id	sid	tid	token	lemma	pos
cana-3857	1	1	communications	communication	NOUN
cana-3857	1	2	on	on	ADP
cana-3857	1	3	applied	apply	VERB
cana-3857	1	4	nonlinear	nonlinear	ADJ
cana-3857	1	5	analysis	analysis	NOUN
cana-3857	1	6	issn	issn	NOUN
cana-3857	1	7	:	:	PUNCT
cana-3857	1	8	1074	1074	NUM
cana-3857	1	9	-	-	PUNCT
cana-3857	1	10	133x	133x	NUM
cana-3857	1	11	vol	vol	NOUN
cana-3857	1	12	32	32	NUM
cana-3857	1	13	no	no	NOUN
cana-3857	1	14	.	.	PUNCT
cana-3857	2	1	9s	9s	NUM
cana-3857	2	2	(	(	PUNCT
cana-3857	2	3	2025	2025	NUM
cana-3857	2	4	)	)	PUNCT
cana-3857	2	5	298	298	NUM
cana-3857	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	2	7	solving	solve	VERB
cana-3857	2	8	the	the	DET
cana-3857	2	9	type	type	NOUN
cana-3857	2	10	2	2	NUM
cana-3857	2	11	trapezoidal	trapezoidal	NOUN
cana-3857	2	12	intuitionistic	intuitionistic	ADJ
cana-3857	2	13	fuzzy	fuzzy	ADJ
cana-3857	2	14	fractional	fractional	ADJ
cana-3857	2	15	transportation	transportation	NOUN
cana-3857	2	16	problem	problem	NOUN
cana-3857	2	17	using	use	VERB
cana-3857	2	18	the	the	DET
cana-3857	2	19	diagonal	diagonal	ADJ
cana-3857	2	20	optimal	optimal	ADJ
cana-3857	2	21	approach	approach	NOUN
cana-3857	2	22	1k	1k	NOUN
cana-3857	2	23	.	.	PUNCT
cana-3857	3	1	senbagam	senbagam	PROPN
cana-3857	3	2	,	,	PUNCT
cana-3857	3	3	2s	2s	PROPN
cana-3857	3	4	.	.	PUNCT
cana-3857	3	5	divya	divya	PROPN
cana-3857	3	6	1department	1department	NUM
cana-3857	3	7	of	of	ADP
cana-3857	3	8	mathematics	mathematic	NOUN
cana-3857	3	9	,	,	PUNCT
cana-3857	3	10	psg	psg	PROPN
cana-3857	3	11	college	college	PROPN
cana-3857	3	12	of	of	ADP
cana-3857	3	13	arts	art	NOUN
cana-3857	3	14	and	and	CCONJ
cana-3857	3	15	science	science	NOUN
cana-3857	3	16	,	,	PUNCT
cana-3857	3	17	coimbatore	coimbatore	PROPN
cana-3857	3	18	,	,	PUNCT
cana-3857	3	19	india	india	PROPN
cana-3857	3	20	.	.	PUNCT
cana-3857	4	1	senbagam@psgcas.ac.in	senbagam@psgcas.ac.in	ADJ
cana-3857	4	2	2department	2department	NUM
cana-3857	4	3	of	of	ADP
cana-3857	4	4	mathematics	mathematic	NOUN
cana-3857	4	5	,	,	PUNCT
cana-3857	4	6	psg	psg	PROPN
cana-3857	4	7	college	college	PROPN
cana-3857	4	8	of	of	ADP
cana-3857	4	9	arts	art	NOUN
cana-3857	4	10	and	and	CCONJ
cana-3857	4	11	science	science	NOUN
cana-3857	4	12	,	,	PUNCT
cana-3857	4	13	coimbatore	coimbatore	PROPN
cana-3857	4	14	,	,	PUNCT
cana-3857	4	15	india	india	PROPN
cana-3857	4	16	.	.	PUNCT
cana-3857	5	1	divyaspsgcas@gmail.com	divyaspsgcas@gmail.com	X
cana-3857	5	2	article	article	NOUN
cana-3857	5	3	history	history	NOUN
cana-3857	5	4	:	:	PUNCT
cana-3857	5	5	received	receive	VERB
cana-3857	5	6	:	:	PUNCT
cana-3857	5	7	14	14	NUM
cana-3857	5	8	-	-	SYM
cana-3857	5	9	11	11	NUM
cana-3857	5	10	-	-	PUNCT
cana-3857	5	11	2024	2024	NUM
cana-3857	5	12	revised:26	revised:26	PROPN
cana-3857	5	13	-	-	PUNCT
cana-3857	5	14	12	12	NUM
cana-3857	5	15	-	-	PUNCT
cana-3857	5	16	2024	2024	NUM
cana-3857	5	17	accepted:10	accepted:10	PROPN
cana-3857	5	18	-	-	PUNCT
cana-3857	5	19	01	01	NUM
cana-3857	5	20	-	-	PUNCT
cana-3857	5	21	2025	2025	NUM
cana-3857	5	22	abstract	abstract	NOUN
cana-3857	5	23	:	:	PUNCT
cana-3857	5	24	this	this	DET
cana-3857	5	25	research	research	NOUN
cana-3857	5	26	develops	develop	VERB
cana-3857	5	27	a	a	DET
cana-3857	5	28	diagonal	diagonal	ADJ
cana-3857	5	29	optimal	optimal	ADJ
cana-3857	5	30	technique	technique	NOUN
cana-3857	5	31	for	for	ADP
cana-3857	5	32	solving	solve	VERB
cana-3857	5	33	the	the	DET
cana-3857	5	34	type	type	NOUN
cana-3857	5	35	2	2	NUM
cana-3857	5	36	trapezoidal	trapezoidal	NOUN
cana-3857	5	37	intuitionistic	intuitionistic	ADJ
cana-3857	5	38	fuzzy	fuzzy	ADJ
cana-3857	5	39	fractional	fractional	ADJ
cana-3857	5	40	transportation	transportation	NOUN
cana-3857	5	41	problem	problem	NOUN
cana-3857	5	42	(	(	PUNCT
cana-3857	5	43	t2tifftp	t2tifftp	NOUN
cana-3857	5	44	)	)	PUNCT
cana-3857	5	45	,	,	PUNCT
cana-3857	5	46	aiming	aim	VERB
cana-3857	5	47	to	to	PART
cana-3857	5	48	minimize	minimize	VERB
cana-3857	5	49	transportation	transportation	NOUN
cana-3857	5	50	costs	cost	NOUN
cana-3857	5	51	within	within	ADP
cana-3857	5	52	an	an	DET
cana-3857	5	53	optimal	optimal	ADJ
cana-3857	5	54	solution	solution	NOUN
cana-3857	5	55	framework	framework	NOUN
cana-3857	5	56	.	.	PUNCT
cana-3857	6	1	by	by	ADP
cana-3857	6	2	incorporating	incorporate	VERB
cana-3857	6	3	the	the	DET
cana-3857	6	4	intuitionistic	intuitionistic	ADJ
cana-3857	6	5	fuzzy	fuzzy	ADJ
cana-3857	6	6	fractional	fractional	ADJ
cana-3857	6	7	approach	approach	NOUN
cana-3857	6	8	,	,	PUNCT
cana-3857	6	9	the	the	DET
cana-3857	6	10	method	method	NOUN
cana-3857	6	11	effectively	effectively	ADV
cana-3857	6	12	addresses	address	VERB
cana-3857	6	13	the	the	DET
cana-3857	6	14	uncertainty	uncertainty	NOUN
cana-3857	6	15	and	and	CCONJ
cana-3857	6	16	imprecision	imprecision	NOUN
cana-3857	6	17	commonly	commonly	ADV
cana-3857	6	18	encountered	encounter	VERB
cana-3857	6	19	in	in	ADP
cana-3857	6	20	real	real	ADJ
cana-3857	6	21	-	-	PUNCT
cana-3857	6	22	world	world	NOUN
cana-3857	6	23	transportation	transportation	NOUN
cana-3857	6	24	scenarios	scenario	NOUN
cana-3857	6	25	.	.	PUNCT
cana-3857	7	1	numerical	numerical	ADJ
cana-3857	7	2	results	result	NOUN
cana-3857	7	3	demonstrate	demonstrate	VERB
cana-3857	7	4	the	the	DET
cana-3857	7	5	technique	technique	NOUN
cana-3857	7	6	’s	’s	PART
cana-3857	7	7	efficiency	efficiency	NOUN
cana-3857	7	8	and	and	CCONJ
cana-3857	7	9	effectiveness	effectiveness	NOUN
cana-3857	7	10	.	.	PUNCT
cana-3857	8	1	this	this	PRON
cana-3857	8	2	highlighting	highlight	VERB
cana-3857	8	3	its	its	PRON
cana-3857	8	4	potential	potential	NOUN
cana-3857	8	5	to	to	PART
cana-3857	8	6	significantly	significantly	ADV
cana-3857	8	7	enhance	enhance	VERB
cana-3857	8	8	the	the	DET
cana-3857	8	9	accuracy	accuracy	NOUN
cana-3857	8	10	and	and	CCONJ
cana-3857	8	11	quality	quality	NOUN
cana-3857	8	12	of	of	ADP
cana-3857	8	13	solutions	solution	NOUN
cana-3857	8	14	in	in	ADP
cana-3857	8	15	complex	complex	ADJ
cana-3857	8	16	transportation	transportation	NOUN
cana-3857	8	17	situations	situation	NOUN
cana-3857	8	18	.	.	PUNCT
cana-3857	9	1	the	the	DET
cana-3857	9	2	diagonal	diagonal	ADJ
cana-3857	9	3	optimal	optimal	ADJ
cana-3857	9	4	technique	technique	NOUN
cana-3857	9	5	provides	provide	VERB
cana-3857	9	6	a	a	DET
cana-3857	9	7	robust	robust	ADJ
cana-3857	9	8	framework	framework	NOUN
cana-3857	9	9	for	for	ADP
cana-3857	9	10	tackling	tackle	VERB
cana-3857	9	11	fuzzy	fuzzy	ADJ
cana-3857	9	12	transportation	transportation	NOUN
cana-3857	9	13	problems	problem	NOUN
cana-3857	9	14	,	,	PUNCT
cana-3857	9	15	paving	pave	VERB
cana-3857	9	16	the	the	DET
cana-3857	9	17	way	way	NOUN
cana-3857	9	18	for	for	ADP
cana-3857	9	19	more	more	ADV
cana-3857	9	20	reliable	reliable	ADJ
cana-3857	9	21	and	and	CCONJ
cana-3857	9	22	cost	cost	NOUN
cana-3857	9	23	-	-	PUNCT
cana-3857	9	24	efficient	efficient	ADJ
cana-3857	9	25	decision	decision	NOUN
cana-3857	9	26	-	-	PUNCT
cana-3857	9	27	making	making	NOUN
cana-3857	9	28	in	in	ADP
cana-3857	9	29	uncertain	uncertain	ADJ
cana-3857	9	30	environments	environment	NOUN
cana-3857	9	31	.	.	PUNCT
cana-3857	10	1	keywords	keyword	NOUN
cana-3857	10	2	:	:	PUNCT
cana-3857	10	3	fuzzy	fuzzy	ADJ
cana-3857	10	4	fractional	fractional	ADJ
cana-3857	10	5	transportation	transportation	NOUN
cana-3857	10	6	problem	problem	NOUN
cana-3857	10	7	,	,	PUNCT
cana-3857	10	8	trapezoidal	trapezoidal	ADJ
cana-3857	10	9	intuitionistic	intuitionistic	ADJ
cana-3857	10	10	fuzzy	fuzzy	ADJ
cana-3857	10	11	number	number	NOUN
cana-3857	10	12	,	,	PUNCT
cana-3857	10	13	diagonal	diagonal	ADJ
cana-3857	10	14	approach	approach	NOUN
cana-3857	10	15	,	,	PUNCT
cana-3857	10	16	optimal	optimal	ADJ
cana-3857	10	17	solution	solution	NOUN
cana-3857	10	18	.	.	PUNCT
cana-3857	11	1	1	1	X
cana-3857	11	2	.	.	X
cana-3857	11	3	introduction	introduction	NOUN
cana-3857	11	4	the	the	DET
cana-3857	11	5	field	field	NOUN
cana-3857	11	6	of	of	ADP
cana-3857	11	7	operations	operation	NOUN
cana-3857	11	8	research	research	NOUN
cana-3857	11	9	(	(	PUNCT
cana-3857	11	10	or	or	CCONJ
cana-3857	11	11	)	)	PUNCT
cana-3857	11	12	uses	use	VERB
cana-3857	11	13	advanced	advanced	ADJ
cana-3857	11	14	analytical	analytical	ADJ
cana-3857	11	15	methods	method	NOUN
cana-3857	11	16	to	to	PART
cana-3857	11	17	improve	improve	VERB
cana-3857	11	18	efficiency	efficiency	NOUN
cana-3857	11	19	in	in	ADP
cana-3857	11	20	decision	decision	NOUN
cana-3857	11	21	-	-	PUNCT
cana-3857	11	22	making	making	NOUN
cana-3857	11	23	.	.	PUNCT
cana-3857	12	1	it	it	PRON
cana-3857	12	2	utilizes	utilize	VERB
cana-3857	12	3	tools	tool	NOUN
cana-3857	12	4	from	from	ADP
cana-3857	12	5	computer	computer	NOUN
cana-3857	12	6	science	science	NOUN
cana-3857	12	7	,	,	PUNCT
cana-3857	12	8	statistics	statistic	NOUN
cana-3857	12	9	,	,	PUNCT
cana-3857	12	10	and	and	CCONJ
cana-3857	12	11	mathematics	mathematic	NOUN
cana-3857	12	12	to	to	PART
cana-3857	12	13	resolve	resolve	VERB
cana-3857	12	14	complicated	complicated	ADJ
cana-3857	12	15	problems	problem	NOUN
cana-3857	12	16	across	across	ADP
cana-3857	12	17	a	a	DET
cana-3857	12	18	range	range	NOUN
cana-3857	12	19	of	of	ADP
cana-3857	12	20	sectors	sector	NOUN
cana-3857	12	21	,	,	PUNCT
cana-3857	12	22	including	include	VERB
cana-3857	12	23	manufacturing	manufacturing	NOUN
cana-3857	12	24	,	,	PUNCT
cana-3857	12	25	banking	banking	NOUN
cana-3857	12	26	,	,	PUNCT
cana-3857	12	27	logistics	logistic	NOUN
cana-3857	12	28	,	,	PUNCT
cana-3857	12	29	and	and	CCONJ
cana-3857	12	30	healthcare	healthcare	PROPN
cana-3857	12	31	.	.	PUNCT
cana-3857	13	1	determining	determine	VERB
cana-3857	13	2	the	the	DET
cana-3857	13	3	most	most	ADV
cana-3857	13	4	economical	economical	ADJ
cana-3857	13	5	way	way	NOUN
cana-3857	13	6	to	to	PART
cana-3857	13	7	get	get	VERB
cana-3857	13	8	goods	good	NOUN
cana-3857	13	9	from	from	ADP
cana-3857	13	10	a	a	DET
cana-3857	13	11	group	group	NOUN
cana-3857	13	12	of	of	ADP
cana-3857	13	13	suppliers	supplier	NOUN
cana-3857	13	14	to	to	ADP
cana-3857	13	15	a	a	DET
cana-3857	13	16	group	group	NOUN
cana-3857	13	17	of	of	ADP
cana-3857	13	18	customers	customer	NOUN
cana-3857	13	19	is	be	AUX
cana-3857	13	20	the	the	DET
cana-3857	13	21	aim	aim	NOUN
cana-3857	13	22	of	of	ADP
cana-3857	13	23	the	the	DET
cana-3857	13	24	transportation	transportation	NOUN
cana-3857	13	25	problem	problem	NOUN
cana-3857	13	26	,	,	PUNCT
cana-3857	13	27	a	a	DET
cana-3857	13	28	type	type	NOUN
cana-3857	13	29	of	of	ADP
cana-3857	13	30	optimization	optimization	NOUN
cana-3857	13	31	problem	problem	NOUN
cana-3857	13	32	in	in	ADP
cana-3857	13	33	or	or	CCONJ
cana-3857	13	34	.	.	PUNCT
cana-3857	14	1	the	the	DET
cana-3857	14	2	goal	goal	NOUN
cana-3857	14	3	is	be	AUX
cana-3857	14	4	to	to	PART
cana-3857	14	5	meet	meet	VERB
cana-3857	14	6	supply	supply	NOUN
cana-3857	14	7	and	and	CCONJ
cana-3857	14	8	demand	demand	NOUN
cana-3857	14	9	constraints	constraint	NOUN
cana-3857	14	10	while	while	SCONJ
cana-3857	14	11	minimizing	minimize	VERB
cana-3857	14	12	the	the	DET
cana-3857	14	13	overall	overall	ADJ
cana-3857	14	14	cost	cost	NOUN
cana-3857	14	15	of	of	ADP
cana-3857	14	16	transportation	transportation	NOUN
cana-3857	14	17	.	.	PUNCT
cana-3857	15	1	a	a	DET
cana-3857	15	2	generalization	generalization	NOUN
cana-3857	15	3	of	of	ADP
cana-3857	15	4	classical	classical	ADJ
cana-3857	15	5	fuzzy	fuzzy	ADJ
cana-3857	15	6	sets	set	NOUN
cana-3857	15	7	,	,	PUNCT
cana-3857	15	8	intuitionistic	intuitionistic	ADJ
cana-3857	15	9	fuzzy	fuzzy	ADJ
cana-3857	15	10	sets	set	NOUN
cana-3857	15	11	(	(	PUNCT
cana-3857	15	12	ifs	ifs	PROPN
cana-3857	15	13	)	)	PUNCT
cana-3857	15	14	are	be	AUX
cana-3857	15	15	designed	design	VERB
cana-3857	15	16	to	to	PART
cana-3857	15	17	address	address	VERB
cana-3857	15	18	scenarios	scenario	NOUN
cana-3857	15	19	in	in	ADP
cana-3857	15	20	which	which	PRON
cana-3857	15	21	there	there	PRON
cana-3857	15	22	is	be	VERB
cana-3857	15	23	a	a	DET
cana-3857	15	24	great	great	ADJ
cana-3857	15	25	deal	deal	NOUN
cana-3857	15	26	of	of	ADP
cana-3857	15	27	uncertainty	uncertainty	NOUN
cana-3857	15	28	and	and	CCONJ
cana-3857	15	29	hesitation	hesitation	NOUN
cana-3857	15	30	about	about	ADP
cana-3857	15	31	establishing	establish	VERB
cana-3857	15	32	membership	membership	NOUN
cana-3857	15	33	and	and	CCONJ
cana-3857	15	34	non	non	ADJ
cana-3857	15	35	-	-	ADJ
cana-3857	15	36	membership	membership	ADJ
cana-3857	15	37	degrees	degree	NOUN
cana-3857	15	38	.	.	PUNCT
cana-3857	16	1	an	an	DET
cana-3857	16	2	expansion	expansion	NOUN
cana-3857	16	3	of	of	ADP
cana-3857	16	4	the	the	DET
cana-3857	16	5	basic	basic	ADJ
cana-3857	16	6	transportation	transportation	NOUN
cana-3857	16	7	problem	problem	NOUN
cana-3857	16	8	,	,	PUNCT
cana-3857	16	9	the	the	DET
cana-3857	16	10	trapezoidal	trapezoidal	ADJ
cana-3857	16	11	intuitionistic	intuitionistic	ADJ
cana-3857	16	12	fuzzy	fuzzy	ADJ
cana-3857	16	13	fractional	fractional	ADJ
cana-3857	16	14	transportation	transportation	NOUN
cana-3857	16	15	problem	problem	NOUN
cana-3857	16	16	(	(	PUNCT
cana-3857	16	17	tifftp	tifftp	ADJ
cana-3857	16	18	)	)	PUNCT
cana-3857	16	19	involves	involve	VERB
cana-3857	16	20	representing	represent	VERB
cana-3857	16	21	the	the	DET
cana-3857	16	22	parameters	parameter	NOUN
cana-3857	16	23	(	(	PUNCT
cana-3857	16	24	supply	supply	NOUN
cana-3857	16	25	and	and	CCONJ
cana-3857	16	26	demand	demand	NOUN
cana-3857	16	27	)	)	PUNCT
cana-3857	16	28	as	as	ADP
cana-3857	16	29	trapezoidal	trapezoidal	ADJ
cana-3857	16	30	intuitionistic	intuitionistic	ADJ
cana-3857	16	31	fuzzy	fuzzy	ADJ
cana-3857	16	32	numbers	number	NOUN
cana-3857	16	33	(	(	PUNCT
cana-3857	16	34	tifns	tifns	NOUN
cana-3857	16	35	)	)	PUNCT
cana-3857	16	36	.	.	PUNCT
cana-3857	17	1	by	by	ADP
cana-3857	17	2	addressing	address	VERB
cana-3857	17	3	ambiguity	ambiguity	NOUN
cana-3857	17	4	and	and	CCONJ
cana-3857	17	5	uncertainty	uncertainty	NOUN
cana-3857	17	6	more	more	ADV
cana-3857	17	7	skillfully	skillfully	ADV
cana-3857	17	8	,	,	PUNCT
cana-3857	17	9	this	this	DET
cana-3857	17	10	method	method	NOUN
cana-3857	17	11	offers	offer	VERB
cana-3857	17	12	a	a	DET
cana-3857	17	13	more	more	ADV
cana-3857	17	14	adaptable	adaptable	ADJ
cana-3857	17	15	and	and	CCONJ
cana-3857	17	16	accurate	accurate	ADJ
cana-3857	17	17	model	model	NOUN
cana-3857	17	18	for	for	ADP
cana-3857	17	19	transportationrelated	transportationrelate	VERB
cana-3857	17	20	problems	problem	NOUN
cana-3857	17	21	.	.	PUNCT
cana-3857	18	1	by	by	ADP
cana-3857	18	2	adding	add	VERB
cana-3857	18	3	type	type	NOUN
cana-3857	18	4	2	2	NUM
cana-3857	18	5	intuitionistic	intuitionistic	ADJ
cana-3857	18	6	fuzzy	fuzzy	ADJ
cana-3857	18	7	sets	set	NOUN
cana-3857	18	8	and	and	CCONJ
cana-3857	18	9	fractional	fractional	ADJ
cana-3857	18	10	programming	programming	NOUN
cana-3857	18	11	to	to	ADP
cana-3857	18	12	the	the	DET
cana-3857	18	13	classical	classical	ADJ
cana-3857	18	14	transportation	transportation	NOUN
cana-3857	18	15	problem	problem	NOUN
cana-3857	18	16	,	,	PUNCT
cana-3857	18	17	an	an	DET
cana-3857	18	18	advanced	advanced	ADJ
cana-3857	18	19	mathematical	mathematical	ADJ
cana-3857	18	20	model	model	NOUN
cana-3857	18	21	known	know	VERB
cana-3857	18	22	as	as	ADP
cana-3857	18	23	the	the	DET
cana-3857	18	24	type	type	NOUN
cana-3857	18	25	2	2	NUM
cana-3857	18	26	intuitionistic	intuitionistic	ADJ
cana-3857	18	27	fuzzy	fuzzy	ADJ
cana-3857	18	28	fractional	fractional	ADJ
cana-3857	18	29	transportation	transportation	NOUN
cana-3857	18	30	problem	problem	NOUN
cana-3857	18	31	(	(	PUNCT
cana-3857	18	32	t2ifftp	t2ifftp	NOUN
cana-3857	18	33	)	)	PUNCT
cana-3857	18	34	is	be	AUX
cana-3857	18	35	created	create	VERB
cana-3857	18	36	.	.	PUNCT
cana-3857	19	1	when	when	SCONJ
cana-3857	19	2	there	there	PRON
cana-3857	19	3	is	be	VERB
cana-3857	19	4	a	a	DET
cana-3857	19	5	lot	lot	NOUN
cana-3857	19	6	of	of	ADP
cana-3857	19	7	ambiguity	ambiguity	NOUN
cana-3857	19	8	and	and	CCONJ
cana-3857	19	9	uncertainty	uncertainty	NOUN
cana-3857	19	10	in	in	ADP
cana-3857	19	11	the	the	DET
cana-3857	19	12	decision	decision	NOUN
cana-3857	19	13	-	-	PUNCT
cana-3857	19	14	making	make	VERB
cana-3857	19	15	process	process	NOUN
cana-3857	19	16	,	,	PUNCT
cana-3857	19	17	this	this	DET
cana-3857	19	18	approach	approach	NOUN
cana-3857	19	19	is	be	AUX
cana-3857	19	20	especially	especially	ADV
cana-3857	19	21	efficient	efficient	ADJ
cana-3857	19	22	.	.	PUNCT
cana-3857	20	1	the	the	DET
cana-3857	20	2	structure	structure	NOUN
cana-3857	20	3	of	of	ADP
cana-3857	20	4	this	this	DET
cana-3857	20	5	paper	paper	NOUN
cana-3857	20	6	is	be	AUX
cana-3857	20	7	as	as	SCONJ
cana-3857	20	8	follows	follow	VERB
cana-3857	20	9	:	:	PUNCT
cana-3857	20	10	section	section	NOUN
cana-3857	20	11	2	2	NUM
cana-3857	20	12	addresses	address	NOUN
cana-3857	20	13	the	the	DET
cana-3857	20	14	literature	literature	NOUN
cana-3857	20	15	review	review	NOUN
cana-3857	20	16	of	of	ADP
cana-3857	20	17	the	the	DET
cana-3857	20	18	presented	present	VERB
cana-3857	20	19	problem	problem	NOUN
cana-3857	20	20	.	.	PUNCT
cana-3857	21	1	the	the	DET
cana-3857	21	2	paper	paper	NOUN
cana-3857	21	3	’s	’s	PART
cana-3857	21	4	preliminary	preliminary	ADJ
cana-3857	21	5	context	context	NOUN
cana-3857	21	6	is	be	AUX
cana-3857	21	7	provided	provide	VERB
cana-3857	21	8	in	in	ADP
cana-3857	21	9	section	section	NOUN
cana-3857	21	10	3	3	NUM
cana-3857	21	11	.	.	PUNCT
cana-3857	22	1	the	the	DET
cana-3857	22	2	problem	problem	NOUN
cana-3857	22	3	communications	communication	NOUN
cana-3857	22	4	on	on	ADP
cana-3857	22	5	applied	apply	VERB
cana-3857	22	6	nonlinear	nonlinear	ADJ
cana-3857	22	7	analysis	analysis	NOUN
cana-3857	22	8	issn	issn	NOUN
cana-3857	22	9	:	:	PUNCT
cana-3857	22	10	1074	1074	NUM
cana-3857	22	11	-	-	PUNCT
cana-3857	22	12	133x	133x	NUM
cana-3857	22	13	vol	vol	NOUN
cana-3857	22	14	32	32	NUM
cana-3857	22	15	no	no	NOUN
cana-3857	22	16	.	.	PUNCT
cana-3857	23	1	9s	9s	NUM
cana-3857	23	2	(	(	PUNCT
cana-3857	23	3	2025	2025	NUM
cana-3857	23	4	)	)	PUNCT
cana-3857	23	5	299	299	NUM
cana-3857	23	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	23	7	with	with	ADP
cana-3857	23	8	formulation	formulation	NOUN
cana-3857	23	9	and	and	CCONJ
cana-3857	23	10	the	the	DET
cana-3857	23	11	several	several	ADJ
cana-3857	23	12	stages	stage	NOUN
cana-3857	23	13	used	use	VERB
cana-3857	23	14	in	in	ADP
cana-3857	23	15	the	the	DET
cana-3857	23	16	proposed	propose	VERB
cana-3857	23	17	approach	approach	NOUN
cana-3857	23	18	are	be	AUX
cana-3857	23	19	explained	explain	VERB
cana-3857	23	20	in	in	ADP
cana-3857	23	21	section	section	NOUN
cana-3857	23	22	4	4	NUM
cana-3857	23	23	.	.	PUNCT
cana-3857	24	1	the	the	DET
cana-3857	24	2	optimal	optimal	ADJ
cana-3857	24	3	solution	solution	NOUN
cana-3857	24	4	for	for	ADP
cana-3857	24	5	the	the	DET
cana-3857	24	6	t2tifftp	t2tifftp	NOUN
cana-3857	24	7	can	can	AUX
cana-3857	24	8	be	be	AUX
cana-3857	24	9	obtained	obtain	VERB
cana-3857	24	10	by	by	ADP
cana-3857	24	11	solving	solve	VERB
cana-3857	24	12	the	the	DET
cana-3857	24	13	illustrative	illustrative	ADJ
cana-3857	24	14	example	example	NOUN
cana-3857	24	15	in	in	ADP
cana-3857	24	16	section	section	NOUN
cana-3857	24	17	5	5	NUM
cana-3857	24	18	.	.	PUNCT
cana-3857	25	1	results	result	NOUN
cana-3857	25	2	are	be	AUX
cana-3857	25	3	presented	present	VERB
cana-3857	25	4	in	in	ADP
cana-3857	25	5	section	section	NOUN
cana-3857	25	6	6	6	NUM
cana-3857	25	7	,	,	PUNCT
cana-3857	25	8	and	and	CCONJ
cana-3857	25	9	section	section	NOUN
cana-3857	25	10	7	7	NUM
cana-3857	25	11	concludes	conclude	VERB
cana-3857	25	12	.	.	PUNCT
cana-3857	26	1	2	2	X
cana-3857	26	2	.	.	X
cana-3857	26	3	literature	literature	NOUN
cana-3857	26	4	review	review	VERB
cana-3857	26	5	a	a	DET
cana-3857	26	6	survey	survey	NOUN
cana-3857	26	7	of	of	ADP
cana-3857	26	8	the	the	DET
cana-3857	26	9	literature	literature	NOUN
cana-3857	26	10	on	on	ADP
cana-3857	26	11	intuitionistic	intuitionistic	ADJ
cana-3857	26	12	fuzzy	fuzzy	ADJ
cana-3857	26	13	sets	set	NOUN
cana-3857	26	14	,	,	PUNCT
cana-3857	26	15	fractional	fractional	ADJ
cana-3857	26	16	programming	programming	NOUN
cana-3857	26	17	,	,	PUNCT
cana-3857	26	18	transportation	transportation	NOUN
cana-3857	26	19	problems	problem	NOUN
cana-3857	26	20	,	,	PUNCT
cana-3857	26	21	and	and	CCONJ
