id	sid	tid	token	lemma	pos
iajs-2765	1	1	59	59	NUM
iajs-2765	1	2	this	this	DET
iajs-2765	1	3	work	work	NOUN
iajs-2765	1	4	is	be	AUX
iajs-2765	1	5	licensed	license	VERB
iajs-2765	1	6	under	under	ADP
iajs-2765	1	7	a	a	DET
iajs-2765	1	8	creative	creative	ADJ
iajs-2765	1	9	commons	common	NOUN
iajs-2765	1	10	attribution	attribution	NOUN
iajs-2765	1	11	4.0	4.0	NUM
iajs-2765	1	12	international	international	ADJ
iajs-2765	1	13	license	license	NOUN
iajs-2765	1	14	.	.	PUNCT
iajs-2765	2	1	modified	modify	VERB
iajs-2765	2	2	ranking	rank	VERB
iajs-2765	2	3	function	function	NOUN
iajs-2765	2	4	to	to	PART
iajs-2765	2	5	compute	compute	VERB
iajs-2765	2	6	fuzzy	fuzzy	ADJ
iajs-2765	2	7	matrix	matrix	NOUN
iajs-2765	2	8	games	game	NOUN
iajs-2765	2	9	rasha	rasha	PROPN
iajs-2765	2	10	jalal	jalal	PROPN
iajs-2765	2	11	mitlif	mitlif	PROPN
iajs-2765	2	12	department	department	PROPN
iajs-2765	2	13	of	of	ADP
iajs-2765	2	14	applied	apply	VERB
iajs-2765	2	15	sciences	science	NOUN
iajs-2765	2	16	,	,	PUNCT
iajs-2765	2	17	branch	branch	NOUN
iajs-2765	2	18	of	of	ADP
iajs-2765	2	19	mathematics	mathematic	NOUN
iajs-2765	2	20	and	and	CCONJ
iajs-2765	2	21	computer	computer	NOUN
iajs-2765	2	22	applications	application	NOUN
iajs-2765	2	23	,	,	PUNCT
iajs-2765	2	24	university	university	NOUN
iajs-2765	2	25	of	of	ADP
iajs-2765	2	26	technology	technology	NOUN
iajs-2765	2	27	,	,	PUNCT
iajs-2765	2	28	baghdad	baghdad	PROPN
iajs-2765	2	29	,	,	PUNCT
iajs-2765	2	30	iraq	iraq	PROPN
iajs-2765	2	31	.	.	PUNCT
iajs-2765	3	1	rasha.j.mitlif@uotechnology.edu.iq	rasha.j.mitlif@uotechnology.edu.iq	VERB
iajs-2765	3	2	abstract	abstract	ADJ
iajs-2765	3	3	game	game	NOUN
iajs-2765	3	4	theory	theory	NOUN
iajs-2765	3	5	problems	problem	NOUN
iajs-2765	3	6	(	(	PUNCT
iajs-2765	3	7	gtp	gtp	NOUN
iajs-2765	3	8	)	)	PUNCT
iajs-2765	3	9	frequently	frequently	ADV
iajs-2765	3	10	occur	occur	VERB
iajs-2765	3	11	in	in	ADP
iajs-2765	3	12	economy	economy	NOUN
iajs-2765	3	13	,	,	PUNCT
iajs-2765	3	14	business	business	NOUN
iajs-2765	3	15	studies	study	NOUN
iajs-2765	3	16	,	,	PUNCT
iajs-2765	3	17	sociology	sociology	NOUN
iajs-2765	3	18	,	,	PUNCT
iajs-2765	3	19	political	political	ADJ
iajs-2765	3	20	science	science	NOUN
iajs-2765	3	21	,	,	PUNCT
iajs-2765	3	22	military	military	ADJ
iajs-2765	3	23	activities	activity	NOUN
iajs-2765	3	24	,	,	PUNCT
iajs-2765	3	25	and	and	CCONJ
iajs-2765	3	26	so	so	ADV
iajs-2765	3	27	on	on	ADV
iajs-2765	3	28	are	be	AUX
iajs-2765	3	29	some	some	PRON
iajs-2765	3	30	of	of	ADP
iajs-2765	3	31	the	the	DET
iajs-2765	3	32	subjects	subject	NOUN
iajs-2765	3	33	covered	cover	VERB
iajs-2765	3	34	.	.	PUNCT
iajs-2765	4	1	to	to	PART
iajs-2765	4	2	tackle	tackle	VERB
iajs-2765	4	3	the	the	DET
iajs-2765	4	4	uncertainty	uncertainty	NOUN
iajs-2765	4	5	in	in	ADP
iajs-2765	4	6	games	game	NOUN
iajs-2765	4	7	,	,	PUNCT
iajs-2765	4	8	the	the	DET
iajs-2765	4	9	analysis	analysis	NOUN
iajs-2765	4	10	of	of	ADP
iajs-2765	4	11	games	game	NOUN
iajs-2765	4	12	in	in	ADP
iajs-2765	4	13	which	which	PRON
iajs-2765	4	14	the	the	DET
iajs-2765	4	15	payoffs	payoff	NOUN
iajs-2765	4	16	are	be	AUX
iajs-2765	4	17	represented	represent	VERB
iajs-2765	4	18	by	by	ADP
iajs-2765	4	19	fuzzy	fuzzy	ADJ
iajs-2765	4	20	numbers	number	NOUN
iajs-2765	4	21	(	(	PUNCT
iajs-2765	4	22	fn	fn	NOUN
iajs-2765	4	23	)	)	PUNCT
iajs-2765	4	24	will	will	AUX
iajs-2765	4	25	benefit	benefit	VERB
iajs-2765	4	26	from	from	ADP
iajs-2765	4	27	fuzzy	fuzzy	ADJ
iajs-2765	4	28	set	set	NOUN
iajs-2765	4	29	theory	theory	NOUN
iajs-2765	4	30	(	(	PUNCT
iajs-2765	4	31	fst	fst	NOUN
iajs-2765	4	32	)	)	PUNCT
iajs-2765	4	33	.	.	PUNCT
iajs-2765	5	1	the	the	DET
iajs-2765	5	2	purpose	purpose	NOUN
iajs-2765	5	3	of	of	ADP
iajs-2765	5	4	this	this	DET
iajs-2765	5	5	paper	paper	NOUN
iajs-2765	5	6	is	be	AUX
iajs-2765	5	7	to	to	PART
iajs-2765	5	8	develop	develop	VERB
iajs-2765	5	9	an	an	DET
iajs-2765	5	10	efficient	efficient	ADJ
iajs-2765	5	11	technique	technique	NOUN
iajs-2765	5	12	for	for	ADP
iajs-2765	5	13	solving	solve	VERB
iajs-2765	5	14	constraint	constraint	NOUN
iajs-2765	5	15	matrix	matrix	NOUN
iajs-2765	5	16	games	game	NOUN
iajs-2765	5	17	(	(	PUNCT
iajs-2765	5	18	mg	mg	PROPN
iajs-2765	5	19	)	)	PUNCT
iajs-2765	5	20	with	with	ADP
iajs-2765	5	21	payoff	payoff	NOUN
iajs-2765	5	22	trapezoidal	trapezoidal	ADJ
iajs-2765	5	23	fuzzy	fuzzy	ADJ
iajs-2765	5	24	numbers	number	NOUN
iajs-2765	5	25	(	(	PUNCT
iajs-2765	5	26	tfn	tfn	NOUN
iajs-2765	5	27	)	)	PUNCT
iajs-2765	5	28	.	.	PUNCT
iajs-2765	6	1	the	the	DET
iajs-2765	6	2	description	description	NOUN
iajs-2765	6	3	of	of	ADP
iajs-2765	6	4	the	the	DET
iajs-2765	6	5	new	new	ADJ
iajs-2765	6	6	ranking	ranking	NOUN
iajs-2765	6	7	method	method	NOUN
iajs-2765	6	8	is	be	AUX
iajs-2765	6	9	introduced	introduce	VERB
iajs-2765	6	10	for	for	ADP
iajs-2765	6	11	a	a	DET
iajs-2765	6	12	constrained	constrain	VERB
iajs-2765	6	13	matrix	matrix	NOUN
iajs-2765	6	14	with	with	ADP
iajs-2765	6	15	tfn	tfn	NOUN
iajs-2765	6	16	and	and	CCONJ
iajs-2765	6	17	values	value	NOUN
iajs-2765	6	18	.	.	PUNCT
iajs-2765	7	1	stock	stock	NOUN
iajs-2765	7	2	market	market	NOUN
iajs-2765	7	3	forecasting	forecasting	NOUN
iajs-2765	7	4	has	have	AUX
iajs-2765	7	5	been	be	AUX
iajs-2765	7	6	one	one	NUM
iajs-2765	7	7	of	of	ADP
iajs-2765	7	8	the	the	DET
iajs-2765	7	9	most	most	ADV
iajs-2765	7	10	important	important	ADJ
iajs-2765	7	11	research	research	NOUN
iajs-2765	7	12	areas	area	NOUN
iajs-2765	7	13	for	for	ADP
iajs-2765	7	14	decades	decade	NOUN
iajs-2765	7	15	.	.	PUNCT
iajs-2765	8	1	stock	stock	NOUN
iajs-2765	8	2	market	market	NOUN
iajs-2765	8	3	values	value	NOUN
iajs-2765	8	4	are	be	AUX
iajs-2765	8	5	volatile	volatile	ADJ
iajs-2765	8	6	,	,	PUNCT
iajs-2765	8	7	non	non	ADJ
iajs-2765	8	8	-	-	ADJ
iajs-2765	8	9	linear	linear	ADJ
iajs-2765	8	10	,	,	PUNCT
iajs-2765	8	11	complicated	complicated	ADJ
iajs-2765	8	12	and	and	CCONJ
iajs-2765	8	13	chaotic	chaotic	ADJ
iajs-2765	8	14	.	.	PUNCT
iajs-2765	9	1	based	base	VERB
iajs-2765	9	2	on	on	ADP
iajs-2765	9	3	a	a	DET
iajs-2765	9	4	ranking	rank	VERB
iajs-2765	9	5	function	function	NOUN
iajs-2765	9	6	(	(	PUNCT
iajs-2765	9	7	rf	rf	NOUN
iajs-2765	9	8	)	)	PUNCT
iajs-2765	9	9	,	,	PUNCT
iajs-2765	9	10	we	we	PRON
iajs-2765	9	11	used	use	VERB
iajs-2765	9	12	a	a	DET
iajs-2765	9	13	new	new	ADJ
iajs-2765	9	14	algorithm	algorithm	NOUN
iajs-2765	9	15	to	to	PART
iajs-2765	9	16	solve	solve	VERB
iajs-2765	9	17	the	the	DET
iajs-2765	9	18	fuzzy	fuzzy	ADJ
iajs-2765	9	19	game	game	NOUN
iajs-2765	9	20	problem	problem	NOUN
iajs-2765	9	21	(	(	PUNCT
iajs-2765	9	22	fgp	fgp	X
iajs-2765	9	23	)	)	PUNCT
iajs-2765	9	24	employing	employ	VERB
iajs-2765	9	25	tfn	tfn	NOUN
iajs-2765	9	26	and	and	CCONJ
iajs-2765	9	27	also	also	ADV
iajs-2765	9	28	to	to	PART
iajs-2765	9	29	try	try	VERB
iajs-2765	9	30	to	to	PART
iajs-2765	9	31	get	get	VERB
iajs-2765	9	32	a	a	DET
iajs-2765	9	33	desirable	desirable	ADJ
iajs-2765	9	34	gain	gain	NOUN
iajs-2765	9	35	.	.	PUNCT
iajs-2765	10	1	centered	center	VERB
iajs-2765	10	2	on	on	ADP
iajs-2765	10	3	the	the	DET
iajs-2765	10	4	latest	late	ADJ
iajs-2765	10	5	proposed	propose	VERB
iajs-2765	10	6	ranking	rank	VERB
iajs-2765	10	7	algorithm	algorithm	NOUN
iajs-2765	10	8	,	,	PUNCT
iajs-2765	10	9	the	the	DET
iajs-2765	10	10	fuzzy	fuzzy	ADJ
iajs-2765	10	11	decision	decision	NOUN
iajs-2765	10	12	method	method	NOUN
iajs-2765	10	13	is	be	AUX
iajs-2765	10	14	designed	design	VERB
iajs-2765	10	15	to	to	PART
iajs-2765	10	16	analyze	analyze	VERB
iajs-2765	10	17	possible	possible	ADJ
iajs-2765	10	18	stock	stock	NOUN
iajs-2765	10	19	opportunists	opportunist	NOUN
iajs-2765	10	20	.	.	PUNCT
iajs-2765	11	1	the	the	DET
iajs-2765	11	2	paper	paper	NOUN
iajs-2765	11	3	considers	consider	VERB
iajs-2765	11	4	a	a	DET
iajs-2765	11	5	zero	zero	NUM
iajs-2765	11	6	-	-	PUNCT
iajs-2765	11	7	sum	sum	NOUN
iajs-2765	11	8	game	game	NOUN
iajs-2765	11	9	for	for	ADP
iajs-2765	11	10	two	two	NUM
iajs-2765	11	11	persons	person	NOUN
iajs-2765	11	12	in	in	ADP
iajs-2765	11	13	which	which	PRON
iajs-2765	11	14	tfn	tfn	NOUN
iajs-2765	11	15	are	be	AUX
iajs-2765	11	16	fuzzy	fuzzy	ADJ
iajs-2765	11	17	payoffs	payoff	NOUN
iajs-2765	11	18	.	.	PUNCT
iajs-2765	12	1	a	a	DET
iajs-2765	12	2	ranking	ranking	NOUN
iajs-2765	12	3	method	method	NOUN
iajs-2765	12	4	(	(	PUNCT
iajs-2765	12	5	rm	rm	NOUN
iajs-2765	12	6	)	)	PUNCT
iajs-2765	12	7	is	be	AUX
iajs-2765	12	8	proposed	propose	VERB
iajs-2765	12	9	to	to	PART
iajs-2765	12	10	convert	convert	VERB
iajs-2765	12	11	tfn	tfn	NOUN
iajs-2765	12	12	into	into	ADP
iajs-2765	12	13	crisp	crisp	ADJ
iajs-2765	12	14	numbers	number	NOUN
iajs-2765	12	15	(	(	PUNCT
iajs-2765	12	16	cn	cn	NOUN
iajs-2765	12	17	)	)	PUNCT
iajs-2765	12	18	and	and	CCONJ
iajs-2765	12	19	it	it	PRON
iajs-2765	12	20	is	be	AUX
iajs-2765	12	21	used	use	VERB
iajs-2765	12	22	to	to	PART
iajs-2765	12	23	solve	solve	VERB
iajs-2765	12	24	fgp	fgp	ADJ
iajs-2765	12	25	.	.	PUNCT
iajs-2765	13	1	the	the	DET
iajs-2765	13	2	fuzzy	fuzzy	ADJ
iajs-2765	13	3	game	game	NOUN
iajs-2765	13	4	(	(	PUNCT
iajs-2765	13	5	fg	fg	NOUN
iajs-2765	13	6	)	)	PUNCT
iajs-2765	13	7	issue	issue	NOUN
iajs-2765	13	8	with	with	ADP
iajs-2765	13	9	concept	concept	NOUN
iajs-2765	13	10	strategies	strategy	NOUN
iajs-2765	13	11	pure	pure	ADJ
iajs-2765	13	12	minimax	minimax	NOUN
iajs-2765	13	13	maximin	maximin	NOUN
iajs-2765	13	14	is	be	AUX
iajs-2765	13	15	presented	present	VERB
iajs-2765	13	16	.	.	PUNCT
iajs-2765	14	1	this	this	DET
iajs-2765	14	2	problem	problem	NOUN
iajs-2765	14	3	is	be	AUX
iajs-2765	14	4	converted	convert	VERB
iajs-2765	14	5	into	into	ADP
iajs-2765	14	6	the	the	DET
iajs-2765	14	7	crisp	crisp	ADJ
iajs-2765	14	8	problem	problem	NOUN
iajs-2765	14	9	by	by	ADP
iajs-2765	14	10	a	a	DET
iajs-2765	14	11	new	new	ADJ
iajs-2765	14	12	rf	rf	NOUN
iajs-2765	14	13	and	and	CCONJ
iajs-2765	14	14	then	then	ADV
iajs-2765	14	15	solved	solve	VERB
iajs-2765	14	16	using	use	VERB
iajs-2765	14	17	the	the	DET
iajs-2765	14	18	arithmetic	arithmetic	ADJ
iajs-2765	14	19	(	(	PUNCT
iajs-2765	14	20	oddment	oddment	PROPN
iajs-2765	14	21	)	)	PUNCT
iajs-2765	14	22	method	method	NOUN
iajs-2765	14	23	.	.	PUNCT
iajs-2765	15	1	with	with	ADP
iajs-2765	15	2	the	the	DET
iajs-2765	15	3	help	help	NOUN
iajs-2765	15	4	of	of	ADP
iajs-2765	15	5	numerical	numerical	ADJ
iajs-2765	15	6	examples	example	NOUN
iajs-2765	15	7	,	,	PUNCT
iajs-2765	15	8	the	the	DET
iajs-2765	15	9	suggested	suggest	VERB
iajs-2765	15	10	technique	technique	NOUN
iajs-2765	15	11	is	be	AUX
iajs-2765	15	12	explained	explain	VERB
iajs-2765	15	13	.	.	PUNCT
iajs-2765	16	1	this	this	DET
iajs-2765	16	2	paper	paper	NOUN
iajs-2765	16	3	finalizes	finalize	VERB
iajs-2765	16	4	the	the	DET
iajs-2765	16	5	conclusion	conclusion	NOUN
iajs-2765	16	6	and	and	CCONJ
iajs-2765	16	7	includes	include	VERB
iajs-2765	16	8	an	an	DET
iajs-2765	16	9	outlook	outlook	NOUN
iajs-2765	16	10	for	for	ADP
iajs-2765	16	11	future	future	ADJ
iajs-2765	16	12	study	study	NOUN
iajs-2765	16	13	in	in	ADP
iajs-2765	16	14	this	this	DET
iajs-2765	16	15	direction	direction	NOUN
iajs-2765	16	16	.	.	PUNCT
iajs-2765	17	1	keywords	keyword	NOUN
iajs-2765	17	2	:	:	PUNCT
iajs-2765	17	3	ranking	ranking	NOUN
iajs-2765	17	4	of	of	ADP
iajs-2765	17	5	trapezoidal	trapezoidal	ADJ
iajs-2765	17	6	fuzzy	fuzzy	ADJ
iajs-2765	17	7	numbers	number	NOUN
iajs-2765	17	8	(	(	PUNCT
iajs-2765	17	9	rtfn	rtfn	NOUN
iajs-2765	17	10	)	)	PUNCT
iajs-2765	17	11	,	,	PUNCT
iajs-2765	17	12	game	game	NOUN
iajs-2765	17	13	theory	theory	NOUN
iajs-2765	17	14	(	(	PUNCT
iajs-2765	17	15	gth	gth	PROPN
iajs-2765	17	16	)	)	PUNCT
iajs-2765	17	17	,	,	PUNCT
iajs-2765	17	18	saddle	saddle	NOUN
iajs-2765	17	19	point	point	NOUN
iajs-2765	17	20	(	(	PUNCT
iajs-2765	17	21	sp	sp	NOUN
iajs-2765	17	22	)	)	PUNCT
iajs-2765	17	23	,	,	PUNCT
iajs-2765	17	24	pure	pure	ADJ
iajs-2765	17	25	strategy	strategy	NOUN
iajs-2765	17	26	(	(	PUNCT
iajs-2765	17	27	ps	ps	NOUN
iajs-2765	17	28	)	)	PUNCT
iajs-2765	17	29	.	.	PUNCT
iajs-2765	18	1	ibn	ibn	PROPN
iajs-2765	18	2	al	al	PROPN
iajs-2765	18	3	haitham	haitham	PROPN
iajs-2765	18	4	journal	journal	PROPN
iajs-2765	18	5	for	for	ADP
iajs-2765	18	6	pure	pure	ADJ
iajs-2765	18	7	and	and	CCONJ
iajs-2765	18	8	applied	applied	ADJ
iajs-2765	18	9	sciences	sciences	PROPN
iajs-2765	18	10	journal	journal	PROPN
iajs-2765	18	11	homepage	homepage	NOUN
iajs-2765	18	12	:	:	PUNCT
iajs-2765	18	13	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2765	18	14	doi	doi	NOUN
iajs-2765	18	15	:	:	PUNCT
iajs-2765	18	16	10.30526/35.2.2765	10.30526/35.2.2765	PROPN
iajs-2765	18	17	article	article	NOUN
iajs-2765	18	18	history	history	NOUN
iajs-2765	18	19	:	:	PUNCT
iajs-2765	18	20	received	receive	VERB
iajs-2765	18	21	30	30	NUM
iajs-2765	18	22	,	,	PUNCT
iajs-2765	18	23	december	december	PROPN
iajs-2765	18	24	,	,	PUNCT
iajs-2765	18	25	2021	2021	NUM
iajs-2765	18	26	,	,	PUNCT
iajs-2765	18	27	accepted	accept	VERB
iajs-2765	18	28	,	,	PUNCT
iajs-2765	18	29	8,fabruary	8,fabruary	NUM
iajs-2765	18	30	,	,	PUNCT
iajs-2765	18	31	2022	2022	NUM
iajs-2765	18	32	,	,	PUNCT
iajs-2765	18	33	published	publish	VERB
iajs-2765	18	34	in	in	ADP
iajs-2765	18	35	april	april	PROPN
iajs-2765	18	36	2022	2022	NUM
iajs-2765	18	37	.	.	PUNCT
iajs-2765	19	1	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-2765	19	2	mailto:rasha.j.mitlif@uotechnology.edu.iq	mailto:rasha.j.mitlif@uotechnology.edu.iq	PROPN
iajs-2765	19	3	ibn	ibn	PROPN
iajs-2765	19	4	al	al	PROPN
iajs-2765	19	5	-	-	PUNCT
iajs-2765	19	6	haitham	haitham	PROPN
iajs-2765	19	7	jour	jour	X
iajs-2765	19	8	.	.	PROPN
iajs-2765	19	9	for	for	ADP
iajs-2765	19	10	pure	pure	ADJ
iajs-2765	19	11	&	&	CCONJ
iajs-2765	19	12	appl	appl	PROPN
iajs-2765	19	13	.	.	PUNCT
iajs-2765	20	1	sci	sci	PROPN
iajs-2765	20	2	.	.	PROPN
iajs-2765	21	1	53	53	NUM
iajs-2765	21	2	(	(	PUNCT
iajs-2765	21	3	2)2022	2)2022	NOUN
iajs-2765	21	4	60	60	NUM
iajs-2765	21	5	1	1	NUM
iajs-2765	21	6	.	.	PUNCT
iajs-2765	22	1	introduction	introduction	NOUN
iajs-2765	22	2	fuzzy	fuzzy	ADJ
iajs-2765	22	3	game	game	NOUN
iajs-2765	22	4	(	(	PUNCT
iajs-2765	22	5	fg	fg	NOUN
iajs-2765	22	6	)	)	PUNCT
iajs-2765	22	7	has	have	AUX
iajs-2765	22	8	been	be	AUX
iajs-2765	22	9	used	use	VERB
iajs-2765	22	10	in	in	ADP
iajs-2765	22	11	many	many	ADJ
iajs-2765	22	12	areas	area	NOUN
iajs-2765	22	13	,	,	PUNCT
iajs-2765	22	14	including	include	VERB
iajs-2765	22	15	operations	operation	NOUN
iajs-2765	22	16	analysis	analysis	NOUN
iajs-2765	22	17	,	,	PUNCT
iajs-2765	22	18	control	control	NOUN
iajs-2765	22	19	theory	theory	NOUN
iajs-2765	22	20	and	and	CCONJ
iajs-2765	22	21	management	management	NOUN
iajs-2765	22	22	sciences	science	NOUN
iajs-2765	22	23	,	,	PUNCT
iajs-2765	22	24	etc	etc	X
iajs-2765	22	25	.	.	X
iajs-2765	22	26	when	when	SCONJ
iajs-2765	22	27	j.newmann	j.newmann	ADJ
iajs-2765	22	28	and	and	CCONJ
iajs-2765	22	29	o.morgenstern	o.morgenstern	ADJ
iajs-2765	22	30	[	[	X
iajs-2765	22	31	1	1	NUM
iajs-2765	22	32	]	]	PUNCT
iajs-2765	22	33	published	publish	VERB
iajs-2765	22	34	the	the	DET
iajs-2765	22	35	influential	influential	ADJ
iajs-2765	22	36	essay	essay	NOUN
iajs-2765	22	37	'	'	PUNCT
iajs-2765	22	38	theory	theory	NOUN
iajs-2765	22	39	of	of	ADP
iajs-2765	22	40	games	game	NOUN
iajs-2765	22	41	and	and	CCONJ
iajs-2765	22	42	economic	economic	ADJ
iajs-2765	22	43	performance	performance	NOUN
iajs-2765	22	44	'	'	PUNCT
iajs-2765	22	45	in	in	ADP
iajs-2765	22	46	1944	1944	NUM
iajs-2765	22	47	,	,	PUNCT
iajs-2765	22	48	the	the	DET
iajs-2765	22	49	mathematical	mathematical	ADJ
iajs-2765	22	50	treatment	treatment	NOUN
iajs-2765	22	51	of	of	ADP
iajs-2765	22	52	g	g	PROPN
iajs-2765	22	53	th	th	NUM
iajs-2765	22	54	became	become	VERB
iajs-2765	22	55	available	available	ADJ
iajs-2765	22	56	.	.	PUNCT
iajs-2765	23	1	the	the	DET
iajs-2765	23	2	important	important	ADJ
iajs-2765	23	3	paper	paper	NOUN
iajs-2765	23	4	'	'	PUNCT
iajs-2765	23	5	economic	economic	ADJ
iajs-2765	23	6	results	result	NOUN
iajs-2765	23	7	and	and	CCONJ
iajs-2765	23	8	g	g	ADP
iajs-2765	23	9	th	th	INTJ
iajs-2765	23	10	'	'	PUNCT
iajs-2765	23	11	by	by	ADP
iajs-2765	23	12	j.newmann	j.newmann	NOUN
iajs-2765	23	13	and	and	CCONJ
iajs-2765	23	14	o.morgenstern	o.morgenstern	ADJ
iajs-2765	23	15	[	[	X
iajs-2765	23	16	1	1	NUM
iajs-2765	23	17	]	]	PUNCT
iajs-2765	23	18	published	publish	VERB
iajs-2765	23	19	in	in	ADP
iajs-2765	23	20	1944	1944	NUM
iajs-2765	23	21	presented	present	VERB
iajs-2765	23	22	the	the	DET
iajs-2765	23	23	first	first	ADJ
iajs-2765	23	24	statistical	statistical	ADJ
iajs-2765	23	25	treatment	treatment	NOUN
iajs-2765	23	26	of	of	ADP
iajs-2765	23	27	game	game	NOUN
iajs-2765	23	28	theory	theory	NOUN
iajs-2765	23	29	(	(	PUNCT
iajs-2765	23	30	g	g	PROPN
iajs-2765	23	31	th	th	NUM
iajs-2765	23	32	)	)	PUNCT
iajs-2765	23	33	.	.	PUNCT
iajs-2765	24	1	fg	fg	PROPN
iajs-2765	24	2	is	be	AUX
iajs-2765	24	3	a	a	DET
iajs-2765	24	4	body	body	NOUN
iajs-2765	24	5	of	of	ADP
iajs-2765	24	6	information	information	NOUN
iajs-2765	24	7	that	that	PRON
iajs-2765	24	8	discusses	discuss	VERB
iajs-2765	24	9	decision	decision	NOUN
iajs-2765	24	10	-	-	PUNCT
iajs-2765	24	11	making	making	NOUN
iajs-2765	24	12	(	(	PUNCT
iajs-2765	24	13	dm	dm	NOUN
iajs-2765	24	14	)	)	PUNCT
iajs-2765	24	15	while	while	SCONJ
iajs-2765	24	16	two	two	NUM
iajs-2765	24	17	and	and	CCONJ
iajs-2765	24	18	most	most	ADV
iajs-2765	24	19	experienced	experienced	ADJ
iajs-2765	24	20	and	and	CCONJ
iajs-2765	24	21	rational	rational	ADJ
iajs-2765	24	22	competitors	competitor	NOUN
iajs-2765	24	23	are	be	AUX
iajs-2765	24	24	in	in	ADP
iajs-2765	24	25	dispute	dispute	NOUN
iajs-2765	24	26	and	and	CCONJ
iajs-2765	24	27	competition	competition	NOUN
iajs-2765	24	28	conditions	condition	NOUN
iajs-2765	24	29	.	.	PUNCT
iajs-2765	25	1	g	g	PROPN
iajs-2765	25	2	th	th	PROPN
iajs-2765	25	3	has	have	AUX
iajs-2765	25	4	played	play	VERB
iajs-2765	25	5	a	a	DET
iajs-2765	25	6	significant	significant	ADJ
iajs-2765	25	7	role	role	NOUN
iajs-2765	25	8	in	in	ADP
