id	sid	tid	token	lemma	pos
cana-4545	1	1	communications	communication	NOUN
cana-4545	1	2	on	on	ADP
cana-4545	1	3	applied	apply	VERB
cana-4545	1	4	nonlinear	nonlinear	ADJ
cana-4545	1	5	analysis	analysis	NOUN
cana-4545	1	6	issn	issn	NOUN
cana-4545	1	7	:	:	PUNCT
cana-4545	1	8	1074	1074	NUM
cana-4545	1	9	-	-	PUNCT
cana-4545	1	10	133x	133x	NUM
cana-4545	1	11	vol	vol	NOUN
cana-4545	1	12	32	32	NUM
cana-4545	1	13	no	no	NOUN
cana-4545	1	14	.	.	PUNCT
cana-4545	2	1	9s	9s	NUM
cana-4545	2	2	(	(	PUNCT
cana-4545	2	3	2025	2025	NUM
cana-4545	2	4	)	)	PUNCT
cana-4545	2	5	2635	2635	NUM
cana-4545	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	2	7	application	application	NOUN
cana-4545	2	8	of	of	ADP
cana-4545	2	9	neutrosophic	neutrosophic	ADJ
cana-4545	2	10	sets	set	NOUN
cana-4545	2	11	in	in	ADP
cana-4545	2	12	multi	multi	ADJ
cana-4545	2	13	attribute	attribute	NOUN
cana-4545	2	14	decision	decision	NOUN
cana-4545	2	15	making	make	VERB
cana-4545	2	16	r.	r.	NOUN
cana-4545	2	17	ramesh1	ramesh1	PROPN
cana-4545	2	18	,	,	PUNCT
cana-4545	2	19	k.	k.	PROPN
cana-4545	2	20	rajupillai2	rajupillai2	PROPN
cana-4545	2	21	,	,	PUNCT
cana-4545	2	22	k.	k.	PROPN
cana-4545	2	23	kalaiselvi3	kalaiselvi3	PROPN
cana-4545	2	24	,	,	PUNCT
cana-4545	2	25	r.	r.	PROPN
cana-4545	2	26	nishanthi4	nishanthi4	PROPN
cana-4545	2	27	and	and	CCONJ
cana-4545	2	28	g.	g.	PROPN
cana-4545	2	29	deepa5	deepa5	PROPN
cana-4545	3	1	*	*	PUNCT
cana-4545	3	2	1,3,4department	1,3,4department	NUM
cana-4545	3	3	of	of	ADP
cana-4545	3	4	mathematics	mathematic	NOUN
cana-4545	3	5	,	,	PUNCT
cana-4545	3	6	dr	dr	PROPN
cana-4545	3	7	.	.	PROPN
cana-4545	3	8	mahalingam	mahalingam	PROPN
cana-4545	3	9	college	college	PROPN
cana-4545	3	10	of	of	ADP
cana-4545	3	11	engineering	engineering	NOUN
cana-4545	3	12	and	and	CCONJ
cana-4545	3	13	technology	technology	NOUN
cana-4545	3	14	,	,	PUNCT
cana-4545	3	15	india	india	PROPN
cana-4545	3	16	2department	2department	PROPN
cana-4545	3	17	of	of	ADP
cana-4545	3	18	mathematics	mathematic	NOUN
cana-4545	3	19	,	,	PUNCT
cana-4545	3	20	government	government	NOUN
cana-4545	3	21	college	college	NOUN
cana-4545	3	22	of	of	ADP
cana-4545	3	23	engineering	engineering	PROPN
cana-4545	3	24	,	,	PUNCT
cana-4545	3	25	thanjavur	thanjavur	PROPN
cana-4545	3	26	,	,	PUNCT
cana-4545	3	27	india	india	PROPN
cana-4545	3	28	5*department	5*department	PROPN
cana-4545	3	29	of	of	ADP
cana-4545	3	30	computer	computer	NOUN
cana-4545	3	31	science	science	NOUN
cana-4545	3	32	and	and	CCONJ
cana-4545	3	33	engineering	engineering	NOUN
cana-4545	3	34	,	,	PUNCT
cana-4545	3	35	dr	dr	PROPN
cana-4545	3	36	.	.	PROPN
cana-4545	3	37	mahalingam	mahalingam	PROPN
cana-4545	3	38	college	college	PROPN
cana-4545	3	39	of	of	ADP
cana-4545	3	40	engineering	engineering	NOUN
cana-4545	3	41	and	and	CCONJ
cana-4545	3	42	technology	technology	NOUN
cana-4545	3	43	,	,	PUNCT
cana-4545	3	44	india	india	PROPN
cana-4545	3	45	.	.	PUNCT
cana-4545	4	1	*	*	PUNCT
cana-4545	4	2	correspondence	correspondence	NOUN
cana-4545	4	3	:	:	PUNCT
cana-4545	4	4	deepaganesh2011@gmail.com	deepaganesh2011@gmail.com	X
cana-4545	4	5	article	article	PROPN
cana-4545	4	6	history	history	NOUN
cana-4545	4	7	:	:	PUNCT
cana-4545	4	8	received	receive	VERB
cana-4545	4	9	:	:	PUNCT
cana-4545	4	10	12	12	NUM
cana-4545	4	11	-	-	SYM
cana-4545	4	12	01	01	NUM
cana-4545	4	13	-	-	PUNCT
cana-4545	4	14	2025	2025	NUM
cana-4545	4	15	revised	revise	VERB
cana-4545	4	16	:	:	PUNCT
cana-4545	4	17	15	15	NUM
cana-4545	4	18	-	-	NUM
cana-4545	4	19	02	02	NUM
cana-4545	4	20	-	-	PUNCT
cana-4545	4	21	2025	2025	NUM
cana-4545	4	22	accepted	accept	VERB
cana-4545	4	23	:	:	PUNCT
cana-4545	4	24	01	01	NUM
cana-4545	4	25	-	-	SYM
cana-4545	4	26	03	03	NUM
cana-4545	4	27	-	-	PUNCT
cana-4545	4	28	2025	2025	NUM
cana-4545	4	29	abstract	abstract	NOUN
cana-4545	4	30	:	:	PUNCT
cana-4545	4	31	the	the	DET
cana-4545	4	32	selection	selection	NOUN
cana-4545	4	33	of	of	ADP
cana-4545	4	34	an	an	DET
cana-4545	4	35	optimal	optimal	ADJ
cana-4545	4	36	hospital	hospital	NOUN
cana-4545	4	37	for	for	ADP
cana-4545	4	38	healthcare	healthcare	NOUN
cana-4545	4	39	services	service	NOUN
cana-4545	4	40	is	be	AUX
cana-4545	4	41	a	a	DET
cana-4545	4	42	complex	complex	ADJ
cana-4545	4	43	decisionmaking	decisionmaking	ADJ
cana-4545	4	44	problem	problem	NOUN
cana-4545	4	45	due	due	ADP
cana-4545	4	46	to	to	ADP
cana-4545	4	47	the	the	DET
cana-4545	4	48	involvement	involvement	NOUN
cana-4545	4	49	of	of	ADP
cana-4545	4	50	multiple	multiple	ADJ
cana-4545	4	51	,	,	PUNCT
cana-4545	4	52	often	often	ADV
cana-4545	4	53	conflicting	conflict	VERB
cana-4545	4	54	,	,	PUNCT
cana-4545	4	55	criteria	criterion	NOUN
cana-4545	4	56	such	such	ADJ
cana-4545	4	57	as	as	ADP
cana-4545	4	58	quality	quality	NOUN
cana-4545	4	59	of	of	ADP
cana-4545	4	60	care	care	NOUN
cana-4545	4	61	,	,	PUNCT
cana-4545	4	62	infrastructure	infrastructure	NOUN
cana-4545	4	63	,	,	PUNCT
cana-4545	4	64	staff	staff	NOUN
cana-4545	4	65	expertise	expertise	NOUN
cana-4545	4	66	,	,	PUNCT
cana-4545	4	67	cost	cost	NOUN
cana-4545	4	68	,	,	PUNCT
cana-4545	4	69	and	and	CCONJ
cana-4545	4	70	patient	patient	ADJ
cana-4545	4	71	satisfaction	satisfaction	NOUN
cana-4545	4	72	.	.	PUNCT
cana-4545	5	1	this	this	DET
cana-4545	5	2	paper	paper	NOUN
cana-4545	5	3	presents	present	VERB
cana-4545	5	4	an	an	DET
cana-4545	5	5	innovative	innovative	ADJ
cana-4545	5	6	approach	approach	NOUN
cana-4545	5	7	for	for	ADP
cana-4545	5	8	hospital	hospital	NOUN
cana-4545	5	9	selection	selection	NOUN
cana-4545	5	10	using	use	VERB
cana-4545	5	11	a	a	DET
cana-4545	5	12	hybrid	hybrid	ADJ
cana-4545	5	13	decision	decision	NOUN
cana-4545	5	14	-	-	PUNCT
cana-4545	5	15	making	make	VERB
cana-4545	5	16	framework	framework	NOUN
cana-4545	5	17	combining	combine	VERB
cana-4545	5	18	neutrosophic	neutrosophic	ADJ
cana-4545	5	19	sets	set	NOUN
cana-4545	5	20	,	,	PUNCT
cana-4545	5	21	entropy	entropy	NOUN
cana-4545	5	22	weight	weight	NOUN
cana-4545	5	23	,	,	PUNCT
cana-4545	5	24	and	and	CCONJ
cana-4545	5	25	the	the	DET
cana-4545	5	26	multi	multi	ADJ
cana-4545	5	27	-	-	ADJ
cana-4545	5	28	attribute	attribute	NOUN
cana-4545	5	29	decision	decision	NOUN
cana-4545	5	30	-	-	PUNCT
cana-4545	5	31	making	making	NOUN
cana-4545	5	32	(	(	PUNCT
cana-4545	5	33	madm	madm	NOUN
cana-4545	5	34	)	)	PUNCT
cana-4545	5	35	method	method	NOUN
cana-4545	5	36	.	.	PUNCT
cana-4545	6	1	neutrosophic	neutrosophic	ADJ
cana-4545	6	2	sets	set	NOUN
cana-4545	6	3	are	be	AUX
cana-4545	6	4	employed	employ	VERB
cana-4545	6	5	to	to	PART
cana-4545	6	6	handle	handle	VERB
cana-4545	6	7	the	the	DET
cana-4545	6	8	inherent	inherent	ADJ
cana-4545	6	9	uncertainty	uncertainty	NOUN
cana-4545	6	10	and	and	CCONJ
cana-4545	6	11	indeterminacy	indeterminacy	NOUN
cana-4545	6	12	in	in	ADP
cana-4545	6	13	hospital	hospital	NOUN
cana-4545	6	14	evaluation	evaluation	NOUN
cana-4545	6	15	criteria	criterion	NOUN
cana-4545	6	16	,	,	PUNCT
cana-4545	6	17	allowing	allow	VERB
cana-4545	6	18	for	for	ADP
cana-4545	6	19	more	more	ADV
cana-4545	6	20	flexible	flexible	ADJ
cana-4545	6	21	and	and	CCONJ
cana-4545	6	22	accurate	accurate	ADJ
cana-4545	6	23	representation	representation	NOUN
cana-4545	6	24	of	of	ADP
cana-4545	6	25	data	datum	NOUN
cana-4545	6	26	that	that	PRON
cana-4545	6	27	may	may	AUX
cana-4545	6	28	not	not	PART
cana-4545	6	29	be	be	AUX
cana-4545	6	30	fully	fully	ADV
cana-4545	6	31	precise	precise	ADJ
cana-4545	6	32	or	or	CCONJ
cana-4545	6	33	certain	certain	ADJ
cana-4545	6	34	.	.	PUNCT
cana-4545	7	1	the	the	DET
cana-4545	7	2	entropy	entropy	PROPN
cana-4545	7	3	weight	weight	NOUN
cana-4545	7	4	method	method	NOUN
cana-4545	7	5	is	be	AUX
cana-4545	7	6	applied	apply	VERB
cana-4545	7	7	to	to	PART
cana-4545	7	8	objectively	objectively	ADV
cana-4545	7	9	determine	determine	VERB
cana-4545	7	10	the	the	DET
cana-4545	7	11	significance	significance	NOUN
cana-4545	7	12	of	of	ADP
cana-4545	7	13	each	each	DET
cana-4545	7	14	evaluation	evaluation	NOUN
cana-4545	7	15	criterion	criterion	NOUN
cana-4545	7	16	,	,	PUNCT
cana-4545	7	17	ensuring	ensure	VERB
cana-4545	7	18	that	that	SCONJ
cana-4545	7	19	the	the	DET
cana-4545	7	20	decision	decision	NOUN
cana-4545	7	21	process	process	NOUN
cana-4545	7	22	is	be	AUX
cana-4545	7	23	not	not	PART
cana-4545	7	24	biased	bias	VERB
cana-4545	7	25	by	by	ADP
cana-4545	7	26	subjective	subjective	ADJ
cana-4545	7	27	judgments	judgment	NOUN
cana-4545	7	28	.	.	PUNCT
cana-4545	8	1	finally	finally	ADV
cana-4545	8	2	,	,	PUNCT
cana-4545	8	3	the	the	DET
cana-4545	8	4	madm	madm	NOUN
cana-4545	8	5	technique	technique	NOUN
cana-4545	8	6	integrates	integrate	VERB
cana-4545	8	7	the	the	DET
cana-4545	8	8	weighted	weight	VERB
cana-4545	8	9	criteria	criterion	NOUN
cana-4545	8	10	into	into	ADP
cana-4545	8	11	a	a	DET
cana-4545	8	12	comprehensive	comprehensive	ADJ
cana-4545	8	13	decision	decision	NOUN
cana-4545	8	14	model	model	NOUN
cana-4545	8	15	to	to	PART
cana-4545	8	16	rank	rank	NOUN
cana-4545	8	17	hospitals	hospital	NOUN
cana-4545	8	18	based	base	VERB
cana-4545	8	19	on	on	ADP
cana-4545	8	20	their	their	PRON
cana-4545	8	21	overall	overall	ADJ
cana-4545	8	22	performance	performance	NOUN
cana-4545	8	23	.	.	PUNCT
cana-4545	9	1	the	the	DET
cana-4545	9	2	proposed	propose	VERB
cana-4545	9	3	model	model	NOUN
cana-4545	9	4	is	be	AUX
cana-4545	9	5	tested	test	VERB
cana-4545	9	6	with	with	ADP
cana-4545	9	7	a	a	DET
cana-4545	9	8	real	real	ADJ
cana-4545	9	9	-	-	PUNCT
cana-4545	9	10	world	world	NOUN
cana-4545	9	11	dataset	dataset	NOUN
cana-4545	9	12	of	of	ADP
cana-4545	9	13	hospitals	hospital	NOUN
cana-4545	9	14	,	,	PUNCT
cana-4545	9	15	demonstrating	demonstrate	VERB
cana-4545	9	16	its	its	PRON
cana-4545	9	17	effectiveness	effectiveness	NOUN
cana-4545	9	18	in	in	ADP
cana-4545	9	19	selecting	select	VERB
cana-4545	9	20	the	the	DET
cana-4545	9	21	most	most	ADV
cana-4545	9	22	suitable	suitable	ADJ
cana-4545	9	23	healthcare	healthcare	NOUN
cana-4545	9	24	facility	facility	NOUN
cana-4545	9	25	while	while	SCONJ
cana-4545	9	26	considering	consider	VERB
cana-4545	9	27	diverse	diverse	ADJ
cana-4545	9	28	factors	factor	NOUN
cana-4545	9	29	.	.	PUNCT
cana-4545	10	1	the	the	DET
cana-4545	10	2	results	result	NOUN
cana-4545	10	3	highlight	highlight	VERB
cana-4545	10	4	the	the	DET
cana-4545	10	5	potential	potential	NOUN
cana-4545	10	6	of	of	ADP
cana-4545	10	7	combining	combine	VERB
cana-4545	10	8	neutrosophic	neutrosophic	ADJ
cana-4545	10	9	sets	set	NOUN
cana-4545	10	10	with	with	ADP
cana-4545	10	11	advanced	advanced	ADJ
cana-4545	10	12	decision	decision	NOUN
cana-4545	10	13	-	-	PUNCT
cana-4545	10	14	making	make	VERB
cana-4545	10	15	techniques	technique	NOUN
cana-4545	10	16	for	for	ADP
cana-4545	10	17	improving	improve	VERB
cana-4545	10	18	decision	decision	NOUN
cana-4545	10	19	accuracy	accuracy	NOUN
cana-4545	10	20	and	and	CCONJ
cana-4545	10	21	reliability	reliability	NOUN
cana-4545	10	22	in	in	ADP
cana-4545	10	23	complex	complex	ADJ
cana-4545	10	24	healthcare	healthcare	NOUN
cana-4545	10	25	decisions	decision	NOUN
cana-4545	10	26	.	.	PUNCT
cana-4545	11	1	keywords	keyword	NOUN
cana-4545	11	2	:	:	PUNCT
cana-4545	11	3	neutrosophic	neutrosophic	ADJ
cana-4545	11	4	sets	set	NOUN
cana-4545	11	5	;	;	PUNCT
cana-4545	11	6	entropy	entropy	NOUN
cana-4545	11	7	;	;	PUNCT
cana-4545	11	8	madm	madm	NOUN
cana-4545	11	9	.	.	PUNCT
cana-4545	12	1	1	1	X
cana-4545	12	2	.	.	X
cana-4545	12	3	introduction	introduction	NOUN
cana-4545	12	4	atanassov	atanassov	NOUN
cana-4545	12	5	(	(	PUNCT
cana-4545	12	6	1986	1986	NUM
cana-4545	12	7	,	,	PUNCT
cana-4545	12	8	2000	2000	NUM
cana-4545	12	9	)	)	PUNCT
cana-4545	12	10	first	first	ADV
cana-4545	12	11	proposed	propose	VERB
cana-4545	12	12	the	the	DET
cana-4545	12	13	use	use	NOUN
cana-4545	12	14	of	of	ADP
cana-4545	12	15	intuitionistic	intuitionistic	ADJ
cana-4545	12	16	fuzzy	fuzzy	ADJ
cana-4545	12	17	sets	set	NOUN
cana-4545	12	18	as	as	ADP
cana-4545	12	19	a	a	DET
cana-4545	12	20	means	means	NOUN
cana-4545	12	21	of	of	ADP
cana-4545	12	22	representation	representation	NOUN
cana-4545	12	23	of	of	ADP
cana-4545	12	24	data	datum	NOUN
cana-4545	12	25	information	information	NOUN
cana-4545	12	26	that	that	PRON
cana-4545	12	27	makes	make	VERB
cana-4545	12	28	use	use	NOUN
cana-4545	12	29	of	of	ADP
cana-4545	12	30	ordered	order	VERB
cana-4545	12	31	pairs	pair	NOUN
cana-4545	12	32	,	,	PUNCT
cana-4545	12	33	i.e.	i.e.	X
cana-4545	12	34	,	,	PUNCT
cana-4545	12	35	2	2	NUM
cana-4545	12	36	-	-	PUNCT
cana-4545	12	37	tuples	tuple	NOUN
cana-4545	12	38	,	,	PUNCT
cana-4545	12	39	which	which	PRON
cana-4545	12	40	may	may	AUX
cana-4545	12	41	account	account	VERB
cana-4545	12	42	for	for	ADP
cana-4545	12	43	the	the	DET
cana-4545	12	44	membership	membership	NOUN
cana-4545	12	45	and	and	CCONJ
cana-4545	12	46	the	the	DET
cana-4545	12	47	non	non	ADJ
cana-4545	12	48	-	-	ADJ
cana-4545	12	49	membership	membership	ADJ
cana-4545	12	50	degrees	degree	NOUN
cana-4545	12	51	.	.	PUNCT
cana-4545	13	1	according	accord	VERB
cana-4545	13	2	to	to	ADP
cana-4545	13	3	atanassov	atanassov	PROPN
cana-4545	13	4	(	(	PUNCT
cana-4545	13	5	1989	1989	NUM
cana-4545	13	6	)	)	PUNCT
cana-4545	13	7	,	,	PUNCT
cana-4545	13	8	the	the	DET
cana-4545	13	9	sum	sum	NOUN
cana-4545	13	10	of	of	ADP
cana-4545	13	11	the	the	DET
cana-4545	13	12	membership	membership	NOUN
cana-4545	13	13	and	and	CCONJ
cana-4545	13	14	non	non	ADJ
cana-4545	13	15	-	-	ADJ
cana-4545	13	16	membership	membership	ADJ
cana-4545	13	17	degrees	degree	NOUN
cana-4545	13	18	of	of	ADP
cana-4545	13	19	each	each	DET
cana-4545	13	20	2	2	NUM
cana-4545	13	21	-	-	PUNCT
cana-4545	13	22	tuple	tuple	NOUN
cana-4545	13	23	in	in	ADP
cana-4545	13	24	an	an	DET
cana-4545	13	25	ifs	ifs	PROPN
cana-4545	13	26	must	must	AUX
cana-4545	13	27	be	be	AUX
cana-4545	13	28	less	less	ADJ
cana-4545	13	29	than	than	ADP
cana-4545	13	30	or	or	CCONJ
cana-4545	13	31	equal	equal	ADJ
cana-4545	13	32	to	to	ADP
cana-4545	13	33	1	1	NUM
cana-4545	13	34	.	.	PUNCT
cana-4545	14	1	although	although	SCONJ
cana-4545	14	2	fuzzy	fuzzy	ADJ
cana-4545	14	3	sets	set	NOUN
cana-4545	14	4	(	(	PUNCT
cana-4545	14	5	fss	fss	NOUN
cana-4545	14	6	)	)	PUNCT
cana-4545	14	7	,	,	PUNCT
cana-4545	14	8	first	first	ADV
cana-4545	14	9	proposed	propose	VERB
cana-4545	14	10	by	by	ADP
cana-4545	14	11	zadeh	zadeh	PROPN
cana-4545	14	12	in	in	ADP
cana-4545	14	13	1965	1965	NUM
cana-4545	14	14	,	,	PUNCT
cana-4545	14	15	have	have	AUX
cana-4545	14	16	shown	show	VERB
cana-4545	14	17	promise	promise	NOUN
cana-4545	14	18	in	in	ADP
cana-4545	14	19	various	various	ADJ
cana-4545	14	20	domains	domain	NOUN
cana-4545	14	21	,	,	PUNCT
cana-4545	14	22	accurately	accurately	ADV
cana-4545	14	23	evaluating	evaluate	VERB
cana-4545	14	24	their	their	PRON
cana-4545	14	25	membership	membership	NOUN
cana-4545	14	26	functions	function	NOUN
cana-4545	14	27	in	in	ADP
cana-4545	14	28	practice	practice	NOUN
cana-4545	14	29	can	can	AUX
cana-4545	14	30	be	be	AUX
cana-4545	14	31	difficult	difficult	ADJ
cana-4545	14	32	,	,	PUNCT
cana-4545	14	33	since	since	SCONJ
cana-4545	14	34	they	they	PRON
cana-4545	14	35	are	be	AUX
cana-4545	14	36	constrained	constrain	VERB
cana-4545	14	37	to	to	ADP
cana-4545	14	38	real	real	ADJ
cana-4545	14	39	values	value	NOUN
cana-4545	14	40	between	between	ADP
cana-4545	14	41	zero	zero	NUM
cana-4545	14	42	and	and	CCONJ
cana-4545	14	43	one	one	NUM
cana-4545	14	44	.	.	PUNCT
cana-4545	15	1	to	to	PART
cana-4545	15	2	overcome	overcome	VERB
cana-4545	15	3	this	this	DET
cana-4545	15	4	difficulty	difficulty	NOUN
cana-4545	15	5	,	,	PUNCT
cana-4545	15	6	atanassov	atanassov	ADJ
cana-4545	15	7	and	and	CCONJ
cana-4545	15	8	gargov	gargov	ADJ
cana-4545	15	9	(	(	PUNCT
cana-4545	15	10	1989	1989	NUM
cana-4545	15	11	)	)	PUNCT
cana-4545	15	12	introduced	introduce	VERB
cana-4545	15	13	interval	interval	NOUN
cana-4545	15	14	-	-	PUNCT
cana-4545	15	15	valued	value	VERB
cana-4545	15	16	intuitionistic	intuitionistic	ADJ
cana-4545	15	17	fuzzy	fuzzy	ADJ
cana-4545	15	18	sets	set	NOUN
cana-4545	15	19	(	(	PUNCT
cana-4545	15	20	ivifs	ivif	NOUN
cana-4545	15	21	)	)	PUNCT
cana-4545	15	22	by	by	ADP
cana-4545	15	23	extending	extend	VERB
cana-4545	15	24	the	the	DET
cana-4545	15	25	concept	concept	NOUN
cana-4545	15	26	to	to	PART
cana-4545	15	27	represent	represent	VERB
cana-4545	15	28	the	the	DET
cana-4545	15	29	membership	membership	NOUN
cana-4545	15	30	and	and	CCONJ
cana-4545	15	31	non	non	ADJ
cana-4545	15	32	-	-	ADJ
cana-4545	15	33	membership	membership	ADJ
cana-4545	15	34	degrees	degree	NOUN
cana-4545	15	35	using	use	VERB
cana-4545	15	36	intervals	interval	NOUN
cana-4545	15	37	instead	instead	ADV
cana-4545	15	38	of	of	ADP
cana-4545	15	39	precise	precise	ADJ
cana-4545	15	40	values	value	NOUN
cana-4545	15	41	.	.	PUNCT
cana-4545	16	1	this	this	DET
cana-4545	16	2	way	way	NOUN
cana-4545	16	3	is	be	AUX
cana-4545	16	4	very	very	ADV
cana-4545	16	5	useful	useful	ADJ
cana-4545	16	6	in	in	ADP
cana-4545	16	7	the	the	DET
cana-4545	16	8	complex	complex	ADJ
cana-4545	16	9	environment	environment	NOUN
cana-4545	16	10	,	,	PUNCT
cana-4545	16	11	owing	owe	VERB
cana-4545	16	12	to	to	ADP
cana-4545	16	13	a	a	DET
cana-4545	16	14	lot	lot	NOUN
cana-4545	16	15	of	of	ADP
cana-4545	16	16	facilitation	facilitation	NOUN
cana-4545	16	17	in	in	ADP
cana-4545	16	18	improving	improve	VERB
cana-4545	16	19	the	the	DET
cana-4545	16	20	flexibility	flexibility	NOUN
cana-4545	16	21	of	of	ADP
cana-4545	16	22	fuzzy	fuzzy	ADJ
cana-4545	16	23	sets	set	NOUN
cana-4545	16	24	,	,	PUNCT
cana-4545	16	25	which	which	PRON
cana-4545	16	26	was	be	AUX
cana-4545	16	27	proposed	propose	VERB
cana-4545	16	28	to	to	PART
cana-4545	16	29	deal	deal	VERB
cana-4545	16	30	with	with	ADP
cana-4545	16	31	ambiguity	ambiguity	NOUN
cana-4545	16	32	and	and	CCONJ
cana-4545	16	33	uncertainty	uncertainty	NOUN
cana-4545	16	34	(	(	PUNCT
cana-4545	16	35	zhou	zhou	X
cana-4545	16	36	et	et	PROPN
cana-4545	16	37	al	al	PROPN
cana-4545	16	38	.	.	PROPN
cana-4545	16	39	,	,	PUNCT
cana-4545	16	40	2014a	2014a	NUM
cana-4545	16	41	;	;	PUNCT
cana-4545	16	42	meng	meng	PROPN
cana-4545	16	43	and	and	CCONJ
cana-4545	16	44	chen	chen	PROPN
cana-4545	16	45	,	,	PUNCT
cana-4545	16	46	2015	2015	NUM
cana-4545	16	47	;	;	PUNCT
cana-4545	16	48	wu	wu	PROPN
cana-4545	16	49	and	and	CCONJ
cana-4545	16	50	chiclana	chiclana	PROPN
cana-4545	16	51	,	,	PUNCT
cana-4545	16	52	2014	2014	NUM
cana-4545	16	53	;	;	PUNCT
cana-4545	16	54	onar	onar	PROPN
cana-4545	16	55	et	et	PROPN
cana-4545	16	56	al	al	PROPN
cana-4545	16	57	.	.	PROPN
cana-4545	16	58	,	,	PUNCT
cana-4545	16	59	2015	2015	NUM
cana-4545	16	60	;	;	PUNCT
cana-4545	16	61	hu	hu	PROPN
cana-4545	16	62	et	et	PROPN
cana-4545	16	63	al	al	PROPN
cana-4545	16	64	.	.	PROPN
cana-4545	16	65	,	,	PUNCT
cana-4545	16	66	2015	2015	NUM
cana-4545	16	67	;	;	PUNCT
cana-4545	16	68	zhou	zhou	PROPN
cana-4545	16	69	et	et	PROPN
cana-4545	16	70	al	al	PROPN
cana-4545	16	71	.	.	PROPN
cana-4545	16	72	,	,	PUNCT
cana-4545	16	73	2016	2016	NUM
cana-4545	16	74	)	)	PUNCT
cana-4545	16	75	.	.	PUNCT
cana-4545	17	1	ifss	ifss	VERB
cana-4545	17	2	and	and	CCONJ
cana-4545	17	3	ivifss	ivifss	ADV
cana-4545	17	4	can	can	AUX
cana-4545	17	5	deal	deal	VERB
cana-4545	17	6	with	with	ADP
cana-4545	17	7	incomplete	incomplete	ADJ
cana-4545	17	8	information	information	NOUN
cana-4545	17	9	.	.	PUNCT
cana-4545	18	1	however	however	ADV
cana-4545	18	2	,	,	PUNCT
cana-4545	18	3	the	the	DET
cana-4545	18	4	information	information	NOUN
cana-4545	18	5	at	at	ADP
cana-4545	18	6	the	the	DET
cana-4545	18	7	hands	hand	NOUN
cana-4545	18	8	of	of	ADP
cana-4545	18	9	a	a	DET
cana-4545	18	10	decision	decision	NOUN
cana-4545	18	11	-	-	PUNCT
cana-4545	18	12	maker	maker	NOUN
cana-4545	18	13	is	be	AUX
cana-4545	18	14	often	often	ADV
cana-4545	18	15	fuzzy	fuzzy	ADJ
cana-4545	18	16	and	and	CCONJ
cana-4545	18	17	inconsistent	inconsistent	ADJ
cana-4545	18	18	,	,	PUNCT
cana-4545	18	19	and	and	CCONJ
cana-4545	18	20	ifss	ifss	ADJ
cana-4545	18	21	and	and	CCONJ
cana-4545	18	22	ivifss	ivifss	ADV
cana-4545	18	23	are	be	AUX
cana-4545	18	24	incapable	incapable	ADJ
cana-4545	18	25	of	of	ADP
cana-4545	18	26	dealing	deal	VERB
cana-4545	18	27	with	with	ADP
cana-4545	18	28	it	it	PRON
cana-4545	18	29	;	;	PUNCT
cana-4545	18	30	mailto:deepaganesh2011@gmail.com	mailto:deepaganesh2011@gmail.com	NOUN
cana-4545	18	31	communications	communication	NOUN
cana-4545	18	32	on	on	ADP
cana-4545	18	33	applied	apply	VERB
cana-4545	18	34	nonlinear	nonlinear	ADJ
cana-4545	18	35	analysis	analysis	NOUN
cana-4545	18	36	issn	issn	NOUN
cana-4545	18	37	:	:	PUNCT
cana-4545	18	38	1074	1074	NUM
cana-4545	18	39	-	-	PUNCT
cana-4545	18	40	133x	133x	NUM
cana-4545	18	41	vol	vol	NOUN
cana-4545	18	42	32	32	NUM
cana-4545	18	43	no	no	NOUN
cana-4545	18	44	.	.	PUNCT
cana-4545	19	1	9s	9s	NUM
cana-4545	19	2	(	(	PUNCT
cana-4545	19	3	2025	2025	NUM
cana-4545	19	4	)	)	PUNCT
cana-4545	19	5	2636	2636	NUM
cana-4545	19	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	19	7	therefore	therefore	ADV
cana-4545	19	8	,	,	PUNCT
cana-4545	19	9	smarandache	smarandache	X
cana-4545	19	10	(	(	PUNCT
cana-4545	19	11	1999	1999	NUM
cana-4545	19	12	,	,	PUNCT
cana-4545	19	13	2003	2003	NUM
cana-4545	19	14	)	)	PUNCT
cana-4545	19	15	developed	develop	VERB
cana-4545	19	16	the	the	DET
cana-4545	19	17	neutrosophic	neutrosophic	ADJ
cana-4545	19	18	sets	set	NOUN
cana-4545	19	19	(	(	PUNCT
cana-4545	19	20	nss	ns	NOUN
cana-4545	19	21	)	)	PUNCT
cana-4545	19	22	,	,	PUNCT
cana-4545	19	23	primarily	primarily	ADV
cana-4545	19	24	by	by	ADP
cana-4545	19	25	a	a	DET
cana-4545	19	26	philosophical	philosophical	ADJ
cana-4545	19	27	perspective	perspective	NOUN
cana-4545	19	28	.	.	PUNCT
cana-4545	20	1	nss	ns	NOUN
cana-4545	20	2	simultaneously	simultaneously	ADV
cana-4545	20	3	consider	consider	VERB
cana-4545	20	4	truth	truth	NOUN
cana-4545	20	5	membership	membership	NOUN
cana-4545	20	6	,	,	PUNCT
cana-4545	20	7	indeterminacy	indeterminacy	NOUN
cana-4545	20	8	membership	membership	NOUN
cana-4545	20	9	,	,	PUNCT
cana-4545	20	10	and	and	CCONJ
cana-4545	20	11	falsity	falsity	NOUN
cana-4545	20	12	membership	membership	NOUN
cana-4545	20	13	,	,	PUNCT
cana-4545	20	14	each	each	DET
cana-4545	20	15	independent	independent	NOUN
cana-4545	20	16	of	of	ADP
cana-4545	20	17	the	the	DET
cana-4545	20	18	others	other	NOUN
cana-4545	20	19	.	.	PUNCT
cana-4545	21	1	despite	despite	SCONJ
cana-4545	21	2	their	their	PRON
cana-4545	21	3	theoretical	theoretical	ADJ
cana-4545	21	4	attractiveness	attractiveness	NOUN
cana-4545	21	5	,	,	PUNCT
cana-4545	21	6	nss	ns	NOUN
cana-4545	21	7	remain	remain	VERB
cana-4545	21	8	challenging	challenging	ADJ
cana-4545	21	9	to	to	PART
cana-4545	21	10	be	be	AUX
cana-4545	21	11	applied	apply	VERB
cana-4545	21	12	in	in	ADP
cana-4545	21	13	practical	practical	ADJ
cana-4545	21	14	science	science	NOUN
cana-4545	21	15	and	and	CCONJ
cana-4545	21	16	engineering	engineering	NOUN
cana-4545	21	17	applications	application	NOUN
cana-4545	21	18	.	.	PUNCT
cana-4545	22	1	there	there	PRON
cana-4545	22	2	are	be	VERB
cana-4545	22	3	three	three	NUM
cana-4545	22	4	significant	significant	ADJ
cana-4545	22	5	branches	branch	NOUN
cana-4545	22	6	of	of	ADP
cana-4545	22	7	fuzzy	fuzzy	ADJ
cana-4545	22	8	theory	theory	NOUN
cana-4545	22	9	research	research	NOUN
cana-4545	22	10	:	:	PUNCT
cana-4545	22	11	entropy	entropy	PROPN
cana-4545	22	12	,	,	PUNCT
cana-4545	22	13	similarity	similarity	NOUN
cana-4545	22	14	measures	measure	NOUN
cana-4545	22	15	,	,	PUNCT
cana-4545	22	16	and	and	CCONJ
cana-4545	22	17	crossentropy	crossentropy	NOUN
cana-4545	22	18	.	.	PUNCT
cana-4545	23	1	they	they	PRON
cana-4545	23	2	have	have	VERB
cana-4545	23	3	a	a	DET
cana-4545	23	4	lot	lot	NOUN
cana-4545	23	5	of	of	ADP
cana-4545	23	6	broad	broad	ADJ
cana-4545	23	7	applications	application	NOUN
cana-4545	23	8	in	in	ADP
cana-4545	23	9	medical	medical	ADJ
cana-4545	23	10	diagnosis	diagnosis	NOUN
cana-4545	23	11	,	,	PUNCT
cana-4545	23	12	information	information	NOUN
cana-4545	23	13	fusion	fusion	NOUN
cana-4545	23	14	systems	system	NOUN
cana-4545	23	15	,	,	PUNCT
cana-4545	23	16	and	and	CCONJ
cana-4545	23	17	so	so	ADV
cana-4545	23	18	on	on	ADV
cana-4545	23	19	.	.	PUNCT
cana-4545	24	1	entropy	entropy	PROPN
cana-4545	24	2	is	be	AUX
cana-4545	24	3	one	one	NUM
cana-4545	24	4	of	of	ADP
cana-4545	24	5	the	the	DET
cana-4545	24	6	important	important	ADJ
cana-4545	24	7	elements	element	NOUN
cana-4545	24	8	to	to	PART
cana-4545	24	9	quantify	quantify	VERB
cana-4545	24	10	uncertain	uncertain	ADJ
cana-4545	24	11	information	information	NOUN
