id	sid	tid	token	lemma	pos
iajs-3596	1	1	417	417	NUM
iajs-3596	1	2	©	©	PROPN
iajs-3596	1	3	2025	2025	NUM
iajs-3596	1	4	the	the	DET
iajs-3596	1	5	author(s	author(s	NOUN
iajs-3596	1	6	)	)	PUNCT
iajs-3596	1	7	.	.	PUNCT
iajs-3596	2	1	published	publish	VERB
iajs-3596	2	2	by	by	ADP
iajs-3596	2	3	college	college	NOUN
iajs-3596	2	4	of	of	ADP
iajs-3596	2	5	education	education	NOUN
iajs-3596	2	6	for	for	ADP
iajs-3596	2	7	pure	pure	ADJ
iajs-3596	2	8	science	science	NOUN
iajs-3596	2	9	(	(	PUNCT
iajs-3596	2	10	ibn	ibn	PROPN
iajs-3596	2	11	al	al	PROPN
iajs-3596	2	12	-	-	PUNCT
iajs-3596	2	13	haitham	haitham	PROPN
iajs-3596	2	14	)	)	PUNCT
iajs-3596	2	15	,	,	PUNCT
iajs-3596	2	16	university	university	NOUN
iajs-3596	2	17	of	of	ADP
iajs-3596	2	18	baghdad	baghdad	PROPN
iajs-3596	2	19	.	.	PUNCT
iajs-3596	3	1	this	this	PRON
iajs-3596	3	2	is	be	AUX
iajs-3596	3	3	an	an	DET
iajs-3596	3	4	open	open	ADJ
iajs-3596	3	5	-	-	PUNCT
iajs-3596	3	6	access	access	NOUN
iajs-3596	3	7	article	article	NOUN
iajs-3596	3	8	distributed	distribute	VERB
iajs-3596	3	9	under	under	ADP
iajs-3596	3	10	the	the	DET
iajs-3596	3	11	terms	term	NOUN
iajs-3596	3	12	of	of	ADP
iajs-3596	3	13	the	the	DET
iajs-3596	3	14	creative	creative	ADJ
iajs-3596	3	15	commons	common	NOUN
iajs-3596	3	16	attribution	attribution	NOUN
iajs-3596	3	17	4.0	4.0	NUM
iajs-3596	3	18	international	international	ADJ
iajs-3596	3	19	license	license	NOUN
iajs-3596	3	20	generalized	generalize	VERB
iajs-3596	3	21	heptagonal	heptagonal	ADJ
iajs-3596	3	22	membership	membership	NOUN
iajs-3596	3	23	function	function	NOUN
iajs-3596	3	24	for	for	ADP
iajs-3596	3	25	fully	fully	ADV
iajs-3596	3	26	fuzzy	fuzzy	ADJ
iajs-3596	3	27	linear	linear	ADJ
iajs-3596	3	28	fractional	fractional	ADJ
iajs-3596	3	29	programming	programming	NOUN
iajs-3596	3	30	problems	problem	NOUN
iajs-3596	3	31	israa	israa	ADJ
iajs-3596	3	32	h.	h.	PROPN
iajs-3596	3	33	hasan1	hasan1	PROPN
iajs-3596	3	34	*	*	PUNCT
iajs-3596	3	35	and	and	CCONJ
iajs-3596	3	36	iden	iden	PROPN
iajs-3596	3	37	h.	h.	PROPN
iajs-3596	3	38	al	al	PROPN
iajs-3596	3	39	kanani2	kanani2	PROPN
iajs-3596	4	1	1department	1department	NUM
iajs-3596	4	2	of	of	ADP
iajs-3596	4	3	communication	communication	NOUN
iajs-3596	4	4	engineering	engineering	NOUN
iajs-3596	4	5	,	,	PUNCT
iajs-3596	4	6	university	university	NOUN
iajs-3596	4	7	of	of	ADP
iajs-3596	4	8	technology	technology	NOUN
iajs-3596	4	9	-	-	PUNCT
iajs-3596	4	10	iraq	iraq	PROPN
iajs-3596	4	11	.	.	PUNCT
iajs-3596	5	1	2department	2department	NUM
iajs-3596	5	2	of	of	ADP
iajs-3596	5	3	mathematics	mathematic	NOUN
iajs-3596	5	4	,	,	PUNCT
iajs-3596	5	5	college	college	NOUN
iajs-3596	5	6	of	of	ADP
iajs-3596	5	7	science	science	NOUN
iajs-3596	5	8	for	for	ADP
iajs-3596	5	9	women	woman	NOUN
iajs-3596	5	10	university	university	PROPN
iajs-3596	5	11	of	of	ADP
iajs-3596	5	12	baghdad	baghdad	PROPN
iajs-3596	5	13	,	,	PUNCT
iajs-3596	5	14	baghdad	baghdad	PROPN
iajs-3596	5	15	,	,	PUNCT
iajs-3596	5	16	iraq	iraq	PROPN
iajs-3596	5	17	.	.	PUNCT
iajs-3596	6	1	*	*	PUNCT
iajs-3596	6	2	corresponding	correspond	VERB
iajs-3596	6	3	author	author	NOUN
iajs-3596	6	4	.	.	PUNCT
iajs-3596	7	1	received	receive	VERB
iajs-3596	7	2	:	:	PUNCT
iajs-3596	7	3	12	12	NUM
iajs-3596	7	4	june	june	PROPN
iajs-3596	7	5	2023	2023	NUM
iajs-3596	7	6	accepted	accept	VERB
iajs-3596	7	7	:	:	PUNCT
iajs-3596	7	8	27	27	NUM
iajs-3596	7	9	august	august	PROPN
iajs-3596	7	10	2023	2023	NUM
iajs-3596	7	11	published	publish	VERB
iajs-3596	7	12	:	:	PUNCT
iajs-3596	7	13	20	20	NUM
iajs-3596	7	14	january	january	NOUN
iajs-3596	7	15	2025	2025	NUM
iajs-3596	7	16	doi.org/10.30526/38.1.3596	doi.org/10.30526/38.1.3596	NOUN
iajs-3596	7	17	abstract	abstract	NOUN
iajs-3596	7	18	identifying	identify	VERB
iajs-3596	7	19	the	the	DET
iajs-3596	7	20	optimum	optimum	ADJ
iajs-3596	7	21	solution	solution	NOUN
iajs-3596	7	22	that	that	PRON
iajs-3596	7	23	satisfies	satisfy	VERB
iajs-3596	7	24	the	the	DET
iajs-3596	7	25	restrictions	restriction	NOUN
iajs-3596	7	26	and	and	CCONJ
iajs-3596	7	27	maximizes	maximize	NOUN
iajs-3596	7	28	or	or	CCONJ
iajs-3596	7	29	minimizes	minimize	VERB
iajs-3596	7	30	the	the	DET
iajs-3596	7	31	objective	objective	ADJ
iajs-3596	7	32	function	function	NOUN
iajs-3596	7	33	is	be	AUX
iajs-3596	7	34	the	the	DET
iajs-3596	7	35	aim	aim	NOUN
iajs-3596	7	36	of	of	ADP
iajs-3596	7	37	fully	fully	ADV
iajs-3596	7	38	fuzzy	fuzzy	ADJ
iajs-3596	7	39	fractional	fractional	ADJ
iajs-3596	7	40	programming	programming	NOUN
iajs-3596	7	41	(	(	PUNCT
iajs-3596	7	42	ffflp	ffflp	PROPN
iajs-3596	7	43	)	)	PUNCT
iajs-3596	7	44	.	.	PUNCT
iajs-3596	8	1	due	due	ADP
iajs-3596	8	2	to	to	ADP
iajs-3596	8	3	the	the	DET
iajs-3596	8	4	inclusion	inclusion	NOUN
iajs-3596	8	5	of	of	ADP
iajs-3596	8	6	both	both	DET
iajs-3596	8	7	fuzzy	fuzzy	ADJ
iajs-3596	8	8	parameters	parameter	NOUN
iajs-3596	8	9	and	and	CCONJ
iajs-3596	8	10	fractional	fractional	ADJ
iajs-3596	8	11	variables	variable	NOUN
iajs-3596	8	12	,	,	PUNCT
iajs-3596	8	13	this	this	DET
iajs-3596	8	14	problem	problem	NOUN
iajs-3596	8	15	is	be	AUX
iajs-3596	8	16	difficult	difficult	ADJ
iajs-3596	8	17	to	to	PART
iajs-3596	8	18	solve	solve	VERB
iajs-3596	8	19	.	.	PUNCT
iajs-3596	9	1	several	several	ADJ
iajs-3596	9	2	approaches	approach	NOUN
iajs-3596	9	3	,	,	PUNCT
iajs-3596	9	4	including	include	VERB
iajs-3596	9	5	linear	linear	PROPN
iajs-3596	9	6	programming	programming	NOUN
iajs-3596	9	7	,	,	PUNCT
iajs-3596	9	8	nonlinear	nonlinear	ADJ
iajs-3596	9	9	programming	programming	NOUN
iajs-3596	9	10	,	,	PUNCT
iajs-3596	9	11	genetic	genetic	ADJ
iajs-3596	9	12	algorithms	algorithm	NOUN
iajs-3596	9	13	,	,	PUNCT
iajs-3596	9	14	and	and	CCONJ
iajs-3596	9	15	computational	computational	ADJ
iajs-3596	9	16	intelligence	intelligence	NOUN
iajs-3596	9	17	algorithms	algorithm	NOUN
iajs-3596	9	18	,	,	PUNCT
iajs-3596	9	19	suggested	suggest	VERB
iajs-3596	9	20	handling	handle	VERB
iajs-3596	9	21	ffflp	ffflp	PROPN
iajs-3596	9	22	.	.	PUNCT
iajs-3596	10	1	for	for	ADP
iajs-3596	10	2	describing	describe	VERB
iajs-3596	10	3	the	the	DET
iajs-3596	10	4	uncertainty	uncertainty	NOUN
iajs-3596	10	5	,	,	PUNCT
iajs-3596	10	6	vagueness	vagueness	NOUN
iajs-3596	10	7	,	,	PUNCT
iajs-3596	10	8	or	or	CCONJ
iajs-3596	10	9	imprecision	imprecision	NOUN
iajs-3596	10	10	of	of	ADP
iajs-3596	10	11	information	information	NOUN
iajs-3596	10	12	in	in	ADP
iajs-3596	10	13	the	the	DET
iajs-3596	10	14	real	real	ADJ
iajs-3596	10	15	world	world	NOUN
iajs-3596	10	16	,	,	PUNCT
iajs-3596	10	17	triangular	triangular	NOUN
iajs-3596	10	18	and	and	CCONJ
iajs-3596	10	19	trapezoidal	trapezoidal	ADJ
iajs-3596	10	20	fuzzy	fuzzy	ADJ
iajs-3596	10	21	numbers	number	NOUN
iajs-3596	10	22	are	be	AUX
iajs-3596	10	23	frequently	frequently	ADV
iajs-3596	10	24	used	use	VERB
iajs-3596	10	25	.	.	PUNCT
iajs-3596	11	1	indeed	indeed	ADV
iajs-3596	11	2	,	,	PUNCT
iajs-3596	11	3	it	it	PRON
iajs-3596	11	4	is	be	AUX
iajs-3596	11	5	not	not	PART
iajs-3596	11	6	always	always	ADV
iajs-3596	11	7	practical	practical	ADJ
iajs-3596	11	8	to	to	PART
iajs-3596	11	9	limit	limit	VERB
iajs-3596	11	10	the	the	DET
iajs-3596	11	11	membership	membership	NOUN
iajs-3596	11	12	function	function	NOUN
iajs-3596	11	13	to	to	ADP
iajs-3596	11	14	a	a	DET
iajs-3596	11	15	triangle	triangle	NOUN
iajs-3596	11	16	or	or	CCONJ
iajs-3596	11	17	trapezoid	trapezoid	NOUN
iajs-3596	11	18	.	.	PUNCT
iajs-3596	12	1	this	this	DET
iajs-3596	12	2	paper	paper	NOUN
iajs-3596	12	3	submits	submit	VERB
iajs-3596	12	4	a	a	DET
iajs-3596	12	5	new	new	ADJ
iajs-3596	12	6	type	type	NOUN
iajs-3596	12	7	of	of	ADP
iajs-3596	12	8	heptagonal	heptagonal	ADJ
iajs-3596	12	9	fuzzy	fuzzy	ADJ
iajs-3596	12	10	number	number	NOUN
iajs-3596	12	11	and	and	CCONJ
iajs-3596	12	12	a	a	DET
iajs-3596	12	13	novel	novel	NOUN
iajs-3596	12	14	ranking	ranking	NOUN
iajs-3596	12	15	function	function	NOUN
iajs-3596	12	16	technique	technique	NOUN
iajs-3596	12	17	based	base	VERB
iajs-3596	12	18	on	on	ADP
iajs-3596	12	19	generalized	generalized	ADJ
iajs-3596	12	20	heptagonal	heptagonal	ADJ
iajs-3596	12	21	membership	membership	NOUN
iajs-3596	12	22	functions	function	NOUN
iajs-3596	12	23	suggested	suggest	VERB
iajs-3596	12	24	for	for	ADP
iajs-3596	12	25	ordering	order	VERB
iajs-3596	12	26	heptagonal	heptagonal	ADJ
iajs-3596	12	27	fuzzy	fuzzy	ADJ
iajs-3596	12	28	numbers	number	NOUN
iajs-3596	12	29	.	.	PUNCT
iajs-3596	13	1	with	with	ADP
iajs-3596	13	2	the	the	DET
iajs-3596	13	3	help	help	NOUN
iajs-3596	13	4	of	of	ADP
iajs-3596	13	5	the	the	DET
iajs-3596	13	6	algorithm	algorithm	NOUN
iajs-3596	13	7	of	of	ADP
iajs-3596	13	8	the	the	DET
iajs-3596	13	9	simplex	simplex	NOUN
iajs-3596	13	10	method	method	NOUN
iajs-3596	13	11	for	for	ADP
iajs-3596	13	12	fully	fully	ADV
iajs-3596	13	13	fuzzy	fuzzy	ADJ
iajs-3596	13	14	simplex	simplex	NOUN
iajs-3596	13	15	method	method	NOUN
iajs-3596	13	16	,	,	PUNCT
iajs-3596	13	17	obtained	obtain	VERB
iajs-3596	13	18	the	the	DET
iajs-3596	13	19	optimal	optimal	ADJ
iajs-3596	13	20	fuzzy	fuzzy	ADJ
iajs-3596	13	21	solution	solution	NOUN
iajs-3596	13	22	for	for	ADP
iajs-3596	13	23	ffflp	ffflp	NOUN
iajs-3596	13	24	.	.	PUNCT
iajs-3596	14	1	keywords	keyword	NOUN
iajs-3596	14	2	:	:	PUNCT
iajs-3596	14	3	fully	fully	ADV
iajs-3596	14	4	fuzzy	fuzzy	ADJ
iajs-3596	14	5	linear	linear	ADJ
iajs-3596	14	6	fractional	fractional	ADJ
iajs-3596	14	7	programming	programming	NOUN
iajs-3596	14	8	,	,	PUNCT
iajs-3596	14	9	heptagonal	heptagonal	ADJ
iajs-3596	14	10	fuzzy	fuzzy	ADJ
iajs-3596	14	11	number	number	NOUN
iajs-3596	14	12	,	,	PUNCT
iajs-3596	14	13	arithmetic	arithmetic	ADJ
iajs-3596	14	14	heptagonal	heptagonal	ADJ
iajs-3596	14	15	operations	operation	NOUN
iajs-3596	14	16	,	,	PUNCT
iajs-3596	14	17	membership	membership	NOUN
iajs-3596	14	18	function	function	NOUN
iajs-3596	14	19	,	,	PUNCT
iajs-3596	14	20	ranking	ranking	NOUN
iajs-3596	14	21	function	function	NOUN
iajs-3596	14	22	,	,	PUNCT
iajs-3596	14	23	fully	fully	ADV
iajs-3596	14	24	fuzzy	fuzzy	ADJ
iajs-3596	14	25	simplex	simplex	NOUN
iajs-3596	14	26	method	method	NOUN
iajs-3596	14	27	.	.	PUNCT
iajs-3596	15	1	1	1	X
iajs-3596	15	2	.	.	X
iajs-3596	15	3	introduction	introduction	NOUN
iajs-3596	15	4	fuzzy	fuzzy	ADJ
iajs-3596	15	5	problem	problem	NOUN
iajs-3596	15	6	solving	solving	NOUN
iajs-3596	15	7	relies	rely	VERB
iajs-3596	15	8	heavily	heavily	ADV
iajs-3596	15	9	on	on	ADP
iajs-3596	15	10	the	the	DET
iajs-3596	15	11	ranking	rank	VERB
iajs-3596	15	12	function	function	NOUN
iajs-3596	15	13	,	,	PUNCT
iajs-3596	15	14	which	which	PRON
iajs-3596	15	15	provides	provide	VERB
iajs-3596	15	16	a	a	DET
iajs-3596	15	17	methodical	methodical	ADJ
iajs-3596	15	18	way	way	NOUN
iajs-3596	15	19	to	to	PART
iajs-3596	15	20	evaluate	evaluate	VERB
iajs-3596	15	21	solutions	solution	NOUN
iajs-3596	15	22	when	when	SCONJ
iajs-3596	15	23	choosing	choose	VERB
iajs-3596	15	24	an	an	DET
iajs-3596	15	25	option	option	NOUN
iajs-3596	15	26	.	.	PUNCT
iajs-3596	16	1	the	the	DET
iajs-3596	16	2	fractional	fractional	ADJ
iajs-3596	16	3	programming	programming	NOUN
iajs-3596	16	4	problem	problem	NOUN
iajs-3596	16	5	is	be	AUX
iajs-3596	16	6	a	a	DET
iajs-3596	16	7	decision	decision	NOUN
iajs-3596	16	8	-	-	PUNCT
iajs-3596	16	9	making	make	VERB
iajs-3596	16	10	challenge	challenge	NOUN
iajs-3596	16	11	involving	involve	VERB
iajs-3596	16	12	the	the	DET
iajs-3596	16	13	optimization	optimization	NOUN
iajs-3596	16	14	of	of	ADP
iajs-3596	16	15	a	a	DET
iajs-3596	16	16	constrained	constrain	VERB
iajs-3596	16	17	ratio	ratio	NOUN
iajs-3596	16	18	of	of	ADP
iajs-3596	16	19	fuzzy	fuzzy	ADJ
iajs-3596	16	20	programming	programming	NOUN
iajs-3596	16	21	problem	problem	NOUN
iajs-3596	16	22	modern	modern	ADJ
iajs-3596	16	23	applications	application	NOUN
iajs-3596	16	24	of	of	ADP
iajs-3596	16	25	the	the	DET
iajs-3596	16	26	linear	linear	ADJ
iajs-3596	16	27	fractional	fractional	ADJ
iajs-3596	16	28	programming	programming	NOUN
iajs-3596	16	29	problem	problem	NOUN
iajs-3596	16	30	found	find	VERB
iajs-3596	16	31	in	in	ADP
iajs-3596	16	32	a	a	DET
iajs-3596	16	33	wide	wide	ADJ
iajs-3596	16	34	range	range	NOUN
iajs-3596	16	35	of	of	ADP
iajs-3596	16	36	fields	field	NOUN
iajs-3596	16	37	,	,	PUNCT
iajs-3596	16	38	including	include	VERB
iajs-3596	16	39	production	production	NOUN
iajs-3596	16	40	planning	planning	NOUN
iajs-3596	16	41	,	,	PUNCT
iajs-3596	16	42	finance	finance	NOUN
iajs-3596	16	43	,	,	PUNCT
iajs-3596	16	44	healthcare	healthcare	PROPN
iajs-3596	16	45	,	,	PUNCT
iajs-3596	16	46	and	and	CCONJ
iajs-3596	16	47	other	other	ADJ
iajs-3596	16	48	areas	area	NOUN
iajs-3596	16	49	of	of	ADP
iajs-3596	16	50	engineering	engineering	NOUN
iajs-3596	16	51	.	.	PUNCT
iajs-3596	17	1	many	many	ADJ
iajs-3596	17	2	papers	paper	NOUN
iajs-3596	17	3	use	use	VERB
iajs-3596	17	4	the	the	DET
iajs-3596	17	5	features	feature	NOUN
iajs-3596	17	6	of	of	ADP
iajs-3596	17	7	fuzzy	fuzzy	ADJ
iajs-3596	17	8	sets	set	NOUN
iajs-3596	17	9	as	as	ADP
iajs-3596	17	10	a	a	DET
iajs-3596	17	11	method	method	NOUN
iajs-3596	17	12	to	to	PART
iajs-3596	17	13	find	find	VERB
iajs-3596	17	14	the	the	DET
iajs-3596	17	15	best	good	ADJ
iajs-3596	17	16	solutions	solution	NOUN
iajs-3596	17	17	to	to	ADP
iajs-3596	17	18	fuzzy	fuzzy	ADJ
iajs-3596	17	19	programming	programming	NOUN
iajs-3596	17	20	problems	problem	NOUN
iajs-3596	17	21	in	in	ADP
iajs-3596	17	22	which	which	PRON
iajs-3596	17	23	all	all	DET
iajs-3596	17	24	variables	variable	NOUN
iajs-3596	17	25	are	be	AUX
iajs-3596	17	26	triangular	triangular	NOUN
iajs-3596	17	27	or	or	CCONJ
iajs-3596	17	28	trapezoidal	trapezoidal	ADJ
iajs-3596	17	29	numbers	number	NOUN
iajs-3596	17	30	(	(	PUNCT
iajs-3596	17	31	1,2	1,2	NUM
iajs-3596	17	32	)	)	PUNCT
iajs-3596	17	33	.	.	PUNCT
iajs-3596	18	1	if	if	SCONJ
iajs-3596	18	2	a	a	DET
iajs-3596	18	3	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-3596	18	4	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-3596	18	5	https://doi.org/10.30526/38.1.3501	https://doi.org/10.30526/38.1.3501	NOUN
iajs-3596	18	6	https://orcid.org/0000-0001-9289-0909	https://orcid.org/0000-0001-9289-0909	PROPN
iajs-3596	18	7	mailto:israa.h.hasn@uotechnology.edu.iq	mailto:israa.h.hasn@uotechnology.edu.iq	PROPN
iajs-3596	18	8	https://orcid.org/0000-0002-6492-8196	https://orcid.org/0000-0002-6492-8196	ADJ
iajs-3596	18	9	mailto:idanha_math@csw.uobaghdad.edu.iq	mailto:idanha_math@csw.uobaghdad.edu.iq	ADJ
iajs-3596	18	10	ihjpas	ihjpa	NOUN
iajs-3596	18	11	.	.	PUNCT
iajs-3596	19	1	2025	2025	NUM
iajs-3596	19	2	,	,	PUNCT
iajs-3596	19	3	38	38	NUM
iajs-3596	19	4	(	(	PUNCT
iajs-3596	19	5	1	1	NUM
iajs-3596	19	6	)	)	PUNCT
iajs-3596	19	7	418	418	NUM
iajs-3596	19	8	fuzzy	fuzzy	ADJ
iajs-3596	19	9	number	number	NOUN
iajs-3596	19	10	has	have	VERB
iajs-3596	19	11	seven	seven	NUM
iajs-3596	19	12	possible	possible	ADJ
iajs-3596	19	13	membership	membership	NOUN
iajs-3596	19	14	values	value	NOUN
iajs-3596	19	15	;	;	PUNCT
iajs-3596	19	16	we	we	PRON
iajs-3596	19	17	say	say	VERB
iajs-3596	19	18	that	that	SCONJ
iajs-3596	19	19	it	it	PRON
iajs-3596	19	20	is	be	AUX
iajs-3596	19	21	heptagonal	heptagonal	ADJ
iajs-3596	19	22	.	.	PUNCT
iajs-3596	20	1	the	the	DET
iajs-3596	20	2	range	range	NOUN
iajs-3596	20	3	of	of	ADP
iajs-3596	20	4	the	the	DET
iajs-3596	20	5	heptagonal	heptagonal	ADJ
iajs-3596	20	6	fuzzy	fuzzy	ADJ
iajs-3596	20	7	number	number	NOUN
iajs-3596	20	8	defined	define	VERB
iajs-3596	20	9	by	by	ADP
iajs-3596	20	10	a	a	DET
iajs-3596	20	11	membership	membership	NOUN
iajs-3596	20	12	function	function	NOUN
iajs-3596	20	13	that	that	PRON
iajs-3596	20	14	gives	give	VERB
iajs-3596	20	15	each	each	DET
iajs-3596	20	16	value	value	NOUN
iajs-3596	20	17	in	in	ADP
iajs-3596	20	18	the	the	DET
iajs-3596	20	19	range	range	NOUN
iajs-3596	20	20	a	a	DET
iajs-3596	20	21	certain	certain	ADJ
iajs-3596	20	22	level	level	NOUN
iajs-3596	20	23	of	of	ADP
iajs-3596	20	24	membership	membership	NOUN
iajs-3596	20	25	.	.	PUNCT
iajs-3596	21	1	the	the	DET
iajs-3596	21	2	membership	membership	NOUN
iajs-3596	21	3	function	function	VERB
iajs-3596	21	4	for	for	ADP
iajs-3596	21	5	a	a	DET
iajs-3596	21	6	heptagonal	heptagonal	ADJ
iajs-3596	21	7	fuzzy	fuzzy	ADJ
iajs-3596	21	8	number	number	NOUN
iajs-3596	21	9	takes	take	VERB
iajs-3596	21	10	the	the	DET
iajs-3596	21	11	shape	shape	NOUN
iajs-3596	21	12	of	of	ADP
iajs-3596	21	13	a	a	DET
iajs-3596	21	14	triangle	triangle	NOUN
iajs-3596	21	15	or	or	CCONJ
iajs-3596	21	16	trapezoid	trapezoid	NOUN
iajs-3596	21	17	.	.	PUNCT
iajs-3596	22	1	(	(	PUNCT
iajs-3596	22	2	3	3	NUM
iajs-3596	22	3	-	-	SYM
iajs-3596	22	4	5	5	NUM
iajs-3596	22	5	)	)	PUNCT
iajs-3596	22	6	discussed	discuss	VERB
iajs-3596	22	7	a	a	DET
iajs-3596	22	8	form	form	NOUN
iajs-3596	22	9	of	of	ADP
iajs-3596	22	10	fuzzy	fuzzy	ADJ
iajs-3596	22	11	number	number	NOUN
iajs-3596	22	12	named	name	VERB
iajs-3596	22	13	a	a	DET
iajs-3596	22	14	heptagonal	heptagonal	ADJ
iajs-3596	22	15	fuzzy	fuzzy	ADJ
iajs-3596	22	16	number	number	NOUN
iajs-3596	22	17	and	and	CCONJ
iajs-3596	22	18	proposed	propose	VERB
iajs-3596	22	19	a	a	DET
iajs-3596	22	20	new	new	ADJ
iajs-3596	22	21	version	version	NOUN
iajs-3596	22	22	of	of	ADP
iajs-3596	22	23	the	the	DET
iajs-3596	22	24	definition	definition	NOUN
iajs-3596	22	25	for	for	ADP
iajs-3596	22	26	the	the	DET
iajs-3596	22	27	value	value	NOUN
iajs-3596	22	28	and	and	CCONJ
iajs-3596	22	29	ambiguity	ambiguity	NOUN
iajs-3596	22	30	of	of	ADP
iajs-3596	22	31	nonnormal	nonnormal	ADJ
iajs-3596	22	32	fuzzy	fuzzy	NOUN
iajs-3596	22	33	.for	.for	ADP
iajs-3596	22	34	example	example	NOUN
iajs-3596	22	35	,	,	PUNCT
iajs-3596	22	36	namarta	namarta	NOUN
iajs-3596	22	37	and	and	CCONJ
iajs-3596	22	38	others	other	NOUN
iajs-3596	22	39	;	;	PUNCT
iajs-3596	22	40	proposed	propose	VERB
iajs-3596	22	41	a	a	DET
iajs-3596	22	42	ranking	ranking	NOUN
iajs-3596	22	43	method	method	NOUN
iajs-3596	22	44	for	for	ADP
iajs-3596	22	45	heptagon	heptagon	PROPN
iajs-3596	22	46	fuzzy	fuzzy	ADJ
iajs-3596	22	47	numbers	number	NOUN
iajs-3596	22	48	based	base	VERB
iajs-3596	22	49	on	on	ADP
iajs-3596	22	50	area	area	NOUN
iajs-3596	22	51	.	.	PUNCT
iajs-3596	23	1	the	the	DET
iajs-3596	23	2	study	study	NOUN
iajs-3596	23	3	involves	involve	VERB
iajs-3596	23	4	the	the	DET
iajs-3596	23	5	computation	computation	NOUN
iajs-3596	23	6	of	of	ADP
iajs-3596	23	7	the	the	DET
iajs-3596	23	8	center	center	NOUN
iajs-3596	23	9	of	of	ADP
iajs-3596	23	10	centroids	centroid	NOUN
iajs-3596	23	11	for	for	ADP
iajs-3596	23	12	ranking	rank	VERB
iajs-3596	23	13	heptagonal	heptagonal	ADJ
iajs-3596	23	14	fuzzy	fuzzy	ADJ
iajs-3596	23	15	numbers	number	NOUN
iajs-3596	23	16	.	.	PUNCT
iajs-3596	24	1	loganathan	loganathan	PROPN
iajs-3596	24	2	,	,	PUNCT
iajs-3596	24	3	t.	t.	PROPN
iajs-3596	24	4	,	,	PUNCT
iajs-3596	24	5	(	(	PUNCT
iajs-3596	24	6	6	6	NUM
iajs-3596	24	7	,	,	PUNCT
iajs-3596	24	8	7	7	NUM
iajs-3596	24	9	)	)	PUNCT
iajs-3596	24	10	proposed	propose	VERB
iajs-3596	24	11	a	a	DET
iajs-3596	24	12	method	method	NOUN
iajs-3596	24	13	for	for	ADP
iajs-3596	24	14	solving	solve	VERB
iajs-3596	24	15	ffflp	ffflp	NOUN
iajs-3596	24	16	and	and	CCONJ
iajs-3596	24	17	all	all	DET
iajs-3596	24	18	parameters	parameter	NOUN
iajs-3596	24	19	and	and	CCONJ
iajs-3596	24	20	variables	variable	NOUN
iajs-3596	24	21	are	be	AUX
iajs-3596	24	22	triangular	triangular	VERB
iajs-3596	24	23	fuzzy	fuzzy	ADJ
iajs-3596	24	24	numbers	number	NOUN
iajs-3596	24	25	that	that	PRON
iajs-3596	24	26	preserves	preserve	VERB
iajs-3596	24	27	the	the	DET
iajs-3596	24	28	fuzzy	fuzzy	ADJ
iajs-3596	24	29	nature	nature	NOUN
iajs-3596	24	30	of	of	ADP
iajs-3596	24	31	the	the	DET
iajs-3596	24	32	situation	situation	NOUN
iajs-3596	24	33	while	while	SCONJ
iajs-3596	24	34	maintaining	maintain	VERB
iajs-3596	24	35	their	their	PRON
iajs-3596	24	36	fuzzy	fuzzy	ADJ
iajs-3596	24	37	characteristics	characteristic	NOUN
iajs-3596	24	38	.	.	PUNCT
iajs-3596	25	1	using	use	VERB
iajs-3596	25	2	the	the	DET
iajs-3596	25	3	close	close	ADJ
iajs-3596	25	4	interval	interval	NOUN
iajs-3596	25	5	approximation	approximation	NOUN
iajs-3596	25	6	of	of	ADP
iajs-3596	25	7	normalized	normalize	VERB
iajs-3596	25	8	heptagonal	heptagonal	ADJ
iajs-3596	25	9	fuzzy	fuzzy	ADJ
iajs-3596	25	10	numbers	number	NOUN
iajs-3596	25	11	,	,	PUNCT
iajs-3596	25	12	which	which	PRON
iajs-3596	25	13	is	be	AUX
iajs-3596	25	14	one	one	NUM
iajs-3596	25	15	of	of	ADP
iajs-3596	25	16	the	the	DET
iajs-3596	25	17	best	good	ADJ
iajs-3596	25	18	interval	interval	NOUN
iajs-3596	25	19	approximations	approximation	NOUN
iajs-3596	25	20	,	,	PUNCT
iajs-3596	25	21	alharbi	alharbi	PROPN
iajs-3596	25	22	,	,	PUNCT
iajs-3596	25	23	m.g	m.g	PROPN
iajs-3596	25	24	.	.	PROPN
iajs-3596	25	25	;	;	PUNCT
iajs-3596	25	26	khalifa	khalifa	PROPN
iajs-3596	25	27	,	,	PUNCT
iajs-3596	25	28	h.a	h.a	PROPN
iajs-3596	25	29	.	.	PROPN
iajs-3596	25	30	(	(	PUNCT
iajs-3596	25	31	8)	8)	NUM
iajs-3596	25	32	attempted	attempt	VERB
iajs-3596	25	33	to	to	PART
iajs-3596	25	34	solve	solve	VERB
iajs-3596	25	35	the	the	DET
iajs-3596	25	36	linear	linear	ADJ
iajs-3596	25	37	fractional	fractional	ADJ
iajs-3596	25	38	programming	programming	NOUN
iajs-3596	25	39	problem	problem	NOUN
iajs-3596	25	40	with	with	ADP
iajs-3596	25	41	fully	fully	ADV
iajs-3596	25	42	fuzzy	fuzzy	ADJ
iajs-3596	25	43	normalized	normalize	VERB
iajs-3596	25	44	heptagonal	heptagonal	ADJ
iajs-3596	25	45	fuzzy	fuzzy	ADJ
iajs-3596	25	46	numbers	number	NOUN
iajs-3596	25	47	.	.	PUNCT
iajs-3596	26	1	they	they	PRON
iajs-3596	26	2	transformed	transform	VERB
iajs-3596	26	3	the	the	DET
iajs-3596	26	4	original	original	ADJ
iajs-3596	26	5	maximization	maximization	NOUN
iajs-3596	26	6	(	(	PUNCT
iajs-3596	26	7	minimization	minimization	NOUN
iajs-3596	26	8	)	)	PUNCT
iajs-3596	26	9	problem	problem	NOUN
iajs-3596	26	10	with	with	ADP
iajs-3596	26	11	an	an	DET
iajs-3596	26	12	interval	interval	NOUN
iajs-3596	26	13	objective	objective	ADJ
iajs-3596	26	14	function	function	NOUN
iajs-3596	26	15	into	into	ADP
iajs-3596	26	16	a	a	DET
iajs-3596	26	17	multi	multi	ADJ
iajs-3596	26	18	-	-	ADJ
iajs-3596	26	19	objective	objective	ADJ
iajs-3596	26	20	problem	problem	NOUN
iajs-3596	26	21	using	use	VERB
iajs-3596	26	22	order	order	NOUN
iajs-3596	26	23	relations	relation	NOUN
iajs-3596	26	24	.	.	PUNCT
iajs-3596	27	1	in	in	ADP
iajs-3596	27	2	order	order	NOUN
