id	sid	tid	token	lemma	pos
cana-3844	1	1	communications	communication	NOUN
cana-3844	1	2	on	on	ADP
cana-3844	1	3	applied	apply	VERB
cana-3844	1	4	nonlinear	nonlinear	ADJ
cana-3844	1	5	analysis	analysis	NOUN
cana-3844	1	6	issn	issn	NOUN
cana-3844	1	7	:	:	PUNCT
cana-3844	1	8	1074	1074	NUM
cana-3844	1	9	-	-	PUNCT
cana-3844	1	10	133x	133x	NUM
cana-3844	1	11	vol	vol	NOUN
cana-3844	1	12	32	32	NUM
cana-3844	1	13	no	no	NOUN
cana-3844	1	14	.	.	PUNCT
cana-3844	2	1	9s	9s	NUM
cana-3844	2	2	(	(	PUNCT
cana-3844	2	3	2025	2025	NUM
cana-3844	2	4	)	)	PUNCT
cana-3844	2	5	135	135	NUM
cana-3844	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	2	7	gra	gra	PROPN
cana-3844	2	8	approach	approach	NOUN
cana-3844	2	9	for	for	ADP
cana-3844	2	10	the	the	DET
cana-3844	2	11	solution	solution	NOUN
cana-3844	2	12	of	of	ADP
cana-3844	2	13	mitigating	mitigate	VERB
cana-3844	2	14	air	air	NOUN
cana-3844	2	15	pollutant	pollutant	ADJ
cana-3844	2	16	emissions	emission	NOUN
cana-3844	2	17	from	from	ADP
cana-3844	2	18	animal	animal	NOUN
cana-3844	2	19	barns	barn	NOUN
cana-3844	2	20	with	with	ADP
cana-3844	2	21	the	the	DET
cana-3844	2	22	help	help	NOUN
cana-3844	2	23	of	of	ADP
cana-3844	2	24	fuzzy	fuzzy	ADJ
cana-3844	2	25	knowledge	knowledge	NOUN
cana-3844	2	26	measure	measure	NOUN
cana-3844	2	27	anirudh1	anirudh1	PROPN
cana-3844	2	28	,	,	PUNCT
cana-3844	2	29	gurdas	gurdas	PROPN
cana-3844	2	30	ram2	ram2	PROPN
cana-3844	2	31	,	,	PUNCT
cana-3844	2	32	and	and	CCONJ
cana-3844	2	33	ravinder3	ravinder3	NOUN
cana-3844	2	34	1,2,3department	1,2,3department	NUM
cana-3844	2	35	of	of	ADP
cana-3844	2	36	mathematics	mathematic	NOUN
cana-3844	2	37	,	,	PUNCT
cana-3844	2	38	maharishi	maharishi	PROPN
cana-3844	2	39	markandeshwar	markandeshwar	PROPN
cana-3844	2	40	(	(	PUNCT
cana-3844	2	41	deemed	deem	VERB
cana-3844	2	42	to	to	PART
cana-3844	2	43	be	be	AUX
cana-3844	2	44	university	university	NOUN
cana-3844	2	45	)	)	PUNCT
cana-3844	2	46	,	,	PUNCT
cana-3844	2	47	mullana	mullana	PROPN
cana-3844	2	48	ambala	ambala	PROPN
cana-3844	2	49	,	,	PUNCT
cana-3844	2	50	133207	133207	NUM
cana-3844	2	51	,	,	PUNCT
cana-3844	2	52	haryana	haryana	PROPN
cana-3844	2	53	(	(	PUNCT
cana-3844	2	54	india	india	PROPN
cana-3844	2	55	)	)	PUNCT
cana-3844	2	56	email	email	NOUN
cana-3844	2	57	:	:	PUNCT
cana-3844	2	58	1anirudhkundu95@gmail.com	1anirudhkundu95@gmail.com	NUM
cana-3844	2	59	,	,	PUNCT
cana-3844	2	60	2gurdasdadwal@mmumullana.org	2gurdasdadwal@mmumullana.org	NUM
cana-3844	2	61	,	,	PUNCT
cana-3844	2	62	3ravindersheoran103@gmail.com	3ravindersheoran103@gmail.com	NUM
cana-3844	2	63	article	article	NOUN
cana-3844	2	64	history	history	NOUN
cana-3844	2	65	:	:	PUNCT
cana-3844	2	66	received	receive	VERB
cana-3844	2	67	:	:	PUNCT
cana-3844	2	68	13	13	NUM
cana-3844	2	69	-	-	SYM
cana-3844	2	70	11	11	NUM
cana-3844	2	71	-	-	PUNCT
cana-3844	2	72	2024	2024	NUM
cana-3844	2	73	revised:25	revised:25	NOUN
cana-3844	2	74	-	-	PUNCT
cana-3844	2	75	12	12	NUM
cana-3844	2	76	-	-	PUNCT
cana-3844	2	77	2024	2024	NUM
cana-3844	2	78	accepted:09	accepted:09	NOUN
cana-3844	2	79	-	-	PUNCT
cana-3844	2	80	01	01	NUM
cana-3844	2	81	-	-	PUNCT
cana-3844	2	82	2025	2025	NUM
cana-3844	2	83	abstract	abstract	NOUN
cana-3844	2	84	:	:	PUNCT
cana-3844	2	85	the	the	DET
cana-3844	2	86	air	air	NOUN
cana-3844	2	87	pollutants	pollutant	NOUN
cana-3844	2	88	emissions	emission	NOUN
cana-3844	2	89	from	from	ADP
cana-3844	2	90	concentrated	concentrate	VERB
cana-3844	2	91	animal	animal	NOUN
cana-3844	2	92	husbandry	husbandry	NOUN
cana-3844	2	93	contribute	contribute	VERB
cana-3844	2	94	to	to	ADP
cana-3844	2	95	environmental	environmental	ADJ
cana-3844	2	96	pollution	pollution	NOUN
cana-3844	2	97	and	and	CCONJ
cana-3844	2	98	global	global	ADJ
cana-3844	2	99	warming	warming	NOUN
cana-3844	2	100	problems	problem	NOUN
cana-3844	2	101	.	.	PUNCT
cana-3844	3	1	a	a	DET
cana-3844	3	2	number	number	NOUN
cana-3844	3	3	of	of	ADP
cana-3844	3	4	air	air	NOUN
cana-3844	3	5	pollutants	pollutant	NOUN
cana-3844	3	6	,	,	PUNCT
cana-3844	3	7	including	include	VERB
cana-3844	3	8	nh3	nh3	NOUN
cana-3844	3	9	,	,	PUNCT
cana-3844	3	10	h2s	h2s	PROPN
cana-3844	3	11	,	,	PUNCT
cana-3844	3	12	ch4	ch4	NOUN
cana-3844	3	13	and	and	CCONJ
cana-3844	3	14	co2	co2	NOUN
cana-3844	3	15	,	,	PUNCT
cana-3844	3	16	can	can	AUX
cana-3844	3	17	be	be	AUX
cana-3844	3	18	produced	produce	VERB
cana-3844	3	19	via	via	ADP
cana-3844	3	20	land	land	NOUN
cana-3844	3	21	application	application	NOUN
cana-3844	3	22	,	,	PUNCT
cana-3844	3	23	animal	animal	NOUN
cana-3844	3	24	housing	housing	NOUN
cana-3844	3	25	,	,	PUNCT
cana-3844	3	26	and	and	CCONJ
cana-3844	3	27	manure	manure	NOUN
cana-3844	3	28	storage	storage	NOUN
cana-3844	3	29	.	.	PUNCT
cana-3844	4	1	it	it	PRON
cana-3844	4	2	is	be	AUX
cana-3844	4	3	necessary	necessary	ADJ
cana-3844	4	4	to	to	PART
cana-3844	4	5	reduce	reduce	VERB
cana-3844	4	6	these	these	DET
cana-3844	4	7	contaminants	contaminant	NOUN
cana-3844	4	8	while	while	SCONJ
cana-3844	4	9	maintaining	maintain	VERB
cana-3844	4	10	the	the	DET
cana-3844	4	11	supply	supply	NOUN
cana-3844	4	12	of	of	ADP
cana-3844	4	13	animal	animal	NOUN
cana-3844	4	14	protein	protein	NOUN
cana-3844	4	15	.	.	PUNCT
cana-3844	5	1	in	in	ADP
cana-3844	5	2	addition	addition	NOUN
cana-3844	5	3	to	to	ADP
cana-3844	5	4	safeguarding	safeguard	VERB
cana-3844	5	5	the	the	DET
cana-3844	5	6	environment	environment	NOUN
cana-3844	5	7	,	,	PUNCT
cana-3844	5	8	this	this	DET
cana-3844	5	9	mitigation	mitigation	NOUN
cana-3844	5	10	will	will	AUX
cana-3844	5	11	enhance	enhance	VERB
cana-3844	5	12	indoor	indoor	ADJ
cana-3844	5	13	air	air	NOUN
cana-3844	5	14	quality	quality	NOUN
cana-3844	5	15	,	,	PUNCT
cana-3844	5	16	which	which	PRON
cana-3844	5	17	is	be	AUX
cana-3844	5	18	vital	vital	ADJ
cana-3844	5	19	for	for	ADP
cana-3844	5	20	the	the	DET
cana-3844	5	21	welfare	welfare	NOUN
cana-3844	5	22	and	and	CCONJ
cana-3844	5	23	health	health	NOUN
cana-3844	5	24	of	of	ADP
cana-3844	5	25	animals	animal	NOUN
cana-3844	5	26	as	as	ADV
cana-3844	5	27	well	well	ADV
cana-3844	5	28	as	as	ADP
cana-3844	5	29	the	the	DET
cana-3844	5	30	workers	worker	NOUN
cana-3844	5	31	’	’	PART
cana-3844	5	32	safety	safety	NOUN
cana-3844	5	33	.	.	PUNCT
cana-3844	6	1	for	for	ADP
cana-3844	6	2	this	this	DET
cana-3844	6	3	problem	problem	NOUN
cana-3844	6	4	various	various	ADJ
cana-3844	6	5	methods	method	NOUN
cana-3844	6	6	are	be	AUX
cana-3844	6	7	compared	compare	VERB
cana-3844	6	8	that	that	PRON
cana-3844	6	9	can	can	AUX
cana-3844	6	10	resolve	resolve	VERB
cana-3844	6	11	this	this	DET
cana-3844	6	12	problem	problem	NOUN
cana-3844	6	13	and	and	CCONJ
cana-3844	6	14	a	a	DET
cana-3844	6	15	knowledge	knowledge	NOUN
cana-3844	6	16	measure	measure	NOUN
cana-3844	6	17	based	base	VERB
cana-3844	6	18	on	on	ADP
cana-3844	6	19	fuzzy	fuzzy	ADJ
cana-3844	6	20	sets	set	NOUN
cana-3844	6	21	for	for	ADP
cana-3844	6	22	managing	manage	VERB
cana-3844	6	23	ambiguity	ambiguity	NOUN
cana-3844	6	24	and	and	CCONJ
cana-3844	6	25	uncertainty	uncertainty	NOUN
cana-3844	6	26	in	in	ADP
cana-3844	6	27	real	real	ADJ
cana-3844	6	28	life	life	NOUN
cana-3844	6	29	problems	problem	NOUN
cana-3844	6	30	.	.	PUNCT
cana-3844	7	1	this	this	DET
cana-3844	7	2	work	work	NOUN
cana-3844	7	3	uses	use	VERB
cana-3844	7	4	fuzzy	fuzzy	ADJ
cana-3844	7	5	sets	set	NOUN
cana-3844	7	6	to	to	PART
cana-3844	7	7	present	present	VERB
cana-3844	7	8	a	a	DET
cana-3844	7	9	knowledge	knowledge	NOUN
cana-3844	7	10	measure	measure	NOUN
cana-3844	7	11	to	to	PART
cana-3844	7	12	handle	handle	VERB
cana-3844	7	13	these	these	DET
cana-3844	7	14	type	type	NOUN
cana-3844	7	15	of	of	ADP
cana-3844	7	16	ambiguity	ambiguity	NOUN
cana-3844	7	17	and	and	CCONJ
cana-3844	7	18	uncertainty	uncertainty	NOUN
cana-3844	7	19	.	.	PUNCT
cana-3844	8	1	the	the	DET
cana-3844	8	2	fuzzy	fuzzy	ADJ
cana-3844	8	3	sets	set	NOUN
cana-3844	8	4	that	that	PRON
cana-3844	8	5	satisfies	satisfy	VERB
cana-3844	8	6	the	the	DET
cana-3844	8	7	knowledge	knowledge	NOUN
cana-3844	8	8	measure	measure	NOUN
cana-3844	8	9	has	have	AUX
cana-3844	8	10	accumulated	accumulate	VERB
cana-3844	8	11	significant	significant	ADJ
cana-3844	8	12	focus	focus	NOUN
cana-3844	8	13	yet	yet	ADV
cana-3844	8	14	remains	remain	VERB
cana-3844	8	15	pending	pende	VERB
cana-3844	8	16	due	due	ADP
cana-3844	8	17	to	to	ADP
cana-3844	8	18	its	its	PRON
cana-3844	8	19	importance	importance	NOUN
cana-3844	8	20	in	in	ADP
cana-3844	8	21	evaluating	evaluate	VERB
cana-3844	8	22	fuzzy	fuzzy	ADJ
cana-3844	8	23	information	information	NOUN
cana-3844	8	24	.	.	PUNCT
cana-3844	9	1	this	this	DET
cana-3844	9	2	paper	paper	NOUN
cana-3844	9	3	presents	present	VERB
cana-3844	9	4	a	a	DET
cana-3844	9	5	knowledge	knowledge	NOUN
cana-3844	9	6	measure	measure	NOUN
cana-3844	9	7	under	under	ADP
cana-3844	9	8	fuzzy	fuzzy	ADJ
cana-3844	9	9	sets	set	NOUN
cana-3844	9	10	and	and	CCONJ
cana-3844	9	11	rigorously	rigorously	ADV
cana-3844	9	12	evaluates	evaluate	VERB
cana-3844	9	13	its	its	PRON
cana-3844	9	14	validity	validity	NOUN
cana-3844	9	15	through	through	ADP
cana-3844	9	16	a	a	DET
cana-3844	9	17	systematic	systematic	ADJ
cana-3844	9	18	,	,	PUNCT
cana-3844	9	19	axiomatic	axiomatic	ADJ
cana-3844	9	20	analysis	analysis	NOUN
cana-3844	9	21	.	.	PUNCT
cana-3844	10	1	the	the	DET
cana-3844	10	2	effectiveness	effectiveness	NOUN
cana-3844	10	3	of	of	ADP
cana-3844	10	4	the	the	DET
cana-3844	10	5	suggested	suggest	VERB
cana-3844	10	6	measure	measure	NOUN
cana-3844	10	7	for	for	ADP
cana-3844	10	8	ambiguity	ambiguity	NOUN
cana-3844	10	9	and	and	CCONJ
cana-3844	10	10	linguistic	linguistic	ADJ
cana-3844	10	11	comprise	comprise	NOUN
cana-3844	10	12	is	be	AUX
cana-3844	10	13	explained	explain	VERB
cana-3844	10	14	via	via	ADP
cana-3844	10	15	quantitative	quantitative	ADJ
cana-3844	10	16	example	example	NOUN
cana-3844	10	17	,	,	PUNCT
cana-3844	10	18	depend	depend	VERB
cana-3844	10	19	upon	upon	SCONJ
cana-3844	10	20	the	the	DET
cana-3844	10	21	discussed	discuss	VERB
cana-3844	10	22	measure	measure	NOUN
cana-3844	10	23	.	.	PUNCT
cana-3844	11	1	any	any	DET
cana-3844	11	2	fuzzy	fuzzy	ADJ
cana-3844	11	3	set	set	NOUN
cana-3844	11	4	that	that	PRON
cana-3844	11	5	is	be	AUX
cana-3844	11	6	co	co	VERB
cana-3844	11	7	-	-	NOUN
cana-3844	11	8	relate	relate	VERB
cana-3844	11	9	to	to	ADP
cana-3844	11	10	knowledge	knowledge	NOUN
cana-3844	11	11	is	be	AUX
cana-3844	11	12	assess	assess	NOUN
cana-3844	11	13	by	by	ADP
cana-3844	11	14	a	a	DET
cana-3844	11	15	knowledge	knowledge	NOUN
cana-3844	11	16	measure	measure	NOUN
cana-3844	11	17	.	.	PUNCT
cana-3844	12	1	initiation	initiation	NOUN
cana-3844	12	2	of	of	ADP
cana-3844	12	3	a	a	DET
cana-3844	12	4	new	new	ADJ
cana-3844	12	5	knowledge	knowledge	NOUN
cana-3844	12	6	measure	measure	NOUN
cana-3844	12	7	has	have	AUX
cana-3844	12	8	been	be	AUX
cana-3844	12	9	introduced	introduce	VERB
cana-3844	12	10	for	for	ADP
cana-3844	12	11	the	the	DET
cana-3844	12	12	current	current	ADJ
cana-3844	12	13	problems	problem	NOUN
cana-3844	12	14	to	to	PART
cana-3844	12	15	get	get	VERB
cana-3844	12	16	more	more	ADV
cana-3844	12	17	effective	effective	ADJ
cana-3844	12	18	results	result	NOUN
cana-3844	12	19	.	.	PUNCT
cana-3844	13	1	the	the	DET
cana-3844	13	2	prime	prime	ADJ
cana-3844	13	3	target	target	NOUN
cana-3844	13	4	of	of	ADP
cana-3844	13	5	this	this	DET
cana-3844	13	6	study	study	NOUN
cana-3844	13	7	is	be	AUX
cana-3844	13	8	to	to	PART
cana-3844	13	9	get	get	VERB
cana-3844	13	10	foremost	foremost	ADJ
cana-3844	13	11	ideal	ideal	ADJ
cana-3844	13	12	solution	solution	NOUN
cana-3844	13	13	which	which	PRON
cana-3844	13	14	is	be	AUX
cana-3844	13	15	much	much	ADV
cana-3844	13	16	better	well	ADJ
cana-3844	13	17	than	than	ADP
cana-3844	13	18	the	the	DET
cana-3844	13	19	orthodox	orthodox	ADJ
cana-3844	13	20	fuzzy	fuzzy	ADJ
cana-3844	13	21	approach	approach	NOUN
cana-3844	13	22	.	.	PUNCT
cana-3844	14	1	the	the	DET
cana-3844	14	2	validity	validity	NOUN
cana-3844	14	3	and	and	CCONJ
cana-3844	14	4	usefulness	usefulness	NOUN
cana-3844	14	5	of	of	ADP
cana-3844	14	6	knowledge	knowledge	NOUN
cana-3844	14	7	measure	measure	NOUN
cana-3844	14	8	can	can	AUX
cana-3844	14	9	be	be	AUX
cana-3844	14	10	evaluated	evaluate	VERB
cana-3844	14	11	by	by	ADP
cana-3844	14	12	numerical	numerical	ADJ
cana-3844	14	13	examples	example	NOUN
cana-3844	14	14	.	.	PUNCT
cana-3844	15	1	additionally	additionally	ADV
cana-3844	15	2	,	,	PUNCT
cana-3844	15	3	with	with	ADP
cana-3844	15	4	the	the	DET
cana-3844	15	5	aid	aid	NOUN
cana-3844	15	6	of	of	ADP
cana-3844	15	7	multi	multi	ADJ
cana-3844	15	8	criteria	criterion	NOUN
cana-3844	15	9	decision	decision	NOUN
cana-3844	15	10	-	-	PUNCT
cana-3844	15	11	making	making	NOUN
cana-3844	15	12	and	and	CCONJ
cana-3844	15	13	gra	gra	PROPN
cana-3844	15	14	approach	approach	NOUN
cana-3844	15	15	this	this	DET
cana-3844	15	16	knowledge	knowledge	NOUN
cana-3844	15	17	measure	measure	NOUN
cana-3844	15	18	becomes	become	VERB
cana-3844	15	19	a	a	DET
cana-3844	15	20	useful	useful	ADJ
cana-3844	15	21	methodology	methodology	NOUN
cana-3844	15	22	for	for	ADP
cana-3844	15	23	comparison	comparison	NOUN
cana-3844	15	24	and	and	CCONJ
cana-3844	15	25	can	can	AUX
cana-3844	15	26	be	be	AUX
cana-3844	15	27	applied	apply	VERB
cana-3844	15	28	to	to	PART
cana-3844	15	29	improve	improve	VERB
cana-3844	15	30	a	a	DET
cana-3844	15	31	solution	solution	NOUN
cana-3844	15	32	to	to	ADP
cana-3844	15	33	a	a	DET
cana-3844	15	34	problem	problem	NOUN
cana-3844	15	35	.	.	PUNCT
cana-3844	16	1	we	we	PRON
cana-3844	16	2	present	present	VERB
cana-3844	16	3	the	the	DET
cana-3844	16	4	suggested	suggest	VERB
cana-3844	16	5	approach	approach	NOUN
cana-3844	16	6	’s	’s	PART
cana-3844	16	7	real	real	ADJ
cana-3844	16	8	-	-	PUNCT
cana-3844	16	9	world	world	NOUN
cana-3844	16	10	implementation	implementation	NOUN
cana-3844	16	11	especially	especially	ADV
cana-3844	16	12	by	by	ADP
cana-3844	16	13	reducing	reduce	VERB
cana-3844	16	14	co2	co2	NOUN
cana-3844	16	15	(	(	PUNCT
cana-3844	16	16	carbon	carbon	NOUN
cana-3844	16	17	dioxide	dioxide	NOUN
cana-3844	16	18	)	)	PUNCT
cana-3844	16	19	and	and	CCONJ
cana-3844	16	20	nh3	nh3	NOUN
cana-3844	16	21	(	(	PUNCT
cana-3844	16	22	ammonia	ammonia	NOUN
cana-3844	16	23	)	)	PUNCT
cana-3844	16	24	gas	gas	NOUN
cana-3844	16	25	.	.	PUNCT
cana-3844	17	1	a	a	DET
cana-3844	17	2	case	case	NOUN
cana-3844	17	3	study	study	NOUN
cana-3844	17	4	on	on	ADP
cana-3844	17	5	the	the	DET
cana-3844	17	6	existence	existence	NOUN
cana-3844	17	7	of	of	ADP
cana-3844	17	8	pollution	pollution	NOUN
cana-3844	17	9	and	and	CCONJ
cana-3844	17	10	how	how	SCONJ
cana-3844	17	11	can	can	AUX
cana-3844	17	12	a	a	DET
cana-3844	17	13	producer	producer	NOUN
cana-3844	17	14	reduce	reduce	VERB
cana-3844	17	15	co2	co2	NOUN
cana-3844	17	16	and	and	CCONJ
cana-3844	17	17	nh3	nh3	NUM
cana-3844	17	18	concentration	concentration	NOUN
cana-3844	17	19	in	in	ADP
cana-3844	17	20	animal	animal	NOUN
cana-3844	17	21	barns	barn	NOUN
cana-3844	17	22	with	with	ADP
cana-3844	17	23	this	this	DET
cana-3844	17	24	approach	approach	NOUN
cana-3844	17	25	.	.	PUNCT
cana-3844	18	1	throughout	throughout	ADP
cana-3844	18	2	the	the	DET
cana-3844	18	3	entire	entire	ADJ
cana-3844	18	4	study	study	NOUN
cana-3844	18	5	a	a	DET
cana-3844	18	6	comparison	comparison	NOUN
cana-3844	18	7	is	be	AUX
cana-3844	18	8	made	make	VERB
cana-3844	18	9	between	between	ADP
cana-3844	18	10	the	the	DET
cana-3844	18	11	enlisted	enlisted	ADJ
cana-3844	18	12	approach	approach	NOUN
cana-3844	18	13	and	and	CCONJ
cana-3844	18	14	current	current	ADJ
cana-3844	18	15	approach	approach	NOUN
cana-3844	18	16	in	in	ADP
cana-3844	18	17	order	order	NOUN
cana-3844	18	18	to	to	PART
cana-3844	18	19	assess	assess	VERB
cana-3844	18	20	the	the	DET
cana-3844	18	21	proposed	propose	VERB
cana-3844	18	22	technique	technique	NOUN
cana-3844	18	23	’s	’s	PART
cana-3844	18	24	efficacy	efficacy	NOUN
cana-3844	18	25	and	and	CCONJ
cana-3844	18	26	competence	competence	NOUN
cana-3844	18	27	.	.	PUNCT
cana-3844	19	1	keywords	keyword	NOUN
cana-3844	19	2	:	:	PUNCT
cana-3844	19	3	fuzzy	fuzzy	ADJ
cana-3844	19	4	set	set	NOUN
cana-3844	19	5	,	,	PUNCT
cana-3844	19	6	fuzzy	fuzzy	ADJ
cana-3844	19	7	knowledge	knowledge	NOUN
cana-3844	19	8	measure	measure	NOUN
cana-3844	19	9	,	,	PUNCT
cana-3844	19	10	gra	gra	PROPN
cana-3844	19	11	,	,	PUNCT
cana-3844	19	12	information	information	NOUN
cana-3844	19	13	measure	measure	NOUN
cana-3844	19	14	,	,	PUNCT
cana-3844	19	15	mcdm	mcdm	ADJ
cana-3844	19	16	.	.	PUNCT
cana-3844	20	1	1	1	X
cana-3844	20	2	.	.	X
cana-3844	20	3	introduction	introduction	NOUN
cana-3844	20	4	lotfi	lotfi	PROPN
cana-3844	20	5	aliasker	aliasker	PROPN
cana-3844	20	6	zadeh	zadeh	PROPN
cana-3844	21	1	[	[	X
cana-3844	21	2	1	1	NUM
cana-3844	21	3	]	]	PUNCT
cana-3844	21	4	was	be	AUX
cana-3844	21	5	a	a	DET
cana-3844	21	6	notable	notable	ADJ
cana-3844	21	7	person	person	NOUN
cana-3844	21	8	known	know	VERB
cana-3844	21	9	for	for	ADP
cana-3844	21	10	his	his	PRON
cana-3844	21	11	contribution	contribution	NOUN
cana-3844	21	12	in	in	ADP
cana-3844	21	13	the	the	DET
cana-3844	21	14	field	field	NOUN
cana-3844	21	15	of	of	ADP
cana-3844	21	16	computer	computer	NOUN
cana-3844	21	17	science	science	NOUN
cana-3844	21	18	and	and	CCONJ
cana-3844	21	19	mathematics	mathematic	NOUN
cana-3844	21	20	,	,	PUNCT
cana-3844	21	21	especially	especially	ADV
cana-3844	21	22	in	in	ADP
cana-3844	21	23	the	the	DET
cana-3844	21	24	fuzzy	fuzzy	ADJ
cana-3844	21	25	set	set	NOUN
cana-3844	21	26	theory	theory	NOUN
cana-3844	21	27	and	and	CCONJ
cana-3844	21	28	many	many	ADJ
cana-3844	21	29	more	more	ADV
cana-3844	21	30	related	relate	VERB
cana-3844	21	31	concepts	concept	NOUN
cana-3844	21	32	like	like	ADP
cana-3844	21	33	fuzzy	fuzzy	ADJ
cana-3844	21	34	logic	logic	NOUN
cana-3844	21	35	,	,	PUNCT
cana-3844	21	36	fuzzy	fuzzy	ADJ
cana-3844	21	37	algorithms	algorithm	NOUN
cana-3844	21	38	,	,	PUNCT
cana-3844	21	39	etc	etc	X
cana-3844	21	40	.	.	X
cana-3844	21	41	only	only	ADV
cana-3844	21	42	the	the	DET
cana-3844	21	43	degree	degree	NOUN
cana-3844	21	44	of	of	ADP
cana-3844	21	45	membership	membership	NOUN
cana-3844	21	46	which	which	PRON
cana-3844	21	47	is	be	AUX
cana-3844	21	48	provided	provide	VERB
cana-3844	21	49	by	by	ADP
cana-3844	21	50	set	set	NOUN
cana-3844	21	51	of	of	ADP
cana-3844	21	52	elements	element	NOUN
cana-3844	21	53	in	in	ADP
cana-3844	21	54	the	the	DET
cana-3844	21	55	closed	closed	ADJ
cana-3844	21	56	interval	interval	NOUN
cana-3844	21	57	[	[	X
cana-3844	21	58	0,1	0,1	NUM
cana-3844	21	59	]	]	PUNCT
cana-3844	21	60	is	be	AUX
cana-3844	21	61	considered	consider	VERB
cana-3844	21	62	in	in	ADP
cana-3844	21	63	fuzzy	fuzzy	ADJ
cana-3844	21	64	sets	set	NOUN
cana-3844	21	65	.	.	PUNCT
cana-3844	22	1	distance	distance	NOUN
cana-3844	22	2	,	,	PUNCT
cana-3844	22	3	similarity	similarity	NOUN
cana-3844	22	4	,	,	PUNCT
cana-3844	22	5	and	and	CCONJ
cana-3844	22	6	entropy	entropy	VERB
cana-3844	22	7	measurements	measurement	NOUN
cana-3844	22	8	of	of	ADP
cana-3844	22	9	fuzzy	fuzzy	ADJ
cana-3844	22	10	sets	set	NOUN
cana-3844	22	11	were	be	AUX
cana-3844	22	12	defined	define	VERB
cana-3844	22	13	axiomatically	axiomatically	ADV
cana-3844	22	14	by	by	ADP
cana-3844	22	15	xuecheng	xuecheng	PROPN
cana-3844	22	16	communications	communication	NOUN
cana-3844	22	17	on	on	ADP
cana-3844	22	18	applied	apply	VERB
cana-3844	22	19	nonlinear	nonlinear	ADJ
cana-3844	22	20	analysis	analysis	NOUN
cana-3844	22	21	issn	issn	NOUN
cana-3844	22	22	:	:	PUNCT
cana-3844	22	23	1074	1074	NUM
cana-3844	22	24	-	-	PUNCT
cana-3844	22	25	133x	133x	NUM
cana-3844	22	26	vol	vol	NOUN
cana-3844	22	27	32	32	NUM
cana-3844	22	28	no	no	NOUN
cana-3844	22	29	.	.	PUNCT
cana-3844	23	1	9s	9s	NUM
cana-3844	23	2	(	(	PUNCT
cana-3844	23	3	2025	2025	NUM
cana-3844	23	4	)	)	PUNCT
cana-3844	23	5	136	136	NUM
cana-3844	23	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	24	1	[	[	X
cana-3844	24	2	2	2	NUM
cana-3844	24	3	]	]	PUNCT
cana-3844	24	4	.	.	PUNCT
cana-3844	25	1	the	the	DET
cana-3844	25	2	fundamental	fundamental	ADJ
cana-3844	25	3	relationship	relationship	NOUN
cana-3844	25	4	between	between	ADP
cana-3844	25	5	these	these	DET
cana-3844	25	6	measures	measure	NOUN
cana-3844	25	7	was	be	AUX
cana-3844	25	8	also	also	ADV
cana-3844	25	9	methodically	methodically	ADV
cana-3844	25	10	examined	examine	VERB
cana-3844	25	11	.	.	PUNCT
cana-3844	26	1	four	four	NUM
cana-3844	26	2	new	new	ADJ
cana-3844	26	3	postulates	postulate	NOUN
cana-3844	26	4	were	be	AUX
cana-3844	26	5	also	also	ADV
cana-3844	26	6	introduced	introduce	VERB
cana-3844	26	7	by	by	ADP
cana-3844	26	8	luca	luca	PROPN
cana-3844	26	9	and	and	CCONJ
cana-3844	26	10	termini	termini	VERB
cana-3844	26	11	[	[	X
cana-3844	26	12	3	3	X
cana-3844	26	13	]	]	PUNCT
cana-3844	26	14	for	for	ADP
cana-3844	26	15	the	the	DET
cana-3844	26	16	fuzzy	fuzzy	ADJ
cana-3844	26	17	information	information	NOUN
cana-3844	26	18	measure	measure	NOUN
cana-3844	26	19	.	.	PUNCT
cana-3844	27	1	it	it	PRON
cana-3844	27	2	was	be	AUX
cana-3844	27	3	the	the	DET
cana-3844	27	4	new	new	ADJ
cana-3844	27	5	version	version	NOUN
cana-3844	27	6	of	of	ADP
cana-3844	27	7	the	the	DET
cana-3844	27	8	shannon	shannon	PROPN
cana-3844	27	9	entropy	entropy	PROPN
cana-3844	27	10	[	[	X
cana-3844	27	11	4	4	NUM
cana-3844	27	12	]	]	PUNCT
cana-3844	27	13	transformed	transform	VERB
cana-3844	27	14	into	into	ADP
cana-3844	27	15	a	a	DET
cana-3844	27	16	fuzzy	fuzzy	ADJ
cana-3844	27	17	information	information	NOUN
cana-3844	27	18	measure	measure	NOUN
cana-3844	27	19	.	.	PUNCT
cana-3844	28	1	after	after	ADP
cana-3844	28	2	that	that	PRON
cana-3844	28	3	,	,	PUNCT
cana-3844	28	4	kaufmann	kaufmann	PROPN
cana-3844	29	1	[	[	X
cana-3844	29	2	5	5	NUM
cana-3844	29	3	]	]	PUNCT
cana-3844	29	4	and	and	CCONJ
cana-3844	29	5	yager	yager	NOUN
cana-3844	30	1	[	[	X
cana-3844	30	2	6	6	NUM
cana-3844	30	3	]	]	PUNCT
cana-3844	30	4	proposed	propose	VERB
cana-3844	30	5	methods	method	NOUN
cana-3844	30	6	one	one	NUM
cana-3844	30	7	by	by	ADP
cana-3844	30	8	one	one	NUM
cana-3844	30	9	to	to	PART
cana-3844	30	10	quantify	quantify	VERB
cana-3844	30	11	the	the	DET
cana-3844	30	12	difference	difference	NOUN
cana-3844	30	13	in	in	ADP
cana-3844	30	14	the	the	DET
cana-3844	30	15	fuzzy	fuzzy	ADJ
cana-3844	30	16	set	set	NOUN
cana-3844	30	17	’s	’s	PART
cana-3844	30	18	membership	membership	NOUN
cana-3844	30	19	function	function	NOUN
cana-3844	30	20	relative	relative	ADJ
cana-3844	30	21	to	to	ADP
cana-3844	30	22	its	its	PRON
cana-3844	30	23	closest	close	ADJ
cana-3844	30	24	structured	structure	VERB
cana-3844	30	25	set	set	NOUN
cana-3844	30	26	and	and	CCONJ
cana-3844	30	27	also	also	ADV
cana-3844	30	28	determined	determine	VERB
cana-3844	30	29	their	their	PRON
cana-3844	30	30	fuzzy	fuzzy	ADJ
cana-3844	30	31	set	set	VERB
cana-3844	30	32	membership	membership	NOUN
cana-3844	30	33	function	function	NOUN
cana-3844	30	34	and	and	CCONJ
cana-3844	30	35	its	its	PRON
cana-3844	30	36	complement	complement	NOUN
cana-3844	30	37	,	,	PUNCT
cana-3844	30	38	respectively	respectively	ADV
cana-3844	30	39	.	.	PUNCT
cana-3844	31	1	at	at	ADP
cana-3844	31	2	the	the	DET
cana-3844	31	3	same	same	ADJ
cana-3844	31	4	time	time	NOUN
cana-3844	31	5	,	,	PUNCT
cana-3844	31	6	the	the	DET
cana-3844	31	7	contradiction	contradiction	NOUN
cana-3844	31	8	to	to	ADP
cana-3844	31	9	the	the	DET
cana-3844	31	10	above	above	ADJ
cana-3844	31	11	belief	belief	NOUN
cana-3844	31	12	,	,	PUNCT
cana-3844	31	13	knowledge	knowledge	NOUN
cana-3844	31	14	get	get	AUX
cana-3844	31	15	measured	measure	VERB
cana-3844	31	16	with	with	ADP
cana-3844	31	17	the	the	DET
cana-3844	31	18	help	help	NOUN
cana-3844	31	19	of	of	ADP
cana-3844	31	20	knowledge	knowledge	NOUN
cana-3844	31	21	measure	measure	NOUN
cana-3844	31	22	that	that	PRON
cana-3844	31	23	termed	term	VERB
cana-3844	31	24	as	as	ADP
cana-3844	31	25	reverse	reverse	NOUN
cana-3844	31	26	of	of	ADP
cana-3844	31	27	fuzzy	fuzzy	ADJ
cana-3844	31	28	information	information	NOUN
cana-3844	31	29	measure	measure	NOUN
cana-3844	31	30	or	or	CCONJ
cana-3844	31	31	uncertainty	uncertainty	NOUN
cana-3844	31	32	.	.	PUNCT
cana-3844	32	1	the	the	DET
cana-3844	32	2	contrast	contrast	NOUN
cana-3844	32	3	between	between	ADP
cana-3844	32	4	an	an	DET
cana-3844	32	5	extreme	extreme	ADJ
cana-3844	32	6	fuzzy	fuzzy	ADJ
cana-3844	32	7	set	set	NOUN
cana-3844	32	8	and	and	CCONJ
cana-3844	32	9	a	a	DET
cana-3844	32	10	fuzzy	fuzzy	ADJ
cana-3844	32	11	set	set	NOUN
cana-3844	32	12	can	can	AUX
cana-3844	32	13	be	be	AUX
cana-3844	32	14	represented	represent	VERB
cana-3844	32	15	through	through	ADP
cana-3844	32	16	knowledge	knowledge	NOUN
cana-3844	32	17	measure	measure	NOUN
cana-3844	32	18	since	since	SCONJ
cana-3844	32	19	an	an	DET
cana-3844	32	20	entropy	entropy	NOUN
cana-3844	32	21	measure	measure	NOUN
cana-3844	32	22	is	be	AUX
cana-3844	32	23	unable	unable	ADJ
cana-3844	32	24	to	to	PART
cana-3844	32	25	capture	capture	VERB
cana-3844	32	26	all	all	PRON
cana-3844	32	27	of	of	ADP
cana-3844	32	28	the	the	DET
cana-3844	32	29	uncertainties	uncertainty	NOUN
cana-3844	32	30	of	of	ADP
cana-3844	32	31	a	a	DET
cana-3844	32	32	fuzzy	fuzzy	ADJ
cana-3844	32	33	set	set	NOUN
cana-3844	32	34	.	.	PUNCT
cana-3844	33	1	they	they	PRON
cana-3844	33	2	,	,	PUNCT
cana-3844	33	3	rather	rather	ADV
cana-3844	33	4	than	than	ADP
cana-3844	33	5	focusing	focus	VERB
cana-3844	33	6	on	on	ADP
cana-3844	33	7	the	the	DET
cana-3844	33	8	relationship	relationship	NOUN
cana-3844	33	9	between	between	ADP
cana-3844	33	10	these	these	DET
cana-3844	33	11	two	two	NUM
cana-3844	33	12	one	one	NUM
cana-3844	33	13	of	of	ADP
cana-3844	33	14	them	they	PRON
cana-3844	33	15	is	be	AUX
cana-3844	33	16	knowledge	knowledge	NOUN
cana-3844	33	17	measure	measure	NOUN
cana-3844	33	18	and	and	CCONJ
cana-3844	33	19	other	other	ADJ
cana-3844	33	20	is	be	AUX
cana-3844	33	21	entropy	entropy	NOUN
cana-3844	33	22	,	,	PUNCT
cana-3844	33	23	we	we	PRON
cana-3844	33	24	introduce	introduce	VERB
cana-3844	33	25	knowledge	knowledge	NOUN
cana-3844	33	26	measure	measure	NOUN
cana-3844	33	27	in	in	ADP
cana-3844	33	28	this	this	DET
cana-3844	33	29	study	study	NOUN
cana-3844	33	30	to	to	PART
cana-3844	33	31	address	address	VERB
cana-3844	33	32	the	the	DET
cana-3844	33	33	problem	problem	NOUN
cana-3844	33	34	that	that	PRON
cana-3844	33	35	entropy	entropy	PROPN
cana-3844	33	36	had	have	AUX
cana-3844	33	37	not	not	PART
cana-3844	33	38	frequently	frequently	ADV
cana-3844	33	39	evaluated	evaluate	VERB
cana-3844	33	40	.	.	PUNCT
cana-3844	34	1	das	das	PROPN
cana-3844	34	2	et	et	PROPN
cana-3844	34	3	al	al	PROPN
cana-3844	34	4	.	.	PUNCT
cana-3844	35	1	[	[	X
cana-3844	35	2	7	7	X
cana-3844	35	3	]	]	PUNCT
cana-3844	35	4	found	find	VERB
cana-3844	35	5	that	that	SCONJ
cana-3844	35	6	while	while	SCONJ
cana-3844	35	7	addressing	address	VERB
cana-3844	35	8	multi	multi	ADJ
cana-3844	35	9	-	-	ADJ
cana-3844	35	10	criterion	criterion	NOUN
cana-3844	35	11	decision	decision	NOUN
cana-3844	35	12	-	-	PUNCT
cana-3844	35	13	making	making	NOUN
cana-3844	35	14	(	(	PUNCT
cana-3844	35	15	mcdm	mcdm	ADJ
cana-3844	35	16	)	)	PUNCT
cana-3844	35	17	problems	problem	NOUN
cana-3844	35	18	,	,	PUNCT
cana-3844	35	19	the	the	DET
cana-3844	35	20	knowledge	knowledge	NOUN
cana-3844	35	21	measure	measure	NOUN
cana-3844	35	22	was	be	AUX
cana-3844	35	23	applied	apply	VERB
cana-3844	35	24	to	to	PART
cana-3844	35	25	determine	determine	VERB
cana-3844	35	26	the	the	DET
cana-3844	35	27	weight	weight	NOUN
cana-3844	35	28	of	of	ADP
cana-3844	35	29	each	each	PRON
cana-3844	35	30	and	and	CCONJ
cana-3844	35	31	every	every	DET
cana-3844	35	32	attribute	attribute	NOUN
cana-3844	35	33	.	.	PUNCT
cana-3844	36	1	in	in	ADP
cana-3844	36	2	an	an	DET
cana-3844	36	3	mcdm	mcdm	ADJ
cana-3844	36	4	problem	problem	NOUN
cana-3844	36	5	,	,	PUNCT
cana-3844	36	6	we	we	PRON
cana-3844	36	7	search	search	VERB
cana-3844	36	8	the	the	DET
cana-3844	36	9	various	various	ADJ
cana-3844	36	10	alternatives	alternative	NOUN
cana-3844	36	11	to	to	PART
cana-3844	36	12	choose	choose	VERB
cana-3844	36	13	a	a	DET
cana-3844	36	14	particular	particular	ADJ
cana-3844	36	15	choice	choice	NOUN
cana-3844	36	16	that	that	PRON
cana-3844	36	17	meets	meet	VERB
cana-3844	36	18	the	the	DET
cana-3844	36	19	requirement	requirement	NOUN
cana-3844	36	20	of	of	ADP
cana-3844	36	21	predetermined	predetermine	VERB
cana-3844	36	22	criteria	criterion	NOUN
cana-3844	36	23	.	.	PUNCT
cana-3844	37	1	every	every	DET
cana-3844	37	2	mcdm	mcdm	ADJ
cana-3844	37	3	problem	problem	NOUN
cana-3844	37	4	conclusion	conclusion	NOUN
cana-3844	37	5	includes	include	VERB
cana-3844	37	6	a	a	DET
cana-3844	37	7	crucial	crucial	ADJ
cana-3844	37	8	term	term	NOUN
cana-3844	37	9	,	,	PUNCT
cana-3844	37	10	such	such	ADJ
cana-3844	37	11	as	as	ADP
cana-3844	37	12	weight	weight	NOUN
cana-3844	37	13	of	of	ADP
cana-3844	37	14	the	the	DET
cana-3844	37	15	criteria	criterion	NOUN
cana-3844	37	16	.	.	PUNCT
cana-3844	38	1	we	we	PRON
cana-3844	38	2	can	can	AUX
cana-3844	38	3	use	use	VERB
cana-3844	38	4	the	the	DET
cana-3844	38	5	weights	weight	NOUN
cana-3844	38	6	for	for	ADP
cana-3844	38	7	the	the	DET
cana-3844	38	8	justified	justified	ADJ
cana-3844	38	9	criteria	criterion	NOUN
cana-3844	38	10	to	to	PART
cana-3844	38	11	determine	determine	VERB
cana-3844	38	12	,	,	PUNCT
cana-3844	38	13	which	which	DET
cana-3844	38	14	choice	choice	NOUN
cana-3844	38	15	is	be	AUX
cana-3844	38	16	best	good	ADJ
cana-3844	38	17	.	.	PUNCT
cana-3844	39	1	in	in	ADP
cana-3844	39	2	(	(	PUNCT
cana-3844	39	3	1998	1998	NUM
cana-3844	39	4	)	)	PUNCT
cana-3844	39	5	a	a	DET
cana-3844	39	6	new	new	ADJ
cana-3844	39	7	technique	technique	NOUN
cana-3844	39	8	which	which	PRON
cana-3844	39	9	is	be	AUX
cana-3844	39	10	known	know	VERB
cana-3844	39	11	as	as	ADP
cana-3844	39	12	vikor	vikor	ADJ
cana-3844	39	13	was	be	AUX
cana-3844	39	14	introduced	introduce	VERB
cana-3844	39	15	by	by	ADP
cana-3844	39	16	opricovic	opricovic	PROPN
cana-3844	39	17	[	[	X
cana-3844	39	18	8	8	NUM
cana-3844	39	19	]	]	PUNCT
cana-3844	39	20	for	for	ADP
cana-3844	39	21	addressing	address	VERB
cana-3844	39	22	mcdm	mcdm	ADJ
cana-3844	39	23	problems	problem	NOUN
cana-3844	39	24	.	.	PUNCT
cana-3844	40	1	in	in	ADP
cana-3844	40	2	order	order	NOUN
cana-3844	40	3	to	to	PART
cana-3844	40	4	resolve	resolve	VERB
cana-3844	40	5	a	a	DET
cana-3844	40	6	disagreement	disagreement	NOUN
cana-3844	40	7	,	,	PUNCT
cana-3844	40	8	compromise	compromise	NOUN
cana-3844	40	9	is	be	AUX
cana-3844	40	10	accepted	accept	VERB
cana-3844	40	11	,	,	PUNCT
cana-3844	40	12	the	the	DET
cana-3844	40	13	best	good	ADJ
cana-3844	40	14	option	option	NOUN
cana-3844	40	15	is	be	AUX
cana-3844	40	16	sought	seek	VERB
cana-3844	40	17	after	after	ADP
cana-3844	40	18	by	by	ADP
cana-3844	40	19	the	the	DET
cana-3844	40	20	decision	decision	NOUN
cana-3844	40	21	maker	maker	NOUN
cana-3844	40	22	,	,	PUNCT
cana-3844	40	23	and	and	CCONJ
cana-3844	40	24	all	all	DET
cana-3844	40	25	the	the	DET
cana-3844	40	26	predetermined	predetermine	VERB
cana-3844	40	27	criteria	criterion	NOUN
cana-3844	40	28	are	be	AUX
cana-3844	40	29	taken	take	VERB
cana-3844	40	30	into	into	ADP
cana-3844	40	31	account	account	NOUN
cana-3844	40	32	when	when	SCONJ
cana-3844	40	33	evaluating	evaluate	VERB
cana-3844	40	34	the	the	DET
cana-3844	40	35	options	option	NOUN
cana-3844	40	36	.	.	PUNCT
cana-3844	41	1	by	by	ADP
cana-3844	41	2	ranking	rank	VERB
cana-3844	41	3	the	the	DET
cana-3844	41	4	options	option	NOUN
cana-3844	41	5	,	,	PUNCT
cana-3844	41	6	vikor	vikor	ADJ
cana-3844	41	7	finds	find	VERB
cana-3844	41	8	the	the	DET
cana-3844	41	9	compromise	compromise	NOUN
cana-3844	41	10	that	that	PRON
cana-3844	41	11	comes	come	VERB
cana-3844	41	12	the	the	DET
cana-3844	41	13	closest	close	ADJ
cana-3844	41	14	to	to	ADP
cana-3844	41	15	the	the	DET
cana-3844	41	16	ideal	ideal	NOUN
cana-3844	41	17	.	.	PUNCT
cana-3844	42	1	the	the	DET
cana-3844	42	2	fuzzy	fuzzy	ADJ
cana-3844	42	3	accuracy	accuracy	NOUN
cana-3844	42	4	measure	measure	NOUN
cana-3844	42	5	is	be	AUX
cana-3844	42	6	used	use	VERB
cana-3844	42	7	in	in	ADP
cana-3844	42	8	the	the	DET
cana-3844	42	9	proposed	propose	VERB
cana-3844	42	10	approach	approach	NOUN
cana-3844	42	11	rather	rather	ADV
cana-3844	42	12	than	than	ADP
cana-3844	42	13	distance	distance	NOUN
cana-3844	42	14	measure	measure	NOUN
cana-3844	42	15	the	the	DET
cana-3844	42	16	outcomes	outcome	NOUN
cana-3844	42	17	are	be	AUX
cana-3844	42	18	highly	highly	ADV
cana-3844	42	19	positive	positive	ADJ
cana-3844	42	20	.	.	PUNCT
cana-3844	43	1	most	most	ADJ
cana-3844	43	2	researchers	researcher	NOUN
cana-3844	43	3	used	use	VERB
cana-3844	43	4	distance	distance	NOUN
cana-3844	43	5	measure	measure	NOUN
cana-3844	43	6	to	to	PART
cana-3844	43	7	compute	compute	VERB
cana-3844	43	8	maximum	maximum	ADJ
cana-3844	43	9	benefit	benefit	NOUN
cana-3844	43	10	to	to	ADP
cana-3844	43	11	the	the	DET
cana-3844	43	12	group	group	NOUN
cana-3844	43	13	and	and	CCONJ
cana-3844	43	14	least	least	ADJ
cana-3844	43	15	amount	amount	NOUN
cana-3844	43	16	of	of	ADP
cana-3844	43	17	personal	personal	ADJ
cana-3844	43	18	sorrow	sorrow	NOUN
cana-3844	43	19	in	in	ADP
cana-3844	43	20	the	the	DET
cana-3844	43	21	earlier	early	ADV
cana-3844	43	22	vikor	vikor	ADJ
cana-3844	43	23	approach	approach	NOUN
cana-3844	43	24	,	,	PUNCT
cana-3844	43	25	however	however	ADV
cana-3844	43	26	,	,	PUNCT
cana-3844	43	27	in	in	ADP
cana-3844	43	28	certain	certain	ADJ
cana-3844	43	29	places	place	NOUN
cana-3844	43	30	,	,	PUNCT
cana-3844	43	31	a	a	DET
cana-3844	43	32	few	few	ADJ
cana-3844	43	33	handy	handy	ADJ
cana-3844	43	34	standardized	standardize	VERB
cana-3844	43	35	the	the	DET
cana-3844	43	36	reason	reason	NOUN
cana-3844	43	37	why	why	SCONJ
cana-3844	43	38	the	the	DET
cana-3844	43	39	standard	standard	ADJ
cana-3844	43	40	results	result	NOUN
cana-3844	43	41	of	of	ADP
cana-3844	43	42	distance	distance	NOUN
cana-3844	43	43	measure	measure	NOUN
cana-3844	43	44	are	be	AUX
cana-3844	43	45	not	not	PART
cana-3844	43	46	followed	follow	VERB
cana-3844	43	47	is	be	AUX
cana-3844	43	48	current	current	ADJ
cana-3844	43	49	measure	measure	NOUN
cana-3844	43	50	are	be	AUX
cana-3844	43	51	counter	counter	NOUN
cana-3844	43	52	intuitive	intuitive	ADJ
cana-3844	43	53	.	.	PUNCT
cana-3844	44	1	as	as	ADP
cana-3844	44	2	a	a	DET
cana-3844	44	3	result	result	NOUN
cana-3844	44	4	,	,	PUNCT
cana-3844	44	5	the	the	DET
cana-3844	44	6	mcdm	mcdm	ADJ
cana-3844	44	7	topics	topic	NOUN
cana-3844	44	8	that	that	PRON
cana-3844	44	9	depend	depend	VERB
cana-3844	44	10	on	on	ADP
cana-3844	44	11	them	they	PRON
cana-3844	44	12	lose	lose	VERB
cana-3844	44	13	credibility	credibility	NOUN
cana-3844	44	14	and	and	CCONJ
cana-3844	44	15	become	become	VERB
cana-3844	44	16	less	less	ADV
cana-3844	44	17	valuable	valuable	ADJ
cana-3844	44	18	and	and	CCONJ
cana-3844	44	19	the	the	DET
cana-3844	44	20	solution	solution	NOUN
cana-3844	44	21	got	get	VERB
cana-3844	44	22	by	by	ADP
cana-3844	44	23	applying	apply	VERB
cana-3844	44	24	these	these	DET
cana-3844	44	25	measure	measure	NOUN
cana-3844	44	26	has	have	AUX
cana-3844	44	27	lost	lose	VERB
cana-3844	44	28	its	its	PRON
cana-3844	44	29	properties	property	NOUN
cana-3844	44	30	of	of	ADP
cana-3844	44	31	proximity	proximity	NOUN
cana-3844	44	32	to	to	ADP
cana-3844	44	33	the	the	DET
cana-3844	44	34	optimal	optimal	ADJ
cana-3844	44	35	,	,	PUNCT
cana-3844	44	36	ideal	ideal	ADJ
cana-3844	44	37	solution	solution	NOUN
cana-3844	44	38	.	.	PUNCT
cana-3844	45	1	a	a	DET
cana-3844	45	2	variety	variety	NOUN
cana-3844	45	3	of	of	ADP
cana-3844	45	4	techniques	technique	NOUN
cana-3844	45	5	can	can	AUX
cana-3844	45	6	be	be	AUX
cana-3844	45	7	selected	select	VERB
cana-3844	45	8	to	to	PART
cana-3844	45	9	get	get	VERB
cana-3844	45	10	best	good	ADJ
cana-3844	45	11	opinion	opinion	NOUN
cana-3844	45	12	in	in	ADP
cana-3844	45	13	mcdm	mcdm	ADJ
cana-3844	45	14	problems	problem	NOUN
cana-3844	45	15	.	.	PUNCT
cana-3844	46	1	these	these	PRON
cana-3844	46	2	are	be	AUX
cana-3844	46	3	termed	term	VERB
cana-3844	46	4	as	as	ADP
cana-3844	46	5	vikor	vikor	ADJ
cana-3844	46	6	,	,	PUNCT
cana-3844	46	7	electra	electra	PROPN
cana-3844	46	8	,	,	PUNCT
cana-3844	46	9	topsis	topsis	NOUN
cana-3844	46	10	,	,	PUNCT
cana-3844	46	11	aras	ara	NOUN
cana-3844	46	12	,	,	PUNCT
cana-3844	46	13	todim	todim	NOUN
cana-3844	46	14	etc	etc	X
cana-3844	46	15	.	.	X
cana-3844	47	1	in	in	ADP
cana-3844	47	2	this	this	PRON
cana-3844	47	3	we	we	PRON
cana-3844	47	4	also	also	ADV
cana-3844	47	5	use	use	VERB
cana-3844	47	6	the	the	DET
cana-3844	47	7	gra	gra	PROPN
cana-3844	47	8	method	method	NOUN
cana-3844	47	9	.	.	PUNCT
cana-3844	48	1	some	some	PRON
cana-3844	48	2	of	of	ADP
cana-3844	48	3	the	the	DET
cana-3844	48	4	researchers	researcher	NOUN
cana-3844	48	5	used	use	VERB
cana-3844	48	6	combined	combined	ADJ
cana-3844	48	7	approach	approach	NOUN
cana-3844	48	8	of	of	ADP
cana-3844	48	9	two	two	NUM
cana-3844	48	10	different	different	ADJ
cana-3844	48	11	methods	method	NOUN
cana-3844	48	12	.	.	PUNCT
cana-3844	49	1	vikor	vikor	ADJ
cana-3844	49	2	technique	technique	NOUN
cana-3844	49	3	was	be	AUX
cana-3844	49	4	used	use	VERB
cana-3844	49	5	by	by	ADP
cana-3844	49	6	shemshadi	shemshadi	NOUN
cana-3844	49	7	et	et	PROPN
cana-3844	49	8	al	al	PROPN
cana-3844	49	9	.	.	PUNCT
cana-3844	50	1	[	[	X
cana-3844	50	2	9	9	NUM
cana-3844	50	3	]	]	PUNCT
cana-3844	50	4	to	to	PART
cana-3844	50	5	solve	solve	VERB
cana-3844	50	6	the	the	DET
cana-3844	50	7	issue	issue	NOUN
cana-3844	50	8	of	of	ADP
cana-3844	50	9	supplier	supplier	NOUN
cana-3844	50	10	selection	selection	NOUN
cana-3844	50	11	and	and	CCONJ
cana-3844	50	12	some	some	PRON
cana-3844	50	13	is	be	AUX
cana-3844	50	14	used	use	VERB
cana-3844	50	15	by	by	ADP
cana-3844	50	16	wan	wan	PROPN
cana-3844	50	17	et	et	PROPN
cana-3844	50	18	al	al	PROPN
cana-3844	50	19	.	.	PUNCT
cana-3844	51	1	[	[	X
cana-3844	51	2	10	10	NUM
cana-3844	51	3	]	]	PUNCT
cana-3844	51	4	in	in	ADP
cana-3844	51	5	resolving	resolve	VERB
cana-3844	51	6	group	group	NOUN
cana-3844	51	7	decision	decision	NOUN
cana-3844	51	8	making	make	VERB
cana-3844	51	9	issues	issue	NOUN
cana-3844	51	10	with	with	ADP
cana-3844	51	11	several	several	ADJ
cana-3844	51	12	attributes	attribute	NOUN
cana-3844	51	13	.	.	PUNCT
cana-3844	52	1	todim	todim	NOUN
cana-3844	52	2	-	-	PUNCT
cana-3844	52	3	electra	electra	PROPN
cana-3844	52	4	method	method	NOUN
cana-3844	52	5	to	to	PART
cana-3844	52	6	hire	hire	VERB
cana-3844	52	7	a	a	DET
cana-3844	52	8	local	local	ADJ
cana-3844	52	9	partner	partner	NOUN
cana-3844	52	10	for	for	ADP
cana-3844	52	11	a	a	DET
cana-3844	52	12	multinational	multinational	ADJ
cana-3844	52	13	footwear	footwear	NOUN
cana-3844	52	14	company	company	NOUN
cana-3844	52	15	was	be	AUX
cana-3844	52	16	used	use	VERB
cana-3844	52	17	by	by	ADP
cana-3844	52	18	earlier	early	ADJ
cana-3844	52	19	researcher	researcher	NOUN
cana-3844	52	20	.	.	PUNCT
cana-3844	53	1	after	after	ADP
cana-3844	53	2	the	the	DET
cana-3844	53	3	covid-19	covid-19	PROPN
cana-3844	53	4	pandemic	pandemic	NOUN
cana-3844	53	5	,	,	PUNCT
cana-3844	53	6	kadian	kadian	NOUN
cana-3844	53	7	and	and	CCONJ
cana-3844	53	8	kumar	kumar	PROPN
cana-3844	53	9	[	[	X
cana-3844	53	10	11	11	NUM
cana-3844	53	11	]	]	PUNCT
cana-3844	53	12	proposed	propose	VERB
cana-3844	53	13	a	a	DET
cana-3844	53	14	method	method	NOUN
cana-3844	53	15	for	for	ADP
cana-3844	53	16	pattern	pattern	NOUN
cana-3844	53	17	recognition	recognition	NOUN
cana-3844	53	18	and	and	CCONJ
cana-3844	53	19	outbreaks	outbreak	NOUN
cana-3844	53	20	of	of	ADP
cana-3844	53	21	covid-19	covid-19	PROPN
cana-3844	53	22	.	.	PUNCT
cana-3844	54	1	everyone	everyone	PRON
cana-3844	54	2	is	be	AUX
cana-3844	54	3	impacted	impact	VERB
cana-3844	54	4	by	by	ADP
cana-3844	54	5	environmental	environmental	ADJ
cana-3844	54	6	contamination	contamination	NOUN
cana-3844	54	7	and	and	CCONJ
cana-3844	54	8	the	the	DET
cana-3844	54	9	variables	variable	NOUN
cana-3844	54	10	that	that	PRON
cana-3844	54	11	trigger	trigger	NOUN
cana-3844	54	12	pollution	pollution	NOUN
cana-3844	54	13	in	in	ADP
cana-3844	54	14	contemporary	contemporary	ADJ
cana-3844	54	15	times	time	NOUN
cana-3844	54	16	.	.	PUNCT
cana-3844	55	1	thus	thus	ADV
cana-3844	55	2	,	,	PUNCT
cana-3844	55	3	reducing	reduce	VERB
cana-3844	55	4	the	the	DET
cana-3844	55	5	amount	amount	NOUN
cana-3844	55	6	of	of	ADP
cana-3844	55	7	elements	element	NOUN
cana-3844	55	8	that	that	PRON
cana-3844	55	9	create	create	VERB
cana-3844	55	10	pollution	pollution	NOUN
cana-3844	55	11	is	be	AUX
cana-3844	55	12	vital	vital	ADJ
cana-3844	55	13	.	.	PUNCT
cana-3844	56	1	in	in	ADP
cana-3844	56	2	this	this	DET
cana-3844	56	3	study	study	NOUN
cana-3844	56	4	,	,	PUNCT
cana-3844	56	5	we	we	PRON
cana-3844	56	6	address	address	VERB
cana-3844	56	7	optimization	optimization	NOUN
cana-3844	56	8	approaches	approach	NOUN
cana-3844	56	9	for	for	ADP
cana-3844	56	10	reducing	reduce	VERB
cana-3844	56	11	carbon	carbon	NOUN
cana-3844	56	12	dioxide	dioxide	NOUN
cana-3844	56	13	and	and	CCONJ
cana-3844	56	14	ammonia	ammonia	NOUN
cana-3844	56	15	and	and	CCONJ
cana-3844	56	16	how	how	SCONJ
cana-3844	56	17	to	to	PART
cana-3844	56	18	accomplish	accomplish	VERB
cana-3844	56	19	.	.	PUNCT
cana-3844	57	1	thus	thus	ADV
cana-3844	57	2	,	,	PUNCT
cana-3844	57	3	a	a	DET
cana-3844	57	4	multi	multi	ADJ
cana-3844	57	5	-	-	ADJ
cana-3844	57	6	criteria	criteria	ADJ
cana-3844	57	7	approach	approach	NOUN
cana-3844	57	8	is	be	AUX
cana-3844	57	9	needed	need	VERB
cana-3844	57	10	to	to	PART
cana-3844	57	11	prioritize	prioritize	VERB
cana-3844	57	12	the	the	DET
cana-3844	57	13	alternatives	alternative	NOUN
cana-3844	57	14	for	for	ADP
cana-3844	57	15	reducing	reduce	VERB
cana-3844	57	16	pollutants	pollutant	NOUN
cana-3844	57	17	through	through	ADP
cana-3844	57	18	this	this	PRON
cana-3844	57	19	.	.	PUNCT
cana-3844	58	1	multi	multi	ADJ
cana-3844	58	2	-	-	NOUN
cana-3844	58	3	criteria	criterion	NOUN
cana-3844	58	4	decision	decision	NOUN
cana-3844	58	5	-	-	PUNCT
cana-3844	58	6	making	making	NOUN
cana-3844	58	7	(	(	PUNCT
cana-3844	58	8	mcdm	mcdm	ADJ
cana-3844	58	9	)	)	PUNCT
cana-3844	58	10	is	be	AUX
cana-3844	58	11	a	a	DET
cana-3844	58	12	useful	useful	ADJ
cana-3844	58	13	technique	technique	NOUN
cana-3844	58	14	communications	communication	NOUN
cana-3844	58	15	on	on	ADP
cana-3844	58	16	applied	apply	VERB
cana-3844	58	17	nonlinear	nonlinear	ADJ
cana-3844	58	18	analysis	analysis	NOUN
cana-3844	58	19	issn	issn	NOUN
cana-3844	58	20	:	:	PUNCT
cana-3844	58	21	1074	1074	NUM
cana-3844	58	22	-	-	PUNCT
cana-3844	58	23	133x	133x	NUM
cana-3844	58	24	vol	vol	NOUN
cana-3844	58	25	32	32	NUM
cana-3844	58	26	no	no	NOUN
cana-3844	58	27	.	.	PUNCT
cana-3844	59	1	9s	9s	NUM
cana-3844	59	2	(	(	PUNCT
cana-3844	59	3	2025	2025	NUM
cana-3844	59	4	)	)	PUNCT
cana-3844	59	5	137	137	NUM
cana-3844	59	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	60	1	for	for	ADP
cana-3844	60	2	contrary	contrary	ADJ
cana-3844	60	3	in	in	ADP
cana-3844	60	4	this	this	DET
cana-3844	60	5	context	context	NOUN
cana-3844	60	6	.	.	PUNCT
cana-3844	61	1	this	this	DET
cana-3844	61	2	paper	paper	NOUN
cana-3844	61	3	uses	use	VERB
cana-3844	61	4	the	the	DET
cana-3844	61	5	grey	grey	ADJ
cana-3844	61	6	relational	relational	ADJ
cana-3844	61	7	analysis	analysis	NOUN
cana-3844	61	8	(	(	PUNCT
cana-3844	61	9	gra	gra	PROPN
cana-3844	61	10	)	)	PUNCT
cana-3844	61	11	with	with	ADP
cana-3844	61	12	a	a	DET
cana-3844	61	13	multicriteria	multicriteria	PROPN
cana-3844	61	14	assessment	assessment	NOUN
cana-3844	61	15	model	model	NOUN
cana-3844	61	16	and	and	CCONJ
cana-3844	61	17	a	a	DET
cana-3844	61	18	new	new	ADJ
cana-3844	61	19	knowledge	knowledge	NOUN
cana-3844	61	20	measure	measure	NOUN
cana-3844	61	21	formula	formula	NOUN
cana-3844	61	22	and	and	CCONJ
cana-3844	61	23	other	other	ADJ
cana-3844	61	24	earlier	early	ADJ
cana-3844	61	25	approaches	approach	NOUN
cana-3844	61	26	.	.	PUNCT
cana-3844	62	1	recent	recent	ADJ
cana-3844	62	2	developments	development	NOUN
cana-3844	62	3	in	in	ADP
cana-3844	62	4	the	the	DET
cana-3844	62	5	decision	decision	NOUN
cana-3844	62	6	-	-	PUNCT
cana-3844	62	7	making	make	VERB
cana-3844	62	8	sciences	science	NOUN
cana-3844	62	9	have	have	AUX
cana-3844	62	10	increased	increase	VERB
cana-3844	62	11	the	the	DET
cana-3844	62	12	acceptability	acceptability	NOUN
cana-3844	62	13	and	and	CCONJ
cana-3844	62	14	accessibility	accessibility	NOUN
cana-3844	62	15	of	of	ADP
cana-3844	62	16	mcdm	mcdm	ADJ
cana-3844	62	17	techniques	technique	NOUN
cana-3844	62	18	.	.	PUNCT
cana-3844	63	1	the	the	DET
cana-3844	63	2	acceptance	acceptance	NOUN
cana-3844	63	3	and	and	CCONJ
cana-3844	63	4	accessibility	accessibility	NOUN
cana-3844	63	5	of	of	ADP
cana-3844	63	6	mcdm	mcdm	ADJ
cana-3844	63	7	approaches	approach	NOUN
cana-3844	63	8	have	have	AUX
cana-3844	63	9	increased	increase	VERB
cana-3844	63	10	recently	recently	ADV
cana-3844	63	11	.	.	PUNCT
cana-3844	64	1	the	the	DET
cana-3844	64	2	creation	creation	NOUN
cana-3844	64	3	of	of	ADP
cana-3844	64	4	mcdm	mcdm	ADJ
cana-3844	64	5	techniques	technique	NOUN
cana-3844	64	6	is	be	AUX
cana-3844	64	7	driven	drive	VERB
cana-3844	64	8	by	by	ADP
cana-3844	64	9	a	a	DET
cana-3844	64	10	variety	variety	NOUN
cana-3844	64	11	of	of	ADP
cana-3844	64	12	real	real	ADJ
cana-3844	64	13	-	-	PUNCT
cana-3844	64	14	world	world	NOUN
cana-3844	64	15	issues	issue	NOUN
cana-3844	64	16	that	that	PRON
cana-3844	64	17	call	call	VERB
cana-3844	64	18	for	for	ADP
cana-3844	64	19	the	the	DET
cana-3844	64	20	evaluation	evaluation	NOUN
cana-3844	64	21	of	of	ADP
cana-3844	64	22	several	several	ADJ
cana-3844	64	23	factors	factor	NOUN
cana-3844	64	24	.	.	PUNCT
cana-3844	65	1	this	this	DET
cana-3844	65	2	paper	paper	NOUN
cana-3844	65	3	presents	present	VERB
cana-3844	65	4	an	an	DET
cana-3844	65	5	effort	effort	NOUN
cana-3844	65	6	to	to	PART
cana-3844	65	7	determine	determine	VERB
cana-3844	65	8	the	the	DET
cana-3844	65	9	ideal	ideal	ADJ
cana-3844	65	10	concentration	concentration	NOUN
cana-3844	65	11	of	of	ADP
cana-3844	65	12	ammonia	ammonia	NOUN
cana-3844	65	13	and	and	CCONJ
cana-3844	65	14	carbon	carbon	NOUN
cana-3844	65	15	dioxide	dioxide	NOUN
cana-3844	65	16	.	.	PUNCT
cana-3844	66	1	specifically	specifically	ADV
cana-3844	66	2	,	,	PUNCT
cana-3844	66	3	algal	algal	ADJ
cana-3844	66	4	cell	cell	NOUN
cana-3844	66	5	concentration	concentration	NOUN
cana-3844	66	6	was	be	AUX
cana-3844	66	7	used	use	VERB
cana-3844	66	8	to	to	PART
cana-3844	66	9	test	test	VERB
cana-3844	66	10	biological	biological	ADJ
cana-3844	66	11	performance	performance	NOUN
cana-3844	66	12	,	,	PUNCT
cana-3844	66	13	whereas	whereas	SCONJ
cana-3844	66	14	carbon	carbon	NOUN
cana-3844	66	15	dioxide	dioxide	NOUN
cana-3844	66	16	fixation	fixation	NOUN
cana-3844	66	17	rate	rate	NOUN
cana-3844	66	18	,	,	PUNCT
cana-3844	66	19	ammonia	ammonia	NOUN
cana-3844	66	20	fixation	fixation	NOUN
cana-3844	66	21	efficiency	efficiency	NOUN
cana-3844	66	22	,	,	PUNCT
cana-3844	66	23	carbon	carbon	NOUN
cana-3844	66	24	dioxide	dioxide	NOUN
cana-3844	66	25	removal	removal	NOUN
cana-3844	66	26	efficiency	efficiency	NOUN
cana-3844	66	27	,	,	PUNCT
cana-3844	66	28	and	and	CCONJ
cana-3844	66	29	ammonia	ammonia	NOUN
cana-3844	66	30	removal	removal	NOUN
cana-3844	66	31	efficiency	efficiency	NOUN
cana-3844	66	32	were	be	AUX
cana-3844	66	33	used	use	VERB
cana-3844	66	34	to	to	PART
cana-3844	66	35	measure	measure	VERB
cana-3844	66	36	environmental	environmental	ADJ
cana-3844	66	37	performance	performance	NOUN
cana-3844	66	38	.	.	PUNCT
cana-3844	67	1	multiple	multiple	ADJ
cana-3844	67	2	-	-	PUNCT
cana-3844	67	3	step	step	NOUN
cana-3844	67	4	processes	process	NOUN
cana-3844	67	5	are	be	AUX
cana-3844	67	6	carried	carry	VERB
cana-3844	67	7	out	out	ADP
cana-3844	67	8	consistently	consistently	ADV
cana-3844	67	9	.	.	PUNCT
cana-3844	68	1	this	this	DET
cana-3844	68	2	study	study	NOUN
cana-3844	68	3	’s	’s	PART
cana-3844	68	4	primary	primary	ADJ
cana-3844	68	5	goal	goal	NOUN
cana-3844	68	6	is	be	AUX
cana-3844	68	7	to	to	PART
cana-3844	68	8	develop	develop	VERB
cana-3844	68	9	a	a	DET
cana-3844	68	10	fuzzy	fuzzy	ADJ
cana-3844	68	11	set	set	NOUN
cana-3844	68	12	of	of	ADP
cana-3844	68	13	measure	measure	NOUN
cana-3844	68	14	and	and	CCONJ
cana-3844	68	15	provide	provide	VERB
cana-3844	68	16	instances	instance	NOUN
cana-3844	68	17	to	to	PART
cana-3844	68	18	support	support	VERB
cana-3844	68	19	its	its	PRON
cana-3844	68	20	validity	validity	NOUN
cana-3844	68	21	.	.	PUNCT
cana-3844	69	1	it	it	PRON
cana-3844	69	2	also	also	ADV
cana-3844	69	3	introduces	introduce	VERB
cana-3844	69	4	an	an	DET
cana-3844	69	5	accuracy	accuracy	NOUN
cana-3844	69	6	measure	measure	NOUN
cana-3844	69	7	,	,	PUNCT
cana-3844	69	8	which	which	PRON
cana-3844	69	9	is	be	AUX
cana-3844	69	10	a	a	DET
cana-3844	69	11	generalized	generalized	ADJ
cana-3844	69	12	version	version	NOUN
cana-3844	69	13	of	of	ADP
cana-3844	69	14	the	the	DET
cana-3844	69	15	stated	state	VERB
cana-3844	69	16	knowledge	knowledge	NOUN
cana-3844	69	17	measure	measure	NOUN
cana-3844	69	18	.	.	PUNCT
cana-3844	70	1	the	the	DET
cana-3844	70	2	stated	state	VERB
cana-3844	70	3	measure	measure	NOUN
cana-3844	70	4	is	be	AUX
cana-3844	70	5	then	then	ADV
cana-3844	70	6	implement	implement	ADJ
cana-3844	70	7	to	to	ADP
cana-3844	70	8	mcdm	mcdm	ADJ
cana-3844	70	9	problems	problem	NOUN
cana-3844	70	10	that	that	PRON
cana-3844	70	11	undergone	undergo	VERB
cana-3844	70	12	fuzzy	fuzzy	ADJ
cana-3844	70	13	conditions	condition	NOUN
cana-3844	70	14	as	as	ADV
cana-3844	70	15	well	well	ADV
cana-3844	70	16	as	as	ADP
cana-3844	70	17	its	its	PRON
cana-3844	70	18	major	major	ADJ
cana-3844	70	19	properties	property	NOUN
cana-3844	70	20	are	be	AUX
cana-3844	70	21	demonstrated	demonstrate	VERB
cana-3844	70	22	through	through	ADP
cana-3844	70	23	practical	practical	ADJ
cana-3844	70	24	examples	example	NOUN
cana-3844	70	25	and	and	CCONJ
cana-3844	70	26	comparative	comparative	ADJ
cana-3844	70	27	analysis	analysis	NOUN
cana-3844	70	28	.	.	PUNCT
cana-3844	71	1	finally	finally	ADV
cana-3844	71	2	,	,	PUNCT
cana-3844	71	3	the	the	DET
cana-3844	71	4	proposed	propose	VERB
cana-3844	71	5	approach	approach	NOUN
cana-3844	71	6	is	be	AUX
cana-3844	71	7	tested	test	VERB
cana-3844	71	8	in	in	ADP
cana-3844	71	9	mcdm	mcdm	ADJ
cana-3844	71	10	problem	problem	NOUN
cana-3844	71	11	using	use	VERB
cana-3844	71	12	the	the	DET
cana-3844	71	13	gra	gra	PROPN
cana-3844	71	14	method	method	NOUN
cana-3844	71	15	.	.	PUNCT
cana-3844	72	1	2	2	X
cana-3844	72	2	.	.	X
cana-3844	72	3	some	some	DET
cana-3844	72	4	preliminaries	preliminary	NOUN
cana-3844	72	5	a	a	DET
cana-3844	72	6	couple	couple	NOUN
cana-3844	72	7	of	of	ADP
cana-3844	72	8	key	key	ADJ
cana-3844	72	9	definitions	definition	NOUN
cana-3844	72	10	are	be	AUX
cana-3844	72	11	provided	provide	VERB
cana-3844	72	12	in	in	ADP
cana-3844	72	13	this	this	DET
cana-3844	72	14	segment	segment	NOUN
cana-3844	72	15	.	.	PUNCT
cana-3844	73	1	definition	definition	NOUN
