5933	436	88	𝜗31	𝜗31	NUM
cana-5933	436	89	)	)	PUNCT
cana-5933	436	90	(	(	PUNCT
cana-5933	436	91	𝜃32	𝜃32	PROPN
cana-5933	436	92	,	,	PUNCT
cana-5933	436	93	𝜗32	𝜗32	PROPN
cana-5933	436	94	)	)	PUNCT
cana-5933	436	95	(	(	PUNCT
cana-5933	436	96	𝜃33	𝜃33	NOUN
cana-5933	436	97	,	,	PUNCT
cana-5933	436	98	𝜗33	𝜗33	NOUN
cana-5933	436	99	)	)	PUNCT
cana-5933	436	100	)	)	PUNCT
cana-5933	437	1	if	if	SCONJ
cana-5933	437	2	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	437	3	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	437	4	=	=	X
cana-5933	437	5	{	{	PUNCT
cana-5933	437	6	x	x	NOUN
cana-5933	437	7	,	,	PUNCT
cana-5933	437	8	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	437	9	)	)	PUNCT
cana-5933	437	10	,	,	PUNCT
cana-5933	437	11	𝜇(x	𝜇(x	X
cana-5933	437	12	):	):	PUNCT
cana-5933	437	13	xx	xx	PRON
cana-5933	437	14	}	}	PUNCT
cana-5933	437	15	and	and	CCONJ
cana-5933	437	16	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	437	17	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	437	18	=	=	PUNCT
cana-5933	437	19	{	{	PUNCT
cana-5933	437	20	y	y	PROPN
cana-5933	437	21	,	,	PUNCT
cana-5933	437	22	𝜃𝐴(y	𝜃𝐴(y	PROPN
cana-5933	437	23	)	)	PUNCT
cana-5933	437	24	,	,	PUNCT
cana-5933	437	25	𝜗𝐴(y	𝜗𝐴(y	PROPN
cana-5933	437	26	):	):	PUNCT
cana-5933	437	27	yy	yy	PROPN
cana-5933	437	28	}	}	PUNCT
cana-5933	437	29	are	be	AUX
cana-5933	437	30	two	two	NUM
cana-5933	437	31	also	also	ADV
cana-5933	437	32	intuitionistic	intuitionistic	ADJ
cana-5933	437	33	fuzzy	fuzzy	ADJ
cana-5933	437	34	matrices	matrix	NOUN
cana-5933	437	35	sets	set	NOUN
cana-5933	437	36	over	over	ADP
cana-5933	437	37	different	different	ADJ
cana-5933	437	38	universes	universe	NOUN
cana-5933	437	39	e	e	NOUN
cana-5933	437	40	and	and	CCONJ
cana-5933	437	41	f.	f.	PROPN
cana-5933	437	42	by	by	ADP
cana-5933	437	43	the	the	DET
cana-5933	437	44	definition	definition	NOUN
cana-5933	437	45	of	of	ADP
cana-5933	437	46	𝐴𝐸	𝐴𝐸	X
cana-5933	437	47	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	437	48	=	=	X
cana-5933	437	49	{	{	PUNCT
cana-5933	437	50	x	x	NOUN
cana-5933	437	51	,	,	PUNCT
cana-5933	437	52	πa(x	πa(x	NOUN
cana-5933	437	53	):	):	PUNCT
cana-5933	437	54	xx	xx	PRON
cana-5933	437	55	}	}	PUNCT
cana-5933	437	56	=	=	SYM
cana-5933	437	57	{	{	PUNCT
cana-5933	437	58	x	x	NOUN
cana-5933	437	59	,	,	PUNCT
cana-5933	437	60	πa(x	πa(x	NOUN
cana-5933	437	61	)	)	PUNCT
cana-5933	437	62	,	,	PUNCT
cana-5933	437	63	1	1	NUM
cana-5933	437	64	−	−	PROPN
cana-5933	437	65	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	437	66	):	):	PUNCT
cana-5933	437	67	xx	xx	NUM
cana-5933	437	68	}	}	PUNCT
cana-5933	437	69	and	and	CCONJ
cana-5933	437	70	𝐵𝐹	𝐵𝐹	NUM
cana-5933	437	71	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	437	72	=	=	SYM
cana-5933	437	73	{	{	PUNCT
cana-5933	437	74	y	y	PROPN
cana-5933	437	75	,	,	PUNCT
cana-5933	437	76	𝜃b(y	𝜃b(y	NUM
cana-5933	437	77	):	):	PUNCT
cana-5933	437	78	yy	yy	NOUN
cana-5933	437	79	}	}	PUNCT
cana-5933	437	80	=	=	SYM
cana-5933	437	81	{	{	PUNCT
cana-5933	437	82	y	y	PROPN
cana-5933	437	83	,	,	PUNCT
cana-5933	437	84	𝜃b(y	𝜃b(y	NUM
cana-5933	437	85	)	)	PUNCT
cana-5933	437	86	,	,	PUNCT
cana-5933	438	1	1	1	NUM
cana-5933	438	2	−	−	NOUN
cana-5933	438	3	𝜃𝐵(y	𝜃𝐵(y	NUM
cana-5933	438	4	):	):	PUNCT
cana-5933	438	5	yy	yy	NOUN
cana-5933	438	6	}	}	PUNCT
cana-5933	438	7	𝐴𝐸	𝐴𝐸	PUNCT
cana-5933	438	8	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	438	9	=	=	PUNCT
cana-5933	438	10	(	(	PUNCT
cana-5933	438	11	(	(	PUNCT
cana-5933	438	12	𝜋11	𝜋11	NOUN
cana-5933	438	13	,	,	PUNCT
cana-5933	438	14	1	1	NUM
cana-5933	438	15	−	−	NOUN
cana-5933	438	16	𝜋11	𝜋11	NOUN
cana-5933	438	17	)	)	PUNCT
cana-5933	438	18	(	(	PUNCT
cana-5933	438	19	𝜋12	𝜋12	NOUN
cana-5933	438	20	,	,	PUNCT
cana-5933	438	21	1	1	NUM
cana-5933	438	22	−	−	NOUN
cana-5933	438	23	𝜋12	𝜋12	NOUN
cana-5933	438	24	)	)	PUNCT
cana-5933	438	25	(	(	PUNCT
cana-5933	438	26	𝜋13	𝜋13	ADJ
cana-5933	438	27	,	,	PUNCT
cana-5933	438	28	1	1	NUM
cana-5933	438	29	−	−	NOUN
cana-5933	438	30	𝜋13	𝜋13	NOUN
cana-5933	438	31	)	)	PUNCT
cana-5933	438	32	(	(	PUNCT
cana-5933	438	33	𝜋21	𝜋21	VERB
cana-5933	438	34	,	,	PUNCT
cana-5933	438	35	1	1	NUM
cana-5933	438	36	−	−	NOUN
cana-5933	438	37	𝜋21	𝜋21	PROPN
cana-5933	438	38	)	)	PUNCT
cana-5933	438	39	(	(	PUNCT
cana-5933	438	40	𝜋22	𝜋22	NOUN
cana-5933	438	41	,	,	PUNCT
cana-5933	438	42	1	1	NUM
cana-5933	438	43	−	−	NOUN
cana-5933	438	44	𝜋22	𝜋22	NOUN
cana-5933	438	45	)	)	PUNCT
cana-5933	438	46	(	(	PUNCT
cana-5933	438	47	𝜋23	𝜋23	ADJ
cana-5933	438	48	,	,	PUNCT
cana-5933	438	49	1	1	NUM
cana-5933	438	50	−	−	NOUN
cana-5933	438	51	𝜋23	𝜋23	ADJ
cana-5933	438	52	)	)	PUNCT
cana-5933	438	53	(	(	PUNCT
cana-5933	438	54	𝜋31	𝜋31	PROPN
cana-5933	438	55	,	,	PUNCT
cana-5933	438	56	1	1	NUM
cana-5933	438	57	−	−	NOUN
cana-5933	438	58	𝜋31	𝜋31	NOUN
cana-5933	438	59	)	)	PUNCT
cana-5933	438	60	(	(	PUNCT
cana-5933	438	61	𝜋32	𝜋32	NOUN
cana-5933	438	62	,	,	PUNCT
cana-5933	438	63	1	1	NUM
cana-5933	438	64	−	−	NOUN
cana-5933	438	65	𝜋32	𝜋32	NOUN
cana-5933	438	66	)	)	PUNCT
cana-5933	438	67	(	(	PUNCT
cana-5933	438	68	𝜋33	𝜋33	NOUN
cana-5933	438	69	,	,	PUNCT
cana-5933	438	70	1	1	NUM
cana-5933	438	71	−	−	NOUN
cana-5933	438	72	𝜋33	𝜋33	NOUN
cana-5933	438	73	)	)	PUNCT
cana-5933	438	74	)	)	PUNCT
cana-5933	438	75	and	and	CCONJ
cana-5933	438	76	𝐵𝐹	𝐵𝐹	NUM
cana-5933	438	77	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	438	78	=	=	X
cana-5933	438	79	(	(	PUNCT
cana-5933	438	80	(	(	PUNCT
cana-5933	438	81	𝜃11	𝜃11	ADJ
cana-5933	438	82	,	,	PUNCT
cana-5933	438	83	1	1	NUM
cana-5933	438	84	−	−	NOUN
cana-5933	438	85	𝜃11	𝜃11	NOUN
cana-5933	438	86	)	)	PUNCT
cana-5933	438	87	(	(	PUNCT
cana-5933	438	88	𝜃12	𝜃12	ADJ
cana-5933	438	89	,	,	PUNCT
cana-5933	438	90	1	1	NUM
cana-5933	438	91	−	−	NOUN
cana-5933	438	92	𝜃12	𝜃12	NUM
cana-5933	438	93	)	)	PUNCT
cana-5933	438	94	(	(	PUNCT
cana-5933	438	95	𝜃13	𝜃13	PROPN
cana-5933	438	96	,	,	PUNCT
cana-5933	438	97	1	1	NUM
cana-5933	438	98	−	−	NOUN
cana-5933	438	99	𝜃13	𝜃13	NOUN
cana-5933	438	100	)	)	PUNCT
cana-5933	438	101	(	(	PUNCT
cana-5933	438	102	𝜃21	𝜃21	NOUN
cana-5933	438	103	,	,	PUNCT
cana-5933	438	104	1	1	NUM
cana-5933	438	105	−	−	NOUN
cana-5933	438	106	𝜃21	𝜃21	NOUN
cana-5933	438	107	)	)	PUNCT
cana-5933	438	108	(	(	PUNCT
cana-5933	438	109	𝜃22	𝜃22	ADV
cana-5933	438	110	,	,	PUNCT
cana-5933	438	111	1	1	NUM
cana-5933	438	112	−	−	PROPN
cana-5933	438	113	𝜃22	𝜃22	NOUN
cana-5933	438	114	)	)	PUNCT
cana-5933	438	115	(	(	PUNCT
cana-5933	438	116	𝜃23	𝜃23	PROPN
cana-5933	438	117	,	,	PUNCT
cana-5933	438	118	1	1	NUM
cana-5933	438	119	−	−	PROPN
cana-5933	438	120	𝜃23	𝜃23	NOUN
cana-5933	438	121	)	)	PUNCT
cana-5933	438	122	(	(	PUNCT
cana-5933	438	123	𝜃31	𝜃31	PROPN
cana-5933	438	124	,	,	PUNCT
cana-5933	438	125	1	1	NUM
cana-5933	438	126	−	−	NOUN
cana-5933	438	127	𝜃31	𝜃31	NUM
cana-5933	438	128	)	)	PUNCT
cana-5933	438	129	(	(	PUNCT
cana-5933	438	130	𝜃32	𝜃32	PROPN
cana-5933	438	131	,	,	PUNCT
cana-5933	438	132	1	1	NUM
cana-5933	438	133	−	−	NOUN
cana-5933	438	134	𝜃32	𝜃32	PROPN
cana-5933	438	135	)	)	PUNCT
cana-5933	438	136	(	(	PUNCT
cana-5933	438	137	𝜃33	𝜃33	NOUN
cana-5933	438	138	,	,	PUNCT
cana-5933	438	139	1	1	NUM
cana-5933	438	140	−	−	NOUN
cana-5933	438	141	𝜃33	𝜃33	NOUN
cana-5933	438	142	)	)	PUNCT
cana-5933	438	143	)	)	PUNCT
cana-5933	439	1	then	then	ADV
cana-5933	439	2	applying	apply	VERB
cana-5933	439	3	the	the	DET
cana-5933	439	4	formula	formula	NOUN
cana-5933	439	5	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	439	6	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	439	7	∗	∗	NOUN
cana-5933	439	8	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	439	9	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	439	10	=	=	X
cana-5933	439	11	{	{	PUNCT
cana-5933	439	12	〈	〈	PROPN
cana-5933	439	13	x	x	PROPN
cana-5933	439	14	,	,	PUNCT
cana-5933	439	15	y	y	PROPN
cana-5933	439	16	〉	〉	NOUN
cana-5933	439	17	,	,	PUNCT
cana-5933	439	18	𝜇𝐴̅̅	𝜇𝐴̅̅	PROPN
cana-5933	439	19	̅̅	̅̅	PROPN
cana-5933	439	20	(	(	PUNCT
cana-5933	439	21	x)+	x)+	NUM
cana-5933	439	22	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	439	23	̅̅	̅̅	NOUN
cana-5933	439	24	(	(	PUNCT
cana-5933	439	25	y	y	NOUN
cana-5933	439	26	)	)	PUNCT
cana-5933	439	27	2(𝜇𝐴̅̅	2(𝜇𝐴̅̅	NUM
cana-5933	439	28	̅̅	̅̅	NOUN
cana-5933	439	29	(	(	PUNCT
cana-5933	439	30	x	x	X
cana-5933	439	31	)	)	PUNCT
cana-5933	439	32	∙	∙	PROPN
cana-5933	439	33	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	439	34	̅̅	̅̅	NOUN
cana-5933	439	35	(	(	PUNCT
cana-5933	439	36	y)+	y)+	NOUN
cana-5933	439	37	1	1	NUM
cana-5933	439	38	)	)	PUNCT
cana-5933	439	39	,	,	PUNCT
cana-5933	439	40	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	439	41	̅̅	̅̅	PROPN
cana-5933	439	42	̅̅	̅̅	PROPN
cana-5933	439	43	(	(	PUNCT
cana-5933	439	44	x)+	x)+	PROPN
cana-5933	439	45	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	439	46	̅̅	̅̅	PROPN
cana-5933	439	47	̅̅	̅̅	PROPN
cana-5933	439	48	(	(	PUNCT
cana-5933	439	49	y	y	PROPN
cana-5933	439	50	)	)	PUNCT
cana-5933	439	51	2(𝜗𝐴	2(𝜗𝐴	NUM
cana-5933	439	52	̅̅	̅̅	PROPN
cana-5933	439	53	̅̅	̅̅	PROPN
cana-5933	439	54	(	(	PUNCT
cana-5933	439	55	x	x	NOUN
cana-5933	439	56	)	)	PUNCT
cana-5933	439	57	∙𝜗𝐴	∙𝜗𝐴	ADJ
cana-5933	439	58	̅̅	̅̅	NOUN
cana-5933	439	59	̅̅	̅̅	PROPN
cana-5933	439	60	(	(	PUNCT
cana-5933	439	61	y)+1	y)+1	NUM
cana-5933	439	62	)	)	PUNCT
cana-5933	439	63	:	:	PUNCT
cana-5933	439	64	xe	xe	PROPN
cana-5933	439	65	,	,	PUNCT
cana-5933	439	66	y𝐹	y𝐹	PROPN
cana-5933	439	67	}	}	PUNCT
cana-5933	439	68	,	,	PUNCT
cana-5933	439	69	we	we	PRON
cana-5933	439	70	have	have	VERB
cana-5933	439	71	,	,	PUNCT
cana-5933	439	72			PROPN
cana-5933	439	73	�	�	PROPN
cana-5933	439	74	̅	̅	NOUN
cana-5933	439	75	�	�	NOUN
cana-5933	439	76	𝐸	𝐸	PROPN
cana-5933	439	77	∗	∗	NOUN
cana-5933	439	78			PROPN
cana-5933	439	79	�	�	PROPN
cana-5933	439	80	̅	̅	NOUN
cana-5933	439	81	�	�	NOUN
cana-5933	439	82	𝐹	𝐹	NOUN
cana-5933	439	83	=	=	PUNCT
cana-5933	439	84	(	(	PUNCT
cana-5933	439	85	(	(	PUNCT
cana-5933	439	86	𝜋11	𝜋11	NOUN
cana-5933	439	87	,	,	PUNCT
cana-5933	439	88	1	1	NUM
cana-5933	439	89	−	−	NOUN
cana-5933	439	90	𝜋11	𝜋11	NOUN
cana-5933	439	91	)	)	PUNCT
cana-5933	439	92	(	(	PUNCT
cana-5933	439	93	𝜋12	𝜋12	NOUN
cana-5933	439	94	,	,	PUNCT
cana-5933	439	95	1	1	NUM
cana-5933	439	96	−	−	NOUN
cana-5933	439	97	𝜋12	𝜋12	NOUN
cana-5933	439	98	)	)	PUNCT
cana-5933	439	99	(	(	PUNCT
cana-5933	439	100	𝜋13	𝜋13	ADJ
cana-5933	439	101	,	,	PUNCT
cana-5933	439	102	1	1	NUM
cana-5933	439	103	−	−	NOUN
cana-5933	439	104	𝜋13	𝜋13	NOUN
cana-5933	439	105	)	)	PUNCT
cana-5933	439	106	(	(	PUNCT
cana-5933	439	107	𝜋21	𝜋21	VERB
cana-5933	439	108	,	,	PUNCT
cana-5933	439	109	1	1	NUM
cana-5933	439	110	−	−	NOUN
cana-5933	439	111	𝜋21	𝜋21	PROPN
cana-5933	439	112	)	)	PUNCT
cana-5933	439	113	(	(	PUNCT
cana-5933	439	114	𝜋22	𝜋22	NOUN
cana-5933	439	115	,	,	PUNCT
cana-5933	439	116	1	1	NUM
cana-5933	439	117	−	−	NOUN
cana-5933	439	118	𝜋22	𝜋22	NOUN
cana-5933	439	119	)	)	PUNCT
cana-5933	439	120	(	(	PUNCT
cana-5933	439	121	𝜋23	𝜋23	ADJ
cana-5933	439	122	,	,	PUNCT
cana-5933	439	123	1	1	NUM
cana-5933	439	124	−	−	NOUN
cana-5933	439	125	𝜋23	𝜋23	ADJ
cana-5933	439	126	)	)	PUNCT
cana-5933	439	127	(	(	PUNCT
cana-5933	439	128	𝜋31	𝜋31	PROPN
cana-5933	439	129	,	,	PUNCT
cana-5933	439	130	1	1	NUM
cana-5933	439	131	−	−	NOUN
cana-5933	439	132	𝜋31	𝜋31	NOUN
cana-5933	439	133	)	)	PUNCT
cana-5933	439	134	(	(	PUNCT
cana-5933	439	135	𝜋32	𝜋32	NOUN
cana-5933	439	136	,	,	PUNCT
cana-5933	439	137	1	1	NUM
cana-5933	439	138	−	−	NOUN
cana-5933	439	139	𝜋32	𝜋32	NOUN
cana-5933	439	140	)	)	PUNCT
cana-5933	439	141	(	(	PUNCT
cana-5933	439	142	𝜋33	𝜋33	NOUN
cana-5933	439	143	,	,	PUNCT
cana-5933	439	144	1	1	NUM
cana-5933	439	145	−	−	NOUN
cana-5933	439	146	𝜋33	𝜋33	NOUN
cana-5933	439	147	)	)	PUNCT
cana-5933	439	148	)	)	PUNCT
cana-5933	440	1	∗	∗	NOUN
cana-5933	440	2	(	(	PUNCT
cana-5933	440	3	(	(	PUNCT
cana-5933	440	4	𝜃11	𝜃11	ADJ
cana-5933	440	5	,	,	PUNCT
cana-5933	440	6	1	1	NUM
cana-5933	440	7	−	−	NOUN
cana-5933	440	8	𝜃11	𝜃11	NOUN
cana-5933	440	9	)	)	PUNCT
cana-5933	440	10	(	(	PUNCT
cana-5933	440	11	𝜃12	𝜃12	ADJ
cana-5933	440	12	,	,	PUNCT
cana-5933	440	13	1	1	NUM
cana-5933	440	14	−	−	NOUN
cana-5933	440	15	𝜃12	𝜃12	NUM
cana-5933	440	16	)	)	PUNCT
cana-5933	440	17	(	(	PUNCT
cana-5933	440	18	𝜃13	𝜃13	PROPN
cana-5933	440	19	,	,	PUNCT
cana-5933	440	20	1	1	NUM
cana-5933	440	21	−	−	NOUN
cana-5933	440	22	𝜃13	𝜃13	NOUN
cana-5933	440	23	)	)	PUNCT
cana-5933	440	24	(	(	PUNCT
cana-5933	440	25	𝜃21	𝜃21	NOUN
cana-5933	440	26	,	,	PUNCT
cana-5933	440	27	1	1	NUM
cana-5933	440	28	−	−	NOUN
cana-5933	440	29	𝜃21	𝜃21	NOUN
cana-5933	440	30	)	)	PUNCT
cana-5933	440	31	(	(	PUNCT
cana-5933	440	32	𝜃22	𝜃22	ADV
cana-5933	440	33	,	,	PUNCT
cana-5933	440	34	1	1	NUM
cana-5933	440	35	−	−	PROPN
cana-5933	440	36	𝜃22	𝜃22	NOUN
cana-5933	440	37	)	)	PUNCT
cana-5933	440	38	(	(	PUNCT
cana-5933	440	39	𝜃23	𝜃23	PROPN
cana-5933	440	40	,	,	PUNCT
cana-5933	440	41	1	1	NUM
cana-5933	440	42	−	−	PROPN
cana-5933	440	43	𝜃23	𝜃23	NOUN
cana-5933	440	44	)	)	PUNCT
cana-5933	440	45	(	(	PUNCT
cana-5933	440	46	𝜃31	𝜃31	PROPN
cana-5933	440	47	,	,	PUNCT
cana-5933	440	48	1	1	NUM
cana-5933	440	49	−	−	NOUN
cana-5933	440	50	𝜃31	𝜃31	NUM
cana-5933	440	51	)	)	PUNCT
cana-5933	440	52	(	(	PUNCT
cana-5933	440	53	𝜃32	𝜃32	PROPN
cana-5933	440	54	,	,	PUNCT
cana-5933	440	55	1	1	NUM
cana-5933	440	56	−	−	NOUN
cana-5933	440	57	𝜃32	𝜃32	PROPN
cana-5933	440	58	)	)	PUNCT
cana-5933	440	59	(	(	PUNCT
cana-5933	440	60	𝜃33	𝜃33	NOUN
cana-5933	440	61	,	,	PUNCT
cana-5933	440	62	1	1	NUM
cana-5933	440	63	−	−	NOUN
cana-5933	440	64	𝜃33	𝜃33	NOUN
