id	sid	tid	token	lemma	pos
cana-6067	1	1	communications	communication	NOUN
cana-6067	1	2	on	on	ADP
cana-6067	1	3	applied	apply	VERB
cana-6067	1	4	nonlinear	nonlinear	ADJ
cana-6067	1	5	analysis	analysis	NOUN
cana-6067	1	6	issn	issn	NOUN
cana-6067	1	7	:	:	PUNCT
cana-6067	1	8	1074	1074	NUM
cana-6067	1	9	-	-	PUNCT
cana-6067	1	10	133x	133x	NUM
cana-6067	1	11	vol	vol	VERB
cana-6067	1	12	32	32	NUM
cana-6067	1	13	no	no	NOUN
cana-6067	1	14	.	.	PUNCT
cana-6067	2	1	10s	10	NOUN
cana-6067	2	2	(	(	PUNCT
cana-6067	2	3	2025	2025	NUM
cana-6067	2	4	)	)	PUNCT
cana-6067	2	5	3279	3279	NUM
cana-6067	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6067	2	7	comparitive	comparitive	NOUN
cana-6067	2	8	study	study	NOUN
cana-6067	2	9	of	of	ADP
cana-6067	2	10	transportation	transportation	NOUN
cana-6067	2	11	problem	problem	NOUN
cana-6067	2	12	and	and	CCONJ
cana-6067	2	13	fuzzy	fuzzy	ADJ
cana-6067	2	14	transportation	transportation	NOUN
cana-6067	2	15	problem	problem	NOUN
cana-6067	2	16	by	by	ADP
cana-6067	2	17	reuben	reuben	PROPN
cana-6067	2	18	’s	’s	PART
cana-6067	2	19	ranking	rank	VERB
cana-6067	2	20	system	system	NOUN
cana-6067	2	21	t.	t.	NOUN
cana-6067	2	22	anithakumari1	anithakumari1	PROPN
cana-6067	2	23	,	,	PUNCT
cana-6067	2	24	b.	b.	PROPN
cana-6067	2	25	venkateswarlu2	venkateswarlu2	PROPN
cana-6067	2	26	,	,	PUNCT
cana-6067	2	27	1	1	X
cana-6067	2	28	.	.	X
cana-6067	2	29	department	department	NOUN
cana-6067	2	30	of	of	ADP
cana-6067	2	31	mathematics	mathematics	PROPN
cana-6067	2	32	,	,	PUNCT
cana-6067	2	33	rayalaseema	rayalaseema	ADJ
cana-6067	2	34	university	university	PROPN
cana-6067	2	35	,	,	PUNCT
cana-6067	2	36	kurnool	kurnool	PROPN
cana-6067	2	37	,	,	PUNCT
cana-6067	2	38	andhra	andhra	PROPN
cana-6067	2	39	pradesh	pradesh	PROPN
cana-6067	2	40	,	,	PUNCT
cana-6067	2	41	india	india	PROPN
cana-6067	2	42	.	.	PUNCT
cana-6067	2	43	email	email	NOUN
cana-6067	2	44	id:anithatatigutla@gmail.com	id:anithatatigutla@gmail.com	PART
cana-6067	3	1	2	2	NUM
cana-6067	3	2	.	.	PUNCT
cana-6067	3	3	department	department	NOUN
cana-6067	3	4	of	of	ADP
cana-6067	3	5	mathematics	mathematic	NOUN
cana-6067	3	6	,	,	PUNCT
cana-6067	3	7	school	school	NOUN
cana-6067	3	8	of	of	ADP
cana-6067	3	9	advanced	advanced	ADJ
cana-6067	3	10	sciences	science	NOUN
cana-6067	3	11	,	,	PUNCT
cana-6067	3	12	vit	vit	NOUN
cana-6067	3	13	,	,	PUNCT
cana-6067	3	14	vellore	vellore	NOUN
cana-6067	3	15	,	,	PUNCT
cana-6067	3	16	tamil	tamil	PROPN
cana-6067	3	17	nadu	nadu	PROPN
cana-6067	3	18	,	,	PUNCT
cana-6067	3	19	india	india	PROPN
cana-6067	3	20	.	.	PUNCT
cana-6067	4	1	email	email	NOUN
cana-6067	5	1	i	i	PROPN
cana-6067	5	2	d	d	PROPN
cana-6067	5	3	:	:	PUNCT
cana-6067	5	4	venkatesh.reddy@vit.ac.in	venkatesh.reddy@vit.ac.in	NOUN
cana-6067	5	5	article	article	NOUN
cana-6067	5	6	history	history	NOUN
cana-6067	5	7	:	:	PUNCT
cana-6067	5	8	received	receive	VERB
cana-6067	5	9	:	:	PUNCT
cana-6067	5	10	01/01/2025	01/01/2025	NUM
cana-6067	5	11	revised	revise	VERB
cana-6067	5	12	:	:	PUNCT
cana-6067	5	13	06/02/2025	06/02/2025	NUM
cana-6067	5	14	accepted	accept	VERB
cana-6067	5	15	:	:	PUNCT
cana-6067	5	16	10/03/2025	10/03/2025	NUM
cana-6067	5	17	abstract	abstract	NOUN
cana-6067	5	18	:	:	PUNCT
cana-6067	5	19	“	"	PUNCT
cana-6067	5	20	linear	linear	ADJ
cana-6067	5	21	programming	programming	NOUN
cana-6067	5	22	problem	problem	NOUN
cana-6067	5	23	”	"	PUNCT
cana-6067	5	24	was	be	AUX
cana-6067	5	25	first	first	ADV
cana-6067	5	26	used	use	VERB
cana-6067	5	27	for	for	ADP
cana-6067	5	28	the	the	DET
cana-6067	5	29	“	"	PUNCT
cana-6067	5	30	transportation	transportation	NOUN
cana-6067	5	31	problem	problem	NOUN
cana-6067	5	32	.	.	PUNCT
cana-6067	5	33	”	"	PUNCT
cana-6067	6	1	fuzzy	fuzzy	ADJ
cana-6067	6	2	numbers	number	NOUN
cana-6067	6	3	provided	provide	VERB
cana-6067	6	4	the	the	DET
cana-6067	6	5	best	good	ADJ
cana-6067	6	6	estimate	estimate	NOUN
cana-6067	6	7	of	of	ADP
cana-6067	6	8	transportation	transportation	NOUN
cana-6067	6	9	unit	unit	NOUN
cana-6067	6	10	costs	cost	NOUN
cana-6067	6	11	and	and	CCONJ
cana-6067	6	12	quantities	quantity	NOUN
cana-6067	6	13	,	,	PUNCT
cana-6067	6	14	which	which	PRON
cana-6067	6	15	are	be	AUX
cana-6067	6	16	often	often	ADV
cana-6067	6	17	impossible	impossible	ADJ
cana-6067	6	18	to	to	PART
cana-6067	6	19	determine	determine	VERB
cana-6067	6	20	in	in	ADP
cana-6067	6	21	real	real	ADJ
cana-6067	6	22	-	-	PUNCT
cana-6067	6	23	world	world	NOUN
cana-6067	6	24	scenarios	scenario	NOUN
cana-6067	6	25	.	.	PUNCT
cana-6067	7	1	in	in	ADP
cana-6067	7	2	many	many	ADJ
cana-6067	7	3	every	every	DET
cana-6067	7	4	day	day	NOUN
cana-6067	7	5	real	real	ADJ
cana-6067	7	6	world	world	NOUN
cana-6067	7	7	circumstances	circumstance	NOUN
cana-6067	7	8	,	,	PUNCT
cana-6067	7	9	although	although	SCONJ
cana-6067	7	10	exact	exact	ADJ
cana-6067	7	11	values	value	NOUN
cana-6067	7	12	for	for	ADP
cana-6067	7	13	transportation	transportation	NOUN
cana-6067	7	14	cost	cost	NOUN
cana-6067	7	15	and	and	CCONJ
cana-6067	7	16	quantities	quantity	NOUN
cana-6067	7	17	can	can	AUX
cana-6067	7	18	not	not	PART
cana-6067	7	19	be	be	AUX
cana-6067	7	20	determined	determine	VERB
cana-6067	7	21	,	,	PUNCT
cana-6067	7	22	fuzzy	fuzzy	ADJ
cana-6067	7	23	numbers	number	NOUN
cana-6067	7	24	provide	provide	VERB
cana-6067	7	25	the	the	DET
cana-6067	7	26	closest	close	ADJ
cana-6067	7	27	possible	possible	ADJ
cana-6067	7	28	estimates	estimate	NOUN
cana-6067	7	29	.	.	PUNCT
cana-6067	8	1	the	the	DET
cana-6067	8	2	literature	literature	PROPN
cana-6067	8	3	review	review	NOUN
cana-6067	8	4	includes	include	VERB
cana-6067	8	5	several	several	ADJ
cana-6067	8	6	ways	way	NOUN
cana-6067	8	7	for	for	ADP
cana-6067	8	8	resolving	resolve	VERB
cana-6067	8	9	transportation	transportation	NOUN
cana-6067	8	10	difficulties	difficulty	NOUN
cana-6067	8	11	in	in	ADP
cana-6067	8	12	fuzzy	fuzzy	ADJ
cana-6067	8	13	environments	environment	NOUN
cana-6067	8	14	,	,	PUNCT
cana-6067	8	15	the	the	DET
cana-6067	8	16	parameters	parameter	NOUN
cana-6067	8	17	of	of	ADP
cana-6067	8	18	each	each	PRON
cana-6067	8	19	of	of	ADP
cana-6067	8	20	these	these	DET
cana-6067	8	21	approaches	approach	NOUN
cana-6067	8	22	are	be	AUX
cana-6067	8	23	often	often	ADV
cana-6067	8	24	fuzzy	fuzzy	ADJ
cana-6067	8	25	numbers	number	NOUN
cana-6067	8	26	(	(	PUNCT
cana-6067	8	27	fn	fn	NOUN
cana-6067	8	28	)	)	PUNCT
cana-6067	8	29	.	.	PUNCT
cana-6067	9	1	this	this	DET
cana-6067	9	2	paper	paper	NOUN
cana-6067	9	3	introduces	introduce	VERB
cana-6067	9	4	an	an	DET
cana-6067	9	5	innovative	innovative	ADJ
cana-6067	9	6	strategy	strategy	NOUN
cana-6067	9	7	based	base	VERB
cana-6067	9	8	on	on	ADP
cana-6067	9	9	the	the	DET
cana-6067	9	10	triangular	triangular	NOUN
cana-6067	9	11	fuzzy	fuzzy	ADJ
cana-6067	9	12	set	set	NOUN
cana-6067	9	13	for	for	ADP
cana-6067	9	14	determining	determine	VERB
cana-6067	9	15	the	the	DET
cana-6067	9	16	unit	unit	NOUN
cana-6067	9	17	fuzzy	fuzzy	ADJ
cana-6067	9	18	cost	cost	NOUN
cana-6067	9	19	of	of	ADP
cana-6067	9	20	transportation	transportation	NOUN
cana-6067	9	21	of	of	ADP
cana-6067	9	22	a	a	DET
cana-6067	9	23	unit	unit	NOUN
cana-6067	9	24	product	product	NOUN
cana-6067	9	25	,	,	PUNCT
cana-6067	9	26	with	with	ADP
cana-6067	9	27	a	a	DET
cana-6067	9	28	focus	focus	NOUN
cana-6067	9	29	on	on	ADP
cana-6067	9	30	a	a	DET
cana-6067	9	31	general	general	ADJ
cana-6067	9	32	fuzzy	fuzzy	ADJ
cana-6067	9	33	transportation	transportation	NOUN
cana-6067	9	34	problem	problem	NOUN
cana-6067	9	35	,	,	PUNCT
cana-6067	9	36	and	and	CCONJ
cana-6067	9	37	introduces	introduce	VERB
cana-6067	9	38	a	a	DET
cana-6067	9	39	novel	novel	ADJ
cana-6067	9	40	method	method	NOUN
cana-6067	9	41	that	that	PRON
cana-6067	9	42	is	be	AUX
cana-6067	9	43	based	base	VERB
cana-6067	9	44	on	on	ADP
cana-6067	9	45	the	the	DET
cana-6067	9	46	triangular	triangular	NOUN
cana-6067	9	47	fuzzy	fuzzy	ADJ
cana-6067	9	48	set	set	VERB
cana-6067	9	49	for	for	ADP
cana-6067	9	50	calculating	calculate	VERB
cana-6067	9	51	the	the	DET
cana-6067	9	52	fuzzy	fuzzy	ADJ
cana-6067	9	53	cost	cost	NOUN
cana-6067	9	54	of	of	ADP
cana-6067	9	55	transportation	transportation	NOUN
cana-6067	9	56	of	of	ADP
cana-6067	9	57	a	a	DET
cana-6067	9	58	product	product	NOUN
cana-6067	9	59	,	,	PUNCT
cana-6067	9	60	and	and	CCONJ
cana-6067	9	61	reuben	reuben	PROPN
cana-6067	9	62	’s	’s	PART
cana-6067	9	63	ranking	ranking	NOUN
cana-6067	9	64	method	method	NOUN
cana-6067	9	65	is	be	AUX
cana-6067	9	66	used	use	VERB
cana-6067	9	67	for	for	ADP
cana-6067	9	68	crisp	crisp	ADJ
cana-6067	9	69	values	value	NOUN
cana-6067	9	70	.	.	PUNCT
cana-6067	10	1	to	to	PART
cana-6067	10	2	attain	attain	VERB
cana-6067	10	3	the	the	DET
cana-6067	10	4	best	good	ADJ
cana-6067	10	5	results	result	NOUN
cana-6067	10	6	in	in	ADP
cana-6067	10	7	complex	complex	ADJ
cana-6067	10	8	formulations	formulation	NOUN
cana-6067	10	9	and	and	CCONJ
cana-6067	10	10	equations	equation	NOUN
cana-6067	10	11	,	,	PUNCT
cana-6067	10	12	they	they	PRON
cana-6067	10	13	are	be	AUX
cana-6067	10	14	in	in	ADP
cana-6067	10	15	an	an	DET
cana-6067	10	16	understandable	understandable	ADJ
cana-6067	10	17	way	way	NOUN
cana-6067	10	18	.	.	PUNCT
cana-6067	11	1	reuben	reuben	PROPN
cana-6067	11	2	’s	’s	PART
cana-6067	11	3	ranking	ranking	NOUN
cana-6067	11	4	method	method	NOUN
cana-6067	11	5	is	be	AUX
cana-6067	11	6	used	use	VERB
cana-6067	11	7	for	for	ADP
cana-6067	11	8	defuzzyfing	defuzzyfe	VERB
cana-6067	11	9	triangular	triangular	NOUN
cana-6067	11	10	numbers	number	NOUN
cana-6067	11	11	.	.	PUNCT
cana-6067	12	1	toobtain	toobtain	VERB
cana-6067	12	2	a	a	DET
cana-6067	12	3	better	well	ADV
cana-6067	12	4	optimal	optimal	ADJ
cana-6067	12	5	solution	solution	NOUN
cana-6067	12	6	,	,	PUNCT
cana-6067	12	7	it	it	PRON
cana-6067	12	8	may	may	AUX
cana-6067	12	9	be	be	AUX
cana-6067	12	10	good	good	ADJ
cana-6067	12	11	to	to	PART
cana-6067	12	12	consider	consider	VERB
cana-6067	12	13	both	both	DET
cana-6067	12	14	criteria	criterion	NOUN
cana-6067	12	15	.	.	PUNCT
cana-6067	13	1	numerical	numerical	ADJ
cana-6067	13	2	examples	example	NOUN
cana-6067	13	3	are	be	AUX
cana-6067	13	4	used	use	VERB
cana-6067	13	5	to	to	PART
cana-6067	13	6	demonstrate	demonstrate	VERB
cana-6067	13	7	the	the	DET
cana-6067	13	8	solution	solution	NOUN
cana-6067	13	9	technique	technique	NOUN
cana-6067	13	10	.	.	PUNCT
cana-6067	14	1	the	the	DET
cana-6067	14	2	reuben	reuben	PROPN
cana-6067	14	3	’s	’s	PART
cana-6067	14	4	ranking	rank	VERB
cana-6067	14	5	method	method	NOUN
cana-6067	14	6	helps	help	VERB
cana-6067	14	7	decision	decision	NOUN
cana-6067	14	8	makers	maker	NOUN
cana-6067	14	9	solve	solve	VERB
cana-6067	14	10	real	real	ADJ
cana-6067	14	11	-	-	PUNCT
cana-6067	14	12	world	world	NOUN
cana-6067	14	13	transportation	transportation	NOUN
cana-6067	14	14	scenarios	scenario	NOUN
cana-6067	14	15	where	where	SCONJ
cana-6067	14	16	some	some	PRON
cana-6067	14	17	or	or	CCONJ
cana-6067	14	18	all	all	PRON
cana-6067	14	19	of	of	ADP
cana-6067	14	20	the	the	DET
cana-6067	14	21	parameters	parameter	NOUN
cana-6067	14	22	are	be	AUX
cana-6067	14	23	fuzzy	fuzzy	ADJ
cana-6067	14	24	set	set	VERB
cana-6067	14	25	integers	integer	NOUN
cana-6067	14	26	.	.	PUNCT
cana-6067	15	1	keywords	keyword	NOUN
cana-6067	15	2	:	:	PUNCT
cana-6067	15	3	transportation	transportation	NOUN
cana-6067	15	4	problem	problem	NOUN
cana-6067	15	5	,	,	PUNCT
cana-6067	15	6	fuzzy	fuzzy	ADJ
cana-6067	15	7	transportation	transportation	NOUN
cana-6067	15	8	,	,	PUNCT
cana-6067	15	9	triangular	triangular	ADJ
cana-6067	15	10	fuzzy	fuzzy	ADJ
cana-6067	15	11	number	number	NOUN
cana-6067	15	12	,	,	PUNCT
cana-6067	15	13	reuben	reuben	PROPN
cana-6067	15	14	’s	’s	PART
cana-6067	15	15	ranking	ranking	NOUN
cana-6067	15	16	,	,	PUNCT
cana-6067	15	17	de	de	ADP
cana-6067	15	18	fuzzi	fuzzi	ADJ
cana-6067	15	19	fication	fication	NOUN
cana-6067	15	20	crisp	crisp	ADJ
cana-6067	15	21	value	value	NOUN
cana-6067	15	22	.	.	PUNCT
cana-6067	16	1	1	1	X
cana-6067	16	2	.	.	X
cana-6067	16	3	introduction	introduction	NOUN
cana-6067	16	4	to	to	PART
cana-6067	16	5	determine	determine	VERB
cana-6067	16	6	the	the	DET
cana-6067	16	7	most	most	ADV
cana-6067	16	8	effective	effective	ADJ
cana-6067	16	9	solution	solution	NOUN
cana-6067	17	1	,	,	PUNCT
cana-6067	17	2	the	the	DET
cana-6067	17	3	study	study	NOUN
cana-6067	17	4	uses	use	VERB
cana-6067	17	5	triangular	triangular	NOUN
cana-6067	17	6	fuzzy	fuzzy	ADJ
cana-6067	17	7	logic	logic	NOUN
cana-6067	17	8	to	to	PART
cana-6067	17	9	solve	solve	VERB
cana-6067	17	10	the	the	DET
cana-6067	17	11	transportation	transportation	NOUN
cana-6067	17	12	problem	problem	NOUN
cana-6067	17	13	by	by	ADP
cana-6067	17	14	applying	apply	VERB
cana-6067	17	15	reuben	reuben	PROPN
cana-6067	17	16	’s	’s	PART
cana-6067	17	17	ranking	rank	VERB
cana-6067	17	18	crisp	crisp	ADJ
cana-6067	17	19	value	value	NOUN
cana-6067	17	20	.	.	PUNCT
cana-6067	18	1	a	a	DET
cana-6067	18	2	transportation	transportation	NOUN
cana-6067	18	3	problem	problem	NOUN
cana-6067	18	4	(	(	PUNCT
cana-6067	18	5	tp	tp	NOUN
cana-6067	18	6	)	)	PUNCT
cana-6067	18	7	is	be	AUX
cana-6067	18	8	a	a	DET
cana-6067	18	9	specific	specific	ADJ
cana-6067	18	10	kind	kind	NOUN
cana-6067	18	11	of	of	ADP
cana-6067	18	12	linear	linear	ADJ
cana-6067	18	13	programming	programming	NOUN
cana-6067	18	14	problem	problem	NOUN
cana-6067	18	15	(	(	PUNCT
cana-6067	18	16	lpp	lpp	PROPN
cana-6067	18	17	)	)	PUNCT
cana-6067	18	18	in	in	ADP
cana-6067	18	19	which	which	PRON
cana-6067	18	20	a	a	DET
cana-6067	18	21	single	single	ADJ
cana-6067	18	22	commodity	commodity	NOUN
cana-6067	18	23	must	must	AUX
cana-6067	18	24	be	be	AUX
cana-6067	18	25	distributed	distribute	VERB
cana-6067	18	26	from	from	ADP
cana-6067	18	27	multiple	multiple	ADJ
cana-6067	18	28	supply	supply	NOUN
cana-6067	18	29	sources	source	NOUN
cana-6067	18	30	to	to	ADP
cana-6067	18	31	multiple	multiple	ADJ
cana-6067	18	32	demand	demand	NOUN
cana-6067	18	33	locations	location	NOUN
cana-6067	18	34	while	while	SCONJ
cana-6067	18	35	minimizing	minimize	VERB
cana-6067	18	36	total	total	ADJ
cana-6067	18	37	transportation	transportation	NOUN
cana-6067	18	38	costs	cost	NOUN
cana-6067	18	39	.	.	PUNCT
cana-6067	19	1	numerous	numerous	ADJ
cana-6067	19	2	efficient	efficient	ADJ
cana-6067	19	3	algorithms	algorithm	NOUN
cana-6067	19	4	exist	exist	VERB
cana-6067	19	5	for	for	ADP
cana-6067	19	6	addressing	address	VERB
cana-6067	19	7	transportation	transportation	NOUN
cana-6067	19	8	-	-	PUNCT
cana-6067	19	9	related	relate	VERB
cana-6067	19	10	problems	problem	NOUN
cana-6067	19	11	in	in	ADP
cana-6067	19	12	which	which	PRON
cana-6067	19	13	every	every	DET
cana-6067	19	14	decision	decision	NOUN
cana-6067	19	15	criterion	criterion	NOUN
cana-6067	19	16	-	-	PUNCT
cana-6067	19	17	that	that	ADV
cana-6067	19	18	is	be	AUX
cana-6067	19	19	,	,	PUNCT
cana-6067	19	20	the	the	DET
cana-6067	19	21	demand	demand	NOUN
cana-6067	19	22	at	at	ADP
cana-6067	19	23	each	each	DET
cana-6067	19	24	destination	destination	NOUN
cana-6067	19	25	,	,	PUNCT
cana-6067	19	26	the	the	DET
cana-6067	19	27	supply	supply	NOUN
cana-6067	19	28	at	at	ADP
cana-6067	19	29	each	each	DET
cana-6067	19	30	source	source	NOUN
cana-6067	19	31	,	,	PUNCT
cana-6067	19	32	and	and	CCONJ
cana-6067	19	33	the	the	DET
cana-6067	19	34	unit	unit	NOUN
cana-6067	19	35	cost	cost	NOUN
cana-6067	19	36	of	of	ADP
cana-6067	19	37	transportation	transportation	NOUN
cana-6067	19	38	-	-	PUNCT
cana-6067	19	39	is	be	AUX
cana-6067	19	40	exactly	exactly	ADV
cana-6067	19	41	defined	define	VERB
cana-6067	19	42	.	.	PUNCT
cana-6067	20	1	however	however	ADV
cana-6067	20	2	,	,	PUNCT
cana-6067	20	3	there	there	PRON
cana-6067	20	4	are	be	VERB
cana-6067	20	5	different	different	ADJ
cana-6067	20	6	circumstances	circumstance	NOUN
cana-6067	20	7	in	in	ADP
cana-6067	20	8	real	real	ADJ
cana-6067	20	9	life	life	NOUN
cana-6067	20	10	where	where	SCONJ
cana-6067	20	11	ambiguity	ambiguity	NOUN
cana-6067	20	12	in	in	ADP
cana-6067	20	13	one	one	NUM
cana-6067	20	14	or	or	CCONJ
cana-6067	20	15	more	more	ADJ
cana-6067	20	16	choice	choice	NOUN
cana-6067	20	17	criteria	criterion	NOUN
cana-6067	20	18	exists	exist	VERB
cana-6067	20	19	,	,	PUNCT
cana-6067	20	20	which	which	PRON
cana-6067	20	21	is	be	AUX
cana-6067	20	22	why	why	SCONJ
cana-6067	20	23	they	they	PRON
cana-6067	20	24	should	should	AUX
cana-6067	20	25	be	be	AUX
cana-6067	20	26	described	describe	VERB
cana-6067	20	27	precisely	precisely	ADV
cana-6067	20	28	.	.	PUNCT
cana-6067	21	1	uncertainty	uncertainty	NOUN
cana-6067	21	2	may	may	AUX
cana-6067	21	3	be	be	AUX
cana-6067	21	4	caused	cause	VERB
cana-6067	21	5	by	by	ADP
cana-6067	21	6	a	a	DET
cana-6067	21	7	variety	variety	NOUN
cana-6067	21	8	of	of	ADP
cana-6067	21	9	factors	factor	NOUN
cana-6067	21	10	,	,	PUNCT
cana-6067	21	11	including	include	VERB
cana-6067	21	12	high	high	ADJ
cana-6067	21	13	information	information	NOUN
cana-6067	21	14	costs	cost	NOUN
cana-6067	21	15	,	,	PUNCT
