id	sid	tid	token	lemma	pos
cana-3484	1	1	communications	communication	NOUN
cana-3484	1	2	on	on	ADP
cana-3484	1	3	applied	apply	VERB
cana-3484	1	4	nonlinear	nonlinear	ADJ
cana-3484	1	5	analysis	analysis	NOUN
cana-3484	1	6	issn	issn	NOUN
cana-3484	1	7	:	:	PUNCT
cana-3484	1	8	1074	1074	NUM
cana-3484	1	9	-	-	PUNCT
cana-3484	1	10	133x	133x	NUM
cana-3484	1	11	vol	vol	NOUN
cana-3484	1	12	32	32	NUM
cana-3484	1	13	no	no	NOUN
cana-3484	1	14	.	.	PUNCT
cana-3484	2	1	7s	7	NOUN
cana-3484	2	2	(	(	PUNCT
cana-3484	2	3	2025	2025	NUM
cana-3484	2	4	)	)	PUNCT
cana-3484	2	5	765	765	NUM
cana-3484	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	2	7	a	a	DET
cana-3484	2	8	simplified	simplified	ADJ
cana-3484	2	9	approach	approach	NOUN
cana-3484	2	10	to	to	ADP
cana-3484	2	11	solving	solve	VERB
cana-3484	2	12	balanced	balanced	ADJ
cana-3484	2	13	generalized	generalized	ADJ
cana-3484	2	14	quadratic	quadratic	ADJ
cana-3484	2	15	fuzzy	fuzzy	ADJ
cana-3484	2	16	transportation	transportation	NOUN
cana-3484	2	17	problems	problem	NOUN
cana-3484	2	18	m.venkatachalapathy1	m.venkatachalapathy1	PRON
cana-3484	2	19	,	,	PUNCT
cana-3484	2	20	k.abdul	k.abdul	ADJ
cana-3484	2	21	razak2	razak2	NOUN
cana-3484	2	22	,	,	PUNCT
cana-3484	2	23	m.ayyappan3	m.ayyappan3	NOUN
cana-3484	2	24	,	,	PUNCT
cana-3484	2	25	v.s.mathu	v.s.mathu	PROPN
cana-3484	2	26	suresh4	suresh4	PROPN
cana-3484	2	27	,	,	PUNCT
cana-3484	2	28	s.n.subhathra5	s.n.subhathra5	PROPN
cana-3484	2	29	and	and	CCONJ
cana-3484	2	30	b.usha6	b.usha6	PROPN
cana-3484	2	31	1	1	NUM
cana-3484	2	32	school	school	NOUN
cana-3484	2	33	of	of	ADP
cana-3484	2	34	sciences	science	NOUN
cana-3484	2	35	,	,	PUNCT
cana-3484	2	36	division	division	NOUN
cana-3484	2	37	of	of	ADP
cana-3484	2	38	mathematics	mathematic	NOUN
cana-3484	2	39	,	,	PUNCT
cana-3484	2	40	srm	srm	PROPN
cana-3484	2	41	institute	institute	PROPN
cana-3484	2	42	of	of	ADP
cana-3484	2	43	science	science	NOUN
cana-3484	2	44	and	and	CCONJ
cana-3484	2	45	technology	technology	NOUN
cana-3484	2	46	,	,	PUNCT
cana-3484	2	47	tiruchirappalli	tiruchirappalli	PROPN
cana-3484	2	48	campus	campus	PROPN
cana-3484	2	49	,	,	PUNCT
cana-3484	2	50	srm	srm	NOUN
cana-3484	2	51	nagar	nagar	NOUN
cana-3484	2	52	,	,	PUNCT
cana-3484	2	53	irungalur	irungalur	NOUN
cana-3484	2	54	,	,	PUNCT
cana-3484	2	55	trichirappalli	trichirappalli	PROPN
cana-3484	2	56	,	,	PUNCT
cana-3484	2	57	tamil	tamil	PROPN
cana-3484	2	58	nadu	nadu	NOUN
cana-3484	2	59	,	,	PUNCT
cana-3484	2	60	india-621105	india-621105	PROPN
cana-3484	2	61	2department	2department	NUM
cana-3484	2	62	of	of	ADP
cana-3484	2	63	mathematics	mathematic	NOUN
cana-3484	2	64	,	,	PUNCT
cana-3484	2	65	k.ramakrishnan	k.ramakrishnan	ADP
cana-3484	2	66	college	college	NOUN
cana-3484	2	67	of	of	ADP
cana-3484	2	68	engineering	engineering	NOUN
cana-3484	2	69	(	(	PUNCT
cana-3484	2	70	autonomous),samayapuram	autonomous),samayapuram	PROPN
cana-3484	2	71	,	,	PUNCT
cana-3484	2	72	tiruchirappalli	tiruchirappalli	PROPN
cana-3484	2	73	,	,	PUNCT
cana-3484	2	74	tamil	tamil	PROPN
cana-3484	2	75	nadu	nadu	NOUN
cana-3484	2	76	,	,	PUNCT
cana-3484	2	77	india-621112	india-621112	ADJ
cana-3484	2	78	3department	3department	NUM
cana-3484	2	79	of	of	ADP
cana-3484	2	80	mathematics	mathematic	NOUN
cana-3484	2	81	,	,	PUNCT
cana-3484	2	82	francis	francis	PROPN
cana-3484	2	83	xavier	xavier	PROPN
cana-3484	2	84	engineering	engineering	PROPN
cana-3484	2	85	college	college	PROPN
cana-3484	2	86	(	(	PUNCT
cana-3484	2	87	autonomous	autonomous	ADJ
cana-3484	2	88	)	)	PUNCT
cana-3484	2	89	,	,	PUNCT
cana-3484	2	90	tirunelveli	tirunelveli	PROPN
cana-3484	2	91	,	,	PUNCT
cana-3484	2	92	tamil	tamil	PROPN
cana-3484	2	93	nadu	nadu	PROPN
cana-3484	2	94	,	,	PUNCT
cana-3484	2	95	india-627003	india-627003	ADJ
cana-3484	2	96	4department	4department	NUM
cana-3484	2	97	of	of	ADP
cana-3484	2	98	mathematics	mathematic	NOUN
cana-3484	2	99	,	,	PUNCT
cana-3484	2	100	rohini	rohini	PROPN
cana-3484	2	101	college	college	NOUN
cana-3484	2	102	of	of	ADP
cana-3484	2	103	engineering	engineering	NOUN
cana-3484	2	104	and	and	CCONJ
cana-3484	2	105	technology	technology	NOUN
cana-3484	2	106	,	,	PUNCT
cana-3484	2	107	palkulam	palkulam	PROPN
cana-3484	2	108	,	,	PUNCT
cana-3484	2	109	kanyakumari	kanyakumari	PROPN
cana-3484	2	110	,	,	PUNCT
cana-3484	2	111	tamil	tamil	PROPN
cana-3484	2	112	nadu	nadu	NOUN
cana-3484	2	113	,	,	PUNCT
cana-3484	2	114	india-629401	india-629401	VERB
cana-3484	2	115	5department	5department	NUM
cana-3484	2	116	of	of	ADP
cana-3484	2	117	mathematics	mathematic	NOUN
cana-3484	2	118	,	,	PUNCT
cana-3484	2	119	excel	excel	VERB
cana-3484	2	120	engineering	engineering	NOUN
cana-3484	2	121	college	college	PROPN
cana-3484	2	122	(	(	PUNCT
cana-3484	2	123	autonomous	autonomous	ADJ
cana-3484	2	124	)	)	PUNCT
cana-3484	2	125	,	,	PUNCT
cana-3484	2	126	komarapalayam-637	komarapalayam-637	NOUN
cana-3484	2	127	303	303	NUM
cana-3484	2	128	,	,	PUNCT
cana-3484	2	129	tamil	tamil	PROPN
cana-3484	2	130	nadu	nadu	PROPN
cana-3484	2	131	,	,	PUNCT
cana-3484	2	132	india	india	PROPN
cana-3484	2	133	6department	6department	NUM
cana-3484	2	134	of	of	ADP
cana-3484	2	135	mathematics	mathematic	NOUN
cana-3484	2	136	,	,	PUNCT
cana-3484	2	137	kongu	kongu	VERB
cana-3484	2	138	engineering	engineering	NOUN
cana-3484	2	139	college	college	PROPN
cana-3484	2	140	,	,	PUNCT
cana-3484	2	141	perundurai-638	perundurai-638	NOUN
cana-3484	2	142	060	060	NUM
cana-3484	2	143	,	,	PUNCT
cana-3484	2	144	tamil	tamil	PROPN
cana-3484	2	145	nadu	nadu	PROPN
cana-3484	2	146	,	,	PUNCT
cana-3484	2	147	india	india	PROPN
cana-3484	2	148	venkatachalapathymaths@gmail.com,arrazak76@gmail.com,ayyappanmath72@gmail.com	venkatachalapathymaths@gmail.com,arrazak76@gmail.com,ayyappanmath72@gmail.com	PROPN
cana-3484	2	149	,	,	PUNCT
cana-3484	2	150	sreeuthrad@gmail.com,subhathrasn.eec@excelcolleges.com,usha_b.sh@kongu.edu	sreeuthrad@gmail.com,subhathrasn.eec@excelcolleges.com,usha_b.sh@kongu.edu	VERB
cana-3484	2	151	article	article	NOUN
cana-3484	2	152	history	history	NOUN
cana-3484	2	153	:	:	PUNCT
cana-3484	2	154	received	receive	VERB
cana-3484	2	155	:	:	PUNCT
cana-3484	2	156	28	28	NUM
cana-3484	2	157	-	-	SYM
cana-3484	2	158	10	10	NUM
cana-3484	2	159	-	-	PUNCT
cana-3484	2	160	2024	2024	NUM
cana-3484	2	161	revised:12	revised:12	NOUN
cana-3484	2	162	-	-	PUNCT
cana-3484	2	163	11	11	NUM
cana-3484	2	164	-	-	PUNCT
cana-3484	2	165	2024	2024	NUM
cana-3484	2	166	accepted:19	accepted:19	VERB
cana-3484	2	167	-	-	PUNCT
cana-3484	2	168	12	12	NUM
cana-3484	2	169	-	-	PUNCT
cana-3484	2	170	2024	2024	NUM
cana-3484	2	171	abstract	abstract	NOUN
cana-3484	2	172	:	:	PUNCT
cana-3484	2	173	the	the	DET
cana-3484	2	174	transportation	transportation	NOUN
cana-3484	2	175	model	model	NOUN
cana-3484	2	176	is	be	AUX
cana-3484	2	177	a	a	DET
cana-3484	2	178	specialized	specialized	ADJ
cana-3484	2	179	linear	linear	ADJ
cana-3484	2	180	programming	programming	NOUN
cana-3484	2	181	problem	problem	NOUN
cana-3484	2	182	aimed	aim	VERB
cana-3484	2	183	at	at	ADP
cana-3484	2	184	optimizing	optimize	VERB
cana-3484	2	185	the	the	DET
cana-3484	2	186	shipment	shipment	NOUN
cana-3484	2	187	of	of	ADP
cana-3484	2	188	goods	good	NOUN
cana-3484	2	189	from	from	ADP
cana-3484	2	190	several	several	ADJ
cana-3484	2	191	sources	source	NOUN
cana-3484	2	192	to	to	ADP
cana-3484	2	193	different	different	ADJ
cana-3484	2	194	locations	location	NOUN
cana-3484	2	195	.	.	PUNCT
cana-3484	3	1	the	the	DET
cana-3484	3	2	primary	primary	ADJ
cana-3484	3	3	objective	objective	NOUN
cana-3484	3	4	is	be	AUX
cana-3484	3	5	to	to	PART
cana-3484	3	6	minimize	minimize	VERB
cana-3484	3	7	total	total	ADJ
cana-3484	3	8	transportation	transportation	NOUN
cana-3484	3	9	costs	cost	NOUN
cana-3484	3	10	while	while	SCONJ
cana-3484	3	11	ensuring	ensure	VERB
cana-3484	3	12	that	that	SCONJ
cana-3484	3	13	the	the	DET
cana-3484	3	14	supply	supply	NOUN
cana-3484	3	15	constraints	constraint	VERB
cana-3484	3	16	at	at	ADP
cana-3484	3	17	each	each	DET
cana-3484	3	18	source	source	NOUN
cana-3484	3	19	and	and	CCONJ
cana-3484	3	20	the	the	DET
cana-3484	3	21	demand	demand	NOUN
cana-3484	3	22	requirements	requirement	NOUN
cana-3484	3	23	at	at	ADP
cana-3484	3	24	each	each	DET
cana-3484	3	25	destination	destination	NOUN
cana-3484	3	26	,	,	PUNCT
cana-3484	3	27	represented	represent	VERB
cana-3484	3	28	as	as	ADP
cana-3484	3	29	quadratic	quadratic	ADJ
cana-3484	3	30	fuzzy	fuzzy	ADJ
cana-3484	3	31	numbers	number	NOUN
cana-3484	3	32	,	,	PUNCT
cana-3484	3	33	are	be	AUX
cana-3484	3	34	satisfied	satisfied	ADJ
cana-3484	3	35	.	.	PUNCT
cana-3484	4	1	this	this	DET
cana-3484	4	2	paper	paper	NOUN
cana-3484	4	3	introduces	introduce	VERB
cana-3484	4	4	a	a	DET
cana-3484	4	5	novel	novel	ADJ
cana-3484	4	6	approach	approach	NOUN
cana-3484	4	7	for	for	ADP
cana-3484	4	8	solving	solve	VERB
cana-3484	4	9	generalized	generalize	VERB
cana-3484	4	10	quadratic	quadratic	ADJ
cana-3484	4	11	fuzzy	fuzzy	ADJ
cana-3484	4	12	transportation	transportation	NOUN
cana-3484	4	13	problems	problem	NOUN
cana-3484	4	14	using	use	VERB
cana-3484	4	15	the	the	DET
cana-3484	4	16	piecewise	piecewise	NOUN
cana-3484	4	17	quadratic	quadratic	ADJ
cana-3484	4	18	fuzzy	fuzzy	ADJ
cana-3484	4	19	vogel	vogel	NOUN
cana-3484	4	20	’s	’s	PART
cana-3484	4	21	approximation	approximation	NOUN
cana-3484	4	22	method	method	NOUN
cana-3484	4	23	(	(	PUNCT
cana-3484	4	24	pqfvam	pqfvam	PROPN
cana-3484	4	25	)	)	PUNCT
cana-3484	4	26	and	and	CCONJ
cana-3484	4	27	the	the	DET
cana-3484	4	28	piecewise	piecewise	NOUN
cana-3484	4	29	quadratic	quadratic	ADJ
cana-3484	4	30	fuzzy	fuzzy	ADJ
cana-3484	4	31	modified	modify	VERB
cana-3484	4	32	distribution	distribution	NOUN
cana-3484	4	33	method	method	NOUN
cana-3484	4	34	(	(	PUNCT
cana-3484	4	35	pqfmodi)the	pqfmodi)the	DET
cana-3484	4	36	proposed	propose	VERB
cana-3484	4	37	method	method	NOUN
cana-3484	4	38	is	be	AUX
cana-3484	4	39	simple	simple	ADJ
cana-3484	4	40	,	,	PUNCT
cana-3484	4	41	relying	rely	VERB
cana-3484	4	42	on	on	ADP
cana-3484	4	43	basic	basic	ADJ
cana-3484	4	44	arithmetic	arithmetic	ADJ
cana-3484	4	45	and	and	CCONJ
cana-3484	4	46	logical	logical	ADJ
cana-3484	4	47	calculations	calculation	NOUN
cana-3484	4	48	with	with	ADP
cana-3484	4	49	generalized	generalized	ADJ
cana-3484	4	50	quadratic	quadratic	ADJ
cana-3484	4	51	fuzzy	fuzzy	ADJ
cana-3484	4	52	numbers	number	NOUN
cana-3484	4	53	,	,	PUNCT
cana-3484	4	54	making	make	VERB
cana-3484	4	55	it	it	PRON
cana-3484	4	56	efficient	efficient	ADJ
cana-3484	4	57	and	and	CCONJ
cana-3484	4	58	practical	practical	ADJ
cana-3484	4	59	for	for	ADP
cana-3484	4	60	real	real	ADJ
cana-3484	4	61	-	-	PUNCT
cana-3484	4	62	world	world	NOUN
cana-3484	4	63	applications	application	NOUN
cana-3484	4	64	.	.	PUNCT
cana-3484	5	1	keywords	keyword	NOUN
cana-3484	5	2	:	:	PUNCT
cana-3484	5	3	transportation	transportation	NOUN
cana-3484	5	4	problem	problem	NOUN
cana-3484	5	5	;	;	PUNCT
cana-3484	5	6	generalized	generalize	VERB
cana-3484	5	7	quadratic	quadratic	ADJ
cana-3484	5	8	fuzzy	fuzzy	ADJ
cana-3484	5	9	number	number	NOUN
cana-3484	5	10	(	(	PUNCT
cana-3484	5	11	gqfn	gqfn	PROPN
cana-3484	5	12	)	)	PUNCT
cana-3484	5	13	;	;	PUNCT
cana-3484	5	14	piecewise	piecewise	NOUN
cana-3484	5	15	quadratic	quadratic	ADJ
cana-3484	5	16	fuzzy	fuzzy	ADJ
cana-3484	5	17	vogel	vogel	NOUN
cana-3484	5	18	’s	’s	PART
cana-3484	5	19	approximation	approximation	NOUN
cana-3484	5	20	method	method	NOUN
cana-3484	5	21	(	(	PUNCT
cana-3484	5	22	pqfvam	pqfvam	PROPN
cana-3484	5	23	)	)	PUNCT
cana-3484	5	24	;	;	PUNCT
cana-3484	5	25	piecewise	piecewise	NOUN
cana-3484	5	26	quadratic	quadratic	ADJ
cana-3484	5	27	fuzzy	fuzzy	ADJ
cana-3484	5	28	modified	modify	VERB
cana-3484	5	29	distribution	distribution	NOUN
cana-3484	5	30	method	method	NOUN
cana-3484	5	31	(	(	PUNCT
cana-3484	5	32	pqfmodi	pqfmodi	NOUN
cana-3484	5	33	)	)	PUNCT
cana-3484	5	34	;	;	PUNCT
cana-3484	5	35	1	1	X
cana-3484	5	36	.	.	X
cana-3484	5	37	introduction	introduction	NOUN
cana-3484	5	38	in	in	ADP
cana-3484	5	39	practical	practical	ADJ
cana-3484	5	40	decision	decision	NOUN
cana-3484	5	41	-	-	PUNCT
cana-3484	5	42	making	make	VERB
cana-3484	5	43	scenarios	scenario	NOUN
cana-3484	5	44	,	,	PUNCT
cana-3484	5	45	data	datum	NOUN
cana-3484	5	46	are	be	AUX
cana-3484	5	47	often	often	ADV
cana-3484	5	48	incomplete	incomplete	ADJ
cana-3484	5	49	or	or	CCONJ
cana-3484	5	50	approximate	approximate	ADJ
cana-3484	5	51	.	.	PUNCT
cana-3484	6	1	to	to	PART
cana-3484	6	2	address	address	VERB
cana-3484	6	3	this	this	PRON
cana-3484	6	4	,	,	PUNCT
cana-3484	6	5	zadeh	zadeh	PROPN
cana-3484	7	1	[	[	X
cana-3484	7	2	27	27	NUM
cana-3484	7	3	]	]	PUNCT
cana-3484	7	4	introduced	introduce	VERB
cana-3484	7	5	fuzzy	fuzzy	ADJ
cana-3484	7	6	set	set	NOUN
cana-3484	7	7	theory	theory	NOUN
cana-3484	7	8	in	in	ADP
cana-3484	7	9	1965	1965	NUM
cana-3484	7	10	,	,	PUNCT
cana-3484	7	11	providing	provide	VERB
cana-3484	7	12	a	a	DET
cana-3484	7	13	framework	framework	NOUN
cana-3484	7	14	for	for	ADP
cana-3484	7	15	handling	handle	VERB
cana-3484	7	16	uncertainty	uncertainty	NOUN
cana-3484	7	17	.	.	PUNCT
cana-3484	8	1	in	in	ADP
cana-3484	8	2	1987	1987	NUM
cana-3484	8	3	,	,	PUNCT
cana-3484	8	4	dubois	dubois	PROPN
cana-3484	8	5	and	and	CCONJ
cana-3484	8	6	prade	prade	NOUN
cana-3484	8	7	[	[	X
cana-3484	8	8	11	11	NUM
cana-3484	8	9	]	]	PUNCT
cana-3484	8	10	further	far	ADV
cana-3484	8	11	defined	define	VERB
cana-3484	8	12	a	a	DET
cana-3484	8	13	fuzzy	fuzzy	ADJ
cana-3484	8	14	number	number	NOUN
cana-3484	8	15	as	as	ADP
cana-3484	8	16	a	a	DET
cana-3484	8	17	subset	subset	NOUN
cana-3484	8	18	of	of	ADP
cana-3484	8	19	the	the	DET
cana-3484	8	20	real	real	ADJ
cana-3484	8	21	line	line	NOUN
cana-3484	8	22	,	,	PUNCT
cana-3484	8	23	enabling	enable	VERB
cana-3484	8	24	the	the	DET
cana-3484	8	25	mathematical	mathematical	ADJ
cana-3484	8	26	modeling	modeling	NOUN
cana-3484	8	27	of	of	ADP
cana-3484	8	28	linguistic	linguistic	ADJ
cana-3484	8	29	variables	variable	NOUN
cana-3484	8	30	and	and	CCONJ
cana-3484	8	31	uncertain	uncertain	ADJ
cana-3484	8	32	environments	environment	NOUN
cana-3484	8	33	.	.	PUNCT
cana-3484	9	1	over	over	ADP
cana-3484	9	2	time	time	NOUN
cana-3484	9	3	,	,	PUNCT
cana-3484	9	4	numerous	numerous	ADJ
cana-3484	9	5	researchers	researcher	NOUN
cana-3484	9	6	have	have	AUX
cana-3484	9	7	contributed	contribute	VERB
cana-3484	9	8	to	to	ADP
cana-3484	9	9	advancing	advance	VERB
cana-3484	9	10	fuzzy	fuzzy	ADJ
cana-3484	9	11	transportation	transportation	NOUN
cana-3484	9	12	problem	problem	NOUN
cana-3484	9	13	-	-	PUNCT
cana-3484	9	14	solving	solve	VERB
cana-3484	9	15	techniques	technique	NOUN
cana-3484	9	16	.	.	PUNCT
cana-3484	10	1	bortolan	bortolan	NOUN
cana-3484	10	2	and	and	CCONJ
cana-3484	10	3	degani	degani	PROPN
cana-3484	10	4	explored	explore	VERB
cana-3484	10	5	various	various	ADJ
cana-3484	10	6	ranking	ranking	ADJ
cana-3484	10	7	methods	method	NOUN
cana-3484	10	8	for	for	ADP
cana-3484	10	9	ordering	order	VERB
cana-3484	10	10	fuzzy	fuzzy	ADJ
cana-3484	10	11	subsets	subset	NOUN
cana-3484	10	12	.	.	PUNCT
cana-3484	11	1	using	use	VERB
cana-3484	11	2	left	left	ADJ
cana-3484	11	3	and	and	CCONJ
cana-3484	11	4	right	right	ADJ
cana-3484	11	5	spreads	spread	NOUN
cana-3484	11	6	at	at	ADP
cana-3484	11	7	particular	particular	ADJ
cana-3484	11	8	α	α	NOUN
cana-3484	11	9	-	-	NOUN
cana-3484	11	10	levels	level	NOUN
cana-3484	11	11	,	,	PUNCT
cana-3484	11	12	abbasbandy	abbasbandy	NOUN
cana-3484	11	13	and	and	CCONJ
cana-3484	11	14	hajjari	hajjari	PROPN
cana-3484	11	15	[	[	X
cana-3484	11	16	1	1	X
cana-3484	11	17	]	]	PUNCT
cana-3484	11	18	suggested	suggest	VERB
cana-3484	11	19	a	a	DET
cana-3484	11	20	ranking	ranking	NOUN
cana-3484	11	21	method	method	NOUN
cana-3484	11	22	for	for	ADP
cana-3484	11	23	trapezoidal	trapezoidal	ADJ
cana-3484	11	24	fuzzy	fuzzy	ADJ
cana-3484	11	25	integers	integer	NOUN
cana-3484	11	26	.	.	PUNCT
cana-3484	12	1	with	with	ADP
cana-3484	12	2	an	an	DET
cana-3484	12	3	emphasis	emphasis	NOUN
cana-3484	12	4	on	on	ADP
cana-3484	12	5	trapezoidal	trapezoidal	ADJ
cana-3484	12	6	fuzzy	fuzzy	ADJ
cana-3484	12	7	numbers	number	NOUN
cana-3484	12	8	,	,	PUNCT
cana-3484	12	9	venkatachalapathy	venkatachalapathy	ADJ
cana-3484	12	10	m.	m.	NOUN
cana-3484	12	11	and	and	CCONJ
cana-3484	12	12	a.	a.	NOUN
cana-3484	12	13	edward	edward	PROPN
cana-3484	12	14	samuel	samuel	PROPN
cana-3484	12	15	[	[	X
cana-3484	12	16	25	25	NUM
cana-3484	12	17	]	]	PUNCT
cana-3484	12	18	presented	present	VERB
cana-3484	12	19	an	an	DET
cana-3484	12	20	alternate	alternate	ADJ
cana-3484	12	21	approach	approach	NOUN
cana-3484	12	22	to	to	ADP
cana-3484	12	23	fuzzy	fuzzy	ADJ
cana-3484	12	24	transportation	transportation	NOUN
cana-3484	12	25	problems	problem	NOUN
cana-3484	12	26	utilizing	utilize	VERB
cana-3484	12	27	ranking	ranking	NOUN
cana-3484	12	28	functions	function	NOUN
cana-3484	12	29	.	.	PUNCT
cana-3484	13	1	amit	amit	PROPN
cana-3484	13	2	kumar	kumar	PROPN
cana-3484	13	3	and	and	CCONJ
cana-3484	13	4	amarpreet	amarpreet	PROPN
cana-3484	13	5	kaur	kaur	PROPN
cana-3484	14	1	[	[	X
cana-3484	14	2	2	2	NUM
cana-3484	14	3	]	]	PUNCT
cana-3484	14	4	created	create	VERB
cana-3484	14	5	a	a	DET
cana-3484	14	6	novel	novel	ADJ
cana-3484	14	7	method	method	NOUN
cana-3484	14	8	for	for	ADP
cana-3484	14	9	communications	communication	NOUN
cana-3484	14	10	on	on	ADP
cana-3484	14	11	applied	apply	VERB
cana-3484	14	12	nonlinear	nonlinear	ADJ
cana-3484	14	13	analysis	analysis	NOUN
cana-3484	14	14	issn	issn	NOUN
cana-3484	14	15	:	:	PUNCT
cana-3484	14	16	1074	1074	NUM
cana-3484	14	17	-	-	PUNCT
cana-3484	14	18	133x	133x	NUM
cana-3484	14	19	vol	vol	NOUN
cana-3484	14	20	32	32	NUM
cana-3484	14	21	no	no	NOUN
cana-3484	14	22	.	.	PUNCT
cana-3484	15	1	7s	7	NOUN
cana-3484	15	2	(	(	PUNCT
cana-3484	15	3	2025	2025	NUM
cana-3484	15	4	)	)	PUNCT
cana-3484	15	5	766	766	NUM
cana-3484	15	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-3484	15	7	generalized	generalize	VERB
cana-3484	15	8	trapezoidal	trapezoidal	ADJ
cana-3484	15	9	fuzzy	fuzzy	ADJ
cana-3484	15	10	numbers	number	NOUN
cana-3484	15	11	in	in	ADP
cana-3484	15	12	transportation	transportation	NOUN
cana-3484	15	13	-	-	PUNCT
cana-3484	15	14	related	relate	VERB
cana-3484	15	15	issues	issue	NOUN
cana-3484	15	16	.	.	PUNCT
cana-3484	16	1	ali	ali	PROPN
cana-3484	16	2	ebrahim	ebrahim	PROPN
cana-3484	17	1	[	[	X
cana-3484	17	2	4	4	X
cana-3484	17	3	]	]	PUNCT
cana-3484	17	4	and	and	CCONJ
cana-3484	17	5	adrian	adrian	PROPN
cana-3484	17	6	ban	ban	NOUN
cana-3484	18	1	[	[	X
cana-3484	18	2	3	3	NUM
cana-3484	18	3	]	]	PUNCT
cana-3484	18	4	focused	focus	VERB
cana-3484	18	5	on	on	ADP
cana-3484	18	6	estimating	estimate	VERB
cana-3484	18	7	and	and	CCONJ
cana-3484	18	8	simplifying	simplify	VERB
cana-3484	18	9	fuzzy	fuzzy	ADJ
cana-3484	18	10	numbers	number	NOUN
cana-3484	18	11	for	for	ADP
cana-3484	18	12	real	real	ADJ
cana-3484	18	13	-	-	PUNCT
cana-3484	18	14	world	world	NOUN
cana-3484	18	15	use	use	NOUN
cana-3484	18	16	.	.	PUNCT
cana-3484	19	1	amit	amit	PROPN
cana-3484	19	2	kumar	kumar	PROPN
cana-3484	19	3	et	et	PROPN
cana-3484	19	4	al	al	PROPN
cana-3484	19	5	.	.	PUNCT
cana-3484	20	1	[	[	X
cana-3484	20	2	5	5	NUM
cana-3484	20	3	]	]	PUNCT
cana-3484	20	4	introduced	introduce	VERB
cana-3484	20	5	the	the	DET
cana-3484	20	6	rm	rm	NOUN
cana-3484	20	7	method	method	NOUN
cana-3484	20	8	for	for	ADP
cana-3484	20	9	ranking	rank	VERB
cana-3484	20	10	generalized	generalized	ADJ
cana-3484	20	11	trapezoidal	trapezoidal	ADJ
cana-3484	20	12	fuzzy	fuzzy	ADJ
cana-3484	20	13	numbers	number	NOUN
cana-3484	20	14	.	.	PUNCT
cana-3484	21	1	other	other	ADJ
cana-3484	21	2	significant	significant	ADJ
cana-3484	21	3	contributions	contribution	NOUN
cana-3484	21	4	include	include	VERB
cana-3484	21	5	strategies	strategy	NOUN
cana-3484	21	6	for	for	ADP
cana-3484	21	7	handling	handle	VERB
cana-3484	21	8	multi	multi	ADJ
cana-3484	21	9	-	-	ADJ
cana-3484	21	10	objective	objective	ADJ
cana-3484	21	11	fuzzy	fuzzy	ADJ
cana-3484	21	12	transportation	transportation	NOUN
cana-3484	21	13	problems	problem	NOUN
cana-3484	21	14	,	,	PUNCT
cana-3484	21	15	such	such	ADJ
cana-3484	21	16	as	as	ADP
cana-3484	21	17	those	those	PRON
cana-3484	21	18	proposed	propose	VERB
cana-3484	21	19	by	by	ADP
cana-3484	21	20	ammar	ammar	PROPN
cana-3484	21	21	e.e	e.e	PROPN
cana-3484	21	22	.	.	PROPN
cana-3484	21	23	and	and	CCONJ
cana-3484	21	24	youness	youness	PROPN
cana-3484	21	25	e.a	e.a	PROPN
cana-3484	21	26	.	.	PUNCT
cana-3484	22	1	[	[	X
cana-3484	22	2	6	6	NUM
cana-3484	22	3	]	]	PUNCT
cana-3484	22	4	,	,	PUNCT
cana-3484	22	5	and	and	CCONJ
cana-3484	22	6	solving	solve	VERB
cana-3484	22	7	two	two	NUM
cana-3484	22	8	-	-	PUNCT
cana-3484	22	9	stage	stage	NOUN
cana-3484	22	10	problems	problem	NOUN
cana-3484	22	11	with	with	ADP
cana-3484	22	12	symmetric	symmetric	ADJ
cana-3484	22	13	trapezoidal	trapezoidal	ADJ
cana-3484	22	14	fuzzy	fuzzy	ADJ
cana-3484	22	15	numbers	number	NOUN
cana-3484	22	16	by	by	ADP
cana-3484	22	17	annie	annie	PROPN
cana-3484	22	18	christi	christi	PROPN
cana-3484	22	19	m.s	m.s	PROPN
cana-3484	22	20	.	.	PROPN
cana-3484	22	21	and	and	CCONJ
cana-3484	22	22	shoba	shoba	VERB
cana-3484	22	23	kumari	kumari	PROPN
cana-3484	22	24	k.	k.	PROPN
cana-3484	22	25	advancements	advancements	PROPN
cana-3484	22	26	in	in	ADP
cana-3484	22	27	transportation	transportation	NOUN
cana-3484	22	28	problem	problem	NOUN
cana-3484	22	29	methods	method	NOUN
cana-3484	22	30	,	,	PUNCT
cana-3484	22	31	hitchcock	hitchcock	PROPN
cana-3484	22	32	[	[	X
cana-3484	22	33	15	15	NUM
cana-3484	22	34	]	]	PUNCT
cana-3484	22	35	was	be	AUX
cana-3484	22	36	among	among	ADP
cana-3484	22	37	the	the	DET
cana-3484	22	38	pioneers	pioneer	NOUN
cana-3484	22	39	in	in	ADP
cana-3484	22	40	studying	study	VERB
cana-3484	22	41	the	the	DET
cana-3484	22	42	distribution	distribution	NOUN
cana-3484	22	43	of	of	ADP
cana-3484	22	44	goods	good	NOUN
cana-3484	22	45	from	from	ADP
cana-3484	22	46	multiple	multiple	ADJ
cana-3484	22	47	sources	source	NOUN
cana-3484	22	48	to	to	ADP
cana-3484	22	49	various	various	ADJ
cana-3484	22	50	destinations	destination	NOUN
cana-3484	22	51	.	.	PUNCT
cana-3484	23	1	dharani	dharani	PROPN
cana-3484	23	2	k.	k.	PROPN
cana-3484	23	3	and	and	CCONJ
cana-3484	23	4	selvi	selvi	PROPN
cana-3484	23	5	d.	d.	PROPN
cana-3484	24	1	[	[	X
cana-3484	24	2	11	11	NUM
cana-3484	24	3	]	]	PUNCT
cana-3484	24	4	applied	apply	VERB
cana-3484	24	5	matlab	matlab	PROPN
cana-3484	24	6	to	to	PART
cana-3484	24	7	solve	solve	VERB
cana-3484	24	8	intuitionistic	intuitionistic	ADJ
cana-3484	24	9	fuzzy	fuzzy	ADJ
cana-3484	24	10	transportation	transportation	NOUN
cana-3484	24	11	problems	problem	NOUN
cana-3484	24	12	using	use	VERB
cana-3484	24	13	ranking	ranking	ADJ
cana-3484	24	14	methods	method	NOUN
cana-3484	24	15	.	.	PUNCT
cana-3484	25	1	edward	edward	PROPN
cana-3484	25	2	samuel	samuel	PROPN
cana-3484	25	3	a.	a.	PROPN
cana-3484	25	4	and	and	CCONJ
cana-3484	25	5	venkatachalapathy	venkatachalapathy	ADJ
cana-3484	25	6	m.	m.	NOUN
cana-3484	26	1	[	[	X
cana-3484	26	2	13	13	NUM
cana-3484	26	3	]	]	PUNCT
cana-3484	26	4	enhanced	enhance	VERB
cana-3484	26	5	the	the	DET
cana-3484	26	6	vogel	vogel	NOUN
cana-3484	26	7	’s	’s	PART
cana-3484	26	8	approximation	approximation	NOUN
cana-3484	26	9	method	method	NOUN
cana-3484	26	10	for	for	ADP
cana-3484	26	11	fuzzy	fuzzy	ADJ
cana-3484	26	12	transportation	transportation	NOUN
cana-3484	26	13	problems	problem	NOUN
cana-3484	26	14	.	.	PUNCT
cana-3484	27	1	halgurd	halgurd	PROPN
cana-3484	27	2	namiq	namiq	PROPN
cana-3484	27	3	azeez	azeez	PROPN
cana-3484	27	4	and	and	CCONJ
cana-3484	27	5	abdulqader	abdulqader	PROPN
cana-3484	27	6	othman	othman	PROPN
cana-3484	27	7	hamad	hamad	PROPN
cana-3484	27	8	ameen	ameen	PROPN
cana-3484	28	1	[	[	X
cana-3484	28	2	16	16	NUM
cana-3484	28	3	]	]	PUNCT
cana-3484	28	4	addressed	address	VERB
cana-3484	28	5	stochastic	stochastic	ADJ
cana-3484	28	6	transportation	transportation	NOUN
cana-3484	28	7	problems	problem	NOUN
cana-3484	28	8	with	with	ADP
cana-3484	28	9	fuzzy	fuzzy	ADJ
cana-3484	28	10	probability	probability	NOUN
cana-3484	28	11	distributions	distribution	NOUN
cana-3484	28	12	using	use	VERB
cana-3484	28	13	matlab	matlab	PROPN
cana-3484	28	14	.	.	PUNCT
cana-3484	29	1	jain	jain	PROPN
cana-3484	29	2	k.k	k.k	PROPN
cana-3484	29	3	.	.	PROPN
cana-3484	29	4	et	et	PROPN
cana-3484	29	5	al	al	PROPN
cana-3484	29	6	.	.	PUNCT
cana-3484	30	1	[	[	X
cana-3484	30	2	17	17	NUM
cana-3484	30	3	]	]	PUNCT
cana-3484	30	4	employed	employ	VERB
cana-3484	30	5	lexicographic	lexicographic	ADJ
cana-3484	30	6	goal	goal	NOUN
cana-3484	30	7	programming	programming	NOUN
cana-3484	30	8	for	for	ADP
cana-3484	30	9	multi	multi	ADJ
cana-3484	30	10	-	-	ADJ
cana-3484	30	11	objective	objective	ADJ
cana-3484	30	12	problems	problem	NOUN
cana-3484	30	13	.	.	PUNCT
cana-3484	31	1	in	in	ADP
cana-3484	31	2	engineering	engineering	NOUN
cana-3484	31	3	and	and	CCONJ
cana-3484	31	4	management	management	NOUN
cana-3484	31	5	sciences	science	NOUN
cana-3484	31	6	,	,	PUNCT
cana-3484	31	7	fuzzy	fuzzy	ADJ
cana-3484	31	8	mathematical	mathematical	ADJ
cana-3484	31	9	models	model	NOUN
cana-3484	31	10	were	be	AUX
cana-3484	31	11	developed	develop	VERB
cana-3484	31	12	by	by	ADP
cana-3484	31	13	a.	a.	PROPN
cana-3484	31	14	kaufmann	kaufmann	PROPN
cana-3484	31	15	and	and	CCONJ
cana-3484	31	16	m.m	m.m	PROPN
cana-3484	31	17	.	.	PROPN
cana-3484	31	18	gupta	gupta	PROPN
cana-3484	31	19	[	[	X
cana-3484	31	20	18	18	NUM
cana-3484	31	21	]	]	PUNCT
cana-3484	31	22	.	.	PUNCT
cana-3484	32	1	the	the	DET
cana-3484	32	2	vogel	vogel	NOUN
cana-3484	32	3	's	's	PART
cana-3484	32	4	approximation	approximation	NOUN
cana-3484	32	5	method	method	NOUN
cana-3484	32	6	for	for	ADP
cana-3484	32	7	transportation	transportation	NOUN
cana-3484	32	8	problems	problem	NOUN
cana-3484	32	9	was	be	AUX
cana-3484	32	10	enhanced	enhance	VERB
cana-3484	32	11	by	by	ADP
cana-3484	32	12	korukoğlu	korukoğlu	PROPN
cana-3484	32	13	s.	s.	PROPN
cana-3484	32	14	and	and	CCONJ
cana-3484	32	15	balli	balli	PROPN
cana-3484	32	16	s.	s.	PROPN
cana-3484	33	1	[	[	X
cana-3484	33	2	19	19	NUM
cana-3484	33	3	]	]	PUNCT
cana-3484	33	4	.	.	PUNCT
cana-3484	34	1	to	to	PART
cana-3484	34	2	get	get	VERB
cana-3484	34	3	an	an	DET
cana-3484	34	4	initial	initial	ADJ
cana-3484	34	5	fundamental	fundamental	ADJ
cana-3484	34	6	workable	workable	ADJ
cana-3484	34	7	solution	solution	NOUN
cana-3484	34	8	for	for	ADP
cana-3484	34	9	transportation	transportation	NOUN
cana-3484	34	10	problems	problem	NOUN
cana-3484	34	11	,	,	PUNCT
cana-3484	34	12	yusuf	yusuf	PROPN
cana-3484	34	13	sahin	sahin	PROPN
cana-3484	34	14	and	and	CCONJ
cana-3484	34	15	kenan	kenan	PROPN
cana-3484	34	16	karagul	karagul	PROPN
cana-3484	35	1	[	[	X
cana-3484	35	2	20	20	NUM
cana-3484	35	3	]	]	PUNCT
cana-3484	35	4	presented	present	VERB
cana-3484	35	5	a	a	DET
cana-3484	35	6	unique	unique	ADJ
cana-3484	35	7	approximation	approximation	NOUN
cana-3484	35	8	method	method	NOUN
cana-3484	35	9	.	.	PUNCT
cana-3484	36	1	genetic	genetic	ADJ
cana-3484	36	2	algorithms	algorithm	NOUN
cana-3484	36	3	were	be	AUX
cana-3484	36	4	used	use	VERB
cana-3484	36	5	by	by	ADP
cana-3484	36	6	f.t	f.t	PROPN
cana-3484	36	7	.	.	PUNCT
cana-3484	37	1	lin	lin	PROPN
cana-3484	38	1	[	[	X
cana-3484	38	2	21	21	NUM
cana-3484	38	3	]	]	PUNCT
cana-3484	38	4	to	to	PART
cana-3484	38	5	solve	solve	VERB
cana-3484	38	6	transportation	transportation	NOUN
cana-3484	38	7	problems	problem	NOUN
cana-3484	38	8	using	use	VERB
cana-3484	38	9	fuzzy	fuzzy	ADJ
cana-3484	38	10	coefficients	coefficient	NOUN
cana-3484	38	11	.	.	PUNCT
cana-3484	39	1	t.s	t.s	PROPN
cana-3484	39	2	.	.	PROPN
cana-3484	39	3	liou	liou	PROPN
cana-3484	39	4	and	and	CCONJ
cana-3484	39	5	m.j	m.j	PROPN
cana-3484	39	6	.	.	PROPN
cana-3484	39	7	wang	wang	PROPN
cana-3484	40	1	[	[	X
cana-3484	40	2	22	22	NUM
cana-3484	40	3	]	]	PUNCT
cana-3484	40	4	created	create	VERB
cana-3484	40	5	a	a	DET
cana-3484	40	6	ranking	ranking	NOUN
cana-3484	40	7	method	method	NOUN
cana-3484	40	8	for	for	ADP
cana-3484	40	9	integral	integral	ADV
cana-3484	40	10	-	-	PUNCT
cana-3484	40	11	valued	value	VERB
cana-3484	40	12	fuzzy	fuzzy	ADJ
cana-3484	40	13	numbers	number	NOUN
cana-3484	40	14	.	.	PUNCT
cana-3484	41	1	anuradha	anuradha	PROPN
cana-3484	41	2	d.	d.	PROPN
cana-3484	41	3	and	and	CCONJ
cana-3484	41	4	pandian	pandian	PROPN
cana-3484	41	5	p.	p.	PROPN
cana-3484	42	1	[	[	X
cana-3484	42	2	23	23	NUM
cana-3484	42	3	]	]	PUNCT
cana-3484	42	4	presented	present	VERB
cana-3484	42	5	a	a	DET
cana-3484	42	6	novel	novel	ADJ
cana-3484	42	7	method	method	NOUN
cana-3484	42	8	for	for	ADP
cana-3484	42	9	resolving	resolve	VERB
cana-3484	42	10	solid	solid	ADJ
cana-3484	42	11	transportation	transportation	NOUN
cana-3484	42	12	issues	issue	NOUN
cana-3484	42	13	.	.	PUNCT
cana-3484	43	1	multi	multi	ADJ
cana-3484	43	2	-	-	ADJ
cana-3484	43	3	objective	objective	ADJ
cana-3484	43	4	solid	solid	ADJ
cana-3484	43	5	transportation	transportation	NOUN
cana-3484	43	6	issues	issue	NOUN
cana-3484	43	7	were	be	AUX
cana-3484	43	8	examined	examine	VERB
