id	sid	tid	token	lemma	pos
cana-526	1	1	solving	solve	VERB
cana-526	1	2	fuzzy	fuzzy	ADJ
cana-526	1	3	assignment	assignment	NOUN
cana-526	1	4	problem	problem	NOUN
cana-526	1	5	of	of	ADP
cana-526	1	6	pythagorean	pythagorean	ADJ
cana-526	1	7	fuzzy	fuzzy	ADJ
cana-526	1	8	numbers	number	NOUN
cana-526	1	9	exploiting	exploit	VERB
cana-526	1	10	a	a	DET
cana-526	1	11	software	software	NOUN
cana-526	1	12	tool	tool	NOUN
cana-526	1	13	dr	dr	PROPN
cana-526	1	14	.	.	PROPN
cana-526	1	15	k.	k.	PROPN
cana-526	1	16	senbagam1	senbagam1	PROPN
cana-526	1	17	,	,	PUNCT
cana-526	2	1	mrs	mrs	PROPN
cana-526	2	2	.	.	PROPN
cana-526	2	3	l.	l.	PROPN
cana-526	2	4	saranya2	saranya2	PROPN
cana-526	3	1	1assistant	1assistant	NUM
cana-526	3	2	professor	professor	NOUN
cana-526	3	3	,	,	PUNCT
cana-526	3	4	department	department	NOUN
cana-526	3	5	of	of	ADP
cana-526	3	6	mathematics	mathematics	PROPN
cana-526	3	7	,	,	PUNCT
cana-526	3	8	psg	psg	PROPN
cana-526	3	9	college	college	PROPN
cana-526	3	10	of	of	ADP
cana-526	3	11	arts	arts	PROPN
cana-526	3	12	&	&	CCONJ
cana-526	3	13	science	science	PROPN
cana-526	3	14	,	,	PUNCT
cana-526	3	15	coimbatore	coimbatore	PROPN
cana-526	3	16	2research	2research	NUM
cana-526	3	17	scholar	scholar	NOUN
cana-526	3	18	,	,	PUNCT
cana-526	3	19	department	department	NOUN
cana-526	3	20	of	of	ADP
cana-526	3	21	mathematics	mathematics	PROPN
cana-526	3	22	,	,	PUNCT
cana-526	3	23	psg	psg	PROPN
cana-526	3	24	college	college	PROPN
cana-526	3	25	of	of	ADP
cana-526	3	26	arts	arts	PROPN
cana-526	3	27	&	&	CCONJ
cana-526	3	28	science	science	PROPN
cana-526	3	29	,	,	PUNCT
cana-526	3	30	coimbatore	coimbatore	PROPN
cana-526	3	31	saranya.logajaya@gmail.com	saranya.logajaya@gmail.com	X
cana-526	3	32	abstract	abstract	NOUN
cana-526	3	33	:	:	PUNCT
cana-526	3	34	a	a	DET
cana-526	3	35	fresh	fresh	ADJ
cana-526	3	36	approach	approach	NOUN
cana-526	3	37	to	to	ADP
cana-526	3	38	computing	compute	VERB
cana-526	3	39	assignment	assignment	NOUN
cana-526	3	40	issues	issue	NOUN
cana-526	3	41	in	in	ADP
cana-526	3	42	the	the	DET
cana-526	3	43	pythagorean	pythagorean	PROPN
cana-526	3	44	fuzzy	fuzzy	ADJ
cana-526	3	45	domain	domain	NOUN
cana-526	3	46	is	be	AUX
cana-526	3	47	the	the	DET
cana-526	3	48	focus	focus	NOUN
cana-526	3	49	of	of	ADP
cana-526	3	50	this	this	DET
cana-526	3	51	body	body	NOUN
cana-526	3	52	of	of	ADP
cana-526	3	53	work	work	NOUN
cana-526	3	54	.	.	PUNCT
cana-526	4	1	pythagorean	pythagorean	PROPN
cana-526	4	2	fuzzy	fuzzy	ADJ
cana-526	4	3	numbers	number	NOUN
cana-526	4	4	are	be	AUX
cana-526	4	5	utilised	utilise	VERB
cana-526	4	6	in	in	ADP
cana-526	4	7	this	this	DET
cana-526	4	8	work	work	NOUN
cana-526	4	9	for	for	ADP
cana-526	4	10	the	the	DET
cana-526	4	11	sake	sake	NOUN
cana-526	4	12	of	of	ADP
cana-526	4	13	analysing	analyse	VERB
cana-526	4	14	working	work	VERB
cana-526	4	15	hours	hour	NOUN
cana-526	4	16	and	and	CCONJ
cana-526	4	17	working	working	NOUN
cana-526	4	18	costs	cost	NOUN
cana-526	4	19	.	.	PUNCT
cana-526	5	1	for	for	ADP
cana-526	5	2	converting	convert	VERB
cana-526	5	3	fuzzy	fuzzy	ADJ
cana-526	5	4	sets	set	NOUN
cana-526	5	5	integers	integer	NOUN
cana-526	5	6	into	into	ADP
cana-526	5	7	a	a	DET
cana-526	5	8	crisp	crisp	ADJ
cana-526	5	9	number	number	NOUN
cana-526	5	10	,	,	PUNCT
cana-526	5	11	a	a	DET
cana-526	5	12	new	new	ADJ
cana-526	5	13	ranking	ranking	NOUN
cana-526	5	14	process	process	NOUN
cana-526	5	15	is	be	AUX
cana-526	5	16	used	use	VERB
cana-526	5	17	.	.	PUNCT
cana-526	6	1	optimal	optimal	ADJ
cana-526	6	2	solutions	solution	NOUN
cana-526	6	3	have	have	VERB
cana-526	6	4	to	to	PART
cana-526	6	5	be	be	AUX
cana-526	6	6	found	find	VERB
cana-526	6	7	by	by	ADP
cana-526	6	8	using	use	VERB
cana-526	6	9	software	software	NOUN
cana-526	6	10	techniques	technique	NOUN
cana-526	6	11	for	for	ADP
cana-526	6	12	minimization	minimization	NOUN
cana-526	6	13	,	,	PUNCT
cana-526	6	14	maximization	maximization	NOUN
cana-526	6	15	and	and	CCONJ
cana-526	6	16	unbalanced	unbalanced	ADJ
cana-526	6	17	assignment	assignment	NOUN
cana-526	6	18	problems	problem	NOUN
cana-526	6	19	.	.	PUNCT
cana-526	7	1	in	in	ADP
cana-526	7	2	the	the	DET
cana-526	7	3	end	end	NOUN
cana-526	7	4	,	,	PUNCT
cana-526	7	5	numerical	numerical	ADJ
cana-526	7	6	examples	example	NOUN
cana-526	7	7	are	be	AUX
cana-526	7	8	being	be	AUX
cana-526	7	9	solved	solve	VERB
cana-526	7	10	by	by	ADP
cana-526	7	11	using	use	VERB
cana-526	7	12	the	the	DET
cana-526	7	13	proposed	propose	VERB
cana-526	7	14	technique	technique	NOUN
cana-526	7	15	.	.	PUNCT
cana-526	8	1	keywords	keyword	NOUN
cana-526	8	2	:	:	PUNCT
cana-526	8	3	maximization	maximization	NOUN
cana-526	8	4	pythagorean	pythagorean	PROPN
cana-526	8	5	fuzzy	fuzzy	ADJ
cana-526	8	6	assignment	assignment	NOUN
cana-526	8	7	problem	problem	NOUN
cana-526	8	8	,	,	PUNCT
cana-526	8	9	fuzzy	fuzzy	ADJ
cana-526	8	10	sets	set	NOUN
cana-526	8	11	,	,	PUNCT
cana-526	8	12	triangular	triangular	NOUN
cana-526	8	13	pythagorean	pythagorean	ADJ
cana-526	8	14	fuzzy	fuzzy	ADJ
cana-526	8	15	numbers	number	NOUN
cana-526	8	16	,	,	PUNCT
cana-526	8	17	ranking	ranking	ADJ
cana-526	8	18	function	function	NOUN
cana-526	8	19	,	,	PUNCT
cana-526	8	20	software	software	NOUN
cana-526	8	21	tool	tool	NOUN
cana-526	8	22	1	1	NUM
cana-526	8	23	.	.	PUNCT
cana-526	9	1	introduction	introduction	NOUN
cana-526	9	2	operations	operation	NOUN
cana-526	9	3	research	research	NOUN
cana-526	9	4	is	be	AUX
cana-526	9	5	an	an	DET
cana-526	9	6	important	important	ADJ
cana-526	9	7	field	field	NOUN
cana-526	9	8	to	to	ADP
cana-526	9	9	finding	find	VERB
cana-526	9	10	new	new	ADJ
cana-526	9	11	variety	variety	NOUN
cana-526	9	12	of	of	ADP
cana-526	9	13	solution	solution	NOUN
cana-526	9	14	in	in	ADP
cana-526	9	15	many	many	ADJ
cana-526	9	16	real	real	ADJ
cana-526	9	17	life	life	NOUN
cana-526	9	18	problems	problem	NOUN
cana-526	9	19	.	.	PUNCT
cana-526	10	1	in	in	ADP
cana-526	10	2	or	or	CCONJ
cana-526	10	3	,	,	PUNCT
cana-526	10	4	transportation	transportation	NOUN
cana-526	10	5	problems	problem	NOUN
cana-526	10	6	are	be	AUX
cana-526	10	7	used	use	VERB
cana-526	10	8	to	to	PART
cana-526	10	9	compute	compute	VERB
cana-526	10	10	optimal	optimal	ADJ
cana-526	10	11	value	value	NOUN
cana-526	10	12	for	for	ADP
cana-526	10	13	goods	good	NOUN
cana-526	10	14	shipping	shipping	NOUN
cana-526	10	15	.	.	PUNCT
cana-526	11	1	the	the	DET
cana-526	11	2	problem	problem	NOUN
cana-526	11	3	formulation	formulation	NOUN
cana-526	11	4	is	be	AUX
cana-526	11	5	a	a	DET
cana-526	11	6	subclass	subclass	NOUN
cana-526	11	7	of	of	ADP
cana-526	11	8	the	the	DET
cana-526	11	9	transportation	transportation	NOUN
cana-526	11	10	problem	problem	NOUN
cana-526	11	11	.	.	PUNCT
cana-526	12	1	it	it	PRON
cana-526	12	2	refers	refer	VERB
cana-526	12	3	to	to	PART
cana-526	12	4	assign	assign	VERB
cana-526	12	5	a	a	DET
cana-526	12	6	work	work	NOUN
cana-526	12	7	to	to	ADP
cana-526	12	8	the	the	DET
cana-526	12	9	labour	labour	NOUN
cana-526	12	10	with	with	ADP
cana-526	12	11	the	the	DET
cana-526	12	12	purpose	purpose	NOUN
cana-526	12	13	of	of	ADP
cana-526	12	14	either	either	PRON
cana-526	12	15	minimizing	minimize	VERB
cana-526	12	16	the	the	DET
cana-526	12	17	cost	cost	NOUN
cana-526	12	18	or	or	CCONJ
cana-526	12	19	reducing	reduce	VERB
cana-526	12	20	the	the	DET
cana-526	12	21	number	number	NOUN
cana-526	12	22	of	of	ADP
cana-526	12	23	hours	hour	NOUN
cana-526	12	24	into	into	ADP
cana-526	12	25	a	a	DET
cana-526	12	26	single	single	ADJ
cana-526	12	27	to	to	ADP
cana-526	12	28	one	one	NUM
cana-526	12	29	correspondence	correspondence	NOUN
cana-526	12	30	.	.	PUNCT
cana-526	13	1	nowadays	nowadays	ADV
cana-526	13	2	fuzzy	fuzzy	ADJ
cana-526	13	3	sets	set	NOUN
cana-526	13	4	are	be	AUX
cana-526	13	5	mainly	mainly	ADV
cana-526	13	6	used	use	VERB
cana-526	13	7	to	to	ADP
cana-526	13	8	all	all	DET
cana-526	13	9	fields	field	NOUN
cana-526	13	10	.	.	PUNCT
cana-526	14	1	since	since	SCONJ
cana-526	14	2	many	many	ADJ
cana-526	14	3	of	of	ADP
cana-526	14	4	the	the	DET
cana-526	14	5	real	real	ADJ
cana-526	14	6	life	life	NOUN
cana-526	14	7	problems	problem	NOUN
cana-526	14	8	having	have	VERB
cana-526	14	9	only	only	ADV
cana-526	14	10	vagueness	vagueness	NOUN
cana-526	14	11	or	or	CCONJ
cana-526	14	12	imprecision	imprecision	NOUN
cana-526	14	13	values	value	NOUN
cana-526	14	14	.	.	PUNCT
cana-526	15	1	an	an	DET
cana-526	15	2	improvement	improvement	NOUN
cana-526	15	3	on	on	ADP
cana-526	15	4	intuitionistic	intuitionistic	ADJ
cana-526	15	5	fuzzy	fuzzy	ADJ
cana-526	15	6	sets	set	NOUN
cana-526	15	7	,	,	PUNCT
cana-526	15	8	pythagorean	pythagorean	PROPN
cana-526	15	9	fuzzy	fuzzy	ADJ
cana-526	15	10	sets	set	NOUN
cana-526	15	11	take	take	VERB
cana-526	15	12	the	the	DET
cana-526	15	13	precondition	precondition	NOUN
cana-526	15	14	and	and	CCONJ
cana-526	15	15	wrapping	wrap	VERB
cana-526	15	16	legion	legion	NOUN
cana-526	15	17	regions	region	NOUN
cana-526	15	18	and	and	CCONJ
cana-526	15	19	unwrap	unwrap	VERB
cana-526	15	20	them	they	PRON
cana-526	15	21	.	.	PUNCT
cana-526	16	1	it	it	PRON
cana-526	16	2	is	be	AUX
cana-526	16	3	utilised	utilise	VERB
cana-526	16	4	for	for	ADP
cana-526	16	5	determining	determine	VERB
cana-526	16	6	the	the	DET
cana-526	16	7	best	good	ADJ
cana-526	16	8	course	course	NOUN
cana-526	16	9	of	of	ADP
cana-526	16	10	action	action	NOUN
cana-526	16	11	in	in	ADP
cana-526	16	12	decision	decision	NOUN
cana-526	16	13	making	making	NOUN
cana-526	16	14	,	,	PUNCT
cana-526	16	15	transportation	transportation	NOUN
cana-526	16	16	,	,	PUNCT
cana-526	16	17	and	and	CCONJ
cana-526	16	18	business	business	NOUN
cana-526	16	19	endeavours	endeavour	NOUN
cana-526	16	20	,	,	PUNCT
cana-526	16	21	among	among	ADP
cana-526	16	22	other	other	ADJ
cana-526	16	23	applications	application	NOUN
cana-526	16	24	.	.	PUNCT
cana-526	17	1	fuzzy	fuzzy	ADJ
cana-526	17	2	sets	set	NOUN
cana-526	17	3	(	(	PUNCT
cana-526	17	4	fss	fss	NOUN
cana-526	17	5	)	)	PUNCT
cana-526	17	6	have	have	AUX
cana-526	17	7	been	be	AUX
cana-526	17	8	crucial	crucial	ADJ
cana-526	17	9	in	in	ADP
cana-526	17	10	various	various	ADJ
cana-526	17	11	areas	area	NOUN
cana-526	17	12	of	of	ADP
cana-526	17	13	contemporary	contemporary	ADJ
cana-526	17	14	culture	culture	NOUN
cana-526	17	15	.	.	PUNCT
cana-526	18	1	it	it	PRON
cana-526	18	2	is	be	AUX
cana-526	18	3	proposed	propose	VERB
cana-526	18	4	to	to	PART
cana-526	18	5	enhance	enhance	VERB
cana-526	18	6	the	the	DET
cana-526	18	7	functionality	functionality	NOUN
cana-526	18	8	of	of	ADP
cana-526	18	9	fss	fss	ADJ
cana-526	18	10	and	and	CCONJ
cana-526	18	11	better	well	ADV
cana-526	18	12	express	express	VERB
cana-526	18	13	uncertain	uncertain	ADJ
cana-526	18	14	information	information	NOUN
cana-526	18	15	.	.	PUNCT
cana-526	19	1	information	information	NOUN
cana-526	19	2	may	may	AUX
cana-526	19	3	be	be	AUX
cana-526	19	4	described	describe	VERB
cana-526	19	5	in	in	ADP
cana-526	19	6	these	these	DET
cana-526	19	7	sets	set	NOUN
cana-526	19	8	and	and	CCONJ
cana-526	19	9	methods	method	NOUN
cana-526	19	10	more	more	ADV
cana-526	19	11	thoroughly	thoroughly	ADV
cana-526	19	12	and	and	CCONJ
cana-526	19	13	precisely	precisely	ADV
cana-526	19	14	.	.	PUNCT
cana-526	20	1	pythagorean	pythagorean	PROPN
cana-526	20	2	fuzzy	fuzzy	ADJ
cana-526	20	3	set	set	PROPN
cana-526	20	4	(	(	PUNCT
cana-526	20	5	pfs	pfs	PROPN
cana-526	20	6	)	)	PUNCT
cana-526	20	7	,	,	PUNCT
cana-526	20	8	a	a	DET
cana-526	20	9	new	new	ADJ
cana-526	20	10	nonstandard	nonstandard	ADJ
cana-526	20	11	fuzzy	fuzzy	ADJ
cana-526	20	12	set	set	NOUN
cana-526	20	13	,	,	PUNCT
cana-526	20	14	has	have	AUX
cana-526	20	15	just	just	ADV
cana-526	20	16	been	be	AUX
cana-526	20	17	developed	develop	VERB
cana-526	20	18	.	.	PUNCT
cana-526	21	1	the	the	DET
cana-526	21	2	pfs	pfs	PROPN
cana-526	21	3	was	be	AUX
cana-526	21	4	created	create	VERB
cana-526	21	5	because	because	SCONJ
cana-526	21	6	we	we	PRON
cana-526	21	7	frequently	frequently	ADV
cana-526	21	8	come	come	VERB
cana-526	21	9	across	across	ADP
cana-526	21	10	these	these	DET
cana-526	21	11	unique	unique	ADJ
cana-526	21	12	situations	situation	NOUN
cana-526	21	13	in	in	ADP
cana-526	21	14	practical	practical	ADJ
cana-526	21	15	decision	decision	NOUN
cana-526	21	16	-	-	PUNCT
cana-526	21	17	making	make	VERB
cana-526	21	18	processes	process	NOUN
cana-526	21	19	,	,	PUNCT
cana-526	21	20	where	where	SCONJ
cana-526	21	21	an	an	DET
cana-526	21	22	alternative	alternative	NOUN
cana-526	21	23	may	may	AUX
cana-526	21	24	satisfy	satisfy	VERB
cana-526	21	25	a	a	DET
cana-526	21	26	decision	decision	NOUN
cana-526	21	27	-	-	PUNCT
cana-526	21	28	maker	maker	NOUN
cana-526	21	29	-	-	PUNCT
cana-526	21	30	provided	provide	VERB
cana-526	21	31	criterion	criterion	NOUN
cana-526	21	32	to	to	ADP
cana-526	21	33	a	a	DET
cana-526	21	34	support	support	NOUN
cana-526	21	35	(	(	PUNCT
cana-526	21	36	membership	membership	NOUN
cana-526	21	37	)	)	PUNCT
cana-526	21	38	degree	degree	NOUN
cana-526	21	39	and	and	CCONJ
cana-526	21	40	a	a	DET
cana-526	21	41	nonmembership	nonmembership	NOUN
cana-526	21	42	degree	degree	NOUN
cana-526	21	43	.	.	PUNCT
cana-526	22	1	for	for	ADP
cana-526	22	2	simplicity	simplicity	NOUN
cana-526	22	3	,	,	PUNCT
cana-526	22	4	the	the	DET
cana-526	22	5	pythagorean	pythagorean	ADJ
cana-526	22	6	fuzzy	fuzzy	ADJ
cana-526	22	7	numbers	number	NOUN
cana-526	22	8	(	(	PUNCT
cana-526	22	9	pfns	pfns	NOUN
cana-526	22	10	)	)	PUNCT
cana-526	22	11	will	will	AUX
cana-526	22	12	be	be	AUX
cana-526	22	13	the	the	DET
cana-526	22	14	pfs	pfs	PROPN
cana-526	22	15	's	's	PART
cana-526	22	16	constituent	constituent	ADJ
cana-526	22	17	parts	part	NOUN
cana-526	22	18	—	—	PUNCT
cana-526	22	19	pfns	pfns	NOUN
cana-526	22	20	'	'	PART
cana-526	22	21	fundamental	fundamental	ADJ
cana-526	22	22	operations	operation	NOUN
cana-526	22	23	,	,	PUNCT
cana-526	22	24	such	such	ADJ
cana-526	22	25	as	as	ADP
cana-526	22	26	intersection	intersection	NOUN
cana-526	22	27	,	,	PUNCT
cana-526	22	28	union	union	NOUN
cana-526	22	29	,	,	PUNCT
cana-526	22	30	addition	addition	NOUN
cana-526	22	31	,	,	PUNCT
cana-526	22	32	and	and	CCONJ
cana-526	22	33	multiplication	multiplication	NOUN
cana-526	22	34	.	.	PUNCT
cana-526	23	1	the	the	DET
cana-526	23	2	pythagorean	pythagorean	PROPN
cana-526	23	3	complement	complement	NOUN
cana-526	23	4	was	be	AUX
cana-526	23	5	the	the	DET
cana-526	23	6	main	main	ADJ
cana-526	23	7	focus	focus	NOUN
cana-526	23	8	of	of	ADP
cana-526	23	9	the	the	DET
cana-526	23	10	study	study	NOUN
cana-526	23	11	,	,	PUNCT
cana-526	23	12	and	and	CCONJ
cana-526	23	13	it	it	PRON
cana-526	23	14	was	be	AUX
cana-526	23	15	utilised	utilise	VERB
cana-526	23	16	to	to	PART
cana-526	23	17	create	create	VERB
cana-526	23	18	pfs	pfs	PROPN
cana-526	23	19	.	.	PUNCT
cana-526	24	1	then	then	ADV
cana-526	24	2	,	,	PUNCT
cana-526	24	3	using	use	VERB
cana-526	24	4	these	these	DET
cana-526	24	5	pfss	pfss	NOUN
cana-526	24	6	,	,	PUNCT
cana-526	24	7	he	he	PRON
cana-526	24	8	applied	apply	VERB
cana-526	24	9	several	several	ADJ
cana-526	24	10	aggregation	aggregation	NOUN
cana-526	24	11	techniques	technique	NOUN
cana-526	24	12	to	to	ADP
cana-526	24	13	situations	situation	NOUN
cana-526	24	14	involving	involve	VERB
cana-526	24	15	multi	multi	ADJ
cana-526	24	16	-	-	ADJ
cana-526	24	17	criteria	criterion	NOUN
cana-526	24	18	decision	decision	NOUN
cana-526	24	19	-	-	PUNCT
cana-526	24	20	making	making	NOUN
cana-526	24	21	(	(	PUNCT
cana-526	24	22	mcdm	mcdm	ADJ
cana-526	24	23	)	)	PUNCT
cana-526	24	24	.	.	PUNCT
cana-526	25	1	they	they	PRON
cana-526	25	2	specifically	specifically	ADV
cana-526	25	3	demonstrated	demonstrate	VERB
cana-526	25	4	that	that	SCONJ
cana-526	25	5	the	the	DET
cana-526	25	6	pythagorean	pythagorean	PROPN
cana-526	25	7	membership	membership	NOUN
cana-526	25	8	grades	grade	NOUN
cana-526	25	9	belong	belong	VERB
cana-526	25	10	to	to	ADP
cana-526	25	11	the	the	DET
cana-526	25	12	problematic	problematic	ADJ
cana-526	25	13	number	number	NOUN
cana-526	25	14	category	category	NOUN
cana-526	25	15	known	know	VERB
cana-526	25	16	as	as	ADP
cana-526	25	17	-i	-i	X
cana-526	25	18	numbers	number	NOUN
cana-526	25	19	.	.	PUNCT
cana-526	26	1	later	later	ADV
cana-526	26	2	,	,	PUNCT
cana-526	26	3	a	a	DET
cana-526	26	4	straightforward	straightforward	ADJ
cana-526	26	5	and	and	CCONJ
cana-526	26	6	efficient	efficient	ADJ
cana-526	26	7	pythagorean	pythagorean	PROPN
cana-526	26	8	fuzzy	fuzzy	ADJ
cana-526	26	9	topsis	topsis	NOUN
cana-526	26	10	approach	approach	NOUN
cana-526	26	11	was	be	AUX
cana-526	26	12	presented	present	VERB
cana-526	26	13	for	for	ADP
cana-526	26	14	quickly	quickly	ADJ
cana-526	26	15	communications	communication	NOUN
cana-526	26	16	on	on	ADP
cana-526	26	17	applied	apply	VERB
cana-526	26	18	nonlinear	nonlinear	ADJ
cana-526	26	19	analysis	analysis	NOUN
cana-526	26	20	issn	issn	NOUN
cana-526	26	21	:	:	PUNCT
cana-526	26	22	1074	1074	NUM
cana-526	26	23	-	-	PUNCT
cana-526	26	24	133x	133x	NUM
cana-526	26	25	vol	vol	NOUN
cana-526	26	26	31	31	NUM
cana-526	26	27	no	no	NOUN
cana-526	26	28	.	.	NOUN
cana-526	26	29	2	2	NUM
cana-526	26	30	(	(	PUNCT
cana-526	26	31	2024	2024	NUM
cana-526	26	32	)	)	PUNCT
cana-526	27	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	27	2	142	142	NUM
cana-526	27	3	article	article	NOUN
cana-526	27	4	history	history	NOUN
cana-526	27	5	:	:	PUNCT
cana-526	27	6	received	receive	VERB
cana-526	27	7	:	:	PUNCT
cana-526	27	8	27	27	NUM
cana-526	27	9	-	-	SYM
cana-526	27	10	01	01	NUM
cana-526	27	11	-	-	PUNCT
cana-526	27	12	2024	2024	NUM
cana-526	27	13	revised	revise	VERB
cana-526	27	14	:	:	PUNCT
cana-526	27	15	12	12	NUM
cana-526	27	16	-	-	PUNCT
cana-526	27	17	04	04	NUM
cana-526	27	18	-	-	PUNCT
cana-526	27	19	2024	2024	NUM
cana-526	27	20	accepted	accept	VERB
cana-526	27	21	:	:	PUNCT
cana-526	27	22	28	28	NUM
cana-526	27	23	-	-	PUNCT
cana-526	27	24	04	04	NUM
cana-526	27	25	-	-	PUNCT
cana-526	27	26	2024	2024	NUM
cana-526	27	27	addressing	address	VERB
cana-526	27	28	several	several	ADJ
cana-526	27	29	mcdm	mcdm	ADJ
cana-526	27	30	issues	issue	NOUN
cana-526	27	31	.	.	PUNCT
cana-526	28	1	the	the	DET
cana-526	28	2	research	research	NOUN
cana-526	28	3	listed	list	VERB
cana-526	28	4	above	above	ADV
cana-526	28	5	,	,	PUNCT
cana-526	28	6	however	however	ADV
cana-526	28	7	,	,	PUNCT
cana-526	28	8	only	only	ADV
cana-526	28	9	considers	consider	VERB
cana-526	28	10	how	how	SCONJ
cana-526	28	11	to	to	PART
cana-526	28	12	handle	handle	VERB
cana-526	28	13	pfss	pfss	ADV
cana-526	28	14	by	by	ADP
cana-526	28	15	incorporating	incorporate	VERB
cana-526	28	16	certain	certain	ADJ
cana-526	28	17	operations	operation	NOUN
cana-526	28	18	and	and	CCONJ
cana-526	28	19	aggregating	aggregate	VERB
cana-526	28	20	techniques	technique	NOUN
cana-526	28	21	for	for	ADP
cana-526	28	22	discrete	discrete	ADJ
cana-526	28	23	information	information	NOUN
cana-526	28	24	.	.	PUNCT
cana-526	29	1	different	different	ADJ
cana-526	29	2	fuzzy	fuzzy	ADJ
cana-526	29	3	sets	set	NOUN
cana-526	29	4	can	can	AUX
cana-526	29	5	be	be	AUX
cana-526	29	6	used	use	VERB
cana-526	29	7	to	to	PART
cana-526	29	8	communicate	communicate	VERB
cana-526	29	9	ambiguous	ambiguous	ADJ
cana-526	29	10	and	and	CCONJ
cana-526	29	11	uncertain	uncertain	ADJ
cana-526	29	12	information	information	NOUN
cana-526	29	13	in	in	ADP
cana-526	29	14	actual	actual	ADJ
cana-526	29	15	decision	decision	NOUN
cana-526	29	16	-	-	PUNCT
cana-526	29	17	making	make	VERB
cana-526	29	18	processes	process	NOUN
cana-526	29	19	.	.	PUNCT
cana-526	30	1	however	however	ADV
cana-526	30	2	,	,	PUNCT
cana-526	30	3	we	we	PRON
cana-526	30	4	may	may	AUX
cana-526	30	5	run	run	VERB
cana-526	30	6	into	into	ADP
cana-526	30	7	instances	instance	NOUN
cana-526	30	8	where	where	SCONJ
cana-526	30	9	an	an	DET
cana-526	30	10	option	option	NOUN
cana-526	30	11	fulfils	fulfil	VERB
cana-526	30	12	a	a	DET
cana-526	30	13	condition	condition	NOUN
cana-526	30	14	supplied	supply	VERB
cana-526	30	15	by	by	ADP
cana-526	30	16	the	the	DET
cana-526	30	17	decision	decision	NOUN
cana-526	30	18	maker	maker	NOUN
cana-526	30	19	.	.	PUNCT
cana-526	31	1	as	as	SCONJ
cana-526	31	2	the	the	DET
cana-526	31	3	basic	basic	ADJ
cana-526	31	4	building	building	NOUN
cana-526	31	5	blocks	block	NOUN
cana-526	31	6	of	of	ADP
cana-526	31	7	pfss	pfss	NOUN
cana-526	31	8	,	,	PUNCT
cana-526	31	9	pythagorean	pythagorean	ADJ
cana-526	31	10	fuzzy	fuzzy	ADJ
cana-526	31	11	numbers	number	NOUN
cana-526	31	12	(	(	PUNCT
cana-526	31	13	pfns	pfns	NOUN
cana-526	31	14	)	)	PUNCT
cana-526	31	15	are	be	AUX
cana-526	31	16	initially	initially	ADV
cana-526	31	17	described	describe	VERB
cana-526	31	18	in	in	ADP
cana-526	31	19	this	this	DET
cana-526	31	20	study	study	NOUN
cana-526	31	21	as	as	ADP
cana-526	31	22	change	change	NOUN
cana-526	31	23	values	value	NOUN
cana-526	31	24	when	when	SCONJ
cana-526	31	25	viewed	view	VERB
cana-526	31	26	as	as	ADP
cana-526	31	27	variables	variable	NOUN
cana-526	31	28	.	.	PUNCT
cana-526	32	1	lotfi	lotfi	PROPN
cana-526	32	2	zadeh	zadeh	PROPN
cana-526	32	3	(	(	PUNCT
cana-526	32	4	1965	1965	NUM
cana-526	32	5	)	)	PUNCT
cana-526	32	6	pioneered	pioneer	VERB
cana-526	32	7	the	the	DET
cana-526	32	8	idea	idea	NOUN
cana-526	32	9	of	of	ADP
cana-526	32	10	fuzzy	fuzzy	ADJ
cana-526	32	11	thinking	thinking	NOUN
cana-526	32	12	in	in	ADP
cana-526	32	13	order	order	NOUN
cana-526	32	14	to	to	PART
cana-526	32	15	address	address	VERB
cana-526	32	16	issues	issue	NOUN
cana-526	32	17	relating	relate	VERB
cana-526	32	18	to	to	ADP
cana-526	32	19	imprecision	imprecision	NOUN
cana-526	32	20	and	and	CCONJ
cana-526	32	21	vagueness	vagueness	NOUN
cana-526	32	22	.	.	PUNCT
cana-526	33	1	atanassov	atanassov	PROPN
cana-526	33	2	(	(	PUNCT
cana-526	33	3	1986,1989	1986,1989	NUM
cana-526	33	4	)	)	PUNCT
cana-526	33	5	extended	extend	VERB
cana-526	33	6	the	the	DET
cana-526	33	7	concept	concept	NOUN
cana-526	33	8	of	of	ADP
cana-526	33	9	fuzzy	fuzzy	ADJ
cana-526	33	10	sets	set	NOUN
cana-526	33	11	with	with	ADP
cana-526	33	12	the	the	DET
cana-526	33	13	fuzzy	fuzzy	ADJ
cana-526	33	14	sets	set	NOUN
cana-526	33	15	and	and	CCONJ
cana-526	33	16	discussed	discuss	VERB
cana-526	33	17	their	their	PRON
cana-526	33	18	many	many	ADJ
cana-526	33	19	aspects	aspect	NOUN
cana-526	33	20	.	.	PUNCT
cana-526	34	1	this	this	PRON
cana-526	34	2	was	be	AUX
cana-526	34	3	the	the	DET
cana-526	34	4	first	first	ADJ
cana-526	34	5	time	time	NOUN
cana-526	34	6	the	the	DET
cana-526	34	7	concept	concept	NOUN
cana-526	34	8	had	have	AUX
cana-526	34	9	been	be	AUX
cana-526	34	10	presented	present	VERB
cana-526	34	11	.	.	PUNCT
cana-526	35	1	angelov	angelov	NOUN
cana-526	35	2	made	make	VERB
cana-526	35	3	a	a	DET
cana-526	35	4	suggestion	suggestion	NOUN
cana-526	35	5	for	for	ADP
cana-526	35	6	the	the	DET
cana-526	35	7	optimization	optimization	NOUN
cana-526	35	8	of	of	ADP
cana-526	35	9	an	an	DET
cana-526	35	10	intuitively	intuitively	ADV
cana-526	35	11	fuzzy	fuzzy	ADJ
cana-526	35	12	environment	environment	NOUN
cana-526	35	13	in	in	ADP
cana-526	35	14	his	his	PRON
cana-526	35	15	paper	paper	NOUN
cana-526	35	16	.	.	PUNCT
cana-526	36	1	pp	pp	ADV
cana-526	36	2	(	(	PUNCT
cana-526	36	3	1997	1997	NUM
cana-526	36	4	)	)	PUNCT
cana-526	36	5	.	.	PUNCT
cana-526	37	1	after	after	ADP
cana-526	37	2	that	that	PRON
cana-526	37	3	,	,	PUNCT
cana-526	37	4	he	he	PRON
cana-526	37	5	expanded	expand	VERB
cana-526	37	6	the	the	DET
cana-526	37	7	intuitive	intuitive	ADJ
cana-526	37	8	fuzzy	fuzzy	NOUN
cana-526	37	9	set	set	VERB
cana-526	37	10	by	by	ADP
cana-526	37	11	adding	add	VERB
cana-526	37	12	new	new	ADJ
cana-526	37	13	items	item	NOUN
cana-526	37	14	and	and	CCONJ
cana-526	37	15	graphical	graphical	ADJ
cana-526	37	16	representation	representation	NOUN
cana-526	37	17	(	(	PUNCT
cana-526	37	18	1999	1999	NUM
cana-526	37	19	)	)	PUNCT
cana-526	37	20	.	.	PUNCT
cana-526	38	1	the	the	DET
cana-526	38	2	hungarian	hungarian	ADJ
cana-526	38	3	technique	technique	NOUN
cana-526	38	4	,	,	PUNCT
cana-526	38	5	which	which	PRON
cana-526	38	6	had	have	AUX
cana-526	38	7	been	be	AUX
cana-526	38	8	suggested	suggest	VERB
cana-526	38	9	by	by	ADP
cana-526	38	10	kuhn	kuhn	PROPN
cana-526	38	11	(	(	PUNCT
cana-526	38	12	1955	1955	NUM
cana-526	38	13	)	)	PUNCT
cana-526	38	14	,	,	PUNCT
cana-526	38	15	was	be	AUX
cana-526	38	16	utilised	utilise	VERB
cana-526	38	17	in	in	ADP
cana-526	38	18	order	order	NOUN
cana-526	38	19	to	to	PART
cana-526	38	20	resolve	resolve	VERB
cana-526	38	21	the	the	DET
cana-526	38	22	assignment	assignment	NOUN
cana-526	38	23	problem	problem	NOUN
cana-526	38	24	.	.	PUNCT
cana-526	39	1	mahapatra	mahapatra	PROPN
cana-526	39	2	and	and	CCONJ
cana-526	39	3	roy	roy	PROPN
cana-526	39	4	(	(	PUNCT
cana-526	39	5	2009	2009	NUM
cana-526	39	6	)	)	PUNCT
cana-526	39	7	conducted	conduct	VERB
cana-526	39	8	research	research	NOUN
cana-526	39	9	on	on	ADP
cana-526	39	10	the	the	DET
cana-526	39	11	reliability	reliability	NOUN
cana-526	39	12	of	of	ADP
cana-526	39	13	fuzzy	fuzzy	ADJ
cana-526	39	14	systems	system	NOUN
cana-526	39	15	.	.	PUNCT
cana-526	40	1	the	the	DET
cana-526	40	2	sorting	sort	VERB
cana-526	40	3	function	function	NOUN
cana-526	40	4	of	of	ADP
cana-526	40	5	triangular	triangular	NOUN
cana-526	40	6	intuitionistic	intuitionistic	ADJ
cana-526	40	7	fuzzy	fuzzy	ADJ
cana-526	40	8	numbers	number	NOUN
cana-526	40	9	was	be	AUX
cana-526	40	10	analysed	analyse	VERB
cana-526	40	11	and	and	CCONJ
cana-526	40	12	explained	explain	VERB
cana-526	40	13	by	by	ADP
cana-526	40	14	nagoorgani	nagoorgani	PROPN
cana-526	40	15	and	and	CCONJ
cana-526	40	16	ponnalagu	ponnalagu	PROPN
cana-526	40	17	(	(	PUNCT
cana-526	40	18	2012yager	2012yager	NUM
cana-526	40	19	(	(	PUNCT
cana-526	40	20	2013	2013	NUM
cana-526	40	21	,	,	PUNCT
cana-526	40	22	2014	2014	NUM
cana-526	40	23	)	)	PUNCT
cana-526	40	24	provided	provide	VERB
cana-526	40	25	an	an	DET
cana-526	40	26	explanation	explanation	NOUN
cana-526	40	27	of	of	ADP
cana-526	40	28	the	the	DET
cana-526	40	29	concept	concept	NOUN
cana-526	40	30	of	of	ADP
cana-526	40	31	pythagorean	pythagorean	PROPN
cana-526	40	32	fuzzy	fuzzy	ADJ
cana-526	40	33	sets	set	NOUN
cana-526	40	34	,	,	PUNCT
cana-526	40	35	which	which	PRON
cana-526	40	36	are	be	AUX
cana-526	40	37	responsible	responsible	ADJ
cana-526	40	38	for	for	ADP
cana-526	40	39	the	the	DET
cana-526	40	40	complicated	complicated	ADJ
cana-526	40	41	ambiguity	ambiguity	NOUN
cana-526	40	42	and	and	CCONJ
cana-526	40	43	unreliability	unreliability	NOUN
cana-526	40	44	in	in	ADP
cana-526	40	45	a	a	DET
cana-526	40	46	variety	variety	NOUN
cana-526	40	47	of	of	ADP
cana-526	40	48	domains	domain	NOUN
cana-526	40	49	.	.	PUNCT
cana-526	41	1	the	the	DET
cana-526	41	2	distinguished	distinguished	ADJ
cana-526	41	3	attribute	attribute	NOUN
cana-526	41	4	of	of	ADP
cana-526	41	5	the	the	DET
cana-526	41	6	pythagorean	pythagorean	PROPN
cana-526	41	7	fuzzy	fuzzy	ADJ
cana-526	41	8	method	method	NOUN
cana-526	41	9	is	be	AUX
cana-526	41	10	to	to	PART
cana-526	41	11	loosen	loosen	VERB
cana-526	41	12	up	up	ADP
cana-526	41	13	the	the	DET
cana-526	41	14	restriction	restriction	NOUN
cana-526	41	15	and	and	CCONJ
cana-526	41	16	which	which	PRON
cana-526	41	17	was	be	AUX
cana-526	41	18	more	more	ADV
cana-526	41	19	accessible	accessible	ADJ
cana-526	41	20	than	than	ADP
cana-526	41	21	intuitionistic	intuitionistic	ADJ
cana-526	41	22	fuzzy	fuzzy	ADJ
cana-526	41	23	sets	set	NOUN
cana-526	41	24	.	.	PUNCT
cana-526	42	1	yager	yager	NOUN
cana-526	42	2	(	(	PUNCT
cana-526	42	3	2014	2014	NUM
cana-526	42	4	)	)	PUNCT
cana-526	42	5	presented	present	VERB
cana-526	42	6	a	a	DET
cana-526	42	7	number	number	NOUN
cana-526	42	8	of	of	ADP
cana-526	42	9	distinct	distinct	ADJ
cana-526	42	10	kinds	kind	NOUN
cana-526	42	11	of	of	ADP
cana-526	42	12	aggregation	aggregation	NOUN
cana-526	42	13	methods	method	NOUN
cana-526	42	14	for	for	ADP
cana-526	42	15	pythagorean	pythagorean	ADJ
cana-526	42	16	fuzzy	fuzzy	ADJ
cana-526	42	17	subsets	subset	NOUN
cana-526	42	18	.	.	PUNCT
cana-526	43	1	subsequently	subsequently	ADV
cana-526	43	2	,	,	PUNCT
cana-526	43	3	in	in	ADP
cana-526	43	4	the	the	DET
cana-526	43	5	instance	instance	NOUN
cana-526	43	6	of	of	ADP
cana-526	43	7	a	a	DET
cana-526	43	8	multicriteria	multicriteria	NOUN
cana-526	43	9	decision	decision	NOUN
cana-526	43	10	making	making	NOUN
cana-526	43	11	problem	problem	NOUN
cana-526	43	12	,	,	PUNCT
cana-526	43	13	they	they	PRON
cana-526	43	14	described	describe	VERB
cana-526	43	15	the	the	DET
cana-526	43	16	problem	problem	NOUN
cana-526	43	17	in	in	ADP
cana-526	43	18	terms	term	NOUN
cana-526	43	19	of	of	ADP
cana-526	43	20	pythagorean	pythagorean	PROPN
cana-526	43	21	degree	degree	NOUN
cana-526	43	22	of	of	ADP
cana-526	43	23	membership	membership	NOUN
cana-526	43	24	.	.	PUNCT
cana-526	44	1	zhang	zhang	PROPN
cana-526	44	2	and	and	CCONJ
cana-526	44	3	xu	xu	PROPN
cana-526	44	4	(	(	PUNCT
cana-526	44	5	2014	2014	NUM
cana-526	44	6	)	)	PUNCT
cana-526	44	7	presented	present	VERB
cana-526	44	8	a	a	DET
cana-526	44	9	number	number	NOUN
cana-526	44	10	of	of	ADP
cana-526	44	11	novel	novel	ADJ
cana-526	44	12	operational	operational	ADJ
cana-526	44	13	concepts	concept	NOUN
cana-526	44	14	of	of	ADP
cana-526	44	15	pythagorean	pythagorean	PROPN
cana-526	44	16	fuzzy	fuzzy	ADJ
cana-526	44	17	sets	set	NOUN
cana-526	44	18	and	and	CCONJ
cana-526	44	19	outlined	outline	VERB
cana-526	44	20	their	their	PRON
cana-526	44	21	properties	property	NOUN
cana-526	44	22	.	.	PUNCT
cana-526	45	1	the	the	DET
cana-526	45	2	authors	author	NOUN
cana-526	45	3	also	also	ADV
cana-526	45	4	discussed	discuss	VERB
cana-526	45	5	potential	potential	ADJ
cana-526	45	6	applications	application	NOUN
cana-526	45	7	.	.	PUNCT
cana-526	46	1	in	in	ADP
cana-526	46	2	addition	addition	NOUN
cana-526	46	3	to	to	ADP
cana-526	46	4	this	this	PRON
cana-526	46	5	,	,	PUNCT
cana-526	46	6	they	they	PRON
cana-526	46	7	discussed	discuss	VERB
cana-526	46	8	a	a	DET
cana-526	46	9	more	more	ADV
cana-526	46	10	comprehensive	comprehensive	ADJ
cana-526	46	11	approach	approach	NOUN
cana-526	46	12	to	to	ADP
cana-526	46	13	the	the	DET
cana-526	46	14	problems	problem	NOUN
cana-526	46	15	of	of	ADP
cana-526	46	16	decision	decision	NOUN
cana-526	46	17	-	-	PUNCT
cana-526	46	18	making	making	NOUN
cana-526	46	19	based	base	VERB
cana-526	46	20	on	on	ADP
cana-526	46	21	many	many	ADJ
cana-526	46	22	criteria	criterion	NOUN
cana-526	46	23	,	,	PUNCT
cana-526	46	24	which	which	PRON
cana-526	46	25	can	can	AUX
cana-526	46	26	be	be	AUX
cana-526	46	27	resolved	resolve	VERB
cana-526	46	28	by	by	ADP
cana-526	46	29	using	use	VERB
cana-526	46	30	pythagorean	pythagorean	PROPN
cana-526	46	31	fuzzy	fuzzy	ADJ
cana-526	46	32	sets	set	NOUN
cana-526	46	33	.	.	PUNCT
cana-526	47	1	luqman	luqman	PROPN
cana-526	47	2	etal	etal	PROPN
cana-526	47	3	(	(	PUNCT
cana-526	47	4	2020	2020	NUM
cana-526	47	5	)	)	PUNCT
cana-526	47	6	explained	explain	VERB
cana-526	47	7	pythagorean	pythagorean	PROPN
cana-526	47	8	fuzzy	fuzzy	ADJ
cana-526	47	9	risk	risk	NOUN
cana-526	47	10	matrices	matrix	NOUN
cana-526	47	11	and	and	CCONJ
cana-526	47	12	calculate	calculate	VERB
cana-526	47	13	the	the	DET
cana-526	47	14	risk	risk	NOUN
cana-526	47	15	priority	priority	NOUN
cana-526	47	16	idexes	idexe	NOUN
cana-526	47	17	.	.	PUNCT
cana-526	48	1	an	an	DET
cana-526	48	2	explanation	explanation	NOUN
cana-526	48	3	of	of	ADP
cana-526	48	4	how	how	SCONJ
cana-526	48	5	to	to	PART
cana-526	48	6	tackle	tackle	VERB
cana-526	48	7	the	the	DET
cana-526	48	8	transportation	transportation	NOUN
cana-526	48	9	problem	problem	NOUN
cana-526	48	10	in	in	ADP
cana-526	48	11	a	a	DET
cana-526	48	12	pythagorean	pythagorean	ADJ
cana-526	48	13	fuzzy	fuzzy	ADJ
cana-526	48	14	environment	environment	NOUN
cana-526	48	15	was	be	AUX
cana-526	48	16	provided	provide	VERB
cana-526	48	17	by	by	ADP
cana-526	48	18	kumar	kumar	PROPN
cana-526	48	19	etal	etal	PROPN
cana-526	48	20	(	(	PUNCT
cana-526	48	21	2019	2019	NUM
cana-526	48	22	)	)	PUNCT
cana-526	48	23	.	.	PUNCT
cana-526	49	1	to	to	PART
cana-526	49	2	address	address	VERB
cana-526	49	3	the	the	DET
cana-526	49	4	pythagorean	pythagorean	PROPN
cana-526	49	5	fuzzy	fuzzy	ADJ
cana-526	49	6	linear	linear	PROPN
cana-526	49	7	programming	programming	NOUN
cana-526	49	8	problem	problem	NOUN
cana-526	49	9	,	,	PUNCT
cana-526	49	10	muhammad	muhammad	PROPN
cana-526	49	11	akram	akram	PROPN
cana-526	49	12	,	,	PUNCT
cana-526	49	13	inayat	inayat	PROPN
cana-526	49	14	ullah	ullah	PROPN
cana-526	49	15	,	,	PUNCT
cana-526	49	16	and	and	CCONJ
cana-526	49	17	others	other	NOUN
cana-526	49	18	(	(	PUNCT
cana-526	49	19	2021	2021	NUM
cana-526	49	20	)	)	PUNCT
cana-526	49	21	came	come	VERB
cana-526	49	22	up	up	ADP
cana-526	49	23	with	with	ADP
cana-526	49	24	the	the	DET
cana-526	49	25	idea	idea	NOUN
cana-526	49	26	of	of	ADP
cana-526	49	27	using	use	VERB
cana-526	49	28	nonnegative	nonnegative	ADJ
cana-526	49	29	and	and	CCONJ
cana-526	49	30	unconstrained	unconstrained	ADJ
cana-526	49	31	triangular	triangular	NOUN
cana-526	49	32	pythagorean	pythagorean	ADJ
cana-526	49	33	fuzzy	fuzzy	ADJ
cana-526	49	34	numbers	number	NOUN
cana-526	49	35	in	in	ADP
cana-526	49	36	conjunction	conjunction	NOUN
cana-526	49	37	with	with	ADP
cana-526	49	38	equality	equality	NOUN
cana-526	49	39	constraints	constraint	NOUN
cana-526	49	40	.	.	PUNCT
cana-526	50	1	pythagorean	pythagorean	PROPN
cana-526	50	2	fuzzy	fuzzy	ADJ
cana-526	50	3	modified	modify	VERB
cana-526	50	4	distribution	distribution	NOUN
cana-526	50	5	approach	approach	NOUN
cana-526	50	6	is	be	AUX
cana-526	50	7	designed	design	VERB
cana-526	50	8	to	to	PART
cana-526	50	9	identify	identify	VERB
cana-526	50	10	optimality	optimality	NOUN
cana-526	50	11	.	.	PUNCT
cana-526	51	1	this	this	DET
cana-526	51	2	method	method	NOUN
cana-526	51	3	was	be	AUX
cana-526	51	4	developed	develop	VERB
cana-526	51	5	by	by	ADP
cana-526	51	6	priyanka	priyanka	NOUN
cana-526	51	7	nagar	nagar	PROPN
cana-526	51	8	,	,	PUNCT
cana-526	51	9	pankaj	pankaj	PROPN
cana-526	51	10	kumar	kumar	PROPN
cana-526	51	11	srivasta	srivasta	PROPN
cana-526	51	12	,	,	PUNCT
cana-526	51	13	and	and	CCONJ
cana-526	51	14	their	their	PRON
cana-526	51	15	colleagues	colleague	NOUN