cana-3844	73	2	1	1	NUM
cana-3844	73	3	let	let	VERB
cana-3844	73	4	us	we	PRON
cana-3844	73	5	assume	assume	VERB
cana-3844	73	6	a	a	DET
cana-3844	73	7	finite	finite	NOUN
cana-3844	73	8	set	set	VERB
cana-3844	73	9	p(≠	p(≠	PROPN
cana-3844	73	10	𝜙	𝜙	NOUN
cana-3844	73	11	)	)	PUNCT
cana-3844	73	12	.	.	PUNCT
cana-3844	74	1	zadeh	zadeh	NOUN
cana-3844	75	1	[	[	X
cana-3844	75	2	1	1	X
cana-3844	75	3	]	]	PUNCT
cana-3844	75	4	defined	define	VERB
cana-3844	75	5	the	the	DET
cana-3844	75	6	fuzzy	fuzzy	ADJ
cana-3844	75	7	set	set	NOUN
cana-3844	75	8	q	q	PUNCT
cana-3844	75	9	as	as	ADP
cana-3844	75	10	𝑄	𝑄	PROPN
cana-3844	75	11	=	=	SYM
cana-3844	75	12	{	{	PUNCT
cana-3844	75	13	〈	〈	NOUN
cana-3844	75	14	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	75	15	,	,	PUNCT
cana-3844	75	16	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	75	17	)	)	PUNCT
cana-3844	75	18	〉	〉	NOUN
cana-3844	75	19	:	:	PUNCT
cana-3844	75	20	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	75	21	∈	∈	PROPN
cana-3844	75	22	𝑃	𝑃	PROPN
cana-3844	75	23	}	}	PUNCT
cana-3844	75	24	,	,	PUNCT
cana-3844	75	25	(	(	PUNCT
cana-3844	75	26	1	1	X
cana-3844	75	27	)	)	PUNCT
cana-3844	75	28	where	where	SCONJ
cana-3844	75	29	it	it	PRON
cana-3844	75	30	provides	provide	VERB
cana-3844	75	31	𝜇𝑄	𝜇𝑄	NOUN
cana-3844	75	32	:	:	PUNCT
cana-3844	75	33	p	p	X
cana-3844	75	34	→	→	X
cana-3844	75	35	[	[	X
cana-3844	75	36	0,1	0,1	NUM
cana-3844	75	37	]	]	PUNCT
cana-3844	75	38	with	with	ADP
cana-3844	75	39	its	its	PRON
cana-3844	75	40	affinity	affinity	NOUN
cana-3844	75	41	of	of	ADP
cana-3844	75	42	element	element	NOUN
cana-3844	75	43	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	75	44	in	in	ADP
cana-3844	75	45	given	give	VERB
cana-3844	75	46	set	set	VERB
cana-3844	75	47	q	q	PROPN
cana-3844	75	48	which	which	PRON
cana-3844	75	49	is	be	AUX
cana-3844	75	50	known	know	VERB
cana-3844	75	51	as	as	ADP
cana-3844	75	52	its	its	PRON
cana-3844	75	53	membership	membership	NOUN
cana-3844	75	54	function	function	NOUN
cana-3844	75	55	.	.	PUNCT
cana-3844	76	1	remark	remark	NOUN
cana-3844	76	2	:	:	PUNCT
cana-3844	76	3	we	we	PRON
cana-3844	76	4	will	will	AUX
cana-3844	76	5	see	see	VERB
cana-3844	76	6	that	that	DET
cana-3844	76	7	fs(p	fs(p	NOUN
cana-3844	76	8	)	)	PUNCT
cana-3844	76	9	is	be	AUX
cana-3844	76	10	a	a	DET
cana-3844	76	11	collection	collection	NOUN
cana-3844	76	12	of	of	ADP
cana-3844	76	13	all	all	DET
cana-3844	76	14	fs	f	NOUN
cana-3844	76	15	defined	define	VERB
cana-3844	76	16	on	on	ADP
cana-3844	76	17	p	p	NOUN
cana-3844	76	18	throughout	throughout	ADP
cana-3844	76	19	this	this	DET
cana-3844	76	20	work	work	NOUN
cana-3844	76	21	.	.	PUNCT
cana-3844	77	1	definition	definition	NOUN
cana-3844	77	2	2	2	NUM
cana-3844	77	3	assuming	assume	VERB
cana-3844	77	4	that	that	DET
cana-3844	77	5	𝑄1	𝑄1	NOUN
cana-3844	77	6	,	,	PUNCT
cana-3844	77	7	𝑄2	𝑄2	PROPN
cana-3844	77	8	∈	∈	PROPN
cana-3844	77	9	fs(p	fs(p	PROPN
cana-3844	77	10	)	)	PUNCT
cana-3844	77	11	,	,	PUNCT
cana-3844	77	12	the	the	DET
cana-3844	77	13	following	follow	VERB
cana-3844	77	14	are	be	AUX
cana-3844	77	15	the	the	DET
cana-3844	77	16	definitions	definition	NOUN
cana-3844	77	17	of	of	ADP
cana-3844	77	18	the	the	DET
cana-3844	77	19	main	main	ADJ
cana-3844	77	20	operations	operation	NOUN
cana-3844	77	21	on	on	ADP
cana-3844	77	22	fuzzy	fuzzy	ADJ
cana-3844	77	23	sets	set	NOUN
cana-3844	77	24	:	:	PUNCT
cana-3844	77	25	𝑄1	𝑄1	NOUN
cana-3844	77	26	∪	∪	ADP
cana-3844	77	27	𝑄2	𝑄2	PROPN
cana-3844	78	1	=	=	PRON
cana-3844	78	2	{	{	PUNCT
cana-3844	78	3	〈	〈	NOUN
cana-3844	78	4	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	78	5	,	,	PUNCT
cana-3844	78	6	𝑚𝑎𝑥	𝑚𝑎𝑥	X
cana-3844	78	7	(	(	PUNCT
cana-3844	78	8	𝜇𝑄1(𝑝𝑖	𝜇𝑄1(𝑝𝑖	NOUN
cana-3844	78	9	)	)	PUNCT
cana-3844	78	10	,	,	PUNCT
cana-3844	78	11	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	78	12	)	)	PUNCT
cana-3844	78	13	)	)	PUNCT
cana-3844	78	14	〉	〉	NOUN
cana-3844	78	15	:	:	PUNCT
cana-3844	78	16	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	78	17	∈	∈	PROPN
cana-3844	78	18	𝑃	𝑃	PROPN
cana-3844	78	19	}	}	PUNCT
cana-3844	78	20	.	.	PUNCT
cana-3844	79	1	(	(	PUNCT
cana-3844	79	2	2	2	X
cana-3844	79	3	)	)	PUNCT
cana-3844	79	4	𝑄1	𝑄1	NOUN
cana-3844	79	5	∩	∩	NOUN
cana-3844	79	6	𝑄2	𝑄2	PROPN
cana-3844	79	7	=	=	PRON
cana-3844	79	8	{	{	PUNCT
cana-3844	79	9	〈	〈	NOUN
cana-3844	79	10	𝑝𝑖	𝑝𝑖	PROPN
cana-3844	79	11	,	,	PUNCT
cana-3844	79	12	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
cana-3844	79	13	(	(	PUNCT
cana-3844	79	14	𝜇𝑄1(𝑝𝑖	𝜇𝑄1(𝑝𝑖	NOUN
cana-3844	79	15	)	)	PUNCT
cana-3844	79	16	,	,	PUNCT
cana-3844	79	17	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	79	18	)	)	PUNCT
cana-3844	79	19	)	)	PUNCT
cana-3844	79	20	〉	〉	NOUN
cana-3844	79	21	:	:	PUNCT
cana-3844	79	22	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	79	23	∈	∈	PROPN
cana-3844	79	24	𝑃	𝑃	PROPN
cana-3844	79	25	}	}	PUNCT
cana-3844	79	26	.	.	PUNCT
cana-3844	80	1	(	(	PUNCT
cana-3844	80	2	3	3	X
cana-3844	80	3	)	)	PUNCT
cana-3844	80	4	𝑄𝑗	𝑄𝑗	PROPN
cana-3844	80	5	=	=	PRON
cana-3844	80	6	{	{	PUNCT
cana-3844	80	7	〈	〈	NOUN
cana-3844	80	8	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	80	9	,	,	PUNCT
cana-3844	80	10	1	1	NUM
cana-3844	80	11	−	−	NOUN
cana-3844	80	12	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	80	13	)	)	PUNCT
cana-3844	80	14	〉	〉	NOUN
cana-3844	80	15	:	:	PUNCT
cana-3844	80	16	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	80	17	∈	∈	PROPN
cana-3844	80	18	𝑃	𝑃	PROPN
cana-3844	80	19	}	}	PUNCT
cana-3844	80	20	.	.	PUNCT
cana-3844	81	1	(	(	PUNCT
cana-3844	81	2	4	4	X
cana-3844	81	3	)	)	PUNCT
cana-3844	81	4	communications	communication	NOUN
cana-3844	81	5	on	on	ADP
cana-3844	81	6	applied	apply	VERB
cana-3844	81	7	nonlinear	nonlinear	ADJ
cana-3844	81	8	analysis	analysis	NOUN
cana-3844	81	9	issn	issn	NOUN
cana-3844	81	10	:	:	PUNCT
cana-3844	81	11	1074	1074	NUM
cana-3844	81	12	-	-	PUNCT
cana-3844	81	13	133x	133x	NUM
cana-3844	81	14	vol	vol	NOUN
cana-3844	81	15	32	32	NUM
cana-3844	81	16	no	no	NOUN
cana-3844	81	17	.	.	PUNCT
cana-3844	82	1	9s	9s	NUM
cana-3844	82	2	(	(	PUNCT
cana-3844	82	3	2025	2025	NUM
cana-3844	82	4	)	)	PUNCT
cana-3844	82	5	138	138	NUM
cana-3844	82	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	82	7	𝑄1	𝑄1	NOUN
cana-3844	82	8	⊆	⊆	NUM
cana-3844	82	9	𝑄2	𝑄2	PROPN
cana-3844	82	10	⇔	⇔	PROPN
cana-3844	82	11	𝜇𝑄1(𝑝𝑖	𝜇𝑄1(𝑝𝑖	PROPN
cana-3844	82	12	)	)	PUNCT
cana-3844	82	13	≤	≤	NUM
cana-3844	82	14	𝜇𝑄2(𝑝𝑖),𝑤ℎ𝑒𝑟𝑒	𝜇𝑄2(𝑝𝑖),𝑤ℎ𝑒𝑟𝑒	NOUN
cana-3844	82	15	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	82	16	∈	∈	PROPN
cana-3844	82	17	𝑃.	𝑃.	PROPN
cana-3844	82	18	(	(	PUNCT
cana-3844	82	19	5	5	NUM
cana-3844	82	20	)	)	PUNCT
cana-3844	82	21	definition	definition	NOUN
cana-3844	82	22	3	3	NUM
cana-3844	82	23	a	a	DET
cana-3844	82	24	function	function	NOUN
cana-3844	82	25	r	r	NOUN
cana-3844	82	26	:	:	PUNCT
cana-3844	82	27	fs(p	fs(p	NUM
cana-3844	82	28	)	)	PUNCT
cana-3844	82	29	→	→	PUNCT
cana-3844	83	1	[	[	X
cana-3844	83	2	0,1	0,1	NUM
cana-3844	83	3	]	]	PUNCT
cana-3844	83	4	can	can	AUX
cana-3844	83	5	be	be	AUX
cana-3844	83	6	defined	define	VERB
cana-3844	83	7	as	as	ADP
cana-3844	83	8	a	a	DET
cana-3844	83	9	measure	measure	NOUN
cana-3844	83	10	of	of	ADP
cana-3844	83	11	information	information	NOUN
cana-3844	83	12	if	if	SCONJ
cana-3844	83	13	it	it	PRON
cana-3844	83	14	upholds	uphold	VERB
cana-3844	83	15	the	the	DET
cana-3844	83	16	subsequent	subsequent	ADJ
cana-3844	83	17	four	four	NUM
cana-3844	83	18	axioms	axiom	NOUN
cana-3844	83	19	which	which	PRON
cana-3844	83	20	are	be	AUX
cana-3844	83	21	given	give	VERB
cana-3844	83	22	by	by	ADP
cana-3844	83	23	luca	luca	PROPN
cana-3844	83	24	and	and	CCONJ
cana-3844	83	25	termini	termini	VERB
cana-3844	83	26	[	[	X
cana-3844	83	27	3	3	NUM
cana-3844	83	28	]	]	PUNCT
cana-3844	83	29	.	.	PUNCT
cana-3844	84	1	1	1	X
cana-3844	84	2	.	.	X
cana-3844	84	3	for	for	ADP
cana-3844	84	4	maximum	maximum	ADJ
cana-3844	84	5	r(q	r(q	PROPN
cana-3844	84	6	)	)	PUNCT
cana-3844	84	7	⇔	⇔	PROPN
cana-3844	84	8	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	84	9	)	)	PUNCT
cana-3844	84	10	=	=	SYM
cana-3844	84	11	0.5	0.5	NUM
cana-3844	84	12	∀	∀	X
cana-3844	84	13	𝑝𝑖	𝑝𝑖	ADP
cana-3844	84	14	∈	∈	PROPN
cana-3844	84	15	𝑃	𝑃	PROPN
cana-3844	84	16	,	,	PUNCT
cana-3844	84	17	i.e.	i.e.	X
cana-3844	84	18	,	,	PUNCT
cana-3844	84	19	the	the	DET
cana-3844	84	20	most	most	ADV
cana-3844	84	21	fuzzy	fuzzy	ADJ
cana-3844	84	22	set.(maximality	set.(maximality	NOUN
cana-3844	84	23	)	)	PUNCT
cana-3844	84	24	2	2	NUM
cana-3844	84	25	.	.	PUNCT
cana-3844	84	26	r(q)=0	r(q)=0	ADJ
cana-3844	84	27	⇔	⇔	PROPN
cana-3844	84	28	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	CCONJ
cana-3844	84	29	)	)	PUNCT
cana-3844	84	30	∈	∈	PROPN
cana-3844	84	31	{	{	PUNCT
cana-3844	84	32	0,1	0,1	NOUN
cana-3844	84	33	}	}	PUNCT
cana-3844	84	34	∀	∀	PUNCT
cana-3844	84	35	𝑝𝑖	𝑝𝑖	ADP
cana-3844	84	36	∈	∈	PROPN
cana-3844	84	37	𝑃.	𝑃.	PROPN
cana-3844	84	38	(	(	PUNCT
cana-3844	84	39	minimality	minimality	NOUN
cana-3844	84	40	)	)	PUNCT
cana-3844	84	41	3	3	NUM
cana-3844	84	42	.	.	PUNCT
cana-3844	85	1	since	since	SCONJ
cana-3844	85	2	the	the	DET
cana-3844	85	3	fuzzy	fuzzy	ADJ
cana-3844	85	4	set	set	NOUN
cana-3844	85	5	q	q	NOUN
cana-3844	85	6	has	have	AUX
cana-3844	85	7	been	be	AUX
cana-3844	85	8	sharpened	sharpen	VERB
cana-3844	85	9	,	,	PUNCT
cana-3844	85	10	r(	r(	PROPN
cana-3844	85	11	�	�	PROPN
cana-3844	85	12	̃	̃	PROPN
cana-3844	85	13	�	�	PROPN
cana-3844	85	14	)	)	PUNCT
cana-3844	85	15	≤	≤	NOUN
cana-3844	85	16	r(q	r(q	PROPN
cana-3844	85	17	)	)	PUNCT
cana-3844	85	18	.	.	PUNCT
cana-3844	86	1	(	(	PUNCT
cana-3844	86	2	resolution	resolution	NOUN
cana-3844	86	3	)	)	PUNCT
cana-3844	86	4	4	4	NUM
cana-3844	86	5	.	.	PUNCT
cana-3844	87	1	given	give	VERB
cana-3844	87	2	a	a	DET
cana-3844	87	3	fuzzy	fuzzy	ADJ
cana-3844	87	4	set	set	NOUN
cana-3844	87	5	q	q	NOUN
cana-3844	87	6	and	and	CCONJ
cana-3844	87	7	its	its	PRON
cana-3844	87	8	complement	complement	NOUN
cana-3844	87	9	𝑄𝑗	𝑄𝑗	PROPN
cana-3844	87	10	,	,	PUNCT
cana-3844	87	11	𝑅(𝑄	𝑅(𝑄	NOUN
cana-3844	87	12	)	)	PUNCT
cana-3844	87	13	=	=	PUNCT
cana-3844	87	14	𝑅(𝑄𝑗	𝑅(𝑄𝑗	NUM
cana-3844	87	15	)	)	PUNCT
cana-3844	87	16	.	.	PUNCT
cana-3844	88	1	(	(	PUNCT
cana-3844	88	2	symmetry	symmetry	NOUN
cana-3844	88	3	)	)	PUNCT
cana-3844	88	4	the	the	DET
cana-3844	88	5	degree	degree	NOUN
cana-3844	88	6	of	of	ADP
cana-3844	88	7	fuzziness	fuzziness	NOUN
cana-3844	88	8	in	in	ADP
cana-3844	88	9	the	the	DET
cana-3844	88	10	fuzzy	fuzzy	ADJ
cana-3844	88	11	collection	collection	NOUN
cana-3844	88	12	is	be	AUX
cana-3844	88	13	measured	measure	VERB
cana-3844	88	14	by	by	ADP
cana-3844	88	15	the	the	DET
cana-3844	88	16	entropy	entropy	NOUN
cana-3844	88	17	known	know	VERB
cana-3844	88	18	as	as	ADP
cana-3844	88	19	fuzzy	fuzzy	ADJ
cana-3844	88	20	entropy	entropy	NOUN
cana-3844	88	21	.	.	PUNCT
cana-3844	89	1	furthermore	furthermore	ADV
cana-3844	89	2	,	,	PUNCT
cana-3844	89	3	the	the	DET
cana-3844	89	4	quantity	quantity	NOUN
cana-3844	89	5	of	of	ADP
cana-3844	89	6	knowledge	knowledge	NOUN
cana-3844	89	7	is	be	AUX
cana-3844	89	8	determined	determine	VERB
cana-3844	89	9	by	by	ADP
cana-3844	89	10	a	a	DET
cana-3844	89	11	knowledge	knowledge	NOUN
cana-3844	89	12	measure	measure	NOUN
cana-3844	89	13	singh	singh	PROPN
cana-3844	89	14	et	et	PROPN
cana-3844	89	15	al	al	PROPN
cana-3844	90	1	[	[	X
cana-3844	90	2	12	12	NUM
cana-3844	90	3	]	]	PUNCT
cana-3844	90	4	claim	claim	NOUN
cana-3844	90	5	that	that	SCONJ
cana-3844	90	6	there	there	PRON
cana-3844	90	7	is	be	VERB
cana-3844	90	8	two	two	NUM
cana-3844	90	9	beliefs	belief	NOUN
cana-3844	90	10	complement	complement	VERB
cana-3844	90	11	one	one	NOUN
cana-3844	90	12	another	another	PRON
cana-3844	90	13	effectively	effectively	ADV
cana-3844	90	14	.	.	PUNCT
cana-3844	91	1	definition	definition	NOUN
cana-3844	91	2	4	4	NUM
cana-3844	91	3	as	as	SCONJ
cana-3844	91	4	stated	state	VERB
cana-3844	91	5	by	by	ADP
cana-3844	91	6	singh	singh	PROPN
cana-3844	91	7	et	et	PROPN
cana-3844	91	8	al	al	PROPN
cana-3844	91	9	.	.	PUNCT
cana-3844	92	1	[	[	X
cana-3844	92	2	12	12	NUM
cana-3844	92	3	]	]	X
cana-3844	92	4	y	y	PROPN
cana-3844	92	5	is	be	AUX
cana-3844	92	6	a	a	DET
cana-3844	92	7	function	function	NOUN
cana-3844	92	8	that	that	PRON
cana-3844	92	9	we	we	PRON
cana-3844	92	10	can	can	AUX
cana-3844	92	11	define	define	VERB
cana-3844	92	12	.	.	PUNCT
cana-3844	93	1	→	→	X
cana-3844	93	2	fs(p	fs(p	X
cana-3844	93	3	)	)	PUNCT
cana-3844	94	1	[	[	X
cana-3844	94	2	0,1	0,1	X
cana-3844	94	3	]	]	X
cana-3844	94	4	if	if	SCONJ
cana-3844	94	5	the	the	DET
cana-3844	94	6	following	follow	VERB
cana-3844	94	7	four	four	NUM
cana-3844	94	8	axioms	axiom	NOUN
cana-3844	94	9	are	be	AUX
cana-3844	94	10	redeemed	redeem	VERB
cana-3844	94	11	,	,	PUNCT
cana-3844	94	12	as	as	ADP
cana-3844	94	13	fkm	fkm	PROPN
cana-3844	94	14	.	.	PUNCT
cana-3844	95	1	1	1	X
cana-3844	95	2	.	.	X
cana-3844	95	3	y(q	y(q	NOUN
cana-3844	95	4	)	)	PUNCT
cana-3844	95	5	represents	represent	VERB
cana-3844	95	6	the	the	DET
cana-3844	95	7	maximum	maximum	ADJ
cana-3844	95	8	↔	↔	PROPN
cana-3844	95	9	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	95	10	)	)	PUNCT
cana-3844	95	11	∈	∈	PROPN
cana-3844	95	12	{	{	PUNCT
cana-3844	95	13	0,1	0,1	NOUN
cana-3844	95	14	}	}	PUNCT
cana-3844	95	15	∀	∀	PUNCT
cana-3844	95	16	𝑝𝑖	𝑝𝑖	ADP
cana-3844	95	17	∈	∈	NOUN
cana-3844	95	18	𝑃	𝑃	NOUN
cana-3844	95	19	;	;	PUNCT
cana-3844	95	20	that	that	PRON
cana-3844	95	21	is	is	ADV
cana-3844	95	22	,	,	PUNCT
cana-3844	95	23	q	q	PROPN
cana-3844	95	24	can	can	AUX
cana-3844	95	25	be	be	AUX
cana-3844	95	26	any	any	DET
cana-3844	95	27	unambiguous	unambiguous	ADJ
cana-3844	95	28	set	set	NOUN
cana-3844	95	29	.	.	PUNCT
cana-3844	96	1	(	(	PUNCT
cana-3844	96	2	maximality	maximality	NOUN
cana-3844	96	3	)	)	PUNCT
cana-3844	96	4	2	2	NUM
cana-3844	96	5	.	.	X
cana-3844	96	6	y(q)=0	y(q)=0	PROPN
cana-3844	96	7	⇔	⇔	PROPN
cana-3844	96	8	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	PROPN
cana-3844	96	9	)	)	PUNCT
cana-3844	96	10	=	=	SYM
cana-3844	96	11	0.5	0.5	NUM
cana-3844	96	12	∀	∀	X
cana-3844	96	13	𝑝𝑖	𝑝𝑖	ADP
cana-3844	96	14	∈	∈	PROPN
cana-3844	96	15	𝑃	𝑃	PROPN
cana-3844	96	16	,	,	PUNCT
cana-3844	96	17	i.e.	i.e.	X
cana-3844	96	18	,the	,the	PUNCT
cana-3844	96	19	most	most	ADV
cana-3844	96	20	fuzzy	fuzzy	ADJ
cana-3844	96	21	set	set	NOUN
cana-3844	96	22	is	be	AUX
cana-3844	96	23	q.(minimality	q.(minimality	NOUN
cana-3844	96	24	)	)	PUNCT
cana-3844	97	1	3	3	NUM
cana-3844	97	2	.	.	X
cana-3844	97	3	sharpened	sharpen	VERB
cana-3844	97	4	version	version	NOUN
cana-3844	97	5	of	of	ADP
cana-3844	97	6	�	�	PROPN
cana-3844	97	7	̃	̃	PROPN
cana-3844	97	8	�	�	PROPN
cana-3844	97	9	there	there	PRON
cana-3844	97	10	is	be	VERB
cana-3844	97	11	fuzzy	fuzzy	ADJ
cana-3844	97	12	set	set	VERB
cana-3844	97	13	q	q	NOUN
cana-3844	97	14	,	,	PUNCT
cana-3844	97	15	y(q	y(q	PROPN
cana-3844	97	16	)	)	PUNCT
cana-3844	97	17	≤	≤	NUM
cana-3844	97	18	y(	y(	NOUN
cana-3844	97	19	�	�	PROPN
cana-3844	97	20	̃	̃	PROPN
cana-3844	97	21	�	�	PROPN
cana-3844	97	22	)	)	PUNCT
cana-3844	97	23	.	.	PUNCT
cana-3844	98	1	(	(	PUNCT
cana-3844	98	2	resolution	resolution	NOUN
cana-3844	98	3	)	)	PUNCT
cana-3844	98	4	4	4	NUM
cana-3844	98	5	.	.	PUNCT
cana-3844	99	1	if	if	SCONJ
cana-3844	99	2	𝑄𝑗	𝑄𝑗	PROPN
cana-3844	99	3	show	show	VERB
cana-3844	99	4	its	its	PRON
cana-3844	99	5	complement	complement	NOUN
cana-3844	99	6	for	for	ADP
cana-3844	99	7	the	the	DET
cana-3844	99	8	fuzzy	fuzzy	ADJ
cana-3844	99	9	set	set	NOUN
cana-3844	99	10	q	q	NOUN
cana-3844	99	11	,	,	PUNCT
cana-3844	99	12	there	there	PRON
cana-3844	99	13	is	be	VERB
cana-3844	99	14	𝑌(𝑄	𝑌(𝑄	NOUN
cana-3844	99	15	)	)	PUNCT
cana-3844	99	16	=	=	SYM
cana-3844	99	17	𝑌(𝑄𝑗	𝑌(𝑄𝑗	PROPN
cana-3844	99	18	)	)	PUNCT
cana-3844	99	19	.	.	PUNCT
cana-3844	100	1	(	(	PUNCT
cana-3844	100	2	symmetry	symmetry	NOUN
cana-3844	100	3	)	)	PUNCT
cana-3844	100	4	definition	definition	NOUN
cana-3844	100	5	5	5	NUM
cana-3844	100	6	we	we	PRON
cana-3844	100	7	have	have	VERB
cana-3844	100	8	two	two	NUM
cana-3844	100	9	fuzzy	fuzzy	ADJ
cana-3844	100	10	sets	set	NOUN
cana-3844	100	11	𝑄1	𝑄1	NOUN
cana-3844	100	12	and	and	CCONJ
cana-3844	100	13	𝑄2	𝑄2	PROPN
cana-3844	100	14	,	,	PUNCT
cana-3844	100	15	there	there	PRON
cana-3844	100	16	is	be	VERB
cana-3844	100	17	hamming	ham	VERB
cana-3844	100	18	distance	distance	NOUN
cana-3844	100	19	𝑣(𝑄1	𝑣(𝑄1	PROPN
cana-3844	100	20	,	,	PUNCT
cana-3844	100	21	𝑄2	𝑄2	PROPN
cana-3844	100	22	)	)	PUNCT
cana-3844	100	23	is	be	AUX
cana-3844	100	24	given	give	VERB
cana-3844	100	25	as	as	SCONJ
cana-3844	100	26	follows	follow	VERB
cana-3844	100	27	𝑣(𝑄1	𝑣(𝑄1	PROPN
cana-3844	100	28	,	,	PUNCT
cana-3844	100	29	𝑄2	𝑄2	PROPN
cana-3844	100	30	)	)	PUNCT
cana-3844	100	31	=	=	SYM
cana-3844	101	1	1	1	NUM
cana-3844	101	2	2	2	NUM
cana-3844	101	3	∑𝑘𝑖=1	∑𝑘𝑖=1	NOUN
cana-3844	101	4	|𝜇𝑄1(𝑝𝑖	|𝜇𝑄1(𝑝𝑖	NUM
cana-3844	101	5	)	)	PUNCT
cana-3844	101	6	−	−	NOUN
cana-3844	101	7	𝜇𝑄2(𝑝𝑖)|	𝜇𝑄2(𝑝𝑖)|	NOUN
cana-3844	101	8	;	;	PUNCT
cana-3844	101	9	(	(	PUNCT
cana-3844	101	10	6	6	X
cana-3844	101	11	)	)	PUNCT
cana-3844	101	12	where	where	SCONJ
cana-3844	101	13	𝑝𝑖	𝑝𝑖	ADP
cana-3844	101	14	∈	∈	PROPN
cana-3844	101	15	𝑃.	𝑃.	PROPN
cana-3844	101	16	note	note	NOUN
cana-3844	101	17	:	:	PUNCT
cana-3844	101	18	the	the	DET
cana-3844	101	19	sharpened	sharpen	VERB
cana-3844	101	20	version	version	NOUN
cana-3844	101	21	�	�	PROPN
cana-3844	101	22	̃	̃	PROPN
cana-3844	101	23	�	�	PROPN
cana-3844	101	24	for	for	ADP
cana-3844	101	25	an	an	DET
cana-3844	101	26	fs	fs	X
cana-3844	101	27	q	q	PROPN
cana-3844	101	28	should	should	AUX
cana-3844	101	29	meet	meet	VERB
cana-3844	101	30	the	the	DET
cana-3844	101	31	next	next	ADJ
cana-3844	101	32	two	two	NUM
cana-3844	101	33	requirements	requirement	NOUN
cana-3844	101	34	:	:	PUNCT
cana-3844	101	35	{	{	PUNCT
cana-3844	101	36	𝜇	𝜇	ADP
cana-3844	101	37	�	�	PROPN
cana-3844	101	38	̃	̃	NOUN
cana-3844	101	39	�	�	NOUN
cana-3844	101	40	(𝑝𝑖	(𝑝𝑖	NOUN
cana-3844	101	41	)	)	PUNCT
cana-3844	101	42	≤	≤	NOUN
cana-3844	101	43	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	101	44	)	)	PUNCT
cana-3844	101	45	𝑖𝑓	𝑖𝑓	ADP
cana-3844	101	46	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	101	47	)	)	PUNCT
cana-3844	101	48	≤	≤	NUM
cana-3844	101	49	1	1	NUM
cana-3844	101	50	2	2	NUM
cana-3844	101	51	,	,	PUNCT
cana-3844	101	52	𝜇	𝜇	ADP
cana-3844	101	53	�	�	PROPN
cana-3844	101	54	̃	̃	NOUN
cana-3844	101	55	�	�	NOUN
cana-3844	101	56	(𝑝𝑖	(𝑝𝑖	NOUN
cana-3844	101	57	)	)	PUNCT
cana-3844	101	58	≥	≥	NOUN
cana-3844	101	59	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	101	60	)	)	PUNCT
cana-3844	101	61	𝑖𝑓	𝑖𝑓	ADP
cana-3844	101	62	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	101	63	)	)	PUNCT
cana-3844	101	64	≥	≥	NOUN
cana-3844	101	65	1	1	NUM
cana-3844	101	66	2	2	NUM
cana-3844	101	67	.	.	PUNCT
cana-3844	101	68	3	3	NUM
cana-3844	101	69	existing	exist	VERB
cana-3844	101	70	entropy	entropy	NOUN
cana-3844	101	71	information	information	NOUN
cana-3844	101	72	measures	measure	NOUN
cana-3844	101	73	assume	assume	VERB
cana-3844	101	74	communications	communication	NOUN
cana-3844	101	75	on	on	ADP
cana-3844	101	76	applied	apply	VERB
cana-3844	101	77	nonlinear	nonlinear	ADJ
cana-3844	101	78	analysis	analysis	NOUN
cana-3844	101	79	issn	issn	NOUN
cana-3844	101	80	:	:	PUNCT
cana-3844	101	81	1074	1074	NUM
cana-3844	101	82	-	-	PUNCT
cana-3844	101	83	133x	133x	NUM
cana-3844	101	84	vol	vol	NOUN
cana-3844	101	85	32	32	NUM
cana-3844	101	86	no	no	NOUN
cana-3844	101	87	.	.	PUNCT
cana-3844	102	1	9s	9s	NUM
cana-3844	102	2	(	(	PUNCT
cana-3844	102	3	2025	2025	NUM
cana-3844	102	4	)	)	PUNCT
cana-3844	102	5	139	139	NUM
cana-3844	103	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	103	2	𝜗𝑘	𝜗𝑘	NOUN
cana-3844	103	3	=	=	PUNCT
cana-3844	103	4	{	{	PUNCT
cana-3844	103	5	𝐹	𝐹	PROPN
cana-3844	103	6	=	=	SYM
cana-3844	103	7	(	(	PUNCT
cana-3844	103	8	𝛼1	𝛼1	NOUN
cana-3844	103	9	,	,	PUNCT
cana-3844	103	10	𝛼2	𝛼2	ADJ
cana-3844	103	11	,	,	PUNCT
cana-3844	103	12	𝛼3	𝛼3	ADV
cana-3844	103	13	,	,	PUNCT
cana-3844	103	14	…	…	PUNCT
cana-3844	103	15	,	,	PUNCT
cana-3844	103	16	𝛼𝑘)|∑	𝛼𝑘)|∑	PROPN
cana-3844	103	17	𝑘	𝑘	X
cana-3844	103	18	𝑖=1	𝑖=1	PUNCT
cana-3844	103	19	𝛼𝑖	𝛼𝑖	X
cana-3844	103	20	=	=	SYM
cana-3844	103	21	1	1	NUM
cana-3844	103	22	;	;	PUNCT
cana-3844	103	23	0	0	NUM
cana-3844	103	24	≤	≤	NUM
cana-3844	103	25	𝛼𝑖	𝛼𝑖	PRON
cana-3844	103	26	≤	≤	ADJ
cana-3844	103	27	1∀𝑖	1∀𝑖	NUM
cana-3844	103	28	=	=	SYM
cana-3844	103	29	1,2	1,2	NUM
cana-3844	103	30	,	,	PUNCT
cana-3844	103	31	…	…	PUNCT
cana-3844	103	32	𝑘	𝑘	X
cana-3844	103	33	}	}	PUNCT
cana-3844	103	34	,	,	PUNCT
cana-3844	103	35	act	act	VERB
cana-3844	103	36	as	as	ADP
cana-3844	103	37	entire	entire	ADJ
cana-3844	103	38	set	set	NOUN
cana-3844	103	39	that	that	PRON
cana-3844	103	40	is	be	AUX
cana-3844	103	41	𝑘	𝑘	DET
cana-3844	103	42	≥	≥	NUM
cana-3844	103	43	2	2	NUM
cana-3844	103	44	of	of	ADP
cana-3844	103	45	probability	probability	NOUN
cana-3844	103	46	distributions	distribution	NOUN
cana-3844	103	47	.	.	PUNCT
cana-3844	104	1	according	accord	VERB
cana-3844	104	2	to	to	ADP
cana-3844	104	3	shannon	shannon	PROPN
cana-3844	104	4	[	[	X
cana-3844	104	5	4	4	NUM
cana-3844	104	6	]	]	PUNCT
cana-3844	104	7	,	,	PUNCT
cana-3844	104	8	the	the	DET
cana-3844	104	9	entropy	entropy	NOUN
cana-3844	104	10	measure	measure	NOUN
cana-3844	104	11	is	be	AUX
cana-3844	104	12	𝐻(𝐹	𝐻(𝐹	VERB
cana-3844	104	13	)	)	PUNCT
cana-3844	104	14	=	=	SYM
cana-3844	104	15	−∑𝑘𝑖=1	−∑𝑘𝑖=1	PROPN
cana-3844	104	16	(	(	PUNCT
cana-3844	104	17	𝛼𝑖)log𝑇(𝛼𝑖	𝛼𝑖)log𝑇(𝛼𝑖	NOUN
cana-3844	104	18	)	)	PUNCT
cana-3844	104	19	;	;	PUNCT
cana-3844	104	20	(	(	PUNCT
cana-3844	104	21	7	7	X
cana-3844	104	22	)	)	PUNCT
cana-3844	104	23	for	for	ADP
cana-3844	104	24	some	some	DET
cana-3844	104	25	f	f	PROPN
cana-3844	104	26	∈	∈	PROPN
cana-3844	104	27	𝜗𝑘.	𝜗𝑘.	PROPN
cana-3844	104	28	renyi	renyi	PROPN
cana-3844	104	29	et	et	PROPN
cana-3844	104	30	al	al	PROPN
cana-3844	104	31	.	.	PROPN
cana-3844	104	32	generalize	generalize	VERB
cana-3844	104	33	the	the	DET
cana-3844	104	34	shannon	shannon	PROPN
cana-3844	104	35	entropy	entropy	PROPN
cana-3844	104	36	[	[	X
cana-3844	104	37	4	4	NUM
cana-3844	104	38	]	]	PUNCT
cana-3844	104	39	.	.	PUNCT
cana-3844	105	1	boekee	boekee	ADJ
cana-3844	105	2	and	and	CCONJ
cana-3844	105	3	vander	vander	PROPN
cana-3844	105	4	lubbe	lubbe	PROPN
cana-3844	106	1	[	[	X
cana-3844	106	2	13	13	NUM
cana-3844	106	3	]	]	PUNCT
cana-3844	106	4	;	;	PUNCT
cana-3844	106	5	havrda	havrda	PROPN
cana-3844	106	6	and	and	CCONJ
cana-3844	106	7	charvat	charvat	ADJ
cana-3844	106	8	[	[	X
cana-3844	106	9	14	14	NUM
cana-3844	106	10	]	]	X
cana-3844	106	11	;	;	PUNCT
cana-3844	106	12	tsallis	tsalli	NOUN
cana-3844	107	1	[	[	X
cana-3844	107	2	15	15	NUM
cana-3844	107	3	]	]	PUNCT
cana-3844	107	4	;	;	PUNCT
cana-3844	107	5	etc	etc	X
cana-3844	107	6	.	.	X
cana-3844	108	1	the	the	DET
cana-3844	108	2	shannon	shannon	PROPN
cana-3844	108	3	entropy	entropy	PROPN
cana-3844	108	4	was	be	AUX
cana-3844	108	5	generalized	generalize	VERB
cana-3844	108	6	by	by	ADP
cana-3844	108	7	boekee	boekee	PROPN
cana-3844	108	8	and	and	CCONJ
cana-3844	108	9	vander	vander	PROPN
cana-3844	108	10	lubbe	lubbe	PROPN
cana-3844	109	1	[	[	X
cana-3844	109	2	13	13	NUM
cana-3844	109	3	]	]	PUNCT
cana-3844	109	4	in	in	ADP
cana-3844	109	5	terms	term	NOUN
cana-3844	109	6	of	of	ADP
cana-3844	109	7	r	r	NOUN
cana-3844	109	8	-	-	PUNCT
cana-3844	109	9	norm	norm	NOUN
cana-3844	109	10	entropy	entropy	NOUN
cana-3844	109	11	.	.	PUNCT
cana-3844	110	1	𝐻𝑅(𝐹	𝐻𝑅(𝐹	ADJ
cana-3844	110	2	)	)	PUNCT
cana-3844	110	3	=	=	SYM
cana-3844	110	4	𝑅	𝑅	PROPN
cana-3844	110	5	𝑅−1	𝑅−1	NOUN
cana-3844	111	1	[	[	X
cana-3844	111	2	1	1	NUM
cana-3844	111	3	−	−	NOUN
cana-3844	111	4	(	(	PUNCT
cana-3844	111	5	∑𝑘𝑖=1	∑𝑘𝑖=1	PROPN
cana-3844	111	6	𝛼𝑖	𝛼𝑖	PROPN
cana-3844	111	7	𝑅	𝑅	PROPN
cana-3844	111	8	)	)	PUNCT
cana-3844	111	9	1	1	NUM
cana-3844	111	10	𝑅	𝑅	PROPN
cana-3844	111	11	]	]	PUNCT
cana-3844	111	12	;	;	PUNCT
cana-3844	111	13	𝑅	𝑅	PROPN
cana-3844	111	14	∈	∈	PROPN
cana-3844	111	15	(	(	PUNCT
cana-3844	111	16	0,∞	0,∞	NOUN
cana-3844	111	17	)	)	PUNCT
cana-3844	111	18	−	−	PROPN
cana-3844	111	19	{	{	PUNCT
cana-3844	111	20	1	1	NUM
cana-3844	111	21	}	}	PUNCT
cana-3844	111	22	(	(	PUNCT
cana-3844	111	23	8)	8)	NUM
cana-3844	111	24	also	also	ADV
cana-3844	111	25	,	,	PUNCT
cana-3844	111	26	lim𝑅→1𝐻𝑅(𝐹	lim𝑅→1𝐻𝑅(𝐹	NOUN
cana-3844	111	27	)	)	PUNCT
cana-3844	111	28	=	=	SYM
cana-3844	111	29	𝐻(𝐹	𝐻(𝐹	NOUN
cana-3844	111	30	)	)	PUNCT
cana-3844	111	31	.	.	PUNCT
cana-3844	112	1	additionally	additionally	ADV
cana-3844	112	2	,	,	PUNCT
cana-3844	112	3	the	the	DET
cana-3844	112	4	r	r	NOUN
cana-3844	112	5	-	-	PUNCT
cana-3844	112	6	norm	norm	NOUN
cana-3844	112	7	information	information	NOUN
cana-3844	112	8	measure	measure	NOUN
cana-3844	112	9	was	be	AUX
cana-3844	112	10	examined	examine	VERB
cana-3844	112	11	by	by	ADP
cana-3844	112	12	joshi	joshi	PROPN
cana-3844	112	13	and	and	CCONJ
cana-3844	112	14	kumar	kumar	PROPN
cana-3844	113	1	[	[	X
cana-3844	113	2	16	16	NUM
cana-3844	113	3	]	]	PUNCT
cana-3844	113	4	;	;	PUNCT
cana-3844	113	5	kumar	kumar	PROPN
cana-3844	113	6	[	[	X
cana-3844	113	7	17	17	NUM
cana-3844	113	8	]	]	X
cana-3844	113	9	;	;	PUNCT
cana-3844	113	10	and	and	CCONJ
cana-3844	113	11	kumar	kumar	PROPN
cana-3844	113	12	et	et	PROPN
cana-3844	113	13	al	al	PROPN
cana-3844	113	14	.	.	PUNCT
cana-3844	114	1	[	[	X
cana-3844	114	2	18	18	NUM
cana-3844	114	3	]	]	PUNCT
cana-3844	114	4	.	.	PUNCT
cana-3844	115	1	zadeh	zadeh	NOUN
cana-3844	116	1	[	[	X
cana-3844	116	2	1	1	NUM
cana-3844	116	3	]	]	PUNCT
cana-3844	116	4	provided	provide	VERB
cana-3844	116	5	a	a	DET
cana-3844	116	6	metric	metric	NOUN
cana-3844	116	7	for	for	ADP
cana-3844	116	8	determining	determine	VERB
cana-3844	116	9	an	an	DET
cana-3844	116	10	fs	f	NOUN
cana-3844	116	11	’s	’s	PART
cana-3844	116	12	fuzziness	fuzziness	NOUN
cana-3844	116	13	.	.	PUNCT
cana-3844	117	1	numerous	numerous	ADJ
cana-3844	117	2	researchers	researcher	NOUN
cana-3844	117	3	generalized	generalize	VERB
cana-3844	117	4	certain	certain	ADJ
cana-3844	117	5	new	new	ADJ
cana-3844	117	6	fuzzy	fuzzy	ADJ
cana-3844	117	7	information	information	NOUN
cana-3844	117	8	measures	measure	NOUN
cana-3844	117	9	after	after	ADP
cana-3844	117	10	zadeh	zadeh	PROPN
cana-3844	117	11	.	.	PUNCT
cana-3844	118	1	as	as	ADP
cana-3844	118	2	an	an	DET
cana-3844	118	3	illustration	illustration	NOUN
cana-3844	118	4	,	,	PUNCT
cana-3844	118	5	consider	consider	VERB
cana-3844	118	6	joshi	joshi	PROPN
cana-3844	118	7	and	and	CCONJ
cana-3844	118	8	kumar	kumar	PROPN
cana-3844	119	1	[	[	X
cana-3844	119	2	16	16	NUM
cana-3844	119	3	]	]	PUNCT
cana-3844	119	4	;	;	PUNCT
cana-3844	119	5	hooda	hooda	PROPN
cana-3844	120	1	[	[	X
cana-3844	120	2	19	19	NUM
cana-3844	120	3	]	]	X
cana-3844	120	4	;	;	PUNCT
cana-3844	120	5	luca	luca	PROPN
cana-3844	120	6	and	and	CCONJ
cana-3844	120	7	termini	termini	VERB
cana-3844	120	8	[	[	X
cana-3844	120	9	3	3	NUM
cana-3844	120	10	]	]	PUNCT
cana-3844	120	11	;	;	PUNCT
cana-3844	120	12	etc	etc	X
cana-3844	120	13	.	.	X
cana-3844	121	1	hooda	hooda	PROPN
cana-3844	122	1	[	[	X
cana-3844	122	2	19	19	NUM
cana-3844	122	3	]	]	PUNCT
cana-3844	122	4	investigated	investigate	VERB
cana-3844	122	5	the	the	DET
cana-3844	122	6	r	r	NOUN
cana-3844	122	7	-	-	PUNCT
cana-3844	122	8	norm	norm	NOUN
cana-3844	122	9	entropy	entropy	NOUN
cana-3844	122	10	in	in	ADP
cana-3844	122	11	the	the	DET
cana-3844	122	12	following	follow	VERB
cana-3844	122	13	fuzzy	fuzzy	ADJ
cana-3844	122	14	setting	setting	NOUN
cana-3844	122	15	:	:	PUNCT
cana-3844	122	16	𝐻𝑅(𝐹	𝐻𝑅(𝐹	ADJ
cana-3844	122	17	)	)	PUNCT
cana-3844	122	18	=	=	SYM
cana-3844	122	19	𝑅	𝑅	NOUN
cana-3844	122	20	𝑅−1	𝑅−1	NOUN
cana-3844	123	1	∑𝑘𝑖=1	∑𝑘𝑖=1	PROPN
cana-3844	124	1	[	[	X
cana-3844	124	2	1	1	NUM
cana-3844	124	3	−	−	PROPN
cana-3844	124	4	(	(	PUNCT
cana-3844	124	5	(	(	PUNCT
cana-3844	124	6	𝜇𝑇(𝑠𝑖	𝜇𝑇(𝑠𝑖	NOUN
cana-3844	124	7	)	)	PUNCT
cana-3844	124	8	)	)	PUNCT
cana-3844	124	9	𝑅	𝑅	NOUN
cana-3844	124	10	+	+	CCONJ
cana-3844	124	11	(	(	PUNCT
cana-3844	124	12	1	1	NUM
cana-3844	124	13	−	−	NUM
cana-3844	124	14	𝜇𝑇(𝑠𝑖	𝜇𝑇(𝑠𝑖	NOUN
cana-3844	124	15	)	)	PUNCT
cana-3844	124	16	)	)	PUNCT
cana-3844	124	17	𝑅	𝑅	NOUN
cana-3844	124	18	)	)	PUNCT
cana-3844	124	19	1	1	NUM
cana-3844	124	20	𝑅	𝑅	PROPN
cana-3844	124	21	]	]	PUNCT
cana-3844	124	22	;	;	PUNCT
cana-3844	124	23	𝑅	𝑅	PROPN
cana-3844	124	24	∈	∈	PROPN
cana-3844	124	25	(	(	PUNCT
cana-3844	124	26	0,∞	0,∞	NOUN
cana-3844	124	27	)	)	PUNCT
cana-3844	124	28	−	−	PROPN
cana-3844	124	29	{	{	PUNCT
cana-3844	124	30	1	1	NUM
cana-3844	124	31	}	}	PUNCT
cana-3844	124	32	.	.	PUNCT
cana-3844	125	1	(	(	PUNCT
cana-3844	125	2	9	9	X
cana-3844	125	3	)	)	PUNCT
cana-3844	125	4	the	the	DET
cana-3844	125	5	ideas	idea	NOUN
cana-3844	125	6	of	of	ADP
cana-3844	125	7	fkm	fkm	PROPN
cana-3844	125	8	and	and	CCONJ
cana-3844	125	9	fim	fim	VERB
cana-3844	125	10	enhance	enhance	VERB
cana-3844	125	11	one	one	NUM
cana-3844	125	12	another	another	DET
cana-3844	125	13	.	.	PUNCT
cana-3844	126	1	the	the	DET
cana-3844	126	2	fim	fim	PROPN
cana-3844	126	3	measures	measure	VERB
cana-3844	126	4	fs	fs	PROPN
cana-3844	126	5	’s	’s	PART
cana-3844	126	6	fuzziness	fuzziness	NOUN
cana-3844	126	7	,	,	PUNCT
cana-3844	126	8	while	while	SCONJ
cana-3844	126	9	the	the	DET
cana-3844	126	10	fkm	fkm	NOUN
cana-3844	126	11	assesses	assess	VERB
cana-3844	126	12	fs	fs	PROPN
cana-3844	126	13	’s	’s	PART
cana-3844	126	14	knowledge	knowledge	NOUN
cana-3844	126	15	.	.	PUNCT
cana-3844	127	1	3.1	3.1	NUM
cana-3844	127	2	novel	novel	NOUN
cana-3844	127	3	fuzzy	fuzzy	ADJ
cana-3844	127	4	non	non	ADJ
cana-3844	127	5	-	-	ADJ
cana-3844	127	6	probabilistic	probabilistic	ADJ
cana-3844	127	7	knowledge	knowledge	NOUN
cana-3844	127	8	measure	measure	NOUN
cana-3844	127	9	using	use	VERB
cana-3844	127	10	hooda	hooda	PROPN
cana-3844	127	11	’s	’s	PART
cana-3844	127	12	fuzzy	fuzzy	ADJ
cana-3844	127	13	r	r	NOUN
cana-3844	127	14	-	-	PUNCT
cana-3844	127	15	norm	norm	ADJ
cana-3844	127	16	entropy	entropy	NOUN
cana-3844	127	17	idea	idea	NOUN
cana-3844	127	18	[	[	X
cana-3844	127	19	20	20	NUM
cana-3844	127	20	]	]	PUNCT
cana-3844	127	21	,	,	PUNCT
cana-3844	127	22	we	we	PRON
cana-3844	127	23	presented	present	VERB
cana-3844	127	24	a	a	DET
cana-3844	127	25	novel	novel	ADJ
cana-3844	127	26	km	km	NOUN
cana-3844	127	27	in	in	ADP
cana-3844	127	28	this	this	DET
cana-3844	127	29	part	part	NOUN
cana-3844	127	30	that	that	PRON
cana-3844	127	31	is	be	AUX
cana-3844	127	32	defined	define	VERB
cana-3844	127	33	as	as	ADP
cana-3844	127	34	𝑌𝐵(𝑄	𝑌𝐵(𝑄	NOUN
cana-3844	127	35	)	)	PUNCT
cana-3844	127	36	=	=	PRON
cana-3844	128	1	(	(	PUNCT
cana-3844	128	2	√8	√8	NOUN
cana-3844	128	3	3	3	NUM
cana-3844	128	4	−1	−1	NOUN
cana-3844	128	5	)	)	PUNCT
cana-3844	128	6	−1	−1	NOUN
cana-3844	128	7	𝑦	𝑦	NOUN
cana-3844	128	8	∑𝑘𝑖=1	∑𝑘𝑖=1	PROPN
cana-3844	129	1	[	[	X
cana-3844	129	2	√8	√8	X
cana-3844	129	3	(	(	PUNCT
cana-3844	129	4	(	(	PUNCT
cana-3844	129	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	129	6	)	)	PUNCT
cana-3844	129	7	)	)	PUNCT
cana-3844	129	8	4	4	NUM
cana-3844	130	1	+	+	CCONJ
cana-3844	130	2	(	(	PUNCT
cana-3844	130	3	1	1	NUM
cana-3844	130	4	−	−	NOUN
cana-3844	130	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	130	6	)	)	PUNCT
cana-3844	130	7	)	)	PUNCT
cana-3844	130	8	4	4	NUM
cana-3844	130	9	)	)	PUNCT
cana-3844	130	10	3	3	NUM
cana-3844	131	1	−	−	PROPN
cana-3844	131	2	1	1	NUM
cana-3844	131	3	]	]	PUNCT
cana-3844	131	4	;	;	PUNCT
cana-3844	131	5	(	(	PUNCT
cana-3844	131	6	10	10	NUM
cana-3844	131	7	)	)	PUNCT
cana-3844	131	8	for	for	ADP
cana-3844	131	9	some	some	DET
cana-3844	131	10	q	q	PROPN
cana-3844	131	11	∈	∈	PROPN
cana-3844	131	12	fs(p	fs(p	NOUN
cana-3844	131	13	)	)	PUNCT
cana-3844	131	14	.	.	PUNCT
cana-3844	132	1	we	we	PRON
cana-3844	132	2	now	now	ADV
cana-3844	132	3	verify	verify	VERB
cana-3844	132	4	the	the	DET
cana-3844	132	5	suggested	suggest	VERB
cana-3844	132	6	fkm	fkm	PROPN
cana-3844	132	7	’s	’s	PART
cana-3844	132	8	authenticity	authenticity	NOUN
cana-3844	132	9	𝑌𝐵.	𝑌𝐵.	X
cana-3844	132	10	theorem	theorem	VERB
cana-3844	132	11	1	1	NUM
cana-3844	132	12	let	let	VERB
cana-3844	132	13	p(≠	p(≠	PROPN
cana-3844	132	14	ϕ	ϕ	PROPN
cana-3844	132	15	)	)	PUNCT
cana-3844	132	16	be	be	AUX
cana-3844	132	17	a	a	DET
cana-3844	132	18	finite	finite	NOUN
cana-3844	132	19	set	set	NOUN
cana-3844	132	20	and	and	CCONJ
cana-3844	132	21	q	q	NOUN
cana-3844	132	22	=	=	X
cana-3844	132	23	{	{	PUNCT
cana-3844	132	24	〈	〈	NOUN
cana-3844	132	25	pi	pi	NOUN
cana-3844	132	26	,	,	PUNCT
cana-3844	132	27	μq(pi	μq(pi	NOUN
cana-3844	132	28	)	)	PUNCT
cana-3844	132	29	〉	〉	NOUN
cana-3844	132	30	:	:	PUNCT
cana-3844	132	31	pi	pi	PROPN
cana-3844	132	32	∈	∈	PROPN
cana-3844	133	1	p	p	AUX
cana-3844	133	2	}	}	PUNCT
cana-3844	133	3	be	be	AUX
cana-3844	133	4	the	the	DET
cana-3844	133	5	element	element	NOUN
cana-3844	133	6	of	of	ADP
cana-3844	133	7	fs(p	fs(p	PROPN
cana-3844	133	8	)	)	PUNCT
cana-3844	133	9	.	.	PUNCT
cana-3844	134	1	consider	consider	VERB
cana-3844	134	2	a	a	DET
cana-3844	134	3	mapping	mapping	NOUN
cana-3844	134	4	yb	yb	NOUN
cana-3844	134	5	:	:	PUNCT
cana-3844	134	6	fs(p	fs(p	PROPN
cana-3844	134	7	)	)	PUNCT
cana-3844	134	8	→	→	PUNCT
cana-3844	135	1	[	[	X
cana-3844	135	2	0,1	0,1	NUM
cana-3844	135	3	]	]	PUNCT
cana-3844	135	4	defined	define	VERB
cana-3844	135	5	by	by	ADP
cana-3844	135	6	eq	eq	PROPN
cana-3844	135	7	.	.	PUNCT
cana-3844	135	8	(	(	PUNCT
cana-3844	135	9	10	10	NUM
cana-3844	135	10	)	)	PUNCT
cana-3844	135	11	.	.	PUNCT
cana-3844	136	1	if	if	SCONJ
cana-3844	136	2	yb	yb	PROPN
cana-3844	136	3	meets	meet	VERB
cana-3844	136	4	the	the	DET
cana-3844	136	5	requirements	requirement	NOUN
cana-3844	136	6	listed	list	VERB
cana-3844	136	7	below	below	ADV
cana-3844	136	8	,	,	PUNCT
cana-3844	136	9	then	then	ADV
cana-3844	136	10	it	it	PRON
cana-3844	136	11	is	be	AUX
cana-3844	136	12	a	a	DET
cana-3844	136	13	legitimate	legitimate	ADJ
cana-3844	136	14	fuzzy	fuzzy	ADJ
cana-3844	136	15	knowledge	knowledge	NOUN
cana-3844	136	16	measure	measure	NOUN
cana-3844	136	17	(	(	PUNCT
cana-3844	136	18	y1)-(y4	y1)-(y4	NUM
cana-3844	136	19	):	):	PUNCT
cana-3844	136	20	y1	y1	PROPN
cana-3844	136	21	.	.	PUNCT
cana-3844	136	22	𝑌𝐵(q	𝑌𝐵(q	ADJ
cana-3844	136	23	)	)	PUNCT
cana-3844	136	24	is	be	AUX
cana-3844	136	25	maximum	maximum	ADJ
cana-3844	136	26	⇔	⇔	X
cana-3844	136	27	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	136	28	)	)	PUNCT
cana-3844	136	29	∈	∈	PROPN
cana-3844	136	30	{	{	PUNCT
cana-3844	136	31	0,1	0,1	NOUN
cana-3844	136	32	}	}	PUNCT
cana-3844	136	33	∀	∀	PUNCT
cana-3844	136	34	𝑝𝑖	𝑝𝑖	ADP
cana-3844	136	35	∈	∈	PROPN
cana-3844	136	36	𝑃	𝑃	PROPN
cana-3844	136	37	,	,	PUNCT
cana-3844	136	38	i.e.	i.e.	X
cana-3844	136	39	,	,	PUNCT
cana-3844	136	40	q	q	PROPN
cana-3844	136	41	can	can	AUX
cana-3844	136	42	be	be	AUX
cana-3844	136	43	any	any	DET
cana-3844	136	44	unambiguous	unambiguous	ADJ
cana-3844	136	45	set	set	NOUN
cana-3844	136	46	.	.	PUNCT
cana-3844	137	1	(	(	PUNCT
cana-3844	137	2	maximality	maximality	NOUN
cana-3844	137	3	)	)	PUNCT
cana-3844	137	4	y2	y2	NOUN
cana-3844	137	5	.	.	PUNCT
cana-3844	138	1	𝑌𝐵(q)=0	𝑌𝐵(q)=0	PROPN
cana-3844	138	2	⇔	⇔	PROPN
cana-3844	138	3	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	PROPN
cana-3844	138	4	)	)	PUNCT
cana-3844	138	5	=	=	SYM
cana-3844	138	6	0.5	0.5	NUM
cana-3844	138	7	∀	∀	X
cana-3844	138	8	𝑝𝑖	𝑝𝑖	ADP
cana-3844	138	9	∈	∈	PROPN
cana-3844	138	10	𝑃	𝑃	PROPN
cana-3844	138	11	,	,	PUNCT
cana-3844	138	12	i.e.	i.e.	X
cana-3844	138	13	,	,	PUNCT
cana-3844	138	14	the	the	DET
cana-3844	138	15	most	most	ADV
cana-3844	138	16	fuzzy	fuzzy	ADJ
cana-3844	138	17	is	be	AUX
cana-3844	138	18	set	set	VERB
cana-3844	138	19	q	q	PROPN
cana-3844	138	20	.	.	PUNCT
cana-3844	139	1	(	(	PUNCT
cana-3844	139	2	minimality	minimality	NOUN
cana-3844	139	3	)	)	PUNCT
cana-3844	139	4	communications	communication	NOUN
cana-3844	139	5	on	on	ADP
cana-3844	139	6	applied	apply	VERB
cana-3844	139	7	nonlinear	nonlinear	ADJ
cana-3844	139	8	analysis	analysis	NOUN
cana-3844	139	9	issn	issn	NOUN
cana-3844	139	10	:	:	PUNCT
cana-3844	139	11	1074	1074	NUM
cana-3844	139	12	-	-	PUNCT
cana-3844	139	13	133x	133x	NUM
cana-3844	139	14	vol	vol	NOUN
cana-3844	139	15	32	32	NUM
cana-3844	139	16	no	no	NOUN
cana-3844	139	17	.	.	PUNCT
cana-3844	140	1	9s	9s	NUM
cana-3844	140	2	(	(	PUNCT
cana-3844	140	3	2025	2025	NUM
cana-3844	140	4	)	)	PUNCT
cana-3844	140	5	140	140	NUM
cana-3844	140	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	140	7	y3	y3	PROPN
cana-3844	140	8	.	.	PUNCT
cana-3844	141	1	sharpened	sharpen	VERB
cana-3844	141	2	version	version	NOUN
cana-3844	141	3	of	of	ADP
cana-3844	141	4	�	�	PROPN
cana-3844	141	5	̃	̃	PROPN
cana-3844	141	6	�	�	PROPN
cana-3844	141	7	there	there	PRON
cana-3844	141	8	is	be	VERB
cana-3844	141	9	fuzzy	fuzzy	ADJ
cana-3844	141	10	set	set	VERB
cana-3844	141	11	q	q	NOUN
cana-3844	141	12	,	,	PUNCT
cana-3844	141	13	𝑌𝐵(q	𝑌𝐵(q	ADJ
cana-3844	141	14	)	)	PUNCT
cana-3844	142	1	≤	≤	NUM
cana-3844	142	2	𝑌𝐵(	𝑌𝐵(	NOUN
cana-3844	142	3	�	�	PROPN
cana-3844	142	4	̃	̃	PROPN
cana-3844	142	5	�	�	PROPN
cana-3844	142	6	)	)	PUNCT
cana-3844	142	7	.	.	PUNCT
cana-3844	143	1	(	(	PUNCT
cana-3844	143	2	resolution	resolution	NOUN
cana-3844	143	3	)	)	PUNCT
cana-3844	143	4	y4	y4	PROPN
cana-3844	143	5	.	.	PUNCT
cana-3844	144	1	if	if	SCONJ
cana-3844	144	2	𝑄𝑗	𝑄𝑗	PROPN
cana-3844	144	3	is	be	AUX
cana-3844	144	4	the	the	DET
cana-3844	144	5	complement	complement	NOUN
cana-3844	144	6	for	for	ADP
cana-3844	144	7	the	the	DET
cana-3844	144	8	fuzzy	fuzzy	ADJ
cana-3844	144	9	set	set	NOUN
cana-3844	144	10	q	q	NOUN
cana-3844	144	11	,	,	PUNCT
cana-3844	144	12	there	there	PRON
cana-3844	144	13	is	be	VERB
cana-3844	144	14	𝑌𝐵(𝑄	𝑌𝐵(𝑄	NOUN
cana-3844	144	15	)	)	PUNCT
cana-3844	145	1	=	=	SYM
cana-3844	145	2	𝑌𝐵(𝑌𝑗	𝑌𝐵(𝑌𝑗	NUM
cana-3844	145	3	)	)	PUNCT
cana-3844	145	4	.	.	PUNCT
cana-3844	146	1	(	(	PUNCT
cana-3844	146	2	symmetry	symmetry	NOUN
cana-3844	146	3	)	)	PUNCT
cana-3844	146	4	proof	proof	NOUN
cana-3844	146	5	.	.	PUNCT
cana-3844	147	1	(	(	PUNCT
cana-3844	147	2	y1	y1	NOUN
cana-3844	147	3	)	)	PUNCT
cana-3844	147	4	.	.	PUNCT
cana-3844	148	1	let	let	VERB
cana-3844	148	2	q	q	NOUN
cana-3844	148	3	is	be	AUX
cana-3844	148	4	any	any	DET
cana-3844	148	5	unambiguous	unambiguous	ADJ
cana-3844	148	6	fuzzy	fuzzy	ADJ
cana-3844	148	7	sets	set	NOUN
cana-3844	148	8	,	,	PUNCT
cana-3844	148	9	i.e.	i.e.	X
cana-3844	148	10	,	,	PUNCT
cana-3844	148	11	either	either	PRON
cana-3844	148	12	0	0	NUM
cana-3844	148	13	or	or	CCONJ
cana-3844	148	14	1	1	NUM
cana-3844	148	15	represents	represent	VERB
cana-3844	148	16	the	the	DET
cana-3844	148	17	membership	membership	NOUN
cana-3844	148	18	function	function	NOUN
cana-3844	148	19	𝜇𝑄.	𝜇𝑄.	VERB
cana-3844	148	20	afterward	afterward	ADV
cana-3844	148	21	,	,	PUNCT
cana-3844	148	22	eq	eq	ADJ
cana-3844	148	23	.	.	PUNCT
cana-3844	149	1	(	(	PUNCT
cana-3844	149	2	10	10	NUM
cana-3844	149	3	)	)	PUNCT
cana-3844	149	4	turns	turn	VERB
cana-3844	149	5	into	into	ADP
cana-3844	149	6	𝑌𝐵(𝑄	𝑌𝐵(𝑄	NOUN
cana-3844	149	7	)	)	PUNCT
cana-3844	150	1	=	=	VERB
cana-3844	150	2	𝑦(√8	𝑦(√8	VERB
cana-3844	150	3	3	3	NUM
cana-3844	150	4	−	−	NOUN
cana-3844	150	5	1	1	NUM
cana-3844	150	6	)	)	PUNCT
cana-3844	150	7	−1	−1	NOUN
cana-3844	150	8	(	(	PUNCT
cana-3844	150	9	√8	√8	NOUN
cana-3844	150	10	3	3	NUM
cana-3844	150	11	−	−	NOUN
cana-3844	150	12	1	1	NUM
cana-3844	150	13	)	)	PUNCT
cana-3844	150	14	𝑦	𝑦	NOUN
cana-3844	150	15	=	=	SYM
cana-3844	150	16	1	1	X
cana-3844	150	17	.	.	PUNCT
cana-3844	151	1	however	however	ADV
cana-3844	151	2	,	,	PUNCT
cana-3844	151	3	contrary	contrary	ADV
cana-3844	151	4	to	to	ADP
cana-3844	151	5	this	this	PRON
cana-3844	151	6	,	,	PUNCT
cana-3844	151	7	suppose	suppose	VERB
cana-3844	151	8	that	that	SCONJ
cana-3844	151	9	𝑌𝐵(q)=1	𝑌𝐵(q)=1	PROPN
cana-3844	151	10	.	.	PUNCT
cana-3844	152	1	eq	eq	X
cana-3844	152	2	.	.	PUNCT
cana-3844	153	1	(	(	PUNCT
cana-3844	153	2	10	10	NUM
cana-3844	153	3	)	)	PUNCT
cana-3844	153	4	thus	thus	ADV
cana-3844	153	5	suggests	suggest	VERB
cana-3844	153	6	(	(	PUNCT
cana-3844	153	7	√8	√8	NOUN
cana-3844	153	8	3	3	NUM
cana-3844	153	9	−1	−1	NOUN
cana-3844	153	10	)	)	PUNCT
cana-3844	153	11	−1	−1	NOUN
cana-3844	154	1	𝑦	𝑦	NOUN
cana-3844	154	2	∑𝑦𝑖=1	∑𝑦𝑖=1	PROPN
cana-3844	155	1	[	[	X
cana-3844	155	2	√8	√8	X
cana-3844	155	3	(	(	PUNCT
cana-3844	155	4	(	(	PUNCT
cana-3844	155	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	155	6	)	)	PUNCT
cana-3844	155	7	)	)	PUNCT
cana-3844	155	8	4	4	NUM
cana-3844	155	9	+	+	CCONJ
cana-3844	155	10	(	(	PUNCT
cana-3844	155	11	1	1	NUM
cana-3844	155	12	−	−	NOUN
cana-3844	155	13	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	155	14	)	)	PUNCT
cana-3844	155	15	)	)	PUNCT
cana-3844	155	16	4	4	NUM
cana-3844	155	17	)	)	PUNCT
cana-3844	155	18	3	3	NUM
cana-3844	156	1	−	−	NOUN
cana-3844	156	2	1	1	NUM
cana-3844	156	3	]	]	X
cana-3844	156	4	=	=	SYM
cana-3844	156	5	1	1	X
cana-3844	156	6	.	.	PUNCT
cana-3844	156	7	(	(	PUNCT
cana-3844	156	8	11	11	NUM
cana-3844	156	9	)	)	PUNCT
cana-3844	156	10	after	after	SCONJ
cana-3844	156	11	we	we	PRON
cana-3844	156	12	compute	compute	VERB
cana-3844	156	13	eq	eq	NOUN
cana-3844	156	14	.	.	PUNCT
cana-3844	157	1	(	(	PUNCT
cana-3844	157	2	11	11	NUM
cana-3844	157	3	)	)	PUNCT
cana-3844	157	4	,	,	PUNCT
cana-3844	157	5	we	we	PRON
cana-3844	157	6	get	get	VERB
cana-3844	157	7	√8((𝜇𝑄(𝑝𝑖	√8((𝜇𝑄(𝑝𝑖	NOUN
cana-3844	157	8	)	)	PUNCT
cana-3844	157	9	)	)	PUNCT
cana-3844	158	1	4	4	NUM
cana-3844	159	1	+	+	CCONJ
cana-3844	159	2	(	(	PUNCT
cana-3844	159	3	1	1	NUM
cana-3844	159	4	−	−	NOUN
cana-3844	159	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	159	6	)	)	PUNCT
cana-3844	159	7	)	)	PUNCT
cana-3844	159	8	4	4	NUM
cana-3844	159	9	)	)	PUNCT
cana-3844	159	10	3	3	NUM
cana-3844	159	11	=	=	SYM
cana-3844	159	12	√8	√8	NOUN
cana-3844	159	13	3	3	NUM
cana-3844	159	14	,	,	PUNCT
cana-3844	159	15	∀𝑝𝑖	∀𝑝𝑖	PROPN
cana-3844	159	16	∈	∈	PROPN
cana-3844	159	17	𝑃	𝑃	NOUN
cana-3844	159	18	;	;	PUNCT
cana-3844	159	19	(	(	PUNCT
cana-3844	159	20	12	12	NUM
cana-3844	159	21	)	)	PUNCT
cana-3844	159	22	which	which	PRON
cana-3844	159	23	gives	give	VERB
cana-3844	159	24	(	(	PUNCT
cana-3844	159	25	(	(	PUNCT
cana-3844	159	26	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	159	27	)	)	PUNCT
cana-3844	159	28	)	)	PUNCT
cana-3844	159	29	4	4	NUM
cana-3844	160	1	+	+	CCONJ
cana-3844	160	2	(	(	PUNCT
cana-3844	160	3	1	1	NUM
cana-3844	160	4	−	−	NOUN
cana-3844	160	5	𝜇𝑇(𝑠𝑖	𝜇𝑇(𝑠𝑖	NOUN
cana-3844	160	6	)	)	PUNCT
cana-3844	160	7	)	)	PUNCT
cana-3844	160	8	4	4	X
cana-3844	161	1	)	)	PUNCT
cana-3844	161	2	=	=	SYM
cana-3844	161	3	1	1	NUM
cana-3844	161	4	,	,	PUNCT
cana-3844	161	5	∀𝑝𝑖	∀𝑝𝑖	PROPN
cana-3844	161	6	∈	∈	PROPN
cana-3844	161	7	𝑃	𝑃	NOUN
cana-3844	161	8	;	;	PUNCT
cana-3844	161	9	(	(	PUNCT
cana-3844	161	10	13	13	X
cana-3844	161	11	)	)	PUNCT
cana-3844	161	12	whenever	whenever	SCONJ
cana-3844	161	13	you	you	PRON
cana-3844	161	14	use	use	VERB
cana-3844	161	15	this	this	DET
cana-3844	161	16	function	function	NOUN
cana-3844	161	17	membership	membership	NOUN
cana-3844	161	18	𝜇𝑄	𝜇𝑄	NOUN
cana-3844	161	19	is	be	AUX
cana-3844	161	20	either	either	CCONJ
cana-3844	161	21	0	0	NUM
cana-3844	161	22	or	or	CCONJ
cana-3844	161	23	1	1	NUM
cana-3844	161	24	is	be	AUX
cana-3844	161	25	this	this	PRON
cana-3844	161	26	true	true	ADJ
cana-3844	161	27	.	.	PUNCT
cana-3844	162	1	thus	thus	ADV
cana-3844	162	2	,	,	PUNCT
cana-3844	162	3	this	this	DET
cana-3844	162	4	supposition	supposition	NOUN
cana-3844	162	5	𝑌1	𝑌1	NOUN
cana-3844	162	6	is	be	AUX
cana-3844	162	7	proved	prove	VERB
cana-3844	162	8	.	.	PUNCT
cana-3844	163	1	(	(	PUNCT
cana-3844	163	2	y2	y2	NOUN
cana-3844	163	3	)	)	PUNCT
cana-3844	163	4	.	.	PUNCT
cana-3844	164	1	suppose	suppose	VERB
cana-3844	164	2	q	q	X
cana-3844	164	3	be	be	AUX
cana-3844	164	4	the	the	DET
cana-3844	164	5	most	most	ADV
cana-3844	164	6	fuzzy	fuzzy	ADJ
cana-3844	164	7	set	set	NOUN
cana-3844	164	8	,	,	PUNCT
cana-3844	164	9	i.e.	i.e.	X
cana-3844	164	10	,	,	PUNCT
cana-3844	164	11	𝜇𝑄(𝑝𝑖)=	𝜇𝑄(𝑝𝑖)=	ADJ
cana-3844	164	12	1	1	NUM
cana-3844	164	13	2	2	NUM
cana-3844	164	14	∀	∀	X
cana-3844	164	15	𝑝𝑖	𝑝𝑖	ADP
cana-3844	164	16	∈	∈	PROPN
cana-3844	164	17	𝑃.	𝑃.	PROPN
cana-3844	164	18	put	put	VERB
cana-3844	164	19	𝜇𝑄(𝑝𝑖)=	𝜇𝑄(𝑝𝑖)=	ADV
cana-3844	164	20	1	1	NUM
cana-3844	164	21	2	2	NUM
cana-3844	164	22	in	in	ADP
cana-3844	164	23	eq	eq	ADP
cana-3844	164	24	.	.	PUNCT
cana-3844	165	1	(	(	PUNCT
cana-3844	165	2	10	10	NUM
cana-3844	165	3	)	)	PUNCT
cana-3844	165	4	,	,	PUNCT
cana-3844	165	5	we	we	PRON
cana-3844	165	6	get	get	VERB
cana-3844	165	7	𝑌𝐵(q)=0	𝑌𝐵(q)=0	PROPN
cana-3844	165	8	.	.	PUNCT
cana-3844	166	1	in	in	ADP
cana-3844	166	2	the	the	DET
cana-3844	166	3	opposite	opposite	ADJ
cana-3844	166	4	case	case	NOUN
cana-3844	166	5	,	,	PUNCT
cana-3844	166	6	let	let	VERB
cana-3844	166	7	’s	’s	NOUN
cana-3844	166	8	suppose	suppose	VERB
cana-3844	167	1	that	that	SCONJ
cana-3844	167	2	𝑌𝐵(q)=0	𝑌𝐵(q)=0	PROPN
cana-3844	167	3	.	.	PUNCT
cana-3844	168	1	then	then	ADV
cana-3844	168	2	eq	eq	X
cana-3844	168	3	.	.	PUNCT
cana-3844	169	1	(	(	PUNCT
cana-3844	169	2	10	10	NUM
cana-3844	169	3	)	)	PUNCT
cana-3844	169	4	suggests	suggest	VERB
cana-3844	169	5	(	(	PUNCT
cana-3844	169	6	√8	√8	NOUN
cana-3844	169	7	3	3	NUM
cana-3844	169	8	−1	−1	NOUN
cana-3844	169	9	)	)	PUNCT
cana-3844	169	10	−1	−1	NOUN
cana-3844	170	1	𝑦	𝑦	NOUN
cana-3844	170	2	∑𝑦𝑖=1	∑𝑦𝑖=1	PROPN
cana-3844	171	1	[	[	X
cana-3844	171	2	√8	√8	X
cana-3844	171	3	(	(	PUNCT
cana-3844	171	4	(	(	PUNCT
cana-3844	171	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	171	6	)	)	PUNCT
cana-3844	171	7	)	)	PUNCT
cana-3844	171	8	4	4	NUM
cana-3844	171	9	+	+	CCONJ
cana-3844	171	10	(	(	PUNCT
cana-3844	171	11	1	1	NUM
cana-3844	171	12	−	−	NOUN
cana-3844	171	13	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	171	14	)	)	PUNCT
cana-3844	171	15	)	)	PUNCT
cana-3844	171	16	4	4	NUM
cana-3844	171	17	)	)	PUNCT
cana-3844	171	18	3	3	NUM
cana-3844	172	1	−	−	NOUN
cana-3844	172	2	1	1	NUM
cana-3844	172	3	]	]	X
cana-3844	172	4	=	=	SYM
cana-3844	172	5	0	0	X
cana-3844	172	6	.	.	PUNCT
cana-3844	173	1	(	(	PUNCT
cana-3844	173	2	14	14	NUM
cana-3844	173	3	)	)	PUNCT
cana-3844	173	4	it	it	PRON
cana-3844	173	5	gives	give	VERB
cana-3844	173	6	√8((𝜇𝑄(𝑝𝑖	√8((𝜇𝑄(𝑝𝑖	NOUN
cana-3844	173	7	)	)	PUNCT
cana-3844	173	8	)	)	PUNCT
cana-3844	174	1	4	4	NUM
cana-3844	175	1	+	+	CCONJ
cana-3844	175	2	(	(	PUNCT
cana-3844	175	3	1	1	NUM
cana-3844	175	4	−	−	NOUN
cana-3844	175	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	175	6	)	)	PUNCT
cana-3844	175	7	)	)	PUNCT
cana-3844	175	8	4	4	NUM
cana-3844	175	9	)	)	PUNCT
cana-3844	175	10	3	3	NUM
cana-3844	175	11	=	=	SYM
cana-3844	175	12	1	1	NUM
cana-3844	175	13	,	,	PUNCT
cana-3844	175	14	∀𝑝𝑖	∀𝑝𝑖	PROPN
cana-3844	175	15	∈	∈	PROPN
cana-3844	175	16	𝑃	𝑃	NOUN
cana-3844	175	17	;	;	PUNCT
cana-3844	175	18	which	which	PRON
cana-3844	175	19	is	be	AUX
cana-3844	175	20	possible	possible	ADJ
cana-3844	175	21	only	only	ADV
cana-3844	175	22	if	if	SCONJ
cana-3844	175	23	𝜇𝑄(𝑝𝑖)=0.5	𝜇𝑄(𝑝𝑖)=0.5	NOUN
cana-3844	175	24	∀	∀	X
cana-3844	175	25	𝑝𝑖	𝑝𝑖	ADP
cana-3844	175	26	∈	∈	PROPN
cana-3844	175	27	𝑃.	𝑃.	PROPN
cana-3844	175	28	thus	thus	ADV
cana-3844	175	29	,	,	PUNCT
cana-3844	175	30	axiom	axiom	NOUN
cana-3844	175	31	y2	y2	PROPN
cana-3844	175	32	is	be	AUX
cana-3844	175	33	proved	prove	VERB
cana-3844	175	34	.	.	PUNCT
cana-3844	176	1	(	(	PUNCT
cana-3844	176	2	y3	y3	PROPN
cana-3844	176	3	)	)	PUNCT
cana-3844	176	4	.	.	PUNCT
cana-3844	177	1	initially	initially	ADV
cana-3844	177	2	using	use	VERB
cana-3844	177	3	eq	eq	ADP
cana-3844	177	4	.	.	PUNCT
cana-3844	178	1	(	(	PUNCT
cana-3844	178	2	10	10	NUM
cana-3844	178	3	)	)	PUNCT
cana-3844	178	4	,	,	PUNCT
cana-3844	178	5	we	we	PRON
cana-3844	178	6	show	show	VERB
cana-3844	178	7	that	that	SCONJ
cana-3844	178	8	𝑌𝐵(q	𝑌𝐵(q	PROPN
cana-3844	178	9	)	)	PUNCT
cana-3844	178	10	,	,	PUNCT
cana-3844	178	11	declines	decline	VERB
cana-3844	178	12	if	if	SCONJ
cana-3844	178	13	the	the	DET
cana-3844	178	14	interval	interval	NOUN
cana-3844	178	15	[	[	X
cana-3844	178	16	0	0	NUM
cana-3844	178	17	,	,	PUNCT
cana-3844	178	18	1	1	NUM
cana-3844	178	19	2	2	NUM
cana-3844	178	20	)	)	PUNCT
cana-3844	178	21	contains	contain	VERB
cana-3844	178	22	the	the	DET
cana-3844	178	23	membership	membership	NOUN
cana-3844	178	24	function	function	NOUN
cana-3844	178	25	and	and	CCONJ
cana-3844	178	26	inclines	incline	VERB
cana-3844	178	27	when	when	SCONJ
cana-3844	178	28	it	it	PRON
cana-3844	178	29	is	be	AUX
cana-3844	178	30	exist	exist	VERB
cana-3844	178	31	in	in	ADP
cana-3844	178	32	the	the	DET
cana-3844	178	33	interval	interval	NOUN
cana-3844	178	34	(	(	PUNCT
cana-3844	178	35	1	1	NUM
cana-3844	178	36	2	2	NUM
cana-3844	178	37	,	,	PUNCT
cana-3844	178	38	1	1	NUM
cana-3844	178	39	]	]	PUNCT
cana-3844	178	40	in	in	ADP
cana-3844	178	41	order	order	NOUN
cana-3844	178	42	to	to	PART
cana-3844	178	43	prove	prove	VERB
cana-3844	178	44	axiom	axiom	NOUN
cana-3844	178	45	𝑌3	𝑌3	PROPN
cana-3844	178	46	.	.	PUNCT
cana-3844	179	1	communications	communication	NOUN
cana-3844	179	2	on	on	ADP
cana-3844	179	3	applied	apply	VERB
cana-3844	179	4	nonlinear	nonlinear	ADJ
cana-3844	179	5	analysis	analysis	NOUN
cana-3844	179	6	issn	issn	NOUN
cana-3844	179	7	:	:	PUNCT
cana-3844	179	8	1074	1074	NUM
cana-3844	179	9	-	-	PUNCT
cana-3844	179	10	133x	133x	NUM
cana-3844	179	11	vol	vol	NOUN
cana-3844	179	12	32	32	NUM
cana-3844	179	13	no	no	NOUN
cana-3844	179	14	.	.	PUNCT
cana-3844	180	1	9s	9s	NUM
cana-3844	180	2	(	(	PUNCT
cana-3844	180	3	2025	2025	NUM
cana-3844	180	4	)	)	PUNCT
cana-3844	180	5	141	141	NUM
cana-3844	180	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	181	1	so	so	ADV
cana-3844	181	2	,	,	PUNCT
cana-3844	181	3	define	define	VERB
cana-3844	181	4	a	a	DET
cana-3844	181	5	function	function	NOUN
cana-3844	181	6	by	by	ADP
cana-3844	181	7	𝐼(𝜇𝑄(𝑝𝑖	𝐼(𝜇𝑄(𝑝𝑖	NOUN
cana-3844	181	8	)	)	PUNCT
cana-3844	181	9	)	)	PUNCT
cana-3844	182	1	=	=	SYM
cana-3844	182	2	√8	√8	NOUN
cana-3844	182	3	(	(	PUNCT
cana-3844	182	4	(	(	PUNCT
cana-3844	182	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	182	6	)	)	PUNCT
cana-3844	182	7	)	)	PUNCT
cana-3844	182	8	4	4	NUM
cana-3844	182	9	+	+	CCONJ
cana-3844	182	10	(	(	PUNCT
cana-3844	182	11	1	1	NUM
cana-3844	182	12	−	−	NOUN
cana-3844	182	13	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	182	14	)	)	PUNCT
cana-3844	182	15	)	)	PUNCT
cana-3844	182	16	4	4	NUM
cana-3844	182	17	)	)	PUNCT
cana-3844	182	18	3	3	NUM
cana-3844	182	19	.	.	PUNCT
cana-3844	183	1	(	(	PUNCT
cana-3844	183	2	15	15	NUM
cana-3844	183	3	)	)	PUNCT
cana-3844	183	4	differentiate	differentiate	VERB
cana-3844	183	5	eq	eq	ADP
cana-3844	183	6	.	.	PUNCT
cana-3844	184	1	(	(	PUNCT
cana-3844	184	2	15	15	NUM
cana-3844	184	3	)	)	PUNCT
cana-3844	184	4	w.r.t	w.r.t	NOUN
cana-3844	184	5	.	.	PUNCT
cana-3844	185	1	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	X
cana-3844	185	2	)	)	PUNCT
cana-3844	185	3	,	,	PUNCT
cana-3844	185	4	we	we	PRON
cana-3844	185	5	get	get	VERB
cana-3844	185	6	𝑑𝐺(𝜇𝑄(𝑝𝑖	𝑑𝐺(𝜇𝑄(𝑝𝑖	NOUN
cana-3844	185	7	)	)	PUNCT
cana-3844	185	8	)	)	PUNCT
cana-3844	186	1	𝑑𝜇𝑄(𝑝𝑖	𝑑𝜇𝑄(𝑝𝑖	PROPN
cana-3844	186	2	)	)	PUNCT
cana-3844	186	3	=	=	PUNCT