cana-3484	43	9	by	by	ADP
cana-3484	43	10	sifaoui	sifaoui	ADJ
cana-3484	43	11	t.	t.	NOUN
cana-3484	43	12	and	and	CCONJ
cana-3484	43	13	aïder	aïder	ADJ
cana-3484	43	14	m.	m.	NOUN
cana-3484	44	1	[	[	X
cana-3484	44	2	24	24	NUM
cana-3484	44	3	]	]	PUNCT
cana-3484	44	4	in	in	ADP
cana-3484	44	5	relation	relation	NOUN
cana-3484	44	6	to	to	ADP
cana-3484	44	7	sustainable	sustainable	ADJ
cana-3484	44	8	development	development	NOUN
cana-3484	44	9	and	and	CCONJ
cana-3484	44	10	adaptations	adaptation	NOUN
cana-3484	44	11	of	of	ADP
cana-3484	44	12	vogel	vogel	NOUN
cana-3484	44	13	's	's	PART
cana-3484	44	14	approximation	approximation	NOUN
cana-3484	44	15	method	method	NOUN
cana-3484	44	16	for	for	ADP
cana-3484	44	17	transportation	transportation	NOUN
cana-3484	44	18	problem	problem	NOUN
cana-3484	44	19	solving	solve	VERB
cana-3484	44	20	.	.	PUNCT
cana-3484	45	1	fuzzy	fuzzy	ADJ
cana-3484	45	2	numbers	number	NOUN
cana-3484	45	3	provide	provide	VERB
cana-3484	45	4	a	a	DET
cana-3484	45	5	flexible	flexible	ADJ
cana-3484	45	6	representation	representation	NOUN
cana-3484	45	7	for	for	ADP
cana-3484	45	8	uncertain	uncertain	ADJ
cana-3484	45	9	cost	cost	NOUN
cana-3484	45	10	parameters	parameter	NOUN
cana-3484	45	11	,	,	PUNCT
cana-3484	45	12	which	which	PRON
cana-3484	45	13	often	often	ADV
cana-3484	45	14	can	can	AUX
cana-3484	45	15	not	not	PART
cana-3484	45	16	be	be	AUX
cana-3484	45	17	accurately	accurately	ADV
cana-3484	45	18	described	describe	VERB
cana-3484	45	19	as	as	ADP
cana-3484	45	20	random	random	ADJ
cana-3484	45	21	variables	variable	NOUN
cana-3484	45	22	.	.	PUNCT
cana-3484	46	1	as	as	SCONJ
cana-3484	46	2	demonstrated	demonstrate	VERB
cana-3484	46	3	by	by	ADP
cana-3484	46	4	zimmermann	zimmermann	PROPN
cana-3484	47	1	[	[	X
cana-3484	47	2	29	29	NUM
cana-3484	47	3	]	]	PUNCT
cana-3484	47	4	,	,	PUNCT
cana-3484	47	5	solutions	solution	NOUN
cana-3484	47	6	from	from	ADP
cana-3484	47	7	fuzzy	fuzzy	ADJ
cana-3484	47	8	linear	linear	ADJ
cana-3484	47	9	programming	programming	NOUN
cana-3484	47	10	consistently	consistently	ADV
cana-3484	47	11	deliver	deliver	VERB
cana-3484	47	12	efficient	efficient	ADJ
cana-3484	47	13	results	result	NOUN
cana-3484	47	14	.	.	PUNCT
cana-3484	48	1	this	this	PRON
cana-3484	48	2	has	have	AUX
cana-3484	48	3	inspired	inspire	VERB
cana-3484	48	4	the	the	DET
cana-3484	48	5	development	development	NOUN
cana-3484	48	6	of	of	ADP
cana-3484	48	7	numerous	numerous	ADJ
cana-3484	48	8	fuzzy	fuzzy	ADJ
cana-3484	48	9	optimization	optimization	NOUN
cana-3484	48	10	methods	method	NOUN
cana-3484	48	11	for	for	ADP
cana-3484	48	12	transportation	transportation	NOUN
cana-3484	48	13	problems	problem	NOUN
cana-3484	48	14	,	,	PUNCT
cana-3484	48	15	including	include	VERB
cana-3484	48	16	the	the	DET
cana-3484	48	17	contributions	contribution	NOUN
cana-3484	48	18	by	by	ADP
cana-3484	48	19	samuel	samuel	PROPN
cana-3484	48	20	,	,	PUNCT
cana-3484	48	21	venkatachalapathy	venkatachalapathy	ADJ
cana-3484	48	22	m.	m.	NOUN
cana-3484	49	1	[	[	X
cana-3484	49	2	14	14	NUM
cana-3484	49	3	]	]	PUNCT
cana-3484	49	4	,	,	PUNCT
cana-3484	49	5	and	and	CCONJ
cana-3484	49	6	a.	a.	NOUN
cana-3484	49	7	jayaraja	jayaraja	PROPN
cana-3484	50	1	[	[	X
cana-3484	50	2	26	26	NUM
cana-3484	50	3	]	]	X
cana-3484	50	4	,	,	PUNCT
cana-3484	50	5	who	who	PRON
cana-3484	50	6	refined	refine	VERB
cana-3484	50	7	the	the	DET
cana-3484	50	8	modified	modify	VERB
cana-3484	50	9	vogel	vogel	NOUN
cana-3484	50	10	’s	’s	PART
cana-3484	50	11	approximation	approximation	NOUN
cana-3484	50	12	method	method	NOUN
cana-3484	50	13	(	(	PUNCT
cana-3484	50	14	mvam	mvam	ADJ
cana-3484	50	15	)	)	PUNCT
cana-3484	50	16	for	for	ADP
cana-3484	50	17	solving	solve	VERB
cana-3484	50	18	problems	problem	NOUN
cana-3484	50	19	involving	involve	VERB
cana-3484	50	20	generalized	generalized	ADJ
cana-3484	50	21	trapezoidal	trapezoidal	ADJ
cana-3484	50	22	and	and	CCONJ
cana-3484	50	23	orthogonal	orthogonal	ADJ
cana-3484	50	24	fuzzy	fuzzy	ADJ
cana-3484	50	25	numbers	number	NOUN
cana-3484	50	26	.	.	PUNCT
cana-3484	51	1	by	by	ADP
cana-3484	51	2	leveraging	leverage	VERB
cana-3484	51	3	these	these	DET
cana-3484	51	4	advancements	advancement	NOUN
cana-3484	51	5	,	,	PUNCT
cana-3484	51	6	this	this	DET
cana-3484	51	7	study	study	NOUN
cana-3484	51	8	proposes	propose	VERB
cana-3484	51	9	a	a	DET
cana-3484	51	10	robust	robust	ADJ
cana-3484	51	11	and	and	CCONJ
cana-3484	51	12	efficient	efficient	ADJ
cana-3484	51	13	solution	solution	NOUN
cana-3484	51	14	framework	framework	NOUN
cana-3484	51	15	tailored	tailor	VERB
cana-3484	51	16	to	to	ADP
cana-3484	51	17	generalized	generalize	VERB
cana-3484	51	18	quadratic	quadratic	ADJ
cana-3484	51	19	fuzzy	fuzzy	ADJ
cana-3484	51	20	transportation	transportation	NOUN
cana-3484	51	21	problems	problem	NOUN
cana-3484	51	22	.	.	PUNCT
cana-3484	52	1	,	,	PUNCT
cana-3484	52	2	additionally	additionally	ADV
cana-3484	52	3	,	,	PUNCT
cana-3484	52	4	a	a	DET
cana-3484	52	5	study	study	NOUN
cana-3484	52	6	on	on	ADP
cana-3484	52	7	finding	find	VERB
cana-3484	52	8	optimal	optimal	ADJ
cana-3484	52	9	solutions	solution	NOUN
cana-3484	52	10	for	for	ADP
cana-3484	52	11	orthogonal	orthogonal	ADJ
cana-3484	52	12	fuzzy	fuzzy	ADJ
cana-3484	52	13	numbers	number	NOUN
cana-3484	52	14	using	use	VERB
cana-3484	52	15	the	the	DET
cana-3484	52	16	modified	modify	VERB
cana-3484	52	17	vogel	vogel	NOUN
cana-3484	52	18	's	's	PART
cana-3484	52	19	approximation	approximation	NOUN
cana-3484	52	20	method	method	NOUN
cana-3484	52	21	(	(	PUNCT
cana-3484	52	22	mvam	mvam	ADJ
cana-3484	52	23	)	)	PUNCT
cana-3484	52	24	was	be	AUX
cana-3484	52	25	presented	present	VERB
cana-3484	52	26	.	.	PUNCT
cana-3484	53	1	the	the	DET
cana-3484	53	2	concept	concept	NOUN
cana-3484	53	3	of	of	ADP
cana-3484	53	4	gqfns	gqfns	NOUN
cana-3484	53	5	has	have	AUX
cana-3484	53	6	gained	gain	VERB
cana-3484	53	7	traction	traction	NOUN
cana-3484	53	8	as	as	SCONJ
cana-3484	53	9	researchers	researcher	NOUN
cana-3484	53	10	sought	seek	VERB
cana-3484	53	11	advanced	advanced	ADJ
cana-3484	53	12	methods	method	NOUN
cana-3484	53	13	for	for	ADP
cana-3484	53	14	capturing	capture	VERB
cana-3484	53	15	fuzzy	fuzzy	ADJ
cana-3484	53	16	uncertainty	uncertainty	NOUN
cana-3484	53	17	in	in	ADP
cana-3484	53	18	more	more	ADJ
cana-3484	53	19	complex	complex	ADJ
cana-3484	53	20	systems	system	NOUN
cana-3484	53	21	.	.	PUNCT
cana-3484	54	1	early	early	ADJ
cana-3484	54	2	research	research	NOUN
cana-3484	54	3	on	on	ADP
cana-3484	54	4	fuzzy	fuzzy	ADJ
cana-3484	54	5	numbers	number	NOUN
cana-3484	54	6	focused	focus	VERB
cana-3484	54	7	on	on	ADP
cana-3484	54	8	triangular	triangular	NOUN
cana-3484	54	9	and	and	CCONJ
cana-3484	54	10	trapezoidal	trapezoidal	ADJ
cana-3484	54	11	shapes	shape	NOUN
cana-3484	54	12	due	due	ADP
cana-3484	54	13	to	to	ADP
cana-3484	54	14	their	their	PRON
cana-3484	54	15	simplicity	simplicity	NOUN
cana-3484	54	16	.	.	PUNCT
cana-3484	55	1	however	however	ADV
cana-3484	55	2	,	,	PUNCT
cana-3484	55	3	as	as	SCONJ
cana-3484	55	4	applications	application	NOUN
cana-3484	55	5	grew	grow	VERB
cana-3484	55	6	in	in	ADP
cana-3484	55	7	complexity	complexity	NOUN
cana-3484	55	8	(	(	PUNCT
cana-3484	55	9	e.g.	e.g.	ADV
cana-3484	55	10	,	,	PUNCT
cana-3484	55	11	in	in	ADP
cana-3484	55	12	engineering	engineering	NOUN
cana-3484	55	13	,	,	PUNCT
cana-3484	55	14	economics	economic	NOUN
cana-3484	55	15	,	,	PUNCT
cana-3484	55	16	decision	decision	NOUN
cana-3484	55	17	-	-	PUNCT
cana-3484	55	18	making	making	NOUN
cana-3484	55	19	,	,	PUNCT
cana-3484	55	20	and	and	CCONJ
cana-3484	55	21	machine	machine	NOUN
cana-3484	55	22	learning	learning	NOUN
cana-3484	55	23	)	)	PUNCT
cana-3484	55	24	,	,	PUNCT
cana-3484	55	25	the	the	DET
cana-3484	55	26	need	need	NOUN
cana-3484	55	27	for	for	ADP
cana-3484	55	28	more	more	ADJ
cana-3484	55	29	generalized	generalized	ADJ
cana-3484	55	30	forms	form	NOUN
cana-3484	55	31	,	,	PUNCT
cana-3484	55	32	such	such	ADJ
cana-3484	55	33	as	as	ADP
cana-3484	55	34	gqfns	gqfns	NOUN
cana-3484	55	35	,	,	PUNCT
cana-3484	55	36	became	become	VERB
cana-3484	55	37	apparent	apparent	ADJ
cana-3484	55	38	.	.	PUNCT
cana-3484	56	1	studies	study	NOUN
cana-3484	56	2	have	have	AUX
cana-3484	56	3	demonstrated	demonstrate	VERB
cana-3484	56	4	the	the	DET
cana-3484	56	5	effectiveness	effectiveness	NOUN
cana-3484	56	6	of	of	ADP
cana-3484	56	7	gqfns	gqfns	NOUN
cana-3484	56	8	in	in	ADP
cana-3484	56	9	modelling	model	VERB
cana-3484	56	10	nonlinear	nonlinear	ADJ
cana-3484	56	11	uncertainties	uncertainty	NOUN
cana-3484	56	12	.	.	PUNCT
cana-3484	57	1	applications	application	NOUN
cana-3484	57	2	in	in	ADP
cana-3484	57	3	fields	field	NOUN
cana-3484	57	4	like	like	ADP
cana-3484	57	5	financial	financial	ADJ
cana-3484	57	6	forecasting	forecasting	NOUN
cana-3484	57	7	,	,	PUNCT
cana-3484	57	8	medical	medical	ADJ
cana-3484	57	9	diagnostics	diagnostic	NOUN
cana-3484	57	10	,	,	PUNCT
cana-3484	57	11	and	and	CCONJ
cana-3484	57	12	risk	risk	NOUN
cana-3484	57	13	assessment	assessment	NOUN
cana-3484	57	14	have	have	AUX
cana-3484	57	15	shown	show	VERB
cana-3484	57	16	that	that	SCONJ
cana-3484	57	17	quadratic	quadratic	ADJ
cana-3484	57	18	membership	membership	NOUN
cana-3484	57	19	functions	function	NOUN
cana-3484	57	20	can	can	AUX
cana-3484	57	21	capture	capture	VERB
cana-3484	57	22	subtle	subtle	ADJ
cana-3484	57	23	variations	variation	NOUN
cana-3484	57	24	in	in	ADP
cana-3484	57	25	data	datum	NOUN
cana-3484	57	26	.	.	PUNCT
cana-3484	58	1	comparisons	comparison	NOUN
cana-3484	58	2	between	between	ADP
cana-3484	58	3	gqfns	gqfns	NOUN
cana-3484	58	4	and	and	CCONJ
cana-3484	58	5	traditional	traditional	ADJ
cana-3484	58	6	linear	linear	ADJ
cana-3484	58	7	fuzzy	fuzzy	ADJ
cana-3484	58	8	numbers	number	NOUN
cana-3484	58	9	reveal	reveal	VERB
cana-3484	58	10	that	that	SCONJ
cana-3484	58	11	gqfns	gqfns	NOUN
cana-3484	58	12	often	often	ADV
cana-3484	58	13	provide	provide	VERB
cana-3484	58	14	better	well	ADJ
cana-3484	58	15	precision	precision	NOUN
cana-3484	58	16	and	and	CCONJ
cana-3484	58	17	model	model	NOUN
cana-3484	58	18	fit	fit	ADJ
cana-3484	58	19	for	for	ADP
cana-3484	58	20	complex	complex	ADJ
cana-3484	58	21	,	,	PUNCT
cana-3484	58	22	real	real	ADJ
cana-3484	58	23	-	-	PUNCT
cana-3484	58	24	world	world	NOUN
cana-3484	58	25	data	datum	NOUN
cana-3484	58	26	.	.	PUNCT
cana-3484	59	1	this	this	DET
cana-3484	59	2	paper	paper	NOUN
cana-3484	59	3	aims	aim	VERB
cana-3484	59	4	to	to	PART
cana-3484	59	5	enhance	enhance	VERB
cana-3484	59	6	the	the	DET
cana-3484	59	7	balanced	balanced	ADJ
cana-3484	59	8	generalized	generalized	ADJ
cana-3484	59	9	quadratic	quadratic	ADJ
cana-3484	59	10	fuzzy	fuzzy	ADJ
cana-3484	59	11	transportation	transportation	NOUN
cana-3484	59	12	problem	problem	NOUN
cana-3484	59	13	by	by	ADP
cana-3484	59	14	introducing	introduce	VERB
cana-3484	59	15	modifications	modification	NOUN
cana-3484	59	16	that	that	PRON
cana-3484	59	17	yield	yield	VERB
cana-3484	59	18	an	an	DET
cana-3484	59	19	initial	initial	ADJ
cana-3484	59	20	basic	basic	ADJ
cana-3484	59	21	feasible	feasible	ADJ
cana-3484	59	22	solution	solution	NOUN
cana-3484	59	23	,	,	PUNCT
cana-3484	59	24	contributing	contribute	VERB
cana-3484	59	25	a	a	DET
cana-3484	59	26	refined	refined	ADJ
cana-3484	59	27	approach	approach	NOUN
cana-3484	59	28	to	to	ADP
cana-3484	59	29	managing	manage	VERB
cana-3484	59	30	fuzzy	fuzzy	ADJ
cana-3484	59	31	data	datum	NOUN
cana-3484	59	32	in	in	ADP
cana-3484	59	33	transportation	transportation	NOUN
cana-3484	59	34	models	model	NOUN
cana-3484	59	35	.	.	PUNCT
cana-3484	60	1	this	this	DET
cana-3484	60	2	paper	paper	NOUN
cana-3484	60	3	introduces	introduce	VERB
cana-3484	60	4	a	a	DET
cana-3484	60	5	straight	straight	ADJ
cana-3484	60	6	forward	forward	ADV
cana-3484	60	7	and	and	CCONJ
cana-3484	60	8	easily	easily	ADV
cana-3484	60	9	understandable	understandable	ADJ
cana-3484	60	10	method	method	NOUN
cana-3484	60	11	for	for	ADP
cana-3484	60	12	solving	solve	VERB
cana-3484	60	13	balanced	balanced	ADJ
cana-3484	60	14	generalized	generalized	ADJ
cana-3484	60	15	quadratic	quadratic	ADJ
cana-3484	60	16	fuzzy	fuzzy	ADJ
cana-3484	60	17	transportation	transportation	NOUN
cana-3484	60	18	problems	problem	NOUN
cana-3484	60	19	.	.	PUNCT
cana-3484	61	1	the	the	DET
cana-3484	61	2	proposed	propose	VERB
cana-3484	61	3	approach	approach	NOUN
cana-3484	61	4	is	be	AUX
cana-3484	61	5	illustrated	illustrate	VERB
cana-3484	61	6	with	with	ADP
cana-3484	61	7	suitable	suitable	ADJ
cana-3484	61	8	numerical	numerical	ADJ
cana-3484	61	9	examples	example	NOUN
cana-3484	61	10	and	and	CCONJ
cana-3484	61	11	detailed	detailed	ADJ
cana-3484	61	12	algorithms	algorithm	NOUN
cana-3484	61	13	.	.	PUNCT
cana-3484	62	1	the	the	DET
cana-3484	62	2	communications	communication	NOUN
cana-3484	62	3	on	on	ADP
cana-3484	62	4	applied	apply	VERB
cana-3484	62	5	nonlinear	nonlinear	ADJ
cana-3484	62	6	analysis	analysis	NOUN
cana-3484	62	7	issn	issn	NOUN
cana-3484	62	8	:	:	PUNCT
cana-3484	62	9	1074	1074	NUM
cana-3484	62	10	-	-	PUNCT
cana-3484	62	11	133x	133x	NUM
cana-3484	62	12	vol	vol	NOUN
cana-3484	62	13	32	32	NUM
cana-3484	62	14	no	no	NOUN
cana-3484	62	15	.	.	PUNCT
cana-3484	63	1	7s	7	NOUN
cana-3484	63	2	(	(	PUNCT
cana-3484	63	3	2025	2025	NUM
cana-3484	63	4	)	)	PUNCT
cana-3484	63	5	767	767	NUM
cana-3484	63	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	63	7	structure	structure	NOUN
cana-3484	63	8	of	of	ADP
cana-3484	63	9	the	the	DET
cana-3484	63	10	paper	paper	NOUN
cana-3484	63	11	is	be	AUX
cana-3484	63	12	as	as	SCONJ
cana-3484	63	13	follows	follow	VERB
cana-3484	63	14	section	section	NOUN
cana-3484	63	15	2	2	NUM
cana-3484	63	16	,	,	PUNCT
cana-3484	63	17	preliminaries	preliminary	NOUN
cana-3484	63	18	and	and	CCONJ
cana-3484	63	19	basic	basic	ADJ
cana-3484	63	20	definitions	definition	NOUN
cana-3484	63	21	.	.	PUNCT
cana-3484	64	1	sections	section	NOUN
cana-3484	64	2	3	3	NUM
cana-3484	64	3	and	and	CCONJ
cana-3484	64	4	4	4	NUM
cana-3484	64	5	:	:	PUNCT
cana-3484	64	6	proposed	propose	VERB
cana-3484	64	7	algorithms	algorithm	NOUN
cana-3484	64	8	and	and	CCONJ
cana-3484	64	9	numerical	numerical	ADJ
cana-3484	64	10	examples	example	NOUN
cana-3484	64	11	of	of	ADP
cana-3484	64	12	balanced	balanced	ADJ
cana-3484	64	13	generalized	generalized	ADJ
cana-3484	64	14	piecewise	piecewise	NOUN
cana-3484	64	15	quadratic	quadratic	ADJ
cana-3484	64	16	fuzzy	fuzzy	ADJ
cana-3484	64	17	transportation	transportation	NOUN
cana-3484	64	18	problems	problem	NOUN
cana-3484	64	19	,	,	PUNCT
cana-3484	64	20	utilizing	utilize	VERB
cana-3484	64	21	the	the	DET
cana-3484	64	22	pqfvam	pqfvam	NOUN
cana-3484	64	23	and	and	CCONJ
cana-3484	64	24	the	the	DET
cana-3484	64	25	pqfmodi	pqfmodi	NOUN
cana-3484	64	26	to	to	PART
cana-3484	64	27	formulate	formulate	VERB
cana-3484	64	28	transportation	transportation	NOUN
cana-3484	64	29	problems	problem	NOUN
cana-3484	64	30	mathematically	mathematically	ADV
cana-3484	64	31	and	and	CCONJ
cana-3484	64	32	obtain	obtain	VERB
cana-3484	64	33	optimal	optimal	ADJ
cana-3484	64	34	solutions	solution	NOUN
cana-3484	64	35	.	.	PUNCT
cana-3484	65	1	the	the	DET
cana-3484	65	2	conclusion	conclusion	NOUN
cana-3484	65	3	is	be	AUX
cana-3484	65	4	discussed	discuss	VERB
cana-3484	65	5	in	in	ADP
cana-3484	65	6	section	section	NOUN
cana-3484	65	7	5	5	NUM
cana-3484	65	8	.	.	SYM
cana-3484	65	9	2	2	NUM
cana-3484	65	10	.	.	NOUN
cana-3484	65	11	preliminaries	preliminary	NOUN
cana-3484	65	12	2.1	2.1	NUM
cana-3484	65	13	formation	formation	NOUN
cana-3484	65	14	of	of	ADP
cana-3484	65	15	crisp	crisp	ADJ
cana-3484	65	16	balanced	balanced	ADJ
cana-3484	65	17	transportation	transportation	NOUN
cana-3484	65	18	problems	problem	NOUN
cana-3484	65	19	a	a	DET
cana-3484	65	20	fuzzy	fuzzy	ADJ
cana-3484	65	21	balanced	balanced	ADJ
cana-3484	65	22	transportation	transportation	NOUN
cana-3484	65	23	problem	problem	NOUN
cana-3484	65	24	can	can	AUX
cana-3484	65	25	be	be	AUX
cana-3484	65	26	represented	represent	VERB
cana-3484	65	27	into	into	ADP
cana-3484	65	28	tabular	tabular	NOUN
cana-3484	65	29	form	form	NOUN
cana-3484	65	30	as	as	SCONJ
cana-3484	65	31	shown	show	VERB
cana-3484	65	32	by	by	ADP
cana-3484	65	33	fuzzy	fuzzy	ADJ
cana-3484	65	34	cost	cost	NOUN
cana-3484	65	35	per	per	ADP
cana-3484	65	36	unit	unit	NOUN
cana-3484	65	37	distributed	distribute	VERB
cana-3484	65	38	destination	destination	NOUN
cana-3484	65	39	1	1	NUM
cana-3484	65	40	2	2	NUM
cana-3484	65	41	3	3	NUM
cana-3484	65	42	.	.	PUNCT
cana-3484	65	43	.	.	PUNCT
cana-3484	66	1	n	n	PRON
cana-3484	66	2	supply	supply	NOUN
cana-3484	66	3	is	be	AUX
cana-3484	66	4	~	~	PUNCT
cana-3484	66	5	1	1	NUM
cana-3484	66	6	11	11	NUM
cana-3484	66	7	~	~	PUNCT
cana-3484	66	8	c	c	NOUN
cana-3484	66	9	12	12	NUM
cana-3484	66	10	~	~	PUNCT
cana-3484	66	11	c	c	NOUN
cana-3484	66	12	13	13	NUM
cana-3484	66	13	~	~	SYM
cana-3484	66	14	c	c	X
cana-3484	66	15	.	.	PUNCT
cana-3484	66	16	.	.	PUNCT
cana-3484	67	1	n	n	PRON
cana-3484	67	2	c	c	NOUN
cana-3484	67	3	1	1	NUM
cana-3484	67	4	~	~	SYM
cana-3484	67	5	1	1	NUM
cana-3484	67	6	~	~	PUNCT
cana-3484	67	7	s	s	PART
cana-3484	67	8	2	2	NUM
cana-3484	67	9	21	21	NUM
cana-3484	67	10	~	~	PUNCT
cana-3484	67	11	c	c	X
cana-3484	67	12	22	22	NUM
cana-3484	67	13	~	~	PUNCT
cana-3484	67	14	c	c	NOUN
cana-3484	67	15	23	23	NUM
cana-3484	67	16	~	~	PUNCT
cana-3484	67	17	c	c	X
cana-3484	67	18	.	.	PUNCT
cana-3484	67	19	.	.	PUNCT
cana-3484	68	1	n	n	PRON
cana-3484	68	2	c	c	NOUN
cana-3484	68	3	2	2	NUM
cana-3484	68	4	~	~	SYM
cana-3484	68	5	2	2	NUM
cana-3484	68	6	~	~	PUNCT
cana-3484	68	7	s	s	PART
cana-3484	68	8	3	3	NUM
cana-3484	68	9	31	31	NUM
cana-3484	68	10	~	~	PUNCT
cana-3484	68	11	c	c	X
cana-3484	68	12	32	32	NUM
cana-3484	68	13	~	~	PUNCT
cana-3484	68	14	c	c	PROPN
cana-3484	68	15	33	33	NUM
cana-3484	68	16	~	~	SYM
cana-3484	68	17	c	c	X
cana-3484	68	18	.	.	PUNCT
cana-3484	68	19	.	.	PUNCT
cana-3484	69	1	n	n	PRON
cana-3484	69	2	c	c	NOUN
cana-3484	69	3	3	3	NUM
cana-3484	69	4	~	~	SYM
cana-3484	69	5	3	3	NUM
cana-3484	69	6	~	~	SYM
cana-3484	69	7	s	s	PART
cana-3484	69	8	.	.	PUNCT
cana-3484	69	9	.	.	PUNCT
cana-3484	69	10	.	.	PUNCT
cana-3484	69	11	.	.	PUNCT
cana-3484	69	12	.	.	PUNCT
cana-3484	69	13	.	.	PUNCT
cana-3484	69	14	.	.	PUNCT
cana-3484	69	15	.	.	PUNCT
cana-3484	69	16	.	.	PUNCT
cana-3484	69	17	.	.	PUNCT
cana-3484	69	18	.	.	PUNCT
cana-3484	69	19	.	.	PUNCT
cana-3484	69	20	.	.	PUNCT
cana-3484	69	21	.	.	PUNCT
cana-3484	70	1	m	m	VERB
cana-3484	70	2	1	1	NUM
cana-3484	70	3	~	~	PUNCT
cana-3484	70	4	m	m	VERB
cana-3484	70	5	c	c	NOUN
cana-3484	70	6	2	2	NUM
cana-3484	70	7	~	~	PUNCT
cana-3484	70	8	m	m	VERB
cana-3484	70	9	c	c	NOUN
cana-3484	70	10	3	3	NUM
cana-3484	70	11	~	~	PUNCT
cana-3484	70	12	m	m	VERB
cana-3484	70	13	c	c	NOUN
cana-3484	70	14	.	.	PUNCT
cana-3484	70	15	.	.	PUNCT
cana-3484	71	1	mn	mn	PROPN
cana-3484	71	2	c	c	X
cana-3484	71	3	~	~	PUNCT
cana-3484	71	4	m	m	PRON
cana-3484	71	5	s	s	X
cana-3484	71	6	~	~	PUNCT
cana-3484	71	7	demand	demand	NOUN
cana-3484	71	8	jd	jd	X
cana-3484	71	9	~	~	PUNCT
cana-3484	71	10	1	1	X
cana-3484	71	11	~	~	PUNCT
cana-3484	71	12	d	d	SYM
cana-3484	71	13	2	2	X
cana-3484	71	14	~	~	PUNCT
cana-3484	71	15	d	d	NOUN
cana-3484	71	16	3	3	X
cana-3484	71	17	~	~	PUNCT
cana-3484	71	18	d	d	SYM
cana-3484	71	19	4	4	NUM
cana-3484	71	20	~	~	PUNCT
cana-3484	71	21	d	d	NOUN
cana-3484	71	22	table	table	NOUN
cana-3484	71	23	.1	.1	NUM
cana-3484	71	24	formation	formation	NOUN
cana-3484	71	25	of	of	ADP
cana-3484	71	26	a	a	DET
cana-3484	71	27	fuzzy	fuzzy	ADJ
cana-3484	71	28	cost	cost	NOUN
cana-3484	71	29	transportation	transportation	NOUN
cana-3484	71	30	problem	problem	NOUN
cana-3484	71	31	where	where	SCONJ
cana-3484	71	32	,	,	PUNCT
cana-3484	71	33	(	(	PUNCT
cana-3484	71	34	i	i	NOUN
cana-3484	71	35	)	)	PUNCT
cana-3484	71	36	m	m	VERB
cana-3484	71	37	represents	represent	VERB
cana-3484	71	38	the	the	DET
cana-3484	71	39	number	number	NOUN
cana-3484	71	40	of	of	ADP
cana-3484	71	41	sources	source	NOUN
cana-3484	71	42	.	.	PUNCT
cana-3484	72	1	(	(	PUNCT
cana-3484	72	2	ii	ii	NOUN
cana-3484	72	3	)	)	PUNCT
cana-3484	73	1	n	n	CCONJ
cana-3484	73	2	represents	represent	VERB
cana-3484	73	3	the	the	DET
cana-3484	73	4	number	number	NOUN
cana-3484	73	5	of	of	ADP
cana-3484	73	6	destinations	destination	NOUN
cana-3484	73	7	.	.	PUNCT
cana-3484	74	1	(	(	PUNCT
cana-3484	74	2	iii	iii	X
cana-3484	74	3	)	)	PUNCT
cana-3484	74	4	is	be	AUX
cana-3484	74	5	~	~	PUNCT
cana-3484	74	6	represents	represent	VERB
cana-3484	74	7	the	the	DET
cana-3484	74	8	i	i	PROPN
cana-3484	74	9	th	th	X
cana-3484	74	10	source	source	NOUN
cana-3484	74	11	and	and	CCONJ
cana-3484	74	12	jd	jd	PROPN
cana-3484	74	13	~	~	PUNCT
cana-3484	74	14	represents	represent	VERB
cana-3484	74	15	demand	demand	NOUN
cana-3484	74	16	.	.	PUNCT
cana-3484	75	1	2.2	2.2	NUM
cana-3484	75	2	formulation	formulation	NOUN
cana-3484	75	3	of	of	ADP
cana-3484	75	4	generalized	generalized	ADJ
cana-3484	75	5	quadratic	quadratic	ADJ
cana-3484	75	6	fuzzy	fuzzy	ADJ
cana-3484	75	7	linear	linear	ADJ
cana-3484	75	8	programming	programming	NOUN
cana-3484	75	9	model	model	NOUN
cana-3484	75	10	the	the	DET
cana-3484	75	11	transportation	transportation	NOUN
cana-3484	75	12	problem	problem	NOUN
cana-3484	75	13	is	be	AUX
cana-3484	75	14	represented	represent	VERB
cana-3484	75	15	by	by	ADP
cana-3484	75	16	the	the	DET
cana-3484	75	17	generalized	generalized	ADJ
cana-3484	75	18	quadratic	quadratic	ADJ
cana-3484	75	19	fuzzy	fuzzy	ADJ
cana-3484	75	20	linear	linear	ADJ
cana-3484	75	21	programming	programming	NOUN
cana-3484	75	22	model	model	NOUN
cana-3484	75	23	,	,	PUNCT
cana-3484	75	24	which	which	PRON
cana-3484	75	25	is	be	AUX
cana-3484	75	26	provided	provide	VERB
cana-3484	75	27	as	as	ADP
cana-3484	75	28	min	min	NOUN
cana-3484	75	29			NOUN
cana-3484	75	30	=	=	NOUN
cana-3484	75	31	=	=	SYM
cana-3484	75	32	=	=	SYM
cana-3484	75	33	n	n	NUM
cana-3484	75	34	j	j	PROPN
cana-3484	75	35	jiji	jiji	PROPN
cana-3484	75	36	m	m	VERB
cana-3484	75	37	i	i	PRON
cana-3484	75	38	xcz	xcz	VERB
cana-3484	75	39	11	11	NUM
cana-3484	75	40	~	~	PUNCT
cana-3484	75	41	.	.	PUNCT
cana-3484	76	1	subject	subject	ADJ
cana-3484	76	2	to	to	ADP
cana-3484	76	3			X
cana-3484	76	4	=	=	PUNCT
cana-3484	76	5			NOUN
cana-3484	76	6	n	n	PRON
cana-3484	76	7	j	j	PROPN
cana-3484	76	8	iji	iji	VERB
cana-3484	76	9	sx	sx	PROPN
cana-3484	76	10	1	1	NUM
cana-3484	76	11	~	~	PUNCT
cana-3484	76	12	;	;	PUNCT
cana-3484	76	13	mi	mi	PROPN
cana-3484	76	14	,	,	PUNCT
cana-3484	76	15	......	......	PROPN
cana-3484	76	16	,	,	PUNCT
cana-3484	76	17	2,1=	2,1=	NUM
cana-3484	76	18			X
cana-3484	77	1	=	=	SYM
cana-3484	77	2			NUM
cana-3484	77	3	m	m	VERB
cana-3484	78	1	i	i	PRON
cana-3484	78	2	jji	jji	VERB
cana-3484	78	3	dx	dx	PROPN
cana-3484	78	4	1	1	NUM
cana-3484	78	5	~	~	PUNCT
cana-3484	78	6	;	;	PUNCT
cana-3484	78	7	nj	nj	PROPN
cana-3484	78	8	,	,	PUNCT
cana-3484	78	9	......	......	PUNCT
cana-3484	78	10	,	,	PUNCT
cana-3484	78	11	2,1=	2,1=	NUM
cana-3484	78	12	0jix	0jix	NUM
cana-3484	78	13	.	.	PUNCT
cana-3484	79	1	for	for	ADP
cana-3484	79	2	all	all	DET
cana-3484	79	3	i	i	PRON
cana-3484	79	4	and	and	CCONJ
cana-3484	79	5	j	j	PROPN
cana-3484	79	6	.	.	PUNCT
cana-3484	80	1	in	in	ADP
cana-3484	80	2	mathematical	mathematical	ADJ
cana-3484	80	3	terms	term	NOUN
cana-3484	80	4	the	the	DET
cana-3484	80	5	above	above	ADJ
cana-3484	80	6	problem	problem	NOUN
cana-3484	80	7	can	can	AUX
cana-3484	80	8	be	be	AUX
cana-3484	80	9	expressed	express	VERB
cana-3484	80	10	as	as	ADP
cana-3484	80	11	finding	find	VERB
cana-3484	80	12	a	a	DET
cana-3484	80	13	set	set	NOUN
cana-3484	80	14	of	of	ADP
cana-3484	80	15	jix	jix	PROPN
cana-3484	80	16	’s	’s	PART
cana-3484	80	17	,	,	PUNCT
cana-3484	80	18	mi	mi	PROPN
cana-3484	80	19	,	,	PUNCT
cana-3484	80	20	......	......	PUNCT
cana-3484	80	21	,	,	PUNCT
cana-3484	80	22	2,1=	2,1=	NUM
cana-3484	80	23	;	;	PUNCT
cana-3484	80	24	nj	nj	PROPN
cana-3484	80	25	,	,	PUNCT
cana-3484	80	26	......	......	PUNCT
cana-3484	80	27	,	,	PUNCT
cana-3484	80	28	2,1=	2,1=	NUM
cana-3484	80	29	to	to	ADP
cana-3484	80	30	communications	communication	NOUN
cana-3484	80	31	on	on	ADP
cana-3484	80	32	applied	apply	VERB
cana-3484	80	33	nonlinear	nonlinear	ADJ
cana-3484	80	34	analysis	analysis	NOUN
cana-3484	80	35	issn	issn	NOUN
cana-3484	80	36	:	:	PUNCT
cana-3484	80	37	1074	1074	NUM
cana-3484	80	38	-	-	PUNCT
cana-3484	80	39	133x	133x	NUM
cana-3484	80	40	vol	vol	NOUN
cana-3484	80	41	32	32	NUM
cana-3484	80	42	no	no	NOUN
cana-3484	80	43	.	.	PUNCT
cana-3484	81	1	7s	7	NOUN
cana-3484	81	2	(	(	PUNCT
cana-3484	81	3	2025	2025	NUM
cana-3484	81	4	)	)	PUNCT
cana-3484	81	5	768	768	NUM
cana-3484	81	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	81	7	min	min	NOUN
cana-3484	81	8			NOUN
cana-3484	82	1	=	=	NOUN
cana-3484	82	2	=	=	SYM
cana-3484	82	3	=	=	SYM
cana-3484	82	4	n	n	NUM
cana-3484	82	5	j	j	PROPN
cana-3484	82	6	jiji	jiji	PROPN
cana-3484	82	7	m	m	VERB
cana-3484	82	8	i	i	PRON
cana-3484	82	9	xcz	xcz	VERB
cana-3484	82	10	11	11	NUM
cana-3484	82	11	~	~	PUNCT
cana-3484	82	12	.	.	PUNCT
cana-3484	83	1	subject	subject	ADJ
cana-3484	83	2	to	to	ADP
cana-3484	83	3			X
cana-3484	83	4	=	=	PUNCT
cana-3484	84	1	=	=	SYM
cana-3484	84	2	n	n	NUM
cana-3484	84	3	j	j	PROPN
cana-3484	84	4	iji	iji	VERB
cana-3484	84	5	sx	sx	PROPN
cana-3484	84	6	1	1	NUM
cana-3484	84	7	~	~	PUNCT
cana-3484	84	8	;	;	PUNCT
cana-3484	84	9	mi	mi	PROPN
cana-3484	84	10	,	,	PUNCT
cana-3484	84	11	......	......	PROPN
cana-3484	84	12	,	,	PUNCT
cana-3484	84	13	2,1=	2,1=	NUM
cana-3484	84	14			X
cana-3484	85	1	=	=	PUNCT
cana-3484	86	1	=	=	PUNCT
cana-3484	86	2	m	m	VERB
cana-3484	86	3	i	i	PRON
cana-3484	86	4	jji	jji	VERB
cana-3484	86	5	dx	dx	PROPN
cana-3484	86	6	1	1	NUM
cana-3484	86	7	~	~	PUNCT
cana-3484	86	8	;	;	PUNCT
cana-3484	86	9	nj	nj	PROPN
cana-3484	86	10	,	,	PUNCT
cana-3484	86	11	......	......	PUNCT
cana-3484	86	12	,	,	PUNCT
cana-3484	86	13	2,1=	2,1=	NUM
cana-3484	86	14	0jix	0jix	NUM
cana-3484	86	15	.	.	PUNCT
cana-3484	87	1	for	for	ADP
cana-3484	87	2	all	all	DET
cana-3484	87	3	i	i	PRON
cana-3484	87	4	and	and	CCONJ
cana-3484	87	5	j	j	PROPN
cana-3484	87	6	.	.	PUNCT
cana-3484	88	1	2.3	2.3	NUM
cana-3484	88	2	generalized	generalize	VERB
cana-3484	88	3	quadratic	quadratic	ADJ
cana-3484	88	4	fuzzy	fuzzy	ADJ
cana-3484	88	5	numbers	number	NOUN
cana-3484	88	6	(	(	PUNCT
cana-3484	88	7	gqfns	gqfns	NOUN
cana-3484	88	8	)	)	PUNCT
cana-3484	88	9	generalized	generalize	VERB
cana-3484	88	10	quadratic	quadratic	ADJ
cana-3484	88	11	fuzzy	fuzzy	ADJ
cana-3484	88	12	numbers	number	NOUN
cana-3484	88	13	(	(	PUNCT
cana-3484	88	14	gqfns	gqfns	NOUN
cana-3484	88	15	)	)	PUNCT
cana-3484	88	16	extend	extend	VERB
cana-3484	88	17	the	the	DET
cana-3484	88	18	concept	concept	NOUN
cana-3484	88	19	of	of	ADP
cana-3484	88	20	fuzzy	fuzzy	ADJ
cana-3484	88	21	numbers	number	NOUN
cana-3484	88	22	,	,	PUNCT
cana-3484	88	23	particularly	particularly	ADV
cana-3484	88	24	useful	useful	ADJ
cana-3484	88	25	in	in	ADP
cana-3484	88	26	scenarios	scenario	NOUN
cana-3484	88	27	with	with	ADP
cana-3484	88	28	uncertain	uncertain	ADJ
cana-3484	88	29	or	or	CCONJ
cana-3484	88	30	imprecise	imprecise	ADJ
cana-3484	88	31	data	datum	NOUN
cana-3484	88	32	.	.	PUNCT
cana-3484	89	1	unlike	unlike	ADP
cana-3484	89	2	traditional	traditional	ADJ
cana-3484	89	3	fuzzy	fuzzy	ADJ
cana-3484	89	4	numbers	number	NOUN
cana-3484	89	5	,	,	PUNCT
cana-3484	89	6	which	which	PRON
cana-3484	89	7	are	be	AUX
cana-3484	89	8	linear	linear	ADJ
cana-3484	89	9	,	,	PUNCT
cana-3484	89	10	gqfns	gqfns	NOUN
cana-3484	89	11	introduce	introduce	VERB
cana-3484	89	12	a	a	DET
cana-3484	89	13	quadratic	quadratic	ADJ
cana-3484	89	14	(	(	PUNCT
cana-3484	89	15	parabolic	parabolic	ADJ
cana-3484	89	16	)	)	PUNCT
cana-3484	89	17	membership	membership	NOUN
cana-3484	89	18	function	function	NOUN
cana-3484	89	19	that	that	PRON
cana-3484	89	20	can	can	AUX
cana-3484	89	21	handle	handle	VERB
cana-3484	89	22	more	more	ADJ
cana-3484	89	23	complex	complex	ADJ
cana-3484	89	24	data	datum	NOUN
cana-3484	89	25	structures	structure	NOUN
cana-3484	89	26	,	,	PUNCT
cana-3484	89	27	offering	offer	VERB
cana-3484	89	28	greater	great	ADJ
cana-3484	89	29	flexibility	flexibility	NOUN
cana-3484	89	30	and	and	CCONJ
cana-3484	89	31	precision	precision	NOUN
cana-3484	89	32	in	in	ADP
cana-3484	89	33	representing	represent	VERB
cana-3484	89	34	uncertainty	uncertainty	NOUN
cana-3484	89	35	.	.	PUNCT
cana-3484	90	1	2.4	2.4	NUM
cana-3484	90	2	basic	basic	ADJ
cana-3484	90	3	definition	definition	NOUN
cana-3484	90	4	of	of	ADP
cana-3484	90	5	generalized	generalized	ADJ
cana-3484	90	6	quadratic	quadratic	ADJ
cana-3484	90	7	fuzzy	fuzzy	ADJ
cana-3484	90	8	numbers	number	NOUN
cana-3484	90	9	a	a	DET
cana-3484	90	10	membership	membership	NOUN
cana-3484	90	11	function	function	NOUN
cana-3484	90	12	that	that	PRON
cana-3484	90	13	specifies	specify	VERB
cana-3484	90	14	the	the	DET
cana-3484	90	15	level	level	NOUN
cana-3484	90	16	of	of	ADP
cana-3484	90	17	belongingness	belongingness	NOUN
cana-3484	90	18	of	of	ADP
cana-3484	90	19	every	every	DET
cana-3484	90	20	element	element	NOUN
cana-3484	90	21	in	in	ADP
cana-3484	90	22	a	a	DET