cana-526	51	16	(	(	PUNCT
cana-526	51	17	2021	2021	NUM
cana-526	51	18	)	)	PUNCT
cana-526	51	19	in	in	ADP
cana-526	51	20	order	order	NOUN
cana-526	51	21	to	to	PART
cana-526	51	22	cope	cope	VERB
cana-526	51	23	with	with	ADP
cana-526	51	24	optimisation	optimisation	NOUN
cana-526	51	25	of	of	ADP
cana-526	51	26	fuzzy	fuzzy	ADJ
cana-526	51	27	species	specie	NOUN
cana-526	51	28	pythagorean	pythagorean	PROPN
cana-526	51	29	transportation	transportation	NOUN
cana-526	51	30	problem	problem	NOUN
cana-526	51	31	with	with	ADP
cana-526	51	32	conserved	conserve	VERB
cana-526	51	33	uncertainties	uncertainty	NOUN
cana-526	51	34	.	.	PUNCT
cana-526	52	1	using	use	VERB
cana-526	52	2	the	the	DET
cana-526	52	3	application	application	NOUN
cana-526	52	4	of	of	ADP
cana-526	52	5	the	the	DET
cana-526	52	6	signature	signature	NOUN
cana-526	52	7	approach	approach	NOUN
cana-526	52	8	,	,	PUNCT
cana-526	52	9	nagoor	nagoor	PROPN
cana-526	52	10	gani	gani	PROPN
cana-526	52	11	and	and	CCONJ
cana-526	52	12	v.n	v.n	PROPN
cana-526	52	13	.	.	PROPN
cana-526	52	14	mohamed	mohamed	PROPN
cana-526	52	15	mohamed	mohamed	PROPN
cana-526	52	16	(	(	PUNCT
cana-526	52	17	2019	2019	NUM
cana-526	52	18	)	)	PUNCT
cana-526	52	19	were	be	AUX
cana-526	52	20	able	able	ADJ
cana-526	52	21	to	to	PART
cana-526	52	22	solve	solve	VERB
cana-526	52	23	the	the	DET
cana-526	52	24	intuitionistic	intuitionistic	ADJ
cana-526	52	25	fuzzy	fuzzy	ADJ
cana-526	52	26	assignment	assignment	NOUN
cana-526	52	27	problem	problem	NOUN
cana-526	52	28	.	.	PUNCT
cana-526	53	1	in	in	ADP
cana-526	53	2	2016	2016	NUM
cana-526	53	3	,	,	PUNCT
cana-526	53	4	ronald	ronald	PROPN
cana-526	53	5	r.	r.	PROPN
cana-526	53	6	yager	yager	PROPN
cana-526	53	7	provided	provide	VERB
cana-526	53	8	an	an	DET
cana-526	53	9	explanation	explanation	NOUN
cana-526	53	10	of	of	ADP
cana-526	53	11	the	the	DET
cana-526	53	12	content	content	NOUN
cana-526	53	13	of	of	ADP
cana-526	53	14	pythagorean	pythagorean	PROPN
cana-526	53	15	fuzzy	fuzzy	ADJ
cana-526	53	16	subsets	subset	NOUN
cana-526	53	17	as	as	ADV
cana-526	53	18	well	well	ADV
cana-526	53	19	as	as	ADP
cana-526	53	20	the	the	DET
cana-526	53	21	relationship	relationship	NOUN
cana-526	53	22	between	between	ADP
cana-526	53	23	those	those	PRON
cana-526	53	24	and	and	CCONJ
cana-526	53	25	intuitionistic	intuitionistic	ADJ
cana-526	53	26	fuzzy	fuzzy	ADJ
cana-526	53	27	subsets	subset	NOUN
cana-526	53	28	.	.	PUNCT
cana-526	54	1	using	use	VERB
cana-526	54	2	fermat	fermat	PROPN
cana-526	54	3	's	's	PART
cana-526	54	4	fuzzy	fuzzy	ADJ
cana-526	54	5	numbers	number	NOUN
cana-526	54	6	,	,	PUNCT
cana-526	54	7	laxminarayan	laxminarayan	PROPN
cana-526	54	8	sahoo	sahoo	PROPN
cana-526	54	9	(	(	PUNCT
cana-526	54	10	2021	2021	NUM
cana-526	54	11	)	)	PUNCT
cana-526	54	12	was	be	AUX
cana-526	54	13	able	able	ADJ
cana-526	54	14	to	to	PART
cana-526	54	15	find	find	VERB
cana-526	54	16	a	a	DET
cana-526	54	17	solution	solution	NOUN
cana-526	54	18	to	to	ADP
cana-526	54	19	the	the	DET
cana-526	54	20	transportation	transportation	NOUN
cana-526	54	21	problem	problem	NOUN
cana-526	54	22	.	.	PUNCT
cana-526	55	1	ting	ting	PROPN
cana-526	55	2	and	and	CCONJ
cana-526	55	3	yu	yu	PROPN
cana-526	55	4	chen	chen	PROPN
cana-526	55	5	(	(	PUNCT
cana-526	55	6	2017	2017	NUM
cana-526	55	7	)	)	PUNCT
cana-526	55	8	centred	centre	VERB
cana-526	55	9	their	their	PRON
cana-526	55	10	attention	attention	NOUN
cana-526	55	11	on	on	ADP
cana-526	55	12	the	the	DET
cana-526	55	13	multiple	multiple	ADJ
cana-526	55	14	criterion	criterion	NOUN
cana-526	55	15	decision	decision	NOUN
cana-526	55	16	analysis	analysis	NOUN
cana-526	55	17	by	by	ADP
cana-526	55	18	making	make	VERB
cana-526	55	19	use	use	NOUN
cana-526	55	20	of	of	ADP
cana-526	55	21	the	the	DET
cana-526	55	22	ivpf	ivpf	PROPN
cana-526	55	23	details	detail	NOUN
cana-526	55	24	.	.	PUNCT
cana-526	56	1	after	after	ADP
cana-526	56	2	that	that	PRON
cana-526	56	3	,	,	PUNCT
cana-526	56	4	they	they	PRON
cana-526	56	5	went	go	VERB
cana-526	56	6	into	into	ADP
cana-526	56	7	specifics	specific	NOUN
cana-526	56	8	on	on	ADP
cana-526	56	9	the	the	DET
cana-526	56	10	outshining	outshine	VERB
cana-526	56	11	decision	decision	NOUN
cana-526	56	12	making	make	VERB
cana-526	56	13	strategy	strategy	NOUN
cana-526	56	14	for	for	ADP
cana-526	56	15	the	the	DET
cana-526	56	16	proximitybased	proximitybased	ADJ
cana-526	56	17	assignment	assignment	NOUN
cana-526	56	18	model	model	NOUN
cana-526	56	19	.	.	PUNCT
cana-526	57	1	communications	communication	NOUN
cana-526	57	2	on	on	ADP
cana-526	57	3	applied	apply	VERB
cana-526	57	4	nonlinear	nonlinear	ADJ
cana-526	57	5	analysis	analysis	NOUN
cana-526	57	6	issn	issn	NOUN
cana-526	57	7	:	:	PUNCT
cana-526	57	8	1074	1074	NUM
cana-526	57	9	-	-	PUNCT
cana-526	57	10	133x	133x	NUM
cana-526	57	11	vol	vol	NOUN
cana-526	57	12	31	31	NUM
cana-526	57	13	no	no	NOUN
cana-526	57	14	.	.	NOUN
cana-526	57	15	2	2	NUM
cana-526	57	16	(	(	PUNCT
cana-526	57	17	2024	2024	NUM
cana-526	57	18	)	)	PUNCT
cana-526	58	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	58	2	143	143	NUM
cana-526	58	3	in	in	ADP
cana-526	58	4	this	this	DET
cana-526	58	5	paper	paper	NOUN
cana-526	58	6	,	,	PUNCT
cana-526	58	7	we	we	PRON
cana-526	58	8	proposed	propose	VERB
cana-526	58	9	an	an	DET
cana-526	58	10	assignment	assignment	NOUN
cana-526	58	11	problem	problem	NOUN
cana-526	58	12	technique	technique	NOUN
cana-526	58	13	with	with	ADP
cana-526	58	14	triangular	triangular	ADJ
cana-526	58	15	pythagorean	pythagorean	ADJ
cana-526	58	16	fuzzy	fuzzy	ADJ
cana-526	58	17	numbers	number	NOUN
cana-526	58	18	.	.	PUNCT
cana-526	59	1	then	then	ADV
cana-526	59	2	we	we	PRON
cana-526	59	3	explained	explain	VERB
cana-526	59	4	a	a	DET
cana-526	59	5	ranking	rank	VERB
cana-526	59	6	function	function	NOUN
cana-526	59	7	,	,	PUNCT
cana-526	59	8	arithmetic	arithmetic	ADJ
cana-526	59	9	operations	operation	NOUN
cana-526	59	10	and	and	CCONJ
cana-526	59	11	expand	expand	VERB
cana-526	59	12	a	a	DET
cana-526	59	13	current	current	ADJ
cana-526	59	14	method	method	NOUN
cana-526	59	15	for	for	ADP
cana-526	59	16	computing	compute	VERB
cana-526	59	17	optimum	optimum	ADJ
cana-526	59	18	result	result	NOUN
cana-526	59	19	of	of	ADP
cana-526	59	20	the	the	DET
cana-526	59	21	pythagorean	pythagorean	PROPN
cana-526	59	22	fuzzy	fuzzy	ADJ
cana-526	59	23	assignment	assignment	NOUN
cana-526	59	24	model	model	NOUN
cana-526	59	25	for	for	ADP
cana-526	59	26	non	non	ADJ
cana-526	59	27	-	-	ADJ
cana-526	59	28	negative	negative	ADJ
cana-526	59	29	constraints	constraint	NOUN
cana-526	59	30	in	in	ADP
cana-526	59	31	both	both	CCONJ
cana-526	59	32	balanced	balanced	ADJ
cana-526	59	33	and	and	CCONJ
cana-526	59	34	unbalanced	unbalanced	ADJ
cana-526	59	35	problems	problem	NOUN
cana-526	59	36	.	.	PUNCT
cana-526	60	1	then	then	ADV
cana-526	60	2	apply	apply	VERB
cana-526	60	3	the	the	DET
cana-526	60	4	suggested	suggest	VERB
cana-526	60	5	techniques	technique	NOUN
cana-526	60	6	for	for	ADP
cana-526	60	7	computing	compute	VERB
cana-526	60	8	real	real	ADJ
cana-526	60	9	world	world	NOUN
cana-526	60	10	problems	problem	NOUN
cana-526	60	11	.	.	PUNCT
cana-526	61	1	pythagorean	pythagorean	PROPN
cana-526	61	2	fuzzy	fuzzy	ADJ
cana-526	61	3	numbers	number	NOUN
cana-526	61	4	are	be	AUX
cana-526	61	5	a	a	DET
cana-526	61	6	type	type	NOUN
cana-526	61	7	of	of	ADP
cana-526	61	8	fuzzy	fuzzy	ADJ
cana-526	61	9	numbers	number	NOUN
cana-526	61	10	that	that	PRON
cana-526	61	11	extend	extend	VERB
cana-526	61	12	the	the	DET
cana-526	61	13	concept	concept	NOUN
cana-526	61	14	of	of	ADP
cana-526	61	15	fuzzy	fuzzy	ADJ
cana-526	61	16	sets	set	NOUN
cana-526	61	17	.	.	PUNCT
cana-526	62	1	they	they	PRON
cana-526	62	2	were	be	AUX
cana-526	62	3	introduced	introduce	VERB
cana-526	62	4	by	by	ADP
cana-526	62	5	yager	yager	NOUN
cana-526	62	6	in	in	ADP
cana-526	62	7	1996	1996	NUM
cana-526	62	8	as	as	ADP
cana-526	62	9	a	a	DET
cana-526	62	10	way	way	NOUN
cana-526	62	11	to	to	PART
cana-526	62	12	represent	represent	VERB
cana-526	62	13	uncertainty	uncertainty	NOUN
cana-526	62	14	or	or	CCONJ
cana-526	62	15	vagueness	vagueness	NOUN
cana-526	62	16	in	in	ADP
cana-526	62	17	a	a	DET
cana-526	62	18	more	more	ADV
cana-526	62	19	intuitive	intuitive	ADJ
cana-526	62	20	and	and	CCONJ
cana-526	62	21	expressive	expressive	ADJ
cana-526	62	22	manner	manner	NOUN
cana-526	62	23	.	.	PUNCT
cana-526	63	1	in	in	ADP
cana-526	63	2	traditional	traditional	ADJ
cana-526	63	3	fuzzy	fuzzy	ADJ
cana-526	63	4	sets	set	NOUN
cana-526	63	5	,	,	PUNCT
cana-526	63	6	membership	membership	NOUN
cana-526	63	7	degrees	degree	NOUN
cana-526	63	8	are	be	AUX
cana-526	63	9	assigned	assign	VERB
cana-526	63	10	to	to	ADP
cana-526	63	11	elements	element	NOUN
cana-526	63	12	of	of	ADP
cana-526	63	13	a	a	DET
cana-526	63	14	set	set	NOUN
cana-526	63	15	using	use	VERB
cana-526	63	16	a	a	DET
cana-526	63	17	membership	membership	NOUN
cana-526	63	18	function	function	NOUN
cana-526	63	19	.	.	PUNCT
cana-526	64	1	pythagorean	pythagorean	PROPN
cana-526	64	2	fuzzy	fuzzy	ADJ
cana-526	64	3	numbers	number	NOUN
cana-526	64	4	take	take	VERB
cana-526	64	5	a	a	DET
cana-526	64	6	different	different	ADJ
cana-526	64	7	approach	approach	NOUN
cana-526	64	8	by	by	ADP
cana-526	64	9	assigning	assign	VERB
cana-526	64	10	a	a	DET
cana-526	64	11	membership	membership	NOUN
cana-526	64	12	degree	degree	NOUN
cana-526	64	13	to	to	ADP
cana-526	64	14	each	each	DET
cana-526	64	15	value	value	NOUN
cana-526	64	16	within	within	ADP
cana-526	64	17	a	a	DET
cana-526	64	18	range	range	NOUN
cana-526	64	19	or	or	CCONJ
cana-526	64	20	interval	interval	NOUN
cana-526	64	21	.	.	PUNCT
cana-526	65	1	these	these	DET
cana-526	65	2	membership	membership	NOUN
cana-526	65	3	degrees	degree	NOUN
cana-526	65	4	are	be	AUX
cana-526	65	5	determined	determine	VERB
cana-526	65	6	based	base	VERB
cana-526	65	7	on	on	ADP
cana-526	65	8	the	the	DET
cana-526	65	9	pythagorean	pythagorean	PROPN
cana-526	65	10	fuzzy	fuzzy	ADJ
cana-526	65	11	membership	membership	NOUN
cana-526	65	12	function	function	NOUN
cana-526	65	13	.	.	PUNCT
cana-526	66	1	a	a	DET
cana-526	66	2	pythagorean	pythagorean	ADJ
cana-526	66	3	fuzzy	fuzzy	ADJ
cana-526	66	4	number	number	NOUN
cana-526	66	5	(	(	PUNCT
cana-526	66	6	pfn	pfn	PROPN
cana-526	66	7	)	)	PUNCT
cana-526	66	8	is	be	AUX
cana-526	66	9	represented	represent	VERB
cana-526	66	10	by	by	ADP
cana-526	66	11	a	a	DET
cana-526	66	12	triple	triple	ADJ
cana-526	66	13	(	(	PUNCT
cana-526	66	14	l	l	NOUN
cana-526	66	15	,	,	PUNCT
cana-526	66	16	m	m	PROPN
cana-526	66	17	,	,	PUNCT
cana-526	66	18	r	r	NOUN
cana-526	66	19	)	)	PUNCT
cana-526	66	20	,	,	PUNCT
cana-526	66	21	where	where	SCONJ
cana-526	66	22	l	l	NOUN
cana-526	66	23	,	,	PUNCT
cana-526	66	24	m	m	PROPN
cana-526	66	25	,	,	PUNCT
cana-526	66	26	and	and	CCONJ
cana-526	66	27	r	r	NOUN
cana-526	66	28	represent	represent	VERB
cana-526	66	29	the	the	DET
cana-526	66	30	left	left	ADJ
cana-526	66	31	,	,	PUNCT
cana-526	66	32	middle	middle	ADJ
cana-526	66	33	,	,	PUNCT
cana-526	66	34	and	and	CCONJ
cana-526	66	35	right	right	ADJ
cana-526	66	36	membership	membership	NOUN
cana-526	66	37	degrees	degree	NOUN
cana-526	66	38	,	,	PUNCT
cana-526	66	39	respectively	respectively	ADV
cana-526	66	40	.	.	PUNCT
cana-526	67	1	these	these	DET
cana-526	67	2	membership	membership	NOUN
cana-526	67	3	degrees	degree	NOUN
cana-526	67	4	are	be	AUX
cana-526	67	5	assigned	assign	VERB
cana-526	67	6	to	to	ADP
cana-526	67	7	the	the	DET
cana-526	67	8	values	value	NOUN
cana-526	67	9	within	within	ADP
cana-526	67	10	a	a	DET
cana-526	67	11	specific	specific	ADJ
cana-526	67	12	interval	interval	NOUN
cana-526	67	13	,	,	PUNCT
cana-526	67	14	indicating	indicate	VERB
cana-526	67	15	the	the	DET
cana-526	67	16	degree	degree	NOUN
cana-526	67	17	of	of	ADP
cana-526	67	18	membership	membership	NOUN
cana-526	67	19	of	of	ADP
cana-526	67	20	each	each	DET
cana-526	67	21	value	value	NOUN
cana-526	67	22	.	.	PUNCT
cana-526	68	1	the	the	DET
cana-526	68	2	membership	membership	NOUN
cana-526	68	3	function	function	NOUN
cana-526	68	4	for	for	ADP
cana-526	68	5	pythagorean	pythagorean	ADJ
cana-526	68	6	fuzzy	fuzzy	ADJ
cana-526	68	7	numbers	number	NOUN
cana-526	68	8	is	be	AUX
cana-526	68	9	defined	define	VERB
cana-526	68	10	as	as	SCONJ
cana-526	68	11	follows	follow	VERB
cana-526	68	12	:	:	PUNCT
cana-526	68	13	for	for	ADP
cana-526	68	14	values	value	NOUN
cana-526	68	15	within	within	ADP
cana-526	68	16	the	the	DET
cana-526	68	17	interval	interval	NOUN
cana-526	68	18	[	[	X
cana-526	68	19	l	l	NOUN
cana-526	68	20	,	,	PUNCT
cana-526	68	21	m	m	PROPN
cana-526	68	22	]	]	X
cana-526	68	23	,	,	PUNCT
cana-526	68	24	the	the	DET
cana-526	68	25	membership	membership	NOUN
cana-526	68	26	degree	degree	NOUN
cana-526	68	27	linearly	linearly	ADV
cana-526	68	28	increases	increase	VERB
cana-526	68	29	from	from	ADP
cana-526	68	30	0	0	NUM
cana-526	68	31	to	to	ADP
cana-526	68	32	1	1	NUM
cana-526	68	33	.	.	PUNCT
cana-526	69	1	for	for	ADP
cana-526	69	2	values	value	NOUN
cana-526	69	3	within	within	ADP
cana-526	69	4	the	the	DET
cana-526	69	5	interval	interval	NOUN
cana-526	69	6	[	[	X
cana-526	69	7	m	m	X
cana-526	69	8	,	,	PUNCT
cana-526	69	9	r	r	X
cana-526	69	10	]	]	X
cana-526	69	11	,	,	PUNCT
cana-526	69	12	the	the	DET
cana-526	69	13	membership	membership	NOUN
cana-526	69	14	degree	degree	NOUN
cana-526	69	15	linearly	linearly	ADV
cana-526	69	16	decreases	decrease	VERB
cana-526	69	17	from	from	ADP
cana-526	69	18	1	1	NUM
cana-526	69	19	to	to	ADP
cana-526	69	20	0	0	NUM
cana-526	69	21	.	.	PUNCT
cana-526	70	1	values	value	NOUN
cana-526	70	2	outside	outside	ADP
cana-526	70	3	the	the	DET
cana-526	70	4	interval	interval	NOUN
cana-526	70	5	[	[	X
cana-526	70	6	l	l	NOUN
cana-526	70	7	,	,	PUNCT
cana-526	70	8	r	r	X
cana-526	70	9	]	]	X
cana-526	70	10	have	have	VERB
cana-526	70	11	a	a	DET
cana-526	70	12	membership	membership	NOUN
cana-526	70	13	degree	degree	NOUN
cana-526	70	14	of	of	ADP
cana-526	70	15	0	0	NUM
cana-526	70	16	.	.	PUNCT
cana-526	71	1	the	the	DET
cana-526	71	2	shape	shape	NOUN
cana-526	71	3	of	of	ADP
cana-526	71	4	the	the	DET
cana-526	71	5	membership	membership	NOUN
cana-526	71	6	function	function	NOUN
cana-526	71	7	resembles	resemble	VERB
cana-526	71	8	a	a	DET
cana-526	71	9	triangular	triangular	NOUN
cana-526	71	10	shape	shape	NOUN
cana-526	71	11	,	,	PUNCT
cana-526	71	12	where	where	SCONJ
cana-526	71	13	the	the	DET
cana-526	71	14	middle	middle	ADJ
cana-526	71	15	point	point	NOUN
cana-526	71	16	m	m	VERB
cana-526	71	17	is	be	AUX
cana-526	71	18	the	the	DET
cana-526	71	19	peak	peak	NOUN
cana-526	71	20	of	of	ADP
cana-526	71	21	the	the	DET
cana-526	71	22	membership	membership	NOUN
cana-526	71	23	function	function	NOUN
cana-526	71	24	,	,	PUNCT
cana-526	71	25	and	and	CCONJ
cana-526	71	26	the	the	DET
cana-526	71	27	left	left	ADJ
cana-526	71	28	and	and	CCONJ
cana-526	71	29	right	right	ADJ
cana-526	71	30	sides	side	NOUN
cana-526	71	31	determine	determine	VERB
cana-526	71	32	the	the	DET
cana-526	71	33	linear	linear	ADJ
cana-526	71	34	increase	increase	NOUN
cana-526	71	35	and	and	CCONJ
cana-526	71	36	decrease	decrease	NOUN
cana-526	71	37	of	of	ADP
cana-526	71	38	the	the	DET
cana-526	71	39	membership	membership	NOUN
cana-526	71	40	degree	degree	NOUN
cana-526	71	41	.	.	PUNCT
cana-526	72	1	pythagorean	pythagorean	PROPN
cana-526	72	2	fuzzy	fuzzy	ADJ
cana-526	72	3	numbers	number	NOUN
cana-526	72	4	provide	provide	VERB
cana-526	72	5	a	a	DET
cana-526	72	6	more	more	ADV
cana-526	72	7	intuitive	intuitive	ADJ
cana-526	72	8	way	way	NOUN
cana-526	72	9	to	to	PART
cana-526	72	10	represent	represent	VERB
cana-526	72	11	uncertainty	uncertainty	NOUN
cana-526	72	12	,	,	PUNCT
cana-526	72	13	as	as	SCONJ
cana-526	72	14	they	they	PRON
cana-526	72	15	allow	allow	VERB
cana-526	72	16	for	for	ADP
cana-526	72	17	the	the	DET
cana-526	72	18	expression	expression	NOUN
cana-526	72	19	of	of	ADP
cana-526	72	20	both	both	DET
cana-526	72	21	possibility	possibility	NOUN
cana-526	72	22	and	and	CCONJ
cana-526	72	23	necessity	necessity	NOUN
cana-526	72	24	.	.	PUNCT
cana-526	73	1	the	the	DET
cana-526	73	2	middle	middle	ADJ
cana-526	73	3	value	value	NOUN
cana-526	73	4	m	m	VERB
cana-526	73	5	represents	represent	VERB
cana-526	73	6	the	the	DET
cana-526	73	7	most	most	ADV
cana-526	73	8	typical	typical	ADJ
cana-526	73	9	or	or	CCONJ
cana-526	73	10	representative	representative	ADJ
cana-526	73	11	value	value	NOUN
cana-526	73	12	,	,	PUNCT
cana-526	73	13	while	while	SCONJ
cana-526	73	14	the	the	DET
cana-526	73	15	left	left	ADJ
cana-526	73	16	and	and	CCONJ
cana-526	73	17	right	right	ADJ
cana-526	73	18	values	value	NOUN
cana-526	73	19	indicate	indicate	VERB
cana-526	73	20	the	the	DET
cana-526	73	21	range	range	NOUN
cana-526	73	22	of	of	ADP
cana-526	73	23	uncertainty	uncertainty	NOUN
cana-526	73	24	or	or	CCONJ
cana-526	73	25	fuzziness	fuzziness	NOUN
cana-526	73	26	around	around	ADP
cana-526	73	27	m.	m.	NOUN
cana-526	73	28	pythagorean	pythagorean	PROPN
cana-526	73	29	fuzzy	fuzzy	ADJ
cana-526	73	30	numbers	number	NOUN
cana-526	73	31	have	have	AUX
cana-526	73	32	found	find	VERB
cana-526	73	33	applications	application	NOUN
cana-526	73	34	in	in	ADP
cana-526	73	35	decision	decision	NOUN
cana-526	73	36	-	-	PUNCT
cana-526	73	37	making	making	NOUN
cana-526	73	38	,	,	PUNCT
cana-526	73	39	expert	expert	NOUN
cana-526	73	40	systems	system	NOUN
cana-526	73	41	,	,	PUNCT
cana-526	73	42	pattern	pattern	NOUN
cana-526	73	43	recognition	recognition	NOUN
cana-526	73	44	,	,	PUNCT
cana-526	73	45	and	and	CCONJ
cana-526	73	46	other	other	ADJ
cana-526	73	47	areas	area	NOUN
cana-526	73	48	where	where	SCONJ
cana-526	73	49	uncertainty	uncertainty	NOUN
cana-526	73	50	needs	need	VERB
cana-526	73	51	to	to	PART
cana-526	73	52	be	be	AUX
cana-526	73	53	captured	capture	VERB
cana-526	73	54	and	and	CCONJ
cana-526	73	55	analyzed	analyze	VERB
cana-526	73	56	.	.	PUNCT
cana-526	74	1	their	their	PRON
cana-526	74	2	representation	representation	NOUN
cana-526	74	3	allows	allow	VERB
cana-526	74	4	for	for	ADP
cana-526	74	5	a	a	DET
cana-526	74	6	more	more	ADV
cana-526	74	7	detailed	detailed	ADJ
cana-526	74	8	and	and	CCONJ
cana-526	74	9	nuanced	nuanced	ADJ
cana-526	74	10	representation	representation	NOUN
cana-526	74	11	of	of	ADP
cana-526	74	12	uncertainty	uncertainty	NOUN
cana-526	74	13	compared	compare	VERB
cana-526	74	14	to	to	ADP
cana-526	74	15	traditional	traditional	ADJ
cana-526	74	16	fuzzy	fuzzy	ADJ
cana-526	74	17	sets	set	NOUN
cana-526	74	18	.	.	PUNCT
cana-526	75	1	here	here	ADV
cana-526	75	2	we	we	PRON
cana-526	75	3	ordered	order	VERB
cana-526	75	4	as	as	ADP
cana-526	75	5	,	,	PUNCT
cana-526	75	6	in	in	ADP
cana-526	75	7	part	part	NOUN
cana-526	75	8	2	2	NUM
cana-526	75	9	give	give	VERB
cana-526	75	10	out	out	ADP
cana-526	75	11	some	some	DET
cana-526	75	12	primary	primary	ADJ
cana-526	75	13	definitions	definition	NOUN
cana-526	75	14	.	.	PUNCT
cana-526	76	1	part	part	NOUN
cana-526	76	2	3	3	NUM
cana-526	76	3	explain	explain	VERB
cana-526	76	4	a	a	DET
cana-526	76	5	proposed	propose	VERB
cana-526	76	6	method	method	NOUN
cana-526	76	7	to	to	PART
cana-526	76	8	solve	solve	VERB
cana-526	76	9	triangular	triangular	NOUN
cana-526	76	10	pythagorean	pythagorean	ADJ
cana-526	76	11	fuzzy	fuzzy	ADJ
cana-526	76	12	assignment	assignment	NOUN
cana-526	76	13	problem	problem	NOUN
cana-526	76	14	with	with	ADP
cana-526	76	15	non	non	PRON
cana-526	76	16	negative	negative	ADJ
cana-526	76	17	constraints	constraint	NOUN
cana-526	76	18	.	.	PUNCT
cana-526	77	1	part	part	NOUN
cana-526	77	2	4	4	NUM
cana-526	77	3	gives	give	VERB
cana-526	77	4	some	some	DET
cana-526	77	5	numerical	numerical	ADJ
cana-526	77	6	examples	example	NOUN
cana-526	77	7	for	for	ADP
cana-526	77	8	both	both	CCONJ
cana-526	77	9	balanced	balanced	ADJ
cana-526	77	10	and	and	CCONJ
cana-526	77	11	unbalanced	unbalanced	ADJ
cana-526	77	12	assignment	assignment	NOUN
cana-526	77	13	problems	problem	NOUN
cana-526	77	14	.	.	PUNCT
cana-526	78	1	part	part	NOUN
cana-526	78	2	5	5	NUM
cana-526	78	3	devoted	devote	VERB
cana-526	78	4	the	the	DET
cana-526	78	5	conclusion	conclusion	NOUN
cana-526	78	6	.	.	PUNCT
cana-526	79	1	fuzzy	fuzzy	ADJ
cana-526	79	2	assignment	assignment	NOUN
cana-526	79	3	problem	problem	NOUN
cana-526	79	4	the	the	DET
cana-526	79	5	fuzzy	fuzzy	ADJ
cana-526	79	6	assignment	assignment	NOUN
cana-526	79	7	problem	problem	NOUN
cana-526	79	8	is	be	AUX
cana-526	79	9	an	an	DET
cana-526	79	10	extension	extension	NOUN
cana-526	79	11	of	of	ADP
cana-526	79	12	the	the	DET
cana-526	79	13	classical	classical	ADJ
cana-526	79	14	assignment	assignment	NOUN
cana-526	79	15	problem	problem	NOUN
cana-526	79	16	that	that	PRON
cana-526	79	17	incorporates	incorporate	VERB
cana-526	79	18	uncertainty	uncertainty	NOUN
cana-526	79	19	or	or	CCONJ
cana-526	79	20	fuzziness	fuzziness	NOUN
cana-526	79	21	in	in	ADP
cana-526	79	22	the	the	DET
cana-526	79	23	assignment	assignment	NOUN
cana-526	79	24	process	process	NOUN
cana-526	79	25	.	.	PUNCT
cana-526	80	1	in	in	ADP
cana-526	80	2	the	the	DET
cana-526	80	3	classical	classical	ADJ
cana-526	80	4	assignment	assignment	NOUN
cana-526	80	5	problem	problem	NOUN
cana-526	80	6	,	,	PUNCT
cana-526	80	7	a	a	DET
cana-526	80	8	set	set	NOUN
cana-526	80	9	of	of	ADP
cana-526	80	10	agents	agent	NOUN
cana-526	80	11	or	or	CCONJ
cana-526	80	12	workers	worker	NOUN
cana-526	80	13	needs	need	VERB
cana-526	80	14	to	to	PART
cana-526	80	15	be	be	AUX
cana-526	80	16	assigned	assign	VERB
cana-526	80	17	to	to	ADP
cana-526	80	18	a	a	DET
cana-526	80	19	set	set	NOUN
cana-526	80	20	of	of	ADP
cana-526	80	21	tasks	task	NOUN
cana-526	80	22	,	,	PUNCT
cana-526	80	23	each	each	PRON
cana-526	80	24	with	with	ADP
cana-526	80	25	a	a	DET
cana-526	80	26	certain	certain	ADJ
cana-526	80	27	communications	communication	NOUN
cana-526	80	28	on	on	ADP
cana-526	80	29	applied	apply	VERB
cana-526	80	30	nonlinear	nonlinear	ADJ
cana-526	80	31	analysis	analysis	NOUN
cana-526	80	32	issn	issn	NOUN
cana-526	80	33	:	:	PUNCT
cana-526	80	34	1074	1074	NUM
cana-526	80	35	-	-	PUNCT
cana-526	80	36	133x	133x	NUM
cana-526	80	37	vol	vol	NOUN
cana-526	80	38	31	31	NUM
cana-526	80	39	no	no	NOUN
cana-526	80	40	.	.	NOUN
cana-526	80	41	2	2	NUM
cana-526	80	42	(	(	PUNCT
cana-526	80	43	2024	2024	NUM
cana-526	80	44	)	)	PUNCT
cana-526	80	45	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	80	46	144	144	NUM
cana-526	80	47	cost	cost	NOUN
cana-526	80	48	or	or	CCONJ
cana-526	80	49	benefit	benefit	NOUN
cana-526	80	50	associated	associate	VERB
cana-526	80	51	with	with	ADP
cana-526	80	52	it	it	PRON
cana-526	80	53	.	.	PUNCT
cana-526	81	1	the	the	DET
cana-526	81	2	goal	goal	NOUN
cana-526	81	3	is	be	AUX
cana-526	81	4	to	to	PART
cana-526	81	5	find	find	VERB
cana-526	81	6	the	the	DET
cana-526	81	7	assignment	assignment	NOUN
cana-526	81	8	that	that	PRON
cana-526	81	9	minimizes	minimize	VERB
cana-526	81	10	the	the	DET
cana-526	81	11	total	total	ADJ
cana-526	81	12	cost	cost	NOUN
cana-526	81	13	or	or	CCONJ
cana-526	81	14	maximizes	maximize	VERB
cana-526	81	15	the	the	DET
cana-526	81	16	total	total	ADJ
cana-526	81	17	benefit	benefit	NOUN
cana-526	81	18	.	.	PUNCT
cana-526	82	1	in	in	ADP
cana-526	82	2	the	the	DET
cana-526	82	3	fuzzy	fuzzy	ADJ
cana-526	82	4	assignment	assignment	NOUN
cana-526	82	5	problem	problem	NOUN
cana-526	82	6	,	,	PUNCT
cana-526	82	7	instead	instead	ADV
cana-526	82	8	of	of	ADP
cana-526	82	9	having	have	VERB
cana-526	82	10	crisp	crisp	ADJ
cana-526	82	11	costs	cost	NOUN
cana-526	82	12	or	or	CCONJ
cana-526	82	13	benefits	benefit	NOUN
cana-526	82	14	associated	associate	VERB
cana-526	82	15	with	with	ADP
cana-526	82	16	each	each	DET
cana-526	82	17	assignment	assignment	NOUN
cana-526	82	18	,	,	PUNCT
cana-526	82	19	there	there	PRON
cana-526	82	20	are	be	VERB
cana-526	82	21	fuzzy	fuzzy	ADJ
cana-526	82	22	numbers	number	NOUN
cana-526	82	23	or	or	CCONJ
cana-526	82	24	fuzzy	fuzzy	ADJ
cana-526	82	25	costs	cost	NOUN
cana-526	82	26	.	.	PUNCT
cana-526	83	1	fuzzy	fuzzy	ADJ
cana-526	83	2	numbers	number	NOUN
cana-526	83	3	represent	represent	VERB
cana-526	83	4	uncertainty	uncertainty	NOUN
cana-526	83	5	or	or	CCONJ
cana-526	83	6	vagueness	vagueness	NOUN
cana-526	83	7	in	in	ADP
cana-526	83	8	the	the	DET
cana-526	83	9	values	value	NOUN
cana-526	83	10	,	,	PUNCT
cana-526	83	11	allowing	allow	VERB
cana-526	83	12	for	for	ADP
cana-526	83	13	a	a	DET
cana-526	83	14	more	more	ADV
cana-526	83	15	flexible	flexible	ADJ
cana-526	83	16	representation	representation	NOUN
cana-526	83	17	of	of	ADP
cana-526	83	18	preferences	preference	NOUN
cana-526	83	19	or	or	CCONJ
cana-526	83	20	criteria	criterion	NOUN
cana-526	83	21	.	.	PUNCT
cana-526	84	1	the	the	DET
cana-526	84	2	fuzzy	fuzzy	ADJ
cana-526	84	3	assignment	assignment	NOUN
cana-526	84	4	problem	problem	NOUN
cana-526	84	5	involves	involve	VERB
cana-526	84	6	the	the	DET
cana-526	84	7	following	follow	VERB
cana-526	84	8	steps	step	NOUN
cana-526	84	9	:	:	PUNCT
cana-526	84	10	formulating	formulate	VERB
cana-526	84	11	the	the	DET
cana-526	84	12	fuzzy	fuzzy	ADJ
cana-526	84	13	assignment	assignment	NOUN
cana-526	84	14	matrix	matrix	NOUN
cana-526	84	15	:	:	PUNCT
cana-526	84	16	create	create	VERB
cana-526	84	17	a	a	DET
cana-526	84	18	matrix	matrix	NOUN
cana-526	84	19	where	where	SCONJ
cana-526	84	20	the	the	DET
cana-526	84	21	rows	row	NOUN
cana-526	84	22	represent	represent	VERB
cana-526	84	23	agents	agent	NOUN
cana-526	84	24	and	and	CCONJ
cana-526	84	25	the	the	DET
cana-526	84	26	columns	column	NOUN
cana-526	84	27	represent	represent	VERB
cana-526	84	28	tasks	task	NOUN
cana-526	84	29	.	.	PUNCT
cana-526	85	1	each	each	DET
cana-526	85	2	element	element	NOUN
cana-526	85	3	of	of	ADP
cana-526	85	4	the	the	DET
cana-526	85	5	matrix	matrix	NOUN
cana-526	85	6	contains	contain	VERB
cana-526	85	7	a	a	DET
cana-526	85	8	fuzzy	fuzzy	ADJ
cana-526	85	9	number	number	NOUN
cana-526	85	10	representing	represent	VERB
cana-526	85	11	the	the	DET
cana-526	85	12	cost	cost	NOUN
cana-526	85	13	or	or	CCONJ
cana-526	85	14	benefit	benefit	NOUN
cana-526	85	15	of	of	ADP
cana-526	85	16	assigning	assign	VERB
cana-526	85	17	a	a	DET
cana-526	85	18	particular	particular	ADJ
cana-526	85	19	agent	agent	NOUN
cana-526	85	20	to	to	ADP
cana-526	85	21	a	a	DET
cana-526	85	22	particular	particular	ADJ
cana-526	85	23	task	task	NOUN
cana-526	85	24	.	.	PUNCT
cana-526	86	1	the	the	DET
cana-526	86	2	fuzzy	fuzzy	ADJ
cana-526	86	3	numbers	number	NOUN
cana-526	86	4	can	can	AUX
cana-526	86	5	be	be	AUX
cana-526	86	6	represented	represent	VERB
cana-526	86	7	using	use	VERB
cana-526	86	8	membership	membership	NOUN
cana-526	86	9	functions	function	NOUN
cana-526	86	10	or	or	CCONJ
cana-526	86	11	other	other	ADJ
cana-526	86	12	fuzzy	fuzzy	ADJ
cana-526	86	13	representation	representation	NOUN
cana-526	86	14	methods	method	NOUN
cana-526	86	15	.	.	PUNCT
cana-526	87	1	defining	define	VERB
cana-526	87	2	fuzzy	fuzzy	ADJ
cana-526	87	3	assignment	assignment	NOUN
cana-526	87	4	rules	rule	NOUN
cana-526	87	5	:	:	PUNCT
cana-526	87	6	specify	specify	VERB
cana-526	87	7	the	the	DET
cana-526	87	8	rules	rule	NOUN
cana-526	87	9	or	or	CCONJ
cana-526	87	10	criteria	criterion	NOUN
cana-526	87	11	for	for	ADP
cana-526	87	12	making	make	VERB
cana-526	87	13	the	the	DET
cana-526	87	14	assignments	assignment	NOUN
cana-526	87	15	based	base	VERB
cana-526	87	16	on	on	ADP
cana-526	87	17	the	the	DET
cana-526	87	18	fuzzy	fuzzy	ADJ
cana-526	87	19	numbers	number	NOUN
cana-526	87	20	.	.	PUNCT
cana-526	88	1	these	these	DET
cana-526	88	2	rules	rule	NOUN
cana-526	88	3	can	can	AUX
cana-526	88	4	be	be	AUX
cana-526	88	5	based	base	VERB
cana-526	88	6	on	on	ADP
cana-526	88	7	fuzzy	fuzzy	ADJ
cana-526	88	8	logic	logic	NOUN
cana-526	88	9	,	,	PUNCT
cana-526	88	10	fuzzy	fuzzy	ADJ
cana-526	88	11	reasoning	reasoning	NOUN
cana-526	88	12	,	,	PUNCT
cana-526	88	13	or	or	CCONJ
cana-526	88	14	other	other	ADJ
cana-526	88	15	decision	decision	NOUN
cana-526	88	16	-	-	PUNCT
cana-526	88	17	making	make	VERB
cana-526	88	18	techniques	technique	NOUN
cana-526	88	19	.	.	PUNCT
cana-526	89	1	the	the	DET
cana-526	89	2	rules	rule	NOUN
cana-526	89	3	consider	consider	VERB
cana-526	89	4	the	the	DET
cana-526	89	5	fuzzy	fuzzy	ADJ
cana-526	89	6	numbers	number	NOUN
cana-526	89	7	and	and	CCONJ
cana-526	89	8	their	their	PRON
cana-526	89	9	uncertainties	uncertainty	NOUN
cana-526	89	10	to	to	PART
cana-526	89	11	determine	determine	VERB
cana-526	89	12	the	the	DET
cana-526	89	13	best	good	ADJ
cana-526	89	14	assignments	assignment	NOUN
cana-526	89	15	.	.	PUNCT
cana-526	90	1	solving	solve	VERB
cana-526	90	2	the	the	DET
cana-526	90	3	fuzzy	fuzzy	ADJ
cana-526	90	4	assignment	assignment	NOUN
cana-526	90	5	problem	problem	NOUN
cana-526	90	6	:	:	PUNCT
cana-526	90	7	use	use	VERB
cana-526	90	8	fuzzy	fuzzy	ADJ
cana-526	90	9	optimization	optimization	NOUN
cana-526	90	10	techniques	technique	NOUN
cana-526	90	11	or	or	CCONJ
cana-526	90	12	fuzzy	fuzzy	ADJ
cana-526	90	13	decisionmaking	decisionmake	VERB
cana-526	90	14	approaches	approach	NOUN
cana-526	90	15	to	to	PART
cana-526	90	16	find	find	VERB
cana-526	90	17	the	the	DET
cana-526	90	18	optimal	optimal	ADJ
cana-526	90	19	assignments	assignment	NOUN
cana-526	90	20	that	that	PRON
cana-526	90	21	minimize	minimize	VERB
cana-526	90	22	the	the	DET
cana-526	90	23	overall	overall	ADJ
cana-526	90	24	fuzzy	fuzzy	ADJ
cana-526	90	25	cost	cost	NOUN
cana-526	90	26	or	or	CCONJ
cana-526	90	27	maximize	maximize	VERB
cana-526	90	28	the	the	DET
cana-526	90	29	fuzzy	fuzzy	ADJ
cana-526	90	30	benefit	benefit	NOUN
cana-526	90	31	.	.	PUNCT
cana-526	91	1	this	this	PRON
cana-526	91	2	may	may	AUX
cana-526	91	3	involve	involve	VERB
cana-526	91	4	aggregating	aggregate	VERB
cana-526	91	5	the	the	DET
cana-526	91	6	fuzzy	fuzzy	ADJ
cana-526	91	7	numbers	number	NOUN
cana-526	91	8	,	,	PUNCT
cana-526	91	9	performing	perform	VERB
cana-526	91	10	fuzzy	fuzzy	ADJ
cana-526	91	11	arithmetic	arithmetic	ADJ
cana-526	91	12	operations	operation	NOUN
cana-526	91	13	,	,	PUNCT
cana-526	91	14	or	or	CCONJ
cana-526	91	15	applying	apply	VERB
cana-526	91	16	fuzzy	fuzzy	ADJ
cana-526	91	17	optimization	optimization	NOUN
cana-526	91	18	algorithms	algorithm	NOUN
cana-526	91	19	to	to	PART
cana-526	91	20	handle	handle	VERB
cana-526	91	21	the	the	DET
cana-526	91	22	uncertainties	uncertainty	NOUN
cana-526	91	23	.	.	PUNCT
cana-526	92	1	interpreting	interpret	VERB
cana-526	92	2	the	the	DET
cana-526	92	3	results	result	NOUN
cana-526	92	4	:	:	PUNCT
cana-526	92	5	analyze	analyze	VERB
cana-526	92	6	and	and	CCONJ
cana-526	92	7	interpret	interpret	VERB
cana-526	92	8	the	the	DET
cana-526	92	9	obtained	obtain	VERB
cana-526	92	10	assignments	assignment	NOUN
cana-526	92	11	,	,	PUNCT
cana-526	92	12	considering	consider	VERB
cana-526	92	13	the	the	DET
cana-526	92	14	uncertainties	uncertainty	NOUN
cana-526	92	15	and	and	CCONJ
cana-526	92	16	fuzziness	fuzziness	NOUN
cana-526	92	17	in	in	ADP
cana-526	92	18	the	the	DET
cana-526	92	19	problem	problem	NOUN
cana-526	92	20	.	.	PUNCT
cana-526	93	1	the	the	DET
cana-526	93	2	assignments	assignment	NOUN
cana-526	93	3	may	may	AUX
cana-526	93	4	be	be	AUX
cana-526	93	5	evaluated	evaluate	VERB
cana-526	93	6	based	base	VERB
cana-526	93	7	on	on	ADP
cana-526	93	8	their	their	PRON
cana-526	93	9	overall	overall	ADJ
cana-526	93	10	satisfaction	satisfaction	NOUN
cana-526	93	11	of	of	ADP
cana-526	93	12	the	the	DET
cana-526	93	13	fuzzy	fuzzy	ADJ
cana-526	93	14	assignment	assignment	NOUN
cana-526	93	15	rules	rule	NOUN
cana-526	93	16	and	and	CCONJ
cana-526	93	17	the	the	DET
cana-526	93	18	associated	associated	ADJ
cana-526	93	19	fuzzy	fuzzy	ADJ
cana-526	93	20	costs	cost	NOUN
cana-526	93	21	or	or	CCONJ
cana-526	93	22	benefits	benefit	NOUN
cana-526	93	23	.	.	PUNCT
cana-526	94	1	the	the	DET
cana-526	94	2	fuzzy	fuzzy	ADJ
cana-526	94	3	assignment	assignment	NOUN
cana-526	94	4	problem	problem	NOUN
cana-526	94	5	allows	allow	VERB
cana-526	94	6	for	for	ADP
cana-526	94	7	more	more	ADV
cana-526	94	8	realistic	realistic	ADJ
cana-526	94	9	modeling	modeling	NOUN
cana-526	94	10	of	of	ADP
cana-526	94	11	real	real	ADJ
cana-526	94	12	-	-	PUNCT
cana-526	94	13	world	world	NOUN
cana-526	94	14	situations	situation	NOUN
cana-526	94	15	where	where	SCONJ
cana-526	94	16	the	the	DET
cana-526	94	17	costs	cost	NOUN
cana-526	94	18	or	or	CCONJ
cana-526	94	19	benefits	benefit	NOUN
cana-526	94	20	of	of	ADP
cana-526	94	21	assignments	assignment	NOUN
cana-526	94	22	are	be	AUX
cana-526	94	23	uncertain	uncertain	ADJ
cana-526	94	24	or	or	CCONJ
cana-526	94	25	imprecise	imprecise	ADV
cana-526	94	26	.	.	PUNCT
cana-526	95	1	by	by	ADP
cana-526	95	2	incorporating	incorporate	VERB
cana-526	95	3	fuzziness	fuzziness	NOUN
cana-526	95	4	,	,	PUNCT
cana-526	95	5	it	it	PRON
cana-526	95	6	provides	provide	VERB
cana-526	95	7	a	a	DET
cana-526	95	8	more	more	ADV
cana-526	95	9	flexible	flexible	ADJ
cana-526	95	10	and	and	CCONJ
cana-526	95	11	robust	robust	ADJ
cana-526	95	12	approach	approach	NOUN
cana-526	95	13	to	to	ADP
cana-526	95	14	decision	decision	NOUN
cana-526	95	15	-	-	PUNCT
cana-526	95	16	making	make	VERB
cana-526	95	17	and	and	CCONJ
cana-526	95	18	assignment	assignment	NOUN
cana-526	95	19	optimization	optimization	NOUN
cana-526	95	20	.	.	PUNCT
cana-526	96	1	the	the	DET
cana-526	96	2	solution	solution	NOUN
cana-526	96	3	for	for	ADP
cana-526	96	4	a	a	DET
cana-526	96	5	fuzzy	fuzzy	ADJ
cana-526	96	6	assignment	assignment	NOUN
cana-526	96	7	problem	problem	NOUN
cana-526	96	8	involves	involve	VERB
cana-526	96	9	finding	find	VERB
cana-526	96	10	the	the	DET
cana-526	96	11	optimal	optimal	ADJ
cana-526	96	12	assignments	assignment	NOUN
cana-526	96	13	that	that	PRON
cana-526	96	14	minimize	minimize	VERB
cana-526	96	15	the	the	DET
cana-526	96	16	overall	overall	ADJ
cana-526	96	17	fuzzy	fuzzy	ADJ
cana-526	96	18	cost	cost	NOUN
cana-526	96	19	or	or	CCONJ
cana-526	96	20	maximize	maximize	VERB
cana-526	96	21	the	the	DET
cana-526	96	22	fuzzy	fuzzy	ADJ
cana-526	96	23	benefit	benefit	NOUN
cana-526	96	24	,	,	PUNCT
cana-526	96	25	taking	take	VERB
cana-526	96	26	into	into	ADP
cana-526	96	27	account	account	NOUN