iajs-2765	25	9	decision	decision	NOUN
iajs-2765	25	10	-	-	PUNCT
iajs-2765	25	11	making	make	VERB
iajs-2765	25	12	analysis	analysis	NOUN
iajs-2765	25	13	fields	field	NOUN
iajs-2765	25	14	like	like	ADP
iajs-2765	25	15	economics	economic	NOUN
iajs-2765	25	16	and	and	CCONJ
iajs-2765	25	17	management	management	NOUN
iajs-2765	25	18	.	.	PUNCT
iajs-2765	26	1	we	we	PRON
iajs-2765	26	2	need	need	VERB
iajs-2765	26	3	to	to	PART
iajs-2765	26	4	determine	determine	VERB
iajs-2765	26	5	the	the	DET
iajs-2765	26	6	right	right	ADJ
iajs-2765	26	7	values	value	NOUN
iajs-2765	26	8	of	of	ADP
iajs-2765	26	9	payoffs	payoff	NOUN
iajs-2765	26	10	when	when	SCONJ
iajs-2765	26	11	we	we	PRON
iajs-2765	26	12	can	can	AUX
iajs-2765	26	13	use	use	VERB
iajs-2765	26	14	g	g	PROPN
iajs-2765	26	15	th	th	X
iajs-2765	26	16	to	to	PART
iajs-2765	26	17	design	design	VERB
iajs-2765	26	18	any	any	DET
iajs-2765	26	19	specific	specific	ADJ
iajs-2765	26	20	problems	problem	NOUN
iajs-2765	26	21	we	we	PRON
iajs-2765	26	22	face	face	VERB
iajs-2765	26	23	in	in	ADP
iajs-2765	26	24	real	real	ADJ
iajs-2765	26	25	life	life	NOUN
iajs-2765	26	26	.	.	PUNCT
iajs-2765	27	1	knowing	know	VERB
iajs-2765	27	2	the	the	DET
iajs-2765	27	3	actual	actual	ADJ
iajs-2765	27	4	value	value	NOUN
iajs-2765	27	5	with	with	ADP
iajs-2765	27	6	payoffs	payoff	NOUN
iajs-2765	27	7	,	,	PUNCT
iajs-2765	27	8	on	on	ADP
iajs-2765	27	9	the	the	DET
iajs-2765	27	10	other	other	ADJ
iajs-2765	27	11	hand	hand	NOUN
iajs-2765	27	12	,	,	PUNCT
iajs-2765	27	13	is	be	AUX
iajs-2765	27	14	difficult	difficult	ADJ
iajs-2765	27	15	,	,	PUNCT
iajs-2765	27	16	and	and	CCONJ
iajs-2765	27	17	we	we	PRON
iajs-2765	27	18	could	could	AUX
iajs-2765	27	19	only	only	ADV
iajs-2765	27	20	know	know	VERB
iajs-2765	27	21	the	the	DET
iajs-2765	27	22	calculated	calculate	VERB
iajs-2765	27	23	solution	solution	NOUN
iajs-2765	27	24	.	.	PUNCT
iajs-2765	28	1	in	in	ADP
iajs-2765	28	2	such	such	ADJ
iajs-2765	28	3	situations	situation	NOUN
iajs-2765	28	4	,	,	PUNCT
iajs-2765	28	5	modeling	model	VERB
iajs-2765	28	6	the	the	DET
iajs-2765	28	7	issues	issue	NOUN
iajs-2765	28	8	as	as	ADP
iajs-2765	28	9	games	game	NOUN
iajs-2765	28	10	with	with	ADP
iajs-2765	28	11	uncertain	uncertain	ADJ
iajs-2765	28	12	payoffs	payoff	NOUN
iajs-2765	28	13	is	be	AUX
iajs-2765	28	14	useful	useful	ADJ
iajs-2765	28	15	.	.	PUNCT
iajs-2765	29	1	all	all	DET
iajs-2765	29	2	parameters	parameter	NOUN
iajs-2765	29	3	are	be	AUX
iajs-2765	29	4	fn	fn	NOUN
iajs-2765	29	5	in	in	ADP
iajs-2765	29	6	a	a	DET
iajs-2765	29	7	fgp	fgp	ADJ
iajs-2765	29	8	.	.	NOUN
iajs-2765	29	9	standard	standard	ADJ
iajs-2765	29	10	or	or	CCONJ
iajs-2765	29	11	irregular	irregular	ADJ
iajs-2765	29	12	triangular	triangular	NOUN
iajs-2765	29	13	,	,	PUNCT
iajs-2765	29	14	trapezoidal	trapezoidal	ADJ
iajs-2765	29	15	,	,	PUNCT
iajs-2765	29	16	or	or	CCONJ
iajs-2765	29	17	octagonal	octagonal	ADJ
iajs-2765	29	18	numbers	number	NOUN
iajs-2765	29	19	can	can	AUX
iajs-2765	29	20	be	be	AUX
iajs-2765	29	21	fuzzy	fuzzy	ADJ
iajs-2765	29	22	.	.	PUNCT
iajs-2765	30	1	the	the	DET
iajs-2765	30	2	vague	vague	ADJ
iajs-2765	30	3	fgp	fgp	NOUN
iajs-2765	30	4	is	be	AUX
iajs-2765	30	5	transformed	transform	VERB
iajs-2765	30	6	to	to	ADP
iajs-2765	30	7	a	a	DET
iajs-2765	30	8	crisp	crisp	ADJ
iajs-2765	30	9	estimation	estimation	NOUN
iajs-2765	30	10	problem	problem	NOUN
iajs-2765	30	11	using	use	VERB
iajs-2765	30	12	the	the	DET
iajs-2765	30	13	rf	rf	NOUN
iajs-2765	30	14	and	and	CCONJ
iajs-2765	30	15	then	then	ADV
iajs-2765	30	16	solved	solve	VERB
iajs-2765	30	17	using	use	VERB
iajs-2765	30	18	the	the	DET
iajs-2765	30	19	traditional	traditional	ADJ
iajs-2765	30	20	approach	approach	NOUN
iajs-2765	30	21	.	.	PUNCT
iajs-2765	31	1	some	some	DET
iajs-2765	31	2	researchers	researcher	NOUN
iajs-2765	31	3	extend	extend	VERB
iajs-2765	31	4	fgp	fgp	ADJ
iajs-2765	31	5	applications	application	NOUN
iajs-2765	31	6	to	to	ADP
iajs-2765	31	7	crisp	crisp	ADJ
iajs-2765	31	8	games	game	NOUN
iajs-2765	31	9	and	and	CCONJ
iajs-2765	31	10	suggest	suggest	VERB
iajs-2765	31	11	appropriate	appropriate	ADJ
iajs-2765	31	12	solution	solution	NOUN
iajs-2765	31	13	methods	method	NOUN
iajs-2765	31	14	and	and	CCONJ
iajs-2765	31	15	principles	principle	NOUN
iajs-2765	31	16	to	to	PART
iajs-2765	31	17	solve	solve	VERB
iajs-2765	31	18	fgp	fgp	ADJ
iajs-2765	31	19	with	with	ADP
iajs-2765	31	20	ranking	ranking	ADJ
iajs-2765	31	21	features	feature	NOUN
iajs-2765	31	22	[	[	X
iajs-2765	31	23	2	2	NUM
iajs-2765	31	24	-	-	SYM
iajs-2765	31	25	12	12	NUM
iajs-2765	31	26	]	]	PUNCT
iajs-2765	31	27	.	.	PUNCT
iajs-2765	32	1	recently	recently	ADV
iajs-2765	32	2	,	,	PUNCT
iajs-2765	32	3	the	the	DET
iajs-2765	32	4	theory	theory	NOUN
iajs-2765	32	5	of	of	ADP
iajs-2765	32	6	fuzzy	fuzzy	ADJ
iajs-2765	32	7	sets	set	NOUN
iajs-2765	32	8	(	(	PUNCT
iajs-2765	32	9	fs	f	NOUN
iajs-2765	32	10	)	)	PUNCT
iajs-2765	32	11	has	have	AUX
iajs-2765	32	12	been	be	AUX
iajs-2765	32	13	established	establish	VERB
iajs-2765	32	14	and	and	CCONJ
iajs-2765	32	15	is	be	AUX
iajs-2765	32	16	the	the	DET
iajs-2765	32	17	most	most	ADV
iajs-2765	32	18	suitable	suitable	ADJ
iajs-2765	32	19	to	to	ADP
iajs-2765	32	20	date	date	NOUN
iajs-2765	32	21	theory	theory	NOUN
iajs-2765	32	22	to	to	PART
iajs-2765	32	23	deal	deal	VERB
iajs-2765	32	24	with	with	ADP
iajs-2765	32	25	uncertainties	uncertainty	NOUN
iajs-2765	32	26	.	.	PUNCT
iajs-2765	33	1	many	many	ADJ
iajs-2765	33	2	important	important	ADJ
iajs-2765	33	3	g	g	PROPN
iajs-2765	33	4	th	th	PRON
iajs-2765	33	5	applications	application	NOUN
iajs-2765	33	6	have	have	AUX
iajs-2765	33	7	been	be	AUX
iajs-2765	33	8	extended	extend	VERB
iajs-2765	33	9	by	by	ADP
iajs-2765	33	10	embedding	embed	VERB
iajs-2765	33	11	the	the	DET
iajs-2765	33	12	fs	fs	ADJ
iajs-2765	33	13	ideas	idea	NOUN
iajs-2765	33	14	[	[	X
iajs-2765	33	15	13	13	NUM
iajs-2765	33	16	-	-	SYM
iajs-2765	33	17	18	18	NUM
iajs-2765	33	18	]	]	PUNCT
iajs-2765	33	19	.	.	PUNCT
iajs-2765	34	1	several	several	ADJ
iajs-2765	34	2	authors	author	NOUN
iajs-2765	34	3	[	[	X
iajs-2765	34	4	19	19	NUM
iajs-2765	34	5	-23	-23	SYM
iajs-2765	34	6	]	]	PUNCT
iajs-2765	34	7	investigated	investigate	VERB
iajs-2765	34	8	two	two	NUM
iajs-2765	34	9	-	-	PUNCT
iajs-2765	34	10	person	person	NOUN
iajs-2765	34	11	zero	zero	NUM
iajs-2765	34	12	sum	sum	NOUN
iajs-2765	34	13	games	game	NOUN
iajs-2765	34	14	with	with	ADP
iajs-2765	34	15	fuzzy	fuzzy	ADJ
iajs-2765	34	16	payoffs	payoff	NOUN
iajs-2765	34	17	and	and	CCONJ
iajs-2765	34	18	fuzzy	fuzzy	ADJ
iajs-2765	34	19	aims	aim	NOUN
iajs-2765	34	20	g	g	PROPN
iajs-2765	34	21	th	th	NOUN
iajs-2765	34	22	.	.	PUNCT
iajs-2765	35	1	we	we	PRON
iajs-2765	35	2	have	have	AUX
iajs-2765	35	3	taken	take	VERB
iajs-2765	35	4	two	two	NUM
iajs-2765	35	5	people	people	NOUN
iajs-2765	35	6	's	's	PART
iajs-2765	35	7	zero	zero	NUM
iajs-2765	35	8	-	-	PUNCT
iajs-2765	35	9	sum	sum	NOUN
iajs-2765	35	10	games	game	NOUN
iajs-2765	35	11	in	in	ADP
iajs-2765	35	12	this	this	DET
iajs-2765	35	13	article	article	NOUN
iajs-2765	35	14	,	,	PUNCT
iajs-2765	35	15	in	in	ADP
iajs-2765	35	16	which	which	PRON
iajs-2765	35	17	trapezoidal	trapezoidal	ADJ
iajs-2765	35	18	fuzzy	fuzzy	ADJ
iajs-2765	35	19	numbers	number	NOUN
iajs-2765	35	20	(	(	PUNCT
iajs-2765	35	21	tfn	tfn	NOUN
iajs-2765	35	22	)	)	PUNCT
iajs-2765	35	23	are	be	AUX
iajs-2765	35	24	imprecise	imprecise	ADJ
iajs-2765	35	25	values	value	NOUN
iajs-2765	35	26	.	.	PUNCT
iajs-2765	36	1	we	we	PRON
iajs-2765	36	2	have	have	AUX
iajs-2765	36	3	explained	explain	VERB
iajs-2765	36	4	it	it	PRON
iajs-2765	36	5	using	use	VERB
iajs-2765	36	6	the	the	DET
iajs-2765	36	7	ranking	rank	VERB
iajs-2765	36	8	technique	technique	NOUN
iajs-2765	36	9	to	to	PART
iajs-2765	36	10	convert	convert	VERB
iajs-2765	36	11	it	it	PRON
iajs-2765	36	12	to	to	ADP
iajs-2765	36	13	a	a	DET
iajs-2765	36	14	crisply	crisply	ADV
iajs-2765	36	15	valued	value	VERB
iajs-2765	36	16	game	game	NOUN
iajs-2765	36	17	problem	problem	NOUN
iajs-2765	36	18	.	.	PUNCT
iajs-2765	37	1	using	use	VERB
iajs-2765	37	2	tfn	tfn	NOUN
iajs-2765	37	3	,	,	PUNCT
iajs-2765	37	4	we	we	PRON
iajs-2765	37	5	have	have	AUX
iajs-2765	37	6	exposed	expose	VERB
iajs-2765	37	7	a	a	DET
iajs-2765	37	8	fuzzy	fuzzy	ADJ
iajs-2765	37	9	game	game	NOUN
iajs-2765	37	10	problem	problem	NOUN
iajs-2765	37	11	.	.	PUNCT
iajs-2765	38	1	the	the	DET
iajs-2765	38	2	paper	paper	NOUN
iajs-2765	38	3	is	be	AUX
iajs-2765	38	4	structured	structure	VERB
iajs-2765	38	5	as	as	SCONJ
iajs-2765	38	6	follows	follow	VERB
iajs-2765	38	7	.	.	PUNCT
iajs-2765	39	1	section	section	NOUN
iajs-2765	39	2	2	2	NUM
iajs-2765	39	3	presents	present	VERB
iajs-2765	39	4	the	the	DET
iajs-2765	39	5	concept	concept	NOUN
iajs-2765	39	6	of	of	ADP
iajs-2765	39	7	certain	certain	ADJ
iajs-2765	39	8	basic	basic	ADJ
iajs-2765	39	9	definitions	definition	NOUN
iajs-2765	39	10	and	and	CCONJ
iajs-2765	39	11	preliminaries	preliminary	NOUN
iajs-2765	39	12	regarding	regard	VERB
iajs-2765	39	13	the	the	DET
iajs-2765	39	14	crisp	crisp	ADJ
iajs-2765	39	15	matrix	matrix	NOUN
iajs-2765	39	16	games	game	NOUN
iajs-2765	39	17	(	(	PUNCT
iajs-2765	39	18	cmg	cmg	NOUN
iajs-2765	39	19	)	)	PUNCT
iajs-2765	39	20	.	.	PUNCT
iajs-2765	40	1	in	in	ADP
iajs-2765	40	2	section	section	NOUN
iajs-2765	40	3	3	3	NUM
iajs-2765	40	4	,	,	PUNCT
iajs-2765	40	5	we	we	PRON
iajs-2765	40	6	present	present	VERB
iajs-2765	40	7	the	the	DET
iajs-2765	40	8	mathematical	mathematical	ADJ
iajs-2765	40	9	formulation	formulation	NOUN
iajs-2765	40	10	of	of	ADP
iajs-2765	40	11	the	the	DET
iajs-2765	40	12	fgp	fgp	PROPN
iajs-2765	40	13	.	.	PROPN
iajs-2765	40	14	section	section	NOUN
iajs-2765	40	15	4	4	NUM
iajs-2765	40	16	introduces	introduce	NOUN
iajs-2765	40	17	the	the	DET
iajs-2765	40	18	proposed	propose	VERB
iajs-2765	40	19	ranking	ranking	NOUN
iajs-2765	40	20	technique	technique	NOUN
iajs-2765	40	21	.	.	PUNCT
iajs-2765	41	1	section	section	NOUN
iajs-2765	41	2	5	5	NUM
iajs-2765	41	3	presents	present	VERB
iajs-2765	41	4	the	the	DET
iajs-2765	41	5	procedure	procedure	NOUN
iajs-2765	41	6	for	for	ADP
iajs-2765	41	7	solving	solve	VERB
iajs-2765	41	8	fgp	fgp	NOUN
iajs-2765	41	9	using	use	VERB
iajs-2765	41	10	the	the	DET
iajs-2765	41	11	matrix	matrix	NOUN
iajs-2765	41	12	oddment	oddment	NOUN
iajs-2765	41	13	method	method	NOUN
iajs-2765	41	14	.	.	PUNCT
iajs-2765	42	1	in	in	ADP
iajs-2765	42	2	section	section	NOUN
iajs-2765	42	3	6	6	NUM
iajs-2765	42	4	,	,	PUNCT
iajs-2765	42	5	a	a	DET
iajs-2765	42	6	numerical	numerical	ADJ
iajs-2765	42	7	illustration	illustration	NOUN
iajs-2765	42	8	is	be	AUX
iajs-2765	42	9	given	give	VERB
iajs-2765	42	10	to	to	PART
iajs-2765	42	11	demonstrate	demonstrate	VERB
iajs-2765	42	12	the	the	DET
iajs-2765	42	13	proposed	propose	VERB
iajs-2765	42	14	method	method	NOUN
iajs-2765	42	15	's	's	PART
iajs-2765	42	16	efficacy	efficacy	NOUN
iajs-2765	42	17	.	.	PUNCT
iajs-2765	43	1	finally	finally	ADV
iajs-2765	43	2	,	,	PUNCT
iajs-2765	43	3	section	section	NOUN
iajs-2765	43	4	7	7	NUM
iajs-2765	43	5	presents	present	VERB
iajs-2765	43	6	the	the	DET
iajs-2765	43	7	conclusions	conclusion	NOUN
iajs-2765	43	8	of	of	ADP
iajs-2765	43	9	this	this	DET
iajs-2765	43	10	work	work	NOUN
iajs-2765	43	11	.	.	PUNCT
iajs-2765	44	1	2	2	X
iajs-2765	44	2	.	.	X
iajs-2765	44	3	basic	basic	ADJ
iajs-2765	44	4	concepts	concept	NOUN
iajs-2765	44	5	:	:	PUNCT
iajs-2765	44	6	definition	definition	NOUN
iajs-2765	44	7	(	(	PUNCT
iajs-2765	44	8	2.1	2.1	NUM
iajs-2765	44	9	):	):	PUNCT
iajs-2765	44	10	fuzzy	fuzzy	ADJ
iajs-2765	44	11	set	set	NOUN
iajs-2765	44	12	(	(	PUNCT
iajs-2765	44	13	fs	fs	PROPN
iajs-2765	44	14	)	)	PUNCT
iajs-2765	45	1	[	[	X
iajs-2765	45	2	24	24	NUM
iajs-2765	45	3	]	]	X
iajs-2765	45	4	if	if	SCONJ
iajs-2765	45	5	the	the	DET
iajs-2765	45	6	membership	membership	NOUN
iajs-2765	45	7	function	function	VERB
iajs-2765	45	8	ŋǫ	ŋǫ	VERB
iajs-2765	45	9	∶	∶	NOUN
iajs-2765	45	10	ʈ	ʈ	X
iajs-2765	45	11	→	→	SYM
iajs-2765	45	12	[	[	X
iajs-2765	45	13	0,1	0,1	NUM
iajs-2765	45	14	]	]	PUNCT
iajs-2765	45	15	of	of	ADP
iajs-2765	45	16	a	a	DET
iajs-2765	45	17	fs	fs	X
iajs-2765	45	18	đ̃	đ̃	PROPN
iajs-2765	45	19	defined	define	VERB
iajs-2765	45	20	on	on	ADP
iajs-2765	45	21	the	the	DET
iajs-2765	45	22	set	set	NOUN
iajs-2765	45	23	of	of	ADP
iajs-2765	45	24	points	point	NOUN
iajs-2765	45	25	ʈ	ʈ	AUX
iajs-2765	45	26	has	have	VERB
iajs-2765	45	27	the	the	DET
iajs-2765	45	28	following	follow	VERB
iajs-2765	45	29	properties	property	NOUN
iajs-2765	45	30	,	,	PUNCT
iajs-2765	45	31	it	it	PRON
iajs-2765	45	32	is	be	AUX
iajs-2765	45	33	said	say	VERB
iajs-2765	45	34	to	to	PART
iajs-2765	45	35	be	be	AUX
iajs-2765	45	36	a	a	DET
iajs-2765	45	37	fn	fn	NOUN
iajs-2765	45	38	.	.	PUNCT
iajs-2765	46	1	ibn	ibn	PROPN
iajs-2765	46	2	al	al	PROPN
iajs-2765	46	3	-	-	PUNCT
iajs-2765	46	4	haitham	haitham	PROPN
iajs-2765	46	5	jour	jour	X
iajs-2765	46	6	.	.	PROPN
iajs-2765	46	7	for	for	ADP
iajs-2765	46	8	pure	pure	ADJ
iajs-2765	46	9	&	&	CCONJ
iajs-2765	46	10	appl	appl	PROPN
iajs-2765	46	11	.	.	PUNCT
iajs-2765	47	1	sci	sci	PROPN
iajs-2765	47	2	.	.	PROPN
iajs-2765	48	1	53	53	NUM
iajs-2765	48	2	(	(	PUNCT
iajs-2765	48	3	2)2022	2)2022	NOUN
iajs-2765	48	4	61	61	NUM
iajs-2765	48	5	(	(	PUNCT
iajs-2765	48	6	i	i	NOUN
iajs-2765	48	7	)	)	PUNCT
iajs-2765	48	8	đ̃	đ̃	PROPN
iajs-2765	48	9	is	be	AUX
iajs-2765	48	10	an	an	DET
iajs-2765	48	11	upper	upper	ADJ
iajs-2765	48	12	semicontinuous	semicontinuous	ADJ
iajs-2765	48	13	membership	membership	NOUN
iajs-2765	48	14	function	function	NOUN
iajs-2765	48	15	;	;	PUNCT
iajs-2765	48	16	(	(	PUNCT
iajs-2765	48	17	ii	ii	NOUN
iajs-2765	48	18	)	)	PUNCT
iajs-2765	48	19	đ̃	đ̃	PROPN
iajs-2765	48	20	is	be	AUX
iajs-2765	48	21	convex	convex	NOUN
iajs-2765	48	22	,	,	PUNCT
iajs-2765	48	23	i.	i.	PROPN
iajs-2765	48	24	e.	e.	PROPN
iajs-2765	48	25	,ŋǫę(𝒽	,ŋǫę(𝒽	PUNCT
iajs-2765	48	26	𝜗	𝜗	X
iajs-2765	48	27	+	+	CCONJ
iajs-2765	48	28	(	(	PUNCT
iajs-2765	48	29	1	1	NUM
iajs-2765	48	30	−	−	NOUN
iajs-2765	48	31	𝒽))𝑛𝑖𝑚	𝒽))𝑛𝑖𝑚	PROPN
iajs-2765	48	32	{	{	PUNCT
iajs-2765	48	33	ŋǫ(𝜗	ŋǫ(𝜗	PROPN
iajs-2765	48	34	)	)	PUNCT
iajs-2765	48	35	,	,	PUNCT
iajs-2765	48	36	ŋǫ(𝓋	ŋǫ(𝓋	VERB
iajs-2765	48	37	)	)	PUNCT
iajs-2765	48	38	}	}	PUNCT
iajs-2765	48	39	,	,	PUNCT
iajs-2765	48	40	𝒽	𝒽	DET
iajs-2765	48	41	∈	∈	X
iajs-2765	49	1	[	[	X
iajs-2765	49	2	0,1	0,1	NUM
iajs-2765	49	3	]	]	PUNCT
iajs-2765	49	4	,	,	PUNCT
iajs-2765	49	5	for	for	ADP
iajs-2765	49	6	all	all	DET
iajs-2765	49	7	𝜗,𝓋	𝜗,𝓋	NOUN
iajs-2765	49	8	∈	∈	PROPN
iajs-2765	49	9	ʈ	ʈ	X
iajs-2765	49	10	.	.	PUNCT
iajs-2765	49	11	(	(	PUNCT
iajs-2765	49	12	iii	iii	X
iajs-2765	49	13	)	)	PUNCT
iajs-2765	49	14	đ̃	đ̃	PROPN
iajs-2765	49	15	is	be	AUX
iajs-2765	49	16	normal	normal	ADJ
iajs-2765	49	17	,	,	PUNCT
iajs-2765	49	18	i.	i.	PROPN
iajs-2765	49	19	e.	e.	PROPN
iajs-2765	49	20	,	,	PUNCT
iajs-2765	49	21	∃	∃	PROPN
iajs-2765	49	22	𝜗0	𝜗0	PROPN
iajs-2765	49	23	∈	∈	PROPN
iajs-2765	49	24	ʈ	ʈ	ADP
iajs-2765	49	25	for	for	ADP
iajs-2765	49	26	which	which	PRON
iajs-2765	49	27	ŋǫ(𝜗0	ŋǫ(𝜗0	NOUN
iajs-2765	49	28	)	)	PUNCT
iajs-2765	49	29	=	=	SYM
iajs-2765	50	1	1	1	X
iajs-2765	50	2	.	.	PUNCT
iajs-2765	50	3	(	(	PUNCT
iajs-2765	50	4	iv	iv	X
iajs-2765	50	5	)	)	PUNCT
iajs-2765	50	6	𝑆𝑢𝑝𝑝	𝑆𝑢𝑝𝑝	PROPN
iajs-2765	50	7	(	(	PUNCT
iajs-2765	50	8	đ̃	đ̃	PROPN
iajs-2765	50	9	)	)	PUNCT
iajs-2765	50	10	=	=	PRON
iajs-2765	50	11	{	{	PUNCT
iajs-2765	50	12	𝜗	𝜗	X
iajs-2765	50	13	∈	∈	NOUN
iajs-2765	50	14	ʈ	ʈ	ADP
iajs-2765	50	15	∶	∶	NOUN
iajs-2765	50	16	ŋǫ(𝜗	ŋǫ(𝜗	PUNCT
iajs-2765	50	17	)	)	PUNCT
iajs-2765	50	18	>	>	X
iajs-2765	50	19	0	0	X
iajs-2765	50	20	}	}	PUNCT
iajs-2765	50	21	is	be	AUX
iajs-2765	50	22	the	the	DET
iajs-2765	50	23	support	support	NOUN
iajs-2765	50	24	of	of	ADP
iajs-2765	50	25	the	the	DET
iajs-2765	50	26	đ̃	đ̃	PROPN
iajs-2765	50	27	,	,	PUNCT
iajs-2765	50	28	and	and	CCONJ
iajs-2765	50	29	its	its	PRON
iajs-2765	50	30	closure	closure	NOUN
iajs-2765	50	31	𝑐𝑙	𝑐𝑙	PRON
iajs-2765	50	32	(	(	PUNCT
iajs-2765	50	33	𝑆𝑢𝑝𝑝	𝑆𝑢𝑝𝑝	INTJ
iajs-2765	50	34	(	(	PUNCT
iajs-2765	50	35	đ̃	đ̃	PROPN
iajs-2765	50	36	)	)	PUNCT
iajs-2765	50	37	)	)	PUNCT
iajs-2765	50	38	is	be	AUX
iajs-2765	50	39	a	a	DET
iajs-2765	50	40	compact	compact	ADJ
iajs-2765	50	41	set	set	NOUN
iajs-2765	50	42	.	.	PUNCT
iajs-2765	51	1	definition	definition	NOUN
iajs-2765	51	2	(	(	PUNCT
iajs-2765	51	3	2.2	2.2	NUM
iajs-2765	51	4	):	):	PUNCT
iajs-2765	51	5	pure	pure	ADJ
iajs-2765	51	6	strategy	strategy	NOUN
iajs-2765	51	7	(	(	PUNCT
iajs-2765	51	8	ps	ps	NOUN
iajs-2765	51	9	)	)	PUNCT
iajs-2765	52	1	[	[	X
iajs-2765	52	2	25	25	NUM
iajs-2765	52	3	]	]	X
iajs-2765	52	4	if	if	SCONJ
iajs-2765	52	5	a	a	DET
iajs-2765	52	6	player	player	NOUN
iajs-2765	52	7	knows	know	VERB
iajs-2765	52	8	precisely	precisely	ADV
iajs-2765	52	9	what	what	PRON
iajs-2765	52	10	the	the	DET
iajs-2765	52	11	other	other	ADJ
iajs-2765	52	12	player	player	NOUN
iajs-2765	52	13	is	be	AUX
iajs-2765	52	14	going	go	VERB
iajs-2765	52	15	to	to	PART
iajs-2765	52	16	do	do	VERB
iajs-2765	52	17	is	be	AUX
iajs-2765	52	18	called	call	VERB
iajs-2765	52	19	pure	pure	ADJ
iajs-2765	52	20	strategy	strategy	NOUN
iajs-2765	52	21	.	.	PUNCT
iajs-2765	53	1	definition	definition	NOUN
iajs-2765	53	2	(	(	PUNCT
iajs-2765	53	3	2.3	2.3	NUM
iajs-2765	53	4	):	):	PUNCT
iajs-2765	53	5	saddle	saddle	NOUN
iajs-2765	53	6	point	point	NOUN
iajs-2765	53	7	(	(	PUNCT
iajs-2765	53	8	sp	sp	NOUN
iajs-2765	53	9	)	)	PUNCT
iajs-2765	53	10	[	[	X
iajs-2765	53	11	26	26	NUM
iajs-2765	53	12	]	]	PUNCT
iajs-2765	53	13	a	a	DET
iajs-2765	53	14	saddle	saddle	NOUN
iajs-2765	53	15	point	point	NOUN
iajs-2765	53	16	has	have	AUX
iajs-2765	53	17	been	be	AUX
iajs-2765	53	18	said	say	VERB
iajs-2765	53	19	to	to	PART
iajs-2765	53	20	occur	occur	VERB
iajs-2765	53	21	when	when	SCONJ
iajs-2765	53	22	the	the	DET
iajs-2765	53	23	maximum	maximum	ADJ
iajs-2765	53	24	value	value	NOUN
iajs-2765	53	25	equals	equal	VERB
iajs-2765	53	26	the	the	DET
iajs-2765	53	27	minimum	minimum	NOUN
iajs-2765	53	28	value	value	NOUN
iajs-2765	53	29	,	,	PUNCT