cana-3857	26	22	the	the	DET
cana-3857	26	23	interactions	interaction	NOUN
cana-3857	26	24	of	of	ADP
cana-3857	26	25	these	these	DET
cana-3857	26	26	topics	topic	NOUN
cana-3857	26	27	is	be	AUX
cana-3857	26	28	necessary	necessary	ADJ
cana-3857	26	29	to	to	PART
cana-3857	26	30	understand	understand	VERB
cana-3857	26	31	the	the	DET
cana-3857	26	32	t2ifftp	t2ifftp	PROPN
cana-3857	26	33	.	.	PUNCT
cana-3857	27	1	the	the	DET
cana-3857	27	2	following	follow	VERB
cana-3857	27	3	is	be	AUX
cana-3857	27	4	a	a	DET
cana-3857	27	5	formal	formal	ADJ
cana-3857	27	6	framework	framework	NOUN
cana-3857	27	7	for	for	ADP
cana-3857	27	8	this	this	DET
cana-3857	27	9	kind	kind	NOUN
cana-3857	27	10	of	of	ADP
cana-3857	27	11	literature	literature	PROPN
cana-3857	27	12	review	review	PROPN
cana-3857	27	13	.	.	PUNCT
cana-3857	28	1	hitchcock	hitchcock	PROPN
cana-3857	29	1	[	[	X
cana-3857	29	2	8	8	NUM
cana-3857	29	3	]	]	PUNCT
cana-3857	29	4	was	be	AUX
cana-3857	29	5	the	the	DET
cana-3857	29	6	one	one	NUM
cana-3857	29	7	who	who	PRON
cana-3857	29	8	initially	initially	ADV
cana-3857	29	9	came	come	VERB
cana-3857	29	10	up	up	ADP
cana-3857	29	11	with	with	ADP
cana-3857	29	12	the	the	DET
cana-3857	29	13	fundamental	fundamental	ADJ
cana-3857	29	14	transportation	transportation	NOUN
cana-3857	29	15	problem	problem	NOUN
cana-3857	29	16	.	.	PUNCT
cana-3857	30	1	zadeh	zadeh	NOUN
cana-3857	31	1	[	[	X
cana-3857	31	2	19	19	NUM
cana-3857	31	3	]	]	PUNCT
cana-3857	31	4	introduced	introduce	VERB
cana-3857	31	5	the	the	DET
cana-3857	31	6	fuzzy	fuzzy	ADJ
cana-3857	31	7	set	set	NOUN
cana-3857	31	8	,	,	PUNCT
cana-3857	31	9	which	which	PRON
cana-3857	31	10	has	have	AUX
cana-3857	31	11	been	be	AUX
cana-3857	31	12	described	describe	VERB
cana-3857	31	13	by	by	ADP
cana-3857	31	14	membership	membership	NOUN
cana-3857	31	15	degree	degree	NOUN
cana-3857	31	16	.	.	PUNCT
cana-3857	32	1	atanassov	atanassov	PROPN
cana-3857	33	1	[	[	X
cana-3857	33	2	3	3	NUM
cana-3857	33	3	]	]	PUNCT
cana-3857	33	4	introduced	introduce	VERB
cana-3857	33	5	the	the	DET
cana-3857	33	6	ifs	ifs	PROPN
cana-3857	33	7	theory	theory	NOUN
cana-3857	33	8	in	in	ADP
cana-3857	33	9	1986	1986	NUM
cana-3857	33	10	to	to	PART
cana-3857	33	11	help	help	VERB
cana-3857	33	12	with	with	ADP
cana-3857	33	13	uncertainty	uncertainty	NOUN
cana-3857	33	14	and	and	CCONJ
cana-3857	33	15	hesitation	hesitation	NOUN
cana-3857	33	16	.	.	PUNCT
cana-3857	34	1	[	[	X
cana-3857	34	2	13	13	NUM
cana-3857	34	3	]	]	PUNCT
cana-3857	34	4	formulated	formulate	VERB
cana-3857	34	5	a	a	DET
cana-3857	34	6	transportation	transportation	NOUN
cana-3857	34	7	problem	problem	NOUN
cana-3857	34	8	where	where	SCONJ
cana-3857	34	9	the	the	DET
cana-3857	34	10	real	real	ADJ
cana-3857	34	11	,	,	PUNCT
cana-3857	34	12	fuzzy	fuzzy	ADJ
cana-3857	34	13	,	,	PUNCT
cana-3857	34	14	and	and	CCONJ
cana-3857	34	15	intuitionistic	intuitionistic	ADJ
cana-3857	34	16	fuzzy	fuzzy	ADJ
cana-3857	34	17	numbers	number	NOUN
cana-3857	34	18	represent	represent	VERB
cana-3857	34	19	the	the	DET
cana-3857	34	20	costs	cost	NOUN
cana-3857	34	21	,	,	PUNCT
cana-3857	34	22	supply	supply	NOUN
cana-3857	34	23	,	,	PUNCT
cana-3857	34	24	and	and	CCONJ
cana-3857	34	25	demands	demand	NOUN
cana-3857	34	26	,	,	PUNCT
cana-3857	34	27	respectively	respectively	ADV
cana-3857	34	28	.	.	PUNCT
cana-3857	35	1	in	in	ADP
cana-3857	35	2	2012	2012	NUM
cana-3857	35	3	,	,	PUNCT
cana-3857	35	4	kumar	kumar	PROPN
cana-3857	35	5	and	and	CCONJ
cana-3857	35	6	hussain	hussain	PROPN
cana-3857	35	7	[	[	X
cana-3857	35	8	9	9	NUM
cana-3857	35	9	]	]	PUNCT
cana-3857	35	10	introduced	introduce	VERB
cana-3857	35	11	a	a	DET
cana-3857	35	12	method	method	NOUN
cana-3857	35	13	for	for	ADP
cana-3857	35	14	resolving	resolve	VERB
cana-3857	35	15	the	the	DET
cana-3857	35	16	intuitionistic	intuitionistic	ADJ
cana-3857	35	17	fuzzy	fuzzy	ADJ
cana-3857	35	18	transportation	transportation	NOUN
cana-3857	35	19	problem	problem	NOUN
cana-3857	35	20	(	(	PUNCT
cana-3857	35	21	iftp	iftp	NOUN
cana-3857	35	22	)	)	PUNCT
cana-3857	35	23	.	.	PUNCT
cana-3857	36	1	the	the	DET
cana-3857	36	2	triangular	triangular	NOUN
cana-3857	36	3	intuitionistic	intuitionistic	ADJ
cana-3857	36	4	fuzzy	fuzzy	ADJ
cana-3857	36	5	numbers	number	NOUN
cana-3857	36	6	have	have	AUX
cana-3857	36	7	been	be	AUX
cana-3857	36	8	ordered	order	VERB
cana-3857	36	9	using	use	VERB
cana-3857	36	10	a	a	DET
cana-3857	36	11	suggested	suggest	VERB
cana-3857	36	12	accuracy	accuracy	NOUN
cana-3857	36	13	function	function	NOUN
cana-3857	36	14	by	by	ADP
cana-3857	36	15	singh	singh	PROPN
cana-3857	36	16	and	and	CCONJ
cana-3857	36	17	yadav	yadav	PROPN
cana-3857	37	1	[	[	X
cana-3857	37	2	17	17	NUM
cana-3857	37	3	]	]	PUNCT
cana-3857	37	4	,	,	PUNCT
cana-3857	37	5	and	and	CCONJ
cana-3857	37	6	this	this	DET
cana-3857	37	7	work	work	NOUN
cana-3857	37	8	has	have	AUX
cana-3857	37	9	been	be	AUX
cana-3857	37	10	extended	extend	VERB
cana-3857	37	11	to	to	ADP
cana-3857	37	12	an	an	DET
cana-3857	37	13	iftp	iftp	NOUN
cana-3857	37	14	of	of	ADP
cana-3857	37	15	type	type	NOUN
cana-3857	37	16	2	2	NUM
cana-3857	37	17	.	.	PUNCT
cana-3857	38	1	researchers	researcher	NOUN
cana-3857	38	2	shukla	shukla	VERB
cana-3857	39	1	[	[	X
cana-3857	39	2	16	16	NUM
cana-3857	39	3	]	]	PUNCT
cana-3857	39	4	,	,	PUNCT
cana-3857	39	5	taghikhani	taghikhani	PROPN
cana-3857	40	1	[	[	X
cana-3857	40	2	18	18	NUM
cana-3857	40	3	]	]	PUNCT
cana-3857	40	4	,	,	PUNCT
cana-3857	40	5	and	and	CCONJ
cana-3857	40	6	fu	fu	NOUN
cana-3857	41	1	[	[	X
cana-3857	41	2	6	6	NUM
cana-3857	41	3	]	]	PUNCT
cana-3857	41	4	have	have	AUX
cana-3857	41	5	all	all	PRON
cana-3857	41	6	examined	examine	VERB
cana-3857	41	7	various	various	ADJ
cana-3857	41	8	decision	decision	NOUN
cana-3857	41	9	-	-	PUNCT
cana-3857	41	10	making	make	VERB
cana-3857	41	11	problems	problem	NOUN
cana-3857	41	12	in	in	ADP
cana-3857	41	13	the	the	DET
cana-3857	41	14	wider	wide	ADJ
cana-3857	41	15	picture	picture	NOUN
cana-3857	41	16	of	of	ADP
cana-3857	41	17	t2ifs	t2if	NOUN
cana-3857	41	18	.	.	PUNCT
cana-3857	42	1	the	the	DET
cana-3857	42	2	idea	idea	NOUN
cana-3857	42	3	of	of	ADP
cana-3857	42	4	the	the	DET
cana-3857	42	5	tifftp	tifftp	NOUN
cana-3857	42	6	was	be	AUX
cana-3857	42	7	introduced	introduce	VERB
cana-3857	42	8	by	by	ADP
cana-3857	42	9	sk	sk	NOUN
cana-3857	42	10	bharati	bharati	NOUN
cana-3857	42	11	[	[	X
cana-3857	42	12	4	4	NUM
cana-3857	42	13	]	]	PUNCT
cana-3857	42	14	,	,	PUNCT
cana-3857	42	15	along	along	ADP
cana-3857	42	16	with	with	ADP
cana-3857	42	17	an	an	DET
cana-3857	42	18	approach	approach	NOUN
cana-3857	42	19	for	for	ADP
cana-3857	42	20	solving	solve	VERB
cana-3857	42	21	it	it	PRON
cana-3857	42	22	that	that	PRON
cana-3857	42	23	utilizes	utilize	VERB
cana-3857	42	24	the	the	DET
cana-3857	42	25	expectation	expectation	NOUN
cana-3857	42	26	of	of	ADP
cana-3857	42	27	trapezoidal	trapezoidal	ADJ
cana-3857	42	28	intuitionistic	intuitionistic	ADJ
cana-3857	42	29	fuzzy	fuzzy	ADJ
cana-3857	42	30	numbers	number	NOUN
cana-3857	42	31	.	.	PUNCT
cana-3857	43	1	gupta	gupta	NOUN
cana-3857	43	2	(	(	PUNCT
cana-3857	43	3	aggarwal	aggarwal	NOUN
cana-3857	43	4	and	and	CCONJ
cana-3857	43	5	gupta	gupta	PROPN
cana-3857	43	6	[	[	X
cana-3857	43	7	1	1	NUM
cana-3857	43	8	]	]	PUNCT
cana-3857	43	9	;	;	PUNCT
cana-3857	43	10	anupum	anupum	NOUN
cana-3857	43	11	and	and	CCONJ
cana-3857	43	12	gupta	gupta	NOUN
cana-3857	43	13	[	[	X
cana-3857	43	14	7	7	NUM
cana-3857	43	15	]	]	PUNCT
cana-3857	43	16	)	)	PUNCT
cana-3857	43	17	demonstrated	demonstrate	VERB
cana-3857	43	18	how	how	SCONJ
cana-3857	43	19	to	to	PART
cana-3857	43	20	solve	solve	VERB
cana-3857	43	21	the	the	DET
cana-3857	43	22	intuitionistic	intuitionistic	ADJ
cana-3857	43	23	fuzzy	fuzzy	ADJ
cana-3857	43	24	solid	solid	ADJ
cana-3857	43	25	transportation	transportation	NOUN
cana-3857	43	26	problem	problem	NOUN
cana-3857	43	27	using	use	VERB
cana-3857	43	28	a	a	DET
cana-3857	43	29	novel	novel	ADJ
cana-3857	43	30	ranking	ranking	NOUN
cana-3857	43	31	technique	technique	NOUN
cana-3857	43	32	based	base	VERB
cana-3857	43	33	on	on	ADP
cana-3857	43	34	signed	sign	VERB
cana-3857	43	35	distance	distance	NOUN
cana-3857	43	36	,	,	PUNCT
cana-3857	43	37	as	as	ADV
cana-3857	43	38	well	well	ADV
cana-3857	43	39	as	as	ADP
cana-3857	43	40	an	an	DET
cana-3857	43	41	effective	effective	ADJ
cana-3857	43	42	way	way	NOUN
cana-3857	43	43	for	for	ADP
cana-3857	43	44	addressing	address	VERB
cana-3857	43	45	the	the	DET
cana-3857	43	46	intuitionistic	intuitionistic	ADJ
cana-3857	43	47	fuzzy	fuzzy	ADJ
cana-3857	43	48	transportation	transportation	NOUN
cana-3857	43	49	problem	problem	NOUN
cana-3857	43	50	of	of	ADP
cana-3857	43	51	type	type	NOUN
cana-3857	43	52	2	2	NUM
cana-3857	43	53	.	.	PUNCT
cana-3857	44	1	the	the	DET
cana-3857	44	2	diagonal	diagonal	ADJ
cana-3857	44	3	optimum	optimum	ADJ
cana-3857	44	4	technique	technique	NOUN
cana-3857	44	5	was	be	AUX
cana-3857	44	6	established	establish	VERB
cana-3857	44	7	by	by	ADP
cana-3857	44	8	khalid	khalid	PROPN
cana-3857	45	1	[	[	X
cana-3857	45	2	12	12	NUM
cana-3857	45	3	]	]	PUNCT
cana-3857	45	4	for	for	ADP
cana-3857	45	5	the	the	DET
cana-3857	45	6	assignment	assignment	NOUN
cana-3857	45	7	problem	problem	NOUN
cana-3857	45	8	(	(	PUNCT
cana-3857	45	9	ap	ap	PROPN
cana-3857	45	10	)	)	PUNCT
cana-3857	45	11	.	.	PUNCT
cana-3857	46	1	fuzzy	fuzzy	PROPN
cana-3857	46	2	ap	ap	PROPN
cana-3857	46	3	was	be	AUX
cana-3857	46	4	resolved	resolve	VERB
cana-3857	46	5	by	by	ADP
cana-3857	46	6	dhanasekar	dhanasekar	NOUN
cana-3857	46	7	[	[	X
cana-3857	46	8	5	5	NUM
cana-3857	46	9	]	]	PUNCT
cana-3857	46	10	through	through	ADP
cana-3857	46	11	the	the	DET
cana-3857	46	12	diagonal	diagonal	ADJ
cana-3857	46	13	optimum	optimum	ADJ
cana-3857	46	14	algorithm	algorithm	NOUN
cana-3857	46	15	and	and	CCONJ
cana-3857	46	16	vogel	vogel	NOUN
cana-3857	46	17	’s	’s	PART
cana-3857	46	18	approximation	approximation	NOUN
cana-3857	46	19	technique	technique	NOUN
cana-3857	46	20	(	(	PUNCT
cana-3857	46	21	vam	vam	NOUN
cana-3857	46	22	)	)	PUNCT
cana-3857	46	23	.	.	PUNCT
cana-3857	47	1	it	it	PRON
cana-3857	47	2	is	be	AUX
cana-3857	47	3	suggested	suggest	VERB
cana-3857	47	4	to	to	PART
cana-3857	47	5	use	use	VERB
cana-3857	47	6	the	the	DET
cana-3857	47	7	diagonal	diagonal	ADJ
cana-3857	47	8	optimum	optimum	ADJ
cana-3857	47	9	approach	approach	NOUN
cana-3857	47	10	in	in	ADP
cana-3857	47	11	[	[	X
cana-3857	47	12	[	[	X
cana-3857	47	13	14	14	NUM
cana-3857	47	14	]	]	PUNCT
cana-3857	47	15	,	,	PUNCT
cana-3857	47	16	[	[	X
cana-3857	47	17	15	15	NUM
cana-3857	47	18	]	]	X
cana-3857	47	19	]	]	PUNCT
cana-3857	47	20	to	to	PART
cana-3857	47	21	tackle	tackle	VERB
cana-3857	47	22	fully	fully	ADV
cana-3857	47	23	fuzzy	fuzzy	ADJ
cana-3857	47	24	transportation	transportation	NOUN
cana-3857	47	25	problems	problem	NOUN
cana-3857	47	26	.	.	PUNCT
cana-3857	48	1	[	[	X
cana-3857	48	2	10	10	NUM
cana-3857	48	3	]	]	PUNCT
cana-3857	48	4	created	create	VERB
cana-3857	48	5	and	and	CCONJ
cana-3857	48	6	presented	present	VERB
cana-3857	48	7	a	a	DET
cana-3857	48	8	type	type	NOUN
cana-3857	48	9	2	2	NUM
cana-3857	48	10	fuzzy	fuzzy	ADJ
cana-3857	48	11	set	set	NOUN
cana-3857	48	12	extension	extension	NOUN
cana-3857	48	13	known	know	VERB
cana-3857	48	14	as	as	ADP
cana-3857	48	15	the	the	DET
cana-3857	48	16	generalized	generalized	ADJ
cana-3857	48	17	symmetric	symmetric	ADJ
cana-3857	48	18	type	type	NOUN
cana-3857	48	19	2	2	NUM
cana-3857	48	20	intuitionistic	intuitionistic	ADJ
cana-3857	48	21	fuzzy	fuzzy	ADJ
cana-3857	48	22	set	set	NOUN
cana-3857	48	23	.	.	PUNCT
cana-3857	49	1	this	this	DET
cana-3857	49	2	study	study	NOUN
cana-3857	49	3	provides	provide	VERB
cana-3857	49	4	a	a	DET
cana-3857	49	5	practical	practical	ADJ
cana-3857	49	6	method	method	NOUN
cana-3857	49	7	for	for	ADP
cana-3857	49	8	handling	handle	VERB
cana-3857	49	9	the	the	DET
cana-3857	49	10	t2ifftp	t2ifftp	PROPN
cana-3857	49	11	,	,	PUNCT
cana-3857	49	12	which	which	PRON
cana-3857	49	13	may	may	AUX
cana-3857	49	14	be	be	AUX
cana-3857	49	15	compared	compare	VERB
cana-3857	49	16	to	to	ADP
cana-3857	49	17	the	the	DET
cana-3857	49	18	work	work	NOUN
cana-3857	49	19	of	of	ADP
cana-3857	49	20	[	[	X
cana-3857	49	21	2	2	NUM
cana-3857	49	22	]	]	PUNCT
cana-3857	49	23	.	.	PUNCT
cana-3857	50	1	thus	thus	ADV
cana-3857	50	2	,	,	PUNCT
cana-3857	50	3	an	an	DET
cana-3857	50	4	algorithm	algorithm	NOUN
cana-3857	50	5	known	know	VERB
cana-3857	50	6	as	as	ADP
cana-3857	50	7	the	the	DET
cana-3857	50	8	diagonal	diagonal	ADJ
cana-3857	50	9	optimal	optimal	ADJ
cana-3857	50	10	method	method	NOUN
cana-3857	50	11	is	be	AUX
cana-3857	50	12	investigated	investigate	VERB
cana-3857	50	13	in	in	ADP
cana-3857	50	14	this	this	DET
cana-3857	50	15	work	work	NOUN
cana-3857	50	16	while	while	SCONJ
cana-3857	50	17	keeping	keep	VERB
cana-3857	50	18	in	in	ADP
cana-3857	50	19	mind	mind	NOUN
cana-3857	50	20	everything	everything	PRON
cana-3857	50	21	that	that	PRON
cana-3857	50	22	was	be	AUX
cana-3857	50	23	previously	previously	ADV
cana-3857	50	24	described	describe	VERB
cana-3857	50	25	and	and	CCONJ
cana-3857	50	26	motivated	motivate	VERB
cana-3857	50	27	by	by	ADP
cana-3857	50	28	[	[	PUNCT
cana-3857	50	29	11	11	NUM
cana-3857	50	30	]	]	PUNCT
cana-3857	50	31	.	.	PUNCT
cana-3857	51	1	3	3	X
cana-3857	51	2	.	.	X
cana-3857	51	3	preliminary	preliminary	ADJ
cana-3857	51	4	this	this	DET
cana-3857	51	5	section	section	NOUN
cana-3857	51	6	provides	provide	VERB
cana-3857	51	7	essential	essential	ADJ
cana-3857	51	8	background	background	NOUN
cana-3857	51	9	and	and	CCONJ
cana-3857	51	10	definitions	definition	NOUN
cana-3857	51	11	pertaining	pertain	VERB
cana-3857	51	12	to	to	ADP
cana-3857	51	13	fuzzy	fuzzy	ADJ
cana-3857	51	14	set	set	NOUN
cana-3857	51	15	theory	theory	NOUN
cana-3857	51	16	.	.	PUNCT
cana-3857	52	1	definition	definition	NOUN
cana-3857	52	2	3.1	3.1	NUM
cana-3857	52	3	consider	consider	VERB
cana-3857	52	4	t	t	NOUN
cana-3857	52	5	to	to	PART
cana-3857	52	6	be	be	AUX
cana-3857	52	7	a	a	DET
cana-3857	52	8	nonempty	nonempty	ADJ
cana-3857	52	9	set	set	VERB
cana-3857	52	10	.	.	PUNCT
cana-3857	53	1	an	an	DET
cana-3857	53	2	ifs	ifs	PROPN
cana-3857	53	3	�	�	PROPN
cana-3857	53	4	̂	̂	PROPN
cana-3857	53	5	�	�	PROPN
cana-3857	53	6	in	in	ADP
cana-3857	53	7	t	t	PROPN
cana-3857	53	8	is	be	AUX
cana-3857	53	9	defined	define	VERB
cana-3857	53	10	as	as	ADP
cana-3857	53	11	an	an	DET
cana-3857	53	12	object	object	NOUN
cana-3857	53	13	of	of	ADP
cana-3857	53	14	the	the	DET
cana-3857	53	15	form	form	NOUN
cana-3857	53	16	�	�	PROPN
cana-3857	53	17	̂	̂	VERB
cana-3857	53	18	�	�	NOUN
cana-3857	53	19	=	=	SYM
cana-3857	53	20	{	{	PUNCT
cana-3857	53	21	(	(	PUNCT
cana-3857	53	22	t	t	PROPN
cana-3857	53	23	,	,	PUNCT
cana-3857	53	24	µ	µ	X
cana-3857	53	25	�	�	NOUN
cana-3857	53	26	̂	̂	NOUN
cana-3857	53	27	�	�	NOUN
cana-3857	53	28	(t	(t	NOUN
cana-3857	53	29	)	)	PUNCT
cana-3857	53	30	,	,	PUNCT
cana-3857	53	31	𝜈	𝜈	X
cana-3857	53	32	�	�	PROPN
cana-3857	53	33	̂	̂	SYM
cana-3857	53	34	�	�	NOUN
cana-3857	53	35	(t	(t	NOUN
cana-3857	53	36	)	)	PUNCT
cana-3857	53	37	)	)	PUNCT
cana-3857	54	1	|	|	ADV
cana-3857	54	2	t	t	PROPN
cana-3857	54	3	∈	∈	PROPN
cana-3857	54	4	t	t	PROPN
cana-3857	54	5	}	}	PUNCT
cana-3857	54	6	,	,	PUNCT
cana-3857	54	7	where	where	SCONJ
cana-3857	54	8	the	the	DET
cana-3857	54	9	functions	function	NOUN
cana-3857	54	10	,	,	PUNCT
cana-3857	54	11	µ	µ	X
cana-3857	54	12	�	�	NOUN
cana-3857	54	13	̂	̂	NOUN
cana-3857	54	14	�	�	NOUN
cana-3857	54	15	(t	(t	NOUN
cana-3857	54	16	)	)	PUNCT
cana-3857	54	17	:	:	PUNCT
cana-3857	54	18	t	t	X
cana-3857	54	19	→	→	PUNCT
cana-3857	54	20	[	[	X
cana-3857	54	21	0,1	0,1	NUM
cana-3857	54	22	]	]	PUNCT
cana-3857	54	23	and	and	CCONJ
cana-3857	54	24	𝜈	𝜈	X
cana-3857	54	25	�	�	PROPN
cana-3857	54	26	̂	̂	NOUN
cana-3857	54	27	�	�	NOUN
cana-3857	54	28	(t	(t	NOUN
cana-3857	54	29	)	)	PUNCT
cana-3857	54	30	:	:	PUNCT
cana-3857	54	31	t	t	X
cana-3857	54	32	→	→	PUNCT
cana-3857	55	1	[	[	X
cana-3857	55	2	0,1	0,1	NUM
cana-3857	55	3	]	]	PUNCT
cana-3857	55	4	define	define	VERB
cana-3857	55	5	the	the	DET
cana-3857	55	6	degree	degree	NOUN
cana-3857	55	7	of	of	ADP
cana-3857	55	8	membership	membership	NOUN
cana-3857	55	9	and	and	CCONJ
cana-3857	55	10	non	non	ADJ
cana-3857	55	11	-	-	NOUN
cana-3857	55	12	membership	membership	NOUN
cana-3857	55	13	of	of	ADP
cana-3857	55	14	the	the	DET
cana-3857	55	15	element	element	NOUN
cana-3857	55	16	t	t	PROPN
cana-3857	55	17	∈	∈	PROPN
cana-3857	55	18	t	t	PROPN
cana-3857	55	19	respectively	respectively	ADV
cana-3857	55	20	,	,	PUNCT
cana-3857	55	21	and	and	CCONJ
cana-3857	55	22	0	0	NUM
cana-3857	55	23	≤	≤	NUM
cana-3857	55	24	µ	µ	NUM
cana-3857	55	25	�	�	PROPN
cana-3857	55	26	̂	̂	NOUN
cana-3857	55	27	�	�	NOUN
cana-3857	55	28	(t	(t	NOUN
cana-3857	55	29	)	)	PUNCT
cana-3857	55	30	,	,	PUNCT
cana-3857	55	31	𝜈	𝜈	X
cana-3857	55	32	�	�	PROPN
cana-3857	55	33	̂	̂	SYM
cana-3857	55	34	�	�	NOUN
cana-3857	55	35	(𝑡	(𝑡	NOUN
cana-3857	55	36	)	)	PUNCT
cana-3857	55	37	≤	≤	NOUN
cana-3857	55	38	1	1	NUM
cana-3857	55	39	for	for	ADP
cana-3857	55	40	every	every	DET
cana-3857	55	41	t	t	NOUN
cana-3857	55	42	∈	∈	PROPN
cana-3857	55	43	t.	t.	NOUN
cana-3857	55	44	definition	definition	NOUN
cana-3857	55	45	3.2	3.2	NUM
cana-3857	55	46	if	if	SCONJ
cana-3857	55	47	a	a	DET
cana-3857	55	48	subset	subset	NOUN
cana-3857	55	49	of	of	ADP
cana-3857	55	50	the	the	DET
cana-3857	55	51	real	real	ADJ
cana-3857	55	52	line	line	NOUN
cana-3857	55	53	�	�	PROPN
cana-3857	55	54	̂	̂	VERB
cana-3857	55	55	�	�	NOUN
cana-3857	55	56	=	=	SYM
cana-3857	55	57	{	{	PUNCT
cana-3857	55	58	(	(	PUNCT
cana-3857	55	59	t	t	PROPN
cana-3857	55	60	,	,	PUNCT
cana-3857	55	61	µ	µ	X
cana-3857	55	62	�	�	NOUN
cana-3857	55	63	̂	̂	NOUN
cana-3857	55	64	�	�	NOUN
cana-3857	55	65	(t	(t	NOUN
cana-3857	55	66	)	)	PUNCT
cana-3857	55	67	,	,	PUNCT
cana-3857	55	68	𝜈	𝜈	X
cana-3857	55	69	�	�	PROPN
cana-3857	55	70	̂	̂	SYM
cana-3857	55	71	�	�	NOUN
cana-3857	55	72	(t	(t	NOUN
cana-3857	55	73	)	)	PUNCT
cana-3857	55	74	)	)	PUNCT
cana-3857	56	1	|	|	ADV
cana-3857	56	2	t	t	PROPN
cana-3857	56	3	∈	∈	PROPN
cana-3857	56	4	t	t	PROPN
cana-3857	56	5	}	}	PUNCT
cana-3857	56	6	is	be	AUX
cana-3857	56	7	held	hold	VERB
cana-3857	56	8	to	to	PART
cana-3857	56	9	be	be	AUX
cana-3857	56	10	an	an	DET
cana-3857	56	11	intuitionistic	intuitionistic	ADJ
cana-3857	56	12	fuzzy	fuzzy	ADJ
cana-3857	56	13	number	number	NOUN
cana-3857	56	14	,	,	PUNCT
cana-3857	56	15	then	then	ADV
cana-3857	56	16	it	it	PRON
cana-3857	56	17	is	be	AUX
cana-3857	56	18	referred	refer	VERB
cana-3857	56	19	to	to	ADP
cana-3857	56	20	as	as	ADP
cana-3857	56	21	an	an	DET
cana-3857	56	22	intuitionistic	intuitionistic	ADJ
cana-3857	56	23	fuzzy	fuzzy	ADJ
cana-3857	56	24	number	number	NOUN
cana-3857	56	25	that	that	PRON
cana-3857	56	26	satisfies	satisfy	VERB
cana-3857	56	27	the	the	DET
cana-3857	56	28	criteria	criterion	NOUN
cana-3857	56	29	listed	list	VERB
cana-3857	56	30	below	below	ADV
cana-3857	56	31	.	.	PUNCT
cana-3857	57	1	communications	communication	NOUN
cana-3857	57	2	on	on	ADP
cana-3857	57	3	applied	apply	VERB
cana-3857	57	4	nonlinear	nonlinear	ADJ
cana-3857	57	5	analysis	analysis	NOUN
cana-3857	57	6	issn	issn	NOUN
cana-3857	57	7	:	:	PUNCT
cana-3857	57	8	1074	1074	NUM
cana-3857	57	9	-	-	PUNCT
cana-3857	57	10	133x	133x	NUM
cana-3857	57	11	vol	vol	NOUN
cana-3857	57	12	32	32	NUM
cana-3857	57	13	no	no	NOUN
cana-3857	57	14	.	.	PUNCT
cana-3857	58	1	9s	9s	NUM
cana-3857	58	2	(	(	PUNCT
cana-3857	58	3	2025	2025	NUM
cana-3857	58	4	)	)	PUNCT
cana-3857	58	5	300	300	NUM
cana-3857	58	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	58	7	i	i	PROPN
cana-3857	58	8	)	)	PUNCT
cana-3857	58	9	there	there	PRON
cana-3857	58	10	exist	exist	VERB
cana-3857	58	11	r1	r1	PROPN
cana-3857	58	12	∈	∈	PROPN
cana-3857	58	13	r	r	PROPN
cana-3857	58	14	,	,	PUNCT
cana-3857	58	15	µ	µ	PRON
cana-3857	58	16	�	�	NOUN
cana-3857	58	17	̂	̂	SYM
cana-3857	58	18	�	�	NOUN
cana-3857	58	19	(r1	(r1	PUNCT
cana-3857	58	20	)	)	PUNCT
cana-3857	59	1	=	=	SYM
cana-3857	59	2	1	1	NUM
cana-3857	59	3	and	and	CCONJ
cana-3857	59	4	𝜈	𝜈	PRON
cana-3857	59	5	�	�	PROPN
cana-3857	59	6	̂	̂	VERB
cana-3857	59	7	�	�	NOUN
cana-3857	59	8	(r1	(r1	X
cana-3857	59	9	)	)	PUNCT
cana-3857	60	1	=	=	SYM
cana-3857	60	2	0	0	X
