id	sid	tid	token	lemma	pos
cana-1036	1	1	communications	communication	NOUN
cana-1036	1	2	on	on	ADP
cana-1036	1	3	applied	apply	VERB
cana-1036	1	4	nonlinear	nonlinear	ADJ
cana-1036	1	5	analysis	analysis	NOUN
cana-1036	1	6	issn	issn	NOUN
cana-1036	1	7	:	:	PUNCT
cana-1036	1	8	1074	1074	NUM
cana-1036	1	9	-	-	PUNCT
cana-1036	1	10	133x	133x	NUM
cana-1036	1	11	vol	vol	NOUN
cana-1036	1	12	31	31	NUM
cana-1036	1	13	no	no	NOUN
cana-1036	1	14	.	.	PUNCT
cana-1036	2	1	5s	5s	NUM
cana-1036	2	2	(	(	PUNCT
cana-1036	2	3	2024	2024	NUM
cana-1036	2	4	)	)	PUNCT
cana-1036	2	5	278	278	NUM
cana-1036	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1036	2	7	decision	decision	NOUN
cana-1036	2	8	–	–	PUNCT
cana-1036	2	9	making	make	VERB
cana-1036	2	10	problem	problem	NOUN
cana-1036	2	11	for	for	ADP
cana-1036	2	12	triangular	triangular	NOUN
cana-1036	3	1	hesitant	hesitant	ADJ
cana-1036	3	2	fuzzy	fuzzy	ADJ
cana-1036	3	3	set	set	PROPN
cana-1036	3	4	e.	e.	PROPN
cana-1036	3	5	fany	fany	PROPN
cana-1036	3	6	helena	helena	PROPN
cana-1036	3	7	assistant	assistant	PROPN
cana-1036	3	8	professor	professor	NOUN
cana-1036	3	9	in	in	ADP
cana-1036	3	10	p.g	p.g	PROPN
cana-1036	3	11	.	.	PROPN
cana-1036	3	12	and	and	CCONJ
cana-1036	3	13	research	research	PROPN
cana-1036	3	14	department	department	PROPN
cana-1036	3	15	of	of	ADP
cana-1036	3	16	mathematics	mathematics	PROPN
cana-1036	3	17	t.b.m.l	t.b.m.l	PROPN
cana-1036	3	18	.	.	PUNCT
cana-1036	4	1	college	college	PROPN
cana-1036	4	2	(	(	PUNCT
cana-1036	4	3	affiliated	affiliate	VERB
cana-1036	4	4	to	to	ADP
cana-1036	4	5	annamalai	annamalai	PROPN
cana-1036	4	6	university	university	PROPN
cana-1036	4	7	,	,	PUNCT
cana-1036	4	8	chidambaram	chidambaram	PROPN
cana-1036	4	9	)	)	PUNCT
cana-1036	4	10	porayar-609307	porayar-609307	NOUN
cana-1036	4	11	,	,	PUNCT
cana-1036	4	12	tamil	tamil	PROPN
cana-1036	4	13	nadu	nadu	PROPN
cana-1036	4	14	,	,	PUNCT
cana-1036	4	15	india	india	PROPN
cana-1036	4	16	.	.	PUNCT
cana-1036	5	1	e	e	X
cana-1036	5	2	-	-	NOUN
cana-1036	5	3	mail	mail	NOUN
cana-1036	5	4	:	:	PUNCT
cana-1036	5	5	fanyhelena3@gmail.com	fanyhelena3@gmail.com	X
cana-1036	6	1	article	article	NOUN
cana-1036	6	2	history	history	NOUN
cana-1036	6	3	:	:	PUNCT
cana-1036	6	4	received	receive	VERB
cana-1036	6	5	:	:	PUNCT
cana-1036	6	6	12	12	NUM
cana-1036	6	7	-	-	PUNCT
cana-1036	6	8	05	05	NUM
cana-1036	6	9	-	-	PUNCT
cana-1036	6	10	2024	2024	NUM
cana-1036	6	11	revised	revise	VERB
cana-1036	6	12	:	:	PUNCT
cana-1036	6	13	24	24	NUM
cana-1036	6	14	-	-	PUNCT
cana-1036	6	15	06	06	NUM
cana-1036	6	16	-	-	PUNCT
cana-1036	6	17	2024	2024	NUM
cana-1036	6	18	accepted	accept	VERB
cana-1036	6	19	:	:	PUNCT
cana-1036	6	20	06	06	NUM
cana-1036	6	21	-	-	SYM
cana-1036	6	22	07	07	NUM
cana-1036	6	23	-	-	PUNCT
cana-1036	6	24	2024	2024	NUM
cana-1036	6	25	abstract	abstract	NOUN
cana-1036	6	26	:	:	PUNCT
cana-1036	6	27	in	in	ADP
cana-1036	6	28	this	this	DET
cana-1036	6	29	paper	paper	NOUN
cana-1036	6	30	,	,	PUNCT
cana-1036	6	31	we	we	PRON
cana-1036	6	32	proposed	propose	VERB
cana-1036	6	33	two	two	NUM
cana-1036	6	34	new	new	ADJ
cana-1036	6	35	algorithms	algorithm	NOUN
cana-1036	6	36	to	to	PART
cana-1036	6	37	address	address	VERB
cana-1036	6	38	the	the	DET
cana-1036	6	39	task	task	NOUN
cana-1036	6	40	of	of	ADP
cana-1036	6	41	multicriteria	multicriteria	NOUN
cana-1036	6	42	decisionmaking	decisionmake	VERB
cana-1036	6	43	problems	problem	NOUN
cana-1036	6	44	in	in	ADP
cana-1036	6	45	which	which	PRON
cana-1036	6	46	the	the	DET
cana-1036	6	47	criteria	criterion	NOUN
cana-1036	6	48	weights	weight	NOUN
cana-1036	6	49	which	which	PRON
cana-1036	6	50	have	have	AUX
cana-1036	6	51	been	be	AUX
cana-1036	6	52	unidentified	unidentifie	VERB
cana-1036	6	53	,	,	PUNCT
cana-1036	6	54	and	and	CCONJ
cana-1036	6	55	alternatives	alternative	NOUN
cana-1036	6	56	are	be	AUX
cana-1036	6	57	provided	provide	VERB
cana-1036	6	58	by	by	ADP
cana-1036	6	59	triangular	triangular	NOUN
cana-1036	6	60	fuzzy	fuzzy	ADJ
cana-1036	6	61	numbers	number	NOUN
cana-1036	6	62	'	'	PART
cana-1036	6	63	linguistic	linguistic	ADJ
cana-1036	6	64	values	value	NOUN
cana-1036	6	65	.	.	PUNCT
cana-1036	7	1	a	a	DET
cana-1036	7	2	decision	decision	NOUN
cana-1036	7	3	-	-	PUNCT
cana-1036	7	4	making	make	VERB
cana-1036	7	5	problem	problem	NOUN
cana-1036	7	6	with	with	ADP
cana-1036	7	7	assessments	assessment	NOUN
cana-1036	7	8	has	have	AUX
cana-1036	7	9	been	be	AUX
cana-1036	7	10	proposed	propose	VERB
cana-1036	7	11	on	on	ADP
cana-1036	7	12	the	the	DET
cana-1036	7	13	basis	basis	NOUN
cana-1036	7	14	of	of	ADP
cana-1036	7	15	expected	expect	VERB
cana-1036	7	16	values	value	NOUN
cana-1036	7	17	.	.	PUNCT
cana-1036	8	1	the	the	DET
cana-1036	8	2	expected	expect	VERB
cana-1036	8	3	values	value	NOUN
cana-1036	8	4	for	for	ADP
cana-1036	8	5	two	two	NUM
cana-1036	8	6	algorithms	algorithm	NOUN
cana-1036	8	7	are	be	AUX
cana-1036	8	8	calculated	calculate	VERB
cana-1036	8	9	with	with	ADP
cana-1036	8	10	two	two	NUM
cana-1036	8	11	different	different	ADJ
cana-1036	8	12	'	'	PUNCT
cana-1036	8	13	ranking	ranking	ADJ
cana-1036	8	14	functions	function	NOUN
cana-1036	8	15	'	'	PUNCT
cana-1036	8	16	.	.	PUNCT
cana-1036	9	1	the	the	DET
cana-1036	9	2	weights	weight	NOUN
cana-1036	9	3	are	be	AUX
cana-1036	9	4	obtained	obtain	VERB
cana-1036	9	5	by	by	ADP
cana-1036	9	6	calculating	calculate	VERB
cana-1036	9	7	the	the	DET
cana-1036	9	8	variance	variance	NOUN
cana-1036	9	9	and	and	CCONJ
cana-1036	9	10	mean	mean	ADV
cana-1036	9	11	of	of	ADP
cana-1036	9	12	expected	expect	VERB
cana-1036	9	13	values	value	NOUN
cana-1036	9	14	with	with	ADP
cana-1036	9	15	the	the	DET
cana-1036	9	16	aid	aid	NOUN
cana-1036	9	17	of	of	ADP
cana-1036	9	18	the	the	DET
cana-1036	9	19	triangular	triangular	NOUN
cana-1036	9	20	hesitant	hesitant	ADJ
cana-1036	9	21	fuzzy	fuzzy	ADJ
cana-1036	9	22	decision	decision	NOUN
cana-1036	9	23	matrix	matrix	NOUN
cana-1036	9	24	.	.	PUNCT
cana-1036	10	1	the	the	DET
cana-1036	10	2	all	all	DET
cana-1036	10	3	alternatives	alternative	NOUN
cana-1036	10	4	ranking	rank	VERB
cana-1036	10	5	order	order	NOUN
cana-1036	10	6	is	be	AUX
cana-1036	10	7	determined	determine	VERB
cana-1036	10	8	,	,	PUNCT
cana-1036	10	9	and	and	CCONJ
cana-1036	10	10	the	the	DET
cana-1036	10	11	maximum	maximum	ADJ
cana-1036	10	12	one	one	NUM
cana-1036	10	13	is	be	AUX
cana-1036	10	14	the	the	DET
cana-1036	10	15	best	good	ADJ
cana-1036	10	16	that	that	PRON
cana-1036	10	17	can	can	AUX
cana-1036	10	18	be	be	AUX
cana-1036	10	19	identified	identify	VERB
cana-1036	10	20	easily	easily	ADV
cana-1036	10	21	.	.	PUNCT
cana-1036	11	1	lastly	lastly	ADV
cana-1036	11	2	,	,	PUNCT
cana-1036	11	3	a	a	DET
cana-1036	11	4	representative	representative	ADJ
cana-1036	11	5	example	example	NOUN
cana-1036	11	6	is	be	AUX
cana-1036	11	7	provided	provide	VERB
cana-1036	11	8	regarding	regard	VERB
cana-1036	11	9	the	the	DET
cana-1036	11	10	health	health	NOUN
cana-1036	11	11	issues	issue	NOUN
cana-1036	11	12	of	of	ADP
cana-1036	11	13	a	a	DET
cana-1036	11	14	community	community	NOUN
cana-1036	11	15	.	.	PUNCT
cana-1036	12	1	keywords	keyword	NOUN
cana-1036	12	2	:	:	PUNCT
cana-1036	12	3	expected	expect	VERB
cana-1036	12	4	value	value	NOUN
cana-1036	12	5	,	,	PUNCT
cana-1036	12	6	triangular	triangular	NOUN
cana-1036	12	7	hesitant	hesitant	ADJ
cana-1036	12	8	fuzzy	fuzzy	ADJ
cana-1036	12	9	set	set	NOUN
cana-1036	12	10	,	,	PUNCT
cana-1036	12	11	variance	variance	NOUN
cana-1036	12	12	,	,	PUNCT
cana-1036	12	13	mean	mean	VERB
cana-1036	12	14	,	,	PUNCT
cana-1036	12	15	multicriteria	multicriteria	PROPN
cana-1036	12	16	decision	decision	NOUN
cana-1036	12	17	making	making	NOUN
cana-1036	12	18	.	.	PUNCT
cana-1036	13	1	1	1	X
cana-1036	13	2	.	.	X
cana-1036	13	3	introduction	introduction	NOUN
cana-1036	13	4	the	the	DET
cana-1036	13	5	idea	idea	NOUN
cana-1036	13	6	of	of	ADP
cana-1036	13	7	a	a	DET
cana-1036	13	8	fuzzy	fuzzy	ADJ
cana-1036	13	9	set	set	NOUN
cana-1036	13	10	is	be	AUX
cana-1036	13	11	unable	unable	ADJ
cana-1036	13	12	to	to	PART
cana-1036	13	13	accurately	accurately	ADV
cana-1036	13	14	model	model	VERB
cana-1036	13	15	unpredictability	unpredictability	NOUN
cana-1036	13	16	,	,	PUNCT
cana-1036	13	17	inaccurate	inaccurate	ADJ
cana-1036	13	18	,	,	PUNCT
cana-1036	13	19	and	and	CCONJ
cana-1036	13	20	vague	vague	ADJ
cana-1036	13	21	information	information	NOUN
cana-1036	13	22	when	when	SCONJ
cana-1036	13	23	numerous	numerous	ADJ
cana-1036	13	24	sources	source	NOUN
cana-1036	13	25	of	of	ADP
cana-1036	13	26	vagueness	vagueness	NOUN
cana-1036	13	27	occur	occur	VERB
cana-1036	13	28	at	at	ADP
cana-1036	13	29	the	the	DET
cana-1036	13	30	same	same	ADJ
cana-1036	13	31	time	time	NOUN
cana-1036	13	32	.	.	PUNCT
cana-1036	14	1	to	to	PART
cana-1036	14	2	overcome	overcome	VERB
cana-1036	14	3	this	this	DET
cana-1036	14	4	limitation	limitation	NOUN
cana-1036	14	5	,	,	PUNCT
cana-1036	14	6	many	many	ADJ
cana-1036	14	7	fuzzy	fuzzy	ADJ
cana-1036	14	8	set	set	NOUN
cana-1036	14	9	extensions	extension	NOUN
cana-1036	14	10	had	have	AUX
cana-1036	14	11	been	be	AUX
cana-1036	14	12	proposed	propose	VERB
cana-1036	14	13	in	in	ADP
cana-1036	14	14	literature	literature	NOUN
cana-1036	14	15	.	.	PUNCT
cana-1036	15	1	a	a	DET
cana-1036	15	2	demonstration	demonstration	NOUN
cana-1036	15	3	of	of	ADP
cana-1036	15	4	interval	interval	NOUN
cana-1036	15	5	-	-	PUNCT
cana-1036	15	6	valued	value	VERB
cana-1036	15	7	dual	dual	ADV
cana-1036	15	8	hesitant	hesitant	ADJ
cana-1036	15	9	fuzzy	fuzzy	ADJ
cana-1036	15	10	information	information	NOUN
cana-1036	15	11	aggregation	aggregation	NOUN
cana-1036	15	12	to	to	ADP
cana-1036	15	13	multiple	multiple	ADJ
cana-1036	15	14	attribute	attribute	NOUN
cana-1036	15	15	decision	decision	NOUN
cana-1036	15	16	-	-	PUNCT
cana-1036	15	17	making	making	NOUN
cana-1036	15	18	has	have	AUX
cana-1036	15	19	been	be	AUX
cana-1036	15	20	presented	present	VERB
cana-1036	15	21	by	by	ADP
cana-1036	15	22	peng	peng	PROPN
cana-1036	15	23	x	x	PROPN
cana-1036	15	24	,	,	PUNCT
cana-1036	15	25	liu	liu	PROPN
cana-1036	15	26	l	l	PROPN
cana-1036	15	27	,	,	PUNCT
cana-1036	15	28	and	and	CCONJ
cana-1036	15	29	dai	dai	PROPN
cana-1036	15	30	j	j	PROPN
cana-1036	16	1	[	[	X
cana-1036	16	2	2	2	NUM
cana-1036	16	3	]	]	PUNCT
cana-1036	16	4	.	.	PUNCT
cana-1036	17	1	a	a	DET
cana-1036	17	2	few	few	ADJ
cana-1036	17	3	noteworthy	noteworthy	ADJ
cana-1036	17	4	extensions	extension	NOUN
cana-1036	17	5	are	be	AUX
cana-1036	17	6	the	the	DET
cana-1036	17	7	interval	interval	NOUN
cana-1036	17	8	-	-	PUNCT
cana-1036	17	9	valued	value	VERB
cana-1036	17	10	fuzzy	fuzzy	ADJ
cana-1036	17	11	set	set	NOUN
cana-1036	17	12	,	,	PUNCT
cana-1036	17	13	which	which	PRON
cana-1036	17	14	assigns	assign	VERB
cana-1036	17	15	a	a	DET
cana-1036	17	16	closed	closed	ADJ
cana-1036	17	17	subinterval	subinterval	NOUN
cana-1036	17	18	of	of	ADP
cana-1036	17	19	[	[	X
cana-1036	17	20	0	0	NUM
cana-1036	17	21	,	,	PUNCT
cana-1036	17	22	1	1	NUM
cana-1036	17	23	]	]	PUNCT
cana-1036	17	24	as	as	ADP
cana-1036	17	25	the	the	DET
cana-1036	17	26	membership	membership	NOUN
cana-1036	17	27	degree	degree	NOUN
cana-1036	17	28	for	for	ADP
cana-1036	17	29	each	each	DET
cana-1036	17	30	component	component	NOUN
cana-1036	17	31	;	;	PUNCT
cana-1036	17	32	the	the	DET
cana-1036	17	33	ifs	ifs	PROPN
cana-1036	17	34	(	(	PUNCT
cana-1036	17	35	intuitionistic	intuitionistic	ADJ
cana-1036	17	36	fuzzy	fuzzy	ADJ
cana-1036	17	37	set	set	NOUN
cana-1036	17	38	)	)	PUNCT
cana-1036	17	39	,	,	PUNCT
cana-1036	17	40	which	which	PRON
cana-1036	17	41	takes	take	VERB
cana-1036	17	42	in	in	ADP
cana-1036	17	43	to	to	ADP
cana-1036	17	44	the	the	DET
cana-1036	17	45	considerations	consideration	NOUN
cana-1036	17	46	both	both	CCONJ
cana-1036	17	47	the	the	DET
cana-1036	17	48	degree	degree	NOUN
cana-1036	17	49	of	of	ADP
cana-1036	17	50	membership	membership	NOUN
cana-1036	17	51	and	and	CCONJ
cana-1036	17	52	nonmembership	nonmembership	NOUN
cana-1036	17	53	degree	degree	NOUN
cana-1036	17	54	of	of	ADP
cana-1036	17	55	each	each	DET
cana-1036	17	56	element	element	NOUN
cana-1036	17	57	;	;	PUNCT
cana-1036	17	58	the	the	DET
cana-1036	17	59	type-2	type-2	NUM
cana-1036	17	60	fuzzy	fuzzy	ADJ
cana-1036	17	61	set	set	NOUN
cana-1036	17	62	,	,	PUNCT
cana-1036	17	63	which	which	PRON
cana-1036	17	64	uses	use	VERB
cana-1036	17	65	a	a	DET
cana-1036	17	66	fuzzy	fuzzy	ADJ
cana-1036	17	67	set	set	NOUN
cana-1036	17	68	over	over	ADP
cana-1036	17	69	[	[	X
cana-1036	17	70	0	0	NUM
cana-1036	17	71	,	,	PUNCT
cana-1036	17	72	1	1	NUM
cana-1036	17	73	]	]	PUNCT
cana-1036	17	74	to	to	PART
cana-1036	17	75	incorporate	incorporate	VERB
cana-1036	17	76	uncertainty	uncertainty	NOUN
cana-1036	17	77	into	into	ADP
cana-1036	17	78	the	the	DET
cana-1036	17	79	membership	membership	NOUN
cana-1036	17	80	function	function	NOUN
cana-1036	17	81	definition	definition	NOUN
cana-1036	17	82	;	;	PUNCT
cana-1036	17	83	and	and	CCONJ
cana-1036	17	84	the	the	DET
cana-1036	17	85	fuzzy	fuzzy	ADJ
cana-1036	17	86	multiset	multiset	NOUN
cana-1036	17	87	,	,	PUNCT
cana-1036	17	88	on	on	ADP
cana-1036	17	89	the	the	DET
cana-1036	17	90	basis	basis	NOUN
cana-1036	17	91	of	of	ADP
cana-1036	17	92	a	a	DET
cana-1036	17	93	multiset	multiset	NOUN
cana-1036	17	94	with	with	ADP
cana-1036	17	95	possibly	possibly	ADV
cana-1036	17	96	repeated	repeat	VERB
cana-1036	17	97	elements	element	NOUN
cana-1036	17	98	.	.	PUNCT
cana-1036	18	1	nevertheless	nevertheless	ADV
cana-1036	18	2	,	,	PUNCT
cana-1036	18	3	hesitant	hesitant	ADJ
cana-1036	18	4	fuzzy	fuzzy	ADJ
cana-1036	18	5	sets	set	NOUN
cana-1036	18	6	are	be	AUX
cana-1036	18	7	a	a	DET
cana-1036	18	8	more	more	ADV
cana-1036	18	9	popular	popular	ADJ
cana-1036	18	10	and	and	CCONJ
cana-1036	18	11	often	often	ADV
cana-1036	18	12	utilized	utilize	VERB
cana-1036	18	13	concept	concept	NOUN
cana-1036	18	14	of	of	ADP
cana-1036	18	15	fuzzy	fuzzy	ADJ
cana-1036	18	16	extensions	extension	NOUN
cana-1036	18	17	.	.	PUNCT
cana-1036	19	1	they	they	PRON
cana-1036	19	2	are	be	AUX
cana-1036	19	3	used	use	VERB
cana-1036	19	4	to	to	PART
cana-1036	19	5	model	model	VERB
cana-1036	19	6	a	a	DET
cana-1036	19	7	decision	decision	NOUN
cana-1036	19	8	-	-	PUNCT
cana-1036	19	9	making	make	VERB
cana-1036	19	10	scenario	scenario	NOUN
cana-1036	19	11	where	where	SCONJ
cana-1036	19	12	an	an	DET
cana-1036	19	13	expert	expert	NOUN
cana-1036	19	14	may	may	AUX
cana-1036	19	15	weigh	weigh	VERB
cana-1036	19	16	the	the	DET
cana-1036	19	17	relative	relative	ADJ
cana-1036	19	18	merits	merit	NOUN
cana-1036	19	19	of	of	ADP
cana-1036	19	20	each	each	DET
cana-1036	19	21	element	element	NOUN
cana-1036	19	22	in	in	ADP
cana-1036	19	23	a	a	DET
cana-1036	19	24	set	set	NOUN
cana-1036	19	25	.	.	PUNCT
cana-1036	20	1	in	in	ADP
cana-1036	20	2	[	[	X
cana-1036	20	3	1	1	NUM
cana-1036	20	4	]	]	PUNCT
cana-1036	20	5	,	,	PUNCT
cana-1036	20	6	they	they	PRON
cana-1036	20	7	studied	study	VERB
cana-1036	20	8	the	the	DET
cana-1036	20	9	speed	speed	NOUN
cana-1036	20	10	forecasting	forecasting	NOUN
cana-1036	20	11	system	system	NOUN
cana-1036	20	12	with	with	ADP
cana-1036	20	13	novel	novel	ADJ
cana-1036	20	14	defuzzification	defuzzification	NOUN
cana-1036	20	15	using	use	VERB
cana-1036	20	16	the	the	DET
cana-1036	20	17	hesitant	hesitant	ADJ
cana-1036	20	18	number	number	NOUN
cana-1036	20	19	.	.	PUNCT
cana-1036	21	1	humble	humble	ADJ
cana-1036	21	2	fuzzy	fuzzy	ADJ
cana-1036	21	3	sets	set	NOUN
cana-1036	21	4	are	be	AUX
cana-1036	21	5	thought	think	VERB
cana-1036	21	6	to	to	PART
cana-1036	21	7	be	be	AUX
cana-1036	21	8	the	the	DET
cana-1036	21	9	most	most	ADV
cana-1036	21	10	comprehensive	comprehensive	ADJ
cana-1036	21	11	set	set	NOUN
cana-1036	21	12	because	because	SCONJ
cana-1036	21	13	they	they	PRON
cana-1036	21	14	support	support	VERB
cana-1036	21	15	a	a	DET
cana-1036	21	16	flexible	flexible	ADJ
cana-1036	21	17	approach	approach	NOUN
cana-1036	21	18	while	while	SCONJ
cana-1036	21	19	decisionmakers	decisionmaker	NOUN
cana-1036	21	20	make	make	VERB
cana-1036	21	21	their	their	PRON
cana-1036	21	22	own	own	ADJ
cana-1036	21	23	decisions	decision	NOUN
cana-1036	21	24	.	.	PUNCT
cana-1036	22	1	this	this	PRON
cana-1036	22	2	is	be	AUX
cana-1036	22	3	because	because	SCONJ
cana-1036	22	4	hesitant	hesitant	ADJ
cana-1036	22	5	fuzzy	fuzzy	ADJ
cana-1036	22	6	sets	set	NOUN
cana-1036	22	7	have	have	AUX
cana-1036	22	8	been	be	AUX
cana-1036	22	9	formed	form	VERB
cana-1036	22	10	by	by	ADP
cana-1036	22	11	top	top	ADJ
cana-1036	22	12	researchers	researcher	NOUN
cana-1036	22	13	who	who	PRON
cana-1036	22	14	has	have	AUX
cana-1036	22	15	been	be	AUX
cana-1036	22	16	given	give	VERB
cana-1036	22	17	a	a	DET
cana-1036	22	18	broad	broad	ADJ
cana-1036	22	19	conceptualization	conceptualization	NOUN
cana-1036	22	20	along	along	ADP
cana-1036	22	21	with	with	ADP
cana-1036	22	22	the	the	DET
cana-1036	22	23	application	application	NOUN
cana-1036	22	24	of	of	ADP
cana-1036	22	25	the	the	DET
cana-1036	22	26	concept	concept	NOUN
cana-1036	22	27	,	,	PUNCT
cana-1036	22	28	which	which	PRON
cana-1036	22	29	was	be	AUX
cana-1036	22	30	later	later	ADV
cana-1036	22	31	adopted	adopt	VERB
cana-1036	22	32	by	by	ADP
cana-1036	22	33	other	other	ADJ
cana-1036	22	34	researchers	researcher	NOUN
cana-1036	22	35	in	in	ADP
cana-1036	22	36	the	the	DET
cana-1036	22	37	field	field	NOUN
cana-1036	22	38	.	.	PUNCT
cana-1036	23	1	that	that	PRON
cana-1036	23	2	's	be	AUX
cana-1036	23	3	why	why	SCONJ
cana-1036	23	4	hesitant	hesitant	ADJ
cana-1036	23	5	fuzzy	fuzzy	ADJ
cana-1036	23	6	sets	set	NOUN
cana-1036	23	7	are	be	AUX
cana-1036	23	8	more	more	ADV