cana-4545	24	12	,	,	PUNCT
cana-4545	24	13	which	which	PRON
cana-4545	24	14	attracts	attract	VERB
cana-4545	24	15	much	much	ADJ
cana-4545	24	16	attention	attention	NOUN
cana-4545	24	17	since	since	SCONJ
cana-4545	24	18	its	its	PRON
cana-4545	24	19	emergence	emergence	NOUN
cana-4545	24	20	(	(	PUNCT
cana-4545	24	21	wei	wei	PROPN
cana-4545	24	22	et	et	PROPN
cana-4545	24	23	al	al	PROPN
cana-4545	24	24	.	.	PROPN
cana-4545	24	25	,	,	PUNCT
cana-4545	24	26	2011	2011	NUM
cana-4545	24	27	)	)	PUNCT
cana-4545	24	28	.	.	PUNCT
cana-4545	25	1	the	the	DET
cana-4545	25	2	concept	concept	NOUN
cana-4545	25	3	of	of	ADP
cana-4545	25	4	fuzzy	fuzzy	ADJ
cana-4545	25	5	entropy	entropy	NOUN
cana-4545	25	6	was	be	AUX
cana-4545	25	7	first	first	ADV
cana-4545	25	8	proposed	propose	VERB
cana-4545	25	9	by	by	ADP
cana-4545	25	10	zadeh	zadeh	PROPN
cana-4545	25	11	in	in	ADP
cana-4545	25	12	1968	1968	NUM
cana-4545	25	13	to	to	PART
cana-4545	25	14	quantify	quantify	VERB
cana-4545	25	15	fuzziness	fuzziness	NOUN
cana-4545	25	16	in	in	ADP
cana-4545	25	17	information	information	NOUN
cana-4545	25	18	for	for	ADP
cana-4545	25	19	decision	decision	NOUN
cana-4545	25	20	-	-	PUNCT
cana-4545	25	21	making	making	NOUN
cana-4545	25	22	.	.	PUNCT
cana-4545	26	1	luca	luca	PROPN
cana-4545	26	2	and	and	CCONJ
cana-4545	26	3	termini	termini	PROPN
cana-4545	26	4	(	(	PUNCT
cana-4545	26	5	1972	1972	NUM
cana-4545	26	6	)	)	PUNCT
cana-4545	26	7	afterwards	afterwards	ADV
cana-4545	26	8	gave	give	VERB
cana-4545	26	9	a	a	DET
cana-4545	26	10	formal	formal	ADJ
cana-4545	26	11	definition	definition	NOUN
cana-4545	26	12	of	of	ADP
cana-4545	26	13	the	the	DET
cana-4545	26	14	entropy	entropy	NOUN
cana-4545	26	15	of	of	ADP
cana-4545	26	16	a	a	DET
cana-4545	26	17	fs	f	NOUN
cana-4545	26	18	and	and	CCONJ
cana-4545	26	19	pointed	point	VERB
cana-4545	26	20	out	out	ADP
cana-4545	26	21	the	the	DET
cana-4545	26	22	axioms	axiom	NOUN
cana-4545	26	23	that	that	SCONJ
cana-4545	26	24	fuzzy	fuzzy	ADJ
cana-4545	26	25	entropy	entropy	NOUN
cana-4545	26	26	should	should	AUX
cana-4545	26	27	fulfill	fulfill	VERB
cana-4545	26	28	.	.	PUNCT
cana-4545	27	1	szmidt	szmidt	PROPN
cana-4545	27	2	and	and	CCONJ
cana-4545	27	3	kacprzyk	kacprzyk	PROPN
cana-4545	27	4	(	(	PUNCT
cana-4545	27	5	2001	2001	NUM
cana-4545	27	6	)	)	PUNCT
cana-4545	27	7	proposed	propose	VERB
cana-4545	27	8	a	a	DET
cana-4545	27	9	non	non	ADJ
cana-4545	27	10	-	-	ADJ
cana-4545	27	11	probabilistic	probabilistic	ADJ
cana-4545	27	12	entropy	entropy	NOUN
cana-4545	27	13	measure	measure	NOUN
cana-4545	27	14	for	for	ADP
cana-4545	27	15	ifss	ifss	NOUN
cana-4545	27	16	.	.	PUNCT
cana-4545	28	1	the	the	DET
cana-4545	28	2	idea	idea	NOUN
cana-4545	28	3	was	be	AUX
cana-4545	28	4	to	to	PART
cana-4545	28	5	use	use	VERB
cana-4545	28	6	the	the	DET
cana-4545	28	7	ratio	ratio	NOUN
cana-4545	28	8	of	of	ADP
cana-4545	28	9	intuitionistic	intuitionistic	ADJ
cana-4545	28	10	fuzzy	fuzzy	ADJ
cana-4545	28	11	cardinalities	cardinality	NOUN
cana-4545	28	12	in	in	ADP
cana-4545	28	13	defining	define	VERB
cana-4545	28	14	the	the	DET
cana-4545	28	15	axiomatic	axiomatic	ADJ
cana-4545	28	16	conditions	condition	NOUN
cana-4545	28	17	for	for	ADP
cana-4545	28	18	intuitionistic	intuitionistic	ADJ
cana-4545	28	19	fuzzy	fuzzy	ADJ
cana-4545	28	20	entropy	entropy	NOUN
cana-4545	28	21	.	.	PUNCT
cana-4545	29	1	ye	ye	PRON
cana-4545	29	2	created	create	VERB
cana-4545	29	3	an	an	DET
cana-4545	29	4	entropy	entropy	ADV
cana-4545	29	5	-	-	PUNCT
cana-4545	29	6	weighted	weight	VERB
cana-4545	29	7	approach	approach	NOUN
cana-4545	29	8	to	to	PART
cana-4545	29	9	calculate	calculate	VERB
cana-4545	29	10	entropy	entropy	NOUN
cana-4545	29	11	weights	weight	NOUN
cana-4545	29	12	and	and	CCONJ
cana-4545	29	13	suggested	suggest	VERB
cana-4545	29	14	two	two	NUM
cana-4545	29	15	entropy	entropy	NOUN
cana-4545	29	16	measures	measure	NOUN
cana-4545	29	17	for	for	ADP
cana-4545	29	18	interval	interval	NOUN
cana-4545	29	19	-	-	PUNCT
cana-4545	29	20	valued	value	VERB
cana-4545	29	21	intuitionistic	intuitionistic	ADJ
cana-4545	29	22	fuzzy	fuzzy	ADJ
cana-4545	29	23	sets	set	NOUN
cana-4545	29	24	(	(	PUNCT
cana-4545	29	25	ivifss	ivifss	INTJ
cana-4545	29	26	)	)	PUNCT
cana-4545	29	27	in	in	ADP
cana-4545	29	28	2010	2010	NUM
cana-4545	29	29	.	.	PUNCT
cana-4545	30	1	jin	jin	NOUN
cana-4545	30	2	et	et	PROPN
cana-4545	30	3	al	al	PROPN
cana-4545	30	4	.	.	PROPN
cana-4545	31	1	(	(	PUNCT
cana-4545	31	2	2014	2014	NUM
cana-4545	31	3	)	)	PUNCT
cana-4545	31	4	investigated	investigate	VERB
cana-4545	31	5	an	an	DET
cana-4545	31	6	interval	interval	NOUN
cana-4545	31	7	-	-	PUNCT
cana-4545	31	8	valued	value	VERB
cana-4545	31	9	intuitionistic	intuitionistic	ADJ
cana-4545	31	10	fuzzy	fuzzy	ADJ
cana-4545	31	11	continuous	continuous	ADJ
cana-4545	31	12	weighted	weight	VERB
cana-4545	31	13	entropy	entropy	NOUN
cana-4545	31	14	to	to	PART
cana-4545	31	15	solve	solve	VERB
cana-4545	31	16	multi	multi	ADJ
cana-4545	31	17	-	-	ADJ
cana-4545	31	18	criteria	criterion	NOUN
cana-4545	31	19	decision	decision	NOUN
cana-4545	31	20	-	-	PUNCT
cana-4545	31	21	making	making	NOUN
cana-4545	31	22	(	(	PUNCT
cana-4545	31	23	madm	madm	NOUN
cana-4545	31	24	)	)	PUNCT
cana-4545	31	25	problems	problem	NOUN
cana-4545	31	26	using	use	VERB
cana-4545	31	27	the	the	DET
cana-4545	31	28	continuous	continuous	ADJ
cana-4545	31	29	ordered	order	VERB
cana-4545	31	30	weighted	weight	VERB
cana-4545	31	31	averaging	average	VERB
cana-4545	31	32	(	(	PUNCT
cana-4545	31	33	cowa	cowa	NOUN
cana-4545	31	34	)	)	PUNCT
cana-4545	31	35	operator	operator	NOUN
cana-4545	31	36	.	.	PUNCT
cana-4545	32	1	an	an	DET
cana-4545	32	2	entropy	entropy	NOUN
cana-4545	32	3	function	function	NOUN
cana-4545	32	4	was	be	AUX
cana-4545	32	5	created	create	VERB
cana-4545	32	6	by	by	ADP
cana-4545	32	7	majumdar	majumdar	PROPN
cana-4545	32	8	and	and	CCONJ
cana-4545	32	9	samanta	samanta	PROPN
cana-4545	32	10	(	(	PUNCT
cana-4545	32	11	2014	2014	NUM
cana-4545	32	12	)	)	PUNCT
cana-4545	32	13	to	to	PART
cana-4545	32	14	quantify	quantify	VERB
cana-4545	32	15	the	the	DET
cana-4545	32	16	degree	degree	NOUN
cana-4545	32	17	of	of	ADP
cana-4545	32	18	uncertainty	uncertainty	NOUN
cana-4545	32	19	in	in	ADP
cana-4545	32	20	a	a	DET
cana-4545	32	21	single	single	ADV
cana-4545	32	22	-	-	PUNCT
cana-4545	32	23	valued	value	VERB
cana-4545	32	24	neutrosophic	neutrosophic	ADJ
cana-4545	32	25	set	set	NOUN
cana-4545	32	26	(	(	PUNCT
cana-4545	32	27	svnv	svnv	NOUN
cana-4545	32	28	)	)	PUNCT
cana-4545	32	29	.	.	PUNCT
cana-4545	33	1	similarity	similarity	NOUN
cana-4545	33	2	measures	measure	NOUN
cana-4545	33	3	and	and	CCONJ
cana-4545	33	4	cross	cross	NOUN
cana-4545	33	5	-	-	NOUN
cana-4545	33	6	entropy	entropy	NOUN
cana-4545	33	7	are	be	AUX
cana-4545	33	8	mainly	mainly	ADV
cana-4545	33	9	used	use	VERB
cana-4545	33	10	to	to	PART
cana-4545	33	11	evaluate	evaluate	VERB
cana-4545	33	12	the	the	DET
cana-4545	33	13	discrimination	discrimination	NOUN
cana-4545	33	14	information	information	NOUN
cana-4545	33	15	.	.	PUNCT
cana-4545	34	1	great	great	ADJ
cana-4545	34	2	amounts	amount	NOUN
cana-4545	34	3	of	of	ADP
cana-4545	34	4	work	work	NOUN
cana-4545	34	5	have	have	AUX
cana-4545	34	6	been	be	AUX
cana-4545	34	7	carried	carry	VERB
cana-4545	34	8	out	out	ADP
cana-4545	34	9	for	for	ADP
cana-4545	34	10	such	such	ADJ
cana-4545	34	11	topics	topic	NOUN
cana-4545	34	12	(	(	PUNCT
cana-4545	34	13	grzegorzewski	grzegorzewski	PROPN
cana-4545	34	14	,	,	PUNCT
cana-4545	34	15	2004	2004	NUM
cana-4545	34	16	;	;	PUNCT
cana-4545	34	17	zhou	zhou	PROPN
cana-4545	34	18	and	and	CCONJ
cana-4545	34	19	chen	chen	PROPN
cana-4545	34	20	,	,	PUNCT
cana-4545	34	21	2013	2013	NUM
cana-4545	34	22	;	;	PUNCT
cana-4545	34	23	hung	hung	PROPN
cana-4545	34	24	and	and	CCONJ
cana-4545	34	25	yang	yang	PROPN
cana-4545	34	26	,	,	PUNCT
cana-4545	34	27	2007	2007	NUM
cana-4545	34	28	;	;	PUNCT
cana-4545	34	29	zhou	zhou	PROPN
cana-4545	34	30	et	et	PROPN
cana-4545	34	31	al	al	PROPN
cana-4545	34	32	.	.	PROPN
cana-4545	34	33	,	,	PUNCT
cana-4545	34	34	2014b	2014b	NUM
cana-4545	34	35	;	;	PUNCT
cana-4545	34	36	ye	ye	NOUN
cana-4545	34	37	,	,	PUNCT
cana-4545	34	38	2017	2017	NUM
cana-4545	34	39	)	)	PUNCT
cana-4545	34	40	.	.	PUNCT
cana-4545	35	1	liu	liu	PROPN
cana-4545	35	2	(	(	PUNCT
cana-4545	35	3	1992	1992	NUM
cana-4545	35	4	)	)	PUNCT
cana-4545	35	5	proposed	propose	VERB
cana-4545	35	6	axiomatic	axiomatic	ADJ
cana-4545	35	7	definitions	definition	NOUN
cana-4545	35	8	for	for	ADP
cana-4545	35	9	entropy	entropy	NOUN
cana-4545	35	10	,	,	PUNCT
cana-4545	35	11	distance	distance	NOUN
cana-4545	35	12	measures	measure	NOUN
cana-4545	35	13	and	and	CCONJ
cana-4545	35	14	similarity	similarity	NOUN
cana-4545	35	15	measures	measure	NOUN
cana-4545	35	16	of	of	ADP
cana-4545	35	17	fss	fss	NOUN
cana-4545	35	18	,	,	PUNCT
cana-4545	35	19	and	and	CCONJ
cana-4545	35	20	revealed	reveal	VERB
cana-4545	35	21	their	their	PRON
cana-4545	35	22	basic	basic	ADJ
cana-4545	35	23	interrelations	interrelation	NOUN
cana-4545	35	24	deeply	deeply	ADV
cana-4545	35	25	.	.	PUNCT
cana-4545	36	1	vlachos	vlachos	ADP
cana-4545	36	2	and	and	CCONJ
cana-4545	36	3	sergiadis	sergiadis	PROPN
cana-4545	36	4	(	(	PUNCT
cana-4545	36	5	2007	2007	NUM
cana-4545	36	6	)	)	PUNCT
cana-4545	36	7	firstly	firstly	ADV
cana-4545	36	8	proposed	propose	VERB
cana-4545	36	9	the	the	DET
cana-4545	36	10	concept	concept	NOUN
cana-4545	36	11	of	of	ADP
cana-4545	36	12	intuitionistic	intuitionistic	ADJ
cana-4545	36	13	fuzzy	fuzzy	ADJ
cana-4545	36	14	cross	cross	NOUN
cana-4545	36	15	-	-	NOUN
cana-4545	36	16	entropy	entropy	NOUN
cana-4545	36	17	and	and	CCONJ
cana-4545	36	18	investigated	investigate	VERB
cana-4545	36	19	the	the	DET
cana-4545	36	20	relationships	relationship	NOUN
cana-4545	36	21	of	of	ADP
cana-4545	36	22	cross	cross	NOUN
cana-4545	36	23	-	-	NOUN
cana-4545	36	24	entropy	entropy	NOUN
cana-4545	36	25	and	and	CCONJ
cana-4545	36	26	entropy	entropy	PROPN
cana-4545	36	27	.	.	PUNCT
cana-4545	37	1	beliakov	beliakov	PROPN
cana-4545	37	2	et	et	PROPN
cana-4545	37	3	al	al	PROPN
cana-4545	37	4	.	.	PROPN
cana-4545	38	1	(	(	PUNCT
cana-4545	38	2	2014	2014	NUM
cana-4545	38	3	)	)	PUNCT
cana-4545	38	4	proposed	propose	VERB
cana-4545	38	5	a	a	DET
cana-4545	38	6	novel	novel	ADJ
cana-4545	38	7	method	method	NOUN
cana-4545	38	8	to	to	PART
cana-4545	38	9	define	define	VERB
cana-4545	38	10	the	the	DET
cana-4545	38	11	similarity	similarity	NOUN
cana-4545	38	12	measures	measure	NOUN
cana-4545	38	13	for	for	ADP
cana-4545	38	14	ifss	ifss	NOUN
cana-4545	38	15	,	,	PUNCT
cana-4545	38	16	under	under	ADP
cana-4545	38	17	which	which	PRON
cana-4545	38	18	each	each	DET
cana-4545	38	19	similarity	similarity	NOUN
cana-4545	38	20	measure	measure	NOUN
cana-4545	38	21	consists	consist	VERB
cana-4545	38	22	of	of	ADP
cana-4545	38	23	two	two	NUM
cana-4545	38	24	parts	part	NOUN
cana-4545	38	25	:	:	PUNCT
cana-4545	38	26	one	one	NUM
cana-4545	38	27	representing	represent	VERB
cana-4545	38	28	the	the	DET
cana-4545	38	29	similarity	similarity	NOUN
cana-4545	38	30	aspect	aspect	NOUN
cana-4545	38	31	and	and	CCONJ
cana-4545	38	32	another	another	DET
cana-4545	38	33	handling	handling	NOUN
cana-4545	38	34	hesitancy	hesitancy	NOUN
cana-4545	38	35	.	.	PUNCT
cana-4545	39	1	based	base	VERB
cana-4545	39	2	on	on	ADP
cana-4545	39	3	jaccard	jaccard	PROPN
cana-4545	39	4	,	,	PUNCT
cana-4545	39	5	dice	dice	NOUN
cana-4545	39	6	,	,	PUNCT
cana-4545	39	7	and	and	CCONJ
cana-4545	39	8	cosine	cosine	NOUN
cana-4545	39	9	similarity	similarity	NOUN
cana-4545	39	10	measures	measure	NOUN
cana-4545	39	11	in	in	ADP
cana-4545	39	12	vector	vector	NOUN
cana-4545	39	13	space	space	NOUN
cana-4545	39	14	,	,	PUNCT
cana-4545	39	15	ye	ye	PRON
cana-4545	39	16	(	(	PUNCT
cana-4545	39	17	2014a	2014a	NUM
cana-4545	39	18	)	)	PUNCT
cana-4545	39	19	presented	present	VERB
cana-4545	39	20	three	three	NUM
cana-4545	39	21	vector	vector	NOUN
cana-4545	39	22	similarity	similarity	NOUN
cana-4545	39	23	measures	measure	NOUN
cana-4545	39	24	for	for	SCONJ
cana-4545	39	25	svnss	svns	NOUN
cana-4545	39	26	to	to	PART
cana-4545	39	27	determine	determine	VERB
cana-4545	39	28	the	the	DET
cana-4545	39	29	ranking	ranking	NOUN
cana-4545	39	30	of	of	ADP
cana-4545	39	31	alternatives	alternative	NOUN
cana-4545	39	32	in	in	ADP
cana-4545	39	33	madm	madm	NOUN
cana-4545	39	34	problems	problem	NOUN
cana-4545	39	35	.	.	PUNCT
cana-4545	40	1	with	with	ADP
cana-4545	40	2	a	a	DET
cana-4545	40	3	view	view	NOUN
cana-4545	40	4	to	to	ADP
cana-4545	40	5	overcoming	overcome	VERB
cana-4545	40	6	the	the	DET
cana-4545	40	7	limitation	limitation	NOUN
cana-4545	40	8	of	of	ADP
cana-4545	40	9	the	the	DET
cana-4545	40	10	similarity	similarity	NOUN
cana-4545	40	11	measure	measure	NOUN
cana-4545	40	12	in	in	ADP
cana-4545	40	13	ye	ye	PRON
cana-4545	40	14	(	(	PUNCT
cana-4545	40	15	2014a	2014a	NUM
cana-4545	40	16	)	)	PUNCT
cana-4545	40	17	,	,	PUNCT
cana-4545	40	18	ye	ye	PRON
cana-4545	40	19	(	(	PUNCT
cana-4545	40	20	2015	2015	NUM
cana-4545	40	21	)	)	PUNCT
cana-4545	40	22	developed	develop	VERB
cana-4545	40	23	modified	modify	VERB
cana-4545	40	24	cosine	cosine	NOUN
cana-4545	40	25	similarity	similarity	NOUN
cana-4545	40	26	measures	measure	NOUN
cana-4545	40	27	for	for	ADP
cana-4545	40	28	svnss	svns	NOUN
cana-4545	40	29	based	base	VERB
cana-4545	40	30	on	on	ADP
cana-4545	40	31	the	the	DET
cana-4545	40	32	cosine	cosine	NOUN
cana-4545	40	33	function	function	NOUN
cana-4545	40	34	.	.	PUNCT
cana-4545	41	1	based	base	VERB
cana-4545	41	2	on	on	ADP
cana-4545	41	3	the	the	DET
cana-4545	41	4	distance	distance	NOUN
cana-4545	41	5	between	between	ADP
cana-4545	41	6	two	two	NUM
cana-4545	41	7	svnss	svns	NOUN
cana-4545	41	8	,	,	PUNCT
cana-4545	41	9	majumdar	majumdar	PROPN
cana-4545	41	10	and	and	CCONJ
cana-4545	41	11	samanta	samanta	PROPN
cana-4545	41	12	(	(	PUNCT
cana-4545	41	13	2014	2014	NUM
cana-4545	41	14	)	)	PUNCT
cana-4545	41	15	proposed	propose	VERB
cana-4545	41	16	some	some	DET
cana-4545	41	17	similarity	similarity	NOUN
cana-4545	41	18	measures	measure	NOUN
cana-4545	41	19	for	for	ADP
cana-4545	41	20	svnss	svns	NOUN
cana-4545	41	21	and	and	CCONJ
cana-4545	41	22	discussed	discuss	VERB
cana-4545	41	23	their	their	PRON
cana-4545	41	24	properties	property	NOUN
cana-4545	41	25	.	.	PUNCT
cana-4545	42	1	in	in	ADP
cana-4545	42	2	a	a	DET
cana-4545	42	3	single	single	ADV
cana-4545	42	4	-	-	PUNCT
cana-4545	42	5	valued	value	VERB
cana-4545	42	6	neutrosophic	neutrosophic	ADJ
cana-4545	42	7	environment	environment	NOUN
cana-4545	42	8	,	,	PUNCT
cana-4545	42	9	ye	ye	PROPN
cana-4545	42	10	(	(	PUNCT
cana-4545	42	11	2014b	2014b	NUM
cana-4545	42	12	)	)	PUNCT
cana-4545	42	13	initiated	initiate	VERB
cana-4545	42	14	a	a	DET
cana-4545	42	15	crossentropy	crossentropy	NOUN
cana-4545	42	16	method	method	NOUN
cana-4545	42	17	to	to	PART
cana-4545	42	18	determine	determine	VERB
cana-4545	42	19	madm	madm	NOUN
cana-4545	42	20	methods	method	NOUN
cana-4545	42	21	.	.	PUNCT
cana-4545	43	1	the	the	DET
cana-4545	43	2	relation	relation	NOUN
cana-4545	43	3	among	among	ADP
cana-4545	43	4	entropy	entropy	PROPN
cana-4545	43	5	,	,	PUNCT
cana-4545	43	6	similarity	similarity	NOUN
cana-4545	43	7	measures	measure	NOUN
cana-4545	43	8	,	,	PUNCT
cana-4545	43	9	and	and	CCONJ
cana-4545	43	10	cross	cross	NOUN
cana-4545	43	11	-	-	NOUN
cana-4545	43	12	entropy	entropy	NOUN
cana-4545	43	13	has	have	AUX
cana-4545	43	14	gained	gain	VERB
cana-4545	43	15	much	much	ADJ
cana-4545	43	16	attention	attention	NOUN
cana-4545	43	17	.	.	PUNCT
cana-4545	44	1	zhang	zhang	PROPN
cana-4545	44	2	et	et	PROPN
cana-4545	44	3	al	al	PROPN
cana-4545	44	4	.	.	PROPN
cana-4545	44	5	(	(	PUNCT
cana-4545	44	6	2009	2009	NUM
cana-4545	44	7	)	)	PUNCT
cana-4545	44	8	and	and	CCONJ
cana-4545	44	9	zeng	zeng	PROPN
cana-4545	44	10	and	and	CCONJ
cana-4545	44	11	li	li	PROPN
cana-4545	44	12	(	(	PUNCT
cana-4545	44	13	2006	2006	NUM
cana-4545	44	14	)	)	PUNCT
cana-4545	44	15	proved	prove	VERB
cana-4545	44	16	that	that	SCONJ
cana-4545	44	17	the	the	DET
cana-4545	44	18	entropy	entropy	NOUN
cana-4545	44	19	and	and	CCONJ
cana-4545	44	20	similarity	similarity	NOUN
cana-4545	44	21	measures	measure	NOUN
cana-4545	44	22	of	of	ADP
cana-4545	44	23	interval	interval	NOUN
cana-4545	44	24	-	-	PUNCT
cana-4545	44	25	valued	value	VERB
cana-4545	44	26	fuzzy	fuzzy	ADJ
cana-4545	44	27	sets	set	NOUN
cana-4545	44	28	(	(	PUNCT
cana-4545	44	29	ivfss	ivfss	NOUN
cana-4545	44	30	)	)	PUNCT
cana-4545	44	31	can	can	AUX
cana-4545	44	32	be	be	AUX
cana-4545	44	33	transformed	transform	VERB
cana-4545	44	34	into	into	ADP
cana-4545	44	35	each	each	DET
cana-4545	44	36	other	other	ADJ
cana-4545	44	37	the	the	DET
cana-4545	44	38	process	process	NOUN
cana-4545	44	39	of	of	ADP
cana-4545	44	40	selecting	select	VERB
cana-4545	44	41	the	the	DET
cana-4545	44	42	best	good	ADJ
cana-4545	44	43	hospital	hospital	NOUN
cana-4545	44	44	is	be	AUX
cana-4545	44	45	a	a	DET
cana-4545	44	46	multifaceted	multifaceted	ADJ
cana-4545	44	47	decision	decision	NOUN
cana-4545	44	48	that	that	PRON
cana-4545	44	49	demands	demand	VERB
cana-4545	44	50	careful	careful	ADJ
cana-4545	44	51	consideration	consideration	NOUN
cana-4545	44	52	of	of	ADP
cana-4545	44	53	various	various	ADJ
cana-4545	44	54	factors	factor	NOUN
cana-4545	44	55	,	,	PUNCT
cana-4545	44	56	such	such	ADJ
cana-4545	44	57	as	as	ADP
cana-4545	44	58	medical	medical	ADJ
cana-4545	44	59	expertise	expertise	NOUN
cana-4545	44	60	,	,	PUNCT
cana-4545	44	61	infrastructure	infrastructure	NOUN
cana-4545	44	62	,	,	PUNCT
cana-4545	44	63	patient	patient	ADJ
cana-4545	44	64	care	care	NOUN
cana-4545	44	65	quality	quality	NOUN
cana-4545	44	66	,	,	PUNCT
cana-4545	44	67	and	and	CCONJ
cana-4545	44	68	operational	operational	ADJ
cana-4545	44	69	efficiency	efficiency	NOUN
cana-4545	44	70	.	.	PUNCT
cana-4545	45	1	given	give	VERB
cana-4545	45	2	the	the	DET
cana-4545	45	3	complexities	complexity	NOUN
cana-4545	45	4	involved	involve	VERB
cana-4545	45	5	in	in	ADP
cana-4545	45	6	hospital	hospital	NOUN
cana-4545	45	7	assessment	assessment	NOUN
cana-4545	45	8	,	,	PUNCT
cana-4545	45	9	decision	decision	NOUN
cana-4545	45	10	-	-	PUNCT
cana-4545	45	11	makers	maker	NOUN
cana-4545	45	12	often	often	ADV
cana-4545	45	13	face	face	VERB
cana-4545	45	14	significant	significant	ADJ
cana-4545	45	15	challenges	challenge	NOUN
cana-4545	45	16	in	in	ADP
cana-4545	45	17	making	make	VERB
cana-4545	45	18	an	an	DET
cana-4545	45	19	informed	informed	ADJ
cana-4545	45	20	choice	choice	NOUN
cana-4545	45	21	.	.	PUNCT
cana-4545	46	1	traditional	traditional	ADJ
cana-4545	46	2	methods	method	NOUN
cana-4545	46	3	of	of	ADP
cana-4545	46	4	hospital	hospital	NOUN
cana-4545	46	5	selection	selection	NOUN
cana-4545	46	6	primarily	primarily	ADV
cana-4545	46	7	rely	rely	VERB
cana-4545	46	8	on	on	ADP
cana-4545	46	9	qualitative	qualitative	ADJ
cana-4545	46	10	assessments	assessment	NOUN
cana-4545	46	11	or	or	CCONJ
cana-4545	46	12	limited	limit	VERB
cana-4545	46	13	quantitative	quantitative	ADJ
cana-4545	46	14	data	datum	NOUN
cana-4545	46	15	,	,	PUNCT
cana-4545	46	16	which	which	PRON
cana-4545	46	17	may	may	AUX
cana-4545	46	18	not	not	PART
cana-4545	46	19	fully	fully	ADV
cana-4545	46	20	capture	capture	VERB
cana-4545	46	21	the	the	DET
cana-4545	46	22	underlying	underlie	VERB
cana-4545	46	23	uncertainties	uncertainty	NOUN
cana-4545	46	24	and	and	CCONJ
cana-4545	46	25	subjectivity	subjectivity	NOUN
cana-4545	46	26	inherent	inherent	ADJ
cana-4545	46	27	in	in	ADP
cana-4545	46	28	the	the	DET
cana-4545	46	29	evaluation	evaluation	NOUN
cana-4545	46	30	process	process	NOUN
cana-4545	46	31	.	.	PUNCT
cana-4545	47	1	communications	communication	NOUN
cana-4545	47	2	on	on	ADP
cana-4545	47	3	applied	apply	VERB
cana-4545	47	4	nonlinear	nonlinear	ADJ
cana-4545	47	5	analysis	analysis	NOUN
cana-4545	47	6	issn	issn	NOUN
cana-4545	47	7	:	:	PUNCT
cana-4545	47	8	1074	1074	NUM
cana-4545	47	9	-	-	PUNCT
cana-4545	47	10	133x	133x	NUM
cana-4545	47	11	vol	vol	NOUN
cana-4545	47	12	32	32	NUM
cana-4545	47	13	no	no	NOUN
cana-4545	47	14	.	.	PUNCT
cana-4545	48	1	9s	9s	NUM
cana-4545	48	2	(	(	PUNCT
cana-4545	48	3	2025	2025	NUM
cana-4545	48	4	)	)	PUNCT
cana-4545	48	5	2637	2637	NUM
cana-4545	48	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	49	1	to	to	PART
cana-4545	49	2	address	address	VERB
cana-4545	49	3	these	these	DET
cana-4545	49	4	challenges	challenge	NOUN
cana-4545	49	5	,	,	PUNCT
cana-4545	49	6	this	this	DET
cana-4545	49	7	paper	paper	NOUN
cana-4545	49	8	proposes	propose	VERB
cana-4545	49	9	an	an	DET
cana-4545	49	10	advanced	advanced	ADJ
cana-4545	49	11	decision	decision	NOUN
cana-4545	49	12	-	-	PUNCT
cana-4545	49	13	making	make	VERB
cana-4545	49	14	framework	framework	NOUN
cana-4545	49	15	that	that	PRON
cana-4545	49	16	combines	combine	VERB
cana-4545	49	17	neutrosophic	neutrosophic	ADJ
cana-4545	49	18	set	set	NOUN
cana-4545	49	19	theory	theory	NOUN
cana-4545	49	20	,	,	PUNCT
cana-4545	49	21	entropy	entropy	PROPN
cana-4545	49	22	weighting	weighting	NOUN
cana-4545	49	23	,	,	PUNCT
cana-4545	49	24	and	and	CCONJ
cana-4545	49	25	multi	multi	ADJ
cana-4545	49	26	-	-	ADJ
cana-4545	49	27	attribute	attribute	NOUN
cana-4545	49	28	decision	decision	NOUN
cana-4545	49	29	-	-	PUNCT
cana-4545	49	30	making	making	NOUN
cana-4545	49	31	(	(	PUNCT
cana-4545	49	32	madm	madm	NOUN
cana-4545	49	33	)	)	PUNCT
cana-4545	49	34	techniques	technique	NOUN
cana-4545	49	35	to	to	PART
cana-4545	49	36	facilitate	facilitate	VERB
cana-4545	49	37	a	a	DET
cana-4545	49	38	more	more	ADV
cana-4545	49	39	accurate	accurate	ADJ
cana-4545	49	40	and	and	CCONJ
cana-4545	49	41	robust	robust	ADJ
cana-4545	49	42	hospital	hospital	NOUN
cana-4545	49	43	selection	selection	NOUN
cana-4545	49	44	process	process	NOUN
cana-4545	49	45	.	.	PUNCT
cana-4545	50	1	neutrosophic	neutrosophic	ADJ
cana-4545	50	2	set	set	PROPN
cana-4545	50	3	theory	theory	NOUN
cana-4545	50	4	offers	offer	VERB
cana-4545	50	5	a	a	DET
cana-4545	50	6	flexible	flexible	ADJ
cana-4545	50	7	and	and	CCONJ
cana-4545	50	8	powerful	powerful	ADJ
cana-4545	50	9	way	way	NOUN
cana-4545	50	10	to	to	PART
cana-4545	50	11	model	model	VERB
cana-4545	50	12	and	and	CCONJ
cana-4545	50	13	manage	manage	VERB
cana-4545	50	14	imprecision	imprecision	NOUN
cana-4545	50	15	,	,	PUNCT
cana-4545	50	16	inconsistency	inconsistency	NOUN
cana-4545	50	17	,	,	PUNCT
cana-4545	50	18	and	and	CCONJ
cana-4545	50	19	indeterminacy	indeterminacy	NOUN
cana-4545	50	20	in	in	ADP
cana-4545	50	21	hospital	hospital	NOUN
cana-4545	50	22	performance	performance	NOUN
cana-4545	50	23	data	datum	NOUN
cana-4545	50	24	.	.	PUNCT
cana-4545	51	1	the	the	DET
cana-4545	51	2	entropy	entropy	NOUN
cana-4545	51	3	weighting	weight	VERB
cana-4545	51	4	method	method	NOUN
cana-4545	51	5	is	be	AUX
cana-4545	51	6	introduced	introduce	VERB
cana-4545	51	7	to	to	PART
cana-4545	51	8	objectively	objectively	ADV
cana-4545	51	9	assign	assign	VERB
cana-4545	51	10	weights	weight	NOUN
cana-4545	51	11	to	to	ADP
cana-4545	51	12	different	different	ADJ
cana-4545	51	13	selection	selection	NOUN
cana-4545	51	14	criteria	criterion	NOUN
cana-4545	51	15	based	base	VERB
cana-4545	51	16	on	on	ADP
cana-4545	51	17	their	their	PRON
cana-4545	51	18	importance	importance	NOUN
cana-4545	51	19	,	,	PUNCT
cana-4545	51	20	ensuring	ensure	VERB
cana-4545	51	21	that	that	SCONJ
cana-4545	51	22	the	the	DET
cana-4545	51	23	decision	decision	NOUN
cana-4545	51	24	-	-	PUNCT
cana-4545	51	25	making	make	VERB
cana-4545	51	26	process	process	NOUN
cana-4545	51	27	aligns	align	VERB
cana-4545	51	28	with	with	ADP
cana-4545	51	29	real	real	ADJ
cana-4545	51	30	-	-	PUNCT
cana-4545	51	31	world	world	NOUN
cana-4545	51	32	priorities	priority	NOUN
cana-4545	51	33	.	.	PUNCT
cana-4545	52	1	finally	finally	ADV
cana-4545	52	2	,	,	PUNCT
cana-4545	52	3	the	the	DET
cana-4545	52	4	madm	madm	NOUN
cana-4545	52	5	technique	technique	NOUN
cana-4545	52	6	is	be	AUX
cana-4545	52	7	applied	apply	VERB
cana-4545	52	8	to	to	PART
cana-4545	52	9	evaluate	evaluate	VERB
cana-4545	52	10	and	and	CCONJ
cana-4545	52	11	rank	rank	NOUN
cana-4545	52	12	hospitals	hospital	NOUN
cana-4545	52	13	based	base	VERB
cana-4545	52	14	on	on	ADP
cana-4545	52	15	the	the	DET
cana-4545	52	16	aggregated	aggregate	VERB
cana-4545	52	17	performance	performance	NOUN
cana-4545	52	18	across	across	ADP
cana-4545	52	19	multiple	multiple	ADJ
cana-4545	52	20	dimensions	dimension	NOUN
cana-4545	52	21	.	.	PUNCT
cana-4545	53	1	this	this	DET
cana-4545	53	2	integrated	integrate	VERB