cana-3844	187	1	√8	√8	NOUN
cana-3844	187	2	3	3	NUM
cana-3844	187	3	(	(	PUNCT
cana-3844	187	4	𝜇𝑄(𝑝𝑖)−	𝜇𝑄(𝑝𝑖)−	X
cana-3844	187	5	1	1	NUM
cana-3844	187	6	2	2	NUM
cana-3844	187	7	)	)	PUNCT
cana-3844	187	8	3	3	NUM
cana-3844	187	9	√((𝜇𝑄(𝑝𝑖	√((𝜇𝑄(𝑝𝑖	NOUN
cana-3844	187	10	)	)	PUNCT
cana-3844	187	11	)	)	PUNCT
cana-3844	187	12	4	4	NUM
cana-3844	188	1	+	+	ADJ
cana-3844	188	2	(	(	PUNCT
cana-3844	188	3	1−𝜇𝑄(𝑝𝑖	1−𝜇𝑄(𝑝𝑖	NUM
cana-3844	188	4	)	)	PUNCT
cana-3844	188	5	)	)	PUNCT
cana-3844	188	6	4	4	NUM
cana-3844	188	7	)	)	PUNCT
cana-3844	188	8	33	33	NUM
cana-3844	188	9	.	.	PUNCT
cana-3844	189	1	(	(	PUNCT
cana-3844	189	2	16	16	NUM
cana-3844	189	3	)	)	PUNCT
cana-3844	189	4	the	the	DET
cana-3844	189	5	denominator	denominator	NOUN
cana-3844	189	6	in	in	ADP
cana-3844	189	7	eq	eq	PROPN
cana-3844	189	8	.	.	PUNCT
cana-3844	190	1	(	(	PUNCT
cana-3844	190	2	16	16	NUM
cana-3844	190	3	)	)	PUNCT
cana-3844	190	4	remains	remain	VERB
cana-3844	190	5	positive	positive	ADJ
cana-3844	190	6	,	,	PUNCT
cana-3844	190	7	and	and	CCONJ
cana-3844	190	8	the	the	DET
cana-3844	190	9	numerator	numerator	NOUN
cana-3844	190	10	is	be	AUX
cana-3844	190	11	dependent	dependent	ADJ
cana-3844	190	12	on	on	ADP
cana-3844	190	13	the	the	DET
cana-3844	190	14	term	term	NOUN
cana-3844	190	15	’s	’s	PART
cana-3844	190	16	sign	sign	NOUN
cana-3844	190	17	(	(	PUNCT
cana-3844	190	18	3𝜇𝑄(𝑝𝑖	3𝜇𝑄(𝑝𝑖	NUM
cana-3844	190	19	)	)	PUNCT
cana-3844	191	1	−	−	PROPN
cana-3844	192	1	1	1	NUM
cana-3844	192	2	)	)	PUNCT
cana-3844	192	3	.	.	PUNCT
cana-3844	193	1	now	now	ADV
cana-3844	193	2	,	,	PUNCT
cana-3844	193	3	(	(	PUNCT
cana-3844	193	4	3𝜇𝑄(𝑝𝑖	3𝜇𝑄(𝑝𝑖	NUM
cana-3844	193	5	)	)	PUNCT
cana-3844	193	6	−	−	NUM
cana-3844	193	7	1	1	X
cana-3844	193	8	)	)	PUNCT
cana-3844	193	9	=	=	NOUN
cana-3844	193	10	.	.	PUNCT
cana-3844	193	11	{	{	PUNCT
cana-3844	194	1	𝑃𝑜𝑠𝑖𝑡𝑖𝑣𝑒	𝑃𝑜𝑠𝑖𝑡𝑖𝑣𝑒	PROPN
cana-3844	194	2	𝑖𝑓	𝑖𝑓	NOUN
cana-3844	194	3	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	194	4	)	)	PUNCT
cana-3844	194	5	∈	∈	PROPN
cana-3844	194	6	(	(	PUNCT
cana-3844	194	7	1	1	NUM
cana-3844	194	8	2	2	NUM
cana-3844	194	9	,	,	PUNCT
cana-3844	194	10	1	1	NUM
cana-3844	194	11	]	]	PUNCT
cana-3844	194	12	,	,	PUNCT
cana-3844	194	13	𝑁𝑒𝑔𝑎𝑡𝑖𝑣𝑒	𝑁𝑒𝑔𝑎𝑡𝑖𝑣𝑒	PROPN
cana-3844	194	14	𝑖𝑓	𝑖𝑓	NOUN
cana-3844	194	15	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	194	16	)	)	PUNCT
cana-3844	194	17	∈	∈	NOUN
cana-3844	195	1	[	[	X
cana-3844	195	2	0	0	NUM
cana-3844	195	3	,	,	PUNCT
cana-3844	195	4	1	1	NUM
cana-3844	195	5	2	2	NUM
cana-3844	195	6	)	)	PUNCT
cana-3844	195	7	.	.	PUNCT
cana-3844	196	1	this	this	PRON
cana-3844	196	2	indicates	indicate	VERB
cana-3844	196	3	that	that	SCONJ
cana-3844	196	4	g	g	PROPN
cana-3844	196	5	increase	increase	NOUN
cana-3844	196	6	at	at	ADP
cana-3844	196	7	(	(	PUNCT
cana-3844	196	8	0.5,1	0.5,1	X
cana-3844	196	9	]	]	PUNCT
cana-3844	196	10	and	and	CCONJ
cana-3844	196	11	at	at	ADP
cana-3844	196	12	this	this	PRON
cana-3844	196	13	[	[	X
cana-3844	196	14	0,0.5	0,0.5	NUM
cana-3844	196	15	)	)	PUNCT
cana-3844	196	16	it	it	PRON
cana-3844	196	17	is	be	AUX
cana-3844	196	18	decreased	decrease	VERB
cana-3844	196	19	.	.	PUNCT
cana-3844	197	1	let	let	VERB
cana-3844	197	2	’s	’s	NOUN
cana-3844	197	3	now	now	ADV
cana-3844	197	4	assume	assume	VERB
cana-3844	197	5	a	a	DET
cana-3844	197	6	fs	fs	ADP
cana-3844	197	7	q	q	NOUN
cana-3844	197	8	and	and	CCONJ
cana-3844	197	9	�	�	PROPN
cana-3844	197	10	̃	̃	PROPN
cana-3844	197	11	�	�	PROPN
cana-3844	197	12	are	be	AUX
cana-3844	197	13	there	there	ADV
cana-3844	197	14	sharpened	sharpen	VERB
cana-3844	197	15	version	version	NOUN
cana-3844	197	16	.	.	PUNCT
cana-3844	198	1	𝐺(𝜇𝑄(𝑝𝑖	𝐺(𝜇𝑄(𝑝𝑖	NOUN
cana-3844	198	2	)	)	PUNCT
cana-3844	198	3	)	)	PUNCT
cana-3844	199	1	≥	≥	PROPN
cana-3844	199	2	g(𝜇	g(𝜇	PROPN
cana-3844	199	3	�	�	PROPN
cana-3844	199	4	̃	̃	PROPN
cana-3844	199	5	�	�	PROPN
cana-3844	199	6	(𝑝𝑖	(𝑝𝑖	NUM
cana-3844	199	7	)	)	PUNCT
cana-3844	199	8	)	)	PUNCT
cana-3844	200	1	for	for	ADP
cana-3844	200	2	the	the	DET
cana-3844	200	3	interval	interval	NOUN
cana-3844	200	4	(	(	PUNCT
cana-3844	200	5	0.5,1	0.5,1	NUM
cana-3844	200	6	)	)	PUNCT
cana-3844	200	7	since	since	SCONJ
cana-3844	200	8	g	g	PROPN
cana-3844	200	9	is	be	AUX
cana-3844	200	10	an	an	DET
cana-3844	200	11	increasing	increase	VERB
cana-3844	200	12	function	function	NOUN
cana-3844	200	13	of	of	ADP
cana-3844	200	14	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	200	15	)	)	PUNCT
cana-3844	200	16	.	.	PUNCT
cana-3844	201	1	the	the	DET
cana-3844	201	2	result	result	NOUN
cana-3844	201	3	is	be	AUX
cana-3844	201	4	𝑌𝐵(	𝑌𝐵(	NOUN
cana-3844	201	5	�	�	PROPN
cana-3844	201	6	̃	̃	PROPN
cana-3844	201	7	�	�	PROPN
cana-3844	201	8	)≥	)≥	ADJ
cana-3844	201	9	𝑌𝐵	𝑌𝐵	PROPN
cana-3844	201	10	(	(	PUNCT
cana-3844	201	11	q	q	NOUN
cana-3844	201	12	)	)	PUNCT
cana-3844	201	13	.	.	PUNCT
cana-3844	202	1	𝐺(𝜇𝑄(𝑝𝑖	𝐺(𝜇𝑄(𝑝𝑖	NOUN
cana-3844	202	2	)	)	PUNCT
cana-3844	202	3	)	)	PUNCT
cana-3844	203	1	≤	≤	NUM
cana-3844	203	2	g(𝜇	g(𝜇	PROPN
cana-3844	203	3	�	�	PROPN
cana-3844	203	4	̃	̃	PROPN
cana-3844	203	5	�	�	PROPN
cana-3844	203	6	(𝑝𝑖	(𝑝𝑖	NUM
cana-3844	203	7	)	)	PUNCT
cana-3844	203	8	)	)	PUNCT
cana-3844	204	1	likewise	likewise	ADV
cana-3844	204	2	holds	hold	VERB
cana-3844	204	3	if	if	SCONJ
cana-3844	204	4	g	g	PROPN
cana-3844	204	5	states	state	VERB
cana-3844	204	6	that	that	SCONJ
cana-3844	204	7	it	it	PRON
cana-3844	204	8	is	be	AUX
cana-3844	204	9	a	a	DET
cana-3844	204	10	function	function	NOUN
cana-3844	204	11	that	that	PRON
cana-3844	204	12	is	be	AUX
cana-3844	204	13	decreasing	decrease	VERB
cana-3844	204	14	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	204	15	)	)	PUNCT
cana-3844	204	16	in	in	ADP
cana-3844	204	17	this	this	DET
cana-3844	204	18	interval	interval	NOUN
cana-3844	204	19	[	[	X
cana-3844	204	20	0,0.5	0,0.5	X
cana-3844	204	21	]	]	X
cana-3844	204	22	.	.	PUNCT
cana-3844	205	1	the	the	DET
cana-3844	205	2	result	result	NOUN
cana-3844	205	3	is	be	AUX
cana-3844	205	4	𝑌𝐵(	𝑌𝐵(	NOUN
cana-3844	205	5	�	�	PROPN
cana-3844	205	6	̃	̃	PROPN
cana-3844	205	7	�	�	PROPN
cana-3844	205	8	)≥	)≥	PUNCT
cana-3844	205	9	𝑌𝐵(q	𝑌𝐵(q	PROPN
cana-3844	205	10	)	)	PUNCT
cana-3844	205	11	.	.	PUNCT
cana-3844	206	1	the	the	DET
cana-3844	206	2	axiom	axiom	NOUN
cana-3844	206	3	(	(	PUNCT
cana-3844	206	4	y3	y3	PROPN
cana-3844	206	5	)	)	PUNCT
cana-3844	206	6	is	be	AUX
cana-3844	206	7	thus	thus	ADV
cana-3844	206	8	proved	prove	VERB
cana-3844	206	9	.	.	PUNCT
cana-3844	207	1	(	(	PUNCT
cana-3844	207	2	y4).by	y4).by	PROPN
cana-3844	207	3	substituting	substitute	VERB
cana-3844	207	4	𝑄𝑗	𝑄𝑗	PROPN
cana-3844	207	5	for	for	ADP
cana-3844	207	6	q	q	NOUN
cana-3844	207	7	in	in	ADP
cana-3844	207	8	eq	eq	ADP
cana-3844	207	9	.	.	PUNCT
cana-3844	207	10	(	(	PUNCT
cana-3844	207	11	10	10	NUM
cana-3844	207	12	)	)	PUNCT
cana-3844	207	13	to	to	PART
cana-3844	207	14	demonstrate	demonstrate	VERB
cana-3844	207	15	axiom	axiom	NOUN
cana-3844	207	16	y4	y4	PROPN
cana-3844	207	17	,	,	PUNCT
cana-3844	207	18	we	we	PRON
cana-3844	207	19	have	have	VERB
cana-3844	207	20	𝑌𝐵(𝑄𝑗	𝑌𝐵(𝑄𝑗	PRON
cana-3844	207	21	)	)	PUNCT
cana-3844	208	1	=	=	SYM
cana-3844	208	2	(	(	PUNCT
cana-3844	208	3	√8	√8	NOUN
cana-3844	208	4	3	3	NUM
cana-3844	208	5	−1	−1	NOUN
cana-3844	208	6	)	)	PUNCT
cana-3844	208	7	−1	−1	NOUN
cana-3844	209	1	𝑦	𝑦	NOUN
cana-3844	209	2	∑𝑦𝑖=1	∑𝑦𝑖=1	PROPN
cana-3844	210	1	[	[	X
cana-3844	210	2	√8	√8	X
cana-3844	210	3	(	(	PUNCT
cana-3844	210	4	(	(	PUNCT
cana-3844	210	5	𝜇𝑄𝑗(𝑝𝑖	𝜇𝑄𝑗(𝑝𝑖	NOUN
cana-3844	210	6	)	)	PUNCT
cana-3844	210	7	)	)	PUNCT
cana-3844	210	8	4	4	NUM
cana-3844	211	1	+	+	CCONJ
cana-3844	211	2	(	(	PUNCT
cana-3844	211	3	1	1	NUM
cana-3844	211	4	−	−	NOUN
cana-3844	211	5	𝜇𝑄𝑗(𝑝𝑖	𝜇𝑄𝑗(𝑝𝑖	NOUN
cana-3844	211	6	)	)	PUNCT
cana-3844	211	7	)	)	PUNCT
cana-3844	211	8	4	4	NUM
cana-3844	211	9	)	)	PUNCT
cana-3844	211	10	3	3	NUM
cana-3844	211	11	−	−	PROPN
cana-3844	211	12	1	1	NUM
cana-3844	211	13	]	]	PUNCT
cana-3844	211	14	,	,	PUNCT
cana-3844	211	15	=	=	SYM
cana-3844	211	16	(	(	PUNCT
cana-3844	211	17	√8	√8	PROPN
cana-3844	211	18	3	3	NUM
cana-3844	211	19	−1	−1	NOUN
cana-3844	211	20	)	)	PUNCT
cana-3844	211	21	−1	−1	NOUN
cana-3844	212	1	𝑦	𝑦	NOUN
cana-3844	212	2	∑𝑦𝑖=1	∑𝑦𝑖=1	PROPN
cana-3844	213	1	[	[	X
cana-3844	213	2	√8	√8	X
cana-3844	213	3	(	(	PUNCT
cana-3844	213	4	(	(	PUNCT
cana-3844	213	5	1	1	NUM
cana-3844	213	6	−	−	NOUN
cana-3844	213	7	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	213	8	)	)	PUNCT
cana-3844	213	9	)	)	PUNCT
cana-3844	213	10	4	4	NUM
cana-3844	213	11	+	+	CCONJ
cana-3844	213	12	(	(	PUNCT
cana-3844	213	13	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	213	14	)	)	PUNCT
cana-3844	213	15	)	)	PUNCT
cana-3844	213	16	4	4	NUM
cana-3844	213	17	)	)	PUNCT
cana-3844	213	18	3	3	NUM
cana-3844	213	19	−	−	PROPN
cana-3844	213	20	1	1	NUM
cana-3844	213	21	]	]	PUNCT
cana-3844	213	22	,	,	PUNCT
cana-3844	213	23	=	=	SYM
cana-3844	213	24	𝑌𝐵(𝑄	𝑌𝐵(𝑄	NOUN
cana-3844	213	25	)	)	PUNCT
cana-3844	213	26	.	.	PUNCT
cana-3844	214	1	(	(	PUNCT
cana-3844	214	2	17	17	NUM
cana-3844	214	3	)	)	PUNCT
cana-3844	214	4	this	this	PRON
cana-3844	214	5	proves	prove	VERB
cana-3844	214	6	axiom	axiom	NOUN
cana-3844	214	7	(	(	PUNCT
cana-3844	214	8	y4	y4	NUM
cana-3844	214	9	)	)	PUNCT
cana-3844	214	10	.	.	PUNCT
cana-3844	215	1	therefore	therefore	ADV
cana-3844	215	2	,	,	PUNCT
cana-3844	215	3	𝑌𝐵(q	𝑌𝐵(q	ADJ
cana-3844	215	4	)	)	PUNCT
cana-3844	215	5	is	be	AUX
cana-3844	215	6	a	a	DET
cana-3844	215	7	legitimate	legitimate	ADJ
cana-3844	215	8	fkm	fkm	NOUN
cana-3844	215	9	.	.	PUNCT
cana-3844	216	1	3.2	3.2	NUM
cana-3844	216	2	properties	property	NOUN
cana-3844	216	3	the	the	DET
cana-3844	216	4	properties	property	NOUN
cana-3844	216	5	of	of	ADP
cana-3844	216	6	the	the	DET
cana-3844	216	7	proposed	propose	VERB
cana-3844	216	8	km	km	NOUN
cana-3844	216	9	𝑌𝐵(q	𝑌𝐵(q	PROPN
cana-3844	216	10	)	)	PUNCT
cana-3844	216	11	are	be	AUX
cana-3844	216	12	examined	examine	VERB
cana-3844	216	13	in	in	ADP
cana-3844	216	14	this	this	DET
cana-3844	216	15	section	section	NOUN
cana-3844	216	16	.	.	PUNCT
cana-3844	217	1	theorem	theorem	VERB
cana-3844	217	2	2	2	NUM
cana-3844	217	3	the	the	DET
cana-3844	217	4	idea	idea	NOUN
cana-3844	217	5	for	for	ADP
cana-3844	217	6	the	the	DET
cana-3844	217	7	knowledge	knowledge	NOUN
cana-3844	217	8	measure	measure	NOUN
cana-3844	217	9	yb(q	yb(q	NOUN
cana-3844	217	10	)	)	PUNCT
cana-3844	217	11	satisfies	satisfy	VERB
cana-3844	217	12	the	the	DET
cana-3844	217	13	properties	property	NOUN
cana-3844	217	14	listed	list	VERB
cana-3844	217	15	below	below	ADP
cana-3844	217	16	:	:	PUNCT
cana-3844	217	17	•	•	NUM
cana-3844	217	18	𝑌𝐵(q)=𝑌𝐵(𝑄𝑗	𝑌𝐵(q)=𝑌𝐵(𝑄𝑗	PROPN
cana-3844	217	19	)	)	PUNCT
cana-3844	217	20	.	.	PUNCT
cana-3844	218	1	•	•	NOUN
cana-3844	218	2	for	for	ADP
cana-3844	218	3	a	a	DET
cana-3844	218	4	fuzzy	fuzzy	ADJ
cana-3844	218	5	set	set	NOUN
cana-3844	218	6	q	q	NOUN
cana-3844	218	7	,	,	PUNCT
cana-3844	218	8	𝑌𝐵(q	𝑌𝐵(q	ADJ
cana-3844	218	9	)	)	PUNCT
cana-3844	218	10	∈[0,1	∈[0,1	ADV
cana-3844	218	11	]	]	PUNCT
cana-3844	218	12	.	.	PUNCT
cana-3844	219	1	communications	communication	NOUN
cana-3844	219	2	on	on	ADP
cana-3844	219	3	applied	apply	VERB
cana-3844	219	4	nonlinear	nonlinear	ADJ
cana-3844	219	5	analysis	analysis	NOUN
cana-3844	219	6	issn	issn	NOUN
cana-3844	219	7	:	:	PUNCT
cana-3844	219	8	1074	1074	NUM
cana-3844	219	9	-	-	PUNCT
cana-3844	219	10	133x	133x	NUM
cana-3844	219	11	vol	vol	NOUN
cana-3844	219	12	32	32	NUM
cana-3844	219	13	no	no	NOUN
cana-3844	219	14	.	.	PUNCT
cana-3844	220	1	9s	9s	NUM
cana-3844	220	2	(	(	PUNCT
cana-3844	220	3	2025	2025	NUM
cana-3844	220	4	)	)	PUNCT
cana-3844	220	5	142	142	NUM
cana-3844	220	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	220	7	•	•	ADP
cana-3844	220	8	𝑌𝐵(𝑄1	𝑌𝐵(𝑄1	NOUN
cana-3844	220	9	∪	∪	ADJ
cana-3844	220	10	𝑄2)+𝑌𝐵(𝑄1	𝑄2)+𝑌𝐵(𝑄1	ADJ
cana-3844	220	11	∩	∩	NOUN
cana-3844	220	12	𝑄2)=𝑌𝐵(𝑄1)+𝑌𝐵(𝑄2	𝑄2)=𝑌𝐵(𝑄1)+𝑌𝐵(𝑄2	VERB
cana-3844	220	13	)	)	PUNCT
cana-3844	220	14	regarding	regard	VERB
cana-3844	220	15	any	any	DET
cana-3844	220	16	two	two	NUM
cana-3844	220	17	independent	independent	ADJ
cana-3844	220	18	fuzzy	fuzzy	ADJ
cana-3844	220	19	sets	set	NOUN
cana-3844	220	20	𝑄1	𝑄1	PROPN
cana-3844	220	21	,	,	PUNCT
cana-3844	220	22	𝑄2	𝑄2	PROPN
cana-3844	220	23	.	.	PROPN
cana-3844	221	1	proof	proof	NOUN
cana-3844	221	2	.	.	PUNCT
cana-3844	222	1	(	(	PUNCT
cana-3844	222	2	1	1	NUM
cana-3844	222	3	)	)	PUNCT
cana-3844	222	4	.	.	PUNCT
cana-3844	223	1	from	from	ADP
cana-3844	223	2	the	the	DET
cana-3844	223	3	axiom	axiom	NOUN
cana-3844	223	4	(	(	PUNCT
cana-3844	223	5	y4	y4	PROPN
cana-3844	223	6	)	)	PUNCT
cana-3844	223	7	,	,	PUNCT
cana-3844	223	8	the	the	DET
cana-3844	223	9	proof	proof	NOUN
cana-3844	223	10	is	be	AUX
cana-3844	223	11	clear	clear	ADJ
cana-3844	223	12	.	.	PUNCT
cana-3844	224	1	(	(	PUNCT
cana-3844	224	2	2	2	NUM
cana-3844	224	3	)	)	PUNCT
cana-3844	224	4	.	.	PUNCT
cana-3844	225	1	given	give	VERB
cana-3844	225	2	that	that	SCONJ
cana-3844	225	3	(	(	PUNCT
cana-3844	225	4	1	1	NUM
cana-3844	225	5	−	−	NOUN
cana-3844	225	6	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	225	7	)	)	PUNCT
cana-3844	225	8	)	)	PUNCT
cana-3844	225	9	resides	reside	VERB
cana-3844	225	10	in	in	ADP
cana-3844	225	11	[	[	X
cana-3844	225	12	0,1	0,1	NUM
cana-3844	225	13	]	]	PUNCT
cana-3844	225	14	,	,	PUNCT
cana-3844	225	15	and	and	CCONJ
cana-3844	225	16	that	that	SCONJ
cana-3844	225	17	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	VERB
cana-3844	225	18	)	)	PUNCT
cana-3844	225	19	is	be	AUX
cana-3844	225	20	known	know	VERB
cana-3844	225	21	for	for	ADP
cana-3844	225	22	each	each	DET
cana-3844	225	23	member	member	NOUN
cana-3844	225	24	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	225	25	in	in	ADP
cana-3844	225	26	p	p	PROPN
cana-3844	225	27	so	so	ADV
cana-3844	225	28	,	,	PUNCT
cana-3844	225	29	0	0	NUM
cana-3844	225	30	≤	≤	NUM
cana-3844	225	31	(	(	PUNCT
cana-3844	225	32	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	225	33	)	)	PUNCT
cana-3844	225	34	)	)	PUNCT
cana-3844	225	35	4	4	NUM
cana-3844	225	36	≤	≤	NUM
cana-3844	225	37	1	1	NUM
cana-3844	225	38	and	and	CCONJ
cana-3844	225	39	0	0	NUM
cana-3844	225	40	≤	≤	NUM
cana-3844	225	41	(	(	PUNCT
cana-3844	225	42	1	1	NUM
cana-3844	225	43	−	−	NOUN
cana-3844	225	44	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	225	45	)	)	PUNCT
cana-3844	225	46	)	)	PUNCT
cana-3844	225	47	4	4	NUM
cana-3844	225	48	≤	≤	NUM
cana-3844	225	49	1	1	NUM
cana-3844	225	50	∀𝑝𝑖	∀𝑝𝑖	NOUN
cana-3844	225	51	∈	∈	PROPN
cana-3844	225	52	𝑃.	𝑃.	PROPN
cana-3844	225	53	⇒	⇒	NOUN
cana-3844	225	54	0	0	NUM
cana-3844	225	55	≤	≤	NUM
cana-3844	225	56	(	(	PUNCT
cana-3844	225	57	(	(	PUNCT
cana-3844	225	58	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	225	59	)	)	PUNCT
cana-3844	225	60	)	)	PUNCT
cana-3844	225	61	4	4	NUM
cana-3844	226	1	+	+	CCONJ
cana-3844	226	2	(	(	PUNCT
cana-3844	226	3	1	1	NUM
cana-3844	226	4	−	−	NOUN
cana-3844	226	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	226	6	)	)	PUNCT
cana-3844	226	7	)	)	PUNCT
cana-3844	226	8	4	4	NUM
cana-3844	226	9	)	)	PUNCT
cana-3844	226	10	≤	≤	NUM
cana-3844	226	11	1	1	NUM
cana-3844	226	12	,	,	PUNCT
cana-3844	226	13	⇒	⇒	NOUN
cana-3844	226	14	0	0	NUM
cana-3844	226	15	≤	≤	NUM
cana-3844	226	16	8	8	NUM
cana-3844	226	17	(	(	PUNCT
cana-3844	226	18	(	(	PUNCT
cana-3844	226	19	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	226	20	)	)	PUNCT
cana-3844	226	21	)	)	PUNCT
cana-3844	226	22	4	4	NUM
cana-3844	227	1	+	+	CCONJ
cana-3844	227	2	(	(	PUNCT
cana-3844	227	3	1	1	NUM
cana-3844	227	4	−	−	NOUN
cana-3844	227	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	227	6	)	)	PUNCT
cana-3844	227	7	)	)	PUNCT
cana-3844	227	8	4	4	NUM
cana-3844	227	9	)	)	PUNCT
cana-3844	227	10	≤	≤	NUM
cana-3844	227	11	8	8	NUM
cana-3844	227	12	,	,	PUNCT
cana-3844	227	13	⇒	⇒	VERB
cana-3844	227	14	0	0	NUM
cana-3844	227	15	≤	≤	NUM
cana-3844	227	16	√8((𝜇𝑄(𝑝𝑖	√8((𝜇𝑄(𝑝𝑖	NOUN
cana-3844	227	17	)	)	PUNCT
cana-3844	227	18	)	)	PUNCT
cana-3844	227	19	4	4	NUM
cana-3844	228	1	+	+	CCONJ
cana-3844	228	2	(	(	PUNCT
cana-3844	228	3	1	1	NUM
cana-3844	228	4	−	−	NOUN
cana-3844	228	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	228	6	)	)	PUNCT
cana-3844	228	7	)	)	PUNCT
cana-3844	228	8	4	4	NUM
cana-3844	228	9	)	)	PUNCT
cana-3844	228	10	3	3	NUM
cana-3844	228	11	≤	≤	NOUN
cana-3844	228	12	√8	√8	X
cana-3844	228	13	3	3	NUM
cana-3844	228	14	,	,	PUNCT
cana-3844	228	15	⇒	⇒	VERB
cana-3844	228	16	0	0	NUM
cana-3844	228	17	≤	≤	NUM
cana-3844	228	18	√8((𝜇𝑄(𝑝𝑖	√8((𝜇𝑄(𝑝𝑖	NOUN
cana-3844	228	19	)	)	PUNCT
cana-3844	228	20	)	)	PUNCT
cana-3844	228	21	4	4	NUM
cana-3844	229	1	+	+	CCONJ
cana-3844	229	2	(	(	PUNCT
cana-3844	229	3	1	1	NUM
cana-3844	229	4	−	−	NOUN
cana-3844	229	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	229	6	)	)	PUNCT
cana-3844	229	7	)	)	PUNCT
cana-3844	229	8	4	4	NUM
cana-3844	229	9	)	)	PUNCT
cana-3844	230	1	3	3	NUM
cana-3844	230	2	−	−	PROPN
cana-3844	230	3	1	1	NUM
cana-3844	230	4	≤	≤	NOUN
cana-3844	230	5	√8	√8	NOUN
cana-3844	230	6	3	3	NUM
cana-3844	230	7	−	−	PROPN
cana-3844	230	8	1	1	NUM
cana-3844	230	9	,	,	PUNCT
cana-3844	230	10	⇒	⇒	NOUN
cana-3844	230	11	0	0	NUM
cana-3844	230	12	≤	≤	NOUN
cana-3844	230	13	(	(	PUNCT
cana-3844	230	14	√8	√8	NOUN
cana-3844	230	15	3	3	NUM
cana-3844	230	16	−1	−1	NOUN
cana-3844	230	17	)	)	PUNCT
cana-3844	230	18	−1	−1	NOUN
cana-3844	230	19	𝑦	𝑦	NOUN
cana-3844	230	20	∑𝑦𝑖=1	∑𝑦𝑖=1	PROPN
cana-3844	231	1	[	[	X
cana-3844	231	2	√8	√8	X
cana-3844	231	3	(	(	PUNCT
cana-3844	231	4	(	(	PUNCT
cana-3844	231	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	231	6	)	)	PUNCT
cana-3844	231	7	)	)	PUNCT
cana-3844	231	8	3	3	NUM
cana-3844	231	9	+	+	CCONJ
cana-3844	231	10	(	(	PUNCT
cana-3844	231	11	1	1	NUM
cana-3844	231	12	−	−	NOUN
cana-3844	231	13	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	231	14	)	)	PUNCT
cana-3844	231	15	)	)	PUNCT
cana-3844	231	16	4	4	NUM
cana-3844	231	17	)	)	PUNCT
cana-3844	231	18	3	3	NUM
cana-3844	232	1	−	−	PROPN
cana-3844	232	2	1	1	NUM
cana-3844	232	3	]	]	PUNCT
cana-3844	232	4	≤	≤	NUM
cana-3844	232	5	1	1	NUM
cana-3844	232	6	,	,	PUNCT
cana-3844	232	7	⇒	⇒	VERB
cana-3844	232	8	0	0	NUM
cana-3844	232	9	≤	≤	NUM
cana-3844	232	10	𝑌𝐵(𝑄	𝑌𝐵(𝑄	NOUN
cana-3844	232	11	)	)	PUNCT
cana-3844	232	12	≤	≤	NUM
cana-3844	232	13	1	1	NUM
cana-3844	232	14	.	.	PUNCT
cana-3844	233	1	(	(	PUNCT
cana-3844	233	2	3	3	NUM
cana-3844	233	3	)	)	PUNCT
cana-3844	233	4	.	.	PUNCT
cana-3844	234	1	let	let	VERB
cana-3844	234	2	𝑄1	𝑄1	PROPN
cana-3844	234	3	,	,	PUNCT
cana-3844	234	4	𝑄2	𝑄2	PROPN
cana-3844	234	5	∈	∈	PROPN
cana-3844	234	6	fs(p	fs(p	PROPN
cana-3844	234	7	)	)	PUNCT
cana-3844	234	8	.	.	PUNCT
cana-3844	235	1	divide	divide	VERB
cana-3844	235	2	p	p	NOUN
cana-3844	235	3	into	into	ADP
cana-3844	235	4	two	two	NUM
cana-3844	235	5	parts	part	NOUN
cana-3844	235	6	as	as	SCONJ
cana-3844	235	7	follows	follow	VERB
cana-3844	235	8	:	:	PUNCT
cana-3844	235	9	𝑃1	𝑃1	NOUN
cana-3844	235	10	=	=	SYM
cana-3844	235	11	{	{	PUNCT
cana-3844	235	12	𝑝𝑖	𝑝𝑖	PROPN
cana-3844	235	13	∈	∈	PROPN
cana-3844	235	14	𝑃|𝜇𝑄1(𝑝𝑖	𝑃|𝜇𝑄1(𝑝𝑖	PROPN
cana-3844	235	15	)	)	PUNCT
cana-3844	235	16	≥	≥	NOUN
cana-3844	235	17	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	235	18	)	)	PUNCT
cana-3844	235	19	}	}	PUNCT
cana-3844	235	20	,	,	PUNCT
cana-3844	236	1	𝑃2	𝑃2	NOUN
cana-3844	236	2	=	=	SYM
cana-3844	236	3	{	{	PUNCT
cana-3844	236	4	𝑝𝑖	𝑝𝑖	PROPN
cana-3844	236	5	∈	∈	PROPN
cana-3844	236	6	𝑃|𝜇𝑄1(𝑝𝑖	𝑃|𝜇𝑄1(𝑝𝑖	PROPN
cana-3844	236	7	)	)	PUNCT
cana-3844	236	8	<	<	X
cana-3844	236	9	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	236	10	)	)	PUNCT
cana-3844	236	11	}	}	PUNCT
cana-3844	236	12	;	;	PUNCT
cana-3844	236	13	(	(	PUNCT
cana-3844	236	14	18	18	NUM
cana-3844	236	15	)	)	PUNCT
cana-3844	236	16	for	for	ADP
cana-3844	236	17	the	the	DET
cana-3844	236	18	fs	fs	PROPN
cana-3844	236	19	𝑄1	𝑄1	PROPN
cana-3844	236	20	and	and	CCONJ
cana-3844	236	21	𝑄2	𝑄2	PROPN
cana-3844	236	22	,	,	PUNCT
cana-3844	236	23	the	the	DET
cana-3844	236	24	membership	membership	NOUN
cana-3844	236	25	functions	function	NOUN
cana-3844	236	26	are	be	AUX
cana-3844	236	27	𝜇𝑄1(𝑝𝑖	𝜇𝑄1(𝑝𝑖	NOUN
cana-3844	236	28	)	)	PUNCT
cana-3844	236	29	and	and	CCONJ
cana-3844	236	30	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	236	31	)	)	PUNCT
cana-3844	236	32	,	,	PUNCT
cana-3844	236	33	respectively	respectively	ADV
cana-3844	236	34	.	.	PUNCT
cana-3844	236	35	"	"	PUNCT
cana-3844	237	1	"	"	PUNCT
cana-3844	237	2	let	let	VERB
cana-3844	237	3	’s	’s	NOUN
cana-3844	237	4	now	now	ADV
cana-3844	237	5	assume	assume	VERB
cana-3844	237	6	that	that	SCONJ
cana-3844	237	7	𝑝𝑖	𝑝𝑖	VERB
cana-3844	237	8	∈	∈	PROPN
cana-3844	237	9	𝑃1	𝑃1	NOUN
cana-3844	237	10	.	.	PUNCT
cana-3844	238	1	𝜇𝑄1∪𝑄2(𝑝𝑖	𝜇𝑄1∪𝑄2(𝑝𝑖	NOUN
cana-3844	238	2	)	)	PUNCT
cana-3844	239	1	=	=	SYM
cana-3844	239	2	𝑚𝑎𝑥{𝜇𝑄1(𝑝𝑖	𝑚𝑎𝑥{𝜇𝑄1(𝑝𝑖	PROPN
cana-3844	239	3	)	)	PUNCT
cana-3844	239	4	,	,	PUNCT
cana-3844	239	5	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	239	6	)	)	PUNCT
cana-3844	239	7	}	}	PUNCT
cana-3844	239	8	=	=	SYM
cana-3844	239	9	𝜇𝑄1(𝑝𝑖	𝜇𝑄1(𝑝𝑖	NOUN
cana-3844	239	10	)	)	PUNCT
cana-3844	239	11	,	,	PUNCT
cana-3844	239	12	𝜇𝑄1∩𝑄2(𝑝𝑖	𝜇𝑄1∩𝑄2(𝑝𝑖	NOUN
cana-3844	239	13	)	)	PUNCT
cana-3844	239	14	=	=	SYM
cana-3844	239	15	𝑚𝑖𝑛{𝜇𝑄1(𝑝𝑖	𝑚𝑖𝑛{𝜇𝑄1(𝑝𝑖	PROPN
cana-3844	239	16	)	)	PUNCT
cana-3844	239	17	,	,	PUNCT
cana-3844	239	18	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	239	19	)	)	PUNCT
cana-3844	239	20	}	}	PUNCT
cana-3844	239	21	=	=	SYM
cana-3844	239	22	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	239	23	)	)	PUNCT
cana-3844	239	24	;	;	PUNCT
cana-3844	239	25	(	(	PUNCT
cana-3844	239	26	19	19	NUM
cana-3844	239	27	)	)	PUNCT
cana-3844	239	28	and	and	CCONJ
cana-3844	239	29	if	if	SCONJ
cana-3844	239	30	𝑝𝑖	𝑝𝑖	PROPN
cana-3844	239	31	∈	∈	PROPN
cana-3844	239	32	𝑃2	𝑃2	PROPN
cana-3844	239	33	,	,	PUNCT
cana-3844	239	34	then	then	ADV
cana-3844	239	35	𝜇𝑄1∪𝑄2(𝑝𝑖	𝜇𝑄1∪𝑄2(𝑝𝑖	NOUN
cana-3844	239	36	)	)	PUNCT
cana-3844	239	37	=	=	SYM
cana-3844	240	1	𝑚𝑎𝑥{𝜇𝑄1(𝑝𝑖	𝑚𝑎𝑥{𝜇𝑄1(𝑝𝑖	PROPN
cana-3844	240	2	)	)	PUNCT
cana-3844	240	3	,	,	PUNCT
cana-3844	240	4	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	240	5	)	)	PUNCT
cana-3844	240	6	}	}	PUNCT
cana-3844	240	7	=	=	SYM
cana-3844	240	8	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	240	9	)	)	PUNCT
cana-3844	240	10	,	,	PUNCT
cana-3844	240	11	𝜇𝑄1∩𝑄2(𝑝𝑖	𝜇𝑄1∩𝑄2(𝑝𝑖	NOUN
cana-3844	240	12	)	)	PUNCT
cana-3844	240	13	=	=	SYM
cana-3844	240	14	𝑚𝑖𝑛{𝜇𝑄1(𝑝𝑖	𝑚𝑖𝑛{𝜇𝑄1(𝑝𝑖	PROPN
cana-3844	240	15	)	)	PUNCT
cana-3844	240	16	,	,	PUNCT
cana-3844	240	17	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	240	18	)	)	PUNCT
cana-3844	240	19	}	}	PUNCT
cana-3844	240	20	=	=	SYM
cana-3844	240	21	𝜇𝑄1(𝑝𝑖	𝜇𝑄1(𝑝𝑖	NOUN
cana-3844	240	22	)	)	PUNCT
cana-3844	240	23	.	.	PUNCT
cana-3844	241	1	(	(	PUNCT
cana-3844	241	2	20	20	NUM
cana-3844	241	3	)	)	PUNCT
cana-3844	241	4	now	now	ADV
cana-3844	241	5	,	,	PUNCT
cana-3844	241	6	∀𝑝𝑖	∀𝑝𝑖	PROPN
cana-3844	241	7	∈	∈	PROPN
cana-3844	241	8	𝑃	𝑃	PROPN
cana-3844	241	9	,	,	PUNCT
cana-3844	241	10	𝑌𝐵(𝑄1	𝑌𝐵(𝑄1	PROPN
cana-3844	241	11	∪	∪	ADP
cana-3844	241	12	𝑄2	𝑄2	PROPN
cana-3844	241	13	)	)	PUNCT
cana-3844	241	14	+	+	CCONJ
cana-3844	241	15	𝑌	𝑌	PROPN
cana-3844	241	16	𝐵(𝑄1	𝐵(𝑄1	NOUN
cana-3844	241	17	∩	∩	NOUN
cana-3844	241	18	𝑄2	𝑄2	NOUN
cana-3844	241	19	)	)	PUNCT
cana-3844	241	20	=	=	SYM
cana-3844	241	21	(	(	PUNCT
cana-3844	241	22	√8	√8	NOUN
cana-3844	241	23	3	3	NUM
cana-3844	241	24	−	−	NOUN
cana-3844	241	25	1	1	NUM
cana-3844	241	26	)	)	PUNCT
cana-3844	241	27	−1	−1	NOUN
cana-3844	241	28	𝑦	𝑦	X
cana-3844	241	29	∑	∑	PUNCT
cana-3844	241	30	𝑦	𝑦	X
cana-3844	241	31	𝑖=1	𝑖=1	PUNCT
cana-3844	242	1	[	[	X
cana-3844	242	2	√8	√8	X
cana-3844	242	3	(	(	PUNCT
cana-3844	242	4	(	(	PUNCT
cana-3844	242	5	𝜇𝑄1∪𝑄2(𝑝𝑖	𝜇𝑄1∪𝑄2(𝑝𝑖	NOUN
cana-3844	242	6	)	)	PUNCT
cana-3844	242	7	)	)	PUNCT
cana-3844	243	1	4	4	NUM
cana-3844	244	1	+	+	CCONJ
cana-3844	244	2	(	(	PUNCT
cana-3844	244	3	1	1	NUM
cana-3844	244	4	−	−	PROPN
cana-3844	244	5	𝜇𝑄1∪𝑄2(𝑝𝑖	𝜇𝑄1∪𝑄2(𝑝𝑖	NOUN
cana-3844	244	6	)	)	PUNCT
cana-3844	244	7	)	)	PUNCT
cana-3844	244	8	4	4	NUM
cana-3844	244	9	)	)	PUNCT
cana-3844	244	10	3	3	NUM
cana-3844	244	11	−	−	PROPN
cana-3844	244	12	1	1	NUM
cana-3844	244	13	]	]	PUNCT
cana-3844	244	14	communications	communication	NOUN
cana-3844	244	15	on	on	ADP
cana-3844	244	16	applied	apply	VERB
cana-3844	244	17	nonlinear	nonlinear	ADJ
cana-3844	244	18	analysis	analysis	NOUN
cana-3844	244	19	issn	issn	NOUN
cana-3844	244	20	:	:	PUNCT
cana-3844	244	21	1074	1074	NUM
cana-3844	244	22	-	-	PUNCT
cana-3844	244	23	133x	133x	NUM
cana-3844	244	24	vol	vol	NOUN
cana-3844	244	25	32	32	NUM
cana-3844	245	1	no	no	NOUN
cana-3844	245	2	.	.	PUNCT
cana-3844	246	1	9s	9s	NUM
cana-3844	246	2	(	(	PUNCT
cana-3844	246	3	2025	2025	NUM
cana-3844	246	4	)	)	PUNCT
cana-3844	246	5	143	143	NUM
cana-3844	246	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	246	7	+	+	CCONJ
cana-3844	246	8	(	(	PUNCT
cana-3844	246	9	√8	√8	NOUN
cana-3844	246	10	3	3	NUM
cana-3844	246	11	−	−	NOUN
cana-3844	246	12	1	1	NUM
cana-3844	246	13	)	)	PUNCT
cana-3844	246	14	−1	−1	NOUN
cana-3844	246	15	𝑦	𝑦	X
cana-3844	246	16	∑	∑	PUNCT
cana-3844	246	17	𝑦	𝑦	X
cana-3844	246	18	𝑖=1	𝑖=1	PUNCT
cana-3844	247	1	[	[	X
cana-3844	247	2	√8	√8	X
cana-3844	247	3	(	(	PUNCT
cana-3844	247	4	(	(	PUNCT
cana-3844	247	5	𝜇𝑄1∩𝑄2(𝑝𝑖	𝜇𝑄1∩𝑄2(𝑝𝑖	NOUN
cana-3844	247	6	)	)	PUNCT
cana-3844	247	7	)	)	PUNCT
cana-3844	247	8	4	4	NUM
cana-3844	248	1	+	+	CCONJ
cana-3844	248	2	(	(	PUNCT
cana-3844	248	3	1	1	NUM
cana-3844	248	4	−	−	PROPN
cana-3844	248	5	𝜇𝑄1∩𝑄2(𝑝𝑖	𝜇𝑄1∩𝑄2(𝑝𝑖	NOUN
cana-3844	248	6	)	)	PUNCT
cana-3844	248	7	)	)	PUNCT
cana-3844	248	8	4	4	NUM
cana-3844	248	9	)	)	PUNCT
cana-3844	248	10	3	3	NUM
cana-3844	248	11	−	−	PROPN
cana-3844	248	12	1	1	NUM
cana-3844	248	13	]	]	PUNCT
cana-3844	248	14	.	.	PUNCT
cana-3844	249	1	it	it	PRON
cana-3844	249	2	gives	give	VERB
cana-3844	249	3	𝑌𝐵(𝑄1	𝑌𝐵(𝑄1	NOUN
cana-3844	249	4	∪	∪	X
cana-3844	249	5	𝑄2	𝑄2	PROPN
cana-3844	249	6	)	)	PUNCT
cana-3844	250	1	+	+	CCONJ
cana-3844	250	2	𝑌	𝑌	PROPN
cana-3844	250	3	𝐵(𝑄1	𝐵(𝑄1	NOUN
cana-3844	250	4	∩	∩	NOUN
cana-3844	250	5	𝑄2	𝑄2	NOUN
cana-3844	250	6	)	)	PUNCT
cana-3844	250	7	=	=	SYM
cana-3844	251	1	(	(	PUNCT
cana-3844	251	2	√8	√8	NOUN
cana-3844	251	3	3	3	NUM
cana-3844	251	4	−1	−1	NOUN
cana-3844	251	5	)	)	PUNCT
cana-3844	251	6	−1	−1	NOUN
cana-3844	251	7	𝑦	𝑦	X
cana-3844	251	8	∑𝑝1	∑𝑝1	PROPN
cana-3844	252	1	[	[	X
cana-3844	252	2	√8	√8	X
cana-3844	252	3	(	(	PUNCT
cana-3844	252	4	(	(	PUNCT
cana-3844	252	5	𝜇𝑄1(𝑝𝑖	𝜇𝑄1(𝑝𝑖	NOUN
cana-3844	252	6	)	)	PUNCT
cana-3844	252	7	)	)	PUNCT
cana-3844	252	8	4	4	NUM
cana-3844	253	1	+	+	CCONJ
cana-3844	253	2	(	(	PUNCT
cana-3844	253	3	1	1	NUM
cana-3844	253	4	−	−	PROPN
cana-3844	253	5	𝜇𝑄1(𝑝𝑖	𝜇𝑄1(𝑝𝑖	NOUN
cana-3844	253	6	)	)	PUNCT
cana-3844	253	7	)	)	PUNCT
cana-3844	253	8	4	4	NUM
cana-3844	253	9	)	)	PUNCT
cana-3844	253	10	3	3	NUM
cana-3844	253	11	−	−	NOUN
cana-3844	253	12	1	1	NUM
cana-3844	253	13	]	]	PUNCT
cana-3844	253	14	+	+	CCONJ
cana-3844	253	15	(	(	PUNCT
cana-3844	253	16	√8	√8	NOUN
cana-3844	253	17	3	3	NUM
cana-3844	253	18	−1	−1	NOUN
cana-3844	253	19	)	)	PUNCT
cana-3844	253	20	−1	−1	NOUN
cana-3844	253	21	𝑦	𝑦	X
cana-3844	253	22	∑𝑝1	∑𝑝1	PROPN
cana-3844	254	1	[	[	X
cana-3844	254	2	√8	√8	X
cana-3844	254	3	(	(	PUNCT
cana-3844	254	4	(	(	PUNCT
cana-3844	254	5	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	254	6	)	)	PUNCT
cana-3844	254	7	)	)	PUNCT
cana-3844	254	8	4	4	NUM
cana-3844	255	1	+	+	CCONJ
cana-3844	255	2	(	(	PUNCT
cana-3844	255	3	1	1	NUM
cana-3844	255	4	−	−	NOUN
cana-3844	255	5	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	255	6	)	)	PUNCT
cana-3844	255	7	)	)	PUNCT
cana-3844	255	8	4	4	NUM
cana-3844	255	9	)	)	PUNCT
cana-3844	255	10	3	3	NUM
cana-3844	255	11	−	−	NOUN
cana-3844	255	12	1	1	NUM
cana-3844	255	13	]	]	PUNCT
cana-3844	255	14	+	+	CCONJ
cana-3844	255	15	(	(	PUNCT
cana-3844	255	16	√8	√8	NOUN
cana-3844	255	17	3	3	NUM
cana-3844	255	18	−1	−1	NOUN
cana-3844	255	19	)	)	PUNCT
cana-3844	255	20	−1	−1	NOUN
cana-3844	256	1	𝑦	𝑦	NOUN
cana-3844	256	2	∑𝑝2	∑𝑝2	PROPN
cana-3844	257	1	[	[	X
cana-3844	257	2	√8	√8	X
cana-3844	257	3	(	(	PUNCT
cana-3844	257	4	(	(	PUNCT
cana-3844	257	5	𝜇𝑄1(𝑝𝑖	𝜇𝑄1(𝑝𝑖	NOUN
cana-3844	257	6	)	)	PUNCT
cana-3844	257	7	)	)	PUNCT
cana-3844	257	8	4	4	NUM
cana-3844	257	9	+	+	CCONJ
cana-3844	257	10	(	(	PUNCT
cana-3844	257	11	1	1	NUM
cana-3844	257	12	−	−	PROPN
cana-3844	257	13	𝜇𝑄1(𝑝𝑖	𝜇𝑄1(𝑝𝑖	NOUN
cana-3844	257	14	)	)	PUNCT
cana-3844	257	15	)	)	PUNCT
cana-3844	257	16	4	4	NUM
cana-3844	257	17	)	)	PUNCT
cana-3844	257	18	3	3	NUM
cana-3844	257	19	−	−	NOUN
cana-3844	257	20	1	1	NUM
cana-3844	257	21	]	]	PUNCT
cana-3844	257	22	+	+	CCONJ
cana-3844	257	23	(	(	PUNCT
cana-3844	257	24	√8	√8	NOUN
cana-3844	257	25	3	3	NUM
cana-3844	257	26	−1	−1	NOUN
cana-3844	257	27	)	)	PUNCT
cana-3844	257	28	−1	−1	NOUN
cana-3844	257	29	𝑦	𝑦	NOUN
cana-3844	257	30	∑𝑝2	∑𝑝2	PROPN
cana-3844	258	1	[	[	X
cana-3844	258	2	√8	√8	X
cana-3844	258	3	(	(	PUNCT
cana-3844	258	4	(	(	PUNCT
cana-3844	258	5	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	258	6	)	)	PUNCT
cana-3844	258	7	)	)	PUNCT
cana-3844	258	8	4	4	NUM
cana-3844	258	9	+	+	CCONJ
cana-3844	258	10	(	(	PUNCT
cana-3844	258	11	1	1	NUM
cana-3844	258	12	−	−	NOUN
cana-3844	258	13	𝜇𝑄2(𝑝𝑖	𝜇𝑄2(𝑝𝑖	NOUN
cana-3844	258	14	)	)	PUNCT
cana-3844	258	15	)	)	PUNCT
cana-3844	258	16	4	4	NUM
cana-3844	258	17	)	)	PUNCT
cana-3844	258	18	3	3	NUM
cana-3844	258	19	−	−	PROPN
cana-3844	258	20	1	1	NUM
cana-3844	258	21	]	]	PUNCT
cana-3844	258	22	.	.	PUNCT
cana-3844	259	1	(	(	PUNCT
cana-3844	259	2	21	21	NUM
cana-3844	259	3	)	)	PUNCT
cana-3844	259	4	on	on	ADP
cana-3844	259	5	solving	solve	VERB
cana-3844	259	6	,	,	PUNCT
cana-3844	259	7	we	we	PRON
cana-3844	259	8	have	have	VERB
cana-3844	259	9	𝑌𝐵(𝑄1	𝑌𝐵(𝑄1	NOUN
cana-3844	259	10	∪	∪	ADP
cana-3844	259	11	𝑄2	𝑄2	PROPN
cana-3844	259	12	)	)	PUNCT
cana-3844	260	1	+	+	CCONJ
cana-3844	260	2	𝑌	𝑌	PROPN
cana-3844	260	3	𝐵(𝑄1	𝐵(𝑄1	NOUN
cana-3844	260	4	∩	∩	NOUN
cana-3844	260	5	𝑄2	𝑄2	NOUN
cana-3844	260	6	)	)	PUNCT
cana-3844	261	1	=	=	SYM
cana-3844	261	2	𝑌	𝑌	PROPN
cana-3844	261	3	𝐵(𝑄1	𝐵(𝑄1	PROPN
cana-3844	261	4	)	)	PUNCT
cana-3844	261	5	+	+	CCONJ
cana-3844	261	6	𝑌	𝑌	PROPN
cana-3844	261	7	𝐵(𝑄2	𝐵(𝑄2	NUM
cana-3844	261	8	)	)	PUNCT
cana-3844	261	9	.	.	PUNCT
cana-3844	262	1	(	(	PUNCT
cana-3844	262	2	22	22	NUM
cana-3844	262	3	)	)	PUNCT
cana-3844	262	4	figure	figure	NOUN
cana-3844	262	5	1	1	NUM
cana-3844	262	6	:	:	PUNCT
cana-3844	262	7	proposed	propose	VERB
cana-3844	262	8	knowledge	knowledge	NOUN
cana-3844	262	9	measure	measure	NOUN
cana-3844	262	10	.	.	PUNCT
cana-3844	263	1	3.3	3.3	NUM
cana-3844	263	2	evaluative	evaluative	ADJ
cana-3844	263	3	comparison	comparison	NOUN
cana-3844	263	4	the	the	DET
cana-3844	263	5	recommended	recommend	VERB
cana-3844	263	6	fkm	fkm	PROPN
cana-3844	263	7	is	be	AUX
cana-3844	263	8	now	now	ADV
cana-3844	263	9	compared	compare	VERB
cana-3844	263	10	against	against	ADP
cana-3844	263	11	the	the	DET
cana-3844	263	12	existing	exist	VERB
cana-3844	263	13	fkms	fkms	NOUN
cana-3844	263	14	and	and	CCONJ
cana-3844	263	15	fims	fim	NOUN
cana-3844	263	16	.	.	PUNCT
cana-3844	264	1	the	the	DET
cana-3844	264	2	proposed	propose	VERB
cana-3844	264	3	fkm	fkm	PROPN
cana-3844	264	4	’s	’s	PART
cana-3844	264	5	benefits	benefit	NOUN
cana-3844	264	6	are	be	AUX
cana-3844	264	7	examined	examine	VERB
cana-3844	264	8	.	.	PUNCT
cana-3844	265	1	we	we	PRON
cana-3844	265	2	study	study	VERB
cana-3844	265	3	these	these	DET
cana-3844	265	4	benefits	benefit	NOUN
cana-3844	265	5	in	in	ADP
cana-3844	265	6	using	use	VERB
cana-3844	265	7	structured	structured	ADJ
cana-3844	265	8	language	language	NOUN
cana-3844	265	9	variables	variable	NOUN
cana-3844	265	10	,	,	PUNCT
cana-3844	265	11	determining	determine	VERB
cana-3844	265	12	the	the	DET
cana-3844	265	13	content	content	NOUN
cana-3844	265	14	of	of	ADP
cana-3844	265	15	uncertainty	uncertainty	NOUN
cana-3844	265	16	in	in	ADP
cana-3844	265	17	an	an	DET
cana-3844	265	18	fs	fs	NOUN
cana-3844	265	19	,	,	PUNCT
cana-3844	265	20	and	and	CCONJ
cana-3844	265	21	allocating	allocate	VERB
cana-3844	265	22	the	the	DET
cana-3844	265	23	weights	weight	NOUN
cana-3844	265	24	of	of	ADP
cana-3844	265	25	attribute	attribute	NOUN
cana-3844	265	26	in	in	ADP
cana-3844	265	27	mcdm	mcdm	ADJ
cana-3844	265	28	issues	issue	NOUN
cana-3844	265	29	.	.	PUNCT
cana-3844	266	1	the	the	DET
cana-3844	266	2	following	follow	VERB
cana-3844	266	3	are	be	AUX
cana-3844	266	4	some	some	DET
cana-3844	266	5	examples	example	NOUN
cana-3844	266	6	of	of	ADP
cana-3844	266	7	modern	modern	ADJ
cana-3844	266	8	policies	policy	NOUN
cana-3844	266	9	that	that	PRON
cana-3844	266	10	are	be	AUX
cana-3844	266	11	discussed	discuss	VERB
cana-3844	266	12	in	in	ADP
cana-3844	266	13	the	the	DET
cana-3844	266	14	literature	literature	NOUN
cana-3844	266	15	:	:	PUNCT
cana-3844	266	16	communications	communication	NOUN
cana-3844	266	17	on	on	ADP
cana-3844	266	18	applied	apply	VERB
cana-3844	266	19	nonlinear	nonlinear	ADJ
cana-3844	266	20	analysis	analysis	NOUN
cana-3844	266	21	issn	issn	NOUN
cana-3844	266	22	:	:	PUNCT
cana-3844	266	23	1074	1074	NUM
cana-3844	266	24	-	-	PUNCT
cana-3844	266	25	133x	133x	NUM
cana-3844	266	26	vol	vol	NOUN
cana-3844	266	27	32	32	NUM
cana-3844	267	1	no	no	NOUN
cana-3844	267	2	.	.	PUNCT
cana-3844	268	1	9s	9s	NUM
cana-3844	268	2	(	(	PUNCT
cana-3844	268	3	2025	2025	NUM
cana-3844	268	4	)	)	PUNCT
cana-3844	269	1	144	144	NUM
cana-3844	269	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	269	3	𝑅𝑌	𝑅𝑌	PROPN
cana-3844	269	4	𝑟(𝑄	𝑟(𝑄	NOUN
cana-3844	269	5	)	)	PUNCT
cana-3844	269	6	=	=	SYM
cana-3844	270	1	1	1	NUM
cana-3844	270	2	−	−	PRON
cana-3844	270	3	𝑑𝑟(𝑄,𝑄	𝑑𝑟(𝑄,𝑄	PROPN
cana-3844	270	4	𝑗	𝑗	PROPN
cana-3844	270	5	)	)	PUNCT
cana-3844	270	6	𝑦	𝑦	NOUN
cana-3844	270	7	1	1	NUM
cana-3844	270	8	𝑟	𝑟	NOUN
cana-3844	270	9	;	;	PUNCT
cana-3844	270	10	(	(	PUNCT
cana-3844	270	11	yager	yager	NOUN
cana-3844	270	12	[	[	X
cana-3844	270	13	6	6	NUM
cana-3844	270	14	]	]	NUM
cana-3844	270	15	)	)	PUNCT
cana-3844	270	16	,	,	PUNCT
cana-3844	270	17	(	(	PUNCT
cana-3844	270	18	23	23	NUM
cana-3844	270	19	)	)	PUNCT
cana-3844	270	20	where	where	SCONJ
cana-3844	270	21	𝑑𝑟(𝑄1	𝑑𝑟(𝑄1	NOUN
cana-3844	270	22	,	,	PUNCT
cana-3844	270	23	𝑄2	𝑄2	PROPN
cana-3844	270	24	)	)	PUNCT
cana-3844	270	25	=	=	PUNCT
cana-3844	271	1	[	[	X
cana-3844	271	2	∑	∑	PUNCT
cana-3844	271	3	𝑦	𝑦	SYM
cana-3844	271	4	𝑖=1	𝑖=1	PROPN
cana-3844	271	5	|𝜇𝑄1(𝑝𝑖	|𝜇𝑄1(𝑝𝑖	NUM
cana-3844	271	6	)	)	PUNCT
cana-3844	271	7	−	−	NOUN
cana-3844	271	8	𝜇𝑄2(𝑝𝑖)|	𝜇𝑄2(𝑝𝑖)|	NOUN
cana-3844	271	9	𝑟	𝑟	X
cana-3844	271	10	]	]	X
cana-3844	271	11	1	1	NUM
cana-3844	271	12	𝑟	𝑟	NOUN
cana-3844	271	13	,	,	PUNCT
cana-3844	271	14	𝑅𝑌	𝑅𝑌	PROPN
cana-3844	271	15	𝑝(𝑄	𝑝(𝑄	PROPN
cana-3844	271	16	)	)	PUNCT
cana-3844	271	17	=	=	SYM
cana-3844	271	18	𝑑𝑟(𝑄,𝑄𝑛𝑒𝑎𝑟	𝑑𝑟(𝑄,𝑄𝑛𝑒𝑎𝑟	PROPN
cana-3844	271	19	)	)	PUNCT
cana-3844	271	20	𝑑𝑟(𝑄,𝑄𝑓𝑎𝑟	𝑑𝑟(𝑄,𝑄𝑓𝑎𝑟	NOUN
cana-3844	271	21	)	)	PUNCT
cana-3844	271	22	;	;	PUNCT
cana-3844	271	23	(	(	PUNCT
cana-3844	271	24	kosko	kosko	ADV
cana-3844	271	25	[	[	X
cana-3844	271	26	21	21	NUM
cana-3844	271	27	]	]	SYM
cana-3844	271	28	)	)	PUNCT
cana-3844	271	29	,	,	PUNCT
cana-3844	271	30	𝜇𝑄𝑛𝑒𝑎𝑟(𝑝𝑖	𝜇𝑄𝑛𝑒𝑎𝑟(𝑝𝑖	NUM
cana-3844	271	31	)	)	PUNCT
cana-3844	271	32	=	=	PRON
cana-3844	271	33	{	{	PUNCT
cana-3844	271	34	1	1	NUM
cana-3844	271	35	if	if	SCONJ
cana-3844	271	36	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	271	37	)	)	PUNCT
cana-3844	271	38	≥	≥	NOUN
cana-3844	271	39	1	1	NUM
cana-3844	271	40	2	2	NUM
cana-3844	271	41	0	0	NUM
cana-3844	271	42	if	if	SCONJ
cana-3844	271	43	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	271	44	)	)	PUNCT
cana-3844	271	45	<	<	X
cana-3844	271	46	1	1	NUM
cana-3844	271	47	2	2	NUM
cana-3844	271	48	and	and	CCONJ
cana-3844	271	49	𝜇𝑄𝑓𝑎𝑟(𝑝𝑖	𝜇𝑄𝑓𝑎𝑟(𝑝𝑖	PROPN
cana-3844	271	50	)	)	PUNCT
cana-3844	271	51	=	=	NOUN
cana-3844	271	52	{	{	PUNCT
cana-3844	271	53	1	1	NUM
cana-3844	271	54	if	if	SCONJ
cana-3844	271	55	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	271	56	)	)	PUNCT
cana-3844	271	57	<	<	X
cana-3844	271	58	1	1	NUM
cana-3844	271	59	2	2	NUM
cana-3844	271	60	0	0	NUM
cana-3844	271	61	if	if	SCONJ
cana-3844	271	62	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	271	63	)	)	PUNCT
cana-3844	271	64	≥	≥	NOUN
cana-3844	271	65	1	1	NUM
cana-3844	271	66	2	2	NUM
cana-3844	271	67	.	.	PUNCT
cana-3844	272	1	(	(	PUNCT
cana-3844	272	2	24	24	NUM
cana-3844	272	3	)	)	PUNCT
cana-3844	272	4	𝑅𝑈(𝑄	𝑅𝑈(𝑄	NOUN
cana-3844	272	5	)	)	PUNCT
cana-3844	272	6	=	=	SYM
cana-3844	273	1	1	1	NUM
cana-3844	273	2	𝑦	𝑦	NUM
cana-3844	273	3	∑𝑦𝑖=1	∑𝑦𝑖=1	PROPN
cana-3844	274	1	[	[	X
cana-3844	274	2	𝜇𝑄(𝑝𝑖)𝑒	𝜇𝑄(𝑝𝑖)𝑒	NUM
cana-3844	274	3	1−𝜇𝑄(𝑝𝑖	1−𝜇𝑄(𝑝𝑖	NUM
cana-3844	274	4	)	)	PUNCT
cana-3844	275	1	+	+	CCONJ
cana-3844	275	2	(	(	PUNCT
cana-3844	275	3	1	1	NUM
cana-3844	275	4	−	−	NOUN
cana-3844	275	5	𝜇𝑄(𝑝𝑖))𝑒	𝜇𝑄(𝑝𝑖))𝑒	NOUN
cana-3844	275	6	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	275	7	)	)	PUNCT
cana-3844	275	8	]	]	PUNCT
cana-3844	275	9	;	;	PUNCT
cana-3844	275	10	(	(	PUNCT
cana-3844	275	11	pal	pal	NOUN
cana-3844	275	12	and	and	CCONJ
cana-3844	275	13	pal	pal	ADJ
cana-3844	275	14	[	[	X
cana-3844	275	15	22	22	NUM
cana-3844	275	16	]	]	PUNCT
cana-3844	275	17	)	)	PUNCT
cana-3844	275	18	.	.	PUNCT
cana-3844	276	1	(	(	PUNCT
cana-3844	276	2	25	25	NUM
cana-3844	276	3	)	)	PUNCT
cana-3844	276	4	𝑌𝑃(𝑄	𝑌𝑃(𝑄	NOUN
cana-3844	276	5	)	)	PUNCT
cana-3844	276	6	=	=	SYM
cana-3844	277	1	1	1	NUM
cana-3844	277	2	𝑦	𝑦	NOUN
cana-3844	277	3	∑𝑦𝑖=1	∑𝑦𝑖=1	NOUN
cana-3844	277	4	2	2	NUM
cana-3844	277	5	[	[	X
cana-3844	277	6	(	(	PUNCT
cana-3844	277	7	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	277	8	)	)	PUNCT
cana-3844	277	9	)	)	PUNCT
cana-3844	278	1	2	2	NUM
cana-3844	279	1	+	+	CCONJ
cana-3844	279	2	(	(	PUNCT
cana-3844	279	3	1	1	NUM
cana-3844	279	4	−	−	NOUN
cana-3844	279	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	279	6	)	)	PUNCT
cana-3844	279	7	)	)	PUNCT
cana-3844	279	8	2	2	NUM
cana-3844	279	9	]	]	PUNCT
cana-3844	279	10	−	−	PROPN
cana-3844	279	11	1	1	NUM
cana-3844	279	12	;	;	PUNCT
cana-3844	279	13	(	(	PUNCT
cana-3844	279	14	singh	singh	PROPN
cana-3844	279	15	et	et	PROPN
cana-3844	279	16	al	al	PROPN
cana-3844	279	17	.	.	PUNCT
cana-3844	280	1	[	[	X
cana-3844	280	2	12	12	NUM
cana-3844	280	3	]	]	PUNCT
cana-3844	280	4	)	)	PUNCT
cana-3844	280	5	.	.	PUNCT
cana-3844	281	1	(	(	PUNCT
cana-3844	281	2	26	26	NUM
cana-3844	281	3	)	)	PUNCT
cana-3844	281	4	yp	yp	PROPN
cana-3844	281	5	β	β	X
cana-3844	281	6	(	(	PUNCT
cana-3844	281	7	q	q	X
cana-3844	281	8	)	)	PUNCT
cana-3844	281	9	=	=	SYM
cana-3844	281	10	1	1	NUM
cana-3844	281	11	y	y	NOUN
cana-3844	281	12	∑yi=1	∑yi=1	PROPN
cana-3844	281	13	2	2	NUM
cana-3844	282	1	[	[	X
cana-3844	282	2	(	(	PUNCT
cana-3844	282	3	μq(pi	μq(pi	NOUN
cana-3844	282	4	)	)	PUNCT
cana-3844	282	5	)	)	PUNCT
cana-3844	283	1	β	β	X
cana-3844	284	1	+	+	CCONJ
cana-3844	284	2	(	(	PUNCT
cana-3844	284	3	1	1	NUM
cana-3844	284	4	−	−	PROPN
cana-3844	284	5	μq(pi	μq(pi	NOUN
cana-3844	284	6	)	)	PUNCT
cana-3844	284	7	)	)	PUNCT
cana-3844	285	1	β	β	X
cana-3844	285	2	]	]	PUNCT
cana-3844	286	1	−	−	PROPN
cana-3844	286	2	1	1	NUM
cana-3844	286	3	;	;	PUNCT
cana-3844	286	4	β	β	X
cana-3844	286	5	>	>	X
cana-3844	286	6	1(singh	1(singh	NUM
cana-3844	286	7	et	et	NOUN
cana-3844	286	8	al[23	al[23	PROPN
cana-3844	286	9	]	]	PUNCT
cana-3844	286	10	)	)	PUNCT
cana-3844	286	11	.	.	PUNCT
cana-3844	287	1	(	(	PUNCT
cana-3844	287	2	27	27	NUM
cana-3844	287	3	)	)	PUNCT
cana-3844	287	4	𝑌𝑂𝑌(𝑄	𝑌𝑂𝑌(𝑄	X
cana-3844	287	5	)	)	PUNCT
cana-3844	288	1	=	=	SYM
cana-3844	288	2	log2	log2	PROPN
cana-3844	288	3	[	[	PUNCT
cana-3844	288	4	2	2	NUM
cana-3844	288	5	𝑦	𝑦	NOUN
cana-3844	288	6	∑𝑦𝑖=1	∑𝑦𝑖=1	PROPN
cana-3844	288	7	(	(	PUNCT
cana-3844	288	8	(	(	PUNCT
cana-3844	288	9	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	288	10	)	)	PUNCT
cana-3844	288	11	)	)	PUNCT
cana-3844	288	12	2	2	NUM
cana-3844	289	1	+	+	CCONJ
cana-3844	289	2	(	(	PUNCT
cana-3844	289	3	1	1	NUM
cana-3844	289	4	−	−	NOUN
cana-3844	289	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	289	6	)	)	PUNCT
cana-3844	289	7	)	)	PUNCT
cana-3844	289	8	2	2	NUM
cana-3844	289	9	)	)	PUNCT
cana-3844	289	10	]	]	PUNCT
cana-3844	289	11	;	;	PUNCT
cana-3844	289	12	(	(	PUNCT
cana-3844	289	13	arya	arya	PROPN
cana-3844	289	14	and	and	CCONJ
cana-3844	289	15	kumar[24	kumar[24	PROPN
cana-3844	289	16	]	]	X
cana-3844	289	17	)	)	PUNCT
cana-3844	289	18	.	.	PUNCT
cana-3844	290	1	(	(	PUNCT
cana-3844	290	2	28	28	NUM
cana-3844	290	3	)	)	PUNCT
cana-3844	290	4	𝑌𝑃	𝑌𝑃	ADV
cana-3844	290	5	𝛽,𝛾	𝛽,𝛾	ADJ
cana-3844	290	6	(	(	PUNCT
cana-3844	290	7	𝑄	𝑄	PROPN
cana-3844	290	8	)	)	PUNCT
cana-3844	290	9	=	=	SYM
cana-3844	290	10	1	1	NUM
cana-3844	290	11	𝑦	𝑦	NOUN
cana-3844	290	12	∑𝑦𝑖=1	∑𝑦𝑖=1	NOUN
cana-3844	290	13	2	2	NUM
cana-3844	290	14	[	[	X
cana-3844	290	15	(	(	PUNCT
cana-3844	290	16	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	290	17	)	)	PUNCT
cana-3844	290	18	)	)	PUNCT
cana-3844	291	1	𝛽	𝛽	NOUN
cana-3844	291	2	+	+	CCONJ
cana-3844	291	3	(	(	PUNCT
cana-3844	291	4	1	1	NUM
cana-3844	291	5	−	−	NOUN
cana-3844	291	6	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	291	7	)	)	PUNCT
cana-3844	291	8	)	)	PUNCT
cana-3844	292	1	𝛽	𝛽	NOUN
cana-3844	292	2	]	]	PUNCT
cana-3844	292	3	𝛽−1	𝛽−1	PROPN
cana-3844	292	4	𝛾−1	𝛾−1	PROPN
cana-3844	292	5	−	−	NOUN
cana-3844	292	6	1	1	NUM
cana-3844	292	7	;	;	PUNCT
cana-3844	292	8	𝛽	𝛽	PROPN
cana-3844	292	9	∈	∈	PROPN
cana-3844	292	10	(	(	PUNCT
cana-3844	292	11	1,2	1,2	NUM
cana-3844	292	12	]	]	PUNCT
cana-3844	292	13	,	,	PUNCT
cana-3844	292	14	𝛾	𝛾	ADP
cana-3844	292	15	≥	≥	NOUN
cana-3844	292	16	𝛽	𝛽	NOUN
cana-3844	292	17	,	,	PUNCT
cana-3844	292	18	(	(	PUNCT
cana-3844	292	19	singh	singh	PROPN
cana-3844	292	20	and	and	CCONJ
cana-3844	292	21	ganie[25	ganie[25	PROPN
cana-3844	292	22	]	]	PUNCT
cana-3844	292	23	)	)	PUNCT
cana-3844	292	24	.	.	PUNCT
cana-3844	293	1	(	(	PUNCT
cana-3844	293	2	29	29	NUM
cana-3844	293	3	)	)	PUNCT
cana-3844	293	4	𝑌𝐵(𝑄	𝑌𝐵(𝑄	NOUN
cana-3844	293	5	)	)	PUNCT
cana-3844	294	1	=	=	PRON
cana-3844	294	2	(	(	PUNCT
cana-3844	294	3	√8	√8	NOUN
cana-3844	294	4	3	3	NUM
cana-3844	294	5	−1	−1	NOUN
cana-3844	294	6	)	)	PUNCT
cana-3844	294	7	−1	−1	NOUN
cana-3844	295	1	𝑦	𝑦	NOUN
cana-3844	295	2	∑𝑦𝑖=1	∑𝑦𝑖=1	PROPN
cana-3844	296	1	[	[	X
cana-3844	296	2	√8	√8	X
cana-3844	296	3	(	(	PUNCT
cana-3844	296	4	(	(	PUNCT
cana-3844	296	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	296	6	)	)	PUNCT
cana-3844	296	7	)	)	PUNCT
cana-3844	296	8	4	4	NUM
cana-3844	296	9	+	+	CCONJ
cana-3844	296	10	(	(	PUNCT
cana-3844	296	11	1	1	NUM
cana-3844	296	12	−	−	NOUN
cana-3844	296	13	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	296	14	)	)	PUNCT
cana-3844	296	15	)	)	PUNCT
cana-3844	296	16	4	4	NUM
cana-3844	296	17	)	)	PUNCT
cana-3844	296	18	3	3	NUM
cana-3844	297	1	−	−	PROPN
cana-3844	297	2	1	1	NUM
cana-3844	297	3	]	]	PUNCT
cana-3844	297	4	;	;	PUNCT
cana-3844	297	5	(	(	PUNCT
cana-3844	297	6	proposed	propose	VERB
cana-3844	297	7	one	one	NUM
cana-3844	297	8	)	)	PUNCT
cana-3844	297	9	.	.	PUNCT
cana-3844	298	1	(	(	PUNCT
cana-3844	298	2	30	30	X
cana-3844	298	3	)	)	PUNCT
cana-3844	298	4	3.3.1	3.3.1	NUM
cana-3844	298	5	computation	computation	NOUN
cana-3844	298	6	of	of	ADP
cana-3844	298	7	uncertainty	uncertainty	NOUN
cana-3844	298	8	in	in	ADP
cana-3844	298	9	fuzzy	fuzzy	ADJ
cana-3844	298	10	sets	set	NOUN
cana-3844	298	11	there	there	PRON
cana-3844	298	12	is	be	VERB
cana-3844	298	13	a	a	DET
cana-3844	298	14	distinction	distinction	NOUN
cana-3844	298	15	in	in	ADP
cana-3844	298	16	the	the	DET
cana-3844	298	17	ambiguity	ambiguity	NOUN
cana-3844	298	18	around	around	ADP
cana-3844	298	19	the	the	DET
cana-3844	298	20	two	two	NUM
cana-3844	298	21	fs	f	NOUN
cana-3844	298	22	.	.	PUNCT
cana-3844	299	1	conversely	conversely	ADV
cana-3844	299	2	,	,	PUNCT
cana-3844	299	3	several	several	ADJ
cana-3844	299	4	fim	fim	NOUN
cana-3844	299	5	provide	provide	VERB
cana-3844	299	6	the	the	DET
cana-3844	299	7	same	same	ADJ
cana-3844	299	8	vagueness	vagueness	NOUN
cana-3844	299	9	values	value	NOUN
cana-3844	299	10	for	for	ADP
cana-3844	299	11	several	several	ADJ
cana-3844	299	12	fs	f	NOUN
cana-3844	299	13	.	.	PROPN
cana-3844	299	14	as	as	ADP
cana-3844	299	15	a	a	DET
cana-3844	299	16	result	result	NOUN
cana-3844	299	17	,	,	PUNCT
cana-3844	299	18	a	a	DET
cana-3844	299	19	new	new	ADJ
cana-3844	299	20	measure	measure	NOUN
cana-3844	299	21	that	that	PRON
cana-3844	299	22	builds	build	VERB
cana-3844	299	23	on	on	ADP
cana-3844	299	24	the	the	DET
cana-3844	299	25	ones	one	NOUN
cana-3844	299	26	that	that	PRON
cana-3844	299	27	have	have	AUX
cana-3844	299	28	previously	previously	ADV
cana-3844	299	29	been	be	AUX
cana-3844	299	30	developed	develop	VERB
cana-3844	299	31	must	must	AUX
cana-3844	299	32	be	be	AUX
cana-3844	299	33	adopted	adopt	VERB
cana-3844	299	34	.	.	PUNCT
cana-3844	300	1	the	the	DET
cana-3844	300	2	suggested	suggest	VERB
cana-3844	300	3	measure	measure	NOUN
cana-3844	300	4	’s	’s	PART
cana-3844	300	5	operation	operation	NOUN
cana-3844	300	6	is	be	AUX
cana-3844	300	7	demonstrated	demonstrate	VERB
cana-3844	300	8	in	in	ADP
cana-3844	300	9	the	the	DET
cana-3844	300	10	following	follow	VERB
cana-3844	300	11	example	example	NOUN
cana-3844	300	12	.	.	PUNCT
cana-3844	301	1	example	example	NOUN
cana-3844	301	2	1	1	NUM
cana-3844	301	3	𝑄𝑖	𝑄𝑖	PROPN
cana-3844	301	4	(	(	PUNCT
cana-3844	301	5	for	for	ADP
cana-3844	301	6	i=1,2,3,4	i=1,2,3,4	NOUN
cana-3844	301	7	)	)	PUNCT
cana-3844	301	8	pi={𝑝1	pi={𝑝1	PROPN
cana-3844	301	9	,	,	PUNCT
cana-3844	301	10	𝑝2	𝑝2	NOUN
cana-3844	301	11	,	,	PUNCT
cana-3844	301	12	𝑝3	𝑝3	ADV
cana-3844	301	13	,	,	PUNCT
cana-3844	301	14	𝑝4	𝑝4	NOUN
cana-3844	301	15	,	,	PUNCT
cana-3844	301	16	𝑝5	𝑝5	NOUN
cana-3844	301	17	}	}	PUNCT
cana-3844	301	18	given	give	VERB
cana-3844	301	19	as	as	ADP
cana-3844	301	20	communications	communication	NOUN
cana-3844	301	21	on	on	ADP
cana-3844	301	22	applied	apply	VERB
cana-3844	301	23	nonlinear	nonlinear	ADJ
cana-3844	301	24	analysis	analysis	NOUN
cana-3844	301	25	issn	issn	NOUN
cana-3844	301	26	:	:	PUNCT
cana-3844	301	27	1074	1074	NUM
cana-3844	301	28	-	-	PUNCT
cana-3844	301	29	133x	133x	NUM
cana-3844	301	30	vol	vol	NOUN
cana-3844	301	31	32	32	NUM
cana-3844	301	32	no	no	NOUN
cana-3844	301	33	.	.	PUNCT
cana-3844	302	1	9s	9s	NUM
cana-3844	302	2	(	(	PUNCT
cana-3844	302	3	2025	2025	NUM
cana-3844	302	4	)	)	PUNCT
cana-3844	302	5	145	145	NUM
cana-3844	302	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-3844	302	7	𝑄1	𝑄1	NOUN
cana-3844	302	8	=	=	SYM
cana-3844	302	9	{	{	PUNCT
cana-3844	302	10	(	(	PUNCT
cana-3844	302	11	𝑝1	𝑝1	NOUN
cana-3844	302	12	,	,	PUNCT
cana-3844	302	13	0.045	0.045	NUM
cana-3844	302	14	)	)	PUNCT
cana-3844	302	15	,	,	PUNCT
cana-3844	302	16	(	(	PUNCT
cana-3844	302	17	𝑝2	𝑝2	NOUN
cana-3844	302	18	,	,	PUNCT
cana-3844	302	19	0.132	0.132	NUM
cana-3844	302	20	)	)	PUNCT
cana-3844	302	21	,	,	PUNCT
cana-3844	302	22	(	(	PUNCT
cana-3844	302	23	𝑝3	𝑝3	ADV
cana-3844	302	24	,	,	PUNCT
cana-3844	302	25	0.6	0.6	NUM
cana-3844	302	26	)	)	PUNCT
cana-3844	302	27	,	,	PUNCT
cana-3844	302	28	(	(	PUNCT
cana-3844	302	29	𝑝4	𝑝4	NOUN
cana-3844	302	30	,	,	PUNCT
cana-3844	302	31	0.625	0.625	NUM
cana-3844	302	32	)	)	PUNCT
cana-3844	302	33	,	,	PUNCT
cana-3844	302	34	(	(	PUNCT
cana-3844	302	35	𝑝5	𝑝5	NOUN
cana-3844	302	36	,	,	PUNCT
cana-3844	302	37	0.643	0.643	NUM
cana-3844	302	38	)	)	PUNCT
cana-3844	302	39	}	}	PUNCT
cana-3844	302	40	;	;	PUNCT
cana-3844	302	41	𝑄2	𝑄2	PROPN
cana-3844	302	42	=	=	PRON
cana-3844	302	43	{	{	PUNCT
cana-3844	302	44	(	(	PUNCT
cana-3844	302	45	𝑝1	𝑝1	NOUN
cana-3844	302	46	,	,	PUNCT
cana-3844	302	47	0.560	0.560	NUM
cana-3844	302	48	)	)	PUNCT
cana-3844	302	49	,	,	PUNCT
cana-3844	302	50	(	(	PUNCT
cana-3844	302	51	𝑝2	𝑝2	NOUN
cana-3844	302	52	,	,	PUNCT
cana-3844	302	53	0.568	0.568	NUM
cana-3844	302	54	)	)	PUNCT
cana-3844	302	55	,	,	PUNCT
cana-3844	302	56	(	(	PUNCT
cana-3844	302	57	𝑝3	𝑝3	ADV
cana-3844	302	58	,	,	PUNCT
cana-3844	302	59	0.047	0.047	NUM
cana-3844	302	60	)	)	PUNCT
cana-3844	302	61	,	,	PUNCT
cana-3844	302	62	(	(	PUNCT
cana-3844	302	63	𝑝4	𝑝4	NOUN
cana-3844	302	64	,	,	PUNCT
cana-3844	302	65	0.541	0.541	NUM
cana-3844	302	66	)	)	PUNCT
cana-3844	302	67	,	,	PUNCT
cana-3844	302	68	(	(	PUNCT
cana-3844	302	69	𝑝5	𝑝5	NOUN
cana-3844	302	70	,	,	PUNCT
cana-3844	302	71	0.343	0.343	NUM
cana-3844	302	72	)	)	PUNCT
cana-3844	302	73	}	}	PUNCT
cana-3844	302	74	;	;	PUNCT
cana-3844	302	75	𝑄3	𝑄3	X
cana-3844	302	76	=	=	SYM
cana-3844	302	77	{	{	PUNCT
cana-3844	302	78	(	(	PUNCT
cana-3844	302	79	𝑝1	𝑝1	NOUN
cana-3844	302	80	,	,	PUNCT
cana-3844	302	81	0.641	0.641	NUM
cana-3844	302	82	)	)	PUNCT
cana-3844	302	83	,	,	PUNCT
cana-3844	302	84	(	(	PUNCT
cana-3844	302	85	𝑝2	𝑝2	NOUN
cana-3844	302	86	,	,	PUNCT
cana-3844	302	87	0.418	0.418	NUM
cana-3844	302	88	)	)	PUNCT
cana-3844	302	89	,	,	PUNCT
cana-3844	302	90	(	(	PUNCT
cana-3844	302	91	𝑝3	𝑝3	ADV
cana-3844	302	92	,	,	PUNCT
cana-3844	302	93	0.608	0.608	NUM
cana-3844	302	94	)	)	PUNCT
cana-3844	302	95	,	,	PUNCT
cana-3844	302	96	(	(	PUNCT
cana-3844	302	97	𝑝4	𝑝4	NOUN
cana-3844	302	98	,	,	PUNCT
cana-3844	302	99	0.05	0.05	NUM
cana-3844	302	100	)	)	PUNCT
cana-3844	302	101	,	,	PUNCT
cana-3844	302	102	(	(	PUNCT
cana-3844	302	103	𝑝5	𝑝5	NOUN
cana-3844	302	104	,	,	PUNCT
cana-3844	302	105	0.634	0.634	NUM
cana-3844	302	106	)	)	PUNCT
cana-3844	302	107	}	}	PUNCT
cana-3844	302	108	;	;	PUNCT
cana-3844	302	109	𝑄4	𝑄4	X
cana-3844	302	110	=	=	SYM
cana-3844	302	111	{	{	PUNCT
cana-3844	302	112	(	(	PUNCT
cana-3844	302	113	𝑝1	𝑝1	NOUN
cana-3844	302	114	,	,	PUNCT
cana-3844	302	115	0.047	0.047	NUM
cana-3844	302	116	)	)	PUNCT
cana-3844	302	117	,	,	PUNCT
cana-3844	302	118	(	(	PUNCT
cana-3844	302	119	𝑝2	𝑝2	NOUN
cana-3844	302	120	,	,	PUNCT
cana-3844	302	121	0.679	0.679	NUM
cana-3844	302	122	)	)	PUNCT
cana-3844	302	123	,	,	PUNCT
cana-3844	302	124	(	(	PUNCT
cana-3844	302	125	𝑝3	𝑝3	ADV
cana-3844	302	126	,	,	PUNCT
cana-3844	302	127	0.315	0.315	NUM
cana-3844	302	128	)	)	PUNCT
cana-3844	302	129	,	,	PUNCT
cana-3844	302	130	(	(	PUNCT
cana-3844	302	131	𝑝4	𝑝4	NOUN
cana-3844	302	132	,	,	PUNCT
cana-3844	302	133	0.547	0.547	NUM
cana-3844	302	134	)	)	PUNCT
cana-3844	302	135	,	,	PUNCT
cana-3844	302	136	(	(	PUNCT
cana-3844	302	137	𝑝5	𝑝5	NOUN
cana-3844	302	138	,	,	PUNCT
cana-3844	302	139	0.793	0.793	NUM
cana-3844	302	140	)	)	PUNCT
cana-3844	302	141	}	}	PUNCT
cana-3844	302	142	.	.	PUNCT
cana-3844	303	1	at	at	ADP
cana-3844	303	2	the	the	DET
cana-3844	303	3	moment	moment	NOUN
cana-3844	303	4	,	,	PUNCT
cana-3844	303	5	we	we	PRON
cana-3844	303	6	establish	establish	VERB
cana-3844	303	7	the	the	DET
cana-3844	303	8	uncertain	uncertain	ADJ
cana-3844	303	9	matter	matter	NOUN
cana-3844	303	10	of	of	ADP
cana-3844	303	11	these	these	DET
cana-3844	303	12	fss	fss	ADV
cana-3844	303	13	utilizing	utilize	VERB
cana-3844	303	14	the	the	DET
cana-3844	303	15	already	already	ADV
cana-3844	303	16	determined	determine	VERB
cana-3844	303	17	metrics	metric	NOUN
cana-3844	303	18	as	as	ADV
cana-3844	303	19	well	well	ADV
cana-3844	303	20	as	as	ADP
cana-3844	303	21	the	the	DET
cana-3844	303	22	suggested	suggested	ADJ
cana-3844	303	23	km	km	PROPN
cana-3844	303	24	.	.	PUNCT
cana-3844	304	1	the	the	DET
cana-3844	304	2	estimated	estimate	VERB
cana-3844	304	3	findings	finding	NOUN
cana-3844	304	4	are	be	AUX
cana-3844	304	5	presented	present	VERB