iajs-3596	27	3	to	to	PART
iajs-3596	27	4	rank	rank	VERB
iajs-3596	27	5	triangular	triangular	NOUN
iajs-3596	27	6	fuzzy	fuzzy	ADJ
iajs-3596	27	7	numbers	number	NOUN
iajs-3596	27	8	,	,	PUNCT
iajs-3596	27	9	mitlif	mitlif	ADJ
iajs-3596	27	10	,	,	PUNCT
iajs-3596	27	11	r.j	r.j	PROPN
iajs-3596	27	12	.	.	PROPN
iajs-3596	27	13	(	(	PUNCT
iajs-3596	27	14	9,10	9,10	NUM
iajs-3596	27	15	)	)	PUNCT
iajs-3596	27	16	used	use	VERB
iajs-3596	27	17	a	a	DET
iajs-3596	27	18	novel	novel	ADJ
iajs-3596	27	19	ranking	ranking	NOUN
iajs-3596	27	20	function	function	NOUN
iajs-3596	27	21	technique	technique	NOUN
iajs-3596	27	22	based	base	VERB
iajs-3596	27	23	on	on	ADP
iajs-3596	27	24	ordinary	ordinary	ADJ
iajs-3596	27	25	fuzzy	fuzzy	ADJ
iajs-3596	27	26	numbers	number	NOUN
iajs-3596	27	27	.	.	PUNCT
iajs-3596	28	1	the	the	DET
iajs-3596	28	2	optimal	optimal	ADJ
iajs-3596	28	3	solution	solution	NOUN
iajs-3596	28	4	found	find	VERB
iajs-3596	28	5	by	by	ADP
iajs-3596	28	6	first	first	ADV
iajs-3596	28	7	reducing	reduce	VERB
iajs-3596	28	8	the	the	DET
iajs-3596	28	9	fuzzy	fuzzy	ADJ
iajs-3596	28	10	fractional	fractional	ADJ
iajs-3596	28	11	programming	programming	NOUN
iajs-3596	28	12	problem	problem	NOUN
iajs-3596	28	13	to	to	ADP
iajs-3596	28	14	a	a	DET
iajs-3596	28	15	fractional	fractional	ADJ
iajs-3596	28	16	programming	programming	NOUN
iajs-3596	28	17	problem	problem	NOUN
iajs-3596	28	18	and	and	CCONJ
iajs-3596	28	19	then	then	ADV
iajs-3596	28	20	solving	solve	VERB
iajs-3596	28	21	it	it	PRON
iajs-3596	28	22	with	with	ADP
iajs-3596	28	23	the	the	DET
iajs-3596	28	24	method	method	NOUN
iajs-3596	28	25	.	.	PUNCT
iajs-3596	29	1	for	for	ADP
iajs-3596	29	2	solving	solve	VERB
iajs-3596	29	3	fflfp	fflfp	NOUN
iajs-3596	29	4	with	with	ADP
iajs-3596	29	5	trapezoidal	trapezoidal	ADJ
iajs-3596	29	6	fuzzy	fuzzy	ADJ
iajs-3596	29	7	integers	integer	NOUN
iajs-3596	29	8	as	as	ADP
iajs-3596	29	9	the	the	DET
iajs-3596	29	10	objective	objective	ADJ
iajs-3596	29	11	function	function	NOUN
iajs-3596	29	12	and	and	CCONJ
iajs-3596	29	13	constraints	constraint	NOUN
iajs-3596	29	14	,	,	PUNCT
iajs-3596	29	15	gupta	gupta	PROPN
iajs-3596	29	16	,	,	PUNCT
iajs-3596	29	17	d	d	NOUN
iajs-3596	29	18	;	;	PUNCT
iajs-3596	29	19	jain	jain	PROPN
iajs-3596	29	20	,	,	PUNCT
iajs-3596	29	21	p	p	X
iajs-3596	29	22	;	;	PUNCT
iajs-3596	29	23	gupta	gupta	PROPN
iajs-3596	29	24	,	,	PUNCT
iajs-3596	29	25	g.(11	g.(11	PROPN
iajs-3596	29	26	)	)	PUNCT
iajs-3596	29	27	presented	present	VERB
iajs-3596	29	28	a	a	DET
iajs-3596	29	29	new	new	ADJ
iajs-3596	29	30	trapezoidal	trapezoidal	ADJ
iajs-3596	29	31	fuzzy	fuzzy	ADJ
iajs-3596	29	32	number	number	NOUN
iajs-3596	29	33	ranking	rank	VERB
iajs-3596	29	34	function	function	NOUN
iajs-3596	29	35	,	,	PUNCT
iajs-3596	29	36	the	the	DET
iajs-3596	29	37	proposed	propose	VERB
iajs-3596	29	38	procedure	procedure	NOUN
iajs-3596	29	39	is	be	AUX
iajs-3596	29	40	based	base	VERB
iajs-3596	29	41	on	on	ADP
iajs-3596	29	42	the	the	DET
iajs-3596	29	43	simplex	simplex	NOUN
iajs-3596	29	44	method	method	NOUN
iajs-3596	29	45	and	and	CCONJ
iajs-3596	29	46	precise	precise	ADJ
iajs-3596	29	47	linear	linear	ADJ
iajs-3596	29	48	fractional	fractional	ADJ
iajs-3596	29	49	programming	programming	NOUN
iajs-3596	29	50	.	.	PUNCT
iajs-3596	30	1	triangular	triangular	NOUN
iajs-3596	30	2	and	and	CCONJ
iajs-3596	30	3	trapezoidal	trapezoidal	ADJ
iajs-3596	30	4	fuzzy	fuzzy	ADJ
iajs-3596	30	5	numbers	number	NOUN
iajs-3596	30	6	and	and	CCONJ
iajs-3596	30	7	the	the	DET
iajs-3596	30	8	values	value	NOUN
iajs-3596	30	9	of	of	ADP
iajs-3596	30	10	the	the	DET
iajs-3596	30	11	right	right	ADJ
iajs-3596	30	12	-	-	PUNCT
iajs-3596	30	13	hand	hand	NOUN
iajs-3596	30	14	side	side	NOUN
iajs-3596	30	15	represent	represent	VERB
iajs-3596	30	16	the	the	DET
iajs-3596	30	17	objective	objective	ADJ
iajs-3596	30	18	function	function	NOUN
iajs-3596	30	19	and	and	CCONJ
iajs-3596	30	20	crisp	crisp	ADJ
iajs-3596	30	21	numbers	number	NOUN
iajs-3596	30	22	represents	represent	VERB
iajs-3596	30	23	left	leave	VERB
iajs-3596	30	24	-	-	PUNCT
iajs-3596	30	25	hand	hand	NOUN
iajs-3596	30	26	side	side	NOUN
iajs-3596	30	27	constraints	constraint	NOUN
iajs-3596	30	28	.	.	PUNCT
iajs-3596	31	1	a	a	DET
iajs-3596	31	2	lots	lot	NOUN
iajs-3596	31	3	of	of	ADP
iajs-3596	31	4	researcher	researcher	NOUN
iajs-3596	31	5	(	(	PUNCT
iajs-3596	31	6	12	12	NUM
iajs-3596	31	7	-	-	SYM
iajs-3596	31	8	18	18	NUM
iajs-3596	31	9	)	)	PUNCT
iajs-3596	31	10	submitted	submit	VERB
iajs-3596	31	11	a	a	DET
iajs-3596	31	12	fuzzy	fuzzy	ADJ
iajs-3596	31	13	linear	linear	ADJ
iajs-3596	31	14	fractional	fractional	ADJ
iajs-3596	31	15	programming	programming	NOUN
iajs-3596	31	16	problem	problem	NOUN
iajs-3596	31	17	and	and	CCONJ
iajs-3596	31	18	a	a	DET
iajs-3596	31	19	new	new	ADJ
iajs-3596	31	20	ranking	ranking	NOUN
iajs-3596	31	21	function	function	NOUN
iajs-3596	31	22	devised	devise	VERB
iajs-3596	31	23	for	for	ADP
iajs-3596	31	24	converting	convert	VERB
iajs-3596	31	25	the	the	DET
iajs-3596	31	26	fuzzy	fuzzy	ADJ
iajs-3596	31	27	linear	linear	ADJ
iajs-3596	31	28	fractional	fractional	ADJ
iajs-3596	31	29	programming	programming	NOUN
iajs-3596	31	30	problem	problem	NOUN
iajs-3596	31	31	into	into	ADP
iajs-3596	31	32	an	an	DET
iajs-3596	31	33	unambiguous	unambiguous	ADJ
iajs-3596	31	34	one	one	NOUN
iajs-3596	31	35	.	.	PUNCT
iajs-3596	32	1	this	this	DET
iajs-3596	32	2	paper	paper	NOUN
iajs-3596	32	3	proposes	propose	VERB
iajs-3596	32	4	a	a	DET
iajs-3596	32	5	new	new	ADJ
iajs-3596	32	6	ranking	ranking	NOUN
iajs-3596	32	7	function	function	NOUN
iajs-3596	32	8	strategy	strategy	NOUN
iajs-3596	32	9	based	base	VERB
iajs-3596	32	10	on	on	ADP
iajs-3596	32	11	the	the	DET
iajs-3596	32	12	new	new	ADJ
iajs-3596	32	13	generalized	generalized	ADJ
iajs-3596	32	14	heptagonal	heptagonal	ADJ
iajs-3596	32	15	membership	membership	NOUN
iajs-3596	32	16	function	function	NOUN
iajs-3596	32	17	in	in	ADP
iajs-3596	32	18	order	order	NOUN
iajs-3596	32	19	to	to	PART
iajs-3596	32	20	solve	solve	VERB
iajs-3596	32	21	an	an	DET
iajs-3596	32	22	ffflp	ffflp	NOUN
iajs-3596	32	23	by	by	ADP
iajs-3596	32	24	first	first	ADV
iajs-3596	32	25	transforming	transform	VERB
iajs-3596	32	26	the	the	DET
iajs-3596	32	27	ffflp	ffflp	NOUN
iajs-3596	32	28	into	into	ADP
iajs-3596	32	29	a	a	DET
iajs-3596	32	30	completely	completely	ADV
iajs-3596	32	31	fuzzy	fuzzy	ADJ
iajs-3596	32	32	linear	linear	ADJ
iajs-3596	32	33	problem	problem	NOUN
iajs-3596	32	34	.	.	PUNCT
iajs-3596	33	1	finally	finally	ADV
iajs-3596	33	2	,	,	PUNCT
iajs-3596	33	3	the	the	DET
iajs-3596	33	4	optimal	optimal	ADJ
iajs-3596	33	5	fuzzy	fuzzy	ADJ
iajs-3596	33	6	solution	solution	NOUN
iajs-3596	33	7	can	can	AUX
iajs-3596	33	8	reached	reach	VERB
iajs-3596	33	9	by	by	ADP
iajs-3596	33	10	fully	fully	ADV
iajs-3596	33	11	fuzzy	fuzzy	ADJ
iajs-3596	33	12	simplex	simplex	NOUN
iajs-3596	33	13	method	method	NOUN
iajs-3596	33	14	in	in	ADP
iajs-3596	33	15	which	which	PRON
iajs-3596	33	16	all	all	DET
iajs-3596	33	17	the	the	DET
iajs-3596	33	18	input	input	NOUN
iajs-3596	33	19	variables	variable	NOUN
iajs-3596	33	20	are	be	AUX
iajs-3596	33	21	heptagonal	heptagonal	ADJ
iajs-3596	33	22	fuzzy	fuzzy	ADJ
iajs-3596	33	23	numbers	number	NOUN
iajs-3596	33	24	.	.	PUNCT
iajs-3596	34	1	this	this	DET
iajs-3596	34	2	paper	paper	NOUN
iajs-3596	34	3	constructed	construct	VERB
iajs-3596	34	4	into	into	ADP
iajs-3596	34	5	eight	eight	NUM
iajs-3596	34	6	sections	section	NOUN
iajs-3596	34	7	.	.	PUNCT
iajs-3596	35	1	in	in	ADP
iajs-3596	35	2	section	section	NOUN
iajs-3596	35	3	2	2	NUM
iajs-3596	35	4	,	,	PUNCT
iajs-3596	35	5	the	the	DET
iajs-3596	35	6	preliminary	preliminary	NOUN
iajs-3596	35	7	of	of	ADP
iajs-3596	35	8	the	the	DET
iajs-3596	35	9	fuzzy	fuzzy	ADJ
iajs-3596	35	10	set	set	NOUN
iajs-3596	35	11	theory	theory	NOUN
iajs-3596	35	12	.	.	PUNCT
iajs-3596	36	1	section	section	NOUN
iajs-3596	36	2	3	3	NUM
iajs-3596	36	3	proposes	propose	VERB
iajs-3596	36	4	a	a	DET
iajs-3596	36	5	generalized	generalized	ADJ
iajs-3596	36	6	heptagonal	heptagonal	ADJ
iajs-3596	36	7	fuzzy	fuzzy	ADJ
iajs-3596	36	8	function	function	NOUN
iajs-3596	36	9	,	,	PUNCT
iajs-3596	36	10	(	(	PUNCT
iajs-3596	36	11	𝜎-cut	𝜎-cut	ADJ
iajs-3596	36	12	)	)	PUNCT
iajs-3596	36	13	function	function	NOUN
iajs-3596	36	14	,	,	PUNCT
iajs-3596	36	15	and	and	CCONJ
iajs-3596	36	16	derived	derive	VERB
iajs-3596	36	17	the	the	DET
iajs-3596	36	18	proposed	propose	VERB
iajs-3596	36	19	ranking	ranking	NOUN
iajs-3596	36	20	function	function	NOUN
iajs-3596	36	21	.	.	PUNCT
iajs-3596	37	1	in	in	ADP
iajs-3596	37	2	section	section	NOUN
iajs-3596	37	3	4	4	NUM
iajs-3596	37	4	,	,	PUNCT
iajs-3596	37	5	the	the	DET
iajs-3596	37	6	fuzzy	fuzzy	ADJ
iajs-3596	37	7	mathematical	mathematical	ADJ
iajs-3596	37	8	operations	operation	NOUN
iajs-3596	37	9	of	of	ADP
iajs-3596	37	10	heptagonal	heptagonal	ADJ
iajs-3596	37	11	fuzzy	fuzzy	ADJ
iajs-3596	37	12	numbers	number	NOUN
iajs-3596	37	13	.	.	PUNCT
iajs-3596	38	1	section	section	NOUN
iajs-3596	38	2	5	5	NUM
iajs-3596	38	3	shows	show	VERB
iajs-3596	38	4	the	the	DET
iajs-3596	38	5	mathematical	mathematical	ADJ
iajs-3596	38	6	model	model	NOUN
iajs-3596	38	7	of	of	ADP
iajs-3596	38	8	ffflp	ffflp	PROPN
iajs-3596	38	9	.	.	PUNCT
iajs-3596	39	1	the	the	DET
iajs-3596	39	2	algorithm	algorithm	NOUN
iajs-3596	39	3	of	of	ADP
iajs-3596	39	4	the	the	DET
iajs-3596	39	5	fully	fully	ADV
iajs-3596	39	6	fuzzy	fuzzy	ADJ
iajs-3596	39	7	simplex	simplex	NOUN
iajs-3596	39	8	method	method	NOUN
iajs-3596	39	9	is	be	AUX
iajs-3596	39	10	in	in	ADP
iajs-3596	39	11	section	section	NOUN
iajs-3596	39	12	6	6	NUM
iajs-3596	39	13	;	;	PUNCT
iajs-3596	39	14	a	a	DET
iajs-3596	39	15	numerical	numerical	ADJ
iajs-3596	39	16	example	example	NOUN
iajs-3596	39	17	be	be	AUX
iajs-3596	39	18	given	give	VERB
iajs-3596	39	19	in	in	ADP
iajs-3596	39	20	section	section	NOUN
iajs-3596	39	21	7	7	NUM
iajs-3596	39	22	,	,	PUNCT
iajs-3596	39	23	and	and	CCONJ
iajs-3596	39	24	section	section	NOUN
iajs-3596	39	25	8	8	NUM
iajs-3596	39	26	concludes	conclude	VERB
iajs-3596	39	27	the	the	DET
iajs-3596	39	28	paper	paper	NOUN
iajs-3596	39	29	.	.	PUNCT
iajs-3596	40	1	ihjpas	ihjpas	PROPN
iajs-3596	40	2	.	.	PUNCT
iajs-3596	41	1	2025	2025	NUM
iajs-3596	41	2	,	,	PUNCT
iajs-3596	41	3	38	38	NUM
iajs-3596	41	4	(	(	PUNCT
iajs-3596	41	5	1	1	NUM
iajs-3596	41	6	)	)	PUNCT
iajs-3596	41	7	419	419	NUM
iajs-3596	41	8	2	2	NUM
iajs-3596	41	9	.	.	X
iajs-3596	41	10	preliminary	preliminary	ADJ
iajs-3596	41	11	.	.	PUNCT
iajs-3596	42	1	definition	definition	NOUN
iajs-3596	42	2	2.1	2.1	NUM
iajs-3596	42	3	:	:	PUNCT
iajs-3596	42	4	(	(	PUNCT
iajs-3596	42	5	19	19	NUM
iajs-3596	42	6	)	)	PUNCT
iajs-3596	42	7	let	let	VERB
iajs-3596	42	8	𝑋	𝑋	NOUN
iajs-3596	42	9	be	be	AUX
iajs-3596	42	10	a	a	DET
iajs-3596	42	11	real	real	ADJ
iajs-3596	42	12	set	set	NOUN
iajs-3596	42	13	.	.	PUNCT
iajs-3596	43	1	the	the	DET
iajs-3596	43	2	fuzzy	fuzzy	ADJ
iajs-3596	43	3	set	set	VERB
iajs-3596	43	4	�	�	PROPN
iajs-3596	43	5	̃	̃	PROPN
iajs-3596	43	6	�	�	PROPN
iajs-3596	43	7	is	be	AUX
iajs-3596	43	8	defined	define	VERB
iajs-3596	43	9	by	by	ADP
iajs-3596	43	10	the	the	DET
iajs-3596	43	11	membership	membership	NOUN
iajs-3596	43	12	function	function	PROPN
iajs-3596	43	13	ℳ	ℳ	PROPN
iajs-3596	43	14	�	�	PROPN
iajs-3596	43	15	̃	̃	PROPN
iajs-3596	43	16	�	�	PROPN
iajs-3596	43	17	(𝑥	(𝑥	NOUN
iajs-3596	43	18	)	)	PUNCT
iajs-3596	43	19	,	,	PUNCT
iajs-3596	43	20	ℳ	ℳ	PROPN
iajs-3596	43	21	�	�	PROPN
iajs-3596	43	22	̃	̃	PROPN
iajs-3596	43	23	�	�	NOUN
iajs-3596	43	24	(𝑥	(𝑥	NOUN
iajs-3596	43	25	):	):	PUNCT
iajs-3596	43	26	𝒳→	𝒳→	PROPN
iajs-3596	44	1	[	[	X
iajs-3596	44	2	0	0	NUM
iajs-3596	44	3	,	,	PUNCT
iajs-3596	44	4	1	1	NUM
iajs-3596	44	5	]	]	PUNCT
iajs-3596	44	6	,	,	PUNCT
iajs-3596	44	7	is	be	AUX
iajs-3596	44	8	the	the	DET
iajs-3596	44	9	degree	degree	NOUN
iajs-3596	44	10	of	of	ADP
iajs-3596	44	11	membership	membership	NOUN
iajs-3596	44	12	of	of	ADP
iajs-3596	44	13	𝑥	𝑥	DET
iajs-3596	44	14	∈	∈	PROPN
iajs-3596	44	15	𝒳	𝒳	PROPN
iajs-3596	44	16	in	in	ADP
iajs-3596	44	17	the	the	DET
iajs-3596	44	18	set	set	VERB
iajs-3596	44	19	�	�	PROPN
iajs-3596	44	20	̃	̃	PROPN
iajs-3596	44	21	�	�	PROPN
iajs-3596	44	22	and	and	CCONJ
iajs-3596	44	23	is	be	AUX
iajs-3596	44	24	denoted	denote	VERB
iajs-3596	44	25	by	by	ADP
iajs-3596	44	26	�	�	PROPN
iajs-3596	44	27	̃	̃	PROPN
iajs-3596	44	28	�	�	NOUN
iajs-3596	44	29	(𝑥	(𝑥	NOUN
iajs-3596	44	30	)	)	PUNCT
iajs-3596	44	31	=	=	SYM
iajs-3596	44	32	{	{	PUNCT
iajs-3596	44	33	(	(	PUNCT
iajs-3596	44	34	𝑥,ℳ	𝑥,ℳ	PROPN
iajs-3596	44	35	�	�	SYM
iajs-3596	44	36	̃	̃	PROPN
iajs-3596	44	37	�	�	PROPN
iajs-3596	44	38	(𝑥))|	(𝑥))|	PUNCT
iajs-3596	44	39	𝑥	𝑥	PROPN
iajs-3596	44	40	∈	∈	PROPN
iajs-3596	44	41	𝒳	𝒳	PROPN
iajs-3596	44	42	}	}	PUNCT
iajs-3596	44	43	.	.	PUNCT
iajs-3596	45	1	definition	definition	NOUN
iajs-3596	45	2	2.2	2.2	NUM
iajs-3596	45	3	:	:	PUNCT
iajs-3596	45	4	(	(	PUNCT
iajs-3596	45	5	19,20	19,20	NOUN
iajs-3596	45	6	)	)	PUNCT
iajs-3596	45	7	a	a	DET
iajs-3596	45	8	fuzzy	fuzzy	ADJ
iajs-3596	45	9	number	number	NOUN
iajs-3596	45	10	�	�	PROPN
iajs-3596	45	11	̃	̃	PROPN
iajs-3596	45	12	�	�	PROPN
iajs-3596	45	13	is	be	AUX
iajs-3596	45	14	a	a	DET
iajs-3596	45	15	set	set	NOUN
iajs-3596	45	16	whose	whose	DET
iajs-3596	45	17	membership	membership	NOUN
iajs-3596	45	18	function	function	NOUN
iajs-3596	45	19	ℳ	ℳ	PROPN
iajs-3596	45	20	�	�	PROPN
iajs-3596	45	21	̃	̃	PROPN
iajs-3596	45	22	�	�	NOUN
iajs-3596	45	23	(𝑥	(𝑥	NOUN
iajs-3596	45	24	)	)	PUNCT
iajs-3596	45	25	satisfies	satisfy	VERB
iajs-3596	45	26	the	the	DET
iajs-3596	45	27	following	follow	VERB
iajs-3596	45	28	conditions	condition	NOUN
iajs-3596	45	29	:	:	PUNCT
iajs-3596	45	30	•	•	NUM
iajs-3596	45	31	�	�	PROPN
iajs-3596	45	32	̃	̃	PROPN
iajs-3596	45	33	�	�	PROPN
iajs-3596	45	34	a	a	DET
iajs-3596	45	35	normal	normal	ADJ
iajs-3596	45	36	fuzzy	fuzzy	NOUN
iajs-3596	45	37	set	set	NOUN
iajs-3596	45	38	if	if	SCONJ
iajs-3596	45	39	there	there	PRON
iajs-3596	45	40	exists	exist	VERB
iajs-3596	45	41	at	at	ADP
iajs-3596	45	42	least	least	ADV
iajs-3596	45	43	one	one	NUM
iajs-3596	45	44	𝑥0	𝑥0	NOUN
iajs-3596	45	45	in	in	ADP
iajs-3596	45	46	ℛ	ℛ	PROPN
iajs-3596	45	47	with	with	ADP
iajs-3596	45	48	ℳ	ℳ	PROPN
iajs-3596	45	49	�	�	PROPN
iajs-3596	45	50	̃	̃	PROPN
iajs-3596	45	51	�	�	NOUN
iajs-3596	45	52	(𝑥	(𝑥	NOUN
iajs-3596	45	53	)	)	PUNCT
iajs-3596	45	54	=	=	SYM
iajs-3596	46	1	1	1	NUM
iajs-3596	46	2	.	.	NOUN
iajs-3596	46	3	•	•	NUM
iajs-3596	46	4	ℳ	ℳ	PROPN
iajs-3596	46	5	�	�	PROPN
iajs-3596	46	6	̃	̃	PROPN
iajs-3596	46	7	�	�	NOUN
iajs-3596	46	8	(𝑥	(𝑥	NOUN
iajs-3596	46	9	)	)	PUNCT
iajs-3596	46	10	piecewise	piecewise	NOUN
iajs-3596	46	11	continuous	continuous	ADJ
iajs-3596	46	12	.	.	PUNCT
iajs-3596	46	13	•	•	NUM
iajs-3596	46	14	�	�	PROPN
iajs-3596	46	15	̃	̃	PROPN
iajs-3596	46	16	�	�	NOUN
iajs-3596	46	17	(𝑥	(𝑥	NOUN
iajs-3596	46	18	)	)	PUNCT
iajs-3596	46	19	convex	convex	NOUN
iajs-3596	46	20	if	if	SCONJ
iajs-3596	46	21	ℳ	ℳ	PROPN
iajs-3596	46	22	�	�	PROPN
iajs-3596	46	23	̃	̃	PROPN
iajs-3596	46	24	�	�	NOUN
iajs-3596	46	25	(𝑥	(𝑥	NOUN
iajs-3596	46	26	)	)	PUNCT
iajs-3596	46	27	.	.	PUNCT
iajs-3596	47	1	[	[	X
iajs-3596	47	2	ℴ𝑥1	ℴ𝑥1	X
iajs-3596	47	3	+	+	CCONJ
iajs-3596	47	4	(	(	PUNCT
iajs-3596	47	5	1	1	NUM
iajs-3596	47	6	−	−	NUM
iajs-3596	47	7	ℴ	ℴ	NOUN
iajs-3596	47	8	)	)	PUNCT
iajs-3596	47	9	𝑥2	𝑥2	NOUN
iajs-3596	47	10	]	]	PUNCT
iajs-3596	47	11	≥	≥	X
iajs-3596	47	12	min	min	PROPN
iajs-3596	47	13	(	(	PUNCT
iajs-3596	47	14	ℳ	ℳ	PROPN
iajs-3596	47	15	�	�	PROPN
iajs-3596	47	16	̃	̃	PROPN
iajs-3596	47	17	�	�	NOUN
iajs-3596	47	18	(𝑥1	(𝑥1	PUNCT
iajs-3596	47	19	)	)	PUNCT
iajs-3596	47	20	,	,	PUNCT
iajs-3596	47	21	ℳ	ℳ	PROPN
iajs-3596	47	22	�	�	PROPN
iajs-3596	47	23	̃	̃	PROPN
iajs-3596	47	24	�	�	PROPN
iajs-3596	47	25	(	(	PUNCT
iajs-3596	47	26	𝑥2	𝑥2	NOUN
iajs-3596	47	27	)	)	PUNCT
iajs-3596	47	28	}	}	PUNCT
iajs-3596	47	29	,	,	PUNCT
iajs-3596	47	30	𝑥1	𝑥1	NOUN
iajs-3596	47	31	,	,	PUNCT
iajs-3596	47	32	𝑥2	𝑥2	NOUN
iajs-3596	47	33	∈	∈	PROPN
iajs-3596	47	34	𝑋	𝑋	PROPN
iajs-3596	47	35	,	,	PUNCT
iajs-3596	47	36	ℴ	ℴ	PROPN
iajs-3596	47	37	∈	∈	PROPN
iajs-3596	48	1	[	[	X
iajs-3596	48	2	0	0	NUM
iajs-3596	48	3	,	,	PUNCT
iajs-3596	48	4	1	1	NUM
iajs-3596	48	5	]	]	PUNCT
iajs-3596	48	6	.	.	PUNCT
iajs-3596	49	1	definition	definition	NOUN
iajs-3596	49	2	2.3	2.3	NUM
iajs-3596	49	3	:	:	PUNCT
iajs-3596	49	4	a	a	DET
iajs-3596	49	5	heptagonal	heptagonal	ADJ
iajs-3596	49	6	fuzzy	fuzzy	ADJ
iajs-3596	49	7	number	number	NOUN
iajs-3596	49	8	(	(	PUNCT
iajs-3596	49	9	hep	hep	NOUN
iajs-3596	49	10	)	)	PUNCT
iajs-3596	49	11	is	be	AUX
iajs-3596	49	12	a	a	DET
iajs-3596	49	13	fuzzy	fuzzy	ADJ
iajs-3596	49	14	number	number	NOUN
iajs-3596	49	15	that	that	PRON
iajs-3596	49	16	has	have	VERB
iajs-3596	49	17	seven	seven	NUM
iajs-3596	49	18	membership	membership	NOUN
iajs-3596	49	19	values	value	NOUN
iajs-3596	49	20	on	on	ADP
iajs-3596	49	21	the	the	DET
iajs-3596	49	22	interval	interval	NOUN
iajs-3596	49	23	[	[	X
iajs-3596	49	24	0	0	NUM
iajs-3596	49	25	,	,	PUNCT
iajs-3596	49	26	1	1	NUM
iajs-3596	49	27	]	]	PUNCT
iajs-3596	49	28	that	that	PRON
iajs-3596	49	29	determine	determine	VERB
iajs-3596	49	30	the	the	DET
iajs-3596	49	31	membership	membership	NOUN
iajs-3596	49	32	function	function	NOUN
iajs-3596	49	33	of	of	ADP
iajs-3596	49	34	a	a	DET
iajs-3596	49	35	heptagonal	heptagonal	ADJ
iajs-3596	49	36	fuzzy	fuzzy	ADJ
iajs-3596	49	37	number	number	NOUN
iajs-3596	49	38	.	.	PUNCT
iajs-3596	50	1	the	the	DET
iajs-3596	50	2	number	number	NOUN
iajs-3596	50	3	of	of	ADP
iajs-3596	50	4	these	these	DET
iajs-3596	50	5	dots	dot	NOUN
iajs-3596	50	6	stands	stand	VERB
iajs-3596	50	7	for	for	ADP
iajs-3596	50	8	how	how	SCONJ
iajs-3596	50	9	much	much	ADJ
iajs-3596	50	10	of	of	ADP
iajs-3596	50	11	a	a	DET
iajs-3596	50	12	certain	certain	ADJ
iajs-3596	50	13	element	element	NOUN
iajs-3596	50	14	belongs	belong	VERB
iajs-3596	50	15	to	to	ADP
iajs-3596	50	16	the	the	DET
iajs-3596	50	17	fuzzy	fuzzy	ADJ
iajs-3596	50	18	set	set	NOUN
iajs-3596	50	19	.	.	PUNCT
iajs-3596	51	1	the	the	DET
iajs-3596	51	2	range	range	NOUN
iajs-3596	51	3	of	of	ADP
iajs-3596	51	4	values	value	NOUN
iajs-3596	51	5	for	for	ADP
iajs-3596	51	6	which	which	PRON
iajs-3596	51	7	the	the	DET
iajs-3596	51	8	membership	membership	NOUN
iajs-3596	51	9	function	function	NOUN
iajs-3596	51	10	is	be	AUX
iajs-3596	51	11	non	non	ADJ
iajs-3596	51	12	-	-	ADJ
iajs-3596	51	13	zero	zero	NUM
iajs-3596	51	14	is	be	AUX
iajs-3596	51	15	called	call	VERB
iajs-3596	51	16	the	the	DET
iajs-3596	51	17	support	support	NOUN
iajs-3596	51	18	of	of	ADP
iajs-3596	51	19	a	a	DET
iajs-3596	51	20	heptagonal	heptagonal	ADJ
iajs-3596	51	21	fuzzy	fuzzy	ADJ
iajs-3596	51	22	number	number	NOUN
iajs-3596	51	23	.	.	PUNCT
iajs-3596	52	1	a	a	DET
iajs-3596	52	2	heptagonal	heptagonal	ADJ
iajs-3596	52	3	fuzzy	fuzzy	ADJ
iajs-3596	52	4	number	number	NOUN
iajs-3596	52	5	's	's	PART
iajs-3596	52	6	center	center	NOUN
iajs-3596	52	7	is	be	AUX
iajs-3596	52	8	the	the	DET
iajs-3596	52	9	set	set	NOUN
iajs-3596	52	10	of	of	ADP
iajs-3596	52	11	values	value	NOUN
iajs-3596	52	12	where	where	SCONJ
iajs-3596	52	13	the	the	DET
iajs-3596	52	14	membership	membership	NOUN
iajs-3596	52	15	function	function	NOUN
iajs-3596	52	16	is	be	AUX
iajs-3596	52	17	one	one	NUM
iajs-3596	52	18	.the	.the	PRON
iajs-3596	53	1	maximum	maximum	ADJ
iajs-3596	53	2	value	value	NOUN
iajs-3596	53	3	of	of	ADP
iajs-3596	53	4	the	the	DET
iajs-3596	53	5	membership	membership	NOUN
iajs-3596	53	6	function	function	NOUN
iajs-3596	53	7	defines	define	VERB
iajs-3596	53	8	the	the	DET
iajs-3596	53	9	height	height	NOUN
iajs-3596	53	10	of	of	ADP
iajs-3596	53	11	a	a	DET
iajs-3596	53	12	heptagonal	heptagonal	ADJ
iajs-3596	53	13	fuzzy	fuzzy	ADJ
iajs-3596	53	14	number	number	NOUN
iajs-3596	53	15	.	.	PUNCT
iajs-3596	54	1	the	the	DET
iajs-3596	54	2	centroid	centroid	NOUN
iajs-3596	54	3	of	of	ADP
iajs-3596	54	4	a	a	DET
iajs-3596	54	5	heptagonal	heptagonal	ADJ
iajs-3596	54	6	fuzzy	fuzzy	ADJ
iajs-3596	54	7	number	number	NOUN
iajs-3596	54	8	calculated	calculate	VERB
iajs-3596	54	9	by	by	ADP
iajs-3596	54	10	taking	take	VERB
iajs-3596	54	11	the	the	DET
iajs-3596	54	12	weighted	weighted	ADJ
iajs-3596	54	13	average	average	NOUN
iajs-3596	54	14	of	of	ADP
iajs-3596	54	15	its	its	PRON
iajs-3596	54	16	seven	seven	NUM
iajs-3596	54	17	membership	membership	NOUN
iajs-3596	54	18	values	value	NOUN
iajs-3596	54	19	,	,	PUNCT
iajs-3596	54	20	with	with	SCONJ
iajs-3596	54	21	each	each	DET
iajs-3596	54	22	value	value	NOUN
iajs-3596	54	23	assigned	assign	VERB
iajs-3596	54	24	a	a	DET
iajs-3596	54	25	weight	weight	NOUN
iajs-3596	54	26	based	base	VERB
iajs-3596	54	27	on	on	ADP
iajs-3596	54	28	the	the	DET
iajs-3596	54	29	degree	degree	NOUN
iajs-3596	54	30	to	to	PART
iajs-3596	54	31	which	which	PRON
iajs-3596	54	32	it	it	PRON
iajs-3596	54	33	belongs	belong	VERB
iajs-3596	54	34	to	to	ADP
iajs-3596	54	35	the	the	DET
iajs-3596	54	36	heptagon	heptagon	NOUN
iajs-3596	54	37	.	.	PUNCT
iajs-3596	55	1	3	3	NUM
iajs-3596	55	2	.propose	.propose	NUM
iajs-3596	55	3	generalized	generalized	ADJ
iajs-3596	55	4	heptagonal	heptagonal	ADJ
iajs-3596	55	5	membership	membership	NOUN
iajs-3596	55	6	function	function	NOUN
iajs-3596	55	7	.	.	PUNCT
iajs-3596	56	1	membership	membership	NOUN
iajs-3596	56	2	functions	function	NOUN
iajs-3596	56	3	play	play	VERB
iajs-3596	56	4	a	a	DET
iajs-3596	56	5	crucial	crucial	ADJ
iajs-3596	56	6	role	role	NOUN
iajs-3596	56	7	in	in	ADP
iajs-3596	56	8	finding	find	VERB
iajs-3596	56	9	solutions	solution	NOUN
iajs-3596	56	10	to	to	ADP
iajs-3596	56	11	fuzzy	fuzzy	ADJ
iajs-3596	56	12	problems	problem	NOUN
iajs-3596	56	13	because	because	SCONJ
iajs-3596	56	14	of	of	ADP
iajs-3596	56	15	their	their	PRON
iajs-3596	56	16	capacity	capacity	NOUN
iajs-3596	56	17	to	to	PART
iajs-3596	56	18	accurately	accurately	ADV
iajs-3596	56	19	reflect	reflect	VERB
iajs-3596	56	20	the	the	DET
iajs-3596	56	21	inherent	inherent	ADJ
iajs-3596	56	22	vagueness	vagueness	NOUN
iajs-3596	56	23	and	and	CCONJ
iajs-3596	56	24	imprecision	imprecision	NOUN
iajs-3596	56	25	of	of	ADP
iajs-3596	56	26	real	real	ADJ
iajs-3596	56	27	-	-	PUNCT
iajs-3596	56	28	world	world	NOUN
iajs-3596	56	29	information	information	NOUN
iajs-3596	56	30	.	.	PUNCT
iajs-3596	57	1	in	in	ADP
iajs-3596	57	2	this	this	DET
iajs-3596	57	3	section	section	NOUN