iajs-2765	53	30	and	and	CCONJ
iajs-2765	53	31	optimal	optimal	ADJ
iajs-2765	53	32	strategies	strategy	NOUN
iajs-2765	53	33	are	be	AUX
iajs-2765	53	34	known	know	VERB
iajs-2765	53	35	as	as	ADP
iajs-2765	53	36	the	the	DET
iajs-2765	53	37	complementary	complementary	ADJ
iajs-2765	53	38	strategies	strategy	NOUN
iajs-2765	53	39	that	that	PRON
iajs-2765	53	40	give	give	VERB
iajs-2765	53	41	the	the	DET
iajs-2765	53	42	saddle	saddle	NOUN
iajs-2765	53	43	point	point	NOUN
iajs-2765	53	44	.	.	PUNCT
iajs-2765	54	1	the	the	DET
iajs-2765	54	2	crisp	crisp	ADJ
iajs-2765	54	3	game	game	NOUN
iajs-2765	54	4	value	value	NOUN
iajs-2765	54	5	(	(	PUNCT
iajs-2765	54	6	cgv	cgv	NOUN
iajs-2765	54	7	)	)	PUNCT
iajs-2765	54	8	of	of	ADP
iajs-2765	54	9	the	the	DET
iajs-2765	54	10	game	game	NOUN
iajs-2765	54	11	matrix	matrix	NOUN
iajs-2765	54	12	(	(	PUNCT
iajs-2765	54	13	gm	gm	PROPN
iajs-2765	54	14	)	)	PUNCT
iajs-2765	54	15	is	be	AUX
iajs-2765	54	16	the	the	DET
iajs-2765	54	17	number	number	NOUN
iajs-2765	54	18	of	of	ADP
iajs-2765	54	19	payoffs	payoff	NOUN
iajs-2765	54	20	at	at	ADP
iajs-2765	54	21	an	an	DET
iajs-2765	54	22	equilibrium	equilibrium	NOUN
iajs-2765	54	23	point	point	NOUN
iajs-2765	54	24	.	.	PUNCT
iajs-2765	55	1	definition	definition	NOUN
iajs-2765	55	2	(	(	PUNCT
iajs-2765	55	3	2.4	2.4	NUM
iajs-2765	55	4	):	):	PUNCT
iajs-2765	55	5	trapezoidal	trapezoidal	ADJ
iajs-2765	55	6	fuzzy	fuzzy	ADJ
iajs-2765	55	7	numbers	number	NOUN
iajs-2765	55	8	(	(	PUNCT
iajs-2765	55	9	tfn	tfn	NOUN
iajs-2765	55	10	)	)	PUNCT
iajs-2765	56	1	[	[	X
iajs-2765	56	2	27	27	NUM
iajs-2765	56	3	]	]	X
iajs-2765	56	4	:	:	PUNCT
iajs-2765	56	5	a	a	DET
iajs-2765	56	6	fuzzy	fuzzy	ADJ
iajs-2765	56	7	number	number	NOUN
iajs-2765	56	8	đ̃	đ̃	PROPN
iajs-2765	56	9	=	=	SYM
iajs-2765	56	10	(	(	PUNCT
iajs-2765	56	11	𝓉𝓅	𝓉𝓅	INTJ
iajs-2765	56	12	,	,	PUNCT
iajs-2765	56	13	𝓉ç	𝓉ç	PRON
iajs-2765	56	14	,	,	PUNCT
iajs-2765	56	15	ę	ę	PROPN
iajs-2765	56	16	,	,	PUNCT
iajs-2765	56	17	ᶁ	ᶁ	X
iajs-2765	56	18	)	)	PUNCT
iajs-2765	56	19	is	be	AUX
iajs-2765	56	20	said	say	VERB
iajs-2765	56	21	to	to	PART
iajs-2765	56	22	be	be	AUX
iajs-2765	56	23	a	a	DET
iajs-2765	56	24	tfn	tfn	NOUN
iajs-2765	56	25	if	if	SCONJ
iajs-2765	56	26	its	its	PRON
iajs-2765	56	27	membership	membership	NOUN
iajs-2765	56	28	function	function	NOUN
iajs-2765	56	29	is	be	AUX
iajs-2765	56	30	defined	define	VERB
iajs-2765	56	31	as	as	SCONJ
iajs-2765	56	32	follows	follow	VERB
iajs-2765	56	33	:	:	PUNCT
iajs-2765	56	34	ŋǫę	ŋǫę	NUM
iajs-2765	56	35	=	=	NOUN
iajs-2765	56	36	{	{	PUNCT
iajs-2765	56	37	𝜗−(𝓉𝓅−ę	𝜗−(𝓉𝓅−ę	NOUN
iajs-2765	56	38	)	)	PUNCT
iajs-2765	57	1	ę	ę	PROPN
iajs-2765	57	2	,	,	PUNCT
iajs-2765	57	3	𝓉𝓅	𝓉𝓅	NOUN
iajs-2765	57	4	−	−	PROPN
iajs-2765	58	1	ę	ę	INTJ
iajs-2765	58	2	≤	≤	NUM
iajs-2765	58	3	𝜗	𝜗	X
iajs-2765	58	4	≤	≤	NUM
iajs-2765	58	5	𝓉𝓅	𝓉𝓅	ADP
iajs-2765	58	6	1	1	NUM
iajs-2765	58	7	,	,	PUNCT
iajs-2765	58	8	𝓉𝓅	𝓉𝓅	PROPN
iajs-2765	58	9	≤	≤	NUM
iajs-2765	58	10	𝜗	𝜗	X
iajs-2765	58	11	≤	≤	NUM
iajs-2765	58	12	𝓉ç	𝓉ç	ADV
iajs-2765	58	13	(	(	PUNCT
iajs-2765	58	14	𝓉ç+𝛽)−𝜗	𝓉ç+𝛽)−𝜗	ADP
iajs-2765	58	15	ᶁ	ᶁ	ADP
iajs-2765	58	16	,	,	PUNCT
iajs-2765	58	17	𝓉ç	𝓉ç	ADV
iajs-2765	58	18	≤	≤	NUM
iajs-2765	58	19	𝜗	𝜗	X
iajs-2765	58	20	≤	≤	NOUN
iajs-2765	58	21	𝓉ç	𝓉ç	ADV
iajs-2765	58	22	+	+	CCONJ
iajs-2765	58	23	ᶁ	ᶁ	ADP
iajs-2765	58	24	0	0	NUM
iajs-2765	58	25	,	,	PUNCT
iajs-2765	58	26	𝑜𝑡ℎ𝑒𝑟	𝑜𝑡ℎ𝑒𝑟	PROPN
iajs-2765	58	27	𝑤𝑖𝑠𝑒	𝑤𝑖𝑠𝑒	PROPN
iajs-2765	58	28	definition	definition	NOUN
iajs-2765	58	29	(	(	PUNCT
iajs-2765	58	30	2.5	2.5	NUM
iajs-2765	58	31	):	):	PUNCT
iajs-2765	58	32	ranking	rank	VERB
iajs-2765	58	33	function	function	NOUN
iajs-2765	58	34	(	(	PUNCT
iajs-2765	58	35	rf	rf	NOUN
iajs-2765	58	36	)	)	PUNCT
iajs-2765	59	1	[	[	X
iajs-2765	59	2	28	28	NUM
iajs-2765	59	3	]	]	X
iajs-2765	59	4	:	:	PUNCT
iajs-2765	59	5	the	the	DET
iajs-2765	59	6	function	function	NOUN
iajs-2765	59	7	:	:	PUNCT
iajs-2765	60	1	ʈ	ʈ	X
iajs-2765	60	2	:	:	PUNCT
iajs-2765	60	3	ƒ(ʈ	ƒ(ʈ	NUM
iajs-2765	60	4	)	)	PUNCT
iajs-2765	60	5	→	→	PUNCT
iajs-2765	60	6	ʈ	ʈ	ADP
iajs-2765	60	7	that	that	PRON
iajs-2765	60	8	maps	map	VERB
iajs-2765	60	9	each	each	DET
iajs-2765	60	10	fn	fn	NOUN
iajs-2765	60	11	into	into	ADP
iajs-2765	60	12	the	the	DET
iajs-2765	60	13	real	real	ADJ
iajs-2765	60	14	line	line	NOUN
iajs-2765	60	15	is	be	AUX
iajs-2765	60	16	a	a	DET
iajs-2765	60	17	rf	rf	NOUN
iajs-2765	60	18	where	where	SCONJ
iajs-2765	60	19	a	a	DET
iajs-2765	60	20	natural	natural	ADJ
iajs-2765	60	21	order	order	NOUN
iajs-2765	60	22	exists	exist	VERB
iajs-2765	60	23	.	.	PUNCT
iajs-2765	61	1	if	if	SCONJ
iajs-2765	61	2	�	�	PROPN
iajs-2765	61	3	̌	̌	NUM
iajs-2765	61	4	�	�	PROPN
iajs-2765	61	5	,	,	PUNCT
iajs-2765	61	6	ᶌ̌	ᶌ̌	PROPN
iajs-2765	61	7	∈	∈	PROPN
iajs-2765	61	8	ƒ(ʈ	ƒ(ʈ	PROPN
iajs-2765	61	9	)	)	PUNCT
iajs-2765	61	10	,	,	PUNCT
iajs-2765	61	11	then	then	ADV
iajs-2765	61	12	a	a	X
iajs-2765	61	13	)	)	PUNCT
iajs-2765	61	14	�	�	PROPN
iajs-2765	61	15	̌	̌	NUM
iajs-2765	61	16	�	�	PROPN
iajs-2765	61	17	≥	≥	NUM
iajs-2765	61	18	ᶌ̌	ᶌ̌	NOUN
iajs-2765	61	19	if	if	SCONJ
iajs-2765	61	20	and	and	CCONJ
iajs-2765	61	21	only	only	ADV
iajs-2765	61	22	if	if	SCONJ
iajs-2765	61	23	ʈ(	ʈ(	PROPN
iajs-2765	61	24	�	�	PROPN
iajs-2765	61	25	̌	̌	NUM
iajs-2765	61	26	�	�	PROPN
iajs-2765	61	27	)	)	PUNCT
iajs-2765	61	28	≥	≥	NOUN
iajs-2765	61	29	ʈ	ʈ	X
iajs-2765	61	30	(	(	PUNCT
iajs-2765	61	31	ᶌ̌	ᶌ̌	PROPN
iajs-2765	61	32	)	)	PUNCT
iajs-2765	61	33	;	;	PUNCT
iajs-2765	61	34	b	b	X
iajs-2765	61	35	)	)	PUNCT
iajs-2765	61	36	�	�	PROPN
iajs-2765	61	37	̌	̌	NUM
iajs-2765	61	38	�	�	PROPN
iajs-2765	61	39	>	>	PUNCT
iajs-2765	61	40	ᶌ̌	ᶌ̌	PROPN
iajs-2765	62	1	if	if	SCONJ
iajs-2765	62	2	and	and	CCONJ
iajs-2765	62	3	only	only	ADV
iajs-2765	62	4	if	if	SCONJ
iajs-2765	62	5	ʈ(	ʈ(	PROPN
iajs-2765	62	6	�	�	PROPN
iajs-2765	62	7	̌	̌	NUM
iajs-2765	62	8	�	�	PROPN
iajs-2765	62	9	)	)	PUNCT
iajs-2765	62	10	>	>	X
iajs-2765	63	1	ʈ	ʈ	X
iajs-2765	63	2	(	(	PUNCT
iajs-2765	63	3	ᶌ̌	ᶌ̌	NOUN
iajs-2765	63	4	)	)	PUNCT
iajs-2765	63	5	;	;	PUNCT
iajs-2765	63	6	c	c	X
iajs-2765	63	7	)	)	PUNCT
iajs-2765	63	8	�	�	PROPN
iajs-2765	63	9	̌	̌	NUM
iajs-2765	63	10	�	�	NOUN
iajs-2765	63	11	=	=	SYM
iajs-2765	64	1	ᶌ̌	ᶌ̌	PROPN
iajs-2765	65	1	if	if	SCONJ
iajs-2765	65	2	and	and	CCONJ
iajs-2765	65	3	only	only	ADV
iajs-2765	65	4	if	if	SCONJ
iajs-2765	65	5	ʈ(	ʈ(	PROPN
iajs-2765	65	6	�	�	PROPN
iajs-2765	65	7	̌	̌	NUM
iajs-2765	65	8	�	�	PROPN
iajs-2765	65	9	)	)	PUNCT
iajs-2765	65	10	=	=	PUNCT
iajs-2765	65	11	ʈ	ʈ	X
iajs-2765	65	12	(	(	PUNCT
iajs-2765	65	13	ᶌ̌	ᶌ̌	NOUN
iajs-2765	65	14	)	)	PUNCT
iajs-2765	65	15	;	;	PUNCT
iajs-2765	65	16	d	d	X
iajs-2765	65	17	)	)	PUNCT
iajs-2765	65	18	�	�	PROPN
iajs-2765	65	19	̌	̌	NUM
iajs-2765	65	20	�	�	PROPN
iajs-2765	65	21	≤	≤	NOUN
iajs-2765	65	22	ᶌ̌	ᶌ̌	PUNCT
iajs-2765	65	23	if	if	SCONJ
iajs-2765	65	24	and	and	CCONJ
iajs-2765	65	25	only	only	ADV
iajs-2765	65	26	if	if	SCONJ
iajs-2765	65	27	ʈ(	ʈ(	PROPN
iajs-2765	65	28	�	�	PROPN
iajs-2765	65	29	̌	̌	NUM
iajs-2765	65	30	�	�	PROPN
iajs-2765	65	31	)	)	PUNCT
iajs-2765	65	32	≤	≤	NOUN
iajs-2765	65	33	ʈ	ʈ	ADP
iajs-2765	65	34	(	(	PUNCT
iajs-2765	65	35	ᶌ̌	ᶌ̌	NOUN
iajs-2765	65	36	)	)	PUNCT
iajs-2765	65	37	.	.	PUNCT
iajs-2765	66	1	3	3	X
iajs-2765	66	2	.	.	X
iajs-2765	66	3	mathematical	mathematical	ADJ
iajs-2765	66	4	formulation	formulation	NOUN
iajs-2765	66	5	of	of	ADP
iajs-2765	66	6	fgp	fgp	NOUN
iajs-2765	66	7	:	:	PUNCT
iajs-2765	66	8	consider	consider	VERB
iajs-2765	66	9	a	a	DET
iajs-2765	66	10	two	two	NUM
iajs-2765	66	11	-	-	PUNCT
iajs-2765	66	12	player	player	NOUN
iajs-2765	66	13	zero	zero	NUM
iajs-2765	66	14	-	-	PUNCT
iajs-2765	66	15	sum	sum	NOUN
iajs-2765	66	16	fg	fg	NOUN
iajs-2765	66	17	in	in	ADP
iajs-2765	66	18	which	which	PRON
iajs-2765	66	19	the	the	DET
iajs-2765	66	20	payoffs	payoff	NOUN
iajs-2765	66	21	matrix	matrix	NOUN
iajs-2765	66	22	contains	contain	VERB
iajs-2765	66	23	only	only	ADV
iajs-2765	66	24	tfn	tfn	NOUN
iajs-2765	66	25	.	.	PUNCT
iajs-2765	67	1	let	let	VERB
iajs-2765	67	2	us	we	PRON
iajs-2765	67	3	suggest	suggest	VERB
iajs-2765	67	4	each	each	DET
iajs-2765	67	5	player	player	NOUN
iajs-2765	67	6	has	have	VERB
iajs-2765	67	7	ɱ	ɱ	ADJ
iajs-2765	67	8	strategies	strategy	NOUN
iajs-2765	67	9	and	and	CCONJ
iajs-2765	67	10	ɲ	ɲ	NOUN
iajs-2765	67	11	strategies	strategy	NOUN
iajs-2765	67	12	.	.	PUNCT
iajs-2765	68	1	it	it	PRON
iajs-2765	68	2	is	be	AUX
iajs-2765	68	3	presumed	presume	VERB
iajs-2765	68	4	that	that	SCONJ
iajs-2765	68	5	each	each	DET
iajs-2765	68	6	player	player	NOUN
iajs-2765	68	7	must	must	AUX
iajs-2765	68	8	choose	choose	VERB
iajs-2765	68	9	a	a	DET
iajs-2765	68	10	pure	pure	ADJ
iajs-2765	68	11	strategy	strategy	NOUN
iajs-2765	68	12	from	from	ADP
iajs-2765	68	13	the	the	DET
iajs-2765	68	14	available	available	ADJ
iajs-2765	68	15	options	option	NOUN
iajs-2765	68	16	.	.	PUNCT
iajs-2765	69	1	the	the	DET
iajs-2765	69	2	gainer	gainer	NOUN
iajs-2765	69	3	is	be	AUX
iajs-2765	69	4	always	always	ADV
iajs-2765	69	5	assumed	assume	VERB
iajs-2765	69	6	to	to	PART
iajs-2765	69	7	be	be	AUX
iajs-2765	69	8	the	the	DET
iajs-2765	69	9	player	player	NOUN
iajs-2765	69	10	𝛿	𝛿	NOUN
iajs-2765	69	11	,	,	PUNCT
iajs-2765	69	12	and	and	CCONJ
iajs-2765	69	13	the	the	DET
iajs-2765	69	14	loser	loser	NOUN
iajs-2765	69	15	is	be	AUX
iajs-2765	69	16	always	always	ADV
iajs-2765	69	17	assumed	assume	VERB
iajs-2765	69	18	to	to	PART
iajs-2765	69	19	be	be	AUX
iajs-2765	69	20	player	player	NOUN
iajs-2765	69	21	ƴ	ƴ	PROPN
iajs-2765	69	22	.	.	PUNCT
iajs-2765	70	1	ɱ	ɱ	ADP
iajs-2765	70	2	×	×	PROPN
iajs-2765	70	3	ɲ	ɲ	NOUN
iajs-2765	70	4	is	be	AUX
iajs-2765	70	5	the	the	DET
iajs-2765	70	6	payoff	payoff	NOUN
iajs-2765	70	7	matrix	matrix	NOUN
iajs-2765	70	8	.	.	PUNCT
iajs-2765	71	1	ibn	ibn	PROPN
iajs-2765	71	2	al	al	PROPN
iajs-2765	71	3	-	-	PUNCT
iajs-2765	71	4	haitham	haitham	PROPN
iajs-2765	71	5	jour	jour	X
iajs-2765	71	6	.	.	PROPN
iajs-2765	71	7	for	for	ADP
iajs-2765	71	8	pure	pure	ADJ
iajs-2765	71	9	&	&	CCONJ
iajs-2765	71	10	appl	appl	PROPN
iajs-2765	71	11	.	.	PUNCT
iajs-2765	72	1	sci	sci	PROPN
iajs-2765	72	2	.	.	PROPN
iajs-2765	73	1	53	53	NUM
iajs-2765	73	2	(	(	PUNCT
iajs-2765	73	3	2)2022	2)2022	VERB
iajs-2765	73	4	62	62	NUM
iajs-2765	73	5	ƕ	ƕ	NOUN
iajs-2765	73	6	=	=	PUNCT
iajs-2765	73	7	(	(	PUNCT
iajs-2765	73	8	ǥ11̃	ǥ11̃	NUM
iajs-2765	73	9	ǥ12̌	ǥ12̌	NOUN
iajs-2765	73	10	ǥ13̃	ǥ13̃	NUM
iajs-2765	73	11	ǥ21̃	ǥ21̃	X
iajs-2765	73	12	ǥ22̃	ǥ22̃	NUM
iajs-2765	73	13	ǥ23̃	ǥ23̃	NOUN
iajs-2765	73	14	ǥ31̃	ǥ31̃	NUM
iajs-2765	73	15	ǥ32̃	ǥ32̃	X
iajs-2765	73	16	ǥ33̃	ǥ33̃	NUM
iajs-2765	73	17	…	…	PUNCT
iajs-2765	73	18	ǥ1	ǥ1	PROPN
iajs-2765	73	19	�	�	NOUN
iajs-2765	73	20	̃	̃	PROPN
iajs-2765	73	21	�	�	PROPN
iajs-2765	73	22	…	…	SYM
iajs-2765	73	23	ǥ2	ǥ2	PROPN
iajs-2765	73	24	�	�	PROPN
iajs-2765	73	25	̃	̃	PROPN
iajs-2765	73	26	�	�	PROPN
iajs-2765	73	27	…	…	SYM
iajs-2765	73	28	ǥ3	ǥ3	PROPN
iajs-2765	73	29	�	�	PROPN
iajs-2765	73	30	̃	̃	PROPN
iajs-2765	73	31	�	�	PROPN
iajs-2765	73	32	…	…	PUNCT
iajs-2765	73	33	…	…	PUNCT
iajs-2765	73	34	…	…	PUNCT
iajs-2765	73	35	…	…	PUNCT
iajs-2765	73	36	…	…	PUNCT
iajs-2765	73	37	…	…	PUNCT
iajs-2765	73	38	ǥ𝑚1̃	ǥ𝑚1̃	PROPN
iajs-2765	73	39	ǥ𝑚2̃	ǥ𝑚2̃	PROPN
iajs-2765	73	40	ǥ𝑚3̃	ǥ𝑚3̃	PROPN
iajs-2765	73	41	…	…	PUNCT
iajs-2765	73	42	…	…	PUNCT
iajs-2765	73	43	…	…	PUNCT
iajs-2765	73	44	…	…	PUNCT
iajs-2765	73	45	…	…	PUNCT
iajs-2765	73	46	ǥ𝑚	ǥ𝑚	NOUN
iajs-2765	73	47	�	�	PROPN
iajs-2765	73	48	̃	̃	NOUN
iajs-2765	73	49	�	�	PROPN
iajs-2765	73	50	)	)	PUNCT
iajs-2765	73	51	4	4	NUM
iajs-2765	73	52	.	.	PUNCT
iajs-2765	73	53	proposed	propose	VERB
iajs-2765	73	54	ranking	rank	VERB
iajs-2765	73	55	technique	technique	NOUN
iajs-2765	73	56	:	:	PUNCT
iajs-2765	73	57	in	in	ADP
iajs-2765	73	58	this	this	DET
iajs-2765	73	59	section	section	NOUN
iajs-2765	73	60	,	,	PUNCT
iajs-2765	73	61	we	we	PRON
iajs-2765	73	62	propose	propose	VERB
iajs-2765	73	63	a	a	DET
iajs-2765	73	64	new	new	ADJ
iajs-2765	73	65	ranking	rank	VERB
iajs-2765	73	66	function	function	NOUN
iajs-2765	73	67	that	that	PRON
iajs-2765	73	68	depends	depend	VERB
iajs-2765	73	69	on	on	ADP
iajs-2765	73	70	the	the	DET
iajs-2765	73	71	idea	idea	NOUN
iajs-2765	73	72	of	of	ADP
iajs-2765	73	73	the	the	DET
iajs-2765	73	74	maleki	maleki	NOUN
iajs-2765	73	75	ranking	ranking	NOUN
iajs-2765	73	76	function	function	NOUN
iajs-2765	73	77	with	with	ADP
iajs-2765	73	78	a	a	DET
iajs-2765	73	79	new	new	ADJ
iajs-2765	73	80	weight	weight	NOUN
iajs-2765	73	81	(	(	PUNCT
iajs-2765	73	82	7	7	NUM
iajs-2765	73	83	8	8	NUM
iajs-2765	73	84	)	)	PUNCT
iajs-2765	73	85	.	.	PUNCT
iajs-2765	74	1	assume	assume	VERB
iajs-2765	74	2	ǥ̃	ǥ̃	PROPN
iajs-2765	74	3	=	=	SYM
iajs-2765	74	4	(	(	PUNCT
iajs-2765	74	5	𝓉𝓅	𝓉𝓅	INTJ
iajs-2765	74	6	,	,	PUNCT
iajs-2765	74	7	𝓉ç	𝓉ç	PRON
iajs-2765	74	8	,	,	PUNCT
iajs-2765	74	9	ę	ę	PROPN
iajs-2765	74	10	,	,	PUNCT
iajs-2765	74	11	ᶁ	ᶁ	X
iajs-2765	74	12	)	)	PUNCT
iajs-2765	74	13	is	be	AUX
iajs-2765	74	14	a	a	DET
iajs-2765	74	15	trapezoidal	trapezoidal	ADJ
iajs-2765	74	16	fuzzy	fuzzy	ADJ
iajs-2765	74	17	number	number	NOUN
iajs-2765	74	18	,	,	PUNCT
iajs-2765	74	19	using	use	VERB
iajs-2765	74	20	the	the	DET
iajs-2765	74	21	following	follow	VERB
iajs-2765	74	22	formula	formula	NOUN
iajs-2765	74	23	to	to	PART
iajs-2765	74	24	find	find	VERB
iajs-2765	74	25	the	the	DET
iajs-2765	74	26	ranking	rank	VERB
iajs-2765	74	27	function	function	NOUN
iajs-2765	74	28	of	of	ADP
iajs-2765	74	29	�	�	PROPN
iajs-2765	74	30	̃	̃	PROPN
iajs-2765	74	31	�	�	PROPN
iajs-2765	74	32	.	.	PUNCT
iajs-2765	74	33	ʈ(đ̃	ʈ(đ̃	PROPN
iajs-2765	74	34	)	)	PUNCT
iajs-2765	74	35	=	=	SYM
iajs-2765	74	36	7	7	NUM
iajs-2765	74	37	8	8	NUM
iajs-2765	74	38	∫	∫	NOUN
iajs-2765	74	39	[	[	PUNCT
iajs-2765	74	40	𝑖𝑛𝑓	𝑖𝑛𝑓	NOUN
iajs-2765	74	41	1	1	NUM
iajs-2765	74	42	0	0	NUM
iajs-2765	74	43	�	�	PROPN
iajs-2765	74	44	̃	̃	PROPN
iajs-2765	74	45	�	�	PROPN
iajs-2765	74	46	ȿ	ȿ	NOUN
iajs-2765	74	47	+	+	NUM
iajs-2765	74	48	𝑠𝑢𝑝	𝑠𝑢𝑝	NOUN
iajs-2765	74	49	�	�	PROPN
iajs-2765	74	50	̃	̃	PROPN
iajs-2765	74	51	�	�	PROPN
iajs-2765	74	52	ȿ	ȿ	X
iajs-2765	74	53	]	]	PUNCT
iajs-2765	74	54	𝑑ȿ	𝑑ȿ	PROPN
iajs-2765	74	55	ʈ(đ	ʈ(đ	PROPN
iajs-2765	74	56	)	)	PUNCT
iajs-2765	74	57	=	=	SYM
iajs-2765	74	58	7	7	NUM
iajs-2765	74	59	8	8	NUM
iajs-2765	74	60	∫	∫	NOUN
iajs-2765	74	61	(	(	PUNCT
iajs-2765	74	62	(	(	PUNCT
iajs-2765	74	63	𝓉𝓅	𝓉𝓅	INTJ
iajs-2765	74	64	−	−	PROPN
iajs-2765	74	65	1	1	NUM
iajs-2765	74	66	0	0	NUM
iajs-2765	74	67	ęȿ	ęȿ	NOUN
iajs-2765	74	68	)	)	PUNCT
iajs-2765	74	69	𝑑𝛾	𝑑𝛾	PROPN
iajs-2765	75	1	+	+	CCONJ
iajs-2765	75	2	(	(	PUNCT
iajs-2765	75	3	𝓉ç	𝓉ç	X
iajs-2765	75	4	+	+	CCONJ
iajs-2765	75	5	ᶁȿ	ᶁȿ	INTJ
iajs-2765	75	6	)	)	PUNCT
iajs-2765	75	7	)	)	PUNCT
iajs-2765	76	1	𝑑ȿ	𝑑ȿ	PROPN
iajs-2765	76	2	ʈ(đ̃	ʈ(đ̃	PROPN
iajs-2765	76	3	)	)	PUNCT
iajs-2765	76	4	=	=	SYM
iajs-2765	76	5	7	7	NUM
iajs-2765	76	6	8	8	NUM
iajs-2765	76	7	[	[	PUNCT
iajs-2765	76	8	𝓉𝓅ȿ	𝓉𝓅ȿ	NOUN
iajs-2765	76	9	−	−	NUM
iajs-2765	76	10	1	1	NUM
iajs-2765	76	11	2	2	NUM
iajs-2765	76	12	ę	ę	PROPN
iajs-2765	76	13	ȿ2	ȿ2	NOUN
iajs-2765	76	14	+	+	CCONJ
iajs-2765	76	15	𝓉ç	𝓉ç	PROPN
iajs-2765	76	16	ȿ	ȿ	X
iajs-2765	77	1	+	+	NOUN
iajs-2765	77	2	1	1	NUM
iajs-2765	77	3	2	2	NUM
iajs-2765	77	4	ᶁ	ᶁ	ADP
iajs-2765	77	5	ȿ2	ȿ2	NOUN
iajs-2765	77	6	|	|	ADV
iajs-2765	77	7	0	0	NUM
iajs-2765	77	8	1	1	NUM
iajs-2765	77	9	ʈ(đ̃	ʈ(đ̃	NOUN
iajs-2765	77	10	)	)	PUNCT
iajs-2765	77	11	=	=	SYM
iajs-2765	77	12	7	7	NUM
iajs-2765	77	13	8	8	NUM
iajs-2765	77	14	(	(	PUNCT
iajs-2765	77	15	𝓉𝓅	𝓉𝓅	NOUN
iajs-2765	77	16	−	−	PROPN
iajs-2765	77	17	1	1	NUM
iajs-2765	77	18	2	2	NUM
iajs-2765	77	19	ę	ę	PROPN
iajs-2765	77	20	+	+	NOUN
iajs-2765	77	21	𝓉ç	𝓉ç	PRON
iajs-2765	77	22	+	+	CCONJ
iajs-2765	77	23	1	1	NUM
iajs-2765	77	24	2	2	NUM
iajs-2765	77	25	ᶁ	ᶁ	NOUN
iajs-2765	77	26	)	)	PUNCT
iajs-2765	77	27	ʈ(đ̃	ʈ(đ̃	NOUN
iajs-2765	77	28	)	)	PUNCT
iajs-2765	77	29	=	=	SYM
iajs-2765	77	30	7	7	NUM
iajs-2765	77	31	8	8	NUM
iajs-2765	77	32	(	(	PUNCT
iajs-2765	77	33	𝓉𝓅	𝓉𝓅	NOUN
iajs-2765	78	1	+	+	CCONJ
iajs-2765	78	2	𝓉ç	𝓉ç	PRON
iajs-2765	78	3	+	+	CCONJ
iajs-2765	78	4	1	1	NUM
iajs-2765	78	5	2	2	NUM
iajs-2765	78	6	(	(	PUNCT
iajs-2765	78	7	ᶁ	ᶁ	ADP
iajs-2765	78	8	−	−	PROPN
iajs-2765	78	9	ę	ę	PROPN
iajs-2765	78	10	)	)	PUNCT
iajs-2765	78	11	)	)	PUNCT
iajs-2765	79	1	ʈ(đ̃	ʈ(đ̃	PROPN
iajs-2765	79	2	)	)	PUNCT
iajs-2765	79	3	=	=	SYM
iajs-2765	79	4	7	7	NUM
iajs-2765	79	5	8	8	NUM
iajs-2765	79	6	(	(	PUNCT
iajs-2765	79	7	𝓉𝓅	𝓉𝓅	NOUN
iajs-2765	79	8	+	+	CCONJ
iajs-2765	79	9	𝓉ç	𝓉ç	X
iajs-2765	79	10	)	)	PUNCT
iajs-2765	79	11	+	+	CCONJ
iajs-2765	79	12	7	7	NUM
iajs-2765	79	13	16	16	NUM
iajs-2765	79	14	(	(	PUNCT
iajs-2765	79	15	ᶁ	ᶁ	X
iajs-2765	79	16	−	−	PROPN
iajs-2765	79	17	ę	ę	PROPN
iajs-2765	79	18	)	)	PUNCT
iajs-2765	79	19	.	.	PUNCT
iajs-2765	80	1	5	5	X
iajs-2765	80	2	.	.	X
iajs-2765	80	3	procedures	procedure	NOUN
iajs-2765	80	4	for	for	ADP
iajs-2765	80	5	solving	solve	VERB
iajs-2765	80	6	fgp	fgp	NOUN
iajs-2765	80	7	using	use	VERB
iajs-2765	80	8	the	the	DET
iajs-2765	80	9	matrix	matrix	NOUN
iajs-2765	80	10	oddment	oddment	NOUN
iajs-2765	80	11	method	method	NOUN
iajs-2765	80	12	:	:	PUNCT
iajs-2765	80	13	the	the	DET
iajs-2765	80	14	following	follow	VERB
iajs-2765	80	15	steps	step	NOUN
iajs-2765	80	16	are	be	AUX
iajs-2765	80	17	used	use	VERB
iajs-2765	80	18	to	to	PART
iajs-2765	80	19	implement	implement	VERB
iajs-2765	80	20	a	a	DET
iajs-2765	80	21	solution	solution	NOUN
iajs-2765	80	22	procedure	procedure	NOUN
iajs-2765	80	23	for	for	ADP
iajs-2765	80	24	solving	solve	VERB
iajs-2765	80	25	the	the	DET
iajs-2765	80	26	two	two	NUM
iajs-2765	80	27	-	-	PUNCT
iajs-2765	80	28	person	person	NOUN
iajs-2765	80	29	zero	zero	NUM
iajs-2765	80	30	-	-	PUNCT
iajs-2765	80	31	sum	sum	NOUN
iajs-2765	80	32	matrix	matrix	NOUN
iajs-2765	80	33	game	game	NOUN
iajs-2765	80	34	problems	problem	NOUN
iajs-2765	80	35	(	(	PUNCT
iajs-2765	80	36	mgp	mgp	PROPN
iajs-2765	80	37	)	)	PUNCT
iajs-2765	80	38	in	in	ADP
iajs-2765	80	39	this	this	DET
iajs-2765	80	40	section	section	NOUN
iajs-2765	80	41	:	:	PUNCT
iajs-2765	80	42	step1	step1	PROPN
iajs-2765	80	43	.	.	PUNCT