cana-6067	21	16	computational	computational	ADJ
cana-6067	21	17	errors	error	NOUN
cana-6067	21	18	,	,	PUNCT
cana-6067	21	19	lack	lack	NOUN
cana-6067	21	20	of	of	ADP
cana-6067	21	21	evidence	evidence	NOUN
cana-6067	21	22	,	,	PUNCT
cana-6067	21	23	and	and	CCONJ
cana-6067	21	24	inaccurate	inaccurate	ADJ
cana-6067	21	25	measurements	measurement	NOUN
cana-6067	21	26	.	.	PUNCT
cana-6067	22	1	therefore	therefore	ADV
cana-6067	22	2	,	,	PUNCT
cana-6067	22	3	we	we	PRON
cana-6067	22	4	are	be	AUX
cana-6067	22	5	unable	unable	ADJ
cana-6067	22	6	to	to	PART
cana-6067	22	7	tackle	tackle	VERB
cana-6067	22	8	transportation	transportation	NOUN
cana-6067	22	9	difficulties	difficulty	NOUN
cana-6067	22	10	using	use	VERB
cana-6067	22	11	old	old	ADJ
cana-6067	22	12	,	,	PUNCT
cana-6067	22	13	classical	classical	ADJ
cana-6067	22	14	approaches	approach	NOUN
cana-6067	22	15	to	to	PART
cana-6067	22	16	solve	solve	VERB
cana-6067	22	17	the	the	DET
cana-6067	22	18	transportation	transportation	NOUN
cana-6067	22	19	problems	problem	NOUN
cana-6067	22	20	.	.	PUNCT
cana-6067	23	1	when	when	SCONJ
cana-6067	23	2	supply	supply	NOUN
cana-6067	23	3	,	,	PUNCT
cana-6067	23	4	demand	demand	NOUN
cana-6067	23	5	,	,	PUNCT
cana-6067	23	6	and	and	CCONJ
cana-6067	23	7	transportation	transportation	NOUN
cana-6067	23	8	expenses	expense	NOUN
cana-6067	23	9	are	be	AUX
cana-6067	23	10	all	all	ADV
cana-6067	23	11	unpredictable	unpredictable	ADJ
cana-6067	23	12	.	.	PUNCT
cana-6067	24	1	the	the	DET
cana-6067	24	2	“	"	PUNCT
cana-6067	24	3	transportation	transportation	NOUN
cana-6067	24	4	problem	problem	NOUN
cana-6067	24	5	”	"	PUNCT
cana-6067	24	6	refers	refer	VERB
cana-6067	24	7	communications	communication	NOUN
cana-6067	24	8	on	on	ADP
cana-6067	24	9	applied	apply	VERB
cana-6067	24	10	nonlinear	nonlinear	ADJ
cana-6067	24	11	analysis	analysis	NOUN
cana-6067	24	12	issn	issn	NOUN
cana-6067	24	13	:	:	PUNCT
cana-6067	24	14	1074	1074	NUM
cana-6067	24	15	-	-	PUNCT
cana-6067	24	16	133x	133x	NUM
cana-6067	24	17	vol	vol	VERB
cana-6067	24	18	32	32	NUM
cana-6067	24	19	no	no	NOUN
cana-6067	24	20	.	.	PUNCT
cana-6067	25	1	10s	10	NOUN
cana-6067	25	2	(	(	PUNCT
cana-6067	25	3	2025	2025	NUM
cana-6067	25	4	)	)	PUNCT
cana-6067	25	5	3280	3280	NUM
cana-6067	25	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6067	25	7	to	to	ADP
cana-6067	25	8	the	the	DET
cana-6067	25	9	“	"	PUNCT
cana-6067	25	10	fuzzy	fuzzy	ADJ
cana-6067	25	11	transportation	transportation	NOUN
cana-6067	25	12	problem	problem	NOUN
cana-6067	25	13	.	.	PUNCT
cana-6067	25	14	”	"	PUNCT
cana-6067	26	1	the	the	DET
cana-6067	26	2	notations	notation	NOUN
cana-6067	26	3	of	of	ADP
cana-6067	26	4	fuzzy	fuzzy	ADJ
cana-6067	26	5	sets	set	NOUN
cana-6067	26	6	was	be	AUX
cana-6067	26	7	proposed	propose	VERB
cana-6067	26	8	by	by	ADP
cana-6067	26	9	zadehet	zadehet	PROPN
cana-6067	26	10	al	al	PROPN
cana-6067	26	11	.	.	PUNCT
cana-6067	27	1	[	[	X
cana-6067	27	2	1	1	NUM
cana-6067	27	3	]	]	PUNCT
cana-6067	27	4	,	,	PUNCT
cana-6067	27	5	the	the	DET
cana-6067	27	6	conception	conception	NOUN
cana-6067	27	7	of	of	ADP
cana-6067	27	8	decision	decision	NOUN
cana-6067	27	9	-	-	PUNCT
cana-6067	27	10	making	making	NOUN
cana-6067	27	11	in	in	ADP
cana-6067	27	12	fuzzy	fuzzy	ADJ
cana-6067	27	13	environments	environment	NOUN
cana-6067	27	14	was	be	AUX
cana-6067	27	15	first	first	ADV
cana-6067	27	16	presented	present	VERB
cana-6067	27	17	by	by	ADP
cana-6067	27	18	bellman	bellman	PROPN
cana-6067	27	19	et	et	PROPN
cana-6067	27	20	al	al	PROPN
cana-6067	27	21	.	.	PUNCT
cana-6067	28	1	[	[	X
cana-6067	28	2	2	2	NUM
cana-6067	28	3	]	]	PUNCT
cana-6067	28	4	,	,	PUNCT
cana-6067	28	5	and	and	CCONJ
cana-6067	28	6	following	follow	VERB
cana-6067	28	7	this	this	DET
cana-6067	28	8	groundbreaking	groundbreake	VERB
cana-6067	28	9	study	study	NOUN
cana-6067	28	10	,	,	PUNCT
cana-6067	28	11	found	find	VERB
cana-6067	28	12	the	the	DET
cana-6067	28	13	best	good	ADJ
cana-6067	28	14	solution	solution	NOUN
cana-6067	28	15	for	for	ADP
cana-6067	28	16	the	the	DET
cana-6067	28	17	transportation	transportation	NOUN
cana-6067	28	18	with	with	ADP
cana-6067	28	19	fuzzy	fuzzy	ADJ
cana-6067	28	20	cost	cost	NOUN
cana-6067	28	21	coefficient	coefficient	NOUN
cana-6067	28	22	,	,	PUNCT
cana-6067	28	23	fuzzy	fuzzy	ADJ
cana-6067	28	24	systems	system	NOUN
cana-6067	28	25	,	,	PUNCT
cana-6067	28	26	and	and	CCONJ
cana-6067	28	27	fuzzy	fuzzy	ADJ
cana-6067	28	28	sets	set	NOUN
cana-6067	28	29	of	of	ADP
cana-6067	28	30	supply	supply	NOUN
cana-6067	28	31	and	and	CCONJ
cana-6067	28	32	demand	demand	NOUN
cana-6067	28	33	,	,	PUNCT
cana-6067	28	34	s.	s.	PROPN
cana-6067	28	35	chanaset	chanaset	VERB
cana-6067	28	36	al	al	PROPN
cana-6067	28	37	.	.	PUNCT
cana-6067	29	1	[	[	X
cana-6067	29	2	3],were	3],were	NUM
cana-6067	29	3	introduced	introduce	VERB
cana-6067	29	4	applying	apply	VERB
cana-6067	29	5	the	the	DET
cana-6067	29	6	extension	extension	NOUN
cana-6067	29	7	principleto	principleto	NOUN
cana-6067	29	8	solving	solve	VERB
cana-6067	29	9	fuzzy	fuzzy	ADJ
cana-6067	29	10	transportation	transportation	NOUN
cana-6067	29	11	problems	problem	NOUN
cana-6067	29	12	s.t.liuet	s.t.liuet	PROPN
cana-6067	29	13	al	al	PROPN
cana-6067	29	14	.	.	PUNCT
cana-6067	30	1	[	[	X
cana-6067	30	2	4],were	4],were	NUM
cana-6067	30	3	presented	present	VERB
cana-6067	30	4	extensions	extension	NOUN
cana-6067	30	5	of	of	ADP
cana-6067	30	6	traditional	traditional	ADJ
cana-6067	30	7	transportation	transportation	NOUN
cana-6067	30	8	problems	problem	NOUN
cana-6067	30	9	using	use	VERB
cana-6067	30	10	interval	interval	NOUN
cana-6067	30	11	and	and	CCONJ
cana-6067	30	12	fuzzy	fuzzy	ADJ
cana-6067	30	13	time	time	NOUN
cana-6067	30	14	interval	interval	NOUN
cana-6067	30	15	s.chanaset	s.chanaset	PROPN
cana-6067	30	16	al	al	PROPN
cana-6067	30	17	.	.	PUNCT
cana-6067	31	1	[	[	X
cana-6067	31	2	5],we	5],we	PROPN
cana-6067	31	3	looked	look	VERB
cana-6067	31	4	into	into	ADP
cana-6067	31	5	an	an	DET
cana-6067	31	6	innovative	innovative	ADJ
cana-6067	31	7	approach	approach	NOUN
cana-6067	31	8	for	for	ADP
cana-6067	31	9	the	the	DET
cana-6067	31	10	fuzzy	fuzzy	ADJ
cana-6067	31	11	transportation	transportation	NOUN
cana-6067	31	12	problems	problem	NOUN
cana-6067	31	13	and	and	CCONJ
cana-6067	31	14	fuzzy	fuzzy	ADJ
cana-6067	31	15	optimum	optimum	ADJ
cana-6067	31	16	solution	solution	NOUN
cana-6067	31	17	g.	g.	PROPN
cana-6067	31	18	nagarajanet	nagarajanet	PROPN
cana-6067	31	19	al	al	PROPN
cana-6067	31	20	.	.	PUNCT
cana-6067	32	1	[	[	X
cana-6067	32	2	6	6	NUM
cana-6067	32	3	]	]	PUNCT
cana-6067	32	4	.	.	PUNCT
cana-6067	33	1	worked	work	VERB
cana-6067	33	2	on	on	ADP
cana-6067	33	3	a	a	DET
cana-6067	33	4	novel	novel	ADJ
cana-6067	33	5	type	type	NOUN
cana-6067	33	6	of	of	ADP
cana-6067	33	7	ranking	ranking	ADJ
cana-6067	33	8	function	function	NOUN
cana-6067	33	9	for	for	ADP
cana-6067	33	10	the	the	DET
cana-6067	33	11	fuzzy	fuzzy	ADJ
cana-6067	33	12	transportation	transportation	NOUN
cana-6067	33	13	problem	problem	NOUN
cana-6067	33	14	(	(	PUNCT
cana-6067	33	15	tp	tp	NOUN
cana-6067	33	16	)	)	PUNCT
cana-6067	33	17	t.	t.	PROPN
cana-6067	33	18	anithakumari	anithakumari	PROPN
cana-6067	33	19	,	,	PUNCT
cana-6067	33	20	et	et	PROPN
cana-6067	33	21	al	al	PROPN
cana-6067	33	22	.	.	PUNCT
cana-6067	34	1	[	[	X
cana-6067	34	2	7	7	NUM
cana-6067	34	3	]	]	PUNCT
cana-6067	34	4	.	.	PUNCT
cana-6067	35	1	the	the	DET
cana-6067	35	2	two	two	NUM
cana-6067	35	3	-	-	PUNCT
cana-6067	35	4	stage	stage	NOUN
cana-6067	35	5	fuzzy	fuzzy	ADJ
cana-6067	35	6	transportation	transportation	NOUN
cana-6067	35	7	problem	problem	NOUN
cana-6067	35	8	has	have	AUX
cana-6067	35	9	been	be	AUX
cana-6067	35	10	presented	present	VERB
cana-6067	35	11	by	by	ADP
cana-6067	35	12	nagoor	nagoor	PROPN
cana-6067	35	13	ganiet	ganiet	PROPN
cana-6067	35	14	al	al	PROPN
cana-6067	35	15	.	.	PUNCT
cana-6067	36	1	[	[	X
cana-6067	36	2	8	8	NUM
cana-6067	36	3	]	]	PUNCT
cana-6067	36	4	.	.	PUNCT
cana-6067	37	1	zimmermann	zimmermann	PROPN
cana-6067	37	2	’s	’s	PART
cana-6067	37	3	fuzzy	fuzzy	ADJ
cana-6067	37	4	linear	linear	ADJ
cana-6067	37	5	programming	programming	NOUN
cana-6067	37	6	(	(	PUNCT
cana-6067	37	7	ftp	ftp	NOUN
cana-6067	37	8	)	)	PUNCT
cana-6067	37	9	has	have	AUX
cana-6067	37	10	been	be	AUX
cana-6067	37	11	adapted	adapt	VERB
cana-6067	37	12	into	into	ADP
cana-6067	37	13	numerous	numerous	ADJ
cana-6067	37	14	fuzzy	fuzzy	ADJ
cana-6067	37	15	optimization	optimization	NOUN
cana-6067	37	16	approaches	approach	NOUN
cana-6067	37	17	to	to	ADP
cana-6067	37	18	solving	solve	VERB
cana-6067	37	19	the	the	DET
cana-6067	37	20	tps	tps	NOUN
cana-6067	37	21	zimmermann	zimmermann	PROPN
cana-6067	37	22	et	et	PROPN
cana-6067	37	23	al	al	PROPN
cana-6067	38	1	[	[	X
cana-6067	38	2	9	9	NUM
cana-6067	38	3	]	]	PUNCT
cana-6067	38	4	.	.	PUNCT
cana-6067	39	1	numerous	numerous	ADJ
cana-6067	39	2	researchers	researcher	NOUN
cana-6067	39	3	have	have	AUX
cana-6067	39	4	discussed	discuss	VERB
cana-6067	39	5	several	several	ADJ
cana-6067	39	6	approachesfor	approachesfor	ADP
cana-6067	39	7	solvingfuzzy	solvingfuzzy	ADJ
cana-6067	39	8	transportation	transportation	NOUN
cana-6067	39	9	problems	problem	NOUN
cana-6067	39	10	and	and	CCONJ
cana-6067	39	11	offered	offer	VERB
cana-6067	39	12	different	different	ADJ
cana-6067	39	13	solutions	solution	NOUN
cana-6067	39	14	for	for	ADP
cana-6067	39	15	the	the	DET
cana-6067	39	16	classical	classical	ADJ
cana-6067	39	17	,	,	PUNCT
cana-6067	39	18	interval	interval	NOUN
cana-6067	39	19	fuzzy	fuzzy	ADJ
cana-6067	39	20	tps	tps	NOUN
cana-6067	39	21	,	,	PUNCT
cana-6067	39	22	and	and	CCONJ
cana-6067	39	23	fuzzy	fuzzy	ADJ
cana-6067	39	24	transportation	transportation	NOUN
cana-6067	39	25	problems	problem	NOUN
cana-6067	39	26	.	.	PUNCT
cana-6067	40	1	in	in	ADP
cana-6067	40	2	order	order	NOUN
cana-6067	40	3	to	to	PART
cana-6067	40	4	solve	solve	VERB
cana-6067	40	5	a	a	DET
cana-6067	40	6	symmetric	symmetric	ADJ
cana-6067	40	7	fuzzy	fuzzy	ADJ
cana-6067	40	8	linear	linear	ADJ
cana-6067	40	9	programming	programming	NOUN
cana-6067	40	10	problem	problem	NOUN
cana-6067	40	11	(	(	PUNCT
cana-6067	40	12	flpp	flpp	NOUN
cana-6067	40	13	)	)	PUNCT
cana-6067	40	14	,	,	PUNCT
cana-6067	40	15	a	a	DET
cana-6067	40	16	new	new	ADJ
cana-6067	40	17	ranking	ranking	NOUN
cana-6067	40	18	function	function	NOUN
cana-6067	40	19	was	be	AUX
cana-6067	40	20	suggested	suggest	VERB
cana-6067	40	21	.	.	PUNCT
cana-6067	41	1	to	to	PART
cana-6067	41	2	determine	determine	VERB
cana-6067	41	3	the	the	DET
cana-6067	41	4	optimal	optimal	ADJ
cana-6067	41	5	solution	solution	NOUN
cana-6067	41	6	for	for	ADP
cana-6067	41	7	a	a	DET
cana-6067	41	8	fully	fully	ADV
cana-6067	41	9	fuzzy	fuzzy	ADJ
cana-6067	41	10	transshipment	transshipment	NOUN
cana-6067	41	11	muralidaranet	muralidaranet	PROPN
cana-6067	41	12	al	al	PROPN
cana-6067	41	13	.	.	PUNCT
cana-6067	42	1	[	[	X
cana-6067	42	2	10	10	NUM
cana-6067	42	3	]	]	PUNCT
cana-6067	42	4	,	,	PUNCT
cana-6067	42	5	developed	develop	VERB
cana-6067	42	6	methods	method	NOUN
cana-6067	42	7	for	for	ADP
cana-6067	42	8	applying	apply	VERB
cana-6067	42	9	fuzzy	fuzzy	ADJ
cana-6067	42	10	linear	linear	ADJ
cana-6067	42	11	programming	programming	NOUN
cana-6067	42	12	and	and	CCONJ
cana-6067	42	13	ranking	ranking	NOUN
cana-6067	42	14	methodology	methodology	NOUN
cana-6067	42	15	to	to	PART
cana-6067	42	16	identify	identify	VERB
cana-6067	42	17	the	the	DET
cana-6067	42	18	best	good	ADJ
cana-6067	42	19	solution	solution	NOUN
cana-6067	42	20	for	for	ADP
cana-6067	42	21	a	a	DET
cana-6067	42	22	fully	fully	ADV
cana-6067	42	23	fuzzy	fuzzy	ADJ
cana-6067	42	24	transhipment	transhipment	NOUN
cana-6067	42	25	problem	problem	NOUN
cana-6067	42	26	a.	a.	PROPN
cana-6067	42	27	kumar	kumar	PROPN
cana-6067	42	28	et	et	PROPN
cana-6067	42	29	al.[11].has	al.[11].ha	VERB
cana-6067	42	30	presented	present	VERB
cana-6067	42	31	a	a	DET
cana-6067	42	32	novelapproach	novelapproach	NOUN
cana-6067	42	33	for	for	ADP
cana-6067	42	34	fully	fully	ADV
cana-6067	42	35	interval	interval	NOUN
cana-6067	42	36	integer	integer	NOUN
cana-6067	42	37	transportation	transportation	NOUN
cana-6067	42	38	problems	problem	NOUN
cana-6067	42	39	that	that	PRON
cana-6067	42	40	finds	find	VERB
cana-6067	42	41	the	the	DET
cana-6067	42	42	best	good	ADJ
cana-6067	42	43	optimal	optimal	ADJ
cana-6067	42	44	solution	solution	NOUN
cana-6067	42	45	of	of	ADP
cana-6067	42	46	pandianet	pandianet	PROPN
cana-6067	42	47	al	al	PROPN
cana-6067	42	48	.	.	PUNCT
cana-6067	43	1	[	[	X
cana-6067	43	2	12	12	NUM
cana-6067	43	3	]	]	PUNCT
cana-6067	43	4	.	.	PUNCT
cana-6067	44	1	were	be	AUX
cana-6067	44	2	explained	explain	VERB
cana-6067	44	3	a	a	DET
cana-6067	44	4	new	new	ADJ
cana-6067	44	5	approach	approach	NOUN
cana-6067	44	6	for	for	ADP
cana-6067	44	7	solving	solve	VERB
cana-6067	44	8	fuzzy	fuzzy	ADJ
cana-6067	44	9	transportation	transportation	NOUN
cana-6067	44	10	problems	problem	NOUN
cana-6067	44	11	using	use	VERB
cana-6067	44	12	generalized	generalized	ADJ
cana-6067	44	13	trapezoidal	trapezoidal	ADJ
cana-6067	44	14	fuzzy	fuzzy	ADJ
cana-6067	44	15	numbers	number	NOUN
cana-6067	44	16	a.	a.	PROPN
cana-6067	44	17	kaur	kaur	PROPN
cana-6067	44	18	et	et	PROPN
cana-6067	44	19	al	al	PROPN
cana-6067	44	20	.	.	PUNCT
cana-6067	45	1	[	[	X
cana-6067	45	2	13	13	NUM
cana-6067	45	3	]	]	PUNCT
cana-6067	45	4	,	,	PUNCT
cana-6067	45	5	however	however	ADV
cana-6067	45	6	in	in	ADP
cana-6067	45	7	this	this	DET
cana-6067	45	8	paper	paper	NOUN
cana-6067	45	9	,	,	PUNCT
cana-6067	45	10	the	the	DET
cana-6067	45	11	“	"	PUNCT
cana-6067	45	12	fuzzy	fuzzy	ADJ
cana-6067	45	13	transportation	transportation	NOUN
cana-6067	45	14	problem	problem	NOUN
cana-6067	45	15	”	"	PUNCT
cana-6067	45	16	is	be	AUX
cana-6067	45	17	resolved	resolve	VERB
cana-6067	45	18	by	by	ADP
cana-6067	45	19	the	the	DET
cana-6067	45	20	modi	modi	PROPN
cana-6067	45	21	method	method	PROPN
cana-6067	45	22	,	,	PUNCT
cana-6067	45	23	reuben	reuben	PROPN
cana-6067	45	24	’s	’s	PART
cana-6067	45	25	ranking	ranking	NOUN
cana-6067	45	26	,	,	PUNCT
cana-6067	45	27	and	and	CCONJ
cana-6067	45	28	the	the	DET
cana-6067	45	29	“	"	PUNCT
cana-6067	45	30	triangular	triangular	ADJ
cana-6067	45	31	fuzzy	fuzzy	ADJ
cana-6067	45	32	number	number	NOUN
cana-6067	45	33	”	"	PUNCT
cana-6067	45	34	for	for	ADP
cana-6067	45	35	fuzzy	fuzzy	ADJ
cana-6067	45	36	costs	cost	NOUN
cana-6067	45	37	.	.	PUNCT
cana-6067	46	1	in	in	ADP
cana-6067	46	2	this	this	DET
cana-6067	46	3	connection	connection	NOUN
cana-6067	46	4	,	,	PUNCT
cana-6067	46	5	the	the	DET
cana-6067	46	6	paper	paper	NOUN
cana-6067	46	7	explains	explain	VERB
cana-6067	46	8	the	the	DET
cana-6067	46	9	result	result	NOUN
cana-6067	46	10	of	of	ADP
cana-6067	46	11	fap	fap	NOUN
cana-6067	46	12	was	be	AUX
cana-6067	46	13	discussed	discuss	VERB
cana-6067	46	14	by	by	ADP
cana-6067	46	15	mohamed	mohamed	PROPN
cana-6067	46	16	muameret	muameret	PROPN
cana-6067	46	17	al	al	PROPN
cana-6067	46	18	.	.	PUNCT
cana-6067	47	1	[	[	X
cana-6067	47	2	14	14	NUM
cana-6067	47	3	]	]	PUNCT
cana-6067	47	4	.	.	PUNCT
cana-6067	48	1	the	the	DET
cana-6067	48	2	optimization	optimization	NOUN
cana-6067	48	3	of	of	ADP
cana-6067	48	4	fuzzy	fuzzy	ADJ
cana-6067	48	5	bottleneck	bottleneck	NOUN
cana-6067	48	6	cost	cost	NOUN
cana-6067	48	7	transportation	transportation	NOUN
cana-6067	48	8	models	model	NOUN
cana-6067	48	9	using	use	VERB
cana-6067	48	10	the	the	DET
cana-6067	48	11	triangular	triangular	NOUN
cana-6067	48	12	fuzzy	fuzzy	ADJ
cana-6067	48	13	transportation	transportation	NOUN
cana-6067	48	14	problem	problem	NOUN
cana-6067	48	15	framework	framework	NOUN
cana-6067	48	16	within	within	ADP
cana-6067	48	17	the	the	DET
cana-6067	48	18	congruence	congruence	NOUN
cana-6067	48	19	modulo	modulo	NOUN
cana-6067	48	20	technique	technique	NOUN
cana-6067	48	21	was	be	AUX
cana-6067	48	22	explored	explore	VERB
cana-6067	48	23	by	by	ADP
cana-6067	48	24	kapilkumar	kapilkumar	PROPN
cana-6067	48	25	et	et	PROPN
cana-6067	48	26	al	al	PROPN
cana-6067	48	27	.	.	PUNCT
cana-6067	49	1	[	[	X
cana-6067	49	2	15].,the	15].,the	NUM
cana-6067	49	3	fuzzy	fuzzy	ADJ
cana-6067	49	4	multi	multi	ADJ
cana-6067	49	5	-	-	ADJ
cana-6067	49	6	objective	objective	ADJ
cana-6067	49	7	multi	multi	ADJ
cana-6067	49	8	-	-	ADJ
cana-6067	49	9	item	item	ADJ
cana-6067	49	10	transportation	transportation	NOUN
cana-6067	49	11	problem	problem	NOUN
cana-6067	49	12	in	in	ADP
cana-6067	49	13	five	five	NUM
cana-6067	49	14	dimensions	dimension	NOUN
cana-6067	49	15	,	,	PUNCT
cana-6067	49	16	along	along	ADP
cana-6067	49	17	with	with	ADP
cana-6067	49	18	the	the	DET
cana-6067	49	19	milk	milk	NOUN
cana-6067	49	20	transportation	transportation	NOUN
cana-6067	49	21	method	method	NOUN
cana-6067	49	22	,	,	PUNCT
cana-6067	49	23	was	be	AUX
cana-6067	49	24	introduced	introduce	VERB
cana-6067	49	25	by	by	ADP
cana-6067	49	26	byekata	byekata	ADJ
cana-6067	49	27	jain	jain	PROPN
cana-6067	49	28	et	et	PROPN