cana-4545	53	3	approach	approach	NOUN
cana-4545	53	4	is	be	AUX
cana-4545	53	5	designed	design	VERB
cana-4545	53	6	to	to	PART
cana-4545	53	7	provide	provide	VERB
cana-4545	53	8	healthcare	healthcare	NOUN
cana-4545	53	9	decision	decision	NOUN
cana-4545	53	10	-	-	PUNCT
cana-4545	53	11	makers	maker	NOUN
cana-4545	53	12	with	with	ADP
cana-4545	53	13	a	a	DET
cana-4545	53	14	reliable	reliable	ADJ
cana-4545	53	15	tool	tool	NOUN
cana-4545	53	16	for	for	ADP
cana-4545	53	17	choosing	choose	VERB
cana-4545	53	18	the	the	DET
cana-4545	53	19	best	good	ADJ
cana-4545	53	20	hospital	hospital	NOUN
cana-4545	53	21	,	,	PUNCT
cana-4545	53	22	offering	offer	VERB
cana-4545	53	23	a	a	DET
cana-4545	53	24	more	more	ADV
cana-4545	53	25	comprehensive	comprehensive	ADJ
cana-4545	53	26	and	and	CCONJ
cana-4545	53	27	systematic	systematic	ADJ
cana-4545	53	28	analysis	analysis	NOUN
cana-4545	53	29	than	than	ADP
cana-4545	53	30	traditional	traditional	ADJ
cana-4545	53	31	methods	method	NOUN
cana-4545	53	32	.	.	PUNCT
cana-4545	54	1	the	the	DET
cana-4545	54	2	significance	significance	NOUN
cana-4545	54	3	of	of	ADP
cana-4545	54	4	this	this	DET
cana-4545	54	5	approach	approach	NOUN
cana-4545	54	6	lies	lie	VERB
cana-4545	54	7	in	in	ADP
cana-4545	54	8	its	its	PRON
cana-4545	54	9	ability	ability	NOUN
cana-4545	54	10	to	to	PART
cana-4545	54	11	combine	combine	VERB
cana-4545	54	12	theoretical	theoretical	ADJ
cana-4545	54	13	robustness	robustness	NOUN
cana-4545	54	14	with	with	ADP
cana-4545	54	15	practical	practical	ADJ
cana-4545	54	16	applicability	applicability	NOUN
cana-4545	54	17	,	,	PUNCT
cana-4545	54	18	addressing	address	VERB
cana-4545	54	19	key	key	ADJ
cana-4545	54	20	limitations	limitation	NOUN
cana-4545	54	21	of	of	ADP
cana-4545	54	22	existing	exist	VERB
cana-4545	54	23	methods	method	NOUN
cana-4545	54	24	in	in	ADP
cana-4545	54	25	hospital	hospital	NOUN
cana-4545	54	26	selection	selection	NOUN
cana-4545	54	27	.	.	PUNCT
cana-4545	55	1	by	by	ADP
cana-4545	55	2	incorporating	incorporate	VERB
cana-4545	55	3	these	these	DET
cana-4545	55	4	advanced	advanced	ADJ
cana-4545	55	5	techniques	technique	NOUN
cana-4545	55	6	,	,	PUNCT
cana-4545	55	7	we	we	PRON
cana-4545	55	8	aim	aim	VERB
cana-4545	55	9	to	to	PART
cana-4545	55	10	deliver	deliver	VERB
cana-4545	55	11	a	a	DET
cana-4545	55	12	framework	framework	NOUN
cana-4545	55	13	that	that	PRON
cana-4545	55	14	can	can	AUX
cana-4545	55	15	be	be	AUX
cana-4545	55	16	applied	apply	VERB
cana-4545	55	17	to	to	ADP
cana-4545	55	18	various	various	ADJ
cana-4545	55	19	healthcare	healthcare	NOUN
cana-4545	55	20	settings	setting	NOUN
cana-4545	55	21	,	,	PUNCT
cana-4545	55	22	ensuring	ensure	VERB
cana-4545	55	23	that	that	SCONJ
cana-4545	55	24	patients	patient	NOUN
cana-4545	55	25	and	and	CCONJ
cana-4545	55	26	stakeholders	stakeholder	NOUN
cana-4545	55	27	make	make	VERB
cana-4545	55	28	well	well	ADV
cana-4545	55	29	-	-	PUNCT
cana-4545	55	30	informed	inform	VERB
cana-4545	55	31	decisions	decision	NOUN
cana-4545	55	32	in	in	ADP
cana-4545	55	33	selecting	select	VERB
cana-4545	55	34	healthcare	healthcare	NOUN
cana-4545	55	35	providers	provider	NOUN
cana-4545	55	36	.	.	PUNCT
cana-4545	56	1	entropy	entropy	PROPN
cana-4545	56	2	weight	weight	NOUN
cana-4545	56	3	method	method	NOUN
cana-4545	56	4	:	:	PUNCT
cana-4545	56	5	the	the	DET
cana-4545	56	6	entropy	entropy	NOUN
cana-4545	56	7	weight	weight	NOUN
cana-4545	56	8	method	method	NOUN
cana-4545	56	9	is	be	AUX
cana-4545	56	10	a	a	DET
cana-4545	56	11	well	well	ADV
cana-4545	56	12	-	-	PUNCT
cana-4545	56	13	established	establish	VERB
cana-4545	56	14	technique	technique	NOUN
cana-4545	56	15	used	use	VERB
cana-4545	56	16	to	to	PART
cana-4545	56	17	assign	assign	VERB
cana-4545	56	18	weights	weight	NOUN
cana-4545	56	19	to	to	ADP
cana-4545	56	20	different	different	ADJ
cana-4545	56	21	criteria	criterion	NOUN
cana-4545	56	22	based	base	VERB
cana-4545	56	23	on	on	ADP
cana-4545	56	24	their	their	PRON
cana-4545	56	25	level	level	NOUN
cana-4545	56	26	of	of	ADP
cana-4545	56	27	information	information	NOUN
cana-4545	56	28	or	or	CCONJ
cana-4545	56	29	uncertainty	uncertainty	NOUN
cana-4545	56	30	.	.	PUNCT
cana-4545	57	1	the	the	DET
cana-4545	57	2	concept	concept	NOUN
cana-4545	57	3	of	of	ADP
cana-4545	57	4	entropy	entropy	PROPN
cana-4545	57	5	comes	come	VERB
cana-4545	57	6	from	from	ADP
cana-4545	57	7	information	information	NOUN
cana-4545	57	8	theory	theory	NOUN
cana-4545	57	9	and	and	CCONJ
cana-4545	57	10	measures	measure	NOUN
cana-4545	57	11	the	the	DET
cana-4545	57	12	level	level	NOUN
cana-4545	57	13	of	of	ADP
cana-4545	57	14	disorder	disorder	NOUN
cana-4545	57	15	or	or	CCONJ
cana-4545	57	16	uncertainty	uncertainty	NOUN
cana-4545	57	17	in	in	ADP
cana-4545	57	18	a	a	DET
cana-4545	57	19	system	system	NOUN
cana-4545	57	20	.	.	PUNCT
cana-4545	58	1	in	in	ADP
cana-4545	58	2	the	the	DET
cana-4545	58	3	entropy	entropy	NOUN
cana-4545	58	4	weighting	weighting	NOUN
cana-4545	58	5	method	method	NOUN
cana-4545	58	6	,	,	PUNCT
cana-4545	58	7	the	the	DET
cana-4545	58	8	entropy	entropy	NOUN
cana-4545	58	9	of	of	ADP
cana-4545	58	10	each	each	DET
cana-4545	58	11	criterion	criterion	NOUN
cana-4545	58	12	is	be	AUX
cana-4545	58	13	computed	compute	VERB
cana-4545	58	14	,	,	PUNCT
cana-4545	58	15	and	and	CCONJ
cana-4545	58	16	the	the	DET
cana-4545	58	17	weights	weight	NOUN
cana-4545	58	18	are	be	AUX
cana-4545	58	19	assigned	assign	VERB
cana-4545	58	20	inversely	inversely	ADV
cana-4545	58	21	proportional	proportional	ADJ
cana-4545	58	22	to	to	ADP
cana-4545	58	23	the	the	DET
cana-4545	58	24	entropy	entropy	NOUN
cana-4545	58	25	values	value	NOUN
cana-4545	58	26	.	.	PUNCT
cana-4545	59	1	criteria	criterion	NOUN
cana-4545	59	2	with	with	ADP
cana-4545	59	3	higher	high	ADJ
cana-4545	59	4	uncertainty	uncertainty	NOUN
cana-4545	59	5	or	or	CCONJ
cana-4545	59	6	variability	variability	NOUN
cana-4545	59	7	are	be	AUX
cana-4545	59	8	assigned	assign	VERB
cana-4545	59	9	lower	low	ADJ
cana-4545	59	10	weights	weight	NOUN
cana-4545	59	11	,	,	PUNCT
cana-4545	59	12	while	while	SCONJ
cana-4545	59	13	those	those	PRON
cana-4545	59	14	with	with	ADP
cana-4545	59	15	more	more	ADV
cana-4545	59	16	stable	stable	ADJ
cana-4545	59	17	or	or	CCONJ
cana-4545	59	18	consistent	consistent	ADJ
cana-4545	59	19	data	datum	NOUN
cana-4545	59	20	receive	receive	VERB
cana-4545	59	21	higher	high	ADJ
cana-4545	59	22	weights	weight	NOUN
cana-4545	59	23	.	.	PUNCT
cana-4545	60	1	this	this	DET
cana-4545	60	2	method	method	NOUN
cana-4545	60	3	is	be	AUX
cana-4545	60	4	particularly	particularly	ADV
cana-4545	60	5	useful	useful	ADJ
cana-4545	60	6	for	for	ADP
cana-4545	60	7	ensuring	ensure	VERB
cana-4545	60	8	that	that	SCONJ
cana-4545	60	9	the	the	DET
cana-4545	60	10	most	most	ADV
cana-4545	60	11	informative	informative	ADJ
cana-4545	60	12	and	and	CCONJ
cana-4545	60	13	significant	significant	ADJ
cana-4545	60	14	criteria	criterion	NOUN
cana-4545	60	15	are	be	AUX
cana-4545	60	16	given	give	VERB
cana-4545	60	17	more	more	ADJ
cana-4545	60	18	emphasis	emphasis	NOUN
cana-4545	60	19	in	in	ADP
cana-4545	60	20	the	the	DET
cana-4545	60	21	decisionmaking	decisionmake	VERB
cana-4545	60	22	process	process	NOUN
cana-4545	60	23	.	.	PUNCT
cana-4545	61	1	multi	multi	ADJ
cana-4545	61	2	-	-	ADJ
cana-4545	61	3	attribute	attribute	NOUN
cana-4545	61	4	decision	decision	NOUN
cana-4545	61	5	-	-	PUNCT
cana-4545	61	6	making	making	NOUN
cana-4545	61	7	(	(	PUNCT
cana-4545	61	8	madm	madm	NOUN
cana-4545	61	9	)	)	PUNCT
cana-4545	61	10	methods	method	NOUN
cana-4545	61	11	:	:	PUNCT
cana-4545	61	12	a	a	DET
cana-4545	61	13	collection	collection	NOUN
cana-4545	61	14	of	of	ADP
cana-4545	61	15	decision	decision	NOUN
cana-4545	61	16	-	-	PUNCT
cana-4545	61	17	making	make	VERB
cana-4545	61	18	strategies	strategy	NOUN
cana-4545	61	19	known	know	VERB
cana-4545	61	20	as	as	ADP
cana-4545	61	21	madm	madm	NOUN
cana-4545	61	22	approaches	approach	NOUN
cana-4545	61	23	seeks	seek	VERB
cana-4545	61	24	to	to	PART
cana-4545	61	25	assess	assess	VERB
cana-4545	61	26	options	option	NOUN
cana-4545	61	27	according	accord	VERB
cana-4545	61	28	to	to	ADP
cana-4545	61	29	a	a	DET
cana-4545	61	30	number	number	NOUN
cana-4545	61	31	of	of	ADP
cana-4545	61	32	factors	factor	NOUN
cana-4545	61	33	.	.	PUNCT
cana-4545	62	1	these	these	DET
cana-4545	62	2	techniques	technique	NOUN
cana-4545	62	3	are	be	AUX
cana-4545	62	4	especially	especially	ADV
cana-4545	62	5	helpful	helpful	ADJ
cana-4545	62	6	when	when	SCONJ
cana-4545	62	7	decision	decision	NOUN
cana-4545	62	8	-	-	PUNCT
cana-4545	62	9	makers	maker	NOUN
cana-4545	62	10	are	be	AUX
cana-4545	62	11	faced	face	VERB
cana-4545	62	12	with	with	ADP
cana-4545	62	13	a	a	DET
cana-4545	62	14	range	range	NOUN
cana-4545	62	15	of	of	ADP
cana-4545	62	16	options	option	NOUN
cana-4545	62	17	,	,	PUNCT
cana-4545	62	18	each	each	PRON
cana-4545	62	19	of	of	ADP
cana-4545	62	20	which	which	PRON
cana-4545	62	21	performs	perform	VERB
cana-4545	62	22	differently	differently	ADV
cana-4545	62	23	across	across	ADP
cana-4545	62	24	a	a	DET
cana-4545	62	25	number	number	NOUN
cana-4545	62	26	of	of	ADP
cana-4545	62	27	qualities	quality	NOUN
cana-4545	62	28	.	.	PUNCT
cana-4545	63	1	among	among	ADP
cana-4545	63	2	the	the	DET
cana-4545	63	3	popular	popular	ADJ
cana-4545	63	4	madm	madm	NOUN
cana-4545	63	5	techniques	technique	NOUN
cana-4545	63	6	are	be	AUX
cana-4545	63	7	the	the	DET
cana-4545	63	8	analytical	analytical	ADJ
cana-4545	63	9	hierarchy	hierarchy	NOUN
cana-4545	63	10	process	process	NOUN
cana-4545	63	11	(	(	PUNCT
cana-4545	63	12	ahp	ahp	NOUN
cana-4545	63	13	)	)	PUNCT
cana-4545	63	14	,	,	PUNCT
cana-4545	63	15	the	the	DET
cana-4545	63	16	weighted	weight	VERB
cana-4545	63	17	sum	sum	NOUN
cana-4545	63	18	model	model	NOUN
cana-4545	63	19	(	(	PUNCT
cana-4545	63	20	wsm	wsm	NOUN
cana-4545	63	21	)	)	PUNCT
cana-4545	63	22	,	,	PUNCT
cana-4545	63	23	and	and	CCONJ
cana-4545	63	24	the	the	DET
cana-4545	63	25	weighted	weight	VERB
cana-4545	63	26	product	product	NOUN
cana-4545	63	27	model	model	NOUN
cana-4545	63	28	(	(	PUNCT
cana-4545	63	29	wpm	wpm	NOUN
cana-4545	63	30	)	)	PUNCT
cana-4545	63	31	.	.	PUNCT
cana-4545	64	1	using	use	VERB
cana-4545	64	2	entropy	entropy	NOUN
cana-4545	64	3	-	-	PUNCT
cana-4545	64	4	based	base	VERB
cana-4545	64	5	weights	weight	NOUN
cana-4545	64	6	and	and	CCONJ
cana-4545	64	7	neutrosophic	neutrosophic	ADJ
cana-4545	64	8	set	set	VERB
cana-4545	64	9	representations	representation	NOUN
cana-4545	64	10	,	,	PUNCT
cana-4545	64	11	we	we	PRON
cana-4545	64	12	employ	employ	VERB
cana-4545	64	13	a	a	DET
cana-4545	64	14	madm	madm	NOUN
cana-4545	64	15	technique	technique	NOUN
cana-4545	64	16	in	in	ADP
cana-4545	64	17	this	this	DET
cana-4545	64	18	study	study	NOUN
cana-4545	64	19	to	to	PART
cana-4545	64	20	aggregate	aggregate	VERB
cana-4545	64	21	hospital	hospital	NOUN
cana-4545	64	22	performance	performance	NOUN
cana-4545	64	23	across	across	ADP
cana-4545	64	24	multiple	multiple	ADJ
cana-4545	64	25	parameters	parameter	NOUN
cana-4545	64	26	,	,	PUNCT
cana-4545	64	27	offering	offer	VERB
cana-4545	64	28	a	a	DET
cana-4545	64	29	thorough	thorough	ADJ
cana-4545	64	30	assessment	assessment	NOUN
cana-4545	64	31	and	and	CCONJ
cana-4545	64	32	ranking	ranking	NOUN
cana-4545	64	33	of	of	ADP
cana-4545	64	34	options	option	NOUN
cana-4545	64	35	.	.	PUNCT
cana-4545	65	1	together	together	ADV
cana-4545	65	2	,	,	PUNCT
cana-4545	65	3	these	these	DET
cana-4545	65	4	techniques	technique	NOUN
cana-4545	65	5	create	create	VERB
cana-4545	65	6	a	a	DET
cana-4545	65	7	robust	robust	ADJ
cana-4545	65	8	decision	decision	NOUN
cana-4545	65	9	-	-	PUNCT
cana-4545	65	10	making	make	VERB
cana-4545	65	11	framework	framework	NOUN
cana-4545	65	12	that	that	PRON
cana-4545	65	13	is	be	AUX
cana-4545	65	14	capable	capable	ADJ
cana-4545	65	15	of	of	ADP
cana-4545	65	16	handling	handle	VERB
cana-4545	65	17	the	the	DET
cana-4545	65	18	uncertainty	uncertainty	NOUN
cana-4545	65	19	,	,	PUNCT
cana-4545	65	20	imprecision	imprecision	NOUN
cana-4545	65	21	,	,	PUNCT
cana-4545	65	22	and	and	CCONJ
cana-4545	65	23	complexity	complexity	NOUN
cana-4545	65	24	inherent	inherent	ADJ
cana-4545	65	25	in	in	ADP
cana-4545	65	26	hospital	hospital	NOUN
cana-4545	65	27	selection	selection	NOUN
cana-4545	65	28	,	,	PUNCT
cana-4545	65	29	while	while	SCONJ
cana-4545	65	30	offering	offer	VERB
cana-4545	65	31	a	a	DET
cana-4545	65	32	systematic	systematic	ADJ
cana-4545	65	33	approach	approach	NOUN
cana-4545	65	34	to	to	PART
cana-4545	65	35	identify	identify	VERB
cana-4545	65	36	the	the	DET
cana-4545	65	37	best	good	ADJ
cana-4545	65	38	hospital	hospital	NOUN
cana-4545	65	39	based	base	VERB
cana-4545	65	40	on	on	ADP
cana-4545	65	41	a	a	DET
cana-4545	65	42	set	set	NOUN
cana-4545	65	43	of	of	ADP
cana-4545	65	44	predefined	predefine	VERB
cana-4545	65	45	criteria	criterion	NOUN
cana-4545	65	46	.	.	PUNCT
cana-4545	66	1	definition	definition	NOUN
cana-4545	66	2	1.1.1	1.1.1	NUM
cana-4545	66	3	.	.	PUNCT
cana-4545	67	1	in	in	ADP
cana-4545	67	2	1998	1998	NUM
cana-4545	67	3	,	,	PUNCT
cana-4545	67	4	smarandache	smarandache	NOUN
cana-4545	67	5	published	publish	VERB
cana-4545	67	6	the	the	DET
cana-4545	67	7	single	single	ADV
cana-4545	67	8	-	-	PUNCT
cana-4545	67	9	valued	value	VERB
cana-4545	67	10	neutrosophic	neutrosophic	ADJ
cana-4545	67	11	set	set	NOUN
cana-4545	67	12	(	(	PUNCT
cana-4545	67	13	ns	ns	NUM
cana-4545	67	14	)	)	PUNCT
cana-4545	68	1	[	[	X
cana-4545	68	2	38	38	NUM
cana-4545	68	3	,	,	PUNCT
cana-4545	68	4	39	39	NUM
cana-4545	68	5	,	,	PUNCT
cana-4545	68	6	40	40	NUM
cana-4545	68	7	]	]	PUNCT
cana-4545	68	8	.	.	PUNCT
cana-4545	69	1	assume	assume	VERB
cana-4545	69	2	that	that	SCONJ
cana-4545	69	3	u	u	PRON
cana-4545	69	4	is	be	AUX
cana-4545	69	5	a	a	DET
cana-4545	69	6	discourse	discourse	NOUN
cana-4545	69	7	universe	universe	NOUN
cana-4545	69	8	and	and	CCONJ
cana-4545	69	9	that	that	SCONJ
cana-4545	69	10	ans⸦u	ans⸦u	PROPN
cana-4545	69	11	.	.	PUNCT
cana-4545	70	1	then	then	ADV
cana-4545	70	2	,	,	PUNCT
cana-4545	70	3	ans=	ans=	PROPN
cana-4545	70	4	{	{	PUNCT
cana-4545	70	5	<	<	X
cana-4545	70	6	x	x	X
cana-4545	70	7	,	,	PUNCT
cana-4545	70	8	𝒯a(x	𝒯a(x	NOUN
cana-4545	70	9	)	)	PUNCT
cana-4545	70	10	)	)	PUNCT
cana-4545	70	11	,	,	PUNCT
cana-4545	70	12	ℐa(x	ℐa(x	NOUN
cana-4545	70	13	)	)	PUNCT
cana-4545	70	14	,	,	PUNCT
cana-4545	70	15	ℱa(x)>|	ℱa(x)>|	PROPN
cana-4545	70	16	communications	communication	NOUN
cana-4545	70	17	on	on	ADP
cana-4545	70	18	applied	apply	VERB
cana-4545	70	19	nonlinear	nonlinear	ADJ
cana-4545	70	20	analysis	analysis	NOUN
cana-4545	70	21	issn	issn	NOUN
cana-4545	70	22	:	:	PUNCT
cana-4545	70	23	1074	1074	NUM
cana-4545	70	24	-	-	PUNCT
cana-4545	70	25	133x	133x	NUM
cana-4545	70	26	vol	vol	NOUN
cana-4545	70	27	32	32	NUM
cana-4545	70	28	no	no	NOUN
cana-4545	70	29	.	.	PUNCT
cana-4545	71	1	9s	9s	NUM
cana-4545	71	2	(	(	PUNCT
cana-4545	71	3	2025	2025	NUM
cana-4545	71	4	)	)	PUNCT
cana-4545	71	5	2638	2638	NUM
cana-4545	71	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	71	7	x	x	SYM
cana-4545	71	8	∊	∊	NUM
cana-4545	71	9	u	u	NOUN
cana-4545	71	10	}	}	PUNCT
cana-4545	71	11	,	,	PUNCT
cana-4545	71	12	where	where	SCONJ
cana-4545	71	13	𝒯a(x	𝒯a(x	NOUN
cana-4545	71	14	)	)	PUNCT
cana-4545	71	15	,	,	PUNCT
cana-4545	71	16	ℐa(x	ℐa(x	NOUN
cana-4545	71	17	)	)	PUNCT
cana-4545	71	18	and	and	CCONJ
cana-4545	71	19	ℱa(x	ℱa(x	NOUN
cana-4545	71	20	):	):	PUNCT
cana-4545	71	21	u	u	NOUN
cana-4545	71	22	→	→	SYM
cana-4545	71	23	[	[	X
cana-4545	71	24	0	0	NUM
cana-4545	71	25	,	,	PUNCT
cana-4545	71	26	1	1	NUM
cana-4545	71	27	]	]	PUNCT
cana-4545	71	28	stand	stand	VERB
cana-4545	71	29	for	for	ADP
cana-4545	71	30	the	the	DET
cana-4545	71	31	degrees	degree	NOUN
cana-4545	71	32	of	of	ADP
cana-4545	71	33	membership	membership	NOUN
cana-4545	71	34	,	,	PUNCT
cana-4545	71	35	indeterminacy	indeterminacy	NOUN
cana-4545	71	36	,	,	PUNCT
cana-4545	71	37	and	and	CCONJ
cana-4545	71	38	non	non	ADJ
cana-4545	71	39	-	-	NOUN
cana-4545	71	40	membership	membership	NOUN
cana-4545	71	41	,	,	PUNCT
cana-4545	71	42	respectively	respectively	ADV
cana-4545	71	43	,	,	PUNCT
cana-4545	71	44	with	with	ADP
cana-4545	71	45	0	0	NUM
cana-4545	71	46	≤	≤	NUM
cana-4545	71	47	𝒯a(x	𝒯a(x	NOUN
cana-4545	71	48	)	)	PUNCT
cana-4545	71	49	(	(	PUNCT
cana-4545	71	50	x	x	X
cana-4545	71	51	)	)	PUNCT
cana-4545	71	52	+	+	CCONJ
cana-4545	71	53	ℐa(x	ℐa(x	NOUN
cana-4545	71	54	)	)	PUNCT
cana-4545	72	1	+	+	NUM
cana-4545	72	2	ℱa(x	ℱa(x	NOUN
cana-4545	72	3	)	)	PUNCT
cana-4545	72	4	≤	≤	NOUN
cana-4545	72	5	3	3	NUM
cana-4545	72	6	.	.	NOUN
cana-4545	72	7	2	2	NUM
cana-4545	72	8	.	.	X
cana-4545	73	1	operators	operator	NOUN
cana-4545	73	2	in	in	ADP
cana-4545	73	3	neutrosophic	neutrosophic	ADJ
cana-4545	73	4	sets	set	NOUN
cana-4545	73	5	definition	definition	NOUN
cana-4545	73	6	2.1	2.1	NUM
cana-4545	73	7	:	:	PUNCT
cana-4545	73	8	let	let	VERB
cana-4545	73	9	𝛾	𝛾	VERB
cana-4545	73	10	,	,	PUNCT
cana-4545	73	11	𝛿	𝛿	ADJ
cana-4545	73	12	are	be	AUX
cana-4545	73	13	two	two	NUM
cana-4545	73	14	nss	ns	NOUN
cana-4545	73	15	.	.	PUNCT
cana-4545	74	1	then	then	ADV
cana-4545	74	2	operational	operational	ADJ
cana-4545	74	3	relations	relation	NOUN
cana-4545	74	4	are	be	AUX
cana-4545	74	5	defined	define	VERB
cana-4545	74	6	as	as	ADP
cana-4545	74	7	,	,	PUNCT
cana-4545	74	8	1	1	NUM
cana-4545	74	9	.	.	PUNCT
cana-4545	75	1	𝛾𝛿	𝛾𝛿	PROPN
cana-4545	75	2	=	=	PUNCT
cana-4545	76	1	<	<	X
cana-4545	76	2	𝒯𝛾(𝑥	𝒯𝛾(𝑥	PROPN
cana-4545	76	3	)	)	PUNCT
cana-4545	77	1	+	+	CCONJ
cana-4545	77	2	𝒯𝛿(𝑧	𝒯𝛿(𝑧	NOUN
cana-4545	77	3	)	)	PUNCT
cana-4545	77	4	𝒯𝛾(𝑥	𝒯𝛾(𝑥	NOUN
cana-4545	77	5	)	)	PUNCT
cana-4545	77	6	.	.	PUNCT
cana-4545	78	1	𝒯𝛿(𝑧	𝒯𝛿(𝑧	NOUN
cana-4545	78	2	)	)	PUNCT
cana-4545	78	3	,	,	PUNCT
cana-4545	78	4	ℐ𝛾(𝑥	ℐ𝛾(𝑥	NOUN
cana-4545	78	5	)	)	PUNCT
cana-4545	78	6	.	.	PUNCT
cana-4545	79	1	ℐ𝛿(𝑧	ℐ𝛿(𝑧	NOUN
cana-4545	79	2	)	)	PUNCT
cana-4545	79	3	,	,	PUNCT
cana-4545	79	4	ℱ𝛾(𝑥	ℱ𝛾(𝑥	NUM
cana-4545	79	5	)	)	PUNCT
cana-4545	79	6	.	.	PUNCT
cana-4545	80	1	ℱ𝛿(𝑧	ℱ𝛿(𝑧	X
cana-4545	80	2	)	)	PUNCT
cana-4545	80	3	>	>	PUNCT
cana-4545	80	4	.	.	PUNCT
cana-4545	81	1	2	2	X
cana-4545	81	2	.	.	X
cana-4545	81	3	𝛾𝛿	𝛾𝛿	NOUN
cana-4545	81	4	=	=	NOUN
cana-4545	81	5	<	<	X
cana-4545	81	6	𝒯𝛾(𝑥	𝒯𝛾(𝑥	PROPN
cana-4545	81	7	)	)	PUNCT
cana-4545	81	8	.	.	PUNCT
cana-4545	82	1	𝒯𝛿(𝑧	𝒯𝛿(𝑧	NOUN
cana-4545	82	2	)	)	PUNCT
cana-4545	82	3	,	,	PUNCT
cana-4545	82	4	ℐ𝛾(𝑥	ℐ𝛾(𝑥	NOUN
cana-4545	82	5	)	)	PUNCT
cana-4545	82	6	+	+	NUM
cana-4545	82	7	ℐ𝛿(𝑧	ℐ𝛿(𝑧	SYM
cana-4545	82	8	)	)	PUNCT
cana-4545	82	9	−	−	PROPN
cana-4545	82	10	ℐ𝛾(𝑥	ℐ𝛾(𝑥	NOUN
cana-4545	82	11	)	)	PUNCT
cana-4545	82	12	.	.	PUNCT
cana-4545	83	1	ℐ𝛿(𝑧	ℐ𝛿(𝑧	NOUN
cana-4545	83	2	)	)	PUNCT
cana-4545	83	3	,	,	PUNCT
cana-4545	83	4	ℱ𝛾(𝑥	ℱ𝛾(𝑥	NUM
cana-4545	83	5	)	)	PUNCT
cana-4545	84	1	+	+	NUM
cana-4545	84	2	ℱ𝛿(𝑧	ℱ𝛿(𝑧	X
cana-4545	84	3	)	)	PUNCT
cana-4545	84	4	−	−	PROPN
cana-4545	85	1	ℱ𝛾(𝑥	ℱ𝛾(𝑥	NUM
cana-4545	85	2	)	)	PUNCT
cana-4545	85	3	.	.	PUNCT
cana-4545	86	1	ℱ𝛿(𝑧	ℱ𝛿(𝑧	X
cana-4545	86	2	)	)	PUNCT
cana-4545	86	3	>	>	X
cana-4545	87	1	3	3	X
cana-4545	87	2	.	.	PUNCT
cana-4545	87	3			ADJ
cana-4545	87	4	.	.	PUNCT
cana-4545	88	1	𝛾	𝛾	X
cana-4545	89	1	=	=	PUNCT
cana-4545	89	2	<	<	X
cana-4545	89	3	1	1	NUM
cana-4545	89	4	−	−	NOUN
cana-4545	89	5	(	(	PUNCT
cana-4545	89	6	1	1	NUM
cana-4545	89	7	−	−	PROPN
cana-4545	89	8	𝒯𝛾(𝑥	𝒯𝛾(𝑥	NOUN
cana-4545	89	9	)	)	PUNCT
cana-4545	89	10	)	)	PUNCT
cana-4545	89	11			X
cana-4545	89	12	,	,	PUNCT
cana-4545	89	13	(	(	PUNCT
cana-4545	89	14	ℐ𝛾(𝑥	ℐ𝛾(𝑥	NOUN
cana-4545	89	15	)	)	PUNCT
cana-4545	89	16	)	)	PUNCT
cana-4545	89	17			X
cana-4545	89	18	,	,	PUNCT
cana-4545	89	19	(	(	PUNCT
cana-4545	89	20	ℱ𝛾(𝑥	ℱ𝛾(𝑥	NOUN
cana-4545	89	21	)	)	PUNCT
cana-4545	89	22	)	)	PUNCT
cana-4545	89	23			X
cana-4545	89	24	>	>	X
cana-4545	89	25	,	,	PUNCT
cana-4545	89	26	where	where	SCONJ
cana-4545	89	27			X
cana-4545	89	28	>	>	X
cana-4545	89	29	0	0	NUM
cana-4545	89	30	.	.	NOUN
cana-4545	89	31	4	4	NUM
cana-4545	89	32	.	.	X
cana-4545	89	33	𝛾	𝛾	ADP
cana-4545	89	34			ADJ
cana-4545	89	35	=	=	SYM
cana-4545	89	36	<	<	X
cana-4545	89	37	(	(	PUNCT
cana-4545	89	38	𝒯𝛾(𝑥))	𝒯𝛾(𝑥))	X
cana-4545	89	39	,	,	PUNCT
cana-4545	89	40	1	1	NUM
cana-4545	89	41	−	−	PROPN
cana-4545	89	42	(	(	PUNCT
cana-4545	89	43	1	1	NUM
cana-4545	89	44	−	−	PROPN
cana-4545	89	45	ℐ𝛾(𝑥))	ℐ𝛾(𝑥))	NOUN
cana-4545	89	46	,	,	PUNCT
cana-4545	89	47	1	1	NUM
cana-4545	89	48	−	−	PROPN
cana-4545	89	49	(	(	PUNCT
cana-4545	89	50	1	1	NUM
cana-4545	89	51	−	−	NOUN
cana-4545	89	52	ℱ𝛾(𝑧	ℱ𝛾(𝑧	NUM
cana-4545	89	53	)	)	PUNCT
cana-4545	89	54	)	)	PUNCT
cana-4545	89	55			X
cana-4545	89	56	>	>	X
cana-4545	89	57	,	,	PUNCT
cana-4545	89	58	where	where	SCONJ
cana-4545	89	59			X
cana-4545	89	60	>	>	X
cana-4545	89	61	0	0	X
cana-4545	89	62	.	.	PUNCT
cana-4545	89	63	theorem	theorem	VERB
cana-4545	89	64	2.2	2.2	NUM
cana-4545	89	65	:	:	PUNCT
cana-4545	89	66	let	let	VERB
cana-4545	89	67	𝛾𝑖	𝛾𝑖	ADV
cana-4545	89	68	=	=	NOUN
cana-4545	89	69	(	(	PUNCT
cana-4545	89	70	𝒯𝛾(𝑥𝑖	𝒯𝛾(𝑥𝑖	VERB
cana-4545	89	71	)	)	PUNCT
cana-4545	89	72	,	,	PUNCT
cana-4545	89	73	ℐ𝛾(𝑥𝑖	ℐ𝛾(𝑥𝑖	VERB
cana-4545	89	74	)	)	PUNCT
cana-4545	89	75	,	,	PUNCT
cana-4545	89	76	ℱ𝛾(𝑥𝑖	ℱ𝛾(𝑥𝑖	PROPN
cana-4545	89	77	)	)	PUNCT
cana-4545	89	78	)	)	PUNCT
cana-4545	89	79	,	,	PUNCT
cana-4545	89	80	𝑖	𝑖	X
cana-4545	90	1	=	=	NOUN
cana-4545	90	2	1,2,3	1,2,3	NUM
cana-4545	90	3	.	.	PUNCT
cana-4545	90	4	.	.	PUNCT
cana-4545	90	5	.	.	PUNCT
cana-4545	91	1	.	.	PUNCT
cana-4545	92	1	𝑛	𝑛	PRON
cana-4545	92	2	be	be	AUX
cana-4545	92	3	a	a	DET
cana-4545	92	4	collection	collection	NOUN
cana-4545	92	5	of	of	ADP
cana-4545	92	6	ns	ns	NUM
cana-4545	92	7	,	,	PUNCT
cana-4545	92	8	then	then	ADV
cana-4545	92	9	neutrosophic	neutrosophic	PROPN
cana-4545	92	10	weighted	weight	VERB
cana-4545	92	11	aggregation	aggregation	NOUN
cana-4545	92	12	(	(	PUNCT
cana-4545	92	13	nwa	nwa	PROPN
cana-4545	92	14	)	)	PUNCT
cana-4545	92	15	operator	operator	NOUN
cana-4545	92	16	value	value	NOUN
cana-4545	92	17	is	be	AUX
cana-4545	92	18	also	also	ADV
cana-4545	92	19	a	a	DET
cana-4545	92	20	ns	ns	ADJ
cana-4545	92	21	and	and	CCONJ
cana-4545	92	22	𝑁𝑆wa(𝛾1	𝑁𝑆wa(𝛾1	NOUN
cana-4545	92	23	,	,	PUNCT
cana-4545	92	24	𝛾2	𝛾2	NOUN
cana-4545	92	25	,	,	PUNCT
cana-4545	92	26	𝛾3	𝛾3	NOUN
cana-4545	92	27	.	.	PUNCT
cana-4545	92	28	.	.	PUNCT
cana-4545	92	29	.	.	PUNCT
cana-4545	93	1	𝛾𝑛	𝛾𝑛	X
cana-4545	93	2	)	)	PUNCT
cana-4545	93	3	=	=	SYM
cana-4545	94	1	(	(	PUNCT
cana-4545	94	2	1	1	NUM
cana-4545	94	3	−	−	PROPN
cana-4545	94	4	∏	∏	NUM
cana-4545	94	5	(	(	PUNCT
cana-4545	94	6	1	1	NUM
cana-4545	94	7	−	−	NUM
cana-4545	94	8	𝒯𝛾(𝑥𝑖	𝒯𝛾(𝑥𝑖	VERB
cana-4545	94	9	)	)	PUNCT
cana-4545	94	10	)	)	PUNCT
cana-4545	94	11	𝑤𝑗	𝑤𝑗	ADV
cana-4545	94	12	,	,	PUNCT
cana-4545	94	13	𝑛	𝑛	ADP
cana-4545	94	14	𝑖,𝑗=1	𝑖,𝑗=1	ADJ
cana-4545	94	15	∏	∏	PROPN
cana-4545	94	16	(	(	PUNCT
cana-4545	94	17	ℐ𝛾(𝑥𝑖	ℐ𝛾(𝑥𝑖	NUM
cana-4545	94	18	)	)	PUNCT
cana-4545	94	19	)	)	PUNCT
cana-4545	94	20	𝑤𝑗	𝑤𝑗	ADV
cana-4545	94	21	,	,	PUNCT
cana-4545	94	22	𝑛	𝑛	PROPN
cana-4545	94	23	𝑖,𝑗=1	𝑖,𝑗=1	ADJ
cana-4545	94	24	∏	∏	PROPN
cana-4545	94	25	(	(	PUNCT
cana-4545	94	26	ℱ𝛾(𝑥𝑖	ℱ𝛾(𝑥𝑖	PROPN
cana-4545	94	27	)	)	PUNCT
cana-4545	94	28	)	)	PUNCT
cana-4545	94	29	𝑤𝑗𝑛	𝑤𝑗𝑛	NOUN
cana-4545	94	30	𝑖,𝑗=1	𝑖,𝑗=1	NUM
cana-4545	94	31	)	)	PUNCT
cana-4545	94	32	…	…	PUNCT
cana-4545	94	33	…	…	PUNCT
cana-4545	94	34	…	…	SYM
cana-4545	94	35	……	……	NOUN
cana-4545	94	36	..	..	PUNCT
cana-4545	94	37	(	(	PUNCT
cana-4545	94	38	1	1	X
cana-4545	94	39	)	)	PUNCT
cana-4545	94	40	where	where	SCONJ
cana-4545	94	41	𝑤	𝑤	ADP
cana-4545	94	42	=	=	SYM
cana-4545	94	43	(	(	PUNCT
cana-4545	94	44	𝑤1	𝑤1	PROPN
cana-4545	94	45	,	,	PUNCT
cana-4545	94	46	𝑤2	𝑤2	NOUN
cana-4545	94	47	,	,	PUNCT
cana-4545	94	48	𝑤3	𝑤3	PROPN
cana-4545	94	49	,	,	PUNCT
cana-4545	94	50	…	…	PUNCT
cana-4545	94	51	𝑤𝑛	𝑤𝑛	X
cana-4545	94	52	)	)	PUNCT
cana-4545	94	53	𝑇	𝑇	PROPN
cana-4545	94	54	be	be	VERB
cana-4545	94	55	the	the	DET
cana-4545	94	56	weight	weight	NOUN
cana-4545	94	57	vector	vector	NOUN
cana-4545	94	58	of	of	ADP
cana-4545	94	59	𝛾𝑗(𝑗	𝛾𝑗(𝑗	NOUN
cana-4545	94	60	=	=	NOUN
cana-4545	94	61	1,2,3	1,2,3	NUM
cana-4545	94	62	,	,	PUNCT
cana-4545	94	63	…	…	PUNCT
cana-4545	94	64	.	.	PUNCT
cana-4545	95	1	𝑛	𝑛	X
cana-4545	95	2	)	)	PUNCT
cana-4545	95	3	and	and	CCONJ
cana-4545	95	4	𝑤𝑗	𝑤𝑗	ADP
cana-4545	95	5	>	>	NUM
cana-4545	95	6	0	0	NUM
cana-4545	95	7	,	,	PUNCT
cana-4545	95	8	∑	∑	PUNCT
cana-4545	95	9	𝑤𝑗	𝑤𝑗	ADP
cana-4545	95	10	=	=	SYM
cana-4545	95	11	1.𝑛	1.𝑛	NUM
cana-4545	95	12	𝑗=1	𝑗=1	NOUN
cana-4545	95	13	proof	proof	NOUN
cana-4545	95	14	.	.	PUNCT
cana-4545	96	1	we	we	PRON
cana-4545	96	2	prove	prove	VERB
cana-4545	96	3	equation	equation	NOUN