cana-5933	440	65	)	)	PUNCT
cana-5933	440	66	)	)	PUNCT
cana-5933	440	67	where	where	SCONJ
cana-5933	440	68	,	,	PUNCT
cana-5933	440	69	𝑋11	𝑋11	PROPN
cana-5933	440	70	=	=	PUNCT
cana-5933	440	71	(	(	PUNCT
cana-5933	440	72	(	(	PUNCT
cana-5933	440	73	𝜋11	𝜋11	NOUN
cana-5933	440	74	,	,	PUNCT
cana-5933	440	75	1	1	NUM
cana-5933	440	76	−	−	NOUN
cana-5933	440	77	𝜋11	𝜋11	NOUN
cana-5933	440	78	)	)	PUNCT
cana-5933	440	79	∗	∗	NOUN
cana-5933	440	80	(	(	PUNCT
cana-5933	440	81	𝜃11	𝜃11	ADJ
cana-5933	440	82	,	,	PUNCT
cana-5933	440	83	1	1	NUM
cana-5933	440	84	−	−	NOUN
cana-5933	440	85	𝜃11	𝜃11	NOUN
cana-5933	440	86	)	)	PUNCT
cana-5933	440	87	)	)	PUNCT
cana-5933	440	88	,	,	PUNCT
cana-5933	440	89	𝑋12=	𝑋12=	PROPN
cana-5933	440	90	(	(	PUNCT
cana-5933	440	91	(	(	PUNCT
cana-5933	440	92	𝜋12	𝜋12	NOUN
cana-5933	440	93	,	,	PUNCT
cana-5933	440	94	1	1	NUM
cana-5933	440	95	−	−	NOUN
cana-5933	440	96	𝜋12	𝜋12	NOUN
cana-5933	440	97	)	)	PUNCT
cana-5933	440	98	∗	∗	NOUN
cana-5933	440	99	(	(	PUNCT
cana-5933	440	100	𝜃21	𝜃21	NOUN
cana-5933	440	101	,	,	PUNCT
cana-5933	440	102	1	1	NUM
cana-5933	440	103	−	−	NOUN
cana-5933	440	104	𝜃21	𝜃21	NOUN
cana-5933	440	105	)	)	PUNCT
cana-5933	440	106	)	)	PUNCT
cana-5933	440	107	𝑋13=	𝑋13=	PROPN
cana-5933	440	108	(	(	PUNCT
cana-5933	440	109	(	(	PUNCT
cana-5933	440	110	𝜋13	𝜋13	ADJ
cana-5933	440	111	,	,	PUNCT
cana-5933	440	112	1	1	NUM
cana-5933	440	113	−	−	NOUN
cana-5933	440	114	𝜋13	𝜋13	NOUN
cana-5933	440	115	)	)	PUNCT
cana-5933	440	116	∗	∗	NOUN
cana-5933	440	117	(	(	PUNCT
cana-5933	440	118	𝜃31	𝜃31	PROPN
cana-5933	440	119	,	,	PUNCT
cana-5933	440	120	1	1	NUM
cana-5933	440	121	−	−	NOUN
cana-5933	440	122	𝜃31	𝜃31	NUM
cana-5933	440	123	)	)	PUNCT
cana-5933	440	124	)	)	PUNCT
cana-5933	440	125	,	,	PUNCT
cana-5933	440	126	𝑋21=	𝑋21=	X
cana-5933	440	127	(	(	PUNCT
cana-5933	440	128	(	(	PUNCT
cana-5933	440	129	𝜋21	𝜋21	VERB
cana-5933	440	130	,	,	PUNCT
cana-5933	440	131	1	1	NUM
cana-5933	440	132	−	−	NOUN
cana-5933	440	133	𝜋21	𝜋21	PROPN
cana-5933	440	134	)	)	PUNCT
cana-5933	440	135	∗	∗	NOUN
cana-5933	440	136	(	(	PUNCT
cana-5933	440	137	𝜃12	𝜃12	ADJ
cana-5933	440	138	,	,	PUNCT
cana-5933	440	139	1	1	NUM
cana-5933	440	140	−	−	NOUN
cana-5933	440	141	𝜃12	𝜃12	NUM
cana-5933	440	142	)	)	PUNCT
cana-5933	440	143	)	)	PUNCT
cana-5933	440	144	𝑋22=	𝑋22=	PROPN
cana-5933	440	145	(	(	PUNCT
cana-5933	440	146	(	(	PUNCT
cana-5933	440	147	𝜋22	𝜋22	NOUN
cana-5933	440	148	,	,	PUNCT
cana-5933	440	149	1	1	NUM
cana-5933	440	150	−	−	PROPN
cana-5933	440	151	𝜋22	𝜋22	NOUN
cana-5933	440	152	)	)	PUNCT
cana-5933	440	153	∗	∗	NOUN
cana-5933	440	154	(	(	PUNCT
cana-5933	440	155	𝜃22	𝜃22	ADJ
cana-5933	440	156	,	,	PUNCT
cana-5933	440	157	1	1	NUM
cana-5933	440	158	−	−	NOUN
cana-5933	440	159	𝜃22	𝜃22	NOUN
cana-5933	440	160	)	)	PUNCT
cana-5933	440	161	)	)	PUNCT
cana-5933	440	162	,	,	PUNCT
cana-5933	440	163	𝑋23=	𝑋23=	X
cana-5933	440	164	(	(	PUNCT
cana-5933	440	165	(	(	PUNCT
cana-5933	440	166	𝜋23	𝜋23	ADJ
cana-5933	440	167	,	,	PUNCT
cana-5933	440	168	1	1	NUM
cana-5933	440	169	−	−	NOUN
cana-5933	440	170	𝜋23	𝜋23	ADJ
cana-5933	440	171	)	)	PUNCT
cana-5933	440	172	∗	∗	NOUN
cana-5933	440	173	(	(	PUNCT
cana-5933	440	174	𝜃32	𝜃32	PROPN
cana-5933	440	175	,	,	PUNCT
cana-5933	440	176	1	1	NUM
cana-5933	440	177	−	−	NOUN
cana-5933	440	178	𝜃32	𝜃32	NOUN
cana-5933	440	179	)	)	PUNCT
cana-5933	440	180	)	)	PUNCT
cana-5933	440	181	𝑋31=	𝑋31=	ADP
cana-5933	440	182	(	(	PUNCT
cana-5933	440	183	(	(	PUNCT
cana-5933	440	184	𝜋31	𝜋31	PROPN
cana-5933	440	185	,	,	PUNCT
cana-5933	440	186	1	1	NUM
cana-5933	440	187	−	−	NOUN
cana-5933	440	188	𝜋31	𝜋31	NOUN
cana-5933	440	189	)	)	PUNCT
cana-5933	440	190	∗	∗	NOUN
cana-5933	440	191	(	(	PUNCT
cana-5933	440	192	𝜃13	𝜃13	PROPN
cana-5933	440	193	,	,	PUNCT
cana-5933	440	194	1	1	NUM
cana-5933	440	195	−	−	NOUN
cana-5933	440	196	𝜃13	𝜃13	NOUN
cana-5933	440	197	)	)	PUNCT
cana-5933	440	198	)	)	PUNCT
cana-5933	440	199	,	,	PUNCT
cana-5933	440	200	𝑋32=	𝑋32=	X
cana-5933	440	201	(	(	PUNCT
cana-5933	440	202	(	(	PUNCT
cana-5933	440	203	𝜋32	𝜋32	NOUN
cana-5933	440	204	,	,	PUNCT
cana-5933	440	205	1	1	NUM
cana-5933	440	206	−	−	NOUN
cana-5933	440	207	𝜋32	𝜋32	NOUN
cana-5933	440	208	)	)	PUNCT
cana-5933	440	209	∗	∗	NOUN
cana-5933	440	210	(	(	PUNCT
cana-5933	440	211	𝜃23	𝜃23	PROPN
cana-5933	440	212	,	,	PUNCT
cana-5933	440	213	1	1	NUM
cana-5933	440	214	−	−	PROPN
cana-5933	440	215	𝜃23	𝜃23	NOUN
cana-5933	440	216	)	)	PUNCT
cana-5933	440	217	)	)	PUNCT
cana-5933	440	218	communications	communication	NOUN
cana-5933	440	219	on	on	ADP
cana-5933	440	220	applied	apply	VERB
cana-5933	440	221	nonlinear	nonlinear	ADJ
cana-5933	440	222	analysis	analysis	NOUN
cana-5933	440	223	issn	issn	NOUN
cana-5933	440	224	:	:	PUNCT
cana-5933	440	225	1074	1074	NUM
cana-5933	440	226	-	-	PUNCT
cana-5933	440	227	133x	133x	NUM
cana-5933	440	228	vol	vol	VERB
cana-5933	440	229	32	32	NUM
cana-5933	440	230	no	no	NOUN
cana-5933	440	231	.	.	PUNCT
cana-5933	441	1	10s	10	NOUN
cana-5933	441	2	(	(	PUNCT
cana-5933	441	3	2025	2025	NUM
cana-5933	441	4	)	)	PUNCT
cana-5933	441	5	3155	3155	NUM
cana-5933	441	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	441	7	𝑋33=	𝑋33=	X
cana-5933	441	8	(	(	PUNCT
cana-5933	441	9	(	(	PUNCT
cana-5933	441	10	𝜋33	𝜋33	NOUN
cana-5933	441	11	,	,	PUNCT
cana-5933	441	12	1	1	NUM
cana-5933	441	13	−	−	NOUN
cana-5933	441	14	𝜋33	𝜋33	NOUN
cana-5933	441	15	)	)	PUNCT
cana-5933	441	16	∗	∗	NOUN
cana-5933	441	17	(	(	PUNCT
cana-5933	441	18	𝜃33	𝜃33	NOUN
cana-5933	441	19	,	,	PUNCT
cana-5933	441	20	1	1	NUM
cana-5933	441	21	−	−	NOUN
cana-5933	441	22	𝜃33	𝜃33	NOUN
cana-5933	441	23	)	)	PUNCT
cana-5933	441	24	)	)	PUNCT
cana-5933	441	25	then	then	ADV
cana-5933	441	26	applying	apply	VERB
cana-5933	441	27	the	the	DET
cana-5933	441	28	formula	formula	NOUN
cana-5933	441	29	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	441	30	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	441	31	∗	∗	NOUN
cana-5933	441	32	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	441	33	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	441	34	=	=	X
cana-5933	441	35	{	{	PUNCT
cana-5933	441	36	〈	〈	PROPN
cana-5933	441	37	x	x	PROPN
cana-5933	441	38	,	,	PUNCT
cana-5933	441	39	y	y	PROPN
cana-5933	441	40	〉	〉	NOUN
cana-5933	441	41	,	,	PUNCT
cana-5933	441	42	𝜇𝐴̅̅	𝜇𝐴̅̅	PROPN
cana-5933	441	43	̅̅	̅̅	PROPN
cana-5933	441	44	(	(	PUNCT
cana-5933	441	45	x)+	x)+	NUM
cana-5933	441	46	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	441	47	̅̅	̅̅	NOUN
cana-5933	441	48	(	(	PUNCT
cana-5933	441	49	y	y	NOUN
cana-5933	441	50	)	)	PUNCT
cana-5933	441	51	2(𝜇𝐴̅̅	2(𝜇𝐴̅̅	NUM
cana-5933	441	52	̅̅	̅̅	NOUN
cana-5933	441	53	(	(	PUNCT
cana-5933	441	54	x	x	X
cana-5933	441	55	)	)	PUNCT
cana-5933	441	56	∙	∙	PROPN
cana-5933	441	57	𝜇𝐵̅̅	𝜇𝐵̅̅	PROPN
cana-5933	441	58	̅̅	̅̅	NOUN
cana-5933	441	59	(	(	PUNCT
cana-5933	441	60	y)+	y)+	NOUN
cana-5933	441	61	1	1	NUM
cana-5933	441	62	)	)	PUNCT
cana-5933	441	63	,	,	PUNCT
cana-5933	441	64	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	441	65	̅̅	̅̅	PROPN
cana-5933	441	66	̅̅	̅̅	PROPN
cana-5933	441	67	(	(	PUNCT
cana-5933	441	68	x)+	x)+	PROPN
cana-5933	441	69	𝜗𝐴	𝜗𝐴	PROPN
cana-5933	441	70	̅̅	̅̅	PROPN
cana-5933	441	71	̅̅	̅̅	PROPN
cana-5933	441	72	(	(	PUNCT
cana-5933	441	73	y	y	PROPN
cana-5933	441	74	)	)	PUNCT
cana-5933	441	75	2(𝜗𝐴	2(𝜗𝐴	NUM
cana-5933	441	76	̅̅	̅̅	PROPN
cana-5933	441	77	̅̅	̅̅	PROPN
cana-5933	441	78	(	(	PUNCT
cana-5933	441	79	x	x	NOUN
cana-5933	441	80	)	)	PUNCT
cana-5933	441	81	∙𝜗𝐴	∙𝜗𝐴	ADJ
cana-5933	441	82	̅̅	̅̅	NOUN
cana-5933	441	83	̅̅	̅̅	PROPN
cana-5933	441	84	(	(	PUNCT
cana-5933	441	85	y)+1	y)+1	NUM
cana-5933	441	86	)	)	PUNCT
cana-5933	441	87	:	:	PUNCT
cana-5933	442	1	xe	xe	PROPN
cana-5933	442	2	,	,	PUNCT
cana-5933	442	3	y𝐹	y𝐹	PROPN
cana-5933	442	4	}	}	PUNCT
cana-5933	442	5	𝑋11=	𝑋11=	NOUN
cana-5933	442	6	{	{	PUNCT
cana-5933	442	7	𝜋11(x)+	𝜋11(x)+	NOUN
cana-5933	442	8	𝜃11(y	𝜃11(y	NUM
cana-5933	442	9	)	)	PUNCT
cana-5933	442	10	2(𝜋11(x	2(𝜋11(x	NUM
cana-5933	442	11	)	)	PUNCT
cana-5933	442	12	.	.	PUNCT
cana-5933	443	1	𝜃11(y)+1	𝜃11(y)+1	CCONJ
cana-5933	443	2	)	)	PUNCT
cana-5933	443	3	,	,	PUNCT
cana-5933	443	4	1−	1−	NUM
cana-5933	443	5	𝜋11(x)+	𝜋11(x)+	NOUN
cana-5933	443	6	1−𝜃11(y	1−𝜃11(y	NUM
cana-5933	443	7	)	)	PUNCT
cana-5933	443	8	2(1−	2(1−	NUM
cana-5933	443	9	𝜋11(x	𝜋11(x	NOUN
cana-5933	443	10	)	)	PUNCT
cana-5933	443	11	.	.	PUNCT
cana-5933	444	1	1−𝜃11(y)+1	1−𝜃11(y)+1	NUM
cana-5933	444	2	)	)	PUNCT
cana-5933	444	3	}	}	PUNCT
cana-5933	444	4	,	,	PUNCT
cana-5933	444	5	𝑋12=	𝑋12=	PROPN
cana-5933	444	6	{	{	PUNCT
cana-5933	444	7	𝜋12(x)+	𝜋12(x)+	PROPN
cana-5933	444	8	𝜃21(y	𝜃21(y	PROPN
cana-5933	444	9	)	)	PUNCT
cana-5933	444	10	2(𝜋12(x	2(𝜋12(x	NUM
cana-5933	444	11	)	)	PUNCT
cana-5933	444	12	.	.	PUNCT
cana-5933	445	1	𝜃21(y)+1	𝜃21(y)+1	X
cana-5933	445	2	)	)	PUNCT
cana-5933	445	3	,	,	PUNCT
cana-5933	445	4	1−	1−	NUM
cana-5933	445	5	𝜋12(x)+	𝜋12(x)+	NOUN
cana-5933	445	6	1−𝜃21(y	1−𝜃21(y	NUM
cana-5933	445	7	)	)	PUNCT
cana-5933	445	8	2(1−	2(1−	NUM
cana-5933	445	9	𝜋12(x	𝜋12(x	PROPN
cana-5933	445	10	)	)	PUNCT
cana-5933	445	11	.	.	PUNCT
cana-5933	446	1	1−𝜃21(y)+1	1−𝜃21(y)+1	X
cana-5933	446	2	)	)	PUNCT
cana-5933	446	3	}	}	PUNCT
cana-5933	446	4	𝑋13=	𝑋13=	PROPN
cana-5933	446	5	{	{	PUNCT
cana-5933	446	6	𝜋13(x)+	𝜋13(x)+	X
cana-5933	446	7	𝜃31(y	𝜃31(y	ADJ
cana-5933	446	8	)	)	PUNCT
cana-5933	446	9	2(𝜋13(x	2(𝜋13(x	NUM
cana-5933	446	10	)	)	PUNCT
cana-5933	446	11	.	.	PUNCT
cana-5933	447	1	𝜃31(y)+1	𝜃31(y)+1	CCONJ
cana-5933	447	2	)	)	PUNCT
cana-5933	447	3	,	,	PUNCT
cana-5933	447	4	1−	1−	NUM
cana-5933	447	5	𝜋13(x)+	𝜋13(x)+	NOUN
cana-5933	447	6	1−𝜃31(y	1−𝜃31(y	NUM
cana-5933	447	7	)	)	PUNCT
cana-5933	447	8	2(1−	2(1−	NUM
cana-5933	447	9	𝜋13(x	𝜋13(x	NOUN
cana-5933	447	10	)	)	PUNCT
cana-5933	447	11	.	.	PUNCT
cana-5933	448	1	1−𝜃31(y)+1	1−𝜃31(y)+1	NUM
cana-5933	448	2	)	)	PUNCT
cana-5933	448	3	}	}	PUNCT
cana-5933	448	4	,	,	PUNCT
cana-5933	448	5	𝑋21=	𝑋21=	X
cana-5933	448	6	{	{	PUNCT
cana-5933	448	7	𝜋21(x)+	𝜋21(x)+	X
cana-5933	448	8	𝜃12(y	𝜃12(y	ADJ
cana-5933	448	9	)	)	PUNCT
cana-5933	448	10	2(𝜋21(x	2(𝜋21(x	NUM
cana-5933	448	11	)	)	PUNCT
cana-5933	448	12	.	.	PUNCT
cana-5933	449	1	𝜃12(y)+1	𝜃12(y)+1	CCONJ
cana-5933	449	2	)	)	PUNCT
cana-5933	449	3	,	,	PUNCT
cana-5933	449	4	1−	1−	NUM
cana-5933	449	5	𝜋21(x)+	𝜋21(x)+	VERB
cana-5933	449	6	1−𝜃12(y	1−𝜃12(y	NUM
cana-5933	449	7	)	)	PUNCT
cana-5933	449	8	2(1−	2(1−	NUM
cana-5933	449	9	𝜋21(x	𝜋21(x	NUM
cana-5933	449	10	)	)	PUNCT
cana-5933	449	11	.	.	PUNCT
cana-5933	450	1	1−𝜃12(y)+1	1−𝜃12(y)+1	NUM
cana-5933	450	2	)	)	PUNCT
cana-5933	450	3	}	}	PUNCT
cana-5933	450	4	𝑋22=	𝑋22=	PROPN
cana-5933	450	5	{	{	PUNCT
cana-5933	450	6	𝜋22(x)+	𝜋22(x)+	NOUN
cana-5933	450	7	𝜃22(y	𝜃22(y	ADV
cana-5933	450	8	)	)	PUNCT
cana-5933	450	9	2(𝜋22(x	2(𝜋22(x	NUM
cana-5933	450	10	)	)	PUNCT
cana-5933	450	11	.	.	PUNCT
cana-5933	451	1	𝜃22(y)+1	𝜃22(y)+1	X
cana-5933	451	2	)	)	PUNCT
cana-5933	451	3	,	,	PUNCT
cana-5933	451	4	1−	1−	NUM
cana-5933	451	5	𝜋22(x)+	𝜋22(x)+	NOUN
cana-5933	451	6	1−𝜃22(y	1−𝜃22(y	NUM
cana-5933	451	7	)	)	PUNCT
cana-5933	451	8	2(1−	2(1−	NUM
cana-5933	451	9	𝜋22(x	𝜋22(x	NOUN
cana-5933	451	10	)	)	PUNCT
cana-5933	451	11	.	.	PUNCT
cana-5933	452	1	1−𝜃22(y)+1	1−𝜃22(y)+1	NUM
cana-5933	452	2	)	)	PUNCT
cana-5933	452	3	}	}	PUNCT
cana-5933	452	4	,	,	PUNCT
cana-5933	452	5	𝑋23=	𝑋23=	X
cana-5933	452	6	{	{	PUNCT
cana-5933	452	7	𝜋23(x)+	𝜋23(x)+	X
cana-5933	452	8	𝜃32(y	𝜃32(y	ADJ
cana-5933	452	9	)	)	PUNCT
cana-5933	452	10	2(𝜋23(x	2(𝜋23(x	NUM
cana-5933	452	11	)	)	PUNCT
cana-5933	452	12	.	.	PUNCT
cana-5933	453	1	𝜃32(y)+1	𝜃32(y)+1	CCONJ
cana-5933	453	2	)	)	PUNCT
cana-5933	453	3	,	,	PUNCT
cana-5933	453	4	1−	1−	NUM
cana-5933	453	5	𝜋23(x)+	𝜋23(x)+	ADP
cana-5933	453	6	1−𝜃32(y	1−𝜃32(y	NUM
cana-5933	453	7	)	)	PUNCT
cana-5933	453	8	2(1−	2(1−	NUM
cana-5933	453	9	𝜋23(x	𝜋23(x	PROPN
cana-5933	453	10	)	)	PUNCT
cana-5933	453	11	.	.	PUNCT
cana-5933	454	1	1−𝜃32(y)+1	1−𝜃32(y)+1	NUM
cana-5933	454	2	)	)	PUNCT
cana-5933	454	3	}	}	PUNCT
cana-5933	454	4	𝑋31=	𝑋31=	ADP
cana-5933	454	5	{	{	PUNCT
cana-5933	454	6	𝜋31(x)+	𝜋31(x)+	NOUN
cana-5933	454	7	𝜃13(y	𝜃13(y	NOUN
cana-5933	454	8	)	)	PUNCT
cana-5933	454	9	2(𝜋31(x	2(𝜋31(x	NUM
cana-5933	454	10	)	)	PUNCT
cana-5933	454	11	.	.	PUNCT
cana-5933	455	1	𝜃13(y)+1	𝜃13(y)+1	CCONJ
cana-5933	455	2	)	)	PUNCT
cana-5933	455	3	,	,	PUNCT
cana-5933	455	4	1−	1−	NUM
cana-5933	455	5	𝜋31(x)+	𝜋31(x)+	NOUN
cana-5933	455	6	1−𝜃13(y	1−𝜃13(y	NUM
cana-5933	455	7	)	)	PUNCT
cana-5933	455	8	2(1−	2(1−	NUM
cana-5933	455	9	𝜋31(x	𝜋31(x	NOUN
cana-5933	455	10	)	)	PUNCT
cana-5933	455	11	.	.	PUNCT
cana-5933	456	1	1−𝜃13(y)+1	1−𝜃13(y)+1	X
cana-5933	456	2	)	)	PUNCT
cana-5933	456	3	}	}	PUNCT
cana-5933	456	4	,	,	PUNCT
cana-5933	456	5	𝑋32=	𝑋32=	X
cana-5933	456	6	{	{	PUNCT
cana-5933	456	7	𝜋32(x)+	𝜋32(x)+	VERB
cana-5933	456	8	𝜃23(y	𝜃23(y	ADJ
cana-5933	456	9	)	)	PUNCT
cana-5933	456	10	2(𝜋32(x	2(𝜋32(x	NUM
cana-5933	456	11	)	)	PUNCT
cana-5933	456	12	.	.	PUNCT
cana-5933	457	1	𝜃23(y)+1	𝜃23(y)+1	X
cana-5933	457	2	)	)	PUNCT
cana-5933	457	3	,	,	PUNCT
cana-5933	457	4	1−	1−	NUM
cana-5933	457	5	𝜋32(x)+	𝜋32(x)+	NOUN
cana-5933	457	6	1−𝜃23(y	1−𝜃23(y	NUM
cana-5933	457	7	)	)	PUNCT
cana-5933	457	8	2(1−	2(1−	NUM
cana-5933	457	9	𝜋32(x	𝜋32(x	NOUN
cana-5933	457	10	)	)	PUNCT
cana-5933	457	11	.	.	PUNCT
cana-5933	458	1	1−𝜃23(y)+1	1−𝜃23(y)+1	NUM
cana-5933	458	2	)	)	PUNCT
cana-5933	458	3	}	}	PUNCT
cana-5933	458	4	𝑋33=	𝑋33=	NOUN
cana-5933	458	5	{	{	PUNCT
cana-5933	458	6	𝜋33(x)+	𝜋33(x)+	NOUN
cana-5933	458	7	𝜃33(y	𝜃33(y	NOUN
cana-5933	458	8	)	)	PUNCT
cana-5933	458	9	2(𝜋33(x	2(𝜋33(x	NUM
cana-5933	458	10	)	)	PUNCT
cana-5933	458	11	.	.	PUNCT
