id	sid	tid	token	lemma	pos
cana-4116	1	1	communications	communication	NOUN
cana-4116	1	2	on	on	ADP
cana-4116	1	3	applied	apply	VERB
cana-4116	1	4	nonlinear	nonlinear	ADJ
cana-4116	1	5	analysis	analysis	NOUN
cana-4116	1	6	issn	issn	NOUN
cana-4116	1	7	:	:	PUNCT
cana-4116	1	8	1074	1074	NUM
cana-4116	1	9	-	-	PUNCT
cana-4116	1	10	133x	133x	NUM
cana-4116	1	11	vol	vol	NOUN
cana-4116	1	12	32	32	NUM
cana-4116	1	13	no	no	NOUN
cana-4116	1	14	.	.	PUNCT
cana-4116	2	1	9s	9s	NUM
cana-4116	2	2	(	(	PUNCT
cana-4116	2	3	2025	2025	NUM
cana-4116	2	4	)	)	PUNCT
cana-4116	2	5	1089	1089	NUM
cana-4116	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	2	7	dual	dual	ADV
cana-4116	2	8	hesitant	hesitant	ADJ
cana-4116	2	9	fuzzy	fuzzy	ADJ
cana-4116	2	10	set	set	VERB
cana-4116	2	11	based	base	VERB
cana-4116	2	12	knowledge	knowledge	NOUN
cana-4116	2	13	and	and	CCONJ
cana-4116	2	14	accuracy	accuracy	NOUN
cana-4116	2	15	measure	measure	NOUN
cana-4116	2	16	with	with	ADP
cana-4116	2	17	its	its	PRON
cana-4116	2	18	application	application	NOUN
cana-4116	2	19	to	to	ADP
cana-4116	2	20	power	power	NOUN
cana-4116	2	21	crisis	crisis	NOUN
cana-4116	2	22	and	and	CCONJ
cana-4116	2	23	pattern	pattern	NOUN
cana-4116	2	24	detection	detection	NOUN
cana-4116	2	25	1alisha	1alisha	NUM
cana-4116	2	26	aggarwal	aggarwal	NOUN
cana-4116	2	27	,	,	PUNCT
cana-4116	2	28	2gurdas	2gurdas	NUM
cana-4116	2	29	ram	ram	NOUN
cana-4116	2	30	,	,	PUNCT
cana-4116	2	31	3anirudh	3anirudh	NUM
cana-4116	2	32	,	,	PUNCT
cana-4116	2	33	4ravinder	4ravinder	NUM
cana-4116	2	34	[	[	SYM
cana-4116	2	35	1,2,3,4]department	1,2,3,4]department	NUM
cana-4116	2	36	of	of	ADP
cana-4116	2	37	mathematics	mathematic	NOUN
cana-4116	2	38	,	,	PUNCT
cana-4116	2	39	maharishi	maharishi	PROPN
cana-4116	2	40	markandeshwar	markandeshwar	PROPN
cana-4116	2	41	(	(	PUNCT
cana-4116	2	42	deemed	deem	VERB
cana-4116	2	43	to	to	PART
cana-4116	2	44	be	be	AUX
cana-4116	2	45	university	university	NOUN
cana-4116	2	46	)	)	PUNCT
cana-4116	2	47	,	,	PUNCT
cana-4116	2	48	mullana	mullana	PROPN
cana-4116	2	49	-	-	PUNCT
cana-4116	2	50	ambala	ambala	PROPN
cana-4116	2	51	,	,	PUNCT
cana-4116	2	52	133207	133207	NUM
cana-4116	2	53	,	,	PUNCT
cana-4116	2	54	haryana	haryana	PROPN
cana-4116	2	55	(	(	PUNCT
cana-4116	2	56	india	india	PROPN
cana-4116	2	57	)	)	PUNCT
cana-4116	2	58	1aggarwalalisha95@gmail.com,2gurdasdadwal@mmumullana.org	1aggarwalalisha95@gmail.com,2gurdasdadwal@mmumullana.org	NUM
cana-4116	2	59	,	,	PUNCT
cana-4116	2	60	3anirudhkundu95@gmail.com,3ravindersheoran103@gmail.com	3anirudhkundu95@gmail.com,3ravindersheoran103@gmail.com	NUM
cana-4116	2	61	article	article	NOUN
cana-4116	2	62	history	history	NOUN
cana-4116	2	63	:	:	PUNCT
cana-4116	2	64	received	receive	VERB
cana-4116	2	65	:	:	PUNCT
cana-4116	2	66	12	12	NUM
cana-4116	2	67	-	-	SYM
cana-4116	2	68	01	01	NUM
cana-4116	2	69	-	-	PUNCT
cana-4116	2	70	2025	2025	NUM
cana-4116	2	71	revised	revise	VERB
cana-4116	2	72	:	:	PUNCT
cana-4116	2	73	15	15	NUM
cana-4116	2	74	-	-	NUM
cana-4116	2	75	02	02	NUM
cana-4116	2	76	-	-	PUNCT
cana-4116	2	77	2025	2025	NUM
cana-4116	2	78	accepted	accept	VERB
cana-4116	2	79	:	:	PUNCT
cana-4116	2	80	01	01	NUM
cana-4116	2	81	-	-	SYM
cana-4116	2	82	03	03	NUM
cana-4116	2	83	-	-	PUNCT
cana-4116	2	84	2025	2025	NUM
cana-4116	2	85	abstract	abstract	NOUN
cana-4116	2	86	:	:	PUNCT
cana-4116	2	87	fuzzy	fuzzy	ADJ
cana-4116	2	88	sets	set	NOUN
cana-4116	2	89	have	have	AUX
cana-4116	2	90	proven	prove	VERB
cana-4116	2	91	useful	useful	ADJ
cana-4116	2	92	in	in	ADP
cana-4116	2	93	the	the	DET
cana-4116	2	94	investigation	investigation	NOUN
cana-4116	2	95	of	of	ADP
cana-4116	2	96	unclear	unclear	ADJ
cana-4116	2	97	phenomena	phenomenon	NOUN
cana-4116	2	98	.	.	PUNCT
cana-4116	3	1	a	a	DET
cana-4116	3	2	number	number	NOUN
cana-4116	3	3	of	of	ADP
cana-4116	3	4	researchers	researcher	NOUN
cana-4116	3	5	suggested	suggest	VERB
cana-4116	3	6	intuitionistic	intuitionistic	ADJ
cana-4116	3	7	fuzzy	fuzzy	ADJ
cana-4116	3	8	sets	set	NOUN
cana-4116	3	9	(	(	PUNCT
cana-4116	3	10	ifss	ifss	NOUN
cana-4116	3	11	)	)	PUNCT
cana-4116	3	12	and	and	CCONJ
cana-4116	3	13	hesitant	hesitant	ADJ
cana-4116	3	14	fuzzy	fuzzy	ADJ
cana-4116	3	15	sets	set	NOUN
cana-4116	3	16	(	(	PUNCT
cana-4116	3	17	hfss	hfss	NOUN
cana-4116	3	18	)	)	PUNCT
cana-4116	3	19	as	as	ADP
cana-4116	3	20	an	an	DET
cana-4116	3	21	extension	extension	NOUN
cana-4116	3	22	of	of	ADP
cana-4116	3	23	fuzzy	fuzzy	ADJ
cana-4116	3	24	sets	set	NOUN
cana-4116	3	25	(	(	PUNCT
cana-4116	3	26	fss	fss	NOUN
cana-4116	3	27	)	)	PUNCT
cana-4116	3	28	,	,	PUNCT
cana-4116	3	29	and	and	CCONJ
cana-4116	3	30	these	these	DET
cana-4116	3	31	sets	set	NOUN
cana-4116	3	32	have	have	AUX
cana-4116	3	33	been	be	AUX
cana-4116	3	34	applied	apply	VERB
cana-4116	3	35	in	in	ADP
cana-4116	3	36	various	various	ADJ
cana-4116	3	37	contexts	contexts	NOUN
cana-4116	3	38	.	.	PUNCT
cana-4116	4	1	the	the	DET
cana-4116	4	2	study	study	NOUN
cana-4116	4	3	of	of	ADP
cana-4116	4	4	dual	dual	ADJ
cana-4116	4	5	hesitant	hesitant	ADJ
cana-4116	4	6	fuzzy	fuzzy	ADJ
cana-4116	4	7	sets	set	NOUN
cana-4116	4	8	contains	contain	VERB
cana-4116	4	9	two	two	NUM
cana-4116	4	10	type	type	NOUN
cana-4116	4	11	of	of	ADP
cana-4116	4	12	hesitancy	hesitancy	NOUN
cana-4116	4	13	function	function	NOUN
cana-4116	4	14	one	one	NUM
cana-4116	4	15	is	be	AUX
cana-4116	4	16	membership	membership	NOUN
cana-4116	4	17	and	and	CCONJ
cana-4116	4	18	other	other	ADJ
cana-4116	4	19	is	be	AUX
cana-4116	4	20	non	non	ADJ
cana-4116	4	21	-	-	NOUN
cana-4116	4	22	membership	membership	NOUN
cana-4116	4	23	,	,	PUNCT
cana-4116	4	24	they	they	PRON
cana-4116	4	25	carry	carry	VERB
cana-4116	4	26	out	out	ADP
cana-4116	4	27	the	the	DET
cana-4116	4	28	hesitation	hesitation	NOUN
cana-4116	4	29	scenario	scenario	NOUN
cana-4116	4	30	and	and	CCONJ
cana-4116	4	31	provides	provide	VERB
cana-4116	4	32	an	an	DET
cana-4116	4	33	adequate	adequate	ADJ
cana-4116	4	34	way	way	NOUN
cana-4116	4	35	to	to	PART
cana-4116	4	36	provide	provide	VERB
cana-4116	4	37	values	value	NOUN
cana-4116	4	38	corresponding	correspond	VERB
cana-4116	4	39	to	to	ADP
cana-4116	4	40	each	each	DET
cana-4116	4	41	element	element	NOUN
cana-4116	4	42	present	present	ADJ
cana-4116	4	43	in	in	ADP
cana-4116	4	44	domain	domain	NOUN
cana-4116	4	45	.	.	PUNCT
cana-4116	5	1	the	the	DET
cana-4116	5	2	fss	fss	ADJ
cana-4116	5	3	,	,	PUNCT
cana-4116	5	4	ifss	ifss	ADJ
cana-4116	5	5	and	and	CCONJ
cana-4116	5	6	hfss	hfss	NOUN
cana-4116	5	7	as	as	SCONJ
cana-4116	5	8	special	special	ADJ
cana-4116	5	9	cases	case	NOUN
cana-4116	5	10	are	be	AUX
cana-4116	5	11	all	all	PRON
cana-4116	5	12	included	include	VERB
cana-4116	5	13	in	in	ADP
cana-4116	5	14	the	the	DET
cana-4116	5	15	dhfss	dhfss	NOUN
cana-4116	5	16	.	.	PUNCT
cana-4116	6	1	compared	compare	VERB
cana-4116	6	2	with	with	ADP
cana-4116	6	3	ifs	ifs	PROPN
cana-4116	6	4	and	and	CCONJ
cana-4116	6	5	hfs	hfs	PROPN
cana-4116	6	6	,	,	PUNCT
cana-4116	6	7	dhfs	dhfs	NOUN
cana-4116	6	8	is	be	AUX
cana-4116	6	9	more	more	ADV
cana-4116	6	10	advantageous	advantageous	ADJ
cana-4116	6	11	in	in	ADP
cana-4116	6	12	dealing	deal	VERB
cana-4116	6	13	with	with	ADP
cana-4116	6	14	multiple	multiple	ADJ
cana-4116	6	15	attribute	attribute	NOUN
cana-4116	6	16	decision	decision	NOUN
cana-4116	6	17	making	make	VERB
cana-4116	6	18	problems	problem	NOUN
cana-4116	6	19	.	.	PUNCT
cana-4116	7	1	in	in	ADP
cana-4116	7	2	this	this	DET
cana-4116	7	3	paper	paper	NOUN
cana-4116	7	4	,	,	PUNCT
cana-4116	7	5	a	a	DET
cana-4116	7	6	new	new	ADJ
cana-4116	7	7	knowledge	knowledge	NOUN
cana-4116	7	8	and	and	CCONJ
cana-4116	7	9	accuracy	accuracy	NOUN
cana-4116	7	10	measure	measure	NOUN
cana-4116	7	11	for	for	ADP
cana-4116	7	12	dhfs	dhfs	NOUN
cana-4116	7	13	has	have	AUX
cana-4116	7	14	been	be	AUX
cana-4116	7	15	proposed	propose	VERB
cana-4116	7	16	.	.	PUNCT
cana-4116	8	1	the	the	DET
cana-4116	8	2	main	main	ADJ
cana-4116	8	3	motive	motive	NOUN
cana-4116	8	4	of	of	ADP
cana-4116	8	5	this	this	DET
cana-4116	8	6	paper	paper	NOUN
cana-4116	8	7	is	be	AUX
cana-4116	8	8	to	to	PART
cana-4116	8	9	investigate	investigate	VERB
cana-4116	8	10	knowledge	knowledge	NOUN
cana-4116	8	11	and	and	CCONJ
cana-4116	8	12	accuracy	accuracy	NOUN
cana-4116	8	13	measures	measure	NOUN
cana-4116	8	14	for	for	ADP
cana-4116	8	15	dhfss	dhfss	NOUN
cana-4116	8	16	and	and	CCONJ
cana-4116	8	17	to	to	PART
cana-4116	8	18	compare	compare	VERB
cana-4116	8	19	the	the	DET
cana-4116	8	20	performance	performance	NOUN
cana-4116	8	21	of	of	ADP
cana-4116	8	22	a	a	DET
cana-4116	8	23	proposed	propose	VERB
cana-4116	8	24	knowledge	knowledge	NOUN
cana-4116	8	25	and	and	CCONJ
cana-4116	8	26	accuracy	accuracy	NOUN
cana-4116	8	27	measure	measure	NOUN
cana-4116	8	28	in	in	ADP
cana-4116	8	29	the	the	DET
cana-4116	8	30	dhf	dhf	NOUN
cana-4116	8	31	environment	environment	NOUN
cana-4116	8	32	with	with	ADP
cana-4116	8	33	other	other	ADJ
cana-4116	8	34	current	current	ADJ
cana-4116	8	35	measures	measure	NOUN
cana-4116	8	36	.	.	PUNCT
cana-4116	9	1	we	we	PRON
cana-4116	9	2	also	also	ADV
cana-4116	9	3	demonstrate	demonstrate	VERB
cana-4116	9	4	the	the	DET
cana-4116	9	5	application	application	NOUN
cana-4116	9	6	of	of	ADP
cana-4116	9	7	knowledge	knowledge	NOUN
cana-4116	9	8	measure	measure	NOUN
cana-4116	9	9	and	and	CCONJ
cana-4116	9	10	accuracy	accuracy	NOUN
cana-4116	9	11	measure	measure	NOUN
cana-4116	9	12	that	that	PRON
cana-4116	9	13	we	we	PRON
cana-4116	9	14	have	have	AUX
cana-4116	9	15	developed	develop	VERB
cana-4116	9	16	to	to	PART
cana-4116	9	17	tackle	tackle	VERB
cana-4116	9	18	the	the	DET
cana-4116	9	19	problem	problem	NOUN
cana-4116	9	20	of	of	ADP
cana-4116	9	21	power	power	NOUN
cana-4116	9	22	crisis	crisis	NOUN
cana-4116	9	23	in	in	ADP
cana-4116	9	24	a	a	DET
cana-4116	9	25	developing	develop	VERB
cana-4116	9	26	country	country	NOUN
cana-4116	9	27	.	.	PUNCT
cana-4116	10	1	we	we	PRON
cana-4116	10	2	demonstrate	demonstrate	VERB
cana-4116	10	3	how	how	SCONJ
cana-4116	10	4	our	our	PRON
cana-4116	10	5	suggested	suggest	VERB
cana-4116	10	6	accuracy	accuracy	NOUN
cana-4116	10	7	measure	measure	NOUN
cana-4116	10	8	of	of	ADP
cana-4116	10	9	dhfss	dhfss	NOUN
cana-4116	10	10	outperforms	outperform	VERB
cana-4116	10	11	certain	certain	ADJ
cana-4116	10	12	similarity	similarity	NOUN
cana-4116	10	13	and	and	CCONJ
cana-4116	10	14	distance	distance	NOUN
cana-4116	10	15	measurements	measurement	NOUN
cana-4116	10	16	.	.	PUNCT
cana-4116	11	1	keywords	keyword	NOUN
cana-4116	11	2	:	:	PUNCT
cana-4116	11	3	dual	dual	ADV
cana-4116	11	4	hesitant	hesitant	ADJ
cana-4116	11	5	fuzzy	fuzzy	ADJ
cana-4116	11	6	set	set	NOUN
cana-4116	11	7	,	,	PUNCT
cana-4116	11	8	knowledge	knowledge	NOUN
cana-4116	11	9	measure	measure	NOUN
cana-4116	11	10	,	,	PUNCT
cana-4116	11	11	accuracy	accuracy	NOUN
cana-4116	11	12	measure	measure	NOUN
cana-4116	11	13	,	,	PUNCT
cana-4116	11	14	multi	multi	ADJ
cana-4116	11	15	attribute	attribute	NOUN
cana-4116	11	16	decision	decision	NOUN
cana-4116	11	17	making	making	NOUN
cana-4116	11	18	.	.	PUNCT
cana-4116	12	1	1	1	X
cana-4116	12	2	.	.	X
cana-4116	12	3	introduction	introduction	NOUN
cana-4116	12	4	since	since	SCONJ
cana-4116	12	5	uncertainty	uncertainty	NOUN
cana-4116	12	6	exists	exist	VERB
cana-4116	12	7	in	in	ADP
cana-4116	12	8	practically	practically	ADV
cana-4116	12	9	every	every	PRON
cana-4116	12	10	aspect	aspect	NOUN
cana-4116	12	11	of	of	ADP
cana-4116	12	12	our	our	PRON
cana-4116	12	13	everyday	everyday	ADJ
cana-4116	12	14	lives	life	NOUN
cana-4116	12	15	,	,	PUNCT
cana-4116	12	16	numerous	numerous	ADJ
cana-4116	12	17	technologies	technology	NOUN
cana-4116	12	18	have	have	AUX
cana-4116	12	19	been	be	AUX
cana-4116	12	20	created	create	VERB
cana-4116	12	21	to	to	PART
cana-4116	12	22	identify	identify	VERB
cana-4116	12	23	and	and	CCONJ
cana-4116	12	24	address	address	VERB
cana-4116	12	25	it	it	PRON
cana-4116	12	26	.	.	PUNCT
cana-4116	13	1	researchers	researcher	NOUN
cana-4116	13	2	have	have	AUX
cana-4116	13	3	created	create	VERB
cana-4116	13	4	a	a	DET
cana-4116	13	5	number	number	NOUN
cana-4116	13	6	of	of	ADP
cana-4116	13	7	useful	useful	ADJ
cana-4116	13	8	instruments	instrument	NOUN
cana-4116	13	9	and	and	CCONJ
cana-4116	13	10	approaches	approach	NOUN
cana-4116	13	11	to	to	PART
cana-4116	13	12	deal	deal	VERB
cana-4116	13	13	with	with	ADP
cana-4116	13	14	ambiguity	ambiguity	NOUN
cana-4116	13	15	and	and	CCONJ
cana-4116	13	16	imprecision	imprecision	NOUN
cana-4116	13	17	in	in	ADP
cana-4116	13	18	practical	practical	ADJ
cana-4116	13	19	settings	setting	NOUN
cana-4116	13	20	,	,	PUNCT
cana-4116	13	21	but	but	CCONJ
cana-4116	13	22	there	there	PRON
cana-4116	13	23	are	be	VERB
cana-4116	13	24	still	still	ADV
cana-4116	13	25	a	a	DET
cana-4116	13	26	number	number	NOUN
cana-4116	13	27	of	of	ADP
cana-4116	13	28	circumstances	circumstance	NOUN
cana-4116	13	29	in	in	ADP
cana-4116	13	30	which	which	PRON
cana-4116	13	31	people	people	NOUN
cana-4116	13	32	are	be	AUX
cana-4116	13	33	apprehensive	apprehensive	ADJ
cana-4116	13	34	or	or	CCONJ
cana-4116	13	35	suspicious	suspicious	ADJ
cana-4116	13	36	for	for	ADP
cana-4116	13	37	various	various	ADJ
cana-4116	13	38	reasons	reason	NOUN
cana-4116	13	39	.	.	PUNCT
cana-4116	14	1	there	there	PRON
cana-4116	14	2	is	be	VERB
cana-4116	14	3	a	a	DET
cana-4116	14	4	great	great	ADJ
cana-4116	14	5	deal	deal	NOUN
cana-4116	14	6	of	of	ADP
cana-4116	14	7	vagueness	vagueness	NOUN
cana-4116	14	8	and	and	CCONJ
cana-4116	14	9	uncertainty	uncertainty	NOUN
cana-4116	14	10	in	in	ADP
cana-4116	14	11	these	these	DET
cana-4116	14	12	issues	issue	NOUN
cana-4116	14	13	.	.	PUNCT
cana-4116	15	1	sometimes	sometimes	ADV
cana-4116	15	2	hesitation	hesitation	NOUN
cana-4116	15	3	and	and	CCONJ
cana-4116	15	4	uncertainty	uncertainty	NOUN
cana-4116	15	5	can	can	AUX
cana-4116	15	6	enforce	enforce	VERB
cana-4116	15	7	even	even	ADV
cana-4116	15	8	a	a	DET
cana-4116	15	9	simple	simple	ADJ
cana-4116	15	10	situation	situation	NOUN
cana-4116	15	11	to	to	PART
cana-4116	15	12	become	become	VERB
cana-4116	15	13	too	too	ADV
cana-4116	15	14	complicated	complicated	ADJ
cana-4116	15	15	.	.	PUNCT
cana-4116	16	1	there	there	PRON
cana-4116	16	2	are	be	VERB
cana-4116	16	3	several	several	ADJ
cana-4116	16	4	ways	way	NOUN
cana-4116	16	5	to	to	PART
cana-4116	16	6	express	express	VERB
cana-4116	16	7	uncertainty	uncertainty	NOUN
cana-4116	16	8	,	,	PUNCT
cana-4116	16	9	including	include	VERB
cana-4116	16	10	unpredictability	unpredictability	NOUN
cana-4116	16	11	,	,	PUNCT
cana-4116	16	12	fuzziness	fuzziness	NOUN
cana-4116	16	13	,	,	PUNCT
cana-4116	16	14	incompleteness	incompleteness	NOUN
cana-4116	16	15	,	,	PUNCT
cana-4116	16	16	etc	etc	X
cana-4116	16	17	.	.	X
cana-4116	17	1	the	the	DET
cana-4116	17	2	first	first	ADJ
cana-4116	17	3	fuzzy	fuzzy	ADJ
cana-4116	17	4	theory	theory	NOUN
cana-4116	17	5	to	to	PART
cana-4116	17	6	address	address	VERB
cana-4116	17	7	uncertainty	uncertainty	NOUN
cana-4116	17	8	issues	issue	NOUN
cana-4116	17	9	in	in	ADP
cana-4116	17	10	a	a	DET
cana-4116	17	11	variety	variety	NOUN
cana-4116	17	12	of	of	ADP
cana-4116	17	13	domains	domain	NOUN
cana-4116	17	14	was	be	AUX
cana-4116	17	15	proposed	propose	VERB
cana-4116	17	16	by	by	ADP
cana-4116	17	17	zadeh	zadeh	PROPN
cana-4116	18	1	[	[	X
cana-4116	18	2	1	1	NUM
cana-4116	18	3	]	]	PUNCT
cana-4116	18	4	.	.	PUNCT
cana-4116	19	1	however	however	ADV
cana-4116	19	2	,	,	PUNCT
cana-4116	19	3	it	it	PRON
cana-4116	19	4	is	be	AUX
cana-4116	19	5	limited	limit	VERB
cana-4116	19	6	in	in	ADP
cana-4116	19	7	how	how	SCONJ
cana-4116	19	8	it	it	PRON
cana-4116	19	9	can	can	AUX
cana-4116	19	10	handle	handle	VERB
cana-4116	19	11	unclear	unclear	ADJ
cana-4116	19	12	data	datum	NOUN
cana-4116	19	13	.	.	PUNCT
cana-4116	20	1	accordingly	accordingly	ADV
cana-4116	20	2	,	,	PUNCT
cana-4116	20	3	traditional	traditional	ADJ
cana-4116	20	4	fs	fs	X
cana-4116	20	5	has	have	VERB
cana-4116	20	6	minimal	minimal	ADJ
cana-4116	20	7	limitations	limitation	NOUN
cana-4116	20	8	.	.	PUNCT
cana-4116	21	1	several	several	ADJ
cana-4116	21	2	fuzzy	fuzzy	ADJ
cana-4116	21	3	set	set	NOUN
cana-4116	21	4	extensions	extension	NOUN
cana-4116	21	5	have	have	AUX
cana-4116	21	6	been	be	AUX
cana-4116	21	7	introduced	introduce	VERB
cana-4116	21	8	to	to	PART
cana-4116	21	9	address	address	VERB
cana-4116	21	10	this	this	DET
cana-4116	21	11	scenario	scenario	NOUN
cana-4116	21	12	,	,	PUNCT
cana-4116	21	13	such	such	ADJ
cana-4116	21	14	as	as	ADP
cana-4116	21	15	the	the	DET
cana-4116	21	16	type-2	type-2	NUM
cana-4116	21	17	fuzzy	fuzzy	ADJ
cana-4116	21	18	set	set	VERB
cana-4116	21	19	by	by	ADP
cana-4116	21	20	dubois	dubois	PROPN
cana-4116	21	21	et	et	PROPN
cana-4116	21	22	al.[2	al.[2	PROPN
cana-4116	21	23	]	]	X
cana-4116	21	24	,	,	PUNCT
cana-4116	21	25	the	the	DET
cana-4116	21	26	intuitionistic	intuitionistic	ADJ
cana-4116	21	27	fuzzy	fuzzy	ADJ
cana-4116	21	28	set	set	NOUN
cana-4116	21	29	(	(	PUNCT
cana-4116	21	30	ifs	ifs	PROPN
cana-4116	21	31	)	)	PUNCT
cana-4116	21	32	by	by	ADP
cana-4116	21	33	atanassov	atanassov	NOUN
cana-4116	22	1	[	[	X
cana-4116	22	2	3	3	NUM
cana-4116	22	3	]	]	PUNCT
cana-4116	22	4	,	,	PUNCT
cana-4116	22	5	the	the	DET
cana-4116	22	6	ivifs	ivif	NOUN
cana-4116	22	7	by	by	ADP
cana-4116	22	8	bustince	bustince	NOUN
cana-4116	22	9	et	et	NOUN
cana-4116	22	10	al	al	PROPN
cana-4116	22	11	.	.	PROPN
cana-4116	23	1	and	and	CCONJ
cana-4116	23	2	turksen	turksen	VERB
cana-4116	23	3	[	[	X
cana-4116	23	4	4	4	NUM
cana-4116	23	5	,	,	PUNCT
cana-4116	23	6	5	5	NUM
cana-4116	23	7	]	]	PUNCT
cana-4116	23	8	,	,	PUNCT
cana-4116	23	9	and	and	CCONJ
cana-4116	23	10	so	so	ADV
cana-4116	23	11	on	on	ADV
cana-4116	23	12	.	.	PUNCT
cana-4116	24	1	boekee	boekee	ADJ
cana-4116	24	2	and	and	CCONJ
cana-4116	24	3	lubbe	lubbe	ADJ
cana-4116	25	1	[	[	X
cana-4116	25	2	6	6	NUM
cana-4116	25	3	]	]	PUNCT
cana-4116	25	4	provided	provide	VERB
cana-4116	25	5	an	an	DET
cana-4116	25	6	explanation	explanation	NOUN
cana-4116	25	7	of	of	ADP
cana-4116	25	8	r	r	NOUN
cana-4116	25	9	-	-	PUNCT
cana-4116	25	10	norm	norm	NOUN
cana-4116	25	11	i	i	PRON
cana-4116	25	12	m	m	VERB
cana-4116	25	13	in	in	ADP
cana-4116	25	14	probability	probability	NOUN
cana-4116	25	15	distributions	distribution	NOUN
cana-4116	25	16	.	.	PUNCT
cana-4116	26	1	additionally	additionally	ADV
cana-4116	26	2	,	,	PUNCT
cana-4116	26	3	bhandari	bhandari	NOUN
cana-4116	26	4	and	and	CCONJ
cana-4116	26	5	pal	pal	ADJ
cana-4116	26	6	[	[	X
cana-4116	26	7	7	7	NUM
cana-4116	26	8	]	]	PUNCT
cana-4116	26	9	investigates	investigate	VERB
cana-4116	26	10	some	some	DET
cana-4116	26	11	measures	measure	NOUN
cana-4116	26	12	like	like	ADP
cana-4116	26	13	information	information	NOUN
cana-4116	26	14	of	of	ADP
cana-4116	26	15	fss	fss	NOUN
cana-4116	26	16	and	and	CCONJ
cana-4116	26	17	offers	offer	VERB
cana-4116	26	18	multiple	multiple	ADJ
cana-4116	26	19	methods	method	NOUN
cana-4116	26	20	mailto:aggarwalalisha95@gmail.com	mailto:aggarwalalisha95@gmail.com	PROPN
cana-4116	26	21	,	,	PUNCT
cana-4116	26	22	mailto:1anirudhkundu95@gmail.com	mailto:1anirudhkundu95@gmail.com	X
cana-4116	26	23	,	,	PUNCT
cana-4116	26	24	communications	communication	NOUN
cana-4116	26	25	on	on	ADP
cana-4116	26	26	applied	apply	VERB
cana-4116	26	27	nonlinear	nonlinear	ADJ
cana-4116	26	28	analysis	analysis	NOUN
cana-4116	26	29	issn	issn	NOUN
cana-4116	26	30	:	:	PUNCT
cana-4116	26	31	1074	1074	NUM
cana-4116	26	32	-	-	PUNCT
cana-4116	26	33	133x	133x	NUM
cana-4116	26	34	vol	vol	NOUN
cana-4116	26	35	32	32	NUM
cana-4116	26	36	no	no	NOUN
cana-4116	26	37	.	.	PUNCT
cana-4116	27	1	9s	9s	NUM
cana-4116	27	2	(	(	PUNCT
cana-4116	27	3	2025	2025	NUM
cana-4116	27	4	)	)	PUNCT
cana-4116	27	5	1090	1090	NUM
cana-4116	27	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	27	7	for	for	ADP
cana-4116	27	8	the	the	DET
cana-4116	27	9	entropy	entropy	NOUN
cana-4116	27	10	.	.	PUNCT
cana-4116	28	1	however	however	ADV
cana-4116	28	2	,	,	PUNCT
cana-4116	28	3	in	in	ADP
cana-4116	28	4	many	many	ADJ
cana-4116	28	5	complex	complex	ADJ
cana-4116	28	6	situations	situation	NOUN
cana-4116	28	7	,	,	PUNCT
cana-4116	28	8	people	people	NOUN
cana-4116	28	9	find	find	VERB
cana-4116	28	10	it	it	PRON
cana-4116	28	11	difficult	difficult	ADJ
cana-4116	28	12	to	to	PART
cana-4116	28	13	approach	approach	VERB
cana-4116	28	14	the	the	DET
cana-4116	28	15	ultimate	ultimate	ADJ
cana-4116	28	16	agreement	agreement	NOUN
cana-4116	28	17	and	and	CCONJ
cana-4116	28	18	hesitate	hesitate	VERB
cana-4116	28	19	to	to	PART
cana-4116	28	20	make	make	VERB
cana-4116	28	21	a	a	DET
cana-4116	28	22	decision	decision	NOUN
cana-4116	28	23	.	.	PUNCT
cana-4116	29	1	in	in	ADP
cana-4116	29	2	order	order	NOUN
cana-4116	29	3	to	to	PART
cana-4116	29	4	address	address	VERB
cana-4116	29	5	these	these	DET
cana-4116	29	6	situations	situation	NOUN
cana-4116	29	7	,	,	PUNCT
cana-4116	29	8	xia	xia	PROPN
cana-4116	29	9	and	and	CCONJ
cana-4116	29	10	xu	xu	PROPN
cana-4116	30	1	[	[	X
cana-4116	30	2	8	8	NUM
cana-4116	30	3	,	,	PUNCT
cana-4116	30	4	9	9	NUM
cana-4116	30	5	]	]	PUNCT
cana-4116	31	1	and	and	CCONJ
cana-4116	31	2	torra	torra	VERB
cana-4116	31	3	[	[	X
cana-4116	31	4	10	10	NUM
cana-4116	31	5	]	]	PUNCT
cana-4116	31	6	defined	define	VERB
cana-4116	31	7	new	new	ADJ
cana-4116	31	8	extensions	extension	NOUN
cana-4116	31	9	called	call	VERB
cana-4116	31	10	hesitant	hesitant	ADJ
cana-4116	31	11	fuzzy	fuzzy	ADJ
cana-4116	31	12	sets	set	NOUN
cana-4116	31	13	(	(	PUNCT
cana-4116	31	14	hfss	hfss	NOUN
cana-4116	31	15	)	)	PUNCT
cana-4116	31	16	.	.	PUNCT
cana-4116	32	1	many	many	ADJ
cana-4116	32	2	scholars	scholar	NOUN
cana-4116	32	3	were	be	AUX
cana-4116	32	4	formerly	formerly	ADV
cana-4116	32	5	fascinated	fascinate	VERB
cana-4116	32	6	by	by	ADP
cana-4116	32	7	hfss	hfss	NOUN
cana-4116	32	8	,	,	PUNCT
cana-4116	32	9	leading	lead	VERB
cana-4116	32	10	them	they	PRON
cana-4116	32	11	to	to	PART
cana-4116	32	12	publish	publish	VERB
cana-4116	32	13	a	a	DET
cana-4116	32	14	variety	variety	NOUN
cana-4116	32	15	of	of	ADP
cana-4116	32	16	creative	creative	ADJ
cana-4116	32	17	solutions	solution	NOUN
cana-4116	32	18	in	in	ADP
cana-4116	32	19	the	the	DET
cana-4116	32	20	literature	literature	NOUN
cana-4116	32	21	,	,	PUNCT
cana-4116	32	22	including	include	VERB
cana-4116	32	23	as	as	ADP
cana-4116	32	24	decision	decision	NOUN
cana-4116	32	25	-	-	PUNCT
cana-4116	32	26	making	make	VERB
cana-4116	32	27	techniques	technique	NOUN
cana-4116	32	28	,	,	PUNCT
cana-4116	32	29	entropy	entropy	NOUN
cana-4116	32	30	measures	measure	NOUN
cana-4116	32	31	,	,	PUNCT
cana-4116	32	32	distance	distance	NOUN
cana-4116	32	33	measures	measure	NOUN
cana-4116	32	34	,	,	PUNCT
cana-4116	32	35	and	and	CCONJ
cana-4116	32	36	similarity	similarity	NOUN
cana-4116	32	37	measures	measure	NOUN
cana-4116	32	38	.	.	PUNCT
cana-4116	33	1	types	type	NOUN
cana-4116	33	2	of	of	ADP
cana-4116	33	3	hfss	hfss	NOUN
cana-4116	33	4	were	be	AUX
cana-4116	33	5	examined	examine	VERB
cana-4116	33	6	along	along	ADP
cana-4116	33	7	with	with	ADP
cana-4116	33	8	closeness	closeness	NOUN
cana-4116	33	9	,	,	PUNCT
cana-4116	33	10	distance	distance	NOUN
cana-4116	33	11	measure	measure	NOUN
cana-4116	33	12	and	and	CCONJ
cana-4116	33	13	hfes	hfe	VERB
cana-4116	33	14	entropy	entropy	NOUN
cana-4116	33	15	which	which	PRON
cana-4116	33	16	was	be	AUX
cana-4116	33	17	provided	provide	VERB
cana-4116	33	18	by	by	ADP
cana-4116	33	19	xu	xu	PROPN
cana-4116	34	1	[	[	X
cana-4116	34	2	11	11	NUM
cana-4116	34	3	]	]	PUNCT
cana-4116	34	4	and	and	CCONJ
cana-4116	34	5	zhang	zhang	PROPN
cana-4116	35	1	[	[	X
cana-4116	35	2	12	12	NUM
cana-4116	35	3	]	]	PUNCT
cana-4116	35	4	.	.	PUNCT
cana-4116	36	1	furthermore	furthermore	ADV
cana-4116	36	2	,	,	PUNCT
cana-4116	36	3	torra	torra	VERB
cana-4116	36	4	[	[	X
cana-4116	36	5	10	10	NUM
cana-4116	36	6	]	]	PUNCT
cana-4116	36	7	demonstrated	demonstrate	VERB
cana-4116	36	8	the	the	DET
cana-4116	36	9	connection	connection	NOUN
cana-4116	36	10	between	between	ADP
cana-4116	36	11	hfs	hfs	PROPN
cana-4116	36	12	and	and	CCONJ
cana-4116	36	13	ifs	ifs	PROPN
cana-4116	36	14	,	,	PUNCT
cana-4116	36	15	upon	upon	SCONJ
cana-4116	36	16	which	which	PRON
cana-4116	36	17	some	some	DET
cana-4116	36	18	operational	operational	ADJ
cana-4116	36	19	laws	law	NOUN
cana-4116	36	20	of	of	ADP
cana-4116	36	21	hfss	hfss	NOUN
cana-4116	36	22	was	be	AUX
cana-4116	36	23	provided	provide	VERB
cana-4116	36	24	by	by	ADP
cana-4116	36	25	xia	xia	PROPN
cana-4116	36	26	and	and	CCONJ
cana-4116	36	27	xu	xu	PROPN
cana-4116	37	1	[	[	X
cana-4116	37	2	8	8	NUM
cana-4116	37	3	]	]	PUNCT
cana-4116	37	4	.	.	PUNCT
cana-4116	38	1	the	the	DET
cana-4116	38	2	set	set	NOUN
cana-4116	38	3	of	of	ADP
cana-4116	38	4	alternative	alternative	ADJ
cana-4116	38	5	values	value	NOUN
cana-4116	38	6	provides	provide	VERB
cana-4116	38	7	the	the	DET
cana-4116	38	8	membership	membership	NOUN
cana-4116	38	9	and	and	CCONJ
cana-4116	38	10	non	non	ADJ
cana-4116	38	11	-	-	ADJ
cana-4116	38	12	membership	membership	ADJ
cana-4116	38	13	degrees	degree	NOUN
cana-4116	38	14	for	for	ADP
cana-4116	38	15	a	a	DET
cana-4116	38	16	dual	dual	ADV
cana-4116	38	17	hesitant	hesitant	ADJ
cana-4116	38	18	fuzzy	fuzzy	ADJ
cana-4116	38	19	set	set	NOUN
cana-4116	38	20	(	(	PUNCT
cana-4116	38	21	𝐷𝐻𝐹𝑆	𝐷𝐻𝐹𝑆	PROPN
cana-4116	38	22	)	)	PUNCT
cana-4116	38	23	,	,	PUNCT
cana-4116	38	24	which	which	PRON
cana-4116	38	25	was	be	AUX
cana-4116	38	26	proposed	propose	VERB
cana-4116	38	27	by	by	ADP
cana-4116	38	28	zhu	zhu	PROPN
cana-4116	38	29	and	and	CCONJ
cana-4116	38	30	xu	xu	PROPN
cana-4116	39	1	[	[	X
cana-4116	39	2	13	13	NUM
cana-4116	39	3	]	]	PUNCT
cana-4116	39	4	by	by	ADP
cana-4116	39	5	combining	combine	VERB
cana-4116	39	6	the	the	DET
cana-4116	39	7	ideas	idea	NOUN
cana-4116	39	8	of	of	ADP
cana-4116	39	9	ifs	ifs	PROPN
cana-4116	39	10	and	and	CCONJ
cana-4116	39	11	hfs	hfs	PROPN
cana-4116	39	12	.	.	PUNCT
cana-4116	40	1	the	the	DET
cana-4116	40	2	correlation	correlation	NOUN
cana-4116	40	3	coefficient	coefficient	NOUN
cana-4116	40	4	of	of	ADP
cana-4116	40	5	dhfss	dhfss	NOUN
cana-4116	40	6	was	be	AUX
cana-4116	40	7	defined	define	VERB
cana-4116	40	8	by	by	ADP
cana-4116	40	9	jun	jun	PROPN
cana-4116	40	10	ye[14	ye[14	PROPN
cana-4116	40	11	]	]	PUNCT
cana-4116	40	12	.	.	PUNCT
cana-4116	41	1	compared	compare	VERB
cana-4116	41	2	to	to	ADP
cana-4116	41	3	previous	previous	ADJ
cana-4116	41	4	fuzzy	fuzzy	ADJ
cana-4116	41	5	set	set	VERB
cana-4116	41	6	extensions	extension	NOUN
cana-4116	41	7	like	like	ADP
cana-4116	41	8	ifs	ifs	PROPN
cana-4116	41	9	and	and	CCONJ
cana-4116	41	10	hfs	hfs	PROPN
cana-4116	41	11	,	,	PUNCT
cana-4116	41	12	dhfs	dhfs	PROPN
cana-4116	41	13	is	be	AUX
cana-4116	41	14	able	able	ADJ
cana-4116	41	15	to	to	PART
cana-4116	41	16	more	more	ADV
cana-4116	41	17	accurately	accurately	ADV
cana-4116	41	18	capture	capture	VERB
cana-4116	41	19	human	human	ADJ
cana-4116	41	20	fuzziness	fuzziness	NOUN
cana-4116	41	21	and	and	CCONJ
cana-4116	41	22	reluctance	reluctance	NOUN
cana-4116	41	23	.	.	PUNCT
cana-4116	42	1	it	it	PRON
cana-4116	42	2	also	also	ADV
cana-4116	42	3	treats	treat	VERB
cana-4116	42	4	ifs	ifs	PROPN
cana-4116	42	5	and	and	CCONJ
cana-4116	42	6	hfs	hfs	VERB
cana-4116	42	7	as	as	ADP
cana-4116	42	8	exceptional	exceptional	ADJ
cana-4116	42	9	circumstances	circumstance	NOUN
cana-4116	42	10	.	.	PUNCT
cana-4116	43	1	additionally	additionally	ADV
cana-4116	43	2	,	,	PUNCT
cana-4116	43	3	zhu	zhu	PROPN
cana-4116	43	4	et	et	PROPN
cana-4116	43	5	al	al	PROPN
cana-4116	43	6	.	.	PROPN
cana-4116	43	7	examined	examine	VERB
cana-4116	43	8	the	the	DET
cana-4116	43	9	fundamental	fundamental	ADJ
cana-4116	43	10	features	feature	NOUN
cana-4116	43	11	and	and	CCONJ
cana-4116	43	12	operations	operation	NOUN
cana-4116	43	13	of	of	ADP
cana-4116	43	14	dhfss	dhfss	NOUN
cana-4116	43	15	,	,	PUNCT
cana-4116	43	16	that	that	PRON
cana-4116	43	17	include	include	VERB
cana-4116	43	18	fss	fss	PROPN
cana-4116	43	19	,	,	PUNCT
cana-4116	43	20	ifss	ifss	ADJ
cana-4116	43	21	,	,	PUNCT
cana-4116	43	22	and	and	CCONJ
cana-4116	43	23	hfss	hfss	NOUN
cana-4116	43	24	as	as	ADP
cana-4116	43	25	specific	specific	ADJ
cana-4116	43	26	examples	example	NOUN
cana-4116	43	27	.	.	PUNCT
cana-4116	44	1	decision	decision	NOUN
cana-4116	44	2	-	-	PUNCT
cana-4116	44	3	makers	maker	NOUN
cana-4116	44	4	can	can	AUX
cana-4116	44	5	reach	reach	VERB
cana-4116	44	6	judgements	judgement	NOUN
cana-4116	44	7	more	more	ADV
cana-4116	44	8	softly	softly	ADV
cana-4116	44	9	and	and	CCONJ
cana-4116	44	10	effectively	effectively	ADV
cana-4116	44	11	with	with	ADP
cana-4116	44	12	the	the	DET
cana-4116	44	13	help	help	NOUN
cana-4116	44	14	of	of	ADP
cana-4116	44	15	dhfss	dhfss	NOUN
cana-4116	44	16	,	,	PUNCT
cana-4116	44	17	that	that	PRON
cana-4116	44	18	are	be	AUX
cana-4116	44	19	better	well	ADV
cana-4116	44	20	suited	suited	ADJ
cana-4116	44	21	to	to	PART
cana-4116	44	22	handle	handle	VERB
cana-4116	44	23	decision	decision	NOUN
cana-4116	44	24	-	-	PUNCT
cana-4116	44	25	making	make	VERB
cana-4116	44	26	challenges	challenge	NOUN
cana-4116	44	27	.	.	PUNCT
cana-4116	45	1	a	a	DET
cana-4116	45	2	set	set	NOUN
cana-4116	45	3	that	that	PRON
cana-4116	45	4	encompasses	encompass	VERB
cana-4116	45	5	multiple	multiple	ADJ
cana-4116	45	6	existing	exist	VERB
cana-4116	45	7	sets	set	NOUN
cana-4116	45	8	,	,	PUNCT
cana-4116	45	9	two	two	NUM
cana-4116	45	10	sets	set	NOUN
cana-4116	45	11	of	of	ADP
cana-4116	45	12	possible	possible	ADJ
cana-4116	45	13	values	value	NOUN
cana-4116	45	14	indicate	indicate	VERB
cana-4116	45	15	the	the	DET
cana-4116	45	16	membership	membership	NOUN
cana-4116	45	17	degrees	degree	NOUN
cana-4116	45	18	of	of	ADP
cana-4116	45	19	dhfs	dhfs	NOUN
cana-4116	45	20	,	,	PUNCT
cana-4116	45	21	which	which	PRON
cana-4116	45	22	is	be	AUX
cana-4116	45	23	a	a	DET
cana-4116	45	24	complete	complete	ADJ
cana-4116	45	25	set	set	NOUN
cana-4116	45	26	.	.	PUNCT
cana-4116	46	1	scholars	scholar	NOUN
cana-4116	46	2	have	have	AUX
cana-4116	46	3	given	give	VERB
cana-4116	46	4	entropy	entropy	NOUN
cana-4116	46	5	a	a	DET
cana-4116	46	6	lot	lot	NOUN
cana-4116	46	7	of	of	ADP
cana-4116	46	8	attention	attention	NOUN
cana-4116	46	9	,	,	PUNCT
cana-4116	46	10	and	and	CCONJ
cana-4116	46	11	many	many	ADJ
cana-4116	46	12	positive	positive	ADJ
cana-4116	46	13	outcomes	outcome	NOUN
cana-4116	46	14	have	have	AUX
cana-4116	46	15	been	be	AUX
cana-4116	46	16	attained	attain	VERB
cana-4116	46	17	.	.	PUNCT
cana-4116	47	1	the	the	DET
cana-4116	47	2	concept	concept	NOUN
cana-4116	47	3	of	of	ADP
cana-4116	47	4	entropy	entropy	NOUN
cana-4116	47	5	for	for	ADP
cana-4116	47	6	ifss	ifss	NOUN
cana-4116	47	7	was	be	AUX
cana-4116	47	8	initially	initially	ADV
cana-4116	47	9	introduced	introduce	VERB
cana-4116	47	10	by	by	ADP
cana-4116	47	11	burillo	burillo	NOUN
cana-4116	47	12	and	and	CCONJ
cana-4116	47	13	bustince	bustince	NOUN
cana-4116	47	14	[	[	X
cana-4116	47	15	15	15	NUM
cana-4116	47	16	]	]	PUNCT
cana-4116	47	17	.	.	PUNCT
cana-4116	48	1	mao	mao	PROPN
cana-4116	49	1	[	[	X
cana-4116	49	2	16	16	NUM
cana-4116	49	3	]	]	PUNCT
cana-4116	49	4	improved	improve	VERB
cana-4116	49	5	the	the	DET
cana-4116	49	6	entropy	entropy	NOUN
cana-4116	49	7	constructive	constructive	ADJ
cana-4116	49	8	principle	principle	NOUN
cana-4116	49	9	for	for	ADP
cana-4116	49	10	ifss	ifss	NOUN
cana-4116	49	11	.	.	PUNCT
cana-4116	50	1	xu	xu	PROPN
cana-4116	50	2	and	and	CCONJ
cana-4116	50	3	xia	xia	PROPN
cana-4116	51	1	[	[	X
cana-4116	51	2	9	9	NUM
cana-4116	51	3	]	]	SYM
cana-4116	51	4	defined	define	VERB
cana-4116	51	5	entropy	entropy	NOUN
cana-4116	51	6	and	and	CCONJ
cana-4116	51	7	created	create	VERB
cana-4116	51	8	a	a	DET
cana-4116	51	9	number	number	NOUN
cana-4116	51	10	of	of	ADP
cana-4116	51	11	entropy	entropy	NOUN
cana-4116	51	12	measurements	measurement	NOUN
cana-4116	51	13	specifically	specifically	ADV
cana-4116	51	14	for	for	ADP
cana-4116	51	15	hfs	hfs	PROPN
cana-4116	51	16	.	.	PUNCT
cana-4116	52	1	zhao	zhao	PROPN
cana-4116	52	2	and	and	CCONJ
cana-4116	52	3	xu	xu	PROPN
cana-4116	53	1	[	[	X
cana-4116	53	2	17	17	NUM
cana-4116	53	3	]	]	PUNCT
cana-4116	53	4	defined	define	VERB
cana-4116	53	5	entropy	entropy	NOUN
cana-4116	53	6	measures	measure	NOUN
cana-4116	53	7	for	for	ADP
cana-4116	53	8	dhfss	dhfss	NOUN
cana-4116	53	9	.	.	PUNCT
cana-4116	54	1	several	several	ADJ
cana-4116	54	2	basic	basic	ADJ
cana-4116	54	3	distance	distance	NOUN
cana-4116	54	4	measures	measure	NOUN
cana-4116	54	5	for	for	ADP
cana-4116	54	6	dhfss	dhfss	NOUN
cana-4116	54	7	were	be	AUX
cana-4116	54	8	developed	develop	VERB
cana-4116	54	9	by	by	ADP
cana-4116	54	10	su	su	PROPN
cana-4116	54	11	et	et	PROPN
cana-4116	54	12	al	al	PROPN
cana-4116	54	13	.	.	PUNCT
cana-4116	55	1	[	[	X
cana-4116	55	2	18	18	NUM
cana-4116	55	3	]	]	PUNCT
cana-4116	55	4	and	and	CCONJ
cana-4116	55	5	applied	apply	VERB
cana-4116	55	6	to	to	ADP
cana-4116	55	7	pattern	pattern	NOUN
cana-4116	55	8	recognition	recognition	NOUN
cana-4116	55	9	.	.	PUNCT
cana-4116	56	1	ye	ye	PRON
cana-4116	57	1	[	[	X
cana-4116	57	2	19	19	NUM
cana-4116	57	3	]	]	PUNCT
cana-4116	57	4	introduced	introduce	VERB
cana-4116	57	5	cross	cross	NOUN
cana-4116	57	6	entropy	entropy	NOUN
cana-4116	57	7	of	of	ADP
cana-4116	57	8	dhfss	dhfss	NOUN
cana-4116	57	9	for	for	ADP
cana-4116	57	10	multi	multi	ADJ
cana-4116	57	11	attribute	attribute	NOUN
cana-4116	57	12	decision	decision	NOUN
cana-4116	57	13	making	making	NOUN
cana-4116	57	14	.	.	PUNCT
cana-4116	58	1	a	a	DET
cana-4116	58	2	new	new	ADJ
cana-4116	58	3	distance	distance	NOUN
cana-4116	58	4	measure	measure	NOUN
cana-4116	58	5	for	for	ADP
cana-4116	58	6	dhfss	dhfss	NOUN
cana-4116	58	7	is	be	AUX
cana-4116	58	8	introduced	introduce	VERB
cana-4116	58	9	by	by	ADP
cana-4116	58	10	wang	wang	PROPN
cana-4116	58	11	et.al	et.al	PROPN
cana-4116	58	12	.	.	PUNCT
cana-4116	59	1	[	[	X
cana-4116	59	2	20	20	NUM
cana-4116	59	3	]	]	PUNCT
cana-4116	59	4	and	and	CCONJ
cana-4116	59	5	applied	apply	VERB
cana-4116	59	6	on	on	ADP
cana-4116	59	7	madm	madm	NOUN
cana-4116	59	8	problem	problem	NOUN
cana-4116	59	9	.	.	PUNCT
cana-4116	60	1	later	later	ADV
cana-4116	60	2	on	on	ADV
cana-4116	60	3	,	,	PUNCT
cana-4116	60	4	zhang	zhang	PROPN
cana-4116	61	1	[	[	X
cana-4116	61	2	21	21	NUM
cana-4116	61	3	]	]	PUNCT
cana-4116	61	4	constructed	construct	VERB
cana-4116	61	5	distance	distance	NOUN
cana-4116	61	6	and	and	CCONJ
cana-4116	61	7	entropy	entropy	NOUN
cana-4116	61	8	measures	measure	NOUN
cana-4116	61	9	for	for	ADP
cana-4116	61	10	dhfss	dhfss	NOUN
cana-4116	61	11	.	.	PUNCT
cana-4116	62	1	a	a	DET
cana-4116	62	2	novel	novel	ADJ
cana-4116	62	3	knowledge	knowledge	NOUN
cana-4116	62	4	measure	measure	NOUN
cana-4116	62	5	was	be	AUX
cana-4116	62	6	presented	present	VERB
cana-4116	62	7	by	by	ADP
cana-4116	62	8	szmidt	szmidt	PROPN
cana-4116	62	9	et	et	PROPN
cana-4116	62	10	al	al	PROPN
cana-4116	62	11	.	.	PUNCT
cana-4116	63	1	[	[	X
cana-4116	63	2	22	22	NUM
cana-4116	63	3	]	]	PUNCT
cana-4116	63	4	for	for	ADP
cana-4116	63	5	ifss	ifss	NOUN
cana-4116	63	6	,	,	PUNCT
cana-4116	63	7	these	these	PRON
cana-4116	63	8	were	be	AUX
cana-4116	63	9	examined	examine	VERB
cana-4116	63	10	by	by	ADP
cana-4116	63	11	attanassov	attanassov	NOUN
cana-4116	63	12	.	.	PUNCT
cana-4116	64	1	recently	recently	ADV
cana-4116	64	2	,	,	PUNCT
cana-4116	64	3	a	a	DET
cana-4116	64	4	knowledge	knowledge	NOUN
cana-4116	64	5	measure	measure	NOUN
cana-4116	64	6	for	for	ADP
cana-4116	64	7	ifss	ifss	NOUN
cana-4116	64	8	was	be	AUX
cana-4116	64	9	proposed	propose	VERB
cana-4116	64	10	by	by	ADP
cana-4116	64	11	nguyen	nguyen	NOUN
cana-4116	65	1	[	[	X
cana-4116	65	2	23	23	NUM
cana-4116	65	3	]	]	PUNCT
cana-4116	65	4	.	.	PUNCT
cana-4116	66	1	joshi	joshi	PROPN
cana-4116	67	1	[	[	X
cana-4116	67	2	24	24	NUM
cana-4116	67	3	]	]	PUNCT
cana-4116	67	4	talked	talk	VERB
cana-4116	67	5	about	about	ADP
cana-4116	67	6	using	use	VERB
cana-4116	67	7	innovative	innovative	ADJ
cana-4116	67	8	fuzzy	fuzzy	ADJ
cana-4116	67	9	knowledge	knowledge	NOUN
cana-4116	67	10	measures	measure	NOUN
cana-4116	67	11	to	to	PART
cana-4116	67	12	support	support	VERB
cana-4116	67	13	mcdm	mcdm	ADJ
cana-4116	67	14	.	.	PUNCT
cana-4116	68	1	[	[	X
cana-4116	68	2	25	25	NUM
cana-4116	68	3	]	]	PUNCT
cana-4116	68	4	provide	provide	VERB
cana-4116	68	5	new	new	ADJ
cana-4116	68	6	information	information	NOUN
cana-4116	68	7	measure	measure	NOUN
cana-4116	68	8	for	for	ADP
cana-4116	68	9	hfss	hfss	NOUN
cana-4116	68	10	.	.	PUNCT
cana-4116	69	1	singh	singh	PROPN
cana-4116	69	2	and	and	CCONJ
cana-4116	69	3	kumar	kumar	PROPN
cana-4116	69	4	[	[	X
cana-4116	69	5	26	26	NUM
cana-4116	69	6	]	]	PUNCT
cana-4116	69	7	explained	explain	VERB
cana-4116	69	8	intuitionistic	intuitionistic	ADJ
cana-4116	69	9	fuzzy	fuzzy	ADJ
cana-4116	69	10	entropy	entropy	NOUN
cana-4116	69	11	based	base	VERB
cana-4116	69	12	on	on	ADP
cana-4116	69	13	knowledge	knowledge	NOUN
cana-4116	69	14	and	and	CCONJ
cana-4116	69	15	accuracy	accuracy	NOUN
cana-4116	69	16	measure	measure	NOUN
cana-4116	69	17	.	.	PUNCT
cana-4116	70	1	dual	dual	ADJ
cana-4116	70	2	-	-	PUNCT
cana-4116	70	3	hesitant	hesitant	ADJ
cana-4116	70	4	fuzzy	fuzzy	ADJ
cana-4116	70	5	sets	set	NOUN
cana-4116	70	6	are	be	AUX
cana-4116	70	7	the	the	DET
cana-4116	70	8	basis	basis	NOUN
cana-4116	70	9	for	for	ADP
cana-4116	70	10	singh	singh	PROPN
cana-4116	70	11	’s	’s	PART
cana-4116	70	12	[	[	X
cana-4116	70	13	27	27	NUM
cana-4116	70	14	]	]	X
cana-4116	70	15	knowledge	knowledge	NOUN
cana-4116	70	16	and	and	CCONJ
cana-4116	70	17	accuracy	accuracy	NOUN
cana-4116	70	18	measure	measure	NOUN
cana-4116	70	19	.	.	PUNCT
cana-4116	71	1	for	for	ADP
cana-4116	71	2	fuzzy	fuzzy	ADJ
cana-4116	71	3	sets	set	NOUN
cana-4116	71	4	,	,	PUNCT
cana-4116	71	5	the	the	DET
cana-4116	71	6	knowledge	knowledge	NOUN
cana-4116	71	7	measure	measure	NOUN
cana-4116	71	8	can	can	AUX
cana-4116	71	9	be	be	AUX
cana-4116	71	10	viewed	view	VERB
cana-4116	71	11	as	as	ADP
cana-4116	71	12	a	a	DET
cana-4116	71	13	counterpart	counterpart	ADJ
cana-4116	71	14	measure	measure	NOUN
cana-4116	71	15	of	of	ADP
cana-4116	71	16	entropy	entropy	PROPN
cana-4116	71	17	.	.	PUNCT
cana-4116	72	1	however	however	ADV
cana-4116	72	2	,	,	PUNCT
cana-4116	72	3	to	to	ADP
cana-4116	72	4	the	the	DET
cana-4116	72	5	best	good	ADJ
cana-4116	72	6	of	of	ADP
cana-4116	72	7	our	our	PRON
cana-4116	72	8	knowledge	knowledge	NOUN
cana-4116	72	9	,	,	PUNCT
cana-4116	72	10	not	not	PART
cana-4116	72	11	much	much	ADJ
cana-4116	72	12	study	study	NOUN
cana-4116	72	13	has	have	AUX
cana-4116	72	14	been	be	AUX
cana-4116	72	15	done	do	VERB
cana-4116	72	16	on	on	ADP
cana-4116	72	17	the	the	DET
cana-4116	72	18	dhfss	dhfss	ADJ
cana-4116	72	19	knowledge	knowledge	NOUN
cana-4116	72	20	measure	measure	NOUN
cana-4116	72	21	.	.	PUNCT
cana-4116	73	1	in	in	ADP
cana-4116	73	2	this	this	DET
cana-4116	73	3	manuscript	manuscript	NOUN
cana-4116	73	4	,	,	PUNCT
cana-4116	73	5	a	a	DET
cana-4116	73	6	new	new	ADJ
cana-4116	73	7	knowledge	knowledge	NOUN
cana-4116	73	8	and	and	CCONJ
cana-4116	73	9	accuracy	accuracy	NOUN
cana-4116	73	10	measure	measure	NOUN
cana-4116	73	11	is	be	AUX
cana-4116	73	12	proposed	propose	VERB
cana-4116	73	13	for	for	ADP
cana-4116	73	14	dhfss	dhfss	PROPN
cana-4116	73	15	.	.	PUNCT
cana-4116	74	1	with	with	ADP
cana-4116	74	2	the	the	DET
cana-4116	74	3	help	help	NOUN
cana-4116	74	4	of	of	ADP
cana-4116	74	5	entropy	entropy	NOUN
cana-4116	74	6	we	we	PRON
cana-4116	74	7	can	can	AUX
cana-4116	74	8	quantify	quantify	VERB
cana-4116	74	9	the	the	DET
cana-4116	74	10	randomness	randomness	NOUN
cana-4116	74	11	related	relate	VERB
cana-4116	74	12	to	to	ADP
cana-4116	74	13	any	any	DET
cana-4116	74	14	dhfss	dhfss	NOUN
cana-4116	74	15	,	,	PUNCT
cana-4116	74	16	whereas	whereas	SCONJ
cana-4116	74	17	the	the	DET
cana-4116	74	18	knowledge	knowledge	NOUN
cana-4116	74	19	passed	pass	VERB
cana-4116	74	20	by	by	ADP
cana-4116	74	21	any	any	DET
cana-4116	74	22	dhfss	dhfss	NOUN
cana-4116	74	23	is	be	AUX
cana-4116	74	24	quantified	quantify	VERB
cana-4116	74	25	by	by	ADP
cana-4116	74	26	knowledge	knowledge	NOUN
cana-4116	74	27	measure	measure	NOUN
cana-4116	74	28	.	.	PUNCT
cana-4116	75	1	for	for	ADP
cana-4116	75	2	fuzzy	fuzzy	ADJ
cana-4116	75	3	sets	set	NOUN
cana-4116	75	4	,	,	PUNCT
cana-4116	75	5	the	the	DET
cana-4116	75	6	knowledge	knowledge	NOUN
cana-4116	75	7	measure	measure	NOUN
cana-4116	75	8	can	can	AUX
cana-4116	75	9	be	be	AUX
cana-4116	75	10	viewed	view	VERB
cana-4116	75	11	as	as	ADP
cana-4116	75	12	a	a	DET
cana-4116	75	13	counterpart	counterpart	ADJ
cana-4116	75	14	measure	measure	NOUN
cana-4116	75	15	of	of	ADP
cana-4116	75	16	entropy	entropy	NOUN
cana-4116	75	17	.	.	PUNCT
cana-4116	76	1	the	the	DET
cana-4116	76	2	hesitant	hesitant	ADJ
cana-4116	76	3	fuzzy	fuzzy	ADJ
cana-4116	76	4	information	information	NOUN
cana-4116	76	5	relating	relate	VERB
cana-4116	76	6	to	to	ADP
cana-4116	76	7	each	each	DET
cana-4116	76	8	alternative	alternative	NOUN
cana-4116	76	9	was	be	AUX
cana-4116	76	10	aggregated	aggregate	VERB
cana-4116	76	11	using	use	VERB
cana-4116	76	12	the	the	DET
cana-4116	76	13	hesitant	hesitant	ADJ
cana-4116	76	14	fuzzy	fuzzy	ADJ
cana-4116	76	15	weighted	weight	VERB
cana-4116	76	16	averaging	average	VERB
cana-4116	76	17	operator	operator	NOUN
cana-4116	76	18	.	.	PUNCT
cana-4116	77	1	then	then	ADV
cana-4116	77	2	,	,	PUNCT
cana-4116	77	3	the	the	DET
cana-4116	77	4	alternatives	alternative	NOUN
cana-4116	77	5	were	be	AUX
cana-4116	77	6	ranked	rank	VERB
cana-4116	77	7	,	,	PUNCT
cana-4116	77	8	and	and	CCONJ
cana-4116	77	9	the	the	DET
cana-4116	77	10	most	most	ADV
cana-4116	77	11	desirable	desirable	ADJ
cana-4116	77	12	one	one	NUM
cana-4116	77	13	or	or	CCONJ
cana-4116	77	14	ones	one	NOUN
cana-4116	77	15	were	be	AUX
cana-4116	77	16	chosen	choose	VERB
cana-4116	77	17	based	base	VERB
cana-4116	77	18	on	on	ADP
cana-4116	77	19	the	the	DET
cana-4116	77	20	scoring	scoring	NOUN
cana-4116	77	21	function	function	NOUN
cana-4116	77	22	for	for	ADP
cana-4116	77	23	hesitant	hesitant	ADJ
cana-4116	77	24	fuzzy	fuzzy	ADJ
cana-4116	77	25	sets	set	NOUN
cana-4116	77	26	.	.	PUNCT
cana-4116	78	1	the	the	DET
cana-4116	78	2	hfss	hfss	PROPN
cana-4116	78	3	hypothesis	hypothesis	NOUN
cana-4116	78	4	and	and	CCONJ
cana-4116	78	5	methodology	methodology	NOUN
cana-4116	78	6	are	be	AUX
cana-4116	78	7	widely	widely	ADV
cana-4116	78	8	applied	apply	VERB
cana-4116	78	9	in	in	ADP
cana-4116	78	10	madm	madm	NOUN
cana-4116	78	11	.	.	PUNCT
cana-4116	79	1	in	in	ADP
cana-4116	79	2	this	this	DET
cana-4116	79	3	manuscript	manuscript	NOUN
cana-4116	79	4	,	,	PUNCT
cana-4116	79	5	we	we	PRON
cana-4116	79	6	solve	solve	VERB
cana-4116	79	7	madm	madm	NOUN
cana-4116	79	8	problem	problem	NOUN
cana-4116	79	9	in	in	ADP
cana-4116	79	10	dhf	dhf	NOUN
cana-4116	79	11	environment	environment	NOUN
cana-4116	79	12	with	with	ADP
cana-4116	79	13	the	the	DET
cana-4116	79	14	help	help	NOUN
cana-4116	79	15	of	of	ADP
cana-4116	79	16	new	new	ADJ
cana-4116	79	17	knowledge	knowledge	NOUN
cana-4116	79	18	measure	measure	NOUN
cana-4116	79	19	.	.	PUNCT
cana-4116	80	1	the	the	DET
cana-4116	80	2	madm	madm	NOUN
cana-4116	80	3	problem	problem	NOUN
cana-4116	80	4	is	be	AUX
cana-4116	80	5	described	describe	VERB
cana-4116	80	6	as	as	ADP
cana-4116	80	7	choosing	choose	VERB
cana-4116	80	8	the	the	DET
cana-4116	80	9	right	right	ADJ
cana-4116	80	10	alternative	alternative	NOUN
cana-4116	80	11	from	from	ADP
cana-4116	80	12	the	the	DET
cana-4116	80	13	given	give	VERB
cana-4116	80	14	alternative(s	alternative(s	NOUN
cana-4116	80	15	)	)	PUNCT
cana-4116	80	16	in	in	ADP
cana-4116	80	17	order	order	NOUN
cana-4116	80	18	to	to	PART
cana-4116	80	19	accomplish	accomplish	VERB
cana-4116	80	20	a	a	DET
cana-4116	80	21	goal	goal	NOUN
cana-4116	80	22	.	.	PUNCT
cana-4116	81	1	every	every	DET
cana-4116	81	2	option	option	NOUN
cana-4116	81	3	has	have	VERB
cana-4116	81	4	a	a	DET
cana-4116	81	5	set	set	NOUN
cana-4116	81	6	of	of	ADP
cana-4116	81	7	requirements	requirement	NOUN
cana-4116	81	8	.	.	PUNCT
cana-4116	82	1	making	make	VERB
cana-4116	82	2	decisions	decision	NOUN
cana-4116	82	3	in	in	ADP
cana-4116	82	4	a	a	DET
cana-4116	82	5	scenario	scenario	NOUN
cana-4116	82	6	with	with	SCONJ
cana-4116	82	7	several	several	ADJ
cana-4116	82	8	communications	communication	NOUN
cana-4116	82	9	on	on	ADP
cana-4116	82	10	applied	apply	VERB
cana-4116	82	11	nonlinear	nonlinear	ADJ
cana-4116	82	12	analysis	analysis	NOUN
cana-4116	82	13	issn	issn	NOUN
cana-4116	82	14	:	:	PUNCT
cana-4116	82	15	1074	1074	NUM
cana-4116	82	16	-	-	PUNCT
cana-4116	82	17	133x	133x	NUM
cana-4116	82	18	vol	vol	NOUN
cana-4116	82	19	32	32	NUM
cana-4116	82	20	no	no	NOUN
cana-4116	82	21	.	.	PUNCT
cana-4116	83	1	9s	9s	NUM
cana-4116	83	2	(	(	PUNCT
cana-4116	83	3	2025	2025	NUM
cana-4116	83	4	)	)	PUNCT
cana-4116	83	5	1091	1091	NUM
cana-4116	84	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	84	2	homogeneous	homogeneous	ADJ
cana-4116	84	3	options	option	NOUN
cana-4116	84	4	and	and	CCONJ
cana-4116	84	5	determining	determine	VERB
cana-4116	84	6	the	the	DET
cana-4116	84	7	best	good	ADJ
cana-4116	84	8	ones	one	NOUN
cana-4116	84	9	are	be	AUX
cana-4116	84	10	part	part	NOUN
cana-4116	84	11	of	of	ADP
cana-4116	84	12	the	the	DET
cana-4116	84	13	madm	madm	NOUN