cana-1036	23	9	extensively	extensively	ADV
cana-1036	23	10	used	use	VERB
cana-1036	23	11	in	in	ADP
cana-1036	23	12	many	many	ADJ
cana-1036	23	13	areas	area	NOUN
cana-1036	23	14	.	.	PUNCT
cana-1036	24	1	in	in	ADP
cana-1036	24	2	addition	addition	NOUN
cana-1036	24	3	to	to	ADP
cana-1036	24	4	researching	research	VERB
cana-1036	24	5	the	the	DET
cana-1036	24	6	similarity	similarity	NOUN
cana-1036	24	7	metric	metric	ADJ
cana-1036	24	8	with	with	ADP
cana-1036	24	9	sign	sign	PROPN
cana-1036	24	10	distance	distance	NOUN
cana-1036	24	11	,	,	PUNCT
cana-1036	24	12	stephen	stephen	PROPN
cana-1036	24	13	dinagar	dinagar	PROPN
cana-1036	24	14	and	and	CCONJ
cana-1036	24	15	fany	fany	PROPN
cana-1036	24	16	helena	helena	PROPN
cana-1036	25	1	[	[	X
cana-1036	25	2	3,4	3,4	NUM
cana-1036	25	3	]	]	PUNCT
cana-1036	25	4	also	also	ADV
cana-1036	25	5	presented	present	VERB
cana-1036	25	6	a	a	DET
cana-1036	25	7	novel	novel	ADJ
cana-1036	25	8	approach	approach	NOUN
cana-1036	25	9	for	for	ADP
cana-1036	25	10	computing	compute	VERB
cana-1036	25	11	the	the	DET
cana-1036	25	12	centroids	centroid	NOUN
cana-1036	25	13	of	of	ADP
cana-1036	25	14	both	both	CCONJ
cana-1036	25	15	vertical	vertical	ADJ
cana-1036	25	16	and	and	CCONJ
cana-1036	25	17	horizontal	horizontal	ADJ
cana-1036	25	18	axes	axis	NOUN
cana-1036	25	19	as	as	ADV
cana-1036	25	20	well	well	ADV
cana-1036	25	21	as	as	ADP
cana-1036	25	22	the	the	DET
cana-1036	25	23	value	value	NOUN
cana-1036	25	24	and	and	CCONJ
cana-1036	25	25	ambiguity	ambiguity	NOUN
cana-1036	25	26	indices	indice	VERB
cana-1036	25	27	using	use	VERB
cana-1036	25	28	trapezoidal	trapezoidal	ADJ
cana-1036	25	29	communications	communication	NOUN
cana-1036	25	30	on	on	ADP
cana-1036	25	31	applied	apply	VERB
cana-1036	25	32	nonlinear	nonlinear	ADJ
cana-1036	25	33	analysis	analysis	NOUN
cana-1036	25	34	issn	issn	NOUN
cana-1036	25	35	:	:	PUNCT
cana-1036	25	36	1074	1074	NUM
cana-1036	25	37	-	-	PUNCT
cana-1036	25	38	133x	133x	NUM
cana-1036	25	39	vol	vol	NOUN
cana-1036	25	40	31	31	NUM
cana-1036	25	41	no	no	NOUN
cana-1036	25	42	.	.	PUNCT
cana-1036	26	1	5s	5s	NUM
cana-1036	26	2	(	(	PUNCT
cana-1036	26	3	2024	2024	NUM
cana-1036	26	4	)	)	PUNCT
cana-1036	26	5	279	279	NUM
cana-1036	26	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1036	26	7	intuitionistic	intuitionistic	ADJ
cana-1036	26	8	fuzzy	fuzzy	ADJ
cana-1036	26	9	numbers	number	NOUN
cana-1036	26	10	.	.	PUNCT
cana-1036	27	1	similarity	similarity	NOUN
cana-1036	27	2	measures	measure	NOUN
cana-1036	27	3	with	with	ADP
cana-1036	27	4	vector	vector	NOUN
cana-1036	27	5	-	-	PUNCT
cana-1036	27	6	length	length	NOUN
cana-1036	27	7	under	under	ADP
cana-1036	27	8	fuzzy	fuzzy	ADJ
cana-1036	27	9	environment	environment	NOUN
cana-1036	27	10	were	be	AUX
cana-1036	27	11	proposed	propose	VERB
cana-1036	27	12	in	in	ADP
cana-1036	27	13	[	[	X
cana-1036	27	14	5	5	NUM
cana-1036	27	15	]	]	PUNCT
cana-1036	27	16	.	.	PUNCT
cana-1036	28	1	in	in	ADP
cana-1036	28	2	this	this	DET
cana-1036	28	3	paper	paper	NOUN
cana-1036	28	4	,	,	PUNCT
cana-1036	28	5	we	we	PRON
cana-1036	28	6	proposed	propose	VERB
cana-1036	28	7	a	a	DET
cana-1036	28	8	new	new	ADJ
cana-1036	28	9	expected	expect	VERB
cana-1036	28	10	value	value	NOUN
cana-1036	28	11	using	use	VERB
cana-1036	28	12	different	different	ADJ
cana-1036	28	13	ranking	ranking	NOUN
cana-1036	28	14	procedures	procedure	NOUN
cana-1036	28	15	and	and	CCONJ
cana-1036	28	16	the	the	DET
cana-1036	28	17	ranking	ranking	NOUN
cana-1036	28	18	functions	function	NOUN
cana-1036	28	19	in	in	ADP
cana-1036	28	20	[	[	X
cana-1036	28	21	3,4,5	3,4,5	NUM
cana-1036	28	22	]	]	PUNCT
cana-1036	28	23	.	.	PUNCT
cana-1036	29	1	the	the	DET
cana-1036	29	2	order	order	NOUN
cana-1036	29	3	in	in	ADP
cana-1036	29	4	which	which	PRON
cana-1036	29	5	all	all	DET
cana-1036	29	6	options	option	NOUN
cana-1036	29	7	are	be	AUX
cana-1036	29	8	ranked	rank	VERB
cana-1036	29	9	is	be	AUX
cana-1036	29	10	determined	determine	VERB
cana-1036	29	11	,	,	PUNCT
cana-1036	29	12	and	and	CCONJ
cana-1036	29	13	the	the	DET
cana-1036	29	14	maximum	maximum	ADJ
cana-1036	29	15	one	one	NUM
cana-1036	29	16	is	be	AUX
cana-1036	29	17	the	the	DET
cana-1036	29	18	best	good	ADJ
cana-1036	29	19	,	,	PUNCT
cana-1036	29	20	which	which	PRON
cana-1036	29	21	can	can	AUX
cana-1036	29	22	be	be	AUX
cana-1036	29	23	identified	identify	VERB
cana-1036	29	24	easily	easily	ADV
cana-1036	29	25	through	through	ADP
cana-1036	29	26	these	these	DET
cana-1036	29	27	ranking	rank	VERB
cana-1036	29	28	procedures	procedure	NOUN
cana-1036	29	29	.	.	PUNCT
cana-1036	30	1	2	2	X
cana-1036	30	2	.	.	X
cana-1036	30	3	objectives	objective	NOUN
cana-1036	30	4	definition:2.1	definition:2.1	NOUN
cana-1036	30	5	let	let	VERB
cana-1036	30	6	x	x	PRON
cana-1036	30	7	be	be	AUX
cana-1036	30	8	a	a	DET
cana-1036	30	9	fixed	fix	VERB
cana-1036	30	10	reference	reference	NOUN
cana-1036	30	11	set	set	VERB
cana-1036	30	12	.	.	PUNCT
cana-1036	31	1	a	a	DET
cana-1036	31	2	hfs	hfs	NOUN
cana-1036	31	3	on	on	ADP
cana-1036	31	4	x	x	VERB
cana-1036	31	5	is	be	AUX
cana-1036	31	6	defined	define	VERB
cana-1036	31	7	in	in	ADP
cana-1036	31	8	terms	term	NOUN
cana-1036	31	9	of	of	ADP
cana-1036	31	10	a	a	DET
cana-1036	31	11	function	function	NOUN
cana-1036	31	12	from	from	ADP
cana-1036	31	13	x	x	PRON
cana-1036	31	14	to	to	ADP
cana-1036	31	15	a	a	DET
cana-1036	31	16	subset	subset	NOUN
cana-1036	31	17	of	of	ADP
cana-1036	31	18	[	[	X
cana-1036	31	19	0,1	0,1	NUM
cana-1036	31	20	]	]	PUNCT
cana-1036	31	21	,	,	PUNCT
cana-1036	31	22	that	that	PRON
cana-1036	31	23	has	have	AUX
cana-1036	31	24	been	be	AUX
cana-1036	31	25	considered	consider	VERB
cana-1036	31	26	by	by	ADP
cana-1036	31	27	a	a	DET
cana-1036	31	28	=	=	NOUN
cana-1036	31	29	{	{	PUNCT
cana-1036	31	30	〈	〈	NOUN
cana-1036	31	31	𝑥	𝑥	NOUN
cana-1036	31	32	,	,	PUNCT
cana-1036	31	33	ℎ̃𝐴(𝑥)〉/𝑥	ℎ̃𝐴(𝑥)〉/𝑥	PROPN
cana-1036	31	34	∈	∈	PROPN
cana-1036	31	35	𝑋	𝑋	PROPN
cana-1036	31	36	}	}	PUNCT
cana-1036	31	37	,	,	PUNCT
cana-1036	31	38	in	in	ADP
cana-1036	31	39	which	which	PRON
cana-1036	31	40	ℎ̃𝐴(𝑥	ℎ̃𝐴(𝑥	VERB
cana-1036	31	41	)	)	PUNCT
cana-1036	31	42	as	as	ADP
cana-1036	31	43	hesitant	hesitant	ADJ
cana-1036	31	44	fuzzy	fuzzy	ADJ
cana-1036	31	45	element	element	NOUN
cana-1036	31	46	(	(	PUNCT
cana-1036	31	47	h.f.e	h.f.e	NOUN
cana-1036	31	48	.	.	PUNCT
cana-1036	31	49	)	)	PUNCT
cana-1036	31	50	,	,	PUNCT
cana-1036	31	51	and	and	CCONJ
cana-1036	31	52	it	it	PRON
cana-1036	31	53	represents	represent	VERB
cana-1036	31	54	a	a	DET
cana-1036	31	55	set	set	NOUN
cana-1036	31	56	of	of	ADP
cana-1036	31	57	some	some	DET
cana-1036	31	58	values	value	NOUN
cana-1036	31	59	in	in	ADP
cana-1036	31	60	[	[	X
cana-1036	31	61	0,1	0,1	NUM
cana-1036	31	62	]	]	PUNCT
cana-1036	31	63	.	.	PUNCT
cana-1036	32	1	furthermore	furthermore	ADV
cana-1036	32	2	,	,	PUNCT
cana-1036	32	3	the	the	DET
cana-1036	32	4	h.f.e	h.f.e	NOUN
cana-1036	32	5	.	.	PUNCT
cana-1036	32	6	ℎ̃𝐴(𝑥	ℎ̃𝐴(𝑥	PROPN
cana-1036	32	7	)	)	PUNCT
cana-1036	32	8	stands	stand	VERB
cana-1036	32	9	for	for	ADP
cana-1036	32	10	the	the	DET
cana-1036	32	11	possible	possible	ADJ
cana-1036	32	12	membership	membership	NOUN
cana-1036	32	13	degrees	degree	NOUN
cana-1036	32	14	of	of	ADP
cana-1036	32	15	the	the	DET
cana-1036	32	16	element	element	NOUN
cana-1036	32	17	x	x	SYM
cana-1036	32	18	∈	∈	PROPN
cana-1036	32	19	x	x	X
cana-1036	32	20	to	to	ADP
cana-1036	32	21	the	the	DET
cana-1036	32	22	set	set	NOUN
cana-1036	32	23	a.	a.	NOUN
cana-1036	32	24	definition:2.2	definition:2.2	NOUN
cana-1036	32	25	for	for	ADP
cana-1036	32	26	a	a	DET
cana-1036	32	27	hesitant	hesitant	ADJ
cana-1036	32	28	,	,	PUNCT
cana-1036	32	29	fuzzy	fuzzy	ADJ
cana-1036	32	30	element	element	NOUN
cana-1036	32	31	,	,	PUNCT
cana-1036	32	32	h	h	PROPN
cana-1036	32	33	𝑆′(ℎ̃	𝑆′(ℎ̃	PROPN
cana-1036	32	34	)	)	PUNCT
cana-1036	32	35	=	=	SYM
cana-1036	32	36	1	1	NUM
cana-1036	32	37	∗ℎ̃	∗ℎ̃	NOUN
cana-1036	32	38	∑	∑	PUNCT
cana-1036	32	39	∆∆∈∗ℎ̃	∆∆∈∗ℎ̃	PROPN
cana-1036	32	40	is	be	AUX
cana-1036	32	41	called	call	VERB
cana-1036	32	42	the	the	DET
cana-1036	32	43	score	score	NOUN
cana-1036	32	44	function	function	NOUN
cana-1036	32	45	of	of	ADP
cana-1036	32	46	ℎ̃	ℎ̃	PROPN
cana-1036	32	47	,	,	PUNCT
cana-1036	32	48	where	where	SCONJ
cana-1036	32	49	*	*	PUNCT
cana-1036	32	50	ℎ̃	ℎ̃	PROPN
cana-1036	32	51	represents	represent	VERB
cana-1036	32	52	the	the	DET
cana-1036	32	53	number	number	NOUN
cana-1036	32	54	of	of	ADP
cana-1036	32	55	elements	element	NOUN
cana-1036	32	56	.	.	PUNCT
cana-1036	33	1	for	for	ADP
cana-1036	33	2	any	any	DET
cana-1036	33	3	2	2	NUM
cana-1036	33	4	h.f.e	h.f.e	NOUN
cana-1036	33	5	(	(	PUNCT
cana-1036	33	6	i	i	NOUN
cana-1036	33	7	)	)	PUNCT
cana-1036	33	8	if	if	SCONJ
cana-1036	33	9	𝑆′(ℎ̃1	𝑆′(ℎ̃1	ADJ
cana-1036	33	10	)	)	PUNCT
cana-1036	33	11	>	>	PUNCT
cana-1036	33	12	𝑆′(ℎ̃2	𝑆′(ℎ̃2	NOUN
cana-1036	33	13	)	)	PUNCT
cana-1036	33	14	then	then	ADV
cana-1036	33	15	ℎ̃1	ℎ̃1	PROPN
cana-1036	33	16	>	>	X
cana-1036	33	17	ℎ̃2	ℎ̃2	PROPN
cana-1036	33	18	(	(	PUNCT
cana-1036	33	19	ii	ii	PROPN
cana-1036	33	20	)	)	PUNCT
cana-1036	33	21	if	if	SCONJ
cana-1036	33	22	𝑆′(ℎ̃1	𝑆′(ℎ̃1	ADJ
cana-1036	33	23	)	)	PUNCT
cana-1036	33	24	=	=	SYM
cana-1036	33	25	𝑆′(ℎ̃2	𝑆′(ℎ̃2	NOUN
cana-1036	33	26	)	)	PUNCT
cana-1036	33	27	then	then	ADV
cana-1036	33	28	ℎ̃1	ℎ̃1	PROPN
cana-1036	33	29	=	=	PUNCT
cana-1036	33	30	ℎ̃2	ℎ̃2	PROPN
cana-1036	33	31	definition:2.3	definition:2.3	NOUN
cana-1036	33	32	let	let	VERB
cana-1036	33	33	ℎ̃𝐴1and	ℎ̃𝐴1and	VERB
cana-1036	33	34	ℎ̃𝐴1	ℎ̃𝐴1	VERB
cana-1036	33	35	be	be	AUX
cana-1036	33	36	two	two	NUM
cana-1036	33	37	h.f.e.s	h.f.e.s	PROPN
cana-1036	33	38	,	,	PUNCT
cana-1036	33	39	their	their	PRON
cana-1036	33	40	union	union	NOUN
cana-1036	33	41	&	&	CCONJ
cana-1036	33	42	intersection	intersection	NOUN
cana-1036	33	43	are	be	AUX
cana-1036	33	44	,	,	PUNCT
cana-1036	33	45	respectively	respectively	ADV
cana-1036	33	46	,	,	PUNCT
cana-1036	33	47	explained	explain	VERB
cana-1036	33	48	below	below	ADV
cana-1036	33	49	:	:	PUNCT
cana-1036	33	50	ℎ̃𝐴1	ℎ̃𝐴1	VERB
cana-1036	33	51	∪	∪	VERB
cana-1036	33	52	ℎ̃𝐴2	ℎ̃𝐴2	NOUN
cana-1036	33	53	=	=	PUNCT
cana-1036	33	54	⋃	⋃	PROPN
cana-1036	33	55	max⁡{∆𝐴1	max⁡{∆𝐴1	NOUN
cana-1036	33	56	,	,	PUNCT
cana-1036	33	57	∆𝐴2⁡∆𝐴1∈ℎ̃𝐴1	∆𝐴2⁡∆𝐴1∈ℎ̃𝐴1	ADV
cana-1036	33	58	,	,	PUNCT
cana-1036	33	59	∆𝐴2∈ℎ̃𝐴2	∆𝐴2∈ℎ̃𝐴2	NOUN
cana-1036	33	60	}	}	PUNCT
cana-1036	33	61	ℎ̃𝐴1	ℎ̃𝐴1	VERB
cana-1036	33	62	∩	∩	NOUN
cana-1036	33	63	ℎ̃𝐴2	ℎ̃𝐴2	NOUN
cana-1036	33	64	=	=	PUNCT
cana-1036	33	65	⋃	⋃	PROPN
cana-1036	33	66	min⁡{∆𝐴1	min⁡{∆𝐴1	PROPN
cana-1036	33	67	,	,	PUNCT
cana-1036	33	68	∆𝐴2	∆𝐴2	PROPN
cana-1036	33	69	⁡∆𝐴1∈ℎ̃𝐴1	⁡∆𝐴1∈ℎ̃𝐴1	X
cana-1036	33	70	,	,	PUNCT
cana-1036	33	71	∆𝐴2∈ℎ̃𝐴2	∆𝐴2∈ℎ̃𝐴2	NOUN
cana-1036	33	72	}	}	PUNCT
cana-1036	33	73	from	from	ADP
cana-1036	33	74	a	a	DET
cana-1036	33	75	mathematical	mathematical	ADJ
cana-1036	33	76	perspective	perspective	NOUN
cana-1036	33	77	,	,	PUNCT
cana-1036	33	78	for	for	ADP
cana-1036	33	79	any	any	DET
cana-1036	33	80	x	x	SYM
cana-1036	33	81	∈	∈	PROPN
cana-1036	33	82	x	x	NOUN
cana-1036	33	83	,	,	PUNCT
cana-1036	33	84	an	an	DET
cana-1036	33	85	h.f.e	h.f.e	NOUN
cana-1036	33	86	.	.	PUNCT
cana-1036	34	1	can	can	AUX
cana-1036	34	2	be	be	AUX
cana-1036	34	3	thought	think	VERB
cana-1036	34	4	of	of	ADP
cana-1036	34	5	as	as	ADP
cana-1036	34	6	the	the	DET
cana-1036	34	7	other	other	ADJ
cana-1036	34	8	well	well	ADV
cana-1036	34	9	-	-	PUNCT
cana-1036	34	10	known	know	VERB
cana-1036	34	11	extensions	extension	NOUN
cana-1036	34	12	of	of	ADP
cana-1036	34	13	fuzzy	fuzzy	ADJ
cana-1036	34	14	sets	set	NOUN
cana-1036	34	15	.	.	PUNCT
cana-1036	35	1	definition:2.4	definition:2.4	NOUN
cana-1036	35	2	let	let	VERB
cana-1036	35	3	x	x	PRON
cana-1036	35	4	be	be	AUX
cana-1036	35	5	a	a	DET
cana-1036	35	6	finite	finite	ADJ
cana-1036	35	7	set	set	NOUN
cana-1036	35	8	.	.	PUNCT
cana-1036	36	1	a	a	DET
cana-1036	36	2	triangular	triangular	NOUN
cana-1036	36	3	hesitant	hesitant	ADJ
cana-1036	36	4	fuzzy	fuzzy	ADJ
cana-1036	36	5	set	set	VERB
cana-1036	36	6	on	on	ADP
cana-1036	36	7	x	x	PUNCT
cana-1036	36	8	has	have	AUX
cana-1036	36	9	been	be	AUX
cana-1036	36	10	explained	explain	VERB
cana-1036	36	11	as	as	ADP
cana-1036	36	12	�	�	PROPN
cana-1036	36	13	̃	̃	PROPN
cana-1036	36	14	�	�	NOUN
cana-1036	36	15	=	=	SYM
cana-1036	36	16	{	{	PUNCT
cana-1036	36	17	{	{	PUNCT
cana-1036	36	18	𝑥	𝑥	NOUN
cana-1036	36	19	,	,	PUNCT
cana-1036	36	20	ℎ̃ƞ(𝑥)/𝑥	ℎ̃ƞ(𝑥)/𝑥	PROPN
cana-1036	36	21	∈	∈	PROPN
cana-1036	36	22	𝑋	𝑋	PROPN
cana-1036	36	23	}	}	PUNCT
cana-1036	36	24	where	where	SCONJ
cana-1036	36	25	⁡ℎ̃ƞ(𝑥	⁡ℎ̃ƞ(𝑥	NOUN
cana-1036	36	26	)	)	PUNCT
cana-1036	36	27	represents	represent	VERB
cana-1036	36	28	as	as	ADP
cana-1036	36	29	a	a	DET
cana-1036	36	30	set	set	NOUN
cana-1036	36	31	of	of	ADP
cana-1036	36	32	some	some	DET
cana-1036	36	33	triangular	triangular	NOUN
cana-1036	36	34	fuzzy	fuzzy	ADJ
cana-1036	36	35	numbers	number	NOUN
cana-1036	36	36	in	in	ADP
cana-1036	36	37	the	the	DET
cana-1036	36	38	set	set	NOUN
cana-1036	36	39	of	of	ADP
cana-1036	36	40	real	real	ADJ
cana-1036	36	41	numbers	number	NOUN
cana-1036	36	42	r	r	VERB
cana-1036	36	43	,	,	PUNCT
cana-1036	36	44	representing	represent	VERB
cana-1036	36	45	the	the	DET
cana-1036	36	46	possible	possible	ADJ
cana-1036	36	47	membership	membership	NOUN
cana-1036	36	48	function	function	NOUN
cana-1036	36	49	of	of	ADP
cana-1036	36	50	the	the	DET
cana-1036	36	51	element	element	NOUN
cana-1036	36	52	⁡𝑥	⁡𝑥	NOUN
cana-1036	36	53	∈	∈	PROPN
cana-1036	36	54	𝑋	𝑋	PROPN
cana-1036	36	55	,	,	PUNCT
cana-1036	36	56	ℎ̃ƞ(𝑥	ℎ̃ƞ(𝑥	NOUN
cana-1036	36	57	)	)	PUNCT
cana-1036	36	58	.	.	PUNCT
cana-1036	37	1	it	it	PRON
cana-1036	37	2	is	be	AUX
cana-1036	37	3	called	call	VERB
cana-1036	37	4	a	a	DET
cana-1036	37	5	t.h.f.e	t.h.f.e	PROPN
cana-1036	37	6	.	.	PUNCT
cana-1036	38	1	communications	communication	NOUN
cana-1036	38	2	on	on	ADP
cana-1036	38	3	applied	apply	VERB
cana-1036	38	4	nonlinear	nonlinear	ADJ
cana-1036	38	5	analysis	analysis	NOUN
cana-1036	38	6	issn	issn	NOUN
cana-1036	38	7	:	:	PUNCT
cana-1036	38	8	1074	1074	NUM
cana-1036	38	9	-	-	PUNCT
cana-1036	38	10	133x	133x	NUM
cana-1036	38	11	vol	vol	NOUN
cana-1036	38	12	31	31	NUM
cana-1036	38	13	no	no	NOUN
cana-1036	38	14	.	.	PUNCT
cana-1036	39	1	5s	5s	NUM
cana-1036	39	2	(	(	PUNCT
cana-1036	39	3	2024	2024	NUM
cana-1036	39	4	)	)	PUNCT
cana-1036	39	5	280	280	NUM
cana-1036	39	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1036	39	7	the	the	DET
cana-1036	39	8	tfn	tfn	NOUN
cana-1036	39	9	in	in	ADP
cana-1036	39	10	ℎ̃ƞ(𝑥	ℎ̃ƞ(𝑥	NOUN
cana-1036	39	11	)	)	PUNCT
cana-1036	39	12	has	have	AUX
cana-1036	39	13	been	be	AUX
cana-1036	39	14	represented	represent	VERB
cana-1036	39	15	as	as	ADP
cana-1036	39	16	ƕ	ƕ	NOUN
cana-1036	39	17	by	by	ADV
cana-1036	39	18	and	and	CCONJ
cana-1036	39	19	given	give	VERB
cana-1036	39	20	by	by	ADP
cana-1036	39	21	χ	χ	X
cana-1036	39	22	=	=	SYM
cana-1036	39	23	(	(	PUNCT
cana-1036	39	24	𝑎𝑖	𝑎𝑖	PROPN
cana-1036	39	25	,	,	PUNCT
cana-1036	39	26	𝑏𝑗	𝑏𝑗	PROPN
cana-1036	39	27	,	,	PUNCT
cana-1036	39	28	𝑐𝑘	𝑐𝑘	PROPN
cana-1036	39	29	)	)	PUNCT
cana-1036	39	30	,	,	PUNCT
cana-1036	39	31	where	where	SCONJ
cana-1036	39	32	χ∈	χ∈	PROPN
cana-1036	39	33	ƕ	ƕ	PRON
cana-1036	39	34	2.5	2.5	NUM
cana-1036	39	35	.	.	PUNCT
cana-1036	40	1	some	some	DET
cana-1036	40	2	basic	basic	ADJ
cana-1036	40	3	operations	operation	NOUN
cana-1036	40	4	of	of	ADP
cana-1036	40	5	triangular	triangular	NOUN
cana-1036	40	6	hesitant	hesitant	ADJ
cana-1036	40	7	fuzzy	fuzzy	ADJ
cana-1036	40	8	numbers	number	NOUN
cana-1036	40	9	(	(	PUNCT
cana-1036	40	10	t.h.f.n.s	t.h.f.n.	NOUN
cana-1036	40	11	)	)	PUNCT
cana-1036	40	12	suppose	suppose	VERB
cana-1036	40	13	ƕ	ƕ	NOUN
cana-1036	40	14	,	,	PUNCT
cana-1036	40	15	ƕ1	ƕ1	NOUN
cana-1036	40	16	,	,	PUNCT
cana-1036	40	17	ƕ2	ƕ2	NOUN
cana-1036	40	18	be	be	AUX
cana-1036	40	19	three	three	NUM
cana-1036	40	20	t.h.f.e	t.h.f.e	PROPN
cana-1036	40	21	and	and	CCONJ
cana-1036	40	22	𝝀	𝝀	VERB
cana-1036	40	23	>	>	X
cana-1036	40	24	0	0	NUM
cana-1036	40	25	,	,	PUNCT
cana-1036	40	26	then	then	ADV
cana-1036	40	27	1	1	X
cana-1036	40	28	.	.	PUNCT
cana-1036	40	29	𝝀	𝝀	PRON
cana-1036	40	30	ƕ	ƕ	X
cana-1036	40	31	=	=	X
cana-1036	40	32	⋃	⋃	NOUN
cana-1036	40	33	⁡{(λ𝑎𝑖	⁡{(λ𝑎𝑖	NOUN
cana-1036	40	34	+	+	CCONJ
cana-1036	41	1	λ⁡𝑏𝑗	λ⁡𝑏𝑗	PROPN
cana-1036	41	2	+	+	NUM
cana-1036	41	3	λ𝑐𝑘)⁡χ∈⁡ƕ	λ𝑐𝑘)⁡χ∈⁡ƕ	X
cana-1036	41	4	}	}	SYM
cana-1036	41	5	2	2	NUM
cana-1036	41	6	.	.	X
cana-1036	42	1	ƕ1	ƕ1	NOUN
cana-1036	42	2	⊕ƕ2	⊕ƕ2	PART
cana-1036	42	3	=	=	SYM
cana-1036	42	4	⋃	⋃	NOUN
cana-1036	42	5	⁡{⁡χ1∈ƕ1,χ2∈ƕ2	⁡{⁡χ1∈ƕ1,χ2∈ƕ2	NOUN
cana-1036	42	6	𝑎1	𝑎1	X
cana-1036	42	7	𝑖	𝑖	PUNCT
cana-1036	43	1	+	+	NOUN
cana-1036	43	2	𝑎2	𝑎2	NOUN
cana-1036	43	3	𝑖	𝑖	SYM
cana-1036	43	4	,	,	PUNCT
cana-1036	43	5	𝑏1	𝑏1	VERB
cana-1036	43	6	𝑗	𝑗	NOUN
cana-1036	44	1	+	+	X
cana-1036	44	2	𝑏2	𝑏2	PROPN
cana-1036	44	3	𝑗	𝑗	NOUN
cana-1036	44	4	,	,	PUNCT
cana-1036	44	5	𝑐1	𝑐1	NOUN
cana-1036	44	6	𝑘	𝑘	X
cana-1036	44	7	+	+	NOUN
cana-1036	44	8	𝑐2	𝑐2	NOUN
cana-1036	44	9	𝑘	𝑘	NOUN
cana-1036	44	10	}	}	PUNCT
cana-1036	44	11	3	3	NUM
cana-1036	44	12	.	.	PUNCT
cana-1036	45	1	ƕ1	ƕ1	NUM
cana-1036	45	2	⊗ƕ2	⊗ƕ2	PROPN
cana-1036	45	3	=	=	PUNCT
cana-1036	45	4	⋃	⋃	NOUN
cana-1036	45	5	⁡{⁡χ1∈ƕ1,χ2∈ƕ2	⁡{⁡χ1∈ƕ1,χ2∈ƕ2	NOUN
cana-1036	45	6	𝑎1	𝑎1	X
cana-1036	45	7	𝑖𝑎2	𝑖𝑎2	NOUN
cana-1036	45	8	𝑖	𝑖	X
cana-1036	45	9	,	,	PUNCT
cana-1036	45	10	𝑏1	𝑏1	VERB
cana-1036	45	11	𝑗	𝑗	PROPN
cana-1036	45	12	𝑏2	𝑏2	PROPN
cana-1036	45	13	𝑗	𝑗	NOUN
cana-1036	45	14	,	,	PUNCT
cana-1036	45	15	𝑐1	𝑐1	NOUN
cana-1036	45	16	𝑘𝑐2	𝑘𝑐2	NOUN
cana-1036	45	17	𝑘	𝑘	PRON
cana-1036	45	18	}	}	PUNCT
cana-1036	45	19	4	4	NUM
cana-1036	45	20	.	.	PUNCT