cana-5933	459	1	𝜃33(y)+1	𝜃33(y)+1	CCONJ
cana-5933	459	2	)	)	PUNCT
cana-5933	459	3	,	,	PUNCT
cana-5933	459	4	1−	1−	NUM
cana-5933	459	5	𝜋33(x)+	𝜋33(x)+	NOUN
cana-5933	459	6	1−𝜃33(y	1−𝜃33(y	NUM
cana-5933	459	7	)	)	PUNCT
cana-5933	459	8	2(1−	2(1−	NUM
cana-5933	459	9	𝜋33(x	𝜋33(x	NOUN
cana-5933	459	10	)	)	PUNCT
cana-5933	459	11	.	.	PUNCT
cana-5933	460	1	1−𝜃33(y)+1	1−𝜃33(y)+1	X
cana-5933	460	2	)	)	PUNCT
cana-5933	460	3	}	}	PUNCT
cana-5933	460	4	we	we	PRON
cana-5933	460	5	have	have	VERB
cana-5933	460	6	,	,	PUNCT
cana-5933	460	7	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	460	8	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	460	9	∗	∗	NOUN
cana-5933	460	10	𝐵𝐹	𝐵𝐹	NUM
cana-5933	460	11	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	460	12	=	=	X
cana-5933	461	1	(	(	PUNCT
cana-5933	461	2	𝑋11	𝑋11	PROPN
cana-5933	461	3	𝑋12	𝑋12	PROPN
cana-5933	461	4	𝑋13	𝑋13	PROPN
cana-5933	461	5	𝑋21	𝑋21	PROPN
cana-5933	461	6	𝑋22	𝑋22	VERB
cana-5933	461	7	𝑋23	𝑋23	PROPN
cana-5933	461	8	𝑋31	𝑋31	PROPN
cana-5933	461	9	𝑋32	𝑋32	PROPN
cana-5933	461	10	𝑋33	𝑋33	PROPN
cana-5933	461	11	)	)	PUNCT
cana-5933	461	12	is	be	AUX
cana-5933	461	13	also	also	ADV
cana-5933	461	14	intuitionistic	intuitionistic	ADJ
cana-5933	461	15	fuzzy	fuzzy	ADJ
cana-5933	461	16	matrix	matrix	NOUN
cana-5933	461	17	.	.	PUNCT
cana-5933	462	1	theorem	theorem	VERB
cana-5933	462	2	6.7.9	6.7.9	NOUN
cana-5933	462	3	:	:	PUNCT
cana-5933	462	4	if	if	SCONJ
cana-5933	462	5	e	e	PROPN
cana-5933	462	6	and	and	CCONJ
cana-5933	462	7	f	f	PROPN
cana-5933	462	8	be	be	AUX
cana-5933	462	9	two	two	NUM
cana-5933	462	10	universal	universal	ADJ
cana-5933	462	11	sets	set	NOUN
cana-5933	462	12	.	.	PUNCT
cana-5933	463	1	for	for	ADP
cana-5933	463	2	every	every	DET
cana-5933	463	3	necessity	necessity	NOUN
cana-5933	463	4	function	function	NOUN
cana-5933	463	5	of	of	ADP
cana-5933	463	6	intuitionistic	intuitionistic	ADJ
cana-5933	463	7	fuzzy	fuzzy	ADJ
cana-5933	463	8	matrix	matrix	NOUN
cana-5933	463	9	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	463	10	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	463	11	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-5933	463	12	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	463	13	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	463	14	are	be	AUX
cana-5933	463	15	intuitionistic	intuitionistic	ADJ
cana-5933	463	16	fuzzy	fuzzy	ADJ
cana-5933	463	17	matrix	matrix	NOUN
cana-5933	463	18	in	in	ADP
cana-5933	463	19	e	e	PROPN
cana-5933	463	20	and	and	CCONJ
cana-5933	463	21	f	f	PROPN
cana-5933	463	22	then	then	ADV
cana-5933	463	23			PROPN
cana-5933	463	24	�	�	PROPN
cana-5933	463	25	̅	̅	NOUN
cana-5933	463	26	�	�	NOUN
cana-5933	463	27	𝐸	𝐸	NOUN
cana-5933	463	28			PUNCT
cana-5933	463	29			PROPN
cana-5933	463	30	�	�	NOUN
cana-5933	463	31	̅	̅	NOUN
cana-5933	463	32	�	�	NOUN
cana-5933	463	33	𝐹	𝐹	PROPN
cana-5933	463	34	is	be	AUX
cana-5933	463	35	also	also	ADV
cana-5933	463	36	necessity	necessity	NOUN
cana-5933	463	37	function	function	NOUN
cana-5933	463	38	of	of	ADP
cana-5933	463	39	intuitionistic	intuitionistic	ADJ
cana-5933	463	40	fuzzy	fuzzy	ADJ
cana-5933	463	41	matrix	matrix	NOUN
cana-5933	463	42	.	.	PUNCT
cana-5933	464	1	proof	proof	NOUN
cana-5933	464	2	:	:	PUNCT
cana-5933	464	3	if	if	SCONJ
cana-5933	464	4	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	464	5	and	and	CCONJ
cana-5933	464	6	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	464	7	are	be	AUX
cana-5933	464	8	two	two	NUM
cana-5933	464	9	intuitionistic	intuitionistic	ADJ
cana-5933	464	10	fuzzy	fuzzy	ADJ
cana-5933	464	11	matrices	matrix	NOUN
cana-5933	464	12	sets	set	NOUN
cana-5933	464	13	over	over	ADP
cana-5933	464	14	different	different	ADJ
cana-5933	464	15	universes	universe	NOUN
cana-5933	464	16	e	e	PROPN
cana-5933	464	17	&	&	CCONJ
cana-5933	464	18	f	f	PROPN
cana-5933	464	19	and	and	CCONJ
cana-5933	464	20	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	464	21	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	464	22	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-5933	464	23	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	464	24	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	464	25	are	be	AUX
cana-5933	464	26	also	also	ADV
cana-5933	464	27	intuitionistic	intuitionistic	ADJ
cana-5933	464	28	fuzzy	fuzzy	ADJ
cana-5933	464	29	matrices	matrix	NOUN
cana-5933	464	30	sets	set	NOUN
cana-5933	464	31	over	over	ADP
cana-5933	464	32	different	different	ADJ
cana-5933	464	33	universes	universe	NOUN
cana-5933	464	34	e	e	NOUN
cana-5933	464	35	and	and	CCONJ
cana-5933	464	36	f.	f.	PROPN
cana-5933	464	37	if	if	SCONJ
cana-5933	464	38	we	we	PRON
cana-5933	464	39	consider	consider	VERB
cana-5933	464	40	to	to	ADP
cana-5933	464	41	3×	3×	NUM
cana-5933	464	42	3	3	NUM
cana-5933	464	43	matrix	matrix	NOUN
cana-5933	464	44	.	.	PUNCT
cana-5933	465	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	465	2	=	=	SYM
cana-5933	465	3	(	(	PUNCT
cana-5933	465	4	(	(	PUNCT
cana-5933	465	5	𝜇11	𝜇11	ADJ
cana-5933	465	6	,	,	PUNCT
cana-5933	465	7	𝜋11	𝜋11	NOUN
cana-5933	465	8	)	)	PUNCT
cana-5933	465	9	(	(	PUNCT
cana-5933	465	10	𝜇12	𝜇12	NOUN
cana-5933	465	11	,	,	PUNCT
cana-5933	465	12	𝜋12	𝜋12	NOUN
cana-5933	465	13	)	)	PUNCT
cana-5933	465	14	(	(	PUNCT
cana-5933	465	15	𝜇13	𝜇13	NOUN
cana-5933	465	16	,	,	PUNCT
cana-5933	465	17	𝜋13	𝜋13	NOUN
cana-5933	465	18	)	)	PUNCT
cana-5933	465	19	(	(	PUNCT
cana-5933	465	20	𝜇21	𝜇21	NOUN
cana-5933	465	21	,	,	PUNCT
cana-5933	465	22	𝜋21	𝜋21	NOUN
cana-5933	465	23	)	)	PUNCT
cana-5933	465	24	(	(	PUNCT
cana-5933	465	25	𝜇22	𝜇22	NOUN
cana-5933	465	26	,	,	PUNCT
cana-5933	465	27	𝜋22	𝜋22	NOUN
cana-5933	465	28	)	)	PUNCT
cana-5933	465	29	(	(	PUNCT
cana-5933	465	30	𝜇23	𝜇23	PROPN
cana-5933	465	31	,	,	PUNCT
cana-5933	465	32	𝜋23	𝜋23	ADJ
cana-5933	465	33	)	)	PUNCT
cana-5933	465	34	(	(	PUNCT
cana-5933	465	35	𝜇31	𝜇31	PROPN
cana-5933	465	36	,	,	PUNCT
cana-5933	465	37	𝜋31	𝜋31	PROPN
cana-5933	465	38	)	)	PUNCT
cana-5933	465	39	(	(	PUNCT
cana-5933	465	40	𝜇32	𝜇32	NOUN
cana-5933	465	41	,	,	PUNCT
cana-5933	465	42	𝜋32	𝜋32	NOUN
cana-5933	465	43	)	)	PUNCT
cana-5933	465	44	(	(	PUNCT
cana-5933	465	45	𝜇33	𝜇33	NOUN
cana-5933	465	46	,	,	PUNCT
cana-5933	465	47	𝜋33	𝜋33	NOUN
cana-5933	465	48	)	)	PUNCT
cana-5933	465	49	)	)	PUNCT
cana-5933	465	50	and	and	CCONJ
cana-5933	465	51	𝐵𝐹=	𝐵𝐹=	NOUN
cana-5933	465	52	(	(	PUNCT
cana-5933	465	53	(	(	PUNCT
cana-5933	465	54	𝜗11	𝜗11	NOUN
cana-5933	465	55	,	,	PUNCT
cana-5933	465	56	𝜃11	𝜃11	NOUN
cana-5933	465	57	)	)	PUNCT
cana-5933	465	58	(	(	PUNCT
cana-5933	465	59	𝜗12	𝜗12	PROPN
cana-5933	465	60	,	,	PUNCT
cana-5933	465	61	𝜃12	𝜃12	NUM
cana-5933	465	62	)	)	PUNCT
cana-5933	465	63	(	(	PUNCT
cana-5933	465	64	𝜗13	𝜗13	PROPN
cana-5933	465	65	,	,	PUNCT
cana-5933	465	66	𝜃13	𝜃13	PROPN
cana-5933	465	67	)	)	PUNCT
cana-5933	465	68	(	(	PUNCT
cana-5933	465	69	𝜗21	𝜗21	NOUN
cana-5933	465	70	,	,	PUNCT
cana-5933	465	71	𝜃21	𝜃21	NOUN
cana-5933	465	72	)	)	PUNCT
cana-5933	465	73	(	(	PUNCT
cana-5933	465	74	𝜗22	𝜗22	PROPN
cana-5933	465	75	,	,	PUNCT
cana-5933	465	76	𝜃22	𝜃22	NOUN
cana-5933	465	77	)	)	PUNCT
cana-5933	465	78	(	(	PUNCT
cana-5933	465	79	𝜗23	𝜗23	PROPN
cana-5933	465	80	,	,	PUNCT
cana-5933	465	81	𝜃23	𝜃23	PROPN
cana-5933	465	82	)	)	PUNCT
cana-5933	465	83	(	(	PUNCT
cana-5933	465	84	𝜗31	𝜗31	NUM
cana-5933	465	85	,	,	PUNCT
cana-5933	465	86	𝜃31	𝜃31	NUM
cana-5933	465	87	)	)	PUNCT
cana-5933	465	88	(	(	PUNCT
cana-5933	465	89	𝜗32	𝜗32	PROPN
cana-5933	465	90	,	,	PUNCT
cana-5933	465	91	𝜃32	𝜃32	PROPN
cana-5933	465	92	)	)	PUNCT
cana-5933	465	93	(	(	PUNCT
cana-5933	465	94	𝜗33	𝜗33	NOUN
cana-5933	465	95	,	,	PUNCT
cana-5933	465	96	𝜃33	𝜃33	NUM
cana-5933	465	97	)	)	PUNCT
cana-5933	465	98	)	)	PUNCT
cana-5933	466	1	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	466	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	466	3	=	=	X
cana-5933	466	4	(	(	PUNCT
cana-5933	466	5	(	(	PUNCT
cana-5933	466	6	𝜋11	𝜋11	NOUN
cana-5933	466	7	,	,	PUNCT
cana-5933	466	8	𝜇11	𝜇11	NOUN
cana-5933	466	9	)	)	PUNCT
cana-5933	466	10	(	(	PUNCT
cana-5933	466	11	𝜋12	𝜋12	NOUN
cana-5933	466	12	,	,	PUNCT
cana-5933	466	13	𝜇12	𝜇12	NOUN
cana-5933	466	14	)	)	PUNCT
cana-5933	466	15	(	(	PUNCT
cana-5933	466	16	𝜋13	𝜋13	PROPN
cana-5933	466	17	,	,	PUNCT
cana-5933	466	18	𝜇13	𝜇13	NOUN
cana-5933	466	19	)	)	PUNCT
cana-5933	466	20	(	(	PUNCT
cana-5933	466	21	𝜋21	𝜋21	ADJ
cana-5933	466	22	,	,	PUNCT
cana-5933	466	23	𝜇21	𝜇21	NOUN
cana-5933	466	24	)	)	PUNCT
cana-5933	466	25	(	(	PUNCT
cana-5933	466	26	𝜋22	𝜋22	NOUN
cana-5933	466	27	,	,	PUNCT
cana-5933	466	28	𝜇22	𝜇22	PROPN
cana-5933	466	29	)	)	PUNCT
cana-5933	466	30	(	(	PUNCT
cana-5933	466	31	𝜋23	𝜋23	ADJ
cana-5933	466	32	,	,	PUNCT
cana-5933	466	33	𝜇23	𝜇23	NOUN
cana-5933	466	34	)	)	PUNCT
cana-5933	466	35	(	(	PUNCT
cana-5933	466	36	𝜋31	𝜋31	PROPN
cana-5933	466	37	,	,	PUNCT
cana-5933	466	38	𝜇31	𝜇31	NOUN
cana-5933	466	39	)	)	PUNCT
cana-5933	466	40	(	(	PUNCT
cana-5933	466	41	𝜋32	𝜋32	NOUN
cana-5933	466	42	,	,	PUNCT
cana-5933	466	43	𝜇32	𝜇32	NOUN
cana-5933	466	44	)	)	PUNCT
cana-5933	466	45	(	(	PUNCT
cana-5933	466	46	𝜋33	𝜋33	PROPN
cana-5933	466	47	,	,	PUNCT
cana-5933	466	48	𝜇33	𝜇33	NOUN
cana-5933	466	49	)	)	PUNCT
cana-5933	466	50	)	)	PUNCT
cana-5933	466	51	and	and	CCONJ
cana-5933	466	52	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	466	53	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	466	54	=(	=(	NOUN
cana-5933	466	55	(	(	PUNCT
cana-5933	466	56	𝜃11	𝜃11	ADJ
cana-5933	466	57	,	,	PUNCT
cana-5933	466	58	𝜗11	𝜗11	NOUN
cana-5933	466	59	)	)	PUNCT
cana-5933	466	60	(	(	PUNCT
cana-5933	466	61	𝜃12	𝜃12	ADJ
cana-5933	466	62	,	,	PUNCT
cana-5933	466	63	𝜗12	𝜗12	PROPN
cana-5933	466	64	)	)	PUNCT
cana-5933	466	65	(	(	PUNCT
cana-5933	466	66	𝜃13	𝜃13	PROPN
cana-5933	466	67	,	,	PUNCT
cana-5933	466	68	𝜗13	𝜗13	NOUN
cana-5933	466	69	)	)	PUNCT
cana-5933	466	70	(	(	PUNCT
cana-5933	466	71	𝜃21	𝜃21	NOUN
cana-5933	466	72	,	,	PUNCT
cana-5933	466	73	𝜗21	𝜗21	NOUN
cana-5933	466	74	)	)	PUNCT
cana-5933	466	75	(	(	PUNCT
cana-5933	466	76	𝜃22	𝜃22	NOUN
cana-5933	466	77	,	,	PUNCT
cana-5933	466	78	𝜗22	𝜗22	PROPN
cana-5933	466	79	)	)	PUNCT
cana-5933	466	80	(	(	PUNCT
cana-5933	466	81	𝜃23	𝜃23	PROPN
cana-5933	466	82	,	,	PUNCT
cana-5933	466	83	𝜗23	𝜗23	ADJ
cana-5933	466	84	)	)	PUNCT
cana-5933	466	85	(	(	PUNCT
cana-5933	466	86	𝜃31	𝜃31	PROPN
cana-5933	466	87	,	,	PUNCT
cana-5933	466	88	𝜗31	𝜗31	NUM
cana-5933	466	89	)	)	PUNCT
cana-5933	466	90	(	(	PUNCT
cana-5933	466	91	𝜃32	𝜃32	PROPN
cana-5933	466	92	,	,	PUNCT
cana-5933	466	93	𝜗32	𝜗32	PROPN
cana-5933	466	94	)	)	PUNCT
cana-5933	466	95	(	(	PUNCT
cana-5933	466	96	𝜃33	𝜃33	NOUN
cana-5933	466	97	,	,	PUNCT
cana-5933	466	98	𝜗33	𝜗33	NOUN
cana-5933	466	99	)	)	PUNCT
cana-5933	466	100	)	)	PUNCT
cana-5933	466	101	communications	communication	NOUN
cana-5933	466	102	on	on	ADP
cana-5933	466	103	applied	apply	VERB
cana-5933	466	104	nonlinear	nonlinear	ADJ
cana-5933	466	105	analysis	analysis	NOUN
cana-5933	466	106	issn	issn	NOUN
cana-5933	466	107	:	:	PUNCT
cana-5933	466	108	1074	1074	NUM
cana-5933	466	109	-	-	PUNCT
cana-5933	466	110	133x	133x	NUM
cana-5933	466	111	vol	vol	VERB
cana-5933	466	112	32	32	NUM
cana-5933	466	113	no	no	NOUN
cana-5933	466	114	.	.	PUNCT
cana-5933	467	1	10s	10	NOUN
cana-5933	467	2	(	(	PUNCT
cana-5933	467	3	2025	2025	NUM
cana-5933	467	4	)	)	PUNCT
cana-5933	467	5	3156	3156	NUM
cana-5933	467	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	468	1	if	if	SCONJ
cana-5933	468	2	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	468	3	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	468	4	=	=	X
cana-5933	468	5	{	{	PUNCT
cana-5933	468	6	x	x	NOUN
cana-5933	468	7	,	,	PUNCT
cana-5933	468	8	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	468	9	)	)	PUNCT
cana-5933	468	10	,	,	PUNCT
cana-5933	468	11	𝜇(x	𝜇(x	X
cana-5933	468	12	):	):	PUNCT
cana-5933	468	13	xx	xx	PRON
cana-5933	468	14	}	}	PUNCT
cana-5933	468	15	and	and	CCONJ
cana-5933	468	16	𝐵𝐹	𝐵𝐹	NOUN
cana-5933	468	17	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	468	18	=	=	PUNCT
cana-5933	468	19	{	{	PUNCT
cana-5933	468	20	y	y	PROPN
cana-5933	468	21	,	,	PUNCT
cana-5933	468	22	𝜃𝐴(y	𝜃𝐴(y	PROPN
cana-5933	468	23	)	)	PUNCT
cana-5933	468	24	,	,	PUNCT
cana-5933	468	25	𝜗𝐴(y	𝜗𝐴(y	PROPN
cana-5933	468	26	):	):	PUNCT
cana-5933	468	27	yy	yy	PROPN
cana-5933	468	28	}	}	PUNCT
cana-5933	468	29	are	be	AUX
cana-5933	468	30	two	two	NUM
cana-5933	468	31	also	also	ADV
cana-5933	468	32	intuitionistic	intuitionistic	ADJ
cana-5933	468	33	fuzzy	fuzzy	ADJ
cana-5933	468	34	matrices	matrix	NOUN
cana-5933	468	35	sets	set	NOUN
cana-5933	468	36	over	over	ADP
cana-5933	468	37	different	different	ADJ
cana-5933	468	38	universes	universe	NOUN
cana-5933	468	39	e	e	NOUN
cana-5933	468	40	and	and	CCONJ
cana-5933	468	41	f.	f.	PROPN
cana-5933	468	42	by	by	ADP
cana-5933	468	43	the	the	DET
cana-5933	468	44	definition	definition	NOUN
cana-5933	468	45	of	of	ADP
cana-5933	468	46	𝐴𝐸	𝐴𝐸	X
cana-5933	468	47	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	468	48	=	=	X
cana-5933	468	49	{	{	PUNCT
cana-5933	468	50	x	x	NOUN
cana-5933	468	51	,	,	PUNCT
cana-5933	468	52	πa(x	πa(x	NOUN
cana-5933	468	53	):	):	PUNCT
cana-5933	468	54	xx	xx	PRON
cana-5933	468	55	}	}	PUNCT
cana-5933	468	56	=	=	SYM
cana-5933	468	57	{	{	PUNCT
cana-5933	468	58	x	x	NOUN
cana-5933	468	59	,	,	PUNCT
cana-5933	468	60	πa(x	πa(x	NOUN
cana-5933	468	61	)	)	PUNCT
cana-5933	468	62	,	,	PUNCT
cana-5933	468	63	1	1	NUM
cana-5933	468	64	−	−	PROPN
cana-5933	468	65	𝜋𝐴(x	𝜋𝐴(x	PROPN
cana-5933	468	66	):	):	PUNCT
cana-5933	468	67	xx	xx	NUM