cana-4116	84	14	process	process	NOUN
cana-4116	84	15	.	.	PUNCT
cana-4116	85	1	while	while	SCONJ
cana-4116	85	2	we	we	PRON
cana-4116	85	3	’re	’re	AUX
cana-4116	85	4	making	make	VERB
cana-4116	85	5	decisions	decision	NOUN
cana-4116	85	6	,	,	PUNCT
cana-4116	85	7	attribute	attribute	NOUN
cana-4116	85	8	weighting	weighting	NOUN
cana-4116	85	9	is	be	AUX
cana-4116	85	10	quite	quite	ADV
cana-4116	85	11	important	important	ADJ
cana-4116	85	12	.	.	PUNCT
cana-4116	86	1	the	the	DET
cana-4116	86	2	madm	madm	PROPN
cana-4116	86	3	theory	theory	NOUN
cana-4116	86	4	and	and	CCONJ
cana-4116	86	5	mechanism	mechanism	NOUN
cana-4116	86	6	have	have	AUX
cana-4116	86	7	been	be	AUX
cana-4116	86	8	applied	apply	VERB
cana-4116	86	9	recently	recently	ADV
cana-4116	86	10	to	to	ADP
cana-4116	86	11	modern	modern	ADJ
cana-4116	86	12	decision	decision	NOUN
cana-4116	86	13	science	science	NOUN
cana-4116	86	14	and	and	CCONJ
cana-4116	86	15	management	management	NOUN
cana-4116	86	16	science	science	NOUN
cana-4116	86	17	.	.	PUNCT
cana-4116	87	1	madm	madm	PROPN
cana-4116	87	2	issues	issue	NOUN
cana-4116	87	3	have	have	AUX
cana-4116	87	4	been	be	AUX
cana-4116	87	5	discussed	discuss	VERB
cana-4116	87	6	by	by	ADP
cana-4116	87	7	bajaj	bajaj	PROPN
cana-4116	87	8	and	and	CCONJ
cana-4116	87	9	kumar	kumar	PROPN
cana-4116	88	1	[	[	X
cana-4116	88	2	28	28	NUM
cana-4116	88	3	]	]	PUNCT
cana-4116	88	4	using	use	VERB
cana-4116	88	5	the	the	DET
cana-4116	88	6	pythagorean	pythagorean	PROPN
cana-4116	88	7	fuzzy	fuzzy	ADJ
cana-4116	88	8	intuitive	intuitive	ADJ
cana-4116	88	9	distance	distance	NOUN
cana-4116	88	10	measure	measure	NOUN
cana-4116	88	11	.	.	PUNCT
cana-4116	89	1	as	as	ADP
cana-4116	89	2	a	a	DET
cana-4116	89	3	result	result	NOUN
cana-4116	89	4	,	,	PUNCT
cana-4116	89	5	numerous	numerous	ADJ
cana-4116	89	6	decision	decision	NOUN
cana-4116	89	7	-	-	PUNCT
cana-4116	89	8	making	make	VERB
cana-4116	89	9	strategies	strategy	NOUN
cana-4116	89	10	based	base	VERB
cana-4116	89	11	on	on	ADP
cana-4116	89	12	real	real	ADJ
cana-4116	89	13	-	-	PUNCT
cana-4116	89	14	world	world	NOUN
cana-4116	89	15	issues	issue	NOUN
cana-4116	89	16	were	be	AUX
cana-4116	89	17	suggested	suggest	VERB
cana-4116	89	18	.	.	PUNCT
cana-4116	90	1	popular	popular	ADJ
cana-4116	90	2	methods	method	NOUN
cana-4116	90	3	for	for	ADP
cana-4116	90	4	approaching	approach	VERB
cana-4116	90	5	madm	madm	NOUN
cana-4116	90	6	are	be	AUX
cana-4116	90	7	topsis	topsis	NOUN
cana-4116	90	8	,	,	PUNCT
cana-4116	90	9	vikor	vikor	ADJ
cana-4116	90	10	and	and	CCONJ
cana-4116	90	11	electre	electre	ADJ
cana-4116	90	12	.	.	PUNCT
cana-4116	91	1	these	these	DET
cana-4116	91	2	techniques	technique	NOUN
cana-4116	91	3	typically	typically	ADV
cana-4116	91	4	combine	combine	VERB
cana-4116	91	5	nearoptimal	nearoptimal	ADJ
cana-4116	91	6	alternatives	alternative	NOUN
cana-4116	91	7	with	with	ADP
cana-4116	91	8	dhfss	dhfss	NOUN
cana-4116	91	9	to	to	PART
cana-4116	91	10	get	get	VERB
cana-4116	91	11	a	a	DET
cana-4116	91	12	better	well	ADJ
cana-4116	91	13	option	option	NOUN
cana-4116	91	14	.	.	PUNCT
cana-4116	92	1	while	while	SCONJ
cana-4116	92	2	selecting	select	VERB
cana-4116	92	3	the	the	DET
cana-4116	92	4	best	good	ADJ
cana-4116	92	5	alternative	alternative	NOUN
cana-4116	92	6	,	,	PUNCT
cana-4116	92	7	different	different	ADJ
cana-4116	92	8	decision	decision	NOUN
cana-4116	92	9	makers	maker	NOUN
cana-4116	92	10	have	have	VERB
cana-4116	92	11	different	different	ADJ
cana-4116	92	12	priorities	priority	NOUN
cana-4116	92	13	based	base	VERB
cana-4116	92	14	on	on	ADP
cana-4116	92	15	how	how	SCONJ
cana-4116	92	16	much	much	ADJ
cana-4116	92	17	risk	risk	NOUN
cana-4116	92	18	they	they	PRON
cana-4116	92	19	are	be	AUX
cana-4116	92	20	willing	willing	ADJ
cana-4116	92	21	to	to	PART
cana-4116	92	22	take	take	VERB
cana-4116	92	23	.	.	PUNCT
cana-4116	93	1	a	a	DET
cana-4116	93	2	new	new	ADJ
cana-4116	93	3	mode	mode	NOUN
cana-4116	93	4	that	that	PRON
cana-4116	93	5	combines	combine	VERB
cana-4116	93	6	topsis	topsis	NOUN
cana-4116	93	7	method	method	NOUN
cana-4116	93	8	of	of	ADP
cana-4116	93	9	madm	madm	NOUN
cana-4116	93	10	has	have	AUX
cana-4116	93	11	been	be	AUX
cana-4116	93	12	used	use	VERB
cana-4116	93	13	in	in	ADP
cana-4116	93	14	this	this	DET
cana-4116	93	15	knowledge	knowledge	NOUN
cana-4116	93	16	and	and	CCONJ
cana-4116	93	17	accuracy	accuracy	NOUN
cana-4116	93	18	based	base	VERB
cana-4116	93	19	paper	paper	NOUN
cana-4116	93	20	,	,	PUNCT
cana-4116	93	21	that	that	PRON
cana-4116	93	22	takes	take	VERB
cana-4116	93	23	into	into	ADP
cana-4116	93	24	account	account	NOUN
cana-4116	93	25	people	people	NOUN
cana-4116	93	26	’s	’s	PART
cana-4116	93	27	risk	risk	NOUN
cana-4116	93	28	priorities	priority	NOUN
cana-4116	93	29	.	.	PUNCT
cana-4116	94	1	using	use	VERB
cana-4116	94	2	an	an	DET
cana-4116	94	3	exact	exact	ADJ
cana-4116	94	4	measure	measure	NOUN
cana-4116	94	5	of	of	ADP
cana-4116	94	6	"	"	PUNCT
cana-4116	94	7	closeness	closeness	NOUN
cana-4116	94	8	"	"	PUNCT
cana-4116	94	9	to	to	ADP
cana-4116	94	10	the	the	DET
cana-4116	94	11	positive	positive	ADJ
cana-4116	94	12	ideal	ideal	ADJ
cana-4116	94	13	solution	solution	NOUN
cana-4116	94	14	,	,	PUNCT
cana-4116	94	15	this	this	DET
cana-4116	94	16	method	method	NOUN
cana-4116	94	17	determines	determine	VERB
cana-4116	94	18	which	which	DET
cana-4116	94	19	alternative	alternative	NOUN
cana-4116	94	20	is	be	AUX
cana-4116	94	21	optimal	optimal	ADJ
cana-4116	94	22	.	.	PUNCT
cana-4116	95	1	the	the	DET
cana-4116	95	2	proposed	propose	VERB
cana-4116	95	3	knowledge	knowledge	NOUN
cana-4116	95	4	measure	measure	NOUN
cana-4116	95	5	is	be	AUX
cana-4116	95	6	effectively	effectively	ADV
cana-4116	95	7	applicable	applicable	ADJ
cana-4116	95	8	to	to	PART
cana-4116	95	9	solve	solve	VERB
cana-4116	95	10	madm	madm	NOUN
cana-4116	95	11	problems	problem	NOUN
cana-4116	95	12	where	where	SCONJ
cana-4116	95	13	the	the	DET
cana-4116	95	14	attribute	attribute	NOUN
cana-4116	95	15	weights	weight	NOUN
cana-4116	95	16	are	be	AUX
cana-4116	95	17	completely	completely	ADV
cana-4116	95	18	unknown.the	unknown.the	DET
cana-4116	95	19	intended	intend	VERB
cana-4116	95	20	effort	effort	NOUN
cana-4116	95	21	is	be	AUX
cana-4116	95	22	motivated	motivate	VERB
cana-4116	95	23	by	by	ADP
cana-4116	95	24	the	the	DET
cana-4116	95	25	following	follow	VERB
cana-4116	95	26	factors	factor	NOUN
cana-4116	95	27	:	:	PUNCT
cana-4116	95	28	researchers	researcher	NOUN
cana-4116	95	29	have	have	AUX
cana-4116	95	30	recently	recently	ADV
cana-4116	95	31	created	create	VERB
cana-4116	95	32	a	a	DET
cana-4116	95	33	variety	variety	NOUN
cana-4116	95	34	of	of	ADP
cana-4116	95	35	distance	distance	NOUN
cana-4116	95	36	metrics	metric	NOUN
cana-4116	95	37	.	.	PUNCT
cana-4116	96	1	the	the	DET
cana-4116	96	2	concepts	concept	NOUN
cana-4116	96	3	and	and	CCONJ
cana-4116	96	4	importance	importance	NOUN
cana-4116	96	5	of	of	ADP
cana-4116	96	6	it	it	PRON
cana-4116	96	7	demonstrate	demonstrate	VERB
cana-4116	96	8	how	how	SCONJ
cana-4116	96	9	divergent	divergent	ADJ
cana-4116	96	10	these	these	DET
cana-4116	96	11	measures	measure	NOUN
cana-4116	96	12	are	be	AUX
cana-4116	96	13	.	.	PUNCT
cana-4116	97	1	furthermore	furthermore	ADV
cana-4116	97	2	,	,	PUNCT
cana-4116	97	3	most	most	ADJ
cana-4116	97	4	applications	application	NOUN
cana-4116	97	5	have	have	AUX
cana-4116	97	6	not	not	PART
cana-4116	97	7	produced	produce	VERB
cana-4116	97	8	consistent	consistent	ADJ
cana-4116	97	9	and	and	CCONJ
cana-4116	97	10	dependable	dependable	ADJ
cana-4116	97	11	findings	finding	NOUN
cana-4116	97	12	from	from	ADP
cana-4116	97	13	several	several	ADJ
cana-4116	97	14	measures	measure	NOUN
cana-4116	97	15	.	.	PUNCT
cana-4116	98	1	in	in	ADP
cana-4116	98	2	order	order	NOUN
cana-4116	98	3	to	to	PART
cana-4116	98	4	address	address	VERB
cana-4116	98	5	these	these	DET
cana-4116	98	6	issues	issue	NOUN
cana-4116	98	7	,	,	PUNCT
cana-4116	98	8	we	we	PRON
cana-4116	98	9	present	present	VERB
cana-4116	98	10	a	a	DET
cana-4116	98	11	novel	novel	ADJ
cana-4116	98	12	solution	solution	NOUN
cana-4116	98	13	to	to	PART
cana-4116	98	14	dhf	dhf	VERB
cana-4116	98	15	entropy	entropy	NOUN
cana-4116	98	16	,	,	PUNCT
cana-4116	98	17	which	which	PRON
cana-4116	98	18	we	we	PRON
cana-4116	98	19	refer	refer	VERB
cana-4116	98	20	to	to	ADP
cana-4116	98	21	as	as	SCONJ
cana-4116	98	22	dhf	dhf	VERB
cana-4116	98	23	knowledge	knowledge	NOUN
cana-4116	98	24	measure	measure	NOUN
cana-4116	98	25	.	.	PUNCT
cana-4116	99	1	moreover	moreover	ADV
cana-4116	99	2	,	,	PUNCT
cana-4116	99	3	a	a	DET
cana-4116	99	4	situation	situation	NOUN
cana-4116	99	5	is	be	AUX
cana-4116	99	6	deemed	deem	VERB
cana-4116	99	7	paradoxical	paradoxical	ADJ
cana-4116	99	8	if	if	SCONJ
cana-4116	99	9	a	a	DET
cana-4116	99	10	comparison	comparison	NOUN
cana-4116	99	11	measure	measure	NOUN
cana-4116	99	12	—	—	PUNCT
cana-4116	99	13	such	such	ADJ
cana-4116	99	14	as	as	ADP
cana-4116	99	15	distance	distance	NOUN
cana-4116	99	16	,	,	PUNCT
cana-4116	99	17	divergence	divergence	NOUN
cana-4116	99	18	,	,	PUNCT
cana-4116	99	19	similarity	similarity	NOUN
cana-4116	99	20	,	,	PUNCT
cana-4116	99	21	etc	etc	X
cana-4116	99	22	.	.	X
cana-4116	100	1	it	it	PRON
cana-4116	100	2	is	be	AUX
cana-4116	100	3	unable	unable	ADJ
cana-4116	100	4	to	to	PART
cana-4116	100	5	distinguish	distinguish	VERB
cana-4116	100	6	between	between	ADP
cana-4116	100	7	two	two	NUM
cana-4116	100	8	dhfss	dhfss	NOUN
cana-4116	100	9	that	that	PRON
cana-4116	100	10	appear	appear	VERB
cana-4116	100	11	to	to	PART
cana-4116	100	12	be	be	AUX
cana-4116	100	13	distinct	distinct	ADJ
cana-4116	100	14	from	from	ADP
cana-4116	100	15	one	one	NUM
cana-4116	100	16	another	another	DET
cana-4116	100	17	.	.	PUNCT
cana-4116	101	1	false	false	ADJ
cana-4116	101	2	classification	classification	NOUN
cana-4116	101	3	results	result	NOUN
cana-4116	101	4	can	can	AUX
cana-4116	101	5	occur	occur	VERB
cana-4116	101	6	under	under	ADP
cana-4116	101	7	unreasonable	unreasonable	ADJ
cana-4116	101	8	settings	setting	NOUN
cana-4116	101	9	,	,	PUNCT
cana-4116	101	10	such	such	ADJ
cana-4116	101	11	as	as	ADP
cana-4116	101	12	when	when	SCONJ
cana-4116	101	13	two	two	NUM
cana-4116	101	14	or	or	CCONJ
cana-4116	101	15	more	more	ADV
cana-4116	101	16	separate	separate	ADJ
cana-4116	101	17	datasets	dataset	NOUN
cana-4116	101	18	can	can	AUX
cana-4116	101	19	not	not	PART
cana-4116	101	20	be	be	AUX
cana-4116	101	21	distinguished	distinguish	VERB
cana-4116	101	22	from	from	ADP
cana-4116	101	23	one	one	NUM
cana-4116	101	24	another	another	DET
cana-4116	101	25	.	.	PUNCT
cana-4116	102	1	therefore	therefore	ADV
cana-4116	102	2	,	,	PUNCT
cana-4116	102	3	we	we	PRON
cana-4116	102	4	require	require	VERB
cana-4116	102	5	an	an	DET
cana-4116	102	6	ideal	ideal	ADJ
cana-4116	102	7	set	set	NOUN
cana-4116	102	8	of	of	ADP
cana-4116	102	9	metrics	metric	NOUN
cana-4116	102	10	that	that	PRON
cana-4116	102	11	minimizes	minimize	VERB
cana-4116	102	12	the	the	DET
cana-4116	102	13	drawbacks	drawback	NOUN
cana-4116	102	14	of	of	ADP
cana-4116	102	15	the	the	DET
cana-4116	102	16	current	current	ADJ
cana-4116	102	17	metrics	metric	NOUN
cana-4116	102	18	and	and	CCONJ
cana-4116	102	19	produces	produce	VERB
cana-4116	102	20	more	more	ADV
cana-4116	102	21	precise	precise	ADJ
cana-4116	102	22	and	and	CCONJ
cana-4116	102	23	categorical	categorical	ADJ
cana-4116	102	24	answers	answer	NOUN
cana-4116	102	25	in	in	ADP
cana-4116	102	26	order	order	NOUN
cana-4116	102	27	to	to	PART
cana-4116	102	28	address	address	VERB
cana-4116	102	29	pattern	pattern	NOUN
cana-4116	102	30	recognition	recognition	NOUN
cana-4116	102	31	concerns	concern	NOUN
cana-4116	102	32	.	.	PUNCT
cana-4116	103	1	this	this	PRON
cana-4116	103	2	led	lead	VERB
cana-4116	103	3	us	we	PRON
cana-4116	103	4	to	to	PART
cana-4116	103	5	develop	develop	VERB
cana-4116	103	6	a	a	DET
cana-4116	103	7	different	different	ADJ
cana-4116	103	8	type	type	NOUN
cana-4116	103	9	of	of	ADP
cana-4116	103	10	comparison	comparison	NOUN
cana-4116	103	11	measure	measure	NOUN
cana-4116	103	12	for	for	ADP
cana-4116	103	13	dhfss	dhfss	NOUN
cana-4116	103	14	,	,	PUNCT
cana-4116	103	15	which	which	PRON
cana-4116	103	16	we	we	PRON
cana-4116	103	17	call	call	VERB
cana-4116	103	18	the	the	DET
cana-4116	103	19	dual	dual	ADJ
cana-4116	103	20	hesitant	hesitant	ADJ
cana-4116	103	21	accuracy	accuracy	NOUN
cana-4116	103	22	measure.the	measure.the	DET
cana-4116	103	23	paper	paper	NOUN
cana-4116	103	24	’s	’s	PART
cana-4116	103	25	primary	primary	ADJ
cana-4116	103	26	contribution	contribution	NOUN
cana-4116	103	27	can	can	AUX
cana-4116	103	28	be	be	AUX
cana-4116	103	29	summed	sum	VERB
cana-4116	103	30	up	up	ADP
cana-4116	103	31	as	as	SCONJ
cana-4116	103	32	follows	follow	VERB
cana-4116	103	33	.	.	PUNCT
cana-4116	104	1	we	we	PRON
cana-4116	104	2	suggest	suggest	AUX
cana-4116	104	3	utilizing	utilize	VERB
cana-4116	104	4	dual	dual	ADJ
cana-4116	104	5	-	-	PUNCT
cana-4116	104	6	hesitant	hesitant	ADJ
cana-4116	104	7	fuzzy	fuzzy	ADJ
cana-4116	104	8	sets	set	NOUN
cana-4116	104	9	as	as	ADP
cana-4116	104	10	the	the	DET
cana-4116	104	11	foundation	foundation	NOUN
cana-4116	104	12	for	for	ADP
cana-4116	104	13	a	a	DET
cana-4116	104	14	knowledge	knowledge	NOUN
cana-4116	104	15	and	and	CCONJ
cana-4116	104	16	accuracy	accuracy	NOUN
cana-4116	104	17	metric	metric	NOUN
cana-4116	104	18	.	.	PUNCT
cana-4116	105	1	we	we	PRON
cana-4116	105	2	show	show	VERB
cana-4116	105	3	that	that	SCONJ
cana-4116	105	4	the	the	DET
cana-4116	105	5	proposed	propose	VERB
cana-4116	105	6	dhf	dhf	NOUN
cana-4116	105	7	knowledge	knowledge	NOUN
cana-4116	105	8	measure	measure	NOUN
cana-4116	105	9	is	be	AUX
cana-4116	105	10	beneficial	beneficial	ADJ
cana-4116	105	11	in	in	ADP
cana-4116	105	12	the	the	DET
cana-4116	105	13	calculation	calculation	NOUN
cana-4116	105	14	problem	problem	NOUN
cana-4116	105	15	for	for	ADP
cana-4116	105	16	attribute	attribute	NOUN
cana-4116	105	17	weight	weight	NOUN
cana-4116	105	18	.	.	PUNCT
cana-4116	106	1	additionally	additionally	ADV
cana-4116	106	2	,	,	PUNCT
cana-4116	106	3	we	we	PRON
cana-4116	106	4	compare	compare	VERB
cana-4116	106	5	how	how	SCONJ
cana-4116	106	6	well	well	ADV
cana-4116	106	7	the	the	DET
cana-4116	106	8	suggested	suggest	VERB
cana-4116	106	9	measures	measure	NOUN
cana-4116	106	10	work	work	VERB
cana-4116	106	11	in	in	ADP
cana-4116	106	12	a	a	DET
cana-4116	106	13	madm	madm	NOUN
cana-4116	106	14	situation	situation	NOUN
cana-4116	106	15	.	.	PUNCT
cana-4116	107	1	using	use	VERB
cana-4116	107	2	the	the	DET
cana-4116	107	3	suggested	suggest	VERB
cana-4116	107	4	dual	dual	ADJ
cana-4116	107	5	-	-	PUNCT
cana-4116	107	6	hesitant	hesitant	ADJ
cana-4116	107	7	accuracy	accuracy	NOUN
cana-4116	107	8	measure	measure	NOUN
cana-4116	107	9	,	,	PUNCT
cana-4116	107	10	we	we	PRON
cana-4116	107	11	examine	examine	VERB
cana-4116	107	12	the	the	DET
cana-4116	107	13	numerical	numerical	ADJ
cana-4116	107	14	analysis	analysis	NOUN
cana-4116	107	15	of	of	ADP
cana-4116	107	16	a	a	DET
cana-4116	107	17	few	few	ADJ
cana-4116	107	18	pattern	pattern	NOUN
cana-4116	107	19	recognition	recognition	NOUN
cana-4116	107	20	issues	issue	NOUN
cana-4116	107	21	and	and	CCONJ
cana-4116	107	22	compare	compare	VERB
cana-4116	107	23	the	the	DET
cana-4116	107	24	results	result	NOUN
cana-4116	107	25	with	with	ADP
cana-4116	107	26	certain	certain	ADJ
cana-4116	107	27	traditional	traditional	ADJ
cana-4116	107	28	comparison	comparison	NOUN
cana-4116	107	29	measures	measure	NOUN
cana-4116	107	30	within	within	ADP
cana-4116	107	31	the	the	DET
cana-4116	107	32	dual	dual	ADJ
cana-4116	107	33	-	-	PUNCT
cana-4116	107	34	hesitant	hesitant	ADJ
cana-4116	107	35	structure	structure	NOUN
cana-4116	107	36	.	.	PUNCT
cana-4116	108	1	the	the	DET
cana-4116	108	2	paper	paper	NOUN
cana-4116	108	3	is	be	AUX
cana-4116	108	4	organized	organize	VERB
cana-4116	108	5	as	as	SCONJ
cana-4116	108	6	follows	follow	VERB
cana-4116	108	7	,	,	PUNCT
cana-4116	108	8	firstly	firstly	ADV
cana-4116	108	9	it	it	PRON
cana-4116	108	10	provides	provide	VERB
cana-4116	108	11	an	an	DET
cana-4116	108	12	overview	overview	NOUN
cana-4116	108	13	of	of	ADP
cana-4116	108	14	the	the	DET
cana-4116	108	15	hfss	hfss	NOUN
cana-4116	108	16	,	,	PUNCT
cana-4116	108	17	secondly	secondly	ADV
cana-4116	108	18	,	,	PUNCT
cana-4116	108	19	contains	contain	VERB
cana-4116	108	20	the	the	DET
cana-4116	108	21	definitions	definition	NOUN
cana-4116	108	22	and	and	CCONJ
cana-4116	108	23	fundamental	fundamental	ADJ
cana-4116	108	24	ideas	idea	NOUN
cana-4116	108	25	of	of	ADP
cana-4116	108	26	dhfss	dhfss	NOUN
cana-4116	108	27	.	.	PUNCT
cana-4116	109	1	after	after	ADP
cana-4116	109	2	that	that	PRON
cana-4116	109	3	it	it	PRON
cana-4116	109	4	presents	present	VERB
cana-4116	109	5	a	a	DET
cana-4116	109	6	proposed	propose	VERB
cana-4116	109	7	dhf	dhf	NOUN
cana-4116	109	8	knowledge	knowledge	NOUN
cana-4116	109	9	measure	measure	NOUN
cana-4116	109	10	.	.	PUNCT
cana-4116	110	1	the	the	DET
cana-4116	110	2	validity	validity	NOUN
cana-4116	110	3	of	of	ADP
cana-4116	110	4	the	the	DET
cana-4116	110	5	proposed	propose	VERB
cana-4116	110	6	measure	measure	NOUN
cana-4116	110	7	is	be	AUX
cana-4116	110	8	verified	verify	VERB
cana-4116	110	9	by	by	ADP
cana-4116	110	10	comparing	compare	VERB
cana-4116	110	11	its	its	PRON
cana-4116	110	12	outcome	outcome	NOUN
cana-4116	110	13	with	with	ADP
cana-4116	110	14	many	many	ADJ
cana-4116	110	15	existing	exist	VERB
cana-4116	110	16	measures	measure	NOUN
cana-4116	110	17	.	.	PUNCT
cana-4116	111	1	in	in	ADP
cana-4116	111	2	addition	addition	NOUN
cana-4116	111	3	,	,	PUNCT
cana-4116	111	4	a	a	DET
cana-4116	111	5	dhf	dhf	NOUN
cana-4116	111	6	accuracy	accuracy	NOUN
cana-4116	111	7	measure	measure	NOUN
cana-4116	111	8	has	have	VERB
cana-4116	111	9	generalization	generalization	NOUN
cana-4116	111	10	of	of	ADP
cana-4116	111	11	the	the	DET
cana-4116	111	12	dhf	dhf	NOUN
cana-4116	111	13	knowledge	knowledge	NOUN
cana-4116	111	14	measure	measure	NOUN
cana-4116	111	15	is	be	AUX
cana-4116	111	16	presented	present	VERB
cana-4116	111	17	in	in	ADP
cana-4116	111	18	this	this	DET
cana-4116	111	19	section	section	NOUN
cana-4116	111	20	.	.	PUNCT
cana-4116	112	1	next	next	ADJ
cana-4116	112	2	,	,	PUNCT
cana-4116	112	3	topsis	topsis	NOUN
cana-4116	112	4	method	method	NOUN
cana-4116	112	5	of	of	ADP
cana-4116	112	6	madm	madm	NOUN
cana-4116	112	7	is	be	AUX
cana-4116	112	8	used	use	VERB
cana-4116	112	9	in	in	ADP
cana-4116	112	10	decisionmaking	decisionmake	VERB
cana-4116	112	11	process	process	NOUN
cana-4116	112	12	based	base	VERB
cana-4116	112	13	on	on	ADP
cana-4116	112	14	the	the	DET
cana-4116	112	15	suggested	suggest	VERB
cana-4116	112	16	knowledge	knowledge	NOUN
cana-4116	112	17	measure	measure	NOUN
cana-4116	112	18	.	.	PUNCT
cana-4116	113	1	it	it	PRON
cana-4116	113	2	presents	present	VERB
cana-4116	113	3	a	a	DET
cana-4116	113	4	real	real	ADJ
cana-4116	113	5	-	-	PUNCT
cana-4116	113	6	world	world	NOUN
cana-4116	113	7	example	example	NOUN
cana-4116	113	8	to	to	PART
cana-4116	113	9	demonstrate	demonstrate	VERB
cana-4116	113	10	the	the	DET
cana-4116	113	11	suitability	suitability	NOUN
cana-4116	113	12	of	of	ADP
cana-4116	113	13	this	this	DET
cana-4116	113	14	innovative	innovative	ADJ
cana-4116	113	15	approach	approach	NOUN
cana-4116	113	16	to	to	ADP
cana-4116	113	17	decision	decision	NOUN
cana-4116	113	18	-	-	PUNCT
cana-4116	113	19	making	making	NOUN
cana-4116	113	20	.	.	PUNCT
cana-4116	114	1	the	the	DET
cana-4116	114	2	use	use	NOUN
cana-4116	114	3	of	of	ADP
cana-4116	114	4	pattern	pattern	NOUN
cana-4116	114	5	detection	detection	NOUN
cana-4116	114	6	is	be	AUX
cana-4116	114	7	provided	provide	VERB
cana-4116	114	8	in	in	ADP
cana-4116	114	9	to	to	PART
cana-4116	114	10	evaluate	evaluate	VERB
cana-4116	114	11	the	the	DET
cana-4116	114	12	suggested	suggest	VERB
cana-4116	114	13	accuracy	accuracy	NOUN
cana-4116	114	14	measure	measure	NOUN
cana-4116	114	15	’s	’s	PART
cana-4116	114	16	performance	performance	NOUN
cana-4116	114	17	with	with	ADP
cana-4116	114	18	that	that	PRON
cana-4116	114	19	of	of	ADP
cana-4116	114	20	some	some	DET
cana-4116	114	21	other	other	ADJ
cana-4116	114	22	measures	measure	NOUN
cana-4116	114	23	.	.	PUNCT
cana-4116	115	1	finally	finally	ADV
cana-4116	115	2	settles	settle	VERB
cana-4116	115	3	the	the	DET
cana-4116	115	4	conclusion	conclusion	NOUN
cana-4116	115	5	.	.	PUNCT
cana-4116	116	1	2	2	NUM
cana-4116	116	2	preliminaries	preliminary	NOUN
cana-4116	116	3	in	in	ADP
cana-4116	116	4	this	this	DET
cana-4116	116	5	section	section	NOUN
cana-4116	116	6	,	,	PUNCT
cana-4116	116	7	we	we	PRON
cana-4116	116	8	present	present	VERB
cana-4116	116	9	numerous	numerous	ADJ
cana-4116	116	10	examples	example	NOUN
cana-4116	116	11	of	of	ADP
cana-4116	116	12	entropy	entropy	NOUN
cana-4116	116	13	and	and	CCONJ
cana-4116	116	14	distance	distance	NOUN
cana-4116	116	15	measurements	measurement	NOUN
cana-4116	116	16	for	for	ADP
cana-4116	116	17	dhfss	dhfss	NOUN
cana-4116	116	18	along	along	ADV
cana-4116	116	19	with	with	ADP
cana-4116	116	20	standard	standard	ADJ
cana-4116	116	21	definitions	definition	NOUN
cana-4116	116	22	.	.	PUNCT
cana-4116	117	1	communications	communication	NOUN
cana-4116	117	2	on	on	ADP
cana-4116	117	3	applied	apply	VERB
cana-4116	117	4	nonlinear	nonlinear	ADJ
cana-4116	117	5	analysis	analysis	NOUN
cana-4116	117	6	issn	issn	NOUN
cana-4116	117	7	:	:	PUNCT
cana-4116	117	8	1074	1074	NUM
cana-4116	117	9	-	-	PUNCT
cana-4116	117	10	133x	133x	NUM
cana-4116	117	11	vol	vol	NOUN
cana-4116	117	12	32	32	NUM
cana-4116	117	13	no	no	NOUN
cana-4116	117	14	.	.	PUNCT
cana-4116	118	1	9s	9s	NUM
cana-4116	118	2	(	(	PUNCT
cana-4116	118	3	2025	2025	NUM
cana-4116	118	4	)	)	PUNCT
cana-4116	118	5	1092	1092	NUM
cana-4116	118	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	118	7	2.1	2.1	NUM
cana-4116	118	8	hfss	hfss	NOUN
cana-4116	118	9	,	,	PUNCT
cana-4116	118	10	dhfss	dhfss	VERB
cana-4116	118	11	and	and	CCONJ
cana-4116	118	12	their	their	PRON
cana-4116	118	13	related	related	ADJ
cana-4116	118	14	properties	property	NOUN
cana-4116	118	15	.	.	PUNCT
cana-4116	119	1	definition	definition	NOUN
cana-4116	119	2	2.1	2.1	NUM
cana-4116	119	3	(	(	PUNCT
cana-4116	119	4	torra	torra	VERB
cana-4116	119	5	and	and	CCONJ
cana-4116	119	6	narukawa	narukawa	NOUN
cana-4116	119	7	)	)	PUNCT
cana-4116	120	1	[	[	X
cana-4116	120	2	10	10	NUM
cana-4116	120	3	]	]	PUNCT
cana-4116	120	4	consider	consider	VERB
cana-4116	120	5	a	a	DET
cana-4116	120	6	finite	finite	ADJ
cana-4116	120	7	collection	collection	NOUN
cana-4116	120	8	set	set	VERB
cana-4116	120	9	𝜁	𝜁	PROPN
cana-4116	120	10	,	,	PUNCT
cana-4116	120	11	and	and	CCONJ
cana-4116	120	12	define	define	VERB
cana-4116	120	13	hfss	hfss	NOUN
cana-4116	120	14	ℑ	ℑ	PROPN
cana-4116	120	15	in	in	ADP
cana-4116	120	16	terms	term	NOUN
cana-4116	120	17	of	of	ADP
cana-4116	120	18	function	function	NOUN
cana-4116	120	19	on	on	ADP
cana-4116	120	20	𝜁.	𝜁.	PROPN
cana-4116	120	21	ℎ𝑒ℑ	ℎ𝑒ℑ	PROPN
cana-4116	120	22	:	:	PUNCT
cana-4116	120	23	𝜁	𝜁	PROPN
cana-4116	120	24	→	→	SYM
cana-4116	120	25	𝑅(𝐽	𝑅(𝐽	PROPN
cana-4116	120	26	)	)	PUNCT
cana-4116	120	27	,	,	PUNCT
cana-4116	120	28	and	and	CCONJ
cana-4116	120	29	ℎ𝑒ℑ	ℎ𝑒ℑ	NOUN
cana-4116	120	30	≠	≠	PROPN
cana-4116	120	31	𝜙	𝜙	NOUN
cana-4116	120	32	and	and	CCONJ
cana-4116	120	33	definite	definite	ADJ
cana-4116	120	34	set	set	NOUN
cana-4116	120	35	for	for	ADP
cana-4116	120	36	any	any	DET
cana-4116	120	37	𝑢	𝑢	PROPN
cana-4116	120	38	∈	∈	PROPN
cana-4116	120	39	𝜁.	𝜁.	NOUN
cana-4116	120	40	a	a	DET
cana-4116	120	41	hesitant	hesitant	ADJ
cana-4116	120	42	fuzzy	fuzzy	ADJ
cana-4116	120	43	set	set	NOUN
cana-4116	120	44	usually	usually	ADV
cana-4116	120	45	gets	get	AUX
cana-4116	120	46	expressed	express	VERB
cana-4116	120	47	by	by	ADP
cana-4116	120	48	ℑ	ℑ	PROPN
cana-4116	120	49	=	=	PUNCT
cana-4116	120	50	{	{	PUNCT
cana-4116	120	51	〈	〈	NOUN
cana-4116	120	52	𝑢	𝑢	X
cana-4116	120	53	,	,	PUNCT
cana-4116	120	54	ℎ𝑒ℑ(𝑢)〉|𝑢	ℎ𝑒ℑ(𝑢)〉|𝑢	VERB
cana-4116	120	55	∈	∈	NOUN
cana-4116	120	56	𝜁	𝜁	NOUN
cana-4116	120	57	}	}	PUNCT
cana-4116	120	58	here	here	ADV
cana-4116	120	59	𝑅(𝐽	𝑅(𝐽	PROPN
cana-4116	120	60	)	)	PUNCT
cana-4116	120	61	represents	represent	VERB
cana-4116	120	62	power	power	NOUN
cana-4116	120	63	set	set	NOUN
cana-4116	120	64	of	of	ADP
cana-4116	120	65	[	[	X
cana-4116	120	66	0,1	0,1	NUM
cana-4116	120	67	]	]	PUNCT
cana-4116	120	68	,	,	PUNCT
cana-4116	120	69	ℎ𝑒ℑ(𝑢	ℎ𝑒ℑ(𝑢	PROPN
cana-4116	120	70	)	)	PUNCT
cana-4116	120	71	represents	represent	VERB
cana-4116	120	72	hesitant	hesitant	ADJ
cana-4116	120	73	fuzzy	fuzzy	ADJ
cana-4116	120	74	element	element	NOUN
cana-4116	120	75	(	(	PUNCT
cana-4116	120	76	𝐻𝐹𝐸	𝐻𝐹𝐸	PROPN
cana-4116	120	77	)	)	PUNCT
cana-4116	120	78	.	.	PUNCT
cana-4116	121	1	definition	definition	NOUN
cana-4116	121	2	2.2	2.2	NUM
cana-4116	121	3	(	(	PUNCT
cana-4116	121	4	zhu	zhu	X
cana-4116	121	5	et	et	NOUN
cana-4116	121	6	al.)[11	al.)[11	PROPN
cana-4116	121	7	]	]	PUNCT
cana-4116	121	8	let	let	VERB
cana-4116	121	9	𝜁	𝜁	PRON
cana-4116	121	10	be	be	AUX
cana-4116	121	11	a	a	DET
cana-4116	121	12	fixed	fix	VERB
cana-4116	121	13	set	set	NOUN
cana-4116	121	14	,	,	PUNCT
cana-4116	121	15	a	a	DET
cana-4116	121	16	dual	dual	ADV
cana-4116	121	17	hesitant	hesitant	ADJ
cana-4116	121	18	fuzzy	fuzzy	ADJ
cana-4116	121	19	set	set	NOUN
cana-4116	121	20	(	(	PUNCT
cana-4116	121	21	dhfs	dhfs	ADJ
cana-4116	121	22	)	)	PUNCT
cana-4116	121	23	m	m	VERB
cana-4116	121	24	on	on	ADP
cana-4116	121	25	𝜁	𝜁	PROPN
cana-4116	121	26	is	be	AUX
cana-4116	121	27	defined	define	VERB
cana-4116	121	28	as	as	ADP
cana-4116	121	29	𝑀	𝑀	PROPN
cana-4116	121	30	=	=	PRON
cana-4116	121	31	{	{	PUNCT
cana-4116	121	32	(	(	PUNCT
cana-4116	121	33	𝑢	𝑢	NOUN
cana-4116	121	34	,	,	PUNCT
cana-4116	121	35	ℎ𝑒(𝑢	ℎ𝑒(𝑢	NOUN
cana-4116	121	36	)	)	PUNCT
cana-4116	121	37	,	,	PUNCT
cana-4116	122	1	𝑡(𝑢))|𝑢	𝑡(𝑢))|𝑢	PROPN
cana-4116	122	2	∈	∈	PROPN
cana-4116	122	3	𝜁	𝜁	PROPN
cana-4116	122	4	}	}	PUNCT
cana-4116	122	5	,	,	PUNCT
cana-4116	122	6	in	in	ADP
cana-4116	122	7	which	which	PRON
cana-4116	122	8	ℎ𝑒(𝑢	ℎ𝑒(𝑢	NUM
cana-4116	122	9	)	)	PUNCT
cana-4116	122	10	and	and	CCONJ
cana-4116	122	11	𝑡(𝑢	𝑡(𝑢	NOUN
cana-4116	122	12	)	)	PUNCT
cana-4116	122	13	are	be	AUX
cana-4116	122	14	two	two	NUM
cana-4116	122	15	sets	set	NOUN
cana-4116	122	16	of	of	ADP
cana-4116	122	17	some	some	DET
cana-4116	122	18	values	value	NOUN
cana-4116	122	19	in	in	ADP
cana-4116	122	20	[	[	X
cana-4116	122	21	0,1	0,1	NUM
cana-4116	122	22	]	]	PUNCT
cana-4116	122	23	,	,	PUNCT
cana-4116	122	24	denoting	denote	VERB
cana-4116	122	25	the	the	DET
cana-4116	122	26	possible	possible	ADJ
cana-4116	122	27	membership	membership	NOUN
cana-4116	122	28	degrees	degree	NOUN
cana-4116	122	29	and	and	CCONJ
cana-4116	122	30	non	non	ADJ
cana-4116	122	31	-	-	ADJ
cana-4116	122	32	membership	membership	ADJ
cana-4116	122	33	degrees	degree	NOUN
cana-4116	122	34	of	of	ADP
cana-4116	122	35	the	the	DET
cana-4116	122	36	element	element	NOUN
cana-4116	122	37	𝑢	𝑢	PROPN
cana-4116	122	38	∈	∈	PROPN
cana-4116	122	39	𝜁	𝜁	NOUN
cana-4116	122	40	to	to	ADP
cana-4116	122	41	the	the	DET
cana-4116	122	42	set	set	NOUN
cana-4116	122	43	m	m	PROPN
cana-4116	122	44	,	,	PUNCT
cana-4116	122	45	respectively.for	respectively.for	ADP
cana-4116	122	46	convenience	convenience	NOUN
cana-4116	122	47	,	,	PUNCT
cana-4116	122	48	dhfe	dhfe	PROPN
cana-4116	122	49	are	be	AUX
cana-4116	122	50	represented	represent	VERB
cana-4116	122	51	by	by	ADP
cana-4116	122	52	the	the	DET
cana-4116	122	53	pair	pair	NOUN
cana-4116	122	54	𝑚𝐹(𝑢	𝑚𝐹(𝑢	NUM
cana-4116	122	55	)	)	PUNCT
cana-4116	123	1	=	=	PRON
cana-4116	123	2	(	(	PUNCT
cana-4116	123	3	ℎ𝑒𝐹(𝑢	ℎ𝑒𝐹(𝑢	PROPN
cana-4116	123	4	)	)	PUNCT
cana-4116	123	5	,	,	PUNCT
cana-4116	123	6	𝑡𝐹(𝑢	𝑡𝐹(𝑢	PROPN
cana-4116	123	7	)	)	PUNCT
cana-4116	123	8	)	)	PUNCT
cana-4116	123	9	,	,	PUNCT
cana-4116	123	10	with	with	ADP
cana-4116	123	11	the	the	DET
cana-4116	123	12	condition	condition	NOUN
cana-4116	123	13	:	:	PUNCT
cana-4116	123	14	0	0	NUM
cana-4116	123	15	≤	≤	NUM
cana-4116	123	16	𝜃	𝜃	NOUN
cana-4116	123	17	,	,	PUNCT
cana-4116	123	18	𝜗	𝜗	PROPN
cana-4116	123	19	≤	≤	NUM
cana-4116	123	20	1,0	1,0	NUM
cana-4116	123	21	≤	≤	NUM
cana-4116	123	22	𝜃	𝜃	NOUN
cana-4116	124	1	+	+	NUM
cana-4116	124	2	𝜗	𝜗	SYM
cana-4116	124	3	≤	≤	NUM
cana-4116	124	4	1	1	NUM
cana-4116	124	5	,	,	PUNCT
cana-4116	124	6	where	where	SCONJ
cana-4116	124	7	𝜃	𝜃	X
cana-4116	124	8	∈	∈	PROPN
cana-4116	124	9	ℎ𝑒𝐹(𝑢	ℎ𝑒𝐹(𝑢	PROPN
cana-4116	124	10	)	)	PUNCT
cana-4116	124	11	,	,	PUNCT
cana-4116	124	12	𝜗	𝜗	PROPN
cana-4116	124	13	𝑖𝑛𝑡𝐹(𝑢	𝑖𝑛𝑡𝐹(𝑢	PROPN
cana-4116	124	14	)	)	PUNCT
cana-4116	124	15	,	,	PUNCT
cana-4116	124	16	𝜃+	𝜃+	X
cana-4116	124	17	∈	∈	NOUN
cana-4116	124	18	ℎ𝑒𝐹	ℎ𝑒𝐹	X
cana-4116	124	19	+	+	PROPN
cana-4116	124	20	(	(	PUNCT
cana-4116	124	21	𝑢	𝑢	NOUN
cana-4116	124	22	)	)	PUNCT
cana-4116	124	23	=	=	NOUN
cana-4116	124	24	∪𝜃∈ℎ𝑒𝐹(𝑢	∪𝜃∈ℎ𝑒𝐹(𝑢	NOUN
cana-4116	124	25	)	)	PUNCT
cana-4116	124	26	𝑚𝑎𝑥{𝜃	𝑚𝑎𝑥{𝜃	NOUN
cana-4116	124	27	}	}	PUNCT
cana-4116	124	28	,	,	PUNCT
cana-4116	124	29	and	and	CCONJ
cana-4116	124	30	𝜗+	𝜗+	ADV
cana-4116	124	31	∈	∈	PROPN
cana-4116	124	32	𝑡𝐹	𝑡𝐹	NOUN
cana-4116	124	33	+	+	NOUN
cana-4116	124	34	(	(	PUNCT
cana-4116	124	35	𝑢	𝑢	X
cana-4116	124	36	)	)	PUNCT
cana-4116	124	37	=	=	NOUN
cana-4116	124	38	∪𝜗∈𝑡𝐹(𝑢	∪𝜗∈𝑡𝐹(𝑢	NOUN
cana-4116	124	39	)	)	PUNCT
cana-4116	124	40	𝑚𝑎𝑥{𝜗	𝑚𝑎𝑥{𝜗	ADV
cana-4116	124	41	}	}	PUNCT
cana-4116	124	42	initially	initially	ADV
cana-4116	124	43	,	,	PUNCT
cana-4116	124	44	we	we	PRON
cana-4116	124	45	define	define	VERB
cana-4116	124	46	a	a	DET
cana-4116	124	47	few	few	ADJ
cana-4116	124	48	unique	unique	ADJ
cana-4116	124	49	dhfes	dhfe	NOUN
cana-4116	124	50	.	.	PUNCT
cana-4116	125	1	assuming	assume	VERB
cana-4116	125	2	a	a	DET
cana-4116	125	3	dhfe	dhfe	NOUN
cana-4116	125	4	,	,	PUNCT
cana-4116	125	5	𝑑𝐹	𝑑𝐹	PROPN
cana-4116	125	6	,	,	PUNCT
cana-4116	125	7	we	we	PRON
cana-4116	125	8	have	have	VERB
cana-4116	125	9	(	(	PUNCT
cana-4116	125	10	1	1	X
cana-4116	125	11	)	)	PUNCT
cana-4116	125	12	complete	complete	ADJ
cana-4116	125	13	uncertainty	uncertainty	NOUN
cana-4116	125	14	:	:	PUNCT
cana-4116	125	15	𝑑𝐹	𝑑𝐹	PUNCT
cana-4116	125	16	=	=	PRON
cana-4116	125	17	{	{	PUNCT
cana-4116	125	18	{	{	PUNCT
cana-4116	125	19	0	0	NUM
cana-4116	125	20	}	}	PUNCT
cana-4116	125	21	}	}	PUNCT
cana-4116	125	22	,	,	PUNCT
cana-4116	125	23	{	{	PUNCT
cana-4116	125	24	{	{	PUNCT
cana-4116	125	25	1	1	NUM
cana-4116	125	26	}	}	PUNCT
cana-4116	125	27	}	}	PUNCT
cana-4116	125	28	;	;	PUNCT
cana-4116	125	29	(	(	PUNCT
cana-4116	125	30	2	2	X
cana-4116	125	31	)	)	PUNCT
cana-4116	125	32	complete	complete	ADJ
cana-4116	125	33	certainty	certainty	NOUN
cana-4116	125	34	:	:	PUNCT
cana-4116	125	35	𝑑𝐹	𝑑𝐹	PUNCT
cana-4116	125	36	=	=	PRON
cana-4116	125	37	{	{	PUNCT
cana-4116	125	38	{	{	PUNCT
cana-4116	125	39	1	1	NUM
cana-4116	125	40	}	}	PUNCT
cana-4116	125	41	}	}	PUNCT
cana-4116	125	42	,	,	PUNCT
cana-4116	125	43	{	{	PUNCT
cana-4116	125	44	{	{	PUNCT
cana-4116	125	45	0	0	NUM
cana-4116	125	46	}	}	PUNCT
cana-4116	125	47	}	}	PUNCT
cana-4116	125	48	;	;	PUNCT
cana-4116	125	49	(	(	PUNCT
cana-4116	125	50	3	3	X
cana-4116	125	51	)	)	PUNCT
cana-4116	125	52	complete	complete	ADJ
cana-4116	125	53	ill	ill	ADV
cana-4116	125	54	-	-	PUNCT
cana-4116	125	55	known	know	VERB
cana-4116	125	56	(	(	PUNCT
cana-4116	125	57	all	all	PRON
cana-4116	125	58	is	be	AUX
cana-4116	125	59	possible	possible	ADJ
cana-4116	125	60	):	):	PUNCT
cana-4116	125	61	𝑑𝐹	𝑑𝐹	PUNCT
cana-4116	125	62	=	=	PUNCT
cana-4116	126	1	[	[	X
cana-4116	126	2	0,1	0,1	NUM
cana-4116	126	3	]	]	PUNCT
cana-4116	126	4	;	;	PUNCT
cana-4116	126	5	(	(	PUNCT
cana-4116	126	6	4	4	X
cana-4116	126	7	)	)	PUNCT
cana-4116	126	8	nonsense	nonsense	NOUN
cana-4116	126	9	element	element	NOUN
cana-4116	126	10	:	:	PUNCT
cana-4116	126	11	𝑑𝐹	𝑑𝐹	X
cana-4116	126	12	=	=	SYM
cana-4116	127	1	φ	φ	PROPN
cana-4116	127	2	,	,	PUNCT
cana-4116	127	3	𝑖.	𝑖.	PROPN
cana-4116	127	4	𝑒.	𝑒.	PROPN
cana-4116	127	5	,	,	PUNCT
cana-4116	127	6	ℎ𝑒𝐹	ℎ𝑒𝐹	PROPN
cana-4116	127	7	=	=	SYM
cana-4116	127	8	𝜙	𝜙	NOUN
cana-4116	127	9	,	,	PUNCT
cana-4116	127	10	𝑡𝐹	𝑡𝐹	NOUN
cana-4116	127	11	=	=	SYM
cana-4116	127	12	𝜙.	𝜙.	NOUN
cana-4116	127	13	basic	basic	ADJ
cana-4116	127	14	operations	operation	NOUN
cana-4116	127	15	and	and	CCONJ
cana-4116	127	16	properties	property	NOUN
cana-4116	127	17	of	of	ADP
cana-4116	127	18	dhfss	dhfss	ADJ
cana-4116	127	19	definition	definition	NOUN
cana-4116	127	20	2.3	2.3	NUM
cana-4116	127	21	(	(	PUNCT
cana-4116	127	22	zhu	zhu	X
cana-4116	127	23	et	et	NOUN
cana-4116	127	24	al.)[13	al.)[13	NOUN
cana-4116	127	25	]	]	PUNCT
cana-4116	127	26	given	give	VERB
cana-4116	127	27	a	a	DET
cana-4116	127	28	dhfe	dhfe	NOUN
cana-4116	127	29	𝑑𝐸	𝑑𝐸	ADV
cana-4116	127	30	,	,	PUNCT
cana-4116	127	31	and	and	CCONJ
cana-4116	127	32	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	127	33	≠	≠	PROPN
cana-4116	127	34	φ	φ	NOUN
cana-4116	127	35	,	,	PUNCT
cana-4116	127	36	its	its	PRON
cana-4116	127	37	complement	complement	NOUN
cana-4116	127	38	is	be	AUX
cana-4116	127	39	as	as	ADV
cana-4116	127	40	follow	follow	VERB
cana-4116	127	41	:	:	PUNCT
cana-4116	127	42	complement	complement	NOUN
cana-4116	127	43	:	:	PUNCT
cana-4116	128	1	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	128	2	𝑐	𝑐	X
cana-4116	128	3	=	=	SYM
cana-4116	128	4	(	(	PUNCT
cana-4116	128	5	∪𝜃∈ℎ𝐸	∪𝜃∈ℎ𝐸	X
cana-4116	128	6	{	{	PUNCT
cana-4116	128	7	𝜃},∪𝜗∈𝑘𝐸	𝜃},∪𝜗∈𝑘𝐸	ADV
cana-4116	128	8	{	{	PUNCT
cana-4116	128	9	𝜗	𝜗	NOUN
cana-4116	128	10	}	}	PUNCT
cana-4116	128	11	)	)	PUNCT
cana-4116	128	12	,	,	PUNCT
cana-4116	128	13	if	if	SCONJ
cana-4116	128	14	ℎ𝐸	ℎ𝐸	PUNCT
cana-4116	128	15	≠	≠	PROPN
cana-4116	128	16	𝜙	𝜙	NOUN
cana-4116	128	17	and	and	CCONJ
cana-4116	128	18	𝑘𝐸	𝑘𝐸	PROPN
cana-4116	128	19	≠	≠	PROPN
cana-4116	128	20	𝜙	𝜙	PROPN
cana-4116	128	21	(	(	PUNCT
cana-4116	128	22	∪𝜃∈ℎ𝐸	∪𝜃∈ℎ𝐸	NOUN
cana-4116	128	23	{	{	PUNCT
cana-4116	128	24	1	1	NUM
cana-4116	128	25	−	−	PROPN
cana-4116	128	26	𝜃	𝜃	NOUN
cana-4116	128	27	}	}	PUNCT
cana-4116	128	28	,	,	PUNCT
cana-4116	128	29	{	{	PUNCT
cana-4116	128	30	𝜙	𝜙	NOUN
cana-4116	128	31	}	}	PUNCT
cana-4116	128	32	)	)	PUNCT
cana-4116	128	33	,	,	PUNCT
cana-4116	128	34	if	if	SCONJ
cana-4116	128	35	ℎ𝐸	ℎ𝐸	PUNCT
cana-4116	128	36	≠	≠	PROPN
cana-4116	128	37	𝜙	𝜙	NOUN
cana-4116	128	38	and	and	CCONJ
cana-4116	128	39	𝑘𝐸	𝑘𝐸	PROPN
cana-4116	128	40	=	=	PRON
cana-4116	129	1	𝜙	𝜙	PROPN
cana-4116	129	2	(	(	PUNCT
cana-4116	129	3	{	{	PUNCT
cana-4116	129	4	𝜙},∪𝜗∈𝑘𝐸	𝜙},∪𝜗∈𝑘𝐸	PROPN
cana-4116	129	5	{	{	PUNCT
cana-4116	129	6	1	1	NUM
cana-4116	129	7	−	−	PROPN
cana-4116	129	8	𝜗	𝜗	NOUN
cana-4116	129	9	}	}	PUNCT
cana-4116	129	10	)	)	PUNCT
cana-4116	129	11	,	,	PUNCT
cana-4116	129	12	if	if	SCONJ
cana-4116	129	13	ℎ𝐸	ℎ𝐸	PUNCT
cana-4116	129	14	=	=	VERB
cana-4116	129	15	𝜙	𝜙	PROPN
cana-4116	129	16	and	and	CCONJ
cana-4116	129	17	𝑘𝐸	𝑘𝐸	PROPN
cana-4116	129	18	≠	≠	PROPN
cana-4116	129	19	𝜙.	𝜙.	NOUN
cana-4116	129	20	definition	definition	NOUN
cana-4116	129	21	2.4	2.4	NUM
cana-4116	129	22	(	(	PUNCT
cana-4116	129	23	zhu	zhu	X
cana-4116	129	24	et	et	PROPN
cana-4116	129	25	al.)[13	al.)[13	PROPN
cana-4116	129	26	]	]	PUNCT
cana-4116	130	1	let	let	VERB
cana-4116	130	2	𝑑𝐸1	𝑑𝐸1	PROPN
cana-4116	130	3	,	,	PUNCT
cana-4116	130	4	𝑑𝐸2	𝑑𝐸2	PROPN
cana-4116	130	5	∈	∈	PROPN
cana-4116	130	6	𝐷𝐻𝐹𝐹𝑠.	𝐷𝐻𝐹𝐹𝑠.	PROPN
cana-4116	130	7	then	then	ADV
cana-4116	130	8	(	(	PUNCT
cana-4116	130	9	a	a	X
cana-4116	130	10	)	)	PUNCT
cana-4116	130	11	union	union	NOUN
cana-4116	130	12	:	:	PUNCT
cana-4116	130	13	𝑑𝐸1	𝑑𝐸1	PROPN
cana-4116	130	14	∪	∪	VERB
cana-4116	130	15	𝑑𝐸2	𝑑𝐸2	PROPN
cana-4116	130	16	=	=	SYM
cana-4116	130	17	{	{	PUNCT
cana-4116	130	18	𝜃	𝜃	X
cana-4116	130	19	∈	∈	PROPN
cana-4116	130	20	(	(	PUNCT
cana-4116	130	21	ℎ𝐸1	ℎ𝐸1	PROPN
cana-4116	130	22	∪	∪	PROPN
cana-4116	130	23	ℎ𝐸2	ℎ𝐸2	PROPN
cana-4116	130	24	)	)	PUNCT
cana-4116	130	25	|𝜃	|𝜃	PART
cana-4116	130	26	≥	≥	PROPN
cana-4116	130	27	𝑚𝑎𝑥(ℎ𝐸1	𝑚𝑎𝑥(ℎ𝐸1	VERB
cana-4116	130	28	−	−	PROPN
cana-4116	130	29	,	,	PUNCT
cana-4116	130	30	ℎ𝐸2	ℎ𝐸2	PROPN
cana-4116	130	31	−	−	PROPN
cana-4116	130	32	)	)	PUNCT
cana-4116	130	33	,	,	PUNCT
cana-4116	130	34	𝜗	𝜗	PROPN
cana-4116	130	35	∈	∈	PROPN
cana-4116	130	36	(	(	PUNCT
cana-4116	130	37	𝑘𝐸1	𝑘𝐸1	NOUN
cana-4116	130	38	∩	∩	X
cana-4116	130	39	𝑘𝐸2	𝑘𝐸2	ADJ
cana-4116	130	40	)	)	PUNCT
cana-4116	130	41	|𝜗	|𝜗	PUNCT
cana-4116	130	42	≤	≤	PROPN
cana-4116	130	43	𝑚𝑖𝑛(𝑘𝐸1	𝑚𝑖𝑛(𝑘𝐸1	VERB
cana-4116	130	44	+	+	CCONJ
cana-4116	130	45	,	,	PUNCT
cana-4116	130	46	𝑘𝐸2	𝑘𝐸2	PROPN
cana-4116	130	47	+	+	CCONJ
cana-4116	130	48	)	)	PUNCT
cana-4116	130	49	}	}	PUNCT
cana-4116	130	50	(	(	PUNCT
cana-4116	130	51	b)intersection	b)intersection	NOUN
cana-4116	130	52	:	:	PUNCT
cana-4116	130	53	𝑑𝐸1	𝑑𝐸1	PROPN
cana-4116	130	54	∩	∩	NOUN
cana-4116	130	55	𝑑𝐸2	𝑑𝐸2	PROPN
cana-4116	130	56	=	=	SYM
cana-4116	130	57	{	{	PUNCT
cana-4116	130	58	𝜃	𝜃	X
cana-4116	130	59	∈	∈	PROPN
cana-4116	130	60	(	(	PUNCT
cana-4116	130	61	ℎ𝐸1	ℎ𝐸1	PROPN
cana-4116	130	62	∩	∩	PROPN
cana-4116	130	63	ℎ𝐸2	ℎ𝐸2	PROPN
cana-4116	130	64	)	)	PUNCT
cana-4116	130	65	|𝜃	|𝜃	X
cana-4116	130	66	≤	≤	NOUN
cana-4116	130	67	𝑚𝑖𝑛(ℎ𝐸1	𝑚𝑖𝑛(ℎ𝐸1	NOUN
cana-4116	131	1	+	+	CCONJ
cana-4116	131	2	,	,	PUNCT
cana-4116	131	3	ℎ𝐸2	ℎ𝐸2	PROPN
cana-4116	131	4	+	+	CCONJ
cana-4116	131	5	)	)	PUNCT
cana-4116	131	6	,	,	PUNCT
cana-4116	131	7	𝜗	𝜗	PROPN
cana-4116	131	8	∈	∈	PROPN
cana-4116	131	9	(	(	PUNCT
cana-4116	131	10	𝑘𝐸1	𝑘𝐸1	X
cana-4116	131	11	∪	∪	PROPN
cana-4116	131	12	𝑘𝐸2	𝑘𝐸2	PROPN
cana-4116	131	13	)	)	PUNCT
cana-4116	131	14	|𝜗	|𝜗	PUNCT
cana-4116	131	15	≥	≥	VERB
cana-4116	131	16	𝑚𝑎𝑥(𝑘𝐸1	𝑚𝑎𝑥(𝑘𝐸1	ADV
cana-4116	131	17	−	−	PROPN
cana-4116	131	18	,	,	PUNCT
cana-4116	131	19	𝑘𝐸2	𝑘𝐸2	PROPN
cana-4116	131	20	−	−	NOUN
cana-4116	131	21	)	)	PUNCT
cana-4116	131	22	}	}	PUNCT
cana-4116	131	23	definition	definition	NOUN
cana-4116	131	24	2.5	2.5	NUM
cana-4116	131	25	(	(	PUNCT
cana-4116	131	26	zhu	zhu	X
cana-4116	131	27	et	et	PROPN
cana-4116	131	28	al.)[13	al.)[13	PROPN
cana-4116	131	29	]	]	PUNCT
cana-4116	131	30	let	let	VERB
cana-4116	131	31	𝑑𝐸	𝑑𝐸	ADV
cana-4116	131	32	=	=	SYM
cana-4116	131	33	{	{	PUNCT
cana-4116	131	34	ℎ𝐸	ℎ𝐸	PROPN
cana-4116	131	35	,	,	PUNCT
cana-4116	131	36	𝑘𝐸	𝑘𝐸	PROPN
cana-4116	131	37	}	}	PUNCT
cana-4116	131	38	be	be	VERB
cana-4116	131	39	any	any	DET
cana-4116	131	40	two	two	NUM
cana-4116	131	41	dhfes	dhfe	NOUN
cana-4116	131	42	.	.	PUNCT
cana-4116	132	1	then	then	ADV
cana-4116	132	2	score	score	VERB
cana-4116	132	3	function	function	NOUN
cana-4116	132	4	of	of	ADP
cana-4116	132	5	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	132	6	is	be	AUX
cana-4116	132	7	given	give	VERB
cana-4116	132	8	as	as	ADP
cana-4116	132	9	follow	follow	NOUN
cana-4116	132	10	:	:	PUNCT
cana-4116	132	11	𝑠(𝑑𝐸	𝑠(𝑑𝐸	X
cana-4116	132	12	)	)	PUNCT
cana-4116	132	13	=	=	SYM
cana-4116	132	14	1	1	NUM
cana-4116	132	15	𝑡ℎ𝐸	𝑡ℎ𝐸	NOUN
cana-4116	132	16	∑𝜃∈ℎ𝐸	∑𝜃∈ℎ𝐸	NOUN
cana-4116	132	17	𝜃	𝜃	NOUN
cana-4116	132	18	−	−	NUM
cana-4116	132	19	1	1	NUM
cana-4116	132	20	𝑡𝑘𝐸	𝑡𝑘𝐸	PROPN
cana-4116	132	21	∑𝜗∈𝑘𝐸	∑𝜗∈𝑘𝐸	NUM
cana-4116	132	22	𝜗	𝜗	NOUN
cana-4116	132	23	,	,	PUNCT
cana-4116	132	24	where	where	SCONJ
cana-4116	132	25	𝑡(ℎ𝐸	𝑡(ℎ𝐸	ADP
cana-4116	132	26	)	)	PUNCT
cana-4116	132	27	and	and	CCONJ
cana-4116	132	28	𝑡(𝑘𝐸	𝑡(𝑘𝐸	NUM
cana-4116	132	29	)	)	PUNCT
cana-4116	132	30	are	be	AUX
cana-4116	132	31	length	length	NOUN
cana-4116	132	32	of	of	ADP
cana-4116	132	33	ℎ𝐸	ℎ𝐸	PROPN
cana-4116	132	34	and	and	CCONJ
cana-4116	132	35	𝑘𝐸	𝑘𝐸	PROPN
cana-4116	132	36	,	,	PUNCT
cana-4116	132	37	respectively	respectively	ADV
cana-4116	132	38	.	.	PUNCT
cana-4116	133	1	communications	communication	NOUN
cana-4116	133	2	on	on	ADP
cana-4116	133	3	applied	apply	VERB
cana-4116	133	4	nonlinear	nonlinear	ADJ
cana-4116	133	5	analysis	analysis	NOUN
cana-4116	133	6	issn	issn	NOUN
cana-4116	133	7	:	:	PUNCT
cana-4116	133	8	1074	1074	NUM
cana-4116	133	9	-	-	PUNCT
cana-4116	133	10	133x	133x	NUM
cana-4116	133	11	vol	vol	NOUN
cana-4116	133	12	32	32	NUM
cana-4116	133	13	no	no	NOUN
cana-4116	133	14	.	.	PUNCT
cana-4116	134	1	9s	9s	NUM
cana-4116	134	2	(	(	PUNCT
cana-4116	134	3	2025	2025	NUM
cana-4116	134	4	)	)	PUNCT
cana-4116	134	5	1093	1093	NUM
cana-4116	134	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	135	1	the	the	DET
cana-4116	135	2	accuracy	accuracy	NOUN
cana-4116	135	3	function	function	NOUN
cana-4116	135	4	of	of	ADP
cana-4116	135	5	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	135	6	is	be	AUX
cana-4116	135	7	given	give	VERB
cana-4116	135	8	below	below	ADP
cana-4116	135	9	:	:	PUNCT
cana-4116	135	10	𝐴𝑐(𝑑𝐸	𝐴𝑐(𝑑𝐸	PROPN
cana-4116	135	11	)	)	PUNCT
cana-4116	135	12	=	=	SYM
cana-4116	135	13	1	1	NUM
cana-4116	135	14	𝑡ℎ𝐸	𝑡ℎ𝐸	NOUN
cana-4116	135	15	∑𝜃∈ℎ𝐸	∑𝜃∈ℎ𝐸	PROPN
cana-4116	135	16	𝜃	𝜃	NOUN
cana-4116	136	1	+	+	NOUN
cana-4116	136	2	1	1	NUM
cana-4116	136	3	𝑡𝑘𝐸	𝑡𝑘𝐸	NOUN
cana-4116	136	4	∑𝜗∈𝑘𝐸	∑𝜗∈𝑘𝐸	NUM
cana-4116	136	5	𝜗	𝜗	AUX
cana-4116	136	6	let	let	VERB
cana-4116	136	7	𝑑𝐸1	𝑑𝐸1	PROPN
cana-4116	136	8	,	,	PUNCT
cana-4116	136	9	𝑑𝐸2	𝑑𝐸2	PROPN
cana-4116	136	10	∈	∈	PROPN
cana-4116	136	11	𝐷𝐻𝐹𝐸𝑠	𝐷𝐻𝐹𝐸𝑠	NOUN
cana-4116	136	12	,	,	PUNCT
cana-4116	136	13	the	the	DET
cana-4116	136	14	comparison	comparison	NOUN
cana-4116	136	15	rule	rule	NOUN
cana-4116	136	16	between	between	ADP
cana-4116	136	17	𝐷𝐻𝐹𝐸𝑠	𝐷𝐻𝐹𝐸𝑠	NOUN
cana-4116	136	18	are	be	AUX
cana-4116	136	19	given	give	VERB
cana-4116	136	20	below	below	ADP
cana-4116	136	21	:	:	PUNCT
cana-4116	136	22	(	(	PUNCT
cana-4116	136	23	a	a	X
cana-4116	136	24	)	)	PUNCT
cana-4116	136	25	if	if	SCONJ
cana-4116	136	26	𝑠(𝑑𝐸1	𝑠(𝑑𝐸1	NUM
cana-4116	136	27	)	)	PUNCT
cana-4116	136	28	<	<	X
cana-4116	136	29	𝑠(𝑑𝐸2	𝑠(𝑑𝐸2	PROPN
cana-4116	136	30	)	)	PUNCT
cana-4116	136	31	,	,	PUNCT
cana-4116	136	32	then	then	ADV
cana-4116	136	33	𝑑𝐸1	𝑑𝐸1	PROPN
cana-4116	136	34	is	be	AUX
cana-4116	136	35	superior	superior	ADJ
cana-4116	136	36	to	to	ADP
cana-4116	136	37	𝑑𝐸2	𝑑𝐸2	PROPN
cana-4116	136	38	,	,	PUNCT
cana-4116	136	39	denoted	denote	VERB
cana-4116	136	40	by	by	ADP
cana-4116	136	41	𝑑𝐸1	𝑑𝐸1	PROPN
cana-4116	136	42	>	>	PUNCT
cana-4116	136	43	𝑑𝐸2	𝑑𝐸2	PROPN
cana-4116	136	44	;	;	PUNCT
cana-4116	136	45	(	(	PUNCT
cana-4116	136	46	b	b	X
cana-4116	136	47	)	)	PUNCT
cana-4116	136	48	if	if	SCONJ
cana-4116	136	49	𝑠(𝑑𝐸1	𝑠(𝑑𝐸1	NUM
cana-4116	136	50	)	)	PUNCT
cana-4116	136	51	=	=	SYM
cana-4116	136	52	𝑠(𝑑𝐸2	𝑠(𝑑𝐸2	PROPN
cana-4116	136	53	)	)	PUNCT
cana-4116	136	54	,	,	PUNCT
cana-4116	136	55	then	then	ADV
cana-4116	136	56	(	(	PUNCT
cana-4116	136	57	i	i	NOUN
cana-4116	136	58	)	)	PUNCT
cana-4116	136	59	if	if	SCONJ
cana-4116	136	60	𝐴𝑐(𝑑𝐸1	𝐴𝑐(𝑑𝐸1	NOUN
cana-4116	136	61	)	)	PUNCT
cana-4116	136	62	=	=	PUNCT
cana-4116	136	63	𝐴𝑐(𝑑𝐸2	𝐴𝑐(𝑑𝐸2	PROPN
cana-4116	136	64	)	)	PUNCT
cana-4116	136	65	,	,	PUNCT
cana-4116	136	66	then	then	ADV
cana-4116	136	67	𝑑𝐸1	𝑑𝐸1	PROPN
cana-4116	136	68	is	be	AUX
cana-4116	136	69	equivalent	equivalent	ADJ
cana-4116	136	70	to	to	ADP
cana-4116	136	71	𝑑𝐸2	𝑑𝐸2	PROPN
cana-4116	136	72	,	,	PUNCT
cana-4116	136	73	denoted	denote	VERB
cana-4116	136	74	by	by	ADP
cana-4116	136	75	𝑑𝐸1	𝑑𝐸1	PROPN
cana-4116	136	76	∼	∼	NOUN
cana-4116	136	77	𝑑𝐸2	𝑑𝐸2	VERB
cana-4116	136	78	.	.	PUNCT
cana-4116	137	1	(	(	PUNCT
cana-4116	137	2	ii	ii	NOUN
cana-4116	137	3	)	)	PUNCT
cana-4116	137	4	if	if	SCONJ
cana-4116	137	5	𝐴𝑐(𝑑𝐸1	𝐴𝑐(𝑑𝐸1	NOUN
cana-4116	137	6	)	)	PUNCT
cana-4116	137	7	>	>	X
cana-4116	137	8	𝐴𝑐(𝑑𝐸2	𝐴𝑐(𝑑𝐸2	PROPN
cana-4116	137	9	)	)	PUNCT
cana-4116	137	10	,	,	PUNCT
cana-4116	137	11	then	then	ADV
cana-4116	137	12	𝑑𝐸1	𝑑𝐸1	PROPN
cana-4116	137	13	is	be	AUX
cana-4116	137	14	superior	superior	ADJ
cana-4116	137	15	than	than	ADP
cana-4116	137	16	𝑑𝐸2	𝑑𝐸2	PROPN
cana-4116	137	17	,	,	PUNCT
cana-4116	137	18	denoted	denote	VERB
cana-4116	137	19	by	by	ADP
cana-4116	137	20	𝑑𝐸1	𝑑𝐸1	PROPN
cana-4116	137	21	>	>	X
cana-4116	137	22	𝑑𝐸2	𝑑𝐸2	PROPN
cana-4116	137	23	.	.	PUNCT
cana-4116	138	1	definition	definition	NOUN
cana-4116	138	2	2.6	2.6	NUM
cana-4116	138	3	(	(	PUNCT
cana-4116	138	4	zhang	zhang	PROPN
cana-4116	138	5	)	)	PUNCT
cana-4116	139	1	[	[	X
cana-4116	139	2	21	21	NUM
cana-4116	139	3	]	]	PUNCT
cana-4116	139	4	let	let	VERB
cana-4116	139	5	𝑑𝐸	𝑑𝐸	ADV
cana-4116	139	6	=	=	SYM
cana-4116	139	7	(	(	PUNCT
cana-4116	139	8	{	{	PUNCT
cana-4116	139	9	ℎ1	ℎ1	PROPN
cana-4116	139	10	1	1	NUM
cana-4116	139	11	,	,	PUNCT
cana-4116	139	12	ℎ1	ℎ1	PROPN
cana-4116	139	13	2	2	NUM
cana-4116	139	14	,	,	PUNCT
cana-4116	139	15	.	.	PUNCT
cana-4116	139	16	.	.	PUNCT
cana-4116	140	1	.	.	PUNCT
cana-4116	141	1	,	,	PUNCT
cana-4116	141	2	ℎ1	ℎ1	PROPN
cana-4116	141	3	𝑚	𝑚	PROPN
cana-4116	141	4	}	}	PUNCT
cana-4116	141	5	,	,	PUNCT
cana-4116	141	6	{	{	PUNCT
cana-4116	141	7	𝑘1	𝑘1	PROPN
cana-4116	141	8	1	1	NUM
cana-4116	141	9	,	,	PUNCT
cana-4116	141	10	𝑘1	𝑘1	NOUN
cana-4116	141	11	2	2	NUM
cana-4116	141	12	,	,	PUNCT
cana-4116	141	13	.	.	PUNCT
cana-4116	141	14	.	.	PUNCT
cana-4116	141	15	.	.	PUNCT
cana-4116	142	1	,	,	PUNCT
cana-4116	142	2	𝑘1	𝑘1	PROPN
cana-4116	142	3	𝑛	𝑛	PROPN
cana-4116	142	4	}	}	PUNCT
cana-4116	142	5	)	)	PUNCT
cana-4116	142	6	and	and	CCONJ
cana-4116	142	7	𝑓𝐸({ℎ1	𝑓𝐸({ℎ1	NUM
cana-4116	142	8	1	1	NUM
cana-4116	142	9	,	,	PUNCT
cana-4116	142	10	ℎ1	ℎ1	PROPN
cana-4116	142	11	2	2	NUM
cana-4116	142	12	,	,	PUNCT
cana-4116	142	13	.	.	PUNCT
cana-4116	142	14	.	.	PUNCT
cana-4116	142	15	.	.	PUNCT
cana-4116	143	1	,	,	PUNCT
cana-4116	143	2	ℎ1	ℎ1	PROPN
cana-4116	143	3	𝑝	𝑝	PROPN
cana-4116	143	4	}	}	PUNCT
cana-4116	143	5	,	,	PUNCT
cana-4116	143	6	{	{	PUNCT