iajs-2765	81	1	in	in	ADP
iajs-2765	81	2	the	the	DET
iajs-2765	81	3	fgp	fgp	NOUN
iajs-2765	81	4	,	,	PUNCT
iajs-2765	81	5	describe	describe	VERB
iajs-2765	81	6	the	the	DET
iajs-2765	81	7	tfn	tfn	NOUN
iajs-2765	81	8	in	in	ADP
iajs-2765	81	9	its	its	PRON
iajs-2765	81	10	parametric	parametric	ADJ
iajs-2765	81	11	form	form	NOUN
iajs-2765	81	12	.	.	PUNCT
iajs-2765	82	1	step2	step2	PROPN
iajs-2765	82	2	.	.	PROPN
iajs-2765	83	1	translate	translate	VERB
iajs-2765	83	2	the	the	DET
iajs-2765	83	3	fuzzy	fuzzy	ADJ
iajs-2765	83	4	game	game	NOUN
iajs-2765	83	5	theory	theory	NOUN
iajs-2765	83	6	(	(	PUNCT
iajs-2765	83	7	fgth	fgth	NOUN
iajs-2765	83	8	)	)	PUNCT
iajs-2765	83	9	into	into	ADP
iajs-2765	83	10	a	a	DET
iajs-2765	83	11	cv	cv	PROPN
iajs-2765	83	12	problem	problem	NOUN
iajs-2765	83	13	by	by	ADP
iajs-2765	83	14	applying	apply	VERB
iajs-2765	83	15	the	the	DET
iajs-2765	83	16	new	new	ADJ
iajs-2765	83	17	rf	rf	PROPN
iajs-2765	83	18	.	.	PROPN
iajs-2765	83	19	step3	step3	PROPN
iajs-2765	83	20	.	.	PUNCT
iajs-2765	84	1	check	check	VERB
iajs-2765	84	2	and	and	CCONJ
iajs-2765	84	3	see	see	VERB
iajs-2765	84	4	if	if	SCONJ
iajs-2765	84	5	the	the	DET
iajs-2765	84	6	problem	problem	NOUN
iajs-2765	84	7	has	have	VERB
iajs-2765	84	8	a	a	DET
iajs-2765	84	9	sp	sp	NOUN
iajs-2765	84	10	.	.	PUNCT
iajs-2765	85	1	the	the	DET
iajs-2765	85	2	solution	solution	NOUN
iajs-2765	85	3	can	can	AUX
iajs-2765	85	4	be	be	AUX
iajs-2765	85	5	obtained	obtain	VERB
iajs-2765	85	6	directly	directly	ADV
iajs-2765	85	7	if	if	SCONJ
iajs-2765	85	8	it	it	PRON
iajs-2765	85	9	exists	exist	VERB
iajs-2765	85	10	.	.	PUNCT
iajs-2765	86	1	proceed	proceed	VERB
iajs-2765	86	2	to	to	ADP
iajs-2765	86	3	the	the	DET
iajs-2765	86	4	next	next	ADJ
iajs-2765	86	5	level	level	NOUN
iajs-2765	86	6	if	if	SCONJ
iajs-2765	86	7	the	the	DET
iajs-2765	86	8	sp	sp	NOUN
iajs-2765	86	9	does	do	AUX
iajs-2765	86	10	not	not	PART
iajs-2765	86	11	exist	exist	VERB
iajs-2765	86	12	.	.	PUNCT
iajs-2765	87	1	testing	test	VERB
iajs-2765	87	2	this	this	DET
iajs-2765	87	3	fuzzy	fuzzy	ADJ
iajs-2765	87	4	matrix	matrix	NOUN
iajs-2765	87	5	game	game	NOUN
iajs-2765	87	6	has	have	VERB
iajs-2765	87	7	sp	sp	ADP
iajs-2765	87	8	exists	exist	NOUN
iajs-2765	87	9	or	or	CCONJ
iajs-2765	87	10	does	do	AUX
iajs-2765	87	11	not	not	PART
iajs-2765	87	12	exist	exist	VERB
iajs-2765	87	13	,	,	PUNCT
iajs-2765	87	14	we	we	PRON
iajs-2765	87	15	will	will	AUX
iajs-2765	87	16	continue	continue	VERB
iajs-2765	87	17	in	in	ADP
iajs-2765	87	18	the	the	DET
iajs-2765	87	19	following	following	ADJ
iajs-2765	87	20	cases	case	NOUN
iajs-2765	87	21	:	:	PUNCT
iajs-2765	87	22	(	(	PUNCT
iajs-2765	87	23	𝑖	𝑖	X
iajs-2765	87	24	)	)	PUNCT
iajs-2765	87	25	take	take	VERB
iajs-2765	87	26	a	a	DET
iajs-2765	87	27	sp	sp	NOUN
iajs-2765	87	28	to	to	PART
iajs-2765	87	29	test	test	VERB
iajs-2765	87	30	.	.	PUNCT
iajs-2765	88	1	(	(	PUNCT
iajs-2765	88	2	𝑖𝑖	𝑖𝑖	NOUN
iajs-2765	88	3	)	)	PUNCT
iajs-2765	88	4	if	if	SCONJ
iajs-2765	88	5	there	there	PRON
iajs-2765	88	6	is	be	VERB
iajs-2765	88	7	no	no	DET
iajs-2765	88	8	a	a	DET
iajs-2765	88	9	sp	sp	NOUN
iajs-2765	88	10	,	,	PUNCT
iajs-2765	88	11	find	find	VERB
iajs-2765	88	12	equalizing	equalizing	NOUN
iajs-2765	88	13	strategies	strategy	NOUN
iajs-2765	88	14	to	to	PART
iajs-2765	88	15	solve	solve	VERB
iajs-2765	88	16	the	the	DET
iajs-2765	88	17	problem	problem	NOUN
iajs-2765	88	18	.	.	PUNCT
iajs-2765	89	1	ibn	ibn	PROPN
iajs-2765	89	2	al	al	PROPN
iajs-2765	89	3	-	-	PUNCT
iajs-2765	89	4	haitham	haitham	PROPN
iajs-2765	89	5	jour	jour	X
iajs-2765	89	6	.	.	PROPN
iajs-2765	89	7	for	for	ADP
iajs-2765	89	8	pure	pure	ADJ
iajs-2765	89	9	&	&	CCONJ
iajs-2765	89	10	appl	appl	PROPN
iajs-2765	89	11	.	.	PUNCT
iajs-2765	90	1	sci	sci	PROPN
iajs-2765	90	2	.	.	PROPN
iajs-2765	91	1	53	53	NUM
iajs-2765	91	2	(	(	PUNCT
iajs-2765	91	3	2)2022	2)2022	VERB
iajs-2765	91	4	63	63	NUM
iajs-2765	91	5	for	for	ADP
iajs-2765	91	6	players	player	NOUN
iajs-2765	91	7	,	,	PUNCT
iajs-2765	91	8	the	the	DET
iajs-2765	91	9	best	well	ADV
iajs-2765	91	10	-	-	PUNCT
iajs-2765	91	11	mixed	mix	VERB
iajs-2765	91	12	strategies	strategy	NOUN
iajs-2765	91	13	are	be	AUX
iajs-2765	91	14	𝛿	𝛿	ADJ
iajs-2765	91	15	=	=	SYM
iajs-2765	91	16	(	(	PUNCT
iajs-2765	91	17	ơ1	ơ1	NOUN
iajs-2765	91	18	,	,	PUNCT
iajs-2765	91	19	ơ2	ơ2	PROPN
iajs-2765	91	20	)	)	PUNCT
iajs-2765	91	21	in	in	ADP
iajs-2765	91	22	addition	addition	NOUN
iajs-2765	91	23	to	to	ADP
iajs-2765	91	24	the	the	DET
iajs-2765	91	25	player	player	NOUN
iajs-2765	91	26	ƴ	ƴ	PROPN
iajs-2765	91	27	=	=	PUNCT
iajs-2765	91	28	(	(	PUNCT
iajs-2765	91	29	ᶉ1	ᶉ1	PROPN
iajs-2765	91	30	,	,	PUNCT
iajs-2765	91	31	ᶉ2	ᶉ2	NOUN
iajs-2765	91	32	)	)	PUNCT
iajs-2765	91	33	where	where	SCONJ
iajs-2765	91	34	ơ1	ơ1	NOUN
iajs-2765	91	35	=	=	PRON
iajs-2765	91	36	ǥ22	ǥ22	VERB
iajs-2765	91	37	−ǥ12	−ǥ12	ADV
iajs-2765	91	38	(	(	PUNCT
iajs-2765	91	39	ǥ11+ǥ22)−(ǥ12+ǥ21	ǥ11+ǥ22)−(ǥ12+ǥ21	PROPN
iajs-2765	91	40	)	)	PUNCT
iajs-2765	91	41	,	,	PUNCT
iajs-2765	91	42	ơ2	ơ2	NOUN
iajs-2765	91	43	=	=	SYM
iajs-2765	91	44	1	1	NUM
iajs-2765	91	45	ơ1	ơ1	NOUN
iajs-2765	91	46	ᶉ1	ᶉ1	PROPN
iajs-2765	91	47	=	=	PUNCT
iajs-2765	91	48	ǥ22	ǥ22	VERB
iajs-2765	91	49	−ǥ21	−ǥ21	PROPN
iajs-2765	91	50	(	(	PUNCT
iajs-2765	91	51	ǥ11+ǥ22)−(ǥ12+ǥ21	ǥ11+ǥ22)−(ǥ12+ǥ21	PROPN
iajs-2765	91	52	)	)	PUNCT
iajs-2765	91	53	,	,	PUNCT
iajs-2765	91	54	ᶉ2	ᶉ2	NOUN
iajs-2765	91	55	=	=	SYM
iajs-2765	91	56	1	1	NUM
iajs-2765	91	57	ᶉ1	ᶉ1	NOUN
iajs-2765	91	58	and	and	CCONJ
iajs-2765	91	59	value	value	NOUN
iajs-2765	91	60	of	of	ADP
iajs-2765	91	61	the	the	DET
iajs-2765	91	62	game	game	NOUN
iajs-2765	91	63	ℂ	ℂ	PROPN
iajs-2765	91	64	=	=	PUNCT
iajs-2765	91	65	ǥ11∗ǥ22−ǥ12∗ǥ21	ǥ11∗ǥ22−ǥ12∗ǥ21	PROPN
iajs-2765	91	66	(	(	PUNCT
iajs-2765	91	67	ǥ11+ǥ22)−(ǥ12+ǥ21	ǥ11+ǥ22)−(ǥ12+ǥ21	PROPN
iajs-2765	91	68	)	)	PUNCT
iajs-2765	91	69	step4	step4	PROPN
iajs-2765	91	70	.	.	PUNCT
iajs-2765	92	1	to	to	PART
iajs-2765	92	2	solve	solve	VERB
iajs-2765	92	3	problems	problem	NOUN
iajs-2765	92	4	in	in	ADP
iajs-2765	92	5	g	g	PROPN
iajs-2765	92	6	th	th	NUM
iajs-2765	92	7	,	,	PUNCT
iajs-2765	92	8	use	use	VERB
iajs-2765	92	9	the	the	DET
iajs-2765	92	10	arithmetic	arithmetic	ADJ
iajs-2765	92	11	(	(	PUNCT
iajs-2765	92	12	oddment	oddment	PROPN
iajs-2765	92	13	)	)	PUNCT
iajs-2765	92	14	approach	approach	NOUN
iajs-2765	92	15	to	to	PART
iajs-2765	92	16	find	find	VERB
iajs-2765	92	17	the	the	DET
iajs-2765	92	18	best	good	ADJ
iajs-2765	92	19	strategies	strategy	NOUN
iajs-2765	92	20	and	and	CCONJ
iajs-2765	92	21	the	the	DET
iajs-2765	92	22	corresponding	corresponding	ADJ
iajs-2765	92	23	matrix	matrix	NOUN
iajs-2765	92	24	game	game	NOUN
iajs-2765	92	25	value	value	NOUN
iajs-2765	92	26	for	for	ADP
iajs-2765	92	27	players	player	NOUN
iajs-2765	92	28	.	.	PUNCT
iajs-2765	93	1	6	6	NUM
iajs-2765	93	2	.	.	X
iajs-2765	93	3	numerical	numerical	ADJ
iajs-2765	93	4	examples	example	NOUN
iajs-2765	93	5	:	:	PUNCT
iajs-2765	93	6	example	example	NOUN
iajs-2765	93	7	1	1	NUM
iajs-2765	93	8	:	:	PUNCT
iajs-2765	93	9	consider	consider	VERB
iajs-2765	93	10	the	the	DET
iajs-2765	93	11	payoff	payoff	NOUN
iajs-2765	93	12	problem	problem	NOUN
iajs-2765	93	13	of	of	ADP
iajs-2765	93	14	the	the	DET
iajs-2765	93	15	following	follow	VERB
iajs-2765	93	16	fuzzy	fuzzy	ADJ
iajs-2765	93	17	game	game	NOUN
iajs-2765	93	18	as	as	ADP
iajs-2765	93	19	tfn	tfn	NOUN
iajs-2765	93	20	.	.	PUNCT
iajs-2765	94	1	ƴ	ƴ	PROPN
iajs-2765	94	2	𝛿	𝛿	X
iajs-2765	94	3	(	(	PUNCT
iajs-2765	94	4	30	30	NUM
iajs-2765	94	5	12	12	NUM
iajs-2765	94	6	7	7	NUM
iajs-2765	94	7	9	9	NUM
iajs-2765	94	8	19	19	NUM
iajs-2765	94	9	10	10	NUM
iajs-2765	94	10	28	28	NUM
iajs-2765	94	11	21	21	NUM
iajs-2765	94	12	32	32	NUM
iajs-2765	94	13	)	)	PUNCT
iajs-2765	94	14	the	the	DET
iajs-2765	94	15	minimum	minimum	NOUN
iajs-2765	94	16	in	in	ADP
iajs-2765	94	17	the	the	DET
iajs-2765	94	18	first	first	ADJ
iajs-2765	94	19	row	row	NOUN
iajs-2765	94	20	=	=	PUNCT
iajs-2765	94	21	7	7	NUM
iajs-2765	94	22	the	the	DET
iajs-2765	94	23	minimum	minimum	NOUN
iajs-2765	94	24	in	in	ADP
iajs-2765	94	25	the	the	DET
iajs-2765	94	26	second	second	ADJ
iajs-2765	94	27	row=	row=	PROPN
iajs-2765	94	28	9	9	NUM
iajs-2765	94	29	the	the	DET
iajs-2765	94	30	minimum	minimum	NOUN
iajs-2765	94	31	in	in	ADP
iajs-2765	94	32	the	the	DET
iajs-2765	94	33	third	third	ADJ
iajs-2765	94	34	row	row	NOUN
iajs-2765	94	35	=	=	PUNCT
iajs-2765	94	36	21	21	NUM
iajs-2765	94	37	the	the	DET
iajs-2765	94	38	maximum	maximum	NOUN
iajs-2765	94	39	in	in	ADP
iajs-2765	94	40	the	the	DET
iajs-2765	94	41	first	first	ADJ
iajs-2765	94	42	column	column	NOUN
iajs-2765	94	43	=	=	PUNCT
iajs-2765	94	44	30	30	NUM
iajs-2765	94	45	the	the	DET
iajs-2765	94	46	maximum	maximum	NOUN
iajs-2765	94	47	in	in	ADP
iajs-2765	94	48	the	the	DET
iajs-2765	94	49	second	second	ADJ
iajs-2765	94	50	column	column	NOUN
iajs-2765	94	51	=	=	NOUN
iajs-2765	94	52	21	21	NUM
iajs-2765	94	53	the	the	DET
iajs-2765	94	54	maximum	maximum	NOUN
iajs-2765	94	55	in	in	ADP
iajs-2765	94	56	the	the	DET
iajs-2765	94	57	third	third	ADJ
iajs-2765	94	58	column	column	NOUN
iajs-2765	94	59	=	=	NOUN
iajs-2765	94	60	32	32	NUM
iajs-2765	94	61	maximum	maximum	ADJ
iajs-2765	94	62	(	(	PUNCT
iajs-2765	94	63	minimum	minimum	NOUN
iajs-2765	94	64	)	)	PUNCT
iajs-2765	94	65	=	=	SYM
iajs-2765	95	1	21	21	NUM
iajs-2765	95	2	also	also	ADV
iajs-2765	95	3	minimum	minimum	ADJ
iajs-2765	95	4	(	(	PUNCT
iajs-2765	95	5	maximum	maximum	ADJ
iajs-2765	95	6	)	)	PUNCT
iajs-2765	95	7	=	=	SYM
iajs-2765	95	8	21	21	NUM
iajs-2765	95	9	it	it	PRON
iajs-2765	95	10	has	have	VERB
iajs-2765	95	11	saddle	saddle	NOUN
iajs-2765	95	12	point	point	NOUN
iajs-2765	95	13	.	.	PUNCT
iajs-2765	96	1	value	value	NOUN
iajs-2765	96	2	of	of	ADP
iajs-2765	96	3	game	game	NOUN
iajs-2765	96	4	=	=	SYM
iajs-2765	96	5	21	21	NUM
iajs-2765	96	6	consider	consider	VERB
iajs-2765	96	7	the	the	DET
iajs-2765	96	8	following	follow	VERB
iajs-2765	96	9	fuzzy	fuzzy	ADJ
iajs-2765	96	10	game	game	NOUN
iajs-2765	96	11	problem	problem	NOUN
iajs-2765	96	12	(	(	PUNCT
iajs-2765	96	13	fgp	fgp	X
iajs-2765	96	14	):	):	PUNCT
iajs-2765	96	15	ƴ	ƴ	PRON
iajs-2765	96	16	𝛿	𝛿	X
iajs-2765	96	17	(	(	PUNCT
iajs-2765	96	18	(	(	PUNCT
iajs-2765	96	19	28,32,0.3,1.7	28,32,0.3,1.7	NUM
iajs-2765	96	20	)	)	PUNCT
iajs-2765	96	21	(	(	PUNCT
iajs-2765	96	22	10,14,0.3,1.7	10,14,0.3,1.7	NUM
iajs-2765	96	23	)	)	PUNCT
iajs-2765	96	24	(	(	PUNCT
iajs-2765	96	25	5,9,0.3,1.7	5,9,0.3,1.7	NOUN
iajs-2765	96	26	)	)	PUNCT
iajs-2765	96	27	(	(	PUNCT
iajs-2765	96	28	7,11,0.4,1.6	7,11,0.4,1.6	NUM
iajs-2765	96	29	)	)	PUNCT
iajs-2765	96	30	(	(	PUNCT
iajs-2765	96	31	17,21,0.4,1.6	17,21,0.4,1.6	NUM
iajs-2765	96	32	)	)	PUNCT
iajs-2765	96	33	(	(	PUNCT
iajs-2765	96	34	8,12,0.4,1.6	8,12,0.4,1.6	NUM
iajs-2765	96	35	)	)	PUNCT
iajs-2765	96	36	(	(	PUNCT
iajs-2765	96	37	26,30,0.2,1.8	26,30,0.2,1.8	NUM
iajs-2765	96	38	)	)	PUNCT
iajs-2765	96	39	(	(	PUNCT
iajs-2765	96	40	19,23,0.2,1.8	19,23,0.2,1.8	NUM
iajs-2765	96	41	)	)	PUNCT
iajs-2765	96	42	(	(	PUNCT
iajs-2765	96	43	30,34,0.2,1.8	30,34,0.2,1.8	NUM
iajs-2765	96	44	)	)	PUNCT
iajs-2765	96	45	)	)	PUNCT
iajs-2765	97	1	step1	step1	PROPN
iajs-2765	97	2	.	.	PUNCT
iajs-2765	98	1	we	we	PRON
iajs-2765	98	2	obtain	obtain	VERB
iajs-2765	98	3	the	the	DET
iajs-2765	98	4	values	value	NOUN
iajs-2765	98	5	of	of	ADP
iajs-2765	98	6	ʈ	ʈ	PROPN
iajs-2765	98	7	(	(	PUNCT
iajs-2765	98	8	đ	đ	NOUN
iajs-2765	98	9	)	)	PUNCT
iajs-2765	98	10	for	for	ADP
iajs-2765	98	11	the	the	DET
iajs-2765	98	12	given	give	VERB
iajs-2765	98	13	fgp	fgp	NOUN
iajs-2765	98	14	and	and	CCONJ
iajs-2765	98	15	transform	transform	VERB
iajs-2765	98	16	it	it	PRON
iajs-2765	98	17	to	to	ADP
iajs-2765	98	18	a	a	DET
iajs-2765	98	19	cv	cv	PROPN
iajs-2765	98	20	problem	problem	NOUN
iajs-2765	98	21	,	,	PUNCT
iajs-2765	98	22	as	as	SCONJ
iajs-2765	98	23	shown	show	VERB
iajs-2765	98	24	in	in	ADP
iajs-2765	98	25	the	the	DET
iajs-2765	98	26	table	table	NOUN
iajs-2765	98	27	below	below	ADV
iajs-2765	98	28	.	.	PUNCT
iajs-2765	99	1	ibn	ibn	PROPN
iajs-2765	99	2	al	al	PROPN
iajs-2765	99	3	-	-	PUNCT
iajs-2765	99	4	haitham	haitham	PROPN
iajs-2765	99	5	jour	jour	X
iajs-2765	99	6	.	.	PROPN
iajs-2765	99	7	for	for	ADP
iajs-2765	99	8	pure	pure	ADJ
iajs-2765	99	9	&	&	CCONJ
iajs-2765	99	10	appl	appl	PROPN
iajs-2765	99	11	.	.	PUNCT
iajs-2765	100	1	sci	sci	PROPN
iajs-2765	100	2	.	.	PROPN
iajs-2765	101	1	53	53	NUM
iajs-2765	101	2	(	(	PUNCT
iajs-2765	101	3	2)2022	2)2022	VERB
iajs-2765	101	4	64	64	NUM
iajs-2765	101	5	table	table	NOUN
iajs-2765	101	6	1	1	NUM
iajs-2765	101	7	.	.	PUNCT
iajs-2765	102	1	the	the	DET
iajs-2765	102	2	tfn	tfn	NOUN
iajs-2765	102	3	problem	problem	NOUN
iajs-2765	102	4	is	be	AUX
iajs-2765	102	5	transformed	transform	VERB
iajs-2765	102	6	cv	cv	PROPN
iajs-2765	102	7	in	in	ADP
iajs-2765	102	8	example1	example1	PROPN
iajs-2765	102	9	.	.	PUNCT
iajs-2765	103	1	step2	step2	PROPN
iajs-2765	103	2	.	.	PUNCT
iajs-2765	104	1	the	the	DET
iajs-2765	104	2	given	give	VERB
iajs-2765	104	3	fgp	fgp	NOUN
iajs-2765	104	4	is	be	AUX
iajs-2765	104	5	reduced	reduce	VERB
iajs-2765	104	6	in	in	ADP
iajs-2765	104	7	the	the	DET
iajs-2765	104	8	following	follow	VERB
iajs-2765	104	9	payoff	payoff	NOUN
iajs-2765	104	10	matrix	matrix	NOUN
iajs-2765	104	11	:	:	PUNCT
iajs-2765	104	12	ƴ	ƴ	PROPN
iajs-2765	104	13	𝛿	𝛿	X
iajs-2765	104	14	(	(	PUNCT
iajs-2765	104	15	53.1125	53.1125	NUM
iajs-2765	104	16	21.6125	21.6125	NUM
iajs-2765	104	17	12.8625	12.8625	NUM
iajs-2765	104	18	16.2750	16.2750	NUM
iajs-2765	104	19	33.7750	33.7750	NUM
iajs-2765	104	20	18.0250	18.0250	NUM
iajs-2765	104	21	49.7000	49.7000	NUM
iajs-2765	104	22	37.4500	37.4500	NUM
iajs-2765	104	23	56.7000	56.7000	NUM
iajs-2765	104	24	)	)	PUNCT
iajs-2765	104	25	the	the	DET
iajs-2765	104	26	minimum	minimum	NOUN
iajs-2765	104	27	in	in	ADP
iajs-2765	104	28	the	the	DET
iajs-2765	104	29	first	first	ADJ
iajs-2765	104	30	row	row	NOUN
iajs-2765	104	31	=	=	NOUN
iajs-2765	104	32	12.8625	12.8625	NUM
iajs-2765	104	33	the	the	DET
iajs-2765	104	34	minimum	minimum	NOUN
iajs-2765	104	35	in	in	ADP
iajs-2765	104	36	the	the	DET
iajs-2765	104	37	second	second	ADJ
iajs-2765	104	38	row	row	NOUN
iajs-2765	104	39	=	=	SYM
iajs-2765	104	40	16.2750	16.2750	NUM
iajs-2765	104	41	the	the	DET
iajs-2765	104	42	minimum	minimum	NOUN
iajs-2765	104	43	in	in	ADP
iajs-2765	104	44	the	the	DET
iajs-2765	104	45	third	third	ADJ
iajs-2765	104	46	row	row	NOUN
iajs-2765	104	47	=	=	SYM
iajs-2765	104	48	37.4500	37.4500	NUM
iajs-2765	104	49	the	the	DET
iajs-2765	104	50	maximum	maximum	NOUN
iajs-2765	104	51	in	in	ADP
iajs-2765	104	52	the	the	DET
iajs-2765	104	53	first	first	ADJ
iajs-2765	104	54	column	column	NOUN
iajs-2765	104	55	=	=	NOUN
iajs-2765	104	56	53.1125	53.1125	NUM
iajs-2765	104	57	the	the	DET
iajs-2765	104	58	maximum	maximum	NOUN
iajs-2765	104	59	in	in	ADP
iajs-2765	104	60	the	the	DET
iajs-2765	104	61	second	second	ADJ
iajs-2765	104	62	column	column	NOUN
iajs-2765	104	63	=	=	PUNCT
iajs-2765	104	64	37.4500	37.4500	NUM
iajs-2765	104	65	the	the	DET
iajs-2765	104	66	maximum	maximum	NOUN
iajs-2765	104	67	in	in	ADP
iajs-2765	104	68	the	the	DET
iajs-2765	104	69	third	third	ADJ
iajs-2765	104	70	column	column	NOUN
iajs-2765	104	71	=	=	NOUN
iajs-2765	104	72	56.7000	56.7000	NUM
iajs-2765	104	73	maximum	maximum	ADJ
iajs-2765	104	74	(	(	PUNCT
iajs-2765	104	75	minimum	minimum	NOUN
iajs-2765	104	76	)	)	PUNCT
iajs-2765	104	77	=	=	SYM
iajs-2765	104	78	37.4500	37.4500	NUM
iajs-2765	104	79	also	also	ADV
iajs-2765	104	80	minimum	minimum	ADJ
iajs-2765	104	81	(	(	PUNCT
iajs-2765	104	82	maximum	maximum	ADJ
iajs-2765	104	83	)	)	PUNCT
iajs-2765	104	84	=	=	SYM
iajs-2765	105	1	37.4500	37.4500	NUM
iajs-2765	105	2	it	it	PRON
iajs-2765	105	3	has	have	VERB
iajs-2765	105	4	saddle	saddle	NOUN
iajs-2765	105	5	point	point	NOUN
iajs-2765	105	6	.	.	PUNCT
iajs-2765	106	1	value	value	NOUN
iajs-2765	106	2	of	of	ADP
iajs-2765	106	3	game	game	NOUN
iajs-2765	106	4	=	=	SYM
iajs-2765	106	5	37.4500	37.4500	NUM
iajs-2765	106	6	example	example	NOUN
iajs-2765	106	7	2	2	NUM
iajs-2765	106	8	:	:	PUNCT
iajs-2765	106	9	consider	consider	VERB
iajs-2765	106	10	the	the	DET
iajs-2765	106	11	payoff	payoff	NOUN
iajs-2765	106	12	problem	problem	NOUN
iajs-2765	106	13	of	of	ADP
iajs-2765	106	14	the	the	DET
iajs-2765	106	15	following	follow	VERB
iajs-2765	106	16	fg	fg	PRON
iajs-2765	106	17	as	as	ADP
iajs-2765	106	18	tfn	tfn	NOUN
iajs-2765	106	19	.	.	PUNCT
iajs-2765	107	1	ƴ	ƴ	PROPN
iajs-2765	107	2	𝛿	𝛿	X
iajs-2765	107	3	(	(	PUNCT
iajs-2765	107	4	3	3	NUM
iajs-2765	107	5	13	13	NUM
iajs-2765	107	6	5	5	NUM
iajs-2765	107	7	7	7	NUM
iajs-2765	107	8	14	14	NUM
iajs-2765	107	9	8	8	NUM
iajs-2765	107	10	12	12	NUM
iajs-2765	107	11	16	16	NUM
iajs-2765	107	12	6	6	NUM
iajs-2765	107	13	)	)	PUNCT
iajs-2765	107	14	ǥ11	ǥ11	NOUN
iajs-2765	107	15	=	=	SYM
iajs-2765	107	16	(	(	PUNCT
iajs-2765	107	17	28,32,0.3,1.7	28,32,0.3,1.7	NUM
iajs-2765	107	18	)	)	PUNCT
iajs-2765	107	19	ʈ	ʈ	PROPN
iajs-2765	107	20	(	(	PUNCT
iajs-2765	107	21	ǥ11	ǥ11	NOUN
iajs-2765	107	22	)	)	PUNCT
iajs-2765	107	23	=	=	SYM
iajs-2765	107	24	53.1125	53.1125	NUM
iajs-2765	107	25	ǥ12	ǥ12	NOUN
iajs-2765	107	26	=	=	SYM
iajs-2765	107	27	(	(	PUNCT
iajs-2765	107	28	10,14,0.3,1.7	10,14,0.3,1.7	NUM
iajs-2765	107	29	)	)	PUNCT
iajs-2765	107	30	ʈ	ʈ	PROPN
iajs-2765	107	31	(	(	PUNCT
iajs-2765	107	32	ǥ12	ǥ12	PROPN
iajs-2765	107	33	)	)	PUNCT
iajs-2765	107	34	=	=	PUNCT
iajs-2765	107	35	21.6125	21.6125	NUM
iajs-2765	107	36	ǥ13	ǥ13	NOUN
iajs-2765	107	37	=	=	SYM
iajs-2765	107	38	(	(	PUNCT
iajs-2765	107	39	5,9,0.3,1.7	5,9,0.3,1.7	NUM
iajs-2765	107	40	)	)	PUNCT
iajs-2765	107	41	ʈ	ʈ	PROPN
iajs-2765	107	42	(	(	PUNCT
iajs-2765	107	43	ǥ13	ǥ13	NOUN
iajs-2765	107	44	)	)	PUNCT
iajs-2765	107	45	=	=	PUNCT
iajs-2765	107	46	12.8625	12.8625	NUM
iajs-2765	107	47	ǥ21	ǥ21	NOUN
iajs-2765	107	48	=	=	SYM
iajs-2765	107	49	(	(	PUNCT
iajs-2765	107	50	7,11,0.4,1.6	7,11,0.4,1.6	NOUN
iajs-2765	107	51	)	)	PUNCT
iajs-2765	107	52	ʈ	ʈ	X
iajs-2765	107	53	(	(	PUNCT
iajs-2765	107	54	ǥ21	ǥ21	PROPN