cana-6067	49	29	al	al	PROPN
cana-6067	49	30	.	.	PUNCT
cana-6067	50	1	[	[	X
cana-6067	50	2	17	17	NUM
cana-6067	50	3	]	]	SYM
cana-6067	50	4	.	.	PUNCT
cana-6067	50	5	,	,	PUNCT
cana-6067	50	6	a	a	DET
cana-6067	50	7	study	study	NOUN
cana-6067	50	8	of	of	ADP
cana-6067	50	9	linear	linear	ADJ
cana-6067	50	10	fractional	fractional	ADJ
cana-6067	50	11	transportation	transportation	NOUN
cana-6067	50	12	problem	problem	NOUN
cana-6067	50	13	in	in	ADP
cana-6067	50	14	bipolar	bipolar	ADJ
cana-6067	50	15	fuzzy	fuzzy	ADJ
cana-6067	50	16	settings	setting	NOUN
cana-6067	50	17	was	be	AUX
cana-6067	50	18	explored	explore	VERB
cana-6067	50	19	by	by	ADP
cana-6067	50	20	nilima	nilima	PROPN
cana-6067	50	21	akhtar	akhtar	PROPN
cana-6067	50	22	et	et	PROPN
cana-6067	50	23	al	al	PROPN
cana-6067	50	24	.	.	PUNCT
cana-6067	51	1	[	[	X
cana-6067	51	2	18	18	NUM
cana-6067	51	3	]	]	SYM
cana-6067	51	4	.	.	PUNCT
cana-6067	51	5	,	,	PUNCT
cana-6067	51	6	using	use	VERB
cana-6067	51	7	the	the	DET
cana-6067	51	8	“	"	PUNCT
cana-6067	51	9	fuzzy	fuzzy	ADJ
cana-6067	51	10	transportation	transportation	NOUN
cana-6067	51	11	problem	problem	NOUN
cana-6067	51	12	,	,	PUNCT
cana-6067	51	13	”	"	PUNCT
cana-6067	51	14	this	this	PRON
cana-6067	51	15	involves	involve	VERB
cana-6067	51	16	reuben	reuben	PROPN
cana-6067	51	17	’s	’s	PART
cana-6067	51	18	ranking	ranking	NOUN
cana-6067	51	19	and	and	CCONJ
cana-6067	51	20	the	the	DET
cana-6067	51	21	“	"	PUNCT
cana-6067	51	22	triangular	triangular	ADJ
cana-6067	51	23	fuzzy	fuzzy	ADJ
cana-6067	51	24	number	number	NOUN
cana-6067	51	25	”	"	PUNCT
cana-6067	51	26	for	for	ADP
cana-6067	51	27	fuzzy	fuzzy	ADJ
cana-6067	51	28	costs	cost	NOUN
cana-6067	51	29	.	.	PUNCT
cana-6067	52	1	the	the	DET
cana-6067	52	2	contribution	contribution	NOUN
cana-6067	52	3	of	of	ADP
cana-6067	52	4	the	the	DET
cana-6067	52	5	work	work	NOUN
cana-6067	52	6	is	be	AUX
cana-6067	52	7	to	to	PART
cana-6067	52	8	present	present	VERB
cana-6067	52	9	a	a	DET
cana-6067	52	10	methodologically	methodologically	ADV
cana-6067	52	11	sound	sound	ADJ
cana-6067	52	12	and	and	CCONJ
cana-6067	52	13	computationally	computationally	ADV
cana-6067	52	14	tractable	tractable	ADJ
cana-6067	52	15	frame	frame	NOUN
cana-6067	52	16	work	work	NOUN
cana-6067	52	17	for	for	ADP
cana-6067	52	18	solving	solve	VERB
cana-6067	52	19	fuzzy	fuzzy	ADJ
cana-6067	52	20	transportation	transportation	NOUN
cana-6067	52	21	problems	problem	NOUN
cana-6067	52	22	using	use	VERB
cana-6067	52	23	a	a	DET
cana-6067	52	24	systematic	systematic	ADJ
cana-6067	52	25	de	de	X
cana-6067	52	26	fuzzification	fuzzification	NOUN
cana-6067	52	27	technique	technique	NOUN
cana-6067	52	28	based	base	VERB
cana-6067	52	29	on	on	ADP
cana-6067	52	30	reuben	reuben	PROPN
cana-6067	52	31	's	's	PART
cana-6067	52	32	ranking	ranking	NOUN
cana-6067	52	33	.	.	PUNCT
cana-6067	53	1	2	2	X
cana-6067	53	2	.	.	X
cana-6067	53	3	methods	method	NOUN
cana-6067	53	4	the	the	DET
cana-6067	53	5	theory	theory	NOUN
cana-6067	53	6	provided	provide	VERB
cana-6067	53	7	a	a	DET
cana-6067	53	8	mathematical	mathematical	ADJ
cana-6067	53	9	approach	approach	NOUN
cana-6067	53	10	to	to	ADP
cana-6067	53	11	vague	vague	ADJ
cana-6067	53	12	ideas	idea	NOUN
cana-6067	53	13	and	and	CCONJ
cana-6067	53	14	problems	problem	NOUN
cana-6067	53	15	with	with	ADP
cana-6067	53	16	multiple	multiple	ADJ
cana-6067	53	17	solutions	solution	NOUN
cana-6067	53	18	.	.	PUNCT
cana-6067	54	1	the	the	DET
cana-6067	54	2	fuzzy	fuzzy	ADJ
cana-6067	54	3	numbers	number	NOUN
cana-6067	54	4	,	,	PUNCT
cana-6067	54	5	fuzzy	fuzzy	ADJ
cana-6067	54	6	sets	set	NOUN
cana-6067	54	7	,	,	PUNCT
cana-6067	54	8	and	and	CCONJ
cana-6067	54	9	ranking	ranking	NOUN
cana-6067	54	10	functions	function	NOUN
cana-6067	54	11	for	for	ADP
cana-6067	54	12	crisp	crisp	ADJ
cana-6067	54	13	values	value	NOUN
cana-6067	54	14	,	,	PUNCT
cana-6067	54	15	and	and	CCONJ
cana-6067	54	16	some	some	DET
cana-6067	54	17	basic	basic	ADJ
cana-6067	54	18	arithmetic	arithmetic	ADJ
cana-6067	54	19	operations	operation	NOUN
cana-6067	54	20	,	,	PUNCT
cana-6067	54	21	are	be	AUX
cana-6067	54	22	defined	define	VERB
cana-6067	54	23	below	below	ADV
cana-6067	54	24	and	and	CCONJ
cana-6067	54	25	could	could	AUX
cana-6067	54	26	be	be	AUX
cana-6067	54	27	useful	useful	ADJ
cana-6067	54	28	.	.	PUNCT
cana-6067	55	1	definition2.1	definition2.1	ADV
cana-6067	55	2	:	:	PUNCT
cana-6067	55	3	let	let	VERB
cana-6067	55	4	us	we	PRON
cana-6067	55	5	assume	assume	VERB
cana-6067	55	6	that	that	SCONJ
cana-6067	55	7	𝑋′is	𝑋′is	PROPN
cana-6067	55	8	a	a	DET
cana-6067	55	9	set	set	NOUN
cana-6067	55	10	,	,	PUNCT
cana-6067	55	11	i.e.	i.e.	X
cana-6067	55	12	,	,	PUNCT
cana-6067	55	13	universal	universal	ADJ
cana-6067	55	14	.	.	PUNCT
cana-6067	56	1	the	the	DET
cana-6067	56	2	membership	membership	NOUN
cana-6067	56	3	function	function	NOUN
cana-6067	56	4	of	of	ADP
cana-6067	56	5	fuzzy	fuzzy	ADJ
cana-6067	56	6	subset	subset	NOUN
cana-6067	56	7	𝐴̅′of	𝐴̅′of	PROPN
cana-6067	56	8	𝑋′is	𝑋′is	PROPN
cana-6067	56	9	explained	explain	VERB
cana-6067	56	10	as	as	ADP
cana-6067	56	11	below	below	ADP
cana-6067	56	12	μ	μ	PROPN
cana-6067	56	13	𝐴	𝐴	PROPN
cana-6067	56	14	(	(	PUNCT
cana-6067	56	15	𝑥	𝑥	NOUN
cana-6067	56	16	)	)	PUNCT
cana-6067	56	17	∶	∶	NOUN
cana-6067	56	18	𝑋′	𝑋′	NOUN
cana-6067	56	19	→	→	PUNCT
cana-6067	57	1	[	[	X
cana-6067	57	2	0	0	NUM
cana-6067	57	3	,	,	PUNCT
cana-6067	57	4	1	1	NUM
cana-6067	57	5	]	]	PUNCT
cana-6067	57	6	.	.	PUNCT
cana-6067	58	1	𝐴̅′=	𝐴̅′=	X
cana-6067	58	2	{	{	PUNCT
cana-6067	58	3	(	(	PUNCT
cana-6067	58	4	𝑥	𝑥	NOUN
cana-6067	58	5	,	,	PUNCT
cana-6067	58	6	μ	μ	PROPN
cana-6067	58	7	𝐴	𝐴	PROPN
cana-6067	58	8	(	(	PUNCT
cana-6067	58	9	𝑥	𝑥	NOUN
cana-6067	58	10	)	)	PUNCT
cana-6067	58	11	)	)	PUNCT
cana-6067	58	12	/	/	PUNCT
cana-6067	58	13	𝑥∈𝑋′	𝑥∈𝑋′	PROPN
cana-6067	58	14	,	,	PUNCT
cana-6067	58	15	μ	μ	PROPN
cana-6067	58	16	𝐴	𝐴	PROPN
cana-6067	58	17	(	(	PUNCT
cana-6067	58	18	𝑥	𝑥	NOUN
cana-6067	58	19	)	)	PUNCT
cana-6067	58	20	∈	∈	PROPN
cana-6067	59	1	[	[	X
cana-6067	59	2	0	0	NUM
cana-6067	59	3	,	,	PUNCT
cana-6067	59	4	1	1	NUM
cana-6067	59	5	]	]	PUNCT
cana-6067	59	6	}	}	PUNCT
cana-6067	59	7	communications	communication	NOUN
cana-6067	59	8	on	on	ADP
cana-6067	59	9	applied	apply	VERB
cana-6067	59	10	nonlinear	nonlinear	ADJ
cana-6067	59	11	analysis	analysis	NOUN
cana-6067	59	12	issn	issn	NOUN
cana-6067	59	13	:	:	PUNCT
cana-6067	59	14	1074	1074	NUM
cana-6067	59	15	-	-	PUNCT
cana-6067	59	16	133x	133x	NUM
cana-6067	59	17	vol	vol	VERB
cana-6067	59	18	32	32	NUM
cana-6067	59	19	no	no	NOUN
cana-6067	59	20	.	.	PUNCT
cana-6067	60	1	10s	10	NOUN
cana-6067	60	2	(	(	PUNCT
cana-6067	60	3	2025	2025	NUM
cana-6067	60	4	)	)	PUNCT
cana-6067	60	5	3281	3281	NUM
cana-6067	60	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6067	60	7	definition	definition	NOUN
cana-6067	60	8	2.2	2.2	NUM
cana-6067	60	9	:	:	PUNCT
cana-6067	60	10	as	as	SCONJ
cana-6067	60	11	the	the	DET
cana-6067	60	12	degree	degree	NOUN
cana-6067	60	13	of	of	ADP
cana-6067	60	14	membership	membership	NOUN
cana-6067	60	15	function	function	NOUN
cana-6067	60	16	is	be	AUX
cana-6067	60	17	𝐴̅′	𝐴̅′	NOUN
cana-6067	60	18	:	:	PUNCT
cana-6067	61	1	r→	r→	PROPN
cana-6067	62	1	[	[	X
cana-6067	62	2	0	0	NUM
cana-6067	62	3	1	1	NUM
cana-6067	62	4	]	]	PUNCT
cana-6067	62	5	,	,	PUNCT
cana-6067	62	6	a	a	DET
cana-6067	62	7	fuzzy	fuzzy	ADJ
cana-6067	62	8	number	number	NOUN
cana-6067	62	9	is	be	AUX
cana-6067	62	10	a	a	DET
cana-6067	62	11	“	"	PUNCT
cana-6067	62	12	triangular	triangular	ADJ
cana-6067	62	13	fuzzy	fuzzy	ADJ
cana-6067	62	14	number	number	NOUN
cana-6067	62	15	”	"	PUNCT
cana-6067	62	16	in	in	ADP
cana-6067	62	17	r	r	NOUN
cana-6067	62	18	,	,	PUNCT
cana-6067	62	19	defined	define	VERB
cana-6067	62	20	as	as	ADP
cana-6067	62	21	the	the	DET
cana-6067	62	22	degree	degree	NOUN
cana-6067	62	23	of	of	ADP
cana-6067	62	24	the	the	DET
cana-6067	62	25	membership	membership	NOUN
cana-6067	62	26	function.in	function.in	AUX
cana-6067	62	27	accordance	accordance	NOUN
cana-6067	62	28	with	with	ADP
cana-6067	62	29	the	the	DET
cana-6067	62	30	subsequent	subsequent	ADJ
cana-6067	62	31	attributes	attribute	NOUN
cana-6067	62	32	.	.	PUNCT
cana-6067	63	1	μ	μ	PROPN
cana-6067	63	2	𝐴	𝐴	PROPN
cana-6067	63	3	(	(	PUNCT
cana-6067	63	4	x	x	NOUN
cana-6067	63	5	)	)	PUNCT
cana-6067	63	6	=	=	SYM
cana-6067	63	7	{	{	PUNCT
cana-6067	63	8	𝑥−𝑏	𝑥−𝑏	NOUN
cana-6067	63	9	𝑒−𝑏	𝑒−𝑏	NOUN
cana-6067	63	10	,	,	PUNCT
cana-6067	63	11	𝑏	𝑏	PROPN
cana-6067	63	12	<	<	X
cana-6067	63	13	𝑥	𝑥	X
cana-6067	63	14	<	<	X
cana-6067	63	15	𝑒	𝑒	PROPN
cana-6067	63	16	1	1	NUM
cana-6067	63	17	,	,	PUNCT
cana-6067	63	18	𝑥	𝑥	NOUN
cana-6067	63	19	=	=	SYM
cana-6067	63	20	𝑒	𝑒	PROPN
cana-6067	63	21	𝑓−𝑥	𝑓−𝑥	ADJ
cana-6067	63	22	𝑓−𝑒	𝑓−𝑒	PROPN
cana-6067	63	23	,	,	PUNCT
cana-6067	63	24	𝑒	𝑒	VERB
cana-6067	63	25	<	<	X
cana-6067	63	26	𝑥	𝑥	X
cana-6067	63	27	<	<	X
cana-6067	63	28	𝑓	𝑓	DET
cana-6067	63	29	0	0	NUM
cana-6067	63	30	,	,	PUNCT
cana-6067	63	31	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	VERB
cana-6067	63	32	it	it	PRON
cana-6067	63	33	is	be	AUX
cana-6067	63	34	represented	represent	VERB
cana-6067	63	35	as	as	ADP
cana-6067	63	36	𝐴̅′=	𝐴̅′=	PROPN
cana-6067	63	37	(	(	PUNCT
cana-6067	63	38	𝑏	𝑏	NOUN
cana-6067	63	39	,	,	PUNCT
cana-6067	63	40	𝑒	𝑒	PROPN
cana-6067	63	41	,	,	PUNCT
cana-6067	63	42	𝑓	𝑓	X
cana-6067	63	43	)	)	PUNCT
cana-6067	63	44	in	in	ADP
cana-6067	63	45	which	which	PRON
cana-6067	63	46	′𝑏′is	′𝑏′is	PRON
cana-6067	63	47	the	the	DET
cana-6067	63	48	core𝐴̅′	core𝐴̅′	NOUN
cana-6067	63	49	,	,	PUNCT
cana-6067	63	50	′𝑓′	′𝑓′	PROPN
cana-6067	63	51	is	be	AUX
cana-6067	63	52	the	the	DET
cana-6067	63	53	extent	extent	NOUN
cana-6067	63	54	of	of	ADP
cana-6067	63	55	the	the	DET
cana-6067	63	56	right	right	ADJ
cana-6067	63	57	side	side	NOUN
cana-6067	63	58	&	&	CCONJ
cana-6067	63	59	′𝑒	′𝑒	NOUN
cana-6067	63	60	′is	′i	VERB
cana-6067	63	61	the	the	DET
cana-6067	63	62	width	width	NOUN
cana-6067	63	63	of	of	ADP
cana-6067	63	64	the	the	DET
cana-6067	63	65	left	left	ADJ
cana-6067	63	66	side	side	NOUN
cana-6067	63	67	.	.	PUNCT
cana-6067	64	1	the	the	DET
cana-6067	64	2	following	follow	VERB
cana-6067	64	3	figure	figure	NOUN
cana-6067	64	4	shows	show	VERB
cana-6067	64	5	the	the	DET
cana-6067	64	6	geometric	geometric	ADJ
cana-6067	64	7	depiction	depiction	NOUN
cana-6067	64	8	of	of	ADP
cana-6067	64	9	a	a	DET
cana-6067	64	10	“	"	PUNCT
cana-6067	64	11	triangular	triangular	ADJ
cana-6067	64	12	fuzzy	fuzzy	ADJ
cana-6067	64	13	number	number	NOUN
cana-6067	64	14	.	.	PUNCT
cana-6067	64	15	”	"	PUNCT
cana-6067	65	1	triangular	triangular	NOUN
cana-6067	65	2	fuzzy	fuzzy	ADJ
cana-6067	65	3	arrangement	arrangement	NOUN
cana-6067	65	4	is	be	AUX
cana-6067	65	5	named	name	VERB
cana-6067	65	6	as	as	ADP
cana-6067	65	7	the	the	DET
cana-6067	65	8	shape	shape	NOUN
cana-6067	65	9	of	of	ADP
cana-6067	65	10	the	the	DET
cana-6067	65	11	“	"	PUNCT
cana-6067	65	12	triangular	triangular	ADJ
cana-6067	65	13	fuzzy	fuzzy	ADJ
cana-6067	65	14	number,”	number,”	NUM
cana-6067	65	15	�	�	NOUN
cana-6067	65	16	̅	̅	NOUN
cana-6067	65	17	�	�	NOUN
cana-6067	65	18	′which	′which	NOUN
cana-6067	65	19	is	be	AUX
cana-6067	65	20	typically	typically	ADV
cana-6067	65	21	triangle	triangle	ADJ
cana-6067	65	22	.	.	PUNCT
cana-6067	66	1	𝐴̅′=	𝐴̅′=	X
cana-6067	66	2	(	(	PUNCT
cana-6067	66	3	b	b	X
cana-6067	66	4	,	,	PUNCT
cana-6067	66	5	e	e	NOUN
cana-6067	66	6	,	,	PUNCT
cana-6067	66	7	f	f	NOUN
cana-6067	66	8	)	)	PUNCT
cana-6067	66	9	where	where	SCONJ
cana-6067	66	10	𝑏	𝑏	NOUN
cana-6067	66	11	,	,	PUNCT
cana-6067	66	12	𝑒	𝑒	ADJ
cana-6067	66	13	,	,	PUNCT
cana-6067	66	14	𝑓∈	𝑓∈	ADJ
cana-6067	66	15	r	r	NOUN
cana-6067	66	16	fig	fig	NOUN
cana-6067	66	17	1	1	NUM
cana-6067	66	18	:	:	PUNCT
cana-6067	66	19	triangular	triangular	NOUN
cana-6067	66	20	fuzzy	fuzzy	ADJ
cana-6067	66	21	number	number	NOUN
cana-6067	66	22	(	(	PUNCT
cana-6067	66	23	tfn)𝐴̅′=	tfn)𝐴̅′=	NOUN
cana-6067	66	24	(	(	PUNCT
cana-6067	66	25	𝑏	𝑏	NOUN
cana-6067	66	26	,	,	PUNCT
cana-6067	66	27	𝑒	𝑒	PROPN
cana-6067	66	28	,	,	PUNCT
cana-6067	66	29	𝑓	𝑓	X
cana-6067	66	30	)	)	PUNCT
cana-6067	66	31	a	a	DET
cana-6067	66	32	confidence	confidence	NOUN
cana-6067	66	33	interval	interval	NOUN
cana-6067	66	34	for	for	ADP
cana-6067	66	35	triangular	triangular	NOUN
cana-6067	66	36	fuzzy	fuzzy	ADJ
cana-6067	66	37	number	number	NOUN
cana-6067	66	38	(	(	PUNCT
cana-6067	66	39	tfn)𝐴̅′=	tfn)𝐴̅′=	NOUN
cana-6067	66	40	(	(	PUNCT
cana-6067	66	41	𝑏	𝑏	NOUN
cana-6067	66	42	,	,	PUNCT
cana-6067	66	43	𝑒	𝑒	ADP
cana-6067	66	44	,	,	PUNCT
cana-6067	66	45	𝑓)at	𝑓)at	ADJ
cana-6067	66	46	𝛼-level	𝛼-level	NOUN
cana-6067	66	47	set	set	NOUN
cana-6067	66	48	is	be	AUX
cana-6067	66	49	defined	define	VERB
cana-6067	66	50	as	as	ADP
cana-6067	66	51	follows:	follows:	NOUN
cana-6067	66	52	�	�	NOUN
cana-6067	66	53	̅	̅	NOUN
cana-6067	66	54	�	�	NOUN
cana-6067	66	55	′α	′α	NOUN
cana-6067	66	56	=	=	PUNCT
cana-6067	67	1	[	[	X
cana-6067	67	2	𝐴α	𝐴α	PROPN
cana-6067	67	3	𝐿,𝐴α	𝐿,𝐴α	PROPN
cana-6067	67	4	𝑈	𝑈	PROPN
cana-6067	67	5	]	]	X
cana-6067	67	6	=	=	PUNCT
cana-6067	68	1	[	[	X
cana-6067	68	2	𝑏+(𝑒	𝑏+(𝑒	NUM
cana-6067	68	3	−	−	PROPN
cana-6067	68	4	𝑏)α	𝑏)α	PROPN
cana-6067	68	5	,	,	PUNCT
cana-6067	68	6	𝑓(f−𝑒)𝛼	𝑓(f−𝑒)𝛼	PROPN
cana-6067	68	7	]	]	PUNCT
cana-6067	68	8	,	,	PUNCT
cana-6067	68	9	∀	∀	X
cana-6067	69	1	[	[	X
cana-6067	69	2	0	0	NUM
cana-6067	69	3	,	,	PUNCT
cana-6067	69	4	1	1	NUM
cana-6067	69	5	]	]	PUNCT
cana-6067	69	6	.	.	PUNCT
cana-6067	70	1	definition	definition	NOUN
cana-6067	70	2	2.3	2.3	NUM
cana-6067	70	3	:	:	PUNCT
cana-6067	70	4	this	this	DET
cana-6067	70	5	section	section	NOUN
cana-6067	70	6	introduces	introduce	VERB
cana-6067	70	7	the	the	DET
cana-6067	70	8	“	"	PUNCT
cana-6067	70	9	arithmetic	arithmetic	ADJ
cana-6067	70	10	operations	operation	NOUN
cana-6067	70	11	”	"	PUNCT
cana-6067	70	12	of	of	ADP
cana-6067	70	13	fuzzy	fuzzy	ADJ
cana-6067	70	14	numbers	number	NOUN
cana-6067	70	15	(	(	PUNCT
cana-6067	70	16	fn	fn	NOUN
cana-6067	70	17	)	)	PUNCT
cana-6067	70	18	.	.	PUNCT
cana-6067	71	1	let	let	VERB
cana-6067	71	2	𝐴̅′=	𝐴̅′=	NOUN
cana-6067	71	3	(	(	PUNCT
cana-6067	71	4	𝑏	𝑏	NOUN
cana-6067	71	5	,	,	PUNCT
cana-6067	71	6	𝑒	𝑒	PROPN
cana-6067	71	7	,	,	PUNCT
cana-6067	71	8	𝑓	𝑓	X
cana-6067	71	9	)	)	PUNCT
cana-6067	71	10	&	&	CCONJ
cana-6067	71	11	�	�	PROPN
cana-6067	71	12	̅	̅	NOUN
cana-6067	71	13	�	�	NOUN
cana-6067	71	14	′	′	NUM
cana-6067	71	15	=	=	SYM
cana-6067	71	16	(	(	PUNCT
cana-6067	71	17	𝑔	𝑔	ADJ
cana-6067	71	18	,	,	PUNCT
cana-6067	71	19	𝑗	𝑗	INTJ
cana-6067	71	20	,	,	PUNCT
cana-6067	71	21	𝑘	𝑘	NOUN
cana-6067	71	22	)	)	PUNCT
cana-6067	71	23	be	be	VERB
cana-6067	71	24	two	two	NUM
cana-6067	71	25	tfn	tfn	NOUN
cana-6067	71	26	,	,	PUNCT
cana-6067	71	27	then	then	ADV
cana-6067	71	28	we	we	PRON
cana-6067	71	29	will	will	AUX
cana-6067	71	30	study	study	VERB
cana-6067	71	31	some	some	DET
cana-6067	71	32	operations	operation	NOUN
cana-6067	71	33	as	as	SCONJ
cana-6067	71	34	follows	follow	VERB
cana-6067	71	35	:	:	PUNCT
cana-6067	71	36	addition	addition	NOUN
cana-6067	71	37	:	:	PUNCT
cana-6067	71	38	�	�	NOUN
cana-6067	71	39	̅	̅	NOUN
cana-6067	71	40	�	�	NOUN
cana-6067	71	41	′+	′+	NOUN
cana-6067	71	42	�	�	NOUN
cana-6067	71	43	̅	̅	NOUN
cana-6067	71	44	�	�	NOUN
cana-6067	71	45	′=	′=	PROPN
cana-6067	71	46	(	(	PUNCT
cana-6067	71	47	𝑏	𝑏	NOUN
cana-6067	71	48	,	,	PUNCT
cana-6067	71	49	𝑒	𝑒	PROPN
cana-6067	71	50	,	,	PUNCT
cana-6067	71	51	𝑓	𝑓	X
cana-6067	71	52	)	)	PUNCT
cana-6067	71	53	+	+	CCONJ
cana-6067	71	54	(	(	PUNCT
cana-6067	71	55	𝑔	𝑔	ADJ
cana-6067	71	56	,	,	PUNCT
cana-6067	71	57	𝑗	𝑗	INTJ
cana-6067	71	58	,	,	PUNCT
cana-6067	71	59	𝑘)=	𝑘)=	INTJ
cana-6067	71	60	(	(	PUNCT
cana-6067	71	61	𝑏	𝑏	PROPN
cana-6067	71	62	+	+	ADV
cana-6067	71	63	𝑔,𝑒	𝑔,𝑒	PROPN
cana-6067	71	64	+	+	CCONJ
cana-6067	71	65	𝑗	𝑗	PROPN
cana-6067	71	66	,	,	PUNCT
cana-6067	71	67	𝑓	𝑓	PROPN
cana-6067	71	68	+	+	NUM
cana-6067	71	69	𝑘	𝑘	X
cana-6067	71	70	)	)	PUNCT
cana-6067	71	71	the	the	DET
cana-6067	71	72	symmetric	symmetric	ADJ
cana-6067	71	73	(	(	PUNCT
cana-6067	71	74	image):−𝐴̅′=	image):−𝐴̅′=	PROPN
cana-6067	71	75	(	(	PUNCT
cana-6067	71	76	−𝑏,−𝑒,−𝑓	−𝑏,−𝑒,−𝑓	PROPN
cana-6067	71	77	)	)	PUNCT
cana-6067	71	78	subtraction	subtraction	NOUN
cana-6067	71	79	:	:	PUNCT
cana-6067	71	80	𝐴̅′	𝐴̅′	VERB
cana-6067	71	81	�	�	NOUN
cana-6067	71	82	̅	̅	NOUN
cana-6067	71	83	�	�	NOUN
cana-6067	71	84	′=	′=	PROPN
cana-6067	71	85	(	(	PUNCT
cana-6067	71	86	𝑏	𝑏	NOUN
cana-6067	71	87	,	,	PUNCT
cana-6067	71	88	𝑒	𝑒	PROPN
cana-6067	71	89	,	,	PUNCT
cana-6067	71	90	𝑓	𝑓	X
cana-6067	71	91	)	)	PUNCT
cana-6067	72	1	−	−	PROPN
cana-6067	72	2	(	(	PUNCT
cana-6067	72	3	𝑔	𝑔	NOUN
cana-6067	72	4	,	,	PUNCT
cana-6067	72	5	𝑗	𝑗	INTJ
cana-6067	72	6	,	,	PUNCT
cana-6067	72	7	𝑘)=	𝑘)=	INTJ
cana-6067	72	8	(	(	PUNCT
cana-6067	72	9	𝑏	𝑏	NOUN
cana-6067	72	10	−	−	ADV
cana-6067	72	11	𝑔,𝑒	𝑔,𝑒	INTJ
cana-6067	72	12	−	−	NOUN
cana-6067	72	13	𝑗	𝑗	PROPN
cana-6067	72	14	,	,	PUNCT
cana-6067	72	15	𝑓	𝑓	PRON
cana-6067	72	16	−	−	PROPN
cana-6067	72	17	𝑘	𝑘	NOUN