cana-526	96	28	the	the	DET
cana-526	96	29	uncertainties	uncertainty	NOUN
cana-526	96	30	and	and	CCONJ
cana-526	96	31	fuzziness	fuzziness	NOUN
cana-526	96	32	in	in	ADP
cana-526	96	33	the	the	DET
cana-526	96	34	problem	problem	NOUN
cana-526	96	35	.	.	PUNCT
cana-526	97	1	here	here	ADV
cana-526	97	2	is	be	AUX
cana-526	97	3	a	a	DET
cana-526	97	4	general	general	ADJ
cana-526	97	5	approach	approach	NOUN
cana-526	97	6	for	for	ADP
cana-526	97	7	solving	solve	VERB
cana-526	97	8	a	a	DET
cana-526	97	9	fuzzy	fuzzy	ADJ
cana-526	97	10	assignment	assignment	NOUN
cana-526	97	11	problem	problem	NOUN
cana-526	97	12	:	:	PUNCT
cana-526	97	13	formulate	formulate	VERB
cana-526	97	14	the	the	DET
cana-526	97	15	fuzzy	fuzzy	ADJ
cana-526	97	16	assignment	assignment	NOUN
cana-526	97	17	problem	problem	NOUN
cana-526	97	18	:	:	PUNCT
cana-526	97	19	define	define	VERB
cana-526	97	20	the	the	DET
cana-526	97	21	problem	problem	NOUN
cana-526	97	22	by	by	ADP
cana-526	97	23	specifying	specify	VERB
cana-526	97	24	the	the	DET
cana-526	97	25	agents	agent	NOUN
cana-526	97	26	,	,	PUNCT
cana-526	97	27	tasks	task	NOUN
cana-526	97	28	,	,	PUNCT
cana-526	97	29	and	and	CCONJ
cana-526	97	30	the	the	DET
cana-526	97	31	fuzzy	fuzzy	ADJ
cana-526	97	32	assignment	assignment	NOUN
cana-526	97	33	matrix	matrix	NOUN
cana-526	97	34	that	that	PRON
cana-526	97	35	represents	represent	VERB
cana-526	97	36	the	the	DET
cana-526	97	37	fuzzy	fuzzy	ADJ
cana-526	97	38	costs	cost	NOUN
cana-526	97	39	or	or	CCONJ
cana-526	97	40	benefits	benefit	NOUN
cana-526	97	41	associated	associate	VERB
cana-526	97	42	with	with	ADP
cana-526	97	43	each	each	DET
cana-526	97	44	assignment	assignment	NOUN
cana-526	97	45	.	.	PUNCT
cana-526	98	1	define	define	VERB
cana-526	98	2	the	the	DET
cana-526	98	3	fuzzy	fuzzy	ADJ
cana-526	98	4	assignment	assignment	NOUN
cana-526	98	5	rules	rule	NOUN
cana-526	98	6	:	:	PUNCT
cana-526	98	7	determine	determine	VERB
cana-526	98	8	the	the	DET
cana-526	98	9	criteria	criterion	NOUN
cana-526	98	10	or	or	CCONJ
cana-526	98	11	rules	rule	NOUN
cana-526	98	12	for	for	ADP
cana-526	98	13	making	make	VERB
cana-526	98	14	the	the	DET
cana-526	98	15	assignments	assignment	NOUN
cana-526	98	16	based	base	VERB
cana-526	98	17	on	on	ADP
cana-526	98	18	the	the	DET
cana-526	98	19	fuzzy	fuzzy	ADJ
cana-526	98	20	numbers	number	NOUN
cana-526	98	21	.	.	PUNCT
cana-526	99	1	these	these	DET
cana-526	99	2	rules	rule	NOUN
cana-526	99	3	can	can	AUX
cana-526	99	4	be	be	AUX
cana-526	99	5	based	base	VERB
cana-526	99	6	on	on	ADP
cana-526	99	7	fuzzy	fuzzy	ADJ
cana-526	99	8	logic	logic	NOUN
cana-526	99	9	,	,	PUNCT
cana-526	99	10	fuzzy	fuzzy	ADJ
cana-526	99	11	reasoning	reasoning	NOUN
cana-526	99	12	,	,	PUNCT
cana-526	99	13	or	or	CCONJ
cana-526	99	14	other	other	ADJ
cana-526	99	15	decision	decision	NOUN
cana-526	99	16	-	-	PUNCT
cana-526	99	17	making	make	VERB
cana-526	99	18	techniques	technique	NOUN
cana-526	99	19	.	.	PUNCT
cana-526	100	1	consider	consider	VERB
cana-526	100	2	the	the	DET
cana-526	100	3	preferences	preference	NOUN
cana-526	100	4	,	,	PUNCT
cana-526	100	5	constraints	constraint	NOUN
cana-526	100	6	,	,	PUNCT
cana-526	100	7	and	and	CCONJ
cana-526	100	8	objectives	objective	NOUN
cana-526	100	9	of	of	ADP
cana-526	100	10	the	the	DET
cana-526	100	11	problem	problem	NOUN
cana-526	100	12	.	.	PUNCT
cana-526	101	1	fuzzify	fuzzify	VERB
cana-526	101	2	the	the	DET
cana-526	101	3	assignment	assignment	NOUN
cana-526	101	4	matrix	matrix	NOUN
cana-526	101	5	:	:	PUNCT
cana-526	101	6	convert	convert	VERB
cana-526	101	7	the	the	DET
cana-526	101	8	fuzzy	fuzzy	ADJ
cana-526	101	9	numbers	number	NOUN
cana-526	101	10	in	in	ADP
cana-526	101	11	the	the	DET
cana-526	101	12	assignment	assignment	NOUN
cana-526	101	13	matrix	matrix	NOUN
cana-526	101	14	into	into	ADP
cana-526	101	15	fuzzy	fuzzy	ADJ
cana-526	101	16	sets	set	NOUN
cana-526	101	17	using	use	VERB
cana-526	101	18	appropriate	appropriate	ADJ
cana-526	101	19	membership	membership	NOUN
cana-526	101	20	functions	function	NOUN
cana-526	101	21	.	.	PUNCT
cana-526	102	1	this	this	DET
cana-526	102	2	step	step	NOUN
cana-526	102	3	involves	involve	VERB
cana-526	102	4	assigning	assign	VERB
cana-526	102	5	membership	membership	NOUN
cana-526	102	6	degrees	degree	NOUN
cana-526	102	7	to	to	ADP
cana-526	102	8	each	each	DET
cana-526	102	9	fuzzy	fuzzy	ADJ
cana-526	102	10	number	number	NOUN
cana-526	102	11	based	base	VERB
cana-526	102	12	on	on	ADP
cana-526	102	13	the	the	DET
cana-526	102	14	assigned	assign	VERB
cana-526	102	15	fuzzy	fuzzy	ADJ
cana-526	102	16	set	set	NOUN
cana-526	102	17	.	.	PUNCT
cana-526	103	1	apply	apply	VERB
cana-526	103	2	fuzzy	fuzzy	ADJ
cana-526	103	3	optimization	optimization	NOUN
cana-526	103	4	techniques	technique	NOUN
cana-526	103	5	:	:	PUNCT
cana-526	103	6	use	use	VERB
cana-526	103	7	fuzzy	fuzzy	ADJ
cana-526	103	8	optimization	optimization	NOUN
cana-526	103	9	approaches	approach	NOUN
cana-526	103	10	to	to	PART
cana-526	103	11	find	find	VERB
cana-526	103	12	the	the	DET
cana-526	103	13	optimal	optimal	ADJ
cana-526	103	14	assignments	assignment	NOUN
cana-526	103	15	that	that	PRON
cana-526	103	16	satisfy	satisfy	VERB
cana-526	103	17	the	the	DET
cana-526	103	18	fuzzy	fuzzy	ADJ
cana-526	103	19	assignment	assignment	NOUN
cana-526	103	20	rules	rule	NOUN
cana-526	103	21	.	.	PUNCT
cana-526	104	1	this	this	PRON
cana-526	104	2	may	may	AUX
cana-526	104	3	involve	involve	VERB
cana-526	104	4	aggregating	aggregate	VERB
cana-526	104	5	the	the	DET
cana-526	104	6	fuzzy	fuzzy	ADJ
cana-526	104	7	numbers	number	NOUN
cana-526	104	8	,	,	PUNCT
cana-526	104	9	performing	perform	VERB
cana-526	104	10	fuzzy	fuzzy	ADJ
cana-526	104	11	arithmetic	arithmetic	ADJ
cana-526	104	12	operations	operation	NOUN
cana-526	104	13	,	,	PUNCT
cana-526	104	14	or	or	CCONJ
cana-526	104	15	applying	apply	VERB
cana-526	104	16	fuzzy	fuzzy	ADJ
cana-526	104	17	optimization	optimization	NOUN
cana-526	104	18	algorithms	algorithm	NOUN
cana-526	104	19	.	.	PUNCT
cana-526	105	1	communications	communication	NOUN
cana-526	105	2	on	on	ADP
cana-526	105	3	applied	apply	VERB
cana-526	105	4	nonlinear	nonlinear	ADJ
cana-526	105	5	analysis	analysis	NOUN
cana-526	105	6	issn	issn	NOUN
cana-526	105	7	:	:	PUNCT
cana-526	105	8	1074	1074	NUM
cana-526	105	9	-	-	PUNCT
cana-526	105	10	133x	133x	NUM
cana-526	105	11	vol	vol	NOUN
cana-526	105	12	31	31	NUM
cana-526	105	13	no	no	NOUN
cana-526	105	14	.	.	NOUN
cana-526	105	15	2	2	NUM
cana-526	105	16	(	(	PUNCT
cana-526	105	17	2024	2024	NUM
cana-526	105	18	)	)	PUNCT
cana-526	105	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	105	20	145	145	NUM
cana-526	105	21	defuzzify	defuzzify	VERB
cana-526	105	22	the	the	DET
cana-526	105	23	solutions	solution	NOUN
cana-526	105	24	:	:	PUNCT
cana-526	105	25	convert	convert	VERB
cana-526	105	26	the	the	DET
cana-526	105	27	fuzzy	fuzzy	ADJ
cana-526	105	28	solutions	solution	NOUN
cana-526	105	29	into	into	ADP
cana-526	105	30	crisp	crisp	ADJ
cana-526	105	31	assignments	assignment	NOUN
cana-526	105	32	by	by	ADP
cana-526	105	33	applying	apply	VERB
cana-526	105	34	a	a	DET
cana-526	105	35	defuzzification	defuzzification	NOUN
cana-526	105	36	process	process	NOUN
cana-526	105	37	.	.	PUNCT
cana-526	106	1	this	this	DET
cana-526	106	2	process	process	NOUN
cana-526	106	3	involves	involve	VERB
cana-526	106	4	summarizing	summarize	VERB
cana-526	106	5	the	the	DET
cana-526	106	6	fuzzy	fuzzy	ADJ
cana-526	106	7	information	information	NOUN
cana-526	106	8	and	and	CCONJ
cana-526	106	9	obtaining	obtain	VERB
cana-526	106	10	a	a	DET
cana-526	106	11	crisp	crisp	ADJ
cana-526	106	12	result	result	NOUN
cana-526	106	13	.	.	PUNCT
cana-526	107	1	evaluate	evaluate	VERB
cana-526	107	2	the	the	DET
cana-526	107	3	solutions	solution	NOUN
cana-526	107	4	:	:	PUNCT
cana-526	107	5	assess	assess	VERB
cana-526	107	6	the	the	DET
cana-526	107	7	quality	quality	NOUN
cana-526	107	8	of	of	ADP
cana-526	107	9	the	the	DET
cana-526	107	10	obtained	obtain	VERB
cana-526	107	11	assignments	assignment	NOUN
cana-526	107	12	based	base	VERB
cana-526	107	13	on	on	ADP
cana-526	107	14	the	the	DET
cana-526	107	15	overall	overall	ADJ
cana-526	107	16	satisfaction	satisfaction	NOUN
cana-526	107	17	of	of	ADP
cana-526	107	18	the	the	DET
cana-526	107	19	fuzzy	fuzzy	ADJ
cana-526	107	20	assignment	assignment	NOUN
cana-526	107	21	rules	rule	NOUN
cana-526	107	22	and	and	CCONJ
cana-526	107	23	the	the	DET
cana-526	107	24	associated	associated	ADJ
cana-526	107	25	fuzzy	fuzzy	ADJ
cana-526	107	26	costs	cost	NOUN
cana-526	107	27	or	or	CCONJ
cana-526	107	28	benefits	benefit	NOUN
cana-526	107	29	.	.	PUNCT
cana-526	108	1	analyze	analyze	VERB
cana-526	108	2	the	the	DET
cana-526	108	3	trade	trade	NOUN
cana-526	108	4	-	-	PUNCT
cana-526	108	5	offs	off	NOUN
cana-526	108	6	between	between	ADP
cana-526	108	7	different	different	ADJ
cana-526	108	8	assignments	assignment	NOUN
cana-526	108	9	and	and	CCONJ
cana-526	108	10	consider	consider	VERB
cana-526	108	11	the	the	DET
cana-526	108	12	uncertainties	uncertainty	NOUN
cana-526	108	13	and	and	CCONJ
cana-526	108	14	fuzziness	fuzziness	NOUN
cana-526	108	15	in	in	ADP
cana-526	108	16	the	the	DET
cana-526	108	17	problem	problem	NOUN
cana-526	108	18	.	.	PUNCT
cana-526	109	1	it	it	PRON
cana-526	109	2	's	be	AUX
cana-526	109	3	important	important	ADJ
cana-526	109	4	to	to	PART
cana-526	109	5	note	note	VERB
cana-526	109	6	that	that	SCONJ
cana-526	109	7	the	the	DET
cana-526	109	8	specific	specific	ADJ
cana-526	109	9	solution	solution	NOUN
cana-526	109	10	approach	approach	NOUN
cana-526	109	11	may	may	AUX
cana-526	109	12	vary	vary	VERB
cana-526	109	13	depending	depend	VERB
cana-526	109	14	on	on	ADP
cana-526	109	15	the	the	DET
cana-526	109	16	problem	problem	NOUN
cana-526	109	17	context	context	NOUN
cana-526	109	18	,	,	PUNCT
cana-526	109	19	the	the	DET
cana-526	109	20	formulation	formulation	NOUN
cana-526	109	21	of	of	ADP
cana-526	109	22	the	the	DET
cana-526	109	23	fuzzy	fuzzy	ADJ
cana-526	109	24	assignment	assignment	NOUN
cana-526	109	25	rules	rule	NOUN
cana-526	109	26	,	,	PUNCT
cana-526	109	27	and	and	CCONJ
cana-526	109	28	the	the	DET
cana-526	109	29	available	available	ADJ
cana-526	109	30	optimization	optimization	NOUN
cana-526	109	31	techniques	technique	NOUN
cana-526	109	32	.	.	PUNCT
cana-526	110	1	various	various	ADJ
cana-526	110	2	fuzzy	fuzzy	ADJ
cana-526	110	3	optimization	optimization	NOUN
cana-526	110	4	methods	method	NOUN
cana-526	110	5	,	,	PUNCT
cana-526	110	6	such	such	ADJ
cana-526	110	7	as	as	ADP
cana-526	110	8	fuzzy	fuzzy	ADJ
cana-526	110	9	linear	linear	ADJ
cana-526	110	10	programming	programming	NOUN
cana-526	110	11	,	,	PUNCT
cana-526	110	12	fuzzy	fuzzy	ADJ
cana-526	110	13	goal	goal	NOUN
cana-526	110	14	programming	programming	NOUN
cana-526	110	15	,	,	PUNCT
cana-526	110	16	or	or	CCONJ
cana-526	110	17	evolutionary	evolutionary	ADJ
cana-526	110	18	algorithms	algorithm	NOUN
cana-526	110	19	,	,	PUNCT
cana-526	110	20	can	can	AUX
cana-526	110	21	be	be	AUX
cana-526	110	22	employed	employ	VERB
cana-526	110	23	to	to	PART
cana-526	110	24	solve	solve	VERB
cana-526	110	25	fuzzy	fuzzy	ADJ
cana-526	110	26	assignment	assignment	NOUN
cana-526	110	27	problems	problem	NOUN
cana-526	110	28	.	.	PUNCT
cana-526	111	1	preliminaries	preliminary	NOUN
cana-526	111	2	definition	definition	NOUN
cana-526	111	3	1	1	NUM
cana-526	111	4	:	:	PUNCT
cana-526	112	1	[	[	X
cana-526	112	2	18	18	NUM
cana-526	112	3	]	]	PUNCT
cana-526	112	4	consider	consider	VERB
cana-526	112	5	𝒳	𝒳	PROPN
cana-526	112	6	as	as	ADP
cana-526	112	7	a	a	DET
cana-526	112	8	universal	universal	ADJ
cana-526	112	9	discourse	discourse	NOUN
cana-526	112	10	and	and	CCONJ
cana-526	112	11	a	a	DET
cana-526	112	12	pythagorean	pythagorean	ADJ
cana-526	112	13	fuzzy	fuzzy	NOUN
cana-526	112	14	set	set	VERB
cana-526	112	15	𝔙	𝔙	PROPN
cana-526	112	16	∈	∈	NOUN
cana-526	112	17	𝒳	𝒳	PROPN
cana-526	112	18	is	be	AUX
cana-526	112	19	defined	define	VERB
cana-526	112	20	as	as	ADP
cana-526	112	21	,	,	PUNCT
cana-526	112	22	𝔙	𝔙	PROPN
cana-526	112	23	=	=	SYM
cana-526	112	24	{	{	PUNCT
cana-526	112	25	(	(	PUNCT
cana-526	112	26	𝜌𝔙(𝔵	𝜌𝔙(𝔵	NOUN
cana-526	112	27	)	)	PUNCT
cana-526	112	28	,	,	PUNCT
cana-526	112	29	𝜙𝔙	𝜙𝔙	NOUN
cana-526	112	30	(	(	PUNCT
cana-526	112	31	𝔵)/𝔵	𝔵)/𝔵	PROPN
cana-526	112	32	∈	∈	PROPN
cana-526	112	33	𝒳	𝒳	PROPN
cana-526	112	34	)	)	PUNCT
cana-526	112	35	}	}	PUNCT
cana-526	112	36	here	here	ADV
cana-526	112	37	membership	membership	NOUN
cana-526	112	38	function	function	NOUN
cana-526	112	39	is	be	AUX
cana-526	112	40	denoted	denote	VERB
cana-526	112	41	as	as	ADP
cana-526	112	42	𝜌𝔙	𝜌𝔙	NOUN
cana-526	112	43	and	and	CCONJ
cana-526	112	44	a	a	DET
cana-526	112	45	non	non	ADJ
cana-526	112	46	-	-	ADJ
cana-526	112	47	membership	membership	ADJ
cana-526	112	48	function	function	NOUN
cana-526	112	49	is	be	AUX
cana-526	112	50	denoted	denote	VERB
cana-526	112	51	as	as	ADP
cana-526	112	52	𝜙𝔙	𝜙𝔙	ADJ
cana-526	112	53	respectively	respectively	ADV
cana-526	112	54	,	,	PUNCT
cana-526	112	55	where	where	SCONJ
cana-526	112	56	𝜌𝔙	𝜌𝔙	NOUN
cana-526	112	57	:	:	PUNCT
cana-526	112	58	𝒳	𝒳	PROPN
cana-526	112	59	→	→	SYM
cana-526	113	1	[	[	X
cana-526	113	2	0,1	0,1	NUM
cana-526	113	3	]	]	PUNCT
cana-526	113	4	,	,	PUNCT
cana-526	113	5	𝔵	𝔵	PROPN
cana-526	113	6	∈	∈	PROPN
cana-526	113	7	𝒳	𝒳	PROPN
cana-526	113	8	→	→	SYM
cana-526	113	9	𝜌𝔙(𝔵	𝜌𝔙(𝔵	PROPN
cana-526	113	10	)	)	PUNCT
cana-526	113	11	∈	∈	NOUN
cana-526	114	1	[	[	X
cana-526	114	2	0,1	0,1	NUM
cana-526	114	3	]	]	X
cana-526	114	4	𝜙𝔙	𝜙𝔙	ADJ
cana-526	114	5	:	:	PUNCT
cana-526	114	6	𝒳	𝒳	PROPN
cana-526	114	7	→	→	SYM
cana-526	115	1	[	[	X
cana-526	115	2	0,1	0,1	NUM
cana-526	115	3	]	]	PUNCT
cana-526	115	4	,	,	PUNCT
cana-526	115	5	𝔵	𝔵	PROPN
cana-526	115	6	∈	∈	PROPN
cana-526	115	7	𝒳	𝒳	PROPN
cana-526	115	8	→	→	SYM
cana-526	115	9	𝜙𝔙	𝜙𝔙	ADJ
cana-526	115	10	(	(	PUNCT
cana-526	115	11	𝔵	𝔵	NOUN
cana-526	115	12	)	)	PUNCT
cana-526	115	13	∈	∈	PROPN
cana-526	116	1	[	[	X
cana-526	116	2	0,1	0,1	NUM
cana-526	116	3	]	]	PUNCT
cana-526	116	4	such	such	ADJ
cana-526	116	5	that	that	SCONJ
cana-526	116	6	0	0	NUM
cana-526	116	7	≤	≤	ADJ
cana-526	116	8	𝜌𝔙	𝜌𝔙	NOUN
cana-526	116	9	2(𝔵	2(𝔵	NUM
cana-526	116	10	)	)	PUNCT
cana-526	117	1	+	+	CCONJ
cana-526	117	2	𝜙𝔙	𝜙𝔙	ADJ
cana-526	117	3	2(𝔵)≤	2(𝔵)≤	NUM
cana-526	117	4	1	1	NUM
cana-526	117	5	∀	∀	NOUN
cana-526	117	6	𝔵	𝔵	PRON
cana-526	117	7	∈	∈	NOUN
cana-526	117	8	𝒳.	𝒳.	NOUN
cana-526	117	9	moreover	moreover	ADV
cana-526	117	10	,	,	PUNCT
cana-526	117	11	∀	∀	PUNCT
cana-526	117	12	𝔵	𝔵	PRON
cana-526	117	13	∈	∈	PROPN
cana-526	117	14	𝒳	𝒳	PROPN
cana-526	117	15	,	,	PUNCT
cana-526	117	16	𝜋𝔙(𝔵	𝜋𝔙(𝔵	PROPN
cana-526	117	17	)	)	PUNCT
cana-526	117	18	=	=	PUNCT
cana-526	118	1	√1	√1	ADV
cana-526	118	2	−	−	PROPN
cana-526	118	3	𝜌𝔙2(𝔵	𝜌𝔙2(𝔵	NOUN
cana-526	118	4	)	)	PUNCT
cana-526	118	5	−	−	PROPN
cana-526	118	6	𝜙𝔙	𝜙𝔙	ADJ
cana-526	118	7	2(𝔵	2(𝔵	NUM
cana-526	118	8	)	)	PUNCT
cana-526	118	9	is	be	AUX
cana-526	118	10	known	know	VERB
cana-526	118	11	as	as	ADP
cana-526	118	12	a	a	DET
cana-526	118	13	pythagorean	pythagorean	ADJ
cana-526	118	14	fuzzy	fuzzy	ADJ
cana-526	118	15	index	index	NOUN
cana-526	118	16	or	or	CCONJ
cana-526	118	17	degree	degree	NOUN
cana-526	118	18	of	of	ADP
cana-526	118	19	hesitancy	hesitancy	NOUN
cana-526	118	20	of	of	ADP
cana-526	118	21	𝔵	𝔵	NOUN
cana-526	118	22	in	in	ADP
cana-526	118	23	𝔙.	𝔙.	PROPN
cana-526	118	24	in	in	ADP
cana-526	118	25	calculation	calculation	NOUN
cana-526	118	26	purpose	purpose	NOUN
cana-526	118	27	we	we	PRON
cana-526	118	28	consider	consider	VERB
cana-526	118	29	,	,	PUNCT
cana-526	118	30	𝛽	𝛽	NOUN
cana-526	118	31	=	=	SYM
cana-526	118	32	(	(	PUNCT
cana-526	118	33	𝜌𝛽	𝜌𝛽	NOUN
cana-526	118	34	,	,	PUNCT
cana-526	118	35	𝜙𝛽	𝜙𝛽	NOUN
cana-526	118	36	)	)	PUNCT
cana-526	118	37	is	be	AUX
cana-526	118	38	called	call	VERB
cana-526	118	39	a	a	DET
cana-526	118	40	pythagoean	pythagoean	ADJ
cana-526	118	41	fuzzy	fuzzy	ADJ
cana-526	118	42	numbers	number	NOUN
cana-526	118	43	(	(	PUNCT
cana-526	118	44	zhang	zhang	PROPN
cana-526	118	45	and	and	CCONJ
cana-526	118	46	xu	xu	PROPN
cana-526	118	47	2014	2014	NUM
cana-526	118	48	)	)	PUNCT
cana-526	118	49	,	,	PUNCT
cana-526	118	50	where	where	SCONJ
cana-526	118	51	𝜌𝛽	𝜌𝛽	X
cana-526	118	52	,	,	PUNCT
cana-526	118	53	𝜙𝛽	𝜙𝛽	ADP
cana-526	118	54	∈	∈	PROPN
cana-526	119	1	[	[	X
cana-526	119	2	0,1	0,1	NUM
cana-526	119	3	]	]	PUNCT
cana-526	119	4	,	,	PUNCT
cana-526	119	5	𝜌𝛽2	𝜌𝛽2	X
cana-526	119	6	+	+	CCONJ
cana-526	119	7	𝜙𝛽2	𝜙𝛽2	ADJ
cana-526	119	8	≤	≤	ADJ
cana-526	119	9	1	1	NUM
cana-526	119	10	and	and	CCONJ
cana-526	119	11	𝜋𝛽(𝔵	𝜋𝛽(𝔵	PUNCT
cana-526	119	12	)	)	PUNCT
cana-526	120	1	=	=	PUNCT
cana-526	120	2	√1	√1	ADV
cana-526	120	3	−	−	PROPN
cana-526	120	4	𝜌𝛽2	𝜌𝛽2	PRON
cana-526	120	5	−	−	PROPN
cana-526	120	6	𝜙𝛽	𝜙𝛽	PART
cana-526	120	7	2	2	NUM
cana-526	120	8	definition	definition	NOUN
cana-526	120	9	2	2	NUM
cana-526	120	10	[	[	PUNCT
cana-526	120	11	8	8	NUM
cana-526	120	12	]	]	PUNCT
cana-526	120	13	a	a	DET
cana-526	120	14	triangular	triangular	ADJ
cana-526	120	15	pythagorean	pythagorean	NOUN
cana-526	120	16	fuzzy	fuzzy	ADJ
cana-526	120	17	number	number	NOUN
cana-526	120	18	𝔙=	𝔙=	PROPN
cana-526	120	19	{	{	PUNCT
cana-526	120	20	(	(	PUNCT
cana-526	120	21	𝕖	𝕖	NOUN
cana-526	120	22	,	,	PUNCT
cana-526	120	23	𝕗	𝕗	NOUN
cana-526	120	24	,	,	PUNCT
cana-526	120	25	𝕘);𝓊,𝓋	𝕘);𝓊,𝓋	NOUN
cana-526	120	26	}	}	PUNCT
cana-526	120	27	is	be	AUX
cana-526	120	28	a	a	DET
cana-526	120	29	pythagorean	pythagorean	ADJ
cana-526	120	30	fuzzy	fuzzy	NOUN
cana-526	120	31	set	set	VERB
cana-526	120	32	on	on	ADP
cana-526	120	33	𝔑	𝔑	PROPN
cana-526	120	34	,	,	PUNCT
cana-526	120	35	then	then	ADV
cana-526	120	36	their	their	PRON
cana-526	120	37	(	(	PUNCT
cana-526	120	38	𝜌𝔙	𝜌𝔙	NOUN
cana-526	120	39	)	)	PUNCT
cana-526	120	40	and	and	CCONJ
cana-526	120	41	(	(	PUNCT
cana-526	120	42	𝜙𝔙	𝜙𝔙	ADJ
cana-526	120	43	)	)	PUNCT
cana-526	120	44	it	it	PRON
cana-526	120	45	is	be	AUX
cana-526	120	46	defined	define	VERB
cana-526	120	47	as	as	ADP
cana-526	120	48	𝜌𝔙(𝔵	𝜌𝔙(𝔵	NOUN
cana-526	120	49	)	)	PUNCT
cana-526	120	50	=	=	PRON
cana-526	120	51	{	{	PUNCT
cana-526	120	52	(	(	PUNCT
cana-526	120	53	𝔵−𝕖)𝓊	𝔵−𝕖)𝓊	PROPN
cana-526	120	54	𝕗−𝕖	𝕗−𝕖	PROPN
cana-526	120	55	,	,	PUNCT
cana-526	120	56	𝕖	𝕖	PROPN
cana-526	120	57	≤	≤	NOUN
cana-526	120	58	𝔵	𝔵	PRON
cana-526	120	59	≤	≤	NUM
cana-526	120	60	𝕗	𝕗	NOUN
cana-526	120	61	𝓊	𝓊	PROPN
cana-526	120	62	,	,	PUNCT
cana-526	120	63	𝔵	𝔵	X
cana-526	120	64	=	=	X
cana-526	120	65	𝕗	𝕗	NOUN
cana-526	120	66	(	(	PUNCT
cana-526	120	67	𝕘−𝔵)𝓊	𝕘−𝔵)𝓊	NOUN
cana-526	120	68	𝕘−𝕗	𝕘−𝕗	PROPN
cana-526	120	69	,	,	PUNCT
cana-526	120	70	𝕗	𝕗	NOUN
cana-526	120	71	≤	≤	NUM
cana-526	120	72	𝔵	𝔵	DET
cana-526	120	73	≤	≤	NUM
cana-526	120	74	𝕘	𝕘	DET
cana-526	120	75	0	0	NUM
cana-526	120	76	,	,	PUNCT
cana-526	120	77	𝔵	𝔵	X
cana-526	120	78	<	<	X
cana-526	120	79	𝕖	𝕖	X
cana-526	120	80	𝑜𝑟	𝑜𝑟	ADP
cana-526	120	81	𝔵	𝔵	X
cana-526	120	82	>	>	X
cana-526	120	83	𝕘	𝕘	PRON
cana-526	120	84	communications	communication	NOUN
cana-526	120	85	on	on	ADP
cana-526	120	86	applied	apply	VERB
cana-526	120	87	nonlinear	nonlinear	ADJ
cana-526	120	88	analysis	analysis	NOUN
cana-526	120	89	issn	issn	NOUN
cana-526	120	90	:	:	PUNCT
cana-526	120	91	1074	1074	NUM
cana-526	120	92	-	-	PUNCT
cana-526	120	93	133x	133x	NUM
cana-526	120	94	vol	vol	NOUN
cana-526	120	95	31	31	NUM
cana-526	120	96	no	no	NOUN
cana-526	120	97	.	.	NOUN
cana-526	120	98	2	2	NUM
cana-526	120	99	(	(	PUNCT
cana-526	120	100	2024	2024	NUM
cana-526	120	101	)	)	PUNCT
cana-526	121	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	121	2	146	146	NUM
cana-526	121	3	𝜙𝔙	𝜙𝔙	ADJ
cana-526	121	4	(	(	PUNCT
cana-526	121	5	𝔵	𝔵	NOUN
cana-526	121	6	)	)	PUNCT
cana-526	121	7	=	=	SYM
cana-526	121	8	{	{	PUNCT
cana-526	122	1	[	[	X
cana-526	122	2	𝕗−𝔵+𝓋(𝔵−𝕖	𝕗−𝔵+𝓋(𝔵−𝕖	X
cana-526	122	3	)	)	PUNCT
cana-526	122	4	]	]	PUNCT
cana-526	123	1	𝕗−𝕖	𝕗−𝕖	PROPN
cana-526	123	2	,	,	PUNCT
cana-526	123	3	𝕖	𝕖	PROPN
cana-526	123	4	≤	≤	NOUN
cana-526	123	5	𝔵	𝔵	PRON
cana-526	123	6	≤	≤	NUM
cana-526	123	7	𝕗	𝕗	NOUN
cana-526	123	8	𝓋	𝓋	NOUN
cana-526	123	9	,	,	PUNCT
cana-526	123	10	𝔵	𝔵	X
cana-526	123	11	=	=	SYM
cana-526	123	12	𝕗	𝕗	NOUN
cana-526	123	13	,	,	PUNCT
cana-526	123	14	[	[	X
cana-526	123	15	𝔵	𝔵	X
cana-526	123	16	−	−	NOUN
cana-526	123	17	𝕗	𝕗	NOUN
cana-526	123	18	+	+	CCONJ
cana-526	123	19	𝓋(𝕘	𝓋(𝕘	ADJ
cana-526	123	20	−	−	NOUN
cana-526	123	21	𝕗	𝕗	NOUN
cana-526	123	22	)	)	PUNCT
cana-526	123	23	,	,	PUNCT
cana-526	123	24	𝕗	𝕗	ADP
cana-526	123	25	<	<	X
cana-526	123	26	𝑥	𝑥	X
cana-526	123	27	≤	≤	NUM
cana-526	123	28	𝕘	𝕘	PROPN
cana-526	123	29	]	]	X
cana-526	123	30	1	1	NUM
cana-526	123	31	,	,	PUNCT
cana-526	123	32	𝔵	𝔵	X
cana-526	123	33	<	<	X
cana-526	123	34	𝕖	𝕖	X
cana-526	123	35	𝑜𝑟	𝑜𝑟	X
cana-526	123	36	𝔵	𝔵	X
cana-526	123	37	>	>	X
cana-526	123	38	𝕘	𝕘	X
cana-526	123	39	here	here	ADV
cana-526	123	40	,	,	PUNCT
cana-526	123	41	the	the	DET
cana-526	123	42	merit	merit	NOUN
cana-526	123	43	of	of	ADP
cana-526	123	44	𝓊	𝓊	PROPN
cana-526	123	45	&	&	CCONJ
cana-526	123	46	𝓋	𝓋	PROPN
cana-526	123	47	defined	define	VERB
cana-526	123	48	the	the	DET
cana-526	123	49	maximum	maximum	ADJ
cana-526	123	50	and	and	CCONJ
cana-526	123	51	minimum	minimum	NOUN
cana-526	123	52	degree	degree	NOUN
cana-526	123	53	of	of	ADP
cana-526	123	54	𝜌𝔙	𝜌𝔙	PROPN
cana-526	123	55	&	&	CCONJ
cana-526	123	56	𝜙𝔙	𝜙𝔙	PROPN
cana-526	123	57	properly	properly	ADV
cana-526	123	58	,	,	PUNCT
cana-526	123	59	like	like	ADP
cana-526	123	60	𝓊	𝓊	PRON
cana-526	123	61	∈	∈	PROPN
cana-526	124	1	[	[	X
cana-526	124	2	0,1	0,1	NUM
cana-526	124	3	]	]	PUNCT
cana-526	124	4	,	,	PUNCT
cana-526	124	5	𝓋	𝓋	PROPN
cana-526	124	6	∈	∈	PROPN
cana-526	125	1	[	[	X
cana-526	125	2	0,1	0,1	NUM
cana-526	125	3	]	]	PUNCT
cana-526	125	4	and	and	CCONJ
cana-526	125	5	0≤	0≤	NUM
cana-526	125	6	𝓊2	𝓊2	NOUN
cana-526	126	1	+	+	CCONJ
cana-526	126	2	𝓋2	𝓋2	VERB
cana-526	126	3	≤	≤	ADJ
cana-526	126	4	1	1	NUM
cana-526	126	5	.	.	PUNCT
cana-526	127	1	definition	definition	NOUN
cana-526	127	2	3	3	NUM
cana-526	127	3	considering	consider	VERB
cana-526	127	4	two	two	NUM
cana-526	127	5	triangular	triangular	ADJ
cana-526	127	6	pythagorean	pythagorean	ADJ
cana-526	127	7	fuzzy	fuzzy	ADJ
cana-526	127	8	numbers	number	NOUN
cana-526	127	9	𝔅	𝔅	NOUN
cana-526	127	10	=	=	SYM
cana-526	127	11	{	{	PUNCT
cana-526	127	12	(	(	PUNCT
cana-526	127	13	𝕖	𝕖	NOUN
cana-526	127	14	,	,	PUNCT
cana-526	127	15	𝕗	𝕗	NOUN
cana-526	127	16	,	,	PUNCT
cana-526	127	17	𝕘);(ℯ	𝕘);(ℯ	NOUN
cana-526	127	18	′	′	NOUN
cana-526	127	19	,	,	PUNCT
cana-526	127	20	𝕗	𝕗	NOUN
cana-526	127	21	,	,	PUNCT
cana-526	127	22	𝕘′	𝕘′	NOUN
cana-526	127	23	)	)	PUNCT
cana-526	127	24	}	}	PUNCT
cana-526	127	25	𝔄	𝔄	NOUN
cana-526	127	26	=	=	SYM
cana-526	127	27	{	{	PUNCT
cana-526	127	28	(	(	PUNCT
cana-526	127	29	𝒽	𝒽	NOUN
cana-526	127	30	,	,	PUNCT
cana-526	127	31	𝒾	𝒾	X
cana-526	127	32	,	,	PUNCT
cana-526	127	33	𝒿)(𝒽′	𝒿)(𝒽′	PROPN
cana-526	127	34	,	,	PUNCT
cana-526	127	35	𝒾	𝒾	PROPN
cana-526	127	36	,	,	PUNCT
cana-526	127	37	𝒿′	𝒿′	PROPN
cana-526	127	38	)	)	PUNCT
cana-526	127	39	}	}	PUNCT
cana-526	127	40	and	and	CCONJ
cana-526	127	41	𝛿	𝛿	PRON
cana-526	127	42	be	be	AUX
cana-526	127	43	any	any	DET
cana-526	127	44	real	real	ADJ
cana-526	127	45	number	number	NOUN
cana-526	127	46	.	.	PUNCT
cana-526	128	1	then	then	ADV
cana-526	128	2	we	we	PRON
cana-526	128	3	defined	define	VERB
cana-526	128	4	,	,	PUNCT
cana-526	128	5	𝔅	𝔅	PROPN
cana-526	128	6	⊕	⊕	NOUN
cana-526	128	7	𝔄	𝔄	NOUN
cana-526	128	8	=	=	SYM
cana-526	128	9	{	{	PUNCT
cana-526	128	10	(	(	PUNCT
cana-526	128	11	𝕖	𝕖	PROPN
cana-526	128	12	+	+	X
cana-526	128	13	𝒽	𝒽	X
cana-526	128	14	,	,	PUNCT
cana-526	128	15	𝕗	𝕗	NOUN
cana-526	128	16	+	+	CCONJ
cana-526	128	17	𝒾	𝒾	X
cana-526	128	18	,	,	PUNCT
cana-526	128	19	𝕘	𝕘	X
cana-526	128	20	+	+	X
cana-526	128	21	𝒿	𝒿	NOUN
cana-526	128	22	)	)	PUNCT
cana-526	128	23	;	;	PUNCT
cana-526	128	24	(	(	PUNCT
cana-526	128	25	𝕖′	𝕖′	X
cana-526	128	26	+	+	CCONJ
cana-526	128	27	𝒽′	𝒽′	PROPN
cana-526	128	28	,	,	PUNCT
cana-526	128	29	𝕗	𝕗	NOUN
cana-526	128	30	+	+	CCONJ
cana-526	128	31	𝒾	𝒾	PROPN
cana-526	128	32	,	,	PUNCT
cana-526	128	33	𝕘′+𝒿′	𝕘′+𝒿′	PROPN
cana-526	128	34	)	)	PUNCT
cana-526	128	35	}	}	PUNCT
cana-526	128	36	𝔅	𝔅	NOUN
cana-526	128	37	=	=	SYM
cana-526	128	38	{	{	PUNCT
cana-526	128	39	(	(	PUNCT
cana-526	128	40	𝕘	𝕘	PROPN
cana-526	128	41	,	,	PUNCT
cana-526	128	42	−𝕗	−𝕗	NOUN
cana-526	128	43	,	,	PUNCT
cana-526	128	44	−	−	PROPN
cana-526	128	45	𝕖);(𝕘′	𝕖);(𝕘′	PROPN
cana-526	128	46	,	,	PUNCT
cana-526	128	47	−𝕗	−𝕗	PROPN
cana-526	128	48	,	,	PUNCT
cana-526	128	49	−	−	PROPN
cana-526	128	50	𝕖′	𝕖′	NOUN
cana-526	128	51	)	)	PUNCT
cana-526	128	52	}	}	PUNCT
cana-526	128	53	𝔅⊖	𝔅⊖	PROPN
cana-526	128	54	𝔄	𝔄	NOUN
cana-526	128	55	=	=	SYM
cana-526	128	56	{	{	PUNCT
cana-526	128	57	(	(	PUNCT
cana-526	128	58	𝕖	𝕖	PROPN
cana-526	128	59	−	−	PROPN
cana-526	128	60	𝒿	𝒿	NOUN
cana-526	128	61	,	,	PUNCT
cana-526	128	62	𝕗	𝕗	NOUN
cana-526	128	63	−	−	PROPN
cana-526	128	64	𝒾	𝒾	ADP
cana-526	128	65	,	,	PUNCT
cana-526	128	66	𝕘	𝕘	PRON
cana-526	128	67	−	−	PROPN
cana-526	128	68	𝒽	𝒽	X
cana-526	128	69	)	)	PUNCT
cana-526	128	70	;	;	PUNCT
cana-526	128	71	(	(	PUNCT
cana-526	128	72	𝕖′	𝕖′	X
cana-526	128	73	−	−	PROPN
cana-526	128	74	𝒿′	𝒿′	PROPN
cana-526	128	75	,	,	PUNCT
cana-526	128	76	𝕗	𝕗	NOUN
cana-526	128	77	−	−	PROPN
cana-526	128	78	𝒾	𝒾	ADP
cana-526	128	79	,	,	PUNCT
cana-526	128	80	𝕘′-𝒽′	𝕘′-𝒽′	NOUN
cana-526	128	81	)	)	PUNCT
cana-526	128	82	}	}	PUNCT
cana-526	128	83	𝛿	𝛿	PRON
cana-526	128	84	𝔅=	𝔅=	NOUN
cana-526	128	85	{	{	PUNCT
cana-526	128	86	(	(	PUNCT
cana-526	128	87	𝛿	𝛿	PROPN
cana-526	128	88	𝕖	𝕖	PROPN
cana-526	128	89	,	,	PUNCT
cana-526	128	90	𝛿𝕗	𝛿𝕗	NOUN
cana-526	128	91	,	,	PUNCT
cana-526	128	92	𝛿𝕘	𝛿𝕘	NOUN
cana-526	128	93	)	)	PUNCT
cana-526	128	94	;	;	PUNCT
cana-526	128	95	(	(	PUNCT
cana-526	128	96	𝛿	𝛿	PRON
cana-526	128	97	𝕖ℯ	𝕖ℯ	X
cana-526	128	98	′	′	NOUN
cana-526	128	99	,	,	PUNCT
cana-526	128	100	𝛿𝕗	𝛿𝕗	INTJ
cana-526	128	101	,	,	PUNCT
cana-526	128	102	𝛿𝕘′	𝛿𝕘′	PROPN
cana-526	128	103	)	)	PUNCT
cana-526	128	104	}	}	PUNCT
cana-526	128	105	,	,	PUNCT
cana-526	128	106	𝛿	𝛿	PROPN
cana-526	128	107	>	>	X
cana-526	128	108	0	0	PUNCT
cana-526	128	109	{	{	PUNCT
cana-526	128	110	(	(	PUNCT
cana-526	128	111	𝛿𝕘	𝛿𝕘	NOUN
cana-526	128	112	,	,	PUNCT
cana-526	128	113	𝛿𝕗	𝛿𝕗	NOUN
cana-526	128	114	,	,	PUNCT
cana-526	128	115	𝛿	𝛿	PROPN
cana-526	128	116	𝕖	𝕖	NOUN
cana-526	128	117	)	)	PUNCT
cana-526	128	118	;	;	PUNCT
cana-526	128	119	(	(	PUNCT
cana-526	128	120	𝛿𝕘′	𝛿𝕘′	PROPN
cana-526	128	121	,	,	PUNCT
cana-526	128	122	𝛿𝕗	𝛿𝕗	INTJ
cana-526	128	123	,	,	PUNCT
cana-526	128	124	𝛿	𝛿	ADJ
cana-526	128	125	𝕖′	𝕖′	NOUN
cana-526	128	126	)	)	PUNCT
cana-526	128	127	}	}	PUNCT
cana-526	128	128	,	,	PUNCT
cana-526	128	129	𝛿	𝛿	PRON
cana-526	128	130	<	<	X
cana-526	128	131	0	0	NUM
cana-526	128	132	definition	definition	NOUN
cana-526	128	133	4	4	NUM
cana-526	128	134	𝔅={(𝕖	𝔅={(𝕖	VERB
cana-526	128	135	,	,	PUNCT
cana-526	128	136	𝕗	𝕗	NOUN
cana-526	128	137	,	,	PUNCT
cana-526	128	138	𝕘);(ℯ	𝕘);(ℯ	NOUN
cana-526	128	139	′	′	NOUN
cana-526	128	140	,	,	PUNCT
cana-526	128	141	𝕗	𝕗	NOUN
cana-526	128	142	,	,	PUNCT
cana-526	128	143	𝕘′	𝕘′	NOUN
cana-526	128	144	)	)	PUNCT
cana-526	128	145	}	}	PUNCT
cana-526	128	146	be	be	AUX
cana-526	128	147	a	a	DET
cana-526	128	148	triangular	triangular	ADJ
cana-526	128	149	pythagorean	pythagorean	ADJ
cana-526	128	150	non	non	ADJ
cana-526	128	151	-	-	ADJ
cana-526	128	152	negative	negative	ADJ
cana-526	128	153	fuzzy	fuzzy	ADJ
cana-526	128	154	number	number	NOUN
cana-526	128	155	,	,	PUNCT
cana-526	128	156	(	(	PUNCT
cana-526	128	157	𝔅	𝔅	NOUN
cana-526	128	158	≥	≥	NOUN
cana-526	128	159	0	0	NUM
cana-526	128	160	)	)	PUNCT
cana-526	128	161	if	if	SCONJ
cana-526	128	162	𝕖′	𝕖′	PROPN
cana-526	128	163	≥	≥	PROPN
cana-526	128	164	0	0	NUM
cana-526	128	165	.	.	PUNCT
cana-526	129	1	definition	definition	NOUN
cana-526	129	2	5	5	NUM
cana-526	130	1	[	[	X
cana-526	130	2	11	11	NUM
cana-526	130	3	]	]	X
cana-526	130	4	ranking	rank	VERB
cana-526	130	5	for	for	ADP
cana-526	130	6	triangular	triangular	ADJ
cana-526	130	7	pythagorean	pythagorean	ADJ
cana-526	130	8	fuzzy	fuzzy	ADJ
cana-526	130	9	number	number	NOUN
cana-526	130	10	𝔅=	𝔅=	NOUN
cana-526	130	11	{	{	PUNCT
cana-526	130	12	(	(	PUNCT
cana-526	130	13	𝕖	𝕖	PROPN
cana-526	130	14	,	,	PUNCT
cana-526	130	15	𝕗	𝕗	NOUN
cana-526	130	16	,	,	PUNCT
cana-526	130	17	𝕘);(ℯ	𝕘);(ℯ	NOUN
cana-526	130	18	′	′	NOUN
cana-526	130	19	,	,	PUNCT
cana-526	130	20	𝕗	𝕗	NOUN
cana-526	130	21	,	,	PUNCT
cana-526	130	22	𝕘′	𝕘′	NOUN
cana-526	130	23	)	)	PUNCT
cana-526	130	24	}	}	PUNCT
cana-526	130	25	can	can	AUX
cana-526	130	26	be	be	AUX
cana-526	130	27	stated	state	VERB
cana-526	130	28	as	as	ADP
cana-526	130	29	,	,	PUNCT
cana-526	130	30	𝔑(𝔅	𝔑(𝔅	NOUN
cana-526	130	31	)	)	PUNCT
cana-526	130	32	=	=	PUNCT
cana-526	130	33	(	(	PUNCT
cana-526	130	34	𝕖+2𝕗+𝕘)+(𝕖	𝕖+2𝕗+𝕘)+(𝕖	PROPN
cana-526	130	35	′+2𝕗+𝕘′	′+2𝕗+𝕘′	PROPN
cana-526	130	36	)	)	PUNCT
cana-526	130	37	8	8	NUM
cana-526	130	38	definition	definition	NOUN
cana-526	130	39	6	6	NUM
cana-526	130	40	consider	consider	VERB
cana-526	130	41	an	an	DET
cana-526	130	42	assignment	assignment	NOUN
cana-526	130	43	problem	problem	NOUN
cana-526	130	44	of	of	ADP
cana-526	130	45	assigning	assign	VERB
cana-526	130	46	‘	'	PUNCT
cana-526	130	47	m’workers	m’worker	NOUN
cana-526	130	48	to	to	ADP
cana-526	130	49	‘	'	PUNCT
cana-526	130	50	m	m	NOUN
cana-526	130	51	’	'	PUNCT
cana-526	130	52	work	work	NOUN
cana-526	130	53	and	and	CCONJ
cana-526	130	54	each	each	DET
cana-526	130	55	worker	worker	NOUN
cana-526	130	56	having	have	VERB
cana-526	130	57	the	the	DET
cana-526	130	58	capacity	capacity	NOUN
cana-526	130	59	of	of	ADP
cana-526	130	60	working	work	VERB
cana-526	130	61	any	any	DET
cana-526	130	62	work	work	NOUN
cana-526	130	63	at	at	ADP
cana-526	130	64	various	various	ADJ
cana-526	130	65	money	money	NOUN
cana-526	130	66	/	/	SYM
cana-526	130	67	time	time	NOUN
cana-526	130	68	period	period	NOUN
cana-526	130	69	.	.	PUNCT
cana-526	131	1	let	let	VERB
cana-526	131	2	𝒞~𝑘𝑙	𝒞~𝑘𝑙	NOUN
cana-526	131	3	be	be	AUX
cana-526	131	4	a	a	DET
cana-526	131	5	cost	cost	NOUN
cana-526	131	6	coefficient	coefficient	NOUN
cana-526	131	7	of	of	ADP
cana-526	131	8	triangular	triangular	NOUN
cana-526	131	9	pythagorean	pythagorean	ADJ
cana-526	131	10	fuzzy	fuzzy	ADJ
cana-526	131	11	number	number	NOUN
cana-526	131	12	of	of	ADP
cana-526	131	13	allocating	allocate	VERB
cana-526	131	14	the	the	DET
cana-526	131	15	thl	thl	PROPN
cana-526	131	16	work	work	NOUN
cana-526	131	17	to	to	ADP
cana-526	131	18	the	the	DET
cana-526	131	19	thk	thk	PROPN
cana-526	131	20	worker	worker	NOUN
cana-526	131	21	.	.	PUNCT
cana-526	132	1	let	let	VERB
cana-526	132	2	the	the	DET
cana-526	132	3	variable	variable	ADJ
cana-526	132	4	𝕏~𝑘𝑙serve	𝕏~𝑘𝑙serve	NOUN
cana-526	132	5	as	as	ADP
cana-526	132	6	the	the	DET
cana-526	132	7	decision	decision	NOUN
cana-526	132	8	maker	maker	NOUN
cana-526	132	9	for	for	ADP
cana-526	132	10	the	the	DET
cana-526	132	11	allocation	allocation	NOUN
cana-526	132	12	of	of	ADP
cana-526	132	13	the	the	DET
cana-526	132	14	assignment	assignment	NOUN
cana-526	132	15	.	.	PUNCT
cana-526	133	1	our	our	PRON
cana-526	133	2	objective	objective	NOUN
cana-526	133	3	is	be	AUX
cana-526	133	4	to	to	PART
cana-526	133	5	reduce	reduce	VERB
cana-526	133	6	the	the	DET
cana-526	133	7	overall	overall	ADJ
cana-526	133	8	cost	cost	NOUN
cana-526	133	9	of	of	ADP
cana-526	133	10	the	the	DET
cana-526	133	11	minimization	minimization	NOUN
cana-526	133	12	problem	problem	NOUN
cana-526	133	13	by	by	ADP
cana-526	133	14	distributing	distribute	VERB
cana-526	133	15	all	all	PRON
cana-526	133	16	of	of	ADP
cana-526	133	17	the	the	DET
cana-526	133	18	labour	labour	NOUN
cana-526	133	19	to	to	ADP
cana-526	133	20	the	the	DET
cana-526	133	21	workers	worker	NOUN
cana-526	133	22	who	who	PRON
cana-526	133	23	are	be	AUX
cana-526	133	24	available	available	ADJ
cana-526	133	25	while	while	SCONJ
cana-526	133	26	keeping	keep	VERB
cana-526	133	27	the	the	DET
cana-526	133	28	net	net	ADJ
cana-526	133	29	cost	cost	NOUN
cana-526	133	30	as	as	ADV
cana-526	133	31	low	low	ADJ
cana-526	133	32	as	as	ADP
cana-526	133	33	possible	possible	ADJ
cana-526	133	34	.	.	PUNCT
cana-526	134	1	in	in	ADP
cana-526	134	2	maximization	maximization	NOUN
cana-526	134	3	problem	problem	NOUN
cana-526	134	4	,	,	PUNCT
cana-526	134	5	we	we	PRON
cana-526	134	6	have	have	VERB
cana-526	134	7	to	to	PART
cana-526	134	8	increase	increase	VERB
cana-526	134	9	the	the	DET
cana-526	134	10	profit	profit	NOUN
cana-526	134	11	.	.	PUNCT
cana-526	135	1	in	in	ADP
cana-526	135	2	unbalanced	unbalanced	ADJ
cana-526	135	3	assignment	assignment	NOUN
cana-526	135	4	problem	problem	NOUN
cana-526	135	5	,	,	PUNCT
cana-526	135	6	this	this	DET
cana-526	135	7	condition	condition	NOUN
cana-526	135	8	holds	hold	VERB
cana-526	135	9	but	but	CCONJ
cana-526	135	10	,	,	PUNCT
cana-526	135	11	rows	row	NOUN
cana-526	135	12	and	and	CCONJ
cana-526	135	13	columns	column	NOUN
cana-526	135	14	are	be	AUX
cana-526	135	15	not	not	PART
cana-526	135	16	equal	equal	ADJ
cana-526	135	17	.	.	PUNCT
cana-526	136	1	let	let	VERB
cana-526	136	2	the	the	DET
cana-526	136	3	variable	variable	ADJ
cana-526	136	4	𝕏~𝑘𝑙serve	𝕏~𝑘𝑙serve	NOUN
cana-526	136	5	as	as	ADP
cana-526	136	6	the	the	DET
cana-526	136	7	decision	decision	NOUN
cana-526	136	8	maker	maker	NOUN
cana-526	136	9	for	for	ADP
cana-526	136	10	the	the	DET
cana-526	136	11	allocation	allocation	NOUN
cana-526	136	12	of	of	ADP
cana-526	136	13	the	the	DET
cana-526	136	14	assignment	assignment	NOUN
cana-526	136	15	.	.	PUNCT
cana-526	137	1	our	our	PRON
cana-526	137	2	objective	objective	NOUN
cana-526	137	3	is	be	AUX
cana-526	137	4	to	to	PART
cana-526	137	5	reduce	reduce	VERB
cana-526	137	6	the	the	DET
cana-526	137	7	overall	overall	ADJ
cana-526	137	8	cost	cost	NOUN
cana-526	137	9	of	of	ADP
cana-526	137	10	the	the	DET
cana-526	137	11	minimization	minimization	NOUN
cana-526	137	12	problem	problem	NOUN
cana-526	137	13	by	by	ADP
cana-526	137	14	distributing	distribute	VERB
cana-526	137	15	all	all	PRON
cana-526	137	16	of	of	ADP
cana-526	137	17	the	the	DET
cana-526	137	18	labour	labour	NOUN
cana-526	137	19	to	to	ADP
cana-526	137	20	the	the	DET
cana-526	137	21	workers	worker	NOUN
cana-526	137	22	who	who	PRON