iajs-3596	57	4	,	,	PUNCT
iajs-3596	57	5	propose	propose	VERB
iajs-3596	57	6	a	a	DET
iajs-3596	57	7	nonlinear	nonlinear	ADJ
iajs-3596	57	8	membership	membership	NOUN
iajs-3596	57	9	function	function	NOUN
iajs-3596	57	10	ℳ𝒜𝐻𝐸	ℳ𝒜𝐻𝐸	PROPN
iajs-3596	57	11	�	�	PROPN
iajs-3596	57	12	̃	̃	PROPN
iajs-3596	57	13	�	�	PROPN
iajs-3596	57	14	(	(	PUNCT
iajs-3596	57	15	𝑥	𝑥	NOUN
iajs-3596	57	16	)	)	PUNCT
iajs-3596	57	17	of	of	ADP
iajs-3596	57	18	a	a	DET
iajs-3596	57	19	heptagonal	heptagonal	ADJ
iajs-3596	57	20	fuzzy	fuzzy	ADJ
iajs-3596	57	21	number	number	NOUN
iajs-3596	57	22	.	.	PUNCT
iajs-3596	58	1	𝒜𝐻𝐸	𝒜𝐻𝐸	PROPN
iajs-3596	58	2	�	�	PROPN
iajs-3596	58	3	̃	̃	PROPN
iajs-3596	58	4	�	�	PROPN
iajs-3596	58	5	=	=	SYM
iajs-3596	58	6	(	(	PUNCT
iajs-3596	58	7	𝛼1	𝛼1	NOUN
iajs-3596	58	8	,	,	PUNCT
iajs-3596	58	9	𝛼2	𝛼2	ADJ
iajs-3596	58	10	,	,	PUNCT
iajs-3596	58	11	𝛼3	𝛼3	NOUN
iajs-3596	58	12	,	,	PUNCT
iajs-3596	58	13	𝛼4	𝛼4	NOUN
iajs-3596	58	14	,	,	PUNCT
iajs-3596	58	15	𝛼5	𝛼5	NOUN
iajs-3596	58	16	,	,	PUNCT
iajs-3596	58	17	𝛼6	𝛼6	NOUN
iajs-3596	58	18	,	,	PUNCT
iajs-3596	58	19	𝛼7	𝛼7	PROPN
iajs-3596	58	20	;	;	PUNCT
iajs-3596	58	21	𝑘1	𝑘1	ADJ
iajs-3596	58	22	,	,	PUNCT
iajs-3596	58	23	𝑘2	𝑘2	PROPN
iajs-3596	58	24	,	,	PUNCT
iajs-3596	58	25	𝜔	𝜔	NOUN
iajs-3596	58	26	)	)	PUNCT
iajs-3596	58	27	,	,	PUNCT
iajs-3596	58	28	where	where	SCONJ
iajs-3596	58	29	𝛼1	𝛼1	NOUN
iajs-3596	58	30	≤	≤	X
iajs-3596	58	31	𝛼2	𝛼2	PROPN
iajs-3596	58	32	≤	≤	NUM
iajs-3596	58	33	𝛼3	𝛼3	VERB
iajs-3596	58	34	≤	≤	NUM
iajs-3596	59	1	𝛼4	𝛼4	NOUN
iajs-3596	59	2	≤	≤	ADJ
iajs-3596	59	3	𝛼5	𝛼5	NOUN
iajs-3596	59	4	≤	≤	NOUN
iajs-3596	59	5	𝛼6	𝛼6	NOUN
iajs-3596	59	6	≤	≤	NOUN
iajs-3596	59	7	𝛼7	𝛼7	PROPN
iajs-3596	59	8	∈	∈	PROPN
iajs-3596	59	9	ℛ	ℛ	PROPN
iajs-3596	59	10	,	,	PUNCT
iajs-3596	59	11	𝑘1	𝑘1	PROPN
iajs-3596	59	12	,	,	PUNCT
iajs-3596	59	13	𝑘2	𝑘2	PROPN
iajs-3596	59	14	∈	∈	PROPN
iajs-3596	60	1	[	[	X
iajs-3596	60	2	0,1	0,1	NUM
iajs-3596	60	3	]	]	PUNCT
iajs-3596	60	4	and	and	CCONJ
iajs-3596	60	5	0	0	NUM
iajs-3596	60	6	<	<	X
iajs-3596	60	7	𝑘1	𝑘1	NOUN
iajs-3596	60	8	<	<	X
iajs-3596	60	9	𝑘2	𝑘2	PROPN
iajs-3596	60	10	<	<	X
iajs-3596	60	11	𝜔	𝜔	X
iajs-3596	60	12	,	,	PUNCT
iajs-3596	60	13	0	0	NUM
iajs-3596	60	14	<	<	X
iajs-3596	60	15	𝜔	𝜔	SYM
iajs-3596	60	16	≤	≤	NUM
iajs-3596	60	17	1	1	NUM
iajs-3596	60	18	:	:	PUNCT
iajs-3596	60	19	ihjpas	ihjpas	PROPN
iajs-3596	60	20	.	.	PUNCT
iajs-3596	61	1	2025	2025	NUM
iajs-3596	61	2	,	,	PUNCT
iajs-3596	61	3	38	38	NUM
iajs-3596	61	4	(	(	PUNCT
iajs-3596	61	5	1	1	NUM
iajs-3596	61	6	)	)	SYM
iajs-3596	61	7	420	420	NUM
iajs-3596	61	8	ℳ𝒜𝐻𝐸	ℳ𝒜𝐻𝐸	PROPN
iajs-3596	61	9	�	�	PROPN
iajs-3596	61	10	̃	̃	PROPN
iajs-3596	61	11	�	�	PROPN
iajs-3596	61	12	(	(	PUNCT
iajs-3596	61	13	𝑥	𝑥	NOUN
iajs-3596	61	14	)	)	PUNCT
iajs-3596	61	15	=	=	PRON
iajs-3596	61	16	{	{	PUNCT
iajs-3596	61	17	0	0	NUM
iajs-3596	61	18	𝑥	𝑥	NOUN
iajs-3596	61	19	<	<	X
iajs-3596	61	20	𝛼1	𝛼1	NOUN
iajs-3596	61	21	(	(	PUNCT
iajs-3596	61	22	𝑘1	𝑘1	PROPN
iajs-3596	61	23	(	(	PUNCT
iajs-3596	61	24	𝑥	𝑥	PRON
iajs-3596	61	25	−	−	PROPN
iajs-3596	61	26	𝛼1	𝛼1	NOUN
iajs-3596	61	27	𝛼2	𝛼2	VERB
iajs-3596	61	28	−	−	PROPN
iajs-3596	61	29	𝛼1	𝛼1	NOUN
iajs-3596	61	30	)	)	PUNCT
iajs-3596	61	31	)	)	PUNCT
iajs-3596	62	1	1/3	1/3	NUM
iajs-3596	62	2	𝛼1	𝛼1	NOUN
iajs-3596	62	3	≤	≤	PUNCT
iajs-3596	62	4	𝑥	𝑥	ADP
iajs-3596	62	5	<	<	X
iajs-3596	62	6	𝛼2	𝛼2	PROPN
iajs-3596	62	7	(	(	PUNCT
iajs-3596	62	8	𝑘1	𝑘1	PROPN
iajs-3596	62	9	+	+	CCONJ
iajs-3596	62	10	(	(	PUNCT
iajs-3596	62	11	𝑘2	𝑘2	PROPN
iajs-3596	62	12	−	−	PROPN
iajs-3596	62	13	𝑘1	𝑘1	PROPN
iajs-3596	62	14	)	)	PUNCT
iajs-3596	62	15	(	(	PUNCT
iajs-3596	62	16	𝑥	𝑥	PRON
iajs-3596	62	17	−	−	PROPN
iajs-3596	62	18	𝛼2	𝛼2	PROPN
iajs-3596	62	19	𝛼3	𝛼3	NOUN
iajs-3596	62	20	−	−	PROPN
iajs-3596	62	21	𝛼2	𝛼2	PROPN
iajs-3596	62	22	)	)	PUNCT
iajs-3596	62	23	)	)	PUNCT
iajs-3596	63	1	1/3	1/3	NUM
iajs-3596	63	2	𝛼2	𝛼2	PROPN
iajs-3596	63	3	≤	≤	X
iajs-3596	64	1	𝑥	𝑥	PRON
iajs-3596	64	2	<	<	X
iajs-3596	64	3	𝛼3	𝛼3	NOUN
iajs-3596	64	4	(	(	PUNCT
iajs-3596	64	5	𝑘2	𝑘2	PROPN
iajs-3596	64	6	+	+	X
iajs-3596	64	7	(	(	PUNCT
iajs-3596	64	8	𝜔	𝜔	PROPN
iajs-3596	64	9	−	−	PROPN
iajs-3596	64	10	𝑘2	𝑘2	PROPN
iajs-3596	64	11	)	)	PUNCT
iajs-3596	64	12	(	(	PUNCT
iajs-3596	64	13	𝑥	𝑥	PRON
iajs-3596	64	14	−	−	NOUN
iajs-3596	64	15	𝛼3	𝛼3	NOUN
iajs-3596	64	16	𝛼4	𝛼4	NOUN
iajs-3596	64	17	−	−	NOUN
iajs-3596	64	18	𝛼3	𝛼3	NOUN
iajs-3596	64	19	)	)	PUNCT
iajs-3596	64	20	)	)	PUNCT
iajs-3596	65	1	1/3	1/3	NUM
iajs-3596	65	2	𝛼3	𝛼3	NOUN
iajs-3596	65	3	≤	≤	X
iajs-3596	65	4	𝑥	𝑥	DET
iajs-3596	65	5	<	<	X
iajs-3596	65	6	𝛼4	𝛼4	NOUN
iajs-3596	65	7	(	(	PUNCT
iajs-3596	65	8	𝜔	𝜔	PART
iajs-3596	65	9	+	+	NUM
iajs-3596	65	10	(	(	PUNCT
iajs-3596	65	11	𝑘2	𝑘2	PROPN
iajs-3596	65	12	−	−	PROPN
iajs-3596	65	13	𝜔	𝜔	NOUN
iajs-3596	65	14	)	)	PUNCT
iajs-3596	65	15	(	(	PUNCT
iajs-3596	65	16	𝑥	𝑥	PRON
iajs-3596	65	17	−	−	NOUN
iajs-3596	65	18	𝛼4	𝛼4	NOUN
iajs-3596	65	19	𝛼5	𝛼5	NOUN
iajs-3596	65	20	−	−	NOUN
iajs-3596	65	21	𝛼4	𝛼4	NOUN
iajs-3596	65	22	)	)	PUNCT
iajs-3596	65	23	)	)	PUNCT
iajs-3596	66	1	1/3	1/3	NUM
iajs-3596	66	2	𝛼4	𝛼4	NOUN
iajs-3596	66	3	≤	≤	PUNCT
iajs-3596	66	4	𝑥	𝑥	ADP
iajs-3596	66	5	<	<	X
iajs-3596	66	6	𝛼5	𝛼5	PROPN
iajs-3596	66	7	(	(	PUNCT
iajs-3596	66	8	𝑘2	𝑘2	PROPN
iajs-3596	66	9	−	−	PROPN
iajs-3596	66	10	(	(	PUNCT
iajs-3596	66	11	𝑘2	𝑘2	PROPN
iajs-3596	66	12	−	−	PROPN
iajs-3596	66	13	𝑘1	𝑘1	PROPN
iajs-3596	66	14	)	)	PUNCT
iajs-3596	66	15	(	(	PUNCT
iajs-3596	66	16	𝑥	𝑥	PRON
iajs-3596	66	17	−	−	NOUN
iajs-3596	66	18	𝛼5	𝛼5	NOUN
iajs-3596	66	19	𝛼6	𝛼6	NOUN
iajs-3596	66	20	−	−	NOUN
iajs-3596	66	21	𝛼5	𝛼5	NOUN
iajs-3596	66	22	)	)	PUNCT
iajs-3596	66	23	)	)	PUNCT
iajs-3596	66	24	1/3	1/3	NUM
iajs-3596	66	25	𝛼5	𝛼5	NOUN
iajs-3596	66	26	≤	≤	NOUN
iajs-3596	66	27	𝑥	𝑥	ADP
iajs-3596	66	28	<	<	X
iajs-3596	66	29	𝛼6	𝛼6	PROPN
iajs-3596	66	30	(	(	PUNCT
iajs-3596	66	31	𝑘1	𝑘1	PROPN
iajs-3596	66	32	−	−	PROPN
iajs-3596	66	33	𝑘1	𝑘1	PROPN
iajs-3596	66	34	(	(	PUNCT
iajs-3596	66	35	𝑥	𝑥	NOUN
iajs-3596	66	36	−	−	PROPN
iajs-3596	66	37	𝛼6	𝛼6	NOUN
iajs-3596	66	38	𝛼7	𝛼7	PROPN
iajs-3596	66	39	−	−	PROPN
iajs-3596	66	40	𝛼6	𝛼6	NOUN
iajs-3596	66	41	)	)	PUNCT
iajs-3596	66	42	)	)	PUNCT
iajs-3596	67	1	1/3	1/3	NUM
iajs-3596	67	2	0	0	NUM
iajs-3596	67	3	𝛼6	𝛼6	NOUN
iajs-3596	67	4	≤	≤	NUM
iajs-3596	67	5	𝑥	𝑥	PRON
iajs-3596	67	6	≤	≤	NUM
iajs-3596	67	7	𝛼7	𝛼7	NOUN
iajs-3596	67	8	𝑥	𝑥	X
iajs-3596	67	9	>	>	X
iajs-3596	67	10	𝛼7	𝛼7	PROPN
iajs-3596	67	11	3.1	3.1	NUM
iajs-3596	67	12	.	.	PUNCT
iajs-3596	68	1	the	the	DET
iajs-3596	68	2	(	(	PUNCT
iajs-3596	68	3	𝓸	𝓸	PROPN
iajs-3596	68	4	−	−	PROPN
iajs-3596	68	5	𝒄𝒖𝒕	𝒄𝒖𝒕	NOUN
iajs-3596	68	6	)	)	PUNCT
iajs-3596	68	7	function	function	VERB
iajs-3596	68	8	the	the	DET
iajs-3596	68	9	ℴ	ℴ	NOUN
iajs-3596	68	10	−	−	PROPN
iajs-3596	68	11	𝑐𝑢𝑡	𝑐𝑢𝑡	NOUN
iajs-3596	68	12	function	function	NOUN
iajs-3596	68	13	is	be	AUX
iajs-3596	68	14	a	a	DET
iajs-3596	68	15	mathematical	mathematical	ADJ
iajs-3596	68	16	function	function	NOUN
iajs-3596	68	17	used	use	VERB
iajs-3596	68	18	in	in	ADP
iajs-3596	68	19	fuzzy	fuzzy	ADJ
iajs-3596	68	20	logic	logic	NOUN
iajs-3596	68	21	to	to	PART
iajs-3596	68	22	define	define	VERB
iajs-3596	68	23	a	a	DET
iajs-3596	68	24	subset	subset	NOUN
iajs-3596	68	25	of	of	ADP
iajs-3596	68	26	a	a	DET
iajs-3596	68	27	fuzzy	fuzzy	ADJ
iajs-3596	68	28	set	set	NOUN
iajs-3596	68	29	.	.	PUNCT
iajs-3596	69	1	it	it	PRON
iajs-3596	69	2	is	be	AUX
iajs-3596	69	3	a	a	DET
iajs-3596	69	4	way	way	NOUN
iajs-3596	69	5	of	of	ADP
iajs-3596	69	6	defining	define	VERB
iajs-3596	69	7	the	the	DET
iajs-3596	69	8	degree	degree	NOUN
iajs-3596	69	9	of	of	ADP
iajs-3596	69	10	membership	membership	NOUN
iajs-3596	69	11	of	of	ADP
iajs-3596	69	12	an	an	DET
iajs-3596	69	13	element	element	NOUN
iajs-3596	69	14	in	in	ADP
iajs-3596	69	15	a	a	DET
iajs-3596	69	16	fuzzy	fuzzy	ADJ
iajs-3596	69	17	set	set	NOUN
iajs-3596	69	18	.in	.in	PUNCT
iajs-3596	69	19	this	this	DET
iajs-3596	69	20	section	section	NOUN
iajs-3596	69	21	constructs	construct	VERB
iajs-3596	69	22	the	the	DET
iajs-3596	69	23	(	(	PUNCT
iajs-3596	69	24	ℴ	ℴ	NOUN
iajs-3596	69	25	−	−	PROPN
iajs-3596	69	26	𝑐𝑢𝑡	𝑐𝑢𝑡	NOUN
iajs-3596	69	27	)	)	PUNCT
iajs-3596	69	28	function	function	NOUN
iajs-3596	69	29	of	of	ADP
iajs-3596	69	30	a	a	DET
iajs-3596	69	31	heptagonal	heptagonal	ADJ
iajs-3596	69	32	fuzzy	fuzzy	ADJ
iajs-3596	69	33	number	number	NOUN
iajs-3596	69	34	as	as	SCONJ
iajs-3596	69	35	follows	follow	VERB
iajs-3596	69	36	:	:	PUNCT
iajs-3596	69	37	𝒜𝐻𝐸𝑃𝓸	𝒜𝐻𝐸𝑃𝓸	X
iajs-3596	69	38	̃	̃	PROPN
iajs-3596	69	39	=	=	SYM
iajs-3596	69	40	{	{	PUNCT
iajs-3596	69	41	𝛼1	𝛼1	PROPN
iajs-3596	69	42	+	+	CCONJ
iajs-3596	69	43	ℴ3	ℴ3	PROPN
iajs-3596	69	44	𝑘1	𝑘1	PROPN
iajs-3596	69	45	(	(	PUNCT
iajs-3596	69	46	𝛼2	𝛼2	PROPN
iajs-3596	69	47	−	−	PROPN
iajs-3596	69	48	𝛼1	𝛼1	NOUN
iajs-3596	69	49	)	)	PUNCT
iajs-3596	69	50	ℴ	ℴ	NOUN
iajs-3596	69	51	∈	∈	PROPN
iajs-3596	70	1	[	[	X
iajs-3596	70	2	0	0	NUM
iajs-3596	70	3	,	,	PUNCT
iajs-3596	70	4	𝑘1	𝑘1	ADJ
iajs-3596	70	5	]	]	X
iajs-3596	70	6	𝛼2	𝛼2	PROPN
iajs-3596	70	7	+	+	CCONJ
iajs-3596	70	8	(	(	PUNCT
iajs-3596	70	9	ℴ3	ℴ3	PROPN
iajs-3596	70	10	−	−	PROPN
iajs-3596	70	11	𝑘1	𝑘1	ADJ
iajs-3596	70	12	𝑘2	𝑘2	PROPN
iajs-3596	70	13	−	−	PROPN
iajs-3596	70	14	𝑘1	𝑘1	PROPN
iajs-3596	70	15	)	)	PUNCT
iajs-3596	70	16	(	(	PUNCT
iajs-3596	70	17	𝛼3	𝛼3	ADV
iajs-3596	70	18	−	−	PROPN
iajs-3596	70	19	𝛼2	𝛼2	PROPN
iajs-3596	70	20	)	)	PUNCT
iajs-3596	70	21	ℴ	ℴ	NOUN
iajs-3596	70	22	∈	∈	PROPN
iajs-3596	70	23	(	(	PUNCT
iajs-3596	70	24	𝑘1	𝑘1	PROPN
iajs-3596	70	25	,	,	PUNCT
iajs-3596	70	26	𝑘2	𝑘2	PROPN
iajs-3596	70	27	]	]	PUNCT
iajs-3596	70	28	𝛼3	𝛼3	ADV
iajs-3596	70	29	+	+	CCONJ
iajs-3596	70	30	(	(	PUNCT
iajs-3596	70	31	ℴ3	ℴ3	PROPN
iajs-3596	70	32	−	−	PROPN
iajs-3596	70	33	𝑘2	𝑘2	PROPN
iajs-3596	70	34	𝜔	𝜔	PROPN
iajs-3596	70	35	−	−	PROPN
iajs-3596	70	36	𝑘2	𝑘2	PROPN
iajs-3596	70	37	)	)	PUNCT
iajs-3596	70	38	(	(	PUNCT
iajs-3596	70	39	𝛼4	𝛼4	NOUN
iajs-3596	70	40	−	−	NOUN
iajs-3596	70	41	𝛼3	𝛼3	NOUN
iajs-3596	70	42	)	)	PUNCT
iajs-3596	70	43	ℴ	ℴ	NOUN
iajs-3596	70	44	∈	∈	PROPN
iajs-3596	70	45	(	(	PUNCT
iajs-3596	70	46	𝑘2	𝑘2	PROPN
iajs-3596	70	47	,	,	PUNCT
iajs-3596	70	48	𝜔	𝜔	NOUN
iajs-3596	70	49	]	]	X
iajs-3596	70	50	𝛼4	𝛼4	NOUN
iajs-3596	70	51	+	+	CCONJ
iajs-3596	70	52	(	(	PUNCT
iajs-3596	70	53	ℴ3	ℴ3	NOUN
iajs-3596	70	54	−	−	PROPN
iajs-3596	70	55	𝜔	𝜔	ADP
iajs-3596	70	56	𝑘2	𝑘2	PROPN
iajs-3596	70	57	−	−	PROPN
iajs-3596	70	58	𝜔	𝜔	NOUN
iajs-3596	70	59	)	)	PUNCT
iajs-3596	70	60	(	(	PUNCT
iajs-3596	70	61	𝛼5	𝛼5	NOUN
iajs-3596	70	62	−	−	NOUN
iajs-3596	70	63	𝛼4	𝛼4	NOUN
iajs-3596	70	64	)	)	PUNCT
iajs-3596	70	65	ℴ	ℴ	NOUN
iajs-3596	70	66	∈	∈	PROPN
iajs-3596	70	67	(	(	PUNCT
iajs-3596	70	68	𝑘2	𝑘2	PROPN
iajs-3596	70	69	,	,	PUNCT
iajs-3596	70	70	𝜔	𝜔	X
iajs-3596	70	71	]	]	X
iajs-3596	70	72	𝛼5	𝛼5	NOUN
iajs-3596	70	73	+	+	CCONJ
iajs-3596	70	74	(	(	PUNCT
iajs-3596	70	75	ℴ3	ℴ3	PROPN
iajs-3596	70	76	−	−	PROPN
iajs-3596	70	77	𝑘2	𝑘2	PROPN
iajs-3596	70	78	𝑘1	𝑘1	PROPN
iajs-3596	70	79	−	−	PROPN
iajs-3596	70	80	𝑘2	𝑘2	PROPN
iajs-3596	70	81	)	)	PUNCT
iajs-3596	70	82	(	(	PUNCT
iajs-3596	70	83	𝛼6	𝛼6	NOUN
iajs-3596	70	84	−	−	NOUN
iajs-3596	70	85	𝛼5	𝛼5	NOUN
iajs-3596	70	86	)	)	PUNCT
iajs-3596	70	87	ℴ	ℴ	NOUN
iajs-3596	70	88	∈	∈	PROPN
iajs-3596	70	89	(	(	PUNCT
iajs-3596	70	90	𝑘1	𝑘1	PROPN
iajs-3596	70	91	,	,	PUNCT
iajs-3596	70	92	𝑘2	𝑘2	PROPN
iajs-3596	70	93	]	]	X
iajs-3596	70	94	𝛼6	𝛼6	NOUN
iajs-3596	70	95	+	+	CCONJ
iajs-3596	70	96	(	(	PUNCT
iajs-3596	70	97	1	1	NUM
iajs-3596	70	98	−	−	PROPN
iajs-3596	70	99	ℴ3	ℴ3	NOUN
iajs-3596	70	100	𝑘1	𝑘1	PROPN
iajs-3596	70	101	)	)	PUNCT
iajs-3596	70	102	(	(	PUNCT
iajs-3596	70	103	𝛼7	𝛼7	PROPN
iajs-3596	70	104	−	−	PROPN
iajs-3596	70	105	𝛼6	𝛼6	NOUN
iajs-3596	70	106	)	)	PUNCT
iajs-3596	70	107	ℴ	ℴ	NOUN
iajs-3596	70	108	∈	∈	PROPN
iajs-3596	71	1	[	[	X
iajs-3596	71	2	0	0	NUM
iajs-3596	71	3	,	,	PUNCT
iajs-3596	71	4	𝑘1	𝑘1	PROPN
iajs-3596	71	5	]	]	PUNCT
iajs-3596	71	6	(	(	PUNCT
iajs-3596	71	7	𝑖𝑛𝑓1𝒜𝐻𝐸𝑃𝓸	𝑖𝑛𝑓1𝒜𝐻𝐸𝑃𝓸	PUNCT
iajs-3596	71	8	̃	̃	PROPN
iajs-3596	71	9	,	,	PUNCT
iajs-3596	71	10	𝑠𝑢𝑝3𝒜𝐻𝐸𝑃𝓸	𝑠𝑢𝑝3𝒜𝐻𝐸𝑃𝓸	PROPN
iajs-3596	71	11	̃	̃	ADV
iajs-3596	71	12	)	)	PUNCT
iajs-3596	71	13	=	=	SYM
iajs-3596	72	1	(	(	PUNCT
iajs-3596	72	2	[	[	X
iajs-3596	72	3	𝛼1	𝛼1	NOUN
iajs-3596	72	4	+	+	CCONJ
iajs-3596	72	5	ℴ3	ℴ3	NOUN
iajs-3596	72	6	𝑘1	𝑘1	PROPN
iajs-3596	72	7	(	(	PUNCT
iajs-3596	72	8	𝛼2	𝛼2	PROPN
iajs-3596	72	9	−	−	PROPN
iajs-3596	72	10	𝛼1	𝛼1	NOUN
iajs-3596	72	11	)	)	PUNCT
iajs-3596	72	12	]	]	PUNCT
iajs-3596	72	13	,	,	PUNCT
iajs-3596	73	1	[	[	X
iajs-3596	73	2	𝛼6	𝛼6	NOUN
iajs-3596	73	3	+	+	CCONJ
iajs-3596	73	4	(	(	PUNCT
iajs-3596	73	5	1	1	NUM
iajs-3596	73	6	−	−	PROPN
iajs-3596	73	7	ℴ3	ℴ3	NOUN
iajs-3596	73	8	𝑘1	𝑘1	PROPN
iajs-3596	73	9	)	)	PUNCT
iajs-3596	73	10	(	(	PUNCT
iajs-3596	73	11	𝛼7	𝛼7	NOUN
iajs-3596	73	12	−	−	PROPN
iajs-3596	73	13	𝛼6)]),ℴ	𝛼6)]),ℴ	X
iajs-3596	73	14	∈	∈	PROPN
iajs-3596	73	15	[	[	X
iajs-3596	73	16	0	0	NUM
iajs-3596	73	17	,	,	PUNCT
iajs-3596	73	18	𝑘1	𝑘1	PROPN
iajs-3596	73	19	]	]	PUNCT
iajs-3596	73	20	(	(	PUNCT
iajs-3596	73	21	𝑖𝑛𝑓2𝒜𝐻𝐸𝑃𝓸	𝑖𝑛𝑓2𝒜𝐻𝐸𝑃𝓸	X
iajs-3596	74	1	̃	̃	ADV
iajs-3596	74	2	,	,	PUNCT
iajs-3596	74	3	𝑠𝑢𝑝2𝒜𝐻𝐸𝑃𝓸	𝑠𝑢𝑝2𝒜𝐻𝐸𝑃𝓸	PROPN
iajs-3596	74	4	̃	̃	ADV
iajs-3596	74	5	)	)	PUNCT
iajs-3596	74	6	=	=	SYM
iajs-3596	75	1	(	(	PUNCT
iajs-3596	75	2	[	[	X
iajs-3596	75	3	𝛼2	𝛼2	NOUN
iajs-3596	75	4	+	+	CCONJ
iajs-3596	75	5	(	(	PUNCT
iajs-3596	75	6	ℴ3−𝑘1	ℴ3−𝑘1	NUM
iajs-3596	75	7	𝑘2−𝑘1	𝑘2−𝑘1	PROPN
iajs-3596	75	8	)	)	PUNCT
iajs-3596	75	9	(	(	PUNCT
iajs-3596	75	10	𝛼3	𝛼3	ADV
iajs-3596	75	11	−	−	PROPN
iajs-3596	75	12	𝛼2	𝛼2	PROPN
iajs-3596	75	13	)	)	PUNCT
iajs-3596	75	14	]	]	PUNCT
iajs-3596	75	15	,	,	PUNCT
iajs-3596	75	16	[	[	X
iajs-3596	75	17	𝛼5	𝛼5	NOUN
iajs-3596	75	18	+	+	CCONJ
iajs-3596	75	19	(	(	PUNCT
iajs-3596	75	20	ℴ3−𝑘2	ℴ3−𝑘2	NUM
iajs-3596	75	21	𝑘1−𝑘2	𝑘1−𝑘2	NUM
iajs-3596	75	22	)	)	PUNCT
iajs-3596	75	23	(	(	PUNCT
iajs-3596	75	24	𝛼6	𝛼6	NOUN
iajs-3596	75	25	−	−	NOUN
iajs-3596	75	26	𝛼5	𝛼5	NOUN
iajs-3596	75	27	)	)	PUNCT
iajs-3596	75	28	]	]	PUNCT
iajs-3596	75	29	)	)	PUNCT
iajs-3596	75	30	,	,	PUNCT
iajs-3596	75	31	ℴ	ℴ	PROPN
iajs-3596	75	32	∈	∈	PROPN
iajs-3596	75	33	(	(	PUNCT
iajs-3596	75	34	𝑘1	𝑘1	PROPN
iajs-3596	75	35	,	,	PUNCT
iajs-3596	75	36	𝑘2	𝑘2	PROPN
iajs-3596	75	37	]	]	PUNCT
iajs-3596	75	38	(	(	PUNCT
iajs-3596	75	39	𝑖𝑛𝑓3𝒜𝐻𝐸𝑃𝓸	𝑖𝑛𝑓3𝒜𝐻𝐸𝑃𝓸	SYM
iajs-3596	75	40	̃	̃	ADV
iajs-3596	75	41	,	,	PUNCT
iajs-3596	75	42	𝑠𝑢𝑝1𝒜𝐻𝐸𝑃𝓸	𝑠𝑢𝑝1𝒜𝐻𝐸𝑃𝓸	PROPN
iajs-3596	75	43	̃	̃	ADV
iajs-3596	75	44	)	)	PUNCT
iajs-3596	75	45	=	=	SYM
iajs-3596	75	46	(	(	PUNCT
iajs-3596	75	47	[	[	X
iajs-3596	75	48	𝛼3	𝛼3	X
iajs-3596	75	49	+	+	CCONJ
iajs-3596	75	50	(	(	PUNCT
iajs-3596	75	51	ℴ3−𝑘2	ℴ3−𝑘2	NUM
iajs-3596	75	52	𝜔−𝑘2	𝜔−𝑘2	NUM
iajs-3596	75	53	)	)	PUNCT
iajs-3596	75	54	(	(	PUNCT
iajs-3596	75	55	𝛼4	𝛼4	NOUN
iajs-3596	75	56	−	−	NOUN
iajs-3596	75	57	𝛼3	𝛼3	NOUN
iajs-3596	75	58	)	)	PUNCT
iajs-3596	75	59	]	]	PUNCT
iajs-3596	75	60	,	,	PUNCT
iajs-3596	75	61	[	[	PUNCT
iajs-3596	75	62	𝛼4	𝛼4	NOUN
iajs-3596	75	63	+	+	CCONJ
iajs-3596	75	64	(	(	PUNCT
iajs-3596	75	65	ℴ3−𝜔	ℴ3−𝜔	PROPN
iajs-3596	75	66	𝑘2−𝜔	𝑘2−𝜔	PROPN
iajs-3596	75	67	)	)	PUNCT
iajs-3596	75	68	(	(	PUNCT
iajs-3596	75	69	𝛼5	𝛼5	ADP
iajs-3596	75	70	−	−	NOUN
iajs-3596	75	71	𝛼4	𝛼4	NOUN
iajs-3596	75	72	)	)	PUNCT
iajs-3596	75	73	]	]	PUNCT
iajs-3596	75	74	,	,	PUNCT
iajs-3596	75	75	ℴ	ℴ	PROPN
iajs-3596	75	76	∈	∈	PROPN
iajs-3596	75	77	(	(	PUNCT
iajs-3596	75	78	𝑘2	𝑘2	PROPN
iajs-3596	75	79	,	,	PUNCT
iajs-3596	75	80	𝜔	𝜔	X
iajs-3596	75	81	]	]	X
iajs-3596	75	82	ihjpas	ihjpa	NOUN
iajs-3596	75	83	.	.	PUNCT
iajs-3596	76	1	2025	2025	NUM
iajs-3596	76	2	,	,	PUNCT
iajs-3596	76	3	38	38	NUM
iajs-3596	76	4	(	(	PUNCT
iajs-3596	76	5	1	1	NUM
iajs-3596	76	6	)	)	PUNCT
iajs-3596	76	7	421	421	NUM
iajs-3596	76	8	3.2	3.2	NUM
iajs-3596	76	9	ranking	rank	VERB
iajs-3596	76	10	function	function	NOUN
iajs-3596	76	11	fuzzy	fuzzy	ADJ
iajs-3596	76	12	problem	problem	NOUN
iajs-3596	76	13	solving	solving	NOUN
iajs-3596	76	14	depends	depend	VERB
iajs-3596	76	15	significantly	significantly	ADV
iajs-3596	76	16	on	on	ADP
iajs-3596	76	17	ranking	ranking	ADJ
iajs-3596	76	18	functions	function	NOUN
iajs-3596	76	19	,	,	PUNCT
iajs-3596	76	20	which	which	PRON
iajs-3596	76	21	help	help	VERB
iajs-3596	76	22	evaluate	evaluate	VERB
iajs-3596	76	23	and	and	CCONJ
iajs-3596	76	24	prioritize	prioritize	VERB
iajs-3596	76	25	possible	possible	ADJ
iajs-3596	76	26	solutions	solution	NOUN
iajs-3596	76	27	.	.	PUNCT
iajs-3596	77	1	the	the	DET
iajs-3596	77	2	ranking	rank	VERB
iajs-3596	77	3	function	function	NOUN
iajs-3596	77	4	allows	allow	VERB
iajs-3596	77	5	alternatives	alternative	NOUN
iajs-3596	77	6	to	to	PART
iajs-3596	77	7	be	be	AUX
iajs-3596	77	8	evaluated	evaluate	VERB
iajs-3596	77	9	according	accord	VERB
iajs-3596	77	10	to	to	ADP
iajs-3596	77	11	their	their	PRON
iajs-3596	77	12	level	level	NOUN
iajs-3596	77	13	of	of	ADP
iajs-3596	77	14	membership	membership	NOUN
iajs-3596	77	15	in	in	ADP
iajs-3596	77	16	a	a	DET
iajs-3596	77	17	set	set	NOUN
iajs-3596	77	18	or	or	CCONJ
iajs-3596	77	19	category	category	NOUN
iajs-3596	77	20	,	,	PUNCT
iajs-3596	77	21	which	which	PRON
iajs-3596	77	22	is	be	AUX
iajs-3596	77	23	particularly	particularly	ADV
iajs-3596	77	24	useful	useful	ADJ
iajs-3596	77	25	in	in	ADP
iajs-3596	77	26	a	a	DET
iajs-3596	77	27	fuzzy	fuzzy	ADJ
iajs-3596	77	28	environment	environment	NOUN
iajs-3596	77	29	when	when	SCONJ
iajs-3596	77	30	there	there	PRON
iajs-3596	77	31	is	be	VERB
iajs-3596	77	32	uncertainty	uncertainty	NOUN
iajs-3596	77	33	and	and	CCONJ
iajs-3596	77	34	imprecision	imprecision	NOUN
iajs-3596	77	35	in	in	ADP
iajs-3596	77	36	the	the	DET
iajs-3596	77	37	data	datum	NOUN
iajs-3596	77	38	.	.	PUNCT
iajs-3596	78	1	this	this	DET
iajs-3596	78	2	section	section	NOUN
iajs-3596	78	3	proposed	propose	VERB
iajs-3596	78	4	a	a	DET
iajs-3596	78	5	novel	novel	ADJ
iajs-3596	78	6	ranking	ranking	NOUN
iajs-3596	78	7	function	function	NOUN
iajs-3596	78	8	depending	depend	VERB
iajs-3596	78	9	on	on	ADP
iajs-3596	78	10	the	the	DET
iajs-3596	78	11	new	new	ADJ
iajs-3596	78	12	nonlinear	nonlinear	ADJ
iajs-3596	78	13	heptagonal	heptagonal	ADJ
iajs-3596	78	14	membership	membership	NOUN
iajs-3596	78	15	function	function	NOUN
iajs-3596	78	16	as	as	SCONJ
iajs-3596	78	17	shown	show	VERB
iajs-3596	78	18	:	:	PUNCT
iajs-3596	78	19	let	let	VERB
iajs-3596	78	20	𝒜𝐻𝐸	𝒜𝐻𝐸	PROPN
iajs-3596	78	21	�	�	PROPN
iajs-3596	78	22	̃	̃	PROPN
iajs-3596	78	23	�	�	NOUN
iajs-3596	78	24	=	=	SYM
iajs-3596	78	25	(	(	PUNCT
iajs-3596	78	26	𝛼1	𝛼1	NOUN
iajs-3596	78	27	,	,	PUNCT
iajs-3596	78	28	𝛼2	𝛼2	ADJ
iajs-3596	78	29	,	,	PUNCT
iajs-3596	78	30	𝛼3	𝛼3	NOUN
iajs-3596	78	31	,	,	PUNCT
iajs-3596	78	32	𝛼4	𝛼4	NOUN
iajs-3596	78	33	,	,	PUNCT
iajs-3596	78	34	𝛼5	𝛼5	NOUN
iajs-3596	78	35	,	,	PUNCT
iajs-3596	78	36	𝛼6	𝛼6	NOUN
iajs-3596	78	37	,	,	PUNCT
iajs-3596	78	38	𝛼7	𝛼7	PROPN
iajs-3596	78	39	;	;	PUNCT
iajs-3596	78	40	𝑘1	𝑘1	ADJ
iajs-3596	78	41	,	,	PUNCT
iajs-3596	78	42	𝑘2	𝑘2	PROPN
iajs-3596	78	43	,	,	PUNCT
iajs-3596	78	44	𝜔	𝜔	PROPN
iajs-3596	78	45	)	)	PUNCT
iajs-3596	78	46	,	,	PUNCT
iajs-3596	78	47	depending	depend	VERB
iajs-3596	78	48	on	on	ADP
iajs-3596	78	49	the	the	DET
iajs-3596	78	50	following	follow	VERB
iajs-3596	78	51	function	function	NOUN
iajs-3596	78	52	:	:	PUNCT
iajs-3596	78	53	ℜ(𝒜𝐻𝐸	ℜ(𝒜𝐻𝐸	PROPN
iajs-3596	78	54	�	�	PROPN
iajs-3596	78	55	̃	̃	PROPN
iajs-3596	78	56	�	�	PROPN
iajs-3596	78	57	)	)	PUNCT
iajs-3596	78	58	=	=	PUNCT
iajs-3596	78	59	(	(	PUNCT
iajs-3596	78	60	1	1	NUM
iajs-3596	78	61	2	2	NUM
iajs-3596	78	62	)	)	PUNCT
iajs-3596	78	63	∫	∫	PROPN
iajs-3596	79	1	(	(	PUNCT
iajs-3596	79	2	𝑖𝑛𝑓𝑖𝒜𝐻𝐸𝑃𝓸	𝑖𝑛𝑓𝑖𝒜𝐻𝐸𝑃𝓸	PROPN
iajs-3596	79	3	̃	̃	PROPN
iajs-3596	79	4	+	+	PROPN
iajs-3596	79	5	sup𝑗𝒜𝐻𝐸𝑃𝓸	sup𝑗𝒜𝐻𝐸𝑃𝓸	NOUN
iajs-3596	79	6	̃	̃	PROPN
iajs-3596	79	7	)	)	PUNCT
iajs-3596	79	8	𝑑ℴ	𝑑ℴ	ADP
iajs-3596	79	9	𝜔	𝜔	SYM
iajs-3596	79	10	0	0	NUM
iajs-3596	79	11	𝑖	𝑖	SYM
iajs-3596	79	12	=	=	NOUN
iajs-3596	80	1	1,2,3	1,2,3	NUM
iajs-3596	80	2	𝑗	𝑗	NOUN
iajs-3596	80	3	=	=	X
iajs-3596	80	4	{	{	PUNCT
iajs-3596	80	5	𝑖	𝑖	PROPN
iajs-3596	81	1	+	+	NOUN
iajs-3596	81	2	2	2	NUM
iajs-3596	81	3	𝑖	𝑖	NOUN
iajs-3596	81	4	=	=	NOUN
iajs-3596	81	5	1	1	NUM
iajs-3596	81	6	𝑖	𝑖	SYM
iajs-3596	81	7	𝑖	𝑖	PUNCT
iajs-3596	81	8	=	=	SYM
iajs-3596	81	9	2	2	NUM
iajs-3596	81	10	𝑖	𝑖	SYM
iajs-3596	81	11	−	−	NOUN
iajs-3596	81	12	2	2	NUM
iajs-3596	81	13	𝑖	𝑖	NOUN
iajs-3596	81	14	=	=	SYM
iajs-3596	81	15	3	3	NUM
iajs-3596	81	16	suppose	suppose	VERB
iajs-3596	81	17	that	that	SCONJ
iajs-3596	81	18	ℜ(𝒜𝐻𝐸	ℜ(𝒜𝐻𝐸	PROPN
iajs-3596	81	19	�	�	PROPN
iajs-3596	81	20	̃	̃	PROPN
iajs-3596	81	21	�	�	PROPN
iajs-3596	81	22	)	)	PUNCT
iajs-3596	81	23	=	=	SYM
iajs-3596	81	24	1	1	NUM
iajs-3596	81	25	2	2	NUM
iajs-3596	81	26	∗	∗	NOUN
iajs-3596	81	27	(	(	PUNCT
iajs-3596	81	28	𝐹1	𝐹1	PROPN
iajs-3596	81	29	+	+	PROPN
iajs-3596	81	30	𝐹2	𝐹2	NOUN
iajs-3596	81	31	+	+	X
iajs-3596	81	32	𝐹3	𝐹3	PROPN
iajs-3596	81	33	)	)	PUNCT
iajs-3596	81	34	(	(	PUNCT
iajs-3596	81	35	1	1	X
iajs-3596	81	36	)	)	PUNCT
iajs-3596	81	37	where	where	SCONJ
iajs-3596	81	38	;	;	PUNCT
iajs-3596	81	39	𝐹1	𝐹1	PROPN
iajs-3596	81	40	=	=	SYM
iajs-3596	81	41	∫	∫	PROPN
iajs-3596	81	42	(	(	PUNCT
iajs-3596	81	43	[	[	X
iajs-3596	81	44	𝛼1	𝛼1	NOUN
iajs-3596	81	45	+	+	CCONJ
iajs-3596	81	46	(	(	PUNCT
iajs-3596	81	47	ℴ3	ℴ3	PROPN
iajs-3596	81	48	𝑘1	𝑘1	PROPN
iajs-3596	81	49	)	)	PUNCT
iajs-3596	81	50	(	(	PUNCT
iajs-3596	81	51	𝛼2	𝛼2	VERB
iajs-3596	81	52	−	−	PROPN
iajs-3596	81	53	𝛼1	𝛼1	NOUN
iajs-3596	81	54	)	)	PUNCT
iajs-3596	81	55	]	]	PUNCT
iajs-3596	82	1	+	+	CCONJ
iajs-3596	82	2	[	[	X
iajs-3596	82	3	𝛼6	𝛼6	NOUN
iajs-3596	82	4	+	+	CCONJ
iajs-3596	82	5	(	(	PUNCT
iajs-3596	82	6	1	1	NUM
iajs-3596	82	7	−	−	PROPN
iajs-3596	82	8	ℴ3	ℴ3	NOUN
iajs-3596	82	9	𝑘1	𝑘1	PROPN
iajs-3596	82	10	)	)	PUNCT
iajs-3596	82	11	(	(	PUNCT
iajs-3596	82	12	𝛼7	𝛼7	PROPN
iajs-3596	82	13	−	−	PROPN
iajs-3596	82	14	𝛼6	𝛼6	NOUN
iajs-3596	82	15	)	)	PUNCT
iajs-3596	82	16	]	]	PUNCT
iajs-3596	82	17	)	)	PUNCT
iajs-3596	83	1	𝑘1	𝑘1	NOUN
iajs-3596	83	2	0	0	NUM
iajs-3596	83	3	𝑑ℴ	𝑑ℴ	ADP
iajs-3596	83	4	∴	∴	PROPN
iajs-3596	83	5	𝐹1	𝐹1	PROPN
iajs-3596	84	1	=	=	NOUN
iajs-3596	84	2	1	1	NUM
iajs-3596	84	3	4	4	NUM
iajs-3596	84	4	[	[	PUNCT
iajs-3596	84	5	𝑘1	𝑘1	NOUN
iajs-3596	84	6	3(𝛼2	3(𝛼2	NUM
iajs-3596	84	7	−	−	PROPN
iajs-3596	84	8	𝛼1	𝛼1	PROPN
iajs-3596	84	9	+	+	CCONJ
iajs-3596	84	10	𝛼6	𝛼6	NOUN
iajs-3596	84	11	−	−	PROPN
iajs-3596	84	12	𝛼7	𝛼7	PROPN
iajs-3596	84	13	)	)	PUNCT
iajs-3596	85	1	+	+	CCONJ
iajs-3596	85	2	𝑘1(4𝛼1	𝑘1(4𝛼1	ADJ
iajs-3596	85	3	+	+	PROPN
iajs-3596	85	4	4𝛼7	4𝛼7	NUM
iajs-3596	85	5	)	)	PUNCT
iajs-3596	85	6	]	]	PUNCT