cana-4116	143	7	𝑘1	𝑘1	PROPN
cana-4116	143	8	1	1	NUM
cana-4116	143	9	,	,	PUNCT
cana-4116	143	10	𝑘1	𝑘1	NOUN
cana-4116	143	11	2	2	NUM
cana-4116	143	12	,	,	PUNCT
cana-4116	143	13	.	.	PUNCT
cana-4116	143	14	.	.	PUNCT
cana-4116	143	15	.	.	PUNCT
cana-4116	144	1	,	,	PUNCT
cana-4116	144	2	𝑘1	𝑘1	PROPN
cana-4116	144	3	𝑞	𝑞	PROPN
cana-4116	144	4	}	}	PUNCT
cana-4116	144	5	)	)	PUNCT
cana-4116	144	6	be	be	VERB
cana-4116	144	7	two	two	NUM
cana-4116	144	8	dhfes	dhfe	NOUN
cana-4116	144	9	.	.	PUNCT
cana-4116	145	1	if	if	SCONJ
cana-4116	145	2	an	an	DET
cana-4116	145	3	entropy	entropy	NOUN
cana-4116	145	4	𝑒	𝑒	AUX
cana-4116	145	5	fulfills	fulfill	VERB
cana-4116	145	6	the	the	DET
cana-4116	145	7	following	follow	VERB
cana-4116	145	8	axiomatic	axiomatic	ADJ
cana-4116	145	9	conditions	condition	NOUN
cana-4116	145	10	,	,	PUNCT
cana-4116	145	11	it	it	PRON
cana-4116	145	12	is	be	AUX
cana-4116	145	13	a	a	DET
cana-4116	145	14	real	real	ADV
cana-4116	145	15	-	-	PUNCT
cana-4116	145	16	valued	value	VERB
cana-4116	145	17	function	function	NOUN
cana-4116	145	18	𝑒	𝑒	PART
cana-4116	145	19	:	:	PUNCT
cana-4116	145	20	𝐷𝐻𝐹𝐸	𝐷𝐻𝐹𝐸	NOUN
cana-4116	145	21	→	→	PUNCT
cana-4116	146	1	[	[	X
cana-4116	146	2	0,1	0,1	NUM
cana-4116	146	3	]	]	PUNCT
cana-4116	146	4	.	.	PUNCT
cana-4116	147	1	(	(	PUNCT
cana-4116	147	2	e1	e1	NOUN
cana-4116	147	3	)	)	PUNCT
cana-4116	147	4	𝑒(𝑑𝐸	𝑒(𝑑𝐸	PROPN
cana-4116	147	5	)	)	PUNCT
cana-4116	147	6	=	=	SYM
cana-4116	147	7	0	0	NUM
cana-4116	147	8	iff	iff	PROPN
cana-4116	147	9	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	147	10	=	=	SYM
cana-4116	147	11	(	(	PUNCT
cana-4116	147	12	{	{	PUNCT
cana-4116	147	13	1	1	NUM
cana-4116	147	14	}	}	PUNCT
cana-4116	147	15	,	,	PUNCT
cana-4116	147	16	{	{	PUNCT
cana-4116	147	17	0	0	NUM
cana-4116	147	18	}	}	PUNCT
cana-4116	147	19	)	)	PUNCT
cana-4116	147	20	or	or	CCONJ
cana-4116	147	21	𝑑𝐸	𝑑𝐸	ADV
cana-4116	147	22	=	=	SYM
cana-4116	147	23	(	(	PUNCT
cana-4116	147	24	{	{	PUNCT
cana-4116	147	25	0	0	NUM
cana-4116	147	26	}	}	PUNCT
cana-4116	147	27	,	,	PUNCT
cana-4116	147	28	{	{	PUNCT
cana-4116	147	29	1	1	NUM
cana-4116	147	30	}	}	PUNCT
cana-4116	147	31	)	)	PUNCT
cana-4116	147	32	.	.	PUNCT
cana-4116	148	1	(	(	PUNCT
cana-4116	148	2	e2	e2	PROPN
cana-4116	148	3	)	)	PUNCT
cana-4116	148	4	𝑒(𝑑𝐸	𝑒(𝑑𝐸	PROPN
cana-4116	148	5	)	)	PUNCT
cana-4116	148	6	=	=	SYM
cana-4116	148	7	1	1	NUM
cana-4116	148	8	iff	iff	VERB
cana-4116	148	9	ℎ1	ℎ1	PROPN
cana-4116	148	10	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	148	11	)	)	PUNCT
cana-4116	149	1	=	=	SYM
cana-4116	149	2	𝑘1	𝑘1	PROPN
cana-4116	149	3	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	149	4	)	)	PUNCT
cana-4116	149	5	where	where	SCONJ
cana-4116	149	6	ℎ1	ℎ1	PROPN
cana-4116	149	7	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	149	8	)	)	PUNCT
cana-4116	149	9	and	and	CCONJ
cana-4116	149	10	𝑘1	𝑘1	PROPN
cana-4116	149	11	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	149	12	)	)	PUNCT
cana-4116	149	13	are	be	AUX
cana-4116	149	14	the	the	DET
cana-4116	149	15	smallest	small	ADJ
cana-4116	149	16	value	value	NOUN
cana-4116	149	17	of	of	ADP
cana-4116	149	18	ℎ1	ℎ1	PROPN
cana-4116	149	19	and	and	CCONJ
cana-4116	149	20	𝑘1	𝑘1	PROPN
cana-4116	149	21	.	.	PUNCT
cana-4116	150	1	(	(	PUNCT
cana-4116	150	2	e3	e3	NOUN
cana-4116	150	3	)	)	PUNCT
cana-4116	150	4	𝑒(𝑑𝐸	𝑒(𝑑𝐸	PROPN
cana-4116	150	5	)	)	PUNCT
cana-4116	150	6	≥	≥	NOUN
cana-4116	150	7	𝑒(𝑓𝐸	𝑒(𝑓𝐸	NUM
cana-4116	150	8	)	)	PUNCT
cana-4116	150	9	,	,	PUNCT
cana-4116	150	10	if	if	SCONJ
cana-4116	150	11	𝑚𝑎𝑥𝑖ℎ1	𝑚𝑎𝑥𝑖ℎ1	NOUN
cana-4116	150	12	𝑖	𝑖	SYM
cana-4116	150	13	≤	≤	PUNCT
cana-4116	150	14	𝑚𝑖𝑛𝑠ℎ2	𝑚𝑖𝑛𝑠ℎ2	X
cana-4116	150	15	𝑠	𝑠	X
cana-4116	150	16	,	,	PUNCT
cana-4116	150	17	𝑚𝑎𝑥𝑗𝑘1	𝑚𝑎𝑥𝑗𝑘1	NOUN
cana-4116	151	1	𝑗	𝑗	PRON
cana-4116	151	2	≤	≤	ADJ
cana-4116	151	3	𝑚𝑖𝑛𝑡𝑘2	𝑚𝑖𝑛𝑡𝑘2	NOUN
cana-4116	151	4	𝑡	𝑡	X
cana-4116	151	5	for	for	ADP
cana-4116	151	6	𝑚𝑎𝑥𝑠ℎ2	𝑚𝑎𝑥𝑠ℎ2	NOUN
cana-4116	151	7	𝑠	𝑠	ADP
cana-4116	151	8	≤	≤	NUM
cana-4116	151	9	𝑚𝑖𝑛𝑡𝑘2	𝑚𝑖𝑛𝑡𝑘2	NOUN
cana-4116	151	10	𝑡	𝑡	NOUN
cana-4116	151	11	or	or	CCONJ
cana-4116	151	12	𝑚𝑖𝑛𝑖ℎ1	𝑚𝑖𝑛𝑖ℎ1	VERB
cana-4116	151	13	𝑖	𝑖	SYM
cana-4116	151	14	≤	≤	ADJ
cana-4116	151	15	𝑚𝑎𝑥𝑠ℎ2	𝑚𝑎𝑥𝑠ℎ2	NOUN
cana-4116	151	16	𝑠	𝑠	X
cana-4116	151	17	,	,	PUNCT
cana-4116	151	18	𝑚𝑎𝑥𝑗𝑔1	𝑚𝑎𝑥𝑗𝑔1	NOUN
cana-4116	151	19	𝑗	𝑗	PRON
cana-4116	151	20	≤	≤	ADJ
cana-4116	151	21	𝑚𝑖𝑛𝑡𝑔2	𝑚𝑖𝑛𝑡𝑔2	NOUN
cana-4116	151	22	𝑡	𝑡	PROPN
cana-4116	151	23	for	for	ADP
cana-4116	151	24	𝑚𝑖𝑛𝑠ℎ2	𝑚𝑖𝑛𝑠ℎ2	NOUN
cana-4116	151	25	𝑠	𝑠	ADP
cana-4116	151	26	≥	≥	NOUN
cana-4116	151	27	𝑚𝑎𝑥𝑡𝑔2	𝑚𝑎𝑥𝑡𝑔2	NOUN
cana-4116	151	28	𝑡	𝑡	PROPN
cana-4116	151	29	,	,	PUNCT
cana-4116	151	30	(	(	PUNCT
cana-4116	151	31	𝑖	𝑖	SYM
cana-4116	151	32	=	=	SYM
cana-4116	151	33	1,2	1,2	NUM
cana-4116	151	34	,	,	PUNCT
cana-4116	151	35	.	.	PUNCT
cana-4116	151	36	.	.	PUNCT
cana-4116	151	37	.	.	PUNCT
cana-4116	152	1	,	,	PUNCT
cana-4116	152	2	𝑚	𝑚	NOUN
cana-4116	152	3	;	;	PUNCT
cana-4116	152	4	𝑗	𝑗	NOUN
cana-4116	152	5	=	=	SYM
cana-4116	152	6	1,2	1,2	NUM
cana-4116	152	7	,	,	PUNCT
cana-4116	152	8	.	.	PUNCT
cana-4116	152	9	.	.	PUNCT
cana-4116	153	1	.	.	PUNCT
cana-4116	154	1	,	,	PUNCT
cana-4116	154	2	𝑛	𝑛	NOUN
cana-4116	154	3	;	;	PUNCT
cana-4116	154	4	𝑠	𝑠	NUM
cana-4116	154	5	,	,	PUNCT
cana-4116	154	6	𝑡	𝑡	X
cana-4116	154	7	=	=	SYM
cana-4116	154	8	1,2	1,2	NUM
cana-4116	154	9	,	,	PUNCT
cana-4116	154	10	.	.	PUNCT
cana-4116	154	11	.	.	PUNCT
cana-4116	155	1	.	.	PUNCT
cana-4116	156	1	,	,	PUNCT
cana-4116	156	2	𝑞	𝑞	PROPN
cana-4116	156	3	)	)	PUNCT
cana-4116	156	4	.	.	PUNCT
cana-4116	157	1	(	(	PUNCT
cana-4116	157	2	e4	e4	PROPN
cana-4116	157	3	)	)	PUNCT
cana-4116	157	4	𝑒(𝑑𝐸	𝑒(𝑑𝐸	PROPN
cana-4116	157	5	)	)	PUNCT
cana-4116	157	6	=	=	PUNCT
cana-4116	157	7	𝑒(𝑑𝐸	𝑒(𝑑𝐸	PROPN
cana-4116	157	8	𝑐	𝑐	PROPN
cana-4116	157	9	)	)	PUNCT
cana-4116	157	10	,	,	PUNCT
cana-4116	157	11	where	where	SCONJ
cana-4116	157	12	𝑑𝐸	𝑑𝐸	SCONJ
cana-4116	157	13	𝑐	𝑐	NOUN
cana-4116	157	14	represents	represent	VERB
cana-4116	157	15	compliment	compliment	NOUN
cana-4116	157	16	of	of	ADP
cana-4116	157	17	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	157	18	.	.	PUNCT
cana-4116	158	1	definition	definition	NOUN
cana-4116	158	2	2.7	2.7	NUM
cana-4116	158	3	(	(	PUNCT
cana-4116	158	4	wang	wang	PROPN
cana-4116	158	5	)	)	PUNCT
cana-4116	159	1	[	[	X
cana-4116	159	2	29	29	NUM
cana-4116	159	3	]	]	PUNCT
cana-4116	159	4	for	for	ADP
cana-4116	159	5	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	159	6	,	,	PUNCT
cana-4116	159	7	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	159	8	∈	∈	NOUN
cana-4116	159	9	𝐷𝐻𝐹𝐸𝑠(𝑢	𝐷𝐻𝐹𝐸𝑠(𝑢	NOUN
cana-4116	159	10	)	)	PUNCT
cana-4116	159	11	,	,	PUNCT
cana-4116	159	12	let	let	VERB
cana-4116	159	13	𝑑	𝑑	PRON
cana-4116	159	14	be	be	AUX
cana-4116	159	15	a	a	DET
cana-4116	159	16	mapping	mapping	NOUN
cana-4116	159	17	𝑑	𝑑	NOUN
cana-4116	159	18	:	:	PUNCT
cana-4116	159	19	𝐷𝐻𝐹𝐸(𝑢	𝐷𝐻𝐹𝐸(𝑢	ADJ
cana-4116	159	20	)	)	PUNCT
cana-4116	159	21	×	×	PROPN
cana-4116	159	22	𝐷𝐻𝐹𝐸(𝑢	𝐷𝐻𝐹𝐸(𝑢	NOUN
cana-4116	159	23	)	)	PUNCT
cana-4116	159	24	→	→	PUNCT
cana-4116	160	1	[	[	X
cana-4116	160	2	0,1	0,1	NUM
cana-4116	160	3	]	]	PUNCT
cana-4116	160	4	,	,	PUNCT
cana-4116	160	5	𝑑(𝑑𝐸	𝑑(𝑑𝐸	PROPN
cana-4116	160	6	,	,	PUNCT
cana-4116	160	7	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	160	8	)	)	PUNCT
cana-4116	160	9	is	be	AUX
cana-4116	160	10	a	a	DET
cana-4116	160	11	distance	distance	NOUN
cana-4116	160	12	measure	measure	NOUN
cana-4116	160	13	between	between	ADP
cana-4116	160	14	𝐷𝐻𝐹𝐸𝑠	𝐷𝐻𝐹𝐸𝑠	NOUN
cana-4116	160	15	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	160	16	and	and	CCONJ
cana-4116	160	17	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	160	18	,	,	PUNCT
cana-4116	160	19	if	if	SCONJ
cana-4116	160	20	𝑑(𝑑𝐸	𝑑(𝑑𝐸	PROPN
cana-4116	160	21	,	,	PUNCT
cana-4116	160	22	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	160	23	)	)	PUNCT
cana-4116	160	24	satisfies	satisfy	VERB
cana-4116	160	25	the	the	DET
cana-4116	160	26	following	follow	VERB
cana-4116	160	27	properties	property	NOUN
cana-4116	160	28	:	:	PUNCT
cana-4116	160	29	(	(	PUNCT
cana-4116	160	30	i	i	NOUN
cana-4116	160	31	)	)	PUNCT
cana-4116	160	32	0	0	NUM
cana-4116	161	1	≤	≤	NUM
cana-4116	161	2	𝑑(𝑑𝐸	𝑑(𝑑𝐸	PROPN
cana-4116	161	3	,	,	PUNCT
cana-4116	161	4	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	161	5	)	)	PUNCT
cana-4116	161	6	≤	≤	NOUN
cana-4116	161	7	0	0	NUM
cana-4116	161	8	;	;	PUNCT
cana-4116	161	9	(	(	PUNCT
cana-4116	161	10	ii	ii	NOUN
cana-4116	161	11	)	)	PUNCT
cana-4116	161	12	𝑑(𝑑𝐸	𝑑(𝑑𝐸	PROPN
cana-4116	161	13	,	,	PUNCT
cana-4116	161	14	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	161	15	)	)	PUNCT
cana-4116	161	16	=	=	SYM
cana-4116	161	17	0	0	PUNCT
cana-4116	162	1	if	if	SCONJ
cana-4116	162	2	and	and	CCONJ
cana-4116	162	3	only	only	ADV
cana-4116	162	4	if	if	SCONJ
cana-4116	162	5	𝑑𝐸	𝑑𝐸	NOUN
cana-4116	162	6	=	=	SYM
cana-4116	162	7	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	162	8	;	;	PUNCT
cana-4116	162	9	(	(	PUNCT
cana-4116	162	10	iii	iii	X
cana-4116	162	11	)	)	PUNCT
cana-4116	162	12	𝑑(𝑑𝐸	𝑑(𝑑𝐸	PROPN
cana-4116	162	13	,	,	PUNCT
cana-4116	162	14	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	162	15	)	)	PUNCT
cana-4116	162	16	=	=	SYM
cana-4116	163	1	𝑑(𝑓𝐸	𝑑(𝑓𝐸	ADJ
cana-4116	163	2	,	,	PUNCT
cana-4116	163	3	𝑑𝐸	𝑑𝐸	ADJ
cana-4116	163	4	)	)	PUNCT
cana-4116	163	5	.	.	PUNCT
cana-4116	164	1	2.2	2.2	NUM
cana-4116	164	2	some	some	DET
cana-4116	164	3	existing	exist	VERB
cana-4116	164	4	entropies	entropy	NOUN
cana-4116	164	5	for	for	ADP
cana-4116	164	6	dhfss	dhfss	NOUN
cana-4116	164	7	here	here	ADV
cana-4116	164	8	,	,	PUNCT
cana-4116	164	9	we	we	PRON
cana-4116	164	10	discussed	discuss	VERB
cana-4116	164	11	some	some	DET
cana-4116	164	12	distance	distance	NOUN
cana-4116	164	13	and	and	CCONJ
cana-4116	164	14	entropy	entropy	NOUN
cana-4116	164	15	measures	measure	NOUN
cana-4116	164	16	which	which	PRON
cana-4116	164	17	are	be	AUX
cana-4116	164	18	already	already	ADV
cana-4116	164	19	available	available	ADJ
cana-4116	164	20	in	in	ADP
cana-4116	164	21	literature	literature	NOUN
cana-4116	164	22	.	.	PUNCT
cana-4116	165	1	entropies	entropy	NOUN
cana-4116	165	2	of	of	ADP
cana-4116	165	3	dhfss	dhfss	NOUN
cana-4116	165	4	are	be	AUX
cana-4116	165	5	extensively	extensively	ADV
cana-4116	165	6	studied	study	VERB
cana-4116	165	7	,	,	PUNCT
cana-4116	165	8	for	for	ADP
cana-4116	165	9	instance	instance	NOUN
cana-4116	165	10	zhao	zhao	PROPN
cana-4116	165	11	and	and	CCONJ
cana-4116	165	12	xu	xu	PROPN
cana-4116	166	1	[	[	X
cana-4116	166	2	17	17	NUM
cana-4116	166	3	]	]	SYM
cana-4116	166	4	:	:	PUNCT
cana-4116	166	5	𝐸1(𝑑𝐸	𝐸1(𝑑𝐸	PROPN
cana-4116	166	6	)	)	PUNCT
cana-4116	166	7	=	=	SYM
cana-4116	166	8	1	1	NUM
cana-4116	166	9	𝑡	𝑡	PROPN
cana-4116	166	10	∑𝑡	∑𝑡	PROPN
cana-4116	166	11	𝑗=1	𝑗=1	PROPN
cana-4116	167	1	[	[	X
cana-4116	167	2	1	1	NUM
cana-4116	167	3	−	−	NUM
cana-4116	167	4	|ℎ1	|ℎ1	NOUN
cana-4116	167	5	𝜎(𝑗	𝜎(𝑗	NUM
cana-4116	167	6	)	)	PUNCT
cana-4116	168	1	+	+	ADJ
cana-4116	168	2	𝑘1	𝑘1	ADJ
cana-4116	168	3	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	168	4	)	)	PUNCT
cana-4116	168	5	|𝛼+|ℎ1	|𝛼+|ℎ1	ADJ
cana-4116	168	6	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	168	7	)	)	PUNCT
cana-4116	168	8	−𝑘1	−𝑘1	PROPN
cana-4116	168	9	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	168	10	)	)	PUNCT
cana-4116	168	11	|𝛼	|𝛼	NOUN
cana-4116	168	12	2	2	NUM
cana-4116	168	13	]	]	PUNCT
cana-4116	168	14	;	;	PUNCT
cana-4116	168	15	𝛼	𝛼	X
cana-4116	168	16	≥	≥	NOUN
cana-4116	168	17	0	0	NUM
cana-4116	168	18	.	.	PUNCT
cana-4116	169	1	(	(	PUNCT
cana-4116	169	2	1	1	X
cana-4116	169	3	)	)	PUNCT
cana-4116	169	4	𝐸2(𝑑𝐸	𝐸2(𝑑𝐸	X
cana-4116	169	5	)	)	PUNCT
cana-4116	170	1	=	=	SYM
cana-4116	170	2	1	1	NUM
cana-4116	170	3	𝑡	𝑡	PROPN
cana-4116	170	4	∑𝑡	∑𝑡	PROPN
cana-4116	170	5	𝑗=1	𝑗=1	PROPN
cana-4116	170	6	[	[	PUNCT
cana-4116	170	7	1−(|ℎ𝜎(𝑗)−𝑘𝜎(𝑗)|)(2−ℎ𝜎(𝑗)−𝑘𝜎(𝑗	1−(|ℎ𝜎(𝑗)−𝑘𝜎(𝑗)|)(2−ℎ𝜎(𝑗)−𝑘𝜎(𝑗	NUM
cana-4116	170	8	)	)	PUNCT
cana-4116	170	9	)	)	PUNCT
cana-4116	170	10	2	2	NUM
cana-4116	170	11	]	]	PUNCT
cana-4116	170	12	;	;	PUNCT
cana-4116	170	13	𝛼	𝛼	X
cana-4116	170	14	≥	≥	NOUN
cana-4116	170	15	0	0	NUM
cana-4116	170	16	.	.	PUNCT
cana-4116	171	1	(	(	PUNCT
cana-4116	171	2	2	2	X
cana-4116	171	3	)	)	PUNCT
cana-4116	171	4	𝐸3(𝑑𝐸	𝐸3(𝑑𝐸	NOUN
cana-4116	171	5	)	)	PUNCT
cana-4116	171	6	=	=	SYM
cana-4116	171	7	1	1	NUM
cana-4116	171	8	𝑡	𝑡	PROPN
cana-4116	171	9	∑𝑡	∑𝑡	PROPN
cana-4116	171	10	𝑗=1	𝑗=1	PROPN
cana-4116	172	1	[	[	X
cana-4116	172	2	1	1	NUM
cana-4116	172	3	−	−	PROPN
cana-4116	172	4	(	(	PUNCT
cana-4116	172	5	|ℎ𝜎(𝑗)−𝑘𝜎(𝑗)|)2(1−ℎ𝜎(𝑗)+𝑘𝜎(𝑗)|	|ℎ𝜎(𝑗)−𝑘𝜎(𝑗)|)2(1−ℎ𝜎(𝑗)+𝑘𝜎(𝑗)|	NUM
cana-4116	172	6	)	)	PUNCT
cana-4116	172	7	2	2	NUM
cana-4116	172	8	]	]	PUNCT
cana-4116	172	9	;	;	PUNCT
cana-4116	172	10	𝛼	𝛼	X
cana-4116	172	11	≥	≥	NOUN
cana-4116	172	12	0	0	NUM
cana-4116	172	13	.	.	PUNCT
cana-4116	172	14	(	(	PUNCT
cana-4116	172	15	3	3	X
cana-4116	172	16	)	)	PUNCT
cana-4116	172	17	communications	communication	NOUN
cana-4116	172	18	on	on	ADP
cana-4116	172	19	applied	apply	VERB
cana-4116	172	20	nonlinear	nonlinear	ADJ
cana-4116	172	21	analysis	analysis	NOUN
cana-4116	172	22	issn	issn	NOUN
cana-4116	172	23	:	:	PUNCT
cana-4116	172	24	1074	1074	NUM
cana-4116	172	25	-	-	PUNCT
cana-4116	172	26	133x	133x	NUM
cana-4116	172	27	vol	vol	NOUN
cana-4116	172	28	32	32	NUM
cana-4116	172	29	no	no	NOUN
cana-4116	172	30	.	.	PUNCT
cana-4116	173	1	9s	9s	NUM
cana-4116	173	2	(	(	PUNCT
cana-4116	173	3	2025	2025	NUM
cana-4116	173	4	)	)	PUNCT
cana-4116	173	5	1094	1094	NUM
cana-4116	173	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	174	1	2.2.1	2.2.1	NUM
cana-4116	174	2	existing	exist	VERB
cana-4116	174	3	distance	distance	NOUN
cana-4116	174	4	based	base	VERB
cana-4116	174	5	entropy	entropy	NOUN
cana-4116	174	6	for	for	ADP
cana-4116	174	7	dhfss	dhfss	PROPN
cana-4116	174	8	zhang	zhang	PROPN
cana-4116	175	1	[	[	X
cana-4116	175	2	21	21	NUM
cana-4116	175	3	]	]	SYM
cana-4116	175	4	defined	define	VERB
cana-4116	175	5	distance	distance	NOUN
cana-4116	175	6	based	base	VERB
cana-4116	175	7	entropy	entropy	NOUN
cana-4116	175	8	for	for	ADP
cana-4116	175	9	dhfes	dhfe	NOUN
cana-4116	175	10	as	as	ADP
cana-4116	175	11	follow	follow	NOUN
cana-4116	175	12	:	:	PUNCT
cana-4116	175	13	𝐸4(𝑑𝐸	𝐸4(𝑑𝐸	NOUN
cana-4116	175	14	,	,	PUNCT
cana-4116	175	15	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	175	16	)	)	PUNCT
cana-4116	175	17	=	=	SYM
cana-4116	175	18	1	1	NUM
cana-4116	175	19	−	−	NOUN
cana-4116	175	20	[	[	PUNCT
cana-4116	175	21	0.5	0.5	NUM
cana-4116	175	22	𝑚+𝑝	𝑚+𝑝	NUM
cana-4116	175	23	(	(	PUNCT
cana-4116	175	24	∑𝑚	∑𝑚	PROPN
cana-4116	175	25	𝑖=1	𝑖=1	PROPN
cana-4116	175	26	min	min	PROPN
cana-4116	175	27	𝑗	𝑗	PROPN
cana-4116	176	1	|ℎ𝑖	|ℎ𝑖	NUM
cana-4116	176	2	1	1	NUM
cana-4116	176	3	−	−	NOUN
cana-4116	177	1	ℎ𝑗	ℎ𝑗	PROPN
cana-4116	177	2	2|	2|	NUM
cana-4116	177	3	𝛼	𝛼	PRON
cana-4116	177	4	2−𝛽	2−𝛽	NUM
cana-4116	178	1	+	+	CCONJ
cana-4116	178	2	∑𝑝	∑𝑝	PROPN
cana-4116	178	3	𝑗=1	𝑗=1	PROPN
cana-4116	178	4	min	min	PROPN
cana-4116	178	5	𝑖	𝑖	SYM
cana-4116	178	6	|ℎ𝑗	|ℎ𝑗	PROPN
cana-4116	178	7	1	1	NUM
cana-4116	178	8	−	−	NOUN
cana-4116	178	9	ℎ𝑖	ℎ𝑖	NOUN
cana-4116	178	10	2|	2|	NUM
cana-4116	178	11	𝛼	𝛼	PRON
cana-4116	178	12	2−𝛽	2−𝛽	NUM
cana-4116	178	13	)	)	PUNCT
cana-4116	179	1	+	+	CCONJ
cana-4116	179	2	0.5	0.5	NUM
cana-4116	179	3	𝑛+𝑝	𝑛+𝑝	NUM
cana-4116	179	4	(	(	PUNCT
cana-4116	179	5	∑𝑛	∑𝑛	PROPN
cana-4116	179	6	𝑖=1	𝑖=1	PROPN
cana-4116	179	7	min	min	NOUN
cana-4116	179	8	𝑗	𝑗	INTJ
cana-4116	179	9	|𝑘𝑖	|𝑘𝑖	NUM
cana-4116	179	10	1	1	NUM
cana-4116	179	11	−	−	NOUN
cana-4116	179	12	𝑘𝑗	𝑘𝑗	INTJ
cana-4116	179	13	2|	2|	NUM
cana-4116	179	14	𝛼	𝛼	PRON
cana-4116	179	15	2−𝛽	2−𝛽	NUM
cana-4116	179	16	+	+	CCONJ
cana-4116	179	17	∑𝑞	∑𝑞	PROPN
cana-4116	179	18	𝑗=1	𝑗=1	PROPN
cana-4116	179	19	min	min	NOUN
cana-4116	179	20	𝑖	𝑖	SYM
cana-4116	179	21	|𝑘𝑗	|𝑘𝑗	NOUN
cana-4116	179	22	1	1	NUM
cana-4116	179	23	−	−	NOUN
cana-4116	179	24	𝑘𝑖	𝑘𝑖	ADP
cana-4116	179	25	2|	2|	NUM
cana-4116	179	26	𝛼	𝛼	PRON
cana-4116	179	27	2−𝛽	2−𝛽	NUM
cana-4116	179	28	)	)	PUNCT
cana-4116	179	29	]	]	PUNCT
cana-4116	179	30	2−𝛽	2−𝛽	NUM
cana-4116	180	1	𝛼	𝛼	X
cana-4116	180	2	(	(	PUNCT
cana-4116	180	3	4	4	NUM
cana-4116	180	4	)	)	PUNCT
cana-4116	180	5	2.3	2.3	NUM
cana-4116	180	6	knowledge	knowledge	NOUN
cana-4116	180	7	measure	measure	NOUN
cana-4116	180	8	of	of	ADP
cana-4116	180	9	dhfs	dhfs	NOUN
cana-4116	180	10	we	we	PRON
cana-4116	180	11	present	present	VERB
cana-4116	180	12	the	the	DET
cana-4116	180	13	notion	notion	NOUN
cana-4116	180	14	of	of	ADP
cana-4116	180	15	the	the	DET
cana-4116	180	16	dhf	dhf	NOUN
cana-4116	180	17	set	set	VERB
cana-4116	180	18	knowledge	knowledge	NOUN
cana-4116	180	19	measure	measure	NOUN
cana-4116	180	20	in	in	ADP
cana-4116	180	21	this	this	DET
cana-4116	180	22	section	section	NOUN
cana-4116	180	23	.	.	PUNCT
cana-4116	181	1	definition	definition	NOUN
cana-4116	181	2	2.8	2.8	NUM
cana-4116	181	3	let	let	VERB
cana-4116	181	4	𝑑𝐸	𝑑𝐸	ADV
cana-4116	181	5	=	=	SYM
cana-4116	181	6	(	(	PUNCT
cana-4116	181	7	{	{	PUNCT
cana-4116	181	8	ℎ1	ℎ1	PROPN
cana-4116	181	9	1	1	NUM
cana-4116	181	10	,	,	PUNCT
cana-4116	181	11	ℎ1	ℎ1	PROPN
cana-4116	181	12	2	2	NUM
cana-4116	181	13	,	,	PUNCT
cana-4116	181	14	.	.	PUNCT
cana-4116	181	15	.	.	PUNCT
cana-4116	181	16	.	.	PUNCT
cana-4116	182	1	,	,	PUNCT
cana-4116	182	2	ℎ1	ℎ1	PROPN
cana-4116	182	3	𝑚	𝑚	PROPN
cana-4116	182	4	}	}	PUNCT
cana-4116	182	5	,	,	PUNCT
cana-4116	182	6	{	{	PUNCT
cana-4116	182	7	𝑘1	𝑘1	PROPN
cana-4116	182	8	1	1	NUM
cana-4116	182	9	,	,	PUNCT
cana-4116	182	10	𝑘1	𝑘1	NOUN
cana-4116	182	11	2	2	NUM
cana-4116	182	12	,	,	PUNCT
cana-4116	182	13	.	.	PUNCT
cana-4116	182	14	.	.	PUNCT
cana-4116	182	15	.	.	PUNCT
cana-4116	183	1	,	,	PUNCT
cana-4116	183	2	𝑘1	𝑘1	PROPN
cana-4116	183	3	𝑛	𝑛	PROPN
cana-4116	183	4	}	}	PUNCT
cana-4116	183	5	)	)	PUNCT
cana-4116	184	1	and	and	CCONJ
cana-4116	184	2	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	184	3	=	=	SYM
cana-4116	184	4	(	(	PUNCT
cana-4116	184	5	{	{	PUNCT
cana-4116	184	6	ℎ2	ℎ2	NOUN
cana-4116	184	7	1	1	NUM
cana-4116	184	8	,	,	PUNCT
cana-4116	184	9	ℎ2	ℎ2	ADJ
cana-4116	184	10	2	2	NUM
cana-4116	184	11	,	,	PUNCT
cana-4116	184	12	.	.	PUNCT
cana-4116	184	13	.	.	PUNCT
cana-4116	184	14	.	.	PUNCT
cana-4116	185	1	,	,	PUNCT
cana-4116	185	2	ℎ2	ℎ2	PROPN
cana-4116	185	3	𝑝	𝑝	NOUN
cana-4116	185	4	}	}	PUNCT
cana-4116	185	5	,	,	PUNCT
cana-4116	185	6	{	{	PUNCT
cana-4116	185	7	𝑘2	𝑘2	PROPN
cana-4116	185	8	1	1	NUM
cana-4116	185	9	,	,	PUNCT
cana-4116	185	10	𝑘2	𝑘2	PROPN
cana-4116	185	11	2	2	NUM
cana-4116	185	12	,	,	PUNCT
cana-4116	185	13	.	.	PUNCT
cana-4116	185	14	.	.	PUNCT
cana-4116	186	1	.	.	PUNCT
cana-4116	187	1	,	,	PUNCT
cana-4116	187	2	𝑘2	𝑘2	PROPN
cana-4116	187	3	𝑞	𝑞	PROPN
cana-4116	187	4	}	}	PUNCT
cana-4116	187	5	)	)	PUNCT
cana-4116	187	6	be	be	VERB
cana-4116	187	7	two	two	NUM
cana-4116	187	8	dhfes	dhfe	NOUN
cana-4116	187	9	.	.	PUNCT
cana-4116	188	1	if	if	SCONJ
cana-4116	188	2	knowledge	knowledge	NOUN
cana-4116	188	3	measure	measure	NOUN
cana-4116	188	4	𝑁𝑀	𝑁𝑀	PROPN
cana-4116	188	5	fulfills	fulfill	VERB
cana-4116	188	6	the	the	DET
cana-4116	188	7	following	follow	VERB
cana-4116	188	8	axiomatic	axiomatic	ADJ
cana-4116	188	9	conditions	condition	NOUN
cana-4116	188	10	,	,	PUNCT
cana-4116	188	11	it	it	PRON
cana-4116	188	12	is	be	AUX
cana-4116	188	13	a	a	DET
cana-4116	188	14	real	real	ADV
cana-4116	188	15	-	-	PUNCT
cana-4116	188	16	valued	value	VERB
cana-4116	188	17	function	function	NOUN
cana-4116	188	18	𝑁𝑀	𝑁𝑀	PROPN
cana-4116	188	19	:	:	PUNCT
cana-4116	188	20	𝐷𝐻𝐹𝐸	𝐷𝐻𝐹𝐸	NOUN
cana-4116	188	21	→	→	PUNCT
cana-4116	189	1	[	[	X
cana-4116	189	2	0,1	0,1	NUM
cana-4116	189	3	]	]	PUNCT
cana-4116	189	4	(	(	PUNCT
cana-4116	189	5	𝑁1	𝑁1	PROPN
cana-4116	189	6	)	)	PUNCT
cana-4116	189	7	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	189	8	)	)	PUNCT
cana-4116	190	1	=	=	SYM
cana-4116	190	2	1	1	NUM
cana-4116	190	3	iff	iff	PROPN
cana-4116	190	4	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	190	5	=	=	SYM
cana-4116	190	6	(	(	PUNCT
cana-4116	190	7	{	{	PUNCT
cana-4116	190	8	1	1	NUM
cana-4116	190	9	}	}	PUNCT
cana-4116	190	10	,	,	PUNCT
cana-4116	190	11	{	{	PUNCT
cana-4116	190	12	0	0	NUM
cana-4116	190	13	}	}	PUNCT
cana-4116	190	14	)	)	PUNCT
cana-4116	190	15	or	or	CCONJ
cana-4116	190	16	𝑑𝐸	𝑑𝐸	ADV
cana-4116	190	17	=	=	SYM
cana-4116	190	18	(	(	PUNCT
cana-4116	190	19	{	{	PUNCT
cana-4116	190	20	0	0	NUM
cana-4116	190	21	}	}	PUNCT
cana-4116	190	22	,	,	PUNCT
cana-4116	190	23	{	{	PUNCT
cana-4116	190	24	1	1	NUM
cana-4116	190	25	}	}	PUNCT
cana-4116	190	26	)	)	PUNCT
cana-4116	190	27	.	.	PUNCT
cana-4116	191	1	(	(	PUNCT
cana-4116	191	2	𝑁2	𝑁2	NOUN
cana-4116	191	3	)	)	PUNCT
cana-4116	191	4	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	191	5	)	)	PUNCT
cana-4116	192	1	=	=	SYM
cana-4116	192	2	0	0	NUM
cana-4116	192	3	iff	iff	PROPN
cana-4116	192	4	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	192	5	=	=	SYM
cana-4116	192	6	(	(	PUNCT
cana-4116	192	7	{	{	PUNCT
cana-4116	192	8	0	0	NUM
cana-4116	192	9	}	}	PUNCT
cana-4116	192	10	,	,	PUNCT
cana-4116	192	11	{	{	PUNCT
cana-4116	192	12	0	0	NUM
cana-4116	192	13	}	}	PUNCT
cana-4116	192	14	)	)	PUNCT
cana-4116	192	15	(	(	PUNCT
cana-4116	192	16	𝑁3	𝑁3	X
cana-4116	192	17	)	)	PUNCT
cana-4116	192	18	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	192	19	)	)	PUNCT
cana-4116	192	20	≤	≤	NOUN
cana-4116	192	21	𝑁𝑀(𝑓𝐸	𝑁𝑀(𝑓𝐸	NUM
cana-4116	192	22	)	)	PUNCT
cana-4116	192	23	,	,	PUNCT
cana-4116	192	24	if	if	SCONJ
cana-4116	192	25	𝑚𝑎𝑥𝑖ℎ1	𝑚𝑎𝑥𝑖ℎ1	NOUN
cana-4116	192	26	𝑖	𝑖	SYM
cana-4116	192	27	≤	≤	PUNCT
cana-4116	192	28	𝑚𝑖𝑛𝑠ℎ2	𝑚𝑖𝑛𝑠ℎ2	X
cana-4116	192	29	𝑠	𝑠	X
cana-4116	192	30	,	,	PUNCT
cana-4116	192	31	𝑚𝑎𝑥𝑗𝑘1	𝑚𝑎𝑥𝑗𝑘1	NOUN
cana-4116	193	1	𝑗	𝑗	PRON
cana-4116	193	2	≤	≤	ADJ
cana-4116	193	3	𝑚𝑖𝑛𝑡𝑘2	𝑚𝑖𝑛𝑡𝑘2	NOUN
cana-4116	193	4	𝑡	𝑡	X
cana-4116	193	5	for	for	ADP
cana-4116	193	6	𝑚𝑎𝑥𝑠ℎ2	𝑚𝑎𝑥𝑠ℎ2	NOUN
cana-4116	193	7	𝑠	𝑠	ADP
cana-4116	193	8	≤	≤	NUM
cana-4116	193	9	𝑚𝑖𝑛𝑡𝑘2	𝑚𝑖𝑛𝑡𝑘2	NOUN
cana-4116	193	10	𝑡	𝑡	NOUN
cana-4116	193	11	or	or	CCONJ
cana-4116	193	12	𝑚𝑖𝑛𝑖ℎ1	𝑚𝑖𝑛𝑖ℎ1	VERB
cana-4116	193	13	𝑖	𝑖	SYM
cana-4116	193	14	≤	≤	ADJ
cana-4116	193	15	𝑚𝑎𝑥𝑠ℎ2	𝑚𝑎𝑥𝑠ℎ2	NOUN
cana-4116	193	16	𝑠	𝑠	X
cana-4116	193	17	,	,	PUNCT
cana-4116	193	18	𝑚𝑎𝑥𝑗𝑔1	𝑚𝑎𝑥𝑗𝑔1	NOUN
cana-4116	193	19	𝑗	𝑗	PRON
cana-4116	193	20	≤	≤	ADJ
cana-4116	193	21	𝑚𝑖𝑛𝑡𝑔2	𝑚𝑖𝑛𝑡𝑔2	NOUN
cana-4116	193	22	𝑡	𝑡	PROPN
cana-4116	193	23	for	for	ADP
cana-4116	193	24	𝑚𝑖𝑛𝑠ℎ2	𝑚𝑖𝑛𝑠ℎ2	NOUN
cana-4116	193	25	𝑠	𝑠	ADP
cana-4116	193	26	≥	≥	NOUN
cana-4116	193	27	𝑚𝑎𝑥𝑡𝑔2	𝑚𝑎𝑥𝑡𝑔2	NOUN
cana-4116	193	28	𝑡	𝑡	PROPN
cana-4116	193	29	,	,	PUNCT
cana-4116	193	30	(	(	PUNCT
cana-4116	193	31	𝑖	𝑖	SYM
cana-4116	193	32	=	=	SYM
cana-4116	193	33	1,2	1,2	NUM
cana-4116	193	34	,	,	PUNCT
cana-4116	193	35	.	.	PUNCT
cana-4116	193	36	.	.	PUNCT
cana-4116	193	37	.	.	PUNCT
cana-4116	194	1	,	,	PUNCT
cana-4116	194	2	𝑚	𝑚	NOUN
cana-4116	194	3	;	;	PUNCT
cana-4116	194	4	𝑗	𝑗	NOUN
cana-4116	194	5	=	=	SYM
cana-4116	194	6	1,2	1,2	NUM
cana-4116	194	7	,	,	PUNCT
cana-4116	194	8	.	.	PUNCT
cana-4116	194	9	.	.	PUNCT
cana-4116	195	1	.	.	PUNCT
cana-4116	196	1	,	,	PUNCT
cana-4116	196	2	𝑛	𝑛	NOUN
cana-4116	196	3	;	;	PUNCT
cana-4116	196	4	𝑠	𝑠	NUM
cana-4116	196	5	,	,	PUNCT
cana-4116	196	6	𝑡	𝑡	X
cana-4116	196	7	=	=	SYM
cana-4116	196	8	1,2	1,2	NUM
cana-4116	196	9	,	,	PUNCT
cana-4116	196	10	.	.	PUNCT
cana-4116	196	11	.	.	PUNCT
cana-4116	197	1	.	.	PUNCT
cana-4116	198	1	,	,	PUNCT
cana-4116	198	2	𝑞	𝑞	PROPN
cana-4116	198	3	)	)	PUNCT
cana-4116	198	4	.	.	PUNCT
cana-4116	199	1	(	(	PUNCT
cana-4116	199	2	𝑁4)𝑁𝑀(𝑑𝐸	𝑁4)𝑁𝑀(𝑑𝐸	PROPN
cana-4116	199	3	)	)	PUNCT
cana-4116	199	4	=	=	SYM
cana-4116	199	5	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	199	6	𝑐	𝑐	NOUN
cana-4116	199	7	)	)	PUNCT
cana-4116	199	8	,	,	PUNCT
cana-4116	199	9	where	where	SCONJ
cana-4116	199	10	𝑑𝐸	𝑑𝐸	SCONJ
cana-4116	199	11	𝑐	𝑐	NOUN
cana-4116	199	12	represents	represent	VERB
cana-4116	199	13	compliment	compliment	NOUN
cana-4116	199	14	of	of	ADP
cana-4116	199	15	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	199	16	.	.	PUNCT
cana-4116	200	1	definition	definition	NOUN
cana-4116	200	2	2.9	2.9	NUM
cana-4116	200	3	attribute	attribute	NOUN
cana-4116	200	4	weights	weight	NOUN
cana-4116	200	5	computation	computation	NOUN
cana-4116	200	6	in	in	ADP
cana-4116	200	7	modeling	modeling	NOUN
cana-4116	200	8	,	,	PUNCT
cana-4116	200	9	a	a	DET
cana-4116	200	10	multi	multi	ADJ
cana-4116	200	11	-	-	ADJ
cana-4116	200	12	attribute	attribute	NOUN
cana-4116	200	13	decision	decision	NOUN
cana-4116	200	14	-	-	PUNCT
cana-4116	200	15	making	make	VERB
cana-4116	200	16	issue	issue	NOUN
cana-4116	200	17	,	,	PUNCT
cana-4116	200	18	attributes	attribute	VERB
cana-4116	200	19	weights	weight	NOUN
cana-4116	200	20	plays	play	VERB
cana-4116	200	21	a	a	DET
cana-4116	200	22	vital	vital	ADJ
cana-4116	200	23	role	role	NOUN
cana-4116	200	24	.	.	PUNCT
cana-4116	201	1	chen	chen	PROPN
cana-4116	201	2	and	and	CCONJ
cana-4116	201	3	li	li	PROPN
cana-4116	202	1	[	[	X
cana-4116	202	2	29	29	NUM
cana-4116	202	3	]	]	PUNCT
cana-4116	202	4	provided	provide	VERB
cana-4116	202	5	a	a	DET
cana-4116	202	6	method	method	NOUN
cana-4116	202	7	to	to	PART
cana-4116	202	8	find	find	VERB
cana-4116	202	9	out	out	ADP
cana-4116	202	10	the	the	DET
cana-4116	202	11	weight	weight	NOUN
cana-4116	202	12	.	.	PUNCT
cana-4116	203	1	𝑤𝑗	𝑤𝑗	PROPN
cana-4116	203	2	=	=	PUNCT
cana-4116	203	3	𝑁𝑀(𝑟𝑖𝑗	𝑁𝑀(𝑟𝑖𝑗	PROPN
cana-4116	203	4	)	)	PUNCT
cana-4116	204	1	∑𝑚	∑𝑚	PROPN
cana-4116	204	2	𝑖=1	𝑖=1	PROPN
cana-4116	204	3	𝑁𝑀(𝑟𝑖𝑗	𝑁𝑀(𝑟𝑖𝑗	PUNCT
cana-4116	204	4	)	)	PUNCT
cana-4116	204	5	set	set	VERB
cana-4116	204	6	𝑤	𝑤	ADP
cana-4116	204	7	=	=	SYM
cana-4116	204	8	{	{	PUNCT
cana-4116	204	9	𝑤1	𝑤1	VERB
cana-4116	204	10	,	,	PUNCT
cana-4116	204	11	𝑤2	𝑤2	NOUN
cana-4116	204	12	,	,	PUNCT
cana-4116	204	13	.	.	PUNCT
cana-4116	204	14	.	.	PUNCT
cana-4116	205	1	.	.	PUNCT
cana-4116	206	1	,	,	PUNCT
cana-4116	206	2	𝑤𝑇	𝑤𝑇	NOUN
cana-4116	206	3	}	}	PUNCT
cana-4116	206	4	is	be	AUX
cana-4116	206	5	said	say	VERB
cana-4116	206	6	to	to	PART
cana-4116	206	7	be	be	AUX
cana-4116	206	8	weight	weight	NOUN
cana-4116	206	9	of	of	ADP
cana-4116	206	10	attributes	attribute	NOUN
cana-4116	206	11	if	if	SCONJ
cana-4116	206	12	𝑤𝑗	𝑤𝑗	ADP
cana-4116	206	13	≥	≥	NOUN
cana-4116	206	14	0	0	NUM
cana-4116	206	15	and	and	CCONJ
cana-4116	206	16	∑𝑇	∑𝑇	PROPN
cana-4116	206	17	𝑗=1	𝑗=1	PROPN
cana-4116	206	18	𝑤𝑗	𝑤𝑗	ADP
cana-4116	206	19	=	=	SYM
cana-4116	206	20	1	1	NUM
cana-4116	206	21	3	3	NUM
cana-4116	206	22	proposed	propose	VERB
cana-4116	206	23	knowledge	knowledge	NOUN
cana-4116	206	24	measure	measure	NOUN
cana-4116	206	25	for	for	ADP
cana-4116	206	26	dhfss	dhfss	NOUN
cana-4116	206	27	we	we	PRON
cana-4116	206	28	propose	propose	VERB
cana-4116	206	29	a	a	DET
cana-4116	206	30	dhfknowledge	dhfknowledge	NOUN
cana-4116	206	31	measure	measure	NOUN
cana-4116	206	32	that	that	PRON
cana-4116	206	33	is	be	AUX
cana-4116	206	34	described	describe	VERB
cana-4116	206	35	as	as	ADP
cana-4116	206	36	:	:	PUNCT
cana-4116	206	37	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	206	38	)	)	PUNCT
cana-4116	207	1	=	=	NOUN
cana-4116	208	1	[	[	X
cana-4116	208	2	∑𝑛	∑𝑛	ADJ
cana-4116	208	3	𝑖=1	𝑖=1	PROPN
cana-4116	208	4	(	(	PUNCT
cana-4116	208	5	1	1	NUM
cana-4116	208	6	𝑡	𝑡	PROPN
cana-4116	208	7	∑𝑡	∑𝑡	PROPN
cana-4116	208	8	𝑗=1	𝑗=1	PROPN
cana-4116	208	9	|ℎ𝜎(𝑗)(𝑢𝑖	|ℎ𝜎(𝑗)(𝑢𝑖	ADV
cana-4116	208	10	)	)	PUNCT
cana-4116	208	11	−	−	PROPN
cana-4116	209	1	𝑘𝜎(𝑗)(𝑢𝑖)|	𝑘𝜎(𝑗)(𝑢𝑖)|	NOUN
cana-4116	209	2	𝛼	𝛼	PRON
cana-4116	209	3	2−𝛽	2−𝛽	NUM
cana-4116	209	4	)	)	PUNCT
cana-4116	209	5	]	]	PUNCT
cana-4116	210	1	2−𝛽	2−𝛽	NUM
cana-4116	210	2	𝛼	𝛼	X
cana-4116	210	3	,	,	PUNCT
cana-4116	210	4	𝛼	𝛼	X
cana-4116	210	5	>	>	X
cana-4116	210	6	0,0	0,0	NUM
cana-4116	210	7	<	<	X
cana-4116	210	8	𝛽	𝛽	X
cana-4116	210	9	<	<	X
cana-4116	210	10	2	2	NUM
cana-4116	210	11	.	.	PUNCT
cana-4116	210	12	(	(	PUNCT
cana-4116	210	13	5	5	X
cana-4116	210	14	)	)	PUNCT
cana-4116	210	15	we	we	PRON
cana-4116	210	16	now	now	ADV
cana-4116	210	17	assess	assess	VERB
cana-4116	210	18	the	the	DET
cana-4116	210	19	validity	validity	NOUN
cana-4116	210	20	of	of	ADP
cana-4116	210	21	the	the	DET
cana-4116	210	22	proposed	propose	VERB
cana-4116	210	23	measure	measure	NOUN
cana-4116	210	24	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	210	25	)	)	PUNCT
cana-4116	210	26	.	.	PUNCT
cana-4116	211	1	theorem	theorem	VERB
cana-4116	211	2	1	1	NUM
cana-4116	211	3	the	the	DET
cana-4116	211	4	dhf	dhf	NOUN
cana-4116	211	5	knowledge	knowledge	NOUN
cana-4116	211	6	measure	measure	NOUN
cana-4116	211	7	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	211	8	)	)	PUNCT
cana-4116	211	9	,	,	PUNCT
cana-4116	211	10	as	as	SCONJ
cana-4116	211	11	stated	state	VERB
cana-4116	211	12	in	in	ADP
cana-4116	211	13	eq	eq	ADP
cana-4116	211	14	.	.	PUNCT
cana-4116	212	1	(	(	PUNCT
cana-4116	212	2	5	5	NUM
cana-4116	212	3	)	)	PUNCT
cana-4116	212	4	is	be	AUX
cana-4116	212	5	valid	valid	ADJ
cana-4116	212	6	.	.	PUNCT
cana-4116	213	1	proof	proof	NOUN
cana-4116	213	2	(	(	PUNCT
cana-4116	213	3	n1	n1	NOUN
cana-4116	213	4	)	)	PUNCT
cana-4116	213	5	suppose	suppose	VERB
cana-4116	213	6	that	that	SCONJ
cana-4116	213	7	𝑑𝐸	𝑑𝐸	ADV
cana-4116	213	8	=	=	SYM
cana-4116	213	9	(	(	PUNCT
cana-4116	213	10	{	{	PUNCT
cana-4116	213	11	1	1	NUM
cana-4116	213	12	}	}	PUNCT
cana-4116	213	13	,	,	PUNCT
cana-4116	213	14	{	{	PUNCT
cana-4116	213	15	0	0	NUM
cana-4116	213	16	}	}	PUNCT
cana-4116	213	17	)	)	PUNCT
cana-4116	213	18	or	or	CCONJ
cana-4116	213	19	𝑑𝐸	𝑑𝐸	ADV
cana-4116	213	20	=	=	SYM
cana-4116	213	21	(	(	PUNCT
cana-4116	213	22	{	{	PUNCT
cana-4116	213	23	0	0	NUM
cana-4116	213	24	}	}	PUNCT
cana-4116	213	25	,	,	PUNCT
cana-4116	213	26	{	{	PUNCT
cana-4116	213	27	1	1	NUM
cana-4116	213	28	}	}	PUNCT
cana-4116	213	29	)	)	PUNCT
cana-4116	213	30	,	,	PUNCT
cana-4116	213	31	we	we	PRON
cana-4116	213	32	have	have	VERB
cana-4116	213	33	,	,	PUNCT
cana-4116	213	34	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	X
cana-4116	213	35	)	)	PUNCT
cana-4116	213	36	=	=	SYM
cana-4116	214	1	1	1	X
cana-4116	214	2	.	.	PUNCT
cana-4116	214	3	now	now	ADV
cana-4116	214	4	,	,	PUNCT
cana-4116	214	5	suppose	suppose	VERB
cana-4116	214	6	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	214	7	)	)	PUNCT
cana-4116	214	8	=	=	SYM
cana-4116	214	9	1	1	NUM
cana-4116	214	10	,	,	PUNCT
cana-4116	214	11	we	we	PRON
cana-4116	214	12	have	have	VERB
cana-4116	214	13	(	(	PUNCT
cana-4116	214	14	1	1	NUM
cana-4116	214	15	𝑡	𝑡	PROPN
cana-4116	214	16	∑𝑡	∑𝑡	PROPN
cana-4116	214	17	𝑗=1	𝑗=1	PROPN
cana-4116	214	18	|ℎ𝜎(𝑗)(𝑢𝑖	|ℎ𝜎(𝑗)(𝑢𝑖	ADV
cana-4116	214	19	)	)	PUNCT
cana-4116	215	1	−	−	PROPN
cana-4116	216	1	𝑘𝜎(𝑗)(𝑢𝑖)|	𝑘𝜎(𝑗)(𝑢𝑖)|	NOUN
cana-4116	216	2	𝛼	𝛼	PRON
cana-4116	216	3	2−𝛽	2−𝛽	NUM
cana-4116	216	4	)	)	PUNCT
cana-4116	216	5	2−𝛽	2−𝛽	NUM
cana-4116	217	1	𝛼	𝛼	NOUN
cana-4116	217	2	=	=	SYM
cana-4116	217	3	1	1	NUM
cana-4116	217	4	communications	communication	NOUN
cana-4116	217	5	on	on	ADP
cana-4116	217	6	applied	apply	VERB
cana-4116	217	7	nonlinear	nonlinear	ADJ
cana-4116	217	8	analysis	analysis	NOUN
cana-4116	217	9	issn	issn	NOUN
cana-4116	217	10	:	:	PUNCT
cana-4116	217	11	1074	1074	NUM
cana-4116	217	12	-	-	PUNCT
cana-4116	217	13	133x	133x	NUM
cana-4116	217	14	vol	vol	NOUN
cana-4116	217	15	32	32	NUM
cana-4116	217	16	no	no	NOUN
cana-4116	217	17	.	.	PUNCT
cana-4116	218	1	9s	9s	NUM
cana-4116	218	2	(	(	PUNCT
cana-4116	218	3	2025	2025	NUM
cana-4116	218	4	)	)	PUNCT
cana-4116	218	5	1095	1095	NUM
cana-4116	218	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	219	1	this	this	PRON
cana-4116	219	2	is	be	AUX
cana-4116	219	3	possible	possible	ADJ
cana-4116	219	4	only	only	ADV
cana-4116	219	5	if	if	SCONJ
cana-4116	219	6	𝑑𝐸	𝑑𝐸	NOUN
cana-4116	219	7	=	=	SYM
cana-4116	219	8	(	(	PUNCT
cana-4116	219	9	{	{	PUNCT
cana-4116	219	10	1	1	NUM
cana-4116	219	11	}	}	PUNCT
cana-4116	219	12	,	,	PUNCT
cana-4116	219	13	{	{	PUNCT
cana-4116	219	14	0	0	NUM
cana-4116	219	15	}	}	PUNCT
cana-4116	219	16	)	)	PUNCT
cana-4116	220	1	or	or	CCONJ
cana-4116	220	2	𝑑𝐸	𝑑𝐸	ADV
cana-4116	220	3	=	=	SYM
cana-4116	220	4	(	(	PUNCT
cana-4116	220	5	{	{	PUNCT
cana-4116	220	6	0	0	NUM
cana-4116	220	7	}	}	PUNCT
cana-4116	220	8	,	,	PUNCT
cana-4116	220	9	{	{	PUNCT
cana-4116	220	10	1	1	NUM
cana-4116	220	11	}	}	PUNCT
cana-4116	220	12	)	)	PUNCT
cana-4116	220	13	.	.	PUNCT
cana-4116	221	1	(	(	PUNCT
cana-4116	221	2	n2	n2	NOUN
cana-4116	221	3	)	)	PUNCT
cana-4116	221	4	suppose	suppose	VERB
cana-4116	221	5	ℎ1	ℎ1	PROPN
cana-4116	221	6	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	221	7	)	)	PUNCT
cana-4116	221	8	=	=	SYM
cana-4116	221	9	𝑘1	𝑘1	PROPN
cana-4116	221	10	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	221	11	)	)	PUNCT
cana-4116	221	12	,	,	PUNCT
cana-4116	221	13	we	we	PRON
cana-4116	221	14	have	have	VERB
cana-4116	221	15	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	NOUN
cana-4116	221	16	)	)	PUNCT
cana-4116	222	1	=	=	SYM
cana-4116	222	2	0	0	X
cana-4116	222	3	.	.	PUNCT
cana-4116	223	1	conversely	conversely	ADV
cana-4116	223	2	,	,	PUNCT
cana-4116	223	3	suppose	suppose	VERB
cana-4116	223	4	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	223	5	)	)	PUNCT
cana-4116	223	6	=	=	SYM
cana-4116	223	7	0	0	NUM
cana-4116	223	8	,	,	PUNCT
cana-4116	223	9	we	we	PRON
cana-4116	223	10	have	have	VERB
cana-4116	223	11	(	(	PUNCT
cana-4116	223	12	1	1	NUM
cana-4116	223	13	𝑡	𝑡	PROPN
cana-4116	223	14	∑𝑡	∑𝑡	PROPN
cana-4116	223	15	𝑗=1	𝑗=1	PROPN
cana-4116	223	16	|ℎ𝜎(𝑗)(𝑢𝑖	|ℎ𝜎(𝑗)(𝑢𝑖	ADV
cana-4116	223	17	)	)	PUNCT
cana-4116	223	18	−	−	PROPN
cana-4116	224	1	𝑘𝜎(𝑗)(𝑢𝑖)|	𝑘𝜎(𝑗)(𝑢𝑖)|	NOUN
cana-4116	224	2	𝛼	𝛼	PRON
cana-4116	224	3	2−𝛽	2−𝛽	NUM
cana-4116	224	4	)	)	PUNCT
cana-4116	224	5	2−𝛽	2−𝛽	NUM
cana-4116	225	1	𝛼	𝛼	NOUN
cana-4116	225	2	=	=	SYM
cana-4116	225	3	0	0	NUM
cana-4116	225	4	,	,	PUNCT
cana-4116	225	5	to	to	ADP
cana-4116	225	6	ℎ𝜎(𝑗)=𝑘𝜎(𝑗	ℎ𝜎(𝑗)=𝑘𝜎(𝑗	NOUN
cana-4116	225	7	)	)	PUNCT
cana-4116	225	8	=	=	SYM
cana-4116	225	9	0	0	X
cana-4116	225	10	.	.	PUNCT
cana-4116	226	1	(	(	PUNCT
cana-4116	226	2	n3	n3	NOUN
cana-4116	226	3	)	)	PUNCT
cana-4116	226	4	let	let	VERB
cana-4116	226	5	𝑑𝐸	𝑑𝐸	ADV
cana-4116	226	6	=	=	SYM
cana-4116	226	7	(	(	PUNCT
cana-4116	226	8	ℎ1	ℎ1	PROPN
cana-4116	226	9	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	226	10	)	)	PUNCT
cana-4116	226	11	,	,	PUNCT
cana-4116	226	12	𝑘1	𝑘1	PROPN
cana-4116	226	13	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	226	14	)	)	PUNCT
cana-4116	226	15	)	)	PUNCT
cana-4116	226	16	=(	=(	NOUN
cana-4116	226	17	{	{	PUNCT
cana-4116	226	18	ℎ1	ℎ1	PROPN
cana-4116	226	19	1	1	NUM
cana-4116	226	20	,	,	PUNCT
cana-4116	226	21	ℎ1	ℎ1	PROPN
cana-4116	226	22	2	2	NUM
cana-4116	226	23	,	,	PUNCT
cana-4116	226	24	.	.	PUNCT
cana-4116	226	25	.	.	PUNCT
cana-4116	227	1	.	.	PUNCT
cana-4116	228	1	,	,	PUNCT
cana-4116	228	2	ℎ1	ℎ1	PROPN
cana-4116	228	3	𝑚	𝑚	PROPN
cana-4116	228	4	}	}	PUNCT
cana-4116	228	5	,	,	PUNCT
cana-4116	228	6	{	{	PUNCT
cana-4116	228	7	𝑘1	𝑘1	PROPN
cana-4116	228	8	1	1	NUM
cana-4116	228	9	,	,	PUNCT
cana-4116	228	10	𝑘1	𝑘1	NOUN
cana-4116	228	11	2	2	NUM
cana-4116	228	12	,	,	PUNCT
cana-4116	228	13	.	.	PUNCT
cana-4116	228	14	.	.	PUNCT
cana-4116	228	15	.	.	PUNCT
cana-4116	229	1	,	,	PUNCT
cana-4116	229	2	𝑘1	𝑘1	PROPN
cana-4116	229	3	𝑛	𝑛	PROPN
cana-4116	229	4	}	}	PUNCT
cana-4116	229	5	)	)	PUNCT
cana-4116	230	1	𝑓	𝑓	X
cana-4116	230	2	=	=	SYM
cana-4116	230	3	(	(	PUNCT
cana-4116	230	4	ℎ2	ℎ2	PROPN
cana-4116	230	5	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	230	6	)	)	PUNCT
cana-4116	230	7	,	,	PUNCT
cana-4116	230	8	𝑘2	𝑘2	PROPN
cana-4116	230	9	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	230	10	)	)	PUNCT
cana-4116	230	11	)	)	PUNCT
cana-4116	231	1	=(	=(	NOUN
cana-4116	231	2	{	{	PUNCT
cana-4116	231	3	ℎ1	ℎ1	PROPN
cana-4116	231	4	1	1	NUM
cana-4116	231	5	,	,	PUNCT
cana-4116	231	6	ℎ1	ℎ1	PROPN
cana-4116	231	7	2	2	NUM
cana-4116	231	8	,	,	PUNCT
cana-4116	231	9	.	.	PUNCT
cana-4116	231	10	.	.	PUNCT
cana-4116	231	11	.	.	PUNCT
cana-4116	232	1	,	,	PUNCT
cana-4116	232	2	ℎ1	ℎ1	PROPN
cana-4116	232	3	𝑝	𝑝	PROPN
cana-4116	232	4	}	}	PUNCT
cana-4116	232	5	,	,	PUNCT
cana-4116	232	6	{	{	PUNCT
cana-4116	232	7	𝑘1	𝑘1	PROPN
cana-4116	232	8	1	1	NUM
cana-4116	232	9	,	,	PUNCT
cana-4116	232	10	𝑘1	𝑘1	NOUN
cana-4116	232	11	2	2	NUM
cana-4116	232	12	,	,	PUNCT
cana-4116	232	13	.	.	PUNCT
cana-4116	232	14	.	.	PUNCT
cana-4116	232	15	.	.	PUNCT
cana-4116	233	1	,	,	PUNCT
cana-4116	233	2	𝑘1	𝑘1	PROPN
cana-4116	233	3	𝑞	𝑞	X
cana-4116	233	4	}	}	PUNCT
cana-4116	233	5	)	)	PUNCT
cana-4116	233	6	be	be	AUX
cana-4116	233	7	two	two	NUM
cana-4116	233	8	dhfss	dhfss	NOUN
cana-4116	233	9	.	.	PUNCT
cana-4116	234	1	we	we	PRON
cana-4116	234	2	have	have	VERB
cana-4116	234	3	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	234	4	)	)	PUNCT
cana-4116	235	1	=	=	PRON
cana-4116	235	2	(	(	PUNCT
cana-4116	235	3	1	1	NUM
cana-4116	235	4	𝑡	𝑡	PROPN
cana-4116	235	5	∑	∑	PROPN
cana-4116	235	6	𝑡	𝑡	PROPN
cana-4116	235	7	𝑗=1	𝑗=1	PROPN
cana-4116	235	8	|ℎ1	|ℎ1	PROPN
cana-4116	235	9	𝜎(𝑗	𝜎(𝑗	NUM
cana-4116	235	10	)	)	PUNCT
cana-4116	235	11	−	−	PROPN
cana-4116	235	12	𝑘1	𝑘1	PROPN
cana-4116	235	13	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	235	14	)	)	PUNCT
cana-4116	235	15	|	|	ADV
cana-4116	235	16	𝛼	𝛼	PRON
cana-4116	235	17	2−𝛽	2−𝛽	NUM
cana-4116	235	18	)	)	PUNCT
cana-4116	235	19	2−𝛽	2−𝛽	NUM
cana-4116	236	1	𝛼	𝛼	NOUN
cana-4116	236	2	,	,	PUNCT
cana-4116	236	3	𝛼	𝛼	X
cana-4116	236	4	>	>	X
cana-4116	236	5	0,0	0,0	NUM
cana-4116	236	6	<	<	X
cana-4116	236	7	𝛽	𝛽	X
cana-4116	236	8	<	<	X
cana-4116	236	9	2	2	NUM
cana-4116	236	10	.	.	NUM
cana-4116	236	11	𝑁𝑀(𝑓𝐸	𝑁𝑀(𝑓𝐸	NUM
cana-4116	236	12	)	)	PUNCT
cana-4116	237	1	=	=	PUNCT
cana-4116	237	2	(	(	PUNCT
cana-4116	237	3	1	1	NUM
cana-4116	237	4	𝑡	𝑡	PROPN
cana-4116	237	5	∑𝑡	∑𝑡	PROPN
cana-4116	237	6	𝑗=1	𝑗=1	PROPN
cana-4116	237	7	|ℎ2	|ℎ2	NOUN
cana-4116	237	8	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	237	9	)	)	PUNCT
cana-4116	237	10	−	−	PROPN
cana-4116	237	11	𝑘2	𝑘2	PROPN
cana-4116	237	12	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	237	13	)	)	PUNCT
cana-4116	237	14	|	|	ADV
cana-4116	237	15	𝛼	𝛼	PRON
cana-4116	237	16	2−𝛽	2−𝛽	NUM
cana-4116	237	17	)	)	PUNCT
cana-4116	237	18	2−𝛽	2−𝛽	NUM
cana-4116	238	1	𝛼	𝛼	NOUN
cana-4116	238	2	,	,	PUNCT
cana-4116	238	3	𝛼	𝛼	X
cana-4116	238	4	>	>	X
cana-4116	238	5	0,0	0,0	NUM
cana-4116	238	6	<	<	X
cana-4116	238	7	𝛽	𝛽	X
cana-4116	238	8	<	<	X
cana-4116	238	9	2	2	NUM
cana-4116	238	10	.	.	PUNCT
cana-4116	239	1	if	if	SCONJ
cana-4116	239	2	𝑚𝑎𝑥𝑖ℎ1	𝑚𝑎𝑥𝑖ℎ1	NOUN
cana-4116	239	3	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	239	4	)	)	PUNCT
cana-4116	239	5	≤	≤	NUM
cana-4116	239	6	𝑚𝑖𝑛𝑖ℎ2	𝑚𝑖𝑛𝑖ℎ2	ADJ
cana-4116	239	7	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	239	8	)	)	PUNCT
cana-4116	239	9	,	,	PUNCT
cana-4116	239	10	𝑚𝑖𝑛𝑖𝑘1	𝑚𝑖𝑛𝑖𝑘1	X
cana-4116	239	11	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	239	12	)	)	PUNCT
cana-4116	239	13	≥	≥	NOUN
cana-4116	239	14	𝑚𝑎𝑥𝑖𝑘2	𝑚𝑎𝑥𝑖𝑘2	NOUN
cana-4116	239	15	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	239	16	)	)	PUNCT
cana-4116	239	17	for	for	ADP
cana-4116	239	18	𝑚𝑎𝑥𝑖ℎ2	𝑚𝑎𝑥𝑖ℎ2	ADJ
cana-4116	239	19	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	239	20	)	)	PUNCT
cana-4116	239	21	≤	≤	NOUN
cana-4116	239	22	𝑚𝑖𝑛𝑖𝑔2	𝑚𝑖𝑛𝑖𝑔2	NOUN
cana-4116	239	23	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	239	24	)	)	PUNCT
cana-4116	239	25	,	,	PUNCT
cana-4116	239	26	we	we	PRON
cana-4116	239	27	have	have	VERB
cana-4116	239	28	ℎ1	ℎ1	PROPN
cana-4116	239	29	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	239	30	)	)	PUNCT
cana-4116	239	31	−	−	PROPN
cana-4116	240	1	𝑘1	𝑘1	PROPN
cana-4116	240	2	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	240	3	)	)	PUNCT
cana-4116	240	4	≤	≤	NUM
cana-4116	240	5	ℎ2	ℎ2	ADJ
cana-4116	240	6	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	240	7	)	)	PUNCT
cana-4116	240	8	−	−	PROPN
cana-4116	240	9	𝑘2	𝑘2	PROPN
cana-4116	240	10	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	240	11	)	)	PUNCT
cana-4116	240	12	≤	≤	NOUN
cana-4116	240	13	0	0	NUM
cana-4116	240	14	and	and	CCONJ
cana-4116	240	15	𝑘1	𝑘1	PROPN
cana-4116	240	16	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	240	17	)	)	PUNCT
cana-4116	241	1	−	−	PROPN
cana-4116	241	2	ℎ1	ℎ1	PROPN
cana-4116	241	3	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	241	4	)	)	PUNCT
cana-4116	241	5	≤	≤	NUM
cana-4116	241	6	𝑘2	𝑘2	PROPN
cana-4116	241	7	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	241	8	)	)	PUNCT
cana-4116	241	9	−	−	PROPN
cana-4116	241	10	ℎ2	ℎ2	ADJ
cana-4116	241	11	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	241	12	)	)	PUNCT
cana-4116	241	13	≤	≤	NOUN
cana-4116	241	14	0	0	NUM
cana-4116	241	15	,	,	PUNCT
cana-4116	241	16	therefore	therefore	ADV
cana-4116	241	17	,	,	PUNCT
cana-4116	241	18	|ℎ1	|ℎ1	NOUN
cana-4116	241	19	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	241	20	)	)	PUNCT
cana-4116	241	21	−	−	PROPN
cana-4116	241	22	𝑘1	𝑘1	PROPN
cana-4116	241	23	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	241	24	)	)	PUNCT
cana-4116	241	25	|	|	ADV
cana-4116	241	26	≥	≥	NOUN
cana-4116	241	27	|ℎ2	|ℎ2	NOUN
cana-4116	241	28	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	241	29	)	)	PUNCT
cana-4116	241	30	−	−	PROPN
cana-4116	241	31	𝑘2	𝑘2	PROPN
cana-4116	241	32	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	241	33	)	)	PUNCT
cana-4116	241	34	|	|	CCONJ
cana-4116	241	35	(	(	PUNCT
cana-4116	241	36	1	1	NUM
cana-4116	241	37	𝑡	𝑡	PROPN
cana-4116	241	38	∑	∑	PROPN
cana-4116	241	39	𝑡	𝑡	PROPN
cana-4116	241	40	𝑗=1	𝑗=1	PROPN
cana-4116	241	41	|ℎ1	|ℎ1	PROPN
cana-4116	241	42	𝜎(𝑗	𝜎(𝑗	NUM
cana-4116	241	43	)	)	PUNCT
cana-4116	241	44	−	−	PROPN
cana-4116	241	45	𝑘1	𝑘1	PROPN
cana-4116	241	46	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	241	47	)	)	PUNCT
cana-4116	241	48	|	|	ADV
cana-4116	241	49	𝛼	𝛼	PRON
cana-4116	241	50	2−𝛽	2−𝛽	NUM
cana-4116	241	51	)	)	PUNCT
cana-4116	241	52	2−𝛽	2−𝛽	NUM
cana-4116	242	1	𝛼	𝛼	PRON
cana-4116	242	2	≥	≥	NOUN
cana-4116	242	3	(	(	PUNCT
cana-4116	242	4	1	1	NUM
cana-4116	242	5	𝑡	𝑡	PROPN
cana-4116	242	6	∑	∑	PROPN
cana-4116	242	7	𝑡	𝑡	PROPN
cana-4116	242	8	𝑗=1	𝑗=1	PROPN
cana-4116	242	9	|ℎ2	|ℎ2	NOUN
cana-4116	242	10	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	242	11	)	)	PUNCT
cana-4116	242	12	−	−	PROPN
cana-4116	242	13	𝑘2	𝑘2	PROPN
cana-4116	242	14	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	242	15	)	)	PUNCT
cana-4116	242	16	|	|	ADV
cana-4116	242	17	𝛼	𝛼	PRON
cana-4116	242	18	2−𝛽	2−𝛽	NUM
cana-4116	242	19	)	)	PUNCT
cana-4116	242	20	2−𝛽	2−𝛽	NUM
cana-4116	242	21	𝛼	𝛼	PRON
cana-4116	242	22	𝑁𝑀(𝑑	𝑁𝑀(𝑑	NOUN
cana-4116	242	23	)	)	PUNCT
cana-4116	242	24	≥	≥	PROPN
cana-4116	242	25	𝑁𝑀(𝑓	𝑁𝑀(𝑓	NOUN
cana-4116	242	26	)	)	PUNCT
cana-4116	242	27	similarly	similarly	ADV
cana-4116	242	28	,	,	PUNCT
cana-4116	242	29	if	if	SCONJ
cana-4116	242	30	𝑚𝑖𝑛𝑖ℎ1	𝑚𝑖𝑛𝑖ℎ1	NOUN
cana-4116	242	31	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	242	32	)	)	PUNCT
cana-4116	242	33	≥	≥	NOUN
cana-4116	242	34	𝑚𝑎𝑥𝑖ℎ2	𝑚𝑎𝑥𝑖ℎ2	ADJ
cana-4116	242	35	𝜎(𝑗	𝜎(𝑗	NUM
cana-4116	242	36	)	)	PUNCT
cana-4116	242	37	,	,	PUNCT
cana-4116	242	38	𝑚𝑎𝑥𝑖𝑘1	𝑚𝑎𝑥𝑖𝑘1	VERB
cana-4116	242	39	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	242	40	)	)	PUNCT
cana-4116	242	41	≤	≤	NOUN
cana-4116	242	42	𝑚𝑖𝑛𝑖𝑘2	𝑚𝑖𝑛𝑖𝑘2	X
cana-4116	242	43	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	242	44	)	)	PUNCT
cana-4116	242	45	for	for	ADP
cana-4116	242	46	𝑚𝑖𝑛𝑖ℎ2	𝑚𝑖𝑛𝑖ℎ2	ADJ
cana-4116	242	47	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	242	48	)	)	PUNCT
cana-4116	242	49	≥	≥	NOUN
cana-4116	242	50	𝑚𝑎𝑥𝑖𝑘2	𝑚𝑎𝑥𝑖𝑘2	NOUN
cana-4116	242	51	𝜎(𝑗	𝜎(𝑗	NUM
cana-4116	242	52	)	)	PUNCT
cana-4116	242	53	,	,	PUNCT
cana-4116	242	54	we	we	PRON
cana-4116	242	55	have	have	VERB
cana-4116	242	56	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	242	57	)	)	PUNCT
cana-4116	242	58	≥	≥	NOUN
cana-4116	242	59	𝑁𝑀(𝑓𝐸	𝑁𝑀(𝑓𝐸	NUM
cana-4116	242	60	)	)	PUNCT
cana-4116	242	61	(	(	PUNCT
cana-4116	242	62	n4	n4	PROPN
cana-4116	242	63	)	)	PUNCT
cana-4116	242	64	we	we	PRON
cana-4116	242	65	have	have	VERB
cana-4116	242	66	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	NOUN
cana-4116	242	67	)	)	PUNCT
cana-4116	243	1	=	=	PRON
cana-4116	243	2	(	(	PUNCT
cana-4116	243	3	1	1	NUM
cana-4116	243	4	𝑡	𝑡	PROPN
cana-4116	243	5	∑	∑	PROPN
cana-4116	243	6	𝑡	𝑡	PROPN
cana-4116	243	7	𝑗=1	𝑗=1	PROPN
cana-4116	243	8	|ℎ1	|ℎ1	PROPN
cana-4116	243	9	𝜎(𝑗	𝜎(𝑗	NUM
cana-4116	243	10	)	)	PUNCT
cana-4116	243	11	−	−	PROPN
cana-4116	243	12	𝑘1	𝑘1	PROPN
cana-4116	243	13	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	243	14	)	)	PUNCT
cana-4116	243	15	|	|	ADV
cana-4116	243	16	𝛼	𝛼	PRON
cana-4116	243	17	2−𝛽	2−𝛽	NUM
cana-4116	243	18	)	)	PUNCT
cana-4116	243	19	2−𝛽	2−𝛽	NUM
cana-4116	244	1	𝛼	𝛼	NOUN
cana-4116	244	2	,	,	PUNCT
cana-4116	244	3	𝛼	𝛼	X
cana-4116	244	4	>	>	X
cana-4116	244	5	0,0	0,0	NUM
cana-4116	244	6	<	<	X
cana-4116	244	7	𝛽	𝛽	X
cana-4116	244	8	<	<	X
cana-4116	244	9	2	2	NUM
cana-4116	244	10	.	.	PUNCT
cana-4116	245	1	so	so	ADV
cana-4116	245	2	,	,	PUNCT
cana-4116	245	3	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	245	4	𝑐	𝑐	PROPN
cana-4116	245	5	)	)	PUNCT
cana-4116	245	6	=	=	PUNCT
cana-4116	246	1	(	(	PUNCT
cana-4116	246	2	1	1	NUM
cana-4116	246	3	𝑡	𝑡	PROPN
cana-4116	246	4	∑𝑡	∑𝑡	PROPN
cana-4116	246	5	𝑗=1	𝑗=1	PROPN
cana-4116	246	6	|𝑘1	|𝑘1	NOUN
cana-4116	246	7	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	246	8	)	)	PUNCT
cana-4116	246	9	−	−	PROPN
cana-4116	247	1	ℎ1	ℎ1	PROPN
cana-4116	247	2	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	247	3	)	)	PUNCT
cana-4116	248	1	|	|	ADV