cana-526	137	23	are	be	AUX
cana-526	137	24	available	available	ADJ
cana-526	137	25	while	while	SCONJ
cana-526	137	26	keeping	keep	VERB
cana-526	137	27	the	the	DET
cana-526	137	28	net	net	ADJ
cana-526	137	29	cost	cost	NOUN
cana-526	137	30	as	as	ADV
cana-526	137	31	low	low	ADJ
cana-526	137	32	as	as	ADP
cana-526	137	33	possible	possible	ADJ
cana-526	137	34	.	.	PUNCT
cana-526	138	1	mathematical	mathematical	ADJ
cana-526	138	2	formulation	formulation	NOUN
cana-526	138	3	of	of	ADP
cana-526	138	4	pythagorean	pythagorean	PROPN
cana-526	138	5	fuzzy	fuzzy	ADJ
cana-526	138	6	assignment	assignment	NOUN
cana-526	138	7	problem	problem	NOUN
cana-526	138	8	as	as	ADP
cana-526	138	9	,	,	PUNCT
cana-526	138	10	maximize	maximize	VERB
cana-526	138	11	/	/	SYM
cana-526	138	12	minimize	minimize	VERB
cana-526	138	13	𝒵~=	𝒵~=	PROPN
cana-526	138	14	∑	∑	ADP
cana-526	138	15	∑	∑	PART
cana-526	138	16	ℂ~𝑘𝑙𝕏	ℂ~𝑘𝑙𝕏	PROPN
cana-526	138	17	~	~	PUNCT
cana-526	138	18	𝑘𝑙	𝑘𝑙	VERB
cana-526	138	19	𝑚	𝑚	X
cana-526	138	20	𝑙=1	𝑙=1	ADP
cana-526	138	21	𝑚	𝑚	ADP
cana-526	138	22	𝑘=1	𝑘=1	PROPN
cana-526	138	23	→(1	→(1	NOUN
cana-526	138	24	)	)	PUNCT
cana-526	138	25	subject	subject	NOUN
cana-526	138	26	to	to	ADP
cana-526	138	27	∑	∑	PROPN
cana-526	138	28	𝕏~𝑘𝑙	𝕏~𝑘𝑙	PROPN
cana-526	138	29	𝑚	𝑚	X
cana-526	138	30	𝑙=1	𝑙=1	NOUN
cana-526	138	31	=	=	SYM
cana-526	138	32	1	1	NUM
cana-526	138	33	for	for	ADP
cana-526	138	34	k	k	PROPN
cana-526	138	35	=	=	SYM
cana-526	138	36	1	1	NUM
cana-526	138	37	,	,	PUNCT
cana-526	138	38	2	2	NUM
cana-526	138	39	...	...	SYM
cana-526	138	40	m	m	VERB
cana-526	138	41	∑	∑	ADV
cana-526	138	42	𝕏~𝑘𝑙	𝕏~𝑘𝑙	NOUN
cana-526	138	43	𝑚	𝑚	ADP
cana-526	138	44	𝑘=1	𝑘=1	X
cana-526	138	45	=	=	NOUN
cana-526	138	46	1	1	NUM
cana-526	138	47	for	for	ADP
cana-526	138	48	l	l	NOUN
cana-526	138	49	=	=	SYM
cana-526	138	50	1	1	NUM
cana-526	138	51	,	,	PUNCT
cana-526	138	52	2	2	NUM
cana-526	138	53	...	...	PUNCT
cana-526	138	54	m	m	VERB
cana-526	138	55	→(2	→(2	NOUN
cana-526	138	56	)	)	PUNCT
cana-526	138	57	communications	communication	NOUN
cana-526	138	58	on	on	ADP
cana-526	138	59	applied	apply	VERB
cana-526	138	60	nonlinear	nonlinear	ADJ
cana-526	138	61	analysis	analysis	NOUN
cana-526	138	62	issn	issn	NOUN
cana-526	138	63	:	:	PUNCT
cana-526	138	64	1074	1074	NUM
cana-526	138	65	-	-	PUNCT
cana-526	138	66	133x	133x	NUM
cana-526	138	67	vol	vol	NOUN
cana-526	138	68	31	31	NUM
cana-526	138	69	no	no	NOUN
cana-526	138	70	.	.	NOUN
cana-526	138	71	2	2	NUM
cana-526	138	72	(	(	PUNCT
cana-526	138	73	2024	2024	NUM
cana-526	138	74	)	)	PUNCT
cana-526	139	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	139	2	147	147	NUM
cana-526	139	3	𝕏~𝑘𝑙=	𝕏~𝑘𝑙=	NOUN
cana-526	139	4	0	0	PUNCT
cana-526	139	5	(	(	PUNCT
cana-526	139	6	or	or	CCONJ
cana-526	139	7	)	)	PUNCT
cana-526	139	8	1	1	NUM
cana-526	139	9	3	3	NUM
cana-526	139	10	methodology	methodology	NOUN
cana-526	139	11	the	the	DET
cana-526	139	12	proposed	propose	VERB
cana-526	139	13	method	method	NOUN
cana-526	139	14	is	be	AUX
cana-526	139	15	helped	help	VERB
cana-526	139	16	to	to	PART
cana-526	139	17	compute	compute	VERB
cana-526	139	18	the	the	DET
cana-526	139	19	optimum	optimum	ADJ
cana-526	139	20	result	result	NOUN
cana-526	139	21	of	of	ADP
cana-526	139	22	the	the	DET
cana-526	139	23	assignment	assignment	NOUN
cana-526	139	24	problem	problem	NOUN
cana-526	139	25	under	under	ADP
cana-526	139	26	pythagorean	pythagorean	PROPN
cana-526	139	27	fuzzy	fuzzy	ADJ
cana-526	139	28	environment	environment	NOUN
cana-526	139	29	.	.	PUNCT
cana-526	140	1	1	1	X
cana-526	140	2	.	.	X
cana-526	140	3	construct	construct	VERB
cana-526	140	4	the	the	DET
cana-526	140	5	table	table	NOUN
cana-526	140	6	of	of	ADP
cana-526	140	7	costs	cost	NOUN
cana-526	140	8	associated	associate	VERB
cana-526	140	9	with	with	ADP
cana-526	140	10	the	the	DET
cana-526	140	11	assignment	assignment	NOUN
cana-526	140	12	based	base	VERB
cana-526	140	13	on	on	ADP
cana-526	140	14	the	the	DET
cana-526	140	15	supplied	supply	VERB
cana-526	140	16	problem	problem	NOUN
cana-526	140	17	.	.	PUNCT
cana-526	141	1	2	2	X
cana-526	141	2	.	.	X
cana-526	141	3	determine	determine	VERB
cana-526	141	4	whether	whether	SCONJ
cana-526	141	5	the	the	DET
cana-526	141	6	issue	issue	NOUN
cana-526	141	7	that	that	PRON
cana-526	141	8	has	have	AUX
cana-526	141	9	been	be	AUX
cana-526	141	10	provided	provide	VERB
cana-526	141	11	is	be	AUX
cana-526	141	12	balanced	balanced	ADJ
cana-526	141	13	or	or	CCONJ
cana-526	141	14	unbalanced	unbalanced	ADJ
cana-526	141	15	.	.	PUNCT
cana-526	142	1	3	3	X
cana-526	142	2	.	.	X
cana-526	142	3	if	if	SCONJ
cana-526	142	4	the	the	DET
cana-526	142	5	situation	situation	NOUN
cana-526	142	6	that	that	PRON
cana-526	142	7	has	have	AUX
cana-526	142	8	been	be	AUX
cana-526	142	9	presented	present	VERB
cana-526	142	10	to	to	ADP
cana-526	142	11	you	you	PRON
cana-526	142	12	is	be	AUX
cana-526	142	13	imbalanced	imbalanced	ADJ
cana-526	142	14	,	,	PUNCT
cana-526	142	15	then	then	ADV
cana-526	142	16	you	you	PRON
cana-526	142	17	should	should	AUX
cana-526	142	18	introduce	introduce	VERB
cana-526	142	19	a	a	DET
cana-526	142	20	dummy	dummy	NOUN
cana-526	142	21	row	row	NOUN
cana-526	142	22	or	or	CCONJ
cana-526	142	23	column	column	NOUN
cana-526	142	24	with	with	ADP
cana-526	142	25	entries	entry	NOUN
cana-526	142	26	that	that	PRON
cana-526	142	27	have	have	VERB
cana-526	142	28	no	no	DET
cana-526	142	29	cost	cost	NOUN
cana-526	142	30	.	.	PUNCT
cana-526	143	1	4	4	X
cana-526	143	2	.	.	X
cana-526	143	3	consider	consider	VERB
cana-526	143	4	ℂ~𝑘𝑙=	ℂ~𝑘𝑙=	NOUN
cana-526	143	5	{	{	PUNCT
cana-526	143	6	(	(	PUNCT
cana-526	143	7	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	143	8	,	,	PUNCT
cana-526	143	9	1′	1′	NUM
cana-526	143	10	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	143	11	,	,	PUNCT
cana-526	143	12	2′	2′	NUM
cana-526	143	13	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	143	14	3′	3′	NUM
cana-526	143	15	)	)	PUNCT
cana-526	143	16	;	;	PUNCT
cana-526	143	17	(	(	PUNCT
cana-526	143	18	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	143	19	,	,	PUNCT
cana-526	143	20	1′′	1′′	NUM
cana-526	143	21	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	143	22	,	,	PUNCT
cana-526	143	23	2′	2′	NUM
cana-526	143	24	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	143	25	,	,	PUNCT
cana-526	143	26	3′′	3′′	NUM
cana-526	143	27	)	)	PUNCT
cana-526	143	28	}	}	PUNCT
cana-526	143	29	𝕏~𝑘𝑙=	𝕏~𝑘𝑙=	NOUN
cana-526	143	30	{	{	PUNCT
cana-526	143	31	(	(	PUNCT
cana-526	143	32	𝔭𝑘𝑙′	𝔭𝑘𝑙′	NUM
cana-526	143	33	,	,	PUNCT
cana-526	143	34	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	143	35	′	′	NUM
cana-526	143	36	,	,	PUNCT
cana-526	143	37	𝔯𝑘𝑙	𝔯𝑘𝑙	ADP
cana-526	143	38	′	′	NOUN
cana-526	143	39	)	)	PUNCT
cana-526	143	40	(	(	PUNCT
cana-526	143	41	𝔭𝑘𝑙′′	𝔭𝑘𝑙′′	NOUN
cana-526	143	42	,	,	PUNCT
cana-526	143	43	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	143	44	′	′	NOUN
cana-526	143	45	,	,	PUNCT
cana-526	143	46	𝔯𝑘𝑙′′	𝔯𝑘𝑙′′	PROPN
cana-526	143	47	)	)	PUNCT
cana-526	143	48	}	}	PUNCT
cana-526	143	49	in	in	ADP
cana-526	143	50	(	(	PUNCT
cana-526	143	51	1	1	NUM
cana-526	143	52	)	)	PUNCT
cana-526	143	53	.	.	PUNCT
cana-526	144	1	where	where	SCONJ
cana-526	144	2	ℂ~𝑘𝑙	ℂ~𝑘𝑙	NOUN
cana-526	144	3	,	,	PUNCT
cana-526	144	4	𝕏~𝑘𝑙	𝕏~𝑘𝑙	NOUN
cana-526	144	5	are	be	AUX
cana-526	144	6	all	all	ADV
cana-526	144	7	triangular	triangular	ADJ
cana-526	144	8	pythagorean	pythagorean	ADJ
cana-526	144	9	fuzzy	fuzzy	ADJ
cana-526	144	10	numbers	number	NOUN
cana-526	144	11	.	.	PUNCT
cana-526	145	1	then	then	ADV
cana-526	145	2	problem	problem	NOUN
cana-526	145	3	(	(	PUNCT
cana-526	145	4	1	1	X
cana-526	145	5	)	)	PUNCT
cana-526	145	6	becomes	become	VERB
cana-526	145	7	,	,	PUNCT
cana-526	145	8	maximize	maximize	VERB
cana-526	145	9	/	/	SYM
cana-526	145	10	minimize	minimize	VERB
cana-526	145	11	𝒵~=	𝒵~=	PROPN
cana-526	145	12	∑	∑	PROPN
cana-526	145	13	∑	∑	DET
cana-526	145	14	{	{	PUNCT
cana-526	145	15	(	(	PUNCT
cana-526	145	16	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	145	17	,	,	PUNCT
cana-526	145	18	1′	1′	NUM
cana-526	145	19	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	145	20	,	,	PUNCT
cana-526	145	21	2′	2′	NUM
cana-526	145	22	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	145	23	,	,	PUNCT
cana-526	145	24	3′	3′	NUM
cana-526	145	25	)	)	PUNCT
cana-526	145	26	;	;	PUNCT
cana-526	145	27	(	(	PUNCT
cana-526	145	28	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	145	29	,	,	PUNCT
cana-526	145	30	1′′	1′′	NUM
cana-526	145	31	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	145	32	,	,	PUNCT
cana-526	145	33	2′	2′	NUM
cana-526	145	34	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	145	35	,	,	PUNCT
cana-526	145	36	3′′	3′′	NUM
cana-526	145	37	)	)	PUNCT
cana-526	145	38	}	}	PUNCT
cana-526	145	39	m	m	VERB
cana-526	146	1	l=1	l=1	NOUN
cana-526	146	2	𝑚	𝑚	ADP
cana-526	146	3	𝑘=1	𝑘=1	PRON
cana-526	146	4	{(𝔭𝑘𝑙′	{(𝔭𝑘𝑙′	PUNCT
cana-526	146	5	,	,	PUNCT
cana-526	146	6	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	146	7	′	′	NUM
cana-526	146	8	,	,	PUNCT
cana-526	146	9	𝔯𝑘𝑙	𝔯𝑘𝑙	ADP
cana-526	146	10	′	′	NOUN
cana-526	146	11	)	)	PUNCT
cana-526	146	12	(	(	PUNCT
cana-526	146	13	𝔭𝑘𝑙′′	𝔭𝑘𝑙′′	NOUN
cana-526	146	14	,	,	PUNCT
cana-526	146	15	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	146	16	′	′	NOUN
cana-526	146	17	,	,	PUNCT
cana-526	146	18	𝔯𝑘𝑙′′	𝔯𝑘𝑙′′	NOUN
cana-526	146	19	)	)	PUNCT
cana-526	146	20	}	}	PUNCT
cana-526	146	21	subject	subject	ADJ
cana-526	146	22	to	to	ADP
cana-526	146	23	∑	∑	PROPN
cana-526	146	24	{	{	PUNCT
cana-526	146	25	(	(	PUNCT
cana-526	146	26	𝔭𝑘𝑙	𝔭𝑘𝑙	NOUN
cana-526	146	27	′	′	NUM
cana-526	146	28	,	,	PUNCT
cana-526	146	29	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	146	30	′	′	NUM
cana-526	146	31	,	,	PUNCT
cana-526	146	32	𝔯𝑘𝑙	𝔯𝑘𝑙	ADP
cana-526	146	33	′	′	NOUN
cana-526	146	34	)	)	PUNCT
cana-526	146	35	(	(	PUNCT
cana-526	146	36	𝔭𝑘𝑙	𝔭𝑘𝑙	X
cana-526	147	1	′′	′′	PROPN
cana-526	147	2	,	,	PUNCT
cana-526	147	3	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	147	4	′	′	NUM
cana-526	147	5	,	,	PUNCT
cana-526	147	6	𝔯𝑘𝑙	𝔯𝑘𝑙	VERB
cana-526	147	7	′′	′′	PROPN
cana-526	147	8	)	)	PUNCT
cana-526	147	9	}	}	PUNCT
cana-526	147	10	𝑚	𝑚	X
cana-526	147	11	𝑙=1	𝑙=1	NOUN
cana-526	147	12	=	=	SYM
cana-526	147	13	1	1	NUM
cana-526	147	14	for	for	ADP
cana-526	147	15	k	k	PROPN
cana-526	147	16	=	=	SYM
cana-526	147	17	1,2,	1,2,	NUM
cana-526	147	18	...	...	PUNCT
cana-526	147	19	m	m	VERB
cana-526	147	20	∑	∑	PUNCT
cana-526	147	21	{	{	PUNCT
cana-526	147	22	(	(	PUNCT
cana-526	147	23	𝔭𝑘𝑙	𝔭𝑘𝑙	NOUN
cana-526	147	24	′	′	NUM
cana-526	147	25	,	,	PUNCT
cana-526	147	26	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	147	27	′	′	NUM
cana-526	147	28	,	,	PUNCT
cana-526	147	29	𝔯𝑘𝑙	𝔯𝑘𝑙	ADP
cana-526	147	30	′	′	NOUN
cana-526	147	31	)	)	PUNCT
cana-526	147	32	(	(	PUNCT
cana-526	147	33	𝔭𝑘𝑙	𝔭𝑘𝑙	X
cana-526	147	34	′′	′′	PROPN
cana-526	147	35	,	,	PUNCT
cana-526	147	36	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	147	37	′	′	NUM
cana-526	147	38	,	,	PUNCT
cana-526	147	39	𝔯𝑘𝑙	𝔯𝑘𝑙	VERB
cana-526	147	40	′′	′′	PROPN
cana-526	147	41	)	)	PUNCT
cana-526	147	42	}	}	PUNCT
cana-526	147	43	𝑚	𝑚	X
cana-526	147	44	𝑘=1	𝑘=1	SYM
cana-526	147	45	=	=	SYM
cana-526	147	46	1	1	NUM
cana-526	147	47	for	for	ADP
cana-526	147	48	l	l	NOUN
cana-526	147	49	=	=	SYM
cana-526	147	50	1,2	1,2	NUM
cana-526	147	51	,	,	PUNCT
cana-526	147	52	...	...	PUNCT
cana-526	148	1	m	m	VERB
cana-526	148	2	5	5	NUM
cana-526	148	3	.	.	PUNCT
cana-526	148	4	by	by	ADP
cana-526	148	5	using	use	VERB
cana-526	148	6	ranking	rank	VERB
cana-526	148	7	method	method	NOUN
cana-526	148	8	,	,	PUNCT
cana-526	148	9	then	then	ADV
cana-526	148	10	the	the	DET
cana-526	148	11	problem	problem	NOUN
cana-526	148	12	becomes	become	VERB
cana-526	148	13	,	,	PUNCT
cana-526	148	14	maximize	maximize	VERB
cana-526	148	15	/	/	SYM
cana-526	148	16	minimize	minimize	VERB
cana-526	148	17	ℝ	ℝ	PROPN
cana-526	148	18	(	(	PUNCT
cana-526	148	19	𝒵)~=ℝ(∑	𝒵)~=ℝ(∑	NOUN
cana-526	148	20	∑	∑	PRON
cana-526	148	21	{	{	PUNCT
cana-526	148	22	(	(	PUNCT
cana-526	148	23	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	148	24	,	,	PUNCT
cana-526	148	25	1′	1′	NUM
cana-526	148	26	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	148	27	,	,	PUNCT
cana-526	148	28	2′	2′	NUM
cana-526	148	29	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	148	30	,	,	PUNCT
cana-526	148	31	3′	3′	NUM
cana-526	148	32	)	)	PUNCT
cana-526	148	33	;	;	PUNCT
cana-526	148	34	(	(	PUNCT
cana-526	148	35	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	148	36	,	,	PUNCT
cana-526	148	37	1′′	1′′	NUM
cana-526	148	38	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	148	39	,	,	PUNCT
cana-526	148	40	2′	2′	NUM
cana-526	148	41	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	148	42	,	,	PUNCT
cana-526	148	43	3′′	3′′	NUM
cana-526	148	44	)	)	PUNCT
cana-526	148	45	}	}	PUNCT
cana-526	148	46	m	m	VERB
cana-526	149	1	l=1	l=1	NOUN
cana-526	149	2	𝑚	𝑚	ADP
cana-526	149	3	𝑘=1	𝑘=1	PRON
cana-526	149	4	{(𝔭𝑘𝑙′	{(𝔭𝑘𝑙′	PUNCT
cana-526	149	5	,	,	PUNCT
cana-526	149	6	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	149	7	′	′	NUM
cana-526	149	8	,	,	PUNCT
cana-526	149	9	𝔯𝑘𝑙	𝔯𝑘𝑙	ADP
cana-526	149	10	′	′	NOUN
cana-526	149	11	)	)	PUNCT
cana-526	149	12	(	(	PUNCT
cana-526	149	13	𝔭𝑘𝑙′′	𝔭𝑘𝑙′′	NOUN
cana-526	149	14	,	,	PUNCT
cana-526	149	15	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	149	16	′	′	NOUN
cana-526	149	17	,	,	PUNCT
cana-526	149	18	𝔯𝑘𝑙′′	𝔯𝑘𝑙′′	PROPN
cana-526	149	19	)	)	PUNCT
cana-526	149	20	}	}	PUNCT
cana-526	149	21	)	)	PUNCT
cana-526	149	22	∑	∑	PUNCT
cana-526	149	23	{	{	PUNCT
cana-526	149	24	(	(	PUNCT
cana-526	149	25	𝔭𝑘𝑙	𝔭𝑘𝑙	NOUN
cana-526	149	26	′	′	NUM
cana-526	149	27	,	,	PUNCT
cana-526	149	28	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	149	29	′	′	NUM
cana-526	149	30	,	,	PUNCT
cana-526	149	31	𝔯𝑘𝑙	𝔯𝑘𝑙	ADP
cana-526	149	32	′	′	NOUN
cana-526	149	33	)	)	PUNCT
cana-526	149	34	(	(	PUNCT
cana-526	149	35	𝔭𝑘𝑙	𝔭𝑘𝑙	X
cana-526	149	36	′′	′′	PROPN
cana-526	149	37	,	,	PUNCT
cana-526	149	38	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	149	39	′	′	NUM
cana-526	149	40	,	,	PUNCT
cana-526	149	41	𝔯𝑘𝑙	𝔯𝑘𝑙	VERB
cana-526	149	42	′′	′′	PROPN
cana-526	149	43	)	)	PUNCT
cana-526	149	44	}	}	PUNCT
cana-526	149	45	𝑚	𝑚	X
cana-526	149	46	𝑙=1	𝑙=1	NOUN
cana-526	149	47	=	=	SYM
cana-526	149	48	1	1	NUM
cana-526	149	49	for	for	ADP
cana-526	149	50	k	k	PROPN
cana-526	149	51	=	=	SYM
cana-526	149	52	1,2,	1,2,	NUM
cana-526	149	53	...	...	PUNCT
cana-526	149	54	m	m	VERB
cana-526	149	55	∑	∑	PUNCT
cana-526	149	56	{	{	PUNCT
cana-526	149	57	(	(	PUNCT
cana-526	149	58	𝔭𝑘𝑙	𝔭𝑘𝑙	NOUN
cana-526	149	59	′	′	NUM
cana-526	149	60	,	,	PUNCT
cana-526	149	61	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	149	62	′	′	NUM
cana-526	149	63	,	,	PUNCT
cana-526	149	64	𝔯𝑘𝑙	𝔯𝑘𝑙	ADP
cana-526	149	65	′	′	NOUN
cana-526	149	66	)	)	PUNCT
cana-526	150	1	(	(	PUNCT
cana-526	150	2	𝔭𝑘𝑙	𝔭𝑘𝑙	X
cana-526	150	3	′′	′′	PROPN
cana-526	150	4	,	,	PUNCT
cana-526	150	5	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	150	6	′	′	NUM
cana-526	150	7	,	,	PUNCT
cana-526	150	8	𝔯𝑘𝑙	𝔯𝑘𝑙	VERB
cana-526	150	9	′′	′′	PROPN
cana-526	150	10	)	)	PUNCT
cana-526	150	11	}	}	PUNCT
cana-526	150	12	𝑚	𝑚	X
cana-526	150	13	𝑘=1	𝑘=1	SYM
cana-526	150	14	=	=	SYM
cana-526	150	15	1	1	NUM
cana-526	150	16	for	for	ADP
cana-526	150	17	l	l	NOUN
cana-526	150	18	=	=	SYM
cana-526	150	19	1,2	1,2	NUM
cana-526	150	20	,	,	PUNCT
cana-526	150	21	...	...	PUNCT
cana-526	150	22	m	m	VERB
cana-526	150	23	5	5	NUM
cana-526	150	24	.	.	PUNCT
cana-526	151	1	with	with	ADP
cana-526	151	2	the	the	DET
cana-526	151	3	help	help	NOUN
cana-526	151	4	of	of	ADP
cana-526	151	5	lingo	lingo	NOUN
cana-526	151	6	software	software	NOUN
cana-526	151	7	technique	technique	NOUN
cana-526	151	8	,	,	PUNCT
cana-526	151	9	solve	solve	VERB
cana-526	151	10	the	the	DET
cana-526	151	11	crisp	crisp	ADJ
cana-526	151	12	problem	problem	NOUN
cana-526	151	13	we	we	PRON
cana-526	151	14	get	get	VERB
cana-526	151	15	the	the	DET
cana-526	151	16	values	value	NOUN
cana-526	151	17	𝕏~𝑘𝑙=	𝕏~𝑘𝑙=	NOUN
cana-526	151	18	{	{	PUNCT
cana-526	151	19	(	(	PUNCT
cana-526	151	20	𝔭𝑘𝑙′	𝔭𝑘𝑙′	NUM
cana-526	151	21	,	,	PUNCT
cana-526	151	22	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	151	23	′	′	NUM
cana-526	151	24	,	,	PUNCT
cana-526	151	25	𝔯𝑘𝑙	𝔯𝑘𝑙	ADP
cana-526	151	26	′	′	NOUN
cana-526	151	27	)	)	PUNCT
cana-526	152	1	(	(	PUNCT
cana-526	152	2	𝔭𝑘𝑙′′	𝔭𝑘𝑙′′	NOUN
cana-526	152	3	,	,	PUNCT
cana-526	152	4	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	152	5	′	′	NOUN
cana-526	152	6	,	,	PUNCT
cana-526	152	7	𝔯𝑘𝑙′′	𝔯𝑘𝑙′′	PROPN
cana-526	152	8	)	)	PUNCT
cana-526	152	9	}	}	PUNCT
cana-526	152	10	,	,	PUNCT
cana-526	152	11	for	for	ADP
cana-526	152	12	k	k	PROPN
cana-526	152	13	=	=	SYM
cana-526	152	14	1,2,	1,2,	NUM
cana-526	152	15	...	...	PUNCT
cana-526	152	16	m	m	VERB
cana-526	152	17	and	and	CCONJ
cana-526	152	18	l	l	NOUN
cana-526	152	19	=	=	SYM
cana-526	152	20	1,2	1,2	NUM
cana-526	152	21	,	,	PUNCT
cana-526	152	22	...	...	PUNCT
cana-526	152	23	m	m	VERB
cana-526	152	24	6	6	NUM
cana-526	152	25	.	.	PUNCT
cana-526	152	26	substitute	substitute	VERB
cana-526	152	27	the	the	DET
cana-526	152	28	above	above	ADJ
cana-526	152	29	values	value	NOUN
cana-526	152	30	in	in	ADP
cana-526	152	31	∑	∑	PROPN
cana-526	152	32	∑	∑	PROPN
cana-526	152	33	{	{	PUNCT
cana-526	152	34	(	(	PUNCT
cana-526	152	35	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	152	36	,	,	PUNCT
cana-526	152	37	1′	1′	NUM
cana-526	152	38	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	152	39	,	,	PUNCT
cana-526	152	40	2′	2′	NUM
cana-526	152	41	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	152	42	,	,	PUNCT
cana-526	152	43	3′	3′	NUM
cana-526	152	44	)	)	PUNCT
cana-526	152	45	;	;	PUNCT
cana-526	152	46	(	(	PUNCT
cana-526	152	47	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	152	48	,	,	PUNCT
cana-526	152	49	1′′	1′′	NUM
cana-526	152	50	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	152	51	,	,	PUNCT
cana-526	152	52	2′	2′	NUM
cana-526	152	53	𝔷𝑘𝑙	𝔷𝑘𝑙	NOUN
cana-526	152	54	,	,	PUNCT
cana-526	152	55	3′′	3′′	NUM
cana-526	152	56	)	)	PUNCT
cana-526	152	57	}	}	PUNCT
cana-526	152	58	m	m	VERB
cana-526	153	1	l=1	l=1	NOUN
cana-526	153	2	𝑚	𝑚	ADP
cana-526	153	3	𝑘=1	𝑘=1	PRON
cana-526	153	4	{(𝔭𝑘𝑙′	{(𝔭𝑘𝑙′	PUNCT
cana-526	153	5	,	,	PUNCT
cana-526	153	6	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	153	7	′	′	NUM
cana-526	153	8	,	,	PUNCT
cana-526	153	9	𝔯𝑘𝑙	𝔯𝑘𝑙	ADP
cana-526	153	10	′	′	NOUN
cana-526	153	11	)	)	PUNCT
cana-526	153	12	(	(	PUNCT
cana-526	153	13	𝔭𝑘𝑙′′	𝔭𝑘𝑙′′	NOUN
cana-526	153	14	,	,	PUNCT
cana-526	153	15	𝔮𝑘𝑙	𝔮𝑘𝑙	PROPN
cana-526	153	16	′	′	NOUN
cana-526	153	17	,	,	PUNCT
cana-526	153	18	𝔯𝑘𝑙′′	𝔯𝑘𝑙′′	PROPN
cana-526	153	19	)	)	PUNCT
cana-526	153	20	}	}	PUNCT
cana-526	153	21	,	,	PUNCT
cana-526	153	22	we	we	PRON
cana-526	153	23	can	can	AUX
cana-526	153	24	find	find	VERB
cana-526	153	25	the	the	DET
cana-526	153	26	optimal	optimal	ADJ
cana-526	153	27	solution	solution	NOUN
cana-526	153	28	and	and	CCONJ
cana-526	153	29	the	the	DET
cana-526	153	30	allocation	allocation	NOUN
cana-526	153	31	of	of	ADP
cana-526	153	32	the	the	DET
cana-526	153	33	pythagorean	pythagorean	PROPN
cana-526	153	34	fuzzy	fuzzy	ADJ
cana-526	153	35	assignment	assignment	NOUN
cana-526	153	36	problem	problem	NOUN
cana-526	153	37	.	.	PUNCT
cana-526	154	1	numerical	numerical	ADJ
cana-526	154	2	examples	example	NOUN
cana-526	154	3	4.1	4.1	NUM
cana-526	154	4	.	.	PUNCT
cana-526	155	1	minimization	minimization	NOUN
cana-526	155	2	pythagorean	pythagorean	PROPN
cana-526	155	3	fuzzy	fuzzy	ADJ
cana-526	155	4	assignment	assignment	NOUN
cana-526	155	5	problem	problem	NOUN
cana-526	155	6	a	a	DET
cana-526	155	7	two	two	NUM
cana-526	155	8	wheeler	wheeler	NOUN
cana-526	155	9	dealer	dealer	NOUN
cana-526	155	10	wishes	wish	VERB
cana-526	155	11	to	to	PART
cana-526	155	12	put	put	VERB
cana-526	155	13	2	2	NUM
cana-526	155	14	machines	machine	NOUN
cana-526	155	15	into	into	ADP
cana-526	155	16	2	2	NUM
cana-526	155	17	works	work	NOUN
cana-526	155	18	.	.	PUNCT
cana-526	156	1	the	the	DET
cana-526	156	2	mechanics	mechanic	NOUN
cana-526	156	3	have	have	VERB
cana-526	156	4	truly	truly	ADV
cana-526	156	5	exceptional	exceptional	ADJ
cana-526	156	6	types	type	NOUN
cana-526	156	7	of	of	ADP
cana-526	156	8	competencies	competency	NOUN
cana-526	156	9	and	and	CCONJ
cana-526	156	10	they	they	PRON
cana-526	156	11	showcase	showcase	VERB
cana-526	156	12	one	one	NUM
cana-526	156	13	of	of	ADP
cana-526	156	14	kind	kind	ADJ
cana-526	156	15	degrees	degree	NOUN
cana-526	156	16	of	of	ADP
cana-526	156	17	affectivity	affectivity	NOUN
cana-526	156	18	from	from	ADP
cana-526	156	19	one	one	NUM
cana-526	156	20	job	job	NOUN
cana-526	156	21	to	to	ADP
cana-526	156	22	another	another	PRON
cana-526	156	23	.	.	PUNCT
cana-526	157	1	the	the	DET
cana-526	157	2	supplier	supplier	NOUN
cana-526	157	3	has	have	AUX
cana-526	157	4	estimated	estimate	VERB
cana-526	157	5	the	the	DET
cana-526	157	6	wide	wide	ADJ
cana-526	157	7	variety	variety	NOUN
cana-526	157	8	of	of	ADP
cana-526	157	9	manhours	manhour	NOUN
cana-526	157	10	that	that	PRON
cana-526	157	11	would	would	AUX
cana-526	157	12	be	be	AUX
cana-526	157	13	required	require	VERB
cana-526	157	14	for	for	ADP
cana-526	157	15	every	every	DET
cana-526	157	16	job	job	NOUN
cana-526	157	17	-	-	PUNCT
cana-526	157	18	man	man	NOUN
cana-526	157	19	combination	combination	NOUN
cana-526	157	20	.	.	PUNCT
cana-526	158	1	from	from	ADP
cana-526	158	2	the	the	DET
cana-526	158	3	following	follow	VERB
cana-526	158	4	desk	desk	NOUN
cana-526	158	5	locate	locate	VERB
cana-526	158	6	the	the	DET
cana-526	158	7	greatest	great	ADJ
cana-526	158	8	venture	venture	NOUN
cana-526	158	9	that	that	PRON
cana-526	158	10	will	will	AUX
cana-526	158	11	end	end	VERB
cana-526	158	12	result	result	NOUN
cana-526	158	13	in	in	ADP
cana-526	158	14	minimal	minimal	ADJ
cana-526	158	15	man	man	NOUN
cana-526	158	16	-	-	PUNCT
cana-526	158	17	hours	hour	NOUN
cana-526	158	18	needed	need	VERB
cana-526	158	19	.	.	PUNCT
cana-526	159	1	communications	communication	NOUN
cana-526	159	2	on	on	ADP
cana-526	159	3	applied	apply	VERB
cana-526	159	4	nonlinear	nonlinear	ADJ
cana-526	159	5	analysis	analysis	NOUN
cana-526	159	6	issn	issn	NOUN
cana-526	159	7	:	:	PUNCT
cana-526	159	8	1074	1074	NUM
cana-526	159	9	-	-	PUNCT
cana-526	159	10	133x	133x	NUM
cana-526	159	11	vol	vol	NOUN
cana-526	159	12	31	31	NUM
cana-526	159	13	no	no	NOUN
cana-526	159	14	.	.	NOUN
cana-526	159	15	2	2	NUM
cana-526	159	16	(	(	PUNCT
cana-526	159	17	2024	2024	NUM
cana-526	159	18	)	)	PUNCT
cana-526	159	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	159	20	148	148	NUM
cana-526	159	21	𝒥1	𝒥1	NOUN
cana-526	159	22	𝒥2	𝒥2	NOUN
cana-526	159	23	ℳ1	ℳ1	PROPN
cana-526	159	24	(	(	PUNCT
cana-526	159	25	3,5,9)(1,5,11	3,5,9)(1,5,11	NUM
cana-526	159	26	)	)	PUNCT
cana-526	159	27	(	(	PUNCT
cana-526	159	28	5,7,10)(3,7,12	5,7,10)(3,7,12	NUM
cana-526	159	29	)	)	PUNCT
cana-526	159	30	ℳ2	ℳ2	PROPN
cana-526	159	31	(	(	PUNCT
cana-526	159	32	4,7,11)(2,7,13	4,7,11)(2,7,13	NUM
cana-526	159	33	)	)	PUNCT
cana-526	159	34	(	(	PUNCT
cana-526	159	35	5,8,10)(3,8,12	5,8,10)(3,8,12	NUM
cana-526	159	36	)	)	PUNCT
cana-526	159	37	where	where	SCONJ
cana-526	159	38	the	the	DET
cana-526	159	39	time	time	NOUN
cana-526	159	40	entries	entry	NOUN
cana-526	159	41	are	be	AUX
cana-526	159	42	in	in	ADP
cana-526	159	43	triangular	triangular	NOUN
cana-526	159	44	pythagorean	pythagorean	ADJ
cana-526	159	45	fuzzy	fuzzy	ADJ
cana-526	159	46	number	number	NOUN
cana-526	159	47	solution	solution	NOUN
cana-526	159	48	1	1	NUM
cana-526	159	49	let	let	VERB
cana-526	159	50	𝒳~	𝒳~	VERB
cana-526	159	51	11=	11=	NUM
cana-526	159	52	{	{	PUNCT
cana-526	159	53	(	(	PUNCT
cana-526	159	54	𝔭11′	𝔭11′	NOUN
cana-526	159	55	,	,	PUNCT
cana-526	159	56	𝔮11	𝔮11	ADJ
cana-526	159	57	′	′	NOUN
cana-526	159	58	,	,	PUNCT
cana-526	159	59	𝔯11	𝔯11	NOUN
cana-526	159	60	′	′	NUM
cana-526	159	61	)	)	PUNCT
cana-526	159	62	(	(	PUNCT
cana-526	159	63	𝔭11′′	𝔭11′′	NUM
cana-526	159	64	,	,	PUNCT
cana-526	159	65	𝔮11	𝔮11	ADJ
cana-526	159	66	′	′	NUM
cana-526	159	67	,	,	PUNCT
cana-526	159	68	𝔯11′′	𝔯11′′	NUM
cana-526	159	69	)	)	PUNCT
cana-526	159	70	}	}	PUNCT
cana-526	159	71	𝒳~	𝒳~	VERB
cana-526	159	72	12	12	NUM
cana-526	159	73	=	=	SYM
cana-526	159	74	{	{	PUNCT
cana-526	159	75	(	(	PUNCT
cana-526	159	76	𝔭12′	𝔭12′	X
cana-526	159	77	,	,	PUNCT
cana-526	159	78	𝔮12	𝔮12	NOUN
cana-526	159	79	′	′	NOUN
cana-526	159	80	,	,	PUNCT
cana-526	159	81	𝔯12	𝔯12	PROPN
cana-526	159	82	′	′	NUM
cana-526	159	83	)	)	PUNCT
cana-526	160	1	(	(	PUNCT
cana-526	160	2	𝔭12′′	𝔭12′′	NUM
cana-526	160	3	,	,	PUNCT
cana-526	160	4	𝔮12	𝔮12	NOUN
cana-526	160	5	′	′	NOUN
cana-526	160	6	,	,	PUNCT
cana-526	160	7	𝔯′12′	𝔯′12′	PROPN
cana-526	160	8	)	)	PUNCT
cana-526	160	9	}	}	PUNCT
cana-526	160	10	𝒳~	𝒳~	VERB
cana-526	160	11	21	21	NUM
cana-526	160	12	=	=	SYM
cana-526	160	13	{	{	PUNCT
cana-526	160	14	(	(	PUNCT
cana-526	160	15	𝔭21′	𝔭21′	NOUN
cana-526	160	16	,	,	PUNCT
cana-526	160	17	𝔮21	𝔮21	NOUN
cana-526	160	18	′	′	NUM
cana-526	160	19	,	,	PUNCT
cana-526	160	20	𝔯21	𝔯21	NOUN
cana-526	160	21	′	′	NUM
cana-526	160	22	)	)	PUNCT
cana-526	160	23	(	(	PUNCT
cana-526	160	24	𝔭21′′	𝔭21′′	INTJ
cana-526	160	25	,	,	PUNCT
cana-526	160	26	𝔮21	𝔮21	NOUN
cana-526	160	27	′	′	NUM
cana-526	160	28	,	,	PUNCT
cana-526	160	29	𝔯21′′	𝔯21′′	PROPN
cana-526	160	30	)	)	PUNCT
cana-526	160	31	}	}	PUNCT
cana-526	160	32	→	→	SYM
cana-526	160	33	(	(	PUNCT
cana-526	160	34	𝐼	𝐼	PROPN
cana-526	160	35	)	)	PUNCT
cana-526	160	36	𝒳~	𝒳~	VERB
cana-526	160	37	22=	22=	NUM
cana-526	160	38	{	{	PUNCT
cana-526	160	39	(	(	PUNCT
cana-526	160	40	𝔭22′	𝔭22′	PROPN
cana-526	160	41	,	,	PUNCT
cana-526	160	42	𝔮22	𝔮22	NOUN
cana-526	160	43	′	′	NOUN
cana-526	160	44	,	,	PUNCT
cana-526	160	45	𝔯22	𝔯22	NOUN
cana-526	160	46	′	′	NUM
cana-526	160	47	)	)	PUNCT
cana-526	161	1	(	(	PUNCT
cana-526	161	2	𝔭′22	𝔭′22	ADJ
cana-526	161	3	′	′	NOUN
cana-526	161	4	,	,	PUNCT
cana-526	161	5	𝔮22	𝔮22	NOUN
cana-526	161	6	′	′	NOUN
cana-526	161	7	,	,	PUNCT
cana-526	162	1	𝔯′22′	𝔯′22′	PROPN
cana-526	162	2	)	)	PUNCT
cana-526	162	3	}	}	PUNCT
cana-526	162	4	then	then	ADV
cana-526	162	5	the	the	DET
cana-526	162	6	above	above	ADJ
cana-526	162	7	problem	problem	NOUN
cana-526	162	8	can	can	AUX
cana-526	162	9	be	be	AUX
cana-526	162	10	written	write	VERB
cana-526	162	11	as	as	ADP
cana-526	162	12	,	,	PUNCT
cana-526	162	13	minimize	minimize	VERB
cana-526	162	14	𝒵~	𝒵~	NUM
cana-526	162	15	=	=	SYM
cana-526	162	16	{	{	PUNCT
cana-526	162	17	(	(	PUNCT
cana-526	162	18	3	3	NUM
cana-526	162	19	,	,	PUNCT
cana-526	162	20	5	5	NUM
cana-526	162	21	,	,	PUNCT
cana-526	162	22	9	9	NUM
cana-526	162	23	)	)	PUNCT
cana-526	162	24	(	(	PUNCT
cana-526	162	25	1	1	NUM
cana-526	162	26	,	,	PUNCT
cana-526	162	27	5	5	NUM
cana-526	162	28	,	,	PUNCT
cana-526	162	29	11	11	NUM
cana-526	162	30	)	)	PUNCT
cana-526	162	31	}	}	PUNCT
cana-526	162	32	{	{	PUNCT
cana-526	162	33	(	(	PUNCT
cana-526	162	34	𝔭11′	𝔭11′	NOUN
cana-526	162	35	,	,	PUNCT
cana-526	162	36	𝔮11	𝔮11	ADJ
cana-526	162	37	′	′	NOUN
cana-526	162	38	,	,	PUNCT
cana-526	162	39	𝔯11	𝔯11	NOUN
cana-526	162	40	′	′	NUM
cana-526	162	41	)	)	PUNCT
cana-526	162	42	(	(	PUNCT
cana-526	162	43	𝔭11′′	𝔭11′′	NUM
cana-526	162	44	,	,	PUNCT
cana-526	162	45	𝔮11	𝔮11	ADJ
cana-526	162	46	′	′	NUM
cana-526	162	47	,	,	PUNCT
cana-526	162	48	𝔯11′′	𝔯11′′	NUM
cana-526	162	49	)	)	PUNCT
cana-526	162	50	}	}	PUNCT
cana-526	163	1	+	+	CCONJ
cana-526	163	2	{	{	PUNCT
cana-526	163	3	(	(	PUNCT
cana-526	163	4	5	5	NUM
cana-526	163	5	,	,	PUNCT
cana-526	163	6	7	7	NUM
cana-526	163	7	,	,	PUNCT
cana-526	163	8	10	10	NUM
cana-526	163	9	)	)	PUNCT
cana-526	163	10	(	(	PUNCT
cana-526	163	11	3	3	NUM
cana-526	163	12	,	,	PUNCT
cana-526	163	13	7	7	NUM
cana-526	163	14	,	,	PUNCT
cana-526	163	15	12	12	NUM
cana-526	163	16	)	)	PUNCT
cana-526	163	17	}	}	PUNCT
cana-526	163	18	{	{	PUNCT
cana-526	163	19	(	(	PUNCT
cana-526	163	20	𝔭12′	𝔭12′	X
cana-526	163	21	,	,	PUNCT
cana-526	163	22	𝔮12	𝔮12	NOUN
cana-526	163	23	′	′	NOUN
cana-526	163	24	,	,	PUNCT
cana-526	163	25	𝔯12	𝔯12	PROPN
cana-526	163	26	′	′	NUM
cana-526	163	27	)	)	PUNCT
cana-526	163	28	(	(	PUNCT
cana-526	163	29	𝔭12′′	𝔭12′′	NUM
cana-526	163	30	,	,	PUNCT
cana-526	163	31	𝔮12	𝔮12	NOUN
cana-526	163	32	′	′	NOUN
cana-526	163	33	,	,	PUNCT
cana-526	163	34	𝔯′12′	𝔯′12′	PROPN
cana-526	163	35	)	)	PUNCT
cana-526	163	36	}	}	PUNCT
cana-526	163	37	+	+	CCONJ
cana-526	163	38	{	{	PUNCT
cana-526	163	39	(	(	PUNCT
cana-526	163	40	4	4	NUM
cana-526	163	41	,	,	PUNCT
cana-526	163	42	7	7	NUM
cana-526	163	43	,	,	PUNCT
cana-526	163	44	11	11	NUM
cana-526	163	45	)	)	PUNCT
cana-526	163	46	(	(	PUNCT
cana-526	163	47	2	2	NUM
cana-526	163	48	,	,	PUNCT
cana-526	163	49	7	7	NUM
cana-526	163	50	,	,	PUNCT
cana-526	163	51	13	13	NUM
cana-526	163	52	)	)	PUNCT
cana-526	163	53	}	}	PUNCT
cana-526	163	54	{	{	PUNCT
cana-526	163	55	(	(	PUNCT
cana-526	163	56	𝔭21′	𝔭21′	NOUN
cana-526	163	57	,	,	PUNCT
cana-526	163	58	𝔮21	𝔮21	NOUN
cana-526	163	59	′	′	NUM
cana-526	163	60	,	,	PUNCT
cana-526	163	61	𝔯21	𝔯21	NOUN
cana-526	163	62	′	′	NUM
cana-526	163	63	)	)	PUNCT
cana-526	163	64	(	(	PUNCT
cana-526	163	65	𝔭21′′	𝔭21′′	INTJ
cana-526	163	66	,	,	PUNCT
cana-526	163	67	𝔮21	𝔮21	NOUN
cana-526	163	68	′	′	NUM
cana-526	163	69	,	,	PUNCT
cana-526	163	70	𝔯21′′	𝔯21′′	PROPN
cana-526	163	71	)	)	PUNCT
cana-526	163	72	}	}	PUNCT
cana-526	163	73	+	+	CCONJ
cana-526	163	74	{	{	PUNCT
cana-526	163	75	(	(	PUNCT
cana-526	163	76	5	5	NUM
cana-526	163	77	,	,	PUNCT
cana-526	163	78	8	8	NUM
cana-526	163	79	,	,	PUNCT
cana-526	163	80	10	10	NUM
cana-526	163	81	)	)	PUNCT
cana-526	163	82	(	(	PUNCT
cana-526	163	83	3	3	NUM
cana-526	163	84	,	,	PUNCT
cana-526	163	85	8	8	NUM
cana-526	163	86	,	,	PUNCT
cana-526	163	87	12	12	NUM
cana-526	163	88	)	)	PUNCT
cana-526	163	89	}	}	PUNCT
cana-526	163	90	{	{	PUNCT
cana-526	163	91	(	(	PUNCT
cana-526	163	92	𝔭22′	𝔭22′	PROPN
cana-526	163	93	,	,	PUNCT
cana-526	163	94	𝔮22	𝔮22	NOUN
cana-526	163	95	′	′	NOUN
cana-526	163	96	,	,	PUNCT
cana-526	163	97	𝔯22	𝔯22	NOUN
cana-526	163	98	′	′	NUM
cana-526	163	99	)	)	PUNCT
cana-526	163	100	(	(	PUNCT
cana-526	163	101	𝔭′22	𝔭′22	ADJ
cana-526	163	102	′	′	NOUN
cana-526	163	103	,	,	PUNCT
cana-526	163	104	𝔮22	𝔮22	NOUN
cana-526	163	105	′	′	NOUN
cana-526	163	106	,	,	PUNCT
cana-526	163	107	𝔯′22′	𝔯′22′	PROPN
cana-526	163	108	)	)	PUNCT
cana-526	163	109	}	}	PUNCT
cana-526	163	110	subject	subject	ADJ
cana-526	163	111	to	to	ADP
cana-526	163	112	{	{	PUNCT
cana-526	163	113	(	(	PUNCT
cana-526	163	114	𝔭11′	𝔭11′	NOUN
cana-526	163	115	,	,	PUNCT
cana-526	163	116	𝔮11	𝔮11	ADJ
cana-526	163	117	′	′	NOUN
cana-526	163	118	,	,	PUNCT
cana-526	163	119	𝔯11	𝔯11	NOUN
cana-526	163	120	′	′	NUM
cana-526	163	121	)	)	PUNCT
cana-526	163	122	(	(	PUNCT
cana-526	163	123	𝔭11′′	𝔭11′′	NUM
cana-526	163	124	,	,	PUNCT
cana-526	163	125	𝔮11	𝔮11	ADJ
cana-526	163	126	′	′	NUM
cana-526	163	127	,	,	PUNCT
cana-526	163	128	𝔯11′′	𝔯11′′	NUM
cana-526	163	129	)	)	PUNCT
cana-526	163	130	}	}	PUNCT
cana-526	163	131	+	+	CCONJ
cana-526	163	132	{	{	PUNCT
cana-526	163	133	(	(	PUNCT
cana-526	163	134	𝔭12′	𝔭12′	X
cana-526	163	135	,	,	PUNCT
cana-526	163	136	𝔮12	𝔮12	NOUN
cana-526	163	137	′	′	NOUN
cana-526	163	138	,	,	PUNCT
cana-526	163	139	𝔯12	𝔯12	PROPN
cana-526	163	140	′	′	NUM
cana-526	163	141	)	)	PUNCT
cana-526	164	1	(	(	PUNCT
cana-526	164	2	𝔭12′′	𝔭12′′	NUM
cana-526	164	3	,	,	PUNCT
cana-526	164	4	𝔮12	𝔮12	NOUN
cana-526	164	5	′	′	NOUN
cana-526	164	6	,	,	PUNCT
cana-526	164	7	𝔯′12′	𝔯′12′	PROPN
cana-526	164	8	)	)	PUNCT
cana-526	164	9	}	}	PUNCT
cana-526	164	10	=	=	SYM
cana-526	164	11	1	1	NUM
cana-526	164	12	{	{	PUNCT
cana-526	164	13	(	(	PUNCT
cana-526	164	14	𝔭21′	𝔭21′	NOUN
cana-526	164	15	,	,	PUNCT
cana-526	164	16	𝔮21	𝔮21	NOUN
cana-526	164	17	′	′	NUM
cana-526	164	18	,	,	PUNCT
cana-526	164	19	𝔯21	𝔯21	NOUN
cana-526	164	20	′	′	NUM
cana-526	164	21	)	)	PUNCT
cana-526	164	22	(	(	PUNCT
cana-526	164	23	𝔭21′′	𝔭21′′	INTJ
cana-526	164	24	,	,	PUNCT
cana-526	164	25	𝔮21	𝔮21	NOUN
cana-526	164	26	′	′	NUM
cana-526	164	27	,	,	PUNCT
cana-526	164	28	𝔯21′′	𝔯21′′	PROPN
cana-526	164	29	)	)	PUNCT
cana-526	164	30	}	}	PUNCT
cana-526	164	31	+	+	CCONJ
cana-526	164	32	{	{	PUNCT
cana-526	164	33	(	(	PUNCT
cana-526	164	34	𝔭22′	𝔭22′	PROPN
cana-526	164	35	,	,	PUNCT
cana-526	164	36	𝔮22	𝔮22	NOUN
cana-526	164	37	′	′	NOUN
cana-526	164	38	,	,	PUNCT
cana-526	164	39	𝔯22	𝔯22	NOUN
cana-526	164	40	′	′	NUM
cana-526	164	41	)	)	PUNCT
cana-526	164	42	(	(	PUNCT
cana-526	164	43	𝔭′22	𝔭′22	ADJ
cana-526	164	44	′	′	NOUN
cana-526	164	45	,	,	PUNCT
cana-526	164	46	𝔮22	𝔮22	NOUN
cana-526	164	47	′	′	NOUN
cana-526	164	48	,	,	PUNCT
cana-526	164	49	𝔯′22′	𝔯′22′	ADV
cana-526	164	50	)	)	PUNCT
cana-526	164	51	}	}	PUNCT
cana-526	164	52	=	=	SYM
cana-526	164	53	1	1	NUM
cana-526	164	54	{	{	PUNCT
cana-526	164	55	(	(	PUNCT
cana-526	164	56	𝔭11′	𝔭11′	NOUN
cana-526	164	57	,	,	PUNCT
cana-526	164	58	𝔮11	𝔮11	ADJ
cana-526	164	59	′	′	NOUN
cana-526	164	60	,	,	PUNCT
cana-526	164	61	𝔯11	𝔯11	NOUN
cana-526	164	62	′	′	NUM
cana-526	164	63	)	)	PUNCT
cana-526	164	64	(	(	PUNCT
cana-526	164	65	𝔭11′′	𝔭11′′	NUM
cana-526	164	66	,	,	PUNCT
cana-526	164	67	𝔮11	𝔮11	ADJ
cana-526	164	68	′	′	NUM
cana-526	164	69	,	,	PUNCT
cana-526	164	70	𝔯11′′	𝔯11′′	NUM
cana-526	164	71	)	)	PUNCT
cana-526	164	72	}	}	PUNCT
cana-526	164	73	+	+	CCONJ
cana-526	164	74	{	{	PUNCT
cana-526	164	75	(	(	PUNCT
cana-526	164	76	𝔭21′	𝔭21′	NOUN
cana-526	164	77	,	,	PUNCT
cana-526	164	78	𝔮21	𝔮21	NOUN
cana-526	164	79	′	′	NUM
cana-526	164	80	,	,	PUNCT
cana-526	164	81	𝔯21	𝔯21	NOUN
cana-526	164	82	′	′	NUM
cana-526	164	83	)	)	PUNCT
cana-526	164	84	(	(	PUNCT
cana-526	164	85	𝔭21′′	𝔭21′′	INTJ
cana-526	164	86	,	,	PUNCT
cana-526	164	87	𝔮21	𝔮21	NOUN
cana-526	164	88	′	′	NUM
cana-526	164	89	,	,	PUNCT
cana-526	164	90	𝔯21′′	𝔯21′′	PROPN
cana-526	164	91	)	)	PUNCT
cana-526	164	92	}	}	PUNCT
cana-526	164	93	=	=	SYM
cana-526	164	94	1	1	NUM
cana-526	164	95	{	{	PUNCT
cana-526	164	96	(	(	PUNCT
cana-526	164	97	𝔭12′	𝔭12′	X
cana-526	164	98	,	,	PUNCT
cana-526	164	99	𝔮12	𝔮12	NOUN
cana-526	164	100	′	′	NOUN
cana-526	164	101	,	,	PUNCT
cana-526	164	102	𝔯12	𝔯12	PROPN
cana-526	164	103	′	′	NUM
cana-526	164	104	)	)	PUNCT
cana-526	165	1	(	(	PUNCT