cana-1036	46	1	ƕ𝑐	ƕ𝑐	NOUN
cana-1036	46	2	=	=	SYM
cana-1036	47	1	⋃	⋃	ADP
cana-1036	47	2	⁡{(1	⁡{(1	PROPN
cana-1036	47	3	−	−	PROPN
cana-1036	47	4	𝑎𝑖	𝑎𝑖	PROPN
cana-1036	47	5	,	,	PUNCT
cana-1036	47	6	1	1	NUM
cana-1036	47	7	−⁡𝑏𝑗	−⁡𝑏𝑗	PROPN
cana-1036	47	8	,	,	PUNCT
cana-1036	47	9	1	1	NUM
cana-1036	47	10	−	−	PROPN
cana-1036	47	11	λ𝑐𝑘)⁡χ∈⁡ƕ	λ𝑐𝑘)⁡χ∈⁡ƕ	CCONJ
cana-1036	47	12	}	}	SYM
cana-1036	47	13	5	5	NUM
cana-1036	47	14	.	.	PUNCT
cana-1036	47	15	ƕ1	ƕ1	ADJ
cana-1036	47	16	∪ƕ2	∪ƕ2	NOUN
cana-1036	47	17	=	=	SYM
cana-1036	47	18	⋃	⋃	X
cana-1036	47	19	{	{	PUNCT
cana-1036	47	20	𝑚𝑎𝑥⁡{𝑎1	𝑚𝑎𝑥⁡{𝑎1	PROPN
cana-1036	47	21	𝑖	𝑖	NOUN
cana-1036	47	22	,	,	PUNCT
cana-1036	47	23	𝑎2	𝑎2	NOUN
cana-1036	47	24	𝑖	𝑖	SYM
cana-1036	47	25	⁡χ1∈ƕ1,χ2∈ƕ2	⁡χ1∈ƕ1,χ2∈ƕ2	NOUN
cana-1036	47	26	}	}	PUNCT
cana-1036	47	27	,	,	PUNCT
cana-1036	47	28	𝑚𝑎𝑥⁡{𝑏1	𝑚𝑎𝑥⁡{𝑏1	VERB
cana-1036	47	29	𝑗	𝑗	INTJ
cana-1036	47	30	,	,	PUNCT
cana-1036	47	31	𝑏2	𝑏2	PROPN
cana-1036	47	32	𝑗	𝑗	PROPN
cana-1036	47	33	}	}	PUNCT
cana-1036	47	34	,	,	PUNCT
cana-1036	47	35	𝑚𝑎𝑥⁡{𝑐1	𝑚𝑎𝑥⁡{𝑐1	X
cana-1036	47	36	𝑘	𝑘	ADP
cana-1036	47	37	,	,	PUNCT
cana-1036	47	38	𝑐2	𝑐2	NOUN
cana-1036	47	39	𝑘	𝑘	X
cana-1036	47	40	}	}	PUNCT
cana-1036	47	41	}	}	PUNCT
cana-1036	47	42	6	6	NUM
cana-1036	47	43	.	.	PUNCT
cana-1036	48	1	ƕ1	ƕ1	NUM
cana-1036	48	2	∩ƕ2	∩ƕ2	NOUN
cana-1036	48	3	=	=	PUNCT
cana-1036	48	4	⋃	⋃	NOUN
cana-1036	48	5	{	{	PUNCT
cana-1036	48	6	𝑚𝑖𝑛⁡{𝑎1	𝑚𝑖𝑛⁡{𝑎1	PROPN
cana-1036	48	7	𝑖	𝑖	X
cana-1036	48	8	,	,	PUNCT
cana-1036	48	9	𝑎2	𝑎2	NOUN
cana-1036	48	10	𝑖	𝑖	SYM
cana-1036	48	11	⁡χ1∈ƕ1,χ2∈ƕ2	⁡χ1∈ƕ1,χ2∈ƕ2	NOUN
cana-1036	48	12	}	}	PUNCT
cana-1036	48	13	,	,	PUNCT
cana-1036	48	14	𝑚𝑖𝑛⁡{𝑏1	𝑚𝑖𝑛⁡{𝑏1	X
cana-1036	48	15	𝑗	𝑗	INTJ
cana-1036	48	16	,	,	PUNCT
cana-1036	48	17	𝑏2	𝑏2	PROPN
cana-1036	48	18	𝑗	𝑗	PROPN
cana-1036	48	19	}	}	PUNCT
cana-1036	48	20	,	,	PUNCT
cana-1036	48	21	𝑚𝑖𝑛⁡{𝑐1	𝑚𝑖𝑛⁡{𝑐1	X
cana-1036	48	22	𝑘	𝑘	NOUN
cana-1036	48	23	,	,	PUNCT
cana-1036	48	24	𝑐2	𝑐2	NOUN
cana-1036	48	25	𝑘	𝑘	X
cana-1036	48	26	}	}	PUNCT
cana-1036	48	27	}	}	PUNCT
cana-1036	48	28	3	3	X
cana-1036	48	29	.	.	PUNCT
cana-1036	49	1	methods	method	NOUN
cana-1036	49	2	ranking	rank	VERB
cana-1036	49	3	approach	approach	NOUN
cana-1036	49	4	of	of	ADP
cana-1036	49	5	triangular	triangular	NOUN
cana-1036	49	6	hesitant	hesitant	ADJ
cana-1036	49	7	fuzzy	fuzzy	ADJ
cana-1036	49	8	set	set	VERB
cana-1036	49	9	definition:3.1	definition:3.1	PROPN
cana-1036	49	10	(	(	PUNCT
cana-1036	49	11	existing	exist	VERB
cana-1036	49	12	approach	approach	NOUN
cana-1036	49	13	)	)	PUNCT
cana-1036	49	14	the	the	DET
cana-1036	49	15	t.h.f.e	t.h.f.e	PROPN
cana-1036	49	16	is	be	AUX
cana-1036	49	17	denoted	denote	VERB
cana-1036	49	18	as	as	ADP
cana-1036	49	19	ƕ	ƕ	NOUN
cana-1036	49	20	,	,	PUNCT
cana-1036	49	21	and	and	CCONJ
cana-1036	49	22	the	the	DET
cana-1036	49	23	expected	expect	VERB
cana-1036	49	24	value	value	NOUN
cana-1036	49	25	is	be	AUX
cana-1036	49	26	defined	define	VERB
cana-1036	49	27	as	as	ADP
cana-1036	49	28	e(ƕ	e(ƕ	PROPN
cana-1036	49	29	)	)	PUNCT
cana-1036	49	30	=	=	PUNCT
cana-1036	50	1	⁡	⁡	ADP
cana-1036	50	2	1	1	NUM
cana-1036	50	3	3∗ƕ	3∗ƕ	NUM
cana-1036	50	4	∑	∑	PUNCT
cana-1036	50	5	(	(	PUNCT
cana-1036	50	6	𝜒∗ƕ	𝜒∗ƕ	X
cana-1036	50	7	𝑎𝑖+𝑏𝑗	𝑎𝑖+𝑏𝑗	NUM
cana-1036	50	8	+	+	NOUN
cana-1036	50	9	⁡𝑐𝑘	⁡𝑐𝑘	X
cana-1036	50	10	)	)	PUNCT
cana-1036	50	11	,	,	PUNCT
cana-1036	50	12	where	where	SCONJ
cana-1036	50	13	ƕ	ƕ	X
cana-1036	50	14	as	as	ADP
cana-1036	50	15	number	number	NOUN
cana-1036	50	16	of	of	ADP
cana-1036	50	17	tfn	tfn	NOUN
cana-1036	50	18	in	in	ADP
cana-1036	50	19	ƕ	ƕ	PROPN
cana-1036	50	20	.	.	NOUN
cana-1036	50	21	definition:3.2	definition:3.2	NOUN
cana-1036	50	22	(	(	PUNCT
cana-1036	50	23	mid	mid	ADJ
cana-1036	50	24	value	value	NOUN
cana-1036	50	25	ranking	ranking	NOUN
cana-1036	50	26	)	)	PUNCT
cana-1036	50	27	the	the	DET
cana-1036	50	28	t.h.f.e	t.h.f.e	PROPN
cana-1036	50	29	is	be	AUX
cana-1036	50	30	denoted	denote	VERB
cana-1036	50	31	as	as	ADP
cana-1036	50	32	ƕ	ƕ	NOUN
cana-1036	50	33	,	,	PUNCT
cana-1036	50	34	and	and	CCONJ
cana-1036	50	35	the	the	DET
cana-1036	50	36	expected	expect	VERB
cana-1036	50	37	value	value	NOUN
cana-1036	50	38	is	be	AUX
cana-1036	50	39	defined	define	VERB
cana-1036	50	40	as	as	ADP
cana-1036	50	41	e(ƕ	e(ƕ	PROPN
cana-1036	50	42	)	)	PUNCT
cana-1036	50	43	=	=	PUNCT
cana-1036	51	1	⁡	⁡	ADP
cana-1036	51	2	1	1	NUM
cana-1036	51	3	3∗ƕ	3∗ƕ	NUM
cana-1036	51	4	∑	∑	PRON
cana-1036	51	5	(	(	PUNCT
cana-1036	51	6	𝑎𝑖+𝑏𝑗+𝑐𝑘⁡	𝑎𝑖+𝑏𝑗+𝑐𝑘⁡	NOUN
cana-1036	51	7	3	3	NUM
cana-1036	51	8	)	)	PUNCT
cana-1036	51	9	𝜒∗ƕ	𝜒∗ƕ	PUNCT
cana-1036	51	10	,	,	PUNCT
cana-1036	51	11	where	where	SCONJ
cana-1036	51	12	ƕ	ƕ	X
cana-1036	51	13	as	as	ADP
cana-1036	51	14	number	number	NOUN
cana-1036	51	15	of	of	ADP
cana-1036	51	16	tfn	tfn	NOUN
cana-1036	51	17	in	in	ADP
cana-1036	51	18	ƕ	ƕ	NOUN
cana-1036	51	19	.	.	PUNCT
cana-1036	52	1	this	this	DET
cana-1036	52	2	ranking	ranking	NOUN
cana-1036	52	3	is	be	AUX
cana-1036	52	4	called	call	VERB
cana-1036	52	5	mid	mid	ADJ
cana-1036	52	6	-	-	ADJ
cana-1036	52	7	value	value	ADJ
cana-1036	52	8	ranking	ranking	NOUN
cana-1036	52	9	.	.	PUNCT
cana-1036	53	1	theorem:3.3	theorem:3.3	NOUN
cana-1036	53	2	let	let	VERB
cana-1036	53	3	ƕ	ƕ	NOUN
cana-1036	53	4	be	be	AUX
cana-1036	53	5	any	any	PRON
cana-1036	53	6	hesitant	hesitant	ADJ
cana-1036	53	7	triangular	triangular	NOUN
cana-1036	53	8	fuzzy	fuzzy	ADJ
cana-1036	53	9	element	element	NOUN
cana-1036	53	10	,	,	PUNCT
cana-1036	53	11	and	and	CCONJ
cana-1036	53	12	their	their	PRON
cana-1036	53	13	alpha	alpha	NOUN
cana-1036	53	14	cut	cut	NOUN
cana-1036	53	15	be	be	AUX
cana-1036	53	16	denoted	denote	VERB
cana-1036	53	17	as	as	ADP
cana-1036	53	18	ƕ1𝑙	ƕ1𝑙	NOUN
cana-1036	53	19	=	=	NOUN
cana-1036	54	1	𝑎1	𝑎1	NOUN
cana-1036	54	2	+	+	CCONJ
cana-1036	54	3	𝛼(𝑎2	𝛼(𝑎2	NOUN
cana-1036	54	4	−	−	NOUN
cana-1036	54	5	𝑎1	𝑎1	PROPN
cana-1036	54	6	)	)	PUNCT
cana-1036	54	7	and	and	CCONJ
cana-1036	54	8	ƕ1𝑟	ƕ1𝑟	PROPN
cana-1036	54	9	=	=	SYM
cana-1036	55	1	𝑎3	𝑎3	PROPN
cana-1036	55	2	−	−	PROPN
cana-1036	55	3	𝛼(𝑎3	𝛼(𝑎3	NOUN
cana-1036	55	4	−	−	PROPN
cana-1036	55	5	𝑎2	𝑎2	PROPN
cana-1036	55	6	)	)	PUNCT
cana-1036	55	7	then	then	ADV
cana-1036	55	8	e(ƕ	e(ƕ	PROPN
cana-1036	55	9	)	)	PUNCT
cana-1036	56	1	=	=	PUNCT
cana-1036	56	2	⁡	⁡	ADP
cana-1036	56	3	1	1	NUM
cana-1036	56	4	3∗ƕ	3∗ƕ	NUM
cana-1036	56	5	∑	∑	PRON
cana-1036	56	6	(	(	PUNCT
cana-1036	56	7	𝑎𝑖+𝑏𝑗+𝑐𝑘⁡	𝑎𝑖+𝑏𝑗+𝑐𝑘⁡	NOUN
cana-1036	56	8	3	3	NUM
cana-1036	56	9	)	)	PUNCT
cana-1036	56	10	𝜒∗ƕ	𝜒∗ƕ	PUNCT
cana-1036	56	11	.	.	PUNCT
cana-1036	57	1	proof	proof	NOUN
cana-1036	57	2	:	:	PUNCT
cana-1036	57	3	let	let	VERB
cana-1036	57	4	us	we	PRON
cana-1036	57	5	consider	consider	VERB
cana-1036	57	6	e(ƕ	e(ƕ	PROPN
cana-1036	57	7	)	)	PUNCT
cana-1036	58	1	=	=	PRON
cana-1036	58	2	⁡	⁡	PROPN
cana-1036	58	3	1	1	NUM
cana-1036	58	4	3∗ƕ	3∗ƕ	NUM
cana-1036	58	5	∑	∑	ADV
cana-1036	58	6	𝑀𝜇(𝜒∗ƕ	𝑀𝜇(𝜒∗ƕ	PROPN
cana-1036	58	7	ћ	ћ	PRON
cana-1036	58	8	)	)	PUNCT
cana-1036	58	9	(	(	PUNCT
cana-1036	58	10	1	1	X
cana-1036	58	11	)	)	PUNCT
cana-1036	58	12	where	where	SCONJ
cana-1036	58	13	ƕ	ƕ	X
cana-1036	58	14	=	=	SYM
cana-1036	58	15	number	number	NOUN
cana-1036	58	16	of	of	ADP
cana-1036	58	17	triangular	triangular	NOUN
cana-1036	58	18	hesitant	hesitant	ADJ
cana-1036	58	19	fuzzy	fuzzy	ADJ
cana-1036	58	20	set	set	VERB
cana-1036	58	21	i=1,2,	i=1,2,	NOUN
cana-1036	58	22	…	…	PUNCT
cana-1036	58	23	.,n	.,n	NUM
cana-1036	58	24	;	;	PUNCT
cana-1036	58	25	j	j	PROPN
cana-1036	58	26	=	=	SYM
cana-1036	58	27	1,2,	1,2,	NUM
cana-1036	58	28	…	…	PUNCT
cana-1036	58	29	..	..	PUNCT
cana-1036	58	30	,n	,n	NOUN
cana-1036	58	31	;	;	PUNCT
cana-1036	58	32	k	k	PROPN
cana-1036	58	33	=	=	SYM
cana-1036	58	34	1,2,	1,2,	NUM
cana-1036	58	35	…	…	PUNCT
cana-1036	58	36	.,n	.,n	PUNCT
cana-1036	58	37	where	where	SCONJ
cana-1036	58	38	𝑀𝜇(ћ	𝑀𝜇(ћ	VERB
cana-1036	58	39	)	)	PUNCT
cana-1036	58	40	=	=	SYM
cana-1036	58	41	1	1	NUM
cana-1036	58	42	2	2	NUM
cana-1036	58	43	∫	∫	NOUN
cana-1036	58	44	{	{	PUNCT
cana-1036	58	45	[	[	PUNCT
cana-1036	58	46	1	1	NUM
cana-1036	58	47	0	0	NUM
cana-1036	58	48	𝑎𝑖	𝑎𝑖	NOUN
cana-1036	58	49	+	+	X
cana-1036	58	50	(	(	PUNCT
cana-1036	58	51	𝛼(𝑏𝑗	𝛼(𝑏𝑗	NUM
cana-1036	58	52	−	−	PROPN
cana-1036	58	53	𝑎𝑖))𝛼	𝑎𝑖))𝛼	PROPN
cana-1036	58	54	]	]	X
cana-1036	59	1	+	+	CCONJ
cana-1036	59	2	[	[	X
cana-1036	59	3	𝑐𝑘	𝑐𝑘	X
cana-1036	59	4	−	−	PROPN
cana-1036	59	5	(	(	PUNCT
cana-1036	59	6	𝛼(𝑐𝑘	𝛼(𝑐𝑘	NOUN
cana-1036	59	7	−	−	PROPN
cana-1036	59	8	𝑏𝑗))𝛼	𝑏𝑗))𝛼	PROPN
cana-1036	59	9	}	}	PUNCT
cana-1036	59	10	𝑑𝛼	𝑑𝛼	NOUN
cana-1036	59	11	after	after	ADP
cana-1036	59	12	simplification	simplification	NOUN
cana-1036	59	13	,	,	PUNCT
cana-1036	59	14	we	we	PRON
cana-1036	59	15	get	get	VERB
cana-1036	59	16	𝑀𝜇(ћ	𝑀𝜇(ћ	NOUN
cana-1036	59	17	)	)	PUNCT
cana-1036	59	18	=	=	SYM
cana-1036	59	19	𝑎𝑖+𝑏𝑗+𝑐𝑘⁡	𝑎𝑖+𝑏𝑗+𝑐𝑘⁡	NOUN
cana-1036	59	20	3	3	NUM
cana-1036	59	21	(	(	PUNCT
cana-1036	59	22	2	2	NUM
cana-1036	59	23	)	)	PUNCT
cana-1036	59	24	communications	communication	NOUN
cana-1036	59	25	on	on	ADP
cana-1036	59	26	applied	apply	VERB
cana-1036	59	27	nonlinear	nonlinear	ADJ
cana-1036	59	28	analysis	analysis	NOUN
cana-1036	59	29	issn	issn	NOUN
cana-1036	59	30	:	:	PUNCT
cana-1036	59	31	1074	1074	NUM
cana-1036	59	32	-	-	PUNCT
cana-1036	59	33	133x	133x	NUM
cana-1036	59	34	vol	vol	NOUN
cana-1036	59	35	31	31	NUM
cana-1036	59	36	no	no	NOUN
cana-1036	59	37	.	.	PUNCT
cana-1036	60	1	5s	5s	NUM
cana-1036	60	2	(	(	PUNCT
cana-1036	60	3	2024	2024	NUM
cana-1036	60	4	)	)	PUNCT
cana-1036	60	5	281	281	NUM
cana-1036	60	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1036	60	7	now	now	ADV
cana-1036	60	8	substitute	substitute	NOUN
cana-1036	60	9	equation	equation	NOUN
cana-1036	60	10	(	(	PUNCT
cana-1036	60	11	2	2	NUM
cana-1036	60	12	)	)	PUNCT
cana-1036	60	13	in	in	ADP
cana-1036	60	14	(	(	PUNCT
cana-1036	60	15	1	1	X
cana-1036	60	16	)	)	PUNCT
cana-1036	60	17	we	we	PRON
cana-1036	60	18	get	get	VERB
cana-1036	60	19	e(ƕ	e(ƕ	PROPN
cana-1036	60	20	)	)	PUNCT
cana-1036	61	1	=	=	PRON
cana-1036	61	2	⁡	⁡	PROPN
cana-1036	61	3	1	1	NUM
cana-1036	61	4	3∗ƕ	3∗ƕ	NUM
cana-1036	61	5	∑	∑	PRON
cana-1036	61	6	(	(	PUNCT
cana-1036	61	7	𝑎𝑖+𝑏𝑗+𝑐𝑘⁡	𝑎𝑖+𝑏𝑗+𝑐𝑘⁡	NOUN
cana-1036	61	8	3	3	NUM
cana-1036	61	9	)	)	PUNCT
cana-1036	61	10	𝜒∗ƕ	𝜒∗ƕ	NUM
cana-1036	61	11	definition:3.4	definition:3.4	NOUN
cana-1036	61	12	(	(	PUNCT
cana-1036	61	13	ambiguity	ambiguity	NOUN
cana-1036	61	14	ranking	ranking	NOUN
cana-1036	61	15	)	)	PUNCT
cana-1036	61	16	the	the	DET
cana-1036	61	17	t.h.f.e	t.h.f.e	PROPN
cana-1036	61	18	is	be	AUX
cana-1036	61	19	denoted	denote	VERB
cana-1036	61	20	as	as	ADP
cana-1036	61	21	ƕ	ƕ	NOUN
cana-1036	61	22	,	,	PUNCT
cana-1036	61	23	and	and	CCONJ
cana-1036	61	24	the	the	DET
cana-1036	61	25	expected	expect	VERB
cana-1036	61	26	value	value	NOUN
cana-1036	61	27	explained	explain	VERB
cana-1036	61	28	as	as	ADP
cana-1036	61	29	e(ƕ	e(ƕ	PROPN
cana-1036	61	30	)	)	PUNCT
cana-1036	61	31	=	=	PUNCT
cana-1036	62	1	⁡	⁡	ADP
cana-1036	62	2	1	1	NUM
cana-1036	62	3	3∗ƕ	3∗ƕ	NUM
cana-1036	62	4	∑	∑	PRON
cana-1036	62	5	(	(	PUNCT
cana-1036	62	6	𝑎𝑖+4𝑏𝑗+𝑐𝑘⁡	𝑎𝑖+4𝑏𝑗+𝑐𝑘⁡	PROPN
cana-1036	62	7	6	6	NUM
cana-1036	62	8	)	)	PUNCT
cana-1036	62	9	𝜒∗ƕ	𝜒∗ƕ	PUNCT
cana-1036	62	10	,	,	PUNCT
cana-1036	62	11	where	where	SCONJ
cana-1036	62	12	ƕ	ƕ	X
cana-1036	62	13	is	be	AUX
cana-1036	62	14	the	the	DET
cana-1036	62	15	number	number	NOUN
cana-1036	62	16	of	of	ADP
cana-1036	62	17	tfn	tfn	NOUN
cana-1036	62	18	in	in	ADP
cana-1036	62	19	ƕ	ƕ	NOUN
cana-1036	62	20	.	.	PUNCT
cana-1036	63	1	the	the	DET
cana-1036	63	2	above	above	ADJ
cana-1036	63	3	ranking	ranking	NOUN
cana-1036	63	4	is	be	AUX
cana-1036	63	5	called	call	VERB
cana-1036	63	6	ambiguity	ambiguity	NOUN
cana-1036	63	7	ranking	ranking	NOUN
cana-1036	63	8	.	.	PUNCT
cana-1036	64	1	theorem:3.5	theorem:3.5	PROPN
cana-1036	64	2	let	let	VERB
cana-1036	64	3	ƕ	ƕ	NOUN
cana-1036	64	4	be	be	AUX
cana-1036	64	5	any	any	PRON
cana-1036	64	6	hesitant	hesitant	ADJ
cana-1036	64	7	triangular	triangular	NOUN
cana-1036	64	8	fuzzy	fuzzy	ADJ
cana-1036	64	9	element	element	NOUN
cana-1036	64	10	,	,	PUNCT
cana-1036	64	11	and	and	CCONJ
cana-1036	64	12	their	their	PRON
cana-1036	64	13	alpha	alpha	NOUN
cana-1036	64	14	cut	cut	NOUN
cana-1036	64	15	be	be	AUX
cana-1036	64	16	denoted	denote	VERB
cana-1036	64	17	as	as	ADP
cana-1036	64	18	ƕ1𝑙	ƕ1𝑙	NOUN
cana-1036	64	19	=	=	NOUN
cana-1036	65	1	𝑎1	𝑎1	NOUN
cana-1036	65	2	+	+	CCONJ
cana-1036	65	3	𝛼(𝑎2	𝛼(𝑎2	NOUN
cana-1036	65	4	−	−	NOUN
cana-1036	65	5	𝑎1	𝑎1	PROPN
cana-1036	65	6	)	)	PUNCT
cana-1036	65	7	and	and	CCONJ
cana-1036	65	8	ƕ1𝑟	ƕ1𝑟	PROPN
cana-1036	65	9	=	=	SYM
cana-1036	66	1	𝑎3	𝑎3	PROPN
cana-1036	66	2	−	−	PROPN
cana-1036	66	3	𝛼(𝑎3	𝛼(𝑎3	NOUN
cana-1036	66	4	−	−	PROPN
cana-1036	66	5	𝑎2	𝑎2	PROPN
cana-1036	66	6	)	)	PUNCT
cana-1036	66	7	then	then	ADV
cana-1036	66	8	e(ƕ	e(ƕ	PROPN
cana-1036	66	9	)	)	PUNCT
cana-1036	66	10	=	=	SYM
cana-1036	66	11	1	1	NUM
cana-1036	66	12	3∗ƕ	3∗ƕ	NUM
cana-1036	66	13	∑	∑	PRON
cana-1036	66	14	(	(	PUNCT
cana-1036	66	15	𝑎𝑖+4𝑏𝑗+𝑐𝑘⁡	𝑎𝑖+4𝑏𝑗+𝑐𝑘⁡	PROPN
cana-1036	66	16	6	6	NUM
cana-1036	66	17	)	)	PUNCT
cana-1036	66	18	𝜒∗ƕ	𝜒∗ƕ	PUNCT
cana-1036	66	19	.	.	PUNCT
cana-1036	67	1	proof	proof	NOUN
cana-1036	67	2	:	:	PUNCT
cana-1036	67	3	let	let	VERB
cana-1036	67	4	us	we	PRON
cana-1036	67	5	consider	consider	VERB
cana-1036	67	6	e(ƕ	e(ƕ	PROPN
cana-1036	67	7	)	)	PUNCT
cana-1036	68	1	=	=	PRON
cana-1036	68	2	⁡	⁡	PROPN
cana-1036	68	3	1	1	NUM
cana-1036	68	4	3∗ƕ	3∗ƕ	NUM
cana-1036	68	5	∑	∑	ADV
cana-1036	68	6	𝐴𝜇(𝜒∗ƕ	𝐴𝜇(𝜒∗ƕ	PROPN
cana-1036	68	7	ћ	ћ	PRON
cana-1036	68	8	)	)	PUNCT
cana-1036	68	9	(	(	PUNCT
cana-1036	68	10	1	1	X
cana-1036	68	11	)	)	PUNCT
cana-1036	68	12	where	where	SCONJ
cana-1036	68	13	ƕ	ƕ	X
cana-1036	68	14	=	=	SYM
cana-1036	68	15	number	number	NOUN
cana-1036	68	16	of	of	ADP
cana-1036	68	17	triangular	triangular	NOUN
cana-1036	68	18	hesitant	hesitant	ADJ
cana-1036	68	19	fuzzy	fuzzy	ADJ
cana-1036	68	20	set	set	VERB
cana-1036	68	21	i=1,2,	i=1,2,	NOUN
cana-1036	68	22	…	…	PUNCT
cana-1036	68	23	.,n	.,n	NUM
cana-1036	68	24	;	;	PUNCT
cana-1036	68	25	j	j	PROPN
cana-1036	68	26	=	=	SYM
cana-1036	68	27	1,2,	1,2,	NUM
cana-1036	68	28	…	…	PUNCT
cana-1036	68	29	..	..	PUNCT
cana-1036	68	30	,n	,n	NOUN
cana-1036	68	31	;	;	PUNCT
cana-1036	68	32	k	k	PROPN
cana-1036	68	33	=	=	SYM
cana-1036	68	34	1,2,	1,2,	NUM
cana-1036	68	35	…	…	PUNCT
cana-1036	68	36	.,n	.,n	PUNCT
cana-1036	68	37	where	where	SCONJ
cana-1036	68	38	𝑀𝜇(ћ	𝑀𝜇(ћ	VERB
cana-1036	68	39	)	)	PUNCT
cana-1036	68	40	=	=	SYM
cana-1036	68	41	∫	∫	NOUN
cana-1036	68	42	{	{	PUNCT
cana-1036	69	1	[	[	X
cana-1036	69	2	ƕ1𝑙	ƕ1𝑙	NOUN
cana-1036	69	3	−ƕ1𝑟	−ƕ1𝑟	X
cana-1036	69	4	]	]	X
cana-1036	69	5	1	1	NUM
cana-1036	69	6	0	0	NUM
cana-1036	69	7	⁡𝑓(𝛼)𝑑𝛼	⁡𝑓(𝛼)𝑑𝛼	PROPN
cana-1036	69	8	=	=	SYM
cana-1036	69	9	∫	∫	PROPN
cana-1036	69	10	{	{	PUNCT
cana-1036	69	11	[	[	PUNCT
cana-1036	69	12	1	1	NUM
cana-1036	69	13	0	0	NUM
cana-1036	69	14	𝑎𝑖	𝑎𝑖	ADP
cana-1036	69	15	+	+	CCONJ
cana-1036	69	16	𝛼(𝑏𝑗	𝛼(𝑏𝑗	NUM
cana-1036	69	17	−	−	PROPN
cana-1036	69	18	𝑎𝑖	𝑎𝑖	NOUN
cana-1036	69	19	)	)	PUNCT
cana-1036	69	20	]	]	PUNCT
cana-1036	70	1	+	+	CCONJ
cana-1036	70	2	[	[	X
cana-1036	70	3	𝑐𝑘	𝑐𝑘	X
cana-1036	70	4	−	−	PROPN
cana-1036	70	5	𝛼(𝑐𝑘	𝛼(𝑐𝑘	NOUN
cana-1036	70	6	−	−	PROPN
cana-1036	70	7	𝑏𝑗	𝑏𝑗	NOUN
cana-1036	70	8	)	)	PUNCT
cana-1036	70	9	}	}	PUNCT
cana-1036	70	10	𝛼𝑑𝛼	𝛼𝑑𝛼	NOUN
cana-1036	70	11	after	after	ADP
cana-1036	70	12	simplification	simplification	NOUN
cana-1036	70	13	,	,	PUNCT
cana-1036	70	14	we	we	PRON
cana-1036	70	15	get	get	VERB
cana-1036	70	16	𝑀𝜇(ћ	𝑀𝜇(ћ	NOUN
cana-1036	70	17	)	)	PUNCT
cana-1036	70	18	=	=	SYM
cana-1036	70	19	𝑎𝑖+4𝑏𝑗+𝑐𝑘⁡	𝑎𝑖+4𝑏𝑗+𝑐𝑘⁡	PROPN
cana-1036	70	20	6	6	NUM
cana-1036	70	21	(	(	PUNCT
cana-1036	70	22	2	2	NUM
cana-1036	70	23	)	)	PUNCT
cana-1036	70	24	now	now	ADV
cana-1036	70	25	substitute	substitute	NOUN
cana-1036	70	26	equation	equation	NOUN
cana-1036	70	27	(	(	PUNCT
cana-1036	70	28	2	2	NUM
cana-1036	70	29	)	)	PUNCT
cana-1036	70	30	in	in	ADP
cana-1036	70	31	(	(	PUNCT
cana-1036	70	32	1	1	X
cana-1036	70	33	)	)	PUNCT
cana-1036	70	34	we	we	PRON
cana-1036	70	35	get	get	VERB
cana-1036	70	36	e(ƕ	e(ƕ	PROPN
cana-1036	70	37	)	)	PUNCT
cana-1036	71	1	=	=	PRON
cana-1036	71	2	⁡	⁡	PROPN
cana-1036	71	3	1	1	NUM
cana-1036	71	4	3∗ƕ	3∗ƕ	NUM
cana-1036	71	5	∑	∑	PRON
cana-1036	71	6	(	(	PUNCT
cana-1036	71	7	𝑎𝑖+𝑏𝑗+𝑐𝑘⁡	𝑎𝑖+𝑏𝑗+𝑐𝑘⁡	PROPN
cana-1036	71	8	6	6	NUM
cana-1036	71	9	)	)	PUNCT
cana-1036	71	10	𝜒∗ƕ	𝜒∗ƕ	NUM
cana-1036	71	11	algorithms	algorithm	NOUN
cana-1036	71	12	of	of	ADP
cana-1036	71	13	triangular	triangular	NOUN
cana-1036	71	14	hesitant	hesitant	ADJ
cana-1036	71	15	fuzzy	fuzzy	ADJ
cana-1036	71	16	set	set	NOUN
cana-1036	71	17	for	for	ADP
cana-1036	71	18	multicriteria	multicriteria	NOUN
cana-1036	71	19	decision	decision	NOUN
cana-1036	71	20	-	-	PUNCT
cana-1036	71	21	making	make	VERB
cana-1036	71	22	problems	problem	NOUN
cana-1036	71	23	algorithm	algorithm	VERB
cana-1036	71	24	:	:	PUNCT
cana-1036	71	25	3.6	3.6	NUM
cana-1036	71	26	(	(	PUNCT
cana-1036	71	27	existing	exist	VERB
cana-1036	71	28	method	method	NOUN
cana-1036	71	29	)	)	PUNCT
cana-1036	71	30	step	step	NOUN
cana-1036	71	31	1	1	NUM
cana-1036	71	32	:	:	PUNCT
cana-1036	71	33	construct	construct	VERB
cana-1036	71	34	the	the	DET
cana-1036	71	35	t.h.f	t.h.f	ADJ
cana-1036	71	36	.	.	PUNCT
cana-1036	72	1	decision	decision	NOUN
cana-1036	72	2	matrix	matrix	NOUN
cana-1036	72	3	.	.	PUNCT
cana-1036	73	1	suppose	suppose	VERB
cana-1036	73	2	we	we	PRON
cana-1036	73	3	have	have	VERB
cana-1036	73	4	'	'	PUNCT
cana-1036	73	5	m	m	NOUN
cana-1036	73	6	'	'	PART
cana-1036	73	7	alternatives	alternative	NOUN
cana-1036	73	8	and	and	CCONJ
cana-1036	73	9	'	'	CCONJ
cana-1036	73	10	n	n	CCONJ
cana-1036	73	11	'	'	PART
cana-1036	73	12	criteria	criterion	NOUN