iajs-2765	107	55	)	)	PUNCT
iajs-2765	107	56	=	=	SYM
iajs-2765	107	57	16.2750	16.2750	NUM
iajs-2765	107	58	ǥ22	ǥ22	NOUN
iajs-2765	107	59	=	=	SYM
iajs-2765	107	60	(	(	PUNCT
iajs-2765	107	61	(	(	PUNCT
iajs-2765	107	62	17,21,0.4,1.6	17,21,0.4,1.6	NUM
iajs-2765	107	63	)	)	PUNCT
iajs-2765	107	64	ʈ	ʈ	PROPN
iajs-2765	107	65	(	(	PUNCT
iajs-2765	107	66	ǥ22	ǥ22	PROPN
iajs-2765	107	67	)	)	PUNCT
iajs-2765	107	68	=	=	PUNCT
iajs-2765	107	69	33.7750	33.7750	NUM
iajs-2765	107	70	ǥ23	ǥ23	PRON
iajs-2765	107	71	=	=	SYM
iajs-2765	107	72	(	(	PUNCT
iajs-2765	107	73	8,12,0.4,1.6	8,12,0.4,1.6	NUM
iajs-2765	107	74	)	)	PUNCT
iajs-2765	107	75	ʈ	ʈ	X
iajs-2765	107	76	(	(	PUNCT
iajs-2765	107	77	ǥ23	ǥ23	ADJ
iajs-2765	107	78	)	)	PUNCT
iajs-2765	107	79	=	=	SYM
iajs-2765	107	80	18.0250	18.0250	NUM
iajs-2765	107	81	ǥ31	ǥ31	NOUN
iajs-2765	107	82	=	=	SYM
iajs-2765	107	83	(	(	PUNCT
iajs-2765	107	84	26,30,0.2,1.8	26,30,0.2,1.8	NUM
iajs-2765	107	85	)	)	PUNCT
iajs-2765	107	86	ʈ	ʈ	PROPN
iajs-2765	107	87	(	(	PUNCT
iajs-2765	107	88	ǥ31	ǥ31	PROPN
iajs-2765	107	89	)	)	PUNCT
iajs-2765	107	90	=	=	SYM
iajs-2765	107	91	49.7000	49.7000	NUM
iajs-2765	107	92	ǥ32	ǥ32	NOUN
iajs-2765	107	93	=	=	SYM
iajs-2765	107	94	(	(	PUNCT
iajs-2765	107	95	(	(	PUNCT
iajs-2765	107	96	19,23,0.2,1.8	19,23,0.2,1.8	NUM
iajs-2765	107	97	)	)	PUNCT
iajs-2765	107	98	ʈ	ʈ	PROPN
iajs-2765	107	99	(	(	PUNCT
iajs-2765	107	100	ǥ32	ǥ32	PROPN
iajs-2765	107	101	)	)	PUNCT
iajs-2765	107	102	=	=	SYM
iajs-2765	107	103	37.4500	37.4500	NUM
iajs-2765	107	104	ǥ33	ǥ33	NOUN
iajs-2765	107	105	=	=	SYM
iajs-2765	107	106	(	(	PUNCT
iajs-2765	107	107	30,34,0.2,1.8	30,34,0.2,1.8	NUM
iajs-2765	107	108	)	)	PUNCT
iajs-2765	107	109	ʈ	ʈ	PROPN
iajs-2765	107	110	(	(	PUNCT
iajs-2765	107	111	ǥ33	ǥ33	PROPN
iajs-2765	107	112	)	)	PUNCT
iajs-2765	107	113	=	=	NOUN
iajs-2765	107	114	56.7000	56.7000	NUM
iajs-2765	107	115	ibn	ibn	PROPN
iajs-2765	107	116	al	al	PROPN
iajs-2765	107	117	-	-	PUNCT
iajs-2765	107	118	haitham	haitham	PROPN
iajs-2765	107	119	jour	jour	X
iajs-2765	107	120	.	.	PROPN
iajs-2765	108	1	for	for	ADP
iajs-2765	108	2	pure	pure	ADJ
iajs-2765	108	3	&	&	CCONJ
iajs-2765	108	4	appl	appl	PROPN
iajs-2765	108	5	.	.	PUNCT
iajs-2765	109	1	sci	sci	PROPN
iajs-2765	109	2	.	.	PROPN
iajs-2765	110	1	53	53	NUM
iajs-2765	110	2	(	(	PUNCT
iajs-2765	110	3	2)2022	2)2022	VERB
iajs-2765	110	4	65	65	NUM
iajs-2765	110	5	the	the	DET
iajs-2765	110	6	minimum	minimum	NOUN
iajs-2765	110	7	in	in	ADP
iajs-2765	110	8	the	the	DET
iajs-2765	110	9	first	first	ADJ
iajs-2765	110	10	row	row	NOUN
iajs-2765	110	11	=	=	SYM
iajs-2765	110	12	3	3	NUM
iajs-2765	110	13	the	the	DET
iajs-2765	110	14	minimum	minimum	NOUN
iajs-2765	110	15	in	in	ADP
iajs-2765	110	16	the	the	DET
iajs-2765	110	17	second	second	ADJ
iajs-2765	110	18	row	row	NOUN
iajs-2765	110	19	=	=	NOUN
iajs-2765	110	20	7	7	NUM
iajs-2765	110	21	the	the	DET
iajs-2765	110	22	minimum	minimum	NOUN
iajs-2765	110	23	in	in	ADP
iajs-2765	110	24	the	the	DET
iajs-2765	110	25	third	third	ADJ
iajs-2765	110	26	row	row	NOUN
iajs-2765	110	27	=	=	NOUN
iajs-2765	110	28	6	6	NUM
iajs-2765	110	29	the	the	DET
iajs-2765	110	30	maximum	maximum	NOUN
iajs-2765	110	31	in	in	ADP
iajs-2765	110	32	the	the	DET
iajs-2765	110	33	first	first	ADJ
iajs-2765	110	34	column	column	NOUN
iajs-2765	110	35	=	=	NOUN
iajs-2765	110	36	12	12	NUM
iajs-2765	110	37	the	the	DET
iajs-2765	110	38	maximum	maximum	NOUN
iajs-2765	110	39	in	in	ADP
iajs-2765	110	40	the	the	DET
iajs-2765	110	41	second	second	ADJ
iajs-2765	110	42	column	column	NOUN
iajs-2765	110	43	=	=	NOUN
iajs-2765	110	44	16	16	NUM
iajs-2765	110	45	the	the	DET
iajs-2765	110	46	maximum	maximum	NOUN
iajs-2765	110	47	in	in	ADP
iajs-2765	110	48	the	the	DET
iajs-2765	110	49	third	third	ADJ
iajs-2765	110	50	column	column	NOUN
iajs-2765	110	51	=	=	NOUN
iajs-2765	110	52	8	8	NUM
iajs-2765	110	53	maximum	maximum	ADJ
iajs-2765	110	54	(	(	PUNCT
iajs-2765	110	55	minimum	minimum	NOUN
iajs-2765	110	56	)	)	PUNCT
iajs-2765	110	57	=	=	SYM
iajs-2765	110	58	7	7	NUM
iajs-2765	110	59	but	but	CCONJ
iajs-2765	110	60	minimum	minimum	ADJ
iajs-2765	110	61	(	(	PUNCT
iajs-2765	110	62	maximum	maximum	ADJ
iajs-2765	110	63	)	)	PUNCT
iajs-2765	110	64	=	=	SYM
iajs-2765	110	65	8	8	NUM
iajs-2765	110	66	here	here	ADV
iajs-2765	110	67	maximum	maximum	ADJ
iajs-2765	110	68	(	(	PUNCT
iajs-2765	110	69	minimum	minimum	NOUN
iajs-2765	110	70	)	)	PUNCT
iajs-2765	110	71	≠	≠	PROPN
iajs-2765	110	72	minimum	minimum	NOUN
iajs-2765	110	73	(	(	PUNCT
iajs-2765	110	74	maximum	maximum	ADJ
iajs-2765	110	75	)	)	PUNCT
iajs-2765	110	76	.	.	PUNCT
iajs-2765	111	1	it	it	PRON
iajs-2765	111	2	has	have	VERB
iajs-2765	111	3	no	no	DET
iajs-2765	111	4	sp	sp	NOUN
iajs-2765	111	5	.	.	PUNCT
iajs-2765	112	1	the	the	DET
iajs-2765	112	2	dominance	dominance	NOUN
iajs-2765	112	3	approach	approach	NOUN
iajs-2765	112	4	is	be	AUX
iajs-2765	112	5	used	use	VERB
iajs-2765	112	6	.	.	PUNCT
iajs-2765	113	1	the	the	DET
iajs-2765	113	2	second	second	ADJ
iajs-2765	113	3	and	and	CCONJ
iajs-2765	113	4	third	third	ADJ
iajs-2765	113	5	rows	row	NOUN
iajs-2765	113	6	clearly	clearly	ADV
iajs-2765	113	7	dominate	dominate	VERB
iajs-2765	113	8	the	the	DET
iajs-2765	113	9	first	first	ADJ
iajs-2765	113	10	row	row	NOUN
iajs-2765	113	11	,	,	PUNCT
iajs-2765	113	12	as	as	SCONJ
iajs-2765	113	13	all	all	PRON
iajs-2765	113	14	of	of	ADP
iajs-2765	113	15	the	the	DET
iajs-2765	113	16	elements	element	NOUN
iajs-2765	113	17	in	in	ADP
iajs-2765	113	18	the	the	DET
iajs-2765	113	19	first	first	ADJ
iajs-2765	113	20	row	row	NOUN
iajs-2765	113	21	are	be	AUX
iajs-2765	113	22	lower	low	ADJ
iajs-2765	113	23	than	than	ADP
iajs-2765	113	24	those	those	PRON
iajs-2765	113	25	in	in	ADP
iajs-2765	113	26	the	the	DET
iajs-2765	113	27	second	second	ADJ
iajs-2765	113	28	and	and	CCONJ
iajs-2765	113	29	third	third	ADJ
iajs-2765	113	30	rows	row	NOUN
iajs-2765	113	31	.	.	PUNCT
iajs-2765	114	1	as	as	ADP
iajs-2765	114	2	a	a	DET
iajs-2765	114	3	result	result	NOUN
iajs-2765	114	4	of	of	ADP
iajs-2765	114	5	removing	remove	VERB
iajs-2765	114	6	the	the	DET
iajs-2765	114	7	first	first	ADJ
iajs-2765	114	8	row	row	NOUN
iajs-2765	114	9	,	,	PUNCT
iajs-2765	114	10	we	we	PRON
iajs-2765	114	11	get	get	VERB
iajs-2765	114	12	ƴ	ƴ	ADP
iajs-2765	114	13	𝛿	𝛿	ADJ
iajs-2765	114	14	(	(	PUNCT
iajs-2765	114	15	7	7	NUM
iajs-2765	114	16	14	14	NUM
iajs-2765	114	17	8	8	NUM
iajs-2765	114	18	12	12	NUM
iajs-2765	114	19	16	16	NUM
iajs-2765	114	20	6	6	NUM
iajs-2765	114	21	)	)	PUNCT
iajs-2765	114	22	since	since	SCONJ
iajs-2765	114	23	all	all	PRON
iajs-2765	114	24	of	of	ADP
iajs-2765	114	25	the	the	DET
iajs-2765	114	26	elements	element	NOUN
iajs-2765	114	27	in	in	ADP
iajs-2765	114	28	the	the	DET
iajs-2765	114	29	second	second	ADJ
iajs-2765	114	30	column	column	NOUN
iajs-2765	114	31	are	be	AUX
iajs-2765	114	32	greater	great	ADJ
iajs-2765	114	33	than	than	ADP
iajs-2765	114	34	those	those	PRON
iajs-2765	114	35	in	in	ADP
iajs-2765	114	36	the	the	DET
iajs-2765	114	37	first	first	ADJ
iajs-2765	114	38	and	and	CCONJ
iajs-2765	114	39	third	third	ADJ
iajs-2765	114	40	columns	column	NOUN
iajs-2765	114	41	,	,	PUNCT
iajs-2765	114	42	the	the	DET
iajs-2765	114	43	second	second	ADJ
iajs-2765	114	44	column	column	NOUN
iajs-2765	114	45	is	be	AUX
iajs-2765	114	46	once	once	ADV
iajs-2765	114	47	again	again	ADV
iajs-2765	114	48	dominated	dominate	VERB
iajs-2765	114	49	by	by	ADP
iajs-2765	114	50	the	the	DET
iajs-2765	114	51	first	first	ADJ
iajs-2765	114	52	and	and	CCONJ
iajs-2765	114	53	third	third	ADJ
iajs-2765	114	54	columns	column	NOUN
iajs-2765	114	55	.	.	PUNCT
iajs-2765	115	1	as	as	ADP
iajs-2765	115	2	a	a	DET
iajs-2765	115	3	consequence	consequence	NOUN
iajs-2765	115	4	of	of	ADP
iajs-2765	115	5	removing	remove	VERB
iajs-2765	115	6	the	the	DET
iajs-2765	115	7	second	second	ADJ
iajs-2765	115	8	column	column	NOUN
iajs-2765	115	9	,	,	PUNCT
iajs-2765	115	10	we	we	PRON
iajs-2765	115	11	get	get	VERB
iajs-2765	115	12	ƴ	ƴ	ADP
iajs-2765	115	13	𝛿	𝛿	ADJ
iajs-2765	115	14	(	(	PUNCT
iajs-2765	115	15	7	7	NUM
iajs-2765	115	16	8	8	NUM
iajs-2765	115	17	12	12	NUM
iajs-2765	115	18	6	6	NUM
iajs-2765	115	19	)	)	PUNCT
iajs-2765	115	20	to	to	PART
iajs-2765	115	21	determine	determine	VERB
iajs-2765	115	22	the	the	DET
iajs-2765	115	23	best	good	ADJ
iajs-2765	115	24	mixed	mixed	ADJ
iajs-2765	115	25	strategy	strategy	NOUN
iajs-2765	115	26	and	and	CCONJ
iajs-2765	115	27	game	game	NOUN
iajs-2765	115	28	value	value	NOUN
iajs-2765	115	29	:	:	PUNCT
iajs-2765	115	30	now	now	ADV
iajs-2765	115	31	,	,	PUNCT
iajs-2765	115	32	ǥ11	ǥ11	NOUN
iajs-2765	115	33	=	=	SYM
iajs-2765	115	34	7	7	NUM
iajs-2765	115	35	,	,	PUNCT
iajs-2765	115	36	ǥ12	ǥ12	NOUN
iajs-2765	115	37	=	=	SYM
iajs-2765	115	38	8	8	NUM
iajs-2765	115	39	,	,	PUNCT
iajs-2765	115	40	ǥ21	ǥ21	PROPN
iajs-2765	115	41	=	=	SYM
iajs-2765	115	42	12	12	NUM
iajs-2765	115	43	,	,	PUNCT
iajs-2765	115	44	ǥ22	ǥ22	PROPN
iajs-2765	115	45	=	=	SYM
iajs-2765	115	46	6	6	NUM
iajs-2765	115	47	.	.	PUNCT
iajs-2765	116	1	ơ1	ơ1	NOUN
iajs-2765	116	2	=	=	PRON
iajs-2765	116	3	ǥ22	ǥ22	VERB
iajs-2765	116	4	−	−	PROPN
iajs-2765	116	5	ǥ12	ǥ12	NOUN
iajs-2765	116	6	(	(	PUNCT
iajs-2765	116	7	ǥ11	ǥ11	NOUN
iajs-2765	116	8	+	+	CCONJ
iajs-2765	116	9	ǥ22	ǥ22	PROPN
iajs-2765	116	10	)	)	PUNCT
iajs-2765	116	11	−	−	PROPN
iajs-2765	117	1	(	(	PUNCT
iajs-2765	117	2	ǥ12	ǥ12	NOUN
iajs-2765	117	3	+	+	CCONJ
iajs-2765	117	4	ǥ21	ǥ21	PROPN
iajs-2765	117	5	)	)	PUNCT
iajs-2765	117	6	=	=	SYM
iajs-2765	117	7	6	6	NUM
iajs-2765	117	8	−	−	NUM
iajs-2765	117	9	8	8	NUM
iajs-2765	117	10	(	(	PUNCT
iajs-2765	117	11	7	7	NUM
iajs-2765	117	12	+	+	CCONJ
iajs-2765	117	13	6	6	NUM
iajs-2765	117	14	)	)	PUNCT
iajs-2765	117	15	−	−	PROPN
iajs-2765	117	16	(	(	PUNCT
iajs-2765	117	17	8	8	NUM
iajs-2765	117	18	+	+	SYM
iajs-2765	117	19	12	12	NUM
iajs-2765	117	20	)	)	PUNCT
iajs-2765	117	21	=	=	SYM
iajs-2765	118	1	−2	−2	NOUN
iajs-2765	118	2	−7	−7	NOUN
iajs-2765	118	3	=	=	NOUN
iajs-2765	118	4	0.285	0.285	NUM
iajs-2765	118	5	.	.	PUNCT
iajs-2765	119	1	ơ2	ơ2	NOUN
iajs-2765	119	2	=	=	NOUN
iajs-2765	119	3	1	1	NUM
iajs-2765	119	4	−	−	NUM
iajs-2765	119	5	ơ1	ơ1	NOUN
iajs-2765	119	6	=	=	SYM
iajs-2765	119	7	1	1	NUM
iajs-2765	119	8	−	−	PROPN
iajs-2765	119	9	0.285	0.285	NUM
iajs-2765	119	10	=	=	SYM
iajs-2765	119	11	0.715	0.715	NUM
iajs-2765	119	12	.	.	PUNCT
iajs-2765	120	1	𝑞1	𝑞1	PROPN
iajs-2765	120	2	=	=	PUNCT
iajs-2765	120	3	ǥ22	ǥ22	VERB
iajs-2765	120	4	−	−	PROPN
iajs-2765	120	5	ǥ21	ǥ21	PROPN
iajs-2765	120	6	(	(	PUNCT
iajs-2765	120	7	ǥ11	ǥ11	NOUN
iajs-2765	120	8	+	+	CCONJ
iajs-2765	120	9	ǥ22	ǥ22	PROPN
iajs-2765	120	10	)	)	PUNCT
iajs-2765	120	11	−	−	PROPN
iajs-2765	121	1	(	(	PUNCT
iajs-2765	121	2	ǥ12	ǥ12	NOUN
iajs-2765	121	3	+	+	CCONJ
iajs-2765	121	4	ǥ21	ǥ21	PROPN
iajs-2765	121	5	)	)	PUNCT
iajs-2765	121	6	=	=	SYM
iajs-2765	121	7	6	6	NUM
iajs-2765	121	8	−	−	NOUN
iajs-2765	121	9	12	12	NUM
iajs-2765	121	10	(	(	PUNCT
iajs-2765	121	11	7	7	NUM
iajs-2765	121	12	+	+	CCONJ
iajs-2765	121	13	6	6	NUM
iajs-2765	121	14	)	)	PUNCT
iajs-2765	121	15	−	−	PROPN
iajs-2765	121	16	(	(	PUNCT
iajs-2765	121	17	8	8	NUM
iajs-2765	121	18	+	+	SYM
iajs-2765	121	19	12	12	NUM
iajs-2765	121	20	)	)	PUNCT
iajs-2765	121	21	=	=	NOUN
iajs-2765	121	22	−6	−6	NOUN
iajs-2765	121	23	−7	−7	NOUN
iajs-2765	121	24	=	=	NOUN
iajs-2765	121	25	0.857	0.857	NUM
iajs-2765	121	26	.	.	PUNCT
iajs-2765	122	1	ᶉ2	ᶉ2	NOUN
iajs-2765	122	2	=	=	SYM
iajs-2765	122	3	1	1	NUM
iajs-2765	122	4	−	−	PROPN
iajs-2765	122	5	ᶉ1	ᶉ1	NOUN
iajs-2765	122	6	=	=	NOUN
iajs-2765	122	7	1	1	NUM
iajs-2765	122	8	−	−	NOUN
iajs-2765	122	9	0.857	0.857	NUM
iajs-2765	122	10	=	=	SYM
iajs-2765	122	11	0.143	0.143	NUM
iajs-2765	122	12	.	.	PUNCT
iajs-2765	122	13	strategy	strategy	NOUN
iajs-2765	122	14	for	for	ADP
iajs-2765	122	15	player	player	NOUN
iajs-2765	122	16	𝛿	𝛿	X
iajs-2765	122	17	=	=	PUNCT
iajs-2765	122	18	(	(	PUNCT
iajs-2765	122	19	ơ1	ơ1	NOUN
iajs-2765	122	20	,	,	PUNCT
iajs-2765	122	21	ơ2	ơ2	NOUN
iajs-2765	122	22	)	)	PUNCT
iajs-2765	122	23	=	=	PUNCT
iajs-2765	122	24	(	(	PUNCT
iajs-2765	122	25	0.285	0.285	NUM
iajs-2765	122	26	,	,	PUNCT
iajs-2765	122	27	0.715	0.715	NUM
iajs-2765	122	28	)	)	PUNCT
iajs-2765	122	29	strategy	strategy	NOUN
iajs-2765	122	30	for	for	ADP
iajs-2765	122	31	player	player	NOUN
iajs-2765	122	32	ƴ	ƴ	PROPN
iajs-2765	122	33	=	=	PUNCT
iajs-2765	122	34	(	(	PUNCT
iajs-2765	122	35	ᶉ1	ᶉ1	PROPN
iajs-2765	122	36	,	,	PUNCT
iajs-2765	122	37	ᶉ2	ᶉ2	NOUN
iajs-2765	122	38	)	)	PUNCT
iajs-2765	122	39	=	=	SYM
iajs-2765	122	40	(	(	PUNCT
iajs-2765	122	41	0.857	0.857	NUM
iajs-2765	122	42	,	,	PUNCT
iajs-2765	122	43	0.143	0.143	NUM
iajs-2765	122	44	)	)	PUNCT
iajs-2765	122	45	ibn	ibn	PROPN
iajs-2765	122	46	al	al	PROPN
iajs-2765	122	47	-	-	PUNCT
iajs-2765	122	48	haitham	haitham	PROPN
iajs-2765	122	49	jour	jour	X
iajs-2765	122	50	.	.	PROPN
iajs-2765	123	1	for	for	ADP
iajs-2765	123	2	pure	pure	ADJ
iajs-2765	123	3	&	&	CCONJ
iajs-2765	123	4	appl	appl	PROPN
iajs-2765	123	5	.	.	PUNCT
iajs-2765	124	1	sci	sci	PROPN
iajs-2765	124	2	.	.	PROPN
iajs-2765	125	1	53	53	NUM
iajs-2765	125	2	(	(	PUNCT
iajs-2765	125	3	2)2022	2)2022	NOUN
iajs-2765	125	4	66	66	NUM
iajs-2765	125	5	value	value	NOUN
iajs-2765	125	6	of	of	ADP
iajs-2765	125	7	the	the	DET
iajs-2765	125	8	game	game	NOUN
iajs-2765	125	9	ℂ	ℂ	PROPN
iajs-2765	125	10	=	=	PUNCT
iajs-2765	125	11	ǥ11∗ǥ22−ǥ12∗ǥ21	ǥ11∗ǥ22−ǥ12∗ǥ21	PROPN
iajs-2765	125	12	(	(	PUNCT
iajs-2765	125	13	ǥ11+ǥ22)−(ǥ12+𝑎ǥ21	ǥ11+ǥ22)−(ǥ12+𝑎ǥ21	PROPN
iajs-2765	125	14	)	)	PUNCT
iajs-2765	125	15	=	=	PUNCT
iajs-2765	125	16	(	(	PUNCT
iajs-2765	125	17	7∗6)−(8∗12	7∗6)−(8∗12	NUM
iajs-2765	125	18	)	)	PUNCT
iajs-2765	125	19	(	(	PUNCT
iajs-2765	125	20	7	7	NUM
iajs-2765	125	21	+	+	NOUN
iajs-2765	125	22	6)−(8	6)−(8	NUM
iajs-2765	125	23	+	+	NOUN
iajs-2765	125	24	12	12	NUM
iajs-2765	125	25	)	)	PUNCT
iajs-2765	125	26	=	=	PUNCT
iajs-2765	126	1	−	−	PROPN
iajs-2765	126	2	54	54	NUM
iajs-2765	127	1	−	−	NOUN
iajs-2765	127	2	7	7	NUM
iajs-2765	127	3	=	=	SYM
iajs-2765	127	4	7.714	7.714	NUM
iajs-2765	127	5	.	.	PUNCT
iajs-2765	128	1	consider	consider	VERB
iajs-2765	128	2	the	the	DET
iajs-2765	128	3	following	follow	VERB
iajs-2765	128	4	fgp	fgp	ADJ
iajs-2765	128	5	:	:	PUNCT
iajs-2765	128	6	ƴ	ƴ	PROPN
iajs-2765	128	7	𝛿	𝛿	X
iajs-2765	128	8	(	(	PUNCT
iajs-2765	128	9	(	(	PUNCT
iajs-2765	128	10	1,5,0.7,1.3	1,5,0.7,1.3	NUM
iajs-2765	128	11	)	)	PUNCT
iajs-2765	128	12	(	(	PUNCT
iajs-2765	128	13	11,15,0.7,1.3	11,15,0.7,1.3	NUM
iajs-2765	128	14	)	)	PUNCT
iajs-2765	128	15	(	(	PUNCT
iajs-2765	128	16	3,7,0.7,1.3	3,7,0.7,1.3	NUM
iajs-2765	128	17	)	)	PUNCT
iajs-2765	128	18	(	(	PUNCT
iajs-2765	128	19	5,9,0.6,1.4	5,9,0.6,1.4	NOUN
iajs-2765	128	20	)	)	PUNCT
iajs-2765	128	21	(	(	PUNCT
iajs-2765	128	22	12,16,0.6,1.4	12,16,0.6,1.4	NUM
iajs-2765	128	23	)	)	PUNCT
iajs-2765	128	24	(	(	PUNCT
iajs-2765	128	25	6,10,0.6,1.4	6,10,0.6,1.4	NOUN
iajs-2765	128	26	)	)	PUNCT
iajs-2765	128	27	(	(	PUNCT
iajs-2765	128	28	10,14,0.8,1.2	10,14,0.8,1.2	NUM
iajs-2765	128	29	)	)	PUNCT
iajs-2765	128	30	(	(	PUNCT
iajs-2765	128	31	14,18,0.8,1.2	14,18,0.8,1.2	NUM
iajs-2765	128	32	)	)	PUNCT
iajs-2765	128	33	(	(	PUNCT
iajs-2765	128	34	4,8,0.8,1.2	4,8,0.8,1.2	NOUN
iajs-2765	128	35	)	)	PUNCT
iajs-2765	128	36	)	)	PUNCT
iajs-2765	129	1	step1	step1	PROPN
iajs-2765	129	2	.	.	PUNCT
iajs-2765	130	1	we	we	PRON
iajs-2765	130	2	obtain	obtain	VERB
iajs-2765	130	3	the	the	DET
iajs-2765	130	4	values	value	NOUN
iajs-2765	130	5	of	of	ADP
iajs-2765	130	6	ʈ	ʈ	PROPN
iajs-2765	130	7	(	(	PUNCT
iajs-2765	130	8	đ	đ	NOUN
iajs-2765	130	9	)	)	PUNCT
iajs-2765	130	10	for	for	ADP
iajs-2765	130	11	the	the	DET
iajs-2765	130	12	given	give	VERB
iajs-2765	130	13	fgp	fgp	NOUN
iajs-2765	130	14	and	and	CCONJ
iajs-2765	130	15	transform	transform	VERB
iajs-2765	130	16	it	it	PRON
iajs-2765	130	17	to	to	ADP
iajs-2765	130	18	a	a	DET
iajs-2765	130	19	cv	cv	PROPN
iajs-2765	130	20	problem	problem	NOUN
iajs-2765	130	21	,	,	PUNCT
iajs-2765	130	22	as	as	SCONJ
iajs-2765	130	23	shown	show	VERB
iajs-2765	130	24	in	in	ADP
iajs-2765	130	25	the	the	DET
iajs-2765	130	26	table	table	NOUN
iajs-2765	130	27	below	below	ADV
iajs-2765	130	28	.	.	PUNCT
iajs-2765	131	1	table	table	NOUN
iajs-2765	131	2	2	2	NUM
iajs-2765	131	3	.	.	PUNCT
iajs-2765	132	1	the	the	DET
iajs-2765	132	2	tfn	tfn	NOUN
iajs-2765	132	3	problem	problem	NOUN
iajs-2765	132	4	is	be	AUX
iajs-2765	132	5	transformed	transform	VERB
iajs-2765	132	6	cv	cv	PROPN
iajs-2765	132	7	in	in	ADP
iajs-2765	132	8	the	the	DET
iajs-2765	132	9	example	example	NOUN
iajs-2765	132	10	.	.	PUNCT
iajs-2765	133	1	ǥ11	ǥ11	NOUN
iajs-2765	133	2	=	=	SYM
iajs-2765	133	3	(	(	PUNCT
iajs-2765	133	4	1,5,0.7,1.3	1,5,0.7,1.3	PROPN
iajs-2765	133	5	)	)	PUNCT
iajs-2765	133	6	ʈ	ʈ	PROPN
iajs-2765	133	7	(	(	PUNCT
iajs-2765	133	8	ǥ11	ǥ11	NOUN
iajs-2765	133	9	)	)	PUNCT
iajs-2765	133	10	=	=	PUNCT
iajs-2765	134	1	5.5125	5.5125	NUM
iajs-2765	134	2	ǥ12	ǥ12	NOUN
iajs-2765	134	3	=	=	SYM
iajs-2765	134	4	(	(	PUNCT
iajs-2765	134	5	11,15,0.7,1.3	11,15,0.7,1.3	NUM
iajs-2765	134	6	)	)	PUNCT
iajs-2765	134	7	ʈ	ʈ	PROPN
iajs-2765	134	8	(	(	PUNCT
iajs-2765	134	9	ǥ12	ǥ12	PROPN
iajs-2765	134	10	)	)	PUNCT
iajs-2765	134	11	=	=	SYM
iajs-2765	134	12	23.0125	23.0125	NUM
iajs-2765	134	13	ǥ13	ǥ13	NOUN
iajs-2765	134	14	=	=	SYM
iajs-2765	134	15	(	(	PUNCT
iajs-2765	134	16	3,7,0.7,1.3	3,7,0.7,1.3	PROPN
iajs-2765	134	17	)	)	PUNCT
iajs-2765	134	18	ʈ	ʈ	PROPN
iajs-2765	134	19	(	(	PUNCT
iajs-2765	134	20	ǥ13	ǥ13	NOUN
iajs-2765	134	21	)	)	PUNCT
iajs-2765	134	22	=	=	NOUN
iajs-2765	135	1	9.0125	9.0125	NUM
iajs-2765	135	2	ǥ21	ǥ21	NOUN
iajs-2765	135	3	=	=	SYM
iajs-2765	135	4	(	(	PUNCT
iajs-2765	135	5	5,9,0.6,1.4	5,9,0.6,1.4	NOUN
iajs-2765	135	6	)	)	PUNCT
iajs-2765	135	7	ʈ	ʈ	PROPN
iajs-2765	135	8	(	(	PUNCT
iajs-2765	135	9	ǥ21	ǥ21	PROPN
iajs-2765	135	10	)	)	PUNCT
iajs-2765	135	11	=	=	SYM
iajs-2765	135	12	12.6000	12.6000	NUM
iajs-2765	135	13	ǥ22	ǥ22	VERB
iajs-2765	135	14	=	=	SYM
iajs-2765	135	15	(	(	PUNCT
iajs-2765	135	16	12,16,0.6,1.4	12,16,0.6,1.4	NUM
iajs-2765	135	17	)	)	PUNCT