cana-3484	90	23	universe	universe	NOUN
cana-3484	90	24	is	be	AUX
cana-3484	90	25	commonly	commonly	ADV
cana-3484	90	26	used	use	VERB
cana-3484	90	27	to	to	PART
cana-3484	90	28	express	express	VERB
cana-3484	90	29	a	a	DET
cana-3484	90	30	fuzzy	fuzzy	ADJ
cana-3484	90	31	number	number	NOUN
cana-3484	90	32	.	.	PUNCT
cana-3484	91	1	for	for	ADP
cana-3484	91	2	gqfns	gqfns	NOUN
cana-3484	91	3	,	,	PUNCT
cana-3484	91	4	the	the	DET
cana-3484	91	5	membership	membership	NOUN
cana-3484	91	6	function	function	NOUN
cana-3484	91	7	is	be	AUX
cana-3484	91	8	quadratic	quadratic	ADJ
cana-3484	91	9	,	,	PUNCT
cana-3484	91	10	which	which	PRON
cana-3484	91	11	means	mean	VERB
cana-3484	91	12	it	it	PRON
cana-3484	91	13	includes	include	VERB
cana-3484	91	14	a	a	DET
cana-3484	91	15	parabolic	parabolic	ADJ
cana-3484	91	16	function	function	NOUN
cana-3484	91	17	in	in	ADP
cana-3484	91	18	its	its	PRON
cana-3484	91	19	construction	construction	NOUN
cana-3484	91	20	.	.	PUNCT
cana-3484	92	1	membership	membership	NOUN
cana-3484	92	2	function	function	NOUN
cana-3484	92	3	:	:	PUNCT
cana-3484	92	4	for	for	ADP
cana-3484	92	5	a	a	DET
cana-3484	92	6	gqfn	gqfn	NOUN
cana-3484	92	7	,	,	PUNCT
cana-3484	92	8	the	the	DET
cana-3484	92	9	membership	membership	NOUN
cana-3484	92	10	function	function	NOUN
cana-3484	92	11	μ(x	μ(x	PROPN
cana-3484	92	12	)	)	PUNCT
cana-3484	92	13	is	be	AUX
cana-3484	92	14	defined	define	VERB
cana-3484	92	15	as	as	ADP
cana-3484	92	16	a	a	DET
cana-3484	92	17	quadratic	quadratic	ADJ
cana-3484	92	18	function	function	NOUN
cana-3484	92	19	,	,	PUNCT
cana-3484	92	20	generally	generally	ADV
cana-3484	92	21	of	of	ADP
cana-3484	92	22	the	the	DET
cana-3484	92	23	form	form	NOUN
cana-3484	92	24	:	:	PUNCT
cana-3484	92	25	where	where	SCONJ
cana-3484	92	26	l	l	NOUN
cana-3484	92	27	,	,	PUNCT
cana-3484	92	28	m	m	PROPN
cana-3484	92	29	,	,	PUNCT
cana-3484	92	30	n	n	CCONJ
cana-3484	92	31	,	,	PUNCT
cana-3484	92	32	r	r	NOUN
cana-3484	92	33	represent	represent	VERB
cana-3484	92	34	the	the	DET
cana-3484	92	35	parameters	parameter	NOUN
cana-3484	92	36	that	that	PRON
cana-3484	92	37	define	define	VERB
cana-3484	92	38	the	the	DET
cana-3484	92	39	fuzzy	fuzzy	ADJ
cana-3484	92	40	number	number	NOUN
cana-3484	92	41	's	's	PART
cana-3484	92	42	"	"	PUNCT
cana-3484	92	43	support	support	NOUN
cana-3484	92	44	"	"	PUNCT
cana-3484	92	45	and	and	CCONJ
cana-3484	92	46	"	"	PUNCT
cana-3484	92	47	core	core	ADJ
cana-3484	92	48	"	"	PUNCT
cana-3484	92	49	values	value	NOUN
cana-3484	92	50	.	.	PUNCT
cana-3484	93	1	the	the	DET
cana-3484	93	2	quadratic	quadratic	ADJ
cana-3484	93	3	expression	expression	NOUN
cana-3484	93	4	ensures	ensure	VERB
cana-3484	93	5	a	a	DET
cana-3484	93	6	parabolic	parabolic	ADJ
cana-3484	93	7	shape	shape	NOUN
cana-3484	93	8	,	,	PUNCT
cana-3484	93	9	allowing	allow	VERB
cana-3484	93	10	more	more	ADV
cana-3484	93	11	flexible	flexible	ADJ
cana-3484	93	12	representation	representation	NOUN
cana-3484	93	13	for	for	ADP
cana-3484	93	14	uncertainty	uncertainty	NOUN
cana-3484	93	15	and	and	CCONJ
cana-3484	93	16	variability	variability	NOUN
cana-3484	93	17	.	.	PUNCT
cana-3484	94	1	this	this	DET
cana-3484	94	2	parabolic	parabolic	ADJ
cana-3484	94	3	nature	nature	NOUN
cana-3484	94	4	of	of	ADP
cana-3484	94	5	the	the	DET
cana-3484	94	6	membership	membership	NOUN
cana-3484	94	7	function	function	NOUN
cana-3484	94	8	in	in	ADP
cana-3484	94	9	gqfns	gqfns	NOUN
cana-3484	94	10	allows	allow	VERB
cana-3484	94	11	for	for	ADP
cana-3484	94	12	a	a	DET
cana-3484	94	13	more	more	ADV
cana-3484	94	14	accurate	accurate	ADJ
cana-3484	94	15	depiction	depiction	NOUN
cana-3484	94	16	of	of	ADP
cana-3484	94	17	uncertainties	uncertainty	NOUN
cana-3484	94	18	compared	compare	VERB
cana-3484	94	19	to	to	ADP
cana-3484	94	20	linear	linear	PROPN
cana-3484	94	21	membership	membership	NOUN
cana-3484	94	22	functions	function	NOUN
cana-3484	94	23	.	.	PUNCT
cana-3484	95	1	2.5	2.5	NUM
cana-3484	95	2	applications	application	NOUN
cana-3484	95	3	of	of	ADP
cana-3484	95	4	generalized	generalized	ADJ
cana-3484	95	5	quadratic	quadratic	ADJ
cana-3484	95	6	fuzzy	fuzzy	ADJ
cana-3484	95	7	numbers	number	NOUN
cana-3484	95	8	2.5.1	2.5.1	NUM
cana-3484	95	9	engineering	engineering	NOUN
cana-3484	95	10	:	:	PUNCT
cana-3484	95	11	gqfns	gqfns	NOUN
cana-3484	95	12	are	be	AUX
cana-3484	95	13	used	use	VERB
cana-3484	95	14	in	in	ADP
cana-3484	95	15	control	control	NOUN
cana-3484	95	16	systems	system	NOUN
cana-3484	95	17	and	and	CCONJ
cana-3484	95	18	optimization	optimization	NOUN
cana-3484	95	19	,	,	PUNCT
cana-3484	95	20	where	where	SCONJ
cana-3484	95	21	systems	system	NOUN
cana-3484	95	22	may	may	AUX
cana-3484	95	23	have	have	VERB
cana-3484	95	24	complex	complex	ADJ
cana-3484	95	25	,	,	PUNCT
cana-3484	95	26	uncertain	uncertain	ADJ
cana-3484	95	27	inputs	input	NOUN
cana-3484	95	28	that	that	PRON
cana-3484	95	29	are	be	AUX
cana-3484	95	30	better	well	ADV
cana-3484	95	31	captured	capture	VERB
cana-3484	95	32	with	with	ADP
cana-3484	95	33	quadratic	quadratic	ADJ
cana-3484	95	34	models	model	NOUN
cana-3484	95	35	.	.	PUNCT
cana-3484	96	1	2.5.2	2.5.2	NUM
cana-3484	96	2	decision	decision	NOUN
cana-3484	96	3	-	-	PUNCT
cana-3484	96	4	making	make	VERB
cana-3484	96	5	and	and	CCONJ
cana-3484	96	6	risk	risk	VERB
cana-3484	96	7	analysis	analysis	NOUN
cana-3484	96	8	:	:	PUNCT
cana-3484	96	9	gqfns	gqfns	NOUN
cana-3484	96	10	provide	provide	VERB
cana-3484	96	11	a	a	DET
cana-3484	96	12	refined	refined	ADJ
cana-3484	96	13	approach	approach	NOUN
cana-3484	96	14	in	in	ADP
cana-3484	96	15	risk	risk	NOUN
cana-3484	96	16	assessment	assessment	NOUN
cana-3484	96	17	,	,	PUNCT
cana-3484	96	18	where	where	SCONJ
cana-3484	96	19	the	the	DET
cana-3484	96	20	uncertain	uncertain	ADJ
cana-3484	96	21	or	or	CCONJ
cana-3484	96	22	ambiguous	ambiguous	ADJ
cana-3484	96	23	nature	nature	NOUN
cana-3484	96	24	of	of	ADP
cana-3484	96	25	risk	risk	NOUN
cana-3484	96	26	factors	factor	NOUN
cana-3484	96	27	can	can	AUX
cana-3484	96	28	be	be	AUX
cana-3484	96	29	better	well	ADV
cana-3484	96	30	quantified	quantify	VERB
cana-3484	96	31	.	.	PUNCT
cana-3484	97	1	2.5.3	2.5.3	NUM
cana-3484	97	2	medical	medical	ADJ
cana-3484	97	3	diagnosis	diagnosis	NOUN
cana-3484	97	4	:	:	PUNCT
cana-3484	97	5	in	in	ADP
cana-3484	97	6	medical	medical	ADJ
cana-3484	97	7	fields	field	NOUN
cana-3484	97	8	,	,	PUNCT
cana-3484	97	9	where	where	SCONJ
cana-3484	97	10	patient	patient	ADJ
cana-3484	97	11	data	datum	NOUN
cana-3484	97	12	may	may	AUX
cana-3484	97	13	not	not	PART
cana-3484	97	14	be	be	AUX
cana-3484	97	15	clear	clear	ADV
cana-3484	97	16	-	-	PUNCT
cana-3484	97	17	cut	cut	VERB
cana-3484	97	18	,	,	PUNCT
cana-3484	97	19	gqfns	gqfns	NOUN
cana-3484	97	20	offer	offer	VERB
cana-3484	97	21	an	an	DET
cana-3484	97	22	enhanced	enhance	VERB
cana-3484	97	23	representation	representation	NOUN
cana-3484	97	24	of	of	ADP
cana-3484	97	25	uncertainty	uncertainty	NOUN
cana-3484	97	26	in	in	ADP
cana-3484	97	27	diagnostic	diagnostic	ADJ
cana-3484	97	28	values	value	NOUN
cana-3484	97	29	,	,	PUNCT
cana-3484	97	30	enhancing	enhance	VERB
cana-3484	97	31	interpretability	interpretability	NOUN
cana-3484	97	32	.	.	PUNCT
cana-3484	98	1	2.5.4	2.5.4	NUM
cana-3484	98	2	economics	economic	NOUN
cana-3484	98	3	and	and	CCONJ
cana-3484	98	4	finance	finance	NOUN
cana-3484	98	5	:	:	PUNCT
cana-3484	98	6	in	in	ADP
cana-3484	98	7	financial	financial	ADJ
cana-3484	98	8	modelling	modelling	NOUN
cana-3484	98	9	,	,	PUNCT
cana-3484	98	10	gqfns	gqfns	NOUN
cana-3484	98	11	help	help	NOUN
cana-3484	98	12	in	in	ADP
cana-3484	98	13	dealing	deal	VERB
cana-3484	98	14	with	with	ADP
cana-3484	98	15	market	market	NOUN
cana-3484	98	16	uncertainties	uncertainty	NOUN
cana-3484	98	17	,	,	PUNCT
cana-3484	98	18	providing	provide	VERB
cana-3484	98	19	more	more	ADV
cana-3484	98	20	robust	robust	ADJ
cana-3484	98	21	predictions	prediction	NOUN
cana-3484	98	22	by	by	ADP
cana-3484	98	23	capturing	capture	VERB
cana-3484	98	24	nonlinear	nonlinear	ADJ
cana-3484	98	25	variations	variation	NOUN
cana-3484	98	26	.	.	PUNCT
cana-3484	99	1			ADJ
cana-3484	99	2			ADP
cana-3484	99	3			PROPN
cana-3484	99	4			NUM
cana-3484	99	5			NUM
cana-3484	99	6			ADP
cana-3484	99	7	+−+−	+−+−	PROPN
cana-3484	99	8	=	=	PUNCT
cana-3484	99	9	otherwise	otherwise	ADV
cana-3484	99	10	rnmlxedxbcxa	rnmlxedxbcxa	VERB
cana-3484	99	11	x	x	PUNCT
cana-3484	99	12	0	0	NUM
cana-3484	99	13	,	,	PUNCT
cana-3484	99	14	,	,	PUNCT
cana-3484	99	15	,	,	PUNCT
cana-3484	99	16	~	~	NUM
cana-3484	99	17	)	)	PUNCT
cana-3484	99	18	~	~	PUNCT
cana-3484	99	19	(	(	PUNCT
cana-3484	99	20	~2)~(~	~2)~(~	NUM
cana-3484	99	21	)	)	PUNCT
cana-3484	99	22	(	(	PUNCT
cana-3484	99	23	~	~	PROPN
cana-3484	99	24	communications	communication	NOUN
cana-3484	99	25	on	on	ADP
cana-3484	99	26	applied	apply	VERB
cana-3484	99	27	nonlinear	nonlinear	ADJ
cana-3484	99	28	analysis	analysis	NOUN
cana-3484	99	29	issn	issn	NOUN
cana-3484	99	30	:	:	PUNCT
cana-3484	99	31	1074	1074	NUM
cana-3484	99	32	-	-	PUNCT
cana-3484	99	33	133x	133x	NUM
cana-3484	99	34	vol	vol	NOUN
cana-3484	99	35	32	32	NUM
cana-3484	99	36	no	no	NOUN
cana-3484	99	37	.	.	PUNCT
cana-3484	100	1	7s	7	NOUN
cana-3484	100	2	(	(	PUNCT
cana-3484	100	3	2025	2025	NUM
cana-3484	100	4	)	)	PUNCT
cana-3484	100	5	769	769	NUM
cana-3484	100	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-3484	100	7	2.6	2.6	NUM
cana-3484	100	8	definition	definition	NOUN
cana-3484	100	9	:	:	PUNCT
cana-3484	100	10	piecewise	piecewise	NOUN
cana-3484	100	11	quadratic	quadratic	ADJ
cana-3484	100	12	fuzzy	fuzzy	ADJ
cana-3484	100	13	numbers	number	NOUN
cana-3484	100	14	in	in	ADP
cana-3484	100	15	essence	essence	NOUN
cana-3484	100	16	,	,	PUNCT
cana-3484	100	17	a	a	DET
cana-3484	100	18	piecewise	piecewise	NOUN
cana-3484	100	19	quadratic	quadratic	ADJ
cana-3484	100	20	fuzzy	fuzzy	ADJ
cana-3484	100	21	number	number	NOUN
cana-3484	100	22	a	a	PRON
cana-3484	100	23	is	be	AUX
cana-3484	100	24	a	a	DET
cana-3484	100	25	fuzzy	fuzzy	ADJ
cana-3484	100	26	number	number	NOUN
cana-3484	100	27	that	that	PRON
cana-3484	100	28	)	)	PUNCT
cana-3484	100	29	,	,	PUNCT
cana-3484	100	30	,	,	PUNCT
cana-3484	100	31	,	,	PUNCT
cana-3484	100	32	,	,	PUNCT
cana-3484	100	33	(	(	PUNCT
cana-3484	100	34	~	~	PUNCT
cana-3484	100	35	54321	54321	NUM
cana-3484	100	36	llllla=	llllla=	NUM
cana-3484	100	37	is	be	AUX
cana-3484	100	38	represented	represent	VERB
cana-3484	100	39	by	by	ADP
cana-3484	100	40	the	the	DET
cana-3484	100	41	membership	membership	NOUN
cana-3484	100	42	function	function	NOUN
cana-3484	100	43	.	.	PUNCT
cana-3484	101	1	2	2	NUM
cana-3484	101	2	1	1	NUM
cana-3484	101	3	1	1	NUM
cana-3484	101	4	22	22	NUM
cana-3484	101	5	2	2	NUM
cana-3484	101	6	1	1	NUM
cana-3484	101	7	2	2	NUM
cana-3484	101	8	3	3	NUM
cana-3484	101	9	2	2	NUM
cana-3484	101	10	32	32	NUM
cana-3484	101	11	3	3	NUM
cana-3484	101	12	2	2	NUM
cana-3484	101	13	2	2	NUM
cana-3484	101	14	3	3	NUM
cana-3484	101	15	3	3	NUM
cana-3484	101	16	42	42	NUM
cana-3484	101	17	4	4	NUM
cana-3484	101	18	3	3	NUM
cana-3484	101	19	2	2	NUM
cana-3484	101	20	5	5	NUM
cana-3484	101	21	4	4	NUM
cana-3484	101	22	52	52	NUM
cana-3484	101	23	5	5	NUM
cana-3484	101	24	4	4	NUM
cana-3484	101	25	1	1	NUM
cana-3484	101	26	(	(	PUNCT
cana-3484	101	27	)	)	PUNCT
cana-3484	101	28	2	2	NUM
cana-3484	101	29	(	(	PUNCT
cana-3484	101	30	)	)	PUNCT
cana-3484	101	31	1	1	NUM
cana-3484	101	32	(	(	PUNCT
cana-3484	101	33	)	)	PUNCT
cana-3484	101	34	1	1	NUM
cana-3484	101	35	2	2	NUM
cana-3484	101	36	(	(	PUNCT
cana-3484	101	37	)	)	PUNCT
cana-3484	101	38	1	1	NUM
cana-3484	101	39	(	(	PUNCT
cana-3484	101	40	)	)	PUNCT
cana-3484	101	41	(	(	PUNCT
cana-3484	101	42	)	)	PUNCT
cana-3484	101	43	1	1	NUM
cana-3484	101	44	2	2	NUM
cana-3484	101	45	(	(	PUNCT
cana-3484	101	46	)	)	PUNCT
cana-3484	101	47	1	1	NUM
cana-3484	101	48	(	(	PUNCT
cana-3484	101	49	)	)	PUNCT
cana-3484	101	50	2	2	NUM
cana-3484	101	51	(	(	PUNCT
cana-3484	101	52	)	)	PUNCT
cana-3484	101	53	0	0	PUNCT
cana-3484	102	1	a	a	DET
cana-3484	102	2	x	x	X
cana-3484	102	3	l	l	NOUN
cana-3484	102	4	for	for	ADP
cana-3484	102	5	l	l	NOUN
cana-3484	102	6	x	x	X
cana-3484	103	1	l	l	NOUN
cana-3484	103	2	l	l	X
cana-3484	103	3	l	l	NOUN
cana-3484	103	4	x	x	X
cana-3484	103	5	l	l	NOUN
cana-3484	103	6	for	for	ADP
cana-3484	103	7	l	l	NOUN
cana-3484	103	8	x	x	X
cana-3484	104	1	l	l	NOUN
cana-3484	104	2	l	l	X
cana-3484	104	3	l	l	NOUN
cana-3484	104	4	x	x	PUNCT
cana-3484	104	5	x	x	PUNCT
cana-3484	104	6	l	l	NOUN
cana-3484	104	7	for	for	ADP
cana-3484	104	8	l	l	NOUN
cana-3484	104	9	x	x	X
cana-3484	105	1	l	l	NOUN
cana-3484	105	2	l	l	X
cana-3484	105	3	l	l	NOUN
cana-3484	105	4	x	x	X
cana-3484	105	5	l	l	NOUN
cana-3484	105	6	for	for	ADP
cana-3484	105	7	l	l	NOUN
cana-3484	105	8	x	x	X
cana-3484	105	9	l	l	NOUN
cana-3484	105	10	l	l	X
cana-3484	105	11	l	l	NOUN
cana-3484	105	12	otherwise	otherwise	ADV
cana-3484	105	13			NOUN
cana-3484	105	14			ADP
cana-3484	105	15	−	−	NOUN
cana-3484	105	16			NOUN
cana-3484	105	17			NOUN
cana-3484	105	18	−	−	NOUN
cana-3484	106	1			NUM
cana-3484	106	2			NUM
cana-3484	106	3	−	−	PROPN
cana-3484	106	4	+	+	NUM
cana-3484	106	5			NOUN
cana-3484	106	6			ADV
cana-3484	106	7	−	−	NOUN
cana-3484	106	8			NUM
cana-3484	106	9			NUM
cana-3484	106	10	=	=	SYM
cana-3484	106	11	−	−	PROPN
cana-3484	107	1	+	+	NOUN
cana-3484	107	2			NOUN
cana-3484	107	3			VERB
cana-3484	107	4	−	−	PROPN
cana-3484	107	5			NUM
cana-3484	107	6	−	−	PROPN
cana-3484	107	7			NOUN
cana-3484	107	8			NOUN
cana-3484	107	9	−	−	VERB
cana-3484	107	10			NUM
cana-3484	107	11			NUM
cana-3484	107	12			NOUN
cana-3484	107	13	the	the	DET
cana-3484	107	14	piecewise	piecewise	NOUN
cana-3484	107	15	quadratic	quadratic	ADJ
cana-3484	107	16	fuzzy	fuzzy	ADJ
cana-3484	107	17	number	number	NOUN
cana-3484	107	18	is	be	AUX
cana-3484	107	19	a	a	DET
cana-3484	107	20	bell	bell	NOUN
cana-3484	107	21	shaped	shape	VERB
cana-3484	107	22	curve	curve	NOUN
cana-3484	107	23	symmetric	symmetric	NOUN
cana-3484	107	24	about	about	ADP
cana-3484	107	25	the	the	DET
cana-3484	107	26	line	line	NOUN
cana-3484	107	27	3x	3x	NUM
cana-3484	107	28	l=	l=	ADV
cana-3484	107	29	,	,	PUNCT
cana-3484	107	30	possess	possess	VERB
cana-3484	107	31	a	a	DET
cana-3484	107	32	supporting	support	VERB
cana-3484	107	33	interval	interval	NOUN
cana-3484	107	34			NOUN
cana-3484	107	35	1	1	PROPN
cana-3484	107	36	5,l	5,l	NUM
cana-3484	107	37	l	l	NOUN
cana-3484	107	38	.moreover	.moreover	NOUN
cana-3484	107	39	,	,	PUNCT
cana-3484	107	40	3	3	NUM
cana-3484	107	41	1	1	NUM
cana-3484	107	42	5	5	NUM
cana-3484	107	43	1	1	NUM
cana-3484	107	44	(	(	PUNCT
cana-3484	107	45	)	)	PUNCT
cana-3484	107	46	2	2	NUM
cana-3484	107	47	l	l	NOUN
cana-3484	107	48	l	l	NOUN
cana-3484	107	49	l=	l=	NOUN
cana-3484	107	50	+	+	CCONJ
cana-3484	107	51	and	and	CCONJ
cana-3484	107	52	3	3	NUM
cana-3484	107	53	2	2	NUM
cana-3484	107	54	4	4	NUM
cana-3484	107	55	3l	3l	NUM
cana-3484	107	56	l	l	NOUN
cana-3484	107	57	l	l	NOUN
cana-3484	107	58	l−	l−	NOUN
cana-3484	107	59	=	=	SYM
cana-3484	107	60	−	−	PROPN
cana-3484	107	61	.	.	PUNCT
cana-3484	108	1	the	the	DET
cana-3484	108	2			NOUN
cana-3484	108	3	-cut	-cut	VERB
cana-3484	108	4	for	for	ADP
cana-3484	108	5	1	1	NUM
cana-3484	108	6	2	2	NUM
cana-3484	108	7			NOUN
cana-3484	108	8	=	=	PUNCT
cana-3484	108	9	between	between	ADP
cana-3484	108	10	the	the	DET
cana-3484	108	11	points	point	NOUN
cana-3484	108	12	2	2	NUM
cana-3484	108	13	4	4	NUM
cana-3484	108	14	(	(	PUNCT
cana-3484	108	15	,	,	PUNCT
cana-3484	108	16	)	)	PUNCT
cana-3484	108	17	l	l	NOUN
cana-3484	108	18	l	l	NOUN
cana-3484	108	19	and	and	CCONJ
cana-3484	108	20	they	they	PRON
cana-3484	108	21	are	be	AUX
cana-3484	108	22	called	call	VERB
cana-3484	108	23	cross	cross	NOUN
cana-3484	108	24	over	over	ADP
cana-3484	108	25	points	point	NOUN
cana-3484	108	26	.	.	PUNCT
cana-3484	109	1	the	the	DET
cana-3484	109	2	interval	interval	NOUN
cana-3484	109	3	of	of	ADP
cana-3484	109	4	confidence	confidence	NOUN
cana-3484	109	5	at	at	ADP
cana-3484	109	6	level	level	NOUN
cana-3484	109	7			NOUN
cana-3484	109	8	is	be	AUX
cana-3484	109	9	given	give	VERB
cana-3484	109	10	to	to	PART
cana-3484	109	11	be	be	AUX
cana-3484	109	12			PROPN
cana-3484	109	13	1	1	NOUN
cana-3484	109	14	3	3	NUM
cana-3484	109	15	1	1	NUM
cana-3484	109	16	5	5	NUM
cana-3484	109	17	5	5	NUM
cana-3484	109	18	3	3	NUM
cana-3484	109	19	(	(	PUNCT
cana-3484	109	20	)	)	PUNCT
cana-3484	109	21	,	,	PUNCT
cana-3484	109	22	(	(	PUNCT
cana-3484	109	23	)	)	PUNCT
cana-3484	109	24	a	a	DET
cana-3484	109	25	l	l	NOUN
cana-3484	109	26	l	l	NOUN
cana-3484	109	27	l	l	NOUN
cana-3484	109	28	l	l	NOUN
cana-3484	109	29	l	l	NOUN
cana-3484	109	30	l	l	NOUN
cana-3484	109	31			NOUN
cana-3484	109	32	=	=	ADJ
cana-3484	109	33	+	+	CCONJ
cana-3484	109	34	−	−	PROPN
cana-3484	109	35	−	−	NOUN
cana-3484	109	36	−	−	NOUN
cana-3484	109	37	.	.	PUNCT
cana-3484	110	1	2.7	2.7	NUM
cana-3484	110	2	arithmetic	arithmetic	ADJ
cana-3484	110	3	operations	operation	NOUN
cana-3484	110	4	the	the	DET
cana-3484	110	5	following	follow	VERB
cana-3484	110	6	presents	present	VERB
cana-3484	110	7	these	these	DET
cana-3484	110	8	arithmetic	arithmetic	ADJ
cana-3484	110	9	operations	operation	NOUN
cana-3484	110	10	as	as	SCONJ
cana-3484	110	11	they	they	PRON
cana-3484	110	12	apply	apply	VERB
cana-3484	110	13	to	to	ADP
cana-3484	110	14	pqfn.let	pqfn.let	X
cana-3484	110	15	1	1	NUM
cana-3484	110	16	2	2	NUM
cana-3484	110	17	3	3	NUM
cana-3484	110	18	4	4	NUM
cana-3484	110	19	5	5	NUM
cana-3484	110	20	(	(	PUNCT
cana-3484	110	21	,	,	PUNCT
cana-3484	110	22	,	,	PUNCT
cana-3484	110	23	,	,	PUNCT
cana-3484	110	24	,	,	PUNCT
cana-3484	110	25	)	)	PUNCT
cana-3484	110	26	a	a	DET
cana-3484	110	27	l	l	NOUN
cana-3484	110	28	l	l	NOUN
cana-3484	110	29	l	l	NOUN
cana-3484	110	30	l	l	NOUN
cana-3484	110	31	l=	l=	ADJ
cana-3484	110	32	and	and	CCONJ
cana-3484	110	33	1	1	NUM
cana-3484	110	34	2	2	NUM
cana-3484	110	35	3	3	NUM
cana-3484	110	36	4	4	NUM
cana-3484	110	37	5	5	NUM
cana-3484	110	38	(	(	PUNCT
cana-3484	110	39	,	,	PUNCT
cana-3484	110	40	,	,	PUNCT
cana-3484	110	41	,	,	PUNCT
cana-3484	110	42	,	,	PUNCT
cana-3484	110	43	)	)	PUNCT
cana-3484	110	44	b	b	X
cana-3484	110	45	m	m	VERB
cana-3484	110	46	m	m	VERB
cana-3484	110	47	m	m	VERB
cana-3484	110	48	m	m	VERB
cana-3484	110	49	m=	m=	X
cana-3484	110	50	are	be	AUX
cana-3484	110	51	two	two	NUM
cana-3484	110	52	piecewise	piecewise	NOUN
cana-3484	110	53	quadratic	quadratic	ADJ
cana-3484	110	54	fuzzy	fuzzy	ADJ
cana-3484	110	55	numbers	number	NOUN
cana-3484	110	56	,	,	PUNCT
cana-3484	110	57	then	then	ADV
cana-3484	110	58	the	the	DET
cana-3484	110	59	arithmetic	arithmetic	ADJ
cana-3484	110	60	operations	operation	NOUN
cana-3484	110	61	on	on	ADP
cana-3484	110	62	a	a	PRON
cana-3484	110	63	and	and	CCONJ
cana-3484	110	64	b	b	NOUN
cana-3484	110	65	are	be	AUX
cana-3484	110	66	given	give	VERB
cana-3484	110	67	as	as	SCONJ
cana-3484	110	68	follows	follow	VERB
cana-3484	110	69	:	:	PUNCT
cana-3484	110	70	(	(	PUNCT
cana-3484	110	71	i	i	NOUN
cana-3484	110	72	)	)	PUNCT
cana-3484	110	73	addition	addition	NOUN
cana-3484	110	74	:	:	PUNCT
cana-3484	110	75	1	1	NUM
cana-3484	110	76	1	1	NUM
cana-3484	110	77	2	2	NUM
cana-3484	110	78	2	2	NUM
cana-3484	110	79	3	3	NUM
cana-3484	110	80	3	3	NUM
cana-3484	110	81	4	4	NUM
cana-3484	110	82	4	4	NUM
cana-3484	110	83	5	5	NUM
cana-3484	110	84	5	5	NUM
cana-3484	110	85	(	(	PUNCT
cana-3484	110	86	,	,	PUNCT
cana-3484	110	87	,	,	PUNCT
cana-3484	110	88	,	,	PUNCT
cana-3484	110	89	,	,	PUNCT
cana-3484	110	90	)	)	PUNCT
cana-3484	110	91	a	a	DET
cana-3484	110	92	b	b	NOUN
cana-3484	110	93	l	l	NOUN
cana-3484	110	94	m	m	VERB
cana-3484	110	95	l	l	NOUN
cana-3484	110	96	m	m	VERB
cana-3484	110	97	l	l	NOUN
cana-3484	110	98	m	m	VERB
cana-3484	110	99	l	l	NOUN
cana-3484	110	100	m	m	VERB
cana-3484	110	101	l	l	NOUN
cana-3484	110	102	m+	m+	NOUN
cana-3484	111	1	=	=	PUNCT
cana-3484	112	1	+	+	PUNCT
cana-3484	113	1	+	+	PUNCT
cana-3484	113	2	+	+	PUNCT
cana-3484	113	3	+	+	PUNCT
cana-3484	113	4	+	+	CCONJ
cana-3484	113	5	(	(	PUNCT
cana-3484	113	6	ii	ii	NOUN
cana-3484	113	7	)	)	PUNCT
cana-3484	113	8	subtraction	subtraction	NOUN
cana-3484	113	9	:	:	PUNCT
cana-3484	113	10	1	1	NUM
cana-3484	113	11	5	5	NUM
cana-3484	113	12	2	2	NUM
cana-3484	113	13	4	4	NUM
cana-3484	113	14	3	3	NUM
cana-3484	113	15	3	3	NUM
cana-3484	113	16	4	4	NUM
cana-3484	113	17	2	2	NUM
cana-3484	113	18	5	5	NUM
cana-3484	113	19	1	1	NUM
cana-3484	113	20	(	(	PUNCT
cana-3484	113	21	,	,	PUNCT
cana-3484	113	22	,	,	PUNCT
cana-3484	113	23	,	,	PUNCT
cana-3484	113	24	,	,	PUNCT
cana-3484	113	25	)	)	PUNCT
cana-3484	113	26	a	a	DET
cana-3484	113	27	b	b	NOUN
cana-3484	113	28	l	l	NOUN
cana-3484	113	29	m	m	VERB
cana-3484	113	30	l	l	NOUN
cana-3484	113	31	m	m	VERB
cana-3484	113	32	l	l	NOUN
cana-3484	113	33	m	m	VERB
cana-3484	113	34	l	l	NOUN
cana-3484	113	35	m	m	VERB
cana-3484	113	36	l	l	NOUN
cana-3484	113	37	m−	m−	PROPN
cana-3484	113	38	=	=	PUNCT
cana-3484	114	1	−	−	PROPN
cana-3484	114	2	−	−	NUM
cana-3484	115	1	−	−	PROPN
cana-3484	115	2	−	−	PROPN
cana-3484	115	3	−	−	PROPN
cana-3484	115	4	(	(	PUNCT
cana-3484	115	5	iii	iii	NOUN
cana-3484	115	6	)	)	PUNCT
cana-3484	115	7	scalar	scalar	ADJ
cana-3484	115	8	multiplication	multiplication	NOUN
cana-3484	115	9	1	1	NUM
cana-3484	115	10	2	2	NUM
cana-3484	115	11	3	3	NUM
cana-3484	115	12	4	4	NUM
cana-3484	115	13	5	5	NUM
cana-3484	115	14	5	5	NUM
cana-3484	115	15	4	4	NUM
cana-3484	115	16	3	3	NUM
cana-3484	115	17	2	2	NUM
cana-3484	115	18	1	1	NUM
cana-3484	115	19	(	(	PUNCT
cana-3484	115	20	,	,	PUNCT
cana-3484	115	21	,	,	PUNCT
cana-3484	115	22	,	,	PUNCT
cana-3484	115	23	,	,	PUNCT
cana-3484	115	24	)	)	PUNCT
cana-3484	115	25	0	0	PUNCT
cana-3484	116	1	(	(	PUNCT
cana-3484	116	2	,	,	PUNCT
cana-3484	116	3	,	,	PUNCT
cana-3484	116	4	,	,	PUNCT
cana-3484	116	5	,	,	PUNCT
cana-3484	116	6	)	)	PUNCT
cana-3484	116	7	0	0	PUNCT
cana-3484	116	8	a	a	DET
cana-3484	116	9	l	l	NOUN
cana-3484	116	10	l	l	NOUN
cana-3484	116	11	l	l	NOUN
cana-3484	116	12	l	l	X
cana-3484	116	13	l	l	NOUN
cana-3484	116	14	for	for	ADP
cana-3484	116	15	a	a	DET
cana-3484	116	16	l	l	NOUN
cana-3484	116	17	l	l	NOUN
cana-3484	116	18	l	l	NOUN
cana-3484	116	19	l	l	X
cana-3484	116	20	l	l	NOUN
cana-3484	116	21	for	for	ADP
cana-3484	116	22			ADJ
cana-3484	116	23			ADJ
cana-3484	116	24			ADJ
cana-3484	116	25			ADJ
cana-3484	116	26			ADJ
cana-3484	116	27			ADJ
cana-3484	116	28			ADJ
cana-3484	116	29			ADJ
cana-3484	116	30			ADJ
cana-3484	116	31			ADJ
cana-3484	116	32			ADJ
cana-3484	116	33			ADJ
cana-3484	116	34			ADJ
cana-3484	116	35			ADJ
cana-3484	116	36	=	=	SYM
cana-3484	116	37			NOUN
cana-3484	116	38	=	=	PUNCT
cana-3484	116	39			PROPN
cana-3484	116	40	(	(	PUNCT
cana-3484	116	41	iv	iv	X
cana-3484	116	42	)	)	PUNCT
cana-3484	116	43	multiplication	multiplication	NOUN
cana-3484	116	44	:	:	PUNCT
cana-3484	116	45	5	5	NUM
cana-3484	116	46	1	1	NUM
cana-3484	116	47	1	1	NUM
cana-3484	116	48	5	5	NUM
cana-3484	116	49	4	4	NUM
cana-3484	116	50	2	2	NUM
cana-3484	116	51	2	2	NUM
cana-3484	116	52	4	4	NUM
cana-3484	116	53	3	3	NUM
cana-3484	116	54	3	3	NUM
cana-3484	116	55	2	2	NUM
cana-3484	116	56	2	2	NUM
cana-3484	116	57	4	4	NUM
cana-3484	116	58	4	4	NUM
cana-3484	116	59	1	1	NUM
cana-3484	116	60	1	1	NUM
cana-3484	116	61	5	5	NUM
cana-3484	116	62	5	5	NUM
cana-3484	116	63	1	1	NUM
cana-3484	116	64	1	1	NUM
cana-3484	116	65	1	1	NUM
cana-3484	116	66	1	1	NUM
cana-3484	116	67	.	.	PUNCT
cana-3484	117	1	(	(	PUNCT
cana-3484	117	2	(	(	PUNCT
cana-3484	117	3	)	)	PUNCT
cana-3484	117	4	,	,	PUNCT
cana-3484	117	5	(	(	PUNCT
cana-3484	117	6	)	)	PUNCT
cana-3484	117	7	,	,	PUNCT
cana-3484	117	8	,	,	PUNCT
cana-3484	117	9	(	(	PUNCT
cana-3484	117	10	)	)	PUNCT
cana-3484	117	11	,	,	PUNCT
cana-3484	117	12	(	(	PUNCT
cana-3484	117	13	)	)	PUNCT
cana-3484	117	14	)	)	PUNCT
cana-3484	117	15	2	2	NUM
cana-3484	117	16	2	2	NUM
cana-3484	117	17	2	2	NUM
cana-3484	117	18	2	2	NUM
cana-3484	117	19	a	a	DET
cana-3484	117	20	b	b	NOUN
cana-3484	117	21	l	l	NOUN
cana-3484	117	22	m	m	NOUN
cana-3484	117	23	l	l	NOUN
cana-3484	117	24	m	m	VERB
cana-3484	117	25	l	l	NOUN
cana-3484	117	26	m	m	VERB
cana-3484	117	27	l	l	NOUN
cana-3484	117	28	m	m	VERB
cana-3484	117	29	l	l	NOUN
cana-3484	117	30	m	m	VERB
cana-3484	117	31	l	l	NOUN
cana-3484	117	32	m	m	VERB
cana-3484	117	33	l	l	NOUN
cana-3484	117	34	m	m	VERB
cana-3484	117	35	l	l	NOUN
cana-3484	117	36	m	m	VERB
cana-3484	117	37	l	l	NOUN
cana-3484	117	38	m=	m=	X
cana-3484	118	1	+	+	PUNCT
cana-3484	119	1	+	+	PUNCT
cana-3484	119	2	+	+	CCONJ
cana-3484	119	3	+	+	NUM
cana-3484	119	4	communications	communication	NOUN
cana-3484	119	5	on	on	ADP
cana-3484	119	6	applied	apply	VERB
cana-3484	119	7	nonlinear	nonlinear	ADJ
cana-3484	119	8	analysis	analysis	NOUN
cana-3484	119	9	issn	issn	NOUN
cana-3484	119	10	:	:	PUNCT
cana-3484	119	11	1074	1074	NUM
cana-3484	119	12	-	-	PUNCT
cana-3484	119	13	133x	133x	NUM
cana-3484	119	14	vol	vol	NOUN
cana-3484	119	15	32	32	NUM
cana-3484	119	16	no	no	NOUN
cana-3484	119	17	.	.	PUNCT
cana-3484	120	1	7s	7	NOUN
cana-3484	120	2	(	(	PUNCT
cana-3484	120	3	2025	2025	NUM
cana-3484	120	4	)	)	PUNCT
cana-3484	120	5	770	770	NUM
cana-3484	120	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	120	7	(	(	PUNCT
cana-3484	120	8	v	v	NOUN
cana-3484	120	9	)	)	PUNCT
cana-3484	120	10	division	division	NOUN
cana-3484	120	11	3	3	NUM
cana-3484	120	12	51	51	NUM
cana-3484	120	13	2	2	NUM
cana-3484	120	14	4	4	NUM
cana-3484	120	15	1	1	NUM
cana-3484	120	16	5	5	NUM
cana-3484	120	17	2	2	NUM
cana-3484	120	18	4	4	NUM
cana-3484	120	19	3	3	NUM
cana-3484	120	20	2	2	NUM
cana-3484	120	21	4	4	NUM
cana-3484	120	22	1	1	NUM
cana-3484	120	23	5	5	NUM
cana-3484	120	24	22	22	NUM
cana-3484	120	25	2	2	NUM
cana-3484	120	26	2	2	NUM
cana-3484	120	27	,	,	PUNCT
cana-3484	120	28	,	,	PUNCT
cana-3484	120	29	,	,	PUNCT
cana-3484	120	30	,	,	PUNCT
cana-3484	120	31	l	l	PROPN
cana-3484	120	32	ll	ll	AUX
cana-3484	120	33	l	l	PROPN
cana-3484	120	34	la	la	PROPN
cana-3484	120	35	b	b	PROPN
cana-3484	120	36	m	m	VERB
cana-3484	120	37	m	m	VERB
cana-3484	120	38	m	m	VERB
cana-3484	120	39	m	m	VERB
cana-3484	120	40	m	m	VERB
cana-3484	120	41	m	m	VERB
cana-3484	120	42	m	m	VERB
cana-3484	120	43	m	m	VERB
cana-3484	120	44	m	m	VERB
cana-3484	121	1			NOUN
cana-3484	121	2			NOUN
cana-3484	121	3	=	=	SYM
cana-3484	121	4			PROPN
cana-3484	122	1			PROPN
cana-3484	123	1	+	+	PUNCT
cana-3484	124	1	+	+	PUNCT
cana-3484	124	2	+	+	CCONJ
cana-3484	124	3	+	+	ADJ
cana-3484	124	4			ADJ
cana-3484	124	5			NOUN
cana-3484	124	6	(	(	PUNCT
cana-3484	124	7	if	if	SCONJ
cana-3484	124	8	all	all	DET
cana-3484	124	9	m	m	VERB
cana-3484	124	10	’s	’s	PART
cana-3484	124	11	are	be	AUX
cana-3484	124	12	non	non	ADJ
cana-3484	124	13	-	-	ADJ
cana-3484	124	14	zero	zero	NUM
cana-3484	124	15	)	)	PUNCT
cana-3484	124	16	5	5	NUM
cana-3484	124	17	34	34	NUM
cana-3484	124	18	2	2	NUM
cana-3484	124	19	1	1	NUM
cana-3484	124	20	1	1	NUM
cana-3484	124	21	5	5	NUM
cana-3484	124	22	2	2	NUM
cana-3484	124	23	4	4	NUM
cana-3484	124	24	3	3	NUM
cana-3484	124	25	2	2	NUM
cana-3484	124	26	4	4	NUM
cana-3484	124	27	1	1	NUM
cana-3484	124	28	5	5	NUM
cana-3484	124	29	2	2	NUM
cana-3484	124	30	2	2	NUM
cana-3484	124	31	2	2	NUM
cana-3484	124	32	2	2	NUM
cana-3484	124	33	,	,	PUNCT
cana-3484	124	34	,	,	PUNCT
cana-3484	124	35	,	,	PUNCT
cana-3484	124	36	,	,	PUNCT
cana-3484	124	37	a	a	DET
cana-3484	124	38	aa	aa	NOUN
cana-3484	124	39	a	a	DET
cana-3484	124	40	aa	aa	NOUN
cana-3484	124	41	b	b	PROPN
cana-3484	124	42	b	b	PROPN
cana-3484	124	43	b	b	PROPN
cana-3484	124	44	b	b	PROPN
cana-3484	124	45	b	b	PROPN
cana-3484	124	46	b	b	PROPN
cana-3484	124	47	b	b	PROPN
cana-3484	124	48	b	b	PROPN
cana-3484	124	49	b	b	PROPN
cana-3484	124	50	b	b	PROPN
cana-3484	124	51			NOUN
cana-3484	124	52			NOUN
cana-3484	124	53	=	=	SYM
cana-3484	124	54			PROPN
cana-3484	124	55			PROPN
cana-3484	125	1	+	+	PUNCT
cana-3484	126	1	+	+	PUNCT
cana-3484	126	2	+	+	CCONJ
cana-3484	126	3	+	+	ADJ
cana-3484	126	4			ADJ
cana-3484	126	5			NOUN
cana-3484	126	6	(	(	PUNCT
cana-3484	126	7	if	if	SCONJ
cana-3484	126	8	b	b	NOUN
cana-3484	126	9	is	be	AUX
cana-3484	126	10	negative	negative	ADJ
cana-3484	126	11	and	and	CCONJ
cana-3484	126	12	all	all	PRON
cana-3484	126	13	i	i	PRON
cana-3484	126	14	m	m	VERB
cana-3484	126	15	’s	’	VERB
cana-3484	126	16	are	be	AUX
cana-3484	126	17	non	non	ADJ
cana-3484	126	18	-	-	ADJ
cana-3484	126	19	zero	zero	NUM
cana-3484	126	20	)	)	PUNCT
cana-3484	126	21	3	3	NUM
cana-3484	126	22	.	.	X
cana-3484	127	1	algorithms	algorithms	PROPN
cana-3484	127	2	3.1	3.1	NUM
cana-3484	127	3	.	.	PUNCT
cana-3484	127	4	algorithm	algorithm	NOUN
cana-3484	127	5	for	for	ADP
cana-3484	127	6	solving	solve	VERB
cana-3484	127	7	a	a	DET
cana-3484	127	8	balanced	balanced	ADJ
cana-3484	127	9	or	or	CCONJ
cana-3484	127	10	unbalanced	unbalanced	ADJ
cana-3484	127	11	transportation	transportation	NOUN
cana-3484	127	12	problems	problem	NOUN
cana-3484	127	13	by	by	ADP
cana-3484	127	14	using	use	VERB
cana-3484	127	15	piecewise	piecewise	NOUN
cana-3484	127	16	quadratic	quadratic	ADJ
cana-3484	127	17	vam	vam	NOUN
cana-3484	127	18	step	step	NOUN
cana-3484	127	19	1	1	NUM
cana-3484	127	20	:	:	PUNCT
cana-3484	127	21	formulate	formulate	VERB