cana-1036	73	13	.	.	PUNCT
cana-1036	74	1	the	the	DET
cana-1036	74	2	triangular	triangular	ADJ
cana-1036	74	3	hesitant	hesitant	ADJ
cana-1036	74	4	matrix	matrix	NOUN
cana-1036	74	5	is	be	AUX
cana-1036	74	6	h	h	NOUN
cana-1036	74	7	=	=	PRON
cana-1036	74	8	{	{	PUNCT
cana-1036	74	9	h𝑖𝑗	h𝑖𝑗	NOUN
cana-1036	74	10	}	}	PUNCT
cana-1036	74	11	is	be	AUX
cana-1036	74	12	an	an	DET
cana-1036	74	13	𝑚	𝑚	PROPN
cana-1036	74	14	×	×	NOUN
cana-1036	74	15	𝑛	𝑛	DET
cana-1036	74	16	matrix	matrix	NOUN
cana-1036	74	17	.	.	PUNCT
cana-1036	75	1	let	let	VERB
cana-1036	75	2	two	two	NUM
cana-1036	75	3	or	or	CCONJ
cana-1036	75	4	more	more	ADJ
cana-1036	75	5	decisions	decision	NOUN
cana-1036	75	6	are	be	AUX
cana-1036	75	7	the	the	DET
cana-1036	75	8	same	same	ADJ
cana-1036	75	9	.	.	PUNCT
cana-1036	76	1	then	then	ADV
cana-1036	76	2	the	the	DET
cana-1036	76	3	number	number	NOUN
cana-1036	76	4	should	should	AUX
cana-1036	76	5	be	be	AUX
cana-1036	76	6	considered	consider	VERB
cana-1036	76	7	as	as	ADP
cana-1036	76	8	once	once	ADV
cana-1036	76	9	in	in	ADP
cana-1036	76	10	h𝑖𝑗.	h𝑖𝑗.	NOUN
cana-1036	76	11	step	step	NOUN
cana-1036	76	12	2	2	NUM
cana-1036	76	13	:	:	PUNCT
cana-1036	76	14	expected	expect	VERB
cana-1036	76	15	value	value	NOUN
cana-1036	76	16	is	be	AUX
cana-1036	76	17	calculated	calculate	VERB
cana-1036	76	18	.	.	PUNCT
cana-1036	77	1	step	step	NOUN
cana-1036	77	2	3	3	NUM
cana-1036	77	3	:	:	PUNCT
cana-1036	77	4	obtain	obtain	VERB
cana-1036	77	5	the	the	DET
cana-1036	77	6	criteria	criterion	NOUN
cana-1036	77	7	weight	weight	NOUN
cana-1036	77	8	by	by	ADP
cana-1036	77	9	using	use	VERB
cana-1036	77	10	the	the	DET
cana-1036	77	11	standard	standard	ADJ
cana-1036	77	12	deviation	deviation	NOUN
cana-1036	77	13	.	.	PUNCT
cana-1036	78	1	step	step	NOUN
cana-1036	78	2	4	4	NUM
cana-1036	78	3	:	:	PUNCT
cana-1036	78	4	acquire	acquire	VERB
cana-1036	78	5	the	the	DET
cana-1036	78	6	anticipated	anticipate	VERB
cana-1036	78	7	value	value	NOUN
cana-1036	78	8	that	that	PRON
cana-1036	78	9	is	be	AUX
cana-1036	78	10	weighted	weight	VERB
cana-1036	78	11	.	.	PUNCT
cana-1036	79	1	step	step	NOUN
cana-1036	79	2	5	5	NUM
cana-1036	79	3	:	:	PUNCT
cana-1036	79	4	rank	rank	VERB
cana-1036	79	5	the	the	DET
cana-1036	79	6	alternatives	alternative	NOUN
cana-1036	79	7	.	.	PUNCT
cana-1036	80	1	communications	communication	NOUN
cana-1036	80	2	on	on	ADP
cana-1036	80	3	applied	apply	VERB
cana-1036	80	4	nonlinear	nonlinear	ADJ
cana-1036	80	5	analysis	analysis	NOUN
cana-1036	80	6	issn	issn	NOUN
cana-1036	80	7	:	:	PUNCT
cana-1036	80	8	1074	1074	NUM
cana-1036	80	9	-	-	PUNCT
cana-1036	80	10	133x	133x	NUM
cana-1036	80	11	vol	vol	NOUN
cana-1036	80	12	31	31	NUM
cana-1036	80	13	no	no	NOUN
cana-1036	80	14	.	.	PUNCT
cana-1036	81	1	5s	5s	NUM
cana-1036	81	2	(	(	PUNCT
cana-1036	81	3	2024	2024	NUM
cana-1036	81	4	)	)	PUNCT
cana-1036	81	5	282	282	NUM
cana-1036	81	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1036	81	7	algorithm	algorithm	NOUN
cana-1036	81	8	:	:	PUNCT
cana-1036	81	9	3.7	3.7	NUM
cana-1036	81	10	(	(	PUNCT
cana-1036	81	11	new	new	ADJ
cana-1036	81	12	method	method	NOUN
cana-1036	81	13	using	use	VERB
cana-1036	81	14	mid	mid	ADJ
cana-1036	81	15	value	value	NOUN
cana-1036	81	16	ranking	ranking	NOUN
cana-1036	81	17	and	and	CCONJ
cana-1036	81	18	variance	variance	NOUN
cana-1036	81	19	)	)	PUNCT
cana-1036	81	20	let	let	VERB
cana-1036	81	21	�	�	PROPN
cana-1036	81	22	̃	̃	NOUN
cana-1036	81	23	�	�	NOUN
cana-1036	81	24	=	=	SYM
cana-1036	81	25	{	{	PUNCT
cana-1036	81	26	�	�	PROPN
cana-1036	81	27	̃	̃	NOUN
cana-1036	81	28	�	�	NOUN
cana-1036	81	29	1	1	NUM
cana-1036	81	30	,	,	PUNCT
cana-1036	81	31	�	�	PROPN
cana-1036	81	32	̃	̃	NOUN
cana-1036	81	33	�	�	NOUN
cana-1036	81	34	2	2	NUM
cana-1036	81	35	,	,	PUNCT
cana-1036	81	36	…	…	PUNCT
cana-1036	81	37	.	.	PUNCT
cana-1036	81	38	,	,	PUNCT
cana-1036	81	39	�	�	PROPN
cana-1036	81	40	̃	̃	PROPN
cana-1036	81	41	�	�	NOUN
cana-1036	81	42	𝑢	𝑢	PART
cana-1036	81	43	}	}	PUNCT
cana-1036	81	44	be	be	AUX
cana-1036	81	45	an	an	DET
cana-1036	81	46	alternative	alternative	NOUN
cana-1036	81	47	to	to	ADP
cana-1036	81	48	a	a	DET
cana-1036	81	49	set	set	NOUN
cana-1036	81	50	.	.	PUNCT
cana-1036	82	1	let	let	VERB
cana-1036	82	2	�	�	PROPN
cana-1036	82	3	̃	̃	PROPN
cana-1036	82	4	�	�	NOUN
cana-1036	82	5	=	=	SYM
cana-1036	82	6	{	{	PUNCT
cana-1036	82	7	�	�	PROPN
cana-1036	82	8	̃	̃	NOUN
cana-1036	82	9	�	�	NOUN
cana-1036	82	10	1	1	NUM
cana-1036	82	11	,	,	PUNCT
cana-1036	82	12	�	�	PROPN
cana-1036	82	13	̃	̃	NOUN
cana-1036	82	14	�	�	NOUN
cana-1036	82	15	2	2	NUM
cana-1036	82	16	,	,	PUNCT
cana-1036	82	17	…	…	PUNCT
cana-1036	82	18	.	.	PUNCT
cana-1036	83	1	,	,	PUNCT
cana-1036	83	2	�	�	PROPN
cana-1036	83	3	̃	̃	PROPN
cana-1036	83	4	�	�	NOUN
cana-1036	83	5	𝑣	𝑣	PART
cana-1036	83	6	}	}	PUNCT
cana-1036	83	7	be	be	AUX
cana-1036	83	8	a	a	DET
cana-1036	83	9	criterion	criterion	NOUN
cana-1036	83	10	of	of	ADP
cana-1036	83	11	a	a	DET
cana-1036	83	12	set	set	NOUN
cana-1036	83	13	.	.	PUNCT
cana-1036	84	1	the	the	DET
cana-1036	84	2	decision	decision	NOUN
cana-1036	84	3	-	-	PUNCT
cana-1036	84	4	makers	maker	NOUN
cana-1036	84	5	'	'	PART
cana-1036	84	6	suggestions	suggestion	NOUN
cana-1036	84	7	are	be	AUX
cana-1036	84	8	obtained	obtain	VERB
cana-1036	84	9	as	as	ADP
cana-1036	84	10	step	step	NOUN
cana-1036	84	11	1	1	NUM
cana-1036	84	12	:	:	PUNCT
cana-1036	84	13	a	a	DET
cana-1036	84	14	triangular	triangular	NOUN
cana-1036	84	15	,	,	PUNCT
cana-1036	84	16	hesitant	hesitant	ADJ
cana-1036	84	17	,	,	PUNCT
cana-1036	84	18	fuzzy	fuzzy	ADJ
cana-1036	84	19	decision	decision	NOUN
cana-1036	84	20	matrix	matrix	NOUN
cana-1036	84	21	is	be	AUX
cana-1036	84	22	constructed	construct	VERB
cana-1036	84	23	with	with	ADP
cana-1036	84	24	'	'	PUNCT
cana-1036	84	25	u	u	NOUN
cana-1036	84	26	'	'	PART
cana-1036	84	27	alternatives	alternative	NOUN
cana-1036	84	28	and	and	CCONJ
cana-1036	84	29	'	'	PUNCT
cana-1036	84	30	v	v	NOUN
cana-1036	84	31	'	'	PUNCT
cana-1036	84	32	criteria	criterion	NOUN
cana-1036	84	33	.	.	PUNCT
cana-1036	85	1	the	the	DET
cana-1036	85	2	matrix	matrix	NOUN
cana-1036	85	3	is	be	AUX
cana-1036	85	4	denoted	denote	VERB
cana-1036	85	5	as	as	ADP
cana-1036	85	6	�	�	PROPN
cana-1036	85	7	̃	̃	PROPN
cana-1036	85	8	�	�	NOUN
cana-1036	85	9	=	=	SYM
cana-1036	85	10	{	{	PUNCT
cana-1036	85	11	ƕ𝑖𝑗	ƕ𝑖𝑗	NOUN
cana-1036	85	12	}	}	PUNCT
cana-1036	85	13	is	be	AUX
cana-1036	85	14	an	an	DET
cana-1036	85	15	𝑢	𝑢	NUM
cana-1036	85	16	×	×	NOUN
cana-1036	85	17	𝑣	𝑣	PRON
cana-1036	85	18	matrix	matrix	NOUN
cana-1036	85	19	.	.	PUNCT
cana-1036	86	1	let	let	VERB
cana-1036	86	2	2	2	NUM
cana-1036	86	3	or	or	CCONJ
cana-1036	86	4	more	more	ADJ
cana-1036	86	5	decision	decision	NOUN
cana-1036	86	6	-	-	PUNCT
cana-1036	86	7	makers	maker	NOUN
cana-1036	86	8	'	'	PART
cana-1036	86	9	suggestions	suggestion	NOUN
cana-1036	86	10	are	be	AUX
cana-1036	86	11	the	the	DET
cana-1036	86	12	same	same	ADJ
cana-1036	86	13	.	.	PUNCT
cana-1036	87	1	then	then	ADV
cana-1036	87	2	,	,	PUNCT
cana-1036	87	3	the	the	DET
cana-1036	87	4	number	number	NOUN
cana-1036	87	5	should	should	AUX
cana-1036	87	6	be	be	AUX
cana-1036	87	7	considered	consider	VERB
cana-1036	87	8	as	as	ADV
cana-1036	87	9	once	once	ADV
cana-1036	87	10	.	.	PUNCT
cana-1036	88	1	ƕ𝑖𝑗.	ƕ𝑖𝑗.	PROPN
cana-1036	88	2	�	�	PROPN
cana-1036	88	3	̃	̃	PROPN
cana-1036	88	4	�	�	NOUN
cana-1036	88	5	=	=	SYM
cana-1036	88	6	step	step	NOUN
cana-1036	88	7	2	2	NUM
cana-1036	88	8	:	:	PUNCT
cana-1036	88	9	use	use	VERB
cana-1036	88	10	the	the	DET
cana-1036	88	11	following	follow	VERB
cana-1036	88	12	formula	formula	NOUN
cana-1036	88	13	to	to	PART
cana-1036	88	14	determine	determine	VERB
cana-1036	88	15	the	the	DET
cana-1036	88	16	expected	expect	VERB
cana-1036	88	17	value	value	NOUN
cana-1036	88	18	.	.	PUNCT
cana-1036	89	1	𝐸𝑖𝑗	𝐸𝑖𝑗	ADJ
cana-1036	89	2	=	=	SYM
cana-1036	89	3	⁡	⁡	ADP
cana-1036	89	4	1	1	NUM
cana-1036	89	5	3∗ƕ𝑖𝑗	3∗ƕ𝑖𝑗	NUM
cana-1036	89	6	∑	∑	PUNCT
cana-1036	89	7	(	(	PUNCT
cana-1036	89	8	⁡𝑎𝑖𝑗+𝑏𝑖𝑗+𝑐𝑖𝑗	⁡𝑎𝑖𝑗+𝑏𝑖𝑗+𝑐𝑖𝑗	NOUN
cana-1036	89	9	3	3	NUM
cana-1036	89	10	)	)	PUNCT
cana-1036	89	11	𝜒𝑖𝑗∗ƕ𝑖𝑗	𝜒𝑖𝑗∗ƕ𝑖𝑗	NOUN
cana-1036	89	12	,	,	PUNCT
cana-1036	89	13	where	where	SCONJ
cana-1036	89	14	the	the	DET
cana-1036	89	15	middle	middle	ADJ
cana-1036	89	16	value	value	NOUN
cana-1036	89	17	is	be	AUX
cana-1036	89	18	only	only	ADV
cana-1036	89	19	taken	take	VERB
cana-1036	89	20	from	from	ADP
cana-1036	89	21	the	the	DET
cana-1036	89	22	t.h.f.s	t.h.f.s	PROPN
cana-1036	89	23	.	.	PUNCT
cana-1036	90	1	because	because	SCONJ
cana-1036	90	2	with	with	ADP
cana-1036	90	3	defuzzification	defuzzification	NOUN
cana-1036	90	4	,	,	PUNCT
cana-1036	90	5	we	we	PRON
cana-1036	90	6	will	will	AUX
cana-1036	90	7	get	get	VERB
cana-1036	90	8	the	the	DET
cana-1036	90	9	middle	middle	ADJ
cana-1036	90	10	value	value	NOUN
cana-1036	90	11	.	.	PUNCT
cana-1036	91	1	in	in	ADP
cana-1036	91	2	ƕ𝑖𝑗	ƕ𝑖𝑗	NOUN
cana-1036	91	3	,	,	PUNCT
cana-1036	91	4	where	where	SCONJ
cana-1036	91	5	i	i	PRON
cana-1036	91	6	=	=	SYM
cana-1036	91	7	1,2,	1,2,	NUM
cana-1036	91	8	…	…	PUNCT
cana-1036	91	9	,u	,u	PUNCT
cana-1036	91	10	and	and	CCONJ
cana-1036	91	11	j	j	PROPN
cana-1036	91	12	=	=	SYM
cana-1036	91	13	1,2,	1,2,	NUM
cana-1036	91	14	…	…	PUNCT
cana-1036	91	15	..	..	PUNCT
cana-1036	91	16	,v	,v	X
cana-1036	91	17	step	step	NOUN
cana-1036	91	18	3	3	NUM
cana-1036	91	19	:	:	PUNCT
cana-1036	91	20	obtain	obtain	VERB
cana-1036	91	21	the	the	DET
cana-1036	91	22	criteria	criterion	NOUN
cana-1036	91	23	weight	weight	NOUN
cana-1036	91	24	vector	vector	NOUN
cana-1036	91	25	�	�	PROPN
cana-1036	91	26	̃	̃	PROPN
cana-1036	91	27	�	�	NOUN
cana-1036	91	28	=	=	SYM
cana-1036	91	29	{	{	PUNCT
cana-1036	91	30	𝑤1	𝑤1	PROPN
cana-1036	91	31	,	,	PUNCT
cana-1036	91	32	𝑤2	𝑤2	NOUN
cana-1036	91	33	,	,	PUNCT
cana-1036	91	34	…	…	PUNCT
cana-1036	91	35	,	,	PUNCT
cana-1036	91	36	𝑤𝑣	𝑤𝑣	ADP
cana-1036	91	37	}	}	PUNCT
cana-1036	91	38	by	by	ADP
cana-1036	91	39	using	use	VERB
cana-1036	91	40	the	the	DET
cana-1036	91	41	below	below	ADJ
cana-1036	91	42	formula	formula	NOUN
cana-1036	91	43	�	�	PROPN
cana-1036	91	44	̃	̃	NOUN
cana-1036	91	45	�	�	NOUN
cana-1036	91	46	𝑗	𝑗	NOUN
cana-1036	91	47	=	=	SYM
cana-1036	91	48	𝑔𝑗(𝑐𝑗	𝑔𝑗(𝑐𝑗	PROPN
cana-1036	91	49	)	)	PUNCT
cana-1036	91	50	∑	∑	PUNCT
cana-1036	91	51	𝑔𝑗(𝑐𝑗	𝑔𝑗(𝑐𝑗	PROPN
cana-1036	91	52	)	)	PUNCT
cana-1036	91	53	𝑣	𝑣	ADP
cana-1036	91	54	𝑗=𝑛	𝑗=𝑛	PROPN
cana-1036	91	55	where	where	SCONJ
cana-1036	91	56	�	�	PROPN
cana-1036	91	57	̃	̃	PROPN
cana-1036	91	58	�	�	PROPN
cana-1036	91	59	𝑗	𝑗	PROPN
cana-1036	91	60	≥	≥	NOUN
cana-1036	91	61	0	0	NUM
cana-1036	91	62	and	and	CCONJ
cana-1036	91	63	∑	∑	ADP
cana-1036	91	64	�	�	PROPN
cana-1036	91	65	̃	̃	PROPN
cana-1036	91	66	�	�	NOUN
cana-1036	91	67	𝑗	𝑗	NOUN
cana-1036	91	68	=	=	SYM
cana-1036	91	69	1𝑣	1𝑣	NUM
cana-1036	91	70	𝑗=𝑛	𝑗=𝑛	NOUN
cana-1036	91	71	.	.	PUNCT
cana-1036	92	1	then	then	ADV
cana-1036	92	2	𝑔𝑗(𝑐𝑗	𝑔𝑗(𝑐𝑗	PROPN
cana-1036	92	3	)	)	PUNCT
cana-1036	92	4	is	be	AUX
cana-1036	92	5	the	the	DET
cana-1036	92	6	variance	variance	NOUN
cana-1036	92	7	of	of	ADP
cana-1036	92	8	the	the	DET
cana-1036	92	9	expected	expect	VERB
cana-1036	92	10	values	value	NOUN
cana-1036	92	11	of	of	ADP
cana-1036	92	12	various	various	ADJ
cana-1036	92	13	alternatives	alternative	NOUN
cana-1036	92	14	w.r.t	w.r.t	VERB
cana-1036	92	15	criterion	criterion	NOUN
cana-1036	92	16	.	.	PUNCT
cana-1036	93	1	𝑔𝑗(𝑐𝑗	𝑔𝑗(𝑐𝑗	NOUN
cana-1036	93	2	)	)	PUNCT
cana-1036	94	1	=	=	SYM
cana-1036	94	2	1	1	NUM
cana-1036	94	3	𝑢	𝑢	PRON
cana-1036	94	4	∑	∑	PUNCT
cana-1036	94	5	(	(	PUNCT
cana-1036	94	6	𝐸𝑖𝑗	𝐸𝑖𝑗	ADJ
cana-1036	94	7	−	−	PROPN
cana-1036	94	8	1	1	NUM
cana-1036	94	9	𝑢	𝑢	NOUN
cana-1036	94	10	⁡∑	⁡∑	NUM
cana-1036	94	11	𝐸𝑖𝑗	𝐸𝑖𝑗	ADJ
cana-1036	94	12	𝑣	𝑣	PRON
cana-1036	94	13	𝑖=1	𝑖=1	PUNCT
cana-1036	94	14	)	)	PUNCT
cana-1036	94	15	2𝑢	2𝑢	NOUN
cana-1036	94	16	𝑗=1	𝑗=1	PART
cana-1036	94	17	step	step	VERB
cana-1036	94	18	4	4	NUM
cana-1036	94	19	:	:	PUNCT
cana-1036	94	20	obtain	obtain	VERB
cana-1036	94	21	the	the	DET
cana-1036	94	22	weighted	weight	VERB
cana-1036	94	23	expected	expect	VERB
cana-1036	94	24	value	value	NOUN
cana-1036	94	25	for	for	ADP
cana-1036	94	26	each	each	DET
cana-1036	94	27	alternative	alternative	ADJ
cana-1036	94	28	�	�	PROPN
cana-1036	94	29	̃	̃	NOUN
cana-1036	94	30	�	�	NOUN
cana-1036	94	31	𝑖	𝑖	NUM
cana-1036	94	32	where	where	SCONJ
cana-1036	94	33	i	i	PRON
cana-1036	94	34	=	=	SYM
cana-1036	94	35	1,2,	1,2,	NUM
cana-1036	94	36	…	…	SYM
cana-1036	94	37	,u	,u	PUNCT
cana-1036	94	38	�	�	PROPN
cana-1036	94	39	̃	̃	PROPN
cana-1036	94	40	�	�	PROPN
cana-1036	94	41	(	(	PUNCT
cana-1036	94	42	�	�	PROPN
cana-1036	94	43	̃	̃	PROPN
cana-1036	94	44	�	�	NOUN
cana-1036	94	45	𝑖	𝑖	NUM
cana-1036	94	46	)	)	PUNCT
cana-1036	94	47	=	=	SYM
cana-1036	94	48	∑	∑	PUNCT
cana-1036	94	49	�	�	PROPN
cana-1036	94	50	̃	̃	PROPN
cana-1036	94	51	�	�	NOUN
cana-1036	94	52	𝑗	𝑗	NOUN
cana-1036	94	53	𝑣	𝑣	X
cana-1036	94	54	𝑗=1	𝑗=1	PROPN
cana-1036	94	55	𝐸𝑖𝑗	𝐸𝑖𝑗	ADJ
cana-1036	94	56	step	step	NOUN
cana-1036	94	57	5	5	NUM
cana-1036	94	58	:	:	PUNCT
cana-1036	94	59	rank	rank	VERB
cana-1036	94	60	the	the	DET
cana-1036	94	61	alternatives	alternative	NOUN
cana-1036	94	62	as	as	ADP
cana-1036	94	63	per	per	ADP
cana-1036	94	64	the	the	DET
cana-1036	94	65	values	value	NOUN
cana-1036	94	66	.	.	PUNCT
cana-1036	95	1	algorithm	algorithm	NOUN
cana-1036	95	2	:	:	PUNCT
cana-1036	95	3	3.8	3.8	NUM
cana-1036	95	4	(	(	PUNCT
cana-1036	95	5	new	new	ADJ
cana-1036	95	6	method	method	NOUN
cana-1036	95	7	using	use	VERB
cana-1036	95	8	ambiguity	ambiguity	NOUN
cana-1036	95	9	ranking	rank	VERB
cana-1036	95	10	and	and	CCONJ
cana-1036	95	11	mean	mean	ADJ
cana-1036	95	12	)	)	PUNCT
cana-1036	95	13	let	let	VERB
cana-1036	95	14	�	�	PROPN
cana-1036	95	15	̃	̃	NOUN
cana-1036	95	16	�	�	NOUN
cana-1036	95	17	=	=	SYM
cana-1036	95	18	{	{	PUNCT
cana-1036	95	19	�	�	PROPN
cana-1036	95	20	̃	̃	NOUN
cana-1036	95	21	�	�	NOUN
cana-1036	95	22	1	1	NUM
cana-1036	95	23	,	,	PUNCT
cana-1036	95	24	�	�	PROPN
cana-1036	95	25	̃	̃	NOUN
cana-1036	95	26	�	�	NOUN
cana-1036	95	27	2	2	NUM
cana-1036	95	28	,	,	PUNCT
cana-1036	95	29	…	…	PUNCT
cana-1036	95	30	.	.	PUNCT
cana-1036	96	1	,	,	PUNCT
cana-1036	96	2	�	�	PROPN
cana-1036	96	3	̃	̃	PROPN
cana-1036	96	4	�	�	NOUN
cana-1036	96	5	𝑢	𝑢	PART
cana-1036	96	6	}	}	PUNCT
cana-1036	96	7	be	be	AUX
cana-1036	96	8	an	an	DET
cana-1036	96	9	alternative	alternative	NOUN
cana-1036	96	10	to	to	ADP
cana-1036	96	11	a	a	DET
cana-1036	96	12	set	set	NOUN
cana-1036	96	13	.	.	PUNCT
cana-1036	97	1	let	let	VERB
cana-1036	97	2	�	�	PROPN
cana-1036	97	3	̃	̃	PROPN
cana-1036	97	4	�	�	NOUN
cana-1036	97	5	=	=	SYM
cana-1036	97	6	{	{	PUNCT
cana-1036	97	7	�	�	PROPN
cana-1036	97	8	̃	̃	NOUN
cana-1036	97	9	�	�	NOUN
cana-1036	97	10	1	1	NUM
cana-1036	97	11	,	,	PUNCT
cana-1036	97	12	�	�	PROPN
cana-1036	97	13	̃	̃	NOUN
cana-1036	97	14	�	�	NOUN
cana-1036	97	15	2	2	NUM
cana-1036	97	16	,	,	PUNCT
cana-1036	97	17	…	…	PUNCT
cana-1036	97	18	.	.	PUNCT
cana-1036	98	1	,	,	PUNCT
cana-1036	98	2	�	�	PROPN
cana-1036	98	3	̃	̃	PROPN
cana-1036	98	4	�	�	NOUN
cana-1036	98	5	𝑣	𝑣	PART
cana-1036	98	6	}	}	PUNCT
cana-1036	98	7	be	be	AUX
cana-1036	98	8	a	a	DET
cana-1036	98	9	criterion	criterion	NOUN
cana-1036	98	10	of	of	ADP
cana-1036	98	11	a	a	DET
cana-1036	98	12	set	set	NOUN
cana-1036	98	13	.	.	PUNCT
cana-1036	99	1	the	the	DET
cana-1036	99	2	decision	decision	NOUN
cana-1036	99	3	-	-	PUNCT
cana-1036	99	4	makers	maker	NOUN
cana-1036	99	5	'	'	PART
cana-1036	99	6	suggestions	suggestion	NOUN
cana-1036	99	7	are	be	AUX
cana-1036	99	8	obtained	obtain	VERB
cana-1036	99	9	as	as	ADP
cana-1036	99	10	step	step	NOUN
cana-1036	99	11	1	1	NUM
cana-1036	99	12	:	:	PUNCT
cana-1036	99	13	a	a	DET
cana-1036	99	14	triangular	triangular	NOUN
cana-1036	99	15	hesitant	hesitant	ADJ
cana-1036	99	16	fuzzy	fuzzy	ADJ
cana-1036	99	17	decision	decision	NOUN
cana-1036	99	18	matrix	matrix	NOUN
cana-1036	99	19	is	be	AUX
cana-1036	99	20	constructed	construct	VERB
cana-1036	99	21	with	with	ADP
cana-1036	99	22	'	'	PUNCT
cana-1036	99	23	u	u	NOUN
cana-1036	99	24	'	'	PART
cana-1036	99	25	alternatives	alternative	NOUN
cana-1036	99	26	and	and	CCONJ
cana-1036	99	27	'	'	PUNCT
cana-1036	99	28	v	v	NOUN
cana-1036	99	29	'	'	PUNCT
cana-1036	99	30	criteria	criterion	NOUN
cana-1036	99	31	.	.	PUNCT
cana-1036	100	1	the	the	DET
cana-1036	100	2	matrix	matrix	NOUN
cana-1036	100	3	is	be	AUX
cana-1036	100	4	denoted	denote	VERB
cana-1036	100	5	as	as	ADP
cana-1036	100	6	�	�	PROPN
cana-1036	100	7	̃	̃	PROPN
cana-1036	100	8	�	�	NOUN
cana-1036	100	9	=	=	SYM
cana-1036	100	10	{	{	PUNCT
cana-1036	100	11	ƕ𝑖𝑗	ƕ𝑖𝑗	NOUN
cana-1036	100	12	}	}	PUNCT
cana-1036	100	13	is	be	AUX
cana-1036	100	14	an	an	DET
cana-1036	100	15	𝑢	𝑢	NUM
cana-1036	100	16	×	×	NOUN
cana-1036	100	17	𝑣	𝑣	PRON
cana-1036	100	18	matrix	matrix	NOUN
cana-1036	100	19	.	.	PUNCT
cana-1036	101	1	suppose	suppose	VERB
cana-1036	101	2	2	2	NUM
cana-1036	101	3	or	or	CCONJ
cana-1036	101	4	more	more	ADJ
cana-1036	101	5	decision	decision	NOUN
cana-1036	101	6	-	-	PUNCT
cana-1036	101	7	makers	maker	NOUN
cana-1036	101	8	'	'	PART
cana-1036	101	9	suggestions	suggestion	NOUN
cana-1036	101	10	are	be	AUX
cana-1036	101	11	the	the	DET
cana-1036	101	12	same	same	ADJ
cana-1036	101	13	.	.	PUNCT
cana-1036	102	1	then	then	ADV
cana-1036	102	2	the	the	DET
cana-1036	102	3	number	number	NOUN
cana-1036	102	4	should	should	AUX
cana-1036	102	5	be	be	AUX
cana-1036	102	6	considered	consider	VERB
cana-1036	102	7	as	as	ADP
cana-1036	102	8	once	once	ADV
cana-1036	102	9	in	in	SCONJ
cana-1036	102	10	ƕ𝑖𝑗.	ƕ𝑖𝑗.	NOUN
cana-1036	102	11	communications	communication	NOUN
cana-1036	102	12	on	on	ADP