cana-3844	304	6	in	in	ADP
cana-3844	304	7	table	table	NOUN
cana-3844	304	8	1	1	NUM
cana-3844	304	9	.	.	PUNCT
cana-3844	305	1	it	it	PRON
cana-3844	305	2	shows	show	VERB
cana-3844	305	3	that	that	SCONJ
cana-3844	305	4	the	the	DET
cana-3844	305	5	ambiguity	ambiguity	NOUN
cana-3844	305	6	content	content	NOUN
cana-3844	305	7	for	for	ADP
cana-3844	305	8	different	different	ADJ
cana-3844	305	9	fss	fss	NOUN
cana-3844	305	10	is	be	AUX
cana-3844	305	11	average	average	ADJ
cana-3844	305	12	according	accord	VERB
cana-3844	305	13	to	to	ADP
cana-3844	305	14	some	some	DET
cana-3844	305	15	metrics	metric	NOUN
cana-3844	305	16	.	.	PUNCT
cana-3844	306	1	the	the	DET
cana-3844	306	2	suggested	suggest	VERB
cana-3844	306	3	km	km	PROPN
cana-3844	306	4	,	,	PUNCT
cana-3844	306	5	however	however	ADV
cana-3844	306	6	,	,	PUNCT
cana-3844	306	7	can	can	AUX
cana-3844	306	8	distinguish	distinguish	VERB
cana-3844	306	9	between	between	ADP
cana-3844	306	10	these	these	DET
cana-3844	306	11	fs	f	NOUN
cana-3844	306	12	with	with	ADP
cana-3844	306	13	ease	ease	NOUN
cana-3844	306	14	.	.	PUNCT
cana-3844	307	1	thus	thus	ADV
cana-3844	307	2	,	,	PUNCT
cana-3844	307	3	a	a	DET
cana-3844	307	4	fresh	fresh	ADJ
cana-3844	307	5	approach	approach	NOUN
cana-3844	307	6	is	be	AUX
cana-3844	307	7	always	always	ADV
cana-3844	307	8	needed	need	VERB
cana-3844	307	9	.	.	PUNCT
cana-3844	308	1	3.3.2	3.3.2	NUM
cana-3844	308	2	evaluating	evaluate	VERB
cana-3844	308	3	weights	weight	NOUN
cana-3844	308	4	of	of	ADP
cana-3844	308	5	attribute	attribute	NOUN
cana-3844	308	6	the	the	DET
cana-3844	308	7	weights	weight	NOUN
cana-3844	308	8	of	of	ADP
cana-3844	308	9	attribute	attribute	NOUN
cana-3844	308	10	are	be	AUX
cana-3844	308	11	crucial	crucial	ADJ
cana-3844	308	12	in	in	ADP
cana-3844	308	13	an	an	DET
cana-3844	308	14	mcdm	mcdm	ADJ
cana-3844	308	15	scenario	scenario	NOUN
cana-3844	308	16	.	.	PUNCT
cana-3844	309	1	now	now	ADV
cana-3844	309	2	,	,	PUNCT
cana-3844	309	3	we	we	PRON
cana-3844	309	4	calculate	calculate	VERB
cana-3844	309	5	weights	weight	NOUN
cana-3844	309	6	of	of	ADP
cana-3844	309	7	attribute	attribute	NOUN
cana-3844	309	8	by	by	ADP
cana-3844	309	9	utilizing	utilize	VERB
cana-3844	309	10	these	these	DET
cana-3844	309	11	two	two	NUM
cana-3844	309	12	suggested	suggest	VERB
cana-3844	309	13	measure	measure	NOUN
cana-3844	309	14	and	and	CCONJ
cana-3844	309	15	the	the	DET
cana-3844	309	16	previously	previously	ADV
cana-3844	309	17	existing	exist	VERB
cana-3844	309	18	measurements	measurement	NOUN
cana-3844	309	19	.	.	PUNCT
cana-3844	310	1	think	think	VERB
cana-3844	310	2	about	about	ADP
cana-3844	310	3	an	an	DET
cana-3844	310	4	example	example	NOUN
cana-3844	310	5	for	for	ADP
cana-3844	310	6	this	this	PRON
cana-3844	310	7	.	.	PUNCT
cana-3844	311	1	table	table	NOUN
cana-3844	311	2	1	1	NUM
cana-3844	311	3	:	:	PUNCT
cana-3844	311	4	calculated	calculate	VERB
cana-3844	311	5	values	value	NOUN
cana-3844	311	6	for	for	ADP
cana-3844	311	7	a	a	DET
cana-3844	311	8	range	range	NOUN
cana-3844	311	9	of	of	ADP
cana-3844	311	10	metrics	metric	NOUN
cana-3844	311	11	corresponding	correspond	VERB
cana-3844	311	12	to	to	ADP
cana-3844	311	13	different	different	ADJ
cana-3844	311	14	fuzzy	fuzzy	ADJ
cana-3844	311	15	sets	set	NOUN
cana-3844	311	16	that	that	PRON
cana-3844	311	17	were	be	AUX
cana-3844	311	18	provided	provide	VERB
cana-3844	311	19	in	in	ADP
cana-3844	311	20	example	example	NOUN
cana-3844	311	21	1	1	NUM
cana-3844	311	22	.	.	PUNCT
cana-3844	311	23	measures	measure	NOUN
cana-3844	311	24	↓	↓	PROPN
cana-3844	311	25	←	←	PROPN
cana-3844	311	26	fuzzy	fuzzy	ADJ
cana-3844	311	27	sets	set	NOUN
cana-3844	311	28	→	→	SYM
cana-3844	311	29	𝑄1	𝑄1	PROPN
cana-3844	311	30	𝑄2	𝑄2	PROPN
cana-3844	311	31	𝑄3	𝑄3	PROPN
cana-3844	312	1	𝑄4	𝑄4	PROPN
cana-3844	312	2	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	312	3	1𝑌(𝑄	1𝑌(𝑄	PROPN
cana-3844	312	4	)	)	PUNCT
cana-3844	312	5	0.523	0.523	NUM
cana-3844	312	6	0.688	0.688	NUM
cana-3844	312	7	0.634	0.634	NUM
cana-3844	312	8	0.537	0.537	NUM
cana-3844	312	9	𝑅𝐾	𝑅𝐾	PROPN
cana-3844	312	10	1𝑌(𝑄	1𝑌(𝑄	NUM
cana-3844	312	11	)	)	PUNCT
cana-3844	312	12	0.354	0.354	NUM
cana-3844	312	13	0.524	0.524	NUM
cana-3844	312	14	0.464	0.464	NUM
cana-3844	312	15	0.367	0.367	NUM
cana-3844	312	16	𝑅𝑃𝑉(𝑄	𝑅𝑃𝑉(𝑄	NOUN
cana-3844	312	17	)	)	PUNCT
cana-3844	312	18	1.450	1.450	NUM
cana-3844	312	19	1.525	1.525	NUM
cana-3844	312	20	1.516	1.516	NUM
cana-3844	312	21	1.465	1.465	NUM
cana-3844	312	22	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	312	23	𝛽	𝛽	PROPN
cana-3844	312	24	(	(	PUNCT
cana-3844	312	25	𝑄	𝑄	PROPN
cana-3844	312	26	)	)	PUNCT
cana-3844	312	27	0.266	0.266	NUM
cana-3844	312	28	0.138	0.138	NUM
cana-3844	312	29	0.154	0.154	NUM
cana-3844	312	30	0.241	0.241	NUM
cana-3844	312	31	𝑌𝑂𝑌(𝑄	𝑌𝑂𝑌(𝑄	NUM
cana-3844	312	32	)	)	PUNCT
cana-3844	312	33	0.390	0.390	NUM
cana-3844	312	34	0.253	0.253	NUM
cana-3844	312	35	0.271	0.271	NUM
cana-3844	312	36	0.364	0.364	NUM
cana-3844	312	37	𝑌𝑃	𝑌𝑃	ADP
cana-3844	312	38	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	312	39	(	(	PUNCT
cana-3844	312	40	𝑄	𝑄	PROPN
cana-3844	312	41	)	)	PUNCT
cana-3844	312	42	0.542	0.542	NUM
cana-3844	312	43	0.453	0.453	NUM
cana-3844	312	44	0.466	0.466	NUM
cana-3844	312	45	0.527	0.527	NUM
cana-3844	312	46	𝑌𝐵(𝑄	𝑌𝐵(𝑄	NOUN
cana-3844	312	47	)	)	PUNCT
cana-3844	312	48	0.373	0.373	NUM
cana-3844	312	49	0.224	0.224	NUM
cana-3844	312	50	0.254	0.254	NUM
cana-3844	312	51	0.360	0.360	NUM
cana-3844	312	52	we	we	PRON
cana-3844	312	53	take	take	VERB
cana-3844	312	54	𝛽=2.1	𝛽=2.1	NOUN
cana-3844	312	55	for	for	ADP
cana-3844	312	56	𝑌𝑆𝑃	𝑌𝑆𝑃	NOUN
cana-3844	312	57	𝛽(q	𝛽(q	NOUN
cana-3844	312	58	)	)	PUNCT
cana-3844	312	59	,	,	PUNCT
cana-3844	312	60	and	and	CCONJ
cana-3844	312	61	𝛽=2.1	𝛽=2.1	NOUN
cana-3844	312	62	,	,	PUNCT
cana-3844	312	63	𝛾=3	𝛾=3	NOUN
cana-3844	312	64	for	for	ADP
cana-3844	312	65	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	312	66	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	312	67	(	(	PUNCT
cana-3844	312	68	q	q	NOUN
cana-3844	312	69	)	)	PUNCT
cana-3844	312	70	.	.	PUNCT
cana-3844	313	1	example	example	NOUN
cana-3844	313	2	2	2	NUM
cana-3844	313	3	in	in	ADP
cana-3844	313	4	a	a	DET
cana-3844	313	5	fuzzy	fuzzy	ADJ
cana-3844	313	6	environment	environment	NOUN
cana-3844	313	7	,	,	PUNCT
cana-3844	313	8	take	take	VERB
cana-3844	313	9	a	a	DET
cana-3844	313	10	decision	decision	NOUN
cana-3844	313	11	matrix	matrix	NOUN
cana-3844	313	12	m	m	NOUN
cana-3844	313	13	that	that	PRON
cana-3844	313	14	has	have	VERB
cana-3844	313	15	a	a	DET
cana-3844	313	16	collection	collection	NOUN
cana-3844	313	17	of	of	ADP
cana-3844	313	18	attributes	attribute	NOUN
cana-3844	313	19	{	{	PUNCT
cana-3844	313	20	𝐴1	𝐴1	PROPN
cana-3844	313	21	,	,	PUNCT
cana-3844	313	22	𝐴2	𝐴2	PROPN
cana-3844	313	23	,	,	PUNCT
cana-3844	313	24	𝐴3	𝐴3	PROPN
cana-3844	313	25	,	,	PUNCT
cana-3844	313	26	𝐴4	𝐴4	PROPN
cana-3844	313	27	}	}	PUNCT
cana-3844	313	28	and	and	CCONJ
cana-3844	313	29	a	a	DET
cana-3844	313	30	set	set	NOUN
cana-3844	313	31	of	of	ADP
cana-3844	313	32	alternatives	alternative	NOUN
cana-3844	313	33	{	{	PUNCT
cana-3844	313	34	𝐶1	𝐶1	PROPN
cana-3844	313	35	,	,	PUNCT
cana-3844	313	36	𝐶2	𝐶2	ADJ
cana-3844	313	37	,	,	PUNCT
cana-3844	313	38	𝐶3	𝐶3	PROPN
cana-3844	313	39	,	,	PUNCT
cana-3844	313	40	𝐶4	𝐶4	NOUN
cana-3844	313	41	,	,	PUNCT
cana-3844	313	42	𝐶5	𝐶5	NOUN
cana-3844	313	43	}	}	PUNCT
cana-3844	313	44	.	.	PUNCT
cana-3844	314	1	𝑀	𝑀	PROPN
cana-3844	314	2	=	=	PUNCT
cana-3844	315	1	[	[	PUNCT
cana-3844	315	2	0.541	0.541	NUM
cana-3844	315	3	0.582	0.582	NUM
cana-3844	315	4	0.037	0.037	NUM
cana-3844	315	5	0.066	0.066	NUM
cana-3844	315	6	0.482	0.482	NUM
cana-3844	315	7	0.658	0.658	NUM
cana-3844	315	8	0.579	0.579	NUM
cana-3844	315	9	0.142	0.142	NUM
cana-3844	315	10	0.708	0.708	NUM
cana-3844	315	11	0.037	0.037	NUM
cana-3844	315	12	0.415	0.415	NUM
cana-3844	315	13	0.500	0.500	NUM
cana-3844	315	14	0.040	0.040	NUM
cana-3844	315	15	0.591	0.591	NUM
cana-3844	315	16	0.647	0.647	NUM
cana-3844	315	17	0.525	0.525	NUM
cana-3844	315	18	0.534	0.534	NUM
cana-3844	315	19	0.434	0.434	NUM
cana-3844	315	20	0.593	0.593	NUM
cana-3844	315	21	0.543	0.543	NUM
cana-3844	315	22	]	]	PUNCT
cana-3844	315	23	the	the	DET
cana-3844	315	24	attribute	attribute	NOUN
cana-3844	315	25	weights	weight	NOUN
cana-3844	315	26	shown	show	VERB
cana-3844	315	27	below	below	ADV
cana-3844	315	28	can	can	AUX
cana-3844	315	29	be	be	AUX
cana-3844	315	30	computed	compute	VERB
cana-3844	315	31	in	in	ADP
cana-3844	315	32	two	two	NUM
cana-3844	315	33	ways	way	NOUN
cana-3844	315	34	:	:	PUNCT
cana-3844	315	35	•	•	NUM
cana-3844	315	36	entropy	entropy	NOUN
cana-3844	315	37	-	-	PUNCT
cana-3844	315	38	based	base	VERB
cana-3844	315	39	approach	approach	NOUN
cana-3844	315	40	:	:	PUNCT
cana-3844	315	41	we	we	PRON
cana-3844	315	42	can	can	AUX
cana-3844	315	43	ascertain	ascertain	VERB
cana-3844	315	44	the	the	DET
cana-3844	315	45	weights	weight	NOUN
cana-3844	315	46	given	give	VERB
cana-3844	315	47	to	to	ADP
cana-3844	315	48	different	different	ADJ
cana-3844	315	49	traits	trait	NOUN
cana-3844	315	50	by	by	ADP
cana-3844	315	51	using	use	VERB
cana-3844	315	52	the	the	DET
cana-3844	315	53	formula	formula	NOUN
cana-3844	315	54	.	.	PUNCT
cana-3844	316	1	communications	communication	NOUN
cana-3844	316	2	on	on	ADP
cana-3844	316	3	applied	apply	VERB
cana-3844	316	4	nonlinear	nonlinear	ADJ
cana-3844	316	5	analysis	analysis	NOUN
cana-3844	316	6	issn	issn	NOUN
cana-3844	316	7	:	:	PUNCT
cana-3844	316	8	1074	1074	NUM
cana-3844	316	9	-	-	PUNCT
cana-3844	316	10	133x	133x	NUM
cana-3844	316	11	vol	vol	NOUN
cana-3844	316	12	32	32	NUM
cana-3844	316	13	no	no	NOUN
cana-3844	316	14	.	.	PUNCT
cana-3844	317	1	9s	9s	NUM
cana-3844	317	2	(	(	PUNCT
cana-3844	317	3	2025	2025	NUM
cana-3844	317	4	)	)	PUNCT
cana-3844	317	5	146	146	NUM
cana-3844	317	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	317	7	𝑤𝑒	𝑤𝑒	NOUN
cana-3844	317	8	=	=	PUNCT
cana-3844	317	9	𝐹(𝐴𝑒	𝐹(𝐴𝑒	NUM
cana-3844	317	10	)	)	PUNCT
cana-3844	317	11	−	−	PROPN
cana-3844	318	1	1	1	NUM
cana-3844	318	2	∑𝑛𝑒=1	∑𝑛𝑒=1	PROPN
cana-3844	318	3	𝐹(𝐴𝑒	𝐹(𝐴𝑒	NUM
cana-3844	318	4	)	)	PUNCT
cana-3844	319	1	−	−	PROPN
cana-3844	319	2	𝑛	𝑛	PROPN
cana-3844	319	3	,	,	PUNCT
cana-3844	319	4	𝑒	𝑒	PROPN
cana-3844	319	5	=	=	SYM
cana-3844	319	6	1,2,3	1,2,3	NUM
cana-3844	319	7	,	,	PUNCT
cana-3844	319	8	…	…	PUNCT
cana-3844	319	9	,	,	PUNCT
cana-3844	319	10	𝑛	𝑛	NOUN
cana-3844	319	11	;	;	PUNCT
cana-3844	319	12	here	here	ADV
cana-3844	319	13	f	f	PROPN
cana-3844	319	14	shows	show	VERB
cana-3844	319	15	fim	fim	PROPN
cana-3844	319	16	.	.	PROPN
cana-3844	319	17	•	•	NUM
cana-3844	319	18	knowledge	knowledge	NOUN
cana-3844	319	19	-	-	PUNCT
cana-3844	319	20	based	base	VERB
cana-3844	319	21	approach	approach	NOUN
cana-3844	319	22	we	we	PRON
cana-3844	319	23	identify	identify	VERB
cana-3844	319	24	the	the	DET
cana-3844	319	25	weights	weight	NOUN
cana-3844	319	26	that	that	PRON
cana-3844	319	27	correspond	correspond	VERB
cana-3844	319	28	to	to	ADP
cana-3844	319	29	different	different	ADJ
cana-3844	319	30	attributes	attribute	NOUN
cana-3844	319	31	by	by	ADP
cana-3844	319	32	applying	apply	VERB
cana-3844	319	33	formulas	formula	NOUN
cana-3844	319	34	.	.	PUNCT
cana-3844	320	1	𝑤𝑒	𝑤𝑒	PROPN
cana-3844	320	2	=	=	PUNCT
cana-3844	320	3	𝑌(𝐴𝑒	𝑌(𝐴𝑒	NUM
cana-3844	320	4	)	)	PUNCT
cana-3844	321	1	∑𝑛𝑒=1	∑𝑛𝑒=1	PROPN
cana-3844	321	2	𝑌(𝐴𝑒	𝑌(𝐴𝑒	NUM
cana-3844	321	3	)	)	PUNCT
cana-3844	321	4	,	,	PUNCT
cana-3844	321	5	𝑒	𝑒	PROPN
cana-3844	321	6	=	=	SYM
cana-3844	321	7	1,2,3	1,2,3	NUM
cana-3844	321	8	,	,	PUNCT
cana-3844	321	9	…	…	PUNCT
cana-3844	321	10	,	,	PUNCT
cana-3844	321	11	𝑛	𝑛	NOUN
cana-3844	321	12	;	;	PUNCT
cana-3844	321	13	here	here	ADV
cana-3844	321	14	y	y	PROPN
cana-3844	321	15	shows	show	VERB
cana-3844	321	16	fkm	fkm	PROPN
cana-3844	321	17	.	.	PUNCT
cana-3844	322	1	these	these	DET
cana-3844	322	2	two	two	NUM
cana-3844	322	3	methods	method	NOUN
cana-3844	322	4	are	be	AUX
cana-3844	322	5	used	use	VERB
cana-3844	322	6	to	to	PART
cana-3844	322	7	construct	construct	VERB
cana-3844	322	8	the	the	DET
cana-3844	322	9	attribute	attribute	NOUN
cana-3844	322	10	weights	weight	NOUN
cana-3844	322	11	in	in	ADP
cana-3844	322	12	table	table	NOUN
cana-3844	322	13	1	1	NUM
cana-3844	322	14	.	.	PUNCT
cana-3844	322	15	table	table	NOUN
cana-3844	322	16	2	2	NUM
cana-3844	322	17	:	:	PUNCT
cana-3844	322	18	the	the	DET
cana-3844	322	19	weights	weight	NOUN
cana-3844	322	20	of	of	ADP
cana-3844	322	21	the	the	DET
cana-3844	322	22	qualities	quality	NOUN
cana-3844	322	23	that	that	PRON
cana-3844	322	24	correspond	correspond	VERB
cana-3844	322	25	to	to	PART
cana-3844	322	26	example	example	VERB
cana-3844	322	27	2	2	NUM
cana-3844	322	28	measures	measure	NOUN
cana-3844	322	29	↓	↓	PROPN
cana-3844	322	30	←	←	PROPN
cana-3844	322	31	weights	weight	NOUN
cana-3844	322	32	of	of	ADP
cana-3844	322	33	criteria	criterion	NOUN
cana-3844	322	34	→	→	SYM
cana-3844	322	35	𝑤1	𝑤1	VERB
cana-3844	322	36	𝑤2	𝑤2	NOUN
cana-3844	322	37	𝑤3	𝑤3	NOUN
cana-3844	322	38	𝑤4	𝑤4	NOUN
cana-3844	322	39	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	322	40	1𝑌(𝑄	1𝑌(𝑄	PROPN
cana-3844	322	41	)	)	PUNCT
cana-3844	323	1	0.2614	0.2614	NUM
cana-3844	324	1	0.2465	0.2465	NUM
cana-3844	324	2	0.2455	0.2455	NUM
cana-3844	324	3	0.2465	0.2465	NUM
cana-3844	324	4	𝑅𝐾	𝑅𝐾	PROPN
cana-3844	324	5	1𝑌(𝑄	1𝑌(𝑄	NUM
cana-3844	324	6	)	)	PUNCT
cana-3844	324	7	0.2674	0.2674	NUM
cana-3844	325	1	0.2447	0.2447	NUM
cana-3844	325	2	0.2432	0.2432	NUM
cana-3844	325	3	0.2447	0.2447	NUM
cana-3844	325	4	𝑅𝑃𝑉(𝑄	𝑅𝑃𝑉(𝑄	NOUN
cana-3844	325	5	)	)	PUNCT
cana-3844	325	6	0.2513	0.2513	NUM
cana-3844	325	7	0.2512	0.2512	NUM
cana-3844	325	8	0.2513	0.2513	NUM
cana-3844	325	9	0.2462	0.2462	NUM
cana-3844	325	10	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	325	11	𝛽	𝛽	PROPN
cana-3844	325	12	(	(	PUNCT
cana-3844	325	13	𝑄	𝑄	PROPN
cana-3844	325	14	)	)	PUNCT
cana-3844	325	15	0.2302	0.2302	NUM
cana-3844	325	16	0.2310	0.2310	NUM
cana-3844	325	17	0.2302	0.2302	NUM
cana-3844	326	1	0.3086	0.3086	NUM
cana-3844	326	2	𝑌𝑂𝑌(𝑄	𝑌𝑂𝑌(𝑄	NOUN
cana-3844	326	3	)	)	PUNCT
cana-3844	326	4	0.2373	0.2373	NUM
cana-3844	327	1	0.2373	0.2373	NUM
cana-3844	327	2	0.2374	0.2374	NUM
cana-3844	327	3	0.2874	0.2874	NUM
cana-3844	327	4	𝑌𝑃	𝑌𝑃	ADP
cana-3844	327	5	𝛽,𝛾	𝛽,𝛾	ADJ
cana-3844	327	6	(	(	PUNCT
cana-3844	327	7	𝑄	𝑄	PROPN
cana-3844	327	8	)	)	PUNCT
cana-3844	327	9	0.2465	0.2465	NUM
cana-3844	327	10	0.2467	0.2467	NUM
cana-3844	327	11	0.2465	0.2465	NUM
cana-3844	327	12	0.2602	0.2602	NUM
cana-3844	327	13	𝑌𝐵(𝑄	𝑌𝐵(𝑄	NOUN
cana-3844	327	14	)	)	PUNCT
cana-3844	327	15	0.2334	0.2334	NUM
cana-3844	327	16	0.2389	0.2389	NUM
cana-3844	327	17	0.2374	0.2374	NUM
cana-3844	327	18	0.2888	0.2888	NUM
cana-3844	327	19	we	we	PRON
cana-3844	327	20	take	take	VERB
cana-3844	327	21	𝛽=1.9	𝛽=1.9	ADJ
cana-3844	327	22	for	for	ADP
cana-3844	327	23	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	327	24	𝛽	𝛽	PROPN
cana-3844	327	25	(	(	PUNCT
cana-3844	327	26	q	q	NOUN
cana-3844	327	27	)	)	PUNCT
cana-3844	327	28	,	,	PUNCT
cana-3844	327	29	and	and	CCONJ
cana-3844	327	30	𝛽=1.9	𝛽=1.9	ADV
cana-3844	327	31	,	,	PUNCT
cana-3844	327	32	𝛾=2.1	𝛾=2.1	NOUN
cana-3844	327	33	for	for	ADP
cana-3844	327	34	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	327	35	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	327	36	(	(	PUNCT
cana-3844	327	37	q	q	NOUN
cana-3844	327	38	)	)	PUNCT
cana-3844	327	39	.	.	PUNCT
cana-3844	328	1	it	it	PRON
cana-3844	328	2	can	can	AUX
cana-3844	328	3	be	be	AUX
cana-3844	328	4	shown	show	VERB
cana-3844	328	5	from	from	ADP
cana-3844	328	6	table	table	NOUN
cana-3844	328	7	1	1	NUM
cana-3844	328	8	that	that	SCONJ
cana-3844	328	9	there	there	PRON
cana-3844	328	10	is	be	VERB
cana-3844	328	11	inconsistency	inconsistency	NOUN
cana-3844	328	12	in	in	ADP
cana-3844	328	13	the	the	DET
cana-3844	328	14	weights	weight	NOUN
cana-3844	328	15	of	of	ADP
cana-3844	328	16	the	the	DET
cana-3844	328	17	attributes	attribute	NOUN
cana-3844	328	18	determined	determine	VERB
cana-3844	328	19	with	with	ADP
cana-3844	328	20	a	a	DET
cana-3844	328	21	few	few	ADJ
cana-3844	328	22	of	of	ADP
cana-3844	328	23	the	the	DET
cana-3844	328	24	existing	exist	VERB
cana-3844	328	25	fkms	fkms	NOUN
cana-3844	328	26	and	and	CCONJ
cana-3844	328	27	fims	fim	NOUN
cana-3844	328	28	.	.	PUNCT
cana-3844	329	1	there	there	PRON
cana-3844	329	2	are	be	VERB
cana-3844	329	3	instances	instance	NOUN
cana-3844	329	4	where	where	SCONJ
cana-3844	329	5	the	the	DET
cana-3844	329	6	weights	weight	NOUN
cana-3844	329	7	assigned	assign	VERB
cana-3844	329	8	to	to	ADP
cana-3844	329	9	multiple	multiple	ADJ
cana-3844	329	10	properties	property	NOUN
cana-3844	329	11	coincide	coincide	ADJ
cana-3844	329	12	.	.	PUNCT
cana-3844	330	1	by	by	ADP
cana-3844	330	2	the	the	DET
cana-3844	330	3	way	way	NOUN
cana-3844	330	4	,	,	PUNCT
cana-3844	330	5	the	the	DET
cana-3844	330	6	weights	weight	NOUN
cana-3844	330	7	that	that	PRON
cana-3844	330	8	the	the	DET
cana-3844	330	9	suggested	suggest	VERB
cana-3844	330	10	km	km	NOUN
cana-3844	330	11	assigns	assign	NOUN
cana-3844	330	12	to	to	ADP
cana-3844	330	13	these	these	DET
cana-3844	330	14	traits	trait	NOUN
cana-3844	330	15	vary	vary	VERB
cana-3844	330	16	.	.	PUNCT
cana-3844	331	1	thus	thus	ADV
cana-3844	331	2	,	,	PUNCT
cana-3844	331	3	it	it	PRON
cana-3844	331	4	is	be	AUX
cana-3844	331	5	necessary	necessary	ADJ
cana-3844	331	6	to	to	PART
cana-3844	331	7	implement	implement	VERB
cana-3844	331	8	a	a	DET
cana-3844	331	9	measure	measure	NOUN
cana-3844	331	10	.	.	PUNCT
cana-3844	332	1	3.3.3	3.3.3	NUM
cana-3844	332	2	structured	structured	ADJ
cana-3844	332	3	linguistic	linguistic	ADJ
cana-3844	332	4	comparison	comparison	NOUN
cana-3844	332	5	tahani	tahani	NOUN
cana-3844	332	6	[	[	X
cana-3844	332	7	26	26	NUM
cana-3844	332	8	]	]	PUNCT
cana-3844	332	9	initially	initially	ADV
cana-3844	332	10	created	create	VERB
cana-3844	332	11	an	an	DET
cana-3844	332	12	arrangement	arrangement	NOUN
cana-3844	332	13	for	for	ADP
cana-3844	332	14	processing	process	VERB
cana-3844	332	15	fuzzy	fuzzy	ADJ
cana-3844	332	16	queries	query	NOUN
cana-3844	332	17	using	use	VERB
cana-3844	332	18	fuzzy	fuzzy	ADJ
cana-3844	332	19	sets	set	NOUN
cana-3844	332	20	.	.	PUNCT
cana-3844	333	1	fuzzy	fuzzy	ADJ
cana-3844	333	2	linguistic	linguistic	ADJ
cana-3844	333	3	quantitative	quantitative	ADJ
cana-3844	333	4	terms	term	NOUN
cana-3844	333	5	for	for	ADP
cana-3844	333	6	database	database	NOUN
cana-3844	333	7	queries	query	NOUN
cana-3844	333	8	are	be	AUX
cana-3844	333	9	next	next	ADJ
cana-3844	333	10	that	that	PRON
cana-3844	333	11	were	be	AUX
cana-3844	333	12	proposed	propose	VERB
cana-3844	333	13	by	by	ADP
cana-3844	333	14	kacprzyk	kacprzyk	NOUN
cana-3844	333	15	and	and	CCONJ
cana-3844	333	16	ziolkowski	ziolkowski	ADJ
cana-3844	334	1	[	[	X
cana-3844	334	2	27	27	NUM
cana-3844	334	3	]	]	PUNCT
cana-3844	334	4	.	.	PUNCT
cana-3844	335	1	petry	petry	PROPN
cana-3844	335	2	’s	’s	PART
cana-3844	335	3	book	book	NOUN
cana-3844	335	4	[	[	X
cana-3844	335	5	28	28	NUM
cana-3844	335	6	]	]	PUNCT
cana-3844	335	7	finally	finally	ADV
cana-3844	335	8	had	have	VERB
cana-3844	335	9	a	a	DET
cana-3844	335	10	fuzzy	fuzzy	ADJ
cana-3844	335	11	database	database	NOUN
cana-3844	335	12	containing	contain	VERB
cana-3844	335	13	its	its	PRON
cana-3844	335	14	concepts	concept	NOUN
cana-3844	335	15	and	and	CCONJ
cana-3844	335	16	uses	use	NOUN
cana-3844	335	17	.	.	PUNCT
cana-3844	336	1	linguistic	linguistic	ADJ
cana-3844	336	2	hedges	hedge	NOUN
cana-3844	336	3	,	,	PUNCT
cana-3844	336	4	such	such	ADJ
cana-3844	336	5	as	as	ADP
cana-3844	336	6	more	more	ADJ
cana-3844	336	7	,	,	PUNCT
cana-3844	336	8	few	few	ADJ
cana-3844	336	9	,	,	PUNCT
cana-3844	336	10	very	very	ADV
cana-3844	336	11	,	,	PUNCT
cana-3844	336	12	slightly	slightly	ADV
cana-3844	336	13	,	,	PUNCT
cana-3844	336	14	and	and	CCONJ
cana-3844	336	15	less	less	ADJ
cana-3844	336	16	,	,	PUNCT
cana-3844	336	17	are	be	AUX
cana-3844	336	18	used	use	VERB
cana-3844	336	19	to	to	PART
cana-3844	336	20	represent	represent	VERB
cana-3844	336	21	linguistic	linguistic	ADJ
cana-3844	336	22	variables	variable	NOUN
cana-3844	336	23	.	.	PUNCT
cana-3844	337	1	it	it	PRON
cana-3844	337	2	shows	show	VERB
cana-3844	337	3	linguistic	linguistic	ADJ
cana-3844	337	4	variables	variable	NOUN
cana-3844	337	5	by	by	ADP
cana-3844	337	6	the	the	DET
cana-3844	337	7	notion	notion	NOUN
cana-3844	337	8	of	of	ADP
cana-3844	337	9	fs	f	NOUN
cana-3844	337	10	,	,	PUNCT
cana-3844	337	11	and	and	CCONJ
cana-3844	337	12	these	these	DET
cana-3844	337	13	linguistic	linguistic	ADJ
cana-3844	337	14	hedges	hedge	NOUN
cana-3844	337	15	represent	represent	VERB
cana-3844	337	16	the	the	DET
cana-3844	337	17	operations	operation	NOUN
cana-3844	337	18	on	on	ADP
cana-3844	337	19	an	an	DET
cana-3844	337	20	fs	fs	NOUN
cana-3844	337	21	.	.	PUNCT
cana-3844	338	1	we	we	PRON
cana-3844	338	2	looked	look	VERB
cana-3844	338	3	at	at	ADP
cana-3844	338	4	these	these	DET
cana-3844	338	5	operations	operation	NOUN
cana-3844	338	6	in	in	ADP
cana-3844	338	7	the	the	DET
cana-3844	338	8	current	current	ADJ
cana-3844	338	9	scenario	scenario	NOUN
cana-3844	338	10	and	and	CCONJ
cana-3844	338	11	contrasted	contrast	VERB
cana-3844	338	12	the	the	DET
cana-3844	338	13	effectiveness	effectiveness	NOUN
cana-3844	338	14	of	of	ADP
cana-3844	338	15	the	the	DET
cana-3844	338	16	suggested	suggest	VERB
cana-3844	338	17	km	km	NOUN
cana-3844	338	18	with	with	ADP
cana-3844	338	19	alternative	alternative	ADJ
cana-3844	338	20	metrics	metric	NOUN
cana-3844	338	21	.	.	PUNCT
cana-3844	339	1	communications	communication	NOUN
cana-3844	339	2	on	on	ADP
cana-3844	339	3	applied	apply	VERB
cana-3844	339	4	nonlinear	nonlinear	ADJ
cana-3844	339	5	analysis	analysis	NOUN
cana-3844	339	6	issn	issn	NOUN
cana-3844	339	7	:	:	PUNCT
cana-3844	339	8	1074	1074	NUM
cana-3844	339	9	-	-	PUNCT
cana-3844	339	10	133x	133x	NUM
cana-3844	339	11	vol	vol	NOUN
cana-3844	339	12	32	32	NUM
cana-3844	339	13	no	no	NOUN
cana-3844	339	14	.	.	PUNCT
cana-3844	340	1	9s	9s	NUM
cana-3844	340	2	(	(	PUNCT
cana-3844	340	3	2025	2025	NUM
cana-3844	340	4	)	)	PUNCT
cana-3844	340	5	147	147	NUM
cana-3844	340	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	340	7	define	define	VERB
cana-3844	340	8	a	a	DET
cana-3844	340	9	fs	fs	X
cana-3844	340	10	𝑄	𝑄	PROPN
cana-3844	340	11	=	=	SYM
cana-3844	340	12	{	{	PUNCT
cana-3844	340	13	〈	〈	NOUN
cana-3844	340	14	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	340	15	,	,	PUNCT
cana-3844	340	16	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	340	17	)	)	PUNCT
cana-3844	340	18	〉	〉	NOUN
cana-3844	340	19	:	:	PUNCT
cana-3844	340	20	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	340	21	∈	∈	PROPN
cana-3844	340	22	𝑃	𝑃	PROPN
cana-3844	340	23	}	}	PUNCT
cana-3844	340	24	on	on	ADP
cana-3844	340	25	p	p	NOUN
cana-3844	340	26	and	and	CCONJ
cana-3844	340	27	according	accord	VERB
cana-3844	340	28	to	to	ADP
cana-3844	340	29	this	this	PRON
cana-3844	340	30	fs	fs	ADP
cana-3844	340	31	"	"	PUNCT
cana-3844	340	32	q	q	NOUN
cana-3844	340	33	"	"	PUNCT
cana-3844	340	34	,	,	PUNCT
cana-3844	340	35	as	as	ADV
cana-3844	340	36	big	big	ADJ
cana-3844	340	37	on	on	ADP
cana-3844	340	38	p	p	X
cana-3844	340	39	,	,	PUNCT
cana-3844	340	40	the	the	DET
cana-3844	340	41	definition	definition	NOUN
cana-3844	340	42	of	of	ADP
cana-3844	340	43	its	its	PRON
cana-3844	340	44	modifier	modifier	NOUN
cana-3844	340	45	is	be	AUX
cana-3844	340	46	then	then	ADV
cana-3844	340	47	𝑄𝑛	𝑄𝑛	PROPN
cana-3844	340	48	=	=	PUNCT
cana-3844	340	49	{	{	PUNCT
cana-3844	340	50	〈	〈	NOUN
cana-3844	340	51	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	340	52	,	,	PUNCT
cana-3844	340	53	(	(	PUNCT
cana-3844	340	54	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	340	55	)	)	PUNCT
cana-3844	340	56	)	)	PUNCT
cana-3844	341	1	𝑛	𝑛	DET
cana-3844	341	2	〉	〉	NOUN
cana-3844	341	3	:	:	PUNCT
cana-3844	341	4	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	341	5	∈	∈	PROPN
cana-3844	341	6	𝑃	𝑃	PROPN
cana-3844	341	7	}	}	PUNCT
cana-3844	341	8	.	.	PUNCT
cana-3844	342	1	(	(	PUNCT
cana-3844	342	2	31	31	NUM
cana-3844	342	3	)	)	PUNCT
cana-3844	342	4	hung	hung	NOUN
cana-3844	342	5	and	and	CCONJ
cana-3844	342	6	yang	yang	PROPN
cana-3844	343	1	[	[	X
cana-3844	343	2	29	29	NUM
cana-3844	343	3	]	]	PUNCT
cana-3844	343	4	and	and	CCONJ
cana-3844	343	5	hwang	hwang	PROPN
cana-3844	343	6	and	and	CCONJ
cana-3844	343	7	yang	yang	PROPN
cana-3844	344	1	[	[	X
cana-3844	344	2	30	30	NUM
cana-3844	344	3	]	]	PUNCT
cana-3844	344	4	calculated	calculate	VERB
cana-3844	344	5	the	the	DET
cana-3844	344	6	concentration	concentration	NOUN
cana-3844	344	7	and	and	CCONJ
cana-3844	344	8	dilatation	dilatation	NOUN
cana-3844	344	9	for	for	ADP
cana-3844	344	10	a	a	DET
cana-3844	344	11	fs	fs	ADP
cana-3844	344	12	q.	q.	PROPN
cana-3844	344	13	𝐶𝑂𝑁(𝑄	𝐶𝑂𝑁(𝑄	PROPN
cana-3844	344	14	)	)	PUNCT
cana-3844	344	15	=	=	SYM
cana-3844	344	16	𝑄2	𝑄2	PROPN
cana-3844	344	17	,	,	PUNCT
cana-3844	344	18	and	and	CCONJ
cana-3844	344	19	𝐷𝐼𝐿(𝑄	𝐷𝐼𝐿(𝑄	NOUN
cana-3844	344	20	)	)	PUNCT
cana-3844	344	21	=	=	SYM
cana-3844	345	1	𝑄0.5	𝑄0.5	NOUN
cana-3844	345	2	.	.	PUNCT
cana-3844	346	1	(	(	PUNCT
cana-3844	346	2	32	32	NUM
cana-3844	346	3	)	)	PUNCT
cana-3844	346	4	regarding	regard	VERB
cana-3844	346	5	variables	variable	NOUN
cana-3844	346	6	,	,	PUNCT
cana-3844	346	7	dilation	dilation	NOUN
cana-3844	346	8	and	and	CCONJ
cana-3844	346	9	focus	focus	NOUN
cana-3844	346	10	are	be	AUX
cana-3844	346	11	worked	work	VERB
cana-3844	346	12	.	.	PUNCT
cana-3844	347	1	after	after	SCONJ
cana-3844	347	2	that	that	DET
cana-3844	347	3	terminology	terminology	NOUN
cana-3844	347	4	are	be	AUX
cana-3844	347	5	shortened	shorten	VERB
cana-3844	347	6	in	in	ADP
cana-3844	347	7	the	the	DET
cana-3844	347	8	sake	sake	NOUN
cana-3844	347	9	of	of	ADP
cana-3844	347	10	clarity	clarity	NOUN
cana-3844	347	11	:	:	PUNCT
cana-3844	347	12	big	big	ADJ
cana-3844	347	13	is	be	AUX
cana-3844	347	14	represented	represent	VERB
cana-3844	347	15	by	by	ADP
cana-3844	347	16	b	b	PROPN
cana-3844	347	17	,	,	PUNCT
cana-3844	347	18	very	very	ADV
cana-3844	347	19	big	big	ADJ
cana-3844	347	20	by	by	ADP
cana-3844	347	21	vb	vb	NOUN
cana-3844	347	22	,	,	PUNCT
cana-3844	347	23	more	more	ADJ
cana-3844	347	24	/	/	SYM
cana-3844	347	25	less	less	ADV
cana-3844	347	26	big	big	ADJ
cana-3844	347	27	by	by	ADP
cana-3844	347	28	mlb	mlb	PROPN
cana-3844	347	29	,	,	PUNCT
cana-3844	347	30	quite	quite	ADV
cana-3844	347	31	very	very	ADV
cana-3844	347	32	big	big	ADJ
cana-3844	347	33	by	by	ADP
cana-3844	347	34	qvb	qvb	NOUN
cana-3844	347	35	,	,	PUNCT
cana-3844	347	36	and	and	CCONJ
cana-3844	347	37	very	very	ADV
cana-3844	347	38	very	very	ADV
cana-3844	347	39	big	big	ADJ
cana-3844	347	40	by	by	ADP
cana-3844	347	41	vvb	vvb	PROPN
cana-3844	347	42	.	.	PUNCT
cana-3844	348	1	we	we	PRON
cana-3844	348	2	may	may	AUX
cana-3844	348	3	now	now	ADV
cana-3844	348	4	characterize	characterize	VERB
cana-3844	348	5	fs	fs	ADP
cana-3844	348	6	q	q	NOUN
cana-3844	348	7	’s	’s	NOUN
cana-3844	348	8	hedges	hedge	NOUN
cana-3844	348	9	as	as	SCONJ
cana-3844	348	10	follows	follow	VERB
cana-3844	348	11	{	{	PUNCT
cana-3844	348	12	𝑀𝐿𝐵	𝑀𝐿𝐵	PROPN
cana-3844	348	13	for𝑄0.5	for𝑄0.5	NOUN
cana-3844	348	14	𝐵	𝐵	PROPN
cana-3844	348	15	for𝑄	for𝑄	ADJ
cana-3844	348	16	𝑉𝐵	𝑉𝐵	PROPN
cana-3844	348	17	for𝑄2	for𝑄2	DET
cana-3844	348	18	𝑄𝑉𝐵	𝑄𝑉𝐵	PROPN
cana-3844	348	19	for𝑄3	for𝑄3	NOUN
cana-3844	348	20	𝑉𝑉𝐵	𝑉𝑉𝐵	PROPN
cana-3844	348	21	for𝑄4	for𝑄4	PROPN
cana-3844	348	22	(	(	PUNCT
cana-3844	348	23	33	33	NUM
cana-3844	348	24	)	)	PUNCT
cana-3844	348	25	they	they	PRON
cana-3844	348	26	were	be	AUX
cana-3844	348	27	used	use	VERB
cana-3844	348	28	to	to	PART
cana-3844	348	29	evaluate	evaluate	VERB
cana-3844	348	30	various	various	ADJ
cana-3844	348	31	fim	fim	NOUN
cana-3844	348	32	by	by	ADP
cana-3844	348	33	liu	liu	PROPN
cana-3844	348	34	and	and	CCONJ
cana-3844	348	35	ren	ren	PROPN
cana-3844	349	1	[	[	X
cana-3844	349	2	31	31	NUM
cana-3844	349	3	]	]	PUNCT
cana-3844	349	4	,	,	PUNCT
cana-3844	349	5	hung	hung	NOUN
cana-3844	349	6	and	and	CCONJ
cana-3844	349	7	yang	yang	PROPN
cana-3844	350	1	[	[	X
cana-3844	350	2	29	29	NUM
cana-3844	350	3	]	]	PUNCT
cana-3844	350	4	,	,	PUNCT
cana-3844	350	5	hwang	hwang	PROPN
cana-3844	350	6	and	and	CCONJ
cana-3844	350	7	yang	yang	PROPN
cana-3844	351	1	[	[	X
cana-3844	351	2	30	30	NUM
cana-3844	351	3	]	]	PUNCT
cana-3844	351	4	,	,	PUNCT
cana-3844	351	5	and	and	CCONJ
cana-3844	351	6	xia	xia	PROPN
cana-3844	351	7	and	and	CCONJ
cana-3844	351	8	xu	xu	PROPN
cana-3844	352	1	[	[	X
cana-3844	352	2	32	32	NUM
cana-3844	352	3	]	]	PUNCT
cana-3844	352	4	.	.	PUNCT
cana-3844	353	1	for	for	ADP
cana-3844	353	2	optimal	optimal	ADJ
cana-3844	353	3	performance	performance	NOUN
cana-3844	353	4	,	,	PUNCT
cana-3844	353	5	an	an	DET
cana-3844	353	6	fs	fs	ADP
cana-3844	353	7	q	q	NOUN
cana-3844	353	8	’s	’s	NOUN
cana-3844	353	9	fim	fim	NOUN
cana-3844	353	10	r(q	r(q	PROPN
cana-3844	353	11	)	)	PUNCT
cana-3844	353	12	must	must	AUX
cana-3844	353	13	satisfy	satisfy	VERB
cana-3844	353	14	the	the	DET
cana-3844	353	15	following	follow	VERB
cana-3844	353	16	order	order	NOUN
cana-3844	353	17	𝑅(𝑉𝑉𝐵	𝑅(𝑉𝑉𝐵	NOUN
cana-3844	353	18	)	)	PUNCT
cana-3844	353	19	<	<	X
cana-3844	353	20	𝑅(𝑄𝑉𝐵	𝑅(𝑄𝑉𝐵	PROPN
cana-3844	353	21	)	)	PUNCT
cana-3844	353	22	<	<	X
cana-3844	353	23	𝑅(𝑉𝐵	𝑅(𝑉𝐵	PROPN
cana-3844	353	24	)	)	PUNCT
cana-3844	353	25	<	<	X
cana-3844	353	26	𝑅(𝐵	𝑅(𝐵	ADV
cana-3844	353	27	)	)	PUNCT
cana-3844	353	28	<	<	X
cana-3844	353	29	𝑅(𝑀𝐿𝐵	𝑅(𝑀𝐿𝐵	NOUN
cana-3844	353	30	)	)	PUNCT
cana-3844	353	31	;	;	PUNCT
cana-3844	353	32	(	(	PUNCT
cana-3844	353	33	34	34	NUM
cana-3844	353	34	)	)	PUNCT
cana-3844	353	35	where	where	SCONJ
cana-3844	353	36	r(q	r(q	PROPN
cana-3844	353	37	)	)	PUNCT
cana-3844	353	38	is	be	AUX
cana-3844	353	39	defined	define	VERB
cana-3844	353	40	as	as	ADP
cana-3844	353	41	fim	fim	NOUN
cana-3844	353	42	of	of	ADP
cana-3844	353	43	fs	fs	ADP
cana-3844	353	44	q.	q.	PROPN
cana-3844	353	45	on	on	ADP
cana-3844	353	46	the	the	DET
cana-3844	353	47	other	other	ADJ
cana-3844	353	48	hand	hand	NOUN
cana-3844	353	49	,	,	PUNCT
cana-3844	353	50	according	accord	VERB
cana-3844	353	51	to	to	ADP
cana-3844	353	52	singh	singh	PROPN
cana-3844	353	53	et	et	PROPN
cana-3844	353	54	al	al	PROPN
cana-3844	353	55	.	.	PUNCT
cana-3844	354	1	[	[	X
cana-3844	354	2	12	12	NUM
cana-3844	354	3	]	]	PUNCT
cana-3844	354	4	,	,	PUNCT
cana-3844	354	5	a	a	DET
cana-3844	354	6	km	km	NOUN
cana-3844	354	7	should	should	AUX
cana-3844	354	8	adhere	adhere	VERB
cana-3844	354	9	to	to	ADP
cana-3844	354	10	the	the	DET
cana-3844	354	11	following	follow	VERB
cana-3844	354	12	order	order	NOUN
cana-3844	354	13	:	:	PUNCT
cana-3844	354	14	𝑌(𝑉𝑉𝐵	𝑌(𝑉𝑉𝐵	X
cana-3844	354	15	)	)	PUNCT
cana-3844	354	16	>	>	PUNCT
cana-3844	354	17	𝑌(𝑄𝑉𝐵	𝑌(𝑄𝑉𝐵	NOUN
cana-3844	354	18	)	)	PUNCT
cana-3844	354	19	>	>	X
cana-3844	355	1	𝑌(𝑉𝐵	𝑌(𝑉𝐵	X
cana-3844	355	2	)	)	PUNCT
cana-3844	355	3	>	>	X
cana-3844	355	4	𝑌(𝐵	𝑌(𝐵	X
cana-3844	355	5	)	)	PUNCT
cana-3844	355	6	>	>	X
cana-3844	356	1	𝑌(𝑀𝐿𝐵	𝑌(𝑀𝐿𝐵	NOUN
cana-3844	356	2	)	)	PUNCT
cana-3844	356	3	;	;	PUNCT
cana-3844	356	4	(	(	PUNCT
cana-3844	356	5	35	35	NUM
cana-3844	356	6	)	)	PUNCT
cana-3844	356	7	here	here	ADV
cana-3844	356	8	𝑌𝐵(q	𝑌𝐵(q	PROPN
cana-3844	356	9	)	)	PUNCT
cana-3844	356	10	is	be	AUX
cana-3844	356	11	known	know	VERB
cana-3844	356	12	as	as	ADP
cana-3844	356	13	fkm	fkm	PROPN
cana-3844	356	14	of	of	ADP
cana-3844	356	15	fs	fs	ADP
cana-3844	356	16	q.	q.	PROPN
cana-3844	356	17	we	we	PRON
cana-3844	356	18	now	now	ADV
cana-3844	356	19	use	use	VERB
cana-3844	356	20	the	the	DET
cana-3844	356	21	example	example	NOUN
cana-3844	356	22	below	below	ADV
cana-3844	356	23	to	to	PART
cana-3844	356	24	assess	assess	VERB
cana-3844	356	25	the	the	DET
cana-3844	356	26	efficacy	efficacy	NOUN
cana-3844	356	27	of	of	ADP
cana-3844	356	28	the	the	DET
cana-3844	356	29	proposed	propose	VERB
cana-3844	356	30	km	km	NOUN
cana-3844	356	31	𝑌𝐵(q	𝑌𝐵(q	ADJ
cana-3844	356	32	):	):	PUNCT
cana-3844	356	33	example	example	NOUN
cana-3844	356	34	3	3	NUM
cana-3844	356	35	suppose	suppose	VERB
cana-3844	356	36	p=	p=	PROPN
cana-3844	356	37	{	{	PUNCT
cana-3844	356	38	𝑝𝑖	𝑝𝑖	NOUN
cana-3844	356	39	;	;	PUNCT
cana-3844	356	40	1	1	NUM
cana-3844	356	41	≤	≤	NUM
cana-3844	356	42	𝑖	𝑖	PUNCT
cana-3844	356	43	≤	≤	NUM
cana-3844	356	44	5	5	NUM
cana-3844	356	45	}	}	PUNCT
cana-3844	356	46	be	be	AUX
cana-3844	356	47	a	a	DET
cana-3844	356	48	countable	countable	ADJ
cana-3844	356	49	set	set	NOUN
cana-3844	356	50	and	and	CCONJ
cana-3844	356	51	similarly	similarly	ADV
cana-3844	356	52	q	q	X
cana-3844	356	53	∈	∈	PROPN
cana-3844	356	54	fs(p	fs(p	NOUN
cana-3844	356	55	)	)	PUNCT
cana-3844	356	56	is	be	AUX
cana-3844	356	57	defined	define	VERB
cana-3844	356	58	as	as	ADP
cana-3844	356	59	𝑄	𝑄	PROPN
cana-3844	356	60	=	=	SYM
cana-3844	356	61	{	{	PUNCT
cana-3844	356	62	(	(	PUNCT
cana-3844	356	63	℘1	℘1	NOUN
cana-3844	356	64	,	,	PUNCT
cana-3844	356	65	0.3	0.3	NUM
cana-3844	356	66	)	)	PUNCT
cana-3844	356	67	,	,	PUNCT
cana-3844	356	68	(	(	PUNCT
cana-3844	356	69	℘2	℘2	PROPN
cana-3844	356	70	,	,	PUNCT
cana-3844	356	71	0.5	0.5	NUM
cana-3844	356	72	)	)	PUNCT
cana-3844	356	73	,	,	PUNCT
cana-3844	356	74	(	(	PUNCT
cana-3844	356	75	℘3	℘3	ADJ
cana-3844	356	76	,	,	PUNCT
cana-3844	356	77	0.7	0.7	NUM
cana-3844	356	78	)	)	PUNCT
cana-3844	356	79	,	,	PUNCT
cana-3844	356	80	(	(	PUNCT
cana-3844	356	81	℘4	℘4	NOUN
cana-3844	356	82	,	,	PUNCT
cana-3844	356	83	0.8	0.8	NUM
cana-3844	356	84	)	)	PUNCT
cana-3844	356	85	,	,	PUNCT
cana-3844	356	86	(	(	PUNCT
cana-3844	356	87	℘5	℘5	VERB
cana-3844	356	88	,	,	PUNCT
cana-3844	356	89	1	1	NUM
cana-3844	356	90	)	)	PUNCT
cana-3844	356	91	}	}	PUNCT
cana-3844	356	92	.	.	PUNCT
cana-3844	357	1	(	(	PUNCT
cana-3844	357	2	36	36	NUM
cana-3844	357	3	)	)	PUNCT
cana-3844	357	4	considering	consider	VERB
cana-3844	357	5	fs	fs	INTJ
cana-3844	357	6	"	"	PUNCT
cana-3844	357	7	q	q	NOUN
cana-3844	357	8	"	"	PUNCT
cana-3844	357	9	as	as	ADV
cana-3844	357	10	big	big	ADJ
cana-3844	357	11	on	on	ADP
cana-3844	357	12	p	p	NOUN
cana-3844	357	13	and	and	CCONJ
cana-3844	357	14	assuming	assume	VERB
cana-3844	357	15	the	the	DET
cana-3844	357	16	linguistic	linguistic	ADJ
cana-3844	357	17	variables	variable	NOUN
cana-3844	357	18	in	in	ADP
cana-3844	357	19	accordance	accordance	NOUN
cana-3844	357	20	with	with	ADP
cana-3844	357	21	eq	eq	NOUN
cana-3844	357	22	.	.	PUNCT
cana-3844	358	1	(	(	PUNCT
cana-3844	358	2	33	33	NUM
cana-3844	358	3	)	)	PUNCT
cana-3844	358	4	.	.	PUNCT
cana-3844	359	1	it	it	PRON
cana-3844	359	2	allows	allow	VERB
cana-3844	359	3	us	we	PRON
cana-3844	359	4	to	to	PART
cana-3844	359	5	produce	produce	VERB
cana-3844	359	6	the	the	DET
cana-3844	359	7	following	following	NOUN
cana-3844	359	8	fs	fs	ADP
cana-3844	359	9	eq	eq	NOUN
cana-3844	359	10	.	.	PUNCT
cana-3844	360	1	(	(	PUNCT
cana-3844	360	2	31	31	NUM
cana-3844	360	3	)	)	PUNCT
cana-3844	360	4	.	.	PUNCT
cana-3844	361	1	communications	communication	NOUN
cana-3844	361	2	on	on	ADP
cana-3844	361	3	applied	apply	VERB
cana-3844	361	4	nonlinear	nonlinear	ADJ
cana-3844	361	5	analysis	analysis	NOUN
cana-3844	361	6	issn	issn	NOUN
cana-3844	361	7	:	:	PUNCT
cana-3844	361	8	1074	1074	NUM
cana-3844	361	9	-	-	PUNCT
cana-3844	361	10	133x	133x	NUM
cana-3844	361	11	vol	vol	NOUN
cana-3844	361	12	32	32	NUM
cana-3844	361	13	no	no	NOUN
cana-3844	361	14	.	.	PUNCT
cana-3844	362	1	9s	9s	NUM
cana-3844	362	2	(	(	PUNCT
cana-3844	362	3	2025	2025	NUM
cana-3844	362	4	)	)	PUNCT
cana-3844	362	5	148	148	NUM
cana-3844	362	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	362	7	𝑄0.5	𝑄0.5	NOUN
cana-3844	362	8	=	=	SYM
cana-3844	362	9	{	{	PUNCT
cana-3844	362	10	(	(	PUNCT
cana-3844	362	11	℘1	℘1	NOUN
cana-3844	362	12	,	,	PUNCT
cana-3844	362	13	0.5477	0.5477	NOUN
cana-3844	362	14	)	)	PUNCT
cana-3844	362	15	,	,	PUNCT
cana-3844	362	16	(	(	PUNCT
cana-3844	362	17	℘2	℘2	PROPN
cana-3844	362	18	,	,	PUNCT
cana-3844	362	19	0.7071	0.7071	NUM
cana-3844	362	20	)	)	PUNCT
cana-3844	362	21	,	,	PUNCT
cana-3844	362	22	(	(	PUNCT
cana-3844	362	23	℘3	℘3	ADJ
cana-3844	362	24	,	,	PUNCT
cana-3844	362	25	0.8366	0.8366	NUM
cana-3844	362	26	)	)	PUNCT
cana-3844	362	27	,	,	PUNCT
cana-3844	362	28	(	(	PUNCT
cana-3844	362	29	℘4	℘4	NOUN
cana-3844	362	30	,	,	PUNCT
cana-3844	362	31	0.8944	0.8944	NUM
cana-3844	362	32	)	)	PUNCT
cana-3844	362	33	,	,	PUNCT
cana-3844	362	34	(	(	PUNCT
cana-3844	362	35	℘5	℘5	VERB
cana-3844	362	36	,	,	PUNCT
cana-3844	362	37	1	1	NUM
cana-3844	362	38	)	)	PUNCT
cana-3844	362	39	}	}	PUNCT
cana-3844	362	40	;	;	PUNCT
cana-3844	362	41	𝑄	𝑄	PROPN
cana-3844	362	42	=	=	SYM
cana-3844	362	43	{	{	PUNCT
cana-3844	362	44	(	(	PUNCT
cana-3844	362	45	℘1	℘1	NOUN
cana-3844	362	46	,	,	PUNCT
cana-3844	362	47	0.3	0.3	NUM
cana-3844	362	48	)	)	PUNCT
cana-3844	362	49	,	,	PUNCT
cana-3844	362	50	(	(	PUNCT
cana-3844	362	51	℘2	℘2	PROPN
cana-3844	362	52	,	,	PUNCT
cana-3844	362	53	0.5	0.5	NUM
cana-3844	362	54	)	)	PUNCT
cana-3844	362	55	,	,	PUNCT
cana-3844	362	56	(	(	PUNCT
cana-3844	362	57	℘3	℘3	ADJ
cana-3844	362	58	,	,	PUNCT
cana-3844	362	59	0.7	0.7	NUM
cana-3844	362	60	)	)	PUNCT
cana-3844	362	61	,	,	PUNCT
cana-3844	362	62	(	(	PUNCT
cana-3844	362	63	℘4	℘4	NOUN
cana-3844	362	64	,	,	PUNCT
cana-3844	362	65	0.8	0.8	NUM
cana-3844	362	66	)	)	PUNCT
cana-3844	362	67	,	,	PUNCT
cana-3844	362	68	(	(	PUNCT
cana-3844	362	69	℘5	℘5	VERB
cana-3844	362	70	,	,	PUNCT
cana-3844	362	71	1	1	NUM
cana-3844	362	72	)	)	PUNCT
cana-3844	362	73	}	}	PUNCT
cana-3844	362	74	;	;	PUNCT
cana-3844	362	75	𝑄2	𝑄2	PROPN
cana-3844	362	76	=	=	PRON
cana-3844	362	77	{	{	PUNCT
cana-3844	362	78	(	(	PUNCT
cana-3844	362	79	℘1	℘1	NOUN
cana-3844	362	80	,	,	PUNCT
cana-3844	362	81	0.09	0.09	NUM
cana-3844	362	82	)	)	PUNCT
cana-3844	362	83	,	,	PUNCT
cana-3844	362	84	(	(	PUNCT
cana-3844	362	85	℘2	℘2	PROPN
cana-3844	362	86	,	,	PUNCT
cana-3844	362	87	0.25	0.25	NUM
cana-3844	362	88	)	)	PUNCT
cana-3844	362	89	,	,	PUNCT
cana-3844	362	90	(	(	PUNCT
cana-3844	362	91	℘3	℘3	ADJ
cana-3844	362	92	,	,	PUNCT
cana-3844	362	93	0.49	0.49	NUM
cana-3844	362	94	)	)	PUNCT
cana-3844	362	95	,	,	PUNCT
cana-3844	362	96	(	(	PUNCT
cana-3844	362	97	℘4	℘4	NOUN
cana-3844	362	98	,	,	PUNCT
cana-3844	362	99	0.64	0.64	NUM
cana-3844	362	100	)	)	PUNCT
cana-3844	362	101	,	,	PUNCT
cana-3844	362	102	(	(	PUNCT
cana-3844	362	103	℘5	℘5	VERB
cana-3844	362	104	,	,	PUNCT
cana-3844	362	105	1	1	NUM
cana-3844	362	106	)	)	PUNCT
cana-3844	362	107	}	}	PUNCT
cana-3844	362	108	;	;	PUNCT
cana-3844	362	109	𝑄3	𝑄3	X
cana-3844	362	110	=	=	SYM
cana-3844	362	111	{	{	PUNCT
cana-3844	362	112	(	(	PUNCT
cana-3844	362	113	℘1	℘1	NOUN
cana-3844	362	114	,	,	PUNCT
cana-3844	362	115	0.027	0.027	NUM
cana-3844	362	116	)	)	PUNCT
cana-3844	362	117	,	,	PUNCT
cana-3844	362	118	(	(	PUNCT
cana-3844	362	119	℘2	℘2	PROPN
cana-3844	362	120	,	,	PUNCT
cana-3844	362	121	0.125	0.125	NUM
cana-3844	362	122	)	)	PUNCT
cana-3844	362	123	,	,	PUNCT
cana-3844	362	124	(	(	PUNCT
cana-3844	362	125	℘3	℘3	X
cana-3844	362	126	,	,	PUNCT
cana-3844	362	127	0.343	0.343	NUM
cana-3844	362	128	)	)	PUNCT
cana-3844	362	129	,	,	PUNCT
cana-3844	362	130	(	(	PUNCT
cana-3844	362	131	℘4	℘4	NOUN
cana-3844	362	132	,	,	PUNCT
cana-3844	362	133	0.512	0.512	NUM
cana-3844	362	134	)	)	PUNCT
cana-3844	362	135	,	,	PUNCT
cana-3844	362	136	(	(	PUNCT
cana-3844	362	137	℘5	℘5	VERB
cana-3844	362	138	,	,	PUNCT
cana-3844	362	139	1	1	NUM
cana-3844	362	140	)	)	PUNCT
cana-3844	362	141	}	}	PUNCT
cana-3844	362	142	;	;	PUNCT
cana-3844	362	143	𝑄4	𝑄4	X
cana-3844	362	144	=	=	SYM
cana-3844	362	145	{	{	PUNCT
cana-3844	362	146	(	(	PUNCT
cana-3844	362	147	℘1	℘1	NOUN
cana-3844	362	148	,	,	PUNCT
cana-3844	362	149	0.0081	0.0081	NUM
cana-3844	362	150	)	)	PUNCT
cana-3844	362	151	,	,	PUNCT
cana-3844	362	152	(	(	PUNCT
cana-3844	362	153	℘2	℘2	PROPN
cana-3844	362	154	,	,	PUNCT
cana-3844	362	155	0.0625	0.0625	NUM
cana-3844	362	156	)	)	PUNCT
cana-3844	362	157	,	,	PUNCT
cana-3844	362	158	(	(	PUNCT
cana-3844	362	159	℘3	℘3	ADJ
cana-3844	362	160	,	,	PUNCT
cana-3844	362	161	0.2401	0.2401	NUM
cana-3844	362	162	)	)	PUNCT
cana-3844	362	163	,	,	PUNCT
cana-3844	362	164	(	(	PUNCT
cana-3844	362	165	℘4	℘4	NOUN
cana-3844	362	166	,	,	PUNCT
cana-3844	362	167	0.4096	0.4096	NUM
cana-3844	362	168	)	)	PUNCT
cana-3844	362	169	,	,	PUNCT
cana-3844	362	170	(	(	PUNCT
cana-3844	362	171	℘5	℘5	VERB
cana-3844	362	172	,	,	PUNCT
cana-3844	362	173	1	1	NUM
cana-3844	362	174	)	)	PUNCT
cana-3844	362	175	}	}	PUNCT
cana-3844	362	176	.	.	PUNCT
cana-3844	363	1	(	(	PUNCT
cana-3844	363	2	37	37	NUM
cana-3844	363	3	)	)	PUNCT
cana-3844	363	4	we	we	PRON
cana-3844	363	5	now	now	ADV
cana-3844	363	6	use	use	VERB
cana-3844	363	7	the	the	DET
cana-3844	363	8	suggested	suggest	VERB
cana-3844	363	9	km	km	NOUN
cana-3844	363	10	given	give	VERB
cana-3844	363	11	in	in	ADP
cana-3844	363	12	eq	eq	ADP
cana-3844	363	13	.	.	PUNCT
cana-3844	364	1	(	(	PUNCT
cana-3844	364	2	10	10	NUM
cana-3844	364	3	)	)	PUNCT
cana-3844	364	4	to	to	PART
cana-3844	364	5	analyze	analyze	VERB
cana-3844	364	6	the	the	DET
cana-3844	364	7	efficacy	efficacy	NOUN
cana-3844	364	8	of	of	ADP
cana-3844	364	9	the	the	DET
cana-3844	364	10	existing	exist	VERB
cana-3844	364	11	measures	measure	NOUN
cana-3844	364	12	.	.	PUNCT
cana-3844	365	1	together	together	ADV
cana-3844	365	2	with	with	ADP
cana-3844	365	3	the	the	DET
cana-3844	365	4	suggested	suggested	ADJ
cana-3844	365	5	km	km	PROPN
cana-3844	365	6	,	,	PUNCT
cana-3844	365	7	we	we	PRON
cana-3844	365	8	now	now	ADV
cana-3844	365	9	compute	compute	VERB
cana-3844	365	10	the	the	DET
cana-3844	365	11	values	value	NOUN
cana-3844	365	12	of	of	ADP
cana-3844	365	13	the	the	DET
cana-3844	365	14	various	various	ADJ
cana-3844	365	15	metrics	metric	NOUN
cana-3844	365	16	.	.	PUNCT
cana-3844	366	1	the	the	DET
cana-3844	366	2	computed	computed	ADJ
cana-3844	366	3	values	value	NOUN
cana-3844	366	4	are	be	AUX
cana-3844	366	5	in	in	ADP
cana-3844	366	6	table	table	NOUN
cana-3844	366	7	3	3	NUM
cana-3844	366	8	.	.	PUNCT
cana-3844	366	9	table	table	NOUN
cana-3844	366	10	3	3	NUM
cana-3844	366	11	:	:	PUNCT
cana-3844	366	12	evaluated	evaluate	VERB
cana-3844	366	13	values	value	NOUN
cana-3844	366	14	that	that	PRON
cana-3844	366	15	are	be	AUX
cana-3844	366	16	specified	specify	VERB
cana-3844	366	17	in	in	ADP
cana-3844	366	18	eqs	eqs	PROPN
cana-3844	366	19	.	.	PUNCT
cana-3844	367	1	(	(	PUNCT
cana-3844	367	2	23	23	NUM
cana-3844	367	3	)	)	PUNCT
cana-3844	367	4	(	(	PUNCT
cana-3844	367	5	30	30	NUM
cana-3844	367	6	)	)	PUNCT
cana-3844	367	7	.	.	PUNCT
cana-3844	368	1	of	of	ADP
cana-3844	368	2	different	different	ADJ
cana-3844	368	3	measures	measure	NOUN
cana-3844	368	4	are	be	AUX
cana-3844	368	5	shown	show	VERB
cana-3844	368	6	here	here	ADV
cana-3844	368	7	.	.	PUNCT
cana-3844	369	1	fuzzy	fuzzy	PROPN
cana-3844	369	2	set	set	VERB
cana-3844	369	3	↓	↓	PROPN
cana-3844	369	4	←	←	PROPN
cana-3844	369	5	different	different	ADJ
cana-3844	369	6	measures	measure	NOUN
cana-3844	369	7	→	→	PUNCT
cana-3844	369	8	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	369	9	1𝑌(𝑄	1𝑌(𝑄	PROPN
cana-3844	369	10	)	)	PUNCT
cana-3844	369	11	𝑅𝐾	𝑅𝐾	PROPN
cana-3844	369	12	1𝑌(𝑄	1𝑌(𝑄	NUM
cana-3844	369	13	)	)	PUNCT
cana-3844	369	14	𝑅𝑃𝑉(𝑄	𝑅𝑃𝑉(𝑄	NOUN
cana-3844	369	15	)	)	PUNCT
cana-3844	369	16	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	369	17	𝛽	𝛽	PROPN
cana-3844	369	18	(	(	PUNCT
cana-3844	369	19	𝑄	𝑄	PROPN
cana-3844	369	20	)	)	PUNCT
cana-3844	369	21	𝑌𝑂𝑌(𝑄	𝑌𝑂𝑌(𝑄	NUM
cana-3844	369	22	)	)	PUNCT
cana-3844	369	23	𝑌𝑃	𝑌𝑃	ADV
cana-3844	369	24	𝛽,𝛾	𝛽,𝛾	ADJ
cana-3844	369	25	(	(	PUNCT
cana-3844	369	26	𝑄	𝑄	PROPN
cana-3844	369	27	)	)	PUNCT
cana-3844	369	28	𝑌𝐵(𝑄	𝑌𝐵(𝑄	NOUN
cana-3844	369	29	)	)	PUNCT
cana-3844	369	30	mlb	mlb	NOUN
cana-3844	369	31	0.4056	0.4056	NUM
cana-3844	369	32	0.2544	0.2544	NUM
cana-3844	369	33	1.3598	1.3598	NUM
cana-3844	369	34	0.5372	0.5372	NUM
cana-3844	369	35	0.6400	0.6400	NUM
cana-3844	369	36	0.5096	0.5096	NUM
cana-3844	369	37	0.4182	0.4182	NUM
cana-3844	369	38	b	b	NOUN
cana-3844	369	39	0.5200	0.5200	NUM
cana-3844	369	40	0.3513	0.3513	NUM
cana-3844	369	41	1.4338	1.4338	NUM
cana-3844	369	42	0.4179	0.4179	NUM
cana-3844	369	43	0.5585	0.5585	NUM
cana-3844	369	44	0.3892	0.3892	NUM
cana-3844	369	45	0.4402	0.4402	NUM
cana-3844	369	46	vb	vb	NOUN
cana-3844	369	47	0.4760	0.4760	NUM
cana-3844	369	48	0.3123	0.3123	NUM
cana-3844	369	49	1.3980	1.3980	NUM
cana-3844	369	50	0.4856	0.4856	NUM
cana-3844	369	51	0.6014	0.6014	NUM
cana-3844	369	52	0.4463	0.4463	NUM
cana-3844	369	53	0.4543	0.4543	NUM
cana-3844	369	54	qvb	qvb	NOUN
cana-3844	369	55	0.3932	0.3932	NUM
cana-3844	369	56	0.2447	0.2447	NUM
cana-3844	369	57	1.3946	1.3946	NUM
cana-3844	369	58	0.4997	0.4997	NUM
cana-3844	369	59	0.6757	0.6757	NUM
cana-3844	369	60	0.5492	0.5492	NUM
cana-3844	369	61	0.5546	0.5546	NUM
cana-3844	369	62	vvb	vvb	NOUN
cana-3844	369	63	0.2881	0.2881	NUM
cana-3844	369	64	0.1683	0.1683	NUM
cana-3844	369	65	1.2574	1.2574	NUM
cana-3844	369	66	0.5820	0.5820	NUM
cana-3844	369	67	0.6846	0.6846	NUM
cana-3844	369	68	0.6471	0.6471	NUM
cana-3844	369	69	0.6533	0.6533	NUM
cana-3844	369	70	we	we	PRON
cana-3844	369	71	take	take	VERB
cana-3844	369	72	𝛽=1.5	𝛽=1.5	NOUN
cana-3844	369	73	for	for	ADP
cana-3844	369	74	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	369	75	𝛽	𝛽	PROPN
cana-3844	369	76	(	(	PUNCT
cana-3844	369	77	q	q	NOUN
cana-3844	369	78	)	)	PUNCT
cana-3844	369	79	,	,	PUNCT
cana-3844	369	80	and	and	CCONJ
cana-3844	369	81	𝛽=1.9	𝛽=1.9	ADV
cana-3844	369	82	,	,	PUNCT
cana-3844	369	83	𝛾=5.5	𝛾=5.5	NOUN
cana-3844	369	84	for	for	ADP
cana-3844	369	85	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	369	86	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	369	87	(	(	PUNCT
cana-3844	369	88	q	q	NOUN
cana-3844	369	89	)	)	PUNCT
cana-3844	369	90	.	.	PUNCT
cana-3844	370	1	from	from	ADP
cana-3844	370	2	table	table	NOUN
cana-3844	370	3	3	3	NUM
cana-3844	370	4	,	,	PUNCT
cana-3844	370	5	we	we	PRON
cana-3844	370	6	get	get	VERB
cana-3844	370	7	the	the	DET
cana-3844	370	8	following	follow	VERB
cana-3844	370	9	observations	observation	NOUN
cana-3844	370	10	:	:	PUNCT
cana-3844	370	11	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	370	12	1𝑌(𝑉𝑉𝐵	1𝑌(𝑉𝑉𝐵	NUM
cana-3844	370	13	)	)	PUNCT
cana-3844	371	1	<	<	X
cana-3844	371	2	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	371	3	1𝑌(𝑄𝑉𝐵	1𝑌(𝑄𝑉𝐵	NOUN
cana-3844	371	4	)	)	PUNCT
cana-3844	372	1	<	<	X
cana-3844	372	2	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	372	3	1𝑌(𝑉𝐵	1𝑌(𝑉𝐵	NUM
cana-3844	372	4	)	)	PUNCT
cana-3844	372	5	<	<	X
cana-3844	372	6	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	372	7	1𝑌(𝐵	1𝑌(𝐵	PROPN
cana-3844	372	8	)	)	PUNCT
cana-3844	372	9	>	>	X
cana-3844	372	10	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	372	11	1𝑌(𝑀𝐿𝐵	1𝑌(𝑀𝐿𝐵	NUM
cana-3844	372	12	)	)	PUNCT
cana-3844	372	13	;	;	PUNCT
cana-3844	372	14	𝑅𝐾	𝑅𝐾	PROPN
cana-3844	372	15	1𝑌(𝑉𝑉𝐵	1𝑌(𝑉𝑉𝐵	NUM
cana-3844	372	16	)	)	PUNCT
cana-3844	372	17	<	<	X
cana-3844	372	18	𝑅𝐾	𝑅𝐾	PRON
cana-3844	372	19	1𝑌(𝑄𝑉𝐵	1𝑌(𝑄𝑉𝐵	NOUN
cana-3844	372	20	)	)	PUNCT
cana-3844	372	21	<	<	X
cana-3844	372	22	𝑅𝐾	𝑅𝐾	PROPN
cana-3844	372	23	1𝑌(𝑉𝐵	1𝑌(𝑉𝐵	NUM
cana-3844	372	24	)	)	PUNCT
cana-3844	372	25	<	<	X
cana-3844	372	26	𝑅𝐾	𝑅𝐾	PROPN
cana-3844	372	27	1𝑌(𝐵	1𝑌(𝐵	NUM
cana-3844	372	28	)	)	PUNCT
cana-3844	372	29	>	>	X
cana-3844	373	1	𝑅𝐾	𝑅𝐾	PROPN
cana-3844	373	2	1𝑌(𝑀𝐿𝐵	1𝑌(𝑀𝐿𝐵	NUM
cana-3844	373	3	)	)	PUNCT
cana-3844	373	4	;	;	PUNCT
cana-3844	374	1	𝑅𝑃𝑉(𝑉𝑉𝐵	𝑅𝑃𝑉(𝑉𝑉𝐵	X
cana-3844	374	2	)	)	PUNCT
cana-3844	374	3	<	<	X
cana-3844	374	4	𝑅𝑃𝑉(𝑄𝑉𝐵	𝑅𝑃𝑉(𝑄𝑉𝐵	NOUN
cana-3844	374	5	)	)	PUNCT
cana-3844	374	6	<	<	X
cana-3844	374	7	𝑅𝑃𝑉(𝑉𝐵	𝑅𝑃𝑉(𝑉𝐵	NUM
cana-3844	374	8	)	)	PUNCT
cana-3844	374	9	<	<	X
cana-3844	374	10	𝑅𝑃𝑉(𝐵	𝑅𝑃𝑉(𝐵	NOUN
cana-3844	374	11	)	)	PUNCT
cana-3844	374	12	>	>	X
cana-3844	374	13	𝑅𝑃𝑉(𝑀𝐿𝐵	𝑅𝑃𝑉(𝑀𝐿𝐵	PROPN
cana-3844	374	14	)	)	PUNCT
cana-3844	374	15	;	;	PUNCT
cana-3844	374	16	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	374	17	𝛽	𝛽	PROPN
cana-3844	374	18	(	(	PUNCT
cana-3844	374	19	𝑉𝑉𝐵	𝑉𝑉𝐵	PROPN
cana-3844	374	20	)	)	PUNCT
cana-3844	374	21	>	>	PUNCT
cana-3844	375	1	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	375	2	𝛽	𝛽	PROPN
cana-3844	375	3	(	(	PUNCT
cana-3844	375	4	𝑄𝑉𝐵	𝑄𝑉𝐵	PROPN
cana-3844	375	5	)	)	PUNCT
cana-3844	375	6	>	>	PUNCT
cana-3844	376	1	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	376	2	𝛽	𝛽	PROPN
cana-3844	376	3	(	(	PUNCT
cana-3844	376	4	𝑉𝐵	𝑉𝐵	PROPN
cana-3844	376	5	)	)	PUNCT
cana-3844	376	6	>	>	PUNCT
cana-3844	377	1	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	377	2	𝛽	𝛽	PROPN
cana-3844	377	3	(	(	PUNCT
cana-3844	377	4	𝐵	𝐵	NOUN
cana-3844	377	5	)	)	PUNCT
cana-3844	377	6	<	<	X
cana-3844	377	7	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	377	8	𝛽	𝛽	PROPN
cana-3844	377	9	(	(	PUNCT
cana-3844	377	10	𝑀𝐿𝐵	𝑀𝐿𝐵	PROPN
cana-3844	377	11	)	)	PUNCT
cana-3844	377	12	;	;	PUNCT
cana-3844	377	13	𝑌𝑂𝑌(𝑉𝑉𝐵	𝑌𝑂𝑌(𝑉𝑉𝐵	X
cana-3844	377	14	)	)	PUNCT
cana-3844	377	15	>	>	PUNCT
cana-3844	378	1	𝑌𝑂𝑌(𝑄𝑉𝐵	𝑌𝑂𝑌(𝑄𝑉𝐵	NOUN
cana-3844	378	2	)	)	PUNCT
cana-3844	378	3	>	>	X
cana-3844	379	1	𝑌𝑂𝑌(𝑉𝐵	𝑌𝑂𝑌(𝑉𝐵	NUM
cana-3844	379	2	)	)	PUNCT
cana-3844	379	3	>	>	X
cana-3844	380	1	𝑌𝑂𝑌(𝐵	𝑌𝑂𝑌(𝐵	PROPN
cana-3844	380	2	)	)	PUNCT
cana-3844	380	3	<	<	X
cana-3844	380	4	𝑌𝑂𝑌(𝑀𝐿𝐵	𝑌𝑂𝑌(𝑀𝐿𝐵	NOUN
cana-3844	380	5	)	)	PUNCT
cana-3844	380	6	;	;	PUNCT
cana-3844	380	7	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	380	8	𝛽,𝛾	𝛽,𝛾	ADJ
cana-3844	380	9	(	(	PUNCT
cana-3844	380	10	𝑉𝑉𝐵	𝑉𝑉𝐵	PROPN
cana-3844	380	11	)	)	PUNCT
cana-3844	380	12	>	>	PUNCT
cana-3844	380	13	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	380	14	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	380	15	(	(	PUNCT
cana-3844	380	16	𝑄𝑉𝐵	𝑄𝑉𝐵	PROPN
cana-3844	380	17	)	)	PUNCT
cana-3844	380	18	>	>	PUNCT
cana-3844	381	1	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	381	2	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	381	3	(	(	PUNCT
cana-3844	381	4	𝑉𝐵	𝑉𝐵	PROPN
cana-3844	381	5	)	)	PUNCT
cana-3844	381	6	>	>	PUNCT
cana-3844	382	1	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	382	2	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	382	3	(	(	PUNCT
cana-3844	382	4	𝐵	𝐵	NOUN
cana-3844	382	5	)	)	PUNCT
cana-3844	382	6	<	<	X
cana-3844	382	7	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	382	8	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	382	9	(	(	PUNCT
cana-3844	382	10	𝑀𝐿𝐵	𝑀𝐿𝐵	PROPN
cana-3844	382	11	)	)	PUNCT
cana-3844	382	12	;	;	PUNCT
cana-3844	382	13	𝑌𝐵(𝑉𝑉𝐵	𝑌𝐵(𝑉𝑉𝐵	PROPN
cana-3844	382	14	)	)	PUNCT
cana-3844	382	15	>	>	X
cana-3844	382	16	𝑌𝐵(𝑄𝑉𝐵	𝑌𝐵(𝑄𝑉𝐵	NUM
cana-3844	382	17	)	)	PUNCT
cana-3844	382	18	>	>	X
cana-3844	383	1	𝑌𝐵(𝑉𝐵	𝑌𝐵(𝑉𝐵	PROPN
cana-3844	383	2	)	)	PUNCT
cana-3844	383	3	>	>	X
cana-3844	383	4	𝑌𝐵(𝐵	𝑌𝐵(𝐵	PROPN
cana-3844	383	5	)	)	PUNCT
cana-3844	383	6	>	>	X
cana-3844	383	7	𝑌𝐵(𝑀𝐿𝐵	𝑌𝐵(𝑀𝐿𝐵	NUM
cana-3844	383	8	)	)	PUNCT
cana-3844	383	9	.	.	PUNCT
cana-3844	384	1	(	(	PUNCT
cana-3844	384	2	38	38	NUM
cana-3844	384	3	)	)	PUNCT
cana-3844	384	4	we	we	PRON
cana-3844	384	5	then	then	ADV
cana-3844	384	6	look	look	VERB
cana-3844	384	7	at	at	ADP
cana-3844	384	8	another	another	DET
cana-3844	384	9	example	example	NOUN