cana-5933	468	68	}	}	PUNCT
cana-5933	468	69	and	and	CCONJ
cana-5933	468	70	𝐵𝐹	𝐵𝐹	NUM
cana-5933	468	71	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	468	72	=	=	SYM
cana-5933	468	73	{	{	PUNCT
cana-5933	468	74	y	y	PROPN
cana-5933	468	75	,	,	PUNCT
cana-5933	468	76	𝜃b(y	𝜃b(y	NUM
cana-5933	468	77	):	):	PUNCT
cana-5933	468	78	yy	yy	NOUN
cana-5933	468	79	}	}	PUNCT
cana-5933	468	80	=	=	SYM
cana-5933	468	81	{	{	PUNCT
cana-5933	468	82	y	y	PROPN
cana-5933	468	83	,	,	PUNCT
cana-5933	468	84	𝜃b(y	𝜃b(y	NUM
cana-5933	468	85	)	)	PUNCT
cana-5933	468	86	,	,	PUNCT
cana-5933	469	1	1	1	NUM
cana-5933	469	2	−	−	NOUN
cana-5933	469	3	𝜃𝐵(y	𝜃𝐵(y	NUM
cana-5933	469	4	):	):	PUNCT
cana-5933	469	5	yy	yy	NOUN
cana-5933	469	6	}	}	PUNCT
cana-5933	469	7	𝐴𝐸	𝐴𝐸	PUNCT
cana-5933	469	8	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	469	9	=	=	PUNCT
cana-5933	469	10	(	(	PUNCT
cana-5933	469	11	(	(	PUNCT
cana-5933	469	12	𝜋11	𝜋11	NOUN
cana-5933	469	13	,	,	PUNCT
cana-5933	469	14	1	1	NUM
cana-5933	469	15	−	−	NOUN
cana-5933	469	16	𝜋11	𝜋11	NOUN
cana-5933	469	17	)	)	PUNCT
cana-5933	469	18	(	(	PUNCT
cana-5933	469	19	𝜋12	𝜋12	NOUN
cana-5933	469	20	,	,	PUNCT
cana-5933	469	21	1	1	NUM
cana-5933	469	22	−	−	NOUN
cana-5933	469	23	𝜋12	𝜋12	NOUN
cana-5933	469	24	)	)	PUNCT
cana-5933	469	25	(	(	PUNCT
cana-5933	469	26	𝜋13	𝜋13	ADJ
cana-5933	469	27	,	,	PUNCT
cana-5933	469	28	1	1	NUM
cana-5933	469	29	−	−	NOUN
cana-5933	469	30	𝜋13	𝜋13	NOUN
cana-5933	469	31	)	)	PUNCT
cana-5933	469	32	(	(	PUNCT
cana-5933	469	33	𝜋21	𝜋21	VERB
cana-5933	469	34	,	,	PUNCT
cana-5933	469	35	1	1	NUM
cana-5933	469	36	−	−	NOUN
cana-5933	469	37	𝜋21	𝜋21	PROPN
cana-5933	469	38	)	)	PUNCT
cana-5933	469	39	(	(	PUNCT
cana-5933	469	40	𝜋22	𝜋22	NOUN
cana-5933	469	41	,	,	PUNCT
cana-5933	469	42	1	1	NUM
cana-5933	469	43	−	−	NOUN
cana-5933	469	44	𝜋22	𝜋22	NOUN
cana-5933	469	45	)	)	PUNCT
cana-5933	469	46	(	(	PUNCT
cana-5933	469	47	𝜋23	𝜋23	ADJ
cana-5933	469	48	,	,	PUNCT
cana-5933	469	49	1	1	NUM
cana-5933	469	50	−	−	NOUN
cana-5933	469	51	𝜋23	𝜋23	ADJ
cana-5933	469	52	)	)	PUNCT
cana-5933	469	53	(	(	PUNCT
cana-5933	469	54	𝜋31	𝜋31	PROPN
cana-5933	469	55	,	,	PUNCT
cana-5933	469	56	1	1	NUM
cana-5933	469	57	−	−	NOUN
cana-5933	469	58	𝜋31	𝜋31	NOUN
cana-5933	469	59	)	)	PUNCT
cana-5933	469	60	(	(	PUNCT
cana-5933	469	61	𝜋32	𝜋32	NOUN
cana-5933	469	62	,	,	PUNCT
cana-5933	469	63	1	1	NUM
cana-5933	469	64	−	−	NOUN
cana-5933	469	65	𝜋32	𝜋32	NOUN
cana-5933	469	66	)	)	PUNCT
cana-5933	469	67	(	(	PUNCT
cana-5933	469	68	𝜋33	𝜋33	NOUN
cana-5933	469	69	,	,	PUNCT
cana-5933	469	70	1	1	NUM
cana-5933	469	71	−	−	NOUN
cana-5933	469	72	𝜋33	𝜋33	NOUN
cana-5933	469	73	)	)	PUNCT
cana-5933	469	74	)	)	PUNCT
cana-5933	469	75	and	and	CCONJ
cana-5933	469	76	𝐵𝐹	𝐵𝐹	NUM
cana-5933	469	77	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	469	78	=	=	X
cana-5933	469	79	(	(	PUNCT
cana-5933	469	80	(	(	PUNCT
cana-5933	469	81	𝜃11	𝜃11	ADJ
cana-5933	469	82	,	,	PUNCT
cana-5933	469	83	1	1	NUM
cana-5933	469	84	−	−	NOUN
cana-5933	469	85	𝜃11	𝜃11	NOUN
cana-5933	469	86	)	)	PUNCT
cana-5933	469	87	(	(	PUNCT
cana-5933	469	88	𝜃12	𝜃12	ADJ
cana-5933	469	89	,	,	PUNCT
cana-5933	469	90	1	1	NUM
cana-5933	469	91	−	−	NOUN
cana-5933	469	92	𝜃12	𝜃12	NUM
cana-5933	469	93	)	)	PUNCT
cana-5933	469	94	(	(	PUNCT
cana-5933	469	95	𝜃13	𝜃13	PROPN
cana-5933	469	96	,	,	PUNCT
cana-5933	469	97	1	1	NUM
cana-5933	469	98	−	−	NOUN
cana-5933	469	99	𝜃13	𝜃13	NOUN
cana-5933	469	100	)	)	PUNCT
cana-5933	469	101	(	(	PUNCT
cana-5933	469	102	𝜃21	𝜃21	NOUN
cana-5933	469	103	,	,	PUNCT
cana-5933	469	104	1	1	NUM
cana-5933	469	105	−	−	NOUN
cana-5933	469	106	𝜃21	𝜃21	NOUN
cana-5933	469	107	)	)	PUNCT
cana-5933	469	108	(	(	PUNCT
cana-5933	469	109	𝜃22	𝜃22	ADV
cana-5933	469	110	,	,	PUNCT
cana-5933	469	111	1	1	NUM
cana-5933	469	112	−	−	PROPN
cana-5933	469	113	𝜃22	𝜃22	NOUN
cana-5933	469	114	)	)	PUNCT
cana-5933	469	115	(	(	PUNCT
cana-5933	469	116	𝜃23	𝜃23	PROPN
cana-5933	469	117	,	,	PUNCT
cana-5933	469	118	1	1	NUM
cana-5933	469	119	−	−	PROPN
cana-5933	469	120	𝜃23	𝜃23	NOUN
cana-5933	469	121	)	)	PUNCT
cana-5933	469	122	(	(	PUNCT
cana-5933	469	123	𝜃31	𝜃31	PROPN
cana-5933	469	124	,	,	PUNCT
cana-5933	469	125	1	1	NUM
cana-5933	469	126	−	−	NOUN
cana-5933	469	127	𝜃31	𝜃31	NUM
cana-5933	469	128	)	)	PUNCT
cana-5933	469	129	(	(	PUNCT
cana-5933	469	130	𝜃32	𝜃32	PROPN
cana-5933	469	131	,	,	PUNCT
cana-5933	469	132	1	1	NUM
cana-5933	469	133	−	−	NOUN
cana-5933	469	134	𝜃32	𝜃32	PROPN
cana-5933	469	135	)	)	PUNCT
cana-5933	469	136	(	(	PUNCT
cana-5933	469	137	𝜃33	𝜃33	NOUN
cana-5933	469	138	,	,	PUNCT
cana-5933	469	139	1	1	NUM
cana-5933	469	140	−	−	NOUN
cana-5933	469	141	𝜃33	𝜃33	NOUN
cana-5933	469	142	)	)	PUNCT
cana-5933	469	143	)	)	PUNCT
cana-5933	470	1	then	then	ADV
cana-5933	470	2	the	the	DET
cana-5933	470	3	applying	apply	VERB
cana-5933	470	4	formula	formula	NOUN
cana-5933	470	5	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	470	6	̅̅	̅̅	PROPN
cana-5933	470	7	̅̅	̅̅	PROPN
cana-5933	470	8			PUNCT
cana-5933	470	9	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	470	10	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	470	11	=	=	X
cana-5933	470	12	{	{	PUNCT
cana-5933	470	13	(	(	PUNCT
cana-5933	470	14	x	x	NOUN
cana-5933	470	15	,	,	PUNCT
cana-5933	470	16	y	y	PROPN
cana-5933	470	17	)	)	PUNCT
cana-5933	470	18	,	,	PUNCT
cana-5933	470	19	�	�	PROPN
cana-5933	470	20	̅	̅	NOUN
cana-5933	470	21	�	�	NOUN
cana-5933	470	22	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	470	23	�	�	NOUN
cana-5933	470	24	̅	̅	NOUN
cana-5933	470	25	�	�	NOUN
cana-5933	470	26	𝐵(y	𝐵(y	NUM
cana-5933	470	27	)	)	PUNCT
cana-5933	470	28	�	�	NOUN
cana-5933	470	29	̅	̅	NOUN
cana-5933	470	30	�	�	NOUN
cana-5933	470	31	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	470	32	�	�	NOUN
cana-5933	470	33	̅	̅	NOUN
cana-5933	470	34	�	�	NOUN
cana-5933	470	35	𝐵(y)+	𝐵(y)+	NOUN
cana-5933	470	36	�	�	NOUN
cana-5933	470	37	̅	̅	NOUN
cana-5933	470	38	�	�	NOUN
cana-5933	470	39	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	470	40	�	�	NOUN
cana-5933	470	41	̅	̅	NOUN
cana-5933	470	42	�	�	NOUN
cana-5933	470	43	𝐵(y	𝐵(y	NUM
cana-5933	470	44	)	)	PUNCT
cana-5933	470	45	,	,	PUNCT
cana-5933	470	46	�	�	NOUN
cana-5933	470	47	̅	̅	NOUN
cana-5933	470	48	�	�	NOUN
cana-5933	470	49	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	470	50	�	�	NOUN
cana-5933	470	51	̅	̅	NOUN
cana-5933	470	52	�	�	NOUN
cana-5933	470	53	𝐵(y	𝐵(y	NUM
cana-5933	470	54	)	)	PUNCT
cana-5933	470	55	�	�	NOUN
cana-5933	470	56	̅	̅	NOUN
cana-5933	470	57	�	�	NOUN
cana-5933	470	58	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	470	59	�	�	NOUN
cana-5933	470	60	̅	̅	NOUN
cana-5933	470	61	�	�	NOUN
cana-5933	470	62	𝐵(y)+	𝐵(y)+	NOUN
cana-5933	470	63	�	�	NOUN
cana-5933	470	64	̅	̅	NOUN
cana-5933	470	65	�	�	NOUN
cana-5933	470	66	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	470	67	�	�	NOUN
cana-5933	470	68	̅	̅	NOUN
cana-5933	470	69	�	�	NOUN
cana-5933	470	70	𝐵(y	𝐵(y	NUM
cana-5933	470	71	)	)	PUNCT
cana-5933	470	72	∶	∶	NOUN
cana-5933	470	73	xe	xe	PROPN
cana-5933	470	74	,	,	PUNCT
cana-5933	470	75	yf},we	yf},we	PROPN
cana-5933	470	76	have	have	VERB
cana-5933	470	77			PROPN
cana-5933	470	78	�	�	NOUN
cana-5933	470	79	̅	̅	NOUN
cana-5933	470	80	�	�	NOUN
cana-5933	470	81	𝐸	𝐸	NOUN
cana-5933	470	82			PUNCT
cana-5933	470	83			PROPN
cana-5933	470	84	�	�	NOUN
cana-5933	470	85	̅	̅	NOUN
cana-5933	470	86	�	�	NOUN
cana-5933	470	87	𝐹	𝐹	NOUN
cana-5933	470	88	=	=	PUNCT
cana-5933	470	89	(	(	PUNCT
cana-5933	470	90	(	(	PUNCT
cana-5933	470	91	𝜋11	𝜋11	NOUN
cana-5933	470	92	,	,	PUNCT
cana-5933	470	93	1	1	NUM
cana-5933	470	94	−	−	NOUN
cana-5933	470	95	𝜋11	𝜋11	NOUN
cana-5933	470	96	)	)	PUNCT
cana-5933	470	97	(	(	PUNCT
cana-5933	470	98	𝜋12	𝜋12	NOUN
cana-5933	470	99	,	,	PUNCT
cana-5933	470	100	1	1	NUM
cana-5933	470	101	−	−	NOUN
cana-5933	470	102	𝜋12	𝜋12	NOUN
cana-5933	470	103	)	)	PUNCT
cana-5933	470	104	(	(	PUNCT
cana-5933	470	105	𝜋13	𝜋13	ADJ
cana-5933	470	106	,	,	PUNCT
cana-5933	470	107	1	1	NUM
cana-5933	470	108	−	−	NOUN
cana-5933	470	109	𝜋13	𝜋13	NOUN
cana-5933	470	110	)	)	PUNCT
cana-5933	470	111	(	(	PUNCT
cana-5933	470	112	𝜋21	𝜋21	VERB
cana-5933	470	113	,	,	PUNCT
cana-5933	470	114	1	1	NUM
cana-5933	470	115	−	−	NOUN
cana-5933	470	116	𝜋21	𝜋21	PROPN
cana-5933	470	117	)	)	PUNCT
cana-5933	470	118	(	(	PUNCT
cana-5933	470	119	𝜋22	𝜋22	NOUN
cana-5933	470	120	,	,	PUNCT
cana-5933	470	121	1	1	NUM
cana-5933	470	122	−	−	NOUN
cana-5933	470	123	𝜋22	𝜋22	NOUN
cana-5933	470	124	)	)	PUNCT
cana-5933	470	125	(	(	PUNCT
cana-5933	470	126	𝜋23	𝜋23	ADJ
cana-5933	470	127	,	,	PUNCT
cana-5933	470	128	1	1	NUM
cana-5933	470	129	−	−	NOUN
cana-5933	470	130	𝜋23	𝜋23	ADJ
cana-5933	470	131	)	)	PUNCT
cana-5933	470	132	(	(	PUNCT
cana-5933	470	133	𝜋31	𝜋31	PROPN
cana-5933	470	134	,	,	PUNCT
cana-5933	470	135	1	1	NUM
cana-5933	470	136	−	−	NOUN
cana-5933	470	137	𝜋31	𝜋31	NOUN
cana-5933	470	138	)	)	PUNCT
cana-5933	470	139	(	(	PUNCT
cana-5933	470	140	𝜋32	𝜋32	NOUN
cana-5933	470	141	,	,	PUNCT
cana-5933	470	142	1	1	NUM
cana-5933	470	143	−	−	NOUN
cana-5933	470	144	𝜋32	𝜋32	NOUN
cana-5933	470	145	)	)	PUNCT
cana-5933	470	146	(	(	PUNCT
cana-5933	470	147	𝜋33	𝜋33	NOUN
cana-5933	470	148	,	,	PUNCT
cana-5933	470	149	1	1	NUM
cana-5933	470	150	−	−	NOUN
cana-5933	470	151	𝜋33	𝜋33	NOUN
cana-5933	470	152	)	)	PUNCT
cana-5933	470	153	)	)	PUNCT
cana-5933	470	154			X
cana-5933	471	1	(	(	PUNCT
cana-5933	471	2	(	(	PUNCT
cana-5933	471	3	𝜃11	𝜃11	ADJ
cana-5933	471	4	,	,	PUNCT
cana-5933	471	5	1	1	NUM
cana-5933	471	6	−	−	NOUN
cana-5933	471	7	𝜃11	𝜃11	NOUN
cana-5933	471	8	)	)	PUNCT
cana-5933	471	9	(	(	PUNCT
cana-5933	471	10	𝜃12	𝜃12	ADJ
cana-5933	471	11	,	,	PUNCT
cana-5933	471	12	1	1	NUM
cana-5933	471	13	−	−	NOUN
cana-5933	471	14	𝜃12	𝜃12	NUM
cana-5933	471	15	)	)	PUNCT
cana-5933	471	16	(	(	PUNCT
cana-5933	471	17	𝜃13	𝜃13	PROPN
cana-5933	471	18	,	,	PUNCT
cana-5933	471	19	1	1	NUM
cana-5933	471	20	−	−	NOUN
cana-5933	471	21	𝜃13	𝜃13	NOUN
cana-5933	471	22	)	)	PUNCT
cana-5933	471	23	(	(	PUNCT
cana-5933	471	24	𝜃21	𝜃21	NOUN
cana-5933	471	25	,	,	PUNCT
cana-5933	471	26	1	1	NUM
cana-5933	471	27	−	−	NOUN
cana-5933	471	28	𝜃21	𝜃21	NOUN
cana-5933	471	29	)	)	PUNCT
cana-5933	471	30	(	(	PUNCT
cana-5933	471	31	𝜃22	𝜃22	ADV
cana-5933	471	32	,	,	PUNCT
cana-5933	471	33	1	1	NUM
cana-5933	471	34	−	−	PROPN
cana-5933	471	35	𝜃22	𝜃22	NOUN
cana-5933	471	36	)	)	PUNCT
cana-5933	471	37	(	(	PUNCT
cana-5933	471	38	𝜃23	𝜃23	PROPN
cana-5933	471	39	,	,	PUNCT
cana-5933	471	40	1	1	NUM
cana-5933	471	41	−	−	PROPN
cana-5933	471	42	𝜃23	𝜃23	NOUN
cana-5933	471	43	)	)	PUNCT
cana-5933	471	44	(	(	PUNCT
cana-5933	471	45	𝜃31	𝜃31	PROPN
cana-5933	471	46	,	,	PUNCT
cana-5933	471	47	1	1	NUM
cana-5933	471	48	−	−	NOUN
cana-5933	471	49	𝜃31	𝜃31	NUM
cana-5933	471	50	)	)	PUNCT
cana-5933	471	51	(	(	PUNCT
cana-5933	471	52	𝜃32	𝜃32	PROPN
cana-5933	471	53	,	,	PUNCT
cana-5933	471	54	1	1	NUM
cana-5933	471	55	−	−	NOUN
cana-5933	471	56	𝜃32	𝜃32	PROPN
cana-5933	471	57	)	)	PUNCT
cana-5933	471	58	(	(	PUNCT
cana-5933	471	59	𝜃33	𝜃33	NOUN
cana-5933	471	60	,	,	PUNCT
cana-5933	471	61	1	1	NUM
cana-5933	471	62	−	−	NOUN
cana-5933	471	63	𝜃33	𝜃33	NOUN
cana-5933	471	64	)	)	PUNCT
cana-5933	471	65	)	)	PUNCT
cana-5933	471	66	where	where	SCONJ
cana-5933	471	67	,	,	PUNCT
cana-5933	471	68	𝑋11	𝑋11	PROPN
cana-5933	471	69	=(	=(	NOUN
cana-5933	471	70	(	(	PUNCT
cana-5933	471	71	𝜋11	𝜋11	NOUN
cana-5933	471	72	,	,	PUNCT
cana-5933	471	73	1	1	NUM
cana-5933	471	74	−	−	NOUN
cana-5933	471	75	𝜋11	𝜋11	NOUN
cana-5933	471	76	)	)	PUNCT
cana-5933	471	77			PUNCT
cana-5933	471	78	(	(	PUNCT
cana-5933	471	79	𝜃11	𝜃11	ADJ
cana-5933	471	80	,	,	PUNCT
cana-5933	471	81	1	1	NUM
cana-5933	471	82	−	−	NOUN
cana-5933	471	83	𝜃11	𝜃11	NOUN
cana-5933	471	84	)	)	PUNCT
cana-5933	471	85	)	)	PUNCT
cana-5933	471	86	,	,	PUNCT
cana-5933	471	87	𝑋12=	𝑋12=	PROPN
cana-5933	471	88	(	(	PUNCT
cana-5933	471	89	(	(	PUNCT
cana-5933	471	90	𝜋12	𝜋12	NOUN
cana-5933	471	91	,	,	PUNCT
cana-5933	471	92	1	1	NUM
cana-5933	471	93	−	−	NOUN
cana-5933	471	94	𝜋12	𝜋12	NOUN
cana-5933	471	95	)	)	PUNCT
cana-5933	471	96			PUNCT
cana-5933	471	97	(	(	PUNCT
cana-5933	471	98	𝜃21	𝜃21	NOUN
cana-5933	471	99	,	,	PUNCT
cana-5933	471	100	1	1	NUM
cana-5933	471	101	−	−	NOUN
cana-5933	471	102	𝜃21	𝜃21	NOUN
cana-5933	471	103	)	)	PUNCT
cana-5933	471	104	)	)	PUNCT
cana-5933	471	105	𝑋13=	𝑋13=	PROPN
cana-5933	471	106	(	(	PUNCT
cana-5933	471	107	(	(	PUNCT
cana-5933	471	108	𝜋13	𝜋13	ADJ
cana-5933	471	109	,	,	PUNCT
cana-5933	471	110	1	1	NUM
cana-5933	471	111	−	−	NOUN
cana-5933	471	112	𝜋13	𝜋13	NOUN
cana-5933	471	113	)	)	PUNCT
cana-5933	471	114			PUNCT
cana-5933	471	115	(	(	PUNCT
cana-5933	471	116	𝜃31	𝜃31	PROPN
cana-5933	471	117	,	,	PUNCT
cana-5933	471	118	1	1	NUM
cana-5933	471	119	−	−	NOUN
cana-5933	471	120	𝜃31	𝜃31	NUM
cana-5933	471	121	)	)	PUNCT
cana-5933	471	122	)	)	PUNCT
cana-5933	471	123	,	,	PUNCT
cana-5933	471	124	𝑋21=	𝑋21=	X
cana-5933	471	125	(	(	PUNCT
cana-5933	471	126	(	(	PUNCT
cana-5933	471	127	𝜋21	𝜋21	VERB
cana-5933	471	128	,	,	PUNCT
cana-5933	471	129	1	1	NUM
cana-5933	471	130	−	−	NOUN
cana-5933	471	131	𝜋21	𝜋21	PROPN
cana-5933	471	132	)	)	PUNCT
cana-5933	471	133			PUNCT
cana-5933	471	134	(	(	PUNCT
cana-5933	471	135	𝜃12	𝜃12	ADJ
cana-5933	471	136	,	,	PUNCT
cana-5933	471	137	1	1	NUM
cana-5933	471	138	−	−	NOUN
cana-5933	471	139	𝜃12	𝜃12	NUM
cana-5933	471	140	)	)	PUNCT
cana-5933	471	141	)	)	PUNCT
cana-5933	472	1	𝑋22=	𝑋22=	PROPN
cana-5933	472	2	(	(	PUNCT
cana-5933	472	3	(	(	PUNCT
cana-5933	472	4	𝜋22	𝜋22	NOUN
cana-5933	472	5	,	,	PUNCT
cana-5933	472	6	1	1	NUM
cana-5933	472	7	−	−	PROPN
cana-5933	472	8	𝜋22	𝜋22	NOUN
cana-5933	472	9	)	)	PUNCT