cana-1036	102	13	applied	apply	VERB
cana-1036	102	14	nonlinear	nonlinear	ADJ
cana-1036	102	15	analysis	analysis	NOUN
cana-1036	102	16	issn	issn	NOUN
cana-1036	102	17	:	:	PUNCT
cana-1036	102	18	1074	1074	NUM
cana-1036	102	19	-	-	PUNCT
cana-1036	102	20	133x	133x	NUM
cana-1036	102	21	vol	vol	NOUN
cana-1036	102	22	31	31	NUM
cana-1036	102	23	no	no	NOUN
cana-1036	102	24	.	.	PUNCT
cana-1036	103	1	5s	5s	NUM
cana-1036	103	2	(	(	PUNCT
cana-1036	103	3	2024	2024	NUM
cana-1036	103	4	)	)	PUNCT
cana-1036	103	5	283	283	NUM
cana-1036	103	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1036	103	7	�	�	SYM
cana-1036	103	8	̃	̃	PROPN
cana-1036	103	9	�	�	NOUN
cana-1036	103	10	=	=	SYM
cana-1036	103	11	step	step	NOUN
cana-1036	103	12	2	2	NUM
cana-1036	103	13	:	:	PUNCT
cana-1036	103	14	compute	compute	VERB
cana-1036	103	15	the	the	DET
cana-1036	103	16	expected	expect	VERB
cana-1036	103	17	value	value	NOUN
cana-1036	103	18	by	by	ADP
cana-1036	103	19	utilizing	utilize	VERB
cana-1036	103	20	the	the	DET
cana-1036	103	21	mentioned	mention	VERB
cana-1036	103	22	formula	formula	NOUN
cana-1036	104	1	𝐸𝑖𝑗	𝐸𝑖𝑗	ADJ
cana-1036	104	2	′	′	NOUN
cana-1036	105	1	=	=	PRON
cana-1036	105	2	⁡	⁡	ADP
cana-1036	105	3	1	1	NUM
cana-1036	105	4	3∗ƕ𝑖𝑗	3∗ƕ𝑖𝑗	NUM
cana-1036	105	5	∑	∑	PUNCT
cana-1036	105	6	(	(	PUNCT
cana-1036	105	7	⁡𝑎𝑖𝑗+4𝑏𝑖𝑗+𝑐𝑖𝑗	⁡𝑎𝑖𝑗+4𝑏𝑖𝑗+𝑐𝑖𝑗	PROPN
cana-1036	105	8	6	6	NUM
cana-1036	105	9	)	)	PUNCT
cana-1036	105	10	𝜒𝑖𝑗∗ƕ𝑖𝑗	𝜒𝑖𝑗∗ƕ𝑖𝑗	NOUN
cana-1036	105	11	in	in	ADP
cana-1036	105	12	ƕ𝑖𝑗	ƕ𝑖𝑗	NOUN
cana-1036	105	13	,	,	PUNCT
cana-1036	105	14	where	where	SCONJ
cana-1036	105	15	i	i	PRON
cana-1036	105	16	=	=	SYM
cana-1036	105	17	1,2,	1,2,	NUM
cana-1036	105	18	…	…	PUNCT
cana-1036	105	19	,u	,u	PUNCT
cana-1036	105	20	and	and	CCONJ
cana-1036	105	21	j	j	PROPN
cana-1036	105	22	=	=	SYM
cana-1036	105	23	1,2,	1,2,	NUM
cana-1036	105	24	…	…	PUNCT
cana-1036	105	25	..	..	PUNCT
cana-1036	105	26	,v	,v	X
cana-1036	105	27	step	step	NOUN
cana-1036	105	28	3	3	NUM
cana-1036	105	29	:	:	PUNCT
cana-1036	105	30	obtain	obtain	VERB
cana-1036	105	31	the	the	DET
cana-1036	105	32	criteria	criterion	NOUN
cana-1036	105	33	weight	weight	NOUN
cana-1036	105	34	vector	vector	NOUN
cana-1036	105	35	�	�	PROPN
cana-1036	105	36	̃	̃	PROPN
cana-1036	105	37	�	�	NOUN
cana-1036	105	38	=	=	SYM
cana-1036	105	39	{	{	PUNCT
cana-1036	105	40	𝑤1	𝑤1	PROPN
cana-1036	105	41	,	,	PUNCT
cana-1036	105	42	𝑤2	𝑤2	NOUN
cana-1036	105	43	,	,	PUNCT
cana-1036	105	44	…	…	PUNCT
cana-1036	105	45	,	,	PUNCT
cana-1036	105	46	𝑤𝑣	𝑤𝑣	ADP
cana-1036	105	47	}	}	PUNCT
cana-1036	105	48	by	by	ADP
cana-1036	105	49	using	use	VERB
cana-1036	105	50	the	the	DET
cana-1036	105	51	below	below	ADJ
cana-1036	105	52	formula	formula	NOUN
cana-1036	105	53	�	�	PROPN
cana-1036	105	54	̃	̃	NOUN
cana-1036	105	55	�	�	NOUN
cana-1036	105	56	𝑗	𝑗	NOUN
cana-1036	105	57	=	=	SYM
cana-1036	105	58	𝑔𝑗	𝑔𝑗	PROPN
cana-1036	105	59	′(𝑐𝑗	′(𝑐𝑗	PROPN
cana-1036	105	60	)	)	PUNCT
cana-1036	105	61	∑	∑	PUNCT
cana-1036	105	62	𝑔𝑗	𝑔𝑗	PROPN
cana-1036	105	63	′(𝑐𝑗	′(𝑐𝑗	PROPN
cana-1036	105	64	)	)	PUNCT
cana-1036	105	65	𝑣	𝑣	ADP
cana-1036	105	66	𝑗=𝑛	𝑗=𝑛	PROPN
cana-1036	105	67	where	where	SCONJ
cana-1036	105	68	�	�	PROPN
cana-1036	105	69	̃	̃	PROPN
cana-1036	105	70	�	�	PROPN
cana-1036	105	71	𝑗	𝑗	PROPN
cana-1036	105	72	≥	≥	NOUN
cana-1036	105	73	0	0	NUM
cana-1036	105	74	and	and	CCONJ
cana-1036	105	75	∑	∑	ADP
cana-1036	105	76	�	�	PROPN
cana-1036	105	77	̃	̃	PROPN
cana-1036	105	78	�	�	NOUN
cana-1036	105	79	𝑗	𝑗	NOUN
cana-1036	105	80	=	=	SYM
cana-1036	105	81	1𝑣	1𝑣	NUM
cana-1036	105	82	𝑗=𝑛	𝑗=𝑛	NOUN
cana-1036	105	83	.	.	PUNCT
cana-1036	106	1	then	then	ADV
cana-1036	106	2	𝑔𝑗(𝑐𝑗	𝑔𝑗(𝑐𝑗	PROPN
cana-1036	106	3	)	)	PUNCT
cana-1036	106	4	is	be	AUX
cana-1036	106	5	the	the	DET
cana-1036	106	6	mean	mean	NOUN
cana-1036	106	7	of	of	ADP
cana-1036	106	8	the	the	DET
cana-1036	106	9	expected	expect	VERB
cana-1036	106	10	values	value	NOUN
cana-1036	106	11	of	of	ADP
cana-1036	106	12	various	various	ADJ
cana-1036	106	13	alternatives	alternative	NOUN
cana-1036	106	14	w.r.t	w.r.t	VERB
cana-1036	106	15	criterion	criterion	NOUN
cana-1036	106	16	.	.	PUNCT
cana-1036	107	1	𝑔𝑗	𝑔𝑗	PROPN
cana-1036	107	2	′(𝑐𝑗	′(𝑐𝑗	PROPN
cana-1036	107	3	)	)	PUNCT
cana-1036	107	4	=	=	SYM
cana-1036	107	5	1	1	NUM
cana-1036	107	6	𝑢	𝑢	PRON
cana-1036	107	7	∑	∑	PUNCT
cana-1036	107	8	(	(	PUNCT
cana-1036	107	9	|𝐸𝑖𝑗	|𝐸𝑖𝑗	NUM
cana-1036	107	10	′	′	NUM
cana-1036	107	11	−	−	NUM
cana-1036	107	12	1	1	NUM
cana-1036	107	13	𝑢	𝑢	NOUN
cana-1036	107	14	⁡∑	⁡∑	NUM
cana-1036	108	1	𝐸𝑖𝑗	𝐸𝑖𝑗	ADJ
cana-1036	108	2	′𝑣	′𝑣	NOUN
cana-1036	108	3	𝑖=1	𝑖=1	PUNCT
cana-1036	108	4	|)𝑢	|)𝑢	NUM
cana-1036	108	5	𝑗=1	𝑗=1	AUX
cana-1036	108	6	step	step	VERB
cana-1036	108	7	4	4	NUM
cana-1036	108	8	:	:	PUNCT
cana-1036	108	9	obtain	obtain	VERB
cana-1036	108	10	the	the	DET
cana-1036	108	11	weighted	weight	VERB
cana-1036	108	12	expected	expect	VERB
cana-1036	108	13	value	value	NOUN
cana-1036	108	14	for	for	ADP
cana-1036	108	15	each	each	DET
cana-1036	108	16	alternative	alternative	ADJ
cana-1036	108	17	�	�	PROPN
cana-1036	108	18	̃	̃	NOUN
cana-1036	108	19	�	�	NOUN
cana-1036	108	20	𝑖	𝑖	NUM
cana-1036	108	21	where	where	SCONJ
cana-1036	108	22	i	i	PRON
cana-1036	108	23	=	=	SYM
cana-1036	108	24	1,2,	1,2,	NUM
cana-1036	108	25	…	…	SYM
cana-1036	108	26	,u	,u	PUNCT
cana-1036	108	27	�	�	PROPN
cana-1036	108	28	̃	̃	PROPN
cana-1036	108	29	�	�	PROPN
cana-1036	108	30	(	(	PUNCT
cana-1036	108	31	�	�	PROPN
cana-1036	108	32	̃	̃	PROPN
cana-1036	108	33	�	�	NOUN
cana-1036	108	34	𝑖	𝑖	NUM
cana-1036	108	35	)	)	PUNCT
cana-1036	108	36	=	=	SYM
cana-1036	108	37	∑	∑	PUNCT
cana-1036	108	38	�	�	PROPN
cana-1036	108	39	̃	̃	PROPN
cana-1036	108	40	�	�	NOUN
cana-1036	108	41	𝑗	𝑗	NOUN
cana-1036	108	42	𝑣	𝑣	X
cana-1036	109	1	𝑗=1	𝑗=1	PROPN
cana-1036	109	2	𝐸𝑖𝑗	𝐸𝑖𝑗	ADJ
cana-1036	109	3	′	′	NUM
cana-1036	109	4	step	step	NOUN
cana-1036	109	5	5	5	NUM
cana-1036	109	6	:	:	PUNCT
cana-1036	109	7	rank	rank	VERB
cana-1036	109	8	the	the	DET
cana-1036	109	9	alternatives	alternative	NOUN
cana-1036	109	10	according	accord	VERB
cana-1036	109	11	to	to	ADP
cana-1036	109	12	the	the	DET
cana-1036	109	13	values	value	NOUN
cana-1036	109	14	.	.	PUNCT
cana-1036	110	1	4	4	X
cana-1036	110	2	.	.	NOUN
cana-1036	110	3	results	result	VERB
cana-1036	110	4	the	the	DET
cana-1036	110	5	world	world	PROPN
cana-1036	110	6	health	health	NOUN
cana-1036	110	7	organization	organization	NOUN
cana-1036	110	8	(	(	PUNCT
cana-1036	110	9	who	who	PRON
cana-1036	110	10	)	)	PUNCT
cana-1036	110	11	was	be	AUX
cana-1036	110	12	created	create	VERB
cana-1036	110	13	in	in	ADP
cana-1036	110	14	1948	1948	NUM
cana-1036	110	15	.	.	PUNCT
cana-1036	111	1	at	at	ADP
cana-1036	111	2	the	the	DET
cana-1036	111	3	time	time	NOUN
cana-1036	111	4	of	of	ADP
cana-1036	111	5	creation	creation	NOUN
cana-1036	111	6	,	,	PUNCT
cana-1036	111	7	health	health	NOUN
cana-1036	111	8	was	be	AUX
cana-1036	111	9	outlined	outline	VERB
cana-1036	111	10	as	as	ADP
cana-1036	111	11	being	be	AUX
cana-1036	111	12	"	"	PUNCT
cana-1036	111	13	a	a	DET
cana-1036	111	14	state	state	NOUN
cana-1036	111	15	of	of	ADP
cana-1036	111	16	complete	complete	ADJ
cana-1036	111	17	physical	physical	ADJ
cana-1036	111	18	,	,	PUNCT
cana-1036	111	19	mental	mental	ADJ
cana-1036	111	20	and	and	CCONJ
cana-1036	111	21	social	social	ADJ
cana-1036	111	22	wellbeing	wellbeing	NOUN
cana-1036	111	23	and	and	CCONJ
cana-1036	111	24	not	not	PART
cana-1036	111	25	merely	merely	ADV
cana-1036	111	26	the	the	DET
cana-1036	111	27	absence	absence	NOUN
cana-1036	111	28	of	of	ADP
cana-1036	111	29	disease	disease	NOUN
cana-1036	111	30	or	or	CCONJ
cana-1036	111	31	infirmity	infirmity	NOUN
cana-1036	111	32	"	"	PUNCT
cana-1036	111	33	comprehensive	comprehensive	ADJ
cana-1036	111	34	preventive	preventive	ADJ
cana-1036	111	35	health	health	NOUN
cana-1036	111	36	sources	source	NOUN
cana-1036	111	37	that	that	PRON
cana-1036	111	38	enable	enable	VERB
cana-1036	111	39	a	a	DET
cana-1036	111	40	significant	significant	ADJ
cana-1036	111	41	portion	portion	NOUN
cana-1036	111	42	of	of	ADP
cana-1036	111	43	curative	curative	ADJ
cana-1036	111	44	and	and	CCONJ
cana-1036	111	45	rehabilitative	rehabilitative	ADJ
cana-1036	111	46	services	service	NOUN
cana-1036	111	47	to	to	PART
cana-1036	111	48	be	be	AUX
cana-1036	111	49	included	include	VERB
cana-1036	111	50	in	in	ADP
cana-1036	111	51	occupational	occupational	ADJ
cana-1036	111	52	health	health	NOUN
cana-1036	111	53	services	service	NOUN
cana-1036	111	54	.	.	PUNCT
cana-1036	112	1	subsequent	subsequent	ADJ
cana-1036	112	2	research	research	NOUN
cana-1036	112	3	concentrated	concentrate	VERB
cana-1036	112	4	on	on	ADP
cana-1036	112	5	the	the	DET
cana-1036	112	6	physiological	physiological	ADJ
cana-1036	112	7	and	and	CCONJ
cana-1036	112	8	psychological	psychological	ADJ
cana-1036	112	9	characteristics	characteristic	NOUN
cana-1036	112	10	of	of	ADP
cana-1036	112	11	workers	worker	NOUN
cana-1036	112	12	and	and	CCONJ
cana-1036	112	13	their	their	PRON
cana-1036	112	14	management	management	NOUN
cana-1036	112	15	.	.	PUNCT
cana-1036	113	1	here	here	ADV
cana-1036	113	2	,	,	PUNCT
cana-1036	113	3	we	we	PRON
cana-1036	113	4	considered	consider	VERB
cana-1036	113	5	police	police	NOUN
cana-1036	113	6	officers	officer	NOUN
cana-1036	113	7	to	to	PART
cana-1036	113	8	be	be	AUX
cana-1036	113	9	the	the	DET
cana-1036	113	10	high	high	ADJ
cana-1036	113	11	-	-	PUNCT
cana-1036	113	12	risk	risk	NOUN
cana-1036	113	13	category	category	NOUN
cana-1036	113	14	for	for	ADP
cana-1036	113	15	mental	mental	ADJ
cana-1036	113	16	health	health	NOUN
cana-1036	113	17	development	development	NOUN
cana-1036	113	18	disturbances	disturbance	NOUN
cana-1036	113	19	due	due	ADJ
cana-1036	113	20	to	to	ADP
cana-1036	113	21	numerous	numerous	ADJ
cana-1036	113	22	serious	serious	ADJ
cana-1036	113	23	incidents	incident	NOUN
cana-1036	113	24	as	as	ADV
cana-1036	113	25	well	well	ADV
cana-1036	113	26	as	as	ADP
cana-1036	113	27	potentially	potentially	ADV
cana-1036	113	28	traumatic	traumatic	ADJ
cana-1036	113	29	incidents	incident	NOUN
cana-1036	113	30	that	that	PRON
cana-1036	113	31	occurred	occur	VERB
cana-1036	113	32	during	during	ADP
cana-1036	113	33	their	their	PRON
cana-1036	113	34	careers	career	NOUN
cana-1036	113	35	.	.	PUNCT
cana-1036	114	1	these	these	PRON
cana-1036	114	2	include	include	VERB
cana-1036	114	3	things	thing	NOUN
cana-1036	114	4	like	like	ADP
cana-1036	114	5	seeing	see	VERB
cana-1036	114	6	children	child	NOUN
cana-1036	114	7	die	die	VERB
cana-1036	114	8	,	,	PUNCT
cana-1036	114	9	interacting	interact	VERB
cana-1036	114	10	with	with	ADP
cana-1036	114	11	sexual	sexual	ADJ
cana-1036	114	12	harassment	harassment	NOUN
cana-1036	114	13	victims	victim	NOUN
cana-1036	114	14	,	,	PUNCT
cana-1036	114	15	experiencing	experience	VERB
cana-1036	114	16	major	major	ADJ
cana-1036	114	17	traffic	traffic	NOUN
cana-1036	114	18	mishaps	mishap	NOUN
cana-1036	114	19	,	,	PUNCT
cana-1036	114	20	suicide	suicide	NOUN
cana-1036	114	21	,	,	PUNCT
cana-1036	114	22	and	and	CCONJ
cana-1036	114	23	violent	violent	ADJ
cana-1036	114	24	incidents	incident	NOUN
cana-1036	114	25	.	.	PUNCT
cana-1036	115	1	these	these	PRON
cana-1036	115	2	are	be	AUX
cana-1036	115	3	referred	refer	VERB
cana-1036	115	4	to	to	ADP
cana-1036	115	5	as	as	ADP
cana-1036	115	6	operational	operational	ADJ
cana-1036	115	7	aggravation	aggravation	NOUN
cana-1036	115	8	.	.	PUNCT
cana-1036	116	1	the	the	DET
cana-1036	116	2	likelihood	likelihood	NOUN
cana-1036	116	3	of	of	ADP
cana-1036	116	4	experiencing	experience	VERB
cana-1036	116	5	symptoms	symptom	NOUN
cana-1036	116	6	of	of	ADP
cana-1036	116	7	hostility	hostility	NOUN
cana-1036	116	8	,	,	PUNCT
cana-1036	116	9	anxiety	anxiety	NOUN
cana-1036	116	10	,	,	PUNCT
cana-1036	116	11	as	as	ADV
cana-1036	116	12	well	well	ADV
cana-1036	116	13	as	as	ADP
cana-1036	116	14	fatigue	fatigue	NOUN
cana-1036	116	15	may	may	AUX
cana-1036	116	16	arise	arise	VERB
cana-1036	116	17	due	due	ADP
cana-1036	116	18	to	to	ADP
cana-1036	116	19	these	these	DET
cana-1036	116	20	operational	operational	ADJ
cana-1036	116	21	stressors	stressor	NOUN
cana-1036	116	22	.	.	PUNCT
cana-1036	117	1	disorders	disorder	NOUN
cana-1036	117	2	like	like	ADP
cana-1036	117	3	depression	depression	NOUN
cana-1036	117	4	and	and	CCONJ
cana-1036	117	5	post	post	ADJ
cana-1036	117	6	-	-	ADJ
cana-1036	117	7	traumatic	traumatic	ADJ
cana-1036	117	8	stress	stress	NOUN
cana-1036	117	9	disorder	disorder	NOUN
cana-1036	117	10	may	may	AUX
cana-1036	117	11	strike	strike	VERB
cana-1036	117	12	some	some	DET
cana-1036	117	13	people	people	NOUN
cana-1036	117	14	.	.	PUNCT
cana-1036	118	1	communications	communication	NOUN
cana-1036	118	2	on	on	ADP
cana-1036	118	3	applied	apply	VERB
cana-1036	118	4	nonlinear	nonlinear	ADJ
cana-1036	118	5	analysis	analysis	NOUN
cana-1036	118	6	issn	issn	NOUN
cana-1036	118	7	:	:	PUNCT
cana-1036	118	8	1074	1074	NUM
cana-1036	118	9	-	-	PUNCT
cana-1036	118	10	133x	133x	NUM
cana-1036	118	11	vol	vol	NOUN
cana-1036	118	12	31	31	NUM
cana-1036	118	13	no	no	NOUN
cana-1036	118	14	.	.	PUNCT
cana-1036	119	1	5s	5s	NUM
cana-1036	119	2	(	(	PUNCT
cana-1036	119	3	2024	2024	NUM
cana-1036	119	4	)	)	PUNCT
cana-1036	119	5	284	284	NUM
cana-1036	119	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1036	119	7	as	as	ADP
cana-1036	119	8	a	a	DET
cana-1036	119	9	result	result	NOUN
cana-1036	119	10	of	of	ADP
cana-1036	119	11	psychological	psychological	ADJ
cana-1036	119	12	issues	issue	NOUN
cana-1036	119	13	,	,	PUNCT
cana-1036	119	14	the	the	DET
cana-1036	119	15	majority	majority	NOUN
cana-1036	119	16	of	of	ADP
cana-1036	119	17	the	the	DET
cana-1036	119	18	police	police	NOUN
cana-1036	119	19	officers	officer	NOUN
cana-1036	119	20	experience	experience	VERB
cana-1036	119	21	the	the	DET
cana-1036	119	22	10	10	NUM
cana-1036	119	23	diseases	disease	NOUN
cana-1036	119	24	as	as	SCONJ
cana-1036	119	25	mentioned	mention	VERB
cana-1036	119	26	below	below	ADV
cana-1036	119	27	:	:	PUNCT
cana-1036	119	28	d1irritable	d1irritable	ADJ
cana-1036	119	29	bowel	bowel	NOUN
cana-1036	119	30	syndrome	syndrome	NOUN
cana-1036	119	31	/	/	SYM
cana-1036	119	32	d2constipation	d2constipation	NOUN
cana-1036	119	33	/	/	SYM
cana-1036	119	34	d3high	d3high	ADJ
cana-1036	119	35	blood	blood	NOUN
cana-1036	119	36	pressure	pressure	NOUN
cana-1036	119	37	/	/	SYM
cana-1036	119	38	d4	d4	PROPN
cana-1036	119	39	headaches/	headaches/	NUM
cana-1036	119	40	d5cardiovascular	d5cardiovascular	NOUN
cana-1036	119	41	diseases/	diseases/	NUM
cana-1036	119	42	d6insomnia/	d6insomnia/	NOUN
cana-1036	119	43	d7nausea/	d7nausea/	NOUN
cana-1036	119	44	d8diabetic/	d8diabetic/	PROPN
cana-1036	119	45	d9arthritis/	d9arthritis/	PROPN
cana-1036	119	46	d10	d10	PROPN
cana-1036	119	47	mental	mental	ADJ
cana-1036	119	48	fatigue	fatigue	NOUN
cana-1036	119	49	.	.	PUNCT
cana-1036	120	1	the	the	DET
cana-1036	120	2	alternatives	alternative	NOUN
cana-1036	120	3	with	with	ADP
cana-1036	120	4	respect	respect	NOUN
cana-1036	120	5	to	to	ADP
cana-1036	120	6	the	the	DET
cana-1036	120	7	criterion	criterion	NOUN
cana-1036	120	8	are	be	AUX
cana-1036	120	9	𝐴1tightness	𝐴1tightness	ADJ
cana-1036	120	10	;	;	PUNCT
cana-1036	120	11	𝐴2tensity	𝐴2tensity	NOUN
cana-1036	120	12	;	;	PUNCT
cana-1036	120	13	𝐴3	𝐴3	PROPN
cana-1036	120	14	worry	worry	NOUN
cana-1036	120	15	;	;	PUNCT
cana-1036	120	16	𝐴4strain	𝐴4strain	ADV
cana-1036	120	17	;	;	PUNCT
cana-1036	120	18	𝐴5anger	𝐴5anger	X
cana-1036	120	19	let	let	VERB
cana-1036	120	20	's	us	PRON
cana-1036	120	21	look	look	VERB
cana-1036	120	22	at	at	ADP
cana-1036	120	23	the	the	DET
cana-1036	120	24	7	7	NUM
cana-1036	120	25	linguistic	linguistic	ADJ
cana-1036	120	26	variable	variable	ADJ
cana-1036	120	27	scale	scale	NOUN
cana-1036	120	28	chen	chen	PROPN
cana-1036	120	29	(	(	PUNCT
cana-1036	120	30	2000	2000	NUM
cana-1036	120	31	)	)	PUNCT
cana-1036	120	32	table:1	table:1	NOUN
cana-1036	120	33	“	"	PUNCT
cana-1036	120	34	linguistic	linguistic	ADJ
cana-1036	120	35	variable	variable	ADJ
cana-1036	120	36	linguistic	linguistic	ADJ
cana-1036	120	37	value	value	NOUN
cana-1036	120	38	very	very	ADV
cana-1036	120	39	low	low	ADJ
cana-1036	120	40	(	(	PUNCT
cana-1036	120	41	𝑘1	𝑘1	PROPN
cana-1036	120	42	)	)	PUNCT
cana-1036	120	43	(	(	PUNCT
cana-1036	120	44	0,0,0.1	0,0,0.1	PROPN
cana-1036	120	45	)	)	PUNCT
cana-1036	120	46	low	low	NOUN
cana-1036	120	47	(	(	PUNCT
cana-1036	120	48	𝑘2	𝑘2	PROPN
cana-1036	120	49	)	)	PUNCT
cana-1036	120	50	(	(	PUNCT
cana-1036	120	51	0,0.1,0.3	0,0.1,0.3	NOUN
cana-1036	120	52	)	)	PUNCT
cana-1036	120	53	medium	medium	ADJ
cana-1036	120	54	low	low	ADJ
cana-1036	120	55	(	(	PUNCT
cana-1036	120	56	𝑘3	𝑘3	PROPN
cana-1036	120	57	)	)	PUNCT
cana-1036	120	58	(	(	PUNCT
cana-1036	120	59	0.1,0.3,0.5	0.1,0.3,0.5	NOUN
cana-1036	120	60	)	)	PUNCT
cana-1036	120	61	medium	medium	NOUN
cana-1036	120	62	(	(	PUNCT
cana-1036	120	63	𝑘4	𝑘4	PROPN
cana-1036	120	64	)	)	PUNCT
cana-1036	120	65	(	(	PUNCT
cana-1036	120	66	0.3,0.5,0.7	0.3,0.5,0.7	ADJ
cana-1036	120	67	)	)	PUNCT
cana-1036	120	68	medium	medium	ADJ
cana-1036	120	69	-	-	PUNCT
cana-1036	120	70	high	high	ADJ
cana-1036	120	71	(	(	PUNCT
cana-1036	120	72	𝑘5	𝑘5	PROPN
cana-1036	120	73	)	)	PUNCT
cana-1036	120	74	(	(	PUNCT
cana-1036	120	75	0.5,0.7,0.9	0.5,0.7,0.9	NOUN
cana-1036	120	76	)	)	PUNCT
cana-1036	120	77	high	high	ADJ
cana-1036	120	78	(	(	PUNCT
cana-1036	120	79	𝑘6	𝑘6	PROPN
cana-1036	120	80	)	)	PUNCT
cana-1036	120	81	(	(	PUNCT
cana-1036	120	82	0.7,0.9,1	0.7,0.9,1	NUM
cana-1036	120	83	)	)	PUNCT
cana-1036	120	84	very	very	ADV
cana-1036	120	85	high	high	ADJ
cana-1036	120	86	(	(	PUNCT
cana-1036	120	87	𝑘7	𝑘7	PROPN