cana-4545	96	4	(	(	PUNCT
cana-4545	96	5	1	1	NUM
cana-4545	96	6	)	)	PUNCT
cana-4545	96	7	by	by	ADP
cana-4545	96	8	mathematical	mathematical	ADJ
cana-4545	96	9	induction	induction	NOUN
cana-4545	96	10	on	on	ADP
cana-4545	96	11	n.	n.	PROPN
cana-4545	96	12	if	if	SCONJ
cana-4545	96	13	n	n	NOUN
cana-4545	96	14	=	=	SYM
cana-4545	96	15	2	2	NUM
cana-4545	96	16	,	,	PUNCT
cana-4545	96	17	then	then	ADV
cana-4545	96	18	we	we	PRON
cana-4545	96	19	have	have	AUX
cana-4545	96	20	𝑁wa(𝛾1	𝑁wa(𝛾1	NOUN
cana-4545	96	21	,	,	PUNCT
cana-4545	96	22	𝛾2	𝛾2	VERB
cana-4545	96	23	)	)	PUNCT
cana-4545	96	24	=	=	NOUN
cana-4545	96	25	𝑤1𝛾1𝑤2𝛾2	𝑤1𝛾1𝑤2𝛾2	NOUN
cana-4545	96	26	by	by	ADP
cana-4545	96	27	definition	definition	NOUN
cana-4545	96	28	2.1	2.1	NUM
cana-4545	96	29	,	,	PUNCT
cana-4545	96	30	we	we	PRON
cana-4545	96	31	can	can	AUX
cana-4545	96	32	see	see	VERB
cana-4545	96	33	that	that	SCONJ
cana-4545	96	34	both	both	DET
cana-4545	96	35	𝑤1𝛾1	𝑤1𝛾1	PROPN
cana-4545	96	36	𝑎𝑛𝑑	𝑎𝑛𝑑	X
cana-4545	96	37	𝑤2𝛾2	𝑤2𝛾2	X
cana-4545	96	38	are	be	AUX
cana-4545	96	39	ns	ns	ADJ
cana-4545	96	40	and	and	CCONJ
cana-4545	96	41	the	the	DET
cana-4545	96	42	value	value	NOUN
cana-4545	96	43	of	of	ADP
cana-4545	96	44	𝑤1𝛾1𝑤2𝛾2	𝑤1𝛾1𝑤2𝛾2	PROPN
cana-4545	96	45	is	be	AUX
cana-4545	96	46	also	also	ADV
cana-4545	96	47	a	a	DET
cana-4545	96	48	ns	ns	NOUN
cana-4545	96	49	.	.	PROPN
cana-4545	96	50	from	from	ADP
cana-4545	96	51	the	the	DET
cana-4545	96	52	operational	operational	ADJ
cana-4545	96	53	laws	law	NOUN
cana-4545	96	54	of	of	ADP
cana-4545	96	55	ns	ns	NUM
cana-4545	96	56	,	,	PUNCT
cana-4545	96	57	we	we	PRON
cana-4545	96	58	have	have	VERB
cana-4545	96	59	𝑤1𝛾1	𝑤1𝛾1	NOUN
cana-4545	96	60	=	=	X
cana-4545	96	61	(	(	PUNCT
cana-4545	96	62	1	1	NUM
cana-4545	96	63	−	−	PROPN
cana-4545	96	64	(	(	PUNCT
cana-4545	96	65	1	1	NUM
cana-4545	96	66	−	−	PROPN
cana-4545	96	67	𝒯𝛾(x1	𝒯𝛾(x1	PROPN
cana-4545	96	68	)	)	PUNCT
cana-4545	96	69	)	)	PUNCT
cana-4545	97	1	𝑤1	𝑤1	VERB
cana-4545	97	2	,	,	PUNCT
cana-4545	97	3	(	(	PUNCT
cana-4545	97	4	ℐ𝛾(x1	ℐ𝛾(x1	NOUN
cana-4545	97	5	)	)	PUNCT
cana-4545	97	6	)	)	PUNCT
cana-4545	98	1	𝑤1	𝑤1	VERB
cana-4545	98	2	,	,	PUNCT
cana-4545	98	3	(	(	PUNCT
cana-4545	98	4	ℱ𝛾(x1	ℱ𝛾(x1	NOUN
cana-4545	98	5	)	)	PUNCT
cana-4545	98	6	)	)	PUNCT
cana-4545	98	7	𝑤1	𝑤1	VERB
cana-4545	98	8	)	)	PUNCT
cana-4545	98	9	;	;	PUNCT
cana-4545	98	10	𝑤2𝛾2	𝑤2𝛾2	X
cana-4545	98	11	=	=	SYM
cana-4545	98	12	(	(	PUNCT
cana-4545	98	13	1	1	NUM
cana-4545	98	14	−	−	PROPN
cana-4545	98	15	(	(	PUNCT
cana-4545	98	16	1	1	NUM
cana-4545	98	17	−	−	PROPN
cana-4545	98	18	𝒯𝛾(x2	𝒯𝛾(x2	NOUN
cana-4545	98	19	)	)	PUNCT
cana-4545	98	20	)	)	PUNCT
cana-4545	98	21	𝑤2	𝑤2	NOUN
cana-4545	98	22	,	,	PUNCT
cana-4545	98	23	(	(	PUNCT
cana-4545	98	24	ℐ𝛾(x2	ℐ𝛾(x2	NOUN
cana-4545	98	25	)	)	PUNCT
cana-4545	98	26	)	)	PUNCT
cana-4545	98	27	𝑤2	𝑤2	NOUN
cana-4545	98	28	,	,	PUNCT
cana-4545	98	29	(	(	PUNCT
cana-4545	98	30	ℱ𝛾(x2	ℱ𝛾(x2	NOUN
cana-4545	98	31	)	)	PUNCT
cana-4545	98	32	)	)	PUNCT
cana-4545	98	33	𝑤2	𝑤2	NOUN
cana-4545	98	34	)	)	PUNCT
cana-4545	98	35	then	then	ADV
cana-4545	98	36	,	,	PUNCT
cana-4545	98	37	𝑁wa(𝛾1	𝑁wa(𝛾1	NOUN
cana-4545	98	38	,	,	PUNCT
cana-4545	98	39	𝛾2	𝛾2	VERB
cana-4545	98	40	)	)	PUNCT
cana-4545	98	41	=	=	NOUN
cana-4545	98	42	𝑤1𝛾1𝑤2𝛾2	𝑤1𝛾1𝑤2𝛾2	NOUN
cana-4545	99	1	=	=	X
cana-4545	99	2	<	<	X
cana-4545	99	3	2	2	NUM
cana-4545	99	4	−	−	NOUN
cana-4545	99	5	(	(	PUNCT
cana-4545	99	6	1	1	NUM
cana-4545	99	7	−	−	PROPN
cana-4545	99	8	𝒯𝛾(x1	𝒯𝛾(x1	PROPN
cana-4545	99	9	)	)	PUNCT
cana-4545	99	10	)	)	PUNCT
cana-4545	99	11	𝑤1	𝑤1	VERB
cana-4545	99	12	−	−	PROPN
cana-4545	99	13	(	(	PUNCT
cana-4545	99	14	1	1	NUM
cana-4545	99	15	−	−	PROPN
cana-4545	99	16	𝒯𝛾(x2	𝒯𝛾(x2	NOUN
cana-4545	99	17	)	)	PUNCT
cana-4545	99	18	)	)	PUNCT
cana-4545	99	19	𝑤2	𝑤2	NOUN
cana-4545	99	20	−	−	PROPN
cana-4545	99	21	(	(	PUNCT
cana-4545	99	22	1	1	NUM
cana-4545	99	23	−	−	PROPN
cana-4545	99	24	(	(	PUNCT
cana-4545	99	25	1	1	NUM
cana-4545	99	26	−	−	PROPN
cana-4545	99	27	𝒯𝛾(x1	𝒯𝛾(x1	PROPN
cana-4545	99	28	)	)	PUNCT
cana-4545	99	29	)	)	PUNCT
cana-4545	100	1	𝑤1	𝑤1	VERB
cana-4545	100	2	)	)	PUNCT
cana-4545	100	3	(	(	PUNCT
cana-4545	100	4	1	1	NUM
cana-4545	100	5	−	−	PROPN
cana-4545	100	6	(	(	PUNCT
cana-4545	100	7	1	1	NUM
cana-4545	100	8	−	−	PROPN
cana-4545	100	9	𝒯𝛾(x2	𝒯𝛾(x2	NOUN
cana-4545	100	10	)	)	PUNCT
cana-4545	100	11	)	)	PUNCT
cana-4545	100	12	𝑤2	𝑤2	NOUN
cana-4545	100	13	)	)	PUNCT
cana-4545	100	14	,	,	PUNCT
cana-4545	100	15	(	(	PUNCT
cana-4545	100	16	ℐ𝛾(x1	ℐ𝛾(x1	NOUN
cana-4545	100	17	)	)	PUNCT
cana-4545	100	18	)	)	PUNCT
cana-4545	101	1	𝑤1	𝑤1	VERB
cana-4545	101	2	(	(	PUNCT
cana-4545	101	3	ℐ𝛾(x2	ℐ𝛾(x2	NOUN
cana-4545	101	4	)	)	PUNCT
cana-4545	101	5	)	)	PUNCT
cana-4545	101	6	𝑤2	𝑤2	NOUN
cana-4545	101	7	,	,	PUNCT
cana-4545	101	8	(	(	PUNCT
cana-4545	101	9	ℱ𝛾(x1	ℱ𝛾(x1	NOUN
cana-4545	101	10	)	)	PUNCT
cana-4545	101	11	)	)	PUNCT
cana-4545	102	1	𝑤1	𝑤1	PROPN
cana-4545	102	2	(	(	PUNCT
cana-4545	102	3	ℱ𝛾)(x2	ℱ𝛾)(x2	NOUN
cana-4545	102	4	)	)	PUNCT
cana-4545	102	5	)	)	PUNCT
cana-4545	102	6	𝑤2	𝑤2	NOUN
cana-4545	102	7	>	>	X
cana-4545	103	1	=	=	X
cana-4545	103	2	<	<	X
cana-4545	103	3	1	1	NUM
cana-4545	103	4	−	−	NOUN
cana-4545	103	5	(	(	PUNCT
cana-4545	103	6	1	1	NUM
cana-4545	103	7	−	−	PROPN
cana-4545	103	8	𝒯𝛾(x1	𝒯𝛾(x1	PROPN
cana-4545	103	9	)	)	PUNCT
cana-4545	103	10	)	)	PUNCT
cana-4545	103	11	𝑤1	𝑤1	VERB
cana-4545	103	12	(	(	PUNCT
cana-4545	103	13	1	1	NUM
cana-4545	103	14	−	−	PROPN
cana-4545	103	15	𝒯𝛾(x2	𝒯𝛾(x2	NOUN
cana-4545	103	16	)	)	PUNCT
cana-4545	103	17	)	)	PUNCT
cana-4545	103	18	𝑤2	𝑤2	NOUN
cana-4545	103	19	,	,	PUNCT
cana-4545	103	20	(	(	PUNCT
cana-4545	103	21	ℐ𝛾(x1	ℐ𝛾(x1	NOUN
cana-4545	103	22	)	)	PUNCT
cana-4545	103	23	)	)	PUNCT
cana-4545	104	1	𝑤1	𝑤1	VERB
cana-4545	104	2	(	(	PUNCT
cana-4545	104	3	ℐ𝛾(x2	ℐ𝛾(x2	NOUN
cana-4545	104	4	)	)	PUNCT
cana-4545	104	5	)	)	PUNCT
cana-4545	104	6	𝑤2	𝑤2	NOUN
cana-4545	104	7	,	,	PUNCT
cana-4545	104	8	(	(	PUNCT
cana-4545	104	9	ℱ𝛾(x1	ℱ𝛾(x1	NOUN
cana-4545	104	10	)	)	PUNCT
cana-4545	104	11	)	)	PUNCT
cana-4545	105	1	𝑤1	𝑤1	VERB
cana-4545	105	2	(	(	PUNCT
cana-4545	105	3	ℱ𝛾(x2	ℱ𝛾(x2	NOUN
cana-4545	105	4	)	)	PUNCT
cana-4545	105	5	)	)	PUNCT
cana-4545	105	6	𝑤2	𝑤2	NOUN
cana-4545	105	7	>	>	X
cana-4545	105	8	.	.	PUNCT
cana-4545	106	1	if	if	SCONJ
cana-4545	106	2	n	n	PRON
cana-4545	106	3	=	=	SYM
cana-4545	106	4	k	k	NOUN
cana-4545	106	5	,	,	PUNCT
cana-4545	106	6	then	then	ADV
cana-4545	106	7	equation	equation	NOUN
cana-4545	106	8	(	(	PUNCT
cana-4545	106	9	1	1	X
cana-4545	106	10	)	)	PUNCT
cana-4545	106	11	holds	hold	NOUN
cana-4545	106	12	,	,	PUNCT
cana-4545	106	13	i.e.	i.e.	X
cana-4545	106	14	,	,	PUNCT
cana-4545	106	15	𝑁wa(𝛾1	𝑁wa(𝛾1	NOUN
cana-4545	106	16	,	,	PUNCT
cana-4545	106	17	𝛾2	𝛾2	VERB
cana-4545	106	18	,	,	PUNCT
cana-4545	106	19	𝛾3	𝛾3	NOUN
cana-4545	106	20	…	…	PUNCT
cana-4545	106	21	𝛾n	𝛾n	ADP
cana-4545	106	22	)	)	PUNCT
cana-4545	106	23	=	=	NOUN
cana-4545	106	24	𝑤1𝛾1𝑤2𝛾2	𝑤1𝛾1𝑤2𝛾2	X
cana-4545	106	25	…	…	PUNCT
cana-4545	106	26	…	…	PUNCT
cana-4545	106	27	…	…	PUNCT
cana-4545	106	28	𝑤𝑘𝛾𝑘	𝑤𝑘𝛾𝑘	PROPN
cana-4545	106	29	communications	communication	NOUN
cana-4545	106	30	on	on	ADP
cana-4545	106	31	applied	apply	VERB
cana-4545	106	32	nonlinear	nonlinear	ADJ
cana-4545	106	33	analysis	analysis	NOUN
cana-4545	106	34	issn	issn	NOUN
cana-4545	106	35	:	:	PUNCT
cana-4545	106	36	1074	1074	NUM
cana-4545	106	37	-	-	PUNCT
cana-4545	106	38	133x	133x	NUM
cana-4545	106	39	vol	vol	NOUN
cana-4545	106	40	32	32	NUM
cana-4545	106	41	no	no	NOUN
cana-4545	106	42	.	.	PUNCT
cana-4545	107	1	9s	9s	NUM
cana-4545	107	2	(	(	PUNCT
cana-4545	107	3	2025	2025	NUM
cana-4545	107	4	)	)	PUNCT
cana-4545	107	5	2639	2639	NUM
cana-4545	107	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	108	1	=	=	PUNCT
cana-4545	108	2	<	<	X
cana-4545	108	3	1	1	NUM
cana-4545	108	4	−	−	PROPN
cana-4545	108	5	∏	∏	NUM
cana-4545	108	6	(	(	PUNCT
cana-4545	108	7	1	1	NUM
cana-4545	108	8	−	−	NOUN
cana-4545	108	9	𝒯𝛾(x𝑖	𝒯𝛾(x𝑖	NOUN
cana-4545	108	10	)	)	PUNCT
cana-4545	108	11	)	)	PUNCT
cana-4545	108	12	𝑤𝑗	𝑤𝑗	ADV
cana-4545	108	13	,	,	PUNCT
cana-4545	108	14	𝑘	𝑘	PROPN
cana-4545	108	15	𝑗=1	𝑗=1	PROPN
cana-4545	108	16	∏	∏	PROPN
cana-4545	108	17	(	(	PUNCT
cana-4545	108	18	ℐ𝛾(x𝑖	ℐ𝛾(x𝑖	NOUN
cana-4545	108	19	)	)	PUNCT
cana-4545	108	20	)	)	PUNCT
cana-4545	108	21	𝑤𝑗	𝑤𝑗	ADV
cana-4545	108	22	,	,	PUNCT
cana-4545	108	23	𝑘	𝑘	PROPN
cana-4545	108	24	𝑗=1	𝑗=1	PROPN
cana-4545	108	25	∏	∏	PROPN
cana-4545	108	26	(	(	PUNCT
cana-4545	108	27	ℱ𝛾(x𝑖	ℱ𝛾(x𝑖	NOUN
cana-4545	108	28	)	)	PUNCT
cana-4545	108	29	)	)	PUNCT
cana-4545	108	30	𝑤𝑗	𝑤𝑗	ADP
cana-4545	108	31	𝑘	𝑘	DET
cana-4545	108	32	𝑗=1	𝑗=1	PROPN
cana-4545	108	33	>	>	X
cana-4545	108	34	and	and	CCONJ
cana-4545	108	35	the	the	DET
cana-4545	108	36	aggregated	aggregate	VERB
cana-4545	108	37	value	value	NOUN
cana-4545	108	38	is	be	AUX
cana-4545	108	39	a	a	DET
cana-4545	108	40	ns	ns	ADJ
cana-4545	108	41	,	,	PUNCT
cana-4545	108	42	then	then	ADV
cana-4545	108	43	when	when	SCONJ
cana-4545	108	44	n	n	X
cana-4545	108	45	=	=	SYM
cana-4545	108	46	k	k	PROPN
cana-4545	109	1	+	+	PROPN
cana-4545	109	2	1	1	NUM
cana-4545	109	3	,	,	PUNCT
cana-4545	109	4	by	by	ADP
cana-4545	109	5	the	the	DET
cana-4545	109	6	operational	operational	ADJ
cana-4545	109	7	laws	law	NOUN
cana-4545	109	8	of	of	ADP
cana-4545	109	9	ns	ns	NUM
cana-4545	109	10	,	,	PUNCT
cana-4545	109	11	we	we	PRON
cana-4545	109	12	have	have	AUX
cana-4545	109	13	𝑁wa(𝛾1	𝑁wa(𝛾1	NOUN
cana-4545	109	14	,	,	PUNCT
cana-4545	109	15	𝛾2	𝛾2	VERB
cana-4545	109	16	,	,	PUNCT
cana-4545	109	17	𝛾3	𝛾3	NOUN
cana-4545	109	18	…	…	PUNCT
cana-4545	109	19	𝛾k+1	𝛾k+1	X
cana-4545	109	20	)	)	PUNCT
cana-4545	109	21	=	=	NOUN
cana-4545	109	22	𝑤1𝛾1𝑤2𝛾2	𝑤1𝛾1𝑤2𝛾2	X
cana-4545	109	23	…	…	PUNCT
cana-4545	109	24	…	…	PUNCT
cana-4545	109	25	…	…	PUNCT
cana-4545	109	26	𝑤𝑘𝛾𝑘𝑤𝑘+1𝛾𝑘+1	𝑤𝑘𝛾𝑘𝑤𝑘+1𝛾𝑘+1	NOUN
cana-4545	109	27	=	=	SYM
cana-4545	109	28	〈	〈	PROPN
cana-4545	109	29	1	1	NUM
cana-4545	109	30	−	−	PROPN
cana-4545	109	31	∏	∏	PROPN
cana-4545	109	32	(	(	PUNCT
cana-4545	109	33	1	1	NUM
cana-4545	109	34	−	−	NOUN
cana-4545	109	35	𝒯𝛾(x𝑖	𝒯𝛾(x𝑖	NOUN
cana-4545	109	36	)	)	PUNCT
cana-4545	109	37	)	)	PUNCT
cana-4545	110	1	𝑤𝑗	𝑤𝑗	ADP
cana-4545	110	2	+	+	CCONJ
cana-4545	110	3	(	(	PUNCT
cana-4545	110	4	1	1	NUM
cana-4545	110	5	−	−	PROPN
cana-4545	110	6	(	(	PUNCT
cana-4545	110	7	1	1	NUM
cana-4545	110	8	−	−	NOUN
cana-4545	110	9	𝒯𝛾(x𝑘+1	𝒯𝛾(x𝑘+1	NOUN
cana-4545	110	10	)	)	PUNCT
cana-4545	110	11	)	)	PUNCT
cana-4545	110	12	𝑤𝑘+1	𝑤𝑘+1	X
cana-4545	110	13	)	)	PUNCT
cana-4545	110	14	−	−	PROPN
cana-4545	111	1	(	(	PUNCT
cana-4545	111	2	1	1	NUM
cana-4545	111	3	−	−	PROPN
cana-4545	111	4	∏	∏	NUM
cana-4545	111	5	(	(	PUNCT
cana-4545	111	6	1	1	NUM
cana-4545	111	7	−	−	NOUN
cana-4545	111	8	𝒯𝛾(x𝑖	𝒯𝛾(x𝑖	NOUN
cana-4545	111	9	)	)	PUNCT
cana-4545	111	10	)	)	PUNCT
cana-4545	111	11	𝑤𝑗	𝑤𝑗	ADP
cana-4545	111	12	𝑘	𝑘	DET
cana-4545	111	13	𝑗=1	𝑗=1	PROPN
cana-4545	111	14	)	)	PUNCT
cana-4545	111	15	(	(	PUNCT
cana-4545	111	16	1	1	NUM
cana-4545	111	17	−𝑘	−𝑘	NOUN
cana-4545	111	18	𝑗=1	𝑗=1	X
cana-4545	111	19	(	(	PUNCT
cana-4545	111	20	1	1	NUM
cana-4545	111	21	−	−	NOUN
cana-4545	111	22	𝒯𝛾(x𝑘+1	𝒯𝛾(x𝑘+1	NOUN
cana-4545	111	23	)	)	PUNCT
cana-4545	111	24	)	)	PUNCT
cana-4545	111	25	𝑤𝑘+1	𝑤𝑘+1	NUM
cana-4545	111	26	)	)	PUNCT
cana-4545	111	27	,	,	PUNCT
cana-4545	111	28	∏	∏	PROPN
cana-4545	111	29	(	(	PUNCT
cana-4545	111	30	ℐ𝛾(x𝑖	ℐ𝛾(x𝑖	NOUN
cana-4545	111	31	)	)	PUNCT
cana-4545	111	32	)	)	PUNCT
cana-4545	112	1	𝑤𝑗	𝑤𝑗	ADV
cana-4545	112	2	,	,	PUNCT
cana-4545	112	3	𝑘+1	𝑘+1	PRON
cana-4545	112	4	𝑗=1	𝑗=1	PROPN
cana-4545	112	5	∏	∏	PROPN
cana-4545	112	6	(	(	PUNCT
cana-4545	112	7	ℱ𝛾)(x𝑖	ℱ𝛾)(x𝑖	PROPN
cana-4545	112	8	)	)	PUNCT
cana-4545	112	9	)	)	PUNCT
cana-4545	112	10	𝑤𝑗𝑘+1	𝑤𝑗𝑘+1	NOUN
cana-4545	112	11	𝑗=1	𝑗=1	PROPN
cana-4545	112	12	〉	〉	NOUN
cana-4545	112	13	=	=	NOUN
cana-4545	112	14	<	<	X
cana-4545	112	15	1	1	NUM
cana-4545	112	16	−	−	PROPN
cana-4545	112	17	∏	∏	NUM
cana-4545	112	18	(	(	PUNCT
cana-4545	112	19	1	1	NUM
cana-4545	112	20	−	−	NOUN
cana-4545	112	21	𝒯𝛾(x𝑖	𝒯𝛾(x𝑖	NOUN
cana-4545	112	22	)	)	PUNCT
cana-4545	112	23	)	)	PUNCT
cana-4545	112	24	𝑤𝑗	𝑤𝑗	ADV
cana-4545	112	25	,	,	PUNCT
cana-4545	112	26	𝑘+1	𝑘+1	PRON
cana-4545	112	27	𝑗=1	𝑗=1	PROPN
cana-4545	112	28	∏	∏	PROPN
cana-4545	112	29	(	(	PUNCT
cana-4545	112	30	ℐ𝛾(x𝑖	ℐ𝛾(x𝑖	NOUN
cana-4545	112	31	)	)	PUNCT
cana-4545	112	32	)	)	PUNCT
cana-4545	112	33	𝑤𝑗	𝑤𝑗	ADV
cana-4545	112	34	,	,	PUNCT
cana-4545	112	35	𝑘+1	𝑘+1	PRON
cana-4545	112	36	𝑗=1	𝑗=1	PROPN
cana-4545	112	37	∏	∏	PROPN
cana-4545	112	38	(	(	PUNCT
cana-4545	112	39	ℱ𝛾(x𝑖	ℱ𝛾(x𝑖	NOUN
cana-4545	112	40	)	)	PUNCT
cana-4545	112	41	)	)	PUNCT
cana-4545	112	42	𝑤𝑗𝑘+1	𝑤𝑗𝑘+1	NOUN
cana-4545	112	43	𝑗=1	𝑗=1	PROPN
cana-4545	112	44	>	>	PUNCT
cana-4545	112	45	.	.	PUNCT
cana-4545	113	1	by	by	ADP
cana-4545	113	2	which	which	DET
cana-4545	113	3	aggregated	aggregate	VERB
cana-4545	113	4	value	value	NOUN
cana-4545	113	5	is	be	AUX
cana-4545	113	6	also	also	ADV
cana-4545	113	7	a	a	DET
cana-4545	113	8	ns	ns	ADJ
cana-4545	113	9	,	,	PUNCT
cana-4545	113	10	therefore	therefore	ADV
cana-4545	113	11	,	,	PUNCT
cana-4545	113	12	when	when	SCONJ
cana-4545	113	13	n	n	X
cana-4545	113	14	=	=	SYM
cana-4545	113	15	k	k	PROPN
cana-4545	114	1	+	+	PROPN
cana-4545	114	2	1	1	NUM
cana-4545	114	3	,	,	PUNCT
cana-4545	114	4	equation	equation	NOUN
cana-4545	114	5	(	(	PUNCT
cana-4545	114	6	1	1	X
cana-4545	114	7	)	)	PUNCT
cana-4545	114	8	holds	hold	VERB
cana-4545	114	9	.	.	PUNCT
cana-4545	115	1	thus	thus	ADV
cana-4545	115	2	,	,	PUNCT
cana-4545	115	3	by	by	ADP
cana-4545	115	4	steps	step	NOUN
cana-4545	115	5	1	1	NUM
cana-4545	115	6	and	and	CCONJ
cana-4545	115	7	2	2	NUM
cana-4545	115	8	,	,	PUNCT
cana-4545	115	9	we	we	PRON
cana-4545	115	10	recognize	recognize	VERB
cana-4545	115	11	that	that	DET
cana-4545	115	12	equation	equation	NOUN
cana-4545	115	13	(	(	PUNCT
cana-4545	115	14	1	1	X
cana-4545	115	15	)	)	PUNCT
cana-4545	115	16	sustain	sustain	VERB
cana-4545	115	17	for	for	SCONJ
cana-4545	115	18	all	all	DET
cana-4545	115	19	n.	n.	NOUN
cana-4545	115	20	theorem	theorem	VERB
cana-4545	115	21	2.3	2.3	NUM
cana-4545	115	22	:	:	PUNCT
cana-4545	115	23	let	let	VERB
cana-4545	115	24	𝛾𝑖	𝛾𝑖	ADV
cana-4545	115	25	=	=	NOUN
cana-4545	115	26	(	(	PUNCT
cana-4545	115	27	𝒯𝛾(𝑥𝑖	𝒯𝛾(𝑥𝑖	VERB
cana-4545	115	28	)	)	PUNCT
cana-4545	115	29	,	,	PUNCT
cana-4545	115	30	ℐ𝛾(𝑥𝑖	ℐ𝛾(𝑥𝑖	VERB
cana-4545	115	31	)	)	PUNCT
cana-4545	115	32	,	,	PUNCT
cana-4545	115	33	ℱ𝛾(𝑥𝑖	ℱ𝛾(𝑥𝑖	PROPN
cana-4545	115	34	)	)	PUNCT
cana-4545	115	35	)	)	PUNCT
cana-4545	115	36	,	,	PUNCT
cana-4545	115	37	𝑖	𝑖	X
cana-4545	116	1	=	=	NOUN
cana-4545	116	2	1,2,3	1,2,3	NUM
cana-4545	116	3	.	.	PUNCT
cana-4545	116	4	.	.	PUNCT
cana-4545	116	5	.	.	PUNCT
cana-4545	117	1	.	.	PUNCT
cana-4545	118	1	𝑛	𝑛	PRON
cana-4545	118	2	be	be	AUX
cana-4545	118	3	a	a	DET
cana-4545	118	4	collection	collection	NOUN
cana-4545	118	5	of	of	ADP
cana-4545	118	6	ns	ns	NUM
cana-4545	118	7	,	,	PUNCT
cana-4545	118	8	then	then	ADV
cana-4545	118	9	neutrosophic	neutrosophic	PROPN
cana-4545	118	10	weighted	weight	VERB
cana-4545	118	11	geometric	geometric	ADJ
cana-4545	118	12	(	(	PUNCT
cana-4545	118	13	nwg	nwg	ADJ
cana-4545	118	14	)	)	PUNCT
cana-4545	118	15	operator	operator	NOUN
cana-4545	118	16	value	value	NOUN
cana-4545	118	17	is	be	AUX
cana-4545	118	18	also	also	ADV
cana-4545	118	19	a	a	DET
cana-4545	118	20	ns	ns	ADJ
cana-4545	118	21	and	and	CCONJ
cana-4545	118	22	𝑁wg(𝛾1	𝑁wg(𝛾1	NOUN
cana-4545	118	23	,	,	PUNCT
cana-4545	118	24	𝛾2	𝛾2	VERB
cana-4545	118	25	,	,	PUNCT
cana-4545	118	26	𝛾3	𝛾3	NOUN
cana-4545	118	27	.	.	PUNCT
cana-4545	118	28	.	.	PUNCT
cana-4545	118	29	.	.	PUNCT
cana-4545	119	1	𝛾𝑛	𝛾𝑛	X
cana-4545	119	2	)	)	PUNCT
cana-4545	119	3	=	=	SYM
cana-4545	119	4	(	(	PUNCT
cana-4545	119	5	∏	∏	PROPN
cana-4545	119	6	(	(	PUNCT
cana-4545	119	7	𝒯𝛾(𝑥𝑖	𝒯𝛾(𝑥𝑖	VERB
cana-4545	119	8	)	)	PUNCT
cana-4545	119	9	)	)	PUNCT
cana-4545	119	10	𝑤𝑗	𝑤𝑗	ADV
cana-4545	119	11	,	,	PUNCT
cana-4545	119	12	1	1	NUM
cana-4545	119	13	−𝑛	−𝑛	NOUN
cana-4545	119	14	𝑖,𝑗=1	𝑖,𝑗=1	NOUN
cana-4545	119	15	∏	∏	PROPN
cana-4545	119	16	(	(	PUNCT
cana-4545	119	17	1	1	NUM
cana-4545	119	18	−	−	NOUN
cana-4545	119	19	ℐ𝛾(𝑥𝑖	ℐ𝛾(𝑥𝑖	NUM
cana-4545	119	20	)	)	PUNCT
cana-4545	119	21	)	)	PUNCT
cana-4545	119	22	𝑤𝑗	𝑤𝑗	ADV
cana-4545	119	23	,	,	PUNCT
cana-4545	119	24	𝑛	𝑛	PROPN
cana-4545	119	25	𝑖,𝑗=1	𝑖,𝑗=1	ADJ
cana-4545	119	26	∏	∏	X
cana-4545	119	27	(	(	PUNCT
cana-4545	119	28	1	1	NUM
cana-4545	119	29	−	−	NUM
cana-4545	119	30	ℱ𝛾(𝑥𝑖	ℱ𝛾(𝑥𝑖	NUM
cana-4545	119	31	)	)	PUNCT
cana-4545	119	32	)	)	PUNCT
cana-4545	119	33	𝑤𝑗𝑛	𝑤𝑗𝑛	NOUN
cana-4545	119	34	𝑖,𝑗=1	𝑖,𝑗=1	NUM
cana-4545	119	35	)	)	PUNCT
cana-4545	119	36	…	…	PUNCT
cana-4545	119	37	…	…	PUNCT
cana-4545	119	38	…	…	SYM
cana-4545	119	39	……	……	NOUN
cana-4545	119	40	..	..	PUNCT
cana-4545	119	41	(	(	PUNCT
cana-4545	119	42	2	2	X
cana-4545	119	43	)	)	PUNCT
cana-4545	119	44	where	where	SCONJ
cana-4545	119	45	𝑤	𝑤	ADP
cana-4545	119	46	=	=	SYM
cana-4545	119	47	(	(	PUNCT
cana-4545	119	48	𝑤1	𝑤1	PROPN
cana-4545	119	49	,	,	PUNCT
cana-4545	119	50	𝑤2	𝑤2	NOUN
cana-4545	119	51	,	,	PUNCT
cana-4545	119	52	𝑤3	𝑤3	PROPN
cana-4545	119	53	,	,	PUNCT
cana-4545	119	54	…	…	PUNCT
cana-4545	119	55	𝑤𝑛	𝑤𝑛	X
cana-4545	119	56	)	)	PUNCT
cana-4545	119	57	𝑇	𝑇	PROPN
cana-4545	119	58	be	be	VERB
cana-4545	119	59	the	the	DET
cana-4545	119	60	weight	weight	NOUN
cana-4545	119	61	vector	vector	NOUN
cana-4545	119	62	of	of	ADP
cana-4545	119	63	𝛾𝑗(𝑗	𝛾𝑗(𝑗	NOUN
cana-4545	119	64	=	=	NOUN
cana-4545	119	65	1,2,3	1,2,3	NUM
cana-4545	119	66	,	,	PUNCT
cana-4545	119	67	…	…	PUNCT
cana-4545	119	68	.	.	PUNCT
cana-4545	120	1	𝑛	𝑛	X
cana-4545	120	2	)	)	PUNCT
cana-4545	120	3	and	and	CCONJ
cana-4545	120	4	𝑤𝑗	𝑤𝑗	ADP
cana-4545	120	5	>	>	NUM
cana-4545	120	6	0	0	NUM
cana-4545	120	7	,	,	PUNCT
cana-4545	120	8	∑	∑	PUNCT
cana-4545	120	9	𝑤𝑗	𝑤𝑗	ADP
cana-4545	120	10	=	=	SYM
cana-4545	120	11	1.𝑛	1.𝑛	NUM
cana-4545	120	12	𝑗=1	𝑗=1	NOUN
cana-4545	120	13	proof	proof	NOUN
cana-4545	120	14	.	.	PUNCT
cana-4545	121	1	we	we	PRON
cana-4545	121	2	prove	prove	VERB
cana-4545	121	3	equation	equation	NOUN
cana-4545	121	4	(	(	PUNCT
cana-4545	121	5	1	1	NUM
cana-4545	121	6	)	)	PUNCT
cana-4545	121	7	by	by	ADP
cana-4545	121	8	mathematical	mathematical	ADJ
cana-4545	121	9	induction	induction	NOUN
cana-4545	121	10	on	on	ADP
cana-4545	121	11	n.	n.	PROPN
cana-4545	121	12	if	if	SCONJ
cana-4545	121	13	n	n	NOUN
cana-4545	121	14	=	=	SYM
cana-4545	121	15	2	2	NUM
cana-4545	121	16	,	,	PUNCT
cana-4545	121	17	then	then	ADV
cana-4545	121	18	we	we	PRON
cana-4545	121	19	have	have	VERB
cana-4545	121	20	𝑁wg(𝛾1	𝑁wg(𝛾1	NOUN
cana-4545	121	21	,	,	PUNCT
cana-4545	121	22	𝛾2	𝛾2	VERB
cana-4545	121	23	)	)	PUNCT
cana-4545	121	24	=	=	SYM
cana-4545	121	25	𝑤1𝛾1𝑤2𝛾2	𝑤1𝛾1𝑤2𝛾2	NOUN
cana-4545	121	26	by	by	ADP
cana-4545	121	27	definition	definition	NOUN
cana-4545	121	28	2.1	2.1	NUM
cana-4545	121	29	,	,	PUNCT
cana-4545	121	30	we	we	PRON
cana-4545	121	31	can	can	AUX
cana-4545	121	32	see	see	VERB
cana-4545	121	33	that	that	SCONJ
cana-4545	121	34	both	both	DET
cana-4545	121	35	𝑤1𝛾1	𝑤1𝛾1	PROPN
cana-4545	121	36	𝑎𝑛𝑑	𝑎𝑛𝑑	X
cana-4545	121	37	𝑤2𝛾2	𝑤2𝛾2	X
cana-4545	121	38	are	be	AUX
cana-4545	121	39	ns	ns	ADJ
cana-4545	121	40	and	and	CCONJ
cana-4545	121	41	the	the	DET
cana-4545	121	42	value	value	NOUN
cana-4545	121	43	of	of	ADP
cana-4545	121	44	𝑤1𝛾1𝑤2𝛾2	𝑤1𝛾1𝑤2𝛾2	PROPN
cana-4545	121	45	is	be	AUX
cana-4545	121	46	also	also	ADV
cana-4545	121	47	a	a	DET
cana-4545	121	48	ns	ns	NOUN
cana-4545	121	49	.	.	PROPN
cana-4545	121	50	from	from	ADP
cana-4545	121	51	the	the	DET
cana-4545	121	52	operational	operational	ADJ
cana-4545	121	53	laws	law	NOUN
cana-4545	121	54	of	of	ADP
cana-4545	121	55	ns	ns	NUM
cana-4545	121	56	,	,	PUNCT
cana-4545	121	57	we	we	PRON
cana-4545	121	58	have	have	VERB
cana-4545	121	59	𝑤1𝛾1	𝑤1𝛾1	NOUN
cana-4545	121	60	=	=	SYM
cana-4545	121	61	(	(	PUNCT
cana-4545	121	62	(	(	PUNCT
cana-4545	121	63	𝒯𝛾(x1	𝒯𝛾(x1	PROPN
cana-4545	121	64	)	)	PUNCT
cana-4545	121	65	)	)	PUNCT
cana-4545	122	1	𝑤1	𝑤1	VERB
cana-4545	122	2	,	,	PUNCT
cana-4545	122	3	1	1	NUM
cana-4545	122	4	−	−	PROPN
cana-4545	122	5	(	(	PUNCT
cana-4545	122	6	1	1	NUM
cana-4545	122	7	−	−	PROPN
cana-4545	122	8	ℐ𝛾(x1	ℐ𝛾(x1	NOUN
cana-4545	122	9	)	)	PUNCT
cana-4545	122	10	)	)	PUNCT
cana-4545	122	11	𝑤1	𝑤1	VERB
cana-4545	122	12	,	,	PUNCT
cana-4545	122	13	1	1	NUM
cana-4545	122	14	−	−	PROPN
cana-4545	122	15	(	(	PUNCT
cana-4545	122	16	1	1	NUM
cana-4545	122	17	−	−	PROPN
cana-4545	122	18	ℱ𝛾(x1	ℱ𝛾(x1	NUM
cana-4545	122	19	)	)	PUNCT
cana-4545	122	20	)	)	PUNCT
cana-4545	122	21	𝑤1	𝑤1	VERB
cana-4545	122	22	)	)	PUNCT
cana-4545	122	23	;	;	PUNCT
cana-4545	122	24	𝑤2𝛾2	𝑤2𝛾2	X
cana-4545	122	25	=	=	SYM
cana-4545	122	26	(	(	PUNCT
cana-4545	122	27	(	(	PUNCT
cana-4545	122	28	𝒯𝛾(x2	𝒯𝛾(x2	NOUN
cana-4545	122	29	)	)	PUNCT
cana-4545	122	30	)	)	PUNCT
cana-4545	122	31	𝑤2	𝑤2	NOUN
cana-4545	122	32	,	,	PUNCT
cana-4545	122	33	1	1	NUM
cana-4545	122	34	−	−	PROPN
cana-4545	122	35	(	(	PUNCT
cana-4545	122	36	1	1	NUM
cana-4545	122	37	−	−	NUM
cana-4545	122	38	ℐ𝛾(x2	ℐ𝛾(x2	NOUN
cana-4545	122	39	)	)	PUNCT
cana-4545	122	40	)	)	PUNCT
cana-4545	122	41	𝑤2	𝑤2	NOUN
cana-4545	122	42	,	,	PUNCT
cana-4545	122	43	1	1	NUM
cana-4545	122	44	−	−	PROPN
cana-4545	122	45	(	(	PUNCT
cana-4545	122	46	1	1	NUM
cana-4545	122	47	−	−	NUM
cana-4545	122	48	ℱ𝛾(x2	ℱ𝛾(x2	NOUN
cana-4545	122	49	)	)	PUNCT
cana-4545	122	50	)	)	PUNCT
cana-4545	122	51	𝑤2	𝑤2	NOUN
cana-4545	122	52	)	)	PUNCT
cana-4545	122	53	then	then	ADV
cana-4545	122	54	,	,	PUNCT
cana-4545	122	55	𝑁wg(𝛾1	𝑁wg(𝛾1	NOUN
cana-4545	122	56	,	,	PUNCT
cana-4545	122	57	𝛾2	𝛾2	VERB
cana-4545	122	58	)	)	PUNCT
cana-4545	122	59	=	=	PUNCT
cana-4545	122	60	𝑤1𝛾1𝑤2𝛾2	𝑤1𝛾1𝑤2𝛾2	PUNCT
cana-4545	122	61	=	=	X
cana-4545	122	62	<	<	X
cana-4545	122	63	(	(	PUNCT
cana-4545	122	64	𝒯𝛾(x1	𝒯𝛾(x1	PROPN
cana-4545	122	65	)	)	PUNCT
cana-4545	122	66	)	)	PUNCT
cana-4545	123	1	𝑤1	𝑤1	VERB
cana-4545	123	2	(	(	PUNCT
cana-4545	123	3	𝒯𝛾)(x2	𝒯𝛾)(x2	PROPN
cana-4545	123	4	)	)	PUNCT
cana-4545	123	5	)	)	PUNCT
cana-4545	124	1	𝑤2	𝑤2	NOUN
cana-4545	124	2	,	,	PUNCT
cana-4545	124	3	2	2	NUM
cana-4545	124	4	−	−	NOUN
cana-4545	124	5	(	(	PUNCT
cana-4545	124	6	1	1	NUM
cana-4545	124	7	−	−	PROPN
cana-4545	124	8	ℐ𝛾(x1	ℐ𝛾(x1	NOUN
cana-4545	124	9	)	)	PUNCT
cana-4545	124	10	)	)	PUNCT
cana-4545	124	11	𝑤1	𝑤1	VERB
cana-4545	124	12	−	−	PROPN
cana-4545	124	13	(	(	PUNCT
cana-4545	124	14	1	1	NUM
cana-4545	124	15	−	−	NUM
cana-4545	124	16	ℐ𝛾(x2	ℐ𝛾(x2	NOUN
cana-4545	124	17	)	)	PUNCT
cana-4545	124	18	)	)	PUNCT
cana-4545	124	19	𝑤2	𝑤2	NOUN
cana-4545	124	20	−	−	PROPN
cana-4545	124	21	(	(	PUNCT
cana-4545	124	22	1	1	NUM
cana-4545	124	23	−	−	PROPN
cana-4545	124	24	(	(	PUNCT
cana-4545	124	25	1	1	NUM
cana-4545	124	26	−	−	PROPN
cana-4545	124	27	ℐ𝛾(x1	ℐ𝛾(x1	NOUN
cana-4545	124	28	)	)	PUNCT
cana-4545	124	29	)	)	PUNCT
cana-4545	124	30	𝑤1	𝑤1	VERB
cana-4545	124	31	)	)	PUNCT
cana-4545	124	32	(	(	PUNCT
cana-4545	124	33	1	1	NUM
cana-4545	124	34	−	−	PROPN
cana-4545	124	35	(	(	PUNCT
cana-4545	124	36	1	1	NUM
cana-4545	124	37	−	−	NUM
cana-4545	124	38	ℐ𝛾(x2	ℐ𝛾(x2	NOUN
cana-4545	124	39	)	)	PUNCT
cana-4545	124	40	)	)	PUNCT
cana-4545	124	41	𝑤2	𝑤2	NOUN
cana-4545	124	42	)	)	PUNCT
cana-4545	124	43	,	,	PUNCT
cana-4545	124	44	2	2	NUM
cana-4545	124	45	−	−	NOUN
cana-4545	124	46	(	(	PUNCT
cana-4545	124	47	1	1	NUM
cana-4545	124	48	−	−	PROPN
cana-4545	124	49	ℱ𝛾(x1	ℱ𝛾(x1	NUM
cana-4545	124	50	)	)	PUNCT
cana-4545	124	51	)	)	PUNCT
cana-4545	124	52	𝑤1	𝑤1	VERB
cana-4545	124	53	−	−	PROPN
cana-4545	124	54	(	(	PUNCT
cana-4545	124	55	1	1	NUM
cana-4545	124	56	−	−	NUM
cana-4545	124	57	ℱ𝛾(x2	ℱ𝛾(x2	NOUN
cana-4545	124	58	)	)	PUNCT
cana-4545	124	59	)	)	PUNCT
cana-4545	124	60	𝑤2	𝑤2	NOUN
cana-4545	124	61	−	−	PROPN
cana-4545	125	1	(	(	PUNCT
cana-4545	125	2	1	1	NUM
cana-4545	125	3	−	−	NOUN
cana-4545	125	4	(	(	PUNCT
cana-4545	125	5	1	1	NUM
cana-4545	125	6	−	−	PROPN
cana-4545	125	7	ℱ𝛾(x1	ℱ𝛾(x1	NUM
cana-4545	125	8	)	)	PUNCT
cana-4545	125	9	)	)	PUNCT
cana-4545	125	10	𝑤1	𝑤1	VERB
cana-4545	125	11	)	)	PUNCT
cana-4545	125	12	(	(	PUNCT
cana-4545	125	13	1	1	NUM
cana-4545	125	14	−	−	PROPN
cana-4545	125	15	(	(	PUNCT
cana-4545	125	16	1	1	NUM
cana-4545	125	17	−	−	NUM
cana-4545	125	18	ℱ𝛾(x2	ℱ𝛾(x2	NOUN
cana-4545	125	19	)	)	PUNCT
cana-4545	125	20	)	)	PUNCT
cana-4545	125	21	𝑤2	𝑤2	NOUN
cana-4545	125	22	)	)	PUNCT
cana-4545	125	23	.	.	PUNCT
cana-4545	126	1	>	>	X
cana-4545	127	1	=	=	PUNCT
cana-4545	127	2	<	<	X
cana-4545	127	3	(	(	PUNCT
cana-4545	127	4	𝒯𝛾(x1	𝒯𝛾(x1	PROPN
cana-4545	127	5	)	)	PUNCT
cana-4545	127	6	)	)	PUNCT
cana-4545	127	7	𝑤1	𝑤1	VERB
cana-4545	127	8	(	(	PUNCT
cana-4545	127	9	𝒯𝛾(x2	𝒯𝛾(x2	NOUN
cana-4545	127	10	)	)	PUNCT
cana-4545	127	11	)	)	PUNCT
cana-4545	127	12	𝑤2	𝑤2	NOUN
cana-4545	127	13	,	,	PUNCT
cana-4545	127	14	1	1	NUM
cana-4545	127	15	−	−	PROPN