cana-6067	72	18	)	)	PUNCT
cana-6067	72	19	multiplication:𝐴̅′	multiplication:𝐴̅′	PROPN
cana-6067	72	20	∗	∗	PROPN
cana-6067	72	21	�	�	PROPN
cana-6067	72	22	̅	̅	NOUN
cana-6067	72	23	�	�	NOUN
cana-6067	72	24	′=	′=	NOUN
cana-6067	72	25	{	{	PUNCT
cana-6067	72	26	(	(	PUNCT
cana-6067	72	27	𝑏𝑔	𝑏𝑔	INTJ
cana-6067	72	28	,	,	PUNCT
cana-6067	72	29	𝑒𝑗	𝑒𝑗	NOUN
cana-6067	72	30	,	,	PUNCT
cana-6067	72	31	𝑓𝑘	𝑓𝑘	NOUN
cana-6067	72	32	)	)	PUNCT
cana-6067	72	33	,	,	PUNCT
cana-6067	72	34	𝑏	𝑏	PRON
cana-6067	72	35	≥	≥	NOUN
cana-6067	72	36	0	0	NUM
cana-6067	72	37	,	,	PUNCT
cana-6067	72	38	(	(	PUNCT
cana-6067	72	39	𝑏𝑘	𝑏𝑘	NOUN
cana-6067	72	40	,	,	PUNCT
cana-6067	72	41	ej	ej	NOUN
cana-6067	72	42	,	,	PUNCT
cana-6067	72	43	𝑓𝑘	𝑓𝑘	NOUN
cana-6067	72	44	)	)	PUNCT
cana-6067	72	45	,	,	PUNCT
cana-6067	72	46	𝑏	𝑏	PROPN
cana-6067	72	47	<	<	X
cana-6067	72	48	0	0	NUM
cana-6067	72	49	,	,	PUNCT
cana-6067	72	50	𝑓	𝑓	DET
cana-6067	72	51	≥	≥	NOUN
cana-6067	72	52	0	0	NUM
cana-6067	72	53	,	,	PUNCT
cana-6067	72	54	(	(	PUNCT
cana-6067	72	55	𝑏𝑘	𝑏𝑘	NOUN
cana-6067	72	56	,	,	PUNCT
cana-6067	72	57	𝑒𝑗	𝑒𝑗	NOUN
cana-6067	72	58	,	,	PUNCT
cana-6067	72	59	𝑓𝑔	𝑓𝑔	NOUN
cana-6067	72	60	)	)	PUNCT
cana-6067	72	61	,	,	PUNCT
cana-6067	72	62	𝑘	𝑘	X
cana-6067	72	63	<	<	X
cana-6067	72	64	0	0	NUM
cana-6067	72	65	division	division	NOUN
cana-6067	72	66	:	:	PUNCT
cana-6067	72	67	if	if	SCONJ
cana-6067	72	68	�	�	PROPN
cana-6067	72	69	̅	̅	VERB
cana-6067	72	70	�	�	X
cana-6067	72	71	′=	′=	PROPN
cana-6067	72	72	(	(	PUNCT
cana-6067	72	73	𝑏	𝑏	NOUN
cana-6067	72	74	,	,	PUNCT
cana-6067	72	75	𝑒	𝑒	PROPN
cana-6067	72	76	,	,	PUNCT
cana-6067	72	77	𝑓	𝑓	X
cana-6067	72	78	)	)	PUNCT
cana-6067	72	79	,	,	PUNCT
cana-6067	72	80	�	�	PROPN
cana-6067	72	81	̅	̅	NOUN
cana-6067	72	82	�	�	X
cana-6067	72	83	′=	′=	PROPN
cana-6067	72	84	(	(	PUNCT
cana-6067	72	85	𝑔	𝑔	PROPN
cana-6067	72	86	,	,	PUNCT
cana-6067	72	87	𝑗	𝑗	INTJ
cana-6067	72	88	,	,	PUNCT
cana-6067	72	89	𝑘)&	𝑘)&	NOUN
cana-6067	72	90	�	�	NOUN
cana-6067	72	91	̅	̅	NOUN
cana-6067	72	92	�	�	NOUN
cana-6067	72	93	′	′	NOUN
cana-6067	72	94	≠	≠	NOUN
cana-6067	72	95	0	0	PUNCT
cana-6067	72	96	then	then	ADV
cana-6067	72	97	if	if	SCONJ
cana-6067	72	98	𝐴̅′	𝐴̅′	NUM
cana-6067	72	99	÷	÷	PUNCT
cana-6067	72	100	�	�	PROPN
cana-6067	72	101	̅	̅	NOUN
cana-6067	72	102	�	�	NOUN
cana-6067	72	103	′=	′=	PROPN
cana-6067	72	104	(	(	PUNCT
cana-6067	72	105	𝑏/𝑘	𝑏/𝑘	PROPN
cana-6067	72	106	,	,	PUNCT
cana-6067	72	107	𝑒/𝑗	𝑒/𝑗	PROPN
cana-6067	72	108	,	,	PUNCT
cana-6067	72	109	𝑓/𝑔	𝑓/𝑔	PROPN
cana-6067	72	110	)	)	PUNCT
cana-6067	72	111	definition	definition	NOUN
cana-6067	72	112	2.4	2.4	NUM
cana-6067	72	113	:	:	PUNCT
cana-6067	72	114	the	the	DET
cana-6067	72	115	function	function	NOUN
cana-6067	72	116	for	for	ADP
cana-6067	72	117	𝐴̅′=	𝐴̅′=	PROPN
cana-6067	72	118	(	(	PUNCT
cana-6067	72	119	𝑏	𝑏	NOUN
cana-6067	72	120	,	,	PUNCT
cana-6067	72	121	𝑒	𝑒	PROPN
cana-6067	72	122	,	,	PUNCT
cana-6067	72	123	𝑓	𝑓	X
cana-6067	72	124	)	)	PUNCT
cana-6067	72	125	denoted	denote	VERB
cana-6067	72	126	r	r	NOUN
cana-6067	72	127	(	(	PUNCT
cana-6067	72	128	𝐴̅′	𝐴̅′	NOUN
cana-6067	72	129	)	)	PUNCT
cana-6067	72	130	proposed	propose	VERB
cana-6067	72	131	by	by	ADP
cana-6067	72	132	the	the	DET
cana-6067	72	133	fuzzy	fuzzy	ADJ
cana-6067	72	134	assignment	assignment	NOUN
cana-6067	72	135	problem	problem	NOUN
cana-6067	72	136	applied	apply	VERB
cana-6067	72	137	reuben	reuben	PROPN
cana-6067	72	138	’s	’s	PART
cana-6067	72	139	ranking	rank	VERB
cana-6067	72	140	technique	technique	NOUN
cana-6067	72	141	,	,	PUNCT
cana-6067	72	142	mohamed	mohamed	PROPN
cana-6067	72	143	muamer	muamer	PROPN
cana-6067	73	1	[	[	X
cana-6067	73	2	16	16	NUM
cana-6067	73	3	]	]	PUNCT
cana-6067	73	4	et	et	PROPN
cana-6067	73	5	al	al	PROPN
cana-6067	73	6	.	.	PROPN
cana-6067	74	1	which	which	PRON
cana-6067	74	2	can	can	AUX
cana-6067	74	3	be	be	AUX
cana-6067	74	4	defuzzified	defuzzifie	VERB
cana-6067	74	5	using	use	VERB
cana-6067	74	6	the	the	DET
cana-6067	74	7	reuben	reuben	NOUN
cana-6067	74	8	’s	’s	PART
cana-6067	74	9	ranking	ranking	NOUN
cana-6067	74	10	is	be	AUX
cana-6067	74	11	defined	define	VERB
cana-6067	74	12	as	as	ADP
cana-6067	74	13	r	r	NOUN
cana-6067	74	14	(	(	PUNCT
cana-6067	74	15	𝐴̅′	𝐴̅′	NUM
cana-6067	74	16	)	)	PUNCT
cana-6067	74	17	=	=	SYM
cana-6067	74	18	1	1	NUM
cana-6067	74	19	2	2	NUM
cana-6067	74	20	∫	∫	NOUN
cana-6067	74	21	(	(	PUNCT
cana-6067	74	22	r′	r′	X
cana-6067	74	23	+	+	X
cana-6067	74	24	s′	s′	ADJ
cana-6067	74	25	)	)	PUNCT
cana-6067	74	26	dα	dα	VERB
cana-6067	74	27	1	1	NUM
cana-6067	74	28	0	0	NUM
cana-6067	74	29	communications	communication	NOUN
cana-6067	74	30	on	on	ADP
cana-6067	74	31	applied	apply	VERB
cana-6067	74	32	nonlinear	nonlinear	ADJ
cana-6067	74	33	analysis	analysis	NOUN
cana-6067	74	34	issn	issn	NOUN
cana-6067	74	35	:	:	PUNCT
cana-6067	74	36	1074	1074	NUM
cana-6067	74	37	-	-	PUNCT
cana-6067	74	38	133x	133x	NUM
cana-6067	74	39	vol	vol	VERB
cana-6067	74	40	32	32	NUM
cana-6067	74	41	no	no	NOUN
cana-6067	74	42	.	.	PUNCT
cana-6067	75	1	10s	10	NOUN
cana-6067	75	2	(	(	PUNCT
cana-6067	75	3	2025	2025	NUM
cana-6067	75	4	)	)	PUNCT
cana-6067	75	5	3282	3282	NUM
cana-6067	75	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6067	76	1	where	where	SCONJ
cana-6067	76	2	{	{	PUNCT
cana-6067	76	3	r′	r′	PROPN
cana-6067	76	4	=	=	SYM
cana-6067	76	5	𝑏	𝑏	NOUN
cana-6067	76	6	+	+	CCONJ
cana-6067	76	7	(	(	PUNCT
cana-6067	76	8	𝑒	𝑒	PROPN
cana-6067	76	9	−	−	NOUN
cana-6067	76	10	𝑓)𝛼	𝑓)𝛼	ADJ
cana-6067	76	11	,	,	PUNCT
cana-6067	76	12	s′	s′	ADJ
cana-6067	76	13	=	=	PUNCT
cana-6067	76	14	𝑓	𝑓	DET
cana-6067	76	15	−	−	PROPN
cana-6067	76	16	(	(	PUNCT
cana-6067	76	17	𝑓	𝑓	DET
cana-6067	76	18	−	−	PROPN
cana-6067	76	19	𝑒)𝛼	𝑒)𝛼	NOUN
cana-6067	76	20	,	,	PUNCT
cana-6067	76	21	∀𝛼𝜖[0,1	∀𝛼𝜖[0,1	ADV
cana-6067	76	22	]	]	PUNCT
cana-6067	76	23	“	"	PUNCT
cana-6067	76	24	triangular	triangular	ADJ
cana-6067	76	25	fuzzy	fuzzy	ADJ
cana-6067	76	26	number	number	NOUN
cana-6067	76	27	”	"	PUNCT
cana-6067	76	28	of	of	ADP
cana-6067	76	29	the	the	DET
cana-6067	76	30	form	form	NOUN
cana-6067	76	31	�	�	NOUN
cana-6067	76	32	̅	̅	NOUN
cana-6067	76	33	�	�	X
cana-6067	76	34	′=	′=	PROPN
cana-6067	76	35	(	(	PUNCT
cana-6067	76	36	𝑏	𝑏	NOUN
cana-6067	76	37	,	,	PUNCT
cana-6067	76	38	𝑒	𝑒	PROPN
cana-6067	76	39	,	,	PUNCT
cana-6067	76	40	𝑓	𝑓	X
cana-6067	76	41	)	)	PUNCT
cana-6067	76	42	,	,	PUNCT
cana-6067	76	43	the	the	DET
cana-6067	76	44	𝛼level	𝛼level	NOUN
cana-6067	76	45	set	set	NOUN
cana-6067	76	46	of	of	ADP
cana-6067	76	47	such	such	DET
cana-6067	76	48	a	a	DET
cana-6067	76	49	fuzzy	fuzzy	ADJ
cana-6067	76	50	number	number	NOUN
cana-6067	76	51	(	(	PUNCT
cana-6067	76	52	fn	fn	NOUN
cana-6067	76	53	)	)	PUNCT
cana-6067	76	54	.	.	PUNCT
cana-6067	77	1	definition	definition	NOUN
cana-6067	77	2	2.5	2.5	NUM
cana-6067	77	3	:	:	PUNCT
cana-6067	77	4	the	the	DET
cana-6067	77	5	literature	literature	NOUN
cana-6067	77	6	has	have	AUX
cana-6067	77	7	suggested	suggest	VERB
cana-6067	77	8	a	a	DET
cana-6067	77	9	variety	variety	NOUN
cana-6067	77	10	of	of	ADP
cana-6067	77	11	methods	method	NOUN
cana-6067	77	12	for	for	ADP
cana-6067	77	13	sorting	sort	VERB
cana-6067	77	14	numbers	number	NOUN
cana-6067	77	15	.	.	PUNCT
cana-6067	78	1	the	the	DET
cana-6067	78	2	application	application	NOUN
cana-6067	78	3	of	of	ADP
cana-6067	78	4	a	a	DET
cana-6067	78	5	ranking	ranking	NOUN
cana-6067	78	6	-	-	PUNCT
cana-6067	78	7	function	function	NOUN
cana-6067	78	8	according	accord	VERB
cana-6067	78	9	to	to	ADP
cana-6067	78	10	their	their	PRON
cana-6067	78	11	graded	grade	VERB
cana-6067	78	12	averages	average	NOUN
cana-6067	78	13	provides	provide	VERB
cana-6067	78	14	an	an	DET
cana-6067	78	15	efficient	efficient	ADJ
cana-6067	78	16	technique	technique	NOUN
cana-6067	78	17	to	to	ADP
cana-6067	78	18	comparing	compare	VERB
cana-6067	78	19	fuzzy	fuzzy	ADJ
cana-6067	78	20	integers	integer	NOUN
cana-6067	78	21	.	.	PUNCT
cana-6067	79	1	i.e.	i.e.	X
cana-6067	79	2	,	,	PUNCT
cana-6067	79	3	for	for	ADP
cana-6067	79	4	any	any	DET
cana-6067	79	5	two	two	NUM
cana-6067	79	6	“	"	PUNCT
cana-6067	79	7	triangular	triangular	NOUN
cana-6067	79	8	fuzzy	fuzzy	ADJ
cana-6067	79	9	numbers”𝐴̅′=	numbers”𝐴̅′=	PROPN
cana-6067	79	10	(	(	PUNCT
cana-6067	79	11	𝑏	𝑏	NOUN
cana-6067	79	12	,	,	PUNCT
cana-6067	79	13	𝑒	𝑒	PROPN
cana-6067	79	14	,	,	PUNCT
cana-6067	79	15	𝑓	𝑓	X
cana-6067	79	16	)	)	PUNCT
cana-6067	79	17	and	and	CCONJ
cana-6067	79	18	�	�	PROPN
cana-6067	79	19	̅	̅	NOUN
cana-6067	79	20	�	�	NOUN
cana-6067	79	21	′	′	NUM
cana-6067	79	22	=	=	SYM
cana-6067	79	23	(	(	PUNCT
cana-6067	79	24	𝑔	𝑔	ADJ
cana-6067	79	25	,	,	PUNCT
cana-6067	79	26	𝑗	𝑗	INTJ
cana-6067	79	27	,	,	PUNCT
cana-6067	79	28	𝑘)in	𝑘)in	PROPN
cana-6067	79	29	f(r	f(r	NOUN
cana-6067	79	30	)	)	PUNCT
cana-6067	79	31	,	,	PUNCT
cana-6067	79	32	here	here	ADV
cana-6067	79	33	is	be	AUX
cana-6067	79	34	a	a	DET
cana-6067	79	35	comparison	comparison	NOUN
cana-6067	79	36	.	.	PUNCT
cana-6067	80	1	𝐴̅′greater	𝐴̅′greater	NOUN
cana-6067	80	2	than	than	ADP
cana-6067	80	3	�	�	PROPN
cana-6067	80	4	̅	̅	NOUN
cana-6067	80	5	�	�	NOUN
cana-6067	80	6	′	′	NUM
cana-6067	80	7	↔	↔	PROPN
cana-6067	80	8	r	r	NOUN
cana-6067	80	9	(	(	PUNCT
cana-6067	80	10	𝐴̅′	𝐴̅′	NUM
cana-6067	80	11	)	)	PUNCT
cana-6067	80	12	>	>	X
cana-6067	81	1	r	r	NOUN
cana-6067	81	2	(	(	PUNCT
cana-6067	81	3	�	�	NOUN
cana-6067	81	4	̅	̅	NOUN
cana-6067	81	5	�	�	NOUN
cana-6067	81	6	′	′	NUM
cana-6067	81	7	)	)	PUNCT
cana-6067	81	8	𝐴̅′	𝐴̅′	X
cana-6067	81	9	less	less	ADJ
cana-6067	81	10	than	than	ADP
cana-6067	81	11	�	�	NOUN
cana-6067	81	12	̅	̅	NOUN
cana-6067	81	13	�	�	NOUN
cana-6067	81	14	′	′	NUM
cana-6067	81	15	↔	↔	PROPN
cana-6067	81	16	r	r	NOUN
cana-6067	81	17	(	(	PUNCT
cana-6067	81	18	𝐴̅′	𝐴̅′	NUM
cana-6067	81	19	)	)	PUNCT
cana-6067	81	20	<	<	X
cana-6067	81	21	r	r	NOUN
cana-6067	81	22	(	(	PUNCT
cana-6067	81	23	�	�	NOUN
cana-6067	81	24	̅	̅	NOUN
cana-6067	81	25	�	�	NOUN
cana-6067	81	26	′	′	NUM
cana-6067	81	27	)	)	PUNCT
cana-6067	81	28	𝐴̅′	𝐴̅′	NUM
cana-6067	81	29	−	−	ADP
cana-6067	81	30	�	�	NOUN
cana-6067	81	31	̅	̅	NOUN
cana-6067	81	32	�	�	NOUN
cana-6067	81	33	′	′	NUM
cana-6067	81	34	↔r	↔r	PROPN
cana-6067	81	35	(	(	PUNCT
cana-6067	81	36	𝐴̅′	𝐴̅′	NUM
cana-6067	81	37	)	)	PUNCT
cana-6067	81	38	r	r	NOUN
cana-6067	81	39	(	(	PUNCT
cana-6067	81	40	�	�	NOUN
cana-6067	81	41	̅	̅	NOUN
cana-6067	81	42	�	�	NOUN
cana-6067	81	43	′	′	NOUN
cana-6067	81	44	)	)	PUNCT
cana-6067	81	45	𝐴̅′equal	𝐴̅′equal	NOUN
cana-6067	81	46	to	to	ADP
cana-6067	81	47	�	�	PROPN
cana-6067	81	48	̅	̅	NOUN
cana-6067	81	49	�	�	NOUN
cana-6067	81	50	′	′	NUM
cana-6067	81	51	↔r	↔r	PROPN
cana-6067	81	52	(	(	PUNCT
cana-6067	81	53	𝐴̅′	𝐴̅′	NUM
cana-6067	81	54	)	)	PUNCT
cana-6067	81	55	=	=	SYM
cana-6067	81	56	r	r	NOUN
cana-6067	81	57	(	(	PUNCT
cana-6067	81	58	�	�	NOUN
cana-6067	81	59	̅	̅	NOUN
cana-6067	81	60	�	�	NOUN
cana-6067	81	61	′	′	NUM
cana-6067	81	62	)	)	PUNCT
cana-6067	82	1	then	then	ADV
cana-6067	82	2	the	the	DET
cana-6067	82	3	“	"	PUNCT
cana-6067	82	4	triangular	triangular	ADJ
cana-6067	82	5	fuzzy	fuzzy	ADJ
cana-6067	82	6	number	number	NOUN
cana-6067	82	7	”	"	PUNCT
cana-6067	82	8	𝐴̅′=	𝐴̅′=	PROPN
cana-6067	82	9	(	(	PUNCT
cana-6067	82	10	𝑏	𝑏	NOUN
cana-6067	82	11	,	,	PUNCT
cana-6067	82	12	𝑒	𝑒	PROPN
cana-6067	82	13	,	,	PUNCT
cana-6067	82	14	𝑓	𝑓	X
cana-6067	82	15	)	)	PUNCT
cana-6067	82	16	and	and	CCONJ
cana-6067	82	17	�	�	PROPN
cana-6067	82	18	̅	̅	NOUN
cana-6067	82	19	�	�	NOUN
cana-6067	82	20	′	′	NUM
cana-6067	82	21	=	=	SYM
cana-6067	82	22	(	(	PUNCT
cana-6067	82	23	𝑔	𝑔	ADJ
cana-6067	82	24	,	,	PUNCT
cana-6067	82	25	𝑗	𝑗	INTJ
cana-6067	82	26	,	,	PUNCT
cana-6067	82	27	𝑘	𝑘	NOUN
cana-6067	82	28	)	)	PUNCT
cana-6067	82	29	are	be	AUX
cana-6067	82	30	considered	consider	VERB
cana-6067	82	31	likewise	likewise	ADV
cana-6067	82	32	in	in	ADP
cana-6067	82	33	f(r	f(r	NOUN
cana-6067	82	34	)	)	PUNCT
cana-6067	82	35	.	.	PUNCT
cana-6067	83	1	3	3	X
cana-6067	83	2	.	.	X
cana-6067	83	3	fuzzy	fuzzy	ADJ
cana-6067	83	4	transportation	transportation	NOUN
cana-6067	83	5	problem	problem	NOUN
cana-6067	83	6	it	it	PRON
cana-6067	83	7	has	have	AUX
cana-6067	83	8	been	be	AUX
cana-6067	83	9	explained	explain	VERB
cana-6067	83	10	in	in	ADP
cana-6067	83	11	the	the	DET
cana-6067	83	12	literature	literature	NOUN
cana-6067	83	13	that	that	PRON
cana-6067	83	14	the	the	DET
cana-6067	83	15	most	most	ADV
cana-6067	83	16	effective	effective	ADJ
cana-6067	83	17	method	method	NOUN
cana-6067	83	18	to	to	PART
cana-6067	83	19	solve	solve	VERB
cana-6067	83	20	the	the	DET
cana-6067	83	21	transportation	transportation	NOUN
cana-6067	83	22	problem	problem	NOUN
cana-6067	83	23	(	(	PUNCT
cana-6067	83	24	tp	tp	NOUN
cana-6067	83	25	)	)	PUNCT
cana-6067	83	26	with	with	ADP
cana-6067	83	27	a	a	DET
cana-6067	83	28	fuzzy	fuzzy	ADJ
cana-6067	83	29	cost	cost	NOUN
cana-6067	83	30	coefficient	coefficient	NOUN
cana-6067	83	31	where	where	SCONJ
cana-6067	83	32	standard	standard	ADJ
cana-6067	83	33	fuzzy	fuzzy	ADJ
cana-6067	83	34	integers	integer	NOUN
cana-6067	83	35	are	be	AUX
cana-6067	83	36	used	use	VERB
cana-6067	83	37	to	to	PART
cana-6067	83	38	describe	describe	VERB
cana-6067	83	39	the	the	DET
cana-6067	83	40	costs	cost	NOUN
cana-6067	83	41	associated	associate	VERB
cana-6067	83	42	with	with	ADP
cana-6067	83	43	addressing	address	VERB
cana-6067	83	44	such	such	ADJ
cana-6067	83	45	transportation	transportation	NOUN
cana-6067	83	46	challenges	challenge	NOUN
cana-6067	83	47	.	.	PUNCT
cana-6067	84	1	the	the	DET
cana-6067	84	2	following	follow	VERB
cana-6067	84	3	is	be	AUX
cana-6067	84	4	a	a	DET
cana-6067	84	5	description	description	NOUN
cana-6067	84	6	of	of	ADP
cana-6067	84	7	the	the	DET
cana-6067	84	8	“	"	PUNCT
cana-6067	84	9	fuzzy	fuzzy	ADJ
cana-6067	84	10	transportation	transportation	NOUN
cana-6067	84	11	problem	problem	NOUN
cana-6067	84	12	,	,	PUNCT
cana-6067	84	13	”	"	PUNCT
cana-6067	84	14	wherein	wherein	SCONJ
cana-6067	84	15	the	the	DET
cana-6067	84	16	decision	decision	NOUN
cana-6067	84	17	-	-	PUNCT
cana-6067	84	18	maker	maker	NOUN
cana-6067	84	19	is	be	AUX
cana-6067	84	20	certain	certain	ADJ
cana-6067	84	21	of	of	ADP
cana-6067	84	22	the	the	DET
cana-6067	84	23	commodities	commodity	NOUN
cana-6067	84	24	’	’	PART
cana-6067	84	25	supply	supply	NOUN
cana-6067	84	26	and	and	CCONJ
cana-6067	84	27	demand	demand	NOUN
cana-6067	84	28	but	but	CCONJ
cana-6067	84	29	not	not	PART
cana-6067	84	30	of	of	ADP
cana-6067	84	31	the	the	DET
cana-6067	84	32	actual	actual	ADJ
cana-6067	84	33	cost	cost	NOUN
cana-6067	84	34	of	of	ADP
cana-6067	84	35	shipping	shipping	NOUN
cana-6067	84	36	from	from	ADP
cana-6067	84	37	the	the	DET
cana-6067	84	38	𝑖𝑡ℎ	𝑖𝑡ℎ	NOUN
cana-6067	84	39	source	source	NOUN
cana-6067	84	40	to	to	ADP
cana-6067	84	41	the	the	DET
cana-6067	84	42	𝑗𝑡ℎ	𝑗𝑡ℎ	PROPN
cana-6067	84	43	destination	destination	NOUN
cana-6067	84	44	.	.	PUNCT
cana-6067	85	1	destination	destination	NOUN
cana-6067	85	2	supply	supply	NOUN
cana-6067	85	3	source	source	NOUN
cana-6067	85	4	1	1	NUM
cana-6067	85	5	…	…	SYM
cana-6067	85	6	…	…	PUNCT
cana-6067	85	7	…	…	PUNCT
cana-6067	85	8	…	…	PUNCT
cana-6067	85	9	…	…	PUNCT
cana-6067	85	10	……	……	NOUN
cana-6067	85	11	……	……	NOUN
cana-6067	85	12	.	.	PUNCT
cana-6067	86	1	𝑛	𝑛	DET
cana-6067	86	2	𝑎′1	𝑎′1	NOUN
cana-6067	86	3	.	.	PUNCT
cana-6067	86	4	.	.	PUNCT
cana-6067	86	5	.	.	PUNCT
cana-6067	86	6	.	.	PUNCT
cana-6067	86	7	.	.	PUNCT
cana-6067	86	8	.	.	PUNCT
cana-6067	86	9	.	.	PUNCT
cana-6067	86	10	.	.	PUNCT
cana-6067	86	11	.	.	PUNCT
cana-6067	87	1	𝑚	𝑚	X
cana-6067	87	2	…	…	PUNCT
cana-6067	87	3	…	…	PUNCT
cana-6067	87	4	…	…	SYM
cana-6067	87	5	…	…	PUNCT
cana-6067	87	6	…	…	PUNCT
cana-6067	87	7	……	……	NOUN
cana-6067	87	8	……	……	NOUN
cana-6067	87	9	.	.	PUNCT
cana-6067	88	1	𝑐̅′𝑚𝑛	𝑐̅′𝑚𝑛	PROPN
cana-6067	88	2	𝑎′𝑚	𝑎′𝑚	NOUN
cana-6067	88	3	demand	demand	NOUN
cana-6067	88	4	𝑏′1	𝑏′1	X
cana-6067	88	5	…	…	PUNCT
cana-6067	88	6	…	…	PUNCT
cana-6067	88	7	…	…	PUNCT
cana-6067	88	8	…	…	PUNCT
cana-6067	88	9	…	…	PUNCT
cana-6067	88	10	……	……	NOUN
cana-6067	88	11	……	……	NOUN
cana-6067	88	12	.	.	PUNCT
cana-6067	89	1	𝑏′𝑛	𝑏′𝑛	ADJ
cana-6067	89	2	total	total	ADJ
cana-6067	89	3	minimize	minimize	NOUN
cana-6067	89	4	∑	∑	PUNCT
cana-6067	89	5	∑	∑	PROPN
cana-6067	89	6	𝑐̅′𝑖𝑗	𝑐̅′𝑖𝑗	NOUN
cana-6067	89	7	𝑛	𝑛	DET
cana-6067	89	8	𝑗=1	𝑗=1	PROPN
cana-6067	89	9	𝑚	𝑚	ADP
cana-6067	89	10	𝑖=1	𝑖=1	PROPN
cana-6067	89	11	𝑥𝑖𝑗	𝑥𝑖𝑗	ADJ
cana-6067	89	12	subject	subject	NOUN
cana-6067	89	13	to	to	ADP
cana-6067	89	14	∑	∑	PROPN
cana-6067	89	15	𝑥𝑖𝑗	𝑥𝑖𝑗	PROPN
cana-6067	89	16	𝑚	𝑚	X
cana-6067	89	17	𝑖=1	𝑖=1	PUNCT
cana-6067	89	18	=	=	SYM
cana-6067	89	19	𝑎′𝑖	𝑎′𝑖	NOUN
cana-6067	89	20	,	,	PUNCT
cana-6067	89	21	i=1	i=1	X
cana-6067	89	22	,	,	PUNCT
cana-6067	89	23	2	2	NUM
cana-6067	89	24	,	,	PUNCT
cana-6067	89	25	----m	----m	PUNCT
cana-6067	89	26	∑	∑	PROPN
cana-6067	89	27	𝑥𝑖𝑗	𝑥𝑖𝑗	PROPN
cana-6067	89	28	𝑛	𝑛	PRON
cana-6067	89	29	𝑗=1	𝑗=1	PROPN
cana-6067	89	30	=	=	SYM
cana-6067	89	31	𝑏′𝑗	𝑏′𝑗	PROPN
cana-6067	89	32	,	,	PUNCT
cana-6067	89	33	i=1	i=1	X
cana-6067	89	34	,	,	PUNCT
cana-6067	89	35	2	2	NUM
cana-6067	89	36	,	,	PUNCT