cana-3844	384	10	.	.	PUNCT
cana-3844	385	1	this	this	PRON
cana-3844	385	2	has	have	AUX
cana-3844	385	3	been	be	AUX
cana-3844	385	4	noted	note	VERB
cana-3844	385	5	that	that	SCONJ
cana-3844	385	6	neither	neither	CCONJ
cana-3844	385	7	any	any	DET
cana-3844	385	8	fim	fim	NOUN
cana-3844	385	9	adhere	adhere	VERB
cana-3844	385	10	to	to	ADP
cana-3844	385	11	the	the	DET
cana-3844	385	12	order	order	NOUN
cana-3844	385	13	provided	provide	VERB
cana-3844	385	14	in	in	ADP
cana-3844	385	15	eq	eq	ADP
cana-3844	385	16	.	.	PUNCT
cana-3844	386	1	(	(	PUNCT
cana-3844	386	2	34	34	NUM
cana-3844	386	3	)	)	PUNCT
cana-3844	386	4	,	,	PUNCT
cana-3844	386	5	and	and	CCONJ
cana-3844	386	6	nor	nor	CCONJ
cana-3844	386	7	any	any	DET
cana-3844	386	8	fkms	fkms	NOUN
cana-3844	386	9	satisfy	satisfy	NOUN
cana-3844	386	10	the	the	DET
cana-3844	386	11	order	order	NOUN
cana-3844	386	12	provided	provide	VERB
cana-3844	386	13	in	in	ADP
cana-3844	386	14	eq	eq	ADP
cana-3844	386	15	.	.	PUNCT
cana-3844	387	1	(	(	PUNCT
cana-3844	387	2	35	35	NUM
cana-3844	387	3	)	)	PUNCT
cana-3844	387	4	.	.	PUNCT
cana-3844	388	1	this	this	PRON
cana-3844	388	2	implies	imply	VERB
cana-3844	388	3	communications	communication	NOUN
cana-3844	388	4	on	on	ADP
cana-3844	388	5	applied	apply	VERB
cana-3844	388	6	nonlinear	nonlinear	ADJ
cana-3844	388	7	analysis	analysis	NOUN
cana-3844	388	8	issn	issn	NOUN
cana-3844	388	9	:	:	PUNCT
cana-3844	388	10	1074	1074	NUM
cana-3844	388	11	-	-	PUNCT
cana-3844	388	12	133x	133x	NUM
cana-3844	388	13	vol	vol	NOUN
cana-3844	388	14	32	32	NUM
cana-3844	388	15	no	no	NOUN
cana-3844	388	16	.	.	PUNCT
cana-3844	389	1	9s	9s	NUM
cana-3844	389	2	(	(	PUNCT
cana-3844	389	3	2025	2025	NUM
cana-3844	389	4	)	)	PUNCT
cana-3844	389	5	149	149	NUM
cana-3844	389	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	389	7	that	that	SCONJ
cana-3844	389	8	they	they	PRON
cana-3844	389	9	are	be	AUX
cana-3844	389	10	not	not	PART
cana-3844	389	11	particularly	particularly	ADV
cana-3844	389	12	accurate	accurate	ADJ
cana-3844	389	13	.	.	PUNCT
cana-3844	390	1	nonetheless	nonetheless	ADV
cana-3844	390	2	,	,	PUNCT
cana-3844	390	3	the	the	DET
cana-3844	390	4	sequence	sequence	NOUN
cana-3844	390	5	is	be	AUX
cana-3844	390	6	satisfied	satisfied	ADJ
cana-3844	390	7	by	by	ADP
cana-3844	390	8	the	the	DET
cana-3844	390	9	suggested	suggest	VERB
cana-3844	390	10	measure	measure	NOUN
cana-3844	390	11	𝑌𝐵(𝑄	𝑌𝐵(𝑄	NOUN
cana-3844	390	12	)	)	PUNCT
cana-3844	390	13	provided	provide	VERB
cana-3844	390	14	in	in	ADP
cana-3844	390	15	eq	eq	ADP
cana-3844	390	16	.	.	PUNCT
cana-3844	391	1	(	(	PUNCT
cana-3844	391	2	35	35	NUM
cana-3844	391	3	)	)	PUNCT
cana-3844	391	4	.	.	PUNCT
cana-3844	392	1	to	to	PART
cana-3844	392	2	do	do	VERB
cana-3844	392	3	this	this	PRON
cana-3844	392	4	,	,	PUNCT
cana-3844	392	5	we	we	PRON
cana-3844	392	6	use	use	VERB
cana-3844	392	7	an	an	DET
cana-3844	392	8	additional	additional	ADJ
cana-3844	392	9	fs	f	NOUN
cana-3844	392	10	provided	provide	VERB
cana-3844	392	11	by	by	ADP
cana-3844	392	12	𝑇	𝑇	PROPN
cana-3844	392	13	=	=	SYM
cana-3844	392	14	{	{	PUNCT
cana-3844	392	15	(	(	PUNCT
cana-3844	392	16	𝑠1	𝑠1	PROPN
cana-3844	392	17	,	,	PUNCT
cana-3844	392	18	0.1	0.1	NUM
cana-3844	392	19	)	)	PUNCT
cana-3844	392	20	,	,	PUNCT
cana-3844	392	21	(	(	PUNCT
cana-3844	392	22	𝑠2	𝑠2	NOUN
cana-3844	392	23	,	,	PUNCT
cana-3844	392	24	0.5	0.5	NUM
cana-3844	392	25	)	)	PUNCT
cana-3844	392	26	,	,	PUNCT
cana-3844	392	27	(	(	PUNCT
cana-3844	392	28	𝑠3	𝑠3	NOUN
cana-3844	392	29	,	,	PUNCT
cana-3844	392	30	0.6	0.6	NUM
cana-3844	392	31	)	)	PUNCT
cana-3844	392	32	,	,	PUNCT
cana-3844	392	33	(	(	PUNCT
cana-3844	392	34	𝑠4	𝑠4	PROPN
cana-3844	392	35	,	,	PUNCT
cana-3844	392	36	0.7	0.7	NUM
cana-3844	392	37	)	)	PUNCT
cana-3844	392	38	,	,	PUNCT
cana-3844	392	39	(	(	PUNCT
cana-3844	392	40	𝑠5	𝑠5	PROPN
cana-3844	392	41	,	,	PUNCT
cana-3844	392	42	0.9	0.9	NUM
cana-3844	392	43	)	)	PUNCT
cana-3844	392	44	}	}	PUNCT
cana-3844	392	45	.	.	PUNCT
cana-3844	393	1	(	(	PUNCT
cana-3844	393	2	39	39	NUM
cana-3844	393	3	)	)	PUNCT
cana-3844	393	4	the	the	DET
cana-3844	393	5	measures	measure	NOUN
cana-3844	393	6	’	'	PUNCT
cana-3844	393	7	calculated	calculate	VERB
cana-3844	393	8	values	value	NOUN
cana-3844	393	9	are	be	AUX
cana-3844	393	10	displayed	display	VERB
cana-3844	393	11	by	by	ADP
cana-3844	393	12	table	table	NOUN
cana-3844	393	13	3	3	NUM
cana-3844	393	14	.	.	PUNCT
cana-3844	393	15	table	table	NOUN
cana-3844	393	16	4	4	NUM
cana-3844	393	17	:	:	PUNCT
cana-3844	393	18	the	the	DET
cana-3844	393	19	values	value	NOUN
cana-3844	393	20	determined	determine	VERB
cana-3844	393	21	for	for	ADP
cana-3844	393	22	the	the	DET
cana-3844	393	23	different	different	ADJ
cana-3844	393	24	metrics	metric	NOUN
cana-3844	393	25	listed	list	VERB
cana-3844	393	26	in	in	ADP
cana-3844	393	27	eqs	eqs	PROPN
cana-3844	393	28	.	.	PUNCT
cana-3844	394	1	it	it	PRON
cana-3844	394	2	is	be	AUX
cana-3844	394	3	(	(	PUNCT
cana-3844	394	4	23	23	NUM
cana-3844	394	5	)	)	PUNCT
cana-3844	394	6	(	(	PUNCT
cana-3844	394	7	30	30	NUM
cana-3844	394	8	)	)	PUNCT
cana-3844	394	9	.	.	PUNCT
cana-3844	395	1	fuzzy	fuzzy	PROPN
cana-3844	395	2	set	set	VERB
cana-3844	395	3	↓	↓	PROPN
cana-3844	395	4	←	←	PROPN
cana-3844	395	5	different	different	ADJ
cana-3844	395	6	measures	measure	NOUN
cana-3844	395	7	→	→	PUNCT
cana-3844	395	8	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	395	9	1𝑌(𝑄	1𝑌(𝑄	PROPN
cana-3844	395	10	)	)	PUNCT
cana-3844	395	11	𝑅𝐾	𝑅𝐾	PROPN
cana-3844	395	12	1𝑌(𝑄	1𝑌(𝑄	NUM
cana-3844	395	13	)	)	PUNCT
cana-3844	395	14	𝑅𝑃𝑉(𝑄	𝑅𝑃𝑉(𝑄	NOUN
cana-3844	395	15	)	)	PUNCT
cana-3844	395	16	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	395	17	𝛽	𝛽	PROPN
cana-3844	395	18	(	(	PUNCT
cana-3844	395	19	𝑄	𝑄	PROPN
cana-3844	395	20	)	)	PUNCT
cana-3844	395	21	𝑌𝑂𝑌(𝑄	𝑌𝑂𝑌(𝑄	NUM
cana-3844	395	22	)	)	PUNCT
cana-3844	395	23	𝑌𝑃	𝑌𝑃	ADV
cana-3844	395	24	𝛽,𝛾	𝛽,𝛾	ADJ
cana-3844	395	25	(	(	PUNCT
cana-3844	395	26	𝑄	𝑄	PROPN
cana-3844	395	27	)	)	PUNCT
cana-3844	395	28	𝑌𝐵(𝑄	𝑌𝐵(𝑄	NOUN
cana-3844	395	29	)	)	PUNCT
cana-3844	395	30	mlb	mlb	NOUN
cana-3844	395	31	0.4197	0.4197	NUM
cana-3844	395	32	0.2656	0.2656	NUM
cana-3844	395	33	1.4119	1.4119	NUM
cana-3844	395	34	0.3333	0.3333	NUM
cana-3844	395	35	0.4575	0.4575	NUM
cana-3844	395	36	0.5931	0.5931	NUM
cana-3844	395	37	0.3525	0.3525	NUM
cana-3844	395	38	b	b	NOUN
cana-3844	395	39	0.5600	0.5600	NUM
cana-3844	395	40	0.3889	0.3889	NUM
cana-3844	395	41	1.4605	1.4605	NUM
cana-3844	395	42	0.2504	0.2504	NUM
cana-3844	395	43	0.3740	0.3740	NUM
cana-3844	395	44	0.5334	0.5334	NUM
cana-3844	395	45	0.6152	0.6152	NUM
cana-3844	395	46	vb	vb	NOUN
cana-3844	395	47	0.5200	0.5200	NUM
cana-3844	395	48	0.3513	0.3513	NUM
cana-3844	395	49	1.4348	1.4348	NUM
cana-3844	395	50	0.2914	0.2914	NUM
cana-3844	395	51	0.4165	0.4165	NUM
cana-3844	395	52	0.5582	0.5582	NUM
cana-3844	395	53	0.3985	0.3985	NUM
cana-3844	395	54	qvb	qvb	NOUN
cana-3844	395	55	0.3824	0.3824	NUM
cana-3844	395	56	0.2364	0.2364	NUM
cana-3844	395	57	1.3690	1.3690	NUM
cana-3844	395	58	0.4019	0.4019	NUM
cana-3844	395	59	0.5239	0.5239	NUM
cana-3844	395	60	0.6337	0.6337	NUM
cana-3844	395	61	0.5220	0.5220	NUM
cana-3844	395	62	vvb	vvb	NOUN
cana-3844	395	63	0.3104	0.3104	NUM
cana-3844	395	64	0.1837	0.1837	NUM
cana-3844	395	65	1.3051	1.3051	NUM
cana-3844	395	66	0.5070	0.5070	NUM
cana-3844	395	67	0.6194	0.6194	NUM
cana-3844	395	68	0.7002	0.7002	NUM
cana-3844	395	69	0.6113	0.6113	NUM
cana-3844	395	70	we	we	PRON
cana-3844	395	71	take	take	VERB
cana-3844	395	72	𝛽=1.5	𝛽=1.5	NOUN
cana-3844	395	73	for	for	ADP
cana-3844	395	74	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	395	75	𝛽	𝛽	PROPN
cana-3844	395	76	(	(	PUNCT
cana-3844	395	77	q	q	NOUN
cana-3844	395	78	)	)	PUNCT
cana-3844	395	79	,	,	PUNCT
cana-3844	395	80	and	and	CCONJ
cana-3844	395	81	𝛽=1.9	𝛽=1.9	ADV
cana-3844	395	82	,	,	PUNCT
cana-3844	395	83	𝛾=3.5	𝛾=3.5	NOUN
cana-3844	395	84	for	for	ADP
cana-3844	395	85	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	395	86	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	395	87	(	(	PUNCT
cana-3844	395	88	q	q	NOUN
cana-3844	395	89	)	)	PUNCT
cana-3844	395	90	.	.	PUNCT
cana-3844	396	1	the	the	DET
cana-3844	396	2	listed	list	VERB
cana-3844	396	3	observations	observation	NOUN
cana-3844	396	4	are	be	AUX
cana-3844	396	5	obtained	obtain	VERB
cana-3844	396	6	from	from	ADP
cana-3844	396	7	table	table	NOUN
cana-3844	396	8	3	3	NUM
cana-3844	396	9	:	:	PUNCT
cana-3844	396	10	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	396	11	1𝑌(𝑉𝑉𝐵	1𝑌(𝑉𝑉𝐵	NUM
cana-3844	396	12	)	)	PUNCT
cana-3844	397	1	<	<	X
cana-3844	397	2	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	397	3	1𝑌(𝑄𝑉𝐵	1𝑌(𝑄𝑉𝐵	NOUN
cana-3844	397	4	)	)	PUNCT
cana-3844	398	1	<	<	X
cana-3844	398	2	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	398	3	1𝑌(𝑉𝐵	1𝑌(𝑉𝐵	PROPN
cana-3844	398	4	)	)	PUNCT
cana-3844	398	5	<	<	X
cana-3844	398	6	𝑅𝐻	𝑅𝐻	PROPN
cana-3844	398	7	1𝑌(𝐵)𝐻𝑌	1𝑌(𝐵)𝐻𝑌	NUM
cana-3844	398	8	1(𝑀𝐿𝐵	1(𝑀𝐿𝐵	NUM
cana-3844	398	9	)	)	PUNCT
cana-3844	398	10	;	;	PUNCT
cana-3844	398	11	𝑅𝐾	𝑅𝐾	PROPN
cana-3844	398	12	1𝑌(𝑉𝑉𝐵	1𝑌(𝑉𝑉𝐵	NUM
cana-3844	398	13	)	)	PUNCT
cana-3844	398	14	<	<	X
cana-3844	398	15	𝑅𝐾	𝑅𝐾	PRON
cana-3844	398	16	1𝑌(𝑄𝑉𝐵	1𝑌(𝑄𝑉𝐵	NOUN
cana-3844	398	17	)	)	PUNCT
cana-3844	398	18	<	<	X
cana-3844	398	19	𝑅𝐾	𝑅𝐾	PROPN
cana-3844	398	20	1𝑌(𝑉𝐵	1𝑌(𝑉𝐵	NUM
cana-3844	398	21	)	)	PUNCT
cana-3844	398	22	<	<	X
cana-3844	398	23	𝑅𝐾	𝑅𝐾	PROPN
cana-3844	398	24	1𝑌(𝐵	1𝑌(𝐵	NUM
cana-3844	398	25	)	)	PUNCT
cana-3844	398	26	<	<	X
cana-3844	398	27	𝑅𝐾	𝑅𝐾	PROPN
cana-3844	398	28	1𝑌(𝑀𝐿𝐵	1𝑌(𝑀𝐿𝐵	NUM
cana-3844	398	29	)	)	PUNCT
cana-3844	398	30	;	;	PUNCT
cana-3844	398	31	𝑅𝑃𝑉(𝑉𝑉𝐵	𝑅𝑃𝑉(𝑉𝑉𝐵	X
cana-3844	398	32	)	)	PUNCT
cana-3844	398	33	<	<	X
cana-3844	398	34	𝑅𝑃𝑉(𝑄𝑉𝐵	𝑅𝑃𝑉(𝑄𝑉𝐵	NOUN
cana-3844	398	35	)	)	PUNCT
cana-3844	398	36	<	<	X
cana-3844	398	37	𝑅𝑃𝑉(𝑉𝐵	𝑅𝑃𝑉(𝑉𝐵	NUM
cana-3844	398	38	)	)	PUNCT
cana-3844	398	39	<	<	X
cana-3844	398	40	𝑅𝑃𝑉(𝐵	𝑅𝑃𝑉(𝐵	NOUN
cana-3844	398	41	)	)	PUNCT
cana-3844	398	42	>	>	X
cana-3844	398	43	𝑅𝑃𝑉(𝑀𝐿𝐵	𝑅𝑃𝑉(𝑀𝐿𝐵	PROPN
cana-3844	398	44	)	)	PUNCT
cana-3844	398	45	;	;	PUNCT
cana-3844	398	46	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	398	47	𝛽	𝛽	PROPN
cana-3844	398	48	(	(	PUNCT
cana-3844	398	49	𝑉𝑉𝐵	𝑉𝑉𝐵	PROPN
cana-3844	398	50	)	)	PUNCT
cana-3844	398	51	>	>	PUNCT
cana-3844	398	52	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	398	53	𝛽	𝛽	PROPN
cana-3844	398	54	(	(	PUNCT
cana-3844	398	55	𝑄𝑉𝐵	𝑄𝑉𝐵	PROPN
cana-3844	398	56	)	)	PUNCT
cana-3844	398	57	>	>	PUNCT
cana-3844	399	1	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	399	2	𝛽	𝛽	PROPN
cana-3844	399	3	(	(	PUNCT
cana-3844	399	4	𝑉𝐵	𝑉𝐵	PROPN
cana-3844	399	5	)	)	PUNCT
cana-3844	399	6	>	>	PUNCT
cana-3844	400	1	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	400	2	𝛽	𝛽	PROPN
cana-3844	400	3	(	(	PUNCT
cana-3844	400	4	𝐵	𝐵	NOUN
cana-3844	400	5	)	)	PUNCT
cana-3844	400	6	<	<	X
cana-3844	400	7	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	400	8	𝛽	𝛽	PROPN
cana-3844	400	9	(	(	PUNCT
cana-3844	400	10	𝑀𝐿𝐵	𝑀𝐿𝐵	PROPN
cana-3844	400	11	)	)	PUNCT
cana-3844	400	12	;	;	PUNCT
cana-3844	400	13	𝑌𝑂𝑌(𝑉𝑉𝐵	𝑌𝑂𝑌(𝑉𝑉𝐵	X
cana-3844	400	14	)	)	PUNCT
cana-3844	400	15	>	>	PUNCT
cana-3844	401	1	𝑌𝑂𝑌(𝑄𝑉𝐵	𝑌𝑂𝑌(𝑄𝑉𝐵	NOUN
cana-3844	401	2	)	)	PUNCT
cana-3844	401	3	>	>	X
cana-3844	402	1	𝑌𝑂𝑌(𝑉𝐵	𝑌𝑂𝑌(𝑉𝐵	NUM
cana-3844	402	2	)	)	PUNCT
cana-3844	402	3	>	>	X
cana-3844	403	1	𝑌𝑂𝑌(𝐵	𝑌𝑂𝑌(𝐵	PROPN
cana-3844	403	2	)	)	PUNCT
cana-3844	403	3	<	<	X
cana-3844	403	4	𝑌𝑂𝑌(𝑀𝐿𝐵	𝑌𝑂𝑌(𝑀𝐿𝐵	NOUN
cana-3844	403	5	)	)	PUNCT
cana-3844	403	6	;	;	PUNCT
cana-3844	403	7	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	403	8	𝛽,𝛾	𝛽,𝛾	ADJ
cana-3844	403	9	(	(	PUNCT
cana-3844	403	10	𝑉𝑉𝐵	𝑉𝑉𝐵	PROPN
cana-3844	403	11	)	)	PUNCT
cana-3844	403	12	>	>	PUNCT
cana-3844	403	13	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	403	14	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	403	15	(	(	PUNCT
cana-3844	403	16	𝑄𝑉𝐵	𝑄𝑉𝐵	PROPN
cana-3844	403	17	)	)	PUNCT
cana-3844	403	18	>	>	PUNCT
cana-3844	404	1	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	404	2	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	404	3	(	(	PUNCT
cana-3844	404	4	𝑉𝐵	𝑉𝐵	PROPN
cana-3844	404	5	)	)	PUNCT
cana-3844	404	6	>	>	PUNCT
cana-3844	405	1	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	405	2	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	405	3	(	(	PUNCT
cana-3844	405	4	𝐵	𝐵	NOUN
cana-3844	405	5	)	)	PUNCT
cana-3844	405	6	<	<	X
cana-3844	405	7	𝑌𝑃	𝑌𝑃	PROPN
cana-3844	405	8	𝛽,𝛾	𝛽,𝛾	PROPN
cana-3844	405	9	(	(	PUNCT
cana-3844	405	10	𝑀𝐿𝐵	𝑀𝐿𝐵	PROPN
cana-3844	405	11	)	)	PUNCT
cana-3844	405	12	;	;	PUNCT
cana-3844	405	13	𝑌𝐵(𝑉𝑉𝐵	𝑌𝐵(𝑉𝑉𝐵	PROPN
cana-3844	405	14	)	)	PUNCT
cana-3844	405	15	>	>	X
cana-3844	405	16	𝑌𝐵(𝑄𝑉𝐵	𝑌𝐵(𝑄𝑉𝐵	NUM
cana-3844	405	17	)	)	PUNCT
cana-3844	405	18	>	>	X
cana-3844	406	1	𝑌𝐵(𝑉𝐵	𝑌𝐵(𝑉𝐵	PROPN
cana-3844	406	2	)	)	PUNCT
cana-3844	406	3	>	>	X
cana-3844	406	4	𝑌𝐵(𝐵	𝑌𝐵(𝐵	PROPN
cana-3844	406	5	)	)	PUNCT
cana-3844	406	6	>	>	X
cana-3844	406	7	𝑌𝐵(𝑀𝐿𝐵	𝑌𝐵(𝑀𝐿𝐵	NUM
cana-3844	406	8	)	)	PUNCT
cana-3844	406	9	.	.	PUNCT
cana-3844	407	1	(	(	PUNCT
cana-3844	407	2	40	40	NUM
cana-3844	407	3	)	)	PUNCT
cana-3844	407	4	with	with	ADP
cana-3844	407	5	the	the	DET
cana-3844	407	6	exception	exception	NOUN
cana-3844	407	7	of	of	ADP
cana-3844	407	8	the	the	DET
cana-3844	407	9	suggested	suggest	VERB
cana-3844	407	10	one	one	NUM
cana-3844	407	11	,	,	PUNCT
cana-3844	407	12	there	there	PRON
cana-3844	407	13	are	be	VERB
cana-3844	407	14	no	no	DET
cana-3844	407	15	fkms	fkms	NOUN
cana-3844	407	16	that	that	PRON
cana-3844	407	17	meet	meet	VERB
cana-3844	407	18	the	the	DET
cana-3844	407	19	specified	specified	ADJ
cana-3844	407	20	order	order	NOUN
cana-3844	407	21	in	in	ADP
cana-3844	407	22	eq	eq	ADP
cana-3844	407	23	.	.	PUNCT
cana-3844	408	1	(	(	PUNCT
cana-3844	408	2	35	35	NUM
cana-3844	408	3	)	)	PUNCT
cana-3844	408	4	,	,	PUNCT
cana-3844	408	5	and	and	CCONJ
cana-3844	408	6	this	this	PRON
cana-3844	408	7	is	be	AUX
cana-3844	408	8	now	now	ADV
cana-3844	408	9	seen	see	VERB
cana-3844	408	10	that	that	SCONJ
cana-3844	408	11	fims	fims	PROPN
cana-3844	408	12	𝐻𝑌	𝐻𝑌	PROPN
cana-3844	408	13	1(𝑇	1(𝑇	NUM
cana-3844	408	14	)	)	PUNCT
cana-3844	408	15	and	and	CCONJ
cana-3844	408	16	𝐻𝐾	𝐻𝐾	PROPN
cana-3844	408	17	1(𝑇	1(𝑇	NUM
cana-3844	408	18	)	)	PUNCT
cana-3844	408	19	follow	follow	VERB
cana-3844	408	20	the	the	DET
cana-3844	408	21	sequence	sequence	NOUN
cana-3844	408	22	stated	state	VERB
cana-3844	408	23	in	in	ADP
cana-3844	408	24	eq	eq	PROPN
cana-3844	408	25	.	.	PUNCT
cana-3844	409	1	(	(	PUNCT
cana-3844	409	2	34	34	NUM
cana-3844	409	3	)	)	PUNCT
cana-3844	409	4	.	.	PUNCT
cana-3844	410	1	consequently	consequently	ADV
cana-3844	410	2	,	,	PUNCT
cana-3844	410	3	km	km	PROPN
cana-3844	410	4	’s	’s	PART
cana-3844	410	5	efficacy	efficacy	NOUN
cana-3844	410	6	is	be	AUX
cana-3844	410	7	astounding	astounding	ADJ
cana-3844	410	8	.	.	PUNCT
cana-3844	411	1	3.4	3.4	NUM
cana-3844	411	2	proposed	propose	VERB
cana-3844	411	3	fuzzy	fuzzy	ADJ
cana-3844	411	4	knowledge	knowledge	NOUN
cana-3844	411	5	measure	measure	NOUN
cana-3844	411	6	for	for	ADP
cana-3844	411	7	the	the	DET
cana-3844	411	8	enhancement	enhancement	NOUN
cana-3844	411	9	of	of	ADP
cana-3844	411	10	new	new	ADJ
cana-3844	411	11	information	information	NOUN
cana-3844	411	12	measure	measure	NOUN
cana-3844	411	13	we	we	PRON
cana-3844	411	14	introduced	introduce	VERB
cana-3844	411	15	a	a	DET
cana-3844	411	16	fim	fim	NOUN
cana-3844	411	17	in	in	ADP
cana-3844	411	18	this	this	DET
cana-3844	411	19	part	part	NOUN
cana-3844	411	20	based	base	VERB
cana-3844	411	21	on	on	ADP
cana-3844	411	22	the	the	DET
cana-3844	411	23	suggested	suggest	VERB
cana-3844	411	24	fkm	fkm	PROPN
cana-3844	411	25	𝑌𝐵(q	𝑌𝐵(q	PROPN
cana-3844	411	26	)	)	PUNCT
cana-3844	411	27	.	.	PUNCT
cana-3844	412	1	examine	examine	VERB
cana-3844	412	2	the	the	DET
cana-3844	412	3	following	follow	VERB
cana-3844	412	4	fuzzy	fuzzy	ADJ
cana-3844	412	5	information	information	NOUN
cana-3844	412	6	measure	measure	NOUN
cana-3844	412	7	:	:	PUNCT
cana-3844	412	8	(	(	PUNCT
cana-3844	412	9	𝐹𝐼𝑀	𝐹𝐼𝑀	PROPN
cana-3844	412	10	)	)	PUNCT
cana-3844	412	11	.	.	PUNCT
cana-3844	413	1	communications	communication	NOUN
cana-3844	413	2	on	on	ADP
cana-3844	413	3	applied	apply	VERB
cana-3844	413	4	nonlinear	nonlinear	ADJ
cana-3844	413	5	analysis	analysis	NOUN
cana-3844	413	6	issn	issn	NOUN
cana-3844	413	7	:	:	PUNCT
cana-3844	413	8	1074	1074	NUM
cana-3844	413	9	-	-	PUNCT
cana-3844	413	10	133x	133x	NUM
cana-3844	413	11	vol	vol	NOUN
cana-3844	413	12	32	32	NUM
cana-3844	413	13	no	no	NOUN
cana-3844	413	14	.	.	PUNCT
cana-3844	414	1	9s	9s	NUM
cana-3844	414	2	(	(	PUNCT
cana-3844	414	3	2025	2025	NUM
cana-3844	414	4	)	)	PUNCT
cana-3844	414	5	150	150	NUM
cana-3844	414	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	414	7	𝐹𝐼𝑀(𝑄	𝐹𝐼𝑀(𝑄	NOUN
cana-3844	414	8	)	)	PUNCT
cana-3844	414	9	=	=	SYM
cana-3844	415	1	1	1	NUM
cana-3844	415	2	−	−	NUM
cana-3844	415	3	𝑌𝐵(𝑄	𝑌𝐵(𝑄	NOUN
cana-3844	415	4	)	)	PUNCT
cana-3844	415	5	,	,	PUNCT
cana-3844	415	6	=	=	NOUN
cana-3844	415	7	1	1	NUM
cana-3844	415	8	−	−	PROPN
cana-3844	415	9	(	(	PUNCT
cana-3844	415	10	√8	√8	NOUN
cana-3844	415	11	3	3	NUM
cana-3844	415	12	−1	−1	NOUN
cana-3844	415	13	)	)	PUNCT
cana-3844	415	14	−1	−1	NOUN
cana-3844	416	1	𝑘	𝑘	NOUN
cana-3844	416	2	∑𝑘𝑖=1	∑𝑘𝑖=1	PROPN
cana-3844	417	1	[	[	X
cana-3844	417	2	√8	√8	X
cana-3844	417	3	(	(	PUNCT
cana-3844	417	4	(	(	PUNCT
cana-3844	417	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	417	6	)	)	PUNCT
cana-3844	417	7	)	)	PUNCT
cana-3844	417	8	4	4	NUM
cana-3844	418	1	+	+	CCONJ
cana-3844	418	2	(	(	PUNCT
cana-3844	418	3	1	1	NUM
cana-3844	418	4	−	−	NOUN
cana-3844	418	5	𝜇𝑄(𝑝𝑖	𝜇𝑄(𝑝𝑖	NOUN
cana-3844	418	6	)	)	PUNCT
cana-3844	418	7	)	)	PUNCT
cana-3844	418	8	4	4	NUM
cana-3844	418	9	)	)	PUNCT
cana-3844	418	10	3	3	NUM
cana-3844	418	11	−	−	PROPN
cana-3844	418	12	1	1	NUM
cana-3844	418	13	]	]	PUNCT
cana-3844	418	14	.	.	PUNCT
cana-3844	419	1	(	(	PUNCT
cana-3844	419	2	41	41	NUM
cana-3844	419	3	)	)	PUNCT
cana-3844	419	4	now	now	ADV
cana-3844	419	5	,	,	PUNCT
cana-3844	419	6	it	it	PRON
cana-3844	419	7	is	be	AUX
cana-3844	419	8	clear	clear	ADJ
cana-3844	419	9	that	that	SCONJ
cana-3844	419	10	the	the	DET
cana-3844	419	11	fim	fim	NOUN
cana-3844	419	12	provided	provide	VERB
cana-3844	419	13	in	in	ADP
cana-3844	419	14	eq	eq	ADP
cana-3844	419	15	.	.	PUNCT
cana-3844	420	1	(	(	PUNCT
cana-3844	420	2	41	41	NUM
cana-3844	420	3	)	)	PUNCT
cana-3844	420	4	is	be	AUX
cana-3844	420	5	legitimate	legitimate	ADJ
cana-3844	420	6	fim	fim	NOUN
cana-3844	420	7	.	.	PUNCT
cana-3844	421	1	theorem	theorem	NOUN
cana-3844	421	2	3	3	NUM
cana-3844	421	3	the	the	DET
cana-3844	421	4	following	follow	VERB
cana-3844	421	5	characteristics	characteristic	NOUN
cana-3844	421	6	are	be	AUX
cana-3844	421	7	satisfied	satisfied	ADJ
cana-3844	421	8	by	by	ADP
cana-3844	421	9	the	the	DET
cana-3844	421	10	suggested	suggest	VERB
cana-3844	421	11	fuzzy	fuzzy	ADJ
cana-3844	421	12	information	information	NOUN
cana-3844	421	13	measure	measure	NOUN
cana-3844	421	14	in	in	ADP
cana-3844	421	15	eq	eq	ADP
cana-3844	421	16	.	.	PUNCT
cana-3844	422	1	(	(	PUNCT
cana-3844	422	2	41	41	NUM
cana-3844	422	3	):	):	PUNCT
cana-3844	422	4	•	•	NOUN
cana-3844	422	5	0	0	NUM
cana-3844	422	6	≤	≤	NUM
cana-3844	422	7	𝐹𝐼𝑀𝑠(𝑄	𝐹𝐼𝑀𝑠(𝑄	NOUN
cana-3844	422	8	)	)	PUNCT
cana-3844	422	9	≤	≤	NUM
cana-3844	423	1	1	1	NUM
cana-3844	423	2	.	.	NOUN
cana-3844	423	3	•	•	NUM
cana-3844	423	4	𝐹𝐼𝑀𝑠(𝑄	𝐹𝐼𝑀𝑠(𝑄	NUM
cana-3844	423	5	)	)	PUNCT
cana-3844	423	6	=	=	SYM
cana-3844	424	1	1	1	NUM
cana-3844	424	2	iff	iff	PROPN
cana-3844	424	3	q	q	PROPN
cana-3844	424	4	defined	define	VERB
cana-3844	424	5	as	as	ADP
cana-3844	424	6	the	the	DET
cana-3844	424	7	most	most	ADV
cana-3844	424	8	fuzzy	fuzzy	ADJ
cana-3844	424	9	set	set	NOUN
cana-3844	424	10	.	.	PUNCT
cana-3844	424	11	•	•	NUM
cana-3844	424	12	𝐹𝐼𝑀𝑠(𝑄	𝐹𝐼𝑀𝑠(𝑄	NUM
cana-3844	424	13	)	)	PUNCT
cana-3844	424	14	=	=	SYM
cana-3844	424	15	0	0	NUM
cana-3844	425	1	iff	iff	PROPN
cana-3844	425	2	q	q	NOUN
cana-3844	425	3	is	be	AUX
cana-3844	425	4	unambiguous	unambiguous	ADJ
cana-3844	425	5	fuzzy	fuzzy	ADJ
cana-3844	425	6	set	set	NOUN
cana-3844	425	7	.	.	PUNCT
cana-3844	426	1	•	•	NUM
cana-3844	426	2	𝐹𝐼𝑀𝑠(𝑄	𝐹𝐼𝑀𝑠(𝑄	NUM
cana-3844	426	3	)	)	PUNCT
cana-3844	427	1	=	=	SYM
cana-3844	427	2	𝐹𝐼𝑀𝑠(𝑄𝑗	𝐹𝐼𝑀𝑠(𝑄𝑗	PROPN
cana-3844	427	3	)	)	PUNCT
cana-3844	427	4	.	.	PUNCT
cana-3844	428	1	here	here	ADV
cana-3844	428	2	𝑄𝑗	𝑄𝑗	PROPN
cana-3844	428	3	is	be	AUX
cana-3844	428	4	defined	define	VERB
cana-3844	428	5	as	as	ADP
cana-3844	428	6	the	the	DET
cana-3844	428	7	complement	complement	NOUN
cana-3844	428	8	of	of	ADP
cana-3844	428	9	any	any	DET
cana-3844	428	10	fuzzy	fuzzy	ADJ
cana-3844	428	11	set	set	NOUN
cana-3844	428	12	q	q	NOUN
cana-3844	428	13	in	in	ADP
cana-3844	428	14	fs(p	fs(p	NOUN
cana-3844	428	15	)	)	PUNCT
cana-3844	428	16	.	.	PUNCT
cana-3844	429	1	proof	proof	NOUN
cana-3844	429	2	.	.	PUNCT
cana-3844	430	1	the	the	DET
cana-3844	430	2	fim	fim	NOUN
cana-3844	430	3	described	describe	VERB
cana-3844	430	4	in	in	ADP
cana-3844	430	5	eq	eq	ADP
cana-3844	430	6	.	.	PUNCT
cana-3844	431	1	(	(	PUNCT
cana-3844	431	2	41	41	NUM
cana-3844	431	3	)	)	PUNCT
cana-3844	431	4	clearly	clearly	ADV
cana-3844	431	5	satisfies	satisfy	VERB
cana-3844	431	6	each	each	PRON
cana-3844	431	7	of	of	ADP
cana-3844	431	8	these	these	DET
cana-3844	431	9	requirements	requirement	NOUN
cana-3844	431	10	.	.	PUNCT
cana-3844	432	1	4	4	NUM
cana-3844	432	2	application	application	NOUN
cana-3844	432	3	of	of	ADP
cana-3844	432	4	fkm	fkm	NOUN
cana-3844	432	5	for	for	ADP
cana-3844	432	6	solving	solve	VERB
cana-3844	432	7	mcdm	mcdm	ADJ
cana-3844	432	8	problems	problem	NOUN
cana-3844	432	9	.	.	PUNCT
cana-3844	433	1	the	the	DET
cana-3844	433	2	potential	potential	ADJ
cana-3844	433	3	uses	use	NOUN
cana-3844	433	4	of	of	ADP
cana-3844	433	5	the	the	DET
cana-3844	433	6	recommended	recommend	VERB
cana-3844	433	7	km	km	NOUN
cana-3844	433	8	within	within	ADP
cana-3844	433	9	the	the	DET
cana-3844	433	10	mcdm	mcdm	ADJ
cana-3844	433	11	scenarios	scenario	NOUN
cana-3844	433	12	are	be	AUX
cana-3844	433	13	presented	present	VERB
cana-3844	433	14	in	in	ADP
cana-3844	433	15	this	this	DET
cana-3844	433	16	section	section	NOUN
cana-3844	433	17	.	.	PUNCT
cana-3844	434	1	mcdm	mcdm	PROPN
cana-3844	434	2	is	be	AUX
cana-3844	434	3	a	a	DET
cana-3844	434	4	technique	technique	NOUN
cana-3844	434	5	for	for	ADP
cana-3844	434	6	selecting	select	VERB
cana-3844	434	7	the	the	DET
cana-3844	434	8	best	good	ADJ
cana-3844	434	9	option	option	NOUN
cana-3844	434	10	out	out	ADP
cana-3844	434	11	of	of	ADP
cana-3844	434	12	all	all	DET
cana-3844	434	13	those	those	PRON
cana-3844	434	14	available	available	ADJ
cana-3844	434	15	.	.	PUNCT
cana-3844	435	1	numerous	numerous	ADJ
cana-3844	435	2	real	real	ADJ
cana-3844	435	3	-	-	PUNCT
cana-3844	435	4	world	world	NOUN
cana-3844	435	5	problems	problem	NOUN
cana-3844	435	6	are	be	AUX
cana-3844	435	7	described	describe	VERB
cana-3844	435	8	using	use	VERB
cana-3844	435	9	a	a	DET
cana-3844	435	10	variety	variety	NOUN
cana-3844	435	11	of	of	ADP
cana-3844	435	12	criteria	criterion	NOUN
cana-3844	435	13	.	.	PUNCT
cana-3844	436	1	the	the	DET
cana-3844	436	2	criteria	criterion	NOUN
cana-3844	436	3	for	for	ADP
cana-3844	436	4	this	this	DET
cana-3844	436	5	particular	particular	ADJ
cana-3844	436	6	design	design	NOUN
cana-3844	436	7	are	be	AUX
cana-3844	436	8	as	as	SCONJ
cana-3844	436	9	follows	follow	VERB
cana-3844	436	10	:	:	PUNCT
cana-3844	436	11	•	•	NUM
cana-3844	436	12	collection	collection	NOUN
cana-3844	436	13	of	of	ADP
cana-3844	436	14	alternatives	alternative	NOUN
cana-3844	436	15	.	.	PUNCT
cana-3844	437	1	•	•	NUM
cana-3844	437	2	collection	collection	NOUN
cana-3844	437	3	of	of	ADP
cana-3844	437	4	decision	decision	NOUN
cana-3844	437	5	criteria	criterion	NOUN
cana-3844	437	6	(	(	PUNCT
cana-3844	437	7	attributes	attribute	NOUN
cana-3844	437	8	)	)	PUNCT
cana-3844	437	9	.	.	PUNCT
cana-3844	438	1	•	•	NUM
cana-3844	438	2	weights	weight	NOUN
cana-3844	438	3	for	for	ADP
cana-3844	438	4	criteria	criterion	NOUN
cana-3844	438	5	and	and	CCONJ
cana-3844	438	6	attributes	attribute	NOUN
cana-3844	438	7	.	.	PUNCT
cana-3844	439	1	•	•	NUM
cana-3844	439	2	factors	factor	NOUN
cana-3844	439	3	that	that	PRON
cana-3844	439	4	could	could	AUX
cana-3844	439	5	influence	influence	VERB
cana-3844	439	6	each	each	DET
cana-3844	439	7	alternative	alternative	NOUN
cana-3844	439	8	’s	’s	PART
cana-3844	439	9	rank	rank	NOUN
cana-3844	439	10	of	of	ADP
cana-3844	439	11	preference	preference	NOUN
cana-3844	439	12	.	.	PUNCT
cana-3844	440	1	4.1	4.1	NUM
cana-3844	440	2	the	the	DET
cana-3844	440	3	commenced	commence	VERB
cana-3844	440	4	approach	approach	NOUN
cana-3844	440	5	take	take	VERB
cana-3844	440	6	an	an	DET
cana-3844	440	7	mcdm	mcdm	ADJ
cana-3844	440	8	problem	problem	NOUN
cana-3844	440	9	where	where	SCONJ
cana-3844	440	10	the	the	DET
cana-3844	440	11	grouping	grouping	NOUN
cana-3844	440	12	of	of	ADP
cana-3844	440	13	all	all	DET
cana-3844	440	14	the	the	DET
cana-3844	440	15	attributes	attribute	NOUN
cana-3844	440	16	is	be	AUX
cana-3844	440	17	represented	represent	VERB
cana-3844	440	18	by	by	ADP
cana-3844	440	19	𝐵𝑇	𝐵𝑇	PROPN
cana-3844	440	20	=	=	SYM
cana-3844	440	21	{	{	PUNCT
cana-3844	440	22	𝑁𝑗|1	𝑁𝑗|1	NOUN
cana-3844	440	23	≤	≤	NUM
cana-3844	440	24	𝑗	𝑗	PRON
cana-3844	440	25	≤	≤	X
cana-3844	440	26	𝑞	𝑞	X
cana-3844	440	27	}	}	PUNCT
cana-3844	440	28	and	and	CCONJ
cana-3844	440	29	the	the	DET
cana-3844	440	30	group	group	NOUN
cana-3844	440	31	of	of	ADP
cana-3844	440	32	all	all	DET
cana-3844	440	33	alternatives	alternative	NOUN
cana-3844	440	34	is	be	AUX
cana-3844	440	35	represented	represent	VERB
cana-3844	440	36	by	by	ADP
cana-3844	440	37	𝐵𝐿	𝐵𝐿	PROPN
cana-3844	440	38	=	=	SYM
cana-3844	440	39	{	{	PUNCT
cana-3844	440	40	𝐶𝑖|1	𝐶𝑖|1	PROPN
cana-3844	440	41	≤	≤	PROPN
cana-3844	440	42	𝑖	𝑖	SYM
cana-3844	440	43	≤	≤	PROPN
cana-3844	440	44	𝑝	𝑝	NOUN
cana-3844	440	45	}	}	PUNCT
cana-3844	440	46	.	.	PUNCT
cana-3844	441	1	let	let	VERB
cana-3844	441	2	the	the	DET
cana-3844	441	3	collection	collection	NOUN
cana-3844	441	4	of	of	ADP
cana-3844	441	5	invited	invite	VERB
cana-3844	441	6	experts	expert	NOUN
cana-3844	441	7	be	be	AUX
cana-3844	441	8	represented	represent	VERB
cana-3844	441	9	by	by	ADP
cana-3844	441	10	f={𝐹𝑣|1	f={𝐹𝑣|1	NOUN
cana-3844	441	11	≤	≤	NOUN
cana-3844	441	12	𝑣	𝑣	ADP
cana-3844	441	13	≤	≤	NUM
cana-3844	441	14	𝑛	𝑛	NOUN
cana-3844	441	15	}	}	PUNCT
cana-3844	441	16	.	.	PUNCT
cana-3844	442	1	let	let	VERB
cana-3844	442	2	’s	’s	NOUN
cana-3844	442	3	think	think	VERB
cana-3844	442	4	about	about	ADP
cana-3844	442	5	𝐹𝑌	𝐹𝑌	PROPN
cana-3844	442	6	=	=	SYM
cana-3844	442	7	{	{	PUNCT
cana-3844	442	8	𝐹𝑌1	𝐹𝑌1	PROPN
cana-3844	442	9	,	,	PUNCT
cana-3844	442	10	𝐹𝑌2	𝐹𝑌2	PROPN
cana-3844	442	11	,	,	PUNCT
cana-3844	442	12	…	…	PUNCT
cana-3844	442	13	,	,	PUNCT
cana-3844	442	14	𝐹𝑌𝑞	𝐹𝑌𝑞	NOUN
cana-3844	442	15	}	}	PUNCT
cana-3844	442	16	denotes	denote	VERB
cana-3844	442	17	the	the	DET
cana-3844	442	18	attribute	attribute	NOUN
cana-3844	442	19	weight	weight	NOUN
cana-3844	442	20	vectors	vector	NOUN
cana-3844	442	21	.	.	PUNCT
cana-3844	443	1	∑𝑞𝑗=1	∑𝑞𝑗=1	PRON
cana-3844	443	2	𝐹𝑌𝑗	𝐹𝑌𝑗	NOUN
cana-3844	443	3	=	=	SYM
cana-3844	443	4	1	1	X
cana-3844	443	5	.	.	PUNCT
cana-3844	443	6	s.t	s.t	PROPN
cana-3844	443	7	.	.	PUNCT
cana-3844	444	1	𝐴𝑗	𝐴𝑗	ADV
cana-3844	444	2	following	follow	VERB
cana-3844	444	3	the	the	DET
cana-3844	444	4	receipt	receipt	NOUN
cana-3844	444	5	of	of	ADP
cana-3844	444	6	expert	expert	ADJ
cana-3844	444	7	questionnaire	questionnaire	NOUN
cana-3844	444	8	replies	reply	NOUN
cana-3844	444	9	,	,	PUNCT
cana-3844	444	10	we	we	PRON
cana-3844	444	11	may	may	AUX
cana-3844	444	12	create	create	VERB
cana-3844	444	13	the	the	DET
cana-3844	444	14	fuzzy	fuzzy	ADJ
cana-3844	444	15	environment	environment	NOUN
cana-3844	444	16	decision	decision	NOUN
cana-3844	444	17	matrix	matrix	NOUN
cana-3844	444	18	as	as	SCONJ
cana-3844	444	19	follows	follow	VERB
cana-3844	444	20	:	:	PUNCT
cana-3844	444	21	allow	allow	VERB
cana-3844	444	22	a	a	DET
cana-3844	444	23	total	total	NOUN
cana-3844	444	24	of	of	ADP
cana-3844	444	25	’	'	PUNCT
cana-3844	444	26	n	n	CCONJ
cana-3844	444	27	’	'	PUNCT
cana-3844	444	28	experts	expert	NOUN
cana-3844	444	29	to	to	PART
cana-3844	444	30	be	be	AUX
cana-3844	444	31	present	present	ADJ
cana-3844	444	32	in	in	ADP
cana-3844	444	33	order	order	NOUN
cana-3844	444	34	to	to	PART
cana-3844	444	35	make	make	VERB
cana-3844	444	36	a	a	DET
cana-3844	444	37	decision	decision	NOUN
cana-3844	444	38	.	.	PUNCT
cana-3844	445	1	the	the	DET
cana-3844	445	2	formula	formula	NOUN
cana-3844	445	3	determines	determine	VERB
cana-3844	445	4	the	the	DET
cana-3844	445	5	membership	membership	NOUN
cana-3844	445	6	degrees	degree	VERB
cana-3844	445	7	𝑣𝑖𝑗	𝑣𝑖𝑗	NUM
cana-3844	445	8	if	if	SCONJ
cana-3844	445	9	𝑝𝑖𝑗	𝑝𝑖𝑗	PROPN
cana-3844	445	10	is	be	AUX
cana-3844	445	11	the	the	DET
cana-3844	445	12	number	number	NOUN
cana-3844	445	13	of	of	ADP
cana-3844	445	14	experts	expert	NOUN
cana-3844	445	15	who	who	PRON
cana-3844	445	16	support	support	VERB
cana-3844	445	17	a	a	DET
cana-3844	445	18	certain	certain	ADJ
cana-3844	445	19	option	option	NOUN
cana-3844	446	1	𝑀𝑖	𝑀𝑖	PROPN
cana-3844	446	2	according	accord	VERB
cana-3844	446	3	to	to	ADP
cana-3844	446	4	criteria	criterion	NOUN
cana-3844	446	5	𝑁𝑗.	𝑁𝑗.	PROPN
cana-3844	446	6	𝑣𝑖𝑗	𝑣𝑖𝑗	NUM
cana-3844	446	7	=	=	PUNCT
cana-3844	446	8	𝑝𝑖𝑗	𝑝𝑖𝑗	NOUN
cana-3844	446	9	𝑛	𝑛	INTJ
cana-3844	446	10	,	,	PUNCT
cana-3844	446	11	∀𝑖	∀𝑖	PROPN
cana-3844	446	12	=	=	SYM
cana-3844	446	13	1,2,3	1,2,3	NUM
cana-3844	446	14	,	,	PUNCT
cana-3844	446	15	…	…	PUNCT
cana-3844	446	16	,	,	PUNCT
cana-3844	446	17	𝑝	𝑝	NOUN
cana-3844	446	18	,	,	PUNCT
cana-3844	446	19	𝑗	𝑗	NOUN
cana-3844	446	20	=	=	NOUN
cana-3844	446	21	1,2,3	1,2,3	NUM
cana-3844	446	22	,	,	PUNCT
cana-3844	446	23	…	…	PUNCT
cana-3844	446	24	,	,	PUNCT
cana-3844	446	25	𝑞.	𝑞.	ADJ
cana-3844	446	26	communications	communication	NOUN
cana-3844	446	27	on	on	ADP
cana-3844	446	28	applied	apply	VERB
cana-3844	446	29	nonlinear	nonlinear	ADJ
cana-3844	446	30	analysis	analysis	NOUN
cana-3844	446	31	issn	issn	NOUN
cana-3844	446	32	:	:	PUNCT
cana-3844	446	33	1074	1074	NUM
cana-3844	446	34	-	-	PUNCT
cana-3844	446	35	133x	133x	NUM
cana-3844	446	36	vol	vol	NOUN
cana-3844	446	37	32	32	NUM
cana-3844	446	38	no	no	NOUN
cana-3844	446	39	.	.	PUNCT
cana-3844	447	1	9s	9s	NUM
cana-3844	447	2	(	(	PUNCT
cana-3844	447	3	2025	2025	NUM
cana-3844	447	4	)	)	PUNCT
cana-3844	447	5	151	151	NUM
cana-3844	447	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	447	7	table	table	NOUN
cana-3844	447	8	5	5	NUM
cana-3844	447	9	:	:	PUNCT
cana-3844	447	10	decision	decision	NOUN
cana-3844	447	11	matrix	matrix	NOUN
cana-3844	447	12	that	that	PRON
cana-3844	447	13	exist	exist	VERB
cana-3844	447	14	in	in	ADP
cana-3844	447	15	fuzzy	fuzzy	ADJ
cana-3844	447	16	environment	environment	NOUN
cana-3844	447	17	𝐷𝑝×𝑞.	𝐷𝑝×𝑞.	ADJ
cana-3844	447	18	𝐷𝑝×𝑞	𝐷𝑝×𝑞	PROPN
cana-3844	447	19	𝐴1	𝐴1	PROPN
cana-3844	447	20	𝐴2	𝐴2	NOUN
cana-3844	447	21	…	…	PUNCT
cana-3844	447	22	𝐴𝑞	𝐴𝑞	PROPN
cana-3844	447	23	𝑀1	𝑀1	ADV
cana-3844	447	24	𝑣11	𝑣11	VERB
cana-3844	447	25	𝑣12	𝑣12	PROPN
cana-3844	447	26	…	…	PUNCT
cana-3844	447	27	𝑣1𝑞	𝑣1𝑞	PRON
cana-3844	447	28	𝑀2	𝑀2	PROPN
cana-3844	447	29	𝑣21	𝑣21	NUM
cana-3844	447	30	𝑣22	𝑣22	NOUN
cana-3844	447	31	…	…	PUNCT
cana-3844	447	32	𝑣2𝑞	𝑣2𝑞	NOUN
cana-3844	447	33	:	:	PUNCT
cana-3844	447	34	:	:	PUNCT
cana-3844	447	35	:	:	PUNCT
cana-3844	447	36	⋱	⋱	PUNCT
cana-3844	447	37	:	:	PUNCT
cana-3844	447	38	𝑀𝑝	𝑀𝑝	VERB
cana-3844	447	39	𝑣𝑝1	𝑣𝑝1	PROPN
cana-3844	447	40	𝑣𝑝2	𝑣𝑝2	ADJ
cana-3844	447	41	…	…	PUNCT
cana-3844	447	42	𝑣𝑝𝑞	𝑣𝑝𝑞	NOUN
cana-3844	447	43	4.2	4.2	NUM
cana-3844	447	44	gra	gra	PROPN
cana-3844	447	45	approach	approach	NOUN
cana-3844	447	46	that	that	PRON
cana-3844	447	47	lies	lie	VERB
cana-3844	447	48	on	on	ADP
cana-3844	447	49	suggested	suggest	VERB
cana-3844	447	50	fuzzy	fuzzy	ADJ
cana-3844	447	51	knowledge	knowledge	NOUN
cana-3844	447	52	measure	measure	NOUN
cana-3844	447	53	since	since	SCONJ
cana-3844	447	54	distance	distance	NOUN
cana-3844	447	55	measures	measure	NOUN
cana-3844	447	56	neglect	neglect	VERB
cana-3844	447	57	the	the	DET
cana-3844	447	58	correlation	correlation	NOUN
cana-3844	447	59	between	between	ADP
cana-3844	447	60	criteria	criterion	NOUN
cana-3844	447	61	,	,	PUNCT
cana-3844	447	62	we	we	PRON
cana-3844	447	63	use	use	VERB
cana-3844	447	64	knowledge	knowledge	NOUN
cana-3844	447	65	measures	measure	NOUN
cana-3844	447	66	instead	instead	ADV
cana-3844	447	67	of	of	ADP
cana-3844	447	68	distance	distance	NOUN
cana-3844	447	69	measures	measure	NOUN
cana-3844	447	70	in	in	ADP
cana-3844	447	71	the	the	DET
cana-3844	447	72	suggested	suggest	VERB
cana-3844	447	73	approach	approach	NOUN
cana-3844	447	74	.	.	PUNCT
cana-3844	448	1	the	the	DET
cana-3844	448	2	suggested	suggest	VERB
cana-3844	448	3	method	method	NOUN
cana-3844	448	4	is	be	AUX
cana-3844	448	5	constructed	construct	VERB
cana-3844	448	6	using	use	VERB
cana-3844	448	7	the	the	DET
cana-3844	448	8	subsequent	subsequent	ADJ
cana-3844	448	9	steps	step	NOUN
cana-3844	448	10	:	:	PUNCT
cana-3844	448	11	•	•	ADP
cana-3844	448	12	crafting	craft	VERB
cana-3844	448	13	a	a	DET
cana-3844	448	14	decisions	decision	NOUN
cana-3844	448	15	matrix	matrix	NOUN
cana-3844	448	16	.the	.the	PUNCT
cana-3844	449	1	𝑚	𝑚	PRON
cana-3844	449	2	×	×	NOUN
cana-3844	449	3	𝑛	𝑛	DET
cana-3844	449	4	decision	decision	NOUN
cana-3844	449	5	matrix	matrix	NOUN
cana-3844	449	6	𝐷	𝐷	NOUN
cana-3844	449	7	,	,	PUNCT
cana-3844	449	8	with	with	ADP
cana-3844	449	9	m	m	PROPN
cana-3844	449	10	criteria	criterion	NOUN
cana-3844	449	11	and	and	CCONJ
cana-3844	449	12	n	n	PRON
cana-3844	449	13	choices	choice	NOUN
cana-3844	449	14	,	,	PUNCT
cana-3844	449	15	is	be	AUX
cana-3844	449	16	displayed	display	VERB
cana-3844	449	17	in	in	ADP
cana-3844	449	18	table	table	NOUN
cana-3844	449	19	4	4	NUM
cana-3844	449	20	.	.	PUNCT
cana-3844	450	1	in	in	ADP
cana-3844	450	2	this	this	DET
cana-3844	450	3	case	case	NOUN
cana-3844	450	4	,	,	PUNCT
cana-3844	450	5	𝑣12	𝑣12	PROPN
cana-3844	450	6	represents	represent	VERB
cana-3844	450	7	the	the	DET
cana-3844	450	8	first	first	ADJ
cana-3844	450	9	alternative	alternative	NOUN
cana-3844	450	10	’s	’s	PART
cana-3844	450	11	second	second	ADJ
cana-3844	450	12	criteria	criterion	NOUN
cana-3844	450	13	value	value	NOUN
cana-3844	450	14	,	,	PUNCT
cana-3844	450	15	while	while	SCONJ
cana-3844	450	16	𝑣21	𝑣21	NOUN
cana-3844	450	17	represents	represent	VERB
cana-3844	450	18	the	the	DET
cana-3844	450	19	second	second	ADJ
cana-3844	450	20	alternative	alternative	NOUN
cana-3844	450	21	’s	’s	PART
cana-3844	450	22	first	first	ADJ
cana-3844	450	23	criteria	criterion	NOUN
cana-3844	450	24	score	score	NOUN
cana-3844	450	25	.	.	PUNCT
cana-3844	451	1	•	•	INTJ
cana-3844	451	2	we	we	PRON
cana-3844	451	3	employ	employ	VERB
cana-3844	451	4	the	the	DET
cana-3844	451	5	given	give	VERB
cana-3844	451	6	approach	approach	NOUN
cana-3844	451	7	to	to	PART
cana-3844	451	8	normalize	normalize	VERB
cana-3844	451	9	the	the	DET
cana-3844	451	10	fuzzy	fuzzy	ADJ
cana-3844	451	11	decision	decision	NOUN
cana-3844	451	12	matrix	matrix	NOUN
cana-3844	451	13	once	once	SCONJ
cana-3844	451	14	it	it	PRON
cana-3844	451	15	has	have	AUX
cana-3844	451	16	been	be	AUX
cana-3844	451	17	created	create	VERB
cana-3844	451	18	.	.	PUNCT
cana-3844	452	1	𝑑𝑛𝑖𝑗	𝑑𝑛𝑖𝑗	PROPN
cana-3844	452	2	=	=	PUNCT
cana-3844	452	3	𝑑𝑖𝑗	𝑑𝑖𝑗	PROPN
cana-3844	452	4	√∑	√∑	PROPN
cana-3844	452	5	𝑝	𝑝	PROPN
cana-3844	452	6	𝑖=1	𝑖=1	PROPN
cana-3844	452	7	(	(	PUNCT
cana-3844	452	8	𝑑𝑖𝑗	𝑑𝑖𝑗	PROPN
cana-3844	452	9	)	)	PUNCT
cana-3844	452	10	2	2	NUM
cana-3844	452	11	,	,	PUNCT
cana-3844	452	12	∀𝑖	∀𝑖	PROPN
cana-3844	452	13	=	=	SYM
cana-3844	452	14	1,2,3	1,2,3	NUM
cana-3844	452	15	,	,	PUNCT
cana-3844	452	16	…	…	PUNCT
cana-3844	452	17	,	,	PUNCT
cana-3844	452	18	𝑝	𝑝	NOUN
cana-3844	452	19	,	,	PUNCT
cana-3844	452	20	𝑗	𝑗	NOUN
cana-3844	452	21	=	=	NOUN
cana-3844	452	22	1,2,3	1,2,3	NUM
cana-3844	452	23	,	,	PUNCT
cana-3844	452	24	…	…	PUNCT
cana-3844	452	25	,	,	PUNCT
cana-3844	452	26	𝑞.	𝑞.	NOUN
cana-3844	452	27	(	(	PUNCT
cana-3844	452	28	42	42	NUM
cana-3844	452	29	)	)	PUNCT
cana-3844	452	30	after	after	SCONJ
cana-3844	452	31	a	a	DET
cana-3844	452	32	normalized	normalize	VERB
cana-3844	452	33	fuzzy	fuzzy	ADJ
cana-3844	452	34	decision	decision	NOUN
cana-3844	452	35	matrix	matrix	NOUN
cana-3844	452	36	is	be	AUX
cana-3844	452	37	constructed	construct	VERB
cana-3844	452	38	,	,	PUNCT
cana-3844	452	39	the	the	DET
cana-3844	452	40	amount	amount	NOUN
cana-3844	452	41	of	of	ADP
cana-3844	452	42	knowledge	knowledge	NOUN
cana-3844	452	43	that	that	PRON
cana-3844	452	44	satisfies	satisfy	VERB
cana-3844	452	45	each	each	DET
cana-3844	452	46	criteria	criterion	NOUN
cana-3844	452	47	is	be	AUX
cana-3844	452	48	found	find	VERB
cana-3844	452	49	using	use	VERB
cana-3844	452	50	eq	eq	ADP
cana-3844	452	51	.	.	PUNCT
cana-3844	453	1	(	(	PUNCT
cana-3844	453	2	10	10	NUM
cana-3844	453	3	)	)	PUNCT
cana-3844	453	4	.	.	PUNCT
cana-3844	454	1	•	•	NUM
cana-3844	454	2	any	any	DET
cana-3844	454	3	mcdm	mcdm	ADJ
cana-3844	454	4	problem	problem	NOUN
cana-3844	454	5	must	must	AUX
cana-3844	454	6	take	take	VERB
cana-3844	454	7	into	into	ADP
cana-3844	454	8	account	account	NOUN
cana-3844	454	9	the	the	DET
cana-3844	454	10	weights	weight	NOUN
cana-3844	454	11	given	give	VERB
cana-3844	454	12	to	to	ADP
cana-3844	454	13	the	the	DET
cana-3844	454	14	criteria	criterion	NOUN
cana-3844	454	15	.	.	PUNCT
cana-3844	455	1	any	any	DET
cana-3844	455	2	particular	particular	ADJ
cana-3844	455	3	problem	problem	NOUN
cana-3844	455	4	’s	’s	PART
cana-3844	455	5	results	result	NOUN
cana-3844	455	6	can	can	AUX
cana-3844	455	7	be	be	AUX
cana-3844	455	8	changed	change	VERB
cana-3844	455	9	by	by	ADP
cana-3844	455	10	adjusting	adjust	VERB
cana-3844	455	11	the	the	DET
cana-3844	455	12	criteria	criterion	NOUN
cana-3844	455	13	’s	’s	PART
cana-3844	455	14	weights	weight	NOUN
cana-3844	455	15	.	.	PUNCT
cana-3844	456	1	there	there	PRON
cana-3844	456	2	are	be	VERB
cana-3844	456	3	two	two	NUM
cana-3844	456	4	methods	method	NOUN
cana-3844	456	5	available	available	ADJ
cana-3844	456	6	in	in	ADP
cana-3844	456	7	the	the	DET
cana-3844	456	8	literature	literature	NOUN
cana-3844	456	9	to	to	PART
cana-3844	456	10	determine	determine	VERB
cana-3844	456	11	criteria	criterion	NOUN
cana-3844	456	12	weights	weight	NOUN
cana-3844	456	13	:	:	PUNCT
cana-3844	456	14	(	(	PUNCT
cana-3844	456	15	a	a	X
cana-3844	456	16	)	)	PUNCT
cana-3844	456	17	𝐹𝐸𝑗	𝐹𝐸𝑗	NOUN
cana-3844	456	18	=	=	PUNCT
cana-3844	457	1	1−𝐸𝑗	1−𝐸𝑗	NUM
cana-3844	457	2	𝑞−∑	𝑞−∑	X
cana-3844	457	3	𝑞	𝑞	X
cana-3844	457	4	𝑗=1	𝑗=1	PROPN
cana-3844	457	5	𝐸𝑗	𝐸𝑗	PROPN
cana-3844	457	6	,	,	PUNCT
cana-3844	457	7	∀𝑗	∀𝑗	X
cana-3844	457	8	=	=	SYM
cana-3844	457	9	1,2	1,2	NUM
cana-3844	457	10	,	,	PUNCT
cana-3844	457	11	…	…	PUNCT
cana-3844	457	12	,	,	PUNCT
cana-3844	457	13	𝑞	𝑞	X
cana-3844	457	14	;	;	PUNCT
cana-3844	457	15	(	(	PUNCT
cana-3844	457	16	43	43	X
cana-3844	457	17	)	)	PUNCT
cana-3844	457	18	fuzzy	fuzzy	ADJ
cana-3844	457	19	information	information	NOUN
cana-3844	457	20	of	of	ADP
cana-3844	457	21	the	the	DET
cana-3844	457	22	𝑖𝑡ℎ	𝑖𝑡ℎ	NOUN
cana-3844	457	23	alternative	alternative	NOUN
cana-3844	457	24	is	be	AUX
cana-3844	457	25	represented	represent	VERB
cana-3844	457	26	by	by	ADP
cana-3844	457	27	𝐸𝑗	𝐸𝑗	PROPN
cana-3844	457	28	=	=	SYM
cana-3844	457	29	∑𝑝𝑖=1	∑𝑝𝑖=1	PROPN
cana-3844	457	30	𝐻(𝑀𝑖	𝐻(𝑀𝑖	X
cana-3844	457	31	,	,	PUNCT
cana-3844	457	32	𝑁𝑗	𝑁𝑗	PROPN
cana-3844	457	33	)	)	PUNCT
cana-3844	457	34	and	and	CCONJ
cana-3844	457	35	𝐻(𝑀𝑖	𝐻(𝑀𝑖	NOUN
cana-3844	457	36	,	,	PUNCT
cana-3844	457	37	𝑁𝑗	𝑁𝑗	PROPN
cana-3844	457	38	)	)	PUNCT
cana-3844	457	39	,	,	PUNCT
cana-3844	457	40	which	which	PRON
cana-3844	457	41	are	be	AUX
cana-3844	457	42	equivalent	equivalent	ADJ
cana-3844	457	43	to	to	ADP
cana-3844	457	44	the	the	DET
cana-3844	457	45	𝑗𝑡ℎ	𝑗𝑡ℎ	PROPN
cana-3844	457	46	criteria	criterion	NOUN
cana-3844	457	47	.	.	PUNCT
cana-3844	458	1	given	give	VERB
cana-3844	458	2	our	our	PRON
cana-3844	458	3	knowledge	knowledge	NOUN
cana-3844	458	4	of	of	ADP
cana-3844	458	5	the	the	DET
cana-3844	458	6	complementing	complement	VERB
cana-3844	458	7	nature	nature	NOUN
cana-3844	458	8	of	of	ADP
cana-3844	458	9	the	the	DET
cana-3844	458	10	concepts	concept	NOUN
cana-3844	458	11	of	of	ADP
cana-3844	458	12	fim	fim	NOUN
cana-3844	458	13	and	and	CCONJ
cana-3844	458	14	fkm	fkm	PROPN
cana-3844	458	15	,	,	PUNCT
cana-3844	458	16	we	we	PRON
cana-3844	458	17	utilize	utilize	VERB
cana-3844	458	18	the	the	DET
cana-3844	458	19	following	follow	VERB
cana-3844	458	20	approach	approach	NOUN
cana-3844	458	21	to	to	PART
cana-3844	458	22	determine	determine	VERB
cana-3844	458	23	the	the	DET
cana-3844	458	24	criteria	criterion	NOUN
cana-3844	458	25	weights	weight	VERB
cana-3844	458	26	𝐹𝐾𝑗.	𝐹𝐾𝑗.	PROPN
cana-3844	458	27	𝐹𝐾𝑗	𝐹𝐾𝑗	ADJ
cana-3844	458	28	=	=	X
cana-3844	458	29	𝑘𝑖𝑗	𝑘𝑖𝑗	PROPN
cana-3844	458	30	∑	∑	PROPN
cana-3844	458	31	𝑞	𝑞	PROPN
cana-3844	458	32	𝑗=1	𝑗=1	PROPN
cana-3844	458	33	𝑘𝑖𝑗	𝑘𝑖𝑗	NOUN
cana-3844	458	34	,	,	PUNCT
cana-3844	458	35	∀𝑗	∀𝑗	X
cana-3844	458	36	=	=	SYM
cana-3844	458	37	1,2	1,2	NUM
cana-3844	458	38	,	,	PUNCT
cana-3844	458	39	…	…	PUNCT
cana-3844	458	40	,	,	PUNCT
cana-3844	458	41	𝑞	𝑞	X
cana-3844	458	42	;	;	PUNCT
cana-3844	458	43	(	(	PUNCT
cana-3844	458	44	44	44	X
cana-3844	458	45	)	)	PUNCT
cana-3844	458	46	communications	communication	NOUN
cana-3844	458	47	on	on	ADP
cana-3844	458	48	applied	apply	VERB
cana-3844	458	49	nonlinear	nonlinear	ADJ
cana-3844	458	50	analysis	analysis	NOUN
cana-3844	458	51	issn	issn	NOUN
cana-3844	458	52	:	:	PUNCT
cana-3844	458	53	1074	1074	NUM
cana-3844	458	54	-	-	PUNCT
cana-3844	458	55	133x	133x	NUM
cana-3844	458	56	vol	vol	NOUN
cana-3844	458	57	32	32	NUM
cana-3844	459	1	no	no	NOUN
cana-3844	459	2	.	.	PUNCT
cana-3844	460	1	9s	9s	NUM
cana-3844	460	2	(	(	PUNCT
cana-3844	460	3	2025	2025	NUM
cana-3844	460	4	)	)	PUNCT
cana-3844	460	5	152	152	NUM
cana-3844	460	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	460	7	where	where	SCONJ
cana-3844	460	8	𝐾(𝑀𝑖	𝐾(𝑀𝑖	PROPN
cana-3844	460	9	,	,	PUNCT
cana-3844	460	10	𝑁𝑗	𝑁𝑗	PROPN
cana-3844	460	11	)	)	PUNCT
cana-3844	460	12	and	and	CCONJ
cana-3844	460	13	𝑘𝑖𝑗	𝑘𝑖𝑗	NOUN
cana-3844	460	14	=	=	SYM
cana-3844	460	15	∑𝑝𝑖=1	∑𝑝𝑖=1	PROPN
cana-3844	460	16	𝐾(𝑀𝑖	𝐾(𝑀𝑖	NUM
cana-3844	460	17	,	,	PUNCT
cana-3844	460	18	𝑁𝑗	𝑁𝑗	PROPN
cana-3844	460	19	)	)	PUNCT
cana-3844	460	20	denote	denote	VERB
cana-3844	460	21	the	the	DET
cana-3844	460	22	knowledge	knowledge	NOUN
cana-3844	460	23	derived	derive	VERB
cana-3844	460	24	from	from	ADP
cana-3844	460	25	the	the	DET
cana-3844	460	26	𝑖𝑡ℎ	𝑖𝑡ℎ	NOUN
cana-3844	460	27	alternative	alternative	NOUN
cana-3844	460	28	,	,	PUNCT
cana-3844	460	29	which	which	PRON
cana-3844	460	30	is	be	AUX
cana-3844	460	31	comparable	comparable	ADJ
cana-3844	460	32	to	to	ADP
cana-3844	460	33	the	the	DET
cana-3844	460	34	𝑗𝑡ℎ	𝑗𝑡ℎ	PROPN
cana-3844	460	35	criteria	criteria	PROPN
cana-3844	460	36	.	.	PUNCT
cana-3844	461	1	deng	deng	PROPN
cana-3844	462	1	[	[	X
cana-3844	462	2	33	33	NUM
cana-3844	462	3	]	]	PUNCT
cana-3844	462	4	first	first	ADV
cana-3844	462	5	proposed	propose	VERB
cana-3844	462	6	grey	grey	NOUN
cana-3844	462	7	system	system	NOUN
cana-3844	462	8	theory	theory	NOUN
cana-3844	462	9	,	,	PUNCT
cana-3844	462	10	a	a	DET
cana-3844	462	11	control	control	NOUN
cana-3844	462	12	theory	theory	NOUN
cana-3844	462	13	that	that	PRON
cana-3844	462	14	has	have	AUX
cana-3844	462	15	had	have	VERB
cana-3844	462	16	a	a	DET
cana-3844	462	17	significant	significant	ADJ
cana-3844	462	18	impact	impact	NOUN
cana-3844	462	19	on	on	ADP
cana-3844	462	20	many	many	ADJ
cana-3844	462	21	engineering	engineering	NOUN
cana-3844	462	22	and	and	CCONJ
cana-3844	462	23	management	management	NOUN
cana-3844	462	24	fields	field	NOUN
cana-3844	462	25	.	.	PUNCT
cana-3844	463	1	grey	grey	ADJ
cana-3844	463	2	relational	relational	ADJ
cana-3844	463	3	analysis	analysis	NOUN
cana-3844	463	4	(	(	PUNCT
cana-3844	463	5	gra	gra	PROPN
cana-3844	463	6	)	)	PUNCT
cana-3844	463	7	was	be	AUX
cana-3844	463	8	created	create	VERB
cana-3844	463	9	as	as	ADP
cana-3844	463	10	a	a	DET
cana-3844	463	11	result	result	NOUN
cana-3844	463	12	of	of	ADP
cana-3844	463	13	the	the	DET
cana-3844	463	14	theory	theory	NOUN
cana-3844	463	15	[	[	X
cana-3844	463	16	34	34	NUM
cana-3844	463	17	]	]	PUNCT
cana-3844	463	18	.	.	PUNCT
cana-3844	464	1	gra	gra	PROPN
cana-3844	464	2	is	be	AUX
cana-3844	464	3	a	a	DET
cana-3844	464	4	powerful	powerful	ADJ
cana-3844	464	5	method	method	NOUN
cana-3844	464	6	that	that	PRON
cana-3844	464	7	effectively	effectively	ADV
cana-3844	464	8	resolves	resolve	VERB
cana-3844	464	9	intricate	intricate	ADJ
cana-3844	464	10	correlations	correlation	NOUN
cana-3844	464	11	between	between	ADP
cana-3844	464	12	a	a	DET
cana-3844	464	13	variety	variety	NOUN
cana-3844	464	14	of	of	ADP
cana-3844	464	15	performance	performance	NOUN
cana-3844	464	16	metrics.as	metrics.as	NUM
cana-3844	464	17	with	with	ADP
cana-3844	464	18	almost	almost	ADV
cana-3844	464	19	all	all	PRON
cana-3844	464	20	mcdm	mcdm	ADJ
cana-3844	464	21	systems	system	NOUN
cana-3844	464	22	,	,	PUNCT
cana-3844	464	23	the	the	DET
cana-3844	464	24	decision	decision	NOUN
cana-3844	464	25	matrix	matrix	NOUN
cana-3844	464	26	,	,	PUNCT
cana-3844	464	27	which	which	PRON
cana-3844	464	28	includes	include	VERB
cana-3844	464	29	each	each	PRON
cana-3844	464	30	of	of	ADP
cana-3844	464	31	the	the	DET
cana-3844	464	32	decision	decision	NOUN
cana-3844	464	33	criteria	criterion	NOUN
cana-3844	464	34	,	,	PUNCT
cana-3844	464	35	serves	serve	VERB
cana-3844	464	36	as	as	ADP
cana-3844	464	37	the	the	DET
cana-3844	464	38	foundation	foundation	NOUN
cana-3844	464	39	for	for	ADP
cana-3844	464	40	resolving	resolve	VERB
cana-3844	464	41	the	the	DET
cana-3844	464	42	gra	gra	PROPN
cana-3844	464	43	problem	problem	NOUN
cana-3844	464	44	.	.	PUNCT
cana-3844	465	1	an	an	DET
cana-3844	465	2	overview	overview	NOUN
cana-3844	465	3	of	of	ADP
cana-3844	465	4	gra	gra	PROPN
cana-3844	465	5	’s	’s	PART
cana-3844	465	6	approach	approach	NOUN
cana-3844	465	7	to	to	ADP
cana-3844	465	8	problemsolving	problemsolve	VERB
cana-3844	465	9	is	be	AUX
cana-3844	465	10	given	give	VERB
cana-3844	465	11	below	below	ADP
cana-3844	465	12	[	[	X
cana-3844	465	13	34	34	NUM
cana-3844	465	14	]	]	PUNCT
cana-3844	465	15	:	:	PUNCT
cana-3844	465	16	creating	create	VERB
cana-3844	465	17	a	a	DET
cana-3844	465	18	matrix	matrix	NOUN
cana-3844	465	19	that	that	PRON
cana-3844	465	20	make	make	VERB
cana-3844	465	21	comparison	comparison	NOUN
cana-3844	465	22	.	.	PUNCT
cana-3844	466	1	equation	equation	NOUN
cana-3844	466	2	43	43	NUM
cana-3844	466	3	is	be	AUX
cana-3844	466	4	employed	employ	VERB
cana-3844	466	5	in	in	ADP
cana-3844	466	6	the	the	DET
cana-3844	466	7	comparison	comparison	NOUN
cana-3844	466	8	matrix	matrix	NOUN
cana-3844	466	9	to	to	PART
cana-3844	466	10	calculate	calculate	VERB
cana-3844	466	11	a	a	DET
cana-3844	466	12	reference	reference	NOUN
cana-3844	466	13	series	series	NOUN
cana-3844	466	14	(	(	PUNCT
cana-3844	466	15	for	for	ADP
cana-3844	466	16	criteria	criterion	NOUN
cana-3844	466	17	comparison	comparison	NOUN
cana-3844	466	18	)	)	PUNCT
cana-3844	466	19	.	.	PUNCT
cana-3844	467	1	𝑋0(𝑙	𝑋0(𝑙	PROPN
cana-3844	467	2	)	)	PUNCT
cana-3844	467	3	indicates	indicate	VERB
cana-3844	467	4	the	the	DET
cana-3844	467	5	optimum	optimum	ADJ
cana-3844	467	6	value	value	NOUN
cana-3844	467	7	of	of	ADP
cana-3844	467	8	the	the	DET
cana-3844	467	9	lth	lth	NOUN
cana-3844	467	10	criterion	criterion	NOUN
cana-3844	467	11	among	among	ADP
cana-3844	467	12	the	the	DET
cana-3844	467	13	normalized	normalize	VERB
cana-3844	467	14	values	value	NOUN
cana-3844	467	15	.	.	PUNCT
cana-3844	468	1	𝑥0	𝑥0	NOUN
cana-3844	468	2	=	=	SYM
cana-3844	468	3	(	(	PUNCT
cana-3844	468	4	𝑥0(1	𝑥0(1	PROPN
cana-3844	468	5	)	)	PUNCT
cana-3844	468	6	,	,	PUNCT
cana-3844	468	7	𝑥0(2),⋯	𝑥0(2),⋯	NOUN
cana-3844	468	8	,	,	PUNCT
cana-3844	468	9	𝑥0(𝑙	𝑥0(𝑙	X
cana-3844	468	10	)	)	PUNCT
cana-3844	468	11	)	)	PUNCT
cana-3844	468	12	,	,	PUNCT
cana-3844	468	13	𝑙	𝑙	X
cana-3844	468	14	=	=	SYM
cana-3844	468	15	1,2,⋯	1,2,⋯	PROPN
cana-3844	468	16	,	,	PUNCT
cana-3844	468	17	𝑛	𝑛	PROPN
cana-3844	468	18	(	(	PUNCT
cana-3844	468	19	45	45	NUM
cana-3844	468	20	)	)	PUNCT
cana-3844	468	21	.	.	PUNCT
cana-3844	469	1	this	this	DET
cana-3844	469	2	series	series	NOUN
cana-3844	469	3	is	be	AUX
cana-3844	469	4	produced	produce	VERB
cana-3844	469	5	by	by	ADP
cana-3844	469	6	taking	take	VERB
cana-3844	469	7	the	the	DET
cana-3844	469	8	best	good	ADJ
cana-3844	469	9	value	value	NOUN
cana-3844	469	10	for	for	ADP
cana-3844	469	11	every	every	DET
cana-3844	469	12	criterion	criterion	NOUN
cana-3844	469	13	in	in	ADP
cana-3844	469	14	the	the	DET
cana-3844	469	15	decision	decision	NOUN
cana-3844	469	16	matrix	matrix	NOUN
cana-3844	469	17	.	.	PUNCT
cana-3844	470	1	•	•	PUNCT
cana-3844	470	2	establishing	establish	VERB
cana-3844	470	3	a	a	DET
cana-3844	470	4	normalized	normalize	VERB
cana-3844	470	5	decision	decision	NOUN
cana-3844	470	6	matrix	matrix	NOUN
cana-3844	470	7	and	and	CCONJ
cana-3844	470	8	normalizing	normalize	VERB
cana-3844	470	9	by	by	ADP
cana-3844	470	10	definition	definition	NOUN
cana-3844	470	11	,	,	PUNCT
cana-3844	470	12	decision	decision	NOUN
cana-3844	470	13	issues	issue	NOUN
cana-3844	470	14	involve	involve	VERB
cana-3844	470	15	criteria	criterion	NOUN
cana-3844	470	16	with	with	ADP
cana-3844	470	17	various	various	ADJ
cana-3844	470	18	units	unit	NOUN
cana-3844	470	19	and	and	CCONJ
cana-3844	470	20	goals	goal	NOUN
cana-3844	470	21	.	.	PUNCT
cana-3844	471	1	therefore	therefore	ADV
cana-3844	471	2	,	,	PUNCT
cana-3844	471	3	in	in	ADP
cana-3844	471	4	order	order	NOUN
cana-3844	471	5	to	to	PART
cana-3844	471	6	solve	solve	VERB
cana-3844	471	7	the	the	DET
cana-3844	471	8	choice	choice	NOUN
cana-3844	471	9	difficulties	difficulty	NOUN
cana-3844	471	10	,	,	PUNCT
cana-3844	471	11	a	a	DET
cana-3844	471	12	normalizing	normalizing	ADJ
cana-3844	471	13	method	method	NOUN
cana-3844	471	14	is	be	AUX
cana-3844	471	15	used	use	VERB
cana-3844	471	16	.	.	PUNCT
cana-3844	472	1	the	the	DET
cana-3844	472	2	gra	gra	PROPN
cana-3844	472	3	approach	approach	NOUN
cana-3844	472	4	allows	allow	VERB
cana-3844	472	5	for	for	ADP
cana-3844	472	6	normalization	normalization	NOUN
cana-3844	472	7	in	in	ADP
cana-3844	472	8	three	three	NUM
cana-3844	472	9	different	different	ADJ
cana-3844	472	10	scenarios	scenario	NOUN
cana-3844	472	11	.	.	PUNCT
cana-3844	473	1	the	the	DET
cana-3844	473	2	greater	great	ADJ
cana-3844	473	3	and	and	CCONJ
cana-3844	473	4	compared	compare	VERB
cana-3844	473	5	case	case	NOUN
cana-3844	473	6	:	:	PUNCT
cana-3844	473	7	equation	equation	NOUN
cana-3844	473	8	46	46	NUM
cana-3844	473	9	is	be	AUX
cana-3844	473	10	used	use	VERB
cana-3844	473	11	to	to	PART
cana-3844	473	12	achieve	achieve	VERB
cana-3844	473	13	normalization	normalization	NOUN
cana-3844	473	14	if	if	SCONJ
cana-3844	473	15	the	the	DET
cana-3844	473	16	criterion	criterion	NOUN