cana-3857	60	3	.	.	X
cana-3857	60	4	ii	ii	PROPN
cana-3857	60	5	)	)	PUNCT
cana-3857	61	1	assuming	assume	VERB
cana-3857	61	2	that	that	SCONJ
cana-3857	61	3	µ	µ	NUM
cana-3857	61	4	�	�	PROPN
cana-3857	61	5	̂	̂	NOUN
cana-3857	61	6	�	�	NOUN
cana-3857	61	7	(t	(t	NOUN
cana-3857	61	8	)	)	PUNCT
cana-3857	61	9	:	:	PUNCT
cana-3857	62	1	r	r	X
cana-3857	62	2	→	→	SYM
cana-3857	62	3	[	[	X
cana-3857	62	4	0,1	0,1	NUM
cana-3857	62	5	]	]	PUNCT
cana-3857	62	6	is	be	AUX
cana-3857	62	7	continuous	continuous	ADJ
cana-3857	62	8	,	,	PUNCT
cana-3857	62	9	for	for	ADP
cana-3857	62	10	every	every	DET
cana-3857	62	11	t	t	NOUN
cana-3857	62	12	∈	∈	PROPN
cana-3857	62	13	r	r	NOUN
cana-3857	62	14	,	,	PUNCT
cana-3857	62	15	0	0	NUM
cana-3857	62	16	≤	≤	NUM
cana-3857	62	17	µ	µ	NUM
cana-3857	62	18	�	�	PROPN
cana-3857	62	19	̂	̂	NOUN
cana-3857	62	20	�	�	NOUN
cana-3857	62	21	(t	(t	NOUN
cana-3857	62	22	)	)	PUNCT
cana-3857	62	23	,	,	PUNCT
cana-3857	62	24	𝜈	𝜈	X
cana-3857	62	25	�	�	PROPN
cana-3857	62	26	̂	̂	SYM
cana-3857	62	27	�	�	NOUN
cana-3857	62	28	(t	(t	NOUN
cana-3857	62	29	)	)	PUNCT
cana-3857	62	30	≤	≤	NOUN
cana-3857	62	31	1	1	NUM
cana-3857	62	32	holds	hold	NOUN
cana-3857	62	33	.	.	PUNCT
cana-3857	63	1	the	the	DET
cana-3857	63	2	membership	membership	NOUN
cana-3857	63	3	and	and	CCONJ
cana-3857	63	4	non	non	ADJ
cana-3857	63	5	-	-	ADJ
cana-3857	63	6	membership	membership	ADJ
cana-3857	63	7	functions	function	NOUN
cana-3857	63	8	of	of	ADP
cana-3857	63	9	�	�	PROPN
cana-3857	63	10	̂	̂	VERB
cana-3857	63	11	�	�	NOUN
cana-3857	63	12	are	be	AUX
cana-3857	63	13	as	as	SCONJ
cana-3857	63	14	follows	follow	VERB
cana-3857	63	15	:	:	PUNCT
cana-3857	63	16	µ	µ	DET
cana-3857	63	17	�	�	NOUN
cana-3857	63	18	̂	̂	SYM
cana-3857	63	19	�	�	NOUN
cana-3857	63	20	(t	(t	NOUN
cana-3857	63	21	)	)	PUNCT
cana-3857	63	22	=	=	PRON
cana-3857	63	23	{	{	PUNCT
cana-3857	63	24	𝑘1(𝑡	𝑘1(𝑡	NOUN
cana-3857	63	25	)	)	PUNCT
cana-3857	63	26	;	;	PUNCT
cana-3857	63	27	𝑡	𝑡	PROPN
cana-3857	63	28	∈	∈	PROPN
cana-3857	63	29	[	[	X
cana-3857	63	30	𝑟1	𝑟1	NOUN
cana-3857	63	31	−	−	PROPN
cana-3857	63	32	𝜏1	𝜏1	NOUN
cana-3857	63	33	,	,	PUNCT
cana-3857	63	34	𝑟1	𝑟1	NOUN
cana-3857	63	35	]	]	PUNCT
cana-3857	63	36	1	1	NUM
cana-3857	63	37	;	;	PUNCT
cana-3857	63	38	𝑡	𝑡	PROPN
cana-3857	63	39	=	=	PROPN
cana-3857	63	40	𝑟1	𝑟1	PROPN
cana-3857	63	41	𝑙1(𝑡	𝑙1(𝑡	NOUN
cana-3857	63	42	)	)	PUNCT
cana-3857	63	43	;	;	PUNCT
cana-3857	63	44	𝑡	𝑡	PROPN
cana-3857	63	45	∈	∈	PROPN
cana-3857	63	46	(	(	PUNCT
cana-3857	63	47	𝑟1	𝑟1	NOUN
cana-3857	63	48	,	,	PUNCT
cana-3857	63	49	𝑟1	𝑟1	PROPN
cana-3857	63	50	+	+	CCONJ
cana-3857	64	1	𝜎1	𝜎1	ADJ
cana-3857	64	2	]	]	PUNCT
cana-3857	64	3	0	0	NUM
cana-3857	64	4	;	;	PUNCT
cana-3857	64	5	𝑂𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑂𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	PROPN
cana-3857	64	6	and	and	CCONJ
cana-3857	64	7	𝜈	𝜈	PRON
cana-3857	64	8	�	�	PROPN
cana-3857	64	9	̂	̂	NOUN
cana-3857	64	10	�	�	NOUN
cana-3857	64	11	(t	(t	NOUN
cana-3857	64	12	)	)	PUNCT
cana-3857	64	13	=	=	PRON
cana-3857	64	14	{	{	PUNCT
cana-3857	64	15	1	1	NUM
cana-3857	64	16	;	;	PUNCT
cana-3857	64	17	𝑡	𝑡	PROPN
cana-3857	64	18	∈	∈	PROPN
cana-3857	64	19	(	(	PUNCT
cana-3857	64	20	−∞	−∞	NOUN
cana-3857	64	21	,	,	PUNCT
cana-3857	64	22	𝑟1	𝑟1	PROPN
cana-3857	64	23	−	−	PROPN
cana-3857	64	24	𝜏2	𝜏2	PROPN
cana-3857	64	25	)	)	PUNCT
cana-3857	64	26	𝑘2(𝑡	𝑘2(𝑡	PROPN
cana-3857	64	27	)	)	PUNCT
cana-3857	64	28	;	;	PUNCT
cana-3857	64	29	𝑡	𝑡	PROPN
cana-3857	64	30	∈	∈	PROPN
cana-3857	65	1	[	[	X
cana-3857	65	2	𝑟1	𝑟1	NOUN
cana-3857	65	3	−	−	PROPN
cana-3857	65	4	𝜏2	𝜏2	PROPN
cana-3857	65	5	,	,	PUNCT
cana-3857	65	6	𝑟1	𝑟1	NOUN
cana-3857	65	7	]	]	X
cana-3857	65	8	0	0	NUM
cana-3857	65	9	;	;	PUNCT
cana-3857	65	10	𝑡	𝑡	PROPN
cana-3857	65	11	=	=	PROPN
cana-3857	65	12	𝑟1	𝑟1	PROPN
cana-3857	65	13	,	,	PUNCT
cana-3857	65	14	𝑡	𝑡	PROPN
cana-3857	65	15	∈	∈	PROPN
cana-3857	66	1	[	[	X
cana-3857	66	2	𝑟1	𝑟1	NOUN
cana-3857	66	3	+	+	CCONJ
cana-3857	66	4	𝜎2	𝜎2	PROPN
cana-3857	66	5	,	,	PUNCT
cana-3857	66	6	∞	∞	PROPN
cana-3857	66	7	)	)	PUNCT
cana-3857	66	8	𝑙2(𝑡	𝑙2(𝑡	NOUN
cana-3857	66	9	)	)	PUNCT
cana-3857	66	10	;	;	PUNCT
cana-3857	66	11	𝑡	𝑡	PROPN
cana-3857	66	12	∈	∈	PROPN
cana-3857	66	13	(	(	PUNCT
cana-3857	66	14	𝑟1	𝑟1	NOUN
cana-3857	66	15	,	,	PUNCT
cana-3857	66	16	𝑟1	𝑟1	PROPN
cana-3857	66	17	+	+	CCONJ
cana-3857	66	18	𝜎2	𝜎2	PROPN
cana-3857	66	19	]	]	PUNCT
cana-3857	66	20	where	where	SCONJ
cana-3857	66	21	ki(t	ki(t	NOUN
cana-3857	66	22	)	)	PUNCT
cana-3857	66	23	and	and	CCONJ
cana-3857	66	24	li(t	li(t	NOUN
cana-3857	66	25	)	)	PUNCT
cana-3857	66	26	(	(	PUNCT
cana-3857	66	27	for	for	ADP
cana-3857	66	28	i	i	PRON
cana-3857	66	29	=	=	SYM
cana-3857	66	30	1	1	NUM
cana-3857	66	31	,	,	PUNCT
cana-3857	66	32	2	2	NUM
cana-3857	66	33	)	)	PUNCT
cana-3857	66	34	are	be	AUX
cana-3857	66	35	strictly	strictly	ADV
cana-3857	66	36	increasing	increase	VERB
cana-3857	66	37	and	and	CCONJ
cana-3857	66	38	decreasing	decrease	VERB
cana-3857	66	39	functions	function	NOUN
cana-3857	66	40	in	in	ADP
cana-3857	66	41	[	[	X
cana-3857	66	42	r1	r1	NOUN
cana-3857	66	43	−	−	PROPN
cana-3857	66	44	τi	τi	PROPN
cana-3857	66	45	,	,	PUNCT
cana-3857	66	46	r1	r1	PROPN
cana-3857	66	47	)	)	PUNCT
cana-3857	66	48	and	and	CCONJ
cana-3857	66	49	(	(	PUNCT
cana-3857	66	50	r1	r1	PROPN
cana-3857	66	51	,	,	PUNCT
cana-3857	66	52	r1	r1	PROPN
cana-3857	66	53	+	+	CCONJ
cana-3857	66	54	σi	σi	X
cana-3857	66	55	]	]	X
cana-3857	66	56	,	,	PUNCT
cana-3857	66	57	respectively	respectively	ADV
cana-3857	66	58	.	.	PUNCT
cana-3857	67	1	the	the	DET
cana-3857	67	2	left	left	ADJ
cana-3857	67	3	and	and	CCONJ
cana-3857	67	4	right	right	ADJ
cana-3857	67	5	spreads	spread	NOUN
cana-3857	67	6	of	of	ADP
cana-3857	67	7	µ	µ	DET
cana-3857	67	8	�	�	NOUN
cana-3857	67	9	̂	̂	NOUN
cana-3857	67	10	�	�	NOUN
cana-3857	67	11	(t	(t	NOUN
cana-3857	67	12	)	)	PUNCT
cana-3857	67	13	and	and	CCONJ
cana-3857	67	14	𝜈	𝜈	PRON
cana-3857	67	15	�	�	PROPN
cana-3857	67	16	̂	̂	SYM
cana-3857	67	17	�	�	NOUN
cana-3857	67	18	(t	(t	NOUN
cana-3857	67	19	)	)	PUNCT
cana-3857	67	20	.	.	PUNCT
cana-3857	68	1	definition	definition	NOUN
cana-3857	68	2	3.3	3.3	NUM
cana-3857	68	3	let	let	VERB
cana-3857	68	4	�	�	PROPN
cana-3857	68	5	̂	̂	VERB
cana-3857	68	6	�	�	NOUN
cana-3857	68	7	=	=	SYM
cana-3857	68	8	(	(	PUNCT
cana-3857	68	9	(	(	PUNCT
cana-3857	68	10	𝑚1	𝑚1	X
cana-3857	68	11	,	,	PUNCT
cana-3857	68	12	𝑚2	𝑚2	NOUN
cana-3857	68	13	,	,	PUNCT
cana-3857	68	14	𝑚3	𝑚3	NOUN
cana-3857	68	15	,	,	PUNCT
cana-3857	68	16	𝑚4	𝑚4	PROPN
cana-3857	68	17	)	)	PUNCT
cana-3857	68	18	,	,	PUNCT
cana-3857	68	19	(	(	PUNCT
cana-3857	68	20	𝑚1	𝑚1	PROPN
cana-3857	68	21	̍	̍	PROPN
cana-3857	68	22	,	,	PUNCT
cana-3857	68	23	𝑚2	𝑚2	PROPN
cana-3857	68	24	̍	̍	PROPN
cana-3857	68	25	,	,	PUNCT
cana-3857	68	26	𝑚3	𝑚3	PROPN
cana-3857	68	27	̍	̍	PROPN
cana-3857	68	28	,	,	PUNCT
cana-3857	68	29	𝑚4	𝑚4	PROPN
cana-3857	68	30	̍	̍	NOUN
cana-3857	68	31	)	)	PUNCT
cana-3857	68	32	)	)	PUNCT
cana-3857	68	33	represents	represent	VERB
cana-3857	68	34	a	a	DET
cana-3857	68	35	trapezoidal	trapezoidal	ADJ
cana-3857	68	36	intuitionistic	intuitionistic	ADJ
cana-3857	68	37	fuzzy	fuzzy	ADJ
cana-3857	68	38	number	number	NOUN
cana-3857	68	39	,	,	PUNCT
cana-3857	68	40	where	where	SCONJ
cana-3857	68	41	(	(	PUNCT
cana-3857	68	42	𝑚1	𝑚1	NOUN
cana-3857	68	43	̍	̍	PROPN
cana-3857	68	44	≤	≤	NUM
cana-3857	68	45	𝑚1	𝑚1	NOUN
cana-3857	68	46	≤	≤	NUM
cana-3857	68	47	𝑚2	𝑚2	PROPN
cana-3857	68	48	≤	≤	NOUN
cana-3857	68	49	𝑚3	𝑚3	NOUN
cana-3857	68	50	≤	≤	X
cana-3857	68	51	𝑚4	𝑚4	PROPN
cana-3857	68	52	≤	≤	ADJ
cana-3857	68	53	𝑚4	𝑚4	PROPN
cana-3857	68	54	̍	̍	PROPN
cana-3857	68	55	)	)	PUNCT
cana-3857	68	56	has	have	VERB
cana-3857	68	57	membership	membership	NOUN
cana-3857	68	58	and	and	CCONJ
cana-3857	68	59	non	non	ADJ
cana-3857	68	60	-	-	ADJ
cana-3857	68	61	membership	membership	ADJ
cana-3857	68	62	functions	function	NOUN
cana-3857	68	63	described	describe	VERB
cana-3857	68	64	as	as	ADP
cana-3857	68	65	follows	follow	VERB
cana-3857	68	66	:	:	PUNCT
cana-3857	68	67	µ	µ	NUM
cana-3857	68	68	�	�	NOUN
cana-3857	68	69	̂	̂	SYM
cana-3857	68	70	�	�	NOUN
cana-3857	68	71	(t	(t	NOUN
cana-3857	68	72	)	)	PUNCT
cana-3857	69	1	=	=	PRON
cana-3857	69	2	{	{	PUNCT
cana-3857	69	3	𝑡	𝑡	PROPN
cana-3857	69	4	−	−	PROPN
cana-3857	69	5	𝑚1	𝑚1	NOUN
cana-3857	69	6	𝑚2	𝑚2	PROPN
cana-3857	69	7	−	−	PROPN
cana-3857	69	8	𝑚1	𝑚1	NOUN
cana-3857	69	9	;	;	PUNCT
cana-3857	69	10	𝑚1	𝑚1	NOUN
cana-3857	69	11	≤	≤	NUM
cana-3857	69	12	𝑡	𝑡	VERB
cana-3857	69	13	≤	≤	PROPN
cana-3857	69	14	𝑚2	𝑚2	NOUN
cana-3857	69	15	1	1	NUM
cana-3857	69	16	;	;	PUNCT
cana-3857	69	17	𝑚2	𝑚2	NOUN
cana-3857	69	18	≤	≤	NUM
cana-3857	69	19	𝑡	𝑡	PROPN
cana-3857	69	20	≤	≤	PROPN
cana-3857	69	21	𝑚3	𝑚3	NOUN
cana-3857	69	22	𝑚4	𝑚4	VERB
cana-3857	69	23	−𝑡	−𝑡	ADJ
cana-3857	69	24	𝑚4	𝑚4	PROPN
cana-3857	69	25	−𝑚3	−𝑚3	PROPN
cana-3857	69	26	;	;	PUNCT
cana-3857	69	27	𝑚3	𝑚3	NOUN
cana-3857	69	28	≤	≤	X
cana-3857	69	29	𝑡	𝑡	PROPN
cana-3857	69	30	≤	≤	PROPN
cana-3857	69	31	𝑚4	𝑚4	PROPN
cana-3857	69	32	0	0	NUM
cana-3857	69	33	;	;	PUNCT
cana-3857	69	34	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒.	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒.	NOUN
cana-3857	69	35	and	and	CCONJ
cana-3857	69	36	𝜈	𝜈	X
cana-3857	69	37	�	�	PROPN
cana-3857	69	38	̂	̂	SYM
cana-3857	69	39	�	�	NOUN
cana-3857	69	40	(t	(t	NOUN
cana-3857	69	41	)	)	PUNCT
cana-3857	69	42	=	=	PRON
cana-3857	69	43	{	{	PUNCT
cana-3857	69	44	𝑚2	𝑚2	NOUN
cana-3857	69	45	−	−	PROPN
cana-3857	69	46	𝑡	𝑡	PROPN
cana-3857	69	47	𝑚2	𝑚2	PROPN
cana-3857	69	48	−	−	PROPN
cana-3857	69	49	𝑚1	𝑚1	NOUN
cana-3857	69	50	̍	̍	PROPN
cana-3857	69	51	;	;	PUNCT
cana-3857	69	52	𝑚1	𝑚1	NOUN
cana-3857	69	53	̍	̍	PROPN
cana-3857	69	54	≤	≤	NUM
cana-3857	69	55	𝑡	𝑡	PROPN
cana-3857	69	56	≤	≤	NOUN
cana-3857	69	57	𝑚2	𝑚2	NOUN
cana-3857	69	58	0	0	NUM
cana-3857	69	59	;	;	PUNCT
cana-3857	69	60	𝑚2	𝑚2	NOUN
cana-3857	69	61	≤	≤	NUM
cana-3857	69	62	𝑡	𝑡	PROPN
cana-3857	69	63	≤	≤	NUM
cana-3857	69	64	𝑚3	𝑚3	NOUN
cana-3857	69	65	𝑡	𝑡	PROPN
cana-3857	69	66	−	−	PROPN
cana-3857	69	67	𝑚3	𝑚3	NOUN
cana-3857	69	68	𝑚4	𝑚4	PROPN
cana-3857	69	69	̍	̍	PROPN
cana-3857	69	70	−𝑚3	−𝑚3	PROPN
cana-3857	69	71	;	;	PUNCT
cana-3857	69	72	𝑚3	𝑚3	NOUN
cana-3857	69	73	≤	≤	X
cana-3857	69	74	𝑡	𝑡	PROPN
cana-3857	69	75	≤	≤	ADJ
cana-3857	69	76	𝑚4	𝑚4	ADJ
cana-3857	69	77	̍	̍	PROPN
cana-3857	69	78	1	1	NUM
cana-3857	69	79	;	;	PUNCT
cana-3857	69	80	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒.	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒.	NOUN
cana-3857	69	81	definition	definition	NOUN
cana-3857	69	82	3.4	3.4	NUM
cana-3857	69	83	let	let	VERB
cana-3857	69	84	the	the	DET
cana-3857	69	85	two	two	NUM
cana-3857	69	86	generalized	generalized	ADJ
cana-3857	69	87	trapezoidal	trapezoidal	ADJ
cana-3857	69	88	intuitionistic	intuitionistic	ADJ
cana-3857	69	89	fuzzy	fuzzy	ADJ
cana-3857	69	90	numbers	number	NOUN
cana-3857	69	91	be	be	AUX
cana-3857	69	92	and	and	CCONJ
cana-3857	69	93	�	�	PROPN
cana-3857	69	94	̂	̂	VERB
cana-3857	69	95	�	�	NOUN
cana-3857	69	96	=	=	SYM
cana-3857	69	97	{	{	PUNCT
cana-3857	69	98	(	(	PUNCT
cana-3857	69	99	𝑚1	𝑚1	PROPN
cana-3857	69	100	̍	̍	PROPN
cana-3857	69	101	,	,	PUNCT
cana-3857	69	102	𝑚2	𝑚2	PROPN
cana-3857	69	103	̍	̍	PROPN
cana-3857	69	104	,	,	PUNCT
cana-3857	69	105	𝑚3	𝑚3	PROPN
cana-3857	69	106	̍	̍	PROPN
cana-3857	69	107	,	,	PUNCT
cana-3857	69	108	𝑚4	𝑚4	PROPN
cana-3857	69	109	̍	̍	PROPN
cana-3857	69	110	,	,	PUNCT
cana-3857	69	111	)	)	PUNCT
cana-3857	69	112	,	,	PUNCT
cana-3857	69	113	(	(	PUNCT
cana-3857	69	114	𝑛1	𝑛1	PROPN
cana-3857	69	115	̍	̍	PROPN
cana-3857	69	116	,	,	PUNCT
cana-3857	69	117	𝑛2	𝑛2	PROPN
cana-3857	69	118	̍	̍	PROPN
cana-3857	69	119	,	,	PUNCT
cana-3857	69	120	𝑛3	𝑛3	PROPN
cana-3857	69	121	̍	̍	PROPN
cana-3857	69	122	,	,	PUNCT
cana-3857	69	123	𝑛4	𝑛4	NOUN
cana-3857	69	124	̍	̍	PROPN
cana-3857	69	125	)	)	PUNCT
cana-3857	69	126	;	;	PUNCT
cana-3857	69	127	𝜉𝐴	𝜉𝐴	PROPN
cana-3857	69	128	,	,	PUNCT
cana-3857	69	129	𝜓𝐴	𝜓𝐴	ADV
cana-3857	69	130	}	}	PUNCT
cana-3857	69	131	and	and	CCONJ
cana-3857	69	132	�	�	PROPN
cana-3857	69	133	̂	̂	VERB
cana-3857	69	134	�	�	NOUN
cana-3857	69	135	=	=	SYM
cana-3857	69	136	{	{	PUNCT
cana-3857	69	137	(	(	PUNCT
cana-3857	69	138	𝑝1	𝑝1	PROPN
cana-3857	69	139	̍	̍	PROPN
cana-3857	69	140	,	,	PUNCT
cana-3857	69	141	𝑝2	𝑝2	PROPN
cana-3857	69	142	̍	̍	PROPN
cana-3857	69	143	,	,	PUNCT
cana-3857	69	144	𝑝3	𝑝3	ADV
cana-3857	69	145	̍	̍	PROPN
cana-3857	69	146	,	,	PUNCT
cana-3857	69	147	𝑝4	𝑝4	PROPN
cana-3857	69	148	̍	̍	PROPN
cana-3857	69	149	)	)	PUNCT
cana-3857	69	150	,	,	PUNCT
cana-3857	69	151	(	(	PUNCT
cana-3857	69	152	𝑞1	𝑞1	PROPN
cana-3857	69	153	̍	̍	PROPN
cana-3857	69	154	,	,	PUNCT
cana-3857	69	155	𝑞2	𝑞2	PROPN
cana-3857	69	156	̍	̍	PROPN
cana-3857	69	157	,	,	PUNCT
cana-3857	69	158	𝑞3	𝑞3	PROPN
cana-3857	69	159	̍	̍	PROPN
cana-3857	69	160	,	,	PUNCT
cana-3857	69	161	𝑞4	𝑞4	PROPN
cana-3857	69	162	̍	̍	PROPN
cana-3857	69	163	)	)	PUNCT
cana-3857	69	164	;	;	PUNCT
cana-3857	69	165	𝜉𝐵	𝜉𝐵	NOUN
cana-3857	69	166	,	,	PUNCT
cana-3857	69	167	𝜓𝐵	𝜓𝐵	NOUN
cana-3857	69	168	}	}	PUNCT
cana-3857	69	169	.	.	PUNCT
cana-3857	70	1	communications	communication	NOUN
cana-3857	70	2	on	on	ADP
cana-3857	70	3	applied	apply	VERB
cana-3857	70	4	nonlinear	nonlinear	ADJ
cana-3857	70	5	analysis	analysis	NOUN
cana-3857	70	6	issn	issn	NOUN
cana-3857	70	7	:	:	PUNCT
cana-3857	70	8	1074	1074	NUM
cana-3857	70	9	-	-	PUNCT
cana-3857	70	10	133x	133x	NUM
cana-3857	70	11	vol	vol	NOUN
cana-3857	70	12	32	32	NUM
cana-3857	70	13	no	no	NOUN
cana-3857	70	14	.	.	PUNCT
cana-3857	71	1	9s	9s	NUM
cana-3857	71	2	(	(	PUNCT
cana-3857	71	3	2025	2025	NUM
cana-3857	71	4	)	)	PUNCT
cana-3857	71	5	301	301	NUM
cana-3857	71	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	72	1	the	the	DET
cana-3857	72	2	following	follow	VERB
cana-3857	72	3	arithmetic	arithmetic	ADJ
cana-3857	72	4	operations	operation	NOUN
cana-3857	72	5	appear	appear	VERB
cana-3857	72	6	:	:	PUNCT
cana-3857	73	1	i	i	NOUN
cana-3857	73	2	)	)	PUNCT
cana-3857	73	3	addition	addition	NOUN
cana-3857	73	4	:	:	PUNCT
cana-3857	73	5	�	�	PROPN
cana-3857	73	6	̂	̂	SYM
cana-3857	73	7	�	�	PROPN
cana-3857	73	8	+	+	SYM
cana-3857	73	9	�	�	PROPN
cana-3857	73	10	̂	̂	SYM
cana-3857	73	11	�	�	NOUN
cana-3857	73	12	=	=	SYM
cana-3857	73	13	{	{	PUNCT
cana-3857	73	14	(	(	PUNCT
cana-3857	73	15	𝑚1	𝑚1	PROPN
cana-3857	73	16	̍	̍	PROPN
cana-3857	73	17	+	+	PROPN
cana-3857	73	18	𝑝1	𝑝1	PROPN
cana-3857	73	19	̍	̍	PROPN
cana-3857	73	20	,	,	PUNCT
cana-3857	73	21	𝑚2	𝑚2	NOUN
cana-3857	73	22	̍	̍	PROPN
cana-3857	73	23	+	+	NUM
cana-3857	73	24	𝑝2	𝑝2	PROPN
cana-3857	73	25	̍	̍	PROPN
cana-3857	73	26	,	,	PUNCT
cana-3857	73	27	𝑚3	𝑚3	NOUN
cana-3857	73	28	̍	̍	PROPN
cana-3857	73	29	+	+	PUNCT
cana-3857	73	30	𝑝3	𝑝3	ADP
cana-3857	73	31	̍	̍	ADJ
cana-3857	73	32	,	,	PUNCT
cana-3857	73	33	𝑚4	𝑚4	ADJ
cana-3857	73	34	̍	̍	ADJ
cana-3857	73	35	+	+	CCONJ
cana-3857	73	36	𝑝4	𝑝4	PROPN
cana-3857	73	37	̍	̍	PROPN
cana-3857	73	38	)	)	PUNCT
cana-3857	73	39	(	(	PUNCT
cana-3857	73	40	𝑛1	𝑛1	NOUN
cana-3857	73	41	̍	̍	PROPN
cana-3857	73	42	+	+	CCONJ
cana-3857	73	43	𝑞1	𝑞1	PROPN
cana-3857	73	44	̍	̍	PROPN
cana-3857	73	45	,	,	PUNCT
cana-3857	73	46	𝑛2	𝑛2	NOUN
cana-3857	73	47	̍	̍	PROPN
cana-3857	73	48	+	+	NUM
cana-3857	73	49	𝑞2	𝑞2	NOUN
cana-3857	73	50	̍	̍	PROPN
cana-3857	73	51	,	,	PUNCT
cana-3857	73	52	𝑛3	𝑛3	NOUN
cana-3857	73	53	̍	̍	PROPN
cana-3857	73	54	+	+	CCONJ
cana-3857	73	55	𝑞3	𝑞3	PROPN
cana-3857	73	56	̍	̍	PROPN
cana-3857	73	57	,	,	PUNCT
cana-3857	73	58	𝑛4	𝑛4	NOUN
cana-3857	73	59	̍	̍	NOUN
cana-3857	73	60	+	+	NUM
cana-3857	73	61	𝑞4	𝑞4	PROPN
cana-3857	73	62	̍	̍	NOUN
cana-3857	73	63	)	)	PUNCT
cana-3857	73	64	;	;	PUNCT
cana-3857	73	65	ξ	ξ	X
cana-3857	73	66	,	,	PUNCT
cana-3857	73	67	ψ	ψ	ADP
cana-3857	73	68	}	}	PUNCT
cana-3857	73	69	where	where	SCONJ
cana-3857	73	70	ξ	ξ	PROPN
cana-3857	73	71	=	=	SYM
cana-3857	73	72	min	min	PROPN
cana-3857	73	73	(	(	PUNCT
cana-3857	73	74	𝜉𝐴	𝜉𝐴	PROPN
cana-3857	73	75	,	,	PUNCT
cana-3857	73	76	𝜉𝐵	𝜉𝐵	NOUN
cana-3857	73	77	)	)	PUNCT
cana-3857	73	78	and	and	CCONJ
cana-3857	73	79	𝜓	𝜓	X
cana-3857	73	80	=	=	SYM
cana-3857	73	81	max	max	PROPN
cana-3857	73	82	(	(	PUNCT
cana-3857	73	83	𝜓𝐴	𝜓𝐴	PROPN
cana-3857	73	84	,	,	PUNCT
cana-3857	73	85	𝜓𝐵	𝜓𝐵	NOUN
cana-3857	73	86	)	)	PUNCT
cana-3857	73	87	.	.	PUNCT
cana-3857	74	1	ii	ii	X
cana-3857	74	2	)	)	PUNCT
cana-3857	74	3	subtraction	subtraction	NOUN
cana-3857	74	4	:	:	PUNCT
cana-3857	74	5	�	�	PROPN
cana-3857	74	6	̂	̂	SYM
cana-3857	74	7	�	�	PROPN
cana-3857	74	8	�	�	PROPN
cana-3857	74	9	̂	̂	PROPN
cana-3857	74	10	�	�	NOUN
cana-3857	74	11	=	=	SYM
cana-3857	74	12	{	{	PUNCT
cana-3857	74	13	(	(	PUNCT
cana-3857	74	14	𝑚1	𝑚1	PROPN
cana-3857	74	15	̍	̍	PROPN
cana-3857	74	16	−	−	PROPN
cana-3857	74	17	𝑝4	𝑝4	PROPN
cana-3857	74	18	̍	̍	PROPN
cana-3857	74	19	,	,	PUNCT
cana-3857	74	20	𝑚2	𝑚2	NOUN
cana-3857	74	21	̍	̍	ADP
cana-3857	74	22	−	−	NUM
cana-3857	74	23	𝑝3	𝑝3	PROPN
cana-3857	74	24	̍	̍	PROPN
cana-3857	74	25	,	,	PUNCT
cana-3857	74	26	𝑚3	𝑚3	NOUN
cana-3857	74	27	̍	̍	PROPN
cana-3857	74	28	−	−	PROPN
cana-3857	74	29	𝑝2	𝑝2	PROPN
cana-3857	74	30	̍	̍	PROPN
cana-3857	74	31	,	,	PUNCT
cana-3857	74	32	𝑚4	𝑚4	ADJ
cana-3857	74	33	̍	̍	ADP
cana-3857	74	34	−	−	PUNCT
cana-3857	74	35	𝑝1)̍	𝑝1)̍	NOUN
cana-3857	74	36	(	(	PUNCT
cana-3857	74	37	𝑛1	𝑛1	NOUN
cana-3857	74	38	̍	̍	PROPN
cana-3857	74	39	−	−	PROPN
cana-3857	74	40	𝑞4	𝑞4	PROPN
cana-3857	74	41	̍	̍	PROPN
cana-3857	74	42	,	,	PUNCT
cana-3857	74	43	𝑛2	𝑛2	NOUN
cana-3857	74	44	̍	̍	ADP
cana-3857	74	45	−	−	PROPN
cana-3857	74	46	𝑞3	𝑞3	PROPN
cana-3857	74	47	̍	̍	PROPN
cana-3857	74	48	,	,	PUNCT
cana-3857	74	49	𝑛3	𝑛3	NOUN
cana-3857	74	50	̍	̍	ADP
cana-3857	74	51	−	−	PROPN
cana-3857	74	52	𝑞2	𝑞2	PROPN
cana-3857	74	53	̍	̍	PROPN
cana-3857	74	54	,	,	PUNCT
cana-3857	74	55	𝑛4	𝑛4	NOUN
cana-3857	74	56	̍	̍	ADP
cana-3857	74	57	−	−	PROPN
cana-3857	74	58	𝑞1	𝑞1	PROPN
cana-3857	74	59	̍	̍	PROPN
cana-3857	74	60	)	)	PUNCT
cana-3857	74	61	;	;	PUNCT
cana-3857	74	62	ξ	ξ	X
cana-3857	74	63	,	,	PUNCT
cana-3857	74	64	ψ	ψ	ADP
cana-3857	74	65	}	}	PUNCT
cana-3857	74	66	where	where	SCONJ
cana-3857	74	67	ξ	ξ	PROPN
cana-3857	74	68	=	=	SYM
cana-3857	74	69	min	min	PROPN
cana-3857	74	70	(	(	PUNCT
cana-3857	74	71	𝜉𝐴	𝜉𝐴	PROPN
cana-3857	74	72	,	,	PUNCT
cana-3857	74	73	𝜉𝐵	𝜉𝐵	NOUN
cana-3857	74	74	)	)	PUNCT
cana-3857	74	75	and	and	CCONJ
cana-3857	74	76	𝜓	𝜓	X
cana-3857	74	77	=	=	SYM
cana-3857	74	78	max	max	PROPN
cana-3857	74	79	(	(	PUNCT
cana-3857	74	80	𝜓𝐴	𝜓𝐴	PROPN
cana-3857	74	81	,	,	PUNCT
cana-3857	74	82	𝜓𝐵	𝜓𝐵	NOUN
cana-3857	74	83	)	)	PUNCT
cana-3857	74	84	.	.	PUNCT
cana-3857	75	1	iii	iii	X
cana-3857	75	2	)	)	PUNCT
cana-3857	75	3	multiplication	multiplication	NOUN
cana-3857	75	4	:	:	PUNCT
cana-3857	75	5	�	�	PROPN
cana-3857	75	6	̂	̂	SYM
cana-3857	75	7	�	�	PROPN
cana-3857	75	8	∗	∗	NOUN
cana-3857	75	9	�	�	PROPN
cana-3857	75	10	̂	̂	SYM
cana-3857	75	11	�	�	NOUN
cana-3857	75	12	=	=	SYM
cana-3857	75	13	{	{	PUNCT
cana-3857	75	14	(	(	PUNCT
cana-3857	75	15	𝑚1	𝑚1	PROPN
cana-3857	75	16	̍	̍	PROPN
cana-3857	75	17	∗	∗	NOUN
cana-3857	75	18	𝑝1	𝑝1	PROPN
cana-3857	75	19	̍	̍	PROPN
cana-3857	75	20	,	,	PUNCT
cana-3857	75	21	𝑚2	𝑚2	NOUN
cana-3857	75	22	̍	̍	PROPN
cana-3857	75	23	∗	∗	NOUN
cana-3857	75	24	𝑝2	𝑝2	PROPN
cana-3857	75	25	̍	̍	PROPN
cana-3857	75	26	,	,	PUNCT
cana-3857	75	27	𝑚3	𝑚3	NOUN
cana-3857	75	28	̍	̍	PROPN
cana-3857	75	29	∗	∗	NOUN
cana-3857	75	30	𝑝3	𝑝3	ADP
cana-3857	75	31	̍	̍	PROPN
cana-3857	75	32	,	,	PUNCT
cana-3857	75	33	𝑚4	𝑚4	ADJ
cana-3857	75	34	̍	̍	ADP
cana-3857	75	35	∗	∗	NOUN
cana-3857	75	36	𝑝4	𝑝4	NOUN
cana-3857	75	37	̍	̍	PROPN
cana-3857	75	38	)	)	PUNCT
cana-3857	75	39	(	(	PUNCT
cana-3857	75	40	𝑛1	𝑛1	NOUN
cana-3857	75	41	̍	̍	PROPN
cana-3857	75	42	∗	∗	NOUN
cana-3857	75	43	𝑞1	𝑞1	PROPN
cana-3857	75	44	̍	̍	PROPN
cana-3857	75	45	,	,	PUNCT
cana-3857	75	46	𝑛2	𝑛2	NOUN
cana-3857	75	47	̍	̍	PROPN
cana-3857	75	48	∗	∗	NOUN
cana-3857	75	49	𝑞2	𝑞2	NOUN
cana-3857	75	50	̍	̍	PROPN
cana-3857	75	51	,	,	PUNCT
cana-3857	75	52	𝑛3	𝑛3	NOUN
cana-3857	75	53	̍	̍	PROPN
cana-3857	75	54	∗	∗	NOUN
cana-3857	75	55	𝑞3	𝑞3	PROPN
cana-3857	75	56	̍	̍	PROPN
cana-3857	75	57	,	,	PUNCT
cana-3857	75	58	𝑛4	𝑛4	NOUN
cana-3857	75	59	̍	̍	PROPN
cana-3857	75	60	∗	∗	NOUN
cana-3857	75	61	𝑞4	𝑞4	PROPN
cana-3857	75	62	̍	̍	PROPN
cana-3857	75	63	)	)	PUNCT
cana-3857	75	64	;	;	PUNCT
cana-3857	75	65	ξ	ξ	X
cana-3857	75	66	,	,	PUNCT
cana-3857	75	67	ψ	ψ	ADP
cana-3857	75	68	}	}	PUNCT