iajs-2765	135	18	ʈ	ʈ	PROPN
iajs-2765	135	19	(	(	PUNCT
iajs-2765	135	20	ǥ22	ǥ22	PROPN
iajs-2765	135	21	)	)	PUNCT
iajs-2765	135	22	=	=	PUNCT
iajs-2765	135	23	24.8500	24.8500	NUM
iajs-2765	135	24	ǥ23	ǥ23	PROPN
iajs-2765	135	25	=	=	SYM
iajs-2765	135	26	(	(	PUNCT
iajs-2765	135	27	6,10,0.6,1.4	6,10,0.6,1.4	NOUN
iajs-2765	135	28	)	)	PUNCT
iajs-2765	135	29	ʈ	ʈ	PROPN
iajs-2765	135	30	(	(	PUNCT
iajs-2765	135	31	ǥ23	ǥ23	ADJ
iajs-2765	135	32	)	)	PUNCT
iajs-2765	135	33	=	=	SYM
iajs-2765	135	34	14.3500	14.3500	NUM
iajs-2765	135	35	ǥ31	ǥ31	NOUN
iajs-2765	135	36	=	=	SYM
iajs-2765	135	37	(	(	PUNCT
iajs-2765	135	38	10,14,0.8,1.2	10,14,0.8,1.2	NUM
iajs-2765	135	39	)	)	PUNCT
iajs-2765	135	40	ʈ	ʈ	PROPN
iajs-2765	135	41	(	(	PUNCT
iajs-2765	135	42	ǥ31	ǥ31	PROPN
iajs-2765	135	43	)	)	PUNCT
iajs-2765	135	44	=	=	SYM
iajs-2765	135	45	21.1750	21.1750	NUM
iajs-2765	135	46	ǥ32	ǥ32	NOUN
iajs-2765	135	47	=	=	SYM
iajs-2765	135	48	(	(	PUNCT
iajs-2765	135	49	14,18,0.8,1.2	14,18,0.8,1.2	NUM
iajs-2765	135	50	)	)	PUNCT
iajs-2765	135	51	ʈ	ʈ	PROPN
iajs-2765	135	52	(	(	PUNCT
iajs-2765	135	53	ǥ32	ǥ32	PROPN
iajs-2765	135	54	)	)	PUNCT
iajs-2765	135	55	=	=	NOUN
iajs-2765	135	56	28.1750	28.1750	NUM
iajs-2765	135	57	ǥ33	ǥ33	NOUN
iajs-2765	135	58	=	=	SYM
iajs-2765	135	59	(	(	PUNCT
iajs-2765	135	60	4,8,0.8,1.2	4,8,0.8,1.2	NOUN
iajs-2765	135	61	)	)	PUNCT
iajs-2765	135	62	ʈ	ʈ	PROPN
iajs-2765	135	63	(	(	PUNCT
iajs-2765	135	64	ǥ33	ǥ33	PROPN
iajs-2765	135	65	)	)	PUNCT
iajs-2765	135	66	=	=	NOUN
iajs-2765	135	67	10.6750	10.6750	NUM
iajs-2765	135	68	step	step	NOUN
iajs-2765	135	69	2	2	NUM
iajs-2765	135	70	.	.	PUNCT
iajs-2765	136	1	the	the	DET
iajs-2765	136	2	given	give	VERB
iajs-2765	136	3	fgp	fgp	NOUN
iajs-2765	136	4	is	be	AUX
iajs-2765	136	5	reduced	reduce	VERB
iajs-2765	136	6	in	in	ADP
iajs-2765	136	7	the	the	DET
iajs-2765	136	8	following	follow	VERB
iajs-2765	136	9	payoff	payoff	NOUN
iajs-2765	136	10	matrix	matrix	NOUN
iajs-2765	136	11	:	:	PUNCT
iajs-2765	136	12	ƴ	ƴ	PROPN
iajs-2765	136	13	𝛿	𝛿	X
iajs-2765	136	14	(	(	PUNCT
iajs-2765	136	15	5.5125	5.5125	NUM
iajs-2765	136	16	23.0125	23.0125	NUM
iajs-2765	136	17	9.0125	9.0125	NUM
iajs-2765	136	18	12.6000	12.6000	NUM
iajs-2765	136	19	24.8500	24.8500	NUM
iajs-2765	136	20	14.3500	14.3500	NUM
iajs-2765	136	21	21.1750	21.1750	NUM
iajs-2765	136	22	28.1750	28.1750	NUM
iajs-2765	136	23	10.6750	10.6750	NUM
iajs-2765	136	24	)	)	PUNCT
iajs-2765	136	25	the	the	DET
iajs-2765	136	26	minimum	minimum	NOUN
iajs-2765	136	27	in	in	ADP
iajs-2765	136	28	the	the	DET
iajs-2765	136	29	first	first	ADJ
iajs-2765	136	30	row	row	NOUN
iajs-2765	136	31	=	=	NOUN
iajs-2765	136	32	5.5125	5.5125	NUM
iajs-2765	136	33	the	the	DET
iajs-2765	136	34	minimum	minimum	NOUN
iajs-2765	136	35	in	in	ADP
iajs-2765	136	36	the	the	DET
iajs-2765	136	37	second	second	ADJ
iajs-2765	136	38	row	row	NOUN
iajs-2765	136	39	=	=	SYM
iajs-2765	136	40	12.6000	12.6000	NUM
iajs-2765	136	41	the	the	DET
iajs-2765	136	42	minimum	minimum	NOUN
iajs-2765	136	43	in	in	ADP
iajs-2765	136	44	the	the	DET
iajs-2765	136	45	third	third	ADJ
iajs-2765	136	46	row	row	NOUN
iajs-2765	136	47	=	=	NOUN
iajs-2765	136	48	10.6750	10.6750	NUM
iajs-2765	136	49	the	the	DET
iajs-2765	136	50	maximum	maximum	NOUN
iajs-2765	136	51	in	in	ADP
iajs-2765	136	52	the	the	DET
iajs-2765	136	53	first	first	ADJ
iajs-2765	136	54	column	column	NOUN
iajs-2765	136	55	=	=	PUNCT
iajs-2765	136	56	21.1750	21.1750	NUM
iajs-2765	136	57	the	the	DET
iajs-2765	136	58	maximum	maximum	NOUN
iajs-2765	136	59	in	in	ADP
iajs-2765	136	60	the	the	DET
iajs-2765	136	61	second	second	ADJ
iajs-2765	136	62	column	column	NOUN
iajs-2765	136	63	=	=	NOUN
iajs-2765	136	64	28.1750	28.1750	NUM
iajs-2765	136	65	ibn	ibn	PROPN
iajs-2765	136	66	al	al	PROPN
iajs-2765	136	67	-	-	PUNCT
iajs-2765	136	68	haitham	haitham	PROPN
iajs-2765	136	69	jour	jour	X
iajs-2765	136	70	.	.	PROPN
iajs-2765	137	1	for	for	ADP
iajs-2765	137	2	pure	pure	ADJ
iajs-2765	137	3	&	&	CCONJ
iajs-2765	137	4	appl	appl	PROPN
iajs-2765	137	5	.	.	PUNCT
iajs-2765	138	1	sci	sci	PROPN
iajs-2765	138	2	.	.	PROPN
iajs-2765	139	1	53	53	NUM
iajs-2765	139	2	(	(	PUNCT
iajs-2765	139	3	2)2022	2)2022	NOUN
iajs-2765	139	4	67	67	NUM
iajs-2765	139	5	the	the	DET
iajs-2765	139	6	maximum	maximum	NOUN
iajs-2765	139	7	in	in	ADP
iajs-2765	139	8	the	the	DET
iajs-2765	139	9	third	third	ADJ
iajs-2765	139	10	column	column	NOUN
iajs-2765	139	11	=	=	NOUN
iajs-2765	139	12	14.3500	14.3500	NUM
iajs-2765	139	13	maximum	maximum	ADJ
iajs-2765	139	14	(	(	PUNCT
iajs-2765	139	15	minimum	minimum	NOUN
iajs-2765	139	16	)	)	PUNCT
iajs-2765	139	17	=	=	SYM
iajs-2765	139	18	12.6000	12.6000	NUM
iajs-2765	139	19	but	but	CCONJ
iajs-2765	139	20	minimum	minimum	ADJ
iajs-2765	139	21	(	(	PUNCT
iajs-2765	139	22	maximum	maximum	ADJ
iajs-2765	139	23	)	)	PUNCT
iajs-2765	139	24	=	=	SYM
iajs-2765	139	25	14.3500	14.3500	NUM
iajs-2765	139	26	here	here	ADV
iajs-2765	139	27	maximum	maximum	ADJ
iajs-2765	139	28	(	(	PUNCT
iajs-2765	139	29	minimum	minimum	NOUN
iajs-2765	139	30	)	)	PUNCT
iajs-2765	139	31	≠	≠	PROPN
iajs-2765	139	32	minimum	minimum	NOUN
iajs-2765	139	33	(	(	PUNCT
iajs-2765	139	34	maximum	maximum	ADJ
iajs-2765	139	35	)	)	PUNCT
iajs-2765	139	36	.	.	PUNCT
iajs-2765	140	1	it	it	PRON
iajs-2765	140	2	has	have	VERB
iajs-2765	140	3	no	no	DET
iajs-2765	140	4	sp	sp	NOUN
iajs-2765	140	5	.	.	PUNCT
iajs-2765	141	1	the	the	DET
iajs-2765	141	2	dominance	dominance	NOUN
iajs-2765	141	3	approach	approach	NOUN
iajs-2765	141	4	is	be	AUX
iajs-2765	141	5	used	use	VERB
iajs-2765	141	6	.	.	PUNCT
iajs-2765	142	1	the	the	DET
iajs-2765	142	2	second	second	ADJ
iajs-2765	142	3	and	and	CCONJ
iajs-2765	142	4	third	third	ADJ
iajs-2765	142	5	rows	row	NOUN
iajs-2765	142	6	clearly	clearly	ADV
iajs-2765	142	7	dominate	dominate	VERB
iajs-2765	142	8	the	the	DET
iajs-2765	142	9	first	first	ADJ
iajs-2765	142	10	row	row	NOUN
iajs-2765	142	11	,	,	PUNCT
iajs-2765	142	12	as	as	SCONJ
iajs-2765	142	13	all	all	PRON
iajs-2765	142	14	of	of	ADP
iajs-2765	142	15	the	the	DET
iajs-2765	142	16	elements	element	NOUN
iajs-2765	142	17	in	in	ADP
iajs-2765	142	18	the	the	DET
iajs-2765	142	19	first	first	ADJ
iajs-2765	142	20	row	row	NOUN
iajs-2765	142	21	are	be	AUX
iajs-2765	142	22	lower	low	ADJ
iajs-2765	142	23	than	than	ADP
iajs-2765	142	24	those	those	PRON
iajs-2765	142	25	in	in	ADP
iajs-2765	142	26	the	the	DET
iajs-2765	142	27	second	second	ADJ
iajs-2765	142	28	and	and	CCONJ
iajs-2765	142	29	third	third	ADJ
iajs-2765	142	30	rows	row	NOUN
iajs-2765	142	31	.	.	PUNCT
iajs-2765	143	1	as	as	ADP
iajs-2765	143	2	a	a	DET
iajs-2765	143	3	result	result	NOUN
iajs-2765	143	4	of	of	ADP
iajs-2765	143	5	removing	remove	VERB
iajs-2765	143	6	the	the	DET
iajs-2765	143	7	first	first	ADJ
iajs-2765	143	8	row	row	NOUN
iajs-2765	143	9	,	,	PUNCT
iajs-2765	143	10	we	we	PRON
iajs-2765	143	11	get	get	VERB
iajs-2765	143	12	ƴ	ƴ	ADP
iajs-2765	143	13	𝛿	𝛿	X
iajs-2765	143	14	(	(	PUNCT
iajs-2765	143	15	12.6000	12.6000	NUM
iajs-2765	143	16	24.8500	24.8500	NUM
iajs-2765	143	17	14.3500	14.3500	NUM
iajs-2765	143	18	21.1750	21.1750	NUM
iajs-2765	143	19	28.1750	28.1750	NUM
iajs-2765	143	20	10.6750	10.6750	NUM
iajs-2765	143	21	)	)	PUNCT
iajs-2765	143	22	since	since	SCONJ
iajs-2765	143	23	all	all	PRON
iajs-2765	143	24	of	of	ADP
iajs-2765	143	25	the	the	DET
iajs-2765	143	26	elements	element	NOUN
iajs-2765	143	27	in	in	ADP
iajs-2765	143	28	the	the	DET
iajs-2765	143	29	second	second	ADJ
iajs-2765	143	30	column	column	NOUN
iajs-2765	143	31	are	be	AUX
iajs-2765	143	32	greater	great	ADJ
iajs-2765	143	33	than	than	ADP
iajs-2765	143	34	those	those	PRON
iajs-2765	143	35	in	in	ADP
iajs-2765	143	36	the	the	DET
iajs-2765	143	37	first	first	ADJ
iajs-2765	143	38	and	and	CCONJ
iajs-2765	143	39	third	third	ADJ
iajs-2765	143	40	columns	column	NOUN
iajs-2765	143	41	,	,	PUNCT
iajs-2765	143	42	the	the	DET
iajs-2765	143	43	second	second	ADJ
iajs-2765	143	44	column	column	NOUN
iajs-2765	143	45	is	be	AUX
iajs-2765	143	46	once	once	ADV
iajs-2765	143	47	again	again	ADV
iajs-2765	143	48	dominated	dominate	VERB
iajs-2765	143	49	by	by	ADP
iajs-2765	143	50	the	the	DET
iajs-2765	143	51	first	first	ADJ
iajs-2765	143	52	and	and	CCONJ
iajs-2765	143	53	third	third	ADJ
iajs-2765	143	54	columns	column	NOUN
iajs-2765	143	55	.	.	PUNCT
iajs-2765	144	1	as	as	ADP
iajs-2765	144	2	a	a	DET
iajs-2765	144	3	consequence	consequence	NOUN
iajs-2765	144	4	of	of	ADP
iajs-2765	144	5	removing	remove	VERB
iajs-2765	144	6	the	the	DET
iajs-2765	144	7	second	second	ADJ
iajs-2765	144	8	column	column	NOUN
iajs-2765	144	9	,	,	PUNCT
iajs-2765	144	10	we	we	PRON
iajs-2765	144	11	get	get	VERB
iajs-2765	144	12	ƴ	ƴ	ADP
iajs-2765	144	13	𝛿	𝛿	X
iajs-2765	144	14	(	(	PUNCT
iajs-2765	144	15	12.6000	12.6000	NUM
iajs-2765	144	16	14.3500	14.3500	NUM
iajs-2765	144	17	21.1750	21.1750	NUM
iajs-2765	144	18	10.6750	10.6750	NUM
iajs-2765	144	19	)	)	PUNCT
iajs-2765	144	20	to	to	PART
iajs-2765	144	21	determine	determine	VERB
iajs-2765	144	22	the	the	DET
iajs-2765	144	23	best	well	ADV
iajs-2765	144	24	-	-	PUNCT
iajs-2765	144	25	mixed	mix	VERB
iajs-2765	144	26	strategy	strategy	NOUN
iajs-2765	144	27	and	and	CCONJ
iajs-2765	144	28	game	game	NOUN
iajs-2765	144	29	value	value	NOUN
iajs-2765	144	30	:	:	PUNCT
iajs-2765	144	31	now	now	ADV
iajs-2765	144	32	,	,	PUNCT
iajs-2765	144	33	ǥ11	ǥ11	NOUN
iajs-2765	144	34	=	=	SYM
iajs-2765	144	35	12.6000	12.6000	NUM
iajs-2765	144	36	,	,	PUNCT
iajs-2765	144	37	ǥ12	ǥ12	NOUN
iajs-2765	144	38	=	=	SYM
iajs-2765	144	39	14.3500	14.3500	NUM
iajs-2765	144	40	,	,	PUNCT
iajs-2765	144	41	ǥ21	ǥ21	X
iajs-2765	144	42	=	=	SYM
iajs-2765	144	43	21.1750	21.1750	NUM
iajs-2765	144	44	,	,	PUNCT
iajs-2765	144	45	ǥ22	ǥ22	PROPN
iajs-2765	144	46	=	=	PROPN
iajs-2765	144	47	10.6750	10.6750	NUM
iajs-2765	144	48	.	.	PUNCT
iajs-2765	145	1	ơ1	ơ1	NOUN
iajs-2765	145	2	=	=	PRON
iajs-2765	145	3	ǥ22	ǥ22	VERB
iajs-2765	145	4	−	−	PROPN
iajs-2765	145	5	ǥ12	ǥ12	NOUN
iajs-2765	145	6	(	(	PUNCT
iajs-2765	145	7	ǥ11	ǥ11	NOUN
iajs-2765	145	8	+	+	CCONJ
iajs-2765	145	9	ǥ22	ǥ22	PROPN
iajs-2765	145	10	)	)	PUNCT
iajs-2765	145	11	−	−	PROPN
iajs-2765	146	1	(	(	PUNCT
iajs-2765	146	2	ǥ12	ǥ12	NOUN
iajs-2765	146	3	+	+	CCONJ
iajs-2765	146	4	ǥ21	ǥ21	PROPN
iajs-2765	146	5	)	)	PUNCT
iajs-2765	146	6	=	=	SYM
iajs-2765	146	7	10.6750	10.6750	NUM
iajs-2765	147	1	−	−	NOUN
iajs-2765	147	2	14.3500	14.3500	NUM
iajs-2765	147	3	(	(	PUNCT
iajs-2765	147	4	12.6000	12.6000	NUM
iajs-2765	147	5	+	+	NUM
iajs-2765	147	6	10.6750	10.6750	NUM
iajs-2765	147	7	)	)	PUNCT
iajs-2765	147	8	−	−	PROPN
iajs-2765	147	9	(	(	PUNCT
iajs-2765	147	10	14.3500	14.3500	NUM
iajs-2765	147	11	+	+	NUM
iajs-2765	147	12	21.1750	21.1750	NUM
iajs-2765	147	13	)	)	PUNCT
iajs-2765	147	14	=	=	SYM
iajs-2765	147	15	−3.6750	−3.6750	NUM
iajs-2765	147	16	−12.2500	−12.2500	PROPN
iajs-2765	147	17	=	=	PUNCT
iajs-2765	147	18	0.3000	0.3000	NUM
iajs-2765	147	19	.	.	PUNCT
iajs-2765	148	1	ơ2	ơ2	NOUN
iajs-2765	148	2	=	=	NOUN
iajs-2765	148	3	1	1	NUM
iajs-2765	148	4	−	−	NUM
iajs-2765	148	5	ơ1	ơ1	NOUN
iajs-2765	148	6	=	=	SYM
iajs-2765	148	7	1	1	NUM
iajs-2765	148	8	−	−	NUM
iajs-2765	148	9	0.3000	0.3000	NUM
iajs-2765	148	10	=	=	SYM
iajs-2765	148	11	0.7000	0.7000	NUM
iajs-2765	148	12	.	.	PUNCT
iajs-2765	149	1	ᶉ1	ᶉ1	PROPN
iajs-2765	149	2	=	=	PUNCT
iajs-2765	149	3	ǥ22	ǥ22	VERB
iajs-2765	149	4	−	−	PROPN
iajs-2765	149	5	ǥ21	ǥ21	PROPN
iajs-2765	149	6	(	(	PUNCT
iajs-2765	149	7	ǥ11	ǥ11	NOUN
iajs-2765	149	8	+	+	CCONJ
iajs-2765	149	9	ǥ22	ǥ22	PROPN
iajs-2765	149	10	)	)	PUNCT
iajs-2765	149	11	−	−	PROPN
iajs-2765	150	1	(	(	PUNCT
iajs-2765	150	2	ǥ12	ǥ12	NOUN
iajs-2765	150	3	+	+	CCONJ
iajs-2765	150	4	ǥ21	ǥ21	PROPN
iajs-2765	150	5	)	)	PUNCT
iajs-2765	150	6	=	=	SYM
iajs-2765	150	7	10.6750	10.6750	NUM
iajs-2765	150	8	−	−	NOUN
iajs-2765	150	9	21.1750	21.1750	NUM
iajs-2765	150	10	(	(	PUNCT
iajs-2765	150	11	12.6000	12.6000	NUM
iajs-2765	150	12	+	+	NUM
iajs-2765	150	13	10.6750	10.6750	NUM
iajs-2765	150	14	)	)	PUNCT
iajs-2765	150	15	−	−	PROPN
iajs-2765	150	16	(	(	PUNCT
iajs-2765	150	17	14.3500	14.3500	NUM
iajs-2765	150	18	+	+	SYM
iajs-2765	150	19	21.1750	21.1750	NUM
iajs-2765	150	20	)	)	PUNCT
iajs-2765	150	21	=	=	SYM
iajs-2765	151	1	−10.5000	−10.5000	PUNCT
iajs-2765	151	2	−12.2500	−12.2500	PROPN
iajs-2765	151	3	=	=	SYM
iajs-2765	152	1	0.8571	0.8571	NUM
iajs-2765	152	2	.	.	PUNCT
iajs-2765	153	1	ᶉ2	ᶉ2	NOUN
iajs-2765	153	2	=	=	SYM
iajs-2765	153	3	1	1	NUM
iajs-2765	153	4	−	−	PROPN
iajs-2765	153	5	ᶉ1	ᶉ1	NOUN
iajs-2765	153	6	=	=	NOUN
iajs-2765	153	7	1	1	NUM
iajs-2765	153	8	−	−	NUM
iajs-2765	153	9	0.8571	0.8571	NUM
iajs-2765	153	10	=	=	SYM
iajs-2765	153	11	0.1429	0.1429	NUM
iajs-2765	153	12	.	.	PUNCT
iajs-2765	153	13	strategy	strategy	NOUN
iajs-2765	153	14	for	for	ADP
iajs-2765	153	15	player	player	NOUN
iajs-2765	153	16	𝛿	𝛿	X
iajs-2765	153	17	=	=	PUNCT
iajs-2765	153	18	(	(	PUNCT
iajs-2765	153	19	ơ1	ơ1	NOUN
iajs-2765	153	20	,	,	PUNCT
iajs-2765	153	21	ơ2	ơ2	NOUN
iajs-2765	153	22	)	)	PUNCT
iajs-2765	153	23	=	=	PUNCT
iajs-2765	153	24	(	(	PUNCT
iajs-2765	153	25	0.3000	0.3000	NUM
iajs-2765	153	26	,	,	PUNCT
iajs-2765	153	27	0.7000	0.7000	NUM
iajs-2765	153	28	)	)	PUNCT
iajs-2765	153	29	strategy	strategy	NOUN
iajs-2765	153	30	for	for	ADP
iajs-2765	153	31	player	player	NOUN
iajs-2765	153	32	ƴ	ƴ	PROPN
iajs-2765	153	33	=	=	PUNCT
iajs-2765	153	34	(	(	PUNCT
iajs-2765	153	35	ᶉ1	ᶉ1	PROPN
iajs-2765	153	36	,	,	PUNCT
iajs-2765	153	37	ᶉ2	ᶉ2	NOUN
iajs-2765	153	38	)	)	PUNCT
iajs-2765	153	39	=	=	SYM
iajs-2765	153	40	(	(	PUNCT
iajs-2765	153	41	0.8571	0.8571	NUM
iajs-2765	153	42	,	,	PUNCT
iajs-2765	153	43	0.1429	0.1429	NUM
iajs-2765	153	44	)	)	PUNCT
iajs-2765	153	45	ibn	ibn	PROPN
iajs-2765	153	46	al	al	PROPN
iajs-2765	153	47	-	-	PUNCT
iajs-2765	153	48	haitham	haitham	PROPN
iajs-2765	153	49	jour	jour	X
iajs-2765	153	50	.	.	PROPN
iajs-2765	154	1	for	for	ADP
iajs-2765	154	2	pure	pure	ADJ
iajs-2765	154	3	&	&	CCONJ
iajs-2765	154	4	appl	appl	PROPN
iajs-2765	154	5	.	.	PUNCT
iajs-2765	155	1	sci	sci	PROPN
iajs-2765	155	2	.	.	PROPN
iajs-2765	156	1	53	53	NUM
iajs-2765	156	2	(	(	PUNCT
iajs-2765	156	3	2)2022	2)2022	VERB
iajs-2765	156	4	68	68	NUM
iajs-2765	156	5	value	value	NOUN
iajs-2765	156	6	of	of	ADP
iajs-2765	156	7	the	the	DET
iajs-2765	156	8	game	game	NOUN
iajs-2765	156	9	ℂ	ℂ	PROPN
iajs-2765	156	10	=	=	PUNCT
iajs-2765	156	11	ǥ11∗ǥ22−ǥ12∗ǥ21	ǥ11∗ǥ22−ǥ12∗ǥ21	PROPN
iajs-2765	156	12	(	(	PUNCT
iajs-2765	156	13	ǥ11+ǥ22)−(ǥ12+ǥ21	ǥ11+ǥ22)−(ǥ12+ǥ21	PROPN
iajs-2765	156	14	)	)	PUNCT
iajs-2765	156	15	=	=	PUNCT
iajs-2765	156	16	(	(	PUNCT
iajs-2765	156	17	12.6000∗10.6750)−(14.3500∗21.1750	12.6000∗10.6750)−(14.3500∗21.1750	NUM
iajs-2765	156	18	)	)	PUNCT
iajs-2765	156	19	(	(	PUNCT
iajs-2765	156	20	12.6000	12.6000	NUM
iajs-2765	156	21	+	+	NOUN
iajs-2765	156	22	10.6750)−(14.3500	10.6750)−(14.3500	NUM
iajs-2765	156	23	+	+	NOUN
iajs-2765	156	24	21.1750	21.1750	NUM
iajs-2765	156	25	)	)	PUNCT
iajs-2765	156	26	=	=	SYM
iajs-2765	156	27	−169.3562	−169.3562	PROPN
iajs-2765	156	28	−12.2500	−12.2500	PROPN
iajs-2765	156	29	=	=	SYM
iajs-2765	156	30	13.8250	13.8250	NUM
iajs-2765	156	31	.	.	PUNCT
iajs-2765	157	1	7	7	X
iajs-2765	157	2	.	.	X
iajs-2765	157	3	conclusion	conclusion	NOUN
iajs-2765	157	4	this	this	DET
iajs-2765	157	5	research	research	NOUN
iajs-2765	157	6	evaluates	evaluate	VERB
iajs-2765	157	7	the	the	DET
iajs-2765	157	8	effectiveness	effectiveness	NOUN
iajs-2765	157	9	of	of	ADP
iajs-2765	157	10	trapezoidal	trapezoidal	ADJ
iajs-2765	157	11	fuzzy	fuzzy	ADJ
iajs-2765	157	12	numbers	number	NOUN
iajs-2765	157	13	in	in	ADP
iajs-2765	157	14	stock	stock	NOUN
iajs-2765	157	15	market	market	NOUN
iajs-2765	157	16	prediction	prediction	NOUN
iajs-2765	157	17	using	use	VERB
iajs-2765	157	18	a	a	DET
iajs-2765	157	19	proposed	propose	VERB
iajs-2765	157	20	ranking	ranking	NOUN
iajs-2765	157	21	technique	technique	NOUN
iajs-2765	157	22	based	base	VERB
iajs-2765	157	23	on	on	ADP
iajs-2765	157	24	ranking	rank	VERB
iajs-2765	157	25	functions	function	NOUN
iajs-2765	157	26	.	.	PUNCT
iajs-2765	158	1	our	our	PRON
iajs-2765	158	2	model	model	NOUN
iajs-2765	158	3	can	can	AUX
iajs-2765	158	4	achieve	achieve	VERB
iajs-2765	158	5	a	a	DET
iajs-2765	158	6	more	more	ADV
iajs-2765	158	7	suitable	suitable	ADJ
iajs-2765	158	8	partition	partition	NOUN
iajs-2765	158	9	of	of	ADP
iajs-2765	158	10	the	the	DET
iajs-2765	158	11	universe	universe	NOUN
iajs-2765	158	12	by	by	ADP
iajs-2765	158	13	using	use	VERB
iajs-2765	158	14	trapezoidal	trapezoidal	ADJ
iajs-2765	158	15	fuzzy	fuzzy	ADJ
iajs-2765	158	16	numbers	number	NOUN
iajs-2765	158	17	,	,	PUNCT
iajs-2765	158	18	significantly	significantly	ADV
iajs-2765	158	19	boosting	boost	VERB
iajs-2765	158	20	forecasting	forecasting	NOUN
iajs-2765	158	21	results	result	NOUN
iajs-2765	158	22	.	.	PUNCT
iajs-2765	159	1	furthermore	furthermore	ADV
iajs-2765	159	2	,	,	PUNCT
iajs-2765	159	3	we	we	PRON
iajs-2765	159	4	struggle	struggle	VERB
iajs-2765	159	5	with	with	ADP
iajs-2765	159	6	games	game	NOUN
iajs-2765	159	7	of	of	ADP
iajs-2765	159	8	fuzzy	fuzzy	ADJ
iajs-2765	159	9	payoffs	payoff	NOUN
iajs-2765	159	10	issues	issue	NOUN
iajs-2765	159	11	when	when	SCONJ
iajs-2765	159	12	stock	stock	NOUN
iajs-2765	159	13	market	market	NOUN
iajs-2765	159	14	data	datum	NOUN
iajs-2765	159	15	is	be	AUX
iajs-2765	159	16	uncertain	uncertain	ADJ
iajs-2765	159	17	.	.	PUNCT
iajs-2765	160	1	we	we	PRON
iajs-2765	160	2	use	use	VERB
iajs-2765	160	3	the	the	DET
iajs-2765	160	4	trapezoidal	trapezoidal	ADJ
iajs-2765	160	5	membership	membership	NOUN
iajs-2765	160	6	function	function	VERB
iajs-2765	160	7	to	to	PART
iajs-2765	160	8	get	get	VERB
iajs-2765	160	9	the	the	DET
iajs-2765	160	10	best	good	ADJ
iajs-2765	160	11	gains	gain	NOUN
iajs-2765	160	12	,	,	PUNCT
iajs-2765	160	13	making	make	VERB
iajs-2765	160	14	the	the	DET
iajs-2765	160	15	data	datum	NOUN
iajs-2765	160	16	fuzzier	fuzzy	ADJ
iajs-2765	160	17	.	.	PUNCT
iajs-2765	161	1	the	the	DET
iajs-2765	161	2	currently	currently	ADV