cana-1036	120	88	)	)	PUNCT
cana-1036	120	89	(	(	PUNCT
cana-1036	120	90	0.9,1,1	0.9,1,1	NOUN
cana-1036	120	91	)	)	PUNCT
cana-1036	120	92	”	"	PUNCT
cana-1036	120	93	these	these	DET
cana-1036	120	94	substitutes	substitute	NOUN
cana-1036	120	95	are	be	AUX
cana-1036	120	96	given	give	VERB
cana-1036	120	97	by	by	ADP
cana-1036	120	98	5	5	NUM
cana-1036	120	99	experts	expert	NOUN
cana-1036	120	100	as	as	ADP
cana-1036	120	101	a	a	DET
cana-1036	120	102	linguistic	linguistic	ADJ
cana-1036	120	103	variable	variable	ADJ
cana-1036	120	104	chen	chen	NOUN
cana-1036	120	105	(	(	PUNCT
cana-1036	120	106	2000	2000	NUM
cana-1036	120	107	)	)	PUNCT
cana-1036	120	108	,	,	PUNCT
cana-1036	120	109	as	as	SCONJ
cana-1036	120	110	shown	show	VERB
cana-1036	120	111	in	in	ADP
cana-1036	120	112	the	the	DET
cana-1036	120	113	table	table	NOUN
cana-1036	120	114	below	below	ADP
cana-1036	120	115	table:2	table:2	PROPN
cana-1036	120	116	�	�	PROPN
cana-1036	120	117	̃	̃	PROPN
cana-1036	120	118	�	�	PROPN
cana-1036	120	119	1	1	NUM
cana-1036	120	120	�	�	PROPN
cana-1036	120	121	̃	̃	PROPN
cana-1036	120	122	�	�	PROPN
cana-1036	120	123	2	2	NUM
cana-1036	120	124	�	�	PROPN
cana-1036	120	125	̃	̃	PROPN
cana-1036	120	126	�	�	PROPN
cana-1036	120	127	3	3	NUM
cana-1036	120	128	�	�	PROPN
cana-1036	120	129	̃	̃	PROPN
cana-1036	120	130	�	�	PROPN
cana-1036	120	131	4	4	NUM
cana-1036	120	132	�	�	PROPN
cana-1036	120	133	̃	̃	PROPN
cana-1036	120	134	�	�	PROPN
cana-1036	120	135	5	5	NUM
cana-1036	120	136	�	�	PROPN
cana-1036	120	137	̃	̃	PROPN
cana-1036	120	138	�	�	PROPN
cana-1036	120	139	6	6	NUM
cana-1036	120	140	�	�	PROPN
cana-1036	120	141	̃	̃	PROPN
cana-1036	120	142	�	�	PROPN
cana-1036	120	143	7	7	NUM
cana-1036	120	144	�	�	PROPN
cana-1036	120	145	̃	̃	PROPN
cana-1036	120	146	�	�	PROPN
cana-1036	120	147	8	8	NUM
cana-1036	120	148	�	�	PROPN
cana-1036	120	149	̃	̃	PROPN
cana-1036	120	150	�	�	PROPN
cana-1036	120	151	9	9	NUM
cana-1036	120	152	�	�	PROPN
cana-1036	120	153	̃	̃	PROPN
cana-1036	120	154	�	�	PROPN
cana-1036	120	155	10	10	NUM
cana-1036	120	156	�	�	PROPN
cana-1036	120	157	̃	̃	PROPN
cana-1036	120	158	�	�	SYM
cana-1036	120	159	1	1	NUM
cana-1036	120	160	𝑘6	𝑘6	NOUN
cana-1036	120	161	𝑘4	𝑘4	PROPN
cana-1036	120	162	𝑘5	𝑘5	PROPN
cana-1036	121	1	𝑘3	𝑘3	PROPN
cana-1036	121	2	𝑘6	𝑘6	PROPN
cana-1036	121	3	𝑘4	𝑘4	PROPN
cana-1036	121	4	𝑘5	𝑘5	PROPN
cana-1036	121	5	𝑘3	𝑘3	PROPN
cana-1036	121	6	𝑘6	𝑘6	PROPN
cana-1036	121	7	𝑘4	𝑘4	PROPN
cana-1036	121	8	𝑘6	𝑘6	PROPN
cana-1036	121	9	𝑘6	𝑘6	PROPN
cana-1036	121	10	𝑘7	𝑘7	PROPN
cana-1036	121	11	𝑘6	𝑘6	PROPN
cana-1036	121	12	𝑘6	𝑘6	PROPN
cana-1036	121	13	𝑘5	𝑘5	PROPN
cana-1036	121	14	𝑘6	𝑘6	PROPN
cana-1036	121	15	𝑘6	𝑘6	PROPN
cana-1036	121	16	𝑘5	𝑘5	PROPN
cana-1036	121	17	𝑘6	𝑘6	PROPN
cana-1036	121	18	𝑘6	𝑘6	PROPN
cana-1036	121	19	𝑘7	𝑘7	ADJ
cana-1036	121	20	𝑘5	𝑘5	PROPN
cana-1036	121	21	𝑘6	𝑘6	PROPN
cana-1036	121	22	𝑘6	𝑘6	PROPN
cana-1036	122	1	𝑘5	𝑘5	PROPN
cana-1036	122	2	𝑘3	𝑘3	PROPN
cana-1036	122	3	𝑘6	𝑘6	VERB
cana-1036	123	1	𝑘5	𝑘5	PROPN
cana-1036	123	2	𝑘4	𝑘4	PROPN
cana-1036	123	3	𝑘4	𝑘4	PROPN
cana-1036	123	4	𝑘5	𝑘5	PROPN
cana-1036	123	5	𝑘2	𝑘2	PROPN
cana-1036	123	6	𝑘1	𝑘1	PROPN
cana-1036	123	7	𝑘1	𝑘1	PROPN
cana-1036	123	8	𝑘2	𝑘2	PROPN
cana-1036	123	9	𝑘7	𝑘7	PROPN
cana-1036	123	10	𝑘6	𝑘6	PROPN
cana-1036	123	11	𝑘6	𝑘6	PROPN
cana-1036	123	12	𝑘5	𝑘5	PROPN
cana-1036	123	13	�	�	PROPN
cana-1036	123	14	̃	̃	PROPN
cana-1036	123	15	�	�	SYM
cana-1036	123	16	2	2	NUM
cana-1036	123	17	𝑘6	𝑘6	NOUN
cana-1036	123	18	𝑘5	𝑘5	PROPN
cana-1036	123	19	𝑘4	𝑘4	PROPN
cana-1036	123	20	𝑘6	𝑘6	PROPN
cana-1036	123	21	𝑘6	𝑘6	PROPN
cana-1036	123	22	𝑘5	𝑘5	PROPN
cana-1036	123	23	𝑘4	𝑘4	PROPN
cana-1036	123	24	𝑘5	𝑘5	PROPN
cana-1036	123	25	𝑘6	𝑘6	VERB
cana-1036	123	26	𝑘7	𝑘7	PROPN
cana-1036	123	27	𝑘6	𝑘6	PROPN
cana-1036	123	28	𝑘6	𝑘6	PROPN
cana-1036	123	29	𝑘7	𝑘7	PROPN
cana-1036	123	30	𝑘5	𝑘5	PROPN
cana-1036	123	31	𝑘6	𝑘6	PROPN
cana-1036	123	32	𝑘4	𝑘4	PROPN
cana-1036	123	33	𝑘6	𝑘6	PROPN
cana-1036	123	34	𝑘4	𝑘4	PROPN
cana-1036	123	35	𝑘5	𝑘5	PROPN
cana-1036	124	1	𝑘4	𝑘4	PROPN
cana-1036	124	2	𝑘4	𝑘4	PROPN
cana-1036	124	3	𝑘4	𝑘4	PROPN
cana-1036	124	4	𝑘3	𝑘3	PROPN
cana-1036	124	5	𝑘4	𝑘4	PROPN
cana-1036	124	6	𝑘3	𝑘3	PROPN
cana-1036	124	7	𝑘2	𝑘2	PROPN
cana-1036	124	8	𝑘3	𝑘3	PROPN
cana-1036	124	9	𝑘2	𝑘2	PROPN
cana-1036	124	10	𝑘4	𝑘4	PROPN
cana-1036	124	11	𝑘3	𝑘3	PROPN
cana-1036	124	12	𝑘2	𝑘2	PROPN
cana-1036	124	13	𝑘3	𝑘3	PROPN
cana-1036	124	14	𝑘2	𝑘2	PROPN
cana-1036	124	15	𝑘1	𝑘1	PROPN
cana-1036	124	16	𝑘1	𝑘1	PROPN
cana-1036	124	17	𝑘1	𝑘1	PROPN
cana-1036	124	18	𝑘6	𝑘6	PROPN
cana-1036	124	19	𝑘6	𝑘6	PROPN
cana-1036	124	20	𝑘5	𝑘5	PROPN
cana-1036	124	21	𝑘6	𝑘6	PROPN
cana-1036	124	22	�	�	PROPN
cana-1036	124	23	̃	̃	PROPN
cana-1036	124	24	�	�	PROPN
cana-1036	124	25	3	3	NUM
cana-1036	124	26	𝑘6	𝑘6	PROPN
cana-1036	124	27	𝑘6	𝑘6	PROPN
cana-1036	124	28	𝑘6	𝑘6	PROPN
cana-1036	124	29	𝑘6	𝑘6	PROPN
cana-1036	124	30	𝑘6	𝑘6	PROPN
cana-1036	124	31	𝑘7	𝑘7	PROPN
cana-1036	124	32	𝑘6	𝑘6	PROPN
cana-1036	124	33	𝑘5	𝑘5	PROPN
cana-1036	124	34	𝑘7	𝑘7	PROPN
cana-1036	124	35	𝑘6	𝑘6	PROPN
cana-1036	124	36	𝑘7	𝑘7	PROPN
cana-1036	124	37	𝑘6	𝑘6	PROPN
cana-1036	124	38	𝑘7	𝑘7	PROPN
cana-1036	124	39	𝑘6	𝑘6	PROPN
cana-1036	124	40	𝑘7	𝑘7	PROPN
cana-1036	124	41	𝑘7	𝑘7	PROPN
cana-1036	124	42	𝑘6	𝑘6	PROPN
cana-1036	124	43	𝑘5	𝑘5	PROPN
cana-1036	124	44	𝑘6	𝑘6	PROPN
cana-1036	124	45	𝑘6	𝑘6	PROPN
cana-1036	124	46	𝑘7	𝑘7	PROPN
cana-1036	124	47	𝑘6	𝑘6	PROPN
cana-1036	124	48	𝑘7	𝑘7	NOUN
cana-1036	124	49	𝑘7	𝑘7	PROPN
cana-1036	124	50	𝑘5	𝑘5	PROPN
cana-1036	124	51	𝑘6	𝑘6	PROPN
cana-1036	124	52	𝑘3	𝑘3	PROPN
cana-1036	124	53	𝑘6	𝑘6	PROPN
cana-1036	124	54	𝑘3	𝑘3	PROPN
cana-1036	124	55	𝑘4	𝑘4	PROPN
cana-1036	124	56	𝑘2	𝑘2	PROPN
cana-1036	124	57	𝑘5	𝑘5	PROPN
cana-1036	124	58	𝑘3	𝑘3	PROPN
cana-1036	125	1	𝑘2	𝑘2	PROPN
cana-1036	125	2	𝑘2	𝑘2	PROPN
cana-1036	125	3	𝑘4	𝑘4	PROPN
cana-1036	125	4	𝑘7	𝑘7	PROPN
cana-1036	125	5	𝑘7	𝑘7	PROPN
cana-1036	125	6	𝑘6	𝑘6	PROPN
cana-1036	125	7	𝑘7	𝑘7	PROPN
cana-1036	125	8	�	�	PROPN
cana-1036	125	9	̃	̃	PROPN
cana-1036	125	10	�	�	PROPN
cana-1036	125	11	4	4	NUM
cana-1036	125	12	𝑘3	𝑘3	PROPN
cana-1036	125	13	𝑘6	𝑘6	NOUN
cana-1036	125	14	𝑘6	𝑘6	PROPN
cana-1036	125	15	𝑘5	𝑘5	PROPN
cana-1036	125	16	𝑘2	𝑘2	PROPN
cana-1036	125	17	𝑘1	𝑘1	PROPN
cana-1036	125	18	𝑘2	𝑘2	PROPN
cana-1036	125	19	𝑘3	𝑘3	PROPN
cana-1036	125	20	𝑘6	𝑘6	PROPN
cana-1036	125	21	𝑘5	𝑘5	PROPN
cana-1036	125	22	𝑘3	𝑘3	PROPN
cana-1036	125	23	𝑘4	𝑘4	PROPN
cana-1036	125	24	𝑘1	𝑘1	PROPN
cana-1036	125	25	𝑘4	𝑘4	PROPN
cana-1036	125	26	𝑘3	𝑘3	PROPN
cana-1036	125	27	𝑘4	𝑘4	PROPN
cana-1036	125	28	𝑘2	𝑘2	PROPN
cana-1036	125	29	𝑘1	𝑘1	PROPN
cana-1036	125	30	𝑘1	𝑘1	PROPN
cana-1036	125	31	𝑘2	𝑘2	PROPN
cana-1036	125	32	𝑘6	𝑘6	PROPN
cana-1036	125	33	𝑘7	𝑘7	PROPN
cana-1036	125	34	𝑘6	𝑘6	PROPN
cana-1036	125	35	𝑘6	𝑘6	PROPN
cana-1036	125	36	𝑘5	𝑘5	PROPN
cana-1036	125	37	𝑘6	𝑘6	PROPN
cana-1036	125	38	𝑘3	𝑘3	PROPN
cana-1036	125	39	𝑘4	𝑘4	PROPN
cana-1036	125	40	𝑘1	𝑘1	PROPN
cana-1036	125	41	𝑘2	𝑘2	PROPN
cana-1036	125	42	𝑘1	𝑘1	PROPN
cana-1036	125	43	𝑘2	𝑘2	PROPN
cana-1036	125	44	𝑘2	𝑘2	PROPN
cana-1036	125	45	𝑘1	𝑘1	PROPN
cana-1036	125	46	𝑘2	𝑘2	PROPN
cana-1036	125	47	𝑘1	𝑘1	PROPN
cana-1036	125	48	𝑘6	𝑘6	PROPN
cana-1036	125	49	𝑘5	𝑘5	PROPN
cana-1036	125	50	𝑘7	𝑘7	PROPN
cana-1036	125	51	𝑘6	𝑘6	PROPN
cana-1036	125	52	�	�	PROPN
cana-1036	125	53	̃	̃	PROPN
cana-1036	125	54	�	�	PROPN
cana-1036	125	55	5	5	NUM
cana-1036	125	56	𝑘3	𝑘3	PROPN
cana-1036	126	1	𝑘5	𝑘5	NOUN
cana-1036	126	2	𝑘4	𝑘4	PROPN
cana-1036	126	3	𝑘2	𝑘2	PROPN
cana-1036	126	4	𝑘2	𝑘2	PROPN
cana-1036	126	5	𝑘3	𝑘3	PROPN
cana-1036	126	6	𝑘1	𝑘1	VERB
cana-1036	126	7	𝑘2	𝑘2	PROPN
cana-1036	126	8	𝑘6	𝑘6	PROPN
cana-1036	126	9	𝑘5	𝑘5	PROPN
cana-1036	126	10	𝑘7	𝑘7	PROPN
cana-1036	126	11	𝑘6	𝑘6	PROPN
cana-1036	126	12	𝑘6	𝑘6	PROPN
cana-1036	126	13	𝑘7	𝑘7	PROPN
cana-1036	126	14	𝑘6	𝑘6	PROPN
cana-1036	126	15	𝑘5	𝑘5	PROPN
cana-1036	126	16	𝑘6	𝑘6	PROPN
cana-1036	126	17	𝑘5	𝑘5	PROPN
cana-1036	127	1	𝑘3	𝑘3	PROPN
cana-1036	127	2	𝑘4	𝑘4	PROPN
cana-1036	127	3	𝑘2	𝑘2	PROPN
cana-1036	127	4	𝑘1	𝑘1	PROPN
cana-1036	127	5	𝑘3	𝑘3	PROPN
cana-1036	127	6	𝑘4	𝑘4	PROPN
cana-1036	127	7	𝑘1	𝑘1	PROPN
cana-1036	127	8	𝑘3	𝑘3	PROPN
cana-1036	127	9	𝑘4	𝑘4	PROPN
cana-1036	127	10	𝑘2	𝑘2	PROPN
cana-1036	127	11	𝑘2	𝑘2	PROPN
cana-1036	127	12	𝑘1	𝑘1	PROPN
cana-1036	127	13	𝑘4	𝑘4	PROPN
cana-1036	127	14	𝑘3	𝑘3	PROPN
cana-1036	127	15	𝑘2	𝑘2	PROPN
cana-1036	127	16	𝑘1	𝑘1	PROPN
cana-1036	127	17	𝑘2	𝑘2	PROPN
cana-1036	127	18	𝑘2	𝑘2	PROPN
cana-1036	127	19	𝑘4	𝑘4	PROPN
cana-1036	127	20	𝑘3	𝑘3	PROPN
cana-1036	127	21	𝑘4	𝑘4	PROPN
cana-1036	127	22	𝑘5	𝑘5	PROPN
cana-1036	127	23	table:3	table:3	ADP
cana-1036	127	24	communications	communication	NOUN
cana-1036	127	25	on	on	ADP
cana-1036	127	26	applied	apply	VERB
cana-1036	127	27	nonlinear	nonlinear	ADJ
cana-1036	127	28	analysis	analysis	NOUN
cana-1036	127	29	issn	issn	NOUN
cana-1036	127	30	:	:	PUNCT
cana-1036	127	31	1074	1074	NUM
cana-1036	127	32	-	-	PUNCT
cana-1036	127	33	133x	133x	NUM
cana-1036	127	34	vol	vol	NOUN
cana-1036	127	35	31	31	NUM
cana-1036	127	36	no	no	NOUN
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cana-1036	128	8	̃	̃	PROPN
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cana-1036	128	10	1	1	NUM
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cana-1036	128	12	̃	̃	PROPN
cana-1036	128	13	�	�	PROPN
cana-1036	128	14	2	2	NUM
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cana-1036	128	16	̃	̃	PROPN
cana-1036	128	17	�	�	PROPN
cana-1036	128	18	3	3	NUM
cana-1036	128	19	�	�	PROPN
cana-1036	128	20	̃	̃	PROPN
cana-1036	128	21	�	�	PROPN
cana-1036	128	22	4	4	NUM
cana-1036	128	23	�	�	PROPN
cana-1036	128	24	̃	̃	PROPN
cana-1036	128	25	�	�	PROPN
cana-1036	128	26	5	5	NUM
cana-1036	128	27	�	�	PROPN
cana-1036	128	28	̃	̃	PROPN
cana-1036	128	29	�	�	PROPN
cana-1036	128	30	6	6	NUM
cana-1036	128	31	�	�	PROPN
cana-1036	128	32	̃	̃	PROPN
cana-1036	128	33	�	�	PROPN
cana-1036	128	34	7	7	NUM
cana-1036	128	35	�	�	PROPN
cana-1036	128	36	̃	̃	PROPN
cana-1036	128	37	�	�	PROPN
cana-1036	128	38	8	8	NUM
cana-1036	128	39	�	�	PROPN
cana-1036	128	40	̃	̃	PROPN
cana-1036	128	41	�	�	PROPN
cana-1036	128	42	9	9	NUM
cana-1036	128	43	�	�	PROPN
cana-1036	128	44	̃	̃	PROPN
cana-1036	128	45	�	�	PROPN
cana-1036	128	46	10	10	NUM
cana-1036	128	47	�	�	PROPN
cana-1036	128	48	̃	̃	NOUN
cana-1036	128	49	�	�	NOUN
cana-1036	128	50	1	1	NUM
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cana-1036	128	53	,	,	PUNCT
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cana-1036	128	56	(	(	PUNCT
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cana-1036	128	63	,	,	PUNCT
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cana-1036	128	73	,	,	PUNCT
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cana-1036	128	78	,	,	PUNCT
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cana-1036	128	83	,	,	PUNCT
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cana-1036	128	93	,	,	PUNCT
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cana-1036	128	98	,	,	PUNCT
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cana-1036	128	103	,	,	PUNCT
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cana-1036	128	107	0.9,1,1	0.9,1,1	NOUN
cana-1036	128	108	)	)	PUNCT
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cana-1036	128	116	,	,	PUNCT
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cana-1036	128	121	,	,	PUNCT
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cana-1036	128	126	,	,	PUNCT
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cana-1036	128	131	,	,	PUNCT
cana-1036	128	132	1	1	NUM
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cana-1036	128	134	(	(	PUNCT
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cana-1036	128	136	,	,	PUNCT
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cana-1036	128	146	,	,	PUNCT
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cana-1036	128	159	,	,	PUNCT
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cana-1036	128	194	,	,	PUNCT
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cana-1036	128	212	)	)	PUNCT
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cana-1036	128	233	,	,	PUNCT
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cana-1036	128	306	(	(	PUNCT
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cana-1036	128	314	1	1	NUM
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cana-1036	128	323	,	,	PUNCT
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cana-1036	128	773	)	)	PUNCT
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cana-1036	128	776	,	,	PUNCT
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cana-1036	128	778	)	)	PUNCT
cana-1036	128	779	�	�	PROPN
cana-1036	128	780	̃	̃	PROPN
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cana-1036	128	782	5	5	NUM
cana-1036	128	783	(	(	PUNCT
cana-1036	128	784	0.1,0.3,0	0.1,0.3,0	NUM
cana-1036	128	785	.5	.5	NUM
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cana-1036	128	788	0.5,0.7	0.5,0.7	PROPN
cana-1036	128	789	,	,	PUNCT
cana-1036	128	790	0.9	0.9	NUM
cana-1036	128	791	)	)	PUNCT
cana-1036	128	792	(	(	PUNCT
cana-1036	128	793	0.3,0.5	0.3,0.5	PROPN
cana-1036	128	794	,	,	PUNCT
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cana-1036	128	796	)	)	PUNCT
cana-1036	128	797	(	(	PUNCT
cana-1036	128	798	0,0.1,0	0,0.1,0	X
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cana-1036	128	801	)	)	PUNCT
cana-1036	128	802	(	(	PUNCT
cana-1036	128	803	0,0.1,0	0,0.1,0	X
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cana-1036	128	805	3	3	NUM
cana-1036	128	806	)	)	PUNCT
cana-1036	128	807	(	(	PUNCT
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cana-1036	128	809	,	,	PUNCT
cana-1036	128	810	0.5	0.5	NUM
cana-1036	128	811	)	)	PUNCT
cana-1036	128	812	(	(	PUNCT
cana-1036	128	813	0,0,0.1	0,0,0.1	PROPN
cana-1036	128	814	)	)	PUNCT
cana-1036	128	815	(	(	PUNCT
cana-1036	128	816	0,0.1,0	0,0.1,0	X
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cana-1036	128	818	3	3	NUM
cana-1036	128	819	)	)	PUNCT
cana-1036	128	820	(	(	PUNCT
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cana-1036	128	822	,	,	PUNCT
cana-1036	128	823	1	1	NUM
cana-1036	128	824	)	)	PUNCT
cana-1036	128	825	(	(	PUNCT
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cana-1036	128	827	,	,	PUNCT
cana-1036	128	828	0.9	0.9	NUM
cana-1036	128	829	)	)	PUNCT
cana-1036	128	830	(	(	PUNCT
cana-1036	128	831	0.9,1,1	0.9,1,1	X
cana-1036	128	832	(	(	PUNCT
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cana-1036	128	834	,	,	PUNCT
cana-1036	128	835	1	1	NUM
cana-1036	128	836	)	)	PUNCT
cana-1036	128	837	(	(	PUNCT
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cana-1036	128	839	)	)	PUNCT
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cana-1036	128	842	,	,	PUNCT
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cana-1036	128	844	)	)	PUNCT
cana-1036	128	845	(	(	PUNCT
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cana-1036	128	847	,	,	PUNCT
cana-1036	128	848	0.9	0.9	NUM
cana-1036	128	849	)	)	PUNCT
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cana-1036	128	852	,	,	PUNCT
cana-1036	128	853	1	1	NUM
cana-1036	128	854	)	)	PUNCT
cana-1036	128	855	(	(	PUNCT
cana-1036	128	856	0.5,0.7	0.5,0.7	PROPN
cana-1036	128	857	,	,	PUNCT
cana-1036	128	858	0.9	0.9	NUM
cana-1036	128	859	)	)	PUNCT
cana-1036	128	860	(	(	PUNCT
cana-1036	128	861	0.1,0.3	0.1,0.3	PROPN
cana-1036	128	862	,	,	PUNCT
cana-1036	128	863	0.5	0.5	NUM
cana-1036	128	864	)	)	PUNCT
cana-1036	128	865	(	(	PUNCT
cana-1036	128	866	0.3,0.5	0.3,0.5	PROPN
cana-1036	128	867	,	,	PUNCT
cana-1036	128	868	0.7	0.7	NUM
cana-1036	128	869	)	)	PUNCT
cana-1036	128	870	(	(	PUNCT
cana-1036	128	871	0,0.1,0	0,0.1,0	X
cana-1036	128	872	.	.	PROPN
cana-1036	128	873	3	3	NUM
cana-1036	128	874	)	)	PUNCT
cana-1036	128	875	(	(	PUNCT
cana-1036	128	876	0,0,0.1	0,0,0.1	PROPN
cana-1036	128	877	)	)	PUNCT
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cana-1036	128	879	0.1,0.3	0.1,0.3	PROPN
cana-1036	128	880	,	,	PUNCT
cana-1036	128	881	0.2	0.2	NUM
cana-1036	128	882	)	)	PUNCT
cana-1036	128	883	(	(	PUNCT
cana-1036	128	884	0.3,0.5	0.3,0.5	PROPN
cana-1036	128	885	,	,	PUNCT
cana-1036	128	886	0.7	0.7	NUM
cana-1036	128	887	)	)	PUNCT
cana-1036	128	888	(	(	PUNCT
cana-1036	128	889	0,0,0.1	0,0,0.1	PROPN
cana-1036	128	890	)	)	PUNCT
cana-1036	128	891	(	(	PUNCT
cana-1036	128	892	0.1,0.3	0.1,0.3	PROPN
cana-1036	128	893	,	,	PUNCT
cana-1036	128	894	0.5	0.5	NUM
cana-1036	128	895	)	)	PUNCT
cana-1036	128	896	(	(	PUNCT
cana-1036	128	897	0.3,0.5	0.3,0.5	PROPN
cana-1036	128	898	,	,	PUNCT
cana-1036	128	899	0.7	0.7	NUM
cana-1036	128	900	)	)	PUNCT
cana-1036	128	901	(	(	PUNCT
cana-1036	128	902	0,0.1,0	0,0.1,0	X
cana-1036	128	903	.	.	PROPN
cana-1036	128	904	3	3	NUM
cana-1036	128	905	)	)	PUNCT
cana-1036	128	906	(	(	PUNCT
cana-1036	128	907	0,0.1,0	0,0.1,0	X
cana-1036	128	908	.	.	PROPN
cana-1036	128	909	3	3	NUM
cana-1036	128	910	)	)	PUNCT
cana-1036	128	911	(	(	PUNCT
cana-1036	128	912	0,0,0.1	0,0,0.1	PROPN
cana-1036	128	913	)	)	PUNCT
cana-1036	128	914	(	(	PUNCT
cana-1036	128	915	0.3,0.5	0.3,0.5	PROPN
cana-1036	128	916	,	,	PUNCT
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cana-1036	128	918	)	)	PUNCT
cana-1036	128	919	(	(	PUNCT
cana-1036	128	920	0.1,0.3	0.1,0.3	PROPN
cana-1036	128	921	,	,	PUNCT
cana-1036	128	922	0.5	0.5	NUM
cana-1036	128	923	)	)	PUNCT
cana-1036	128	924	(	(	PUNCT
cana-1036	128	925	0,0.1,0	0,0.1,0	X
cana-1036	128	926	.	.	PROPN
cana-1036	128	927	3	3	NUM
cana-1036	128	928	)	)	PUNCT
cana-1036	128	929	(	(	PUNCT
cana-1036	128	930	0,0,0.1	0,0,0.1	PROPN
cana-1036	128	931	)	)	PUNCT
cana-1036	128	932	(	(	PUNCT
cana-1036	128	933	0,0.1,0	0,0.1,0	X
cana-1036	128	934	.	.	PROPN
cana-1036	128	935	3	3	NUM