cana-3857	75	69	where	where	SCONJ
cana-3857	75	70	ξ	ξ	PROPN
cana-3857	75	71	=	=	SYM
cana-3857	75	72	min	min	PROPN
cana-3857	75	73	(	(	PUNCT
cana-3857	75	74	𝜉𝐴	𝜉𝐴	PROPN
cana-3857	75	75	,	,	PUNCT
cana-3857	75	76	𝜉𝐵	𝜉𝐵	NOUN
cana-3857	75	77	)	)	PUNCT
cana-3857	75	78	and	and	CCONJ
cana-3857	75	79	𝜓	𝜓	X
cana-3857	75	80	=	=	SYM
cana-3857	75	81	max	max	PROPN
cana-3857	75	82	(	(	PUNCT
cana-3857	75	83	𝜓𝐴	𝜓𝐴	PROPN
cana-3857	75	84	,	,	PUNCT
cana-3857	75	85	𝜓𝐵	𝜓𝐵	NOUN
cana-3857	75	86	)	)	PUNCT
cana-3857	75	87	.	.	PUNCT
cana-3857	76	1	iv	iv	X
cana-3857	76	2	)	)	PUNCT
cana-3857	76	3	scalar	scalar	ADJ
cana-3857	76	4	multiplication	multiplication	NOUN
cana-3857	76	5	:	:	PUNCT
cana-3857	76	6	π	π	X
cana-3857	76	7	�	�	PROPN
cana-3857	76	8	̂	̂	SYM
cana-3857	76	9	�	�	NOUN
cana-3857	76	10	=	=	SYM
cana-3857	76	11	{	{	PUNCT
cana-3857	76	12	(	(	PUNCT
cana-3857	76	13	𝜋𝑚1	𝜋𝑚1	PROPN
cana-3857	76	14	̍	̍	PROPN
cana-3857	76	15	,	,	PUNCT
cana-3857	76	16	𝜋𝑚2	𝜋𝑚2	PROPN
cana-3857	76	17	̍	̍	PROPN
cana-3857	76	18	,	,	PUNCT
cana-3857	76	19	𝜋𝑚3	𝜋𝑚3	NOUN
cana-3857	76	20	̍	̍	PROPN
cana-3857	76	21	,	,	PUNCT
cana-3857	76	22	𝜋𝑚4	𝜋𝑚4	PROPN
cana-3857	76	23	̍	̍	PROPN
cana-3857	76	24	,	,	PUNCT
cana-3857	76	25	)	)	PUNCT
cana-3857	76	26	,	,	PUNCT
cana-3857	76	27	(	(	PUNCT
cana-3857	76	28	𝜋𝑛1	𝜋𝑛1	PROPN
cana-3857	76	29	̍	̍	ADV
cana-3857	76	30	,	,	PUNCT
cana-3857	76	31	𝜋𝑛2	𝜋𝑛2	PROPN
cana-3857	76	32	̍	̍	PROPN
cana-3857	76	33	,	,	PUNCT
cana-3857	76	34	𝜋𝑛3	𝜋𝑛3	NUM
cana-3857	76	35	̍	̍	NOUN
cana-3857	76	36	,	,	PUNCT
cana-3857	76	37	𝜋𝑛4	𝜋𝑛4	NOUN
cana-3857	76	38	̍	̍	PROPN
cana-3857	76	39	)	)	PUNCT
cana-3857	76	40	;	;	PUNCT
cana-3857	77	1	𝜉𝐴	𝜉𝐴	PROPN
cana-3857	77	2	,	,	PUNCT
cana-3857	77	3	𝜓𝐴	𝜓𝐴	PROPN
cana-3857	77	4	}	}	PUNCT
cana-3857	77	5	if	if	SCONJ
cana-3857	77	6	π	π	PROPN
cana-3857	77	7	˃	˃	PROPN
cana-3857	77	8	0=	0=	PUNCT
cana-3857	77	9	{	{	PUNCT
cana-3857	77	10	(	(	PUNCT
cana-3857	77	11	𝜋𝑚4	𝜋𝑚4	PROPN
cana-3857	77	12	̍	̍	PROPN
cana-3857	77	13	,	,	PUNCT
cana-3857	77	14	𝜋𝑚3	𝜋𝑚3	NOUN
cana-3857	77	15	̍	̍	PROPN
cana-3857	77	16	,	,	PUNCT
cana-3857	77	17	𝜋𝑚2	𝜋𝑚2	PROPN
cana-3857	77	18	̍	̍	PROPN
cana-3857	77	19	,	,	PUNCT
cana-3857	77	20	𝜋𝑚1	𝜋𝑚1	ADJ
cana-3857	77	21	̍	̍	PROPN
cana-3857	77	22	,	,	PUNCT
cana-3857	77	23	)	)	PUNCT
cana-3857	77	24	,	,	PUNCT
cana-3857	77	25	(	(	PUNCT
cana-3857	77	26	𝜋𝑛4	𝜋𝑛4	NOUN
cana-3857	77	27	̍	̍	PROPN
cana-3857	77	28	,	,	PUNCT
cana-3857	77	29	𝜋𝑛3	𝜋𝑛3	NUM
cana-3857	77	30	̍	̍	ADJ
cana-3857	77	31	,	,	PUNCT
cana-3857	77	32	𝜋𝑛2	𝜋𝑛2	PROPN
cana-3857	77	33	̍	̍	PROPN
cana-3857	77	34	,	,	PUNCT
cana-3857	77	35	𝜋𝑛1	𝜋𝑛1	PROPN
cana-3857	77	36	̍	̍	PROPN
cana-3857	77	37	)	)	PUNCT
cana-3857	77	38	;	;	PUNCT
cana-3857	77	39	𝜉𝐴	𝜉𝐴	PROPN
cana-3857	77	40	,	,	PUNCT
cana-3857	77	41	𝜓𝐴	𝜓𝐴	PROPN
cana-3857	77	42	}	}	PUNCT
cana-3857	77	43	if	if	SCONJ
cana-3857	77	44	π	π	PROPN
cana-3857	77	45	˂	˂	PROPN
cana-3857	77	46	0	0	NUM
cana-3857	77	47	.	.	PUNCT
cana-3857	78	1	v	v	NOUN
cana-3857	78	2	)	)	PUNCT
cana-3857	78	3	division	division	NOUN
cana-3857	78	4	:	:	PUNCT
cana-3857	78	5	�	�	PROPN
cana-3857	78	6	̂	̂	PROPN
cana-3857	78	7	�	�	PROPN
cana-3857	78	8	÷	÷	SYM
cana-3857	78	9	�	�	PROPN
cana-3857	78	10	̂	̂	NUM
cana-3857	78	11	�	�	NOUN
cana-3857	78	12	=	=	SYM
cana-3857	78	13	{	{	PUNCT
cana-3857	78	14	(	(	PUNCT
cana-3857	78	15	𝑚1	𝑚1	PROPN
cana-3857	78	16	̍	̍	PROPN
cana-3857	78	17	÷	÷	PROPN
cana-3857	78	18	𝑝4	𝑝4	PROPN
cana-3857	78	19	̍	̍	PROPN
cana-3857	78	20	,	,	PUNCT
cana-3857	78	21	𝑚2	𝑚2	PROPN
cana-3857	78	22	̍	̍	PROPN
cana-3857	78	23	÷	÷	NUM
cana-3857	78	24	𝑝3	𝑝3	ADP
cana-3857	78	25	̍	̍	PROPN
cana-3857	78	26	,	,	PUNCT
cana-3857	78	27	𝑚3	𝑚3	NOUN
cana-3857	78	28	̍	̍	PROPN
cana-3857	78	29	÷	÷	PROPN
cana-3857	78	30	𝑝2	𝑝2	PROPN
cana-3857	78	31	̍	̍	PROPN
cana-3857	78	32	,	,	PUNCT
cana-3857	78	33	𝑚4	𝑚4	PROPN
cana-3857	78	34	̍	̍	PROPN
cana-3857	78	35	÷	÷	NUM
cana-3857	78	36	𝑝1)̍	𝑝1)̍	NOUN
cana-3857	78	37	(	(	PUNCT
cana-3857	78	38	𝑛1	𝑛1	PROPN
cana-3857	78	39	̍	̍	PROPN
cana-3857	78	40	÷	÷	NOUN
cana-3857	78	41	𝑞4	𝑞4	PROPN
cana-3857	78	42	̍	̍	PROPN
cana-3857	78	43	,	,	PUNCT
cana-3857	78	44	𝑛2	𝑛2	PROPN
cana-3857	78	45	̍	̍	PROPN
cana-3857	78	46	÷	÷	NOUN
cana-3857	78	47	𝑞3	𝑞3	PROPN
cana-3857	78	48	̍	̍	PROPN
cana-3857	78	49	,	,	PUNCT
cana-3857	78	50	𝑛3	𝑛3	PROPN
cana-3857	78	51	̍	̍	PROPN
cana-3857	78	52	÷	÷	NUM
cana-3857	78	53	𝑞2	𝑞2	PROPN
cana-3857	78	54	̍	̍	PROPN
cana-3857	78	55	,	,	PUNCT
cana-3857	78	56	𝑛4	𝑛4	NOUN
cana-3857	78	57	̍	̍	PROPN
cana-3857	78	58	÷	÷	PROPN
cana-3857	78	59	𝑞1	𝑞1	PROPN
cana-3857	78	60	̍	̍	PROPN
cana-3857	78	61	)	)	PUNCT
cana-3857	78	62	;	;	PUNCT
cana-3857	78	63	ξ	ξ	X
cana-3857	78	64	,	,	PUNCT
cana-3857	78	65	ψ	ψ	ADP
cana-3857	78	66	}	}	PUNCT
cana-3857	78	67	where	where	SCONJ
cana-3857	78	68	ξ	ξ	PROPN
cana-3857	78	69	=	=	SYM
cana-3857	78	70	min	min	PROPN
cana-3857	78	71	(	(	PUNCT
cana-3857	78	72	𝜉𝐴	𝜉𝐴	PROPN
cana-3857	78	73	,	,	PUNCT
cana-3857	78	74	𝜉𝐵	𝜉𝐵	NOUN
cana-3857	78	75	)	)	PUNCT
cana-3857	78	76	and	and	CCONJ
cana-3857	78	77	𝜓	𝜓	X
cana-3857	78	78	=	=	SYM
cana-3857	78	79	max	max	PROPN
cana-3857	78	80	(	(	PUNCT
cana-3857	78	81	𝜓𝐴	𝜓𝐴	PROPN
cana-3857	78	82	,	,	PUNCT
cana-3857	78	83	𝜓𝐵	𝜓𝐵	NOUN
cana-3857	78	84	)	)	PUNCT
cana-3857	78	85	.	.	PUNCT
cana-3857	79	1	let	let	VERB
cana-3857	79	2	�	�	SYM
cana-3857	79	3	̂	̂	VERB
cana-3857	79	4	�	�	NOUN
cana-3857	79	5	=	=	SYM
cana-3857	79	6	{	{	PUNCT
cana-3857	79	7	(	(	PUNCT
cana-3857	79	8	𝑚1	𝑚1	PROPN
cana-3857	79	9	̍	̍	PROPN
cana-3857	79	10	,	,	PUNCT
cana-3857	79	11	𝑚2	𝑚2	PROPN
cana-3857	79	12	̍	̍	PROPN
cana-3857	79	13	,	,	PUNCT
cana-3857	79	14	𝑚3	𝑚3	PROPN
cana-3857	79	15	̍	̍	PROPN
cana-3857	79	16	,	,	PUNCT
cana-3857	79	17	𝑚4	𝑚4	PROPN
cana-3857	79	18	̍	̍	PROPN
cana-3857	79	19	,	,	PUNCT
cana-3857	79	20	)	)	PUNCT
cana-3857	79	21	,	,	PUNCT
cana-3857	79	22	(	(	PUNCT
cana-3857	79	23	𝑛1	𝑛1	PROPN
cana-3857	79	24	̍	̍	PROPN
cana-3857	79	25	,	,	PUNCT
cana-3857	79	26	𝑛2	𝑛2	PROPN
cana-3857	79	27	̍	̍	PROPN
cana-3857	79	28	,	,	PUNCT
cana-3857	79	29	𝑛3	𝑛3	PROPN
cana-3857	79	30	̍	̍	PROPN
cana-3857	79	31	,	,	PUNCT
cana-3857	79	32	𝑛4	𝑛4	NOUN
cana-3857	79	33	̍	̍	PROPN
cana-3857	79	34	)	)	PUNCT
cana-3857	79	35	;	;	PUNCT
cana-3857	79	36	𝜉𝐴	𝜉𝐴	PROPN
cana-3857	79	37	,	,	PUNCT
cana-3857	79	38	𝜓𝐴	𝜓𝐴	PROPN
cana-3857	79	39	}	}	PUNCT
cana-3857	79	40	.	.	PUNCT
cana-3857	80	1	in	in	ADP
cana-3857	80	2	such	such	ADJ
cana-3857	80	3	c	c	NOUN
cana-3857	80	4	=	=	SYM
cana-3857	80	5	(	(	PUNCT
cana-3857	80	6	𝑚2	𝑚2	NOUN
cana-3857	80	7	̍	̍	NOUN
cana-3857	80	8	=	=	SYM
cana-3857	80	9	𝑚3	𝑚3	NOUN
cana-3857	80	10	̍	̍	PROPN
cana-3857	80	11	=	=	SYM
cana-3857	80	12	𝑛2	𝑛2	NOUN
cana-3857	80	13	̍	̍	PROPN
cana-3857	80	14	=	=	SYM
cana-3857	80	15	𝑛3	𝑛3	PROPN
cana-3857	80	16	̍	̍	PROPN
cana-3857	80	17	):	):	PUNCT
cana-3857	80	18	at	at	ADP
cana-3857	80	19	this	this	DET
cana-3857	80	20	point	point	NOUN
cana-3857	80	21	,	,	PUNCT
cana-3857	80	22	the	the	DET
cana-3857	80	23	membership	membership	NOUN
cana-3857	80	24	function	function	NOUN
cana-3857	80	25	is	be	AUX
cana-3857	80	26	described	describe	VERB
cana-3857	80	27	as	as	SCONJ
cana-3857	80	28	follows	follow	VERB
cana-3857	80	29	:	:	PUNCT
cana-3857	81	1	f(𝜒𝐶	f(𝜒𝐶	X
cana-3857	81	2	)	)	PUNCT
cana-3857	81	3	=	=	PUNCT
cana-3857	81	4	𝑥0̂	𝑥0̂	NOUN
cana-3857	81	5	,	,	PUNCT
cana-3857	81	6	𝑦0̂	𝑦0̂	PROPN
cana-3857	81	7	=	=	SYM
cana-3857	81	8	(	(	PUNCT
cana-3857	81	9	2𝑚1′	2𝑚1′	NUM
cana-3857	81	10	+	+	CCONJ
cana-3857	81	11	7𝑚2′	7𝑚2′	NUM
cana-3857	81	12	+	+	CCONJ
cana-3857	81	13	7𝑚3′	7𝑚3′	ADJ
cana-3857	81	14	+	+	CCONJ
cana-3857	81	15	2𝑚4′	2𝑚4′	NUM
cana-3857	81	16	18	18	NUM
cana-3857	81	17	)	)	PUNCT
cana-3857	81	18	∗	∗	NOUN
cana-3857	81	19	(	(	PUNCT
cana-3857	81	20	7𝜉𝐴	7𝜉𝐴	NUM
cana-3857	81	21	18	18	NUM
cana-3857	81	22	)	)	PUNCT
cana-3857	81	23	.	.	PUNCT
cana-3857	82	1	likewise	likewise	ADV
cana-3857	82	2	,	,	PUNCT
cana-3857	82	3	the	the	DET
cana-3857	82	4	non	non	ADJ
cana-3857	82	5	-	-	ADJ
cana-3857	82	6	membership	membership	ADJ
cana-3857	82	7	function	function	NOUN
cana-3857	82	8	is	be	AUX
cana-3857	82	9	described	describe	VERB
cana-3857	82	10	as	as	SCONJ
cana-3857	82	11	follows	follow	VERB
cana-3857	82	12	:	:	PUNCT
cana-3857	82	13	f(𝜑𝐶	f(𝜑𝐶	X
cana-3857	82	14	)	)	PUNCT
cana-3857	82	15	=	=	PUNCT
cana-3857	82	16	𝑥0̂	𝑥0̂	NOUN
cana-3857	82	17	,	,	PUNCT
cana-3857	82	18	𝑦0̂	𝑦0̂	PROPN
cana-3857	82	19	=	=	SYM
cana-3857	82	20	(	(	PUNCT
cana-3857	82	21	2𝑛1′	2𝑛1′	NUM
cana-3857	82	22	+	+	CCONJ
cana-3857	82	23	7𝑛2′	7𝑛2′	NUM
cana-3857	82	24	+	+	NUM
cana-3857	82	25	7𝑛3′	7𝑛3′	NUM
cana-3857	83	1	+	+	CCONJ
cana-3857	83	2	2𝑛4′	2𝑛4′	NUM
cana-3857	83	3	18	18	NUM
cana-3857	83	4	)	)	PUNCT
cana-3857	83	5	∗	∗	NOUN
cana-3857	83	6	(	(	PUNCT
cana-3857	83	7	11	11	NUM
cana-3857	83	8	+	+	CCONJ
cana-3857	83	9	7𝜓𝐴	7𝜓𝐴	NUM
cana-3857	83	10	18	18	NUM
cana-3857	83	11	)	)	PUNCT
cana-3857	83	12	.	.	PUNCT
cana-3857	84	1	then	then	ADV
cana-3857	84	2	,	,	PUNCT
cana-3857	84	3	utilizing	utilize	VERB
cana-3857	84	4	them	they	PRON
cana-3857	84	5	,	,	PUNCT
cana-3857	84	6	we	we	PRON
cana-3857	84	7	define	define	VERB
cana-3857	84	8	the	the	DET
cana-3857	84	9	rank	rank	NOUN
cana-3857	84	10	as	as	SCONJ
cana-3857	84	11	follows	follow	VERB
cana-3857	84	12	:	:	PUNCT
cana-3857	84	13	ℛ(c	ℛ(c	NUM
cana-3857	84	14	)	)	PUNCT
cana-3857	84	15	=	=	PUNCT
cana-3857	84	16	𝜉𝐴𝐹(𝜒𝐶	𝜉𝐴𝐹(𝜒𝐶	NUM
cana-3857	84	17	)	)	PUNCT
cana-3857	85	1	+	+	CCONJ
cana-3857	85	2	𝜓𝐴𝐹(𝜑𝐶	𝜓𝐴𝐹(𝜑𝐶	NOUN
cana-3857	85	3	)	)	PUNCT
cana-3857	86	1	𝜉𝐴	𝜉𝐴	NOUN
cana-3857	86	2	+	+	CCONJ
cana-3857	86	3	𝜓𝐴	𝜓𝐴	NOUN
cana-3857	86	4	.	.	PUNCT
cana-3857	87	1	for	for	ADP
cana-3857	87	2	the	the	DET
cana-3857	87	3	purpose	purpose	NOUN
cana-3857	87	4	of	of	ADP
cana-3857	87	5	comparing	compare	VERB
cana-3857	87	6	two	two	NUM
cana-3857	87	7	ranking	rank	VERB
cana-3857	87	8	generalized	generalize	VERB
cana-3857	87	9	intuitionistic	intuitionistic	ADJ
cana-3857	87	10	trapezoidal	trapezoidal	ADJ
cana-3857	87	11	fuzzy	fuzzy	ADJ
cana-3857	87	12	numbers	number	NOUN
cana-3857	87	13	,	,	PUNCT
cana-3857	87	14	�	�	PROPN
cana-3857	87	15	̂	̂	SYM
cana-3857	87	16	�	�	PROPN
cana-3857	87	17	and	and	CCONJ
cana-3857	87	18	�	�	PROPN
cana-3857	87	19	̂	̂	PROPN
cana-3857	87	20	�	�	PROPN
cana-3857	87	21	in	in	ADP
cana-3857	87	22	the	the	DET
cana-3857	87	23	ranking	ranking	NOUN
cana-3857	87	24	method	method	NOUN
cana-3857	87	25	.	.	PUNCT
cana-3857	88	1	communications	communication	NOUN
cana-3857	88	2	on	on	ADP
cana-3857	88	3	applied	apply	VERB
cana-3857	88	4	nonlinear	nonlinear	ADJ
cana-3857	88	5	analysis	analysis	NOUN
cana-3857	88	6	issn	issn	NOUN
cana-3857	88	7	:	:	PUNCT
cana-3857	88	8	1074	1074	NUM
cana-3857	88	9	-	-	PUNCT
cana-3857	88	10	133x	133x	NUM
cana-3857	88	11	vol	vol	NOUN
cana-3857	88	12	32	32	NUM
cana-3857	88	13	no	no	NOUN
cana-3857	88	14	.	.	PUNCT
cana-3857	89	1	9s	9s	NUM
cana-3857	89	2	(	(	PUNCT
cana-3857	89	3	2025	2025	NUM
cana-3857	89	4	)	)	PUNCT
cana-3857	89	5	302	302	NUM
cana-3857	89	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	89	7	i	i	PROPN
cana-3857	89	8	)	)	PUNCT
cana-3857	89	9	�	�	PROPN
cana-3857	89	10	̂	̂	PROPN
cana-3857	89	11	�	�	PROPN
cana-3857	89	12	>	>	SYM
cana-3857	89	13	�	�	PROPN
cana-3857	89	14	̂	̂	SYM
cana-3857	89	15	�	�	PROPN
cana-3857	89	16	if	if	SCONJ
cana-3857	89	17	ℛ	ℛ	PROPN
cana-3857	89	18	(	(	PUNCT
cana-3857	89	19	�	�	PROPN
cana-3857	89	20	̂	̂	NOUN
cana-3857	89	21	�	�	PROPN
cana-3857	89	22	)	)	PUNCT
cana-3857	89	23	>	>	X
cana-3857	89	24	ℛ	ℛ	PROPN
cana-3857	89	25	(	(	PUNCT
cana-3857	89	26	�	�	PROPN
cana-3857	89	27	̂	̂	NUM
cana-3857	89	28	�	�	NOUN
cana-3857	89	29	)	)	PUNCT
cana-3857	89	30	.	.	PUNCT
cana-3857	90	1	ii	ii	X
cana-3857	90	2	)	)	PUNCT
cana-3857	90	3	�	�	PROPN
cana-3857	90	4	̂	̂	SYM
cana-3857	90	5	�	�	PROPN
cana-3857	90	6	≤	≤	NUM
cana-3857	90	7	�	�	PROPN
cana-3857	90	8	̂	̂	SYM
cana-3857	90	9	�	�	PROPN
cana-3857	90	10	if	if	SCONJ
cana-3857	90	11	ℛ	ℛ	PROPN
cana-3857	90	12	(	(	PUNCT
cana-3857	90	13	�	�	PROPN
cana-3857	90	14	̂	̂	SYM
cana-3857	90	15	�	�	NOUN
cana-3857	90	16	)	)	PUNCT
cana-3857	90	17	≤	≤	NOUN
cana-3857	90	18	ℛ	ℛ	PROPN
cana-3857	90	19	(	(	PUNCT
cana-3857	90	20	�	�	PROPN
cana-3857	90	21	̂	̂	NUM
cana-3857	90	22	�	�	NOUN
cana-3857	90	23	)	)	PUNCT
cana-3857	90	24	.	.	PUNCT
cana-3857	90	25	iii	iii	X
cana-3857	90	26	)	)	PUNCT
cana-3857	90	27	�	�	PROPN
cana-3857	90	28	̂	̂	SYM
cana-3857	90	29	�	�	PROPN
cana-3857	90	30	=	=	SYM
cana-3857	90	31	�	�	PROPN
cana-3857	90	32	̂	̂	PROPN
cana-3857	90	33	�	�	PROPN
cana-3857	90	34	if	if	SCONJ
cana-3857	90	35	ℛ	ℛ	PROPN
cana-3857	90	36	(	(	PUNCT
cana-3857	90	37	�	�	PROPN
cana-3857	90	38	̂	̂	NOUN
cana-3857	90	39	�	�	NOUN
cana-3857	90	40	)	)	PUNCT
cana-3857	90	41	=	=	SYM
cana-3857	90	42	ℛ	ℛ	PROPN
cana-3857	90	43	(	(	PUNCT
cana-3857	90	44	�	�	PROPN
cana-3857	90	45	̂	̂	NUM
cana-3857	90	46	�	�	NOUN
cana-3857	90	47	)	)	PUNCT
cana-3857	90	48	.	.	PUNCT
cana-3857	91	1	4	4	X
cana-3857	91	2	.	.	X
cana-3857	91	3	problem	problem	NOUN
cana-3857	91	4	-	-	PUNCT
cana-3857	91	5	making	make	VERB
cana-3857	91	6	a	a	PRON
cana-3857	91	7	)	)	PUNCT
cana-3857	91	8	fractional	fractional	ADJ
cana-3857	91	9	transportation	transportation	NOUN
cana-3857	91	10	problem	problem	NOUN
cana-3857	91	11	(	(	PUNCT
cana-3857	91	12	ftp	ftp	PROPN
cana-3857	91	13	)	)	PUNCT
cana-3857	91	14	the	the	DET
cana-3857	91	15	ftp	ftp	NOUN
cana-3857	91	16	involves	involve	VERB
cana-3857	91	17	minimizing	minimize	VERB
cana-3857	91	18	interval	interval	NOUN
cana-3857	91	19	-	-	PUNCT
cana-3857	91	20	valued	value	VERB
cana-3857	91	21	objective	objective	ADJ
cana-3857	91	22	functions	function	NOUN
cana-3857	91	23	with	with	ADP
cana-3857	91	24	interval	interval	NOUN
cana-3857	91	25	costs	cost	NOUN
cana-3857	91	26	.	.	PUNCT
cana-3857	92	1	here	here	ADV
cana-3857	92	2	,	,	PUNCT
cana-3857	92	3	the	the	DET
cana-3857	92	4	objective	objective	ADJ
cana-3857	92	5	function	function	NOUN
cana-3857	92	6	coefficients	coefficient	VERB
cana-3857	93	1	𝐸𝑖𝑗	𝐸𝑖𝑗	ADJ
cana-3857	93	2	𝑣	𝑣	ADP
cana-3857	93	3	𝐹𝑖𝑗	𝐹𝑖𝑗	NOUN
cana-3857	93	4	𝑣	𝑣	NOUN
cana-3857	93	5	,	,	PUNCT
cana-3857	93	6	represent	represent	VERB
cana-3857	93	7	source	source	NOUN
cana-3857	93	8	parameters	parameter	NOUN
cana-3857	93	9	ci	ci	PROPN
cana-3857	93	10	and	and	CCONJ
cana-3857	93	11	destination	destination	NOUN
cana-3857	93	12	parameters	parameter	NOUN
cana-3857	93	13	dj	dj	VERB
cana-3857	93	14	,	,	PUNCT
cana-3857	93	15	while	while	SCONJ
cana-3857	93	16	ev	ev	INTJ
cana-3857	93	17	is	be	VERB
cana-3857	93	18	the	the	DET
cana-3857	93	19	conveyance	conveyance	NOUN
cana-3857	93	20	parameter	parameter	NOUN
cana-3857	93	21	.	.	PUNCT
cana-3857	94	1	these	these	DET
cana-3857	94	2	coefficients	coefficient	NOUN
cana-3857	94	3	are	be	AUX
cana-3857	94	4	in	in	ADP
cana-3857	94	5	interval	interval	NOUN
cana-3857	94	6	form	form	NOUN
cana-3857	94	7	,	,	PUNCT
cana-3857	94	8	where	where	SCONJ
cana-3857	94	9	ci	ci	NOUN
cana-3857	95	1	=	=	PUNCT
cana-3857	96	1	[	[	X
cana-3857	96	2	𝑔𝐿𝑖′	𝑔𝐿𝑖′	NOUN
cana-3857	96	3	,	,	PUNCT
cana-3857	96	4	𝑔𝑅𝑖′	𝑔𝑅𝑖′	VERB
cana-3857	96	5	]	]	PUNCT
cana-3857	96	6	for	for	ADP
cana-3857	96	7	(	(	PUNCT
cana-3857	96	8	i	i	NOUN
cana-3857	96	9	=	=	NOUN
cana-3857	96	10	1	1	NUM
cana-3857	96	11	,	,	PUNCT
cana-3857	96	12	2	2	NUM
cana-3857	96	13	,	,	PUNCT
cana-3857	96	14	,	,	PUNCT
cana-3857	96	15	..	..	PUNCT
cana-3857	96	16	,	,	PUNCT
cana-3857	96	17	p	p	X
cana-3857	96	18	)	)	PUNCT
cana-3857	96	19	and	and	CCONJ
cana-3857	96	20	dj	dj	X
cana-3857	96	21	=	=	PUNCT
cana-3857	97	1	[	[	X
cana-3857	97	2	ℎ𝐿𝑗′	ℎ𝐿𝑗′	PROPN
cana-3857	97	3	,	,	PUNCT
cana-3857	97	4	ℎ𝑅𝑗′	ℎ𝑅𝑗′	PROPN
cana-3857	97	5	]	]	PUNCT
cana-3857	97	6	,	,	PUNCT
cana-3857	97	7	for	for	ADP
cana-3857	97	8	(	(	PUNCT
cana-3857	97	9	j	j	NOUN
cana-3857	97	10	=	=	SYM
cana-3857	97	11	1	1	NUM
cana-3857	97	12	,	,	PUNCT
cana-3857	97	13	2	2	NUM
cana-3857	97	14	,	,	PUNCT
cana-3857	97	15	,	,	PUNCT
cana-3857	97	16	..	..	PUNCT
cana-3857	97	17	,	,	PUNCT
cana-3857	97	18	q	q	NOUN
cana-3857	97	19	)	)	PUNCT
cana-3857	97	20	.	.	PUNCT
cana-3857	98	1	the	the	DET
cana-3857	98	2	formulation	formulation	NOUN
cana-3857	98	3	is	be	AUX
cana-3857	98	4	as	as	SCONJ
cana-3857	98	5	follows	follow	VERB
cana-3857	98	6	:	:	PUNCT
cana-3857	98	7	min	min	PROPN
cana-3857	98	8	𝑍𝑣(𝑡𝑖𝑗	𝑍𝑣(𝑡𝑖𝑗	PROPN
cana-3857	98	9	∗	∗	NOUN
cana-3857	98	10	)	)	PUNCT
cana-3857	99	1	=	=	PUNCT
cana-3857	99	2	∑	∑	PUNCT
cana-3857	99	3	∑	∑	PUNCT
cana-3857	99	4	[	[	X
cana-3857	99	5	𝐸𝐿𝑖𝑗̍	𝐸𝐿𝑖𝑗̍	NOUN
cana-3857	99	6	𝑣	𝑣	NOUN
cana-3857	99	7	,	,	PUNCT
cana-3857	99	8	𝐸𝑅𝑖𝑗̍	𝐸𝑅𝑖𝑗̍	NOUN
cana-3857	99	9	𝑣𝑞	𝑣𝑞	PRON
cana-3857	99	10	𝑗=1	𝑗=1	PROPN
cana-3857	99	11	]	]	PUNCT
cana-3857	99	12	𝑡𝑖𝑗	𝑡𝑖𝑗	NOUN
cana-3857	99	13	∗	∗	NOUN
cana-3857	99	14	+	+	CCONJ
cana-3857	99	15	𝛿	𝛿	PROPN
cana-3857	99	16	𝑝	𝑝	NOUN
cana-3857	99	17	𝑖=1	𝑖=1	PUNCT
cana-3857	99	18	∑	∑	PROPN
cana-3857	99	19	∑	∑	PUNCT
cana-3857	100	1	[	[	X
cana-3857	100	2	𝐹𝐿𝑖𝑗̍	𝐹𝐿𝑖𝑗̍	NOUN
cana-3857	100	3	𝑣	𝑣	NOUN
cana-3857	100	4	,	,	PUNCT
cana-3857	100	5	𝐹𝑅𝑖𝑗̍	𝐹𝑅𝑖𝑗̍	NOUN
cana-3857	100	6	𝑣𝑞	𝑣𝑞	PRON
cana-3857	100	7	𝑗=1	𝑗=1	NOUN
cana-3857	100	8	]	]	PUNCT
cana-3857	100	9	𝑡𝑖𝑗	𝑡𝑖𝑗	NOUN
cana-3857	100	10	∗	∗	NOUN
cana-3857	100	11	+	+	CCONJ
cana-3857	100	12	𝜖	𝜖	PROPN
cana-3857	100	13	𝑝	𝑝	PROPN
cana-3857	100	14	𝑖=1	𝑖=1	PROPN
cana-3857	100	15	,	,	PUNCT
cana-3857	100	16	𝑣	𝑣	X
cana-3857	100	17	=	=	SYM
cana-3857	100	18	1	1	NUM
cana-3857	100	19	,	,	PUNCT
cana-3857	100	20	2	2	NUM
cana-3857	100	21	,	,	PUNCT
cana-3857	100	22	,	,	PUNCT
cana-3857	100	23	.	.	PUNCT
cana-3857	100	24	.	.	PUNCT
cana-3857	101	1	,	,	PUNCT
cana-3857	101	2	𝑉	𝑉	PROPN
cana-3857	101	3	subject	subject	NOUN
cana-3857	101	4	to	to	ADP
cana-3857	101	5	the	the	DET
cana-3857	101	6	constraints	constraint	NOUN
cana-3857	101	7	∑𝑡𝑖𝑗	∑𝑡𝑖𝑗	PUNCT
cana-3857	101	8	∗	∗	NOUN
cana-3857	101	9	𝑞	𝑞	X
cana-3857	101	10	𝑗=1	𝑗=1	PROPN
cana-3857	101	11	=	=	SYM
cana-3857	101	12	𝐶𝑖	𝐶𝑖	PROPN
cana-3857	101	13	=	=	PUNCT
cana-3857	102	1	[	[	X
cana-3857	102	2	𝑔𝐿𝑖′	𝑔𝐿𝑖′	NOUN
cana-3857	102	3	,	,	PUNCT
cana-3857	102	4	𝑔𝑅𝑖′	𝑔𝑅𝑖′	PROPN
cana-3857	102	5	]	]	X
cana-3857	102	6	,	,	PUNCT
cana-3857	102	7	(	(	PUNCT
cana-3857	102	8	𝑖	𝑖	SYM
cana-3857	102	9	=	=	SYM
cana-3857	102	10	1,2	1,2	NUM
cana-3857	102	11	,	,	PUNCT
cana-3857	102	12	,	,	PUNCT
cana-3857	102	13	.	.	PUNCT
cana-3857	102	14	.	.	PUNCT
cana-3857	103	1	,	,	PUNCT
cana-3857	103	2	𝑝	𝑝	NOUN
cana-3857	103	3	)	)	PUNCT
cana-3857	103	4	∑𝑡𝑖𝑗	∑𝑡𝑖𝑗	NOUN
cana-3857	103	5	∗	∗	VERB
cana-3857	103	6	𝑝	𝑝	NOUN
cana-3857	103	7	𝑖=1	𝑖=1	PUNCT
cana-3857	103	8	=	=	PUNCT
cana-3857	103	9	𝐷𝑗	𝐷𝑗	NOUN
cana-3857	103	10	=	=	PUNCT
cana-3857	104	1	[	[	X
cana-3857	104	2	ℎ𝐿𝑗′,ℎ𝑅𝑗′	ℎ𝐿𝑗′,ℎ𝑅𝑗′	X
cana-3857	104	3	]	]	X
cana-3857	104	4	,	,	PUNCT
cana-3857	104	5	(	(	PUNCT
cana-3857	104	6	𝑗	𝑗	NOUN
cana-3857	104	7	=	=	SYM
cana-3857	104	8	1,2	1,2	NUM
cana-3857	104	9	,	,	PUNCT
cana-3857	104	10	,	,	PUNCT
cana-3857	104	11	.	.	PUNCT
cana-3857	104	12	.	.	PUNCT
cana-3857	105	1	,	,	PUNCT
cana-3857	105	2	𝑞	𝑞	PROPN
cana-3857	105	3	)	)	PUNCT
cana-3857	105	4	𝑡𝑖𝑗	𝑡𝑖𝑗	NOUN
cana-3857	105	5	≥	≥	NOUN
cana-3857	105	6	0	0	NUM
cana-3857	105	7	,	,	PUNCT
cana-3857	105	8	∀	∀	PUNCT
cana-3857	106	1	i	i	NOUN
cana-3857	106	2	,	,	PUNCT
cana-3857	106	3	j.	j.	PROPN
cana-3857	106	4	a	a	DET
cana-3857	106	5	necessary	necessary	ADJ
cana-3857	106	6	and	and	CCONJ
cana-3857	106	7	sufficient	sufficient	ADJ
cana-3857	106	8	condition	condition	NOUN
cana-3857	106	9	for	for	ADP
cana-3857	106	10	the	the	DET
cana-3857	106	11	existence	existence	NOUN
cana-3857	106	12	of	of	ADP
cana-3857	106	13	a	a	DET
cana-3857	106	14	feasible	feasible	ADJ
cana-3857	106	15	solution	solution	NOUN
cana-3857	106	16	is	be	AUX
cana-3857	106	17	the	the	DET
cana-3857	106	18	balanced	balanced	ADJ
cana-3857	106	19	criterion	criterion	NOUN
cana-3857	106	20	.	.	PUNCT
cana-3857	107	1	[	[	X
cana-3857	107	2	𝐸	𝐸	PROPN
cana-3857	107	3	𝐿𝑖𝑗	𝐿𝑖𝑗	PROPN
cana-3857	107	4	′	′	NUM
cana-3857	107	5	𝑣	𝑣	ADP
cana-3857	107	6	,	,	PUNCT
cana-3857	107	7	𝐸	𝐸	PROPN
cana-3857	107	8	𝑅𝑖𝑗	𝑅𝑖𝑗	PROPN
cana-3857	107	9	′	′	NOUN
cana-3857	107	10	𝑣	𝑣	X
cana-3857	107	11	]	]	X
cana-3857	108	1	[	[	X
cana-3857	108	2	𝐹	𝐹	PROPN
cana-3857	108	3	𝐿𝑖𝑗	𝐿𝑖𝑗	PROPN
cana-3857	108	4	′	′	NUM
cana-3857	108	5	𝑣	𝑣	ADP
cana-3857	108	6	,	,	PUNCT
cana-3857	108	7	𝐹	𝐹	PROPN
cana-3857	108	8	𝑅𝑖𝑗	𝑅𝑖𝑗	PROPN
cana-3857	108	9	′	′	NOUN
cana-3857	108	10	𝑣	𝑣	X
cana-3857	108	11	]	]	PUNCT
cana-3857	108	12	,	,	PUNCT
cana-3857	108	13	(	(	PUNCT
cana-3857	108	14	𝑣	𝑣	NOUN
cana-3857	108	15	=	=	SYM
cana-3857	108	16	1	1	NUM