cana-526	165	2	𝔭12′′	𝔭12′′	NUM
cana-526	165	3	,	,	PUNCT
cana-526	165	4	𝔮12	𝔮12	NOUN
cana-526	165	5	′	′	NOUN
cana-526	165	6	,	,	PUNCT
cana-526	165	7	𝔯′12′	𝔯′12′	PROPN
cana-526	165	8	)	)	PUNCT
cana-526	165	9	}	}	PUNCT
cana-526	165	10	+	+	CCONJ
cana-526	165	11	{	{	PUNCT
cana-526	165	12	(	(	PUNCT
cana-526	165	13	𝔭22′	𝔭22′	PROPN
cana-526	165	14	,	,	PUNCT
cana-526	165	15	𝔮22	𝔮22	NOUN
cana-526	165	16	′	′	NOUN
cana-526	165	17	,	,	PUNCT
cana-526	165	18	𝔯22	𝔯22	NOUN
cana-526	165	19	′	′	NUM
cana-526	165	20	)	)	PUNCT
cana-526	165	21	(	(	PUNCT
cana-526	165	22	𝔭′22	𝔭′22	ADJ
cana-526	165	23	′	′	NOUN
cana-526	165	24	,	,	PUNCT
cana-526	165	25	𝔮22	𝔮22	NOUN
cana-526	165	26	′	′	NOUN
cana-526	165	27	,	,	PUNCT
cana-526	165	28	𝔯′22′	𝔯′22′	ADV
cana-526	165	29	)	)	PUNCT
cana-526	165	30	}	}	PUNCT
cana-526	165	31	=	=	SYM
cana-526	165	32	1	1	NUM
cana-526	165	33	where	where	SCONJ
cana-526	165	34	{	{	PUNCT
cana-526	165	35	(	(	PUNCT
cana-526	165	36	𝔭11′	𝔭11′	NOUN
cana-526	165	37	,	,	PUNCT
cana-526	165	38	𝔮11	𝔮11	ADJ
cana-526	165	39	′	′	NOUN
cana-526	165	40	,	,	PUNCT
cana-526	165	41	𝔯11	𝔯11	NOUN
cana-526	165	42	′	′	NUM
cana-526	165	43	)	)	PUNCT
cana-526	165	44	(	(	PUNCT
cana-526	165	45	𝔭11′′	𝔭11′′	NUM
cana-526	165	46	,	,	PUNCT
cana-526	165	47	𝔮11	𝔮11	ADJ
cana-526	165	48	′	′	NUM
cana-526	165	49	,	,	PUNCT
cana-526	165	50	𝔯11′′	𝔯11′′	NUM
cana-526	165	51	)	)	PUNCT
cana-526	165	52	}	}	PUNCT
cana-526	165	53	,	,	PUNCT
cana-526	165	54	{	{	PUNCT
cana-526	165	55	(	(	PUNCT
cana-526	165	56	𝔭12′	𝔭12′	X
cana-526	165	57	,	,	PUNCT
cana-526	165	58	𝔮12	𝔮12	NOUN
cana-526	165	59	′	′	NOUN
cana-526	165	60	,	,	PUNCT
cana-526	165	61	𝔯12	𝔯12	PROPN
cana-526	165	62	′	′	NUM
cana-526	165	63	)	)	PUNCT
cana-526	166	1	(	(	PUNCT
cana-526	166	2	𝔭12′′	𝔭12′′	NUM
cana-526	166	3	,	,	PUNCT
cana-526	166	4	𝔮12	𝔮12	NOUN
cana-526	166	5	′	′	NOUN
cana-526	166	6	,	,	PUNCT
cana-526	166	7	𝔯′12′	𝔯′12′	PROPN
cana-526	166	8	)	)	PUNCT
cana-526	166	9	}	}	PUNCT
cana-526	166	10	,	,	PUNCT
cana-526	166	11	{	{	PUNCT
cana-526	166	12	(	(	PUNCT
cana-526	166	13	𝔭21′	𝔭21′	NOUN
cana-526	166	14	,	,	PUNCT
cana-526	166	15	𝔮21	𝔮21	NOUN
cana-526	166	16	′	′	NUM
cana-526	166	17	,	,	PUNCT
cana-526	166	18	𝔯21	𝔯21	NOUN
cana-526	166	19	′	′	NUM
cana-526	166	20	)	)	PUNCT
cana-526	166	21	(	(	PUNCT
cana-526	166	22	𝔭21′′	𝔭21′′	INTJ
cana-526	166	23	,	,	PUNCT
cana-526	166	24	𝔮21	𝔮21	NOUN
cana-526	166	25	′	′	NUM
cana-526	166	26	,	,	PUNCT
cana-526	166	27	𝔯21′′	𝔯21′′	PROPN
cana-526	166	28	)	)	PUNCT
cana-526	166	29	}	}	PUNCT
cana-526	166	30	,	,	PUNCT
cana-526	166	31	{	{	PUNCT
cana-526	166	32	(	(	PUNCT
cana-526	166	33	𝔭22′	𝔭22′	PROPN
cana-526	166	34	,	,	PUNCT
cana-526	166	35	𝔮22	𝔮22	NOUN
cana-526	166	36	′	′	NOUN
cana-526	166	37	,	,	PUNCT
cana-526	166	38	𝔯22	𝔯22	NOUN
cana-526	166	39	′	′	NUM
cana-526	166	40	)	)	PUNCT
cana-526	166	41	(	(	PUNCT
cana-526	166	42	𝔭′22	𝔭′22	ADJ
cana-526	166	43	′	′	NOUN
cana-526	166	44	,	,	PUNCT
cana-526	166	45	𝔮22	𝔮22	NOUN
cana-526	166	46	′	′	NOUN
cana-526	166	47	,	,	PUNCT
cana-526	166	48	𝔯′22′	𝔯′22′	PROPN
cana-526	166	49	)	)	PUNCT
cana-526	166	50	are	be	AUX
cana-526	166	51	all	all	PRON
cana-526	166	52	≥	≥	NOUN
cana-526	166	53	0	0	NUM
cana-526	166	54	.	.	NOUN
cana-526	166	55	2	2	NUM
cana-526	166	56	minimize	minimize	VERB
cana-526	166	57	𝒵~=	𝒵~=	NUM
cana-526	166	58	{	{	PUNCT
cana-526	166	59	(	(	PUNCT
cana-526	166	60	3𝔭11′	3𝔭11′	NUM
cana-526	166	61	,	,	PUNCT
cana-526	166	62	5𝔮11′	5𝔮11′	NUM
cana-526	166	63	,	,	PUNCT
cana-526	166	64	9𝔯11′	9𝔯11′	NUM
cana-526	166	65	)	)	PUNCT
cana-526	166	66	(	(	PUNCT
cana-526	166	67	1𝔭11′′	1𝔭11′′	NUM
cana-526	166	68	,	,	PUNCT
cana-526	166	69	5𝔮11′	5𝔮11′	NUM
cana-526	166	70	,	,	PUNCT
cana-526	166	71	11𝔯11′′	11𝔯11′′	NUM
cana-526	166	72	)	)	PUNCT
cana-526	166	73	}	}	PUNCT
cana-526	167	1	+	+	CCONJ
cana-526	167	2	{	{	PUNCT
cana-526	167	3	(	(	PUNCT
cana-526	167	4	5𝔭12′	5𝔭12′	ADJ
cana-526	167	5	,	,	PUNCT
cana-526	167	6	7𝔮12′	7𝔮12′	PROPN
cana-526	167	7	,	,	PUNCT
cana-526	167	8	10𝔯12′	10𝔯12′	NUM
cana-526	167	9	)	)	PUNCT
cana-526	167	10	(	(	PUNCT
cana-526	167	11	3𝔭12′′	3𝔭12′′	NUM
cana-526	167	12	,	,	PUNCT
cana-526	167	13	7𝔮12′	7𝔮12′	PROPN
cana-526	167	14	,	,	PUNCT
cana-526	167	15	12𝔯′12′	12𝔯′12′	NUM
cana-526	167	16	)	)	PUNCT
cana-526	167	17	}	}	PUNCT
cana-526	167	18	+	+	CCONJ
cana-526	167	19	{	{	PUNCT
cana-526	167	20	(	(	PUNCT
cana-526	167	21	4𝔭21′	4𝔭21′	INTJ
cana-526	167	22	,	,	PUNCT
cana-526	167	23	7𝔮21′	7𝔮21′	NOUN
cana-526	167	24	,	,	PUNCT
cana-526	167	25	11𝔯21′	11𝔯21′	NUM
cana-526	167	26	)	)	PUNCT
cana-526	167	27	(	(	PUNCT
cana-526	167	28	2𝔭21′′	2𝔭21′′	NUM
cana-526	167	29	,	,	PUNCT
cana-526	167	30	7𝔮21′	7𝔮21′	NOUN
cana-526	167	31	,	,	PUNCT
cana-526	167	32	13𝔯21′′	13𝔯21′′	NUM
cana-526	167	33	)	)	PUNCT
cana-526	167	34	}	}	PUNCT
cana-526	167	35	+	+	CCONJ
cana-526	167	36	{	{	PUNCT
cana-526	167	37	(	(	PUNCT
cana-526	167	38	5𝔭22	5𝔭22	NUM
cana-526	167	39	′	′	NUM
cana-526	167	40	,	,	PUNCT
cana-526	167	41	8𝔮22′	8𝔮22′	NUM
cana-526	167	42	,	,	PUNCT
cana-526	167	43	10𝔯22′	10𝔯22′	NUM
cana-526	167	44	)	)	PUNCT
cana-526	167	45	(	(	PUNCT
cana-526	167	46	3𝔭22′′	3𝔭22′′	NUM
cana-526	167	47	,	,	PUNCT
cana-526	167	48	8𝔮22′	8𝔮22′	NUM
cana-526	167	49	,	,	PUNCT
cana-526	167	50	12𝔯22′′	12𝔯22′′	PROPN
cana-526	167	51	)	)	PUNCT
cana-526	167	52	}	}	PUNCT
cana-526	167	53	subject	subject	ADJ
cana-526	167	54	to	to	ADP
cana-526	167	55	{	{	PUNCT
cana-526	167	56	(	(	PUNCT
cana-526	167	57	𝔭11′	𝔭11′	NOUN
cana-526	167	58	,	,	PUNCT
cana-526	167	59	𝔮11	𝔮11	ADJ
cana-526	167	60	′	′	NOUN
cana-526	167	61	,	,	PUNCT
cana-526	167	62	𝔯11	𝔯11	NOUN
cana-526	167	63	′	′	NUM
cana-526	167	64	)	)	PUNCT
cana-526	167	65	(	(	PUNCT
cana-526	167	66	𝔭11′′	𝔭11′′	NUM
cana-526	167	67	,	,	PUNCT
cana-526	167	68	𝔮11	𝔮11	ADJ
cana-526	167	69	′	′	NUM
cana-526	167	70	,	,	PUNCT
cana-526	167	71	𝔯11′′	𝔯11′′	NUM
cana-526	167	72	)	)	PUNCT
cana-526	167	73	}	}	PUNCT
cana-526	168	1	+	+	CCONJ
cana-526	168	2	{	{	PUNCT
cana-526	168	3	(	(	PUNCT
cana-526	168	4	𝔭12′	𝔭12′	X
cana-526	168	5	,	,	PUNCT
cana-526	168	6	𝔮12	𝔮12	NOUN
cana-526	168	7	′	′	NOUN
cana-526	168	8	,	,	PUNCT
cana-526	168	9	𝔯12	𝔯12	PROPN
cana-526	168	10	′	′	NUM
cana-526	168	11	)	)	PUNCT
cana-526	168	12	(	(	PUNCT
cana-526	168	13	𝔭12′′	𝔭12′′	NUM
cana-526	168	14	,	,	PUNCT
cana-526	168	15	𝔮12	𝔮12	NOUN
cana-526	168	16	′	′	NOUN
cana-526	168	17	,	,	PUNCT
cana-526	168	18	𝔯′12′	𝔯′12′	PROPN
cana-526	168	19	)	)	PUNCT
cana-526	168	20	}	}	PUNCT
cana-526	169	1	=	=	SYM
cana-526	169	2	1	1	NUM
cana-526	169	3	{	{	PUNCT
cana-526	169	4	(	(	PUNCT
cana-526	169	5	𝔭21′	𝔭21′	NOUN
cana-526	169	6	,	,	PUNCT
cana-526	169	7	𝔮21	𝔮21	NOUN
cana-526	169	8	′	′	NUM
cana-526	169	9	,	,	PUNCT
cana-526	169	10	𝔯21	𝔯21	NOUN
cana-526	169	11	′	′	NUM
cana-526	169	12	)	)	PUNCT
cana-526	169	13	(	(	PUNCT
cana-526	169	14	𝔭21′′	𝔭21′′	INTJ
cana-526	169	15	,	,	PUNCT
cana-526	169	16	𝔮21	𝔮21	NOUN
cana-526	169	17	′	′	NUM
cana-526	169	18	,	,	PUNCT
cana-526	169	19	𝔯21′′	𝔯21′′	PROPN
cana-526	169	20	)	)	PUNCT
cana-526	169	21	}	}	PUNCT
cana-526	169	22	+	+	CCONJ
cana-526	169	23	{	{	PUNCT
cana-526	169	24	(	(	PUNCT
cana-526	169	25	𝔭22′	𝔭22′	PROPN
cana-526	169	26	,	,	PUNCT
cana-526	169	27	𝔮22	𝔮22	NOUN
cana-526	169	28	′	′	NOUN
cana-526	169	29	,	,	PUNCT
cana-526	169	30	𝔯22	𝔯22	NOUN
cana-526	169	31	′	′	NUM
cana-526	169	32	)	)	PUNCT
cana-526	169	33	(	(	PUNCT
cana-526	169	34	𝔭′22	𝔭′22	ADJ
cana-526	169	35	′	′	NOUN
cana-526	169	36	,	,	PUNCT
cana-526	169	37	𝔮22	𝔮22	NOUN
cana-526	169	38	′	′	NOUN
cana-526	169	39	,	,	PUNCT
cana-526	169	40	𝔯′22′	𝔯′22′	ADV
cana-526	169	41	)	)	PUNCT
cana-526	169	42	}	}	PUNCT
cana-526	169	43	=	=	SYM
cana-526	169	44	1	1	NUM
cana-526	169	45	{	{	PUNCT
cana-526	169	46	(	(	PUNCT
cana-526	169	47	𝔭11′	𝔭11′	NOUN
cana-526	169	48	,	,	PUNCT
cana-526	169	49	𝔮11	𝔮11	ADJ
cana-526	169	50	′	′	NOUN
cana-526	169	51	,	,	PUNCT
cana-526	169	52	𝔯11	𝔯11	NOUN
cana-526	169	53	′	′	NUM
cana-526	169	54	)	)	PUNCT
cana-526	169	55	(	(	PUNCT
cana-526	169	56	𝔭11′′	𝔭11′′	NUM
cana-526	169	57	,	,	PUNCT
cana-526	169	58	𝔮11	𝔮11	ADJ
cana-526	169	59	′	′	NUM
cana-526	169	60	,	,	PUNCT
cana-526	169	61	𝔯11′′	𝔯11′′	NUM
cana-526	169	62	)	)	PUNCT
cana-526	169	63	}	}	PUNCT
cana-526	169	64	+	+	CCONJ
cana-526	169	65	{	{	PUNCT
cana-526	169	66	(	(	PUNCT
cana-526	169	67	𝔭21′	𝔭21′	NOUN
cana-526	169	68	,	,	PUNCT
cana-526	169	69	𝔮21	𝔮21	NOUN
cana-526	169	70	′	′	NUM
cana-526	169	71	,	,	PUNCT
cana-526	169	72	𝔯21	𝔯21	NOUN
cana-526	169	73	′	′	NUM
cana-526	169	74	)	)	PUNCT
cana-526	169	75	(	(	PUNCT
cana-526	169	76	𝔭21′′	𝔭21′′	INTJ
cana-526	169	77	,	,	PUNCT
cana-526	169	78	𝔮21	𝔮21	NOUN
cana-526	169	79	′	′	NUM
cana-526	169	80	,	,	PUNCT
cana-526	169	81	𝔯21′′	𝔯21′′	PROPN
cana-526	169	82	)	)	PUNCT
cana-526	169	83	}	}	PUNCT
cana-526	169	84	=	=	SYM
cana-526	169	85	1	1	NUM
cana-526	169	86	{	{	PUNCT
cana-526	169	87	(	(	PUNCT
cana-526	169	88	𝔭12′	𝔭12′	X
cana-526	169	89	,	,	PUNCT
cana-526	169	90	𝔮12	𝔮12	NOUN
cana-526	169	91	′	′	NOUN
cana-526	169	92	,	,	PUNCT
cana-526	169	93	𝔯12	𝔯12	PROPN
cana-526	169	94	′	′	NUM
cana-526	169	95	)	)	PUNCT
cana-526	169	96	(	(	PUNCT
cana-526	169	97	𝔭12′′	𝔭12′′	NUM
cana-526	169	98	,	,	PUNCT
cana-526	169	99	𝔮12	𝔮12	NOUN
cana-526	169	100	′	′	NOUN
cana-526	169	101	,	,	PUNCT
cana-526	169	102	𝔯′12′	𝔯′12′	PROPN
cana-526	169	103	)	)	PUNCT
cana-526	169	104	}	}	PUNCT
cana-526	169	105	+	+	CCONJ
cana-526	169	106	{	{	PUNCT
cana-526	169	107	(	(	PUNCT
cana-526	169	108	𝔭22′	𝔭22′	PROPN
cana-526	169	109	,	,	PUNCT
cana-526	169	110	𝔮22	𝔮22	NOUN
cana-526	169	111	′	′	NOUN
cana-526	169	112	,	,	PUNCT
cana-526	169	113	𝔯22	𝔯22	NOUN
cana-526	169	114	′	′	NUM
cana-526	169	115	)	)	PUNCT
cana-526	169	116	(	(	PUNCT
cana-526	169	117	𝔭′22	𝔭′22	ADJ
cana-526	169	118	′	′	NOUN
cana-526	169	119	,	,	PUNCT
cana-526	169	120	𝔮22	𝔮22	NOUN
cana-526	169	121	′	′	NOUN
cana-526	169	122	,	,	PUNCT
cana-526	169	123	𝔯′22′	𝔯′22′	ADV
cana-526	169	124	)	)	PUNCT
cana-526	169	125	}	}	PUNCT
cana-526	169	126	=	=	SYM
cana-526	169	127	1	1	NUM
cana-526	169	128	3	3	NUM
cana-526	169	129	applying	apply	VERB
cana-526	169	130	the	the	DET
cana-526	169	131	ranking	rank	VERB
cana-526	169	132	function	function	NOUN
cana-526	169	133	,	,	PUNCT
cana-526	169	134	minimize	minimize	VERB
cana-526	169	135	𝒵~=	𝒵~=	PROPN
cana-526	169	136	ℝ	ℝ	PROPN
cana-526	169	137	{	{	PUNCT
cana-526	169	138	(	(	PUNCT
cana-526	169	139	3𝔭11′	3𝔭11′	NUM
cana-526	169	140	+5𝔭12′	+5𝔭12′	X
cana-526	169	141	+	+	X
cana-526	169	142	4𝔭21	4𝔭21	NUM
cana-526	169	143	′	′	NUM
cana-526	170	1	+	+	NUM
cana-526	170	2	5𝔭22	5𝔭22	NUM
cana-526	170	3	′	′	NUM
cana-526	170	4	)	)	PUNCT
cana-526	170	5	,	,	PUNCT
cana-526	170	6	(	(	PUNCT
cana-526	170	7	5𝔮11′	5𝔮11′	NUM
cana-526	171	1	+7𝔮12′	+7𝔮12′	X
cana-526	172	1	+	+	X
cana-526	172	2	7𝔮21	7𝔮21	NOUN
cana-526	172	3	′	′	NUM
cana-526	173	1	+	+	CCONJ
cana-526	173	2	8𝔮22	8𝔮22	NUM
cana-526	173	3	′	′	NUM
cana-526	173	4	)	)	PUNCT
cana-526	173	5	,	,	PUNCT
cana-526	173	6	(	(	PUNCT
cana-526	173	7	9𝔯11′	9𝔯11′	NOUN
cana-526	173	8	+10𝔯12′	+10𝔯12′	SYM
cana-526	173	9	+	+	NOUN
cana-526	173	10	11𝔯21	11𝔯21	NUM
cana-526	173	11	′	′	NUM
cana-526	174	1	+	+	CCONJ
cana-526	174	2	10𝔯22	10𝔯22	NUM
cana-526	174	3	′	′	NUM
cana-526	174	4	)	)	PUNCT
cana-526	175	1	;	;	PUNCT
cana-526	175	2	(	(	PUNCT
cana-526	175	3	1𝔭′11′	1𝔭′11′	NUM
cana-526	175	4	+	+	NUM
cana-526	175	5	3𝔭′12	3𝔭′12	NUM
cana-526	175	6	′	′	NUM
cana-526	176	1	+	+	CCONJ
cana-526	176	2	2𝔭′21	2𝔭′21	ADJ
cana-526	176	3	′	′	NUM
cana-526	177	1	+	+	CCONJ
cana-526	177	2	3𝔭′22	3𝔭′22	ADJ
cana-526	177	3	′	′	NUM
cana-526	177	4	)	)	PUNCT
cana-526	178	1	,	,	PUNCT
cana-526	178	2	(	(	PUNCT
cana-526	178	3	5𝔮11	5𝔮11	NUM
cana-526	178	4	′	′	NUM
cana-526	179	1	+	+	CCONJ
cana-526	179	2	7𝔮12	7𝔮12	NOUN
cana-526	179	3	′	′	NOUN
cana-526	180	1	+	+	CCONJ
cana-526	180	2	7𝔮21	7𝔮21	NOUN
cana-526	180	3	′	′	NUM
cana-526	181	1	+	+	CCONJ
cana-526	181	2	8𝔮22	8𝔮22	NUM
cana-526	181	3	′	′	NUM
cana-526	181	4	)	)	PUNCT
cana-526	181	5	,	,	PUNCT
cana-526	181	6	communications	communication	NOUN
cana-526	181	7	on	on	ADP
cana-526	181	8	applied	apply	VERB
cana-526	181	9	nonlinear	nonlinear	ADJ
cana-526	181	10	analysis	analysis	NOUN
cana-526	181	11	issn	issn	NOUN
cana-526	181	12	:	:	PUNCT
cana-526	181	13	1074	1074	NUM
cana-526	181	14	-	-	PUNCT
cana-526	181	15	133x	133x	NUM
cana-526	181	16	vol	vol	NOUN
cana-526	181	17	31	31	NUM
cana-526	181	18	no	no	NOUN
cana-526	181	19	.	.	NOUN
cana-526	181	20	2	2	NUM
cana-526	181	21	(	(	PUNCT
cana-526	181	22	2024	2024	NUM
cana-526	181	23	)	)	PUNCT
cana-526	182	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	182	2	149	149	NUM
cana-526	182	3	(	(	PUNCT
cana-526	182	4	11𝔯′11′	11𝔯′11′	NUM
cana-526	182	5	+	+	CCONJ
cana-526	182	6	12𝔯′12	12𝔯′12	NUM
cana-526	182	7	′	′	NUM
cana-526	183	1	+	+	CCONJ
cana-526	184	1	13𝔯′21	13𝔯′21	ADJ
cana-526	184	2	′	′	NUM
cana-526	185	1	+	+	CCONJ
cana-526	186	1	12𝔯′22	12𝔯′22	NUM
cana-526	186	2	′	′	NUM
cana-526	186	3	)	)	PUNCT
cana-526	186	4	}	}	PUNCT
cana-526	186	5	subject	subject	ADJ
cana-526	186	6	to	to	ADP
cana-526	186	7	{	{	PUNCT
cana-526	186	8	(	(	PUNCT
cana-526	186	9	𝔭11′	𝔭11′	X
cana-526	186	10	+	+	CCONJ
cana-526	186	11	𝔭12	𝔭12	NUM
cana-526	186	12	′	′	NUM
cana-526	186	13	,	,	PUNCT
cana-526	186	14	𝔮11	𝔮11	ADJ
cana-526	186	15	′	′	NOUN
cana-526	186	16	+	+	CCONJ
cana-526	186	17	𝔮12	𝔮12	NOUN
cana-526	186	18	′	′	NOUN
cana-526	186	19	,	,	PUNCT
cana-526	186	20	𝔯11	𝔯11	PROPN
cana-526	186	21	′	′	NOUN
cana-526	187	1	+	+	PUNCT
cana-526	187	2	𝔯12	𝔯12	PROPN
cana-526	187	3	′	′	NUM
cana-526	187	4	)	)	PUNCT
cana-526	187	5	;	;	PUNCT
cana-526	187	6	(	(	PUNCT
cana-526	187	7	𝔭′11′	𝔭′11′	X
cana-526	187	8	+	+	CCONJ
cana-526	187	9	𝔭12	𝔭12	NUM
cana-526	187	10	′′	′′	PROPN
cana-526	187	11	,	,	PUNCT
cana-526	187	12	𝔮11	𝔮11	ADJ
cana-526	187	13	′	′	NOUN
cana-526	188	1	+	+	CCONJ
cana-526	188	2	𝔮12	𝔮12	NOUN
cana-526	188	3	′	′	NOUN
cana-526	188	4	,	,	PUNCT
cana-526	188	5	𝔯11′′	𝔯11′′	PROPN
cana-526	188	6	+	+	CCONJ
cana-526	188	7	𝔯′12′	𝔯′12′	PROPN
cana-526	188	8	)	)	PUNCT
cana-526	188	9	}	}	PUNCT
cana-526	189	1	=	=	SYM
cana-526	189	2	1	1	X
cana-526	189	3	{	{	PUNCT
cana-526	189	4	(	(	PUNCT
cana-526	189	5	𝔭21′	𝔭21′	NOUN
cana-526	189	6	+	+	CCONJ
cana-526	189	7	𝔭22	𝔭22	NOUN
cana-526	189	8	′	′	NOUN
cana-526	189	9	,	,	PUNCT
cana-526	189	10	𝔮21	𝔮21	NOUN
cana-526	189	11	′	′	NUM
cana-526	190	1	+	+	CCONJ
cana-526	190	2	𝔮22	𝔮22	NOUN
cana-526	190	3	′	′	NOUN
cana-526	190	4	,	,	PUNCT
cana-526	190	5	𝔯21	𝔯21	NOUN
cana-526	190	6	′	′	VERB
cana-526	190	7	+	+	CCONJ
cana-526	190	8	𝔯22	𝔯22	NOUN
cana-526	190	9	′	′	NUM
cana-526	190	10	)	)	PUNCT
cana-526	190	11	;	;	PUNCT
cana-526	190	12	(	(	PUNCT
cana-526	190	13	𝔭21′′	𝔭21′′	PRON
cana-526	191	1	+	+	CCONJ
cana-526	191	2	𝔭′22′	𝔭′22′	PROPN
cana-526	191	3	,	,	PUNCT
cana-526	191	4	𝔮21′	𝔮21′	X
cana-526	191	5	+	+	CCONJ
cana-526	191	6	𝔮22	𝔮22	NOUN
cana-526	191	7	′	′	NOUN
cana-526	191	8	,	,	PUNCT
cana-526	191	9	𝔯′21′	𝔯′21′	X
cana-526	191	10	+	+	CCONJ
cana-526	191	11	𝔯′22	𝔯′22	ADJ
cana-526	191	12	′	′	NOUN
cana-526	191	13	)	)	PUNCT
cana-526	191	14	}	}	PUNCT
cana-526	192	1	=	=	SYM
cana-526	192	2	1	1	X
cana-526	192	3	{	{	PUNCT
cana-526	192	4	(	(	PUNCT
cana-526	192	5	𝔭11′	𝔭11′	X
cana-526	192	6	+	+	CCONJ
cana-526	192	7	𝔭21	𝔭21	NUM
cana-526	192	8	′	′	NUM
cana-526	192	9	,	,	PUNCT
cana-526	192	10	𝔮11	𝔮11	ADJ
cana-526	192	11	′	′	NOUN
cana-526	192	12	+	+	CCONJ
cana-526	192	13	𝔮21	𝔮21	NUM
cana-526	192	14	′	′	NOUN
cana-526	192	15	,	,	PUNCT
cana-526	192	16	𝔯11	𝔯11	NOUN
cana-526	192	17	′	′	NOUN
cana-526	193	1	+	+	NUM
cana-526	193	2	𝔯21	𝔯21	NOUN
cana-526	193	3	′	′	NUM
cana-526	193	4	)	)	PUNCT
cana-526	193	5	;	;	PUNCT
cana-526	193	6	(	(	PUNCT
cana-526	193	7	𝔭′11′	𝔭′11′	X
cana-526	193	8	+	+	NUM
cana-526	193	9	𝔭21	𝔭21	VERB
cana-526	193	10	′′	′′	PROPN
cana-526	193	11	,	,	PUNCT
cana-526	193	12	𝔮11	𝔮11	ADJ
cana-526	193	13	′	′	NOUN
cana-526	193	14	+	+	CCONJ
cana-526	193	15	𝔮21	𝔮21	NUM
cana-526	193	16	′	′	NUM
cana-526	193	17	,	,	PUNCT
cana-526	193	18	𝔯′11′	𝔯′11′	PROPN
cana-526	193	19	+	+	NUM
cana-526	193	20	𝔯21	𝔯21	NOUN
cana-526	193	21	′′	′′	PROPN
cana-526	193	22	)	)	PUNCT
cana-526	193	23	}	}	PUNCT
cana-526	193	24	=	=	SYM
cana-526	193	25	1	1	NUM
cana-526	193	26	{	{	PUNCT
cana-526	193	27	(	(	PUNCT
cana-526	193	28	𝔭12′	𝔭12′	X
cana-526	193	29	+	+	CCONJ
cana-526	193	30	𝔭22	𝔭22	NOUN
cana-526	193	31	′	′	NOUN
cana-526	193	32	,	,	PUNCT
cana-526	193	33	𝔮12	𝔮12	NOUN
cana-526	193	34	′	′	NOUN
cana-526	193	35	+	+	CCONJ
cana-526	193	36	𝔮22	𝔮22	NOUN
cana-526	193	37	′	′	NOUN
cana-526	193	38	,	,	PUNCT
cana-526	193	39	𝔯12	𝔯12	PROPN
cana-526	193	40	′	′	NUM
cana-526	194	1	+	+	CCONJ
cana-526	194	2	𝔯22	𝔯22	NOUN
cana-526	194	3	′	′	NUM
cana-526	194	4	)	)	PUNCT
cana-526	195	1	;	;	PUNCT
cana-526	195	2	(	(	PUNCT
cana-526	195	3	𝔭′12′	𝔭′12′	PROPN
cana-526	195	4	+	+	CCONJ
cana-526	195	5	𝔭′22	𝔭′22	PROPN
cana-526	195	6	′	′	NOUN
cana-526	195	7	,	,	PUNCT
cana-526	195	8	𝔮12	𝔮12	NOUN
cana-526	195	9	′	′	NOUN
cana-526	195	10	+	+	CCONJ
cana-526	195	11	𝔮22	𝔮22	NOUN
cana-526	195	12	′	′	NOUN
cana-526	195	13	,	,	PUNCT
cana-526	195	14	𝔯′12′	𝔯′12′	PROPN
cana-526	195	15	+	+	PROPN
cana-526	195	16	𝔯′22′	𝔯′22′	PROPN
cana-526	195	17	)	)	PUNCT
cana-526	195	18	}	}	PUNCT
cana-526	195	19	=	=	SYM
cana-526	195	20	1	1	NUM
cana-526	195	21	4	4	NUM
cana-526	195	22	by	by	ADP
cana-526	195	23	using	use	VERB
cana-526	195	24	arithmetic	arithmetic	ADJ
cana-526	195	25	operations	operation	NOUN
cana-526	195	26	,	,	PUNCT
cana-526	195	27	then	then	ADV
cana-526	195	28	the	the	DET
cana-526	195	29	problem	problem	NOUN
cana-526	195	30	converts	convert	VERB
cana-526	195	31	into	into	ADP
cana-526	195	32	crisp	crisp	ADJ
cana-526	195	33	assignment	assignment	NOUN
cana-526	195	34	problem	problem	NOUN
cana-526	195	35	,	,	PUNCT
cana-526	195	36	minimize	minimize	VERB
cana-526	195	37	𝒵~=	𝒵~=	X
cana-526	195	38	3𝔭11	3𝔭11	NOUN
cana-526	196	1	′	′	NUM
cana-526	197	1	+5𝔭12	+5𝔭12	NUM
cana-526	197	2	′	′	NUM
cana-526	198	1	+4𝔭21	+4𝔭21	NOUN
cana-526	199	1	′	′	NUM
cana-526	199	2	+5𝔭22	+5𝔭22	NUM
cana-526	199	3	′	′	NUM
cana-526	199	4	+1𝔭11	+1𝔭11	VERB
cana-526	200	1	′′	′′	PROPN
cana-526	200	2	+3𝔭12	+3𝔭12	NUM
cana-526	200	3	′′	′′	PROPN
cana-526	200	4	+2𝔭21	+2𝔭21	NUM
cana-526	200	5	′′	′′	PROPN
cana-526	200	6	+3𝔭22	+3𝔭22	PROPN
cana-526	200	7	′′	′′	PROPN
cana-526	200	8	+20𝔮11	+20𝔮11	ADJ
cana-526	200	9	′	′	NUM
cana-526	200	10	+28𝔮12	+28𝔮12	NOUN
cana-526	200	11	′	′	NUM
cana-526	201	1	+28𝔮21	+28𝔮21	ADJ
cana-526	201	2	′	′	NUM
cana-526	201	3	+32𝔮22	+32𝔮22	ADJ
cana-526	202	1	′	′	NUM
cana-526	203	1	+9𝔯11	+9𝔯11	ADV
cana-526	203	2	′	′	NUM
cana-526	203	3	+10𝔯12	+10𝔯12	NOUN
cana-526	204	1	′	′	NUM
cana-526	204	2	+11𝔯21	+11𝔯21	NOUN
cana-526	204	3	′	′	NUM
cana-526	205	1	+10𝔯22	+10𝔯22	NOUN
cana-526	205	2	′	′	NUM
cana-526	206	1	+11𝔯11	+11𝔯11	NOUN
cana-526	207	1	′′	′′	PROPN
cana-526	207	2	+12𝔯12	+12𝔯12	NOUN
cana-526	207	3	′′	′′	PROPN
cana-526	207	4	+13𝔯21	+13𝔯21	VERB
cana-526	207	5	′′	′′	PROPN
cana-526	207	6	+12𝔯22	+12𝔯22	ADP
cana-526	207	7	′′	′′	PROPN
cana-526	207	8	8	8	NUM
cana-526	207	9	subject	subject	ADJ
cana-526	207	10	to	to	ADP
cana-526	207	11	𝔭11	𝔭11	NOUN
cana-526	207	12	′	′	NUM
cana-526	208	1	+	+	CCONJ
cana-526	208	2	𝔭12	𝔭12	NUM
cana-526	208	3	′	′	NUM
cana-526	209	1	=	=	SYM
cana-526	209	2	1	1	NUM
cana-526	209	3	𝔮11	𝔮11	NOUN
cana-526	209	4	′	′	NUM
cana-526	210	1	+	+	PROPN
cana-526	210	2	,	,	PUNCT
cana-526	210	3	𝔮12	𝔮12	NOUN
cana-526	210	4	′	′	NOUN
cana-526	210	5	=	=	SYM
cana-526	210	6	1	1	NUM
cana-526	210	7	𝔯11′	𝔯11′	NOUN
cana-526	210	8	+	+	X
cana-526	210	9	𝔯12	𝔯12	ADJ
cana-526	210	10	′	′	NUM
cana-526	210	11	=	=	SYM
cana-526	210	12	1	1	NUM
cana-526	210	13	𝔭′11′	𝔭′11′	NUM
cana-526	210	14	+	+	CCONJ
cana-526	210	15	𝔭12	𝔭12	NUM
cana-526	211	1	′′	′′	NOUN
cana-526	211	2	=	=	NOUN
cana-526	211	3	1	1	NUM
cana-526	211	4	𝔯11′′	𝔯11′′	NUM
cana-526	211	5	+	+	CCONJ
cana-526	211	6	𝔯′12′	𝔯′12′	PROPN
cana-526	211	7	=	=	SYM
cana-526	211	8	1	1	NUM
cana-526	211	9	𝔭21	𝔭21	NOUN
cana-526	211	10	′	′	NUM
cana-526	212	1	+	+	CCONJ
cana-526	212	2	𝔭22	𝔭22	NOUN
cana-526	212	3	′	′	NUM
cana-526	212	4	=	=	SYM
cana-526	212	5	1	1	NUM
cana-526	212	6	𝔮21	𝔮21	NOUN
cana-526	212	7	′	′	NOUN
cana-526	213	1	+	+	CCONJ
cana-526	213	2	𝔮22	𝔮22	NOUN
cana-526	213	3	′	′	NUM
cana-526	213	4	=	=	SYM
cana-526	213	5	1	1	NUM
cana-526	213	6	𝔯11′	𝔯11′	NOUN
cana-526	213	7	+	+	X
cana-526	213	8	𝔯12	𝔯12	ADJ
cana-526	213	9	′	′	NUM
cana-526	213	10	=	=	NOUN
cana-526	213	11	1	1	NUM
cana-526	213	12	𝔭21′′	𝔭21′′	PRON
cana-526	213	13	+	+	NOUN
cana-526	213	14	𝔭′22′	𝔭′22′	PROPN
cana-526	213	15	=	=	SYM
cana-526	213	16	1	1	NUM
cana-526	213	17	𝔯′21′	𝔯′21′	NUM
cana-526	213	18	+	+	CCONJ
cana-526	213	19	𝔯′22	𝔯′22	ADJ
cana-526	213	20	′	′	NUM
cana-526	213	21	=	=	SYM
cana-526	213	22	1	1	NUM
cana-526	213	23	𝔭11	𝔭11	NOUN
cana-526	213	24	′	′	NUM
cana-526	214	1	+	+	CCONJ
cana-526	214	2	𝔭21	𝔭21	ADJ
cana-526	214	3	′	′	NUM
cana-526	215	1	=	=	SYM
cana-526	215	2	1	1	NUM
cana-526	215	3	𝔮11′	𝔮11′	NUM
cana-526	215	4	+	+	CCONJ
cana-526	215	5	𝔮21	𝔮21	NOUN
cana-526	216	1	′	′	NOUN
cana-526	216	2	=	=	SYM
cana-526	216	3	1	1	NUM
cana-526	216	4	𝔯11′	𝔯11′	NOUN
cana-526	216	5	+	+	NUM
cana-526	216	6	𝔯21	𝔯21	NOUN
cana-526	216	7	′	′	NUM
cana-526	216	8	=	=	SYM
cana-526	216	9	1	1	NUM
cana-526	216	10	𝔭′11′	𝔭′11′	NUM
cana-526	216	11	+	+	NUM
cana-526	216	12	𝔭21	𝔭21	NUM
cana-526	216	13	′′	′′	NOUN
cana-526	216	14	=	=	NOUN
cana-526	216	15	1	1	NUM
cana-526	216	16	𝔯′11′	𝔯′11′	NUM
cana-526	216	17	+	+	NUM
cana-526	216	18	𝔯21	𝔯21	NOUN
cana-526	216	19	′′	′′	NOUN
cana-526	216	20	=	=	NOUN
cana-526	216	21	1	1	NUM
cana-526	216	22	𝔭12	𝔭12	NUM
cana-526	216	23	′	′	NUM
cana-526	217	1	+	+	CCONJ
cana-526	217	2	𝔭22	𝔭22	NOUN
cana-526	217	3	′	′	NUM
cana-526	217	4	=	=	SYM
cana-526	217	5	1	1	NUM
cana-526	217	6	𝔮12′	𝔮12′	PROPN
cana-526	217	7	+	+	CCONJ
cana-526	217	8	𝔮22	𝔮22	NOUN
cana-526	217	9	′	′	NOUN
cana-526	217	10	=	=	SYM
cana-526	217	11	1	1	NUM
cana-526	217	12	𝔯12′	𝔯12′	NOUN
cana-526	217	13	+	+	CCONJ
cana-526	217	14	𝔯22	𝔯22	NOUN
cana-526	218	1	′	′	NUM
cana-526	218	2	=	=	SYM
cana-526	218	3	1	1	NUM
cana-526	218	4	𝔭′12′	𝔭′12′	NUM
cana-526	218	5	+	+	CCONJ
cana-526	218	6	𝔭′22	𝔭′22	ADJ
cana-526	218	7	′	′	NOUN
cana-526	218	8	=	=	SYM
cana-526	218	9	1	1	NUM
cana-526	218	10	𝔯′12′	𝔯′12′	PROPN
cana-526	218	11	+	+	PROPN
cana-526	218	12	𝔯′22′	𝔯′22′	PROPN
cana-526	218	13	=	=	SYM
cana-526	218	14	1	1	NUM
cana-526	218	15	5	5	NUM
cana-526	218	16	.	.	PUNCT
cana-526	219	1	by	by	ADP
cana-526	219	2	using	use	VERB
cana-526	219	3	software	software	NOUN
cana-526	219	4	computations	computation	NOUN
cana-526	219	5	we	we	PRON
cana-526	219	6	get	get	VERB
cana-526	219	7	the	the	DET
cana-526	219	8	following	follow	VERB
cana-526	219	9	values	value	NOUN
cana-526	219	10	,	,	PUNCT
cana-526	219	11	𝔭11	𝔭11	NOUN
cana-526	219	12	′	′	NUM
cana-526	219	13	=	=	SYM
cana-526	219	14	1	1	NUM
cana-526	219	15	𝔮11	𝔮11	ADJ
cana-526	219	16	′	′	NOUN
cana-526	219	17	=	=	SYM
cana-526	219	18	1	1	NUM
cana-526	219	19	𝔯11	𝔯11	NOUN
cana-526	219	20	′	′	NUM
cana-526	219	21	=	=	SYM
cana-526	219	22	1	1	NUM
cana-526	219	23	𝔭11	𝔭11	NOUN
cana-526	219	24	′′	′′	NOUN
cana-526	219	25	=	=	NOUN
cana-526	219	26	1	1	NUM
cana-526	219	27	𝔯′11	𝔯′11	NOUN
cana-526	219	28	′	′	NUM
cana-526	219	29	=	=	SYM
cana-526	219	30	1	1	NUM
cana-526	219	31	𝔭12	𝔭12	NUM
cana-526	219	32	′	′	NUM
cana-526	220	1	=	=	SYM
cana-526	220	2	0	0	NUM
cana-526	220	3	𝔮12	𝔮12	NOUN
cana-526	221	1	′	′	NOUN
cana-526	221	2	=	=	SYM
cana-526	221	3	0	0	NUM
cana-526	221	4	𝔯12	𝔯12	NOUN
cana-526	221	5	′	′	NUM
cana-526	222	1	=	=	SYM
cana-526	222	2	0	0	NUM
cana-526	222	3	𝔭′12	𝔭′12	NUM
cana-526	222	4	′	′	NOUN
cana-526	222	5	=	=	NOUN
cana-526	222	6	0	0	NUM
cana-526	222	7	𝔯′12	𝔯′12	ADP
cana-526	222	8	′	′	NUM
cana-526	223	1	=	=	SYM
cana-526	223	2	0	0	NUM
cana-526	223	3	𝔭21	𝔭21	NOUN
cana-526	223	4	′	′	NUM
cana-526	224	1	=	=	SYM
cana-526	224	2	0	0	NUM
cana-526	224	3	𝔮21	𝔮21	NOUN
cana-526	225	1	′	′	NUM
cana-526	225	2	=	=	SYM
cana-526	225	3	0	0	NUM
cana-526	226	1	𝔯21	𝔯21	NOUN
cana-526	226	2	′	′	NUM
cana-526	227	1	=	=	SYM
cana-526	227	2	0	0	NUM
cana-526	228	1	𝔭′21	𝔭′21	NOUN
cana-526	228	2	′	′	NOUN
cana-526	229	1	=	=	SYM
cana-526	229	2	0	0	NUM
cana-526	230	1	𝔯′21	𝔯′21	NUM
cana-526	230	2	′	′	NUM
cana-526	230	3	=	=	SYM
cana-526	230	4	0	0	NUM
cana-526	230	5	𝔭22	𝔭22	NOUN
cana-526	230	6	′	′	NUM
cana-526	231	1	=	=	SYM
cana-526	231	2	1	1	NUM
cana-526	231	3	𝔮22	𝔮22	NOUN
cana-526	231	4	′	′	NUM
cana-526	231	5	=	=	SYM
cana-526	231	6	1	1	NUM
cana-526	231	7	𝔯22	𝔯22	NOUN
cana-526	231	8	′	′	NUM
cana-526	232	1	=	=	SYM
cana-526	232	2	1	1	NUM
cana-526	232	3	𝔭′22	𝔭′22	ADJ
cana-526	232	4	′	′	NUM
cana-526	233	1	=	=	SYM
cana-526	233	2	1	1	NUM
cana-526	233	3	𝔯′22	𝔯′22	ADJ
cana-526	233	4	′	′	NUM
cana-526	233	5	=	=	SYM
cana-526	233	6	1	1	NUM
cana-526	233	7	6	6	NUM
cana-526	233	8	substitute	substitute	NOUN
cana-526	233	9	the	the	DET
cana-526	233	10	above	above	ADJ
cana-526	233	11	values	value	NOUN
cana-526	233	12	in	in	ADP
cana-526	233	13	(	(	PUNCT
cana-526	233	14	i	i	NOUN
cana-526	233	15	)	)	PUNCT
cana-526	233	16	we	we	PRON
cana-526	233	17	get	get	AUX
cana-526	233	18	𝒳~	𝒳~	VERB
cana-526	233	19	11=	11=	NUM
cana-526	233	20	{	{	PUNCT
cana-526	233	21	(	(	PUNCT
cana-526	233	22	1,1,1)(1,1,1	1,1,1)(1,1,1	NUM
cana-526	233	23	)	)	PUNCT
cana-526	233	24	}	}	PUNCT
cana-526	233	25	,	,	PUNCT
cana-526	233	26	𝒳~	𝒳~	VERB
cana-526	233	27	12	12	NUM
cana-526	233	28	=	=	SYM
cana-526	233	29	{	{	PUNCT
cana-526	233	30	(	(	PUNCT
cana-526	233	31	0,0,0)(0,0,0	0,0,0)(0,0,0	NOUN
cana-526	233	32	)	)	PUNCT
cana-526	233	33	}	}	PUNCT
cana-526	233	34	,	,	PUNCT
cana-526	233	35	𝒳~	𝒳~	VERB
cana-526	233	36	21	21	NUM
cana-526	233	37	=	=	SYM
cana-526	233	38	{	{	PUNCT
cana-526	233	39	(	(	PUNCT
cana-526	233	40	0,0,0)(0,0,0	0,0,0)(0,0,0	NOUN
cana-526	233	41	)	)	PUNCT
cana-526	233	42	}	}	PUNCT
cana-526	233	43	,	,	PUNCT
cana-526	233	44	𝒳~	𝒳~	VERB
cana-526	233	45	22	22	NUM
cana-526	233	46	=	=	SYM
cana-526	233	47	{	{	PUNCT
cana-526	233	48	(	(	PUNCT
cana-526	233	49	1,1,1)(1,1,1	1,1,1)(1,1,1	NUM
cana-526	233	50	)	)	PUNCT
cana-526	233	51	}	}	PUNCT
cana-526	233	52	→	→	PUNCT
cana-526	233	53	(	(	PUNCT
cana-526	233	54	𝐼𝐼	𝐼𝐼	PROPN
cana-526	233	55	)	)	PUNCT
cana-526	233	56	7	7	NUM
cana-526	233	57	substitute	substitute	NOUN
cana-526	233	58	(	(	PUNCT
cana-526	233	59	𝐼𝐼	𝐼𝐼	PROPN
cana-526	233	60	)	)	PUNCT
cana-526	233	61	in	in	ADP
cana-526	233	62	the	the	DET
cana-526	233	63	objective	objective	ADJ
cana-526	233	64	function	function	NOUN
cana-526	233	65	,	,	PUNCT
cana-526	233	66	we	we	PRON
cana-526	233	67	get	get	VERB
cana-526	233	68	the	the	DET
cana-526	233	69	optimum	optimum	ADJ
cana-526	233	70	solution	solution	NOUN
cana-526	233	71	of	of	ADP
cana-526	233	72	the	the	DET
cana-526	233	73	pythagorean	pythagorean	PROPN
cana-526	233	74	fuzzy	fuzzy	ADJ
cana-526	233	75	assignment	assignment	NOUN
cana-526	233	76	problem	problem	NOUN
cana-526	233	77	is	be	AUX
cana-526	233	78	{	{	PUNCT
cana-526	233	79	(	(	PUNCT
cana-526	233	80	8,13,19);(4,13,23	8,13,19);(4,13,23	NOUN
cana-526	233	81	)	)	PUNCT
cana-526	233	82	}	}	PUNCT
cana-526	233	83	and	and	CCONJ
cana-526	233	84	the	the	DET
cana-526	233	85	job	job	NOUN
cana-526	233	86	allocations	allocation	NOUN
cana-526	233	87	are	be	AUX
cana-526	233	88	,	,	PUNCT
cana-526	233	89	ℳ1	ℳ1	PROPN
cana-526	233	90	→	→	SYM
cana-526	233	91	𝒥1	𝒥1	PROPN
cana-526	233	92	,	,	PUNCT
cana-526	233	93	ℳ2	ℳ2	PROPN
cana-526	233	94	→	→	SYM
cana-526	233	95	𝒥2	𝒥2	PROPN
cana-526	233	96	4.2	4.2	NUM
cana-526	233	97	.	.	PUNCT
cana-526	234	1	maximization	maximization	NOUN
cana-526	234	2	pythagorean	pythagorean	PROPN
cana-526	234	3	fuzzy	fuzzy	ADJ
cana-526	234	4	assignment	assignment	NOUN
cana-526	234	5	problem	problem	NOUN
cana-526	234	6	a	a	DET
cana-526	234	7	software	software	NOUN
cana-526	234	8	technology	technology	NOUN
cana-526	234	9	consultancy	consultancy	NOUN
cana-526	234	10	wants	want	VERB
cana-526	234	11	to	to	PART
cana-526	234	12	assign	assign	VERB
cana-526	234	13	the	the	DET
cana-526	234	14	project	project	NOUN
cana-526	234	15	work	work	NOUN
cana-526	234	16	to	to	ADP
cana-526	234	17	two	two	NUM
cana-526	234	18	team	team	NOUN
cana-526	234	19	leader	leader	NOUN
cana-526	234	20	.	.	PUNCT
cana-526	235	1	they	they	PRON
cana-526	235	2	are	be	AUX
cana-526	235	3	receiving	receive	VERB
cana-526	235	4	the	the	DET
cana-526	235	5	quotation	quotation	NOUN
cana-526	235	6	from	from	ADP
cana-526	235	7	the	the	DET
cana-526	235	8	team	team	NOUN
cana-526	235	9	leader	leader	NOUN
cana-526	235	10	for	for	ADP
cana-526	235	11	various	various	ADJ
cana-526	235	12	working	work	VERB
cana-526	235	13	cost	cost	NOUN
cana-526	235	14	.	.	PUNCT
cana-526	236	1	company	company	NOUN
cana-526	236	2	wants	want	VERB
cana-526	236	3	to	to	PART
cana-526	236	4	increase	increase	VERB
cana-526	236	5	their	their	PRON
cana-526	236	6	revenue	revenue	NOUN
cana-526	236	7	.	.	PUNCT
cana-526	237	1	how	how	SCONJ
cana-526	237	2	can	can	AUX
cana-526	237	3	they	they	PRON
cana-526	237	4	assign	assign	VERB
cana-526	237	5	the	the	DET
cana-526	237	6	work	work	NOUN
cana-526	237	7	to	to	ADP
cana-526	237	8	the	the	DET
cana-526	237	9	team	team	NOUN
cana-526	237	10	for	for	ADP
cana-526	237	11	increasing	increase	VERB
cana-526	237	12	their	their	PRON
cana-526	237	13	profit	profit	NOUN
cana-526	237	14	?	?	PUNCT
cana-526	238	1	the	the	DET
cana-526	238	2	working	work	VERB
cana-526	238	3	costs	cost	NOUN
cana-526	238	4	are	be	AUX
cana-526	238	5	given	give	VERB
cana-526	238	6	in	in	ADP
cana-526	238	7	the	the	DET
cana-526	238	8	following	follow	VERB
cana-526	238	9	table	table	NOUN
cana-526	238	10	.	.	PUNCT
cana-526	239	1	team	team	NOUN
cana-526	239	2	1	1	NUM
cana-526	239	3	team	team	NOUN
cana-526	239	4	2	2	NUM
cana-526	239	5	project	project	NOUN
cana-526	239	6	1	1	NUM
cana-526	239	7	(	(	PUNCT
cana-526	239	8	4,6,8	4,6,8	NUM
cana-526	239	9	)	)	PUNCT
cana-526	239	10	(	(	PUNCT
cana-526	239	11	1,6,11	1,6,11	NUM
cana-526	239	12	)	)	PUNCT
cana-526	239	13	(	(	PUNCT
cana-526	239	14	4,7,9	4,7,9	NUM
cana-526	239	15	)	)	PUNCT
cana-526	239	16	(	(	PUNCT
cana-526	239	17	2,7,14	2,7,14	NUM
cana-526	239	18	)	)	PUNCT
cana-526	239	19	project	project	NOUN
cana-526	239	20	2	2	NUM
cana-526	239	21	(	(	PUNCT
cana-526	239	22	3,4,6	3,4,6	NUM
cana-526	239	23	)	)	PUNCT
cana-526	239	24	(	(	PUNCT
cana-526	239	25	1,4,8	1,4,8	NUM
cana-526	239	26	)	)	PUNCT
cana-526	239	27	(	(	PUNCT
cana-526	239	28	5,8,9	5,8,9	NUM
cana-526	239	29	)	)	PUNCT
cana-526	239	30	(	(	PUNCT
cana-526	239	31	3,8,13	3,8,13	NUM
cana-526	239	32	)	)	PUNCT
cana-526	239	33	where	where	SCONJ
cana-526	239	34	the	the	DET
cana-526	239	35	cost	cost	NOUN
cana-526	239	36	entries	entry	NOUN
cana-526	239	37	are	be	AUX
cana-526	239	38	in	in	ADP
cana-526	239	39	triangular	triangular	NOUN
cana-526	239	40	pythagorean	pythagorean	ADJ
cana-526	239	41	fuzzy	fuzzy	ADJ
cana-526	239	42	number	number	NOUN
cana-526	239	43	.	.	PUNCT
cana-526	240	1	communications	communication	NOUN
cana-526	240	2	on	on	ADP
cana-526	240	3	applied	apply	VERB
cana-526	240	4	nonlinear	nonlinear	ADJ
cana-526	240	5	analysis	analysis	NOUN
cana-526	240	6	issn	issn	NOUN
cana-526	240	7	:	:	PUNCT
cana-526	240	8	1074	1074	NUM
cana-526	240	9	-	-	PUNCT
cana-526	240	10	133x	133x	NUM
cana-526	240	11	vol	vol	NOUN
cana-526	240	12	31	31	NUM
cana-526	240	13	no	no	NOUN
cana-526	240	14	.	.	NOUN
cana-526	240	15	2	2	NUM
cana-526	240	16	(	(	PUNCT
cana-526	240	17	2024	2024	NUM
cana-526	240	18	)	)	PUNCT
cana-526	240	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	240	20	150	150	NUM
cana-526	240	21	solution	solution	NOUN
cana-526	240	22	1	1	NUM
cana-526	240	23	let	let	VERB
cana-526	240	24	𝒳~	𝒳~	VERB
cana-526	240	25	11=	11=	NUM
cana-526	240	26	{	{	PUNCT
cana-526	240	27	(	(	PUNCT
cana-526	240	28	𝔭11′	𝔭11′	NOUN
cana-526	240	29	,	,	PUNCT
cana-526	240	30	𝔮11	𝔮11	ADJ
cana-526	240	31	′	′	NOUN
cana-526	240	32	,	,	PUNCT
cana-526	240	33	𝔯11	𝔯11	NOUN
cana-526	240	34	′	′	NUM
cana-526	240	35	)	)	PUNCT
cana-526	240	36	(	(	PUNCT
cana-526	240	37	𝔭11′′	𝔭11′′	NUM
cana-526	240	38	,	,	PUNCT
cana-526	240	39	𝔮11	𝔮11	ADJ
cana-526	240	40	′	′	NUM
cana-526	240	41	,	,	PUNCT
cana-526	240	42	𝔯11′′	𝔯11′′	NUM
cana-526	240	43	)	)	PUNCT
cana-526	240	44	}	}	PUNCT
cana-526	240	45	𝒳~	𝒳~	VERB
cana-526	240	46	12	12	NUM
cana-526	240	47	=	=	SYM
cana-526	240	48	{	{	PUNCT
cana-526	240	49	(	(	PUNCT
cana-526	240	50	𝔭12′	𝔭12′	X
cana-526	240	51	,	,	PUNCT
cana-526	240	52	𝔮12	𝔮12	NOUN
cana-526	240	53	′	′	NOUN
cana-526	240	54	,	,	PUNCT
cana-526	240	55	𝔯12	𝔯12	PROPN
cana-526	240	56	′	′	NUM
cana-526	240	57	)	)	PUNCT
cana-526	241	1	(	(	PUNCT
cana-526	241	2	𝔭12′′	𝔭12′′	NUM
cana-526	241	3	,	,	PUNCT
cana-526	241	4	𝔮12	𝔮12	NOUN
cana-526	241	5	′	′	NOUN
cana-526	241	6	,	,	PUNCT
cana-526	241	7	𝔯′12′	𝔯′12′	PROPN
cana-526	241	8	)	)	PUNCT
cana-526	241	9	}	}	PUNCT
cana-526	241	10	𝒳~	𝒳~	VERB
cana-526	241	11	21	21	NUM
cana-526	241	12	=	=	SYM
cana-526	241	13	{	{	PUNCT
cana-526	241	14	(	(	PUNCT
cana-526	241	15	𝔭21′	𝔭21′	NOUN
cana-526	241	16	,	,	PUNCT
cana-526	241	17	𝔮21	𝔮21	NOUN
cana-526	241	18	′	′	NUM
cana-526	241	19	,	,	PUNCT
cana-526	241	20	𝔯21	𝔯21	NOUN
cana-526	241	21	′	′	NUM
cana-526	241	22	)	)	PUNCT
cana-526	241	23	(	(	PUNCT
cana-526	241	24	𝔭21′′	𝔭21′′	INTJ
cana-526	241	25	,	,	PUNCT
cana-526	241	26	𝔮21	𝔮21	NOUN
cana-526	241	27	′	′	NUM
cana-526	241	28	,	,	PUNCT
cana-526	241	29	𝔯21′′	𝔯21′′	PROPN
cana-526	241	30	)	)	PUNCT
cana-526	241	31	}	}	PUNCT
cana-526	241	32	→	→	SYM
cana-526	241	33	(	(	PUNCT
cana-526	241	34	𝐼	𝐼	PROPN
cana-526	241	35	)	)	PUNCT
cana-526	241	36	𝒳~	𝒳~	VERB
cana-526	241	37	22=	22=	NUM
cana-526	241	38	{	{	PUNCT
cana-526	241	39	(	(	PUNCT
cana-526	241	40	𝔭22′	𝔭22′	PROPN
cana-526	241	41	,	,	PUNCT
cana-526	241	42	𝔮22	𝔮22	NOUN
cana-526	241	43	′	′	NOUN
cana-526	241	44	,	,	PUNCT
cana-526	241	45	𝔯22	𝔯22	NOUN
cana-526	241	46	′	′	NUM
cana-526	241	47	)	)	PUNCT
cana-526	242	1	(	(	PUNCT
cana-526	242	2	𝔭′22	𝔭′22	ADJ
cana-526	242	3	′	′	NOUN
cana-526	242	4	,	,	PUNCT
cana-526	242	5	𝔮22	𝔮22	NOUN
cana-526	242	6	′	′	NOUN
cana-526	242	7	,	,	PUNCT
cana-526	243	1	𝔯′22′	𝔯′22′	PROPN
cana-526	243	2	)	)	PUNCT
cana-526	243	3	}	}	PUNCT
cana-526	243	4	then	then	ADV
cana-526	243	5	the	the	DET
cana-526	243	6	above	above	ADJ
cana-526	243	7	problem	problem	NOUN
cana-526	243	8	can	can	AUX
cana-526	243	9	be	be	AUX
cana-526	243	10	written	write	VERB
cana-526	243	11	as	as	ADP
cana-526	243	12	,	,	PUNCT