cana-6067	89	37	-----n	-----n	PUNCT
cana-6067	89	38	where	where	SCONJ
cana-6067	89	39	,	,	PUNCT
cana-6067	89	40	𝑎′𝑖	𝑎′𝑖	NOUN
cana-6067	89	41	:	:	PUNCT
cana-6067	89	42	the	the	DET
cana-6067	89	43	total	total	ADJ
cana-6067	89	44	quantity	quantity	NOUN
cana-6067	89	45	available	available	ADJ
cana-6067	89	46	at	at	ADP
cana-6067	89	47	the	the	DET
cana-6067	89	48	𝑖𝑡ℎ	𝑖𝑡ℎ	PROPN
cana-6067	89	49	source	source	NOUN
cana-6067	89	50	.	.	PUNCT
cana-6067	90	1	𝑏′𝑗	𝑏′𝑗	NOUN
cana-6067	90	2	:	:	PUNCT
cana-6067	90	3	the	the	DET
cana-6067	90	4	total	total	ADJ
cana-6067	90	5	amount	amount	NOUN
cana-6067	90	6	of	of	ADP
cana-6067	90	7	demand	demand	NOUN
cana-6067	90	8	at	at	ADP
cana-6067	90	9	the𝑗𝑡ℎ	the𝑗𝑡ℎ	ADJ
cana-6067	90	10	destination	destination	NOUN
cana-6067	90	11	.	.	PUNCT
cana-6067	91	1	𝑥𝑖𝑗	𝑥𝑖𝑗	PROPN
cana-6067	91	2	:	:	PUNCT
cana-6067	91	3	total	total	ADJ
cana-6067	91	4	quantity	quantity	NOUN
cana-6067	91	5	of	of	ADP
cana-6067	91	6	goods	good	NOUN
cana-6067	91	7	to	to	PART
cana-6067	91	8	be	be	AUX
cana-6067	91	9	delivered	deliver	VERB
cana-6067	91	10	from	from	ADP
cana-6067	91	11	the𝑖𝑡ℎ	the𝑖𝑡ℎ	NOUN
cana-6067	91	12	source	source	NOUN
cana-6067	91	13	to	to	ADP
cana-6067	91	14	𝑗𝑡ℎdestination	𝑗𝑡ℎdestination	NOUN
cana-6067	91	15	.	.	PUNCT
cana-6067	92	1	communications	communication	NOUN
cana-6067	92	2	on	on	ADP
cana-6067	92	3	applied	apply	VERB
cana-6067	92	4	nonlinear	nonlinear	ADJ
cana-6067	92	5	analysis	analysis	NOUN
cana-6067	92	6	issn	issn	NOUN
cana-6067	92	7	:	:	PUNCT
cana-6067	92	8	1074	1074	NUM
cana-6067	92	9	-	-	PUNCT
cana-6067	92	10	133x	133x	NUM
cana-6067	92	11	vol	vol	VERB
cana-6067	92	12	32	32	NUM
cana-6067	92	13	no	no	NOUN
cana-6067	92	14	.	.	PUNCT
cana-6067	93	1	10s	10	NOUN
cana-6067	93	2	(	(	PUNCT
cana-6067	93	3	2025	2025	NUM
cana-6067	93	4	)	)	PUNCT
cana-6067	93	5	3283	3283	NUM
cana-6067	93	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6067	93	7	𝑐̅′𝑖𝑗	𝑐̅′𝑖𝑗	PROPN
cana-6067	93	8	:	:	PUNCT
cana-6067	93	9	fuzzy	fuzzy	ADJ
cana-6067	93	10	cost	cost	NOUN
cana-6067	93	11	of	of	ADP
cana-6067	93	12	transportation	transportation	NOUN
cana-6067	93	13	of	of	ADP
cana-6067	93	14	product	product	NOUN
cana-6067	93	15	from	from	ADP
cana-6067	93	16	𝑖𝑡ℎ	𝑖𝑡ℎ	NOUN
cana-6067	93	17	source	source	NOUN
cana-6067	93	18	to	to	ADP
cana-6067	93	19	𝑗𝑡ℎdestination	𝑗𝑡ℎdestination	NOUN
cana-6067	93	20	.	.	PUNCT
cana-6067	94	1	where	where	SCONJ
cana-6067	94	2	𝑐̅′𝑖𝑗are	𝑐̅′𝑖𝑗are	PRON
cana-6067	94	3	“	"	PUNCT
cana-6067	94	4	triangular	triangular	ADJ
cana-6067	94	5	fuzzy	fuzzy	ADJ
cana-6067	94	6	number	number	NOUN
cana-6067	94	7	”	"	PUNCT
cana-6067	94	8	of	of	ADP
cana-6067	94	9	the	the	DET
cana-6067	94	10	form	form	NOUN
cana-6067	94	11	𝐴̅′=	𝐴̅′=	X
cana-6067	94	12	(	(	PUNCT
cana-6067	94	13	𝑏	𝑏	NOUN
cana-6067	94	14	,	,	PUNCT
cana-6067	94	15	𝑒	𝑒	PROPN
cana-6067	94	16	,	,	PUNCT
cana-6067	94	17	𝑓	𝑓	X
cana-6067	94	18	)	)	PUNCT
cana-6067	94	19	.	.	PUNCT
cana-6067	95	1	the	the	DET
cana-6067	95	2	𝛼-cut	𝛼-cut	NOUN
cana-6067	95	3	of	of	ADP
cana-6067	95	4	the	the	DET
cana-6067	95	5	fuzzy	fuzzy	ADJ
cana-6067	95	6	number	number	NOUN
cana-6067	95	7	is	be	AUX
cana-6067	95	8	a	a	DET
cana-6067	95	9	comprehensive	comprehensive	ADJ
cana-6067	95	10	and	and	CCONJ
cana-6067	95	11	distinct	distinct	ADJ
cana-6067	95	12	representation	representation	NOUN
cana-6067	95	13	of	of	ADP
cana-6067	95	14	it	it	PRON
cana-6067	95	15	.	.	PUNCT
cana-6067	96	1	for	for	ADP
cana-6067	96	2	every	every	DET
cana-6067	96	3	fn	fn	NOUN
cana-6067	96	4	,	,	PUNCT
cana-6067	96	5	the	the	DET
cana-6067	96	6	α	α	NOUN
cana-6067	96	7	-	-	PUNCT
cana-6067	96	8	cut	cut	NOUN
cana-6067	96	9	is	be	AUX
cana-6067	96	10	a	a	DET
cana-6067	96	11	closed	closed	ADJ
cana-6067	96	12	interval	interval	NOUN
cana-6067	96	13	of	of	ADP
cana-6067	96	14	real	real	ADJ
cana-6067	96	15	numbers	number	NOUN
cana-6067	96	16	α	α	PROPN
cana-6067	96	17	∈(0	∈(0	PROPN
cana-6067	96	18	,	,	PUNCT
cana-6067	96	19	1	1	NUM
cana-6067	96	20	)	)	PUNCT
cana-6067	96	21	.	.	PUNCT
cana-6067	97	1	fn	fn	NOUN
cana-6067	97	2	of	of	ADP
cana-6067	97	3	arithmetic	arithmetic	ADJ
cana-6067	97	4	operations	operation	NOUN
cana-6067	97	5	(	(	PUNCT
cana-6067	97	6	ao	ao	PROPN
cana-6067	97	7	)	)	PUNCT
cana-6067	97	8	can	can	AUX
cana-6067	97	9	be	be	AUX
cana-6067	97	10	described	describe	VERB
cana-6067	97	11	using	use	VERB
cana-6067	97	12	their	their	PRON
cana-6067	97	13	α	α	NOUN
cana-6067	97	14	-	-	PUNCT
cana-6067	97	15	cut	cut	VERB
cana-6067	97	16	and	and	CCONJ
cana-6067	97	17	arithmetic	arithmetic	ADJ
cana-6067	97	18	operations	operation	NOUN
cana-6067	97	19	(	(	PUNCT
cana-6067	97	20	ao	ao	PROPN
cana-6067	97	21	)	)	PUNCT
cana-6067	97	22	.	.	PUNCT
cana-6067	98	1	4	4	X
cana-6067	98	2	.	.	X
cana-6067	98	3	a	a	DET
cana-6067	98	4	numerical	numerical	ADJ
cana-6067	98	5	illustration	illustration	NOUN
cana-6067	98	6	here	here	ADV
cana-6067	98	7	,	,	PUNCT
cana-6067	98	8	in	in	ADP
cana-6067	98	9	this	this	PRON
cana-6067	98	10	,	,	PUNCT
cana-6067	98	11	we	we	PRON
cana-6067	98	12	discuss	discuss	VERB
cana-6067	98	13	an	an	DET
cana-6067	98	14	illustration	illustration	NOUN
cana-6067	98	15	that	that	PRON
cana-6067	98	16	explains	explain	VERB
cana-6067	98	17	the	the	DET
cana-6067	98	18	comparative	comparative	ADJ
cana-6067	98	19	study	study	NOUN
cana-6067	98	20	in	in	ADP
cana-6067	98	21	between	between	ADP
cana-6067	98	22	the	the	DET
cana-6067	98	23	transportation	transportation	NOUN
cana-6067	98	24	problem	problem	NOUN
cana-6067	98	25	(	(	PUNCT
cana-6067	98	26	tp	tp	NOUN
cana-6067	98	27	)	)	PUNCT
cana-6067	98	28	and	and	CCONJ
cana-6067	98	29	the	the	DET
cana-6067	98	30	“	"	PUNCT
cana-6067	98	31	fuzzy	fuzzy	ADJ
cana-6067	98	32	transportation	transportation	NOUN
cana-6067	98	33	problem	problem	NOUN
cana-6067	98	34	,	,	PUNCT
cana-6067	98	35	”	"	PUNCT
cana-6067	98	36	reuben	reuben	PROPN
cana-6067	98	37	’s	’s	PART
cana-6067	98	38	ranking	ranking	NOUN
cana-6067	98	39	,	,	PUNCT
cana-6067	98	40	and	and	CCONJ
cana-6067	98	41	the	the	DET
cana-6067	98	42	“	"	PUNCT
cana-6067	98	43	triangular	triangular	ADJ
cana-6067	98	44	fuzzy	fuzzy	ADJ
cana-6067	98	45	number	number	NOUN
cana-6067	98	46	”	"	PUNCT
cana-6067	98	47	for	for	ADP
cana-6067	98	48	fuzzy	fuzzy	ADJ
cana-6067	98	49	costs	cost	NOUN
cana-6067	98	50	.	.	PUNCT
cana-6067	99	1	a	a	DET
cana-6067	99	2	manufacturing	manufacture	VERB
cana-6067	99	3	company	company	NOUN
cana-6067	99	4	generates	generate	VERB
cana-6067	99	5	a	a	DET
cana-6067	99	6	product	product	NOUN
cana-6067	99	7	from	from	ADP
cana-6067	99	8	three	three	NUM
cana-6067	99	9	suppliers	supplier	NOUN
cana-6067	99	10	𝑆1,𝑆2,𝑆3.the	𝑆1,𝑆2,𝑆3.the	DET
cana-6067	99	11	merchandise	merchandise	NOUN
cana-6067	99	12	will	will	AUX
cana-6067	99	13	be	be	AUX
cana-6067	99	14	shipped	ship	VERB
cana-6067	99	15	to	to	ADP
cana-6067	99	16	four	four	NUM
cana-6067	99	17	destinations𝐷1,𝐷2,𝐷3,𝐷4	destinations𝐷1,𝐷2,𝐷3,𝐷4	NOUN
cana-6067	99	18	.	.	PUNCT
cana-6067	100	1	the	the	DET
cana-6067	100	2	minimal	minimal	ADJ
cana-6067	100	3	supply	supply	NOUN
cana-6067	100	4	ranges𝑆1,𝑆2	ranges𝑆1,𝑆2	PROPN
cana-6067	100	5	,	,	PUNCT
cana-6067	100	6	and𝑆3whereas	and𝑆3whereas	PROPN
cana-6067	100	7	the	the	DET
cana-6067	100	8	highest	high	ADJ
cana-6067	100	9	demands	demand	NOUN
cana-6067	100	10	are	be	AUX
cana-6067	100	11	𝐷1,𝐷2,𝐷3,𝐷4	𝐷1,𝐷2,𝐷3,𝐷4	NOUN
cana-6067	100	12	.	.	PUNCT
cana-6067	101	1	existing	exist	VERB
cana-6067	101	2	method	method	NOUN
cana-6067	101	3	table	table	NOUN
cana-6067	101	4	1	1	NUM
cana-6067	101	5	:	:	PUNCT
cana-6067	101	6	transportation	transportation	NOUN
cana-6067	101	7	problem	problem	NOUN
cana-6067	101	8	destination	destination	NOUN
cana-6067	101	9	supply	supply	NOUN
cana-6067	101	10	source	source	NOUN
cana-6067	101	11	6	6	NUM
cana-6067	101	12	1	1	NUM
cana-6067	101	13	9	9	NUM
cana-6067	101	14	3	3	NUM
cana-6067	101	15	70	70	NUM
cana-6067	101	16	11	11	NUM
cana-6067	101	17	5	5	NUM
cana-6067	101	18	2	2	NUM
cana-6067	101	19	7	7	NUM
cana-6067	101	20	55	55	NUM
cana-6067	101	21	10	10	NUM
cana-6067	101	22	12	12	NUM
cana-6067	101	23	4	4	NUM
cana-6067	101	24	7	7	NUM
cana-6067	101	25	90	90	NUM
cana-6067	101	26	demand	demand	NOUN
cana-6067	101	27	85	85	NUM
cana-6067	101	28	35	35	NUM
cana-6067	101	29	50	50	NUM
cana-6067	101	30	45	45	NUM
cana-6067	101	31	215	215	NUM
cana-6067	101	32	minimize	minimize	NOUN
cana-6067	101	33	∑	∑	PUNCT
cana-6067	101	34	∑	∑	PUNCT
cana-6067	101	35	𝑐̅′𝑖𝑗	𝑐̅′𝑖𝑗	NOUN
cana-6067	101	36	𝑛	𝑛	DET
cana-6067	101	37	𝑗=1	𝑗=1	PROPN
cana-6067	101	38	𝑚	𝑚	ADP
cana-6067	101	39	𝑖=1	𝑖=1	PROPN
cana-6067	101	40	𝑥𝑖𝑗	𝑥𝑖𝑗	ADJ
cana-6067	101	41	subject	subject	NOUN
cana-6067	101	42	to	to	ADP
cana-6067	101	43	∑	∑	PROPN
cana-6067	101	44	𝑥𝑖𝑗	𝑥𝑖𝑗	PROPN
cana-6067	101	45	𝑚	𝑚	X
cana-6067	101	46	𝑖=1	𝑖=1	PUNCT
cana-6067	101	47	=	=	SYM
cana-6067	101	48	𝑎′𝑖	𝑎′𝑖	NOUN
cana-6067	101	49	,	,	PUNCT
cana-6067	101	50	i=1,2	i=1,2	ADJ
cana-6067	101	51	,	,	PUNCT
cana-6067	101	52	----m	----m	PUNCT
cana-6067	101	53	∑	∑	PROPN
cana-6067	101	54	𝑥𝑖𝑗	𝑥𝑖𝑗	PROPN
cana-6067	101	55	𝑛	𝑛	PRON
cana-6067	101	56	𝑗=1	𝑗=1	PROPN
cana-6067	101	57	=	=	SYM
cana-6067	101	58	𝑏′𝑗	𝑏′𝑗	PROPN
cana-6067	101	59	,	,	PUNCT
cana-6067	101	60	i=1	i=1	X
cana-6067	101	61	,	,	PUNCT
cana-6067	101	62	2	2	NUM
cana-6067	101	63	,	,	PUNCT
cana-6067	101	64	-----n	-----n	PUNCT
cana-6067	101	65	where	where	SCONJ
cana-6067	101	66	,	,	PUNCT
cana-6067	101	67	𝑎′𝑖	𝑎′𝑖	NOUN
cana-6067	101	68	:	:	PUNCT
cana-6067	101	69	the	the	DET
cana-6067	101	70	total	total	ADJ
cana-6067	101	71	quantity	quantity	NOUN
cana-6067	101	72	available	available	ADJ
cana-6067	101	73	at	at	ADP
cana-6067	101	74	the	the	DET
cana-6067	101	75	𝑖𝑡ℎ	𝑖𝑡ℎ	PROPN
cana-6067	101	76	source	source	NOUN
cana-6067	101	77	.	.	PUNCT
cana-6067	102	1	𝑏′𝑗:the	𝑏′𝑗:the	PRON
cana-6067	102	2	total	total	ADJ
cana-6067	102	3	amount	amount	NOUN
cana-6067	102	4	of	of	ADP
cana-6067	102	5	demand	demand	NOUN
cana-6067	102	6	at	at	ADP
cana-6067	102	7	the𝑗𝑡ℎdestination	the𝑗𝑡ℎdestination	NOUN
cana-6067	102	8	.	.	PUNCT
cana-6067	103	1	𝑥𝑖𝑗:total	𝑥𝑖𝑗:total	ADJ
cana-6067	103	2	quantity	quantity	NOUN
cana-6067	103	3	of	of	ADP
cana-6067	103	4	goods	good	NOUN
cana-6067	103	5	to	to	PART
cana-6067	103	6	be	be	AUX
cana-6067	103	7	delivered	deliver	VERB
cana-6067	103	8	from	from	ADP
cana-6067	103	9	the𝑖𝑡ℎ	the𝑖𝑡ℎ	NOUN
cana-6067	103	10	source	source	NOUN
cana-6067	103	11	to	to	ADP
cana-6067	103	12	𝑗𝑡ℎdestination	𝑗𝑡ℎdestination	NOUN
cana-6067	103	13	.	.	PUNCT
cana-6067	104	1	𝑐̅′𝑖𝑗	𝑐̅′𝑖𝑗	NOUN
cana-6067	104	2	:	:	PUNCT
cana-6067	104	3	the	the	DET
cana-6067	104	4	fuzzy	fuzzy	ADJ
cana-6067	104	5	cost	cost	NOUN
cana-6067	104	6	of	of	ADP
cana-6067	104	7	transportation	transportation	NOUN
cana-6067	104	8	of	of	ADP
cana-6067	104	9	a	a	DET
cana-6067	104	10	product	product	NOUN
cana-6067	104	11	from	from	ADP
cana-6067	104	12	𝑖𝑡ℎ	𝑖𝑡ℎ	NOUN
cana-6067	104	13	source	source	NOUN
cana-6067	104	14	to	to	ADP
cana-6067	104	15	𝑗𝑡ℎdestination	𝑗𝑡ℎdestination	NOUN
cana-6067	104	16	.	.	PUNCT
cana-6067	105	1	where	where	SCONJ
cana-6067	105	2	𝑐̅′𝑖𝑗are	𝑐̅′𝑖𝑗are	PRON
cana-6067	105	3	“	"	PUNCT
cana-6067	105	4	triangular	triangular	ADJ
cana-6067	105	5	fuzzy	fuzzy	ADJ
cana-6067	105	6	numbers	number	NOUN
cana-6067	105	7	”	"	PUNCT
cana-6067	105	8	of	of	ADP
cana-6067	105	9	the	the	DET
cana-6067	105	10	form	form	NOUN
cana-6067	105	11	𝐴̅′=	𝐴̅′=	X
cana-6067	105	12	(	(	PUNCT
cana-6067	105	13	𝑏	𝑏	NOUN
cana-6067	105	14	,	,	PUNCT
cana-6067	105	15	𝑒	𝑒	PROPN
cana-6067	105	16	,	,	PUNCT
cana-6067	105	17	𝑓	𝑓	X
cana-6067	105	18	)	)	PUNCT
cana-6067	105	19	.	.	PUNCT
cana-6067	106	1	communications	communication	NOUN
cana-6067	106	2	on	on	ADP
cana-6067	106	3	applied	apply	VERB
cana-6067	106	4	nonlinear	nonlinear	ADJ
cana-6067	106	5	analysis	analysis	NOUN
cana-6067	106	6	issn	issn	NOUN
cana-6067	106	7	:	:	PUNCT
cana-6067	106	8	1074	1074	NUM
cana-6067	106	9	-	-	PUNCT
cana-6067	106	10	133x	133x	NUM
cana-6067	106	11	vol	vol	VERB
cana-6067	106	12	32	32	NUM
cana-6067	106	13	no	no	NOUN
cana-6067	106	14	.	.	PUNCT
cana-6067	107	1	10s	10	NOUN
cana-6067	107	2	(	(	PUNCT
cana-6067	107	3	2025	2025	NUM
cana-6067	107	4	)	)	PUNCT
cana-6067	107	5	3284	3284	NUM
cana-6067	107	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6067	107	7	table	table	NOUN
cana-6067	107	8	2	2	NUM
cana-6067	107	9	:	:	PUNCT
cana-6067	107	10	vam	vam	PROPN
cana-6067	107	11	method	method	NOUN
cana-6067	107	12	destination	destination	NOUN
cana-6067	107	13	supply	supply	NOUN
cana-6067	107	14	source	source	NOUN
cana-6067	107	15	6	6	NUM
cana-6067	107	16	70	70	NUM
cana-6067	107	17	1	1	NUM
cana-6067	107	18	30	30	NUM
cana-6067	107	19	9	9	NUM
cana-6067	107	20	3	3	NUM
cana-6067	107	21	70	70	NUM
cana-6067	107	22	11	11	NUM
cana-6067	107	23	5	5	NUM
cana-6067	107	24	35	35	NUM
cana-6067	107	25	2	2	NUM
cana-6067	107	26	20	20	NUM
cana-6067	107	27	7	7	NUM
cana-6067	107	28	55	55	NUM
cana-6067	107	29	10	10	NUM
cana-6067	107	30	15	15	NUM
cana-6067	107	31	12	12	NUM
cana-6067	107	32	4	4	NUM
cana-6067	107	33	30	30	NUM
cana-6067	107	34	7	7	NUM
cana-6067	107	35	45	45	NUM
cana-6067	107	36	90	90	NUM
cana-6067	107	37	demand	demand	NOUN
cana-6067	107	38	85	85	NUM
cana-6067	107	39	35	35	NUM
cana-6067	107	40	50	50	NUM
cana-6067	107	41	45	45	NUM
cana-6067	107	42	215	215	NUM
cana-6067	107	43	vogel	vogel	NOUN
cana-6067	107	44	’s	’s	PART
cana-6067	107	45	approximation	approximation	NOUN
cana-6067	107	46	method	method	NOUN
cana-6067	107	47	(	(	PUNCT
cana-6067	107	48	vam	vam	PROPN
cana-6067	107	49	)	)	PUNCT
cana-6067	107	50	is	be	AUX
cana-6067	107	51	solved	solve	VERB
cana-6067	107	52	in	in	ADP
cana-6067	107	53	the	the	DET
cana-6067	107	54	initial	initial	ADJ
cana-6067	107	55	basic	basic	ADJ
cana-6067	107	56	feasible	feasible	ADJ
cana-6067	107	57	solution	solution	NOUN
cana-6067	107	58	(	(	PUNCT
cana-6067	107	59	ibfs	ibfs	NOUN
cana-6067	107	60	)	)	PUNCT
cana-6067	107	61	minimum	minimum	NOUN
cana-6067	107	62	cost=70	cost=70	ADJ
cana-6067	107	63	×	×	NOUN
cana-6067	107	64	6	6	NUM
cana-6067	107	65	+	+	SYM
cana-6067	107	66	35	35	NUM
cana-6067	107	67	×	×	NOUN
cana-6067	107	68	5	5	NUM
cana-6067	107	69	+	+	CCONJ
cana-6067	107	70	20	20	NUM
cana-6067	107	71	×	×	NOUN
cana-6067	107	72	2	2	NUM
cana-6067	107	73	+	+	CCONJ
cana-6067	107	74	15	15	NUM
cana-6067	107	75	×	×	NOUN
cana-6067	107	76	10	10	NUM
cana-6067	107	77	+	+	NUM
cana-6067	107	78	45	45	NUM
cana-6067	107	79	×	×	NOUN
cana-6067	107	80	7	7	NUM
cana-6067	107	81	+	+	CCONJ
cana-6067	107	82	30	30	NUM
cana-6067	107	83	×	×	NOUN
cana-6067	107	84	4=1220	4=1220	NUM
cana-6067	107	85	table	table	NOUN
cana-6067	107	86	3	3	NUM
cana-6067	107	87	:	:	PUNCT
cana-6067	107	88	modi	modi	PROPN
cana-6067	107	89	method	method	VERB
cana-6067	107	90	destination	destination	NOUN
cana-6067	107	91	supply	supply	NOUN
cana-6067	107	92	source	source	NOUN
cana-6067	107	93	6	6	NUM
cana-6067	107	94	40	40	NUM
cana-6067	107	95	1	1	NUM
cana-6067	107	96	30	30	NUM
cana-6067	107	97	9	9	NUM
cana-6067	107	98	3	3	NUM
cana-6067	107	99	70	70	NUM
cana-6067	107	100	11	11	NUM
cana-6067	107	101	5	5	NUM
cana-6067	107	102	5	5	NUM
cana-6067	107	103	2	2	NUM
cana-6067	107	104	50	50	NUM
cana-6067	107	105	7	7	NUM
cana-6067	107	106	55	55	NUM
cana-6067	107	107	10	10	NUM
cana-6067	107	108	45	45	NUM
cana-6067	107	109	12	12	NUM
cana-6067	107	110	4	4	NUM
cana-6067	107	111	7	7	NUM
cana-6067	107	112	45	45	NUM
cana-6067	107	113	90	90	NUM
cana-6067	107	114	demand	demand	NOUN
cana-6067	107	115	85	85	NUM
cana-6067	107	116	35	35	NUM
cana-6067	107	117	50	50	NUM
cana-6067	107	118	45	45	NUM
cana-6067	107	119	215	215	NUM
cana-6067	107	120	by	by	ADP
cana-6067	107	121	applying	apply	VERB
cana-6067	107	122	the	the	DET
cana-6067	107	123	modi	modi	PROPN
cana-6067	107	124	method	method	NOUN
cana-6067	107	125	given	give	VERB
cana-6067	107	126	in	in	ADP
cana-6067	107	127	table	table	NOUN
cana-6067	107	128	3	3	NUM
cana-6067	107	129	,	,	PUNCT
cana-6067	107	130	the	the	DET
cana-6067	107	131	associated	associated	ADJ
cana-6067	107	132	transportation	transportation	NOUN
cana-6067	107	133	cost	cost	NOUN
cana-6067	107	134	(	(	PUNCT
cana-6067	107	135	tc	tc	NOUN
cana-6067	107	136	)	)	PUNCT
cana-6067	107	137	optimization	optimization	NOUN
cana-6067	107	138	is	be	AUX
cana-6067	107	139	provided	provide	VERB
cana-6067	107	140	by	by	ADP
cana-6067	107	141	the	the	DET
cana-6067	107	142	modi	modi	PROPN
cana-6067	107	143	method	method	PROPN
cana-6067	107	144	.	.	PUNCT
cana-6067	108	1	minimum	minimum	NOUN
cana-6067	108	2	cost=6	cost=6	PROPN
cana-6067	108	3	×	×	NOUN
cana-6067	108	4	40	40	NUM
cana-6067	109	1	+	+	CCONJ
cana-6067	109	2	1	1	NUM
cana-6067	109	3	×	×	NOUN
cana-6067	109	4	30	30	NUM
cana-6067	110	1	+	+	CCONJ
cana-6067	110	2	5	5	NUM
cana-6067	110	3	×	×	NOUN
cana-6067	110	4	5	5	NUM
cana-6067	110	5	+	+	CCONJ
cana-6067	110	6	2	2	NUM
cana-6067	110	7	×	×	NOUN
cana-6067	110	8	50	50	NUM
cana-6067	110	9	+	+	NUM
cana-6067	110	10	10	10	NUM
cana-6067	110	11	×	×	NOUN
cana-6067	110	12	45	45	NUM
cana-6067	110	13	+	+	CCONJ
cana-6067	110	14	7	7	NUM