cana-5933	472	10			PUNCT
cana-5933	472	11	(	(	PUNCT
cana-5933	472	12	𝜃22	𝜃22	ADJ
cana-5933	472	13	,	,	PUNCT
cana-5933	472	14	1	1	NUM
cana-5933	472	15	−	−	NOUN
cana-5933	472	16	𝜃22	𝜃22	NOUN
cana-5933	472	17	)	)	PUNCT
cana-5933	472	18	)	)	PUNCT
cana-5933	472	19	,	,	PUNCT
cana-5933	472	20	𝑋23=	𝑋23=	X
cana-5933	472	21	(	(	PUNCT
cana-5933	472	22	(	(	PUNCT
cana-5933	472	23	𝜋23	𝜋23	ADJ
cana-5933	472	24	,	,	PUNCT
cana-5933	472	25	1	1	NUM
cana-5933	472	26	−	−	NOUN
cana-5933	472	27	𝜋23	𝜋23	ADJ
cana-5933	472	28	)	)	PUNCT
cana-5933	472	29			PUNCT
cana-5933	472	30	(	(	PUNCT
cana-5933	472	31	𝜃32	𝜃32	ADJ
cana-5933	472	32	,	,	PUNCT
cana-5933	472	33	1	1	NUM
cana-5933	472	34	−	−	NOUN
cana-5933	472	35	𝜃32	𝜃32	NOUN
cana-5933	472	36	)	)	PUNCT
cana-5933	472	37	)	)	PUNCT
cana-5933	472	38	𝑋31=	𝑋31=	ADP
cana-5933	472	39	(	(	PUNCT
cana-5933	472	40	(	(	PUNCT
cana-5933	472	41	𝜋31	𝜋31	PROPN
cana-5933	472	42	,	,	PUNCT
cana-5933	472	43	1	1	NUM
cana-5933	472	44	−	−	NOUN
cana-5933	472	45	𝜋31	𝜋31	NOUN
cana-5933	472	46	)	)	PUNCT
cana-5933	472	47			X
cana-5933	472	48	(	(	PUNCT
cana-5933	472	49	𝜃13	𝜃13	PROPN
cana-5933	472	50	,	,	PUNCT
cana-5933	472	51	1	1	NUM
cana-5933	472	52	−	−	NOUN
cana-5933	472	53	𝜃13	𝜃13	NOUN
cana-5933	472	54	)	)	PUNCT
cana-5933	472	55	)	)	PUNCT
cana-5933	472	56	,	,	PUNCT
cana-5933	472	57	𝑋32=	𝑋32=	X
cana-5933	472	58	(	(	PUNCT
cana-5933	472	59	(	(	PUNCT
cana-5933	472	60	𝜋32	𝜋32	NOUN
cana-5933	472	61	,	,	PUNCT
cana-5933	472	62	1	1	NUM
cana-5933	472	63	−	−	NOUN
cana-5933	472	64	𝜋32	𝜋32	NOUN
cana-5933	472	65	)	)	PUNCT
cana-5933	472	66			X
cana-5933	472	67	(	(	PUNCT
cana-5933	472	68	𝜃23	𝜃23	PROPN
cana-5933	472	69	,	,	PUNCT
cana-5933	472	70	1	1	NUM
cana-5933	472	71	−	−	PROPN
cana-5933	472	72	𝜃23	𝜃23	NOUN
cana-5933	472	73	)	)	PUNCT
cana-5933	472	74	)	)	PUNCT
cana-5933	472	75	𝑋33=	𝑋33=	NOUN
cana-5933	472	76	(	(	PUNCT
cana-5933	472	77	(	(	PUNCT
cana-5933	472	78	𝜋33	𝜋33	NOUN
cana-5933	472	79	,	,	PUNCT
cana-5933	472	80	1	1	NUM
cana-5933	472	81	−	−	NOUN
cana-5933	472	82	𝜋33	𝜋33	NOUN
cana-5933	472	83	)	)	PUNCT
cana-5933	472	84			PUNCT
cana-5933	472	85	(	(	PUNCT
cana-5933	472	86	𝜃33	𝜃33	NOUN
cana-5933	472	87	,	,	PUNCT
cana-5933	472	88	1	1	NUM
cana-5933	472	89	−	−	NOUN
cana-5933	472	90	𝜃33	𝜃33	NOUN
cana-5933	472	91	)	)	PUNCT
cana-5933	472	92	)	)	PUNCT
cana-5933	472	93	now	now	ADV
cana-5933	472	94	applying	apply	VERB
cana-5933	472	95	the	the	DET
cana-5933	472	96	formula	formula	NOUN
cana-5933	472	97	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	472	98	̅̅	̅̅	PROPN
cana-5933	472	99	̅̅	̅̅	PROPN
cana-5933	472	100			PUNCT
cana-5933	473	1	𝐵𝐹	𝐵𝐹	PROPN
cana-5933	473	2	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	473	3	=	=	X
cana-5933	473	4	{	{	PUNCT
cana-5933	473	5	(	(	PUNCT
cana-5933	473	6	x	x	NOUN
cana-5933	473	7	,	,	PUNCT
cana-5933	473	8	y	y	PROPN
cana-5933	473	9	)	)	PUNCT
cana-5933	473	10	,	,	PUNCT
cana-5933	473	11	�	�	PROPN
cana-5933	473	12	̅	̅	NOUN
cana-5933	473	13	�	�	NOUN
cana-5933	473	14	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	473	15	�	�	NOUN
cana-5933	473	16	̅	̅	NOUN
cana-5933	473	17	�	�	NOUN
cana-5933	473	18	𝐵(y	𝐵(y	NUM
cana-5933	473	19	)	)	PUNCT
cana-5933	473	20	�	�	NOUN
cana-5933	473	21	̅	̅	NOUN
cana-5933	473	22	�	�	NOUN
cana-5933	473	23	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	473	24	�	�	NOUN
cana-5933	473	25	̅	̅	NOUN
cana-5933	473	26	�	�	NOUN
cana-5933	473	27	𝐵(y)+	𝐵(y)+	NOUN
cana-5933	473	28	�	�	NOUN
cana-5933	473	29	̅	̅	NOUN
cana-5933	473	30	�	�	NOUN
cana-5933	473	31	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	473	32	�	�	NOUN
cana-5933	473	33	̅	̅	NOUN
cana-5933	473	34	�	�	NOUN
cana-5933	473	35	𝐵(y	𝐵(y	NUM
cana-5933	473	36	)	)	PUNCT
cana-5933	473	37	,	,	PUNCT
cana-5933	473	38	�	�	NOUN
cana-5933	473	39	̅	̅	NOUN
cana-5933	473	40	�	�	NOUN
cana-5933	473	41	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	473	42	�	�	NOUN
cana-5933	473	43	̅	̅	NOUN
cana-5933	473	44	�	�	NOUN
cana-5933	473	45	𝐵(y	𝐵(y	NUM
cana-5933	473	46	)	)	PUNCT
cana-5933	473	47	�	�	NOUN
cana-5933	473	48	̅	̅	NOUN
cana-5933	473	49	�	�	NOUN
cana-5933	473	50	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	473	51	�	�	NOUN
cana-5933	473	52	̅	̅	NOUN
cana-5933	473	53	�	�	NOUN
cana-5933	473	54	𝐵(y)+	𝐵(y)+	NOUN
cana-5933	473	55	�	�	NOUN
cana-5933	473	56	̅	̅	NOUN
cana-5933	473	57	�	�	NOUN
cana-5933	473	58	𝐴(x)+	𝐴(x)+	NOUN
cana-5933	473	59	�	�	NOUN
cana-5933	473	60	̅	̅	NOUN
cana-5933	473	61	�	�	NOUN
cana-5933	473	62	𝐵(y	𝐵(y	NUM
cana-5933	473	63	)	)	PUNCT
cana-5933	473	64	∶	∶	NOUN
cana-5933	473	65	xe	xe	X
cana-5933	473	66	,	,	PUNCT
cana-5933	473	67	yf	yf	NOUN
cana-5933	473	68	}	}	PUNCT
cana-5933	473	69	𝑋11=	𝑋11=	NOUN
cana-5933	473	70	{	{	PUNCT
cana-5933	473	71	𝜋11(x)+	𝜋11(x)+	X
cana-5933	473	72	𝜃11(y	𝜃11(y	ADV
cana-5933	473	73	)	)	PUNCT
cana-5933	473	74	𝜋11(x)+	𝜋11(x)+	NOUN
cana-5933	473	75	𝜃11(y)+	𝜃11(y)+	VERB
cana-5933	473	76	1−	1−	NUM
cana-5933	473	77	𝜋11(x)+1−𝜃11(y	𝜋11(x)+1−𝜃11(y	NUM
cana-5933	473	78	)	)	PUNCT
cana-5933	473	79	,	,	PUNCT
cana-5933	473	80	1−	1−	NUM
cana-5933	473	81	𝜋11(x)+	𝜋11(x)+	NOUN
cana-5933	473	82	1−𝜃11(y	1−𝜃11(y	NUM
cana-5933	473	83	)	)	PUNCT
cana-5933	473	84	𝜋11(x)+	𝜋11(x)+	NOUN
cana-5933	473	85	𝜃11(y)+	𝜃11(y)+	VERB
cana-5933	473	86	1−	1−	NUM
cana-5933	473	87	𝜋11(x)+	𝜋11(x)+	NOUN
cana-5933	473	88	1−𝜃11(y	1−𝜃11(y	NUM
cana-5933	473	89	)	)	PUNCT
cana-5933	473	90	}	}	PUNCT
cana-5933	473	91	𝑋12=	𝑋12=	VERB
cana-5933	473	92	{	{	PUNCT
cana-5933	473	93	𝜋12(x)+	𝜋12(x)+	PROPN
cana-5933	473	94	𝜃21(y	𝜃21(y	PROPN
cana-5933	473	95	)	)	PUNCT
cana-5933	473	96	𝜋12(x)+	𝜋12(x)+	NOUN
cana-5933	473	97	𝜃21(y)+	𝜃21(y)+	NOUN
cana-5933	473	98	1−	1−	NUM
cana-5933	473	99	𝜋12(x)+1−𝜃21(y	𝜋12(x)+1−𝜃21(y	NUM
cana-5933	473	100	)	)	PUNCT
cana-5933	473	101	,	,	PUNCT
cana-5933	474	1	1−	1−	NUM
cana-5933	474	2	𝜋12(x)+	𝜋12(x)+	NOUN
cana-5933	474	3	1−𝜃21(y	1−𝜃21(y	NUM
cana-5933	474	4	)	)	PUNCT
cana-5933	474	5	𝜋12(x)+	𝜋12(x)+	NOUN
cana-5933	474	6	𝜃21(y)+	𝜃21(y)+	NOUN
cana-5933	474	7	1−	1−	NUM
cana-5933	474	8	𝜋12(x)+	𝜋12(x)+	NOUN
cana-5933	474	9	1−𝜃21(y	1−𝜃21(y	NUM
cana-5933	474	10	)	)	PUNCT
cana-5933	474	11	}	}	PUNCT
cana-5933	474	12	𝑋13=	𝑋13=	PROPN
cana-5933	474	13	{	{	PUNCT
cana-5933	474	14	𝜋13(x)+	𝜋13(x)+	X
cana-5933	474	15	𝜃31(y	𝜃31(y	ADJ
cana-5933	474	16	)	)	PUNCT
cana-5933	474	17	𝜋13(x)+	𝜋13(x)+	VERB
cana-5933	474	18	𝜃31(y)+	𝜃31(y)+	NOUN
cana-5933	474	19	1−	1−	NUM
cana-5933	474	20	𝜋13(x)+1−𝜃31(y	𝜋13(x)+1−𝜃31(y	PROPN
cana-5933	474	21	)	)	PUNCT
cana-5933	474	22	,	,	PUNCT
cana-5933	474	23	1−	1−	NUM
cana-5933	474	24	𝜋13(x)+	𝜋13(x)+	NOUN
cana-5933	474	25	1−𝜃31(y	1−𝜃31(y	NUM
cana-5933	474	26	)	)	PUNCT
cana-5933	474	27	𝜋13(x)+	𝜋13(x)+	VERB
cana-5933	474	28	𝜃31(y)+	𝜃31(y)+	NOUN
cana-5933	474	29	1−	1−	NUM
cana-5933	474	30	𝜋13(x)+	𝜋13(x)+	NOUN
cana-5933	474	31	1−𝜃31(y	1−𝜃31(y	NUM
cana-5933	474	32	)	)	PUNCT
cana-5933	474	33	}	}	PUNCT
cana-5933	474	34	communications	communication	NOUN
cana-5933	474	35	on	on	ADP
cana-5933	474	36	applied	apply	VERB
cana-5933	474	37	nonlinear	nonlinear	ADJ
cana-5933	474	38	analysis	analysis	NOUN
cana-5933	474	39	issn	issn	NOUN
cana-5933	474	40	:	:	PUNCT
cana-5933	474	41	1074	1074	NUM
cana-5933	474	42	-	-	PUNCT
cana-5933	474	43	133x	133x	NUM
cana-5933	474	44	vol	vol	VERB
cana-5933	474	45	32	32	NUM
cana-5933	474	46	no	no	NOUN
cana-5933	474	47	.	.	PUNCT
cana-5933	474	48	10s	10	NOUN
cana-5933	474	49	(	(	PUNCT
cana-5933	474	50	2025	2025	NUM
cana-5933	474	51	)	)	PUNCT
cana-5933	474	52	3157	3157	NUM
cana-5933	474	53	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	474	54	𝑋21=	𝑋21=	NOUN
cana-5933	474	55	{	{	PUNCT
cana-5933	474	56	𝜋21(x)+	𝜋21(x)+	X
cana-5933	474	57	𝜃12(y	𝜃12(y	ADV
cana-5933	474	58	)	)	PUNCT
cana-5933	474	59	𝜋21(x)+	𝜋21(x)+	NOUN
cana-5933	474	60	𝜃12(y)+	𝜃12(y)+	NOUN
cana-5933	474	61	1−	1−	NUM
cana-5933	474	62	𝜋21(x)+1−𝜃12(y	𝜋21(x)+1−𝜃12(y	PROPN
cana-5933	474	63	)	)	PUNCT
cana-5933	474	64	,	,	PUNCT
cana-5933	474	65	1−	1−	NUM
cana-5933	474	66	𝜋21(x)+	𝜋21(x)+	VERB
cana-5933	474	67	1−𝜃12(y	1−𝜃12(y	ADJ
cana-5933	474	68	)	)	PUNCT
cana-5933	474	69	𝜋21(x)+	𝜋21(x)+	NOUN
cana-5933	474	70	𝜃12(y)+	𝜃12(y)+	X
cana-5933	474	71	1−	1−	NUM
cana-5933	474	72	𝜋21(x)+	𝜋21(x)+	NOUN
cana-5933	474	73	1−𝜃12(y	1−𝜃12(y	NUM
cana-5933	474	74	)	)	PUNCT
cana-5933	474	75	}	}	PUNCT
cana-5933	474	76	𝑋22=	𝑋22=	PROPN
cana-5933	474	77	{	{	PUNCT
cana-5933	474	78	𝜋22(x)+	𝜋22(x)+	NOUN
cana-5933	474	79	𝜃22(y	𝜃22(y	PRON
cana-5933	474	80	)	)	PUNCT
cana-5933	474	81	𝜋22(x)+	𝜋22(x)+	NOUN
cana-5933	474	82	𝜃22(y)+	𝜃22(y)+	VERB
cana-5933	474	83	1−	1−	NUM
cana-5933	474	84	𝜋22(x)+1−𝜃22(y	𝜋22(x)+1−𝜃22(y	PROPN
cana-5933	474	85	)	)	PUNCT
cana-5933	474	86	,	,	PUNCT
cana-5933	474	87	1−	1−	NUM
cana-5933	474	88	𝜋22(x)+	𝜋22(x)+	NOUN
cana-5933	474	89	1−𝜃22(y	1−𝜃22(y	NUM
cana-5933	474	90	)	)	PUNCT
cana-5933	474	91	𝜋22(x)+	𝜋22(x)+	NOUN
cana-5933	474	92	𝜃22(y)+	𝜃22(y)+	VERB
cana-5933	474	93	1−	1−	NUM
cana-5933	474	94	𝜋22(x)+	𝜋22(x)+	NOUN
cana-5933	474	95	1−𝜃22(y	1−𝜃22(y	NUM
cana-5933	474	96	)	)	PUNCT
cana-5933	474	97	}	}	PUNCT
cana-5933	474	98	𝑋23=	𝑋23=	NOUN
cana-5933	474	99	{	{	PUNCT
cana-5933	474	100	𝜋23(x)+	𝜋23(x)+	X
cana-5933	474	101	𝜃32(y	𝜃32(y	NOUN
cana-5933	474	102	)	)	PUNCT
cana-5933	474	103	𝜋23(x)+	𝜋23(x)+	X
cana-5933	474	104	𝜃32(y)+	𝜃32(y)+	VERB
cana-5933	474	105	1−	1−	NUM
cana-5933	474	106	𝜋23(x)+1−𝜃32(y	𝜋23(x)+1−𝜃32(y	PROPN
cana-5933	474	107	)	)	PUNCT
cana-5933	474	108	,	,	PUNCT
cana-5933	474	109	1−	1−	NUM
cana-5933	474	110	𝜋23(x)+	𝜋23(x)+	ADP
cana-5933	474	111	1−𝜃32(y	1−𝜃32(y	NUM
cana-5933	474	112	)	)	PUNCT
cana-5933	474	113	𝜋23(x)+	𝜋23(x)+	X
cana-5933	474	114	𝜃32(y)+	𝜃32(y)+	VERB
cana-5933	474	115	1−	1−	NUM
cana-5933	474	116	𝜋23(x)+	𝜋23(x)+	ADP
cana-5933	474	117	1−𝜃32(y	1−𝜃32(y	NUM
cana-5933	474	118	)	)	PUNCT
cana-5933	474	119	}	}	PUNCT
cana-5933	474	120	𝑋31=	𝑋31=	X
cana-5933	474	121	{	{	PUNCT
cana-5933	474	122	𝜋31(x)+	𝜋31(x)+	NOUN
cana-5933	474	123	𝜃13(y	𝜃13(y	NOUN
cana-5933	474	124	)	)	PUNCT
cana-5933	474	125	𝜋31(x)+	𝜋31(x)+	NOUN
cana-5933	474	126	𝜃13(y)+	𝜃13(y)+	NOUN
cana-5933	474	127	1−	1−	NUM
cana-5933	474	128	𝜋31(x)+1−𝜃13(y	𝜋31(x)+1−𝜃13(y	NUM
cana-5933	474	129	)	)	PUNCT
cana-5933	474	130	,	,	PUNCT
cana-5933	475	1	1−	1−	NUM
cana-5933	475	2	𝜋31(x)+	𝜋31(x)+	PROPN
cana-5933	475	3	1−𝜃13(y	1−𝜃13(y	NUM
cana-5933	475	4	)	)	PUNCT
cana-5933	475	5	𝜋31(x)+	𝜋31(x)+	NOUN
cana-5933	475	6	𝜃13(y)+	𝜃13(y)+	NOUN
cana-5933	475	7	1−	1−	NUM
cana-5933	475	8	𝜋31(x)+	𝜋31(x)+	PROPN
cana-5933	475	9	1−𝜃13(y	1−𝜃13(y	NUM
cana-5933	475	10	)	)	PUNCT
cana-5933	475	11	}	}	PUNCT
cana-5933	475	12	𝑋32=	𝑋32=	NOUN
cana-5933	475	13	{	{	PUNCT
cana-5933	475	14	𝜋32(x)+	𝜋32(x)+	VERB
cana-5933	475	15	𝜃23(y	𝜃23(y	NOUN
cana-5933	475	16	)	)	PUNCT
cana-5933	475	17	𝜋32(x)+	𝜋32(x)+	NOUN
cana-5933	475	18	𝜃23(y)+	𝜃23(y)+	NOUN
cana-5933	475	19	1−	1−	NUM
cana-5933	475	20	𝜋32(x)+1−𝜃23(y	𝜋32(x)+1−𝜃23(y	PROPN
cana-5933	475	21	)	)	PUNCT
cana-5933	475	22	,	,	PUNCT
cana-5933	475	23	1−	1−	NUM
cana-5933	475	24	𝜋32(x)+	𝜋32(x)+	NOUN
cana-5933	475	25	1−𝜃23(y	1−𝜃23(y	NUM
cana-5933	475	26	)	)	PUNCT
cana-5933	475	27	𝜋32(x)+	𝜋32(x)+	NOUN
cana-5933	475	28	𝜃23(y)+	𝜃23(y)+	X
cana-5933	475	29	1−	1−	NUM
cana-5933	475	30	𝜋32(x)+	𝜋32(x)+	NOUN
cana-5933	475	31	1−𝜃23(y	1−𝜃23(y	NUM
cana-5933	475	32	)	)	PUNCT
cana-5933	475	33	}	}	PUNCT
cana-5933	475	34	𝑋33=	𝑋33=	NOUN
cana-5933	475	35	{	{	PUNCT
cana-5933	475	36	𝜋33(x)+	𝜋33(x)+	NOUN
cana-5933	475	37	𝜃33(y	𝜃33(y	NOUN
cana-5933	475	38	)	)	PUNCT
cana-5933	475	39	𝜋33(x)+	𝜋33(x)+	NOUN
cana-5933	475	40	𝜃33(y)+	𝜃33(y)+	VERB
cana-5933	475	41	1−	1−	NUM
cana-5933	475	42	𝜋33(x)+1−𝜃33(y	𝜋33(x)+1−𝜃33(y	PROPN
cana-5933	475	43	)	)	PUNCT
cana-5933	475	44	,	,	PUNCT
cana-5933	475	45	1−	1−	NUM
cana-5933	475	46	𝜋33(x)+	𝜋33(x)+	NOUN
cana-5933	475	47	1−𝜃33(y	1−𝜃33(y	NUM
cana-5933	475	48	)	)	PUNCT
cana-5933	475	49	𝜋33(x)+	𝜋33(x)+	NOUN
cana-5933	475	50	𝜃33(y)+	𝜃33(y)+	VERB
cana-5933	475	51	1−	1−	NUM
cana-5933	475	52	𝜋33(x)+	𝜋33(x)+	NOUN
cana-5933	475	53	1−𝜃33(y	1−𝜃33(y	NUM
cana-5933	475	54	)	)	PUNCT
cana-5933	475	55	}	}	PUNCT
cana-5933	475	56	we	we	PRON
cana-5933	475	57	have	have	VERB
cana-5933	475	58	,	,	PUNCT
cana-5933	475	59	𝐴𝐸	𝐴𝐸	PROPN
cana-5933	475	60	̅̅̅̅	̅̅̅̅	ADJ
cana-5933	475	61			NOUN
cana-5933	475	62	𝐵𝐹	𝐵𝐹	NUM
cana-5933	476	1	̅̅̅̅	̅̅̅̅	NOUN
cana-5933	476	2	=	=	X
cana-5933	476	3	(	(	PUNCT
cana-5933	476	4	𝑋11	𝑋11	PROPN
cana-5933	476	5	𝑋12	𝑋12	PROPN
cana-5933	476	6	𝑋13	𝑋13	PROPN
cana-5933	477	1	𝑋21	𝑋21	PROPN
cana-5933	477	2	𝑋22	𝑋22	VERB
cana-5933	477	3	𝑋23	𝑋23	PROPN
cana-5933	477	4	𝑋31	𝑋31	PROPN
cana-5933	477	5	𝑋32	𝑋32	PROPN
cana-5933	477	6	𝑋33	𝑋33	PROPN
cana-5933	477	7	)	)	PUNCT
cana-5933	477	8	is	be	AUX
cana-5933	477	9	also	also	ADV
cana-5933	477	10	intuitionistic	intuitionistic	ADJ
cana-5933	477	11	fuzzy	fuzzy	ADJ
cana-5933	477	12	refrences	refrence	NOUN
cana-5933	478	1	[	[	X
cana-5933	478	2	1	1	NUM
cana-5933	478	3	]	]	PUNCT
cana-5933	478	4	.	.	PUNCT
cana-5933	479	1	afshar	afshar	ADJ
cana-5933	479	2	alam	alam	PROPN
cana-5933	479	3	and	and	CCONJ
cana-5933	479	4	sharfuddin	sharfuddin	VERB
cana-5933	479	5	ahmad	ahmad	NOUN
cana-5933	479	6	,	,	PUNCT
cana-5933	479	7	normalization	normalization	NOUN
cana-5933	479	8	of	of	ADP
cana-5933	479	9	intuitionistic	intuitionistic	ADJ
cana-5933	479	10	fuzzy	fuzzy	ADJ
cana-5933	479	11	relational	relational	ADJ
cana-5933	479	12	databases	database	NOUN
cana-5933	479	13	,	,	PUNCT
cana-5933	479	14	nifs	nif	NOUN
cana-5933	479	15	,	,	PUNCT
cana-5933	479	16	2004	2004	NUM
cana-5933	479	17	.	.	PUNCT
cana-5933	480	1	[	[	X
cana-5933	480	2	2	2	NUM