cana-526	243	13	maximize	maximize	VERB
cana-526	243	14	𝒵~=	𝒵~=	PROPN
cana-526	243	15	{	{	PUNCT
cana-526	243	16	(	(	PUNCT
cana-526	243	17	4	4	NUM
cana-526	243	18	,	,	PUNCT
cana-526	243	19	6	6	NUM
cana-526	243	20	,	,	PUNCT
cana-526	243	21	8)	8)	NUM
cana-526	243	22	(	(	PUNCT
cana-526	243	23	1	1	NUM
cana-526	243	24	,	,	PUNCT
cana-526	243	25	6	6	NUM
cana-526	243	26	,	,	PUNCT
cana-526	243	27	11	11	NUM
cana-526	243	28	)	)	PUNCT
cana-526	243	29	}	}	PUNCT
cana-526	243	30	{	{	PUNCT
cana-526	243	31	(	(	PUNCT
cana-526	243	32	𝔭11′	𝔭11′	NOUN
cana-526	243	33	,	,	PUNCT
cana-526	243	34	𝔮11	𝔮11	ADJ
cana-526	243	35	′	′	NOUN
cana-526	243	36	,	,	PUNCT
cana-526	243	37	𝔯11	𝔯11	NOUN
cana-526	243	38	′	′	NUM
cana-526	243	39	)	)	PUNCT
cana-526	244	1	(	(	PUNCT
cana-526	244	2	𝔭11′′	𝔭11′′	NUM
cana-526	244	3	,	,	PUNCT
cana-526	244	4	𝔮11	𝔮11	ADJ
cana-526	244	5	′	′	NUM
cana-526	244	6	,	,	PUNCT
cana-526	244	7	𝔯11′′	𝔯11′′	NUM
cana-526	244	8	)	)	PUNCT
cana-526	244	9	}	}	PUNCT
cana-526	244	10	+	+	CCONJ
cana-526	244	11	{	{	PUNCT
cana-526	244	12	(	(	PUNCT
cana-526	244	13	4	4	NUM
cana-526	244	14	,	,	PUNCT
cana-526	244	15	7	7	NUM
cana-526	244	16	,	,	PUNCT
cana-526	244	17	9	9	NUM
cana-526	244	18	)	)	PUNCT
cana-526	244	19	(	(	PUNCT
cana-526	244	20	2	2	NUM
cana-526	244	21	,	,	PUNCT
cana-526	244	22	7	7	NUM
cana-526	244	23	,	,	PUNCT
cana-526	244	24	14	14	NUM
cana-526	244	25	)	)	PUNCT
cana-526	244	26	}	}	PUNCT
cana-526	244	27	{	{	PUNCT
cana-526	244	28	(	(	PUNCT
cana-526	244	29	𝔭12′	𝔭12′	X
cana-526	244	30	,	,	PUNCT
cana-526	244	31	𝔮12	𝔮12	NOUN
cana-526	244	32	′	′	NOUN
cana-526	244	33	,	,	PUNCT
cana-526	244	34	𝔯12	𝔯12	PROPN
cana-526	244	35	′	′	NUM
cana-526	244	36	)	)	PUNCT
cana-526	245	1	(	(	PUNCT
cana-526	245	2	𝔭12′′	𝔭12′′	NUM
cana-526	245	3	,	,	PUNCT
cana-526	245	4	𝔮12	𝔮12	NOUN
cana-526	245	5	′	′	NOUN
cana-526	245	6	,	,	PUNCT
cana-526	245	7	𝔯′12′	𝔯′12′	PROPN
cana-526	245	8	)	)	PUNCT
cana-526	245	9	}	}	PUNCT
cana-526	245	10	+	+	CCONJ
cana-526	245	11	{	{	PUNCT
cana-526	245	12	(	(	PUNCT
cana-526	245	13	3,4	3,4	NUM
cana-526	245	14	,	,	PUNCT
cana-526	245	15	6	6	NUM
cana-526	245	16	)	)	PUNCT
cana-526	245	17	(	(	PUNCT
cana-526	245	18	1,4,8	1,4,8	NUM
cana-526	245	19	)	)	PUNCT
cana-526	245	20	}	}	PUNCT
cana-526	245	21	{	{	PUNCT
cana-526	245	22	(	(	PUNCT
cana-526	245	23	𝔭21′	𝔭21′	NOUN
cana-526	245	24	,	,	PUNCT
cana-526	245	25	𝔮21	𝔮21	NOUN
cana-526	245	26	′	′	NUM
cana-526	245	27	,	,	PUNCT
cana-526	245	28	𝔯21	𝔯21	NOUN
cana-526	245	29	′	′	NUM
cana-526	245	30	)	)	PUNCT
cana-526	245	31	(	(	PUNCT
cana-526	245	32	𝔭21′′	𝔭21′′	INTJ
cana-526	245	33	,	,	PUNCT
cana-526	245	34	𝔮21	𝔮21	NOUN
cana-526	245	35	′	′	NUM
cana-526	245	36	,	,	PUNCT
cana-526	245	37	𝔯21′′	𝔯21′′	PROPN
cana-526	245	38	)	)	PUNCT
cana-526	245	39	}	}	PUNCT
cana-526	245	40	+	+	CCONJ
cana-526	245	41	{	{	PUNCT
cana-526	245	42	(	(	PUNCT
cana-526	245	43	5	5	NUM
cana-526	245	44	,	,	PUNCT
cana-526	245	45	8	8	NUM
cana-526	245	46	,	,	PUNCT
cana-526	245	47	9	9	NUM
cana-526	245	48	)	)	PUNCT
cana-526	245	49	(	(	PUNCT
cana-526	245	50	3	3	NUM
cana-526	245	51	,	,	PUNCT
cana-526	245	52	8,13	8,13	NUM
cana-526	245	53	)	)	PUNCT
cana-526	245	54	}	}	PUNCT
cana-526	245	55	{	{	PUNCT
cana-526	245	56	(	(	PUNCT
cana-526	245	57	𝔭22′	𝔭22′	PROPN
cana-526	245	58	,	,	PUNCT
cana-526	245	59	𝔮22	𝔮22	NOUN
cana-526	245	60	′	′	NOUN
cana-526	245	61	,	,	PUNCT
cana-526	245	62	𝔯22	𝔯22	NOUN
cana-526	245	63	′	′	NUM
cana-526	245	64	)	)	PUNCT
cana-526	245	65	(	(	PUNCT
cana-526	245	66	𝔭′22	𝔭′22	ADJ
cana-526	245	67	′	′	NOUN
cana-526	245	68	,	,	PUNCT
cana-526	245	69	𝔮22	𝔮22	NOUN
cana-526	245	70	′	′	NOUN
cana-526	245	71	,	,	PUNCT
cana-526	245	72	𝔯′22′	𝔯′22′	PROPN
cana-526	245	73	)	)	PUNCT
cana-526	245	74	}	}	PUNCT
cana-526	245	75	subject	subject	ADJ
cana-526	245	76	to	to	ADP
cana-526	245	77	{	{	PUNCT
cana-526	245	78	(	(	PUNCT
cana-526	245	79	𝔭11′	𝔭11′	NOUN
cana-526	245	80	,	,	PUNCT
cana-526	245	81	𝔮11	𝔮11	ADJ
cana-526	245	82	′	′	NOUN
cana-526	245	83	,	,	PUNCT
cana-526	245	84	𝔯11	𝔯11	NOUN
cana-526	245	85	′	′	NUM
cana-526	245	86	)	)	PUNCT
cana-526	245	87	(	(	PUNCT
cana-526	245	88	𝔭11′′	𝔭11′′	NUM
cana-526	245	89	,	,	PUNCT
cana-526	245	90	𝔮11	𝔮11	ADJ
cana-526	245	91	′	′	NUM
cana-526	245	92	,	,	PUNCT
cana-526	245	93	𝔯11′′	𝔯11′′	NUM
cana-526	245	94	)	)	PUNCT
cana-526	245	95	}	}	PUNCT
cana-526	246	1	+	+	CCONJ
cana-526	246	2	{	{	PUNCT
cana-526	246	3	(	(	PUNCT
cana-526	246	4	𝔭12′	𝔭12′	X
cana-526	246	5	,	,	PUNCT
cana-526	246	6	𝔮12	𝔮12	NOUN
cana-526	246	7	′	′	NOUN
cana-526	246	8	,	,	PUNCT
cana-526	246	9	𝔯12	𝔯12	PROPN
cana-526	246	10	′	′	NUM
cana-526	246	11	)	)	PUNCT
cana-526	246	12	(	(	PUNCT
cana-526	246	13	𝔭12′′	𝔭12′′	NUM
cana-526	246	14	,	,	PUNCT
cana-526	246	15	𝔮12	𝔮12	NOUN
cana-526	246	16	′	′	NOUN
cana-526	246	17	,	,	PUNCT
cana-526	246	18	𝔯′12′	𝔯′12′	PROPN
cana-526	246	19	)	)	PUNCT
cana-526	246	20	}	}	PUNCT
cana-526	246	21	=	=	SYM
cana-526	246	22	1	1	X
cana-526	246	23	{	{	PUNCT
cana-526	246	24	(	(	PUNCT
cana-526	246	25	𝔭21′	𝔭21′	NOUN
cana-526	246	26	,	,	PUNCT
cana-526	246	27	𝔮21	𝔮21	NOUN
cana-526	246	28	′	′	NUM
cana-526	246	29	,	,	PUNCT
cana-526	246	30	𝔯21	𝔯21	NOUN
cana-526	246	31	′	′	NUM
cana-526	246	32	)	)	PUNCT
cana-526	246	33	(	(	PUNCT
cana-526	246	34	𝔭21′′	𝔭21′′	INTJ
cana-526	246	35	,	,	PUNCT
cana-526	246	36	𝔮21	𝔮21	NOUN
cana-526	246	37	′	′	NUM
cana-526	246	38	,	,	PUNCT
cana-526	246	39	𝔯21′′	𝔯21′′	PROPN
cana-526	246	40	)	)	PUNCT
cana-526	246	41	}	}	PUNCT
cana-526	246	42	+	+	CCONJ
cana-526	246	43	{	{	PUNCT
cana-526	246	44	(	(	PUNCT
cana-526	246	45	𝔭22′	𝔭22′	PROPN
cana-526	246	46	,	,	PUNCT
cana-526	246	47	𝔮22	𝔮22	NOUN
cana-526	246	48	′	′	NOUN
cana-526	246	49	,	,	PUNCT
cana-526	246	50	𝔯22	𝔯22	NOUN
cana-526	246	51	′	′	NUM
cana-526	246	52	)	)	PUNCT
cana-526	246	53	(	(	PUNCT
cana-526	246	54	𝔭′22	𝔭′22	ADJ
cana-526	246	55	′	′	NOUN
cana-526	246	56	,	,	PUNCT
cana-526	246	57	𝔮22	𝔮22	NOUN
cana-526	246	58	′	′	NOUN
cana-526	246	59	,	,	PUNCT
cana-526	246	60	𝔯′22′	𝔯′22′	ADV
cana-526	246	61	)	)	PUNCT
cana-526	246	62	}	}	PUNCT
cana-526	246	63	=	=	SYM
cana-526	246	64	1	1	NUM
cana-526	246	65	{	{	PUNCT
cana-526	246	66	(	(	PUNCT
cana-526	246	67	𝔭11′	𝔭11′	NOUN
cana-526	246	68	,	,	PUNCT
cana-526	246	69	𝔮11	𝔮11	ADJ
cana-526	246	70	′	′	NOUN
cana-526	246	71	,	,	PUNCT
cana-526	246	72	𝔯11	𝔯11	NOUN
cana-526	246	73	′	′	NUM
cana-526	246	74	)	)	PUNCT
cana-526	246	75	(	(	PUNCT
cana-526	246	76	𝔭11′′	𝔭11′′	NUM
cana-526	246	77	,	,	PUNCT
cana-526	246	78	𝔮11	𝔮11	ADJ
cana-526	246	79	′	′	NUM
cana-526	246	80	,	,	PUNCT
cana-526	246	81	𝔯11′′	𝔯11′′	NUM
cana-526	246	82	)	)	PUNCT
cana-526	246	83	}	}	PUNCT
cana-526	246	84	+	+	CCONJ
cana-526	246	85	{	{	PUNCT
cana-526	246	86	(	(	PUNCT
cana-526	246	87	𝔭21′	𝔭21′	NOUN
cana-526	246	88	,	,	PUNCT
cana-526	246	89	𝔮21	𝔮21	NOUN
cana-526	246	90	′	′	NUM
cana-526	246	91	,	,	PUNCT
cana-526	246	92	𝔯21	𝔯21	NOUN
cana-526	246	93	′	′	NUM
cana-526	246	94	)	)	PUNCT
cana-526	246	95	(	(	PUNCT
cana-526	246	96	𝔭21′′	𝔭21′′	INTJ
cana-526	246	97	,	,	PUNCT
cana-526	246	98	𝔮21	𝔮21	NOUN
cana-526	246	99	′	′	NUM
cana-526	246	100	,	,	PUNCT
cana-526	246	101	𝔯21′′	𝔯21′′	PROPN
cana-526	246	102	)	)	PUNCT
cana-526	246	103	}	}	PUNCT
cana-526	246	104	=	=	SYM
cana-526	246	105	1	1	NUM
cana-526	246	106	{	{	PUNCT
cana-526	246	107	(	(	PUNCT
cana-526	246	108	𝔭12′	𝔭12′	X
cana-526	246	109	,	,	PUNCT
cana-526	246	110	𝔮12	𝔮12	NOUN
cana-526	246	111	′	′	NOUN
cana-526	246	112	,	,	PUNCT
cana-526	246	113	𝔯12	𝔯12	PROPN
cana-526	246	114	′	′	NUM
cana-526	246	115	)	)	PUNCT
cana-526	246	116	(	(	PUNCT
cana-526	246	117	𝔭12′′	𝔭12′′	NUM
cana-526	246	118	,	,	PUNCT
cana-526	246	119	𝔮12	𝔮12	NOUN
cana-526	246	120	′	′	NOUN
cana-526	246	121	,	,	PUNCT
cana-526	246	122	𝔯′12′	𝔯′12′	PROPN
cana-526	246	123	)	)	PUNCT
cana-526	246	124	}	}	PUNCT
cana-526	246	125	+	+	CCONJ
cana-526	246	126	{	{	PUNCT
cana-526	246	127	(	(	PUNCT
cana-526	246	128	𝔭22′	𝔭22′	PROPN
cana-526	246	129	,	,	PUNCT
cana-526	246	130	𝔮22	𝔮22	NOUN
cana-526	246	131	′	′	NOUN
cana-526	246	132	,	,	PUNCT
cana-526	246	133	𝔯22	𝔯22	NOUN
cana-526	246	134	′	′	NUM
cana-526	246	135	)	)	PUNCT
cana-526	246	136	(	(	PUNCT
cana-526	246	137	𝔭′22	𝔭′22	ADJ
cana-526	246	138	′	′	NOUN
cana-526	246	139	,	,	PUNCT
cana-526	246	140	𝔮22	𝔮22	NOUN
cana-526	246	141	′	′	NOUN
cana-526	246	142	,	,	PUNCT
cana-526	246	143	𝔯′22′	𝔯′22′	ADV
cana-526	246	144	)	)	PUNCT
cana-526	246	145	}	}	PUNCT
cana-526	246	146	=	=	SYM
cana-526	246	147	1	1	NUM
cana-526	246	148	where	where	SCONJ
cana-526	246	149	{	{	PUNCT
cana-526	246	150	(	(	PUNCT
cana-526	246	151	𝔭11′	𝔭11′	NOUN
cana-526	246	152	,	,	PUNCT
cana-526	246	153	𝔮11	𝔮11	ADJ
cana-526	246	154	′	′	NOUN
cana-526	246	155	,	,	PUNCT
cana-526	246	156	𝔯11	𝔯11	NOUN
cana-526	246	157	′	′	NUM
cana-526	246	158	)	)	PUNCT
cana-526	246	159	(	(	PUNCT
cana-526	246	160	𝔭11′′	𝔭11′′	NUM
cana-526	246	161	,	,	PUNCT
cana-526	246	162	𝔮11	𝔮11	ADJ
cana-526	246	163	′	′	NUM
cana-526	246	164	,	,	PUNCT
cana-526	246	165	𝔯11′′	𝔯11′′	NUM
cana-526	246	166	)	)	PUNCT
cana-526	246	167	}	}	PUNCT
cana-526	246	168	,	,	PUNCT
cana-526	246	169	{	{	PUNCT
cana-526	246	170	(	(	PUNCT
cana-526	246	171	𝔭12′	𝔭12′	X
cana-526	246	172	,	,	PUNCT
cana-526	246	173	𝔮12	𝔮12	NOUN
cana-526	246	174	′	′	NOUN
cana-526	246	175	,	,	PUNCT
cana-526	246	176	𝔯12	𝔯12	PROPN
cana-526	246	177	′	′	NUM
cana-526	246	178	)	)	PUNCT
cana-526	246	179	(	(	PUNCT
cana-526	246	180	𝔭12′′	𝔭12′′	NUM
cana-526	246	181	,	,	PUNCT
cana-526	246	182	𝔮12	𝔮12	NOUN
cana-526	246	183	′	′	NOUN
cana-526	246	184	,	,	PUNCT
cana-526	246	185	𝔯′12′	𝔯′12′	PROPN
cana-526	246	186	)	)	PUNCT
cana-526	246	187	}	}	PUNCT
cana-526	246	188	,	,	PUNCT
cana-526	246	189	{	{	PUNCT
cana-526	246	190	(	(	PUNCT
cana-526	246	191	𝔭21′	𝔭21′	NOUN
cana-526	246	192	,	,	PUNCT
cana-526	246	193	𝔮21	𝔮21	NOUN
cana-526	246	194	′	′	NUM
cana-526	246	195	,	,	PUNCT
cana-526	246	196	𝔯21	𝔯21	NOUN
cana-526	246	197	′	′	NUM
cana-526	246	198	)	)	PUNCT
cana-526	246	199	(	(	PUNCT
cana-526	246	200	𝔭21′′	𝔭21′′	INTJ
cana-526	246	201	,	,	PUNCT
cana-526	246	202	𝔮21	𝔮21	NOUN
cana-526	246	203	′	′	NUM
cana-526	246	204	,	,	PUNCT
cana-526	246	205	𝔯21′′	𝔯21′′	PROPN
cana-526	246	206	)	)	PUNCT
cana-526	246	207	}	}	PUNCT
cana-526	246	208	,	,	PUNCT
cana-526	246	209	{	{	PUNCT
cana-526	246	210	(	(	PUNCT
cana-526	246	211	𝔭22′	𝔭22′	PROPN
cana-526	246	212	,	,	PUNCT
cana-526	246	213	𝔮22	𝔮22	NOUN
cana-526	246	214	′	′	NOUN
cana-526	246	215	,	,	PUNCT
cana-526	246	216	𝔯22	𝔯22	NOUN
cana-526	246	217	′	′	NUM
cana-526	246	218	)	)	PUNCT
cana-526	246	219	(	(	PUNCT
cana-526	246	220	𝔭′22	𝔭′22	ADJ
cana-526	246	221	′	′	NOUN
cana-526	246	222	,	,	PUNCT
cana-526	246	223	𝔮22	𝔮22	NOUN
cana-526	246	224	′	′	NOUN
cana-526	246	225	,	,	PUNCT
cana-526	246	226	𝔯′22′	𝔯′22′	PROPN
cana-526	246	227	)	)	PUNCT
cana-526	246	228	are	be	AUX
cana-526	246	229	all	all	PRON
cana-526	246	230	≥	≥	NOUN
cana-526	246	231	0	0	NUM
cana-526	246	232	.	.	NOUN
cana-526	246	233	2	2	NUM
cana-526	246	234	maximize	maximize	VERB
cana-526	246	235	𝒵~=	𝒵~=	NUM
cana-526	246	236	{	{	PUNCT
cana-526	246	237	(	(	PUNCT
cana-526	246	238	4𝔭11′	4𝔭11′	INTJ
cana-526	246	239	,	,	PUNCT
cana-526	246	240	6𝔮11′	6𝔮11′	NUM
cana-526	246	241	,	,	PUNCT
cana-526	246	242	8𝔯11′	8𝔯11′	NUM
cana-526	246	243	)	)	PUNCT
cana-526	246	244	(	(	PUNCT
cana-526	246	245	1𝔭11′′	1𝔭11′′	NUM
cana-526	246	246	,	,	PUNCT
cana-526	246	247	6𝔮11′	6𝔮11′	NUM
cana-526	246	248	,	,	PUNCT
cana-526	246	249	11𝔯11′′	11𝔯11′′	NUM
cana-526	246	250	)	)	PUNCT
cana-526	246	251	}	}	PUNCT
cana-526	246	252	+	+	CCONJ
cana-526	246	253	{	{	PUNCT
cana-526	246	254	(	(	PUNCT
cana-526	246	255	4𝔭12′	4𝔭12′	X
cana-526	246	256	,	,	PUNCT
cana-526	246	257	7𝔮12′	7𝔮12′	PROPN
cana-526	246	258	,	,	PUNCT
cana-526	246	259	9𝔯12′	9𝔯12′	NUM
cana-526	246	260	)	)	PUNCT
cana-526	246	261	(	(	PUNCT
cana-526	246	262	2𝔭12′′	2𝔭12′′	NUM
cana-526	246	263	,	,	PUNCT
cana-526	246	264	7𝔮12′	7𝔮12′	PROPN
cana-526	246	265	,	,	PUNCT
cana-526	246	266	14𝔯12′	14𝔯12′	X
cana-526	246	267	)	)	PUNCT
cana-526	246	268	}	}	PUNCT
cana-526	246	269	+	+	CCONJ
cana-526	246	270	{	{	PUNCT
cana-526	246	271	(	(	PUNCT
cana-526	246	272	3𝔭21′	3𝔭21′	NUM
cana-526	246	273	,	,	PUNCT
cana-526	246	274	4𝔮21′	4𝔮21′	NUM
cana-526	246	275	,	,	PUNCT
cana-526	246	276	6𝔯21′	6𝔯21′	NUM
cana-526	246	277	)	)	PUNCT
cana-526	246	278	(	(	PUNCT
cana-526	246	279	1𝔭21′′	1𝔭21′′	NUM
cana-526	246	280	,	,	PUNCT
cana-526	246	281	4𝔮21′	4𝔮21′	NUM
cana-526	246	282	,	,	PUNCT
cana-526	246	283	8𝔯21′′	8𝔯21′′	NUM
cana-526	246	284	)	)	PUNCT
cana-526	246	285	}	}	PUNCT
cana-526	246	286	+	+	CCONJ
cana-526	246	287	{	{	PUNCT
cana-526	246	288	(	(	PUNCT
cana-526	246	289	5𝔭22′	5𝔭22′	NOUN
cana-526	246	290	,	,	PUNCT
cana-526	246	291	8𝔮22′	8𝔮22′	NUM
cana-526	246	292	,	,	PUNCT
cana-526	246	293	9𝔯22′	9𝔯22′	NUM
cana-526	246	294	)	)	PUNCT
cana-526	246	295	(	(	PUNCT
cana-526	246	296	3𝔭22′′	3𝔭22′′	NUM
cana-526	246	297	,	,	PUNCT
cana-526	246	298	8𝔮22′	8𝔮22′	NUM
cana-526	246	299	,	,	PUNCT
cana-526	246	300	13𝔯22′′	13𝔯22′′	NUM
cana-526	246	301	)	)	PUNCT
cana-526	246	302	}	}	PUNCT
cana-526	246	303	subject	subject	ADJ
cana-526	246	304	to	to	ADP
cana-526	246	305	{	{	PUNCT
cana-526	246	306	(	(	PUNCT
cana-526	246	307	𝔭11′	𝔭11′	NOUN
cana-526	246	308	,	,	PUNCT
cana-526	246	309	𝔮11	𝔮11	ADJ
cana-526	246	310	′	′	NOUN
cana-526	246	311	,	,	PUNCT
cana-526	246	312	𝔯11	𝔯11	NOUN
cana-526	246	313	′	′	NUM
cana-526	246	314	)	)	PUNCT
cana-526	247	1	(	(	PUNCT
cana-526	247	2	𝔭11′′	𝔭11′′	NUM
cana-526	247	3	,	,	PUNCT
cana-526	247	4	𝔮11	𝔮11	ADJ
cana-526	247	5	′	′	NUM
cana-526	247	6	,	,	PUNCT
cana-526	247	7	𝔯11′′	𝔯11′′	NUM
cana-526	247	8	)	)	PUNCT
cana-526	247	9	}	}	PUNCT
cana-526	247	10	+	+	CCONJ
cana-526	247	11	{	{	PUNCT
cana-526	247	12	(	(	PUNCT
cana-526	247	13	𝔭12′	𝔭12′	X
cana-526	247	14	,	,	PUNCT
cana-526	247	15	𝔮12	𝔮12	NOUN
cana-526	247	16	′	′	NOUN
cana-526	247	17	,	,	PUNCT
cana-526	247	18	𝔯12	𝔯12	PROPN
cana-526	247	19	′	′	NUM
cana-526	247	20	)	)	PUNCT
cana-526	248	1	(	(	PUNCT
cana-526	248	2	𝔭12′′	𝔭12′′	NUM
cana-526	248	3	,	,	PUNCT
cana-526	248	4	𝔮12	𝔮12	NOUN
cana-526	248	5	′	′	NOUN
cana-526	248	6	,	,	PUNCT
cana-526	248	7	𝔯′12′	𝔯′12′	PROPN
cana-526	248	8	)	)	PUNCT
cana-526	248	9	}	}	PUNCT
cana-526	249	1	=	=	SYM
cana-526	249	2	1	1	NUM
cana-526	249	3	{	{	PUNCT
cana-526	249	4	(	(	PUNCT
cana-526	249	5	𝔭21′	𝔭21′	NOUN
cana-526	249	6	,	,	PUNCT
cana-526	249	7	𝔮21	𝔮21	NOUN
cana-526	249	8	′	′	NUM
cana-526	249	9	,	,	PUNCT
cana-526	249	10	𝔯21	𝔯21	NOUN
cana-526	249	11	′	′	NUM
cana-526	249	12	)	)	PUNCT
cana-526	249	13	(	(	PUNCT
cana-526	249	14	𝔭21′′	𝔭21′′	INTJ
cana-526	249	15	,	,	PUNCT
cana-526	249	16	𝔮21	𝔮21	NOUN
cana-526	249	17	′	′	NUM
cana-526	249	18	,	,	PUNCT
cana-526	249	19	𝔯21′′	𝔯21′′	PROPN
cana-526	249	20	)	)	PUNCT
cana-526	249	21	}	}	PUNCT
cana-526	249	22	+	+	CCONJ
cana-526	249	23	{	{	PUNCT
cana-526	249	24	(	(	PUNCT
cana-526	249	25	𝔭22′	𝔭22′	PROPN
cana-526	249	26	,	,	PUNCT
cana-526	249	27	𝔮22	𝔮22	NOUN
cana-526	249	28	′	′	NOUN
cana-526	249	29	,	,	PUNCT
cana-526	249	30	𝔯22	𝔯22	NOUN
cana-526	249	31	′	′	NUM
cana-526	249	32	)	)	PUNCT
cana-526	249	33	(	(	PUNCT
cana-526	249	34	𝔭′22	𝔭′22	ADJ
cana-526	249	35	′	′	NOUN
cana-526	249	36	,	,	PUNCT
cana-526	249	37	𝔮22	𝔮22	NOUN
cana-526	249	38	′	′	NOUN
cana-526	249	39	,	,	PUNCT
cana-526	249	40	𝔯′22′	𝔯′22′	ADV
cana-526	249	41	)	)	PUNCT
cana-526	249	42	}	}	PUNCT
cana-526	249	43	=	=	SYM
cana-526	249	44	1	1	NUM
cana-526	249	45	{	{	PUNCT
cana-526	249	46	(	(	PUNCT
cana-526	249	47	𝔭11′	𝔭11′	NOUN
cana-526	249	48	,	,	PUNCT
cana-526	249	49	𝔮11	𝔮11	ADJ
cana-526	249	50	′	′	NOUN
cana-526	249	51	,	,	PUNCT
cana-526	249	52	𝔯11	𝔯11	NOUN
cana-526	249	53	′	′	NUM
cana-526	249	54	)	)	PUNCT
cana-526	249	55	(	(	PUNCT
cana-526	249	56	𝔭11′′	𝔭11′′	NUM
cana-526	249	57	,	,	PUNCT
cana-526	249	58	𝔮11	𝔮11	ADJ
cana-526	249	59	′	′	NUM
cana-526	249	60	,	,	PUNCT
cana-526	249	61	𝔯11′′	𝔯11′′	NUM
cana-526	249	62	)	)	PUNCT
cana-526	249	63	}	}	PUNCT
cana-526	249	64	+	+	X
cana-526	249	65	{	{	PUNCT
cana-526	249	66	(	(	PUNCT
cana-526	249	67	𝔭21′	𝔭21′	NOUN
cana-526	249	68	,	,	PUNCT
cana-526	249	69	𝔮21	𝔮21	NOUN
cana-526	249	70	′	′	NUM
cana-526	249	71	,	,	PUNCT
cana-526	249	72	𝔯21	𝔯21	NOUN
cana-526	249	73	′	′	NUM
cana-526	249	74	)	)	PUNCT
cana-526	249	75	(	(	PUNCT
cana-526	249	76	𝔭21′′	𝔭21′′	INTJ
cana-526	249	77	,	,	PUNCT
cana-526	249	78	𝔮21	𝔮21	NOUN
cana-526	249	79	′	′	NUM
cana-526	249	80	,	,	PUNCT
cana-526	249	81	𝔯21′′	𝔯21′′	PROPN
cana-526	249	82	)	)	PUNCT
cana-526	249	83	}	}	PUNCT
cana-526	249	84	=	=	SYM
cana-526	249	85	1	1	NUM
cana-526	249	86	{	{	PUNCT
cana-526	249	87	(	(	PUNCT
cana-526	249	88	𝔭12′	𝔭12′	X
cana-526	249	89	,	,	PUNCT
cana-526	249	90	𝔮12	𝔮12	NOUN
cana-526	249	91	′	′	NOUN
cana-526	249	92	,	,	PUNCT
cana-526	249	93	𝔯12	𝔯12	PROPN
cana-526	249	94	′	′	NUM
cana-526	249	95	)	)	PUNCT
cana-526	249	96	(	(	PUNCT
cana-526	249	97	𝔭12′′	𝔭12′′	NUM
cana-526	249	98	,	,	PUNCT
cana-526	249	99	𝔮12	𝔮12	NOUN
cana-526	249	100	′	′	NOUN
cana-526	249	101	,	,	PUNCT
cana-526	249	102	𝔯′12′	𝔯′12′	PROPN
cana-526	249	103	)	)	PUNCT
cana-526	249	104	}	}	PUNCT
cana-526	249	105	+	+	CCONJ
cana-526	249	106	{	{	PUNCT
cana-526	249	107	(	(	PUNCT
cana-526	249	108	𝔭22′	𝔭22′	PROPN
cana-526	249	109	,	,	PUNCT
cana-526	249	110	𝔮22	𝔮22	NOUN
cana-526	249	111	′	′	NOUN
cana-526	249	112	,	,	PUNCT
cana-526	249	113	𝔯22	𝔯22	NOUN
cana-526	249	114	′	′	NUM
cana-526	249	115	)	)	PUNCT
cana-526	249	116	(	(	PUNCT
cana-526	249	117	𝔭′22	𝔭′22	ADJ
cana-526	249	118	′	′	NOUN
cana-526	249	119	,	,	PUNCT
cana-526	249	120	𝔮22	𝔮22	NOUN
cana-526	249	121	′	′	NOUN
cana-526	249	122	,	,	PUNCT
cana-526	249	123	𝔯′22′	𝔯′22′	ADV
cana-526	249	124	)	)	PUNCT
cana-526	249	125	}	}	PUNCT
cana-526	249	126	=	=	SYM
cana-526	249	127	1	1	NUM
cana-526	249	128	3	3	NUM
cana-526	249	129	applying	apply	VERB
cana-526	249	130	the	the	DET
cana-526	249	131	ranking	rank	VERB
cana-526	249	132	function	function	NOUN
cana-526	249	133	,	,	PUNCT
cana-526	249	134	maximize	maximize	VERB
cana-526	249	135	𝒵~=	𝒵~=	PROPN
cana-526	249	136	ℝ	ℝ	PROPN
cana-526	249	137	{	{	PUNCT
cana-526	249	138	(	(	PUNCT
cana-526	249	139	4𝔭11′	4𝔭11′	NUM
cana-526	249	140	+4𝔭12′	+4𝔭12′	X
cana-526	250	1	+	+	CCONJ
cana-526	251	1	3𝔭21	3𝔭21	NUM
cana-526	251	2	′	′	NUM
cana-526	252	1	+	+	NUM
cana-526	252	2	5𝔭22	5𝔭22	NUM
cana-526	252	3	′	′	NUM
cana-526	252	4	)	)	PUNCT
cana-526	252	5	,	,	PUNCT
cana-526	252	6	(	(	PUNCT
cana-526	252	7	6𝔮11′	6𝔮11′	NUM
cana-526	252	8	+7𝔮12′	+7𝔮12′	X
cana-526	253	1	+	+	X
cana-526	253	2	4𝔮21	4𝔮21	ADJ
cana-526	253	3	′	′	NUM
cana-526	254	1	+	+	CCONJ
cana-526	254	2	8𝔮22	8𝔮22	NUM
cana-526	254	3	′	′	NUM
cana-526	254	4	)	)	PUNCT
cana-526	254	5	,	,	PUNCT
cana-526	254	6	(	(	PUNCT
cana-526	254	7	8𝔯11′	8𝔯11′	X
cana-526	254	8	+9𝔯12′	+9𝔯12′	X
cana-526	254	9	+	+	CCONJ
cana-526	254	10	6𝔯21	6𝔯21	NUM
cana-526	254	11	′	′	NUM
cana-526	255	1	+	+	CCONJ
cana-526	255	2	9𝔯22	9𝔯22	NOUN
cana-526	256	1	′	′	NUM
cana-526	256	2	)	)	PUNCT
cana-526	257	1	;	;	PUNCT
cana-526	257	2	(	(	PUNCT
cana-526	257	3	1𝔭′11′	1𝔭′11′	NUM
cana-526	257	4	+	+	CCONJ
cana-526	257	5	2𝔭′12	2𝔭′12	NUM
cana-526	257	6	′	′	NUM
cana-526	258	1	+	+	CCONJ
cana-526	258	2	1𝔭′21	1𝔭′21	NUM
cana-526	258	3	′	′	NOUN
cana-526	259	1	+	+	CCONJ
cana-526	259	2	3𝔭′22	3𝔭′22	ADJ
cana-526	259	3	′	′	NUM
cana-526	259	4	)	)	PUNCT
cana-526	259	5	,	,	PUNCT
cana-526	259	6	)	)	PUNCT
cana-526	259	7	,	,	PUNCT
cana-526	259	8	(	(	PUNCT
cana-526	259	9	6𝔮11′	6𝔮11′	NUM
cana-526	259	10	+7𝔮12′	+7𝔮12′	X
cana-526	260	1	+	+	X
cana-526	260	2	4𝔮21	4𝔮21	ADJ
cana-526	260	3	′	′	NUM
cana-526	261	1	+	+	CCONJ
cana-526	261	2	8𝔮22	8𝔮22	NUM
cana-526	261	3	′	′	NUM
cana-526	261	4	)	)	PUNCT
cana-526	261	5	,	,	PUNCT
cana-526	262	1	(	(	PUNCT
cana-526	262	2	11𝔯′11′	11𝔯′11′	NUM
cana-526	262	3	+	+	CCONJ
cana-526	262	4	14𝔯′12	14𝔯′12	NUM
cana-526	262	5	′	′	NUM
cana-526	263	1	+	+	CCONJ
cana-526	263	2	8𝔯′21	8𝔯′21	NUM
cana-526	263	3	′	′	NUM
cana-526	264	1	+	+	CCONJ
cana-526	264	2	13𝔯′22	13𝔯′22	NUM
cana-526	264	3	′	′	NUM
cana-526	264	4	)	)	PUNCT
cana-526	264	5	}	}	PUNCT
cana-526	264	6	subject	subject	ADJ
cana-526	264	7	to	to	ADP
cana-526	264	8	{	{	PUNCT
cana-526	264	9	(	(	PUNCT
cana-526	264	10	𝔭11′	𝔭11′	X
cana-526	264	11	+	+	CCONJ
cana-526	264	12	𝔭12	𝔭12	NUM
cana-526	264	13	′	′	NUM
cana-526	264	14	,	,	PUNCT
cana-526	264	15	𝔮11	𝔮11	ADJ
cana-526	264	16	′	′	NOUN
cana-526	265	1	+	+	PROPN
cana-526	265	2	,	,	PUNCT
cana-526	265	3	𝔮12	𝔮12	PROPN
cana-526	265	4	′	′	NOUN
cana-526	265	5	,	,	PUNCT
cana-526	265	6	𝔯11	𝔯11	PROPN
cana-526	265	7	′	′	NOUN
cana-526	266	1	+	+	PUNCT
cana-526	266	2	𝔯12	𝔯12	PROPN
cana-526	266	3	′	′	NUM
cana-526	266	4	)	)	PUNCT
cana-526	266	5	;	;	PUNCT
cana-526	266	6	(	(	PUNCT
cana-526	266	7	𝔭′11′	𝔭′11′	X
cana-526	266	8	+	+	CCONJ
cana-526	266	9	𝔭12	𝔭12	NUM
cana-526	266	10	′′	′′	PROPN
cana-526	266	11	,	,	PUNCT
cana-526	266	12	𝔮11	𝔮11	ADJ
cana-526	266	13	′	′	NOUN
cana-526	266	14	+	+	PROPN
cana-526	266	15	,	,	PUNCT
cana-526	266	16	𝔮12	𝔮12	PROPN
cana-526	266	17	′	′	NOUN
cana-526	266	18	,	,	PUNCT
cana-526	266	19	𝔯11′′	𝔯11′′	PROPN
cana-526	266	20	+	+	CCONJ
cana-526	266	21	𝔯′12′	𝔯′12′	PROPN
cana-526	266	22	)	)	PUNCT
cana-526	266	23	}	}	PUNCT
cana-526	267	1	=	=	SYM
cana-526	267	2	1	1	X
cana-526	267	3	{	{	PUNCT
cana-526	267	4	(	(	PUNCT
cana-526	267	5	𝔭21′	𝔭21′	NOUN
cana-526	267	6	+	+	CCONJ
cana-526	267	7	𝔭22	𝔭22	NOUN
cana-526	267	8	′	′	NOUN
cana-526	267	9	,	,	PUNCT
cana-526	267	10	𝔮21	𝔮21	NOUN
cana-526	267	11	′	′	NUM
cana-526	268	1	+	+	CCONJ
cana-526	268	2	𝔮22	𝔮22	NOUN
cana-526	268	3	′	′	NOUN
cana-526	268	4	,	,	PUNCT
cana-526	268	5	𝔯21	𝔯21	NOUN
cana-526	268	6	′	′	VERB
cana-526	268	7	+	+	CCONJ
cana-526	268	8	𝔯22	𝔯22	NOUN
cana-526	268	9	′	′	NUM
cana-526	268	10	)	)	PUNCT
cana-526	268	11	;	;	PUNCT
cana-526	268	12	(	(	PUNCT
cana-526	268	13	𝔭21′′	𝔭21′′	PRON
cana-526	269	1	+	+	CCONJ
cana-526	269	2	𝔭′22′	𝔭′22′	PROPN
cana-526	269	3	,	,	PUNCT
cana-526	269	4	𝔮21′	𝔮21′	X
cana-526	269	5	+	+	CCONJ
cana-526	269	6	𝔮22	𝔮22	NOUN
cana-526	269	7	′	′	NOUN
cana-526	269	8	,	,	PUNCT
cana-526	269	9	𝔯′21′	𝔯′21′	X
cana-526	269	10	+	+	CCONJ
cana-526	269	11	𝔯′22	𝔯′22	ADJ
cana-526	269	12	′	′	NOUN
cana-526	269	13	)	)	PUNCT
cana-526	269	14	}	}	PUNCT
cana-526	270	1	=	=	SYM
cana-526	270	2	1	1	X
cana-526	270	3	{	{	PUNCT
cana-526	270	4	(	(	PUNCT
cana-526	270	5	𝔭11′	𝔭11′	X
cana-526	270	6	+	+	CCONJ
cana-526	270	7	𝔭21	𝔭21	NUM
cana-526	270	8	′	′	NUM
cana-526	270	9	,	,	PUNCT
cana-526	270	10	𝔮11	𝔮11	ADJ
cana-526	270	11	′	′	NOUN
cana-526	270	12	+	+	CCONJ
cana-526	270	13	𝔮21	𝔮21	NUM
cana-526	270	14	′	′	NOUN
cana-526	270	15	,	,	PUNCT
cana-526	270	16	𝔯11	𝔯11	NOUN
cana-526	270	17	′	′	NOUN
cana-526	271	1	+	+	NUM
cana-526	271	2	𝔯21	𝔯21	NOUN
cana-526	271	3	′	′	NUM
cana-526	271	4	)	)	PUNCT
cana-526	271	5	;	;	PUNCT
cana-526	271	6	(	(	PUNCT
cana-526	271	7	𝔭′11′	𝔭′11′	X
cana-526	271	8	+	+	NUM
cana-526	271	9	𝔭21	𝔭21	VERB
cana-526	271	10	′′	′′	PROPN
cana-526	271	11	,	,	PUNCT
cana-526	271	12	𝔮11	𝔮11	ADJ
cana-526	271	13	′	′	NOUN
cana-526	271	14	+	+	CCONJ
cana-526	271	15	𝔮21	𝔮21	NUM
cana-526	271	16	′	′	NUM
cana-526	271	17	,	,	PUNCT
cana-526	271	18	𝔯′11′	𝔯′11′	PROPN
cana-526	271	19	+	+	NUM
cana-526	271	20	𝔯21	𝔯21	NOUN
cana-526	271	21	′′	′′	PROPN
cana-526	271	22	)	)	PUNCT
cana-526	271	23	}	}	PUNCT
cana-526	271	24	=	=	SYM
cana-526	271	25	1	1	NUM
cana-526	271	26	{	{	PUNCT
cana-526	271	27	(	(	PUNCT
cana-526	271	28	𝔭12′	𝔭12′	X
cana-526	271	29	+	+	CCONJ
cana-526	271	30	𝔭22	𝔭22	NOUN
cana-526	271	31	′	′	NOUN
cana-526	271	32	,	,	PUNCT
cana-526	271	33	𝔮12	𝔮12	NOUN
cana-526	271	34	′	′	NOUN
cana-526	271	35	+	+	CCONJ
cana-526	271	36	𝔮22	𝔮22	NOUN
cana-526	271	37	′	′	NOUN
cana-526	271	38	,	,	PUNCT
cana-526	271	39	𝔯12	𝔯12	PROPN
cana-526	271	40	′	′	NUM
cana-526	272	1	+	+	CCONJ
cana-526	272	2	𝔯22	𝔯22	NOUN
cana-526	272	3	′	′	NUM
cana-526	272	4	)	)	PUNCT
cana-526	273	1	;	;	PUNCT
cana-526	273	2	(	(	PUNCT
cana-526	273	3	𝔭′12′	𝔭′12′	PROPN
cana-526	273	4	+	+	CCONJ
cana-526	273	5	𝔭′22	𝔭′22	PROPN
cana-526	273	6	′	′	NOUN
cana-526	273	7	,	,	PUNCT
cana-526	273	8	𝔮12	𝔮12	NOUN
cana-526	273	9	′	′	NOUN
cana-526	273	10	+	+	CCONJ
cana-526	273	11	𝔮22	𝔮22	NOUN
cana-526	273	12	′	′	NOUN
cana-526	273	13	,	,	PUNCT
cana-526	273	14	𝔯′12′	𝔯′12′	PROPN
cana-526	273	15	+	+	PROPN
cana-526	273	16	𝔯′22′	𝔯′22′	PROPN
cana-526	273	17	)	)	PUNCT
cana-526	273	18	}	}	PUNCT
cana-526	273	19	=	=	SYM
cana-526	273	20	1	1	NUM
cana-526	273	21	communications	communication	NOUN
cana-526	273	22	on	on	ADP
cana-526	273	23	applied	apply	VERB
cana-526	273	24	nonlinear	nonlinear	ADJ
cana-526	273	25	analysis	analysis	NOUN
cana-526	273	26	issn	issn	NOUN
cana-526	273	27	:	:	PUNCT
cana-526	273	28	1074	1074	NUM
cana-526	273	29	-	-	PUNCT
cana-526	273	30	133x	133x	NUM
cana-526	273	31	vol	vol	NOUN
cana-526	273	32	31	31	NUM
cana-526	273	33	no	no	NOUN
cana-526	273	34	.	.	NOUN
cana-526	273	35	2	2	NUM
cana-526	273	36	(	(	PUNCT
cana-526	273	37	2024	2024	NUM
cana-526	273	38	)	)	PUNCT
cana-526	274	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	274	2	151	151	NUM
cana-526	274	3	4	4	NUM
cana-526	274	4	by	by	ADP
cana-526	274	5	using	use	VERB
cana-526	274	6	arithmetic	arithmetic	ADJ
cana-526	274	7	operations	operation	NOUN
cana-526	274	8	,	,	PUNCT
cana-526	274	9	the	the	DET
cana-526	274	10	problem	problem	NOUN
cana-526	274	11	converts	convert	VERB
cana-526	274	12	into	into	ADP
cana-526	274	13	crisp	crisp	ADJ
cana-526	274	14	assignment	assignment	NOUN
cana-526	274	15	problem	problem	NOUN
cana-526	274	16	,	,	PUNCT
cana-526	274	17	maximize	maximize	VERB
cana-526	274	18	𝒵~=	𝒵~=	PROPN
cana-526	274	19	4𝔭11	4𝔭11	NOUN
cana-526	275	1	′	′	NUM
cana-526	276	1	+4𝔭12	+4𝔭12	NUM
cana-526	276	2	′	′	NUM
cana-526	276	3	+3𝔭21	+3𝔭21	INTJ
cana-526	277	1	′	′	NUM
cana-526	277	2	+5𝔭22	+5𝔭22	NUM
cana-526	277	3	′	′	NUM
cana-526	277	4	+1𝔭11	+1𝔭11	VERB
cana-526	278	1	′′	′′	PROPN
cana-526	278	2	+2𝔭12	+2𝔭12	NUM
cana-526	278	3	′′	′′	PROPN
cana-526	278	4	+1𝔭21	+1𝔭21	PROPN
cana-526	278	5	′′	′′	PROPN
cana-526	278	6	+3𝔭22	+3𝔭22	NOUN
cana-526	279	1	′′	′′	PROPN
cana-526	279	2	+24𝔮11	+24𝔮11	VERB
cana-526	279	3	′	′	NUM
cana-526	279	4	+28𝔮12	+28𝔮12	NOUN
cana-526	279	5	′	′	NUM
cana-526	279	6	+16𝔮21	+16𝔮21	NOUN
cana-526	279	7	′	′	NUM
cana-526	279	8	+32𝔮22	+32𝔮22	ADJ
cana-526	280	1	′	′	NUM
cana-526	281	1	+8𝔯11	+8𝔯11	ADV
cana-526	281	2	′	′	NUM
cana-526	282	1	+9𝔯12	+9𝔯12	NOUN
cana-526	282	2	′	′	NUM
cana-526	283	1	+6𝔯21	+6𝔯21	NUM
cana-526	283	2	′	′	NUM
cana-526	284	1	+9𝔯22	+9𝔯22	NOUN
cana-526	284	2	′	′	NUM
cana-526	285	1	+11𝔯11	+11𝔯11	NOUN
cana-526	286	1	′′	′′	NOUN
cana-526	286	2	+14𝔯12	+14𝔯12	NOUN
cana-526	286	3	′′	′′	PROPN
cana-526	286	4	+8𝔯21	+8𝔯21	PRON
cana-526	286	5	′′	′′	PROPN
cana-526	286	6	+13𝔯22	+13𝔯22	NOUN
cana-526	286	7	′′	′′	PROPN
cana-526	286	8	8	8	NUM
cana-526	286	9	subject	subject	ADJ
cana-526	286	10	to	to	ADP
cana-526	286	11	𝔭11	𝔭11	NOUN
cana-526	286	12	′	′	NUM
cana-526	287	1	+	+	CCONJ
cana-526	287	2	𝔭12	𝔭12	NUM
cana-526	287	3	′	′	NUM
cana-526	288	1	=	=	SYM
cana-526	288	2	1	1	NUM
cana-526	288	3	𝔮11	𝔮11	NOUN
cana-526	288	4	′	′	NUM
cana-526	289	1	+	+	PROPN
cana-526	289	2	,	,	PUNCT
cana-526	289	3	𝔮12	𝔮12	NOUN
cana-526	289	4	′	′	NOUN
cana-526	289	5	=	=	SYM
cana-526	289	6	1	1	NUM
cana-526	289	7	𝔯11′	𝔯11′	NOUN
cana-526	289	8	+	+	X
cana-526	289	9	𝔯12	𝔯12	ADJ
cana-526	289	10	′	′	NUM
cana-526	289	11	=	=	SYM
cana-526	289	12	1	1	NUM
cana-526	289	13	𝔭′11′	𝔭′11′	NUM
cana-526	289	14	+	+	CCONJ
cana-526	289	15	𝔭12	𝔭12	NUM
cana-526	290	1	′′	′′	NOUN
cana-526	290	2	=	=	NOUN
cana-526	290	3	1	1	NUM
cana-526	290	4	𝔯11′′	𝔯11′′	NUM
cana-526	290	5	+	+	CCONJ
cana-526	290	6	𝔯′12′	𝔯′12′	PROPN
cana-526	290	7	=	=	SYM
cana-526	290	8	1	1	NUM
cana-526	290	9	𝔭21	𝔭21	NOUN
cana-526	290	10	′	′	NUM
cana-526	291	1	+	+	CCONJ
cana-526	291	2	𝔭22	𝔭22	NOUN
cana-526	291	3	′	′	NUM
cana-526	291	4	=	=	SYM
cana-526	291	5	1	1	NUM
cana-526	291	6	𝔮21	𝔮21	NOUN
cana-526	291	7	′	′	NOUN
cana-526	292	1	+	+	CCONJ
cana-526	292	2	𝔮22	𝔮22	NOUN
cana-526	292	3	′	′	NUM
cana-526	292	4	=	=	SYM
cana-526	292	5	1	1	NUM
cana-526	292	6	𝔯11′	𝔯11′	NOUN
cana-526	292	7	+	+	X
cana-526	292	8	𝔯12	𝔯12	ADJ
cana-526	292	9	′	′	NUM
cana-526	292	10	=	=	NOUN
cana-526	292	11	1	1	NUM
cana-526	292	12	𝔭21′′	𝔭21′′	PRON
cana-526	292	13	+	+	NOUN
cana-526	292	14	𝔭′22′	𝔭′22′	PROPN
cana-526	292	15	=	=	SYM
cana-526	292	16	1	1	NUM
cana-526	292	17	𝔯′21′	𝔯′21′	NUM
cana-526	292	18	+	+	CCONJ
cana-526	292	19	𝔯′22	𝔯′22	ADJ
cana-526	292	20	′	′	NUM
cana-526	292	21	=	=	SYM
cana-526	292	22	1	1	NUM
cana-526	292	23	𝔭11	𝔭11	NOUN
cana-526	292	24	′	′	NUM
cana-526	293	1	+	+	CCONJ
cana-526	293	2	𝔭21	𝔭21	ADJ
cana-526	293	3	′	′	NUM
cana-526	294	1	=	=	SYM
cana-526	294	2	1	1	NUM
cana-526	294	3	𝔮11′	𝔮11′	NUM
cana-526	294	4	+	+	CCONJ
cana-526	294	5	𝔮21	𝔮21	NOUN
cana-526	295	1	′	′	NOUN
cana-526	295	2	=	=	SYM
cana-526	295	3	1	1	NUM
cana-526	295	4	𝔯11′	𝔯11′	NOUN
cana-526	295	5	+	+	NUM
cana-526	295	6	𝔯21	𝔯21	NOUN
cana-526	295	7	′	′	NUM
cana-526	295	8	=	=	SYM
cana-526	295	9	1	1	NUM
cana-526	295	10	𝔭′11′	𝔭′11′	NUM
cana-526	295	11	+	+	NUM
cana-526	295	12	𝔭21	𝔭21	NUM
cana-526	295	13	′′	′′	NOUN
cana-526	295	14	=	=	NOUN
cana-526	295	15	1	1	NUM
cana-526	295	16	𝔯′11′	𝔯′11′	NUM
cana-526	295	17	+	+	NUM
cana-526	295	18	𝔯21	𝔯21	NOUN
cana-526	295	19	′′	′′	NOUN
cana-526	295	20	=	=	NOUN
cana-526	295	21	1	1	NUM
cana-526	295	22	𝔭12	𝔭12	NUM
cana-526	295	23	′	′	NUM
cana-526	296	1	+	+	CCONJ
cana-526	296	2	𝔭22	𝔭22	NOUN
cana-526	296	3	′	′	NUM
cana-526	296	4	=	=	SYM
cana-526	296	5	1	1	NUM
cana-526	296	6	𝔮12′	𝔮12′	PROPN
cana-526	296	7	+	+	CCONJ
cana-526	296	8	𝔮22	𝔮22	NOUN
cana-526	296	9	′	′	NOUN
cana-526	296	10	=	=	SYM
cana-526	296	11	1	1	NUM
cana-526	296	12	𝔯12′	𝔯12′	NOUN
cana-526	296	13	+	+	CCONJ
cana-526	296	14	𝔯22	𝔯22	NOUN
cana-526	297	1	′	′	NUM
cana-526	297	2	=	=	SYM
cana-526	297	3	1	1	NUM
cana-526	297	4	𝔭′12′	𝔭′12′	NUM
cana-526	297	5	+	+	CCONJ
cana-526	298	1	𝔭′22	𝔭′22	ADJ
cana-526	298	2	′	′	NOUN
cana-526	298	3	=	=	SYM
cana-526	298	4	1	1	NUM
cana-526	298	5	𝔯′12′	𝔯′12′	PROPN
cana-526	298	6	+	+	PROPN
cana-526	298	7	𝔯′22′	𝔯′22′	PROPN
cana-526	298	8	=	=	SYM
cana-526	298	9	1	1	NUM
cana-526	298	10	5	5	NUM
cana-526	298	11	by	by	ADP
cana-526	298	12	using	use	VERB
cana-526	298	13	software	software	NOUN
cana-526	298	14	computations	computation	NOUN
cana-526	298	15	we	we	PRON
cana-526	298	16	get	get	VERB
cana-526	298	17	the	the	DET
cana-526	298	18	following	follow	VERB
cana-526	298	19	values	value	NOUN
cana-526	298	20	,	,	PUNCT
cana-526	299	1	𝔭11	𝔭11	NOUN
cana-526	299	2	′	′	NUM
cana-526	299	3	=	=	SYM
cana-526	299	4	1	1	NUM
cana-526	299	5	𝔮11	𝔮11	ADJ
cana-526	299	6	′	′	NOUN
cana-526	299	7	=	=	SYM
cana-526	299	8	1	1	NUM
cana-526	299	9	𝔯11	𝔯11	NOUN
cana-526	299	10	′	′	NUM
cana-526	299	11	=	=	SYM
cana-526	299	12	1	1	NUM
cana-526	299	13	𝔭11	𝔭11	NOUN
cana-526	300	1	′′	′′	NOUN
cana-526	300	2	=	=	NOUN
cana-526	300	3	1	1	NUM
cana-526	300	4	𝔯′11	𝔯′11	NOUN
cana-526	300	5	′	′	NUM
cana-526	300	6	=	=	SYM
cana-526	300	7	1	1	NUM
cana-526	300	8	𝔭12	𝔭12	NUM
cana-526	300	9	′	′	NUM
cana-526	300	10	=	=	SYM
cana-526	300	11	0	0	NUM
cana-526	300	12	𝔮12	𝔮12	NOUN
cana-526	301	1	′	′	NOUN
cana-526	301	2	=	=	SYM
cana-526	301	3	0	0	NUM
cana-526	301	4	𝔯12	𝔯12	NOUN
cana-526	301	5	′	′	NUM
cana-526	302	1	=	=	SYM
cana-526	302	2	0	0	NUM
cana-526	302	3	𝔭′12	𝔭′12	NUM
cana-526	302	4	′	′	NOUN
cana-526	302	5	=	=	NOUN
cana-526	302	6	0	0	NUM
cana-526	302	7	𝔯′12	𝔯′12	ADP
cana-526	302	8	′	′	NUM
cana-526	303	1	=	=	SYM
cana-526	303	2	0	0	NUM
cana-526	303	3	𝔭21	𝔭21	NOUN
cana-526	303	4	′	′	NUM
cana-526	304	1	=	=	SYM
cana-526	304	2	0	0	NUM
cana-526	304	3	𝔮21	𝔮21	NOUN
cana-526	305	1	′	′	NUM
cana-526	305	2	=	=	SYM
cana-526	305	3	0	0	NUM
cana-526	306	1	𝔯21	𝔯21	NOUN
cana-526	306	2	′	′	NUM
cana-526	307	1	=	=	SYM
cana-526	307	2	0	0	NUM
cana-526	308	1	𝔭′21	𝔭′21	NOUN
cana-526	308	2	′	′	NOUN
cana-526	309	1	=	=	SYM
cana-526	309	2	0	0	NUM
cana-526	310	1	𝔯′21	𝔯′21	NUM
cana-526	310	2	′	′	NUM
cana-526	310	3	=	=	SYM
cana-526	310	4	0	0	NUM
cana-526	310	5	𝔭22	𝔭22	NOUN
cana-526	310	6	′	′	NUM
cana-526	311	1	=	=	SYM
cana-526	311	2	1	1	NUM
cana-526	311	3	𝔮22	𝔮22	NOUN
cana-526	311	4	′	′	NUM
cana-526	311	5	=	=	SYM
cana-526	311	6	1	1	NUM
cana-526	311	7	𝔯22	𝔯22	NOUN
cana-526	311	8	′	′	NUM
cana-526	312	1	=	=	SYM
cana-526	312	2	1	1	NUM
cana-526	312	3	𝔭′22	𝔭′22	ADJ
cana-526	312	4	′	′	NUM
cana-526	313	1	=	=	SYM
cana-526	313	2	1	1	NUM
cana-526	313	3	𝔯′22	𝔯′22	ADJ
cana-526	313	4	′	′	NUM
cana-526	313	5	=	=	SYM
cana-526	313	6	1	1	NUM
cana-526	313	7	6	6	NUM
cana-526	313	8	substitute	substitute	NOUN
cana-526	313	9	the	the	DET
cana-526	313	10	above	above	ADJ
cana-526	313	11	values	value	NOUN
cana-526	313	12	in	in	ADP
cana-526	313	13	(	(	PUNCT
cana-526	313	14	i	i	NOUN
cana-526	313	15	)	)	PUNCT
cana-526	313	16	we	we	PRON
cana-526	313	17	get	get	AUX
cana-526	313	18	𝒳~	𝒳~	VERB
cana-526	313	19	11=	11=	NUM
cana-526	313	20	{	{	PUNCT
cana-526	313	21	(	(	PUNCT
cana-526	313	22	1,1,1)(1,1,1	1,1,1)(1,1,1	NUM
cana-526	313	23	)	)	PUNCT
cana-526	313	24	}	}	PUNCT
cana-526	313	25	,	,	PUNCT
cana-526	313	26	𝒳~	𝒳~	VERB
cana-526	313	27	12	12	NUM
cana-526	313	28	=	=	SYM
cana-526	313	29	{	{	PUNCT
cana-526	313	30	(	(	PUNCT
cana-526	313	31	0,0,0)(0,0,0	0,0,0)(0,0,0	NOUN
cana-526	313	32	)	)	PUNCT
cana-526	313	33	}	}	PUNCT
cana-526	313	34	,	,	PUNCT
cana-526	313	35	𝒳~	𝒳~	VERB
cana-526	313	36	21	21	NUM
cana-526	313	37	=	=	SYM
cana-526	313	38	{	{	PUNCT
cana-526	313	39	(	(	PUNCT
cana-526	313	40	0,0,0)(0,0,0	0,0,0)(0,0,0	NOUN
cana-526	313	41	)	)	PUNCT
cana-526	313	42	}	}	PUNCT
cana-526	313	43	,	,	PUNCT
cana-526	313	44	𝒳~	𝒳~	VERB
cana-526	313	45	22	22	NUM
cana-526	313	46	=	=	SYM
cana-526	313	47	{	{	PUNCT
cana-526	313	48	(	(	PUNCT
cana-526	313	49	1,1,1)(1,1,1	1,1,1)(1,1,1	NUM
cana-526	313	50	)	)	PUNCT
cana-526	313	51	}	}	PUNCT
cana-526	313	52	→	→	PUNCT
cana-526	313	53	(	(	PUNCT
cana-526	313	54	𝐼𝐼	𝐼𝐼	PROPN
cana-526	313	55	)	)	PUNCT
cana-526	313	56	7	7	NUM
cana-526	313	57	substitute	substitute	NOUN
cana-526	313	58	(	(	PUNCT
cana-526	313	59	𝐼𝐼	𝐼𝐼	PROPN
cana-526	313	60	)	)	PUNCT
cana-526	313	61	in	in	ADP
cana-526	313	62	the	the	DET
cana-526	313	63	objective	objective	ADJ
cana-526	313	64	function	function	NOUN
cana-526	313	65	,	,	PUNCT
cana-526	313	66	we	we	PRON
cana-526	313	67	get	get	VERB
cana-526	313	68	the	the	DET
cana-526	313	69	optimum	optimum	ADJ
cana-526	313	70	solution	solution	NOUN
cana-526	313	71	of	of	ADP
cana-526	313	72	the	the	DET
cana-526	313	73	pythagorean	pythagorean	PROPN