cana-6067	110	15	×	×	PROPN
cana-6067	110	16	45=1160	45=1160	PROPN
cana-6067	110	17	.	.	PROPN
cana-6067	110	18	proposed	propose	VERB
cana-6067	110	19	method	method	NOUN
cana-6067	110	20	examine	examine	VERB
cana-6067	110	21	a	a	DET
cana-6067	110	22	balanced	balanced	ADJ
cana-6067	110	23	“	"	PUNCT
cana-6067	110	24	fuzzy	fuzzy	ADJ
cana-6067	110	25	transportation	transportation	NOUN
cana-6067	110	26	problem	problem	NOUN
cana-6067	110	27	”	"	PUNCT
cana-6067	110	28	with	with	ADP
cana-6067	110	29	four	four	NUM
cana-6067	110	30	destinations	destination	NOUN
cana-6067	110	31	and	and	CCONJ
cana-6067	110	32	three	three	NUM
cana-6067	110	33	suppliers	supplier	NOUN
cana-6067	110	34	,	,	PUNCT
cana-6067	110	35	where	where	SCONJ
cana-6067	110	36	the	the	DET
cana-6067	110	37	product	product	NOUN
cana-6067	110	38	’s	’s	PART
cana-6067	110	39	unit	unit	NOUN
cana-6067	110	40	cost	cost	NOUN
cana-6067	110	41	is	be	AUX
cana-6067	110	42	the	the	DET
cana-6067	110	43	only	only	ADJ
cana-6067	110	44	fuzzy	fuzzy	ADJ
cana-6067	110	45	number	number	NOUN
cana-6067	110	46	represented	represent	VERB
cana-6067	110	47	.	.	PUNCT
cana-6067	111	1	table	table	NOUN
cana-6067	111	2	4	4	NUM
cana-6067	111	3	:	:	PUNCT
cana-6067	111	4	fuzzy	fuzzy	ADJ
cana-6067	111	5	transportation	transportation	NOUN
cana-6067	111	6	problem	problem	NOUN
cana-6067	111	7	destination	destination	NOUN
cana-6067	111	8	supply	supply	NOUN
cana-6067	111	9	source	source	NOUN
cana-6067	112	1	𝑐̅′11	𝑐̅′11	PROPN
cana-6067	112	2	𝑐̅′12	𝑐̅′12	NOUN
cana-6067	112	3	𝑐̅′13	𝑐̅′13	ADV
cana-6067	112	4	𝑐̅′14	𝑐̅′14	ADJ
cana-6067	112	5	𝑆1	𝑆1	NOUN
cana-6067	112	6	𝑐̅′21	𝑐̅′21	ADJ
cana-6067	112	7	𝑐̅′22	𝑐̅′22	PROPN
cana-6067	112	8	𝑐̅′23	𝑐̅′23	PROPN
cana-6067	112	9	𝑐̅′24	𝑐̅′24	PROPN
cana-6067	112	10	𝑆2	𝑆2	PROPN
cana-6067	112	11	𝑐̅′31	𝑐̅′31	PROPN
cana-6067	112	12	𝑐̅′32	𝑐̅′32	PROPN
cana-6067	112	13	𝑐̅′33	𝑐̅′33	PROPN
cana-6067	112	14	𝑐̅′34	𝑐̅′34	PROPN
cana-6067	112	15	𝑆3	𝑆3	PROPN
cana-6067	112	16	demand	demand	NOUN
cana-6067	112	17	𝐷1	𝐷1	PROPN
cana-6067	112	18	𝐷2	𝐷2	PROPN
cana-6067	112	19	𝐷3	𝐷3	PROPN
cana-6067	112	20	𝐷4	𝐷4	PROPN
cana-6067	112	21	total	total	NOUN
cana-6067	112	22	minimize	minimize	VERB
cana-6067	112	23	∑	∑	PUNCT
cana-6067	112	24	∑	∑	PROPN
cana-6067	112	25	𝑐̅′𝑖𝑗	𝑐̅′𝑖𝑗	NOUN
cana-6067	112	26	𝑛	𝑛	PRON
cana-6067	112	27	𝑗=1	𝑗=1	PROPN
cana-6067	112	28	𝑚	𝑚	ADP
cana-6067	112	29	𝑖=1	𝑖=1	PROPN
cana-6067	112	30	𝑥𝑖𝑗	𝑥𝑖𝑗	PROPN
cana-6067	112	31	communications	communication	NOUN
cana-6067	112	32	on	on	ADP
cana-6067	112	33	applied	apply	VERB
cana-6067	112	34	nonlinear	nonlinear	ADJ
cana-6067	112	35	analysis	analysis	NOUN
cana-6067	112	36	issn	issn	NOUN
cana-6067	112	37	:	:	PUNCT
cana-6067	112	38	1074	1074	NUM
cana-6067	112	39	-	-	PUNCT
cana-6067	112	40	133x	133x	NUM
cana-6067	112	41	vol	vol	VERB
cana-6067	112	42	32	32	NUM
cana-6067	112	43	no	no	NOUN
cana-6067	112	44	.	.	PUNCT
cana-6067	113	1	10s	10	NOUN
cana-6067	113	2	(	(	PUNCT
cana-6067	113	3	2025	2025	NUM
cana-6067	113	4	)	)	PUNCT
cana-6067	113	5	3285	3285	NUM
cana-6067	113	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6067	113	7	subject	subject	ADJ
cana-6067	113	8	to	to	ADP
cana-6067	113	9	∑	∑	PROPN
cana-6067	113	10	𝑥𝑖𝑗	𝑥𝑖𝑗	PROPN
cana-6067	113	11	𝑚	𝑚	X
cana-6067	113	12	𝑖=1	𝑖=1	PUNCT
cana-6067	113	13	=	=	SYM
cana-6067	113	14	𝑎′𝑖	𝑎′𝑖	NOUN
cana-6067	113	15	,	,	PUNCT
cana-6067	113	16	i=1	i=1	X
cana-6067	113	17	,	,	PUNCT
cana-6067	113	18	2	2	NUM
cana-6067	113	19	,	,	PUNCT
cana-6067	113	20	----m	----m	PUNCT
cana-6067	113	21	∑	∑	PROPN
cana-6067	113	22	𝑥𝑖𝑗	𝑥𝑖𝑗	PROPN
cana-6067	113	23	𝑛	𝑛	PRON
cana-6067	113	24	𝑗=1	𝑗=1	PROPN
cana-6067	113	25	=	=	SYM
cana-6067	113	26	𝑏′𝑗	𝑏′𝑗	PROPN
cana-6067	113	27	,	,	PUNCT
cana-6067	113	28	i=1	i=1	X
cana-6067	113	29	,	,	PUNCT
cana-6067	113	30	2	2	NUM
cana-6067	113	31	,	,	PUNCT
cana-6067	113	32	-----n	-----n	PUNCT
cana-6067	113	33	where	where	SCONJ
cana-6067	113	34	,	,	PUNCT
cana-6067	113	35	𝑎′𝑖	𝑎′𝑖	NOUN
cana-6067	113	36	:	:	PUNCT
cana-6067	113	37	the	the	DET
cana-6067	113	38	total	total	ADJ
cana-6067	113	39	quantity	quantity	NOUN
cana-6067	113	40	available	available	ADJ
cana-6067	113	41	at	at	ADP
cana-6067	113	42	the	the	DET
cana-6067	113	43	𝑖𝑡ℎ	𝑖𝑡ℎ	PROPN
cana-6067	113	44	source	source	NOUN
cana-6067	113	45	.	.	PUNCT
cana-6067	114	1	𝑏′𝑗	𝑏′𝑗	NOUN
cana-6067	114	2	:	:	PUNCT
cana-6067	114	3	the	the	DET
cana-6067	114	4	total	total	ADJ
cana-6067	114	5	amount	amount	NOUN
cana-6067	114	6	of	of	ADP
cana-6067	114	7	demand	demand	NOUN
cana-6067	114	8	at	at	ADP
cana-6067	114	9	the𝑗𝑡ℎ	the𝑗𝑡ℎ	ADJ
cana-6067	114	10	destination	destination	NOUN
cana-6067	114	11	.	.	PUNCT
cana-6067	115	1	𝑥𝑖𝑗	𝑥𝑖𝑗	PROPN
cana-6067	115	2	:	:	PUNCT
cana-6067	115	3	total	total	ADJ
cana-6067	115	4	quantity	quantity	NOUN
cana-6067	115	5	of	of	ADP
cana-6067	115	6	goods	good	NOUN
cana-6067	115	7	to	to	PART
cana-6067	115	8	be	be	AUX
cana-6067	115	9	delivered	deliver	VERB
cana-6067	115	10	from	from	ADP
cana-6067	115	11	the𝑖𝑡ℎ	the𝑖𝑡ℎ	NOUN
cana-6067	115	12	source	source	NOUN
cana-6067	115	13	to	to	ADP
cana-6067	115	14	𝑗𝑡ℎdestination	𝑗𝑡ℎdestination	NOUN
cana-6067	115	15	.	.	PUNCT
cana-6067	116	1	𝑐̅′𝑖𝑗	𝑐̅′𝑖𝑗	PROPN
cana-6067	116	2	:	:	PUNCT
cana-6067	116	3	the	the	DET
cana-6067	116	4	unit	unit	NOUN
cana-6067	116	5	fuzzy	fuzzy	ADJ
cana-6067	116	6	cost	cost	NOUN
cana-6067	116	7	of	of	ADP
cana-6067	116	8	transportation	transportation	NOUN
cana-6067	116	9	of	of	ADP
cana-6067	116	10	a	a	DET
cana-6067	116	11	unit	unit	NOUN
cana-6067	116	12	product	product	NOUN
cana-6067	116	13	from	from	ADP
cana-6067	116	14	𝑖𝑡ℎ	𝑖𝑡ℎ	NOUN
cana-6067	116	15	source	source	NOUN
cana-6067	116	16	to	to	ADP
cana-6067	116	17	𝑗𝑡ℎdestination	𝑗𝑡ℎdestination	NOUN
cana-6067	116	18	.	.	PUNCT
cana-6067	117	1	where	where	SCONJ
cana-6067	117	2	𝑐̅′𝑖𝑗are	𝑐̅′𝑖𝑗are	PRON
cana-6067	117	3	“	"	PUNCT
cana-6067	117	4	triangular	triangular	ADJ
cana-6067	117	5	fuzzy	fuzzy	ADJ
cana-6067	117	6	numbers	number	NOUN
cana-6067	117	7	”	"	PUNCT
cana-6067	117	8	of	of	ADP
cana-6067	117	9	the	the	DET
cana-6067	117	10	form	form	NOUN
cana-6067	117	11	𝐴̅′=	𝐴̅′=	X
cana-6067	117	12	(	(	PUNCT
cana-6067	117	13	𝑏	𝑏	NOUN
cana-6067	117	14	,	,	PUNCT
cana-6067	117	15	𝑒	𝑒	PROPN
cana-6067	117	16	,	,	PUNCT
cana-6067	117	17	𝑓	𝑓	X
cana-6067	117	18	)	)	PUNCT
cana-6067	117	19	.	.	PUNCT
cana-6067	118	1	to	to	PART
cana-6067	118	2	explain	explain	VERB
cana-6067	118	3	how	how	SCONJ
cana-6067	118	4	the	the	DET
cana-6067	118	5	fuzzy	fuzzy	ADJ
cana-6067	118	6	transportation	transportation	NOUN
cana-6067	118	7	problem	problem	NOUN
cana-6067	118	8	by	by	ADP
cana-6067	118	9	fuzzy	fuzzy	ADJ
cana-6067	118	10	reuben	reuben	PROPN
cana-6067	118	11	works	work	VERB
cana-6067	118	12	,	,	PUNCT
cana-6067	118	13	we	we	PRON
cana-6067	118	14	consider	consider	VERB
cana-6067	118	15	the	the	DET
cana-6067	118	16	above	above	ADJ
cana-6067	118	17	illustration	illustration	NOUN
cana-6067	118	18	,	,	PUNCT
cana-6067	118	19	which	which	PRON
cana-6067	118	20	explains	explain	VERB
cana-6067	118	21	the	the	DET
cana-6067	118	22	vam	vam	NOUN
cana-6067	118	23	and	and	CCONJ
cana-6067	118	24	modi	modi	PROPN
cana-6067	118	25	methods	method	NOUN
cana-6067	118	26	.	.	PUNCT
cana-6067	119	1	the	the	DET
cana-6067	119	2	minimum	minimum	ADJ
cana-6067	119	3	and	and	CCONJ
cana-6067	119	4	maximum	maximum	ADJ
cana-6067	119	5	unit	unit	NOUN
cana-6067	119	6	cost	cost	NOUN
cana-6067	119	7	ranges	range	NOUN
cana-6067	119	8	vary	vary	VERB
cana-6067	119	9	from	from	ADP
cana-6067	119	10	source	source	NOUN
cana-6067	119	11	point	point	NOUN
cana-6067	119	12	to	to	ADP
cana-6067	119	13	destination	destination	NOUN
cana-6067	119	14	point	point	NOUN
cana-6067	119	15	,	,	PUNCT
cana-6067	119	16	as	as	SCONJ
cana-6067	119	17	shown	show	VERB
cana-6067	119	18	below	below	ADV
cana-6067	119	19	.	.	PUNCT
cana-6067	120	1	𝑐11=(5,6,7	𝑐11=(5,6,7	NOUN
cana-6067	120	2	)	)	PUNCT
cana-6067	120	3	,	,	PUNCT
cana-6067	121	1	𝑐12=(0,1,2	𝑐12=(0,1,2	NOUN
cana-6067	121	2	)	)	PUNCT
cana-6067	121	3	,	,	PUNCT
cana-6067	121	4	𝑐13=(7,9,10	𝑐13=(7,9,10	PROPN
cana-6067	121	5	)	)	PUNCT
cana-6067	121	6	,	,	PUNCT
cana-6067	121	7	𝑐14	𝑐14	NOUN
cana-6067	121	8	=	=	SYM
cana-6067	121	9	(	(	PUNCT
cana-6067	121	10	1,3,4	1,3,4	NUM
cana-6067	121	11	)	)	PUNCT
cana-6067	121	12	,	,	PUNCT
cana-6067	121	13	𝑐21=(10,11,12),𝑐22=(4,5,6),𝑐23=(1,2,3),𝑐24=(7,8,9	𝑐21=(10,11,12),𝑐22=(4,5,6),𝑐23=(1,2,3),𝑐24=(7,8,9	PROPN
cana-6067	121	14	)	)	PUNCT
cana-6067	121	15	,	,	PUNCT
cana-6067	121	16	𝑐31=(9,10,11),𝑐32=(11,12,13),𝑐33=(2,4,5	𝑐31=(9,10,11),𝑐32=(11,12,13),𝑐33=(2,4,5	NOUN
cana-6067	121	17	)	)	PUNCT
cana-6067	121	18	,	,	PUNCT
cana-6067	121	19	𝑐34=(6,7,8	𝑐34=(6,7,8	PROPN
cana-6067	121	20	)	)	PUNCT
cana-6067	121	21	,	,	PUNCT
cana-6067	121	22	𝑆1=70	𝑆1=70	PROPN
cana-6067	121	23	,	,	PUNCT
cana-6067	121	24	𝑆2=55	𝑆2=55	PROPN
cana-6067	121	25	,	,	PUNCT
cana-6067	121	26	𝑆3=90	𝑆3=90	PROPN
cana-6067	121	27	,	,	PUNCT
cana-6067	121	28	𝐷1=85	𝐷1=85	PROPN
cana-6067	121	29	,	,	PUNCT
cana-6067	121	30	𝐷2=35,𝐷3=50,𝐷4=45,total=215	𝐷2=35,𝐷3=50,𝐷4=45,total=215	NOUN
cana-6067	121	31	.	.	PUNCT
cana-6067	121	32	now	now	ADV
cana-6067	121	33	,	,	PUNCT
cana-6067	121	34	given	give	VERB
cana-6067	121	35	that	that	SCONJ
cana-6067	121	36	the	the	DET
cana-6067	121	37	total	total	ADJ
cana-6067	121	38	supply	supply	NOUN
cana-6067	121	39	equals	equal	VERB
cana-6067	121	40	to	to	ADP
cana-6067	121	41	the	the	DET
cana-6067	121	42	total	total	ADJ
cana-6067	121	43	demand	demand	NOUN
cana-6067	121	44	,	,	PUNCT
cana-6067	121	45	the	the	DET
cana-6067	121	46	problem	problem	NOUN
cana-6067	121	47	is	be	AUX
cana-6067	121	48	defined	define	VERB
cana-6067	121	49	as	as	ADP
cana-6067	121	50	“	"	PUNCT
cana-6067	121	51	balanced	balanced	ADJ
cana-6067	121	52	transportation	transportation	NOUN
cana-6067	121	53	problem	problem	NOUN
cana-6067	121	54	.	.	PUNCT
cana-6067	121	55	”	"	PUNCT
cana-6067	121	56	table	table	NOUN
cana-6067	121	57	5	5	NUM
cana-6067	121	58	:	:	PUNCT
cana-6067	121	59	fuzzy	fuzzy	ADJ
cana-6067	121	60	transportation	transportation	NOUN
cana-6067	121	61	problem	problem	NOUN
cana-6067	121	62	by	by	ADP
cana-6067	121	63	fuzzy	fuzzy	ADJ
cana-6067	121	64	reuben	reuben	PROPN
cana-6067	121	65	destination	destination	NOUN
cana-6067	121	66	supply	supply	NOUN
cana-6067	121	67	source	source	NOUN
cana-6067	121	68	(	(	PUNCT
cana-6067	121	69	5,6,7	5,6,7	NOUN
cana-6067	121	70	)	)	PUNCT
cana-6067	121	71	rank=6	rank=6	NOUN
cana-6067	122	1	(	(	PUNCT
cana-6067	122	2	0,1,2	0,1,2	NUM
cana-6067	122	3	)	)	PUNCT
cana-6067	122	4	rank=1	rank=1	NOUN
cana-6067	123	1	(	(	PUNCT
cana-6067	123	2	7,9,10	7,9,10	NUM
cana-6067	123	3	)	)	PUNCT
cana-6067	123	4	rank=35/4	rank=35/4	NOUN
cana-6067	123	5	(	(	PUNCT
cana-6067	123	6	1,3,4	1,3,4	NUM
cana-6067	123	7	)	)	PUNCT
cana-6067	123	8	rank=11/4	rank=11/4	NOUN
cana-6067	123	9	70	70	NUM
cana-6067	123	10	(	(	PUNCT
cana-6067	123	11	10,11,12	10,11,12	NUM
cana-6067	123	12	)	)	PUNCT
cana-6067	123	13	rank=11	rank=11	NOUN
cana-6067	123	14	(	(	PUNCT
cana-6067	123	15	4,5,6	4,5,6	NUM
cana-6067	123	16	)	)	PUNCT
cana-6067	123	17	rank=5	rank=5	NOUN
cana-6067	124	1	(	(	PUNCT
cana-6067	124	2	1,2,3	1,2,3	NOUN
cana-6067	124	3	)	)	PUNCT
cana-6067	124	4	rank=2	rank=2	PROPN
cana-6067	125	1	(	(	PUNCT
cana-6067	125	2	7,8,9	7,8,9	NOUN
cana-6067	125	3	)	)	PUNCT
cana-6067	125	4	rank=8	rank=8	PROPN
cana-6067	125	5	55	55	NUM
cana-6067	125	6	(	(	PUNCT
cana-6067	125	7	9,10,11	9,10,11	NUM
cana-6067	125	8	)	)	PUNCT
cana-6067	125	9	rank=10	rank=10	NOUN
cana-6067	125	10	(	(	PUNCT
cana-6067	125	11	11,12,13	11,12,13	NUM
cana-6067	125	12	)	)	PUNCT
cana-6067	125	13	rank=12	rank=12	NOUN
cana-6067	125	14	(	(	PUNCT
cana-6067	125	15	2,4,5	2,4,5	NUM
cana-6067	125	16	)	)	PUNCT
cana-6067	125	17	rank=15/4	rank=15/4	NOUN
cana-6067	125	18	(	(	PUNCT
cana-6067	125	19	6,7,8	6,7,8	NUM
cana-6067	125	20	)	)	PUNCT
cana-6067	125	21	rank=7	rank=7	NOUN
cana-6067	125	22	90	90	NUM
cana-6067	125	23	demand	demand	NOUN
cana-6067	125	24	85	85	NUM
cana-6067	125	25	35	35	NUM
cana-6067	125	26	50	50	NUM
cana-6067	125	27	45	45	NUM
cana-6067	125	28	215	215	NUM
cana-6067	125	29	each	each	PRON
cana-6067	125	30	and	and	CCONJ
cana-6067	125	31	every	every	PRON
cana-6067	125	32	number	number	NOUN
cana-6067	125	33	represented	represent	VERB
cana-6067	125	34	by	by	ADP
cana-6067	125	35	a	a	DET
cana-6067	125	36	triangular	triangular	ADJ
cana-6067	125	37	fuzzy	fuzzy	ADJ
cana-6067	125	38	numbers	number	NOUN
cana-6067	125	39	(	(	PUNCT
cana-6067	125	40	tfn	tfn	NOUN
cana-6067	125	41	)	)	PUNCT
cana-6067	125	42	𝐴̅′=	𝐴̅′=	PROPN
cana-6067	125	43	(	(	PUNCT
cana-6067	125	44	𝑏	𝑏	NOUN
cana-6067	125	45	,	,	PUNCT
cana-6067	125	46	𝑒	𝑒	PROPN
cana-6067	125	47	,	,	PUNCT
cana-6067	125	48	𝑓	𝑓	X
cana-6067	125	49	)	)	PUNCT
cana-6067	125	50	.	.	PUNCT
cana-6067	126	1	this	this	PRON
cana-6067	126	2	is	be	AUX
cana-6067	126	3	a	a	DET
cana-6067	126	4	fuzzy	fuzzy	ADJ
cana-6067	126	5	transported	transport	VERB
cana-6067	126	6	problem	problem	NOUN
cana-6067	126	7	with	with	ADP
cana-6067	126	8	balance	balance	NOUN
cana-6067	126	9	(	(	PUNCT
cana-6067	126	10	bftp	bftp	ADJ
cana-6067	126	11	)	)	PUNCT
cana-6067	126	12	.	.	PUNCT
cana-6067	127	1	it	it	PRON
cana-6067	127	2	can	can	AUX
cana-6067	127	3	be	be	AUX
cana-6067	127	4	de	de	ADJ
cana-6067	127	5	-	-	ADJ
cana-6067	127	6	fuzzified	fuzzified	ADJ
cana-6067	127	7	using	use	VERB
cana-6067	127	8	the	the	DET
cana-6067	127	9	reuben	reuben	NOUN
cana-6067	127	10	’s	’s	PART
cana-6067	127	11	rankingfunction.for	rankingfunction.for	ADP
cana-6067	127	12	example	example	NOUN
cana-6067	127	13	,	,	PUNCT
cana-6067	127	14	tfn	tfn	NOUN
cana-6067	127	15	of	of	ADP
cana-6067	127	16	the	the	DET
cana-6067	127	17	form𝑐11=	form𝑐11=	PROPN
cana-6067	127	18	(	(	PUNCT
cana-6067	127	19	5,6,7	5,6,7	NOUN
cana-6067	127	20	)	)	PUNCT
cana-6067	127	21	,	,	PUNCT
cana-6067	128	1	the𝛼–level	the𝛼–level	PROPN
cana-6067	128	2	set	set	NOUN
cana-6067	128	3	of	of	ADP
cana-6067	128	4	such	such	DET
cana-6067	128	5	a	a	DET
cana-6067	128	6	fuzzy	fuzzy	ADJ
cana-6067	128	7	number	number	NOUN
cana-6067	128	8	is	be	AUX
cana-6067	128	9	[	[	PUNCT
cana-6067	128	10	r′	r′	NUM
cana-6067	128	11	,	,	PUNCT
cana-6067	128	12	s′	s′	X
cana-6067	128	13	]	]	PUNCT
cana-6067	128	14	where	where	SCONJ
cana-6067	128	15	r′	r′	NOUN
cana-6067	128	16	=	=	PUNCT
cana-6067	129	1	[	[	X
cana-6067	129	2	5	5	NUM
cana-6067	129	3	+	+	CCONJ
cana-6067	129	4	(	(	PUNCT
cana-6067	129	5	6	6	NUM
cana-6067	129	6	−	−	PROPN
cana-6067	129	7	5)𝛼	5)𝛼	NUM
cana-6067	129	8	]	]	PUNCT
cana-6067	129	9	,	,	PUNCT
cana-6067	129	10	s′	s′	ADJ
cana-6067	129	11	=	=	PUNCT
cana-6067	129	12	[	[	X
cana-6067	129	13	7	7	NUM
cana-6067	129	14	−	−	NOUN
cana-6067	129	15	(	(	PUNCT
cana-6067	129	16	7	7	NUM
cana-6067	129	17	−	−	PROPN
cana-6067	129	18	6)𝛼	6)𝛼	NOUN
cana-6067	129	19	]	]	X
cana-6067	130	1	r	r	NOUN
cana-6067	130	2	(	(	PUNCT
cana-6067	130	3	𝐴̅′	𝐴̅′	NOUN
cana-6067	130	4	)	)	PUNCT
cana-6067	130	5	of	of	ADP
cana-6067	130	6	𝑐11	𝑐11	NOUN
cana-6067	130	7	=	=	NOUN
cana-6067	130	8	1	1	NUM
cana-6067	130	9	2	2	NUM
cana-6067	130	10	∫	∫	NOUN
cana-6067	130	11	(	(	PUNCT
cana-6067	130	12	5	5	NUM
cana-6067	130	13	+	+	SYM
cana-6067	130	14	𝛼	𝛼	PRON
cana-6067	130	15	+	+	NOUN
cana-6067	130	16	7	7	NUM
cana-6067	130	17	−	−	NOUN
cana-6067	130	18	𝛼	𝛼	X
cana-6067	130	19	)	)	PUNCT
cana-6067	130	20	dα	dα	VERB
cana-6067	130	21	1	1	NUM
cana-6067	130	22	0	0	NUM
cana-6067	130	23	=	=	SYM
cana-6067	130	24	1	1	NUM
cana-6067	130	25	2	2	NUM
cana-6067	130	26	∫	∫	NOUN
cana-6067	130	27	12	12	NUM
cana-6067	130	28	dα	dα	ADJ
cana-6067	130	29	1	1	NUM
cana-6067	130	30	0	0	NUM
cana-6067	130	31	=	=	SYM
cana-6067	130	32	6	6	NUM
cana-6067	130	33	similarly	similarly	ADV
cana-6067	130	34	,	,	PUNCT
cana-6067	130	35	𝑐12=	𝑐12=	PROPN
cana-6067	130	36	1	1	NUM
cana-6067	130	37	,	,	PUNCT
cana-6067	130	38	𝑐13=	𝑐13=	PROPN
cana-6067	130	39	35/4	35/4	NUM
cana-6067	130	40	,	,	PUNCT
cana-6067	130	41	𝑐14	𝑐14	NOUN
cana-6067	130	42	=	=	SYM
cana-6067	130	43	11/4	11/4	NUM
cana-6067	130	44	,	,	PUNCT
cana-6067	130	45	𝑐21=	𝑐21=	NOUN
cana-6067	130	46	11	11	NUM
cana-6067	130	47	,	,	PUNCT
cana-6067	130	48	𝑐22=	𝑐22=	PROPN
cana-6067	130	49	5	5	NUM
cana-6067	130	50	,	,	PUNCT
cana-6067	130	51	𝑐23=	𝑐23=	NUM
cana-6067	130	52	2	2	NUM
cana-6067	130	53	,	,	PUNCT
cana-6067	130	54	𝑐24=	𝑐24=	PROPN
cana-6067	130	55	8	8	NUM
cana-6067	130	56	,	,	PUNCT
cana-6067	130	57	𝑐31=	𝑐31=	NUM
cana-6067	130	58	10	10	NUM
cana-6067	130	59	,	,	PUNCT
cana-6067	130	60	communications	communication	NOUN
cana-6067	130	61	on	on	ADP
cana-6067	130	62	applied	apply	VERB
cana-6067	130	63	nonlinear	nonlinear	ADJ
cana-6067	130	64	analysis	analysis	NOUN
cana-6067	130	65	issn	issn	NOUN
cana-6067	130	66	:	:	PUNCT
cana-6067	130	67	1074	1074	NUM
cana-6067	130	68	-	-	PUNCT
cana-6067	130	69	133x	133x	NUM
cana-6067	130	70	vol	vol	VERB
cana-6067	130	71	32	32	NUM
cana-6067	130	72	no	no	NOUN
cana-6067	130	73	.	.	PUNCT
cana-6067	131	1	10s	10	NOUN
cana-6067	131	2	(	(	PUNCT
cana-6067	131	3	2025	2025	NUM