cana-4545	127	16	(	(	PUNCT
cana-4545	127	17	1	1	NUM
cana-4545	127	18	−	−	PROPN
cana-4545	127	19	𝒯𝛾(x1	𝒯𝛾(x1	PROPN
cana-4545	127	20	)	)	PUNCT
cana-4545	127	21	)	)	PUNCT
cana-4545	128	1	𝑤1	𝑤1	VERB
cana-4545	128	2	(	(	PUNCT
cana-4545	128	3	1	1	NUM
cana-4545	128	4	−	−	PROPN
cana-4545	128	5	𝒯𝛾(x2	𝒯𝛾(x2	NOUN
cana-4545	128	6	)	)	PUNCT
cana-4545	128	7	)	)	PUNCT
cana-4545	128	8	𝑤2	𝑤2	NOUN
cana-4545	128	9	,	,	PUNCT
cana-4545	128	10	1	1	NUM
cana-4545	128	11	−	−	PROPN
cana-4545	128	12	(	(	PUNCT
cana-4545	128	13	1	1	NUM
cana-4545	128	14	−	−	PROPN
cana-4545	128	15	𝒯𝛾(x2	𝒯𝛾(x2	NOUN
cana-4545	128	16	)	)	PUNCT
cana-4545	128	17	)	)	PUNCT
cana-4545	129	1	𝑤1	𝑤1	VERB
cana-4545	129	2	(	(	PUNCT
cana-4545	129	3	1	1	NUM
cana-4545	129	4	−	−	PROPN
cana-4545	129	5	𝒯𝛾(x2	𝒯𝛾(x2	NOUN
cana-4545	129	6	)	)	PUNCT
cana-4545	129	7	)	)	PUNCT
cana-4545	129	8	𝑤2	𝑤2	NOUN
cana-4545	129	9	>	>	PUNCT
cana-4545	129	10	.	.	PUNCT
cana-4545	130	1	communications	communication	NOUN
cana-4545	130	2	on	on	ADP
cana-4545	130	3	applied	apply	VERB
cana-4545	130	4	nonlinear	nonlinear	ADJ
cana-4545	130	5	analysis	analysis	NOUN
cana-4545	130	6	issn	issn	NOUN
cana-4545	130	7	:	:	PUNCT
cana-4545	130	8	1074	1074	NUM
cana-4545	130	9	-	-	PUNCT
cana-4545	130	10	133x	133x	NUM
cana-4545	130	11	vol	vol	NOUN
cana-4545	130	12	32	32	NUM
cana-4545	130	13	no	no	NOUN
cana-4545	130	14	.	.	PUNCT
cana-4545	131	1	9s	9s	NUM
cana-4545	131	2	(	(	PUNCT
cana-4545	131	3	2025	2025	NUM
cana-4545	131	4	)	)	PUNCT
cana-4545	131	5	2640	2640	NUM
cana-4545	131	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	132	1	if	if	SCONJ
cana-4545	132	2	n	n	NUM
cana-4545	132	3	=	=	SYM
cana-4545	132	4	k	k	NOUN
cana-4545	132	5	,	,	PUNCT
cana-4545	132	6	then	then	ADV
cana-4545	132	7	equation	equation	NOUN
cana-4545	132	8	(	(	PUNCT
cana-4545	132	9	1	1	X
cana-4545	132	10	)	)	PUNCT
cana-4545	132	11	holds	hold	NOUN
cana-4545	132	12	,	,	PUNCT
cana-4545	132	13	i.e.	i.e.	X
cana-4545	132	14	,	,	PUNCT
cana-4545	132	15	𝑁wg(𝛾1	𝑁wg(𝛾1	NOUN
cana-4545	132	16	,	,	PUNCT
cana-4545	132	17	𝛾2	𝛾2	VERB
cana-4545	132	18	,	,	PUNCT
cana-4545	132	19	𝛾3	𝛾3	NOUN
cana-4545	132	20	…	…	PUNCT
cana-4545	132	21	𝛾n	𝛾n	ADP
cana-4545	132	22	)	)	PUNCT
cana-4545	132	23	=	=	SYM
cana-4545	132	24	𝑤1𝛾1𝑤2𝛾2	𝑤1𝛾1𝑤2𝛾2	X
cana-4545	132	25	…	…	PUNCT
cana-4545	132	26	…	…	PUNCT
cana-4545	132	27	…	…	PUNCT
cana-4545	132	28	𝑤𝑘𝛾𝑘	𝑤𝑘𝛾𝑘	NOUN
cana-4545	132	29	=	=	SYM
cana-4545	132	30	<	<	X
cana-4545	132	31	∏	∏	PROPN
cana-4545	132	32	(	(	PUNCT
cana-4545	132	33	𝒯𝛾(x𝑖	𝒯𝛾(x𝑖	PROPN
cana-4545	132	34	)	)	PUNCT
cana-4545	132	35	)	)	PUNCT
cana-4545	132	36	𝑤𝑗	𝑤𝑗	ADP
cana-4545	132	37	𝑘	𝑘	DET
cana-4545	132	38	𝑗=1	𝑗=1	PROPN
cana-4545	132	39	,	,	PUNCT
cana-4545	132	40	1	1	NUM
cana-4545	132	41	−	−	PROPN
cana-4545	132	42	∏	∏	NUM
cana-4545	132	43	(	(	PUNCT
cana-4545	132	44	1	1	NUM
cana-4545	132	45	−	−	NOUN
cana-4545	132	46	ℐ𝛾(x𝑖	ℐ𝛾(x𝑖	NOUN
cana-4545	132	47	)	)	PUNCT
cana-4545	132	48	)	)	PUNCT
cana-4545	133	1	𝑤𝑗	𝑤𝑗	ADV
cana-4545	133	2	,	,	PUNCT
cana-4545	133	3	1	1	NUM
cana-4545	133	4	−	−	PROPN
cana-4545	133	5	∏	∏	NUM
cana-4545	133	6	(	(	PUNCT
cana-4545	133	7	1	1	NUM
cana-4545	133	8	−	−	NOUN
cana-4545	133	9	ℱ𝛾(x𝑖	ℱ𝛾(x𝑖	NOUN
cana-4545	133	10	)	)	PUNCT
cana-4545	133	11	)	)	PUNCT
cana-4545	133	12	𝑤𝑗	𝑤𝑗	ADP
cana-4545	133	13	𝑘	𝑘	PRON
cana-4545	133	14	𝑗=1	𝑗=1	PROPN
cana-4545	133	15	𝑘	𝑘	PROPN
cana-4545	133	16	𝑗=1	𝑗=1	PROPN
cana-4545	133	17	>	>	X
cana-4545	133	18	and	and	CCONJ
cana-4545	133	19	the	the	DET
cana-4545	133	20	aggregated	aggregate	VERB
cana-4545	133	21	value	value	NOUN
cana-4545	133	22	is	be	AUX
cana-4545	133	23	a	a	DET
cana-4545	133	24	nshss	nshss	NOUN
cana-4545	133	25	,	,	PUNCT
cana-4545	133	26	then	then	ADV
cana-4545	133	27	when	when	SCONJ
cana-4545	133	28	n	n	X
cana-4545	133	29	=	=	SYM
cana-4545	133	30	k	k	PROPN
cana-4545	134	1	+	+	PROPN
cana-4545	134	2	1	1	NUM
cana-4545	134	3	,	,	PUNCT
cana-4545	134	4	by	by	ADP
cana-4545	134	5	the	the	DET
cana-4545	134	6	operational	operational	ADJ
cana-4545	134	7	laws	law	NOUN
cana-4545	134	8	of	of	ADP
cana-4545	134	9	nshss	nshss	PROPN
cana-4545	134	10	,	,	PUNCT
cana-4545	134	11	we	we	PRON
cana-4545	134	12	have	have	AUX
cana-4545	134	13	𝑁wa(𝛾1	𝑁wa(𝛾1	NOUN
cana-4545	134	14	,	,	PUNCT
cana-4545	134	15	𝛾2	𝛾2	VERB
cana-4545	134	16	,	,	PUNCT
cana-4545	134	17	𝛾3	𝛾3	NOUN
cana-4545	134	18	…	…	PUNCT
cana-4545	134	19	𝛾k+1	𝛾k+1	X
cana-4545	134	20	)	)	PUNCT
cana-4545	134	21	=	=	SYM
cana-4545	134	22	𝑤1𝛾1𝑤2𝛾2	𝑤1𝛾1𝑤2𝛾2	NOUN
cana-4545	134	23	…	…	PUNCT
cana-4545	134	24	…	…	PUNCT
cana-4545	134	25	…	…	PUNCT
cana-4545	134	26	𝑤𝑘𝛾𝑘𝑤𝑘+1𝛾𝑘+1	𝑤𝑘𝛾𝑘𝑤𝑘+1𝛾𝑘+1	X
cana-4545	134	27	=	=	SYM
cana-4545	134	28	〈	〈	PROPN
cana-4545	134	29	∏	∏	PROPN
cana-4545	134	30	(	(	PUNCT
cana-4545	134	31	𝒯𝛾(x𝑖	𝒯𝛾(x𝑖	PROPN
cana-4545	134	32	)	)	PUNCT
cana-4545	134	33	)	)	PUNCT
cana-4545	135	1	𝑤𝑗	𝑤𝑗	ADV
cana-4545	135	2	,	,	PUNCT
cana-4545	135	3	𝑘+1	𝑘+1	NUM
cana-4545	135	4	𝑗=1	𝑗=1	PROPN
cana-4545	135	5	1	1	NUM
cana-4545	135	6	−	−	PROPN
cana-4545	135	7	∏	∏	PROPN
cana-4545	135	8	(	(	PUNCT
cana-4545	135	9	1	1	NUM
cana-4545	135	10	−	−	NOUN
cana-4545	135	11	ℐ𝛾(x𝑖	ℐ𝛾(x𝑖	NOUN
cana-4545	135	12	)	)	PUNCT
cana-4545	135	13	)	)	PUNCT
cana-4545	136	1	𝑤𝑗	𝑤𝑗	ADP
cana-4545	136	2	+	+	CCONJ
cana-4545	136	3	(	(	PUNCT
cana-4545	136	4	1	1	NUM
cana-4545	136	5	−	−	NOUN
cana-4545	136	6	(	(	PUNCT
cana-4545	136	7	1	1	NUM
cana-4545	136	8	−	−	PROPN
cana-4545	136	9	ℐ𝛾(x𝑘+1	ℐ𝛾(x𝑘+1	PROPN
cana-4545	136	10	)	)	PUNCT
cana-4545	136	11	)	)	PUNCT
cana-4545	136	12	𝑤𝑘+1	𝑤𝑘+1	X
cana-4545	136	13	)	)	PUNCT
cana-4545	136	14	−	−	PROPN
cana-4545	137	1	(	(	PUNCT
cana-4545	137	2	1	1	NUM
cana-4545	137	3	−𝑘	−𝑘	NOUN
cana-4545	137	4	𝑗=1	𝑗=1	PROPN
cana-4545	137	5	∏	∏	X
cana-4545	137	6	(	(	PUNCT
cana-4545	137	7	1	1	NUM
cana-4545	137	8	−	−	NOUN
cana-4545	137	9	ℐ𝛾(x𝑖	ℐ𝛾(x𝑖	NOUN
cana-4545	137	10	)	)	PUNCT
cana-4545	137	11	)	)	PUNCT
cana-4545	137	12	𝑤𝑗	𝑤𝑗	ADP
cana-4545	137	13	𝑘	𝑘	DET
cana-4545	137	14	𝑗=1	𝑗=1	PROPN
cana-4545	137	15	)	)	PUNCT
cana-4545	137	16	(	(	PUNCT
cana-4545	137	17	1	1	NUM
cana-4545	137	18	−	−	PROPN
cana-4545	137	19	(	(	PUNCT
cana-4545	137	20	1	1	NUM
cana-4545	137	21	−	−	PROPN
cana-4545	137	22	ℐ𝛾(x𝑘+1	ℐ𝛾(x𝑘+1	PROPN
cana-4545	137	23	)	)	PUNCT
cana-4545	137	24	)	)	PUNCT
cana-4545	137	25	𝑤𝑘+1	𝑤𝑘+1	NUM
cana-4545	137	26	)	)	PUNCT
cana-4545	137	27	,	,	PUNCT
cana-4545	137	28	1	1	NUM
cana-4545	137	29	−	−	PROPN
cana-4545	137	30	∏	∏	NUM
cana-4545	137	31	(	(	PUNCT
cana-4545	137	32	1	1	NUM
cana-4545	137	33	−	−	NOUN
cana-4545	137	34	ℱ𝛾(x𝑖	ℱ𝛾(x𝑖	NOUN
cana-4545	137	35	)	)	PUNCT
cana-4545	137	36	)	)	PUNCT
cana-4545	138	1	𝑤𝑗	𝑤𝑗	ADP
cana-4545	138	2	+	+	CCONJ
cana-4545	138	3	(	(	PUNCT
cana-4545	138	4	1	1	NUM
cana-4545	138	5	−𝑘	−𝑘	NOUN
cana-4545	138	6	𝑗=1	𝑗=1	X
cana-4545	138	7	(	(	PUNCT
cana-4545	138	8	1	1	NUM
cana-4545	138	9	−	−	PROPN
cana-4545	138	10	ℱ𝛾(x𝑘+1	ℱ𝛾(x𝑘+1	NOUN
cana-4545	138	11	)	)	PUNCT
cana-4545	138	12	)	)	PUNCT
cana-4545	138	13	𝑤𝑘+1	𝑤𝑘+1	X
cana-4545	138	14	)	)	PUNCT
cana-4545	138	15	−	−	PROPN
cana-4545	139	1	(	(	PUNCT
cana-4545	139	2	1	1	NUM
cana-4545	139	3	−	−	PROPN
cana-4545	139	4	∏	∏	NUM
cana-4545	139	5	(	(	PUNCT
cana-4545	139	6	1	1	NUM
cana-4545	139	7	−	−	NOUN
cana-4545	139	8	ℱ𝛾(x𝑖	ℱ𝛾(x𝑖	NOUN
cana-4545	139	9	)	)	PUNCT
cana-4545	139	10	)	)	PUNCT
cana-4545	139	11	𝑤𝑗	𝑤𝑗	ADP
cana-4545	139	12	𝑘	𝑘	DET
cana-4545	139	13	𝑗=1	𝑗=1	PROPN
cana-4545	139	14	)	)	PUNCT
cana-4545	139	15	(	(	PUNCT
cana-4545	139	16	1	1	NUM
cana-4545	139	17	−	−	PROPN
cana-4545	139	18	(	(	PUNCT
cana-4545	139	19	1	1	NUM
cana-4545	139	20	−	−	PROPN
cana-4545	139	21	ℱ𝛾(x𝑘+1	ℱ𝛾(x𝑘+1	NOUN
cana-4545	139	22	)	)	PUNCT
cana-4545	139	23	)	)	PUNCT
cana-4545	139	24	𝑤𝑘+1	𝑤𝑘+1	X
cana-4545	139	25	)	)	PUNCT
cana-4545	139	26	〉	〉	NOUN
cana-4545	140	1	=	=	PUNCT
cana-4545	140	2	<	<	X
cana-4545	140	3	∏	∏	PROPN
cana-4545	140	4	(	(	PUNCT
cana-4545	140	5	𝒯𝛾(x𝑖	𝒯𝛾(x𝑖	PROPN
cana-4545	140	6	)	)	PUNCT
cana-4545	140	7	)	)	PUNCT
cana-4545	140	8	𝑤𝑗	𝑤𝑗	ADV
cana-4545	140	9	,	,	PUNCT
cana-4545	140	10	𝑘+1	𝑘+1	NUM
cana-4545	140	11	𝑗=1	𝑗=1	PROPN
cana-4545	140	12	1	1	NUM
cana-4545	140	13	−	−	PROPN
cana-4545	140	14	∏	∏	PROPN
cana-4545	140	15	(	(	PUNCT
cana-4545	140	16	1	1	NUM
cana-4545	140	17	−	−	NOUN
cana-4545	140	18	ℐ𝛾(x𝑖	ℐ𝛾(x𝑖	NOUN
cana-4545	140	19	)	)	PUNCT
cana-4545	140	20	)	)	PUNCT
cana-4545	140	21	𝑤𝑗	𝑤𝑗	ADV
cana-4545	140	22	,	,	PUNCT
cana-4545	140	23	𝑘+1	𝑘+1	NUM
cana-4545	140	24	𝑗=1	𝑗=1	PROPN
cana-4545	140	25	1	1	NUM
cana-4545	140	26	−	−	PROPN
cana-4545	140	27	∏	∏	PROPN
cana-4545	140	28	(	(	PUNCT
cana-4545	140	29	1	1	NUM
cana-4545	140	30	−	−	NOUN
cana-4545	140	31	ℱ𝛾(x𝑖	ℱ𝛾(x𝑖	NOUN
cana-4545	140	32	)	)	PUNCT
cana-4545	140	33	)	)	PUNCT
cana-4545	140	34	𝑤𝑗	𝑤𝑗	ADP
cana-4545	140	35	𝑘+1	𝑘+1	NUM
cana-4545	140	36	𝑗=1	𝑗=1	PROPN
cana-4545	140	37	>	>	PUNCT
cana-4545	140	38	.	.	PUNCT
cana-4545	141	1	by	by	ADP
cana-4545	141	2	which	which	DET
cana-4545	141	3	aggregated	aggregate	VERB
cana-4545	141	4	value	value	NOUN
cana-4545	141	5	is	be	AUX
cana-4545	141	6	also	also	ADV
cana-4545	141	7	a	a	DET
cana-4545	141	8	ns	ns	ADJ
cana-4545	141	9	,	,	PUNCT
cana-4545	141	10	therefore	therefore	ADV
cana-4545	141	11	,	,	PUNCT
cana-4545	141	12	when	when	SCONJ
cana-4545	141	13	n	n	X
cana-4545	141	14	=	=	SYM
cana-4545	141	15	k	k	PROPN
cana-4545	142	1	+	+	PROPN
cana-4545	142	2	1	1	NUM
cana-4545	142	3	,	,	PUNCT
cana-4545	142	4	equation	equation	NOUN
cana-4545	142	5	(	(	PUNCT
cana-4545	142	6	1	1	X
cana-4545	142	7	)	)	PUNCT
cana-4545	142	8	holds	hold	VERB
cana-4545	142	9	.	.	PUNCT
cana-4545	143	1	thus	thus	ADV
cana-4545	143	2	,	,	PUNCT
cana-4545	143	3	by	by	ADP
cana-4545	143	4	steps	step	NOUN
cana-4545	143	5	1	1	NUM
cana-4545	143	6	and	and	CCONJ
cana-4545	143	7	2	2	NUM
cana-4545	143	8	,	,	PUNCT
cana-4545	143	9	we	we	PRON
cana-4545	143	10	recognize	recognize	VERB
cana-4545	143	11	that	that	DET
cana-4545	143	12	equation	equation	NOUN
cana-4545	143	13	(	(	PUNCT
cana-4545	143	14	1	1	X
cana-4545	143	15	)	)	PUNCT
cana-4545	143	16	sustain	sustain	VERB
cana-4545	143	17	for	for	ADP
cana-4545	143	18	all	all	DET
cana-4545	143	19	n.	n.	NOUN
cana-4545	143	20	definition	definition	NOUN
cana-4545	143	21	2.3	2.3	NUM
cana-4545	143	22	.	.	PUNCT
cana-4545	144	1	let	let	VERB
cana-4545	144	2	𝛾i	𝛾i	PUNCT
cana-4545	144	3	=	=	PRON
cana-4545	144	4	{	{	PUNCT
cana-4545	144	5	(	(	PUNCT
cana-4545	144	6	𝒯(x𝑖	𝒯(x𝑖	NOUN
cana-4545	144	7	)	)	PUNCT
cana-4545	144	8	,	,	PUNCT
cana-4545	144	9	ℐ(x𝑖	ℐ(x𝑖	NOUN
cana-4545	144	10	)	)	PUNCT
cana-4545	144	11	,	,	PUNCT
cana-4545	144	12	ℱ(x𝑖))|𝑥𝑖	ℱ(x𝑖))|𝑥𝑖	PROPN
cana-4545	144	13	∈	∈	PROPN
cana-4545	144	14	𝑋	𝑋	PROPN
cana-4545	144	15	}	}	PUNCT
cana-4545	144	16	be	be	AUX
cana-4545	144	17	a	a	DET
cana-4545	144	18	ns	ns	NOUN
cana-4545	144	19	set	set	NOUN
cana-4545	144	20	on	on	ADP
cana-4545	144	21	x.	x.	NOUN
cana-4545	144	22	then	then	ADV
cana-4545	144	23	the	the	DET
cana-4545	144	24	entropy	entropy	PROPN
cana-4545	144	25	of	of	ADP
cana-4545	144	26	𝛾i	𝛾i	X
cana-4545	144	27	is	be	AUX
cana-4545	144	28	defined	define	VERB
cana-4545	144	29	as	as	ADP
cana-4545	144	30	,	,	PUNCT
cana-4545	144	31	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	144	32	)	)	PUNCT
cana-4545	144	33	=	=	SYM
cana-4545	144	34	1	1	NUM
cana-4545	144	35	−	−	NUM
cana-4545	144	36	1	1	NUM
cana-4545	144	37	2𝑚	2𝑚	NOUN
cana-4545	144	38	∑	∑	PUNCT
cana-4545	144	39	(	(	PUNCT
cana-4545	144	40	(	(	PUNCT
cana-4545	144	41	𝒯2	𝒯2	PROPN
cana-4545	144	42	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	144	43	)	)	PUNCT
cana-4545	145	1	+	+	CCONJ
cana-4545	145	2	ℐ2	ℐ2	NOUN
cana-4545	145	3	𝛾(x𝑖))𝑚	𝛾(x𝑖))𝑚	VERB
cana-4545	145	4	𝑖=1	𝑖=1	NUM
cana-4545	145	5	|(4ℱ2	|(4ℱ2	PROPN
cana-4545	145	6	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	145	7	)	)	PUNCT
cana-4545	145	8	−	−	PROPN
cana-4545	145	9	1)|	1)|	NUM
cana-4545	145	10	+	+	CCONJ
cana-4545	145	11	(	(	PUNCT
cana-4545	145	12	𝒯2	𝒯2	PROPN
cana-4545	145	13	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	145	14	)	)	PUNCT
cana-4545	145	15	+	+	CCONJ
cana-4545	145	16	ℱ2	ℱ2	PROPN
cana-4545	145	17	𝛾(x𝑖))|(4ℐ2	𝛾(x𝑖))|(4ℐ2	PROPN
cana-4545	145	18	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	145	19	)	)	PUNCT
cana-4545	145	20	−	−	PROPN
cana-4545	145	21	1)|	1)|	NUM
cana-4545	146	1	+	+	CCONJ
cana-4545	146	2	(	(	PUNCT
cana-4545	146	3	ℱ2	ℱ2	PROPN
cana-4545	146	4	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	146	5	)	)	PUNCT
cana-4545	147	1	+	+	CCONJ
cana-4545	147	2	ℐ2	ℐ2	NOUN
cana-4545	147	3	𝛾(x𝑖))|(4𝒯2	𝛾(x𝑖))|(4𝒯2	ADP
cana-4545	147	4	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	147	5	)	)	PUNCT
cana-4545	147	6	−	−	PROPN
cana-4545	147	7	1)|	1)|	NUM
cana-4545	147	8	)	)	PUNCT
cana-4545	147	9	.	.	PUNCT
cana-4545	147	10	.	.	PUNCT
cana-4545	147	11	.	.	PUNCT
cana-4545	147	12	.	.	PUNCT
cana-4545	147	13	.	.	PUNCT
cana-4545	147	14	.	.	PUNCT
cana-4545	148	1	(	(	PUNCT
cana-4545	148	2	2	2	X
cana-4545	148	3	)	)	PUNCT
cana-4545	148	4	theorem	theorem	VERB
cana-4545	148	5	2.4	2.4	NUM
cana-4545	148	6	.	.	PUNCT
cana-4545	149	1	the	the	DET
cana-4545	149	2	proposed	propose	VERB
cana-4545	149	3	entropy	entropy	NOUN
cana-4545	149	4	on	on	ADP
cana-4545	149	5	ns(x	ns(x	X
cana-4545	149	6	)	)	PUNCT
cana-4545	149	7	fulfilling	fulfil	VERB
cana-4545	149	8	the	the	DET
cana-4545	149	9	conditions	condition	NOUN
cana-4545	149	10	:	:	PUNCT
cana-4545	149	11	1	1	X
cana-4545	149	12	.	.	NUM
cana-4545	149	13	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	149	14	)	)	PUNCT
cana-4545	149	15	=	=	SYM
cana-4545	149	16	0	0	NUM
cana-4545	149	17	,	,	PUNCT
cana-4545	149	18	if	if	SCONJ
cana-4545	149	19	𝛾	𝛾	NOUN
cana-4545	149	20	is	be	AUX
cana-4545	149	21	a	a	DET
cana-4545	149	22	crisp	crisp	ADJ
cana-4545	149	23	set	set	NOUN
cana-4545	149	24	ie	ie	X
cana-4545	149	25	.	.	PROPN
cana-4545	149	26	,	,	PUNCT
cana-4545	149	27	𝛾i	𝛾i	X
cana-4545	149	28	=	=	NOUN
cana-4545	149	29	(	(	PUNCT
cana-4545	149	30	𝒯𝛾(𝑦)(x𝑖	𝒯𝛾(𝑦)(x𝑖	NOUN
cana-4545	149	31	)	)	PUNCT
cana-4545	149	32	,	,	PUNCT
cana-4545	149	33	ℐ𝛾(𝑦)(x𝑖	ℐ𝛾(𝑦)(x𝑖	NOUN
cana-4545	149	34	)	)	PUNCT
cana-4545	149	35	,	,	PUNCT
cana-4545	149	36	ℱ𝛾(𝑦)(x𝑖	ℱ𝛾(𝑦)(x𝑖	NOUN
cana-4545	149	37	)	)	PUNCT
cana-4545	149	38	)	)	PUNCT
cana-4545	150	1	=	=	PUNCT
cana-4545	150	2	(	(	PUNCT
cana-4545	150	3	1,0,0	1,0,0	NUM
cana-4545	150	4	)	)	PUNCT
cana-4545	150	5	or	or	CCONJ
cana-4545	150	6	𝛾i	𝛾i	ADJ
cana-4545	150	7	=	=	NOUN
cana-4545	150	8	(	(	PUNCT
cana-4545	150	9	𝒯𝛾(x𝑖	𝒯𝛾(x𝑖	PROPN
cana-4545	150	10	)	)	PUNCT
cana-4545	150	11	,	,	PUNCT
cana-4545	150	12	ℐ𝛾(x𝑖	ℐ𝛾(x𝑖	NOUN
cana-4545	150	13	)	)	PUNCT
cana-4545	150	14	,	,	PUNCT
cana-4545	150	15	ℱ𝛾(x𝑖	ℱ𝛾(x𝑖	NOUN
cana-4545	150	16	)	)	PUNCT
cana-4545	150	17	)	)	PUNCT
cana-4545	151	1	=	=	SYM
cana-4545	151	2	(	(	PUNCT
cana-4545	151	3	0,0,1	0,0,1	NOUN
cana-4545	151	4	)	)	PUNCT
cana-4545	151	5	for	for	ADP
cana-4545	151	6	all	all	PRON
cana-4545	151	7	𝑥𝑖	𝑥𝑖	ADP
cana-4545	151	8	∈	∈	PROPN
cana-4545	151	9	𝑋.	𝑋.	PROPN
cana-4545	151	10	2	2	NUM
cana-4545	151	11	.	.	NUM
cana-4545	151	12	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	151	13	)	)	PUNCT
cana-4545	151	14	=	=	SYM
cana-4545	152	1	1	1	X
cana-4545	152	2	,	,	PUNCT
cana-4545	152	3	if	if	SCONJ
cana-4545	152	4	𝛾i	𝛾i	ADP
cana-4545	152	5	=	=	PRON
cana-4545	152	6	{	{	PUNCT
cana-4545	152	7	(	(	PUNCT
cana-4545	152	8	𝑥𝑖	𝑥𝑖	PROPN
cana-4545	152	9	,	,	PUNCT
cana-4545	152	10	1	1	NUM
cana-4545	152	11	2	2	NUM
cana-4545	152	12	,	,	PUNCT
cana-4545	152	13	1	1	NUM
cana-4545	152	14	2	2	NUM
cana-4545	152	15	,	,	PUNCT
cana-4545	152	16	1	1	NUM
cana-4545	152	17	2	2	NUM
cana-4545	152	18	)	)	PUNCT
cana-4545	152	19	|𝑥𝑖	|𝑥𝑖	PROPN
cana-4545	152	20	∈	∈	PROPN
cana-4545	152	21	𝑋	𝑋	PROPN
cana-4545	152	22	}	}	PUNCT
cana-4545	152	23	3	3	NUM
cana-4545	152	24	.	.	PUNCT
cana-4545	152	25	𝐸(𝛾𝑖	𝐸(𝛾𝑖	NOUN
cana-4545	152	26	)	)	PUNCT
cana-4545	153	1	=	=	SYM
cana-4545	153	2	𝐸(𝛾𝑖	𝐸(𝛾𝑖	PROPN
cana-4545	153	3	𝐶	𝐶	PROPN
cana-4545	153	4	)	)	PUNCT
cana-4545	153	5	,	,	PUNCT
cana-4545	153	6	for	for	ADP
cana-4545	153	7	all	all	DET
cana-4545	153	8	𝛾𝑖	𝛾𝑖	NOUN
cana-4545	153	9	∈	∈	PROPN
cana-4545	153	10	𝑁𝑆𝐻𝑆𝑆(𝑋	𝑁𝑆𝐻𝑆𝑆(𝑋	PROPN
cana-4545	153	11	)	)	PUNCT
cana-4545	153	12	;	;	PUNCT
cana-4545	153	13	4	4	X
cana-4545	153	14	.	.	X
cana-4545	153	15	𝐸(𝛾𝑖	𝐸(𝛾𝑖	PROPN
cana-4545	153	16	)	)	PUNCT
cana-4545	153	17	≤	≤	NUM
cana-4545	153	18	𝐸(𝛿𝑖	𝐸(𝛿𝑖	NOUN
cana-4545	153	19	)	)	PUNCT
cana-4545	153	20	if	if	SCONJ
cana-4545	153	21	either	either	CCONJ
cana-4545	153	22	𝒯𝛾(𝑥𝑖	𝒯𝛾(𝑥𝑖	VERB
cana-4545	153	23	)	)	PUNCT
cana-4545	153	24	≤	≤	NOUN
cana-4545	153	25	𝒯𝛿(𝑥𝑖	𝒯𝛿(𝑥𝑖	VERB
cana-4545	153	26	)	)	PUNCT
cana-4545	153	27	,	,	PUNCT
cana-4545	153	28	ℐ𝛾(𝑥𝑖	ℐ𝛾(𝑥𝑖	NUM
cana-4545	153	29	)	)	PUNCT
cana-4545	153	30	≤	≤	NOUN
cana-4545	153	31	ℐ𝛿(𝑥𝑖	ℐ𝛿(𝑥𝑖	VERB
cana-4545	153	32	)	)	PUNCT
cana-4545	153	33	,	,	PUNCT
cana-4545	153	34	ℱ𝛾(𝑥𝑖	ℱ𝛾(𝑥𝑖	PROPN
cana-4545	153	35	)	)	PUNCT
cana-4545	153	36	≤	≤	NOUN
cana-4545	153	37	ℱ𝛿(𝑥𝑖	ℱ𝛿(𝑥𝑖	VERB
cana-4545	153	38	)	)	PUNCT
cana-4545	153	39	when	when	SCONJ
cana-4545	153	40	𝑚𝑎𝑥	𝑚𝑎𝑥	X
cana-4545	153	41	(	(	PUNCT
cana-4545	153	42	𝒯𝛿(𝑥𝑖	𝒯𝛿(𝑥𝑖	PROPN
cana-4545	153	43	)	)	PUNCT
cana-4545	153	44	,	,	PUNCT
cana-4545	153	45	ℐ𝛿(𝑥𝑖	ℐ𝛿(𝑥𝑖	ADJ
cana-4545	153	46	)	)	PUNCT
cana-4545	153	47	,	,	PUNCT
cana-4545	153	48	ℱ𝛿)(𝑥𝑖	ℱ𝛿)(𝑥𝑖	PROPN
cana-4545	153	49	)	)	PUNCT
cana-4545	153	50	)	)	PUNCT
cana-4545	153	51	≤	≤	NUM
cana-4545	153	52	1	1	NUM
cana-4545	153	53	2	2	NUM
cana-4545	153	54	or	or	CCONJ
cana-4545	153	55	𝒯𝛾(𝑥𝑖	𝒯𝛾(𝑥𝑖	VERB
cana-4545	153	56	)	)	PUNCT
cana-4545	153	57	≥	≥	NOUN
cana-4545	153	58	𝒯𝛿(𝑥𝑖	𝒯𝛿(𝑥𝑖	VERB
cana-4545	153	59	)	)	PUNCT
cana-4545	153	60	,	,	PUNCT
cana-4545	153	61	ℐ𝛾(𝑥𝑖	ℐ𝛾(𝑥𝑖	NUM
cana-4545	153	62	)	)	PUNCT
cana-4545	153	63	≥	≥	NOUN
cana-4545	153	64	ℐ𝛿(𝑥𝑖	ℐ𝛿(𝑥𝑖	VERB
cana-4545	153	65	)	)	PUNCT
cana-4545	153	66	,	,	PUNCT
cana-4545	153	67	ℱ𝛾(𝑥𝑖	ℱ𝛾(𝑥𝑖	PROPN
cana-4545	153	68	)	)	PUNCT
cana-4545	153	69	≥	≥	NOUN
cana-4545	153	70	ℱ𝛿(𝑥𝑖	ℱ𝛿(𝑥𝑖	VERB
cana-4545	153	71	)	)	PUNCT
cana-4545	153	72	when	when	SCONJ
cana-4545	153	73	𝑚𝑖𝑛(𝒯𝛿(𝑥𝑖	𝑚𝑖𝑛(𝒯𝛿(𝑥𝑖	NUM
cana-4545	153	74	)	)	PUNCT
cana-4545	153	75	,	,	PUNCT
cana-4545	153	76	ℐ𝛿(𝑥𝑖	ℐ𝛿(𝑥𝑖	ADJ
cana-4545	153	77	)	)	PUNCT
cana-4545	153	78	,	,	PUNCT
cana-4545	153	79	ℱ𝛿(𝑥𝑖	ℱ𝛿(𝑥𝑖	NUM
cana-4545	153	80	)	)	PUNCT
cana-4545	153	81	)	)	PUNCT
cana-4545	153	82	≥	≥	NOUN
cana-4545	153	83	1	1	NUM
cana-4545	153	84	2	2	NUM
cana-4545	153	85	.	.	PUNCT
cana-4545	154	1	proof	proof	NOUN
cana-4545	154	2	:	:	PUNCT
cana-4545	154	3	1	1	X
cana-4545	154	4	.	.	X
cana-4545	154	5	let	let	VERB
cana-4545	154	6	𝛾i	𝛾i	X
cana-4545	154	7	=	=	NOUN
cana-4545	154	8	(	(	PUNCT
cana-4545	154	9	𝒯𝛾(𝑦)(x𝑖	𝒯𝛾(𝑦)(x𝑖	NOUN
cana-4545	154	10	)	)	PUNCT
cana-4545	154	11	,	,	PUNCT
cana-4545	154	12	ℐ𝛾(𝑦)(x𝑖	ℐ𝛾(𝑦)(x𝑖	NOUN
cana-4545	154	13	)	)	PUNCT
cana-4545	154	14	,	,	PUNCT
cana-4545	154	15	ℱ𝛾(𝑦)(x𝑖	ℱ𝛾(𝑦)(x𝑖	NOUN
cana-4545	154	16	)	)	PUNCT
cana-4545	154	17	)	)	PUNCT
cana-4545	155	1	=	=	PRON
cana-4545	155	2	(	(	PUNCT
cana-4545	155	3	1,0,0	1,0,0	NUM
cana-4545	155	4	)	)	PUNCT
cana-4545	155	5	for	for	ADP
cana-4545	155	6	all	all	PRON
cana-4545	155	7	𝑥𝑖	𝑥𝑖	ADP
cana-4545	155	8	∈	∈	PROPN
cana-4545	155	9	𝑋.	𝑋.	PROPN
cana-4545	155	10	then	then	ADV
cana-4545	155	11	,	,	PUNCT
cana-4545	155	12	communications	communication	NOUN
cana-4545	155	13	on	on	ADP
cana-4545	155	14	applied	apply	VERB
cana-4545	155	15	nonlinear	nonlinear	ADJ
cana-4545	155	16	analysis	analysis	NOUN
cana-4545	155	17	issn	issn	NOUN
cana-4545	155	18	:	:	PUNCT
cana-4545	155	19	1074	1074	NUM
cana-4545	155	20	-	-	PUNCT
cana-4545	155	21	133x	133x	NUM
cana-4545	155	22	vol	vol	NOUN
cana-4545	155	23	32	32	NUM
cana-4545	155	24	no	no	NOUN
cana-4545	155	25	.	.	PUNCT
cana-4545	156	1	9s	9s	NUM
cana-4545	156	2	(	(	PUNCT
cana-4545	156	3	2025	2025	NUM
cana-4545	156	4	)	)	PUNCT
cana-4545	156	5	2641	2641	NUM
cana-4545	156	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	156	7	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	156	8	)	)	PUNCT
cana-4545	156	9	=	=	SYM
cana-4545	156	10	1	1	NUM
cana-4545	156	11	−	−	NUM
cana-4545	156	12	1	1	NUM
cana-4545	156	13	2𝑚	2𝑚	NOUN
cana-4545	156	14	∑	∑	PUNCT
cana-4545	156	15	(	(	PUNCT
cana-4545	156	16	(	(	PUNCT
cana-4545	156	17	𝒯2	𝒯2	PROPN
cana-4545	156	18	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	156	19	)	)	PUNCT
cana-4545	157	1	+	+	CCONJ
cana-4545	157	2	ℐ2	ℐ2	NOUN
cana-4545	157	3	𝛾(x𝑖))𝑚	𝛾(x𝑖))𝑚	VERB
cana-4545	157	4	𝑖=1	𝑖=1	NUM
cana-4545	157	5	|(4ℱ2	|(4ℱ2	PROPN
cana-4545	157	6	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	157	7	)	)	PUNCT
cana-4545	157	8	−	−	PROPN
cana-4545	157	9	1)|	1)|	NUM
cana-4545	157	10	+	+	CCONJ
cana-4545	157	11	(	(	PUNCT
cana-4545	157	12	𝒯2	𝒯2	PROPN
cana-4545	157	13	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	157	14	)	)	PUNCT
cana-4545	157	15	+	+	CCONJ
cana-4545	157	16	ℱ2	ℱ2	PROPN
cana-4545	157	17	𝛾(x𝑖))|(4ℐ2	𝛾(x𝑖))|(4ℐ2	PROPN
cana-4545	157	18	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	157	19	)	)	PUNCT
cana-4545	157	20	−	−	PROPN
cana-4545	157	21	1)|	1)|	NUM
cana-4545	158	1	+	+	CCONJ
cana-4545	158	2	(	(	PUNCT
cana-4545	158	3	ℱ2	ℱ2	PROPN
cana-4545	158	4	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	158	5	)	)	PUNCT
cana-4545	159	1	+	+	CCONJ
cana-4545	159	2	ℐ2	ℐ2	NOUN
cana-4545	159	3	𝛾(x𝑖))|(4𝒯2	𝛾(x𝑖))|(4𝒯2	ADP
cana-4545	159	4	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	159	5	)	)	PUNCT
cana-4545	159	6	−	−	PROPN
cana-4545	159	7	1)|	1)|	NUM
cana-4545	159	8	)	)	PUNCT
cana-4545	159	9	⇒	⇒	NOUN
cana-4545	159	10	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	159	11	)	)	PUNCT
cana-4545	159	12	=	=	SYM
cana-4545	159	13	1	1	NUM
cana-4545	159	14	−	−	NUM
cana-4545	159	15	1	1	NUM
cana-4545	159	16	2𝑚	2𝑚	NOUN
cana-4545	159	17	∑((12	∑((12	NUM
cana-4545	159	18	+	+	CCONJ
cana-4545	159	19	0	0	NUM
cana-4545	159	20	𝑚	𝑚	NOUN
cana-4545	159	21	𝑖=1	𝑖=1	PROPN
cana-4545	159	22	)	)	PUNCT
cana-4545	159	23	|(40	|(40	NUM
cana-4545	159	24	−	−	PROPN
cana-4545	159	25	1)|	1)|	NUM
cana-4545	160	1	+	+	CCONJ
cana-4545	160	2	(	(	PUNCT
cana-4545	160	3	12	12	NUM
cana-4545	160	4	+	+	NUM
cana-4545	160	5	0)|(4	0)|(4	NOUN
cana-4545	160	6	0	0	NUM
cana-4545	160	7	−	−	NUM
cana-4545	160	8	1)|	1)|	NUM
cana-4545	161	1	+	+	CCONJ
cana-4545	161	2	(	(	PUNCT
cana-4545	161	3	0	0	NUM
cana-4545	161	4	+	+	NUM
cana-4545	161	5	0)|(4	0)|(4	NOUN
cana-4545	161	6	1	1	NUM
cana-4545	161	7	−	−	PROPN
cana-4545	161	8	1)|	1)|	NUM
cana-4545	161	9	)	)	PUNCT
cana-4545	161	10	⇒	⇒	NOUN
cana-4545	161	11	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	161	12	)	)	PUNCT
cana-4545	161	13	=	=	SYM
cana-4545	162	1	1	1	NUM
cana-4545	162	2	−	−	NUM
cana-4545	162	3	1	1	NUM
cana-4545	162	4	2𝑚	2𝑚	NOUN
cana-4545	162	5	∑	∑	ADP
cana-4545	162	6	2	2	NUM
cana-4545	162	7	𝑚	𝑚	NOUN
cana-4545	162	8	𝑖=1	𝑖=1	PUNCT
cana-4545	162	9	=	=	SYM
cana-4545	162	10	1	1	NUM
cana-4545	162	11	−	−	NUM
cana-4545	162	12	1	1	NUM
cana-4545	162	13	2𝑚	2𝑚	NOUN
cana-4545	162	14	(	(	PUNCT
cana-4545	162	15	2𝑚	2𝑚	NOUN
cana-4545	162	16	)	)	PUNCT
cana-4545	162	17	=	=	SYM
cana-4545	163	1	1	1	NUM
cana-4545	163	2	−	−	NUM
cana-4545	163	3	1	1	NUM
cana-4545	163	4	=	=	SYM
cana-4545	163	5	0	0	NUM
cana-4545	163	6	similarly	similarly	ADV
cana-4545	163	7	,	,	PUNCT
cana-4545	163	8	if	if	SCONJ
cana-4545	163	9	𝛾i	𝛾i	ADP
cana-4545	163	10	=	=	NOUN
cana-4545	163	11	(	(	PUNCT
cana-4545	163	12	𝒯𝛾(x𝑖	𝒯𝛾(x𝑖	PROPN
cana-4545	163	13	)	)	PUNCT
cana-4545	163	14	,	,	PUNCT
cana-4545	163	15	ℐ𝛾(x𝑖	ℐ𝛾(x𝑖	NOUN
cana-4545	163	16	)	)	PUNCT
cana-4545	163	17	,	,	PUNCT
cana-4545	163	18	ℱ𝛾(x𝑖	ℱ𝛾(x𝑖	NOUN
cana-4545	163	19	)	)	PUNCT
cana-4545	163	20	)	)	PUNCT
cana-4545	164	1	=	=	PRON
cana-4545	164	2	(	(	PUNCT
cana-4545	164	3	0,1,0	0,1,0	NUM
cana-4545	164	4	)	)	PUNCT
cana-4545	164	5	and	and	CCONJ
cana-4545	164	6	(	(	PUNCT
cana-4545	164	7	𝒯𝛾(x𝑖	𝒯𝛾(x𝑖	PROPN
cana-4545	164	8	)	)	PUNCT
cana-4545	164	9	,	,	PUNCT
cana-4545	164	10	ℐ𝛾(x𝑖	ℐ𝛾(x𝑖	NOUN
cana-4545	164	11	)	)	PUNCT
cana-4545	164	12	,	,	PUNCT
cana-4545	164	13	ℱ𝛾(x𝑖	ℱ𝛾(x𝑖	NOUN
cana-4545	164	14	)	)	PUNCT
cana-4545	164	15	)	)	PUNCT
cana-4545	165	1	=	=	SYM
cana-4545	165	2	(	(	PUNCT
cana-4545	165	3	0,0,1	0,0,1	NOUN
cana-4545	165	4	)	)	PUNCT
cana-4545	165	5	∀𝑥𝑖	∀𝑥𝑖	PROPN
cana-4545	165	6	∈	∈	PROPN
cana-4545	165	7	𝑋	𝑋	PROPN
cana-4545	165	8	,	,	PUNCT
cana-4545	165	9	then	then	ADV
cana-4545	165	10	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	165	11	)	)	PUNCT
cana-4545	165	12	=	=	SYM
cana-4545	165	13	0	0	NUM
cana-4545	165	14	.	.	NOUN
cana-4545	166	1	2	2	X
cana-4545	166	2	.	.	X
cana-4545	166	3	let	let	VERB
cana-4545	166	4	𝛾i	𝛾i	X
cana-4545	166	5	=	=	PRON
cana-4545	166	6	{	{	PUNCT
cana-4545	166	7	(	(	PUNCT
cana-4545	166	8	𝑥𝑖	𝑥𝑖	PROPN
cana-4545	166	9	,	,	PUNCT
cana-4545	166	10	1	1	NUM
cana-4545	166	11	2	2	NUM
cana-4545	166	12	,	,	PUNCT
cana-4545	166	13	1	1	NUM
cana-4545	166	14	2	2	NUM
cana-4545	166	15	,	,	PUNCT