cana-526	313	74	fuzzy	fuzzy	ADJ
cana-526	313	75	assignment	assignment	NOUN
cana-526	313	76	problem	problem	NOUN
cana-526	313	77	is	be	AUX
cana-526	313	78	{	{	PUNCT
cana-526	313	79	(	(	PUNCT
cana-526	313	80	9,14,17);(4,14,24	9,14,17);(4,14,24	NUM
cana-526	313	81	)	)	PUNCT
cana-526	313	82	}	}	PUNCT
cana-526	313	83	and	and	CCONJ
cana-526	313	84	the	the	DET
cana-526	313	85	job	job	NOUN
cana-526	313	86	allocations	allocation	NOUN
cana-526	313	87	are	be	AUX
cana-526	313	88	,	,	PUNCT
cana-526	313	89	𝑝𝑟𝑜𝑗𝑒𝑐𝑡	𝑝𝑟𝑜𝑗𝑒𝑐𝑡	NOUN
cana-526	313	90	1	1	NUM
cana-526	313	91	→	→	SYM
cana-526	313	92	𝑇𝑒𝑎𝑚	𝑇𝑒𝑎𝑚	PROPN
cana-526	313	93	1	1	NUM
cana-526	313	94	,	,	PUNCT
cana-526	313	95	𝑝𝑟𝑜𝑗𝑒𝑐𝑡	𝑝𝑟𝑜𝑗𝑒𝑐𝑡	NOUN
cana-526	313	96	2	2	NUM
cana-526	313	97	→	→	SYM
cana-526	313	98	𝑇𝑒𝑎𝑚	𝑇𝑒𝑎𝑚	PROPN
cana-526	313	99	2	2	NUM
cana-526	313	100	4.3	4.3	NUM
cana-526	313	101	unbalanced	unbalanced	ADJ
cana-526	313	102	pythagorean	pythagorean	PROPN
cana-526	313	103	fuzzy	fuzzy	ADJ
cana-526	313	104	assignment	assignment	NOUN
cana-526	313	105	problem	problem	NOUN
cana-526	313	106	calculate	calculate	VERB
cana-526	313	107	the	the	DET
cana-526	313	108	optimum	optimum	ADJ
cana-526	313	109	solution	solution	NOUN
cana-526	313	110	of	of	ADP
cana-526	313	111	the	the	DET
cana-526	313	112	pythagorean	pythagorean	PROPN
cana-526	313	113	fuzzy	fuzzy	ADJ
cana-526	313	114	assignment	assignment	NOUN
cana-526	313	115	problem	problem	NOUN
cana-526	313	116	from	from	ADP
cana-526	313	117	the	the	DET
cana-526	313	118	following	follow	VERB
cana-526	313	119	table	table	NOUN
cana-526	313	120	values	value	NOUN
cana-526	313	121	.	.	PUNCT
cana-526	314	1	𝒫1	𝒫1	PROPN
cana-526	314	2	𝒫2	𝒫2	PROPN
cana-526	314	3	𝒲	𝒲	PROPN
cana-526	314	4	(	(	PUNCT
cana-526	314	5	2,4,8)(1,4,10	2,4,8)(1,4,10	NUM
cana-526	314	6	)	)	PUNCT
cana-526	314	7	(	(	PUNCT
cana-526	314	8	2,3,5)(1,3,7	2,3,5)(1,3,7	NUM
cana-526	314	9	)	)	PUNCT
cana-526	314	10	solution	solution	NOUN
cana-526	314	11	the	the	DET
cana-526	314	12	problem	problem	NOUN
cana-526	314	13	that	that	PRON
cana-526	314	14	has	have	AUX
cana-526	314	15	been	be	AUX
cana-526	314	16	presented	present	VERB
cana-526	314	17	is	be	AUX
cana-526	314	18	an	an	DET
cana-526	314	19	example	example	NOUN
cana-526	314	20	of	of	ADP
cana-526	314	21	an	an	DET
cana-526	314	22	unbalanced	unbalanced	ADJ
cana-526	314	23	pythagorean	pythagorean	NOUN
cana-526	314	24	fuzzy	fuzzy	ADJ
cana-526	314	25	assignment	assignment	NOUN
cana-526	314	26	problem	problem	NOUN
cana-526	314	27	.	.	PUNCT
cana-526	315	1	add	add	VERB
cana-526	315	2	dummy	dummy	ADJ
cana-526	315	3	row	row	NOUN
cana-526	315	4	/	/	SYM
cana-526	315	5	column	column	NOUN
cana-526	315	6	with	with	ADP
cana-526	315	7	zero	zero	NUM
cana-526	315	8	cost	cost	NOUN
cana-526	315	9	entries	entry	NOUN
cana-526	315	10	,	,	PUNCT
cana-526	315	11	for	for	ADP
cana-526	315	12	converting	convert	VERB
cana-526	315	13	it	it	PRON
cana-526	315	14	into	into	ADP
cana-526	315	15	the	the	DET
cana-526	315	16	balanced	balanced	ADJ
cana-526	315	17	problem	problem	NOUN
cana-526	315	18	.	.	PUNCT
cana-526	316	1	hence	hence	ADV
cana-526	316	2	the	the	DET
cana-526	316	3	problem	problem	NOUN
cana-526	316	4	becomes	become	VERB
cana-526	316	5	,	,	PUNCT
cana-526	316	6	𝒫1	𝒫1	PROPN
cana-526	316	7	𝒫2	𝒫2	PROPN
cana-526	316	8	𝒲1	𝒲1	NOUN
cana-526	316	9	(	(	PUNCT
cana-526	316	10	2,4,8)(1,4,10	2,4,8)(1,4,10	NUM
cana-526	316	11	)	)	PUNCT
cana-526	316	12	(	(	PUNCT
cana-526	316	13	2,3,5)(1,3,7	2,3,5)(1,3,7	NUM
cana-526	316	14	)	)	PUNCT
cana-526	316	15	𝒲2	𝒲2	NOUN
cana-526	316	16	(	(	PUNCT
cana-526	316	17	0,0,0)(0,0,0	0,0,0)(0,0,0	NOUN
cana-526	316	18	)	)	PUNCT
cana-526	316	19	(	(	PUNCT
cana-526	316	20	0,0,0)(0,0,0	0,0,0)(0,0,0	NOUN
cana-526	316	21	)	)	PUNCT
cana-526	316	22	1	1	NUM
cana-526	316	23	let	let	VERB
cana-526	316	24	𝒳~	𝒳~	VERB
cana-526	316	25	11=	11=	NUM
cana-526	316	26	{	{	PUNCT
cana-526	316	27	(	(	PUNCT
cana-526	316	28	𝔭11′	𝔭11′	NOUN
cana-526	316	29	,	,	PUNCT
cana-526	316	30	𝔮11	𝔮11	ADJ
cana-526	316	31	′	′	NOUN
cana-526	316	32	,	,	PUNCT
cana-526	316	33	𝔯11	𝔯11	NOUN
cana-526	316	34	′	′	NUM
cana-526	316	35	)	)	PUNCT
cana-526	316	36	(	(	PUNCT
cana-526	316	37	𝔭11′′	𝔭11′′	NUM
cana-526	316	38	,	,	PUNCT
cana-526	316	39	𝔮11	𝔮11	ADJ
cana-526	316	40	′	′	NUM
cana-526	316	41	,	,	PUNCT
cana-526	316	42	𝔯11′′	𝔯11′′	NUM
cana-526	316	43	)	)	PUNCT
cana-526	316	44	}	}	PUNCT
cana-526	316	45	𝒳~	𝒳~	VERB
cana-526	316	46	12	12	NUM
cana-526	316	47	=	=	SYM
cana-526	316	48	{	{	PUNCT
cana-526	316	49	(	(	PUNCT
cana-526	316	50	𝔭12′	𝔭12′	X
cana-526	316	51	,	,	PUNCT
cana-526	316	52	𝔮12	𝔮12	NOUN
cana-526	316	53	′	′	NOUN
cana-526	316	54	,	,	PUNCT
cana-526	316	55	𝔯12	𝔯12	PROPN
cana-526	316	56	′	′	NUM
cana-526	316	57	)	)	PUNCT
cana-526	317	1	(	(	PUNCT
cana-526	317	2	𝔭12′′	𝔭12′′	NUM
cana-526	317	3	,	,	PUNCT
cana-526	317	4	𝔮12	𝔮12	NOUN
cana-526	317	5	′	′	NOUN
cana-526	317	6	,	,	PUNCT
cana-526	317	7	𝔯′12′	𝔯′12′	PROPN
cana-526	317	8	)	)	PUNCT
cana-526	317	9	}	}	PUNCT
cana-526	317	10	𝒳~	𝒳~	VERB
cana-526	317	11	21	21	NUM
cana-526	317	12	=	=	SYM
cana-526	317	13	{	{	PUNCT
cana-526	317	14	(	(	PUNCT
cana-526	317	15	𝔭21′	𝔭21′	NOUN
cana-526	317	16	,	,	PUNCT
cana-526	317	17	𝔮21	𝔮21	NOUN
cana-526	317	18	′	′	NUM
cana-526	317	19	,	,	PUNCT
cana-526	317	20	𝔯21	𝔯21	NOUN
cana-526	317	21	′	′	NUM
cana-526	317	22	)	)	PUNCT
cana-526	317	23	(	(	PUNCT
cana-526	317	24	𝔭21′′	𝔭21′′	INTJ
cana-526	317	25	,	,	PUNCT
cana-526	317	26	𝔮21	𝔮21	NOUN
cana-526	317	27	′	′	NUM
cana-526	317	28	,	,	PUNCT
cana-526	317	29	𝔯21′′	𝔯21′′	PROPN
cana-526	317	30	)	)	PUNCT
cana-526	317	31	}	}	PUNCT
cana-526	317	32	→	→	SYM
cana-526	317	33	(	(	PUNCT
cana-526	317	34	𝐼	𝐼	PROPN
cana-526	317	35	)	)	PUNCT
cana-526	317	36	communications	communication	NOUN
cana-526	317	37	on	on	ADP
cana-526	317	38	applied	apply	VERB
cana-526	317	39	nonlinear	nonlinear	ADJ
cana-526	317	40	analysis	analysis	NOUN
cana-526	317	41	issn	issn	NOUN
cana-526	317	42	:	:	PUNCT
cana-526	317	43	1074	1074	NUM
cana-526	317	44	-	-	PUNCT
cana-526	317	45	133x	133x	NUM
cana-526	317	46	vol	vol	NOUN
cana-526	317	47	31	31	NUM
cana-526	317	48	no	no	NOUN
cana-526	317	49	.	.	NOUN
cana-526	317	50	2	2	NUM
cana-526	317	51	(	(	PUNCT
cana-526	317	52	2024	2024	NUM
cana-526	317	53	)	)	PUNCT
cana-526	317	54	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	317	55	152	152	NUM
cana-526	317	56	𝒳~	𝒳~	VERB
cana-526	317	57	22=	22=	NUM
cana-526	317	58	{	{	PUNCT
cana-526	317	59	(	(	PUNCT
cana-526	317	60	𝔭22′	𝔭22′	PROPN
cana-526	317	61	,	,	PUNCT
cana-526	317	62	𝔮22	𝔮22	NOUN
cana-526	317	63	′	′	NOUN
cana-526	317	64	,	,	PUNCT
cana-526	317	65	𝔯22	𝔯22	NOUN
cana-526	317	66	′	′	NUM
cana-526	317	67	)	)	PUNCT
cana-526	318	1	(	(	PUNCT
cana-526	318	2	𝔭′22	𝔭′22	ADJ
cana-526	318	3	′	′	NOUN
cana-526	318	4	,	,	PUNCT
cana-526	318	5	𝔮22	𝔮22	NOUN
cana-526	318	6	′	′	NOUN
cana-526	318	7	,	,	PUNCT
cana-526	319	1	𝔯′22′	𝔯′22′	PROPN
cana-526	319	2	)	)	PUNCT
cana-526	319	3	}	}	PUNCT
cana-526	319	4	then	then	ADV
cana-526	319	5	,	,	PUNCT
cana-526	319	6	modify	modify	VERB
cana-526	319	7	the	the	DET
cana-526	319	8	above	above	ADJ
cana-526	319	9	problem	problem	NOUN
cana-526	319	10	as	as	SCONJ
cana-526	319	11	follows	follow	VERB
cana-526	319	12	,	,	PUNCT
cana-526	319	13	minimize	minimize	VERB
cana-526	319	14	𝒵~	𝒵~	NUM
cana-526	319	15	=	=	SYM
cana-526	319	16	{	{	PUNCT
cana-526	319	17	(	(	PUNCT
cana-526	319	18	2	2	NUM
cana-526	319	19	,	,	PUNCT
cana-526	319	20	4	4	NUM
cana-526	319	21	,	,	PUNCT
cana-526	319	22	8)	8)	NUM
cana-526	319	23	(	(	PUNCT
cana-526	319	24	1,4,10	1,4,10	NUM
cana-526	319	25	)	)	PUNCT
cana-526	319	26	}	}	PUNCT
cana-526	319	27	{	{	PUNCT
cana-526	319	28	(	(	PUNCT
cana-526	319	29	𝔭11′	𝔭11′	NOUN
cana-526	319	30	,	,	PUNCT
cana-526	319	31	𝔮11′	𝔮11′	NUM
cana-526	319	32	,	,	PUNCT
cana-526	319	33	𝔯11′	𝔯11′	PROPN
cana-526	319	34	)	)	PUNCT
cana-526	319	35	(	(	PUNCT
cana-526	319	36	𝔭11′′	𝔭11′′	PROPN
cana-526	319	37	,	,	PUNCT
cana-526	319	38	𝔮11′	𝔮11′	NUM
cana-526	319	39	,	,	PUNCT
cana-526	319	40	𝔯11′′	𝔯11′′	NUM
cana-526	319	41	)	)	PUNCT
cana-526	319	42	}	}	PUNCT
cana-526	320	1	+	+	CCONJ
cana-526	320	2	{	{	PUNCT
cana-526	320	3	(	(	PUNCT
cana-526	320	4	2,3,5	2,3,5	NUM
cana-526	320	5	)	)	PUNCT
cana-526	320	6	(	(	PUNCT
cana-526	320	7	1,3,7	1,3,7	NUM
cana-526	320	8	)	)	PUNCT
cana-526	320	9	}	}	PUNCT
cana-526	320	10	{	{	PUNCT
cana-526	320	11	(	(	PUNCT
cana-526	320	12	𝔭12′	𝔭12′	PROPN
cana-526	320	13	,	,	PUNCT
cana-526	320	14	𝔮12′	𝔮12′	PROPN
cana-526	320	15	,	,	PUNCT
cana-526	320	16	𝔯12′	𝔯12′	PROPN
cana-526	320	17	)	)	PUNCT
cana-526	320	18	(	(	PUNCT
cana-526	320	19	𝔭12′′	𝔭12′′	NUM
cana-526	320	20	,	,	PUNCT
cana-526	320	21	𝔮12′	𝔮12′	PROPN
cana-526	320	22	,	,	PUNCT
cana-526	320	23	𝔯′12′	𝔯′12′	PROPN
cana-526	320	24	)	)	PUNCT
cana-526	320	25	}	}	PUNCT
cana-526	321	1	+	+	CCONJ
cana-526	321	2	{	{	PUNCT
cana-526	321	3	(	(	PUNCT
cana-526	321	4	0	0	NUM
cana-526	321	5	,	,	PUNCT
cana-526	321	6	0	0	NUM
cana-526	321	7	,	,	PUNCT
cana-526	321	8	0	0	NUM
cana-526	321	9	)	)	PUNCT
cana-526	321	10	(	(	PUNCT
cana-526	321	11	0,0,0	0,0,0	NOUN
cana-526	321	12	)	)	PUNCT
cana-526	321	13	}	}	PUNCT
cana-526	321	14	{	{	PUNCT
cana-526	321	15	(	(	PUNCT
cana-526	321	16	𝔭21′	𝔭21′	NOUN
cana-526	321	17	,	,	PUNCT
cana-526	321	18	𝔮21′	𝔮21′	NOUN
cana-526	321	19	,	,	PUNCT
cana-526	321	20	𝔯21′	𝔯21′	NOUN
cana-526	321	21	)	)	PUNCT
cana-526	321	22	(	(	PUNCT
cana-526	321	23	𝔭21′′	𝔭21′′	PRON
cana-526	321	24	,	,	PUNCT
cana-526	321	25	𝔮21′	𝔮21′	NOUN
cana-526	321	26	,	,	PUNCT
cana-526	321	27	𝔯21′′	𝔯21′′	PROPN
cana-526	321	28	)	)	PUNCT
cana-526	321	29	}	}	PUNCT
cana-526	321	30	+	+	CCONJ
cana-526	321	31	{	{	PUNCT
cana-526	321	32	(	(	PUNCT
cana-526	321	33	0	0	NUM
cana-526	321	34	,	,	PUNCT
cana-526	321	35	0	0	NUM
cana-526	321	36	,	,	PUNCT
cana-526	321	37	0	0	NUM
cana-526	321	38	)	)	PUNCT
cana-526	321	39	(	(	PUNCT
cana-526	321	40	0,0,0	0,0,0	NOUN
cana-526	321	41	)	)	PUNCT
cana-526	321	42	}	}	PUNCT
cana-526	321	43	{	{	PUNCT
cana-526	321	44	(	(	PUNCT
cana-526	321	45	𝔭22′	𝔭22′	PROPN
cana-526	321	46	,	,	PUNCT
cana-526	321	47	𝔮22′	𝔮22′	PROPN
cana-526	321	48	,	,	PUNCT
cana-526	321	49	𝔯22′	𝔯22′	NOUN
cana-526	321	50	)	)	PUNCT
cana-526	321	51	(	(	PUNCT
cana-526	321	52	𝔭′22′	𝔭′22′	PROPN
cana-526	321	53	,	,	PUNCT
cana-526	321	54	𝔮22′	𝔮22′	PROPN
cana-526	321	55	,	,	PUNCT
cana-526	321	56	𝔯′22′	𝔯′22′	ADV
cana-526	321	57	)	)	PUNCT
cana-526	321	58	}	}	PUNCT
cana-526	321	59	subject	subject	ADJ
cana-526	321	60	to	to	ADP
cana-526	321	61	{	{	PUNCT
cana-526	321	62	(	(	PUNCT
cana-526	321	63	𝔭11′	𝔭11′	NOUN
cana-526	321	64	,	,	PUNCT
cana-526	321	65	𝔮11	𝔮11	ADJ
cana-526	321	66	′	′	NOUN
cana-526	321	67	,	,	PUNCT
cana-526	321	68	𝔯11	𝔯11	NOUN
cana-526	321	69	′	′	NUM
cana-526	321	70	)	)	PUNCT
cana-526	321	71	(	(	PUNCT
cana-526	321	72	𝔭11′′	𝔭11′′	NUM
cana-526	321	73	,	,	PUNCT
cana-526	321	74	𝔮11	𝔮11	ADJ
cana-526	321	75	′	′	NUM
cana-526	321	76	,	,	PUNCT
cana-526	321	77	𝔯11′′	𝔯11′′	NUM
cana-526	321	78	)	)	PUNCT
cana-526	321	79	}	}	PUNCT
cana-526	321	80	+	+	CCONJ
cana-526	321	81	{	{	PUNCT
cana-526	321	82	(	(	PUNCT
cana-526	321	83	𝔭12′	𝔭12′	X
cana-526	321	84	,	,	PUNCT
cana-526	321	85	𝔮12	𝔮12	NOUN
cana-526	321	86	′	′	NOUN
cana-526	321	87	,	,	PUNCT
cana-526	321	88	𝔯12	𝔯12	PROPN
cana-526	321	89	′	′	NUM
cana-526	321	90	)	)	PUNCT
cana-526	321	91	(	(	PUNCT
cana-526	321	92	𝔭12′′	𝔭12′′	NUM
cana-526	321	93	,	,	PUNCT
cana-526	321	94	𝔮12	𝔮12	NOUN
cana-526	321	95	′	′	NOUN
cana-526	321	96	,	,	PUNCT
cana-526	321	97	𝔯′12′	𝔯′12′	PROPN
cana-526	321	98	)	)	PUNCT
cana-526	321	99	}	}	PUNCT
cana-526	322	1	=	=	SYM
cana-526	322	2	1	1	NUM
cana-526	322	3	{	{	PUNCT
cana-526	322	4	(	(	PUNCT
cana-526	322	5	𝔭21′	𝔭21′	NOUN
cana-526	322	6	,	,	PUNCT
cana-526	322	7	𝔮21	𝔮21	NOUN
cana-526	322	8	′	′	NUM
cana-526	322	9	,	,	PUNCT
cana-526	322	10	𝔯21	𝔯21	NOUN
cana-526	322	11	′	′	NUM
cana-526	322	12	)	)	PUNCT
cana-526	322	13	(	(	PUNCT
cana-526	322	14	𝔭21′′	𝔭21′′	INTJ
cana-526	322	15	,	,	PUNCT
cana-526	322	16	𝔮21	𝔮21	NOUN
cana-526	322	17	′	′	NUM
cana-526	322	18	,	,	PUNCT
cana-526	322	19	𝔯21′′	𝔯21′′	PROPN
cana-526	322	20	)	)	PUNCT
cana-526	322	21	}	}	PUNCT
cana-526	322	22	+	+	CCONJ
cana-526	322	23	{	{	PUNCT
cana-526	322	24	(	(	PUNCT
cana-526	322	25	𝔭22′	𝔭22′	PROPN
cana-526	322	26	,	,	PUNCT
cana-526	322	27	𝔮22	𝔮22	NOUN
cana-526	322	28	′	′	NOUN
cana-526	322	29	,	,	PUNCT
cana-526	322	30	𝔯22	𝔯22	NOUN
cana-526	322	31	′	′	NUM
cana-526	322	32	)	)	PUNCT
cana-526	322	33	(	(	PUNCT
cana-526	322	34	𝔭′22	𝔭′22	ADJ
cana-526	322	35	′	′	NOUN
cana-526	322	36	,	,	PUNCT
cana-526	322	37	𝔮22	𝔮22	NOUN
cana-526	322	38	′	′	NOUN
cana-526	322	39	,	,	PUNCT
cana-526	322	40	𝔯′22′	𝔯′22′	ADV
cana-526	322	41	)	)	PUNCT
cana-526	322	42	}	}	PUNCT
cana-526	322	43	=	=	SYM
cana-526	322	44	1	1	NUM
cana-526	322	45	{	{	PUNCT
cana-526	322	46	(	(	PUNCT
cana-526	322	47	𝔭11′	𝔭11′	NOUN
cana-526	322	48	,	,	PUNCT
cana-526	322	49	𝔮11	𝔮11	ADJ
cana-526	322	50	′	′	NOUN
cana-526	322	51	,	,	PUNCT
cana-526	322	52	𝔯11	𝔯11	NOUN
cana-526	322	53	′	′	NUM
cana-526	322	54	)	)	PUNCT
cana-526	322	55	(	(	PUNCT
cana-526	322	56	𝔭11′′	𝔭11′′	NUM
cana-526	322	57	,	,	PUNCT
cana-526	322	58	𝔮11	𝔮11	ADJ
cana-526	322	59	′	′	NUM
cana-526	322	60	,	,	PUNCT
cana-526	322	61	𝔯11′′	𝔯11′′	NUM
cana-526	322	62	)	)	PUNCT
cana-526	322	63	}	}	PUNCT
cana-526	322	64	+	+	X
cana-526	322	65	{	{	PUNCT
cana-526	322	66	(	(	PUNCT
cana-526	322	67	𝔭21′	𝔭21′	NOUN
cana-526	322	68	,	,	PUNCT
cana-526	322	69	𝔮21	𝔮21	NOUN
cana-526	322	70	′	′	NUM
cana-526	322	71	,	,	PUNCT
cana-526	322	72	𝔯21	𝔯21	NOUN
cana-526	322	73	′	′	NUM
cana-526	322	74	)	)	PUNCT
cana-526	322	75	(	(	PUNCT
cana-526	322	76	𝔭21′′	𝔭21′′	INTJ
cana-526	322	77	,	,	PUNCT
cana-526	322	78	𝔮21	𝔮21	NOUN
cana-526	322	79	′	′	NUM
cana-526	322	80	,	,	PUNCT
cana-526	322	81	𝔯21′′	𝔯21′′	PROPN
cana-526	322	82	)	)	PUNCT
cana-526	322	83	}	}	PUNCT
cana-526	322	84	=	=	SYM
cana-526	322	85	1	1	NUM
cana-526	322	86	{	{	PUNCT
cana-526	322	87	(	(	PUNCT
cana-526	322	88	𝔭12′	𝔭12′	X
cana-526	322	89	,	,	PUNCT
cana-526	322	90	𝔮12	𝔮12	NOUN
cana-526	322	91	′	′	NOUN
cana-526	322	92	,	,	PUNCT
cana-526	322	93	𝔯12	𝔯12	PROPN
cana-526	322	94	′	′	NUM
cana-526	322	95	)	)	PUNCT
cana-526	322	96	(	(	PUNCT
cana-526	322	97	𝔭12′′	𝔭12′′	NUM
cana-526	322	98	,	,	PUNCT
cana-526	322	99	𝔮12	𝔮12	NOUN
cana-526	322	100	′	′	NOUN
cana-526	322	101	,	,	PUNCT
cana-526	322	102	𝔯′12′	𝔯′12′	PROPN
cana-526	322	103	)	)	PUNCT
cana-526	322	104	}	}	PUNCT
cana-526	322	105	+	+	CCONJ
cana-526	322	106	{	{	PUNCT
cana-526	322	107	(	(	PUNCT
cana-526	322	108	𝔭22′	𝔭22′	PROPN
cana-526	322	109	,	,	PUNCT
cana-526	322	110	𝔮22	𝔮22	NOUN
cana-526	322	111	′	′	NOUN
cana-526	322	112	,	,	PUNCT
cana-526	322	113	𝔯22	𝔯22	NOUN
cana-526	322	114	′	′	NUM
cana-526	322	115	)	)	PUNCT
cana-526	322	116	(	(	PUNCT
cana-526	322	117	𝔭′22	𝔭′22	ADJ
cana-526	322	118	′	′	NOUN
cana-526	322	119	,	,	PUNCT
cana-526	322	120	𝔮22	𝔮22	NOUN
cana-526	322	121	′	′	NOUN
cana-526	322	122	,	,	PUNCT
cana-526	322	123	𝔯′22′	𝔯′22′	ADV
cana-526	322	124	)	)	PUNCT
cana-526	322	125	}	}	PUNCT
cana-526	322	126	=	=	SYM
cana-526	322	127	1	1	NUM
cana-526	323	1	where	where	SCONJ
cana-526	323	2	{	{	PUNCT
cana-526	323	3	(	(	PUNCT
cana-526	323	4	𝔭11′	𝔭11′	NOUN
cana-526	323	5	,	,	PUNCT
cana-526	323	6	𝔮11	𝔮11	ADJ
cana-526	323	7	′	′	NOUN
cana-526	323	8	,	,	PUNCT
cana-526	323	9	𝔯11	𝔯11	NOUN
cana-526	323	10	′	′	NUM
cana-526	323	11	)	)	PUNCT
cana-526	323	12	(	(	PUNCT
cana-526	323	13	𝔭11′′	𝔭11′′	NUM
cana-526	323	14	,	,	PUNCT
cana-526	323	15	𝔮11	𝔮11	ADJ
cana-526	323	16	′	′	NUM
cana-526	323	17	,	,	PUNCT
cana-526	323	18	𝔯11′′	𝔯11′′	NUM
cana-526	323	19	)	)	PUNCT
cana-526	323	20	}	}	PUNCT
cana-526	323	21	,	,	PUNCT
cana-526	323	22	{	{	PUNCT
cana-526	323	23	(	(	PUNCT
cana-526	323	24	𝔭12′	𝔭12′	X
cana-526	323	25	,	,	PUNCT
cana-526	323	26	𝔮12	𝔮12	NOUN
cana-526	323	27	′	′	NOUN
cana-526	323	28	,	,	PUNCT
cana-526	323	29	𝔯12	𝔯12	PROPN
cana-526	323	30	′	′	NUM
cana-526	323	31	)	)	PUNCT
cana-526	323	32	(	(	PUNCT
cana-526	323	33	𝔭12′′	𝔭12′′	NUM
cana-526	323	34	,	,	PUNCT
cana-526	323	35	𝔮12	𝔮12	NOUN
cana-526	323	36	′	′	NOUN
cana-526	323	37	,	,	PUNCT
cana-526	323	38	𝔯′12′	𝔯′12′	PROPN
cana-526	323	39	)	)	PUNCT
cana-526	323	40	}	}	PUNCT
cana-526	323	41	,	,	PUNCT
cana-526	323	42	{	{	PUNCT
cana-526	323	43	(	(	PUNCT
cana-526	323	44	𝔭21′	𝔭21′	NOUN
cana-526	323	45	,	,	PUNCT
cana-526	323	46	𝔮21	𝔮21	NOUN
cana-526	323	47	′	′	NUM
cana-526	323	48	,	,	PUNCT
cana-526	323	49	𝔯21	𝔯21	NOUN
cana-526	323	50	′	′	NUM
cana-526	323	51	)	)	PUNCT
cana-526	323	52	(	(	PUNCT
cana-526	323	53	𝔭21′′	𝔭21′′	INTJ
cana-526	323	54	,	,	PUNCT
cana-526	323	55	𝔮21	𝔮21	NOUN
cana-526	323	56	′	′	NUM
cana-526	323	57	,	,	PUNCT
cana-526	323	58	𝔯21′′	𝔯21′′	PROPN
cana-526	323	59	)	)	PUNCT
cana-526	323	60	}	}	PUNCT
cana-526	323	61	,	,	PUNCT
cana-526	323	62	{	{	PUNCT
cana-526	323	63	(	(	PUNCT
cana-526	323	64	𝔭22′	𝔭22′	PROPN
cana-526	323	65	,	,	PUNCT
cana-526	323	66	𝔮22	𝔮22	NOUN
cana-526	323	67	′	′	NOUN
cana-526	323	68	,	,	PUNCT
cana-526	323	69	𝔯22	𝔯22	NOUN
cana-526	323	70	′	′	NUM
cana-526	323	71	)	)	PUNCT
cana-526	323	72	(	(	PUNCT
cana-526	323	73	𝔭′22	𝔭′22	ADJ
cana-526	323	74	′	′	NOUN
cana-526	323	75	,	,	PUNCT
cana-526	323	76	𝔮22	𝔮22	NOUN
cana-526	323	77	′	′	NOUN
cana-526	323	78	,	,	PUNCT
cana-526	323	79	𝔯′22′	𝔯′22′	PROPN
cana-526	323	80	)	)	PUNCT
cana-526	323	81	are	be	AUX
cana-526	323	82	all	all	PRON
cana-526	323	83	≥	≥	NOUN
cana-526	323	84	0	0	NUM
cana-526	323	85	.	.	NOUN
cana-526	323	86	2	2	NUM
cana-526	323	87	minimize	minimize	VERB
cana-526	323	88	𝒵~=	𝒵~=	NUM
cana-526	323	89	{	{	PUNCT
cana-526	323	90	(	(	PUNCT
cana-526	323	91	2𝔭11′	2𝔭11′	NUM
cana-526	323	92	,	,	PUNCT
cana-526	323	93	4𝔮11′	4𝔮11′	PROPN
cana-526	323	94	,	,	PUNCT
cana-526	323	95	8𝔯11′	8𝔯11′	NUM
cana-526	323	96	)	)	PUNCT
cana-526	323	97	(	(	PUNCT
cana-526	323	98	1𝔭11′′	1𝔭11′′	NUM
cana-526	323	99	,	,	PUNCT
cana-526	323	100	4𝔮11′	4𝔮11′	PROPN
cana-526	323	101	,	,	PUNCT
cana-526	323	102	10𝔯′11′	10𝔯′11′	NUM
cana-526	323	103	)	)	PUNCT
cana-526	323	104	}	}	PUNCT
cana-526	323	105	+	+	CCONJ
cana-526	323	106	{	{	PUNCT
cana-526	323	107	(	(	PUNCT
cana-526	323	108	2𝔭12′	2𝔭12′	NUM
cana-526	323	109	,	,	PUNCT
cana-526	323	110	,	,	PUNCT
cana-526	323	111	3𝔮12′	3𝔮12′	NUM
cana-526	323	112	,	,	PUNCT
cana-526	323	113	5𝔯12′	5𝔯12′	PROPN
cana-526	323	114	)	)	PUNCT
cana-526	323	115	(	(	PUNCT
cana-526	323	116	1𝔭12′′	1𝔭12′′	NUM
cana-526	323	117	,	,	PUNCT
cana-526	323	118	3𝔮12′	3𝔮12′	NUM
cana-526	323	119	,	,	PUNCT
cana-526	323	120	7𝔯12′′	7𝔯12′′	NUM
cana-526	323	121	)	)	PUNCT
cana-526	323	122	}	}	PUNCT
cana-526	323	123	+	+	CCONJ
cana-526	323	124	{	{	PUNCT
cana-526	323	125	(	(	PUNCT
cana-526	323	126	0𝔭21′	0𝔭21′	X
cana-526	323	127	,	,	PUNCT
cana-526	323	128	0𝔮21′	0𝔮21′	NOUN
cana-526	323	129	,	,	PUNCT
cana-526	323	130	0𝔯21′	0𝔯21′	NOUN
cana-526	323	131	)	)	PUNCT
cana-526	323	132	(	(	PUNCT
cana-526	323	133	0𝔭21′′	0𝔭21′′	NUM
cana-526	323	134	,	,	PUNCT
cana-526	323	135	0𝔮21′	0𝔮21′	NOUN
cana-526	323	136	,	,	PUNCT
cana-526	323	137	0𝔯21′′	0𝔯21′′	NUM
cana-526	323	138	)	)	PUNCT
cana-526	324	1	+	+	CCONJ
cana-526	324	2	{	{	PUNCT
cana-526	324	3	(	(	PUNCT
cana-526	324	4	0𝔭22′	0𝔭22′	INTJ
cana-526	324	5	,	,	PUNCT
cana-526	324	6	0𝔮22′	0𝔮22′	ADJ
cana-526	324	7	,	,	PUNCT
cana-526	324	8	0𝔯22′	0𝔯22′	NOUN
cana-526	324	9	)	)	PUNCT
cana-526	324	10	(	(	PUNCT
cana-526	324	11	0𝔭22′′	0𝔭22′′	NUM
cana-526	324	12	,	,	PUNCT
cana-526	324	13	0𝔮22′	0𝔮22′	ADJ
cana-526	324	14	,	,	PUNCT
cana-526	324	15	0𝔯22′′	0𝔯22′′	NUM
cana-526	324	16	)	)	PUNCT
cana-526	324	17	}	}	PUNCT
cana-526	324	18	subject	subject	ADJ
cana-526	324	19	to	to	ADP
cana-526	324	20	{	{	PUNCT
cana-526	324	21	(	(	PUNCT
cana-526	324	22	𝔭11′	𝔭11′	NOUN
cana-526	324	23	,	,	PUNCT
cana-526	324	24	𝔮11	𝔮11	ADJ
cana-526	324	25	′	′	NOUN
cana-526	324	26	,	,	PUNCT
cana-526	324	27	𝔯11	𝔯11	NOUN
cana-526	324	28	′	′	NUM
cana-526	324	29	)	)	PUNCT
cana-526	324	30	(	(	PUNCT
cana-526	324	31	𝔭11′′	𝔭11′′	NUM
cana-526	324	32	,	,	PUNCT
cana-526	324	33	𝔮11	𝔮11	ADJ
cana-526	324	34	′	′	NUM
cana-526	324	35	,	,	PUNCT
cana-526	324	36	𝔯11′′	𝔯11′′	NUM
cana-526	324	37	)	)	PUNCT
cana-526	324	38	}	}	PUNCT
cana-526	325	1	+	+	CCONJ
cana-526	325	2	{	{	PUNCT
cana-526	325	3	(	(	PUNCT
cana-526	325	4	𝔭12′	𝔭12′	X
cana-526	325	5	,	,	PUNCT
cana-526	325	6	𝔮12	𝔮12	NOUN
cana-526	325	7	′	′	NOUN
cana-526	325	8	,	,	PUNCT
cana-526	325	9	𝔯12	𝔯12	PROPN
cana-526	325	10	′	′	NUM
cana-526	325	11	)	)	PUNCT
cana-526	325	12	(	(	PUNCT
cana-526	325	13	𝔭12′′	𝔭12′′	NUM
cana-526	325	14	,	,	PUNCT
cana-526	325	15	𝔮12	𝔮12	NOUN
cana-526	325	16	′	′	NOUN
cana-526	325	17	,	,	PUNCT
cana-526	325	18	𝔯′12′	𝔯′12′	PROPN
cana-526	325	19	)	)	PUNCT
cana-526	325	20	}	}	PUNCT
cana-526	326	1	=	=	SYM
cana-526	326	2	1	1	NUM
cana-526	326	3	{	{	PUNCT
cana-526	326	4	(	(	PUNCT
cana-526	326	5	𝔭21′	𝔭21′	NOUN
cana-526	326	6	,	,	PUNCT
cana-526	326	7	𝔮21	𝔮21	NOUN
cana-526	326	8	′	′	NUM
cana-526	326	9	,	,	PUNCT
cana-526	326	10	𝔯21	𝔯21	NOUN
cana-526	326	11	′	′	NUM
cana-526	326	12	)	)	PUNCT
cana-526	326	13	(	(	PUNCT
cana-526	326	14	𝔭21′′	𝔭21′′	INTJ
cana-526	326	15	,	,	PUNCT
cana-526	326	16	𝔮21	𝔮21	NOUN
cana-526	326	17	′	′	NUM
cana-526	326	18	,	,	PUNCT
cana-526	326	19	𝔯21′′	𝔯21′′	PROPN
cana-526	326	20	)	)	PUNCT
cana-526	326	21	}	}	PUNCT
cana-526	326	22	+	+	CCONJ
cana-526	326	23	{	{	PUNCT
cana-526	326	24	(	(	PUNCT
cana-526	326	25	𝔭22′	𝔭22′	PROPN
cana-526	326	26	,	,	PUNCT
cana-526	326	27	𝔮22	𝔮22	NOUN
cana-526	326	28	′	′	NOUN
cana-526	326	29	,	,	PUNCT
cana-526	326	30	𝔯22	𝔯22	NOUN
cana-526	326	31	′	′	NUM
cana-526	326	32	)	)	PUNCT
cana-526	326	33	(	(	PUNCT
cana-526	326	34	𝔭′22	𝔭′22	ADJ
cana-526	326	35	′	′	NOUN
cana-526	326	36	,	,	PUNCT
cana-526	326	37	𝔮22	𝔮22	NOUN
cana-526	326	38	′	′	NOUN
cana-526	326	39	,	,	PUNCT
cana-526	326	40	𝔯′22′	𝔯′22′	ADV
cana-526	326	41	)	)	PUNCT
cana-526	326	42	}	}	PUNCT
cana-526	326	43	=	=	SYM
cana-526	326	44	1	1	NUM
cana-526	326	45	{	{	PUNCT
cana-526	326	46	(	(	PUNCT
cana-526	326	47	𝔭11′	𝔭11′	NOUN
cana-526	326	48	,	,	PUNCT
cana-526	326	49	𝔮11	𝔮11	ADJ
cana-526	326	50	′	′	NOUN
cana-526	326	51	,	,	PUNCT
cana-526	326	52	𝔯11	𝔯11	NOUN
cana-526	326	53	′	′	NUM
cana-526	326	54	)	)	PUNCT
cana-526	326	55	(	(	PUNCT
cana-526	326	56	𝔭11′′	𝔭11′′	NUM
cana-526	326	57	,	,	PUNCT
cana-526	326	58	𝔮11	𝔮11	ADJ
cana-526	326	59	′	′	NUM
cana-526	326	60	,	,	PUNCT
cana-526	326	61	𝔯11′′	𝔯11′′	NUM
cana-526	326	62	)	)	PUNCT
cana-526	326	63	}	}	PUNCT
cana-526	326	64	+	+	X
cana-526	326	65	{	{	PUNCT
cana-526	326	66	(	(	PUNCT
cana-526	326	67	𝔭21′	𝔭21′	NOUN
cana-526	326	68	,	,	PUNCT
cana-526	326	69	𝔮21	𝔮21	NOUN
cana-526	326	70	′	′	NUM
cana-526	326	71	,	,	PUNCT
cana-526	326	72	𝔯21	𝔯21	NOUN
cana-526	326	73	′	′	NUM
cana-526	326	74	)	)	PUNCT
cana-526	326	75	(	(	PUNCT
cana-526	326	76	𝔭21′′	𝔭21′′	INTJ
cana-526	326	77	,	,	PUNCT
cana-526	326	78	𝔮21	𝔮21	NOUN
cana-526	326	79	′	′	NUM
cana-526	326	80	,	,	PUNCT
cana-526	326	81	𝔯21′′	𝔯21′′	PROPN
cana-526	326	82	)	)	PUNCT
cana-526	326	83	}	}	PUNCT
cana-526	326	84	=	=	SYM
cana-526	326	85	1	1	NUM
cana-526	326	86	{	{	PUNCT
cana-526	326	87	(	(	PUNCT
cana-526	326	88	𝔭12′	𝔭12′	X
cana-526	326	89	,	,	PUNCT
cana-526	326	90	𝔮12	𝔮12	NOUN
cana-526	326	91	′	′	NOUN
cana-526	326	92	,	,	PUNCT
cana-526	326	93	𝔯12	𝔯12	PROPN
cana-526	326	94	′	′	NUM
cana-526	326	95	)	)	PUNCT
cana-526	326	96	(	(	PUNCT
cana-526	326	97	𝔭12′′	𝔭12′′	NUM
cana-526	326	98	,	,	PUNCT
cana-526	326	99	𝔮12	𝔮12	NOUN
cana-526	326	100	′	′	NOUN
cana-526	326	101	,	,	PUNCT
cana-526	326	102	𝔯′12′	𝔯′12′	PROPN
cana-526	326	103	)	)	PUNCT
cana-526	326	104	}	}	PUNCT
cana-526	326	105	+	+	CCONJ
cana-526	326	106	{	{	PUNCT
cana-526	326	107	(	(	PUNCT
cana-526	326	108	𝔭22′	𝔭22′	PROPN
cana-526	326	109	,	,	PUNCT
cana-526	326	110	𝔮22	𝔮22	NOUN
cana-526	326	111	′	′	NOUN
cana-526	326	112	,	,	PUNCT
cana-526	326	113	𝔯22	𝔯22	NOUN
cana-526	326	114	′	′	NUM
cana-526	326	115	)	)	PUNCT
cana-526	326	116	(	(	PUNCT
cana-526	326	117	𝔭′22	𝔭′22	ADJ
cana-526	326	118	′	′	NOUN
cana-526	326	119	,	,	PUNCT
cana-526	326	120	𝔮22	𝔮22	NOUN
cana-526	326	121	′	′	NOUN
cana-526	326	122	,	,	PUNCT
cana-526	326	123	𝔯′22′	𝔯′22′	ADV
cana-526	326	124	)	)	PUNCT
cana-526	326	125	}	}	PUNCT
cana-526	326	126	=	=	SYM
cana-526	326	127	1	1	NUM
cana-526	326	128	3	3	NUM
cana-526	326	129	applying	apply	VERB
cana-526	326	130	ranking	rank	VERB
cana-526	326	131	function	function	NOUN
cana-526	326	132	,	,	PUNCT
cana-526	326	133	minimize	minimize	VERB
cana-526	326	134	𝒵~=	𝒵~=	PROPN
cana-526	326	135	ℝ	ℝ	PROPN
cana-526	326	136	{	{	PUNCT
cana-526	326	137	{	{	PUNCT
cana-526	326	138	(	(	PUNCT
cana-526	326	139	2𝔭11′	2𝔭11′	NUM
cana-526	326	140	+2𝔭12′	+2𝔭12′	X
cana-526	326	141	+	+	X
cana-526	326	142	0𝔭21	0𝔭21	NOUN
cana-526	326	143	′	′	NUM
cana-526	327	1	+	+	NUM
cana-526	327	2	0𝔭22	0𝔭22	NUM
cana-526	327	3	′	′	NUM
cana-526	327	4	)	)	PUNCT
cana-526	327	5	,	,	PUNCT
cana-526	327	6	(	(	PUNCT
cana-526	327	7	4𝔮11′	4𝔮11′	NOUN
cana-526	327	8	+3𝔮12′	+3𝔮12′	X
cana-526	328	1	+	+	X
cana-526	328	2	0𝔮21	0𝔮21	NOUN
cana-526	328	3	′	′	NUM
cana-526	329	1	+	+	CCONJ
cana-526	329	2	0𝔮22	0𝔮22	NOUN
cana-526	329	3	′	′	NUM
cana-526	329	4	)	)	PUNCT
cana-526	329	5	,	,	PUNCT
cana-526	329	6	(	(	PUNCT
cana-526	329	7	8𝔯11′	8𝔯11′	X
cana-526	329	8	+5𝔯12′	+5𝔯12′	X
cana-526	329	9	+	+	NUM
cana-526	329	10	0𝔯21	0𝔯21	NOUN
cana-526	329	11	′	′	NUM
cana-526	330	1	+	+	CCONJ
cana-526	330	2	0𝔯22	0𝔯22	NOUN
cana-526	330	3	′	′	NUM
cana-526	330	4	)	)	PUNCT
cana-526	330	5	;	;	PUNCT
cana-526	330	6	(	(	PUNCT
cana-526	330	7	1𝔭11′′	1𝔭11′′	NUM
cana-526	330	8	+	+	SYM
cana-526	330	9	1𝔭12′′	1𝔭12′′	NUM
cana-526	330	10	+	+	NUM
cana-526	330	11	0𝔭21′′	0𝔭21′′	NUM
cana-526	330	12	+	+	X
cana-526	330	13	0𝔭22′′	0𝔭22′′	NUM
cana-526	330	14	)	)	PUNCT
cana-526	330	15	,	,	PUNCT
cana-526	330	16	)	)	PUNCT
cana-526	330	17	,	,	PUNCT
cana-526	330	18	(	(	PUNCT
cana-526	330	19	4𝔮11′	4𝔮11′	NOUN
cana-526	330	20	+3𝔮12′	+3𝔮12′	X
cana-526	331	1	+	+	X
cana-526	331	2	0𝔮21	0𝔮21	NOUN
cana-526	331	3	′	′	NUM
cana-526	332	1	+	+	CCONJ
cana-526	332	2	0𝔮22	0𝔮22	NOUN
cana-526	332	3	′	′	NUM
cana-526	332	4	)	)	PUNCT
cana-526	332	5	,	,	PUNCT
cana-526	332	6	(	(	PUNCT
cana-526	332	7	10𝔯11′′	10𝔯11′′	NUM
cana-526	332	8	+	+	NUM
cana-526	332	9	7𝔯12′′	7𝔯12′′	NUM
cana-526	332	10	+	+	NUM
cana-526	332	11	0𝔯′21′	0𝔯′21′	NUM
cana-526	332	12	+	+	CCONJ
cana-526	332	13	0𝔯22	0𝔯22	NOUN
cana-526	332	14	′′	′′	PROPN
cana-526	332	15	)	)	PUNCT
cana-526	332	16	}	}	PUNCT
cana-526	332	17	}	}	PUNCT
cana-526	332	18	subject	subject	ADJ
cana-526	332	19	to	to	ADP
cana-526	332	20	{	{	PUNCT
cana-526	332	21	(	(	PUNCT
cana-526	332	22	𝔭11′	𝔭11′	X
cana-526	332	23	+	+	CCONJ
cana-526	332	24	𝔭12	𝔭12	NUM
cana-526	332	25	′	′	NUM
cana-526	332	26	,	,	PUNCT
cana-526	332	27	𝔮11	𝔮11	ADJ
cana-526	332	28	′	′	NOUN
cana-526	333	1	+	+	PROPN
cana-526	333	2	,	,	PUNCT
cana-526	333	3	𝔮12	𝔮12	PROPN
cana-526	333	4	′	′	NOUN
cana-526	333	5	,	,	PUNCT
cana-526	333	6	𝔯11	𝔯11	PROPN
cana-526	333	7	′	′	NOUN
cana-526	334	1	+	+	PUNCT
cana-526	334	2	𝔯12	𝔯12	PROPN
cana-526	334	3	′	′	NUM
cana-526	334	4	)	)	PUNCT
cana-526	334	5	;	;	PUNCT
cana-526	334	6	(	(	PUNCT
cana-526	334	7	𝔭′11′	𝔭′11′	X
cana-526	334	8	+	+	CCONJ
cana-526	334	9	𝔭12	𝔭12	NUM
cana-526	334	10	′′	′′	PROPN
cana-526	334	11	,	,	PUNCT
cana-526	334	12	𝔮11	𝔮11	ADJ
cana-526	334	13	′	′	NOUN
cana-526	334	14	+	+	PROPN
cana-526	334	15	,	,	PUNCT
cana-526	334	16	𝔮12	𝔮12	PROPN
cana-526	334	17	′	′	NOUN
cana-526	334	18	,	,	PUNCT
cana-526	334	19	𝔯11′′	𝔯11′′	PROPN
cana-526	334	20	+	+	CCONJ
cana-526	334	21	𝔯′12′	𝔯′12′	PROPN
cana-526	334	22	)	)	PUNCT
cana-526	334	23	}	}	PUNCT
cana-526	335	1	=	=	SYM
cana-526	335	2	1	1	X
cana-526	335	3	{	{	PUNCT
cana-526	335	4	(	(	PUNCT
cana-526	335	5	𝔭21′	𝔭21′	NOUN
cana-526	335	6	+	+	CCONJ
cana-526	335	7	𝔭22	𝔭22	NOUN
cana-526	335	8	′	′	NOUN
cana-526	335	9	,	,	PUNCT
cana-526	335	10	𝔮21	𝔮21	NOUN
cana-526	335	11	′	′	NUM
cana-526	336	1	+	+	CCONJ
cana-526	336	2	𝔮22	𝔮22	NOUN
cana-526	336	3	′	′	NOUN
cana-526	336	4	,	,	PUNCT
cana-526	336	5	𝔯21	𝔯21	NOUN
cana-526	336	6	′	′	VERB
cana-526	336	7	+	+	CCONJ
cana-526	336	8	𝔯22	𝔯22	NOUN
cana-526	336	9	′	′	NUM
cana-526	336	10	)	)	PUNCT
cana-526	336	11	;	;	PUNCT
cana-526	336	12	(	(	PUNCT
cana-526	336	13	𝔭21′′	𝔭21′′	PRON
cana-526	337	1	+	+	CCONJ
cana-526	337	2	𝔭′22′	𝔭′22′	PROPN
cana-526	337	3	,	,	PUNCT
cana-526	337	4	𝔮21′	𝔮21′	X
cana-526	337	5	+	+	CCONJ
cana-526	337	6	𝔮22	𝔮22	NOUN
cana-526	337	7	′	′	NOUN
cana-526	337	8	,	,	PUNCT
cana-526	337	9	𝔯′21′	𝔯′21′	X
cana-526	337	10	+	+	CCONJ
cana-526	337	11	𝔯′22	𝔯′22	ADJ
cana-526	337	12	′	′	NOUN
cana-526	337	13	)	)	PUNCT
cana-526	337	14	}	}	PUNCT
cana-526	338	1	=	=	SYM
cana-526	338	2	1	1	X
cana-526	338	3	{	{	PUNCT
cana-526	338	4	(	(	PUNCT
cana-526	338	5	𝔭11′	𝔭11′	X
cana-526	338	6	+	+	CCONJ
cana-526	338	7	𝔭21	𝔭21	NUM
cana-526	338	8	′	′	NUM
cana-526	338	9	,	,	PUNCT
cana-526	338	10	𝔮11	𝔮11	ADJ
cana-526	338	11	′	′	NOUN
cana-526	338	12	+	+	CCONJ
cana-526	338	13	𝔮21	𝔮21	NUM
cana-526	338	14	′	′	NOUN
cana-526	338	15	,	,	PUNCT
cana-526	338	16	𝔯11	𝔯11	NOUN
cana-526	338	17	′	′	NOUN
cana-526	339	1	+	+	NUM
cana-526	339	2	𝔯21	𝔯21	NOUN
cana-526	339	3	′	′	NUM
cana-526	339	4	)	)	PUNCT
cana-526	339	5	;	;	PUNCT
cana-526	339	6	(	(	PUNCT
cana-526	339	7	𝔭′11′	𝔭′11′	X
cana-526	339	8	+	+	NUM
cana-526	339	9	𝔭21	𝔭21	VERB
cana-526	339	10	′′	′′	PROPN
cana-526	339	11	,	,	PUNCT
cana-526	339	12	𝔮11	𝔮11	ADJ
cana-526	339	13	′	′	NOUN
cana-526	339	14	+	+	CCONJ
cana-526	339	15	𝔮21	𝔮21	NUM
cana-526	339	16	′	′	NUM
cana-526	339	17	,	,	PUNCT
cana-526	339	18	𝔯′11′	𝔯′11′	PROPN
cana-526	339	19	+	+	NUM
cana-526	339	20	𝔯21	𝔯21	NOUN
cana-526	339	21	′′	′′	PROPN
cana-526	339	22	)	)	PUNCT
cana-526	339	23	}	}	PUNCT
cana-526	339	24	=	=	SYM
cana-526	339	25	1	1	NUM
cana-526	339	26	{	{	PUNCT
cana-526	339	27	(	(	PUNCT
cana-526	339	28	𝔭12′	𝔭12′	X
cana-526	339	29	+	+	CCONJ
cana-526	339	30	𝔭22	𝔭22	NOUN
cana-526	339	31	′	′	NOUN
cana-526	339	32	,	,	PUNCT
cana-526	339	33	𝔮12	𝔮12	NOUN
cana-526	339	34	′	′	NOUN
cana-526	339	35	+	+	CCONJ
cana-526	339	36	𝔮22	𝔮22	NOUN
cana-526	339	37	′	′	NOUN
cana-526	339	38	,	,	PUNCT
cana-526	339	39	𝔯12	𝔯12	PROPN
cana-526	339	40	′	′	NUM
cana-526	340	1	+	+	CCONJ
cana-526	340	2	𝔯22	𝔯22	NOUN
cana-526	340	3	′	′	NUM
cana-526	340	4	)	)	PUNCT
cana-526	341	1	;	;	PUNCT
cana-526	341	2	(	(	PUNCT
cana-526	341	3	𝔭′12′	𝔭′12′	PROPN
cana-526	341	4	+	+	CCONJ
cana-526	341	5	𝔭′22	𝔭′22	PROPN
cana-526	341	6	′	′	NOUN
cana-526	341	7	,	,	PUNCT
cana-526	341	8	𝔮12	𝔮12	NOUN
cana-526	341	9	′	′	NOUN
cana-526	341	10	+	+	CCONJ
cana-526	341	11	𝔮22	𝔮22	NOUN
cana-526	341	12	′	′	NOUN
cana-526	341	13	,	,	PUNCT
cana-526	341	14	𝔯′12′	𝔯′12′	PROPN
cana-526	341	15	+	+	PROPN
cana-526	341	16	𝔯′22′	𝔯′22′	PROPN
cana-526	341	17	)	)	PUNCT
cana-526	341	18	}	}	PUNCT
cana-526	341	19	=	=	SYM
cana-526	341	20	1	1	NUM
cana-526	341	21	4	4	NUM
cana-526	341	22	by	by	ADP
cana-526	341	23	using	use	VERB
cana-526	341	24	arithmetic	arithmetic	ADJ
cana-526	341	25	operations	operation	NOUN
cana-526	341	26	,	,	PUNCT
cana-526	341	27	then	then	ADV
cana-526	341	28	the	the	DET
cana-526	341	29	problem	problem	NOUN
cana-526	341	30	converts	convert	VERB
cana-526	341	31	into	into	ADP
cana-526	341	32	crisp	crisp	ADJ
cana-526	341	33	assignment	assignment	NOUN
cana-526	341	34	problem	problem	NOUN
cana-526	341	35	,	,	PUNCT
cana-526	341	36	minimize	minimize	VERB
cana-526	341	37	𝒵~	𝒵~	NUM
cana-526	341	38	=	=	NOUN
cana-526	341	39	2𝔭11	2𝔭11	NOUN
cana-526	342	1	′	′	NUM
cana-526	342	2	+2𝔭12	+2𝔭12	NOUN
cana-526	343	1	′	′	NUM
cana-526	343	2	+0𝔭21	+0𝔭21	NOUN
cana-526	344	1	′	′	NUM
cana-526	345	1	+0𝔭22	+0𝔭22	DET
cana-526	345	2	′	′	NOUN
cana-526	345	3	+1𝔭11	+1𝔭11	VERB
cana-526	346	1	′′	′′	PROPN
cana-526	346	2	+1𝔭12	+1𝔭12	ADP
cana-526	346	3	′′	′′	PROPN
cana-526	346	4	+0𝔭21	+0𝔭21	NOUN
cana-526	346	5	′′	′′	PROPN
cana-526	346	6	+0𝔭22	+0𝔭22	PRON
cana-526	346	7	′′	′′	PROPN
cana-526	346	8	+16𝔮11	+16𝔮11	VERB
cana-526	346	9	′	′	NUM
cana-526	346	10	+12𝔮12	+12𝔮12	NOUN
cana-526	346	11	′	′	NUM
cana-526	347	1	+0𝔮21	+0𝔮21	CCONJ
cana-526	347	2	′	′	INTJ
cana-526	347	3	+0𝔮22	+0𝔮22	NUM
cana-526	348	1	′	′	NUM
cana-526	348	2	+8𝔯11	+8𝔯11	PRON
cana-526	348	3	′	′	NUM
cana-526	349	1	+5𝔯12	+5𝔯12	PRON
cana-526	349	2	′	′	NUM
cana-526	350	1	+0𝔯21	+0𝔯21	INTJ
cana-526	350	2	′	′	NUM
cana-526	351	1	+0𝔯22	+0𝔯22	NUM
cana-526	351	2	′	′	NUM
cana-526	351	3	+10𝔯11	+10𝔯11	NOUN
cana-526	352	1	′′	′′	PROPN
cana-526	352	2	+7𝔯12	+7𝔯12	PRON
cana-526	352	3	′′	′′	PROPN
cana-526	352	4	+0𝔯21	+0𝔯21	PRON
cana-526	352	5	′′	′′	PROPN
cana-526	352	6	+0𝔯22	+0𝔯22	PROPN
cana-526	352	7	′′	′′	PROPN
cana-526	352	8	8	8	NUM
cana-526	352	9	communications	communication	NOUN
cana-526	352	10	on	on	ADP
cana-526	352	11	applied	apply	VERB
cana-526	352	12	nonlinear	nonlinear	ADJ
cana-526	352	13	analysis	analysis	NOUN
cana-526	352	14	issn	issn	NOUN
cana-526	352	15	:	:	PUNCT
cana-526	352	16	1074	1074	NUM
cana-526	352	17	-	-	PUNCT
cana-526	352	18	133x	133x	NUM
cana-526	352	19	vol	vol	NOUN
cana-526	352	20	31	31	NUM
cana-526	352	21	no	no	NOUN
cana-526	352	22	.	.	NOUN
cana-526	352	23	2	2	NUM
cana-526	352	24	(	(	PUNCT
cana-526	352	25	2024	2024	NUM
cana-526	352	26	)	)	PUNCT
cana-526	353	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	353	2	153	153	NUM
cana-526	353	3	subject	subject	NOUN
cana-526	353	4	to	to	ADP
cana-526	353	5	𝔭11	𝔭11	NOUN
cana-526	353	6	′	′	NUM
cana-526	354	1	+	+	CCONJ
cana-526	354	2	𝔭12	𝔭12	NUM
cana-526	354	3	′	′	NUM
cana-526	355	1	=	=	SYM
cana-526	355	2	1	1	NUM
cana-526	355	3	𝔮11	𝔮11	NOUN
cana-526	355	4	′	′	NUM
cana-526	356	1	+	+	PROPN
cana-526	356	2	,	,	PUNCT
cana-526	356	3	𝔮12	𝔮12	NOUN
cana-526	356	4	′	′	NOUN
cana-526	356	5	=	=	SYM
cana-526	356	6	1	1	NUM
cana-526	356	7	𝔯11′	𝔯11′	NOUN
cana-526	356	8	+	+	X
cana-526	356	9	𝔯12	𝔯12	ADJ
cana-526	356	10	′	′	NUM
cana-526	356	11	=	=	SYM
cana-526	356	12	1	1	NUM
cana-526	356	13	𝔭′11′	𝔭′11′	NUM
cana-526	356	14	+	+	CCONJ
cana-526	356	15	𝔭12	𝔭12	NUM
cana-526	357	1	′′	′′	NOUN
cana-526	357	2	=	=	NOUN
cana-526	357	3	1	1	NUM
cana-526	357	4	𝔯11′′	𝔯11′′	NUM
cana-526	357	5	+	+	CCONJ
cana-526	357	6	𝔯′12′	𝔯′12′	PROPN
cana-526	357	7	=	=	SYM
cana-526	357	8	1	1	NUM
cana-526	357	9	𝔭21	𝔭21	NOUN
cana-526	357	10	′	′	NUM
cana-526	358	1	+	+	CCONJ
cana-526	358	2	𝔭22	𝔭22	NOUN
cana-526	358	3	′	′	NUM
cana-526	358	4	=	=	SYM
cana-526	358	5	1	1	NUM
cana-526	358	6	𝔮21	𝔮21	NOUN
cana-526	358	7	′	′	NOUN
cana-526	359	1	+	+	CCONJ
cana-526	359	2	𝔮22	𝔮22	NOUN
cana-526	359	3	′	′	NUM