iajs-3596	85	7	(	(	PUNCT
iajs-3596	85	8	2	2	X
iajs-3596	85	9	)	)	PUNCT
iajs-3596	85	10	𝐹2	𝐹2	NOUN
iajs-3596	85	11	=	=	SYM
iajs-3596	85	12	∫	∫	PROPN
iajs-3596	85	13	(	(	PUNCT
iajs-3596	85	14	[	[	X
iajs-3596	85	15	𝛼2	𝛼2	NOUN
iajs-3596	85	16	+	+	CCONJ
iajs-3596	85	17	(	(	PUNCT
iajs-3596	85	18	ℴ3	ℴ3	PROPN
iajs-3596	85	19	−	−	PROPN
iajs-3596	85	20	𝑘1	𝑘1	ADJ
iajs-3596	85	21	𝑘2	𝑘2	PROPN
iajs-3596	85	22	−	−	PROPN
iajs-3596	85	23	𝑘1	𝑘1	PROPN
iajs-3596	85	24	)	)	PUNCT
iajs-3596	85	25	(	(	PUNCT
iajs-3596	85	26	𝛼3	𝛼3	ADV
iajs-3596	85	27	−	−	PROPN
iajs-3596	85	28	𝛼2	𝛼2	PROPN
iajs-3596	85	29	)	)	PUNCT
iajs-3596	85	30	]	]	PUNCT
iajs-3596	86	1	𝑘2	𝑘2	PROPN
iajs-3596	86	2	𝑘1	𝑘1	PROPN
iajs-3596	86	3	+	+	CCONJ
iajs-3596	87	1	[	[	X
iajs-3596	87	2	𝛼5	𝛼5	NOUN
iajs-3596	87	3	+	+	CCONJ
iajs-3596	87	4	(	(	PUNCT
iajs-3596	87	5	ℴ3	ℴ3	PROPN
iajs-3596	87	6	−	−	PROPN
iajs-3596	87	7	𝑘2	𝑘2	PROPN
iajs-3596	87	8	𝑘1	𝑘1	PROPN
iajs-3596	87	9	−	−	PROPN
iajs-3596	87	10	𝑘2	𝑘2	PROPN
iajs-3596	87	11	)	)	PUNCT
iajs-3596	87	12	(	(	PUNCT
iajs-3596	87	13	𝛼6	𝛼6	NOUN
iajs-3596	87	14	−	−	NOUN
iajs-3596	87	15	𝛼5	𝛼5	NOUN
iajs-3596	87	16	)	)	PUNCT
iajs-3596	87	17	]	]	PUNCT
iajs-3596	87	18	)	)	PUNCT
iajs-3596	87	19	𝑑ℴ	𝑑ℴ	ADP
iajs-3596	87	20	=	=	SYM
iajs-3596	87	21	𝑘1	𝑘1	PROPN
iajs-3596	87	22	3	3	NUM
iajs-3596	87	23	4	4	NUM
iajs-3596	87	24	(	(	PUNCT
iajs-3596	87	25	𝛼3	𝛼3	ADV
iajs-3596	87	26	−	−	PROPN
iajs-3596	87	27	𝛼2+𝛼5	𝛼2+𝛼5	PROPN
iajs-3596	87	28	−	−	PROPN
iajs-3596	87	29	𝑎6	𝑎6	NOUN
iajs-3596	87	30	)	)	PUNCT
iajs-3596	88	1	+	+	PROPN
iajs-3596	88	2	+	+	PROPN
iajs-3596	88	3	𝑘1	𝑘1	ADJ
iajs-3596	88	4	2𝑘2	2𝑘2	NUM
iajs-3596	88	5	4	4	NUM
iajs-3596	88	6	(	(	PUNCT
iajs-3596	88	7	𝛼3	𝛼3	ADV
iajs-3596	88	8	−	−	PROPN
iajs-3596	88	9	𝛼2+𝛼5	𝛼2+𝛼5	PROPN
iajs-3596	88	10	−	−	PROPN
iajs-3596	88	11	𝛼6	𝛼6	NOUN
iajs-3596	88	12	)	)	PUNCT
iajs-3596	89	1	+	+	PROPN
iajs-3596	89	2	+	+	ADJ
iajs-3596	89	3	𝑘2	𝑘2	PROPN
iajs-3596	89	4	2𝑘1	2𝑘1	NUM
iajs-3596	89	5	4	4	NUM
iajs-3596	89	6	(	(	PUNCT
iajs-3596	89	7	𝛼3	𝛼3	ADV
iajs-3596	89	8	−	−	PROPN
iajs-3596	89	9	𝛼2+𝛼5	𝛼2+𝛼5	PROPN
iajs-3596	89	10	−	−	PROPN
iajs-3596	89	11	𝛼6)−𝑘1(𝛼3+𝛼5	𝛼6)−𝑘1(𝛼3+𝛼5	PROPN
iajs-3596	89	12	)	)	PUNCT
iajs-3596	90	1	+	+	CCONJ
iajs-3596	90	2	𝑘2	𝑘2	PROPN
iajs-3596	90	3	3	3	NUM
iajs-3596	90	4	4	4	NUM
iajs-3596	90	5	(	(	PUNCT
iajs-3596	90	6	𝛼3	𝛼3	ADV
iajs-3596	90	7	−	−	PROPN
iajs-3596	90	8	𝛼2+𝛼5	𝛼2+𝛼5	PROPN
iajs-3596	90	9	−	−	PROPN
iajs-3596	90	10	𝛼6	𝛼6	NOUN
iajs-3596	90	11	)	)	PUNCT
iajs-3596	91	1	+	+	NOUN
iajs-3596	91	2	𝑘2	𝑘2	PROPN
iajs-3596	91	3	(	(	PUNCT
iajs-3596	91	4	𝛼2	𝛼2	PROPN
iajs-3596	91	5	+	+	NUM
iajs-3596	91	6	𝛼6	𝛼6	NOUN
iajs-3596	91	7	)	)	PUNCT
iajs-3596	91	8	(	(	PUNCT
iajs-3596	91	9	3	3	X
iajs-3596	91	10	)	)	PUNCT
iajs-3596	91	11	𝐹3	𝐹3	PROPN
iajs-3596	92	1	=	=	SYM
iajs-3596	92	2	∫	∫	PROPN
iajs-3596	92	3	(	(	PUNCT
iajs-3596	92	4	[	[	X
iajs-3596	92	5	𝛼3	𝛼3	X
iajs-3596	92	6	+	+	CCONJ
iajs-3596	92	7	(	(	PUNCT
iajs-3596	92	8	ℴ3	ℴ3	PROPN
iajs-3596	92	9	−	−	PROPN
iajs-3596	92	10	𝑘2	𝑘2	PROPN
iajs-3596	92	11	𝜔	𝜔	PROPN
iajs-3596	92	12	−	−	PROPN
iajs-3596	92	13	𝑘2	𝑘2	PROPN
iajs-3596	92	14	)	)	PUNCT
iajs-3596	92	15	(	(	PUNCT
iajs-3596	92	16	𝛼4	𝛼4	NOUN
iajs-3596	92	17	−	−	NOUN
iajs-3596	92	18	𝛼3	𝛼3	NOUN
iajs-3596	92	19	)	)	PUNCT
iajs-3596	92	20	]	]	PUNCT
iajs-3596	93	1	𝜔	𝜔	X
iajs-3596	93	2	𝑘2	𝑘2	PROPN
iajs-3596	93	3	+	+	CCONJ
iajs-3596	94	1	[	[	X
iajs-3596	94	2	𝛼4	𝛼4	NOUN
iajs-3596	94	3	+	+	CCONJ
iajs-3596	94	4	(	(	PUNCT
iajs-3596	94	5	ℴ3	ℴ3	NOUN
iajs-3596	94	6	−	−	PROPN
iajs-3596	94	7	𝜔	𝜔	ADP
iajs-3596	94	8	𝑘2	𝑘2	PROPN
iajs-3596	94	9	−	−	PROPN
iajs-3596	94	10	𝜔	𝜔	NOUN
iajs-3596	94	11	)	)	PUNCT
iajs-3596	94	12	(	(	PUNCT
iajs-3596	94	13	𝛼5	𝛼5	ADP
iajs-3596	94	14	−	−	PROPN
iajs-3596	94	15	𝛼4)])𝑑ℴ	𝛼4)])𝑑ℴ	X
iajs-3596	95	1	=	=	SYM
iajs-3596	96	1	𝑘2	𝑘2	PROPN
iajs-3596	96	2	3	3	NUM
iajs-3596	96	3	4	4	NUM
iajs-3596	96	4	(	(	PUNCT
iajs-3596	96	5	2𝛼4	2𝛼4	NUM
iajs-3596	96	6	−	−	PRON
iajs-3596	97	1	𝛼3	𝛼3	NOUN
iajs-3596	97	2	−	−	PROPN
iajs-3596	97	3	𝛼5)+	𝛼5)+	NOUN
iajs-3596	97	4	𝑘2	𝑘2	PROPN
iajs-3596	97	5	2𝜔	2𝜔	NOUN
iajs-3596	97	6	4	4	NUM
iajs-3596	97	7	(	(	PUNCT
iajs-3596	97	8	2𝛼4	2𝛼4	NUM
iajs-3596	97	9	−	−	PRON
iajs-3596	97	10	𝛼3	𝛼3	NOUN
iajs-3596	97	11	−	−	NOUN
iajs-3596	97	12	𝛼5)+	𝛼5)+	NOUN
iajs-3596	97	13	𝑘2𝜔	𝑘2𝜔	PROPN
iajs-3596	97	14	2	2	NUM
iajs-3596	97	15	4	4	NUM
iajs-3596	97	16	(	(	PUNCT
iajs-3596	97	17	2𝛼4	2𝛼4	NUM
iajs-3596	97	18	−	−	NOUN
iajs-3596	97	19	𝛼3	𝛼3	NOUN
iajs-3596	97	20	−	−	PROPN
iajs-3596	97	21	𝛼5)−2𝛼4𝑘2	𝛼5)−2𝛼4𝑘2	NUM
iajs-3596	98	1	+	+	CCONJ
iajs-3596	98	2	𝜔3	𝜔3	NOUN
iajs-3596	98	3	4	4	NUM
iajs-3596	98	4	(	(	PUNCT
iajs-3596	98	5	2𝛼4	2𝛼4	NUM
iajs-3596	98	6	−	−	PRON
iajs-3596	98	7	𝛼3	𝛼3	NOUN
iajs-3596	98	8	−	−	NOUN
iajs-3596	98	9	𝛼5)+	𝛼5)+	NOUN
iajs-3596	98	10	𝜔(𝛼3	𝜔(𝛼3	NOUN
iajs-3596	98	11	+	+	CCONJ
iajs-3596	98	12	𝛼5	𝛼5	NOUN
iajs-3596	98	13	)	)	PUNCT
iajs-3596	98	14	.	.	PUNCT
iajs-3596	99	1	(	(	PUNCT
iajs-3596	99	2	4	4	X
iajs-3596	99	3	)	)	PUNCT
iajs-3596	99	4	now	now	ADV
iajs-3596	99	5	substitute	substitute	NOUN
iajs-3596	99	6	equations	equation	NOUN
iajs-3596	99	7	(	(	PUNCT
iajs-3596	99	8	2	2	NUM
iajs-3596	99	9	)	)	PUNCT
iajs-3596	99	10	,	,	PUNCT
iajs-3596	99	11	(	(	PUNCT
iajs-3596	99	12	3	3	NUM
iajs-3596	99	13	)	)	PUNCT
iajs-3596	99	14	,	,	PUNCT
iajs-3596	99	15	(	(	PUNCT
iajs-3596	99	16	4	4	X
iajs-3596	99	17	)	)	PUNCT
iajs-3596	99	18	in	in	ADP
iajs-3596	99	19	eq	eq	ADP
iajs-3596	99	20	.	.	PUNCT
iajs-3596	100	1	(	(	PUNCT
iajs-3596	100	2	1	1	NUM
iajs-3596	100	3	):	):	PUNCT
iajs-3596	100	4	∴	∴	PROPN
iajs-3596	100	5	𝕽(𝓐𝑯𝑬	𝕽(𝓐𝑯𝑬	PROPN
iajs-3596	100	6	�	�	PROPN
iajs-3596	100	7	̃	̃	PROPN
iajs-3596	100	8	�	�	PROPN
iajs-3596	100	9	)	)	PUNCT
iajs-3596	100	10	=	=	SYM
iajs-3596	100	11	1	1	NUM
iajs-3596	100	12	8	8	NUM
iajs-3596	101	1	[	[	X
iajs-3596	101	2	𝑘1	𝑘1	ADJ
iajs-3596	101	3	3	3	NUM
iajs-3596	101	4	(	(	PUNCT
iajs-3596	101	5	𝛼3	𝛼3	NOUN
iajs-3596	101	6	−	−	PROPN
iajs-3596	101	7	𝛼1	𝛼1	NOUN
iajs-3596	101	8	+	+	CCONJ
iajs-3596	101	9	𝛼5	𝛼5	NOUN
iajs-3596	101	10	–	–	PUNCT
iajs-3596	101	11	𝛼7	𝛼7	NOUN
iajs-3596	101	12	)	)	PUNCT
iajs-3596	101	13	+	+	CCONJ
iajs-3596	101	14	𝑘1	𝑘1	ADJ
iajs-3596	101	15	2𝑘2(𝛼3	2𝑘2(𝛼3	NUM
iajs-3596	101	16	–	–	PUNCT
iajs-3596	101	17	𝛼2+𝛼5	𝛼2+𝛼5	NUM
iajs-3596	101	18	−	−	PROPN
iajs-3596	101	19	𝑎6	𝑎6	NOUN
iajs-3596	101	20	)	)	PUNCT
iajs-3596	101	21	+	+	CCONJ
iajs-3596	101	22	𝑘2	𝑘2	PROPN
iajs-3596	101	23	2𝑘1	2𝑘1	NUM
iajs-3596	101	24	(	(	PUNCT
iajs-3596	101	25	𝛼3	𝛼3	NOUN
iajs-3596	101	26	–	–	PUNCT
iajs-3596	101	27	𝛼2+𝛼5	𝛼2+𝛼5	PROPN
iajs-3596	101	28	−	−	PROPN
iajs-3596	101	29	𝑎6	𝑎6	NOUN
iajs-3596	101	30	)	)	PUNCT
iajs-3596	101	31	+	+	CCONJ
iajs-3596	101	32	𝑘1	𝑘1	PROPN
iajs-3596	101	33	4	4	NUM
iajs-3596	101	34	(	(	PUNCT
iajs-3596	101	35	𝛼1	𝛼1	NOUN
iajs-3596	101	36	–	–	PUNCT
iajs-3596	101	37	𝛼3	𝛼3	NOUN
iajs-3596	101	38	–	–	PUNCT
iajs-3596	101	39	𝛼5	𝛼5	NOUN
iajs-3596	101	40	+	+	CCONJ
iajs-3596	101	41	𝛼7	𝛼7	NUM
iajs-3596	101	42	)	)	PUNCT
iajs-3596	101	43	+	+	CCONJ
iajs-3596	101	44	𝑘2	𝑘2	PROPN
iajs-3596	102	1	3(2𝛼4	3(2𝛼4	ADV
iajs-3596	102	2	−	−	PROPN
iajs-3596	102	3	𝛼2	𝛼2	PROPN
iajs-3596	102	4	−	−	PROPN
iajs-3596	102	5	𝑎6	𝑎6	NOUN
iajs-3596	102	6	)	)	PUNCT
iajs-3596	103	1	+	+	CCONJ
iajs-3596	104	1	𝑘2	𝑘2	PROPN
iajs-3596	104	2	2𝜔(2𝛼4	2𝜔(2𝛼4	NUM
iajs-3596	104	3	−	−	NOUN
iajs-3596	104	4	𝛼3	𝛼3	NOUN
iajs-3596	104	5	−	−	PROPN
iajs-3596	104	6	𝛼5	𝛼5	NOUN
iajs-3596	104	7	)	)	PUNCT
iajs-3596	104	8	+	+	CCONJ
iajs-3596	104	9	𝑘2𝜔	𝑘2𝜔	PROPN
iajs-3596	104	10	2	2	NUM
iajs-3596	104	11	(	(	PUNCT
iajs-3596	104	12	2𝛼4	2𝛼4	NUM
iajs-3596	104	13	−	−	NOUN
iajs-3596	104	14	𝛼3	𝛼3	NOUN
iajs-3596	104	15	−	−	PROPN
iajs-3596	104	16	𝛼5	𝛼5	NOUN
iajs-3596	104	17	)	)	PUNCT
iajs-3596	105	1	+	+	CCONJ
iajs-3596	105	2	𝑘2(4𝛼2	𝑘2(4𝛼2	PROPN
iajs-3596	105	3	−	−	PROPN
iajs-3596	105	4	8𝛼4	8𝛼4	NUM
iajs-3596	105	5	+	+	CCONJ
iajs-3596	105	6	4𝑎6	4𝑎6	NUM
iajs-3596	105	7	)	)	PUNCT
iajs-3596	106	1	+	+	CCONJ
iajs-3596	106	2	𝜔	𝜔	PRON
iajs-3596	106	3	3(2𝛼4	3(2𝛼4	NOUN
iajs-3596	106	4	−	−	NOUN
iajs-3596	106	5	𝛼3	𝛼3	NOUN
iajs-3596	106	6	−	−	PROPN
iajs-3596	106	7	𝛼5	𝛼5	NOUN
iajs-3596	106	8	)	)	PUNCT
iajs-3596	107	1	+	+	CCONJ
iajs-3596	108	1	𝜔(4𝛼3	𝜔(4𝛼3	X
iajs-3596	108	2	+	+	NUM
iajs-3596	108	3	4𝛼5	4𝛼5	NUM
iajs-3596	108	4	)	)	PUNCT
iajs-3596	108	5	]	]	PUNCT
iajs-3596	108	6	0	0	PUNCT
iajs-3596	108	7	<	<	X
iajs-3596	108	8	𝑘1	𝑘1	PROPN
iajs-3596	108	9	<	<	X
iajs-3596	108	10	𝑘2	𝑘2	PROPN
iajs-3596	108	11	<	<	X
iajs-3596	108	12	𝜔	𝜔	X
iajs-3596	108	13	,	,	PUNCT
iajs-3596	108	14	0	0	NUM
iajs-3596	108	15	<	<	X
iajs-3596	108	16	𝜔	𝜔	X
iajs-3596	108	17	≤	≤	NUM
iajs-3596	108	18	1	1	NUM
iajs-3596	108	19	4	4	NUM
iajs-3596	108	20	.	.	PUNCT
iajs-3596	108	21	fuzzy	fuzzy	ADJ
iajs-3596	108	22	mathematical	mathematical	ADJ
iajs-3596	108	23	operations	operation	NOUN
iajs-3596	108	24	of	of	ADP
iajs-3596	108	25	generalized	generalized	ADJ
iajs-3596	108	26	heptagonal	heptagonal	ADJ
iajs-3596	108	27	fuzzy	fuzzy	ADJ
iajs-3596	108	28	numbers	number	NOUN
iajs-3596	108	29	(	(	PUNCT
iajs-3596	108	30	3,4	3,4	NUM
iajs-3596	108	31	)	)	PUNCT
iajs-3596	108	32	let	let	VERB
iajs-3596	108	33	𝒜𝐻𝐸	𝒜𝐻𝐸	PROPN
iajs-3596	108	34	�	�	PROPN
iajs-3596	108	35	̃	̃	PROPN
iajs-3596	108	36	�	�	PROPN
iajs-3596	108	37	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
iajs-3596	108	38	ℬ𝐻𝐸	ℬ𝐻𝐸	PROPN
iajs-3596	108	39	�	�	PROPN
iajs-3596	108	40	̃	̃	PROPN
iajs-3596	108	41	�	�	PROPN
iajs-3596	108	42	be	be	VERB
iajs-3596	108	43	two	two	NUM
iajs-3596	108	44	arbitrary	arbitrary	ADJ
iajs-3596	108	45	generalized	generalized	ADJ
iajs-3596	108	46	heptagonal	heptagonal	ADJ
iajs-3596	108	47	fuzzy	fuzzy	ADJ
iajs-3596	108	48	numbers	number	NOUN
iajs-3596	108	49	,	,	PUNCT
iajs-3596	108	50	such	such	ADJ
iajs-3596	108	51	that	that	SCONJ
iajs-3596	108	52	𝒜𝐻𝐸	𝒜𝐻𝐸	PROPN
iajs-3596	108	53	�	�	PROPN
iajs-3596	108	54	̃	̃	PROPN
iajs-3596	108	55	�	�	PROPN
iajs-3596	108	56	=	=	SYM
iajs-3596	108	57	(	(	PUNCT
iajs-3596	108	58	𝛼1	𝛼1	NOUN
iajs-3596	108	59	,	,	PUNCT
iajs-3596	108	60	𝛼2	𝛼2	ADJ
iajs-3596	108	61	,	,	PUNCT
iajs-3596	108	62	𝛼3	𝛼3	ADV
iajs-3596	108	63	,	,	PUNCT
iajs-3596	108	64	…	…	PUNCT
iajs-3596	108	65	,	,	PUNCT
iajs-3596	108	66	𝛼7	𝛼7	NOUN
iajs-3596	108	67	;	;	PUNCT
iajs-3596	108	68	𝑘1	𝑘1	ADJ
iajs-3596	108	69	,	,	PUNCT
iajs-3596	108	70	𝑙1	𝑙1	PROPN
iajs-3596	108	71	,	,	PUNCT
iajs-3596	108	72	𝜔1	𝜔1	ADJ
iajs-3596	108	73	)	)	PUNCT
iajs-3596	108	74	,	,	PUNCT
iajs-3596	109	1	ℬ𝐻𝐸	ℬ𝐻𝐸	PROPN
iajs-3596	109	2	�	�	PROPN
iajs-3596	109	3	̃	̃	NOUN
iajs-3596	109	4	�	�	NOUN
iajs-3596	109	5	=	=	PUNCT
iajs-3596	109	6	(	(	PUNCT
iajs-3596	109	7	𝑏1	𝑏1	NOUN
iajs-3596	109	8	,	,	PUNCT
iajs-3596	109	9	𝑏2	𝑏2	NOUN
iajs-3596	109	10	,	,	PUNCT
iajs-3596	109	11	𝑏3	𝑏3	NOUN
iajs-3596	109	12	,	,	PUNCT
iajs-3596	109	13	…	…	PUNCT
iajs-3596	109	14	,	,	PUNCT
iajs-3596	109	15	𝑏7	𝑏7	PROPN
iajs-3596	109	16	;	;	PUNCT
iajs-3596	109	17	𝑘2	𝑘2	PROPN
iajs-3596	109	18	,	,	PUNCT
iajs-3596	109	19	𝑙2	𝑙2	PROPN
iajs-3596	109	20	,	,	PUNCT
iajs-3596	109	21	𝜔2	𝜔2	PROPN
iajs-3596	109	22	)	)	PUNCT
iajs-3596	109	23	define	define	VERB
iajs-3596	109	24	the	the	DET
iajs-3596	109	25	addition	addition	NOUN
iajs-3596	109	26	,	,	PUNCT
iajs-3596	109	27	subtraction	subtraction	NOUN
iajs-3596	109	28	,	,	PUNCT
iajs-3596	109	29	and	and	CCONJ
iajs-3596	109	30	multiplication	multiplication	NOUN
iajs-3596	109	31	operations	operation	NOUN
iajs-3596	109	32	[	[	X
iajs-3596	109	33	10	10	NUM
iajs-3596	109	34	]	]	PUNCT
iajs-3596	109	35	as	as	SCONJ
iajs-3596	109	36	follows	follow	VERB
iajs-3596	109	37	:	:	PUNCT
iajs-3596	109	38	•	•	NUM
iajs-3596	109	39	𝒜𝐻𝐸	𝒜𝐻𝐸	PROPN
iajs-3596	109	40	�	�	PROPN
iajs-3596	109	41	̃	̃	PROPN
iajs-3596	109	42	�	�	PROPN
iajs-3596	109	43	⨁ℬ𝐻𝐸	⨁ℬ𝐻𝐸	PROPN
iajs-3596	109	44	�	�	PROPN
iajs-3596	109	45	̃	̃	NOUN
iajs-3596	109	46	�	�	NOUN
iajs-3596	109	47	=	=	SYM
iajs-3596	109	48	(	(	PUNCT
iajs-3596	109	49	𝛼1	𝛼1	NOUN
iajs-3596	109	50	+	+	CCONJ
iajs-3596	109	51	𝑏1	𝑏1	ADJ
iajs-3596	109	52	,	,	PUNCT
iajs-3596	109	53	𝛼2	𝛼2	PROPN
iajs-3596	109	54	+	+	CCONJ
iajs-3596	109	55	𝑏2	𝑏2	NOUN
iajs-3596	109	56	,	,	PUNCT
iajs-3596	109	57	𝛼3	𝛼3	NOUN
iajs-3596	109	58	+	+	CCONJ
iajs-3596	109	59	𝑏3	𝑏3	NOUN
iajs-3596	109	60	,	,	PUNCT
iajs-3596	109	61	…	…	PUNCT
iajs-3596	109	62	,	,	PUNCT
iajs-3596	109	63	𝛼7	𝛼7	ADJ
iajs-3596	109	64	+	+	NUM
iajs-3596	109	65	𝑏7;min(𝑘1	𝑏7;min(𝑘1	NOUN
iajs-3596	109	66	,	,	PUNCT
iajs-3596	109	67	𝑘2	𝑘2	PROPN
iajs-3596	109	68	)	)	PUNCT
iajs-3596	109	69	,	,	PUNCT
iajs-3596	109	70	min(𝑙1	min(𝑙1	PROPN
iajs-3596	109	71	,	,	PUNCT
iajs-3596	109	72	𝑙2	𝑙2	PROPN
iajs-3596	109	73	)	)	PUNCT
iajs-3596	109	74	,	,	PUNCT
iajs-3596	109	75	min	min	PROPN
iajs-3596	109	76	(	(	PUNCT
iajs-3596	109	77	𝜔1	𝜔1	ADJ
iajs-3596	109	78	,	,	PUNCT
iajs-3596	109	79	𝜔2	𝜔2	PROPN
iajs-3596	109	80	)	)	PUNCT
iajs-3596	109	81	)	)	PUNCT
iajs-3596	109	82	•	•	X
iajs-3596	109	83	𝒜𝐻𝐸	𝒜𝐻𝐸	PROPN
iajs-3596	109	84	�	�	PROPN
iajs-3596	109	85	̃	̃	PROPN
iajs-3596	109	86	�	�	PROPN
iajs-3596	109	87	⊖ℬ𝐻𝐸	⊖ℬ𝐻𝐸	PROPN
iajs-3596	109	88	�	�	NOUN
iajs-3596	109	89	̃	̃	PROPN
iajs-3596	109	90	�	�	NOUN
iajs-3596	109	91	=	=	SYM
iajs-3596	109	92	(	(	PUNCT
iajs-3596	109	93	𝛼1	𝛼1	NOUN
iajs-3596	109	94	−	−	PROPN
iajs-3596	109	95	𝑏7	𝑏7	PROPN
iajs-3596	109	96	,	,	PUNCT
iajs-3596	109	97	𝛼2	𝛼2	PROPN
iajs-3596	109	98	−	−	PROPN
iajs-3596	109	99	𝑏6	𝑏6	NOUN
iajs-3596	109	100	,	,	PUNCT
iajs-3596	109	101	𝛼3	𝛼3	ADV
iajs-3596	109	102	−	−	PROPN
iajs-3596	109	103	𝑏5	𝑏5	PROPN
iajs-3596	109	104	,	,	PUNCT
iajs-3596	109	105	…	…	PUNCT
iajs-3596	109	106	,	,	PUNCT
iajs-3596	109	107	𝛼6	𝛼6	PROPN
iajs-3596	109	108	−	−	PROPN
iajs-3596	109	109	𝑏2	𝑏2	PROPN
iajs-3596	109	110	,	,	PUNCT
iajs-3596	109	111	𝛼7	𝛼7	NOUN
iajs-3596	109	112	−	−	NOUN
iajs-3596	109	113	𝑏1;min(𝑘1	𝑏1;min(𝑘1	NOUN
iajs-3596	109	114	,	,	PUNCT
iajs-3596	109	115	𝑘2	𝑘2	PROPN
iajs-3596	109	116	)	)	PUNCT
iajs-3596	109	117	,	,	PUNCT
iajs-3596	109	118	min(𝑙1	min(𝑙1	PROPN
iajs-3596	109	119	,	,	PUNCT
iajs-3596	109	120	𝑙2	𝑙2	PROPN
iajs-3596	109	121	)	)	PUNCT
iajs-3596	109	122	,	,	PUNCT
iajs-3596	109	123	min	min	PROPN
iajs-3596	109	124	(	(	PUNCT
iajs-3596	109	125	𝜔1	𝜔1	ADJ
iajs-3596	109	126	,	,	PUNCT
iajs-3596	109	127	𝜔2	𝜔2	PROPN
iajs-3596	109	128	)	)	PUNCT
iajs-3596	109	129	)	)	PUNCT
iajs-3596	109	130	•	•	X
iajs-3596	109	131	𝒜𝐻𝐸	𝒜𝐻𝐸	PROPN
iajs-3596	109	132	�	�	PROPN
iajs-3596	109	133	̃	̃	PROPN
iajs-3596	109	134	�	�	PROPN
iajs-3596	109	135	⨂ℬ𝐻𝐸	⨂ℬ𝐻𝐸	NOUN
iajs-3596	109	136	�	�	PROPN
iajs-3596	109	137	̃	̃	NOUN
iajs-3596	109	138	�	�	NOUN
iajs-3596	109	139	=	=	SYM
iajs-3596	109	140	(	(	PUNCT
iajs-3596	109	141	𝛼1	𝛼1	NOUN
iajs-3596	109	142	∗	∗	NOUN
iajs-3596	109	143	𝑏1	𝑏1	NOUN
iajs-3596	109	144	,	,	PUNCT
iajs-3596	109	145	𝛼2	𝛼2	PROPN
iajs-3596	109	146	∗	∗	NOUN
iajs-3596	109	147	𝑏2	𝑏2	PROPN
iajs-3596	109	148	,	,	PUNCT
iajs-3596	109	149	…	…	PUNCT
iajs-3596	109	150	,	,	PUNCT
iajs-3596	109	151	,	,	PUNCT
iajs-3596	109	152	𝛼7	𝛼7	NOUN
iajs-3596	109	153	∗	∗	NOUN
iajs-3596	109	154	𝑏7	𝑏7	NOUN
iajs-3596	109	155	;	;	PUNCT
iajs-3596	109	156	min(𝑘1	min(𝑘1	PROPN
iajs-3596	109	157	,	,	PUNCT
iajs-3596	109	158	𝑘2	𝑘2	PROPN
iajs-3596	109	159	)	)	PUNCT
iajs-3596	109	160	,	,	PUNCT
iajs-3596	109	161	min(𝑙1	min(𝑙1	PROPN
iajs-3596	109	162	,	,	PUNCT
iajs-3596	109	163	𝑙2	𝑙2	PROPN
iajs-3596	109	164	)	)	PUNCT
iajs-3596	109	165	,	,	PUNCT
iajs-3596	109	166	min	min	PROPN
iajs-3596	109	167	(	(	PUNCT
iajs-3596	109	168	𝜔1	𝜔1	ADJ
iajs-3596	109	169	,	,	PUNCT
iajs-3596	109	170	𝜔2	𝜔2	PROPN
iajs-3596	109	171	)	)	PUNCT
iajs-3596	109	172	)	)	PUNCT
iajs-3596	109	173	ihjpas	ihjpas	PROPN
iajs-3596	109	174	.	.	PUNCT
iajs-3596	110	1	2025	2025	NUM
iajs-3596	110	2	,	,	PUNCT
iajs-3596	110	3	38	38	NUM
iajs-3596	110	4	(	(	PUNCT
iajs-3596	110	5	1	1	NUM
iajs-3596	110	6	)	)	SYM
iajs-3596	110	7	422	422	NUM
iajs-3596	110	8	•	•	NOUN
iajs-3596	110	9	ℷ⨂𝒜𝐻𝐸	ℷ⨂𝒜𝐻𝐸	ADJ
iajs-3596	110	10	�	�	PROPN
iajs-3596	110	11	̃	̃	NOUN
iajs-3596	110	12	�	�	NOUN
iajs-3596	110	13	=	=	SYM
iajs-3596	110	14	(	(	PUNCT
iajs-3596	110	15	ℷ𝛼1	ℷ𝛼1	NOUN
iajs-3596	110	16	,	,	PUNCT
iajs-3596	110	17	ℷ𝛼2	ℷ𝛼2	NOUN
iajs-3596	110	18	,	,	PUNCT
iajs-3596	110	19	ℷ𝛼3	ℷ𝛼3	PROPN
iajs-3596	110	20	,	,	PUNCT
iajs-3596	110	21	…	…	PUNCT
iajs-3596	110	22	,	,	PUNCT
iajs-3596	110	23	ℷ𝛼7	ℷ𝛼7	ADV
iajs-3596	110	24	;	;	PUNCT
iajs-3596	110	25	𝑘1	𝑘1	ADJ
iajs-3596	110	26	,	,	PUNCT
iajs-3596	110	27	𝑙1	𝑙1	PROPN
iajs-3596	110	28	,	,	PUNCT
iajs-3596	110	29	𝜔1	𝜔1	PROPN
iajs-3596	110	30	)	)	PUNCT
iajs-3596	110	31	𝑖𝑓	𝑖𝑓	ADP
iajs-3596	111	1	ℷ	ℷ	PROPN
iajs-3596	111	2	>	>	X
iajs-3596	111	3	0	0	PUNCT
iajs-3596	112	1	=	=	SYM
iajs-3596	112	2	(	(	PUNCT
iajs-3596	112	3	ℷ𝛼7	ℷ𝛼7	ADV
iajs-3596	112	4	,	,	PUNCT
iajs-3596	112	5	ℷ𝛼6	ℷ𝛼6	NOUN
iajs-3596	112	6	,	,	PUNCT
iajs-3596	112	7	ℷ𝛼5	ℷ𝛼5	VERB
iajs-3596	112	8	,	,	PUNCT
iajs-3596	112	9	ℷ𝛼4	ℷ𝛼4	NOUN
iajs-3596	112	10	,	,	PUNCT
iajs-3596	112	11	ℷ𝛼3	ℷ𝛼3	PROPN
iajs-3596	112	12	,	,	PUNCT
iajs-3596	112	13	ℷ𝛼2	ℷ𝛼2	NOUN
iajs-3596	112	14	,	,	PUNCT
iajs-3596	112	15	ℷ𝛼1	ℷ𝛼1	NOUN
iajs-3596	112	16	;	;	PUNCT
iajs-3596	112	17	𝑘1	𝑘1	ADJ
iajs-3596	112	18	,	,	PUNCT
iajs-3596	112	19	𝑙1	𝑙1	PROPN
iajs-3596	112	20	,	,	PUNCT
iajs-3596	112	21	𝜔1	𝜔1	PROPN
iajs-3596	112	22	)	)	PUNCT
iajs-3596	112	23	𝑖𝑓	𝑖𝑓	ADP
iajs-3596	113	1	ℷ	ℷ	X
iajs-3596	113	2	<	<	X
iajs-3596	113	3	0	0	NUM
iajs-3596	113	4	5	5	NUM
iajs-3596	113	5	.	.	PUNCT
iajs-3596	113	6	fully	fully	ADV
iajs-3596	113	7	fuzzy	fuzzy	ADJ
iajs-3596	113	8	linear	linear	ADJ
iajs-3596	113	9	fractional	fractional	ADJ
iajs-3596	113	10	programming	programming	NOUN
iajs-3596	113	11	problem	problem	NOUN
iajs-3596	113	12	(	(	PUNCT
iajs-3596	113	13	fflfpp	fflfpp	ADJ
iajs-3596	113	14	)	)	PUNCT
iajs-3596	113	15	(	(	PUNCT
iajs-3596	113	16	9),(20	9),(20	NUM
iajs-3596	113	17	)	)	PUNCT
iajs-3596	113	18	consider	consider	VERB
iajs-3596	113	19	the	the	DET
iajs-3596	113	20	following	follow	VERB
iajs-3596	113	21	fflfp	fflfp	NOUN
iajs-3596	113	22	problem	problem	NOUN
iajs-3596	113	23	having	have	VERB
iajs-3596	113	24	m	m	NOUN
iajs-3596	113	25	fuzzy	fuzzy	ADJ
iajs-3596	113	26	constraints	constraint	NOUN
iajs-3596	113	27	and	and	CCONJ
iajs-3596	113	28	n	n	DET
iajs-3596	113	29	fuzzy	fuzzy	ADJ
iajs-3596	113	30	variables	variable	NOUN
iajs-3596	113	31	:	:	PUNCT
iajs-3596	114	1	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	114	2	�	�	PROPN
iajs-3596	114	3	̃	̃	PROPN
iajs-3596	114	4	�	�	PROPN
iajs-3596	114	5	≅	≅	PROPN
iajs-3596	114	6	�	�	PROPN
iajs-3596	114	7	̃	̃	PROPN
iajs-3596	114	8	�	�	PROPN
iajs-3596	114	9	𝑇	𝑇	PROPN
iajs-3596	114	10	�	�	PROPN
iajs-3596	114	11	̃	̃	PROPN
iajs-3596	114	12	�	�	PROPN
iajs-3596	114	13	⨁	⨁	PROPN
iajs-3596	114	14	�	�	PROPN
iajs-3596	114	15	̃	̃	PROPN
iajs-3596	114	16	�	�	PROPN
iajs-3596	114	17	�	�	PROPN
iajs-3596	114	18	̃	̃	PROPN
iajs-3596	114	19	�	�	PROPN
iajs-3596	114	20	𝑇	𝑇	PROPN
iajs-3596	114	21	�	�	PROPN
iajs-3596	114	22	̃	̃	PROPN
iajs-3596	114	23	�	�	PROPN
iajs-3596	114	24	⨁	⨁	PROPN
iajs-3596	114	25	�	�	PROPN
iajs-3596	114	26	̃	̃	PROPN
iajs-3596	114	27	�	�	PROPN
iajs-3596	114	28	=	=	SYM
iajs-3596	114	29	�	�	PROPN
iajs-3596	114	30	̃	̃	PROPN
iajs-3596	114	31	�	�	PROPN
iajs-3596	114	32	(𝑥	(𝑥	NOUN
iajs-3596	114	33	)	)	PUNCT
iajs-3596	114	34	�	�	PROPN
iajs-3596	114	35	̃	̃	PROPN
iajs-3596	114	36	�	�	PROPN
iajs-3596	114	37	(𝑥	(𝑥	NOUN
iajs-3596	114	38	)	)	PUNCT
iajs-3596	114	39	𝑆.	𝑆.	PROPN
iajs-3596	114	40	𝑡𝑜	𝑡𝑜	PROPN
iajs-3596	114	41	�	�	PROPN
iajs-3596	114	42	̃	̃	PROPN
iajs-3596	114	43	�	�	PROPN
iajs-3596	114	44	⨂	⨂	NOUN
iajs-3596	114	45	�	�	NOUN
iajs-3596	114	46	̃	̃	PROPN
iajs-3596	114	47	�	�	PROPN
iajs-3596	114	48	≤=≥	≤=≥	PROPN
iajs-3596	114	49	�	�	PROPN
iajs-3596	114	50	̃	̃	PROPN
iajs-3596	114	51	�	�	PROPN
iajs-3596	114	52	,	,	PUNCT
iajs-3596	114	53	�	�	PROPN
iajs-3596	114	54	̃	̃	PROPN
iajs-3596	114	55	�	�	PROPN
iajs-3596	114	56	≥	≥	NUM
iajs-3596	114	57	0̃	0̃	NOUN
iajs-3596	114	58	where	where	SCONJ
iajs-3596	114	59	,	,	PUNCT
iajs-3596	114	60	�	�	PROPN
iajs-3596	114	61	̃	̃	PROPN
iajs-3596	114	62	�	�	NOUN
iajs-3596	114	63	𝑇	𝑇	NOUN
iajs-3596	114	64	=	=	SYM
iajs-3596	114	65	(	(	PUNCT
iajs-3596	114	66	�	�	PROPN
iajs-3596	114	67	̃	̃	PROPN
iajs-3596	114	68	�	�	PROPN
iajs-3596	114	69	𝑗)1∗𝑛	𝑗)1∗𝑛	PROPN
iajs-3596	114	70	,	,	PUNCT
iajs-3596	114	71	�	�	PROPN
iajs-3596	114	72	̃	̃	PROPN
iajs-3596	114	73	�	�	PROPN
iajs-3596	114	74	𝑇=(	𝑇=(	SYM
iajs-3596	114	75	�	�	PROPN
iajs-3596	114	76	̃	̃	PROPN
iajs-3596	114	77	�	�	PROPN
iajs-3596	114	78	𝑗)1∗𝑛	𝑗)1∗𝑛	PROPN
iajs-3596	114	79	,	,	PUNCT
iajs-3596	114	80	�	�	PROPN
iajs-3596	114	81	̃	̃	NOUN
iajs-3596	114	82	�	�	NOUN
iajs-3596	114	83	=	=	SYM
iajs-3596	114	84	(	(	PUNCT
iajs-3596	114	85	�	�	PROPN
iajs-3596	114	86	̃	̃	PROPN
iajs-3596	114	87	�	�	NOUN
iajs-3596	114	88	𝑗)𝑛∗1	𝑗)𝑛∗1	NOUN
iajs-3596	114	89	,	,	PUNCT
iajs-3596	114	90	𝛽	𝛽	NOUN
iajs-3596	114	91	,	,	PUNCT
iajs-3596	114	92	𝛿	𝛿	DET
iajs-3596	114	93	∈	∈	ADJ
iajs-3596	114	94	heptagonal	heptagonal	ADJ
iajs-3596	114	95	fuzzy	fuzzy	ADJ
iajs-3596	114	96	numbers	number	NOUN
iajs-3596	114	97	.	.	PUNCT
iajs-3596	115	1	�	�	PROPN
iajs-3596	115	2	̃	̃	PROPN
iajs-3596	115	3	�	�	PROPN
iajs-3596	115	4	=	=	SYM
iajs-3596	115	5	(	(	PUNCT
iajs-3596	115	6	�	�	PROPN
iajs-3596	115	7	̃	̃	NOUN
iajs-3596	115	8	�	�	PROPN
iajs-3596	115	9	𝑖𝑗)𝑚∗𝑛	𝑖𝑗)𝑚∗𝑛	PROPN
iajs-3596	115	10	,	,	PUNCT
iajs-3596	115	11	�	�	PROPN
iajs-3596	115	12	̃	̃	PROPN
iajs-3596	115	13	�	�	NOUN
iajs-3596	115	14	=(	=(	PROPN
iajs-3596	115	15	�	�	PROPN
iajs-3596	115	16	̃	̃	PROPN
iajs-3596	115	17	�	�	PROPN
iajs-3596	115	18	𝑖)𝑚∗1	𝑖)𝑚∗1	NUM
iajs-3596	115	19	.	.	PUNCT
iajs-3596	115	20	�	�	PROPN
iajs-3596	115	21	̃	̃	PROPN
iajs-3596	115	22	�	�	PROPN
iajs-3596	115	23	𝑇	𝑇	PROPN
iajs-3596	115	24	,	,	PUNCT
iajs-3596	115	25	�	�	PROPN
iajs-3596	115	26	̃	̃	PROPN
iajs-3596	115	27	�	�	PROPN
iajs-3596	115	28	𝑇	𝑇	PROPN
iajs-3596	115	29	,	,	PUNCT
iajs-3596	115	30	�	�	PROPN
iajs-3596	115	31	̃	̃	PROPN
iajs-3596	115	32	�	�	PROPN
iajs-3596	115	33	,	,	PUNCT
iajs-3596	115	34	�	�	PROPN
iajs-3596	115	35	̃	̃	PROPN
iajs-3596	115	36	�	�	PROPN
iajs-3596	115	37	,	,	PUNCT
iajs-3596	115	38	�	�	PROPN
iajs-3596	115	39	̃	̃	PROPN
iajs-3596	115	40	�	�	PROPN
iajs-3596	115	41	are	be	AUX
iajs-3596	115	42	heptagonal	heptagonal	ADJ
iajs-3596	115	43	fuzzy	fuzzy	ADJ
iajs-3596	115	44	numbers	number	NOUN
iajs-3596	115	45	∀	∀	X
iajs-3596	115	46	1	1	NUM
iajs-3596	115	47	≤	≤	NUM
iajs-3596	115	48	𝑗	𝑗	PRON
iajs-3596	115	49	≤	≤	NUM
iajs-3596	115	50	𝑛	𝑛	NOUN
iajs-3596	115	51	,	,	PUNCT
iajs-3596	115	52	1	1	NUM
iajs-3596	115	53	≤	≤	NUM
iajs-3596	115	54	𝑖	𝑖	SYM
iajs-3596	115	55	≤	≤	NUM