cana-4116	248	2	𝛼	𝛼	PRON
cana-4116	248	3	2−𝛽	2−𝛽	NUM
cana-4116	248	4	)	)	PUNCT
cana-4116	248	5	2−𝛽	2−𝛽	NUM
cana-4116	249	1	𝛼	𝛼	X
cana-4116	249	2	=	=	PUNCT
cana-4116	249	3	(	(	PUNCT
cana-4116	249	4	1	1	NUM
cana-4116	249	5	𝑡	𝑡	PROPN
cana-4116	249	6	∑𝑡	∑𝑡	PROPN
cana-4116	249	7	𝑗=1	𝑗=1	PROPN
cana-4116	249	8	|ℎ1	|ℎ1	PROPN
cana-4116	249	9	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	249	10	)	)	PUNCT
cana-4116	249	11	−	−	PROPN
cana-4116	249	12	𝑘1	𝑘1	PROPN
cana-4116	249	13	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	249	14	)	)	PUNCT
cana-4116	249	15	|	|	ADV
cana-4116	249	16	𝛼	𝛼	PRON
cana-4116	249	17	2−𝛽	2−𝛽	NUM
cana-4116	249	18	)	)	PUNCT
cana-4116	249	19	2−𝛽	2−𝛽	NUM
cana-4116	250	1	𝛼	𝛼	NOUN
cana-4116	250	2	=	=	SYM
cana-4116	250	3	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	250	4	)	)	PUNCT
cana-4116	250	5	hence	hence	ADV
cana-4116	250	6	,	,	PUNCT
cana-4116	250	7	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	250	8	𝑐	𝑐	PROPN
cana-4116	250	9	)	)	PUNCT
cana-4116	250	10	=	=	SYM
cana-4116	250	11	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	250	12	)	)	PUNCT
cana-4116	250	13	as	as	ADP
cana-4116	250	14	a	a	DET
cana-4116	250	15	result	result	NOUN
cana-4116	250	16	,	,	PUNCT
cana-4116	250	17	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	250	18	)	)	PUNCT
cana-4116	250	19	is	be	AUX
cana-4116	250	20	an	an	DET
cana-4116	250	21	acceptable	acceptable	ADJ
cana-4116	250	22	dhf	dhf	NOUN
cana-4116	250	23	knowledge	knowledge	NOUN
cana-4116	250	24	measure	measure	NOUN
cana-4116	250	25	.	.	PUNCT
cana-4116	251	1	the	the	DET
cana-4116	251	2	comparison	comparison	NOUN
cana-4116	251	3	of	of	ADP
cana-4116	251	4	the	the	DET
cana-4116	251	5	dhf	dhf	NOUN
cana-4116	251	6	knowledge	knowledge	NOUN
cana-4116	251	7	measure	measure	NOUN
cana-4116	251	8	with	with	ADP
cana-4116	251	9	a	a	DET
cana-4116	251	10	few	few	ADJ
cana-4116	251	11	dhf	dhf	NOUN
cana-4116	251	12	entropy	entropy	NOUN
cana-4116	251	13	measures	measure	NOUN
cana-4116	251	14	that	that	PRON
cana-4116	251	15	are	be	AUX
cana-4116	251	16	currently	currently	ADV
cana-4116	251	17	in	in	ADP
cana-4116	251	18	use	use	NOUN
cana-4116	251	19	is	be	AUX
cana-4116	251	20	presented	present	VERB
cana-4116	251	21	in	in	ADP
cana-4116	251	22	the	the	DET
cana-4116	251	23	next	next	ADJ
cana-4116	251	24	section	section	NOUN
cana-4116	251	25	.	.	PUNCT
cana-4116	252	1	communications	communication	NOUN
cana-4116	252	2	on	on	ADP
cana-4116	252	3	applied	apply	VERB
cana-4116	252	4	nonlinear	nonlinear	ADJ
cana-4116	252	5	analysis	analysis	NOUN
cana-4116	252	6	issn	issn	NOUN
cana-4116	252	7	:	:	PUNCT
cana-4116	252	8	1074	1074	NUM
cana-4116	252	9	-	-	PUNCT
cana-4116	252	10	133x	133x	NUM
cana-4116	252	11	vol	vol	NOUN
cana-4116	252	12	32	32	NUM
cana-4116	252	13	no	no	NOUN
cana-4116	252	14	.	.	PUNCT
cana-4116	253	1	9s	9s	NUM
cana-4116	253	2	(	(	PUNCT
cana-4116	253	3	2025	2025	NUM
cana-4116	253	4	)	)	PUNCT
cana-4116	253	5	1096	1096	NUM
cana-4116	253	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	253	7	3.1	3.1	NUM
cana-4116	253	8	comparative	comparative	ADJ
cana-4116	253	9	study	study	NOUN
cana-4116	253	10	applying	apply	VERB
cana-4116	253	11	the	the	DET
cana-4116	253	12	weight	weight	NOUN
cana-4116	253	13	calculation	calculation	NOUN
cana-4116	253	14	mechanism	mechanism	NOUN
cana-4116	253	15	,	,	PUNCT
cana-4116	253	16	we	we	PRON
cana-4116	253	17	evaluate	evaluate	VERB
cana-4116	253	18	the	the	DET
cana-4116	253	19	existing	exist	VERB
cana-4116	253	20	dhf	dhf	NOUN
cana-4116	253	21	entropy	entropy	NOUN
cana-4116	253	22	measurements	measurement	NOUN
cana-4116	253	23	given	give	VERB
cana-4116	253	24	in	in	ADP
cana-4116	253	25	eq.(1)-(3	eq.(1)-(3	PROPN
cana-4116	253	26	)	)	PUNCT
cana-4116	253	27	and	and	CCONJ
cana-4116	253	28	compare	compare	VERB
cana-4116	253	29	these	these	PRON
cana-4116	253	30	with	with	ADP
cana-4116	253	31	our	our	PRON
cana-4116	253	32	suggested	suggest	VERB
cana-4116	253	33	dhf	dhf	NOUN
cana-4116	253	34	knowledge	knowledge	NOUN
cana-4116	253	35	measure	measure	NOUN
cana-4116	253	36	given	give	VERB
cana-4116	253	37	in	in	ADP
cana-4116	253	38	eq.(5	eq.(5	NOUN
cana-4116	253	39	)	)	PUNCT
cana-4116	253	40	.	.	PUNCT
cana-4116	254	1	assume	assume	VERB
cana-4116	254	2	that	that	SCONJ
cana-4116	254	3	we	we	PRON
cana-4116	254	4	have	have	VERB
cana-4116	254	5	a	a	DET
cana-4116	254	6	madm	madm	NOUN
cana-4116	254	7	issue	issue	NOUN
cana-4116	254	8	with	with	ADP
cana-4116	254	9	two	two	NUM
cana-4116	254	10	attributes	attribute	NOUN
cana-4116	254	11	{	{	PUNCT
cana-4116	254	12	𝑄1	𝑄1	PROPN
cana-4116	254	13	,	,	PUNCT
cana-4116	254	14	𝑄2	𝑄2	PROPN
cana-4116	254	15	}	}	PUNCT
cana-4116	254	16	,	,	PUNCT
cana-4116	254	17	and	and	CCONJ
cana-4116	254	18	three	three	NUM
cana-4116	254	19	alternatives	alternative	NOUN
cana-4116	254	20	{	{	PUNCT
cana-4116	254	21	𝐴1	𝐴1	PROPN
cana-4116	254	22	,	,	PUNCT
cana-4116	254	23	𝐴2	𝐴2	PROPN
cana-4116	254	24	,	,	PUNCT
cana-4116	254	25	𝐴3	𝐴3	PROPN
cana-4116	254	26	}	}	PUNCT
cana-4116	254	27	.	.	PUNCT
cana-4116	255	1	the	the	DET
cana-4116	255	2	weight	weight	NOUN
cana-4116	255	3	calculating	calculate	VERB
cana-4116	255	4	process	process	NOUN
cana-4116	255	5	is	be	AUX
cana-4116	255	6	displayed	display	VERB
cana-4116	255	7	in	in	ADP
cana-4116	255	8	singh	singh	PROPN
cana-4116	255	9	et	et	PROPN
cana-4116	255	10	al	al	PROPN
cana-4116	255	11	.	.	PROPN
cana-4116	255	12	’s	’s	PART
cana-4116	255	13	2019	2019	NUM
cana-4116	255	14	publication	publication	NOUN
cana-4116	255	15	.	.	PUNCT
cana-4116	256	1	in	in	ADP
cana-4116	256	2	examples	example	NOUN
cana-4116	256	3	1	1	NUM
cana-4116	256	4	-	-	SYM
cana-4116	256	5	3	3	NUM
cana-4116	256	6	,	,	PUNCT
cana-4116	256	7	we	we	PRON
cana-4116	256	8	use	use	VERB
cana-4116	256	9	dhf	dhf	NOUN
cana-4116	256	10	entropy	entropy	NOUN
cana-4116	256	11	and	and	CCONJ
cana-4116	256	12	dhf	dhf	VERB
cana-4116	256	13	knowledge	knowledge	NOUN
cana-4116	256	14	measure	measure	NOUN
cana-4116	256	15	to	to	PART
cana-4116	256	16	compute	compute	VERB
cana-4116	256	17	weights	weight	NOUN
cana-4116	256	18	.	.	PUNCT
cana-4116	257	1	examples	example	NOUN
cana-4116	257	2	1–3	1–3	NUM
cana-4116	257	3	given	give	VERB
cana-4116	257	4	below	below	ADP
cana-4116	257	5	show	show	VERB
cana-4116	257	6	how	how	SCONJ
cana-4116	257	7	our	our	PRON
cana-4116	257	8	suggested	suggest	VERB
cana-4116	257	9	dhf	dhf	NOUN
cana-4116	257	10	knowledge	knowledge	NOUN
cana-4116	257	11	measure	measure	NOUN
cana-4116	257	12	performs	perform	VERB
cana-4116	257	13	in	in	ADP
cana-4116	257	14	comparison	comparison	NOUN
cana-4116	257	15	to	to	ADP
cana-4116	257	16	some	some	PRON
cana-4116	257	17	of	of	ADP
cana-4116	257	18	the	the	DET
cana-4116	257	19	existing	exist	VERB
cana-4116	257	20	dhf	dhf	NOUN
cana-4116	257	21	entropies	entropy	NOUN
cana-4116	257	22	.	.	PUNCT
cana-4116	258	1	example	example	NOUN
cana-4116	258	2	1	1	NUM
cana-4116	258	3	consider	consider	VERB
cana-4116	258	4	𝐷1	𝐷1	NOUN
cana-4116	258	5	is	be	AUX
cana-4116	258	6	a	a	DET
cana-4116	258	7	decision	decision	NOUN
cana-4116	258	8	matrix	matrix	NOUN
cana-4116	258	9	corresponding	correspond	VERB
cana-4116	258	10	to	to	PART
cana-4116	258	11	set	set	VERB
cana-4116	258	12	of	of	ADP
cana-4116	258	13	alternatives	alternative	NOUN
cana-4116	258	14	{	{	PUNCT
cana-4116	258	15	𝐴1	𝐴1	PROPN
cana-4116	258	16	,	,	PUNCT
cana-4116	258	17	𝐴2	𝐴2	PROPN
cana-4116	258	18	,	,	PUNCT
cana-4116	258	19	𝐴3	𝐴3	PROPN
cana-4116	258	20	}	}	PUNCT
cana-4116	258	21	and	and	CCONJ
cana-4116	258	22	a	a	DET
cana-4116	258	23	set	set	NOUN
cana-4116	258	24	of	of	ADP
cana-4116	258	25	attributes	attribute	NOUN
cana-4116	258	26	{	{	PUNCT
cana-4116	258	27	𝑄1	𝑄1	PROPN
cana-4116	258	28	,	,	PUNCT
cana-4116	258	29	𝑄2	𝑄2	PROPN
cana-4116	258	30	}	}	PUNCT
cana-4116	258	31	established	establish	VERB
cana-4116	258	32	in	in	ADP
cana-4116	258	33	an	an	DET
cana-4116	258	34	hesitant	hesitant	ADJ
cana-4116	258	35	fuzzy	fuzzy	ADJ
cana-4116	258	36	environment	environment	NOUN
cana-4116	258	37	.	.	PUNCT
cana-4116	259	1	𝐷1	𝐷1	NOUN
cana-4116	259	2	=	=	PUNCT
cana-4116	259	3	q_1	q_1	PROPN
cana-4116	259	4	,	,	PUNCT
cana-4116	259	5	q_2	q_2	NOUN
cana-4116	259	6	a_1	a_1	NOUN
cana-4116	259	7	=	=	SYM
cana-4116	259	8	(	(	PUNCT
cana-4116	259	9	{	{	PUNCT
cana-4116	259	10	.3	.3	NUM
cana-4116	259	11	,	,	PUNCT
cana-4116	259	12	.4	.4	NUM
cana-4116	259	13	,	,	PUNCT
cana-4116	259	14	.6	.6	NUM
cana-4116	259	15	,	,	PUNCT
cana-4116	259	16	}	}	PUNCT
cana-4116	259	17	,	,	PUNCT
cana-4116	259	18	{	{	PUNCT
cana-4116	259	19	.1	.1	NOUN
cana-4116	259	20	,	,	PUNCT
cana-4116	259	21	.2	.2	NUM
cana-4116	259	22	,	,	PUNCT
cana-4116	259	23	.4	.4	NUM
cana-4116	259	24	}	}	PUNCT
cana-4116	259	25	)	)	PUNCT
cana-4116	259	26	,	,	PUNCT
cana-4116	259	27	(	(	PUNCT
cana-4116	259	28	{	{	PUNCT
cana-4116	259	29	.3	.3	NUM
cana-4116	259	30	,	,	PUNCT
cana-4116	259	31	.5	.5	NUM
cana-4116	259	32	,	,	PUNCT
cana-4116	259	33	.6	.6	NUM
cana-4116	259	34	}	}	PUNCT
cana-4116	259	35	,	,	PUNCT
cana-4116	259	36	{	{	PUNCT
cana-4116	259	37	.5	.5	NUM
cana-4116	259	38	,	,	PUNCT
cana-4116	259	39	.6	.6	NUM
cana-4116	259	40	,	,	PUNCT
cana-4116	259	41	.7	.7	PROPN
cana-4116	259	42	}	}	PUNCT
cana-4116	259	43	)	)	PUNCT
cana-4116	260	1	a_2	a_2	PROPN
cana-4116	260	2	=	=	PUNCT
cana-4116	260	3	(	(	PUNCT
cana-4116	260	4	{	{	PUNCT
cana-4116	260	5	.5	.5	NUM
cana-4116	260	6	,	,	PUNCT
cana-4116	260	7	.6	.6	NUM
cana-4116	260	8	,	,	PUNCT
cana-4116	260	9	.7	.7	PROPN
cana-4116	260	10	,	,	PUNCT
cana-4116	260	11	}	}	PUNCT
cana-4116	260	12	,	,	PUNCT
cana-4116	260	13	{	{	PUNCT
cana-4116	260	14	.3	.3	NUM
cana-4116	260	15	,	,	PUNCT
cana-4116	260	16	.5	.5	NUM
cana-4116	260	17	,	,	PUNCT
cana-4116	260	18	.6	.6	NUM
cana-4116	260	19	}	}	PUNCT
cana-4116	260	20	)	)	PUNCT
cana-4116	260	21	,	,	PUNCT
cana-4116	260	22	(	(	PUNCT
cana-4116	260	23	{	{	PUNCT
cana-4116	260	24	.2	.2	NUM
cana-4116	260	25	,	,	PUNCT
cana-4116	260	26	.3	.3	NUM
cana-4116	260	27	,	,	PUNCT
cana-4116	260	28	.4	.4	NUM
cana-4116	260	29	}	}	PUNCT
cana-4116	260	30	,	,	PUNCT
cana-4116	260	31	{	{	PUNCT
cana-4116	260	32	.4	.4	NUM
cana-4116	260	33	,	,	PUNCT
cana-4116	260	34	.5	.5	NUM
cana-4116	260	35	,	,	PUNCT
cana-4116	260	36	.6	.6	NUM
cana-4116	260	37	}	}	PUNCT
cana-4116	260	38	)	)	PUNCT
cana-4116	260	39	a_3	a_3	PROPN
cana-4116	261	1	=	=	PUNCT
cana-4116	261	2	(	(	PUNCT
cana-4116	261	3	{	{	PUNCT
cana-4116	261	4	.4	.4	PROPN
cana-4116	261	5	,	,	PUNCT
cana-4116	261	6	.5	.5	NUM
cana-4116	261	7	,	,	PUNCT
cana-4116	261	8	.6	.6	NUM
cana-4116	261	9	,	,	PUNCT
cana-4116	261	10	}	}	PUNCT
cana-4116	261	11	,	,	PUNCT
cana-4116	261	12	{	{	PUNCT
cana-4116	261	13	.2	.2	NUM
cana-4116	261	14	,	,	PUNCT
cana-4116	261	15	.3	.3	NUM
cana-4116	261	16	,	,	PUNCT
cana-4116	261	17	.4	.4	NUM
cana-4116	261	18	}	}	PUNCT
cana-4116	261	19	)	)	PUNCT
cana-4116	261	20	,	,	PUNCT
cana-4116	261	21	(	(	PUNCT
cana-4116	261	22	{	{	PUNCT
cana-4116	261	23	.1	.1	NOUN
cana-4116	261	24	,	,	PUNCT
cana-4116	261	25	.2	.2	NUM
cana-4116	261	26	,	,	PUNCT
cana-4116	261	27	.4	.4	NUM
cana-4116	261	28	}	}	PUNCT
cana-4116	261	29	,	,	PUNCT
cana-4116	261	30	{	{	PUNCT
cana-4116	261	31	.4	.4	NUM
cana-4116	261	32	,	,	PUNCT
cana-4116	261	33	.5	.5	NUM
cana-4116	261	34	,	,	PUNCT
cana-4116	261	35	.6	.6	NUM
cana-4116	261	36	}	}	PUNCT
cana-4116	261	37	)	)	PUNCT
cana-4116	261	38	3.2	3.2	NUM
cana-4116	261	39	comparative	comparative	ADJ
cana-4116	261	40	study	study	NOUN
cana-4116	261	41	applying	apply	VERB
cana-4116	261	42	the	the	DET
cana-4116	261	43	weight	weight	NOUN
cana-4116	261	44	calculation	calculation	NOUN
cana-4116	261	45	mechanism	mechanism	NOUN
cana-4116	261	46	,	,	PUNCT
cana-4116	261	47	we	we	PRON
cana-4116	261	48	evaluate	evaluate	VERB
cana-4116	261	49	the	the	DET
cana-4116	261	50	existing	exist	VERB
cana-4116	261	51	dhf	dhf	NOUN
cana-4116	261	52	entropy	entropy	NOUN
cana-4116	261	53	measurements	measurement	NOUN
cana-4116	261	54	given	give	VERB
cana-4116	261	55	in	in	ADP
cana-4116	261	56	eq.(1)-(3	eq.(1)-(3	PROPN
cana-4116	261	57	)	)	PUNCT
cana-4116	261	58	and	and	CCONJ
cana-4116	261	59	compare	compare	VERB
cana-4116	261	60	these	these	PRON
cana-4116	261	61	with	with	ADP
cana-4116	261	62	our	our	PRON
cana-4116	261	63	suggested	suggest	VERB
cana-4116	261	64	dhf	dhf	NOUN
cana-4116	261	65	knowledge	knowledge	NOUN
cana-4116	261	66	measure	measure	NOUN
cana-4116	261	67	given	give	VERB
cana-4116	261	68	in	in	ADP
cana-4116	261	69	eq.(5	eq.(5	NOUN
cana-4116	261	70	)	)	PUNCT
cana-4116	261	71	.	.	PUNCT
cana-4116	262	1	assume	assume	VERB
cana-4116	262	2	that	that	SCONJ
cana-4116	262	3	we	we	PRON
cana-4116	262	4	have	have	VERB
cana-4116	262	5	a	a	DET
cana-4116	262	6	madm	madm	NOUN
cana-4116	262	7	issue	issue	NOUN
cana-4116	262	8	with	with	ADP
cana-4116	262	9	two	two	NUM
cana-4116	262	10	attributes	attribute	NOUN
cana-4116	262	11	{	{	PUNCT
cana-4116	262	12	𝑄1	𝑄1	PROPN
cana-4116	262	13	,	,	PUNCT
cana-4116	262	14	𝑄2	𝑄2	PROPN
cana-4116	262	15	}	}	PUNCT
cana-4116	262	16	,	,	PUNCT
cana-4116	262	17	and	and	CCONJ
cana-4116	262	18	three	three	NUM
cana-4116	262	19	alternatives	alternative	NOUN
cana-4116	262	20	{	{	PUNCT
cana-4116	262	21	𝐴1	𝐴1	PROPN
cana-4116	262	22	,	,	PUNCT
cana-4116	262	23	𝐴2	𝐴2	PROPN
cana-4116	262	24	,	,	PUNCT
cana-4116	262	25	𝐴3	𝐴3	PROPN
cana-4116	262	26	}	}	PUNCT
cana-4116	262	27	.	.	PUNCT
cana-4116	263	1	the	the	DET
cana-4116	263	2	weight	weight	NOUN
cana-4116	263	3	calculating	calculate	VERB
cana-4116	263	4	process	process	NOUN
cana-4116	263	5	is	be	AUX
cana-4116	263	6	displayed	display	VERB
cana-4116	263	7	in	in	ADP
cana-4116	263	8	singh	singh	PROPN
cana-4116	263	9	et	et	PROPN
cana-4116	263	10	al	al	PROPN
cana-4116	263	11	.	.	PROPN
cana-4116	263	12	’s	’s	PART
cana-4116	263	13	2019	2019	NUM
cana-4116	263	14	publication	publication	NOUN
cana-4116	263	15	.	.	PUNCT
cana-4116	264	1	in	in	ADP
cana-4116	264	2	examples	example	NOUN
cana-4116	264	3	1	1	NUM
cana-4116	264	4	-	-	SYM
cana-4116	264	5	3	3	NUM
cana-4116	264	6	,	,	PUNCT
cana-4116	264	7	we	we	PRON
cana-4116	264	8	use	use	VERB
cana-4116	264	9	dhf	dhf	NOUN
cana-4116	264	10	entropy	entropy	NOUN
cana-4116	264	11	and	and	CCONJ
cana-4116	264	12	dhf	dhf	VERB
cana-4116	264	13	knowledge	knowledge	NOUN
cana-4116	264	14	measure	measure	NOUN
cana-4116	264	15	to	to	PART
cana-4116	264	16	compute	compute	VERB
cana-4116	264	17	weights	weight	NOUN
cana-4116	264	18	.	.	PUNCT
cana-4116	265	1	examples	example	NOUN
cana-4116	265	2	1–3	1–3	NUM
cana-4116	265	3	given	give	VERB
cana-4116	265	4	below	below	ADP
cana-4116	265	5	show	show	VERB
cana-4116	265	6	how	how	SCONJ
cana-4116	265	7	our	our	PRON
cana-4116	265	8	suggested	suggest	VERB
cana-4116	265	9	dhf	dhf	NOUN
cana-4116	265	10	knowledge	knowledge	NOUN
cana-4116	265	11	measure	measure	NOUN
cana-4116	265	12	performs	perform	VERB
cana-4116	265	13	in	in	ADP
cana-4116	265	14	comparison	comparison	NOUN
cana-4116	265	15	to	to	ADP
cana-4116	265	16	some	some	PRON
cana-4116	265	17	of	of	ADP
cana-4116	265	18	the	the	DET
cana-4116	265	19	existing	exist	VERB
cana-4116	265	20	dhf	dhf	NOUN
cana-4116	265	21	entropies	entropy	NOUN
cana-4116	265	22	.	.	PUNCT
cana-4116	266	1	example	example	NOUN
cana-4116	266	2	1	1	NUM
cana-4116	266	3	consider	consider	VERB
cana-4116	266	4	𝐷1	𝐷1	NOUN
cana-4116	266	5	is	be	AUX
cana-4116	266	6	a	a	DET
cana-4116	266	7	decision	decision	NOUN
cana-4116	266	8	matrix	matrix	NOUN
cana-4116	266	9	corresponding	correspond	VERB
cana-4116	266	10	to	to	PART
cana-4116	266	11	set	set	VERB
cana-4116	266	12	of	of	ADP
cana-4116	266	13	alternatives	alternative	NOUN
cana-4116	266	14	{	{	PUNCT
cana-4116	266	15	𝐴1	𝐴1	PROPN
cana-4116	266	16	,	,	PUNCT
cana-4116	266	17	𝐴2	𝐴2	PROPN
cana-4116	266	18	,	,	PUNCT
cana-4116	266	19	𝐴3	𝐴3	PROPN
cana-4116	266	20	}	}	PUNCT
cana-4116	266	21	and	and	CCONJ
cana-4116	266	22	a	a	DET
cana-4116	266	23	set	set	NOUN
cana-4116	266	24	of	of	ADP
cana-4116	266	25	attributes	attribute	NOUN
cana-4116	266	26	{	{	PUNCT
cana-4116	266	27	𝑄1	𝑄1	PROPN
cana-4116	266	28	,	,	PUNCT
cana-4116	266	29	𝑄2	𝑄2	PROPN
cana-4116	266	30	}	}	PUNCT
cana-4116	266	31	established	establish	VERB
cana-4116	266	32	in	in	ADP
cana-4116	266	33	an	an	DET
cana-4116	266	34	hesitant	hesitant	ADJ
cana-4116	266	35	fuzzy	fuzzy	ADJ
cana-4116	266	36	environment	environment	NOUN
cana-4116	266	37	.	.	PUNCT
cana-4116	267	1	𝐷1	𝐷1	NOUN
cana-4116	267	2	=	=	PUNCT
cana-4116	267	3	q_1	q_1	PROPN
cana-4116	267	4	,	,	PUNCT
cana-4116	267	5	q_2	q_2	NOUN
cana-4116	267	6	a_1	a_1	NOUN
cana-4116	267	7	=	=	SYM
cana-4116	267	8	(	(	PUNCT
cana-4116	267	9	{	{	PUNCT
cana-4116	267	10	.3	.3	NUM
cana-4116	267	11	,	,	PUNCT
cana-4116	267	12	.4	.4	NUM
cana-4116	267	13	,	,	PUNCT
cana-4116	267	14	.6	.6	NUM
cana-4116	267	15	,	,	PUNCT
cana-4116	267	16	}	}	PUNCT
cana-4116	267	17	,	,	PUNCT
cana-4116	267	18	{	{	PUNCT
cana-4116	267	19	.1	.1	NOUN
cana-4116	267	20	,	,	PUNCT
cana-4116	267	21	.2	.2	NUM
cana-4116	267	22	,	,	PUNCT
cana-4116	267	23	.4	.4	NUM
cana-4116	267	24	}	}	PUNCT
cana-4116	267	25	)	)	PUNCT
cana-4116	267	26	,	,	PUNCT
cana-4116	267	27	(	(	PUNCT
cana-4116	267	28	{	{	PUNCT
cana-4116	267	29	.3	.3	NUM
cana-4116	267	30	,	,	PUNCT
cana-4116	267	31	.5	.5	NUM
cana-4116	267	32	,	,	PUNCT
cana-4116	267	33	.6	.6	NUM
cana-4116	267	34	}	}	PUNCT
cana-4116	267	35	,	,	PUNCT
cana-4116	267	36	{	{	PUNCT
cana-4116	267	37	.5	.5	NUM
cana-4116	267	38	,	,	PUNCT
cana-4116	267	39	.6	.6	NUM
cana-4116	267	40	,	,	PUNCT
cana-4116	267	41	.7	.7	PROPN
cana-4116	267	42	}	}	PUNCT
cana-4116	267	43	)	)	PUNCT
cana-4116	268	1	a_2	a_2	PROPN
cana-4116	268	2	=	=	PUNCT
cana-4116	268	3	(	(	PUNCT
cana-4116	268	4	{	{	PUNCT
cana-4116	268	5	.5	.5	NUM
cana-4116	268	6	,	,	PUNCT
cana-4116	268	7	.6	.6	NUM
cana-4116	268	8	,	,	PUNCT
cana-4116	268	9	.7	.7	PROPN
cana-4116	268	10	,	,	PUNCT
cana-4116	268	11	}	}	PUNCT
cana-4116	268	12	,	,	PUNCT
cana-4116	268	13	{	{	PUNCT
cana-4116	268	14	.3	.3	NUM
cana-4116	268	15	,	,	PUNCT
cana-4116	268	16	.5	.5	NUM
cana-4116	268	17	,	,	PUNCT
cana-4116	268	18	.6	.6	NUM
cana-4116	268	19	}	}	PUNCT
cana-4116	268	20	)	)	PUNCT
cana-4116	268	21	,	,	PUNCT
cana-4116	268	22	(	(	PUNCT
cana-4116	268	23	{	{	PUNCT
cana-4116	268	24	.2	.2	NUM
cana-4116	268	25	,	,	PUNCT
cana-4116	268	26	.3	.3	NUM
cana-4116	268	27	,	,	PUNCT
cana-4116	268	28	.4	.4	NUM
cana-4116	268	29	}	}	PUNCT
cana-4116	268	30	,	,	PUNCT
cana-4116	268	31	{	{	PUNCT
cana-4116	268	32	.4	.4	NUM
cana-4116	268	33	,	,	PUNCT
cana-4116	268	34	.5	.5	NUM
cana-4116	268	35	,	,	PUNCT
cana-4116	268	36	.6	.6	NUM
cana-4116	268	37	}	}	PUNCT
cana-4116	268	38	)	)	PUNCT
cana-4116	268	39	a_3	a_3	PROPN
cana-4116	269	1	=	=	PUNCT
cana-4116	269	2	(	(	PUNCT
cana-4116	269	3	{	{	PUNCT
cana-4116	269	4	.4	.4	PROPN
cana-4116	269	5	,	,	PUNCT
cana-4116	269	6	.5	.5	NUM
cana-4116	269	7	,	,	PUNCT
cana-4116	269	8	.6	.6	NUM
cana-4116	269	9	,	,	PUNCT
cana-4116	269	10	}	}	PUNCT
cana-4116	269	11	,	,	PUNCT
cana-4116	269	12	{	{	PUNCT
cana-4116	269	13	.2	.2	NUM
cana-4116	269	14	,	,	PUNCT
cana-4116	269	15	.3	.3	NUM
cana-4116	269	16	,	,	PUNCT
cana-4116	269	17	.4	.4	NUM
cana-4116	269	18	}	}	PUNCT
cana-4116	269	19	)	)	PUNCT
cana-4116	269	20	,	,	PUNCT
cana-4116	269	21	(	(	PUNCT
cana-4116	269	22	{	{	PUNCT
cana-4116	269	23	.1	.1	NOUN
cana-4116	269	24	,	,	PUNCT
cana-4116	269	25	.2	.2	NUM
cana-4116	269	26	,	,	PUNCT
cana-4116	269	27	.4	.4	NUM
cana-4116	269	28	}	}	PUNCT
cana-4116	269	29	,	,	PUNCT
cana-4116	269	30	{	{	PUNCT
cana-4116	269	31	.4	.4	NUM
cana-4116	269	32	,	,	PUNCT
cana-4116	269	33	.5	.5	NUM
cana-4116	269	34	,	,	PUNCT
cana-4116	269	35	.6	.6	NUM
cana-4116	269	36	}	}	PUNCT
cana-4116	269	37	)	)	PUNCT
cana-4116	269	38	3.3	3.3	NUM
cana-4116	269	39	comparative	comparative	ADJ
cana-4116	269	40	study	study	NOUN
cana-4116	269	41	applying	apply	VERB
cana-4116	269	42	the	the	DET
cana-4116	269	43	weight	weight	NOUN
cana-4116	269	44	calculation	calculation	NOUN
cana-4116	269	45	mechanism	mechanism	NOUN
cana-4116	269	46	,	,	PUNCT
cana-4116	269	47	we	we	PRON
cana-4116	269	48	evaluate	evaluate	VERB
cana-4116	269	49	the	the	DET
cana-4116	269	50	existing	exist	VERB
cana-4116	269	51	dhf	dhf	NOUN
cana-4116	269	52	entropy	entropy	NOUN
cana-4116	269	53	measurements	measurement	NOUN
cana-4116	269	54	given	give	VERB
cana-4116	269	55	in	in	ADP
cana-4116	269	56	eq.(1)-(3	eq.(1)-(3	PROPN
cana-4116	269	57	)	)	PUNCT
cana-4116	269	58	and	and	CCONJ
cana-4116	269	59	compare	compare	VERB
cana-4116	269	60	these	these	PRON
cana-4116	269	61	with	with	ADP
cana-4116	269	62	our	our	PRON
cana-4116	269	63	suggested	suggest	VERB
cana-4116	269	64	dhf	dhf	NOUN
cana-4116	269	65	knowledge	knowledge	NOUN
cana-4116	269	66	measure	measure	NOUN
cana-4116	269	67	given	give	VERB
cana-4116	269	68	in	in	ADP
cana-4116	269	69	eq.(5	eq.(5	NOUN
cana-4116	269	70	)	)	PUNCT
cana-4116	269	71	.	.	PUNCT
cana-4116	270	1	assume	assume	VERB
cana-4116	270	2	that	that	SCONJ
cana-4116	270	3	we	we	PRON
cana-4116	270	4	have	have	VERB
cana-4116	270	5	a	a	DET
cana-4116	270	6	madm	madm	NOUN
cana-4116	270	7	issue	issue	NOUN
cana-4116	270	8	with	with	ADP
cana-4116	270	9	two	two	NUM
cana-4116	270	10	attributes	attribute	NOUN
cana-4116	270	11	{	{	PUNCT
cana-4116	270	12	𝑄1	𝑄1	PROPN
cana-4116	270	13	,	,	PUNCT
cana-4116	270	14	𝑄2	𝑄2	PROPN
cana-4116	270	15	}	}	PUNCT
cana-4116	270	16	,	,	PUNCT
cana-4116	270	17	and	and	CCONJ
cana-4116	270	18	three	three	NUM
cana-4116	270	19	alternatives	alternative	NOUN
cana-4116	270	20	{	{	PUNCT
cana-4116	270	21	𝐴1	𝐴1	PROPN
cana-4116	270	22	,	,	PUNCT
cana-4116	270	23	𝐴2	𝐴2	PROPN
cana-4116	270	24	,	,	PUNCT
cana-4116	270	25	𝐴3	𝐴3	PROPN
cana-4116	270	26	}	}	PUNCT
cana-4116	270	27	.	.	PUNCT
cana-4116	271	1	the	the	DET
cana-4116	271	2	weight	weight	NOUN
cana-4116	271	3	calculating	calculate	VERB
cana-4116	271	4	process	process	NOUN
cana-4116	271	5	is	be	AUX
cana-4116	271	6	displayed	display	VERB
cana-4116	271	7	in	in	ADP
cana-4116	271	8	singh	singh	PROPN
cana-4116	271	9	et	et	PROPN
cana-4116	271	10	al	al	PROPN
cana-4116	271	11	.	.	PROPN
cana-4116	271	12	’s	’s	PART
cana-4116	271	13	2019	2019	NUM
cana-4116	271	14	publication	publication	NOUN
cana-4116	271	15	.	.	PUNCT
cana-4116	272	1	in	in	ADP
cana-4116	272	2	examples	example	NOUN
cana-4116	272	3	1	1	NUM
cana-4116	272	4	-	-	SYM
cana-4116	272	5	3	3	NUM
cana-4116	272	6	,	,	PUNCT
cana-4116	272	7	we	we	PRON
cana-4116	272	8	use	use	VERB
cana-4116	272	9	dhf	dhf	NOUN
cana-4116	272	10	entropy	entropy	NOUN
cana-4116	272	11	and	and	CCONJ
cana-4116	272	12	dhf	dhf	VERB
cana-4116	272	13	knowledge	knowledge	NOUN
cana-4116	272	14	measure	measure	NOUN
cana-4116	272	15	to	to	PART
cana-4116	272	16	compute	compute	VERB
cana-4116	272	17	weights	weight	NOUN
cana-4116	272	18	.	.	PUNCT
cana-4116	273	1	examples	example	NOUN
cana-4116	273	2	1–3	1–3	NUM
cana-4116	273	3	given	give	VERB
cana-4116	273	4	below	below	ADP
cana-4116	273	5	show	show	VERB
cana-4116	273	6	how	how	SCONJ
cana-4116	273	7	our	our	PRON
cana-4116	273	8	suggested	suggest	VERB
cana-4116	273	9	dhf	dhf	NOUN
cana-4116	273	10	knowledge	knowledge	NOUN
cana-4116	273	11	measure	measure	NOUN
cana-4116	273	12	performs	perform	VERB
cana-4116	273	13	in	in	ADP
cana-4116	273	14	comparison	comparison	NOUN
cana-4116	273	15	to	to	ADP
cana-4116	273	16	some	some	PRON
cana-4116	273	17	of	of	ADP
cana-4116	273	18	the	the	DET
cana-4116	273	19	existing	exist	VERB
cana-4116	273	20	dhf	dhf	NOUN
cana-4116	273	21	entropies	entropy	NOUN
cana-4116	273	22	.	.	PUNCT
cana-4116	274	1	communications	communication	NOUN
cana-4116	274	2	on	on	ADP
cana-4116	274	3	applied	apply	VERB
cana-4116	274	4	nonlinear	nonlinear	ADJ
cana-4116	274	5	analysis	analysis	NOUN
cana-4116	274	6	issn	issn	NOUN
cana-4116	274	7	:	:	PUNCT
cana-4116	274	8	1074	1074	NUM
cana-4116	274	9	-	-	PUNCT
cana-4116	274	10	133x	133x	NUM
cana-4116	274	11	vol	vol	NOUN
cana-4116	274	12	32	32	NUM
cana-4116	274	13	no	no	NOUN
cana-4116	274	14	.	.	PUNCT
cana-4116	275	1	9s	9s	NUM
cana-4116	275	2	(	(	PUNCT
cana-4116	275	3	2025	2025	NUM
cana-4116	275	4	)	)	PUNCT
cana-4116	275	5	1097	1097	NUM
cana-4116	275	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	275	7	example	example	NOUN
cana-4116	275	8	1	1	NUM
cana-4116	275	9	consider	consider	VERB
cana-4116	275	10	𝐷1	𝐷1	NOUN
cana-4116	275	11	is	be	AUX
cana-4116	275	12	a	a	DET
cana-4116	275	13	decision	decision	NOUN
cana-4116	275	14	matrix	matrix	NOUN
cana-4116	275	15	corresponding	correspond	VERB
cana-4116	275	16	to	to	PART
cana-4116	275	17	set	set	VERB
cana-4116	275	18	of	of	ADP
cana-4116	275	19	alternatives	alternative	NOUN
cana-4116	275	20	{	{	PUNCT
cana-4116	275	21	𝐴1	𝐴1	PROPN
cana-4116	275	22	,	,	PUNCT
cana-4116	275	23	𝐴2	𝐴2	PROPN
cana-4116	275	24	,	,	PUNCT
cana-4116	275	25	𝐴3	𝐴3	PROPN
cana-4116	275	26	}	}	PUNCT
cana-4116	275	27	and	and	CCONJ
cana-4116	275	28	a	a	DET
cana-4116	275	29	set	set	NOUN
cana-4116	275	30	of	of	ADP
cana-4116	275	31	attributes	attribute	NOUN
cana-4116	275	32	{	{	PUNCT
cana-4116	275	33	𝑄1	𝑄1	PROPN
cana-4116	275	34	,	,	PUNCT
cana-4116	275	35	𝑄2	𝑄2	PROPN
cana-4116	275	36	}	}	PUNCT
cana-4116	275	37	established	establish	VERB
cana-4116	275	38	in	in	ADP
cana-4116	275	39	an	an	DET
cana-4116	275	40	hesitant	hesitant	ADJ
cana-4116	275	41	fuzzy	fuzzy	ADJ
cana-4116	275	42	environment	environment	NOUN
cana-4116	275	43	.	.	PUNCT
cana-4116	276	1	𝐷1	𝐷1	NOUN
cana-4116	276	2	=	=	PUNCT
cana-4116	276	3	q_1	q_1	PROPN
cana-4116	276	4	,	,	PUNCT
cana-4116	276	5	q_2	q_2	NOUN
cana-4116	276	6	a_1	a_1	NOUN
cana-4116	276	7	=	=	SYM
cana-4116	276	8	(	(	PUNCT
cana-4116	276	9	{	{	PUNCT
cana-4116	276	10	.3	.3	NUM
cana-4116	276	11	,	,	PUNCT
cana-4116	276	12	.4	.4	NUM
cana-4116	276	13	,	,	PUNCT
cana-4116	276	14	.6	.6	NUM
cana-4116	276	15	,	,	PUNCT
cana-4116	276	16	}	}	PUNCT
cana-4116	276	17	,	,	PUNCT
cana-4116	276	18	{	{	PUNCT
cana-4116	276	19	.1	.1	NOUN
cana-4116	276	20	,	,	PUNCT
cana-4116	276	21	.2	.2	NUM
cana-4116	276	22	,	,	PUNCT
cana-4116	276	23	.4	.4	NUM
cana-4116	276	24	}	}	PUNCT
cana-4116	276	25	)	)	PUNCT
cana-4116	276	26	,	,	PUNCT
cana-4116	276	27	(	(	PUNCT
cana-4116	276	28	{	{	PUNCT
cana-4116	276	29	.3	.3	NUM
cana-4116	276	30	,	,	PUNCT
cana-4116	276	31	.5	.5	NUM
cana-4116	276	32	,	,	PUNCT
cana-4116	276	33	.6	.6	NUM
cana-4116	276	34	}	}	PUNCT
cana-4116	276	35	,	,	PUNCT
cana-4116	276	36	{	{	PUNCT
cana-4116	276	37	.5	.5	NUM
cana-4116	276	38	,	,	PUNCT
cana-4116	276	39	.6	.6	NUM
cana-4116	276	40	,	,	PUNCT
cana-4116	276	41	.7	.7	PROPN
cana-4116	276	42	}	}	PUNCT
cana-4116	276	43	)	)	PUNCT
cana-4116	277	1	a_2	a_2	PROPN
cana-4116	277	2	=	=	PUNCT
cana-4116	277	3	(	(	PUNCT
cana-4116	277	4	{	{	PUNCT
cana-4116	277	5	.5	.5	NUM
cana-4116	277	6	,	,	PUNCT
cana-4116	277	7	.6	.6	NUM
cana-4116	277	8	,	,	PUNCT
cana-4116	277	9	.7	.7	PROPN
cana-4116	277	10	,	,	PUNCT
cana-4116	277	11	}	}	PUNCT
cana-4116	277	12	,	,	PUNCT
cana-4116	277	13	{	{	PUNCT
cana-4116	277	14	.3	.3	NUM
cana-4116	277	15	,	,	PUNCT
cana-4116	277	16	.5	.5	NUM
cana-4116	277	17	,	,	PUNCT
cana-4116	277	18	.6	.6	NUM
cana-4116	277	19	}	}	PUNCT
cana-4116	277	20	)	)	PUNCT
cana-4116	277	21	,	,	PUNCT
cana-4116	277	22	(	(	PUNCT
cana-4116	277	23	{	{	PUNCT
cana-4116	277	24	.2	.2	NUM
cana-4116	277	25	,	,	PUNCT
cana-4116	277	26	.3	.3	NUM
cana-4116	277	27	,	,	PUNCT
cana-4116	277	28	.4	.4	NUM
cana-4116	277	29	}	}	PUNCT
cana-4116	277	30	,	,	PUNCT
cana-4116	277	31	{	{	PUNCT
cana-4116	277	32	.4	.4	NUM
cana-4116	277	33	,	,	PUNCT
cana-4116	277	34	.5	.5	NUM
cana-4116	277	35	,	,	PUNCT
cana-4116	277	36	.6	.6	NUM
cana-4116	277	37	}	}	PUNCT
cana-4116	277	38	)	)	PUNCT
cana-4116	277	39	a_3	a_3	PROPN
cana-4116	278	1	=	=	PUNCT
cana-4116	278	2	(	(	PUNCT
cana-4116	278	3	{	{	PUNCT
cana-4116	278	4	.4	.4	PROPN
cana-4116	278	5	,	,	PUNCT
cana-4116	278	6	.5	.5	NUM
cana-4116	278	7	,	,	PUNCT
cana-4116	278	8	.6	.6	NUM
cana-4116	278	9	,	,	PUNCT
cana-4116	278	10	}	}	PUNCT
cana-4116	278	11	,	,	PUNCT
cana-4116	278	12	{	{	PUNCT
cana-4116	278	13	.2	.2	NUM
cana-4116	278	14	,	,	PUNCT
cana-4116	278	15	.3	.3	NUM
cana-4116	278	16	,	,	PUNCT
cana-4116	278	17	.4	.4	NUM
cana-4116	278	18	}	}	PUNCT
cana-4116	278	19	)	)	PUNCT
cana-4116	278	20	,	,	PUNCT
cana-4116	278	21	(	(	PUNCT
cana-4116	278	22	{	{	PUNCT
cana-4116	278	23	.1	.1	NOUN
cana-4116	278	24	,	,	PUNCT
cana-4116	278	25	.2	.2	NUM
cana-4116	278	26	,	,	PUNCT
cana-4116	278	27	.4	.4	NUM
cana-4116	278	28	}	}	PUNCT
cana-4116	278	29	,	,	PUNCT
cana-4116	278	30	{	{	PUNCT
cana-4116	278	31	.4	.4	NUM
cana-4116	278	32	,	,	PUNCT
cana-4116	278	33	.5	.5	NUM
cana-4116	278	34	,	,	PUNCT
cana-4116	278	35	.6	.6	NUM
cana-4116	278	36	}	}	PUNCT
cana-4116	278	37	)	)	PUNCT
cana-4116	278	38	table	table	NOUN
cana-4116	278	39	1	1	NUM
cana-4116	278	40	:	:	PUNCT
cana-4116	278	41	comparison	comparison	NOUN
cana-4116	278	42	of	of	ADP
cana-4116	278	43	𝑵𝑴	𝑵𝑴	PROPN
cana-4116	278	44	with	with	ADP
cana-4116	278	45	𝑬𝟏	𝑬𝟏	NOUN
cana-4116	278	46	𝑁𝑀(𝛼	𝑁𝑀(𝛼	NOUN
cana-4116	278	47	=	=	SYM
cana-4116	278	48	2	2	NUM
cana-4116	278	49	,	,	PUNCT
cana-4116	278	50	𝛽	𝛽	NOUN
cana-4116	278	51	=	=	SYM
cana-4116	278	52	1	1	NUM
cana-4116	278	53	)	)	PUNCT
cana-4116	278	54	𝐸1(𝛼	𝐸1(𝛼	NOUN
cana-4116	278	55	=	=	SYM
cana-4116	278	56	2	2	X
cana-4116	278	57	)	)	PUNCT
cana-4116	278	58	𝑤𝑄1	𝑤𝑄1	PROPN
cana-4116	278	59	0.5279	0.5279	NUM
cana-4116	278	60	0.5000	0.5000	NUM
cana-4116	278	61	𝑤𝑄2	𝑤𝑄2	NOUN
cana-4116	278	62	0.4721	0.4721	NUM
cana-4116	278	63	0.5000	0.5000	NUM
cana-4116	278	64	table	table	NOUN
cana-4116	278	65	1	1	NUM
cana-4116	278	66	shows	show	VERB
cana-4116	278	67	that	that	SCONJ
cana-4116	278	68	both	both	DET
cana-4116	278	69	attributes	attribute	NOUN
cana-4116	278	70	have	have	VERB
cana-4116	278	71	the	the	DET
cana-4116	278	72	same	same	ADJ
cana-4116	278	73	weights	weight	NOUN
cana-4116	278	74	assigned	assign	VERB
cana-4116	278	75	to	to	ADP
cana-4116	278	76	them	they	PRON
cana-4116	278	77	by	by	ADP
cana-4116	278	78	the	the	DET
cana-4116	278	79	ambiguity	ambiguity	NOUN
cana-4116	278	80	content	content	NOUN
cana-4116	278	81	as	as	SCONJ
cana-4116	278	82	assessed	assess	VERB
cana-4116	278	83	by	by	ADP
cana-4116	278	84	the	the	DET
cana-4116	278	85	current	current	ADJ
cana-4116	278	86	entropy	entropy	NOUN
cana-4116	278	87	measure	measure	NOUN
cana-4116	278	88	.	.	PUNCT
cana-4116	279	1	however	however	ADV
cana-4116	279	2	,	,	PUNCT
cana-4116	279	3	it	it	PRON
cana-4116	279	4	is	be	AUX
cana-4116	279	5	evident	evident	ADJ
cana-4116	279	6	that	that	SCONJ
cana-4116	279	7	the	the	DET
cana-4116	279	8	suggested	suggested	ADJ
cana-4116	279	9	𝑁𝑀	𝑁𝑀	PROPN
cana-4116	279	10	gives	give	VERB
cana-4116	279	11	various	various	ADJ
cana-4116	279	12	weights	weight	NOUN
cana-4116	279	13	.	.	PUNCT
cana-4116	279	14	example	example	NOUN
cana-4116	280	1	2	2	NUM
cana-4116	280	2	let	let	VERB
cana-4116	280	3	us	we	PRON
cana-4116	280	4	consider	consider	VERB
cana-4116	280	5	the	the	DET
cana-4116	280	6	𝐷2	𝐷2	NOUN
cana-4116	280	7	decision	decision	NOUN
cana-4116	280	8	matrix	matrix	NOUN
cana-4116	280	9	.	.	PUNCT
cana-4116	281	1	𝐷2	𝐷2	PROPN
cana-4116	281	2	=	=	PUNCT
cana-4116	281	3	q_1	q_1	PROPN
cana-4116	281	4	,	,	PUNCT
cana-4116	281	5	q_2	q_2	NOUN
cana-4116	281	6	a_1	a_1	NOUN
cana-4116	281	7	=	=	PUNCT
cana-4116	281	8	(	(	PUNCT
cana-4116	281	9	{	{	PUNCT
cana-4116	281	10	.2	.2	NUM
cana-4116	281	11	,	,	PUNCT
cana-4116	281	12	.3	.3	NUM
cana-4116	281	13	,	,	PUNCT
cana-4116	281	14	.5	.5	NUM
cana-4116	281	15	}	}	PUNCT
cana-4116	281	16	,	,	PUNCT
cana-4116	281	17	{	{	PUNCT
cana-4116	281	18	.1	.1	NOUN
cana-4116	281	19	,	,	PUNCT
cana-4116	281	20	.4	.4	NUM
cana-4116	281	21	,	,	PUNCT
cana-4116	281	22	.6	.6	NUM
cana-4116	281	23	}	}	PUNCT
cana-4116	281	24	)	)	PUNCT
cana-4116	281	25	,	,	PUNCT
cana-4116	281	26	(	(	PUNCT
cana-4116	281	27	{	{	PUNCT
cana-4116	281	28	.2	.2	NUM
cana-4116	281	29	,	,	PUNCT
cana-4116	281	30	.3	.3	NUM
cana-4116	281	31	,	,	PUNCT
cana-4116	281	32	.6	.6	NUM
cana-4116	281	33	}	}	PUNCT
cana-4116	281	34	,	,	PUNCT
cana-4116	281	35	{	{	PUNCT
cana-4116	281	36	.3	.3	NUM
cana-4116	281	37	,	,	PUNCT
cana-4116	281	38	.4	.4	NUM
cana-4116	281	39	,	,	PUNCT
cana-4116	281	40	.6	.6	NUM
cana-4116	281	41	}	}	PUNCT
cana-4116	281	42	)	)	PUNCT
cana-4116	281	43	a_2	a_2	PROPN
cana-4116	281	44	=	=	PUNCT
cana-4116	281	45	(	(	PUNCT
cana-4116	281	46	{	{	PUNCT
cana-4116	281	47	.3	.3	NUM
cana-4116	281	48	,	,	PUNCT
cana-4116	281	49	.4	.4	NUM
cana-4116	281	50	,	,	PUNCT
cana-4116	281	51	.6	.6	NUM
cana-4116	281	52	}	}	PUNCT
cana-4116	281	53	,	,	PUNCT
cana-4116	281	54	{	{	PUNCT
cana-4116	281	55	.2	.2	NUM
cana-4116	281	56	,	,	PUNCT
cana-4116	281	57	.3	.3	NUM
cana-4116	281	58	,	,	PUNCT
cana-4116	281	59	.6	.6	NUM
cana-4116	281	60	}	}	PUNCT
cana-4116	281	61	)	)	PUNCT
cana-4116	281	62	,	,	PUNCT
cana-4116	281	63	(	(	PUNCT
cana-4116	281	64	{	{	PUNCT
cana-4116	281	65	.3	.3	NUM
cana-4116	281	66	,	,	PUNCT
cana-4116	281	67	.4	.4	NUM
cana-4116	281	68	,	,	PUNCT
cana-4116	281	69	.6	.6	NUM
cana-4116	281	70	}	}	PUNCT
cana-4116	281	71	,	,	PUNCT
cana-4116	281	72	{	{	PUNCT
cana-4116	281	73	.2	.2	NUM
cana-4116	281	74	,	,	PUNCT
cana-4116	281	75	.5	.5	NUM
cana-4116	281	76	,	,	PUNCT
cana-4116	281	77	.5	.5	NUM
cana-4116	281	78	}	}	PUNCT
cana-4116	281	79	)	)	PUNCT
cana-4116	281	80	a_3	a_3	PROPN
cana-4116	281	81	=	=	PUNCT
cana-4116	281	82	(	(	PUNCT
cana-4116	281	83	{	{	PUNCT
cana-4116	281	84	.2	.2	NUM
cana-4116	281	85	,	,	PUNCT
cana-4116	281	86	.4	.4	NUM
cana-4116	281	87	,	,	PUNCT
cana-4116	281	88	.6	.6	NUM
cana-4116	281	89	}	}	PUNCT
cana-4116	281	90	,	,	PUNCT
cana-4116	281	91	{	{	PUNCT
cana-4116	281	92	.3	.3	NUM
cana-4116	281	93	,	,	PUNCT
cana-4116	281	94	.5	.5	NUM
cana-4116	281	95	,	,	PUNCT
cana-4116	281	96	.5	.5	NUM
cana-4116	281	97	}	}	PUNCT
cana-4116	281	98	)	)	PUNCT
cana-4116	281	99	,	,	PUNCT
cana-4116	281	100	(	(	PUNCT
cana-4116	281	101	{	{	PUNCT
cana-4116	281	102	.1	.1	PROPN
cana-4116	281	103	,	,	PUNCT
cana-4116	281	104	.3	.3	NUM
cana-4116	281	105	,	,	PUNCT
cana-4116	281	106	.6	.6	NUM
cana-4116	281	107	}	}	PUNCT
cana-4116	281	108	,	,	PUNCT
cana-4116	281	109	{	{	PUNCT
cana-4116	281	110	.2	.2	NUM
cana-4116	281	111	,	,	PUNCT
cana-4116	281	112	.4	.4	NUM
cana-4116	281	113	,	,	PUNCT
cana-4116	281	114	.5	.5	NUM
cana-4116	281	115	}	}	PUNCT
cana-4116	281	116	)	)	PUNCT
cana-4116	281	117	table	table	NOUN
cana-4116	281	118	2	2	NUM
cana-4116	281	119	:	:	PUNCT
cana-4116	281	120	comparison	comparison	NOUN
cana-4116	281	121	of	of	ADP
cana-4116	281	122	𝑵𝑴	𝑵𝑴	PROPN
cana-4116	281	123	with	with	ADP
cana-4116	281	124	𝑬𝟐	𝑬𝟐	PROPN
cana-4116	281	125	𝑁𝑀(𝛼	𝑁𝑀(𝛼	NOUN
cana-4116	281	126	=	=	SYM
cana-4116	281	127	2	2	NUM
cana-4116	281	128	,	,	PUNCT
cana-4116	281	129	𝛽	𝛽	NOUN
cana-4116	281	130	=	=	SYM
cana-4116	281	131	1	1	NUM
cana-4116	281	132	)	)	PUNCT
cana-4116	281	133	𝐸2(𝛼	𝐸2(𝛼	PROPN
cana-4116	281	134	=	=	SYM
cana-4116	281	135	2	2	X
cana-4116	281	136	)	)	PUNCT
cana-4116	281	137	𝑤𝑄1	𝑤𝑄1	PROPN
cana-4116	281	138	0.5279	0.5279	NUM
cana-4116	281	139	0.5000	0.5000	NUM
cana-4116	281	140	𝑤𝑄1	𝑤𝑄1	PROPN
cana-4116	281	141	0.4721	0.4721	NUM
cana-4116	281	142	0.5000	0.5000	NUM
cana-4116	281	143	table	table	NOUN
cana-4116	281	144	2	2	NUM
cana-4116	281	145	shows	show	VERB
cana-4116	281	146	that	that	SCONJ
cana-4116	281	147	both	both	DET
cana-4116	281	148	attributes	attribute	NOUN
cana-4116	281	149	have	have	VERB
cana-4116	281	150	the	the	DET
cana-4116	281	151	same	same	ADJ
cana-4116	281	152	weights	weight	NOUN
cana-4116	281	153	assigned	assign	VERB
cana-4116	281	154	to	to	ADP
cana-4116	281	155	them	they	PRON
cana-4116	281	156	by	by	ADP
cana-4116	281	157	the	the	DET
cana-4116	281	158	ambiguity	ambiguity	NOUN
cana-4116	281	159	content	content	NOUN
cana-4116	281	160	as	as	SCONJ
cana-4116	281	161	assessed	assess	VERB
cana-4116	281	162	by	by	ADP
cana-4116	281	163	the	the	DET
cana-4116	281	164	current	current	ADJ
cana-4116	281	165	entropy	entropy	NOUN
cana-4116	281	166	measure	measure	NOUN
cana-4116	281	167	.	.	PUNCT
cana-4116	282	1	however	however	ADV
cana-4116	282	2	,	,	PUNCT
cana-4116	282	3	it	it	PRON
cana-4116	282	4	is	be	AUX
cana-4116	282	5	evident	evident	ADJ
cana-4116	282	6	that	that	SCONJ
cana-4116	282	7	the	the	DET
cana-4116	282	8	suggested	suggested	ADJ
cana-4116	282	9	𝑁𝑀	𝑁𝑀	PROPN
cana-4116	282	10	gives	give	VERB
cana-4116	282	11	various	various	ADJ
cana-4116	282	12	weights	weight	NOUN
cana-4116	282	13	.	.	PUNCT
cana-4116	282	14	example	example	NOUN
cana-4116	282	15	3	3	NUM
cana-4116	282	16	consider	consider	VERB
cana-4116	282	17	the	the	DET
cana-4116	282	18	decision	decision	NOUN
cana-4116	282	19	matrix	matrix	NOUN
cana-4116	282	20	𝐷3	𝐷3	PROPN
cana-4116	282	21	.	.	PUNCT
cana-4116	283	1	𝐷3	𝐷3	PROPN
cana-4116	283	2	=	=	NOUN
cana-4116	283	3	matrix	matrix	NOUN
cana-4116	283	4	example	example	NOUN
cana-4116	283	5	𝑄1	𝑄1	PROPN
cana-4116	283	6	,	,	PUNCT
cana-4116	283	7	𝑄2	𝑄2	PROPN
cana-4116	283	8	communications	communication	NOUN
cana-4116	283	9	on	on	ADP
cana-4116	283	10	applied	apply	VERB
cana-4116	283	11	nonlinear	nonlinear	ADJ
cana-4116	283	12	analysis	analysis	NOUN
cana-4116	283	13	issn	issn	NOUN
cana-4116	283	14	:	:	PUNCT
cana-4116	283	15	1074	1074	NUM
cana-4116	283	16	-	-	PUNCT
cana-4116	283	17	133x	133x	NUM
cana-4116	283	18	vol	vol	NOUN
cana-4116	283	19	32	32	NUM
cana-4116	283	20	no	no	NOUN
cana-4116	283	21	.	.	PUNCT
cana-4116	284	1	9s	9s	NUM
cana-4116	284	2	(	(	PUNCT
cana-4116	284	3	2025	2025	NUM
cana-4116	284	4	)	)	PUNCT
cana-4116	284	5	1098	1098	NUM
cana-4116	285	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	285	2	𝐴1	𝐴1	PROPN
cana-4116	285	3	=	=	SYM
cana-4116	285	4	(	(	PUNCT
cana-4116	285	5	{	{	PUNCT
cana-4116	285	6	0.2,0.4,0.8	0.2,0.4,0.8	NUM
cana-4116	285	7	}	}	PUNCT
cana-4116	285	8	,	,	PUNCT
cana-4116	285	9	{	{	PUNCT
cana-4116	285	10	0.3,0.6,0.7})({0.3,0.4,0.401	0.3,0.6,0.7})({0.3,0.4,0.401	NOUN
cana-4116	285	11	}	}	PUNCT
cana-4116	285	12	,	,	PUNCT
cana-4116	285	13	{	{	PUNCT
cana-4116	285	14	0.1,0.2,0.37	0.1,0.2,0.37	PROPN
cana-4116	285	15	}	}	PUNCT
cana-4116	285	16	)	)	PUNCT
cana-4116	285	17	𝐴2	𝐴2	PROPN
cana-4116	285	18	=	=	SYM
cana-4116	285	19	(	(	PUNCT
cana-4116	285	20	{	{	PUNCT
cana-4116	285	21	0.21,0.3,0.9	0.21,0.3,0.9	NOUN
cana-4116	285	22	}	}	PUNCT
cana-4116	285	23	,	,	PUNCT
cana-4116	285	24	{	{	PUNCT
cana-4116	285	25	0.6,0.7,0.8})({0.2,0.6,0.7	0.6,0.7,0.8})({0.2,0.6,0.7	ADV
cana-4116	285	26	}	}	PUNCT
cana-4116	285	27	,	,	PUNCT
cana-4116	285	28	{	{	PUNCT
cana-4116	285	29	0.3,0.4,0.8	0.3,0.4,0.8	NOUN
cana-4116	285	30	}	}	PUNCT
cana-4116	285	31	)	)	PUNCT
cana-4116	285	32	𝐴3	𝐴3	PROPN
cana-4116	285	33	=	=	SYM
cana-4116	285	34	(	(	PUNCT
cana-4116	285	35	{	{	PUNCT
cana-4116	285	36	0.2,0.6,0.9	0.2,0.6,0.9	NOUN
cana-4116	285	37	}	}	PUNCT
cana-4116	285	38	,	,	PUNCT
cana-4116	285	39	{	{	PUNCT
cana-4116	285	40	0.3,0.4,0.4})({0.2,0.3,0.9	0.3,0.4,0.4})({0.2,0.3,0.9	NOUN
cana-4116	285	41	}	}	PUNCT
cana-4116	285	42	,	,	PUNCT
cana-4116	285	43	{	{	PUNCT
cana-4116	285	44	0.5,0.6,0.7	0.5,0.6,0.7	NOUN
cana-4116	285	45	}	}	PUNCT
cana-4116	285	46	)	)	PUNCT
cana-4116	285	47	table	table	NOUN
cana-4116	285	48	3	3	NUM
cana-4116	285	49	:	:	PUNCT
cana-4116	285	50	comparison	comparison	NOUN
cana-4116	285	51	of	of	ADP
cana-4116	285	52	𝑵𝑴	𝑵𝑴	PROPN
cana-4116	285	53	with	with	ADP
cana-4116	285	54	𝑬𝟑	𝑬𝟑	NOUN
cana-4116	285	55	𝑁𝑀(𝛼	𝑁𝑀(𝛼	NOUN
cana-4116	285	56	=	=	SYM
cana-4116	285	57	2	2	NUM
cana-4116	285	58	,	,	PUNCT
cana-4116	285	59	𝛽	𝛽	NOUN
cana-4116	285	60	=	=	SYM
cana-4116	285	61	1	1	NUM
cana-4116	285	62	)	)	PUNCT
cana-4116	285	63	𝐸3(𝛼	𝐸3(𝛼	PUNCT
cana-4116	286	1	=	=	SYM
cana-4116	286	2	2	2	X
cana-4116	286	3	)	)	PUNCT
cana-4116	286	4	𝑤𝑄1	𝑤𝑄1	PROPN
cana-4116	286	5	0.4613	0.4613	NUM
cana-4116	286	6	0.5000	0.5000	NUM
cana-4116	286	7	𝑤𝑄2	𝑤𝑄2	NOUN
cana-4116	286	8	0.5387	0.5387	NUM
cana-4116	286	9	0.5000	0.5000	NUM
cana-4116	286	10	we	we	PRON
cana-4116	286	11	note	note	VERB
cana-4116	286	12	that	that	SCONJ
cana-4116	286	13	the	the	DET
cana-4116	286	14	existing	exist	VERB
cana-4116	286	15	entropy	entropy	NOUN
cana-4116	286	16	measure	measure	NOUN
cana-4116	286	17	,	,	PUNCT
cana-4116	286	18	which	which	PRON
cana-4116	286	19	determines	determine	VERB
cana-4116	286	20	the	the	DET
cana-4116	286	21	ambiguity	ambiguity	NOUN
cana-4116	286	22	content	content	NOUN
cana-4116	286	23	,	,	PUNCT
cana-4116	286	24	gives	give	VERB
cana-4116	286	25	equal	equal	ADJ
cana-4116	286	26	weights	weight	NOUN
cana-4116	286	27	to	to	ADP
cana-4116	286	28	the	the	DET
cana-4116	286	29	two	two	NUM
cana-4116	286	30	attributes	attribute	NOUN
cana-4116	286	31	.	.	PUNCT
cana-4116	287	1	nonetheless	nonetheless	ADV
cana-4116	287	2	,	,	PUNCT
cana-4116	287	3	it	it	PRON
cana-4116	287	4	is	be	AUX
cana-4116	287	5	evident	evident	ADJ
cana-4116	287	6	that	that	SCONJ
cana-4116	287	7	the	the	DET
cana-4116	287	8	suggested	suggest	VERB
cana-4116	287	9	knowledge	knowledge	NOUN
cana-4116	287	10	measure	measure	NOUN
cana-4116	287	11	gives	give	VERB
cana-4116	287	12	various	various	ADJ
cana-4116	287	13	weights	weight	NOUN
cana-4116	287	14	.	.	PUNCT
cana-4116	288	1	we	we	PRON
cana-4116	288	2	note	note	VERB
cana-4116	288	3	from	from	ADP
cana-4116	288	4	example	example	NOUN
cana-4116	288	5	1	1	NUM
cana-4116	288	6	-	-	SYM
cana-4116	288	7	3	3	NUM
cana-4116	288	8	that	that	PRON
cana-4116	288	9	we	we	PRON
cana-4116	288	10	obtain	obtain	VERB
cana-4116	288	11	the	the	DET
cana-4116	288	12	same	same	ADJ
cana-4116	288	13	weights	weight	NOUN
cana-4116	288	14	for	for	ADP
cana-4116	288	15	all	all	DET
cana-4116	288	16	the	the	DET
cana-4116	288	17	qualities	quality	NOUN
cana-4116	288	18	when	when	SCONJ
cana-4116	288	19	we	we	PRON
cana-4116	288	20	use	use	VERB
cana-4116	288	21	the	the	DET
cana-4116	288	22	current	current	ADJ
cana-4116	288	23	entropy	entropy	NOUN
cana-4116	288	24	measures	measure	NOUN
cana-4116	288	25	.	.	PUNCT
cana-4116	289	1	however	however	ADV
cana-4116	289	2	,	,	PUNCT
cana-4116	289	3	we	we	PRON
cana-4116	289	4	obtain	obtain	VERB
cana-4116	289	5	different	different	ADJ
cana-4116	289	6	weights	weight	NOUN
cana-4116	289	7	if	if	SCONJ
cana-4116	289	8	we	we	PRON
cana-4116	289	9	apply	apply	VERB
cana-4116	289	10	our	our	PRON
cana-4116	289	11	proposed	propose	VERB
cana-4116	289	12	dhf	dhf	NOUN
cana-4116	289	13	knowledge	knowledge	NOUN
cana-4116	289	14	measure	measure	NOUN
cana-4116	289	15	.	.	PUNCT
cana-4116	290	1	as	as	ADP
cana-4116	290	2	such	such	ADJ
cana-4116	290	3	,	,	PUNCT
cana-4116	290	4	a	a	DET
cana-4116	290	5	new	new	ADJ
cana-4116	290	6	strategy	strategy	NOUN
cana-4116	290	7	is	be	AUX
cana-4116	290	8	always	always	ADV
cana-4116	290	9	required	require	VERB
cana-4116	290	10	.	.	PUNCT
cana-4116	291	1	furthermore	furthermore	ADV
cana-4116	291	2	,	,	PUNCT
cana-4116	291	3	we	we	PRON
cana-4116	291	4	compare	compare	VERB
cana-4116	291	5	our	our	PRON
cana-4116	291	6	proposed	propose	VERB
cana-4116	291	7	knowledge	knowledge	NOUN
cana-4116	291	8	measure	measure	NOUN
cana-4116	291	9	given	give	VERB
cana-4116	291	10	in	in	ADP
cana-4116	291	11	eq.(5	eq.(5	NOUN
cana-4116	291	12	)	)	PUNCT
cana-4116	291	13	with	with	ADP
cana-4116	291	14	distance	distance	NOUN
cana-4116	291	15	based	base	VERB
cana-4116	291	16	entropy	entropy	NOUN
cana-4116	291	17	given	give	VERB
cana-4116	291	18	in	in	ADP
cana-4116	291	19	eq.(4	eq.(4	ADJ
cana-4116	291	20	)	)	PUNCT
cana-4116	291	21	.	.	PUNCT
cana-4116	292	1	example	example	NOUN
cana-4116	292	2	4	4	NUM
cana-4116	292	3	let	let	VERB
cana-4116	292	4	𝑑𝐸	𝑑𝐸	ADJ
cana-4116	292	5	and	and	CCONJ
cana-4116	292	6	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	292	7	be	be	VERB
cana-4116	292	8	two	two	NUM
cana-4116	292	9	dhfes	dhfe	NOUN
cana-4116	292	10	,	,	PUNCT
cana-4116	292	11	and	and	CCONJ
cana-4116	292	12	𝑑𝐸	𝑑𝐸	ADV
cana-4116	292	13	=	=	SYM
cana-4116	292	14	{	{	PUNCT
cana-4116	292	15	{	{	PUNCT
cana-4116	292	16	.1	.1	PROPN
cana-4116	292	17	,	,	PUNCT
cana-4116	292	18	.3	.3	NUM
cana-4116	292	19	,	,	PUNCT
cana-4116	292	20	.6	.6	NUM
cana-4116	292	21	}	}	PUNCT
cana-4116	292	22	,	,	PUNCT
cana-4116	292	23	{	{	PUNCT
cana-4116	292	24	.2	.2	NUM
cana-4116	292	25	,	,	PUNCT
cana-4116	292	26	.5	.5	NUM
cana-4116	292	27	,	,	PUNCT
cana-4116	292	28	.7	.7	PROPN
cana-4116	292	29	}	}	PUNCT
cana-4116	292	30	}	}	PUNCT
cana-4116	292	31	,	,	PUNCT
cana-4116	292	32	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	292	33	=	=	SYM
cana-4116	292	34	{	{	PUNCT
cana-4116	292	35	{	{	PUNCT
cana-4116	292	36	.2	.2	NUM
cana-4116	292	37	,	,	PUNCT
cana-4116	292	38	.4	.4	NUM
cana-4116	292	39	,	,	PUNCT
cana-4116	292	40	.6	.6	NUM
cana-4116	292	41	}	}	PUNCT
cana-4116	292	42	,	,	PUNCT
cana-4116	292	43	{	{	PUNCT
cana-4116	292	44	.3	.3	NUM
cana-4116	292	45	,	,	PUNCT
cana-4116	292	46	.7	.7	PROPN
cana-4116	292	47	,	,	PUNCT
cana-4116	292	48	.7	.7	PROPN
cana-4116	292	49	}	}	PUNCT
cana-4116	292	50	}	}	PUNCT
cana-4116	292	51	.	.	PUNCT
cana-4116	293	1	table	table	NOUN
cana-4116	293	2	4	4	NUM
cana-4116	293	3	:	:	PUNCT
cana-4116	293	4	comparison	comparison	NOUN
cana-4116	293	5	of	of	ADP
cana-4116	293	6	𝑵𝑴	𝑵𝑴	PROPN
cana-4116	293	7	with	with	ADP
cana-4116	293	8	𝑬(𝒅𝑬	𝑬(𝒅𝑬	PROPN
cana-4116	293	9	,	,	PUNCT
cana-4116	293	10	𝒇𝑬	𝒇𝑬	NUM
cana-4116	293	11	)	)	PUNCT
cana-4116	293	12	dhfes	dhfe	VERB
cana-4116	293	13	𝐸(𝑑𝐸	𝐸(𝑑𝐸	PROPN
cana-4116	293	14	,	,	PUNCT
cana-4116	293	15	𝑓𝐸)(𝛼	𝑓𝐸)(𝛼	NOUN
cana-4116	293	16	=	=	SYM
cana-4116	293	17	2	2	NUM
cana-4116	293	18	,	,	PUNCT
cana-4116	293	19	𝛽	𝛽	NOUN
cana-4116	293	20	=	=	SYM
cana-4116	293	21	1	1	NUM