iajs-2765	161	3	proposed	propose	VERB
iajs-2765	161	4	ranking	ranking	NOUN
iajs-2765	161	5	function	function	NOUN
iajs-2765	161	6	algorithm	algorithm	NOUN
iajs-2765	161	7	uses	use	VERB
iajs-2765	161	8	trapezoidal	trapezoidal	ADJ
iajs-2765	161	9	fuzzy	fuzzy	ADJ
iajs-2765	161	10	numbers	number	NOUN
iajs-2765	161	11	for	for	ADP
iajs-2765	161	12	the	the	DET
iajs-2765	161	13	decision	decision	NOUN
iajs-2765	161	14	-	-	PUNCT
iajs-2765	161	15	maker	maker	NOUN
iajs-2765	161	16	.	.	PUNCT
iajs-2765	162	1	we	we	PRON
iajs-2765	162	2	suggest	suggest	VERB
iajs-2765	162	3	an	an	DET
iajs-2765	162	4	arithmetic	arithmetic	ADJ
iajs-2765	162	5	oddment	oddment	NOUN
iajs-2765	162	6	strategy	strategy	NOUN
iajs-2765	162	7	to	to	PART
iajs-2765	162	8	solve	solve	VERB
iajs-2765	162	9	players	player	NOUN
iajs-2765	162	10	(	(	PUNCT
iajs-2765	162	11	fuzzy	fuzzy	ADJ
iajs-2765	162	12	game	game	NOUN
iajs-2765	162	13	problem	problem	NOUN
iajs-2765	162	14	strategies	strategy	NOUN
iajs-2765	162	15	,	,	PUNCT
iajs-2765	162	16	all	all	DET
iajs-2765	162	17	trapezoidal	trapezoidal	ADJ
iajs-2765	162	18	fuzzy	fuzzy	ADJ
iajs-2765	162	19	numbers	number	NOUN
iajs-2765	162	20	)	)	PUNCT
iajs-2765	162	21	are	be	AUX
iajs-2765	162	22	implemented	implement	VERB
iajs-2765	162	23	using	use	VERB
iajs-2765	162	24	the	the	DET
iajs-2765	162	25	ranking	ranking	NOUN
iajs-2765	162	26	of	of	ADP
iajs-2765	162	27	fuzzy	fuzzy	ADJ
iajs-2765	162	28	numbers	number	NOUN
iajs-2765	162	29	(	(	PUNCT
iajs-2765	162	30	fn	fn	NOUN
iajs-2765	162	31	)	)	PUNCT
iajs-2765	162	32	.	.	PUNCT
iajs-2765	163	1	references	reference	NOUN
iajs-2765	163	2	1	1	NUM
iajs-2765	163	3	.	.	PUNCT
iajs-2765	164	1	newmann	newmann	PROPN
iajs-2765	164	2	,	,	PUNCT
iajs-2765	164	3	j.	j.	PROPN
iajs-2765	164	4	;	;	PUNCT
iajs-2765	164	5	morgenstern	morgenstern	PROPN
iajs-2765	164	6	,	,	PUNCT
iajs-2765	164	7	o.	o.	PROPN
iajs-2765	164	8	theory	theory	NOUN
iajs-2765	164	9	of	of	ADP
iajs-2765	164	10	games	game	NOUN
iajs-2765	164	11	and	and	CCONJ
iajs-2765	164	12	economic	economic	ADJ
iajs-2765	164	13	behaviour	behaviour	NOUN
iajs-2765	164	14	,	,	PUNCT
iajs-2765	164	15	princeton	princeton	PROPN
iajs-2765	164	16	university	university	PROPN
iajs-2765	164	17	press	press	PROPN
iajs-2765	164	18	,	,	PUNCT
iajs-2765	164	19	princeton	princeton	PROPN
iajs-2765	164	20	,	,	PUNCT
iajs-2765	164	21	new	new	PROPN
iajs-2765	164	22	jersey	jersey	PROPN
iajs-2765	164	23	(	(	PUNCT
iajs-2765	164	24	1947	1947	NUM
iajs-2765	164	25	)	)	PUNCT
iajs-2765	164	26	.	.	PUNCT
iajs-2765	165	1	2	2	X
iajs-2765	165	2	.	.	X
iajs-2765	165	3	raju	raju	X
iajs-2765	165	4	,	,	PUNCT
iajs-2765	165	5	v.	v.	PROPN
iajs-2765	165	6	;	;	PUNCT
iajs-2765	165	7	vathana	vathana	ADJ
iajs-2765	165	8	,	,	PUNCT
iajs-2765	165	9	m.	m.	NOUN
iajs-2765	165	10	p.	p.	NOUN
iajs-2765	165	11	discourse	discourse	NOUN
iajs-2765	165	12	on	on	ADP
iajs-2765	165	13	fuzzy	fuzzy	ADJ
iajs-2765	165	14	game	game	NOUN
iajs-2765	165	15	problem	problem	NOUN
iajs-2765	165	16	in	in	ADP
iajs-2765	165	17	icosagonal	icosagonal	ADJ
iajs-2765	165	18	fuzzy	fuzzy	ADJ
iajs-2765	165	19	number	number	NOUN
iajs-2765	165	20	,	,	PUNCT
iajs-2765	165	21	international	international	ADJ
iajs-2765	165	22	journal	journal	NOUN
iajs-2765	165	23	of	of	ADP
iajs-2765	165	24	scientific	scientific	ADJ
iajs-2765	165	25	research	research	NOUN
iajs-2765	165	26	and	and	CCONJ
iajs-2765	165	27	review	review	NOUN
iajs-2765	165	28	.	.	PUNCT
iajs-2765	166	1	2019,8	2019,8	NUM
iajs-2765	166	2	,	,	PUNCT
iajs-2765	166	3	1384	1384	NUM
iajs-2765	166	4	–	–	PUNCT
iajs-2765	166	5	1390	1390	NUM
iajs-2765	166	6	.	.	PUNCT
iajs-2765	167	1	3	3	X
iajs-2765	167	2	.	.	X
iajs-2765	167	3	selvakumari	selvakumari	PROPN
iajs-2765	167	4	,	,	PUNCT
iajs-2765	167	5	k.	k.	PROPN
iajs-2765	167	6	;	;	PUNCT
iajs-2765	167	7	lavanya	lavanya	PROPN
iajs-2765	167	8	,	,	PUNCT
iajs-2765	167	9	s.	s.	PROPN
iajs-2765	167	10	on	on	ADP
iajs-2765	167	11	solving	solve	VERB
iajs-2765	167	12	fuzzy	fuzzy	ADJ
iajs-2765	167	13	game	game	NOUN
iajs-2765	167	14	problem	problem	NOUN
iajs-2765	167	15	using	use	VERB
iajs-2765	167	16	octagonal	octagonal	ADJ
iajs-2765	167	17	fuzzy	fuzzy	ADJ
iajs-2765	167	18	numbers	number	NOUN
iajs-2765	167	19	,	,	PUNCT
iajs-2765	167	20	annals	annal	NOUN
iajs-2765	167	21	of	of	ADP
iajs-2765	167	22	pure	pure	ADJ
iajs-2765	167	23	and	and	CCONJ
iajs-2765	167	24	applied	applied	ADJ
iajs-2765	167	25	mathematics	mathematic	NOUN
iajs-2765	167	26	.	.	PUNCT
iajs-2765	167	27	2014	2014	NUM
iajs-2765	167	28	,	,	PUNCT
iajs-2765	167	29	8(2	8(2	NUM
iajs-2765	167	30	)	)	PUNCT
iajs-2765	167	31	,	,	PUNCT
iajs-2765	167	32	211	211	NUM
iajs-2765	167	33	-	-	SYM
iajs-2765	167	34	217	217	NUM
iajs-2765	167	35	.	.	PUNCT
iajs-2765	168	1	4	4	NUM
iajs-2765	168	2	.	.	X
iajs-2765	168	3	hussein	hussein	PROPN
iajs-2765	168	4	,	,	PUNCT
iajs-2765	168	5	i	i	PRON
iajs-2765	168	6	h.	h.	PROPN
iajs-2765	168	7	;	;	PUNCT
iajs-2765	168	8	mitlif	mitlif	ADJ
iajs-2765	168	9	,	,	PUNCT
iajs-2765	168	10	r	r	NOUN
iajs-2765	168	11	j.	j.	NOUN
iajs-2765	168	12	ranking	ranking	PROPN
iajs-2765	168	13	function	function	NOUN
iajs-2765	168	14	to	to	PART
iajs-2765	168	15	solve	solve	VERB
iajs-2765	168	16	a	a	DET
iajs-2765	168	17	fuzzy	fuzzy	ADJ
iajs-2765	168	18	multiple	multiple	ADJ
iajs-2765	168	19	objective	objective	ADJ
iajs-2765	168	20	function	function	NOUN
iajs-2765	168	21	,	,	PUNCT
iajs-2765	168	22	baghdad	baghdad	PROPN
iajs-2765	168	23	science	science	PROPN
iajs-2765	168	24	journal	journal	PROPN
iajs-2765	168	25	,	,	PUNCT
iajs-2765	168	26	2021,18	2021,18	PROPN
iajs-2765	168	27	,	,	PUNCT
iajs-2765	168	28	1	1	NUM
iajs-2765	168	29	,	,	PUNCT
iajs-2765	168	30	144	144	NUM
iajs-2765	168	31	-	-	SYM
iajs-2765	168	32	148	148	NUM
iajs-2765	168	33	.	.	PUNCT
iajs-2765	169	1	5	5	NUM
iajs-2765	169	2	.	.	X
iajs-2765	169	3	namarta	namarta	NOUN
iajs-2765	169	4	,	,	PUNCT
iajs-2765	169	5	u.	u.	PROPN
iajs-2765	169	6	;	;	PUNCT
iajs-2765	169	7	gupta	gupta	PROPN
iajs-2765	169	8	,	,	PUNCT
iajs-2765	169	9	ch	ch	NOUN
iajs-2765	169	10	.	.	PROPN
iajs-2765	169	11	;	;	PUNCT
iajs-2765	170	1	thakur	thakur	PROPN
iajs-2765	170	2	,	,	PUNCT
iajs-2765	170	3	n.i	n.i	PROPN
iajs-2765	170	4	.	.	PROPN
iajs-2765	170	5	solving	solve	VERB
iajs-2765	170	6	game	game	NOUN
iajs-2765	170	7	problems	problem	NOUN
iajs-2765	170	8	involving	involve	VERB
iajs-2765	170	9	heptagonal	heptagonal	ADJ
iajs-2765	170	10	and	and	CCONJ
iajs-2765	170	11	hendecagonal	hendecagonal	ADJ
iajs-2765	170	12	fuzzy	fuzzy	ADJ
iajs-2765	170	13	payoffs	payoff	NOUN
iajs-2765	170	14	,	,	PUNCT
iajs-2765	170	15	international	international	ADJ
iajs-2765	170	16	journal	journal	NOUN
iajs-2765	170	17	of	of	ADP
iajs-2765	170	18	innovative	innovative	ADJ
iajs-2765	170	19	technology	technology	NOUN
iajs-2765	170	20	and	and	CCONJ
iajs-2765	170	21	exploring	explore	VERB
iajs-2765	170	22	engineering	engineering	NOUN
iajs-2765	170	23	(	(	PUNCT
iajs-2765	170	24	ijitee	ijitee	NOUN
iajs-2765	170	25	)	)	PUNCT
iajs-2765	170	26	.	.	PUNCT
iajs-2765	171	1	2019	2019	NUM
iajs-2765	171	2	,	,	PUNCT
iajs-2765	171	3	8	8	NUM
iajs-2765	171	4	,	,	PUNCT
iajs-2765	171	5	2114	2114	NUM
iajs-2765	171	6	-	-	SYM
iajs-2765	171	7	2120	2120	NUM
iajs-2765	171	8	.	.	PUNCT
iajs-2765	172	1	6	6	NUM
iajs-2765	172	2	.	.	X
iajs-2765	172	3	namarta	namarta	NOUN
iajs-2765	172	4	,	,	PUNCT
iajs-2765	172	5	u.	u.	PROPN
iajs-2765	172	6	;	;	PUNCT
iajs-2765	172	7	gupta	gupta	PROPN
iajs-2765	172	8	,	,	PUNCT
iajs-2765	172	9	ch	ch	NOUN
iajs-2765	172	10	.	.	PROPN
iajs-2765	172	11	;	;	PUNCT
iajs-2765	172	12	thakur	thakur	PROPN
iajs-2765	172	13	,	,	PUNCT
iajs-2765	172	14	n.	n.	NOUN
iajs-2765	172	15	applications	application	NOUN
iajs-2765	172	16	of	of	ADP
iajs-2765	172	17	game	game	NOUN
iajs-2765	172	18	problems	problem	NOUN
iajs-2765	172	19	in	in	ADP
iajs-2765	172	20	fuzzy	fuzzy	ADJ
iajs-2765	172	21	enviornment	enviornment	NOUN
iajs-2765	172	22	,	,	PUNCT
iajs-2765	172	23	international	international	ADJ
iajs-2765	172	24	journal	journal	NOUN
iajs-2765	172	25	for	for	ADP
iajs-2765	172	26	research	research	NOUN
iajs-2765	172	27	in	in	ADP
iajs-2765	172	28	engineering	engineering	NOUN
iajs-2765	172	29	application	application	NOUN
iajs-2765	172	30	&	&	CCONJ
iajs-2765	172	31	management	management	NOUN
iajs-2765	172	32	(	(	PUNCT
iajs-2765	172	33	ijream	ijream	NOUN
iajs-2765	172	34	)	)	PUNCT
iajs-2765	172	35	,	,	PUNCT
iajs-2765	172	36	2019	2019	NUM
iajs-2765	172	37	,	,	PUNCT
iajs-2765	172	38	4	4	NUM
iajs-2765	172	39	,	,	PUNCT
iajs-2765	172	40	228	228	NUM
iajs-2765	172	41	-	-	SYM
iajs-2765	172	42	232	232	NUM
iajs-2765	172	43	.	.	PUNCT
iajs-2765	173	1	7	7	X
iajs-2765	173	2	.	.	NUM
iajs-2765	173	3	mitlif	mitlif	ADJ
iajs-2765	173	4	,	,	PUNCT
iajs-2765	173	5	r	r	PROPN
iajs-2765	173	6	j.	j.	PROPN
iajs-2765	173	7	,	,	PUNCT
iajs-2765	173	8	computation	computation	VERB
iajs-2765	173	9	the	the	DET
iajs-2765	173	10	optimal	optimal	ADJ
iajs-2765	173	11	solution	solution	NOUN
iajs-2765	173	12	of	of	ADP
iajs-2765	173	13	octagonal	octagonal	ADJ
iajs-2765	173	14	fuzzy	fuzzy	ADJ
iajs-2765	173	15	numbers	number	NOUN
iajs-2765	173	16	,	,	PUNCT
iajs-2765	173	17	journal	journal	NOUN
iajs-2765	173	18	of	of	ADP
iajs-2765	173	19	alqadisiyah	alqadisiyah	NOUN
iajs-2765	173	20	for	for	ADP
iajs-2765	173	21	computer	computer	NOUN
iajs-2765	173	22	science	science	NOUN
iajs-2765	173	23	and	and	CCONJ
iajs-2765	173	24	mathematics	mathematic	NOUN
iajs-2765	173	25	,	,	PUNCT
iajs-2765	173	26	2020	2020	NUM
iajs-2765	173	27	,	,	PUNCT
iajs-2765	173	28	12	12	NUM
iajs-2765	173	29	,	,	PUNCT
iajs-2765	173	30	4	4	NUM
iajs-2765	173	31	,	,	PUNCT
iajs-2765	173	32	71–78	71–78	NUM
iajs-2765	173	33	.	.	NOUN
iajs-2765	173	34	8	8	NUM
iajs-2765	173	35	.	.	PUNCT
iajs-2765	174	1	krishnaveni	krishnaveni	PROPN
iajs-2765	174	2	,	,	PUNCT
iajs-2765	174	3	g.	g.	PROPN
iajs-2765	174	4	;	;	PUNCT
iajs-2765	174	5	ganesan	ganesan	PROPN
iajs-2765	174	6	,	,	PUNCT
iajs-2765	174	7	k.	k.	PROPN
iajs-2765	175	1	a	a	DET
iajs-2765	175	2	new	new	ADJ
iajs-2765	175	3	approach	approach	NOUN
iajs-2765	175	4	for	for	ADP
iajs-2765	175	5	the	the	DET
iajs-2765	175	6	solution	solution	NOUN
iajs-2765	175	7	of	of	ADP
iajs-2765	175	8	fuzzy	fuzzy	ADJ
iajs-2765	175	9	games	game	NOUN
iajs-2765	175	10	,	,	PUNCT
iajs-2765	175	11	national	national	ADJ
iajs-2765	175	12	conference	conference	NOUN
iajs-2765	175	13	on	on	ADP
iajs-2765	175	14	mathematical	mathematical	ADJ
iajs-2765	175	15	techniques	technique	NOUN
iajs-2765	175	16	and	and	CCONJ
iajs-2765	175	17	its	its	PRON
iajs-2765	175	18	applications	application	NOUN
iajs-2765	175	19	,	,	PUNCT
iajs-2765	175	20	2018,1	2018,1	NUM
iajs-2765	175	21	-	-	SYM
iajs-2765	175	22	6	6	NUM
iajs-2765	175	23	.	.	NOUN
iajs-2765	175	24	9	9	NUM
iajs-2765	175	25	.	.	X
iajs-2765	175	26	monisha	monisha	PROPN
iajs-2765	175	27	,	,	PUNCT
iajs-2765	175	28	p.	p.	PROPN
iajs-2765	175	29	;	;	PUNCT
iajs-2765	175	30	sangeetha	sangeetha	PROPN
iajs-2765	175	31	,	,	PUNCT
iajs-2765	175	32	k.	k.	PROPN
iajs-2765	175	33	to	to	PART
iajs-2765	175	34	solve	solve	VERB
iajs-2765	175	35	fuzzy	fuzzy	ADJ
iajs-2765	175	36	game	game	NOUN
iajs-2765	175	37	problem	problem	NOUN
iajs-2765	175	38	using	use	VERB
iajs-2765	175	39	pentagonal	pentagonal	ADJ
iajs-2765	175	40	fuzzy	fuzzy	ADJ
iajs-2765	175	41	numbers	number	NOUN
iajs-2765	175	42	,	,	PUNCT
iajs-2765	175	43	international	international	ADJ
iajs-2765	175	44	journal	journal	NOUN
iajs-2765	175	45	for	for	ADP
iajs-2765	175	46	modern	modern	ADJ
iajs-2765	175	47	trends	trend	NOUN
iajs-2765	175	48	in	in	ADP
iajs-2765	175	49	science	science	NOUN
iajs-2765	175	50	and	and	CCONJ
iajs-2765	175	51	technology	technology	NOUN
iajs-2765	175	52	,	,	PUNCT
iajs-2765	175	53	2017	2017	NUM
iajs-2765	175	54	,	,	PUNCT
iajs-2765	175	55	03	03	NUM
iajs-2765	175	56	(	(	PUNCT
iajs-2765	175	57	09	09	NUM
iajs-2765	175	58	)	)	PUNCT
iajs-2765	175	59	,	,	PUNCT
iajs-2765	175	60	,	,	PUNCT
iajs-2765	175	61	152	152	NUM
iajs-2765	175	62	-	-	SYM
iajs-2765	175	63	154	154	NUM
iajs-2765	175	64	.	.	PUNCT
iajs-2765	176	1	10	10	NUM
iajs-2765	176	2	.	.	X
iajs-2765	177	1	mitlif	mitlif	VERB
iajs-2765	177	2	,	,	PUNCT
iajs-2765	177	3	r	r	NOUN
iajs-2765	177	4	j.	j.	PROPN
iajs-2765	177	5	;	;	PUNCT
iajs-2765	177	6	fatema	fatema	PROPN
iajs-2765	177	7	ahmad	ahmad	PROPN
iajs-2765	177	8	sadiq	sadiq	PROPN
iajs-2765	177	9	,	,	PUNCT
iajs-2765	177	10	finding	find	VERB
iajs-2765	177	11	the	the	DET
iajs-2765	177	12	critical	critical	ADJ
iajs-2765	177	13	path	path	NOUN
iajs-2765	177	14	method	method	NOUN
iajs-2765	177	15	for	for	ADP
iajs-2765	177	16	fuzzy	fuzzy	ADJ
iajs-2765	177	17	network	network	NOUN
iajs-2765	177	18	with	with	ADP
iajs-2765	177	19	development	development	NOUN
iajs-2765	177	20	ranking	ranking	NOUN
iajs-2765	177	21	function	function	NOUN
iajs-2765	177	22	,	,	PUNCT
iajs-2765	177	23	journal	journal	NOUN
iajs-2765	177	24	of	of	ADP
iajs-2765	177	25	al	al	PROPN
iajs-2765	177	26	-	-	PUNCT
iajs-2765	177	27	qadisiyah	qadisiyah	NOUN
iajs-2765	177	28	for	for	ADP
iajs-2765	177	29	computer	computer	NOUN
iajs-2765	177	30	science	science	NOUN
iajs-2765	177	31	and	and	CCONJ
iajs-2765	177	32	mathematics	mathematic	NOUN
iajs-2765	177	33	.	.	PUNCT
iajs-2765	178	1	2021	2021	NUM
iajs-2765	178	2	,	,	PUNCT
iajs-2765	178	3	13	13	NUM
iajs-2765	178	4	,	,	PUNCT
iajs-2765	178	5	3	3	NUM
iajs-2765	178	6	,	,	PUNCT
iajs-2765	178	7	98–106	98–106	NUM
iajs-2765	178	8	.	.	PUNCT
iajs-2765	178	9	11	11	NUM
iajs-2765	178	10	.	.	X
iajs-2765	179	1	raju	raju	PROPN
iajs-2765	179	2	,	,	PUNCT
iajs-2765	179	3	v.	v.	PROPN
iajs-2765	179	4	;	;	PUNCT
iajs-2765	179	5	vathana	vathana	ADJ
iajs-2765	179	6	,	,	PUNCT
iajs-2765	179	7	m.	m.	NOUN
iajs-2765	179	8	p.	p.	NOUN
iajs-2765	179	9	discourse	discourse	NOUN
iajs-2765	179	10	on	on	ADP
iajs-2765	179	11	fuzzy	fuzzy	ADJ
iajs-2765	179	12	game	game	NOUN
iajs-2765	179	13	problem	problem	NOUN
iajs-2765	179	14	in	in	ADP
iajs-2765	179	15	icosagonal	icosagonal	ADJ
iajs-2765	179	16	fuzzy	fuzzy	ADJ
iajs-2765	179	17	number	number	NOUN
iajs-2765	179	18	,	,	PUNCT
iajs-2765	179	19	international	international	ADJ
iajs-2765	179	20	journal	journal	NOUN
iajs-2765	179	21	of	of	ADP
iajs-2765	179	22	scientific	scientific	ADJ
iajs-2765	179	23	research	research	NOUN
iajs-2765	179	24	and	and	CCONJ
iajs-2765	179	25	review	review	NOUN
iajs-2765	179	26	,	,	PUNCT
iajs-2765	179	27	2019	2019	NUM
iajs-2765	179	28	,	,	PUNCT
iajs-2765	179	29	8	8	NUM
iajs-2765	179	30	,	,	PUNCT
iajs-2765	179	31	1384	1384	NUM
iajs-2765	179	32	-	-	SYM
iajs-2765	179	33	1390	1390	NUM
iajs-2765	179	34	.	.	PUNCT
iajs-2765	180	1	ibn	ibn	PROPN
iajs-2765	180	2	al	al	PROPN
iajs-2765	180	3	-	-	PUNCT
iajs-2765	180	4	haitham	haitham	PROPN
iajs-2765	180	5	jour	jour	X
iajs-2765	180	6	.	.	PROPN
iajs-2765	180	7	for	for	ADP
iajs-2765	180	8	pure	pure	ADJ
iajs-2765	180	9	&	&	CCONJ
iajs-2765	180	10	appl	appl	PROPN
iajs-2765	180	11	.	.	PUNCT
iajs-2765	181	1	sci	sci	PROPN
iajs-2765	181	2	.	.	PROPN
iajs-2765	182	1	53	53	NUM
iajs-2765	182	2	(	(	PUNCT
iajs-2765	182	3	2)2022	2)2022	VERB
iajs-2765	182	4	69	69	NUM
iajs-2765	182	5	12	12	NUM
iajs-2765	182	6	.	.	PUNCT
iajs-2765	183	1	namarta	namarta	NOUN
iajs-2765	183	2	,	,	PUNCT
iajs-2765	183	3	u.	u.	PROPN
iajs-2765	183	4	ch	ch	PROPN
iajs-2765	183	5	.	.	PUNCT
iajs-2765	184	1	gupta	gupta	PROPN
iajs-2765	184	2	,	,	PUNCT
iajs-2765	184	3	n.	n.	PROPN
iajs-2765	184	4	i.	i.	PROPN
iajs-2765	184	5	thakur	thakur	PROPN
iajs-2765	184	6	,	,	PUNCT
iajs-2765	184	7	a	a	DET
iajs-2765	184	8	new	new	ADJ
iajs-2765	184	9	-cut	-cut	ADJ
iajs-2765	184	10	approach	approach	NOUN
iajs-2765	184	11	to	to	PART
iajs-2765	184	12	solve	solve	VERB
iajs-2765	184	13	fuzzy	fuzzy	ADJ
iajs-2765	184	14	game	game	NOUN
iajs-2765	184	15	problem	problem	NOUN
iajs-2765	184	16	,	,	PUNCT
iajs-2765	184	17	international	international	ADJ
iajs-2765	184	18	journal	journal	NOUN
iajs-2765	184	19	of	of	ADP
iajs-2765	184	20	management	management	NOUN
iajs-2765	184	21	,	,	PUNCT
iajs-2765	184	22	technology	technology	NOUN
iajs-2765	184	23	and	and	CCONJ
iajs-2765	184	24	engineering.2018,8,2761	engineering.2018,8,2761	NOUN
iajs-2765	184	25	-	-	SYM
iajs-2765	184	26	2766	2766	NUM
iajs-2765	184	27	.	.	PUNCT
iajs-2765	185	1	13	13	NUM
iajs-2765	185	2	.	.	PUNCT
iajs-2765	186	1	j.c	j.c	PROPN
iajs-2765	186	2	.	.	PROPN
iajs-2765	186	3	liu	liu	PROPN
iajs-2765	186	4	,	,	PUNCT
iajs-2765	186	5	y.f	y.f	PROPN
iajs-2765	186	6	.	.	PUNCT
iajs-2765	186	7	zhu	zhu	PROPN
iajs-2765	186	8	,	,	PUNCT
iajs-2765	186	9	w.	w.	PROPN
iajs-2765	186	10	j.zhao	j.zhao	PROPN
iajs-2765	186	11	,	,	PUNCT
iajs-2765	186	12	quadratic	quadratic	ADJ
iajs-2765	186	13	programming	programming	NOUN
iajs-2765	186	14	method	method	NOUN
iajs-2765	186	15	for	for	ADP
iajs-2765	186	16	cooperative	cooperative	ADJ
iajs-2765	186	17	games	game	NOUN
iajs-2765	186	18	with	with	ADP
iajs-2765	186	19	coalition	coalition	NOUN
iajs-2765	186	20	values	value	NOUN
iajs-2765	186	21	expressed	express	VERB
iajs-2765	186	22	by	by	ADP
iajs-2765	186	23	triangular	triangular	NOUN
iajs-2765	186	24	fuzzy	fuzzy	ADJ
iajs-2765	186	25	numbers	number	NOUN
iajs-2765	186	26	and	and	CCONJ
iajs-2765	186	27	its	its	PRON
iajs-2765	186	28	application	application	NOUN
iajs-2765	186	29	in	in	ADP
iajs-2765	186	30	the	the	DET
iajs-2765	186	31	profit	profit	NOUN
iajs-2765	186	32	distribution	distribution	NOUN
iajs-2765	186	33	of	of	ADP
iajs-2765	186	34	logistics	logistic	NOUN
iajs-2765	186	35	coalition	coalition	NOUN
iajs-2765	186	36	,	,	PUNCT
iajs-2765	186	37	hindawi	hindawi	ADJ
iajs-2765	186	38	mathematical	mathematical	ADJ
iajs-2765	186	39	problems	problem	NOUN
iajs-2765	186	40	in	in	ADP
iajs-2765	186	41	engineering	engineering	NOUN
iajs-2765	186	42	,	,	PUNCT
iajs-2765	186	43	2019	2019	NUM
iajs-2765	186	44	,	,	PUNCT
iajs-2765	186	45	110	110	NUM
iajs-2765	186	46	.	.	PUNCT
iajs-2765	186	47	14	14	NUM
iajs-2765	186	48	.	.	PUNCT
iajs-2765	187	1	mitlif	mitlif	VERB
iajs-2765	187	2	,	,	PUNCT
iajs-2765	187	3	r	r	NOUN