iajs-3596	115	56	𝑚	𝑚	ADP
iajs-3596	115	57	6	6	NUM
iajs-3596	115	58	.	.	PUNCT
iajs-3596	116	1	the	the	DET
iajs-3596	116	2	algorithm	algorithm	NOUN
iajs-3596	116	3	of	of	ADP
iajs-3596	116	4	fully	fully	ADV
iajs-3596	116	5	fuzzy	fuzzy	ADJ
iajs-3596	116	6	simplex	simplex	NOUN
iajs-3596	116	7	(	(	PUNCT
iajs-3596	116	8	ffs	ffs	NOUN
iajs-3596	116	9	)	)	PUNCT
iajs-3596	116	10	method	method	NOUN
iajs-3596	116	11	.	.	PUNCT
iajs-3596	117	1	step	step	NOUN
iajs-3596	117	2	1	1	NUM
iajs-3596	117	3	:	:	PUNCT
iajs-3596	117	4	use	use	VERB
iajs-3596	117	5	the	the	DET
iajs-3596	117	6	development	development	NOUN
iajs-3596	117	7	complementary	complementary	ADJ
iajs-3596	117	8	method	method	NOUN
iajs-3596	117	9	(	(	PUNCT
iajs-3596	117	10	21,22	21,22	NOUN
iajs-3596	117	11	)	)	PUNCT
iajs-3596	117	12	to	to	PART
iajs-3596	117	13	convert	convert	VERB
iajs-3596	117	14	the	the	DET
iajs-3596	117	15	fflfpp	fflfpp	NOUN
iajs-3596	117	16	into	into	ADP
iajs-3596	117	17	fflpp	fflpp	NOUN
iajs-3596	117	18	.	.	PUNCT
iajs-3596	118	1	step	step	NOUN
iajs-3596	118	2	2	2	NUM
iajs-3596	118	3	:	:	PUNCT
iajs-3596	118	4	adding	add	VERB
iajs-3596	118	5	fuzzy	fuzzy	ADJ
iajs-3596	118	6	slack	slack	NOUN
iajs-3596	118	7	variables	variable	NOUN
iajs-3596	118	8	�	�	PROPN
iajs-3596	118	9	̃	̃	PROPN
iajs-3596	118	10	�	�	NOUN
iajs-3596	118	11	𝑖	𝑖	NUM
iajs-3596	118	12	,	,	PUNCT
iajs-3596	118	13	𝑖	𝑖	NOUN
iajs-3596	118	14	=	=	SYM
iajs-3596	118	15	1	1	NUM
iajs-3596	118	16	,	,	PUNCT
iajs-3596	118	17	2	2	NUM
iajs-3596	118	18	,	,	PUNCT
iajs-3596	118	19	…	…	PUNCT
iajs-3596	118	20	,	,	PUNCT
iajs-3596	118	21	𝑚	𝑚	X
iajs-3596	118	22	to	to	PART
iajs-3596	118	23	convert	convert	VERB
iajs-3596	118	24	all	all	DET
iajs-3596	118	25	the	the	DET
iajs-3596	118	26	inequalities	inequality	NOUN
iajs-3596	118	27	of	of	ADP
iajs-3596	118	28	the	the	DET
iajs-3596	118	29	constraints	constraint	NOUN
iajs-3596	118	30	into	into	ADP
iajs-3596	118	31	equations	equation	NOUN
iajs-3596	118	32	.	.	PUNCT
iajs-3596	119	1	step	step	NOUN
iajs-3596	119	2	3	3	NUM
iajs-3596	119	3	:	:	PUNCT
iajs-3596	119	4	construct	construct	VERB
iajs-3596	119	5	the	the	DET
iajs-3596	119	6	fully	fully	ADV
iajs-3596	119	7	fuzzy	fuzzy	ADJ
iajs-3596	119	8	simplex	simplex	NOUN
iajs-3596	119	9	tableau	tableau	NOUN
iajs-3596	119	10	as	as	SCONJ
iajs-3596	119	11	shown	show	VERB
iajs-3596	119	12	in	in	ADP
iajs-3596	119	13	table	table	NOUN
iajs-3596	119	14	1	1	NUM
iajs-3596	119	15	.	.	PUNCT
iajs-3596	119	16	:	:	PUNCT
iajs-3596	120	1	table	table	NOUN
iajs-3596	120	2	1	1	NUM
iajs-3596	120	3	.	.	PUNCT
iajs-3596	120	4	ffs	ffs	PROPN
iajs-3596	120	5	method	method	PROPN
iajs-3596	120	6	tableau	tableau	PROPN
iajs-3596	120	7	basic	basic	ADJ
iajs-3596	120	8	var	var	NOUN
iajs-3596	120	9	.	.	PUNCT
iajs-3596	121	1	�	�	PROPN
iajs-3596	121	2	̃	̃	PROPN
iajs-3596	121	3	�	�	PROPN
iajs-3596	121	4	1	1	NUM
iajs-3596	121	5	�	�	PROPN
iajs-3596	121	6	̃	̃	PROPN
iajs-3596	121	7	�	�	NOUN
iajs-3596	121	8	2	2	NUM
iajs-3596	121	9	…	…	SYM
iajs-3596	121	10	�	�	PROPN
iajs-3596	121	11	̃	̃	NOUN
iajs-3596	121	12	�	�	PROPN
iajs-3596	121	13	𝑛	𝑛	PRON
iajs-3596	121	14	�	�	PROPN
iajs-3596	121	15	̃	̃	PROPN
iajs-3596	121	16	�	�	PROPN
iajs-3596	121	17	1	1	NUM
iajs-3596	121	18	�	�	PROPN
iajs-3596	121	19	̃	̃	PROPN
iajs-3596	121	20	�	�	NOUN
iajs-3596	121	21	2	2	NUM
iajs-3596	121	22	…	…	SYM
iajs-3596	121	23	�	�	SYM
iajs-3596	121	24	̃	̃	NOUN
iajs-3596	121	25	�	�	NOUN
iajs-3596	121	26	𝑛	𝑛	PRON
iajs-3596	121	27	r.h.s	r.h.s	ADJ
iajs-3596	121	28	ℜ(𝑅.𝐻.	ℜ(𝑅.𝐻.	PROPN
iajs-3596	121	29	𝑆	𝑆	PROPN
iajs-3596	121	30	)	)	PUNCT
iajs-3596	121	31	(	(	PUNCT
iajs-3596	121	32	�	�	PROPN
iajs-3596	121	33	̃	̃	ADP
iajs-3596	121	34	�	�	PROPN
iajs-3596	121	35	⊖	⊖	SYM
iajs-3596	121	36	�	�	PROPN
iajs-3596	121	37	̃	̃	PROPN
iajs-3596	121	38	�	�	NOUN
iajs-3596	121	39	𝑗	𝑗	NOUN
iajs-3596	121	40	)	)	PUNCT
iajs-3596	121	41	−	−	PROPN
iajs-3596	121	42	�	�	PROPN
iajs-3596	121	43	̃	̃	NOUN
iajs-3596	121	44	�	�	NOUN
iajs-3596	121	45	1	1	NUM
iajs-3596	121	46	−	−	PROPN
iajs-3596	121	47	�	�	PROPN
iajs-3596	121	48	̃	̃	NOUN
iajs-3596	121	49	�	�	NOUN
iajs-3596	121	50	2	2	NUM
iajs-3596	121	51	…	…	PUNCT
iajs-3596	121	52	−	−	PROPN
iajs-3596	121	53	�	�	PROPN
iajs-3596	121	54	̃	̃	PROPN
iajs-3596	121	55	�	�	NOUN
iajs-3596	121	56	𝑛	𝑛	PRON
iajs-3596	121	57	(	(	PUNCT
iajs-3596	121	58	0,0,	0,0,	NOUN
iajs-3596	121	59	…	…	PUNCT
iajs-3596	121	60	,0	,0	NUM
iajs-3596	121	61	)	)	PUNCT
iajs-3596	121	62	(	(	PUNCT
iajs-3596	121	63	0,0,	0,0,	NOUN
iajs-3596	121	64	…	…	PUNCT
iajs-3596	121	65	,0	,0	NUM
iajs-3596	121	66	)	)	PUNCT
iajs-3596	121	67	…	…	PUNCT
iajs-3596	121	68	(	(	PUNCT
iajs-3596	121	69	0,0,	0,0,	NOUN
iajs-3596	121	70	…	…	SYM
iajs-3596	121	71	,0	,0	PUNCT
iajs-3596	121	72	)	)	PUNCT
iajs-3596	121	73	𝛽𝑛	𝛽𝑛	PROPN
iajs-3596	121	74	ℜ(𝛽𝑛	ℜ(𝛽𝑛	PROPN
iajs-3596	121	75	)	)	PUNCT
iajs-3596	121	76	�	�	PROPN
iajs-3596	121	77	̃	̃	PROPN
iajs-3596	121	78	�	�	PROPN
iajs-3596	121	79	𝟏	𝟏	PROPN
iajs-3596	121	80	�	�	PROPN
iajs-3596	121	81	̃	̃	PROPN
iajs-3596	121	82	�	�	PROPN
iajs-3596	121	83	11	11	NUM
iajs-3596	121	84	�	�	PROPN
iajs-3596	121	85	̃	̃	PROPN
iajs-3596	121	86	�	�	PROPN
iajs-3596	121	87	12	12	NUM
iajs-3596	121	88	…	…	PUNCT
iajs-3596	121	89	�	�	SYM
iajs-3596	121	90	̃	̃	PROPN
iajs-3596	121	91	�	�	NOUN
iajs-3596	121	92	1𝑛	1𝑛	NOUN
iajs-3596	121	93	(	(	PUNCT
iajs-3596	121	94	0,0,	0,0,	NOUN
iajs-3596	121	95	...	...	PUNCT
iajs-3596	121	96	,1	,1	PROPN
iajs-3596	121	97	)	)	PUNCT
iajs-3596	122	1	(	(	PUNCT
iajs-3596	122	2	0,0,	0,0,	NOUN
iajs-3596	122	3	…	…	PUNCT
iajs-3596	122	4	,0	,0	NUM
iajs-3596	122	5	)	)	PUNCT
iajs-3596	122	6	…	…	PUNCT
iajs-3596	122	7	(	(	PUNCT
iajs-3596	122	8	0,0,	0,0,	NOUN
iajs-3596	122	9	…	…	SYM
iajs-3596	122	10	,0	,0	ADJ
iajs-3596	122	11	)	)	PUNCT
iajs-3596	122	12	�	�	PROPN
iajs-3596	122	13	̃	̃	PROPN
iajs-3596	122	14	�	�	SYM
iajs-3596	122	15	1	1	NUM
iajs-3596	122	16	ℜ(	ℜ(	PROPN
iajs-3596	122	17	�	�	PROPN
iajs-3596	122	18	̃	̃	NOUN
iajs-3596	122	19	�	�	NOUN
iajs-3596	122	20	1	1	NUM
iajs-3596	122	21	)	)	PUNCT
iajs-3596	122	22	�	�	PROPN
iajs-3596	122	23	̃	̃	PROPN
iajs-3596	122	24	�	�	PROPN
iajs-3596	122	25	𝟐	𝟐	NUM
iajs-3596	122	26	�	�	PROPN
iajs-3596	122	27	̃	̃	PROPN
iajs-3596	122	28	�	�	PROPN
iajs-3596	122	29	21	21	NUM
iajs-3596	122	30	�	�	PROPN
iajs-3596	122	31	̃	̃	PROPN
iajs-3596	122	32	�	�	PROPN
iajs-3596	122	33	22	22	NUM
iajs-3596	122	34	…	…	PUNCT
iajs-3596	122	35	�	�	PROPN
iajs-3596	122	36	̃	̃	PROPN
iajs-3596	122	37	�	�	PROPN
iajs-3596	122	38	2𝑛	2𝑛	PROPN
iajs-3596	122	39	(	(	PUNCT
iajs-3596	122	40	0,0,	0,0,	NOUN
iajs-3596	122	41	…	…	PUNCT
iajs-3596	122	42	,0	,0	NUM
iajs-3596	122	43	)	)	PUNCT
iajs-3596	122	44	(	(	PUNCT
iajs-3596	122	45	0,0,	0,0,	NOUN
iajs-3596	122	46	…	…	SYM
iajs-3596	122	47	,1	,1	NOUN
iajs-3596	122	48	)	)	PUNCT
iajs-3596	122	49	…	…	PUNCT
iajs-3596	122	50	(	(	PUNCT
iajs-3596	122	51	0,0,	0,0,	NOUN
iajs-3596	122	52	…	…	SYM
iajs-3596	122	53	,0	,0	ADJ
iajs-3596	122	54	)	)	PUNCT
iajs-3596	122	55	�	�	PROPN
iajs-3596	122	56	̃	̃	PROPN
iajs-3596	122	57	�	�	SYM
iajs-3596	122	58	2	2	NUM
iajs-3596	122	59	ℜ(	ℜ(	X
iajs-3596	122	60	�	�	PROPN
iajs-3596	122	61	̃	̃	NOUN
iajs-3596	122	62	�	�	NOUN
iajs-3596	122	63	2	2	NUM
iajs-3596	122	64	)	)	PUNCT
iajs-3596	122	65	⋮	⋮	NOUN
iajs-3596	122	66	⋮	⋮	ADJ
iajs-3596	122	67	⋮	⋮	NOUN
iajs-3596	122	68	…	…	PUNCT
iajs-3596	122	69	⋮	⋮	ADJ
iajs-3596	122	70	⋮	⋮	NOUN
iajs-3596	122	71	…	…	PUNCT
iajs-3596	122	72	⋮	⋮	NOUN
iajs-3596	122	73	⋮	⋮	ADJ
iajs-3596	122	74	⋮	⋮	PROPN
iajs-3596	122	75	�	�	PROPN
iajs-3596	122	76	̃	̃	PROPN
iajs-3596	122	77	�	�	PROPN
iajs-3596	122	78	𝒎	𝒎	PROPN
iajs-3596	122	79	�	�	PROPN
iajs-3596	122	80	̃	̃	PROPN
iajs-3596	122	81	�	�	PROPN
iajs-3596	122	82	𝑚1	𝑚1	PROPN
iajs-3596	122	83	�	�	PROPN
iajs-3596	122	84	̃	̃	PROPN
iajs-3596	122	85	�	�	NOUN
iajs-3596	122	86	𝑚2	𝑚2	NOUN
iajs-3596	122	87	…	…	PUNCT
iajs-3596	122	88	�	�	SYM
iajs-3596	122	89	̃	̃	PROPN
iajs-3596	122	90	�	�	PROPN
iajs-3596	122	91	𝑚𝑛	𝑚𝑛	PROPN
iajs-3596	122	92	(	(	PUNCT
iajs-3596	122	93	0,0,	0,0,	NOUN
iajs-3596	122	94	…	…	PUNCT
iajs-3596	122	95	,0	,0	NUM
iajs-3596	122	96	)	)	PUNCT
iajs-3596	122	97	(	(	PUNCT
iajs-3596	122	98	0,0,	0,0,	NOUN
iajs-3596	122	99	…	…	PUNCT
iajs-3596	122	100	,0	,0	NUM
iajs-3596	122	101	)	)	PUNCT
iajs-3596	122	102	…	…	PUNCT
iajs-3596	122	103	(	(	PUNCT
iajs-3596	122	104	0,0,	0,0,	NOUN
iajs-3596	122	105	…	…	SYM
iajs-3596	122	106	,1	,1	NOUN
iajs-3596	122	107	)	)	PUNCT
iajs-3596	122	108	�	�	PROPN
iajs-3596	122	109	̃	̃	PROPN
iajs-3596	122	110	�	�	PROPN
iajs-3596	122	111	𝑚	𝑚	PROPN
iajs-3596	122	112	ℜ(	ℜ(	PROPN
iajs-3596	122	113	�	�	PROPN
iajs-3596	122	114	̃	̃	PROPN
iajs-3596	122	115	�	�	NOUN
iajs-3596	122	116	𝑚	𝑚	NOUN
iajs-3596	122	117	)	)	PUNCT
iajs-3596	122	118	step	step	NOUN
iajs-3596	122	119	4	4	NUM
iajs-3596	122	120	:	:	PUNCT
iajs-3596	122	121	in	in	ADP
iajs-3596	122	122	the	the	DET
iajs-3596	122	123	maximization	maximization	NOUN
iajs-3596	122	124	problem	problem	NOUN
iajs-3596	122	125	,	,	PUNCT
iajs-3596	122	126	select	select	VERB
iajs-3596	122	127	the	the	DET
iajs-3596	122	128	most	most	ADV
iajs-3596	122	129	negative	negative	ADJ
iajs-3596	122	130	value	value	NOUN
iajs-3596	122	131	of	of	ADP
iajs-3596	122	132	ℜ(	ℜ(	ADJ
iajs-3596	122	133	�	�	PROPN
iajs-3596	122	134	̃	̃	PROPN
iajs-3596	122	135	�	�	PROPN
iajs-3596	122	136	⊖	⊖	SYM
iajs-3596	122	137	�	�	PROPN
iajs-3596	122	138	̃	̃	PROPN
iajs-3596	122	139	�	�	NOUN
iajs-3596	122	140	𝑗	𝑗	NOUN
iajs-3596	122	141	)	)	PUNCT
iajs-3596	122	142	as	as	ADP
iajs-3596	122	143	a	a	DET
iajs-3596	122	144	fuzzy	fuzzy	ADJ
iajs-3596	122	145	entering	enter	VERB
iajs-3596	122	146	variable	variable	NOUN
iajs-3596	122	147	,	,	PUNCT
iajs-3596	122	148	and	and	CCONJ
iajs-3596	122	149	if	if	SCONJ
iajs-3596	122	150	the	the	DET
iajs-3596	122	151	problem	problem	NOUN
iajs-3596	122	152	is	be	AUX
iajs-3596	122	153	minimum	minimum	ADJ
iajs-3596	122	154	,	,	PUNCT
iajs-3596	122	155	the	the	DET
iajs-3596	122	156	most	most	ADV
iajs-3596	122	157	positive	positive	ADJ
iajs-3596	122	158	value	value	NOUN
iajs-3596	122	159	of	of	ADP
iajs-3596	122	160	the	the	DET
iajs-3596	122	161	ℜ(	ℜ(	ADJ
iajs-3596	122	162	�	�	PROPN
iajs-3596	122	163	̃	̃	PROPN
iajs-3596	122	164	�	�	PROPN
iajs-3596	122	165	⊖	⊖	SYM
iajs-3596	122	166	�	�	PROPN
iajs-3596	122	167	̃	̃	PROPN
iajs-3596	122	168	�	�	NOUN
iajs-3596	122	169	𝑗	𝑗	NOUN
iajs-3596	122	170	)	)	PUNCT
iajs-3596	122	171	represents	represent	VERB
iajs-3596	122	172	the	the	DET
iajs-3596	122	173	entering	enter	VERB
iajs-3596	122	174	fuzzy	fuzzy	ADJ
iajs-3596	122	175	variable	variable	NOUN
iajs-3596	122	176	.	.	PUNCT
iajs-3596	123	1	step	step	NOUN
iajs-3596	123	2	5	5	NUM
iajs-3596	123	3	:	:	PUNCT
iajs-3596	123	4	determine	determine	VERB
iajs-3596	123	5	the	the	DET
iajs-3596	123	6	fuzzy	fuzzy	ADJ
iajs-3596	123	7	variable	variable	NOUN
iajs-3596	123	8	that	that	PRON
iajs-3596	123	9	leaves	leave	VERB
iajs-3596	123	10	the	the	DET
iajs-3596	123	11	basic	basic	ADJ
iajs-3596	123	12	solution	solution	NOUN
iajs-3596	123	13	by	by	ADP
iajs-3596	123	14	:	:	PUNCT
iajs-3596	123	15	𝜃	𝜃	PROPN
iajs-3596	123	16	=	=	SYM
iajs-3596	123	17	min	min	PROPN
iajs-3596	123	18	{	{	PUNCT
iajs-3596	123	19	𝕽(	𝕽(	PROPN
iajs-3596	123	20	�	�	PROPN
iajs-3596	123	21	̃	̃	PROPN
iajs-3596	123	22	�	�	NOUN
iajs-3596	123	23	𝑖	𝑖	NUM
iajs-3596	123	24	)	)	PUNCT
iajs-3596	123	25	𝕽(𝑡ℎ𝑒	𝕽(𝑡ℎ𝑒	NUM
iajs-3596	123	26	𝑐𝑜𝑙𝑢𝑚𝑛	𝑐𝑜𝑙𝑢𝑚𝑛	NOUN
iajs-3596	123	27	𝑒𝑙𝑒𝑚𝑒𝑛𝑡𝑠	𝑒𝑙𝑒𝑚𝑒𝑛𝑡𝑠	NOUN
iajs-3596	123	28	𝑜𝑓	𝑜𝑓	ADP
iajs-3596	123	29	𝑒𝑛𝑡𝑒𝑟𝑖𝑛𝑔	𝑒𝑛𝑡𝑒𝑟𝑖𝑛𝑔	NOUN
iajs-3596	123	30	𝑣𝑎𝑟𝑖𝑎𝑏𝑙𝑒	𝑣𝑎𝑟𝑖𝑎𝑏𝑙𝑒	PROPN
iajs-3596	123	31	)	)	PUNCT
iajs-3596	123	32	}	}	PUNCT
iajs-3596	123	33	.	.	PUNCT
iajs-3596	124	1	𝑖	𝑖	X
iajs-3596	124	2	=	=	SYM
iajs-3596	124	3	1,2	1,2	NUM
iajs-3596	124	4	…	…	PUNCT
iajs-3596	124	5	,	,	PUNCT
iajs-3596	124	6	𝑚	𝑚	X
iajs-3596	124	7	step	step	NOUN
iajs-3596	124	8	6	6	NUM
iajs-3596	124	9	:	:	PUNCT
iajs-3596	124	10	use	use	VERB
iajs-3596	124	11	the	the	DET
iajs-3596	124	12	arithmetic	arithmetic	ADJ
iajs-3596	124	13	operations	operation	NOUN
iajs-3596	124	14	of	of	ADP
iajs-3596	124	15	the	the	DET
iajs-3596	124	16	heptagonal	heptagonal	ADJ
iajs-3596	124	17	fuzzy	fuzzy	ADJ
iajs-3596	124	18	number	number	NOUN
iajs-3596	124	19	to	to	PART
iajs-3596	124	20	get	get	VERB
iajs-3596	124	21	the	the	DET
iajs-3596	124	22	new	new	ADJ
iajs-3596	124	23	fuzzy	fuzzy	ADJ
iajs-3596	124	24	tableau	tableau	NOUN
iajs-3596	124	25	(	(	PUNCT
iajs-3596	124	26	new	new	ADJ
iajs-3596	124	27	iteration	iteration	NOUN
iajs-3596	124	28	)	)	PUNCT
iajs-3596	124	29	of	of	ADP
iajs-3596	124	30	a	a	DET
iajs-3596	124	31	fully	fully	ADV
iajs-3596	124	32	fuzzy	fuzzy	ADJ
iajs-3596	124	33	simplex	simplex	NOUN
iajs-3596	124	34	table	table	NOUN
iajs-3596	124	35	.	.	PUNCT
iajs-3596	125	1	step	step	NOUN
iajs-3596	125	2	7	7	NUM
iajs-3596	125	3	:	:	PUNCT
iajs-3596	125	4	repeat	repeat	VERB
iajs-3596	125	5	the	the	DET
iajs-3596	125	6	steps	step	NOUN
iajs-3596	125	7	even	even	ADV
iajs-3596	125	8	to	to	PART
iajs-3596	125	9	get	get	VERB
iajs-3596	125	10	the	the	DET
iajs-3596	125	11	optimal	optimal	ADJ
iajs-3596	125	12	solution	solution	NOUN
iajs-3596	125	13	.	.	PUNCT
iajs-3596	126	1	step	step	NOUN
iajs-3596	126	2	8	8	NUM
iajs-3596	126	3	:	:	PUNCT
iajs-3596	126	4	the	the	DET
iajs-3596	126	5	optimal	optimal	ADJ
iajs-3596	126	6	fuzzy	fuzzy	ADJ
iajs-3596	126	7	solution	solution	NOUN
iajs-3596	126	8	of	of	ADP
iajs-3596	126	9	the	the	DET
iajs-3596	126	10	maximum	maximum	ADJ
iajs-3596	126	11	problem	problem	NOUN
iajs-3596	126	12	is	be	AUX
iajs-3596	126	13	reached	reach	VERB
iajs-3596	126	14	,	,	PUNCT
iajs-3596	126	15	when	when	SCONJ
iajs-3596	126	16	(	(	PUNCT
iajs-3596	126	17	ℜ(	ℜ(	X
iajs-3596	126	18	�	�	PROPN
iajs-3596	126	19	̃	̃	PROPN
iajs-3596	126	20	�	�	PROPN
iajs-3596	126	21	⊖	⊖	SYM
iajs-3596	126	22	�	�	PROPN
iajs-3596	126	23	̃	̃	PROPN
iajs-3596	126	24	�	�	NOUN
iajs-3596	126	25	𝑗	𝑗	NOUN
iajs-3596	126	26	)	)	PUNCT
iajs-3596	126	27	≥	≥	NOUN
iajs-3596	126	28	0	0	NUM
iajs-3596	126	29	)	)	PUNCT
iajs-3596	126	30	,	,	PUNCT
iajs-3596	126	31	and	and	CCONJ
iajs-3596	126	32	at	at	ADP
iajs-3596	126	33	the	the	DET
iajs-3596	126	34	minimum	minimum	ADJ
iajs-3596	126	35	problem	problem	NOUN
iajs-3596	126	36	(	(	PUNCT
iajs-3596	126	37	ℜ(	ℜ(	X
iajs-3596	126	38	�	�	PROPN
iajs-3596	126	39	̃	̃	PROPN
iajs-3596	126	40	�	�	PROPN
iajs-3596	126	41	⊖	⊖	SYM
iajs-3596	126	42	�	�	PROPN
iajs-3596	126	43	̃	̃	PROPN
iajs-3596	126	44	�	�	NOUN
iajs-3596	126	45	𝑗	𝑗	NOUN
iajs-3596	126	46	)	)	PUNCT
iajs-3596	126	47	≤	≤	NOUN
iajs-3596	126	48	0	0	NUM
iajs-3596	126	49	)	)	PUNCT
iajs-3596	126	50	.	.	PUNCT
iajs-3596	127	1	7	7	X
iajs-3596	127	2	.	.	X
iajs-3596	127	3	numerical	numerical	PROPN
iajs-3596	127	4	results	result	NOUN
iajs-3596	127	5	the	the	DET
iajs-3596	127	6	following	follow	VERB
iajs-3596	127	7	fractional	fractional	ADJ
iajs-3596	127	8	linear	linear	PROPN
iajs-3596	127	9	programming	programming	NOUN
iajs-3596	127	10	problem	problem	NOUN
iajs-3596	127	11	paper	paper	NOUN
iajs-3596	127	12	(	(	PUNCT
iajs-3596	127	13	23	23	NUM
iajs-3596	127	14	):	):	PUNCT
iajs-3596	127	15	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	127	16	𝜔	𝜔	PROPN
iajs-3596	127	17	=	=	SYM
iajs-3596	127	18	4̃	4̃	NUM
iajs-3596	127	19	�	�	PROPN
iajs-3596	127	20	̃	̃	PROPN
iajs-3596	127	21	�	�	NOUN
iajs-3596	127	22	1	1	NUM
iajs-3596	127	23	+	+	NOUN
iajs-3596	127	24	6̃	6̃	PROPN
iajs-3596	127	25	�	�	SYM
iajs-3596	127	26	̃	̃	NOUN
iajs-3596	127	27	�	�	NOUN
iajs-3596	127	28	2−2̃	2−2̃	NUM
iajs-3596	127	29	6̃	6̃	NUM
iajs-3596	127	30	�	�	SYM
iajs-3596	127	31	̃	̃	NOUN
iajs-3596	127	32	�	�	NOUN
iajs-3596	127	33	1	1	NUM
iajs-3596	127	34	+	+	PROPN
iajs-3596	127	35	9̃	9̃	PROPN
iajs-3596	127	36	�	�	SYM
iajs-3596	127	37	̃	̃	NOUN
iajs-3596	127	38	�	�	NOUN
iajs-3596	127	39	2	2	NUM
iajs-3596	127	40	+	+	NOUN
iajs-3596	127	41	3̃	3̃	NOUN
iajs-3596	127	42	ihjpas	ihjpa	VERB
iajs-3596	127	43	.	.	PUNCT
iajs-3596	128	1	2025	2025	NUM
iajs-3596	128	2	,	,	PUNCT
iajs-3596	128	3	38	38	NUM
iajs-3596	128	4	(	(	PUNCT
iajs-3596	128	5	1	1	NUM
iajs-3596	128	6	)	)	PUNCT
iajs-3596	128	7	423	423	NUM
iajs-3596	128	8	𝑠.	𝑠.	PROPN
iajs-3596	128	9	𝑡	𝑡	PROPN
iajs-3596	128	10	�	�	PROPN
iajs-3596	128	11	̃	̃	PROPN
iajs-3596	128	12	�	�	NOUN
iajs-3596	128	13	1	1	NUM
iajs-3596	128	14	+	+	NOUN
iajs-3596	128	15	3̃	3̃	NUM
iajs-3596	128	16	�	�	SYM
iajs-3596	128	17	̃	̃	NOUN
iajs-3596	128	18	�	�	NOUN
iajs-3596	128	19	2	2	NUM
iajs-3596	128	20	≤	≤	NOUN
iajs-3596	128	21	5̃	5̃	NUM
iajs-3596	128	22	2̃	2̃	NUM
iajs-3596	128	23	�	�	SYM
iajs-3596	128	24	̃	̃	PROPN
iajs-3596	128	25	�	�	PROPN
iajs-3596	128	26	1+	1+	NUM
iajs-3596	128	27	�	�	PROPN
iajs-3596	128	28	̃	̃	NOUN
iajs-3596	128	29	�	�	NOUN
iajs-3596	128	30	2	2	NUM
iajs-3596	128	31	≤	≤	NOUN
iajs-3596	128	32	2̃	2̃	NUM
iajs-3596	128	33	�	�	SYM
iajs-3596	128	34	̃	̃	NOUN
iajs-3596	128	35	�	�	NOUN
iajs-3596	128	36	1	1	NUM
iajs-3596	128	37	,	,	PUNCT
iajs-3596	128	38	�	�	PROPN
iajs-3596	128	39	̃	̃	PROPN
iajs-3596	128	40	�	�	PROPN
iajs-3596	128	41	2	2	NUM
iajs-3596	128	42	≥	≥	NOUN
iajs-3596	128	43	0	0	NUM
iajs-3596	128	44	now	now	ADV
iajs-3596	128	45	,	,	PUNCT
iajs-3596	128	46	take	take	VERB
iajs-3596	128	47	the	the	DET
iajs-3596	128	48	above	above	ADJ
iajs-3596	128	49	example	example	NOUN
iajs-3596	128	50	with	with	ADP
iajs-3596	128	51	all	all	DET
iajs-3596	128	52	the	the	DET
iajs-3596	128	53	variables	variable	NOUN
iajs-3596	128	54	are	be	AUX
iajs-3596	128	55	heptagonal	heptagonal	ADJ
iajs-3596	128	56	fuzzy	fuzzy	ADJ
iajs-3596	128	57	numbers	number	NOUN
iajs-3596	128	58	:	:	PUNCT
iajs-3596	128	59	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	128	60	�	�	PROPN
iajs-3596	128	61	̃	̃	PROPN
iajs-3596	128	62	�	�	NOUN
iajs-3596	128	63	=	=	SYM
iajs-3596	128	64	(	(	PUNCT
iajs-3596	128	65	−2,0,2,4,6,8,10;𝜔1)⨂	−2,0,2,4,6,8,10;𝜔1)⨂	PROPN
iajs-3596	128	66	�	�	PROPN
iajs-3596	128	67	̃	̃	PROPN
iajs-3596	128	68	�	�	NOUN
iajs-3596	128	69	1	1	NUM
iajs-3596	128	70	⨁(0,2,4,6,8,10,12;𝜔1)⨂	⨁(0,2,4,6,8,10,12;𝜔1)⨂	NOUN
iajs-3596	128	71	�	�	PROPN
iajs-3596	128	72	̃	̃	NOUN
iajs-3596	128	73	�	�	NOUN
iajs-3596	128	74	2⊖(−4,−2,0,2,4,6,8;𝜔1	2⊖(−4,−2,0,2,4,6,8;𝜔1	NUM
iajs-3596	128	75	)	)	PUNCT
iajs-3596	128	76	(	(	PUNCT
iajs-3596	128	77	0,2,4,6,8,10,12;𝜔2)⨂	0,2,4,6,8,10,12;𝜔2)⨂	NUM
iajs-3596	128	78	�	�	PROPN
iajs-3596	128	79	̃	̃	PROPN
iajs-3596	128	80	�	�	PROPN
iajs-3596	128	81	1	1	NUM
iajs-3596	128	82	⨁(3,5,7,9,11,13,15;𝜔2)⨂	⨁(3,5,7,9,11,13,15;𝜔2)⨂	PROPN
iajs-3596	128	83	�	�	PROPN
iajs-3596	128	84	̃	̃	PROPN
iajs-3596	128	85	�	�	NOUN
iajs-3596	128	86	2⨁(−3,−1,1,3,5,7,9;𝜔2	2⨁(−3,−1,1,3,5,7,9;𝜔2	NUM
iajs-3596	128	87	)	)	PUNCT
iajs-3596	128	88	𝑠.	𝑠.	NOUN
iajs-3596	128	89	𝑡	𝑡	PROPN
iajs-3596	128	90	(	(	PUNCT
iajs-3596	128	91	−5,−3,−1,1,3,5,7	−5,−3,−1,1,3,5,7	NOUN
iajs-3596	128	92	;	;	PUNCT
iajs-3596	128	93	𝜔1)⨂	𝜔1)⨂	X
iajs-3596	128	94	�	�	NOUN
iajs-3596	128	95	̃	̃	NOUN
iajs-3596	128	96	�	�	NOUN
iajs-3596	128	97	1⨁(−3,−1,1,3,5,7,9;𝜔1)⨂	1⨁(−3,−1,1,3,5,7,9;𝜔1)⨂	NUM
iajs-3596	128	98	�	�	PROPN
iajs-3596	128	99	̃	̃	NOUN
iajs-3596	128	100	�	�	NOUN
iajs-3596	128	101	2	2	NUM
iajs-3596	128	102	≤	≤	NOUN
iajs-3596	128	103	(	(	PUNCT
iajs-3596	128	104	−1,1,3,5,7,9,11	−1,1,3,5,7,9,11	NOUN
iajs-3596	128	105	;	;	PUNCT
iajs-3596	128	106	𝜔1	𝜔1	ADJ
iajs-3596	128	107	)	)	PUNCT
iajs-3596	128	108	(	(	PUNCT
iajs-3596	128	109	−4,−2,0,2,4,6,8;𝜔2)⨂	−4,−2,0,2,4,6,8;𝜔2)⨂	PROPN
iajs-3596	128	110	�	�	PROPN
iajs-3596	128	111	̃	̃	NOUN
iajs-3596	128	112	�	�	PROPN
iajs-3596	128	113	1⨁(−5,−3,−1,1,3,5,7;𝜔2)⨂	1⨁(−5,−3,−1,1,3,5,7;𝜔2)⨂	NUM
iajs-3596	128	114	�	�	PROPN
iajs-3596	128	115	̃	̃	NOUN
iajs-3596	128	116	�	�	NOUN
iajs-3596	128	117	2	2	NUM
iajs-3596	128	118	≤	≤	NOUN
iajs-3596	128	119	(	(	PUNCT
iajs-3596	128	120	−4,−2,0,2,4,6,8	−4,−2,0,2,4,6,8	NOUN
iajs-3596	128	121	;	;	PUNCT
iajs-3596	128	122	𝜔2	𝜔2	PROPN
iajs-3596	128	123	)	)	PUNCT
iajs-3596	128	124	�	�	PROPN
iajs-3596	128	125	̃	̃	PROPN
iajs-3596	128	126	�	�	NOUN
iajs-3596	128	127	1	1	NUM
iajs-3596	128	128	,	,	PUNCT
iajs-3596	128	129	�	�	PROPN
iajs-3596	128	130	̃	̃	PROPN
iajs-3596	128	131	�	�	PROPN
iajs-3596	128	132	2	2	NUM
iajs-3596	128	133	≥	≥	NOUN
iajs-3596	128	134	0	0	NUM
iajs-3596	128	135	,	,	PUNCT
iajs-3596	128	136	𝜔1	𝜔1	ADJ
iajs-3596	128	137	,	,	PUNCT
iajs-3596	128	138	𝜔2	𝜔2	PROPN
iajs-3596	128	139	are	be	AUX
iajs-3596	128	140	the	the	DET
iajs-3596	128	141	weighted	weighted	NOUN
iajs-3596	128	142	of	of	ADP
iajs-3596	128	143	fuzzy	fuzzy	ADJ
iajs-3596	128	144	numbers	number	NOUN
iajs-3596	128	145	.	.	PUNCT
iajs-3596	129	1	applying	apply	VERB
iajs-3596	129	2	the	the	DET
iajs-3596	129	3	proposed	propose	VERB
iajs-3596	129	4	algorithm	algorithm	NOUN
iajs-3596	129	5	,	,	PUNCT
iajs-3596	129	6	the	the	DET
iajs-3596	129	7	first	first	ADJ
iajs-3596	129	8	step	step	NOUN
iajs-3596	129	9	uses	use	VERB
iajs-3596	129	10	the	the	DET
iajs-3596	129	11	development	development	NOUN
iajs-3596	129	12	complementary	complementary	ADJ
iajs-3596	129	13	method	method	NOUN
iajs-3596	129	14	to	to	PART
iajs-3596	129	15	convert	convert	VERB
iajs-3596	129	16	the	the	DET
iajs-3596	129	17	problem	problem	NOUN
iajs-3596	129	18	to	to	ADP
iajs-3596	129	19	(	(	PUNCT
iajs-3596	129	20	fflpp	fflpp	ADJ
iajs-3596	129	21	)	)	PUNCT
iajs-3596	129	22	problem	problem	NOUN
iajs-3596	129	23	.	.	PUNCT
iajs-3596	130	1	let	let	VERB
iajs-3596	130	2	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	130	3	�	�	PROPN
iajs-3596	130	4	̃	̃	PROPN
iajs-3596	130	5	�	�	PROPN
iajs-3596	130	6	=	=	SYM
iajs-3596	130	7	𝑀𝑖𝑛	𝑀𝑖𝑛	PROPN
iajs-3596	130	8	𝑤1	𝑤1	VERB
iajs-3596	130	9	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	130	10	𝑤2	𝑤2	PROPN
iajs-3596	130	11	𝑤ℎ𝑒𝑟𝑒	𝑤ℎ𝑒𝑟𝑒	NOUN
iajs-3596	130	12	,	,	PUNCT
iajs-3596	130	13	𝑀𝑖𝑛	𝑀𝑖𝑛	PROPN
iajs-3596	130	14	𝑤1	𝑤1	NOUN
iajs-3596	130	15	=	=	SYM
iajs-3596	130	16	(	(	PUNCT
iajs-3596	130	17	−2,0,2,4,6,8,10	−2,0,2,4,6,8,10	PROPN
iajs-3596	130	18	;	;	PUNCT
iajs-3596	130	19	𝜔1)⨂	𝜔1)⨂	X
iajs-3596	130	20	�	�	NOUN
iajs-3596	130	21	̃	̃	NOUN
iajs-3596	130	22	�	�	NOUN
iajs-3596	130	23	1	1	NUM
iajs-3596	130	24	⨁(0,2,4,6,8,10,12;𝜔1)⨂	⨁(0,2,4,6,8,10,12;𝜔1)⨂	NOUN
iajs-3596	130	25	�	�	PROPN
iajs-3596	130	26	̃	̃	NOUN
iajs-3596	130	27	�	�	NOUN
iajs-3596	130	28	2⊖	2⊖	NUM
iajs-3596	130	29	(	(	PUNCT
iajs-3596	130	30	−4,−2,0,2,4,6,8	−4,−2,0,2,4,6,8	NOUN
iajs-3596	130	31	;	;	PUNCT
iajs-3596	130	32	𝜔1	𝜔1	ADJ
iajs-3596	130	33	)	)	PUNCT
iajs-3596	130	34	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	130	35	𝑤2	𝑤2	NOUN