cana-3844	473	17	utilized	utilize	VERB
cana-3844	473	18	is	be	AUX
cana-3844	473	19	the	the	DET
cana-3844	473	20	most	most	ADV
cana-3844	473	21	acceptable	acceptable	ADJ
cana-3844	473	22	for	for	ADP
cana-3844	473	23	the	the	DET
cana-3844	473	24	intended	intend	VERB
cana-3844	473	25	usage	usage	NOUN
cana-3844	473	26	.	.	PUNCT
cana-3844	474	1	𝑥𝑖	𝑥𝑖	ADP
cana-3844	474	2	∗	∗	NOUN
cana-3844	474	3	=	=	SYM
cana-3844	474	4	𝑥(𝑙)−𝑚𝑖𝑛𝑥𝑖(𝑙	𝑥(𝑙)−𝑚𝑖𝑛𝑥𝑖(𝑙	X
cana-3844	474	5	)	)	PUNCT
cana-3844	474	6	𝑚𝑎𝑥𝑥𝑖(𝑙)−𝑚𝑖𝑛𝑥𝑖(𝑙	𝑚𝑎𝑥𝑥𝑖(𝑙)−𝑚𝑖𝑛𝑥𝑖(𝑙	NOUN
cana-3844	474	7	)	)	PUNCT
cana-3844	474	8	(	(	PUNCT
cana-3844	474	9	46	46	NUM
cana-3844	474	10	)	)	PUNCT
cana-3844	475	1	.the	.the	DET
cana-3844	475	2	problems	problem	NOUN
cana-3844	475	3	who	who	PRON
cana-3844	475	4	are	be	AUX
cana-3844	475	5	smaller	small	ADJ
cana-3844	475	6	and	and	CCONJ
cana-3844	475	7	better	well	ADV
cana-3844	475	8	:	:	PUNCT
cana-3844	475	9	equation	equation	NOUN
cana-3844	475	10	is	be	AUX
cana-3844	475	11	used	use	VERB
cana-3844	475	12	to	to	PART
cana-3844	475	13	accomplish	accomplish	VERB
cana-3844	475	14	normalization	normalization	NOUN
cana-3844	475	15	if	if	SCONJ
cana-3844	475	16	the	the	DET
cana-3844	475	17	minimal	minimal	ADJ
cana-3844	475	18	appropriateness	appropriateness	NOUN
cana-3844	475	19	requirement	requirement	NOUN
cana-3844	475	20	for	for	ADP
cana-3844	475	21	the	the	DET
cana-3844	475	22	purpose	purpose	NOUN
cana-3844	475	23	is	be	AUX
cana-3844	475	24	applied	apply	VERB
cana-3844	475	25	.	.	PUNCT
cana-3844	476	1	𝑥𝑖	𝑥𝑖	ADP
cana-3844	476	2	∗	∗	NOUN
cana-3844	476	3	=	=	SYM
cana-3844	476	4	𝑚𝑎𝑥𝑥𝑖(𝑙)−𝑥𝑖(𝑙	𝑚𝑎𝑥𝑥𝑖(𝑙)−𝑥𝑖(𝑙	NOUN
cana-3844	476	5	)	)	PUNCT
cana-3844	476	6	𝑚𝑎𝑥𝑥𝑖(𝑙)−𝑚𝑖𝑛𝑥𝑖(𝑙	𝑚𝑎𝑥𝑥𝑖(𝑙)−𝑚𝑖𝑛𝑥𝑖(𝑙	PROPN
cana-3844	476	7	)	)	PUNCT
cana-3844	476	8	(	(	PUNCT
cana-3844	476	9	47	47	NUM
cana-3844	476	10	)	)	PUNCT
cana-3844	476	11	where	where	SCONJ
cana-3844	476	12	𝑥𝑖(𝑙	𝑥𝑖(𝑙	VERB
cana-3844	476	13	)	)	PUNCT
cana-3844	476	14	is	be	AUX
cana-3844	476	15	𝑥𝑖	𝑥𝑖	ADP
cana-3844	476	16	∗	∗	NOUN
cana-3844	476	17	,	,	PUNCT
cana-3844	476	18	the	the	DET
cana-3844	476	19	normalised	normalise	VERB
cana-3844	476	20	criterion	criterion	NOUN
cana-3844	476	21	value	value	NOUN
cana-3844	476	22	,	,	PUNCT
cana-3844	476	23	and	and	CCONJ
cana-3844	476	24	is	be	AUX
cana-3844	476	25	the	the	DET
cana-3844	476	26	numerical	numerical	ADJ
cana-3844	476	27	representation	representation	NOUN
cana-3844	476	28	of	of	ADP
cana-3844	476	29	the	the	DET
cana-3844	476	30	lth	lth	NOUN
cana-3844	476	31	parameter	parameter	NOUN
cana-3844	476	32	in	in	ADP
cana-3844	476	33	the	the	DET
cana-3844	476	34	initial	initial	ADJ
cana-3844	476	35	choice	choice	NOUN
cana-3844	476	36	of	of	ADP
cana-3844	476	37	matrix	matrix	NOUN
cana-3844	476	38	.	.	PUNCT
cana-3844	477	1	.the	.the	PRON
cana-3844	478	1	better	well	ADJ
cana-3844	478	2	the	the	DET
cana-3844	478	3	situation	situation	NOUN
cana-3844	478	4	,	,	PUNCT
cana-3844	478	5	the	the	PRON
cana-3844	478	6	closer	close	ADJ
cana-3844	478	7	it	it	PRON
cana-3844	478	8	is	be	AUX
cana-3844	478	9	to	to	ADP
cana-3844	478	10	the	the	DET
cana-3844	478	11	desired	desire	VERB
cana-3844	478	12	value	value	NOUN
cana-3844	478	13	:	:	PUNCT
cana-3844	478	14	normalization	normalization	NOUN
cana-3844	478	15	is	be	AUX
cana-3844	478	16	carried	carry	VERB
cana-3844	478	17	out	out	ADP
cana-3844	478	18	utilizing	utilize	VERB
cana-3844	478	19	equation	equation	NOUN
cana-3844	478	20	if	if	SCONJ
cana-3844	478	21	the	the	DET
cana-3844	478	22	criterion	criterion	NOUN
cana-3844	478	23	is	be	AUX
cana-3844	478	24	the	the	DET
cana-3844	478	25	most	most	ADV
cana-3844	478	26	acceptable	acceptable	ADJ
cana-3844	478	27	(	(	PUNCT
cana-3844	478	28	most	most	ADV
cana-3844	478	29	suited	suited	ADJ
cana-3844	478	30	)	)	PUNCT
cana-3844	478	31	for	for	ADP
cana-3844	478	32	the	the	DET
cana-3844	478	33	goal	goal	NOUN
cana-3844	478	34	.	.	PUNCT
cana-3844	479	1	𝑥𝑖	𝑥𝑖	ADP
cana-3844	479	2	∗	∗	NOUN
cana-3844	479	3	=	=	SYM
cana-3844	479	4	|𝑥𝑖(𝑙)−𝑥0𝑏(𝑙)|	|𝑥𝑖(𝑙)−𝑥0𝑏(𝑙)|	PROPN
cana-3844	479	5	𝑚𝑎𝑥𝑥𝑖(𝑙)−𝑥0𝑏(𝑙	𝑚𝑎𝑥𝑥𝑖(𝑙)−𝑥0𝑏(𝑙	PROPN
cana-3844	479	6	)	)	PUNCT
cana-3844	479	7	(	(	PUNCT
cana-3844	479	8	48	48	NUM
cana-3844	479	9	)	)	PUNCT
cana-3844	479	10	where	where	SCONJ
cana-3844	479	11	lth	lth	PROPN
cana-3844	479	12	denotes	denote	VERB
cana-3844	479	13	the	the	DET
cana-3844	479	14	criterion	criterion	NOUN
cana-3844	479	15	’s	’s	PART
cana-3844	479	16	target	target	NOUN
cana-3844	479	17	value	value	NOUN
cana-3844	479	18	and	and	CCONJ
cana-3844	479	19	𝑥0𝑏(𝑙	𝑥0𝑏(𝑙	PROPN
cana-3844	479	20	)	)	PUNCT
cana-3844	480	1	denotes	denote	VERB
cana-3844	480	2	the	the	DET
cana-3844	480	3	determined	determined	ADJ
cana-3844	480	4	optimal	optimal	ADJ
cana-3844	480	5	value	value	NOUN
cana-3844	480	6	.	.	PUNCT
cana-3844	481	1	the	the	DET
cana-3844	481	2	range	range	NOUN
cana-3844	481	3	min𝑙𝑥𝑖(𝑙	min𝑙𝑥𝑖(𝑙	PROPN
cana-3844	481	4	)	)	PUNCT
cana-3844	481	5	≤	≤	NUM
cana-3844	481	6	𝑥0𝑏(𝑙	𝑥0𝑏(𝑙	PROPN
cana-3844	481	7	)	)	PUNCT
cana-3844	481	8	≤	≤	NUM
cana-3844	481	9	max𝑙𝑥𝑖(𝑙	max𝑙𝑥𝑖(𝑙	NOUN
cana-3844	481	10	)	)	PUNCT
cana-3844	481	11	is	be	AUX
cana-3844	481	12	where	where	SCONJ
cana-3844	481	13	this	this	DET
cana-3844	481	14	ideal	ideal	ADJ
cana-3844	481	15	value	value	NOUN
cana-3844	481	16	can	can	AUX
cana-3844	481	17	fall	fall	VERB
cana-3844	481	18	.	.	PUNCT
cana-3844	482	1	communications	communication	NOUN
cana-3844	482	2	on	on	ADP
cana-3844	482	3	applied	apply	VERB
cana-3844	482	4	nonlinear	nonlinear	ADJ
cana-3844	482	5	analysis	analysis	NOUN
cana-3844	482	6	issn	issn	NOUN
cana-3844	482	7	:	:	PUNCT
cana-3844	482	8	1074	1074	NUM
cana-3844	482	9	-	-	PUNCT
cana-3844	482	10	133x	133x	NUM
cana-3844	482	11	vol	vol	NOUN
cana-3844	482	12	32	32	NUM
cana-3844	482	13	no	no	NOUN
cana-3844	482	14	.	.	PUNCT
cana-3844	483	1	9s	9s	NUM
cana-3844	483	2	(	(	PUNCT
cana-3844	483	3	2025	2025	NUM
cana-3844	483	4	)	)	PUNCT
cana-3844	483	5	153	153	NUM
cana-3844	483	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	483	7	•	•	NOUN
cana-3844	483	8	in	in	ADP
cana-3844	483	9	order	order	NOUN
cana-3844	483	10	to	to	PART
cana-3844	483	11	calculate	calculate	VERB
cana-3844	483	12	a	a	DET
cana-3844	483	13	matrix	matrix	NOUN
cana-3844	483	14	of	of	ADP
cana-3844	483	15	an	an	DET
cana-3844	483	16	absolute	absolute	ADJ
cana-3844	483	17	value	value	NOUN
cana-3844	483	18	the	the	DET
cana-3844	483	19	values	value	NOUN
cana-3844	483	20	that	that	PRON
cana-3844	483	21	are	be	AUX
cana-3844	483	22	normalized	normalize	VERB
cana-3844	483	23	of	of	ADP
cana-3844	483	24	the	the	DET
cana-3844	483	25	decision	decision	NOUN
cana-3844	483	26	matrix	matrix	NOUN
cana-3844	483	27	,	,	PUNCT
cana-3844	483	28	are	be	AUX
cana-3844	483	29	reduced	reduce	VERB
cana-3844	483	30	from	from	ADP
cana-3844	483	31	the	the	DET
cana-3844	483	32	reference	reference	NOUN
cana-3844	483	33	series	series	NOUN
cana-3844	483	34	which	which	PRON
cana-3844	483	35	have	have	AUX
cana-3844	483	36	normalized	normalize	VERB
cana-3844	483	37	values	value	NOUN
cana-3844	483	38	(	(	PUNCT
cana-3844	483	39	equation	equation	NOUN
cana-3844	483	40	49	49	NUM
cana-3844	483	41	)	)	PUNCT
cana-3844	483	42	to	to	PART
cana-3844	483	43	generate	generate	VERB
cana-3844	483	44	a	a	DET
cana-3844	483	45	matrix	matrix	NOUN
cana-3844	483	46	of	of	ADP
cana-3844	483	47	absolute	absolute	ADJ
cana-3844	483	48	values	value	NOUN
cana-3844	483	49	(	(	PUNCT
cana-3844	483	50	equation	equation	NOUN
cana-3844	483	51	(	(	PUNCT
cana-3844	483	52	50	50	NUM
cana-3844	483	53	)	)	PUNCT
cana-3844	483	54	)	)	PUNCT
cana-3844	483	55	.	.	PUNCT
cana-3844	484	1	𝛿0𝑖	𝛿0𝑖	PROPN
cana-3844	484	2	=	=	PUNCT
cana-3844	484	3	𝑥0	𝑥0	PROPN
cana-3844	484	4	∗(𝑙	∗(𝑙	PROPN
cana-3844	484	5	)	)	PUNCT
cana-3844	484	6	−	−	PROPN
cana-3844	484	7	𝑥𝑖	𝑥𝑖	PROPN
cana-3844	484	8	∗(𝑙	∗(𝑙	PROPN
cana-3844	484	9	)	)	PUNCT
cana-3844	484	10	(	(	PUNCT
cana-3844	484	11	49	49	NUM
cana-3844	484	12	)	)	PUNCT
cana-3844	484	13	𝛿0𝑖	𝛿0𝑖	X
cana-3844	485	1	=	=	PUNCT
cana-3844	485	2	[	[	PUNCT
cana-3844	485	3	𝛿01(1	𝛿01(1	PROPN
cana-3844	485	4	)	)	PUNCT
cana-3844	485	5	𝛿01(2	𝛿01(2	NOUN
cana-3844	485	6	)	)	PUNCT
cana-3844	485	7	⋯	⋯	NOUN
cana-3844	485	8	𝛿01(𝑛	𝛿01(𝑛	NOUN
cana-3844	485	9	)	)	PUNCT
cana-3844	485	10	𝛿02(1	𝛿02(1	NOUN
cana-3844	485	11	)	)	PUNCT
cana-3844	485	12	𝛿02(2	𝛿02(2	NOUN
cana-3844	485	13	)	)	PUNCT
cana-3844	485	14	⋯	⋯	VERB
cana-3844	485	15	𝛿02(𝑛	𝛿02(𝑛	ADJ
cana-3844	485	16	)	)	PUNCT
cana-3844	485	17	⋮	⋮	ADJ
cana-3844	485	18	⋮	⋮	NOUN
cana-3844	485	19	⋱	⋱	PUNCT
cana-3844	485	20	⋮	⋮	NOUN
cana-3844	485	21	𝛿0𝑚(1	𝛿0𝑚(1	PROPN
cana-3844	485	22	)	)	PUNCT
cana-3844	485	23	𝛿0𝑚(2	𝛿0𝑚(2	PROPN
cana-3844	485	24	)	)	PUNCT
cana-3844	485	25	⋯	⋯	PROPN
cana-3844	485	26	𝛿0𝑚(𝑛	𝛿0𝑚(𝑛	PROPN
cana-3844	485	27	)	)	PUNCT
cana-3844	485	28	]	]	PUNCT
cana-3844	486	1	(	(	PUNCT
cana-3844	486	2	50	50	NUM
cana-3844	486	3	)	)	PUNCT
cana-3844	486	4	where	where	SCONJ
cana-3844	486	5	𝛿0𝑖	𝛿0𝑖	PRON
cana-3844	486	6	symbolises	symbolise	VERB
cana-3844	486	7	the	the	DET
cana-3844	486	8	absolute	absolute	ADJ
cana-3844	486	9	value	value	NOUN
cana-3844	486	10	matrix	matrix	NOUN
cana-3844	486	11	’s	’s	PART
cana-3844	486	12	values	value	NOUN
cana-3844	486	13	.	.	PUNCT
cana-3844	487	1	•	•	NUM
cana-3844	487	2	making	make	VERB
cana-3844	487	3	a	a	DET
cana-3844	487	4	matrix	matrix	NOUN
cana-3844	487	5	of	of	ADP
cana-3844	487	6	grey	grey	PROPN
cana-3844	487	7	relational	relational	ADJ
cana-3844	487	8	coefficients	coefficient	NOUN
cana-3844	487	9	the	the	DET
cana-3844	487	10	grey	grey	PROPN
cana-3844	487	11	relational	relational	ADJ
cana-3844	487	12	coefficient	coefficient	NOUN
cana-3844	487	13	matrix	matrix	NOUN
cana-3844	487	14	is	be	AUX
cana-3844	487	15	created	create	VERB
cana-3844	487	16	using	use	VERB
cana-3844	487	17	equation	equation	NOUN
cana-3844	487	18	(	(	PUNCT
cana-3844	487	19	51	51	NUM
cana-3844	487	20	)	)	PUNCT
cana-3844	487	21	,	,	PUNCT
cana-3844	487	22	and	and	CCONJ
cana-3844	487	23	the	the	DET
cana-3844	487	24	values	value	NOUN
cana-3844	487	25	of	of	ADP
cana-3844	487	26	𝛿max	𝛿max	NOUN
cana-3844	487	27	and	and	CCONJ
cana-3844	487	28	𝛿min	𝛿min	NOUN
cana-3844	487	29	are	be	AUX
cana-3844	487	30	determined	determine	VERB
cana-3844	487	31	using	use	VERB
cana-3844	487	32	equations	equation	NOUN
cana-3844	487	33	(	(	PUNCT
cana-3844	487	34	52	52	NUM
cana-3844	487	35	)	)	PUNCT
cana-3844	487	36	and	and	CCONJ
cana-3844	487	37	(	(	PUNCT
cana-3844	487	38	53	53	NUM
cana-3844	487	39	)	)	PUNCT
cana-3844	487	40	,	,	PUNCT
cana-3844	487	41	respectively	respectively	ADV
cana-3844	487	42	.	.	PUNCT
cana-3844	488	1	𝛾0𝑖(𝑗	𝛾0𝑖(𝑗	ADV
cana-3844	488	2	)	)	PUNCT
cana-3844	489	1	=	=	SYM
cana-3844	489	2	𝛿min+𝜁⋅𝛿max	𝛿min+𝜁⋅𝛿max	NOUN
cana-3844	489	3	𝛿0𝑖(𝑙)+𝜁⋅𝛿max	𝛿0𝑖(𝑙)+𝜁⋅𝛿max	X
cana-3844	489	4	(	(	PUNCT
cana-3844	489	5	51	51	NUM
cana-3844	489	6	)	)	PUNCT
cana-3844	489	7	𝛿max	𝛿max	NOUN
cana-3844	489	8	=	=	SYM
cana-3844	489	9	max	max	PROPN
cana-3844	489	10	𝑖	𝑖	SYM
cana-3844	489	11	max	max	PROPN
cana-3844	489	12	𝑙	𝑙	X
cana-3844	489	13	𝛿0𝑖(𝑙	𝛿0𝑖(𝑙	PROPN
cana-3844	489	14	)	)	PUNCT
cana-3844	489	15	(	(	PUNCT
cana-3844	489	16	52	52	NUM
cana-3844	489	17	)	)	PUNCT
cana-3844	489	18	𝛿min	𝛿min	NOUN
cana-3844	489	19	=	=	SYM
cana-3844	489	20	min	min	PROPN
cana-3844	489	21	𝑖	𝑖	SYM
cana-3844	489	22	min	min	PROPN
cana-3844	489	23	𝑙	𝑙	PROPN
cana-3844	489	24	𝛿0𝑖(𝑙	𝛿0𝑖(𝑙	PROPN
cana-3844	489	25	)	)	PUNCT
cana-3844	489	26	(	(	PUNCT
cana-3844	489	27	53	53	NUM
cana-3844	489	28	)	)	PUNCT
cana-3844	489	29	and	and	CCONJ
cana-3844	489	30	the	the	DET
cana-3844	489	31	values	value	NOUN
cana-3844	489	32	of	of	ADP
cana-3844	489	33	the	the	DET
cana-3844	489	34	grey	grey	PROPN
cana-3844	489	35	relational	relational	ADJ
cana-3844	489	36	coefficient	coefficient	NOUN
cana-3844	489	37	matrix	matrix	NOUN
cana-3844	489	38	are	be	AUX
cana-3844	489	39	represented	represent	VERB
cana-3844	489	40	by	by	ADP
cana-3844	489	41	the	the	DET
cana-3844	489	42	symbol	symbol	NOUN
cana-3844	489	43	𝛾0𝑖(𝑙	𝛾0𝑖(𝑙	PROPN
cana-3844	489	44	)	)	PUNCT
cana-3844	489	45	.	.	PUNCT
cana-3844	490	1	in	in	ADP
cana-3844	490	2	equation	equation	NOUN
cana-3844	490	3	(	(	PUNCT
cana-3844	490	4	49	49	NUM
cana-3844	490	5	)	)	PUNCT
cana-3844	490	6	,	,	PUNCT
cana-3844	490	7	𝜁	𝜁	PROPN
cana-3844	490	8	,	,	PUNCT
cana-3844	490	9	also	also	ADV
cana-3844	490	10	known	know	VERB
cana-3844	490	11	as	as	ADP
cana-3844	490	12	the	the	DET
cana-3844	490	13	"	"	PUNCT
cana-3844	490	14	discriminant	discriminant	ADJ
cana-3844	490	15	coefficient	coefficient	NOUN
cana-3844	490	16	"	"	PUNCT
cana-3844	490	17	or	or	CCONJ
cana-3844	490	18	"	"	PUNCT
cana-3844	490	19	contrast	contrast	VERB
cana-3844	490	20	control	control	NOUN
cana-3844	490	21	coefficient	coefficient	NOUN
cana-3844	490	22	,	,	PUNCT
cana-3844	490	23	"	"	PUNCT
cana-3844	490	24	has	have	VERB
cana-3844	490	25	a	a	DET
cana-3844	490	26	value	value	NOUN
cana-3844	490	27	between	between	ADP
cana-3844	490	28	0	0	NUM
cana-3844	490	29	and	and	CCONJ
cana-3844	490	30	1	1	NUM
cana-3844	490	31	.	.	PUNCT
cana-3844	491	1	in	in	ADP
cana-3844	491	2	this	this	DET
cana-3844	491	3	investigation	investigation	NOUN
cana-3844	491	4	,	,	PUNCT
cana-3844	491	5	𝜁	𝜁	PROPN
cana-3844	491	6	=	=	SYM
cana-3844	491	7	0.5	0.5	NUM
cana-3844	491	8	was	be	AUX
cana-3844	491	9	used	use	VERB
cana-3844	491	10	for	for	ADP
cana-3844	491	11	pertinent	pertinent	ADJ
cana-3844	491	12	studies	study	NOUN
cana-3844	491	13	in	in	ADP
cana-3844	491	14	order	order	NOUN
cana-3844	491	15	to	to	PART
cana-3844	491	16	be	be	AUX
cana-3844	491	17	consistent	consistent	ADJ
cana-3844	491	18	with	with	ADP
cana-3844	491	19	the	the	DET
cana-3844	491	20	literature	literature	NOUN
cana-3844	491	21	.	.	PUNCT
cana-3844	492	1	•	•	NUM
cana-3844	492	2	making	make	VERB
cana-3844	492	3	a	a	DET
cana-3844	492	4	computation	computation	NOUN
cana-3844	492	5	to	to	PART
cana-3844	492	6	find	find	VERB
cana-3844	492	7	grey	grey	ADJ
cana-3844	492	8	relational	relational	ADJ
cana-3844	492	9	degrees	degree	VERB
cana-3844	492	10	the	the	DET
cana-3844	492	11	degree	degree	NOUN
cana-3844	492	12	of	of	ADP
cana-3844	492	13	geometric	geometric	ADJ
cana-3844	492	14	resemblance	resemblance	NOUN
cana-3844	492	15	between	between	ADP
cana-3844	492	16	the	the	DET
cana-3844	492	17	𝑥𝑖	𝑥𝑖	PROPN
cana-3844	492	18	∗	∗	NOUN
cana-3844	492	19	series	series	NOUN
cana-3844	492	20	in	in	ADP
cana-3844	492	21	a	a	DET
cana-3844	492	22	grey	grey	ADJ
cana-3844	492	23	system	system	NOUN
cana-3844	492	24	and	and	CCONJ
cana-3844	492	25	the	the	DET
cana-3844	492	26	reference	reference	NOUN
cana-3844	492	27	series	series	NOUN
cana-3844	492	28	𝑥0	𝑥0	PROPN
cana-3844	492	29	∗	∗	NOUN
cana-3844	492	30	is	be	AUX
cana-3844	492	31	known	know	VERB
cana-3844	492	32	as	as	ADP
cana-3844	492	33	the	the	DET
cana-3844	492	34	grey	grey	PROPN
cana-3844	492	35	relational	relational	ADJ
cana-3844	492	36	degree	degree	NOUN
cana-3844	492	37	,	,	PUNCT
cana-3844	492	38	which	which	PRON
cana-3844	492	39	makes	make	VERB
cana-3844	492	40	it	it	PRON
cana-3844	492	41	possible	possible	ADJ
cana-3844	492	42	to	to	PART
cana-3844	492	43	compare	compare	VERB
cana-3844	492	44	the	the	DET
cana-3844	492	45	series	series	NOUN
cana-3844	492	46	.	.	PUNCT
cana-3844	493	1	a	a	DET
cana-3844	493	2	significant	significant	ADJ
cana-3844	493	3	correlation	correlation	NOUN
cana-3844	493	4	between	between	ADP
cana-3844	493	5	the	the	DET
cana-3844	493	6	comparison	comparison	NOUN
cana-3844	493	7	and	and	CCONJ
cana-3844	493	8	reference	reference	NOUN
cana-3844	493	9	series	series	NOUN
cana-3844	493	10	is	be	AUX
cana-3844	493	11	indicated	indicate	VERB
cana-3844	493	12	by	by	ADP
cana-3844	493	13	a	a	DET
cana-3844	493	14	big	big	ADJ
cana-3844	493	15	gray	gray	ADJ
cana-3844	493	16	relational	relational	ADJ
cana-3844	493	17	degree	degree	NOUN
cana-3844	493	18	.	.	PUNCT
cana-3844	494	1	the	the	DET
cana-3844	494	2	gray	gray	ADJ
cana-3844	494	3	correlation	correlation	NOUN
cana-3844	494	4	degree	degree	NOUN
cana-3844	494	5	is	be	AUX
cana-3844	494	6	one	one	NUM
cana-3844	494	7	if	if	SCONJ
cana-3844	494	8	the	the	DET
cana-3844	494	9	two	two	NUM
cana-3844	494	10	series	series	NOUN
cana-3844	494	11	under	under	ADP
cana-3844	494	12	comparison	comparison	NOUN
cana-3844	494	13	are	be	AUX
cana-3844	494	14	communications	communication	NOUN
cana-3844	494	15	on	on	ADP
cana-3844	494	16	applied	apply	VERB
cana-3844	494	17	nonlinear	nonlinear	ADJ
cana-3844	494	18	analysis	analysis	NOUN
cana-3844	494	19	issn	issn	NOUN
cana-3844	494	20	:	:	PUNCT
cana-3844	494	21	1074	1074	NUM
cana-3844	494	22	-	-	PUNCT
cana-3844	494	23	133x	133x	NUM
cana-3844	494	24	vol	vol	NOUN
cana-3844	494	25	32	32	NUM
cana-3844	494	26	no	no	NOUN
cana-3844	494	27	.	.	PUNCT
cana-3844	495	1	9s	9s	NUM
cana-3844	495	2	(	(	PUNCT
cana-3844	495	3	2025	2025	NUM
cana-3844	495	4	)	)	PUNCT
cana-3844	495	5	154	154	NUM
cana-3844	495	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	495	7	identical.the	identical.the	NOUN
cana-3844	495	8	weight	weight	NOUN
cana-3844	495	9	status	status	NOUN
cana-3844	495	10	of	of	ADP
cana-3844	495	11	the	the	DET
cana-3844	495	12	criteria	criterion	NOUN
cana-3844	495	13	affects	affect	VERB
cana-3844	495	14	how	how	SCONJ
cana-3844	495	15	different	different	ADJ
cana-3844	495	16	gray	gray	ADJ
cana-3844	495	17	relationship	relationship	NOUN
cana-3844	495	18	degrees	degree	NOUN
cana-3844	495	19	are	be	AUX
cana-3844	495	20	calculated	calculate	VERB
cana-3844	495	21	.	.	PUNCT
cana-3844	496	1	equation	equation	NOUN
cana-3844	496	2	(	(	PUNCT
cana-3844	496	3	54	54	NUM
cana-3844	496	4	)	)	PUNCT
cana-3844	496	5	is	be	AUX
cana-3844	496	6	used	use	VERB
cana-3844	496	7	to	to	PART
cana-3844	496	8	determine	determine	VERB
cana-3844	496	9	the	the	DET
cana-3844	496	10	grey	grey	ADJ
cana-3844	496	11	relational	relational	ADJ
cana-3844	496	12	degrees	degree	NOUN
cana-3844	496	13	when	when	SCONJ
cana-3844	496	14	all	all	DET
cana-3844	496	15	criteria	criterion	NOUN
cana-3844	496	16	weights	weight	NOUN
cana-3844	496	17	are	be	AUX
cana-3844	496	18	similar	similar	ADJ
cana-3844	496	19	,	,	PUNCT
cana-3844	496	20	while	while	SCONJ
cana-3844	496	21	equation	equation	NOUN
cana-3844	496	22	(	(	PUNCT
cana-3844	496	23	55	55	NUM
cana-3844	496	24	)	)	PUNCT
cana-3844	496	25	is	be	AUX
cana-3844	496	26	used	use	VERB
cana-3844	496	27	when	when	SCONJ
cana-3844	496	28	criteria	criterion	NOUN
cana-3844	496	29	weights	weight	NOUN
cana-3844	496	30	differ	differ	VERB
cana-3844	496	31	.	.	PUNCT
cana-3844	497	1	γ0𝑖	γ0𝑖	PUNCT
cana-3844	498	1	=	=	SYM
cana-3844	498	2	1	1	NUM
cana-3844	498	3	𝑛	𝑛	X
cana-3844	498	4	∑𝑛𝑙=1	∑𝑛𝑙=1	PROPN
cana-3844	498	5	𝛾0𝑖(𝑙	𝛾0𝑖(𝑙	PROPN
cana-3844	498	6	)	)	PUNCT
cana-3844	498	7	(	(	PUNCT
cana-3844	498	8	54	54	NUM
cana-3844	498	9	)	)	PUNCT
cana-3844	498	10	γ0𝑖	γ0𝑖	PUNCT
cana-3844	499	1	=	=	PUNCT
cana-3844	499	2	∑	∑	PUNCT
cana-3844	499	3	𝑛	𝑛	PROPN
cana-3844	499	4	𝑙=1	𝑙=1	X
cana-3844	499	5	(	(	PUNCT
cana-3844	499	6	𝑤𝑖(𝑙	𝑤𝑖(𝑙	X
cana-3844	499	7	)	)	PUNCT
cana-3844	499	8	⋅	⋅	PROPN
cana-3844	499	9	𝛾0𝑖(𝑙	𝛾0𝑖(𝑙	PROPN
cana-3844	499	10	)	)	PUNCT
cana-3844	499	11	)	)	PUNCT
cana-3844	500	1	(	(	PUNCT
cana-3844	500	2	55	55	NUM
cana-3844	500	3	)	)	PUNCT
cana-3844	500	4	where	where	SCONJ
cana-3844	500	5	the	the	DET
cana-3844	500	6	weight	weight	NOUN
cana-3844	500	7	of	of	ADP
cana-3844	500	8	the	the	DET
cana-3844	500	9	𝑙th	𝑙th	ADJ
cana-3844	500	10	criterion	criterion	NOUN
cana-3844	500	11	is	be	AUX
cana-3844	500	12	𝑤𝑖(𝑙	𝑤𝑖(𝑙	NOUN
cana-3844	500	13	)	)	PUNCT
cana-3844	500	14	,	,	PUNCT
cana-3844	500	15	and	and	CCONJ
cana-3844	500	16	the	the	DET
cana-3844	500	17	grey	grey	ADJ
cana-3844	500	18	relational	relational	ADJ
cana-3844	500	19	degrees	degree	NOUN
cana-3844	500	20	are	be	AUX
cana-3844	500	21	denoted	denote	VERB
cana-3844	500	22	by	by	ADP
cana-3844	500	23	γ0𝑖.	γ0𝑖.	PROPN
cana-3844	500	24	(	(	PUNCT
cana-3844	500	25	∑	∑	PUNCT
cana-3844	500	26	𝑛	𝑛	PRON
cana-3844	500	27	𝑙=1	𝑙=1	NOUN
cana-3844	500	28	𝑤𝑙	𝑤𝑙	X
cana-3844	500	29	=	=	SYM
cana-3844	501	1	1	1	X
cana-3844	501	2	)	)	PUNCT
cana-3844	501	3	is	be	AUX
cana-3844	501	4	the	the	DET
cana-3844	501	5	total	total	NOUN
cana-3844	501	6	of	of	ADP
cana-3844	501	7	the	the	DET
cana-3844	501	8	criterion	criterion	NOUN
cana-3844	501	9	weights	weight	NOUN
cana-3844	501	10	.	.	PUNCT
cana-3844	502	1	5	5	NUM
cana-3844	502	2	case	case	NOUN
cana-3844	502	3	study	study	VERB
cana-3844	502	4	sixteen	sixteen	NUM
cana-3844	502	5	trials	trial	NOUN
cana-3844	502	6	with	with	ADP
cana-3844	502	7	various	various	ADJ
cana-3844	502	8	combinations	combination	NOUN
cana-3844	502	9	of	of	ADP
cana-3844	502	10	𝑪𝑶𝟐	𝑪𝑶𝟐	PROPN
cana-3844	502	11	and	and	CCONJ
cana-3844	502	12	𝑵𝑯𝟑	𝑵𝑯𝟑	PROPN
cana-3844	502	13	gas	gas	NOUN
cana-3844	502	14	concentrations	concentration	NOUN
cana-3844	502	15	were	be	AUX
cana-3844	502	16	carried	carry	VERB
cana-3844	502	17	out	out	ADP
cana-3844	502	18	for	for	ADP
cana-3844	502	19	the	the	DET
cana-3844	502	20	study	study	NOUN
cana-3844	502	21	.	.	PUNCT
cana-3844	503	1	to	to	PART
cana-3844	503	2	track	track	VERB
cana-3844	503	3	algal	algal	ADJ
cana-3844	503	4	growth	growth	NOUN
cana-3844	503	5	and	and	CCONJ
cana-3844	503	6	𝑪𝑶𝟐	𝑪𝑶𝟐	PROPN
cana-3844	503	7	and	and	CCONJ
cana-3844	503	8	𝑵𝑯𝟑	𝑵𝑯𝟑	PROPN
cana-3844	503	9	mitigation	mitigation	NOUN
cana-3844	503	10	efficiency	efficiency	NOUN
cana-3844	503	11	,	,	PUNCT
cana-3844	503	12	the	the	DET
cana-3844	503	13	following	follow	VERB
cana-3844	503	14	parameters	parameter	NOUN
cana-3844	503	15	were	be	AUX
cana-3844	503	16	calculated	calculate	VERB
cana-3844	503	17	at	at	ADP
cana-3844	503	18	the	the	DET
cana-3844	503	19	conclusion	conclusion	NOUN
cana-3844	503	20	of	of	ADP
cana-3844	503	21	every	every	DET
cana-3844	503	22	trial	trial	NOUN
cana-3844	503	23	:	:	PUNCT
cana-3844	503	24	cell	cell	NOUN
cana-3844	503	25	number	number	NOUN
cana-3844	503	26	,	,	PUNCT
cana-3844	503	27	dry	dry	ADJ
cana-3844	503	28	weight	weight	NOUN
cana-3844	503	29	,	,	PUNCT
cana-3844	503	30	cell	cell	NOUN
cana-3844	503	31	weight	weight	NOUN
cana-3844	503	32	,	,	PUNCT
cana-3844	503	33	growth	growth	NOUN
cana-3844	503	34	rate	rate	NOUN
cana-3844	503	35	,	,	PUNCT
cana-3844	503	36	and	and	CCONJ
cana-3844	503	37	𝑪𝑶𝟐	𝑪𝑶𝟐	PROPN
cana-3844	503	38	and	and	CCONJ
cana-3844	503	39	𝑵𝑯𝟑	𝑵𝑯𝟑	PROPN
cana-3844	503	40	fixation	fixation	NOUN
cana-3844	503	41	and	and	CCONJ
cana-3844	503	42	removal	removal	NOUN
cana-3844	503	43	rates	rate	NOUN
cana-3844	503	44	.	.	PUNCT
cana-3844	504	1	these	these	DET
cana-3844	504	2	variables	variable	NOUN
cana-3844	504	3	were	be	AUX
cana-3844	504	4	used	use	VERB
cana-3844	504	5	as	as	ADP
cana-3844	504	6	standards	standard	NOUN
cana-3844	504	7	for	for	ADP
cana-3844	504	8	the	the	DET
cana-3844	504	9	experiments	experiment	NOUN
cana-3844	504	10	’	’	PART
cana-3844	504	11	mcdm	mcdm	ADJ
cana-3844	504	12	analysis	analysis	NOUN
cana-3844	504	13	.	.	PUNCT
cana-3844	505	1	the	the	DET
cana-3844	505	2	gra	gra	PROPN
cana-3844	505	3	technique	technique	NOUN
cana-3844	505	4	was	be	AUX
cana-3844	505	5	then	then	ADV
cana-3844	505	6	used	use	VERB
cana-3844	505	7	to	to	PART
cana-3844	505	8	determine	determine	VERB
cana-3844	505	9	the	the	DET
cana-3844	505	10	weights	weight	NOUN
cana-3844	505	11	of	of	ADP
cana-3844	505	12	each	each	DET
cana-3844	505	13	criterion	criterion	NOUN
cana-3844	505	14	.	.	PUNCT
cana-3844	506	1	the	the	DET
cana-3844	506	2	weight	weight	NOUN
cana-3844	506	3	of	of	ADP
cana-3844	506	4	each	each	DET
cana-3844	506	5	chosen	choose	VERB
cana-3844	506	6	criterion	criterion	NOUN
cana-3844	506	7	in	in	ADP
cana-3844	506	8	the	the	DET
cana-3844	506	9	gra	gra	PROPN
cana-3844	506	10	approach	approach	NOUN
cana-3844	506	11	is	be	AUX
cana-3844	506	12	displayed	display	VERB
cana-3844	506	13	in	in	ADP
cana-3844	506	14	figure	figure	NOUN
cana-3844	506	15	1	1	NUM
cana-3844	506	16	.	.	PUNCT
cana-3844	507	1	the	the	DET
cana-3844	507	2	weight	weight	NOUN
cana-3844	507	3	figures	figure	NOUN
cana-3844	507	4	that	that	PRON
cana-3844	507	5	were	be	AUX
cana-3844	507	6	produced	produce	VERB
cana-3844	507	7	were	be	AUX
cana-3844	507	8	then	then	ADV
cana-3844	507	9	fed	feed	VERB
cana-3844	507	10	into	into	ADP
cana-3844	507	11	gra	gra	PROPN
cana-3844	507	12	.	.	PUNCT
cana-3844	508	1	as	as	SCONJ
cana-3844	508	2	previously	previously	ADV
cana-3844	508	3	noted	note	VERB
cana-3844	508	4	,	,	PUNCT
cana-3844	508	5	three	three	NUM
cana-3844	508	6	scenarios	scenario	NOUN
cana-3844	508	7	/	/	SYM
cana-3844	508	8	output	output	NOUN
cana-3844	508	9	goals	goal	NOUN
cana-3844	508	10	were	be	AUX
cana-3844	508	11	compared	compare	VERB
cana-3844	508	12	in	in	ADP
cana-3844	508	13	the	the	DET
cana-3844	508	14	analyses	analysis	NOUN
cana-3844	508	15	,	,	PUNCT
cana-3844	508	16	and	and	CCONJ
cana-3844	508	17	each	each	DET
cana-3844	508	18	scenario	scenario	NOUN
cana-3844	508	19	included	include	VERB
cana-3844	508	20	a	a	DET
cana-3844	508	21	number	number	NOUN
cana-3844	508	22	of	of	ADP
cana-3844	508	23	performance	performance	NOUN
cana-3844	508	24	indicators	indicator	NOUN
cana-3844	508	25	.	.	PUNCT
cana-3844	509	1	the	the	DET
cana-3844	509	2	indicator	indicator	NOUN
cana-3844	509	3	data	data	VERB
cana-3844	509	4	from	from	ADP
cana-3844	509	5	sixteen	sixteen	NUM
cana-3844	509	6	batches	batch	NOUN
cana-3844	509	7	of	of	ADP
cana-3844	509	8	algal	algal	ADJ
cana-3844	509	9	cultivation	cultivation	NOUN
cana-3844	509	10	trials	trial	NOUN
cana-3844	509	11	are	be	AUX
cana-3844	509	12	compiled	compile	VERB
cana-3844	509	13	in	in	ADP
cana-3844	509	14	table	table	NOUN
cana-3844	509	15	𝟔	𝟔	NUM
cana-3844	509	16	have	have	AUX
cana-3844	509	17	been	be	AUX
cana-3844	509	18	taken	take	VERB
cana-3844	509	19	from	from	ADP
cana-3844	509	20	[	[	X
cana-3844	509	21	35	35	NUM
cana-3844	509	22	]	]	PUNCT
cana-3844	509	23	.	.	PUNCT
cana-3844	510	1	table	table	NOUN
cana-3844	510	2	6	6	NUM
cana-3844	510	3	:	:	PUNCT
cana-3844	510	4	decision	decision	NOUN
cana-3844	510	5	matrix	matrix	NOUN
cana-3844	510	6	in	in	ADP
cana-3844	510	7	fuzzy	fuzzy	ADJ
cana-3844	510	8	environment	environment	NOUN
cana-3844	510	9	𝐷𝑝×𝑞.	𝐷𝑝×𝑞.	ADJ
cana-3844	510	10	criteria	criterion	NOUN
cana-3844	510	11	𝐶𝑂2	𝐶𝑂2	PROPN
cana-3844	510	12	and	and	CCONJ
cana-3844	510	13	𝑁𝐻3	𝑁𝐻3	PROPN
cana-3844	510	14	combinations	combination	NOUN
cana-3844	510	15	ℜ1	ℜ1	PROPN
cana-3844	510	16	ℜ2	ℜ2	VERB
cana-3844	510	17	ℜ3	ℜ3	PROPN
cana-3844	510	18	ℜ4	ℜ4	PROPN
cana-3844	510	19	ℜ5	ℜ5	PROPN
cana-3844	510	20	ℜ6	ℜ6	PROPN
cana-3844	510	21	ℜ7	ℜ7	PROPN
cana-3844	510	22	ℜ8	ℜ8	PROPN
cana-3844	510	23	exp1	exp1	PROPN
cana-3844	510	24	0	0	NUM
cana-3844	510	25	ppm	ppm	NOUN
cana-3844	510	26	nh3350	nh3350	PROPN
cana-3844	510	27	ppm	ppm	NOUN
cana-3844	510	28	co2	co2	VERB
cana-3844	510	29	0.54	0.54	NUM
cana-3844	510	30	0.60	0.60	NUM
cana-3844	510	31	0.31	0.31	NUM
cana-3844	510	32	3.39	3.39	NUM
cana-3844	510	33	0	0	NUM
cana-3844	510	34	0	0	NUM
cana-3844	510	35	0	0	NUM
cana-3844	510	36	0	0	NUM
cana-3844	511	1	exp2	exp2	NOUN
cana-3844	511	2	12	12	NUM
cana-3844	511	3	ppm	ppm	NOUN
cana-3844	511	4	nh3	nh3	PROPN
cana-3844	511	5	-	-	SYM
cana-3844	511	6	350	350	NUM
cana-3844	511	7	ppm	ppm	NOUN
cana-3844	511	8	co2	co2	NOUN
cana-3844	511	9	1.15	1.15	NUM
cana-3844	511	10	1.12	1.12	NUM
cana-3844	511	11	0.44	0.44	NUM
cana-3844	511	12	0.96	0.96	NUM
cana-3844	511	13	99.5	99.5	NUM
cana-3844	511	14	22.3	22.3	NUM
cana-3844	511	15	5.48	5.48	NUM
cana-3844	511	16	76.6	76.6	NUM
cana-3844	511	17	exp3	exp3	NOUN
cana-3844	511	18	25	25	NUM
cana-3844	511	19	ppm	ppm	NOUN
cana-3844	511	20	nh3	nh3	ADJ
cana-3844	511	21	-	-	SYM
cana-3844	511	22	350	350	NUM
cana-3844	511	23	ppm	ppm	NOUN
cana-3844	511	24	co2	co2	NOUN
cana-3844	511	25	1.27	1.27	NUM
cana-3844	511	26	1.20	1.20	NUM
cana-3844	511	27	0.6	0.6	NUM
cana-3844	511	28	2.08	2.08	NUM
cana-3844	511	29	81.8	81.8	NUM
cana-3844	511	30	18.3	18.3	NUM
cana-3844	511	31	4.5	4.5	NUM
cana-3844	511	32	36.1	36.1	NUM
cana-3844	511	33	communications	communication	NOUN
cana-3844	511	34	on	on	ADP
cana-3844	511	35	applied	apply	VERB
cana-3844	511	36	nonlinear	nonlinear	ADJ
cana-3844	511	37	analysis	analysis	NOUN
cana-3844	511	38	issn	issn	NOUN
cana-3844	511	39	:	:	PUNCT
cana-3844	511	40	1074	1074	NUM
cana-3844	511	41	-	-	PUNCT
cana-3844	511	42	133x	133x	NUM
cana-3844	511	43	vol	vol	NOUN
cana-3844	511	44	32	32	NUM
cana-3844	511	45	no	no	NOUN
cana-3844	511	46	.	.	PUNCT
cana-3844	512	1	9s	9s	NUM
cana-3844	512	2	(	(	PUNCT
cana-3844	512	3	2025	2025	NUM
cana-3844	512	4	)	)	PUNCT
cana-3844	512	5	155	155	NUM
cana-3844	512	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	512	7	exp4	exp4	NOUN
cana-3844	512	8	50	50	NUM
cana-3844	512	9	ppm	ppm	NOUN
cana-3844	512	10	nh3	nh3	ADJ
cana-3844	512	11	-	-	SYM
cana-3844	512	12	350	350	NUM
cana-3844	512	13	ppm	ppm	NOUN
cana-3844	512	14	co2	co2	NOUN
cana-3844	512	15	1.23	1.23	NUM
cana-3844	512	16	1.24	1.24	NUM
cana-3844	512	17	0.45	0.45	NUM
cana-3844	512	18	2.26	2.26	NUM
cana-3844	512	19	71.0	71.0	NUM
cana-3844	512	20	15.9	15.9	NUM
cana-3844	512	21	3.9	3.9	NUM
cana-3844	512	22	15.6	15.6	NUM
cana-3844	512	23	exp5	exp5	NOUN
cana-3844	512	24	0	0	NUM
cana-3844	513	1	ppm	ppm	NOUN
cana-3844	513	2	nh31200	nh31200	PROPN
cana-3844	513	3	ppm	ppm	NOUN
cana-3844	513	4	co2	co2	NOUN
cana-3844	513	5	0.69	0.69	NUM
cana-3844	513	6	0.72	0.72	NUM
cana-3844	513	7	0.05	0.05	NUM
cana-3844	513	8	1.28	1.28	NUM
cana-3844	513	9	0	0	NUM
cana-3844	513	10	0	0	NUM
cana-3844	513	11	0	0	NUM
cana-3844	513	12	0	0	NUM
cana-3844	514	1	exp6	exp6	NOUN
cana-3844	514	2	12	12	NUM
cana-3844	514	3	ppm	ppm	NOUN
cana-3844	514	4	nh3	nh3	NUM
cana-3844	514	5	-	-	PUNCT
cana-3844	514	6	1200	1200	NUM
cana-3844	514	7	ppm	ppm	NOUN
cana-3844	514	8	co2	co2	NOUN
cana-3844	514	9	1.78	1.78	NUM
cana-3844	514	10	1.80	1.80	NUM
cana-3844	514	11	0.35	0.35	NUM
cana-3844	514	12	1.01	1.01	NUM
cana-3844	514	13	193.0	193.0	NUM
cana-3844	514	14	12.6	12.6	NUM
cana-3844	514	15	10.6	10.6	NUM
cana-3844	514	16	94.4	94.4	NUM
cana-3844	514	17	exp7	exp7	NOUN
cana-3844	514	18	25	25	NUM
cana-3844	514	19	ppm	ppm	NOUN
cana-3844	514	20	nh3	nh3	NUM
cana-3844	514	21	-	-	PUNCT
cana-3844	514	22	1200	1200	NUM
cana-3844	514	23	ppm	ppm	NOUN
cana-3844	514	24	co2	co2	NOUN
cana-3844	514	25	1.95	1.95	NUM
cana-3844	514	26	2.00	2.00	NUM
cana-3844	514	27	0.62	0.62	NUM
cana-3844	514	28	0.53	0.53	NUM
cana-3844	514	29	364.8	364.8	NUM
cana-3844	514	30	23.8	23.8	NUM
cana-3844	514	31	20.1	20.1	NUM
cana-3844	514	32	85.3	85.3	NUM
cana-3844	514	33	exp8	exp8	NOUN
cana-3844	514	34	50	50	NUM
cana-3844	514	35	ppm	ppm	NOUN
cana-3844	514	36	nh3	nh3	NUM
cana-3844	514	37	-	-	PUNCT
cana-3844	514	38	1200	1200	NUM
cana-3844	514	39	ppm	ppm	NOUN
cana-3844	514	40	co2	co2	NOUN
cana-3844	514	41	1.41	1.41	NUM
cana-3844	514	42	1.45	1.45	NUM
cana-3844	514	43	0.26	0.26	NUM
cana-3844	514	44	1.2	1.2	NUM
cana-3844	514	45	128.7	128.7	NUM
cana-3844	514	46	8.4	8.4	NUM
cana-3844	514	47	7.09	7.09	NUM
cana-3844	514	48	28.4	28.4	NUM
cana-3844	514	49	exp9	exp9	NOUN
cana-3844	514	50	0	0	NUM
cana-3844	515	1	ppm	ppm	NOUN
cana-3844	515	2	nh32350	nh32350	PROPN
cana-3844	515	3	ppm	ppm	NOUN
cana-3844	515	4	co2	co2	NOUN
cana-3844	515	5	0.85	0.85	NUM
cana-3844	515	6	0.88	0.88	NUM
cana-3844	515	7	0.28	0.28	NUM
cana-3844	515	8	1.73	1.73	NUM
cana-3844	515	9	6.30	6.30	NUM
cana-3844	515	10	0.41	0.41	NUM
cana-3844	515	11	0.34	0.34	NUM
cana-3844	515	12	0	0	NUM
cana-3844	515	13	exp10	exp10	NOUN
cana-3844	515	14	12	12	NUM
cana-3844	515	15	ppm	ppm	NOUN
cana-3844	515	16	nh3	nh3	NUM
cana-3844	515	17	-	-	SYM
cana-3844	515	18	2350	2350	NUM
cana-3844	515	19	ppm	ppm	NOUN
cana-3844	515	20	co2	co2	VERB
cana-3844	515	21	1.76	1.76	NUM
cana-3844	515	22	1.77	1.77	NUM
cana-3844	515	23	0.34	0.34	NUM
cana-3844	515	24	1.06	1.06	NUM
cana-3844	515	25	163.8	163.8	NUM
cana-3844	515	26	5.46	5.46	NUM
cana-3844	515	27	9.02	9.02	NUM
cana-3844	515	28	80.0	80.0	NUM
cana-3844	515	29	exp11	exp11	NOUN
cana-3844	515	30	25	25	NUM
cana-3844	515	31	ppm	ppm	NOUN
cana-3844	515	32	nh3	nh3	PROPN
cana-3844	515	33	-	-	SYM
cana-3844	515	34	2350	2350	NUM
cana-3844	515	35	ppm	ppm	NOUN
cana-3844	515	36	co2	co2	VERB
cana-3844	515	37	2.04	2.04	NUM
cana-3844	515	38	2.16	2.16	NUM
cana-3844	515	39	0.43	0.43	NUM
cana-3844	515	40	0.58	0.58	NUM
cana-3844	515	41	432.2	432.2	NUM
cana-3844	515	42	14.4	14.4	NUM
cana-3844	515	43	23.8	23.8	NUM
cana-3844	515	44	99.8	99.8	NUM
cana-3844	515	45	exp12	exp12	PROPN
cana-3844	515	46	50	50	NUM
cana-3844	515	47	ppm	ppm	NOUN
cana-3844	515	48	nh3	nh3	NUM
cana-3844	515	49	-	-	SYM
cana-3844	515	50	2350	2350	NUM
cana-3844	515	51	ppm	ppm	NOUN
cana-3844	515	52	co2	co2	NOUN
cana-3844	515	53	1.32	1.32	NUM
cana-3844	515	54	1.33	1.33	NUM
cana-3844	515	55	0.35	0.35	NUM
cana-3844	515	56	0.73	0.73	NUM
cana-3844	515	57	252.9	252.9	NUM
cana-3844	515	58	8.43	8.43	NUM
cana-3844	515	59	13.9	13.9	NUM
cana-3844	515	60	55.7	55.7	NUM
cana-3844	515	61	exp13	exp13	NOUN
cana-3844	515	62	0	0	NUM
cana-3844	515	63	ppm	ppm	NOUN
cana-3844	515	64	nh33500	nh33500	NOUN
cana-3844	515	65	ppm	ppm	NOUN
cana-3844	515	66	co2	co2	NOUN
cana-3844	515	67	1.17	1.17	NUM
cana-3844	515	68	1.19	1.19	NUM
cana-3844	515	69	0.31	0.31	NUM
cana-3844	515	70	1.26	1.26	NUM
cana-3844	515	71	54.4	54.4	NUM
cana-3844	515	72	1.21	1.21	NUM
cana-3844	515	73	2.99	2.99	NUM
cana-3844	515	74	0	0	NUM
cana-3844	516	1	exp14	exp14	NOUN
cana-3844	516	2	12	12	NUM
cana-3844	516	3	ppm	ppm	NOUN
cana-3844	516	4	nh3	nh3	NUM
cana-3844	516	5	-	-	SYM
cana-3844	516	6	3500	3500	NUM
cana-3844	516	7	ppm	ppm	NOUN
cana-3844	516	8	co2	co2	NOUN
cana-3844	516	9	2.21	2.21	NUM
cana-3844	516	10	2.22	2.22	NUM
cana-3844	516	11	0.49	0.49	NUM
cana-3844	516	12	0.75	0.75	NUM
cana-3844	516	13	267.3	267.3	NUM
cana-3844	516	14	5.98	5.98	NUM
cana-3844	516	15	14.77	14.77	NUM
cana-3844	516	16	97.2	97.2	NUM
cana-3844	516	17	exp15	exp15	PROPN
cana-3844	516	18	25	25	NUM
cana-3844	516	19	ppm	ppm	NOUN
cana-3844	516	20	nh3	nh3	NUM
cana-3844	516	21	-	-	SYM
cana-3844	516	22	3500	3500	NUM
cana-3844	516	23	ppm	ppm	NOUN
cana-3844	516	24	co2	co2	NOUN
cana-3844	516	25	1.56	1.56	NUM
cana-3844	516	26	1.53	1.53	NUM
cana-3844	516	27	0.83	0.83	NUM
cana-3844	516	28	1.58	1.58	NUM
cana-3844	516	29	105.8	105.8	NUM
cana-3844	516	30	2.36	2.36	NUM
cana-3844	516	31	5.83	5.83	NUM
cana-3844	516	32	46.7	46.7	NUM
cana-3844	516	33	communications	communication	NOUN
cana-3844	516	34	on	on	ADP
cana-3844	516	35	applied	apply	VERB
cana-3844	516	36	nonlinear	nonlinear	ADJ
cana-3844	516	37	analysis	analysis	NOUN
cana-3844	516	38	issn	issn	NOUN
cana-3844	516	39	:	:	PUNCT
cana-3844	516	40	1074	1074	NUM
cana-3844	516	41	-	-	PUNCT
cana-3844	516	42	133x	133x	NUM
cana-3844	516	43	vol	vol	NOUN
cana-3844	516	44	32	32	NUM
cana-3844	516	45	no	no	NOUN
cana-3844	516	46	.	.	PUNCT
cana-3844	517	1	9s	9s	NUM
cana-3844	517	2	(	(	PUNCT
cana-3844	517	3	2025	2025	NUM
cana-3844	517	4	)	)	PUNCT
cana-3844	517	5	156	156	NUM
cana-3844	517	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	517	7	exp16	exp16	VERB
cana-3844	517	8	50	50	NUM
cana-3844	517	9	ppm	ppm	NOUN
cana-3844	517	10	nh3	nh3	NUM
cana-3844	517	11	-	-	SYM
cana-3844	517	12	3500	3500	NUM
cana-3844	517	13	ppm	ppm	NOUN
cana-3844	517	14	co2	co2	NOUN
cana-3844	517	15	1.21	1.21	NUM
cana-3844	517	16	1.23	1.23	NUM
cana-3844	517	17	0.51	0.51	NUM
cana-3844	517	18	1.23	1.23	NUM
cana-3844	517	19	105.6	105.6	NUM
cana-3844	517	20	2.36	2.36	NUM
cana-3844	517	21	5.81	5.81	NUM
cana-3844	517	22	23.3	23.3	NUM
cana-3844	517	23	step2	step2	NOUN
cana-3844	517	24	we	we	PRON
cana-3844	517	25	normalized	normalize	VERB
cana-3844	517	26	the	the	DET
cana-3844	517	27	decision	decision	NOUN
cana-3844	517	28	matrix	matrix	NOUN
cana-3844	517	29	given	give	VERB
cana-3844	517	30	in	in	ADP
cana-3844	517	31	table	table	NOUN
cana-3844	517	32	7	7	NUM
cana-3844	517	33	by	by	ADP
cana-3844	517	34	using	use	VERB
cana-3844	517	35	equation	equation	NOUN
cana-3844	517	36	(	(	PUNCT
cana-3844	517	37	42	42	NUM
cana-3844	517	38	)	)	PUNCT
cana-3844	517	39	.	.	PUNCT
cana-3844	518	1	table	table	NOUN
cana-3844	518	2	7	7	NUM
cana-3844	518	3	:	:	PUNCT
cana-3844	518	4	normalized	normalize	VERB
cana-3844	518	5	decision	decision	NOUN
cana-3844	518	6	matrix	matrix	NOUN
cana-3844	518	7	experiments	experiment	NOUN
cana-3844	518	8	/	/	SYM
cana-3844	518	9	criteria	criterion	NOUN
cana-3844	518	10	ℜ1	ℜ1	ADV
cana-3844	518	11	ℜ2	ℜ2	VERB
cana-3844	519	1	ℜ3	ℜ3	PROPN
cana-3844	519	2	ℜ4	ℜ4	PROPN
cana-3844	519	3	ℜ5	ℜ5	PROPN
cana-3844	519	4	ℜ6	ℜ6	PROPN
cana-3844	519	5	ℜ7	ℜ7	PROPN
cana-3844	519	6	ℜ8	ℜ8	PROPN
cana-3844	519	7	ℑ1	ℑ1	PROPN
cana-3844	519	8	0	0	NUM
cana-3844	519	9	0	0	NUM
cana-3844	519	10	0.3333	0.3333	NUM
cana-3844	519	11	1.0000	1.0000	NUM
cana-3844	519	12	0	0	NUM
cana-3844	519	13	0	0	NUM
cana-3844	519	14	0	0	NUM
cana-3844	519	15	0	0	NUM
cana-3844	519	16	ℑ2	ℑ2	VERB
cana-3844	519	17	0.3653	0.3653	NUM
cana-3844	519	18	0.3210	0.3210	NUM
cana-3844	519	19	0.5000	0.5000	NUM
cana-3844	519	20	0.1503	0.1503	NUM
cana-3844	519	21	0.2302	0.2302	NUM
cana-3844	520	1	0.9370	0.9370	NUM
cana-3844	520	2	0.2303	0.2303	NUM
cana-3844	520	3	0.7675	0.7675	NUM
cana-3844	520	4	ℑ3	ℑ3	PROPN
cana-3844	520	5	0.4371	0.4371	NUM
cana-3844	520	6	0.3704	0.3704	NUM
cana-3844	520	7	0.7051	0.7051	NUM
cana-3844	520	8	0.5420	0.5420	NUM
cana-3844	520	9	0.1893	0.1893	NUM
cana-3844	520	10	0.7689	0.7689	NUM
cana-3844	520	11	0.1891	0.1891	NUM
cana-3844	520	12	0.3617	0.3617	NUM
cana-3844	520	13	ℑ4	ℑ4	NOUN
cana-3844	520	14	0.4132	0.4132	NUM
cana-3844	520	15	0.3951	0.3951	NUM
cana-3844	520	16	0.5128	0.5128	NUM
cana-3844	520	17	0.6049	0.6049	NUM
cana-3844	520	18	0.1643	0.1643	NUM
cana-3844	520	19	0.6681	0.6681	NUM
cana-3844	520	20	0.1639	0.1639	NUM
cana-3844	520	21	0.1563	0.1563	NUM
cana-3844	520	22	ℑ5	ℑ5	NOUN
cana-3844	520	23	0.0898	0.0898	NUM
cana-3844	520	24	0.0741	0.0741	NUM
cana-3844	520	25	0	0	NUM
cana-3844	521	1	0.2622	0.2622	NUM
cana-3844	521	2	0	0	NUM
cana-3844	521	3	0	0	NUM
cana-3844	521	4	0	0	NUM
cana-3844	521	5	0	0	NUM
cana-3844	521	6	ℑ6	ℑ6	VERB
cana-3844	521	7	0.7425	0.7425	NUM
cana-3844	521	8	0.7407	0.7407	NUM
cana-3844	521	9	0.3846	0.3846	NUM
cana-3844	521	10	0.1678	0.1678	NUM
cana-3844	521	11	0.4466	0.4466	NUM
cana-3844	521	12	0.5294	0.5294	NUM
cana-3844	521	13	0.4454	0.4454	NUM
cana-3844	521	14	0.9459	0.9459	NUM
cana-3844	521	15	ℑ7	ℑ7	NOUN
cana-3844	521	16	0.8443	0.8443	NUM
cana-3844	521	17	0.8642	0.8642	NUM
cana-3844	521	18	0.7308	0.7308	NUM
cana-3844	521	19	0	0	NUM
cana-3844	521	20	0.8441	0.8441	NUM
cana-3844	521	21	1.0000	1.0000	NUM
cana-3844	521	22	0.8445	0.8445	NUM
cana-3844	521	23	0.8547	0.8547	NUM
cana-3844	521	24	ℑ8	ℑ8	NOUN
cana-3844	521	25	0.5210	0.5210	NUM
cana-3844	521	26	0.5247	0.5247	NUM
cana-3844	521	27	0.2692	0.2692	NUM
cana-3844	521	28	0.2343	0.2343	NUM
cana-3844	521	29	0.2978	0.2978	NUM
cana-3844	521	30	0.3529	0.3529	NUM
cana-3844	521	31	0.2979	0.2979	NUM
cana-3844	521	32	0.2846	0.2846	NUM
cana-3844	521	33	ℑ9	ℑ9	NOUN
cana-3844	521	34	0.1856	0.1856	NUM
cana-3844	521	35	0.1728	0.1728	NUM
cana-3844	521	36	0.2949	0.2949	NUM
cana-3844	521	37	0.4196	0.4196	NUM
cana-3844	521	38	0.0146	0.0146	NUM
cana-3844	521	39	0.0172	0.0172	NUM
cana-3844	521	40	0.0143	0.0143	NUM
cana-3844	521	41	0	0	PUNCT
cana-3844	522	1	ℑ10	ℑ10	NOUN
cana-3844	522	2	0.7305	0.7305	NUM
cana-3844	522	3	0.7222	0.7222	NUM
cana-3844	522	4	0.3718	0.3718	NUM
cana-3844	522	5	0.1853	0.1853	NUM
cana-3844	522	6	0.3790	0.3790	NUM
cana-3844	522	7	0.2294	0.2294	NUM
cana-3844	522	8	0.3790	0.3790	NUM
cana-3844	522	9	0.8016	0.8016	NUM
cana-3844	522	10	ℑ11	ℑ11	PROPN
cana-3844	522	11	0.8982	0.8982	NUM
cana-3844	522	12	0.9630	0.9630	NUM
cana-3844	522	13	0.4872	0.4872	NUM
cana-3844	523	1	0.0175	0.0175	NUM
cana-3844	523	2	1.0000	1.0000	NUM
cana-3844	523	3	0.6050	0.6050	NUM
cana-3844	523	4	1.0000	1.0000	NUM
cana-3844	523	5	1.0000	1.0000	NUM
cana-3844	523	6	ℑ12	ℑ12	PROPN
cana-3844	523	7	0.4671	0.4671	NUM
cana-3844	523	8	0.4506	0.4506	NUM
cana-3844	523	9	0.3846	0.3846	NUM
cana-3844	523	10	0.0699	0.0699	NUM
cana-3844	523	11	0.5851	0.5851	NUM
cana-3844	523	12	0.3542	0.3542	NUM
cana-3844	523	13	0.5840	0.5840	NUM
cana-3844	523	14	0.5581	0.5581	NUM
cana-3844	523	15	ℑ13	ℑ13	NOUN
cana-3844	523	16	0.3772	0.3772	NUM
cana-3844	523	17	0.3642	0.3642	NUM
cana-3844	523	18	0.3333	0.3333	NUM
cana-3844	523	19	0.2552	0.2552	NUM
cana-3844	523	20	0.1259	0.1259	NUM
cana-3844	523	21	0.0508	0.0508	NUM
cana-3844	523	22	0.1256	0.1256	NUM
cana-3844	523	23	0	0	NUM
cana-3844	523	24	ℑ14	ℑ14	PROPN
cana-3844	523	25	1.0000	1.0000	NUM
cana-3844	523	26	1.0000	1.0000	NUM
cana-3844	523	27	0.5641	0.5641	NUM
cana-3844	523	28	0.0769	0.0769	NUM
cana-3844	523	29	0.6185	0.6185	NUM
cana-3844	523	30	0.2513	0.2513	NUM
cana-3844	523	31	0.6176	0.6176	NUM
cana-3844	523	32	0.9739	0.9739	NUM
cana-3844	523	33	ℑ15	ℑ15	PROPN
cana-3844	523	34	0.6108	0.6108	NUM
cana-3844	523	35	0.5741	0.5741	NUM
cana-3844	523	36	1.0000	1.0000	NUM
cana-3844	523	37	0.3671	0.3671	NUM
cana-3844	523	38	0.2448	0.2448	NUM
cana-3844	523	39	0.0992	0.0992	NUM
cana-3844	523	40	0.2450	0.2450	NUM
cana-3844	523	41	0.4679	0.4679	NUM
cana-3844	523	42	ℑ16	ℑ16	NUM
cana-3844	523	43	0.4012	0.4012	NUM
cana-3844	523	44	0.3889	0.3889	NUM
cana-3844	523	45	0.5897	0.5897	NUM
cana-3844	523	46	0.2448	0.2448	NUM
cana-3844	523	47	0.2443	0.2443	NUM
cana-3844	523	48	0.0992	0.0992	NUM
cana-3844	523	49	0.2441	0.2441	NUM
cana-3844	523	50	0.2335	0.2335	NUM
cana-3844	523	51	step	step	NOUN
cana-3844	523	52	3	3	NUM
cana-3844	523	53	we	we	PRON
cana-3844	523	54	compute	compute	VERB
cana-3844	523	55	the	the	DET
cana-3844	523	56	criteria	criterion	NOUN
cana-3844	523	57	weights	weight	VERB
cana-3844	523	58	.	.	PUNCT
cana-3844	524	1	let	let	VERB
cana-3844	524	2	us	we	PRON
cana-3844	524	3	consider	consider	VERB
cana-3844	524	4	criteria	criterion	NOUN
cana-3844	524	5	weights	weight	NOUN
cana-3844	524	6	are	be	AUX
cana-3844	524	7	incompletely	incompletely	ADV
cana-3844	524	8	known	know	VERB
cana-3844	524	9	or	or	CCONJ
cana-3844	524	10	unknown	unknown	ADJ
cana-3844	524	11	,	,	PUNCT
cana-3844	524	12	then	then	ADV
cana-3844	524	13	by	by	ADP
cana-3844	524	14	using	use	VERB
cana-3844	524	15	eq	eq	ADP
cana-3844	524	16	.	.	PUNCT
cana-3844	525	1	(	(	PUNCT
cana-3844	525	2	44	44	NUM
cana-3844	525	3	)	)	PUNCT
cana-3844	525	4	,	,	PUNCT
cana-3844	525	5	we	we	PRON
cana-3844	525	6	have	have	VERB
cana-3844	525	7	𝑊𝑡	𝑊𝑡	PROPN
cana-3844	525	8	=	=	PUNCT
cana-3844	525	9	{	{	PUNCT
cana-3844	525	10	0.0243,0.0505,0.0671,0.1007,0.1343,0.1716,0.2053,0.2462	0.0243,0.0505,0.0671,0.1007,0.1343,0.1716,0.2053,0.2462	NOUN
cana-3844	525	11	}	}	PUNCT
cana-3844	525	12	.	.	PUNCT
cana-3844	526	1	(	(	PUNCT
cana-3844	526	2	56	56	NUM
cana-3844	526	3	)	)	PUNCT
cana-3844	526	4	step	step	NOUN
cana-3844	526	5	4	4	NUM
cana-3844	526	6	we	we	PRON
cana-3844	526	7	find	find	VERB
cana-3844	526	8	absolute	absolute	ADJ
cana-3844	526	9	coefficient	coefficient	NOUN
cana-3844	526	10	matrix	matrix	NOUN
cana-3844	526	11	given	give	VERB
cana-3844	526	12	in	in	ADP
cana-3844	526	13	table	table	NOUN
cana-3844	526	14	(	(	PUNCT
cana-3844	526	15	8)	8)	NUM
cana-3844	526	16	using	use	VERB
cana-3844	526	17	equation	equation	NOUN
cana-3844	526	18	(	(	PUNCT
cana-3844	526	19	49	49	NUM
cana-3844	526	20	)	)	PUNCT
cana-3844	526	21	communications	communication	NOUN
cana-3844	526	22	on	on	ADP
cana-3844	526	23	applied	apply	VERB
cana-3844	526	24	nonlinear	nonlinear	ADJ
cana-3844	526	25	analysis	analysis	NOUN
cana-3844	526	26	issn	issn	NOUN
cana-3844	526	27	:	:	PUNCT
cana-3844	526	28	1074	1074	NUM
cana-3844	526	29	-	-	PUNCT
cana-3844	526	30	133x	133x	NUM
cana-3844	526	31	vol	vol	NOUN
cana-3844	526	32	32	32	NUM
cana-3844	526	33	no	no	NOUN
cana-3844	526	34	.	.	PUNCT
cana-3844	527	1	9s	9s	NUM
cana-3844	527	2	(	(	PUNCT
cana-3844	527	3	2025	2025	NUM
cana-3844	527	4	)	)	PUNCT
cana-3844	527	5	157	157	NUM
cana-3844	527	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	527	7	table	table	NOUN
cana-3844	527	8	8	8	NUM
cana-3844	527	9	:	:	PUNCT
cana-3844	527	10	absolute	absolute	ADJ
cana-3844	527	11	coefficient	coefficient	NOUN
cana-3844	527	12	matrix	matrix	NOUN
cana-3844	527	13	.	.	PUNCT
cana-3844	528	1	experiments	experiment	NOUN
cana-3844	528	2	/	/	SYM
cana-3844	528	3	criteria	criterion	NOUN
cana-3844	528	4	ℜ1	ℜ1	ADV
cana-3844	528	5	ℜ2	ℜ2	VERB
cana-3844	528	6	ℜ3	ℜ3	PROPN
cana-3844	528	7	ℜ4	ℜ4	PROPN
cana-3844	528	8	ℜ5	ℜ5	PROPN
cana-3844	528	9	ℜ6	ℜ6	PROPN
cana-3844	528	10	ℜ7	ℜ7	PROPN
cana-3844	528	11	ℜ8	ℜ8	PROPN
cana-3844	528	12	ℑ1	ℑ1	PROPN
cana-3844	528	13	1.0000	1.0000	NUM
cana-3844	528	14	1.0000	1.0000	NUM
cana-3844	528	15	0.6667	0.6667	NUM
cana-3844	528	16	0	0	NUM
cana-3844	528	17	1.0000	1.0000	NUM
cana-3844	528	18	1.0000	1.0000	NUM
cana-3844	528	19	1.0000	1.0000	NUM
cana-3844	528	20	1.0000	1.0000	NUM
cana-3844	528	21	ℑ2	ℑ2	VERB
cana-3844	528	22	0.6347	0.6347	NUM
cana-3844	528	23	0.6790	0.6790	NUM
cana-3844	528	24	0.5000	0.5000	NUM
cana-3844	528	25	0.8497	0.8497	NUM
cana-3844	528	26	0.7698	0.7698	NUM
cana-3844	529	1	0.0630	0.0630	NUM
cana-3844	529	2	0.7697	0.7697	NUM
cana-3844	529	3	0.2325	0.2325	NUM
cana-3844	529	4	ℑ3	ℑ3	PROPN
cana-3844	529	5	0.5629	0.5629	NUM
cana-3844	529	6	0.6296	0.6296	NUM
cana-3844	529	7	0.2949	0.2949	NUM
cana-3844	529	8	0.4580	0.4580	NUM
cana-3844	529	9	0.8107	0.8107	NUM
cana-3844	529	10	0.2311	0.2311	NUM
cana-3844	529	11	0.8109	0.8109	NUM
cana-3844	529	12	0.6383	0.6383	NUM
cana-3844	529	13	ℑ4	ℑ4	NOUN
cana-3844	529	14	0.5868	0.5868	NUM
cana-3844	529	15	0.6049	0.6049	NUM
cana-3844	529	16	0.4872	0.4872	NUM
cana-3844	529	17	0.3951	0.3951	NUM
cana-3844	529	18	0.8357	0.8357	NUM
cana-3844	529	19	0.3319	0.3319	NUM
cana-3844	529	20	0.8361	0.8361	NUM
cana-3844	529	21	0.8437	0.8437	NUM
cana-3844	529	22	ℑ5	ℑ5	NOUN
cana-3844	529	23	0.9102	0.9102	NUM
cana-3844	529	24	0.9259	0.9259	NUM
cana-3844	529	25	1.0000	1.0000	NUM
cana-3844	529	26	0.7378	0.7378	NUM
cana-3844	529	27	1.0000	1.0000	NUM
cana-3844	529	28	1.0000	1.0000	NUM
cana-3844	529	29	1.0000	1.0000	NUM
cana-3844	529	30	1.0000	1.0000	NUM
cana-3844	529	31	ℑ6	ℑ6	NOUN
cana-3844	529	32	0.2575	0.2575	NUM
cana-3844	529	33	0.2593	0.2593	NUM
cana-3844	529	34	0.6154	0.6154	NUM
cana-3844	529	35	0.8322	0.8322	NUM
cana-3844	529	36	0.5534	0.5534	NUM
cana-3844	529	37	0.4706	0.4706	NUM
cana-3844	529	38	0.5546	0.5546	NUM
cana-3844	529	39	0.0541	0.0541	NUM
cana-3844	529	40	ℑ7	ℑ7	NOUN
cana-3844	529	41	0.1557	0.1557	NUM
cana-3844	529	42	0.1358	0.1358	NUM
cana-3844	529	43	0.2692	0.2692	NUM
cana-3844	529	44	1.0000	1.0000	NUM
cana-3844	529	45	0.1559	0.1559	NUM
cana-3844	529	46	0	0	NUM
cana-3844	530	1	0.1555	0.1555	NUM
cana-3844	530	2	0.1453	0.1453	NUM
cana-3844	530	3	ℑ8	ℑ8	NOUN
cana-3844	530	4	0.4790	0.4790	NUM
cana-3844	530	5	0.4753	0.4753	NUM
cana-3844	530	6	0.7308	0.7308	NUM
cana-3844	530	7	0.7657	0.7657	NUM
cana-3844	530	8	0.7022	0.7022	NUM
cana-3844	530	9	0.6471	0.6471	NUM
cana-3844	530	10	0.7021	0.7021	NUM
cana-3844	530	11	0.7154	0.7154	NUM
cana-3844	530	12	ℑ9	ℑ9	NOUN
cana-3844	530	13	0.8144	0.8144	NUM
cana-3844	530	14	0.8272	0.8272	NUM
cana-3844	530	15	0.7051	0.7051	NUM
cana-3844	530	16	0.5804	0.5804	NUM
cana-3844	530	17	0.9854	0.9854	NUM
cana-3844	531	1	0.9828	0.9828	NUM
cana-3844	531	2	0.9857	0.9857	NUM
cana-3844	531	3	1.0000	1.0000	NUM
cana-3844	531	4	ℑ10	ℑ10	NOUN
cana-3844	531	5	0.2695	0.2695	NUM
cana-3844	531	6	0.2778	0.2778	NUM
cana-3844	531	7	0.6282	0.6282	NUM
cana-3844	531	8	0.8147	0.8147	NUM
cana-3844	531	9	0.6210	0.6210	NUM
cana-3844	531	10	0.7706	0.7706	NUM
cana-3844	531	11	0.6210	0.6210	NUM
cana-3844	531	12	0.1984	0.1984	NUM
cana-3844	531	13	ℑ11	ℑ11	PROPN
cana-3844	531	14	0.1018	0.1018	NUM
cana-3844	531	15	0.0370	0.0370	NUM
cana-3844	531	16	0.5128	0.5128	NUM
cana-3844	531	17	0.9825	0.9825	NUM
cana-3844	531	18	0	0	PUNCT
cana-3844	531	19	0.3950	0.3950	NUM
cana-3844	531	20	0	0	NUM
cana-3844	531	21	0	0	NUM
cana-3844	532	1	ℑ12	ℑ12	PROPN
cana-3844	532	2	0.5329	0.5329	NUM
cana-3844	532	3	0.5494	0.5494	NUM
cana-3844	532	4	0.6154	0.6154	NUM
cana-3844	532	5	0.9301	0.9301	NUM
cana-3844	532	6	0.4149	0.4149	NUM
cana-3844	532	7	0.6458	0.6458	NUM
cana-3844	532	8	0.4160	0.4160	NUM
cana-3844	532	9	0.4419	0.4419	NUM
cana-3844	532	10	ℑ13	ℑ13	NOUN
cana-3844	532	11	0.6228	0.6228	NUM
cana-3844	532	12	0.6358	0.6358	NUM
cana-3844	532	13	0.6667	0.6667	NUM
cana-3844	532	14	0.7448	0.7448	NUM
cana-3844	532	15	0.8741	0.8741	NUM
cana-3844	532	16	0.9492	0.9492	NUM
cana-3844	532	17	0.8744	0.8744	NUM
cana-3844	532	18	1.0000	1.0000	NUM
cana-3844	532	19	ℑ14	ℑ14	PROPN
cana-3844	532	20	0	0	NUM
cana-3844	532	21	0	0	NUM
cana-3844	532	22	0.4359	0.4359	NUM
cana-3844	532	23	0.9231	0.9231	NUM
cana-3844	532	24	0.3815	0.3815	NUM
cana-3844	532	25	0.7487	0.7487	NUM
cana-3844	532	26	0.3824	0.3824	NUM
cana-3844	532	27	0.0261	0.0261	NUM
cana-3844	533	1	ℑ15	ℑ15	PROPN
cana-3844	533	2	0.3892	0.3892	NUM
cana-3844	534	1	0.4259	0.4259	NUM
cana-3844	534	2	0	0	NUM
cana-3844	534	3	0.6329	0.6329	NUM
cana-3844	534	4	0.7552	0.7552	NUM
cana-3844	534	5	0.9008	0.9008	NUM
cana-3844	534	6	0.7550	0.7550	NUM
cana-3844	534	7	0.5321	0.5321	NUM
cana-3844	534	8	ℑ16	ℑ16	NUM
cana-3844	534	9	0.5988	0.5988	NUM
cana-3844	534	10	0.6111	0.6111	NUM
cana-3844	534	11	0.4103	0.4103	NUM
cana-3844	534	12	0.7552	0.7552	NUM
cana-3844	534	13	0.7557	0.7557	NUM
cana-3844	534	14	0.9008	0.9008	NUM
cana-3844	534	15	0.7559	0.7559	NUM
cana-3844	534	16	0.7665	0.7665	NUM
cana-3844	534	17	step	step	NOUN
cana-3844	534	18	5	5	NUM
cana-3844	534	19	calculating	calculate	VERB
cana-3844	534	20	grey	grey	PROPN
cana-3844	534	21	relation	relation	NOUN
cana-3844	534	22	coefficient	coefficient	NOUN
cana-3844	534	23	matrix	matrix	NOUN
cana-3844	534	24	using	use	VERB
cana-3844	534	25	equation	equation	NOUN
cana-3844	534	26	(	(	PUNCT
cana-3844	534	27	51	51	NUM
cana-3844	534	28	)	)	PUNCT
cana-3844	534	29	given	give	VERB
cana-3844	534	30	in	in	ADP
cana-3844	534	31	table	table	NOUN
cana-3844	534	32	9	9	NUM
cana-3844	534	33	,	,	PUNCT
cana-3844	534	34	step	step	NOUN
cana-3844	534	35	6	6	NUM
cana-3844	534	36	calculating	calculate	VERB
cana-3844	534	37	grey	grey	ADJ
cana-3844	534	38	relation	relation	NOUN
cana-3844	534	39	degrees	degree	NOUN
cana-3844	534	40	using	use	VERB
cana-3844	534	41	equation	equation	NOUN
cana-3844	534	42	(	(	PUNCT
cana-3844	534	43	55	55	NUM
cana-3844	534	44	)	)	PUNCT
cana-3844	534	45	given	give	VERB
cana-3844	534	46	in	in	ADP
cana-3844	534	47	table	table	NOUN
cana-3844	534	48	9	9	NUM
cana-3844	534	49	.	.	PUNCT
cana-3844	534	50	table	table	NOUN
cana-3844	534	51	9	9	NUM
cana-3844	534	52	:	:	PUNCT
cana-3844	534	53	grey	grey	PROPN
cana-3844	534	54	relation	relation	NOUN
cana-3844	534	55	coefficient	coefficient	NOUN
cana-3844	534	56	matrix	matrix	NOUN
cana-3844	534	57	.	.	PUNCT
cana-3844	535	1	experiments	experiment	NOUN
cana-3844	535	2	/	/	SYM
cana-3844	535	3	criteria	criterion	NOUN
cana-3844	535	4	ℜ1	ℜ1	ADV
cana-3844	535	5	ℜ2	ℜ2	VERB
cana-3844	535	6	ℜ3	ℜ3	PROPN
cana-3844	535	7	ℜ4	ℜ4	PROPN
cana-3844	535	8	ℜ5	ℜ5	PROPN
cana-3844	535	9	ℜ6	ℜ6	PROPN
cana-3844	535	10	ℜ7	ℜ7	PROPN
cana-3844	535	11	ℜ8	ℜ8	PROPN
cana-3844	535	12	γ0𝑖	γ0𝑖	PROPN
cana-3844	535	13	rank	rank	PROPN
cana-3844	535	14	ℑ1	ℑ1	NOUN