cana-5933	480	3	]	]	PUNCT
cana-5933	480	4	.	.	PUNCT
cana-5933	481	1	alpana	alpana	PROPN
cana-5933	481	2	sharma	sharma	PROPN
cana-5933	481	3	,	,	PUNCT
cana-5933	481	4	fuzzy	fuzzy	ADJ
cana-5933	481	5	logic	logic	NOUN
cana-5933	481	6	and	and	CCONJ
cana-5933	481	7	its	its	PRON
cana-5933	481	8	application	application	NOUN
cana-5933	481	9	in	in	ADP
cana-5933	481	10	real	real	ADJ
cana-5933	481	11	life	life	NOUN
cana-5933	481	12	,	,	PUNCT
cana-5933	481	13	ugc	ugc	PROPN
cana-5933	481	14	consortium	consortium	NOUN
cana-5933	481	15	for	for	ADP
cana-5933	481	16	academic	academic	ADJ
cana-5933	481	17	and	and	CCONJ
cana-5933	481	18	research	research	NOUN
cana-5933	481	19	ethics	ethic	NOUN
cana-5933	481	20	,	,	PUNCT
cana-5933	481	21	2020	2020	NUM
cana-5933	481	22	.	.	PUNCT
cana-5933	482	1	[	[	X
cana-5933	482	2	3	3	NUM
cana-5933	482	3	]	]	PUNCT
cana-5933	482	4	.	.	PUNCT
cana-5933	483	1	amrita	amrita	PROPN
cana-5933	483	2	sarkar	sarkar	PROPN
cana-5933	483	3	and	and	CCONJ
cana-5933	483	4	u.	u.	PROPN
cana-5933	483	5	c.	c.	PROPN
cana-5933	483	6	sahoo	sahoo	PROPN
cana-5933	483	7	,	,	PUNCT
cana-5933	483	8	application	application	NOUN
cana-5933	483	9	of	of	ADP
cana-5933	483	10	fuzzy	fuzzy	ADJ
cana-5933	483	11	logic	logic	NOUN
cana-5933	483	12	in	in	ADP
cana-5933	483	13	transport	transport	NOUN
cana-5933	483	14	planning	planning	NOUN
cana-5933	483	15	,	,	PUNCT
cana-5933	483	16	international	international	ADJ
cana-5933	483	17	journal	journal	NOUN
cana-5933	483	18	on	on	ADP
cana-5933	483	19	soft	soft	ADJ
cana-5933	483	20	computing	computing	NOUN
cana-5933	483	21	,	,	PUNCT
cana-5933	483	22	2012	2012	NUM
cana-5933	483	23	.	.	PUNCT
cana-5933	484	1	[	[	X
cana-5933	484	2	4	4	NUM
cana-5933	484	3	]	]	PUNCT
cana-5933	484	4	.	.	PUNCT
cana-5933	484	5	i.	i.	PROPN
cana-5933	484	6	m.	m.	PROPN
cana-5933	484	7	adamu	adamu	PROPN
cana-5933	484	8	,	,	PUNCT
cana-5933	484	9	application	application	NOUN
cana-5933	484	10	of	of	ADP
cana-5933	484	11	intuitionistic	intuitionistic	ADJ
cana-5933	484	12	fuzzy	fuzzy	ADJ
cana-5933	484	13	sets	set	NOUN
cana-5933	484	14	to	to	ADP
cana-5933	484	15	environmental	environmental	ADJ
cana-5933	484	16	management	management	NOUN
cana-5933	484	17	,	,	PUNCT
cana-5933	484	18	international	international	ADJ
cana-5933	484	19	standard	standard	ADJ
cana-5933	484	20	serial	serial	ADJ
cana-5933	484	21	number	number	NOUN
cana-5933	484	22	,	,	PUNCT
cana-5933	484	23	2021	2021	NUM
cana-5933	484	24	.	.	PUNCT
cana-5933	485	1	[	[	X
cana-5933	485	2	5	5	NUM
cana-5933	485	3	]	]	PUNCT
cana-5933	485	4	.	.	PUNCT
cana-5933	485	5	m.	m.	NOUN
cana-5933	485	6	asghari	asghari	ADJ
cana-5933	485	7	-	-	PUNCT
cana-5933	485	8	larimi	larimi	ADJ
cana-5933	485	9	,	,	PUNCT
cana-5933	485	10	upper	upper	ADJ
cana-5933	485	11	and	and	CCONJ
cana-5933	485	12	lower	low	ADJ
cana-5933	485	13	(	(	PUNCT
cana-5933	485	14	α	α	NOUN
cana-5933	485	15	,	,	PUNCT
cana-5933	485	16	β	β	NOUN
cana-5933	485	17	)	)	PUNCT
cana-5933	485	18	intuitionistic	intuitionistic	ADJ
cana-5933	485	19	fuzzy	fuzzy	ADJ
cana-5933	485	20	set	set	NOUN
cana-5933	485	21	,	,	PUNCT
cana-5933	485	22	international	international	PROPN
cana-5933	485	23	mathematical	mathematical	ADJ
cana-5933	485	24	forum	forum	PROPN
cana-5933	485	25	,	,	PUNCT
cana-5933	485	26	2012	2012	NUM
cana-5933	485	27	.	.	PUNCT
cana-5933	486	1	[	[	X
cana-5933	486	2	6	6	NUM
cana-5933	486	3	]	]	PUNCT
cana-5933	486	4	.	.	PUNCT
cana-5933	487	1	cengiz	cengiz	PROPN
cana-5933	487	2	kahraman	kahraman	PROPN
cana-5933	487	3	,	,	PUNCT
cana-5933	487	4	murat	murat	PROPN
cana-5933	487	5	gulbay	gulbay	PROPN
cana-5933	487	6	and	and	CCONJ
cana-5933	487	7	ozgur	ozgur	PROPN
cana-5933	487	8	kabak	kabak	PROPN
cana-5933	487	9	,	,	PUNCT
cana-5933	487	10	applications	application	NOUN
cana-5933	487	11	of	of	ADP
cana-5933	487	12	fuzzy	fuzzy	ADJ
cana-5933	487	13	sets	set	NOUN
cana-5933	487	14	in	in	ADP
cana-5933	487	15	industrial	industrial	ADJ
cana-5933	487	16	engineering	engineering	NOUN
cana-5933	487	17	:	:	PUNCT
cana-5933	487	18	a	a	DET
cana-5933	487	19	topical	topical	ADJ
cana-5933	487	20	classification	classification	NOUN
cana-5933	487	21	,	,	PUNCT
cana-5933	487	22	verlag	verlag	PROPN
cana-5933	487	23	berlin	berlin	PROPN
cana-5933	487	24	heidelberg	heidelberg	PROPN
cana-5933	487	25	,	,	PUNCT
cana-5933	487	26	2006	2006	NUM
cana-5933	487	27	.	.	PUNCT
cana-5933	488	1	[	[	X
cana-5933	488	2	7	7	NUM
cana-5933	488	3	]	]	PUNCT
cana-5933	488	4	.	.	PUNCT
cana-5933	489	1	christophe	christophe	PROPN
cana-5933	489	2	marsala	marsala	PROPN
cana-5933	489	3	,	,	PUNCT
cana-5933	489	4	building	build	VERB
cana-5933	489	5	intuitionistic	intuitionistic	ADJ
cana-5933	489	6	fuzzy	fuzzy	ADJ
cana-5933	489	7	sets	set	NOUN
cana-5933	489	8	in	in	ADP
cana-5933	489	9	machine	machine	NOUN
cana-5933	489	10	learning	learning	PROPN
cana-5933	489	11	,	,	PUNCT
cana-5933	489	12	sorbonne	sorbonne	PROPN
cana-5933	489	13	university	university	PROPN
cana-5933	489	14	,	,	PUNCT
cana-5933	489	15	2021	2021	NUM
cana-5933	489	16	.	.	PUNCT
cana-5933	490	1	[	[	X
cana-5933	490	2	8	8	NUM
cana-5933	490	3	]	]	PUNCT
cana-5933	490	4	.	.	PUNCT
cana-5933	491	1	n.	n.	PROPN
cana-5933	491	2	deva	deva	PROPN
cana-5933	491	3	and	and	CCONJ
cana-5933	491	4	a.	a.	NOUN
cana-5933	491	5	felix	felix	PROPN
cana-5933	491	6	,	,	PUNCT
cana-5933	491	7	bipolar	bipolar	ADJ
cana-5933	491	8	intuitionistic	intuitionistic	ADJ
cana-5933	491	9	fuzzy	fuzzy	ADJ
cana-5933	491	10	matrices	matrix	NOUN
cana-5933	491	11	and	and	CCONJ
cana-5933	491	12	its	its	PRON
cana-5933	491	13	determinant	determinant	ADJ
cana-5933	491	14	,	,	PUNCT
cana-5933	491	15	turkish	turkish	ADJ
cana-5933	491	16	world	world	PROPN
cana-5933	491	17	mathematical	mathematical	ADJ
cana-5933	491	18	society	society	PROPN
cana-5933	491	19	j.	j.	PROPN
cana-5933	491	20	app	app	PROPN
cana-5933	491	21	,	,	PUNCT
cana-5933	491	22	2024	2024	NUM
cana-5933	491	23	.	.	PUNCT
cana-5933	492	1	[	[	X
cana-5933	492	2	9	9	NUM
cana-5933	492	3	]	]	PUNCT
cana-5933	492	4	.	.	PUNCT
cana-5933	492	5	a.	a.	PROPN
cana-5933	492	6	de	de	PROPN
cana-5933	492	7	luca	luca	PROPN
cana-5933	492	8	and	and	CCONJ
cana-5933	492	9	s.	s.	PROPN
cana-5933	492	10	termini	termini	PROPN
cana-5933	492	11	,	,	PUNCT
cana-5933	492	12	algebraic	algebraic	ADJ
cana-5933	492	13	properties	property	NOUN
cana-5933	492	14	of	of	ADP
cana-5933	492	15	fuzzy	fuzzy	ADJ
cana-5933	492	16	sets	set	NOUN
cana-5933	492	17	,	,	PUNCT
cana-5933	492	18	journal	journal	NOUN
cana-5933	492	19	of	of	ADP
cana-5933	492	20	mathematical	mathematical	ADJ
cana-5933	492	21	analysis	analysis	NOUN
cana-5933	492	22	and	and	CCONJ
cana-5933	492	23	applications	application	NOUN
cana-5933	492	24	,	,	PUNCT
cana-5933	492	25	1972	1972	NUM
cana-5933	492	26	.	.	PUNCT
cana-5933	493	1	[	[	X
cana-5933	493	2	10	10	NUM
cana-5933	493	3	]	]	PUNCT
cana-5933	493	4	.	.	PUNCT
cana-5933	494	1	p.	p.	NOUN
cana-5933	494	2	a.	a.	NOUN
cana-5933	494	3	ejegwa	ejegwa	PROPN
cana-5933	494	4	and	and	CCONJ
cana-5933	494	5	s.o	s.o	PROPN
cana-5933	494	6	.	.	PROPN
cana-5933	494	7	akowe	akowe	PROPN
cana-5933	494	8	,	,	PUNCT
cana-5933	494	9	an	an	DET
cana-5933	494	10	overview	overview	NOUN
cana-5933	494	11	on	on	ADP
cana-5933	494	12	intuitionistic	intuitionistic	ADJ
cana-5933	494	13	fuzzy	fuzzy	ADJ
cana-5933	494	14	sets	set	NOUN
cana-5933	494	15	,	,	PUNCT
cana-5933	494	16	international	international	ADJ
cana-5933	494	17	journal	journal	NOUN
cana-5933	494	18	of	of	ADP
cana-5933	494	19	scientific	scientific	PROPN
cana-5933	494	20	&	&	CCONJ
cana-5933	494	21	technology	technology	PROPN
cana-5933	494	22	research	research	NOUN
cana-5933	494	23	,	,	PUNCT
cana-5933	494	24	2014	2014	NUM
cana-5933	494	25	.	.	PUNCT
cana-5933	495	1	[	[	X
cana-5933	495	2	11	11	NUM
cana-5933	495	3	]	]	PUNCT
cana-5933	495	4	.	.	PUNCT
cana-5933	496	1	p.	p.	NOUN
cana-5933	496	2	a.	a.	NOUN
cana-5933	496	3	ejegwa	ejegwa	PROPN
cana-5933	496	4	,	,	PUNCT
cana-5933	496	5	a.	a.	PROPN
cana-5933	496	6	j.	j.	PROPN
cana-5933	496	7	akubo	akubo	PROPN
cana-5933	496	8	and	and	CCONJ
cana-5933	496	9	o.	o.	PROPN
cana-5933	496	10	m.	m.	PROPN
cana-5933	496	11	joshua	joshua	PROPN
cana-5933	496	12	,	,	PUNCT
cana-5933	496	13	intuitionistic	intuitionistic	ADJ
cana-5933	496	14	fuzzy	fuzzy	ADJ
cana-5933	496	15	set	set	NOUN
cana-5933	496	16	and	and	CCONJ
cana-5933	496	17	its	its	PRON
cana-5933	496	18	application	application	NOUN
cana-5933	496	19	in	in	ADP
cana-5933	496	20	career	career	NOUN
cana-5933	496	21	determination	determination	NOUN
cana-5933	496	22	via	via	ADP
cana-5933	496	23	normalized	normalize	VERB
cana-5933	496	24	euclidean	euclidean	ADJ
cana-5933	496	25	distance	distance	NOUN
cana-5933	496	26	method	method	NOUN
cana-5933	496	27	,	,	PUNCT
cana-5933	496	28	2014	2014	NUM
cana-5933	496	29	.	.	PUNCT
cana-5933	497	1	communications	communication	NOUN
cana-5933	497	2	on	on	ADP
cana-5933	497	3	applied	apply	VERB
cana-5933	497	4	nonlinear	nonlinear	ADJ
cana-5933	497	5	analysis	analysis	NOUN
cana-5933	497	6	issn	issn	NOUN
cana-5933	497	7	:	:	PUNCT
cana-5933	497	8	1074	1074	NUM
cana-5933	497	9	-	-	PUNCT
cana-5933	497	10	133x	133x	NUM
cana-5933	497	11	vol	vol	VERB
cana-5933	497	12	32	32	NUM
cana-5933	497	13	no	no	NOUN
cana-5933	497	14	.	.	PUNCT
cana-5933	498	1	10s	10	NOUN
cana-5933	498	2	(	(	PUNCT
cana-5933	498	3	2025	2025	NUM
cana-5933	498	4	)	)	PUNCT
cana-5933	498	5	3158	3158	NUM
cana-5933	498	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	499	1	[	[	X
cana-5933	499	2	12	12	NUM
cana-5933	499	3	]	]	PUNCT
cana-5933	499	4	.	.	PUNCT
cana-5933	500	1	p.	p.	NOUN
cana-5933	500	2	a.	a.	NOUN
cana-5933	500	3	ejegwa	ejegwa	PROPN
cana-5933	500	4	,	,	PUNCT
cana-5933	500	5	intuitionistic	intuitionistic	ADJ
cana-5933	500	6	fuzzy	fuzzy	ADJ
cana-5933	500	7	sets	set	NOUN
cana-5933	500	8	approach	approach	NOUN
cana-5933	500	9	in	in	ADP
cana-5933	500	10	appointment	appointment	NOUN
cana-5933	500	11	of	of	ADP
cana-5933	500	12	positions	position	NOUN
cana-5933	500	13	in	in	ADP
cana-5933	500	14	an	an	DET
cana-5933	500	15	organization	organization	NOUN
cana-5933	500	16	via	via	ADP
cana-5933	500	17	max	max	PROPN
cana-5933	500	18	-	-	PUNCT
cana-5933	500	19	min	min	PROPN
cana-5933	500	20	-	-	ADJ
cana-5933	500	21	max	max	NOUN
cana-5933	500	22	rule	rule	NOUN
cana-5933	500	23	,	,	PUNCT
cana-5933	500	24	global	global	ADJ
cana-5933	500	25	journal	journal	NOUN
cana-5933	500	26	of	of	ADP
cana-5933	500	27	science	science	PROPN
cana-5933	500	28	frontier	frontier	NOUN
cana-5933	500	29	research	research	NOUN
cana-5933	500	30	,	,	PUNCT
cana-5933	500	31	2015	2015	NUM
cana-5933	500	32	.	.	PUNCT
cana-5933	501	1	[	[	X
cana-5933	501	2	13	13	NUM
cana-5933	501	3	]	]	PUNCT
cana-5933	501	4	.	.	PUNCT
cana-5933	502	1	florentin	florentin	PROPN
cana-5933	502	2	smarandache	smarandache	PROPN
cana-5933	502	3	,	,	PUNCT
cana-5933	502	4	neutrosophic	neutrosophic	PROPN
cana-5933	502	5	set	set	VERB
cana-5933	502	6	–	–	PUNCT
cana-5933	502	7	a	a	DET
cana-5933	502	8	generalization	generalization	NOUN
cana-5933	502	9	of	of	ADP
cana-5933	502	10	the	the	DET
cana-5933	502	11	intuitionistic	intuitionistic	ADJ
cana-5933	502	12	fuzzy	fuzzy	ADJ
cana-5933	502	13	set	set	NOUN
cana-5933	502	14	,	,	PUNCT
cana-5933	502	15	journal	journal	NOUN
cana-5933	502	16	of	of	ADP
cana-5933	502	17	defense	defense	PROPN
cana-5933	502	18	resources	resource	NOUN
cana-5933	502	19	management	management	NOUN
cana-5933	502	20	,	,	PUNCT
cana-5933	502	21	2010	2010	NUM
cana-5933	502	22	.	.	PUNCT
cana-5933	503	1	[	[	X
cana-5933	503	2	14	14	NUM
cana-5933	503	3	]	]	PUNCT
cana-5933	503	4	.	.	PUNCT
cana-5933	504	1	harpreet	harpreet	PROPN
cana-5933	504	2	singh	singh	PROPN
cana-5933	504	3	,	,	PUNCT
cana-5933	504	4	madan	madan	PROPN
cana-5933	504	5	m.	m.	PROPN
cana-5933	504	6	gupta	gupta	PROPN
cana-5933	504	7	and	and	CCONJ
cana-5933	504	8	thomas	thomas	PROPN
cana-5933	504	9	meitzler	meitzler	PROPN
cana-5933	504	10	,	,	PUNCT
cana-5933	504	11	real	real	ADJ
cana-5933	504	12	-	-	PUNCT
cana-5933	504	13	life	life	NOUN
cana-5933	504	14	applications	application	NOUN
cana-5933	504	15	of	of	ADP
cana-5933	504	16	fuzzy	fuzzy	ADJ
cana-5933	504	17	logic	logic	NOUN
cana-5933	504	18	,	,	PUNCT
cana-5933	504	19	advances	advance	NOUN
cana-5933	504	20	in	in	ADP
cana-5933	504	21	fuzzy	fuzzy	ADJ
cana-5933	504	22	systems	system	NOUN
cana-5933	504	23	,	,	PUNCT
cana-5933	504	24	2013	2013	NUM
cana-5933	504	25	.	.	PUNCT
cana-5933	505	1	[	[	X
cana-5933	505	2	15	15	NUM
cana-5933	505	3	]	]	PUNCT
cana-5933	505	4	.	.	PUNCT
cana-5933	506	1	hemlata	hemlata	PROPN
cana-5933	506	2	aggarwal	aggarwal	PROPN
cana-5933	506	3	and	and	CCONJ
cana-5933	506	4	h.d	h.d	PROPN
cana-5933	506	5	.	.	PROPN
cana-5933	506	6	arora	arora	PROPN
cana-5933	506	7	,	,	PUNCT
cana-5933	506	8	a	a	DET
cana-5933	506	9	decision	decision	NOUN
cana-5933	506	10	-	-	PUNCT
cana-5933	506	11	making	make	VERB
cana-5933	506	12	problem	problem	NOUN
cana-5933	506	13	as	as	ADP
cana-5933	506	14	an	an	DET
cana-5933	506	15	applications	application	NOUN
cana-5933	506	16	of	of	ADP
cana-5933	506	17	intuitionistic	intuitionistic	ADJ
cana-5933	506	18	fuzzy	fuzzy	ADJ
cana-5933	506	19	set	set	NOUN
cana-5933	506	20	,	,	PUNCT
cana-5933	506	21	international	international	ADJ
cana-5933	506	22	journal	journal	NOUN
cana-5933	506	23	of	of	ADP
cana-5933	506	24	engineering	engineering	NOUN
cana-5933	506	25	and	and	CCONJ
cana-5933	506	26	advanced	advanced	ADJ
cana-5933	506	27	technology	technology	NOUN
cana-5933	506	28	,	,	PUNCT
cana-5933	506	29	2019	2019	NUM