cana-4545	166	16	1	1	NUM
cana-4545	166	17	2	2	NUM
cana-4545	166	18	)	)	PUNCT
cana-4545	166	19	|𝑥𝑖	|𝑥𝑖	PROPN
cana-4545	166	20	∈	∈	PROPN
cana-4545	166	21	𝑋	𝑋	PROPN
cana-4545	166	22	}	}	PUNCT
cana-4545	166	23	.	.	PUNCT
cana-4545	167	1	then	then	ADV
cana-4545	167	2	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	167	3	)	)	PUNCT
cana-4545	167	4	=	=	SYM
cana-4545	168	1	1	1	NUM
cana-4545	168	2	−	−	NUM
cana-4545	168	3	1	1	NUM
cana-4545	168	4	2𝑚	2𝑚	NOUN
cana-4545	168	5	∑	∑	PUNCT
cana-4545	168	6	(	(	PUNCT
cana-4545	168	7	(	(	PUNCT
cana-4545	168	8	𝒯2	𝒯2	PROPN
cana-4545	168	9	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	168	10	)	)	PUNCT
cana-4545	168	11	+	+	CCONJ
cana-4545	168	12	ℐ2	ℐ2	NOUN
cana-4545	168	13	𝛾(x𝑖))𝑚	𝛾(x𝑖))𝑚	VERB
cana-4545	168	14	𝑖=1	𝑖=1	NUM
cana-4545	168	15	|(4ℱ2	|(4ℱ2	PROPN
cana-4545	168	16	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	168	17	)	)	PUNCT
cana-4545	168	18	−	−	PROPN
cana-4545	168	19	1)|	1)|	NUM
cana-4545	169	1	+	+	CCONJ
cana-4545	169	2	(	(	PUNCT
cana-4545	169	3	𝒯2	𝒯2	PROPN
cana-4545	169	4	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	169	5	)	)	PUNCT
cana-4545	170	1	+	+	CCONJ
cana-4545	170	2	ℱ2	ℱ2	PROPN
cana-4545	170	3	𝛾(x𝑖))|(4ℐ2	𝛾(x𝑖))|(4ℐ2	PROPN
cana-4545	170	4	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	170	5	)	)	PUNCT
cana-4545	171	1	−	−	PROPN
cana-4545	171	2	1)|	1)|	NUM
cana-4545	171	3	+	+	CCONJ
cana-4545	171	4	(	(	PUNCT
cana-4545	171	5	ℱ2	ℱ2	PROPN
cana-4545	171	6	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	171	7	)	)	PUNCT
cana-4545	172	1	+	+	CCONJ
cana-4545	172	2	ℐ2	ℐ2	NOUN
cana-4545	172	3	𝛾(x𝑖))|(4𝒯2	𝛾(x𝑖))|(4𝒯2	ADP
cana-4545	172	4	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	172	5	)	)	PUNCT
cana-4545	172	6	−	−	PROPN
cana-4545	172	7	1)|	1)|	NUM
cana-4545	172	8	)	)	PUNCT
cana-4545	172	9	⇒	⇒	NOUN
cana-4545	172	10	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	172	11	)	)	PUNCT
cana-4545	172	12	=	=	SYM
cana-4545	172	13	1	1	NUM
cana-4545	172	14	−	−	NUM
cana-4545	172	15	1	1	NUM
cana-4545	172	16	2𝑚	2𝑚	NOUN
cana-4545	172	17	∑	∑	PUNCT
cana-4545	172	18	(	(	PUNCT
cana-4545	172	19	(	(	PUNCT
cana-4545	172	20	1	1	NUM
cana-4545	172	21	22	22	NUM
cana-4545	172	22	+	+	CCONJ
cana-4545	172	23	1	1	NUM
cana-4545	172	24	22	22	NUM
cana-4545	172	25	)	)	PUNCT
cana-4545	172	26	)	)	PUNCT
cana-4545	173	1	|(4	|(4	NOUN
cana-4545	173	2	(	(	PUNCT
cana-4545	173	3	1	1	NUM
cana-4545	173	4	22	22	NUM
cana-4545	173	5	)	)	PUNCT
cana-4545	173	6	−	−	PROPN
cana-4545	173	7	1)|	1)|	NUM
cana-4545	173	8	𝑚	𝑚	X
cana-4545	173	9	𝑖=1	𝑖=1	PUNCT
cana-4545	174	1	+	+	CCONJ
cana-4545	174	2	(	(	PUNCT
cana-4545	174	3	1	1	NUM
cana-4545	174	4	22	22	NUM
cana-4545	174	5	+	+	CCONJ
cana-4545	174	6	1	1	NUM
cana-4545	174	7	22	22	NUM
cana-4545	174	8	)	)	PUNCT
cana-4545	174	9	|(4	|(4	NOUN
cana-4545	174	10	(	(	PUNCT
cana-4545	174	11	1	1	NUM
cana-4545	174	12	22	22	NUM
cana-4545	174	13	)	)	PUNCT
cana-4545	174	14	−	−	PROPN
cana-4545	174	15	1)|	1)|	NUM
cana-4545	175	1	+	+	CCONJ
cana-4545	175	2	(	(	PUNCT
cana-4545	175	3	1	1	NUM
cana-4545	175	4	22	22	NUM
cana-4545	175	5	+	+	CCONJ
cana-4545	175	6	1	1	NUM
cana-4545	175	7	22	22	NUM
cana-4545	175	8	)	)	PUNCT
cana-4545	175	9	|(4	|(4	NOUN
cana-4545	175	10	(	(	PUNCT
cana-4545	175	11	1	1	NUM
cana-4545	175	12	22	22	NUM
cana-4545	175	13	)	)	PUNCT
cana-4545	175	14	−	−	PROPN
cana-4545	175	15	1)|	1)|	NUM
cana-4545	175	16	⇒	⇒	NOUN
cana-4545	175	17	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	175	18	)	)	PUNCT
cana-4545	175	19	=	=	SYM
cana-4545	175	20	1	1	NUM
cana-4545	175	21	−	−	NUM
cana-4545	175	22	1	1	NUM
cana-4545	175	23	2𝑚	2𝑚	NOUN
cana-4545	175	24	∑	∑	PUNCT
cana-4545	175	25	(	(	PUNCT
cana-4545	175	26	(	(	PUNCT
cana-4545	175	27	1	1	NUM
cana-4545	175	28	4	4	NUM
cana-4545	175	29	+	+	CCONJ
cana-4545	175	30	1	1	NUM
cana-4545	175	31	4	4	NUM
cana-4545	175	32	)	)	PUNCT
cana-4545	176	1	|(1	|(1	PROPN
cana-4545	176	2	−	−	PROPN
cana-4545	176	3	1)|	1)|	NUM
cana-4545	177	1	+	+	CCONJ
cana-4545	177	2	(	(	PUNCT
cana-4545	177	3	1	1	NUM
cana-4545	177	4	4	4	NUM
cana-4545	177	5	+	+	CCONJ
cana-4545	177	6	1	1	NUM
cana-4545	177	7	4	4	NUM
cana-4545	177	8	)	)	PUNCT
cana-4545	177	9	|(1	|(1	PROPN
cana-4545	177	10	−	−	PROPN
cana-4545	177	11	1)|	1)|	NUM
cana-4545	178	1	+	+	CCONJ
cana-4545	178	2	(	(	PUNCT
cana-4545	178	3	1	1	NUM
cana-4545	178	4	4	4	NUM
cana-4545	178	5	+	+	CCONJ
cana-4545	178	6	1	1	NUM
cana-4545	178	7	4	4	NUM
cana-4545	178	8	)	)	PUNCT
cana-4545	178	9	|(1	|(1	PROPN
cana-4545	178	10	−	−	PROPN
cana-4545	178	11	1)|	1)|	NUM
cana-4545	178	12	)	)	PUNCT
cana-4545	178	13	𝑚	𝑚	X
cana-4545	178	14	𝑖=1	𝑖=1	PUNCT
cana-4545	178	15	=	=	SYM
cana-4545	178	16	1	1	NUM
cana-4545	178	17	−	−	NOUN
cana-4545	178	18	0	0	NUM
cana-4545	179	1	=	=	SYM
cana-4545	179	2	1	1	NUM
cana-4545	179	3	.	.	NOUN
cana-4545	180	1	3	3	X
cana-4545	180	2	.	.	X
cana-4545	181	1	let	let	VERB
cana-4545	181	2	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	181	3	)	)	PUNCT
cana-4545	181	4	=	=	SYM
cana-4545	181	5	1	1	NUM
cana-4545	181	6	−	−	NUM
cana-4545	181	7	1	1	NUM
cana-4545	181	8	2𝑚	2𝑚	NOUN
cana-4545	181	9	∑	∑	PUNCT
cana-4545	181	10	(	(	PUNCT
cana-4545	181	11	(	(	PUNCT
cana-4545	181	12	𝒯2	𝒯2	PROPN
cana-4545	181	13	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	181	14	)	)	PUNCT
cana-4545	182	1	+	+	CCONJ
cana-4545	182	2	ℐ2	ℐ2	NOUN
cana-4545	182	3	𝛾(x𝑖))𝑚	𝛾(x𝑖))𝑚	VERB
cana-4545	182	4	𝑖=1	𝑖=1	NUM
cana-4545	182	5	|(4ℱ2	|(4ℱ2	PROPN
cana-4545	182	6	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	182	7	)	)	PUNCT
cana-4545	182	8	−	−	PROPN
cana-4545	182	9	1)|	1)|	NUM
cana-4545	182	10	+	+	CCONJ
cana-4545	182	11	(	(	PUNCT
cana-4545	182	12	𝒯2	𝒯2	PROPN
cana-4545	182	13	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	182	14	)	)	PUNCT
cana-4545	182	15	+	+	CCONJ
cana-4545	182	16	ℱ2	ℱ2	PROPN
cana-4545	182	17	𝛾(x𝑖))|(4ℐ2	𝛾(x𝑖))|(4ℐ2	PROPN
cana-4545	182	18	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	182	19	)	)	PUNCT
cana-4545	182	20	−	−	PROPN
cana-4545	182	21	1)|	1)|	NUM
cana-4545	183	1	+	+	CCONJ
cana-4545	183	2	(	(	PUNCT
cana-4545	183	3	ℱ2	ℱ2	PROPN
cana-4545	183	4	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	183	5	)	)	PUNCT
cana-4545	184	1	+	+	CCONJ
cana-4545	184	2	ℐ2	ℐ2	NOUN
cana-4545	184	3	𝛾(x𝑖))|(4𝒯2	𝛾(x𝑖))|(4𝒯2	ADP
cana-4545	184	4	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	184	5	)	)	PUNCT
cana-4545	184	6	−	−	PROPN
cana-4545	184	7	1)|	1)|	NUM
cana-4545	184	8	)	)	PUNCT
cana-4545	184	9	⇒	⇒	NOUN
cana-4545	184	10	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	184	11	)	)	PUNCT
cana-4545	184	12	=	=	SYM
cana-4545	184	13	1	1	NUM
cana-4545	184	14	−	−	NUM
cana-4545	184	15	1	1	NUM
cana-4545	184	16	2𝑚	2𝑚	NOUN
cana-4545	184	17	∑	∑	PUNCT
cana-4545	184	18	(	(	PUNCT
cana-4545	184	19	(	(	PUNCT
cana-4545	184	20	ℱ2	ℱ2	PROPN
cana-4545	184	21	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	184	22	)	)	PUNCT
cana-4545	185	1	+	+	CCONJ
cana-4545	185	2	ℐ2	ℐ2	NOUN
cana-4545	185	3	𝛾(x𝑖)𝑚	𝛾(x𝑖)𝑚	NOUN
cana-4545	185	4	𝑖=1	𝑖=1	PROPN
cana-4545	185	5	)	)	PUNCT
cana-4545	185	6	|(4𝒯2	|(4𝒯2	PROPN
cana-4545	185	7	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	185	8	)	)	PUNCT
cana-4545	185	9	−	−	PROPN
cana-4545	185	10	1)|	1)|	NUM
cana-4545	185	11	+	+	CCONJ
cana-4545	185	12	(	(	PUNCT
cana-4545	185	13	ℱ2	ℱ2	PROPN
cana-4545	185	14	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	185	15	)	)	PUNCT
cana-4545	186	1	+	+	CCONJ
cana-4545	186	2	𝒯2	𝒯2	PROPN
cana-4545	186	3	𝛾(x𝑖))|(4ℐ2	𝛾(x𝑖))|(4ℐ2	PROPN
cana-4545	186	4	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	186	5	)	)	PUNCT
cana-4545	186	6	−	−	PROPN
cana-4545	186	7	1)|	1)|	NUM
cana-4545	187	1	+	+	CCONJ
cana-4545	187	2	(	(	PUNCT
cana-4545	187	3	𝒯2	𝒯2	PROPN
cana-4545	187	4	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	187	5	)	)	PUNCT
cana-4545	188	1	+	+	CCONJ
cana-4545	188	2	ℐ2	ℐ2	NOUN
cana-4545	188	3	𝛾(x𝑖))|(4ℱ2	𝛾(x𝑖))|(4ℱ2	NOUN
cana-4545	188	4	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	188	5	)	)	PUNCT
cana-4545	188	6	−	−	PROPN
cana-4545	188	7	1)|	1)|	NUM
cana-4545	188	8	)	)	PUNCT
cana-4545	188	9	=	=	X
cana-4545	188	10	𝐸(𝛾i	𝐸(𝛾i	PROPN
cana-4545	188	11	𝐶	𝐶	PROPN
cana-4545	188	12	)	)	PUNCT
cana-4545	188	13	.	.	PUNCT
cana-4545	189	1	4	4	X
cana-4545	189	2	.	.	X
cana-4545	189	3	let	let	VERB
cana-4545	189	4	𝒯𝛾(x𝑖	𝒯𝛾(x𝑖	NOUN
cana-4545	189	5	)	)	PUNCT
cana-4545	189	6	≤	≤	NOUN
cana-4545	189	7	𝒯𝛿(x𝑖	𝒯𝛿(x𝑖	NOUN
cana-4545	189	8	)	)	PUNCT
cana-4545	189	9	,	,	PUNCT
cana-4545	189	10	ℐ𝛾(x𝑖	ℐ𝛾(x𝑖	NOUN
cana-4545	189	11	)	)	PUNCT
cana-4545	189	12	≤	≤	NUM
cana-4545	189	13	ℐ𝛿(x𝑖	ℐ𝛿(x𝑖	NOUN
cana-4545	189	14	)	)	PUNCT
cana-4545	189	15	,	,	PUNCT
cana-4545	189	16	ℱ𝛾(x𝑖	ℱ𝛾(x𝑖	NOUN
cana-4545	189	17	)	)	PUNCT
cana-4545	189	18	≤	≤	NOUN
cana-4545	189	19	ℱ𝛿(x𝑖	ℱ𝛿(x𝑖	NOUN
cana-4545	189	20	)	)	PUNCT
cana-4545	189	21	and	and	CCONJ
cana-4545	189	22	𝑚𝑎𝑥(𝒯𝛿(x𝑖	𝑚𝑎𝑥(𝒯𝛿(x𝑖	NOUN
cana-4545	189	23	)	)	PUNCT
cana-4545	189	24	,	,	PUNCT
cana-4545	189	25	ℐ𝛿(x𝑖	ℐ𝛿(x𝑖	NOUN
cana-4545	189	26	)	)	PUNCT
cana-4545	189	27	,	,	PUNCT
cana-4545	189	28	ℱ𝛿(x𝑖	ℱ𝛿(x𝑖	NOUN
cana-4545	189	29	)	)	PUNCT
cana-4545	189	30	)	)	PUNCT
cana-4545	189	31	≤	≤	NUM
cana-4545	189	32	1	1	NUM
cana-4545	189	33	2	2	NUM
cana-4545	189	34	.	.	PUNCT
cana-4545	190	1	then	then	ADV
cana-4545	190	2	,	,	PUNCT
cana-4545	190	3	1	1	NUM
cana-4545	190	4	−	−	NUM
cana-4545	190	5	1	1	NUM
cana-4545	190	6	2𝑚	2𝑚	NOUN
cana-4545	190	7	∑	∑	PUNCT
cana-4545	190	8	(	(	PUNCT
cana-4545	190	9	(	(	PUNCT
cana-4545	190	10	𝒯2	𝒯2	PROPN
cana-4545	190	11	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	190	12	)	)	PUNCT
cana-4545	191	1	+	+	CCONJ
cana-4545	191	2	ℐ2	ℐ2	NOUN
cana-4545	191	3	𝛾(x𝑖)𝑚	𝛾(x𝑖)𝑚	NOUN
cana-4545	191	4	𝑖=1	𝑖=1	PROPN
cana-4545	191	5	)	)	PUNCT
cana-4545	191	6	|(4ℱ2	|(4ℱ2	PROPN
cana-4545	191	7	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	191	8	)	)	PUNCT
cana-4545	191	9	)	)	PUNCT
cana-4545	192	1	−	−	PROPN
cana-4545	192	2	1)|	1)|	NUM
cana-4545	193	1	+	+	CCONJ
cana-4545	193	2	(	(	PUNCT
cana-4545	193	3	𝒯2	𝒯2	PROPN
cana-4545	193	4	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	193	5	)	)	PUNCT
cana-4545	193	6	+	+	CCONJ
cana-4545	193	7	ℱ2	ℱ2	PROPN
cana-4545	193	8	𝛾(x𝑖))|(4ℐ2ℐ𝛾(x𝑖	𝛾(x𝑖))|(4ℐ2ℐ𝛾(x𝑖	NOUN
cana-4545	193	9	)	)	PUNCT
cana-4545	193	10	−	−	PROPN
cana-4545	193	11	1)|	1)|	NUM
cana-4545	194	1	+	+	CCONJ
cana-4545	194	2	(	(	PUNCT
cana-4545	194	3	ℱ2	ℱ2	PROPN
cana-4545	194	4	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	194	5	)	)	PUNCT
cana-4545	194	6	+	+	CCONJ
cana-4545	194	7	ℐ2	ℐ2	NOUN
cana-4545	194	8	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	194	9	)	)	PUNCT
cana-4545	194	10	)	)	PUNCT
cana-4545	194	11	|(4𝒯2	|(4𝒯2	PROPN
cana-4545	194	12	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	194	13	)	)	PUNCT
cana-4545	194	14	−	−	PROPN
cana-4545	194	15	1)|	1)|	NUM
cana-4545	194	16	≤	≤	NUM
cana-4545	194	17	communications	communication	NOUN
cana-4545	194	18	on	on	ADP
cana-4545	194	19	applied	apply	VERB
cana-4545	194	20	nonlinear	nonlinear	ADJ
cana-4545	194	21	analysis	analysis	NOUN
cana-4545	194	22	issn	issn	NOUN
cana-4545	194	23	:	:	PUNCT
cana-4545	194	24	1074	1074	NUM
cana-4545	194	25	-	-	PUNCT
cana-4545	194	26	133x	133x	NUM
cana-4545	194	27	vol	vol	NOUN
cana-4545	194	28	32	32	NUM
cana-4545	194	29	no	no	NOUN
cana-4545	194	30	.	.	PUNCT
cana-4545	195	1	9s	9s	NUM
cana-4545	195	2	(	(	PUNCT
cana-4545	195	3	2025	2025	NUM
cana-4545	195	4	)	)	PUNCT
cana-4545	195	5	2642	2642	NUM
cana-4545	196	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	196	2	1	1	NUM
cana-4545	196	3	−	−	NUM
cana-4545	196	4	1	1	NUM
cana-4545	196	5	2𝑚	2𝑚	NOUN
cana-4545	196	6	∑	∑	PUNCT
cana-4545	196	7	(	(	PUNCT
cana-4545	196	8	(	(	PUNCT
cana-4545	196	9	𝒯2	𝒯2	PROPN
cana-4545	196	10	𝛿(x𝑖	𝛿(x𝑖	NOUN
cana-4545	196	11	)	)	PUNCT
cana-4545	197	1	+	+	CCONJ
cana-4545	197	2	ℐ2	ℐ2	NOUN
cana-4545	197	3	𝛿(x𝑖)𝑚	𝛿(x𝑖)𝑚	VERB
cana-4545	197	4	𝑖=1	𝑖=1	PUNCT
cana-4545	197	5	)	)	PUNCT
cana-4545	197	6	|(4ℱ2	|(4ℱ2	PROPN
cana-4545	197	7	𝛿(x𝑖	𝛿(x𝑖	NOUN
cana-4545	197	8	)	)	PUNCT
cana-4545	197	9	−	−	PROPN
cana-4545	197	10	1)|	1)|	NUM
cana-4545	198	1	+	+	CCONJ
cana-4545	198	2	(	(	PUNCT
cana-4545	198	3	𝒯2	𝒯2	PROPN
cana-4545	198	4	𝛿(x𝑖	𝛿(x𝑖	PROPN
cana-4545	198	5	)	)	PUNCT
cana-4545	199	1	+	+	CCONJ
cana-4545	199	2	ℱ2	ℱ2	PROPN
cana-4545	199	3	𝛿(x𝑖))|(4ℐ2	𝛿(x𝑖))|(4ℐ2	PROPN
cana-4545	199	4	𝛿(x𝑖	𝛿(x𝑖	NOUN
cana-4545	199	5	)	)	PUNCT
cana-4545	199	6	−	−	PROPN
cana-4545	199	7	1)|	1)|	NUM
cana-4545	199	8	+	+	CCONJ
cana-4545	199	9	(	(	PUNCT
cana-4545	199	10	ℱ2	ℱ2	NOUN
cana-4545	199	11	𝛿(x𝑖	𝛿(x𝑖	NOUN
cana-4545	199	12	)	)	PUNCT
cana-4545	200	1	+	+	CCONJ
cana-4545	201	1	ℐ2	ℐ2	NOUN
cana-4545	201	2	𝛿(x𝑖))|(4𝒯2	𝛿(x𝑖))|(4𝒯2	PROPN
cana-4545	201	3	𝛿(x𝑖	𝛿(x𝑖	NOUN
cana-4545	201	4	)	)	PUNCT
cana-4545	201	5	−	−	PROPN
cana-4545	201	6	1)|	1)|	NUM
cana-4545	201	7	)	)	PUNCT
cana-4545	201	8	when	when	SCONJ
cana-4545	201	9	𝑚𝑎𝑥(𝒯𝛿(x𝑖	𝑚𝑎𝑥(𝒯𝛿(x𝑖	NOUN
cana-4545	201	10	)	)	PUNCT
cana-4545	201	11	,	,	PUNCT
cana-4545	201	12	ℐ𝛿(x𝑖	ℐ𝛿(x𝑖	NOUN
cana-4545	201	13	)	)	PUNCT
cana-4545	201	14	,	,	PUNCT
cana-4545	201	15	ℱ𝛿(x𝑖	ℱ𝛿(x𝑖	NOUN
cana-4545	201	16	)	)	PUNCT
cana-4545	201	17	)	)	PUNCT
cana-4545	201	18	≤	≤	NUM
cana-4545	201	19	1	1	NUM
cana-4545	201	20	2	2	NUM
cana-4545	201	21	.	.	PUNCT
cana-4545	202	1	3	3	X
cana-4545	202	2	.	.	NUM
cana-4545	202	3	neutrosophic	neutrosophic	ADJ
cana-4545	202	4	sets	set	NOUN
cana-4545	202	5	in	in	ADP
cana-4545	202	6	madm	madm	NOUN
cana-4545	202	7	the	the	DET
cana-4545	202	8	selection	selection	NOUN
cana-4545	202	9	of	of	ADP
cana-4545	202	10	an	an	DET
cana-4545	202	11	optimal	optimal	ADJ
cana-4545	202	12	hospital	hospital	NOUN
cana-4545	202	13	for	for	ADP
cana-4545	202	14	healthcare	healthcare	NOUN
cana-4545	202	15	services	service	NOUN
cana-4545	202	16	is	be	AUX
cana-4545	202	17	a	a	DET
cana-4545	202	18	complex	complex	ADJ
cana-4545	202	19	decision	decision	NOUN
cana-4545	202	20	-	-	PUNCT
cana-4545	202	21	making	make	VERB
cana-4545	202	22	problem	problem	NOUN
cana-4545	202	23	due	due	ADP
cana-4545	202	24	to	to	ADP
cana-4545	202	25	the	the	DET
cana-4545	202	26	involvement	involvement	NOUN
cana-4545	202	27	of	of	ADP
cana-4545	202	28	multiple	multiple	ADJ
cana-4545	202	29	,	,	PUNCT
cana-4545	202	30	often	often	ADV
cana-4545	202	31	conflicting	conflict	VERB
cana-4545	202	32	,	,	PUNCT
cana-4545	202	33	criteria	criterion	NOUN
cana-4545	202	34	such	such	ADJ
cana-4545	202	35	as	as	ADP
cana-4545	202	36	quality	quality	NOUN
cana-4545	202	37	of	of	ADP
cana-4545	202	38	care	care	NOUN
cana-4545	202	39	,	,	PUNCT
cana-4545	202	40	infrastructure	infrastructure	NOUN
cana-4545	202	41	,	,	PUNCT
cana-4545	202	42	staff	staff	NOUN
cana-4545	202	43	expertise	expertise	NOUN
cana-4545	202	44	,	,	PUNCT
cana-4545	202	45	cost	cost	NOUN
cana-4545	202	46	,	,	PUNCT
cana-4545	202	47	and	and	CCONJ
cana-4545	202	48	patient	patient	ADJ
cana-4545	202	49	satisfaction	satisfaction	NOUN
cana-4545	202	50	.	.	PUNCT
cana-4545	203	1	this	this	DET
cana-4545	203	2	approach	approach	NOUN
cana-4545	203	3	neutrosophic	neutrosophic	ADJ
cana-4545	203	4	methods	method	NOUN
cana-4545	203	5	in	in	ADP
cana-4545	203	6	handling	handle	VERB
cana-4545	203	7	uncertainty	uncertainty	NOUN
cana-4545	203	8	and	and	CCONJ
cana-4545	203	9	imprecision	imprecision	NOUN
cana-4545	203	10	through	through	ADP
cana-4545	203	11	the	the	DET
cana-4545	203	12	ns	ns	NUM
cana-4545	203	13	model	model	NOUN
cana-4545	203	14	.	.	PUNCT
cana-4545	204	1	the	the	DET
cana-4545	204	2	proposed	propose	VERB
cana-4545	204	3	methodology	methodology	NOUN
cana-4545	204	4	benefits	benefit	VERB
cana-4545	204	5	customers	customer	NOUN
cana-4545	204	6	by	by	ADP
cana-4545	204	7	enabling	enable	VERB
cana-4545	204	8	informed	informed	ADJ
cana-4545	204	9	choices	choice	NOUN
cana-4545	204	10	,	,	PUNCT
cana-4545	204	11	making	make	VERB
cana-4545	204	12	the	the	DET
cana-4545	204	13	review	review	NOUN
cana-4545	204	14	process	process	NOUN
cana-4545	204	15	both	both	CCONJ
cana-4545	204	16	comprehensive	comprehensive	ADJ
cana-4545	204	17	and	and	CCONJ
cana-4545	204	18	reliable	reliable	ADJ
cana-4545	204	19	.	.	PUNCT
cana-4545	205	1	3.1	3.1	NUM
cana-4545	205	2	algorithm	algorithm	NOUN
cana-4545	205	3	:	:	PUNCT
cana-4545	205	4	multi	multi	ADJ
cana-4545	205	5	-	-	ADJ
cana-4545	205	6	attribute	attribute	NOUN
cana-4545	205	7	decision	decision	NOUN
cana-4545	205	8	-	-	PUNCT
cana-4545	205	9	making	making	NOUN
cana-4545	205	10	using	use	VERB
cana-4545	205	11	ns	ns	ADJ
cana-4545	205	12	and	and	CCONJ
cana-4545	205	13	entropy	entropy	NOUN
cana-4545	205	14	step	step	NOUN
cana-4545	205	15	1	1	NUM
cana-4545	205	16	:	:	PUNCT
cana-4545	205	17	initialize	initialize	VERB
cana-4545	205	18	the	the	DET
cana-4545	205	19	process	process	NOUN
cana-4545	205	20	to	to	PART
cana-4545	205	21	evaluate	evaluate	VERB
cana-4545	205	22	each	each	DET
cana-4545	205	23	criterion	criterion	NOUN
cana-4545	205	24	,	,	PUNCT
cana-4545	205	25	it	it	PRON
cana-4545	205	26	is	be	AUX
cana-4545	205	27	necessary	necessary	ADJ
cana-4545	205	28	to	to	PART
cana-4545	205	29	first	first	ADV
cana-4545	205	30	identify	identify	VERB
cana-4545	205	31	the	the	DET
cana-4545	205	32	decision	decision	NOUN
cana-4545	205	33	-	-	PUNCT
cana-4545	205	34	makers	maker	NOUN
cana-4545	205	35	𝜅=	𝜅=	CCONJ
cana-4545	205	36	{	{	PUNCT
cana-4545	205	37	𝜅1	𝜅1	PROPN
cana-4545	205	38	,	,	PUNCT
cana-4545	205	39	𝜅2	𝜅2	NOUN
cana-4545	205	40	,	,	PUNCT
cana-4545	205	41	.	.	PUNCT
cana-4545	206	1	…	…	PUNCT
cana-4545	206	2	..	..	PUNCT
cana-4545	206	3	𝜅n	𝜅n	VERB
cana-4545	206	4	}	}	PUNCT
cana-4545	206	5	criteria	criterion	NOUN
cana-4545	206	6	𝛻={𝛻1	𝛻={𝛻1	NOUN
cana-4545	206	7	,	,	PUNCT
cana-4545	206	8	𝛻2	𝛻2	NOUN
cana-4545	206	9	,	,	PUNCT
cana-4545	206	10	…	…	PUNCT
cana-4545	206	11	..	..	PUNCT
cana-4545	206	12	𝛻n	𝛻n	NOUN
cana-4545	206	13	}	}	PUNCT
cana-4545	206	14	,	,	PUNCT
cana-4545	206	15	and	and	CCONJ
cana-4545	206	16	alternatives	alternative	NOUN
cana-4545	206	17	𝛺=	𝛺=	PROPN
cana-4545	206	18	{	{	PUNCT
cana-4545	206	19	𝛺1	𝛺1	PROPN
cana-4545	206	20	,	,	PUNCT
cana-4545	206	21	𝛺2	𝛺2	PROPN
cana-4545	206	22	…	…	PUNCT
cana-4545	206	23	.	.	PROPN
cana-4545	206	24	,	,	PUNCT
cana-4545	206	25	𝛺n	𝛺n	PROPN
cana-4545	206	26	}	}	PUNCT
cana-4545	206	27	,	,	PUNCT
cana-4545	206	28	then	then	ADV
cana-4545	206	29	gather	gather	VERB
cana-4545	206	30	input	input	NOUN
cana-4545	206	31	data	datum	NOUN
cana-4545	206	32	from	from	ADP
cana-4545	206	33	the	the	DET
cana-4545	206	34	decision	decision	NOUN
cana-4545	206	35	-	-	PUNCT
cana-4545	206	36	makers	maker	NOUN
cana-4545	206	37	.	.	PUNCT
cana-4545	207	1	step	step	NOUN
cana-4545	207	2	2	2	NUM
cana-4545	207	3	:	:	PUNCT
cana-4545	207	4	selection	selection	NOUN
cana-4545	207	5	of	of	ADP
cana-4545	207	6	criteria	criterion	NOUN
cana-4545	207	7	and	and	CCONJ
cana-4545	207	8	decision	decision	NOUN
cana-4545	207	9	makers	maker	NOUN
cana-4545	207	10	select	select	VERB
cana-4545	207	11	the	the	DET
cana-4545	207	12	decision	decision	NOUN
cana-4545	207	13	-	-	PUNCT
cana-4545	207	14	makers	maker	NOUN
cana-4545	207	15	𝜅=	𝜅=	CCONJ
cana-4545	207	16	{	{	PUNCT
cana-4545	207	17	𝜅1	𝜅1	PROPN
cana-4545	207	18	,	,	PUNCT
cana-4545	207	19	𝜅2,	𝜅2,	ADV
cana-4545	207	20	…	…	SYM
cana-4545	207	21	…	…	PUNCT
cana-4545	207	22	n	n	CCONJ
cana-4545	207	23	}	}	PUNCT
cana-4545	207	24	who	who	PRON
cana-4545	207	25	will	will	AUX
cana-4545	207	26	assess	assess	VERB
cana-4545	207	27	the	the	DET
cana-4545	207	28	criteria	criterion	NOUN
cana-4545	207	29	𝛻={𝛻1	𝛻={𝛻1	NOUN
cana-4545	207	30	,	,	PUNCT
cana-4545	207	31	𝛻2	𝛻2	NOUN
cana-4545	207	32	,	,	PUNCT
cana-4545	207	33	…	…	PUNCT
cana-4545	207	34	..	..	PUNCT
cana-4545	207	35	𝛻n	𝛻n	PUNCT
cana-4545	207	36	}	}	PUNCT
cana-4545	207	37	and	and	CCONJ
cana-4545	207	38	alternatives	alternative	NOUN
cana-4545	207	39	after	after	SCONJ
cana-4545	207	40	it	it	PRON
cana-4545	207	41	has	have	AUX
cana-4545	207	42	been	be	AUX
cana-4545	207	43	established	establish	VERB
cana-4545	207	44	which	which	DET
cana-4545	207	45	criteria	criterion	NOUN
cana-4545	207	46	bear	bear	VERB
cana-4545	207	47	on	on	ADP
cana-4545	207	48	the	the	DET
cana-4545	207	49	decisionmaking	decisionmake	VERB
cana-4545	207	50	process	process	NOUN
cana-4545	207	51	.	.	PUNCT
cana-4545	208	1	step	step	NOUN
cana-4545	208	2	3	3	NUM
cana-4545	208	3	:	:	PUNCT
cana-4545	208	4	formulate	formulate	ADJ
cana-4545	208	5	propositions	proposition	NOUN
cana-4545	208	6	using	use	VERB
cana-4545	208	7	nshss	nshss	NOUN
cana-4545	208	8	utilise	utilise	VERB
cana-4545	208	9	attributes	attribute	NOUN
cana-4545	208	10	and	and	CCONJ
cana-4545	208	11	sub	sub	NOUN
cana-4545	208	12	-	-	ADJ
cana-4545	208	13	attributes	attribute	NOUN
cana-4545	208	14	to	to	PART
cana-4545	208	15	create	create	VERB
cana-4545	208	16	power	power	NOUN
cana-4545	208	17	sets	set	NOUN
cana-4545	208	18	of	of	ADP
cana-4545	208	19	criteria	criterion	NOUN
cana-4545	208	20	and	and	CCONJ
cana-4545	208	21	an	an	DET
cana-4545	208	22	nshss	nshss	NOUN
cana-4545	208	23	architecture	architecture	NOUN
cana-4545	208	24	.	.	PUNCT
cana-4545	209	1	the	the	DET
cana-4545	209	2	evaluation	evaluation	NOUN
cana-4545	209	3	of	of	ADP
cana-4545	209	4	each	each	DET
cana-4545	209	5	alternative	alternative	NOUN
cana-4545	209	6	is	be	AUX
cana-4545	209	7	then	then	ADV
cana-4545	209	8	represented	represent	VERB
cana-4545	209	9	as	as	SCONJ
cana-4545	209	10	follows	follow	VERB
cana-4545	209	11	:	:	PUNCT
cana-4545	209	12	𝛾i	𝛾i	X
cana-4545	209	13	=	=	X
cana-4545	209	14	(	(	PUNCT
cana-4545	209	15	𝒯𝛾(x𝑖	𝒯𝛾(x𝑖	PROPN
cana-4545	209	16	)	)	PUNCT
cana-4545	209	17	,	,	PUNCT
cana-4545	209	18	ℐ𝛾(x𝑖	ℐ𝛾(x𝑖	NOUN
cana-4545	209	19	)	)	PUNCT
cana-4545	209	20	,	,	PUNCT
cana-4545	209	21	ℱ𝛾(x𝑖	ℱ𝛾(x𝑖	NOUN
cana-4545	209	22	)	)	PUNCT
cana-4545	209	23	)	)	PUNCT
cana-4545	209	24	.	.	PUNCT
cana-4545	210	1	step	step	NOUN
cana-4545	210	2	4	4	NUM
cana-4545	210	3	:	:	PUNCT
cana-4545	210	4	linguistic	linguistic	ADJ
cana-4545	210	5	evaluation	evaluation	NOUN
cana-4545	210	6	of	of	ADP
cana-4545	210	7	each	each	DET
cana-4545	210	8	criterion	criterion	NOUN
cana-4545	210	9	•	•	ADP
cana-4545	210	10	decision	decision	NOUN
cana-4545	210	11	-	-	PUNCT
cana-4545	210	12	makers	maker	NOUN
cana-4545	210	13	'	'	PART
cana-4545	210	14	linguistic	linguistic	ADJ
cana-4545	210	15	evaluations	evaluation	NOUN
cana-4545	210	16	for	for	ADP
cana-4545	210	17	each	each	PRON
cana-4545	210	18	of	of	ADP
cana-4545	210	19	the	the	DET
cana-4545	210	20	nss	nss	NOUN
cana-4545	210	21	criteria	criterion	NOUN
cana-4545	210	22	𝛻={𝛻1	𝛻={𝛻1	NOUN
cana-4545	210	23	,	,	PUNCT
cana-4545	210	24	𝛻2	𝛻2	NOUN
cana-4545	210	25	,	,	PUNCT
cana-4545	210	26	…	…	PUNCT
cana-4545	210	27	..	..	PUNCT
cana-4545	210	28	𝛻n	𝛻n	NOUN
cana-4545	210	29	}	}	PUNCT
cana-4545	210	30	.	.	PUNCT
cana-4545	211	1	to	to	PART
cana-4545	211	2	denote	denote	VERB
cana-4545	211	3	membership	membership	NOUN
cana-4545	211	4	(	(	PUNCT
cana-4545	211	5	𝒯	𝒯	PROPN
cana-4545	211	6	)	)	PUNCT
cana-4545	211	7	,	,	PUNCT
cana-4545	211	8	indeterminacy	indeterminacy	NOUN
cana-4545	211	9	(	(	PUNCT
cana-4545	211	10	ℐ	ℐ	NOUN
cana-4545	211	11	)	)	PUNCT
cana-4545	211	12	and	and	CCONJ
cana-4545	211	13	non	non	ADJ
cana-4545	211	14	-	-	NOUN
cana-4545	211	15	membership	membership	ADJ
cana-4545	211	16	(	(	PUNCT
cana-4545	211	17	ℱ	ℱ	PROPN
cana-4545	211	18	)	)	PUNCT
cana-4545	211	19	,	,	PUNCT
cana-4545	211	20	propositions	proposition	NOUN
cana-4545	211	21	are	be	AUX
cana-4545	211	22	converted	convert	VERB
cana-4545	211	23	into	into	ADP
cana-4545	211	24	neutrosophic	neutrosophic	ADJ
cana-4545	211	25	values	value	NOUN
cana-4545	211	26	.	.	PUNCT
cana-4545	212	1	step	step	NOUN
cana-4545	212	2	5	5	NUM
cana-4545	212	3	:	:	PUNCT
cana-4545	212	4	utilising	utilise	VERB
cana-4545	212	5	the	the	DET
cana-4545	212	6	proposed	propose	VERB
cana-4545	212	7	entropy	entropy	NOUN
cana-4545	212	8	method	method	NOUN
cana-4545	212	9	,	,	PUNCT
cana-4545	212	10	determine	determine	VERB
cana-4545	212	11	the	the	DET
cana-4545	212	12	entropy	entropy	NOUN
cana-4545	212	13	value	value	NOUN
cana-4545	212	14	,	,	PUNCT
cana-4545	212	15	weight	weight	NOUN
cana-4545	212	16	of	of	ADP
cana-4545	212	17	the	the	DET
cana-4545	212	18	criteria	criterion	NOUN
cana-4545	212	19	and	and	CCONJ
cana-4545	212	20	degree	degree	NOUN
cana-4545	212	21	of	of	ADP
cana-4545	212	22	divergence	divergence	NOUN
cana-4545	212	23	of	of	ADP
cana-4545	212	24	each	each	DET
cana-4545	212	25	criterion	criterion	NOUN
cana-4545	212	26	.	.	PUNCT
cana-4545	213	1	apply	apply	VERB
cana-4545	213	2	the	the	DET
cana-4545	213	3	entropy	entropy	NOUN