cana-3857	108	17	,	,	PUNCT
cana-3857	108	18	2	2	NUM
cana-3857	108	19	,	,	PUNCT
cana-3857	108	20	,	,	PUNCT
cana-3857	108	21	.	.	PUNCT
cana-3857	108	22	.	.	PUNCT
cana-3857	108	23	,	,	PUNCT
cana-3857	108	24	𝑉	𝑉	PROPN
cana-3857	108	25	)	)	PUNCT
cana-3857	108	26	,	,	PUNCT
cana-3857	108	27	𝑊𝑖𝑗	𝑊𝑖𝑗	PROPN
cana-3857	108	28	𝑣	𝑣	ADP
cana-3857	108	29	=	=	PUNCT
cana-3857	109	1	[	[	X
cana-3857	109	2	𝑊	𝑊	PROPN
cana-3857	109	3	𝐿𝑖𝑗	𝐿𝑖𝑗	PROPN
cana-3857	109	4	′	′	NUM
cana-3857	109	5	𝑣	𝑣	ADP
cana-3857	109	6	,	,	PUNCT
cana-3857	109	7	𝑊	𝑊	PROPN
cana-3857	109	8	𝑅𝑖𝑗	𝑅𝑖𝑗	PROPN
cana-3857	109	9	′	′	NUM
cana-3857	109	10	𝑣	𝑣	X
cana-3857	109	11	]	]	X
cana-3857	109	12	=	=	PUNCT
cana-3857	110	1	𝐸𝑖𝑗	𝐸𝑖𝑗	ADJ
cana-3857	110	2	𝑣	𝑣	ADP
cana-3857	110	3	𝐹𝑖𝑗	𝐹𝑖𝑗	PRON
cana-3857	110	4	𝑣	𝑣	NOUN
cana-3857	110	5	=	=	PUNCT
cana-3857	111	1	[	[	X
cana-3857	111	2	𝐸	𝐸	PROPN
cana-3857	111	3	𝐿𝑖𝑗	𝐿𝑖𝑗	PROPN
cana-3857	111	4	′	′	NUM
cana-3857	111	5	𝑣	𝑣	ADP
cana-3857	111	6	,	,	PUNCT
cana-3857	111	7	𝐸	𝐸	PROPN
cana-3857	111	8	𝑅𝑖𝑗	𝑅𝑖𝑗	PROPN
cana-3857	112	1	′	′	NOUN
cana-3857	112	2	𝑣	𝑣	X
cana-3857	112	3	]	]	X
cana-3857	113	1	[	[	X
cana-3857	113	2	𝐹	𝐹	PROPN
cana-3857	113	3	𝐿𝑖𝑗	𝐿𝑖𝑗	PROPN
cana-3857	113	4	′	′	NUM
cana-3857	113	5	𝑣	𝑣	ADP
cana-3857	113	6	,	,	PUNCT
cana-3857	113	7	𝐹	𝐹	PROPN
cana-3857	113	8	𝑅𝑖𝑗	𝑅𝑖𝑗	PROPN
cana-3857	113	9	′	′	NUM
cana-3857	113	10	𝑣	𝑣	X
cana-3857	113	11	]	]	PUNCT
cana-3857	113	12	represents	represent	VERB
cana-3857	113	13	the	the	DET
cana-3857	113	14	uncertain	uncertain	ADJ
cana-3857	113	15	cost	cost	NOUN
cana-3857	113	16	interval	interval	NOUN
cana-3857	113	17	for	for	ADP
cana-3857	113	18	the	the	DET
cana-3857	113	19	transportation	transportation	NOUN
cana-3857	113	20	problem	problem	NOUN
cana-3857	113	21	.	.	PUNCT
cana-3857	114	1	b.	b.	PROPN
cana-3857	114	2	type	type	NOUN
cana-3857	114	3	2	2	NUM
cana-3857	114	4	intuitionistic	intuitionistic	ADJ
cana-3857	114	5	fuzzy	fuzzy	ADJ
cana-3857	114	6	fractional	fractional	ADJ
cana-3857	114	7	transportation	transportation	NOUN
cana-3857	114	8	problem	problem	NOUN
cana-3857	114	9	the	the	DET
cana-3857	114	10	proposed	propose	VERB
cana-3857	114	11	strategy	strategy	NOUN
cana-3857	114	12	effectively	effectively	ADV
cana-3857	114	13	determines	determine	VERB
cana-3857	114	14	the	the	DET
cana-3857	114	15	optimal	optimal	ADJ
cana-3857	114	16	solution	solution	NOUN
cana-3857	114	17	for	for	ADP
cana-3857	114	18	an	an	DET
cana-3857	114	19	intuitionistic	intuitionistic	ADJ
cana-3857	114	20	fuzzy	fuzzy	ADJ
cana-3857	114	21	fractional	fractional	ADJ
cana-3857	114	22	transportation	transportation	NOUN
cana-3857	114	23	problem	problem	NOUN
cana-3857	114	24	with	with	ADP
cana-3857	114	25	real	real	ADJ
cana-3857	114	26	demand	demand	NOUN
cana-3857	114	27	,	,	PUNCT
cana-3857	114	28	supply	supply	NOUN
cana-3857	114	29	,	,	PUNCT
cana-3857	114	30	and	and	CCONJ
cana-3857	114	31	transportation	transportation	NOUN
cana-3857	114	32	costs	cost	NOUN
cana-3857	114	33	𝑒𝑖𝑗	𝑒𝑖𝑗	NOUN
cana-3857	114	34	𝑙	𝑙	DET
cana-3857	114	35	𝑓𝑖𝑗	𝑓𝑖𝑗	NOUN
cana-3857	114	36	𝑙	𝑙	X
cana-3857	114	37	where	where	SCONJ
cana-3857	114	38	i	i	PRON
cana-3857	114	39	=	=	NOUN
cana-3857	114	40	1	1	NUM
cana-3857	114	41	,	,	PUNCT
cana-3857	114	42	2	2	NUM
cana-3857	114	43	,	,	PUNCT
cana-3857	114	44	...	...	PUNCT
cana-3857	115	1	p	p	NOUN
cana-3857	115	2	and	and	CCONJ
cana-3857	115	3	j	j	PROPN
cana-3857	115	4	=	=	SYM
cana-3857	115	5	1	1	NUM
cana-3857	115	6	,	,	PUNCT
cana-3857	115	7	2	2	NUM
cana-3857	115	8	,	,	PUNCT
cana-3857	115	9	...	...	PUNCT
cana-3857	115	10	q	q	PUNCT
cana-3857	116	1	from	from	ADP
cana-3857	116	2	the	the	DET
cana-3857	116	3	ith	ith	PROPN
cana-3857	116	4	source	source	NOUN
cana-3857	116	5	to	to	ADP
cana-3857	116	6	the	the	DET
cana-3857	116	7	jth	jth	PROPN
cana-3857	116	8	destination	destination	NOUN
cana-3857	116	9	,	,	PUNCT
cana-3857	116	10	as	as	SCONJ
cana-3857	116	11	outlined	outline	VERB
cana-3857	116	12	in	in	ADP
cana-3857	116	13	table	table	NOUN
cana-3857	116	14	1	1	NUM
cana-3857	116	15	.	.	PUNCT
cana-3857	116	16	communications	communication	NOUN
cana-3857	116	17	on	on	ADP
cana-3857	116	18	applied	apply	VERB
cana-3857	116	19	nonlinear	nonlinear	ADJ
cana-3857	116	20	analysis	analysis	NOUN
cana-3857	116	21	issn	issn	NOUN
cana-3857	116	22	:	:	PUNCT
cana-3857	116	23	1074	1074	NUM
cana-3857	116	24	-	-	PUNCT
cana-3857	116	25	133x	133x	NUM
cana-3857	116	26	vol	vol	NOUN
cana-3857	116	27	32	32	NUM
cana-3857	116	28	no	no	NOUN
cana-3857	116	29	.	.	PUNCT
cana-3857	117	1	9s	9s	NUM
cana-3857	117	2	(	(	PUNCT
cana-3857	117	3	2025	2025	NUM
cana-3857	117	4	)	)	PUNCT
cana-3857	117	5	303	303	NUM
cana-3857	117	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	118	1	we	we	PRON
cana-3857	118	2	calculate	calculate	VERB
cana-3857	118	3	the	the	DET
cana-3857	118	4	optimum	optimum	ADJ
cana-3857	118	5	solutions	solution	NOUN
cana-3857	118	6	for	for	ADP
cana-3857	118	7	the	the	DET
cana-3857	118	8	numerator	numerator	NOUN
cana-3857	118	9	and	and	CCONJ
cana-3857	118	10	denominator	denominator	NOUN
cana-3857	118	11	separately	separately	ADV
cana-3857	118	12	,	,	PUNCT
cana-3857	118	13	then	then	ADV
cana-3857	118	14	divide	divide	VERB
cana-3857	118	15	the	the	DET
cana-3857	118	16	results	result	NOUN
cana-3857	118	17	to	to	PART
cana-3857	118	18	obtain	obtain	VERB
cana-3857	118	19	the	the	DET
cana-3857	118	20	optimal	optimal	ADJ
cana-3857	118	21	solution	solution	NOUN
cana-3857	118	22	for	for	ADP
cana-3857	118	23	the	the	DET
cana-3857	118	24	t2ifftp	t2ifftp	PROPN
cana-3857	118	25	.	.	PROPN
cana-3857	118	26	5	5	NUM
cana-3857	118	27	.	.	X
cana-3857	118	28	algorithm	algorithm	NOUN
cana-3857	118	29	this	this	DET
cana-3857	118	30	section	section	NOUN
cana-3857	118	31	discusses	discuss	VERB
cana-3857	118	32	our	our	PRON
cana-3857	118	33	proposed	propose	VERB
cana-3857	118	34	algorithm	algorithm	NOUN
cana-3857	118	35	.	.	PUNCT
cana-3857	119	1	influenced	influence	VERB
cana-3857	119	2	by	by	ADP
cana-3857	119	3	the	the	DET
cana-3857	119	4	research	research	NOUN
cana-3857	119	5	of	of	ADP
cana-3857	119	6	[	[	X
cana-3857	119	7	11	11	NUM
cana-3857	119	8	]	]	PUNCT
cana-3857	119	9	.	.	PUNCT
cana-3857	120	1	the	the	DET
cana-3857	120	2	following	follow	VERB
cana-3857	120	3	is	be	AUX
cana-3857	120	4	a	a	DET
cana-3857	120	5	list	list	NOUN
cana-3857	120	6	of	of	ADP
cana-3857	120	7	the	the	DET
cana-3857	120	8	stages	stage	NOUN
cana-3857	120	9	that	that	PRON
cana-3857	120	10	have	have	VERB
cana-3857	120	11	to	to	PART
cana-3857	120	12	be	be	AUX
cana-3857	120	13	taken	take	VERB
cana-3857	120	14	to	to	PART
cana-3857	120	15	determine	determine	VERB
cana-3857	120	16	the	the	DET
cana-3857	120	17	optimal	optimal	ADJ
cana-3857	120	18	solution	solution	NOUN
cana-3857	120	19	.	.	PUNCT
cana-3857	121	1	step	step	NOUN
cana-3857	121	2	1	1	NUM
cana-3857	121	3	:	:	PUNCT
cana-3857	121	4	identify	identify	VERB
cana-3857	121	5	the	the	DET
cana-3857	121	6	two	two	NUM
cana-3857	121	7	cells	cell	NOUN
cana-3857	121	8	with	with	ADP
cana-3857	121	9	the	the	DET
cana-3857	121	10	lowest	low	ADJ
cana-3857	121	11	cost	cost	NOUN
cana-3857	121	12	and	and	CCONJ
cana-3857	121	13	the	the	DET
cana-3857	121	14	next	next	ADJ
cana-3857	121	15	lowest	low	ADJ
cana-3857	121	16	cost	cost	NOUN
cana-3857	121	17	in	in	ADP
cana-3857	121	18	each	each	DET
cana-3857	121	19	row	row	NOUN
cana-3857	121	20	for	for	ADP
cana-3857	121	21	the	the	DET
cana-3857	121	22	t2ifftp	t2ifftp	PROPN
cana-3857	121	23	.	.	PROPN
cana-3857	121	24	calculate	calculate	VERB
cana-3857	121	25	their	their	PRON
cana-3857	121	26	difference	difference	NOUN
cana-3857	121	27	(	(	PUNCT
cana-3857	121	28	penalty	penalty	NOUN
cana-3857	121	29	)	)	PUNCT
cana-3857	121	30	along	along	ADP
cana-3857	121	31	the	the	DET
cana-3857	121	32	side	side	NOUN
cana-3857	121	33	of	of	ADP
cana-3857	121	34	the	the	DET
cana-3857	121	35	table	table	NOUN
cana-3857	121	36	against	against	ADP
cana-3857	121	37	the	the	DET
cana-3857	121	38	corresponding	corresponding	ADJ
cana-3857	121	39	row	row	NOUN
cana-3857	121	40	.	.	PUNCT
cana-3857	122	1	repeat	repeat	VERB
cana-3857	122	2	the	the	DET
cana-3857	122	3	same	same	ADJ
cana-3857	122	4	process	process	NOUN
cana-3857	122	5	for	for	ADP
cana-3857	122	6	the	the	DET
cana-3857	122	7	columns	column	NOUN
cana-3857	122	8	.	.	PUNCT
cana-3857	123	1	step	step	NOUN
cana-3857	123	2	2	2	NUM
cana-3857	123	3	:	:	PUNCT
cana-3857	123	4	select	select	VERB
cana-3857	123	5	the	the	DET
cana-3857	123	6	highest	high	ADJ
cana-3857	123	7	penalty	penalty	NOUN
cana-3857	123	8	from	from	ADP
cana-3857	123	9	each	each	DET
cana-3857	123	10	column	column	NOUN
cana-3857	123	11	and	and	CCONJ
cana-3857	123	12	row	row	NOUN
cana-3857	123	13	.	.	PUNCT
cana-3857	124	1	in	in	ADP
cana-3857	124	2	the	the	DET
cana-3857	124	3	case	case	NOUN
cana-3857	124	4	of	of	ADP
cana-3857	124	5	a	a	DET
cana-3857	124	6	tie	tie	NOUN
cana-3857	124	7	,	,	PUNCT
cana-3857	124	8	use	use	VERB
cana-3857	124	9	the	the	DET
cana-3857	124	10	tiebreaking	tiebreake	VERB
cana-3857	124	11	option	option	NOUN
cana-3857	124	12	.	.	PUNCT
cana-3857	125	1	choose	choose	VERB
cana-3857	125	2	a	a	DET
cana-3857	125	3	row	row	NOUN
cana-3857	125	4	or	or	CCONJ
cana-3857	125	5	column	column	NOUN
cana-3857	125	6	.	.	PUNCT
cana-3857	126	1	continue	continue	VERB
cana-3857	126	2	this	this	DET
cana-3857	126	3	process	process	NOUN
cana-3857	126	4	until	until	ADP
cana-3857	126	5	each	each	DET
cana-3857	126	6	row	row	NOUN
cana-3857	126	7	or	or	CCONJ
cana-3857	126	8	column	column	NOUN
cana-3857	126	9	has	have	VERB
cana-3857	126	10	a	a	DET
cana-3857	126	11	value	value	NOUN
cana-3857	126	12	assigned	assign	VERB
cana-3857	126	13	to	to	ADP
cana-3857	126	14	it	it	PRON
cana-3857	126	15	.	.	PUNCT
cana-3857	127	1	step	step	NOUN
cana-3857	127	2	3	3	NUM
cana-3857	127	3	:	:	PUNCT
cana-3857	127	4	let	let	VERB
cana-3857	127	5	𝐴𝑖𝑗	𝐴𝑖𝑗	PROPN
cana-3857	127	6	∗	∗	NOUN
cana-3857	127	7	be	be	AUX
cana-3857	127	8	the	the	DET
cana-3857	127	9	assignment	assignment	NOUN
cana-3857	127	10	cost	cost	NOUN
cana-3857	127	11	for	for	ADP
cana-3857	127	12	column	column	NOUN
cana-3857	127	13	j.	j.	PROPN
cana-3857	127	14	calculating	calculate	VERB
cana-3857	127	15	each	each	DET
cana-3857	127	16	cost	cost	NOUN
cana-3857	127	17	𝑐𝑗	𝑐𝑗	ADP
cana-3857	127	18	∗	∗	NOUN
cana-3857	127	19	in	in	ADP
cana-3857	127	20	the	the	DET
cana-3857	127	21	relevant	relevant	ADJ
cana-3857	127	22	cost	cost	NOUN
cana-3857	127	23	matrix	matrix	NOUN
cana-3857	127	24	column	column	NOUN
cana-3857	127	25	by	by	ADP
cana-3857	127	26	subtracting	subtract	VERB
cana-3857	127	27	𝐴𝑖𝑗	𝐴𝑖𝑗	PROPN
cana-3857	127	28	∗	∗	NOUN
cana-3857	127	29	.	.	PUNCT
cana-3857	128	1	step	step	NOUN
cana-3857	128	2	4	4	NUM
cana-3857	128	3	:	:	PUNCT
cana-3857	128	4	identify	identify	VERB
cana-3857	128	5	a	a	DET
cana-3857	128	6	rectangle	rectangle	NOUN
cana-3857	128	7	for	for	ADP
cana-3857	128	8	every	every	DET
cana-3857	128	9	unassigned	unassigned	ADJ
cana-3857	128	10	cell	cell	NOUN
cana-3857	128	11	,	,	PUNCT
cana-3857	128	12	with	with	ADP
cana-3857	128	13	two	two	NUM
cana-3857	128	14	corners	corner	NOUN
cana-3857	128	15	assigned	assign	VERB
cana-3857	128	16	and	and	CCONJ
cana-3857	128	17	the	the	DET
cana-3857	128	18	other	other	ADJ
cana-3857	128	19	two	two	NUM
cana-3857	128	20	corners	corner	NOUN
cana-3857	128	21	unassigned	unassigned	ADJ
cana-3857	128	22	.	.	PUNCT
cana-3857	129	1	calculate	calculate	VERB
cana-3857	129	2	the	the	DET
cana-3857	129	3	value	value	NOUN
cana-3857	129	4	of	of	ADP
cana-3857	129	5	𝑑𝑖𝑗	𝑑𝑖𝑗	NOUN
cana-3857	129	6	̍	̍	ADP
cana-3857	129	7	by	by	ADP
cana-3857	129	8	summing	sum	VERB
cana-3857	129	9	the	the	DET
cana-3857	129	10	diagonals	diagonal	NOUN
cana-3857	129	11	of	of	ADP
cana-3857	129	12	the	the	DET
cana-3857	129	13	nonassigned	nonassigned	ADJ
cana-3857	129	14	cells	cell	NOUN
cana-3857	129	15	.	.	PUNCT
cana-3857	130	1	if	if	SCONJ
cana-3857	130	2	all	all	DET
cana-3857	130	3	𝑑𝑖𝑗	𝑑𝑖𝑗	VERB
cana-3857	130	4	̍	̍	X
cana-3857	130	5	are	be	AUX
cana-3857	130	6	positive	positive	ADJ
cana-3857	130	7	,	,	PUNCT
cana-3857	130	8	proceed	proceed	VERB
cana-3857	130	9	to	to	PART
cana-3857	130	10	stage	stage	VERB
cana-3857	130	11	6	6	NUM
cana-3857	130	12	.	.	PUNCT
cana-3857	131	1	otherwise	otherwise	ADV
cana-3857	131	2	,	,	PUNCT
cana-3857	131	3	move	move	VERB
cana-3857	131	4	to	to	PART
cana-3857	131	5	stage	stage	VERB
cana-3857	131	6	5	5	NUM
cana-3857	131	7	.	.	PUNCT
cana-3857	131	8	step	step	NOUN
cana-3857	131	9	5	5	NUM
cana-3857	131	10	:	:	PUNCT
cana-3857	131	11	select	select	VERB
cana-3857	131	12	the	the	DET
cana-3857	131	13	most	most	ADV
cana-3857	131	14	negative	negative	ADJ
cana-3857	131	15	𝑑𝑖𝑗	𝑑𝑖𝑗	NOUN
cana-3857	131	16	and	and	CCONJ
cana-3857	131	17	exchange	exchange	VERB
cana-3857	131	18	the	the	DET
cana-3857	131	19	assigned	assign	VERB
cana-3857	131	20	cell	cell	NOUN
cana-3857	131	21	of	of	ADP
cana-3857	131	22	the	the	DET
cana-3857	131	23	diagonals	diagonal	NOUN
cana-3857	131	24	.	.	PUNCT
cana-3857	132	1	repeat	repeat	VERB
cana-3857	132	2	the	the	DET
cana-3857	132	3	process	process	NOUN
cana-3857	132	4	until	until	ADP
cana-3857	132	5	all	all	DET
cana-3857	132	6	𝑑𝑖𝑗	𝑑𝑖𝑗	ADJ
cana-3857	132	7	̍	̍	NOUN
cana-3857	132	8	˃	˃	NOUN
cana-3857	132	9	0	0	NUM
cana-3857	132	10	.	.	PUNCT
cana-3857	133	1	step	step	NOUN
cana-3857	133	2	6	6	NUM
cana-3857	133	3	:	:	PUNCT
cana-3857	133	4	allocate	allocate	VERB
cana-3857	133	5	the	the	DET
cana-3857	133	6	maximum	maximum	ADJ
cana-3857	133	7	feasible	feasible	ADJ
cana-3857	133	8	amount	amount	NOUN
cana-3857	133	9	from	from	ADP
cana-3857	133	10	the	the	DET
cana-3857	133	11	given	give	VERB
cana-3857	133	12	supplies	supply	NOUN
cana-3857	133	13	and	and	CCONJ
cana-3857	133	14	demands	demand	NOUN
cana-3857	133	15	to	to	ADP
cana-3857	133	16	the	the	DET
cana-3857	133	17	assigned	assign	VERB
cana-3857	133	18	cells	cell	NOUN
cana-3857	133	19	.	.	PUNCT
cana-3857	134	1	for	for	ADP
cana-3857	134	2	non	non	ADJ
cana-3857	134	3	-	-	ADJ
cana-3857	134	4	assigned	assign	VERB
cana-3857	134	5	cells	cell	NOUN
cana-3857	134	6	,	,	PUNCT
cana-3857	134	7	allocate	allocate	VERB
cana-3857	134	8	the	the	DET
cana-3857	134	9	remaining	remain	VERB
cana-3857	134	10	supply	supply	NOUN
cana-3857	134	11	and	and	CCONJ
cana-3857	134	12	demand	demand	NOUN
cana-3857	134	13	to	to	ADP
cana-3857	134	14	the	the	DET
cana-3857	134	15	cell	cell	NOUN
cana-3857	134	16	with	with	ADP
cana-3857	134	17	the	the	DET
cana-3857	134	18	lowest	low	ADJ
cana-3857	134	19	cost	cost	NOUN
cana-3857	134	20	.	.	PUNCT
cana-3857	135	1	continue	continue	VERB
cana-3857	135	2	this	this	DET
cana-3857	135	3	process	process	NOUN
cana-3857	135	4	until	until	SCONJ
cana-3857	135	5	there	there	PRON
cana-3857	135	6	is	be	VERB
cana-3857	135	7	no	no	DET
cana-3857	135	8	more	more	ADJ
cana-3857	135	9	supply	supply	NOUN
cana-3857	135	10	or	or	CCONJ
cana-3857	135	11	demand	demand	NOUN
cana-3857	135	12	.	.	PUNCT
cana-3857	136	1	step	step	NOUN
cana-3857	136	2	7	7	NUM
cana-3857	136	3	:	:	PUNCT
cana-3857	136	4	once	once	SCONJ
cana-3857	136	5	the	the	DET
cana-3857	136	6	problem	problem	NOUN
cana-3857	136	7	has	have	VERB
cana-3857	136	8	(	(	PUNCT
cana-3857	136	9	m+n-1	m+n-1	NOUN
cana-3857	136	10	)	)	PUNCT
cana-3857	136	11	basic	basic	ADJ
cana-3857	136	12	variables	variable	NOUN
cana-3857	136	13	,	,	PUNCT
cana-3857	136	14	the	the	DET
cana-3857	136	15	initial	initial	ADJ
cana-3857	136	16	basic	basic	ADJ
cana-3857	136	17	feasible	feasible	ADJ
cana-3857	136	18	solution	solution	NOUN
cana-3857	136	19	is	be	AUX
cana-3857	136	20	found	find	VERB
cana-3857	136	21	.	.	PUNCT
cana-3857	137	1	communications	communication	NOUN
cana-3857	137	2	on	on	ADP
cana-3857	137	3	applied	apply	VERB
cana-3857	137	4	nonlinear	nonlinear	ADJ
cana-3857	137	5	analysis	analysis	NOUN
cana-3857	137	6	issn	issn	NOUN
cana-3857	137	7	:	:	PUNCT
cana-3857	137	8	1074	1074	NUM
cana-3857	137	9	-	-	PUNCT
cana-3857	137	10	133x	133x	NUM
cana-3857	137	11	vol	vol	NOUN
cana-3857	137	12	32	32	NUM
cana-3857	137	13	no	no	NOUN
cana-3857	137	14	.	.	PUNCT
cana-3857	138	1	9s	9s	NUM
cana-3857	138	2	(	(	PUNCT
cana-3857	138	3	2025	2025	NUM
cana-3857	138	4	)	)	PUNCT
cana-3857	138	5	304	304	NUM
cana-3857	138	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	138	7	step	step	NOUN
cana-3857	138	8	8	8	NUM
cana-3857	138	9	:	:	PUNCT
cana-3857	138	10	we	we	PRON
cana-3857	138	11	determined	determine	VERB
cana-3857	138	12	the	the	DET
cana-3857	138	13	optimal	optimal	ADJ
cana-3857	138	14	value	value	NOUN
cana-3857	138	15	using	use	VERB
cana-3857	138	16	stage	stage	NOUN
cana-3857	138	17	7	7	NUM
cana-3857	138	18	,	,	PUNCT
cana-3857	138	19	and	and	CCONJ
cana-3857	138	20	the	the	DET
cana-3857	138	21	optimal	optimal	ADJ
cana-3857	138	22	value	value	NOUN
cana-3857	138	23	of	of	ADP
cana-3857	138	24	a	a	DET
cana-3857	138	25	fuzzy	fuzzy	ADJ
cana-3857	138	26	fractional	fractional	ADJ
cana-3857	138	27	intuitionistic	intuitionistic	NOUN
cana-3857	138	28	is	be	AUX
cana-3857	138	29	=	=	PUNCT
cana-3857	138	30	∑	∑	PUNCT
cana-3857	138	31	∑	∑	PUNCT
cana-3857	138	32	(	(	PUNCT
cana-3857	138	33	𝑒𝑖𝑗	𝑒𝑖𝑗	NOUN
cana-3857	138	34	𝑙	𝑙	PRON
cana-3857	138	35	𝑓𝑖𝑗	𝑓𝑖𝑗	ADJ
cana-3857	138	36	𝑙	𝑙	NOUN
cana-3857	138	37	)	)	PUNCT
cana-3857	138	38	∗	∗	NOUN
cana-3857	138	39	(	(	PUNCT
cana-3857	138	40	𝑡𝑖𝑗	𝑡𝑖𝑗	NOUN
cana-3857	138	41	∗𝑞	∗𝑞	VERB
cana-3857	138	42	𝑗=1	𝑗=1	PROPN
cana-3857	138	43	𝑝	𝑝	PROPN
cana-3857	138	44	𝑖=1	𝑖=1	PROPN
cana-3857	138	45	)	)	PUNCT
cana-3857	138	46	.	.	PUNCT
cana-3857	139	1	6	6	X
cana-3857	139	2	.	.	X
cana-3857	139	3	numerical	numerical	ADJ
cana-3857	139	4	illustration	illustration	NOUN
cana-3857	139	5	according	accord	VERB
cana-3857	139	6	to	to	ADP
cana-3857	139	7	[	[	X
cana-3857	139	8	2	2	NUM
cana-3857	139	9	]	]	PUNCT
cana-3857	139	10	,	,	PUNCT
cana-3857	139	11	the	the	DET
cana-3857	139	12	t2tifftp	t2tifftp	NOUN
cana-3857	139	13	is	be	AUX
cana-3857	139	14	applied	apply	VERB
cana-3857	139	15	to	to	PART
cana-3857	139	16	confirm	confirm	VERB
cana-3857	139	17	the	the	DET
cana-3857	139	18	results	result	NOUN
cana-3857	139	19	of	of	ADP
cana-3857	139	20	the	the	DET
cana-3857	139	21	proposed	propose	VERB
cana-3857	139	22	computational	computational	ADJ
cana-3857	139	23	approach	approach	NOUN
cana-3857	139	24	.	.	PUNCT
cana-3857	140	1	first	first	ADV
cana-3857	140	2	,	,	PUNCT
cana-3857	140	3	we	we	PRON
cana-3857	140	4	ascertained	ascertain	VERB
cana-3857	140	5	the	the	DET
cana-3857	140	6	numerator	numerator	NOUN
cana-3857	140	7	’s	’s	PART
cana-3857	140	8	values	value	NOUN
cana-3857	140	9	.	.	PUNCT
cana-3857	141	1	these	these	PRON
cana-3857	141	2	are	be	AUX
cana-3857	141	3	the	the	DET
cana-3857	141	4	steps	step	NOUN
cana-3857	141	5	that	that	PRON
cana-3857	141	6	are	be	AUX
cana-3857	141	7	provided	provide	VERB
cana-3857	141	8	.	.	PUNCT
cana-3857	142	1	determine	determine	VERB
cana-3857	142	2	the	the	DET
cana-3857	142	3	penalties	penalty	NOUN
cana-3857	142	4	for	for	ADP
cana-3857	142	5	each	each	DET
cana-3857	142	6	row	row	NOUN
cana-3857	142	7	and	and	CCONJ
cana-3857	142	8	column	column	NOUN
cana-3857	142	9	,	,	PUNCT
cana-3857	142	10	then	then	ADV
cana-3857	142	11	apply	apply	VERB
cana-3857	142	12	the	the	DET
cana-3857	142	13	corresponding	correspond	VERB
cana-3857	142	14	penalty	penalty	NOUN
cana-3857	142	15	to	to	ADP
cana-3857	142	16	each	each	DET
cana-3857	142	17	row	row	NOUN
cana-3857	142	18	and	and	CCONJ
cana-3857	142	19	column	column	NOUN
cana-3857	142	20	as	as	SCONJ
cana-3857	142	21	shown	show	VERB
cana-3857	142	22	in	in	ADP
cana-3857	142	23	the	the	DET
cana-3857	142	24	table	table	NOUN
cana-3857	142	25	.	.	PUNCT
cana-3857	143	1	communications	communication	NOUN
cana-3857	143	2	on	on	ADP
cana-3857	143	3	applied	apply	VERB
cana-3857	143	4	nonlinear	nonlinear	ADJ
cana-3857	143	5	analysis	analysis	NOUN
cana-3857	143	6	issn	issn	NOUN
cana-3857	143	7	:	:	PUNCT
cana-3857	143	8	1074	1074	NUM
cana-3857	143	9	-	-	PUNCT
cana-3857	143	10	133x	133x	NUM
cana-3857	143	11	vol	vol	NOUN
cana-3857	143	12	32	32	NUM
cana-3857	143	13	no	no	NOUN
cana-3857	143	14	.	.	PUNCT
cana-3857	144	1	9s	9s	NUM
cana-3857	144	2	(	(	PUNCT
cana-3857	144	3	2025	2025	NUM
cana-3857	144	4	)	)	PUNCT
cana-3857	144	5	305	305	NUM
cana-3857	144	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	144	7	the	the	DET