cana-6067	131	4	)	)	PUNCT
cana-6067	131	5	3286	3286	NUM
cana-6067	131	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6067	131	7	𝑐32=	𝑐32=	PRON
cana-6067	131	8	12	12	NUM
cana-6067	131	9	,	,	PUNCT
cana-6067	131	10	𝑐33=	𝑐33=	NUM
cana-6067	131	11	15/4	15/4	NUM
cana-6067	131	12	,	,	PUNCT
cana-6067	131	13	𝑐34=	𝑐34=	NUM
cana-6067	131	14	7.the	7.the	DET
cana-6067	131	15	reuben	reuben	NOUN
cana-6067	131	16	’s	’s	PART
cana-6067	131	17	ranking	rank	VERB
cana-6067	131	18	function	function	NOUN
cana-6067	131	19	for	for	ADP
cana-6067	131	20	the	the	DET
cana-6067	131	21	fuzzy	fuzzy	ADJ
cana-6067	131	22	cost	cost	NOUN
cana-6067	131	23	matrix	matrix	NOUN
cana-6067	131	24	are	be	AUX
cana-6067	131	25	calculated	calculate	VERB
cana-6067	131	26	in	in	ADP
cana-6067	131	27	table5	table5	PROPN
cana-6067	131	28	.	.	PUNCT
cana-6067	132	1	this	this	PRON
cana-6067	132	2	reduces	reduce	VERB
cana-6067	132	3	the	the	DET
cana-6067	132	4	transportation	transportation	NOUN
cana-6067	132	5	issue	issue	NOUN
cana-6067	132	6	with	with	ADP
cana-6067	132	7	every	every	DET
cana-6067	132	8	crisp	crisp	ADJ
cana-6067	132	9	coefficient	coefficient	NOUN
cana-6067	132	10	.	.	PUNCT
cana-6067	133	1	the	the	DET
cana-6067	133	2	initial	initial	ADJ
cana-6067	133	3	fuzzy	fuzzy	ADJ
cana-6067	133	4	basic	basic	ADJ
cana-6067	133	5	feasible	feasible	ADJ
cana-6067	133	6	solution	solution	NOUN
cana-6067	133	7	(	(	PUNCT
cana-6067	133	8	ifbfs	ifbfs	NOUN
cana-6067	133	9	)	)	PUNCT
cana-6067	133	10	is	be	AUX
cana-6067	133	11	a	a	DET
cana-6067	133	12	solved	solve	VERB
cana-6067	133	13	fuzzy	fuzzy	ADJ
cana-6067	133	14	version	version	NOUN
cana-6067	133	15	of	of	ADP
cana-6067	133	16	vogel	vogel	NOUN
cana-6067	133	17	’s	’s	PART
cana-6067	133	18	approximation	approximation	NOUN
cana-6067	133	19	method	method	NOUN
cana-6067	133	20	(	(	PUNCT
cana-6067	133	21	vam	vam	NOUN
cana-6067	133	22	)	)	PUNCT
cana-6067	133	23	in	in	ADP
cana-6067	133	24	table	table	NOUN
cana-6067	133	25	2	2	NUM
cana-6067	133	26	.	.	PUNCT
cana-6067	133	27	table	table	NOUN
cana-6067	133	28	6	6	NUM
cana-6067	133	29	:	:	PUNCT
cana-6067	133	30	modi	modi	PROPN
cana-6067	133	31	method	method	VERB
cana-6067	133	32	the	the	DET
cana-6067	133	33	modi	modi	PROPN
cana-6067	133	34	method	method	NOUN
cana-6067	133	35	provides	provide	VERB
cana-6067	133	36	the	the	DET
cana-6067	133	37	associated	associated	ADJ
cana-6067	133	38	fuzzy	fuzzy	ADJ
cana-6067	133	39	transportation	transportation	NOUN
cana-6067	133	40	cost	cost	NOUN
cana-6067	133	41	optimization	optimization	NOUN
cana-6067	133	42	by	by	ADP
cana-6067	133	43	using	use	VERB
cana-6067	133	44	the	the	DET
cana-6067	133	45	fuzzy	fuzzy	ADJ
cana-6067	133	46	version	version	NOUN
cana-6067	133	47	of	of	ADP
cana-6067	133	48	the	the	DET
cana-6067	133	49	modi	modi	PROPN
cana-6067	133	50	method	method	NOUN
cana-6067	133	51	,	,	PUNCT
cana-6067	133	52	which	which	PRON
cana-6067	133	53	is	be	AUX
cana-6067	133	54	shown	show	VERB
cana-6067	133	55	in	in	ADP
cana-6067	133	56	table	table	NOUN
cana-6067	133	57	6	6	NUM
cana-6067	133	58	.	.	PUNCT
cana-6067	134	1	minimum	minimum	PROPN
cana-6067	134	2	cost=1×30	cost=1×30	PROPN
cana-6067	134	3	+	+	PROPN
cana-6067	134	4	2×40	2×40	NUM
cana-6067	134	5	+	+	ADJ
cana-6067	134	6	5×5	5×5	NUM
cana-6067	134	7	+	+	NOUN
cana-6067	134	8	2×50	2×50	NUM
cana-6067	134	9	+	+	ADJ
cana-6067	134	10	10×5	10×5	ADJ
cana-6067	134	11	+	+	ADJ
cana-6067	134	12	7×5=1120	7×5=1120	ADJ
cana-6067	134	13	.	.	NOUN
cana-6067	134	14	3	3	X
cana-6067	134	15	.	.	NOUN
cana-6067	134	16	results	result	VERB
cana-6067	134	17	a	a	DET
cana-6067	134	18	set	set	NOUN
cana-6067	134	19	of	of	ADP
cana-6067	134	20	novel	novel	NOUN
cana-6067	134	21	ranking	ranking	NOUN
cana-6067	134	22	methods	method	NOUN
cana-6067	134	23	on	on	ADP
cana-6067	134	24	heptagonal	heptagonal	ADJ
cana-6067	134	25	fuzzy	fuzzy	ADJ
cana-6067	134	26	numbers	number	NOUN
cana-6067	134	27	were	be	AUX
cana-6067	134	28	used	use	VERB
cana-6067	134	29	in	in	ADP
cana-6067	134	30	a	a	DET
cana-6067	134	31	novel	novel	NOUN
cana-6067	134	32	approaching	approach	VERB
cana-6067	134	33	for	for	ADP
cana-6067	134	34	solving	solve	VERB
cana-6067	134	35	the	the	DET
cana-6067	134	36	fuzzy	fuzzy	ADJ
cana-6067	134	37	transportation	transportation	NOUN
cana-6067	134	38	problem	problem	NOUN
cana-6067	134	39	(	(	PUNCT
cana-6067	134	40	ftp	ftp	NOUN
cana-6067	134	41	)	)	PUNCT
cana-6067	134	42	by	by	ADP
cana-6067	134	43	balasundaram	balasundaram	PROPN
cana-6067	134	44	baranidhara	baranidhara	NOUN
cana-6067	134	45	and	and	CCONJ
cana-6067	134	46	ghanshaym	ghanshaym	PROPN
cana-6067	134	47	singha	singha	PROPN
cana-6067	134	48	mahapatra[16	mahapatra[16	PROPN
cana-6067	134	49	]	]	PUNCT
cana-6067	134	50	et	et	PROPN
cana-6067	134	51	al	al	PROPN
cana-6067	134	52	.	.	PROPN
cana-6067	134	53	,	,	PUNCT
cana-6067	134	54	but	but	CCONJ
cana-6067	134	55	in	in	ADP
cana-6067	134	56	a	a	DET
cana-6067	134	57	simple	simple	ADJ
cana-6067	134	58	and	and	CCONJ
cana-6067	134	59	understandable	understandable	ADJ
cana-6067	134	60	way	way	NOUN
cana-6067	134	61	,	,	PUNCT
cana-6067	134	62	the	the	DET
cana-6067	134	63	fuzzy	fuzzy	ADJ
cana-6067	134	64	approach	approach	NOUN
cana-6067	134	65	provides	provide	VERB
cana-6067	134	66	a	a	DET
cana-6067	134	67	minimum	minimum	ADJ
cana-6067	134	68	transportation	transportation	NOUN
cana-6067	134	69	cost	cost	NOUN
cana-6067	134	70	,	,	PUNCT
cana-6067	134	71	reflecting	reflect	VERB
cana-6067	134	72	its	its	PRON
cana-6067	134	73	ability	ability	NOUN
cana-6067	134	74	to	to	PART
cana-6067	134	75	account	account	VERB
cana-6067	134	76	for	for	ADP
cana-6067	134	77	uncertainties	uncertainty	NOUN
cana-6067	134	78	in	in	ADP
cana-6067	134	79	the	the	DET
cana-6067	134	80	cost	cost	NOUN
cana-6067	134	81	data	datum	NOUN
cana-6067	134	82	.	.	PUNCT
cana-6067	135	1	this	this	DET
cana-6067	135	2	validation	validation	NOUN
cana-6067	135	3	of	of	ADP
cana-6067	135	4	the	the	DET
cana-6067	135	5	effectiveness	effectiveness	NOUN
cana-6067	135	6	of	of	ADP
cana-6067	135	7	reuben	reuben	PROPN
cana-6067	135	8	’s	’s	PART
cana-6067	135	9	ranking	rank	VERB
cana-6067	135	10	function	function	NOUN
cana-6067	135	11	may	may	AUX
cana-6067	135	12	work	work	VERB
cana-6067	135	13	well	well	ADV
cana-6067	135	14	in	in	ADP
cana-6067	135	15	real	real	ADJ
cana-6067	135	16	life	life	NOUN
cana-6067	135	17	transportation	transportation	NOUN
cana-6067	135	18	scenarios	scenario	NOUN
cana-6067	135	19	where	where	SCONJ
cana-6067	135	20	costs	cost	NOUN
cana-6067	135	21	are	be	AUX
cana-6067	135	22	not	not	PART
cana-6067	135	23	always	always	ADV
cana-6067	135	24	precise	precise	ADJ
cana-6067	135	25	.	.	PUNCT
cana-6067	136	1	the	the	DET
cana-6067	136	2	standard	standard	PROPN
cana-6067	136	3	modi	modi	PROPN
cana-6067	136	4	method	method	NOUN
cana-6067	136	5	yielded	yield	VERB
cana-6067	136	6	a	a	DET
cana-6067	136	7	result	result	NOUN
cana-6067	136	8	of	of	ADP
cana-6067	136	9	1160	1160	NUM
cana-6067	136	10	,	,	PUNCT
cana-6067	136	11	but	but	CCONJ
cana-6067	136	12	optimal	optimal	ADJ
cana-6067	136	13	solution	solution	NOUN
cana-6067	136	14	was	be	AUX
cana-6067	136	15	obtained	obtain	VERB
cana-6067	136	16	by	by	ADP
cana-6067	136	17	applying	apply	VERB
cana-6067	136	18	reuben	reuben	PROPN
cana-6067	136	19	’s	’s	PART
cana-6067	136	20	ranking	rank	VERB
cana-6067	136	21	function	function	NOUN
cana-6067	136	22	method	method	NOUN
cana-6067	136	23	.	.	PUNCT
cana-6067	137	1	if	if	SCONJ
cana-6067	137	2	you	you	PRON
cana-6067	137	3	prefer	prefer	VERB
cana-6067	137	4	a	a	DET
cana-6067	137	5	rapid	rapid	ADJ
cana-6067	137	6	,	,	PUNCT
cana-6067	137	7	intuitive	intuitive	ADJ
cana-6067	137	8	method	method	NOUN
cana-6067	137	9	,	,	PUNCT
cana-6067	137	10	reuben	reuben	PROPN
cana-6067	137	11	’s	’s	PART
cana-6067	137	12	ranking	rank	VERB
cana-6067	137	13	function	function	NOUN
cana-6067	137	14	method	method	NOUN
cana-6067	137	15	might	might	AUX
cana-6067	137	16	be	be	AUX
cana-6067	137	17	a	a	DET
cana-6067	137	18	good	good	ADJ
cana-6067	137	19	fit	fit	NOUN
cana-6067	137	20	.	.	PUNCT
cana-6067	138	1	classical	classical	ADJ
cana-6067	138	2	modi	modi	PROPN
cana-6067	138	3	method	method	VERB
cana-6067	138	4	1160	1160	NUM
cana-6067	138	5	reuben	reuben	PROPN
cana-6067	138	6	’s	’s	PART
cana-6067	138	7	ranking	rank	VERB
cana-6067	138	8	modi	modi	PROPN
cana-6067	138	9	method	method	VERB
cana-6067	138	10	1120	1120	NUM
cana-6067	138	11	4	4	NUM
cana-6067	138	12	.	.	PUNCT
cana-6067	138	13	discussion	discussion	NOUN
cana-6067	138	14	we	we	PRON
cana-6067	138	15	present	present	VERB
cana-6067	138	16	new	new	ADJ
cana-6067	138	17	method	method	NOUN
cana-6067	138	18	in	in	ADP
cana-6067	138	19	this	this	DET
cana-6067	138	20	current	current	ADJ
cana-6067	138	21	paper	paper	NOUN
cana-6067	138	22	that	that	PRON
cana-6067	138	23	,	,	PUNCT
cana-6067	138	24	a	a	DET
cana-6067	138	25	new	new	ADJ
cana-6067	138	26	approach	approach	NOUN
cana-6067	138	27	is	be	AUX
cana-6067	138	28	presented	present	VERB
cana-6067	138	29	that	that	SCONJ
cana-6067	138	30	,	,	PUNCT
cana-6067	138	31	when	when	SCONJ
cana-6067	138	32	compared	compare	VERB
cana-6067	138	33	to	to	ADP
cana-6067	138	34	current	current	ADJ
cana-6067	138	35	approaches	approach	NOUN
cana-6067	138	36	,	,	PUNCT
cana-6067	138	37	maximizes	maximize	VERB
cana-6067	138	38	the	the	DET
cana-6067	138	39	minimum	minimum	ADJ
cana-6067	138	40	cost	cost	NOUN
cana-6067	138	41	.	.	PUNCT
cana-6067	139	1	inaccurate	inaccurate	ADJ
cana-6067	139	2	statistics	statistic	NOUN
cana-6067	139	3	are	be	AUX
cana-6067	139	4	used	use	VERB
cana-6067	139	5	to	to	PART
cana-6067	139	6	represent	represent	VERB
cana-6067	139	7	the	the	DET
cana-6067	139	8	transportation	transportation	NOUN
cana-6067	139	9	problem	problem	NOUN
cana-6067	139	10	in	in	ADP
cana-6067	139	11	the	the	DET
cana-6067	139	12	above	above	ADJ
cana-6067	139	13	method	method	NOUN
cana-6067	139	14	discussed	discuss	VERB
cana-6067	139	15	.	.	PUNCT
cana-6067	140	1	additionally	additionally	ADV
cana-6067	140	2	,	,	PUNCT
cana-6067	140	3	reuben	reuben	PROPN
cana-6067	140	4	’s	’s	PART
cana-6067	140	5	rankingwas	rankingwas	NOUN
cana-6067	140	6	applied	apply	VERB
cana-6067	140	7	to	to	PART
cana-6067	140	8	transform	transform	VERB
cana-6067	140	9	the	the	DET
cana-6067	140	10	fuzzy	fuzzy	ADJ
cana-6067	140	11	transportation	transportation	NOUN
cana-6067	140	12	problem	problem	NOUN
cana-6067	140	13	(	(	PUNCT
cana-6067	140	14	tp	tp	NOUN
cana-6067	140	15	)	)	PUNCT
cana-6067	140	16	into	into	ADP
cana-6067	140	17	precise	precise	ADJ
cana-6067	140	18	values	value	NOUN
cana-6067	140	19	,	,	PUNCT
cana-6067	140	20	and	and	CCONJ
cana-6067	140	21	a	a	DET
cana-6067	140	22	fuzzy	fuzzy	ADJ
cana-6067	140	23	version	version	NOUN
cana-6067	140	24	of	of	ADP
cana-6067	140	25	vogel	vogel	NOUN
cana-6067	140	26	's	's	PART
cana-6067	140	27	approximation	approximation	NOUN
cana-6067	140	28	method	method	NOUN
cana-6067	140	29	(	(	PUNCT
cana-6067	140	30	vam	vam	NOUN
cana-6067	140	31	)	)	PUNCT
cana-6067	140	32	wasapplied	wasapplie	VERB
cana-6067	140	33	to	to	PART
cana-6067	140	34	solve	solve	VERB
cana-6067	140	35	the	the	DET
cana-6067	140	36	initial	initial	ADJ
cana-6067	140	37	basic	basic	ADJ
cana-6067	140	38	feasible	feasible	ADJ
cana-6067	140	39	answer	answer	NOUN
cana-6067	140	40	,	,	PUNCT
cana-6067	140	41	as	as	ADV
cana-6067	140	42	well	well	ADV
cana-6067	140	43	as	as	ADP
cana-6067	140	44	an	an	DET
cana-6067	140	45	existing	exist	VERB
cana-6067	140	46	modi	modi	PROPN
cana-6067	140	47	approach	approach	NOUN
cana-6067	140	48	for	for	ADP
cana-6067	140	49	verifying	verify	VERB
cana-6067	140	50	the	the	DET
cana-6067	140	51	optimality	optimality	NOUN
cana-6067	140	52	of	of	ADP
cana-6067	140	53	basic	basic	ADJ
cana-6067	140	54	viable	viable	ADJ
cana-6067	140	55	solutions	solution	NOUN
cana-6067	140	56	that	that	PRON
cana-6067	140	57	do	do	AUX
cana-6067	140	58	not	not	PART
cana-6067	140	59	require	require	VERB
cana-6067	140	60	conversion	conversion	NOUN
cana-6067	140	61	to	to	ADP
cana-6067	140	62	classical	classical	ADJ
cana-6067	140	63	ones	one	NOUN
cana-6067	140	64	.	.	PUNCT
cana-6067	141	1	although	although	SCONJ
cana-6067	141	2	the	the	DET
cana-6067	141	3	figures	figure	NOUN
cana-6067	141	4	employed	employ	VERB
cana-6067	141	5	are	be	AUX
cana-6067	141	6	approximations	approximation	NOUN
cana-6067	141	7	,	,	PUNCT
cana-6067	141	8	the	the	DET
cana-6067	141	9	obtained	obtain	VERB
cana-6067	141	10	results	result	NOUN
cana-6067	141	11	are	be	AUX
cana-6067	141	12	much	much	ADV
cana-6067	141	13	more	more	ADV
cana-6067	141	14	accurate	accurate	ADJ
cana-6067	141	15	than	than	ADP
cana-6067	141	16	the	the	DET
cana-6067	141	17	previous	previous	ADJ
cana-6067	141	18	technique	technique	NOUN
cana-6067	141	19	.	.	PUNCT
cana-6067	142	1	destination	destination	NOUN
cana-6067	142	2	supply	supply	NOUN
cana-6067	142	3	source	source	NOUN
cana-6067	142	4	6	6	NUM
cana-6067	142	5	1	1	NUM
cana-6067	142	6	30	30	NUM
cana-6067	142	7	8.75	8.75	NUM
cana-6067	142	8	2.75	2.75	NUM
cana-6067	142	9	40	40	NUM
cana-6067	142	10	70	70	NUM
cana-6067	142	11	11	11	NUM
cana-6067	142	12	5	5	NUM
cana-6067	142	13	5	5	NUM
cana-6067	142	14	2	2	NUM
cana-6067	142	15	50	50	NUM
cana-6067	142	16	8	8	NUM
cana-6067	142	17	55	55	NUM
cana-6067	142	18	10	10	NUM
cana-6067	142	19	85	85	NUM
cana-6067	142	20	12	12	NUM
cana-6067	142	21	3.75	3.75	NUM
cana-6067	142	22	7	7	NUM
cana-6067	142	23	5	5	NUM
cana-6067	142	24	90	90	NUM
cana-6067	142	25	demand	demand	NOUN
cana-6067	142	26	85	85	NUM
cana-6067	142	27	35	35	NUM
cana-6067	142	28	50	50	NUM
cana-6067	142	29	45	45	NUM
cana-6067	142	30	215	215	NUM
cana-6067	142	31	communications	communication	NOUN
cana-6067	142	32	on	on	ADP
cana-6067	142	33	applied	apply	VERB
cana-6067	142	34	nonlinear	nonlinear	ADJ
cana-6067	142	35	analysis	analysis	NOUN
cana-6067	142	36	issn	issn	NOUN
cana-6067	142	37	:	:	PUNCT
cana-6067	142	38	1074	1074	NUM
cana-6067	142	39	-	-	PUNCT
cana-6067	142	40	133x	133x	NUM
cana-6067	142	41	vol	vol	VERB
cana-6067	142	42	32	32	NUM
cana-6067	142	43	no	no	NOUN
cana-6067	142	44	.	.	PUNCT
cana-6067	143	1	10s	10	NOUN
cana-6067	143	2	(	(	PUNCT
cana-6067	143	3	2025	2025	NUM
cana-6067	143	4	)	)	PUNCT
cana-6067	143	5	3287	3287	NUM
cana-6067	143	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6067	143	7	refrences	refrence	VERB
cana-6067	144	1	[	[	X
cana-6067	144	2	1	1	NUM
cana-6067	144	3	]	]	X
cana-6067	144	4	l.a	l.a	PROPN
cana-6067	144	5	zadeh”fuzzy	zadeh”fuzzy	PROPN
cana-6067	144	6	sets	set	NOUN
cana-6067	144	7	inform	inform	NOUN
cana-6067	144	8	,	,	PUNCT
cana-6067	144	9	”	"	PUNCT
cana-6067	144	10	control	control	NOUN
cana-6067	144	11	8(1965	8(1965	NUM
cana-6067	144	12	)	)	PUNCT
cana-6067	144	13	,	,	PUNCT
cana-6067	144	14	pp.338	pp.338	NOUN
cana-6067	144	15	-	-	PUNCT
cana-6067	144	16	353	353	NUM
cana-6067	144	17	.	.	PUNCT
cana-6067	145	1	[	[	X
cana-6067	145	2	2	2	NUM
cana-6067	145	3	]	]	X
cana-6067	145	4	r.e	r.e	PROPN
cana-6067	145	5	.	.	PROPN
cana-6067	145	6	bellman	bellman	PROPN
cana-6067	145	7	and	and	CCONJ
cana-6067	145	8	l.a	l.a	PROPN
cana-6067	145	9	zadeh	zadeh	PROPN
cana-6067	145	10	,	,	PUNCT
cana-6067	145	11	“	"	PUNCT
cana-6067	145	12	decision	decision	NOUN
cana-6067	145	13	making	making	NOUN
cana-6067	145	14	in	in	ADP
cana-6067	145	15	a	a	DET
cana-6067	145	16	fuzzy	fuzzy	ADJ
cana-6067	145	17	environment	environment	NOUN
cana-6067	145	18	,	,	PUNCT
cana-6067	145	19	”	"	PUNCT
cana-6067	145	20	management	management	NOUN
cana-6067	145	21	science	science	NOUN
cana-6067	145	22	17(1970	17(1970	NUM
cana-6067	145	23	)	)	PUNCT
cana-6067	145	24	,	,	PUNCT
cana-6067	145	25	pp.141	pp.141	NOUN
cana-6067	145	26	-	-	X
cana-6067	145	27	164	164	NUM
cana-6067	145	28	.	.	PUNCT
cana-6067	146	1	[	[	X
cana-6067	146	2	3	3	X
cana-6067	146	3	]	]	X
cana-6067	146	4	s.	s.	PROPN
cana-6067	146	5	chanas	chanas	PROPN
cana-6067	146	6	,	,	PUNCT
cana-6067	146	7	d.	d.	PROPN
cana-6067	146	8	kuchta	kuchta	PROPN
cana-6067	146	9	,	,	PUNCT
cana-6067	146	10	“	"	PUNCT
cana-6067	146	11	a	a	DET
cana-6067	146	12	concept	concept	NOUN
cana-6067	146	13	of	of	ADP
cana-6067	146	14	optimal	optimal	ADJ
cana-6067	146	15	solution	solution	NOUN
cana-6067	146	16	of	of	ADP
cana-6067	146	17	the	the	DET
cana-6067	146	18	transportation	transportation	NOUN
cana-6067	146	19	with	with	ADP
cana-6067	146	20	fuzzy	fuzzy	ADJ
cana-6067	146	21	cost	cost	NOUN
cana-6067	146	22	co	co	NOUN
cana-6067	146	23	efficient	efficient	ADJ
cana-6067	146	24	,	,	PUNCT
cana-6067	146	25	“	"	PUNCT
cana-6067	146	26	fuzzy	fuzzy	ADJ
cana-6067	146	27	sets	set	NOUN
cana-6067	146	28	and	and	CCONJ
cana-6067	146	29	systems	system	NOUN
cana-6067	146	30	,	,	PUNCT
cana-6067	146	31	82(9	82(9	NUM
cana-6067	146	32	)	)	PUNCT
cana-6067	146	33	(	(	PUNCT
cana-6067	146	34	1996	1996	NUM
cana-6067	146	35	)	)	PUNCT
cana-6067	146	36	,	,	PUNCT
cana-6067	146	37	pp.299	pp.299	NOUN
cana-6067	146	38	-	-	NOUN
cana-6067	146	39	305	305	NUM