iajs-3596	130	36	=	=	SYM
iajs-3596	130	37	(	(	PUNCT
iajs-3596	130	38	0,2,4,6,8,10,12;𝜔2)⨂	0,2,4,6,8,10,12;𝜔2)⨂	NUM
iajs-3596	130	39	�	�	PROPN
iajs-3596	130	40	̃	̃	PROPN
iajs-3596	130	41	�	�	PROPN
iajs-3596	130	42	1	1	NUM
iajs-3596	130	43	⨁(3,5,7,9,11,13	⨁(3,5,7,9,11,13	NOUN
iajs-3596	130	44	;	;	PUNCT
iajs-3596	130	45	𝜔2)⨂	𝜔2)⨂	X
iajs-3596	130	46	�	�	PROPN
iajs-3596	130	47	̃	̃	PROPN
iajs-3596	130	48	�	�	NOUN
iajs-3596	130	49	2⨁(−3,−1,1,3,5,7,9;𝜔2	2⨁(−3,−1,1,3,5,7,9;𝜔2	NUM
iajs-3596	130	50	)	)	PUNCT
iajs-3596	130	51	since	since	SCONJ
iajs-3596	130	52	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	130	53	𝑤1	𝑤1	NOUN
iajs-3596	130	54	=	=	SYM
iajs-3596	130	55	𝑀𝑖𝑛(−𝑤1	𝑀𝑖𝑛(−𝑤1	NOUN
iajs-3596	130	56	)	)	PUNCT
iajs-3596	130	57	∴	∴	PROPN
iajs-3596	130	58	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	130	59	𝑤1	𝑤1	VERB
iajs-3596	130	60	=	=	PRON
iajs-3596	130	61	⊖	⊖	X
iajs-3596	130	62	[	[	X
iajs-3596	130	63	(	(	PUNCT
iajs-3596	130	64	−2,0,2,4,6,8,10	−2,0,2,4,6,8,10	NOUN
iajs-3596	130	65	;	;	PUNCT
iajs-3596	130	66	𝜔1)⨂	𝜔1)⨂	X
iajs-3596	130	67	�	�	NOUN
iajs-3596	130	68	̃	̃	NOUN
iajs-3596	130	69	�	�	NOUN
iajs-3596	130	70	1	1	NUM
iajs-3596	130	71	⨁(0,2,4,6,8,10,12;𝜔1)⨂	⨁(0,2,4,6,8,10,12;𝜔1)⨂	NOUN
iajs-3596	130	72	�	�	PROPN
iajs-3596	130	73	̃	̃	NOUN
iajs-3596	130	74	�	�	NOUN
iajs-3596	130	75	2⊖	2⊖	NUM
iajs-3596	130	76	(	(	PUNCT
iajs-3596	130	77	−4,−2,0,2,4,6,8	−4,−2,0,2,4,6,8	NOUN
iajs-3596	130	78	;	;	PUNCT
iajs-3596	130	79	𝜔1	𝜔1	ADJ
iajs-3596	130	80	)	)	PUNCT
iajs-3596	130	81	]	]	PUNCT
iajs-3596	131	1	=	=	PUNCT
iajs-3596	132	1	[	[	X
iajs-3596	132	2	(	(	PUNCT
iajs-3596	132	3	−10,−8,−6,−4,−2,0,2;𝜔1)⨂	−10,−8,−6,−4,−2,0,2;𝜔1)⨂	PROPN
iajs-3596	132	4	�	�	PROPN
iajs-3596	132	5	̃	̃	PROPN
iajs-3596	132	6	�	�	NOUN
iajs-3596	132	7	1⨁(−12,−10,−8,−6,−4,−2,0	1⨁(−12,−10,−8,−6,−4,−2,0	NOUN
iajs-3596	132	8	;	;	PUNCT
iajs-3596	132	9	𝜔1)⨂	𝜔1)⨂	X
iajs-3596	132	10	�	�	NOUN
iajs-3596	132	11	̃	̃	NOUN
iajs-3596	132	12	�	�	NOUN
iajs-3596	132	13	2	2	NUM
iajs-3596	132	14	⨁(−4,−2,0,2,4,6,8	⨁(−4,−2,0,2,4,6,8	NOUN
iajs-3596	132	15	;	;	PUNCT
iajs-3596	132	16	𝜔1	𝜔1	PROPN
iajs-3596	132	17	]	]	PUNCT
iajs-3596	132	18	the	the	DET
iajs-3596	132	19	new	new	ADJ
iajs-3596	132	20	form	form	NOUN
iajs-3596	132	21	of	of	ADP
iajs-3596	132	22	the	the	DET
iajs-3596	132	23	fuzzy	fuzzy	ADJ
iajs-3596	132	24	objective	objective	ADJ
iajs-3596	132	25	function	function	NOUN
iajs-3596	132	26	is	be	AUX
iajs-3596	132	27	:	:	PUNCT
iajs-3596	132	28	𝑀𝑎𝑥	𝑀𝑎𝑥	ADJ
iajs-3596	132	29	𝜔′	𝜔′	NUM
iajs-3596	132	30	=	=	SYM
iajs-3596	132	31	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	132	32	𝑤1	𝑤1	VERB
iajs-3596	132	33	+	+	CCONJ
iajs-3596	132	34	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	132	35	𝑤2	𝑤2	NOUN
iajs-3596	132	36	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	132	37	𝜔′=[(−10,−8,−6,−4	𝜔′=[(−10,−8,−6,−4	ADV
iajs-3596	132	38	,	,	PUNCT
iajs-3596	132	39	−2,0,2;𝜔1)⨂	−2,0,2;𝜔1)⨂	X
iajs-3596	132	40	�	�	PROPN
iajs-3596	132	41	̃	̃	PROPN
iajs-3596	132	42	�	�	NOUN
iajs-3596	132	43	1⨁(−12,−10,−8	1⨁(−12,−10,−8	NUM
iajs-3596	132	44	,	,	PUNCT
iajs-3596	132	45	−6,−4,−2,0	−6,−4,−2,0	VERB
iajs-3596	132	46	;	;	PUNCT
iajs-3596	132	47	𝜔1)⨂	𝜔1)⨂	X
iajs-3596	132	48	�	�	NOUN
iajs-3596	132	49	̃	̃	NOUN
iajs-3596	132	50	�	�	NOUN
iajs-3596	132	51	2	2	NUM
iajs-3596	132	52	⨁(−4,−2,0,2,4,6,8;𝜔1)⨁	⨁(−4,−2,0,2,4,6,8;𝜔1)⨁	NOUN
iajs-3596	132	53	[	[	X
iajs-3596	132	54	(	(	PUNCT
iajs-3596	132	55	0,2,4,6,8,10,12	0,2,4,6,8,10,12	NOUN
iajs-3596	132	56	;	;	PUNCT
iajs-3596	132	57	𝜔2)⨂	𝜔2)⨂	X
iajs-3596	132	58	�	�	PROPN
iajs-3596	132	59	̃	̃	PROPN
iajs-3596	132	60	�	�	PROPN
iajs-3596	132	61	1	1	NUM
iajs-3596	132	62	⨁(3,5,7,9,11,13;𝜔2)⨂	⨁(3,5,7,9,11,13;𝜔2)⨂	PROPN
iajs-3596	132	63	�	�	PROPN
iajs-3596	132	64	̃	̃	NOUN
iajs-3596	132	65	�	�	NOUN
iajs-3596	132	66	2	2	NUM
iajs-3596	132	67	⨁(−3,−1,1,3,5,7,9;𝜔2	⨁(−3,−1,1,3,5,7,9;𝜔2	NOUN
iajs-3596	132	68	)	)	PUNCT
iajs-3596	132	69	then	then	ADV
iajs-3596	132	70	the	the	DET
iajs-3596	132	71	new	new	ADJ
iajs-3596	132	72	problem	problem	NOUN
iajs-3596	132	73	becomes	become	VERB
iajs-3596	132	74	as	as	SCONJ
iajs-3596	132	75	follows	follow	VERB
iajs-3596	132	76	:	:	PUNCT
iajs-3596	132	77	𝑀𝑎𝑥	𝑀𝑎𝑥	ADJ
iajs-3596	132	78	𝜔′	𝜔′	X
iajs-3596	132	79	=	=	PUNCT
iajs-3596	132	80	(	(	PUNCT
iajs-3596	132	81	−10,−6,−2,2,6,10,14;min	−10,−6,−2,2,6,10,14;min	INTJ
iajs-3596	132	82	(	(	PUNCT
iajs-3596	132	83	𝜔1	𝜔1	ADJ
iajs-3596	132	84	,	,	PUNCT
iajs-3596	132	85	𝜔2	𝜔2	PROPN
iajs-3596	132	86	)	)	PUNCT
iajs-3596	132	87	)	)	PUNCT
iajs-3596	132	88	⨂	⨂	VERB
iajs-3596	132	89	�	�	PROPN
iajs-3596	132	90	̃	̃	PROPN
iajs-3596	132	91	�	�	PROPN
iajs-3596	132	92	1	1	NUM
iajs-3596	132	93	⨁(−9,−5,−1,3,7,11,15;min	⨁(−9,−5,−1,3,7,11,15;min	NOUN
iajs-3596	132	94	(	(	PUNCT
iajs-3596	132	95	𝜔1	𝜔1	ADJ
iajs-3596	132	96	,	,	PUNCT
iajs-3596	132	97	𝜔2))⨂	𝜔2))⨂	SYM
iajs-3596	132	98	�	�	NOUN
iajs-3596	132	99	̃	̃	PROPN
iajs-3596	132	100	�	�	NOUN
iajs-3596	132	101	2⨁(−7,−3,1,5,9,13,17;min	2⨁(−7,−3,1,5,9,13,17;min	PROPN
iajs-3596	132	102	(	(	PUNCT
iajs-3596	132	103	𝜔1	𝜔1	ADJ
iajs-3596	132	104	,	,	PUNCT
iajs-3596	132	105	𝜔2	𝜔2	PROPN
iajs-3596	132	106	)	)	PUNCT
iajs-3596	132	107	)	)	PUNCT
iajs-3596	132	108	𝑠.	𝑠.	PROPN
iajs-3596	132	109	𝑡	𝑡	PROPN
iajs-3596	132	110	(	(	PUNCT
iajs-3596	132	111	−5,−3,−1,1,3,5,7	−5,−3,−1,1,3,5,7	NOUN
iajs-3596	132	112	;	;	PUNCT
iajs-3596	132	113	𝜔1)⨂	𝜔1)⨂	X
iajs-3596	132	114	�	�	NOUN
iajs-3596	132	115	̃	̃	NOUN
iajs-3596	132	116	�	�	NOUN
iajs-3596	132	117	1⨁(−3,−1,1,3,5,7,9;𝜔1)⨂	1⨁(−3,−1,1,3,5,7,9;𝜔1)⨂	NUM
iajs-3596	132	118	�	�	PROPN
iajs-3596	132	119	̃	̃	NOUN
iajs-3596	132	120	�	�	NOUN
iajs-3596	132	121	2	2	NUM
iajs-3596	132	122	≤	≤	NOUN
iajs-3596	132	123	(	(	PUNCT
iajs-3596	132	124	−1,1,3,5,7,9,11	−1,1,3,5,7,9,11	NOUN
iajs-3596	132	125	;	;	PUNCT
iajs-3596	132	126	𝜔1	𝜔1	ADJ
iajs-3596	132	127	)	)	PUNCT
iajs-3596	132	128	(	(	PUNCT
iajs-3596	132	129	−4,−2,0,2,4,6,8;𝜔2)⨂	−4,−2,0,2,4,6,8;𝜔2)⨂	PROPN
iajs-3596	132	130	�	�	PROPN
iajs-3596	132	131	̃	̃	PROPN
iajs-3596	132	132	�	�	NOUN
iajs-3596	132	133	1⨁(−5,−3	1⨁(−5,−3	NUM
iajs-3596	132	134	,	,	PUNCT
iajs-3596	132	135	−1,1,3,5,7;𝜔2)⨂	−1,1,3,5,7;𝜔2)⨂	PROPN
iajs-3596	132	136	�	�	PROPN
iajs-3596	132	137	̃	̃	PROPN
iajs-3596	132	138	�	�	NOUN
iajs-3596	132	139	2	2	NUM
iajs-3596	132	140	≤	≤	NOUN
iajs-3596	132	141	(	(	PUNCT
iajs-3596	132	142	−4,−2,0,2,4,6,8	−4,−2,0,2,4,6,8	NOUN
iajs-3596	132	143	;	;	PUNCT
iajs-3596	132	144	𝜔2	𝜔2	PROPN
iajs-3596	132	145	)	)	PUNCT
iajs-3596	132	146	�	�	PROPN
iajs-3596	132	147	̃	̃	PROPN
iajs-3596	132	148	�	�	NOUN
iajs-3596	132	149	1	1	NUM
iajs-3596	132	150	,	,	PUNCT
iajs-3596	132	151	�	�	PROPN
iajs-3596	132	152	̃	̃	PROPN
iajs-3596	132	153	�	�	PROPN
iajs-3596	132	154	2	2	NUM
iajs-3596	132	155	≥	≥	NOUN
iajs-3596	132	156	0	0	NUM
iajs-3596	132	157	the	the	DET
iajs-3596	132	158	second	second	ADJ
iajs-3596	132	159	step	step	NOUN
iajs-3596	132	160	,	,	PUNCT
iajs-3596	132	161	is	be	AUX
iajs-3596	132	162	to	to	PART
iajs-3596	132	163	convert	convert	VERB
iajs-3596	132	164	the	the	DET
iajs-3596	132	165	problem	problem	NOUN
iajs-3596	132	166	to	to	ADP
iajs-3596	132	167	the	the	DET
iajs-3596	132	168	standard	standard	ADJ
iajs-3596	132	169	form	form	NOUN
iajs-3596	132	170	by	by	ADP
iajs-3596	132	171	adding	add	VERB
iajs-3596	132	172	the	the	DET
iajs-3596	132	173	fuzzy	fuzzy	ADJ
iajs-3596	132	174	slack	slack	NOUN
iajs-3596	132	175	variables	variable	NOUN
iajs-3596	132	176	,	,	PUNCT
iajs-3596	132	177	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	132	178	𝜔	𝜔	PROPN
iajs-3596	132	179	′̃	′̃	NOUN
iajs-3596	132	180	=	=	PUNCT
iajs-3596	132	181	(	(	PUNCT
iajs-3596	132	182	−10	−10	PROPN
iajs-3596	132	183	,	,	PUNCT
iajs-3596	132	184	−6,−2,2,6,10,14;min	−6,−2,2,6,10,14;min	PROPN
iajs-3596	132	185	(	(	PUNCT
iajs-3596	132	186	𝜔1	𝜔1	ADJ
iajs-3596	132	187	,	,	PUNCT
iajs-3596	132	188	𝜔2	𝜔2	PROPN
iajs-3596	132	189	)	)	PUNCT
iajs-3596	132	190	)	)	PUNCT
iajs-3596	132	191	⨂	⨂	VERB
iajs-3596	132	192	�	�	PROPN
iajs-3596	132	193	̃	̃	PROPN
iajs-3596	132	194	�	�	PROPN
iajs-3596	132	195	1	1	NUM
iajs-3596	132	196	⨁(−9,−5,−1,3,7,11,15;min	⨁(−9,−5,−1,3,7,11,15;min	NOUN
iajs-3596	132	197	(	(	PUNCT
iajs-3596	132	198	𝜔1	𝜔1	ADJ
iajs-3596	132	199	,	,	PUNCT
iajs-3596	132	200	𝜔2))⨂	𝜔2))⨂	SYM
iajs-3596	132	201	�	�	NOUN
iajs-3596	132	202	̃	̃	NOUN
iajs-3596	132	203	�	�	NOUN
iajs-3596	132	204	2	2	NUM
iajs-3596	132	205	⨁0̃⨂	⨁0̃⨂	NOUN
iajs-3596	132	206	�	�	NOUN
iajs-3596	132	207	̃	̃	PROPN
iajs-3596	132	208	�	�	NOUN
iajs-3596	132	209	1⨁0̃⨂	1⨁0̃⨂	NOUN
iajs-3596	132	210	�	�	PROPN
iajs-3596	132	211	̃	̃	PROPN
iajs-3596	132	212	�	�	NOUN
iajs-3596	132	213	2⨁(−7,−3,1,5,9,13,17;min	2⨁(−7,−3,1,5,9,13,17;min	PROPN
iajs-3596	132	214	(	(	PUNCT
iajs-3596	132	215	𝜔1	𝜔1	ADJ
iajs-3596	132	216	,	,	PUNCT
iajs-3596	132	217	𝜔2	𝜔2	PROPN
iajs-3596	132	218	)	)	PUNCT
iajs-3596	132	219	)	)	PUNCT
iajs-3596	132	220	ihjpas	ihjpas	PROPN
iajs-3596	132	221	.	.	PUNCT
iajs-3596	133	1	2025	2025	NUM
iajs-3596	133	2	,	,	PUNCT
iajs-3596	133	3	38	38	NUM
iajs-3596	133	4	(	(	PUNCT
iajs-3596	133	5	1	1	NUM
iajs-3596	133	6	)	)	PUNCT
iajs-3596	133	7	424	424	NUM
iajs-3596	133	8	𝑠.	𝑠.	NOUN
iajs-3596	133	9	𝑡	𝑡	PROPN
iajs-3596	133	10	(	(	PUNCT
iajs-3596	133	11	−5,−3,−1,1,3,5,7	−5,−3,−1,1,3,5,7	NOUN
iajs-3596	133	12	;	;	PUNCT
iajs-3596	133	13	𝜔1)⨂	𝜔1)⨂	X
iajs-3596	133	14	�	�	NOUN
iajs-3596	133	15	̃	̃	NOUN
iajs-3596	133	16	�	�	NOUN
iajs-3596	133	17	1⨁(−3,−1,1,3,5,7,9	1⨁(−3,−1,1,3,5,7,9	NUM
iajs-3596	133	18	;	;	PUNCT
iajs-3596	133	19	𝜔1)⨂	𝜔1)⨂	X
iajs-3596	133	20	�	�	NOUN
iajs-3596	133	21	̃	̃	PROPN
iajs-3596	133	22	�	�	PROPN
iajs-3596	133	23	2⨁1̃⨂	2⨁1̃⨂	PROPN
iajs-3596	133	24	�	�	PROPN
iajs-3596	133	25	̃	̃	PROPN
iajs-3596	133	26	�	�	NOUN
iajs-3596	133	27	1⨁	1⨁	NUM
iajs-3596	133	28	≤	≤	NOUN
iajs-3596	133	29	(	(	PUNCT
iajs-3596	133	30	−1,1,3,5,7,9,11	−1,1,3,5,7,9,11	NOUN
iajs-3596	133	31	;	;	PUNCT
iajs-3596	133	32	𝜔1	𝜔1	ADJ
iajs-3596	133	33	)	)	PUNCT
iajs-3596	133	34	(	(	PUNCT
iajs-3596	133	35	−4,−2,0,2,4,6,8;𝜔2)⨂	−4,−2,0,2,4,6,8;𝜔2)⨂	PROPN
iajs-3596	133	36	�	�	PROPN
iajs-3596	133	37	̃	̃	PROPN
iajs-3596	133	38	�	�	NOUN
iajs-3596	133	39	1⨁(−5,−3	1⨁(−5,−3	NUM
iajs-3596	133	40	,	,	PUNCT
iajs-3596	133	41	−1,1,3,5,7;𝜔2)⨂	−1,1,3,5,7;𝜔2)⨂	PROPN
iajs-3596	133	42	�	�	PROPN
iajs-3596	133	43	̃	̃	PROPN
iajs-3596	133	44	�	�	PROPN
iajs-3596	133	45	2⨁1̃⨂	2⨁1̃⨂	PROPN
iajs-3596	133	46	�	�	PROPN
iajs-3596	133	47	̃	̃	PROPN
iajs-3596	133	48	�	�	NOUN
iajs-3596	133	49	2	2	NUM
iajs-3596	133	50	≤	≤	NOUN
iajs-3596	133	51	(	(	PUNCT
iajs-3596	133	52	−4,−2,0,2,4,6,8	−4,−2,0,2,4,6,8	NOUN
iajs-3596	133	53	;	;	PUNCT
iajs-3596	133	54	𝜔2	𝜔2	PROPN
iajs-3596	133	55	)	)	PUNCT
iajs-3596	133	56	�	�	PROPN
iajs-3596	133	57	̃	̃	PROPN
iajs-3596	133	58	�	�	NOUN
iajs-3596	133	59	1	1	NUM
iajs-3596	133	60	,	,	PUNCT
iajs-3596	133	61	�	�	PROPN
iajs-3596	133	62	̃	̃	NOUN
iajs-3596	133	63	�	�	NOUN
iajs-3596	133	64	2	2	NUM
iajs-3596	133	65	,	,	PUNCT
iajs-3596	133	66	�	�	PROPN
iajs-3596	133	67	̃	̃	NOUN
iajs-3596	133	68	�	�	NOUN
iajs-3596	133	69	1	1	NUM
iajs-3596	133	70	,	,	PUNCT
iajs-3596	133	71	�	�	PROPN
iajs-3596	133	72	̃	̃	PROPN
iajs-3596	133	73	�	�	NOUN
iajs-3596	133	74	2	2	NUM
iajs-3596	133	75	≥	≥	NOUN
iajs-3596	133	76	0̃	0̃	NOUN
iajs-3596	133	77	suppose	suppose	VERB
iajs-3596	133	78	that	that	SCONJ
iajs-3596	133	79	,	,	PUNCT
iajs-3596	133	80	𝜔1	𝜔1	ADJ
iajs-3596	133	81	=	=	SYM
iajs-3596	133	82	𝜔2	𝜔2	NOUN
iajs-3596	133	83	=	=	SYM
iajs-3596	133	84	1	1	NUM
iajs-3596	133	85	,	,	PUNCT
iajs-3596	133	86	the	the	DET
iajs-3596	133	87	first	first	ADJ
iajs-3596	133	88	tableau	tableau	NOUN
iajs-3596	133	89	of	of	ADP
iajs-3596	133	90	the	the	DET
iajs-3596	133	91	fully	fully	ADV
iajs-3596	133	92	fuzzy	fuzzy	ADJ
iajs-3596	133	93	simplex	simplex	NOUN
iajs-3596	133	94	is	be	AUX
iajs-3596	133	95	shown	show	VERB
iajs-3596	133	96	in	in	ADP
iajs-3596	133	97	table	table	NOUN
iajs-3596	133	98	2	2	NUM
iajs-3596	133	99	below	below	ADV
iajs-3596	133	100	:	:	PUNCT
iajs-3596	133	101	table	table	NOUN
iajs-3596	133	102	2	2	NUM
iajs-3596	133	103	.	.	PUNCT
iajs-3596	133	104	primary	primary	ADJ
iajs-3596	133	105	table	table	NOUN
iajs-3596	133	106	of	of	ADP
iajs-3596	133	107	the	the	DET
iajs-3596	133	108	ffs	ffs	NOUN
iajs-3596	133	109	method	method	PROPN
iajs-3596	133	110	b.v	b.v	PROPN
iajs-3596	133	111	𝒙𝟏	𝒙𝟏	PROPN
iajs-3596	133	112	𝒙𝟐	𝒙𝟐	PROPN
iajs-3596	133	113	�	�	PROPN
iajs-3596	133	114	̃	̃	PROPN
iajs-3596	133	115	�	�	PROPN
iajs-3596	133	116	𝟏	𝟏	PROPN
iajs-3596	133	117	�	�	PROPN
iajs-3596	133	118	̃	̃	PROPN
iajs-3596	133	119	�	�	PROPN
iajs-3596	133	120	𝟐	𝟐	NUM
iajs-3596	133	121	𝑹.𝑯.	𝑹.𝑯.	PROPN
iajs-3596	133	122	𝑺	𝑺	PROPN
iajs-3596	133	123	𝜽	𝜽	ADP
iajs-3596	133	124	𝑨𝟎	𝑨𝟎	NOUN
iajs-3596	133	125	𝝎′̃⊖	𝝎′̃⊖	PROPN
iajs-3596	133	126	�	�	PROPN
iajs-3596	133	127	̃	̃	PROPN
iajs-3596	133	128	�	�	NOUN
iajs-3596	133	129	𝒋	𝒋	X
iajs-3596	133	130	(	(	PUNCT
iajs-3596	133	131	−14,−10,−6	−14,−10,−6	PROPN
iajs-3596	133	132	,	,	PUNCT
iajs-3596	133	133	−2,2,6,10	−2,2,6,10	PROPN
iajs-3596	133	134	;	;	PUNCT
iajs-3596	133	135	1	1	X
iajs-3596	133	136	)	)	PUNCT
iajs-3596	133	137	(	(	PUNCT
iajs-3596	133	138	−15,−11,−7	−15,−11,−7	NUM
iajs-3596	133	139	,	,	PUNCT
iajs-3596	133	140	−3,1,5,9	−3,1,5,9	NUM
iajs-3596	133	141	;	;	PUNCT
iajs-3596	133	142	1	1	X
iajs-3596	133	143	)	)	PUNCT
iajs-3596	133	144	(	(	PUNCT
iajs-3596	133	145	0̃;1	0̃;1	NUM
iajs-3596	133	146	)	)	PUNCT
iajs-3596	133	147	(	(	PUNCT
iajs-3596	133	148	0̃;1	0̃;1	NUM
iajs-3596	133	149	)	)	PUNCT
iajs-3596	133	150	(	(	PUNCT
iajs-3596	133	151	−7,−3,1	−7,−3,1	NOUN
iajs-3596	133	152	,	,	PUNCT
iajs-3596	133	153	5,9,13,17	5,9,13,17	NOUN
iajs-3596	133	154	;	;	PUNCT
iajs-3596	133	155	1	1	X
iajs-3596	133	156	)	)	PUNCT
iajs-3596	133	157	𝑨𝟏	𝑨𝟏	PROPN
iajs-3596	133	158	�	�	PROPN
iajs-3596	133	159	̃	̃	PROPN
iajs-3596	133	160	�	�	NOUN
iajs-3596	133	161	1	1	NUM
iajs-3596	133	162	(	(	PUNCT
iajs-3596	133	163	−5,−3,−1	−5,−3,−1	PROPN
iajs-3596	133	164	,	,	PUNCT
iajs-3596	133	165	1,3,5,7	1,3,5,7	NUM
iajs-3596	133	166	;	;	PUNCT
iajs-3596	133	167	1	1	NUM
iajs-3596	133	168	)	)	PUNCT
iajs-3596	133	169	(	(	PUNCT
iajs-3596	133	170	−3,−1,1	−3,−1,1	NOUN
iajs-3596	133	171	,	,	PUNCT
iajs-3596	133	172	3,5,7,9	3,5,7,9	NUM
iajs-3596	133	173	;	;	PUNCT
iajs-3596	133	174	1	1	NUM
iajs-3596	133	175	)	)	PUNCT
iajs-3596	133	176	(	(	PUNCT
iajs-3596	133	177	1̃;1	1̃;1	NUM
iajs-3596	133	178	)	)	PUNCT
iajs-3596	133	179	(	(	PUNCT
iajs-3596	133	180	0̃;1	0̃;1	NUM
iajs-3596	133	181	)	)	PUNCT
iajs-3596	133	182	(	(	PUNCT
iajs-3596	133	183	−1,1,3	−1,1,3	NUM
iajs-3596	133	184	,	,	PUNCT
iajs-3596	133	185	5,7,9,11	5,7,9,11	NUM
iajs-3596	134	1	;	;	PUNCT
iajs-3596	134	2	1	1	NUM
iajs-3596	134	3	)	)	PUNCT
iajs-3596	134	4	5/3	5/3	NUM
iajs-3596	134	5	𝑨𝟐	𝑨𝟐	PROPN
iajs-3596	134	6	�	�	PROPN
iajs-3596	134	7	̃	̃	PROPN
iajs-3596	134	8	�	�	NOUN
iajs-3596	134	9	𝟐	𝟐	NUM
iajs-3596	134	10	(	(	PUNCT
iajs-3596	134	11	−4,−2,0	−4,−2,0	PROPN
iajs-3596	134	12	,	,	PUNCT
iajs-3596	134	13	2,4,6,8	2,4,6,8	NUM
iajs-3596	134	14	;	;	PUNCT
iajs-3596	134	15	1	1	NUM
iajs-3596	134	16	)	)	PUNCT
iajs-3596	134	17	(	(	PUNCT
iajs-3596	134	18	−5,−3,−1	−5,−3,−1	PROPN
iajs-3596	134	19	,	,	PUNCT
iajs-3596	134	20	1,3,5,7	1,3,5,7	NUM
iajs-3596	134	21	;	;	PUNCT
iajs-3596	134	22	1	1	NUM
iajs-3596	134	23	)	)	PUNCT
iajs-3596	134	24	(	(	PUNCT
iajs-3596	134	25	0̃;1	0̃;1	NUM
iajs-3596	134	26	)	)	PUNCT
iajs-3596	134	27	(	(	PUNCT
iajs-3596	134	28	1̃;1	1̃;1	NUM
iajs-3596	134	29	)	)	PUNCT
iajs-3596	134	30	(	(	PUNCT
iajs-3596	134	31	−4,−2,0	−4,−2,0	PROPN
iajs-3596	134	32	,	,	PUNCT
iajs-3596	134	33	2,4,6,8	2,4,6,8	NUM
iajs-3596	134	34	;	;	PUNCT
iajs-3596	134	35	1	1	NUM
iajs-3596	134	36	)	)	PUNCT
iajs-3596	134	37	2/1	2/1	NUM
iajs-3596	134	38	by	by	ADP
iajs-3596	134	39	the	the	DET
iajs-3596	134	40	ranking	ranking	NOUN
iajs-3596	134	41	,	,	PUNCT
iajs-3596	134	42	function	function	NOUN
iajs-3596	134	43	techniques	technique	NOUN
iajs-3596	134	44	,	,	PUNCT
iajs-3596	134	45	the	the	DET
iajs-3596	134	46	entering	enter	VERB
iajs-3596	134	47	variable	variable	NOUN
iajs-3596	134	48	=	=	PUNCT
iajs-3596	134	49	𝑚𝑖𝑛{ℜ	𝑚𝑖𝑛{ℜ	PROPN
iajs-3596	134	50	(	(	PUNCT
iajs-3596	134	51	𝜔	𝜔	PROPN
iajs-3596	134	52	′̃⊖	′̃⊖	PROPN
iajs-3596	134	53	�	�	PROPN
iajs-3596	134	54	̃	̃	PROPN
iajs-3596	134	55	�	�	NOUN
iajs-3596	134	56	1),ℜ	1),ℜ	NUM
iajs-3596	134	57	(	(	PUNCT
iajs-3596	134	58	𝜔	𝜔	PROPN
iajs-3596	134	59	′̃⊖	′̃⊖	PROPN
iajs-3596	134	60	�	�	PROPN
iajs-3596	134	61	̃	̃	PROPN
iajs-3596	134	62	�	�	NOUN
iajs-3596	134	63	2	2	NUM
iajs-3596	134	64	)	)	PUNCT
iajs-3596	134	65	}	}	PUNCT
iajs-3596	134	66	=	=	PUNCT
iajs-3596	134	67	𝑚𝑖𝑛{−2,−3	𝑚𝑖𝑛{−2,−3	NUM
iajs-3596	134	68	}	}	PUNCT
iajs-3596	134	69	=	=	PUNCT
iajs-3596	134	70	−3	−3	NOUN
iajs-3596	135	1	the	the	DET
iajs-3596	135	2	leaving	leave	VERB
iajs-3596	135	3	variable	variable	NOUN
iajs-3596	135	4	depends	depend	VERB
iajs-3596	135	5	on	on	ADP
iajs-3596	135	6	𝜃	𝜃	PROPN
iajs-3596	135	7	𝜃	𝜃	NOUN
iajs-3596	135	8	=	=	PUNCT
iajs-3596	135	9	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
iajs-3596	135	10	{	{	PUNCT
iajs-3596	135	11	ℜ(−1,1,3,5,7,9,11	ℜ(−1,1,3,5,7,9,11	NOUN
iajs-3596	135	12	;	;	PUNCT
iajs-3596	135	13	1	1	X
iajs-3596	135	14	)	)	PUNCT
iajs-3596	135	15	ℜ(−5,−3,−1,1,3,5,7	ℜ(−5,−3,−1,1,3,5,7	NOUN
iajs-3596	135	16	;	;	PUNCT
iajs-3596	135	17	1	1	NUM
iajs-3596	135	18	)	)	PUNCT
iajs-3596	135	19	,	,	PUNCT
iajs-3596	135	20	ℜ(−4,−2,0,2,4,6,8	ℜ(−4,−2,0,2,4,6,8	PROPN
iajs-3596	135	21	;	;	PUNCT
iajs-3596	135	22	1	1	X
iajs-3596	135	23	)	)	PUNCT
iajs-3596	135	24	ℜ(−5,−3,−1,1,3,5,7	ℜ(−5,−3,−1,1,3,5,7	NOUN
iajs-3596	135	25	;	;	PUNCT
iajs-3596	135	26	1	1	X
iajs-3596	135	27	)	)	PUNCT
iajs-3596	135	28	}	}	PUNCT
iajs-3596	135	29	=	=	SYM
iajs-3596	135	30	min	min	NOUN
iajs-3596	135	31	{	{	PUNCT
iajs-3596	135	32	5	5	NUM
iajs-3596	135	33	3	3	NUM
iajs-3596	135	34	,	,	PUNCT
iajs-3596	135	35	2	2	NUM
iajs-3596	135	36	1	1	NUM
iajs-3596	135	37	}	}	PUNCT
iajs-3596	135	38	=	=	SYM
iajs-3596	135	39	5	5	NUM
iajs-3596	135	40	3	3	NUM
iajs-3596	135	41	therefore	therefore	ADV
iajs-3596	135	42	,	,	PUNCT
iajs-3596	135	43	the	the	DET
iajs-3596	135	44	entering	enter	VERB
iajs-3596	135	45	variable	variable	NOUN
iajs-3596	135	46	is	be	AUX
iajs-3596	135	47	�	�	PROPN
iajs-3596	135	48	̃	̃	NOUN
iajs-3596	135	49	�	�	NOUN
iajs-3596	135	50	2	2	NUM
iajs-3596	135	51	and	and	CCONJ
iajs-3596	135	52	the	the	DET
iajs-3596	135	53	leaving	leave	VERB
iajs-3596	135	54	variable	variable	NOUN
iajs-3596	135	55	is	be	AUX
iajs-3596	135	56	�	�	PROPN
iajs-3596	135	57	̃	̃	NOUN
iajs-3596	135	58	�	�	NOUN
iajs-3596	135	59	1	1	NUM
iajs-3596	135	60	.	.	PUNCT
iajs-3596	136	1	the	the	DET
iajs-3596	136	2	pivot	pivot	NOUN
iajs-3596	136	3	element	element	NOUN
iajs-3596	136	4	of	of	ADP
iajs-3596	136	5	heptagonal	heptagonal	ADJ
iajs-3596	136	6	fuzzy	fuzzy	ADJ
iajs-3596	136	7	numbers	number	NOUN
iajs-3596	136	8	is	be	AUX
iajs-3596	136	9	:	:	PUNCT
iajs-3596	136	10	(	(	PUNCT
iajs-3596	136	11	−5,−3	−5,−3	ADJ
iajs-3596	136	12	,	,	PUNCT
iajs-3596	136	13	−1,1,3,5,7	−1,1,3,5,7	NOUN
iajs-3596	136	14	;	;	PUNCT
iajs-3596	136	15	1	1	X
iajs-3596	136	16	)	)	PUNCT
iajs-3596	136	17	now	now	ADV
iajs-3596	136	18	,	,	PUNCT
iajs-3596	136	19	use	use	VERB
iajs-3596	136	20	the	the	DET
iajs-3596	136	21	operation	operation	NOUN
iajs-3596	136	22	of	of	ADP
iajs-3596	136	23	the	the	DET
iajs-3596	136	24	heptagonal	heptagonal	ADJ
iajs-3596	136	25	fuzzy	fuzzy	ADJ
iajs-3596	136	26	numbers	number	NOUN
iajs-3596	136	27	to	to	PART
iajs-3596	136	28	find	find	VERB
iajs-3596	136	29	the	the	DET
iajs-3596	136	30	new	new	ADJ
iajs-3596	136	31	table	table	NOUN
iajs-3596	136	32	as	as	SCONJ
iajs-3596	136	33	follows	follow	VERB
iajs-3596	136	34	:	:	PUNCT
iajs-3596	136	35	the	the	DET
iajs-3596	136	36	pivot	pivot	NOUN
iajs-3596	136	37	row	row	VERB
iajs-3596	136	38	𝐴1	𝐴1	PROPN
iajs-3596	137	1	′	′	NUM
iajs-3596	138	1	=	=	PUNCT
iajs-3596	139	1	(	(	PUNCT
iajs-3596	139	2	1	1	NUM
iajs-3596	139	3	3	3	NUM
iajs-3596	139	4	)	)	PUNCT
iajs-3596	139	5	⨂𝐴1	⨂𝐴1	NOUN
iajs-3596	139	6	,	,	PUNCT
iajs-3596	139	7	and	and	CCONJ
iajs-3596	139	8	the	the	DET
iajs-3596	139	9	other	other	ADJ
iajs-3596	139	10	rows	row	NOUN
iajs-3596	139	11	:	:	PUNCT
iajs-3596	139	12	𝐴0	𝐴0	PROPN
iajs-3596	139	13	′	′	NUM
iajs-3596	140	1	=	=	PUNCT
iajs-3596	140	2	𝐴0⨁𝐴1	𝐴0⨁𝐴1	PROPN
iajs-3596	140	3	,	,	PUNCT
iajs-3596	140	4	𝐴2	𝐴2	PROPN
iajs-3596	140	5	′	′	NOUN
iajs-3596	140	6	=	=	PUNCT
iajs-3596	140	7	(	(	PUNCT
iajs-3596	140	8	−1⨂𝐴1	−1⨂𝐴1	PROPN
iajs-3596	140	9	′)⨁𝐴2	′)⨁𝐴2	PROPN
iajs-3596	140	10	the	the	DET
iajs-3596	140	11	new	new	ADJ
iajs-3596	140	12	iteration	iteration	NOUN
iajs-3596	140	13	of	of	ADP
iajs-3596	140	14	the	the	DET
iajs-3596	140	15	fully	fully	ADV
iajs-3596	140	16	fuzzy	fuzzy	ADJ
iajs-3596	140	17	simplex	simplex	NOUN
iajs-3596	140	18	method	method	NOUN
iajs-3596	140	19	,	,	PUNCT
iajs-3596	140	20	as	as	SCONJ
iajs-3596	140	21	shown	show	VERB
iajs-3596	140	22	in	in	ADP
iajs-3596	140	23	table	table	NOUN
iajs-3596	140	24	3	3	NUM
iajs-3596	140	25	:	:	PUNCT
iajs-3596	140	26	table	table	NOUN
iajs-3596	140	27	3	3	NUM
iajs-3596	140	28	.	.	PUNCT
iajs-3596	141	1	new	new	ADJ
iajs-3596	141	2	iteration	iteration	NOUN
iajs-3596	141	3	for	for	ADP
iajs-3596	141	4	the	the	DET
iajs-3596	141	5	ffs	ffs	PROPN
iajs-3596	141	6	method	method	PROPN
iajs-3596	141	7	b.v	b.v	PROPN
iajs-3596	141	8	𝒙𝟏	𝒙𝟏	PROPN
iajs-3596	141	9	𝒙𝟐	𝒙𝟐	PROPN
iajs-3596	141	10	�	�	PROPN
iajs-3596	141	11	̃	̃	PROPN
iajs-3596	141	12	�	�	PROPN
iajs-3596	141	13	𝟏	𝟏	PROPN
iajs-3596	141	14	�	�	PROPN
iajs-3596	141	15	̃	̃	PROPN
iajs-3596	141	16	�	�	PROPN
iajs-3596	141	17	𝟐	𝟐	NUM
iajs-3596	141	18	𝑹.𝑯.	𝑹.𝑯.	PROPN
iajs-3596	141	19	𝑺	𝑺	PROPN
iajs-3596	141	20	𝑨𝟎	𝑨𝟎	NOUN
iajs-3596	141	21	′	′	NUM
iajs-3596	141	22	𝝎′̃⊖	𝝎′̃⊖	PROPN
iajs-3596	141	23	�	�	PROPN
iajs-3596	141	24	̃	̃	PROPN
iajs-3596	141	25	�	�	NOUN
iajs-3596	141	26	𝒋	𝒋	NOUN
iajs-3596	141	27	(	(	PUNCT
iajs-3596	141	28	−19,−13,−7,−1	−19,−13,−7,−1	ADJ
iajs-3596	141	29	,	,	PUNCT
iajs-3596	141	30	5,11,17	5,11,17	NUM
iajs-3596	141	31	;	;	PUNCT
iajs-3596	141	32	1	1	NUM
iajs-3596	141	33	)	)	PUNCT
iajs-3596	141	34	(	(	PUNCT
iajs-3596	141	35	−18,−12,−6,0	−18,−12,−6,0	PROPN
iajs-3596	141	36	,	,	PUNCT
iajs-3596	141	37	6,12,18	6,12,18	NUM
iajs-3596	141	38	;	;	PUNCT
iajs-3596	141	39	1	1	NUM
iajs-3596	141	40	)	)	PUNCT
iajs-3596	141	41	(	(	PUNCT
iajs-3596	141	42	0,0	0,0	NOUN