cana-4116	293	22	)	)	PUNCT
cana-4116	293	23	𝑁𝑀(𝛼	𝑁𝑀(𝛼	NOUN
cana-4116	293	24	=	=	SYM
cana-4116	293	25	2	2	X
cana-4116	293	26	)	)	PUNCT
cana-4116	293	27	𝑑𝐸	𝑑𝐸	NOUN
cana-4116	294	1	0.1000	0.1000	NUM
cana-4116	294	2	0.1414	0.1414	NUM
cana-4116	294	3	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	294	4	0.1000	0.1000	NUM
cana-4116	294	5	0.1915	0.1915	NUM
cana-4116	294	6	the	the	DET
cana-4116	294	7	data	datum	NOUN
cana-4116	294	8	in	in	ADP
cana-4116	294	9	table	table	NOUN
cana-4116	294	10	4	4	NUM
cana-4116	294	11	show	show	VERB
cana-4116	294	12	that	that	SCONJ
cana-4116	294	13	the	the	DET
cana-4116	294	14	entropy	entropy	NOUN
cana-4116	294	15	𝐸(𝑑𝐸	𝐸(𝑑𝐸	PROPN
cana-4116	294	16	,	,	PUNCT
cana-4116	294	17	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	294	18	)	)	PUNCT
cana-4116	294	19	have	have	VERB
cana-4116	294	20	no	no	DET
cana-4116	294	21	difference	difference	NOUN
cana-4116	294	22	between	between	ADP
cana-4116	294	23	dhfes	dhfe	NOUN
cana-4116	294	24	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	294	25	and	and	CCONJ
cana-4116	294	26	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	294	27	.	.	PUNCT
cana-4116	295	1	however	however	ADV
cana-4116	295	2	,	,	PUNCT
cana-4116	295	3	the	the	DET
cana-4116	295	4	proposed	propose	VERB
cana-4116	295	5	knowledge	knowledge	NOUN
cana-4116	295	6	measure	measure	NOUN
cana-4116	295	7	of	of	ADP
cana-4116	295	8	𝑁𝑀	𝑁𝑀	PROPN
cana-4116	295	9	can	can	AUX
cana-4116	295	10	clearly	clearly	ADV
cana-4116	295	11	distinguish	distinguish	VERB
cana-4116	295	12	the	the	DET
cana-4116	295	13	entropy	entropy	NOUN
cana-4116	295	14	of	of	ADP
cana-4116	295	15	dhfes	dhfe	NOUN
cana-4116	295	16	𝑑𝐸	𝑑𝐸	PROPN
cana-4116	295	17	and	and	CCONJ
cana-4116	295	18	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	295	19	.	.	PUNCT
cana-4116	296	1	our	our	PRON
cana-4116	296	2	knowledge	knowledge	NOUN
cana-4116	296	3	measure	measure	NOUN
cana-4116	296	4	is	be	AUX
cana-4116	296	5	better	well	ADJ
cana-4116	296	6	than	than	ADP
cana-4116	296	7	the	the	DET
cana-4116	296	8	entropy	entropy	NOUN
cana-4116	296	9	measure	measure	NOUN
cana-4116	296	10	proposed	propose	VERB
cana-4116	296	11	by	by	ADP
cana-4116	296	12	zhang	zhang	PROPN
cana-4116	297	1	[	[	X
cana-4116	297	2	21	21	NUM
cana-4116	297	3	]	]	PUNCT
cana-4116	297	4	for	for	ADP
cana-4116	297	5	this	this	DET
cana-4116	297	6	example	example	NOUN
cana-4116	297	7	.	.	PUNCT
cana-4116	298	1	3.4	3.4	NUM
cana-4116	298	2	proposed	propose	VERB
cana-4116	298	3	dhf	dhf	NOUN
cana-4116	298	4	accuracy	accuracy	NOUN
cana-4116	298	5	measure	measure	NOUN
cana-4116	298	6	there	there	PRON
cana-4116	298	7	is	be	VERB
cana-4116	298	8	a	a	DET
cana-4116	298	9	correspondence	correspondence	NOUN
cana-4116	298	10	between	between	ADP
cana-4116	298	11	the	the	DET
cana-4116	298	12	amount	amount	NOUN
cana-4116	298	13	of	of	ADP
cana-4116	298	14	reluctant	reluctant	ADJ
cana-4116	298	15	fuzzy	fuzzy	ADJ
cana-4116	298	16	knowledge	knowledge	NOUN
cana-4116	298	17	and	and	CCONJ
cana-4116	298	18	the	the	DET
cana-4116	298	19	quantity	quantity	NOUN
cana-4116	298	20	of	of	ADP
cana-4116	298	21	hesitant	hesitant	ADJ
cana-4116	298	22	fuzzy	fuzzy	ADJ
cana-4116	298	23	accuracy	accuracy	NOUN
cana-4116	298	24	.	.	PUNCT
cana-4116	299	1	as	as	ADP
cana-4116	299	2	a	a	DET
cana-4116	299	3	generalization	generalization	NOUN
cana-4116	299	4	of	of	ADP
cana-4116	299	5	the	the	DET
cana-4116	299	6	dhf	dhf	NOUN
cana-4116	299	7	knowledge	knowledge	NOUN
cana-4116	299	8	measure	measure	NOUN
cana-4116	299	9	,	,	PUNCT
cana-4116	299	10	we	we	PRON
cana-4116	299	11	propose	propose	VERB
cana-4116	299	12	dhf	dhf	NOUN
cana-4116	299	13	accuracy	accuracy	NOUN
cana-4116	299	14	measure	measure	NOUN
cana-4116	299	15	.	.	PUNCT
cana-4116	300	1	𝐼𝑎𝑐𝑐(𝑑𝐸	𝐼𝑎𝑐𝑐(𝑑𝐸	PROPN
cana-4116	300	2	,	,	PUNCT
cana-4116	300	3	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	300	4	)	)	PUNCT
cana-4116	300	5	=	=	SYM
cana-4116	300	6	(	(	PUNCT
cana-4116	300	7	1	1	NUM
cana-4116	300	8	𝑙	𝑙	X
cana-4116	300	9	∑𝑛	∑𝑛	PROPN
cana-4116	300	10	𝑖=1	𝑖=1	PROPN
cana-4116	300	11	∑𝑡	∑𝑡	PROPN
cana-4116	300	12	𝑗=1	𝑗=1	PROPN
cana-4116	300	13	|(ℎ1	|(ℎ1	PROPN
cana-4116	300	14	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	300	15	)	)	PUNCT
cana-4116	300	16	(	(	PUNCT
cana-4116	300	17	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	300	18	)	)	PUNCT
cana-4116	300	19	)	)	PUNCT
cana-4116	300	20	1	1	NUM
cana-4116	300	21	2(ℎ2	2(ℎ2	NUM
cana-4116	300	22	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	300	23	)	)	PUNCT
cana-4116	300	24	(	(	PUNCT
cana-4116	300	25	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	300	26	)	)	PUNCT
cana-4116	300	27	)	)	PUNCT
cana-4116	300	28	1	1	NUM
cana-4116	300	29	2	2	NUM
cana-4116	300	30	−	−	NOUN
cana-4116	300	31	(	(	PUNCT
cana-4116	300	32	𝑘1	𝑘1	PROPN
cana-4116	300	33	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	300	34	)	)	PUNCT
cana-4116	300	35	(	(	PUNCT
cana-4116	300	36	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	300	37	)	)	PUNCT
cana-4116	300	38	)	)	PUNCT
cana-4116	300	39	1	1	NUM
cana-4116	300	40	2(𝑘2	2(𝑘2	NUM
cana-4116	300	41	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	300	42	)	)	PUNCT
cana-4116	300	43	(	(	PUNCT
cana-4116	300	44	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	300	45	)	)	PUNCT
cana-4116	300	46	)	)	PUNCT
cana-4116	300	47	1	1	NUM
cana-4116	301	1	2|	2|	NUM
cana-4116	301	2	𝛼	𝛼	PRON
cana-4116	301	3	2−𝛽	2−𝛽	NUM
cana-4116	301	4	)	)	PUNCT
cana-4116	301	5	2−𝛽	2−𝛽	NUM
cana-4116	302	1	𝛼	𝛼	NOUN
cana-4116	302	2	,	,	PUNCT
cana-4116	302	3	𝛼	𝛼	X
cana-4116	302	4	>	>	X
cana-4116	302	5	0	0	NUM
cana-4116	302	6	,	,	PUNCT
cana-4116	302	7	(	(	PUNCT
cana-4116	302	8	6	6	X
cana-4116	302	9	)	)	PUNCT
cana-4116	302	10	communications	communication	NOUN
cana-4116	302	11	on	on	ADP
cana-4116	302	12	applied	apply	VERB
cana-4116	302	13	nonlinear	nonlinear	ADJ
cana-4116	302	14	analysis	analysis	NOUN
cana-4116	302	15	issn	issn	NOUN
cana-4116	302	16	:	:	PUNCT
cana-4116	302	17	1074	1074	NUM
cana-4116	302	18	-	-	PUNCT
cana-4116	302	19	133x	133x	NUM
cana-4116	302	20	vol	vol	NOUN
cana-4116	302	21	32	32	NUM
cana-4116	302	22	no	no	NOUN
cana-4116	302	23	.	.	PUNCT
cana-4116	303	1	9s	9s	NUM
cana-4116	303	2	(	(	PUNCT
cana-4116	303	3	2025	2025	NUM
cana-4116	303	4	)	)	PUNCT
cana-4116	303	5	1099	1099	NUM
cana-4116	303	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	303	7	where	where	SCONJ
cana-4116	303	8	𝑑𝐸	𝑑𝐸	ADV
cana-4116	303	9	=	=	SYM
cana-4116	303	10	(	(	PUNCT
cana-4116	303	11	(	(	PUNCT
cana-4116	303	12	ℎ1	ℎ1	PROPN
cana-4116	303	13	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	303	14	)	)	PUNCT
cana-4116	303	15	(	(	PUNCT
cana-4116	303	16	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	303	17	)	)	PUNCT
cana-4116	303	18	,	,	PUNCT
cana-4116	303	19	𝑘1	𝑘1	PROPN
cana-4116	303	20	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	303	21	)	)	PUNCT
cana-4116	303	22	(	(	PUNCT
cana-4116	303	23	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	303	24	)	)	PUNCT
cana-4116	303	25	)	)	PUNCT
cana-4116	303	26	and	and	CCONJ
cana-4116	303	27	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	303	28	=	=	SYM
cana-4116	303	29	(	(	PUNCT
cana-4116	303	30	(	(	PUNCT
cana-4116	303	31	ℎ2	ℎ2	ADJ
cana-4116	303	32	𝜎(𝑗	𝜎(𝑗	NUM
cana-4116	303	33	)	)	PUNCT
cana-4116	303	34	(	(	PUNCT
cana-4116	303	35	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	303	36	)	)	PUNCT
cana-4116	303	37	,	,	PUNCT
cana-4116	303	38	𝑘2	𝑘2	PROPN
cana-4116	303	39	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	303	40	)	)	PUNCT
cana-4116	303	41	(	(	PUNCT
cana-4116	303	42	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	303	43	)	)	PUNCT
cana-4116	303	44	)	)	PUNCT
cana-4116	303	45	are	be	AUX
cana-4116	303	46	two	two	NUM
cana-4116	303	47	dhfss	dhfss	NOUN
cana-4116	303	48	.	.	PUNCT
cana-4116	304	1	𝑑𝐸	𝑑𝐸	NOUN
cana-4116	304	2	=	=	SYM
cana-4116	304	3	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	304	4	in	in	ADP
cana-4116	304	5	eq.(6	eq.(6	ADJ
cana-4116	304	6	)	)	PUNCT
cana-4116	304	7	yields	yield	VERB
cana-4116	304	8	𝐼𝑎𝑐𝑐(𝑑𝐸	𝐼𝑎𝑐𝑐(𝑑𝐸	PROPN
cana-4116	304	9	,	,	PUNCT
cana-4116	304	10	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	304	11	)	)	PUNCT
cana-4116	304	12	=	=	SYM
cana-4116	304	13	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	304	14	)	)	PUNCT
cana-4116	304	15	.	.	PUNCT
cana-4116	305	1	by	by	ADP
cana-4116	305	2	multiplying	multiply	VERB
cana-4116	305	3	with	with	ADP
cana-4116	305	4	𝑤𝑖	𝑤𝑖	PRON
cana-4116	305	5	,	,	PUNCT
cana-4116	305	6	we	we	PRON
cana-4116	305	7	obtain	obtain	VERB
cana-4116	305	8	the	the	DET
cana-4116	305	9	weighted	weight	VERB
cana-4116	305	10	version	version	NOUN
cana-4116	305	11	𝐼𝑎𝑐𝑐	𝐼𝑎𝑐𝑐	PROPN
cana-4116	305	12	𝑤	𝑤	PROPN
cana-4116	305	13	(	(	PUNCT
cana-4116	305	14	𝑑𝐸	𝑑𝐸	ADV
cana-4116	305	15	,	,	PUNCT
cana-4116	305	16	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	305	17	)	)	PUNCT
cana-4116	305	18	of	of	ADP
cana-4116	305	19	the	the	DET
cana-4116	305	20	dhf	dhf	NOUN
cana-4116	305	21	accuracy	accuracy	NOUN
cana-4116	305	22	from	from	ADP
cana-4116	305	23	eq.(6	eq.(6	ADJ
cana-4116	305	24	)	)	PUNCT
cana-4116	305	25	.	.	PUNCT
cana-4116	306	1	it	it	PRON
cana-4116	306	2	is	be	AUX
cana-4116	306	3	evident	evident	ADJ
cana-4116	306	4	from	from	ADP
cana-4116	306	5	eq.(6	eq.(6	ADJ
cana-4116	306	6	)	)	PUNCT
cana-4116	306	7	that	that	SCONJ
cana-4116	306	8	the	the	DET
cana-4116	306	9	dhf	dhf	NOUN
cana-4116	306	10	accuracy	accuracy	NOUN
cana-4116	306	11	𝐼𝑎𝑐𝑐(𝑑𝐸	𝐼𝑎𝑐𝑐(𝑑𝐸	PROPN
cana-4116	306	12	,	,	PUNCT
cana-4116	306	13	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	306	14	)	)	PUNCT
cana-4116	306	15	for	for	ADP
cana-4116	306	16	𝑑𝐸	𝑑𝐸	NOUN
cana-4116	306	17	=	=	SYM
cana-4116	306	18	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	306	19	is	be	AUX
cana-4116	306	20	obtained	obtain	VERB
cana-4116	306	21	as	as	ADP
cana-4116	306	22	a	a	DET
cana-4116	306	23	particular	particular	ADJ
cana-4116	306	24	instance	instance	NOUN
cana-4116	306	25	of	of	ADP
cana-4116	306	26	the	the	DET
cana-4116	306	27	dhf	dhf	NOUN
cana-4116	306	28	knowledge	knowledge	NOUN
cana-4116	306	29	measure	measure	NOUN
cana-4116	306	30	𝑁𝑀(𝑑𝐸	𝑁𝑀(𝑑𝐸	PROPN
cana-4116	306	31	)	)	PUNCT
cana-4116	306	32	.	.	PUNCT
cana-4116	307	1	we	we	PRON
cana-4116	307	2	suggest	suggest	VERB
cana-4116	307	3	using	use	VERB
cana-4116	307	4	𝐼𝑎𝑐𝑐(𝑑𝐸	𝐼𝑎𝑐𝑐(𝑑𝐸	PROPN
cana-4116	307	5	,	,	PUNCT
cana-4116	307	6	𝑓𝐸	𝑓𝐸	NOUN
cana-4116	307	7	)	)	PUNCT
cana-4116	307	8	as	as	ADP
cana-4116	307	9	an	an	DET
cana-4116	307	10	accuracy	accuracy	NOUN
cana-4116	307	11	measure	measure	NOUN
cana-4116	307	12	to	to	PART
cana-4116	307	13	identify	identify	VERB
cana-4116	307	14	the	the	DET
cana-4116	307	15	asymmetric	asymmetric	ADJ
cana-4116	307	16	comparison	comparison	NOUN
cana-4116	307	17	of	of	ADP
cana-4116	307	18	two	two	NUM
cana-4116	307	19	sets	set	NOUN
cana-4116	307	20	.	.	PUNCT
cana-4116	308	1	we	we	PRON
cana-4116	308	2	demonstrate	demonstrate	VERB
cana-4116	308	3	the	the	DET
cana-4116	308	4	use	use	NOUN
cana-4116	308	5	of	of	ADP
cana-4116	308	6	the	the	DET
cana-4116	308	7	topsis	topsis	NOUN
cana-4116	308	8	approach	approach	NOUN
cana-4116	308	9	to	to	PART
cana-4116	308	10	apply	apply	VERB
cana-4116	308	11	our	our	PRON
cana-4116	308	12	proposed	propose	VERB
cana-4116	308	13	dhf	dhf	NOUN
cana-4116	308	14	knowledge	knowledge	NOUN
cana-4116	308	15	measure	measure	NOUN
cana-4116	308	16	in	in	ADP
cana-4116	308	17	madm	madm	NOUN
cana-4116	308	18	in	in	ADP
cana-4116	308	19	the	the	DET
cana-4116	308	20	next	next	ADJ
cana-4116	308	21	section	section	NOUN
cana-4116	308	22	.	.	PUNCT
cana-4116	309	1	4	4	NUM
cana-4116	309	2	evaluation	evaluation	NOUN
cana-4116	309	3	method	method	NOUN
cana-4116	309	4	of	of	ADP
cana-4116	309	5	madm	madm	NOUN
cana-4116	309	6	madm	madm	NOUN
cana-4116	309	7	difficulties	difficulty	NOUN
cana-4116	309	8	are	be	AUX
cana-4116	309	9	related	relate	VERB
cana-4116	309	10	to	to	PART
cana-4116	309	11	discrete	discrete	VERB
cana-4116	309	12	choice	choice	NOUN
cana-4116	309	13	spaces	space	NOUN
cana-4116	309	14	where	where	SCONJ
cana-4116	309	15	there	there	PRON
cana-4116	309	16	are	be	VERB
cana-4116	309	17	several	several	ADJ
cana-4116	309	18	predefined	predefine	VERB
cana-4116	309	19	alternatives	alternative	NOUN
cana-4116	309	20	.	.	PUNCT
cana-4116	310	1	it	it	PRON
cana-4116	310	2	is	be	AUX
cana-4116	310	3	employed	employ	VERB
cana-4116	310	4	to	to	PART
cana-4116	310	5	select	select	VERB
cana-4116	310	6	the	the	DET
cana-4116	310	7	best	good	ADJ
cana-4116	310	8	option	option	NOUN
cana-4116	310	9	from	from	ADP
cana-4116	310	10	a	a	DET
cana-4116	310	11	range	range	NOUN
cana-4116	310	12	of	of	ADP
cana-4116	310	13	options	option	NOUN
cana-4116	310	14	.	.	PUNCT
cana-4116	311	1	making	make	VERB
cana-4116	311	2	decisions	decision	NOUN
cana-4116	311	3	in	in	ADP
cana-4116	311	4	a	a	DET
cana-4116	311	5	scenario	scenario	NOUN
cana-4116	311	6	with	with	ADP
cana-4116	311	7	several	several	ADJ
cana-4116	311	8	homogeneous	homogeneous	ADJ
cana-4116	311	9	options	option	NOUN
cana-4116	311	10	and	and	CCONJ
cana-4116	311	11	determining	determine	VERB
cana-4116	311	12	the	the	DET
cana-4116	311	13	best	good	ADJ
cana-4116	311	14	ones	one	NOUN
cana-4116	311	15	are	be	AUX
cana-4116	311	16	part	part	NOUN
cana-4116	311	17	of	of	ADP
cana-4116	311	18	the	the	DET
cana-4116	311	19	madm	madm	NOUN
cana-4116	311	20	process	process	NOUN
cana-4116	311	21	.	.	PUNCT
cana-4116	312	1	while	while	SCONJ
cana-4116	312	2	we	we	PRON
cana-4116	312	3	’re	’re	AUX
cana-4116	312	4	making	make	VERB
cana-4116	312	5	decisions	decision	NOUN
cana-4116	312	6	,	,	PUNCT
cana-4116	312	7	attribute	attribute	NOUN
cana-4116	312	8	weighting	weighting	NOUN
cana-4116	312	9	is	be	AUX
cana-4116	312	10	quite	quite	ADV
cana-4116	312	11	important	important	ADJ
cana-4116	312	12	.	.	PUNCT
cana-4116	313	1	the	the	DET
cana-4116	313	2	madm	madm	NOUN
cana-4116	313	3	mechanism	mechanism	NOUN
cana-4116	313	4	and	and	CCONJ
cana-4116	313	5	theory	theory	NOUN
cana-4116	313	6	have	have	AUX
cana-4116	313	7	been	be	AUX
cana-4116	313	8	employed	employ	VERB
cana-4116	313	9	recently	recently	ADV
cana-4116	313	10	in	in	ADP
cana-4116	313	11	modern	modern	ADJ
cana-4116	313	12	decision	decision	NOUN
cana-4116	313	13	science	science	NOUN
cana-4116	313	14	and	and	CCONJ
cana-4116	313	15	management	management	NOUN
cana-4116	313	16	science	science	NOUN
cana-4116	313	17	.	.	PUNCT
cana-4116	314	1	as	as	ADP
cana-4116	314	2	an	an	DET
cana-4116	314	3	objective	objective	ADJ
cana-4116	314	4	weight	weight	NOUN
cana-4116	314	5	computation	computation	NOUN
cana-4116	314	6	tool	tool	NOUN
cana-4116	314	7	,	,	PUNCT
cana-4116	314	8	the	the	DET
cana-4116	314	9	topsis	topsis	NOUN
cana-4116	314	10	technique	technique	NOUN
cana-4116	314	11	of	of	ADP
cana-4116	314	12	madm	madm	NOUN
cana-4116	314	13	in	in	ADP
cana-4116	314	14	a	a	DET
cana-4116	314	15	dhf	dhf	NOUN
cana-4116	314	16	environment	environment	NOUN
cana-4116	314	17	with	with	ADP
cana-4116	314	18	a	a	DET
cana-4116	314	19	dhf	dhf	NOUN
cana-4116	314	20	knowledge	knowledge	NOUN
cana-4116	314	21	measure	measure	NOUN
cana-4116	314	22	is	be	AUX
cana-4116	314	23	introduced	introduce	VERB
cana-4116	314	24	in	in	ADP
cana-4116	314	25	this	this	DET
cana-4116	314	26	part	part	NOUN
cana-4116	314	27	.	.	PUNCT
cana-4116	315	1	suppose	suppose	VERB
cana-4116	315	2	𝑆	𝑆	PROPN
cana-4116	315	3	=	=	SYM
cana-4116	315	4	{	{	PUNCT
cana-4116	315	5	𝐴1	𝐴1	PROPN
cana-4116	315	6	,	,	PUNCT
cana-4116	315	7	𝐴2	𝐴2	PROPN
cana-4116	315	8	,	,	PUNCT
cana-4116	315	9	.	.	PUNCT
cana-4116	315	10	.	.	PUNCT
cana-4116	316	1	.	.	PUNCT
cana-4116	317	1	,	,	PUNCT
cana-4116	318	1	𝐴𝑛	𝐴𝑛	NOUN
cana-4116	318	2	}	}	PUNCT
cana-4116	318	3	,	,	PUNCT
cana-4116	318	4	𝑄	𝑄	PROPN
cana-4116	318	5	=	=	PRON
cana-4116	318	6	{	{	PUNCT
cana-4116	318	7	𝑄1	𝑄1	PROPN
cana-4116	318	8	,	,	PUNCT
cana-4116	318	9	𝑄2	𝑄2	PROPN
cana-4116	318	10	,	,	PUNCT
cana-4116	318	11	.	.	PUNCT
cana-4116	318	12	.	.	PUNCT
cana-4116	318	13	.	.	PUNCT
cana-4116	319	1	,	,	PUNCT
cana-4116	319	2	𝑄𝑇	𝑄𝑇	PROPN
cana-4116	319	3	}	}	PUNCT
cana-4116	319	4	,	,	PUNCT
cana-4116	319	5	where	where	SCONJ
cana-4116	319	6	𝐴𝑖′𝑠	𝐴𝑖′𝑠	PROPN
cana-4116	319	7	represent	represent	VERB
cana-4116	319	8	alternatives	alternative	NOUN
cana-4116	319	9	and	and	CCONJ
cana-4116	319	10	𝑄𝑗′𝑠	𝑄𝑗′𝑠	PROPN
cana-4116	319	11	represent	represent	VERB
cana-4116	319	12	attributes	attribute	NOUN
cana-4116	319	13	.	.	PUNCT
cana-4116	320	1	let	let	VERB
cana-4116	320	2	𝑤	𝑤	VERB
cana-4116	320	3	=	=	SYM
cana-4116	320	4	(	(	PUNCT
cana-4116	320	5	𝑤1	𝑤1	VERB
cana-4116	320	6	,	,	PUNCT
cana-4116	320	7	𝑤2	𝑤2	NOUN
cana-4116	320	8	,	,	PUNCT
cana-4116	320	9	.	.	PUNCT
cana-4116	320	10	.	.	PUNCT
cana-4116	321	1	.	.	PUNCT
cana-4116	322	1	,	,	PUNCT
cana-4116	322	2	𝑤𝑇	𝑤𝑇	NOUN
cana-4116	322	3	)	)	PUNCT
cana-4116	322	4	,	,	PUNCT
cana-4116	322	5	where	where	SCONJ
cana-4116	322	6	𝑤𝑖′𝑠	𝑤𝑖′𝑠	PROPN
cana-4116	322	7	are	be	AUX
cana-4116	322	8	weight	weight	NOUN
cana-4116	322	9	of	of	ADP
cana-4116	322	10	attributes	attribute	NOUN
cana-4116	322	11	and	and	CCONJ
cana-4116	322	12	𝑤𝑗	𝑤𝑗	ADP
cana-4116	322	13	≥	≥	NOUN
cana-4116	322	14	0	0	NUM
cana-4116	322	15	;	;	PUNCT
cana-4116	322	16	∑𝑇	∑𝑇	PROPN
cana-4116	322	17	𝑗=1	𝑗=1	PUNCT
cana-4116	322	18	𝑤𝑗	𝑤𝑗	ADP
cana-4116	322	19	=	=	SYM
cana-4116	322	20	1	1	NUM
cana-4116	322	21	if	if	SCONJ
cana-4116	322	22	dual	dual	ADJ
cana-4116	322	23	-	-	PUNCT
cana-4116	322	24	hesitant	hesitant	ADJ
cana-4116	322	25	fuzzy	fuzzy	ADJ
cana-4116	322	26	elements	element	NOUN
cana-4116	322	27	are	be	AUX
cana-4116	322	28	used	use	VERB
cana-4116	322	29	by	by	ADP
cana-4116	322	30	the	the	DET
cana-4116	322	31	maker	maker	NOUN
cana-4116	322	32	of	of	ADP
cana-4116	322	33	decisions	decision	NOUN
cana-4116	322	34	to	to	PART
cana-4116	322	35	assess	assess	VERB
cana-4116	322	36	the	the	DET
cana-4116	322	37	attributes	attribute	NOUN
cana-4116	322	38	of	of	ADP
cana-4116	322	39	the	the	DET
cana-4116	322	40	available	available	ADJ
cana-4116	322	41	alternative	alternative	NOUN
cana-4116	322	42	.	.	PUNCT
cana-4116	323	1	we	we	PRON
cana-4116	323	2	therefore	therefore	ADV
cana-4116	323	3	have	have	VERB
cana-4116	323	4	a	a	DET
cana-4116	323	5	decision	decision	NOUN
cana-4116	323	6	matrix	matrix	NOUN
cana-4116	323	7	of	of	ADP
cana-4116	323	8	dual	dual	ADJ
cana-4116	323	9	-	-	PUNCT
cana-4116	323	10	hesitant	hesitant	ADJ
cana-4116	323	11	fuzzy	fuzzy	ADJ
cana-4116	323	12	elements	element	NOUN
cana-4116	323	13	,	,	PUNCT
cana-4116	323	14	𝐷	𝐷	NOUN
cana-4116	323	15	=	=	SYM
cana-4116	323	16	(	(	PUNCT
cana-4116	323	17	𝑎𝑖𝑗)𝑛𝑚.	𝑎𝑖𝑗)𝑛𝑚.	ADP
cana-4116	323	18	the	the	DET
cana-4116	323	19	optimum	optimum	ADJ
cana-4116	323	20	alternative	alternative	NOUN
cana-4116	323	21	can	can	AUX
cana-4116	323	22	be	be	AUX
cana-4116	323	23	obtained	obtain	VERB
cana-4116	323	24	by	by	ADP
cana-4116	323	25	following	follow	VERB
cana-4116	323	26	a	a	DET
cana-4116	323	27	few	few	ADJ
cana-4116	323	28	madm	madm	NOUN
cana-4116	323	29	procedures	procedure	NOUN
cana-4116	323	30	.	.	PUNCT
cana-4116	324	1	in	in	ADP
cana-4116	324	2	light	light	NOUN
cana-4116	324	3	of	of	ADP
cana-4116	324	4	our	our	PRON
cana-4116	324	5	proposed	propose	VERB
cana-4116	324	6	knowledge	knowledge	NOUN
cana-4116	324	7	measure	measure	NOUN
cana-4116	324	8	,	,	PUNCT
cana-4116	324	9	we	we	PRON
cana-4116	324	10	now	now	ADV
cana-4116	324	11	take	take	VERB
cana-4116	324	12	into	into	ADP
cana-4116	324	13	consideration	consideration	NOUN
cana-4116	324	14	the	the	DET
cana-4116	324	15	topsis	topsis	NOUN
cana-4116	324	16	approach	approach	NOUN
cana-4116	324	17	with	with	ADP
cana-4116	324	18	minor	minor	ADJ
cana-4116	324	19	modifications	modification	NOUN
cana-4116	324	20	.	.	PUNCT
cana-4116	325	1	algorithm	algorithm	PROPN
cana-4116	325	2	step1	step1	PROPN
cana-4116	325	3	:	:	PUNCT
cana-4116	325	4	build	build	VERB
cana-4116	325	5	the	the	DET
cana-4116	325	6	dhf	dhf	NOUN
cana-4116	325	7	decision	decision	NOUN
cana-4116	325	8	matrix	matrix	NOUN
cana-4116	325	9	𝐷	𝐷	NOUN
cana-4116	325	10	=	=	PUNCT
cana-4116	326	1	[	[	X
cana-4116	326	2	𝑎𝑖𝑗]𝑛𝑚	𝑎𝑖𝑗]𝑛𝑚	PROPN
cana-4116	326	3	with	with	ADP
cana-4116	326	4	the	the	DET
cana-4116	326	5	decision	decision	NOUN
cana-4116	326	6	-	-	PUNCT
cana-4116	326	7	maker	maker	NOUN
cana-4116	326	8	’s	’s	PART
cana-4116	326	9	ratings	rating	NOUN
cana-4116	326	10	in	in	ADP
cana-4116	326	11	it	it	PRON
cana-4116	326	12	..	..	PUNCT
cana-4116	327	1	step2	step2	PROPN
cana-4116	327	2	:	:	PUNCT
cana-4116	327	3	applying	apply	VERB
cana-4116	327	4	the	the	DET
cana-4116	327	5	optimistic	optimistic	ADJ
cana-4116	327	6	principle	principle	NOUN
cana-4116	327	7	—	—	PUNCT
cana-4116	327	8	that	that	ADV
cana-4116	327	9	is	is	ADV
cana-4116	327	10	,	,	PUNCT
cana-4116	327	11	repeating	repeat	VERB
cana-4116	327	12	the	the	DET
cana-4116	327	13	maximum	maximum	ADJ
cana-4116	327	14	value	value	NOUN
cana-4116	327	15	in	in	ADP
cana-4116	327	16	dhfes	dhfe	NOUN
cana-4116	327	17	-	-	PUNCT
cana-4116	327	18	make	make	VERB
cana-4116	327	19	all	all	PRON
cana-4116	327	20	dhfes	dhfe	VERB
cana-4116	327	21	the	the	DET
cana-4116	327	22	same	same	ADJ
cana-4116	327	23	length	length	NOUN
cana-4116	327	24	.	.	PUNCT
cana-4116	328	1	step3	step3	PROPN
cana-4116	328	2	:	:	PUNCT
cana-4116	328	3	convert	convert	VERB
cana-4116	328	4	the	the	DET
cana-4116	328	5	𝐷	𝐷	NOUN
cana-4116	328	6	=	=	PUNCT
cana-4116	329	1	[	[	X
cana-4116	329	2	𝑎𝑖𝑗]𝑛𝑚	𝑎𝑖𝑗]𝑛𝑚	ADJ
cana-4116	329	3	decision	decision	NOUN
cana-4116	329	4	matrix	matrix	NOUN
cana-4116	329	5	into	into	ADP
cana-4116	329	6	a	a	DET
cana-4116	329	7	normalized	normalize	VERB
cana-4116	329	8	decision	decision	NOUN
cana-4116	329	9	matrix	matrix	NOUN
cana-4116	329	10	𝑅	𝑅	NOUN
cana-4116	329	11	=	=	PUNCT
cana-4116	330	1	[	[	X
cana-4116	330	2	𝑟𝑖𝑗]𝑛𝑚	𝑟𝑖𝑗]𝑛𝑚	X
cana-4116	330	3	as	as	ADP
cana-4116	330	4	𝑟𝑖𝑗	𝑟𝑖𝑗	PROPN
cana-4116	330	5	=	=	SYM
cana-4116	330	6	{	{	PUNCT
cana-4116	330	7	ℎ𝜎(𝑗)(𝑢𝑖	ℎ𝜎(𝑗)(𝑢𝑖	PROPN
cana-4116	330	8	)	)	PUNCT
cana-4116	330	9	,	,	PUNCT
cana-4116	330	10	𝑘𝜎(𝑗)(𝑢𝑖	𝑘𝜎(𝑗)(𝑢𝑖	PROPN
cana-4116	330	11	)	)	PUNCT
cana-4116	330	12	}	}	PUNCT
cana-4116	330	13	,	,	PUNCT
cana-4116	330	14	𝑣𝑗	𝑣𝑗	ADP
cana-4116	330	15	is	be	AUX
cana-4116	330	16	benefit	benefit	NOUN
cana-4116	330	17	criteria	criterion	NOUN
cana-4116	330	18	;	;	PUNCT
cana-4116	330	19	{	{	PUNCT
cana-4116	330	20	𝑘𝜎(𝑗)(𝑢𝑖	𝑘𝜎(𝑗)(𝑢𝑖	PROPN
cana-4116	330	21	)	)	PUNCT
cana-4116	330	22	,	,	PUNCT
cana-4116	330	23	ℎ𝜎(𝑗)(𝑢𝑖	ℎ𝜎(𝑗)(𝑢𝑖	PROPN
cana-4116	330	24	)	)	PUNCT
cana-4116	330	25	}	}	PUNCT
cana-4116	330	26	,	,	PUNCT
cana-4116	330	27	𝑣𝑗	𝑣𝑗	ADP
cana-4116	330	28	is	be	AUX
cana-4116	330	29	cost	cost	NOUN
cana-4116	330	30	criteria	criterion	NOUN
cana-4116	330	31	.	.	PUNCT
cana-4116	331	1	step4	step4	PROPN
cana-4116	331	2	:	:	PUNCT
cana-4116	331	3	find	find	VERB
cana-4116	331	4	the	the	DET
cana-4116	331	5	dhf	dhf	NOUN
cana-4116	331	6	ideal	ideal	ADJ
cana-4116	331	7	solutions	solution	NOUN
cana-4116	331	8	,	,	PUNCT
cana-4116	331	9	𝑆+	𝑆+	NUM
cana-4116	331	10	and	and	CCONJ
cana-4116	331	11	𝑆−	𝑆−	NUM
cana-4116	331	12	,	,	PUNCT
cana-4116	331	13	that	that	PRON
cana-4116	331	14	are	be	AUX
cana-4116	331	15	fuzzy	fuzzy	ADJ
cana-4116	331	16	positive	positive	ADJ
cana-4116	331	17	and	and	CCONJ
cana-4116	331	18	negative	negative	ADJ
cana-4116	331	19	,	,	PUNCT
cana-4116	331	20	respectively	respectively	ADV
cana-4116	331	21	.	.	PUNCT
cana-4116	332	1	𝑆+	𝑆+	PRON
cana-4116	332	2	=	=	SYM
cana-4116	332	3	{	{	PUNCT
cana-4116	332	4	𝑚𝑎𝑥ℎ𝜎(𝑗)(𝑢𝑖	𝑚𝑎𝑥ℎ𝜎(𝑗)(𝑢𝑖	PROPN
cana-4116	332	5	)	)	PUNCT
cana-4116	332	6	,	,	PUNCT
cana-4116	332	7	𝑚𝑖𝑛𝑘𝜎(𝑗)(𝑢𝑖	𝑚𝑖𝑛𝑘𝜎(𝑗)(𝑢𝑖	PROPN
cana-4116	332	8	)	)	PUNCT
cana-4116	332	9	,	,	PUNCT
cana-4116	332	10	𝑣𝑗	𝑣𝑗	ADP
cana-4116	332	11	is	be	AUX
cana-4116	332	12	benefit	benefit	NOUN
cana-4116	332	13	criteria	criterion	NOUN
cana-4116	332	14	;	;	PUNCT
cana-4116	332	15	{	{	PUNCT
cana-4116	332	16	𝑚𝑖𝑛ℎ𝜎(𝑗)(𝑢𝑖	𝑚𝑖𝑛ℎ𝜎(𝑗)(𝑢𝑖	NOUN
cana-4116	332	17	)	)	PUNCT
cana-4116	332	18	,	,	PUNCT
cana-4116	332	19	𝑚𝑎𝑥𝑘𝜎(𝑗)(𝑢𝑖	𝑚𝑎𝑥𝑘𝜎(𝑗)(𝑢𝑖	PROPN
cana-4116	332	20	)	)	PUNCT
cana-4116	332	21	,	,	PUNCT
cana-4116	332	22	𝑣𝑗	𝑣𝑗	ADP
cana-4116	332	23	is	be	AUX
cana-4116	332	24	cost	cost	NOUN
cana-4116	332	25	criteria	criterion	NOUN
cana-4116	332	26	.	.	PUNCT
cana-4116	333	1	𝑆−	𝑆−	PROPN
cana-4116	333	2	=	=	SYM
cana-4116	333	3	{	{	PUNCT
cana-4116	333	4	𝑚𝑖𝑛ℎ𝜎(𝑗)(𝑢𝑖	𝑚𝑖𝑛ℎ𝜎(𝑗)(𝑢𝑖	NOUN
cana-4116	333	5	)	)	PUNCT
cana-4116	333	6	,	,	PUNCT
cana-4116	333	7	𝑚𝑎𝑥𝑘𝜎(𝑗)(𝑢𝑖	𝑚𝑎𝑥𝑘𝜎(𝑗)(𝑢𝑖	PROPN
cana-4116	333	8	)	)	PUNCT
cana-4116	333	9	,	,	PUNCT
cana-4116	333	10	𝑣𝑗	𝑣𝑗	ADP
cana-4116	333	11	is	be	AUX
cana-4116	333	12	benefit	benefit	NOUN
cana-4116	333	13	criteria	criterion	NOUN
cana-4116	333	14	;	;	PUNCT
cana-4116	333	15	{	{	PUNCT
cana-4116	333	16	𝑚𝑎𝑥ℎ𝜎(𝑗)(𝑢𝑖	𝑚𝑎𝑥ℎ𝜎(𝑗)(𝑢𝑖	NOUN
cana-4116	333	17	)	)	PUNCT
cana-4116	333	18	,	,	PUNCT
cana-4116	333	19	𝑚𝑖𝑛𝑘𝜎(𝑗)(𝑢𝑖	𝑚𝑖𝑛𝑘𝜎(𝑗)(𝑢𝑖	PROPN
cana-4116	333	20	)	)	PUNCT
cana-4116	333	21	,	,	PUNCT
cana-4116	333	22	𝑣𝑗	𝑣𝑗	ADP
cana-4116	333	23	is	be	AUX
cana-4116	333	24	cost	cost	NOUN
cana-4116	333	25	criteria	criterion	NOUN
cana-4116	333	26	.	.	PUNCT
cana-4116	334	1	communications	communication	NOUN
cana-4116	334	2	on	on	ADP
cana-4116	334	3	applied	apply	VERB
cana-4116	334	4	nonlinear	nonlinear	ADJ
cana-4116	334	5	analysis	analysis	NOUN
cana-4116	334	6	issn	issn	NOUN
cana-4116	334	7	:	:	PUNCT
cana-4116	334	8	1074	1074	NUM
cana-4116	334	9	-	-	PUNCT
cana-4116	334	10	133x	133x	NUM
cana-4116	334	11	vol	vol	NOUN
cana-4116	334	12	32	32	NUM
cana-4116	334	13	no	no	NOUN
cana-4116	334	14	.	.	PUNCT
cana-4116	335	1	9s	9s	NUM
cana-4116	335	2	(	(	PUNCT
cana-4116	335	3	2025	2025	NUM
cana-4116	335	4	)	)	PUNCT
cana-4116	335	5	1100	1100	NUM
cana-4116	336	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	336	2	step5	step5	PROPN
cana-4116	336	3	:	:	PUNCT
cana-4116	336	4	calculate	calculate	VERB
cana-4116	336	5	the	the	DET
cana-4116	336	6	attribute	attribute	NOUN
cana-4116	336	7	weights	weight	NOUN
cana-4116	336	8	using	use	VERB
cana-4116	336	9	the	the	DET
cana-4116	336	10	dhf	dhf	NOUN
cana-4116	336	11	knowledge	knowledge	NOUN
cana-4116	336	12	measure	measure	NOUN
cana-4116	336	13	.	.	PUNCT
cana-4116	337	1	𝑤𝑗	𝑤𝑗	PROPN
cana-4116	337	2	=	=	PUNCT
cana-4116	337	3	𝑁𝑀(𝑟𝑖𝑗	𝑁𝑀(𝑟𝑖𝑗	PROPN
cana-4116	337	4	)	)	PUNCT
cana-4116	338	1	∑𝑚	∑𝑚	PROPN
cana-4116	338	2	𝑖=1	𝑖=1	PROPN
cana-4116	338	3	𝑁𝑀(𝑟𝑖𝑗	𝑁𝑀(𝑟𝑖𝑗	PROPN
cana-4116	338	4	)	)	PUNCT
cana-4116	338	5	(	(	PUNCT
cana-4116	338	6	7	7	X
cana-4116	338	7	)	)	PUNCT
cana-4116	338	8	step6	step6	NOUN
cana-4116	338	9	:	:	PUNCT
cana-4116	338	10	determine	determine	VERB
cana-4116	338	11	the	the	DET
cana-4116	338	12	distance	distance	NOUN
cana-4116	338	13	between	between	ADP
cana-4116	338	14	the	the	DET
cana-4116	338	15	dual	dual	ADJ
cana-4116	338	16	-	-	PUNCT
cana-4116	338	17	hesitant	hesitant	ADJ
cana-4116	338	18	fuzzy	fuzzy	ADJ
cana-4116	338	19	positive	positive	ADJ
cana-4116	338	20	ideal	ideal	ADJ
cana-4116	338	21	solutions	solution	NOUN
cana-4116	338	22	or	or	CCONJ
cana-4116	338	23	the	the	DET
cana-4116	338	24	negative	negative	ADJ
cana-4116	338	25	ideal	ideal	ADJ
cana-4116	338	26	solutions	solution	NOUN
cana-4116	338	27	and	and	CCONJ
cana-4116	338	28	the	the	DET
cana-4116	338	29	alternative	alternative	NOUN
cana-4116	338	30	𝐴𝑖	𝐴𝑖	PROPN
cana-4116	338	31	as	as	ADP
cana-4116	338	32	:	:	PUNCT
cana-4116	338	33	𝑈+	𝑈+	PUNCT
cana-4116	338	34	=	=	SYM
cana-4116	339	1	𝐼𝑤	𝐼𝑤	PROPN
cana-4116	339	2	𝑎𝑐𝑐(𝐴𝑖	𝑎𝑐𝑐(𝐴𝑖	NOUN
cana-4116	339	3	,	,	PUNCT
cana-4116	339	4	𝑆+	𝑆+	NOUN
cana-4116	339	5	)	)	PUNCT
cana-4116	339	6	(	(	PUNCT
cana-4116	339	7	8)	8)	NUM
cana-4116	339	8	𝑈−	𝑈−	NUM
cana-4116	339	9	=	=	PUNCT
cana-4116	340	1	𝐼𝑤	𝐼𝑤	PROPN
cana-4116	340	2	𝑎𝑐𝑐(𝐴𝑖	𝑎𝑐𝑐(𝐴𝑖	PROPN
cana-4116	340	3	,	,	PUNCT
cana-4116	340	4	𝑆−	𝑆−	NUM
cana-4116	340	5	)	)	PUNCT
cana-4116	340	6	(	(	PUNCT
cana-4116	340	7	9	9	X
cana-4116	340	8	)	)	PUNCT
cana-4116	340	9	step7	step7	NOUN
cana-4116	340	10	:	:	PUNCT
cana-4116	340	11	find	find	VERB
cana-4116	340	12	the	the	DET
cana-4116	340	13	relative	relative	ADJ
cana-4116	340	14	closeness	closeness	NOUN
cana-4116	340	15	coefficients	coefficient	VERB
cana-4116	340	16	from	from	ADP
cana-4116	340	17	𝑈+	𝑈+	PUNCT
cana-4116	340	18	and	and	CCONJ
cana-4116	340	19	𝑈−	𝑈−	NOUN
cana-4116	340	20	for	for	ADP
cana-4116	340	21	each	each	PRON
cana-4116	340	22	of	of	ADP
cana-4116	340	23	the	the	DET
cana-4116	340	24	alternatives	alternative	NOUN
cana-4116	340	25	.	.	PUNCT
cana-4116	341	1	𝐶𝑖	𝐶𝑖	NOUN
cana-4116	341	2	=	=	PUNCT
cana-4116	341	3	𝑈−	𝑈−	NUM
cana-4116	341	4	𝑈++𝑈−	𝑈++𝑈−	PROPN
cana-4116	341	5	(	(	PUNCT
cana-4116	341	6	10	10	NUM
cana-4116	341	7	)	)	PUNCT
cana-4116	341	8	step8	step8	NOUN
cana-4116	341	9	:	:	PUNCT
cana-4116	341	10	rank	rank	VERB
cana-4116	341	11	each	each	DET
cana-4116	341	12	alternative	alternative	NOUN
cana-4116	341	13	by	by	ADP
cana-4116	341	14	closeness	closeness	NOUN
cana-4116	341	15	coefficient	coefficient	NOUN
cana-4116	341	16	in	in	ADP
cana-4116	341	17	descending	descend	VERB
cana-4116	341	18	order	order	NOUN
cana-4116	341	19	.	.	PUNCT
cana-4116	342	1	5	5	NUM
cana-4116	342	2	application	application	NOUN
cana-4116	342	3	of	of	ADP
cana-4116	342	4	proposed	propose	VERB
cana-4116	342	5	knowledge	knowledge	NOUN
cana-4116	342	6	measure	measure	NOUN
cana-4116	342	7	in	in	ADP
cana-4116	342	8	madm	madm	NOUN
cana-4116	342	9	problem	problem	NOUN
cana-4116	342	10	many	many	ADJ
cana-4116	342	11	developing	develop	VERB
cana-4116	342	12	nations	nation	NOUN
cana-4116	342	13	are	be	AUX
cana-4116	342	14	currently	currently	ADV
cana-4116	342	15	experiencing	experience	VERB
cana-4116	342	16	a	a	DET
cana-4116	342	17	serious	serious	ADJ
cana-4116	342	18	power	power	NOUN
cana-4116	342	19	crisis	crisis	NOUN
cana-4116	342	20	as	as	ADP
cana-4116	342	21	a	a	DET
cana-4116	342	22	result	result	NOUN
cana-4116	342	23	of	of	ADP
cana-4116	342	24	rapidly	rapidly	ADV
cana-4116	342	25	growing	grow	VERB
cana-4116	342	26	needs	need	NOUN
cana-4116	342	27	and	and	CCONJ
cana-4116	342	28	a	a	DET
cana-4116	342	29	significant	significant	ADJ
cana-4116	342	30	discrepancy	discrepancy	NOUN
cana-4116	342	31	between	between	ADP
cana-4116	342	32	supply	supply	NOUN
cana-4116	342	33	and	and	CCONJ
cana-4116	342	34	demand	demand	NOUN
cana-4116	342	35	.	.	PUNCT
cana-4116	343	1	the	the	DET
cana-4116	343	2	planning	planning	NOUN
cana-4116	343	3	commission	commission	NOUN
cana-4116	343	4	must	must	AUX
cana-4116	343	5	choose	choose	VERB
cana-4116	343	6	the	the	DET
cana-4116	343	7	business	business	NOUN
cana-4116	343	8	that	that	PRON
cana-4116	343	9	is	be	AUX
cana-4116	343	10	thought	think	VERB
cana-4116	343	11	to	to	PART
cana-4116	343	12	offer	offer	VERB
cana-4116	343	13	the	the	DET
cana-4116	343	14	finest	fine	ADJ
cana-4116	343	15	service	service	NOUN
cana-4116	343	16	based	base	VERB
cana-4116	343	17	on	on	ADP
cana-4116	343	18	consumer	consumer	NOUN
cana-4116	343	19	satisfaction	satisfaction	NOUN
cana-4116	343	20	in	in	ADP
cana-4116	343	21	order	order	NOUN
cana-4116	343	22	to	to	PART
cana-4116	343	23	resolve	resolve	VERB
cana-4116	343	24	this	this	DET
cana-4116	343	25	problem	problem	NOUN
cana-4116	343	26	.	.	PUNCT
cana-4116	344	1	there	there	PRON
cana-4116	344	2	are	be	VERB
cana-4116	344	3	four	four	NUM
cana-4116	344	4	alternatives	alternative	NOUN
cana-4116	344	5	in	in	ADP
cana-4116	344	6	this	this	DET
cana-4116	344	7	situation	situation	NOUN
cana-4116	344	8	:	:	PUNCT
cana-4116	344	9	𝐴1	𝐴1	PROPN
cana-4116	344	10	power	power	NOUN
cana-4116	344	11	company	company	NOUN
cana-4116	344	12	1	1	NUM
cana-4116	344	13	,	,	PUNCT
cana-4116	344	14	𝐴2	𝐴2	PROPN
cana-4116	344	15	power	power	NOUN
cana-4116	344	16	company	company	NOUN
cana-4116	344	17	2	2	NUM
cana-4116	344	18	,	,	PUNCT
cana-4116	344	19	𝐴3	𝐴3	PROPN
cana-4116	344	20	power	power	NOUN
cana-4116	344	21	company	company	NOUN
cana-4116	344	22	3	3	NUM
cana-4116	344	23	,	,	PUNCT
cana-4116	344	24	and	and	CCONJ
cana-4116	344	25	𝐴4	𝐴4	PROPN
cana-4116	344	26	power	power	NOUN
cana-4116	344	27	company	company	PROPN
cana-4116	344	28	4	4	NUM
cana-4116	344	29	.	.	PUNCT
cana-4116	345	1	while	while	SCONJ
cana-4116	345	2	assessing	assess	VERB
cana-4116	345	3	these	these	DET
cana-4116	345	4	four	four	NUM
cana-4116	345	5	potential	potential	ADJ
cana-4116	345	6	power	power	NOUN
cana-4116	345	7	producing	produce	VERB
cana-4116	345	8	companies	company	NOUN
cana-4116	345	9	,	,	PUNCT
cana-4116	345	10	the	the	DET
cana-4116	345	11	following	follow	VERB
cana-4116	345	12	four	four	NUM
cana-4116	345	13	key	key	ADJ
cana-4116	345	14	attributes	attribute	NOUN
cana-4116	345	15	have	have	AUX
cana-4116	345	16	been	be	AUX
cana-4116	345	17	identified	identify	VERB
cana-4116	345	18	:	:	PUNCT
cana-4116	345	19	(	(	PUNCT
cana-4116	345	20	a	a	X
cana-4116	345	21	)	)	PUNCT
cana-4116	345	22	cost	cost	NOUN
cana-4116	345	23	and	and	CCONJ
cana-4116	345	24	tariff	tariff	NOUN
cana-4116	345	25	(	(	PUNCT
cana-4116	345	26	𝑄1	𝑄1	NOUN
cana-4116	345	27	):	):	PUNCT
cana-4116	345	28	the	the	DET
cana-4116	345	29	rate	rate	NOUN
cana-4116	345	30	,	,	PUNCT
cana-4116	345	31	fee	fee	NOUN
cana-4116	345	32	,	,	PUNCT
cana-4116	345	33	and	and	CCONJ
cana-4116	345	34	terms	term	NOUN
cana-4116	345	35	and	and	CCONJ
cana-4116	345	36	conditions	condition	NOUN
cana-4116	345	37	for	for	ADP
cana-4116	345	38	the	the	DET
cana-4116	345	39	production	production	NOUN
cana-4116	345	40	of	of	ADP
cana-4116	345	41	electricity	electricity	NOUN
cana-4116	345	42	,	,	PUNCT
cana-4116	345	43	as	as	ADV
cana-4116	345	44	well	well	ADV
cana-4116	345	45	as	as	ADP
cana-4116	345	46	the	the	DET
cana-4116	345	47	transmission	transmission	NOUN
cana-4116	345	48	and	and	CCONJ
cana-4116	345	49	distribution	distribution	NOUN
cana-4116	345	50	of	of	ADP
cana-4116	345	51	services	service	NOUN
cana-4116	345	52	to	to	ADP
cana-4116	345	53	consumers	consumer	NOUN
cana-4116	345	54	.	.	PUNCT
cana-4116	346	1	(	(	PUNCT
cana-4116	346	2	b	b	X
cana-4116	346	3	)	)	PUNCT
cana-4116	346	4	reliability	reliability	NOUN
cana-4116	346	5	and	and	CCONJ
cana-4116	346	6	performance	performance	NOUN
cana-4116	346	7	(	(	PUNCT
cana-4116	346	8	𝑄2	𝑄2	PROPN
cana-4116	346	9	):	):	PUNCT
cana-4116	346	10	the	the	DET
cana-4116	346	11	extent	extent	NOUN
cana-4116	346	12	to	to	PART
cana-4116	346	13	which	which	PRON
cana-4116	346	14	consumers	consumer	NOUN
cana-4116	346	15	receive	receive	VERB
cana-4116	346	16	electric	electric	ADJ
cana-4116	346	17	power	power	NOUN
cana-4116	346	18	within	within	ADP
cana-4116	346	19	predetermined	predetermined	ADJ
cana-4116	346	20	parameters	parameter	NOUN
cana-4116	346	21	.	.	PUNCT
cana-4116	347	1	(	(	PUNCT
cana-4116	347	2	c	c	X
cana-4116	347	3	)	)	PUNCT
cana-4116	347	4	installing	instal	VERB
cana-4116	347	5	and	and	CCONJ
cana-4116	347	6	being	be	AUX
cana-4116	347	7	accountable	accountable	ADJ
cana-4116	347	8	(	(	PUNCT
cana-4116	347	9	𝑄3	𝑄3	NUM
cana-4116	347	10	):	):	PUNCT
cana-4116	347	11	the	the	DET
cana-4116	347	12	assurance	assurance	NOUN
cana-4116	347	13	that	that	PRON
cana-4116	347	14	all	all	DET
cana-4116	347	15	work	work	NOUN
cana-4116	347	16	,	,	PUNCT
cana-4116	347	17	wiring	wiring	NOUN
cana-4116	347	18	,	,	PUNCT
cana-4116	347	19	and	and	CCONJ
cana-4116	347	20	equipment	equipment	NOUN
cana-4116	347	21	are	be	AUX
cana-4116	347	22	installed	instal	VERB
cana-4116	347	23	and	and	CCONJ
cana-4116	347	24	maintained	maintain	VERB
cana-4116	347	25	safely	safely	ADV
cana-4116	347	26	by	by	ADP
cana-4116	347	27	the	the	DET
cana-4116	347	28	business	business	NOUN
cana-4116	347	29	for	for	ADP
cana-4116	347	30	the	the	DET
cana-4116	347	31	benefit	benefit	NOUN
cana-4116	347	32	of	of	ADP
cana-4116	347	33	its	its	PRON
cana-4116	347	34	clients	client	NOUN
cana-4116	347	35	.	.	PUNCT
cana-4116	348	1	(	(	PUNCT
cana-4116	348	2	d	d	X
cana-4116	348	3	)	)	PUNCT
cana-4116	348	4	safety	safety	NOUN
cana-4116	348	5	and	and	CCONJ
cana-4116	348	6	protection	protection	NOUN
cana-4116	348	7	(	(	PUNCT
cana-4116	348	8	𝑄4	𝑄4	PROPN
cana-4116	348	9	):	):	PUNCT
cana-4116	348	10	enclosures	enclosure	NOUN
cana-4116	348	11	that	that	PRON
cana-4116	348	12	prevent	prevent	VERB
cana-4116	348	13	employees	employee	NOUN
cana-4116	348	14	from	from	ADP
cana-4116	348	15	unintentionally	unintentionally	ADV
cana-4116	348	16	coming	come	VERB
cana-4116	348	17	into	into	ADP
cana-4116	348	18	contact	contact	NOUN
cana-4116	348	19	with	with	ADP
cana-4116	348	20	electrical	electrical	ADJ
cana-4116	348	21	equipment	equipment	NOUN
cana-4116	348	22	and	and	CCONJ
cana-4116	348	23	prevent	prevent	VERB
cana-4116	348	24	unauthorised	unauthorised	ADJ
cana-4116	348	25	use	use	NOUN
cana-4116	348	26	of	of	ADP
cana-4116	348	27	the	the	DET
cana-4116	348	28	electric	electric	ADJ
cana-4116	348	29	service	service	NOUN
cana-4116	348	30	.	.	PUNCT
cana-4116	349	1	communications	communication	NOUN
cana-4116	349	2	on	on	ADP
cana-4116	349	3	applied	apply	VERB
cana-4116	349	4	nonlinear	nonlinear	ADJ
cana-4116	349	5	analysis	analysis	NOUN
cana-4116	349	6	issn	issn	NOUN
cana-4116	349	7	:	:	PUNCT
cana-4116	349	8	1074	1074	NUM
cana-4116	349	9	-	-	PUNCT
cana-4116	349	10	133x	133x	NUM
cana-4116	349	11	vol	vol	NOUN
cana-4116	349	12	32	32	NUM
cana-4116	349	13	no	no	NOUN
cana-4116	349	14	.	.	PUNCT
cana-4116	350	1	9s	9s	NUM
cana-4116	350	2	(	(	PUNCT
cana-4116	350	3	2025	2025	NUM
cana-4116	350	4	)	)	PUNCT
cana-4116	350	5	1101	1101	NUM
cana-4116	351	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	351	2	figure	figure	NOUN
cana-4116	351	3	1	1	NUM
cana-4116	351	4	:	:	PUNCT
cana-4116	351	5	step	step	NOUN
cana-4116	351	6	-	-	PUNCT
cana-4116	351	7	by	by	ADP
cana-4116	351	8	-	-	PUNCT
cana-4116	351	9	step	step	NOUN
cana-4116	351	10	flowchart	flowchart	NOUN
cana-4116	351	11	of	of	ADP
cana-4116	351	12	the	the	DET
cana-4116	351	13	suggested	suggest	VERB
cana-4116	351	14	methodology	methodology	NOUN
cana-4116	351	15	.	.	PUNCT
cana-4116	352	1	assume	assume	VERB
cana-4116	352	2	that	that	SCONJ
cana-4116	352	3	a	a	DET
cana-4116	352	4	group	group	NOUN
cana-4116	352	5	of	of	ADP
cana-4116	352	6	decision	decision	NOUN
cana-4116	352	7	-	-	PUNCT
cana-4116	352	8	makers	maker	NOUN
cana-4116	352	9	consisting	consist	VERB
cana-4116	352	10	of	of	ADP
cana-4116	352	11	professionals	professional	NOUN
cana-4116	352	12	from	from	ADP
cana-4116	352	13	four	four	NUM
cana-4116	352	14	related	related	ADJ
cana-4116	352	15	fields	field	NOUN
cana-4116	352	16	has	have	AUX
cana-4116	352	17	been	be	AUX
cana-4116	352	18	given	give	VERB
cana-4116	352	19	permission	permission	NOUN
cana-4116	352	20	to	to	PART
cana-4116	352	21	assess	assess	VERB
cana-4116	352	22	each	each	DET
cana-4116	352	23	alternative	alternative	NOUN
cana-4116	352	24	’s	’s	PART
cana-4116	352	25	degree	degree	NOUN
cana-4116	352	26	of	of	ADP
cana-4116	352	27	satisfaction	satisfaction	NOUN
cana-4116	352	28	and	and	CCONJ
cana-4116	352	29	determine	determine	VERB
cana-4116	352	30	which	which	DET
cana-4116	352	31	one	one	PRON
cana-4116	352	32	has	have	VERB
cana-4116	352	33	the	the	DET
cana-4116	352	34	finest	fine	ADJ
cana-4116	352	35	qualities	quality	NOUN
cana-4116	352	36	.	.	PUNCT
cana-4116	353	1	this	this	DET
cana-4116	353	2	issue	issue	NOUN
cana-4116	353	3	can	can	AUX
cana-4116	353	4	be	be	AUX
cana-4116	353	5	seen	see	VERB
cana-4116	353	6	as	as	ADP
cana-4116	353	7	a	a	DET
cana-4116	353	8	madm	madm	NOUN
cana-4116	353	9	issue	issue	NOUN
cana-4116	353	10	and	and	CCONJ
cana-4116	353	11	solve	solve	VERB
cana-4116	353	12	it	it	PRON
cana-4116	353	13	with	with	ADP
cana-4116	353	14	the	the	DET
cana-4116	353	15	algorithm	algorithm	NOUN
cana-4116	353	16	described	describe	VERB
cana-4116	353	17	in	in	ADP
cana-4116	353	18	sect	sect	NOUN
cana-4116	353	19	.	.	PUNCT
cana-4116	354	1	4	4	X
cana-4116	354	2	.	.	X
cana-4116	354	3	figure	figure	NOUN
cana-4116	354	4	1	1	NUM
cana-4116	354	5	.	.	PUNCT
cana-4116	354	6	stands	stand	VERB
cana-4116	354	7	for	for	ADP
cana-4116	354	8	the	the	DET
cana-4116	354	9	proposed	propose	VERB
cana-4116	354	10	approach	approach	NOUN
cana-4116	354	11	’s	’s	PART
cana-4116	354	12	operational	operational	ADJ
cana-4116	354	13	steps	step	NOUN
cana-4116	354	14	.	.	PUNCT
cana-4116	355	1	table	table	NOUN
cana-4116	355	2	5	5	NUM
cana-4116	355	3	:	:	PUNCT
cana-4116	355	4	dhf	dhf	VERB
cana-4116	355	5	decision	decision	NOUN
cana-4116	355	6	matrix	matrix	NOUN
cana-4116	355	7	𝑄1	𝑄1	NOUN
cana-4116	355	8	𝑄2	𝑄2	PROPN
cana-4116	355	9	𝑄3	𝑄3	PROPN
cana-4116	356	1	𝑄4	𝑄4	PROPN
cana-4116	356	2	𝐴1	𝐴1	PROPN
cana-4116	356	3	(	(	PUNCT
cana-4116	356	4	{	{	PUNCT
cana-4116	356	5	.2	.2	NUM
cana-4116	356	6	,	,	PUNCT
cana-4116	356	7	.3	.3	NUM
cana-4116	356	8	,	,	PUNCT
cana-4116	356	9	.4},{.1	.4},{.1	PROPN
cana-4116	356	10	,	,	PUNCT
cana-4116	356	11	.2	.2	NUM
cana-4116	356	12	}	}	PUNCT
cana-4116	356	13	)	)	PUNCT
cana-4116	356	14	(	(	PUNCT
cana-4116	356	15	{	{	PUNCT
cana-4116	356	16	.1	.1	PROPN
cana-4116	356	17	,	,	PUNCT
cana-4116	356	18	.3	.3	NUM
cana-4116	356	19	,	,	PUNCT
cana-4116	356	20	.5},{.3	.5},{.3	PROPN
cana-4116	356	21	}	}	PUNCT
cana-4116	356	22	)	)	PUNCT
cana-4116	356	23	(	(	PUNCT
cana-4116	356	24	{	{	PUNCT
cana-4116	356	25	.1	.1	PROPN
cana-4116	356	26	,	,	PUNCT
cana-4116	356	27	.3	.3	NUM
cana-4116	356	28	,	,	PUNCT
cana-4116	356	29	.4},{.2	.4},{.2	PROPN
cana-4116	356	30	,	,	PUNCT
cana-4116	356	31	.3	.3	NUM
cana-4116	356	32	}	}	PUNCT
cana-4116	356	33	)	)	PUNCT
cana-4116	356	34	(	(	PUNCT
cana-4116	356	35	{	{	PUNCT
cana-4116	356	36	.2	.2	NUM
cana-4116	356	37	,	,	PUNCT
cana-4116	356	38	.3	.3	NUM
cana-4116	356	39	,	,	PUNCT
cana-4116	356	40	.4},{.1	.4},{.1	PROPN
cana-4116	356	41	,	,	PUNCT
cana-4116	356	42	.2	.2	NUM
cana-4116	356	43	}	}	PUNCT
cana-4116	356	44	)	)	PUNCT
cana-4116	356	45	𝐴2	𝐴2	PROPN
cana-4116	356	46	(	(	PUNCT
cana-4116	356	47	{	{	PUNCT
cana-4116	356	48	.1	.1	PROPN
cana-4116	356	49	,	,	PUNCT
cana-4116	356	50	.3	.3	NUM
cana-4116	356	51	,	,	PUNCT
cana-4116	356	52	.3},{.2	.3},{.2	PROPN
cana-4116	356	53	}	}	PUNCT
cana-4116	356	54	)	)	PUNCT
cana-4116	356	55	(	(	PUNCT
cana-4116	356	56	{	{	PUNCT
cana-4116	356	57	.2	.2	NUM
cana-4116	356	58	,	,	PUNCT
cana-4116	356	59	.4	.4	NUM
cana-4116	356	60	,	,	PUNCT
cana-4116	356	61	.4},{.1	.4},{.1	PROPN
cana-4116	356	62	,	,	PUNCT
cana-4116	356	63	.2	.2	NUM
cana-4116	356	64	}	}	PUNCT
cana-4116	356	65	)	)	PUNCT
cana-4116	356	66	(	(	PUNCT
cana-4116	356	67	{	{	PUNCT
cana-4116	356	68	.2	.2	NUM
cana-4116	356	69	,	,	PUNCT
cana-4116	356	70	.3	.3	NUM
cana-4116	356	71	,	,	PUNCT
cana-4116	356	72	.4},{.1	.4},{.1	PROPN
cana-4116	356	73	,	,	PUNCT
cana-4116	356	74	.2	.2	NUM
cana-4116	356	75	}	}	PUNCT
cana-4116	356	76	)	)	PUNCT
cana-4116	356	77	(	(	PUNCT
cana-4116	356	78	{	{	PUNCT
cana-4116	356	79	.3	.3	NUM
cana-4116	356	80	,	,	PUNCT
cana-4116	356	81	.4	.4	NUM
cana-4116	356	82	,	,	PUNCT
cana-4116	356	83	.5},{.3	.5},{.3	PROPN
cana-4116	356	84	,	,	PUNCT
cana-4116	356	85	.4	.4	NUM
cana-4116	356	86	}	}	PUNCT
cana-4116	356	87	)	)	PUNCT
cana-4116	356	88	𝐴3	𝐴3	PROPN
cana-4116	356	89	(	(	PUNCT
cana-4116	356	90	{	{	PUNCT
cana-4116	356	91	.4	.4	PROPN
cana-4116	356	92	,	,	PUNCT
cana-4116	356	93	.5	.5	NUM
cana-4116	356	94	,	,	PUNCT
cana-4116	356	95	.5},{.3	.5},{.3	PROPN
cana-4116	356	96	,	,	PUNCT
cana-4116	356	97	.4	.4	NUM
cana-4116	356	98	,	,	PUNCT
cana-4116	356	99	.5	.5	NUM
cana-4116	356	100	}	}	PUNCT
cana-4116	356	101	)	)	PUNCT
cana-4116	356	102	(	(	PUNCT
cana-4116	356	103	{	{	PUNCT
cana-4116	356	104	.1	.1	NOUN
cana-4116	356	105	,	,	PUNCT
cana-4116	356	106	.2	.2	NUM
cana-4116	356	107	,	,	PUNCT
cana-4116	356	108	.3},{.2	.3},{.2	PROPN
cana-4116	356	109	,	,	PUNCT
cana-4116	356	110	.3	.3	NUM
cana-4116	356	111	}	}	PUNCT
cana-4116	356	112	)	)	PUNCT
cana-4116	356	113	(	(	PUNCT
cana-4116	356	114	{	{	PUNCT
cana-4116	356	115	.3	.3	NUM
cana-4116	356	116	,	,	PUNCT
cana-4116	356	117	.4	.4	NUM
cana-4116	356	118	,	,	PUNCT
cana-4116	356	119	.5},{.3	.5},{.3	PROPN
cana-4116	356	120	,	,	PUNCT
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cana-4116	356	126	.1	.1	NOUN
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cana-4116	356	131	}	}	PUNCT
cana-4116	356	132	)	)	PUNCT
cana-4116	356	133	𝐴4	𝐴4	PROPN
cana-4116	356	134	(	(	PUNCT
cana-4116	356	135	{	{	PUNCT
cana-4116	356	136	.2	.2	NUM
cana-4116	356	137	,	,	PUNCT
cana-4116	356	138	.4	.4	NUM
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cana-4116	356	140	.4},{.2	.4},{.2	PROPN
cana-4116	356	141	}	}	PUNCT
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cana-4116	356	143	(	(	PUNCT
cana-4116	356	144	{	{	PUNCT
cana-4116	356	145	.1	.1	NOUN
cana-4116	356	146	,	,	PUNCT
cana-4116	356	147	.4	.4	NUM
cana-4116	356	148	,	,	PUNCT
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cana-4116	356	152	}	}	PUNCT
cana-4116	356	153	)	)	PUNCT
cana-4116	356	154	(	(	PUNCT
cana-4116	356	155	{	{	PUNCT
cana-4116	356	156	.1	.1	NOUN
cana-4116	356	157	,	,	PUNCT
cana-4116	356	158	.2	.2	NUM
cana-4116	356	159	,	,	PUNCT
cana-4116	356	160	.3},{.3	.3},{.3	NOUN
cana-4116	356	161	}	}	PUNCT
cana-4116	356	162	)	)	PUNCT
cana-4116	356	163	(	(	PUNCT
cana-4116	356	164	{	{	PUNCT
cana-4116	356	165	.2	.2	NUM
cana-4116	356	166	,	,	PUNCT
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cana-4116	356	170	}	}	PUNCT
cana-4116	356	171	)	)	PUNCT
cana-4116	356	172	communications	communication	NOUN
cana-4116	356	173	on	on	ADP
cana-4116	356	174	applied	apply	VERB