cana-1036	128	936	)	)	PUNCT
cana-1036	128	937	(	(	PUNCT
cana-1036	128	938	0,0.1,0	0,0.1,0	X
cana-1036	128	939	.	.	PROPN
cana-1036	128	940	3	3	NUM
cana-1036	128	941	)	)	PUNCT
cana-1036	128	942	(	(	PUNCT
cana-1036	128	943	0.3,0.5	0.3,0.5	PROPN
cana-1036	128	944	,	,	PUNCT
cana-1036	128	945	0.7	0.7	NUM
cana-1036	128	946	)	)	PUNCT
cana-1036	128	947	(	(	PUNCT
cana-1036	128	948	0.1,0.3	0.1,0.3	PROPN
cana-1036	128	949	,	,	PUNCT
cana-1036	128	950	0.5	0.5	NUM
cana-1036	128	951	)	)	PUNCT
cana-1036	128	952	(	(	PUNCT
cana-1036	128	953	0.3,0.5	0.3,0.5	PROPN
cana-1036	128	954	,	,	PUNCT
cana-1036	128	955	0.7	0.7	NUM
cana-1036	128	956	)	)	PUNCT
cana-1036	128	957	(	(	PUNCT
cana-1036	128	958	0.5,0.7	0.5,0.7	PROPN
cana-1036	128	959	,	,	PUNCT
cana-1036	128	960	0.9	0.9	NUM
cana-1036	128	961	)	)	PUNCT
cana-1036	128	962	triangular	triangular	NOUN
cana-1036	128	963	hesitant	hesitant	ADJ
cana-1036	128	964	fuzzy	fuzzy	ADJ
cana-1036	128	965	decision	decision	NOUN
cana-1036	128	966	matrix	matrix	NOUN
cana-1036	128	967	communications	communication	NOUN
cana-1036	128	968	on	on	ADP
cana-1036	128	969	applied	apply	VERB
cana-1036	128	970	nonlinear	nonlinear	ADJ
cana-1036	128	971	analysis	analysis	NOUN
cana-1036	128	972	issn	issn	NOUN
cana-1036	128	973	:	:	PUNCT
cana-1036	128	974	1074	1074	NUM
cana-1036	128	975	-	-	PUNCT
cana-1036	128	976	133x	133x	NUM
cana-1036	128	977	vol	vol	NOUN
cana-1036	128	978	31	31	NUM
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cana-1036	128	980	.	.	PUNCT
cana-1036	129	1	5s	5s	NUM
cana-1036	129	2	(	(	PUNCT
cana-1036	129	3	2024	2024	NUM
cana-1036	129	4	)	)	PUNCT
cana-1036	129	5	286	286	NUM
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cana-1036	129	8	the	the	DET
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cana-1036	129	12	every	every	DET
cana-1036	129	13	t.h.f.e	t.h.f.e	PROPN
cana-1036	129	14	in	in	ADP
cana-1036	129	15	the	the	DET
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cana-1036	129	17	matrix	matrix	NOUN
cana-1036	129	18	�	�	PROPN
cana-1036	129	19	̃	̃	NOUN
cana-1036	129	20	�	�	PROPN
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cana-1036	129	22	the	the	DET
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cana-1036	129	26	:	:	PUNCT
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cana-1036	129	28	:	:	PUNCT
cana-1036	129	29	4.1	4.1	NUM
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cana-1036	129	32	method	method	NOUN
cana-1036	129	33	)	)	PUNCT
cana-1036	129	34	by	by	ADP
cana-1036	129	35	using	use	VERB
cana-1036	129	36	all	all	DET
cana-1036	129	37	the	the	DET
cana-1036	129	38	steps	step	NOUN
cana-1036	129	39	in	in	ADP
cana-1036	129	40	the	the	DET
cana-1036	129	41	existing	exist	VERB
cana-1036	129	42	method	method	NOUN
cana-1036	129	43	algorithm	algorithm	NOUN
cana-1036	129	44	,	,	PUNCT
cana-1036	129	45	we	we	PRON
cana-1036	129	46	get	get	VERB
cana-1036	129	47	the	the	DET
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cana-1036	129	50	�	�	PROPN
cana-1036	129	51	̃	̃	PROPN
cana-1036	129	52	�	�	NOUN
cana-1036	129	53	3	3	NUM
cana-1036	129	54	>	>	X
cana-1036	129	55	�	�	PROPN
cana-1036	129	56	̃	̃	PROPN
cana-1036	129	57	�	�	PROPN
cana-1036	129	58	1	1	NUM
cana-1036	129	59	>	>	SYM
cana-1036	129	60	�	�	PROPN
cana-1036	129	61	̃	̃	PROPN
cana-1036	129	62	�	�	NOUN
cana-1036	129	63	2	2	NUM
cana-1036	129	64	>	>	X
cana-1036	129	65	�	�	PROPN
cana-1036	129	66	̃	̃	PROPN
cana-1036	129	67	�	�	NOUN
cana-1036	129	68	4	4	NUM
cana-1036	129	69	>	>	X
cana-1036	129	70	�	�	PROPN
cana-1036	129	71	̃	̃	PROPN
cana-1036	129	72	�	�	PROPN
cana-1036	129	73	5	5	NUM
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cana-1036	129	75	leads	lead	VERB
cana-1036	129	76	us	we	PRON
cana-1036	129	77	to	to	ADP
cana-1036	129	78	the	the	DET
cana-1036	129	79	conclusion	conclusion	NOUN
cana-1036	129	80	that	that	SCONJ
cana-1036	129	81	worry	worry	NOUN
cana-1036	129	82	is	be	AUX
cana-1036	129	83	the	the	DET
cana-1036	129	84	primary	primary	ADJ
cana-1036	129	85	cause	cause	NOUN
cana-1036	129	86	of	of	ADP
cana-1036	129	87	illness	illness	NOUN
cana-1036	129	88	.	.	PUNCT
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cana-1036	130	2	:	:	PUNCT
cana-1036	130	3	4.2	4.2	NUM
cana-1036	130	4	(	(	PUNCT
cana-1036	130	5	new	new	ADJ
cana-1036	130	6	method	method	NOUN
cana-1036	130	7	using	use	VERB
cana-1036	130	8	mid	mid	ADJ
cana-1036	130	9	value	value	NOUN
cana-1036	130	10	ranking	ranking	NOUN
cana-1036	130	11	and	and	CCONJ
cana-1036	130	12	variance	variance	NOUN
cana-1036	130	13	)	)	PUNCT
cana-1036	131	1	the	the	DET
cana-1036	131	2	expected	expect	VERB
cana-1036	131	3	value	value	NOUN
cana-1036	131	4	is	be	AUX
cana-1036	131	5	calculated	calculate	VERB
cana-1036	131	6	by	by	ADP
cana-1036	131	7	using	use	VERB
cana-1036	131	8	step	step	NOUN
cana-1036	131	9	2	2	NUM
cana-1036	131	10	in	in	ADP
cana-1036	131	11	the	the	DET
cana-1036	131	12	algorithm	algorithm	NOUN
cana-1036	131	13	(	(	PUNCT
cana-1036	131	14	2	2	X
cana-1036	131	15	)	)	PUNCT
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cana-1036	131	18	next	next	ADV
cana-1036	131	19	,	,	PUNCT
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cana-1036	131	21	weight	weight	NOUN
cana-1036	131	22	of	of	ADP
cana-1036	131	23	each	each	DET
cana-1036	131	24	criterion	criterion	NOUN
cana-1036	131	25	is	be	AUX
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cana-1036	131	27	from	from	ADP
cana-1036	131	28	�	�	PROPN
cana-1036	131	29	̃	̃	PROPN
cana-1036	131	30	�	�	PROPN
cana-1036	131	31	by	by	ADP
cana-1036	131	32	using	use	VERB
cana-1036	131	33	step	step	NOUN
cana-1036	131	34	3	3	NUM
cana-1036	131	35	in	in	ADP
cana-1036	131	36	an	an	DET
cana-1036	131	37	algorithm	algorithm	NOUN
cana-1036	131	38	(	(	PUNCT
cana-1036	131	39	2	2	NUM
cana-1036	131	40	)	)	PUNCT
cana-1036	131	41	,	,	PUNCT
cana-1036	131	42	we	we	PRON
cana-1036	131	43	have	have	VERB
cana-1036	131	44	�	�	PROPN
cana-1036	131	45	̃	̃	NOUN
cana-1036	131	46	�	�	NOUN
cana-1036	131	47	1	1	NUM
cana-1036	131	48	=	=	SYM
cana-1036	131	49	0.2602	0.2602	NUM
cana-1036	131	50	;	;	PUNCT
cana-1036	131	51	�	�	PROPN
cana-1036	131	52	̃	̃	PROPN
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cana-1036	131	54	2	2	NUM
cana-1036	131	55	=	=	SYM
cana-1036	131	56	0.08943	0.08943	NUM
cana-1036	131	57	;	;	PUNCT
cana-1036	131	58	�	�	PROPN
cana-1036	131	59	̃	̃	PROPN
cana-1036	131	60	�	�	NOUN
cana-1036	131	61	3	3	NUM
cana-1036	131	62	=	=	SYM
cana-1036	131	63	0.0163	0.0163	NUM
cana-1036	131	64	;	;	PUNCT
cana-1036	131	65	�	�	PROPN
cana-1036	131	66	̃	̃	PROPN
cana-1036	131	67	�	�	NOUN
cana-1036	131	68	4	4	NUM
cana-1036	131	69	=	=	SYM
cana-1036	131	70	0.0569	0.0569	NUM
cana-1036	131	71	;	;	PUNCT
cana-1036	131	72	�	�	PROPN
cana-1036	131	73	̃	̃	PROPN
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cana-1036	131	75	5	5	NUM
cana-1036	131	76	=	=	SYM
cana-1036	131	77	0.0732	0.0732	NUM
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cana-1036	131	79	̃	̃	PROPN
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cana-1036	131	81	6	6	NUM
cana-1036	131	82	=	=	SYM
cana-1036	131	83	0.0894	0.0894	NUM
cana-1036	131	84	;	;	PUNCT
cana-1036	131	85	�	�	PROPN
cana-1036	131	86	̃	̃	PROPN
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cana-1036	131	88	7	7	NUM
cana-1036	131	89	=	=	SYM
cana-1036	131	90	0.0407	0.0407	NUM
cana-1036	131	91	;	;	PUNCT
cana-1036	131	92	�	�	PROPN
cana-1036	131	93	̃	̃	PROPN
cana-1036	131	94	�	�	NOUN
cana-1036	131	95	8	8	NUM
cana-1036	131	96	=	=	SYM
cana-1036	131	97	0.3415	0.3415	NUM
cana-1036	131	98	;	;	PUNCT
cana-1036	131	99	�	�	PROPN
cana-1036	131	100	̃	̃	PROPN
cana-1036	131	101	�	�	NOUN
cana-1036	131	102	9	9	NUM
cana-1036	131	103	=	=	SYM
cana-1036	131	104	0.0081;	0.0081;	PROPN
cana-1036	131	105	�	�	PROPN
cana-1036	131	106	̃	̃	NOUN
cana-1036	131	107	�	�	NOUN
cana-1036	131	108	10	10	NUM
cana-1036	131	109	=	=	NUM
cana-1036	131	110	0.0244	0.0244	NUM
cana-1036	131	111	also	also	ADV
cana-1036	131	112	,	,	PUNCT
cana-1036	131	113	the	the	DET
cana-1036	131	114	weighted	weight	VERB
cana-1036	131	115	expected	expect	VERB
cana-1036	131	116	value	value	NOUN
cana-1036	131	117	for	for	ADP
cana-1036	131	118	each	each	DET
cana-1036	131	119	alternative	alternative	ADJ
cana-1036	131	120	�	�	PROPN
cana-1036	131	121	̃	̃	PROPN
cana-1036	131	122	�	�	PROPN
cana-1036	131	123	𝑖	𝑖	SYM
cana-1036	131	124	�	�	PROPN
cana-1036	131	125	̃	̃	PROPN
cana-1036	131	126	�	�	PROPN
cana-1036	131	127	𝑊(	𝑊(	NOUN
cana-1036	131	128	�	�	PROPN
cana-1036	131	129	̃	̃	PROPN
cana-1036	131	130	�	�	NOUN
cana-1036	131	131	1	1	NUM
cana-1036	131	132	)	)	PUNCT
cana-1036	131	133	=	=	SYM
cana-1036	131	134	0.0734	0.0734	NUM
cana-1036	131	135	�	�	PROPN
cana-1036	131	136	̃	̃	PROPN
cana-1036	131	137	�	�	PROPN
cana-1036	131	138	𝑊(	𝑊(	NOUN
cana-1036	131	139	�	�	PROPN
cana-1036	131	140	̃	̃	PROPN
cana-1036	131	141	�	�	NOUN
cana-1036	131	142	2	2	NUM
cana-1036	131	143	)	)	PUNCT
cana-1036	131	144	=	=	SYM
cana-1036	131	145	0.0510	0.0510	NUM
cana-1036	131	146	�	�	PROPN
cana-1036	131	147	̃	̃	PROPN
cana-1036	131	148	�	�	PROPN
cana-1036	131	149	𝑊(	𝑊(	NOUN
cana-1036	131	150	�	�	PROPN
cana-1036	131	151	̃	̃	PROPN
cana-1036	131	152	�	�	NOUN
cana-1036	131	153	3	3	NUM
cana-1036	131	154	)	)	PUNCT
cana-1036	131	155	=	=	NOUN
cana-1036	131	156	0.0792	0.0792	NUM
cana-1036	131	157	�	�	SYM
cana-1036	131	158	̃	̃	PROPN
cana-1036	131	159	�	�	PROPN
cana-1036	131	160	𝑊(	𝑊(	NOUN
cana-1036	131	161	�	�	PROPN
cana-1036	131	162	̃	̃	PROPN
cana-1036	131	163	�	�	NOUN
cana-1036	131	164	4	4	NUM
cana-1036	131	165	)	)	PUNCT
cana-1036	131	166	=	=	NOUN
cana-1036	131	167	0.0392	0.0392	NUM
cana-1036	131	168	�	�	PROPN
cana-1036	131	169	̃	̃	PROPN
cana-1036	131	170	�	�	PROPN
cana-1036	131	171	𝑊(	𝑊(	NOUN
cana-1036	131	172	�	�	PROPN
cana-1036	131	173	̃	̃	PROPN
cana-1036	131	174	�	�	NOUN
cana-1036	131	175	5	5	NUM
cana-1036	131	176	)	)	PUNCT
cana-1036	131	177	=	=	PUNCT
cana-1036	132	1	0.0380	0.0380	PRON
cana-1036	132	2	now	now	ADV
cana-1036	132	3	rank	rank	VERB
cana-1036	132	4	the	the	DET
cana-1036	132	5	alternatives	alternative	NOUN
cana-1036	132	6	as	as	ADP
cana-1036	132	7	per	per	ADP
cana-1036	132	8	the	the	DET
cana-1036	132	9	expected	expect	VERB
cana-1036	132	10	value	value	NOUN
cana-1036	132	11	�	�	PROPN
cana-1036	132	12	̃	̃	PROPN
cana-1036	132	13	�	�	NOUN
cana-1036	132	14	3	3	NUM
cana-1036	132	15	>	>	X
cana-1036	132	16	�	�	PROPN
cana-1036	132	17	̃	̃	PROPN
cana-1036	132	18	�	�	PROPN
cana-1036	132	19	1	1	NUM
cana-1036	132	20	>	>	SYM
cana-1036	132	21	�	�	PROPN
cana-1036	132	22	̃	̃	PROPN
cana-1036	132	23	�	�	NOUN
cana-1036	132	24	2	2	NUM
cana-1036	132	25	>	>	X
cana-1036	132	26	�	�	PROPN
cana-1036	132	27	̃	̃	PROPN
cana-1036	132	28	�	�	NOUN
cana-1036	132	29	4	4	NUM
cana-1036	132	30	>	>	X
cana-1036	132	31	�	�	PROPN
cana-1036	132	32	̃	̃	PROPN
cana-1036	132	33	�	�	PROPN
cana-1036	132	34	5	5	NUM
cana-1036	132	35	this	this	PRON
cana-1036	132	36	leads	lead	VERB
cana-1036	132	37	us	we	PRON
cana-1036	132	38	to	to	ADP
cana-1036	132	39	the	the	DET
cana-1036	132	40	conclusion	conclusion	NOUN
cana-1036	132	41	that	that	SCONJ
cana-1036	132	42	worry	worry	NOUN
cana-1036	132	43	is	be	AUX
cana-1036	132	44	the	the	DET
cana-1036	132	45	primary	primary	ADJ
cana-1036	132	46	cause	cause	NOUN
cana-1036	132	47	of	of	ADP
cana-1036	132	48	the	the	DET
cana-1036	132	49	group	group	NOUN
cana-1036	132	50	of	of	ADP
cana-1036	132	51	illnesses	illness	NOUN
cana-1036	132	52	.	.	PUNCT
cana-1036	133	1	algorithm:4	algorithm:4	ADP
cana-1036	133	2	.	.	PROPN
cana-1036	133	3	3	3	NUM
cana-1036	133	4	(	(	PUNCT
cana-1036	133	5	new	new	ADJ
cana-1036	133	6	method	method	NOUN
cana-1036	133	7	using	use	VERB
cana-1036	133	8	ambiguity	ambiguity	NOUN
cana-1036	133	9	ranking	rank	VERB
cana-1036	133	10	and	and	CCONJ
cana-1036	133	11	mean	mean	VERB
cana-1036	133	12	)	)	PUNCT
cana-1036	133	13	the	the	DET
cana-1036	133	14	expected	expect	VERB
cana-1036	133	15	value	value	NOUN
cana-1036	133	16	is	be	AUX
cana-1036	133	17	calculated	calculate	VERB
cana-1036	133	18	by	by	ADP
cana-1036	133	19	using	use	VERB
cana-1036	133	20	step	step	NOUN
cana-1036	133	21	2	2	NUM
cana-1036	133	22	in	in	ADP
cana-1036	133	23	an	an	DET
cana-1036	133	24	algorithm	algorithm	NOUN
cana-1036	133	25	(	(	PUNCT
cana-1036	133	26	3	3	X
cana-1036	133	27	)	)	PUNCT
cana-1036	133	28	communications	communication	NOUN
cana-1036	133	29	on	on	ADP
cana-1036	133	30	applied	apply	VERB
cana-1036	133	31	nonlinear	nonlinear	ADJ
cana-1036	133	32	analysis	analysis	NOUN
cana-1036	133	33	issn	issn	NOUN
cana-1036	133	34	:	:	PUNCT
cana-1036	133	35	1074	1074	NUM
cana-1036	133	36	-	-	PUNCT
cana-1036	133	37	133x	133x	NUM
cana-1036	133	38	vol	vol	NOUN
cana-1036	133	39	31	31	NUM
cana-1036	133	40	no	no	NOUN
cana-1036	133	41	.	.	PUNCT
cana-1036	134	1	5s	5s	NUM
cana-1036	134	2	(	(	PUNCT
cana-1036	134	3	2024	2024	NUM
cana-1036	134	4	)	)	PUNCT
cana-1036	134	5	287	287	NUM
cana-1036	134	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1036	134	7	we	we	PRON
cana-1036	134	8	get	get	VERB
cana-1036	134	9	next	next	ADV
cana-1036	134	10	,	,	PUNCT
cana-1036	134	11	the	the	DET
cana-1036	134	12	weight	weight	NOUN
cana-1036	134	13	of	of	ADP
cana-1036	134	14	each	each	DET
cana-1036	134	15	criterion	criterion	NOUN
cana-1036	134	16	is	be	AUX
cana-1036	134	17	obtained	obtain	VERB
cana-1036	134	18	from	from	ADP
cana-1036	134	19	�	�	PROPN
cana-1036	134	20	̃	̃	NOUN
cana-1036	134	21	�	�	NOUN
cana-1036	134	22	′	′	NUM
cana-1036	134	23	by	by	ADP
cana-1036	134	24	using	use	VERB
cana-1036	134	25	step	step	NOUN
cana-1036	134	26	3	3	NUM
cana-1036	134	27	in	in	ADP
cana-1036	134	28	an	an	DET
cana-1036	134	29	algorithm	algorithm	NOUN
cana-1036	134	30	(	(	PUNCT
cana-1036	134	31	3	3	NUM
cana-1036	134	32	)	)	PUNCT
cana-1036	134	33	,	,	PUNCT
cana-1036	134	34	we	we	PRON
cana-1036	134	35	have	have	VERB
cana-1036	134	36	�	�	PROPN
cana-1036	134	37	̃	̃	NOUN
cana-1036	134	38	�	�	NOUN
cana-1036	134	39	1	1	NUM
cana-1036	134	40	=	=	SYM
cana-1036	134	41	0.0746	0.0746	NUM
cana-1036	134	42	;	;	PUNCT
cana-1036	134	43	�	�	PROPN
cana-1036	134	44	̃	̃	NOUN
cana-1036	134	45	�	�	NOUN
cana-1036	134	46	2	2	NUM
cana-1036	134	47	=	=	SYM
cana-1036	134	48	0.1729	0.1729	NUM
cana-1036	134	49	;	;	PUNCT
cana-1036	134	50	�	�	PROPN
cana-1036	134	51	̃	̃	PROPN
cana-1036	134	52	�	�	NOUN
cana-1036	134	53	3	3	NUM
cana-1036	134	54	=	=	SYM
cana-1036	134	55	0.0648	0.0648	NUM
cana-1036	134	56	;	;	PUNCT
cana-1036	134	57	�	�	PROPN
cana-1036	134	58	̃	̃	PROPN
cana-1036	134	59	�	�	NOUN
cana-1036	134	60	4	4	NUM
cana-1036	134	61	=	=	SYM
cana-1036	134	62	0.1172⁡	0.1172⁡	X
cana-1036	134	63	;	;	PUNCT
cana-1036	134	64	�	�	PROPN
cana-1036	134	65	̃	̃	PROPN
cana-1036	134	66	�	�	NOUN
cana-1036	134	67	5	5	NUM
cana-1036	134	68	=	=	SYM
cana-1036	134	69	0.1316	0.1316	NUM
cana-1036	134	70	�	�	PROPN
cana-1036	134	71	̃	̃	PROPN
cana-1036	134	72	�	�	PROPN
cana-1036	134	73	6	6	NUM
cana-1036	134	74	=	=	SYM
cana-1036	134	75	0.1790	0.1790	NUM
cana-1036	134	76	;	;	PUNCT
cana-1036	134	77	�	�	PROPN
cana-1036	134	78	̃	̃	PROPN
cana-1036	134	79	�	�	PROPN
cana-1036	134	80	7	7	NUM
cana-1036	134	81	=	=	SYM
cana-1036	134	82	0.1201	0.1201	NUM
cana-1036	134	83	;	;	PUNCT
cana-1036	134	84	�	�	PROPN
cana-1036	134	85	̃	̃	PROPN
cana-1036	134	86	�	�	NOUN
cana-1036	134	87	8	8	NUM
cana-1036	134	88	=	=	SYM
cana-1036	134	89	0.0909	0.0909	NUM
cana-1036	134	90	;	;	PUNCT
cana-1036	134	91	�	�	PROPN
cana-1036	134	92	̃	̃	PROPN
cana-1036	134	93	�	�	NOUN
cana-1036	134	94	9	9	NUM
cana-1036	134	95	=	=	SYM
cana-1036	134	96	0.0483	0.0483	NUM
cana-1036	134	97	;	;	PUNCT
cana-1036	134	98	�	�	PROPN
cana-1036	134	99	̃	̃	PROPN
cana-1036	134	100	�	�	PROPN
cana-1036	134	101	10	10	NUM
cana-1036	134	102	=	=	SYM
cana-1036	134	103	0.0006	0.0006	NUM
cana-1036	134	104	also	also	ADV
cana-1036	134	105	,	,	PUNCT
cana-1036	134	106	the	the	DET
cana-1036	134	107	weighted	weight	VERB
cana-1036	134	108	expected	expect	VERB
cana-1036	134	109	value	value	NOUN
cana-1036	134	110	for	for	ADP
cana-1036	134	111	each	each	DET
cana-1036	134	112	alternative	alternative	ADJ
cana-1036	134	113	�	�	PROPN
cana-1036	134	114	̃	̃	PROPN
cana-1036	134	115	�	�	PROPN
cana-1036	134	116	𝑖	𝑖	SYM
cana-1036	134	117	�	�	PROPN
cana-1036	134	118	̃	̃	PROPN
cana-1036	134	119	�	�	PROPN
cana-1036	134	120	′	′	PROPN
cana-1036	134	121	𝑊(	𝑊(	PROPN
cana-1036	134	122	�	�	PROPN
cana-1036	134	123	̃	̃	PROPN
cana-1036	134	124	�	�	NOUN
cana-1036	134	125	1	1	NUM
cana-1036	134	126	)	)	PUNCT
cana-1036	134	127	=	=	SYM
cana-1036	134	128	0.2289	0.2289	NUM
cana-1036	134	129	�	�	SYM
cana-1036	134	130	̃	̃	PROPN
cana-1036	134	131	�	�	PROPN
cana-1036	134	132	′	′	PROPN
cana-1036	134	133	𝑊(	𝑊(	PROPN
cana-1036	134	134	�	�	PROPN
cana-1036	134	135	̃	̃	PROPN
cana-1036	134	136	�	�	NOUN
cana-1036	134	137	2	2	NUM
cana-1036	134	138	)	)	PUNCT
cana-1036	134	139	=	=	SYM
cana-1036	134	140	0.1370	0.1370	NUM
cana-1036	134	141	�	�	PROPN
cana-1036	134	142	̃	̃	PROPN
cana-1036	134	143	�	�	PROPN
cana-1036	134	144	′	′	PROPN
cana-1036	134	145	𝑊(	𝑊(	PROPN
cana-1036	134	146	�	�	PROPN
cana-1036	134	147	̃	̃	PROPN
cana-1036	134	148	�	�	NOUN
cana-1036	134	149	3	3	NUM
cana-1036	134	150	)	)	PUNCT
cana-1036	134	151	=	=	NOUN
cana-1036	134	152	0.2601	0.2601	NUM
cana-1036	134	153	�	�	SYM
cana-1036	134	154	̃	̃	PROPN
cana-1036	134	155	�	�	PROPN
cana-1036	134	156	′	′	PROPN
cana-1036	134	157	𝑊(	𝑊(	PROPN
cana-1036	134	158	�	�	PROPN
cana-1036	134	159	̃	̃	PROPN
cana-1036	134	160	�	�	NOUN
cana-1036	134	161	4	4	NUM
cana-1036	134	162	)	)	PUNCT
cana-1036	134	163	=	=	SYM
cana-1036	134	164	0.1311	0.1311	NUM