cana-3844	535	15	0.3333	0.3333	NUM
cana-3844	535	16	0.3333	0.3333	NUM
cana-3844	535	17	0.4286	0.4286	NUM
cana-3844	535	18	1.0000	1.0000	NUM
cana-3844	535	19	0.3333	0.3333	NUM
cana-3844	535	20	0.3333	0.3333	NUM
cana-3844	535	21	0.3333	0.3333	NUM
cana-3844	535	22	0.3333	0.3333	NUM
cana-3844	535	23	0.4068	0.4068	NUM
cana-3844	535	24	12	12	NUM
cana-3844	535	25	ℑ2	ℑ2	ADJ
cana-3844	535	26	0.4406	0.4406	NUM
cana-3844	535	27	0.4241	0.4241	NUM
cana-3844	535	28	0.5000	0.5000	NUM
cana-3844	535	29	0.3705	0.3705	NUM
cana-3844	535	30	0.3938	0.3938	NUM
cana-3844	535	31	0.8881	0.8881	NUM
cana-3844	535	32	0.3938	0.3938	NUM
cana-3844	535	33	0.6826	0.6826	NUM
cana-3844	535	34	0.5572	0.5572	NUM
cana-3844	535	35	5	5	NUM
cana-3844	535	36	ℑ3	ℑ3	PROPN
cana-3844	535	37	0.4704	0.4704	NUM
cana-3844	535	38	0.4426	0.4426	NUM
cana-3844	535	39	0.6290	0.6290	NUM
cana-3844	535	40	0.5219	0.5219	NUM
cana-3844	535	41	0.3815	0.3815	NUM
cana-3844	535	42	0.6839	0.6839	NUM
cana-3844	535	43	0.3814	0.3814	NUM
cana-3844	535	44	0.4393	0.4393	NUM
cana-3844	535	45	0.4836	0.4836	NUM
cana-3844	535	46	8	8	NUM
cana-3844	535	47	ℑ4	ℑ4	NOUN
cana-3844	535	48	0.4601	0.4601	NUM
cana-3844	535	49	0.4525	0.4525	NUM
cana-3844	535	50	0.5065	0.5065	NUM
cana-3844	535	51	0.5586	0.5586	NUM
cana-3844	535	52	0.3743	0.3743	NUM
cana-3844	535	53	0.6010	0.6010	NUM
cana-3844	535	54	0.3742	0.3742	NUM
cana-3844	535	55	0.3721	0.3721	NUM
cana-3844	535	56	0.4461	0.4461	NUM
cana-3844	535	57	10	10	NUM
cana-3844	535	58	ℑ5	ℑ5	NOUN
cana-3844	535	59	0.3546	0.3546	NUM
cana-3844	535	60	0.3506	0.3506	NUM
cana-3844	535	61	0.3333	0.3333	NUM
cana-3844	535	62	0.4040	0.4040	NUM
cana-3844	535	63	0.3333	0.3333	NUM
cana-3844	535	64	0.3333	0.3333	NUM
cana-3844	535	65	0.3333	0.3333	NUM
cana-3844	535	66	0.3333	0.3333	NUM
cana-3844	535	67	0.3418	0.3418	NUM
cana-3844	535	68	16	16	NUM
cana-3844	535	69	communications	communication	NOUN
cana-3844	535	70	on	on	ADP
cana-3844	535	71	applied	apply	VERB
cana-3844	535	72	nonlinear	nonlinear	ADJ
cana-3844	535	73	analysis	analysis	NOUN
cana-3844	535	74	issn	issn	NOUN
cana-3844	535	75	:	:	PUNCT
cana-3844	535	76	1074	1074	NUM
cana-3844	535	77	-	-	PUNCT
cana-3844	535	78	133x	133x	NUM
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cana-3844	535	82	.	.	PUNCT
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cana-3844	536	2	(	(	PUNCT
cana-3844	536	3	2025	2025	NUM
cana-3844	536	4	)	)	PUNCT
cana-3844	536	5	158	158	NUM
cana-3844	536	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	536	7	ℑ6	ℑ6	VERB
cana-3844	536	8	0.6601	0.6601	NUM
cana-3844	536	9	0.6585	0.6585	NUM
cana-3844	536	10	0.4483	0.4483	NUM
cana-3844	536	11	0.3753	0.3753	NUM
cana-3844	536	12	0.4746	0.4746	NUM
cana-3844	536	13	0.5152	0.5152	NUM
cana-3844	536	14	0.4741	0.4741	NUM
cana-3844	536	15	0.9024	0.9024	NUM
cana-3844	536	16	0.5888	0.5888	NUM
cana-3844	536	17	4	4	NUM
cana-3844	536	18	ℑ7	ℑ7	NOUN
cana-3844	536	19	0.7626	0.7626	NUM
cana-3844	536	20	0.7864	0.7864	NUM
cana-3844	536	21	0.6500	0.6500	NUM
cana-3844	536	22	0.3333	0.3333	NUM
cana-3844	536	23	0.7623	0.7623	NUM
cana-3844	536	24	1.0000	1.0000	NUM
cana-3844	536	25	0.7628	0.7628	NUM
cana-3844	536	26	0.7748	0.7748	NUM
cana-3844	536	27	0.7568	0.7568	NUM
cana-3844	536	28	2	2	NUM
cana-3844	536	29	ℑ8	ℑ8	NOUN
cana-3844	536	30	0.5107	0.5107	NUM
cana-3844	536	31	0.5127	0.5127	NUM
cana-3844	536	32	0.4063	0.4063	NUM
cana-3844	536	33	0.3950	0.3950	NUM
cana-3844	536	34	0.4159	0.4159	NUM
cana-3844	536	35	0.4359	0.4359	NUM
cana-3844	536	36	0.4159	0.4159	NUM
cana-3844	537	1	0.4114	0.4114	NUM
cana-3844	537	2	0.4227	0.4227	NUM
cana-3844	537	3	11	11	NUM
cana-3844	537	4	ℑ9	ℑ9	NOUN
cana-3844	537	5	0.3804	0.3804	NUM
cana-3844	537	6	0.3767	0.3767	NUM
cana-3844	537	7	0.4149	0.4149	NUM
cana-3844	537	8	0.4628	0.4628	NUM
cana-3844	537	9	0.3366	0.3366	NUM
cana-3844	537	10	0.3372	0.3372	NUM
cana-3844	537	11	0.3365	0.3365	NUM
cana-3844	537	12	0.3333	0.3333	NUM
cana-3844	537	13	0.3569	0.3569	NUM
cana-3844	537	14	15	15	NUM
cana-3844	537	15	ℑ10	ℑ10	NOUN
cana-3844	537	16	0.6498	0.6498	NUM
cana-3844	537	17	0.6429	0.6429	NUM
cana-3844	537	18	0.4432	0.4432	NUM
cana-3844	537	19	0.3803	0.3803	NUM
cana-3844	537	20	0.4460	0.4460	NUM
cana-3844	538	1	0.3935	0.3935	NUM
cana-3844	538	2	0.4460	0.4460	NUM
cana-3844	538	3	0.7159	0.7159	NUM
cana-3844	538	4	0.5115	0.5115	NUM
cana-3844	538	5	6	6	NUM
cana-3844	538	6	ℑ11	ℑ11	PROPN
cana-3844	538	7	0.8308	0.8308	NUM
cana-3844	538	8	0.9310	0.9310	NUM
cana-3844	538	9	0.4937	0.4937	NUM
cana-3844	538	10	0.3373	0.3373	NUM
cana-3844	538	11	1.0000	1.0000	NUM
cana-3844	538	12	0.5587	0.5587	NUM
cana-3844	538	13	1.0000	1.0000	NUM
cana-3844	538	14	1.0000	1.0000	NUM
cana-3844	538	15	0.8160	0.8160	NUM
cana-3844	538	16	1	1	NUM
cana-3844	538	17	ℑ12	ℑ12	PROPN
cana-3844	538	18	0.4841	0.4841	NUM
cana-3844	538	19	0.4765	0.4765	NUM
cana-3844	538	20	0.4483	0.4483	NUM
cana-3844	538	21	0.3496	0.3496	NUM
cana-3844	538	22	0.5465	0.5465	NUM
cana-3844	538	23	0.4364	0.4364	NUM
cana-3844	538	24	0.5459	0.5459	NUM
cana-3844	538	25	0.5309	0.5309	NUM
cana-3844	538	26	0.4922	0.4922	NUM
cana-3844	538	27	7	7	NUM
cana-3844	538	28	ℑ13	ℑ13	PROPN
cana-3844	538	29	0.4453	0.4453	NUM
cana-3844	538	30	0.4402	0.4402	NUM
cana-3844	538	31	0.4286	0.4286	NUM
cana-3844	538	32	0.4017	0.4017	NUM
cana-3844	538	33	0.3639	0.3639	NUM
cana-3844	539	1	0.3450	0.3450	NUM
cana-3844	539	2	0.3638	0.3638	NUM
cana-3844	539	3	0.3333	0.3333	NUM
cana-3844	539	4	0.3671	0.3671	NUM
cana-3844	539	5	14	14	NUM
cana-3844	539	6	ℑ14	ℑ14	PROPN
cana-3844	539	7	1.0000	1.0000	NUM
cana-3844	539	8	1.0000	1.0000	NUM
cana-3844	539	9	0.5342	0.5342	NUM
cana-3844	539	10	0.3514	0.3514	NUM
cana-3844	539	11	0.5672	0.5672	NUM
cana-3844	539	12	0.4004	0.4004	NUM
cana-3844	539	13	0.5667	0.5667	NUM
cana-3844	539	14	0.9505	0.9505	NUM
cana-3844	539	15	0.6412	0.6412	NUM
cana-3844	539	16	3	3	NUM
cana-3844	539	17	ℑ15	ℑ15	PROPN
cana-3844	539	18	0.5623	0.5623	NUM
cana-3844	539	19	0.5400	0.5400	NUM
cana-3844	539	20	1.0000	1.0000	NUM
cana-3844	539	21	0.4414	0.4414	NUM
cana-3844	539	22	0.3983	0.3983	NUM
cana-3844	539	23	0.3569	0.3569	NUM
cana-3844	539	24	0.3984	0.3984	NUM
cana-3844	539	25	0.4845	0.4845	NUM
cana-3844	539	26	0.4683	0.4683	NUM
cana-3844	539	27	9	9	NUM
cana-3844	539	28	ℑ16	ℑ16	NUM
cana-3844	539	29	0.4550	0.4550	NUM
cana-3844	539	30	0.4500	0.4500	NUM
cana-3844	539	31	0.5493	0.5493	NUM
cana-3844	539	32	0.3983	0.3983	NUM
cana-3844	539	33	0.3982	0.3982	NUM
cana-3844	539	34	0.3569	0.3569	NUM
cana-3844	539	35	0.3981	0.3981	NUM
cana-3844	539	36	0.3948	0.3948	NUM
cana-3844	539	37	0.4044	0.4044	NUM
cana-3844	539	38	13	13	NUM
cana-3844	539	39	6	6	NUM
cana-3844	539	40	results	result	NOUN
cana-3844	539	41	and	and	CCONJ
cana-3844	539	42	discussion	discussion	NOUN
cana-3844	539	43	reducing	reduce	VERB
cana-3844	539	44	the	the	DET
cana-3844	539	45	atmospheric	atmospheric	ADJ
cana-3844	539	46	pollutants	pollutant	NOUN
cana-3844	539	47	that	that	PRON
cana-3844	539	48	livestock	livestock	NOUN
cana-3844	539	49	farms	farm	NOUN
cana-3844	539	50	send	send	VERB
cana-3844	539	51	into	into	ADP
cana-3844	539	52	the	the	DET
cana-3844	539	53	atmosphere	atmosphere	NOUN
cana-3844	539	54	is	be	AUX
cana-3844	539	55	the	the	DET
cana-3844	539	56	primary	primary	ADJ
cana-3844	539	57	goal	goal	NOUN
cana-3844	539	58	and	and	CCONJ
cana-3844	539	59	the	the	DET
cana-3844	539	60	most	most	ADV
cana-3844	539	61	efficient	efficient	ADJ
cana-3844	539	62	way	way	NOUN
cana-3844	539	63	to	to	PART
cana-3844	539	64	lower	low	ADJ
cana-3844	539	65	𝑁𝐻3	𝑁𝐻3	PROPN
cana-3844	539	66	and	and	CCONJ
cana-3844	539	67	𝐶𝑂2	𝐶𝑂2	PROPN
cana-3844	539	68	gasses	gas	NOUN
cana-3844	539	69	in	in	ADP
cana-3844	539	70	the	the	DET
cana-3844	539	71	barn	barn	NOUN
cana-3844	539	72	environment	environment	NOUN
cana-3844	539	73	is	be	AUX
cana-3844	539	74	through	through	ADP
cana-3844	539	75	micro	micro	NOUN
cana-3844	539	76	-	-	NOUN
cana-3844	539	77	algae	algae	NOUN
cana-3844	539	78	.	.	PUNCT
cana-3844	540	1	on	on	ADP
cana-3844	540	2	the	the	DET
cana-3844	540	3	other	other	ADJ
cana-3844	540	4	hand	hand	NOUN
cana-3844	540	5	,	,	PUNCT
cana-3844	540	6	the	the	DET
cana-3844	540	7	reduction	reduction	NOUN
cana-3844	540	8	amounts	amount	NOUN
cana-3844	540	9	of	of	ADP
cana-3844	540	10	ammonia	ammonia	NOUN
cana-3844	540	11	and	and	CCONJ
cana-3844	540	12	carbon	carbon	NOUN
cana-3844	540	13	dioxide	dioxide	NOUN
cana-3844	540	14	gases	gas	NOUN
cana-3844	540	15	do	do	AUX
cana-3844	540	16	not	not	PART
cana-3844	540	17	alter	alter	VERB
cana-3844	540	18	correspondingly	correspondingly	ADV
cana-3844	540	19	in	in	ADP
cana-3844	540	20	all	all	DET
cana-3844	540	21	studies	study	NOUN
cana-3844	540	22	,	,	PUNCT
cana-3844	540	23	based	base	VERB
cana-3844	540	24	on	on	ADP
cana-3844	540	25	the	the	DET
cana-3844	540	26	findings	finding	NOUN
cana-3844	540	27	of	of	ADP
cana-3844	540	28	16	16	NUM
cana-3844	540	29	distinct	distinct	ADJ
cana-3844	540	30	𝑁𝐻3	𝑁𝐻3	PROPN
cana-3844	540	31	−	−	PROPN
cana-3844	540	32	𝐶𝑂2	𝐶𝑂2	PROPN
cana-3844	540	33	concentrations	concentration	NOUN
cana-3844	540	34	.	.	PUNCT
cana-3844	541	1	for	for	ADP
cana-3844	541	2	instance	instance	NOUN
cana-3844	541	3	,	,	PUNCT
cana-3844	541	4	for	for	ADP
cana-3844	541	5	changing	change	VERB
cana-3844	541	6	gas	gas	NOUN
cana-3844	541	7	concentrations	concentration	NOUN
cana-3844	541	8	,	,	PUNCT
cana-3844	541	9	the	the	DET
cana-3844	541	10	𝐶𝑂2	𝐶𝑂2	PROPN
cana-3844	541	11	and	and	CCONJ
cana-3844	541	12	𝑁𝐻3	𝑁𝐻3	PROPN
cana-3844	541	13	removal	removal	NOUN
cana-3844	541	14	efficiencies	efficiency	NOUN
cana-3844	541	15	change	change	VERB
cana-3844	541	16	independently	independently	ADV
cana-3844	541	17	chlorella	chlorella	NOUN
cana-3844	541	18	sp	sp	NOUN
cana-3844	541	19	.	.	PROPN
cana-3844	541	20	was	be	AUX
cana-3844	541	21	found	find	VERB
cana-3844	541	22	to	to	PART
cana-3844	541	23	have	have	VERB
cana-3844	541	24	higher	high	ADJ
cana-3844	541	25	cell	cell	NOUN
cana-3844	541	26	concentrations	concentration	NOUN
cana-3844	541	27	with	with	ADP
cana-3844	541	28	elevated	elevated	ADJ
cana-3844	541	29	𝐶𝑂2	𝐶𝑂2	PROPN
cana-3844	541	30	concentrations	concentration	NOUN
cana-3844	541	31	by	by	ADP
cana-3844	541	32	ryu	ryu	PROPN
cana-3844	541	33	et	et	PROPN
cana-3844	541	34	al	al	PROPN
cana-3844	541	35	.	.	PUNCT
cana-3844	542	1	[	[	X
cana-3844	542	2	36	36	NUM
cana-3844	542	3	]	]	PUNCT
cana-3844	542	4	,	,	PUNCT
cana-3844	542	5	but	but	CCONJ
cana-3844	542	6	reduced	reduce	VERB
cana-3844	542	7	𝐶𝑂2	𝐶𝑂2	PROPN
cana-3844	542	8	fixation	fixation	NOUN
cana-3844	542	9	efficiency	efficiency	NOUN
cana-3844	542	10	was	be	AUX
cana-3844	542	11	the	the	DET
cana-3844	542	12	outcome	outcome	NOUN
cana-3844	542	13	of	of	ADP
cana-3844	542	14	higher	high	ADJ
cana-3844	542	15	𝐶𝑂2	𝐶𝑂2	PROPN
cana-3844	542	16	concentrations	concentration	NOUN
cana-3844	542	17	.	.	PUNCT
cana-3844	543	1	the	the	DET
cana-3844	543	2	experiments	experiment	NOUN
cana-3844	543	3	with	with	ADP
cana-3844	543	4	the	the	DET
cana-3844	543	5	highest	high	ADJ
cana-3844	543	6	values	value	NOUN
cana-3844	543	7	of	of	ADP
cana-3844	543	8	environmental	environmental	ADJ
cana-3844	543	9	parameters	parameter	NOUN
cana-3844	543	10	were	be	AUX
cana-3844	543	11	shown	show	VERB
cana-3844	543	12	to	to	PART
cana-3844	543	13	be	be	AUX
cana-3844	543	14	independent	independent	ADJ
cana-3844	543	15	of	of	ADP
cana-3844	543	16	each	each	DET
cana-3844	543	17	other	other	ADJ
cana-3844	543	18	through	through	ADP
cana-3844	543	19	statistical	statistical	ADJ
cana-3844	543	20	analysis	analysis	NOUN
cana-3844	543	21	of	of	ADP
cana-3844	543	22	the	the	DET
cana-3844	543	23	study	study	NOUN
cana-3844	543	24	’s	’s	PART
cana-3844	543	25	data	datum	NOUN
cana-3844	543	26	.	.	PUNCT
cana-3844	544	1	but	but	CCONJ
cana-3844	544	2	a	a	DET
cana-3844	544	3	more	more	ADV
cana-3844	544	4	efficient	efficient	ADJ
cana-3844	544	5	method	method	NOUN
cana-3844	544	6	of	of	ADP
cana-3844	544	7	lowering	lower	VERB
cana-3844	544	8	the	the	DET
cana-3844	544	9	gases	gas	NOUN
cana-3844	544	10	produced	produce	VERB
cana-3844	544	11	by	by	ADP
cana-3844	544	12	barns	barn	NOUN
cana-3844	544	13	would	would	AUX
cana-3844	544	14	be	be	AUX
cana-3844	544	15	to	to	PART
cana-3844	544	16	find	find	VERB
cana-3844	544	17	the	the	DET
cana-3844	544	18	optimal	optimal	ADJ
cana-3844	544	19	condition	condition	NOUN
cana-3844	544	20	while	while	SCONJ
cana-3844	544	21	concurrently	concurrently	ADV
cana-3844	544	22	considering	consider	VERB
cana-3844	544	23	every	every	DET
cana-3844	544	24	environmental	environmental	ADJ
cana-3844	544	25	factor	factor	NOUN
cana-3844	544	26	.	.	PUNCT
cana-3844	545	1	the	the	DET
cana-3844	545	2	air	air	NOUN
cana-3844	545	3	pollutants	pollutant	NOUN
cana-3844	545	4	(	(	PUNCT
cana-3844	545	5	𝑁𝐻3	𝑁𝐻3	PROPN
cana-3844	545	6	and	and	CCONJ
cana-3844	545	7	𝐶𝑂2	𝐶𝑂2	PROPN
cana-3844	545	8	)	)	PUNCT
cana-3844	545	9	emitted	emit	VERB
cana-3844	545	10	from	from	ADP
cana-3844	545	11	animal	animal	NOUN
cana-3844	545	12	feeding	feeding	NOUN
cana-3844	545	13	operations	operation	NOUN
cana-3844	545	14	have	have	VERB
cana-3844	545	15	an	an	DET
cana-3844	545	16	impact	impact	NOUN
cana-3844	545	17	on	on	ADP
cana-3844	545	18	the	the	DET
cana-3844	545	19	environment	environment	NOUN
cana-3844	545	20	,	,	PUNCT
cana-3844	545	21	the	the	DET
cana-3844	545	22	health	health	NOUN
cana-3844	545	23	of	of	ADP
cana-3844	545	24	the	the	DET
cana-3844	545	25	animals	animal	NOUN
cana-3844	545	26	and	and	CCONJ
cana-3844	545	27	workers	worker	NOUN
cana-3844	545	28	,	,	PUNCT
cana-3844	545	29	and	and	CCONJ
cana-3844	545	30	the	the	DET
cana-3844	545	31	quality	quality	NOUN
cana-3844	545	32	of	of	ADP
cana-3844	545	33	the	the	DET
cana-3844	545	34	air	air	NOUN
cana-3844	545	35	in	in	ADP
cana-3844	545	36	the	the	DET
cana-3844	545	37	area	area	NOUN
cana-3844	545	38	.	.	PUNCT
cana-3844	546	1	these	these	DET
cana-3844	546	2	air	air	NOUN
cana-3844	546	3	pollution	pollution	NOUN
cana-3844	546	4	emissions	emission	NOUN
cana-3844	546	5	are	be	AUX
cana-3844	546	6	currently	currently	ADV
cana-3844	546	7	governed	govern	VERB
cana-3844	546	8	by	by	ADP
cana-3844	546	9	international	international	ADJ
cana-3844	546	10	agreements	agreement	NOUN
cana-3844	546	11	and	and	CCONJ
cana-3844	546	12	national	national	ADJ
cana-3844	546	13	laws	law	NOUN
cana-3844	546	14	that	that	PRON
cana-3844	546	15	aim	aim	VERB
cana-3844	546	16	to	to	PART
cana-3844	546	17	reduce	reduce	VERB
cana-3844	546	18	air	air	NOUN
cana-3844	546	19	pollution	pollution	NOUN
cana-3844	546	20	emissions	emission	NOUN
cana-3844	546	21	in	in	ADP
cana-3844	546	22	intense	intense	ADJ
cana-3844	546	23	farming	farming	NOUN
cana-3844	546	24	of	of	ADP
cana-3844	546	25	livestock	livestock	NOUN
cana-3844	546	26	[	[	X
cana-3844	546	27	37	37	NUM
cana-3844	546	28	]	]	PUNCT
cana-3844	546	29	.	.	PUNCT
cana-3844	547	1	the	the	DET
cana-3844	547	2	primary	primary	ADJ
cana-3844	547	3	goal	goal	NOUN
cana-3844	547	4	of	of	ADP
cana-3844	547	5	any	any	DET
cana-3844	547	6	environmental	environmental	ADJ
cana-3844	547	7	regulation	regulation	NOUN
cana-3844	547	8	is	be	AUX
cana-3844	547	9	to	to	PART
cana-3844	547	10	lower	lower	VERB
cana-3844	547	11	the	the	DET
cana-3844	547	12	concentrations	concentration	NOUN
cana-3844	547	13	of	of	ADP
cana-3844	547	14	air	air	NOUN
cana-3844	547	15	pollutants	pollutant	NOUN
cana-3844	547	16	to	to	ADP
cana-3844	547	17	levels	level	NOUN
cana-3844	547	18	that	that	PRON
cana-3844	547	19	are	be	AUX
cana-3844	547	20	safe	safe	ADJ
cana-3844	547	21	for	for	ADP
cana-3844	547	22	both	both	PRON
cana-3844	547	23	human	human	ADJ
cana-3844	547	24	health	health	NOUN
cana-3844	547	25	and	and	CCONJ
cana-3844	547	26	the	the	DET
cana-3844	547	27	environment	environment	NOUN
cana-3844	547	28	protection	protection	NOUN
cana-3844	547	29	organization	organization	NOUN
cana-3844	547	30	or	or	CCONJ
cana-3844	547	31	oversight	oversight	NOUN
cana-3844	547	32	organization	organization	NOUN
cana-3844	547	33	in	in	ADP
cana-3844	547	34	industrialized	industrialized	ADJ
cana-3844	547	35	or	or	CCONJ
cana-3844	547	36	underdeveloped	underdeveloped	ADJ
cana-3844	547	37	nations[38	nations[38	NOUN
cana-3844	547	38	]	]	PUNCT
cana-3844	547	39	.	.	PUNCT
cana-3844	548	1	in	in	ADP
cana-3844	548	2	bio	bio	NOUN
cana-3844	548	3	-	-	NOUN
cana-3844	548	4	mitigation	mitigation	ADJ
cana-3844	548	5	,	,	PUNCT
cana-3844	548	6	micro	micro	NOUN
cana-3844	548	7	-	-	NOUN
cana-3844	548	8	algae	algae	NOUN
cana-3844	548	9	can	can	AUX
cana-3844	548	10	be	be	AUX
cana-3844	548	11	employed	employ	VERB
cana-3844	548	12	to	to	PART
cana-3844	548	13	extract	extract	VERB
cana-3844	548	14	these	these	DET
cana-3844	548	15	air	air	NOUN
cana-3844	548	16	pollutants	pollutant	NOUN
cana-3844	548	17	and	and	CCONJ
cana-3844	548	18	create	create	VERB
cana-3844	548	19	useful	useful	ADJ
cana-3844	548	20	products	product	NOUN
cana-3844	548	21	.	.	PUNCT
cana-3844	549	1	based	base	VERB
cana-3844	549	2	on	on	ADP
cana-3844	549	3	the	the	DET
cana-3844	549	4	findings	finding	NOUN
cana-3844	549	5	,	,	PUNCT
cana-3844	549	6	exp11	exp11	PROPN
cana-3844	549	7	was	be	AUX
cana-3844	549	8	determined	determine	VERB
cana-3844	549	9	to	to	PART
cana-3844	549	10	be	be	AUX
cana-3844	549	11	the	the	DET
cana-3844	549	12	best	good	ADJ
cana-3844	549	13	experiment	experiment	NOUN
cana-3844	549	14	.	.	PUNCT
cana-3844	550	1	the	the	DET
cana-3844	550	2	second	second	ADJ
cana-3844	550	3	and	and	CCONJ
cana-3844	550	4	third	third	ADV
cana-3844	550	5	-	-	PUNCT
cana-3844	550	6	ranked	rank	VERB
cana-3844	550	7	entries	entry	NOUN
cana-3844	550	8	were	be	AUX
cana-3844	550	9	exp7	exp7	PROPN
cana-3844	550	10	and	and	CCONJ
cana-3844	550	11	exp14	exp14	NOUN
cana-3844	550	12	,	,	PUNCT
cana-3844	550	13	respectively	respectively	ADV
cana-3844	550	14	.	.	PUNCT
cana-3844	551	1	it	it	PRON
cana-3844	551	2	was	be	AUX
cana-3844	551	3	discovered	discover	VERB
cana-3844	551	4	that	that	SCONJ
cana-3844	551	5	experiments	experiment	NOUN
cana-3844	551	6	exp13	exp13	NOUN
cana-3844	551	7	,	,	PUNCT
cana-3844	551	8	exp9	exp9	NOUN
cana-3844	551	9	,	,	PUNCT
cana-3844	551	10	and	and	CCONJ
cana-3844	551	11	exp5	exp5	PROPN
cana-3844	551	12	performed	perform	VERB
cana-3844	551	13	the	the	DET
cana-3844	551	14	worst	bad	ADJ
cana-3844	551	15	.	.	PUNCT
cana-3844	552	1	the	the	DET
cana-3844	552	2	16	16	NUM
cana-3844	552	3	experiments	experiment	NOUN
cana-3844	552	4	are	be	AUX
cana-3844	552	5	ranked	rank	VERB
cana-3844	552	6	in	in	ADP
cana-3844	552	7	table	table	NOUN
cana-3844	552	8	11	11	NUM
cana-3844	552	9	.	.	PUNCT
cana-3844	553	1	communications	communication	NOUN
cana-3844	553	2	on	on	ADP
cana-3844	553	3	applied	apply	VERB
cana-3844	553	4	nonlinear	nonlinear	ADJ
cana-3844	553	5	analysis	analysis	NOUN
cana-3844	553	6	issn	issn	NOUN
cana-3844	553	7	:	:	PUNCT
cana-3844	553	8	1074	1074	NUM
cana-3844	553	9	-	-	PUNCT
cana-3844	553	10	133x	133x	NUM
cana-3844	553	11	vol	vol	NOUN
cana-3844	553	12	32	32	NUM
cana-3844	553	13	no	no	NOUN
cana-3844	553	14	.	.	PUNCT
cana-3844	554	1	9s	9s	NUM
cana-3844	554	2	(	(	PUNCT
cana-3844	554	3	2025	2025	NUM
cana-3844	554	4	)	)	PUNCT
cana-3844	554	5	159	159	NUM
cana-3844	554	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	554	7	6.1	6.1	NUM
cana-3844	554	8	sensitive	sensitive	ADJ
cana-3844	554	9	analysis	analysis	NOUN
cana-3844	554	10	sensitive	sensitive	ADJ
cana-3844	554	11	analysis	analysis	NOUN
cana-3844	554	12	is	be	AUX
cana-3844	554	13	a	a	DET
cana-3844	554	14	process	process	NOUN
cana-3844	554	15	used	use	VERB
cana-3844	554	16	to	to	PART
cana-3844	554	17	gauge	gauge	VERB
cana-3844	554	18	the	the	DET
cana-3844	554	19	power	power	NOUN
cana-3844	554	20	and	and	CCONJ
cana-3844	554	21	consistency	consistency	NOUN
cana-3844	554	22	of	of	ADP
cana-3844	554	23	decision	decision	NOUN
cana-3844	554	24	issue	issue	NOUN
cana-3844	554	25	outcomes	outcome	NOUN
cana-3844	554	26	.	.	PUNCT
cana-3844	555	1	sensitive	sensitive	ADJ
cana-3844	555	2	analysis	analysis	NOUN
cana-3844	555	3	was	be	AUX
cana-3844	555	4	used	use	VERB
cana-3844	555	5	in	in	ADP
cana-3844	555	6	this	this	DET
cana-3844	555	7	investigation	investigation	NOUN
cana-3844	555	8	to	to	PART
cana-3844	555	9	assess	assess	VERB
cana-3844	555	10	the	the	DET
cana-3844	555	11	power	power	NOUN
cana-3844	555	12	and	and	CCONJ
cana-3844	555	13	consistency	consistency	NOUN
cana-3844	555	14	of	of	ADP
cana-3844	555	15	the	the	DET
cana-3844	555	16	gra	gra	PROPN
cana-3844	555	17	results	result	NOUN
cana-3844	555	18	.	.	PUNCT
cana-3844	556	1	there	there	PRON
cana-3844	556	2	was	be	VERB
cana-3844	556	3	a	a	DET
cana-3844	556	4	comparison	comparison	NOUN
cana-3844	556	5	between	between	ADP
cana-3844	556	6	the	the	DET
cana-3844	556	7	outcomes	outcome	NOUN
cana-3844	556	8	of	of	ADP
cana-3844	556	9	gra	gra	PROPN
cana-3844	556	10	and	and	CCONJ
cana-3844	556	11	the	the	DET
cana-3844	556	12	other	other	ADJ
cana-3844	556	13	mcdm	mcdm	ADJ
cana-3844	556	14	techniques	technique	NOUN
cana-3844	556	15	.	.	PUNCT
cana-3844	557	1	the	the	DET
cana-3844	557	2	following	follow	VERB
cana-3844	557	3	techniques	technique	NOUN
cana-3844	557	4	were	be	AUX
cana-3844	557	5	applied	apply	VERB
cana-3844	557	6	for	for	ADP
cana-3844	557	7	the	the	DET
cana-3844	557	8	sensitivity	sensitivity	NOUN
cana-3844	557	9	analysis	analysis	NOUN
cana-3844	557	10	:	:	PUNCT
cana-3844	557	11	additive	additive	ADJ
cana-3844	557	12	ratio	ratio	NOUN
cana-3844	557	13	assessment	assessment	NOUN
cana-3844	557	14	(	(	PUNCT
cana-3844	557	15	aras	aras	PROPN
cana-3844	557	16	)	)	PUNCT
cana-3844	557	17	,	,	PUNCT
cana-3844	557	18	multi	multi	ADJ
cana-3844	557	19	-	-	ADJ
cana-3844	557	20	objective	objective	ADJ
cana-3844	557	21	optimization	optimization	NOUN
cana-3844	557	22	on	on	ADP
cana-3844	557	23	the	the	DET
cana-3844	557	24	basis	basis	NOUN
cana-3844	557	25	of	of	ADP
cana-3844	557	26	ratio	ratio	NOUN
cana-3844	557	27	analysis	analysis	NOUN
cana-3844	557	28	(	(	PUNCT
cana-3844	557	29	moora	moora	PROPN
cana-3844	557	30	)	)	PUNCT
cana-3844	557	31	,	,	PUNCT
cana-3844	557	32	technique	technique	NOUN
cana-3844	557	33	for	for	ADP
cana-3844	557	34	order	order	NOUN
cana-3844	557	35	of	of	ADP
cana-3844	557	36	preference	preference	NOUN
cana-3844	557	37	by	by	ADP
cana-3844	557	38	similarity	similarity	NOUN
cana-3844	557	39	to	to	ADP
cana-3844	557	40	ideal	ideal	ADJ
cana-3844	557	41	solution	solution	NOUN
cana-3844	557	42	(	(	PUNCT
cana-3844	557	43	topsis	topsis	NOUN
cana-3844	557	44	)	)	PUNCT
cana-3844	557	45	,	,	PUNCT
cana-3844	557	46	weighted	weight	VERB
cana-3844	557	47	aggregated	aggregate	VERB
cana-3844	557	48	sum	sum	NOUN
cana-3844	557	49	product	product	NOUN
cana-3844	557	50	assessment	assessment	NOUN
cana-3844	557	51	(	(	PUNCT
cana-3844	557	52	waspas	waspas	PROPN
cana-3844	557	53	)	)	PUNCT
cana-3844	557	54	,	,	PUNCT
cana-3844	557	55	deep	deep	ADJ
cana-3844	557	56	mixing	mixing	NOUN
cana-3844	557	57	method	method	NOUN
cana-3844	557	58	(	(	PUNCT
cana-3844	557	59	dmm	dmm	PROPN
cana-3844	557	60	)	)	PUNCT
cana-3844	557	61	,	,	PUNCT
cana-3844	557	62	and	and	CCONJ
cana-3844	557	63	grey	grey	ADJ
cana-3844	557	64	relational	relational	ADJ
cana-3844	557	65	analysis	analysis	NOUN
cana-3844	557	66	(	(	PUNCT
cana-3844	557	67	gra	gra	PROPN
cana-3844	557	68	)	)	PUNCT
cana-3844	557	69	.	.	PUNCT
cana-3844	558	1	the	the	DET
cana-3844	558	2	weights	weight	NOUN
cana-3844	558	3	determined	determine	VERB
cana-3844	558	4	using	use	VERB
cana-3844	558	5	the	the	DET
cana-3844	558	6	suggested	suggest	VERB
cana-3844	558	7	approach	approach	NOUN
cana-3844	558	8	were	be	AUX
cana-3844	558	9	applied	apply	VERB
cana-3844	558	10	to	to	ADP
cana-3844	558	11	all	all	DET
cana-3844	558	12	methods	method	NOUN
cana-3844	558	13	.	.	PUNCT
cana-3844	559	1	the	the	DET
cana-3844	559	2	association	association	NOUN
cana-3844	559	3	between	between	ADP
cana-3844	559	4	the	the	DET
cana-3844	559	5	above	above	ADV
cana-3844	559	6	-	-	PUNCT
cana-3844	559	7	mentioned	mention	VERB
cana-3844	559	8	methodologies	methodology	NOUN
cana-3844	559	9	and	and	CCONJ
cana-3844	559	10	the	the	DET
cana-3844	559	11	gra	gra	PROPN
cana-3844	559	12	method	method	PROPN
cana-3844	559	13	results	result	NOUN
cana-3844	559	14	was	be	AUX
cana-3844	559	15	examined	examine	VERB
cana-3844	559	16	using	use	VERB
cana-3844	559	17	spearman	spearman	NOUN
cana-3844	559	18	’s	’s	PART
cana-3844	559	19	rho	rho	ADJ
cana-3844	559	20	rank	rank	NOUN
cana-3844	559	21	correlation	correlation	NOUN
cana-3844	559	22	.	.	PUNCT
cana-3844	560	1	the	the	DET
cana-3844	560	2	outcomes	outcome	NOUN
cana-3844	560	3	are	be	AUX
cana-3844	560	4	displayed	display	VERB
cana-3844	560	5	with	with	ADP
cana-3844	560	6	rho	rho	ADJ
cana-3844	560	7	rank	rank	NOUN
cana-3844	560	8	correlation	correlation	NOUN
cana-3844	560	9	of	of	ADP
cana-3844	560	10	spearman	spearman	NOUN
cana-3844	560	11	.	.	PUNCT
cana-3844	561	1	the	the	DET
cana-3844	561	2	table	table	NOUN
cana-3844	561	3	shows	show	VERB
cana-3844	561	4	the	the	DET
cana-3844	561	5	following	follow	VERB
cana-3844	561	6	results	result	NOUN
cana-3844	561	7	12	12	NUM
cana-3844	561	8	.	.	PUNCT
cana-3844	561	9	table	table	NOUN
cana-3844	561	10	10	10	NUM
cana-3844	561	11	:	:	PUNCT
cana-3844	561	12	comparision	comparision	NOUN
cana-3844	561	13	table	table	NOUN
cana-3844	561	14	.	.	PUNCT
cana-3844	562	1	experiments	experiment	NOUN
cana-3844	562	2	/	/	SYM
cana-3844	562	3	method	method	NOUN
cana-3844	562	4	waspa	waspa	PROPN
cana-3844	562	5	s	s	PROPN
cana-3844	562	6	aras	aras	PROPN
cana-3844	562	7	moor	moor	PROPN
cana-3844	562	8	a	a	DET
cana-3844	562	9	topsis(am	topsis(am	PROPN
cana-3844	562	10	)	)	PUNCT
cana-3844	562	11	topis(dm	topis(dm	PROPN
cana-3844	562	12	)	)	PUNCT
cana-3844	562	13	dmm	dmm	PROPN
cana-3844	562	14	gra(clios	gra(clios	PROPN
cana-3844	562	15	)	)	PUNCT
cana-3844	562	16	gra	gra	VERB
cana-3844	562	17	ℑ1	ℑ1	NOUN
cana-3844	562	18	0.0656	0.0656	NUM
cana-3844	562	19	0.187	0.187	NUM
cana-3844	562	20	5	5	NUM
cana-3844	562	21	0.1230	0.1230	NUM
cana-3844	562	22	0.5158	0.5158	NUM
cana-3844	562	23	0.2074	0.2074	NUM
cana-3844	562	24	0.123	0.123	NUM
cana-3844	562	25	1	1	NUM
cana-3844	562	26	0.567	0.567	NUM
cana-3844	562	27	0.406	0.406	NUM
cana-3844	562	28	8	8	NUM
cana-3844	562	29	ℑ2	ℑ2	VERB
cana-3844	562	30	0.4972	0.4972	NUM
cana-3844	562	31	0.624	0.624	NUM
cana-3844	562	32	6	6	NUM
cana-3844	562	33	0.5017	0.5017	NUM
cana-3844	562	34	0.5169	0.5169	NUM
cana-3844	562	35	0.5382	0.5382	NUM
cana-3844	562	36	0.501	0.501	NUM
cana-3844	562	37	7	7	NUM
cana-3844	562	38	0.434	0.434	NUM
cana-3844	562	39	0.557	0.557	NUM
cana-3844	562	40	2	2	NUM
cana-3844	562	41	ℑ3	ℑ3	PROPN
cana-3844	562	42	0.4028	0.4028	NUM
cana-3844	562	43	0.534	0.534	NUM
cana-3844	562	44	2	2	NUM
cana-3844	562	45	0.4164	0.4164	NUM
cana-3844	562	46	0.5166	0.5166	NUM
cana-3844	562	47	0.4085	0.4085	NUM
cana-3844	562	48	0.416	0.416	NUM
cana-3844	562	49	5	5	NUM
cana-3844	562	50	0.529	0.529	NUM
cana-3844	562	51	0.483	0.483	NUM
cana-3844	562	52	6	6	NUM
cana-3844	562	53	ℑ4	ℑ4	NOUN
cana-3844	562	54	0.3108	0.3108	NUM
cana-3844	562	55	0.442	0.442	NUM
cana-3844	562	56	7	7	NUM
cana-3844	562	57	0.3341	0.3341	NUM
cana-3844	562	58	0.5164	0.5164	NUM
cana-3844	562	59	0.3263	0.3263	NUM
cana-3844	562	60	0.334	0.334	NUM
cana-3844	562	61	2	2	NUM
cana-3844	562	62	0.503	0.503	NUM
cana-3844	562	63	0.446	0.446	NUM
cana-3844	562	64	1	1	NUM
cana-3844	562	65	ℑ5	ℑ5	NOUN
cana-3844	562	66	0.0300	0.0300	NUM
cana-3844	562	67	0.078	0.078	NUM
cana-3844	562	68	7	7	NUM
cana-3844	562	69	0.0323	0.0323	NUM
cana-3844	562	70	0.5156	0.5156	NUM
cana-3844	563	1	0.0622	0.0622	NUM
cana-3844	563	2	0.032	0.032	NUM
cana-3844	563	3	3	3	NUM
cana-3844	563	4	0.363	0.363	NUM
cana-3844	563	5	0.341	0.341	NUM
cana-3844	563	6	8	8	NUM
cana-3844	563	7	ℑ6	ℑ6	VERB
cana-3844	563	8	0.5817	0.5817	NUM
cana-3844	563	9	0.695	0.695	NUM
cana-3844	563	10	8	8	NUM
cana-3844	563	11	0.5733	0.5733	NUM
cana-3844	563	12	0.5170	0.5170	NUM
cana-3844	563	13	0.6005	0.6005	NUM
cana-3844	563	14	0.573	0.573	NUM
cana-3844	563	15	3	3	NUM
cana-3844	563	16	0.511	0.511	NUM
cana-3844	563	17	0.588	0.588	NUM
cana-3844	563	18	8	8	NUM
cana-3844	563	19	ℑ7	ℑ7	NOUN
cana-3844	563	20	0.7797	0.7797	NUM
cana-3844	563	21	0.989	0.989	NUM
cana-3844	563	22	3	3	NUM
cana-3844	563	23	0.7820	0.7820	NUM
cana-3844	563	24	0.5174	0.5174	NUM
cana-3844	563	25	0.7515	0.7515	NUM
cana-3844	563	26	0.782	0.782	NUM
cana-3844	563	27	0	0	NUM
cana-3844	563	28	0.600	0.600	NUM
cana-3844	563	29	0.756	0.756	NUM
cana-3844	563	30	8	8	NUM
cana-3844	563	31	ℑ8	ℑ8	NOUN
cana-3844	563	32	0.3306	0.3306	NUM
cana-3844	563	33	0.412	0.412	NUM
cana-3844	563	34	6	6	NUM
cana-3844	563	35	0.3126	0.3126	NUM
cana-3844	563	36	0.5163	0.5163	NUM
cana-3844	563	37	0.3040	0.3040	NUM
cana-3844	563	38	0.312	0.312	NUM
cana-3844	563	39	6	6	NUM
cana-3844	563	40	0.445	0.445	NUM
cana-3844	563	41	0.422	0.422	NUM
cana-3844	563	42	7	7	NUM
cana-3844	563	43	ℑ9	ℑ9	NOUN
cana-3844	563	44	0.0514	0.0514	NUM
cana-3844	563	45	0.136	0.136	NUM
cana-3844	563	46	0	0	NUM
cana-3844	563	47	0.0831	0.0831	NUM
cana-3844	563	48	0.5157	0.5157	NUM
cana-3844	563	49	0.1084	0.1084	NUM
cana-3844	563	50	0.083	0.083	NUM
cana-3844	563	51	1	1	NUM
cana-3844	563	52	0.415	0.415	NUM
cana-3844	563	53	0.356	0.356	NUM
cana-3844	563	54	9	9	NUM
cana-3844	563	55	communications	communication	NOUN
cana-3844	563	56	on	on	ADP
cana-3844	563	57	applied	apply	VERB
cana-3844	563	58	nonlinear	nonlinear	ADJ
cana-3844	563	59	analysis	analysis	NOUN
cana-3844	563	60	issn	issn	NOUN
cana-3844	563	61	:	:	PUNCT
cana-3844	563	62	1074	1074	NUM
cana-3844	563	63	-	-	PUNCT
cana-3844	563	64	133x	133x	NUM
cana-3844	563	65	vol	vol	NOUN
cana-3844	563	66	32	32	NUM
cana-3844	563	67	no	no	NOUN
cana-3844	563	68	.	.	PUNCT
cana-3844	564	1	9s	9s	NUM
cana-3844	564	2	(	(	PUNCT
cana-3844	564	3	2025	2025	NUM
cana-3844	564	4	)	)	PUNCT
cana-3844	564	5	160	160	NUM
cana-3844	564	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	564	7	ℑ10	ℑ10	NOUN
cana-3844	564	8	0.4651	0.4651	NUM
cana-3844	564	9	0.561	0.561	NUM
cana-3844	564	10	3	3	NUM
cana-3844	564	11	0.4632	0.4632	NUM
cana-3844	564	12	0.5167	0.5167	NUM
cana-3844	564	13	0.4998	0.4998	NUM
cana-3844	564	14	0.463	0.463	NUM
cana-3844	564	15	3	3	NUM
cana-3844	564	16	0.506	0.506	NUM
cana-3844	564	17	0.511	0.511	NUM
cana-3844	564	18	5	5	NUM
cana-3844	564	19	ℑ11	ℑ11	PROPN
cana-3844	564	20	0.7868	0.7868	VERB
cana-3844	564	21	1.000	1.000	NUM
cana-3844	564	22	0	0	NUM
cana-3844	564	23	0.7946	0.7946	NUM
cana-3844	564	24	0.5173	0.5173	NUM
cana-3844	564	25	0.7468	0.7468	NUM
cana-3844	564	26	0.794	0.794	NUM
cana-3844	564	27	5	5	NUM
cana-3844	564	28	0.592	0.592	NUM
cana-3844	564	29	0.816	0.816	NUM
cana-3844	564	30	0	0	PUNCT
cana-3844	565	1	ℑ12	ℑ12	ADP
cana-3844	565	2	0.4856	0.4856	NUM
cana-3844	565	3	0.606	0.606	NUM
cana-3844	565	4	9	9	NUM
cana-3844	565	5	0.4636	0.4636	NUM
cana-3844	565	6	0.5168	0.5168	NUM
cana-3844	565	7	0.4960	0.4960	NUM
cana-3844	565	8	0.463	0.463	NUM
cana-3844	565	9	6	6	NUM
cana-3844	565	10	0.431	0.431	NUM
cana-3844	565	11	0.492	0.492	NUM
cana-3844	565	12	2	2	NUM
cana-3844	565	13	ℑ13	ℑ13	NOUN
cana-3844	566	1	0.0734	0.0734	NUM
cana-3844	566	2	0.191	0.191	NUM
cana-3844	566	3	7	7	NUM
cana-3844	566	4	0.1270	0.1270	NUM
cana-3844	566	5	0.5160	0.5160	NUM
cana-3844	566	6	0.1194	0.1194	NUM
cana-3844	566	7	0.127	0.127	NUM
cana-3844	566	8	0	0	NUM
cana-3844	566	9	0.426	0.426	NUM
cana-3844	566	10	0.367	0.367	NUM
cana-3844	566	11	1	1	NUM
cana-3844	566	12	ℑ14	ℑ14	PROPN
cana-3844	566	13	0.5999	0.5999	NUM
cana-3844	566	14	0.741	0.741	NUM
cana-3844	566	15	6	6	NUM
cana-3844	566	16	0.6131	0.6131	NUM
cana-3844	566	17	0.5172	0.5172	NUM
cana-3844	566	18	0.6124	0.6124	NUM
cana-3844	566	19	0.613	0.613	NUM
cana-3844	566	20	2	2	NUM
cana-3844	566	21	0.665	0.665	NUM
cana-3844	566	22	0.641	0.641	NUM
cana-3844	566	23	2	2	NUM
cana-3844	566	24	ℑ15	ℑ15	PROPN
cana-3844	566	25	0.3445	0.3445	NUM
cana-3844	566	26	0.449	0.449	NUM
cana-3844	566	27	7	7	NUM
cana-3844	566	28	0.3633	0.3633	NUM
cana-3844	566	29	0.5165	0.5165	NUM
cana-3844	566	30	0.3544	0.3544	NUM
cana-3844	566	31	0.363	0.363	NUM
cana-3844	566	32	3	3	NUM
cana-3844	566	33	0.648	0.648	NUM
cana-3844	566	34	0.468	0.468	NUM
cana-3844	566	35	3	3	NUM
cana-3844	566	36	ℑ16	ℑ16	PROPN
cana-3844	566	37	0.2568	0.2568	NUM
cana-3844	566	38	0.337	0.337	NUM
cana-3844	566	39	2	2	NUM
cana-3844	566	40	0.2510	0.2510	NUM
cana-3844	566	41	0.5162	0.5162	NUM
cana-3844	566	42	0.2373	0.2373	NUM
cana-3844	566	43	0.251	0.251	NUM
cana-3844	566	44	0	0	NUM
cana-3844	566	45	0.464	0.464	NUM
cana-3844	566	46	0.404	0.404	NUM
cana-3844	566	47	4	4	NUM
cana-3844	566	48	table	table	NOUN
cana-3844	566	49	11	11	NUM
cana-3844	566	50	:	:	PUNCT
cana-3844	566	51	ranking	rank	VERB
cana-3844	566	52	by	by	ADP
cana-3844	566	53	different	different	ADJ
cana-3844	566	54	methods	method	NOUN
cana-3844	566	55	.	.	PUNCT
cana-3844	567	1	experiments/	experiments/	NUM
cana-3844	567	2	method	method	NOUN
cana-3844	567	3	wapas	wapas	PROPN
cana-3844	567	4	aras	ara	VERB
cana-3844	567	5	moora	moora	PROPN
cana-3844	567	6	topsis(am	topsis(am	PROPN
cana-3844	567	7	)	)	PUNCT
cana-3844	567	8	topis(dm	topis(dm	PROPN
cana-3844	567	9	)	)	PUNCT
cana-3844	567	10	dmm	dmm	PROPN
cana-3844	567	11	gra(clios	gra(clios	PROPN
cana-3844	567	12	)	)	PUNCT
cana-3844	567	13	gra	gra	PROPN
cana-3844	567	14	ℑ1	ℑ1	PROPN
cana-3844	567	15	14	14	NUM
cana-3844	567	16	14	14	NUM
cana-3844	567	17	14	14	NUM
cana-3844	567	18	14	14	NUM
cana-3844	567	19	13	13	NUM
cana-3844	567	20	14	14	NUM
cana-3844	567	21	13	13	NUM
cana-3844	567	22	12	12	NUM
cana-3844	567	23	ℑ2	ℑ2	VERB
cana-3844	567	24	5	5	NUM
cana-3844	567	25	5	5	NUM
cana-3844	567	26	5	5	NUM
cana-3844	567	27	5	5	NUM
cana-3844	567	28	5	5	NUM
cana-3844	567	29	5	5	NUM
cana-3844	567	30	8	8	NUM
cana-3844	567	31	5	5	NUM
cana-3844	567	32	ℑ3	ℑ3	PROPN
cana-3844	567	33	8	8	NUM
cana-3844	567	34	8	8	NUM
cana-3844	567	35	8	8	NUM
cana-3844	567	36	8	8	NUM
cana-3844	567	37	8	8	NUM
cana-3844	567	38	8	8	NUM
cana-3844	567	39	7	7	NUM
cana-3844	567	40	8	8	NUM
cana-3844	567	41	ℑ4	ℑ4	NOUN
cana-3844	567	42	11	11	NUM
cana-3844	567	43	10	10	NUM
cana-3844	567	44	10	10	NUM
cana-3844	567	45	10	10	NUM
cana-3844	567	46	10	10	NUM
cana-3844	567	47	10	10	NUM
cana-3844	567	48	10	10	NUM
cana-3844	567	49	10	10	NUM
cana-3844	567	50	ℑ5	ℑ5	NOUN
cana-3844	567	51	16	16	NUM
cana-3844	567	52	16	16	NUM
cana-3844	567	53	16	16	NUM
cana-3844	567	54	16	16	NUM
cana-3844	567	55	16	16	NUM
cana-3844	567	56	16	16	NUM
cana-3844	567	57	16	16	NUM
cana-3844	567	58	16	16	NUM
cana-3844	567	59	ℑ6	ℑ6	VERB
cana-3844	567	60	4	4	NUM
cana-3844	567	61	4	4	NUM
cana-3844	567	62	4	4	NUM
cana-3844	567	63	4	4	NUM
cana-3844	567	64	4	4	NUM
cana-3844	567	65	4	4	NUM
cana-3844	567	66	4	4	NUM
cana-3844	567	67	4	4	NUM
cana-3844	567	68	ℑ7	ℑ7	NOUN
cana-3844	567	69	2	2	NUM
cana-3844	567	70	2	2	NUM
cana-3844	567	71	2	2	NUM
cana-3844	567	72	1	1	NUM
cana-3844	567	73	1	1	NUM
cana-3844	567	74	2	2	NUM
cana-3844	567	75	3	3	NUM
cana-3844	567	76	2	2	NUM
cana-3844	567	77	ℑ8	ℑ8	NOUN
cana-3844	567	78	10	10	NUM
cana-3844	567	79	11	11	NUM
cana-3844	567	80	11	11	NUM
cana-3844	567	81	11	11	NUM
cana-3844	567	82	11	11	NUM
cana-3844	567	83	11	11	NUM
cana-3844	567	84	11	11	NUM
cana-3844	567	85	11	11	NUM
cana-3844	567	86	ℑ9	ℑ9	NOUN
cana-3844	567	87	15	15	NUM
cana-3844	567	88	15	15	NUM
cana-3844	567	89	15	15	NUM
cana-3844	567	90	15	15	NUM
cana-3844	567	91	15	15	NUM
cana-3844	567	92	15	15	NUM
cana-3844	567	93	15	15	NUM
cana-3844	567	94	15	15	NUM
cana-3844	567	95	ℑ10	ℑ10	NOUN
cana-3844	567	96	7	7	NUM
cana-3844	567	97	7	7	NUM
cana-3844	567	98	7	7	NUM
cana-3844	567	99	7	7	NUM
cana-3844	567	100	6	6	NUM
cana-3844	567	101	7	7	NUM
cana-3844	567	102	5	5	NUM
cana-3844	567	103	6	6	NUM
cana-3844	567	104	ℑ11	ℑ11	PROPN
cana-3844	567	105	1	1	NUM
cana-3844	567	106	1	1	NUM
cana-3844	567	107	1	1	NUM
cana-3844	567	108	2	2	NUM
cana-3844	567	109	2	2	NUM
cana-3844	567	110	1	1	NUM
cana-3844	567	111	1	1	NUM
cana-3844	567	112	1	1	NUM
cana-3844	567	113	ℑ12	ℑ12	PROPN
cana-3844	567	114	6	6	NUM
cana-3844	567	115	6	6	NUM
cana-3844	567	116	6	6	NUM
cana-3844	567	117	6	6	NUM
cana-3844	567	118	7	7	NUM
cana-3844	567	119	6	6	NUM
cana-3844	567	120	9	9	NUM
cana-3844	567	121	7	7	NUM
cana-3844	567	122	ℑ13	ℑ13	PROPN
cana-3844	567	123	13	13	NUM
cana-3844	567	124	13	13	NUM
cana-3844	567	125	13	13	NUM
cana-3844	567	126	13	13	NUM
cana-3844	567	127	14	14	NUM
cana-3844	567	128	13	13	NUM
cana-3844	567	129	14	14	NUM
cana-3844	567	130	14	14	NUM
cana-3844	567	131	ℑ14	ℑ14	PROPN
cana-3844	567	132	3	3	NUM
cana-3844	567	133	3	3	NUM
cana-3844	567	134	3	3	NUM
cana-3844	567	135	3	3	NUM
cana-3844	567	136	3	3	NUM
cana-3844	567	137	3	3	NUM
cana-3844	567	138	2	2	NUM
cana-3844	567	139	3	3	NUM
cana-3844	567	140	communications	communication	NOUN
cana-3844	567	141	on	on	ADP
cana-3844	567	142	applied	apply	VERB
cana-3844	567	143	nonlinear	nonlinear	ADJ
cana-3844	567	144	analysis	analysis	NOUN
cana-3844	567	145	issn	issn	NOUN
cana-3844	567	146	:	:	PUNCT
cana-3844	567	147	1074	1074	NUM
cana-3844	567	148	-	-	PUNCT
cana-3844	567	149	133x	133x	NUM
cana-3844	567	150	vol	vol	NOUN
cana-3844	567	151	32	32	NUM
cana-3844	567	152	no	no	NOUN
cana-3844	567	153	.	.	PUNCT
cana-3844	568	1	9s	9s	NUM
cana-3844	568	2	(	(	PUNCT
cana-3844	568	3	2025	2025	NUM
cana-3844	568	4	)	)	PUNCT
cana-3844	568	5	161	161	NUM
cana-3844	568	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	569	1	ℑ15	ℑ15	PROPN
cana-3844	569	2	9	9	NUM
cana-3844	569	3	9	9	NUM
cana-3844	569	4	9	9	NUM
cana-3844	569	5	9	9	NUM
cana-3844	569	6	9	9	NUM
cana-3844	569	7	9	9	NUM
cana-3844	569	8	6	6	NUM
cana-3844	569	9	9	9	NUM
cana-3844	569	10	ℑ16	ℑ16	PROPN
cana-3844	569	11	12	12	NUM
cana-3844	569	12	12	12	NUM
cana-3844	569	13	12	12	NUM
cana-3844	569	14	12	12	NUM
cana-3844	569	15	12	12	NUM
cana-3844	569	16	12	12	NUM
cana-3844	569	17	12	12	NUM
cana-3844	569	18	13	13	NUM
cana-3844	569	19	table	table	NOUN
cana-3844	569	20	12	12	NUM
cana-3844	569	21	:	:	PUNCT
cana-3844	569	22	spearman	spearman	NOUN
cana-3844	569	23	’s	’s	PART
cana-3844	569	24	rho	rho	ADJ
cana-3844	569	25	correlation	correlation	NOUN
cana-3844	569	26	values	value	NOUN
cana-3844	569	27	between	between	ADP
cana-3844	569	28	methods	method	NOUN
cana-3844	569	29	.	.	PUNCT
cana-3844	570	1	method	method	PROPN
cana-3844	570	2	wapas	wapas	PROPN
cana-3844	570	3	aras	aras	PROPN
cana-3844	570	4	moora	moora	PROPN
cana-3844	570	5	topsis(am	topsis(am	PROPN
cana-3844	570	6	)	)	PUNCT
cana-3844	570	7	topis(dm	topis(dm	PROPN
cana-3844	570	8	)	)	PUNCT
cana-3844	570	9	dmm	dmm	PROPN
cana-3844	570	10	gra(clios	gra(clios	PROPN
cana-3844	570	11	)	)	PUNCT
cana-3844	570	12	gra	gra	VERB
cana-3844	570	13	0.9853	0.9853	NUM
cana-3844	570	14	0.9882	0.9882	NUM
cana-3844	570	15	0.9882	0.9882	NUM
cana-3844	570	16	0.9853	0.9853	NUM
cana-3844	570	17	0.9941	0.9941	NUM
cana-3844	570	18	0.9882	0.9882	NUM
cana-3844	570	19	0.9588	0.9588	NUM
cana-3844	570	20	there	there	PRON
cana-3844	570	21	are	be	VERB
cana-3844	570	22	strong	strong	ADJ
cana-3844	570	23	relationships	relationship	NOUN
cana-3844	570	24	between	between	ADP
cana-3844	570	25	the	the	DET
cana-3844	570	26	rankings	ranking	NOUN
cana-3844	570	27	produced	produce	VERB
cana-3844	570	28	by	by	ADP
cana-3844	570	29	the	the	DET
cana-3844	570	30	gra	gra	PROPN
cana-3844	570	31	method	method	NOUN
cana-3844	570	32	and	and	CCONJ
cana-3844	570	33	the	the	DET
cana-3844	570	34	other	other	ADJ
cana-3844	570	35	mcdm	mcdm	ADJ
cana-3844	570	36	approaches	approach	NOUN
cana-3844	570	37	when	when	SCONJ
cana-3844	570	38	spearman	spearman	NOUN
cana-3844	570	39	’s	’s	PART
cana-3844	570	40	rho	rho	ADJ
cana-3844	570	41	values	value	NOUN
cana-3844	570	42	are	be	AUX
cana-3844	570	43	analyzed	analyze	VERB
cana-3844	570	44	.	.	PUNCT
cana-3844	571	1	these	these	DET
cana-3844	571	2	findings	finding	NOUN
cana-3844	571	3	demonstrate	demonstrate	VERB
cana-3844	571	4	the	the	DET
cana-3844	571	5	excellent	excellent	ADJ
cana-3844	571	6	measuring	measure	VERB
cana-3844	571	7	power	power	NOUN
cana-3844	571	8	and	and	CCONJ
cana-3844	571	9	consistency	consistency	NOUN
cana-3844	571	10	of	of	ADP
cana-3844	571	11	gra	gra	PROPN
cana-3844	571	12	.	.	PROPN
cana-3844	571	13	figure	figure	NOUN
cana-3844	571	14	2	2	NUM
cana-3844	571	15	:	:	PUNCT
cana-3844	571	16	ranks	rank	NOUN
cana-3844	571	17	by	by	ADP
cana-3844	571	18	gra	gra	PROPN
cana-3844	571	19	method	method	NOUN
cana-3844	571	20	.	.	PUNCT
cana-3844	572	1	7	7	NUM
cana-3844	572	2	conclusions	conclusion	NOUN
cana-3844	572	3	this	this	DET
cana-3844	572	4	study	study	NOUN
cana-3844	572	5	examined	examine	VERB
cana-3844	572	6	and	and	CCONJ
cana-3844	572	7	validated	validate	VERB
cana-3844	572	8	a	a	DET
cana-3844	572	9	fuzzy	fuzzy	ADJ
cana-3844	572	10	knowledge	knowledge	NOUN
cana-3844	572	11	measure	measure	NOUN
cana-3844	572	12	(	(	PUNCT
cana-3844	572	13	fkm	fkm	PROPN
cana-3844	572	14	)	)	PUNCT
cana-3844	572	15	,	,	PUNCT
cana-3844	572	16	demonstrating	demonstrate	VERB
cana-3844	572	17	its	its	PRON
cana-3844	572	18	effectiveness	effectiveness	NOUN
cana-3844	572	19	through	through	ADP
cana-3844	572	20	numerical	numerical	ADJ
cana-3844	572	21	examples	example	NOUN
cana-3844	572	22	.	.	PUNCT
cana-3844	573	1	the	the	DET
cana-3844	573	2	proposed	propose	VERB
cana-3844	573	3	fkm	fkm	NOUN
cana-3844	573	4	provides	provide	VERB
cana-3844	573	5	a	a	DET
cana-3844	573	6	robust	robust	ADJ
cana-3844	573	7	alternative	alternative	NOUN
cana-3844	573	8	for	for	ADP
cana-3844	573	9	addressing	address	VERB
cana-3844	573	10	biological	biological	ADJ
cana-3844	573	11	and	and	CCONJ
cana-3844	573	12	environmental	environmental	ADJ
cana-3844	573	13	performance	performance	NOUN
cana-3844	573	14	issues	issue	NOUN
cana-3844	573	15	by	by	ADP
cana-3844	573	16	assimilate	assimilate	VERB
cana-3844	573	17	structured	structured	ADJ
cana-3844	573	18	linguistic	linguistic	ADJ
cana-3844	573	19	variables	variable	NOUN
cana-3844	573	20	,	,	PUNCT
cana-3844	573	21	assessing	assess	VERB
cana-3844	573	22	ambiguity	ambiguity	NOUN
cana-3844	573	23	between	between	ADP
cana-3844	573	24	two	two	NUM
cana-3844	573	25	distinct	distinct	ADJ
cana-3844	573	26	fuzzy	fuzzy	ADJ
cana-3844	573	27	sets	set	NOUN
cana-3844	573	28	(	(	PUNCT
cana-3844	573	29	fss	fss	NOUN
cana-3844	573	30	)	)	PUNCT
cana-3844	573	31	,	,	PUNCT
cana-3844	573	32	and	and	CCONJ
cana-3844	573	33	calculating	calculate	VERB
cana-3844	573	34	objective	objective	ADJ
cana-3844	573	35	weights	weight	NOUN
cana-3844	573	36	.	.	PUNCT
cana-3844	574	1	comparative	comparative	ADJ
cana-3844	574	2	analysis	analysis	NOUN
cana-3844	574	3	with	with	ADP
cana-3844	574	4	various	various	ADJ
cana-3844	574	5	well	well	ADV
cana-3844	574	6	-	-	PUNCT
cana-3844	574	7	known	know	VERB
cana-3844	574	8	fuzzy	fuzzy	ADJ
cana-3844	574	9	information	information	NOUN
cana-3844	574	10	measures	measure	NOUN
cana-3844	574	11	(	(	PUNCT
cana-3844	574	12	fims	fim	NOUN
cana-3844	574	13	)	)	PUNCT
cana-3844	574	14	confirmed	confirm	VERB
cana-3844	574	15	the	the	DET
cana-3844	574	16	effectiveness	effectiveness	NOUN
cana-3844	574	17	of	of	ADP
cana-3844	574	18	the	the	DET
cana-3844	574	19	proposed	propose	VERB
cana-3844	574	20	fkm	fkm	PROPN
cana-3844	574	21	.	.	PUNCT
cana-3844	575	1	to	to	PART
cana-3844	575	2	overcome	overcome	VERB
cana-3844	575	3	the	the	DET
cana-3844	575	4	limitations	limitation	NOUN
cana-3844	575	5	of	of	ADP
cana-3844	575	6	the	the	DET
cana-3844	575	7	traditional	traditional	ADJ
cana-3844	575	8	approaches	approach	NOUN
cana-3844	575	9	,	,	PUNCT
cana-3844	575	10	this	this	DET
cana-3844	575	11	study	study	NOUN
cana-3844	575	12	introduces	introduce	VERB
cana-3844	575	13	a	a	DET
cana-3844	575	14	novel	novel	ADJ
cana-3844	575	15	solution	solution	NOUN
cana-3844	575	16	to	to	ADP
cana-3844	575	17	multi	multi	ADJ
cana-3844	575	18	-	-	VERB
cana-3844	575	19	criteria	criterion	NOUN
cana-3844	575	20	decisionmaking	decisionmake	VERB
cana-3844	575	21	(	(	PUNCT
cana-3844	575	22	mcdm	mcdm	ADJ
cana-3844	575	23	)	)	PUNCT
cana-3844	575	24	problems	problem	NOUN
cana-3844	575	25	by	by	ADP
cana-3844	575	26	combining	combine	VERB
cana-3844	575	27	the	the	DET
cana-3844	575	28	proposed	propose	VERB
cana-3844	575	29	fkm	fkm	NOUN
cana-3844	575	30	with	with	ADP
cana-3844	575	31	a	a	DET
cana-3844	575	32	fuzzy	fuzzy	ADJ
cana-3844	575	33	aggregation	aggregation	NOUN
cana-3844	575	34	model	model	NOUN
cana-3844	575	35	(	(	PUNCT
cana-3844	575	36	fam	fam	NOUN
cana-3844	575	37	)	)	PUNCT
cana-3844	575	38	and	and	CCONJ
cana-3844	575	39	utilizing	utilize	VERB
cana-3844	575	40	the	the	DET
cana-3844	575	41	gra	gra	PROPN
cana-3844	575	42	approach	approach	NOUN
cana-3844	575	43	for	for	ADP
cana-3844	575	44	more	more	ADV
cana-3844	575	45	effective	effective	ADJ
cana-3844	575	46	results	result	NOUN
cana-3844	575	47	.	.	PUNCT
cana-3844	576	1	the	the	DET
cana-3844	576	2	findings	finding	NOUN
cana-3844	576	3	are	be	AUX
cana-3844	576	4	promising	promise	VERB
cana-3844	576	5	during	during	ADP
cana-3844	576	6	this	this	DET
cana-3844	576	7	study	study	NOUN
cana-3844	576	8	.	.	PUNCT
cana-3844	577	1	the	the	DET
cana-3844	577	2	approach	approach	NOUN
cana-3844	577	3	calculates	calculate	VERB
cana-3844	577	4	criteria	criterion	NOUN
cana-3844	577	5	weights	weight	NOUN
cana-3844	577	6	using	use	VERB
cana-3844	577	7	two	two	NUM
cana-3844	577	8	methods	method	NOUN
cana-3844	577	9	:	:	PUNCT
cana-3844	577	10	one	one	NUM
cana-3844	577	11	for	for	ADP
cana-3844	577	12	unknown	unknown	ADJ
cana-3844	577	13	criteria	criterion	NOUN
cana-3844	577	14	weights	weight	NOUN
cana-3844	577	15	and	and	CCONJ
cana-3844	577	16	another	another	PRON
cana-3844	577	17	for	for	ADP
cana-3844	577	18	partially	partially	ADV
cana-3844	577	19	known	know	VERB
cana-3844	577	20	weights	weight	NOUN
cana-3844	577	21	.	.	PUNCT
cana-3844	578	1	finally	finally	ADV
cana-3844	578	2	the	the	DET
cana-3844	578	3	case	case	NOUN
cana-3844	578	4	study	study	NOUN
cana-3844	578	5	demonstrates	demonstrate	VERB
cana-3844	578	6	its	its	PRON
cana-3844	578	7	application	application	NOUN
cana-3844	578	8	in	in	ADP
cana-3844	578	9	reducing	reduce	VERB
cana-3844	578	10	𝐶𝑂2	𝐶𝑂2	PROPN
cana-3844	578	11	and	and	CCONJ
cana-3844	578	12	𝑁𝐻3	𝑁𝐻3	PROPN
cana-3844	578	13	levels	level	NOUN
cana-3844	578	14	within	within	ADP
cana-3844	578	15	an	an	DET
cana-3844	578	16	animal	animal	NOUN
cana-3844	578	17	barn	barn	NOUN
cana-3844	578	18	.	.	PUNCT
cana-3844	579	1	the	the	DET
cana-3844	579	2	communications	communication	NOUN
cana-3844	579	3	on	on	ADP
cana-3844	579	4	applied	apply	VERB
cana-3844	579	5	nonlinear	nonlinear	ADJ
cana-3844	579	6	analysis	analysis	NOUN
cana-3844	579	7	issn	issn	NOUN
cana-3844	579	8	:	:	PUNCT
cana-3844	579	9	1074	1074	NUM
cana-3844	579	10	-	-	PUNCT
cana-3844	579	11	133x	133x	NUM
cana-3844	579	12	vol	vol	NOUN
cana-3844	579	13	32	32	NUM
cana-3844	579	14	no	no	NOUN
cana-3844	579	15	.	.	PUNCT
cana-3844	580	1	9s	9s	NUM
cana-3844	580	2	(	(	PUNCT
cana-3844	580	3	2025	2025	NUM
cana-3844	580	4	)	)	PUNCT
cana-3844	580	5	162	162	NUM
cana-3844	581	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	581	2	proposed	propose	VERB
cana-3844	581	3	approach	approach	NOUN
cana-3844	581	4	has	have	VERB
cana-3844	581	5	significant	significant	ADJ
cana-3844	581	6	potential	potential	NOUN
cana-3844	581	7	for	for	ADP
cana-3844	581	8	identifying	identify	VERB
cana-3844	581	9	the	the	DET
cana-3844	581	10	best	good	ADJ
cana-3844	581	11	alternatives	alternative	NOUN
cana-3844	581	12	that	that	PRON
cana-3844	581	13	satisfy	satisfy	VERB
cana-3844	581	14	nearly	nearly	ADV
cana-3844	581	15	all	all	PRON
cana-3844	581	16	benefit	benefit	NOUN
cana-3844	581	17	criteria	criterion	NOUN
cana-3844	581	18	and	and	CCONJ
cana-3844	581	19	guiding	guide	VERB
cana-3844	581	20	experts	expert	NOUN
cana-3844	581	21	on	on	ADP
cana-3844	581	22	which	which	PRON
cana-3844	581	23	criteria	criterion	NOUN
cana-3844	581	24	may	may	AUX
cana-3844	581	25	hinder	hinder	VERB
cana-3844	581	26	the	the	DET
cana-3844	581	27	effectiveness	effectiveness	NOUN
cana-3844	581	28	of	of	ADP
cana-3844	581	29	specific	specific	ADJ
cana-3844	581	30	alternatives	alternative	NOUN
cana-3844	581	31	.	.	PUNCT
cana-3844	582	1	additionally	additionally	ADV
cana-3844	582	2	,	,	PUNCT
cana-3844	582	3	it	it	PRON
cana-3844	582	4	provides	provide	VERB
cana-3844	582	5	insights	insight	NOUN
cana-3844	582	6	into	into	ADP
cana-3844	582	7	why	why	SCONJ
cana-3844	582	8	certain	certain	ADJ
cana-3844	582	9	alternatives	alternative	NOUN
cana-3844	582	10	are	be	AUX
cana-3844	582	11	preferred	prefer	VERB
cana-3844	582	12	in	in	ADP
cana-3844	582	13	decision	decision	NOUN
cana-3844	582	14	-	-	PUNCT
cana-3844	582	15	making	make	VERB
cana-3844	582	16	contexts	context	NOUN
cana-3844	582	17	.	.	PUNCT
cana-3844	583	1	the	the	DET
cana-3844	583	2	method	method	NOUN
cana-3844	583	3	’s	’s	PART
cana-3844	583	4	flexibility	flexibility	NOUN
cana-3844	583	5	allows	allow	VERB
cana-3844	583	6	for	for	ADP
cana-3844	583	7	application	application	NOUN
cana-3844	583	8	across	across	ADP
cana-3844	583	9	various	various	ADJ
cana-3844	583	10	fuzzy	fuzzy	ADJ
cana-3844	583	11	scenarios	scenario	NOUN
cana-3844	583	12	without	without	ADP
cana-3844	583	13	requiring	require	VERB
cana-3844	583	14	complex	complex	ADJ
cana-3844	583	15	computations	computation	NOUN
cana-3844	583	16	.	.	PUNCT
cana-3844	584	1	future	future	ADJ
cana-3844	584	2	research	research	NOUN
cana-3844	584	3	could	could	AUX
cana-3844	584	4	extend	extend	VERB
cana-3844	584	5	such	such	ADJ
cana-3844	584	6	tool	tool	NOUN
cana-3844	584	7	which	which	PRON
cana-3844	584	8	simplify	simplify	VERB
cana-3844	584	9	the	the	DET
cana-3844	584	10	air	air	NOUN
cana-3844	584	11	pollutant	pollutant	ADJ
cana-3844	584	12	mitigation	mitigation	NOUN
cana-3844	584	13	process	process	NOUN
cana-3844	584	14	by	by	ADP
cana-3844	584	15	using	use	VERB
cana-3844	584	16	fuzzy	fuzzy	ADJ
cana-3844	584	17	set	set	VERB
cana-3844	584	18	concepts	concept	NOUN
cana-3844	584	19	to	to	PART
cana-3844	584	20	include	include	VERB
cana-3844	584	21	intuitionistic	intuitionistic	ADJ
cana-3844	584	22	fuzzy	fuzzy	ADJ
cana-3844	584	23	sets	set	NOUN
cana-3844	584	24	(	(	PUNCT
cana-3844	584	25	ifs	ifs	PROPN
cana-3844	584	26	)	)	PUNCT
cana-3844	584	27	,	,	PUNCT
cana-3844	584	28	hesitant	hesitant	ADJ
cana-3844	584	29	fuzzy	fuzzy	ADJ
cana-3844	584	30	sets	set	NOUN
cana-3844	584	31	(	(	PUNCT
cana-3844	584	32	hfs	hfs	PROPN
cana-3844	584	33	)	)	PUNCT
cana-3844	584	34	,	,	PUNCT
cana-3844	584	35	interval	interval	NOUN
cana-3844	584	36	-	-	PUNCT
cana-3844	584	37	valued	value	VERB
cana-3844	584	38	intuitionistic	intuitionistic	ADJ
cana-3844	584	39	fuzzy	fuzzy	ADJ
cana-3844	584	40	sets	set	NOUN
cana-3844	584	41	(	(	PUNCT
cana-3844	584	42	ivifs	ivif	NOUN
cana-3844	584	43	)	)	PUNCT
cana-3844	584	44	,	,	PUNCT
cana-3844	584	45	picture	picture	NOUN
cana-3844	584	46	fuzzy	fuzzy	ADJ
cana-3844	584	47	sets	set	NOUN
cana-3844	584	48	(	(	PUNCT
cana-3844	584	49	pfs	pfs	PROPN
cana-3844	584	50	)	)	PUNCT