cana-4116	356	175	nonlinear	nonlinear	ADJ
cana-4116	356	176	analysis	analysis	NOUN
cana-4116	356	177	issn	issn	NOUN
cana-4116	356	178	:	:	PUNCT
cana-4116	356	179	1074	1074	NUM
cana-4116	356	180	-	-	PUNCT
cana-4116	356	181	133x	133x	NUM
cana-4116	356	182	vol	vol	NOUN
cana-4116	356	183	32	32	NUM
cana-4116	356	184	no	no	NOUN
cana-4116	356	185	.	.	PUNCT
cana-4116	357	1	9s	9s	NUM
cana-4116	357	2	(	(	PUNCT
cana-4116	357	3	2025	2025	NUM
cana-4116	357	4	)	)	PUNCT
cana-4116	357	5	1102	1102	NUM
cana-4116	357	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	357	7	table	table	NOUN
cana-4116	357	8	6	6	NUM
cana-4116	357	9	:	:	PUNCT
cana-4116	357	10	modified	modify	VERB
cana-4116	357	11	dhf	dhf	NOUN
cana-4116	357	12	decision	decision	NOUN
cana-4116	357	13	matrix	matrix	NOUN
cana-4116	357	14	𝑄1	𝑄1	NOUN
cana-4116	357	15	𝑄2	𝑄2	PROPN
cana-4116	357	16	𝑄3	𝑄3	PROPN
cana-4116	358	1	𝑄4	𝑄4	PROPN
cana-4116	358	2	𝐴1	𝐴1	PROPN
cana-4116	358	3	(	(	PUNCT
cana-4116	358	4	{	{	PUNCT
cana-4116	358	5	.2	.2	NUM
cana-4116	358	6	,	,	PUNCT
cana-4116	358	7	.3	.3	NUM
cana-4116	358	8	,	,	PUNCT
cana-4116	358	9	.4},{.1	.4},{.1	PROPN
cana-4116	358	10	,	,	PUNCT
cana-4116	358	11	.2	.2	NUM
cana-4116	358	12	,	,	PUNCT
cana-4116	358	13	.2	.2	NUM
cana-4116	358	14	}	}	PUNCT
cana-4116	358	15	)	)	PUNCT
cana-4116	358	16	(	(	PUNCT
cana-4116	358	17	{	{	PUNCT
cana-4116	358	18	.1	.1	PROPN
cana-4116	358	19	,	,	PUNCT
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cana-4116	358	21	,	,	PUNCT
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cana-4116	358	23	,	,	PUNCT
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cana-4116	358	25	,	,	PUNCT
cana-4116	358	26	.3	.3	NUM
cana-4116	358	27	}	}	PUNCT
cana-4116	358	28	)	)	PUNCT
cana-4116	358	29	(	(	PUNCT
cana-4116	358	30	{	{	PUNCT
cana-4116	358	31	.1	.1	PROPN
cana-4116	358	32	,	,	PUNCT
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cana-4116	358	34	,	,	PUNCT
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cana-4116	358	36	,	,	PUNCT
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cana-4116	358	38	,	,	PUNCT
cana-4116	358	39	.3	.3	NUM
cana-4116	358	40	}	}	PUNCT
cana-4116	358	41	)	)	PUNCT
cana-4116	358	42	(	(	PUNCT
cana-4116	358	43	{	{	PUNCT
cana-4116	358	44	.2	.2	NUM
cana-4116	358	45	,	,	PUNCT
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cana-4116	358	47	,	,	PUNCT
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cana-4116	358	49	,	,	PUNCT
cana-4116	358	50	.2	.2	NUM
cana-4116	358	51	,	,	PUNCT
cana-4116	358	52	.2	.2	NUM
cana-4116	358	53	}	}	PUNCT
cana-4116	358	54	)	)	PUNCT
cana-4116	358	55	𝐴2	𝐴2	PROPN
cana-4116	358	56	(	(	PUNCT
cana-4116	358	57	{	{	PUNCT
cana-4116	358	58	.1	.1	PROPN
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cana-4116	358	61	,	,	PUNCT
cana-4116	358	62	.3},{.2	.3},{.2	PROPN
cana-4116	358	63	,	,	PUNCT
cana-4116	358	64	.2	.2	NUM
cana-4116	358	65	,	,	PUNCT
cana-4116	358	66	.2	.2	NUM
cana-4116	358	67	}	}	PUNCT
cana-4116	358	68	)	)	PUNCT
cana-4116	358	69	(	(	PUNCT
cana-4116	358	70	{	{	PUNCT
cana-4116	358	71	.2	.2	NUM
cana-4116	358	72	,	,	PUNCT
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cana-4116	358	74	,	,	PUNCT
cana-4116	358	75	.4},{.1	.4},{.1	PROPN
cana-4116	358	76	,	,	PUNCT
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cana-4116	358	79	.2	.2	NUM
cana-4116	358	80	}	}	PUNCT
cana-4116	358	81	)	)	PUNCT
cana-4116	358	82	(	(	PUNCT
cana-4116	358	83	{	{	PUNCT
cana-4116	358	84	.2	.2	NUM
cana-4116	358	85	,	,	PUNCT
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cana-4116	358	88	.4},{.1	.4},{.1	PROPN
cana-4116	358	89	,	,	PUNCT
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cana-4116	358	91	,	,	PUNCT
cana-4116	358	92	.2	.2	NUM
cana-4116	358	93	}	}	PUNCT
cana-4116	358	94	)	)	PUNCT
cana-4116	358	95	(	(	PUNCT
cana-4116	358	96	{	{	PUNCT
cana-4116	358	97	.3	.3	NUM
cana-4116	358	98	,	,	PUNCT
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cana-4116	358	101	.5},{.3	.5},{.3	PROPN
cana-4116	358	102	,	,	PUNCT
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cana-4116	358	104	,	,	PUNCT
cana-4116	358	105	.4	.4	NUM
cana-4116	358	106	}	}	PUNCT
cana-4116	358	107	)	)	PUNCT
cana-4116	358	108	𝐴3	𝐴3	PROPN
cana-4116	358	109	(	(	PUNCT
cana-4116	358	110	{	{	PUNCT
cana-4116	358	111	.4	.4	PROPN
cana-4116	358	112	,	,	PUNCT
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cana-4116	358	114	,	,	PUNCT
cana-4116	358	115	.5},{.3	.5},{.3	PROPN
cana-4116	358	116	,	,	PUNCT
cana-4116	358	117	.4	.4	NUM
cana-4116	358	118	,	,	PUNCT
cana-4116	358	119	.5	.5	NUM
cana-4116	358	120	}	}	PUNCT
cana-4116	358	121	)	)	PUNCT
cana-4116	358	122	(	(	PUNCT
cana-4116	358	123	{	{	PUNCT
cana-4116	358	124	.1	.1	NOUN
cana-4116	358	125	,	,	PUNCT
cana-4116	358	126	.2	.2	NUM
cana-4116	358	127	,	,	PUNCT
cana-4116	358	128	.3},{.2	.3},{.2	PROPN
cana-4116	358	129	,	,	PUNCT
cana-4116	358	130	.3	.3	NUM
cana-4116	358	131	,	,	PUNCT
cana-4116	358	132	.3	.3	NUM
cana-4116	358	133	}	}	PUNCT
cana-4116	358	134	)	)	PUNCT
cana-4116	358	135	(	(	PUNCT
cana-4116	358	136	{	{	PUNCT
cana-4116	358	137	.3	.3	NUM
cana-4116	358	138	,	,	PUNCT
cana-4116	358	139	.4	.4	NUM
cana-4116	358	140	,	,	PUNCT
cana-4116	358	141	.5},{.3	.5},{.3	PROPN
cana-4116	358	142	,	,	PUNCT
cana-4116	358	143	.4	.4	NUM
cana-4116	358	144	,	,	PUNCT
cana-4116	358	145	.4	.4	NUM
cana-4116	358	146	}	}	PUNCT
cana-4116	358	147	)	)	PUNCT
cana-4116	358	148	(	(	PUNCT
cana-4116	358	149	{	{	PUNCT
cana-4116	358	150	.1	.1	NOUN
cana-4116	358	151	,	,	PUNCT
cana-4116	358	152	.2	.2	NUM
cana-4116	358	153	,	,	PUNCT
cana-4116	358	154	.3},{.3	.3},{.3	NOUN
cana-4116	358	155	,	,	PUNCT
cana-4116	358	156	.3	.3	NUM
cana-4116	358	157	,	,	PUNCT
cana-4116	358	158	.3	.3	NUM
cana-4116	358	159	}	}	PUNCT
cana-4116	358	160	)	)	PUNCT
cana-4116	358	161	𝐴4	𝐴4	PROPN
cana-4116	358	162	(	(	PUNCT
cana-4116	358	163	{	{	PUNCT
cana-4116	358	164	.2	.2	NUM
cana-4116	358	165	,	,	PUNCT
cana-4116	358	166	.4	.4	NUM
cana-4116	358	167	,	,	PUNCT
cana-4116	358	168	.4},{.2	.4},{.2	PROPN
cana-4116	358	169	,	,	PUNCT
cana-4116	358	170	.2	.2	NUM
cana-4116	358	171	,	,	PUNCT
cana-4116	358	172	.2	.2	NUM
cana-4116	358	173	}	}	PUNCT
cana-4116	358	174	)	)	PUNCT
cana-4116	358	175	(	(	PUNCT
cana-4116	358	176	{	{	PUNCT
cana-4116	358	177	.1	.1	NOUN
cana-4116	358	178	,	,	PUNCT
cana-4116	358	179	.4	.4	NUM
cana-4116	358	180	,	,	PUNCT
cana-4116	358	181	.5},{.2	.5},{.2	PROPN
cana-4116	358	182	,	,	PUNCT
cana-4116	358	183	.3	.3	NUM
cana-4116	358	184	,	,	PUNCT
cana-4116	358	185	.3	.3	NUM
cana-4116	358	186	}	}	PUNCT
cana-4116	358	187	)	)	PUNCT
cana-4116	358	188	(	(	PUNCT
cana-4116	358	189	{	{	PUNCT
cana-4116	358	190	.1	.1	NOUN
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cana-4116	358	197	,	,	PUNCT
cana-4116	358	198	.3	.3	NUM
cana-4116	358	199	}	}	PUNCT
cana-4116	358	200	)	)	PUNCT
cana-4116	358	201	(	(	PUNCT
cana-4116	358	202	{	{	PUNCT
cana-4116	358	203	.2	.2	NUM
cana-4116	358	204	,	,	PUNCT
cana-4116	358	205	.4	.4	NUM
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cana-4116	358	207	.4},{.2	.4},{.2	PROPN
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cana-4116	358	210	,	,	PUNCT
cana-4116	358	211	.2	.2	NUM
cana-4116	358	212	}	}	PUNCT
cana-4116	358	213	)	)	PUNCT
cana-4116	358	214	table	table	NOUN
cana-4116	358	215	7	7	NUM
cana-4116	358	216	:	:	PUNCT
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cana-4116	358	218	and	and	CCONJ
cana-4116	358	219	dhfnis	dhfnis	PROPN
cana-4116	358	220	𝑄1	𝑄1	PROPN
cana-4116	358	221	𝑄2	𝑄2	PROPN
cana-4116	358	222	𝑄3	𝑄3	PROPN
cana-4116	358	223	𝑄4	𝑄4	PROPN
cana-4116	358	224	𝑆+	𝑆+	PRON
cana-4116	358	225	(	(	PUNCT
cana-4116	358	226	{	{	PUNCT
cana-4116	358	227	.4	.4	PROPN
cana-4116	358	228	,	,	PUNCT
cana-4116	358	229	.5	.5	NUM
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cana-4116	358	231	.5},{.1	.5},{.1	PROPN
cana-4116	358	232	,	,	PUNCT
cana-4116	358	233	.2	.2	NUM
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cana-4116	358	235	.2	.2	NUM
cana-4116	358	236	}	}	PUNCT
cana-4116	358	237	)	)	PUNCT
cana-4116	358	238	(	(	PUNCT
cana-4116	358	239	{	{	PUNCT
cana-4116	358	240	.2	.2	NUM
cana-4116	358	241	,	,	PUNCT
cana-4116	358	242	.4	.4	NUM
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cana-4116	358	244	.5},{.1	.5},{.1	PROPN
cana-4116	358	245	,	,	PUNCT
cana-4116	358	246	.2	.2	NUM
cana-4116	358	247	,	,	PUNCT
cana-4116	358	248	.2	.2	NUM
cana-4116	358	249	}	}	PUNCT
cana-4116	358	250	)	)	PUNCT
cana-4116	358	251	(	(	PUNCT
cana-4116	358	252	{	{	PUNCT
cana-4116	358	253	.3	.3	NUM
cana-4116	358	254	,	,	PUNCT
cana-4116	358	255	.4	.4	NUM
cana-4116	358	256	,	,	PUNCT
cana-4116	358	257	.5},{.1	.5},{.1	PROPN
cana-4116	358	258	,	,	PUNCT
cana-4116	358	259	.2	.2	NUM
cana-4116	358	260	,	,	PUNCT
cana-4116	358	261	.2	.2	NUM
cana-4116	358	262	}	}	PUNCT
cana-4116	358	263	)	)	PUNCT
cana-4116	358	264	(	(	PUNCT
cana-4116	358	265	{	{	PUNCT
cana-4116	358	266	.3	.3	NUM
cana-4116	358	267	,	,	PUNCT
cana-4116	358	268	.4	.4	NUM
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cana-4116	358	271	,	,	PUNCT
cana-4116	358	272	.2	.2	NUM
cana-4116	358	273	,	,	PUNCT
cana-4116	358	274	.2	.2	NUM
cana-4116	358	275	}	}	PUNCT
cana-4116	358	276	)	)	PUNCT
cana-4116	358	277	𝑆−	𝑆−	INTJ
cana-4116	358	278	(	(	PUNCT
cana-4116	358	279	{	{	PUNCT
cana-4116	358	280	.1	.1	PROPN
cana-4116	358	281	,	,	PUNCT
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cana-4116	358	283	,	,	PUNCT
cana-4116	358	284	.3},{.3	.3},{.3	NOUN
cana-4116	358	285	,	,	PUNCT
cana-4116	358	286	.4	.4	NUM
cana-4116	358	287	,	,	PUNCT
cana-4116	358	288	.5	.5	NUM
cana-4116	358	289	}	}	PUNCT
cana-4116	358	290	)	)	PUNCT
cana-4116	358	291	(	(	PUNCT
cana-4116	358	292	{	{	PUNCT
cana-4116	358	293	.1	.1	NOUN
cana-4116	358	294	,	,	PUNCT
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cana-4116	358	297	.3},{.3	.3},{.3	NOUN
cana-4116	358	298	,	,	PUNCT
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cana-4116	358	301	.3	.3	NUM
cana-4116	358	302	}	}	PUNCT
cana-4116	358	303	)	)	PUNCT
cana-4116	358	304	(	(	PUNCT
cana-4116	358	305	{	{	PUNCT
cana-4116	358	306	.1	.1	NOUN
cana-4116	358	307	,	,	PUNCT
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cana-4116	358	309	,	,	PUNCT
cana-4116	358	310	.3},{.3	.3},{.3	NOUN
cana-4116	358	311	,	,	PUNCT
cana-4116	358	312	.4	.4	NUM
cana-4116	358	313	,	,	PUNCT
cana-4116	358	314	.4	.4	NUM
cana-4116	358	315	}	}	PUNCT
cana-4116	358	316	)	)	PUNCT
cana-4116	358	317	(	(	PUNCT
cana-4116	358	318	{	{	PUNCT
cana-4116	358	319	.1	.1	NOUN
cana-4116	358	320	,	,	PUNCT
cana-4116	358	321	.2	.2	NUM
cana-4116	358	322	,	,	PUNCT
cana-4116	358	323	.3},{.3	.3},{.3	NOUN
cana-4116	358	324	,	,	PUNCT
cana-4116	358	325	.4	.4	NUM
cana-4116	358	326	,	,	PUNCT
cana-4116	358	327	.4	.4	NUM
cana-4116	358	328	}	}	PUNCT
cana-4116	358	329	)	)	PUNCT
cana-4116	358	330	table	table	NOUN
cana-4116	358	331	8	8	NUM
cana-4116	358	332	:	:	PUNCT
cana-4116	358	333	objective	objective	ADJ
cana-4116	358	334	weights	weight	NOUN
cana-4116	358	335	𝑄1	𝑄1	PROPN
cana-4116	358	336	𝑄2	𝑄2	PROPN
cana-4116	358	337	𝑄3	𝑄3	PROPN
cana-4116	359	1	𝑄4	𝑄4	PROPN
cana-4116	359	2	𝑁𝑀	𝑁𝑀	PROPN
cana-4116	360	1	.2517	.2517	PROPN
cana-4116	360	2	.2887	.2887	PROPN
cana-4116	360	3	.3266	.3266	PROPN
cana-4116	360	4	.2582	.2582	PROPN
cana-4116	360	5	𝑤𝑗	𝑤𝑗	ADP
cana-4116	360	6	.2237	.2237	PROPN
cana-4116	360	7	.2566	.2566	PROPN
cana-4116	361	1	.2903	.2903	PROPN
cana-4116	361	2	.2294	.2294	PRON
cana-4116	361	3	table	table	VERB
cana-4116	361	4	9	9	NUM
cana-4116	361	5	:	:	PUNCT
cana-4116	361	6	positive	positive	ADJ
cana-4116	361	7	(	(	PUNCT
cana-4116	361	8	𝑼+	𝑼+	NOUN
cana-4116	361	9	)	)	PUNCT
cana-4116	361	10	and	and	CCONJ
cana-4116	361	11	negative	negative	ADJ
cana-4116	361	12	(	(	PUNCT
cana-4116	361	13	𝑼−	𝑼−	ADJ
cana-4116	361	14	)	)	PUNCT
cana-4116	361	15	accuracy	accuracy	NOUN
cana-4116	361	16	measure	measure	NOUN
cana-4116	361	17	and	and	CCONJ
cana-4116	361	18	distance	distance	NOUN
cana-4116	361	19	measure	measure	NOUN
cana-4116	361	20	(	(	PUNCT
cana-4116	361	21	𝜶	𝜶	NOUN
cana-4116	361	22	=	=	SYM
cana-4116	361	23	𝟐	𝟐	NUM
cana-4116	361	24	,	,	PUNCT
cana-4116	361	25	𝜷	𝜷	NOUN
cana-4116	361	26	=	=	NOUN
cana-4116	361	27	𝟏	𝟏	X
cana-4116	361	28	)	)	PUNCT
cana-4116	361	29	𝐼𝑎𝑐𝑐	𝐼𝑎𝑐𝑐	NOUN
cana-4116	361	30	𝑤	𝑤	ADP
cana-4116	361	31	𝐷𝑎	𝐷𝑎	NOUN
cana-4116	361	32	𝑈+	𝑈+	PUNCT
cana-4116	361	33	𝑈−	𝑈−	NUM
cana-4116	361	34	𝑈+	𝑈+	PUNCT
cana-4116	361	35	𝑈−	𝑈−	NUM
cana-4116	361	36	𝐴1	𝐴1	PROPN
cana-4116	361	37	.3693	.3693	PROPN
cana-4116	362	1	.1720	.1720	PROPN
cana-4116	363	1	.1200	.1200	PROPN
cana-4116	363	2	.1347	.1347	PROPN
cana-4116	363	3	𝐴2	𝐴2	PROPN
cana-4116	363	4	.3489	.3489	NOUN
cana-4116	363	5	.1532	.1532	PROPN
cana-4116	364	1	.1148	.1148	PROPN
cana-4116	364	2	.1490	.1490	PROPN
cana-4116	365	1	𝐴3	𝐴3	PROPN
cana-4116	365	2	.2906	.2906	PROPN
cana-4116	366	1	.2213	.2213	PROPN
cana-4116	366	2	.1493	.1493	PROPN
cana-4116	366	3	.1155	.1155	PROPN
cana-4116	367	1	𝐴4	𝐴4	PROPN
cana-4116	368	1	.3487	.3487	PROPN
cana-4116	368	2	.2022	.2022	PROPN
cana-4116	368	3	.1191	.1191	PROPN
cana-4116	368	4	.1300	.1300	PROPN
cana-4116	368	5	table	table	NOUN
cana-4116	368	6	10	10	NUM
cana-4116	368	7	:	:	PUNCT
cana-4116	368	8	positive	positive	ADJ
cana-4116	368	9	(	(	PUNCT
cana-4116	368	10	𝑼+	𝑼+	NOUN
cana-4116	368	11	)	)	PUNCT
cana-4116	368	12	and	and	CCONJ
cana-4116	368	13	negative	negative	ADJ
cana-4116	368	14	(	(	PUNCT
cana-4116	368	15	𝑼−	𝑼−	ADJ
cana-4116	368	16	)	)	PUNCT
cana-4116	368	17	accuracy	accuracy	NOUN
cana-4116	368	18	measure	measure	NOUN
cana-4116	368	19	and	and	CCONJ
cana-4116	368	20	distance	distance	NOUN
cana-4116	368	21	measure	measure	NOUN
cana-4116	368	22	(	(	PUNCT
cana-4116	368	23	𝜶	𝜶	NOUN
cana-4116	368	24	=	=	SYM
cana-4116	368	25	𝟏.	𝟏.	X
cana-4116	368	26	𝟓	𝟓	NUM
cana-4116	368	27	,	,	PUNCT
cana-4116	368	28	𝜷	𝜷	NOUN
cana-4116	368	29	=	=	SYM
cana-4116	368	30	𝟏.	𝟏.	NOUN
cana-4116	368	31	𝟓	𝟓	X
cana-4116	368	32	)	)	PUNCT
cana-4116	369	1	𝐼𝑎𝑐𝑐	𝐼𝑎𝑐𝑐	NOUN
cana-4116	369	2	𝑤	𝑤	ADP
cana-4116	369	3	𝐷𝑎	𝐷𝑎	NOUN
cana-4116	369	4	𝑈+	𝑈+	PUNCT
cana-4116	369	5	𝑈−	𝑈−	NUM
cana-4116	369	6	𝑈+	𝑈+	PUNCT
cana-4116	369	7	𝑈−	𝑈−	NUM
cana-4116	369	8	𝐴1	𝐴1	PROPN
cana-4116	369	9	.3141	.3141	PROPN
cana-4116	370	1	.1626	.1626	PROPN
cana-4116	371	1	.1229	.1229	PROPN
cana-4116	371	2	.1503	.1503	PROPN
cana-4116	372	1	𝐴2	𝐴2	PROPN
cana-4116	372	2	.2888	.2888	PROPN
cana-4116	372	3	.1384	.1384	PROPN
cana-4116	373	1	.1432	.1432	PROPN
cana-4116	374	1	.1613	.1613	PROPN
cana-4116	374	2	𝐴3	𝐴3	PROPN
cana-4116	374	3	.2512	.2512	PROPN
cana-4116	374	4	.1885	.1885	PROPN
cana-4116	375	1	.1587	.1587	PROPN
cana-4116	375	2	.1404	.1404	NOUN
cana-4116	375	3	communications	communication	NOUN
cana-4116	375	4	on	on	ADP
cana-4116	375	5	applied	apply	VERB
cana-4116	375	6	nonlinear	nonlinear	ADJ
cana-4116	375	7	analysis	analysis	NOUN
cana-4116	375	8	issn	issn	NOUN
cana-4116	375	9	:	:	PUNCT
cana-4116	375	10	1074	1074	NUM
cana-4116	375	11	-	-	PUNCT
cana-4116	375	12	133x	133x	NUM
cana-4116	375	13	vol	vol	NOUN
cana-4116	375	14	32	32	NUM
cana-4116	375	15	no	no	NOUN
cana-4116	375	16	.	.	PUNCT
cana-4116	376	1	9s	9s	NUM
cana-4116	376	2	(	(	PUNCT
cana-4116	376	3	2025	2025	NUM
cana-4116	376	4	)	)	PUNCT
cana-4116	376	5	1103	1103	NUM
cana-4116	376	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	376	7	𝐴4	𝐴4	PROPN
cana-4116	376	8	.2991	.2991	PROPN
cana-4116	376	9	.1800	.1800	PROPN
cana-4116	377	1	.1216	.1216	PROPN
cana-4116	378	1	.1419	.1419	PROPN
cana-4116	378	2	table	table	NOUN
cana-4116	378	3	11	11	NUM
cana-4116	378	4	:	:	PUNCT
cana-4116	378	5	closeness	closeness	NOUN
cana-4116	378	6	coefficient	coefficient	NOUN
cana-4116	378	7	using	use	VERB
cana-4116	378	8	positive	positive	ADJ
cana-4116	378	9	and	and	CCONJ
cana-4116	378	10	negative	negative	ADJ
cana-4116	378	11	measures	measure	NOUN
cana-4116	378	12	(	(	PUNCT
cana-4116	378	13	𝜶	𝜶	NOUN
cana-4116	378	14	=	=	SYM
cana-4116	378	15	𝟐	𝟐	NUM
cana-4116	378	16	,	,	PUNCT
cana-4116	378	17	𝜷	𝜷	NOUN
cana-4116	378	18	=	=	NOUN
cana-4116	378	19	𝟏	𝟏	X
cana-4116	378	20	)	)	PUNCT
cana-4116	378	21	𝐶𝑖(𝐼𝑎𝑐𝑐	𝐶𝑖(𝐼𝑎𝑐𝑐	NOUN
cana-4116	378	22	𝑤	𝑤	PROPN
cana-4116	378	23	)	)	PUNCT
cana-4116	378	24	rank	rank	PROPN
cana-4116	378	25	𝐶𝑖(𝐷𝑎	𝐶𝑖(𝐷𝑎	PROPN
cana-4116	378	26	)	)	PUNCT
cana-4116	378	27	rank	rank	NOUN
cana-4116	379	1	𝐴1	𝐴1	PROPN
cana-4116	379	2	.3178	.3178	PROPN
cana-4116	380	1	3	3	NUM
cana-4116	380	2	.5289	.5289	NOUN
cana-4116	380	3	4	4	NUM
cana-4116	380	4	𝐴2	𝐴2	NOUN
cana-4116	380	5	.3051	.3051	PROPN
cana-4116	380	6	4	4	NUM
cana-4116	380	7	.4128	.4128	PROPN
cana-4116	380	8	1	1	NUM
cana-4116	380	9	𝐴3	𝐴3	PROPN
cana-4116	380	10	.4323	.4323	NOUN
cana-4116	380	11	1	1	NUM
cana-4116	380	12	.4362	.4362	PROPN
cana-4116	380	13	2	2	NUM
cana-4116	380	14	𝐴4	𝐴4	NOUN
cana-4116	380	15	.3670	.3670	ADP
cana-4116	380	16	2	2	NUM
cana-4116	380	17	.5219	.5219	PROPN
cana-4116	380	18	3	3	NUM
cana-4116	380	19	figure	figure	NOUN
cana-4116	380	20	2	2	NUM
cana-4116	380	21	:	:	PUNCT
cana-4116	380	22	𝑼+	𝑼+	NOUN
cana-4116	380	23	and	and	CCONJ
cana-4116	380	24	𝑼−	𝑼−	NOUN
cana-4116	380	25	,	,	PUNCT
cana-4116	380	26	closeness	closeness	NOUN
cana-4116	380	27	coefficients	coefficient	NOUN
cana-4116	380	28	and	and	CCONJ
cana-4116	380	29	rank	rank	NOUN
cana-4116	380	30	of	of	ADP
cana-4116	380	31	proposed	propose	VERB
cana-4116	380	32	accuracy	accuracy	NOUN
cana-4116	380	33	measure	measure	NOUN
cana-4116	380	34	figure	figure	VERB
cana-4116	380	35	3	3	NUM
cana-4116	380	36	:	:	PUNCT
cana-4116	380	37	𝑼+	𝑼+	NOUN
cana-4116	380	38	and	and	CCONJ
cana-4116	380	39	𝑼−	𝑼−	NOUN
cana-4116	380	40	,	,	PUNCT
cana-4116	380	41	closeness	closeness	NOUN
cana-4116	380	42	coefficients	coefficient	NOUN
cana-4116	380	43	and	and	CCONJ
cana-4116	380	44	rank	rank	NOUN
cana-4116	380	45	of	of	ADP
cana-4116	380	46	distance	distance	NOUN
cana-4116	380	47	measure	measure	NOUN
cana-4116	380	48	table	table	NOUN
cana-4116	380	49	12	12	NUM
cana-4116	380	50	:	:	PUNCT
cana-4116	380	51	closeness	closeness	NOUN
cana-4116	380	52	coefficient	coefficient	NOUN
cana-4116	380	53	using	use	VERB
cana-4116	380	54	positive	positive	ADJ
cana-4116	380	55	and	and	CCONJ
cana-4116	380	56	negative	negative	ADJ
cana-4116	380	57	measures	measure	NOUN
cana-4116	380	58	(	(	PUNCT
cana-4116	380	59	𝜶	𝜶	NOUN
cana-4116	380	60	=	=	SYM
cana-4116	380	61	𝟏.	𝟏.	X
cana-4116	380	62	𝟓	𝟓	NUM
cana-4116	380	63	,	,	PUNCT
cana-4116	380	64	𝜷	𝜷	NOUN
cana-4116	380	65	=	=	SYM
cana-4116	380	66	𝟏.	𝟏.	NOUN
cana-4116	380	67	𝟓	𝟓	X
cana-4116	380	68	)	)	PUNCT
cana-4116	380	69	𝐶𝑖(𝐼𝑎𝑐𝑐	𝐶𝑖(𝐼𝑎𝑐𝑐	NOUN
cana-4116	380	70	𝑤	𝑤	PROPN
cana-4116	380	71	)	)	PUNCT
cana-4116	380	72	rank	rank	PROPN
cana-4116	380	73	𝐶𝑖(𝐷𝑎	𝐶𝑖(𝐷𝑎	PROPN
cana-4116	380	74	)	)	PUNCT
cana-4116	380	75	rank	rank	NOUN
cana-4116	381	1	𝐴1	𝐴1	PROPN
cana-4116	381	2	.3410	.3410	PROPN
cana-4116	382	1	3	3	NUM
cana-4116	382	2	.5501	.5501	SYM
cana-4116	382	3	4	4	NUM
cana-4116	382	4	𝐴2	𝐴2	NOUN
cana-4116	382	5	.3240	.3240	NOUN
cana-4116	382	6	4	4	NUM
cana-4116	382	7	.5297	.5297	NOUN
cana-4116	382	8	2	2	NUM
cana-4116	382	9	communications	communication	NOUN
cana-4116	382	10	on	on	ADP
cana-4116	382	11	applied	apply	VERB
cana-4116	382	12	nonlinear	nonlinear	ADJ
cana-4116	382	13	analysis	analysis	NOUN
cana-4116	382	14	issn	issn	NOUN
cana-4116	382	15	:	:	PUNCT
cana-4116	382	16	1074	1074	NUM
cana-4116	382	17	-	-	PUNCT
cana-4116	382	18	133x	133x	NUM
cana-4116	382	19	vol	vol	NOUN
cana-4116	382	20	32	32	NUM
cana-4116	382	21	no	no	NOUN
cana-4116	382	22	.	.	PUNCT
cana-4116	383	1	9s	9s	NUM
cana-4116	383	2	(	(	PUNCT
cana-4116	383	3	2025	2025	NUM
cana-4116	383	4	)	)	PUNCT
cana-4116	383	5	1104	1104	NUM
cana-4116	384	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	384	2	𝐴3	𝐴3	PROPN
cana-4116	384	3	.4287	.4287	VERB
cana-4116	384	4	1	1	NUM
cana-4116	384	5	.4694	.4694	SYM
cana-4116	384	6	1	1	NUM
cana-4116	384	7	𝐴4	𝐴4	NOUN
cana-4116	384	8	.3757	.3757	NOUN
cana-4116	384	9	2	2	NUM
cana-4116	384	10	.5385	.5385	NOUN
cana-4116	384	11	3	3	NUM
cana-4116	384	12	figure	figure	NOUN
cana-4116	384	13	4	4	NUM
cana-4116	384	14	:	:	PUNCT
cana-4116	384	15	𝑼+	𝑼+	NOUN
cana-4116	384	16	and	and	CCONJ
cana-4116	384	17	𝑼−	𝑼−	NOUN
cana-4116	384	18	,	,	PUNCT
cana-4116	384	19	closeness	closeness	NOUN
cana-4116	384	20	coefficients	coefficient	NOUN
cana-4116	384	21	and	and	CCONJ
cana-4116	384	22	rank	rank	NOUN
cana-4116	384	23	of	of	ADP
cana-4116	384	24	proposed	propose	VERB
cana-4116	384	25	accuracy	accuracy	NOUN
cana-4116	384	26	measure	measure	NOUN
cana-4116	384	27	figure	figure	VERB
cana-4116	384	28	5	5	NUM
cana-4116	384	29	:	:	PUNCT
cana-4116	384	30	𝑼+	𝑼+	NOUN
cana-4116	384	31	and	and	CCONJ
cana-4116	384	32	𝑼−	𝑼−	NOUN
cana-4116	384	33	,	,	PUNCT
cana-4116	384	34	closeness	closeness	NOUN
cana-4116	384	35	coefficients	coefficient	NOUN
cana-4116	384	36	and	and	CCONJ
cana-4116	384	37	rank	rank	NOUN
cana-4116	384	38	of	of	ADP
cana-4116	384	39	distance	distance	NOUN
cana-4116	384	40	measure	measure	NOUN
cana-4116	384	41	table	table	NOUN
cana-4116	384	42	13	13	NUM
cana-4116	384	43	:	:	PUNCT
cana-4116	384	44	ranking	ranking	NOUN
cana-4116	384	45	of	of	ADP
cana-4116	384	46	alternatives	alternative	NOUN
cana-4116	384	47	𝐼𝑎𝑐𝑐	𝐼𝑎𝑐𝑐	PROPN
cana-4116	384	48	𝑤	𝑤	PROPN
cana-4116	384	49	(	(	PUNCT
cana-4116	384	50	𝛼	𝛼	X
cana-4116	384	51	=	=	SYM
cana-4116	384	52	2	2	NUM
cana-4116	384	53	,	,	PUNCT
cana-4116	384	54	𝛽	𝛽	NOUN
cana-4116	384	55	=	=	SYM
cana-4116	384	56	1	1	NUM
cana-4116	384	57	)	)	PUNCT
cana-4116	384	58	𝐴3	𝐴3	PROPN
cana-4116	384	59	>	>	X
cana-4116	384	60	𝐴4	𝐴4	PROPN
cana-4116	384	61	>	>	X
cana-4116	385	1	𝐴1	𝐴1	PROPN
cana-4116	385	2	>	>	PUNCT
cana-4116	385	3	𝐴2	𝐴2	PROPN
cana-4116	385	4	𝐼𝑎𝑐𝑐	𝐼𝑎𝑐𝑐	PROPN
cana-4116	385	5	𝑤	𝑤	PROPN
cana-4116	385	6	(	(	PUNCT
cana-4116	385	7	𝛼	𝛼	X
cana-4116	385	8	=	=	SYM
cana-4116	385	9	1.5	1.5	NUM
cana-4116	385	10	,	,	PUNCT
cana-4116	385	11	𝛽	𝛽	NOUN
cana-4116	385	12	=	=	SYM
cana-4116	385	13	1.5	1.5	NUM
cana-4116	385	14	)	)	PUNCT
cana-4116	385	15	𝐴3	𝐴3	PROPN
cana-4116	385	16	>	>	X
cana-4116	385	17	𝐴4	𝐴4	PROPN
cana-4116	385	18	>	>	X
cana-4116	386	1	𝐴1	𝐴1	PROPN
cana-4116	386	2	>	>	X
cana-4116	386	3	𝐴2	𝐴2	PROPN
cana-4116	386	4	𝐷1(𝛼	𝐷1(𝛼	NOUN
cana-4116	386	5	=	=	SYM
cana-4116	386	6	2	2	NUM
cana-4116	386	7	,	,	PUNCT
cana-4116	386	8	𝛽	𝛽	NOUN
cana-4116	386	9	=	=	SYM
cana-4116	386	10	1	1	X
cana-4116	386	11	)	)	PUNCT
cana-4116	386	12	𝐴1	𝐴1	PROPN
cana-4116	386	13	>	>	X
cana-4116	386	14	𝐴4	𝐴4	PROPN
cana-4116	386	15	>	>	X
cana-4116	386	16	𝐴3	𝐴3	PROPN
cana-4116	386	17	>	>	X
cana-4116	386	18	𝐴2	𝐴2	PROPN
cana-4116	386	19	𝐷1(𝛼	𝐷1(𝛼	NOUN
cana-4116	386	20	=	=	SYM
cana-4116	386	21	1.5	1.5	NUM
cana-4116	386	22	,	,	PUNCT
cana-4116	386	23	𝛽	𝛽	NOUN
cana-4116	386	24	=	=	SYM
cana-4116	386	25	1.5	1.5	NUM
cana-4116	386	26	)	)	PUNCT
cana-4116	386	27	𝐴1	𝐴1	PROPN
cana-4116	386	28	>	>	X
cana-4116	386	29	𝐴4	𝐴4	PROPN
cana-4116	386	30	>	>	X
cana-4116	386	31	𝐴2	𝐴2	PROPN
cana-4116	386	32	>	>	X
cana-4116	386	33	𝐴3	𝐴3	PROPN
cana-4116	386	34	the	the	DET
cana-4116	386	35	algorithm	algorithm	NOUN
cana-4116	386	36	is	be	AUX
cana-4116	386	37	implemented	implement	VERB
cana-4116	386	38	step	step	NOUN
cana-4116	386	39	-	-	PUNCT
cana-4116	386	40	by	by	ADP
cana-4116	386	41	-	-	PUNCT
cana-4116	386	42	step	step	NOUN
cana-4116	386	43	as	as	SCONJ
cana-4116	386	44	follows	follow	VERB
cana-4116	386	45	:	:	PUNCT
cana-4116	386	46	step1	step1	NOUN
cana-4116	386	47	:	:	PUNCT
cana-4116	386	48	build	build	VERB
cana-4116	386	49	the	the	DET
cana-4116	386	50	dhf	dhf	NOUN
cana-4116	386	51	decision	decision	NOUN
cana-4116	386	52	matrix	matrix	NOUN
cana-4116	386	53	𝐷	𝐷	NOUN
cana-4116	386	54	=	=	PUNCT
cana-4116	387	1	[	[	X
cana-4116	387	2	𝑎𝑖𝑗]5×4	𝑎𝑖𝑗]5×4	ADP
cana-4116	387	3	with	with	ADP
cana-4116	387	4	the	the	DET
cana-4116	387	5	decision	decision	NOUN
cana-4116	387	6	-	-	PUNCT
cana-4116	387	7	maker	maker	NOUN
cana-4116	387	8	’s	’s	PART
cana-4116	387	9	ratings	rating	NOUN
cana-4116	387	10	in	in	ADP
cana-4116	387	11	it	it	PRON
cana-4116	387	12	.	.	PUNCT
cana-4116	388	1	in	in	ADP
cana-4116	388	2	table	table	NOUN
cana-4116	388	3	5	5	NUM
cana-4116	388	4	,	,	PUNCT
cana-4116	388	5	the	the	DET
cana-4116	388	6	fuzzy	fuzzy	ADJ
cana-4116	388	7	decision	decision	NOUN
cana-4116	388	8	matrix	matrix	NOUN
cana-4116	388	9	is	be	AUX
cana-4116	388	10	displayed	display	VERB
cana-4116	388	11	.	.	PUNCT
cana-4116	389	1	communications	communication	NOUN
cana-4116	389	2	on	on	ADP
cana-4116	389	3	applied	apply	VERB
cana-4116	389	4	nonlinear	nonlinear	ADJ
cana-4116	389	5	analysis	analysis	NOUN
cana-4116	389	6	issn	issn	NOUN
cana-4116	389	7	:	:	PUNCT
cana-4116	389	8	1074	1074	NUM
cana-4116	389	9	-	-	PUNCT
cana-4116	389	10	133x	133x	NUM
cana-4116	389	11	vol	vol	NOUN
cana-4116	389	12	32	32	NUM
cana-4116	389	13	no	no	NOUN
cana-4116	389	14	.	.	PUNCT
cana-4116	390	1	9s	9s	NUM
cana-4116	390	2	(	(	PUNCT
cana-4116	390	3	2025	2025	NUM
cana-4116	390	4	)	)	PUNCT
cana-4116	390	5	1105	1105	NUM
cana-4116	390	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	390	7	step2	step2	PROPN
cana-4116	390	8	:	:	PUNCT
cana-4116	390	9	apply	apply	VERB
cana-4116	390	10	the	the	DET
cana-4116	390	11	optimistic	optimistic	ADJ
cana-4116	390	12	principle	principle	NOUN
cana-4116	390	13	to	to	PART
cana-4116	390	14	ensure	ensure	VERB
cana-4116	390	15	that	that	SCONJ
cana-4116	390	16	every	every	DET
cana-4116	390	17	dhfe	dhfe	NOUN
cana-4116	390	18	has	have	VERB
cana-4116	390	19	the	the	DET
cana-4116	390	20	same	same	ADJ
cana-4116	390	21	length	length	NOUN
cana-4116	390	22	by	by	ADP
cana-4116	390	23	repeating	repeat	VERB
cana-4116	390	24	the	the	DET
cana-4116	390	25	maximum	maximum	ADJ
cana-4116	390	26	value	value	NOUN
cana-4116	390	27	in	in	ADP
cana-4116	390	28	each	each	DET
cana-4116	390	29	dhfe	dhfe	NOUN
cana-4116	390	30	.	.	PUNCT
cana-4116	391	1	the	the	DET
cana-4116	391	2	outcomes	outcome	NOUN
cana-4116	391	3	are	be	AUX
cana-4116	391	4	displayed	display	VERB
cana-4116	391	5	in	in	ADP
cana-4116	391	6	table	table	NOUN
cana-4116	391	7	6	6	NUM
cana-4116	391	8	.	.	PUNCT
cana-4116	392	1	step3	step3	PROPN
cana-4116	392	2	:	:	PUNCT
cana-4116	392	3	since	since	SCONJ
cana-4116	392	4	every	every	DET
cana-4116	392	5	attribute	attribute	NOUN
cana-4116	392	6	belongs	belong	VERB
cana-4116	392	7	to	to	ADP
cana-4116	392	8	the	the	DET
cana-4116	392	9	benefit	benefit	NOUN
cana-4116	392	10	type	type	NOUN
cana-4116	392	11	,	,	PUNCT
cana-4116	392	12	table	table	NOUN
cana-4116	392	13	6	6	NUM
cana-4116	392	14	’s	’s	ADV
cana-4116	392	15	normalised	normalise	VERB
cana-4116	392	16	decision	decision	NOUN
cana-4116	392	17	matrix	matrix	NOUN
cana-4116	392	18	corresponds	correspond	VERB
cana-4116	392	19	to	to	ADP
cana-4116	392	20	it	it	PRON
cana-4116	392	21	.	.	PUNCT
cana-4116	393	1	step4	step4	PROPN
cana-4116	393	2	:	:	PUNCT
cana-4116	393	3	using	use	VERB
cana-4116	393	4	eqs.(8	eqs.(8	NUM
cana-4116	393	5	)	)	PUNCT
cana-4116	393	6	and	and	CCONJ
cana-4116	393	7	(	(	PUNCT
cana-4116	393	8	9	9	X
cana-4116	393	9	)	)	PUNCT
cana-4116	393	10	determine	determine	VERB
cana-4116	393	11	the	the	DET
cana-4116	393	12	dhfpis	dhfpis	NOUN
cana-4116	393	13	and	and	CCONJ
cana-4116	393	14	dhfnis	dhfni	NOUN
cana-4116	393	15	;	;	PUNCT
cana-4116	393	16	the	the	DET
cana-4116	393	17	findings	finding	NOUN
cana-4116	393	18	are	be	AUX
cana-4116	393	19	displayed	display	VERB
cana-4116	393	20	in	in	ADP
cana-4116	393	21	table	table	NOUN
cana-4116	393	22	7	7	NUM
cana-4116	393	23	.	.	PUNCT
cana-4116	394	1	step5	step5	PROPN
cana-4116	394	2	:	:	PUNCT
cana-4116	394	3	using	use	VERB
cana-4116	394	4	eq	eq	X
cana-4116	394	5	.	.	PUNCT
cana-4116	395	1	(	(	PUNCT
cana-4116	395	2	7	7	NUM
cana-4116	395	3	)	)	PUNCT
cana-4116	395	4	and	and	CCONJ
cana-4116	395	5	the	the	DET
cana-4116	395	6	dhf	dhf	NOUN
cana-4116	395	7	knowledge	knowledge	PROPN
cana-4116	395	8	measure	measure	NOUN
cana-4116	395	9	eq.(5	eq.(5	NOUN
cana-4116	395	10	)	)	PUNCT
cana-4116	395	11	,	,	PUNCT
cana-4116	395	12	determine	determine	VERB
cana-4116	395	13	the	the	DET
cana-4116	395	14	attribute	attribute	NOUN
cana-4116	395	15	weights	weight	NOUN
cana-4116	395	16	.	.	PUNCT
cana-4116	396	1	the	the	DET
cana-4116	396	2	findings	finding	NOUN
cana-4116	396	3	are	be	AUX
cana-4116	396	4	displayed	display	VERB
cana-4116	396	5	in	in	ADP
cana-4116	396	6	table	table	NOUN
cana-4116	396	7	8	8	NUM
cana-4116	396	8	.	.	PUNCT
cana-4116	397	1	step6	step6	NOUN
cana-4116	397	2	:	:	PUNCT
cana-4116	397	3	utilizing	utilize	VERB
cana-4116	397	4	equations	equation	NOUN
cana-4116	397	5	(	(	PUNCT
cana-4116	397	6	8)	8)	NUM
cana-4116	397	7	and	and	CCONJ
cana-4116	397	8	(	(	PUNCT
cana-4116	397	9	9	9	X
cana-4116	397	10	)	)	PUNCT
cana-4116	397	11	compute	compute	NOUN
cana-4116	397	12	dhfpis	dhfpis	NOUN
cana-4116	397	13	and	and	CCONJ
cana-4116	397	14	dhfnis	dhfni	NOUN
cana-4116	397	15	;	;	PUNCT
cana-4116	397	16	the	the	DET
cana-4116	397	17	results	result	NOUN
cana-4116	397	18	are	be	AUX
cana-4116	397	19	displayed	display	VERB
cana-4116	397	20	in	in	ADP
cana-4116	397	21	tables	table	NOUN
cana-4116	397	22	9	9	NUM
cana-4116	397	23	and	and	CCONJ
cana-4116	397	24	10	10	NUM
cana-4116	397	25	.	.	PUNCT
cana-4116	398	1	we	we	PRON
cana-4116	398	2	conducted	conduct	VERB
cana-4116	398	3	a	a	DET
cana-4116	398	4	comparison	comparison	NOUN
cana-4116	398	5	between	between	ADP
cana-4116	398	6	the	the	DET
cana-4116	398	7	outcomes	outcome	NOUN
cana-4116	398	8	produced	produce	VERB
cana-4116	398	9	with	with	ADP
cana-4116	398	10	our	our	PRON
cana-4116	398	11	proposed	propose	VERB
cana-4116	398	12	dhf	dhf	NOUN
cana-4116	398	13	accuracy	accuracy	NOUN
cana-4116	398	14	measure	measure	NOUN
cana-4116	398	15	and	and	CCONJ
cana-4116	398	16	the	the	DET
cana-4116	398	17	results	result	NOUN
cana-4116	398	18	produced	produce	VERB
cana-4116	398	19	by	by	ADP
cana-4116	398	20	the	the	DET
cana-4116	398	21	currently	currently	ADV
cana-4116	398	22	used	use	VERB
cana-4116	398	23	dhf	dhf	NOUN
cana-4116	398	24	distance	distance	NOUN
cana-4116	398	25	measurement	measurement	NOUN
cana-4116	398	26	.	.	PUNCT
cana-4116	399	1	we	we	PRON
cana-4116	399	2	use	use	VERB
cana-4116	399	3	the	the	DET
cana-4116	399	4	following	follow	VERB
cana-4116	399	5	comparison	comparison	NOUN
cana-4116	399	6	measure	measure	NOUN
cana-4116	399	7	as	as	ADP
cana-4116	399	8	a	a	DET
cana-4116	399	9	point	point	NOUN
cana-4116	399	10	of	of	ADP
cana-4116	399	11	reference	reference	NOUN
cana-4116	399	12	.	.	PUNCT
cana-4116	400	1	𝐷𝛼(𝐴	𝐷𝛼(𝐴	ADV
cana-4116	400	2	,	,	PUNCT
cana-4116	400	3	𝐵	𝐵	NOUN
cana-4116	400	4	)	)	PUNCT
cana-4116	400	5	=	=	SYM
cana-4116	401	1	(	(	PUNCT
cana-4116	401	2	∑𝑚	∑𝑚	PROPN
cana-4116	401	3	𝑗=1	𝑗=1	PROPN
cana-4116	401	4	𝑤𝑗	𝑤𝑗	X
cana-4116	401	5	{	{	PUNCT
cana-4116	401	6	1	1	NUM
cana-4116	401	7	2𝑙𝑥𝑖	2𝑙𝑥𝑖	PROPN
cana-4116	401	8	∑	∑	PUNCT
cana-4116	401	9	𝑙𝑥𝑖	𝑙𝑥𝑖	VERB
cana-4116	401	10	𝑖=1	𝑖=1	PROPN
cana-4116	401	11	|ℎ𝐴	|ℎ𝐴	PROPN
cana-4116	401	12	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	401	13	)	)	PUNCT
cana-4116	401	14	−	−	NOUN
cana-4116	401	15	ℎ𝐵	ℎ𝐵	ADJ
cana-4116	401	16	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	401	17	)	)	PUNCT
cana-4116	401	18	|𝛼	|𝛼	NOUN
cana-4116	401	19	+	+	NOUN
cana-4116	401	20	1	1	NUM
cana-4116	401	21	2𝑙𝑥𝑖	2𝑙𝑥𝑖	PROPN
cana-4116	401	22	∑	∑	PUNCT
cana-4116	401	23	𝑙𝑥𝑖	𝑙𝑥𝑖	VERB
cana-4116	401	24	𝑖=1	𝑖=1	PROPN
cana-4116	401	25	|𝑘𝐴	|𝑘𝐴	SYM
cana-4116	401	26	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	401	27	)	)	PUNCT
cana-4116	401	28	−	−	PROPN
cana-4116	401	29	𝑘𝐵	𝑘𝐵	PROPN
cana-4116	401	30	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	401	31	)	)	PUNCT
cana-4116	401	32	|𝛼	|𝛼	NOUN
cana-4116	401	33	}	}	PUNCT
cana-4116	401	34	)	)	PUNCT
cana-4116	401	35	;	;	PUNCT
cana-4116	401	36	𝛼	𝛼	X
cana-4116	401	37	>	>	X
cana-4116	401	38	0	0	NUM
cana-4116	401	39	su	su	PROPN
cana-4116	401	40	et	et	PROPN
cana-4116	401	41	al	al	PROPN
cana-4116	401	42	.	.	PUNCT
cana-4116	402	1	[	[	X
cana-4116	402	2	?	?	X
cana-4116	402	3	]	]	X
cana-4116	402	4	step7	step7	NOUN
cana-4116	402	5	:	:	PUNCT
cana-4116	402	6	using	use	VERB
cana-4116	402	7	equation	equation	NOUN
cana-4116	402	8	(	(	PUNCT
cana-4116	402	9	10	10	NUM
cana-4116	402	10	)	)	PUNCT
cana-4116	402	11	,	,	PUNCT
cana-4116	402	12	get	get	VERB
cana-4116	402	13	the	the	DET
cana-4116	402	14	closeness	closeness	NOUN
cana-4116	402	15	coefficient	coefficient	NOUN
cana-4116	402	16	.	.	PUNCT
cana-4116	403	1	the	the	DET
cana-4116	403	2	findings	finding	NOUN
cana-4116	403	3	are	be	AUX
cana-4116	403	4	displayed	display	VERB
cana-4116	403	5	in	in	ADP
cana-4116	403	6	tables	table	NOUN
cana-4116	403	7	11	11	NUM
cana-4116	403	8	and	and	CCONJ
cana-4116	403	9	12	12	NUM
cana-4116	403	10	.	.	PUNCT
cana-4116	404	1	step8	step8	ADJ
cana-4116	404	2	:	:	PUNCT
cana-4116	404	3	table	table	NOUN
cana-4116	404	4	13	13	NUM
cana-4116	404	5	and	and	CCONJ
cana-4116	404	6	fig	fig	NOUN
cana-4116	404	7	.	.	PUNCT
cana-4116	405	1	2	2	NUM
cana-4116	405	2	,	,	PUNCT
cana-4116	405	3	3	3	NUM
cana-4116	405	4	,	,	PUNCT
cana-4116	405	5	4	4	NUM
cana-4116	405	6	and	and	CCONJ
cana-4116	405	7	5	5	NUM
cana-4116	405	8	presents	present	VERB
cana-4116	405	9	the	the	DET
cana-4116	405	10	ranking	ranking	NOUN
cana-4116	405	11	of	of	ADP
cana-4116	405	12	all	all	DET
cana-4116	405	13	the	the	DET
cana-4116	405	14	alternatives	alternative	NOUN
cana-4116	405	15	based	base	VERB
cana-4116	405	16	on	on	ADP
cana-4116	405	17	the	the	DET
cana-4116	405	18	closeness	closeness	NOUN
cana-4116	405	19	coefficient	coefficient	NOUN
cana-4116	405	20	in	in	ADP
cana-4116	405	21	descending	descend	VERB
cana-4116	405	22	order	order	NOUN
cana-4116	405	23	.	.	PUNCT
cana-4116	406	1	table	table	NOUN
cana-4116	406	2	13	13	NUM
cana-4116	406	3	and	and	CCONJ
cana-4116	406	4	fig.2	fig.2	PROPN
cana-4116	406	5	,	,	PUNCT
cana-4116	406	6	4	4	NUM
cana-4116	406	7	shows	show	VERB
cana-4116	406	8	that	that	SCONJ
cana-4116	406	9	,	,	PUNCT
cana-4116	406	10	with	with	ADP
cana-4116	406	11	our	our	PRON
cana-4116	406	12	proposed	propose	VERB
cana-4116	406	13	dhf	dhf	NOUN
cana-4116	406	14	weighted	weight	VERB
cana-4116	406	15	accuracy	accuracy	NOUN
cana-4116	406	16	measure	measure	NOUN
cana-4116	406	17	,	,	PUNCT
cana-4116	406	18	the	the	DET
cana-4116	406	19	optimum	optimum	ADJ
cana-4116	406	20	alternative	alternative	NOUN
cana-4116	406	21	stays	stay	VERB
cana-4116	406	22	the	the	DET
cana-4116	406	23	same	same	ADJ
cana-4116	406	24	for	for	ADP
cana-4116	406	25	a	a	DET
cana-4116	406	26	range	range	NOUN
cana-4116	406	27	of	of	ADP
cana-4116	406	28	𝛼	𝛼	PRON
cana-4116	406	29	and	and	CCONJ
cana-4116	406	30	𝛽	𝛽	NOUN
cana-4116	406	31	values	value	NOUN
cana-4116	406	32	;	;	PUNCT
cana-4116	406	33	the	the	DET
cana-4116	406	34	parameter	parameter	NOUN
cana-4116	406	35	changes	change	VERB
cana-4116	406	36	,	,	PUNCT
cana-4116	406	37	though	though	ADV
cana-4116	406	38	.	.	PUNCT
cana-4116	407	1	however	however	ADV
cana-4116	407	2	,	,	PUNCT
cana-4116	407	3	even	even	ADV
cana-4116	407	4	when	when	SCONJ
cana-4116	407	5	the	the	DET
cana-4116	407	6	value	value	NOUN
cana-4116	407	7	of	of	ADP
cana-4116	407	8	parameter	parameter	NOUN
cana-4116	407	9	𝛼	𝛼	PROPN
cana-4116	407	10	and	and	CCONJ
cana-4116	407	11	𝛽	𝛽	NOUN
cana-4116	407	12	are	be	AUX
cana-4116	407	13	changed	change	VERB
cana-4116	407	14	,	,	PUNCT
cana-4116	407	15	the	the	DET
cana-4116	407	16	overall	overall	ADJ
cana-4116	407	17	ranking	ranking	NOUN
cana-4116	407	18	of	of	ADP
cana-4116	407	19	the	the	DET
cana-4116	407	20	alternatives	alternative	NOUN
cana-4116	407	21	change	change	VERB
cana-4116	407	22	for	for	ADP
cana-4116	407	23	the	the	DET
cana-4116	407	24	current	current	ADJ
cana-4116	407	25	distance	distance	NOUN
cana-4116	407	26	measure	measure	NOUN
cana-4116	407	27	as	as	SCONJ
cana-4116	407	28	shown	show	VERB
cana-4116	407	29	in	in	ADP
cana-4116	407	30	fig.3	fig.3	PROPN
cana-4116	407	31	and	and	CCONJ
cana-4116	407	32	5	5	NUM
cana-4116	407	33	.	.	NOUN
cana-4116	407	34	6	6	NUM
cana-4116	407	35	detecting	detect	VERB
cana-4116	407	36	patterns	pattern	NOUN
cana-4116	407	37	using	use	VERB
cana-4116	407	38	the	the	DET
cana-4116	407	39	suggested	suggest	VERB
cana-4116	407	40	dhf	dhf	NOUN
cana-4116	407	41	accuracy	accuracy	NOUN
cana-4116	407	42	measure	measure	NOUN
cana-4116	407	43	next	next	ADV
cana-4116	407	44	,	,	PUNCT
cana-4116	407	45	the	the	DET
cana-4116	407	46	accuracy	accuracy	NOUN
cana-4116	407	47	measure	measure	NOUN
cana-4116	407	48	is	be	AUX
cana-4116	407	49	applied	apply	VERB
cana-4116	407	50	to	to	PART
cana-4116	407	51	address	address	VERB
cana-4116	407	52	the	the	DET
cana-4116	407	53	pattern	pattern	NOUN
cana-4116	407	54	detection	detection	NOUN
cana-4116	407	55	problem	problem	NOUN
cana-4116	407	56	with	with	ADP
cana-4116	407	57	dhf	dhf	NOUN
cana-4116	407	58	-	-	PUNCT
cana-4116	407	59	set	set	NOUN
cana-4116	407	60	.	.	PUNCT
cana-4116	408	1	problem	problem	NOUN
cana-4116	408	2	:	:	PUNCT
cana-4116	408	3	examining	examine	VERB
cana-4116	408	4	n	n	PRON
cana-4116	408	5	patterns	pattern	NOUN
cana-4116	408	6	,	,	PUNCT
cana-4116	408	7	which	which	PRON
cana-4116	408	8	are	be	AUX
cana-4116	408	9	represented	represent	VERB
cana-4116	408	10	by	by	ADP
cana-4116	408	11	a	a	DET
cana-4116	408	12	dhf	dhf	NOUN
cana-4116	408	13	-	-	PUNCT
cana-4116	408	14	set	set	VERB
cana-4116	408	15	𝑅𝑗	𝑅𝑗	PROPN
cana-4116	408	16	=	=	PUNCT
cana-4116	408	17	{	{	PUNCT
cana-4116	408	18	〈	〈	NOUN
cana-4116	408	19	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	408	20	,	,	PUNCT
cana-4116	408	21	ℎ𝑅𝑖	ℎ𝑅𝑖	PRON
cana-4116	408	22	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	408	23	)	)	PUNCT
cana-4116	408	24	(	(	PUNCT
cana-4116	408	25	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	408	26	)	)	PUNCT
cana-4116	408	27	,	,	PUNCT
cana-4116	408	28	𝑘𝑅𝑖	𝑘𝑅𝑖	NOUN
cana-4116	408	29	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	408	30	)	)	PUNCT
cana-4116	408	31	(	(	PUNCT
cana-4116	408	32	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	408	33	):	):	PUNCT
cana-4116	408	34	𝑢𝑖	𝑢𝑖	PRON
cana-4116	408	35	∈	∈	PROPN
cana-4116	408	36	𝑈	𝑈	PROPN
cana-4116	408	37	〉	〉	NOUN
cana-4116	408	38	}	}	PUNCT
cana-4116	408	39	,	,	PUNCT
cana-4116	408	40	(	(	PUNCT
cana-4116	408	41	𝑖	𝑖	SYM
cana-4116	408	42	=	=	SYM
cana-4116	408	43	1,2	1,2	NUM
cana-4116	408	44	,	,	PUNCT
cana-4116	408	45	.	.	PUNCT
cana-4116	408	46	.	.	PUNCT
cana-4116	409	1	.	.	PUNCT
cana-4116	410	1	,	,	PUNCT
cana-4116	410	2	𝑛	𝑛	X
cana-4116	410	3	)	)	PUNCT
cana-4116	410	4	defined	define	VERB
cana-4116	410	5	on	on	ADP
cana-4116	410	6	non	non	ADJ
cana-4116	410	7	empty	empty	ADJ
cana-4116	410	8	set	set	NOUN
cana-4116	410	9	𝑈	𝑈	PROPN
cana-4116	410	10	=	=	SYM
cana-4116	410	11	{	{	PUNCT
cana-4116	410	12	𝑢1	𝑢1	PROPN
cana-4116	410	13	,	,	PUNCT
cana-4116	410	14	𝑢2	𝑢2	PROPN
cana-4116	410	15	,	,	PUNCT
cana-4116	410	16	.	.	PUNCT
cana-4116	410	17	.	.	PUNCT
cana-4116	411	1	.	.	PUNCT
cana-4116	412	1	,	,	PUNCT
cana-4116	412	2	𝑢𝑛	𝑢𝑛	X
cana-4116	412	3	}	}	PUNCT
cana-4116	412	4	.	.	PUNCT
cana-4116	413	1	consider	consider	VERB
cana-4116	413	2	any	any	DET
cana-4116	413	3	unknown	unknown	ADJ
cana-4116	413	4	pattern	pattern	NOUN
cana-4116	413	5	𝑇	𝑇	PROPN
cana-4116	413	6	=	=	SYM
cana-4116	413	7	{	{	PUNCT
cana-4116	413	8	〈	〈	NOUN
cana-4116	413	9	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	413	10	,	,	PUNCT
cana-4116	413	11	ℎ𝑇	ℎ𝑇	NOUN
cana-4116	413	12	𝜎(𝑗	𝜎(𝑗	NUM
cana-4116	413	13	)	)	PUNCT
cana-4116	413	14	(	(	PUNCT
cana-4116	413	15	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	413	16	)	)	PUNCT
cana-4116	413	17	,	,	PUNCT
cana-4116	413	18	𝑘𝑇	𝑘𝑇	PROPN
cana-4116	413	19	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	413	20	)	)	PUNCT
cana-4116	413	21	(	(	PUNCT
cana-4116	413	22	𝑢𝑖	𝑢𝑖	NOUN
cana-4116	413	23	):	):	PUNCT
cana-4116	413	24	𝑢𝑖	𝑢𝑖	PRON
cana-4116	413	25	∈	∈	PROPN
cana-4116	413	26	𝑈	𝑈	PROPN
cana-4116	413	27	〉	〉	NOUN
cana-4116	413	28	}	}	PUNCT
cana-4116	413	29	.	.	PUNCT
cana-4116	414	1	the	the	DET
cana-4116	414	2	objective	objective	NOUN
cana-4116	414	3	is	be	AUX
cana-4116	414	4	to	to	PART
cana-4116	414	5	assign	assign	VERB
cana-4116	414	6	pattern	pattern	NOUN
cana-4116	414	7	𝑇	𝑇	PROPN
cana-4116	414	8	to	to	ADP
cana-4116	414	9	one	one	NUM
cana-4116	414	10	of	of	ADP
cana-4116	414	11	the	the	DET
cana-4116	414	12	identified	identify	VERB
cana-4116	414	13	patterns	pattern	NOUN
cana-4116	414	14	𝑅𝑖	𝑅𝑖	ADP
cana-4116	414	15	the	the	DET
cana-4116	414	16	following	follow	VERB
cana-4116	414	17	methods	method	NOUN
cana-4116	414	18	to	to	PART
cana-4116	414	19	solve	solve	VERB
cana-4116	414	20	the	the	DET
cana-4116	414	21	above	above	ADJ
cana-4116	414	22	mentioned	mention	VERB
cana-4116	414	23	issue	issue	NOUN
cana-4116	414	24	.	.	PUNCT
cana-4116	415	1	similarity/	similarity/	NUM
cana-4116	415	2	accuracy	accuracy	NOUN
cana-4116	415	3	measure	measure	NOUN
cana-4116	415	4	based	base	VERB
cana-4116	415	5	detection	detection	NOUN
cana-4116	415	6	:	:	PUNCT
cana-4116	415	7	if	if	SCONJ
cana-4116	415	8	𝑆(𝑅𝑖	𝑆(𝑅𝑖	PROPN
cana-4116	415	9	,	,	PUNCT
cana-4116	415	10	𝑇	𝑇	PROPN
cana-4116	415	11	)	)	PUNCT
cana-4116	415	12	be	be	VERB
cana-4116	415	13	the	the	DET
cana-4116	415	14	𝑇	𝑇	PROPN
cana-4116	415	15	’s	’s	PART
cana-4116	415	16	similarity/	similarity/	NUM
cana-4116	415	17	accuracy	accuracy	NOUN
cana-4116	415	18	pattern	pattern	NOUN
cana-4116	415	19	from	from	ADP
cana-4116	415	20	𝑅𝑖	𝑅𝑖	PROPN
cana-4116	415	21	.	.	PUNCT
cana-4116	416	1	,	,	PUNCT
cana-4116	416	2	at	at	ADP
cana-4116	416	3	that	that	DET
cana-4116	416	4	point	point	NOUN
cana-4116	416	5	𝑇	𝑇	PROPN
cana-4116	416	6	is	be	AUX
cana-4116	416	7	identified	identify	VERB
cana-4116	416	8	as	as	ADP
cana-4116	416	9	pattern	pattern	NOUN
cana-4116	416	10	𝑅𝑖∗	𝑅𝑖∗	NOUN
cana-4116	416	11	,	,	PUNCT
cana-4116	416	12	where	where	SCONJ
cana-4116	416	13	𝑆(𝑇	𝑆(𝑇	PROPN
cana-4116	416	14	,	,	PUNCT
cana-4116	416	15	𝑅𝑖∗	𝑅𝑖∗	NOUN
cana-4116	416	16	)	)	PUNCT
cana-4116	416	17	=	=	SYM
cana-4116	417	1	𝑚𝑎𝑥𝑖=1,2,	𝑚𝑎𝑥𝑖=1,2,	NOUN
cana-4116	417	2	...	...	PUNCT
cana-4116	417	3	,𝑛{𝑆(𝑇	,𝑛{𝑆(𝑇	PUNCT
cana-4116	417	4	,	,	PUNCT
cana-4116	417	5	𝑅𝑖	𝑅𝑖	PROPN
cana-4116	417	6	)	)	PUNCT
cana-4116	417	7	}	}	PUNCT
cana-4116	417	8	.	.	PUNCT
cana-4116	418	1	dissimilarity	dissimilarity	NOUN
cana-4116	418	2	measure	measure	NOUN
cana-4116	418	3	based	base	VERB
cana-4116	418	4	detection	detection	NOUN
cana-4116	418	5	:	:	PUNCT
cana-4116	418	6	if	if	SCONJ
cana-4116	418	7	𝐷(𝑅𝑖	𝐷(𝑅𝑖	PROPN
cana-4116	418	8	,	,	PUNCT
cana-4116	418	9	𝑇	𝑇	PROPN
cana-4116	418	10	)	)	PUNCT
cana-4116	418	11	represents	represent	VERB
cana-4116	418	12	distance	distance	NOUN
cana-4116	418	13	of	of	ADP
cana-4116	418	14	pattern	pattern	NOUN
cana-4116	418	15	𝑇	𝑇	PROPN
cana-4116	418	16	from	from	ADP
cana-4116	418	17	𝑅𝑖.	𝑅𝑖.	PROPN
cana-4116	418	18	then	then	ADV
cana-4116	418	19	𝑇	𝑇	PROPN
cana-4116	418	20	is	be	AUX
cana-4116	418	21	recognized	recognize	VERB
cana-4116	418	22	as	as	ADP
cana-4116	418	23	pattern	pattern	NOUN
cana-4116	418	24	𝑅𝑖∗	𝑅𝑖∗	NOUN
cana-4116	418	25	,	,	PUNCT
cana-4116	418	26	where	where	SCONJ
cana-4116	418	27	𝐷(𝑇	𝐷(𝑇	PROPN
cana-4116	418	28	,	,	PUNCT
cana-4116	418	29	𝑅𝑖∗	𝑅𝑖∗	NOUN
cana-4116	418	30	)	)	PUNCT
cana-4116	418	31	=	=	PUNCT
cana-4116	419	1	𝑚𝑖𝑛𝑖=1,2,	𝑚𝑖𝑛𝑖=1,2,	PROPN
cana-4116	419	2	...	...	PUNCT
cana-4116	419	3	,𝑛{𝐷(𝑇	,𝑛{𝐷(𝑇	PUNCT
cana-4116	419	4	,	,	PUNCT
cana-4116	419	5	𝑅𝑖	𝑅𝑖	PROPN
cana-4116	419	6	)	)	PUNCT
cana-4116	419	7	}	}	PUNCT
cana-4116	419	8	,	,	PUNCT
cana-4116	419	9	communications	communication	NOUN
cana-4116	419	10	on	on	ADP
cana-4116	419	11	applied	apply	VERB
cana-4116	419	12	nonlinear	nonlinear	ADJ
cana-4116	419	13	analysis	analysis	NOUN
cana-4116	419	14	issn	issn	NOUN
cana-4116	419	15	:	:	PUNCT
cana-4116	419	16	1074	1074	NUM
cana-4116	419	17	-	-	PUNCT
cana-4116	419	18	133x	133x	NUM
cana-4116	419	19	vol	vol	NOUN
cana-4116	419	20	32	32	NUM
cana-4116	419	21	no	no	NOUN
cana-4116	419	22	.	.	PUNCT
cana-4116	420	1	9s	9s	NUM
cana-4116	420	2	(	(	PUNCT
cana-4116	420	3	2025	2025	NUM
cana-4116	420	4	)	)	PUNCT
cana-4116	420	5	1106	1106	NUM
cana-4116	420	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	421	1	we	we	PRON
cana-4116	421	2	identify	identify	VERB
cana-4116	421	3	the	the	DET
cana-4116	421	4	pattern	pattern	NOUN
cana-4116	421	5	with	with	ADP
cana-4116	421	6	our	our	PRON
cana-4116	421	7	proposed	propose	VERB
cana-4116	421	8	dhf	dhf	NOUN
cana-4116	421	9	accuracy	accuracy	NOUN
cana-4116	421	10	measure	measure	NOUN
cana-4116	421	11	in	in	ADP
cana-4116	421	12	the	the	DET
cana-4116	421	13	empirical	empirical	ADJ
cana-4116	421	14	investigations	investigation	NOUN
cana-4116	421	15	that	that	PRON
cana-4116	421	16	follow	follow	VERB
cana-4116	421	17	,	,	PUNCT
cana-4116	421	18	and	and	CCONJ
cana-4116	421	19	we	we	PRON
cana-4116	421	20	compare	compare	VERB
cana-4116	421	21	the	the	DET
cana-4116	421	22	recognition	recognition	NOUN
cana-4116	421	23	outcomes	outcome	NOUN
cana-4116	421	24	with	with	ADP
cana-4116	421	25	well	well	ADV
cana-4116	421	26	-	-	PUNCT
cana-4116	421	27	known	know	VERB
cana-4116	421	28	dhf	dhf	NOUN
cana-4116	421	29	distance	distance	NOUN
cana-4116	421	30	and	and	CCONJ
cana-4116	421	31	similarity	similarity	VERB
cana-4116	421	32	measures.the	measures.the	PRON
cana-4116	421	33	distance	distance	NOUN
cana-4116	421	34	measures	measure	NOUN
cana-4116	421	35	𝐷𝑖(𝐴	𝐷𝑖(𝐴	X
cana-4116	421	36	,	,	PUNCT
cana-4116	421	37	𝐵)(𝑖	𝐵)(𝑖	PROPN