cana-3484	127	22	the	the	DET
cana-3484	127	23	transportation	transportation	NOUN
cana-3484	127	24	problem	problem	NOUN
cana-3484	127	25	formulate	formulate	VERB
cana-3484	127	26	the	the	DET
cana-3484	127	27	transportation	transportation	NOUN
cana-3484	127	28	problem	problem	NOUN
cana-3484	127	29	in	in	ADP
cana-3484	127	30	matrix	matrix	NOUN
cana-3484	127	31	form	form	NOUN
cana-3484	127	32	:	:	PUNCT
cana-3484	127	33	represent	represent	VERB
cana-3484	127	34	the	the	DET
cana-3484	127	35	problem	problem	NOUN
cana-3484	127	36	as	as	ADP
cana-3484	127	37	a	a	DET
cana-3484	127	38	matrix	matrix	NOUN
cana-3484	127	39	,	,	PUNCT
cana-3484	127	40	where	where	SCONJ
cana-3484	127	41	rows	row	NOUN
cana-3484	127	42	correspond	correspond	VERB
cana-3484	127	43	to	to	PART
cana-3484	127	44	supply	supply	VERB
cana-3484	127	45	sources	source	NOUN
cana-3484	127	46	and	and	CCONJ
cana-3484	127	47	columns	column	NOUN
cana-3484	127	48	correspond	correspond	VERB
cana-3484	127	49	to	to	PART
cana-3484	127	50	demand	demand	VERB
cana-3484	127	51	destinations	destination	NOUN
cana-3484	127	52	.	.	PUNCT
cana-3484	128	1	each	each	DET
cana-3484	128	2	element	element	NOUN
cana-3484	128	3	in	in	ADP
cana-3484	128	4	the	the	DET
cana-3484	128	5	matrix	matrix	NOUN
cana-3484	128	6	represents	represent	VERB
cana-3484	128	7	the	the	DET
cana-3484	128	8	transportation	transportation	NOUN
cana-3484	128	9	cost	cost	NOUN
cana-3484	128	10	between	between	ADP
cana-3484	128	11	a	a	DET
cana-3484	128	12	source	source	NOUN
cana-3484	128	13	and	and	CCONJ
cana-3484	128	14	a	a	DET
cana-3484	128	15	destination	destination	NOUN
cana-3484	128	16	.	.	PUNCT
cana-3484	129	1	check	check	VERB
cana-3484	129	2	if	if	SCONJ
cana-3484	129	3	the	the	DET
cana-3484	129	4	problem	problem	NOUN
cana-3484	129	5	is	be	AUX
cana-3484	129	6	balanced	balanced	ADJ
cana-3484	129	7	:	:	PUNCT
cana-3484	129	8	(	(	PUNCT
cana-3484	129	9	i	i	NOUN
cana-3484	129	10	)	)	PUNCT
cana-3484	129	11	balanced	balanced	ADJ
cana-3484	129	12	problem	problem	NOUN
cana-3484	129	13	:	:	PUNCT
cana-3484	129	14	total	total	ADJ
cana-3484	129	15	supply	supply	NOUN
cana-3484	129	16	equals	equal	VERB
cana-3484	129	17	total	total	ADJ
cana-3484	129	18	demand	demand	NOUN
cana-3484	129	19	.	.	PUNCT
cana-3484	130	1	(	(	PUNCT
cana-3484	130	2	ii	ii	NOUN
cana-3484	130	3	)	)	PUNCT
cana-3484	130	4	unbalanced	unbalanced	ADJ
cana-3484	130	5	problem	problem	NOUN
cana-3484	130	6	:	:	PUNCT
cana-3484	130	7	total	total	ADJ
cana-3484	130	8	supply	supply	NOUN
cana-3484	130	9	does	do	AUX
cana-3484	130	10	not	not	PART
cana-3484	130	11	equal	equal	VERB
cana-3484	130	12	total	total	ADJ
cana-3484	130	13	demand	demand	NOUN
cana-3484	130	14	.	.	PUNCT
cana-3484	131	1	if	if	SCONJ
cana-3484	131	2	unbalanced	unbalanced	ADJ
cana-3484	131	3	,	,	PUNCT
cana-3484	131	4	introduce	introduce	VERB
cana-3484	131	5	a	a	DET
cana-3484	131	6	dummy	dummy	ADJ
cana-3484	131	7	source	source	NOUN
cana-3484	131	8	or	or	CCONJ
cana-3484	131	9	dummy	dummy	ADJ
cana-3484	131	10	destination	destination	NOUN
cana-3484	131	11	(	(	PUNCT
cana-3484	131	12	as	as	SCONJ
cana-3484	131	13	needed	need	VERB
cana-3484	131	14	)	)	PUNCT
cana-3484	131	15	to	to	PART
cana-3484	131	16	balance	balance	VERB
cana-3484	131	17	the	the	DET
cana-3484	131	18	problem	problem	NOUN
cana-3484	131	19	.	.	PUNCT
cana-3484	132	1	the	the	DET
cana-3484	132	2	dummy	dummy	ADJ
cana-3484	132	3	source/	source/	NUM
cana-3484	132	4	destination	destination	NOUN
cana-3484	132	5	will	will	AUX
cana-3484	132	6	have	have	VERB
cana-3484	132	7	a	a	DET
cana-3484	132	8	cost	cost	NOUN
cana-3484	132	9	of	of	ADP
cana-3484	132	10	zero	zero	NUM
cana-3484	132	11	for	for	ADP
cana-3484	132	12	all	all	DET
cana-3484	132	13	cells	cell	NOUN
cana-3484	132	14	involving	involve	VERB
cana-3484	132	15	the	the	DET
cana-3484	132	16	dummy	dummy	NOUN
cana-3484	132	17	.	.	PUNCT
cana-3484	133	1	step	step	NOUN
cana-3484	133	2	2	2	NUM
cana-3484	133	3	:	:	PUNCT
cana-3484	133	4	calculate	calculate	VERB
cana-3484	133	5	penalties	penalty	NOUN
cana-3484	133	6	calculate	calculate	VERB
cana-3484	133	7	penalties	penalty	NOUN
cana-3484	133	8	for	for	ADP
cana-3484	133	9	each	each	DET
cana-3484	133	10	row	row	NOUN
cana-3484	133	11	and	and	CCONJ
cana-3484	133	12	column	column	NOUN
cana-3484	133	13	:	:	PUNCT
cana-3484	133	14	for	for	ADP
cana-3484	133	15	each	each	DET
cana-3484	133	16	row	row	NOUN
cana-3484	133	17	and	and	CCONJ
cana-3484	133	18	column	column	NOUN
cana-3484	133	19	,	,	PUNCT
cana-3484	133	20	find	find	VERB
cana-3484	133	21	the	the	DET
cana-3484	133	22	difference	difference	NOUN
cana-3484	133	23	between	between	ADP
cana-3484	133	24	the	the	DET
cana-3484	133	25	smallest	small	ADJ
cana-3484	133	26	and	and	CCONJ
cana-3484	133	27	the	the	DET
cana-3484	133	28	second	second	ADJ
cana-3484	133	29	smallest	small	ADJ
cana-3484	133	30	cost	cost	NOUN
cana-3484	133	31	in	in	ADP
cana-3484	133	32	that	that	DET
cana-3484	133	33	row	row	NOUN
cana-3484	133	34	or	or	CCONJ
cana-3484	133	35	column.if	column.if	NUM
cana-3484	133	36	two	two	NUM
cana-3484	133	37	or	or	CCONJ
cana-3484	133	38	more	more	ADJ
cana-3484	133	39	costs	cost	NOUN
cana-3484	133	40	are	be	AUX
cana-3484	133	41	identical	identical	ADJ
cana-3484	133	42	and	and	CCONJ
cana-3484	133	43	the	the	DET
cana-3484	133	44	smallest	small	ADJ
cana-3484	133	45	,	,	PUNCT
cana-3484	133	46	the	the	DET
cana-3484	133	47	penalty	penalty	NOUN
cana-3484	133	48	is	be	AUX
cana-3484	133	49	zero	zero	NUM
cana-3484	133	50	for	for	ADP
cana-3484	133	51	that	that	DET
cana-3484	133	52	row	row	NOUN
cana-3484	133	53	or	or	CCONJ
cana-3484	133	54	column	column	NOUN
cana-3484	133	55	.	.	PUNCT
cana-3484	134	1	step	step	NOUN
cana-3484	134	2	3	3	NUM
cana-3484	134	3	:	:	PUNCT
cana-3484	134	4	select	select	VERB
cana-3484	134	5	the	the	DET
cana-3484	134	6	highest	high	ADJ
cana-3484	134	7	penalty	penalty	NOUN
cana-3484	134	8	row	row	NOUN
cana-3484	134	9	or	or	CCONJ
cana-3484	134	10	column	column	NOUN
cana-3484	134	11	identify	identify	VERB
cana-3484	134	12	the	the	DET
cana-3484	134	13	row	row	NOUN
cana-3484	134	14	or	or	CCONJ
cana-3484	134	15	column	column	NOUN
cana-3484	134	16	with	with	ADP
cana-3484	134	17	the	the	DET
cana-3484	134	18	highest	high	ADJ
cana-3484	134	19	penalty	penalty	NOUN
cana-3484	134	20	:	:	PUNCT
cana-3484	135	1	look	look	VERB
cana-3484	135	2	for	for	ADP
cana-3484	135	3	the	the	DET
cana-3484	135	4	row	row	NOUN
cana-3484	135	5	or	or	CCONJ
cana-3484	135	6	column	column	NOUN
cana-3484	135	7	with	with	ADP
cana-3484	135	8	the	the	DET
cana-3484	135	9	largest	large	ADJ
cana-3484	135	10	penalty	penalty	NOUN
cana-3484	135	11	value	value	NOUN
cana-3484	135	12	.	.	PUNCT
cana-3484	136	1	if	if	SCONJ
cana-3484	136	2	multiple	multiple	ADJ
cana-3484	136	3	rows	row	NOUN
cana-3484	136	4	or	or	CCONJ
cana-3484	136	5	columns	column	NOUN
cana-3484	136	6	have	have	VERB
cana-3484	136	7	the	the	DET
cana-3484	136	8	same	same	ADJ
cana-3484	136	9	penalty	penalty	NOUN
cana-3484	136	10	,	,	PUNCT
cana-3484	136	11	proceed	proceed	VERB
cana-3484	136	12	with	with	ADP
cana-3484	136	13	the	the	DET
cana-3484	136	14	following	follow	VERB
cana-3484	136	15	tiebreakers	tiebreaker	NOUN
cana-3484	136	16	,	,	PUNCT
cana-3484	136	17	select	select	VERB
cana-3484	136	18	the	the	DET
cana-3484	136	19	row	row	NOUN
cana-3484	136	20	or	or	CCONJ
cana-3484	136	21	column	column	NOUN
cana-3484	136	22	with	with	ADP
cana-3484	136	23	the	the	DET
cana-3484	136	24	smallest	small	ADJ
cana-3484	136	25	unit	unit	NOUN
cana-3484	137	1	cost.if	cost.if	NOUN
cana-3484	137	2	there	there	PRON
cana-3484	137	3	's	be	VERB
cana-3484	137	4	still	still	ADV
cana-3484	137	5	a	a	DET
cana-3484	137	6	tie	tie	NOUN
cana-3484	137	7	,	,	PUNCT
cana-3484	137	8	choose	choose	VERB
cana-3484	137	9	the	the	DET
cana-3484	137	10	row	row	NOUN
cana-3484	137	11	or	or	CCONJ
cana-3484	137	12	column	column	NOUN
cana-3484	137	13	where	where	SCONJ
cana-3484	137	14	the	the	DET
cana-3484	137	15	largest	large	ADJ
cana-3484	137	16	allocation	allocation	NOUN
cana-3484	137	17	can	can	AUX
cana-3484	137	18	be	be	AUX
cana-3484	137	19	made	make	VERB
cana-3484	137	20	(	(	PUNCT
cana-3484	137	21	i.e.	i.e.	X
cana-3484	137	22	,	,	PUNCT
cana-3484	137	23	the	the	DET
cana-3484	137	24	one	one	NOUN
cana-3484	137	25	with	with	ADP
cana-3484	137	26	the	the	DET
cana-3484	137	27	highest	high	ADJ
cana-3484	137	28	remaining	remain	VERB
cana-3484	137	29	supply	supply	NOUN
cana-3484	137	30	or	or	CCONJ
cana-3484	137	31	demand).allocate	demand).allocate	VERB
cana-3484	137	32	to	to	ADP
cana-3484	137	33	the	the	DET
cana-3484	137	34	lowest	low	ADJ
cana-3484	137	35	-	-	PUNCT
cana-3484	137	36	cost	cost	NOUN
cana-3484	137	37	cell	cell	NOUN
cana-3484	137	38	:	:	PUNCT
cana-3484	137	39	in	in	ADP
cana-3484	137	40	the	the	DET
cana-3484	137	41	row	row	NOUN
cana-3484	137	42	or	or	CCONJ
cana-3484	137	43	column	column	NOUN
cana-3484	137	44	with	with	ADP
cana-3484	137	45	the	the	DET
cana-3484	137	46	highest	high	ADJ
cana-3484	137	47	penalty	penalty	NOUN
cana-3484	137	48	,	,	PUNCT
cana-3484	137	49	allocate	allocate	VERB
cana-3484	137	50	as	as	ADV
cana-3484	137	51	much	much	ADV
cana-3484	137	52	as	as	ADP
cana-3484	137	53	possible	possible	ADJ
cana-3484	137	54	to	to	ADP
cana-3484	137	55	the	the	DET
cana-3484	137	56	cell	cell	NOUN
cana-3484	137	57	with	with	ADP
cana-3484	137	58	the	the	DET
cana-3484	137	59	lowest	low	ADJ
cana-3484	137	60	cost	cost	NOUN
cana-3484	137	61	.	.	PUNCT
cana-3484	138	1	communications	communication	NOUN
cana-3484	138	2	on	on	ADP
cana-3484	138	3	applied	apply	VERB
cana-3484	138	4	nonlinear	nonlinear	ADJ
cana-3484	138	5	analysis	analysis	NOUN
cana-3484	138	6	issn	issn	NOUN
cana-3484	138	7	:	:	PUNCT
cana-3484	138	8	1074	1074	NUM
cana-3484	138	9	-	-	PUNCT
cana-3484	138	10	133x	133x	NUM
cana-3484	138	11	vol	vol	NOUN
cana-3484	138	12	32	32	NUM
cana-3484	138	13	no	no	NOUN
cana-3484	138	14	.	.	PUNCT
cana-3484	139	1	7s	7	NOUN
cana-3484	139	2	(	(	PUNCT
cana-3484	139	3	2025	2025	NUM
cana-3484	139	4	)	)	PUNCT
cana-3484	139	5	771	771	NUM
cana-3484	139	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	139	7	step	step	NOUN
cana-3484	139	8	4	4	NUM
cana-3484	139	9	:	:	PUNCT
cana-3484	139	10	update	update	VERB
cana-3484	139	11	the	the	DET
cana-3484	139	12	problem	problem	NOUN
cana-3484	139	13	remove	remove	VERB
cana-3484	139	14	satisfied	satisfied	ADJ
cana-3484	139	15	rows	row	NOUN
cana-3484	139	16	or	or	CCONJ
cana-3484	139	17	columns	column	NOUN
cana-3484	139	18	:	:	PUNCT
cana-3484	139	19	once	once	SCONJ
cana-3484	139	20	a	a	DET
cana-3484	139	21	row	row	NOUN
cana-3484	139	22	or	or	CCONJ
cana-3484	139	23	column	column	NOUN
cana-3484	139	24	’s	’s	PART
cana-3484	139	25	supply	supply	NOUN
cana-3484	139	26	or	or	CCONJ
cana-3484	139	27	demand	demand	NOUN
cana-3484	139	28	has	have	AUX
cana-3484	139	29	been	be	AUX
cana-3484	139	30	completely	completely	ADV
cana-3484	139	31	allocated	allocate	VERB
cana-3484	139	32	,	,	PUNCT
cana-3484	139	33	remove	remove	VERB
cana-3484	139	34	it	it	PRON
cana-3484	139	35	from	from	ADP
cana-3484	139	36	the	the	DET
cana-3484	139	37	matrix	matrix	NOUN
cana-3484	139	38	(	(	PUNCT
cana-3484	139	39	or	or	CCONJ
cana-3484	139	40	mark	mark	VERB
cana-3484	139	41	it	it	PRON
cana-3484	139	42	as	as	ADP
cana-3484	139	43	satisfied	satisfied	ADJ
cana-3484	139	44	)	)	PUNCT
cana-3484	139	45	.	.	PUNCT
cana-3484	140	1	step	step	NOUN
cana-3484	140	2	5	5	NUM
cana-3484	140	3	:	:	PUNCT
cana-3484	140	4	repeat	repeat	VERB
cana-3484	140	5	until	until	SCONJ
cana-3484	140	6	all	all	DET
cana-3484	140	7	constraints	constraint	NOUN
cana-3484	140	8	are	be	AUX
cana-3484	140	9	satisfied	satisfied	ADJ
cana-3484	140	10	repeat	repeat	NOUN
cana-3484	140	11	steps	step	NOUN
cana-3484	140	12	2	2	NUM
cana-3484	140	13	and	and	CCONJ
cana-3484	140	14	3	3	NUM
cana-3484	140	15	:	:	PUNCT
cana-3484	140	16	continue	continue	VERB
cana-3484	140	17	calculating	calculate	VERB
cana-3484	140	18	penalties	penalty	NOUN
cana-3484	140	19	and	and	CCONJ
cana-3484	140	20	allocating	allocate	VERB
cana-3484	140	21	resources	resource	NOUN
cana-3484	140	22	until	until	SCONJ
cana-3484	140	23	all	all	DET
cana-3484	140	24	supply	supply	NOUN
cana-3484	140	25	and	and	CCONJ
cana-3484	140	26	demand	demand	NOUN
cana-3484	140	27	constraints	constraint	NOUN
cana-3484	140	28	are	be	AUX
cana-3484	140	29	fully	fully	ADV
cana-3484	140	30	satisfied	satisfied	ADJ
cana-3484	140	31	.	.	PUNCT
cana-3484	141	1	step	step	VERB
cana-3484	141	2	6	6	NUM
cana-3484	141	3	:	:	PUNCT
cana-3484	141	4	obtain	obtain	VERB
cana-3484	141	5	the	the	DET
cana-3484	141	6	initial	initial	ADJ
cana-3484	141	7	basic	basic	ADJ
cana-3484	141	8	feasible	feasible	ADJ
cana-3484	141	9	solution	solution	NOUN
cana-3484	141	10	final	final	ADJ
cana-3484	141	11	solution	solution	NOUN
cana-3484	141	12	:	:	PUNCT
cana-3484	141	13	the	the	DET
cana-3484	141	14	result	result	NOUN
cana-3484	141	15	of	of	ADP
cana-3484	141	16	the	the	DET
cana-3484	141	17	allocation	allocation	NOUN
cana-3484	141	18	process	process	NOUN
cana-3484	141	19	in	in	ADP
cana-3484	141	20	step	step	NOUN
cana-3484	141	21	5	5	NUM
cana-3484	141	22	gives	give	VERB
cana-3484	141	23	you	you	PRON
cana-3484	141	24	the	the	DET
cana-3484	141	25	initial	initial	ADJ
cana-3484	141	26	basic	basic	ADJ
cana-3484	141	27	feasible	feasible	ADJ
cana-3484	141	28	solution	solution	NOUN
cana-3484	141	29	for	for	ADP
cana-3484	141	30	the	the	DET
cana-3484	141	31	transportation	transportation	NOUN
cana-3484	141	32	problem	problem	NOUN
cana-3484	141	33	.	.	PUNCT
cana-3484	142	1	this	this	DET
cana-3484	142	2	solution	solution	NOUN
cana-3484	142	3	is	be	AUX
cana-3484	142	4	feasible	feasible	ADJ
cana-3484	142	5	,	,	PUNCT
cana-3484	142	6	but	but	CCONJ
cana-3484	142	7	it	it	PRON
cana-3484	142	8	may	may	AUX
cana-3484	142	9	not	not	PART
cana-3484	142	10	necessarily	necessarily	ADV
cana-3484	142	11	be	be	AUX
cana-3484	142	12	optimal	optimal	ADJ
cana-3484	142	13	.	.	PUNCT
cana-3484	143	1	3.2	3.2	NUM
cana-3484	143	2	numerical	numerical	ADJ
cana-3484	143	3	example	example	NOUN
cana-3484	143	4	a	a	DET
cana-3484	143	5	beverage	beverage	NOUN
cana-3484	143	6	company	company	NOUN
cana-3484	143	7	operates	operate	VERB
cana-3484	143	8	three	three	NUM
cana-3484	143	9	bottling	bottle	VERB
cana-3484	143	10	plants	plant	NOUN
cana-3484	143	11	located	locate	VERB
cana-3484	143	12	across	across	ADP
cana-3484	143	13	a	a	DET
cana-3484	143	14	region	region	NOUN
cana-3484	143	15	,	,	PUNCT
cana-3484	143	16	with	with	ADP
cana-3484	143	17	each	each	DET
cana-3484	143	18	plant	plant	NOUN
cana-3484	143	19	having	have	VERB
cana-3484	143	20	the	the	DET
cana-3484	143	21	following	follow	VERB
cana-3484	143	22	daily	daily	ADJ
cana-3484	143	23	production	production	NOUN
cana-3484	143	24	capacities	capacity	NOUN
cana-3484	143	25	:	:	PUNCT
cana-3484	143	26	plant	plant	NOUN
cana-3484	143	27	1	1	NUM
cana-3484	143	28	,	,	PUNCT
cana-3484	143	29	plant	plant	NOUN
cana-3484	143	30	2	2	NUM
cana-3484	143	31	,	,	PUNCT
cana-3484	143	32	and	and	CCONJ
cana-3484	143	33	plant	plant	NOUN
cana-3484	143	34	3	3	NUM
cana-3484	143	35	.	.	PUNCT
cana-3484	144	1	the	the	DET
cana-3484	144	2	company	company	NOUN
cana-3484	144	3	needs	need	VERB
cana-3484	144	4	to	to	PART
cana-3484	144	5	supply	supply	VERB
cana-3484	144	6	three	three	NUM
cana-3484	144	7	distribution	distribution	NOUN
cana-3484	144	8	hubs	hub	NOUN
cana-3484	144	9	hub	hub	NOUN
cana-3484	144	10	x	x	PROPN
cana-3484	144	11	,	,	PUNCT
cana-3484	144	12	hub	hub	PROPN
cana-3484	144	13	y	y	PROPN
cana-3484	144	14	,	,	PUNCT
cana-3484	144	15	and	and	CCONJ
cana-3484	144	16	hub	hub	PROPN
cana-3484	144	17	z	z	PROPN
cana-3484	144	18	each	each	PRON
cana-3484	144	19	with	with	ADP
cana-3484	144	20	specific	specific	ADJ
cana-3484	144	21	daily	daily	ADJ
cana-3484	144	22	beverage	beverage	NOUN
cana-3484	144	23	requirements	requirement	NOUN
cana-3484	144	24	.	.	PUNCT
cana-3484	145	1	the	the	DET
cana-3484	145	2	transportation	transportation	NOUN
cana-3484	145	3	cost	cost	NOUN
cana-3484	145	4	for	for	ADP
cana-3484	145	5	shipping	ship	VERB
cana-3484	145	6	one	one	NUM
cana-3484	145	7	million	million	NUM
cana-3484	145	8	liters	liter	NOUN
cana-3484	145	9	of	of	ADP
cana-3484	145	10	beverage	beverage	NOUN
cana-3484	145	11	from	from	ADP
cana-3484	145	12	each	each	DET
cana-3484	145	13	plant	plant	NOUN
cana-3484	145	14	to	to	ADP
cana-3484	145	15	each	each	DET
cana-3484	145	16	distribution	distribution	NOUN
cana-3484	145	17	hub	hub	NOUN
cana-3484	145	18	is	be	AUX
cana-3484	145	19	provided	provide	VERB
cana-3484	145	20	in	in	ADP
cana-3484	145	21	the	the	DET
cana-3484	145	22	table	table	NOUN
cana-3484	145	23	below	below	ADV
cana-3484	145	24	(	(	PUNCT
cana-3484	145	25	in	in	ADP
cana-3484	145	26	hundreds	hundred	NOUN
cana-3484	145	27	of	of	ADP
cana-3484	145	28	rupees	rupee	NOUN
cana-3484	145	29	)	)	PUNCT
cana-3484	145	30	.	.	PUNCT
cana-3484	146	1	the	the	DET
cana-3484	146	2	company	company	NOUN
cana-3484	146	3	aims	aim	VERB
cana-3484	146	4	to	to	PART
cana-3484	146	5	determine	determine	VERB
cana-3484	146	6	the	the	DET
cana-3484	146	7	optimal	optimal	ADJ
cana-3484	146	8	shipment	shipment	NOUN
cana-3484	146	9	quantities	quantity	NOUN
cana-3484	146	10	from	from	ADP
cana-3484	146	11	each	each	DET
cana-3484	146	12	bottling	bottle	VERB
cana-3484	146	13	plant	plant	NOUN
cana-3484	146	14	to	to	ADP
cana-3484	146	15	each	each	DET
cana-3484	146	16	distribution	distribution	NOUN
cana-3484	146	17	hub	hub	NOUN
cana-3484	146	18	in	in	ADP
cana-3484	146	19	order	order	NOUN
cana-3484	146	20	to	to	PART
cana-3484	146	21	minimize	minimize	VERB
cana-3484	146	22	the	the	DET
cana-3484	146	23	total	total	ADJ
cana-3484	146	24	transportation	transportation	NOUN
cana-3484	146	25	cost	cost	NOUN
cana-3484	146	26	,	,	PUNCT
cana-3484	146	27	which	which	PRON
cana-3484	146	28	is	be	AUX
cana-3484	146	29	represented	represent	VERB
cana-3484	146	30	as	as	ADP
cana-3484	146	31	a	a	DET
cana-3484	146	32	generalized	generalized	ADJ
cana-3484	146	33	quadratic	quadratic	ADJ
cana-3484	146	34	fuzzy	fuzzy	ADJ
cana-3484	146	35	number	number	NOUN
cana-3484	146	36	.	.	PUNCT
cana-3484	147	1	the	the	DET
cana-3484	147	2	goal	goal	NOUN
cana-3484	147	3	is	be	AUX
cana-3484	147	4	to	to	PART
cana-3484	147	5	determine	determine	VERB
cana-3484	147	6	the	the	DET
cana-3484	147	7	initial	initial	ADJ
cana-3484	147	8	basic	basic	ADJ
cana-3484	147	9	feasible	feasible	ADJ
cana-3484	147	10	solution	solution	NOUN
cana-3484	147	11	(	(	PUNCT
cana-3484	147	12	ibfs	ibfs	NOUN
cana-3484	147	13	)	)	PUNCT
cana-3484	147	14	for	for	ADP
cana-3484	147	15	this	this	DET
cana-3484	147	16	transportation	transportation	NOUN
cana-3484	147	17	problem	problem	NOUN
cana-3484	147	18	.	.	PUNCT
cana-3484	148	1	plant	plant	NOUN
cana-3484	148	2	1	1	NUM
cana-3484	148	3	plant	plant	NOUN
cana-3484	148	4	2	2	NUM
cana-3484	148	5	plant	plant	NOUN
cana-3484	148	6	3	3	NUM
cana-3484	148	7	supply	supply	NOUN
cana-3484	148	8	hub	hub	NOUN
cana-3484	148	9	x	x	X
cana-3484	148	10	(	(	PUNCT
cana-3484	148	11	3,5,6,7,9	3,5,6,7,9	NUM
cana-3484	148	12	)	)	PUNCT
cana-3484	148	13	(	(	PUNCT
cana-3484	148	14	7,9,10,11,13	7,9,10,11,13	NUM
cana-3484	148	15	)	)	PUNCT
cana-3484	148	16	(	(	PUNCT
cana-3484	148	17	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	148	18	)	)	PUNCT
cana-3484	148	19	(	(	PUNCT
cana-3484	148	20	47,49,50,51,53	47,49,50,51,53	NOUN
cana-3484	148	21	)	)	PUNCT
cana-3484	148	22	hub	hub	NOUN
cana-3484	148	23	y	y	PROPN
cana-3484	148	24	(	(	PUNCT
cana-3484	148	25	9,11,12,13,15	9,11,12,13,15	NUM
cana-3484	148	26	)	)	PUNCT
cana-3484	148	27	(	(	PUNCT
cana-3484	148	28	16,18,19,20,22	16,18,19,20,22	NOUN
cana-3484	148	29	)	)	PUNCT
cana-3484	148	30	(	(	PUNCT
cana-3484	148	31	18,20,21,22,24	18,20,21,22,24	NUM
cana-3484	148	32	)	)	PUNCT
cana-3484	148	33	(	(	PUNCT
cana-3484	148	34	47,49,50,51,53	47,49,50,51,53	NOUN
cana-3484	148	35	)	)	PUNCT
cana-3484	148	36	hub	hub	NOUN
cana-3484	148	37	z	z	PROPN
cana-3484	148	38	(	(	PUNCT
cana-3484	148	39	12,14,15,16,18	12,14,15,16,18	NUM
cana-3484	148	40	)	)	PUNCT
cana-3484	148	41	(	(	PUNCT
cana-3484	148	42	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	148	43	)	)	PUNCT
cana-3484	148	44	(	(	PUNCT
cana-3484	148	45	14,16,17,18,20	14,16,17,18,20	NUM
cana-3484	148	46	)	)	PUNCT
cana-3484	148	47	(	(	PUNCT
cana-3484	148	48	47,49,50,51,53	47,49,50,51,53	NOUN
cana-3484	148	49	)	)	PUNCT
cana-3484	148	50	demand	demand	NOUN
cana-3484	148	51	(	(	PUNCT
cana-3484	148	52	27,29,30,31,33	27,29,30,31,33	NUM
cana-3484	148	53	)	)	PUNCT
cana-3484	148	54	(	(	PUNCT
cana-3484	148	55	37,39,40,41,43	37,39,40,41,43	NOUN
cana-3484	148	56	)	)	PUNCT
cana-3484	148	57	(	(	PUNCT
cana-3484	148	58	52,54,55,56,58	52,54,55,56,58	PROPN
cana-3484	148	59	)	)	PUNCT
cana-3484	148	60	table	table	NOUN
cana-3484	148	61	2	2	NUM
cana-3484	148	62	.	.	PUNCT
cana-3484	148	63	generalized	generalize	VERB
cana-3484	148	64	quadratic	quadratic	ADJ
cana-3484	148	65	fuzzy	fuzzy	ADJ
cana-3484	148	66	transportation	transportation	NOUN
cana-3484	148	67	table	table	NOUN
cana-3484	148	68	check	check	NOUN
cana-3484	148	69	for	for	ADP
cana-3484	148	70	balance	balance	NOUN
cana-3484	148	71	:	:	PUNCT
cana-3484	148	72	fuzzy	fuzzy	ADJ
cana-3484	148	73	total	total	ADJ
cana-3484	148	74	supply	supply	NOUN
cana-3484	148	75	=(	=(	NOUN
cana-3484	148	76	47,49,50,51,53)+(47,49,50,51,53)+(47,49,50,51,53)=(141,147,150,153,159	47,49,50,51,53)+(47,49,50,51,53)+(47,49,50,51,53)=(141,147,150,153,159	PROPN
cana-3484	148	77	)	)	PUNCT
cana-3484	148	78	communications	communication	NOUN
cana-3484	148	79	on	on	ADP
cana-3484	148	80	applied	apply	VERB
cana-3484	148	81	nonlinear	nonlinear	ADJ
cana-3484	148	82	analysis	analysis	NOUN
cana-3484	148	83	issn	issn	NOUN
cana-3484	148	84	:	:	PUNCT
cana-3484	148	85	1074	1074	NUM
cana-3484	148	86	-	-	PUNCT
cana-3484	148	87	133x	133x	NUM
cana-3484	148	88	vol	vol	NOUN
cana-3484	148	89	32	32	NUM
cana-3484	148	90	no	no	NOUN
cana-3484	148	91	.	.	PUNCT
cana-3484	149	1	7s	7	NOUN
cana-3484	149	2	(	(	PUNCT
cana-3484	149	3	2025	2025	NUM
cana-3484	149	4	)	)	PUNCT
cana-3484	149	5	772	772	NUM
cana-3484	149	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	149	7	fuzzy	fuzzy	ADJ
cana-3484	149	8	total	total	ADJ
cana-3484	149	9	demand	demand	NOUN
cana-3484	149	10	=(	=(	NOUN
cana-3484	149	11	27,29,30,31,33)+(37,39,40,41,43)+(52,54,55,56,58	27,29,30,31,33)+(37,39,40,41,43)+(52,54,55,56,58	NUM
cana-3484	149	12	)	)	PUNCT
cana-3484	149	13	=(	=(	NOUN
cana-3484	149	14	116,122,125,128,134	116,122,125,128,134	NUM
cana-3484	149	15	)	)	PUNCT
cana-3484	149	16	since	since	SCONJ
cana-3484	149	17	fuzzy	fuzzy	ADJ
cana-3484	149	18	total	total	ADJ
cana-3484	149	19	supply	supply	NOUN
cana-3484	149	20	≠	≠	PUNCT
cana-3484	149	21	fuzzy	fuzzy	ADJ
cana-3484	149	22	total	total	ADJ
cana-3484	149	23	demand	demand	NOUN
cana-3484	149	24	,	,	PUNCT
cana-3484	149	25	it	it	PRON
cana-3484	149	26	is	be	AUX
cana-3484	149	27	called	call	VERB
cana-3484	149	28	unbalanced	unbalanced	ADJ
cana-3484	149	29	.	.	PUNCT
cana-3484	150	1	step	step	NOUN
cana-3484	150	2	1	1	NUM
cana-3484	150	3	:	:	PUNCT
cana-3484	150	4	add	add	VERB
cana-3484	150	5	a	a	DET
cana-3484	150	6	dummy	dummy	ADJ
cana-3484	150	7	column	column	NOUN
cana-3484	150	8	,	,	PUNCT
cana-3484	150	9	to	to	PART
cana-3484	150	10	balance	balance	VERB
cana-3484	150	11	the	the	DET
cana-3484	150	12	problem	problem	NOUN
cana-3484	150	13	,	,	PUNCT
cana-3484	150	14	a	a	DET
cana-3484	150	15	dummy	dummy	ADJ
cana-3484	150	16	column	column	NOUN
cana-3484	150	17	is	be	AUX
cana-3484	150	18	added	add	VERB
cana-3484	150	19	with	with	ADP
cana-3484	150	20	costs	cost	NOUN
cana-3484	150	21	of	of	ADP
cana-3484	150	22	(	(	PUNCT
cana-3484	150	23	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	150	24	)	)	PUNCT
cana-3484	150	25	and	and	CCONJ
cana-3484	150	26	demand	demand	NOUN
cana-3484	150	27	equal	equal	ADJ
cana-3484	150	28	to	to	ADP
cana-3484	150	29	the	the	DET
cana-3484	150	30	excess	excess	ADJ
cana-3484	150	31	supply	supply	NOUN
cana-3484	150	32	:	:	PUNCT
cana-3484	150	33	step	step	NOUN
cana-3484	150	34	2	2	NUM
cana-3484	150	35	:	:	PUNCT
cana-3484	150	36	formulate	formulate	VERB
cana-3484	150	37	the	the	DET
cana-3484	150	38	piecewise	piecewise	NOUN
cana-3484	150	39	quadratic	quadratic	ADJ
cana-3484	150	40	fuzzy	fuzzy	ADJ
cana-3484	150	41	transportation	transportation	NOUN
cana-3484	150	42	problem	problem	NOUN
cana-3484	150	43	in	in	ADP
cana-3484	150	44	matrix	matrix	NOUN
cana-3484	150	45	form	form	NOUN
cana-3484	150	46	the	the	DET
cana-3484	150	47	transportation	transportation	NOUN
cana-3484	150	48	matrix	matrix	NOUN
cana-3484	150	49	for	for	ADP
cana-3484	150	50	costs	cost	NOUN
cana-3484	150	51	(	(	PUNCT
cana-3484	150	52	in	in	ADP
cana-3484	150	53	generalized	generalized	ADJ
cana-3484	150	54	quadratic	quadratic	ADJ
cana-3484	150	55	fuzzy	fuzzy	ADJ
cana-3484	150	56	numbers	number	NOUN
cana-3484	150	57	)	)	PUNCT
cana-3484	150	58	is	be	AUX
cana-3484	150	59	:	:	PUNCT
cana-3484	150	60	plant	plant	NOUN
cana-3484	150	61	1	1	NUM
cana-3484	150	62	plant	plant	NOUN
cana-3484	150	63	2	2	NUM
cana-3484	150	64	plant	plant	NOUN
cana-3484	150	65	3	3	NUM
cana-3484	150	66	plant	plant	NOUN
cana-3484	150	67	4	4	NUM
cana-3484	150	68	supply	supply	NOUN
cana-3484	150	69	penalty	penalty	NOUN
cana-3484	150	70	hub	hub	NOUN
cana-3484	150	71	x	x	X
cana-3484	150	72	(	(	PUNCT
cana-3484	150	73	3,5,6,7,9	3,5,6,7,9	NUM
cana-3484	150	74	)	)	PUNCT
cana-3484	150	75	(	(	PUNCT
cana-3484	150	76	7,9,10,11,13	7,9,10,11,13	NUM
cana-3484	150	77	)	)	PUNCT
cana-3484	150	78	(	(	PUNCT
cana-3484	150	79	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	150	80	)	)	PUNCT
cana-3484	150	81	(	(	PUNCT
cana-3484	150	82	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	150	83	)	)	PUNCT
cana-3484	150	84	(	(	PUNCT
cana-3484	150	85	47,49,50,51,53	47,49,50,51,53	NOUN
cana-3484	150	86	)	)	PUNCT
cana-3484	150	87	(	(	PUNCT
cana-3484	150	88	3,5,6,7,9	3,5,6,7,9	NUM
cana-3484	150	89	)	)	PUNCT
cana-3484	150	90	hub	hub	NOUN
cana-3484	150	91	y	y	PROPN
cana-3484	150	92	(	(	PUNCT
cana-3484	150	93	9,11,12,13,15	9,11,12,13,15	NUM
cana-3484	150	94	)	)	PUNCT
cana-3484	150	95	(	(	PUNCT
cana-3484	150	96	16,18,19,20,22	16,18,19,20,22	NOUN
cana-3484	150	97	)	)	PUNCT
cana-3484	150	98	(	(	PUNCT
cana-3484	150	99	18,20,21,22,24	18,20,21,22,24	NUM
cana-3484	150	100	)	)	PUNCT
cana-3484	150	101	(	(	PUNCT
cana-3484	150	102	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	150	103	)	)	PUNCT
cana-3484	150	104	(	(	PUNCT
cana-3484	150	105	47,49,50,51,53	47,49,50,51,53	NOUN
cana-3484	150	106	)	)	PUNCT
cana-3484	150	107	(	(	PUNCT
cana-3484	150	108	9,11,12,13,15	9,11,12,13,15	X
cana-3484	150	109	)	)	PUNCT
cana-3484	150	110	hub	hub	NOUN
cana-3484	150	111	z	z	PROPN
cana-3484	150	112	(	(	PUNCT
cana-3484	150	113	12,14,15,16,18	12,14,15,16,18	NUM
cana-3484	150	114	)	)	PUNCT
cana-3484	150	115	(	(	PUNCT
cana-3484	150	116	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	150	117	)	)	PUNCT
cana-3484	150	118	(	(	PUNCT
cana-3484	150	119	14,16,17,18,20	14,16,17,18,20	NUM
cana-3484	150	120	)	)	PUNCT
cana-3484	150	121	(	(	PUNCT
cana-3484	150	122	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	150	123	)	)	PUNCT
cana-3484	150	124	(	(	PUNCT
cana-3484	150	125	47,49,50,51,53	47,49,50,51,53	NOUN
cana-3484	150	126	)	)	PUNCT
cana-3484	150	127	(	(	PUNCT
cana-3484	150	128	12,13,14,15,17	12,13,14,15,17	NOUN
cana-3484	150	129	)	)	PUNCT
cana-3484	150	130	demand	demand	NOUN
cana-3484	150	131	(	(	PUNCT
cana-3484	150	132	27,29,30,31,33	27,29,30,31,33	NUM
cana-3484	150	133	)	)	PUNCT
cana-3484	150	134	(	(	PUNCT
cana-3484	150	135	37,39,40,41,43	37,39,40,41,43	NOUN
cana-3484	150	136	)	)	PUNCT
cana-3484	150	137	(	(	PUNCT
cana-3484	150	138	52,54,55,56,58	52,54,55,56,58	PROPN
cana-3484	150	139	)	)	PUNCT
cana-3484	150	140	(	(	PUNCT
cana-3484	150	141	7,19,25,31,43	7,19,25,31,43	NUM
cana-3484	150	142	)	)	PUNCT
cana-3484	151	1	p	p	NOUN
cana-3484	151	2	en	en	PROPN
cana-3484	151	3	al	al	PROPN
cana-3484	151	4	ty	ty	PROPN
cana-3484	151	5	(	(	PUNCT
cana-3484	151	6	0,4,6,8,12	0,4,6,8,12	PROPN
cana-3484	151	7	)	)	PUNCT
cana-3484	151	8	(	(	PUNCT
cana-3484	151	9	-2,2,4,6,10	-2,2,4,6,10	NOUN
cana-3484	151	10	)	)	PUNCT
cana-3484	151	11	(	(	PUNCT
cana-3484	151	12	-3,1,3,5,9	-3,1,3,5,9	PROPN
cana-3484	151	13	)	)	PUNCT
cana-3484	151	14	(	(	PUNCT
cana-3484	151	15	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	151	16	)	)	PUNCT
cana-3484	151	17	table	table	NOUN
cana-3484	151	18	3	3	NUM
cana-3484	151	19	.	.	PUNCT
cana-3484	151	20	balanced	balance	VERB
cana-3484	151	21	generalized	generalized	ADJ
cana-3484	151	22	quadratic	quadratic	ADJ
cana-3484	151	23	fuzzy	fuzzy	ADJ
cana-3484	151	24	transportation	transportation	NOUN
cana-3484	151	25	table	table	NOUN
cana-3484	151	26	step	step	NOUN
cana-3484	151	27	3	3	NUM
cana-3484	151	28	:	:	PUNCT
cana-3484	151	29	calculate	calculate	VERB
cana-3484	151	30	penalties	penalty	NOUN
cana-3484	151	31	and	and	CCONJ
cana-3484	151	32	allocate	allocate	ADJ
cana-3484	151	33	supplies	supply	NOUN