cana-5933	506	30	.	.	PUNCT
cana-5933	507	1	[	[	X
cana-5933	507	2	16	16	NUM
cana-5933	507	3	]	]	PUNCT
cana-5933	507	4	.	.	PUNCT
cana-5933	508	1	p.	p.	NOUN
cana-5933	508	2	jenita	jenita	PROPN
cana-5933	508	3	and	and	CCONJ
cana-5933	508	4	e.	e.	PROPN
cana-5933	508	5	karuppusamy	karuppusamy	PROPN
cana-5933	508	6	,	,	PUNCT
cana-5933	508	7	fuzzy	fuzzy	ADJ
cana-5933	508	8	relational	relational	ADJ
cana-5933	508	9	equations	equation	NOUN
cana-5933	508	10	of	of	ADP
cana-5933	508	11	k	k	PROPN
cana-5933	508	12	regular	regular	ADJ
cana-5933	508	13	intuitionistic	intuitionistic	ADJ
cana-5933	508	14	fuzzy	fuzzy	ADJ
cana-5933	508	15	and	and	CCONJ
cana-5933	508	16	block	block	VERB
cana-5933	508	17	fuzzy	fuzzy	ADJ
cana-5933	508	18	matrices	matrix	NOUN
cana-5933	508	19	,	,	PUNCT
cana-5933	508	20	advances	advance	NOUN
cana-5933	508	21	in	in	ADP
cana-5933	508	22	research	research	NOUN
cana-5933	508	23	,	,	PUNCT
cana-5933	508	24	2017	2017	NUM
cana-5933	508	25	.	.	PUNCT
cana-5933	509	1	[	[	X
cana-5933	509	2	17	17	NUM
cana-5933	509	3	]	]	PUNCT
cana-5933	509	4	.	.	PUNCT
cana-5933	510	1	jeevaraj	jeevaraj	PROPN
cana-5933	510	2	selvaraj	selvaraj	PROPN
cana-5933	510	3	,	,	PUNCT
cana-5933	510	4	and	and	CCONJ
cana-5933	510	5	abhijit	abhijit	PROPN
cana-5933	510	6	majumdar	majumdar	PROPN
cana-5933	510	7	,	,	PUNCT
cana-5933	510	8	a	a	DET
cana-5933	510	9	new	new	ADJ
cana-5933	510	10	ranking	ranking	NOUN
cana-5933	510	11	method	method	NOUN
cana-5933	510	12	for	for	ADP
cana-5933	510	13	interval	interval	NOUN
cana-5933	510	14	-	-	PUNCT
cana-5933	510	15	valued	value	VERB
cana-5933	510	16	intuitionistic	intuitionistic	ADJ
cana-5933	510	17	fuzzy	fuzzy	ADJ
cana-5933	510	18	numbers	number	NOUN
cana-5933	510	19	and	and	CCONJ
cana-5933	510	20	its	its	PRON
cana-5933	510	21	application	application	NOUN
cana-5933	510	22	in	in	ADP
cana-5933	510	23	multi	multi	ADJ
cana-5933	510	24	-	-	ADJ
cana-5933	510	25	criteria	criterion	NOUN
cana-5933	510	26	decision	decision	NOUN
cana-5933	510	27	-	-	PUNCT
cana-5933	510	28	making	making	NOUN
cana-5933	510	29	,	,	PUNCT
cana-5933	510	30	multidisciplinary	multidisciplinary	ADJ
cana-5933	510	31	digital	digital	PROPN
cana-5933	510	32	publishing	publishing	PROPN
cana-5933	510	33	institute	institute	NOUN
cana-5933	510	34	stays	stay	VERB
cana-5933	510	35	neutral	neutral	ADJ
cana-5933	510	36	with	with	ADP
cana-5933	510	37	regard	regard	NOUN
cana-5933	510	38	to	to	ADP
cana-5933	510	39	jurisdictional	jurisdictional	ADJ
cana-5933	510	40	claims	claim	NOUN
cana-5933	510	41	in	in	ADP
cana-5933	510	42	published	publish	VERB
cana-5933	510	43	maps	map	NOUN
cana-5933	510	44	and	and	CCONJ
cana-5933	510	45	institutional	institutional	ADJ
cana-5933	510	46	affiliations	affiliation	NOUN
cana-5933	510	47	,	,	PUNCT
cana-5933	510	48	2021	2021	NUM
cana-5933	510	49	.	.	PUNCT
cana-5933	511	1	[	[	X
cana-5933	511	2	18	18	NUM
cana-5933	511	3	]	]	PUNCT
cana-5933	511	4	.	.	PUNCT
cana-5933	512	1	javaid	javaid	PROPN
cana-5933	512	2	ahmad	ahmad	PROPN
cana-5933	512	3	shah	shah	PROPN
cana-5933	512	4	,	,	PUNCT
cana-5933	512	5	fuzzy	fuzzy	ADJ
cana-5933	512	6	matrix	matrix	NOUN
cana-5933	512	7	theory	theory	NOUN
cana-5933	512	8	based	base	VERB
cana-5933	512	9	decision	decision	NOUN
cana-5933	512	10	making	make	VERB
cana-5933	512	11	for	for	ADP
cana-5933	512	12	machine	machine	NOUN
cana-5933	512	13	learning	learning	NOUN
cana-5933	512	14	,	,	PUNCT
cana-5933	512	15	journal	journal	NOUN
cana-5933	512	16	of	of	ADP
cana-5933	512	17	engineering	engineering	NOUN
cana-5933	512	18	research	research	NOUN
cana-5933	512	19	and	and	CCONJ
cana-5933	512	20	sciences	science	NOUN
cana-5933	512	21	,	,	PUNCT
cana-5933	512	22	2022	2022	NUM
cana-5933	512	23	.	.	PUNCT
cana-5933	513	1	[	[	X
cana-5933	513	2	19	19	NUM
cana-5933	513	3	]	]	PUNCT
cana-5933	513	4	.	.	PUNCT
cana-5933	514	1	krassimir	krassimir	PROPN
cana-5933	514	2	t.	t.	PROPN
cana-5933	514	3	atanassov	atanassov	PROPN
cana-5933	514	4	,	,	PUNCT
cana-5933	514	5	intuitionistic	intuitionistic	ADJ
cana-5933	514	6	fuzzy	fuzzy	ADJ
cana-5933	514	7	set	set	NOUN
cana-5933	514	8	,	,	PUNCT
cana-5933	514	9	fuzzy	fuzzy	ADJ
cana-5933	514	10	sets	set	NOUN
cana-5933	514	11	and	and	CCONJ
cana-5933	514	12	systems	system	NOUN
cana-5933	514	13	,	,	PUNCT
cana-5933	514	14	1986	1986	NUM
cana-5933	514	15	.	.	PUNCT
cana-5933	515	1	[	[	X
cana-5933	515	2	20	20	NUM
cana-5933	515	3	]	]	PUNCT
cana-5933	515	4	.	.	PUNCT
cana-5933	516	1	kwang	kwang	PROPN
cana-5933	516	2	h.	h.	PROPN
cana-5933	516	3	lee	lee	PROPN
cana-5933	516	4	,	,	PUNCT
cana-5933	516	5	first	first	ADJ
cana-5933	516	6	course	course	NOUN
cana-5933	516	7	on	on	ADP
cana-5933	516	8	fuzzy	fuzzy	ADJ
cana-5933	516	9	theory	theory	NOUN
cana-5933	516	10	and	and	CCONJ
cana-5933	516	11	applications	application	NOUN
cana-5933	516	12	,	,	PUNCT
cana-5933	516	13	korea	korea	PROPN
cana-5933	516	14	advanced	advanced	PROPN
cana-5933	516	15	institute	institute	PROPN
cana-5933	516	16	of	of	ADP
cana-5933	516	17	science	science	NOUN
cana-5933	516	18	and	and	CCONJ
cana-5933	516	19	technology	technology	NOUN
cana-5933	516	20	,	,	PUNCT
cana-5933	516	21	2005	2005	NUM
cana-5933	516	22	.	.	PUNCT
cana-5933	517	1	[	[	X
cana-5933	517	2	21	21	NUM
cana-5933	517	3	]	]	PUNCT
cana-5933	517	4	.	.	PUNCT
cana-5933	518	1	krassimir	krassimir	PROPN
cana-5933	518	2	t.	t.	PROPN
cana-5933	518	3	atanassov	atanassov	PROPN
cana-5933	518	4	,	,	PUNCT
cana-5933	518	5	review	review	NOUN
cana-5933	518	6	and	and	CCONJ
cana-5933	518	7	new	new	ADJ
cana-5933	518	8	results	result	NOUN
cana-5933	518	9	on	on	ADP
cana-5933	518	10	intuitionistic	intuitionistic	ADJ
cana-5933	518	11	fuzzy	fuzzy	ADJ
cana-5933	518	12	sets	set	NOUN
cana-5933	518	13	,	,	PUNCT
cana-5933	518	14	international	international	ADJ
cana-5933	518	15	journal	journal	NOUN
cana-5933	518	16	of	of	ADP
cana-5933	518	17	biology	biology	NOUN
cana-5933	518	18	automation	automation	NOUN
cana-5933	518	19	,	,	PUNCT
cana-5933	518	20	2016	2016	NUM
cana-5933	518	21	.	.	PUNCT
cana-5933	519	1	[	[	X
cana-5933	519	2	22	22	NUM
cana-5933	519	3	]	]	PUNCT
cana-5933	519	4	.	.	PUNCT
cana-5933	520	1	krassimir	krassimir	PROPN
cana-5933	520	2	t.	t.	PROPN
cana-5933	520	3	atanassov	atanassov	PROPN
cana-5933	520	4	,	,	PUNCT
cana-5933	520	5	on	on	ADP
cana-5933	520	6	intuitionistic	intuitionistic	ADJ
cana-5933	520	7	fuzzy	fuzzy	ADJ
cana-5933	520	8	sets	set	NOUN
cana-5933	520	9	theory	theory	NOUN
cana-5933	520	10	,	,	PUNCT
cana-5933	520	11	studies	study	NOUN
cana-5933	520	12	in	in	ADP
cana-5933	520	13	fuzziness	fuzziness	NOUN
cana-5933	520	14	and	and	CCONJ
cana-5933	520	15	soft	soft	ADJ
cana-5933	520	16	computing	computing	NOUN
cana-5933	520	17	,	,	PUNCT
cana-5933	520	18	2012	2012	NUM
cana-5933	520	19	.	.	PUNCT
cana-5933	521	1	[	[	X
cana-5933	521	2	23	23	NUM
cana-5933	521	3	]	]	PUNCT
cana-5933	521	4	.	.	PUNCT
cana-5933	521	5	lilija	lilija	PROPN
cana-5933	521	6	atanassova	atanassova	PROPN
cana-5933	521	7	and	and	CCONJ
cana-5933	521	8	piotr	piotr	PROPN
cana-5933	521	9	dworniczak	dworniczak	NOUN
cana-5933	521	10	,	,	PUNCT
cana-5933	521	11	on	on	ADP
cana-5933	521	12	the	the	DET
cana-5933	521	13	operation	operation	NOUN
cana-5933	521	14	over	over	ADP
cana-5933	521	15	intuitionistic	intuitionistic	ADJ
cana-5933	521	16	fuzzy	fuzzy	ADJ
cana-5933	521	17	sets	set	NOUN
cana-5933	521	18	multidisciplinary	multidisciplinary	ADJ
cana-5933	521	19	digital	digital	ADJ
cana-5933	521	20	publishing	publishing	PROPN
cana-5933	521	21	institute	institute	NOUN
cana-5933	521	22	stays	stay	VERB
cana-5933	521	23	neutral	neutral	ADJ
cana-5933	521	24	with	with	ADP
cana-5933	521	25	regard	regard	NOUN
cana-5933	521	26	to	to	ADP
cana-5933	521	27	jurisdictional	jurisdictional	ADJ
cana-5933	521	28	claims	claim	NOUN
cana-5933	521	29	in	in	ADP
cana-5933	521	30	published	publish	VERB
cana-5933	521	31	maps	map	NOUN
cana-5933	521	32	and	and	CCONJ
cana-5933	521	33	institutional	institutional	ADJ
cana-5933	521	34	affiliations	affiliation	NOUN
cana-5933	521	35	,	,	PUNCT
cana-5933	521	36	2021	2021	NUM
cana-5933	521	37	.	.	PUNCT
cana-5933	522	1	[	[	X
cana-5933	522	2	24	24	NUM
cana-5933	522	3	]	]	PUNCT
cana-5933	522	4	.	.	PUNCT
cana-5933	523	1	li	li	PROPN
cana-5933	523	2	yang	yang	PROPN
cana-5933	523	3	,	,	PUNCT
cana-5933	523	4	study	study	VERB
cana-5933	523	5	on	on	ADP
cana-5933	523	6	fuzzy	fuzzy	ADJ
cana-5933	523	7	mathematics	mathematic	NOUN
cana-5933	523	8	and	and	CCONJ
cana-5933	523	9	its	its	PRON
cana-5933	523	10	applications	application	NOUN
cana-5933	523	11	,	,	PUNCT
cana-5933	523	12	advances	advance	NOUN
cana-5933	523	13	in	in	ADP
cana-5933	523	14	mechanical	mechanical	ADJ
cana-5933	523	15	engineering	engineering	NOUN
cana-5933	523	16	and	and	CCONJ
cana-5933	523	17	industrial	industrial	ADJ
cana-5933	523	18	informatics	informatic	NOUN
cana-5933	523	19	,	,	PUNCT
cana-5933	523	20	2016	2016	NUM
cana-5933	523	21	.	.	PUNCT
cana-5933	524	1	[	[	X
cana-5933	524	2	25	25	NUM
cana-5933	524	3	]	]	PUNCT
cana-5933	524	4	.	.	PUNCT
cana-5933	525	1	k.	k.	PROPN
cana-5933	525	2	meena	meena	PROPN
cana-5933	525	3	and	and	CCONJ
cana-5933	525	4	lija	lija	PROPN
cana-5933	525	5	ponnappen	ponnappen	NOUN
cana-5933	525	6	,	,	PUNCT
cana-5933	525	7	an	an	DET
cana-5933	525	8	application	application	NOUN
cana-5933	525	9	of	of	ADP
cana-5933	525	10	intuitionistic	intuitionistic	ADJ
cana-5933	525	11	fuzzy	fuzzy	ADJ
cana-5933	525	12	sets	set	NOUN
cana-5933	525	13	in	in	ADP
cana-5933	525	14	choice	choice	NOUN
cana-5933	525	15	of	of	ADP
cana-5933	525	16	discipline	discipline	NOUN
cana-5933	525	17	of	of	ADP
cana-5933	525	18	study	study	NOUN
cana-5933	525	19	,	,	PUNCT
cana-5933	525	20	global	global	ADJ
cana-5933	525	21	journal	journal	NOUN
cana-5933	525	22	of	of	ADP
cana-5933	525	23	pure	pure	ADJ
cana-5933	525	24	and	and	CCONJ
cana-5933	525	25	applied	applied	ADJ
cana-5933	525	26	mathematics	mathematic	NOUN
cana-5933	525	27	,	,	PUNCT
cana-5933	525	28	2018	2018	NUM
cana-5933	525	29	.	.	PUNCT
cana-5933	526	1	[	[	X
cana-5933	526	2	26	26	NUM
cana-5933	526	3	]	]	PUNCT
cana-5933	526	4	.	.	PUNCT
cana-5933	527	1	madhumangal	madhumangal	ADJ
cana-5933	527	2	pal	pal	NOUN
cana-5933	527	3	,	,	PUNCT
cana-5933	527	4	susanta	susanta	VERB
cana-5933	527	5	khan	khan	PROPN
cana-5933	527	6	and	and	CCONJ
cana-5933	527	7	amiya	amiya	PROPN
cana-5933	527	8	k.	k.	PROPN
cana-5933	528	1	shaymal	shaymal	PROPN
cana-5933	528	2	,	,	PUNCT
cana-5933	528	3	intuitionistic	intuitionistic	ADJ
cana-5933	528	4	fuzzy	fuzzy	ADJ
cana-5933	528	5	matrices	matrix	NOUN
cana-5933	528	6	,	,	PUNCT
cana-5933	528	7	nifs	nif	VERB
cana-5933	528	8	2002	2002	NUM
cana-5933	528	9	.	.	PUNCT
cana-5933	529	1	[	[	X
cana-5933	529	2	27	27	NUM
cana-5933	529	3	]	]	PUNCT
cana-5933	529	4	.	.	PUNCT
cana-5933	530	1	t.	t.	PROPN
cana-5933	530	2	muthuraji	muthuraji	PROPN
cana-5933	530	3	and	and	CCONJ
cana-5933	530	4	k.	k.	PROPN
cana-5933	530	5	lalitha	lalitha	PROPN
cana-5933	530	6	,	,	PUNCT
cana-5933	530	7	some	some	DET
cana-5933	530	8	new	new	ADJ
cana-5933	530	9	operations	operation	NOUN
cana-5933	530	10	and	and	CCONJ
cana-5933	530	11	its	its	PRON
cana-5933	530	12	properties	property	NOUN
cana-5933	530	13	on	on	ADP
cana-5933	530	14	intuitionistic	intuitionistic	ADJ
cana-5933	530	15	fuzzy	fuzzy	ADJ
cana-5933	530	16	matrices	matrix	NOUN
cana-5933	530	17	,	,	PUNCT
cana-5933	530	18	international	international	ADJ
cana-5933	530	19	journal	journal	NOUN
cana-5933	530	20	of	of	ADP
cana-5933	530	21	research	research	NOUN
cana-5933	530	22	and	and	CCONJ
cana-5933	530	23	analytical	analytical	ADJ
cana-5933	530	24	reviews	review	NOUN
cana-5933	530	25	,	,	PUNCT
cana-5933	530	26	2017	2017	NUM
cana-5933	530	27	.	.	PUNCT
cana-5933	531	1	[	[	X
cana-5933	531	2	28	28	NUM
cana-5933	531	3	]	]	PUNCT
cana-5933	531	4	.	.	PUNCT
cana-5933	532	1	mamoni	mamoni	PROPN
cana-5933	532	2	dhar	dhar	PROPN
cana-5933	532	3	,	,	PUNCT
cana-5933	532	4	a	a	DET
cana-5933	532	5	note	note	NOUN
cana-5933	532	6	on	on	ADP
cana-5933	532	7	fuzzy	fuzzy	ADJ
cana-5933	532	8	relational	relational	ADJ
cana-5933	532	9	matrices	matrix	NOUN
cana-5933	532	10	,	,	PUNCT
cana-5933	532	11	i.j	i.j	PROPN
cana-5933	532	12	.	.	NOUN
cana-5933	532	13	intelligent	intelligent	ADJ
cana-5933	532	14	systems	system	NOUN
cana-5933	532	15	and	and	CCONJ
cana-5933	532	16	applications	application	NOUN
cana-5933	532	17	,	,	PUNCT
cana-5933	532	18	2013	2013	NUM
cana-5933	532	19	.	.	PUNCT
cana-5933	533	1	[	[	X
cana-5933	533	2	29	29	NUM
cana-5933	533	3	]	]	PUNCT
cana-5933	533	4	.	.	PUNCT
cana-5933	534	1	madhumangal	madhumangal	ADJ
cana-5933	534	2	pal	pal	NOUN
cana-5933	534	3	and	and	CCONJ
cana-5933	534	4	susanta	susanta	VERB
cana-5933	534	5	k.	k.	PROPN
cana-5933	534	6	khan	khan	PROPN
cana-5933	534	7	,	,	PUNCT
cana-5933	534	8	interval	interval	NOUN
cana-5933	534	9	-	-	PUNCT
cana-5933	534	10	valued	value	VERB
cana-5933	534	11	intuitionistic	intuitionistic	ADJ
cana-5933	534	12	fuzzy	fuzzy	ADJ
cana-5933	534	13	matrices	matrix	NOUN
cana-5933	534	14	,	,	PUNCT
cana-5933	534	15	nifs	nif	NOUN
cana-5933	534	16	,	,	PUNCT
cana-5933	534	17	2005	2005	NUM
cana-5933	534	18	.	.	PUNCT
cana-5933	535	1	[	[	X
cana-5933	535	2	30	30	NUM
cana-5933	535	3	]	]	PUNCT
cana-5933	535	4	.	.	PUNCT
cana-5933	536	1	p.	p.	NOUN
cana-5933	536	2	murugadas	murugadas	PROPN
cana-5933	536	3	,	,	PUNCT
cana-5933	536	4	s.	s.	PROPN
cana-5933	536	5	sriram	sriram	PROPN
cana-5933	536	6	and	and	CCONJ
cana-5933	536	7	t.	t.	PROPN
cana-5933	536	8	muthuraji	muthuraji	PROPN
cana-5933	536	9	,	,	PUNCT