cana-4116	421	38	=	=	SYM
cana-4116	421	39	1,2	1,2	NUM
cana-4116	421	40	)	)	PUNCT
cana-4116	421	41	and	and	CCONJ
cana-4116	421	42	similarity	similarity	NOUN
cana-4116	421	43	measures	measure	NOUN
cana-4116	421	44	𝑆𝑖(𝐴	𝑆𝑖(𝐴	X
cana-4116	421	45	,	,	PUNCT
cana-4116	421	46	𝐵)(𝑖	𝐵)(𝑖	PROPN
cana-4116	421	47	=	=	SYM
cana-4116	421	48	1,2	1,2	NUM
cana-4116	421	49	)	)	PUNCT
cana-4116	421	50	that	that	PRON
cana-4116	421	51	are	be	AUX
cana-4116	421	52	currently	currently	ADV
cana-4116	421	53	in	in	ADP
cana-4116	421	54	use	use	NOUN
cana-4116	421	55	are	be	AUX
cana-4116	421	56	first	first	ADV
cana-4116	421	57	listed	list	VERB
cana-4116	421	58	as	as	SCONJ
cana-4116	421	59	follows	follow	VERB
cana-4116	421	60	:	:	PUNCT
cana-4116	421	61	𝐷1(𝐴	𝐷1(𝐴	PROPN
cana-4116	421	62	,	,	PUNCT
cana-4116	421	63	𝐵	𝐵	NOUN
cana-4116	421	64	)	)	PUNCT
cana-4116	421	65	=	=	SYM
cana-4116	421	66	1	1	NUM
cana-4116	421	67	2𝑛	2𝑛	NOUN
cana-4116	421	68	∑𝑛	∑𝑛	PROPN
cana-4116	421	69	𝑖=1	𝑖=1	PROPN
cana-4116	421	70	{	{	PUNCT
cana-4116	421	71	1	1	NUM
cana-4116	421	72	𝑙𝑥𝑖	𝑙𝑥𝑖	ADJ
cana-4116	421	73	∑	∑	PROPN
cana-4116	421	74	𝑙𝑥𝑖	𝑙𝑥𝑖	PROPN
cana-4116	421	75	𝑗=1	𝑗=1	PROPN
cana-4116	421	76	|ℎ𝐴	|ℎ𝐴	VERB
cana-4116	421	77	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	421	78	)	)	PUNCT
cana-4116	421	79	−	−	NOUN
cana-4116	421	80	ℎ𝐵	ℎ𝐵	ADJ
cana-4116	421	81	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	421	82	)	)	PUNCT
cana-4116	422	1	|	|	ADV
cana-4116	422	2	+	+	CCONJ
cana-4116	422	3	1	1	NUM
cana-4116	422	4	𝑚𝑥𝑖	𝑚𝑥𝑖	NOUN
cana-4116	422	5	∑	∑	PUNCT
cana-4116	422	6	𝑚𝑥𝑖	𝑚𝑥𝑖	NOUN
cana-4116	422	7	𝑗=1	𝑗=1	PROPN
cana-4116	422	8	|𝑘𝐴	|𝑘𝐴	NUM
cana-4116	422	9	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	422	10	)	)	PUNCT
cana-4116	422	11	−	−	PROPN
cana-4116	422	12	𝑘𝐵	𝑘𝐵	PROPN
cana-4116	422	13	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	422	14	)	)	PUNCT
cana-4116	422	15	|	|	ADV
cana-4116	422	16	}	}	PUNCT
cana-4116	422	17	,	,	PUNCT
cana-4116	422	18	singh[31	singh[31	X
cana-4116	422	19	]	]	X
cana-4116	422	20	𝐷2(𝐴	𝐷2(𝐴	ADJ
cana-4116	422	21	,	,	PUNCT
cana-4116	422	22	𝐵	𝐵	NOUN
cana-4116	422	23	)	)	PUNCT
cana-4116	422	24	=	=	PUNCT
cana-4116	423	1	∑𝑛	∑𝑛	ADJ
cana-4116	423	2	𝑖=1	𝑖=1	PUNCT
cana-4116	423	3	{	{	PUNCT
cana-4116	423	4	1	1	NUM
cana-4116	423	5	𝑛	𝑛	PROPN
cana-4116	423	6	(	(	PUNCT
cana-4116	423	7	1	1	NUM
cana-4116	423	8	𝑙𝑥𝑖	𝑙𝑥𝑖	ADJ
cana-4116	423	9	∑	∑	PROPN
cana-4116	423	10	𝑙𝑥𝑖	𝑙𝑥𝑖	PROPN
cana-4116	423	11	𝑗=1	𝑗=1	PROPN
cana-4116	423	12	|ℎ𝐴	|ℎ𝐴	VERB
cana-4116	423	13	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	423	14	)	)	PUNCT
cana-4116	423	15	−	−	NOUN
cana-4116	423	16	ℎ𝐵	ℎ𝐵	ADJ
cana-4116	423	17	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	423	18	)	)	PUNCT
cana-4116	423	19	|𝛼	|𝛼	NOUN
cana-4116	423	20	+	+	PUNCT
cana-4116	423	21	1	1	NUM
cana-4116	423	22	𝑚𝑥𝑖	𝑚𝑥𝑖	NOUN
cana-4116	423	23	∑	∑	PUNCT
cana-4116	423	24	𝑚𝑥𝑖	𝑚𝑥𝑖	NOUN
cana-4116	423	25	𝑗=1	𝑗=1	PROPN
cana-4116	423	26	|𝑘𝐴	|𝑘𝐴	NUM
cana-4116	423	27	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	423	28	)	)	PUNCT
cana-4116	423	29	−	−	PROPN
cana-4116	423	30	𝑘𝐵	𝑘𝐵	PROPN
cana-4116	423	31	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	423	32	)	)	PUNCT
cana-4116	423	33	|𝛼	|𝛼	NOUN
cana-4116	423	34	)	)	PUNCT
cana-4116	423	35	}	}	PUNCT
cana-4116	423	36	1	1	NUM
cana-4116	423	37	𝛼	𝛼	NOUN
cana-4116	423	38	,	,	PUNCT
cana-4116	423	39	wang	wang	PROPN
cana-4116	423	40	et	et	PROPN
cana-4116	423	41	al.[29	al.[29	PROPN
cana-4116	423	42	]	]	X
cana-4116	424	1	𝑆1(𝐴	𝑆1(𝐴	PROPN
cana-4116	424	2	,	,	PUNCT
cana-4116	424	3	𝐵	𝐵	NOUN
cana-4116	424	4	)	)	PUNCT
cana-4116	424	5	=	=	SYM
cana-4116	424	6	1	1	NUM
cana-4116	424	7	2𝑛	2𝑛	NOUN
cana-4116	424	8	∑𝑛	∑𝑛	PROPN
cana-4116	424	9	𝑖=1	𝑖=1	PUNCT
cana-4116	424	10	∑	∑	PUNCT
cana-4116	424	11	𝑙𝑥𝑖	𝑙𝑥𝑖	PROPN
cana-4116	424	12	𝑗=1	𝑗=1	PROPN
cana-4116	425	1	[	[	X
cana-4116	425	2	𝑚𝑖𝑛{|ℎ𝐴	𝑚𝑖𝑛{|ℎ𝐴	NOUN
cana-4116	425	3	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	425	4	)	)	PUNCT
cana-4116	425	5	,	,	PUNCT
cana-4116	425	6	ℎ𝐵	ℎ𝐵	ADJ
cana-4116	425	7	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	425	8	)	)	PUNCT
cana-4116	425	9	|}]+∑	|}]+∑	ADJ
cana-4116	425	10	𝑚𝑥𝑖	𝑚𝑥𝑖	NOUN
cana-4116	425	11	𝑗=1	𝑗=1	PROPN
cana-4116	426	1	[	[	X
cana-4116	426	2	𝑚𝑖𝑛{|𝑘𝐴	𝑚𝑖𝑛{|𝑘𝐴	NUM
cana-4116	426	3	𝜎(𝑗	𝜎(𝑗	NUM
cana-4116	426	4	)	)	PUNCT
cana-4116	426	5	,	,	PUNCT
cana-4116	426	6	𝑘𝐵	𝑘𝐵	PROPN
cana-4116	426	7	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	426	8	)	)	PUNCT
cana-4116	426	9	|	|	ADV
cana-4116	426	10	}	}	PUNCT
cana-4116	426	11	]	]	PUNCT
cana-4116	426	12	∑	∑	PUNCT
cana-4116	426	13	𝑙𝑥𝑖	𝑙𝑥𝑖	VERB
cana-4116	426	14	𝑗=1	𝑗=1	PUNCT
cana-4116	427	1	[	[	X
cana-4116	427	2	𝑚𝑎𝑥{|ℎ𝐴	𝑚𝑎𝑥{|ℎ𝐴	NUM
cana-4116	427	3	𝜎(𝑗	𝜎(𝑗	NUM
cana-4116	427	4	)	)	PUNCT
cana-4116	427	5	,	,	PUNCT
cana-4116	427	6	ℎ𝐵	ℎ𝐵	ADJ
cana-4116	427	7	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	427	8	)	)	PUNCT
cana-4116	427	9	|}]+∑	|}]+∑	ADJ
cana-4116	427	10	𝑚𝑥𝑖	𝑚𝑥𝑖	NOUN
cana-4116	427	11	𝑗=1	𝑗=1	PROPN
cana-4116	428	1	[	[	X
cana-4116	428	2	𝑚𝑎𝑥{|𝑘𝐴	𝑚𝑎𝑥{|𝑘𝐴	PROPN
cana-4116	428	3	𝜎(𝑗	𝜎(𝑗	NUM
cana-4116	428	4	)	)	PUNCT
cana-4116	428	5	,	,	PUNCT
cana-4116	428	6	𝑘𝐵	𝑘𝐵	PROPN
cana-4116	428	7	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	428	8	)	)	PUNCT
cana-4116	428	9	|	|	ADV
cana-4116	428	10	}	}	PUNCT
cana-4116	428	11	]	]	PUNCT
cana-4116	428	12	,	,	PUNCT
cana-4116	428	13	singh	singh	PROPN
cana-4116	429	1	[	[	X
cana-4116	429	2	31	31	NUM
cana-4116	429	3	]	]	SYM
cana-4116	429	4	𝑆2(𝐴	𝑆2(𝐴	PROPN
cana-4116	429	5	,	,	PUNCT
cana-4116	429	6	𝐵	𝐵	NOUN
cana-4116	429	7	)	)	PUNCT
cana-4116	429	8	=	=	SYM
cana-4116	429	9	1	1	NUM
cana-4116	429	10	2𝑛	2𝑛	NOUN
cana-4116	429	11	∑𝑛	∑𝑛	PROPN
cana-4116	429	12	𝑗=1	𝑗=1	PROPN
cana-4116	429	13	(	(	PUNCT
cana-4116	429	14	ℎ𝐴	ℎ𝐴	ADJ
cana-4116	429	15	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	429	16	)	)	PUNCT
cana-4116	429	17	,	,	PUNCT
cana-4116	429	18	ℎ𝐵	ℎ𝐵	ADJ
cana-4116	429	19	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	429	20	)	)	PUNCT
cana-4116	429	21	)	)	PUNCT
cana-4116	430	1	+	+	X
cana-4116	430	2	∑𝑛	∑𝑛	ADJ
cana-4116	430	3	𝑗=1	𝑗=1	X
cana-4116	430	4	(	(	PUNCT
cana-4116	430	5	𝑘𝐴	𝑘𝐴	NOUN
cana-4116	430	6	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	430	7	)	)	PUNCT
cana-4116	430	8	,	,	PUNCT
cana-4116	430	9	𝑘𝐵	𝑘𝐵	PROPN
cana-4116	430	10	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	430	11	)	)	PUNCT
cana-4116	430	12	)	)	PUNCT
cana-4116	430	13	𝑚𝑎𝑥{∑𝑛	𝑚𝑎𝑥{∑𝑛	PROPN
cana-4116	431	1	𝑗=1	𝑗=1	PROPN
cana-4116	431	2	(	(	PUNCT
cana-4116	431	3	ℎ𝐴	ℎ𝐴	ADJ
cana-4116	431	4	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	431	5	)	)	PUNCT
cana-4116	431	6	)	)	PUNCT
cana-4116	431	7	2+(ℎ𝐵	2+(ℎ𝐵	NUM
cana-4116	431	8	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	431	9	)	)	PUNCT
cana-4116	431	10	)	)	PUNCT
cana-4116	431	11	2,∑𝑛	2,∑𝑛	NOUN
cana-4116	431	12	𝑗=1	𝑗=1	SYM
cana-4116	431	13	(	(	PUNCT
cana-4116	431	14	𝑘𝐴	𝑘𝐴	NOUN
cana-4116	431	15	𝜎(𝑗	𝜎(𝑗	PROPN
cana-4116	431	16	)	)	PUNCT
cana-4116	431	17	)	)	PUNCT
cana-4116	431	18	2+(𝑘𝐵	2+(𝑘𝐵	NOUN
cana-4116	431	19	𝜎(𝑗	𝜎(𝑗	NOUN
cana-4116	431	20	)	)	PUNCT
cana-4116	431	21	)	)	PUNCT
cana-4116	431	22	2	2	X
cana-4116	431	23	}	}	PUNCT
cana-4116	431	24	,	,	PUNCT
cana-4116	431	25	singh	singh	PROPN
cana-4116	431	26	[	[	X
cana-4116	431	27	31	31	NUM
cana-4116	431	28	]	]	PUNCT
cana-4116	431	29	example	example	NOUN
cana-4116	431	30	5	5	NUM
cana-4116	431	31	let	let	VERB
cana-4116	431	32	𝑅1	𝑅1	PROPN
cana-4116	431	33	=	=	SYM
cana-4116	431	34	{	{	PUNCT
cana-4116	431	35	〈	〈	X
cana-4116	431	36	{	{	PUNCT
cana-4116	431	37	.2	.2	NUM
cana-4116	431	38	,	,	PUNCT
cana-4116	431	39	.3	.3	NUM
cana-4116	431	40	,	,	PUNCT
cana-4116	431	41	.3	.3	NUM
cana-4116	431	42	}	}	PUNCT
cana-4116	431	43	,	,	PUNCT
cana-4116	431	44	{	{	PUNCT
cana-4116	431	45	.3	.3	NUM
cana-4116	431	46	,	,	PUNCT
cana-4116	431	47	.5	.5	NUM
cana-4116	431	48	,	,	PUNCT
cana-4116	431	49	.5	.5	NUM
cana-4116	431	50	}	}	PUNCT
cana-4116	431	51	〉	〉	NOUN
cana-4116	431	52	,	,	PUNCT
cana-4116	431	53	〈	〈	PROPN
cana-4116	431	54	{	{	PUNCT
cana-4116	431	55	.6	.6	PROPN
cana-4116	431	56	,	,	PUNCT
cana-4116	431	57	.7	.7	PROPN
cana-4116	431	58	,	,	PUNCT
cana-4116	431	59	.8	.8	NUM
cana-4116	431	60	}	}	PUNCT
cana-4116	431	61	,	,	PUNCT
cana-4116	431	62	{	{	PUNCT
cana-4116	431	63	.5	.5	NUM
cana-4116	431	64	,	,	PUNCT
cana-4116	431	65	.5	.5	NUM
cana-4116	431	66	,	,	PUNCT
cana-4116	431	67	.5	.5	NUM
cana-4116	431	68	}	}	PUNCT
cana-4116	431	69	〉	〉	NOUN
cana-4116	431	70	}	}	PUNCT
cana-4116	431	71	,	,	PUNCT
cana-4116	431	72	𝑅2	𝑅2	ADP
cana-4116	431	73	=	=	PUNCT
cana-4116	431	74	{	{	PUNCT
cana-4116	431	75	〈	〈	X
cana-4116	431	76	{	{	SYM
cana-4116	431	77	.1	.1	PROPN
cana-4116	431	78	,	,	PUNCT
cana-4116	431	79	.3	.3	NUM
cana-4116	431	80	,	,	PUNCT
cana-4116	431	81	.3	.3	NUM
cana-4116	431	82	}	}	PUNCT
cana-4116	431	83	,	,	PUNCT
cana-4116	431	84	{	{	PUNCT
cana-4116	431	85	.9	.9	NUM
cana-4116	431	86	,	,	PUNCT
cana-4116	431	87	.9	.9	NUM
cana-4116	431	88	,	,	PUNCT
cana-4116	431	89	.9	.9	NUM
cana-4116	431	90	}	}	PUNCT
cana-4116	431	91	〉	〉	NOUN
cana-4116	431	92	,	,	PUNCT
cana-4116	431	93	〈	〈	PROPN
cana-4116	431	94	{	{	PUNCT
cana-4116	431	95	.7	.7	PROPN
cana-4116	431	96	,	,	PUNCT
cana-4116	431	97	.9	.9	NUM
cana-4116	431	98	,	,	PUNCT
cana-4116	431	99	.9	.9	NUM
cana-4116	431	100	}	}	PUNCT
cana-4116	431	101	,	,	PUNCT
cana-4116	431	102	{	{	PUNCT
cana-4116	431	103	.7	.7	PROPN
cana-4116	431	104	,	,	PUNCT
cana-4116	431	105	.7	.7	PROPN
cana-4116	431	106	,	,	PUNCT
cana-4116	431	107	.7	.7	NOUN
cana-4116	431	108	}	}	PUNCT
cana-4116	431	109	〉	〉	NOUN
cana-4116	431	110	}	}	PUNCT
cana-4116	431	111	,	,	PUNCT
cana-4116	431	112	𝑅3	𝑅3	PROPN
cana-4116	431	113	=	=	SYM
cana-4116	431	114	{	{	PUNCT
cana-4116	431	115	〈	〈	X
cana-4116	431	116	{	{	SYM
cana-4116	431	117	.5	.5	NUM
cana-4116	431	118	,	,	PUNCT
cana-4116	431	119	.5	.5	NUM
cana-4116	431	120	,	,	PUNCT
cana-4116	431	121	.5	.5	NUM
cana-4116	431	122	}	}	PUNCT
cana-4116	431	123	,	,	PUNCT
cana-4116	431	124	{	{	PUNCT
cana-4116	431	125	.3	.3	NUM
cana-4116	431	126	,	,	PUNCT
cana-4116	431	127	.4	.4	NUM
cana-4116	431	128	,	,	PUNCT
cana-4116	431	129	.5	.5	NUM
cana-4116	431	130	}	}	PUNCT
cana-4116	431	131	〉	〉	NOUN
cana-4116	431	132	,	,	PUNCT
cana-4116	431	133	〈	〈	NOUN
cana-4116	431	134	{	{	SYM
cana-4116	431	135	.3	.3	PROPN
cana-4116	431	136	,	,	PUNCT
cana-4116	431	137	.7	.7	PROPN
cana-4116	431	138	,	,	PUNCT
cana-4116	431	139	.7	.7	PROPN
cana-4116	431	140	}	}	PUNCT
cana-4116	431	141	,	,	PUNCT
cana-4116	431	142	{	{	PUNCT
cana-4116	431	143	.4	.4	NUM
cana-4116	431	144	,	,	PUNCT
cana-4116	431	145	.5	.5	NUM
cana-4116	431	146	,	,	PUNCT
cana-4116	431	147	.5	.5	NUM
cana-4116	431	148	}	}	PUNCT
cana-4116	431	149	〉	〉	NOUN
cana-4116	431	150	}	}	PUNCT
cana-4116	431	151	be	be	VERB
cana-4116	431	152	three	three	NUM
cana-4116	431	153	known	know	VERB
cana-4116	431	154	patterns	pattern	NOUN
cana-4116	431	155	.	.	PUNCT
cana-4116	432	1	let	let	VERB
cana-4116	432	2	𝑇	𝑇	PROPN
cana-4116	432	3	=	=	PRON
cana-4116	432	4	{	{	PUNCT
cana-4116	432	5	〈	〈	X
cana-4116	432	6	{	{	PUNCT
cana-4116	432	7	.4	.4	PROPN
cana-4116	432	8	,	,	PUNCT
cana-4116	432	9	.6	.6	NUM
cana-4116	432	10	,	,	PUNCT
cana-4116	432	11	.6	.6	NUM
cana-4116	432	12	}	}	PUNCT
cana-4116	432	13	,	,	PUNCT
cana-4116	432	14	{	{	PUNCT
cana-4116	432	15	.7	.7	PROPN
cana-4116	432	16	,	,	PUNCT
cana-4116	432	17	.8	.8	PROPN
cana-4116	432	18	,	,	PUNCT
cana-4116	432	19	.8	.8	NUM
cana-4116	432	20	}	}	PUNCT
cana-4116	432	21	〉	〉	NOUN
cana-4116	432	22	,	,	PUNCT
cana-4116	432	23	〈	〈	NOUN
cana-4116	432	24	{	{	PUNCT
cana-4116	432	25	.3	.3	NUM
cana-4116	432	26	,	,	PUNCT
cana-4116	432	27	.3	.3	NUM
cana-4116	432	28	,	,	PUNCT
cana-4116	432	29	.3	.3	NUM
cana-4116	432	30	}	}	PUNCT
cana-4116	432	31	,	,	PUNCT
cana-4116	432	32	{	{	PUNCT
cana-4116	432	33	.7	.7	PROPN
cana-4116	432	34	,	,	PUNCT
cana-4116	432	35	.7	.7	PROPN
cana-4116	432	36	,	,	PUNCT
cana-4116	432	37	.7	.7	NOUN
cana-4116	432	38	}	}	PUNCT
cana-4116	432	39	〉	〉	NOUN
cana-4116	432	40	}	}	PUNCT
cana-4116	432	41	be	be	VERB
cana-4116	432	42	unknown	unknown	ADJ
cana-4116	432	43	pattern	pattern	NOUN
cana-4116	432	44	.	.	PUNCT
cana-4116	433	1	we	we	PRON
cana-4116	433	2	use	use	VERB
cana-4116	433	3	a	a	DET
cana-4116	433	4	dissimilarity	dissimilarity	NOUN
cana-4116	433	5	technique	technique	NOUN
cana-4116	433	6	to	to	PART
cana-4116	433	7	classify	classify	VERB
cana-4116	433	8	𝑇	𝑇	PROPN
cana-4116	433	9	to	to	AUX
cana-4116	433	10	𝑅𝑖.	𝑅𝑖.	NOUN
cana-4116	433	11	table	table	NOUN
cana-4116	433	12	14	14	NUM
cana-4116	433	13	:	:	PUNCT
cana-4116	433	14	pattern	pattern	NOUN
cana-4116	433	15	detection	detection	NOUN
cana-4116	433	16	using	use	VERB
cana-4116	433	17	𝑰𝒂𝒄𝒄	𝑰𝒂𝒄𝒄	PROPN
cana-4116	433	18	and	and	CCONJ
cana-4116	433	19	𝑫𝟏	𝑫𝟏	PROPN
cana-4116	433	20	(	(	PUNCT
cana-4116	433	21	𝑅1	𝑅1	PROPN
cana-4116	433	22	,	,	PUNCT
cana-4116	433	23	𝑇	𝑇	PROPN
cana-4116	433	24	)	)	PUNCT
cana-4116	433	25	(	(	PUNCT
cana-4116	433	26	𝑅2	𝑅2	NOUN
cana-4116	433	27	,	,	PUNCT
cana-4116	433	28	𝑇	𝑇	PROPN
cana-4116	433	29	)	)	PUNCT
cana-4116	433	30	(	(	PUNCT
cana-4116	433	31	𝑅3	𝑅3	PROPN
cana-4116	433	32	,	,	PUNCT
cana-4116	433	33	𝑇	𝑇	PROPN
cana-4116	433	34	)	)	PUNCT
cana-4116	433	35	𝐼𝑎𝑐𝑐(𝛼	𝐼𝑎𝑐𝑐(𝛼	PROPN
cana-4116	433	36	=	=	SYM
cana-4116	433	37	1.5	1.5	NUM
cana-4116	433	38	,	,	PUNCT
cana-4116	433	39	𝛽	𝛽	NOUN
cana-4116	433	40	=	=	SYM
cana-4116	433	41	1	1	NUM
cana-4116	433	42	)	)	PUNCT
cana-4116	433	43	.1832	.1832	NOUN
cana-4116	434	1	.2666	.2666	PROPN
cana-4116	434	2	.5674	.5674	PROPN
cana-4116	434	3	𝐷1(𝛼	𝐷1(𝛼	VERB
cana-4116	434	4	=	=	SYM
cana-4116	434	5	1.5	1.5	NUM
cana-4116	434	6	,	,	PUNCT
cana-4116	434	7	𝛽	𝛽	NOUN
cana-4116	434	8	=	=	SYM
cana-4116	434	9	1	1	NUM
cana-4116	434	10	)	)	PUNCT
cana-4116	435	1	.2417	.2417	NOUN
cana-4116	435	2	.3000	.3000	NUM
cana-4116	436	1	.2417	.2417	NUM
cana-4116	436	2	table	table	NOUN
cana-4116	436	3	14	14	NUM
cana-4116	436	4	shows	show	NOUN
cana-4116	436	5	,	,	PUNCT
cana-4116	436	6	𝐼𝑎𝑐𝑐	𝐼𝑎𝑐𝑐	PROPN
cana-4116	436	7	=	=	PUNCT
cana-4116	436	8	(	(	PUNCT
cana-4116	436	9	𝑅3	𝑅3	PROPN
cana-4116	436	10	,	,	PUNCT
cana-4116	436	11	𝑇	𝑇	PROPN
cana-4116	436	12	)	)	PUNCT
cana-4116	436	13	is	be	AUX
cana-4116	436	14	maximum	maximum	ADJ
cana-4116	436	15	.	.	PUNCT
cana-4116	437	1	therefore	therefore	ADV
cana-4116	437	2	𝑇	𝑇	PROPN
cana-4116	437	3	is	be	AUX
cana-4116	437	4	classified	classify	VERB
cana-4116	437	5	to	to	ADP
cana-4116	437	6	𝑅1	𝑅1	PROPN
cana-4116	437	7	.	.	PUNCT
cana-4116	438	1	but	but	CCONJ
cana-4116	438	2	dissimilarity	dissimilarity	NOUN
cana-4116	438	3	measure	measure	NOUN
cana-4116	438	4	𝐷1	𝐷1	NOUN
cana-4116	438	5	is	be	AUX
cana-4116	438	6	unable	unable	ADJ
cana-4116	438	7	to	to	PART
cana-4116	438	8	classify	classify	VERB
cana-4116	438	9	𝑇	𝑇	PROPN
cana-4116	438	10	to	to	ADP
cana-4116	438	11	𝑅𝑖	𝑅𝑖	PROPN
cana-4116	438	12	because	because	SCONJ
cana-4116	438	13	𝐷1(𝑅1	𝐷1(𝑅1	PROPN
cana-4116	438	14	,	,	PUNCT
cana-4116	438	15	𝑇	𝑇	PROPN
cana-4116	438	16	)	)	PUNCT
cana-4116	438	17	and	and	CCONJ
cana-4116	438	18	𝐷1(𝑅3	𝐷1(𝑅3	PROPN
cana-4116	438	19	,	,	PUNCT
cana-4116	438	20	𝑇	𝑇	PROPN
cana-4116	438	21	)	)	PUNCT
cana-4116	438	22	have	have	VERB
cana-4116	438	23	same	same	ADJ
cana-4116	438	24	values	value	NOUN
cana-4116	438	25	.	.	PUNCT
cana-4116	439	1	example	example	NOUN
cana-4116	439	2	6	6	NUM
cana-4116	439	3	let	let	VERB
cana-4116	439	4	𝑅1	𝑅1	NOUN
cana-4116	439	5	=	=	SYM
cana-4116	439	6	{	{	PUNCT
cana-4116	439	7	〈	〈	X
cana-4116	439	8	{	{	SYM
cana-4116	439	9	.3	.3	NUM
cana-4116	439	10	,	,	PUNCT
cana-4116	439	11	.4	.4	NUM
cana-4116	439	12	,	,	PUNCT
cana-4116	439	13	.4	.4	NUM
cana-4116	439	14	}	}	PUNCT
cana-4116	439	15	,	,	PUNCT
cana-4116	439	16	{	{	PUNCT
cana-4116	439	17	.1	.1	NOUN
cana-4116	439	18	,	,	PUNCT
cana-4116	439	19	.2	.2	NUM
cana-4116	439	20	,	,	PUNCT
cana-4116	439	21	.3	.3	NUM
cana-4116	439	22	}	}	PUNCT
cana-4116	439	23	〉	〉	NOUN
cana-4116	439	24	,	,	PUNCT
cana-4116	439	25	〈	〈	NOUN
cana-4116	439	26	{	{	PUNCT
cana-4116	439	27	.3	.3	NUM
cana-4116	439	28	,	,	PUNCT
cana-4116	439	29	.4	.4	NUM
cana-4116	439	30	,	,	PUNCT
cana-4116	439	31	.4	.4	NUM
cana-4116	439	32	}	}	PUNCT
cana-4116	439	33	,	,	PUNCT
cana-4116	439	34	{	{	PUNCT
cana-4116	439	35	.1	.1	NOUN
cana-4116	439	36	,	,	PUNCT
cana-4116	439	37	.2	.2	NUM
cana-4116	439	38	,	,	PUNCT
cana-4116	439	39	.3	.3	NUM
cana-4116	439	40	}	}	PUNCT
cana-4116	439	41	〉	〉	NOUN
cana-4116	439	42	}	}	PUNCT
cana-4116	439	43	,	,	PUNCT
cana-4116	439	44	𝑅2	𝑅2	ADP
cana-4116	439	45	=	=	PUNCT
cana-4116	439	46	{	{	PUNCT
cana-4116	439	47	〈	〈	X
cana-4116	439	48	{	{	PUNCT
cana-4116	439	49	.4	.4	PROPN
cana-4116	439	50	,	,	PUNCT
cana-4116	439	51	.5	.5	NUM
cana-4116	439	52	,	,	PUNCT
cana-4116	439	53	.5	.5	NUM
cana-4116	439	54	}	}	PUNCT
cana-4116	439	55	,	,	PUNCT
cana-4116	439	56	{	{	PUNCT
cana-4116	439	57	.2	.2	NUM
cana-4116	439	58	,	,	PUNCT
cana-4116	439	59	.3	.3	NUM
cana-4116	439	60	,	,	PUNCT
cana-4116	439	61	.5	.5	NUM
cana-4116	439	62	}	}	PUNCT
cana-4116	439	63	〉	〉	NOUN
cana-4116	439	64	,	,	PUNCT
cana-4116	439	65	〈	〈	PROPN
cana-4116	439	66	{	{	SYM
cana-4116	439	67	.7	.7	PROPN
cana-4116	439	68	,	,	PUNCT
cana-4116	439	69	.8	.8	PROPN
cana-4116	439	70	,	,	PUNCT
cana-4116	439	71	.9	.9	NUM
cana-4116	439	72	}	}	PUNCT
cana-4116	439	73	,	,	PUNCT
cana-4116	439	74	{	{	PUNCT
cana-4116	439	75	.2	.2	NUM
cana-4116	439	76	,	,	PUNCT
cana-4116	439	77	.5	.5	NUM
cana-4116	439	78	,	,	PUNCT
cana-4116	439	79	.6	.6	NUM
cana-4116	439	80	}	}	PUNCT
cana-4116	439	81	〉	〉	NOUN
cana-4116	439	82	}	}	PUNCT
cana-4116	439	83	,	,	PUNCT
cana-4116	439	84	𝑅3	𝑅3	PROPN
cana-4116	439	85	=	=	SYM
cana-4116	439	86	{	{	PUNCT
cana-4116	439	87	〈	〈	X
cana-4116	439	88	{	{	SYM
cana-4116	439	89	.5	.5	NUM
cana-4116	439	90	,	,	PUNCT
cana-4116	439	91	.6	.6	NUM
cana-4116	439	92	,	,	PUNCT
cana-4116	439	93	.6	.6	NUM
cana-4116	439	94	}	}	PUNCT
cana-4116	439	95	,	,	PUNCT
cana-4116	439	96	{	{	PUNCT
cana-4116	439	97	.3	.3	NUM
cana-4116	439	98	,	,	PUNCT
cana-4116	439	99	.3	.3	NUM
cana-4116	439	100	,	,	PUNCT
cana-4116	439	101	.3	.3	NUM
cana-4116	439	102	}	}	PUNCT
cana-4116	439	103	〉	〉	NOUN
cana-4116	439	104	,	,	PUNCT
cana-4116	439	105	〈	〈	PROPN
cana-4116	439	106	{	{	SYM
cana-4116	439	107	.35	.35	NUM
cana-4116	439	108	,	,	PUNCT
cana-4116	439	109	.4	.4	NUM
cana-4116	439	110	,	,	PUNCT
cana-4116	439	111	.4	.4	NUM
cana-4116	439	112	}	}	PUNCT
cana-4116	439	113	,	,	PUNCT
cana-4116	439	114	{	{	PUNCT
cana-4116	439	115	.5	.5	NUM
cana-4116	439	116	,	,	PUNCT
cana-4116	439	117	.6	.6	NUM
cana-4116	439	118	,	,	PUNCT
cana-4116	439	119	.8	.8	NUM
cana-4116	439	120	}	}	PUNCT
cana-4116	439	121	〉	〉	NOUN
cana-4116	439	122	}	}	PUNCT
cana-4116	439	123	be	be	VERB
cana-4116	439	124	three	three	NUM
cana-4116	439	125	known	know	VERB
cana-4116	439	126	patterns	pattern	NOUN
cana-4116	439	127	.	.	PUNCT
cana-4116	440	1	let	let	VERB
cana-4116	440	2	𝑇	𝑇	PROPN
cana-4116	440	3	=	=	PRON
cana-4116	440	4	{	{	PUNCT
cana-4116	440	5	〈	〈	X
cana-4116	440	6	{	{	SYM
cana-4116	440	7	.5	.5	NUM
cana-4116	440	8	,	,	PUNCT
cana-4116	440	9	.6	.6	NUM
cana-4116	440	10	,	,	PUNCT
cana-4116	440	11	.7	.7	PROPN
cana-4116	440	12	}	}	PUNCT
cana-4116	440	13	,	,	PUNCT
cana-4116	440	14	{	{	PUNCT
cana-4116	440	15	.8	.8	NUM
cana-4116	440	16	,	,	PUNCT
cana-4116	440	17	.8	.8	PROPN
cana-4116	440	18	,	,	PUNCT
cana-4116	440	19	.8	.8	NUM
cana-4116	440	20	}	}	PUNCT
cana-4116	440	21	〉	〉	NOUN
cana-4116	440	22	,	,	PUNCT
cana-4116	440	23	〈	〈	NOUN
cana-4116	440	24	{	{	PUNCT
cana-4116	440	25	.4	.4	PROPN
cana-4116	440	26	,	,	PUNCT
cana-4116	440	27	.5	.5	NUM
cana-4116	440	28	,	,	PUNCT
cana-4116	440	29	.6	.6	NUM
cana-4116	440	30	}	}	PUNCT
cana-4116	440	31	,	,	PUNCT
cana-4116	440	32	{	{	PUNCT
cana-4116	440	33	.2	.2	NUM
cana-4116	440	34	,	,	PUNCT
cana-4116	440	35	.3	.3	NUM
cana-4116	440	36	,	,	PUNCT
cana-4116	440	37	.4	.4	NUM
cana-4116	440	38	}	}	PUNCT
cana-4116	440	39	〉	〉	NOUN
cana-4116	440	40	}	}	PUNCT
cana-4116	440	41	be	be	VERB
cana-4116	440	42	unknown	unknown	ADJ
cana-4116	440	43	pattern	pattern	NOUN
cana-4116	440	44	.	.	PUNCT
cana-4116	441	1	we	we	PRON
cana-4116	441	2	use	use	VERB
cana-4116	441	3	a	a	DET
cana-4116	441	4	dissimilarity	dissimilarity	NOUN
cana-4116	441	5	technique	technique	NOUN
cana-4116	441	6	to	to	PART
cana-4116	441	7	classify	classify	VERB
cana-4116	441	8	𝑇	𝑇	PROPN
cana-4116	441	9	to	to	PART
cana-4116	441	10	𝑅𝑖.	𝑅𝑖.	NOUN
cana-4116	441	11	table	table	NOUN
cana-4116	441	12	15	15	NUM
cana-4116	441	13	:	:	PUNCT
cana-4116	441	14	pattern	pattern	NOUN
cana-4116	441	15	detection	detection	NOUN
cana-4116	441	16	using	use	VERB
cana-4116	441	17	𝑰𝒂𝒄𝒄	𝑰𝒂𝒄𝒄	PROPN
cana-4116	441	18	and	and	CCONJ
cana-4116	441	19	𝑫𝟐	𝑫𝟐	PROPN
cana-4116	441	20	(	(	PUNCT
cana-4116	441	21	𝑅1	𝑅1	PROPN
cana-4116	441	22	,	,	PUNCT
cana-4116	441	23	𝑇	𝑇	PROPN
cana-4116	441	24	)	)	PUNCT
cana-4116	441	25	(	(	PUNCT
cana-4116	441	26	𝑅2	𝑅2	NOUN
cana-4116	441	27	,	,	PUNCT
cana-4116	441	28	𝑇	𝑇	PROPN
cana-4116	441	29	)	)	PUNCT
cana-4116	441	30	(	(	PUNCT
cana-4116	441	31	𝑅3	𝑅3	PROPN
cana-4116	441	32	,	,	PUNCT
cana-4116	441	33	𝑇	𝑇	PROPN
cana-4116	441	34	)	)	PUNCT
cana-4116	441	35	𝐼𝑎𝑐𝑐(𝛼	𝐼𝑎𝑐𝑐(𝛼	PROPN
cana-4116	441	36	=	=	SYM
cana-4116	441	37	1.5	1.5	NUM
cana-4116	441	38	,	,	PUNCT
cana-4116	441	39	𝛽	𝛽	NOUN
cana-4116	441	40	=	=	SYM
cana-4116	441	41	1	1	NUM
cana-4116	441	42	)	)	PUNCT
cana-4116	441	43	.1288	.1288	ADP
cana-4116	441	44	.3918	.3918	PROPN
cana-4116	441	45	.2882	.2882	PROPN
cana-4116	441	46	communications	communication	NOUN
cana-4116	441	47	on	on	ADP
cana-4116	441	48	applied	apply	VERB
cana-4116	441	49	nonlinear	nonlinear	ADJ
cana-4116	441	50	analysis	analysis	NOUN
cana-4116	441	51	issn	issn	NOUN
cana-4116	441	52	:	:	PUNCT
cana-4116	441	53	1074	1074	NUM
cana-4116	441	54	-	-	PUNCT
cana-4116	441	55	133x	133x	NUM
cana-4116	441	56	vol	vol	NOUN
cana-4116	441	57	32	32	NUM
cana-4116	441	58	no	no	NOUN
cana-4116	441	59	.	.	PUNCT
cana-4116	442	1	9s	9s	NUM
cana-4116	442	2	(	(	PUNCT
cana-4116	442	3	2025	2025	NUM
cana-4116	442	4	)	)	PUNCT
cana-4116	442	5	1107	1107	NUM
cana-4116	442	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	442	7	𝐷2(𝛼	𝐷2(𝛼	X
cana-4116	443	1	=	=	SYM
cana-4116	443	2	1.5	1.5	NUM
cana-4116	443	3	,	,	PUNCT
cana-4116	443	4	𝛽	𝛽	NOUN
cana-4116	443	5	=	=	SYM
cana-4116	443	6	1	1	NUM
cana-4116	443	7	)	)	PUNCT
cana-4116	443	8	.4492	.4492	PROPN
cana-4116	444	1	.4678	.4678	PROPN
cana-4116	444	2	.4492	.4492	PROPN
cana-4116	444	3	table	table	NOUN
cana-4116	444	4	15	15	NUM
cana-4116	444	5	shows	show	NOUN
cana-4116	444	6	,	,	PUNCT
cana-4116	444	7	𝐼𝑎𝑐𝑐	𝐼𝑎𝑐𝑐	PROPN
cana-4116	444	8	=	=	PUNCT
cana-4116	444	9	(	(	PUNCT
cana-4116	444	10	𝑅3	𝑅3	PROPN
cana-4116	444	11	,	,	PUNCT
cana-4116	444	12	𝑇	𝑇	PROPN
cana-4116	444	13	)	)	PUNCT
cana-4116	444	14	is	be	AUX
cana-4116	444	15	maximum	maximum	ADJ
cana-4116	444	16	.	.	PUNCT
cana-4116	445	1	therefore	therefore	ADV
cana-4116	445	2	𝑇	𝑇	PROPN
cana-4116	445	3	is	be	AUX
cana-4116	445	4	classified	classify	VERB
cana-4116	445	5	to	to	ADP
cana-4116	445	6	𝑅1	𝑅1	PROPN
cana-4116	445	7	.	.	PUNCT
cana-4116	446	1	but	but	CCONJ
cana-4116	446	2	dissimilarity	dissimilarity	NOUN
cana-4116	446	3	measure	measure	NOUN
cana-4116	446	4	𝐷2	𝐷2	PROPN
cana-4116	446	5	is	be	AUX
cana-4116	446	6	unable	unable	ADJ
cana-4116	446	7	to	to	PART
cana-4116	446	8	classify	classify	VERB
cana-4116	446	9	𝑇	𝑇	PROPN
cana-4116	446	10	to	to	ADP
cana-4116	446	11	𝑅𝑖	𝑅𝑖	PROPN
cana-4116	446	12	because	because	SCONJ
cana-4116	446	13	𝐷2(𝑅1	𝐷2(𝑅1	PROPN
cana-4116	446	14	,	,	PUNCT
cana-4116	446	15	𝑇	𝑇	PROPN
cana-4116	446	16	)	)	PUNCT
cana-4116	446	17	and	and	CCONJ
cana-4116	446	18	𝐷2(𝑅3	𝐷2(𝑅3	PROPN
cana-4116	446	19	,	,	PUNCT
cana-4116	446	20	𝑇	𝑇	PROPN
cana-4116	446	21	)	)	PUNCT
cana-4116	446	22	have	have	VERB
cana-4116	446	23	same	same	ADJ
cana-4116	446	24	values	value	NOUN
cana-4116	446	25	.	.	PUNCT
cana-4116	447	1	example	example	NOUN
cana-4116	447	2	7	7	NUM
cana-4116	447	3	let	let	VERB
cana-4116	447	4	𝑅1	𝑅1	NOUN
cana-4116	447	5	=	=	SYM
cana-4116	447	6	{	{	PUNCT
cana-4116	447	7	〈	〈	PROPN
cana-4116	447	8	{	{	SYM
cana-4116	447	9	.7	.7	PROPN
cana-4116	447	10	,	,	PUNCT
cana-4116	447	11	.8	.8	PROPN
cana-4116	447	12	,	,	PUNCT
cana-4116	447	13	.9	.9	NUM
cana-4116	447	14	}	}	PUNCT
cana-4116	447	15	,	,	PUNCT
cana-4116	447	16	{	{	PUNCT
cana-4116	447	17	.1	.1	NOUN
cana-4116	447	18	,	,	PUNCT
cana-4116	447	19	.2	.2	NUM
cana-4116	447	20	,	,	PUNCT
cana-4116	447	21	.3	.3	NUM
cana-4116	447	22	}	}	PUNCT
cana-4116	447	23	〉	〉	NOUN
cana-4116	447	24	,	,	PUNCT
cana-4116	447	25	〈	〈	NOUN
cana-4116	447	26	{	{	PUNCT
cana-4116	447	27	.3	.3	NUM
cana-4116	447	28	,	,	PUNCT
cana-4116	447	29	.4	.4	NUM
cana-4116	447	30	,	,	PUNCT
cana-4116	447	31	.4	.4	NUM
cana-4116	447	32	}	}	PUNCT
cana-4116	447	33	,	,	PUNCT
cana-4116	447	34	{	{	PUNCT
cana-4116	447	35	.1	.1	NOUN
cana-4116	447	36	,	,	PUNCT
cana-4116	447	37	.2	.2	NUM
cana-4116	447	38	,	,	PUNCT
cana-4116	447	39	.3	.3	NUM
cana-4116	447	40	}	}	PUNCT
cana-4116	447	41	〉	〉	NOUN
cana-4116	447	42	}	}	PUNCT
cana-4116	447	43	,	,	PUNCT
cana-4116	447	44	𝑅2	𝑅2	ADP
cana-4116	447	45	=	=	PUNCT
cana-4116	447	46	{	{	PUNCT
cana-4116	447	47	〈	〈	X
cana-4116	447	48	{	{	PUNCT
cana-4116	447	49	.4	.4	PROPN
cana-4116	447	50	,	,	PUNCT
cana-4116	447	51	.5	.5	NUM
cana-4116	447	52	,	,	PUNCT
cana-4116	447	53	.5	.5	NUM
cana-4116	447	54	}	}	PUNCT
cana-4116	447	55	,	,	PUNCT
cana-4116	447	56	{	{	PUNCT
cana-4116	447	57	.2	.2	NUM
cana-4116	447	58	,	,	PUNCT
cana-4116	447	59	.3	.3	NUM
cana-4116	447	60	,	,	PUNCT
cana-4116	447	61	.5	.5	NUM
cana-4116	447	62	}	}	PUNCT
cana-4116	447	63	〉	〉	NOUN
cana-4116	447	64	,	,	PUNCT
cana-4116	447	65	〈	〈	PROPN
cana-4116	447	66	{	{	SYM
cana-4116	447	67	.7	.7	PROPN
cana-4116	447	68	,	,	PUNCT
cana-4116	447	69	.8	.8	PROPN
cana-4116	447	70	,	,	PUNCT
cana-4116	447	71	.9	.9	NUM
cana-4116	447	72	}	}	PUNCT
cana-4116	447	73	,	,	PUNCT
cana-4116	447	74	{	{	PUNCT
cana-4116	447	75	.2	.2	NUM
cana-4116	447	76	,	,	PUNCT
cana-4116	447	77	.5	.5	NUM
cana-4116	447	78	,	,	PUNCT
cana-4116	447	79	.5	.5	NUM
cana-4116	447	80	}	}	PUNCT
cana-4116	447	81	〉	〉	NOUN
cana-4116	447	82	}	}	PUNCT
cana-4116	447	83	,	,	PUNCT
cana-4116	447	84	𝑅3	𝑅3	PROPN
cana-4116	447	85	=	=	SYM
cana-4116	447	86	{	{	PUNCT
cana-4116	447	87	〈	〈	X
cana-4116	447	88	{	{	SYM
cana-4116	447	89	.1	.1	PROPN
cana-4116	447	90	,	,	PUNCT
cana-4116	447	91	.2	.2	NUM
cana-4116	447	92	,	,	PUNCT
cana-4116	447	93	.2	.2	NUM
cana-4116	447	94	}	}	PUNCT
cana-4116	447	95	,	,	PUNCT
cana-4116	447	96	{	{	PUNCT
cana-4116	447	97	.4	.4	NUM
cana-4116	447	98	,	,	PUNCT
cana-4116	447	99	.5	.5	NUM
cana-4116	447	100	,	,	PUNCT
cana-4116	447	101	.6	.6	NUM
cana-4116	447	102	}	}	PUNCT
cana-4116	447	103	〉	〉	NOUN
cana-4116	447	104	,	,	PUNCT
cana-4116	447	105	〈	〈	NOUN
cana-4116	447	106	{	{	PUNCT
cana-4116	447	107	.4	.4	PROPN
cana-4116	447	108	,	,	PUNCT
cana-4116	447	109	.5	.5	NUM
cana-4116	447	110	,	,	PUNCT
cana-4116	447	111	.5	.5	NUM
cana-4116	447	112	}	}	PUNCT
cana-4116	447	113	,	,	PUNCT
cana-4116	447	114	{	{	PUNCT
cana-4116	447	115	.5	.5	NUM
cana-4116	447	116	,	,	PUNCT
cana-4116	447	117	.6	.6	NUM
cana-4116	447	118	,	,	PUNCT
cana-4116	447	119	.8	.8	NUM
cana-4116	447	120	}	}	PUNCT
cana-4116	447	121	〉	〉	NOUN
cana-4116	447	122	}	}	PUNCT
cana-4116	447	123	be	be	VERB
cana-4116	447	124	three	three	NUM
cana-4116	447	125	known	know	VERB
cana-4116	447	126	patterns	pattern	NOUN
cana-4116	447	127	.	.	PUNCT
cana-4116	448	1	let	let	VERB
cana-4116	448	2	𝑇	𝑇	PROPN
cana-4116	448	3	=	=	PRON
cana-4116	448	4	{	{	PUNCT
cana-4116	448	5	〈	〈	X
cana-4116	448	6	{	{	PUNCT
cana-4116	448	7	.2	.2	NUM
cana-4116	448	8	,	,	PUNCT
cana-4116	448	9	.6	.6	NUM
cana-4116	448	10	,	,	PUNCT
cana-4116	448	11	.7	.7	PROPN
cana-4116	448	12	}	}	PUNCT
cana-4116	448	13	,	,	PUNCT
cana-4116	448	14	{	{	PUNCT
cana-4116	448	15	.6	.6	PROPN
cana-4116	448	16	,	,	PUNCT
cana-4116	448	17	.7	.7	PROPN
cana-4116	448	18	,	,	PUNCT
cana-4116	448	19	.8	.8	NUM
cana-4116	448	20	}	}	PUNCT
cana-4116	448	21	〉	〉	NOUN
cana-4116	448	22	,	,	PUNCT
cana-4116	448	23	〈	〈	PROPN
cana-4116	448	24	{	{	PUNCT
cana-4116	448	25	.2	.2	NUM
cana-4116	448	26	,	,	PUNCT
cana-4116	448	27	.5	.5	NUM
cana-4116	448	28	,	,	PUNCT
cana-4116	448	29	.5	.5	NUM
cana-4116	448	30	}	}	PUNCT
cana-4116	448	31	,	,	PUNCT
cana-4116	448	32	{	{	PUNCT
cana-4116	448	33	.1	.1	NOUN
cana-4116	448	34	,	,	PUNCT
cana-4116	448	35	.2	.2	NUM
cana-4116	448	36	,	,	PUNCT
cana-4116	448	37	.3	.3	NUM
cana-4116	448	38	}	}	PUNCT
cana-4116	448	39	〉	〉	NOUN
cana-4116	448	40	}	}	PUNCT
cana-4116	448	41	be	be	VERB
cana-4116	448	42	unknown	unknown	ADJ
cana-4116	448	43	pattern	pattern	NOUN
cana-4116	448	44	.	.	PUNCT
cana-4116	449	1	we	we	PRON
cana-4116	449	2	use	use	VERB
cana-4116	449	3	a	a	DET
cana-4116	449	4	similarity	similarity	NOUN
cana-4116	449	5	technique	technique	NOUN
cana-4116	449	6	to	to	PART
cana-4116	449	7	classify	classify	VERB
cana-4116	449	8	𝑇	𝑇	PROPN
cana-4116	449	9	to	to	AUX
cana-4116	449	10	𝑅𝑖.	𝑅𝑖.	NOUN
cana-4116	449	11	table	table	NOUN
cana-4116	449	12	16	16	NUM
cana-4116	449	13	:	:	PUNCT
cana-4116	449	14	pattern	pattern	NOUN
cana-4116	449	15	detection	detection	NOUN
cana-4116	449	16	using	use	VERB
cana-4116	449	17	𝑰𝒂𝒄𝒄	𝑰𝒂𝒄𝒄	PROPN
cana-4116	449	18	and	and	CCONJ
cana-4116	449	19	𝑺𝟏	𝑺𝟏	PROPN
cana-4116	449	20	(	(	PUNCT
cana-4116	449	21	𝑅1	𝑅1	PROPN
cana-4116	449	22	,	,	PUNCT
cana-4116	449	23	𝑇	𝑇	PROPN
cana-4116	449	24	)	)	PUNCT
cana-4116	449	25	(	(	PUNCT
cana-4116	449	26	𝑅2	𝑅2	NOUN
cana-4116	449	27	,	,	PUNCT
cana-4116	449	28	𝑇	𝑇	PROPN
cana-4116	449	29	)	)	PUNCT
cana-4116	449	30	(	(	PUNCT
cana-4116	449	31	𝑅3	𝑅3	PROPN
cana-4116	449	32	,	,	PUNCT
cana-4116	449	33	𝑇	𝑇	PROPN
cana-4116	449	34	)	)	PUNCT
cana-4116	449	35	𝐼𝑎𝑐𝑐(𝛼	𝐼𝑎𝑐𝑐(𝛼	PROPN
cana-4116	449	36	=	=	SYM
cana-4116	449	37	1.5	1.5	NUM
cana-4116	449	38	,	,	PUNCT
cana-4116	449	39	𝛽	𝛽	NOUN
cana-4116	449	40	=	=	SYM
cana-4116	449	41	1	1	NUM
cana-4116	449	42	)	)	PUNCT
cana-4116	449	43	.3354	.3354	NOUN
cana-4116	449	44	.3257	.3257	NOUN
cana-4116	449	45	.2997	.2997	PUNCT
cana-4116	449	46	𝑆1(𝛼	𝑆1(𝛼	NOUN
cana-4116	449	47	=	=	SYM
cana-4116	449	48	1.5	1.5	NUM
cana-4116	449	49	,	,	PUNCT
cana-4116	449	50	𝛽	𝛽	NOUN
cana-4116	449	51	=	=	SYM
cana-4116	449	52	1	1	NUM
cana-4116	449	53	)	)	PUNCT
cana-4116	449	54	.1885	.1885	NOUN
cana-4116	449	55	.1573	.1573	PROPN
cana-4116	449	56	.1885	.1885	PROPN
cana-4116	449	57	table	table	NOUN
cana-4116	449	58	16	16	NUM
cana-4116	449	59	shows	show	NOUN
cana-4116	449	60	,	,	PUNCT
cana-4116	449	61	𝐼𝑎𝑐𝑐	𝐼𝑎𝑐𝑐	PROPN
cana-4116	449	62	=	=	PUNCT
cana-4116	449	63	(	(	PUNCT
cana-4116	449	64	𝑅2	𝑅2	NOUN
cana-4116	449	65	,	,	PUNCT
cana-4116	449	66	𝑇	𝑇	PROPN
cana-4116	449	67	)	)	PUNCT
cana-4116	449	68	is	be	AUX
cana-4116	449	69	maximum	maximum	ADJ
cana-4116	449	70	.	.	PUNCT
cana-4116	450	1	therefore	therefore	ADV
cana-4116	450	2	𝑇	𝑇	PROPN
cana-4116	450	3	is	be	AUX
cana-4116	450	4	classified	classify	VERB
cana-4116	450	5	to	to	PART
cana-4116	450	6	𝑅2	𝑅2	VERB
cana-4116	450	7	.	.	PUNCT
cana-4116	451	1	but	but	CCONJ
cana-4116	451	2	dissimilarity	dissimilarity	NOUN
cana-4116	451	3	measure	measure	NOUN
cana-4116	451	4	𝑆1	𝑆1	NOUN
cana-4116	451	5	is	be	AUX
cana-4116	451	6	unable	unable	ADJ
cana-4116	451	7	to	to	PART
cana-4116	451	8	classify	classify	VERB
cana-4116	451	9	𝑇	𝑇	PROPN
cana-4116	451	10	to	to	ADP
cana-4116	451	11	𝑅𝑖	𝑅𝑖	PROPN
cana-4116	451	12	because	because	SCONJ
cana-4116	451	13	𝑆1(𝑅1	𝑆1(𝑅1	PROPN
cana-4116	451	14	,	,	PUNCT
cana-4116	451	15	𝑇	𝑇	PROPN
cana-4116	451	16	)	)	PUNCT
cana-4116	451	17	and	and	CCONJ
cana-4116	451	18	𝑆1(𝑅3	𝑆1(𝑅3	PROPN
cana-4116	451	19	,	,	PUNCT
cana-4116	451	20	𝑇	𝑇	PROPN
cana-4116	451	21	)	)	PUNCT
cana-4116	451	22	have	have	VERB
cana-4116	451	23	same	same	ADJ
cana-4116	451	24	values	value	NOUN
cana-4116	451	25	.	.	PUNCT
cana-4116	452	1	example	example	NOUN
cana-4116	452	2	8	8	NUM
cana-4116	452	3	let	let	VERB
cana-4116	452	4	𝑅1	𝑅1	PROPN
cana-4116	452	5	=	=	SYM
cana-4116	452	6	{	{	PUNCT
cana-4116	452	7	〈	〈	PROPN
cana-4116	452	8	{	{	PUNCT
cana-4116	452	9	.6	.6	PROPN
cana-4116	452	10	,	,	PUNCT
cana-4116	452	11	.7	.7	PROPN
cana-4116	452	12	,	,	PUNCT
cana-4116	452	13	.8	.8	NUM
cana-4116	452	14	}	}	PUNCT
cana-4116	452	15	,	,	PUNCT
cana-4116	452	16	{	{	PUNCT
cana-4116	452	17	.1	.1	NOUN
cana-4116	452	18	,	,	PUNCT
cana-4116	452	19	.2	.2	NUM
cana-4116	452	20	,	,	PUNCT
cana-4116	452	21	.2	.2	NUM
cana-4116	452	22	}	}	PUNCT
cana-4116	452	23	〉	〉	NOUN
cana-4116	452	24	,	,	PUNCT
cana-4116	452	25	〈	〈	NOUN
cana-4116	452	26	{	{	PUNCT
cana-4116	452	27	.4	.4	PROPN
cana-4116	452	28	,	,	PUNCT
cana-4116	452	29	.5	.5	NUM
cana-4116	452	30	,	,	PUNCT
cana-4116	452	31	.5	.5	NUM
cana-4116	452	32	}	}	PUNCT
cana-4116	452	33	,	,	PUNCT
cana-4116	452	34	{	{	PUNCT
cana-4116	452	35	.2	.2	NUM
cana-4116	452	36	,	,	PUNCT
cana-4116	452	37	.2	.2	NUM
cana-4116	452	38	,	,	PUNCT
cana-4116	452	39	.2	.2	NUM
cana-4116	452	40	}	}	PUNCT
cana-4116	452	41	〉	〉	NOUN
cana-4116	452	42	}	}	PUNCT
cana-4116	452	43	,	,	PUNCT
cana-4116	452	44	𝑅2	𝑅2	ADP
cana-4116	452	45	=	=	PUNCT
cana-4116	452	46	{	{	PUNCT
cana-4116	452	47	〈	〈	X
cana-4116	452	48	{	{	SYM
cana-4116	452	49	.3	.3	NUM
cana-4116	452	50	,	,	PUNCT
cana-4116	452	51	.4	.4	NUM
cana-4116	452	52	,	,	PUNCT
cana-4116	452	53	.5	.5	NUM
cana-4116	452	54	}	}	PUNCT
cana-4116	452	55	,	,	PUNCT
cana-4116	452	56	{	{	PUNCT
cana-4116	452	57	.5	.5	NUM
cana-4116	452	58	,	,	PUNCT
cana-4116	452	59	.6	.6	NUM
cana-4116	452	60	,	,	PUNCT
cana-4116	452	61	.7	.7	PROPN
cana-4116	452	62	}	}	PUNCT
cana-4116	452	63	〉	〉	NOUN
cana-4116	452	64	,	,	PUNCT
cana-4116	452	65	〈	〈	PROPN
cana-4116	452	66	{	{	PUNCT
cana-4116	452	67	.6	.6	PROPN
cana-4116	452	68	,	,	PUNCT
cana-4116	452	69	.7	.7	PROPN
cana-4116	452	70	,	,	PUNCT
cana-4116	452	71	.8	.8	NUM
cana-4116	452	72	}	}	PUNCT
cana-4116	452	73	,	,	PUNCT
cana-4116	452	74	{	{	PUNCT
cana-4116	452	75	.2	.2	NUM
cana-4116	452	76	,	,	PUNCT
cana-4116	452	77	.2	.2	NUM
cana-4116	452	78	,	,	PUNCT
cana-4116	452	79	.2	.2	NUM
cana-4116	452	80	}	}	PUNCT
cana-4116	452	81	〉	〉	NOUN
cana-4116	452	82	}	}	PUNCT
cana-4116	452	83	,	,	PUNCT
cana-4116	452	84	𝑅3	𝑅3	PROPN
cana-4116	452	85	=	=	SYM
cana-4116	452	86	{	{	PUNCT
cana-4116	452	87	〈	〈	X
cana-4116	452	88	{	{	SYM
cana-4116	452	89	.5	.5	NUM
cana-4116	452	90	,	,	PUNCT
cana-4116	452	91	.6	.6	NUM
cana-4116	452	92	,	,	PUNCT
cana-4116	452	93	.7	.7	PROPN
cana-4116	452	94	}	}	PUNCT
cana-4116	452	95	,	,	PUNCT
cana-4116	452	96	{	{	PUNCT
cana-4116	452	97	.3	.3	NUM
cana-4116	452	98	,	,	PUNCT
cana-4116	452	99	.5	.5	NUM
cana-4116	452	100	,	,	PUNCT
cana-4116	452	101	.7	.7	NOUN
cana-4116	452	102	}	}	PUNCT
cana-4116	452	103	〉	〉	NOUN
cana-4116	452	104	,	,	PUNCT
cana-4116	452	105	〈	〈	PROPN
cana-4116	452	106	{	{	SYM
cana-4116	452	107	.5	.5	NUM
cana-4116	452	108	,	,	PUNCT
cana-4116	452	109	.5	.5	NUM
cana-4116	452	110	,	,	PUNCT
cana-4116	452	111	.5	.5	NUM
cana-4116	452	112	}	}	PUNCT
cana-4116	452	113	,	,	PUNCT
cana-4116	452	114	{	{	PUNCT
cana-4116	452	115	.4	.4	NUM
cana-4116	452	116	,	,	PUNCT
cana-4116	452	117	.6	.6	NUM
cana-4116	452	118	,	,	PUNCT
cana-4116	452	119	.7	.7	NOUN
cana-4116	452	120	}	}	PUNCT
cana-4116	452	121	〉	〉	NOUN
cana-4116	452	122	}	}	PUNCT
cana-4116	452	123	be	be	VERB
cana-4116	452	124	three	three	NUM
cana-4116	452	125	known	know	VERB
cana-4116	452	126	patterns	pattern	NOUN
cana-4116	452	127	.	.	PUNCT
cana-4116	453	1	let	let	VERB
cana-4116	453	2	𝑇	𝑇	PROPN
cana-4116	453	3	=	=	PRON
cana-4116	453	4	{	{	PUNCT
cana-4116	453	5	〈	〈	X
cana-4116	453	6	{	{	PUNCT
cana-4116	453	7	.2	.2	NUM
cana-4116	453	8	,	,	PUNCT
cana-4116	453	9	.5	.5	NUM
cana-4116	453	10	,	,	PUNCT
cana-4116	453	11	.6	.6	NUM
cana-4116	453	12	}	}	PUNCT
cana-4116	453	13	,	,	PUNCT
cana-4116	453	14	{	{	PUNCT
cana-4116	453	15	.6	.6	PROPN
cana-4116	453	16	,	,	PUNCT
cana-4116	453	17	.8	.8	PROPN
cana-4116	453	18	,	,	PUNCT
cana-4116	453	19	.8	.8	NUM
cana-4116	453	20	}	}	PUNCT
cana-4116	453	21	〉	〉	NOUN
cana-4116	453	22	,	,	PUNCT
cana-4116	453	23	〈	〈	PROPN
cana-4116	453	24	{	{	PUNCT
cana-4116	453	25	.6	.6	PROPN
cana-4116	453	26	,	,	PUNCT
cana-4116	453	27	.6	.6	NUM
cana-4116	453	28	,	,	PUNCT
cana-4116	453	29	.6	.6	NUM
cana-4116	453	30	}	}	PUNCT
cana-4116	453	31	,	,	PUNCT
cana-4116	453	32	{	{	PUNCT
cana-4116	453	33	.2	.2	NUM
cana-4116	453	34	,	,	PUNCT
cana-4116	453	35	.3	.3	NUM
cana-4116	453	36	,	,	PUNCT
cana-4116	453	37	.4	.4	NUM
cana-4116	453	38	}	}	PUNCT
cana-4116	453	39	〉	〉	NOUN
cana-4116	453	40	}	}	PUNCT
cana-4116	453	41	be	be	VERB
cana-4116	453	42	unknown	unknown	ADJ
cana-4116	453	43	pattern	pattern	NOUN
cana-4116	453	44	.	.	PUNCT
cana-4116	454	1	we	we	PRON
cana-4116	454	2	use	use	VERB
cana-4116	454	3	a	a	DET
cana-4116	454	4	similarity	similarity	NOUN
cana-4116	454	5	technique	technique	NOUN
cana-4116	454	6	to	to	PART
cana-4116	454	7	classify	classify	VERB
cana-4116	454	8	𝑇	𝑇	PROPN
cana-4116	454	9	to	to	PART
cana-4116	454	10	𝑅𝑖.	𝑅𝑖.	NOUN
cana-4116	454	11	table	table	NOUN
cana-4116	454	12	17	17	NUM
cana-4116	454	13	:	:	PUNCT
cana-4116	454	14	pattern	pattern	NOUN
cana-4116	454	15	detection	detection	NOUN
cana-4116	454	16	using	use	VERB
cana-4116	454	17	𝑰𝒂𝒄𝒄	𝑰𝒂𝒄𝒄	PROPN
cana-4116	454	18	and	and	CCONJ
cana-4116	454	19	𝑺𝟐	𝑺𝟐	PROPN
cana-4116	454	20	(	(	PUNCT
cana-4116	454	21	𝑅1	𝑅1	PROPN
cana-4116	454	22	,	,	PUNCT
cana-4116	454	23	𝑇	𝑇	PROPN
cana-4116	454	24	)	)	PUNCT
cana-4116	454	25	(	(	PUNCT
cana-4116	454	26	𝑅2	𝑅2	NOUN
cana-4116	454	27	,	,	PUNCT
cana-4116	454	28	𝑇	𝑇	PROPN
cana-4116	454	29	)	)	PUNCT
cana-4116	454	30	(	(	PUNCT
cana-4116	454	31	𝑅3	𝑅3	PROPN
cana-4116	454	32	,	,	PUNCT
cana-4116	454	33	𝑇	𝑇	PROPN
cana-4116	454	34	)	)	PUNCT
cana-4116	454	35	𝐼𝑎𝑐𝑐(𝛼	𝐼𝑎𝑐𝑐(𝛼	PROPN
cana-4116	454	36	=	=	SYM
cana-4116	454	37	1.5	1.5	NUM
cana-4116	454	38	,	,	PUNCT
cana-4116	454	39	𝛽	𝛽	NOUN
cana-4116	454	40	=	=	SYM
cana-4116	454	41	1	1	NUM
cana-4116	454	42	)	)	PUNCT
cana-4116	454	43	.1877	.1877	NOUN
cana-4116	454	44	.3911	.3911	PROPN
cana-4116	455	1	.5275	.5275	NUM
cana-4116	455	2	𝑆2(𝛼	𝑆2(𝛼	PROPN
cana-4116	456	1	=	=	NOUN
cana-4116	456	2	1.5	1.5	NUM
cana-4116	456	3	,	,	PUNCT
cana-4116	456	4	𝛽	𝛽	NOUN
cana-4116	456	5	=	=	SYM
cana-4116	456	6	1	1	NUM
cana-4116	456	7	)	)	PUNCT
cana-4116	456	8	.2245	.2245	PROPN
cana-4116	457	1	.1514	.1514	PROPN
cana-4116	457	2	.2245	.2245	PROPN
cana-4116	457	3	table	table	NOUN
cana-4116	457	4	17	17	NUM
cana-4116	457	5	shows	show	NOUN
cana-4116	457	6	,	,	PUNCT
cana-4116	457	7	𝐼𝑎𝑐𝑐	𝐼𝑎𝑐𝑐	PROPN
cana-4116	457	8	=	=	PUNCT
cana-4116	457	9	(	(	PUNCT
cana-4116	457	10	𝑅3	𝑅3	PROPN
cana-4116	457	11	,	,	PUNCT
cana-4116	457	12	𝑇	𝑇	PROPN
cana-4116	457	13	)	)	PUNCT
cana-4116	457	14	is	be	AUX
cana-4116	457	15	maximum	maximum	ADJ
cana-4116	457	16	.	.	PUNCT
cana-4116	458	1	therefore	therefore	ADV
cana-4116	458	2	𝑇	𝑇	PROPN
cana-4116	458	3	is	be	AUX
cana-4116	458	4	classified	classify	VERB
cana-4116	458	5	to	to	ADP
cana-4116	458	6	𝑅3	𝑅3	PROPN
cana-4116	458	7	.	.	PUNCT
cana-4116	459	1	but	but	CCONJ
cana-4116	459	2	dissimilarity	dissimilarity	NOUN
cana-4116	459	3	measure	measure	NOUN
cana-4116	459	4	𝑆2	𝑆2	PROPN
cana-4116	459	5	is	be	AUX
cana-4116	459	6	unable	unable	ADJ
cana-4116	459	7	to	to	PART
cana-4116	459	8	classify	classify	VERB
cana-4116	459	9	𝑇	𝑇	PROPN
cana-4116	459	10	to	to	ADP
cana-4116	459	11	𝑅𝑖	𝑅𝑖	PROPN
cana-4116	459	12	because	because	SCONJ
cana-4116	459	13	𝑆2(𝑅1	𝑆2(𝑅1	PROPN
cana-4116	459	14	,	,	PUNCT
cana-4116	459	15	𝑇	𝑇	PROPN
cana-4116	459	16	)	)	PUNCT
cana-4116	459	17	and	and	CCONJ
cana-4116	459	18	𝑆2(𝑅3	𝑆2(𝑅3	NOUN
cana-4116	459	19	,	,	PUNCT
cana-4116	459	20	𝑇	𝑇	PROPN
cana-4116	459	21	)	)	PUNCT
cana-4116	459	22	have	have	VERB
cana-4116	459	23	same	same	ADJ
cana-4116	459	24	values	value	NOUN
cana-4116	459	25	.	.	PUNCT
cana-4116	460	1	comparative	comparative	ADJ
cana-4116	460	2	examinations	examination	NOUN
cana-4116	460	3	of	of	ADP
cana-4116	460	4	similarity	similarity	NOUN
cana-4116	460	5	and	and	CCONJ
cana-4116	460	6	dissimilarity	dissimilarity	NOUN
cana-4116	460	7	metrics	metric	NOUN
cana-4116	460	8	show	show	VERB
cana-4116	460	9	that	that	SCONJ
cana-4116	460	10	no	no	DET
cana-4116	460	11	measure	measure	NOUN
cana-4116	460	12	is	be	AUX
cana-4116	460	13	appropriate	appropriate	ADJ
cana-4116	460	14	for	for	ADP
cana-4116	460	15	every	every	DET
cana-4116	460	16	pattern	pattern	NOUN
cana-4116	460	17	identification	identification	NOUN
cana-4116	460	18	task	task	NOUN
cana-4116	460	19	in	in	ADP
cana-4116	460	20	examples	example	NOUN
cana-4116	460	21	4	4	NUM
cana-4116	460	22	–	–	PUNCT
cana-4116	460	23	7	7	NUM
cana-4116	460	24	.	.	PUNCT
cana-4116	460	25	consequently	consequently	ADV
cana-4116	460	26	,	,	PUNCT
cana-4116	460	27	an	an	DET
cana-4116	460	28	alternate	alternate	ADJ
cana-4116	460	29	approach	approach	NOUN
cana-4116	460	30	is	be	AUX
cana-4116	460	31	needed	need	VERB
cana-4116	460	32	for	for	ADP
cana-4116	460	33	problems	problem	NOUN
cana-4116	460	34	involving	involve	VERB
cana-4116	460	35	pattern	pattern	NOUN
cana-4116	460	36	identification	identification	NOUN
cana-4116	460	37	.	.	PUNCT
cana-4116	461	1	the	the	DET
cana-4116	461	2	suggested	suggest	VERB
cana-4116	461	3	accuracy	accuracy	NOUN
cana-4116	461	4	measure	measure	NOUN
cana-4116	461	5	might	might	AUX
cana-4116	461	6	be	be	AUX
cana-4116	461	7	more	more	ADV
cana-4116	461	8	effective	effective	ADJ
cana-4116	461	9	than	than	ADP
cana-4116	461	10	the	the	DET
cana-4116	461	11	current	current	ADJ
cana-4116	461	12	similarity	similarity	NOUN
cana-4116	461	13	and	and	CCONJ
cana-4116	461	14	dissimilarity	dissimilarity	NOUN
cana-4116	461	15	measures	measure	NOUN
cana-4116	461	16	in	in	ADP
cana-4116	461	17	particular	particular	ADJ
cana-4116	461	18	pattern	pattern	NOUN
cana-4116	461	19	recognition	recognition	NOUN
cana-4116	461	20	scenarios	scenario	NOUN
cana-4116	461	21	.	.	PUNCT
cana-4116	462	1	here	here	ADV
cana-4116	462	2	,	,	PUNCT
cana-4116	462	3	we	we	PRON
cana-4116	462	4	offer	offer	VERB
cana-4116	462	5	a	a	DET
cana-4116	462	6	measure	measure	NOUN
cana-4116	462	7	to	to	PART
cana-4116	462	8	clearly	clearly	ADV
cana-4116	462	9	classify	classify	VERB
cana-4116	462	10	a	a	DET
cana-4116	462	11	pattern	pattern	NOUN
cana-4116	462	12	𝑇	𝑇	NOUN
cana-4116	462	13	into	into	ADP
cana-4116	462	14	one	one	NUM
cana-4116	462	15	of	of	ADP
cana-4116	462	16	the	the	DET
cana-4116	462	17	existing	exist	VERB
cana-4116	462	18	patterns	pattern	NOUN
cana-4116	462	19	.	.	PUNCT
cana-4116	463	1	therefore	therefore	ADV
cana-4116	463	2	,	,	PUNCT
cana-4116	463	3	for	for	ADP
cana-4116	463	4	this	this	DET
cana-4116	463	5	pattern	pattern	NOUN
cana-4116	463	6	detection	detection	NOUN
cana-4116	463	7	problem	problem	NOUN
cana-4116	463	8	,	,	PUNCT
cana-4116	463	9	the	the	DET
cana-4116	463	10	suggested	suggest	VERB
cana-4116	463	11	accuracy	accuracy	NOUN
cana-4116	463	12	measure	measure	NOUN
cana-4116	463	13	technique	technique	NOUN
cana-4116	463	14	performs	perform	VERB
cana-4116	463	15	effectively	effectively	ADV
cana-4116	463	16	.	.	PUNCT
cana-4116	464	1	communications	communication	NOUN
cana-4116	464	2	on	on	ADP
cana-4116	464	3	applied	apply	VERB
cana-4116	464	4	nonlinear	nonlinear	ADJ
cana-4116	464	5	analysis	analysis	NOUN
cana-4116	464	6	issn	issn	NOUN
cana-4116	464	7	:	:	PUNCT
cana-4116	464	8	1074	1074	NUM
cana-4116	464	9	-	-	PUNCT
cana-4116	464	10	133x	133x	NUM
cana-4116	464	11	vol	vol	NOUN
cana-4116	464	12	32	32	NUM
cana-4116	464	13	no	no	NOUN
cana-4116	464	14	.	.	PUNCT
cana-4116	465	1	9s	9s	NUM
cana-4116	465	2	(	(	PUNCT
cana-4116	465	3	2025	2025	NUM
cana-4116	465	4	)	)	PUNCT
cana-4116	465	5	1108	1108	NUM
cana-4116	466	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	466	2	7	7	NUM
cana-4116	466	3	conclusion	conclusion	NOUN
cana-4116	466	4	the	the	DET
cana-4116	466	5	membership	membership	NOUN
cana-4116	466	6	and	and	CCONJ
cana-4116	466	7	non	non	ADJ
cana-4116	466	8	-	-	ADJ
cana-4116	466	9	membership	membership	ADJ
cana-4116	466	10	degrees	degree	NOUN
cana-4116	466	11	of	of	ADP
cana-4116	466	12	the	the	DET
cana-4116	466	13	dhfs	dhfs	NOUN
cana-4116	466	14	are	be	AUX
cana-4116	466	15	represented	represent	VERB
cana-4116	466	16	by	by	ADP
cana-4116	466	17	two	two	NUM
cana-4116	466	18	sets	set	NOUN
cana-4116	466	19	of	of	ADP
cana-4116	466	20	possible	possible	ADJ
cana-4116	466	21	values	value	NOUN
cana-4116	466	22	.	.	PUNCT
cana-4116	467	1	the	the	DET
cana-4116	467	2	dhfs	dhfs	NOUN
cana-4116	467	3	is	be	AUX
cana-4116	467	4	a	a	DET
cana-4116	467	5	comprehensive	comprehensive	ADJ
cana-4116	467	6	set	set	NOUN
cana-4116	467	7	that	that	PRON
cana-4116	467	8	encompasses	encompass	VERB
cana-4116	467	9	various	various	ADJ
cana-4116	467	10	existing	exist	VERB
cana-4116	467	11	sets	set	NOUN
cana-4116	467	12	.	.	PUNCT
cana-4116	468	1	it	it	PRON
cana-4116	468	2	appears	appear	VERB
cana-4116	468	3	to	to	PART
cana-4116	468	4	be	be	AUX
cana-4116	468	5	a	a	DET
cana-4116	468	6	more	more	ADV
cana-4116	468	7	versatile	versatile	ADJ
cana-4116	468	8	strategy	strategy	NOUN
cana-4116	468	9	and	and	CCONJ
cana-4116	468	10	has	have	VERB
cana-4116	468	11	its	its	PRON
cana-4116	468	12	own	own	ADJ
cana-4116	468	13	set	set	NOUN
cana-4116	468	14	of	of	ADP
cana-4116	468	15	desirable	desirable	ADJ
cana-4116	468	16	qualities	quality	NOUN
cana-4116	468	17	and	and	CCONJ
cana-4116	468	18	advantages	advantage	NOUN
cana-4116	468	19	.	.	PUNCT
cana-4116	469	1	it	it	PRON
cana-4116	469	2	is	be	AUX
cana-4116	469	3	found	find	VERB
cana-4116	469	4	that	that	SCONJ