cana-3484	151	34	using	use	VERB
cana-3484	151	35	the	the	DET
cana-3484	151	36	piecewise	piecewise	NOUN
cana-3484	151	37	quadratic	quadratic	ADJ
cana-3484	151	38	fuzzy	fuzzy	ADJ
cana-3484	151	39	vogel	vogel	NOUN
cana-3484	151	40	's	's	PART
cana-3484	151	41	approximation	approximation	NOUN
cana-3484	151	42	method	method	NOUN
cana-3484	151	43	(	(	PUNCT
cana-3484	151	44	pqfvam	pqfvam	PROPN
cana-3484	151	45	):	):	PUNCT
cana-3484	151	46	to	to	PART
cana-3484	151	47	solve	solve	VERB
cana-3484	151	48	the	the	DET
cana-3484	151	49	problem	problem	NOUN
cana-3484	151	50	,	,	PUNCT
cana-3484	151	51	the	the	DET
cana-3484	151	52	difference	difference	NOUN
cana-3484	151	53	between	between	ADP
cana-3484	151	54	the	the	DET
cana-3484	151	55	smallest	small	ADJ
cana-3484	151	56	and	and	CCONJ
cana-3484	151	57	next	next	ADJ
cana-3484	151	58	smallest	small	ADJ
cana-3484	151	59	transportation	transportation	NOUN
cana-3484	151	60	expenses	expense	NOUN
cana-3484	151	61	is	be	AUX
cana-3484	151	62	used	use	VERB
cana-3484	151	63	to	to	PART
cana-3484	151	64	calculate	calculate	VERB
cana-3484	151	65	the	the	DET
cana-3484	151	66	penalties	penalty	NOUN
cana-3484	151	67	for	for	ADP
cana-3484	151	68	each	each	DET
cana-3484	151	69	row	row	NOUN
cana-3484	151	70	and	and	CCONJ
cana-3484	151	71	column	column	NOUN
cana-3484	151	72	.	.	PUNCT
cana-3484	152	1	after	after	ADP
cana-3484	152	2	determining	determine	VERB
cana-3484	152	3	which	which	DET
cana-3484	152	4	row	row	NOUN
cana-3484	152	5	or	or	CCONJ
cana-3484	152	6	column	column	NOUN
cana-3484	152	7	has	have	VERB
cana-3484	152	8	the	the	DET
cana-3484	152	9	largest	large	ADJ
cana-3484	152	10	penalty	penalty	NOUN
cana-3484	152	11	,	,	PUNCT
cana-3484	152	12	the	the	DET
cana-3484	152	13	cell	cell	NOUN
cana-3484	152	14	with	with	ADP
cana-3484	152	15	the	the	DET
cana-3484	152	16	lowest	low	ADJ
cana-3484	152	17	cost	cost	NOUN
cana-3484	152	18	receives	receive	VERB
cana-3484	152	19	the	the	DET
cana-3484	152	20	maximum	maximum	ADJ
cana-3484	152	21	allowable	allowable	ADJ
cana-3484	152	22	allocation	allocation	NOUN
cana-3484	152	23	.	.	PUNCT
cana-3484	153	1	the	the	DET
cana-3484	153	2	supply	supply	NOUN
cana-3484	153	3	and	and	CCONJ
cana-3484	153	4	demand	demand	NOUN
cana-3484	153	5	are	be	AUX
cana-3484	153	6	modified	modify	VERB
cana-3484	153	7	in	in	ADP
cana-3484	153	8	accordance	accordance	NOUN
cana-3484	153	9	with	with	ADP
cana-3484	153	10	each	each	DET
cana-3484	153	11	allocation	allocation	NOUN
cana-3484	153	12	.	.	PUNCT
cana-3484	154	1	this	this	DET
cana-3484	154	2	process	process	NOUN
cana-3484	154	3	is	be	AUX
cana-3484	154	4	repeated	repeat	VERB
cana-3484	154	5	until	until	SCONJ
cana-3484	154	6	all	all	DET
cana-3484	154	7	supply	supply	NOUN
cana-3484	154	8	and	and	CCONJ
cana-3484	154	9	demand	demand	NOUN
cana-3484	154	10	constraints	constraint	NOUN
cana-3484	154	11	are	be	AUX
cana-3484	154	12	satisfied	satisfied	ADJ
cana-3484	154	13	.	.	PUNCT
cana-3484	155	1	the	the	DET
cana-3484	155	2	optimal	optimal	ADJ
cana-3484	155	3	allocation	allocation	NOUN
cana-3484	155	4	for	for	ADP
cana-3484	155	5	the	the	DET
cana-3484	155	6	generalized	generalize	VERB
cana-3484	155	7	quadratic	quadratic	ADJ
cana-3484	155	8	fuzzy	fuzzy	ADJ
cana-3484	155	9	transportation	transportation	NOUN
cana-3484	155	10	problem	problem	NOUN
cana-3484	155	11	is	be	AUX
cana-3484	155	12	determined	determine	VERB
cana-3484	155	13	.	.	PUNCT
cana-3484	156	1	(	(	PUNCT
cana-3484	156	2	3,5,6,7,9	3,5,6,7,9	NUM
cana-3484	156	3	)	)	PUNCT
cana-3484	156	4	(	(	PUNCT
cana-3484	156	5	37,39,40,41,43	37,39,40,41,43	NOUN
cana-3484	156	6	)	)	PUNCT
cana-3484	156	7	(	(	PUNCT
cana-3484	156	8	7,9,10,11,13	7,9,10,11,13	NUM
cana-3484	156	9	)	)	PUNCT
cana-3484	156	10	(	(	PUNCT
cana-3484	156	11	4,8,10,12,16	4,8,10,12,16	NUM
cana-3484	156	12	)	)	PUNCT
cana-3484	156	13	(	(	PUNCT
cana-3484	156	14	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	156	15	)	)	PUNCT
cana-3484	156	16	(	(	PUNCT
cana-3484	156	17	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	156	18	)	)	PUNCT
cana-3484	156	19	(	(	PUNCT
cana-3484	156	20	27,29,30,31,33	27,29,30,31,33	NUM
cana-3484	156	21	)	)	PUNCT
cana-3484	156	22	(	(	PUNCT
cana-3484	156	23	9,11,12,13,15	9,11,12,13,15	NUM
cana-3484	156	24	)	)	PUNCT
cana-3484	156	25	(	(	PUNCT
cana-3484	156	26	16,18,19,20,22	16,18,19,20,22	NOUN
cana-3484	156	27	)	)	PUNCT
cana-3484	156	28	(	(	PUNCT
cana-3484	156	29	14,18,20,22,26	14,18,20,22,26	NUM
cana-3484	156	30	)	)	PUNCT
cana-3484	156	31	(	(	PUNCT
cana-3484	156	32	18,20,21,22,24	18,20,21,22,24	NUM
cana-3484	156	33	)	)	PUNCT
cana-3484	156	34	(	(	PUNCT
cana-3484	156	35	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	156	36	)	)	PUNCT
cana-3484	156	37	(	(	PUNCT
cana-3484	156	38	12,14,15,16,18	12,14,15,16,18	NUM
cana-3484	156	39	)	)	PUNCT
cana-3484	156	40	(	(	PUNCT
cana-3484	156	41	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	156	42	)	)	PUNCT
cana-3484	156	43	(	(	PUNCT
cana-3484	156	44	4,18,25,32,46	4,18,25,32,46	NOUN
cana-3484	156	45	)	)	PUNCT
cana-3484	156	46	(	(	PUNCT
cana-3484	156	47	14,16,17,18,20	14,16,17,18,20	NUM
cana-3484	156	48	)	)	PUNCT
cana-3484	156	49	(	(	PUNCT
cana-3484	156	50	7,19,25,31,43	7,19,25,31,43	NUM
cana-3484	156	51	)	)	PUNCT
cana-3484	156	52	(	(	PUNCT
cana-3484	156	53	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	156	54	)	)	PUNCT
cana-3484	156	55	table	table	NOUN
cana-3484	156	56	4	4	NUM
cana-3484	156	57	.	.	PUNCT
cana-3484	157	1	optimal	optimal	ADJ
cana-3484	157	2	assignment	assignment	NOUN
cana-3484	157	3	generalized	generalize	VERB
cana-3484	157	4	quadratic	quadratic	ADJ
cana-3484	157	5	fuzzy	fuzzy	ADJ
cana-3484	157	6	transportation	transportation	NOUN
cana-3484	157	7	table	table	NOUN
cana-3484	157	8	communications	communication	NOUN
cana-3484	157	9	on	on	ADP
cana-3484	157	10	applied	apply	VERB
cana-3484	157	11	nonlinear	nonlinear	ADJ
cana-3484	157	12	analysis	analysis	NOUN
cana-3484	157	13	issn	issn	NOUN
cana-3484	157	14	:	:	PUNCT
cana-3484	157	15	1074	1074	NUM
cana-3484	157	16	-	-	PUNCT
cana-3484	157	17	133x	133x	NUM
cana-3484	157	18	vol	vol	NOUN
cana-3484	157	19	32	32	NUM
cana-3484	157	20	no	no	NOUN
cana-3484	157	21	.	.	PUNCT
cana-3484	158	1	7s	7	NOUN
cana-3484	158	2	(	(	PUNCT
cana-3484	158	3	2025	2025	NUM
cana-3484	158	4	)	)	PUNCT
cana-3484	158	5	773	773	NUM
cana-3484	158	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	159	1	the	the	DET
cana-3484	159	2	total	total	ADJ
cana-3484	159	3	cost	cost	NOUN
cana-3484	159	4	of	of	ADP
cana-3484	159	5	the	the	DET
cana-3484	159	6	solution	solution	NOUN
cana-3484	159	7	is	be	AUX
cana-3484	159	8	calculated	calculate	VERB
cana-3484	159	9	by	by	ADP
cana-3484	159	10	multiplying	multiply	VERB
cana-3484	159	11	the	the	DET
cana-3484	159	12	transportation	transportation	NOUN
cana-3484	159	13	cost	cost	NOUN
cana-3484	159	14	per	per	ADP
cana-3484	159	15	unit	unit	NOUN
cana-3484	159	16	in	in	ADP
cana-3484	159	17	each	each	DET
cana-3484	159	18	basic	basic	ADJ
cana-3484	159	19	cell	cell	NOUN
cana-3484	159	20	by	by	ADP
cana-3484	159	21	the	the	DET
cana-3484	159	22	corresponding	corresponding	ADJ
cana-3484	159	23	number	number	NOUN
cana-3484	159	24	of	of	ADP
cana-3484	159	25	units	unit	NOUN
cana-3484	159	26	allocated	allocate	VERB
cana-3484	159	27	,	,	PUNCT
cana-3484	159	28	and	and	CCONJ
cana-3484	159	29	then	then	ADV
cana-3484	159	30	summing	sum	VERB
cana-3484	159	31	the	the	DET
cana-3484	159	32	results	result	NOUN
cana-3484	159	33	across	across	ADP
cana-3484	159	34	all	all	DET
cana-3484	159	35	allocated	allocate	VERB
cana-3484	159	36	cells	cell	NOUN
cana-3484	159	37	.	.	PUNCT
cana-3484	160	1	=	=	PUNCT
cana-3484	160	2	(	(	PUNCT
cana-3484	160	3	7,19,25,31,43)(0,0,0,0,0	7,19,25,31,43)(0,0,0,0,0	NOUN
cana-3484	160	4	)	)	PUNCT
cana-3484	160	5	+	+	CCONJ
cana-3484	160	6	(	(	PUNCT
cana-3484	160	7	27,29,30,31,33)(9,11,12,13,15)+	27,29,30,31,33)(9,11,12,13,15)+	NUM
cana-3484	160	8	(	(	PUNCT
cana-3484	160	9	37	37	NUM
cana-3484	160	10	,	,	PUNCT
cana-3484	160	11	39	39	NUM
cana-3484	160	12	,	,	PUNCT
cana-3484	160	13	40	40	NUM
cana-3484	160	14	,	,	PUNCT
cana-3484	160	15	41	41	NUM
cana-3484	160	16	,	,	PUNCT
cana-3484	160	17	43)(7,9,10,11,13	43)(7,9,10,11,13	NUM
cana-3484	160	18	)	)	PUNCT
cana-3484	160	19	+	+	CCONJ
cana-3484	160	20	(	(	PUNCT
cana-3484	160	21	14,18,20,22,26)(18,20,21,22,24)+	14,18,20,22,26)(18,20,21,22,24)+	NUM
cana-3484	160	22	(	(	PUNCT
cana-3484	160	23	4	4	NUM
cana-3484	160	24	,	,	PUNCT
cana-3484	160	25	18	18	NUM
cana-3484	160	26	,	,	PUNCT
cana-3484	160	27	25	25	NUM
cana-3484	160	28	,	,	PUNCT
cana-3484	160	29	32	32	NUM
cana-3484	160	30	,	,	PUNCT
cana-3484	160	31	46)(14,16,17,18,20	46)(14,16,17,18,20	NUM
cana-3484	160	32	)	)	PUNCT
cana-3484	160	33	+	+	CCONJ
cana-3484	160	34	(	(	PUNCT
cana-3484	160	35	4,8,10,12,16)(11,13,14,15,17	4,8,10,12,16)(11,13,14,15,17	ADJ
cana-3484	160	36	)	)	PUNCT
cana-3484	160	37	=	=	SYM
cana-3484	160	38	(	(	PUNCT
cana-3484	160	39	1628	1628	NUM
cana-3484	160	40	,	,	PUNCT
cana-3484	160	41	1732	1732	NUM
cana-3484	160	42	,	,	PUNCT
cana-3484	160	43	1745	1745	NUM
cana-3484	160	44	,	,	PUNCT
cana-3484	160	45	1758	1758	NUM
cana-3484	160	46	,	,	PUNCT
cana-3484	160	47	1862	1862	NUM
cana-3484	160	48	)	)	PUNCT
cana-3484	160	49	3.2.1	3.2.1	NUM
cana-3484	160	50	membership	membership	NOUN
cana-3484	160	51	function	function	VERB
cana-3484	160	52	the	the	DET
cana-3484	160	53	pqfn	pqfn	NOUN
cana-3484	160	54	is	be	AUX
cana-3484	160	55	a	a	DET
cana-3484	160	56	bell	bell	NOUN
cana-3484	160	57	shaped	shape	VERB
cana-3484	160	58	curve	curve	NOUN
cana-3484	160	59	symmetric	symmetric	NOUN
cana-3484	160	60	about	about	ADP
cana-3484	160	61	the	the	DET
cana-3484	160	62	line	line	NOUN
cana-3484	160	63	x=1745	x=1745	PROPN
cana-3484	160	64	,	,	PUNCT
cana-3484	160	65	possess	possess	VERB
cana-3484	160	66	a	a	DET
cana-3484	160	67	supporting	support	VERB
cana-3484	160	68	interval	interval	NOUN
cana-3484	160	69	[	[	X
cana-3484	160	70	1628	1628	NUM
cana-3484	160	71	,	,	PUNCT
cana-3484	160	72	1862	1862	NUM
cana-3484	160	73	]	]	PUNCT
cana-3484	160	74	.	.	PUNCT
cana-3484	161	1	moreover	moreover	ADV
cana-3484	161	2	,	,	PUNCT
cana-3484	161	3	17453	17453	NUM
cana-3484	161	4	=	=	SYM
cana-3484	161	5	l	l	NOUN
cana-3484	161	6	and	and	CCONJ
cana-3484	161	7	13=	13=	NUM
cana-3484	161	8	3	3	NUM
cana-3484	161	9	2	2	NUM
cana-3484	161	10	4	4	NUM
cana-3484	161	11	3l	3l	NUM
cana-3484	161	12	l	l	NOUN
cana-3484	161	13	l	l	NOUN
cana-3484	161	14	l−	l−	NOUN
cana-3484	161	15	=	=	SYM
cana-3484	161	16	−	−	PROPN
cana-3484	161	17	.	.	PUNCT
cana-3484	162	1	the	the	DET
cana-3484	162	2			NOUN
cana-3484	162	3	-cut	-cut	VERB
cana-3484	162	4	for	for	ADP
cana-3484	162	5	1	1	NUM
cana-3484	162	6	2	2	NUM
cana-3484	162	7			NOUN
cana-3484	162	8	=	=	PUNCT
cana-3484	162	9	between	between	ADP
cana-3484	162	10	the	the	DET
cana-3484	162	11	points	point	NOUN
cana-3484	162	12	(	(	PUNCT
cana-3484	162	13	1732	1732	NUM
cana-3484	162	14	,	,	PUNCT
cana-3484	162	15	1758).the	1758).the	PRON
cana-3484	162	16	interval	interval	NOUN
cana-3484	162	17	of	of	ADP
cana-3484	162	18	confidence	confidence	NOUN
cana-3484	162	19	at	at	ADP
cana-3484	162	20	level	level	NOUN
cana-3484	162	21			NOUN
cana-3484	162	22	is	be	AUX
cana-3484	162	23	given	give	VERB
cana-3484	162	24	to	to	PART
cana-3484	162	25	be	be	AUX
cana-3484	162	26			PROPN
cana-3484	162	27	5.1803,5.1686=a	5.1803,5.1686=a	ADJ
cana-3484	162	28	.	.	PUNCT
cana-3484	163	1			NUM
cana-3484	163	2			NUM
cana-3484	163	3			NUM
cana-3484	163	4			NUM
cana-3484	163	5			NUM
cana-3484	163	6			NUM
cana-3484	163	7			NUM
cana-3484	163	8			NUM
cana-3484	163	9			NUM
cana-3484	163	10			NUM
cana-3484	163	11			NUM
cana-3484	163	12			NOUN
cana-3484	164	1			VERB
cana-3484	164	2	−	−	NOUN
cana-3484	164	3	+	+	SYM
cana-3484	165	1	−	−	NOUN
cana-3484	165	2	+	+	SYM
cana-3484	166	1	−	−	NOUN
cana-3484	167	1			NOUN
cana-3484	167	2	−	−	PROPN
cana-3484	167	3	=	=	PUNCT
cana-3484	167	4	otherwise	otherwise	ADV
cana-3484	167	5	xfor	xfor	PROPN
cana-3484	167	6	x	x	X
cana-3484	167	7	xfor	xfor	PROPN
cana-3484	167	8	x	x	SYM
cana-3484	167	9	xfor	xfor	PROPN
cana-3484	167	10	x	x	X
cana-3484	167	11	xfor	xfor	PROPN
cana-3484	167	12	x	x	X
cana-3484	167	13	x	x	X
cana-3484	167	14	a	a	PRON
cana-3484	167	15	0	0	NUM
cana-3484	167	16	18621758	18621758	NUM
cana-3484	167	17	21632	21632	NUM
cana-3484	167	18	)	)	PUNCT
cana-3484	167	19	1862	1862	NUM
cana-3484	167	20	(	(	PUNCT
cana-3484	167	21	175817451	175817451	NUM
cana-3484	167	22	338	338	NUM
cana-3484	167	23	)	)	PUNCT
cana-3484	167	24	1745	1745	NUM
cana-3484	167	25	(	(	PUNCT
cana-3484	167	26	174517321	174517321	NUM
cana-3484	167	27	338	338	NUM
cana-3484	167	28	)	)	PUNCT
cana-3484	167	29	1732	1732	NUM
cana-3484	167	30	(	(	PUNCT
cana-3484	167	31	17321628	17321628	NUM
cana-3484	167	32	21632	21632	NUM
cana-3484	167	33	)	)	PUNCT
cana-3484	167	34	1628	1628	NUM
cana-3484	167	35	(	(	PUNCT
cana-3484	167	36	)	)	PUNCT
cana-3484	167	37	(	(	PUNCT
cana-3484	167	38	2	2	NUM
cana-3484	167	39	2	2	NUM
cana-3484	167	40	2	2	NUM
cana-3484	167	41	2	2	NUM
cana-3484	167	42	~	~	NUM
cana-3484	167	43	%	%	NOUN
cana-3484	167	44	matlab	matlab	PROPN
cana-3484	167	45	code	code	NOUN
cana-3484	167	46	to	to	PART
cana-3484	167	47	plot	plot	VERB
cana-3484	167	48	symmetric	symmetric	ADJ
cana-3484	167	49	bell	bell	NOUN
cana-3484	167	50	-	-	PUNCT
cana-3484	167	51	shaped	shape	VERB
cana-3484	167	52	fuzzy	fuzzy	ADJ
cana-3484	167	53	curve	curve	NOUN
cana-3484	167	54	computing	compute	VERB
cana-3484	167	55	the	the	DET
cana-3484	167	56	valuation	valuation	NOUN
cana-3484	167	57	of	of	ADP
cana-3484	167	58	piecewise	piecewise	NOUN
cana-3484	167	59	quadratic	quadratic	ADJ
cana-3484	167	60	fuzzy	fuzzy	ADJ
cana-3484	167	61	number	number	NOUN
cana-3484	167	62	figure	figure	NOUN
cana-3484	167	63	1	1	NUM
cana-3484	167	64	.	.	PUNCT
cana-3484	168	1	symmetric	symmetric	ADJ
cana-3484	168	2	bell	bell	PROPN
cana-3484	168	3	shaped	shape	VERB
cana-3484	168	4	fuzzy	fuzzy	ADJ
cana-3484	168	5	curve	curve	NOUN
cana-3484	168	6	with	with	ADP
cana-3484	168	7			NOUN
cana-3484	168	8	-cut	-cut	ADJ
cana-3484	168	9	communications	communication	NOUN
cana-3484	168	10	on	on	ADP
cana-3484	168	11	applied	apply	VERB
cana-3484	168	12	nonlinear	nonlinear	ADJ
cana-3484	168	13	analysis	analysis	NOUN
cana-3484	168	14	issn	issn	NOUN
cana-3484	168	15	:	:	PUNCT
cana-3484	168	16	1074	1074	NUM
cana-3484	168	17	-	-	PUNCT
cana-3484	168	18	133x	133x	NUM
cana-3484	168	19	vol	vol	NOUN
cana-3484	168	20	32	32	NUM
cana-3484	168	21	no	no	NOUN
cana-3484	168	22	.	.	PUNCT
cana-3484	169	1	7s	7	NOUN
cana-3484	169	2	(	(	PUNCT
cana-3484	169	3	2025	2025	NUM
cana-3484	169	4	)	)	PUNCT
cana-3484	169	5	774	774	NUM
cana-3484	169	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	169	7	4	4	X
cana-3484	169	8	.	.	X
cana-3484	170	1	piecewise	piecewise	NOUN
cana-3484	170	2	quadratic	quadratic	ADJ
cana-3484	170	3	fuzzy	fuzzy	ADJ
cana-3484	170	4	modified	modify	VERB
cana-3484	170	5	distribution	distribution	NOUN
cana-3484	170	6	method	method	NOUN
cana-3484	170	7	(	(	PUNCT
cana-3484	170	8	pqfmodi	pqfmodi	NOUN
cana-3484	170	9	)	)	PUNCT
cana-3484	170	10	the	the	DET
cana-3484	170	11	pqfmodi	pqfmodi	NOUN
cana-3484	170	12	is	be	AUX
cana-3484	170	13	an	an	DET
cana-3484	170	14	effective	effective	ADJ
cana-3484	170	15	technique	technique	NOUN
cana-3484	170	16	for	for	ADP
cana-3484	170	17	verifying	verify	VERB
cana-3484	170	18	the	the	DET
cana-3484	170	19	optimality	optimality	NOUN
cana-3484	170	20	of	of	ADP
cana-3484	170	21	the	the	DET
cana-3484	170	22	initial	initial	ADJ
cana-3484	170	23	feasible	feasible	ADJ
cana-3484	170	24	solution	solution	NOUN
cana-3484	170	25	in	in	ADP
cana-3484	170	26	transportation	transportation	NOUN
cana-3484	170	27	problems	problem	NOUN
cana-3484	170	28	.	.	PUNCT
cana-3484	171	1	4.1	4.1	NUM
cana-3484	171	2	algorithm	algorithm	NOUN
cana-3484	171	3	the	the	DET
cana-3484	171	4	pqfmodi	pqfmodi	NOUN
cana-3484	171	5	,	,	PUNCT
cana-3484	171	6	also	also	ADV
cana-3484	171	7	known	know	VERB
cana-3484	171	8	as	as	ADP
cana-3484	171	9	the	the	DET
cana-3484	171	10	u−v	u−v	NOUN
cana-3484	171	11	method	method	NOUN
cana-3484	171	12	,	,	PUNCT
cana-3484	171	13	offers	offer	VERB
cana-3484	171	14	an	an	DET
cana-3484	171	15	efficient	efficient	ADJ
cana-3484	171	16	approach	approach	NOUN
cana-3484	171	17	to	to	ADP
cana-3484	171	18	finding	find	VERB
cana-3484	171	19	the	the	DET
cana-3484	171	20	minimum	minimum	ADJ
cana-3484	171	21	-	-	PUNCT
cana-3484	171	22	cost	cost	NOUN
cana-3484	171	23	solution	solution	NOUN
cana-3484	171	24	for	for	ADP
cana-3484	171	25	transportation	transportation	NOUN
cana-3484	171	26	problems	problem	NOUN
cana-3484	171	27	.	.	PUNCT
cana-3484	172	1	unlike	unlike	ADP
cana-3484	172	2	the	the	DET
cana-3484	172	3	stepping	step	VERB
cana-3484	172	4	stone	stone	NOUN
cana-3484	172	5	method	method	NOUN
cana-3484	172	6	,	,	PUNCT
cana-3484	172	7	which	which	PRON
cana-3484	172	8	requires	require	VERB
cana-3484	172	9	evaluating	evaluate	VERB
cana-3484	172	10	costs	cost	NOUN
cana-3484	172	11	for	for	ADP
cana-3484	172	12	all	all	DET
cana-3484	172	13	unoccupied	unoccupied	ADJ
cana-3484	172	14	cells	cell	NOUN
cana-3484	172	15	by	by	ADP
cana-3484	172	16	drawing	draw	VERB
cana-3484	172	17	closed	closed	ADJ
cana-3484	172	18	paths	path	NOUN
cana-3484	172	19	,	,	PUNCT
cana-3484	172	20	the	the	DET
cana-3484	172	21	pqfmodi	pqfmodi	NOUN
cana-3484	172	22	method	method	NOUN
cana-3484	172	23	only	only	ADV
cana-3484	172	24	needs	need	VERB
cana-3484	172	25	one	one	NUM
cana-3484	172	26	closed	closed	ADJ
cana-3484	172	27	path	path	NOUN
cana-3484	172	28	for	for	ADP
cana-3484	172	29	the	the	DET
cana-3484	172	30	unoccupied	unoccupied	ADJ
cana-3484	172	31	cell	cell	NOUN
cana-3484	172	32	with	with	ADP
cana-3484	172	33	the	the	DET
cana-3484	172	34	highest	high	ADJ
cana-3484	172	35	opportunity	opportunity	NOUN
cana-3484	172	36	cost	cost	NOUN
cana-3484	172	37	.	.	PUNCT
cana-3484	173	1	step	step	NOUN
cana-3484	173	2	1	1	NUM
cana-3484	173	3	:	:	PUNCT
cana-3484	173	4	determine	determine	VERB
cana-3484	173	5	initial	initial	ADJ
cana-3484	173	6	basic	basic	ADJ
cana-3484	173	7	feasible	feasible	ADJ
cana-3484	173	8	solution	solution	NOUN
cana-3484	173	9	start	start	VERB
cana-3484	173	10	by	by	ADP
cana-3484	173	11	finding	find	VERB
cana-3484	173	12	an	an	DET
cana-3484	173	13	initial	initial	ADJ
cana-3484	173	14	feasible	feasible	ADJ
cana-3484	173	15	solution	solution	NOUN
cana-3484	173	16	using	use	VERB
cana-3484	173	17	piecewise	piecewise	NOUN
cana-3484	173	18	quadratic	quadratic	ADJ
cana-3484	173	19	fuzzy	fuzzy	ADJ
cana-3484	173	20	vogel	vogel	NOUN
cana-3484	173	21	’s	’s	PART
cana-3484	173	22	approximation	approximation	NOUN
cana-3484	173	23	method	method	NOUN
cana-3484	173	24	.	.	PUNCT
cana-3484	174	1	step	step	NOUN
cana-3484	174	2	2	2	NUM
cana-3484	174	3	:	:	PUNCT
cana-3484	174	4	calculate	calculate	VERB
cana-3484	174	5	dual	dual	ADJ
cana-3484	174	6	variables	variable	NOUN
cana-3484	174	7	ui	ui	PROPN
cana-3484	174	8	and	and	CCONJ
cana-3484	174	9	vj	vj	INTJ
cana-3484	174	10	determine	determine	VERB
cana-3484	174	11	the	the	DET
cana-3484	174	12	values	value	NOUN
cana-3484	174	13	of	of	ADP
cana-3484	174	14	the	the	DET
cana-3484	174	15	dual	dual	ADJ
cana-3484	174	16	variables	variable	NOUN
cana-3484	174	17	ui	ui	PROPN
cana-3484	174	18	and	and	CCONJ
cana-3484	174	19	vj	vj	NOUN
cana-3484	174	20	for	for	ADP
cana-3484	174	21	each	each	DET
cana-3484	174	22	row	row	NOUN
cana-3484	174	23	and	and	CCONJ
cana-3484	174	24	column	column	NOUN
cana-3484	174	25	.	.	PUNCT
cana-3484	175	1	step	step	VERB
cana-3484	175	2	3	3	NUM
cana-3484	175	3	:	:	PUNCT
cana-3484	175	4	compute	compute	NOUN
cana-3484	175	5	opportunity	opportunity	NOUN
cana-3484	175	6	costs	cost	NOUN
cana-3484	175	7	calculate	calculate	VERB
cana-3484	175	8	the	the	DET
cana-3484	175	9	opportunity	opportunity	NOUN
cana-3484	175	10	cost	cost	NOUN
cana-3484	175	11	for	for	ADP
cana-3484	175	12	each	each	DET
cana-3484	175	13	unoccupied	unoccupied	ADJ
cana-3484	175	14	cell	cell	NOUN
cana-3484	175	15	.	.	PUNCT
cana-3484	176	1	step4	step4	PROPN
cana-3484	176	2	:	:	PUNCT
cana-3484	176	3	evaluate	evaluate	VERB
cana-3484	176	4	opportunity	opportunity	NOUN
cana-3484	176	5	costs	cost	NOUN
cana-3484	176	6	(	(	PUNCT
cana-3484	176	7	i	i	NOUN
cana-3484	176	8	)	)	PUNCT
cana-3484	176	9	if	if	SCONJ
cana-3484	176	10	all	all	DET
cana-3484	176	11	unoccupied	unoccupied	ADJ
cana-3484	176	12	cells	cell	NOUN
cana-3484	176	13	have	have	VERB
cana-3484	176	14	opportunity	opportunity	NOUN
cana-3484	176	15	costs	cost	NOUN
cana-3484	176	16	that	that	PRON
cana-3484	176	17	are	be	AUX
cana-3484	176	18	positive	positive	ADJ
cana-3484	176	19	or	or	CCONJ
cana-3484	176	20	zero	zero	NUM
cana-3484	176	21	,	,	PUNCT
cana-3484	176	22	the	the	DET
cana-3484	176	23	solution	solution	NOUN
cana-3484	176	24	is	be	AUX
cana-3484	176	25	optimal	optimal	ADJ
cana-3484	176	26	.	.	PUNCT
cana-3484	177	1	(	(	PUNCT
cana-3484	177	2	ii)if	ii)if	ADP
cana-3484	177	3	any	any	DET
cana-3484	177	4	unoccupied	unoccupied	ADJ
cana-3484	177	5	cell	cell	NOUN
cana-3484	177	6	has	have	VERB
cana-3484	177	7	a	a	DET
cana-3484	177	8	negative	negative	ADJ
cana-3484	177	9	opportunity	opportunity	NOUN
cana-3484	177	10	cost	cost	NOUN
cana-3484	177	11	,	,	PUNCT
cana-3484	177	12	the	the	DET
cana-3484	177	13	solution	solution	NOUN
cana-3484	177	14	is	be	AUX
cana-3484	177	15	not	not	PART
cana-3484	177	16	optimal	optimal	ADJ
cana-3484	177	17	,	,	PUNCT
cana-3484	177	18	and	and	CCONJ
cana-3484	177	19	further	further	ADJ
cana-3484	177	20	cost	cost	NOUN
cana-3484	177	21	reduction	reduction	NOUN
cana-3484	177	22	is	be	AUX
cana-3484	177	23	possible	possible	ADJ
cana-3484	177	24	.	.	PUNCT
cana-3484	178	1	step	step	NOUN
cana-3484	178	2	5	5	NUM
cana-3484	178	3	:	:	PUNCT
cana-3484	178	4	select	select	ADJ
cana-3484	178	5	cell	cell	NOUN
cana-3484	178	6	with	with	ADP
cana-3484	178	7	smallest	small	ADJ
cana-3484	178	8	negative	negative	ADJ
cana-3484	178	9	opportunity	opportunity	NOUN
cana-3484	178	10	cost	cost	NOUN
cana-3484	178	11	choose	choose	VERB
cana-3484	178	12	the	the	DET
cana-3484	178	13	unoccupied	unoccupied	ADJ
cana-3484	178	14	cell	cell	NOUN
cana-3484	178	15	with	with	ADP
cana-3484	178	16	the	the	DET
cana-3484	178	17	most	most	ADV
cana-3484	178	18	negative	negative	ADJ
cana-3484	178	19	opportunity	opportunity	NOUN
cana-3484	178	20	cost	cost	NOUN
cana-3484	178	21	for	for	ADP
cana-3484	178	22	the	the	DET
cana-3484	178	23	next	next	ADJ
cana-3484	178	24	iteration	iteration	NOUN
cana-3484	178	25	.	.	PUNCT
cana-3484	179	1	step	step	NOUN
cana-3484	179	2	6	6	NUM
cana-3484	179	3	:	:	PUNCT
cana-3484	179	4	draw	draw	VERB
cana-3484	179	5	closed	closed	ADJ
cana-3484	179	6	path	path	NOUN
cana-3484	179	7	for	for	ADP
cana-3484	179	8	selected	select	VERB
cana-3484	179	9	cell	cell	NOUN
cana-3484	179	10	draw	draw	VERB
cana-3484	179	11	a	a	DET
cana-3484	179	12	closed	closed	ADJ
cana-3484	179	13	path	path	NOUN
cana-3484	179	14	or	or	CCONJ
cana-3484	179	15	loop	loop	NOUN
cana-3484	179	16	starting	start	VERB
cana-3484	179	17	from	from	ADP
cana-3484	179	18	the	the	DET
cana-3484	179	19	selected	select	VERB
cana-3484	179	20	cell	cell	NOUN
cana-3484	179	21	.	.	PUNCT
cana-3484	180	1	right	right	ADJ
cana-3484	180	2	-	-	PUNCT
cana-3484	180	3	angle	angle	NOUN
cana-3484	180	4	turns	turn	NOUN
cana-3484	180	5	are	be	AUX
cana-3484	180	6	allowed	allow	VERB
cana-3484	180	7	only	only	ADV
cana-3484	180	8	at	at	ADP
cana-3484	180	9	occupied	occupy	VERB
cana-3484	180	10	cells	cell	NOUN
cana-3484	180	11	and	and	CCONJ
cana-3484	180	12	the	the	DET
cana-3484	180	13	initially	initially	ADV
cana-3484	180	14	selected	select	VERB
cana-3484	180	15	unoccupied	unoccupied	ADJ
cana-3484	180	16	cell	cell	NOUN
cana-3484	180	17	.	.	PUNCT
cana-3484	181	1	step	step	NOUN
cana-3484	181	2	7	7	NUM
cana-3484	181	3	:	:	PUNCT
cana-3484	181	4	assign	assign	VERB
cana-3484	181	5	signs	sign	NOUN
cana-3484	181	6	on	on	ADP
cana-3484	181	7	path	path	NOUN
cana-3484	181	8	cells	cell	NOUN
cana-3484	181	9	mark	mark	VERB
cana-3484	181	10	the	the	DET
cana-3484	181	11	corner	corner	NOUN
cana-3484	181	12	cells	cell	NOUN
cana-3484	181	13	of	of	ADP
cana-3484	181	14	the	the	DET
cana-3484	181	15	closed	closed	ADJ
cana-3484	181	16	path	path	NOUN
cana-3484	181	17	with	with	ADP
cana-3484	181	18	alternating	alternating	NOUN
cana-3484	181	19	plus	plus	CCONJ
cana-3484	181	20	and	and	CCONJ
cana-3484	181	21	minus	minus	NUM
cana-3484	181	22	signs	sign	NOUN
cana-3484	181	23	,	,	PUNCT
cana-3484	181	24	starting	start	VERB
cana-3484	181	25	with	with	ADP
cana-3484	181	26	a	a	DET
cana-3484	181	27	plus	plus	ADJ
cana-3484	181	28	sign	sign	NOUN
cana-3484	181	29	on	on	ADP
cana-3484	181	30	the	the	DET
cana-3484	181	31	cell	cell	NOUN
cana-3484	181	32	being	be	AUX
cana-3484	181	33	evaluated	evaluate	VERB
cana-3484	181	34	.	.	PUNCT
cana-3484	182	1	communications	communication	NOUN
cana-3484	182	2	on	on	ADP
cana-3484	182	3	applied	apply	VERB
cana-3484	182	4	nonlinear	nonlinear	ADJ
cana-3484	182	5	analysis	analysis	NOUN
cana-3484	182	6	issn	issn	NOUN
cana-3484	182	7	:	:	PUNCT
cana-3484	182	8	1074	1074	NUM
cana-3484	182	9	-	-	PUNCT
cana-3484	182	10	133x	133x	NUM
cana-3484	182	11	vol	vol	NOUN
cana-3484	182	12	32	32	NUM
cana-3484	182	13	no	no	NOUN
cana-3484	182	14	.	.	PUNCT
cana-3484	183	1	7s	7	NOUN
cana-3484	183	2	(	(	PUNCT
cana-3484	183	3	2025	2025	NUM
cana-3484	183	4	)	)	PUNCT
cana-3484	183	5	775	775	NUM
cana-3484	183	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	183	7	step	step	NOUN
cana-3484	183	8	8	8	NUM
cana-3484	183	9	:	:	PUNCT
cana-3484	183	10	determine	determine	VERB
cana-3484	183	11	units	unit	NOUN
cana-3484	183	12	to	to	PART
cana-3484	183	13	ship	ship	NOUN
cana-3484	183	14	determine	determine	VERB
cana-3484	183	15	the	the	DET
cana-3484	183	16	maximum	maximum	ADJ
cana-3484	183	17	number	number	NOUN
cana-3484	183	18	of	of	ADP
cana-3484	183	19	units	unit	NOUN
cana-3484	183	20	that	that	PRON
cana-3484	183	21	can	can	AUX
cana-3484	183	22	be	be	AUX
cana-3484	183	23	shipped	ship	VERB
cana-3484	183	24	to	to	ADP
cana-3484	183	25	the	the	DET
cana-3484	183	26	selected	select	VERB
cana-3484	183	27	unoccupied	unoccupied	ADJ
cana-3484	183	28	cell	cell	NOUN
cana-3484	183	29	.	.	PUNCT
cana-3484	184	1	this	this	PRON
cana-3484	184	2	is	be	AUX
cana-3484	184	3	based	base	VERB
cana-3484	184	4	on	on	ADP
cana-3484	184	5	the	the	DET
cana-3484	184	6	smallest	small	ADJ
cana-3484	184	7	value	value	NOUN
cana-3484	184	8	at	at	ADP
cana-3484	184	9	the	the	DET
cana-3484	184	10	cells	cell	NOUN
cana-3484	184	11	marked	mark	VERB
cana-3484	184	12	with	with	ADP
cana-3484	184	13	a	a	DET
cana-3484	184	14	minus	minus	NOUN
cana-3484	184	15	sign	sign	NOUN
cana-3484	184	16	.	.	PUNCT
cana-3484	185	1	add	add	VERB
cana-3484	185	2	this	this	DET
cana-3484	185	3	quantity	quantity	NOUN
cana-3484	185	4	to	to	ADP
cana-3484	185	5	cells	cell	NOUN
cana-3484	185	6	marked	mark	VERB
cana-3484	185	7	with	with	ADP
cana-3484	185	8	a	a	DET
cana-3484	185	9	plus	plus	CCONJ
cana-3484	185	10	and	and	CCONJ
cana-3484	185	11	subtract	subtract	VERB
cana-3484	185	12	it	it	PRON
cana-3484	185	13	from	from	ADP
cana-3484	185	14	cells	cell	NOUN
cana-3484	185	15	marked	mark	VERB
cana-3484	185	16	with	with	ADP
cana-3484	185	17	a	a	DET
cana-3484	185	18	minus	minus	NOUN
cana-3484	185	19	to	to	PART
cana-3484	185	20	adjust	adjust	VERB
cana-3484	185	21	the	the	DET
cana-3484	185	22	allocations	allocation	NOUN
cana-3484	185	23	.	.	PUNCT
cana-3484	186	1	the	the	DET
cana-3484	186	2	unoccupied	unoccupied	ADJ
cana-3484	186	3	cell	cell	NOUN
cana-3484	186	4	becomes	become	VERB
cana-3484	186	5	occupied	occupy	VERB
cana-3484	186	6	.	.	PUNCT
cana-3484	187	1	step	step	NOUN
cana-3484	187	2	9	9	NUM
cana-3484	187	3	:	:	PUNCT
cana-3484	187	4	repeat	repeat	VERB
cana-3484	187	5	until	until	SCONJ
cana-3484	187	6	optimal	optimal	ADJ
cana-3484	187	7	solution	solution	NOUN
cana-3484	187	8	is	be	AUX
cana-3484	187	9	achieved	achieve	VERB
cana-3484	187	10	continue	continue	VERB
cana-3484	187	11	this	this	DET
cana-3484	187	12	process	process	NOUN
cana-3484	187	13	until	until	SCONJ
cana-3484	187	14	all	all	DET
cana-3484	187	15	opportunity	opportunity	NOUN
cana-3484	187	16	costs	cost	NOUN
cana-3484	187	17	for	for	ADP
cana-3484	187	18	unoccupied	unoccupied	ADJ
cana-3484	187	19	cells	cell	NOUN
cana-3484	187	20	are	be	AUX
cana-3484	187	21	positive	positive	ADJ
cana-3484	187	22	or	or	CCONJ
cana-3484	187	23	zero	zero	NUM
cana-3484	187	24	,	,	PUNCT
cana-3484	187	25	indicating	indicate	VERB
cana-3484	187	26	an	an	DET
cana-3484	187	27	optimal	optimal	ADJ
cana-3484	187	28	solution	solution	NOUN
cana-3484	187	29	.	.	PUNCT
cana-3484	188	1	4.2	4.2	NUM
cana-3484	188	2	degeneracy	degeneracy	NOUN
cana-3484	188	3	in	in	ADP
cana-3484	188	4	transportation	transportation	NOUN
cana-3484	188	5	problems	problem	NOUN
cana-3484	188	6	a	a	DET
cana-3484	188	7	transportation	transportation	NOUN
cana-3484	188	8	problem	problem	NOUN
cana-3484	188	9	is	be	AUX