cana-3857	144	8	maximum	maximum	ADJ
cana-3857	144	9	penalty	penalty	NOUN
cana-3857	144	10	in	in	ADP
cana-3857	144	11	this	this	DET
cana-3857	144	12	case	case	NOUN
cana-3857	144	13	is	be	AUX
cana-3857	144	14	seen	see	VERB
cana-3857	144	15	in	in	ADP
cana-3857	144	16	the	the	DET
cana-3857	144	17	second	second	ADJ
cana-3857	144	18	column	column	NOUN
cana-3857	144	19	.	.	PUNCT
cana-3857	145	1	choose	choose	VERB
cana-3857	145	2	the	the	DET
cana-3857	145	3	column	column	NOUN
cana-3857	145	4	to	to	PART
cana-3857	145	5	assign	assign	VERB
cana-3857	145	6	the	the	DET
cana-3857	145	7	smallest	small	ADJ
cana-3857	145	8	intuitionistic	intuitionistic	ADJ
cana-3857	145	9	fuzzy	fuzzy	ADJ
cana-3857	145	10	number	number	NOUN
cana-3857	145	11	(	(	PUNCT
cana-3857	145	12	shown	show	VERB
cana-3857	145	13	in	in	ADP
cana-3857	145	14	bold	bold	ADJ
cana-3857	145	15	)	)	PUNCT
cana-3857	145	16	to	to	ADP
cana-3857	145	17	that	that	DET
cana-3857	145	18	column	column	NOUN
cana-3857	145	19	.	.	PUNCT
cana-3857	146	1	after	after	ADP
cana-3857	146	2	assigning	assign	VERB
cana-3857	146	3	,	,	PUNCT
cana-3857	146	4	eliminate	eliminate	VERB
cana-3857	146	5	the	the	DET
cana-3857	146	6	matching	matching	NOUN
cana-3857	146	7	row	row	NOUN
cana-3857	146	8	and	and	CCONJ
cana-3857	146	9	column	column	NOUN
cana-3857	146	10	.	.	PUNCT
cana-3857	147	1	the	the	DET
cana-3857	147	2	remaining	remain	VERB
cana-3857	147	3	matrix	matrix	NOUN
cana-3857	147	4	is	be	AUX
cana-3857	147	5	obtained	obtain	VERB
cana-3857	147	6	by	by	ADP
cana-3857	147	7	eliminating	eliminate	VERB
cana-3857	147	8	the	the	DET
cana-3857	147	9	first	first	ADJ
cana-3857	147	10	row	row	NOUN
cana-3857	147	11	and	and	CCONJ
cana-3857	147	12	second	second	ADJ
cana-3857	147	13	column	column	NOUN
cana-3857	147	14	.	.	PUNCT
cana-3857	148	1	to	to	PART
cana-3857	148	2	obtain	obtain	VERB
cana-3857	148	3	table	table	NOUN
cana-3857	148	4	4	4	NUM
cana-3857	148	5	,	,	PUNCT
cana-3857	148	6	proceed	proceed	VERB
cana-3857	148	7	with	with	ADP
cana-3857	148	8	steps	step	NOUN
cana-3857	148	9	1	1	NUM
cana-3857	148	10	and	and	CCONJ
cana-3857	148	11	2	2	NUM
cana-3857	148	12	.	.	X
cana-3857	148	13	repeat	repeat	VERB
cana-3857	148	14	the	the	DET
cana-3857	148	15	process	process	NOUN
cana-3857	148	16	until	until	ADP
cana-3857	148	17	each	each	DET
cana-3857	148	18	row	row	NOUN
cana-3857	148	19	or	or	CCONJ
cana-3857	148	20	column	column	NOUN
cana-3857	148	21	has	have	VERB
cana-3857	148	22	a	a	DET
cana-3857	148	23	value	value	NOUN
cana-3857	148	24	assigned	assign	VERB
cana-3857	148	25	to	to	ADP
cana-3857	148	26	it	it	PRON
cana-3857	148	27	.	.	PUNCT
cana-3857	149	1	subtracting	subtract	VERB
cana-3857	149	2	the	the	DET
cana-3857	149	3	allocated	allocate	VERB
cana-3857	149	4	cost	cost	NOUN
cana-3857	149	5	from	from	ADP
cana-3857	149	6	each	each	DET
cana-3857	149	7	element	element	NOUN
cana-3857	149	8	in	in	ADP
cana-3857	149	9	the	the	DET
cana-3857	149	10	relevant	relevant	ADJ
cana-3857	149	11	column	column	NOUN
cana-3857	149	12	.	.	PUNCT
cana-3857	150	1	for	for	ADP
cana-3857	150	2	every	every	DET
cana-3857	150	3	non	non	ADJ
cana-3857	150	4	-	-	ADJ
cana-3857	150	5	assigned	assign	VERB
cana-3857	150	6	cell	cell	NOUN
cana-3857	150	7	,	,	PUNCT
cana-3857	150	8	communications	communication	NOUN
cana-3857	150	9	on	on	ADP
cana-3857	150	10	applied	apply	VERB
cana-3857	150	11	nonlinear	nonlinear	ADJ
cana-3857	150	12	analysis	analysis	NOUN
cana-3857	150	13	issn	issn	NOUN
cana-3857	150	14	:	:	PUNCT
cana-3857	150	15	1074	1074	NUM
cana-3857	150	16	-	-	PUNCT
cana-3857	150	17	133x	133x	NUM
cana-3857	150	18	vol	vol	NOUN
cana-3857	150	19	32	32	NUM
cana-3857	150	20	no	no	NOUN
cana-3857	150	21	.	.	PUNCT
cana-3857	151	1	9s	9s	NUM
cana-3857	151	2	(	(	PUNCT
cana-3857	151	3	2025	2025	NUM
cana-3857	151	4	)	)	PUNCT
cana-3857	151	5	306	306	NUM
cana-3857	151	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	151	7	given	give	VERB
cana-3857	151	8	that	that	SCONJ
cana-3857	151	9	all	all	PRON
cana-3857	151	10	of	of	ADP
cana-3857	151	11	the	the	DET
cana-3857	151	12	𝑑𝑖𝑗	𝑑𝑖𝑗	NOUN
cana-3857	151	13	̍	̍	PROPN
cana-3857	151	14	˃	˃	PROPN
cana-3857	151	15	0	0	NUM
cana-3857	151	16	,	,	PUNCT
cana-3857	151	17	the	the	DET
cana-3857	151	18	assignments	assignment	NOUN
cana-3857	151	19	are	be	AUX
cana-3857	151	20	optimal	optimal	ADJ
cana-3857	151	21	.	.	PUNCT
cana-3857	152	1	the	the	DET
cana-3857	152	2	optimal	optimal	ADJ
cana-3857	152	3	solution	solution	NOUN
cana-3857	152	4	for	for	ADP
cana-3857	152	5	the	the	DET
cana-3857	152	6	numerator	numerator	NOUN
cana-3857	152	7	is	be	AUX
cana-3857	152	8	the	the	DET
cana-3857	152	9	optimal	optimal	ADJ
cana-3857	152	10	transportation	transportation	NOUN
cana-3857	152	11	cost	cost	NOUN
cana-3857	152	12	for	for	ADP
cana-3857	152	13	the	the	DET
cana-3857	152	14	numerator	numerator	NOUN
cana-3857	152	15	is	be	AUX
cana-3857	152	16	(	(	PUNCT
cana-3857	152	17	(	(	PUNCT
cana-3857	152	18	4,5,5,7)(2,5,5,9);0.6,0.3	4,5,5,7)(2,5,5,9);0.6,0.3	NOUN
cana-3857	152	19	)	)	PUNCT
cana-3857	152	20	×	×	NOUN
cana-3857	152	21	2	2	NUM
cana-3857	152	22	+	+	CCONJ
cana-3857	152	23	(	(	PUNCT
cana-3857	152	24	(	(	PUNCT
cana-3857	152	25	3,4,4,7)(1,4,4,8);0.5,0.1	3,4,4,7)(1,4,4,8);0.5,0.1	NOUN
cana-3857	152	26	)	)	PUNCT
cana-3857	152	27	×	×	NOUN
cana-3857	152	28	12	12	NUM
cana-3857	152	29	+	+	CCONJ
cana-3857	152	30	(	(	PUNCT
cana-3857	152	31	(	(	PUNCT
cana-3857	152	32	4,6,6,10)(2,6,6,12);0.5,0.3	4,6,6,10)(2,6,6,12);0.5,0.3	NOUN
cana-3857	152	33	)	)	PUNCT
cana-3857	152	34	×	×	NOUN
cana-3857	152	35	15	15	NUM
cana-3857	152	36	+	+	CCONJ
cana-3857	152	37	(	(	PUNCT
cana-3857	152	38	(	(	PUNCT
cana-3857	152	39	7,10,10,13	7,10,10,13	NUM
cana-3857	152	40	)	)	PUNCT
cana-3857	152	41	(	(	PUNCT
cana-3857	152	42	6,10,10,15);0.7,0.2	6,10,10,15);0.7,0.2	NUM
cana-3857	152	43	)	)	PUNCT
cana-3857	152	44	×	×	NOUN
cana-3857	152	45	1	1	NUM
cana-3857	152	46	+	+	CCONJ
cana-3857	152	47	(	(	PUNCT
cana-3857	152	48	(	(	PUNCT
cana-3857	152	49	7,10,10,14)(6,10,10,15);0.8,0.5	7,10,10,14)(6,10,10,15);0.8,0.5	NUM
cana-3857	152	50	)	)	PUNCT
cana-3857	152	51	×	×	NOUN
cana-3857	152	52	12	12	NUM
cana-3857	152	53	+	+	CCONJ
cana-3857	152	54	(	(	PUNCT
cana-3857	152	55	(	(	PUNCT
cana-3857	152	56	6,10,10,12	6,10,10,12	NUM
cana-3857	152	57	)	)	PUNCT
cana-3857	152	58	(	(	PUNCT
cana-3857	152	59	5,10,10,13	5,10,10,13	NUM
cana-3857	152	60	)	)	PUNCT
cana-3857	152	61	;	;	PUNCT
cana-3857	152	62	0.6,0.1	0.6,0.1	PROPN
cana-3857	152	63	)	)	PUNCT
cana-3857	152	64	×	×	NOUN
cana-3857	152	65	2	2	NUM
cana-3857	152	66	+	+	CCONJ
cana-3857	152	67	(	(	PUNCT
cana-3857	152	68	(	(	PUNCT
cana-3857	152	69	8,10,10,12)(7,10,10,14);0.7,0.5	8,10,10,12)(7,10,10,14);0.7,0.5	NUM
cana-3857	152	70	)	)	PUNCT
cana-3857	152	71	×	×	NOUN
cana-3857	152	72	8	8	NUM
cana-3857	152	73	=	=	SYM
cana-3857	152	74	(	(	PUNCT
cana-3857	152	75	(	(	PUNCT
cana-3857	152	76	271,378,378,549)(190,378,378,627);0.5,0.5	271,378,378,549)(190,378,378,627);0.5,0.5	NUM
cana-3857	152	77	)	)	PUNCT
cana-3857	152	78	.	.	PUNCT
cana-3857	153	1	subsequently	subsequently	ADV
cana-3857	153	2	,	,	PUNCT
cana-3857	153	3	we	we	PRON
cana-3857	153	4	ascertained	ascertain	VERB
cana-3857	153	5	the	the	DET
cana-3857	153	6	denominator	denominator	NOUN
cana-3857	153	7	’s	’s	PART
cana-3857	153	8	value	value	NOUN
cana-3857	153	9	.	.	PUNCT
cana-3857	154	1	these	these	PRON
cana-3857	154	2	are	be	AUX
cana-3857	154	3	the	the	DET
cana-3857	154	4	tables	table	NOUN
cana-3857	154	5	that	that	PRON
cana-3857	154	6	are	be	AUX
cana-3857	154	7	provided	provide	VERB
cana-3857	154	8	.	.	PUNCT
cana-3857	155	1	for	for	ADP
cana-3857	155	2	the	the	DET
cana-3857	155	3	denominator	denominator	NOUN
cana-3857	155	4	,	,	PUNCT
cana-3857	155	5	the	the	DET
cana-3857	155	6	following	follow	VERB
cana-3857	155	7	steps	step	NOUN
cana-3857	155	8	are	be	AUX
cana-3857	155	9	listed	list	VERB
cana-3857	155	10	:	:	PUNCT
cana-3857	155	11	communications	communication	NOUN
cana-3857	155	12	on	on	ADP
cana-3857	155	13	applied	apply	VERB
cana-3857	155	14	nonlinear	nonlinear	ADJ
cana-3857	155	15	analysis	analysis	NOUN
cana-3857	155	16	issn	issn	NOUN
cana-3857	155	17	:	:	PUNCT
cana-3857	155	18	1074	1074	NUM
cana-3857	155	19	-	-	PUNCT
cana-3857	155	20	133x	133x	NUM
cana-3857	155	21	vol	vol	NOUN
cana-3857	155	22	32	32	NUM
cana-3857	156	1	no	no	NOUN
cana-3857	156	2	.	.	PUNCT
cana-3857	157	1	9s	9s	NUM
cana-3857	157	2	(	(	PUNCT
cana-3857	157	3	2025	2025	NUM
cana-3857	157	4	)	)	PUNCT
cana-3857	157	5	307	307	NUM
cana-3857	158	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	158	2	determine	determine	VERB
cana-3857	158	3	the	the	DET
cana-3857	158	4	penalties	penalty	NOUN
cana-3857	158	5	for	for	ADP
cana-3857	158	6	each	each	DET
cana-3857	158	7	row	row	NOUN
cana-3857	158	8	and	and	CCONJ
cana-3857	158	9	column	column	NOUN
cana-3857	158	10	,	,	PUNCT
cana-3857	158	11	then	then	ADV
cana-3857	158	12	apply	apply	VERB
cana-3857	158	13	the	the	DET
cana-3857	158	14	corresponding	correspond	VERB
cana-3857	158	15	penalty	penalty	NOUN
cana-3857	158	16	to	to	ADP
cana-3857	158	17	each	each	DET
cana-3857	158	18	row	row	NOUN
cana-3857	158	19	and	and	CCONJ
cana-3857	158	20	column	column	NOUN
cana-3857	158	21	as	as	SCONJ
cana-3857	158	22	shown	show	VERB
cana-3857	158	23	in	in	ADP
cana-3857	158	24	the	the	DET
cana-3857	158	25	table	table	NOUN
cana-3857	158	26	.	.	PUNCT
cana-3857	159	1	the	the	DET
cana-3857	159	2	maximum	maximum	ADJ
cana-3857	159	3	penalty	penalty	NOUN
cana-3857	159	4	in	in	ADP
cana-3857	159	5	this	this	DET
cana-3857	159	6	case	case	NOUN
cana-3857	159	7	is	be	AUX
cana-3857	159	8	seen	see	VERB
cana-3857	159	9	in	in	ADP
cana-3857	159	10	the	the	DET
cana-3857	159	11	fourth	fourth	ADJ
cana-3857	159	12	row	row	NOUN
cana-3857	159	13	.	.	PUNCT
cana-3857	160	1	choose	choose	VERB
cana-3857	160	2	the	the	DET
cana-3857	160	3	row	row	NOUN
cana-3857	160	4	to	to	PART
cana-3857	160	5	assign	assign	VERB
cana-3857	160	6	the	the	DET
cana-3857	160	7	smallest	small	ADJ
cana-3857	160	8	intuitionistic	intuitionistic	ADJ
cana-3857	160	9	fuzzy	fuzzy	ADJ
cana-3857	160	10	number	number	NOUN
cana-3857	160	11	(	(	PUNCT
cana-3857	160	12	shown	show	VERB
cana-3857	160	13	in	in	ADP
cana-3857	160	14	bold	bold	ADJ
cana-3857	160	15	)	)	PUNCT
cana-3857	160	16	to	to	ADP
cana-3857	160	17	that	that	DET
cana-3857	160	18	row	row	NOUN
cana-3857	160	19	.	.	PUNCT
cana-3857	161	1	after	after	ADP
cana-3857	161	2	assigning	assign	VERB
cana-3857	161	3	,	,	PUNCT
cana-3857	161	4	eliminate	eliminate	VERB
cana-3857	161	5	the	the	DET
cana-3857	161	6	matching	matching	NOUN
cana-3857	161	7	row	row	NOUN
cana-3857	161	8	and	and	CCONJ
cana-3857	161	9	column	column	NOUN
cana-3857	161	10	.	.	PUNCT
cana-3857	162	1	communications	communication	NOUN
cana-3857	162	2	on	on	ADP
cana-3857	162	3	applied	apply	VERB
cana-3857	162	4	nonlinear	nonlinear	ADJ
cana-3857	162	5	analysis	analysis	NOUN
cana-3857	162	6	issn	issn	NOUN
cana-3857	162	7	:	:	PUNCT
cana-3857	162	8	1074	1074	NUM
cana-3857	162	9	-	-	PUNCT
cana-3857	162	10	133x	133x	NUM
cana-3857	162	11	vol	vol	NOUN
cana-3857	162	12	32	32	NUM
cana-3857	162	13	no	no	NOUN
cana-3857	162	14	.	.	PUNCT
cana-3857	163	1	9s	9s	NUM
cana-3857	163	2	(	(	PUNCT
cana-3857	163	3	2025	2025	NUM
cana-3857	163	4	)	)	PUNCT
cana-3857	163	5	308	308	NUM
cana-3857	163	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	164	1	the	the	DET
cana-3857	164	2	remaining	remain	VERB
cana-3857	164	3	matrix	matrix	NOUN
cana-3857	164	4	is	be	AUX
cana-3857	164	5	obtained	obtain	VERB
cana-3857	164	6	by	by	ADP
cana-3857	164	7	eliminating	eliminate	VERB
cana-3857	164	8	the	the	DET
cana-3857	164	9	fourth	fourth	ADJ
cana-3857	164	10	row	row	NOUN
cana-3857	164	11	and	and	CCONJ
cana-3857	164	12	first	first	ADJ
cana-3857	164	13	column	column	NOUN
cana-3857	164	14	.	.	PUNCT
cana-3857	165	1	to	to	PART
cana-3857	165	2	obtain	obtain	VERB
cana-3857	165	3	table	table	NOUN
cana-3857	165	4	9	9	NUM
cana-3857	165	5	,	,	PUNCT
cana-3857	165	6	proceed	proceed	VERB
cana-3857	165	7	with	with	ADP
cana-3857	165	8	steps	step	NOUN
cana-3857	165	9	1	1	NUM
cana-3857	165	10	and	and	CCONJ
cana-3857	165	11	2	2	NUM
cana-3857	165	12	.	.	X
cana-3857	165	13	repeat	repeat	VERB
cana-3857	165	14	the	the	DET
cana-3857	165	15	process	process	NOUN
cana-3857	165	16	until	until	ADP
cana-3857	165	17	each	each	DET
cana-3857	165	18	row	row	NOUN
cana-3857	165	19	or	or	CCONJ
cana-3857	165	20	column	column	NOUN
cana-3857	165	21	has	have	VERB
cana-3857	165	22	a	a	DET
cana-3857	165	23	value	value	NOUN
cana-3857	165	24	assigned	assign	VERB
cana-3857	165	25	to	to	ADP
cana-3857	165	26	it	it	PRON
cana-3857	165	27	.	.	PUNCT
cana-3857	166	1	subtracting	subtract	VERB
cana-3857	166	2	the	the	DET
cana-3857	166	3	allocated	allocate	VERB
cana-3857	166	4	cost	cost	NOUN
cana-3857	166	5	from	from	ADP
cana-3857	166	6	each	each	DET
cana-3857	166	7	element	element	NOUN
cana-3857	166	8	in	in	ADP
cana-3857	166	9	the	the	DET
cana-3857	166	10	relevant	relevant	ADJ
cana-3857	166	11	column	column	NOUN
cana-3857	166	12	.	.	PUNCT
cana-3857	167	1	for	for	ADP
cana-3857	167	2	every	every	DET
cana-3857	167	3	non	non	ADJ
cana-3857	167	4	assigned	assign	VERB
cana-3857	167	5	cell	cell	NOUN
cana-3857	167	6	,	,	PUNCT
cana-3857	167	7	communications	communication	NOUN
cana-3857	167	8	on	on	ADP
cana-3857	167	9	applied	apply	VERB
cana-3857	167	10	nonlinear	nonlinear	ADJ
cana-3857	167	11	analysis	analysis	NOUN
cana-3857	167	12	issn	issn	NOUN
cana-3857	167	13	:	:	PUNCT
cana-3857	167	14	1074	1074	NUM
cana-3857	167	15	-	-	PUNCT
cana-3857	167	16	133x	133x	NUM
cana-3857	167	17	vol	vol	NOUN
cana-3857	167	18	32	32	NUM
cana-3857	167	19	no	no	NOUN
cana-3857	167	20	.	.	PUNCT
cana-3857	168	1	9s	9s	NUM
cana-3857	168	2	(	(	PUNCT
cana-3857	168	3	2025	2025	NUM
cana-3857	168	4	)	)	PUNCT
cana-3857	168	5	309	309	NUM
cana-3857	168	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	168	7	given	give	VERB
cana-3857	168	8	that	that	SCONJ
cana-3857	168	9	all	all	PRON
cana-3857	168	10	of	of	ADP
cana-3857	168	11	the	the	DET
cana-3857	168	12	assignments	assignment	NOUN
cana-3857	168	13	are	be	AUX
cana-3857	168	14	optimal	optimal	ADJ
cana-3857	168	15	.	.	PUNCT
cana-3857	169	1	the	the	DET
cana-3857	169	2	optimal	optimal	ADJ
cana-3857	169	3	solution	solution	NOUN
cana-3857	169	4	for	for	ADP
cana-3857	169	5	the	the	DET
cana-3857	169	6	denominator	denominator	NOUN
cana-3857	169	7	is	be	AUX
cana-3857	169	8	the	the	DET
cana-3857	169	9	optimal	optimal	ADJ
cana-3857	169	10	transportation	transportation	NOUN
cana-3857	169	11	cost	cost	NOUN
cana-3857	169	12	for	for	ADP
cana-3857	169	13	the	the	DET
cana-3857	169	14	denominator	denominator	NOUN
cana-3857	169	15	is	be	AUX
cana-3857	169	16	(	(	PUNCT
cana-3857	169	17	(	(	PUNCT
cana-3857	169	18	5,7,7,10)(4,7,7,12);0.4,0.2	5,7,7,10)(4,7,7,12);0.4,0.2	NUM
cana-3857	169	19	)	)	PUNCT
cana-3857	169	20	×	×	NOUN
cana-3857	169	21	12	12	NUM
cana-3857	169	22	+	+	CCONJ
cana-3857	169	23	(	(	PUNCT
cana-3857	169	24	(	(	PUNCT
cana-3857	169	25	5,6,6,9)(4,6,6,12);0.6,0.3	5,6,6,9)(4,6,6,12);0.6,0.3	NUM
cana-3857	169	26	)	)	PUNCT
cana-3857	169	27	×	×	NOUN
cana-3857	169	28	2	2	NUM
cana-3857	169	29	+	+	CCONJ
cana-3857	169	30	(	(	PUNCT
cana-3857	169	31	(	(	PUNCT
cana-3857	169	32	2,5,5,6)(1,5,5,8);0.5,0.2	2,5,5,6)(1,5,5,8);0.5,0.2	NOUN
cana-3857	169	33	)	)	PUNCT
cana-3857	169	34	×	×	NOUN
cana-3857	169	35	11	11	NUM
cana-3857	169	36	+	+	CCONJ
cana-3857	169	37	(	(	PUNCT
cana-3857	169	38	(	(	PUNCT
cana-3857	169	39	9,12,12,14	9,12,12,14	NUM
cana-3857	169	40	)	)	PUNCT
cana-3857	169	41	(	(	PUNCT
cana-3857	169	42	7,12,12,16);0.3,0.1	7,12,12,16);0.3,0.1	NOUN
cana-3857	169	43	)	)	PUNCT
cana-3857	169	44	×	×	NOUN
cana-3857	169	45	1	1	NUM
cana-3857	169	46	+	+	CCONJ
cana-3857	169	47	(	(	PUNCT
cana-3857	169	48	(	(	PUNCT
cana-3857	169	49	7,8,8,10)(5,8,8,11);0.4,0.2	7,8,8,10)(5,8,8,11);0.4,0.2	NOUN
cana-3857	169	50	)	)	PUNCT
cana-3857	169	51	×	×	NOUN
cana-3857	169	52	4	4	NUM
cana-3857	169	53	+	+	CCONJ
cana-3857	169	54	(	(	PUNCT
cana-3857	169	55	(	(	PUNCT
cana-3857	169	56	3,4,4,6)(2,4,4,7	3,4,4,6)(2,4,4,7	NUM
cana-3857	169	57	)	)	PUNCT
cana-3857	169	58	;	;	PUNCT
cana-3857	169	59	0.5,0.3	0.5,0.3	PROPN
cana-3857	169	60	)	)	PUNCT
cana-3857	169	61	×	×	NOUN
cana-3857	169	62	7	7	NUM
cana-3857	169	63	+	+	CCONJ
cana-3857	169	64	(	(	PUNCT
cana-3857	169	65	(	(	PUNCT
cana-3857	169	66	2,4,4,5)(1,4,4,9);0.7,0.5	2,4,4,5)(1,4,4,9);0.7,0.5	NUM
cana-3857	169	67	)	)	PUNCT
cana-3857	169	68	×	×	NOUN
cana-3857	169	69	1	1	NUM
cana-3857	169	70	=	=	SYM
cana-3857	169	71	(	(	PUNCT
cana-3857	169	72	(	(	PUNCT
cana-3857	169	73	174,271,271,360)(120,271,271,473);0.3,0.5	174,271,271,360)(120,271,271,473);0.3,0.5	NUM
cana-3857	169	74	)	)	PUNCT
cana-3857	169	75	.	.	PUNCT
cana-3857	170	1	after	after	ADP
cana-3857	170	2	determining	determine	VERB
cana-3857	170	3	the	the	DET
cana-3857	170	4	optimal	optimal	ADJ
cana-3857	170	5	solution	solution	NOUN
cana-3857	170	6	for	for	ADP
cana-3857	170	7	the	the	DET
cana-3857	170	8	numerator	numerator	NOUN
cana-3857	170	9	and	and	CCONJ
cana-3857	170	10	denominator	denominator	NOUN
cana-3857	170	11	,	,	PUNCT
cana-3857	170	12	we	we	PRON
cana-3857	170	13	can	can	AUX
cana-3857	170	14	divide	divide	VERB
cana-3857	170	15	the	the	DET
cana-3857	170	16	previously	previously	ADV
cana-3857	170	17	computed	compute	VERB
cana-3857	170	18	numerator	numerator	NOUN
cana-3857	170	19	and	and	CCONJ
cana-3857	170	20	denominator	denominator	NOUN
cana-3857	170	21	to	to	PART
cana-3857	170	22	compute	compute	VERB
cana-3857	170	23	the	the	DET
cana-3857	170	24	t2tifftp	t2tifftp	NOUN
cana-3857	170	25	.	.	PUNCT
cana-3857	171	1	in	in	ADP
cana-3857	171	2	other	other	ADJ
cana-3857	171	3	words	word	NOUN
cana-3857	171	4	,	,	PUNCT
cana-3857	171	5	the	the	DET
cana-3857	171	6	optimal	optimal	ADJ
cana-3857	171	7	solution	solution	NOUN
cana-3857	171	8	to	to	ADP
cana-3857	171	9	the	the	DET
cana-3857	171	10	t2ifftp	t2ifftp	NOUN
cana-3857	171	11	is	be	AUX
cana-3857	171	12	represented	represent	VERB
cana-3857	171	13	by	by	ADP
cana-3857	171	14	the	the	DET
cana-3857	171	15	following	following	NOUN
cana-3857	171	16	,	,	PUNCT
cana-3857	171	17	based	base	VERB
cana-3857	171	18	on	on	ADP
cana-3857	171	19	calculations	calculation	NOUN
cana-3857	171	20	:	:	PUNCT
cana-3857	171	21	(	(	PUNCT
cana-3857	171	22	(	(	PUNCT
cana-3857	171	23	0.753,1.395,1.395,3.155)(0.402,1.395,1.395,5.255);0.3,0.5	0.753,1.395,1.395,3.155)(0.402,1.395,1.395,5.255);0.3,0.5	NOUN
cana-3857	171	24	)	)	PUNCT
cana-3857	171	25	.	.	PUNCT
cana-3857	172	1	7	7	X
cana-3857	172	2	.	.	NOUN
cana-3857	172	3	results	result	NOUN
cana-3857	172	4	and	and	CCONJ
cana-3857	172	5	discussion	discussion	NOUN
cana-3857	172	6	this	this	DET
cana-3857	172	7	investigation	investigation	NOUN
cana-3857	172	8	draws	draw	VERB
cana-3857	172	9	inspiration	inspiration	NOUN
cana-3857	172	10	from	from	ADP
cana-3857	172	11	[	[	X
cana-3857	172	12	2	2	NUM
cana-3857	172	13	]	]	PUNCT
cana-3857	172	14	and	and	CCONJ
cana-3857	172	15	will	will	AUX
cana-3857	172	16	play	play	VERB
cana-3857	172	17	a	a	DET
cana-3857	172	18	significant	significant	ADJ
cana-3857	172	19	role	role	NOUN
cana-3857	172	20	in	in	ADP
cana-3857	172	21	tackling	tackle	VERB
cana-3857	172	22	transportation	transportation	NOUN
cana-3857	172	23	problems	problem	NOUN
cana-3857	172	24	that	that	PRON
cana-3857	172	25	involve	involve	VERB
cana-3857	172	26	uncertainty	uncertainty	NOUN
cana-3857	172	27	.	.	PUNCT
cana-3857	173	1	this	this	DET
cana-3857	173	2	work	work	NOUN
cana-3857	173	3	does	do	AUX
cana-3857	173	4	not	not	PART
cana-3857	173	5	require	require	VERB
cana-3857	173	6	identification	identification	NOUN
cana-3857	173	7	of	of	ADP
cana-3857	173	8	the	the	DET
cana-3857	173	9	first	first	ADJ
cana-3857	173	10	basic	basic	ADJ
cana-3857	173	11	viable	viable	ADJ
cana-3857	173	12	solution	solution	NOUN
cana-3857	173	13	,	,	PUNCT
cana-3857	173	14	as	as	SCONJ
cana-3857	173	15	the	the	DET
cana-3857	173	16	suggested	suggest	VERB
cana-3857	173	17	technique	technique	NOUN
cana-3857	173	18	immediately	immediately	ADV
cana-3857	173	19	yields	yield	VERB
cana-3857	173	20	the	the	DET
cana-3857	173	21	optimal	optimal	ADJ
cana-3857	173	22	solution	solution	NOUN
cana-3857	173	23	.	.	PUNCT