iajs-3596	141	43	,	,	PUNCT
iajs-3596	141	44	…	…	PUNCT
iajs-3596	141	45	,	,	PUNCT
iajs-3596	141	46	1;1	1;1	NUM
iajs-3596	141	47	)	)	PUNCT
iajs-3596	141	48	(	(	PUNCT
iajs-3596	141	49	0	0	NUM
iajs-3596	141	50	,	,	PUNCT
iajs-3596	141	51	…	…	PUNCT
iajs-3596	141	52	,	,	PUNCT
iajs-3596	141	53	0;1	0;1	NOUN
iajs-3596	141	54	)	)	PUNCT
iajs-3596	141	55	(	(	PUNCT
iajs-3596	141	56	−7.3	−7.3	ADV
iajs-3596	141	57	,	,	PUNCT
iajs-3596	141	58	−2.6,2,6.6	−2.6,2,6.6	NOUN
iajs-3596	141	59	,	,	PUNCT
iajs-3596	141	60	11.3,16,20.6	11.3,16,20.6	NUM
iajs-3596	141	61	;	;	PUNCT
iajs-3596	141	62	1	1	NUM
iajs-3596	141	63	)	)	PUNCT
iajs-3596	141	64	𝑨𝟏	𝑨𝟏	PROPN
iajs-3596	141	65	′	′	NUM
iajs-3596	141	66	�	�	PROPN
iajs-3596	141	67	̃	̃	PROPN
iajs-3596	141	68	�	�	NOUN
iajs-3596	141	69	𝟐	𝟐	NUM
iajs-3596	141	70	(	(	PUNCT
iajs-3596	141	71	−1.6	−1.6	PROPN
iajs-3596	141	72	,	,	PUNCT
iajs-3596	141	73	−1,−0.3,0.3	−1,−0.3,0.3	NUM
iajs-3596	141	74	,	,	PUNCT
iajs-3596	141	75	1,1.6,2.3	1,1.6,2.3	NUM
iajs-3596	141	76	;	;	PUNCT
iajs-3596	141	77	1	1	NUM
iajs-3596	141	78	)	)	PUNCT
iajs-3596	141	79	(	(	PUNCT
iajs-3596	141	80	−1,−0.3,0.3,1	−1,−0.3,0.3,1	PROPN
iajs-3596	141	81	,	,	PUNCT
iajs-3596	141	82	1.6,2.3,3	1.6,2.3,3	NUM
iajs-3596	141	83	;	;	PUNCT
iajs-3596	141	84	1	1	X
iajs-3596	141	85	)	)	PUNCT
iajs-3596	141	86	(	(	PUNCT
iajs-3596	141	87	0,0	0,0	NOUN
iajs-3596	141	88	,	,	PUNCT
iajs-3596	141	89	…	…	PUNCT
iajs-3596	141	90	,	,	PUNCT
iajs-3596	141	91	0.3	0.3	NUM
iajs-3596	141	92	)	)	PUNCT
iajs-3596	141	93	(	(	PUNCT
iajs-3596	141	94	0	0	NUM
iajs-3596	141	95	,	,	PUNCT
iajs-3596	141	96	…	…	PUNCT
iajs-3596	141	97	,	,	PUNCT
iajs-3596	141	98	0	0	NUM
iajs-3596	141	99	;	;	PUNCT
iajs-3596	141	100	1	1	NUM
iajs-3596	141	101	)	)	PUNCT
iajs-3596	141	102	(	(	PUNCT
iajs-3596	141	103	−0.3,0.3,1,1.6	−0.3,0.3,1,1.6	PROPN
iajs-3596	141	104	,	,	PUNCT
iajs-3596	141	105	2.3,3,3.6	2.3,3,3.6	NUM
iajs-3596	141	106	;	;	PUNCT
iajs-3596	141	107	1	1	X
iajs-3596	141	108	)	)	PUNCT
iajs-3596	141	109	𝑨𝟐	𝑨𝟐	PROPN
iajs-3596	141	110	′	′	NUM
iajs-3596	141	111	�	�	PROPN
iajs-3596	141	112	̃	̃	PROPN
iajs-3596	141	113	�	�	NOUN
iajs-3596	141	114	𝟐	𝟐	NUM
iajs-3596	141	115	(	(	PUNCT
iajs-3596	141	116	−6.3	−6.3	PROPN
iajs-3596	141	117	,	,	PUNCT
iajs-3596	141	118	−3.6	−3.6	PROPN
iajs-3596	141	119	,	,	PUNCT
iajs-3596	141	120	−1,1.6	−1,1.6	PROPN
iajs-3596	141	121	,	,	PUNCT
iajs-3596	141	122	4.3,7,9.6	4.3,7,9.6	NOUN
iajs-3596	141	123	;	;	PUNCT
iajs-3596	141	124	1	1	NUM
iajs-3596	141	125	)	)	PUNCT
iajs-3596	141	126	(	(	PUNCT
iajs-3596	141	127	−8,−5.3	−8,−5.3	PROPN
iajs-3596	141	128	,	,	PUNCT
iajs-3596	141	129	−2.6,0	−2.6,0	PRON
iajs-3596	141	130	,	,	PUNCT
iajs-3596	141	131	2.7,5.3,8	2.7,5.3,8	NUM
iajs-3596	141	132	;	;	PUNCT
iajs-3596	141	133	1	1	X
iajs-3596	141	134	)	)	PUNCT
iajs-3596	141	135	(	(	PUNCT
iajs-3596	141	136	−0.3,0	−0.3,0	ADV
iajs-3596	141	137	,	,	PUNCT
iajs-3596	141	138	0	0	NUM
iajs-3596	141	139	,	,	PUNCT
iajs-3596	141	140	…	…	PUNCT
iajs-3596	141	141	,	,	PUNCT
iajs-3596	141	142	0	0	NUM
iajs-3596	141	143	;	;	PUNCT
iajs-3596	141	144	1	1	NUM
iajs-3596	141	145	)	)	PUNCT
iajs-3596	141	146	)	)	PUNCT
iajs-3596	141	147	(	(	PUNCT
iajs-3596	141	148	0,0	0,0	NOUN
iajs-3596	141	149	,	,	PUNCT
iajs-3596	141	150	…	…	PUNCT
iajs-3596	141	151	,	,	PUNCT
iajs-3596	141	152	1	1	NUM
iajs-3596	141	153	;	;	SYM
iajs-3596	141	154	1	1	NUM
iajs-3596	141	155	)	)	PUNCT
iajs-3596	141	156	(	(	PUNCT
iajs-3596	141	157	−7.6,−5,−2.3,0.3	−7.6,−5,−2.3,0.3	INTJ
iajs-3596	141	158	,	,	PUNCT
iajs-3596	141	159	3,5.6,8.3	3,5.6,8.3	NUM
iajs-3596	141	160	;	;	PUNCT
iajs-3596	141	161	1	1	NUM
iajs-3596	141	162	)	)	PUNCT
iajs-3596	141	163	since	since	SCONJ
iajs-3596	141	164	,	,	PUNCT
iajs-3596	141	165	ℜ(	ℜ(	PROPN
iajs-3596	141	166	�	�	PROPN
iajs-3596	141	167	̃	̃	PROPN
iajs-3596	141	168	�	�	PROPN
iajs-3596	141	169	⊖	⊖	SYM
iajs-3596	141	170	�	�	PROPN
iajs-3596	141	171	̃	̃	NOUN
iajs-3596	141	172	�	�	NOUN
iajs-3596	141	173	1	1	NUM
iajs-3596	141	174	)	)	PUNCT
iajs-3596	141	175	<	<	X
iajs-3596	141	176	0	0	NUM
iajs-3596	141	177	,	,	PUNCT
iajs-3596	141	178	then	then	ADV
iajs-3596	141	179	repeated	repeat	VERB
iajs-3596	141	180	the	the	DET
iajs-3596	141	181	steps	step	NOUN
iajs-3596	141	182	to	to	PART
iajs-3596	141	183	find	find	VERB
iajs-3596	141	184	the	the	DET
iajs-3596	141	185	optimal	optimal	ADJ
iajs-3596	141	186	solution	solution	NOUN
iajs-3596	141	187	as	as	SCONJ
iajs-3596	141	188	follows	follow	VERB
iajs-3596	141	189	in	in	ADP
iajs-3596	141	190	table	table	NOUN
iajs-3596	141	191	4	4	NUM
iajs-3596	141	192	.	.	PUNCT
iajs-3596	141	193	ihjpas	ihjpas	PROPN
iajs-3596	141	194	.	.	PUNCT
iajs-3596	142	1	2025	2025	NUM
iajs-3596	142	2	,	,	PUNCT
iajs-3596	142	3	38	38	NUM
iajs-3596	142	4	(	(	PUNCT
iajs-3596	142	5	1	1	NUM
iajs-3596	142	6	)	)	PUNCT
iajs-3596	142	7	425	425	NUM
iajs-3596	142	8	table	table	NOUN
iajs-3596	142	9	4	4	NUM
iajs-3596	142	10	.	.	PUNCT
iajs-3596	143	1	the	the	DET
iajs-3596	143	2	optimal	optimal	ADJ
iajs-3596	143	3	table	table	NOUN
iajs-3596	143	4	solution	solution	NOUN
iajs-3596	143	5	for	for	ADP
iajs-3596	143	6	the	the	DET
iajs-3596	143	7	ffs	ffs	NOUN
iajs-3596	143	8	method	method	PROPN
iajs-3596	143	9	b.v	b.v	PROPN
iajs-3596	143	10	𝒙𝟏	𝒙𝟏	PROPN
iajs-3596	143	11	𝒙𝟐	𝒙𝟐	PROPN
iajs-3596	143	12	�	�	PROPN
iajs-3596	143	13	̃	̃	PROPN
iajs-3596	143	14	�	�	PROPN
iajs-3596	143	15	𝟏	𝟏	PROPN
iajs-3596	143	16	�	�	PROPN
iajs-3596	143	17	̃	̃	PROPN
iajs-3596	143	18	�	�	PROPN
iajs-3596	143	19	𝟐	𝟐	NUM
iajs-3596	143	20	𝑹.𝑯.	𝑹.𝑯.	PROPN
iajs-3596	143	21	𝑺	𝑺	PROPN
iajs-3596	143	22	𝝎′̃	𝝎′̃	ADP
iajs-3596	143	23	⊖	⊖	SYM
iajs-3596	143	24	�	�	PROPN
iajs-3596	143	25	̃	̃	NOUN
iajs-3596	143	26	�	�	NOUN
iajs-3596	143	27	𝒋	𝒋	X
iajs-3596	143	28	(	(	PUNCT
iajs-3596	143	29	−22.7	−22.7	PROPN
iajs-3596	143	30	,	,	PUNCT
iajs-3596	143	31	−15.1	−15.1	ADV
iajs-3596	143	32	,	,	PUNCT
iajs-3596	143	33	−7.6	−7.6	PROPN
iajs-3596	143	34	,	,	PUNCT
iajs-3596	143	35	0	0	NUM
iajs-3596	143	36	,	,	PUNCT
iajs-3596	143	37	6.5,15.2,22.7	6.5,15.2,22.7	NUM
iajs-3596	143	38	;	;	PUNCT
iajs-3596	143	39	1	1	X
iajs-3596	143	40	)	)	PUNCT
iajs-3596	143	41	(	(	PUNCT
iajs-3596	143	42	−22.8	−22.8	NOUN
iajs-3596	143	43	,	,	PUNCT
iajs-3596	143	44	−15.1	−15.1	PROPN
iajs-3596	143	45	,	,	PUNCT
iajs-3596	143	46	−7.5	−7.5	PROPN
iajs-3596	143	47	,	,	PUNCT
iajs-3596	143	48	0	0	NUM
iajs-3596	143	49	,	,	PUNCT
iajs-3596	143	50	7.6,15.18	7.6,15.18	NUM
iajs-3596	143	51	,	,	PUNCT
iajs-3596	143	52	22.8	22.8	NUM
iajs-3596	143	53	;	;	PUNCT
iajs-3596	143	54	1	1	X
iajs-3596	143	55	)	)	PUNCT
iajs-3596	143	56	(	(	PUNCT
iajs-3596	143	57	-0.2,0,0,0	-0.2,0,0,0	NUM
iajs-3596	143	58	0,0,0.2;1	0,0,0.2;1	NOUN
iajs-3596	143	59	)	)	PUNCT
iajs-3596	143	60	(	(	PUNCT
iajs-3596	143	61	0,	0,	NUM
iajs-3596	143	62	…	…	SYM
iajs-3596	143	63	,0.6;1	,0.6;1	NUM
iajs-3596	143	64	)	)	PUNCT
iajs-3596	143	65	(	(	PUNCT
iajs-3596	143	66	−14.9	−14.9	PROPN
iajs-3596	143	67	,	,	PUNCT
iajs-3596	143	68	−7.6	−7.6	PROPN
iajs-3596	143	69	,	,	PUNCT
iajs-3596	143	70	−0.3,6.9	−0.3,6.9	PROPN
iajs-3596	143	71	,	,	PUNCT
iajs-3596	143	72	14.3,21.6,28.9	14.3,21.6,28.9	NUM
iajs-3596	143	73	;	;	PUNCT
iajs-3596	143	74	1	1	NUM
iajs-3596	143	75	)	)	PUNCT
iajs-3596	143	76	�	�	PROPN
iajs-3596	143	77	̃	̃	PROPN
iajs-3596	143	78	�	�	NOUN
iajs-3596	143	79	𝟐	𝟐	NUM
iajs-3596	143	80	(	(	PUNCT
iajs-3596	143	81	−3.5	−3.5	PROPN
iajs-3596	143	82	,	,	PUNCT
iajs-3596	143	83	−2.4	−2.4	PROPN
iajs-3596	143	84	,	,	PUNCT
iajs-3596	143	85	−1.13,0	−1.13,0	NUM
iajs-3596	143	86	,	,	PUNCT
iajs-3596	143	87	1.2,2.3,3.5	1.2,2.3,3.5	NUM
iajs-3596	143	88	;	;	PUNCT
iajs-3596	143	89	1	1	NUM
iajs-3596	143	90	)	)	PUNCT
iajs-3596	143	91	(	(	PUNCT
iajs-3596	143	92	−2.6	−2.6	PROPN
iajs-3596	143	93	,	,	PUNCT
iajs-3596	143	94	−1.36	−1.36	NOUN
iajs-3596	143	95	,	,	PUNCT
iajs-3596	143	96	−0.2,1	−0.2,1	NUM
iajs-3596	143	97	,	,	PUNCT
iajs-3596	143	98	2.1,3.3,4.6	2.1,3.3,4.6	NUM
iajs-3596	143	99	;	;	PUNCT
iajs-3596	143	100	1	1	NUM
iajs-3596	143	101	;	;	SYM
iajs-3596	143	102	1	1	NUM
iajs-3596	143	103	)	)	PUNCT
iajs-3596	143	104	(	(	PUNCT
iajs-3596	143	105	0,0	0,0	NOUN
iajs-3596	143	106	,	,	PUNCT
iajs-3596	143	107	…	…	PUNCT
iajs-3596	143	108	,	,	PUNCT
iajs-3596	143	109	0.06	0.06	NUM
iajs-3596	143	110	;	;	PUNCT
iajs-3596	143	111	1	1	NUM
iajs-3596	143	112	)	)	PUNCT
iajs-3596	143	113	(	(	PUNCT
iajs-3596	143	114	−0.2	−0.2	PROPN
iajs-3596	143	115	,	,	PUNCT
iajs-3596	143	116	…	…	PUNCT
iajs-3596	143	117	,	,	PUNCT
iajs-3596	143	118	0	0	NUM
iajs-3596	143	119	;	;	PUNCT
iajs-3596	143	120	1	1	X
iajs-3596	143	121	)	)	PUNCT
iajs-3596	143	122	(	(	PUNCT
iajs-3596	143	123	−1.9	−1.9	PROPN
iajs-3596	143	124	,	,	PUNCT
iajs-3596	143	125	−0.8,0.4,1.5	−0.8,0.4,1.5	PROPN
iajs-3596	143	126	,	,	PUNCT
iajs-3596	143	127	2.7,4,5.1	2.7,4,5.1	NUM
iajs-3596	143	128	;	;	PUNCT
iajs-3596	143	129	1	1	NUM
iajs-3596	143	130	)	)	PUNCT
iajs-3596	143	131	�	�	PROPN
iajs-3596	143	132	̃	̃	PROPN
iajs-3596	143	133	�	�	NOUN
iajs-3596	143	134	𝟏	𝟏	NUM
iajs-3596	143	135	(	(	PUNCT
iajs-3596	143	136	−3.7	−3.7	PROPN
iajs-3596	143	137	,	,	PUNCT
iajs-3596	143	138	−2.1	−2.1	NUM
iajs-3596	143	139	,	,	PUNCT
iajs-3596	143	140	−0.6	−0.6	PROPN
iajs-3596	143	141	,	,	PUNCT
iajs-3596	143	142	1	1	NUM
iajs-3596	143	143	,	,	PUNCT
iajs-3596	143	144	2.5	2.5	NUM
iajs-3596	143	145	,	,	PUNCT
iajs-3596	143	146	4.2,5.7	4.2,5.7	NUM
iajs-3596	143	147	;	;	PUNCT
iajs-3596	143	148	1	1	X
iajs-3596	143	149	)	)	PUNCT
iajs-3596	143	150	(	(	PUNCT
iajs-3596	143	151	−4.8	−4.8	ADV
iajs-3596	143	152	,	,	PUNCT
iajs-3596	143	153	−3.1	−3.1	PROPN
iajs-3596	143	154	,	,	PUNCT
iajs-3596	143	155	−1.5,0	−1.5,0	PRON
iajs-3596	143	156	,	,	PUNCT
iajs-3596	143	157	1.6,3.18,4.8	1.6,3.18,4.8	NUM
iajs-3596	143	158	;	;	PUNCT
iajs-3596	143	159	1	1	X
iajs-3596	143	160	)	)	PUNCT
iajs-3596	143	161	(	(	PUNCT
iajs-3596	143	162	−0.2,0,0	−0.2,0,0	NOUN
iajs-3596	143	163	,	,	PUNCT
iajs-3596	143	164	…	…	PUNCT
iajs-3596	143	165	,	,	PUNCT
iajs-3596	143	166	0	0	NUM
iajs-3596	143	167	;	;	PUNCT
iajs-3596	143	168	1	1	NUM
iajs-3596	143	169	)	)	PUNCT
iajs-3596	143	170	(	(	PUNCT
iajs-3596	143	171	0,0	0,0	NOUN
iajs-3596	143	172	,	,	PUNCT
iajs-3596	143	173	…	…	PUNCT
iajs-3596	143	174	,	,	PUNCT
iajs-3596	143	175	0.6	0.6	NUM
iajs-3596	143	176	;	;	PUNCT
iajs-3596	143	177	1	1	X
iajs-3596	143	178	)	)	PUNCT
iajs-3596	143	179	(	(	PUNCT
iajs-3596	143	180	−4.5	−4.5	PROPN
iajs-3596	143	181	,	,	PUNCT
iajs-3596	143	182	−3.0	−3.0	PROPN
iajs-3596	143	183	,	,	PUNCT
iajs-3596	143	184	−1.38	−1.38	PROPN
iajs-3596	143	185	,	,	PUNCT
iajs-3596	143	186	0.18	0.18	NUM
iajs-3596	143	187	,	,	PUNCT
iajs-3596	143	188	1.8	1.8	NUM
iajs-3596	143	189	,	,	PUNCT
iajs-3596	143	190	3.36	3.36	NUM
iajs-3596	143	191	,	,	PUNCT
iajs-3596	143	192	4.98	4.98	NUM
iajs-3596	143	193	;	;	PUNCT
iajs-3596	143	194	1	1	X
iajs-3596	143	195	)	)	PUNCT
iajs-3596	143	196	finally	finally	ADV
iajs-3596	143	197	,	,	PUNCT
iajs-3596	143	198	ℜ	ℜ	PROPN
iajs-3596	143	199	(	(	PUNCT
iajs-3596	143	200	�	�	PROPN
iajs-3596	143	201	̃	̃	NOUN
iajs-3596	143	202	�	�	NOUN
iajs-3596	143	203	𝟏	𝟏	NUM
iajs-3596	143	204	)	)	PUNCT
iajs-3596	143	205	=	=	NUM
iajs-3596	143	206	0.204	0.204	NUM
iajs-3596	143	207	,	,	PUNCT
iajs-3596	143	208	ℜ	ℜ	PROPN
iajs-3596	143	209	(	(	PUNCT
iajs-3596	143	210	�	�	PROPN
iajs-3596	143	211	̃	̃	NOUN
iajs-3596	143	212	�	�	NOUN
iajs-3596	143	213	𝟐	𝟐	NUM
iajs-3596	143	214	)	)	PUNCT
iajs-3596	143	215	=	=	NOUN
iajs-3596	143	216	1.5	1.5	NUM
iajs-3596	143	217	and	and	CCONJ
iajs-3596	143	218	ℜ(	ℜ(	ADJ
iajs-3596	143	219	�	�	PROPN
iajs-3596	143	220	̃	̃	PROPN
iajs-3596	143	221	�	�	PROPN
iajs-3596	143	222	⊖	⊖	SYM
iajs-3596	143	223	�	�	PROPN
iajs-3596	143	224	̃	̃	PROPN
iajs-3596	143	225	�	�	NOUN
iajs-3596	143	226	𝑗	𝑗	NOUN
iajs-3596	143	227	)	)	PUNCT
iajs-3596	143	228	≥	≥	NOUN
iajs-3596	143	229	0	0	NUM
iajs-3596	143	230	.so	.so	PUNCT
iajs-3596	143	231	,	,	PUNCT
iajs-3596	143	232	the	the	DET
iajs-3596	143	233	optimal	optimal	ADJ
iajs-3596	143	234	solution	solution	NOUN
iajs-3596	143	235	is	be	AUX
iajs-3596	143	236	reached	reach	VERB
iajs-3596	143	237	.	.	PUNCT
iajs-3596	144	1	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	144	2	�	�	PROPN
iajs-3596	144	3	̃	̃	PROPN
iajs-3596	144	4	�	�	NOUN
iajs-3596	144	5	=	=	SYM
iajs-3596	144	6	(	(	PUNCT
iajs-3596	144	7	−2,0,2,4,6,8,10;1)⨂	−2,0,2,4,6,8,10;1)⨂	PROPN
iajs-3596	144	8	(	(	PUNCT
iajs-3596	144	9	−4.5,−3.0,−1.38,0.18	−4.5,−3.0,−1.38,0.18	PROPN
iajs-3596	144	10	,	,	PUNCT
iajs-3596	144	11	1.8,3.36,4.98;1	1.8,3.36,4.98;1	NUM
iajs-3596	144	12	)	)	PUNCT
iajs-3596	144	13	⨁(0,2,4,6,8,10,12;1	⨁(0,2,4,6,8,10,12;1	NOUN
iajs-3596	144	14	)	)	PUNCT
iajs-3596	144	15	⨂	⨂	PROPN
iajs-3596	144	16	(	(	PUNCT
iajs-3596	144	17	−1.9,−0.8,0.4,1.5	−1.9,−0.8,0.4,1.5	PROPN
iajs-3596	144	18	,	,	PUNCT
iajs-3596	144	19	2.7,4,5.1;10;1	2.7,4,5.1;10;1	NUM
iajs-3596	144	20	)	)	PUNCT
iajs-3596	144	21	⊖(−4,−2,0,2,4,6,8;1	⊖(−4,−2,0,2,4,6,8;1	PROPN
iajs-3596	144	22	)	)	PUNCT
iajs-3596	144	23	(	(	PUNCT
iajs-3596	144	24	0,2,4,6,8,10,12;1)⨂	0,2,4,6,8,10,12;1)⨂	PRON
iajs-3596	144	25	(	(	PUNCT
iajs-3596	144	26	−4.5,−3.0,−1.38,0.18	−4.5,−3.0,−1.38,0.18	PROPN
iajs-3596	144	27	,	,	PUNCT
iajs-3596	144	28	1.8,3.36,4.98;1	1.8,3.36,4.98;1	NUM
iajs-3596	144	29	)	)	PUNCT
iajs-3596	144	30	⨁(3,5,7,9,11,13,15;1	⨁(3,5,7,9,11,13,15;1	PROPN
iajs-3596	144	31	)	)	PUNCT
iajs-3596	144	32	⨂	⨂	PROPN
iajs-3596	144	33	(	(	PUNCT
iajs-3596	144	34	−1.9,−0.8,0.4,1.5	−1.9,−0.8,0.4,1.5	PROPN
iajs-3596	144	35	,	,	PUNCT
iajs-3596	144	36	2.7,4,5.1;10;1	2.7,4,5.1;10;1	NUM
iajs-3596	144	37	)	)	PUNCT
iajs-3596	144	38	⨁(−3,−1,1,3,5,7,9;1	⨁(−3,−1,1,3,5,7,9;1	NOUN
iajs-3596	144	39	)	)	PUNCT
iajs-3596	144	40	𝑀𝑎𝑥	𝑀𝑎𝑥	PROPN
iajs-3596	144	41	�	�	PROPN
iajs-3596	144	42	̃	̃	PROPN
iajs-3596	144	43	�	�	NOUN
iajs-3596	144	44	=	=	SYM
iajs-3596	144	45	ℜ	ℜ	PROPN
iajs-3596	144	46	(	(	PUNCT
iajs-3596	144	47	1,−7.6,−5.16,7.72,32.4,68.88,115;1	1,−7.6,−5.16,7.72,32.4,68.88,115;1	NOUN
iajs-3596	144	48	)	)	PUNCT
iajs-3596	144	49	ℜ	ℜ	PROPN
iajs-3596	144	50	(	(	PUNCT
iajs-3596	144	51	−8.7,−11,−1.72,17.58,49.1,92.6,145.2;1	−8.7,−11,−1.72,17.58,49.1,92.6,145.2;1	PROPN
iajs-3596	144	52	)	)	PUNCT
iajs-3596	144	53	=	=	PUNCT
iajs-3596	144	54	37.5252	37.5252	NUM
iajs-3596	144	55	47.7252	47.7252	NUM
iajs-3596	144	56	=	=	SYM
iajs-3596	144	57	0.7863	0.7863	NUM
iajs-3596	144	58	.	.	PUNCT
iajs-3596	145	1	while	while	SCONJ
iajs-3596	145	2	,	,	PUNCT
iajs-3596	145	3	the	the	DET
iajs-3596	145	4	crisp	crisp	ADJ
iajs-3596	145	5	optimal	optimal	ADJ
iajs-3596	145	6	solution	solution	NOUN
iajs-3596	145	7	of	of	ADP
iajs-3596	145	8	the	the	DET
iajs-3596	145	9	problem	problem	NOUN
iajs-3596	145	10	is	be	AUX
iajs-3596	145	11	�	�	PROPN
iajs-3596	145	12	̃	̃	NOUN
iajs-3596	145	13	�	�	NOUN
iajs-3596	145	14	1	1	NUM
iajs-3596	145	15	=	=	SYM
iajs-3596	145	16	0.2	0.2	NUM
iajs-3596	145	17	,	,	PUNCT
iajs-3596	145	18	�	�	PROPN
iajs-3596	145	19	̃	̃	NOUN
iajs-3596	145	20	�	�	NOUN
iajs-3596	145	21	2	2	NUM
iajs-3596	145	22	=	=	SYM
iajs-3596	145	23	1.6	1.6	NUM
iajs-3596	145	24	,	,	PUNCT
iajs-3596	145	25	𝜔	𝜔	PRON
iajs-3596	145	26	=	=	NUM
iajs-3596	145	27	0.5	0.5	NUM
iajs-3596	145	28	.	.	NOUN
iajs-3596	145	29	8	8	NUM
iajs-3596	145	30	.	.	X
iajs-3596	145	31	conclusion	conclusion	NOUN
iajs-3596	145	32	the	the	DET
iajs-3596	145	33	paper	paper	NOUN
iajs-3596	145	34	proposes	propose	VERB
iajs-3596	145	35	a	a	DET
iajs-3596	145	36	novel	novel	ADJ
iajs-3596	145	37	ranking	ranking	NOUN
iajs-3596	145	38	function	function	NOUN
iajs-3596	145	39	for	for	ADP
iajs-3596	145	40	heptagonal	heptagonal	ADJ
iajs-3596	145	41	fuzzy	fuzzy	ADJ
iajs-3596	145	42	numbers	number	NOUN
iajs-3596	145	43	based	base	VERB
iajs-3596	145	44	on	on	ADP
iajs-3596	145	45	the	the	DET
iajs-3596	145	46	proposed	propose	VERB
iajs-3596	145	47	generalized	generalized	ADJ
iajs-3596	145	48	heptagonal	heptagonal	ADJ
iajs-3596	145	49	membership	membership	NOUN
iajs-3596	145	50	function	function	NOUN
iajs-3596	145	51	.	.	PUNCT
iajs-3596	146	1	the	the	DET
iajs-3596	146	2	algorithm	algorithm	NOUN
iajs-3596	146	3	of	of	ADP
iajs-3596	146	4	the	the	DET
iajs-3596	146	5	fully	fully	ADV
iajs-3596	146	6	fuzzy	fuzzy	ADJ
iajs-3596	146	7	simplex	simplex	NOUN
iajs-3596	146	8	method	method	NOUN
iajs-3596	146	9	with	with	ADP
iajs-3596	146	10	the	the	DET
iajs-3596	146	11	help	help	NOUN
iajs-3596	146	12	of	of	ADP
iajs-3596	146	13	the	the	DET
iajs-3596	146	14	proposed	propose	VERB
iajs-3596	146	15	ranking	ranking	NOUN
iajs-3596	146	16	function	function	NOUN
iajs-3596	146	17	is	be	AUX
iajs-3596	146	18	suitable	suitable	ADJ
iajs-3596	146	19	for	for	ADP
iajs-3596	146	20	finding	find	VERB
iajs-3596	146	21	the	the	DET
iajs-3596	146	22	optimal	optimal	ADJ
iajs-3596	146	23	fuzzy	fuzzy	ADJ
iajs-3596	146	24	solution	solution	NOUN
iajs-3596	146	25	of	of	ADP
iajs-3596	146	26	a	a	DET
iajs-3596	146	27	fully	fully	ADV
iajs-3596	146	28	fuzzy	fuzzy	ADJ
iajs-3596	146	29	fractional	fractional	ADJ
iajs-3596	146	30	linear	linear	ADJ
iajs-3596	146	31	programming	programming	NOUN
iajs-3596	146	32	problem	problem	NOUN
iajs-3596	146	33	.	.	PUNCT
iajs-3596	147	1	through	through	ADP
iajs-3596	147	2	a	a	DET
iajs-3596	147	3	numerical	numerical	ADJ
iajs-3596	147	4	example	example	NOUN
iajs-3596	147	5	,	,	PUNCT
iajs-3596	147	6	it	it	PRON
iajs-3596	147	7	proved	prove	VERB
iajs-3596	147	8	that	that	SCONJ
iajs-3596	147	9	the	the	DET
iajs-3596	147	10	optimal	optimal	ADJ
iajs-3596	147	11	solution	solution	NOUN
iajs-3596	147	12	obtained	obtain	VERB
iajs-3596	147	13	for	for	ADP
iajs-3596	147	14	a	a	DET
iajs-3596	147	15	fully	fully	ADV
iajs-3596	147	16	fuzzy	fuzzy	ADJ
iajs-3596	147	17	fractional	fractional	ADJ
iajs-3596	147	18	linear	linear	ADJ
iajs-3596	147	19	programming	programming	NOUN
iajs-3596	147	20	problem	problem	NOUN
iajs-3596	147	21	using	use	VERB
iajs-3596	147	22	the	the	DET
iajs-3596	147	23	arithmetic	arithmetic	ADJ
iajs-3596	147	24	operations	operation	NOUN
iajs-3596	147	25	of	of	ADP
iajs-3596	147	26	heptagonal	heptagonal	ADJ
iajs-3596	147	27	fuzzy	fuzzy	ADJ
iajs-3596	147	28	numbers	number	NOUN
iajs-3596	147	29	is	be	AUX
iajs-3596	147	30	more	more	ADV
iajs-3596	147	31	efficient	efficient	ADJ
iajs-3596	147	32	according	accord	VERB
iajs-3596	147	33	to	to	ADP
iajs-3596	147	34	the	the	DET
iajs-3596	147	35	crisp	crisp	ADJ
iajs-3596	147	36	solution	solution	NOUN
iajs-3596	147	37	of	of	ADP
iajs-3596	147	38	the	the	DET
iajs-3596	147	39	problem	problem	NOUN
iajs-3596	147	40	.	.	PUNCT
iajs-3596	148	1	acknowledgment	acknowledgment	NOUN
iajs-3596	148	2	we	we	PRON
iajs-3596	148	3	would	would	AUX
iajs-3596	148	4	like	like	VERB
iajs-3596	148	5	to	to	PART
iajs-3596	148	6	express	express	VERB
iajs-3596	148	7	our	our	PRON
iajs-3596	148	8	deep	deep	ADJ
iajs-3596	148	9	appreciation	appreciation	NOUN
iajs-3596	148	10	to	to	ADP
iajs-3596	148	11	the	the	DET
iajs-3596	148	12	reviewers	reviewer	NOUN
iajs-3596	148	13	of	of	ADP
iajs-3596	148	14	this	this	DET
iajs-3596	148	15	work	work	NOUN
iajs-3596	148	16	and	and	CCONJ
iajs-3596	148	17	the	the	DET
iajs-3596	148	18	publishers	publisher	NOUN
iajs-3596	148	19	of	of	ADP
iajs-3596	148	20	the	the	DET
iajs-3596	148	21	"	"	PUNCT
iajs-3596	148	22	ibn	ibn	PROPN
iajs-3596	148	23	al	al	PROPN
iajs-3596	148	24	-	-	PUNCT
iajs-3596	148	25	haitham	haitham	PROPN
iajs-3596	148	26	for	for	ADP
iajs-3596	148	27	pure	pure	ADJ
iajs-3596	148	28	and	and	CCONJ
iajs-3596	148	29	science	science	NOUN
iajs-3596	148	30	journal	journal	NOUN
iajs-3596	148	31	"	"	PUNCT
iajs-3596	148	32	for	for	ADP
iajs-3596	148	33	this	this	DET
iajs-3596	148	34	splendid	splendid	ADJ
iajs-3596	148	35	opportunity	opportunity	NOUN
iajs-3596	148	36	.	.	PUNCT
iajs-3596	149	1	conflict	conflict	NOUN
iajs-3596	149	2	of	of	ADP
iajs-3596	149	3	interest	interest	NOUN
iajs-3596	149	4	the	the	DET
iajs-3596	149	5	authors	author	NOUN
iajs-3596	149	6	declare	declare	VERB
iajs-3596	149	7	that	that	SCONJ
iajs-3596	149	8	they	they	PRON
iajs-3596	149	9	have	have	VERB
iajs-3596	149	10	no	no	DET
iajs-3596	149	11	conflicts	conflict	NOUN
iajs-3596	149	12	of	of	ADP
iajs-3596	149	13	interest	interest	NOUN
iajs-3596	149	14	.	.	PUNCT
iajs-3596	150	1	references	reference	NOUN
iajs-3596	150	2	1	1	NUM
iajs-3596	150	3	.	.	PUNCT
iajs-3596	150	4	zadeh	zadeh	PROPN
iajs-3596	150	5	la	la	PROPN
iajs-3596	150	6	.	.	PROPN
iajs-3596	150	7	fuzzy	fuzzy	ADJ
iajs-3596	150	8	sets	set	NOUN
iajs-3596	150	9	.	.	PUNCT
iajs-3596	151	1	information	information	NOUN
iajs-3596	151	2	and	and	CCONJ
iajs-3596	151	3	control	control	NOUN
iajs-3596	151	4	.	.	PUNCT
iajs-3596	152	1	1965;8(3):338	1965;8(3):338	NUM
iajs-3596	152	2	-	-	SYM
iajs-3596	152	3	353	353	NUM
iajs-3596	152	4	.	.	PUNCT
iajs-3596	153	1	https://doi.org/10.1016/s00199958(65)90241-x	https://doi.org/10.1016/s00199958(65)90241-x	PROPN
iajs-3596	153	2	2	2	X
iajs-3596	153	3	.	.	PUNCT
iajs-3596	153	4	jiang	jiang	PROPN
iajs-3596	153	5	w	w	PROPN
iajs-3596	153	6	,	,	PUNCT
iajs-3596	153	7	luo	luo	PROPN
iajs-3596	153	8	y	y	PROPN
iajs-3596	153	9	,	,	PUNCT
iajs-3596	153	10	qin	qin	PROPN
iajs-3596	153	11	x	x	PROPN
iajs-3596	153	12	,	,	PUNCT
iajs-3596	153	13	zhan	zhan	PROPN
iajs-3596	153	14	.	.	PUNCT
iajs-3596	154	1	an	an	DET
iajs-3596	154	2	improved	improved	ADJ
iajs-3596	154	3	method	method	NOUN
iajs-3596	154	4	to	to	PART
iajs-3596	154	5	rank	rank	VERB
iajs-3596	154	6	generalized	generalize	VERB
iajs-3596	154	7	fuzzy	fuzzy	ADJ
iajs-3596	154	8	numbers	number	NOUN
iajs-3596	154	9	with	with	ADP
iajs-3596	154	10	different	different	ADJ
iajs-3596	154	11	left	left	ADJ
iajs-3596	154	12	heights	height	NOUN
iajs-3596	154	13	and	and	CCONJ
iajs-3596	154	14	right	right	ADJ
iajs-3596	154	15	heights	height	NOUN
iajs-3596	154	16	.	.	PUNCT
iajs-3596	155	1	j	j	PROPN
iajs-3596	155	2	intell	intell	PROPN
iajs-3596	155	3	fuzzy	fuzzy	ADJ
iajs-3596	155	4	syst	syst	NOUN
iajs-3596	155	5	.	.	PUNCT
iajs-3596	156	1	2015;28(5):2343	2015;28(5):2343	PROPN
iajs-3596	156	2	-	-	PUNCT
iajs-3596	156	3	2355	2355	NUM
iajs-3596	156	4	.	.	PUNCT
iajs-3596	157	1	https://doi.org/10.3233/ifshttps://doi.org/10.1016/s0019-9958(65)90241-x	https://doi.org/10.3233/ifshttps://doi.org/10.1016/s0019-9958(65)90241-x	NOUN
iajs-3596	158	1	https://doi.org/10.1016/s0019-9958(65)90241-x	https://doi.org/10.1016/s0019-9958(65)90241-x	PROPN
iajs-3596	158	2	https://doi.org/10.3233/ifs-151639	https://doi.org/10.3233/ifs-151639	PROPN
iajs-3596	158	3	ihjpas	ihjpa	VERB