cana-3484	188	10	considered	consider	VERB
cana-3484	188	11	degenerate	degenerate	ADJ
cana-3484	188	12	when	when	SCONJ
cana-3484	188	13	the	the	DET
cana-3484	188	14	number	number	NOUN
cana-3484	188	15	of	of	ADP
cana-3484	188	16	positive	positive	ADJ
cana-3484	188	17	allocations	allocation	NOUN
cana-3484	188	18	(	(	PUNCT
cana-3484	188	19	occupied	occupy	VERB
cana-3484	188	20	cells	cell	NOUN
cana-3484	188	21	)	)	PUNCT
cana-3484	188	22	is	be	AUX
cana-3484	188	23	less	less	ADJ
cana-3484	188	24	than	than	ADP
cana-3484	188	25	m+n−1	m+n−1	PROPN
cana-3484	188	26	,	,	PUNCT
cana-3484	188	27	where	where	SCONJ
cana-3484	188	28	m	m	NOUN
cana-3484	188	29	represents	represent	VERB
cana-3484	188	30	origins	origin	NOUN
cana-3484	188	31	and	and	CCONJ
cana-3484	188	32	n	n	PRON
cana-3484	188	33	represents	represent	VERB
cana-3484	188	34	destinations	destination	NOUN
cana-3484	188	35	.	.	PUNCT
cana-3484	189	1	degeneracy	degeneracy	NOUN
cana-3484	189	2	can	can	AUX
cana-3484	189	3	occur	occur	VERB
cana-3484	189	4	in	in	ADP
cana-3484	189	5	two	two	NUM
cana-3484	189	6	stages	stage	NOUN
cana-3484	189	7	:	:	PUNCT
cana-3484	189	8	1	1	X
cana-3484	189	9	.	.	PUNCT
cana-3484	189	10	initial	initial	ADJ
cana-3484	189	11	solution	solution	NOUN
cana-3484	189	12	:	:	PUNCT
cana-3484	189	13	when	when	SCONJ
cana-3484	189	14	setting	set	VERB
cana-3484	189	15	up	up	ADP
cana-3484	189	16	the	the	DET
cana-3484	189	17	initial	initial	ADJ
cana-3484	189	18	feasible	feasible	ADJ
cana-3484	189	19	solution	solution	NOUN
cana-3484	189	20	.	.	PUNCT
cana-3484	190	1	2	2	X
cana-3484	190	2	.	.	X
cana-3484	190	3	testing	test	VERB
cana-3484	190	4	optimality	optimality	NOUN
cana-3484	190	5	:	:	PUNCT
cana-3484	190	6	when	when	SCONJ
cana-3484	190	7	evaluating	evaluate	VERB
cana-3484	190	8	the	the	DET
cana-3484	190	9	current	current	ADJ
cana-3484	190	10	solution	solution	NOUN
cana-3484	190	11	for	for	ADP
cana-3484	190	12	optimality	optimality	NOUN
cana-3484	190	13	.	.	PUNCT
cana-3484	191	1	to	to	PART
cana-3484	191	2	resolve	resolve	VERB
cana-3484	191	3	degeneracy	degeneracy	NOUN
cana-3484	191	4	,	,	PUNCT
cana-3484	191	5	an	an	DET
cana-3484	191	6	artificial	artificial	ADJ
cana-3484	191	7	quantity	quantity	NOUN
cana-3484	191	8	is	be	AUX
cana-3484	191	9	assigned	assign	VERB
cana-3484	191	10	to	to	ADP
cana-3484	191	11	the	the	DET
cana-3484	191	12	unoccupied	unoccupied	ADJ
cana-3484	191	13	cell	cell	NOUN
cana-3484	191	14	with	with	ADP
cana-3484	191	15	the	the	DET
cana-3484	191	16	lowest	low	ADJ
cana-3484	191	17	transportation	transportation	NOUN
cana-3484	191	18	cost	cost	NOUN
cana-3484	191	19	,	,	PUNCT
cana-3484	191	20	helping	help	VERB
cana-3484	191	21	to	to	PART
cana-3484	191	22	proceed	proceed	VERB
cana-3484	191	23	with	with	ADP
cana-3484	191	24	the	the	DET
cana-3484	191	25	calculations	calculation	NOUN
cana-3484	191	26	and	and	CCONJ
cana-3484	191	27	maintain	maintain	VERB
cana-3484	191	28	feasibility	feasibility	NOUN
cana-3484	191	29	.	.	PUNCT
cana-3484	192	1	4.3	4.3	NUM
cana-3484	192	2	numerical	numerical	ADJ
cana-3484	192	3	examples	example	NOUN
cana-3484	192	4	with	with	ADP
cana-3484	192	5	piecewise	piecewise	NOUN
cana-3484	192	6	quadratic	quadratic	ADJ
cana-3484	192	7	fuzzy	fuzzy	ADJ
cana-3484	192	8	modi	modi	PROPN
cana-3484	192	9	method	method	VERB
cana-3484	192	10	plant	plant	NOUN
cana-3484	192	11	1	1	NUM
cana-3484	192	12	plant	plant	NOUN
cana-3484	192	13	2	2	NUM
cana-3484	192	14	plant	plant	NOUN
cana-3484	192	15	3	3	NUM
cana-3484	192	16	supply	supply	NOUN
cana-3484	192	17	hub	hub	NOUN
cana-3484	192	18	x	x	X
cana-3484	192	19	(	(	PUNCT
cana-3484	192	20	3,5,6,7,9	3,5,6,7,9	NUM
cana-3484	192	21	)	)	PUNCT
cana-3484	192	22	(	(	PUNCT
cana-3484	192	23	7,9,10,11,13	7,9,10,11,13	NUM
cana-3484	192	24	)	)	PUNCT
cana-3484	192	25	(	(	PUNCT
cana-3484	192	26	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	192	27	)	)	PUNCT
cana-3484	192	28	(	(	PUNCT
cana-3484	192	29	47,49,50,51,53	47,49,50,51,53	NOUN
cana-3484	192	30	)	)	PUNCT
cana-3484	192	31	hub	hub	NOUN
cana-3484	192	32	y	y	PROPN
cana-3484	192	33	(	(	PUNCT
cana-3484	192	34	9,11,12,13,15	9,11,12,13,15	NUM
cana-3484	192	35	)	)	PUNCT
cana-3484	192	36	(	(	PUNCT
cana-3484	192	37	16,18,19,20,22	16,18,19,20,22	NOUN
cana-3484	192	38	)	)	PUNCT
cana-3484	192	39	(	(	PUNCT
cana-3484	192	40	18,20,21,22,24	18,20,21,22,24	NUM
cana-3484	192	41	)	)	PUNCT
cana-3484	192	42	(	(	PUNCT
cana-3484	192	43	47,49,50,51,53	47,49,50,51,53	NOUN
cana-3484	192	44	)	)	PUNCT
cana-3484	192	45	hub	hub	NOUN
cana-3484	192	46	z	z	PROPN
cana-3484	192	47	(	(	PUNCT
cana-3484	192	48	12,14,15,16,18	12,14,15,16,18	NUM
cana-3484	192	49	)	)	PUNCT
cana-3484	192	50	(	(	PUNCT
cana-3484	192	51	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	192	52	)	)	PUNCT
cana-3484	192	53	(	(	PUNCT
cana-3484	192	54	14,16,17,18,20	14,16,17,18,20	NUM
cana-3484	192	55	)	)	PUNCT
cana-3484	192	56	(	(	PUNCT
cana-3484	192	57	47,49,50,51,53	47,49,50,51,53	NOUN
cana-3484	192	58	)	)	PUNCT
cana-3484	192	59	demand	demand	NOUN
cana-3484	192	60	(	(	PUNCT
cana-3484	192	61	27,29,30,31,33	27,29,30,31,33	NUM
cana-3484	192	62	)	)	PUNCT
cana-3484	192	63	(	(	PUNCT
cana-3484	192	64	37,39,40,41,43	37,39,40,41,43	NOUN
cana-3484	192	65	)	)	PUNCT
cana-3484	192	66	(	(	PUNCT
cana-3484	192	67	52,54,55,56,58	52,54,55,56,58	PROPN
cana-3484	192	68	)	)	PUNCT
cana-3484	192	69	table	table	NOUN
cana-3484	192	70	5	5	NUM
cana-3484	192	71	.	.	PUNCT
cana-3484	192	72	generalized	generalize	VERB
cana-3484	192	73	quadratic	quadratic	ADJ
cana-3484	192	74	fuzzy	fuzzy	ADJ
cana-3484	192	75	transportation	transportation	NOUN
cana-3484	192	76	table	table	NOUN
cana-3484	192	77	step	step	NOUN
cana-3484	192	78	1	1	NUM
cana-3484	192	79	plant	plant	NOUN
cana-3484	192	80	1	1	NUM
cana-3484	192	81	plant	plant	NOUN
cana-3484	192	82	2	2	NUM
cana-3484	192	83	plant	plant	NOUN
cana-3484	192	84	3	3	NUM
cana-3484	192	85	plant	plant	NOUN
cana-3484	192	86	4	4	NUM
cana-3484	192	87	supply	supply	NOUN
cana-3484	192	88	hub	hub	NOUN
cana-3484	192	89	x	x	X
cana-3484	192	90	(	(	PUNCT
cana-3484	192	91	3,5,6,7,9	3,5,6,7,9	NUM
cana-3484	192	92	)	)	PUNCT
cana-3484	192	93	(	(	PUNCT
cana-3484	192	94	7,9,10,11,13	7,9,10,11,13	NUM
cana-3484	192	95	)	)	PUNCT
cana-3484	192	96	(	(	PUNCT
cana-3484	192	97	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	192	98	)	)	PUNCT
cana-3484	192	99	(	(	PUNCT
cana-3484	192	100	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	192	101	)	)	PUNCT
cana-3484	192	102	(	(	PUNCT
cana-3484	192	103	47,49,50,51,53	47,49,50,51,53	X
cana-3484	192	104	)	)	PUNCT
cana-3484	192	105	communications	communication	NOUN
cana-3484	192	106	on	on	ADP
cana-3484	192	107	applied	apply	VERB
cana-3484	192	108	nonlinear	nonlinear	ADJ
cana-3484	192	109	analysis	analysis	NOUN
cana-3484	192	110	issn	issn	NOUN
cana-3484	192	111	:	:	PUNCT
cana-3484	192	112	1074	1074	NUM
cana-3484	192	113	-	-	PUNCT
cana-3484	192	114	133x	133x	NUM
cana-3484	192	115	vol	vol	NOUN
cana-3484	192	116	32	32	NUM
cana-3484	192	117	no	no	NOUN
cana-3484	192	118	.	.	PUNCT
cana-3484	193	1	7s	7	NOUN
cana-3484	193	2	(	(	PUNCT
cana-3484	193	3	2025	2025	NUM
cana-3484	193	4	)	)	PUNCT
cana-3484	193	5	776	776	NUM
cana-3484	193	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	193	7	hub	hub	NOUN
cana-3484	193	8	y	y	PROPN
cana-3484	193	9	(	(	PUNCT
cana-3484	193	10	9,11,12,13,15	9,11,12,13,15	NUM
cana-3484	193	11	)	)	PUNCT
cana-3484	193	12	(	(	PUNCT
cana-3484	193	13	16,18,19,20,22	16,18,19,20,22	NOUN
cana-3484	193	14	)	)	PUNCT
cana-3484	193	15	(	(	PUNCT
cana-3484	193	16	18,20,21,22,24	18,20,21,22,24	NUM
cana-3484	193	17	)	)	PUNCT
cana-3484	193	18	(	(	PUNCT
cana-3484	193	19	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	193	20	)	)	PUNCT
cana-3484	193	21	(	(	PUNCT
cana-3484	193	22	47,49,50,51,53	47,49,50,51,53	NOUN
cana-3484	193	23	)	)	PUNCT
cana-3484	193	24	hub	hub	NOUN
cana-3484	193	25	z	z	PROPN
cana-3484	193	26	(	(	PUNCT
cana-3484	193	27	12,14,15,16,18	12,14,15,16,18	NUM
cana-3484	193	28	)	)	PUNCT
cana-3484	193	29	(	(	PUNCT
cana-3484	193	30	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	193	31	)	)	PUNCT
cana-3484	193	32	(	(	PUNCT
cana-3484	193	33	14,16,17,18,20	14,16,17,18,20	NUM
cana-3484	193	34	)	)	PUNCT
cana-3484	193	35	(	(	PUNCT
cana-3484	193	36	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	193	37	)	)	PUNCT
cana-3484	193	38	(	(	PUNCT
cana-3484	193	39	47,49,50,51,53	47,49,50,51,53	NOUN
cana-3484	193	40	)	)	PUNCT
cana-3484	193	41	demand	demand	NOUN
cana-3484	193	42	(	(	PUNCT
cana-3484	193	43	27,29,30,31,33	27,29,30,31,33	NUM
cana-3484	193	44	)	)	PUNCT
cana-3484	193	45	(	(	PUNCT
cana-3484	193	46	37,39,40,41,43	37,39,40,41,43	NOUN
cana-3484	193	47	)	)	PUNCT
cana-3484	193	48	(	(	PUNCT
cana-3484	193	49	52,54,55,56,58	52,54,55,56,58	PROPN
cana-3484	193	50	)	)	PUNCT
cana-3484	193	51	(	(	PUNCT
cana-3484	193	52	22,24,25,26,28	22,24,25,26,28	NOUN
cana-3484	193	53	)	)	PUNCT
cana-3484	193	54	table	table	NOUN
cana-3484	193	55	6	6	NUM
cana-3484	193	56	.	.	PUNCT
cana-3484	193	57	balanced	balance	VERB
cana-3484	193	58	generalized	generalized	ADJ
cana-3484	193	59	quadratic	quadratic	ADJ
cana-3484	193	60	fuzzy	fuzzy	ADJ
cana-3484	193	61	transportation	transportation	NOUN
cana-3484	193	62	table	table	NOUN
cana-3484	193	63	step	step	NOUN
cana-3484	193	64	2	2	NUM
cana-3484	193	65	,	,	PUNCT
cana-3484	193	66	initial	initial	ADJ
cana-3484	193	67	basic	basic	ADJ
cana-3484	193	68	feasible	feasible	ADJ
cana-3484	193	69	solution	solution	NOUN
cana-3484	193	70	using	use	VERB
cana-3484	193	71	pqfvam	pqfvam	NOUN
cana-3484	193	72	.	.	PUNCT
cana-3484	194	1	let	let	VERB
cana-3484	194	2	us	we	PRON
cana-3484	194	3	use	use	VERB
cana-3484	194	4	the	the	DET
cana-3484	194	5	pqfvam	pqfvam	NOUN
cana-3484	194	6	to	to	PART
cana-3484	194	7	find	find	VERB
cana-3484	194	8	the	the	DET
cana-3484	194	9	initial	initial	ADJ
cana-3484	194	10	basic	basic	ADJ
cana-3484	194	11	feasible	feasible	ADJ
cana-3484	194	12	solution	solution	NOUN
cana-3484	194	13	.	.	PUNCT
cana-3484	195	1	in	in	ADP
cana-3484	195	2	the	the	DET
cana-3484	195	3	previous	previous	ADJ
cana-3484	195	4	problems	problem	NOUN
cana-3484	195	5	pqfvam	pqfvam	NOUN
cana-3484	195	6	method	method	NOUN
cana-3484	195	7	is	be	AUX
cana-3484	195	8	used	use	VERB
cana-3484	195	9	to	to	PART
cana-3484	195	10	solve	solve	VERB
cana-3484	195	11	to	to	ADP
cana-3484	195	12	this	this	DET
cana-3484	195	13	problem	problem	NOUN
cana-3484	195	14	.	.	PUNCT
cana-3484	196	1	1v	1v	NUM
cana-3484	196	2	2v	2v	PROPN
cana-3484	196	3	3v	3v	NUM
cana-3484	196	4	4v	4v	NUM
cana-3484	196	5	1u	1u	NUM
cana-3484	196	6	(	(	PUNCT
cana-3484	196	7	3,5,6,7,9	3,5,6,7,9	NUM
cana-3484	196	8	)	)	PUNCT
cana-3484	196	9	(	(	PUNCT
cana-3484	196	10	37,39,40,41,43	37,39,40,41,43	NOUN
cana-3484	196	11	)	)	PUNCT
cana-3484	196	12	(	(	PUNCT
cana-3484	196	13	4,8,10,12,16	4,8,10,12,16	NUM
cana-3484	196	14	)	)	PUNCT
cana-3484	196	15	(	(	PUNCT
cana-3484	196	16	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	196	17	)	)	PUNCT
cana-3484	196	18	(	(	PUNCT
cana-3484	196	19	7,9,10,11,13	7,9,10,11,13	NUM
cana-3484	196	20	)	)	PUNCT
cana-3484	196	21	(	(	PUNCT
cana-3484	196	22	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	196	23	)	)	PUNCT
cana-3484	196	24	2u	2u	NOUN
cana-3484	196	25	(	(	PUNCT
cana-3484	196	26	27,29,30,31,33	27,29,30,31,33	NUM
cana-3484	196	27	)	)	PUNCT
cana-3484	196	28	(	(	PUNCT
cana-3484	196	29	16,18,19,20,22	16,18,19,20,22	NOUN
cana-3484	196	30	)	)	PUNCT
cana-3484	196	31	(	(	PUNCT
cana-3484	196	32	14,18,20,22,26	14,18,20,22,26	NUM
cana-3484	196	33	)	)	PUNCT
cana-3484	196	34	(	(	PUNCT
cana-3484	196	35	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	196	36	)	)	PUNCT
cana-3484	196	37	(	(	PUNCT
cana-3484	196	38	9,11,12,13,15	9,11,12,13,15	NUM
cana-3484	196	39	)	)	PUNCT
cana-3484	196	40	(	(	PUNCT
cana-3484	196	41	18,20,21,22,24	18,20,21,22,24	NUM
cana-3484	196	42	)	)	PUNCT
cana-3484	196	43	3u	3u	PROPN
cana-3484	196	44	(	(	PUNCT
cana-3484	196	45	12,14,15,16,18	12,14,15,16,18	NUM
cana-3484	196	46	)	)	PUNCT
cana-3484	196	47	(	(	PUNCT
cana-3484	196	48	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	196	49	)	)	PUNCT
cana-3484	196	50	(	(	PUNCT
cana-3484	196	51	4,18,25,32,46	4,18,25,32,46	NOUN
cana-3484	196	52	)	)	PUNCT
cana-3484	196	53	(	(	PUNCT
cana-3484	196	54	22,24,25,26,28	22,24,25,26,28	NOUN
cana-3484	196	55	)	)	PUNCT
cana-3484	196	56	(	(	PUNCT
cana-3484	196	57	14,16,17,18,20	14,16,17,18,20	NUM
cana-3484	196	58	)	)	PUNCT
cana-3484	196	59	(	(	PUNCT
cana-3484	196	60	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	196	61	)	)	PUNCT
cana-3484	196	62	table	table	NOUN
cana-3484	196	63	7	7	NUM
cana-3484	196	64	.	.	PUNCT
cana-3484	197	1	first	first	ADJ
cana-3484	197	2	optimal	optimal	ADJ
cana-3484	197	3	assignment	assignment	NOUN
cana-3484	197	4	generalized	generalize	VERB
cana-3484	197	5	quadratic	quadratic	ADJ
cana-3484	197	6	fuzzy	fuzzy	ADJ
cana-3484	197	7	transportation	transportation	NOUN
cana-3484	197	8	table	table	NOUN
cana-3484	197	9	now	now	ADV
cana-3484	197	10	choose	choose	VERB
cana-3484	197	11	the	the	DET
cana-3484	197	12	smallest	small	ADJ
cana-3484	197	13	(	(	PUNCT
cana-3484	197	14	most	most	ADJ
cana-3484	197	15	)	)	PUNCT
cana-3484	197	16	negative	negative	ADJ
cana-3484	197	17	value	value	NOUN
cana-3484	197	18	from	from	ADP
cana-3484	197	19	opportunity	opportunity	NOUN
cana-3484	197	20	cost	cost	NOUN
cana-3484	197	21	is	be	AUX
cana-3484	197	22	(	(	PUNCT
cana-3484	197	23	16	16	NUM
cana-3484	197	24	,	,	PUNCT
cana-3484	197	25	8	8	NUM
cana-3484	197	26	,	,	PUNCT
cana-3484	197	27	4,0,8)−	4,0,8)−	NUM
cana-3484	197	28	−	−	NOUN
cana-3484	197	29	−	−	PROPN
cana-3484	197	30	and	and	CCONJ
cana-3484	197	31	draw	draw	VERB
cana-3484	197	32	a	a	DET
cana-3484	197	33	closed	closed	ADJ
cana-3484	197	34	path	path	NOUN
cana-3484	197	35	.	.	PUNCT
cana-3484	198	1	the	the	DET
cana-3484	198	2	following	follow	VERB
cana-3484	198	3	table	table	NOUN
cana-3484	198	4	shows	show	VERB
cana-3484	198	5	the	the	DET
cana-3484	198	6	closed	closed	ADJ
cana-3484	198	7	path	path	NOUN
cana-3484	198	8	(	(	PUNCT
cana-3484	198	9	3,5,6,7,9	3,5,6,7,9	NUM
cana-3484	198	10	)	)	PUNCT
cana-3484	198	11	(	(	PUNCT
cana-3484	198	12	37,39,40,41,43	37,39,40,41,43	NOUN
cana-3484	198	13	)	)	PUNCT
cana-3484	198	14	(	(	PUNCT
cana-3484	198	15	4,8,10,12,16	4,8,10,12,16	NUM
cana-3484	198	16	)	)	PUNCT
cana-3484	198	17	(	(	PUNCT
cana-3484	198	18	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	198	19	)	)	PUNCT
cana-3484	198	20	(	(	PUNCT
cana-3484	198	21	7,9,10,11,13	7,9,10,11,13	NUM
cana-3484	198	22	)	)	PUNCT
cana-3484	198	23	(	(	PUNCT
cana-3484	198	24	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	198	25	)	)	PUNCT
cana-3484	198	26	(	(	PUNCT
cana-3484	198	27	27,29,30,31,33	27,29,30,31,33	NUM
cana-3484	198	28	)	)	PUNCT
cana-3484	198	29	(	(	PUNCT
cana-3484	198	30	16,18,19,20,22	16,18,19,20,22	NOUN
cana-3484	198	31	)	)	PUNCT
cana-3484	198	32	(	(	PUNCT
cana-3484	198	33	18,20,21,22,24	18,20,21,22,24	NUM
cana-3484	198	34	)	)	PUNCT
cana-3484	198	35	(	(	PUNCT
cana-3484	198	36	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	198	37	)	)	PUNCT
cana-3484	198	38	(	(	PUNCT
cana-3484	198	39	9,11,12,13,15	9,11,12,13,15	NUM
cana-3484	198	40	)	)	PUNCT
cana-3484	198	41	(	(	PUNCT
cana-3484	198	42	18,20,21,22,24	18,20,21,22,24	NUM
cana-3484	198	43	)	)	PUNCT
cana-3484	198	44	-ve	-ve	NOUN
cana-3484	199	1	+	+	NOUN
cana-3484	199	2	ve	ve	PROPN
cana-3484	199	3	(	(	PUNCT
cana-3484	199	4	12,14,15,16,18	12,14,15,16,18	NUM
cana-3484	199	5	)	)	PUNCT
cana-3484	199	6	(	(	PUNCT
cana-3484	199	7	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	199	8	)	)	PUNCT
cana-3484	199	9	(	(	PUNCT
cana-3484	199	10	4,18,25,32,46	4,18,25,32,46	NOUN
cana-3484	199	11	)	)	PUNCT
cana-3484	199	12	(	(	PUNCT
cana-3484	199	13	22,24,25,26,28	22,24,25,26,28	NOUN
cana-3484	199	14	)	)	PUNCT
cana-3484	199	15	(	(	PUNCT
cana-3484	199	16	14,16,17,18,20	14,16,17,18,20	NUM
cana-3484	199	17	)	)	PUNCT
cana-3484	199	18	(	(	PUNCT
cana-3484	199	19	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	199	20	)	)	PUNCT
cana-3484	200	1	+	+	NOUN
cana-3484	200	2	ve	ve	NOUN
cana-3484	200	3	-ve	-ve	NOUN
cana-3484	200	4	table	table	NOUN
cana-3484	200	5	8	8	NUM
cana-3484	200	6	.	.	PUNCT
cana-3484	200	7	closed	close	VERB
cana-3484	200	8	path	path	NOUN
cana-3484	200	9	optimal	optimal	ADJ
cana-3484	200	10	assignment	assignment	NOUN
cana-3484	200	11	generalized	generalize	VERB
cana-3484	200	12	quadratic	quadratic	ADJ
cana-3484	200	13	fuzzy	fuzzy	ADJ
cana-3484	200	14	transportation	transportation	NOUN
cana-3484	200	15	table	table	NOUN
cana-3484	200	16	communications	communication	NOUN
cana-3484	200	17	on	on	ADP
cana-3484	200	18	applied	apply	VERB
cana-3484	200	19	nonlinear	nonlinear	ADJ
cana-3484	200	20	analysis	analysis	NOUN
cana-3484	200	21	issn	issn	NOUN
cana-3484	200	22	:	:	PUNCT
cana-3484	200	23	1074	1074	NUM
cana-3484	200	24	-	-	PUNCT
cana-3484	200	25	133x	133x	NUM
cana-3484	200	26	vol	vol	NOUN
cana-3484	200	27	32	32	NUM
cana-3484	200	28	no	no	NOUN
cana-3484	200	29	.	.	PUNCT
cana-3484	201	1	7s	7	NOUN
cana-3484	201	2	(	(	PUNCT
cana-3484	201	3	2025	2025	NUM
cana-3484	201	4	)	)	PUNCT
cana-3484	201	5	777	777	NUM
cana-3484	201	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	201	7	select	select	VERB
cana-3484	201	8	the	the	DET
cana-3484	201	9	smallest	small	ADJ
cana-3484	201	10	value	value	NOUN
cana-3484	201	11	with	with	ADP
cana-3484	201	12	a	a	DET
cana-3484	201	13	negative	negative	ADJ
cana-3484	201	14	location	location	NOUN
cana-3484	201	15	on	on	ADP
cana-3484	201	16	the	the	DET
cana-3484	201	17	closed	closed	ADJ
cana-3484	201	18	route	route	NOUN
cana-3484	201	19	from	from	ADP
cana-3484	201	20	the	the	DET
cana-3484	201	21	following	follow	VERB
cana-3484	201	22	values	value	NOUN
cana-3484	201	23	(	(	PUNCT
cana-3484	201	24	14	14	NUM
cana-3484	201	25	,	,	PUNCT
cana-3484	201	26	18	18	NUM
cana-3484	201	27	,	,	PUNCT
cana-3484	201	28	20	20	NUM
cana-3484	201	29	,	,	PUNCT
cana-3484	201	30	22	22	NUM
cana-3484	201	31	,	,	PUNCT
cana-3484	201	32	26	26	NUM
cana-3484	201	33	)	)	PUNCT
cana-3484	201	34	.	.	PUNCT
cana-3484	202	1	the	the	DET
cana-3484	202	2	quantity	quantity	NOUN
cana-3484	202	3	of	of	ADP
cana-3484	202	4	units	unit	NOUN
cana-3484	202	5	that	that	PRON
cana-3484	202	6	can	can	AUX
cana-3484	202	7	be	be	AUX
cana-3484	202	8	transported	transport	VERB
cana-3484	202	9	to	to	ADP
cana-3484	202	10	the	the	DET
cana-3484	202	11	entering	enter	VERB
cana-3484	202	12	cell	cell	NOUN
cana-3484	202	13	is	be	AUX
cana-3484	202	14	indicated	indicate	VERB
cana-3484	202	15	by	by	ADP
cana-3484	202	16	this	this	DET
cana-3484	202	17	amount	amount	NOUN
cana-3484	202	18	.	.	PUNCT
cana-3484	203	1	then	then	ADV
cana-3484	203	2	,	,	PUNCT
cana-3484	203	3	deduct	deduct	VERB
cana-3484	203	4	this	this	DET
cana-3484	203	5	amount	amount	NOUN
cana-3484	203	6	from	from	ADP
cana-3484	203	7	the	the	DET
cana-3484	203	8	cells	cell	NOUN
cana-3484	203	9	with	with	ADP
cana-3484	203	10	minus	minus	CCONJ
cana-3484	203	11	signs	sign	NOUN
cana-3484	203	12	and	and	CCONJ
cana-3484	203	13	add	add	VERB
cana-3484	203	14	it	it	PRON
cana-3484	203	15	to	to	ADP
cana-3484	203	16	all	all	DET
cana-3484	203	17	the	the	DET
cana-3484	203	18	cells	cell	NOUN
cana-3484	203	19	at	at	ADP
cana-3484	203	20	the	the	DET
cana-3484	203	21	closed	closed	ADJ
cana-3484	203	22	path	path	NOUN
cana-3484	203	23	's	's	PART
cana-3484	203	24	corner	corner	NOUN
cana-3484	203	25	points	point	NOUN
cana-3484	203	26	that	that	PRON
cana-3484	203	27	are	be	AUX
cana-3484	203	28	indicated	indicate	VERB
cana-3484	203	29	with	with	ADP
cana-3484	203	30	plus	plus	CCONJ
cana-3484	203	31	signs	sign	NOUN
cana-3484	203	32	.	.	PUNCT
cana-3484	204	1	an	an	DET
cana-3484	204	2	empty	empty	ADJ
cana-3484	204	3	cell	cell	NOUN
cana-3484	204	4	becomes	become	VERB
cana-3484	204	5	populated	populated	ADJ
cana-3484	204	6	in	in	ADP
cana-3484	204	7	this	this	DET
cana-3484	204	8	manner	manner	NOUN
cana-3484	204	9	.	.	PUNCT
cana-3484	205	1	calculating	calculate	VERB
cana-3484	205	2	iu	iu	ADV
cana-3484	205	3	and	and	CCONJ
cana-3484	205	4	jv	jv	NOUN
cana-3484	205	5	using	use	VERB
cana-3484	205	6	i	i	PRON
cana-3484	205	7	j	j	PROPN
cana-3484	205	8	iju	iju	NOUN
cana-3484	205	9	v	v	ADP
cana-3484	205	10	c+	c+	NOUN
cana-3484	205	11	=	=	PUNCT
cana-3484	205	12	now	now	ADV
cana-3484	205	13	finding	find	VERB
cana-3484	205	14	opportunity	opportunity	NOUN
cana-3484	205	15	cost	cost	NOUN
cana-3484	205	16	using	use	VERB
cana-3484	205	17	(	(	PUNCT
cana-3484	205	18	)	)	PUNCT
cana-3484	206	1	ij	ij	INTJ
cana-3484	206	2	ij	ij	INTJ
cana-3484	207	1	i	i	INTJ
cana-3484	207	2	jc	jc	PROPN
cana-3484	207	3	u	u	NOUN
cana-3484	207	4	v	v	NOUN
cana-3484	207	5	=	=	PUNCT
cana-3484	208	1	−	−	PROPN
cana-3484	209	1	+	+	CCONJ
cana-3484	209	2	next	next	ADV
cana-3484	209	3	,	,	PUNCT
cana-3484	209	4	create	create	VERB
cana-3484	209	5	a	a	DET
cana-3484	209	6	closed	closed	ADJ
cana-3484	209	7	path	path	NOUN
cana-3484	209	8	using	use	VERB
cana-3484	209	9	the	the	DET
cana-3484	209	10	opportunity	opportunity	NOUN
cana-3484	209	11	fuzzy	fuzzy	ADJ
cana-3484	209	12	cost	cost	NOUN
cana-3484	209	13	's	's	PART
cana-3484	209	14	smallest	small	ADJ
cana-3484	209	15	(	(	PUNCT
cana-3484	209	16	most	most	ADV
cana-3484	209	17	negative	negative	ADJ
cana-3484	209	18	)	)	PUNCT
cana-3484	209	19	value	value	NOUN
cana-3484	209	20	.	.	PUNCT
cana-3484	210	1	next	next	ADV
cana-3484	210	2	,	,	PUNCT
cana-3484	210	3	choose	choose	VERB
cana-3484	210	4	the	the	DET
cana-3484	210	5	smallest	small	ADJ
cana-3484	210	6	value	value	NOUN
cana-3484	210	7	with	with	ADP
cana-3484	210	8	a	a	DET
cana-3484	210	9	negative	negative	ADJ
cana-3484	210	10	location	location	NOUN
cana-3484	210	11	on	on	ADP
cana-3484	210	12	the	the	DET
cana-3484	210	13	closed	closed	ADJ
cana-3484	210	14	route	route	NOUN
cana-3484	210	15	from	from	ADP
cana-3484	210	16	the	the	DET
cana-3484	210	17	range	range	NOUN
cana-3484	210	18	(	(	PUNCT
cana-3484	210	19	2	2	NUM
cana-3484	210	20	,	,	PUNCT
cana-3484	210	21	4	4	NUM
cana-3484	210	22	,	,	PUNCT
cana-3484	210	23	5	5	NUM
cana-3484	210	24	,	,	PUNCT
cana-3484	210	25	6	6	NUM
cana-3484	210	26	,	,	PUNCT
cana-3484	210	27	8)	8)	NUM
cana-3484	210	28	.	.	PUNCT
cana-3484	211	1	this	this	PRON
cana-3484	211	2	will	will	AUX
cana-3484	211	3	show	show	VERB
cana-3484	211	4	how	how	SCONJ
cana-3484	211	5	many	many	ADJ
cana-3484	211	6	units	unit	NOUN
cana-3484	211	7	can	can	AUX
cana-3484	211	8	be	be	AUX
cana-3484	211	9	transported	transport	VERB
cana-3484	211	10	to	to	ADP
cana-3484	211	11	the	the	DET
cana-3484	211	12	cell	cell	NOUN
cana-3484	211	13	that	that	PRON
cana-3484	211	14	is	be	AUX
cana-3484	211	15	entering	enter	VERB
cana-3484	211	16	.	.	PUNCT
cana-3484	212	1	once	once	ADV
cana-3484	212	2	more	more	ADV
cana-3484	212	3	,	,	PUNCT
cana-3484	212	4	deduct	deduct	VERB
cana-3484	212	5	this	this	DET
cana-3484	212	6	amount	amount	NOUN
cana-3484	212	7	from	from	ADP
cana-3484	212	8	the	the	DET
cana-3484	212	9	cells	cell	NOUN
cana-3484	212	10	with	with	ADP
cana-3484	212	11	minus	minus	CCONJ
cana-3484	212	12	signs	sign	NOUN
cana-3484	212	13	and	and	CCONJ
cana-3484	212	14	add	add	VERB
cana-3484	212	15	it	it	PRON
cana-3484	212	16	to	to	ADP
cana-3484	212	17	all	all	DET
cana-3484	212	18	the	the	DET
cana-3484	212	19	cells	cell	NOUN
cana-3484	212	20	at	at	ADP
cana-3484	212	21	the	the	DET
cana-3484	212	22	closed	closed	ADJ
cana-3484	212	23	path	path	NOUN
cana-3484	212	24	's	's	PART
cana-3484	212	25	corner	corner	NOUN
cana-3484	212	26	points	point	NOUN
cana-3484	212	27	that	that	PRON
cana-3484	212	28	are	be	AUX
cana-3484	212	29	indicated	indicate	VERB
cana-3484	212	30	with	with	ADP
cana-3484	212	31	plus	plus	CCONJ
cana-3484	212	32	signs	sign	NOUN
cana-3484	212	33	.	.	PUNCT
cana-3484	213	1	by	by	ADP
cana-3484	213	2	doing	do	VERB
cana-3484	213	3	this	this	PRON
cana-3484	213	4	,	,	PUNCT
cana-3484	213	5	an	an	DET
cana-3484	213	6	empty	empty	ADJ
cana-3484	213	7	cell	cell	NOUN
cana-3484	213	8	is	be	AUX
cana-3484	213	9	certain	certain	ADJ
cana-3484	213	10	to	to	PART
cana-3484	213	11	be	be	AUX
cana-3484	213	12	filled	fill	VERB
cana-3484	213	13	.	.	PUNCT
cana-3484	214	1	the	the	DET
cana-3484	214	2	solution	solution	NOUN
cana-3484	214	3	is	be	AUX
cana-3484	214	4	now	now	ADV
cana-3484	214	5	optimal	optimal	ADJ
cana-3484	214	6	as	as	SCONJ
cana-3484	214	7	all	all	PRON
cana-3484	214	8	of	of	ADP
cana-3484	214	9	the	the	DET
cana-3484	214	10	opportunity	opportunity	NOUN
cana-3484	214	11	costs	cost	NOUN
cana-3484	214	12	are	be	AUX
cana-3484	214	13	non	non	ADJ
cana-3484	214	14	-	-	ADJ
cana-3484	214	15	negative	negative	ADJ
cana-3484	214	16	.	.	PUNCT
cana-3484	215	1	1v	1v	NUM
cana-3484	215	2	2v	2v	PROPN
cana-3484	215	3	3v	3v	NUM
cana-3484	215	4	4v	4v	NUM
cana-3484	215	5	1u	1u	NOUN
cana-3484	215	6	(	(	PUNCT
cana-3484	215	7	2,4,5,6,8	2,4,5,6,8	NUM
cana-3484	215	8	)	)	PUNCT
cana-3484	215	9	(	(	PUNCT
cana-3484	215	10	37,39,40,41,43	37,39,40,41,43	NOUN
cana-3484	215	11	)	)	PUNCT
cana-3484	215	12	(	(	PUNCT
cana-3484	215	13	-4,2,5,8,14	-4,2,5,8,14	NOUN
cana-3484	215	14	)	)	PUNCT
cana-3484	215	15	(	(	PUNCT
cana-3484	215	16	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	215	17	)	)	PUNCT
cana-3484	215	18	(	(	PUNCT
cana-3484	215	19	3,5,6,7,9	3,5,6,7,9	NUM
cana-3484	215	20	)	)	PUNCT
cana-3484	215	21	(	(	PUNCT
cana-3484	215	22	7,9,10,11,13	7,9,10,11,13	NUM
cana-3484	215	23	)	)	PUNCT
cana-3484	215	24	(	(	PUNCT
cana-3484	215	25	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	215	26	)	)	PUNCT
cana-3484	215	27	2u	2u	NOUN
cana-3484	215	28	(	(	PUNCT
cana-3484	215	29	19,23,25,27,31	19,23,25,27,31	NUM
cana-3484	215	30	)	)	PUNCT
cana-3484	215	31	(	(	PUNCT
cana-3484	215	32	16,18,19,20,22	16,18,19,20,22	NOUN
cana-3484	215	33	)	)	PUNCT
cana-3484	215	34	(	(	PUNCT
cana-3484	215	35	18,20,21,22,24	18,20,21,22,24	NUM
cana-3484	215	36	)	)	PUNCT
cana-3484	215	37	(	(	PUNCT
cana-3484	215	38	16,22,25,28,34	16,22,25,28,34	NUM
cana-3484	215	39	)	)	PUNCT
cana-3484	215	40	(	(	PUNCT
cana-3484	215	41	9,11,12,13,15	9,11,12,13,15	NUM
cana-3484	215	42	)	)	PUNCT
cana-3484	215	43	(	(	PUNCT
cana-3484	215	44	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	215	45	)	)	PUNCT
cana-3484	215	46	3u	3u	PROPN
cana-3484	215	47	(	(	PUNCT
cana-3484	215	48	12,14,15,16,18	12,14,15,16,18	NUM
cana-3484	215	49	)	)	PUNCT
cana-3484	215	50	(	(	PUNCT
cana-3484	215	51	11,13,14,15,17	11,13,14,15,17	NUM
cana-3484	215	52	)	)	PUNCT
cana-3484	215	53	(	(	PUNCT
cana-3484	215	54	20,40,50,60,80	20,40,50,60,80	NUM
cana-3484	215	55	)	)	PUNCT
cana-3484	215	56	(	(	PUNCT
cana-3484	215	57	0,0,0,0,0	0,0,0,0,0	NOUN
cana-3484	215	58	)	)	PUNCT
cana-3484	215	59	(	(	PUNCT
cana-3484	215	60	14,16,17,18,20	14,16,17,18,20	NUM
cana-3484	215	61	)	)	PUNCT
cana-3484	215	62	table	table	NOUN
cana-3484	215	63	9	9	NUM
cana-3484	215	64	.	.	PUNCT
cana-3484	215	65	closed	close	VERB
cana-3484	215	66	path	path	NOUN
cana-3484	215	67	optimal	optimal	ADJ
cana-3484	215	68	assignment	assignment	NOUN
cana-3484	215	69	generalized	generalize	VERB
cana-3484	215	70	quadratic	quadratic	ADJ
cana-3484	215	71	fuzzy	fuzzy	ADJ
cana-3484	215	72	transportation	transportation	NOUN
cana-3484	215	73	table	table	NOUN
cana-3484	215	74	the	the	DET
cana-3484	215	75	minimum	minimum	ADJ
cana-3484	215	76	transportation	transportation	NOUN
cana-3484	215	77	cost	cost	NOUN
cana-3484	215	78	is	be	AUX
cana-3484	215	79	:	:	PUNCT
cana-3484	215	80	=	=	SYM
cana-3484	215	81	(	(	PUNCT
cana-3484	215	82	2,4,5,6,8)(3,5,6,7,9)+(37,39,40,41,43)(7,9,10,11,13)+(-4,2,5,8,14)(11,13,14,15,17	2,4,5,6,8)(3,5,6,7,9)+(37,39,40,41,43)(7,9,10,11,13)+(-4,2,5,8,14)(11,13,14,15,17	NOUN
cana-3484	215	83	)	)	PUNCT
cana-3484	215	84	+	+	ADJ
cana-3484	215	85	(	(	PUNCT
cana-3484	215	86	19,23,25,27,31)(9,11,12,13,15)+(16,22,25,28,34)(0,0,0,0,0)+(20,40,50,60,80	19,23,25,27,31)(9,11,12,13,15)+(16,22,25,28,34)(0,0,0,0,0)+(20,40,50,60,80	NUM
cana-3484	215	87	)	)	PUNCT
cana-3484	215	88	(	(	PUNCT
cana-3484	215	89	14,16,17,18,20	14,16,17,18,20	NUM
cana-3484	215	90	)	)	PUNCT
cana-3484	215	91	=	=	PUNCT
cana-3484	215	92	(	(	PUNCT
cana-3484	215	93	1497	1497	NUM
cana-3484	215	94	,	,	PUNCT
cana-3484	215	95	1633	1633	NUM
cana-3484	215	96	,	,	PUNCT
cana-3484	215	97	1650	1650	NUM
cana-3484	215	98	,	,	PUNCT
cana-3484	215	99	1667	1667	NUM
cana-3484	215	100	,	,	PUNCT
cana-3484	215	101	1803	1803	NUM
cana-3484	215	102	)	)	PUNCT
cana-3484	215	103	communications	communication	NOUN
cana-3484	215	104	on	on	ADP
cana-3484	215	105	applied	apply	VERB
cana-3484	215	106	nonlinear	nonlinear	ADJ
cana-3484	215	107	analysis	analysis	NOUN
cana-3484	215	108	issn	issn	NOUN
cana-3484	215	109	:	:	PUNCT
cana-3484	215	110	1074	1074	NUM
cana-3484	215	111	-	-	PUNCT
cana-3484	215	112	133x	133x	NUM
cana-3484	215	113	vol	vol	NOUN
cana-3484	215	114	32	32	NUM
cana-3484	215	115	no	no	NOUN
cana-3484	215	116	.	.	PUNCT
cana-3484	216	1	7s	7	NOUN
cana-3484	216	2	(	(	PUNCT
cana-3484	216	3	2025	2025	NUM
cana-3484	216	4	)	)	PUNCT