cana-3857	174	1	it	it	PRON
cana-3857	174	2	reduces	reduce	VERB
cana-3857	174	3	computational	computational	ADJ
cana-3857	174	4	effort	effort	NOUN
cana-3857	174	5	and	and	CCONJ
cana-3857	174	6	time	time	NOUN
cana-3857	174	7	.	.	PUNCT
cana-3857	175	1	our	our	PRON
cana-3857	175	2	suggested	suggest	VERB
cana-3857	175	3	method	method	NOUN
cana-3857	175	4	demonstrates	demonstrate	VERB
cana-3857	175	5	an	an	DET
cana-3857	175	6	effective	effective	ADJ
cana-3857	175	7	approach	approach	NOUN
cana-3857	175	8	to	to	ADP
cana-3857	175	9	identifying	identify	VERB
cana-3857	175	10	the	the	DET
cana-3857	175	11	best	good	ADJ
cana-3857	175	12	solution	solution	NOUN
cana-3857	175	13	for	for	ADP
cana-3857	175	14	t2ifftp	t2ifftp	PROPN
cana-3857	175	15	.	.	PUNCT
cana-3857	175	16	to	to	PART
cana-3857	175	17	achieve	achieve	VERB
cana-3857	175	18	this	this	PRON
cana-3857	175	19	,	,	PUNCT
cana-3857	175	20	we	we	PRON
cana-3857	175	21	independently	independently	ADV
cana-3857	175	22	computed	compute	VERB
cana-3857	175	23	the	the	DET
cana-3857	175	24	numerator	numerator	NOUN
cana-3857	175	25	and	and	CCONJ
cana-3857	175	26	denominator	denominator	NOUN
cana-3857	175	27	to	to	PART
cana-3857	175	28	determine	determine	VERB
cana-3857	175	29	the	the	DET
cana-3857	175	30	optimal	optimal	ADJ
cana-3857	175	31	solution	solution	NOUN
cana-3857	175	32	.	.	PUNCT
cana-3857	176	1	the	the	DET
cana-3857	176	2	approach	approach	NOUN
cana-3857	176	3	employed	employ	VERB
cana-3857	176	4	herein	herein	NOUN
cana-3857	176	5	is	be	AUX
cana-3857	176	6	straightforward	straightforward	ADJ
cana-3857	176	7	and	and	CCONJ
cana-3857	176	8	accomplishes	accomplish	VERB
cana-3857	176	9	its	its	PRON
cana-3857	176	10	objective	objective	NOUN
cana-3857	176	11	swiftly	swiftly	ADV
cana-3857	176	12	and	and	CCONJ
cana-3857	176	13	precisely	precisely	ADV
cana-3857	176	14	for	for	ADP
cana-3857	176	15	t2tifftp	t2tifftp	NOUN
cana-3857	176	16	,	,	PUNCT
cana-3857	176	17	in	in	ADP
cana-3857	176	18	contrast	contrast	NOUN
cana-3857	176	19	to	to	ADP
cana-3857	176	20	the	the	DET
cana-3857	176	21	methodologies	methodology	NOUN
cana-3857	176	22	documented	document	VERB
cana-3857	176	23	in	in	ADP
cana-3857	176	24	the	the	DET
cana-3857	176	25	literature	literature	NOUN
cana-3857	176	26	.	.	PUNCT
cana-3857	177	1	in	in	ADP
cana-3857	177	2	this	this	DET
cana-3857	177	3	case	case	NOUN
cana-3857	177	4	,	,	PUNCT
cana-3857	177	5	determining	determine	VERB
cana-3857	177	6	the	the	DET
cana-3857	177	7	first	first	ADJ
cana-3857	177	8	basic	basic	ADJ
cana-3857	177	9	viable	viable	ADJ
cana-3857	177	10	solution	solution	NOUN
cana-3857	177	11	for	for	ADP
cana-3857	177	12	the	the	DET
cana-3857	177	13	numerator	numerator	NOUN
cana-3857	177	14	and	and	CCONJ
cana-3857	177	15	denominator	denominator	NOUN
cana-3857	177	16	individually	individually	ADV
cana-3857	177	17	is	be	AUX
cana-3857	177	18	unnecessary	unnecessary	ADJ
cana-3857	177	19	,	,	PUNCT
cana-3857	177	20	as	as	SCONJ
cana-3857	177	21	it	it	PRON
cana-3857	177	22	directly	directly	ADV
cana-3857	177	23	yields	yield	VERB
cana-3857	177	24	the	the	DET
cana-3857	177	25	optimal	optimal	ADJ
cana-3857	177	26	solution	solution	NOUN
cana-3857	177	27	.	.	PUNCT
cana-3857	178	1	the	the	DET
cana-3857	178	2	diagonal	diagonal	ADJ
cana-3857	178	3	optimum	optimum	ADJ
cana-3857	178	4	approach	approach	NOUN
cana-3857	178	5	improves	improve	VERB
cana-3857	178	6	the	the	DET
cana-3857	178	7	existing	exist	VERB
cana-3857	178	8	zero	zero	NUM
cana-3857	178	9	-	-	PUNCT
cana-3857	178	10	centered	center	VERB
cana-3857	178	11	value	value	NOUN
cana-3857	178	12	method	method	NOUN
cana-3857	178	13	for	for	ADP
cana-3857	178	14	addressing	address	VERB
cana-3857	178	15	the	the	DET
cana-3857	178	16	t2ifftp	t2ifftp	PROPN
cana-3857	178	17	.	.	PUNCT
cana-3857	179	1	the	the	DET
cana-3857	179	2	proposed	propose	VERB
cana-3857	179	3	approach	approach	NOUN
cana-3857	179	4	provides	provide	VERB
cana-3857	179	5	a	a	DET
cana-3857	179	6	more	more	ADV
cana-3857	179	7	cost	cost	NOUN
cana-3857	179	8	-	-	PUNCT
cana-3857	179	9	effective	effective	ADJ
cana-3857	179	10	option	option	NOUN
cana-3857	179	11	.	.	PUNCT
cana-3857	180	1	by	by	ADP
cana-3857	180	2	accounting	account	VERB
cana-3857	180	3	for	for	ADP
cana-3857	180	4	the	the	DET
cana-3857	180	5	diagonal	diagonal	ADJ
cana-3857	180	6	parts	part	NOUN
cana-3857	180	7	,	,	PUNCT
cana-3857	180	8	this	this	DET
cana-3857	180	9	method	method	NOUN
cana-3857	180	10	gives	give	VERB
cana-3857	180	11	more	more	ADV
cana-3857	180	12	accurate	accurate	ADJ
cana-3857	180	13	results	result	NOUN
cana-3857	180	14	when	when	SCONJ
cana-3857	180	15	managing	manage	VERB
cana-3857	180	16	type	type	NOUN
cana-3857	180	17	2	2	NUM
cana-3857	180	18	intuitionistic	intuitionistic	ADJ
cana-3857	180	19	fuzzy	fuzzy	ADJ
cana-3857	180	20	sets	set	NOUN
cana-3857	180	21	,	,	PUNCT
cana-3857	180	22	which	which	PRON
cana-3857	180	23	include	include	VERB
cana-3857	180	24	membership	membership	NOUN
cana-3857	180	25	,	,	PUNCT
cana-3857	180	26	non	non	ADJ
cana-3857	180	27	-	-	NOUN
cana-3857	180	28	membership	membership	NOUN
cana-3857	180	29	,	,	PUNCT
cana-3857	180	30	and	and	CCONJ
cana-3857	180	31	hesitation	hesitation	NOUN
cana-3857	180	32	degrees	degree	NOUN
cana-3857	180	33	.	.	PUNCT
cana-3857	181	1	this	this	PRON
cana-3857	181	2	allows	allow	VERB
cana-3857	181	3	for	for	ADP
cana-3857	181	4	a	a	DET
cana-3857	181	5	more	more	ADV
cana-3857	181	6	accurate	accurate	ADJ
cana-3857	181	7	calculation	calculation	NOUN
cana-3857	181	8	of	of	ADP
cana-3857	181	9	transportation	transportation	NOUN
cana-3857	181	10	expenses	expense	NOUN
cana-3857	181	11	,	,	PUNCT
cana-3857	181	12	resulting	result	VERB
cana-3857	181	13	in	in	ADP
cana-3857	181	14	a	a	DET
cana-3857	181	15	more	more	ADV
cana-3857	181	16	optimal	optimal	ADJ
cana-3857	181	17	solution	solution	NOUN
cana-3857	181	18	.	.	PUNCT
cana-3857	182	1	the	the	DET
cana-3857	182	2	proposed	propose	VERB
cana-3857	182	3	method	method	NOUN
cana-3857	182	4	enhances	enhance	VERB
cana-3857	182	5	the	the	DET
cana-3857	182	6	current	current	ADJ
cana-3857	182	7	strategy	strategy	NOUN
cana-3857	182	8	for	for	ADP
cana-3857	182	9	tackling	tackle	VERB
cana-3857	182	10	the	the	DET
cana-3857	182	11	t2tifftp	t2tifftp	NOUN
cana-3857	182	12	.	.	PUNCT
cana-3857	183	1	the	the	DET
cana-3857	183	2	diagonal	diagonal	ADJ
cana-3857	183	3	optimal	optimal	ADJ
cana-3857	183	4	method	method	NOUN
cana-3857	183	5	offers	offer	VERB
cana-3857	183	6	a	a	DET
cana-3857	183	7	more	more	ADV
cana-3857	183	8	economical	economical	ADJ
cana-3857	183	9	alternative	alternative	NOUN
cana-3857	183	10	.	.	PUNCT
cana-3857	184	1	by	by	ADP
cana-3857	184	2	examining	examine	VERB
cana-3857	184	3	the	the	DET
cana-3857	184	4	diagonal	diagonal	ADJ
cana-3857	184	5	components	component	NOUN
cana-3857	184	6	,	,	PUNCT
cana-3857	184	7	such	such	ADJ
cana-3857	184	8	as	as	ADP
cana-3857	184	9	the	the	DET
cana-3857	184	10	degrees	degree	NOUN
cana-3857	184	11	of	of	ADP
cana-3857	184	12	membership	membership	NOUN
cana-3857	184	13	,	,	PUNCT
cana-3857	184	14	non	non	ADJ
cana-3857	184	15	-	-	NOUN
cana-3857	184	16	membership	membership	NOUN
cana-3857	184	17	,	,	PUNCT
cana-3857	184	18	and	and	CCONJ
cana-3857	184	19	hesitation	hesitation	NOUN
cana-3857	184	20	,	,	PUNCT
cana-3857	184	21	this	this	DET
cana-3857	184	22	method	method	NOUN
cana-3857	184	23	provides	provide	VERB
cana-3857	184	24	more	more	ADV
cana-3857	184	25	precise	precise	ADJ
cana-3857	184	26	results	result	NOUN
cana-3857	184	27	for	for	ADP
cana-3857	184	28	managing	manage	VERB
cana-3857	184	29	type	type	NOUN
cana-3857	184	30	2	2	NUM
cana-3857	184	31	intuitionistic	intuitionistic	ADJ
cana-3857	184	32	fuzzy	fuzzy	ADJ
cana-3857	184	33	sets	set	NOUN
cana-3857	184	34	.	.	PUNCT
cana-3857	185	1	this	this	PRON
cana-3857	185	2	allows	allow	VERB
cana-3857	185	3	for	for	SCONJ
cana-3857	185	4	a	a	DET
cana-3857	185	5	more	more	ADV
cana-3857	185	6	accurate	accurate	ADJ
cana-3857	185	7	calculation	calculation	NOUN
cana-3857	185	8	communications	communication	NOUN
cana-3857	185	9	on	on	ADP
cana-3857	185	10	applied	apply	VERB
cana-3857	185	11	nonlinear	nonlinear	ADJ
cana-3857	185	12	analysis	analysis	NOUN
cana-3857	185	13	issn	issn	NOUN
cana-3857	185	14	:	:	PUNCT
cana-3857	185	15	1074	1074	NUM
cana-3857	185	16	-	-	PUNCT
cana-3857	185	17	133x	133x	NUM
cana-3857	185	18	vol	vol	NOUN
cana-3857	185	19	32	32	NUM
cana-3857	185	20	no	no	NOUN
cana-3857	185	21	.	.	PUNCT
cana-3857	186	1	9s	9s	NUM
cana-3857	186	2	(	(	PUNCT
cana-3857	186	3	2025	2025	NUM
cana-3857	186	4	)	)	PUNCT
cana-3857	186	5	310	310	NUM
cana-3857	186	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	186	7	of	of	ADP
cana-3857	186	8	transportation	transportation	NOUN
cana-3857	186	9	costs	cost	NOUN
cana-3857	186	10	,	,	PUNCT
cana-3857	186	11	resulting	result	VERB
cana-3857	186	12	in	in	ADP
cana-3857	186	13	a	a	DET
cana-3857	186	14	more	more	ADV
cana-3857	186	15	optimal	optimal	ADJ
cana-3857	186	16	solution	solution	NOUN
cana-3857	186	17	.	.	PUNCT
cana-3857	187	1	the	the	DET
cana-3857	187	2	proposed	propose	VERB
cana-3857	187	3	approach	approach	NOUN
cana-3857	187	4	regularly	regularly	ADV
cana-3857	187	5	yields	yield	VERB
cana-3857	187	6	reduced	reduce	VERB
cana-3857	187	7	transportation	transportation	NOUN
cana-3857	187	8	expenses	expense	NOUN
cana-3857	187	9	compared	compare	VERB
cana-3857	187	10	to	to	ADP
cana-3857	187	11	the	the	DET
cana-3857	187	12	current	current	ADJ
cana-3857	187	13	strategy	strategy	NOUN
cana-3857	187	14	.	.	PUNCT
cana-3857	188	1	although	although	SCONJ
cana-3857	188	2	the	the	DET
cana-3857	188	3	diagonal	diagonal	ADJ
cana-3857	188	4	optimum	optimum	ADJ
cana-3857	188	5	technique	technique	NOUN
cana-3857	188	6	produces	produce	VERB
cana-3857	188	7	positive	positive	ADJ
cana-3857	188	8	outcomes	outcome	NOUN
cana-3857	188	9	,	,	PUNCT
cana-3857	188	10	its	its	PRON
cana-3857	188	11	applicability	applicability	NOUN
cana-3857	188	12	to	to	ADP
cana-3857	188	13	more	more	ADV
cana-3857	188	14	intricate	intricate	ADJ
cana-3857	188	15	transportation	transportation	NOUN
cana-3857	188	16	issues	issue	NOUN
cana-3857	188	17	require	require	VERB
cana-3857	188	18	further	further	ADJ
cana-3857	188	19	investigation	investigation	NOUN
cana-3857	188	20	in	in	ADP
cana-3857	188	21	future	future	ADJ
cana-3857	188	22	studies	study	NOUN
cana-3857	188	23	.	.	PUNCT
cana-3857	189	1	the	the	DET
cana-3857	189	2	figure	figure	NOUN
cana-3857	189	3	and	and	CCONJ
cana-3857	189	4	table	table	NOUN
cana-3857	189	5	below	below	ADP
cana-3857	189	6	compare	compare	VERB
cana-3857	189	7	the	the	DET
cana-3857	189	8	suggested	suggest	VERB
cana-3857	189	9	approach	approach	NOUN
cana-3857	189	10	with	with	ADP
cana-3857	189	11	the	the	DET
cana-3857	189	12	current	current	ADJ
cana-3857	189	13	method	method	NOUN
cana-3857	189	14	.	.	PUNCT
cana-3857	190	1	8	8	X
cana-3857	190	2	.	.	X
cana-3857	190	3	conclusion	conclusion	NOUN
cana-3857	190	4	this	this	DET
cana-3857	190	5	study	study	NOUN
cana-3857	190	6	demonstrates	demonstrate	VERB
cana-3857	190	7	a	a	DET
cana-3857	190	8	novel	novel	ADJ
cana-3857	190	9	method	method	NOUN
cana-3857	190	10	for	for	ADP
cana-3857	190	11	solving	solve	VERB
cana-3857	190	12	the	the	DET
cana-3857	190	13	t2tifftp	t2tifftp	NOUN
cana-3857	190	14	by	by	ADP
cana-3857	190	15	checking	check	VERB
cana-3857	190	16	non	non	ADJ
cana-3857	190	17	-	-	ADJ
cana-3857	190	18	assigned	assign	VERB
cana-3857	190	19	cells	cell	NOUN
cana-3857	190	20	in	in	ADP
cana-3857	190	21	a	a	DET
cana-3857	190	22	planned	plan	VERB
cana-3857	190	23	manner	manner	NOUN
cana-3857	190	24	using	use	VERB
cana-3857	190	25	given	give	VERB
cana-3857	190	26	diagonals	diagonal	NOUN
cana-3857	190	27	.	.	PUNCT
cana-3857	191	1	the	the	DET
cana-3857	191	2	approach	approach	NOUN
cana-3857	191	3	ensures	ensure	VERB
cana-3857	191	4	an	an	DET
cana-3857	191	5	optimal	optimal	ADJ
cana-3857	191	6	solution	solution	NOUN
cana-3857	191	7	while	while	SCONJ
cana-3857	191	8	greatly	greatly	ADV
cana-3857	191	9	reducing	reduce	VERB
cana-3857	191	10	computing	computing	NOUN
cana-3857	191	11	complexity	complexity	NOUN
cana-3857	191	12	,	,	PUNCT
cana-3857	191	13	providing	provide	VERB
cana-3857	191	14	a	a	DET
cana-3857	191	15	major	major	ADJ
cana-3857	191	16	advance	advance	NOUN
cana-3857	191	17	over	over	ADP
cana-3857	191	18	existing	exist	VERB
cana-3857	191	19	strategies	strategy	NOUN
cana-3857	191	20	.	.	PUNCT
cana-3857	192	1	a	a	DET
cana-3857	192	2	significant	significant	ADJ
cana-3857	192	3	decrease	decrease	NOUN
cana-3857	192	4	in	in	ADP
cana-3857	192	5	transportation	transportation	NOUN
cana-3857	192	6	costs	cost	NOUN
cana-3857	192	7	further	far	ADV
cana-3857	192	8	supports	support	VERB
cana-3857	192	9	the	the	DET
cana-3857	192	10	approach	approach	NOUN
cana-3857	192	11	’s	’s	PART
cana-3857	192	12	practical	practical	ADJ
cana-3857	192	13	usefulness	usefulness	NOUN
cana-3857	192	14	,	,	PUNCT
cana-3857	192	15	establishing	establish	VERB
cana-3857	192	16	it	it	PRON
cana-3857	192	17	as	as	ADP
cana-3857	192	18	a	a	DET
cana-3857	192	19	vital	vital	ADJ
cana-3857	192	20	tool	tool	NOUN
cana-3857	192	21	for	for	ADP
cana-3857	192	22	resource	resource	NOUN
cana-3857	192	23	allocation	allocation	NOUN
cana-3857	192	24	.	.	PUNCT
cana-3857	193	1	the	the	DET
cana-3857	193	2	strategy	strategy	NOUN
cana-3857	193	3	improves	improve	VERB
cana-3857	193	4	resource	resource	NOUN
cana-3857	193	5	management	management	NOUN
cana-3857	193	6	efficiency	efficiency	NOUN
cana-3857	193	7	and	and	CCONJ
cana-3857	193	8	has	have	VERB
cana-3857	193	9	potential	potential	ADJ
cana-3857	193	10	applications	application	NOUN
cana-3857	193	11	in	in	ADP
cana-3857	193	12	a	a	DET
cana-3857	193	13	wide	wide	ADJ
cana-3857	193	14	range	range	NOUN
cana-3857	193	15	of	of	ADP
cana-3857	193	16	industries	industry	NOUN
cana-3857	193	17	.	.	PUNCT
cana-3857	194	1	future	future	ADJ
cana-3857	194	2	studies	study	NOUN
cana-3857	194	3	should	should	AUX
cana-3857	194	4	concentrate	concentrate	VERB
cana-3857	194	5	on	on	ADP
cana-3857	194	6	improving	improve	VERB
cana-3857	194	7	the	the	DET
cana-3857	194	8	model	model	NOUN
cana-3857	194	9	and	and	CCONJ
cana-3857	194	10	investigating	investigate	VERB
cana-3857	194	11	its	its	PRON
cana-3857	194	12	applicability	applicability	NOUN
cana-3857	194	13	to	to	ADP
cana-3857	194	14	a	a	DET
cana-3857	194	15	variety	variety	NOUN
cana-3857	194	16	of	of	ADP
cana-3857	194	17	logistical	logistical	ADJ
cana-3857	194	18	difficulties	difficulty	NOUN
cana-3857	194	19	,	,	PUNCT
cana-3857	194	20	ensuring	ensure	VERB
cana-3857	194	21	its	its	PRON
cana-3857	194	22	continuous	continuous	ADJ
cana-3857	194	23	relevance	relevance	NOUN
cana-3857	194	24	and	and	CCONJ
cana-3857	194	25	influence	influence	NOUN
cana-3857	194	26	in	in	ADP
cana-3857	194	27	optimization	optimization	NOUN
cana-3857	194	28	efforts	effort	NOUN
cana-3857	194	29	.	.	PUNCT
cana-3857	195	1	references	reference	NOUN
cana-3857	195	2	[	[	X
cana-3857	195	3	1	1	NUM
cana-3857	195	4	]	]	PUNCT
cana-3857	195	5	s.	s.	PROPN
cana-3857	195	6	aggarwal	aggarwal	PROPN
cana-3857	195	7	,	,	PUNCT
cana-3857	195	8	c.	c.	PROPN
cana-3857	195	9	gupta	gupta	PROPN
cana-3857	195	10	,	,	PUNCT
cana-3857	195	11	solving	solve	VERB
cana-3857	195	12	intuitionistic	intuitionistic	ADJ
cana-3857	195	13	fuzzy	fuzzy	ADJ
cana-3857	195	14	solid	solid	ADJ
cana-3857	195	15	transportation	transportation	NOUN
cana-3857	195	16	problem	problem	NOUN
cana-3857	195	17	via	via	ADP
cana-3857	195	18	new	new	ADJ
cana-3857	195	19	ranking	ranking	NOUN
cana-3857	195	20	method	method	NOUN
cana-3857	195	21	based	base	VERB
cana-3857	195	22	on	on	ADP
cana-3857	195	23	signed	sign	VERB
cana-3857	195	24	distance	distance	NOUN
cana-3857	195	25	,	,	PUNCT
cana-3857	195	26	international	international	ADJ
cana-3857	195	27	journal	journal	NOUN
cana-3857	195	28	of	of	ADP
cana-3857	195	29	uncertainty	uncertainty	NOUN
cana-3857	195	30	,	,	PUNCT
cana-3857	195	31	24(04	24(04	NUM
cana-3857	195	32	)	)	PUNCT
cana-3857	195	33	(	(	PUNCT
cana-3857	195	34	2016	2016	NUM
cana-3857	195	35	)	)	PUNCT
cana-3857	195	36	,	,	PUNCT
cana-3857	195	37	483	483	NUM
cana-3857	195	38	-	-	SYM
cana-3857	195	39	501	501	NUM
cana-3857	195	40	.	.	PUNCT
cana-3857	195	41	0.924	0.924	NUM
cana-3857	195	42	1.711	1.711	NUM
cana-3857	195	43	1.711	1.711	NUM
cana-3857	195	44	3.826	3.826	NUM
cana-3857	195	45	0.511	0.511	NUM
cana-3857	195	46	1.711	1.711	NUM
cana-3857	195	47	1.711	1.711	NUM
cana-3857	195	48	5.555	5.555	NUM
cana-3857	195	49	0.753	0.753	NUM
cana-3857	195	50	1.3	1.3	NUM
cana-3857	195	51	…	…	PUNCT
cana-3857	195	52	1.395	1.395	NUM
cana-3857	195	53	3.155	3.155	NUM
cana-3857	195	54	0.4	0.4	NUM
cana-3857	195	55	…	…	PUNCT
cana-3857	195	56	1.395	1.395	NUM
cana-3857	195	57	1.395	1.395	NUM
cana-3857	195	58	5.225	5.225	NUM
cana-3857	195	59	0	0	NUM
cana-3857	195	60	1	1	NUM
cana-3857	195	61	2	2	NUM
cana-3857	195	62	3	3	NUM
cana-3857	195	63	4	4	NUM
cana-3857	195	64	5	5	NUM
cana-3857	195	65	6	6	NUM
cana-3857	195	66	1	1	NUM
cana-3857	195	67	2	2	NUM
cana-3857	195	68	3	3	NUM
cana-3857	195	69	4	4	NUM
cana-3857	195	70	5	5	NUM
cana-3857	195	71	6	6	NUM
cana-3857	195	72	7	7	NUM
cana-3857	195	73	8	8	NUM
cana-3857	195	74	optimal	optimal	ADJ
cana-3857	195	75	solution	solution	NOUN
cana-3857	195	76	existing	exist	VERB
cana-3857	195	77	method	method	NOUN
cana-3857	195	78	proposed	propose	VERB
cana-3857	195	79	method	method	NOUN
cana-3857	195	80	communications	communication	NOUN
cana-3857	195	81	on	on	ADP
cana-3857	195	82	applied	apply	VERB
cana-3857	195	83	nonlinear	nonlinear	ADJ
cana-3857	195	84	analysis	analysis	NOUN
cana-3857	195	85	issn	issn	NOUN
cana-3857	195	86	:	:	PUNCT
cana-3857	195	87	1074	1074	NUM
cana-3857	195	88	-	-	PUNCT
cana-3857	195	89	133x	133x	NUM
cana-3857	195	90	vol	vol	NOUN
cana-3857	195	91	32	32	NUM
cana-3857	195	92	no	no	NOUN
cana-3857	195	93	.	.	PUNCT
cana-3857	196	1	9s	9s	NUM
cana-3857	196	2	(	(	PUNCT
cana-3857	196	3	2025	2025	NUM
cana-3857	196	4	)	)	PUNCT
cana-3857	196	5	311	311	NUM
cana-3857	196	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	197	1	[	[	X
cana-3857	197	2	2	2	NUM
cana-3857	197	3	]	]	PUNCT
cana-3857	197	4	p.	p.	NOUN
cana-3857	197	5	anukokila	anukokila	PROPN
cana-3857	197	6	,	,	PUNCT
cana-3857	197	7	a.	a.	NOUN
cana-3857	197	8	anju	anju	PROPN
cana-3857	197	9	,	,	PUNCT
cana-3857	197	10	optimality	optimality	NOUN
cana-3857	197	11	of	of	ADP
cana-3857	197	12	intuitionistic	intuitionistic	ADJ
cana-3857	197	13	fuzzy	fuzzy	ADJ
cana-3857	197	14	fractional	fractional	ADJ
cana-3857	197	15	transportation	transportation	NOUN
cana-3857	197	16	problem	problem	NOUN
cana-3857	197	17	of	of	ADP
cana-3857	197	18	type-2	type-2	PROPN
cana-3857	197	19	,	,	PUNCT
cana-3857	197	20	arab	arab	ADJ
cana-3857	197	21	journal	journal	NOUN
cana-3857	197	22	of	of	ADP
cana-3857	197	23	basic	basic	ADJ
cana-3857	197	24	and	and	CCONJ
cana-3857	197	25	applied	applied	ADJ
cana-3857	197	26	sciences	science	NOUN
cana-3857	197	27	,	,	PUNCT
cana-3857	197	28	26(1	26(1	NUM
cana-3857	197	29	)	)	PUNCT
cana-3857	197	30	(	(	PUNCT
cana-3857	197	31	2019	2019	NUM
cana-3857	197	32	)	)	PUNCT
cana-3857	197	33	,	,	PUNCT
cana-3857	197	34	519	519	NUM
cana-3857	197	35	-	-	SYM
cana-3857	197	36	530	530	NUM
cana-3857	197	37	.	.	PUNCT
cana-3857	198	1	[	[	X
cana-3857	198	2	3	3	X
cana-3857	198	3	]	]	PUNCT
cana-3857	198	4	k.	k.	PROPN
cana-3857	198	5	atanassov	atanassov	PROPN
cana-3857	198	6	,	,	PUNCT
cana-3857	198	7	intuitionistic	intuitionistic	ADJ
cana-3857	198	8	fuzzy	fuzzy	ADJ
cana-3857	198	9	sets	set	NOUN
cana-3857	198	10	,	,	PUNCT
cana-3857	198	11	fuzzy	fuzzy	ADJ
cana-3857	198	12	sets	set	NOUN
cana-3857	198	13	and	and	CCONJ
cana-3857	198	14	systems	system	NOUN
cana-3857	198	15	,	,	PUNCT
cana-3857	198	16	20(1	20(1	NUM
cana-3857	198	17	)	)	PUNCT
cana-3857	198	18	(	(	PUNCT
cana-3857	198	19	1986	1986	NUM
cana-3857	198	20	)	)	PUNCT
cana-3857	198	21	,	,	PUNCT
cana-3857	198	22	87	87	NUM
cana-3857	198	23	-	-	SYM
cana-3857	198	24	96	96	NUM
cana-3857	198	25	.	.	PUNCT
cana-3857	199	1	[	[	X
cana-3857	199	2	4	4	X
cana-3857	199	3	]	]	X
cana-3857	199	4	s.k	s.k	PROPN
cana-3857	199	5	.	.	PROPN