cana-4545	213	4	formula	formula	NOUN
cana-4545	213	5	to	to	PART
cana-4545	213	6	compute	compute	VERB
cana-4545	213	7	the	the	DET
cana-4545	213	8	weight	weight	NOUN
cana-4545	213	9	wi	wi	PROPN
cana-4545	213	10	for	for	ADP
cana-4545	213	11	each	each	DET
cana-4545	213	12	criterion	criterion	NOUN
cana-4545	213	13	ci	ci	NOUN
cana-4545	213	14	𝐸(𝛾i	𝐸(𝛾i	X
cana-4545	213	15	)	)	PUNCT
cana-4545	213	16	=	=	SYM
cana-4545	213	17	1	1	NUM
cana-4545	213	18	−	−	NUM
cana-4545	213	19	1	1	NUM
cana-4545	213	20	2𝑚	2𝑚	NOUN
cana-4545	213	21	∑	∑	PUNCT
cana-4545	213	22	(	(	PUNCT
cana-4545	213	23	(	(	PUNCT
cana-4545	213	24	𝒯2	𝒯2	PROPN
cana-4545	213	25	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	213	26	)	)	PUNCT
cana-4545	214	1	+	+	CCONJ
cana-4545	214	2	ℐ2	ℐ2	NOUN
cana-4545	214	3	𝛾(x𝑖))𝑚	𝛾(x𝑖))𝑚	VERB
cana-4545	214	4	𝑖=1	𝑖=1	NUM
cana-4545	214	5	|(4ℱ2	|(4ℱ2	PROPN
cana-4545	214	6	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	214	7	)	)	PUNCT
cana-4545	214	8	−	−	PROPN
cana-4545	214	9	1)|	1)|	NUM
cana-4545	214	10	+	+	CCONJ
cana-4545	214	11	(	(	PUNCT
cana-4545	214	12	𝒯2	𝒯2	PROPN
cana-4545	214	13	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	214	14	)	)	PUNCT
cana-4545	214	15	+	+	CCONJ
cana-4545	214	16	ℱ2	ℱ2	PROPN
cana-4545	214	17	𝛾(x𝑖))|(4ℐ2	𝛾(x𝑖))|(4ℐ2	PROPN
cana-4545	214	18	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	214	19	)	)	PUNCT
cana-4545	214	20	−	−	PROPN
cana-4545	214	21	1)|	1)|	NUM
cana-4545	215	1	+	+	CCONJ
cana-4545	215	2	(	(	PUNCT
cana-4545	215	3	ℱ2	ℱ2	PROPN
cana-4545	215	4	𝛾(x𝑖	𝛾(x𝑖	PROPN
cana-4545	215	5	)	)	PUNCT
cana-4545	216	1	+	+	CCONJ
cana-4545	216	2	ℐ2	ℐ2	NOUN
cana-4545	216	3	𝛾(x𝑖))|(4𝒯2	𝛾(x𝑖))|(4𝒯2	ADP
cana-4545	216	4	𝛾(x𝑖	𝛾(x𝑖	NOUN
cana-4545	216	5	)	)	PUNCT
cana-4545	216	6	−	−	PROPN
cana-4545	216	7	1)|	1)|	NUM
cana-4545	216	8	)	)	PUNCT
cana-4545	216	9	such	such	ADJ
cana-4545	216	10	that	that	SCONJ
cana-4545	216	11	∑	∑	PROPN
cana-4545	216	12	wi	wi	PROPN
cana-4545	216	13	n	n	PROPN
cana-4545	216	14	i=1	i=1	PROPN
cana-4545	216	15	=	=	ADJ
cana-4545	216	16	1	1	X
cana-4545	216	17	.	.	PUNCT
cana-4545	216	18	communications	communication	NOUN
cana-4545	216	19	on	on	ADP
cana-4545	216	20	applied	apply	VERB
cana-4545	216	21	nonlinear	nonlinear	ADJ
cana-4545	216	22	analysis	analysis	NOUN
cana-4545	216	23	issn	issn	NOUN
cana-4545	216	24	:	:	PUNCT
cana-4545	216	25	1074	1074	NUM
cana-4545	216	26	-	-	PUNCT
cana-4545	216	27	133x	133x	NUM
cana-4545	216	28	vol	vol	NOUN
cana-4545	216	29	32	32	NUM
cana-4545	216	30	no	no	NOUN
cana-4545	216	31	.	.	PUNCT
cana-4545	217	1	9s	9s	NUM
cana-4545	217	2	(	(	PUNCT
cana-4545	217	3	2025	2025	NUM
cana-4545	217	4	)	)	PUNCT
cana-4545	217	5	2643	2643	NUM
cana-4545	217	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	217	7	step	step	NOUN
cana-4545	217	8	6	6	NUM
cana-4545	217	9	:	:	PUNCT
cana-4545	217	10	aggregate	aggregate	VERB
cana-4545	217	11	the	the	DET
cana-4545	217	12	pfs	pfs	PROPN
cana-4545	217	13	using	use	VERB
cana-4545	217	14	nwa	nwa	PROPN
cana-4545	217	15	use	use	VERB
cana-4545	217	16	𝑁𝑊𝐴𝑤	𝑁𝑊𝐴𝑤	NOUN
cana-4545	217	17	and	and	CCONJ
cana-4545	217	18	𝑁𝑊𝐺𝑤	𝑁𝑊𝐺𝑤	NOUN
cana-4545	217	19	aggregation	aggregation	NOUN
cana-4545	217	20	operator	operator	NOUN
cana-4545	217	21	to	to	PART
cana-4545	217	22	combine	combine	VERB
cana-4545	217	23	the	the	DET
cana-4545	217	24	evaluations	evaluation	NOUN
cana-4545	217	25	of	of	ADP
cana-4545	217	26	all	all	DET
cana-4545	217	27	criteria	criterion	NOUN
cana-4545	217	28	for	for	ADP
cana-4545	217	29	each	each	DET
cana-4545	217	30	alternative	alternative	ADJ
cana-4545	217	31	𝑁𝑊𝐴𝑤(𝛼1	𝑁𝑊𝐴𝑤(𝛼1	PROPN
cana-4545	217	32	,	,	PUNCT
cana-4545	217	33	𝛼2	𝛼2	PROPN
cana-4545	217	34	…	…	PUNCT
cana-4545	217	35	.	.	PUNCT
cana-4545	217	36	.	.	PUNCT
cana-4545	218	1	𝛼𝑛	𝛼𝑛	X
cana-4545	218	2	)	)	PUNCT
cana-4545	218	3	=	=	PUNCT
cana-4545	219	1	(	(	PUNCT
cana-4545	219	2	1	1	NUM
cana-4545	219	3	−	−	PROPN
cana-4545	219	4	∏	∏	NUM
cana-4545	219	5	(	(	PUNCT
cana-4545	219	6	1	1	NUM
cana-4545	219	7	−	−	PROPN
cana-4545	219	8	𝒯(𝑥𝑖))𝑤𝑗	𝒯(𝑥𝑖))𝑤𝑗	NOUN
cana-4545	219	9	,	,	PUNCT
cana-4545	219	10	𝑛	𝑛	PROPN
cana-4545	219	11	𝑖,𝑗=1	𝑖,𝑗=1	ADJ
cana-4545	219	12	∏	∏	PROPN
cana-4545	219	13	(	(	PUNCT
cana-4545	219	14	ℐ(𝑥𝑖))𝑤𝑗	ℐ(𝑥𝑖))𝑤𝑗	NUM
cana-4545	219	15	,	,	PUNCT
cana-4545	219	16	𝑛	𝑛	PROPN
cana-4545	219	17	𝑖,𝑗=1	𝑖,𝑗=1	ADJ
cana-4545	219	18	∏	∏	NOUN
cana-4545	219	19	(	(	PUNCT
cana-4545	219	20	ℱ(𝑥𝑖))𝑤𝑗𝑛	ℱ(𝑥𝑖))𝑤𝑗𝑛	NOUN
cana-4545	219	21	𝑖,𝑗=1	𝑖,𝑗=1	NUM
cana-4545	219	22	)	)	PUNCT
cana-4545	220	1	_	_	PUNCT
cana-4545	221	1	_	_	PUNCT
cana-4545	222	1	_	_	PUNCT
cana-4545	223	1	_	_	PUNCT
cana-4545	224	1	_	_	PUNCT
cana-4545	225	1	_	_	PUNCT
cana-4545	226	1	_	_	PUNCT
cana-4545	227	1	_	_	PUNCT
cana-4545	227	2	(	(	PUNCT
cana-4545	227	3	1	1	NUM
cana-4545	227	4	)	)	PUNCT
cana-4545	227	5	and	and	CCONJ
cana-4545	227	6	𝑁𝑊𝐺𝑤(𝛼1	𝑁𝑊𝐺𝑤(𝛼1	PROPN
cana-4545	227	7	,	,	PUNCT
cana-4545	227	8	𝛼2	𝛼2	PROPN
cana-4545	227	9	…	…	PUNCT
cana-4545	227	10	.	.	PUNCT
cana-4545	227	11	.	.	PUNCT
cana-4545	228	1	𝛼𝑛	𝛼𝑛	X
cana-4545	228	2	)	)	PUNCT
cana-4545	228	3	=	=	SYM
cana-4545	228	4	(	(	PUNCT
cana-4545	228	5	∏	∏	PROPN
cana-4545	228	6	(	(	PUNCT
cana-4545	228	7	𝒯(𝑥𝑖))𝑤𝑗	𝒯(𝑥𝑖))𝑤𝑗	X
cana-4545	228	8	,	,	PUNCT
cana-4545	228	9	𝑛	𝑛	PROPN
cana-4545	228	10	𝑖,𝑗=1	𝑖,𝑗=1	PRON
cana-4545	228	11	1	1	NUM
cana-4545	228	12	−	−	PROPN
cana-4545	228	13	∏	∏	PROPN
cana-4545	228	14	(	(	PUNCT
cana-4545	228	15	1	1	NUM
cana-4545	228	16	−	−	NUM
cana-4545	228	17	ℐ(𝑥𝑖))𝑤𝑗	ℐ(𝑥𝑖))𝑤𝑗	NUM
cana-4545	228	18	,	,	PUNCT
cana-4545	228	19	1	1	NUM
cana-4545	228	20	−	−	PROPN
cana-4545	228	21	∏	∏	NUM
cana-4545	228	22	(	(	PUNCT
cana-4545	228	23	1	1	NUM
cana-4545	228	24	−	−	NOUN
cana-4545	228	25	ℱ(𝑥𝑖))𝑤𝑗𝑛	ℱ(𝑥𝑖))𝑤𝑗𝑛	NOUN
cana-4545	228	26	𝑖,𝑗=1	𝑖,𝑗=1	VERB
cana-4545	228	27	𝑛	𝑛	ADP
cana-4545	228	28	𝑖,𝑗=1	𝑖,𝑗=1	PRON
cana-4545	228	29	)	)	PUNCT
cana-4545	229	1	_	_	PUNCT
cana-4545	230	1	_	_	PUNCT
cana-4545	231	1	_	_	PUNCT
cana-4545	232	1	_	_	PUNCT
cana-4545	233	1	_	_	PUNCT
cana-4545	234	1	_	_	PUNCT
cana-4545	235	1	_	_	PUNCT
cana-4545	236	1	_	_	PUNCT
cana-4545	236	2	(	(	PUNCT
cana-4545	236	3	2	2	X
cana-4545	236	4	)	)	PUNCT
cana-4545	236	5	step	step	NOUN
cana-4545	236	6	7	7	NUM
cana-4545	236	7	:	:	PUNCT
cana-4545	236	8	evaluate	evaluate	VERB
cana-4545	236	9	alternatives	alternative	NOUN
cana-4545	236	10	using	use	VERB
cana-4545	236	11	a	a	DET
cana-4545	236	12	score	score	NOUN
cana-4545	236	13	function	function	NOUN
cana-4545	236	14	𝑆	𝑆	PROPN
cana-4545	236	15	=	=	PUNCT
cana-4545	236	16	2+𝒯𝑎−ℐ𝑎−ℱ𝑎	2+𝒯𝑎−ℐ𝑎−ℱ𝑎	ADJ
cana-4545	237	1	3	3	NUM
cana-4545	237	2	_	_	PUNCT
cana-4545	238	1	_	_	PUNCT
cana-4545	239	1	_	_	PUNCT
cana-4545	240	1	_	_	PUNCT
cana-4545	241	1	_	_	PUNCT
cana-4545	242	1	_	_	PUNCT
cana-4545	243	1	_	_	PUNCT
cana-4545	244	1	_	_	PUNCT
cana-4545	245	1	_	_	PUNCT
cana-4545	246	1	_	_	PUNCT
cana-4545	247	1	_	_	PUNCT
cana-4545	247	2	(	(	PUNCT
cana-4545	247	3	3	3	X
cana-4545	247	4	)	)	PUNCT
cana-4545	247	5	step	step	NOUN
cana-4545	247	6	8	8	NUM
cana-4545	247	7	:	:	PUNCT
cana-4545	247	8	rank	rank	VERB
cana-4545	247	9	the	the	DET
cana-4545	247	10	alternatives	alternative	NOUN
cana-4545	247	11	𝐴	𝐴	NOUN
cana-4545	247	12	=	=	PUNCT
cana-4545	247	13	{	{	PUNCT
cana-4545	247	14	𝐴1	𝐴1	PROPN
cana-4545	247	15	,	,	PUNCT
cana-4545	247	16	𝐴2	𝐴2	PROPN
cana-4545	247	17	,	,	PUNCT
cana-4545	247	18	.	.	PUNCT
cana-4545	247	19	.	.	PUNCT
cana-4545	247	20	.	.	PUNCT
cana-4545	247	21	.	.	PUNCT
cana-4545	248	1	𝐴𝑛	𝐴𝑛	NOUN
cana-4545	248	2	}	}	PUNCT
cana-4545	248	3	based	base	VERB
cana-4545	248	4	on	on	ADP
cana-4545	248	5	their	their	PRON
cana-4545	248	6	scores	score	NOUN
cana-4545	248	7	.	.	PUNCT
cana-4545	249	1	step	step	NOUN
cana-4545	249	2	9	9	NUM
cana-4545	249	3	:	:	PUNCT
cana-4545	249	4	select	select	VERB
cana-4545	249	5	the	the	DET
cana-4545	249	6	best	good	ADJ
cana-4545	249	7	alternative(s	alternative(s	NOUN
cana-4545	249	8	)	)	PUNCT
cana-4545	249	9	step	step	NOUN
cana-4545	249	10	10	10	NUM
cana-4545	249	11	:	:	PUNCT
cana-4545	249	12	end	end	VERB
cana-4545	249	13	the	the	DET
cana-4545	249	14	process	process	NOUN
cana-4545	249	15	3.2	3.2	NUM
cana-4545	249	16	flow	flow	NOUN
cana-4545	249	17	chart	chart	NOUN
cana-4545	249	18	for	for	ADP
cana-4545	249	19	multi	multi	ADJ
cana-4545	249	20	attributes	attribute	NOUN
cana-4545	249	21	decision	decision	NOUN
cana-4545	249	22	making	making	NOUN
cana-4545	249	23	using	use	VERB
cana-4545	249	24	neutrosophic	neutrosophic	ADJ
cana-4545	249	25	set	set	VERB
cana-4545	249	26	figure	figure	NOUN
cana-4545	249	27	1	1	NUM
cana-4545	249	28	:	:	PUNCT
cana-4545	249	29	flow	flow	VERB
cana-4545	249	30	chart	chart	NOUN
cana-4545	249	31	for	for	ADP
cana-4545	249	32	multi	multi	ADJ
cana-4545	249	33	attributes	attribute	NOUN
cana-4545	249	34	decision	decision	NOUN
cana-4545	249	35	making	making	NOUN
cana-4545	249	36	using	use	VERB
cana-4545	249	37	neutrosophic	neutrosophic	ADJ
cana-4545	249	38	set	set	NOUN
cana-4545	249	39	.	.	PUNCT
cana-4545	250	1	evaluation	evaluation	NOUN
cana-4545	250	2	criteria	criterion	NOUN
cana-4545	250	3	:	:	PUNCT
cana-4545	250	4	when	when	SCONJ
cana-4545	250	5	selecting	select	VERB
cana-4545	250	6	the	the	DET
cana-4545	250	7	best	good	ADJ
cana-4545	250	8	hospital	hospital	NOUN
cana-4545	250	9	,	,	PUNCT
cana-4545	250	10	multiple	multiple	ADJ
cana-4545	250	11	factors	factor	NOUN
cana-4545	250	12	must	must	AUX
cana-4545	250	13	be	be	AUX
cana-4545	250	14	considered	consider	VERB
cana-4545	250	15	to	to	PART
cana-4545	250	16	ensure	ensure	VERB
cana-4545	250	17	a	a	DET
cana-4545	250	18	comprehensive	comprehensive	ADJ
cana-4545	250	19	evaluation	evaluation	NOUN
cana-4545	250	20	that	that	PRON
cana-4545	250	21	meets	meet	VERB
cana-4545	250	22	the	the	DET
cana-4545	250	23	needs	need	NOUN
cana-4545	250	24	of	of	ADP
cana-4545	250	25	patients	patient	NOUN
cana-4545	250	26	and	and	CCONJ
cana-4545	250	27	healthcare	healthcare	NOUN
cana-4545	250	28	stakeholders	stakeholder	NOUN
cana-4545	250	29	.	.	PUNCT
cana-4545	251	1	in	in	ADP
cana-4545	251	2	the	the	DET
cana-4545	251	3	context	context	NOUN
cana-4545	251	4	of	of	ADP
cana-4545	251	5	multiattribute	multiattribute	NOUN
cana-4545	251	6	decision	decision	NOUN
cana-4545	251	7	-	-	PUNCT
cana-4545	251	8	making	making	NOUN
cana-4545	251	9	(	(	PUNCT
cana-4545	251	10	madm	madm	NOUN
cana-4545	251	11	)	)	PUNCT
cana-4545	251	12	,	,	PUNCT
cana-4545	251	13	these	these	DET
cana-4545	251	14	factors	factor	NOUN
cana-4545	251	15	(	(	PUNCT
cana-4545	251	16	also	also	ADV
cana-4545	251	17	called	call	VERB
cana-4545	251	18	criteria	criterion	NOUN
cana-4545	251	19	)	)	PUNCT
cana-4545	251	20	serve	serve	VERB
cana-4545	251	21	as	as	ADP
cana-4545	251	22	the	the	DET
cana-4545	251	23	key	key	ADJ
cana-4545	251	24	decisionmaking	decisionmake	VERB
cana-4545	251	25	parameters	parameter	NOUN
cana-4545	251	26	used	use	VERB
cana-4545	251	27	to	to	PART
cana-4545	251	28	evaluate	evaluate	VERB
cana-4545	251	29	and	and	CCONJ
cana-4545	251	30	rank	rank	NOUN
cana-4545	251	31	hospitals	hospital	NOUN
cana-4545	251	32	.	.	PUNCT
cana-4545	252	1	madm	madm	PROPN
cana-4545	252	2	methods	method	NOUN
cana-4545	252	3	enable	enable	VERB
cana-4545	252	4	the	the	DET
cana-4545	252	5	comparison	comparison	NOUN
cana-4545	252	6	of	of	ADP
cana-4545	252	7	alternative	alternative	ADJ
cana-4545	252	8	hospitals	hospital	NOUN
cana-4545	252	9	based	base	VERB
cana-4545	252	10	on	on	ADP
cana-4545	252	11	several	several	ADJ
cana-4545	252	12	criteria	criterion	NOUN
cana-4545	252	13	,	,	PUNCT
cana-4545	252	14	leading	lead	VERB
cana-4545	252	15	to	to	ADP
cana-4545	252	16	an	an	DET
cana-4545	252	17	informed	informed	ADJ
cana-4545	252	18	,	,	PUNCT
cana-4545	252	19	systematic	systematic	ADJ
cana-4545	252	20	,	,	PUNCT
cana-4545	252	21	and	and	CCONJ
cana-4545	252	22	data	data	NOUN
cana-4545	252	23	-	-	PUNCT
cana-4545	252	24	driven	drive	VERB
cana-4545	252	25	decision	decision	NOUN
cana-4545	252	26	.	.	PUNCT
cana-4545	253	1	the	the	DET
cana-4545	253	2	criteria	criterion	NOUN
cana-4545	253	3	involved	involve	VERB
cana-4545	253	4	in	in	ADP
cana-4545	253	5	selecting	select	VERB
cana-4545	253	6	the	the	DET
cana-4545	253	7	best	good	ADJ
cana-4545	253	8	hospital	hospital	NOUN
cana-4545	253	9	can	can	AUX
cana-4545	253	10	vary	vary	VERB
cana-4545	253	11	depending	depend	VERB
cana-4545	253	12	on	on	ADP
cana-4545	253	13	the	the	DET
cana-4545	253	14	specific	specific	ADJ
cana-4545	253	15	healthcare	healthcare	NOUN
cana-4545	253	16	needs	need	NOUN
cana-4545	253	17	,	,	PUNCT
cana-4545	253	18	but	but	CCONJ
cana-4545	253	19	some	some	DET
cana-4545	253	20	core	core	NOUN
cana-4545	253	21	and	and	CCONJ
cana-4545	253	22	commonly	commonly	ADV
cana-4545	253	23	used	use	VERB
cana-4545	253	24	criteria	criterion	NOUN
cana-4545	253	25	include	include	VERB
cana-4545	253	26	:	:	PUNCT
cana-4545	253	27	communications	communication	NOUN
cana-4545	253	28	on	on	ADP
cana-4545	253	29	applied	apply	VERB
cana-4545	253	30	nonlinear	nonlinear	ADJ
cana-4545	253	31	analysis	analysis	NOUN
cana-4545	253	32	issn	issn	NOUN
cana-4545	253	33	:	:	PUNCT
cana-4545	253	34	1074	1074	NUM
cana-4545	253	35	-	-	PUNCT
cana-4545	253	36	133x	133x	NUM
cana-4545	253	37	vol	vol	NOUN
cana-4545	253	38	32	32	NUM
cana-4545	253	39	no	no	NOUN
cana-4545	253	40	.	.	PUNCT
cana-4545	254	1	9s	9s	NUM
cana-4545	254	2	(	(	PUNCT
cana-4545	254	3	2025	2025	NUM
cana-4545	254	4	)	)	PUNCT
cana-4545	254	5	2644	2644	NUM
cana-4545	254	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	254	7	1	1	X
cana-4545	254	8	.	.	PUNCT
cana-4545	255	1	quality	quality	NOUN
cana-4545	255	2	of	of	ADP
cana-4545	255	3	care	care	NOUN
cana-4545	255	4	(	(	PUNCT
cana-4545	255	5	ξ1	ξ1	NOUN
cana-4545	255	6	)	)	PUNCT
cana-4545	255	7	one	one	NUM
cana-4545	255	8	of	of	ADP
cana-4545	255	9	the	the	DET
cana-4545	255	10	most	most	ADV
cana-4545	255	11	important	important	ADJ
cana-4545	255	12	criteria	criterion	NOUN
cana-4545	255	13	in	in	ADP
cana-4545	255	14	selecting	select	VERB
cana-4545	255	15	the	the	DET
cana-4545	255	16	best	good	ADJ
cana-4545	255	17	hospital	hospital	NOUN
cana-4545	255	18	is	be	AUX
cana-4545	255	19	the	the	DET
cana-4545	255	20	quality	quality	NOUN
cana-4545	255	21	of	of	ADP
cana-4545	255	22	care	care	NOUN
cana-4545	255	23	provided	provide	VERB
cana-4545	255	24	.	.	PUNCT
cana-4545	256	1	this	this	PRON
cana-4545	256	2	encompasses	encompass	VERB
cana-4545	256	3	a	a	DET
cana-4545	256	4	variety	variety	NOUN
cana-4545	256	5	of	of	ADP
cana-4545	256	6	factors	factor	NOUN
cana-4545	256	7	such	such	ADJ
cana-4545	256	8	as	as	ADP
cana-4545	256	9	the	the	DET
cana-4545	256	10	effectiveness	effectiveness	NOUN
cana-4545	256	11	of	of	ADP
cana-4545	256	12	medical	medical	ADJ
cana-4545	256	13	treatments	treatment	NOUN
cana-4545	256	14	,	,	PUNCT
cana-4545	256	15	the	the	DET
cana-4545	256	16	experience	experience	NOUN
cana-4545	256	17	of	of	ADP
cana-4545	256	18	healthcare	healthcare	NOUN
cana-4545	256	19	professionals	professional	NOUN
cana-4545	256	20	,	,	PUNCT
cana-4545	256	21	patient	patient	ADJ
cana-4545	256	22	safety	safety	NOUN
cana-4545	256	23	,	,	PUNCT
cana-4545	256	24	and	and	CCONJ
cana-4545	256	25	overall	overall	ADJ
cana-4545	256	26	patient	patient	ADJ
cana-4545	256	27	satisfaction	satisfaction	NOUN
cana-4545	256	28	.	.	PUNCT
cana-4545	257	1	2	2	X
cana-4545	257	2	.	.	X
cana-4545	257	3	cost	cost	NOUN
cana-4545	257	4	and	and	CCONJ
cana-4545	257	5	affordability	affordability	NOUN
cana-4545	257	6	(	(	PUNCT
cana-4545	257	7	ξ2	ξ2	PROPN
cana-4545	257	8	)	)	PUNCT
cana-4545	257	9	the	the	DET
cana-4545	257	10	cost	cost	NOUN
cana-4545	257	11	of	of	ADP
cana-4545	257	12	healthcare	healthcare	NOUN
cana-4545	257	13	services	service	NOUN
cana-4545	257	14	is	be	AUX
cana-4545	257	15	another	another	DET
cana-4545	257	16	critical	critical	ADJ
cana-4545	257	17	criterion	criterion	NOUN
cana-4545	257	18	for	for	ADP
cana-4545	257	19	hospital	hospital	NOUN
cana-4545	257	20	selection	selection	NOUN
cana-4545	257	21	.	.	PUNCT
cana-4545	258	1	hospitals	hospital	NOUN
cana-4545	258	2	often	often	ADV
cana-4545	258	3	provide	provide	VERB
cana-4545	258	4	a	a	DET
cana-4545	258	5	wide	wide	ADJ
cana-4545	258	6	range	range	NOUN
cana-4545	258	7	of	of	ADP
cana-4545	258	8	services	service	NOUN
cana-4545	258	9	,	,	PUNCT
cana-4545	258	10	and	and	CCONJ
cana-4545	258	11	their	their	PRON
cana-4545	258	12	pricing	pricing	NOUN
cana-4545	258	13	can	can	AUX
cana-4545	258	14	vary	vary	VERB
cana-4545	258	15	depending	depend	VERB
cana-4545	258	16	on	on	ADP
cana-4545	258	17	factors	factor	NOUN
cana-4545	258	18	such	such	ADJ
cana-4545	258	19	as	as	ADP
cana-4545	258	20	location	location	NOUN
cana-4545	258	21	,	,	PUNCT
cana-4545	258	22	facilities	facility	NOUN
cana-4545	258	23	,	,	PUNCT
cana-4545	258	24	and	and	CCONJ
cana-4545	258	25	specialization	specialization	NOUN
cana-4545	258	26	.	.	PUNCT
cana-4545	259	1	cost	cost	NOUN
cana-4545	259	2	must	must	AUX
cana-4545	259	3	be	be	AUX
cana-4545	259	4	balanced	balance	VERB
cana-4545	259	5	with	with	ADP
cana-4545	259	6	the	the	DET
cana-4545	259	7	quality	quality	NOUN
cana-4545	259	8	of	of	ADP
cana-4545	259	9	services	service	NOUN
cana-4545	259	10	provided	provide	VERB
cana-4545	259	11	.	.	PUNCT
cana-4545	260	1	3	3	X
cana-4545	260	2	.	.	X
cana-4545	260	3	hospital	hospital	NOUN
cana-4545	260	4	infrastructure	infrastructure	NOUN
cana-4545	260	5	and	and	CCONJ
cana-4545	260	6	facilities	facility	NOUN
cana-4545	260	7	(	(	PUNCT
cana-4545	260	8	ξ3	ξ3	NOUN
cana-4545	260	9	)	)	PUNCT
cana-4545	260	10	a	a	DET
cana-4545	260	11	hospital	hospital	NOUN
cana-4545	260	12	's	's	PART
cana-4545	260	13	infrastructure	infrastructure	NOUN
cana-4545	260	14	and	and	CCONJ
cana-4545	260	15	facilities	facility	NOUN
cana-4545	260	16	play	play	VERB
cana-4545	260	17	a	a	DET
cana-4545	260	18	crucial	crucial	ADJ
cana-4545	260	19	role	role	NOUN
cana-4545	260	20	in	in	ADP
cana-4545	260	21	determining	determine	VERB
cana-4545	260	22	its	its	PRON
cana-4545	260	23	overall	overall	ADJ
cana-4545	260	24	performance	performance	NOUN
cana-4545	260	25	.	.	PUNCT
cana-4545	261	1	high	high	ADJ
cana-4545	261	2	-	-	PUNCT
cana-4545	261	3	quality	quality	NOUN
cana-4545	261	4	hospitals	hospital	NOUN
cana-4545	261	5	tend	tend	VERB
cana-4545	261	6	to	to	PART
cana-4545	261	7	have	have	VERB
cana-4545	261	8	state	state	NOUN
cana-4545	261	9	-	-	PUNCT
cana-4545	261	10	of	of	ADP
cana-4545	261	11	-	-	PUNCT
cana-4545	261	12	the	the	DET
cana-4545	261	13	-	-	PUNCT
cana-4545	261	14	art	art	NOUN
cana-4545	261	15	medical	medical	ADJ
cana-4545	261	16	equipment	equipment	NOUN
cana-4545	261	17	,	,	PUNCT
cana-4545	261	18	clean	clean	ADJ
cana-4545	261	19	and	and	CCONJ
cana-4545	261	20	comfortable	comfortable	ADJ
cana-4545	261	21	facilities	facility	NOUN
cana-4545	261	22	,	,	PUNCT
cana-4545	261	23	and	and	CCONJ
cana-4545	261	24	modern	modern	ADJ
cana-4545	261	25	technology	technology	NOUN
cana-4545	261	26	that	that	PRON
cana-4545	261	27	can	can	AUX
cana-4545	261	28	improve	improve	VERB
cana-4545	261	29	patient	patient	ADJ
cana-4545	261	30	care	care	NOUN
cana-4545	261	31	.	.	PUNCT
cana-4545	262	1	4	4	X
cana-4545	262	2	.	.	X
cana-4545	262	3	staff	staff	NOUN
cana-4545	262	4	competency	competency	NOUN
cana-4545	262	5	and	and	CCONJ
cana-4545	262	6	training	training	NOUN
cana-4545	262	7	(	(	PUNCT
cana-4545	262	8	ξ4	ξ4	PROPN
cana-4545	262	9	)	)	PUNCT
cana-4545	262	10	the	the	DET
cana-4545	262	11	competency	competency	NOUN
cana-4545	262	12	and	and	CCONJ
cana-4545	262	13	training	training	NOUN
cana-4545	262	14	of	of	ADP
cana-4545	262	15	the	the	DET
cana-4545	262	16	hospital	hospital	NOUN
cana-4545	262	17	’s	’s	PART
cana-4545	262	18	healthcare	healthcare	NOUN
cana-4545	262	19	providers	provider	NOUN
cana-4545	262	20	are	be	AUX
cana-4545	262	21	essential	essential	ADJ
cana-4545	262	22	to	to	PART
cana-4545	262	23	ensuring	ensure	VERB
cana-4545	262	24	that	that	SCONJ
cana-4545	262	25	patients	patient	NOUN
cana-4545	262	26	receive	receive	VERB
cana-4545	262	27	the	the	DET
cana-4545	262	28	best	good	ADJ
cana-4545	262	29	possible	possible	ADJ
cana-4545	262	30	care	care	NOUN
cana-4545	262	31	.	.	PUNCT
cana-4545	263	1	hospitals	hospital	NOUN
cana-4545	263	2	that	that	PRON
cana-4545	263	3	invest	invest	VERB
cana-4545	263	4	in	in	ADP
cana-4545	263	5	ongoing	ongoing	ADJ
cana-4545	263	6	training	training	NOUN
cana-4545	263	7	and	and	CCONJ
cana-4545	263	8	professional	professional	ADJ
cana-4545	263	9	development	development	NOUN
cana-4545	263	10	for	for	ADP
cana-4545	263	11	their	their	PRON
cana-4545	263	12	medical	medical	ADJ
cana-4545	263	13	staff	staff	NOUN
cana-4545	263	14	are	be	AUX
cana-4545	263	15	likely	likely	ADJ
cana-4545	263	16	to	to	PART
cana-4545	263	17	maintain	maintain	VERB
cana-4545	263	18	high	high	ADJ
cana-4545	263	19	standards	standard	NOUN
cana-4545	263	20	of	of	ADP
cana-4545	263	21	care	care	NOUN
cana-4545	263	22	.	.	PUNCT
cana-4545	264	1	5	5	X
cana-4545	264	2	.	.	X
cana-4545	264	3	patient	patient	ADJ
cana-4545	264	4	services	service	NOUN
cana-4545	264	5	and	and	CCONJ
cana-4545	264	6	satisfaction	satisfaction	NOUN
cana-4545	264	7	(	(	PUNCT
cana-4545	264	8	ξ5	ξ5	NOUN
cana-4545	264	9	)	)	PUNCT
cana-4545	264	10	the	the	DET
cana-4545	264	11	overall	overall	ADJ
cana-4545	264	12	patient	patient	ADJ
cana-4545	264	13	experience	experience	NOUN
cana-4545	264	14	is	be	AUX
cana-4545	264	15	another	another	DET
cana-4545	264	16	vital	vital	ADJ
cana-4545	264	17	criterion	criterion	NOUN
cana-4545	264	18	.	.	PUNCT
cana-4545	265	1	this	this	PRON
cana-4545	265	2	encompasses	encompass	VERB
cana-4545	265	3	the	the	DET
cana-4545	265	4	interactions	interaction	NOUN
cana-4545	265	5	between	between	ADP
cana-4545	265	6	patients	patient	NOUN
cana-4545	265	7	and	and	CCONJ
cana-4545	265	8	hospital	hospital	NOUN
cana-4545	265	9	staff	staff	NOUN
cana-4545	265	10	,	,	PUNCT
cana-4545	265	11	waiting	wait	VERB
cana-4545	265	12	times	time	NOUN
cana-4545	265	13	,	,	PUNCT
cana-4545	265	14	the	the	DET
cana-4545	265	15	quality	quality	NOUN
cana-4545	265	16	of	of	ADP
cana-4545	265	17	communication	communication	NOUN
cana-4545	265	18	,	,	PUNCT
cana-4545	265	19	and	and	CCONJ
cana-4545	265	20	the	the	DET
cana-4545	265	21	comfort	comfort	NOUN
cana-4545	265	22	of	of	ADP
cana-4545	265	23	hospital	hospital	NOUN
cana-4545	265	24	facilities	facility	NOUN
cana-4545	265	25	.	.	PUNCT
cana-4545	266	1	evaluation	evaluation	NOUN
cana-4545	266	2	process	process	NOUN
cana-4545	266	3	:	:	PUNCT
cana-4545	266	4	table	table	NOUN
cana-4545	266	5	1	1	NUM
cana-4545	266	6	:	:	PUNCT
cana-4545	266	7	the	the	DET
cana-4545	266	8	way	way	NOUN
cana-4545	266	9	that	that	PRON
cana-4545	266	10	the	the	DET
cana-4545	266	11	dms	dm	NOUN
cana-4545	266	12	evaluated	evaluate	VERB
cana-4545	266	13	the	the	DET
cana-4545	266	14	alternatives	alternative	NOUN
cana-4545	266	15	through	through	ADP
cana-4545	266	16	experts	expert	NOUN
cana-4545	266	17	'	'	PART
cana-4545	266	18	opinions	opinion	NOUN
cana-4545	266	19	,	,	PUNCT
cana-4545	266	20	in	in	ADP
cana-4545	266	21	which	which	PRON
cana-4545	266	22	linguistic	linguistic	ADJ
cana-4545	266	23	variables	variable	NOUN
cana-4545	266	24	are	be	AUX
cana-4545	266	25	justifiable	justifiable	ADJ
cana-4545	266	26	for	for	ADP
cana-4545	266	27	assessment	assessment	NOUN
cana-4545	266	28	of	of	ADP
cana-4545	266	29	the	the	DET
cana-4545	266	30	alternatives	alternative	NOUN
cana-4545	266	31	under	under	ADP
cana-4545	266	32	prefixed	prefix	VERB
cana-4545	266	33	standards	standard	NOUN
cana-4545	266	34	.	.	PUNCT
cana-4545	267	1	it	it	PRON
cana-4545	267	2	also	also	ADV
cana-4545	267	3	shows	show	VERB
cana-4545	267	4	a	a	DET
cana-4545	267	5	way	way	NOUN
cana-4545	267	6	of	of	ADP
cana-4545	267	7	converting	convert	VERB
cana-4545	267	8	linguistic	linguistic	ADJ
cana-4545	267	9	inputs	input	NOUN
cana-4545	267	10	from	from	ADP
cana-4545	267	11	experts	expert	NOUN
cana-4545	267	12	to	to	ADP
cana-4545	267	13	nss	nss	NOUN
cana-4545	267	14	table	table	NOUN
cana-4545	267	15	1	1	NUM
cana-4545	267	16	:	:	PUNCT
cana-4545	267	17	linguistic	linguistic	ADJ
cana-4545	267	18	terms	term	NOUN
cana-4545	267	19	and	and	CCONJ
cana-4545	267	20	corresponding	corresponding	ADJ
cana-4545	267	21	ns	ns	ADJ
cana-4545	267	22	values	value	NOUN
cana-4545	267	23	linguistic	linguistic	ADJ
cana-4545	267	24	term	term	NOUN
cana-4545	267	25	notation	notation	NOUN
cana-4545	267	26	(	(	PUNCT
cana-4545	267	27	𝓣	𝓣	PROPN
cana-4545	267	28	,	,	PUNCT
cana-4545	267	29	𝓘	𝓘	PROPN
cana-4545	267	30	,	,	PUNCT
cana-4545	267	31	𝓕)×10	𝓕)×10	NOUN
cana-4545	267	32	-	-	SYM
cana-4545	267	33	2	2	NUM