cana-3484	216	5	778	778	NUM
cana-3484	216	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	216	7	4.3.1	4.3.1	NUM
cana-3484	216	8	membership	membership	NOUN
cana-3484	216	9	function	function	VERB
cana-3484	216	10	the	the	DET
cana-3484	216	11	piecewise	piecewise	NOUN
cana-3484	216	12	quadratic	quadratic	ADJ
cana-3484	216	13	fuzzy	fuzzy	ADJ
cana-3484	216	14	number	number	NOUN
cana-3484	216	15	is	be	AUX
cana-3484	216	16	a	a	DET
cana-3484	216	17	bell	bell	NOUN
cana-3484	216	18	shaped	shape	VERB
cana-3484	216	19	curve	curve	NOUN
cana-3484	216	20	symmetric	symmetric	NOUN
cana-3484	216	21	about	about	ADP
cana-3484	216	22	the	the	DET
cana-3484	216	23	line	line	NOUN
cana-3484	216	24	x=1745	x=1745	PROPN
cana-3484	216	25	,	,	PUNCT
cana-3484	216	26	possess	possess	VERB
cana-3484	216	27	a	a	DET
cana-3484	216	28	supporting	support	VERB
cana-3484	216	29	interval	interval	NOUN
cana-3484	216	30	[	[	X
cana-3484	216	31	1497	1497	NUM
cana-3484	216	32	,	,	PUNCT
cana-3484	216	33	1803	1803	NUM
cana-3484	216	34	]	]	PUNCT
cana-3484	216	35	.	.	PUNCT
cana-3484	217	1	moreover	moreover	ADV
cana-3484	217	2	,	,	PUNCT
cana-3484	217	3	16503	16503	NUM
cana-3484	217	4	=	=	SYM
cana-3484	217	5	l	l	NOUN
cana-3484	217	6	and	and	CCONJ
cana-3484	217	7	17=	17=	NUM
cana-3484	217	8	3	3	NUM
cana-3484	217	9	2	2	NUM
cana-3484	217	10	4	4	NUM
cana-3484	217	11	3l	3l	NUM
cana-3484	217	12	l	l	NOUN
cana-3484	217	13	l	l	NOUN
cana-3484	217	14	l−	l−	NOUN
cana-3484	217	15	=	=	SYM
cana-3484	217	16	−	−	PROPN
cana-3484	217	17	.	.	PUNCT
cana-3484	218	1	the	the	DET
cana-3484	218	2			NOUN
cana-3484	218	3	-cut	-cut	VERB
cana-3484	218	4	for	for	ADP
cana-3484	218	5	1	1	NUM
cana-3484	218	6	2	2	NUM
cana-3484	218	7			NOUN
cana-3484	218	8	=	=	PUNCT
cana-3484	218	9	between	between	ADP
cana-3484	218	10	the	the	DET
cana-3484	218	11	points	point	NOUN
cana-3484	218	12	(	(	PUNCT
cana-3484	218	13	1633	1633	NUM
cana-3484	218	14	,	,	PUNCT
cana-3484	218	15	1667	1667	NUM
cana-3484	218	16	)	)	PUNCT
cana-3484	218	17	and	and	CCONJ
cana-3484	218	18	they	they	PRON
cana-3484	218	19	are	be	AUX
cana-3484	218	20	called	call	VERB
cana-3484	218	21	cross	cross	NOUN
cana-3484	218	22	over	over	ADP
cana-3484	218	23	points	point	NOUN
cana-3484	218	24	.	.	PUNCT
cana-3484	219	1	the	the	DET
cana-3484	219	2	interval	interval	NOUN
cana-3484	219	3	of	of	ADP
cana-3484	219	4	confidence	confidence	NOUN
cana-3484	219	5	at	at	ADP
cana-3484	219	6	level	level	NOUN
cana-3484	219	7			NOUN
cana-3484	219	8	is	be	AUX
cana-3484	219	9	given	give	VERB
cana-3484	219	10	to	to	PART
cana-3484	219	11	be	be	AUX
cana-3484	219	12			PROPN
cana-3484	219	13	5.1726,5.1505=a	5.1726,5.1505=a	PROPN
cana-3484	219	14	.	.	PUNCT
cana-3484	220	1	computing	compute	VERB
cana-3484	220	2	the	the	DET
cana-3484	220	3	valuation	valuation	NOUN
cana-3484	220	4	of	of	ADP
cana-3484	220	5	membership	membership	NOUN
cana-3484	220	6	function	function	NOUN
cana-3484	220	7	of	of	ADP
cana-3484	220	8	piecewise	piecewise	NOUN
cana-3484	220	9	quadratic	quadratic	ADJ
cana-3484	220	10	fuzzy	fuzzy	ADJ
cana-3484	220	11	numbers	number	NOUN
cana-3484	220	12			ADP
cana-3484	220	13			NUM
cana-3484	220	14			NUM
cana-3484	220	15			NUM
cana-3484	220	16			NUM
cana-3484	220	17			NUM
cana-3484	220	18			PROPN
cana-3484	220	19			NUM
cana-3484	220	20			NUM
cana-3484	220	21			NUM
cana-3484	220	22			NUM
cana-3484	220	23			NUM
cana-3484	220	24			NUM
cana-3484	220	25			NUM
cana-3484	220	26			ADP
cana-3484	220	27			NOUN
cana-3484	220	28	−	−	NOUN
cana-3484	220	29	+	+	SYM
cana-3484	220	30	−	−	NOUN
cana-3484	220	31	+	+	SYM
cana-3484	220	32	−	−	NOUN
cana-3484	221	1			NOUN
cana-3484	221	2	−	−	PROPN
cana-3484	221	3	=	=	PUNCT
cana-3484	221	4	otherwise	otherwise	ADV
cana-3484	221	5	xfor	xfor	PROPN
cana-3484	221	6	x	x	X
cana-3484	221	7	xfor	xfor	PROPN
cana-3484	221	8	x	x	SYM
cana-3484	221	9	xfor	xfor	PROPN
cana-3484	221	10	x	x	X
cana-3484	221	11	xfor	xfor	PROPN
cana-3484	221	12	x	x	X
cana-3484	221	13	x	x	X
cana-3484	221	14	a	a	PRON
cana-3484	221	15	0	0	NUM
cana-3484	221	16	18031667	18031667	NUM
cana-3484	221	17	36992	36992	NUM
cana-3484	221	18	2)1862	2)1862	NOUN
cana-3484	221	19	(	(	PUNCT
cana-3484	221	20	166716501	166716501	NUM
cana-3484	221	21	578	578	NUM
cana-3484	221	22	2)1650	2)1650	NOUN
cana-3484	221	23	(	(	PUNCT
cana-3484	221	24	165016331	165016331	NUM
cana-3484	221	25	578	578	NUM
cana-3484	221	26	2)1650	2)1650	NOUN
cana-3484	221	27	(	(	PUNCT
cana-3484	221	28	16331497	16331497	NUM
cana-3484	221	29	36992	36992	NUM
cana-3484	221	30	2)1497	2)1497	NUM
cana-3484	221	31	(	(	PUNCT
cana-3484	221	32	)	)	PUNCT
cana-3484	221	33	(	(	PUNCT
cana-3484	221	34	~	~	NUM
cana-3484	221	35	%	%	NOUN
cana-3484	221	36	matlab	matlab	PROPN
cana-3484	221	37	code	code	NOUN
cana-3484	221	38	to	to	PART
cana-3484	221	39	plot	plot	VERB
cana-3484	221	40	symmetric	symmetric	ADJ
cana-3484	221	41	bell	bell	NOUN
cana-3484	221	42	-	-	PUNCT
cana-3484	221	43	shaped	shape	VERB
cana-3484	221	44	fuzzy	fuzzy	ADJ
cana-3484	221	45	curve	curve	NOUN
cana-3484	221	46	computing	compute	VERB
cana-3484	221	47	the	the	DET
cana-3484	221	48	valuation	valuation	NOUN
cana-3484	221	49	of	of	ADP
cana-3484	221	50	piecewise	piecewise	NOUN
cana-3484	221	51	quadratic	quadratic	ADJ
cana-3484	221	52	fuzzy	fuzzy	ADJ
cana-3484	221	53	number	number	NOUN
cana-3484	221	54	figure.2	figure.2	PROPN
cana-3484	221	55	.	.	PUNCT
cana-3484	222	1	symmetric	symmetric	PROPN
cana-3484	222	2	bell	bell	PROPN
cana-3484	222	3	shaped	shape	VERB
cana-3484	222	4	fuzzy	fuzzy	ADJ
cana-3484	222	5	curve	curve	NOUN
cana-3484	222	6	with	with	ADP
cana-3484	222	7			NOUN
cana-3484	222	8	-cut	-cut	VERB
cana-3484	222	9	the	the	DET
cana-3484	222	10	provided	provide	VERB
cana-3484	222	11	image	image	NOUN
cana-3484	222	12	displays	display	VERB
cana-3484	222	13	a	a	DET
cana-3484	222	14	symmetric	symmetric	ADJ
cana-3484	222	15	bell	bell	NOUN
cana-3484	222	16	-	-	PUNCT
cana-3484	222	17	shaped	shape	VERB
cana-3484	222	18	fuzzy	fuzzy	ADJ
cana-3484	222	19	number	number	NOUN
cana-3484	222	20	represented	represent	VERB
cana-3484	222	21	by	by	ADP
cana-3484	222	22	a	a	DET
cana-3484	222	23	membership	membership	NOUN
cana-3484	222	24	function	function	NOUN
cana-3484	222	25	μ(x	μ(x	PROPN
cana-3484	222	26	)	)	PUNCT
cana-3484	222	27	,	,	PUNCT
cana-3484	222	28	with	with	ADP
cana-3484	222	29	x	x	PUNCT
cana-3484	222	30	representing	represent	VERB
cana-3484	222	31	the	the	DET
cana-3484	222	32	transportation	transportation	NOUN
cana-3484	222	33	costs	cost	NOUN
cana-3484	222	34	or	or	CCONJ
cana-3484	222	35	some	some	DET
cana-3484	222	36	related	related	ADJ
cana-3484	222	37	variable	variable	NOUN
cana-3484	222	38	.	.	PUNCT
cana-3484	223	1	let	let	VERB
cana-3484	223	2	’s	’s	PRON
cana-3484	223	3	break	break	VERB
cana-3484	223	4	down	down	ADP
cana-3484	223	5	the	the	DET
cana-3484	223	6	explanation	explanation	NOUN
cana-3484	223	7	of	of	ADP
cana-3484	223	8	the	the	DET
cana-3484	223	9	piecewise	piecewise	NOUN
cana-3484	223	10	quadratic	quadratic	ADJ
cana-3484	223	11	fuzzy	fuzzy	ADJ
cana-3484	223	12	numbers	number	NOUN
cana-3484	223	13	illustrated	illustrate	VERB
cana-3484	223	14	in	in	ADP
cana-3484	223	15	the	the	DET
cana-3484	223	16	graph	graph	NOUN
cana-3484	223	17	:	:	PUNCT
cana-3484	223	18	quadratic	quadratic	ADJ
cana-3484	223	19	communications	communication	NOUN
cana-3484	223	20	on	on	ADP
cana-3484	223	21	applied	apply	VERB
cana-3484	223	22	nonlinear	nonlinear	ADJ
cana-3484	223	23	analysis	analysis	NOUN
cana-3484	223	24	issn	issn	NOUN
cana-3484	223	25	:	:	PUNCT
cana-3484	223	26	1074	1074	NUM
cana-3484	223	27	-	-	PUNCT
cana-3484	223	28	133x	133x	NUM
cana-3484	223	29	vol	vol	NOUN
cana-3484	223	30	32	32	NUM
cana-3484	223	31	no	no	NOUN
cana-3484	223	32	.	.	PUNCT
cana-3484	224	1	7s	7	NOUN
cana-3484	224	2	(	(	PUNCT
cana-3484	224	3	2025	2025	NUM
cana-3484	224	4	)	)	PUNCT
cana-3484	224	5	779	779	NUM
cana-3484	224	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	224	7	functions	function	NOUN
cana-3484	224	8	ensure	ensure	VERB
cana-3484	224	9	smoothness	smoothness	ADJ
cana-3484	224	10	and	and	CCONJ
cana-3484	224	11	gradual	gradual	ADJ
cana-3484	224	12	changes	change	NOUN
cana-3484	224	13	in	in	ADP
cana-3484	224	14	the	the	DET
cana-3484	224	15	membership	membership	NOUN
cana-3484	224	16	values.the	values.the	DET
cana-3484	224	17	symmetric	symmetric	PROPN
cana-3484	224	18	bellshaped	bellshape	VERB
cana-3484	224	19	curve	curve	NOUN
cana-3484	224	20	effectively	effectively	ADV
cana-3484	224	21	models	model	VERB
cana-3484	224	22	uncertainty	uncertainty	NOUN
cana-3484	224	23	and	and	CCONJ
cana-3484	224	24	variability	variability	NOUN
cana-3484	224	25	in	in	ADP
cana-3484	224	26	a	a	DET
cana-3484	224	27	system	system	NOUN
cana-3484	224	28	.	.	PUNCT
cana-3484	225	1	by	by	ADP
cana-3484	225	2	providing	provide	VERB
cana-3484	225	3	a	a	DET
cana-3484	225	4	range	range	NOUN
cana-3484	225	5	of	of	ADP
cana-3484	225	6	possible	possible	ADJ
cana-3484	225	7	values	value	NOUN
cana-3484	225	8	with	with	ADP
cana-3484	225	9	associated	associated	ADJ
cana-3484	225	10	likelihoods	likelihood	NOUN
cana-3484	225	11	,	,	PUNCT
cana-3484	225	12	it	it	PRON
cana-3484	225	13	helps	help	VERB
cana-3484	225	14	in	in	ADP
cana-3484	225	15	robust	robust	ADJ
cana-3484	225	16	optimization	optimization	NOUN
cana-3484	225	17	and	and	CCONJ
cana-3484	225	18	better	well	ADV
cana-3484	225	19	decisionmaking	decisionmake	VERB
cana-3484	225	20	under	under	ADP
cana-3484	225	21	uncertainty	uncertainty	NOUN
cana-3484	225	22	.	.	PUNCT
cana-3484	226	1	5	5	X
cana-3484	226	2	.	.	X
cana-3484	226	3	conclusion	conclusion	NOUN
cana-3484	226	4	the	the	DET
cana-3484	226	5	pqfmodi	pqfmodi	NOUN
cana-3484	226	6	method	method	NOUN
cana-3484	226	7	offers	offer	VERB
cana-3484	226	8	a	a	DET
cana-3484	226	9	systematic	systematic	ADJ
cana-3484	226	10	approach	approach	NOUN
cana-3484	226	11	through	through	ADP
cana-3484	226	12	dual	dual	ADJ
cana-3484	226	13	variables	variable	NOUN
cana-3484	226	14	and	and	CCONJ
cana-3484	226	15	opportunity	opportunity	NOUN
cana-3484	226	16	costs	cost	NOUN
cana-3484	226	17	,	,	PUNCT
cana-3484	226	18	allowing	allow	VERB
cana-3484	226	19	quick	quick	ADJ
cana-3484	226	20	identification	identification	NOUN
cana-3484	226	21	of	of	ADP
cana-3484	226	22	cost	cost	NOUN
cana-3484	226	23	-	-	PUNCT
cana-3484	226	24	saving	save	VERB
cana-3484	226	25	reallocations	reallocation	NOUN
cana-3484	226	26	.	.	PUNCT
cana-3484	227	1	meanwhile	meanwhile	ADV
cana-3484	227	2	,	,	PUNCT
cana-3484	227	3	the	the	DET
cana-3484	227	4	stepping	step	VERB
cana-3484	227	5	stone	stone	NOUN
cana-3484	227	6	method	method	NOUN
cana-3484	227	7	provides	provide	VERB
cana-3484	227	8	a	a	DET
cana-3484	227	9	deeper	deep	ADJ
cana-3484	227	10	visual	visual	ADJ
cana-3484	227	11	understanding	understanding	NOUN
cana-3484	227	12	of	of	ADP
cana-3484	227	13	closed	closed	ADJ
cana-3484	227	14	paths	path	NOUN
cana-3484	227	15	and	and	CCONJ
cana-3484	227	16	feasible	feasible	ADJ
cana-3484	227	17	adjustments	adjustment	NOUN
cana-3484	227	18	,	,	PUNCT
cana-3484	227	19	which	which	PRON
cana-3484	227	20	can	can	AUX
cana-3484	227	21	be	be	AUX
cana-3484	227	22	valuable	valuable	ADJ
cana-3484	227	23	in	in	ADP
cana-3484	227	24	understanding	understand	VERB
cana-3484	227	25	the	the	DET
cana-3484	227	26	underlying	underlying	ADJ
cana-3484	227	27	allocation	allocation	NOUN
cana-3484	227	28	dynamics.for	dynamics.for	ADP
cana-3484	227	29	cases	case	NOUN
cana-3484	227	30	with	with	ADP
cana-3484	227	31	degeneracy	degeneracy	NOUN
cana-3484	227	32	,	,	PUNCT
cana-3484	227	33	both	both	DET
cana-3484	227	34	methods	method	NOUN
cana-3484	227	35	can	can	AUX
cana-3484	227	36	handle	handle	VERB
cana-3484	227	37	it	it	PRON
cana-3484	227	38	by	by	ADP
cana-3484	227	39	introducing	introduce	VERB
cana-3484	227	40	an	an	DET
cana-3484	227	41	artificial	artificial	ADJ
cana-3484	227	42	quantity	quantity	NOUN
cana-3484	227	43	,	,	PUNCT
cana-3484	227	44	ensuring	ensure	VERB
cana-3484	227	45	that	that	SCONJ
cana-3484	227	46	the	the	DET
cana-3484	227	47	solution	solution	NOUN
cana-3484	227	48	process	process	NOUN
cana-3484	227	49	remains	remain	VERB
cana-3484	227	50	feasible	feasible	ADJ
cana-3484	227	51	and	and	CCONJ
cana-3484	227	52	accurate	accurate	ADJ
cana-3484	227	53	.	.	PUNCT
cana-3484	228	1	overall	overall	ADV
cana-3484	228	2	,	,	PUNCT
cana-3484	228	3	these	these	DET
cana-3484	228	4	methods	method	NOUN
cana-3484	228	5	are	be	AUX
cana-3484	228	6	essential	essential	ADJ
cana-3484	228	7	tools	tool	NOUN
cana-3484	228	8	in	in	ADP
cana-3484	228	9	operations	operation	NOUN
cana-3484	228	10	research	research	NOUN
cana-3484	228	11	and	and	CCONJ
cana-3484	228	12	optimization	optimization	NOUN
cana-3484	228	13	,	,	PUNCT
cana-3484	228	14	supporting	support	VERB
cana-3484	228	15	decision	decision	NOUN
cana-3484	228	16	-	-	PUNCT
cana-3484	228	17	making	making	NOUN
cana-3484	228	18	in	in	ADP
cana-3484	228	19	logistics	logistic	NOUN
cana-3484	228	20	,	,	PUNCT
cana-3484	228	21	supply	supply	NOUN
cana-3484	228	22	chain	chain	NOUN
cana-3484	228	23	management	management	NOUN
cana-3484	228	24	,	,	PUNCT
cana-3484	228	25	and	and	CCONJ
cana-3484	228	26	other	other	ADJ
cana-3484	228	27	resource	resource	NOUN
cana-3484	228	28	allocation	allocation	NOUN
cana-3484	228	29	applications	application	NOUN
cana-3484	228	30	by	by	ADP
cana-3484	228	31	offering	offer	VERB
cana-3484	228	32	effective	effective	ADJ
cana-3484	228	33	ways	way	NOUN
cana-3484	228	34	to	to	PART
cana-3484	228	35	minimize	minimize	VERB
cana-3484	228	36	transportation	transportation	NOUN
cana-3484	228	37	costs	cost	NOUN
cana-3484	228	38	while	while	SCONJ
cana-3484	228	39	ensuring	ensure	VERB
cana-3484	228	40	efficient	efficient	ADJ
cana-3484	228	41	resource	resource	NOUN
cana-3484	228	42	distribution	distribution	NOUN
cana-3484	228	43	.	.	PUNCT
cana-3484	229	1	this	this	DET
cana-3484	229	2	study	study	NOUN
cana-3484	229	3	tries	try	VERB
cana-3484	229	4	to	to	PART
cana-3484	229	5	make	make	VERB
cana-3484	229	6	a	a	DET
cana-3484	229	7	new	new	ADJ
cana-3484	229	8	method	method	NOUN
cana-3484	229	9	to	to	PART
cana-3484	229	10	solve	solve	VERB
cana-3484	229	11	transportation	transportation	NOUN
cana-3484	229	12	problem	problem	NOUN
cana-3484	229	13	more	more	ADV
cana-3484	229	14	efficiently	efficiently	ADV
cana-3484	229	15	.	.	PUNCT
cana-3484	230	1	compliance	compliance	NOUN
cana-3484	230	2	with	with	ADP
cana-3484	230	3	ethical	ethical	ADJ
cana-3484	230	4	standards	standard	NOUN
cana-3484	230	5	acknowledgment	acknowledgment	NOUN
cana-3484	230	6	the	the	DET
cana-3484	230	7	authors	author	NOUN
cana-3484	230	8	express	express	VERB
cana-3484	230	9	their	their	PRON
cana-3484	230	10	gratitude	gratitude	NOUN
cana-3484	230	11	to	to	ADP
cana-3484	230	12	the	the	DET
cana-3484	230	13	anonymous	anonymous	ADJ
cana-3484	230	14	editor	editor	NOUN
cana-3484	230	15	and	and	CCONJ
cana-3484	230	16	reviewers	reviewer	NOUN
cana-3484	230	17	for	for	ADP
cana-3484	230	18	their	their	PRON
cana-3484	230	19	time	time	NOUN
cana-3484	230	20	and	and	CCONJ
cana-3484	230	21	effort	effort	NOUN
cana-3484	230	22	in	in	ADP
cana-3484	230	23	reviewing	review	VERB
cana-3484	230	24	the	the	DET
cana-3484	230	25	manuscript	manuscript	NOUN
cana-3484	230	26	.	.	PUNCT
cana-3484	231	1	we	we	PRON
cana-3484	231	2	deeply	deeply	ADV
cana-3484	231	3	appreciate	appreciate	VERB
cana-3484	231	4	their	their	PRON
cana-3484	231	5	valuable	valuable	ADJ
cana-3484	231	6	comments	comment	NOUN
cana-3484	231	7	and	and	CCONJ
cana-3484	231	8	suggestions	suggestion	NOUN
cana-3484	231	9	,	,	PUNCT
cana-3484	231	10	which	which	PRON
cana-3484	231	11	have	have	AUX
cana-3484	231	12	significantly	significantly	ADV
cana-3484	231	13	improved	improve	VERB
cana-3484	231	14	the	the	DET
cana-3484	231	15	quality	quality	NOUN
cana-3484	231	16	of	of	ADP
cana-3484	231	17	the	the	DET
cana-3484	231	18	work	work	NOUN
cana-3484	231	19	.	.	PUNCT
cana-3484	232	1	conflicts	conflict	NOUN
cana-3484	232	2	of	of	ADP
cana-3484	232	3	interest	interest	NOUN
cana-3484	232	4	the	the	DET
cana-3484	232	5	authors	author	NOUN
cana-3484	232	6	declare	declare	VERB
cana-3484	232	7	no	no	DET
cana-3484	232	8	conflicts	conflict	NOUN
cana-3484	232	9	of	of	ADP
cana-3484	232	10	interest	interest	NOUN
cana-3484	232	11	regarding	regard	VERB
cana-3484	232	12	the	the	DET
cana-3484	232	13	publication	publication	NOUN
cana-3484	232	14	of	of	ADP
cana-3484	232	15	this	this	DET
cana-3484	232	16	paper	paper	NOUN
cana-3484	232	17	.	.	PUNCT
cana-3484	233	1	all	all	DET
cana-3484	233	2	authors	author	NOUN
cana-3484	233	3	contributed	contribute	VERB
cana-3484	233	4	equally	equally	ADV
cana-3484	233	5	to	to	ADP
cana-3484	233	6	the	the	DET
cana-3484	233	7	research	research	NOUN
cana-3484	233	8	,	,	PUNCT
cana-3484	233	9	reviewed	review	VERB
cana-3484	233	10	,	,	PUNCT
cana-3484	233	11	and	and	CCONJ
cana-3484	233	12	approved	approve	VERB
cana-3484	233	13	the	the	DET
cana-3484	233	14	final	final	ADJ
cana-3484	233	15	manuscript	manuscript	NOUN
cana-3484	233	16	.	.	PUNCT
cana-3484	234	1	special	special	ADJ
cana-3484	234	2	thanks	thank	NOUN
cana-3484	234	3	are	be	AUX
cana-3484	234	4	extended	extend	VERB
cana-3484	234	5	to	to	ADP
cana-3484	234	6	the	the	DET
cana-3484	234	7	editor	editor	NOUN
cana-3484	234	8	and	and	CCONJ
cana-3484	234	9	anonymous	anonymous	ADJ
cana-3484	234	10	referees	referee	NOUN
cana-3484	234	11	for	for	ADP
cana-3484	234	12	their	their	PRON
cana-3484	234	13	constructive	constructive	ADJ
cana-3484	234	14	feedback	feedback	NOUN
cana-3484	234	15	.	.	PUNCT
cana-3484	235	1	this	this	DET
cana-3484	235	2	research	research	NOUN
cana-3484	235	3	did	do	AUX
cana-3484	235	4	not	not	PART
cana-3484	235	5	receive	receive	VERB
cana-3484	235	6	support	support	NOUN
cana-3484	235	7	from	from	ADP
cana-3484	235	8	any	any	DET
cana-3484	235	9	funding	funding	NOUN
cana-3484	235	10	sources	source	NOUN
cana-3484	235	11	.	.	PUNCT
cana-3484	236	1	research	research	NOUN
cana-3484	236	2	involving	involve	VERB
cana-3484	236	3	human	human	ADJ
cana-3484	236	4	participants	participant	NOUN
cana-3484	236	5	and/or	and/or	CCONJ
cana-3484	236	6	animals	animal	NOUN
cana-3484	236	7	this	this	DET
cana-3484	236	8	article	article	NOUN
cana-3484	236	9	does	do	AUX
cana-3484	236	10	not	not	PART
cana-3484	236	11	include	include	VERB
cana-3484	236	12	any	any	DET
cana-3484	236	13	studies	study	NOUN
cana-3484	236	14	involving	involve	VERB
cana-3484	236	15	human	human	ADJ
cana-3484	236	16	participants	participant	NOUN
cana-3484	236	17	or	or	CCONJ
cana-3484	236	18	animals	animal	NOUN
cana-3484	236	19	conducted	conduct	VERB
cana-3484	236	20	by	by	ADP
cana-3484	236	21	the	the	DET
cana-3484	236	22	authors	author	NOUN
cana-3484	236	23	.	.	PUNCT
cana-3484	237	1	communications	communication	NOUN
cana-3484	237	2	on	on	ADP
cana-3484	237	3	applied	apply	VERB
cana-3484	237	4	nonlinear	nonlinear	ADJ
cana-3484	237	5	analysis	analysis	NOUN
cana-3484	237	6	issn	issn	NOUN
cana-3484	237	7	:	:	PUNCT
cana-3484	237	8	1074	1074	NUM
cana-3484	237	9	-	-	PUNCT
cana-3484	237	10	133x	133x	NUM
cana-3484	237	11	vol	vol	NOUN
cana-3484	237	12	32	32	NUM
cana-3484	237	13	no	no	NOUN
cana-3484	237	14	.	.	PUNCT
cana-3484	238	1	7s	7	NOUN
cana-3484	238	2	(	(	PUNCT
cana-3484	238	3	2025	2025	NUM
cana-3484	238	4	)	)	PUNCT
cana-3484	238	5	780	780	NUM
cana-3484	238	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	238	7	funding	funding	NOUN
cana-3484	238	8	information	information	NOUN
cana-3484	238	9	this	this	DET
cana-3484	238	10	research	research	NOUN
cana-3484	238	11	was	be	AUX
cana-3484	238	12	not	not	PART
cana-3484	238	13	supported	support	VERB
cana-3484	238	14	by	by	ADP
cana-3484	238	15	any	any	DET
cana-3484	238	16	specific	specific	ADJ
cana-3484	238	17	grant	grant	NOUN
cana-3484	238	18	from	from	ADP
cana-3484	238	19	funding	fund	VERB
cana-3484	238	20	agencies	agency	NOUN
cana-3484	238	21	in	in	ADP
cana-3484	238	22	the	the	DET
cana-3484	238	23	public	public	ADJ
cana-3484	238	24	,	,	PUNCT
cana-3484	238	25	commercial	commercial	ADJ
cana-3484	238	26	,	,	PUNCT
cana-3484	238	27	or	or	CCONJ
cana-3484	238	28	non	non	ADJ
cana-3484	238	29	-	-	ADJ
cana-3484	238	30	profit	profit	ADJ
cana-3484	238	31	sectors	sector	NOUN
cana-3484	238	32	.	.	PUNCT
cana-3484	239	1	ethical	ethical	ADJ
cana-3484	239	2	approval	approval	NOUN
cana-3484	239	3	no	no	DET
cana-3484	239	4	ethical	ethical	ADJ
cana-3484	239	5	approval	approval	NOUN
cana-3484	239	6	was	be	AUX
cana-3484	239	7	required	require	VERB
cana-3484	239	8	for	for	ADP
cana-3484	239	9	this	this	DET
cana-3484	239	10	research	research	NOUN
cana-3484	239	11	.	.	PUNCT
cana-3484	240	1	informed	inform	VERB
cana-3484	240	2	consent	consent	NOUN
cana-3484	240	3	all	all	DET
cana-3484	240	4	studies	study	NOUN
cana-3484	240	5	referred	refer	VERB
cana-3484	240	6	to	to	ADP
cana-3484	240	7	in	in	ADP
cana-3484	240	8	this	this	DET
cana-3484	240	9	paper	paper	NOUN
cana-3484	240	10	are	be	AUX
cana-3484	240	11	discussed	discuss	VERB
cana-3484	240	12	in	in	ADP
cana-3484	240	13	the	the	DET
cana-3484	240	14	literature	literature	NOUN
cana-3484	240	15	review	review	PROPN
cana-3484	240	16	.	.	PUNCT
cana-3484	241	1	references	reference	NOUN
cana-3484	241	2	[	[	X
cana-3484	241	3	1	1	NUM
cana-3484	241	4	]	]	X
cana-3484	241	5	abbasbandy	abbasbandy	PROPN
cana-3484	241	6	,	,	PUNCT
cana-3484	241	7	s.	s.	PROPN
cana-3484	241	8	&	&	CCONJ
cana-3484	241	9	hajjari	hajjari	PROPN
cana-3484	241	10	,	,	PUNCT
cana-3484	241	11	t.	t.	PROPN
cana-3484	241	12	,	,	PUNCT
cana-3484	241	13	a	a	DET
cana-3484	241	14	new	new	ADJ
cana-3484	241	15	approach	approach	NOUN
cana-3484	241	16	for	for	ADP
cana-3484	241	17	the	the	DET
cana-3484	241	18	ranking	ranking	NOUN
cana-3484	241	19	of	of	ADP
cana-3484	241	20	trapezoidal	trapezoidal	ADJ
cana-3484	241	21	fuzzy	fuzzy	ADJ
cana-3484	241	22	numbers	number	NOUN
cana-3484	241	23	,	,	PUNCT
cana-3484	241	24	computers	computer	NOUN
cana-3484	241	25	and	and	CCONJ
cana-3484	241	26	mathematics	mathematic	NOUN
cana-3484	241	27	with	with	ADP
cana-3484	241	28	applications	application	NOUN
cana-3484	241	29	,	,	PUNCT
cana-3484	241	30	57	57	NUM
cana-3484	241	31	,	,	PUNCT
cana-3484	241	32	(	(	PUNCT
cana-3484	241	33	2009	2009	NUM
cana-3484	241	34	)	)	PUNCT
cana-3484	241	35	,	,	PUNCT
cana-3484	241	36	413	413	NUM
cana-3484	241	37	-	-	SYM
cana-3484	241	38	419	419	NUM
cana-3484	241	39	.	.	PUNCT
cana-3484	242	1	[	[	X
cana-3484	242	2	2	2	NUM
cana-3484	242	3	]	]	X
cana-3484	242	4	amarpreet	amarpreet	PROPN
cana-3484	242	5	kaur	kaur	PROPN
cana-3484	242	6	&	&	CCONJ
cana-3484	242	7	amit	amit	PROPN
cana-3484	242	8	kumar	kumar	PROPN
cana-3484	242	9	,	,	PUNCT
cana-3484	242	10	a	a	DET
cana-3484	242	11	new	new	ADJ
cana-3484	242	12	approach	approach	NOUN
cana-3484	242	13	for	for	ADP
cana-3484	242	14	solving	solve	VERB
cana-3484	242	15	fuzzy	fuzzy	ADJ
cana-3484	242	16	transportation	transportation	NOUN
cana-3484	242	17	problems	problem	NOUN
cana-3484	242	18	using	use	VERB
cana-3484	242	19	generalized	generalized	ADJ
cana-3484	242	20	trapezoidal	trapezoidal	ADJ
cana-3484	242	21	fuzzy	fuzzy	ADJ
cana-3484	242	22	numbers	number	NOUN
cana-3484	242	23	,	,	PUNCT
cana-3484	242	24	applied	apply	VERB
cana-3484	242	25	soft	soft	ADJ
cana-3484	242	26	computing	computing	NOUN
cana-3484	242	27	(	(	PUNCT
cana-3484	242	28	2011	2011	NUM
cana-3484	242	29	)	)	PUNCT
cana-3484	242	30	,	,	PUNCT
cana-3484	242	31	1	1	NUM
cana-3484	242	32	-	-	SYM
cana-3484	242	33	34	34	NUM
cana-3484	242	34	.	.	PUNCT
cana-3484	243	1	[	[	X
cana-3484	243	2	3	3	NUM
cana-3484	243	3	]	]	X
cana-3484	243	4	adrian	adrian	PROPN
cana-3484	243	5	ban	ban	NOUN
cana-3484	243	6	2008	2008	NUM
cana-3484	243	7	,	,	PUNCT
cana-3484	243	8	‘	'	PUNCT
cana-3484	243	9	approximation	approximation	NOUN
cana-3484	243	10	of	of	ADP
cana-3484	243	11	fuzzy	fuzzy	ADJ
cana-3484	243	12	numbers	number	NOUN
cana-3484	243	13	by	by	ADP
cana-3484	243	14	trapezoidal	trapezoidal	ADJ
cana-3484	243	15	fuzzy	fuzzy	ADJ
cana-3484	243	16	numbers	number	NOUN
cana-3484	243	17	preserving	preserve	VERB
cana-3484	243	18	the	the	DET
cana-3484	243	19	expected	expect	VERB
cana-3484	243	20	interval	interval	NOUN
cana-3484	243	21	’	'	PUNCT
cana-3484	243	22	,	,	PUNCT
cana-3484	243	23	fuzzy	fuzzy	ADJ
cana-3484	243	24	sets	set	NOUN
cana-3484	243	25	and	and	CCONJ
cana-3484	243	26	systems	system	NOUN
cana-3484	243	27	,	,	PUNCT
cana-3484	243	28	vol	vol	NOUN
cana-3484	243	29	.	.	PROPN
cana-3484	243	30	159	159	NUM
cana-3484	243	31	,	,	PUNCT
cana-3484	243	32	no	no	INTJ
cana-3484	243	33	.	.	NOUN
cana-3484	243	34	11	11	NUM
cana-3484	243	35	,	,	PUNCT
cana-3484	243	36	pp	pp	ADJ
cana-3484	243	37	.	.	PUNCT
cana-3484	244	1	1327	1327	NUM
cana-3484	244	2	-	-	SYM
cana-3484	244	3	1344	1344	NUM
cana-3484	244	4	.	.	PUNCT
cana-3484	245	1	[	[	X
cana-3484	245	2	4	4	X
cana-3484	245	3	]	]	X
cana-3484	245	4	ali	ali	PROPN
cana-3484	245	5	ebrahim	ebrahim	PROPN
cana-3484	245	6	,	,	PUNCT
cana-3484	245	7	n.	n.	NOUN
cana-3484	245	8	:	:	PUNCT
cana-3484	245	9	a	a	DET
cana-3484	245	10	simplified	simplified	ADJ
cana-3484	245	11	new	new	ADJ
cana-3484	245	12	approach	approach	NOUN
cana-3484	245	13	for	for	ADP
cana-3484	245	14	solving	solve	VERB
cana-3484	245	15	fuzzy	fuzzy	ADJ
cana-3484	245	16	transportation	transportation	NOUN
cana-3484	245	17	problems	problem	NOUN
cana-3484	245	18	with	with	ADP
cana-3484	245	19	generalized	generalized	ADJ
cana-3484	245	20	trapezoidal	trapezoidal	ADJ
cana-3484	245	21	fuzzy	fuzzy	ADJ
cana-3484	245	22	numbers	number	NOUN
cana-3484	245	23	.	.	PUNCT
cana-3484	246	1	appl	appl	PROPN
cana-3484	246	2	.	.	PUNCT
cana-3484	246	3	soft	soft	ADJ
cana-3484	246	4	comput	comput	NOUN
cana-3484	246	5	.	.	PUNCT
cana-3484	247	1	171–176	171–176	NUM
cana-3484	247	2	(	(	PUNCT
cana-3484	247	3	2014	2014	NUM
cana-3484	247	4	)	)	PUNCT
cana-3484	247	5	.	.	PUNCT
cana-3484	248	1	[	[	X
cana-3484	248	2	5	5	X
cana-3484	248	3	]	]	PUNCT
cana-3484	248	4	amit	amit	PROPN
cana-3484	248	5	kumar	kumar	PROPN
cana-3484	248	6	,	,	PUNCT
cana-3484	248	7	pushpinder	pushpinder	PROPN
cana-3484	248	8	singh	singh	PROPN
cana-3484	248	9	,	,	PUNCT
cana-3484	248	10	amarpreet	amarpreet	PROPN
cana-3484	248	11	kaur	kaur	PROPN
cana-3484	248	12	&	&	CCONJ
cana-3484	248	13	parmpreet	parmpreet	PROPN
cana-3484	248	14	kaur	kaur	PROPN
cana-3484	248	15	,	,	PUNCT
cana-3484	248	16	2010	2010	NUM
cana-3484	248	17	,	,	PUNCT
cana-3484	248	18	rm	rm	PROPN
cana-3484	248	19	approach	approach	NOUN
cana-3484	248	20	for	for	ADP
cana-3484	248	21	ranking	ranking	NOUN
cana-3484	248	22	of	of	ADP
cana-3484	248	23	generalized	generalized	ADJ
cana-3484	248	24	trapezoidal	trapezoidal	ADJ
cana-3484	248	25	fuzzy	fuzzy	ADJ
cana-3484	248	26	number	number	NOUN
cana-3484	248	27	,	,	PUNCT
cana-3484	248	28	fuzzy	fuzzy	ADJ
cana-3484	248	29	information	information	NOUN
cana-3484	248	30	and	and	CCONJ
cana-3484	248	31	engineering	engineering	NOUN
cana-3484	248	32	,	,	PUNCT
cana-3484	248	33	vol	vol	NOUN
cana-3484	248	34	.	.	PROPN
cana-3484	249	1	2	2	NUM
cana-3484	249	2	,	,	PUNCT
cana-3484	249	3	no	no	INTJ
cana-3484	249	4	.	.	NOUN
cana-3484	249	5	1	1	NUM
cana-3484	249	6	,	,	PUNCT
cana-3484	249	7	pp	pp	ADJ
cana-3484	249	8	.	.	PUNCT
cana-3484	250	1	37	37	NUM
cana-3484	250	2	-	-	SYM
cana-3484	250	3	47	47	NUM
cana-3484	250	4	.	.	PUNCT
cana-3484	251	1	[	[	X
cana-3484	251	2	6	6	NUM
cana-3484	251	3	]	]	X
cana-3484	251	4	ammar	ammar	PROPN
cana-3484	251	5	,	,	PUNCT
cana-3484	251	6	ee	ee	PROPN
cana-3484	251	7	&	&	CCONJ
cana-3484	251	8	youness	youness	NOUN
cana-3484	251	9	,	,	PUNCT
cana-3484	251	10	ea	ea	PROPN
cana-3484	251	11	2005	2005	NUM
cana-3484	251	12	,	,	PUNCT
cana-3484	251	13	‘	'	PUNCT
cana-3484	251	14	study	study	NOUN
cana-3484	251	15	on	on	ADP
cana-3484	251	16	multi	multi	ADJ
cana-3484	251	17	-	-	ADJ
cana-3484	251	18	objective	objective	ADJ
cana-3484	251	19	transportation	transportation	NOUN
cana-3484	251	20	problem	problem	NOUN
cana-3484	251	21	with	with	ADP
cana-3484	251	22	fuzzy	fuzzy	ADJ
cana-3484	251	23	numbers	number	NOUN
cana-3484	251	24	’	'	PUNCT
cana-3484	251	25	,	,	PUNCT
cana-3484	251	26	applied	apply	VERB
cana-3484	251	27	mathematics	mathematic	NOUN
cana-3484	251	28	and	and	CCONJ
cana-3484	251	29	computation	computation	NOUN
cana-3484	251	30	,	,	PUNCT
cana-3484	251	31	vol	vol	NOUN
cana-3484	251	32	.	.	PROPN
cana-3484	251	33	66	66	NUM
cana-3484	251	34	,	,	PUNCT
cana-3484	251	35	pp	pp	ADJ
cana-3484	251	36	.	.	PUNCT
cana-3484	252	1	241	241	NUM
cana-3484	252	2	-	-	SYM
cana-3484	252	3	253	253	NUM
cana-3484	252	4	.	.	PUNCT
cana-3484	253	1	[	[	X
cana-3484	253	2	7	7	NUM
cana-3484	253	3	]	]	X
cana-3484	253	4	ameen	ameen	NOUN
cana-3484	253	5	,	,	PUNCT
cana-3484	253	6	a.	a.	NOUN
cana-3484	253	7	o.	o.	PROPN
cana-3484	253	8	(	(	PUNCT
cana-3484	253	9	2015	2015	NUM
cana-3484	253	10	)	)	PUNCT
cana-3484	253	11	.	.	PUNCT
cana-3484	254	1	improved	improve	VERB
cana-3484	254	2	two	two	NUM
cana-3484	254	3	-	-	PUNCT
cana-3484	254	4	phase	phase	NOUN
cana-3484	254	5	solution	solution	NOUN
cana-3484	254	6	strategy	strategy	NOUN