cana-6067	146	40	.	.	PUNCT
cana-6067	147	1	[	[	X
cana-6067	147	2	4	4	NUM
cana-6067	147	3	]	]	X
cana-6067	147	4	s.t.liu	s.t.liu	PROPN
cana-6067	147	5	,	,	PUNCT
cana-6067	147	6	c.kao	c.kao	PROPN
cana-6067	147	7	,	,	PUNCT
cana-6067	147	8	“	"	PUNCT
cana-6067	147	9	solving	solve	VERB
cana-6067	147	10	fuzzy	fuzzy	ADJ
cana-6067	147	11	transportation	transportation	NOUN
cana-6067	147	12	problem	problem	NOUN
cana-6067	147	13	based	base	VERB
cana-6067	147	14	on	on	ADP
cana-6067	147	15	extension	extension	NOUN
cana-6067	147	16	principle	principle	NOUN
cana-6067	147	17	,	,	PUNCT
cana-6067	147	18	”	"	PUNCT
cana-6067	147	19	european	european	PROPN
cana-6067	147	20	journal	journal	PROPN
cana-6067	147	21	if	if	SCONJ
cana-6067	147	22	operation	operation	NOUN
cana-6067	147	23	research,153(2006),pp.661	research,153(2006),pp.661	PROPN
cana-6067	147	24	-	-	PUNCT
cana-6067	147	25	674	674	NUM
cana-6067	147	26	.	.	PUNCT
cana-6067	148	1	[	[	X
cana-6067	148	2	5	5	X
cana-6067	148	3	]	]	PUNCT
cana-6067	148	4	s.	s.	PROPN
cana-6067	148	5	chanas	chanas	PROPN
cana-6067	148	6	,	,	PUNCT
cana-6067	148	7	m.	m.	NOUN
cana-6067	148	8	delgado	delgado	PROPN
cana-6067	148	9	,	,	PUNCT
cana-6067	148	10	j.l	j.l	PROPN
cana-6067	148	11	.	.	PROPN
cana-6067	148	12	verdegayand	verdegayand	NOUN
cana-6067	148	13	,	,	PUNCT
cana-6067	148	14	m.	m.	NOUN
cana-6067	148	15	a.	a.	PROPN
cana-6067	148	16	vila	vila	PROPN
cana-6067	148	17	,	,	PUNCT
cana-6067	148	18	“	"	PUNCT
cana-6067	148	19	interval	interval	NOUN
cana-6067	148	20	and	and	CCONJ
cana-6067	148	21	fuzzy	fuzzy	ADJ
cana-6067	148	22	extensions	extension	NOUN
cana-6067	148	23	of	of	ADP
cana-6067	148	24	classical	classical	ADJ
cana-6067	148	25	transportation	transportation	NOUN
cana-6067	148	26	problems	problem	NOUN
cana-6067	148	27	,	,	PUNCT
cana-6067	148	28	”	"	PUNCT
cana-6067	148	29	transpplann	transpplann	NOUN
cana-6067	148	30	technol	technol	NOUN
cana-6067	148	31	.	.	PROPN
cana-6067	148	32	,	,	PUNCT
cana-6067	148	33	17(1993	17(1993	NUM
cana-6067	148	34	)	)	PUNCT
cana-6067	148	35	,	,	PUNCT
cana-6067	148	36	pp.203	pp.203	PROPN
cana-6067	148	37	-	-	PUNCT
cana-6067	148	38	218	218	NUM
cana-6067	148	39	.	.	PUNCT
cana-6067	149	1	[	[	X
cana-6067	149	2	6	6	NUM
cana-6067	149	3	]	]	SYM
cana-6067	149	4	p.pandian	p.pandian	ADJ
cana-6067	149	5	,	,	PUNCT
cana-6067	149	6	and	and	CCONJ
cana-6067	149	7	g.nagarajan	g.nagarajan	NOUN
cana-6067	149	8	,	,	PUNCT
cana-6067	149	9	“	"	PUNCT
cana-6067	149	10	a	a	DET
cana-6067	149	11	new	new	ADJ
cana-6067	149	12	algorithm	algorithm	NOUN
cana-6067	149	13	for	for	ADP
cana-6067	149	14	finding	find	VERB
cana-6067	149	15	a	a	DET
cana-6067	149	16	fuzzy	fuzzy	ADJ
cana-6067	149	17	optimal	optimal	ADJ
cana-6067	149	18	solution	solution	NOUN
cana-6067	149	19	for	for	ADP
cana-6067	149	20	fuzzy	fuzzy	ADJ
cana-6067	149	21	transportation	transportation	NOUN
cana-6067	149	22	problem	problem	NOUN
cana-6067	149	23	,	,	PUNCT
cana-6067	149	24	“	"	PUNCT
cana-6067	149	25	applied	apply	VERB
cana-6067	149	26	mathematics	mathematics	NOUN
cana-6067	149	27	sciences	science	NOUN
cana-6067	149	28	,	,	PUNCT
cana-6067	149	29	4(2	4(2	NUM
cana-6067	149	30	)	)	PUNCT
cana-6067	149	31	(	(	PUNCT
cana-6067	149	32	2010	2010	NUM
cana-6067	149	33	)	)	PUNCT
cana-6067	149	34	,	,	PUNCT
cana-6067	149	35	pp.79	pp.79	NOUN
cana-6067	149	36	-	-	PUNCT
cana-6067	149	37	90	90	NUM
cana-6067	149	38	.	.	PUNCT
cana-6067	150	1	[	[	X
cana-6067	150	2	7	7	X
cana-6067	150	3	]	]	SYM
cana-6067	150	4	t.anithakumari	t.anithakumari	NOUN
cana-6067	150	5	,	,	PUNCT
cana-6067	150	6	b.venkateswarlu	b.venkateswarlu	NOUN
cana-6067	150	7	,	,	PUNCT
cana-6067	150	8	a.satyanarayana	a.satyanarayana	PRON
cana-6067	150	9	murthy	murthy	ADJ
cana-6067	150	10	,	,	PUNCT
cana-6067	150	11	”	"	PUNCT
cana-6067	150	12	fuzzy	fuzzy	ADJ
cana-6067	150	13	transportation	transportation	NOUN
cana-6067	150	14	problems	problem	NOUN
cana-6067	150	15	with	with	ADP
cana-6067	150	16	new	new	ADJ
cana-6067	150	17	kind	kind	NOUN
cana-6067	150	18	of	of	ADP
cana-6067	150	19	ranking	ranking	ADJ
cana-6067	150	20	function	function	NOUN
cana-6067	150	21	,	,	PUNCT
cana-6067	150	22	”	"	PUNCT
cana-6067	150	23	the	the	DET
cana-6067	150	24	international	international	ADJ
cana-6067	150	25	journal	journal	NOUN
cana-6067	150	26	of	of	ADP
cana-6067	150	27	engineering	engineering	NOUN
cana-6067	150	28	and	and	CCONJ
cana-6067	150	29	science	science	NOUN
cana-6067	150	30	,	,	PUNCT
cana-6067	150	31	6(2017	6(2017	NUM
cana-6067	150	32	)	)	PUNCT
cana-6067	150	33	,	,	PUNCT
cana-6067	150	34	pp.15	pp.15	PROPN
cana-6067	150	35	-	-	PROPN
cana-6067	150	36	19	19	NUM
cana-6067	150	37	.	.	PUNCT
cana-6067	151	1	[	[	X
cana-6067	151	2	8	8	NUM
cana-6067	151	3	]	]	PUNCT
cana-6067	151	4	a.	a.	NOUN
cana-6067	151	5	nagoorgani	nagoorgani	PROPN
cana-6067	151	6	,	,	PUNCT
cana-6067	151	7	k.	k.	PROPN
cana-6067	151	8	a.	a.	PROPN
cana-6067	151	9	razak	razak	PROPN
cana-6067	151	10	,	,	PUNCT
cana-6067	151	11	“	"	PUNCT
cana-6067	151	12	two	two	NUM
cana-6067	151	13	stage	stage	NOUN
cana-6067	151	14	fuzzy	fuzzy	ADJ
cana-6067	151	15	transportation	transportation	NOUN
cana-6067	151	16	problem	problem	NOUN
cana-6067	151	17	,	,	PUNCT
cana-6067	151	18	”	"	PUNCT
cana-6067	151	19	journal	journal	NOUN
cana-6067	151	20	of	of	ADP
cana-6067	151	21	physical	physical	ADJ
cana-6067	151	22	sciences	science	NOUN
cana-6067	151	23	,	,	PUNCT
cana-6067	151	24	10	10	NUM
cana-6067	151	25	(	(	PUNCT
cana-6067	151	26	2006	2006	NUM
cana-6067	151	27	)	)	PUNCT
cana-6067	151	28	,	,	PUNCT
cana-6067	151	29	pp.63–69	pp.63–69	NOUN
cana-6067	151	30	.	.	PUNCT
cana-6067	152	1	[	[	X
cana-6067	152	2	9	9	NUM
cana-6067	152	3	]	]	X
cana-6067	152	4	i.h.zimmermann,”fuzzy	i.h.zimmermann,”fuzzy	ADJ
cana-6067	152	5	programming	programming	NOUN
cana-6067	152	6	and	and	CCONJ
cana-6067	152	7	linear	linear	PROPN
cana-6067	152	8	programming	programming	NOUN
cana-6067	152	9	with	with	ADP
cana-6067	152	10	several	several	ADJ
cana-6067	152	11	objective	objective	ADJ
cana-6067	152	12	functions	function	NOUN
cana-6067	152	13	,	,	PUNCT
cana-6067	152	14	”	"	PUNCT
cana-6067	152	15	fuzzy	fuzzy	ADJ
cana-6067	152	16	sets	set	VERB
cana-6067	152	17	syst	syst	PROPN
cana-6067	152	18	.	.	PUNCT
cana-6067	152	19	,	,	PUNCT
cana-6067	152	20	1(1978	1(1978	NUM
cana-6067	152	21	)	)	PUNCT
cana-6067	152	22	,	,	PUNCT
cana-6067	152	23	45	45	NUM
cana-6067	152	24	-	-	SYM
cana-6067	152	25	55	55	NUM
cana-6067	152	26	.	.	PUNCT
cana-6067	153	1	[	[	X
cana-6067	153	2	10	10	NUM
cana-6067	153	3	]	]	X
cana-6067	153	4	c.	c.	PROPN
cana-6067	153	5	muralidaran	muralidaran	PROPN
cana-6067	153	6	and	and	CCONJ
cana-6067	153	7	b.	b.	PROPN
cana-6067	153	8	venkateswarlu	venkateswarlu	NOUN
cana-6067	153	9	,	,	PUNCT
cana-6067	153	10	“	"	PUNCT
cana-6067	153	11	generalized	generalize	VERB
cana-6067	153	12	ranking	ranking	NOUN
cana-6067	153	13	function	function	NOUN
cana-6067	153	14	for	for	ADP
cana-6067	153	15	all	all	DET
cana-6067	153	16	symmetric	symmetric	ADJ
cana-6067	153	17	fuzzy	fuzzy	ADJ
cana-6067	153	18	linear	linear	ADJ
cana-6067	153	19	programming	programming	NOUN
cana-6067	153	20	problems	problem	NOUN
cana-6067	153	21	,	,	PUNCT
cana-6067	153	22	”	"	PUNCT
cana-6067	153	23	journal	journal	NOUN
cana-6067	153	24	of	of	ADP
cana-6067	153	25	intelligent	intelligent	ADJ
cana-6067	153	26	&	&	CCONJ
cana-6067	153	27	fuzzy	fuzzy	ADJ
cana-6067	153	28	systems	system	NOUN
cana-6067	153	29	35(1	35(1	NUM
cana-6067	153	30	)	)	PUNCT
cana-6067	153	31	(	(	PUNCT
cana-6067	153	32	2018	2018	NUM
cana-6067	153	33	)	)	PUNCT
cana-6067	153	34	,	,	PUNCT
cana-6067	153	35	pp.1127	pp.1127	PROPN
cana-6067	153	36	–	–	PUNCT
cana-6067	153	37	1131	1131	NUM
cana-6067	153	38	.	.	PUNCT
cana-6067	154	1	[	[	X
cana-6067	154	2	11]a.kumar	11]a.kumar	NUM
cana-6067	154	3	,	,	PUNCT
cana-6067	154	4	a.	a.	NOUN
cana-6067	154	5	kaur	kaur	PROPN
cana-6067	154	6	,	,	PUNCT
cana-6067	154	7	and	and	CCONJ
cana-6067	154	8	a.	a.	NOUN
cana-6067	154	9	gupta	gupta	PROPN
cana-6067	154	10	,	,	PUNCT
cana-6067	154	11	“	"	PUNCT
cana-6067	154	12	fuzzy	fuzzy	ADJ
cana-6067	154	13	linear	linear	ADJ
cana-6067	154	14	programming	programming	NOUN
cana-6067	154	15	approach	approach	NOUN
cana-6067	154	16	for	for	ADP
cana-6067	154	17	solving	solve	VERB
cana-6067	154	18	fuzzy	fuzzy	ADJ
cana-6067	154	19	transportation	transportation	NOUN
cana-6067	154	20	problems	problem	NOUN
cana-6067	154	21	with	with	ADP
cana-6067	154	22	transshipment	transshipment	NOUN
cana-6067	154	23	,	,	PUNCT
cana-6067	154	24	”	"	PUNCT
cana-6067	154	25	journal	journal	NOUN
cana-6067	154	26	of	of	ADP
cana-6067	154	27	mathematical	mathematical	ADJ
cana-6067	154	28	modeling	modeling	NOUN
cana-6067	154	29	algorithms	algorithm	NOUN
cana-6067	154	30	,	,	PUNCT
cana-6067	154	31	10(1),(2011a	10(1),(2011a	NUM
cana-6067	154	32	)	)	PUNCT
cana-6067	154	33	,	,	PUNCT
cana-6067	154	34	pp.163–180	pp.163–180	PROPN
cana-6067	154	35	.	.	PUNCT
cana-6067	155	1	[	[	X
cana-6067	155	2	12]p.pandian	12]p.pandian	NUM
cana-6067	155	3	,	,	PUNCT
cana-6067	155	4	and	and	CCONJ
cana-6067	155	5	g.nagarajan	g.nagarajan	VERB
cana-6067	155	6	“	"	PUNCT
cana-6067	155	7	a	a	DET
cana-6067	155	8	new	new	ADJ
cana-6067	155	9	method	method	NOUN
cana-6067	155	10	for	for	ADP
cana-6067	155	11	finding	find	VERB
cana-6067	155	12	an	an	DET
cana-6067	155	13	optimal	optimal	ADJ
cana-6067	155	14	solution	solution	NOUN
cana-6067	155	15	of	of	ADP
cana-6067	155	16	fully	fully	ADV
cana-6067	155	17	interval	interval	NOUN
cana-6067	155	18	integer	integer	NOUN
cana-6067	155	19	transportation	transportation	NOUN
cana-6067	155	20	problems	problem	NOUN
cana-6067	155	21	,	,	PUNCT
cana-6067	155	22	”	"	PUNCT
cana-6067	155	23	applied	apply	VERB
cana-6067	155	24	mathematical	mathematical	ADJ
cana-6067	155	25	sciences	science	NOUN
cana-6067	155	26	,	,	PUNCT
cana-6067	155	27	4(37	4(37	NUM
cana-6067	155	28	)	)	PUNCT
cana-6067	155	29	(	(	PUNCT
cana-6067	155	30	2010b),pp.1819–1830	2010b),pp.1819–1830	NOUN
cana-6067	155	31	.	.	PUNCT
cana-6067	156	1	[	[	X
cana-6067	156	2	13]a	13]a	NUM
cana-6067	156	3	.	.	PUNCT
cana-6067	157	1	kaur	kaur	PROPN
cana-6067	157	2	and	and	CCONJ
cana-6067	157	3	a.	a.	PROPN
cana-6067	157	4	kumar	kumar	PROPN
cana-6067	157	5	,	,	PUNCT
cana-6067	157	6	”	"	PUNCT
cana-6067	157	7	a	a	DET
cana-6067	157	8	new	new	ADJ
cana-6067	157	9	approach	approach	NOUN
cana-6067	157	10	for	for	ADP
cana-6067	157	11	solving	solve	VERB
cana-6067	157	12	fuzzy	fuzzy	ADJ
cana-6067	157	13	transportation	transportation	NOUN
cana-6067	157	14	problems	problem	NOUN
cana-6067	157	15	using	use	VERB
cana-6067	157	16	generalized	generalized	ADJ
cana-6067	157	17	trapezoidal	trapezoidal	ADJ
cana-6067	157	18	fuzzy	fuzzy	ADJ
cana-6067	157	19	numbers	number	NOUN
cana-6067	157	20	,	,	PUNCT
cana-6067	157	21	”	"	PUNCT
cana-6067	157	22	appl	appl	NOUN
cana-6067	157	23	soft	soft	ADJ
cana-6067	157	24	comput	comput	NOUN
cana-6067	157	25	.	.	PUNCT
cana-6067	157	26	,	,	PUNCT
cana-6067	157	27	12(2012	12(2012	NUM
cana-6067	157	28	)	)	PUNCT
cana-6067	157	29	,	,	PUNCT
cana-6067	157	30	1201	1201	NUM
cana-6067	157	31	-	-	SYM
cana-6067	157	32	1213	1213	NUM
cana-6067	157	33	.	.	PUNCT
cana-6067	158	1	communications	communication	NOUN
cana-6067	158	2	on	on	ADP
cana-6067	158	3	applied	apply	VERB
cana-6067	158	4	nonlinear	nonlinear	ADJ
cana-6067	158	5	analysis	analysis	NOUN
cana-6067	158	6	issn	issn	NOUN
cana-6067	158	7	:	:	PUNCT
cana-6067	158	8	1074	1074	NUM
cana-6067	158	9	-	-	PUNCT
cana-6067	158	10	133x	133x	NUM
cana-6067	158	11	vol	vol	VERB
cana-6067	158	12	32	32	NUM
cana-6067	158	13	no	no	NOUN
cana-6067	158	14	.	.	PUNCT
cana-6067	159	1	10s	10	NOUN
cana-6067	159	2	(	(	PUNCT
cana-6067	159	3	2025	2025	NUM
cana-6067	159	4	)	)	PUNCT
cana-6067	159	5	3288	3288	NUM
cana-6067	159	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6067	160	1	[	[	X
cana-6067	160	2	14	14	NUM
cana-6067	160	3	]	]	X
cana-6067	160	4	mohamed	mohamed	PROPN
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cana-6067	160	7	“	"	PUNCT
cana-6067	160	8	fuzzy	fuzzy	ADJ
cana-6067	160	9	assignment	assignment	NOUN
cana-6067	160	10	problems	problem	NOUN
cana-6067	160	11	,	,	PUNCT
cana-6067	160	12	”	"	PUNCT
cana-6067	160	13	journal	journal	NOUN
cana-6067	160	14	of	of	ADP
cana-6067	160	15	science.10	science.10	ADJ
cana-6067	160	16	(	(	PUNCT
cana-6067	160	17	2020	2020	NUM
cana-6067	160	18	)	)	PUNCT
cana-6067	160	19	,	,	PUNCT
cana-6067	160	20	pp.40	pp.40	NOUN
cana-6067	160	21	-	-	PUNCT
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cana-6067	161	1	[	[	X
cana-6067	161	2	15	15	NUM
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cana-6067	161	12	kailash	kailash	PROPN
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cana-6067	161	25	bottleneck	bottleneck	NOUN
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cana-6067	161	38	“	"	PUNCT
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cana-6067	161	44	,	,	PUNCT
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cana-6067	162	8	,	,	PUNCT
cana-6067	162	9	”	"	PUNCT
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cana-6067	162	12	solution	solution	NOUN
cana-6067	162	13	technique	technique	NOUN
cana-6067	162	14	for	for	ADP
cana-6067	162	15	fuzzy	fuzzy	ADJ
cana-6067	162	16	transportation	transportation	NOUN
cana-6067	162	17	problem	problem	NOUN
cana-6067	162	18	using	use	VERB
cana-6067	162	19	novel	novel	NOUN
cana-6067	162	20	ranking	ranking	NOUN
cana-6067	162	21	functions	function	NOUN
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cana-6067	162	30	cognitive	cognitive	ADJ
cana-6067	162	31	engineering	engineering	NOUN
cana-6067	162	32	,	,	PUNCT
cana-6067	162	33	00(00)(2024	00(00)(2024	NUM
cana-6067	162	34	)	)	PUNCT
cana-6067	162	35	,	,	PUNCT
cana-6067	162	36	pp.1–16	pp.1–16	NOUN
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cana-6067	163	2	17	17	NUM
cana-6067	163	3	]	]	PUNCT
cana-6067	163	4	ekata	ekata	NOUN
cana-6067	163	5	jain	jain	PROPN
cana-6067	163	6	,	,	PUNCT
cana-6067	163	7	jayesh	jayesh	PROPN
cana-6067	163	8	m.	m.	PROPN
cana-6067	163	9	dhodiya	dhodiya	PROPN
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cana-6067	163	11	“	"	PUNCT
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cana-6067	163	14	-	-	ADJ
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cana-6067	163	16	multi	multi	ADJ
cana-6067	163	17	-	-	ADJ
cana-6067	163	18	item	item	ADJ
cana-6067	163	19	five	five	NUM
cana-6067	163	20	dimensional	dimensional	ADJ
cana-6067	163	21	transportation	transportation	NOUN
cana-6067	163	22	problem	problem	NOUN
cana-6067	163	23	:	:	PUNCT
cana-6067	163	24	a	a	DET
cana-6067	163	25	case	case	NOUN
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cana-6067	163	29	transportation	transportation	NOUN
cana-6067	163	30	problem	problem	NOUN
cana-6067	163	31	,	,	PUNCT
cana-6067	163	32	”	"	PUNCT
cana-6067	163	33	applied	apply	VERB
cana-6067	163	34	soft	soft	ADJ
cana-6067	163	35	computing	computing	NOUN
cana-6067	163	36	,	,	PUNCT
cana-6067	163	37	178(2025	178(2025	NUM
cana-6067	163	38	)	)	PUNCT
cana-6067	163	39	,	,	PUNCT
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cana-6067	163	41	-	-	ADJ
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cana-6067	164	2	18	18	NUM
cana-6067	164	3	]	]	X
cana-6067	164	4	nilima	nilima	PROPN
cana-6067	164	5	akhtar	akhtar	PROPN
cana-6067	164	6	,	,	PUNCT
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cana-6067	164	9	”	"	PUNCT
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cana-6067	164	12	fractional	fractional	PROPN
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cana-6067	164	14	problem	problem	NOUN
cana-6067	164	15	in	in	ADP
cana-6067	164	16	bipolar	bipolar	ADJ
cana-6067	164	17	fuzzy	fuzzy	ADJ
cana-6067	164	18	environment	environment	NOUN
cana-6067	164	19	,	,	PUNCT
cana-6067	164	20	”	"	PUNCT
cana-6067	164	21	results	result	NOUN
cana-6067	164	22	in	in	ADP
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cana-6067	164	28	)	)	PUNCT
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cana-6067	164	32	100482	100482	NUM
cana-6067	164	33	.	.	PUNCT
cana-6067	165	1	https://www.sciencedirect.com/journal/alexandria-engineering-journal	https://www.sciencedirect.com/journal/alexandria-engineering-journal	PROPN
cana-6067	165	2	https://www.sciencedirect.com/journal/applied-soft-computing	https://www.sciencedirect.com/journal/applied-soft-compute	VERB
cana-6067	165	3	https://www.sciencedirect.com/journal/applied-soft-computing/vol/178/suppl/c	https://www.sciencedirect.com/journal/applied-soft-computing/vol/178/suppl/c	PROPN
cana-6067	165	4	https://www.sciencedirect.com/journal/applied-soft-computing/vol/178/suppl/c	https://www.sciencedirect.com/journal/applied-soft-computing/vol/178/suppl/c	PROPN
cana-6067	165	5	https://www.sciencedirect.com/journal/results-in-control-and-optimization	https://www.sciencedirect.com/journal/results-in-control-and-optimization	PROPN