iajs-2765	187	4	j	j	PROPN
iajs-2765	187	5	,	,	PUNCT
iajs-2765	187	6	an	an	DET
iajs-2765	187	7	efficient	efficient	ADJ
iajs-2765	187	8	algorithm	algorithm	NOUN
iajs-2765	187	9	for	for	ADP
iajs-2765	187	10	fuzzy	fuzzy	ADJ
iajs-2765	187	11	linear	linear	ADJ
iajs-2765	187	12	fractional	fractional	ADJ
iajs-2765	187	13	programming	programming	NOUN
iajs-2765	187	14	problems	problem	NOUN
iajs-2765	187	15	via	via	ADP
iajs-2765	187	16	ranking	ranking	ADJ
iajs-2765	187	17	function	function	NOUN
iajs-2765	187	18	,	,	PUNCT
iajs-2765	187	19	baghdad	baghdad	PROPN
iajs-2765	187	20	science	science	PROPN
iajs-2765	187	21	journal	journal	PROPN
iajs-2765	187	22	,	,	PUNCT
iajs-2765	187	23	2022	2022	NUM
iajs-2765	187	24	,	,	PUNCT
iajs-2765	187	25	19	19	NUM
iajs-2765	187	26	,	,	PUNCT
iajs-2765	187	27	1	1	NUM
iajs-2765	187	28	,	,	PUNCT
iajs-2765	187	29	71	71	NUM
iajs-2765	187	30	-	-	SYM
iajs-2765	187	31	76	76	NUM
iajs-2765	187	32	.	.	PUNCT
iajs-2765	188	1	15	15	NUM
iajs-2765	188	2	.	.	PUNCT
iajs-2765	189	1	ch	ch	NOUN
iajs-2765	189	2	.	.	PROPN
iajs-2765	189	3	cui	cui	PROPN
iajs-2765	189	4	;	;	PUNCT
iajs-2765	189	5	feng	feng	PROPN
iajs-2765	189	6	,	,	PUNCT
iajs-2765	189	7	z.	z.	PROPN
iajs-2765	189	8	;	;	PUNCT
iajs-2765	189	9	ch	ch	PROPN
iajs-2765	189	10	tan	tan	PROPN
iajs-2765	189	11	,	,	PUNCT
iajs-2765	189	12	credibilistic	credibilistic	ADJ
iajs-2765	189	13	loss	loss	NOUN
iajs-2765	189	14	aversion	aversion	NOUN
iajs-2765	189	15	nash	nash	PROPN
iajs-2765	189	16	equilibrium	equilibrium	NOUN
iajs-2765	189	17	for	for	ADP
iajs-2765	189	18	bimatrix	bimatrix	NOUN
iajs-2765	189	19	games	game	NOUN
iajs-2765	189	20	with	with	ADP
iajs-2765	189	21	triangular	triangular	ADJ
iajs-2765	189	22	fuzzy	fuzzy	ADJ
iajs-2765	189	23	payoffs	payoff	NOUN
iajs-2765	189	24	,	,	PUNCT
iajs-2765	189	25	hindawi	hindawi	ADJ
iajs-2765	189	26	complexity	complexity	NOUN
iajs-2765	189	27	,	,	PUNCT
iajs-2765	189	28	2018,1	2018,1	PROPN
iajs-2765	189	29	-	-	SYM
iajs-2765	189	30	16	16	NUM
iajs-2765	189	31	.	.	PUNCT
iajs-2765	190	1	16	16	NUM
iajs-2765	190	2	.	.	PUNCT
iajs-2765	191	1	mitlif	mitlif	PROPN
iajs-2765	191	2	r	r	PROPN
iajs-2765	191	3	j	j	PROPN
iajs-2765	191	4	,	,	PUNCT
iajs-2765	191	5	ranking	rank	VERB
iajs-2765	191	6	function	function	NOUN
iajs-2765	191	7	application	application	NOUN
iajs-2765	191	8	for	for	ADP
iajs-2765	191	9	optimal	optimal	ADJ
iajs-2765	191	10	solution	solution	NOUN
iajs-2765	191	11	of	of	ADP
iajs-2765	191	12	fractional	fractional	ADJ
iajs-2765	191	13	programming	programming	NOUN
iajs-2765	191	14	problem	problem	NOUN
iajs-2765	191	15	,	,	PUNCT
iajs-2765	191	16	al	al	PROPN
iajs-2765	191	17	-	-	PUNCT
iajs-2765	191	18	qadisiyah	qadisiyah	NOUN
iajs-2765	191	19	journal	journal	NOUN
iajs-2765	191	20	of	of	ADP
iajs-2765	191	21	pure	pure	ADJ
iajs-2765	191	22	science	science	NOUN
iajs-2765	191	23	,	,	PUNCT
iajs-2765	191	24	2020	2020	NUM
iajs-2765	191	25	,	,	PUNCT
iajs-2765	191	26	25	25	NUM
iajs-2765	191	27	,	,	PUNCT
iajs-2765	191	28	1,27	1,27	NUM
iajs-2765	191	29	-	-	SYM
iajs-2765	191	30	35	35	NUM
iajs-2765	191	31	.	.	PUNCT
iajs-2765	191	32	17	17	NUM
iajs-2765	191	33	.	.	X
iajs-2765	191	34	narmatha	narmatha	PROPN
iajs-2765	191	35	,	,	PUNCT
iajs-2765	191	36	s.	s.	PROPN
iajs-2765	191	37	;	;	PUNCT
iajs-2765	191	38	glory	glory	PROPN
iajs-2765	191	39	bebina	bebina	PROPN
iajs-2765	191	40	,	,	PUNCT
iajs-2765	191	41	e.	e.	PROPN
iajs-2765	191	42	;	;	PUNCT
iajs-2765	191	43	vishnu	vishnu	ADJ
iajs-2765	191	44	priyaa	priyaa	NOUN
iajs-2765	191	45	,	,	PUNCT
iajs-2765	191	46	r.	r.	NOUN
iajs-2765	191	47	solving	solving	NOUN
iajs-2765	191	48	game	game	NOUN
iajs-2765	191	49	problem	problem	NOUN
iajs-2765	191	50	using	use	VERB
iajs-2765	191	51	icosikaitetragonal	icosikaitetragonal	ADJ
iajs-2765	191	52	fuzzy	fuzzy	ADJ
iajs-2765	191	53	numbers	number	NOUN
iajs-2765	191	54	,	,	PUNCT
iajs-2765	191	55	the	the	DET
iajs-2765	191	56	international	international	ADJ
iajs-2765	191	57	journal	journal	NOUN
iajs-2765	191	58	of	of	ADP
iajs-2765	191	59	analytical	analytical	ADJ
iajs-2765	191	60	and	and	CCONJ
iajs-2765	191	61	experimental	experimental	ADJ
iajs-2765	191	62	modal	modal	ADJ
iajs-2765	191	63	analysis2020	analysis2020	PROPN
iajs-2765	191	64	,	,	PUNCT
iajs-2765	191	65	12	12	NUM
iajs-2765	191	66	,	,	PUNCT
iajs-2765	191	67	55	55	NUM
iajs-2765	191	68	-	-	SYM
iajs-2765	191	69	60	60	NUM
iajs-2765	191	70	.	.	PUNCT
iajs-2765	192	1	18	18	NUM
iajs-2765	192	2	.	.	PUNCT
iajs-2765	192	3	jahir	jahir	PROPN
iajs-2765	192	4	hussain	hussain	PROPN
iajs-2765	192	5	,	,	PUNCT
iajs-2765	192	6	r.	r.	PROPN
iajs-2765	192	7	;	;	PUNCT
iajs-2765	192	8	priya	priya	PROPN
iajs-2765	192	9	,	,	PUNCT
iajs-2765	192	10	a.	a.	NOUN
iajs-2765	192	11	solving	solve	VERB
iajs-2765	192	12	fuzzy	fuzzy	ADJ
iajs-2765	192	13	game	game	NOUN
iajs-2765	192	14	problem	problem	NOUN
iajs-2765	192	15	using	use	VERB
iajs-2765	192	16	hexagonal	hexagonal	ADJ
iajs-2765	192	17	fuzzy	fuzzy	ADJ
iajs-2765	192	18	number	number	NOUN
iajs-2765	192	19	,	,	PUNCT
iajs-2765	192	20	journal	journal	NOUN
iajs-2765	192	21	of	of	ADP
iajs-2765	192	22	computer	computer	NOUN
iajs-2765	192	23	.	.	PUNCT
iajs-2765	193	1	2016	2016	NUM
iajs-2765	193	2	,	,	PUNCT
iajs-2765	193	3	joc	joc	PROPN
iajs-2765	193	4	,	,	PUNCT
iajs-2765	193	5	l	l	PROPN
iajs-2765	193	6	,	,	PUNCT
iajs-2765	193	7	53	53	NUM
iajs-2765	193	8	-	-	SYM
iajs-2765	193	9	59	59	NUM
iajs-2765	193	10	.	.	PUNCT
iajs-2765	194	1	19	19	NUM
iajs-2765	194	2	.	.	PUNCT
iajs-2765	194	3	hamiden	hamiden	PROPN
iajs-2765	194	4	abdelwahed	abdelwahe	VERB
iajs-2765	194	5	khalifa	khalifa	PROPN
iajs-2765	194	6	,	,	PUNCT
iajs-2765	194	7	an	an	DET
iajs-2765	194	8	approach	approach	NOUN
iajs-2765	194	9	for	for	ADP
iajs-2765	194	10	solving	solve	VERB
iajs-2765	194	11	twoperson	twoperson	NOUN
iajs-2765	194	12	zerosum	zerosum	NOUN
iajs-2765	194	13	matrix	matrix	NOUN
iajs-2765	194	14	games	game	NOUN
iajs-2765	194	15	in	in	ADP
iajs-2765	194	16	neutrosophic	neutrosophic	ADJ
iajs-2765	194	17	environment	environment	NOUN
iajs-2765	194	18	,	,	PUNCT
iajs-2765	194	19	journal	journal	NOUN
iajs-2765	194	20	of	of	ADP
iajs-2765	194	21	industrial	industrial	ADJ
iajs-2765	194	22	and	and	CCONJ
iajs-2765	194	23	systems	system	NOUN
iajs-2765	194	24	engineering	engineering	NOUN
iajs-2765	194	25	,	,	PUNCT
iajs-2765	194	26	2019,12(2),186	2019,12(2),186	PROPN
iajs-2765	194	27	-	-	SYM
iajs-2765	194	28	198	198	NUM
iajs-2765	194	29	.	.	PUNCT
iajs-2765	194	30	20	20	NUM
iajs-2765	194	31	.	.	X
iajs-2765	195	1	salman	salman	PROPN
iajs-2765	195	2	,	,	PUNCT
iajs-2765	195	3	israa	israa	ADJ
iajs-2765	195	4	m.	m.	NOUN
iajs-2765	195	5	,	,	PUNCT
iajs-2765	195	6	and	and	CCONJ
iajs-2765	195	7	eman	eman	PROPN
iajs-2765	195	8	a.	a.	PROPN
iajs-2765	195	9	abdul	abdul	PROPN
iajs-2765	195	10	-	-	PUNCT
iajs-2765	195	11	razzaq	razzaq	PROPN
iajs-2765	195	12	.	.	PUNCT
iajs-2765	196	1	"	"	PUNCT
iajs-2765	196	2	solving	solve	VERB
iajs-2765	196	3	nonlinear	nonlinear	ADJ
iajs-2765	196	4	second	second	ADJ
iajs-2765	196	5	order	order	NOUN
iajs-2765	196	6	delay	delay	NOUN
iajs-2765	196	7	eigenvalue	eigenvalue	NOUN
iajs-2765	196	8	problems	problem	NOUN
iajs-2765	196	9	by	by	ADP
iajs-2765	196	10	least	least	ADJ
iajs-2765	196	11	square	square	ADJ
iajs-2765	196	12	method	method	NOUN
iajs-2765	196	13	.	.	PUNCT
iajs-2765	196	14	"	"	PUNCT
iajs-2765	197	1	ibn	ibn	PROPN
iajs-2765	197	2	al	al	PROPN
iajs-2765	197	3	-	-	PUNCT
iajs-2765	197	4	haitham	haitham	PROPN
iajs-2765	197	5	journal	journal	PROPN
iajs-2765	197	6	for	for	ADP
iajs-2765	197	7	pure	pure	ADJ
iajs-2765	197	8	and	and	CCONJ
iajs-2765	197	9	applied	applied	ADJ
iajs-2765	197	10	sciences	science	NOUN
iajs-2765	197	11	,	,	PUNCT
iajs-2765	197	12	2020	2020	NUM
iajs-2765	197	13	,	,	PUNCT
iajs-2765	197	14	33(4)59	33(4)59	NUM
iajs-2765	197	15	-	-	SYM
iajs-2765	197	16	64	64	NUM
iajs-2765	197	17	.	.	PUNCT
iajs-2765	198	1	21	21	NUM
iajs-2765	198	2	.	.	PUNCT
iajs-2765	199	1	kalaf	kalaf	PROPN
iajs-2765	199	2	,	,	PUNCT
iajs-2765	199	3	bayda	bayda	VERB
iajs-2765	199	4	atiya	atiya	PROPN
iajs-2765	199	5	bakar	bakar	PROPN
iajs-2765	199	6	ra	ra	PROPN
iajs-2765	199	7	,	,	PUNCT
iajs-2765	199	8	soon	soon	ADV
iajs-2765	199	9	ll	ll	AUX
iajs-2765	199	10	,	,	PUNCT
iajs-2765	199	11	monsi	monsi	VERB
iajs-2765	199	12	mb	mb	NOUN
iajs-2765	199	13	,	,	PUNCT
iajs-2765	199	14	bakheet	bakheet	PROPN
iajs-2765	199	15	aj	aj	PROPN
iajs-2765	199	16	,	,	PUNCT
iajs-2765	199	17	abbas	abbas	VERB
iajs-2765	199	18	it	it	PRON
iajs-2765	199	19	.	.	PUNCT
iajs-2765	200	1	a	a	DET
iajs-2765	200	2	modified	modify	VERB
iajs-2765	200	3	fuzzy	fuzzy	ADJ
iajs-2765	200	4	multi	multi	ADJ
iajs-2765	200	5	-	-	ADJ
iajs-2765	200	6	objective	objective	ADJ
iajs-2765	200	7	linear	linear	ADJ
iajs-2765	200	8	programming	programming	NOUN
iajs-2765	200	9	to	to	PART
iajs-2765	200	10	solve	solve	VERB
iajs-2765	200	11	aggregate	aggregate	ADJ
iajs-2765	200	12	production	production	NOUN
iajs-2765	200	13	planning	planning	NOUN
iajs-2765	200	14	.	.	PUNCT
iajs-2765	201	1	international	international	ADJ
iajs-2765	201	2	journal	journal	NOUN
iajs-2765	201	3	of	of	ADP
iajs-2765	201	4	pure	pure	ADJ
iajs-2765	201	5	and	and	CCONJ
iajs-2765	201	6	applied	applied	ADJ
iajs-2765	201	7	mathematics	mathematic	NOUN
iajs-2765	201	8	,	,	PUNCT
iajs-2765	201	9	2015,104(3	2015,104(3	NUM
iajs-2765	201	10	)	)	PUNCT
iajs-2765	201	11	.339	.339	NUM
iajs-2765	201	12	-	-	SYM
iajs-2765	201	13	352	352	NUM
iajs-2765	201	14	22	22	NUM
iajs-2765	201	15	.	.	PUNCT
iajs-2765	202	1	thirucheran	thirucheran	ADJ
iajs-2765	202	2	,	,	PUNCT
iajs-2765	202	3	m.	m.	NOUN
iajs-2765	202	4	;	;	PUNCT
iajs-2765	202	5	meena	meena	PROPN
iajs-2765	202	6	kumari	kumari	PROPN
iajs-2765	202	7	,	,	PUNCT
iajs-2765	202	8	e.r	e.r	PROPN
iajs-2765	202	9	.	.	PROPN
iajs-2765	202	10	;	;	PUNCT
iajs-2765	202	11	lavanya	lavanya	PROPN
iajs-2765	202	12	,	,	PUNCT
iajs-2765	202	13	s.	s.	PROPN
iajs-2765	202	14	a	a	DET
iajs-2765	202	15	new	new	ADJ
iajs-2765	202	16	approach	approach	NOUN
iajs-2765	202	17	forsolving	forsolve	VERB
iajs-2765	202	18	fuzzy	fuzzy	ADJ
iajs-2765	202	19	game	game	NOUN
iajs-2765	202	20	problem	problem	NOUN
iajs-2765	202	21	,	,	PUNCT
iajs-2765	202	22	international	international	ADJ
iajs-2765	202	23	journal	journal	NOUN
iajs-2765	202	24	of	of	ADP
iajs-2765	202	25	pure	pure	ADJ
iajs-2765	202	26	and	and	CCONJ
iajs-2765	202	27	applied	applied	ADJ
iajs-2765	202	28	mathematics	mathematic	NOUN
iajs-2765	202	29	,	,	PUNCT
iajs-2765	202	30	2017,114(6	2017,114(6	PROPN
iajs-2765	202	31	)	)	PUNCT
iajs-2765	202	32	,	,	PUNCT
iajs-2765	202	33	67	67	NUM
iajs-2765	202	34	–	–	SYM
iajs-2765	202	35	75	75	NUM
iajs-2765	202	36	.	.	X
iajs-2765	202	37	23	23	NUM
iajs-2765	202	38	.	.	PUNCT
iajs-2765	203	1	krishnaveni	krishnaveni	PROPN
iajs-2765	203	2	,	,	PUNCT
iajs-2765	203	3	g.	g.	PROPN
iajs-2765	203	4	;	;	PUNCT
iajs-2765	203	5	ganesan	ganesan	PROPN
iajs-2765	203	6	,	,	PUNCT
iajs-2765	203	7	k.	k.	PROPN
iajs-2765	203	8	new	new	ADJ
iajs-2765	203	9	approach	approach	NOUN
iajs-2765	203	10	for	for	ADP
iajs-2765	203	11	the	the	DET
iajs-2765	203	12	solution	solution	NOUN
iajs-2765	203	13	of	of	ADP
iajs-2765	203	14	two	two	NUM
iajs-2765	203	15	person	person	NOUN
iajs-2765	203	16	zero	zero	NUM
iajs-2765	203	17	sum	sum	NOUN
iajs-2765	203	18	fuzzy	fuzzy	ADJ
iajs-2765	203	19	games	game	NOUN
iajs-2765	203	20	,	,	PUNCT
iajs-2765	203	21	international	international	ADJ
iajs-2765	203	22	journal	journal	NOUN
iajs-2765	203	23	of	of	ADP
iajs-2765	203	24	pure	pure	ADJ
iajs-2765	203	25	and	and	CCONJ
iajs-2765	203	26	applied	applied	ADJ
iajs-2765	203	27	mathematics	mathematic	NOUN
iajs-2765	203	28	,	,	PUNCT
iajs-2765	203	29	2018	2018	NUM
iajs-2765	203	30	,	,	PUNCT
iajs-2765	203	31	119	119	NUM
iajs-2765	203	32	(	(	PUNCT
iajs-2765	203	33	9	9	NUM
iajs-2765	203	34	)	)	PUNCT
iajs-2765	203	35	,	,	PUNCT
iajs-2765	203	36	405	405	NUM
iajs-2765	203	37	-	-	SYM
iajs-2765	203	38	414	414	NUM
iajs-2765	203	39	.	.	PUNCT
iajs-2765	204	1	24	24	NUM
iajs-2765	204	2	.	.	PUNCT
iajs-2765	205	1	hamiden	hamiden	PROPN
iajs-2765	205	2	bdelwahed	bdelwahe	VERB
iajs-2765	205	3	khalifa	khalifa	PROPN
iajs-2765	205	4	,	,	PUNCT
iajs-2765	205	5	an	an	DET
iajs-2765	205	6	approach	approach	NOUN
iajs-2765	205	7	for	for	ADP
iajs-2765	205	8	solving	solve	VERB
iajs-2765	205	9	twoperson	twoperson	NOUN
iajs-2765	205	10	zerosum	zerosum	NOUN
iajs-2765	205	11	matrix	matrix	NOUN
iajs-2765	205	12	games	game	NOUN
iajs-2765	205	13	in	in	ADP
iajs-2765	205	14	neutrosophic	neutrosophic	ADJ
iajs-2765	205	15	environment	environment	NOUN
iajs-2765	205	16	,	,	PUNCT
iajs-2765	205	17	journal	journal	NOUN
iajs-2765	205	18	of	of	ADP
iajs-2765	205	19	industrial	industrial	ADJ
iajs-2765	205	20	and	and	CCONJ
iajs-2765	205	21	systems	system	NOUN
iajs-2765	205	22	engineering	engineering	NOUN
iajs-2765	205	23	,	,	PUNCT
iajs-2765	205	24	2017,12(2),186198	2017,12(2),186198	NUM
iajs-2765	205	25	.	.	PROPN
iajs-2765	205	26	25	25	NUM
iajs-2765	205	27	.	.	PUNCT
iajs-2765	206	1	tharani	tharani	PROPN
iajs-2765	206	2	r.	r.	PROPN
iajs-2765	206	3	,	,	PUNCT
iajs-2765	206	4	s.	s.	PROPN
iajs-2765	206	5	rekha	rekha	PROPN
iajs-2765	206	6	,	,	PUNCT
iajs-2765	206	7	a	a	DET
iajs-2765	206	8	new	new	ADJ
iajs-2765	206	9	approach	approach	NOUN
iajs-2765	206	10	of	of	ADP
iajs-2765	206	11	solving	solve	VERB
iajs-2765	206	12	fuzzy	fuzzy	ADJ
iajs-2765	206	13	game	game	NOUN
iajs-2765	206	14	problem	problem	NOUN
iajs-2765	206	15	of	of	ADP
iajs-2765	206	16	order	order	NOUN
iajs-2765	206	17	3	3	NUM
iajs-2765	206	18	x	x	SYM
iajs-2765	206	19	3	3	NUM
iajs-2765	206	20	using	use	VERB
iajs-2765	206	21	dodecagonal	dodecagonal	ADJ
iajs-2765	206	22	fuzzy	fuzzy	ADJ
iajs-2765	206	23	numbers	number	NOUN
iajs-2765	206	24	,	,	PUNCT
iajs-2765	206	25	international	international	ADJ
iajs-2765	206	26	journal	journal	NOUN
iajs-2765	206	27	of	of	ADP
iajs-2765	206	28	scientific	scientific	ADJ
iajs-2765	206	29	research	research	NOUN
iajs-2765	206	30	in	in	ADP
iajs-2765	206	31	science	science	NOUN
iajs-2765	206	32	,	,	PUNCT
iajs-2765	206	33	engineering	engineering	NOUN
iajs-2765	206	34	and	and	CCONJ
iajs-2765	206	35	technology	technology	NOUN
iajs-2765	206	36	,	,	PUNCT
iajs-2765	206	37	2017	2017	NUM
iajs-2765	206	38	,	,	PUNCT
iajs-2765	206	39	3	3	NUM
iajs-2765	206	40	(	(	PUNCT
iajs-2765	206	41	6	6	NUM
iajs-2765	206	42	)	)	PUNCT
iajs-2765	206	43	,	,	PUNCT
iajs-2765	206	44	131134	131134	NUM
iajs-2765	206	45	.	.	PUNCT
iajs-2765	207	1	26	26	NUM
iajs-2765	207	2	.	.	PUNCT
iajs-2765	207	3	selvakumari	selvakumari	PROPN
iajs-2765	207	4	,	,	PUNCT
iajs-2765	207	5	k.	k.	PROPN
iajs-2765	207	6	;	;	PUNCT
iajs-2765	207	7	lavanya	lavanya	PROPN
iajs-2765	207	8	,	,	PUNCT
iajs-2765	207	9	s.	s.	PROPN
iajs-2765	207	10	on	on	ADP
iajs-2765	207	11	solving	solve	VERB
iajs-2765	207	12	fuzzy	fuzzy	ADJ
iajs-2765	207	13	game	game	NOUN
iajs-2765	207	14	problem	problem	NOUN
iajs-2765	207	15	using	use	VERB
iajs-2765	207	16	octagonal	octagonal	ADJ
iajs-2765	207	17	fuzzy	fuzzy	ADJ
iajs-2765	207	18	numbers	number	NOUN
iajs-2765	207	19	,	,	PUNCT
iajs-2765	207	20	annals	annal	NOUN
iajs-2765	207	21	of	of	ADP
iajs-2765	207	22	pure	pure	ADJ
iajs-2765	207	23	and	and	CCONJ
iajs-2765	207	24	applied	applied	ADJ
iajs-2765	207	25	mathematics	mathematic	NOUN
iajs-2765	207	26	.	.	PUNCT
iajs-2765	208	1	2014	2014	NUM
iajs-2765	208	2	,	,	PUNCT
iajs-2765	208	3	8	8	NUM
iajs-2765	208	4	(	(	PUNCT
iajs-2765	208	5	2	2	NUM
iajs-2765	208	6	)	)	PUNCT
iajs-2765	208	7	,	,	PUNCT
iajs-2765	208	8	211	211	NUM
iajs-2765	208	9	-	-	SYM
iajs-2765	208	10	217	217	NUM
iajs-2765	208	11	.	.	PUNCT
iajs-2765	209	1	27	27	NUM
iajs-2765	209	2	.	.	X
iajs-2765	209	3	savitha	savitha	PROPN
iajs-2765	209	4	,	,	PUNCT
iajs-2765	209	5	m	m	PROPN
iajs-2765	209	6	t.	t.	PROPN
iajs-2765	209	7	;	;	PUNCT
iajs-2765	209	8	mary	mary	PROPN
iajs-2765	209	9	,	,	PUNCT
iajs-2765	209	10	g.	g.	PROPN
iajs-2765	209	11	new	new	ADJ
iajs-2765	209	12	methods	method	NOUN
iajs-2765	209	13	for	for	ADP
iajs-2765	209	14	ranking	ranking	NOUN
iajs-2765	209	15	of	of	ADP
iajs-2765	209	16	trapezoidal	trapezoidal	ADJ
iajs-2765	209	17	fuzzy	fuzzy	ADJ
iajs-2765	209	18	numbers	number	NOUN
iajs-2765	209	19	,	,	PUNCT
iajs-2765	209	20	advances	advance	NOUN
iajs-2765	209	21	in	in	ADP
iajs-2765	209	22	fuzzy	fuzzy	ADJ
iajs-2765	209	23	mathematics	mathematic	NOUN
iajs-2765	209	24	,	,	PUNCT
iajs-2765	209	25	2017	2017	NUM
iajs-2765	209	26	,	,	PUNCT
iajs-2765	209	27	12(5	12(5	NUM
iajs-2765	209	28	)	)	PUNCT
iajs-2765	209	29	,	,	PUNCT
iajs-2765	209	30	1159	1159	NUM
iajs-2765	209	31	-	-	SYM
iajs-2765	209	32	1170	1170	NUM
iajs-2765	209	33	.	.	PUNCT
iajs-2765	210	1	28	28	NUM
iajs-2765	210	2	.	.	PUNCT
iajs-2765	211	1	zhong	zhong	PROPN
iajs-2765	211	2	,	,	PUNCT
iajs-2765	211	3	y.	y.	PROPN
iajs-2765	211	4	;	;	PUNCT
iajs-2765	211	5	jia	jia	PROPN
iajs-2765	211	6	,	,	PUNCT
iajs-2765	211	7	y.;chen	y.;chen	PROPN
iajs-2765	211	8	,	,	PUNCT
iajs-2765	211	9	d.	d.	PROPN
iajs-2765	211	10	;	;	PUNCT
iajs-2765	211	11	yang	yang	PROPN
iajs-2765	211	12	,	,	PUNCT
iajs-2765	211	13	y.	y.	PROPN
iajs-2765	211	14	interior	interior	ADJ
iajs-2765	211	15	point	point	NOUN
iajs-2765	211	16	method	method	NOUN
iajs-2765	211	17	for	for	ADP
iajs-2765	211	18	solving	solve	VERB
iajs-2765	211	19	fuzzy	fuzzy	ADJ
iajs-2765	211	20	number	number	NOUN
iajs-2765	211	21	linear	linear	NOUN
iajs-2765	211	22	programming	programming	NOUN
iajs-2765	211	23	problems	problem	NOUN
iajs-2765	211	24	using	use	VERB
iajs-2765	211	25	linear	linear	ADJ
iajs-2765	211	26	ranking	ranking	ADJ
iajs-2765	211	27	function	function	NOUN
iajs-2765	211	28	,	,	PUNCT
iajs-2765	211	29	journal	journal	NOUN
iajs-2765	211	30	of	of	ADP
iajs-2765	211	31	applied	apply	VERB
iajs-2765	211	32	mathematics	mathematic	NOUN
iajs-2765	211	33	,	,	PUNCT
iajs-2765	211	34	2013	2013	NUM
iajs-2765	211	35	,	,	PUNCT
iajs-2765	211	36	1	1	NUM
iajs-2765	211	37	-	-	SYM
iajs-2765	211	38	9	9	NUM
iajs-2765	211	39	.	.	PUNCT