cana-3484	254	7	for	for	ADP
cana-3484	254	8	multi	multi	ADJ
cana-3484	254	9	objective	objective	ADJ
cana-3484	254	10	fuzzy	fuzzy	ADJ
cana-3484	254	11	stochastic	stochastic	ADJ
cana-3484	254	12	linear	linear	ADJ
cana-3484	254	13	programming	programming	NOUN
cana-3484	254	14	problems	problem	NOUN
cana-3484	254	15	with	with	ADP
cana-3484	254	16	uncertain	uncertain	ADJ
cana-3484	254	17	probability	probability	NOUN
cana-3484	254	18	distribution	distribution	NOUN
cana-3484	254	19	(	(	PUNCT
cana-3484	254	20	1st	1st	ADJ
cana-3484	254	21	ed	ed	NOUN
cana-3484	254	22	.	.	PUNCT
cana-3484	254	23	)	)	PUNCT
cana-3484	254	24	.	.	PUNCT
cana-3484	255	1	malaysia	malaysia	PROPN
cana-3484	255	2	:	:	PUNCT
cana-3484	256	1	universiti	universiti	PROPN
cana-3484	256	2	teknologi	teknologi	PROPN
cana-3484	256	3	malaysia	malaysia	PROPN
cana-3484	256	4	.	.	PUNCT
cana-3484	257	1	[	[	X
cana-3484	257	2	8	8	NUM
cana-3484	257	3	]	]	X
cana-3484	257	4	annie	annie	NOUN
cana-3484	257	5	christi	christi	PROPN
cana-3484	257	6	,	,	PUNCT
cana-3484	257	7	ms	ms	PROPN
cana-3484	257	8	&	&	CCONJ
cana-3484	257	9	shoba	shoba	PROPN
cana-3484	257	10	kumari	kumari	PROPN
cana-3484	257	11	,	,	PUNCT
cana-3484	257	12	k	k	PROPN
cana-3484	257	13	2015	2015	NUM
cana-3484	257	14	,	,	PUNCT
cana-3484	257	15	‘	'	PUNCT
cana-3484	257	16	two	two	NUM
cana-3484	257	17	stage	stage	NOUN
cana-3484	257	18	fuzzy	fuzzy	ADJ
cana-3484	257	19	transportation	transportation	NOUN
cana-3484	257	20	problem	problem	NOUN
cana-3484	257	21	using	use	VERB
cana-3484	257	22	symmetric	symmetric	ADJ
cana-3484	257	23	trapezoidal	trapezoidal	ADJ
cana-3484	257	24	fuzzy	fuzzy	ADJ
cana-3484	257	25	number	number	NOUN
cana-3484	257	26	’	'	PUNCT
cana-3484	257	27	,	,	PUNCT
cana-3484	257	28	international	international	ADJ
cana-3484	257	29	journal	journal	NOUN
cana-3484	257	30	of	of	ADP
cana-3484	257	31	engineering	engineering	NOUN
cana-3484	257	32	invention	invention	NOUN
cana-3484	257	33	,	,	PUNCT
cana-3484	257	34	vol	vol	NOUN
cana-3484	257	35	.	.	PROPN
cana-3484	257	36	4	4	NUM
cana-3484	257	37	,	,	PUNCT
cana-3484	257	38	no	no	INTJ
cana-3484	257	39	.	.	NOUN
cana-3484	257	40	11	11	NUM
cana-3484	257	41	,	,	PUNCT
cana-3484	257	42	pp	pp	ADJ
cana-3484	257	43	.	.	PUNCT
cana-3484	257	44	07	07	NUM
cana-3484	257	45	-	-	SYM
cana-3484	257	46	10	10	NUM
cana-3484	257	47	.	.	PUNCT
cana-3484	258	1	[	[	X
cana-3484	258	2	9	9	NUM
cana-3484	258	3	]	]	X
cana-3484	258	4	balakrishnan	balakrishnan	PROPN
cana-3484	258	5	,	,	PUNCT
cana-3484	258	6	n.	n.	PROPN
cana-3484	258	7	(	(	PUNCT
cana-3484	258	8	1990	1990	NUM
cana-3484	258	9	)	)	PUNCT
cana-3484	258	10	modified	modify	VERB
cana-3484	258	11	vogel	vogel	NOUN
cana-3484	258	12	’s	’s	PART
cana-3484	258	13	approximation	approximation	NOUN
cana-3484	258	14	method	method	NOUN
cana-3484	258	15	for	for	ADP
cana-3484	258	16	the	the	DET
cana-3484	258	17	unbalanced	unbalanced	ADJ
cana-3484	258	18	transportation	transportation	NOUN
cana-3484	258	19	problem	problem	NOUN
cana-3484	258	20	.	.	PUNCT
cana-3484	258	21	applied	apply	VERB
cana-3484	258	22	mathematics	mathematics	NOUN
cana-3484	258	23	letters	letter	NOUN
cana-3484	258	24	,	,	PUNCT
cana-3484	258	25	3	3	NUM
cana-3484	258	26	,	,	PUNCT
cana-3484	258	27	s11	s11	PROPN
cana-3484	258	28	.	.	PUNCT
cana-3484	259	1	http://dx.doi.org/10.1016/0893-9659(90)90003-t	http://dx.doi.org/10.1016/0893-9659(90)90003-t	PROPN
cana-3484	259	2	.	.	PUNCT
cana-3484	260	1	[	[	X
cana-3484	260	2	10	10	NUM
cana-3484	260	3	]	]	X
cana-3484	260	4	dantzig	dantzig	NOUN
cana-3484	260	5	,	,	PUNCT
cana-3484	260	6	g.b	g.b	PROPN
cana-3484	260	7	.	.	PROPN
cana-3484	260	8	&	&	CCONJ
cana-3484	260	9	m.n	m.n	PROPN
cana-3484	260	10	.	.	PROPN
cana-3484	260	11	thapa	thapa	PROPN
cana-3484	260	12	,	,	PUNCT
cana-3484	260	13	springer	springer	NOUN
cana-3484	260	14	:	:	PUNCT
cana-3484	260	15	linear	linear	PROPN
cana-3484	260	16	programming	programming	NOUN
cana-3484	260	17	:	:	PUNCT
cana-3484	260	18	2	2	NUM
cana-3484	260	19	:	:	PUNCT
cana-3484	260	20	theory	theory	NOUN
cana-3484	260	21	and	and	CCONJ
cana-3484	260	22	extensions	extension	NOUN
cana-3484	260	23	,	,	PUNCT
cana-3484	260	24	princeton	princeton	PROPN
cana-3484	260	25	university	university	PROPN
cana-3484	260	26	press	press	NOUN
cana-3484	260	27	,	,	PUNCT
cana-3484	260	28	new	new	PROPN
cana-3484	260	29	jersey	jersey	PROPN
cana-3484	260	30	,	,	PUNCT
cana-3484	260	31	1963	1963	NUM
cana-3484	260	32	.	.	PUNCT
cana-3484	261	1	[	[	X
cana-3484	261	2	11	11	NUM
cana-3484	261	3	]	]	X
cana-3484	261	4	dharani	dharani	NOUN
cana-3484	261	5	,	,	PUNCT
cana-3484	261	6	k;selvi	k;selvi	AUX
cana-3484	261	7	,	,	PUNCT
cana-3484	261	8	d.	d.	PROPN
cana-3484	261	9	(	(	PUNCT
cana-3484	261	10	2018	2018	NUM
cana-3484	261	11	)	)	PUNCT
cana-3484	261	12	.	.	PUNCT
cana-3484	262	1	solving	solve	VERB
cana-3484	262	2	intuitionistic	intuitionistic	ADJ
cana-3484	262	3	fuzzy	fuzzy	ADJ
cana-3484	262	4	transportation	transportation	NOUN
cana-3484	262	5	problem	problem	NOUN
cana-3484	262	6	with	with	ADP
cana-3484	262	7	ranking	ranking	NOUN
cana-3484	262	8	method	method	NOUN
cana-3484	262	9	using	use	VERB
cana-3484	262	10	matlab	matlab	PROPN
cana-3484	262	11	code	code	PROPN
cana-3484	262	12	.	.	PUNCT
cana-3484	263	1	applied	apply	VERB
cana-3484	263	2	science	science	NOUN
cana-3484	263	3	and	and	CCONJ
cana-3484	263	4	computations	computation	NOUN
cana-3484	263	5	,	,	PUNCT
cana-3484	263	6	5(12	5(12	NUM
cana-3484	263	7	)	)	PUNCT
cana-3484	263	8	,	,	PUNCT
cana-3484	263	9	20	20	NUM
cana-3484	263	10	-	-	SYM
cana-3484	263	11	26	26	NUM
cana-3484	263	12	.	.	PUNCT
cana-3484	264	1	[	[	X
cana-3484	264	2	12	12	NUM
cana-3484	264	3	]	]	X
cana-3484	264	4	dubois	dubois	PROPN
cana-3484	264	5	,	,	PUNCT
cana-3484	264	6	d.	d.	PROPN
cana-3484	264	7	&	&	CCONJ
cana-3484	264	8	prade	prade	PROPN
cana-3484	264	9	,	,	PUNCT
cana-3484	264	10	h.	h.	NOUN
cana-3484	264	11	,	,	PUNCT
cana-3484	264	12	fuzzy	fuzzy	ADJ
cana-3484	264	13	set	set	NOUN
cana-3484	264	14	and	and	CCONJ
cana-3484	264	15	systems	system	NOUN
cana-3484	264	16	theory	theory	NOUN
cana-3484	264	17	and	and	CCONJ
cana-3484	264	18	application	application	NOUN
cana-3484	264	19	.	.	PUNCT
cana-3484	265	1	new	new	ADJ
cana-3484	265	2	[	[	X
cana-3484	265	3	13	13	NUM
cana-3484	265	4	]	]	SYM
cana-3484	265	5	york	york	PROPN
cana-3484	265	6	,	,	PUNCT
cana-3484	265	7	ny	ny	PROPN
cana-3484	265	8	:	:	PUNCT
cana-3484	265	9	academic	academic	ADJ
cana-3484	265	10	press	press	NOUN
cana-3484	265	11	(	(	PUNCT
cana-3484	265	12	1980	1980	NUM
cana-3484	265	13	)	)	PUNCT
cana-3484	265	14	.	.	PUNCT
cana-3484	266	1	[	[	X
cana-3484	266	2	14	14	NUM
cana-3484	266	3	]	]	PUNCT
cana-3484	266	4	edward	edward	PROPN
cana-3484	266	5	samuel	samuel	PROPN
cana-3484	266	6	,	,	PUNCT
cana-3484	266	7	a.	a.	NOUN
cana-3484	266	8	and	and	CCONJ
cana-3484	266	9	venkatachalapathy	venkatachalapathy	ADJ
cana-3484	266	10	,	,	PUNCT
cana-3484	266	11	m.	m.	NOUN
cana-3484	266	12	(	(	PUNCT
cana-3484	266	13	2011	2011	NUM
cana-3484	266	14	)	)	PUNCT
cana-3484	266	15	modified	modify	VERB
cana-3484	266	16	vogel	vogel	NOUN
cana-3484	266	17	’s	’s	PART
cana-3484	266	18	approximation	approximation	NOUN
cana-3484	266	19	method	method	NOUN
cana-3484	266	20	for	for	ADP
cana-3484	266	21	fuzzy	fuzzy	ADJ
cana-3484	266	22	transportation	transportation	NOUN
cana-3484	266	23	problems	problem	NOUN
cana-3484	266	24	.	.	PUNCT
cana-3484	267	1	applied	apply	VERB
cana-3484	267	2	mathematical	mathematical	ADJ
cana-3484	267	3	sciences	science	NOUN
cana-3484	267	4	,	,	PUNCT
cana-3484	267	5	5	5	NUM
cana-3484	267	6	,	,	PUNCT
cana-3484	267	7	1367	1367	NUM
cana-3484	267	8	-	-	SYM
cana-3484	267	9	1372	1372	NUM
cana-3484	267	10	.	.	PUNCT
cana-3484	268	1	[	[	X
cana-3484	268	2	15	15	NUM
cana-3484	268	3	]	]	X
cana-3484	268	4	edward	edward	PROPN
cana-3484	268	5	samuel	samuel	PROPN
cana-3484	268	6	,	,	PUNCT
cana-3484	268	7	a.	a.	PROPN
cana-3484	268	8	&	&	CCONJ
cana-3484	268	9	venkatachalapathy	venkatachalapathy	ADJ
cana-3484	268	10	,	,	PUNCT
cana-3484	268	11	m	m	PROPN
cana-3484	268	12	,	,	PUNCT
cana-3484	268	13	a	a	DET
cana-3484	268	14	new	new	ADJ
cana-3484	268	15	procedure	procedure	NOUN
cana-3484	268	16	for	for	ADP
cana-3484	268	17	solving	solve	VERB
cana-3484	268	18	the	the	DET
cana-3484	268	19	generalized	generalized	ADJ
cana-3484	268	20	trapezoidal	trapezoidal	ADJ
cana-3484	268	21	fuzzy	fuzzy	ADJ
cana-3484	268	22	transportation	transportation	NOUN
cana-3484	268	23	problem	problem	NOUN
cana-3484	268	24	,	,	PUNCT
cana-3484	268	25	advances	advance	NOUN
cana-3484	268	26	in	in	ADP
cana-3484	268	27	fuzzy	fuzzy	ADJ
cana-3484	268	28	sets	set	NOUN
cana-3484	268	29	and	and	CCONJ
cana-3484	268	30	systems	system	NOUN
cana-3484	268	31	,	,	PUNCT
cana-3484	268	32	12(2	12(2	NUM
cana-3484	268	33	)	)	PUNCT
cana-3484	268	34	(	(	PUNCT
cana-3484	268	35	2012),111	2012),111	NUM
cana-3484	268	36	-	-	SYM
cana-3484	268	37	125	125	NUM
cana-3484	268	38	.	.	PUNCT
cana-3484	269	1	communications	communication	NOUN
cana-3484	269	2	on	on	ADP
cana-3484	269	3	applied	apply	VERB
cana-3484	269	4	nonlinear	nonlinear	ADJ
cana-3484	269	5	analysis	analysis	NOUN
cana-3484	269	6	issn	issn	NOUN
cana-3484	269	7	:	:	PUNCT
cana-3484	269	8	1074	1074	NUM
cana-3484	269	9	-	-	PUNCT
cana-3484	269	10	133x	133x	NUM
cana-3484	269	11	vol	vol	NOUN
cana-3484	269	12	32	32	NUM
cana-3484	269	13	no	no	NOUN
cana-3484	269	14	.	.	PUNCT
cana-3484	270	1	7s	7	NOUN
cana-3484	270	2	(	(	PUNCT
cana-3484	270	3	2025	2025	NUM
cana-3484	270	4	)	)	PUNCT
cana-3484	270	5	781	781	NUM
cana-3484	270	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3484	271	1	[	[	X
cana-3484	271	2	16	16	NUM
cana-3484	271	3	]	]	X
cana-3484	271	4	hitchcock	hitchcock	PROPN
cana-3484	271	5	,	,	PUNCT
cana-3484	271	6	f.l	f.l	PROPN
cana-3484	271	7	.	.	PROPN
cana-3484	271	8	,	,	PUNCT
cana-3484	271	9	the	the	DET
cana-3484	271	10	distribution	distribution	NOUN
cana-3484	271	11	of	of	ADP
cana-3484	271	12	a	a	DET
cana-3484	271	13	product	product	NOUN
cana-3484	271	14	from	from	ADP
cana-3484	271	15	several	several	ADJ
cana-3484	271	16	sources	source	NOUN
cana-3484	271	17	to	to	ADP
cana-3484	271	18	numerous	numerous	ADJ
cana-3484	271	19	localities	locality	NOUN
cana-3484	271	20	,	,	PUNCT
cana-3484	271	21	journal	journal	NOUN
cana-3484	271	22	of	of	ADP
cana-3484	271	23	mathematical	mathematical	ADJ
cana-3484	271	24	physics	physics	NOUN
cana-3484	271	25	,	,	PUNCT
cana-3484	271	26	20	20	NUM
cana-3484	271	27	(	(	PUNCT
cana-3484	271	28	1941	1941	NUM
cana-3484	271	29	)	)	PUNCT
cana-3484	271	30	224	224	NUM
cana-3484	271	31	-	-	SYM
cana-3484	271	32	230	230	NUM
cana-3484	271	33	.	.	PUNCT
cana-3484	272	1	[	[	X
cana-3484	272	2	17	17	NUM
cana-3484	272	3	]	]	X
cana-3484	272	4	halgurd	halgurd	NOUN
cana-3484	272	5	namiq	namiq	PROPN
cana-3484	272	6	azeez	azeez	PROPN
cana-3484	272	7	,	,	PUNCT
cana-3484	272	8	abdulqader	abdulqader	PROPN
cana-3484	272	9	othman	othman	PROPN
cana-3484	272	10	hamad	hamad	PROPN
cana-3484	272	11	ameen	ameen	PROPN
cana-3484	272	12	,	,	PUNCT
cana-3484	272	13	solving	solve	VERB
cana-3484	272	14	stochastic	stochastic	ADJ
cana-3484	272	15	transportation	transportation	NOUN
cana-3484	272	16	electricity	electricity	NOUN
cana-3484	272	17	problem	problem	NOUN
cana-3484	272	18	with	with	ADP
cana-3484	272	19	fuzzy	fuzzy	ADJ
cana-3484	272	20	information	information	NOUN
cana-3484	272	21	on	on	ADP
cana-3484	272	22	probability	probability	NOUN
cana-3484	272	23	distribution	distribution	NOUN
cana-3484	272	24	using	use	VERB
cana-3484	272	25	matlab	matlab	PROPN
cana-3484	272	26	program	program	NOUN
cana-3484	272	27	,	,	PUNCT
cana-3484	272	28	science	science	NOUN
cana-3484	272	29	journal	journal	NOUN
cana-3484	272	30	of	of	ADP
cana-3484	272	31	the	the	DET
cana-3484	272	32	university	university	PROPN
cana-3484	272	33	of	of	ADP
cana-3484	272	34	zakho	zakho	PROPN
cana-3484	272	35	,	,	PUNCT
cana-3484	272	36	vol	vol	NOUN
cana-3484	272	37	.	.	PROPN
cana-3484	272	38	12	12	NUM
cana-3484	272	39	,	,	PUNCT
cana-3484	272	40	no	no	INTJ
cana-3484	272	41	.	.	NOUN
cana-3484	272	42	1	1	NUM
cana-3484	272	43	,	,	PUNCT
cana-3484	272	44	pp	pp	ADJ
cana-3484	272	45	.	.	PUNCT
cana-3484	273	1	116	116	NUM
cana-3484	273	2	–	–	PUNCT
cana-3484	273	3	137	137	NUM
cana-3484	273	4	,	,	PUNCT
cana-3484	273	5	2024	2024	NUM
cana-3484	273	6	.	.	PUNCT
cana-3484	274	1	[	[	X
cana-3484	274	2	18	18	NUM
cana-3484	274	3	]	]	X
cana-3484	274	4	jain	jain	PROPN
cana-3484	274	5	,	,	PUNCT
cana-3484	274	6	k.k	k.k	PROPN
cana-3484	274	7	.	.	PROPN
cana-3484	274	8	,	,	PUNCT
cana-3484	274	9	bhardwaj	bhardwaj	PROPN
cana-3484	274	10	,	,	PUNCT
cana-3484	274	11	r.	r.	PROPN
cana-3484	274	12	,	,	PUNCT
cana-3484	274	13	choudhary	choudhary	PROPN
cana-3484	274	14	,	,	PUNCT
cana-3484	274	15	s.	s.	PROPN
cana-3484	274	16	:	:	PUNCT
cana-3484	274	17	a	a	DET
cana-3484	274	18	multi	multi	ADJ
cana-3484	274	19	-	-	ADJ
cana-3484	274	20	objective	objective	ADJ
cana-3484	274	21	transportation	transportation	NOUN
cana-3484	274	22	problem	problem	NOUN
cana-3484	274	23	solve	solve	NOUN
cana-3484	274	24	by	by	ADP
cana-3484	274	25	lexio	lexio	ADJ
cana-3484	274	26	graphic	graphic	ADJ
cana-3484	274	27	goal	goal	NOUN
cana-3484	274	28	programming	programming	NOUN
cana-3484	274	29	.	.	PUNCT
cana-3484	275	1	int	int	NOUN
cana-3484	275	2	.	.	PUNCT
cana-3484	276	1	j.	j.	PROPN
cana-3484	276	2	recent	recent	ADJ
cana-3484	276	3	technol	technol	PROPN
cana-3484	276	4	.	.	PUNCT
cana-3484	277	1	eng	eng	PROPN
cana-3484	277	2	.	.	PUNCT
cana-3484	278	1	(	(	PUNCT
cana-3484	278	2	ijrte	ijrte	NOUN
cana-3484	278	3	)	)	PUNCT
cana-3484	278	4	1842–1846	1842–1846	NUM
cana-3484	278	5	(	(	PUNCT
cana-3484	278	6	2019	2019	NUM
cana-3484	278	7	)	)	PUNCT
cana-3484	278	8	.	.	PUNCT
cana-3484	279	1	[	[	X
cana-3484	279	2	19	19	NUM
cana-3484	279	3	]	]	X
cana-3484	279	4	a.kaufmann	a.kaufmann	PROPN
cana-3484	279	5	,	,	PUNCT
cana-3484	279	6	m.m	m.m	PROPN
cana-3484	279	7	.	.	PROPN
cana-3484	279	8	gupta	gupta	PROPN
cana-3484	279	9	,	,	PUNCT
cana-3484	279	10	fuzzy	fuzzy	ADJ
cana-3484	279	11	mathematical	mathematical	ADJ
cana-3484	279	12	models	model	NOUN
cana-3484	279	13	in	in	ADP
cana-3484	279	14	engineering	engineering	NOUN
cana-3484	279	15	and	and	CCONJ
cana-3484	279	16	management	management	NOUN
cana-3484	279	17	science	science	NOUN
cana-3484	279	18	,	,	PUNCT
cana-3484	279	19	amsterdam	amsterdam	PROPN
cana-3484	279	20	,	,	PUNCT
cana-3484	279	21	the	the	DET
cana-3484	279	22	netherland	netherland	NOUN
cana-3484	279	23	:	:	PUNCT
cana-3484	279	24	elsevier	elsevier	NOUN
cana-3484	279	25	,	,	PUNCT
cana-3484	279	26	(	(	PUNCT
cana-3484	279	27	1988	1988	NUM
cana-3484	279	28	)	)	PUNCT
cana-3484	279	29	.	.	PUNCT
cana-3484	280	1	[	[	X
cana-3484	280	2	20	20	NUM
cana-3484	280	3	]	]	PUNCT
cana-3484	280	4	korukoğlu	korukoğlu	PROPN
cana-3484	280	5	,	,	PUNCT
cana-3484	280	6	s.	s.	PROPN
cana-3484	280	7	and	and	CCONJ
cana-3484	280	8	balli	balli	PROPN
cana-3484	280	9	,	,	PUNCT
cana-3484	280	10	s.	s.	PROPN
cana-3484	280	11	(	(	PUNCT
cana-3484	280	12	2011	2011	NUM
cana-3484	280	13	)	)	PUNCT
cana-3484	280	14	an	an	DET
cana-3484	280	15	improved	improved	ADJ
cana-3484	280	16	vogel	vogel	NOUN
cana-3484	280	17	’s	’s	PART
cana-3484	280	18	approximation	approximation	NOUN
cana-3484	280	19	method	method	NOUN
cana-3484	280	20	for	for	ADP
cana-3484	280	21	the	the	DET
cana-3484	280	22	transportation	transportation	NOUN
cana-3484	280	23	problem	problem	NOUN
cana-3484	280	24	.	.	PUNCT
cana-3484	281	1	mathematical	mathematical	ADJ
cana-3484	281	2	and	and	CCONJ
cana-3484	281	3	computational	computational	ADJ
cana-3484	281	4	applications	application	NOUN
cana-3484	281	5	,	,	PUNCT
cana-3484	281	6	16	16	NUM
cana-3484	281	7	,	,	PUNCT
cana-3484	281	8	370	370	NUM
cana-3484	281	9	-	-	SYM
cana-3484	281	10	381	381	NUM
cana-3484	281	11	.	.	PUNCT
cana-3484	282	1	[	[	X
cana-3484	282	2	21	21	NUM
cana-3484	282	3	]	]	X
cana-3484	282	4	karagul	karagul	NOUN
cana-3484	282	5	,	,	PUNCT
cana-3484	282	6	kenan;sahin	kenan;sahin	PROPN
cana-3484	282	7	,	,	PUNCT
cana-3484	282	8	yusuf	yusuf	PROPN
cana-3484	282	9	.	.	PUNCT
cana-3484	283	1	(	(	PUNCT
cana-3484	283	2	2020	2020	NUM
cana-3484	283	3	)	)	PUNCT
cana-3484	283	4	.	.	PUNCT
cana-3484	284	1	a	a	DET
cana-3484	284	2	novel	novel	ADJ
cana-3484	284	3	approximation	approximation	NOUN
cana-3484	284	4	method	method	NOUN
cana-3484	284	5	to	to	PART
cana-3484	284	6	obtain	obtain	VERB
cana-3484	284	7	initial	initial	ADJ
cana-3484	284	8	basic	basic	ADJ
cana-3484	284	9	feasible	feasible	ADJ
cana-3484	284	10	solution	solution	NOUN
cana-3484	284	11	of	of	ADP
cana-3484	284	12	transportation	transportation	NOUN
cana-3484	284	13	problem	problem	NOUN
cana-3484	284	14	.	.	PUNCT
cana-3484	285	1	journal	journal	NOUN
cana-3484	285	2	of	of	ADP
cana-3484	285	3	king	king	PROPN
cana-3484	285	4	saud	saud	PROPN
cana-3484	285	5	university	university	PROPN
cana-3484	285	6	-	-	PUNCT
cana-3484	285	7	engineering	engineering	NOUN
cana-3484	285	8	sciences	science	NOUN
cana-3484	285	9	,	,	PUNCT
cana-3484	285	10	32(3	32(3	NUM
cana-3484	285	11	)	)	PUNCT
cana-3484	285	12	,	,	PUNCT
cana-3484	285	13	211	211	NUM
cana-3484	285	14	-	-	SYM
cana-3484	285	15	218	218	NUM
cana-3484	285	16	.	.	PUNCT
cana-3484	286	1	[	[	X
cana-3484	286	2	22	22	NUM
cana-3484	286	3	]	]	X
cana-3484	286	4	f.t	f.t	PROPN
cana-3484	286	5	.	.	PUNCT
cana-3484	286	6	lin	lin	PROPN
cana-3484	286	7	,	,	PUNCT
cana-3484	286	8	solving	solve	VERB
cana-3484	286	9	the	the	DET
cana-3484	286	10	transportation	transportation	NOUN
cana-3484	286	11	problem	problem	NOUN
cana-3484	286	12	with	with	ADP
cana-3484	286	13	fuzzy	fuzzy	ADJ
cana-3484	286	14	coefficients	coefficient	NOUN
cana-3484	286	15	using	use	VERB
cana-3484	286	16	genetic	genetic	ADJ
cana-3484	286	17	algorithms	algorithm	NOUN
cana-3484	286	18	,	,	PUNCT
cana-3484	286	19	proceedings	proceeding	NOUN
cana-3484	286	20	ieee	ieee	VERB
cana-3484	286	21	international	international	ADJ
cana-3484	286	22	conference	conference	NOUN
cana-3484	286	23	on	on	ADP
cana-3484	286	24	fuzzy	fuzzy	ADJ
cana-3484	286	25	systems	system	NOUN
cana-3484	286	26	,	,	PUNCT
cana-3484	286	27	(	(	PUNCT
cana-3484	286	28	2009	2009	NUM
cana-3484	286	29	)	)	PUNCT
cana-3484	286	30	20	20	NUM
cana-3484	286	31	-	-	SYM
cana-3484	286	32	24	24	NUM
cana-3484	286	33	.	.	PUNCT
cana-3484	287	1	[	[	X
cana-3484	287	2	23	23	NUM
cana-3484	287	3	]	]	X
cana-3484	287	4	t.s	t.s	PROPN
cana-3484	287	5	.	.	PROPN
cana-3484	287	6	liou	liou	PROPN
cana-3484	287	7	,	,	PUNCT
cana-3484	287	8	m.j	m.j	PROPN
cana-3484	287	9	.	.	PROPN
cana-3484	287	10	wang	wang	PROPN
cana-3484	287	11	,	,	PUNCT
cana-3484	287	12	ranking	rank	VERB
cana-3484	287	13	fuzzy	fuzzy	ADJ
cana-3484	287	14	number	number	NOUN
cana-3484	287	15	with	with	ADP
cana-3484	287	16	integral	integral	ADJ
cana-3484	287	17	values	value	NOUN
cana-3484	287	18	,	,	PUNCT
cana-3484	287	19	fuzzy	fuzzy	ADJ
cana-3484	287	20	sets	set	NOUN
cana-3484	287	21	and	and	CCONJ
cana-3484	287	22	systems	system	NOUN
cana-3484	287	23	50	50	NUM
cana-3484	287	24	(	(	PUNCT
cana-3484	287	25	1992	1992	NUM
cana-3484	287	26	)	)	PUNCT
cana-3484	287	27	247	247	NUM
cana-3484	287	28	-	-	SYM
cana-3484	287	29	255	255	NUM
cana-3484	287	30	.	.	PUNCT
cana-3484	288	1	[	[	X
cana-3484	288	2	24	24	NUM
cana-3484	288	3	]	]	PUNCT
cana-3484	288	4	pandian	pandian	NOUN
cana-3484	288	5	,	,	PUNCT
cana-3484	288	6	p	p	PROPN
cana-3484	288	7	&	&	CCONJ
cana-3484	288	8	anuradha	anuradha	PROPN
cana-3484	288	9	,	,	PUNCT
cana-3484	288	10	d	d	PROPN
cana-3484	288	11	2010	2010	NUM
cana-3484	288	12	,	,	PUNCT
cana-3484	288	13	‘	'	PUNCT
cana-3484	288	14	a	a	DET
cana-3484	288	15	new	new	ADJ
cana-3484	288	16	approach	approach	NOUN
cana-3484	288	17	for	for	ADP
cana-3484	288	18	solving	solve	VERB
cana-3484	288	19	solid	solid	ADJ
cana-3484	288	20	transportation	transportation	NOUN
cana-3484	288	21	problems	problem	NOUN
cana-3484	288	22	’	'	PUNCT
cana-3484	288	23	,	,	PUNCT
cana-3484	288	24	applied	apply	VERB
cana-3484	288	25	mathematical	mathematical	ADJ
cana-3484	288	26	sciences	science	NOUN
cana-3484	288	27	,	,	PUNCT
cana-3484	288	28	vol	vol	NOUN
cana-3484	288	29	.	.	PROPN
cana-3484	288	30	4	4	NUM
cana-3484	288	31	,	,	PUNCT
cana-3484	288	32	no	no	INTJ
cana-3484	288	33	.	.	NOUN
cana-3484	288	34	72	72	NUM
cana-3484	288	35	,	,	PUNCT
cana-3484	288	36	pp	pp	ADJ
cana-3484	288	37	.	.	PUNCT
cana-3484	288	38	3603	3603	NUM
cana-3484	288	39	-	-	SYM
cana-3484	288	40	3610	3610	NUM
cana-3484	288	41	.	.	PUNCT
cana-3484	289	1	[	[	X
cana-3484	289	2	25	25	NUM
cana-3484	289	3	]	]	X
cana-3484	289	4	sifaoui	sifaoui	ADJ
cana-3484	289	5	,	,	PUNCT
cana-3484	289	6	t.	t.	NOUN
cana-3484	289	7	,	,	PUNCT
cana-3484	289	8	aïder	aïder	NOUN
cana-3484	289	9	,	,	PUNCT
cana-3484	289	10	m.	m.	NOUN
cana-3484	289	11	(	(	PUNCT
cana-3484	289	12	2022	2022	NUM
cana-3484	289	13	)	)	PUNCT
cana-3484	289	14	.	.	PUNCT
cana-3484	290	1	a	a	DET
cana-3484	290	2	multi	multi	ADJ
cana-3484	290	3	-	-	ADJ
cana-3484	290	4	objective	objective	ADJ
cana-3484	290	5	solid	solid	ADJ
cana-3484	290	6	transportation	transportation	NOUN
cana-3484	290	7	problem	problem	NOUN
cana-3484	290	8	in	in	ADP
cana-3484	290	9	sustainable	sustainable	ADJ
cana-3484	290	10	development	development	NOUN
cana-3484	290	11	.	.	PUNCT
cana-3484	291	1	in	in	ADP
cana-3484	291	2	:	:	PUNCT
cana-3484	291	3	verdegay	verdegay	ADJ
cana-3484	291	4	,	,	PUNCT
cana-3484	291	5	j.l	j.l	PROPN
cana-3484	291	6	.	.	PROPN
cana-3484	291	7	,	,	PUNCT
cana-3484	291	8	brito	brito	PROPN
cana-3484	291	9	,	,	PUNCT
cana-3484	291	10	j.	j.	PROPN
cana-3484	291	11	,	,	PUNCT
cana-3484	291	12	cruz	cruz	PROPN
cana-3484	291	13	,	,	PUNCT
cana-3484	291	14	c.	c.	PROPN
cana-3484	291	15	(	(	PUNCT
cana-3484	291	16	eds	eds	PROPN
cana-3484	291	17	)	)	PUNCT
cana-3484	291	18	computational	computational	ADJ
cana-3484	291	19	intelligence	intelligence	NOUN
cana-3484	291	20	methodologies	methodology	NOUN
cana-3484	291	21	applied	apply	VERB
cana-3484	291	22	to	to	ADP
cana-3484	291	23	sustainable	sustainable	ADJ
cana-3484	291	24	development	development	NOUN
cana-3484	291	25	goals	goal	NOUN
cana-3484	291	26	.	.	PUNCT
cana-3484	292	1	studies	study	NOUN
cana-3484	292	2	in	in	ADP
cana-3484	292	3	computational	computational	ADJ
cana-3484	292	4	intelligence	intelligence	NOUN
cana-3484	292	5	,	,	PUNCT
cana-3484	292	6	vol	vol	NOUN
cana-3484	292	7	1036	1036	NUM
cana-3484	292	8	.	.	PUNCT
cana-3484	293	1	springer	springer	NOUN
cana-3484	293	2	,	,	PUNCT
cana-3484	293	3	cham	cham	PROPN
cana-3484	293	4	.	.	PUNCT
cana-3484	294	1	[	[	X
cana-3484	294	2	26	26	NUM
cana-3484	294	3	]	]	PUNCT
cana-3484	294	4	venkatachalapathy.m	venkatachalapathy.m	NOUN
cana-3484	294	5	.	.	PUNCT
cana-3484	294	6	&	&	CCONJ
cana-3484	294	7	edward	edward	PROPN
cana-3484	294	8	samuel	samuel	PROPN
cana-3484	294	9	,	,	PUNCT
cana-3484	294	10	a	a	PRON
cana-3484	294	11	,	,	PUNCT
cana-3484	294	12	an	an	DET
cana-3484	294	13	alternative	alternative	ADJ
cana-3484	294	14	method	method	NOUN
cana-3484	294	15	for	for	ADP
cana-3484	294	16	solving	solve	VERB
cana-3484	294	17	fuzzy	fuzzy	ADJ
cana-3484	294	18	transportation	transportation	NOUN
cana-3484	294	19	problems	problem	NOUN
cana-3484	294	20	using	use	VERB
cana-3484	294	21	ranking	ranking	NOUN
cana-3484	294	22	functions	function	NOUN
cana-3484	294	23	,	,	PUNCT
cana-3484	294	24	international	international	ADJ
cana-3484	294	25	journal	journal	NOUN
cana-3484	294	26	of	of	ADP
cana-3484	294	27	applied	apply	VERB
cana-3484	294	28	mathematical	mathematical	ADJ
cana-3484	294	29	sciences	science	NOUN
cana-3484	294	30	,	,	PUNCT
cana-3484	294	31	volume	volume	NOUN
cana-3484	294	32	9	9	NUM
cana-3484	294	33	,	,	PUNCT
cana-3484	294	34	number	number	NOUN
cana-3484	294	35	1	1	NUM
cana-3484	294	36	(	(	PUNCT
cana-3484	294	37	2016	2016	NUM
cana-3484	294	38	)	)	PUNCT
cana-3484	294	39	,	,	PUNCT
cana-3484	294	40	pp	pp	PROPN
cana-3484	294	41	.	.	PUNCT
cana-3484	295	1	61	61	NUM
cana-3484	295	2	-	-	SYM
cana-3484	295	3	68	68	NUM
cana-3484	295	4	.	.	PUNCT
cana-3484	296	1	[	[	X
cana-3484	296	2	27	27	NUM
cana-3484	296	3	]	]	SYM
cana-3484	296	4	venkatachalapathy.m	venkatachalapathy.m	NOUN
cana-3484	296	5	,	,	PUNCT
cana-3484	296	6	jayaraja.a	jayaraja.a	PROPN
cana-3484	296	7	&	&	CCONJ
cana-3484	296	8	a.e	a.e	PROPN
cana-3484	296	9	.	.	PROPN
cana-3484	296	10	samuel	samuel	PROPN
cana-3484	296	11	,	,	PUNCT
cana-3484	296	12	a	a	DET
cana-3484	296	13	study	study	NOUN
cana-3484	296	14	on	on	ADP
cana-3484	296	15	solving	solve	VERB
cana-3484	296	16	octagonal	octagonal	ADJ
cana-3484	296	17	fuzzy	fuzzy	ADJ
cana-3484	296	18	numbers	number	NOUN
cana-3484	296	19	using	use	VERB
cana-3484	296	20	the	the	DET
cana-3484	296	21	modified	modify	VERB
cana-3484	296	22	vogel	vogel	NOUN
cana-3484	296	23	’s	’s	PART
cana-3484	296	24	approximation	approximation	NOUN
cana-3484	296	25	method	method	NOUN
cana-3484	296	26	,	,	PUNCT
cana-3484	296	27	international	international	ADJ
cana-3484	296	28	journal	journal	NOUN
cana-3484	296	29	of	of	ADP
cana-3484	296	30	pure	pure	ADJ
cana-3484	296	31	and	and	CCONJ
cana-3484	296	32	applied	applied	ADJ
cana-3484	296	33	mathematics	mathematic	NOUN
cana-3484	296	34	,	,	PUNCT
cana-3484	296	35	volume	volume	NOUN
cana-3484	296	36	118	118	NUM
cana-3484	296	37	,	,	PUNCT
cana-3484	296	38	no	no	INTJ
cana-3484	296	39	.	.	NOUN
cana-3484	296	40	6	6	NUM
cana-3484	296	41	,	,	PUNCT
cana-3484	296	42	2018	2018	NUM
cana-3484	296	43	,	,	PUNCT
cana-3484	296	44	201	201	NUM
cana-3484	296	45	-	-	SYM
cana-3484	296	46	207	207	NUM
cana-3484	296	47	.	.	PUNCT
cana-3484	297	1	[	[	X
cana-3484	297	2	28	28	NUM
cana-3484	297	3	]	]	X
cana-3484	297	4	zadeh	zadeh	PROPN
cana-3484	297	5	,	,	PUNCT
cana-3484	297	6	l.a	l.a	PROPN
cana-3484	297	7	.	.	PROPN
cana-3484	297	8	,	,	PUNCT
cana-3484	297	9	fuzzy	fuzzy	ADJ
cana-3484	297	10	sets	set	NOUN
cana-3484	297	11	,	,	PUNCT
cana-3484	297	12	information	information	NOUN
cana-3484	297	13	and	and	CCONJ
cana-3484	297	14	control	control	NOUN
cana-3484	297	15	,	,	PUNCT
cana-3484	297	16	8	8	NUM
cana-3484	297	17	(	(	PUNCT
cana-3484	297	18	1965	1965	NUM
cana-3484	297	19	)	)	PUNCT
cana-3484	297	20	,	,	PUNCT
cana-3484	297	21	338	338	NUM
cana-3484	297	22	-	-	SYM
cana-3484	297	23	353	353	NUM
cana-3484	297	24	.	.	PUNCT
cana-3484	298	1	[	[	X
cana-3484	298	2	29	29	NUM
cana-3484	298	3	]	]	X
cana-3484	298	4	zena	zena	PROPN
cana-3484	298	5	s.	s.	PROPN
cana-3484	298	6	mahdi	mahdi	PROPN
cana-3484	298	7	,	,	PUNCT
cana-3484	298	8	h.	h.	PROPN
cana-3484	298	9	a.	a.	PROPN
cana-3484	298	10	wasi	wasi	PROPN
cana-3484	298	11	,	,	PUNCT
cana-3484	298	12	mushtak	mushtak	NOUN
cana-3484	298	13	a.	a.	PROPN
cana-3484	298	14	k.	k.	PROPN
cana-3484	298	15	shiker	shiker	PROPN
cana-3484	298	16	,	,	PUNCT
cana-3484	298	17	solving	solve	VERB
cana-3484	298	18	transportation	transportation	NOUN
cana-3484	298	19	problems	problem	NOUN
cana-3484	298	20	by	by	ADP
cana-3484	298	21	using	use	VERB
cana-3484	298	22	modification	modification	NOUN
cana-3484	298	23	to	to	ADP
cana-3484	298	24	vogel	vogel	NOUN
cana-3484	298	25	’s	’s	PART
cana-3484	298	26	approximation	approximation	NOUN
cana-3484	298	27	method	method	NOUN
cana-3484	298	28	,	,	PUNCT
cana-3484	298	29	aip	aip	PROPN
cana-3484	298	30	conf	conf	PROPN
cana-3484	298	31	.	.	PUNCT
cana-3484	298	32	proc	proc	PROPN
cana-3484	298	33	.	.	PUNCT
cana-3484	299	1	2834	2834	NUM
cana-3484	299	2	,	,	PUNCT
cana-3484	299	3	080110	080110	NUM
cana-3484	299	4	(	(	PUNCT
cana-3484	299	5	2023	2023	NUM
cana-3484	299	6	)	)	PUNCT
cana-3484	299	7	.	.	PUNCT
cana-3484	300	1	[	[	X
cana-3484	300	2	30	30	NUM
cana-3484	300	3	]	]	X
cana-3484	300	4	zimmermann	zimmermann	PROPN
cana-3484	300	5	,	,	PUNCT
cana-3484	300	6	h.j	h.j	PROPN
cana-3484	300	7	.	.	PROPN
cana-3484	300	8	,	,	PUNCT
cana-3484	300	9	fuzzy	fuzzy	ADJ
cana-3484	300	10	programming	programming	NOUN
cana-3484	300	11	and	and	CCONJ
cana-3484	300	12	linear	linear	PROPN
cana-3484	300	13	programming	programming	NOUN
cana-3484	300	14	with	with	ADP
cana-3484	300	15	several	several	ADJ
cana-3484	300	16	objective	objective	ADJ
cana-3484	300	17	functions	function	NOUN
cana-3484	300	18	,	,	PUNCT
cana-3484	300	19	fuzzy	fuzzy	ADJ
cana-3484	300	20	sets	set	NOUN
cana-3484	300	21	and	and	CCONJ
cana-3484	300	22	systems	system	NOUN
cana-3484	300	23	,	,	PUNCT
cana-3484	300	24	1	1	NUM
cana-3484	300	25	(	(	PUNCT
cana-3484	300	26	1978	1978	NUM
cana-3484	300	27	)	)	PUNCT
cana-3484	300	28	,	,	PUNCT
cana-3484	300	29	45	45	NUM
cana-3484	300	30	-	-	SYM
cana-3484	300	31	55	55	NUM
cana-3484	300	32	.	.	PUNCT
cana-3484	301	1	javascript	javascript	NOUN
cana-3484	301	2	:	:	PUNCT
cana-3484	301	3	void(0	void(0	NOUN
cana-3484	301	4	)	)	PUNCT
cana-3484	301	5	javascript	javascript	NOUN
cana-3484	301	6	:	:	PUNCT
cana-3484	301	7	void(0	void(0	NOUN
cana-3484	301	8	)	)	PUNCT
cana-3484	301	9	javascript	javascript	NOUN
cana-3484	301	10	:	:	PUNCT
cana-3484	301	11	;	;	PUNCT
cana-3484	301	12	javascript	javascript	NOUN
cana-3484	301	13	:	:	PUNCT
cana-3484	301	14	;	;	PUNCT
cana-3484	301	15	javascript	javascript	NOUN
cana-3484	301	16	:	:	PUNCT
cana-3484	301	17	;	;	PUNCT