cana-3857	199	6	bharati	bharati	PROPN
cana-3857	199	7	,	,	PUNCT
cana-3857	199	8	trapezoidal	trapezoidal	ADJ
cana-3857	199	9	intuitionistic	intuitionistic	ADJ
cana-3857	199	10	fuzzy	fuzzy	ADJ
cana-3857	199	11	fractional	fractional	ADJ
cana-3857	199	12	transportation	transportation	NOUN
cana-3857	199	13	problem	problem	NOUN
cana-3857	199	14	,	,	PUNCT
cana-3857	199	15	soft	soft	ADJ
cana-3857	199	16	computing	computing	NOUN
cana-3857	199	17	for	for	ADP
cana-3857	199	18	problem	problem	NOUN
cana-3857	199	19	solving	solving	NOUN
cana-3857	199	20	,	,	PUNCT
cana-3857	199	21	2(2018	2(2018	NUM
cana-3857	199	22	)	)	PUNCT
cana-3857	199	23	,	,	PUNCT
cana-3857	199	24	833	833	NUM
cana-3857	199	25	-	-	SYM
cana-3857	199	26	842	842	NUM
cana-3857	199	27	.	.	PUNCT
cana-3857	200	1	[	[	X
cana-3857	200	2	5	5	X
cana-3857	200	3	]	]	PUNCT
cana-3857	200	4	s.	s.	PROPN
cana-3857	200	5	dhanasekar	dhanasekar	PROPN
cana-3857	200	6	,	,	PUNCT
cana-3857	200	7	a.	a.	NOUN
cana-3857	200	8	manivannan	manivannan	PROPN
cana-3857	200	9	,	,	PUNCT
cana-3857	200	10	a	a	DET
cana-3857	200	11	fuzzy	fuzzy	ADJ
cana-3857	200	12	vam	vam	ADJ
cana-3857	200	13	-	-	PUNCT
cana-3857	200	14	diagonal	diagonal	ADJ
cana-3857	200	15	optimal	optimal	ADJ
cana-3857	200	16	algorithm	algorithm	NOUN
cana-3857	200	17	to	to	PART
cana-3857	200	18	solve	solve	VERB
cana-3857	200	19	fuzzy	fuzzy	ADJ
cana-3857	200	20	assignment	assignment	NOUN
cana-3857	200	21	problem	problem	NOUN
cana-3857	200	22	,	,	PUNCT
cana-3857	200	23	international	international	ADJ
cana-3857	200	24	journal	journal	NOUN
cana-3857	200	25	of	of	ADP
cana-3857	200	26	mechanical	mechanical	ADJ
cana-3857	200	27	engineering	engineering	NOUN
cana-3857	200	28	and	and	CCONJ
cana-3857	200	29	technology	technology	NOUN
cana-3857	200	30	(	(	PUNCT
cana-3857	200	31	ijmet	ijmet	NOUN
cana-3857	200	32	)	)	PUNCT
cana-3857	200	33	,	,	PUNCT
cana-3857	200	34	10(2	10(2	NUM
cana-3857	200	35	)	)	PUNCT
cana-3857	200	36	(	(	PUNCT
cana-3857	200	37	2019	2019	NUM
cana-3857	200	38	)	)	PUNCT
cana-3857	200	39	,	,	PUNCT
cana-3857	200	40	1282	1282	NUM
cana-3857	200	41	-	-	SYM
cana-3857	200	42	1287	1287	NUM
cana-3857	200	43	.	.	PUNCT
cana-3857	201	1	[	[	X
cana-3857	201	2	6	6	NUM
cana-3857	201	3	]	]	X
cana-3857	201	4	y.	y.	PROPN
cana-3857	201	5	fu	fu	PROPN
cana-3857	201	6	,	,	PUNCT
cana-3857	201	7	y.	y.	PROPN
cana-3857	201	8	qin	qin	PROPN
cana-3857	201	9	,	,	PUNCT
cana-3857	201	10	w.	w.	PROPN
cana-3857	201	11	wang	wang	PROPN
cana-3857	201	12	,	,	PUNCT
cana-3857	201	13	x.	x.	PROPN
cana-3857	201	14	liu	liu	PROPN
cana-3857	201	15	and	and	CCONJ
cana-3857	201	16	l.	l.	PROPN
cana-3857	201	17	jia	jia	PROPN
cana-3857	201	18	,	,	PUNCT
cana-3857	201	19	an	an	DET
cana-3857	201	20	extended	extended	ADJ
cana-3857	201	21	fmea	fmea	NOUN
cana-3857	201	22	model	model	NOUN
cana-3857	201	23	based	base	VERB
cana-3857	201	24	on	on	ADP
cana-3857	201	25	cumulative	cumulative	ADJ
cana-3857	201	26	prospect	prospect	NOUN
cana-3857	201	27	theory	theory	NOUN
cana-3857	201	28	and	and	CCONJ
cana-3857	201	29	type-2	type-2	NUM
cana-3857	201	30	intuitionistic	intuitionistic	ADJ
cana-3857	201	31	fuzzy	fuzzy	ADJ
cana-3857	201	32	vikor	vikor	ADJ
cana-3857	201	33	for	for	ADP
cana-3857	201	34	the	the	DET
cana-3857	201	35	railway	railway	NOUN
cana-3857	201	36	train	train	NOUN
cana-3857	201	37	risk	risk	NOUN
cana-3857	201	38	prioritization	prioritization	NOUN
cana-3857	201	39	,	,	PUNCT
cana-3857	201	40	entropy	entropy	PROPN
cana-3857	201	41	,	,	PUNCT
cana-3857	201	42	22(12)(2020	22(12)(2020	NUM
cana-3857	201	43	)	)	PUNCT
cana-3857	201	44	,	,	PUNCT
cana-3857	201	45	1418	1418	NUM
cana-3857	201	46	.	.	PUNCT
cana-3857	202	1	[	[	X
cana-3857	202	2	7	7	X
cana-3857	202	3	]	]	X
cana-3857	202	4	g.	g.	PROPN
cana-3857	202	5	gupta	gupta	PROPN
cana-3857	202	6	,	,	PUNCT
cana-3857	202	7	k.	k.	PROPN
cana-3857	202	8	anupum	anupum	PROPN
cana-3857	202	9	,	,	PUNCT
cana-3857	202	10	an	an	DET
cana-3857	202	11	efficient	efficient	ADJ
cana-3857	202	12	method	method	NOUN
cana-3857	202	13	for	for	ADP
cana-3857	202	14	solving	solve	VERB
cana-3857	202	15	intuitionistic	intuitionistic	ADJ
cana-3857	202	16	fuzzy	fuzzy	ADJ
cana-3857	202	17	transportation	transportation	NOUN
cana-3857	202	18	problem	problem	NOUN
cana-3857	202	19	of	of	ADP
cana-3857	202	20	type-2	type-2	PROPN
cana-3857	202	21	,	,	PUNCT
cana-3857	202	22	international	international	ADJ
cana-3857	202	23	journal	journal	NOUN
cana-3857	202	24	of	of	ADP
cana-3857	202	25	computational	computational	ADJ
cana-3857	202	26	mathematics	mathematic	NOUN
cana-3857	202	27	,	,	PUNCT
cana-3857	202	28	3(4	3(4	NUM
cana-3857	202	29	)	)	PUNCT
cana-3857	202	30	(	(	PUNCT
cana-3857	202	31	2017	2017	NUM
cana-3857	202	32	)	)	PUNCT
cana-3857	202	33	,	,	PUNCT
cana-3857	202	34	3795	3795	NUM
cana-3857	202	35	-	-	SYM
cana-3857	202	36	3804	3804	NUM
cana-3857	202	37	.	.	PUNCT
cana-3857	203	1	[	[	X
cana-3857	203	2	8	8	NUM
cana-3857	203	3	]	]	X
cana-3857	203	4	f.l	f.l	PROPN
cana-3857	203	5	.	.	PROPN
cana-3857	203	6	hitchcock	hitchcock	PROPN
cana-3857	203	7	,	,	PUNCT
cana-3857	203	8	the	the	DET
cana-3857	203	9	distribution	distribution	NOUN
cana-3857	203	10	of	of	ADP
cana-3857	203	11	a	a	DET
cana-3857	203	12	product	product	NOUN
cana-3857	203	13	from	from	ADP
cana-3857	203	14	several	several	ADJ
cana-3857	203	15	sources	source	NOUN
cana-3857	203	16	to	to	ADP
cana-3857	203	17	numerous	numerous	ADJ
cana-3857	203	18	localities	locality	NOUN
cana-3857	203	19	,	,	PUNCT
cana-3857	203	20	journal	journal	NOUN
cana-3857	203	21	of	of	ADP
cana-3857	203	22	mathematics	mathematics	PROPN
cana-3857	203	23	and	and	CCONJ
cana-3857	203	24	physics	physics	NOUN
cana-3857	203	25	,	,	PUNCT
cana-3857	203	26	20(1	20(1	PROPN
cana-3857	203	27	-	-	PUNCT
cana-3857	203	28	4)(1941	4)(1941	NUM
cana-3857	203	29	)	)	PUNCT
cana-3857	203	30	,	,	PUNCT
cana-3857	203	31	224	224	NUM
cana-3857	203	32	-	-	SYM
cana-3857	203	33	230	230	NUM
cana-3857	203	34	.	.	PUNCT
cana-3857	204	1	[	[	X
cana-3857	204	2	9	9	NUM
cana-3857	204	3	]	]	X
cana-3857	204	4	r.j	r.j	PROPN
cana-3857	204	5	.	.	PROPN
cana-3857	204	6	hussain	hussain	PROPN
cana-3857	204	7	,	,	PUNCT
cana-3857	204	8	p.s	p.s	PROPN
cana-3857	204	9	.	.	PROPN
cana-3857	204	10	kumar	kumar	PROPN
cana-3857	204	11	,	,	PUNCT
cana-3857	204	12	algorithmic	algorithmic	ADJ
cana-3857	204	13	approach	approach	NOUN
cana-3857	204	14	for	for	ADP
cana-3857	204	15	solving	solve	VERB
cana-3857	204	16	intuitionistic	intuitionistic	ADJ
cana-3857	204	17	fuzzy	fuzzy	ADJ
cana-3857	204	18	transportation	transportation	NOUN
cana-3857	204	19	problem	problem	NOUN
cana-3857	204	20	,	,	PUNCT
cana-3857	204	21	applied	apply	VERB
cana-3857	204	22	mathematical	mathematical	ADJ
cana-3857	204	23	sciences	science	NOUN
cana-3857	204	24	,	,	PUNCT
cana-3857	204	25	6(80	6(80	NUM
cana-3857	204	26	)	)	PUNCT
cana-3857	204	27	(	(	PUNCT
cana-3857	204	28	2012	2012	NUM
cana-3857	204	29	)	)	PUNCT
cana-3857	204	30	,	,	PUNCT
cana-3857	204	31	3981	3981	NUM
cana-3857	204	32	-	-	SYM
cana-3857	204	33	3989	3989	NUM
cana-3857	204	34	.	.	PUNCT
cana-3857	205	1	[	[	X
cana-3857	205	2	10	10	NUM
cana-3857	205	3	]	]	X
cana-3857	205	4	j.	j.	PROPN
cana-3857	205	5	jansi	jansi	PROPN
cana-3857	205	6	rani	rani	PROPN
cana-3857	205	7	,	,	PUNCT
cana-3857	205	8	a.	a.	PROPN
cana-3857	205	9	manivannan	manivannan	PROPN
cana-3857	205	10	,	,	PUNCT
cana-3857	205	11	an	an	DET
cana-3857	205	12	application	application	NOUN
cana-3857	205	13	of	of	ADP
cana-3857	205	14	generalized	generalized	ADJ
cana-3857	205	15	symmetric	symmetric	ADJ
cana-3857	205	16	type-2	type-2	NUM
cana-3857	205	17	intuitionistic	intuitionistic	ADJ
cana-3857	205	18	fuzzy	fuzzy	ADJ
cana-3857	205	19	variables	variable	NOUN
cana-3857	205	20	to	to	ADP
cana-3857	205	21	a	a	DET
cana-3857	205	22	transportation	transportation	NOUN
cana-3857	205	23	problem	problem	NOUN
cana-3857	205	24	with	with	ADP
cana-3857	205	25	the	the	DET
cana-3857	205	26	effect	effect	NOUN
cana-3857	205	27	of	of	ADP
cana-3857	205	28	a	a	DET
cana-3857	205	29	new	new	ADJ
cana-3857	205	30	ranking	rank	VERB
cana-3857	205	31	function	function	NOUN
cana-3857	205	32	,	,	PUNCT
cana-3857	205	33	expert	expert	NOUN
cana-3857	205	34	systems	system	NOUN
cana-3857	205	35	with	with	ADP
cana-3857	205	36	applications,237(2024	applications,237(2024	PROPN
cana-3857	205	37	)	)	PUNCT
cana-3857	205	38	,	,	PUNCT
cana-3857	205	39	121384	121384	NUM
cana-3857	205	40	.	.	PUNCT
cana-3857	206	1	[	[	X
cana-3857	206	2	11	11	NUM
cana-3857	206	3	]	]	PUNCT
cana-3857	206	4	j.	j.	PROPN
cana-3857	206	5	jansi	jansi	PROPN
cana-3857	206	6	rani	rani	PROPN
cana-3857	206	7	,	,	PUNCT
cana-3857	206	8	a.	a.	NOUN
cana-3857	206	9	manivannan	manivannan	PROPN
cana-3857	206	10	,	,	PUNCT
cana-3857	206	11	interval	interval	NOUN
cana-3857	206	12	valued	value	VERB
cana-3857	206	13	intuitionistic	intuitionistic	ADJ
cana-3857	206	14	fuzzy	fuzzy	ADJ
cana-3857	206	15	diagonal	diagonal	ADJ
cana-3857	206	16	optimal	optimal	ADJ
cana-3857	206	17	algorithm	algorithm	NOUN
cana-3857	206	18	to	to	PART
cana-3857	206	19	solve	solve	VERB
cana-3857	206	20	transportation	transportation	NOUN
cana-3857	206	21	problems	problem	NOUN
cana-3857	206	22	,	,	PUNCT
cana-3857	206	23	international	international	ADJ
cana-3857	206	24	journal	journal	NOUN
cana-3857	206	25	of	of	ADP
cana-3857	206	26	fuzzy	fuzzy	ADJ
cana-3857	206	27	systems	system	NOUN
cana-3857	206	28	,	,	PUNCT
cana-3857	206	29	25(4)(2023	25(4)(2023	NUM
cana-3857	206	30	)	)	PUNCT
cana-3857	206	31	,	,	PUNCT
cana-3857	206	32	1	1	NUM
cana-3857	206	33	-	-	SYM
cana-3857	206	34	15	15	NUM
cana-3857	206	35	.	.	PUNCT
cana-3857	207	1	[	[	X
cana-3857	207	2	12	12	NUM
cana-3857	207	3	]	]	PUNCT
cana-3857	207	4	m.	m.	PROPN
cana-3857	207	5	khalid	khalid	PROPN
cana-3857	207	6	,	,	PUNCT
cana-3857	207	7	m.	m.	NOUN
cana-3857	207	8	sultana	sultana	PROPN
cana-3857	207	9	and	and	CCONJ
cana-3857	207	10	f.	f.	PROPN
cana-3857	207	11	zaidi	zaidi	PROPN
cana-3857	207	12	,	,	PUNCT
cana-3857	207	13	a	a	DET
cana-3857	207	14	new	new	ADJ
cana-3857	207	15	diagonal	diagonal	ADJ
cana-3857	207	16	optimal	optimal	ADJ
cana-3857	207	17	approach	approach	NOUN
cana-3857	207	18	for	for	ADP
cana-3857	207	19	assignment	assignment	NOUN
cana-3857	207	20	problem	problem	NOUN
cana-3857	207	21	,	,	PUNCT
cana-3857	207	22	applied	apply	VERB
cana-3857	207	23	mathematical	mathematical	ADJ
cana-3857	207	24	sciences	science	NOUN
cana-3857	207	25	,	,	PUNCT
cana-3857	207	26	8(160	8(160	NUM
cana-3857	207	27	)	)	PUNCT
cana-3857	207	28	(	(	PUNCT
cana-3857	207	29	2014	2014	NUM
cana-3857	207	30	)	)	PUNCT
cana-3857	207	31	,	,	PUNCT
cana-3857	207	32	7979	7979	NUM
cana-3857	207	33	-	-	SYM
cana-3857	207	34	7986	7986	NUM
cana-3857	207	35	.	.	PUNCT
cana-3857	208	1	[	[	X
cana-3857	208	2	13	13	NUM
cana-3857	208	3	]	]	X
cana-3857	208	4	p.s	p.s	PROPN
cana-3857	208	5	.	.	PROPN
cana-3857	208	6	kumar	kumar	PROPN
cana-3857	208	7	and	and	CCONJ
cana-3857	208	8	r.j	r.j	PROPN
cana-3857	208	9	.	.	PROPN
cana-3857	208	10	hussain	hussain	PROPN
cana-3857	208	11	,	,	PUNCT
cana-3857	208	12	a	a	DET
cana-3857	208	13	systematic	systematic	ADJ
cana-3857	208	14	approach	approach	NOUN
cana-3857	208	15	for	for	ADP
cana-3857	208	16	solving	solve	VERB
cana-3857	208	17	mixed	mixed	ADJ
cana-3857	208	18	intuitionistic	intuitionistic	ADJ
cana-3857	208	19	fuzzy	fuzzy	ADJ
cana-3857	208	20	transportation	transportation	NOUN
cana-3857	208	21	problems	problem	NOUN
cana-3857	208	22	,	,	PUNCT
cana-3857	208	23	international	international	ADJ
cana-3857	208	24	journal	journal	NOUN
cana-3857	208	25	of	of	ADP
cana-3857	208	26	pure	pure	ADJ
cana-3857	208	27	and	and	CCONJ
cana-3857	208	28	applied	applied	ADJ
cana-3857	208	29	mathematics	mathematic	NOUN
cana-3857	208	30	,	,	PUNCT
cana-3857	208	31	92(2014	92(2014	NOUN
cana-3857	208	32	)	)	PUNCT
cana-3857	208	33	,	,	PUNCT
cana-3857	208	34	181	181	NUM
cana-3857	208	35	-	-	SYM
cana-3857	208	36	190	190	NUM
cana-3857	208	37	.	.	PUNCT
cana-3857	209	1	[	[	X
cana-3857	209	2	14	14	NUM
cana-3857	209	3	]	]	X
cana-3857	209	4	m.k	m.k	PROPN
cana-3857	209	5	.	.	PROPN
cana-3857	209	6	purushothkumar	purushothkumar	PROPN
cana-3857	209	7	,	,	PUNCT
cana-3857	209	8	m.	m.	NOUN
cana-3857	209	9	ananathanarayanan	ananathanarayanan	PROPN
cana-3857	209	10	,	,	PUNCT
cana-3857	209	11	s.	s.	PROPN
cana-3857	209	12	dhanasekar	dhanasekar	PROPN
cana-3857	209	13	,	,	PUNCT
cana-3857	209	14	a	a	DET
cana-3857	209	15	diagonal	diagonal	ADJ
cana-3857	209	16	optimal	optimal	ADJ
cana-3857	209	17	algorithm	algorithm	NOUN
cana-3857	209	18	to	to	PART
cana-3857	209	19	solve	solve	VERB
cana-3857	209	20	interval	interval	NOUN
cana-3857	209	21	integer	integer	NOUN
cana-3857	209	22	transportation	transportation	NOUN
cana-3857	209	23	problems	problem	NOUN
cana-3857	209	24	,	,	PUNCT
cana-3857	209	25	arpn	arpn	VERB
cana-3857	209	26	journal	journal	NOUN
cana-3857	209	27	of	of	ADP
cana-3857	209	28	engineering	engineering	NOUN
cana-3857	209	29	and	and	CCONJ
cana-3857	209	30	applied	apply	VERB
cana-3857	209	31	sciences	science	NOUN
cana-3857	209	32	,	,	PUNCT
cana-3857	209	33	13(18	13(18	NUM
cana-3857	209	34	)	)	PUNCT
cana-3857	209	35	(	(	PUNCT
cana-3857	209	36	2018	2018	NUM
cana-3857	209	37	)	)	PUNCT
cana-3857	209	38	,	,	PUNCT
cana-3857	209	39	13702	13702	NUM
cana-3857	209	40	-	-	SYM
cana-3857	209	41	13704	13704	NUM
cana-3857	209	42	.	.	PUNCT
cana-3857	210	1	[	[	X
cana-3857	210	2	15	15	NUM
cana-3857	210	3	]	]	X
cana-3857	210	4	m.k	m.k	PROPN
cana-3857	210	5	.	.	PROPN
cana-3857	210	6	purushothkumar	purushothkumar	PROPN
cana-3857	210	7	,	,	PUNCT
cana-3857	210	8	m.	m.	NOUN
cana-3857	210	9	ananathanarayanan	ananathanarayanan	PROPN
cana-3857	210	10	,	,	PUNCT
cana-3857	210	11	s.	s.	PROPN
cana-3857	210	12	dhanasekar	dhanasekar	PROPN
cana-3857	210	13	,	,	PUNCT
cana-3857	210	14	fuzzy	fuzzy	ADJ
cana-3857	210	15	diagonal	diagonal	ADJ
cana-3857	210	16	optimal	optimal	ADJ
cana-3857	210	17	algorithm	algorithm	NOUN
cana-3857	210	18	to	to	PART
cana-3857	210	19	solve	solve	VERB
cana-3857	210	20	fully	fully	ADV
cana-3857	210	21	fuzzy	fuzzy	ADJ
cana-3857	210	22	transportation	transportation	NOUN
cana-3857	210	23	problems	problem	NOUN
cana-3857	210	24	,	,	PUNCT
cana-3857	210	25	arpn	arpn	VERB
cana-3857	210	26	journal	journal	NOUN
cana-3857	210	27	of	of	ADP
cana-3857	210	28	engineering	engineering	NOUN
cana-3857	210	29	and	and	CCONJ
cana-3857	210	30	applied	apply	VERB
cana-3857	210	31	sciences	science	NOUN
cana-3857	210	32	,	,	PUNCT
cana-3857	210	33	14(19	14(19	NUM
cana-3857	210	34	)	)	PUNCT
cana-3857	210	35	(	(	PUNCT
cana-3857	210	36	2019	2019	NUM
cana-3857	210	37	)	)	PUNCT
cana-3857	210	38	,	,	PUNCT
cana-3857	210	39	2450	2450	NUM
cana-3857	210	40	-	-	SYM
cana-3857	210	41	3454	3454	NUM
cana-3857	210	42	.	.	PUNCT
cana-3857	211	1	communications	communication	NOUN
cana-3857	211	2	on	on	ADP
cana-3857	211	3	applied	apply	VERB
cana-3857	211	4	nonlinear	nonlinear	ADJ
cana-3857	211	5	analysis	analysis	NOUN
cana-3857	211	6	issn	issn	NOUN
cana-3857	211	7	:	:	PUNCT
cana-3857	211	8	1074	1074	NUM
cana-3857	211	9	-	-	PUNCT
cana-3857	211	10	133x	133x	NUM
cana-3857	211	11	vol	vol	NOUN
cana-3857	211	12	32	32	NUM
cana-3857	211	13	no	no	NOUN
cana-3857	211	14	.	.	PUNCT
cana-3857	212	1	9s	9s	NUM
cana-3857	212	2	(	(	PUNCT
cana-3857	212	3	2025	2025	NUM
cana-3857	212	4	)	)	PUNCT
cana-3857	212	5	312	312	NUM
cana-3857	212	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3857	213	1	[	[	X
cana-3857	213	2	16	16	NUM
cana-3857	213	3	]	]	X
cana-3857	213	4	a.k	a.k	PROPN
cana-3857	213	5	.	.	PROPN
cana-3857	213	6	shukla	shukla	PROPN
cana-3857	213	7	,	,	PUNCT
cana-3857	213	8	v.	v.	PROPN
cana-3857	213	9	prakash	prakash	PROPN
cana-3857	213	10	,	,	PUNCT
cana-3857	213	11	r.	r.	PROPN
cana-3857	213	12	nath	nath	PROPN
cana-3857	213	13	,	,	PUNCT
cana-3857	213	14	and	and	CCONJ
cana-3857	213	15	p.k	p.k	PROPN
cana-3857	213	16	.	.	PROPN
cana-3857	213	17	muhuri	muhuri	PROPN
cana-3857	213	18	,	,	PUNCT
cana-3857	213	19	type-2	type-2	NUM
cana-3857	213	20	intuitionistic	intuitionistic	ADJ
cana-3857	213	21	fuzzy	fuzzy	ADJ
cana-3857	213	22	todim	todim	NOUN
cana-3857	213	23	for	for	ADP
cana-3857	213	24	intelligent	intelligent	ADJ
cana-3857	213	25	decision	decision	NOUN
cana-3857	213	26	-	-	PUNCT
cana-3857	213	27	making	making	NOUN
cana-3857	213	28	under	under	ADP
cana-3857	213	29	uncertainty	uncertainty	NOUN
cana-3857	213	30	and	and	CCONJ
cana-3857	213	31	hesitancy	hesitancy	NOUN
cana-3857	213	32	,	,	PUNCT
cana-3857	213	33	soft	soft	ADJ
cana-3857	213	34	computing	computing	NOUN
cana-3857	213	35	,	,	PUNCT
cana-3857	213	36	27(18	27(18	NUM
cana-3857	213	37	)	)	PUNCT
cana-3857	213	38	(	(	PUNCT
cana-3857	213	39	2023	2023	NUM
cana-3857	213	40	)	)	PUNCT
cana-3857	213	41	,	,	PUNCT
cana-3857	213	42	13373	13373	NUM
cana-3857	213	43	-	-	SYM
cana-3857	213	44	13390	13390	NUM
cana-3857	213	45	.	.	PUNCT
cana-3857	214	1	[	[	X
cana-3857	214	2	17	17	NUM
cana-3857	214	3	]	]	X
cana-3857	214	4	singh	singh	PROPN
cana-3857	214	5	s.k	s.k	PROPN
cana-3857	214	6	and	and	CCONJ
cana-3857	214	7	yadav	yadav	PROPN
cana-3857	214	8	s.p	s.p	PROPN
cana-3857	214	9	,	,	PUNCT
cana-3857	214	10	a	a	DET
cana-3857	214	11	new	new	ADJ
cana-3857	214	12	approach	approach	NOUN
cana-3857	214	13	for	for	ADP
cana-3857	214	14	solving	solve	VERB
cana-3857	214	15	intuitionistic	intuitionistic	ADJ
cana-3857	214	16	fuzzy	fuzzy	ADJ
cana-3857	214	17	transportation	transportation	NOUN
cana-3857	214	18	problem	problem	NOUN
cana-3857	214	19	of	of	ADP
cana-3857	214	20	type-2	type-2	NUM
cana-3857	214	21	,	,	PUNCT
cana-3857	214	22	annals	annal	NOUN
cana-3857	214	23	of	of	ADP
cana-3857	214	24	operations	operation	NOUN
cana-3857	214	25	research	research	NOUN
cana-3857	214	26	,	,	PUNCT
cana-3857	214	27	243(2016	243(2016	NUM
cana-3857	214	28	)	)	PUNCT
cana-3857	214	29	,	,	PUNCT
cana-3857	214	30	349	349	NUM
cana-3857	214	31	-	-	SYM
cana-3857	214	32	363	363	NUM
cana-3857	214	33	.	.	PUNCT
cana-3857	215	1	[	[	X
cana-3857	215	2	18	18	NUM
cana-3857	215	3	]	]	PUNCT
cana-3857	215	4	s.	s.	PROPN
cana-3857	215	5	taghikhani	taghikhani	PROPN
cana-3857	215	6	,	,	PUNCT
cana-3857	215	7	f.	f.	PROPN
cana-3857	215	8	baroughi	baroughi	PROPN
cana-3857	215	9	,	,	PUNCT
cana-3857	215	10	b.	b.	PROPN
cana-3857	215	11	alizadeh	alizadeh	PROPN
cana-3857	215	12	,	,	PUNCT
cana-3857	215	13	mean	mean	ADJ
cana-3857	215	14	-	-	PUNCT
cana-3857	215	15	variance	variance	NOUN
cana-3857	215	16	value	value	NOUN
cana-3857	215	17	at	at	ADP
cana-3857	215	18	risk	risk	NOUN
cana-3857	215	19	criterion	criterion	NOUN
cana-3857	215	20	for	for	ADP
cana-3857	215	21	solving	solve	VERB
cana-3857	215	22	a	a	DET
cana-3857	215	23	p	p	ADJ
cana-3857	215	24	-	-	PUNCT
cana-3857	215	25	median	median	ADJ
cana-3857	215	26	location	location	NOUN
cana-3857	215	27	problem	problem	NOUN
cana-3857	215	28	on	on	ADP
cana-3857	215	29	networks	network	NOUN
cana-3857	215	30	with	with	ADP
cana-3857	215	31	type-2	type-2	NUM
cana-3857	215	32	intuitionistic	intuitionistic	ADJ
cana-3857	215	33	fuzzy	fuzzy	ADJ
cana-3857	215	34	weights	weight	NOUN
cana-3857	215	35	,	,	PUNCT
cana-3857	215	36	journal	journal	NOUN
cana-3857	215	37	of	of	ADP
cana-3857	215	38	computational	computational	ADJ
cana-3857	215	39	and	and	CCONJ
cana-3857	215	40	applied	applied	ADJ
cana-3857	215	41	mathematics	mathematic	NOUN
cana-3857	215	42	(	(	PUNCT
cana-3857	215	43	2023	2023	NUM
cana-3857	215	44	)	)	PUNCT
cana-3857	215	45	,	,	PUNCT
cana-3857	215	46	115481	115481	NUM
cana-3857	215	47	.	.	PUNCT
cana-3857	216	1	[	[	X
cana-3857	216	2	19	19	NUM
cana-3857	216	3	]	]	X
cana-3857	216	4	l.a	l.a	PROPN
cana-3857	216	5	.	.	PROPN
cana-3857	216	6	zadeh	zadeh	PROPN
cana-3857	216	7	,	,	PUNCT
cana-3857	216	8	fuzzy	fuzzy	ADJ
cana-3857	216	9	frank	frank	ADJ
cana-3857	216	10	sets	set	NOUN
cana-3857	216	11	,	,	PUNCT
cana-3857	216	12	information	information	NOUN
cana-3857	216	13	and	and	CCONJ
cana-3857	216	14	control	control	NOUN
cana-3857	216	15	,	,	PUNCT
cana-3857	216	16	8(3	8(3	NUM
cana-3857	216	17	)	)	PUNCT
cana-3857	216	18	(	(	PUNCT
cana-3857	216	19	1965	1965	NUM
cana-3857	216	20	)	)	PUNCT
cana-3857	216	21	,	,	PUNCT
cana-3857	216	22	338	338	NUM
cana-3857	216	23	-	-	SYM
cana-3857	216	24	353	353	NUM
cana-3857	216	25	.	.	PUNCT