cana-3844	584	51	,	,	PUNCT
cana-3844	584	52	and	and	CCONJ
cana-3844	584	53	neutrosophic	neutrosophic	ADJ
cana-3844	584	54	fuzzy	fuzzy	ADJ
cana-3844	584	55	sets	set	NOUN
cana-3844	584	56	(	(	PUNCT
cana-3844	584	57	nfs	nfs	NOUN
cana-3844	584	58	)	)	PUNCT
cana-3844	584	59	.	.	PUNCT
cana-3844	585	1	this	this	PRON
cana-3844	585	2	would	would	AUX
cana-3844	585	3	broaden	broaden	VERB
cana-3844	585	4	the	the	DET
cana-3844	585	5	potential	potential	ADJ
cana-3844	585	6	applications	application	NOUN
cana-3844	585	7	of	of	ADP
cana-3844	585	8	the	the	DET
cana-3844	585	9	proposed	propose	VERB
cana-3844	585	10	measures	measure	NOUN
cana-3844	585	11	to	to	PART
cana-3844	585	12	include	include	VERB
cana-3844	585	13	areas	area	NOUN
cana-3844	585	14	like	like	ADP
cana-3844	585	15	feature	feature	NOUN
cana-3844	585	16	detection	detection	NOUN
cana-3844	585	17	,	,	PUNCT
cana-3844	585	18	voice	voice	NOUN
cana-3844	585	19	recognition	recognition	NOUN
cana-3844	585	20	,	,	PUNCT
cana-3844	585	21	and	and	CCONJ
cana-3844	585	22	image	image	NOUN
cana-3844	585	23	threshold	threshold	NOUN
cana-3844	585	24	which	which	PRON
cana-3844	585	25	make	make	VERB
cana-3844	585	26	a	a	DET
cana-3844	585	27	benchmark	benchmark	NOUN
cana-3844	585	28	in	in	ADP
cana-3844	585	29	the	the	DET
cana-3844	585	30	future	future	ADJ
cana-3844	585	31	study	study	NOUN
cana-3844	585	32	.	.	PUNCT
cana-3844	586	1	references	reference	NOUN
cana-3844	586	2	[	[	X
cana-3844	586	3	1	1	NUM
cana-3844	586	4	]	]	PUNCT
cana-3844	586	5	l.	l.	PROPN
cana-3844	586	6	a.	a.	PROPN
cana-3844	586	7	zadeh	zadeh	PROPN
cana-3844	586	8	,	,	PUNCT
cana-3844	586	9	“	"	PUNCT
cana-3844	586	10	fuzzy	fuzzy	ADJ
cana-3844	586	11	sets	set	NOUN
cana-3844	586	12	,	,	PUNCT
cana-3844	586	13	”	"	PUNCT
cana-3844	586	14	information	information	NOUN
cana-3844	586	15	and	and	CCONJ
cana-3844	586	16	control	control	NOUN
cana-3844	586	17	,	,	PUNCT
cana-3844	586	18	vol	vol	NOUN
cana-3844	586	19	.	.	PROPN
cana-3844	586	20	8	8	NUM
cana-3844	586	21	,	,	PUNCT
cana-3844	586	22	no	no	INTJ
cana-3844	586	23	.	.	NOUN
cana-3844	586	24	3	3	NUM
cana-3844	586	25	,	,	PUNCT
cana-3844	586	26	pp	pp	ADJ
cana-3844	586	27	.	.	PUNCT
cana-3844	587	1	338–353	338–353	NUM
cana-3844	587	2	,	,	PUNCT
cana-3844	587	3	1965	1965	NUM
cana-3844	587	4	.	.	PUNCT
cana-3844	588	1	[	[	X
cana-3844	588	2	2	2	X
cana-3844	588	3	]	]	PUNCT
cana-3844	588	4	l.	l.	PROPN
cana-3844	588	5	xuecheng	xuecheng	PROPN
cana-3844	588	6	,	,	PUNCT
cana-3844	588	7	“	"	PUNCT
cana-3844	588	8	entropy	entropy	NOUN
cana-3844	588	9	,	,	PUNCT
cana-3844	588	10	distance	distance	NOUN
cana-3844	588	11	measure	measure	NOUN
cana-3844	588	12	and	and	CCONJ
cana-3844	588	13	similarity	similarity	NOUN
cana-3844	588	14	measure	measure	NOUN
cana-3844	588	15	of	of	ADP
cana-3844	588	16	fuzzy	fuzzy	ADJ
cana-3844	588	17	sets	set	NOUN
cana-3844	588	18	and	and	CCONJ
cana-3844	588	19	their	their	PRON
cana-3844	588	20	relations	relation	NOUN
cana-3844	588	21	,	,	PUNCT
cana-3844	588	22	”	"	PUNCT
cana-3844	588	23	fuzzy	fuzzy	ADJ
cana-3844	588	24	sets	set	NOUN
cana-3844	588	25	and	and	CCONJ
cana-3844	588	26	systems	system	NOUN
cana-3844	588	27	,	,	PUNCT
cana-3844	588	28	vol	vol	NOUN
cana-3844	588	29	.	.	PROPN
cana-3844	588	30	52	52	NUM
cana-3844	588	31	,	,	PUNCT
cana-3844	588	32	no	no	INTJ
cana-3844	588	33	.	.	NOUN
cana-3844	588	34	3	3	NUM
cana-3844	588	35	,	,	PUNCT
cana-3844	588	36	pp	pp	ADJ
cana-3844	588	37	.	.	PUNCT
cana-3844	589	1	305–318	305–318	NUM
cana-3844	589	2	,	,	PUNCT
cana-3844	589	3	1992	1992	NUM
cana-3844	589	4	.	.	PUNCT
cana-3844	590	1	[	[	X
cana-3844	590	2	3	3	NUM
cana-3844	590	3	]	]	PUNCT
cana-3844	590	4	a.	a.	NOUN
cana-3844	590	5	luca	luca	PROPN
cana-3844	590	6	and	and	CCONJ
cana-3844	590	7	s.	s.	PROPN
cana-3844	590	8	termini	termini	PROPN
cana-3844	590	9	,	,	PUNCT
cana-3844	590	10	“	"	PUNCT
cana-3844	590	11	a	a	DET
cana-3844	590	12	definition	definition	NOUN
cana-3844	590	13	of	of	ADP
cana-3844	590	14	non	non	ADJ
cana-3844	590	15	-	-	ADJ
cana-3844	590	16	probabilistic	probabilistic	ADJ
cana-3844	590	17	entropy	entropy	NOUN
cana-3844	590	18	in	in	ADP
cana-3844	590	19	the	the	DET
cana-3844	590	20	setting	setting	NOUN
cana-3844	590	21	of	of	ADP
cana-3844	590	22	fuzzy	fuzzy	ADJ
cana-3844	590	23	set	set	NOUN
cana-3844	590	24	theory	theory	NOUN
cana-3844	590	25	,	,	PUNCT
cana-3844	590	26	”	"	PUNCT
cana-3844	590	27	inf	inf	NOUN
cana-3844	590	28	control	control	NOUN
cana-3844	590	29	,	,	PUNCT
cana-3844	590	30	vol	vol	NOUN
cana-3844	590	31	.	.	PROPN
cana-3844	590	32	20	20	NUM
cana-3844	590	33	,	,	PUNCT
cana-3844	590	34	pp	pp	ADJ
cana-3844	590	35	.	.	PUNCT
cana-3844	591	1	301–312	301–312	NUM
cana-3844	591	2	,	,	PUNCT
cana-3844	591	3	1972	1972	NUM
cana-3844	591	4	.	.	PUNCT
cana-3844	592	1	[	[	X
cana-3844	592	2	4	4	NUM
cana-3844	592	3	]	]	X
cana-3844	592	4	c.	c.	PROPN
cana-3844	592	5	e.	e.	PROPN
cana-3844	592	6	shannon	shannon	PROPN
cana-3844	592	7	,	,	PUNCT
cana-3844	592	8	“	"	PUNCT
cana-3844	592	9	a	a	DET
cana-3844	592	10	mathematical	mathematical	ADJ
cana-3844	592	11	theory	theory	NOUN
cana-3844	592	12	of	of	ADP
cana-3844	592	13	communication	communication	NOUN
cana-3844	592	14	,	,	PUNCT
cana-3844	592	15	”	"	PUNCT
cana-3844	592	16	the	the	DET
cana-3844	592	17	bell	bell	PROPN
cana-3844	592	18	system	system	NOUN
cana-3844	592	19	technical	technical	ADJ
cana-3844	592	20	journal	journal	PROPN
cana-3844	592	21	,	,	PUNCT
cana-3844	592	22	vol	vol	NOUN
cana-3844	592	23	.	.	PROPN
cana-3844	592	24	27	27	NUM
cana-3844	592	25	,	,	PUNCT
cana-3844	592	26	no	no	INTJ
cana-3844	592	27	.	.	NOUN
cana-3844	592	28	3	3	NUM
cana-3844	592	29	,	,	PUNCT
cana-3844	592	30	pp	pp	ADJ
cana-3844	592	31	.	.	PUNCT
cana-3844	593	1	379–423	379–423	NUM
cana-3844	593	2	,	,	PUNCT
cana-3844	593	3	1948	1948	NUM
cana-3844	593	4	.	.	PUNCT
cana-3844	594	1	[	[	X
cana-3844	594	2	5	5	NUM
cana-3844	594	3	]	]	PUNCT
cana-3844	594	4	a.	a.	NOUN
cana-3844	594	5	kaufmann	kaufmann	PROPN
cana-3844	594	6	,	,	PUNCT
cana-3844	594	7	introduction	introduction	NOUN
cana-3844	594	8	to	to	ADP
cana-3844	594	9	the	the	DET
cana-3844	594	10	theory	theory	NOUN
cana-3844	594	11	of	of	ADP
cana-3844	594	12	fuzzy	fuzzy	ADJ
cana-3844	594	13	subsets	subset	NOUN
cana-3844	594	14	.	.	PUNCT
cana-3844	595	1	academic	academic	ADJ
cana-3844	595	2	press	press	NOUN
cana-3844	595	3	,	,	PUNCT
cana-3844	595	4	1975	1975	NUM
cana-3844	595	5	.	.	PUNCT
cana-3844	596	1	[	[	X
cana-3844	596	2	6	6	NUM
cana-3844	596	3	]	]	PUNCT
cana-3844	596	4	r.	r.	PROPN
cana-3844	596	5	r.	r.	PROPN
cana-3844	596	6	yager	yager	PROPN
cana-3844	596	7	,	,	PUNCT
cana-3844	596	8	“	"	PUNCT
cana-3844	596	9	on	on	ADP
cana-3844	596	10	the	the	DET
cana-3844	596	11	measure	measure	NOUN
cana-3844	596	12	of	of	ADP
cana-3844	596	13	fuzziness	fuzziness	NOUN
cana-3844	596	14	and	and	CCONJ
cana-3844	596	15	negation	negation	NOUN
cana-3844	596	16	part	part	NOUN
cana-3844	596	17	i	i	NOUN
cana-3844	596	18	:	:	PUNCT
cana-3844	596	19	membership	membership	NOUN
cana-3844	596	20	in	in	ADP
cana-3844	596	21	the	the	DET
cana-3844	596	22	unit	unit	NOUN
cana-3844	596	23	interval	interval	NOUN
cana-3844	596	24	,	,	PUNCT
cana-3844	596	25	”	"	PUNCT
cana-3844	596	26	1979	1979	NUM
cana-3844	596	27	.	.	PUNCT
cana-3844	597	1	[	[	X
cana-3844	597	2	7	7	X
cana-3844	597	3	]	]	X
cana-3844	597	4	s.	s.	PROPN
cana-3844	597	5	das	das	PROPN
cana-3844	597	6	,	,	PUNCT
cana-3844	597	7	l.	l.	PROPN
cana-3844	597	8	forer	forer	PROPN
cana-3844	597	9	,	,	PUNCT
cana-3844	597	10	s.	s.	PROPN
cana-3844	597	11	sch¨onherr	sch¨onherr	PROPN
cana-3844	597	12	,	,	PUNCT
cana-3844	597	13	c.	c.	PROPN
cana-3844	597	14	sidore	sidore	PROPN
cana-3844	597	15	,	,	PUNCT
cana-3844	597	16	a.	a.	PROPN
cana-3844	597	17	e.	e.	PROPN
cana-3844	597	18	locke	locke	PROPN
cana-3844	597	19	,	,	PUNCT
cana-3844	597	20	a.	a.	PROPN
cana-3844	597	21	kwong	kwong	PROPN
cana-3844	597	22	,	,	PUNCT
cana-3844	597	23	s.	s.	PROPN
cana-3844	597	24	i.	i.	PROPN
cana-3844	597	25	vrieze	vrieze	PROPN
cana-3844	597	26	,	,	PUNCT
cana-3844	597	27	e.	e.	PROPN
cana-3844	597	28	y.	y.	PROPN
cana-3844	597	29	chew	chew	PROPN
cana-3844	597	30	,	,	PUNCT
cana-3844	597	31	s.	s.	PROPN
cana-3844	597	32	levy	levy	PROPN
cana-3844	597	33	,	,	PUNCT
cana-3844	597	34	m.	m.	NOUN
cana-3844	597	35	mcgue	mcgue	NOUN
cana-3844	597	36	,	,	PUNCT
cana-3844	597	37	et	et	PROPN
cana-3844	597	38	al	al	PROPN
cana-3844	597	39	.	.	PROPN
cana-3844	597	40	,	,	PUNCT
cana-3844	597	41	“	"	PUNCT
cana-3844	597	42	next	next	ADJ
cana-3844	597	43	-	-	PUNCT
cana-3844	597	44	generation	generation	NOUN
cana-3844	597	45	genotype	genotype	NOUN
cana-3844	597	46	imputation	imputation	NOUN
cana-3844	597	47	service	service	NOUN
cana-3844	597	48	and	and	CCONJ
cana-3844	597	49	methods	method	NOUN
cana-3844	597	50	,	,	PUNCT
cana-3844	597	51	”	"	PUNCT
cana-3844	597	52	nature	nature	NOUN
cana-3844	597	53	genetics	genetic	NOUN
cana-3844	597	54	,	,	PUNCT
cana-3844	597	55	vol	vol	NOUN
cana-3844	597	56	.	.	PROPN
cana-3844	598	1	48	48	NUM
cana-3844	598	2	,	,	PUNCT
cana-3844	598	3	no	no	INTJ
cana-3844	598	4	.	.	NOUN
cana-3844	598	5	10	10	NUM
cana-3844	598	6	,	,	PUNCT
cana-3844	598	7	pp	pp	ADJ
cana-3844	598	8	.	.	PUNCT
cana-3844	599	1	1284	1284	NUM
cana-3844	599	2	–	–	PUNCT
cana-3844	599	3	1287	1287	NUM
cana-3844	599	4	,	,	PUNCT
cana-3844	599	5	2016	2016	NUM
cana-3844	599	6	.	.	PUNCT
cana-3844	600	1	[	[	X
cana-3844	600	2	8	8	NUM
cana-3844	600	3	]	]	X
cana-3844	600	4	s.	s.	PROPN
cana-3844	600	5	opricovic	opricovic	PROPN
cana-3844	600	6	,	,	PUNCT
cana-3844	600	7	“	"	PUNCT
cana-3844	600	8	a	a	DET
cana-3844	600	9	fuzzy	fuzzy	ADJ
cana-3844	600	10	compromise	compromise	NOUN
cana-3844	600	11	solution	solution	NOUN
cana-3844	600	12	for	for	ADP
cana-3844	600	13	multicriteria	multicriteria	PROPN
cana-3844	600	14	problems	problem	NOUN
cana-3844	600	15	,	,	PUNCT
cana-3844	600	16	”	"	PUNCT
cana-3844	600	17	international	international	ADJ
cana-3844	600	18	journal	journal	NOUN
cana-3844	600	19	of	of	ADP
cana-3844	600	20	uncertainty	uncertainty	NOUN
cana-3844	600	21	,	,	PUNCT
cana-3844	600	22	fuzziness	fuzziness	NOUN
cana-3844	600	23	and	and	CCONJ
cana-3844	600	24	knowledge	knowledge	NOUN
cana-3844	600	25	-	-	PUNCT
cana-3844	600	26	based	base	VERB
cana-3844	600	27	systems	system	NOUN
cana-3844	600	28	,	,	PUNCT
cana-3844	600	29	vol	vol	NOUN
cana-3844	600	30	.	.	PROPN
cana-3844	600	31	15	15	NUM
cana-3844	600	32	,	,	PUNCT
cana-3844	600	33	no	no	INTJ
cana-3844	600	34	.	.	NOUN
cana-3844	600	35	03	03	NUM
cana-3844	600	36	,	,	PUNCT
cana-3844	600	37	pp	pp	ADJ
cana-3844	600	38	.	.	PUNCT
cana-3844	601	1	363–380	363–380	NUM
cana-3844	601	2	,	,	PUNCT
cana-3844	601	3	2007	2007	NUM
cana-3844	601	4	.	.	PUNCT
cana-3844	602	1	[	[	X
cana-3844	602	2	9	9	NUM
cana-3844	602	3	]	]	PUNCT
cana-3844	602	4	a.	a.	NOUN
cana-3844	602	5	shemshadi	shemshadi	NOUN
cana-3844	602	6	,	,	PUNCT
cana-3844	602	7	h.	h.	PROPN
cana-3844	602	8	shirazi	shirazi	PROPN
cana-3844	602	9	,	,	PUNCT
cana-3844	602	10	m.	m.	NOUN
cana-3844	602	11	toreihi	toreihi	PROPN
cana-3844	602	12	,	,	PUNCT
cana-3844	602	13	and	and	CCONJ
cana-3844	602	14	m.	m.	PROPN
cana-3844	602	15	j.	j.	PROPN
cana-3844	602	16	tarokh	tarokh	PROPN
cana-3844	602	17	,	,	PUNCT
cana-3844	602	18	“	"	PUNCT
cana-3844	602	19	a	a	DET
cana-3844	602	20	fuzzy	fuzzy	ADJ
cana-3844	602	21	vikor	vikor	ADJ
cana-3844	602	22	method	method	NOUN
cana-3844	602	23	for	for	ADP
cana-3844	602	24	supplier	supplier	NOUN
cana-3844	602	25	selection	selection	NOUN
cana-3844	602	26	based	base	VERB
cana-3844	602	27	on	on	ADP
cana-3844	602	28	entropy	entropy	NOUN
cana-3844	602	29	measure	measure	NOUN
cana-3844	602	30	for	for	ADP
cana-3844	602	31	objective	objective	ADJ
cana-3844	602	32	weighting	weighting	NOUN
cana-3844	602	33	,	,	PUNCT
cana-3844	602	34	”	"	PUNCT
cana-3844	602	35	expert	expert	NOUN
cana-3844	602	36	systems	system	NOUN
cana-3844	602	37	with	with	ADP
cana-3844	602	38	applications	application	NOUN
cana-3844	602	39	,	,	PUNCT
cana-3844	602	40	vol	vol	NOUN
cana-3844	602	41	.	.	PROPN
cana-3844	602	42	38	38	NUM
cana-3844	602	43	,	,	PUNCT
cana-3844	602	44	no	no	INTJ
cana-3844	602	45	.	.	NOUN
cana-3844	602	46	10	10	NUM
cana-3844	602	47	,	,	PUNCT
cana-3844	602	48	pp	pp	ADJ
cana-3844	602	49	.	.	PUNCT
cana-3844	603	1	12160–12167	12160–12167	NUM
cana-3844	603	2	,	,	PUNCT
cana-3844	603	3	2011	2011	NUM
cana-3844	603	4	.	.	PUNCT
cana-3844	604	1	[	[	X
cana-3844	604	2	10	10	NUM
cana-3844	604	3	]	]	PUNCT
cana-3844	604	4	s.-p	s.-p	PROPN
cana-3844	604	5	.	.	PUNCT
cana-3844	605	1	wan	wan	PROPN
cana-3844	605	2	,	,	PUNCT
cana-3844	605	3	q.-y	q.-y	PROPN
cana-3844	605	4	.	.	PUNCT
cana-3844	606	1	wang	wang	PROPN
cana-3844	606	2	,	,	PUNCT
cana-3844	606	3	and	and	CCONJ
cana-3844	606	4	j.-y	j.-y	PROPN
cana-3844	606	5	.	.	PUNCT
cana-3844	607	1	dong	dong	PROPN
cana-3844	607	2	,	,	PUNCT
cana-3844	607	3	“	"	PUNCT
cana-3844	607	4	the	the	DET
cana-3844	607	5	extended	extend	VERB
cana-3844	607	6	vikor	vikor	ADJ
cana-3844	607	7	method	method	NOUN
cana-3844	607	8	for	for	ADP
cana-3844	607	9	multi	multi	ADJ
cana-3844	607	10	-	-	ADJ
cana-3844	607	11	attribute	attribute	NOUN
cana-3844	607	12	group	group	NOUN
cana-3844	607	13	decision	decision	NOUN
cana-3844	607	14	making	make	VERB
cana-3844	607	15	with	with	ADP
cana-3844	607	16	triangular	triangular	NOUN
cana-3844	607	17	intuitionistic	intuitionistic	ADJ
cana-3844	607	18	fuzzy	fuzzy	ADJ
cana-3844	607	19	numbers	number	NOUN
cana-3844	607	20	,	,	PUNCT
cana-3844	607	21	”	"	PUNCT
cana-3844	607	22	knowledge	knowledge	NOUN
cana-3844	607	23	-	-	PUNCT
cana-3844	607	24	based	base	VERB
cana-3844	607	25	systems	system	NOUN
cana-3844	607	26	,	,	PUNCT
cana-3844	607	27	vol	vol	NOUN
cana-3844	607	28	.	.	PROPN
cana-3844	607	29	52	52	NUM
cana-3844	607	30	,	,	PUNCT
cana-3844	607	31	pp	pp	ADJ
cana-3844	607	32	.	.	PUNCT
cana-3844	608	1	65–77	65–77	NUM
cana-3844	608	2	,	,	PUNCT
cana-3844	608	3	2013	2013	NUM
cana-3844	608	4	.	.	PUNCT
cana-3844	609	1	[	[	X
cana-3844	609	2	11	11	NUM
cana-3844	609	3	]	]	X
cana-3844	609	4	r.	r.	PROPN
cana-3844	609	5	kadian	kadian	PROPN
cana-3844	609	6	and	and	CCONJ
cana-3844	609	7	s.	s.	PROPN
cana-3844	609	8	kumar	kumar	PROPN
cana-3844	609	9	,	,	PUNCT
cana-3844	609	10	“	"	PUNCT
cana-3844	609	11	new	new	ADJ
cana-3844	609	12	fuzzy	fuzzy	ADJ
cana-3844	609	13	mean	mean	NOUN
cana-3844	609	14	codeword	codeword	NOUN
cana-3844	609	15	length	length	NOUN
cana-3844	609	16	and	and	CCONJ
cana-3844	609	17	similarity	similarity	NOUN
cana-3844	609	18	measure	measure	NOUN
cana-3844	609	19	,	,	PUNCT
cana-3844	609	20	”	"	PUNCT
cana-3844	609	21	granular	granular	ADJ
cana-3844	609	22	computing	computing	NOUN
cana-3844	609	23	,	,	PUNCT
cana-3844	609	24	vol	vol	NOUN
cana-3844	609	25	.	.	PROPN
cana-3844	609	26	7	7	NUM
cana-3844	609	27	,	,	PUNCT
cana-3844	609	28	no	no	INTJ
cana-3844	609	29	.	.	NOUN
cana-3844	609	30	3	3	NUM
cana-3844	609	31	,	,	PUNCT
cana-3844	609	32	pp	pp	ADJ
cana-3844	609	33	.	.	PUNCT
cana-3844	610	1	461–478	461–478	NUM
cana-3844	610	2	,	,	PUNCT
cana-3844	610	3	2022	2022	NUM
cana-3844	610	4	.	.	PUNCT
cana-3844	611	1	[	[	X
cana-3844	611	2	12	12	NUM
cana-3844	611	3	]	]	X
cana-3844	611	4	s.	s.	PROPN
cana-3844	611	5	singh	singh	PROPN
cana-3844	611	6	,	,	PUNCT
cana-3844	611	7	s.	s.	PROPN
cana-3844	611	8	lalotra	lalotra	PROPN
cana-3844	611	9	,	,	PUNCT
cana-3844	611	10	and	and	CCONJ
cana-3844	611	11	s.	s.	PROPN
cana-3844	611	12	sharma	sharma	PROPN
cana-3844	611	13	,	,	PUNCT
cana-3844	611	14	“	"	PUNCT
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cana-3844	611	16	concepts	concept	NOUN
cana-3844	611	17	in	in	ADP
cana-3844	611	18	fuzzy	fuzzy	ADJ
cana-3844	611	19	theory	theory	NOUN
cana-3844	611	20	:	:	PUNCT
cana-3844	611	21	entropy	entropy	PROPN
cana-3844	611	22	and	and	CCONJ
cana-3844	611	23	knowledge	knowledge	NOUN
cana-3844	611	24	measure	measure	NOUN
cana-3844	611	25	,	,	PUNCT
cana-3844	611	26	”	"	PUNCT
cana-3844	611	27	international	international	ADJ
cana-3844	611	28	journal	journal	NOUN
cana-3844	611	29	of	of	ADP
cana-3844	611	30	intelligent	intelligent	ADJ
cana-3844	611	31	systems	system	NOUN
cana-3844	611	32	,	,	PUNCT
cana-3844	611	33	vol	vol	NOUN
cana-3844	611	34	.	.	PROPN
cana-3844	611	35	34	34	NUM
cana-3844	611	36	,	,	PUNCT
cana-3844	611	37	no	no	INTJ
cana-3844	611	38	.	.	NOUN
cana-3844	611	39	5	5	NUM
cana-3844	611	40	,	,	PUNCT
cana-3844	611	41	pp	pp	ADJ
cana-3844	611	42	.	.	PUNCT
cana-3844	611	43	1034–1059	1034–1059	NUM
cana-3844	611	44	,	,	PUNCT
cana-3844	611	45	2019	2019	NUM
cana-3844	611	46	.	.	PUNCT
cana-3844	612	1	[	[	X
cana-3844	612	2	13	13	NUM
cana-3844	612	3	]	]	X
cana-3844	612	4	d.	d.	PROPN
cana-3844	612	5	e.	e.	PROPN
cana-3844	612	6	boekee	boekee	PROPN
cana-3844	612	7	and	and	CCONJ
cana-3844	612	8	j.	j.	PROPN
cana-3844	612	9	c.	c.	PROPN
cana-3844	612	10	van	van	PROPN
cana-3844	612	11	der	der	PROPN
cana-3844	612	12	lubbe	lubbe	NOUN
cana-3844	612	13	,	,	PUNCT
cana-3844	612	14	“	"	PUNCT
cana-3844	612	15	the	the	DET
cana-3844	612	16	r	r	NOUN
cana-3844	612	17	-	-	PUNCT
cana-3844	612	18	norm	norm	NOUN
cana-3844	612	19	information	information	NOUN
cana-3844	612	20	measure	measure	NOUN
cana-3844	612	21	,	,	PUNCT
cana-3844	612	22	”	"	PUNCT
cana-3844	612	23	information	information	NOUN
cana-3844	612	24	and	and	CCONJ
cana-3844	612	25	control	control	NOUN
cana-3844	612	26	,	,	PUNCT
cana-3844	612	27	vol	vol	NOUN
cana-3844	612	28	.	.	PROPN
cana-3844	613	1	45	45	NUM
cana-3844	613	2	,	,	PUNCT
cana-3844	613	3	no	no	INTJ
cana-3844	613	4	.	.	NOUN
cana-3844	613	5	2	2	NUM
cana-3844	613	6	,	,	PUNCT
cana-3844	613	7	pp	pp	ADJ
cana-3844	613	8	.	.	PUNCT
cana-3844	614	1	136–155	136–155	NUM
cana-3844	614	2	,	,	PUNCT
cana-3844	614	3	1980	1980	NUM
cana-3844	614	4	.	.	PUNCT
cana-3844	615	1	[	[	X
cana-3844	615	2	14	14	NUM
cana-3844	615	3	]	]	X
cana-3844	615	4	j.	j.	PROPN
cana-3844	615	5	havrda	havrda	PROPN
cana-3844	615	6	and	and	CCONJ
cana-3844	615	7	f.	f.	PROPN
cana-3844	615	8	charv´at	charv´at	PROPN
cana-3844	615	9	,	,	PUNCT
cana-3844	615	10	“	"	PUNCT
cana-3844	615	11	quantification	quantification	NOUN
cana-3844	615	12	method	method	NOUN
cana-3844	615	13	of	of	ADP
cana-3844	615	14	classification	classification	NOUN
cana-3844	615	15	processes	process	NOUN
cana-3844	615	16	.	.	PUNCT
cana-3844	616	1	concept	concept	NOUN
cana-3844	616	2	of	of	ADP
cana-3844	616	3	structural	structural	ADJ
cana-3844	616	4	α	α	NOUN
cana-3844	616	5	-	-	PUNCT
cana-3844	616	6	entropy	entropy	ADJ
cana-3844	616	7	,	,	PUNCT
cana-3844	616	8	”	"	PUNCT
cana-3844	616	9	kybernetika	kybernetika	NOUN
cana-3844	616	10	,	,	PUNCT
cana-3844	616	11	vol	vol	NOUN
cana-3844	616	12	.	.	PROPN
cana-3844	617	1	3	3	NUM
cana-3844	617	2	,	,	PUNCT
cana-3844	617	3	no	no	INTJ
cana-3844	617	4	.	.	NOUN
cana-3844	617	5	1	1	NUM
cana-3844	617	6	,	,	PUNCT
cana-3844	617	7	pp	pp	ADJ
cana-3844	617	8	.	.	PUNCT
cana-3844	618	1	30–35	30–35	NUM
cana-3844	618	2	,	,	PUNCT
cana-3844	618	3	1967	1967	NUM
cana-3844	618	4	.	.	PUNCT
cana-3844	619	1	communications	communication	NOUN
cana-3844	619	2	on	on	ADP
cana-3844	619	3	applied	apply	VERB
cana-3844	619	4	nonlinear	nonlinear	ADJ
cana-3844	619	5	analysis	analysis	NOUN
cana-3844	619	6	issn	issn	NOUN
cana-3844	619	7	:	:	PUNCT
cana-3844	619	8	1074	1074	NUM
cana-3844	619	9	-	-	PUNCT
cana-3844	619	10	133x	133x	NUM
cana-3844	619	11	vol	vol	NOUN
cana-3844	619	12	32	32	NUM
cana-3844	619	13	no	no	NOUN
cana-3844	619	14	.	.	PUNCT
cana-3844	620	1	9s	9s	NUM
cana-3844	620	2	(	(	PUNCT
cana-3844	620	3	2025	2025	NUM
cana-3844	620	4	)	)	PUNCT
cana-3844	620	5	163	163	NUM
cana-3844	620	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	621	1	[	[	X
cana-3844	621	2	15	15	NUM
cana-3844	621	3	]	]	X
cana-3844	621	4	c.	c.	PROPN
cana-3844	621	5	tsallis	tsallis	PROPN
cana-3844	621	6	,	,	PUNCT
cana-3844	621	7	“	"	PUNCT
cana-3844	621	8	possible	possible	ADJ
cana-3844	621	9	generalization	generalization	NOUN
cana-3844	621	10	of	of	ADP
cana-3844	621	11	boltzmann	boltzmann	PROPN
cana-3844	621	12	-	-	PUNCT
cana-3844	621	13	gibbs	gibbs	PROPN
cana-3844	621	14	statistics	statistic	NOUN
cana-3844	621	15	,	,	PUNCT
cana-3844	621	16	”	"	PUNCT
cana-3844	621	17	journal	journal	NOUN
cana-3844	621	18	of	of	ADP
cana-3844	621	19	statistical	statistical	ADJ
cana-3844	621	20	physics	physics	NOUN
cana-3844	621	21	,	,	PUNCT
cana-3844	621	22	vol	vol	NOUN
cana-3844	621	23	.	.	PROPN
cana-3844	621	24	52	52	NUM
cana-3844	621	25	,	,	PUNCT
cana-3844	621	26	pp	pp	ADJ
cana-3844	621	27	.	.	PUNCT
cana-3844	621	28	479	479	NUM
cana-3844	621	29	–	–	PUNCT
cana-3844	621	30	487	487	NUM
cana-3844	621	31	,	,	PUNCT
cana-3844	621	32	1988	1988	NUM
cana-3844	621	33	.	.	PUNCT
cana-3844	622	1	[	[	X
cana-3844	622	2	16	16	NUM
cana-3844	622	3	]	]	PUNCT
cana-3844	622	4	r.	r.	PROPN
cana-3844	622	5	joshi	joshi	PROPN
cana-3844	622	6	and	and	CCONJ
cana-3844	622	7	s.	s.	PROPN
cana-3844	622	8	kumar	kumar	PROPN
cana-3844	622	9	,	,	PUNCT
cana-3844	622	10	“	"	PUNCT
cana-3844	622	11	an	an	DET
cana-3844	622	12	exponential	exponential	ADJ
cana-3844	622	13	jensen	jensen	NOUN
cana-3844	622	14	fuzzy	fuzzy	ADJ
cana-3844	622	15	divergence	divergence	NOUN
cana-3844	622	16	measure	measure	NOUN
cana-3844	622	17	with	with	ADP
cana-3844	622	18	applications	application	NOUN
cana-3844	622	19	in	in	ADP
cana-3844	622	20	multiple	multiple	ADJ
cana-3844	622	21	attribute	attribute	NOUN
cana-3844	622	22	decision	decision	NOUN
cana-3844	622	23	-	-	PUNCT
cana-3844	622	24	making	making	NOUN
cana-3844	622	25	,	,	PUNCT
cana-3844	622	26	”	"	PUNCT
cana-3844	622	27	mathematical	mathematical	ADJ
cana-3844	622	28	problems	problem	NOUN
cana-3844	622	29	in	in	ADP
cana-3844	622	30	engineering	engineering	NOUN
cana-3844	622	31	,	,	PUNCT
cana-3844	622	32	vol	vol	NOUN
cana-3844	622	33	.	.	PROPN
cana-3844	622	34	2018	2018	NUM
cana-3844	622	35	,	,	PUNCT
cana-3844	622	36	no	no	INTJ
cana-3844	622	37	.	.	NOUN
cana-3844	622	38	1	1	NUM
cana-3844	622	39	,	,	PUNCT
cana-3844	622	40	p.	p.	NOUN
cana-3844	622	41	4342098	4342098	NUM
cana-3844	622	42	,	,	PUNCT
cana-3844	622	43	2018	2018	NUM
cana-3844	622	44	.	.	PUNCT
cana-3844	623	1	[	[	X
cana-3844	623	2	17	17	NUM
cana-3844	623	3	]	]	PUNCT
cana-3844	623	4	s.	s.	PROPN
cana-3844	623	5	kumar	kumar	PROPN
cana-3844	623	6	,	,	PUNCT
cana-3844	623	7	“	"	PUNCT
cana-3844	623	8	some	some	PRON
cana-3844	623	9	more	more	ADJ
cana-3844	623	10	results	result	NOUN
cana-3844	623	11	on	on	ADP
cana-3844	623	12	r	r	NOUN
cana-3844	623	13	-	-	PUNCT
cana-3844	623	14	norm	norm	NOUN
cana-3844	623	15	information	information	NOUN
cana-3844	623	16	measure	measure	NOUN
cana-3844	623	17	,	,	PUNCT
cana-3844	623	18	”	"	PUNCT
cana-3844	623	19	tamkang	tamkang	PROPN
cana-3844	623	20	journal	journal	PROPN
cana-3844	623	21	of	of	ADP
cana-3844	623	22	mathematics	mathematics	PROPN
cana-3844	623	23	,	,	PUNCT
cana-3844	623	24	vol	vol	NOUN
cana-3844	623	25	.	.	PROPN
cana-3844	623	26	40	40	NUM
cana-3844	623	27	,	,	PUNCT
cana-3844	623	28	no	no	INTJ
cana-3844	623	29	.	.	NOUN
cana-3844	623	30	1	1	NUM
cana-3844	623	31	,	,	PUNCT
cana-3844	623	32	pp	pp	PROPN
cana-3844	623	33	.	.	PUNCT
cana-3844	624	1	41–58	41–58	NUM
cana-3844	624	2	,	,	PUNCT
cana-3844	624	3	2009	2009	NUM
cana-3844	624	4	.	.	PUNCT
cana-3844	625	1	[	[	X
cana-3844	625	2	18	18	NUM
cana-3844	625	3	]	]	X
cana-3844	625	4	s.	s.	PROPN
cana-3844	625	5	kumar	kumar	PROPN
cana-3844	625	6	,	,	PUNCT
cana-3844	625	7	a.	a.	PROPN
cana-3844	625	8	choudhary	choudhary	PROPN
cana-3844	625	9	,	,	PUNCT
cana-3844	625	10	r.	r.	PROPN
cana-3844	625	11	kumar	kumar	PROPN
cana-3844	625	12	,	,	PUNCT
cana-3844	625	13	et	et	PROPN
cana-3844	625	14	al	al	PROPN
cana-3844	625	15	.	.	PROPN
cana-3844	625	16	,	,	PUNCT
cana-3844	625	17	“	"	PUNCT
cana-3844	625	18	some	some	PRON
cana-3844	625	19	more	more	ADJ
cana-3844	625	20	results	result	NOUN
cana-3844	625	21	on	on	ADP
cana-3844	625	22	a	a	DET
cana-3844	625	23	generalized	generalized	ADJ
cana-3844	625	24	parametric	parametric	ADJ
cana-3844	625	25	rnorm	rnorm	NOUN
cana-3844	625	26	information	information	NOUN
cana-3844	625	27	measure	measure	NOUN
cana-3844	625	28	of	of	ADP
cana-3844	625	29	type	type	NOUN
cana-3844	625	30	α	α	NOUN
cana-3844	625	31	,	,	PUNCT
cana-3844	625	32	”	"	PUNCT
cana-3844	625	33	journal	journal	NOUN
cana-3844	625	34	of	of	ADP
cana-3844	625	35	applied	apply	VERB
cana-3844	625	36	science	science	NOUN
cana-3844	625	37	and	and	CCONJ
cana-3844	625	38	engineering	engineering	NOUN
cana-3844	625	39	,	,	PUNCT
cana-3844	625	40	vol	vol	NOUN
cana-3844	625	41	.	.	PROPN
cana-3844	625	42	17	17	NUM
cana-3844	625	43	,	,	PUNCT
cana-3844	625	44	no	no	INTJ
cana-3844	625	45	.	.	NOUN
cana-3844	625	46	4	4	NUM
cana-3844	625	47	,	,	PUNCT
cana-3844	625	48	pp	pp	ADJ
cana-3844	625	49	.	.	PUNCT
cana-3844	626	1	447–453	447–453	NUM
cana-3844	626	2	,	,	PUNCT
cana-3844	626	3	2014	2014	NUM
cana-3844	626	4	.	.	PUNCT
cana-3844	627	1	[	[	X
cana-3844	627	2	19	19	NUM
cana-3844	627	3	]	]	X
cana-3844	627	4	d.	d.	PROPN
cana-3844	627	5	hooda	hooda	PROPN
cana-3844	627	6	,	,	PUNCT
cana-3844	627	7	“	"	PUNCT
cana-3844	627	8	on	on	ADP
cana-3844	627	9	generalized	generalized	ADJ
cana-3844	627	10	measures	measure	NOUN
cana-3844	627	11	of	of	ADP
cana-3844	627	12	fuzzy	fuzzy	ADJ
cana-3844	627	13	entropy	entropy	NOUN
cana-3844	627	14	,	,	PUNCT
cana-3844	627	15	”	"	PUNCT
cana-3844	627	16	mathematica	mathematica	PROPN
cana-3844	627	17	slovaca	slovaca	PROPN
cana-3844	627	18	,	,	PUNCT
cana-3844	627	19	vol	vol	NOUN
cana-3844	627	20	.	.	PROPN
cana-3844	628	1	54	54	NUM
cana-3844	628	2	,	,	PUNCT
cana-3844	628	3	no	no	INTJ
cana-3844	628	4	.	.	NOUN
cana-3844	628	5	3	3	NUM
cana-3844	628	6	,	,	PUNCT
cana-3844	628	7	pp	pp	ADJ
cana-3844	628	8	.	.	PUNCT
cana-3844	629	1	315–325	315–325	NUM
cana-3844	629	2	,	,	PUNCT
cana-3844	629	3	2004	2004	NUM
cana-3844	629	4	.	.	PUNCT
cana-3844	630	1	[	[	X
cana-3844	630	2	20	20	NUM
cana-3844	630	3	]	]	PUNCT
cana-3844	630	4	b.	b.	PROPN
cana-3844	630	5	kosko	kosko	PROPN
cana-3844	630	6	,	,	PUNCT
cana-3844	630	7	“	"	PUNCT
cana-3844	630	8	fuzzy	fuzzy	ADJ
cana-3844	630	9	entropy	entropy	NOUN
cana-3844	630	10	and	and	CCONJ
cana-3844	630	11	conditioning	conditioning	NOUN
cana-3844	630	12	,	,	PUNCT
cana-3844	630	13	”	"	PUNCT
cana-3844	630	14	information	information	NOUN
cana-3844	630	15	sciences	science	NOUN
cana-3844	630	16	,	,	PUNCT
cana-3844	630	17	vol	vol	NOUN
cana-3844	630	18	.	.	PROPN
cana-3844	630	19	40	40	NUM
cana-3844	630	20	,	,	PUNCT
cana-3844	630	21	no	no	INTJ
cana-3844	630	22	.	.	NOUN
cana-3844	630	23	2	2	NUM
cana-3844	630	24	,	,	PUNCT
cana-3844	630	25	pp	pp	ADJ
cana-3844	630	26	.	.	PUNCT
cana-3844	630	27	165	165	NUM
cana-3844	630	28	–	–	PUNCT
cana-3844	630	29	174	174	NUM
cana-3844	630	30	,	,	PUNCT
cana-3844	630	31	1986	1986	NUM
cana-3844	630	32	.	.	PUNCT
cana-3844	631	1	[	[	X
cana-3844	631	2	21	21	NUM
cana-3844	631	3	]	]	X
cana-3844	631	4	n.	n.	NOUN
cana-3844	631	5	pal	pal	NOUN
cana-3844	631	6	and	and	CCONJ
cana-3844	631	7	s.	s.	PROPN
cana-3844	631	8	k.	k.	PROPN
cana-3844	631	9	pal	pal	PROPN
cana-3844	631	10	,	,	PUNCT
cana-3844	631	11	“	"	PUNCT
cana-3844	631	12	object	object	NOUN
cana-3844	631	13	-	-	PUNCT
cana-3844	631	14	background	background	NOUN
cana-3844	631	15	segmentation	segmentation	NOUN
cana-3844	631	16	using	use	VERB
cana-3844	631	17	new	new	ADJ
cana-3844	631	18	definitions	definition	NOUN
cana-3844	631	19	of	of	ADP
cana-3844	631	20	entropy	entropy	NOUN
cana-3844	631	21	,	,	PUNCT
cana-3844	631	22	”	"	PUNCT
cana-3844	631	23	iee	iee	PROPN
cana-3844	631	24	proceedings	proceeding	NOUN
cana-3844	631	25	e	e	VERB
cana-3844	631	26	computers	computer	NOUN
cana-3844	631	27	and	and	CCONJ
cana-3844	631	28	digital	digital	ADJ
cana-3844	631	29	techniques	technique	NOUN
cana-3844	631	30	,	,	PUNCT
cana-3844	631	31	vol	vol	NOUN
cana-3844	631	32	.	.	PROPN
cana-3844	631	33	136	136	NUM
cana-3844	631	34	,	,	PUNCT
cana-3844	631	35	no	no	INTJ
cana-3844	631	36	.	.	NOUN
cana-3844	631	37	4	4	NUM
cana-3844	631	38	,	,	PUNCT
cana-3844	631	39	pp	pp	ADJ
cana-3844	631	40	.	.	PUNCT
cana-3844	632	1	284–295	284–295	NUM
cana-3844	632	2	,	,	PUNCT
cana-3844	632	3	1989	1989	NUM
cana-3844	632	4	.	.	PUNCT
cana-3844	633	1	[	[	X
cana-3844	633	2	22	22	NUM
cana-3844	633	3	]	]	X
cana-3844	633	4	s.	s.	PROPN
cana-3844	633	5	singh	singh	PROPN
cana-3844	633	6	,	,	PUNCT
cana-3844	633	7	s.	s.	PROPN
cana-3844	633	8	sharma	sharma	PROPN
cana-3844	633	9	,	,	PUNCT
cana-3844	633	10	and	and	CCONJ
cana-3844	633	11	a.	a.	PROPN
cana-3844	633	12	h.	h.	PROPN
cana-3844	633	13	ganie	ganie	PROPN
cana-3844	633	14	,	,	PUNCT
cana-3844	633	15	“	"	PUNCT
cana-3844	633	16	on	on	ADP
cana-3844	633	17	generalized	generalized	ADJ
cana-3844	633	18	knowledge	knowledge	NOUN
cana-3844	633	19	measure	measure	NOUN
cana-3844	633	20	and	and	CCONJ
cana-3844	633	21	generalized	generalized	ADJ
cana-3844	633	22	accuracy	accuracy	NOUN
cana-3844	633	23	measure	measure	NOUN
cana-3844	633	24	with	with	ADP
cana-3844	633	25	applications	application	NOUN
cana-3844	633	26	to	to	PART
cana-3844	633	27	madm	madm	VERB
cana-3844	633	28	and	and	CCONJ
cana-3844	633	29	pattern	pattern	NOUN
cana-3844	633	30	recognition	recognition	NOUN
cana-3844	633	31	,	,	PUNCT
cana-3844	633	32	”	"	PUNCT
cana-3844	633	33	computational	computational	ADJ
cana-3844	633	34	and	and	CCONJ
cana-3844	633	35	applied	applied	ADJ
cana-3844	633	36	mathematics	mathematic	NOUN
cana-3844	633	37	,	,	PUNCT
cana-3844	633	38	vol	vol	NOUN
cana-3844	633	39	.	.	PROPN
cana-3844	633	40	39	39	NUM
cana-3844	633	41	,	,	PUNCT
cana-3844	633	42	pp	pp	ADJ
cana-3844	633	43	.	.	PUNCT
cana-3844	634	1	1–44	1–44	NUM
cana-3844	634	2	,	,	PUNCT
cana-3844	634	3	2020	2020	NUM
cana-3844	634	4	.	.	PUNCT
cana-3844	635	1	[	[	X
cana-3844	635	2	23	23	NUM
cana-3844	635	3	]	]	PUNCT
cana-3844	635	4	v.	v.	CCONJ
cana-3844	635	5	arya	arya	PROPN
cana-3844	635	6	and	and	CCONJ
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cana-3844	635	10	“	"	PUNCT
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cana-3844	635	12	measure	measure	NOUN
cana-3844	635	13	and	and	CCONJ
cana-3844	635	14	entropy	entropy	PROPN
cana-3844	635	15	:	:	PUNCT
cana-3844	635	16	a	a	DET
cana-3844	635	17	complementary	complementary	ADJ
cana-3844	635	18	concept	concept	NOUN
cana-3844	635	19	in	in	ADP
cana-3844	635	20	fuzzy	fuzzy	ADJ
cana-3844	635	21	theory	theory	NOUN
cana-3844	635	22	,	,	PUNCT
cana-3844	635	23	”	"	PUNCT
cana-3844	635	24	granular	granular	ADJ
cana-3844	635	25	computing	computing	NOUN
cana-3844	635	26	,	,	PUNCT
cana-3844	635	27	vol	vol	NOUN
cana-3844	635	28	.	.	PROPN
cana-3844	635	29	6	6	NUM
cana-3844	635	30	,	,	PUNCT
cana-3844	635	31	no	no	INTJ
cana-3844	635	32	.	.	NOUN
cana-3844	635	33	3	3	NUM
cana-3844	635	34	,	,	PUNCT
cana-3844	635	35	pp	pp	ADJ
cana-3844	635	36	.	.	PUNCT
cana-3844	636	1	631–643	631–643	NOUN
cana-3844	636	2	,	,	PUNCT
cana-3844	636	3	2021	2021	NUM
cana-3844	636	4	.	.	PUNCT
cana-3844	637	1	[	[	X
cana-3844	637	2	24	24	NUM
cana-3844	637	3	]	]	X
cana-3844	637	4	s.	s.	PROPN
cana-3844	637	5	singh	singh	PROPN
cana-3844	637	6	and	and	CCONJ
cana-3844	637	7	a.	a.	PROPN
cana-3844	637	8	h.	h.	PROPN
cana-3844	637	9	ganie	ganie	PROPN
cana-3844	637	10	,	,	PUNCT
cana-3844	637	11	“	"	PUNCT
cana-3844	637	12	two	two	NUM
cana-3844	637	13	-	-	PUNCT
cana-3844	637	14	parametric	parametric	ADJ
cana-3844	637	15	generalized	generalize	VERB
cana-3844	637	16	fuzzy	fuzzy	ADJ
cana-3844	637	17	knowledge	knowledge	NOUN
cana-3844	637	18	measure	measure	NOUN
cana-3844	637	19	and	and	CCONJ
cana-3844	637	20	accuracy	accuracy	NOUN
cana-3844	637	21	measure	measure	NOUN
cana-3844	637	22	with	with	ADP
cana-3844	637	23	applications	application	NOUN
cana-3844	637	24	,	,	PUNCT
cana-3844	637	25	”	"	PUNCT
cana-3844	637	26	international	international	ADJ
cana-3844	637	27	journal	journal	NOUN
cana-3844	637	28	of	of	ADP
cana-3844	637	29	intelligent	intelligent	ADJ
cana-3844	637	30	systems	system	NOUN
cana-3844	637	31	,	,	PUNCT
cana-3844	637	32	vol	vol	NOUN
cana-3844	637	33	.	.	PROPN
cana-3844	637	34	37	37	NUM
cana-3844	637	35	,	,	PUNCT
cana-3844	637	36	no	no	INTJ
cana-3844	637	37	.	.	NOUN
cana-3844	637	38	7	7	NUM
cana-3844	637	39	,	,	PUNCT
cana-3844	637	40	pp	pp	ADJ
cana-3844	637	41	.	.	PUNCT
cana-3844	638	1	3836–3880	3836–3880	NUM
cana-3844	638	2	,	,	PUNCT
cana-3844	638	3	2022	2022	NUM
cana-3844	638	4	.	.	PUNCT
cana-3844	639	1	[	[	X
cana-3844	639	2	25	25	NUM
cana-3844	639	3	]	]	X
cana-3844	639	4	v.	v.	CCONJ
cana-3844	639	5	tahani	tahani	PROPN
cana-3844	639	6	,	,	PUNCT
cana-3844	639	7	“	"	PUNCT
cana-3844	639	8	a	a	DET
cana-3844	639	9	conceptual	conceptual	ADJ
cana-3844	639	10	framework	framework	NOUN
cana-3844	639	11	for	for	ADP
cana-3844	639	12	fuzzy	fuzzy	ADJ
cana-3844	639	13	query	query	NOUN
cana-3844	639	14	processing	process	VERB
cana-3844	639	15	a	a	DET
cana-3844	639	16	step	step	NOUN
cana-3844	639	17	toward	toward	ADP
cana-3844	639	18	very	very	ADV
cana-3844	639	19	intelligent	intelligent	ADJ
cana-3844	639	20	database	database	NOUN
cana-3844	639	21	systems	system	NOUN
cana-3844	639	22	,	,	PUNCT
cana-3844	639	23	”	"	PUNCT
cana-3844	639	24	information	information	NOUN
cana-3844	639	25	processing	processing	NOUN
cana-3844	639	26	&	&	CCONJ
cana-3844	639	27	management	management	NOUN
cana-3844	639	28	,	,	PUNCT
cana-3844	639	29	vol	vol	NOUN
cana-3844	639	30	.	.	PROPN
cana-3844	639	31	13	13	NUM
cana-3844	639	32	,	,	PUNCT
cana-3844	639	33	no	no	INTJ
cana-3844	639	34	.	.	NOUN
cana-3844	639	35	5	5	NUM
cana-3844	639	36	,	,	PUNCT
cana-3844	639	37	pp	pp	ADJ
cana-3844	639	38	.	.	PUNCT
cana-3844	640	1	289–303	289–303	NUM
cana-3844	640	2	,	,	PUNCT
cana-3844	640	3	1977	1977	NUM
cana-3844	640	4	.	.	PUNCT
cana-3844	641	1	[	[	X
cana-3844	641	2	26	26	NUM
cana-3844	641	3	]	]	X
cana-3844	641	4	j.	j.	PROPN
cana-3844	641	5	kacprzyk	kacprzyk	PROPN
cana-3844	641	6	and	and	CCONJ
cana-3844	641	7	a.	a.	NOUN
cana-3844	641	8	ziolkowski	ziolkowski	PROPN
cana-3844	641	9	,	,	PUNCT
cana-3844	641	10	“	"	PUNCT
cana-3844	641	11	database	database	NOUN
cana-3844	641	12	queries	query	VERB
cana-3844	641	13	with	with	ADP
cana-3844	641	14	fuzzy	fuzzy	ADJ
cana-3844	641	15	linguistic	linguistic	ADJ
cana-3844	641	16	quantifiers	quantifier	NOUN
cana-3844	641	17	,	,	PUNCT
cana-3844	641	18	”	"	PUNCT
cana-3844	641	19	ieee	ieee	NOUN
cana-3844	641	20	transactions	transaction	NOUN
cana-3844	641	21	on	on	ADP
cana-3844	641	22	systems	system	NOUN
cana-3844	641	23	,	,	PUNCT
cana-3844	641	24	man	man	NOUN
cana-3844	641	25	,	,	PUNCT
cana-3844	641	26	and	and	CCONJ
cana-3844	641	27	cybernetics	cybernetic	NOUN
cana-3844	641	28	,	,	PUNCT
cana-3844	641	29	vol	vol	NOUN
cana-3844	641	30	.	.	PROPN
cana-3844	642	1	16	16	NUM
cana-3844	642	2	,	,	PUNCT
cana-3844	642	3	no	no	INTJ
cana-3844	642	4	.	.	NOUN
cana-3844	642	5	3	3	NUM
cana-3844	642	6	,	,	PUNCT
cana-3844	642	7	pp	pp	ADJ
cana-3844	642	8	.	.	PUNCT
cana-3844	643	1	474–479	474–479	NUM
cana-3844	643	2	,	,	PUNCT
cana-3844	643	3	1986	1986	NUM
cana-3844	643	4	.	.	PUNCT
cana-3844	644	1	[	[	X
cana-3844	644	2	27	27	NUM
cana-3844	644	3	]	]	X
cana-3844	644	4	f.	f.	PROPN
cana-3844	644	5	e.	e.	PROPN
cana-3844	644	6	petry	petry	PROPN
cana-3844	644	7	,	,	PUNCT
cana-3844	644	8	fuzzy	fuzzy	ADJ
cana-3844	644	9	databases	database	NOUN
cana-3844	644	10	:	:	PUNCT
cana-3844	644	11	principles	principle	NOUN
cana-3844	644	12	and	and	CCONJ
cana-3844	644	13	applications	application	NOUN
cana-3844	644	14	,	,	PUNCT
cana-3844	644	15	vol	vol	NOUN
cana-3844	644	16	.	.	PROPN
cana-3844	644	17	5	5	NUM
cana-3844	644	18	.	.	X
cana-3844	644	19	springer	springer	NOUN
cana-3844	644	20	science	science	PROPN
cana-3844	644	21	&	&	CCONJ
cana-3844	644	22	business	business	NOUN
cana-3844	644	23	media	medium	NOUN
cana-3844	644	24	,	,	PUNCT
cana-3844	644	25	2012	2012	NUM
cana-3844	644	26	.	.	PUNCT
cana-3844	645	1	[	[	X
cana-3844	645	2	28	28	NUM
cana-3844	645	3	]	]	PUNCT
cana-3844	645	4	w.-l	w.-l	PROPN
cana-3844	645	5	.	.	PUNCT
cana-3844	646	1	hung	hung	PROPN
cana-3844	646	2	and	and	CCONJ
cana-3844	646	3	m.-s	m.-	NOUN
cana-3844	646	4	.	.	PUNCT
cana-3844	647	1	yang	yang	PROPN
cana-3844	647	2	,	,	PUNCT
cana-3844	647	3	“	"	PUNCT
cana-3844	647	4	fuzzy	fuzzy	ADJ
cana-3844	647	5	entropy	entropy	NOUN
cana-3844	647	6	on	on	ADP
cana-3844	647	7	intuitionistic	intuitionistic	ADJ
cana-3844	647	8	fuzzy	fuzzy	ADJ
cana-3844	647	9	sets	set	NOUN
cana-3844	647	10	,	,	PUNCT
cana-3844	647	11	”	"	PUNCT
cana-3844	647	12	international	international	ADJ
cana-3844	647	13	journal	journal	NOUN
cana-3844	647	14	of	of	ADP
cana-3844	647	15	intelligent	intelligent	ADJ
cana-3844	647	16	systems	system	NOUN
cana-3844	647	17	,	,	PUNCT
cana-3844	647	18	vol	vol	NOUN
cana-3844	647	19	.	.	PROPN
cana-3844	647	20	21	21	NUM
cana-3844	647	21	,	,	PUNCT
cana-3844	647	22	no	no	INTJ
cana-3844	647	23	.	.	NOUN
cana-3844	647	24	4	4	NUM
cana-3844	647	25	,	,	PUNCT
cana-3844	647	26	pp	pp	ADJ
cana-3844	647	27	.	.	PUNCT
cana-3844	648	1	443–451	443–451	NUM
cana-3844	648	2	,	,	PUNCT
cana-3844	648	3	2006	2006	NUM
cana-3844	648	4	.	.	PUNCT
cana-3844	649	1	[	[	X
cana-3844	649	2	29	29	NUM
cana-3844	649	3	]	]	SYM
cana-3844	649	4	c.-m	c.-m	NOUN
cana-3844	649	5	.	.	PUNCT
cana-3844	650	1	hwang	hwang	PROPN
cana-3844	650	2	and	and	CCONJ
cana-3844	650	3	m.-s	m.-s	PROPN
cana-3844	650	4	.	.	PUNCT
cana-3844	651	1	yang	yang	PROPN
cana-3844	651	2	,	,	PUNCT
cana-3844	651	3	“	"	PUNCT
cana-3844	651	4	on	on	ADP
cana-3844	651	5	entropy	entropy	NOUN
cana-3844	651	6	of	of	ADP
cana-3844	651	7	fuzzy	fuzzy	ADJ
cana-3844	651	8	sets	set	NOUN
cana-3844	651	9	,	,	PUNCT
cana-3844	651	10	”	"	PUNCT
cana-3844	651	11	international	international	ADJ
cana-3844	651	12	journal	journal	NOUN
cana-3844	651	13	of	of	ADP
cana-3844	651	14	uncertainty	uncertainty	NOUN
cana-3844	651	15	,	,	PUNCT
cana-3844	651	16	fuzziness	fuzziness	NOUN
cana-3844	651	17	and	and	CCONJ
cana-3844	651	18	knowledge	knowledge	NOUN
cana-3844	651	19	-	-	PUNCT
cana-3844	651	20	based	base	VERB
cana-3844	651	21	systems	system	NOUN
cana-3844	651	22	,	,	PUNCT
cana-3844	651	23	vol	vol	NOUN
cana-3844	651	24	.	.	PROPN
cana-3844	652	1	16	16	NUM
cana-3844	652	2	,	,	PUNCT
cana-3844	652	3	no	no	INTJ
cana-3844	652	4	.	.	NOUN
cana-3844	652	5	04	04	NUM
cana-3844	652	6	,	,	PUNCT
cana-3844	652	7	pp	pp	ADJ
cana-3844	652	8	.	.	PUNCT
cana-3844	653	1	519–527	519–527	NUM
cana-3844	653	2	,	,	PUNCT
cana-3844	653	3	2008	2008	NUM
cana-3844	653	4	.	.	PUNCT
cana-3844	654	1	[	[	X
cana-3844	654	2	30	30	NUM
cana-3844	654	3	]	]	PUNCT
cana-3844	654	4	m.	m.	NOUN
cana-3844	654	5	liu	liu	PROPN
cana-3844	654	6	and	and	CCONJ
cana-3844	654	7	h.	h.	PROPN
cana-3844	654	8	ren	ren	PROPN
cana-3844	654	9	,	,	PUNCT
cana-3844	654	10	“	"	PUNCT
cana-3844	654	11	a	a	DET
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cana-3844	654	13	intuitionistic	intuitionistic	ADJ
cana-3844	654	14	fuzzy	fuzzy	ADJ
cana-3844	654	15	entropy	entropy	NOUN
cana-3844	654	16	and	and	CCONJ
cana-3844	654	17	application	application	NOUN
cana-3844	654	18	in	in	ADP
cana-3844	654	19	multi	multi	ADJ
cana-3844	654	20	-	-	ADJ
cana-3844	654	21	attribute	attribute	NOUN
cana-3844	654	22	decision	decision	NOUN
cana-3844	654	23	making	making	NOUN
cana-3844	654	24	,	,	PUNCT
cana-3844	654	25	”	"	PUNCT
cana-3844	654	26	information	information	NOUN
cana-3844	654	27	,	,	PUNCT
cana-3844	654	28	vol	vol	NOUN
cana-3844	654	29	.	.	PROPN
cana-3844	655	1	5	5	NUM
cana-3844	655	2	,	,	PUNCT
cana-3844	655	3	no	no	INTJ
cana-3844	655	4	.	.	NOUN
cana-3844	655	5	4	4	NUM
cana-3844	655	6	,	,	PUNCT
cana-3844	655	7	pp	pp	ADJ
cana-3844	655	8	.	.	PUNCT
cana-3844	656	1	587–601	587–601	NUM
cana-3844	656	2	,	,	PUNCT
cana-3844	656	3	2014	2014	NUM
cana-3844	656	4	.	.	PUNCT
cana-3844	657	1	[	[	X
cana-3844	657	2	31	31	NUM
cana-3844	657	3	]	]	PUNCT
cana-3844	657	4	m.	m.	NOUN
cana-3844	657	5	xia	xia	PROPN
cana-3844	657	6	and	and	CCONJ
cana-3844	657	7	z.	z.	PROPN
cana-3844	657	8	xu	xu	PROPN
cana-3844	657	9	,	,	PUNCT
cana-3844	657	10	“	"	PUNCT
cana-3844	657	11	entropy	entropy	PROPN
cana-3844	657	12	/	/	SYM
cana-3844	657	13	cross	cross	VERB
cana-3844	657	14	entropy	entropy	NOUN
cana-3844	657	15	-	-	PUNCT
cana-3844	657	16	based	base	VERB
cana-3844	657	17	group	group	NOUN
cana-3844	657	18	decision	decision	NOUN
cana-3844	657	19	making	make	VERB
cana-3844	657	20	under	under	ADP
cana-3844	657	21	intuitionistic	intuitionistic	ADJ
cana-3844	657	22	fuzzy	fuzzy	ADJ
cana-3844	657	23	environment	environment	NOUN
cana-3844	657	24	,	,	PUNCT
cana-3844	657	25	”	"	PUNCT
cana-3844	657	26	information	information	NOUN
cana-3844	657	27	fusion	fusion	NOUN
cana-3844	657	28	,	,	PUNCT
cana-3844	657	29	vol	vol	NOUN
cana-3844	657	30	.	.	PROPN
cana-3844	657	31	13	13	NUM
cana-3844	657	32	,	,	PUNCT
cana-3844	657	33	no	no	INTJ
cana-3844	657	34	.	.	NOUN
cana-3844	657	35	1	1	NUM
cana-3844	657	36	,	,	PUNCT
cana-3844	657	37	pp	pp	ADJ
cana-3844	657	38	.	.	PUNCT
cana-3844	657	39	31–47	31–47	NUM
cana-3844	657	40	,	,	PUNCT
cana-3844	657	41	2012	2012	NUM
cana-3844	657	42	.	.	PUNCT
cana-3844	658	1	[	[	X
cana-3844	658	2	32	32	NUM
cana-3844	658	3	]	]	X
cana-3844	658	4	d.	d.	PROPN
cana-3844	658	5	ju	ju	PROPN
cana-3844	658	6	-	-	PUNCT
cana-3844	658	7	long	long	ADV
cana-3844	658	8	,	,	PUNCT
cana-3844	658	9	“	"	PUNCT
cana-3844	658	10	control	control	NOUN
cana-3844	658	11	problems	problem	NOUN
cana-3844	658	12	of	of	ADP
cana-3844	658	13	grey	grey	PROPN
cana-3844	658	14	systems	system	NOUN
cana-3844	658	15	,	,	PUNCT
cana-3844	658	16	”	"	PUNCT
cana-3844	658	17	systems	system	NOUN
cana-3844	658	18	&	&	CCONJ
cana-3844	658	19	control	control	PROPN
cana-3844	658	20	letters	letter	NOUN
cana-3844	658	21	,	,	PUNCT
cana-3844	658	22	vol	vol	NOUN
cana-3844	658	23	.	.	PROPN
cana-3844	658	24	1	1	NUM
cana-3844	658	25	,	,	PUNCT
cana-3844	658	26	no	no	INTJ
cana-3844	658	27	.	.	NOUN
cana-3844	658	28	5	5	NUM
cana-3844	658	29	,	,	PUNCT
cana-3844	658	30	pp	pp	ADJ
cana-3844	658	31	.	.	PUNCT
cana-3844	659	1	288–294	288–294	NUM
cana-3844	659	2	,	,	PUNCT
cana-3844	659	3	1982	1982	NUM
cana-3844	659	4	.	.	PUNCT
cana-3844	660	1	communications	communication	NOUN
cana-3844	660	2	on	on	ADP
cana-3844	660	3	applied	apply	VERB
cana-3844	660	4	nonlinear	nonlinear	ADJ
cana-3844	660	5	analysis	analysis	NOUN
cana-3844	660	6	issn	issn	NOUN
cana-3844	660	7	:	:	PUNCT
cana-3844	660	8	1074	1074	NUM
cana-3844	660	9	-	-	PUNCT
cana-3844	660	10	133x	133x	NUM
cana-3844	660	11	vol	vol	NOUN
cana-3844	660	12	32	32	NUM
cana-3844	660	13	no	no	NOUN
cana-3844	660	14	.	.	PUNCT
cana-3844	661	1	9s	9s	NUM
cana-3844	661	2	(	(	PUNCT
cana-3844	661	3	2025	2025	NUM
cana-3844	661	4	)	)	PUNCT
cana-3844	661	5	164	164	NUM
cana-3844	661	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3844	662	1	[	[	X
cana-3844	662	2	33	33	NUM
cana-3844	662	3	]	]	PUNCT
cana-3844	662	4	g.	g.	PROPN
cana-3844	662	5	zeng	zeng	PROPN
cana-3844	662	6	,	,	PUNCT
cana-3844	662	7	r.	r.	PROPN
cana-3844	662	8	jiang	jiang	PROPN
cana-3844	662	9	,	,	PUNCT
cana-3844	662	10	g.	g.	PROPN
cana-3844	662	11	huang	huang	PROPN
cana-3844	662	12	,	,	PUNCT
cana-3844	662	13	m.	m.	PROPN
cana-3844	662	14	xu	xu	PROPN
cana-3844	662	15	,	,	PUNCT
cana-3844	662	16	and	and	CCONJ
cana-3844	662	17	j.	j.	PROPN
cana-3844	662	18	li	li	PROPN
cana-3844	662	19	,	,	PUNCT
cana-3844	662	20	“	"	PUNCT
cana-3844	662	21	optimization	optimization	NOUN
cana-3844	662	22	of	of	ADP
cana-3844	662	23	wastewater	wastewater	NOUN
cana-3844	662	24	treatment	treatment	NOUN
cana-3844	662	25	alternative	alternative	ADJ
cana-3844	662	26	selection	selection	NOUN
cana-3844	662	27	by	by	ADP
cana-3844	662	28	hierarchy	hierarchy	NOUN
cana-3844	662	29	grey	grey	PROPN
cana-3844	662	30	relational	relational	ADJ
cana-3844	662	31	analysis	analysis	NOUN
cana-3844	662	32	,	,	PUNCT
cana-3844	662	33	”	"	PUNCT
cana-3844	662	34	journal	journal	NOUN
cana-3844	662	35	of	of	ADP
cana-3844	662	36	environmental	environmental	ADJ
cana-3844	662	37	management	management	NOUN
cana-3844	662	38	,	,	PUNCT
cana-3844	662	39	vol	vol	NOUN
cana-3844	662	40	.	.	PROPN
cana-3844	662	41	82	82	NUM
cana-3844	662	42	,	,	PUNCT
cana-3844	662	43	no	no	INTJ
cana-3844	662	44	.	.	NOUN
cana-3844	662	45	2	2	NUM
cana-3844	662	46	,	,	PUNCT
cana-3844	662	47	pp	pp	ADJ
cana-3844	662	48	.	.	PUNCT
cana-3844	663	1	250–259	250–259	NUM
cana-3844	663	2	,	,	PUNCT
cana-3844	663	3	2007	2007	NUM
cana-3844	663	4	.	.	PUNCT
cana-3844	664	1	[	[	X
cana-3844	664	2	34	34	NUM
cana-3844	664	3	]	]	X
cana-3844	664	4	s.	s.	PROPN
cana-3844	664	5	uguz	uguz	PROPN
cana-3844	664	6	,	,	PUNCT
cana-3844	664	7	t.	t.	PROPN
cana-3844	664	8	arsu	arsu	PROPN
cana-3844	664	9	,	,	PUNCT
cana-3844	664	10	x.	x.	PROPN
cana-3844	664	11	yang	yang	PROPN
cana-3844	664	12	,	,	PUNCT
cana-3844	664	13	and	and	CCONJ
cana-3844	664	14	g.	g.	PROPN
cana-3844	664	15	anderson	anderson	PROPN
cana-3844	664	16	,	,	PUNCT
cana-3844	664	17	“	"	PUNCT
cana-3844	664	18	multi	multi	ADJ
cana-3844	664	19	-	-	ADJ
cana-3844	664	20	criteria	criterion	NOUN
cana-3844	664	21	decision	decision	NOUN
cana-3844	664	22	analysis	analysis	NOUN
cana-3844	664	23	for	for	ADP
cana-3844	664	24	optimizing	optimize	VERB
cana-3844	664	25	co2	co2	NOUN
cana-3844	664	26	and	and	CCONJ
cana-3844	664	27	nh3	nh3	NOUN
cana-3844	664	28	removal	removal	NOUN
cana-3844	664	29	by	by	ADP
cana-3844	664	30	scene	scene	NOUN
cana-3844	664	31	desmus	desmus	VERB
cana-3844	664	32	di	di	NOUN
cana-3844	664	33	morph	morph	VERB
cana-3844	664	34	us	we	PRON
cana-3844	664	35	photo	photo	NOUN
cana-3844	664	36	bioreactors	bioreactor	NOUN
cana-3844	664	37	,	,	PUNCT
cana-3844	664	38	”	"	PUNCT
cana-3844	664	39	atmosphere	atmosphere	NOUN
cana-3844	664	40	,	,	PUNCT
cana-3844	664	41	vol	vol	NOUN
cana-3844	664	42	.	.	PROPN
cana-3844	665	1	14	14	NUM
cana-3844	665	2	,	,	PUNCT
cana-3844	665	3	no	no	INTJ
cana-3844	665	4	.	.	NOUN
cana-3844	665	5	7	7	NUM
cana-3844	665	6	,	,	PUNCT
cana-3844	665	7	p.	p.	NOUN
cana-3844	665	8	1079	1079	NUM
cana-3844	665	9	,	,	PUNCT
cana-3844	665	10	2023	2023	NUM
cana-3844	665	11	.	.	PUNCT
cana-3844	666	1	[	[	X
cana-3844	666	2	35	35	NUM
cana-3844	666	3	]	]	X
cana-3844	666	4	h.	h.	PROPN
cana-3844	666	5	j.	j.	PROPN
cana-3844	666	6	ryu	ryu	PROPN
cana-3844	666	7	,	,	PUNCT
cana-3844	666	8	k.	k.	PROPN
cana-3844	666	9	k.	k.	PROPN
cana-3844	667	1	oh	oh	INTJ
cana-3844	667	2	,	,	PUNCT
cana-3844	667	3	and	and	CCONJ
cana-3844	667	4	y.	y.	PROPN
cana-3844	667	5	s.	s.	PROPN
cana-3844	667	6	kim	kim	PROPN
cana-3844	667	7	,	,	PUNCT
cana-3844	667	8	“	"	PUNCT
cana-3844	667	9	optimization	optimization	NOUN
cana-3844	667	10	of	of	ADP
cana-3844	667	11	the	the	DET
cana-3844	667	12	influential	influential	ADJ
cana-3844	667	13	factors	factor	NOUN
cana-3844	667	14	for	for	ADP
cana-3844	667	15	the	the	DET
cana-3844	667	16	improvement	improvement	NOUN
cana-3844	667	17	of	of	ADP
cana-3844	667	18	co2	co2	NOUN
cana-3844	667	19	utilization	utilization	NOUN
cana-3844	667	20	efficiency	efficiency	NOUN
cana-3844	667	21	and	and	CCONJ
cana-3844	667	22	co2	co2	NOUN
cana-3844	667	23	mass	mass	NOUN
cana-3844	667	24	transfer	transfer	NOUN
cana-3844	667	25	rate	rate	NOUN
cana-3844	667	26	,	,	PUNCT
cana-3844	667	27	”	"	PUNCT
cana-3844	667	28	journal	journal	NOUN
cana-3844	667	29	of	of	ADP
cana-3844	667	30	industrial	industrial	ADJ
cana-3844	667	31	and	and	CCONJ
cana-3844	667	32	engineering	engineering	NOUN
cana-3844	667	33	chemistry	chemistry	NOUN
cana-3844	667	34	,	,	PUNCT
cana-3844	667	35	vol	vol	NOUN
cana-3844	667	36	.	.	PROPN
cana-3844	667	37	15	15	NUM
cana-3844	667	38	,	,	PUNCT
cana-3844	667	39	no	no	INTJ
cana-3844	667	40	.	.	NOUN
cana-3844	667	41	4	4	NUM
cana-3844	667	42	,	,	PUNCT
cana-3844	667	43	pp	pp	ADJ
cana-3844	667	44	.	.	PUNCT
cana-3844	668	1	471–475	471–475	NUM
cana-3844	668	2	,	,	PUNCT
cana-3844	668	3	2009	2009	NUM
cana-3844	668	4	.	.	PUNCT
cana-3844	669	1	[	[	X
cana-3844	669	2	36	36	NUM
cana-3844	669	3	]	]	X
cana-3844	669	4	l.	l.	PROPN
cana-3844	669	5	guo	guo	PROPN
cana-3844	669	6	,	,	PUNCT
cana-3844	669	7	b.	b.	PROPN
cana-3844	669	8	zhao	zhao	PROPN
cana-3844	669	9	,	,	PUNCT
cana-3844	669	10	y.	y.	PROPN
cana-3844	669	11	jia	jia	PROPN
cana-3844	669	12	,	,	PUNCT
cana-3844	669	13	f.	f.	PROPN
cana-3844	669	14	he	he	PRON
cana-3844	669	15	,	,	PUNCT
cana-3844	669	16	and	and	CCONJ
cana-3844	669	17	w.	w.	PROPN
cana-3844	669	18	chen	chen	PROPN
cana-3844	669	19	,	,	PUNCT
cana-3844	669	20	“	"	PUNCT
cana-3844	669	21	mitigation	mitigation	NOUN
cana-3844	669	22	strategies	strategy	NOUN
cana-3844	669	23	of	of	ADP
cana-3844	669	24	air	air	NOUN
cana-3844	669	25	pollutants	pollutant	NOUN
cana-3844	669	26	for	for	ADP
cana-3844	669	27	mechanical	mechanical	ADJ
cana-3844	669	28	ventilated	ventilate	VERB
cana-3844	669	29	livestock	livestock	NOUN
cana-3844	669	30	and	and	CCONJ
cana-3844	669	31	poultry	poultry	NOUN
cana-3844	669	32	housing	housing	NOUN
cana-3844	669	33	a	a	DET
cana-3844	669	34	review	review	NOUN
cana-3844	669	35	,	,	PUNCT
cana-3844	669	36	”	"	PUNCT
cana-3844	669	37	atmosphere	atmosphere	NOUN
cana-3844	669	38	,	,	PUNCT
cana-3844	669	39	vol	vol	NOUN
cana-3844	669	40	.	.	PROPN
cana-3844	669	41	13	13	NUM
cana-3844	669	42	,	,	PUNCT
cana-3844	669	43	no	no	INTJ
cana-3844	669	44	.	.	NOUN
cana-3844	669	45	3	3	NUM
cana-3844	669	46	,	,	PUNCT
cana-3844	669	47	p.	p.	NOUN
cana-3844	669	48	452	452	NUM
cana-3844	669	49	,	,	PUNCT
cana-3844	669	50	2022	2022	NUM
cana-3844	669	51	.	.	PUNCT
cana-3844	670	1	[	[	X
cana-3844	670	2	37	37	NUM
cana-3844	670	3	]	]	PUNCT
cana-3844	670	4	s.	s.	PROPN
cana-3844	670	5	ume	ume	PROPN
cana-3844	670	6	,	,	PUNCT
cana-3844	670	7	e.	e.	PROPN
cana-3844	670	8	uloh	uloh	PROPN
cana-3844	670	9	,	,	PUNCT
cana-3844	670	10	a.	a.	NOUN
cana-3844	670	11	onyeke	onyeke	NOUN
cana-3844	670	12	,	,	PUNCT
cana-3844	670	13	and	and	CCONJ
cana-3844	670	14	d.	d.	PROPN
cana-3844	670	15	nwose	nwose	PROPN
cana-3844	670	16	,	,	PUNCT
cana-3844	670	17	“	"	PUNCT
cana-3844	670	18	evaluation	evaluation	NOUN
cana-3844	670	19	of	of	ADP
cana-3844	670	20	effect	effect	NOUN
cana-3844	670	21	of	of	ADP
cana-3844	670	22	pig	pig	NOUN
cana-3844	670	23	production	production	NOUN
cana-3844	670	24	to	to	ADP
cana-3844	670	25	the	the	DET
cana-3844	670	26	environment	environment	NOUN
cana-3844	670	27	in	in	ADP
cana-3844	670	28	enugu	enugu	PROPN
cana-3844	670	29	state	state	PROPN
cana-3844	670	30	,	,	PUNCT
cana-3844	670	31	nigeria	nigeria	PROPN
cana-3844	670	32	.	.	PUNCT
cana-3844	670	33	,	,	PUNCT
cana-3844	670	34	”	"	PUNCT
cana-3844	670	35	sustainability	sustainability	NOUN
cana-3844	670	36	,	,	PUNCT
cana-3844	670	37	agri	agri	NOUN
cana-3844	670	38	,	,	PUNCT
cana-3844	670	39	food	food	NOUN
cana-3844	670	40	and	and	CCONJ
cana-3844	670	41	environmental	environmental	ADJ
cana-3844	670	42	researchdiscontinued	researchdiscontinue	VERB
cana-3844	670	43	,	,	PUNCT
cana-3844	670	44	vol	vol	NOUN
cana-3844	670	45	.	.	PROPN
cana-3844	670	46	12	12	NUM
cana-3844	670	47	,	,	PUNCT
cana-3844	670	48	no	no	INTJ
cana-3844	670	49	.	.	NOUN
cana-3844	670	50	1	1	NUM
cana-3844	670	51	,	,	PUNCT
cana-3844	670	52	2023	2023	NUM
cana-3844	670	53	.	.	PUNCT