cana-5933	536	10	modal	modal	ADJ
cana-5933	536	11	operators	operator	NOUN
cana-5933	536	12	in	in	ADP
cana-5933	536	13	intuitionistic	intuitionistic	ADJ
cana-5933	536	14	fuzzy	fuzzy	ADJ
cana-5933	536	15	matrices	matrix	NOUN
cana-5933	536	16	,	,	PUNCT
cana-5933	536	17	international	international	ADJ
cana-5933	536	18	journal	journal	NOUN
cana-5933	536	19	of	of	ADP
cana-5933	536	20	computer	computer	NOUN
cana-5933	536	21	applications	application	NOUN
cana-5933	536	22	,	,	PUNCT
cana-5933	536	23	2014	2014	NUM
cana-5933	536	24	.	.	PUNCT
cana-5933	537	1	[	[	X
cana-5933	537	2	31	31	NUM
cana-5933	537	3	]	]	PUNCT
cana-5933	537	4	.	.	PUNCT
cana-5933	538	1	t.	t.	PROPN
cana-5933	538	2	muthuraji	muthuraji	PROPN
cana-5933	538	3	and	and	CCONJ
cana-5933	538	4	s.	s.	PROPN
cana-5933	538	5	sriram	sriram	PROPN
cana-5933	538	6	,	,	PUNCT
cana-5933	538	7	representation	representation	NOUN
cana-5933	538	8	and	and	CCONJ
cana-5933	538	9	decomposition	decomposition	NOUN
cana-5933	538	10	of	of	ADP
cana-5933	538	11	an	an	DET
cana-5933	538	12	intuitionistic	intuitionistic	ADJ
cana-5933	538	13	fuzzy	fuzzy	ADJ
cana-5933	538	14	matrix	matrix	NOUN
cana-5933	538	15	using	use	VERB
cana-5933	538	16	some	some	PRON
cana-5933	538	17	(	(	PUNCT
cana-5933	538	18	α,𝛼′	α,𝛼′	NOUN
cana-5933	538	19	)	)	PUNCT
cana-5933	538	20	cuts	cut	NOUN
cana-5933	538	21	,	,	PUNCT
cana-5933	538	22	applications	application	NOUN
cana-5933	538	23	and	and	CCONJ
cana-5933	538	24	applied	apply	VERB
cana-5933	538	25	mathematics	mathematic	NOUN
cana-5933	538	26	,	,	PUNCT
cana-5933	538	27	2017	2017	NUM
cana-5933	538	28	.	.	PUNCT
cana-5933	539	1	communications	communication	NOUN
cana-5933	539	2	on	on	ADP
cana-5933	539	3	applied	apply	VERB
cana-5933	539	4	nonlinear	nonlinear	ADJ
cana-5933	539	5	analysis	analysis	NOUN
cana-5933	539	6	issn	issn	NOUN
cana-5933	539	7	:	:	PUNCT
cana-5933	539	8	1074	1074	NUM
cana-5933	539	9	-	-	PUNCT
cana-5933	539	10	133x	133x	NUM
cana-5933	539	11	vol	vol	VERB
cana-5933	539	12	32	32	NUM
cana-5933	539	13	no	no	NOUN
cana-5933	539	14	.	.	PUNCT
cana-5933	540	1	10s	10	NOUN
cana-5933	540	2	(	(	PUNCT
cana-5933	540	3	2025	2025	NUM
cana-5933	540	4	)	)	PUNCT
cana-5933	540	5	3159	3159	NUM
cana-5933	540	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5933	541	1	[	[	X
cana-5933	541	2	32	32	NUM
cana-5933	541	3	]	]	PUNCT
cana-5933	541	4	.	.	PUNCT
cana-5933	542	1	j.	j.	PROPN
cana-5933	542	2	s.	s.	PROPN
cana-5933	542	3	prasanna	prasanna	PROPN
cana-5933	542	4	and	and	CCONJ
cana-5933	542	5	k.	k.	PROPN
cana-5933	542	6	saravanan	saravanan	PROPN
cana-5933	542	7	,	,	PUNCT
cana-5933	542	8	applications	application	NOUN
cana-5933	542	9	of	of	ADP
cana-5933	542	10	fuzzy	fuzzy	ADJ
cana-5933	542	11	matrices	matrix	NOUN
cana-5933	542	12	in	in	ADP
cana-5933	542	13	medicine	medicine	NOUN
cana-5933	542	14	,	,	PUNCT
cana-5933	542	15	global	global	ADJ
cana-5933	542	16	journal	journal	NOUN
cana-5933	542	17	of	of	ADP
cana-5933	542	18	pure	pure	ADJ
cana-5933	542	19	and	and	CCONJ
cana-5933	542	20	applied	applied	ADJ
cana-5933	542	21	mathematics	mathematic	NOUN
cana-5933	542	22	,	,	PUNCT
cana-5933	542	23	2016	2016	NUM
cana-5933	542	24	.	.	PUNCT
cana-5933	543	1	[	[	X
cana-5933	543	2	33	33	NUM
cana-5933	543	3	]	]	PUNCT
cana-5933	543	4	.	.	PUNCT
cana-5933	544	1	p.	p.	NOUN
cana-5933	544	2	rajarajeswari	rajarajeswari	PROPN
cana-5933	544	3	and	and	CCONJ
cana-5933	544	4	p.	p.	PROPN
cana-5933	544	5	dhanalakshmi	dhanalakshmi	NOUN
cana-5933	544	6	,	,	PUNCT
cana-5933	544	7	intuitionistic	intuitionistic	ADJ
cana-5933	544	8	fuzzy	fuzzy	ADJ
cana-5933	544	9	soft	soft	ADJ
cana-5933	544	10	matrix	matrix	NOUN
cana-5933	544	11	theory	theory	NOUN
cana-5933	544	12	and	and	CCONJ
cana-5933	544	13	its	its	PRON
cana-5933	544	14	application	application	NOUN
cana-5933	544	15	in	in	ADP
cana-5933	544	16	decision	decision	NOUN
cana-5933	544	17	making	making	NOUN
cana-5933	544	18	,	,	PUNCT
cana-5933	544	19	international	international	ADJ
cana-5933	544	20	journal	journal	NOUN
cana-5933	544	21	of	of	ADP
cana-5933	544	22	engineering	engineering	PROPN
cana-5933	544	23	research	research	PROPN
cana-5933	544	24	&	&	CCONJ
cana-5933	544	25	technology	technology	PROPN
cana-5933	544	26	,	,	PUNCT
cana-5933	544	27	2013	2013	NUM
cana-5933	544	28	.	.	PUNCT
cana-5933	545	1	[	[	X
cana-5933	545	2	34	34	NUM
cana-5933	545	3	]	]	PUNCT
cana-5933	545	4	.	.	PUNCT
cana-5933	546	1	c.	c.	PROPN
cana-5933	546	2	radhikaand	radhikaand	PROPN
cana-5933	546	3	and	and	CCONJ
cana-5933	546	4	r.	r.	PROPN
cana-5933	546	5	parvathi	parvathi	PROPN
cana-5933	546	6	,	,	PUNCT
cana-5933	546	7	defuzzification	defuzzification	NOUN
cana-5933	546	8	of	of	ADP
cana-5933	546	9	intuitionistic	intuitionistic	ADJ
cana-5933	546	10	fuzzy	fuzzy	ADJ
cana-5933	546	11	sets	set	NOUN
cana-5933	546	12	,	,	PUNCT
cana-5933	546	13	international	international	ADJ
cana-5933	546	14	standard	standard	ADJ
cana-5933	546	15	serial	serial	ADJ
cana-5933	546	16	number	number	NOUN
cana-5933	546	17	,	,	PUNCT
cana-5933	546	18	2016	2016	NUM
cana-5933	546	19	.	.	PUNCT
cana-5933	547	1	[	[	X
cana-5933	547	2	35	35	NUM
cana-5933	547	3	]	]	PUNCT
cana-5933	547	4	.	.	PUNCT
cana-5933	547	5	a.	a.	PROPN
cana-5933	547	6	rezaei	rezaei	PROPN
cana-5933	547	7	,	,	PUNCT
cana-5933	547	8	t.	t.	PROPN
cana-5933	547	9	oner	oner	NOUN
cana-5933	547	10	,	,	PUNCT
cana-5933	547	11	t.	t.	PROPN
cana-5933	547	12	katikan	katikan	PROPN
cana-5933	547	13	and	and	CCONJ
cana-5933	547	14	n.	n.	PROPN
cana-5933	547	15	gandotra	gandotra	PROPN
cana-5933	547	16	,	,	PUNCT
cana-5933	547	17	a	a	DET
cana-5933	547	18	short	short	ADJ
cana-5933	547	19	history	history	NOUN
cana-5933	547	20	of	of	ADP
cana-5933	547	21	fuzzy	fuzzy	ADJ
cana-5933	547	22	,	,	PUNCT
cana-5933	547	23	intuitionistic	intuitionistic	ADJ
cana-5933	547	24	fuzzy	fuzzy	ADJ
cana-5933	547	25	,	,	PUNCT
cana-5933	547	26	neutrosophic	neutrosophic	ADJ
cana-5933	547	27	and	and	CCONJ
cana-5933	547	28	plithogenic	plithogenic	ADJ
cana-5933	547	29	sets	set	NOUN
cana-5933	547	30	,	,	PUNCT
cana-5933	547	31	university	university	NOUN
cana-5933	547	32	of	of	ADP
cana-5933	547	33	new	new	PROPN
cana-5933	547	34	mexico	mexico	PROPN
cana-5933	547	35	digital	digital	PROPN
cana-5933	547	36	repository	repository	NOUN
cana-5933	547	37	,	,	PUNCT
cana-5933	547	38	2022	2022	NUM
cana-5933	547	39	.	.	PUNCT
cana-5933	548	1	[	[	X
cana-5933	548	2	36	36	NUM
cana-5933	548	3	]	]	PUNCT
cana-5933	548	4	.	.	PUNCT
cana-5933	549	1	d.	d.	PROPN
cana-5933	549	2	stephen	stephen	PROPN
cana-5933	549	3	dinagar	dinagar	PROPN
cana-5933	549	4	,	,	PUNCT
cana-5933	549	5	k.	k.	PROPN
cana-5933	549	6	latha	latha	PROPN
cana-5933	549	7	,	,	PUNCT
cana-5933	549	8	some	some	DET
cana-5933	549	9	types	type	NOUN
cana-5933	549	10	of	of	ADP
cana-5933	549	11	type-2	type-2	NUM
cana-5933	549	12	triangular	triangular	NOUN
cana-5933	549	13	fuzzy	fuzzy	ADJ
cana-5933	549	14	matrices	matrix	NOUN
cana-5933	549	15	,	,	PUNCT
cana-5933	549	16	international	international	ADJ
cana-5933	549	17	journal	journal	NOUN
cana-5933	549	18	of	of	ADP
cana-5933	549	19	pure	pure	ADJ
cana-5933	549	20	and	and	CCONJ
cana-5933	549	21	applied	applied	ADJ
cana-5933	549	22	mathematics	mathematic	NOUN
cana-5933	549	23	,	,	PUNCT
cana-5933	549	24	2013	2013	NUM
cana-5933	549	25	.	.	PUNCT
cana-5933	550	1	[	[	X
cana-5933	550	2	37	37	NUM
cana-5933	550	3	]	]	PUNCT
cana-5933	550	4	.	.	PUNCT
cana-5933	551	1	g.	g.	PROPN
cana-5933	551	2	saranya	saranya	PROPN
cana-5933	551	3	,	,	PUNCT
cana-5933	551	4	a	a	DET
cana-5933	551	5	study	study	NOUN
cana-5933	551	6	on	on	ADP
cana-5933	551	7	basic	basic	ADJ
cana-5933	551	8	operations	operation	NOUN
cana-5933	551	9	and	and	CCONJ
cana-5933	551	10	properties	property	NOUN
cana-5933	551	11	of	of	ADP
cana-5933	551	12	fuzzy	fuzzy	ADJ
cana-5933	551	13	matrices	matrix	NOUN
cana-5933	551	14	and	and	CCONJ
cana-5933	551	15	its	its	PRON
cana-5933	551	16	sections	section	NOUN
cana-5933	551	17	,	,	PUNCT
cana-5933	551	18	international	international	ADJ
cana-5933	551	19	journal	journal	NOUN
cana-5933	551	20	of	of	ADP
cana-5933	551	21	arts	art	NOUN
cana-5933	551	22	,	,	PUNCT
cana-5933	551	23	science	science	NOUN
cana-5933	551	24	and	and	CCONJ
cana-5933	551	25	humanities	humanity	NOUN
cana-5933	551	26	,	,	PUNCT
cana-5933	551	27	2022	2022	NUM
cana-5933	551	28	.	.	PUNCT
cana-5933	552	1	[	[	X
cana-5933	552	2	38	38	NUM
cana-5933	552	3	]	]	PUNCT
cana-5933	552	4	.	.	PUNCT
cana-5933	553	1	s.	s.	PROPN
cana-5933	553	2	senthilkumar	senthilkumar	PROPN
cana-5933	553	3	,	,	PUNCT
cana-5933	553	4	eswari	eswari	NOUN
cana-5933	553	5	prem	prem	PROPN
cana-5933	553	6	and	and	CCONJ
cana-5933	553	7	c.	c.	PROPN
cana-5933	553	8	ragavan	ragavan	PROPN
cana-5933	553	9	,	,	PUNCT
cana-5933	553	10	caresian	caresian	ADJ
cana-5933	553	11	products	product	NOUN
cana-5933	553	12	over	over	ADP
cana-5933	553	13	a	a	DET
cana-5933	553	14	contrary	contrary	ADJ
cana-5933	553	15	intuitionistic	intuitionistic	ADJ
cana-5933	553	16	fuzzy	fuzzy	ADJ
cana-5933	553	17	𝛼translation	𝛼translation	NOUN
cana-5933	553	18	of	of	ADP
cana-5933	553	19	h	h	NOUN
cana-5933	553	20	-	-	PUNCT
cana-5933	553	21	ideals	ideal	NOUN
cana-5933	553	22	in	in	ADP
cana-5933	553	23	division	division	NOUN
cana-5933	553	24	bgalgebras	bgalgebra	NOUN
cana-5933	553	25	,	,	PUNCT
cana-5933	553	26	2019	2019	NUM
cana-5933	553	27	.	.	PUNCT
cana-5933	554	1	[	[	X
cana-5933	554	2	39	39	NUM
cana-5933	554	3	]	]	PUNCT
cana-5933	554	4	.	.	PUNCT
cana-5933	554	5	subhadip	subhadip	PROPN
cana-5933	554	6	roy	roy	PROPN
cana-5933	554	7	and	and	CCONJ
cana-5933	554	8	jeong	jeong	PROPN
cana-5933	554	9	-	-	PUNCT
cana-5933	554	10	gon	gon	PROPN
cana-5933	554	11	lee	lee	PROPN
cana-5933	554	12	,	,	PUNCT
cana-5933	554	13	on	on	ADP
cana-5933	554	14	bipolar	bipolar	ADJ
cana-5933	554	15	fuzzy	fuzzy	ADJ
cana-5933	554	16	gradation	gradation	NOUN
cana-5933	554	17	of	of	ADP
cana-5933	554	18	openness	openness	NOUN
cana-5933	554	19	,	,	PUNCT
cana-5933	554	20	multidisciplinary	multidisciplinary	ADJ
cana-5933	554	21	digital	digital	PROPN
cana-5933	554	22	publishing	publishing	PROPN
cana-5933	554	23	institute	institute	NOUN
cana-5933	554	24	,	,	PUNCT
cana-5933	554	25	2020	2020	NUM
cana-5933	554	26	.	.	PUNCT
cana-5933	555	1	[	[	X
cana-5933	555	2	40	40	NUM
cana-5933	555	3	]	]	PUNCT
cana-5933	555	4	.	.	PUNCT
cana-5933	556	1	k.	k.	PROPN
cana-5933	556	2	l.	l.	PROPN
cana-5933	556	3	vairal	vairal	PROPN
cana-5933	556	4	,	,	PUNCT
cana-5933	556	5	s.	s.	PROPN
cana-5933	556	6	d.	d.	PROPN
cana-5933	556	7	kulkarni	kulkarni	PROPN
cana-5933	556	8	and	and	CCONJ
cana-5933	556	9	vineeta	vineeta	PROPN
cana-5933	556	10	basotia	basotia	NOUN
cana-5933	556	11	,	,	PUNCT
cana-5933	556	12	fuzzy	fuzzy	ADJ
cana-5933	556	13	logic	logic	NOUN
cana-5933	556	14	and	and	CCONJ
cana-5933	556	15	its	its	PRON
cana-5933	556	16	applications	application	NOUN
cana-5933	556	17	in	in	ADP
cana-5933	556	18	some	some	DET
cana-5933	556	19	area	area	NOUN
cana-5933	556	20	:	:	PUNCT
cana-5933	556	21	a	a	DET
cana-5933	556	22	mini	mini	ADJ
cana-5933	556	23	review	review	NOUN
cana-5933	556	24	,	,	PUNCT
cana-5933	556	25	journal	journal	NOUN
cana-5933	556	26	of	of	ADP
cana-5933	556	27	engineering	engineering	NOUN
cana-5933	556	28	sciences	science	NOUN
cana-5933	556	29	,	,	PUNCT
cana-5933	556	30	2020	2020	NUM
cana-5933	556	31	.	.	PUNCT
cana-5933	557	1	[	[	X
cana-5933	557	2	41	41	NUM
cana-5933	557	3	]	]	PUNCT
cana-5933	557	4	.	.	PUNCT
cana-5933	558	1	vahid	vahid	PROPN
cana-5933	558	2	khatibia	khatibia	PROPN
cana-5933	558	3	and	and	CCONJ
cana-5933	558	4	gholam	gholam	PROPN
cana-5933	558	5	ali	ali	PROPN
cana-5933	558	6	montazer	montazer	PROPN
cana-5933	558	7	,	,	PUNCT
cana-5933	558	8	intuitionistic	intuitionistic	ADJ
cana-5933	558	9	fuzzy	fuzzy	ADJ
cana-5933	558	10	set	set	NOUN
cana-5933	558	11	vs.	vs.	ADP
cana-5933	558	12	fuzzy	fuzzy	ADJ
cana-5933	558	13	set	set	VERB
cana-5933	558	14	application	application	NOUN
cana-5933	558	15	in	in	ADP
cana-5933	558	16	medical	medical	ADJ
cana-5933	558	17	pattern	pattern	NOUN
cana-5933	558	18	recognition	recognition	NOUN
cana-5933	558	19	,	,	PUNCT
cana-5933	558	20	2009	2009	NUM
cana-5933	558	21	.	.	PUNCT
cana-5933	559	1	[	[	X
cana-5933	559	2	42	42	NUM
cana-5933	559	3	]	]	PUNCT
cana-5933	559	4	.	.	PUNCT
cana-5933	560	1	yahya	yahya	PROPN
cana-5933	560	2	hanine	hanine	PROPN
cana-5933	560	3	and	and	CCONJ
cana-5933	560	4	youssef	youssef	PROPN
cana-5933	560	5	lamrani	lamrani	PROPN
cana-5933	560	6	alaoui	alaoui	PROPN
cana-5933	560	7	,	,	PUNCT
cana-5933	560	8	socially	socially	ADV
cana-5933	560	9	responsible	responsible	ADJ
cana-5933	560	10	portfolio	portfolio	NOUN
cana-5933	560	11	selection	selection	NOUN
cana-5933	560	12	:	:	PUNCT
cana-5933	560	13	an	an	DET
cana-5933	560	14	interactive	interactive	ADJ
cana-5933	560	15	intuitionistic	intuitionistic	ADJ
cana-5933	560	16	fuzzy	fuzzy	ADJ
cana-5933	560	17	approach	approach	NOUN
cana-5933	560	18	,	,	PUNCT
cana-5933	560	19	mdpi	mdpi	PROPN
cana-5933	560	20	stays	stay	VERB
cana-5933	560	21	neutral	neutral	ADJ
cana-5933	560	22	with	with	ADP
cana-5933	560	23	regard	regard	NOUN
cana-5933	560	24	to	to	ADP
cana-5933	560	25	jurisdictional	jurisdictional	ADJ
cana-5933	560	26	claims	claim	NOUN
cana-5933	560	27	in	in	ADP
cana-5933	560	28	published	publish	VERB
cana-5933	560	29	maps	map	NOUN
cana-5933	560	30	and	and	CCONJ
cana-5933	560	31	institutional	institutional	ADJ
cana-5933	560	32	affiliations	affiliation	NOUN
cana-5933	560	33	,	,	PUNCT
cana-5933	560	34	2021	2021	NUM
cana-5933	560	35	.	.	PUNCT