cana-526	359	4	=	=	SYM
cana-526	359	5	1	1	NUM
cana-526	359	6	𝔯11′	𝔯11′	NOUN
cana-526	359	7	+	+	X
cana-526	359	8	𝔯12	𝔯12	ADJ
cana-526	359	9	′	′	NUM
cana-526	359	10	=	=	NOUN
cana-526	359	11	1	1	NUM
cana-526	359	12	𝔭21′′	𝔭21′′	PRON
cana-526	359	13	+	+	NOUN
cana-526	359	14	𝔭′22′	𝔭′22′	PROPN
cana-526	359	15	=	=	SYM
cana-526	359	16	1	1	NUM
cana-526	359	17	𝔯′21′	𝔯′21′	NUM
cana-526	359	18	+	+	CCONJ
cana-526	359	19	𝔯′22	𝔯′22	ADJ
cana-526	359	20	′	′	NUM
cana-526	359	21	=	=	SYM
cana-526	359	22	1	1	NUM
cana-526	359	23	𝔭11	𝔭11	NOUN
cana-526	359	24	′	′	NUM
cana-526	360	1	+	+	CCONJ
cana-526	360	2	𝔭21	𝔭21	ADJ
cana-526	360	3	′	′	NUM
cana-526	361	1	=	=	SYM
cana-526	361	2	1	1	NUM
cana-526	361	3	𝔮11′	𝔮11′	NUM
cana-526	361	4	+	+	CCONJ
cana-526	361	5	𝔮21	𝔮21	NOUN
cana-526	362	1	′	′	NOUN
cana-526	362	2	=	=	SYM
cana-526	362	3	1	1	NUM
cana-526	362	4	𝔯11′	𝔯11′	NOUN
cana-526	362	5	+	+	NUM
cana-526	362	6	𝔯21	𝔯21	NOUN
cana-526	362	7	′	′	NUM
cana-526	362	8	=	=	SYM
cana-526	362	9	1	1	NUM
cana-526	362	10	𝔭′11′	𝔭′11′	NUM
cana-526	362	11	+	+	NUM
cana-526	362	12	𝔭21	𝔭21	NUM
cana-526	362	13	′′	′′	NOUN
cana-526	362	14	=	=	NOUN
cana-526	362	15	1	1	NUM
cana-526	362	16	𝔯′11′	𝔯′11′	NUM
cana-526	362	17	+	+	NUM
cana-526	362	18	𝔯21	𝔯21	NOUN
cana-526	362	19	′′	′′	NOUN
cana-526	362	20	=	=	NOUN
cana-526	362	21	1	1	NUM
cana-526	362	22	𝔭12	𝔭12	NUM
cana-526	362	23	′	′	NUM
cana-526	363	1	+	+	CCONJ
cana-526	363	2	𝔭22	𝔭22	NOUN
cana-526	363	3	′	′	NUM
cana-526	363	4	=	=	SYM
cana-526	363	5	1	1	NUM
cana-526	363	6	𝔮12′	𝔮12′	PROPN
cana-526	363	7	+	+	CCONJ
cana-526	363	8	𝔮22	𝔮22	NOUN
cana-526	363	9	′	′	NOUN
cana-526	363	10	=	=	SYM
cana-526	363	11	1	1	NUM
cana-526	363	12	𝔯12′	𝔯12′	NOUN
cana-526	363	13	+	+	CCONJ
cana-526	363	14	𝔯22	𝔯22	NOUN
cana-526	364	1	′	′	NUM
cana-526	364	2	=	=	SYM
cana-526	364	3	1	1	NUM
cana-526	364	4	𝔭′12′	𝔭′12′	NUM
cana-526	364	5	+	+	CCONJ
cana-526	365	1	𝔭′22	𝔭′22	ADJ
cana-526	365	2	′	′	NOUN
cana-526	365	3	=	=	SYM
cana-526	365	4	1	1	NUM
cana-526	365	5	𝔯′12′	𝔯′12′	PROPN
cana-526	365	6	+	+	PROPN
cana-526	365	7	𝔯′22′	𝔯′22′	PROPN
cana-526	365	8	=	=	SYM
cana-526	365	9	1	1	NUM
cana-526	365	10	5	5	NUM
cana-526	365	11	by	by	ADP
cana-526	365	12	using	use	VERB
cana-526	365	13	software	software	NOUN
cana-526	365	14	computations	computation	NOUN
cana-526	366	1	we	we	PRON
cana-526	366	2	get	get	VERB
cana-526	366	3	the	the	DET
cana-526	366	4	following	follow	VERB
cana-526	366	5	values	value	NOUN
cana-526	366	6	𝔭11	𝔭11	NOUN
cana-526	366	7	′	′	NUM
cana-526	366	8	=	=	SYM
cana-526	366	9	0	0	NUM
cana-526	366	10	𝔮11	𝔮11	ADJ
cana-526	367	1	′	′	NOUN
cana-526	367	2	=	=	SYM
cana-526	367	3	0	0	NUM
cana-526	368	1	𝔯11	𝔯11	NOUN
cana-526	368	2	′	′	NUM
cana-526	368	3	=	=	SYM
cana-526	368	4	0	0	NUM
cana-526	368	5	𝔭11	𝔭11	NOUN
cana-526	368	6	′′	′′	NOUN
cana-526	368	7	=	=	SYM
cana-526	368	8	0	0	NUM
cana-526	369	1	𝔯′11	𝔯′11	NOUN
cana-526	369	2	′	′	NUM
cana-526	370	1	=	=	SYM
cana-526	370	2	0	0	NUM
cana-526	370	3	𝔭12	𝔭12	NUM
cana-526	370	4	′	′	NUM
cana-526	371	1	=	=	SYM
cana-526	371	2	1	1	NUM
cana-526	371	3	𝔮12	𝔮12	NOUN
cana-526	371	4	′	′	NOUN
cana-526	371	5	=	=	SYM
cana-526	371	6	1	1	NUM
cana-526	371	7	𝔯12	𝔯12	NOUN
cana-526	371	8	′	′	NUM
cana-526	372	1	=	=	SYM
cana-526	373	1	1	1	NUM
cana-526	373	2	𝔭′12	𝔭′12	NUM
cana-526	373	3	′	′	NUM
cana-526	373	4	=	=	NOUN
cana-526	373	5	1	1	NUM
cana-526	373	6	𝔯′12	𝔯′12	ADP
cana-526	373	7	′	′	NUM
cana-526	373	8	=	=	SYM
cana-526	373	9	1	1	NUM
cana-526	373	10	𝔭21	𝔭21	NOUN
cana-526	373	11	′	′	NUM
cana-526	373	12	=	=	SYM
cana-526	373	13	1	1	NUM
cana-526	373	14	𝔮21	𝔮21	NOUN
cana-526	373	15	′	′	NUM
cana-526	373	16	=	=	SYM
cana-526	373	17	1	1	NUM
cana-526	373	18	𝔯21	𝔯21	NOUN
cana-526	373	19	′	′	NUM
cana-526	373	20	=	=	SYM
cana-526	373	21	1	1	NUM
cana-526	373	22	𝔭′21	𝔭′21	NOUN
cana-526	373	23	′	′	NOUN
cana-526	373	24	=	=	SYM
cana-526	373	25	1	1	NUM
cana-526	373	26	𝔯′21	𝔯′21	NUM
cana-526	373	27	′	′	NOUN
cana-526	373	28	=	=	SYM
cana-526	373	29	1	1	NUM
cana-526	373	30	𝔭22	𝔭22	NOUN
cana-526	373	31	′	′	NUM
cana-526	373	32	=	=	SYM
cana-526	373	33	0	0	NUM
cana-526	373	34	𝔮22	𝔮22	NOUN
cana-526	373	35	′	′	NUM
cana-526	373	36	=	=	SYM
cana-526	373	37	0	0	NUM
cana-526	373	38	𝔯22	𝔯22	NOUN
cana-526	373	39	′	′	NUM
cana-526	373	40	=	=	PUNCT
cana-526	373	41	0	0	NUM
cana-526	374	1	𝔭′22	𝔭′22	ADJ
cana-526	374	2	′	′	NUM
cana-526	375	1	=	=	SYM
cana-526	375	2	0	0	PUNCT
cana-526	376	1	𝔯′22	𝔯′22	ADJ
cana-526	376	2	′	′	NUM
cana-526	376	3	=	=	SYM
cana-526	376	4	0	0	NUM
cana-526	376	5	6	6	NUM
cana-526	376	6	putting	put	VERB
cana-526	376	7	the	the	DET
cana-526	376	8	above	above	ADJ
cana-526	376	9	values	value	NOUN
cana-526	376	10	in	in	ADP
cana-526	376	11	(	(	PUNCT
cana-526	376	12	i	i	NOUN
cana-526	376	13	)	)	PUNCT
cana-526	376	14	we	we	PRON
cana-526	376	15	get	get	AUX
cana-526	376	16	𝒳~	𝒳~	VERB
cana-526	376	17	11=	11=	NUM
cana-526	376	18	{	{	PUNCT
cana-526	376	19	(	(	PUNCT
cana-526	376	20	0,0,0)(0,0,0	0,0,0)(0,0,0	NOUN
cana-526	376	21	)	)	PUNCT
cana-526	376	22	}	}	PUNCT
cana-526	376	23	,	,	PUNCT
cana-526	376	24	𝒳~	𝒳~	VERB
cana-526	376	25	12	12	NUM
cana-526	376	26	=	=	SYM
cana-526	376	27	{	{	PUNCT
cana-526	376	28	(	(	PUNCT
cana-526	376	29	1,1,1)(1,1,1	1,1,1)(1,1,1	NUM
cana-526	376	30	)	)	PUNCT
cana-526	376	31	}	}	PUNCT
cana-526	376	32	,	,	PUNCT
cana-526	376	33	𝒳~	𝒳~	VERB
cana-526	376	34	21	21	NUM
cana-526	376	35	=	=	SYM
cana-526	376	36	{	{	PUNCT
cana-526	376	37	(	(	PUNCT
cana-526	376	38	1,1,1)(1,1,1	1,1,1)(1,1,1	NUM
cana-526	376	39	)	)	PUNCT
cana-526	376	40	}	}	PUNCT
cana-526	376	41	,	,	PUNCT
cana-526	376	42	𝒳~	𝒳~	VERB
cana-526	376	43	22	22	NUM
cana-526	376	44	=	=	SYM
cana-526	376	45	{	{	PUNCT
cana-526	376	46	(	(	PUNCT
cana-526	376	47	0,0,0)(0,0,0	0,0,0)(0,0,0	NOUN
cana-526	376	48	)	)	PUNCT
cana-526	376	49	}	}	PUNCT
cana-526	376	50	→	→	SYM
cana-526	376	51	(	(	PUNCT
cana-526	376	52	𝐼𝐼	𝐼𝐼	PROPN
cana-526	376	53	)	)	PUNCT
cana-526	376	54	7	7	NUM
cana-526	376	55	substitute	substitute	NOUN
cana-526	376	56	(	(	PUNCT
cana-526	376	57	𝐼	𝐼	PROPN
cana-526	376	58	)	)	PUNCT
cana-526	376	59	into	into	ADP
cana-526	376	60	the	the	DET
cana-526	376	61	objective	objective	ADJ
cana-526	376	62	function	function	NOUN
cana-526	376	63	,	,	PUNCT
cana-526	376	64	we	we	PRON
cana-526	376	65	get	get	VERB
cana-526	376	66	the	the	DET
cana-526	376	67	optimum	optimum	ADJ
cana-526	376	68	solution	solution	NOUN
cana-526	376	69	of	of	ADP
cana-526	376	70	the	the	DET
cana-526	376	71	pythagorean	pythagorean	PROPN
cana-526	376	72	fuzzy	fuzzy	ADJ
cana-526	376	73	assignment	assignment	NOUN
cana-526	376	74	problem	problem	NOUN
cana-526	376	75	is	be	AUX
cana-526	376	76	{	{	PUNCT
cana-526	376	77	(	(	PUNCT
cana-526	376	78	2,3,5);(1,3,7	2,3,5);(1,3,7	NUM
cana-526	376	79	)	)	PUNCT
cana-526	376	80	}	}	PUNCT
cana-526	376	81	and	and	CCONJ
cana-526	376	82	the	the	DET
cana-526	376	83	job	job	NOUN
cana-526	376	84	allocations	allocation	NOUN
cana-526	376	85	are	be	AUX
cana-526	376	86	,	,	PUNCT
cana-526	376	87	𝒲1	𝒲1	ADJ
cana-526	376	88	→	→	SYM
cana-526	376	89	𝒫2	𝒫2	NOUN
cana-526	376	90	,	,	PUNCT
cana-526	376	91	𝒲2	𝒲2	PROPN
cana-526	376	92	→	→	PUNCT
cana-526	376	93	𝑁𝑜	𝑁𝑜	NOUN
cana-526	376	94	𝑗𝑜𝑏	𝑗𝑜𝑏	NOUN
cana-526	376	95	5	5	NUM
cana-526	376	96	conclusion	conclusion	NOUN
cana-526	376	97	in	in	ADP
cana-526	376	98	an	an	DET
cana-526	376	99	intuitionistic	intuitionistic	ADJ
cana-526	376	100	fuzzy	fuzzy	ADJ
cana-526	376	101	sets	set	NOUN
cana-526	376	102	some	some	PRON
cana-526	376	103	of	of	ADP
cana-526	376	104	the	the	DET
cana-526	376	105	conditions	condition	NOUN
cana-526	376	106	are	be	AUX
cana-526	376	107	give	give	VERB
cana-526	376	108	up	up	ADP
cana-526	376	109	,	,	PUNCT
cana-526	376	110	it	it	PRON
cana-526	376	111	will	will	AUX
cana-526	376	112	form	form	VERB
cana-526	376	113	pythagorean	pythagorean	VERB
cana-526	376	114	fuzzy	fuzzy	ADJ
cana-526	376	115	sets	set	NOUN
cana-526	376	116	.	.	PUNCT
cana-526	377	1	it	it	PRON
cana-526	377	2	will	will	AUX
cana-526	377	3	cover	cover	VERB
cana-526	377	4	more	more	ADJ
cana-526	377	5	areas	area	NOUN
cana-526	377	6	comparing	compare	VERB
cana-526	377	7	with	with	ADP
cana-526	377	8	intuitionistic	intuitionistic	ADJ
cana-526	377	9	fuzzy	fuzzy	ADJ
cana-526	377	10	sets	set	NOUN
cana-526	377	11	.	.	PUNCT
cana-526	378	1	hence	hence	ADV
cana-526	378	2	it	it	PRON
cana-526	378	3	gives	give	VERB
cana-526	378	4	an	an	DET
cana-526	378	5	extra	extra	ADJ
cana-526	378	6	opportunity	opportunity	NOUN
cana-526	378	7	to	to	ADP
cana-526	378	8	improving	improve	VERB
cana-526	378	9	the	the	DET
cana-526	378	10	knowledge	knowledge	NOUN
cana-526	378	11	,	,	PUNCT
cana-526	378	12	creating	create	VERB
cana-526	378	13	it	it	PRON
cana-526	378	14	feasible	feasible	ADJ
cana-526	378	15	to	to	PART
cana-526	378	16	narrate	narrate	VERB
cana-526	378	17	numerous	numerous	ADJ
cana-526	378	18	actual	actual	ADJ
cana-526	378	19	complication	complication	NOUN
cana-526	378	20	in	in	ADP
cana-526	378	21	a	a	DET
cana-526	378	22	extra	extra	ADJ
cana-526	378	23	fabulous	fabulous	ADJ
cana-526	378	24	path	path	NOUN
cana-526	378	25	.	.	PUNCT
cana-526	379	1	we	we	PRON
cana-526	379	2	have	have	AUX
cana-526	379	3	solved	solve	VERB
cana-526	379	4	pythagorean	pythagorean	PROPN
cana-526	379	5	fuzzy	fuzzy	ADJ
cana-526	379	6	task	task	PROPN
cana-526	379	7	problem	problem	NOUN
cana-526	379	8	primarily	primarily	ADV
cana-526	379	9	based	base	VERB
cana-526	379	10	on	on	ADP
cana-526	379	11	triangular	triangular	NOUN
cana-526	379	12	pythagorean	pythagorean	ADJ
cana-526	379	13	fuzzy	fuzzy	ADJ
cana-526	379	14	numbers	number	NOUN
cana-526	379	15	.	.	PUNCT
cana-526	380	1	we	we	PRON
cana-526	380	2	have	have	AUX
cana-526	380	3	introduced	introduce	VERB
cana-526	380	4	some	some	DET
cana-526	380	5	functions	function	NOUN
cana-526	380	6	of	of	ADP
cana-526	380	7	the	the	DET
cana-526	380	8	proposed	propose	VERB
cana-526	380	9	approach	approach	NOUN
cana-526	380	10	to	to	ADP
cana-526	380	11	actual	actual	ADJ
cana-526	380	12	world	world	NOUN
cana-526	380	13	problem	problem	NOUN
cana-526	380	14	.	.	PUNCT
cana-526	381	1	the	the	DET
cana-526	381	2	benefits	benefit	NOUN
cana-526	381	3	of	of	ADP
cana-526	381	4	the	the	DET
cana-526	381	5	current	current	ADJ
cana-526	381	6	find	find	VERB
cana-526	381	7	out	out	ADP
cana-526	381	8	about	about	ADP
cana-526	381	9	are	be	AUX
cana-526	381	10	,	,	PUNCT
cana-526	381	11	(	(	PUNCT
cana-526	381	12	i	i	NOUN
cana-526	381	13	)	)	PUNCT
cana-526	382	1	it	it	PRON
cana-526	382	2	is	be	AUX
cana-526	382	3	very	very	ADV
cana-526	382	4	effortless	effortless	ADJ
cana-526	382	5	to	to	PART
cana-526	382	6	practice	practice	VERB
cana-526	382	7	in	in	ADP
cana-526	382	8	selection	selection	NOUN
cana-526	382	9	making	making	NOUN
cana-526	382	10	and	and	CCONJ
cana-526	382	11	(	(	PUNCT
cana-526	382	12	ii	ii	NOUN
cana-526	382	13	)	)	PUNCT
cana-526	382	14	it	it	PRON
cana-526	382	15	solves	solve	VERB
cana-526	382	16	the	the	DET
cana-526	382	17	problem	problem	NOUN
cana-526	382	18	of	of	ADP
cana-526	382	19	the	the	DET
cana-526	382	20	task	task	NOUN
cana-526	382	21	when	when	SCONJ
cana-526	382	22	all	all	PRON
cana-526	382	23	of	of	ADP
cana-526	382	24	the	the	DET
cana-526	382	25	variables	variable	NOUN
cana-526	382	26	and	and	CCONJ
cana-526	382	27	parameters	parameter	NOUN
cana-526	382	28	are	be	AUX
cana-526	382	29	positive	positive	ADJ
cana-526	382	30	non	non	ADJ
cana-526	382	31	-	-	ADJ
cana-526	382	32	negative	negative	ADJ
cana-526	382	33	triangular	triangular	NOUN
cana-526	382	34	pythagorean	pythagorean	NOUN
cana-526	382	35	integers	integer	NOUN
cana-526	382	36	.	.	PUNCT
cana-526	383	1	(	(	PUNCT
cana-526	383	2	iii	iii	X
cana-526	383	3	)	)	PUNCT
cana-526	383	4	consider	consider	VERB
cana-526	383	5	giant	giant	ADJ
cana-526	383	6	quantity	quantity	NOUN
cana-526	383	7	of	of	ADP
cana-526	383	8	data	datum	NOUN
cana-526	383	9	’s	’s	PART
cana-526	383	10	arise	arise	NOUN
cana-526	383	11	,	,	PUNCT
cana-526	383	12	we	we	PRON
cana-526	383	13	can	can	AUX
cana-526	383	14	without	without	ADP
cana-526	383	15	difficulty	difficulty	NOUN
cana-526	383	16	calculate	calculate	VERB
cana-526	383	17	the	the	DET
cana-526	383	18	most	most	ADV
cana-526	383	19	fulfilling	fulfil	VERB
cana-526	383	20	cost	cost	NOUN
cana-526	383	21	by	by	ADP
cana-526	383	22	using	use	VERB
cana-526	383	23	this	this	DET
cana-526	383	24	software	software	NOUN
cana-526	383	25	.	.	PUNCT
cana-526	384	1	in	in	ADP
cana-526	384	2	future	future	NOUN
cana-526	384	3	we	we	PRON
cana-526	384	4	are	be	AUX
cana-526	384	5	designing	design	VERB
cana-526	384	6	to	to	PART
cana-526	384	7	prolong	prolong	VERB
cana-526	384	8	our	our	PRON
cana-526	384	9	exertion	exertion	NOUN
cana-526	384	10	to	to	ADP
cana-526	384	11	(	(	PUNCT
cana-526	384	12	i	i	NOUN
cana-526	384	13	)	)	PUNCT
cana-526	384	14	interval	interval	NOUN
cana-526	384	15	pythagorean	pythagorean	PROPN
cana-526	384	16	fuzzy	fuzzy	ADJ
cana-526	384	17	assignment	assignment	NOUN
cana-526	384	18	problem	problem	NOUN
cana-526	384	19	(	(	PUNCT
cana-526	384	20	ii	ii	NOUN
cana-526	384	21	)	)	PUNCT
cana-526	384	22	fractional	fractional	ADJ
cana-526	384	23	pythagoean	pythagoean	ADJ
cana-526	384	24	fuzzy	fuzzy	ADJ
cana-526	384	25	assignment	assignment	NOUN
cana-526	384	26	problem	problem	NOUN
cana-526	384	27	.	.	PUNCT
cana-526	385	1	references	reference	NOUN
cana-526	385	2	[	[	X
cana-526	385	3	1	1	NUM
cana-526	385	4	]	]	PUNCT
cana-526	385	5	angelov	angelov	NOUN
cana-526	385	6	.	.	PUNCT
cana-526	386	1	pp	pp	ADV
cana-526	386	2	,	,	PUNCT
cana-526	386	3	optimization	optimization	NOUN
cana-526	386	4	in	in	ADP
cana-526	386	5	an	an	DET
cana-526	386	6	intuitionistic	intuitionistic	ADJ
cana-526	386	7	fuzzy	fuzzy	ADJ
cana-526	386	8	environment	environment	NOUN
cana-526	386	9	.	.	PUNCT
cana-526	387	1	fuzzy	fuzzy	ADJ
cana-526	387	2	sets	set	NOUN
cana-526	387	3	and	and	CCONJ
cana-526	387	4	systems	system	NOUN
cana-526	387	5	.	.	PUNCT
cana-526	388	1	(	(	PUNCT
cana-526	388	2	86	86	NUM
cana-526	388	3	)	)	PUNCT
cana-526	388	4	(	(	PUNCT
cana-526	388	5	1997	1997	NUM
cana-526	388	6	)	)	PUNCT
cana-526	388	7	299	299	NUM
cana-526	388	8	306	306	NUM
cana-526	388	9	.	.	PUNCT
cana-526	389	1	[	[	X
cana-526	389	2	2	2	NUM
cana-526	389	3	]	]	PUNCT
cana-526	389	4	atanassav	atanassav	NOUN
cana-526	389	5	.	.	PUNCT
cana-526	390	1	k	k	X
cana-526	390	2	,	,	PUNCT
cana-526	390	3	intuitionistic	intuitionistic	ADJ
cana-526	390	4	fuzzy	fuzzy	ADJ
cana-526	390	5	sets	set	NOUN
cana-526	390	6	.fuzzy	.fuzzy	NUM
cana-526	390	7	sets	set	NOUN
cana-526	390	8	and	and	CCONJ
cana-526	390	9	systems	system	NOUN
cana-526	390	10	.	.	PUNCT
cana-526	391	1	20(1	20(1	NUM
cana-526	391	2	)	)	PUNCT
cana-526	391	3	(	(	PUNCT
cana-526	391	4	1986	1986	NUM
cana-526	391	5	)	)	PUNCT
cana-526	391	6	87	87	NUM
cana-526	391	7	96	96	NUM
cana-526	391	8	.	.	PUNCT
cana-526	392	1	[	[	X
cana-526	392	2	3	3	NUM
cana-526	392	3	]	]	SYM
cana-526	392	4	atanassav	atanassav	NOUN
cana-526	392	5	.	.	PUNCT
cana-526	393	1	k	k	X
cana-526	393	2	,	,	PUNCT
cana-526	393	3	more	more	ADJ
cana-526	393	4	on	on	ADP
cana-526	393	5	intuitionistic	intuitionistic	ADJ
cana-526	393	6	fuzzy	fuzzy	ADJ
cana-526	393	7	sets	set	NOUN
cana-526	393	8	.	.	PUNCT
cana-526	394	1	fuzzy	fuzzy	ADJ
cana-526	394	2	sets	set	NOUN
cana-526	394	3	and	and	CCONJ
cana-526	394	4	systems.(33)(1989	systems.(33)(1989	NOUN
cana-526	394	5	)	)	PUNCT
cana-526	394	6	3746	3746	NUM
cana-526	394	7	.	.	PUNCT
cana-526	395	1	[	[	X
cana-526	395	2	4	4	NUM
cana-526	395	3	]	]	SYM
cana-526	395	4	atanassav	atanassav	NOUN
cana-526	395	5	.	.	PUNCT
cana-526	396	1	k	k	X
cana-526	396	2	,	,	PUNCT
cana-526	396	3	intuitionistic	intuitionistic	ADJ
cana-526	396	4	fuzzy	fuzzy	ADJ
cana-526	396	5	sets	set	NOUN
cana-526	396	6	.	.	PUNCT
cana-526	397	1	physica	physica	PROPN
cana-526	397	2	verlag	verlag	PROPN
cana-526	397	3	,	,	PUNCT
cana-526	397	4	heidelberg	heidelberg	PROPN
cana-526	397	5	,	,	PUNCT
cana-526	397	6	newyork	newyork	PROPN
cana-526	397	7	(	(	PUNCT
cana-526	397	8	1999	1999	NUM
cana-526	397	9	)	)	PUNCT
cana-526	397	10	.	.	PUNCT
cana-526	398	1	[	[	X
cana-526	398	2	5	5	NUM
cana-526	398	3	]	]	SYM
cana-526	398	4	kuhn	kuhn	PROPN
cana-526	398	5	.	.	PUNCT
cana-526	398	6	h.w	h.w	PROPN
cana-526	398	7	,	,	PUNCT
cana-526	398	8	the	the	DET
cana-526	398	9	hungarian	hungarian	ADJ
cana-526	398	10	method	method	NOUN
cana-526	398	11	for	for	ADP
cana-526	398	12	the	the	DET
cana-526	398	13	assignment	assignment	NOUN
cana-526	398	14	problem	problem	NOUN
cana-526	398	15	.	.	PUNCT
cana-526	399	1	naval	naval	ADJ
cana-526	399	2	re.logistics	re.logistic	NOUN
cana-526	399	3	quarterly.(1955	quarterly.(1955	NOUN
cana-526	399	4	)	)	PUNCT
cana-526	399	5	83	83	NUM
cana-526	399	6	97	97	NUM
cana-526	399	7	.	.	PUNCT
cana-526	400	1	communications	communication	NOUN
cana-526	400	2	on	on	ADP
cana-526	400	3	applied	apply	VERB
cana-526	400	4	nonlinear	nonlinear	ADJ
cana-526	400	5	analysis	analysis	NOUN
cana-526	400	6	issn	issn	NOUN
cana-526	400	7	:	:	PUNCT
cana-526	400	8	1074	1074	NUM
cana-526	400	9	-	-	PUNCT
cana-526	400	10	133x	133x	NUM
cana-526	400	11	vol	vol	NOUN
cana-526	400	12	31	31	NUM
cana-526	400	13	no	no	NOUN
cana-526	400	14	.	.	NOUN
cana-526	400	15	2	2	NUM
cana-526	400	16	(	(	PUNCT
cana-526	400	17	2024	2024	NUM
cana-526	400	18	)	)	PUNCT
cana-526	400	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	400	20	154	154	NUM
cana-526	400	21	[	[	X
cana-526	400	22	6	6	NUM
cana-526	400	23	]	]	PUNCT
cana-526	400	24	kumar	kumar	PROPN
cana-526	400	25	.	.	PUNCT
cana-526	401	1	r	r	PROPN
cana-526	401	2	,	,	PUNCT
cana-526	401	3	edalatpanah	edalatpanah	PROPN
cana-526	401	4	.	.	PUNCT
cana-526	402	1	s.a	s.a	PROPN
cana-526	402	2	etal	etal	PROPN
cana-526	402	3	.	.	PUNCT
cana-526	402	4	,	,	PUNCT
cana-526	402	5	a	a	DET
cana-526	402	6	pythagorean	pythagorean	ADJ
cana-526	402	7	fuzzy	fuzzy	ADJ
cana-526	402	8	approach	approach	NOUN
cana-526	402	9	to	to	ADP
cana-526	402	10	the	the	DET
cana-526	402	11	transportation	transportation	NOUN
cana-526	402	12	problem	problem	NOUN
cana-526	402	13	.	.	PUNCT
cana-526	403	1	complex	complex	ADJ
cana-526	403	2	and	and	CCONJ
cana-526	403	3	intelligent	intelligent	ADJ
cana-526	403	4	systems.(2019),255	systems.(2019),255	NOUN
cana-526	403	5	–	–	PUNCT
cana-526	403	6	263	263	NUM
cana-526	403	7	.	.	PUNCT
cana-526	404	1	[	[	X
cana-526	404	2	7	7	NUM
cana-526	404	3	]	]	PUNCT
cana-526	404	4	laxminarayan	laxminarayan	PROPN
cana-526	404	5	sahoo	sahoo	PROPN
cana-526	404	6	(	(	PUNCT
cana-526	404	7	2021	2021	NUM
cana-526	404	8	)	)	PUNCT
cana-526	404	9	,	,	PUNCT
cana-526	404	10	a	a	DET
cana-526	404	11	new	new	ADJ
cana-526	404	12	score	score	NOUN
cana-526	404	13	function	function	NOUN
cana-526	404	14	based	base	VERB
cana-526	404	15	fermatean	fermatean	PROPN
cana-526	404	16	fuzzy	fuzzy	ADJ
cana-526	404	17	transportation	transportation	NOUN
cana-526	404	18	problem	problem	NOUN
cana-526	404	19	,	,	PUNCT
cana-526	404	20	results	result	NOUN
cana-526	404	21	in	in	ADP
cana-526	404	22	control	control	NOUN
cana-526	404	23	and	and	CCONJ
cana-526	404	24	optimization	optimization	NOUN
cana-526	404	25	,	,	PUNCT
cana-526	404	26	vol	vol	NOUN
cana-526	404	27	4	4	NUM
cana-526	404	28	,	,	PUNCT
cana-526	404	29	https://doi.org/10.1016/j.rico.2021.100040	https://doi.org/10.1016/j.rico.2021.100040	ADJ
cana-526	404	30	[	[	X
cana-526	404	31	8	8	NUM
cana-526	404	32	]	]	X
cana-526	404	33	luqman	luqman	PROPN
cana-526	404	34	a	a	X
cana-526	404	35	,	,	PUNCT
cana-526	404	36	akram	akram	PROPN
cana-526	404	37	.m	.m	PROPN
cana-526	404	38	,	,	PUNCT
cana-526	404	39	alcantud	alcantud	PROPN
cana-526	404	40	jcr	jcr	PROPN
cana-526	404	41	(	(	PUNCT
cana-526	404	42	2020	2020	NUM
cana-526	404	43	)	)	PUNCT
cana-526	404	44	digraph	digraph	NOUN
cana-526	404	45	and	and	CCONJ
cana-526	404	46	matrix	matrix	NOUN
cana-526	404	47	approach	approach	NOUN
cana-526	404	48	for	for	ADP
cana-526	404	49	risk	risk	NOUN
cana-526	404	50	evaluations	evaluation	NOUN
cana-526	404	51	under	under	ADP
cana-526	404	52	pythagorean	pythagorean	PROPN
cana-526	404	53	fuzzy	fuzzy	ADJ
cana-526	404	54	information	information	NOUN
cana-526	404	55	.	.	PUNCT
cana-526	405	1	expert	expert	NOUN
cana-526	405	2	syst	syst	PROPN
cana-526	405	3	.	.	PUNCT
cana-526	406	1	appl	appl	PROPN
cana-526	406	2	170	170	NUM
cana-526	406	3	:	:	SYM
cana-526	406	4	114518	114518	NUM
cana-526	406	5	.	.	PUNCT
cana-526	407	1	[	[	X
cana-526	407	2	9	9	NUM
cana-526	407	3	]	]	X
cana-526	407	4	mahapatra	mahapatra	PROPN
cana-526	407	5	g.s	g.s	PROPN
cana-526	407	6	,	,	PUNCT
cana-526	407	7	roy	roy	PROPN
cana-526	407	8	tk	tk	PROPN
cana-526	407	9	(	(	PUNCT
cana-526	407	10	2009	2009	NUM
cana-526	407	11	)	)	PUNCT
cana-526	407	12	reliability	reliability	NOUN
cana-526	407	13	evaluation	evaluation	NOUN
cana-526	407	14	using	use	VERB
cana-526	407	15	triangular	triangular	NOUN
cana-526	407	16	intuitionistic	intuitionistic	ADJ
cana-526	407	17	fuzzy	fuzzy	ADJ
cana-526	407	18	numbers	number	NOUN
cana-526	407	19	arithmetic	arithmetic	ADJ
cana-526	407	20	operations	operation	NOUN
cana-526	407	21	.	.	PUNCT
cana-526	408	1	world	world	NOUN
cana-526	408	2	acad	acad	PROPN
cana-526	408	3	sci	sci	PROPN
cana-526	408	4	eng	eng	PROPN
cana-526	408	5	technol	technol	PROPN
cana-526	408	6	50	50	NUM
cana-526	408	7	:	:	PUNCT
cana-526	408	8	574	574	NUM
cana-526	408	9	-581	-581	NOUN
cana-526	408	10	.	.	PUNCT
cana-526	409	1	[	[	X
cana-526	409	2	10	10	NUM
cana-526	409	3	]	]	X
cana-526	409	4	muhammad	muhammad	PROPN
cana-526	409	5	akram	akram	PROPN
cana-526	409	6	,	,	PUNCT
cana-526	409	7	inayat	inayat	PROPN
cana-526	409	8	ullah	ullah	PROPN
cana-526	409	9	et	et	PROPN
cana-526	409	10	al	al	PROPN
cana-526	409	11	(	(	PUNCT
cana-526	409	12	2021	2021	NUM
cana-526	409	13	)	)	PUNCT
cana-526	409	14	fully	fully	ADV
cana-526	409	15	pythagorean	pythagorean	VERB
cana-526	409	16	fuzzy	fuzzy	ADJ
cana-526	409	17	linear	linear	ADJ
cana-526	409	18	programming	programming	NOUN
cana-526	409	19	problems	problem	NOUN
cana-526	409	20	with	with	ADP
cana-526	409	21	equality	equality	NOUN
cana-526	409	22	constraints	constraint	NOUN
cana-526	409	23	.	.	PUNCT
cana-526	410	1	computational	computational	ADJ
cana-526	410	2	and	and	CCONJ
cana-526	410	3	applied	applied	ADJ
cana-526	410	4	mathematics	mathematic	NOUN
cana-526	410	5	40	40	NUM
cana-526	410	6	:	:	SYM
cana-526	410	7	120	120	NUM
cana-526	410	8	.	.	PUNCT
cana-526	411	1	https://doi.org/10.1007/s40314021-01503-9	https://doi.org/10.1007/s40314021-01503-9	NOUN
cana-526	411	2	.	.	PUNCT
cana-526	412	1	[	[	X
cana-526	412	2	11	11	NUM
cana-526	412	3	]	]	SYM
cana-526	412	4	nagoorgani	nagoorgani	PROPN
cana-526	412	5	a	a	NOUN
cana-526	412	6	,	,	PUNCT
cana-526	412	7	ponnalagu	ponnalagu	PROPN
cana-526	412	8	k	k	PROPN
cana-526	412	9	(	(	PUNCT
cana-526	412	10	2012	2012	NUM
cana-526	412	11	)	)	PUNCT
cana-526	412	12	a	a	DET
cana-526	412	13	new	new	ADJ
cana-526	412	14	approach	approach	NOUN
cana-526	412	15	on	on	ADP
cana-526	412	16	solving	solve	VERB
cana-526	412	17	intuitionistic	intuitionistic	ADJ
cana-526	412	18	fuzzy	fuzzy	ADJ
cana-526	412	19	linear	linear	ADJ
cana-526	412	20	programming	programming	NOUN
cana-526	412	21	problem	problem	NOUN
cana-526	412	22	.	.	PUNCT
cana-526	413	1	appl	appl	PROPN
cana-526	413	2	math	math	PROPN
cana-526	413	3	sci	sci	PROPN
cana-526	413	4	6(70	6(70	PROPN
cana-526	413	5	)	)	PUNCT
cana-526	413	6	:	:	PUNCT
cana-526	413	7	3467	3467	NUM
cana-526	413	8	–	–	PUNCT
cana-526	413	9	3474	3474	NUM
cana-526	413	10	..	..	PUNCT
cana-526	414	1	[	[	X
cana-526	414	2	12	12	NUM
cana-526	414	3	]	]	PUNCT
cana-526	414	4	nagoor	nagoor	PROPN
cana-526	414	5	gani	gani	PROPN
cana-526	414	6	and	and	CCONJ
cana-526	414	7	v.n	v.n	PROPN
cana-526	414	8	.	.	PROPN
cana-526	414	9	mohamed	mohamed	PROPN
cana-526	414	10	mohamed	mohamed	PROPN
cana-526	414	11	(	(	PUNCT
cana-526	414	12	2019	2019	NUM
cana-526	414	13	)	)	PUNCT
cana-526	414	14	the	the	DET
cana-526	414	15	signature	signature	NOUN
cana-526	414	16	method	method	NOUN
cana-526	414	17	for	for	ADP
cana-526	414	18	solving	solve	VERB
cana-526	414	19	intuitionistic	intuitionistic	ADJ
cana-526	414	20	fuzzy	fuzzy	ADJ
cana-526	414	21	assignment	assignment	NOUN
cana-526	414	22	prroblems	prroblem	NOUN
cana-526	414	23	.	.	PUNCT
cana-526	415	1	journal	journal	PROPN
cana-526	415	2	of	of	ADP
cana-526	415	3	physical	physical	ADJ
cana-526	415	4	sciences	science	NOUN
cana-526	415	5	,	,	PUNCT
cana-526	415	6	vol	vol	NOUN
cana-526	415	7	24	24	NUM
cana-526	415	8	,	,	PUNCT
cana-526	415	9	2019,21	2019,21	NUM
cana-526	415	10	–	–	PUNCT
cana-526	415	11	30	30	NUM
cana-526	415	12	.	.	PUNCT
cana-526	416	1	issn	issn	PROPN
cana-526	416	2	:	:	PUNCT
cana-526	416	3	2350	2350	NUM
cana-526	416	4	-0352	-0352	NOUN
cana-526	416	5	.	.	PUNCT
cana-526	417	1	[	[	X
cana-526	417	2	13	13	NUM
cana-526	417	3	]	]	PUNCT
cana-526	417	4	priyanka	priyanka	NOUN
cana-526	417	5	nagar	nagar	PROPN
cana-526	417	6	,	,	PUNCT
cana-526	417	7	pankaj	pankaj	PROPN
cana-526	417	8	kumar	kumar	PROPN
cana-526	417	9	srivasta	srivasta	PROPN
cana-526	417	10	et	et	PROPN
cana-526	417	11	al	al	PROPN
cana-526	417	12	(	(	PUNCT
cana-526	417	13	2021	2021	NUM
cana-526	417	14	)	)	PUNCT
cana-526	417	15	optimization	optimization	NOUN
cana-526	417	16	of	of	ADP
cana-526	417	17	fuzzy	fuzzy	ADJ
cana-526	417	18	species	specie	NOUN
cana-526	417	19	pythagorean	pythagorean	PROPN
cana-526	417	20	transportation	transportation	NOUN
cana-526	417	21	problem	problem	NOUN
cana-526	417	22	under	under	ADP
cana-526	417	23	preserved	preserve	VERB
cana-526	417	24	uncertainties	uncertainty	NOUN
cana-526	417	25	.	.	PUNCT
cana-526	418	1	int	int	NOUN
cana-526	418	2	.	.	PUNCT
cana-526	419	1	j.	j.	PROPN
cana-526	419	2	of	of	ADP
cana-526	419	3	mathematical	mathematical	PROPN
cana-526	419	4	,	,	PUNCT
cana-526	419	5	engineering	engineering	NOUN
cana-526	419	6	and	and	CCONJ
cana-526	419	7	management	management	NOUN
cana-526	419	8	sciences	science	NOUN
cana-526	419	9	6	6	NUM
cana-526	419	10	(	(	PUNCT
cana-526	419	11	6	6	NUM
cana-526	419	12	)	)	PUNCT
cana-526	419	13	:	:	PUNCT
cana-526	419	14	1629	1629	NUM
cana-526	419	15	–	–	PUNCT
cana-526	419	16	1645	1645	NUM
cana-526	419	17	.	.	PUNCT
cana-526	420	1	[	[	X
cana-526	420	2	14	14	NUM
cana-526	420	3	]	]	X
cana-526	420	4	doi	doi	NOUN
cana-526	420	5	:	:	PUNCT
cana-526	420	6	10.33889	10.33889	NUM
cana-526	420	7	/	/	SYM
cana-526	420	8	ijmems.2021.6.6.097	ijmems.2021.6.6.097	NOUN
cana-526	420	9	.	.	PUNCT
cana-526	421	1	[	[	X
cana-526	421	2	15	15	NUM
cana-526	421	3	]	]	X
cana-526	421	4	ronald	ronald	PROPN
cana-526	421	5	r.	r.	PROPN
cana-526	421	6	yager	yager	PROPN
cana-526	421	7	(	(	PUNCT
cana-526	421	8	2016	2016	NUM
cana-526	421	9	)	)	PUNCT
cana-526	421	10	properties	property	NOUN
cana-526	421	11	and	and	CCONJ
cana-526	421	12	applications	application	NOUN
cana-526	421	13	of	of	ADP
cana-526	421	14	pythagorean	pythagorean	ADJ
cana-526	421	15	fuzzy	fuzzy	ADJ
cana-526	421	16	sets	set	NOUN
cana-526	421	17	.	.	PUNCT
cana-526	422	1	springer	springer	NOUN
cana-526	422	2	international	international	ADJ
cana-526	422	3	publishing	publishing	PROPN
cana-526	422	4	,	,	PUNCT
cana-526	422	5	switzerland	switzerland	PROPN
cana-526	422	6	.	.	PUNCT
cana-526	423	1	doi	doi	PROPN
cana-526	423	2	10.1007/978	10.1007/978	PROPN
cana-526	423	3	-	-	SYM
cana-526	423	4	3	3	NUM
cana-526	423	5	-	-	NUM
cana-526	423	6	319	319	NUM
cana-526	423	7	-	-	PUNCT
cana-526	423	8	26302	26302	NUM
cana-526	423	9	-	-	SYM
cana-526	423	10	1_9	1_9	NUM
cana-526	424	1	[	[	X
cana-526	424	2	16	16	NUM
cana-526	424	3	]	]	X
cana-526	424	4	ting	ting	PROPN
cana-526	424	5	–	–	PUNCT
cana-526	424	6	yu	yu	PROPN
cana-526	424	7	chen	chen	PROPN
cana-526	424	8	(	(	PUNCT
cana-526	424	9	2018	2018	NUM
cana-526	424	10	)	)	PUNCT
cana-526	424	11	,	,	PUNCT
cana-526	424	12	an	an	DET
cana-526	424	13	interval	interval	NOUN
cana-526	424	14	–	–	PUNCT
cana-526	424	15	valued	value	VERB
cana-526	424	16	pythagorean	pythagorean	PROPN
cana-526	424	17	fuzzy	fuzzy	ADJ
cana-526	424	18	outranking	outrank	VERB
cana-526	424	19	method	method	NOUN
cana-526	424	20	with	with	ADP
cana-526	424	21	a	a	DET
cana-526	424	22	closeness	closeness	NOUN
cana-526	424	23	–	–	PUNCT
cana-526	424	24	based	base	VERB
cana-526	424	25	assignment	assignment	NOUN
cana-526	424	26	model	model	NOUN
cana-526	424	27	for	for	ADP
cana-526	424	28	multiple	multiple	ADJ
cana-526	424	29	criteria	criterion	NOUN
cana-526	424	30	decision	decision	NOUN
cana-526	424	31	making	making	NOUN
cana-526	424	32	,	,	PUNCT
cana-526	424	33	international	international	ADJ
cana-526	424	34	journal	journal	NOUN
cana-526	424	35	of	of	ADP
cana-526	424	36	intelligent	intelligent	ADJ
cana-526	424	37	systems	system	NOUN
cana-526	424	38	,	,	PUNCT
cana-526	424	39	volume	volume	NOUN
cana-526	424	40	33	33	NUM
cana-526	424	41	,	,	PUNCT
cana-526	424	42	issue	issue	NOUN
cana-526	424	43	1	1	NUM
cana-526	424	44	,	,	PUNCT
cana-526	424	45	126	126	NUM
cana-526	424	46	–	–	PUNCT
cana-526	424	47	168	168	NUM
cana-526	424	48	.	.	PUNCT
cana-526	425	1	[	[	X
cana-526	425	2	17	17	NUM
cana-526	425	3	]	]	X
cana-526	425	4	https://doi.org/10.1002/int.21943	https://doi.org/10.1002/int.21943	PROPN
cana-526	425	5	[	[	X
cana-526	425	6	18	18	NUM
cana-526	425	7	]	]	X
cana-526	425	8	yager	yager	PROPN
cana-526	425	9	r.r	r.r	PROPN
cana-526	425	10	,	,	PUNCT
cana-526	425	11	pythagorean	pythagorean	PROPN
cana-526	425	12	fuzzy	fuzzy	ADJ
cana-526	425	13	subsets	subset	NOUN
cana-526	425	14	.	.	PUNCT
cana-526	426	1	in	in	ADP
cana-526	426	2	:	:	PUNCT
cana-526	426	3	2013joint	2013joint	NUM
cana-526	426	4	ifsa	ifsa	PROPN
cana-526	426	5	world	world	PROPN
cana-526	426	6	congress	congress	PROPN
cana-526	426	7	and	and	CCONJ
cana-526	426	8	nafips	nafip	NOUN
cana-526	426	9	annual	annual	ADJ
cana-526	426	10	meeting	meeting	NOUN
cana-526	426	11	(	(	PUNCT
cana-526	426	12	ifsa	ifsa	PROPN
cana-526	426	13	/	/	SYM
cana-526	426	14	nafips).(2013),57	nafips).(2013),57	PROPN
cana-526	426	15	–	–	PUNCT
cana-526	426	16	61	61	NUM
cana-526	426	17	.	.	PUNCT
cana-526	427	1	[	[	X
cana-526	427	2	19	19	NUM
cana-526	427	3	]	]	X
cana-526	427	4	yager	yager	PROPN
cana-526	427	5	rr	rr	PROPN
cana-526	427	6	,	,	PUNCT
cana-526	427	7	abbasov	abbasov	PROPN
cana-526	427	8	am	be	AUX
cana-526	427	9	(	(	PUNCT
cana-526	427	10	2013	2013	NUM
cana-526	427	11	)	)	PUNCT
cana-526	427	12	pyhagorean	pyhagorean	NOUN
cana-526	427	13	membership	membership	NOUN
cana-526	427	14	grades	grade	NOUN
cana-526	427	15	,	,	PUNCT
cana-526	427	16	complex	complex	ADJ
cana-526	427	17	numbers	number	NOUN
cana-526	427	18	and	and	CCONJ
cana-526	427	19	decision	decision	NOUN
cana-526	427	20	making	making	NOUN
cana-526	427	21	.	.	PUNCT
cana-526	428	1	int	int	NOUN
cana-526	428	2	.	.	PUNCT
cana-526	429	1	j.	j.	PROPN
cana-526	429	2	intell	intell	PROPN
cana-526	429	3	syst	syst	PROPN
cana-526	429	4	28(5	28(5	NUM
cana-526	429	5	)	)	PUNCT
cana-526	429	6	:	:	PUNCT
cana-526	430	1	436	436	NUM
cana-526	430	2	–	–	PUNCT
cana-526	430	3	452	452	NUM
cana-526	430	4	.	.	PUNCT
cana-526	431	1	[	[	X
cana-526	431	2	20	20	NUM
cana-526	431	3	]	]	X
cana-526	431	4	yager	yager	PROPN
cana-526	431	5	rr	rr	PROPN
cana-526	431	6	(	(	PUNCT
cana-526	431	7	2014	2014	NUM
cana-526	431	8	)	)	PUNCT
cana-526	431	9	pythagorean	pythagorean	PROPN
cana-526	431	10	membership	membership	NOUN
cana-526	431	11	grades	grade	NOUN
cana-526	431	12	in	in	ADP
cana-526	431	13	multi	multi	ADJ
cana-526	431	14	-	-	ADJ
cana-526	431	15	criteria	criteria	ADJ
cana-526	431	16	decision	decision	NOUN
cana-526	431	17	making.ieee	making.ieee	NOUN
cana-526	431	18	trans	trans	NOUN
cana-526	431	19	fuzzy	fuzzy	ADJ
cana-526	431	20	syst	syst	PROPN
cana-526	431	21	22(4	22(4	PROPN
cana-526	431	22	)	)	PUNCT
cana-526	431	23	:	:	PUNCT
cana-526	431	24	958	958	NUM
cana-526	431	25	-965	-965	NOUN
cana-526	431	26	.	.	PUNCT
cana-526	432	1	[	[	X
cana-526	432	2	21	21	NUM
cana-526	432	3	]	]	X
cana-526	432	4	zadeh	zadeh	PROPN
cana-526	432	5	.	.	PUNCT
cana-526	432	6	l.	l.	PROPN
cana-526	433	1	a	a	DET
cana-526	433	2	,	,	PUNCT
cana-526	433	3	fuzzy	fuzzy	ADJ
cana-526	433	4	sets	set	NOUN
cana-526	433	5	.information	.information	NOUN
cana-526	433	6	and	and	CCONJ
cana-526	433	7	control	control	NOUN
cana-526	433	8	.	.	PUNCT
cana-526	434	1	8(3	8(3	NUM
cana-526	434	2	)	)	PUNCT
cana-526	434	3	(	(	PUNCT
cana-526	434	4	1965	1965	NUM
cana-526	434	5	)	)	PUNCT
cana-526	434	6	338	338	NUM
cana-526	434	7	353	353	NUM
cana-526	434	8	.	.	PUNCT
cana-526	435	1	[	[	X
cana-526	435	2	22	22	NUM
cana-526	435	3	]	]	X
cana-526	435	4	zhang	zhang	PROPN
cana-526	435	5	x	x	X
cana-526	435	6	,	,	PUNCT
cana-526	435	7	xuz	xuz	PROPN
cana-526	435	8	(	(	PUNCT
cana-526	435	9	2014	2014	NUM
cana-526	435	10	)	)	PUNCT
cana-526	435	11	extension	extension	NOUN
cana-526	435	12	of	of	ADP
cana-526	435	13	topsis	topsis	NOUN
cana-526	435	14	to	to	ADP
cana-526	435	15	multiple	multiple	ADJ
cana-526	435	16	–	–	PUNCT
cana-526	435	17	criteria	criterion	NOUN
cana-526	435	18	decision	decision	NOUN
cana-526	435	19	making	make	VERB
cana-526	435	20	with	with	ADP
cana-526	435	21	pythagorean	pythagorean	PROPN
cana-526	435	22	fuzzy	fuzzy	ADJ
cana-526	435	23	sets	set	NOUN
cana-526	435	24	.	.	PUNCT
cana-526	436	1	int	int	PROPN
cana-526	436	2	j.	j.	PROPN
cana-526	436	3	intell	intell	PROPN
cana-526	436	4	syst	syst	PROPN
cana-526	436	5	29	29	NUM
cana-526	436	6	(	(	PUNCT
cana-526	436	7	12	12	NUM
cana-526	436	8	)	)	PUNCT
cana-526	436	9	:	:	PUNCT
cana-526	436	10	1061	1061	NUM
cana-526	436	11	–	–	PUNCT
cana-526	436	12	1078	1078	NUM
cana-526	436	13	.	.	PUNCT
cana-526	437	1	communications	communication	NOUN
cana-526	437	2	on	on	ADP
cana-526	437	3	applied	apply	VERB
cana-526	437	4	nonlinear	nonlinear	ADJ
cana-526	437	5	analysis	analysis	NOUN
cana-526	437	6	issn	issn	NOUN
cana-526	437	7	:	:	PUNCT
cana-526	437	8	1074	1074	NUM
cana-526	437	9	-	-	PUNCT
cana-526	437	10	133x	133x	NUM
cana-526	437	11	vol	vol	NOUN
cana-526	437	12	31	31	NUM
cana-526	437	13	no	no	NOUN
cana-526	437	14	.	.	NOUN
cana-526	437	15	2	2	NUM
cana-526	437	16	(	(	PUNCT
cana-526	437	17	2024	2024	NUM
cana-526	437	18	)	)	PUNCT
cana-526	437	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-526	437	20	155	155	NUM