cana-4116	469	5	in	in	ADP
cana-4116	469	6	the	the	DET
cana-4116	469	7	objective	objective	ADJ
cana-4116	469	8	weight	weight	NOUN
cana-4116	469	9	computation	computation	NOUN
cana-4116	469	10	tasks	task	NOUN
cana-4116	469	11	,	,	PUNCT
cana-4116	469	12	the	the	DET
cana-4116	469	13	dhf	dhf	NOUN
cana-4116	469	14	knowledge	knowledge	NOUN
cana-4116	469	15	measure	measure	NOUN
cana-4116	469	16	suggested	suggest	VERB
cana-4116	469	17	in	in	ADP
cana-4116	469	18	this	this	DET
cana-4116	469	19	research	research	NOUN
cana-4116	469	20	outperforms	outperform	VERB
cana-4116	469	21	the	the	DET
cana-4116	469	22	traditional	traditional	ADJ
cana-4116	469	23	dhf	dhf	NOUN
cana-4116	469	24	entropy	entropy	NOUN
cana-4116	469	25	measures	measure	NOUN
cana-4116	469	26	.	.	PUNCT
cana-4116	470	1	the	the	DET
cana-4116	470	2	current	current	ADJ
cana-4116	470	3	study	study	NOUN
cana-4116	470	4	provides	provide	VERB
cana-4116	470	5	four	four	NUM
cana-4116	470	6	instances	instance	NOUN
cana-4116	470	7	to	to	PART
cana-4116	470	8	evaluate	evaluate	VERB
cana-4116	470	9	the	the	DET
cana-4116	470	10	efficacy	efficacy	NOUN
cana-4116	470	11	of	of	ADP
cana-4116	470	12	the	the	DET
cana-4116	470	13	proposed	propose	VERB
cana-4116	470	14	dhf	dhf	NOUN
cana-4116	470	15	knowledge	knowledge	NOUN
cana-4116	470	16	measure	measure	NOUN
cana-4116	470	17	.	.	PUNCT
cana-4116	471	1	while	while	SCONJ
cana-4116	471	2	dealing	deal	VERB
cana-4116	471	3	with	with	ADP
cana-4116	471	4	madm	madm	ADJ
cana-4116	471	5	situations	situation	NOUN
cana-4116	471	6	where	where	SCONJ
cana-4116	471	7	the	the	DET
cana-4116	471	8	attribute	attribute	NOUN
cana-4116	471	9	weights	weight	NOUN
cana-4116	471	10	are	be	AUX
cana-4116	471	11	unknown	unknown	ADJ
cana-4116	471	12	,	,	PUNCT
cana-4116	471	13	the	the	DET
cana-4116	471	14	suggested	suggest	VERB
cana-4116	471	15	knowledge	knowledge	NOUN
cana-4116	471	16	measure	measure	NOUN
cana-4116	471	17	for	for	ADP
cana-4116	471	18	dhfss	dhfss	NOUN
cana-4116	471	19	is	be	AUX
cana-4116	471	20	more	more	ADV
cana-4116	471	21	appropriate	appropriate	ADJ
cana-4116	471	22	and	and	CCONJ
cana-4116	471	23	very	very	ADV
cana-4116	471	24	useful	useful	ADJ
cana-4116	471	25	in	in	ADP
cana-4116	471	26	a	a	DET
cana-4116	471	27	variety	variety	NOUN
cana-4116	471	28	of	of	ADP
cana-4116	471	29	scenarios	scenario	NOUN
cana-4116	471	30	.	.	PUNCT
cana-4116	472	1	we	we	PRON
cana-4116	472	2	also	also	ADV
cana-4116	472	3	use	use	VERB
cana-4116	472	4	the	the	DET
cana-4116	472	5	proposed	propose	VERB
cana-4116	472	6	dhf	dhf	NOUN
cana-4116	472	7	accuracy	accuracy	NOUN
cana-4116	472	8	metric	metric	ADJ
cana-4116	472	9	in	in	ADP
cana-4116	472	10	pattern	pattern	NOUN
cana-4116	472	11	detection	detection	NOUN
cana-4116	472	12	and	and	CCONJ
cana-4116	472	13	compare	compare	VERB
cana-4116	472	14	its	its	PRON
cana-4116	472	15	performance	performance	NOUN
cana-4116	472	16	with	with	ADP
cana-4116	472	17	that	that	PRON
cana-4116	472	18	of	of	ADP
cana-4116	472	19	many	many	ADJ
cana-4116	472	20	other	other	ADJ
cana-4116	472	21	measures	measure	NOUN
cana-4116	472	22	.	.	PUNCT
cana-4116	473	1	compared	compare	VERB
cana-4116	473	2	to	to	ADP
cana-4116	473	3	the	the	DET
cana-4116	473	4	traditional	traditional	ADJ
cana-4116	473	5	dual	dual	ADJ
cana-4116	473	6	-	-	PUNCT
cana-4116	473	7	hesitant	hesitant	ADJ
cana-4116	473	8	measures	measure	NOUN
cana-4116	473	9	of	of	ADP
cana-4116	473	10	comparison	comparison	NOUN
cana-4116	473	11	,	,	PUNCT
cana-4116	473	12	the	the	DET
cana-4116	473	13	suggested	suggest	VERB
cana-4116	473	14	dhf	dhf	NOUN
cana-4116	473	15	accuracy	accuracy	NOUN
cana-4116	473	16	measure	measure	NOUN
cana-4116	473	17	is	be	AUX
cana-4116	473	18	more	more	ADV
cana-4116	473	19	effective	effective	ADJ
cana-4116	473	20	in	in	ADP
cana-4116	473	21	identifying	identify	VERB
cana-4116	473	22	the	the	DET
cana-4116	473	23	unknown	unknown	ADJ
cana-4116	473	24	pattern	pattern	NOUN
cana-4116	473	25	.	.	PUNCT
cana-4116	474	1	numerous	numerous	ADJ
cana-4116	474	2	fields	field	NOUN
cana-4116	474	3	,	,	PUNCT
cana-4116	474	4	such	such	ADJ
cana-4116	474	5	as	as	ADP
cana-4116	474	6	speech	speech	NOUN
cana-4116	474	7	recognition	recognition	NOUN
cana-4116	474	8	,	,	PUNCT
cana-4116	474	9	picture	picture	NOUN
cana-4116	474	10	thresholding	thresholding	NOUN
cana-4116	474	11	,	,	PUNCT
cana-4116	474	12	and	and	CCONJ
cana-4116	474	13	feature	feature	NOUN
cana-4116	474	14	recognition	recognition	NOUN
cana-4116	474	15	,	,	PUNCT
cana-4116	474	16	can	can	AUX
cana-4116	474	17	get	get	VERB
cana-4116	474	18	benefit	benefit	NOUN
cana-4116	474	19	from	from	ADP
cana-4116	474	20	the	the	DET
cana-4116	474	21	application	application	NOUN
cana-4116	474	22	of	of	ADP
cana-4116	474	23	the	the	DET
cana-4116	474	24	recommended	recommend	VERB
cana-4116	474	25	knowledge	knowledge	NOUN
cana-4116	474	26	and	and	CCONJ
cana-4116	474	27	accuracy	accuracy	NOUN
cana-4116	474	28	metrics	metric	NOUN
cana-4116	474	29	.	.	PUNCT
cana-4116	475	1	refrences	refrence	VERB
cana-4116	476	1	[	[	X
cana-4116	476	2	1	1	X
cana-4116	476	3	]	]	PUNCT
cana-4116	476	4	l.	l.	PROPN
cana-4116	476	5	zadeh	zadeh	PROPN
cana-4116	476	6	,	,	PUNCT
cana-4116	476	7	“	"	PUNCT
cana-4116	476	8	fuzzy	fuzzy	ADJ
cana-4116	476	9	sets	set	NOUN
cana-4116	476	10	,	,	PUNCT
cana-4116	476	11	”	"	PUNCT
cana-4116	476	12	inform	inform	VERB
cana-4116	476	13	control	control	NOUN
cana-4116	476	14	,	,	PUNCT
cana-4116	476	15	vol	vol	NOUN
cana-4116	476	16	.	.	PROPN
cana-4116	476	17	8	8	NUM
cana-4116	476	18	,	,	PUNCT
cana-4116	476	19	pp	pp	ADJ
cana-4116	476	20	.	.	PUNCT
cana-4116	477	1	338–353	338–353	NUM
cana-4116	477	2	,	,	PUNCT
cana-4116	477	3	1965	1965	NUM
cana-4116	477	4	.	.	PUNCT
cana-4116	478	1	[	[	X
cana-4116	478	2	2	2	NUM
cana-4116	478	3	]	]	X
cana-4116	478	4	d.	d.	PROPN
cana-4116	478	5	dubois	dubois	PROPN
cana-4116	478	6	,	,	PUNCT
cana-4116	478	7	w.	w.	PROPN
cana-4116	478	8	ostasiewicz	ostasiewicz	PROPN
cana-4116	478	9	,	,	PUNCT
cana-4116	478	10	and	and	CCONJ
cana-4116	478	11	h.	h.	PROPN
cana-4116	478	12	prade	prade	PROPN
cana-4116	478	13	,	,	PUNCT
cana-4116	478	14	“	"	PUNCT
cana-4116	478	15	fuzzy	fuzzy	ADJ
cana-4116	478	16	sets	set	NOUN
cana-4116	478	17	:	:	PUNCT
cana-4116	478	18	history	history	NOUN
cana-4116	478	19	and	and	CCONJ
cana-4116	478	20	basic	basic	ADJ
cana-4116	478	21	notions	notion	NOUN
cana-4116	478	22	,	,	PUNCT
cana-4116	478	23	”	"	PUNCT
cana-4116	478	24	fundamentals	fundamental	NOUN
cana-4116	478	25	of	of	ADP
cana-4116	478	26	fuzzy	fuzzy	ADJ
cana-4116	478	27	sets	set	NOUN
cana-4116	478	28	,	,	PUNCT
cana-4116	478	29	pp	pp	ADV
cana-4116	478	30	.	.	PUNCT
cana-4116	479	1	21–124	21–124	NUM
cana-4116	479	2	,	,	PUNCT
cana-4116	479	3	2000	2000	NUM
cana-4116	479	4	.	.	PUNCT
cana-4116	480	1	[	[	X
cana-4116	480	2	3	3	X
cana-4116	480	3	]	]	PUNCT
cana-4116	480	4	k.	k.	PROPN
cana-4116	480	5	t.	t.	PROPN
cana-4116	480	6	atanassov	atanassov	PROPN
cana-4116	480	7	,	,	PUNCT
cana-4116	480	8	intuitionistic	intuitionistic	ADJ
cana-4116	480	9	fuzzy	fuzzy	ADJ
cana-4116	480	10	sets	set	NOUN
cana-4116	480	11	.	.	PUNCT
cana-4116	481	1	springer	springer	NOUN
cana-4116	481	2	,	,	PUNCT
cana-4116	481	3	1999	1999	NUM
cana-4116	481	4	.	.	PUNCT
cana-4116	482	1	[	[	X
cana-4116	482	2	4	4	X
cana-4116	482	3	]	]	X
cana-4116	482	4	h.	h.	NOUN
cana-4116	482	5	bustince	bustince	PROPN
cana-4116	482	6	,	,	PUNCT
cana-4116	482	7	j.	j.	PROPN
cana-4116	482	8	fernandez	fernandez	PROPN
cana-4116	482	9	,	,	PUNCT
cana-4116	482	10	a.	a.	NOUN
cana-4116	482	11	kolesarova	kolesarova	PROPN
cana-4116	482	12	,	,	PUNCT
cana-4116	482	13	and	and	CCONJ
cana-4116	482	14	r.	r.	PROPN
cana-4116	482	15	mesiar	mesiar	PROPN
cana-4116	482	16	,	,	PUNCT
cana-4116	482	17	“	"	PUNCT
cana-4116	482	18	generation	generation	NOUN
cana-4116	482	19	of	of	ADP
cana-4116	482	20	linear	linear	ADJ
cana-4116	482	21	orders	order	NOUN
cana-4116	482	22	for	for	ADP
cana-4116	482	23	intervals	interval	NOUN
cana-4116	482	24	by	by	ADP
cana-4116	482	25	means	mean	NOUN
cana-4116	482	26	of	of	ADP
cana-4116	482	27	aggregation	aggregation	NOUN
cana-4116	482	28	functions	function	NOUN
cana-4116	482	29	,	,	PUNCT
cana-4116	482	30	”	"	PUNCT
cana-4116	482	31	fuzzy	fuzzy	ADJ
cana-4116	482	32	sets	set	NOUN
cana-4116	482	33	and	and	CCONJ
cana-4116	482	34	systems	system	NOUN
cana-4116	482	35	,	,	PUNCT
cana-4116	482	36	vol	vol	NOUN
cana-4116	482	37	.	.	NOUN
cana-4116	482	38	220	220	NUM
cana-4116	482	39	,	,	PUNCT
cana-4116	482	40	pp	pp	ADJ
cana-4116	482	41	.	.	PUNCT
cana-4116	483	1	69–77	69–77	NUM
cana-4116	483	2	,	,	PUNCT
cana-4116	483	3	2013	2013	NUM
cana-4116	483	4	.	.	PUNCT
cana-4116	484	1	[	[	X
cana-4116	484	2	5	5	NUM
cana-4116	484	3	]	]	X
cana-4116	484	4	i.	i.	PROPN
cana-4116	484	5	b.	b.	PROPN
cana-4116	484	6	turksen	turksen	PROPN
cana-4116	484	7	,	,	PUNCT
cana-4116	484	8	“	"	PUNCT
cana-4116	484	9	interval	interval	NOUN
cana-4116	484	10	valued	value	VERB
cana-4116	484	11	fuzzy	fuzzy	ADJ
cana-4116	484	12	sets	set	NOUN
cana-4116	484	13	based	base	VERB
cana-4116	484	14	on	on	ADP
cana-4116	484	15	normal	normal	ADJ
cana-4116	484	16	forms	form	NOUN
cana-4116	484	17	,	,	PUNCT
cana-4116	484	18	”	"	PUNCT
cana-4116	484	19	fuzzy	fuzzy	ADJ
cana-4116	484	20	sets	set	NOUN
cana-4116	484	21	and	and	CCONJ
cana-4116	484	22	systems	system	NOUN
cana-4116	484	23	,	,	PUNCT
cana-4116	484	24	vol	vol	NOUN
cana-4116	484	25	.	.	PROPN
cana-4116	484	26	20	20	NUM
cana-4116	484	27	,	,	PUNCT
cana-4116	484	28	no	no	INTJ
cana-4116	484	29	.	.	NOUN
cana-4116	484	30	2	2	NUM
cana-4116	484	31	,	,	PUNCT
cana-4116	484	32	pp	pp	ADJ
cana-4116	484	33	.	.	PUNCT
cana-4116	485	1	191–210	191–210	NUM
cana-4116	485	2	,	,	PUNCT
cana-4116	485	3	1986	1986	NUM
cana-4116	485	4	.	.	PUNCT
cana-4116	486	1	[	[	X
cana-4116	486	2	6	6	NUM
cana-4116	486	3	]	]	X
cana-4116	486	4	d.	d.	PROPN
cana-4116	486	5	e.	e.	PROPN
cana-4116	486	6	boekee	boekee	PROPN
cana-4116	486	7	and	and	CCONJ
cana-4116	486	8	j.	j.	PROPN
cana-4116	486	9	c.	c.	PROPN
cana-4116	486	10	van	van	PROPN
cana-4116	486	11	der	der	PROPN
cana-4116	486	12	lubbe	lubbe	NOUN
cana-4116	486	13	,	,	PUNCT
cana-4116	486	14	“	"	PUNCT
cana-4116	486	15	the	the	DET
cana-4116	486	16	r	r	NOUN
cana-4116	486	17	-	-	PUNCT
cana-4116	486	18	norm	norm	NOUN
cana-4116	486	19	information	information	NOUN
cana-4116	486	20	measure	measure	NOUN
cana-4116	486	21	,	,	PUNCT
cana-4116	486	22	”	"	PUNCT
cana-4116	486	23	information	information	NOUN
cana-4116	486	24	and	and	CCONJ
cana-4116	486	25	control	control	NOUN
cana-4116	486	26	,	,	PUNCT
cana-4116	486	27	vol	vol	NOUN
cana-4116	486	28	.	.	PROPN
cana-4116	487	1	45	45	NUM
cana-4116	487	2	,	,	PUNCT
cana-4116	487	3	no	no	INTJ
cana-4116	487	4	.	.	NOUN
cana-4116	487	5	2	2	NUM
cana-4116	487	6	,	,	PUNCT
cana-4116	487	7	pp	pp	ADJ
cana-4116	487	8	.	.	PUNCT
cana-4116	488	1	136–155	136–155	NUM
cana-4116	488	2	,	,	PUNCT
cana-4116	488	3	1980	1980	NUM
cana-4116	488	4	.	.	PUNCT
cana-4116	489	1	[	[	X
cana-4116	489	2	7	7	X
cana-4116	489	3	]	]	X
cana-4116	489	4	d.	d.	PROPN
cana-4116	489	5	bhandari	bhandari	PROPN
cana-4116	489	6	and	and	CCONJ
cana-4116	489	7	n.	n.	PROPN
cana-4116	489	8	r.	r.	PROPN
cana-4116	489	9	pal	pal	PROPN
cana-4116	489	10	,	,	PUNCT
cana-4116	489	11	“	"	PUNCT
cana-4116	489	12	some	some	DET
cana-4116	489	13	new	new	ADJ
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cana-4116	489	15	measures	measure	NOUN
cana-4116	489	16	for	for	ADP
cana-4116	489	17	fuzzy	fuzzy	ADJ
cana-4116	489	18	sets	set	NOUN
cana-4116	489	19	,	,	PUNCT
cana-4116	489	20	”	"	PUNCT
cana-4116	489	21	information	information	NOUN
cana-4116	489	22	sciences	science	NOUN
cana-4116	489	23	,	,	PUNCT
cana-4116	489	24	vol	vol	NOUN
cana-4116	489	25	.	.	PROPN
cana-4116	489	26	67	67	NUM
cana-4116	489	27	,	,	PUNCT
cana-4116	489	28	no	no	INTJ
cana-4116	489	29	.	.	NOUN
cana-4116	489	30	3	3	NUM
cana-4116	489	31	,	,	PUNCT
cana-4116	489	32	pp	pp	ADJ
cana-4116	489	33	.	.	PUNCT
cana-4116	490	1	209–228	209–228	NUM
cana-4116	490	2	,	,	PUNCT
cana-4116	490	3	1993	1993	NUM
cana-4116	490	4	.	.	PUNCT
cana-4116	491	1	[	[	X
cana-4116	491	2	8	8	NUM
cana-4116	491	3	]	]	PUNCT
cana-4116	491	4	m.	m.	NOUN
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cana-4116	491	7	z.	z.	PROPN
cana-4116	491	8	xu	xu	PROPN
cana-4116	491	9	,	,	PUNCT
cana-4116	491	10	“	"	PUNCT
cana-4116	491	11	hesitant	hesitant	ADJ
cana-4116	491	12	fuzzy	fuzzy	ADJ
cana-4116	491	13	information	information	NOUN
cana-4116	491	14	aggregation	aggregation	NOUN
cana-4116	491	15	in	in	ADP
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cana-4116	491	19	”	"	PUNCT
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cana-4116	491	22	of	of	ADP
cana-4116	491	23	approximate	approximate	ADJ
cana-4116	491	24	reasoning	reasoning	NOUN
cana-4116	491	25	,	,	PUNCT
cana-4116	491	26	vol	vol	NOUN
cana-4116	491	27	.	.	PROPN
cana-4116	492	1	52	52	NUM
cana-4116	492	2	,	,	PUNCT
cana-4116	492	3	no	no	INTJ
cana-4116	492	4	.	.	NOUN
cana-4116	492	5	3	3	NUM
cana-4116	492	6	,	,	PUNCT
cana-4116	492	7	pp	pp	ADJ
cana-4116	492	8	.	.	PUNCT
cana-4116	493	1	395–407	395–407	NUM
cana-4116	493	2	,	,	PUNCT
cana-4116	493	3	2011	2011	NUM
cana-4116	493	4	.	.	PUNCT
cana-4116	494	1	[	[	X
cana-4116	494	2	9	9	NUM
cana-4116	494	3	]	]	PUNCT
cana-4116	494	4	z.	z.	PROPN
cana-4116	494	5	xu	xu	PROPN
cana-4116	494	6	and	and	CCONJ
cana-4116	494	7	m.	m.	PROPN
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cana-4116	494	10	“	"	PUNCT
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cana-4116	494	12	and	and	CCONJ
cana-4116	494	13	similarity	similarity	NOUN
cana-4116	494	14	measures	measure	NOUN
cana-4116	494	15	for	for	ADP
cana-4116	494	16	hesitant	hesitant	ADJ
cana-4116	494	17	fuzzy	fuzzy	ADJ
cana-4116	494	18	sets	set	NOUN
cana-4116	494	19	,	,	PUNCT
cana-4116	494	20	”	"	PUNCT
cana-4116	494	21	information	information	NOUN
cana-4116	494	22	sciences	science	NOUN
cana-4116	494	23	,	,	PUNCT
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cana-4116	494	25	.	.	PROPN
cana-4116	495	1	181	181	NUM
cana-4116	495	2	,	,	PUNCT
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cana-4116	495	4	.	.	NOUN
cana-4116	495	5	11	11	NUM
cana-4116	495	6	,	,	PUNCT
cana-4116	495	7	pp	pp	ADJ
cana-4116	495	8	.	.	PUNCT
cana-4116	496	1	2128–2138	2128–2138	NUM
cana-4116	496	2	,	,	PUNCT
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cana-4116	496	4	.	.	PUNCT
cana-4116	497	1	[	[	X
cana-4116	497	2	10	10	NUM
cana-4116	497	3	]	]	X
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cana-4116	497	5	torra	torra	PROPN
cana-4116	497	6	,	,	PUNCT
cana-4116	497	7	“	"	PUNCT
cana-4116	497	8	hesitant	hesitant	ADJ
cana-4116	497	9	fuzzy	fuzzy	ADJ
cana-4116	497	10	sets	set	NOUN
cana-4116	497	11	,	,	PUNCT
cana-4116	497	12	”	"	PUNCT
cana-4116	497	13	international	international	ADJ
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cana-4116	497	18	,	,	PUNCT
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cana-4116	497	20	.	.	PROPN
cana-4116	498	1	25	25	NUM
cana-4116	498	2	,	,	PUNCT
cana-4116	498	3	no	no	INTJ
cana-4116	498	4	.	.	NOUN
cana-4116	498	5	6	6	NUM
cana-4116	498	6	,	,	PUNCT
cana-4116	498	7	pp	pp	ADJ
cana-4116	498	8	.	.	PUNCT
cana-4116	499	1	529–539	529–539	NUM
cana-4116	499	2	,	,	PUNCT
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cana-4116	499	4	.	.	PUNCT
cana-4116	500	1	[	[	X
cana-4116	500	2	11	11	NUM
cana-4116	500	3	]	]	PUNCT
cana-4116	500	4	z.	z.	PROPN
cana-4116	500	5	xu	xu	PROPN
cana-4116	500	6	and	and	CCONJ
cana-4116	500	7	m.	m.	PROPN
cana-4116	500	8	xia	xia	PROPN
cana-4116	500	9	,	,	PUNCT
cana-4116	500	10	“	"	PUNCT
cana-4116	500	11	hesitant	hesitant	ADJ
cana-4116	500	12	fuzzy	fuzzy	ADJ
cana-4116	500	13	entropy	entropy	NOUN
cana-4116	500	14	and	and	CCONJ
cana-4116	500	15	cross	cross	NOUN
cana-4116	500	16	-	-	NOUN
cana-4116	500	17	entropy	entropy	NOUN
cana-4116	500	18	and	and	CCONJ
cana-4116	500	19	their	their	PRON
cana-4116	500	20	use	use	NOUN
cana-4116	500	21	in	in	ADP
cana-4116	500	22	multiattribute	multiattribute	NOUN
cana-4116	500	23	decisionmaking	decisionmaking	NOUN
cana-4116	500	24	,	,	PUNCT
cana-4116	500	25	”	"	PUNCT
cana-4116	500	26	international	international	ADJ
cana-4116	500	27	journal	journal	NOUN
cana-4116	500	28	of	of	ADP
cana-4116	500	29	intelligent	intelligent	ADJ
cana-4116	500	30	systems	system	NOUN
cana-4116	500	31	,	,	PUNCT
cana-4116	500	32	vol	vol	NOUN
cana-4116	500	33	.	.	PROPN
cana-4116	500	34	27	27	NUM
cana-4116	500	35	,	,	PUNCT
cana-4116	500	36	no	no	INTJ
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cana-4116	500	39	,	,	PUNCT
cana-4116	500	40	pp	pp	ADJ
cana-4116	500	41	.	.	PUNCT
cana-4116	501	1	799–822	799–822	NUM
cana-4116	501	2	,	,	PUNCT
cana-4116	501	3	2012	2012	NUM
cana-4116	501	4	.	.	PUNCT
cana-4116	502	1	[	[	X
cana-4116	502	2	12	12	NUM
cana-4116	502	3	]	]	PUNCT
cana-4116	502	4	z.	z.	PROPN
cana-4116	502	5	xu	xu	PROPN
cana-4116	502	6	and	and	CCONJ
cana-4116	502	7	x.	x.	NOUN
cana-4116	502	8	zhang	zhang	PROPN
cana-4116	502	9	,	,	PUNCT
cana-4116	502	10	“	"	PUNCT
cana-4116	502	11	hesitant	hesitant	ADJ
cana-4116	502	12	fuzzy	fuzzy	ADJ
cana-4116	502	13	multi	multi	ADJ
cana-4116	502	14	-	-	ADJ
cana-4116	502	15	attribute	attribute	NOUN
cana-4116	502	16	decision	decision	NOUN
cana-4116	502	17	making	making	NOUN
cana-4116	502	18	based	base	VERB
cana-4116	502	19	on	on	ADP
cana-4116	502	20	topsis	topsis	NOUN
cana-4116	502	21	with	with	ADP
cana-4116	502	22	incomplete	incomplete	ADJ
cana-4116	502	23	weight	weight	NOUN
cana-4116	502	24	information	information	NOUN
cana-4116	502	25	,	,	PUNCT
cana-4116	502	26	”	"	PUNCT
cana-4116	502	27	knowledge	knowledge	NOUN
cana-4116	502	28	-	-	PUNCT
cana-4116	502	29	based	base	VERB
cana-4116	502	30	systems	system	NOUN
cana-4116	502	31	,	,	PUNCT
cana-4116	502	32	vol	vol	NOUN
cana-4116	502	33	.	.	PROPN
cana-4116	503	1	52	52	NUM
cana-4116	503	2	,	,	PUNCT
cana-4116	503	3	pp	pp	ADJ
cana-4116	503	4	.	.	PUNCT
cana-4116	504	1	53–64	53–64	NUM
cana-4116	504	2	,	,	PUNCT
cana-4116	504	3	2013	2013	NUM
cana-4116	504	4	.	.	PUNCT
cana-4116	505	1	[	[	X
cana-4116	505	2	13	13	NUM
cana-4116	505	3	]	]	PUNCT
cana-4116	505	4	b.	b.	PROPN
cana-4116	505	5	zhu	zhu	PROPN
cana-4116	505	6	,	,	PUNCT
cana-4116	505	7	z.	z.	PROPN
cana-4116	505	8	xu	xu	PROPN
cana-4116	505	9	,	,	PUNCT
cana-4116	505	10	and	and	CCONJ
cana-4116	505	11	m.	m.	PROPN
cana-4116	505	12	xia	xia	PROPN
cana-4116	505	13	,	,	PUNCT
cana-4116	505	14	“	"	PUNCT
cana-4116	505	15	dual	dual	ADJ
cana-4116	505	16	hesitant	hesitant	ADJ
cana-4116	505	17	fuzzy	fuzzy	ADJ
cana-4116	505	18	sets	set	NOUN
cana-4116	505	19	,	,	PUNCT
cana-4116	505	20	”	"	PUNCT
cana-4116	505	21	journal	journal	NOUN
cana-4116	505	22	of	of	ADP
cana-4116	505	23	applied	apply	VERB
cana-4116	505	24	mathematics	mathematic	NOUN
cana-4116	505	25	,	,	PUNCT
cana-4116	505	26	vol	vol	NOUN
cana-4116	505	27	.	.	PROPN
cana-4116	505	28	2012	2012	NUM
cana-4116	505	29	,	,	PUNCT
cana-4116	505	30	pp	pp	ADP
cana-4116	505	31	.	.	PUNCT
cana-4116	506	1	1–13	1–13	NOUN
cana-4116	506	2	,	,	PUNCT
cana-4116	506	3	2012	2012	NUM
cana-4116	506	4	.	.	PUNCT
cana-4116	507	1	[	[	X
cana-4116	507	2	14	14	NUM
cana-4116	507	3	]	]	X
cana-4116	507	4	j.	j.	PROPN
cana-4116	507	5	ye	ye	PROPN
cana-4116	507	6	,	,	PUNCT
cana-4116	507	7	“	"	PUNCT
cana-4116	507	8	correlation	correlation	NOUN
cana-4116	507	9	coefficient	coefficient	NOUN
cana-4116	507	10	of	of	ADP
cana-4116	507	11	dual	dual	ADJ
cana-4116	507	12	hesitant	hesitant	ADJ
cana-4116	507	13	fuzzy	fuzzy	ADJ
cana-4116	507	14	sets	set	NOUN
cana-4116	507	15	and	and	CCONJ
cana-4116	507	16	its	its	PRON
cana-4116	507	17	application	application	NOUN
cana-4116	507	18	to	to	ADP
cana-4116	507	19	multiple	multiple	ADJ
cana-4116	507	20	attribute	attribute	NOUN
cana-4116	507	21	decision	decision	NOUN
cana-4116	507	22	making	making	NOUN
cana-4116	507	23	,	,	PUNCT
cana-4116	507	24	”	"	PUNCT
cana-4116	507	25	applied	apply	VERB
cana-4116	507	26	mathematical	mathematical	ADJ
cana-4116	507	27	modelling	modelling	NOUN
cana-4116	507	28	,	,	PUNCT
cana-4116	507	29	vol	vol	NOUN
cana-4116	507	30	.	.	PROPN
cana-4116	508	1	38	38	NUM
cana-4116	508	2	,	,	PUNCT
cana-4116	508	3	no	no	INTJ
cana-4116	508	4	.	.	NOUN
cana-4116	508	5	2	2	NUM
cana-4116	508	6	,	,	PUNCT
cana-4116	508	7	pp	pp	ADJ
cana-4116	508	8	.	.	PUNCT
cana-4116	509	1	659–666	659–666	NUM
cana-4116	509	2	,	,	PUNCT
cana-4116	509	3	2014	2014	NUM
cana-4116	509	4	.	.	PUNCT
cana-4116	510	1	communications	communication	NOUN
cana-4116	510	2	on	on	ADP
cana-4116	510	3	applied	apply	VERB
cana-4116	510	4	nonlinear	nonlinear	ADJ
cana-4116	510	5	analysis	analysis	NOUN
cana-4116	510	6	issn	issn	NOUN
cana-4116	510	7	:	:	PUNCT
cana-4116	510	8	1074	1074	NUM
cana-4116	510	9	-	-	PUNCT
cana-4116	510	10	133x	133x	NUM
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cana-4116	510	12	32	32	NUM
cana-4116	510	13	no	no	NOUN
cana-4116	510	14	.	.	PUNCT
cana-4116	511	1	9s	9s	NUM
cana-4116	511	2	(	(	PUNCT
cana-4116	511	3	2025	2025	NUM
cana-4116	511	4	)	)	PUNCT
cana-4116	511	5	1109	1109	NUM
cana-4116	511	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4116	512	1	[	[	X
cana-4116	512	2	15	15	NUM
cana-4116	512	3	]	]	PUNCT
cana-4116	512	4	p.	p.	NOUN
cana-4116	512	5	burillo	burillo	PROPN
cana-4116	512	6	and	and	CCONJ
cana-4116	512	7	h.	h.	PROPN
cana-4116	512	8	bustince	bustince	NOUN
cana-4116	512	9	,	,	PUNCT
cana-4116	512	10	“	"	PUNCT
cana-4116	512	11	entropy	entropy	VERB
cana-4116	512	12	on	on	ADP
cana-4116	512	13	intuitionistic	intuitionistic	ADJ
cana-4116	512	14	fuzzy	fuzzy	ADJ
cana-4116	512	15	sets	set	NOUN
cana-4116	512	16	and	and	CCONJ
cana-4116	512	17	on	on	ADP
cana-4116	512	18	interval	interval	NOUN
cana-4116	512	19	-	-	PUNCT
cana-4116	512	20	valued	value	VERB
cana-4116	512	21	fuzzy	fuzzy	ADJ
cana-4116	512	22	sets	set	NOUN
cana-4116	512	23	,	,	PUNCT
cana-4116	512	24	”	"	PUNCT
cana-4116	512	25	fuzzy	fuzzy	ADJ
cana-4116	512	26	sets	set	NOUN
cana-4116	512	27	and	and	CCONJ
cana-4116	512	28	systems	system	NOUN
cana-4116	512	29	,	,	PUNCT
cana-4116	512	30	vol	vol	NOUN
cana-4116	512	31	.	.	PROPN
cana-4116	513	1	78	78	NUM
cana-4116	513	2	,	,	PUNCT
cana-4116	513	3	no	no	INTJ
cana-4116	513	4	.	.	NOUN
cana-4116	513	5	3	3	NUM
cana-4116	513	6	,	,	PUNCT
cana-4116	513	7	pp	pp	ADJ
cana-4116	513	8	.	.	PUNCT
cana-4116	514	1	305–316	305–316	NUM
cana-4116	514	2	,	,	PUNCT
cana-4116	514	3	1996	1996	NUM
cana-4116	514	4	.	.	PUNCT
cana-4116	515	1	[	[	X
cana-4116	515	2	16	16	NUM
cana-4116	515	3	]	]	X
cana-4116	515	4	j.	j.	PROPN
cana-4116	515	5	mao	mao	PROPN
cana-4116	515	6	,	,	PUNCT
cana-4116	515	7	d.	d.	PROPN
cana-4116	515	8	yao	yao	PROPN
cana-4116	515	9	,	,	PUNCT
cana-4116	515	10	and	and	CCONJ
cana-4116	515	11	c.	c.	PROPN
cana-4116	515	12	wang	wang	PROPN
cana-4116	515	13	,	,	PUNCT
cana-4116	515	14	“	"	PUNCT
cana-4116	515	15	a	a	DET
cana-4116	515	16	novel	novel	ADJ
cana-4116	515	17	cross	cross	NOUN
cana-4116	515	18	-	-	NOUN
cana-4116	515	19	entropy	entropy	ADJ
cana-4116	515	20	and	and	CCONJ
cana-4116	515	21	entropy	entropy	NOUN
cana-4116	515	22	measures	measure	NOUN
cana-4116	515	23	of	of	ADP
cana-4116	515	24	ifss	ifss	NOUN
cana-4116	515	25	and	and	CCONJ
cana-4116	515	26	their	their	PRON
cana-4116	515	27	applications	application	NOUN
cana-4116	515	28	,	,	PUNCT
cana-4116	515	29	”	"	PUNCT
cana-4116	515	30	knowledge	knowledge	NOUN
cana-4116	515	31	-	-	PUNCT
cana-4116	515	32	based	base	VERB
cana-4116	515	33	systems	system	NOUN
cana-4116	515	34	,	,	PUNCT
cana-4116	515	35	vol	vol	NOUN
cana-4116	515	36	.	.	PROPN
cana-4116	515	37	48	48	NUM
cana-4116	515	38	,	,	PUNCT
cana-4116	515	39	pp	pp	ADJ
cana-4116	515	40	.	.	PUNCT
cana-4116	515	41	37–45	37–45	NUM
cana-4116	515	42	,	,	PUNCT
cana-4116	515	43	2013	2013	NUM
cana-4116	515	44	.	.	PUNCT
cana-4116	516	1	[	[	X
cana-4116	516	2	17	17	NUM
cana-4116	516	3	]	]	X
cana-4116	516	4	n.	n.	PROPN
cana-4116	516	5	zhao	zhao	PROPN
cana-4116	516	6	and	and	CCONJ
cana-4116	516	7	z.	z.	PROPN
cana-4116	516	8	xu	xu	PROPN
cana-4116	516	9	,	,	PUNCT
cana-4116	516	10	“	"	PUNCT
cana-4116	516	11	entropy	entropy	VERB
cana-4116	516	12	measures	measure	NOUN
cana-4116	516	13	for	for	ADP
cana-4116	516	14	dual	dual	ADJ
cana-4116	516	15	hesitant	hesitant	ADJ
cana-4116	516	16	fuzzy	fuzzy	ADJ
cana-4116	516	17	information	information	NOUN
cana-4116	516	18	,	,	PUNCT
cana-4116	516	19	”	"	PUNCT
cana-4116	516	20	in	in	ADP
cana-4116	516	21	2015	2015	NUM
cana-4116	516	22	fifth	fifth	ADJ
cana-4116	516	23	international	international	ADJ
cana-4116	516	24	conference	conference	NOUN
cana-4116	516	25	on	on	ADP
cana-4116	516	26	communication	communication	NOUN
cana-4116	516	27	systems	system	NOUN
cana-4116	516	28	and	and	CCONJ
cana-4116	516	29	network	network	NOUN
cana-4116	516	30	technologies	technology	NOUN
cana-4116	516	31	,	,	PUNCT
cana-4116	516	32	pp	pp	X
cana-4116	516	33	.	.	PUNCT
cana-4116	517	1	1152–1156	1152–1156	NUM
cana-4116	517	2	,	,	PUNCT
cana-4116	517	3	ieee	ieee	NOUN
cana-4116	517	4	,	,	PUNCT
cana-4116	517	5	2015	2015	NUM
cana-4116	517	6	.	.	PUNCT
cana-4116	518	1	[	[	X
cana-4116	518	2	18	18	NUM
cana-4116	518	3	]	]	PUNCT
cana-4116	518	4	z.	z.	PROPN
cana-4116	518	5	su	su	PROPN
cana-4116	518	6	,	,	PUNCT
cana-4116	518	7	z.	z.	PROPN
cana-4116	518	8	xu	xu	PROPN
cana-4116	518	9	,	,	PUNCT
cana-4116	518	10	h.	h.	PROPN
cana-4116	518	11	liu	liu	PROPN
cana-4116	518	12	,	,	PUNCT
cana-4116	518	13	and	and	CCONJ
cana-4116	518	14	s.	s.	PROPN
cana-4116	518	15	liu	liu	PROPN
cana-4116	518	16	,	,	PUNCT
cana-4116	518	17	“	"	PUNCT
cana-4116	518	18	distance	distance	NOUN
cana-4116	518	19	and	and	CCONJ
cana-4116	518	20	similarity	similarity	NOUN
cana-4116	518	21	measures	measure	NOUN
cana-4116	518	22	for	for	ADP
cana-4116	518	23	dual	dual	ADJ
cana-4116	518	24	hesitant	hesitant	ADJ
cana-4116	518	25	fuzzy	fuzzy	ADJ
cana-4116	518	26	sets	set	NOUN
cana-4116	518	27	and	and	CCONJ
cana-4116	518	28	their	their	PRON
cana-4116	518	29	applications	application	NOUN
cana-4116	518	30	in	in	ADP
cana-4116	518	31	pattern	pattern	NOUN
cana-4116	518	32	recognition	recognition	NOUN
cana-4116	518	33	,	,	PUNCT
cana-4116	518	34	”	"	PUNCT
cana-4116	518	35	journal	journal	NOUN
cana-4116	518	36	of	of	ADP
cana-4116	518	37	intelligent	intelligent	ADJ
cana-4116	518	38	&	&	CCONJ
cana-4116	518	39	fuzzy	fuzzy	ADJ
cana-4116	518	40	systems	system	NOUN
cana-4116	518	41	,	,	PUNCT
cana-4116	518	42	vol	vol	NOUN
cana-4116	518	43	.	.	PROPN
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cana-4116	518	45	,	,	PUNCT
cana-4116	518	46	no	no	INTJ
cana-4116	518	47	.	.	NOUN
cana-4116	518	48	2	2	NUM
cana-4116	518	49	,	,	PUNCT
cana-4116	518	50	pp	pp	ADJ
cana-4116	518	51	.	.	PUNCT
cana-4116	519	1	731–745	731–745	NUM
cana-4116	519	2	,	,	PUNCT
cana-4116	519	3	2015	2015	NUM
cana-4116	519	4	.	.	PUNCT
cana-4116	520	1	[	[	X
cana-4116	520	2	19	19	NUM
cana-4116	520	3	]	]	X
cana-4116	520	4	j.	j.	PROPN
cana-4116	520	5	ye	ye	PROPN
cana-4116	520	6	,	,	PUNCT
cana-4116	520	7	“	"	PUNCT
cana-4116	520	8	cross	cross	NOUN
cana-4116	520	9	-	-	NOUN
cana-4116	520	10	entropy	entropy	NOUN
cana-4116	520	11	of	of	ADP
cana-4116	520	12	dual	dual	ADJ
cana-4116	520	13	hesitant	hesitant	ADJ
cana-4116	520	14	fuzzy	fuzzy	ADJ
cana-4116	520	15	sets	set	NOUN
cana-4116	520	16	for	for	ADP
cana-4116	520	17	multiple	multiple	ADJ
cana-4116	520	18	attribute	attribute	NOUN
cana-4116	520	19	decision	decision	NOUN
cana-4116	520	20	-	-	PUNCT
cana-4116	520	21	making	making	NOUN
cana-4116	520	22	,	,	PUNCT
cana-4116	520	23	”	"	PUNCT
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cana-4116	520	25	journal	journal	NOUN
cana-4116	520	26	of	of	ADP
cana-4116	520	27	decision	decision	NOUN
cana-4116	520	28	support	support	NOUN
cana-4116	520	29	system	system	NOUN
cana-4116	520	30	technology	technology	NOUN
cana-4116	520	31	(	(	PUNCT
cana-4116	520	32	ijdsst	ijdsst	NOUN
cana-4116	520	33	)	)	PUNCT
cana-4116	520	34	,	,	PUNCT
cana-4116	520	35	vol	vol	NOUN
cana-4116	520	36	.	.	PROPN
cana-4116	520	37	8	8	NUM
cana-4116	520	38	,	,	PUNCT
cana-4116	520	39	no	no	INTJ
cana-4116	520	40	.	.	NOUN
cana-4116	520	41	3	3	NUM
cana-4116	520	42	,	,	PUNCT
cana-4116	520	43	pp	pp	ADJ
cana-4116	520	44	.	.	PUNCT
cana-4116	521	1	20–30	20–30	NUM
cana-4116	521	2	,	,	PUNCT
cana-4116	521	3	2016	2016	NUM
cana-4116	521	4	.	.	PUNCT
cana-4116	522	1	[	[	X
cana-4116	522	2	20	20	NUM
cana-4116	522	3	]	]	PUNCT
cana-4116	522	4	r.	r.	PROPN
cana-4116	522	5	wang	wang	PROPN
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cana-4116	522	10	t.	t.	PROPN
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cana-4116	522	12	,	,	PUNCT
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cana-4116	522	14	q.	q.	PROPN
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cana-4116	522	17	“	"	PUNCT
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cana-4116	522	20	measures	measure	NOUN
cana-4116	522	21	for	for	ADP
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cana-4116	522	23	hesitant	hesitant	ADJ
cana-4116	522	24	fuzzy	fuzzy	ADJ
cana-4116	522	25	sets	set	NOUN
cana-4116	522	26	and	and	CCONJ
cana-4116	522	27	their	their	PRON
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cana-4116	522	29	to	to	ADP
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cana-4116	522	31	attribute	attribute	NOUN
cana-4116	522	32	decision	decision	NOUN
cana-4116	522	33	making	making	NOUN
cana-4116	522	34	,	,	PUNCT
cana-4116	522	35	”	"	PUNCT
cana-4116	522	36	symmetry	symmetry	NOUN
cana-4116	522	37	,	,	PUNCT
cana-4116	522	38	vol	vol	NOUN
cana-4116	522	39	.	.	PROPN
cana-4116	522	40	12	12	NUM
cana-4116	522	41	,	,	PUNCT
cana-4116	522	42	no	no	INTJ
cana-4116	522	43	.	.	NOUN
cana-4116	522	44	2	2	NUM
cana-4116	522	45	,	,	PUNCT
cana-4116	522	46	p.	p.	NOUN
cana-4116	522	47	191	191	NUM
cana-4116	522	48	,	,	PUNCT
cana-4116	522	49	2020	2020	NUM
cana-4116	522	50	.	.	PUNCT
cana-4116	523	1	[	[	X
cana-4116	523	2	21	21	NUM
cana-4116	523	3	]	]	X
cana-4116	523	4	h.	h.	PROPN
cana-4116	523	5	zhang	zhang	PROPN
cana-4116	523	6	,	,	PUNCT
cana-4116	523	7	“	"	PUNCT
cana-4116	523	8	distance	distance	NOUN
cana-4116	523	9	and	and	CCONJ
cana-4116	523	10	entropy	entropy	NOUN
cana-4116	523	11	measures	measure	NOUN
cana-4116	523	12	for	for	ADP
cana-4116	523	13	dual	dual	ADJ
cana-4116	523	14	hesitant	hesitant	ADJ
cana-4116	523	15	fuzzy	fuzzy	ADJ
cana-4116	523	16	sets	set	NOUN
cana-4116	523	17	,	,	PUNCT
cana-4116	523	18	”	"	PUNCT
cana-4116	523	19	computational	computational	ADJ
cana-4116	523	20	and	and	CCONJ
cana-4116	523	21	applied	applied	ADJ
cana-4116	523	22	mathematics	mathematic	NOUN
cana-4116	523	23	,	,	PUNCT
cana-4116	523	24	vol	vol	NOUN
cana-4116	523	25	.	.	PROPN
cana-4116	523	26	39	39	NUM
cana-4116	523	27	,	,	PUNCT
cana-4116	523	28	pp	pp	PROPN
cana-4116	523	29	.	.	PUNCT
cana-4116	524	1	1–16	1–16	NOUN
cana-4116	524	2	,	,	PUNCT
cana-4116	524	3	2020	2020	NUM
cana-4116	524	4	.	.	PUNCT
cana-4116	525	1	[	[	X
cana-4116	525	2	22	22	NUM
cana-4116	525	3	]	]	X
cana-4116	525	4	e.	e.	PROPN
cana-4116	525	5	szmidt	szmidt	PROPN
cana-4116	525	6	,	,	PUNCT
cana-4116	525	7	j.	j.	PROPN
cana-4116	525	8	kacprzyk	kacprzyk	PROPN
cana-4116	525	9	,	,	PUNCT
cana-4116	525	10	and	and	CCONJ
cana-4116	525	11	p.	p.	NOUN
cana-4116	525	12	bujnowski	bujnowski	NOUN
cana-4116	525	13	,	,	PUNCT
cana-4116	525	14	“	"	PUNCT
cana-4116	525	15	how	how	SCONJ
cana-4116	525	16	to	to	PART
cana-4116	525	17	measure	measure	VERB
cana-4116	525	18	the	the	DET
cana-4116	525	19	amount	amount	NOUN
cana-4116	525	20	of	of	ADP
cana-4116	525	21	knowledge	knowledge	NOUN
cana-4116	525	22	conveyed	convey	VERB
cana-4116	525	23	by	by	ADP
cana-4116	525	24	atanassov	atanassov	PROPN
cana-4116	525	25	’s	’s	PART
cana-4116	525	26	intuitionistic	intuitionistic	ADJ
cana-4116	525	27	fuzzy	fuzzy	ADJ
cana-4116	525	28	sets	set	NOUN
cana-4116	525	29	,	,	PUNCT
cana-4116	525	30	”	"	PUNCT
cana-4116	525	31	information	information	NOUN
cana-4116	525	32	sciences	science	NOUN
cana-4116	525	33	,	,	PUNCT
cana-4116	525	34	vol	vol	NOUN
cana-4116	525	35	.	.	PROPN
cana-4116	525	36	257	257	NUM
cana-4116	525	37	,	,	PUNCT
cana-4116	525	38	pp	pp	ADJ
cana-4116	525	39	.	.	PUNCT
cana-4116	526	1	276–285	276–285	NUM
cana-4116	526	2	,	,	PUNCT
cana-4116	526	3	2014	2014	NUM
cana-4116	526	4	.	.	PUNCT
cana-4116	527	1	[	[	X
cana-4116	527	2	23	23	NUM
cana-4116	527	3	]	]	PUNCT
cana-4116	527	4	h.	h.	PROPN
cana-4116	527	5	nguyen	nguyen	PROPN
cana-4116	527	6	,	,	PUNCT
cana-4116	527	7	“	"	PUNCT
cana-4116	527	8	a	a	DET
cana-4116	527	9	new	new	ADJ
cana-4116	527	10	knowledge	knowledge	NOUN
cana-4116	527	11	-	-	PUNCT
cana-4116	527	12	based	base	VERB
cana-4116	527	13	measure	measure	NOUN
cana-4116	527	14	for	for	ADP
cana-4116	527	15	intuitionistic	intuitionistic	ADJ
cana-4116	527	16	fuzzy	fuzzy	ADJ
cana-4116	527	17	sets	set	NOUN
cana-4116	527	18	and	and	CCONJ
cana-4116	527	19	its	its	PRON
cana-4116	527	20	application	application	NOUN
cana-4116	527	21	in	in	ADP
cana-4116	527	22	multiple	multiple	ADJ
cana-4116	527	23	attribute	attribute	NOUN
cana-4116	527	24	group	group	NOUN
cana-4116	527	25	decision	decision	NOUN
cana-4116	527	26	making	making	NOUN
cana-4116	527	27	,	,	PUNCT
cana-4116	527	28	”	"	PUNCT
cana-4116	527	29	expert	expert	NOUN
cana-4116	527	30	systems	system	NOUN
cana-4116	527	31	with	with	ADP
cana-4116	527	32	applications	application	NOUN
cana-4116	527	33	,	,	PUNCT
cana-4116	527	34	vol	vol	NOUN
cana-4116	527	35	.	.	PROPN
cana-4116	528	1	42	42	NUM
cana-4116	528	2	,	,	PUNCT
cana-4116	528	3	no	no	INTJ
cana-4116	528	4	.	.	NOUN
cana-4116	528	5	22	22	NUM
cana-4116	528	6	,	,	PUNCT
cana-4116	528	7	pp	pp	ADJ
cana-4116	528	8	.	.	PUNCT
cana-4116	529	1	8766–8774	8766–8774	NUM
cana-4116	529	2	,	,	PUNCT
cana-4116	529	3	2015	2015	NUM
cana-4116	529	4	.	.	PUNCT
cana-4116	530	1	[	[	X
cana-4116	530	2	24	24	NUM
cana-4116	530	3	]	]	X
cana-4116	530	4	r.	r.	PROPN
cana-4116	530	5	joshi	joshi	PROPN
cana-4116	530	6	,	,	PUNCT
cana-4116	530	7	“	"	PUNCT
cana-4116	530	8	multi	multi	ADJ
cana-4116	530	9	-	-	ADJ
cana-4116	530	10	criteria	criterion	NOUN
cana-4116	530	11	decision	decision	NOUN
cana-4116	530	12	making	making	NOUN
cana-4116	530	13	based	base	VERB
cana-4116	530	14	on	on	ADP
cana-4116	530	15	novel	novel	ADJ
cana-4116	530	16	fuzzy	fuzzy	ADJ
cana-4116	530	17	knowledge	knowledge	NOUN
cana-4116	530	18	measures	measure	NOUN
cana-4116	530	19	,	,	PUNCT
cana-4116	530	20	”	"	PUNCT
cana-4116	530	21	granular	granular	ADJ
cana-4116	530	22	computing	computing	NOUN
cana-4116	530	23	,	,	PUNCT
cana-4116	530	24	vol	vol	NOUN
cana-4116	530	25	.	.	PROPN
cana-4116	530	26	8	8	NUM
cana-4116	530	27	,	,	PUNCT
cana-4116	530	28	no	no	INTJ
cana-4116	530	29	.	.	NOUN
cana-4116	530	30	2	2	NUM
cana-4116	530	31	,	,	PUNCT
cana-4116	530	32	pp	pp	ADJ
cana-4116	530	33	.	.	PUNCT
cana-4116	531	1	253–270	253–270	NUM
cana-4116	531	2	,	,	PUNCT
cana-4116	531	3	2023	2023	NUM
cana-4116	531	4	.	.	PUNCT
cana-4116	532	1	[	[	X
cana-4116	532	2	25	25	NUM
cana-4116	532	3	]	]	X
cana-4116	532	4	g.	g.	PROPN
cana-4116	532	5	ram	ram	PROPN
cana-4116	532	6	,	,	PUNCT
cana-4116	532	7	s.	s.	PROPN
cana-4116	532	8	kumar	kumar	PROPN
cana-4116	532	9	,	,	PUNCT
cana-4116	532	10	et	et	PROPN
cana-4116	532	11	al	al	PROPN
cana-4116	532	12	.	.	PROPN
cana-4116	532	13	,	,	PUNCT
cana-4116	532	14	“	"	PUNCT
cana-4116	532	15	information	information	NOUN
cana-4116	532	16	measure	measure	NOUN
cana-4116	532	17	for	for	ADP
cana-4116	532	18	hesitant	hesitant	ADJ
cana-4116	532	19	fuzzy	fuzzy	ADJ
cana-4116	532	20	sets	set	NOUN
cana-4116	532	21	,	,	PUNCT
cana-4116	532	22	”	"	PUNCT
cana-4116	532	23	in	in	ADP
cana-4116	532	24	2023	2023	NUM
cana-4116	532	25	first	first	ADJ
cana-4116	532	26	international	international	ADJ
cana-4116	532	27	conference	conference	NOUN
cana-4116	532	28	on	on	ADP
cana-4116	532	29	advances	advance	NOUN
cana-4116	532	30	in	in	ADP
cana-4116	532	31	electrical	electrical	ADJ
cana-4116	532	32	,	,	PUNCT
cana-4116	532	33	electronics	electronic	NOUN
cana-4116	532	34	and	and	CCONJ
cana-4116	532	35	computational	computational	ADJ
cana-4116	532	36	intelligence	intelligence	NOUN
cana-4116	532	37	(	(	PUNCT
cana-4116	532	38	icaeeci	icaeeci	NOUN
cana-4116	532	39	)	)	PUNCT
cana-4116	532	40	,	,	PUNCT
cana-4116	532	41	pp	pp	ADP
cana-4116	532	42	.	.	PUNCT
cana-4116	533	1	1–6	1–6	NUM
cana-4116	533	2	,	,	PUNCT
cana-4116	533	3	ieee	ieee	NOUN
cana-4116	533	4	,	,	PUNCT
cana-4116	533	5	2023	2023	NUM
cana-4116	533	6	.	.	PUNCT
cana-4116	534	1	[	[	X
cana-4116	534	2	26	26	NUM
cana-4116	534	3	]	]	PUNCT
cana-4116	534	4	a.	a.	NOUN
cana-4116	534	5	singh	singh	PROPN
cana-4116	534	6	and	and	CCONJ
cana-4116	534	7	s.	s.	PROPN
cana-4116	534	8	kumar	kumar	PROPN
cana-4116	534	9	,	,	PUNCT
cana-4116	534	10	“	"	PUNCT
cana-4116	534	11	intuitionistic	intuitionistic	ADJ
cana-4116	534	12	fuzzy	fuzzy	ADJ
cana-4116	534	13	entropy	entropy	NOUN
cana-4116	534	14	-	-	PUNCT
cana-4116	534	15	based	base	VERB
cana-4116	534	16	knowledge	knowledge	NOUN
cana-4116	534	17	and	and	CCONJ
cana-4116	534	18	accuracy	accuracy	NOUN
cana-4116	534	19	measure	measure	NOUN
cana-4116	534	20	with	with	ADP
cana-4116	534	21	its	its	PRON
cana-4116	534	22	applications	application	NOUN
cana-4116	534	23	in	in	ADP
cana-4116	534	24	extended	extend	VERB
cana-4116	534	25	vikor	vikor	ADJ
cana-4116	534	26	approach	approach	NOUN
cana-4116	534	27	for	for	ADP
cana-4116	534	28	solving	solve	VERB
cana-4116	534	29	multi	multi	ADJ
cana-4116	534	30	-	-	ADJ
cana-4116	534	31	criteria	criterion	NOUN
cana-4116	534	32	decision	decision	NOUN
cana-4116	534	33	-	-	PUNCT
cana-4116	534	34	making	making	NOUN
cana-4116	534	35	,	,	PUNCT
cana-4116	534	36	”	"	PUNCT
cana-4116	534	37	granular	granular	ADJ
cana-4116	534	38	computing	computing	NOUN
cana-4116	534	39	,	,	PUNCT
cana-4116	534	40	vol	vol	NOUN
cana-4116	534	41	.	.	PROPN
cana-4116	534	42	8	8	NUM
cana-4116	534	43	,	,	PUNCT
cana-4116	534	44	no	no	INTJ
cana-4116	534	45	.	.	NOUN
cana-4116	534	46	6	6	NUM
cana-4116	534	47	,	,	PUNCT
cana-4116	534	48	pp	pp	ADJ
cana-4116	534	49	.	.	PUNCT
cana-4116	534	50	1609–1643	1609–1643	NUM
cana-4116	534	51	,	,	PUNCT
cana-4116	534	52	2023	2023	NUM
cana-4116	534	53	.	.	PUNCT
cana-4116	535	1	[	[	X
cana-4116	535	2	27	27	NUM
cana-4116	535	3	]	]	X
cana-4116	535	4	s.	s.	PROPN
cana-4116	535	5	singh	singh	PROPN
cana-4116	535	6	,	,	PUNCT
cana-4116	535	7	“	"	PUNCT
cana-4116	535	8	knowledge	knowledge	NOUN
cana-4116	535	9	and	and	CCONJ
cana-4116	535	10	accuracy	accuracy	NOUN
cana-4116	535	11	measure	measure	NOUN
cana-4116	535	12	based	base	VERB
cana-4116	535	13	on	on	ADP
cana-4116	535	14	dual	dual	ADJ
cana-4116	535	15	-	-	PUNCT
cana-4116	535	16	hesitant	hesitant	ADJ
cana-4116	535	17	fuzzy	fuzzy	ADJ
cana-4116	535	18	sets	set	NOUN
cana-4116	535	19	with	with	ADP
cana-4116	535	20	application	application	NOUN
cana-4116	535	21	to	to	ADP
cana-4116	535	22	pattern	pattern	NOUN
cana-4116	535	23	recognition	recognition	NOUN
cana-4116	535	24	and	and	CCONJ
cana-4116	535	25	site	site	NOUN
cana-4116	535	26	selection	selection	NOUN
cana-4116	535	27	for	for	ADP
cana-4116	535	28	solar	solar	ADJ
cana-4116	535	29	power	power	NOUN
cana-4116	535	30	plan	plan	NOUN
cana-4116	535	31	t	t	PROPN
cana-4116	535	32	,	,	PUNCT
cana-4116	535	33	”	"	PUNCT
cana-4116	535	34	granular	granular	ADJ
cana-4116	535	35	computing	computing	NOUN
cana-4116	535	36	,	,	PUNCT
cana-4116	535	37	vol	vol	NOUN
cana-4116	535	38	.	.	PROPN
cana-4116	535	39	8	8	NUM
cana-4116	535	40	,	,	PUNCT
cana-4116	535	41	no	no	INTJ
cana-4116	535	42	.	.	NOUN
cana-4116	535	43	1	1	NUM
cana-4116	535	44	,	,	PUNCT
cana-4116	535	45	pp	pp	ADJ
cana-4116	535	46	.	.	PUNCT
cana-4116	536	1	157–170	157–170	NUM
cana-4116	536	2	,	,	PUNCT
cana-4116	536	3	2023	2023	NUM
cana-4116	536	4	.	.	PUNCT
cana-4116	537	1	[	[	X
cana-4116	537	2	28	28	NUM
cana-4116	537	3	]	]	X
cana-4116	537	4	j.	j.	PROPN
cana-4116	537	5	bajaj	bajaj	PROPN
cana-4116	537	6	and	and	CCONJ
cana-4116	537	7	s.	s.	PROPN
cana-4116	537	8	kumar	kumar	PROPN
cana-4116	537	9	,	,	PUNCT
cana-4116	537	10	“	"	PUNCT
cana-4116	537	11	pythagorean	pythagorean	VERB
cana-4116	537	12	fuzzy	fuzzy	ADJ
cana-4116	537	13	intuitive	intuitive	ADJ
cana-4116	537	14	distance	distance	NOUN
cana-4116	537	15	measure	measure	NOUN
cana-4116	537	16	with	with	ADP
cana-4116	537	17	its	its	PRON
cana-4116	537	18	applications	application	NOUN
cana-4116	537	19	in	in	ADP
cana-4116	537	20	madm	madm	NOUN
cana-4116	537	21	issues	issue	NOUN
cana-4116	537	22	,	,	PUNCT
cana-4116	537	23	”	"	PUNCT
cana-4116	537	24	evolutionary	evolutionary	ADJ
cana-4116	537	25	intelligence	intelligence	NOUN
cana-4116	537	26	,	,	PUNCT
cana-4116	537	27	pp	pp	ADP
cana-4116	537	28	.	.	PUNCT
cana-4116	538	1	1–16	1–16	NOUN
cana-4116	538	2	,	,	PUNCT
cana-4116	538	3	2024	2024	NUM
cana-4116	538	4	.	.	PUNCT
cana-4116	539	1	[	[	X
cana-4116	539	2	29	29	NUM
cana-4116	539	3	]	]	PUNCT
cana-4116	539	4	l.	l.	PROPN
cana-4116	539	5	wang	wang	PROPN
cana-4116	539	6	,	,	PUNCT
cana-4116	539	7	q.	q.	PROPN
cana-4116	539	8	wang	wang	PROPN
cana-4116	539	9	,	,	PUNCT
cana-4116	539	10	s.	s.	PROPN
cana-4116	539	11	xu	xu	PROPN
cana-4116	539	12	,	,	PUNCT
cana-4116	539	13	and	and	CCONJ
cana-4116	539	14	m.	m.	PROPN
cana-4116	539	15	ni	ni	PROPN
cana-4116	539	16	,	,	PUNCT
cana-4116	539	17	“	"	PUNCT
cana-4116	539	18	distance	distance	NOUN
cana-4116	539	19	and	and	CCONJ
cana-4116	539	20	similarity	similarity	NOUN
cana-4116	539	21	measures	measure	NOUN
cana-4116	539	22	of	of	ADP
cana-4116	539	23	dual	dual	ADJ
cana-4116	539	24	hesitant	hesitant	ADJ
cana-4116	539	25	fuzzy	fuzzy	ADJ
cana-4116	539	26	sets	set	NOUN
cana-4116	539	27	with	with	ADP
cana-4116	539	28	their	their	PRON
cana-4116	539	29	applications	application	NOUN
cana-4116	539	30	to	to	ADP
cana-4116	539	31	multiple	multiple	ADJ
cana-4116	539	32	attribute	attribute	NOUN
cana-4116	539	33	decision	decision	NOUN
cana-4116	539	34	making	making	NOUN
cana-4116	539	35	,	,	PUNCT
cana-4116	539	36	”	"	PUNCT
cana-4116	539	37	in	in	ADP
cana-4116	539	38	2014	2014	NUM
cana-4116	539	39	ieee	ieee	NOUN
cana-4116	539	40	international	international	ADJ
cana-4116	539	41	conference	conference	NOUN
cana-4116	539	42	on	on	ADP
cana-4116	539	43	progress	progress	NOUN
cana-4116	539	44	in	in	ADP
cana-4116	539	45	informatics	informatic	NOUN
cana-4116	539	46	and	and	CCONJ
cana-4116	539	47	computing	computing	NOUN
cana-4116	539	48	,	,	PUNCT
cana-4116	539	49	pp	pp	PROPN
cana-4116	539	50	.	.	PUNCT
cana-4116	539	51	88–92	88–92	NOUN
cana-4116	539	52	,	,	PUNCT
cana-4116	539	53	ieee	ieee	NOUN
cana-4116	539	54	,	,	PUNCT
cana-4116	539	55	2014	2014	NUM
cana-4116	539	56	.	.	PUNCT
cana-4116	540	1	[	[	X
cana-4116	540	2	30	30	NUM
cana-4116	540	3	]	]	PUNCT
cana-4116	540	4	t.-y	t.-y	NOUN
cana-4116	540	5	.	.	PUNCT
cana-4116	541	1	chen	chen	PROPN
cana-4116	541	2	and	and	CCONJ
cana-4116	541	3	c.-h	c.-h	PROPN
cana-4116	541	4	.	.	PUNCT
cana-4116	542	1	li	li	PROPN
cana-4116	542	2	,	,	PUNCT
cana-4116	542	3	“	"	PUNCT
cana-4116	542	4	determining	determine	VERB
cana-4116	542	5	objective	objective	ADJ
cana-4116	542	6	weights	weight	NOUN
cana-4116	542	7	with	with	ADP
cana-4116	542	8	intuitionistic	intuitionistic	ADJ
cana-4116	542	9	fuzzy	fuzzy	ADJ
cana-4116	542	10	entropy	entropy	NOUN
cana-4116	542	11	measures	measure	NOUN
cana-4116	542	12	:	:	PUNCT
cana-4116	542	13	a	a	DET
cana-4116	542	14	comparative	comparative	ADJ
cana-4116	542	15	analysis	analysis	NOUN
cana-4116	542	16	,	,	PUNCT
cana-4116	542	17	”	"	PUNCT
cana-4116	542	18	information	information	NOUN
cana-4116	542	19	sciences	science	NOUN
cana-4116	542	20	,	,	PUNCT
cana-4116	542	21	vol	vol	NOUN
cana-4116	542	22	.	.	PROPN
cana-4116	542	23	180	180	NUM
cana-4116	542	24	,	,	PUNCT
cana-4116	542	25	no	no	INTJ
cana-4116	542	26	.	.	NOUN
cana-4116	542	27	21	21	NUM
cana-4116	542	28	,	,	PUNCT
cana-4116	542	29	pp	pp	ADJ
cana-4116	542	30	.	.	PUNCT
cana-4116	542	31	4207–4222	4207–4222	NUM
cana-4116	542	32	,	,	PUNCT
cana-4116	542	33	2010	2010	NUM
cana-4116	542	34	.	.	PUNCT
cana-4116	543	1	[	[	X
cana-4116	543	2	31	31	NUM
cana-4116	543	3	]	]	PUNCT
cana-4116	543	4	p.	p.	NOUN
cana-4116	543	5	singh	singh	PROPN
cana-4116	543	6	,	,	PUNCT
cana-4116	543	7	“	"	PUNCT
cana-4116	543	8	distance	distance	NOUN
cana-4116	543	9	and	and	CCONJ
cana-4116	543	10	similarity	similarity	NOUN
cana-4116	543	11	measures	measure	NOUN
cana-4116	543	12	for	for	ADP
cana-4116	543	13	multiple	multiple	ADJ
cana-4116	543	14	-	-	PUNCT
cana-4116	543	15	attribute	attribute	NOUN
cana-4116	543	16	decision	decision	NOUN
cana-4116	543	17	making	make	VERB
cana-4116	543	18	with	with	ADP
cana-4116	543	19	dual	dual	ADJ
cana-4116	543	20	hesitant	hesitant	ADJ
cana-4116	543	21	fuzzy	fuzzy	ADJ
cana-4116	543	22	sets	set	NOUN
cana-4116	543	23	,	,	PUNCT
cana-4116	543	24	”	"	PUNCT
cana-4116	543	25	computational	computational	ADJ
cana-4116	543	26	and	and	CCONJ
cana-4116	543	27	applied	applied	ADJ
cana-4116	543	28	mathematics	mathematic	NOUN
cana-4116	543	29	,	,	PUNCT
cana-4116	543	30	vol	vol	NOUN
cana-4116	543	31	.	.	PROPN
cana-4116	544	1	36	36	NUM
cana-4116	544	2	,	,	PUNCT
cana-4116	544	3	pp	pp	ADJ
cana-4116	544	4	.	.	PUNCT
cana-4116	545	1	111–126	111–126	NUM
cana-4116	545	2	,	,	PUNCT
cana-4116	545	3	2017	2017	NUM
cana-4116	545	4	.	.	PUNCT