cana-1036	134	165	�	�	SYM
cana-1036	134	166	̃	̃	PROPN
cana-1036	134	167	�	�	PROPN
cana-1036	134	168	′	′	PROPN
cana-1036	134	169	𝑊(	𝑊(	PROPN
cana-1036	134	170	�	�	PROPN
cana-1036	134	171	̃	̃	PROPN
cana-1036	134	172	�	�	NOUN
cana-1036	134	173	5	5	NUM
cana-1036	134	174	)	)	PUNCT
cana-1036	134	175	=	=	SYM
cana-1036	134	176	0.1246	0.1246	NUM
cana-1036	134	177	now	now	ADV
cana-1036	134	178	rank	rank	VERB
cana-1036	134	179	the	the	DET
cana-1036	134	180	alternatives	alternative	NOUN
cana-1036	134	181	according	accord	VERB
cana-1036	134	182	to	to	ADP
cana-1036	134	183	the	the	DET
cana-1036	134	184	expected	expect	VERB
cana-1036	134	185	value	value	NOUN
cana-1036	134	186	�	�	PROPN
cana-1036	134	187	̃	̃	PROPN
cana-1036	134	188	�	�	NOUN
cana-1036	134	189	3	3	NUM
cana-1036	134	190	>	>	X
cana-1036	134	191	�	�	PROPN
cana-1036	134	192	̃	̃	PROPN
cana-1036	134	193	�	�	PROPN
cana-1036	134	194	1	1	NUM
cana-1036	134	195	>	>	SYM
cana-1036	134	196	�	�	PROPN
cana-1036	134	197	̃	̃	PROPN
cana-1036	134	198	�	�	NOUN
cana-1036	134	199	2	2	NUM
cana-1036	134	200	>	>	X
cana-1036	134	201	�	�	PROPN
cana-1036	134	202	̃	̃	PROPN
cana-1036	134	203	�	�	NOUN
cana-1036	134	204	4	4	NUM
cana-1036	134	205	>	>	X
cana-1036	134	206	�	�	PROPN
cana-1036	134	207	̃	̃	PROPN
cana-1036	134	208	�	�	PROPN
cana-1036	134	209	5	5	NUM
cana-1036	134	210	this	this	PRON
cana-1036	134	211	leads	lead	VERB
cana-1036	134	212	us	we	PRON
cana-1036	134	213	to	to	ADP
cana-1036	134	214	the	the	DET
cana-1036	134	215	conclusion	conclusion	NOUN
cana-1036	134	216	that	that	SCONJ
cana-1036	134	217	worry	worry	NOUN
cana-1036	134	218	is	be	AUX
cana-1036	134	219	the	the	DET
cana-1036	134	220	primary	primary	ADJ
cana-1036	134	221	cause	cause	NOUN
cana-1036	134	222	of	of	ADP
cana-1036	134	223	illness	illness	NOUN
cana-1036	134	224	.	.	PUNCT
cana-1036	135	1	5	5	X
cana-1036	135	2	.	.	X
cana-1036	135	3	discussion	discussion	NOUN
cana-1036	135	4	and	and	CCONJ
cana-1036	135	5	conclusion	conclusion	VERB
cana-1036	135	6	comparison	comparison	NOUN
cana-1036	135	7	table	table	NOUN
cana-1036	135	8	of	of	ADP
cana-1036	135	9	the	the	DET
cana-1036	135	10	existing	exist	VERB
cana-1036	135	11	and	and	CCONJ
cana-1036	135	12	proposed	propose	VERB
cana-1036	135	13	methods	method	NOUN
cana-1036	135	14	table:4	table:4	VERB
cana-1036	135	15	existing	exist	VERB
cana-1036	135	16	method	method	NOUN
cana-1036	135	17	proposed	propose	VERB
cana-1036	135	18	method	method	NOUN
cana-1036	135	19	–	–	PUNCT
cana-1036	135	20	1	1	NUM
cana-1036	135	21	mid	mid	ADJ
cana-1036	135	22	value	value	NOUN
cana-1036	135	23	ranking	ranking	NOUN
cana-1036	135	24	and	and	CCONJ
cana-1036	135	25	variance	variance	NOUN
cana-1036	135	26	proposed	propose	VERB
cana-1036	135	27	method	method	NOUN
cana-1036	135	28	–	–	PUNCT
cana-1036	135	29	ii	ii	NOUN
cana-1036	135	30	ambiguity	ambiguity	NOUN
cana-1036	135	31	ranking	rank	VERB
cana-1036	135	32	and	and	CCONJ
cana-1036	135	33	mean	mean	VERB
cana-1036	135	34	the	the	DET
cana-1036	135	35	rank	rank	NOUN
cana-1036	135	36	according	accord	VERB
cana-1036	135	37	to	to	ADP
cana-1036	135	38	the	the	DET
cana-1036	135	39	expected	expect	VERB
cana-1036	135	40	value	value	NOUN
cana-1036	135	41	is	be	AUX
cana-1036	135	42	�	�	PROPN
cana-1036	135	43	̃	̃	NOUN
cana-1036	135	44	�	�	NOUN
cana-1036	135	45	3	3	NUM
cana-1036	135	46	>	>	X
cana-1036	135	47	�	�	PROPN
cana-1036	135	48	̃	̃	PROPN
cana-1036	135	49	�	�	PROPN
cana-1036	135	50	1	1	NUM
cana-1036	135	51	>	>	SYM
cana-1036	135	52	�	�	PROPN
cana-1036	135	53	̃	̃	PROPN
cana-1036	135	54	�	�	NOUN
cana-1036	135	55	2	2	NUM
cana-1036	135	56	>	>	X
cana-1036	135	57	�	�	PROPN
cana-1036	135	58	̃	̃	PROPN
cana-1036	135	59	�	�	NOUN
cana-1036	135	60	4	4	NUM
cana-1036	135	61	>	>	X
cana-1036	135	62	�	�	PROPN
cana-1036	135	63	̃	̃	PROPN
cana-1036	135	64	�	�	PROPN
cana-1036	135	65	5	5	NUM
cana-1036	135	66	the	the	DET
cana-1036	135	67	rank	rank	NOUN
cana-1036	135	68	according	accord	VERB
cana-1036	135	69	to	to	ADP
cana-1036	135	70	the	the	DET
cana-1036	135	71	expected	expect	VERB
cana-1036	135	72	value	value	NOUN
cana-1036	135	73	is	be	AUX
cana-1036	135	74	�	�	PROPN
cana-1036	135	75	̃	̃	NOUN
cana-1036	135	76	�	�	NOUN
cana-1036	135	77	3	3	NUM
cana-1036	135	78	>	>	X
cana-1036	135	79	�	�	PROPN
cana-1036	135	80	̃	̃	PROPN
cana-1036	135	81	�	�	PROPN
cana-1036	135	82	1	1	NUM
cana-1036	135	83	>	>	SYM
cana-1036	135	84	�	�	PROPN
cana-1036	135	85	̃	̃	PROPN
cana-1036	135	86	�	�	NOUN
cana-1036	135	87	2	2	NUM
cana-1036	135	88	>	>	X
cana-1036	135	89	�	�	PROPN
cana-1036	135	90	̃	̃	PROPN
cana-1036	135	91	�	�	NOUN
cana-1036	135	92	4	4	NUM
cana-1036	135	93	>	>	X
cana-1036	135	94	�	�	PROPN
cana-1036	135	95	̃	̃	PROPN
cana-1036	135	96	�	�	PROPN
cana-1036	135	97	5	5	NUM
cana-1036	135	98	the	the	DET
cana-1036	135	99	rank	rank	NOUN
cana-1036	135	100	according	accord	VERB
cana-1036	135	101	to	to	ADP
cana-1036	135	102	the	the	DET
cana-1036	135	103	expected	expect	VERB
cana-1036	135	104	value	value	NOUN
cana-1036	135	105	is	be	AUX
cana-1036	135	106	�	�	PROPN
cana-1036	135	107	̃	̃	NOUN
cana-1036	135	108	�	�	NOUN
cana-1036	135	109	3	3	NUM
cana-1036	135	110	>	>	X
cana-1036	135	111	�	�	PROPN
cana-1036	135	112	̃	̃	PROPN
cana-1036	135	113	�	�	PROPN
cana-1036	135	114	1	1	NUM
cana-1036	135	115	>	>	SYM
cana-1036	135	116	�	�	PROPN
cana-1036	135	117	̃	̃	PROPN
cana-1036	135	118	�	�	NOUN
cana-1036	135	119	2	2	NUM
cana-1036	135	120	>	>	X
cana-1036	135	121	�	�	PROPN
cana-1036	135	122	̃	̃	PROPN
cana-1036	135	123	�	�	NOUN
cana-1036	135	124	4	4	NUM
cana-1036	135	125	>	>	X
cana-1036	135	126	�	�	PROPN
cana-1036	135	127	̃	̃	PROPN
cana-1036	135	128	�	�	NOUN
cana-1036	135	129	5	5	NUM
cana-1036	135	130	in	in	ADP
cana-1036	135	131	this	this	DET
cana-1036	135	132	article	article	NOUN
cana-1036	135	133	,	,	PUNCT
cana-1036	135	134	two	two	NUM
cana-1036	135	135	algorithms	algorithm	NOUN
cana-1036	135	136	for	for	ADP
cana-1036	135	137	calculating	calculate	VERB
cana-1036	135	138	the	the	DET
cana-1036	135	139	expected	expect	VERB
cana-1036	135	140	value	value	NOUN
cana-1036	135	141	are	be	AUX
cana-1036	135	142	proposed	propose	VERB
cana-1036	135	143	to	to	PART
cana-1036	135	144	overcome	overcome	VERB
cana-1036	135	145	the	the	DET
cana-1036	135	146	limitations	limitation	NOUN
cana-1036	135	147	and	and	CCONJ
cana-1036	135	148	shortcomings	shortcoming	NOUN
cana-1036	135	149	of	of	ADP
cana-1036	135	150	the	the	DET
cana-1036	135	151	existing	exist	VERB
cana-1036	135	152	method	method	NOUN
cana-1036	135	153	.	.	PUNCT
cana-1036	136	1	this	this	DET
cana-1036	136	2	paper	paper	NOUN
cana-1036	136	3	mainly	mainly	ADV
cana-1036	136	4	concentrates	concentrate	VERB
cana-1036	136	5	on	on	ADP
cana-1036	136	6	focusing	focus	VERB
cana-1036	136	7	on	on	ADP
cana-1036	136	8	the	the	DET
cana-1036	136	9	newly	newly	ADV
cana-1036	136	10	emerging	emerge	VERB
cana-1036	136	11	fuzzy	fuzzy	ADJ
cana-1036	136	12	set	set	NOUN
cana-1036	136	13	theory	theory	NOUN
cana-1036	136	14	"	"	PUNCT
cana-1036	136	15	hesitant	hesitant	ADJ
cana-1036	136	16	fuzzy	fuzzy	ADJ
cana-1036	136	17	set	set	NOUN
cana-1036	136	18	theory	theory	NOUN
cana-1036	136	19	"	"	PUNCT
cana-1036	136	20	.	.	PUNCT
cana-1036	137	1	here	here	ADV
cana-1036	137	2	,	,	PUNCT
cana-1036	137	3	the	the	DET
cana-1036	137	4	triangular	triangular	NOUN
cana-1036	137	5	hesitant	hesitant	ADJ
cana-1036	137	6	fuzzy	fuzzy	ADJ
cana-1036	137	7	sets	set	NOUN
cana-1036	137	8	,	,	PUNCT
cana-1036	137	9	which	which	PRON
cana-1036	137	10	are	be	AUX
cana-1036	137	11	made	make	VERB
cana-1036	137	12	up	up	ADP
cana-1036	137	13	of	of	ADP
cana-1036	137	14	triangular	triangular	NOUN
cana-1036	137	15	hesitant	hesitant	ADJ
cana-1036	137	16	fuzzy	fuzzy	ADJ
cana-1036	137	17	elements	element	NOUN
cana-1036	137	18	,	,	PUNCT
cana-1036	137	19	were	be	AUX
cana-1036	137	20	utilized	utilize	VERB
cana-1036	137	21	.	.	PUNCT
cana-1036	138	1	under	under	ADP
cana-1036	138	2	the	the	DET
cana-1036	138	3	triangular	triangular	NOUN
cana-1036	138	4	hesitant	hesitant	ADJ
cana-1036	138	5	fuzzy	fuzzy	ADJ
cana-1036	138	6	environment	environment	NOUN
cana-1036	138	7	,	,	PUNCT
cana-1036	138	8	we	we	PRON
cana-1036	138	9	provided	provide	VERB
cana-1036	138	10	the	the	DET
cana-1036	138	11	decision	decision	NOUN
cana-1036	138	12	-	-	PUNCT
cana-1036	138	13	making	make	VERB
cana-1036	138	14	issue	issue	NOUN
cana-1036	138	15	with	with	ADP
cana-1036	138	16	linguistic	linguistic	ADJ
cana-1036	138	17	evaluations	evaluation	NOUN
cana-1036	138	18	and	and	CCONJ
cana-1036	138	19	fully	fully	ADV
cana-1036	138	20	unknown	unknown	ADJ
cana-1036	138	21	criteria	criterion	NOUN
cana-1036	138	22	weights	weight	NOUN
cana-1036	138	23	.	.	PUNCT
cana-1036	139	1	comparison	comparison	NOUN
cana-1036	139	2	is	be	AUX
cana-1036	139	3	done	do	VERB
cana-1036	139	4	between	between	ADP
cana-1036	139	5	the	the	DET
cana-1036	139	6	algorithms	algorithm	NOUN
cana-1036	139	7	.	.	PUNCT
cana-1036	140	1	the	the	DET
cana-1036	140	2	"	"	PUNCT
cana-1036	140	3	mid	mid	ADJ
cana-1036	140	4	value	value	NOUN
cana-1036	140	5	ranking	ranking	NOUN
cana-1036	140	6	variance	variance	NOUN
cana-1036	140	7	"	"	PUNCT
cana-1036	140	8	of	of	ADP
cana-1036	140	9	these	these	DET
cana-1036	140	10	two	two	NUM
cana-1036	140	11	proposed	propose	VERB
cana-1036	140	12	methods	method	NOUN
cana-1036	140	13	is	be	AUX
cana-1036	140	14	a	a	DET
cana-1036	140	15	good	good	ADJ
cana-1036	140	16	ranking	ranking	ADJ
cana-1036	140	17	principle	principle	NOUN
cana-1036	140	18	that	that	PRON
cana-1036	140	19	is	be	AUX
cana-1036	140	20	also	also	ADV
cana-1036	140	21	simple	simple	ADJ
cana-1036	140	22	to	to	PART
cana-1036	140	23	apply	apply	VERB
cana-1036	140	24	to	to	ADP
cana-1036	140	25	communications	communication	NOUN
cana-1036	140	26	on	on	ADP
cana-1036	140	27	applied	apply	VERB
cana-1036	140	28	nonlinear	nonlinear	ADJ
cana-1036	140	29	analysis	analysis	NOUN
cana-1036	140	30	issn	issn	NOUN
cana-1036	140	31	:	:	PUNCT
cana-1036	140	32	1074	1074	NUM
cana-1036	140	33	-	-	PUNCT
cana-1036	140	34	133x	133x	NUM
cana-1036	140	35	vol	vol	NOUN
cana-1036	140	36	31	31	NUM
cana-1036	140	37	no	no	NOUN
cana-1036	140	38	.	.	PUNCT
cana-1036	141	1	5s	5s	NUM
cana-1036	141	2	(	(	PUNCT
cana-1036	141	3	2024	2024	NUM
cana-1036	141	4	)	)	PUNCT
cana-1036	141	5	288	288	NUM
cana-1036	141	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1036	141	7	mcdm	mcdm	ADJ
cana-1036	141	8	problems	problem	NOUN
cana-1036	141	9	with	with	ADP
cana-1036	141	10	uncertain	uncertain	ADJ
cana-1036	141	11	,	,	PUNCT
cana-1036	141	12	imprecise	imprecise	ADV
cana-1036	141	13	,	,	PUNCT
cana-1036	141	14	or	or	CCONJ
cana-1036	141	15	vague	vague	ADJ
cana-1036	141	16	circumstances	circumstance	NOUN
cana-1036	141	17	.	.	PUNCT
cana-1036	142	1	this	this	DET
cana-1036	142	2	approach	approach	NOUN
cana-1036	142	3	in	in	ADP
cana-1036	142	4	particular	particular	ADJ
cana-1036	142	5	takes	take	VERB
cana-1036	142	6	a	a	DET
cana-1036	142	7	lot	lot	NOUN
cana-1036	142	8	of	of	ADP
cana-1036	142	9	time	time	NOUN
cana-1036	142	10	.	.	PUNCT
cana-1036	143	1	references	reference	NOUN
cana-1036	143	2	[	[	X
cana-1036	143	3	1	1	X
cana-1036	143	4	]	]	PUNCT
cana-1036	143	5	jianzhou	jianzhou	PROPN
cana-1036	143	6	wang	wang	PROPN
cana-1036	143	7	,	,	PUNCT
cana-1036	143	8	hongmin	hongmin	PROPN
cana-1036	143	9	li	li	PROPN
cana-1036	143	10	,	,	PUNCT
cana-1036	143	11	ying	ying	PROPN
cana-1036	143	12	wang	wang	PROPN
cana-1036	143	13	,	,	PUNCT
cana-1036	143	14	haiyan	haiyan	PROPN
cana-1036	143	15	lu	lu	PROPN
cana-1036	143	16	,	,	PUNCT
cana-1036	143	17	a	a	DET
cana-1036	143	18	hesitant	hesitant	ADJ
cana-1036	143	19	fuzzy	fuzzy	ADJ
cana-1036	143	20	wind	wind	NOUN
cana-1036	143	21	speed	speed	NOUN
cana-1036	143	22	forecasting	forecasting	NOUN
cana-1036	143	23	system	system	NOUN
cana-1036	143	24	with	with	ADP
cana-1036	143	25	novel	novel	ADJ
cana-1036	143	26	defuzzification	defuzzification	NOUN
cana-1036	143	27	method	method	NOUN
cana-1036	143	28	and	and	CCONJ
cana-1036	143	29	multi	multi	ADJ
cana-1036	143	30	-	-	ADJ
cana-1036	143	31	objective	objective	ADJ
cana-1036	143	32	optimization	optimization	NOUN
cana-1036	143	33	algorithm	algorithm	NOUN
cana-1036	143	34	,	,	PUNCT
cana-1036	143	35	expert	expert	NOUN
cana-1036	143	36	systems	system	NOUN
cana-1036	143	37	with	with	ADP
cana-1036	143	38	applications	application	NOUN
cana-1036	143	39	68	68	NUM
cana-1036	143	40	(	(	PUNCT
cana-1036	143	41	2021),114364	2021),114364	NUM
cana-1036	143	42	.	.	PUNCT
cana-1036	144	1	[	[	X
cana-1036	144	2	2	2	NUM
cana-1036	144	3	]	]	PUNCT
cana-1036	144	4	x.	x.	PROPN
cana-1036	144	5	peng	peng	PROPN
cana-1036	144	6	,	,	PUNCT
cana-1036	144	7	j.	j.	PROPN
cana-1036	144	8	dai	dai	PROPN
cana-1036	144	9	,	,	PUNCT
cana-1036	144	10	l.	l.	PROPN
cana-1036	144	11	liu	liu	PROPN
cana-1036	144	12	,	,	PUNCT
cana-1036	144	13	interval	interval	NOUN
cana-1036	144	14	-	-	PUNCT
cana-1036	144	15	valued	value	VERB
cana-1036	144	16	dual	dual	ADV
cana-1036	144	17	hesitant	hesitant	ADJ
cana-1036	144	18	fuzzy	fuzzy	ADJ
cana-1036	144	19	information	information	NOUN
cana-1036	144	20	aggregation	aggregation	NOUN
cana-1036	144	21	and	and	CCONJ
cana-1036	144	22	its	its	PRON
cana-1036	144	23	application	application	NOUN
cana-1036	144	24	in	in	ADP
cana-1036	144	25	multiple	multiple	ADJ
cana-1036	144	26	attribute	attribute	NOUN
cana-1036	144	27	decision	decision	NOUN
cana-1036	144	28	making	making	NOUN
cana-1036	144	29	,	,	PUNCT
cana-1036	144	30	international	international	ADJ
cana-1036	144	31	journal	journal	NOUN
cana-1036	144	32	of	of	ADP
cana-1036	144	33	uncertainty	uncertainty	NOUN
cana-1036	144	34	quantification	quantification	NOUN
cana-1036	144	35	8	8	NUM
cana-1036	144	36	(	(	PUNCT
cana-1036	144	37	2018	2018	NUM
cana-1036	144	38	)	)	PUNCT
cana-1036	144	39	,	,	PUNCT
cana-1036	144	40	361–382	361–382	NUM
cana-1036	144	41	.	.	PUNCT
cana-1036	145	1	[	[	X
cana-1036	145	2	3	3	X
cana-1036	145	3	]	]	X
cana-1036	145	4	d.	d.	PROPN
cana-1036	145	5	stephen	stephen	PROPN
cana-1036	145	6	dinagar	dinagar	PROPN
cana-1036	145	7	,	,	PUNCT
cana-1036	145	8	e.	e.	PROPN
cana-1036	145	9	fany	fany	PROPN
cana-1036	145	10	helena	helena	PROPN
cana-1036	145	11	,	,	PUNCT
cana-1036	145	12	similarity	similarity	NOUN
cana-1036	145	13	measure	measure	NOUN
cana-1036	145	14	using	use	VERB
cana-1036	145	15	sign	sign	NOUN
cana-1036	145	16	distance	distance	NOUN
cana-1036	145	17	,	,	PUNCT
cana-1036	145	18	advances	advance	NOUN
cana-1036	145	19	in	in	ADP
cana-1036	145	20	mathematics	mathematic	NOUN
cana-1036	145	21	:	:	PUNCT
cana-1036	145	22	scientific	scientific	ADJ
cana-1036	145	23	journal	journal	NOUN
cana-1036	145	24	10:1	10:1	NUM
cana-1036	145	25	(	(	PUNCT
cana-1036	145	26	2021	2021	NUM
cana-1036	145	27	)	)	PUNCT
cana-1036	145	28	,	,	PUNCT
cana-1036	145	29	193	193	NUM
cana-1036	145	30	-	-	SYM
cana-1036	145	31	197	197	NUM
cana-1036	145	32	.	.	PUNCT
cana-1036	146	1	[	[	X
cana-1036	146	2	4	4	X
cana-1036	146	3	]	]	X
cana-1036	146	4	d.	d.	PROPN
cana-1036	146	5	stephen	stephen	PROPN
cana-1036	146	6	dinagar	dinagar	PROPN
cana-1036	146	7	,	,	PUNCT
cana-1036	146	8	e.	e.	PROPN
cana-1036	146	9	fany	fany	PROPN
cana-1036	146	10	helena	helena	PROPN
cana-1036	146	11	,	,	PUNCT
cana-1036	146	12	similarity	similarity	NOUN
cana-1036	146	13	measures	measure	NOUN
cana-1036	146	14	of	of	ADP
cana-1036	146	15	intuitionistic	intuitionistic	ADJ
cana-1036	146	16	trapezoidal	trapezoidal	ADJ
cana-1036	146	17	fuzzy	fuzzy	ADJ
cana-1036	146	18	number	number	NOUN
cana-1036	146	19	using	use	VERB
cana-1036	146	20	centroids	centroid	NOUN
cana-1036	146	21	of	of	ADP
cana-1036	146	22	horizontal	horizontal	PROPN
cana-1036	146	23	&	&	CCONJ
cana-1036	146	24	vertical	vertical	ADJ
cana-1036	146	25	axes	axis	NOUN
cana-1036	146	26	and	and	CCONJ
cana-1036	146	27	value	value	NOUN
cana-1036	146	28	&	&	CCONJ
cana-1036	146	29	ambiguity	ambiguity	NOUN
cana-1036	146	30	indices	index	NOUN
cana-1036	146	31	,	,	PUNCT
cana-1036	146	32	advances	advance	NOUN
cana-1036	146	33	and	and	CCONJ
cana-1036	146	34	applications	application	NOUN
cana-1036	146	35	in	in	ADP
cana-1036	146	36	mathematical	mathematical	ADJ
cana-1036	146	37	sciences	science	NOUN
cana-1036	146	38	20	20	NUM
cana-1036	146	39	:	:	SYM
cana-1036	146	40	5	5	NUM
cana-1036	146	41	(	(	PUNCT
cana-1036	146	42	2021	2021	NUM
cana-1036	146	43	)	)	PUNCT
cana-1036	146	44	,	,	PUNCT
cana-1036	146	45	875	875	NUM
cana-1036	146	46	-	-	SYM
cana-1036	146	47	885	885	NUM
cana-1036	146	48	.	.	PUNCT
cana-1036	147	1	[	[	X
cana-1036	147	2	5	5	X
cana-1036	147	3	]	]	PUNCT
cana-1036	147	4	d.	d.	PROPN
cana-1036	147	5	stephen	stephen	PROPN
cana-1036	147	6	dinagar	dinagar	PROPN
cana-1036	147	7	,	,	PUNCT
cana-1036	147	8	e.	e.	PROPN
cana-1036	147	9	fany	fany	PROPN
cana-1036	147	10	helena	helena	PROPN
cana-1036	147	11	,	,	PUNCT
cana-1036	147	12	similarity	similarity	NOUN
cana-1036	147	13	measures	measure	NOUN
cana-1036	147	14	with	with	ADP
cana-1036	147	15	vector	vector	NOUN
cana-1036	147	16	–	–	PUNCT
cana-1036	147	17	length	length	NOUN
cana-1036	147	18	under	under	ADP
cana-1036	147	19	fuzzy	fuzzy	ADJ
cana-1036	147	20	environment	environment	NOUN
cana-1036	147	21	,	,	PUNCT
cana-1036	147	22	advances	advance	NOUN
cana-1036	147	23	and	and	CCONJ
cana-1036	147	24	applications	application	NOUN
cana-1036	147	25	in	in	ADP
cana-1036	147	26	mathematical	mathematical	ADJ
cana-1036	147	27	sciences	science	NOUN
cana-1036	147	28	20:8	20:8	NUM
cana-1036	147	29	(	(	PUNCT
cana-1036	147	30	2021),14251432	2021),14251432	NUM
cana-1036	147	31	.	.	PUNCT