iajs-3596	158	4	.	.	PUNCT
iajs-3596	159	1	2025	2025	NUM
iajs-3596	159	2	,	,	PUNCT
iajs-3596	159	3	38	38	NUM
iajs-3596	159	4	(	(	PUNCT
iajs-3596	159	5	1	1	NUM
iajs-3596	159	6	)	)	PUNCT
iajs-3596	159	7	426	426	NUM
iajs-3596	159	8	151639	151639	NUM
iajs-3596	159	9	3	3	NUM
iajs-3596	159	10	.	.	PUNCT
iajs-3596	160	1	rathi	rathi	PROPN
iajs-3596	160	2	k	k	PROPN
iajs-3596	160	3	,	,	PUNCT
iajs-3596	160	4	balamohan	balamohan	PROPN
iajs-3596	160	5	s.	s.	PROPN
iajs-3596	160	6	representation	representation	PROPN
iajs-3596	160	7	and	and	CCONJ
iajs-3596	160	8	ranking	ranking	NOUN
iajs-3596	160	9	of	of	ADP
iajs-3596	160	10	fuzzy	fuzzy	ADJ
iajs-3596	160	11	numbers	number	NOUN
iajs-3596	160	12	with	with	ADP
iajs-3596	160	13	heptagonal	heptagonal	ADJ
iajs-3596	160	14	membership	membership	NOUN
iajs-3596	160	15	function	function	NOUN
iajs-3596	160	16	using	use	VERB
iajs-3596	160	17	value	value	NOUN
iajs-3596	160	18	and	and	CCONJ
iajs-3596	160	19	ambiguity	ambiguity	NOUN
iajs-3596	160	20	index	index	NOUN
iajs-3596	160	21	.	.	PUNCT
iajs-3596	161	1	appl	appl	PROPN
iajs-3596	161	2	math	math	PROPN
iajs-3596	161	3	sci	sci	PROPN
iajs-3596	161	4	.	.	PUNCT
iajs-3596	162	1	2014;8(87):4309	2014;8(87):4309	NUM
iajs-3596	162	2	-	-	SYM
iajs-3596	162	3	4321	4321	NUM
iajs-3596	162	4	.	.	PUNCT
iajs-3596	163	1	https://doi.org/10.12988/ams.2014.45363	https://doi.org/10.12988/ams.2014.45363	VERB
iajs-3596	163	2	4	4	NUM
iajs-3596	163	3	.	.	PUNCT
iajs-3596	163	4	namarta	namarta	PROPN
iajs-3596	163	5	ti	ti	PROPN
iajs-3596	163	6	,	,	PUNCT
iajs-3596	163	7	gupta	gupta	PROPN
iajs-3596	163	8	uc	uc	PROPN
iajs-3596	163	9	.	.	PUNCT
iajs-3596	163	10	ranking	rank	VERB
iajs-3596	163	11	of	of	ADP
iajs-3596	163	12	heptagonal	heptagonal	ADJ
iajs-3596	163	13	fuzzy	fuzzy	ADJ
iajs-3596	163	14	numbers	number	NOUN
iajs-3596	163	15	using	use	VERB
iajs-3596	163	16	in	in	ADP
iajs-3596	163	17	-	-	PUNCT
iajs-3596	163	18	center	center	NOUN
iajs-3596	163	19	of	of	ADP
iajs-3596	163	20	centroids	centroid	NOUN
iajs-3596	163	21	.	.	PUNCT
iajs-3596	164	1	int	int	NOUN
iajs-3596	164	2	j	j	PROPN
iajs-3596	164	3	adv	adv	PROPN
iajs-3596	164	4	technol	technol	PROPN
iajs-3596	164	5	eng	eng	PROPN
iajs-3596	164	6	sci	sci	PROPN
iajs-3596	164	7	.	.	PUNCT
iajs-3596	165	1	2017;5(7):248	2017;5(7):248	NUM
iajs-3596	165	2	-	-	SYM
iajs-3596	165	3	255	255	NUM
iajs-3596	165	4	.	.	PUNCT
iajs-3596	166	1	5	5	NUM
iajs-3596	166	2	.	.	PUNCT
iajs-3596	167	1	mohammed	mohammed	PROPN
iajs-3596	167	2	sa	sa	PROPN
iajs-3596	167	3	.	.	PUNCT
iajs-3596	168	1	arithmetic	arithmetic	ADJ
iajs-3596	168	2	operations	operation	NOUN
iajs-3596	168	3	on	on	ADP
iajs-3596	168	4	heptagonal	heptagonal	ADJ
iajs-3596	168	5	fuzzy	fuzzy	ADJ
iajs-3596	168	6	numbers	number	NOUN
iajs-3596	168	7	.	.	PUNCT
iajs-3596	169	1	asian	asian	PROPN
iajs-3596	169	2	res	res	PROPN
iajs-3596	169	3	j	j	PROPN
iajs-3596	169	4	math	math	NOUN
iajs-3596	169	5	.	.	PUNCT
iajs-3596	170	1	2017;2(5):125	2017;2(5):125	X
iajs-3596	170	2	.	.	PUNCT
iajs-3596	171	1	https://doi.org/10.9734/arjom/2017/31578	https://doi.org/10.9734/arjom/2017/31578	PROPN
iajs-3596	171	2	6	6	NUM
iajs-3596	171	3	.	.	X
iajs-3596	172	1	loganathan	loganathan	PROPN
iajs-3596	172	2	t	t	PROPN
iajs-3596	172	3	,	,	PUNCT
iajs-3596	172	4	ganesan	ganesan	PROPN
iajs-3596	172	5	k.	k.	PROPN
iajs-3596	173	1	a	a	DET
iajs-3596	173	2	solution	solution	NOUN
iajs-3596	173	3	approach	approach	NOUN
iajs-3596	173	4	to	to	ADP
iajs-3596	173	5	fully	fully	ADV
iajs-3596	173	6	fuzzy	fuzzy	ADJ
iajs-3596	173	7	linear	linear	ADJ
iajs-3596	173	8	fractional	fractional	ADJ
iajs-3596	173	9	programming	programming	NOUN
iajs-3596	173	10	problems	problem	NOUN
iajs-3596	173	11	.	.	PUNCT
iajs-3596	174	1	j	j	PROPN
iajs-3596	174	2	phys	phy	NOUN
iajs-3596	174	3	conf	conf	NOUN
iajs-3596	174	4	ser	ser	NOUN
iajs-3596	174	5	.	.	PUNCT
iajs-3596	175	1	2019;1377:012040.https://doi.org/10.1088/1742	2019;1377:012040.https://doi.org/10.1088/1742	NUM
iajs-3596	175	2	-	-	SYM
iajs-3596	175	3	6596/1377/1/012040	6596/1377/1/012040	NUM
iajs-3596	175	4	7	7	NUM
iajs-3596	175	5	.	.	PUNCT
iajs-3596	175	6	loganathan	loganathan	PROPN
iajs-3596	175	7	t	t	PROPN
iajs-3596	175	8	,	,	PUNCT
iajs-3596	175	9	ganesan	ganesan	PROPN
iajs-3596	175	10	k.	k.	PROPN
iajs-3596	175	11	solution	solution	NOUN
iajs-3596	175	12	of	of	ADP
iajs-3596	175	13	fully	fully	ADV
iajs-3596	175	14	fuzzy	fuzzy	ADJ
iajs-3596	175	15	linear	linear	ADJ
iajs-3596	175	16	fractional	fractional	ADJ
iajs-3596	175	17	programming	programming	NOUN
iajs-3596	175	18	problem	problem	NOUN
iajs-3596	175	19	-	-	PUNCT
iajs-3596	175	20	a	a	DET
iajs-3596	175	21	simple	simple	ADJ
iajs-3596	175	22	approach	approach	NOUN
iajs-3596	175	23	.	.	PUNCT
iajs-3596	176	1	iop	iop	PROPN
iajs-3596	176	2	conf	conf	PROPN
iajs-3596	176	3	ser	ser	NOUN
iajs-3596	176	4	mater	mater	NOUN
iajs-3596	176	5	sci	sci	PROPN
iajs-3596	176	6	eng	eng	PROPN
iajs-3596	176	7	.	.	PROPN
iajs-3596	176	8	2021;1130:012047	2021;1130:012047	NUM
iajs-3596	176	9	.	.	PUNCT
iajs-3596	177	1	https://doi.org/10.1088/1757899x/1130/1/012047	https://doi.org/10.1088/1757899x/1130/1/012047	NOUN
iajs-3596	177	2	8	8	NUM
iajs-3596	177	3	.	.	PUNCT
iajs-3596	178	1	alharbi	alharbi	PROPN
iajs-3596	178	2	mg	mg	PROPN
iajs-3596	178	3	,	,	PUNCT
iajs-3596	178	4	khalifa	khalifa	PROPN
iajs-3596	178	5	ha	ha	INTJ
iajs-3596	178	6	.	.	PROPN
iajs-3596	179	1	on	on	ADP
iajs-3596	179	2	solutions	solution	NOUN
iajs-3596	179	3	of	of	ADP
iajs-3596	179	4	fully	fully	ADV
iajs-3596	179	5	fuzzy	fuzzy	ADJ
iajs-3596	179	6	linear	linear	ADJ
iajs-3596	179	7	fractional	fractional	ADJ
iajs-3596	179	8	programming	programming	NOUN
iajs-3596	179	9	problems	problem	NOUN
iajs-3596	179	10	using	use	VERB
iajs-3596	179	11	close	close	ADJ
iajs-3596	179	12	interval	interval	NOUN
iajs-3596	179	13	approximation	approximation	NOUN
iajs-3596	179	14	for	for	ADP
iajs-3596	179	15	normalized	normalize	VERB
iajs-3596	179	16	heptagonal	heptagonal	ADJ
iajs-3596	179	17	fuzzy	fuzzy	ADJ
iajs-3596	179	18	numbers	number	NOUN
iajs-3596	179	19	.	.	PUNCT
iajs-3596	180	1	appl	appl	PROPN
iajs-3596	180	2	math	math	PROPN
iajs-3596	180	3	inf	inf	PROPN
iajs-3596	180	4	sci	sci	PROPN
iajs-3596	180	5	.	.	PUNCT
iajs-3596	180	6	2021;15(4):471	2021;15(4):471	NUM
iajs-3596	180	7	-	-	SYM
iajs-3596	180	8	477	477	NUM
iajs-3596	180	9	.	.	PUNCT
iajs-3596	181	1	9	9	NUM
iajs-3596	181	2	.	.	X
iajs-3596	181	3	mitlf	mitlf	PROPN
iajs-3596	181	4	rj	rj	PROPN
iajs-3596	181	5	.	.	PUNCT
iajs-3596	182	1	an	an	DET
iajs-3596	182	2	efficient	efficient	ADJ
iajs-3596	182	3	algorithm	algorithm	NOUN
iajs-3596	182	4	for	for	ADP
iajs-3596	182	5	fuzzy	fuzzy	ADJ
iajs-3596	182	6	linear	linear	ADJ
iajs-3596	182	7	fractional	fractional	ADJ
iajs-3596	182	8	programming	programming	NOUN
iajs-3596	182	9	problems	problem	NOUN
iajs-3596	182	10	via	via	ADP
iajs-3596	182	11	ranking	rank	VERB
iajs-3596	182	12	function	function	NOUN
iajs-3596	182	13	.	.	PUNCT
iajs-3596	183	1	baghdad	baghdad	PROPN
iajs-3596	183	2	sci	sci	PROPN
iajs-3596	183	3	j.	j.	PROPN
iajs-3596	184	1	2021;19(1):71	2021;19(1):71	PROPN
iajs-3596	184	2	-	-	PUNCT
iajs-3596	184	3	76	76	NUM
iajs-3596	184	4	.	.	PUNCT
iajs-3596	185	1	https://doi.org/10.21123/bsj.2022.19.1.0071	https://doi.org/10.21123/bsj.2022.19.1.0071	ADP
iajs-3596	185	2	10	10	NUM
iajs-3596	185	3	.	.	PUNCT
iajs-3596	186	1	mitlif	mitlif	PROPN
iajs-3596	186	2	rj	rj	PROPN
iajs-3596	186	3	,	,	PUNCT
iajs-3596	186	4	hussein	hussein	PROPN
iajs-3596	186	5	ih	ih	PRON
iajs-3596	186	6	.	.	PUNCT
iajs-3596	187	1	ranking	rank	VERB
iajs-3596	187	2	function	function	NOUN
iajs-3596	187	3	to	to	PART
iajs-3596	187	4	solve	solve	VERB
iajs-3596	187	5	a	a	DET
iajs-3596	187	6	fuzzy	fuzzy	ADJ
iajs-3596	187	7	multiple	multiple	ADJ
iajs-3596	187	8	objective	objective	ADJ
iajs-3596	187	9	function	function	NOUN
iajs-3596	187	10	.	.	PUNCT
iajs-3596	188	1	baghdad	baghdad	PROPN
iajs-3596	188	2	sci	sci	PROPN
iajs-3596	188	3	j.	j.	PROPN
iajs-3596	188	4	2021;18(1):0144	2021;18(1):0144	PROPN
iajs-3596	188	5	.	.	PUNCT
iajs-3596	189	1	https://doi.org/10.21123/bsj.2021.18.1.0144	https://doi.org/10.21123/bsj.2021.18.1.0144	PROPN
iajs-3596	189	2	11	11	NUM
iajs-3596	189	3	.	.	PUNCT
iajs-3596	189	4	gupta	gupta	PROPN
iajs-3596	189	5	d	d	PROPN
iajs-3596	189	6	,	,	PUNCT
iajs-3596	189	7	jain	jain	PROPN
iajs-3596	189	8	p	p	NOUN
iajs-3596	189	9	,	,	PUNCT
iajs-3596	189	10	gupta	gupta	PROPN
iajs-3596	189	11	g.	g.	PROPN
iajs-3596	189	12	new	new	ADJ
iajs-3596	189	13	ranking	ranking	NOUN
iajs-3596	189	14	function	function	NOUN
iajs-3596	189	15	introduced	introduce	VERB
iajs-3596	189	16	to	to	PART
iajs-3596	189	17	solve	solve	VERB
iajs-3596	189	18	fully	fully	ADV
iajs-3596	189	19	fuzzy	fuzzy	ADJ
iajs-3596	189	20	linear	linear	ADJ
iajs-3596	189	21	fractional	fractional	ADJ
iajs-3596	189	22	programming	programming	NOUN
iajs-3596	189	23	problem	problem	NOUN
iajs-3596	189	24	.	.	PUNCT
iajs-3596	190	1	ganita	ganita	NOUN
iajs-3596	190	2	.	.	PUNCT
iajs-3596	191	1	2021;71(2):29	2021;71(2):29	NUM
iajs-3596	191	2	-	-	SYM
iajs-3596	191	3	35	35	NUM
iajs-3596	191	4	12	12	NUM
iajs-3596	191	5	.	.	PUNCT
iajs-3596	192	1	sapan	sapan	PROPN
iajs-3596	192	2	kd	kd	PROPN
iajs-3596	192	3	,	,	PUNCT
iajs-3596	192	4	edalatpanah	edalatpanah	PROPN
iajs-3596	192	5	s	s	PROPN
iajs-3596	192	6	,	,	PUNCT
iajs-3596	192	7	mandal	mandal	ADJ
iajs-3596	192	8	t.	t.	PROPN
iajs-3596	192	9	development	development	NOUN
iajs-3596	192	10	of	of	ADP
iajs-3596	192	11	unrestricted	unrestricted	ADJ
iajs-3596	192	12	fuzzy	fuzzy	ADJ
iajs-3596	192	13	linear	linear	ADJ
iajs-3596	192	14	fractional	fractional	ADJ
iajs-3596	192	15	programming	programming	NOUN
iajs-3596	192	16	problems	problem	NOUN
iajs-3596	192	17	applied	apply	VERB
iajs-3596	192	18	in	in	ADP
iajs-3596	192	19	real	real	ADJ
iajs-3596	192	20	case	case	NOUN
iajs-3596	192	21	.	.	PUNCT
iajs-3596	193	1	fuzzy	fuzzy	PROPN
iajs-3596	193	2	inf	inf	PROPN
iajs-3596	193	3	eng	eng	PROPN
iajs-3596	193	4	.	.	PUNCT
iajs-3596	194	1	2021;13(2):184	2021;13(2):184	X
iajs-3596	194	2	-	-	SYM
iajs-3596	194	3	195	195	NUM
iajs-3596	194	4	.	.	PUNCT
iajs-3596	195	1	https://doi.org/10.1080/16168658.2021.1915553	https://doi.org/10.1080/16168658.2021.1915553	PROPN
iajs-3596	195	2	13	13	NUM
iajs-3596	195	3	.	.	PUNCT
iajs-3596	196	1	rebaz	rebaz	PROPN
iajs-3596	196	2	m	m	PROPN
iajs-3596	196	3	,	,	PUNCT
iajs-3596	196	4	nejmaddin	nejmaddin	VERB
iajs-3596	196	5	s.	s.	PROPN
iajs-3596	196	6	efficient	efficient	ADJ
iajs-3596	196	7	ranking	ranking	NOUN
iajs-3596	196	8	function	function	NOUN
iajs-3596	196	9	methods	method	NOUN
iajs-3596	196	10	for	for	ADP
iajs-3596	196	11	fully	fully	ADV
iajs-3596	196	12	fuzzy	fuzzy	ADJ
iajs-3596	196	13	linear	linear	ADJ
iajs-3596	196	14	fractional	fractional	ADJ
iajs-3596	196	15	programming	programming	NOUN
iajs-3596	196	16	problems	problem	NOUN
iajs-3596	196	17	via	via	ADP
iajs-3596	196	18	life	life	NOUN
iajs-3596	196	19	problems	problem	NOUN
iajs-3596	196	20	.	.	PUNCT
iajs-3596	197	1	wseas	wseas	VERB
iajs-3596	197	2	trans	trans	PROPN
iajs-3596	197	3	math	math	PROPN
iajs-3596	197	4	.	.	PUNCT
iajs-3596	198	1	2022;21:707	2022;21:707	X
iajs-3596	198	2	-	-	PUNCT
iajs-3596	198	3	717	717	NUM
iajs-3596	198	4	.	.	PUNCT
iajs-3596	199	1	14	14	NUM
iajs-3596	199	2	.	.	PUNCT
iajs-3596	200	1	sapan	sapan	PROPN
iajs-3596	200	2	kd	kd	PROPN
iajs-3596	200	3	,	,	PUNCT
iajs-3596	200	4	tarni	tarni	PROPN
iajs-3596	200	5	m.	m.	VERB
iajs-3596	200	6	a	a	DET
iajs-3596	200	7	new	new	ADJ
iajs-3596	200	8	model	model	NOUN
iajs-3596	200	9	for	for	ADP
iajs-3596	200	10	solving	solve	VERB
iajs-3596	200	11	fuzzy	fuzzy	ADJ
iajs-3596	200	12	linear	linear	ADJ
iajs-3596	200	13	fractional	fractional	ADJ
iajs-3596	200	14	programming	programming	NOUN
iajs-3596	200	15	problem	problem	NOUN
iajs-3596	200	16	with	with	ADP
iajs-3596	200	17	ranking	ranking	ADJ
iajs-3596	200	18	function	function	NOUN
iajs-3596	200	19	.	.	PUNCT
iajs-3596	201	1	j	j	PROPN
iajs-3596	201	2	appl	appl	PROPN
iajs-3596	201	3	res	res	PROPN
iajs-3596	201	4	ind	ind	PROPN
iajs-3596	201	5	eng	eng	PROPN
iajs-3596	201	6	.	.	PUNCT
iajs-3596	202	1	2017;4(2):89	2017;4(2):89	NUM
iajs-3596	202	2	-	-	SYM
iajs-3596	202	3	96	96	NUM
iajs-3596	202	4	.	.	NOUN
iajs-3596	203	1	15	15	NUM
iajs-3596	203	2	.	.	PUNCT
iajs-3596	204	1	waleed	waleed	PROPN
iajs-3596	204	2	me	i	PRON
iajs-3596	204	3	,	,	PUNCT
iajs-3596	204	4	hadi	hadi	PROPN
iajs-3596	204	5	n.	n.	PROPN
iajs-3596	204	6	a	a	DET
iajs-3596	204	7	new	new	ADJ
iajs-3596	204	8	approach	approach	NOUN
iajs-3596	204	9	to	to	ADP
iajs-3596	204	10	multi	multi	ADJ
iajs-3596	204	11	-	-	ADJ
iajs-3596	204	12	objective	objective	ADJ
iajs-3596	204	13	fuzzy	fuzzy	ADJ
iajs-3596	204	14	fractional	fractional	ADJ
iajs-3596	204	15	linear	linear	ADJ
iajs-3596	204	16	programming	programming	NOUN
iajs-3596	204	17	.	.	PUNCT
iajs-3596	205	1	j	j	PROPN
iajs-3596	205	2	appl	appl	PROPN
iajs-3596	205	3	res	res	PROPN
iajs-3596	205	4	ind	ind	PROPN
iajs-3596	205	5	eng	eng	PROPN
iajs-3596	205	6	.	.	PUNCT
iajs-3596	206	1	2024;available	2024;available	NUM
iajs-3596	206	2	online	online	ADV
iajs-3596	206	3	from	from	ADP
iajs-3596	206	4	14	14	NUM
iajs-3596	206	5	september	september	PROPN
iajs-3596	206	6	.	.	PUNCT
iajs-3596	207	1	https://doi.org/10.22105/jarie.2024.458661.1611	https://doi.org/10.22105/jarie.2024.458661.1611	NUM
iajs-3596	207	2	16	16	NUM
iajs-3596	207	3	.	.	PUNCT
iajs-3596	208	1	das	das	PROPN
iajs-3596	208	2	sk	sk	PROPN
iajs-3596	208	3	,	,	PUNCT
iajs-3596	208	4	edalatpanah	edalatpanah	PROPN
iajs-3596	208	5	sa	sa	PROPN
iajs-3596	208	6	,	,	PUNCT
iajs-3596	208	7	mandal	mandal	PROPN
iajs-3596	208	8	t.	t.	PROPN
iajs-3596	208	9	a	a	DET
iajs-3596	208	10	new	new	ADJ
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iajs-3596	208	12	for	for	ADP
iajs-3596	208	13	solving	solve	VERB
iajs-3596	208	14	linear	linear	ADJ
iajs-3596	208	15	fractional	fractional	ADJ
iajs-3596	208	16	programming	programming	NOUN
iajs-3596	208	17	problem	problem	NOUN
iajs-3596	208	18	with	with	ADP
iajs-3596	208	19	absolute	absolute	ADJ
iajs-3596	208	20	value	value	NOUN
iajs-3596	208	21	functions	function	NOUN
iajs-3596	208	22	.	.	PUNCT
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iajs-3596	209	2	j	j	PROPN
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iajs-3596	209	5	.	.	PUNCT
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iajs-3596	210	2	-	-	PUNCT
iajs-3596	210	3	466	466	NUM
iajs-3596	210	4	.	.	PUNCT
iajs-3596	211	1	17	17	NUM
iajs-3596	211	2	.	.	PUNCT
iajs-3596	212	1	kumar	kumar	PROPN
iajs-3596	212	2	-	-	PUNCT
iajs-3596	212	3	das	das	PROPN
iajs-3596	212	4	s.	s.	PROPN
iajs-3596	212	5	new	new	ADJ
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iajs-3596	212	7	for	for	ADP
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iajs-3596	212	9	fuzzy	fuzzy	ADJ
iajs-3596	212	10	linear	linear	ADJ
iajs-3596	212	11	fractional	fractional	ADJ
iajs-3596	212	12	programming	programming	NOUN
iajs-3596	212	13	problem	problem	NOUN
iajs-3596	212	14	with	with	ADP
iajs-3596	212	15	new	new	ADJ
iajs-3596	212	16	ranking	ranking	ADJ
iajs-3596	212	17	function	function	NOUN
iajs-3596	212	18	.	.	PUNCT
iajs-3596	213	1	int	int	PROPN
iajs-3596	213	2	j	j	PROPN
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iajs-3596	213	6	.	.	PROPN
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iajs-3596	214	2	-	-	SYM
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iajs-3596	214	4	.	.	PUNCT
iajs-3596	215	1	https://doi.org/10.1093/ijrie/8af523182c9a4dc68d3c96770819c024	https://doi.org/10.1093/ijrie/8af523182c9a4dc68d3c96770819c024	NOUN
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iajs-3596	215	3	.	.	PUNCT
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iajs-3596	216	2	,	,	PUNCT
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iajs-3596	216	5	,	,	PUNCT
iajs-3596	216	6	kareem	kareem	PROPN
iajs-3596	216	7	gh	gh	PROPN
iajs-3596	216	8	,	,	PUNCT
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iajs-3596	216	11	.	.	PUNCT
iajs-3596	217	1	ranking	rank	VERB
iajs-3596	217	2	fuzzy	fuzzy	ADJ
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iajs-3596	217	8	and	and	CCONJ
iajs-3596	217	9	its	its	PRON
iajs-3596	217	10	application	application	NOUN
iajs-3596	217	11	to	to	ADP
iajs-3596	217	12	fuzzy	fuzzy	ADJ
iajs-3596	217	13	linear	linear	ADJ
iajs-3596	217	14	fractional	fractional	ADJ
iajs-3596	217	15	programming	programming	NOUN
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iajs-3596	217	17	.	.	PUNCT
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iajs-3596	218	2	j	j	PROPN
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iajs-3596	218	5	.	.	PUNCT
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iajs-3596	219	2	-	-	SYM
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iajs-3596	219	4	.	.	PUNCT
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iajs-3596	220	2	.	.	PUNCT
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iajs-3596	220	8	.	.	PUNCT
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iajs-3596	221	4	problems	problem	NOUN
iajs-3596	221	5	by	by	ADP
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iajs-3596	221	8	functions	function	NOUN
iajs-3596	221	9	.	.	PUNCT
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iajs-3596	222	5	-	-	PUNCT
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iajs-3596	222	9	.	.	PUNCT
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iajs-3596	223	3	,	,	PUNCT
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iajs-3596	223	5	-	-	PUNCT
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iajs-3596	223	8	.	.	PUNCT
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iajs-3596	224	9	programming	programming	NOUN
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iajs-3596	226	2	-	-	SYM
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iajs-3596	226	4	.	.	PUNCT
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iajs-3596	227	1	israa	israa	PROPN
iajs-3596	227	2	hh	hh	PROPN
iajs-3596	227	3	,	,	PUNCT
iajs-3596	227	4	al	al	PROPN
iajs-3596	227	5	-	-	PUNCT
iajs-3596	227	6	kanani	kanani	PROPN
iajs-3596	227	7	ih	ih	X
iajs-3596	227	8	.	.	PUNCT
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iajs-3596	228	2	novel	novel	NOUN
iajs-3596	228	3	ranking	ranking	NOUN
iajs-3596	228	4	function	function	NOUN
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iajs-3596	228	7	fully	fully	ADV
iajs-3596	228	8	fuzzy	fuzzy	ADJ
iajs-3596	228	9	fractional	fractional	ADJ
iajs-3596	228	10	linear	linear	NOUN
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iajs-3596	228	14	https://doi.org/10.1088/1757-899x/1130/1/012047	https://doi.org/10.1088/1757-899x/1130/1/012047	PROPN
iajs-3596	228	15	https://doi.org/10.1088/1757-899x/1130/1/012047	https://doi.org/10.1088/1757-899x/1130/1/012047	NOUN
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iajs-3596	229	3	https://doi.org/10.22105/jarie.2024.458661.1611	https://doi.org/10.22105/jarie.2024.458661.1611	NUM
iajs-3596	229	4	https://doi.org/10.1093/ijrie/8af523182c9a4dc68d3c96770819c024	https://doi.org/10.1093/ijrie/8af523182c9a4dc68d3c96770819c024	PROPN
iajs-3596	229	5	ihjpas	ihjpa	NOUN
iajs-3596	229	6	.	.	PUNCT
iajs-3596	230	1	2025	2025	NUM
iajs-3596	230	2	,	,	PUNCT
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iajs-3596	230	5	1	1	NUM
iajs-3596	230	6	)	)	PUNCT
iajs-3596	230	7	427	427	NUM
iajs-3596	230	8	programming	programming	NOUN
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iajs-3596	230	10	.	.	PUNCT
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iajs-3596	231	2	sci	sci	PROPN
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iajs-3596	231	5	-	-	PUNCT
iajs-3596	231	6	2402	2402	NUM
iajs-3596	231	7	.	.	PUNCT
iajs-3596	232	1	https://doi.org/10.21123/bsj.2023.8243	https://doi.org/10.21123/bsj.2023.8243	NOUN
iajs-3596	232	2	22	22	NUM
iajs-3596	232	3	.	.	PUNCT
iajs-3596	233	1	jaber	jaber	PROPN
iajs-3596	233	2	wk	wk	PROPN
iajs-3596	233	3	,	,	PUNCT
iajs-3596	233	4	israa	israa	ADJ
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iajs-3596	233	9	.	.	PROPN
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iajs-3596	233	11	of	of	ADP
iajs-3596	233	12	the	the	DET
iajs-3596	233	13	complementary	complementary	ADJ
iajs-3596	233	14	method	method	NOUN
iajs-3596	233	15	to	to	PART
iajs-3596	233	16	solve	solve	VERB
iajs-3596	233	17	fractional	fractional	ADJ
iajs-3596	233	18	linear	linear	ADJ
iajs-3596	233	19	programming	programming	NOUN
iajs-3596	233	20	problems	problem	NOUN
iajs-3596	233	21	.	.	PUNCT
iajs-3596	234	1	j	j	PROPN
iajs-3596	234	2	phys	phy	NOUN
iajs-3596	234	3	conf	conf	NOUN
iajs-3596	234	4	ser	ser	NOUN
iajs-3596	234	5	.	.	PROPN
iajs-3596	234	6	2021	2021	NUM
iajs-3596	234	7	;	;	PUNCT
iajs-3596	234	8	1897:012053	1897:012053	NUM
iajs-3596	234	9	.	.	PUNCT
iajs-3596	235	1	https://doi.org/10.1088/17426596/1897/1/012053	https://doi.org/10.1088/17426596/1897/1/012053	PROPN
iajs-3596	235	2	23	23	NUM
iajs-3596	235	3	.	.	PUNCT
iajs-3596	236	1	deb	deb	PROPN
iajs-3596	236	2	m	m	PROPN
iajs-3596	236	3	,	,	PUNCT
iajs-3596	236	4	de	de	X
iajs-3596	236	5	pk	pk	PROPN
iajs-3596	236	6	.	.	NOUN
iajs-3596	236	7	optimal	optimal	ADJ
iajs-3596	236	8	solution	solution	NOUN
iajs-3596	236	9	of	of	ADP
iajs-3596	236	10	a	a	DET
iajs-3596	236	11	fully	fully	ADV
iajs-3596	236	12	fuzzy	fuzzy	ADJ
iajs-3596	236	13	linear	linear	ADJ
iajs-3596	236	14	fractional	fractional	ADJ
iajs-3596	236	15	programming	programming	NOUN
iajs-3596	236	16	problem	problem	NOUN
iajs-3596	236	17	by	by	ADP
iajs-3596	236	18	using	use	VERB
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iajs-3596	236	22	representation	representation	NOUN
iajs-3596	236	23	method	method	NOUN
iajs-3596	236	24	.	.	PUNCT
iajs-3596	237	1	appl	appl	PROPN
iajs-3596	237	2	math	math	PROPN
iajs-3596	237	3	.	.	PUNCT
iajs-3596	238	1	2015;10(1):571	2015;10(1):571	NUM
iajs-3596	238	2	-	-	SYM
iajs-3596	238	3	587	587	NUM
iajs-3596	238	4	.	.	PUNCT
iajs-3596	239	1	https://doi.org/10.21123/bsj.2023.8243	https://doi.org/10.21123/bsj.2023.8243	NOUN
iajs-3596	239	2	https://doi.org/10.1088/1742-6596/1897/1/012053	https://doi.org/10.1088/1742-6596/1897/1/012053	PROPN
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