cana-4545	267	34	extremely	extremely	ADV
cana-4545	267	35	weak	weak	ADJ
cana-4545	267	36	ξ1	ξ1	NOUN
cana-4545	267	37	(	(	PUNCT
cana-4545	267	38	0	0	NUM
cana-4545	267	39	,	,	PUNCT
cana-4545	267	40	100	100	NUM
cana-4545	267	41	,	,	PUNCT
cana-4545	267	42	100	100	NUM
cana-4545	267	43	)	)	PUNCT
cana-4545	267	44	very	very	ADV
cana-4545	267	45	weak	weak	ADJ
cana-4545	267	46	ξ2	ξ2	NOUN
cana-4545	267	47	(	(	PUNCT
cana-4545	267	48	20	20	NUM
cana-4545	267	49	,	,	PUNCT
cana-4545	267	50	90	90	NUM
cana-4545	267	51	,	,	PUNCT
cana-4545	267	52	80	80	NUM
cana-4545	267	53	)	)	PUNCT
cana-4545	267	54	weak	weak	ADJ
cana-4545	267	55	ξ3	ξ3	NOUN
cana-4545	267	56	(	(	PUNCT
cana-4545	267	57	30	30	NUM
cana-4545	267	58	,	,	PUNCT
cana-4545	267	59	80	80	NUM
cana-4545	267	60	,	,	PUNCT
cana-4545	267	61	70	70	NUM
cana-4545	267	62	)	)	PUNCT
cana-4545	267	63	slightly	slightly	ADV
cana-4545	267	64	weak	weak	ADJ
cana-4545	267	65	ξ4	ξ4	NOUN
cana-4545	267	66	(	(	PUNCT
cana-4545	267	67	40	40	NUM
cana-4545	267	68	,	,	PUNCT
cana-4545	267	69	70	70	NUM
cana-4545	267	70	,	,	PUNCT
cana-4545	267	71	70	70	NUM
cana-4545	267	72	)	)	PUNCT
cana-4545	267	73	below	below	ADP
cana-4545	267	74	average	average	ADJ
cana-4545	267	75	ξ5	ξ5	NOUN
cana-4545	267	76	(	(	PUNCT
cana-4545	267	77	50	50	NUM
cana-4545	267	78	,	,	PUNCT
cana-4545	267	79	60	60	NUM
cana-4545	267	80	,	,	PUNCT
cana-4545	267	81	60	60	NUM
cana-4545	267	82	)	)	PUNCT
cana-4545	267	83	average	average	ADJ
cana-4545	267	84	ξ6	ξ6	NOUN
cana-4545	267	85	(	(	PUNCT
cana-4545	267	86	60	60	NUM
cana-4545	267	87	,	,	PUNCT
cana-4545	267	88	60	60	NUM
cana-4545	267	89	,	,	PUNCT
cana-4545	267	90	50	50	NUM
cana-4545	267	91	)	)	PUNCT
cana-4545	267	92	above	above	ADP
cana-4545	267	93	average	average	ADJ
cana-4545	267	94	ξ7	ξ7	NOUN
cana-4545	267	95	(	(	PUNCT
cana-4545	267	96	70	70	NUM
cana-4545	267	97	,	,	PUNCT
cana-4545	267	98	40	40	NUM
cana-4545	267	99	,	,	PUNCT
cana-4545	267	100	40	40	NUM
cana-4545	267	101	)	)	PUNCT
cana-4545	267	102	slightly	slightly	ADV
cana-4545	267	103	strong	strong	ADJ
cana-4545	267	104	ξ8	ξ8	NOUN
cana-4545	267	105	(	(	PUNCT
cana-4545	267	106	80	80	NUM
cana-4545	267	107	,	,	PUNCT
cana-4545	267	108	30	30	NUM
cana-4545	267	109	,	,	PUNCT
cana-4545	267	110	30	30	NUM
cana-4545	267	111	)	)	PUNCT
cana-4545	267	112	strong	strong	ADJ
cana-4545	267	113	ξ9	ξ9	NOUN
cana-4545	267	114	(	(	PUNCT
cana-4545	267	115	85	85	NUM
cana-4545	267	116	,	,	PUNCT
cana-4545	267	117	20	20	NUM
cana-4545	267	118	,	,	PUNCT
cana-4545	267	119	30	30	NUM
cana-4545	267	120	)	)	PUNCT
cana-4545	267	121	communications	communication	NOUN
cana-4545	267	122	on	on	ADP
cana-4545	267	123	applied	apply	VERB
cana-4545	267	124	nonlinear	nonlinear	ADJ
cana-4545	267	125	analysis	analysis	NOUN
cana-4545	267	126	issn	issn	NOUN
cana-4545	267	127	:	:	PUNCT
cana-4545	267	128	1074	1074	NUM
cana-4545	267	129	-	-	PUNCT
cana-4545	267	130	133x	133x	NUM
cana-4545	267	131	vol	vol	NOUN
cana-4545	267	132	32	32	NUM
cana-4545	267	133	no	no	NOUN
cana-4545	267	134	.	.	PUNCT
cana-4545	268	1	9s	9s	NUM
cana-4545	268	2	(	(	PUNCT
cana-4545	268	3	2025	2025	NUM
cana-4545	268	4	)	)	PUNCT
cana-4545	268	5	2645	2645	NUM
cana-4545	268	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	268	7	very	very	ADV
cana-4545	268	8	strong	strong	ADJ
cana-4545	268	9	ξ10	ξ10	ADJ
cana-4545	268	10	(	(	PUNCT
cana-4545	268	11	90	90	NUM
cana-4545	268	12	,	,	PUNCT
cana-4545	268	13	20	20	NUM
cana-4545	268	14	,	,	PUNCT
cana-4545	268	15	20	20	NUM
cana-4545	268	16	)	)	PUNCT
cana-4545	268	17	extremely	extremely	ADV
cana-4545	268	18	strong	strong	ADJ
cana-4545	268	19	ξ11	ξ11	NOUN
cana-4545	268	20	(	(	PUNCT
cana-4545	268	21	100	100	NUM
cana-4545	268	22	,	,	PUNCT
cana-4545	268	23	10	10	NUM
cana-4545	268	24	,	,	PUNCT
cana-4545	268	25	10	10	NUM
cana-4545	268	26	)	)	PUNCT
cana-4545	268	27	the	the	DET
cana-4545	268	28	decision	decision	NOUN
cana-4545	268	29	matrix	matrix	NOUN
cana-4545	268	30	is	be	AUX
cana-4545	268	31	presented	present	VERB
cana-4545	268	32	in	in	ADP
cana-4545	268	33	table	table	NOUN
cana-4545	268	34	2	2	NUM
cana-4545	268	35	,	,	PUNCT
cana-4545	268	36	where	where	SCONJ
cana-4545	268	37	evaluations	evaluation	NOUN
cana-4545	268	38	of	of	ADP
cana-4545	268	39	the	the	DET
cana-4545	268	40	decision	decision	NOUN
cana-4545	268	41	-	-	PUNCT
cana-4545	268	42	makers	maker	NOUN
cana-4545	268	43	on	on	ADP
cana-4545	268	44	each	each	DET
cana-4545	268	45	alternative	alternative	NOUN
cana-4545	268	46	(	(	PUNCT
cana-4545	268	47	ϑ1	ϑ1	NOUN
cana-4545	268	48	,	,	PUNCT
cana-4545	268	49	ϑ2	ϑ2	PROPN
cana-4545	268	50	,	,	PUNCT
cana-4545	268	51	ϑ3	ϑ3	NOUN
cana-4545	268	52	and	and	CCONJ
cana-4545	268	53	ϑ4	ϑ4	NOUN
cana-4545	268	54	)	)	PUNCT
cana-4545	268	55	are	be	AUX
cana-4545	268	56	carried	carry	VERB
cana-4545	268	57	out	out	ADP
cana-4545	268	58	with	with	ADP
cana-4545	268	59	respect	respect	NOUN
cana-4545	268	60	to	to	ADP
cana-4545	268	61	identified	identify	VERB
cana-4545	268	62	criteria	criterion	NOUN
cana-4545	268	63	and	and	CCONJ
cana-4545	268	64	sub	sub	NOUN
cana-4545	268	65	-	-	NOUN
cana-4545	268	66	criteria	criterion	NOUN
cana-4545	268	67	.	.	PUNCT
cana-4545	269	1	evaluations	evaluation	NOUN
cana-4545	269	2	will	will	AUX
cana-4545	269	3	be	be	AUX
cana-4545	269	4	made	make	VERB
cana-4545	269	5	using	use	VERB
cana-4545	269	6	pre	pre	ADJ
cana-4545	269	7	-	-	ADJ
cana-4545	269	8	defined	define	VERB
cana-4545	269	9	linguistic	linguistic	ADJ
cana-4545	269	10	phrases	phrase	NOUN
cana-4545	269	11	in	in	ADP
cana-4545	269	12	order	order	NOUN
cana-4545	269	13	to	to	PART
cana-4545	269	14	express	express	VERB
cana-4545	269	15	the	the	DET
cana-4545	269	16	different	different	ADJ
cana-4545	269	17	levels	level	NOUN
cana-4545	269	18	of	of	ADP
cana-4545	269	19	performance	performance	NOUN
cana-4545	269	20	as	as	SCONJ
cana-4545	269	21	depicted	depict	VERB
cana-4545	269	22	below	below	ADV
cana-4545	269	23	.	.	PUNCT
cana-4545	270	1	table	table	NOUN
cana-4545	270	2	2	2	NUM
cana-4545	270	3	:	:	PUNCT
cana-4545	270	4	decision	decision	NOUN
cana-4545	270	5	matrix	matrix	NOUN
cana-4545	270	6	in	in	ADP
cana-4545	270	7	linguistic	linguistic	ADJ
cana-4545	270	8	terms	term	NOUN
cana-4545	270	9	criteria	criteria	VERB
cana-4545	270	10	θ1	θ1	NOUN
cana-4545	270	11	θ2	θ2	PROPN
cana-4545	270	12	θ3	θ3	PROPN
cana-4545	270	13	θ4	θ4	PROPN
cana-4545	270	14	𝒜1	𝒜1	NOUN
cana-4545	270	15	ξ1	ξ1	PROPN
cana-4545	270	16	ξ2	ξ2	PROPN
cana-4545	270	17	ξ4	ξ4	PROPN
cana-4545	270	18	ξ3	ξ3	PROPN
cana-4545	270	19	𝒜2	𝒜2	PROPN
cana-4545	270	20	ξ2	ξ2	PROPN
cana-4545	270	21	ξ4	ξ4	PROPN
cana-4545	270	22	ξ3	ξ3	PROPN
cana-4545	270	23	ξ3	ξ3	PROPN
cana-4545	270	24	𝒜3	𝒜3	PROPN
cana-4545	270	25	ξ1	ξ1	PROPN
cana-4545	270	26	ξ2	ξ2	PROPN
cana-4545	270	27	ξ3	ξ3	PROPN
cana-4545	270	28	ξ4	ξ4	PROPN
cana-4545	270	29	𝒜4	𝒜4	NOUN
cana-4545	270	30	ξ10	ξ10	ADJ
cana-4545	270	31	ξ9	ξ9	NOUN
cana-4545	270	32	ξ7	ξ7	NOUN
cana-4545	270	33	ξ6	ξ6	NOUN
cana-4545	270	34	𝒜5	𝒜5	NOUN
cana-4545	270	35	ξ2	ξ2	PROPN
cana-4545	270	36	ξ4	ξ4	NOUN
cana-4545	270	37	ξ3	ξ3	PROPN
cana-4545	270	38	ξ1	ξ1	NOUN
cana-4545	270	39	table	table	NOUN
cana-4545	270	40	3	3	NUM
cana-4545	270	41	:	:	PUNCT
cana-4545	270	42	decision	decision	NOUN
cana-4545	270	43	matrix	matrix	NOUN
cana-4545	270	44	in	in	ADP
cana-4545	270	45	neutrosophic	neutrosophic	ADJ
cana-4545	270	46	values	value	NOUN
cana-4545	270	47	.	.	PUNCT
cana-4545	271	1	here	here	ADV
cana-4545	271	2	each	each	DET
cana-4545	271	3	alternative	alternative	ADJ
cana-4545	271	4	ϑ1	ϑ1	NOUN
cana-4545	271	5	,	,	PUNCT
cana-4545	271	6	ϑ2	ϑ2	PROPN
cana-4545	271	7	,	,	PUNCT
cana-4545	271	8	ϑ3	ϑ3	PROPN
cana-4545	271	9	,	,	PUNCT
cana-4545	271	10	ϑ4	ϑ4	PROPN
cana-4545	271	11	is	be	AUX
cana-4545	271	12	evaluated	evaluate	VERB
cana-4545	271	13	w.r.t	w.r.t	NOUN
cana-4545	271	14	.	.	PUNCT
cana-4545	272	1	criteria	criterion	NOUN
cana-4545	272	2	.	.	PUNCT
cana-4545	273	1	each	each	DET
cana-4545	273	2	evaluation	evaluation	NOUN
cana-4545	273	3	will	will	AUX
cana-4545	273	4	be	be	AUX
cana-4545	273	5	made	make	VERB
cana-4545	273	6	by	by	ADP
cana-4545	273	7	using	use	VERB
cana-4545	273	8	three	three	NUM
cana-4545	273	9	components	component	NOUN
cana-4545	273	10	:	:	PUNCT
cana-4545	273	11	truth	truth	NOUN
cana-4545	273	12	(	(	PUNCT
cana-4545	273	13	𝒯	𝒯	PROPN
cana-4545	273	14	)	)	PUNCT
cana-4545	273	15	,	,	PUNCT
cana-4545	273	16	indeterminacy	indeterminacy	NOUN
cana-4545	273	17	(	(	PUNCT
cana-4545	273	18	ℐ	ℐ	NOUN
cana-4545	273	19	)	)	PUNCT
cana-4545	273	20	and	and	CCONJ
cana-4545	273	21	falsity	falsity	NOUN
cana-4545	273	22	(	(	PUNCT
cana-4545	273	23	𝓕	𝓕	NOUN
cana-4545	273	24	)	)	PUNCT
cana-4545	273	25	.	.	PUNCT
cana-4545	274	1	this	this	PRON
cana-4545	274	2	will	will	AUX
cana-4545	274	3	provide	provide	VERB
cana-4545	274	4	a	a	DET
cana-4545	274	5	complete	complete	ADJ
cana-4545	274	6	description	description	NOUN
cana-4545	274	7	of	of	ADP
cana-4545	274	8	the	the	DET
cana-4545	274	9	extent	extent	NOUN
cana-4545	274	10	to	to	PART
cana-4545	274	11	which	which	PRON
cana-4545	274	12	a	a	DET
cana-4545	274	13	criterion	criterion	NOUN
cana-4545	274	14	is	be	AUX
cana-4545	274	15	satisfied	satisfied	ADJ
cana-4545	274	16	,	,	PUNCT
cana-4545	274	17	uncertain	uncertain	ADJ
cana-4545	274	18	,	,	PUNCT
cana-4545	274	19	or	or	CCONJ
cana-4545	274	20	unsatisfied	unsatisfied	ADJ
cana-4545	274	21	for	for	ADP
cana-4545	274	22	each	each	DET
cana-4545	274	23	alternative	alternative	NOUN
cana-4545	274	24	.	.	PUNCT
cana-4545	275	1	table	table	NOUN
cana-4545	275	2	3	3	NUM
cana-4545	275	3	:	:	PUNCT
cana-4545	275	4	decision	decision	NOUN
cana-4545	275	5	matrix	matrix	NOUN
cana-4545	275	6	in	in	ADP
cana-4545	275	7	neutrosophic	neutrosophic	ADJ
cana-4545	275	8	values	value	NOUN
cana-4545	275	9	criteria	criterion	NOUN
cana-4545	275	10	θ1	θ1	PROPN
cana-4545	275	11	(	(	PUNCT
cana-4545	275	12	𝓣	𝓣	PROPN
cana-4545	275	13	,	,	PUNCT
cana-4545	275	14	𝓘	𝓘	PROPN
cana-4545	275	15	,	,	PUNCT
cana-4545	275	16	𝓕)×10	𝓕)×10	NOUN
cana-4545	275	17	-	-	PUNCT
cana-4545	275	18	2	2	NUM
cana-4545	275	19	θ2	θ2	PROPN
cana-4545	275	20	(	(	PUNCT
cana-4545	275	21	𝓣	𝓣	PROPN
cana-4545	275	22	,	,	PUNCT
cana-4545	275	23	𝓘	𝓘	PROPN
cana-4545	275	24	,	,	PUNCT
cana-4545	275	25	𝓕	𝓕	NOUN
cana-4545	275	26	)	)	PUNCT
cana-4545	275	27	×10	×10	NOUN
cana-4545	275	28	-	-	SYM
cana-4545	275	29	2	2	NUM
cana-4545	275	30	θ3	θ3	NOUN
cana-4545	275	31	(	(	PUNCT
cana-4545	275	32	𝓣	𝓣	PROPN
cana-4545	275	33	,	,	PUNCT
cana-4545	275	34	𝓘	𝓘	PROPN
cana-4545	275	35	,	,	PUNCT
cana-4545	275	36	𝓕	𝓕	NOUN
cana-4545	275	37	)	)	PUNCT
cana-4545	275	38	×10	×10	NOUN
cana-4545	275	39	-	-	SYM
cana-4545	275	40	2	2	NUM
cana-4545	275	41	θ4	θ4	NOUN
cana-4545	275	42	(	(	PUNCT
cana-4545	275	43	𝓣	𝓣	PROPN
cana-4545	275	44	,	,	PUNCT
cana-4545	275	45	𝓘	𝓘	PROPN
cana-4545	275	46	,	,	PUNCT
cana-4545	275	47	𝓕	𝓕	NOUN
cana-4545	275	48	)	)	PUNCT
cana-4545	275	49	×10	×10	NOUN
cana-4545	275	50	-	-	SYM
cana-4545	275	51	2	2	NUM
cana-4545	275	52	𝒜1	𝒜1	NOUN
cana-4545	275	53	(	(	PUNCT
cana-4545	275	54	0,100,100	0,100,100	NUM
cana-4545	275	55	)	)	PUNCT
cana-4545	275	56	(	(	PUNCT
cana-4545	275	57	20	20	NUM
cana-4545	275	58	,	,	PUNCT
cana-4545	275	59	90	90	NUM
cana-4545	275	60	,	,	PUNCT
cana-4545	275	61	80	80	NUM
cana-4545	275	62	)	)	PUNCT
cana-4545	275	63	(	(	PUNCT
cana-4545	275	64	40	40	NUM
cana-4545	275	65	,	,	PUNCT
cana-4545	275	66	70	70	NUM
cana-4545	275	67	,	,	PUNCT
cana-4545	275	68	70	70	NUM
cana-4545	275	69	)	)	PUNCT
cana-4545	275	70	(	(	PUNCT
cana-4545	275	71	30	30	NUM
cana-4545	275	72	,	,	PUNCT
cana-4545	275	73	80	80	NUM
cana-4545	275	74	,	,	PUNCT
cana-4545	275	75	70	70	NUM
cana-4545	275	76	)	)	PUNCT
cana-4545	275	77	𝒜2	𝒜2	NOUN
cana-4545	275	78	(	(	PUNCT
cana-4545	275	79	20	20	NUM
cana-4545	275	80	,	,	PUNCT
cana-4545	275	81	90	90	NUM
cana-4545	275	82	,	,	PUNCT
cana-4545	275	83	80	80	NUM
cana-4545	275	84	)	)	PUNCT
cana-4545	275	85	(	(	PUNCT
cana-4545	275	86	40	40	NUM
cana-4545	275	87	,	,	PUNCT
cana-4545	275	88	70	70	NUM
cana-4545	275	89	,	,	PUNCT
cana-4545	275	90	70	70	NUM
cana-4545	275	91	)	)	PUNCT
cana-4545	275	92	(	(	PUNCT
cana-4545	275	93	30	30	NUM
cana-4545	275	94	,	,	PUNCT
cana-4545	275	95	80	80	NUM
cana-4545	275	96	,	,	PUNCT
cana-4545	275	97	70	70	NUM
cana-4545	275	98	)	)	PUNCT
cana-4545	275	99	(	(	PUNCT
cana-4545	275	100	30	30	NUM
cana-4545	275	101	,	,	PUNCT
cana-4545	275	102	80	80	NUM
cana-4545	275	103	,	,	PUNCT
cana-4545	275	104	70	70	NUM
cana-4545	275	105	)	)	PUNCT
cana-4545	275	106	𝒜3	𝒜3	NOUN
cana-4545	275	107	(	(	PUNCT
cana-4545	275	108	0,100,100	0,100,100	NUM
cana-4545	275	109	)	)	PUNCT
cana-4545	275	110	(	(	PUNCT
cana-4545	275	111	20	20	NUM
cana-4545	275	112	,	,	PUNCT
cana-4545	275	113	90	90	NUM
cana-4545	275	114	,	,	PUNCT
cana-4545	275	115	80	80	NUM
cana-4545	275	116	)	)	PUNCT
cana-4545	275	117	(	(	PUNCT
cana-4545	275	118	30	30	NUM
cana-4545	275	119	,	,	PUNCT
cana-4545	275	120	80	80	NUM
cana-4545	275	121	,	,	PUNCT
cana-4545	275	122	70	70	NUM
cana-4545	275	123	)	)	PUNCT
cana-4545	275	124	(	(	PUNCT
cana-4545	275	125	40	40	NUM
cana-4545	275	126	,	,	PUNCT
cana-4545	275	127	70	70	NUM
cana-4545	275	128	,	,	PUNCT
cana-4545	275	129	70	70	NUM
cana-4545	275	130	)	)	PUNCT
cana-4545	275	131	𝒜4	𝒜4	NOUN
cana-4545	275	132	(	(	PUNCT
cana-4545	275	133	90	90	NUM
cana-4545	275	134	,	,	PUNCT
cana-4545	275	135	20	20	NUM
cana-4545	275	136	,	,	PUNCT
cana-4545	275	137	20	20	NUM
cana-4545	275	138	)	)	PUNCT
cana-4545	275	139	(	(	PUNCT
cana-4545	275	140	85	85	NUM
cana-4545	275	141	,	,	PUNCT
cana-4545	275	142	20	20	NUM
cana-4545	275	143	,	,	PUNCT
cana-4545	275	144	30	30	NUM
cana-4545	275	145	)	)	PUNCT
cana-4545	275	146	(	(	PUNCT
cana-4545	275	147	70	70	NUM
cana-4545	275	148	,	,	PUNCT
cana-4545	275	149	40	40	NUM
cana-4545	275	150	,	,	PUNCT
cana-4545	275	151	40	40	NUM
cana-4545	275	152	)	)	PUNCT
cana-4545	275	153	(	(	PUNCT
cana-4545	275	154	60	60	NUM
cana-4545	275	155	,	,	PUNCT
cana-4545	275	156	60	60	NUM
cana-4545	275	157	,	,	PUNCT
cana-4545	275	158	50	50	NUM
cana-4545	275	159	)	)	PUNCT
cana-4545	275	160	𝒜5	𝒜5	NOUN
cana-4545	275	161	(	(	PUNCT
cana-4545	275	162	20	20	NUM
cana-4545	275	163	,	,	PUNCT
cana-4545	275	164	90	90	NUM
cana-4545	275	165	,	,	PUNCT
cana-4545	275	166	80	80	NUM
cana-4545	275	167	)	)	PUNCT
cana-4545	275	168	(	(	PUNCT
cana-4545	275	169	40	40	NUM
cana-4545	275	170	,	,	PUNCT
cana-4545	275	171	70	70	NUM
cana-4545	275	172	,	,	PUNCT
cana-4545	275	173	70	70	NUM
cana-4545	275	174	)	)	PUNCT
cana-4545	275	175	(	(	PUNCT
cana-4545	275	176	30	30	NUM
cana-4545	275	177	,	,	PUNCT
cana-4545	275	178	80	80	NUM
cana-4545	275	179	,	,	PUNCT
cana-4545	275	180	70	70	NUM
cana-4545	275	181	)	)	PUNCT
cana-4545	275	182	(	(	PUNCT
cana-4545	275	183	0,100,100	0,100,100	NUM
cana-4545	275	184	)	)	PUNCT
cana-4545	275	185	using	use	VERB
cana-4545	275	186	the	the	DET
cana-4545	275	187	proposed	propose	VERB
cana-4545	275	188	entropy	entropy	NOUN
cana-4545	275	189	we	we	PRON
cana-4545	275	190	will	will	AUX
cana-4545	275	191	get	get	VERB
cana-4545	275	192	the	the	DET
cana-4545	275	193	entropy	entropy	NOUN
cana-4545	275	194	,	,	PUNCT
cana-4545	275	195	degree	degree	NOUN
cana-4545	275	196	of	of	ADP
cana-4545	275	197	divergence	divergence	NOUN
cana-4545	275	198	and	and	CCONJ
cana-4545	275	199	weight	weight	NOUN
cana-4545	275	200	of	of	ADP
cana-4545	275	201	the	the	DET
cana-4545	275	202	criteria	criterion	NOUN
cana-4545	275	203	in	in	ADP
cana-4545	275	204	table	table	NOUN
cana-4545	275	205	4	4	NUM
cana-4545	275	206	.	.	PUNCT
cana-4545	275	207	table	table	NOUN
cana-4545	275	208	4	4	NUM
cana-4545	275	209	:	:	PUNCT
cana-4545	275	210	criteria	criterion	NOUN
cana-4545	275	211	weights	weight	VERB
cana-4545	275	212	methods	method	NOUN
cana-4545	275	213	/	/	SYM
cana-4545	275	214	criteria	criterion	NOUN
cana-4545	275	215	quality	quality	NOUN
cana-4545	275	216	of	of	ADP
cana-4545	275	217	care	care	NOUN
cana-4545	275	218	cost	cost	NOUN
cana-4545	275	219	and	and	CCONJ
cana-4545	275	220	affordability	affordability	NOUN
cana-4545	275	221	hospital	hospital	NOUN
cana-4545	275	222	infrastructure	infrastructure	NOUN
cana-4545	275	223	and	and	CCONJ
cana-4545	275	224	facilities	facility	NOUN
cana-4545	275	225	staff	staff	NOUN
cana-4545	275	226	competency	competency	NOUN
cana-4545	275	227	and	and	CCONJ
cana-4545	275	228	training	train	VERB
cana-4545	275	229	patient	patient	NOUN
cana-4545	275	230	services	service	NOUN
cana-4545	275	231	and	and	CCONJ
cana-4545	275	232	satisfaction	satisfaction	NOUN
cana-4545	275	233	entropy	entropy	NOUN
cana-4545	275	234	value	value	NOUN
cana-4545	275	235	-0.9996	-0.9996	NOUN
cana-4545	275	236	-0.2907	-0.2907	NOUN
cana-4545	275	237	-0.9996	-0.9996	VERB
cana-4545	276	1	0.458075	0.458075	NUM
cana-4545	276	2	-0.9996	-0.9996	NOUN
cana-4545	276	3	communications	communication	NOUN
cana-4545	276	4	on	on	ADP
cana-4545	276	5	applied	apply	VERB
cana-4545	276	6	nonlinear	nonlinear	ADJ
cana-4545	276	7	analysis	analysis	NOUN
cana-4545	276	8	issn	issn	NOUN
cana-4545	276	9	:	:	PUNCT
cana-4545	276	10	1074	1074	NUM
cana-4545	276	11	-	-	PUNCT
cana-4545	276	12	133x	133x	NUM
cana-4545	276	13	vol	vol	NOUN
cana-4545	276	14	32	32	NUM
cana-4545	276	15	no	no	NOUN
cana-4545	276	16	.	.	PUNCT
cana-4545	277	1	9s	9s	NUM
cana-4545	277	2	(	(	PUNCT
cana-4545	277	3	2025	2025	NUM
cana-4545	277	4	)	)	PUNCT
cana-4545	277	5	2646	2646	NUM
cana-4545	277	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	277	7	degree	degree	NOUN
cana-4545	277	8	of	of	ADP
cana-4545	277	9	divergence	divergence	NOUN
cana-4545	277	10	𝑫𝒋	𝑫𝒋	PROPN
cana-4545	277	11	𝒑	𝒑	PRON
cana-4545	277	12	1.9996	1.9996	NUM
cana-4545	277	13	1.2907	1.2907	NUM
cana-4545	277	14	1.9996	1.9996	NUM
cana-4545	277	15	0.541925	0.541925	NUM
cana-4545	277	16	1.9996	1.9996	NUM
cana-4545	277	17	weight	weight	NOUN
cana-4545	277	18	of	of	ADP
cana-4545	277	19	the	the	DET
cana-4545	277	20	criteria	criterion	NOUN
cana-4545	278	1	𝑾𝒋	𝑾𝒋	VERB
cana-4545	278	2	𝒑	𝒑	SYM
cana-4545	278	3	0.25533	0.25533	NUM
cana-4545	278	4	0.16481	0.16481	NUM
cana-4545	278	5	0.25533	0.25533	NUM
cana-4545	278	6	0.069199	0.069199	NUM
cana-4545	278	7	0.25533	0.25533	NUM
cana-4545	278	8	table	table	NOUN
cana-4545	278	9	5	5	NUM
cana-4545	278	10	the	the	DET
cana-4545	278	11	aggregating	aggregating	NOUN
cana-4545	278	12	results	result	NOUN
cana-4545	278	13	by	by	ADP
cana-4545	278	14	the	the	DET
cana-4545	278	15	𝑵𝑾𝑨𝒘	𝑵𝑾𝑨𝒘	NOUN
cana-4545	278	16	and	and	CCONJ
cana-4545	278	17	𝑵𝑾𝑮𝒘operators	𝑵𝑾𝑮𝒘operator	NOUN
cana-4545	278	18	hospital	hospital	VERB
cana-4545	278	19	𝑁𝑊𝐴𝑤	𝑁𝑊𝐴𝑤	PROPN
cana-4545	278	20	(	(	PUNCT
cana-4545	278	21	𝓣	𝓣	PROPN
cana-4545	278	22	,	,	PUNCT
cana-4545	278	23	𝓘	𝓘	PROPN
cana-4545	278	24	,	,	PUNCT
cana-4545	278	25	𝓕	𝓕	NOUN
cana-4545	278	26	)	)	PUNCT
cana-4545	278	27	𝑁𝑊𝐺𝑤(𝓣	𝑁𝑊𝐺𝑤(𝓣	PROPN
cana-4545	278	28	,	,	PUNCT
cana-4545	278	29	𝓘	𝓘	PROPN
cana-4545	278	30	,	,	PUNCT
cana-4545	278	31	𝓕	𝓕	NOUN
cana-4545	278	32	)	)	PUNCT
cana-4545	278	33	θ1	θ1	NOUN
cana-4545	278	34	(	(	PUNCT
cana-4545	278	35	0.35,0.57,0.72	0.35,0.57,0.72	NUM
cana-4545	278	36	)	)	PUNCT
cana-4545	278	37	(	(	PUNCT
cana-4545	278	38	0.34,0.77,0.73	0.34,0.77,0.73	X
cana-4545	278	39	)	)	PUNCT
cana-4545	278	40	θ2	θ2	PROPN
cana-4545	278	41	(	(	PUNCT
cana-4545	278	42	0.44,0.65,0.66	0.44,0.65,0.66	NOUN
cana-4545	278	43	)	)	PUNCT
cana-4545	278	44	(	(	PUNCT
cana-4545	278	45	0.44,0.66,0.66	0.44,0.66,0.66	NUM
cana-4545	278	46	)	)	PUNCT
cana-4545	278	47	θ3	θ3	NOUN
cana-4545	278	48	(	(	PUNCT
cana-4545	278	49	0.41,0.70,064	0.41,0.70,064	NUM
cana-4545	278	50	)	)	PUNCT
cana-4545	278	51	(	(	PUNCT
cana-4545	278	52	0.40,0.71,0.65	0.40,0.71,0.65	NOUN
cana-4545	278	53	)	)	PUNCT
cana-4545	278	54	θ4	θ4	NOUN
cana-4545	278	55	(	(	PUNCT
cana-4545	278	56	0.35,0.76,0.69	0.35,0.76,0.69	NOUN
cana-4545	278	57	)	)	PUNCT
cana-4545	278	58	(	(	PUNCT
cana-4545	278	59	0.32,0.78,0.72	0.32,0.78,0.72	NOUN
cana-4545	278	60	)	)	PUNCT
cana-4545	278	61	in	in	ADP
cana-4545	278	62	table	table	NOUN
cana-4545	278	63	5	5	NUM
cana-4545	278	64	,	,	PUNCT
cana-4545	278	65	the	the	DET
cana-4545	278	66	aggregating	aggregate	VERB
cana-4545	278	67	values	value	NOUN
cana-4545	278	68	found	find	VERB
cana-4545	278	69	by	by	ADP
cana-4545	278	70	using	use	VERB
cana-4545	278	71	𝑁𝑊𝐴𝑤	𝑁𝑊𝐴𝑤	NOUN
cana-4545	278	72	operator	operator	NOUN
cana-4545	278	73	and	and	CCONJ
cana-4545	278	74	𝑁𝑊𝐺𝑤	𝑁𝑊𝐺𝑤	NOUN
cana-4545	278	75	operator	operator	NOUN
cana-4545	278	76	table	table	NOUN
cana-4545	278	77	6	6	NUM
cana-4545	278	78	the	the	DET
cana-4545	278	79	score	score	NOUN
cana-4545	278	80	functions	function	NOUN
cana-4545	278	81	hospital	hospital	NOUN
cana-4545	278	82	𝑁𝑊𝐴𝑤	𝑁𝑊𝐴𝑤	NOUN
cana-4545	278	83	𝑁𝑊𝐺𝑤	𝑁𝑊𝐺𝑤	VERB
cana-4545	278	84	θ1	θ1	NOUN
cana-4545	278	85	0.2931	0.2931	NUM
cana-4545	278	86	0.2810	0.2810	NUM
cana-4545	278	87	θ2	θ2	ADV
cana-4545	278	88	0.3778	0.3778	NUM
cana-4545	278	89	0.3733	0.3733	NUM
cana-4545	278	90	θ3	θ3	ADP
cana-4545	278	91	0.3562	0.3562	NUM
cana-4545	278	92	0.3475	0.3475	NUM
cana-4545	278	93	θ4	θ4	NOUN
cana-4545	278	94	0.3002	0.3002	NUM
cana-4545	278	95	0.2739	0.2739	NUM
cana-4545	278	96	in	in	ADP
cana-4545	278	97	table	table	NOUN
cana-4545	278	98	6	6	NUM
cana-4545	278	99	,	,	PUNCT
cana-4545	278	100	we	we	PRON
cana-4545	278	101	find	find	VERB
cana-4545	278	102	the	the	DET
cana-4545	278	103	score	score	NOUN
cana-4545	278	104	values	value	NOUN
cana-4545	278	105	by	by	ADP
cana-4545	278	106	using	use	VERB
cana-4545	278	107	aggregating	aggregate	VERB
cana-4545	278	108	values	value	NOUN
cana-4545	278	109	from	from	ADP
cana-4545	278	110	table	table	NOUN
cana-4545	278	111	5	5	NUM
cana-4545	278	112	.	.	PUNCT
cana-4545	278	113	table	table	NOUN
cana-4545	278	114	7	7	NUM
cana-4545	278	115	ordering	ordering	NOUN
cana-4545	278	116	of	of	ADP
cana-4545	278	117	hospitals	hospital	NOUN
cana-4545	278	118	ranking	rank	VERB
cana-4545	278	119	𝑁𝑊𝐴𝑤	𝑁𝑊𝐴𝑤	NOUN
cana-4545	278	120	θ2	θ2	PROPN
cana-4545	278	121	>	>	X
cana-4545	278	122	θ3	θ3	PROPN
cana-4545	278	123	>	>	X
cana-4545	278	124	θ4	θ4	PROPN
cana-4545	278	125	>	>	PUNCT
cana-4545	278	126	θ1	θ1	PROPN
cana-4545	278	127	𝑁𝑊𝐺𝑤	𝑁𝑊𝐺𝑤	VERB
cana-4545	278	128	θ2	θ2	PROPN
cana-4545	278	129	>	>	X
cana-4545	278	130	θ3	θ3	PROPN
cana-4545	278	131	>	>	X
cana-4545	278	132	θ1	θ1	PROPN
cana-4545	278	133	>	>	X
cana-4545	278	134	θ4	θ4	PROPN
cana-4545	278	135	table	table	NOUN
cana-4545	278	136	7	7	NUM
cana-4545	278	137	,	,	PUNCT
cana-4545	278	138	represented	represent	VERB
cana-4545	278	139	the	the	DET
cana-4545	278	140	ordering	ordering	NOUN
cana-4545	278	141	of	of	ADP
cana-4545	278	142	hospitals	hospital	NOUN
cana-4545	278	143	.	.	PUNCT
cana-4545	279	1	from	from	ADP
cana-4545	279	2	this	this	DET
cana-4545	279	3	table	table	NOUN
cana-4545	279	4	we	we	PRON
cana-4545	279	5	conclude	conclude	VERB
cana-4545	279	6	θ2	θ2	PROPN
cana-4545	279	7	is	be	AUX
cana-4545	279	8	the	the	DET
cana-4545	279	9	best	good	ADJ
cana-4545	279	10	hospital	hospital	NOUN
cana-4545	279	11	comparing	compare	VERB
cana-4545	279	12	with	with	ADP
cana-4545	279	13	others	other	NOUN
cana-4545	279	14	.	.	PUNCT
cana-4545	280	1	communications	communication	NOUN
cana-4545	280	2	on	on	ADP
cana-4545	280	3	applied	apply	VERB
cana-4545	280	4	nonlinear	nonlinear	ADJ
cana-4545	280	5	analysis	analysis	NOUN
cana-4545	280	6	issn	issn	NOUN
cana-4545	280	7	:	:	PUNCT
cana-4545	280	8	1074	1074	NUM
cana-4545	280	9	-	-	PUNCT
cana-4545	280	10	133x	133x	NUM
cana-4545	280	11	vol	vol	NOUN
cana-4545	280	12	32	32	NUM
cana-4545	280	13	no	no	NOUN
cana-4545	280	14	.	.	PUNCT
cana-4545	281	1	9s	9s	NUM
cana-4545	281	2	(	(	PUNCT
cana-4545	281	3	2025	2025	NUM
cana-4545	281	4	)	)	PUNCT
cana-4545	281	5	2647	2647	NUM
cana-4545	281	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	281	7	3.3	3.3	NUM
cana-4545	281	8	visualization	visualization	NOUN
cana-4545	281	9	of	of	ADP
cana-4545	281	10	entropy	entropy	NOUN
cana-4545	281	11	and	and	CCONJ
cana-4545	281	12	ranks	rank	VERB
cana-4545	281	13	figure	figure	VERB
cana-4545	281	14	2	2	NUM
cana-4545	281	15	:	:	PUNCT
cana-4545	281	16	flow	flow	VERB
cana-4545	281	17	chart	chart	NOUN
cana-4545	281	18	for	for	ADP
cana-4545	281	19	multi	multi	ADJ
cana-4545	281	20	attributes	attribute	NOUN
cana-4545	281	21	decision	decision	NOUN
cana-4545	281	22	making	making	NOUN
cana-4545	281	23	using	use	VERB
cana-4545	281	24	neutrosophic	neutrosophic	ADJ
cana-4545	281	25	set	set	NOUN
cana-4545	281	26	.	.	PUNCT
cana-4545	282	1	figure	figure	VERB
cana-4545	282	2	3	3	NUM
cana-4545	282	3	ranking	ranking	NOUN
cana-4545	282	4	of	of	ADP
cana-4545	282	5	hospitals	hospital	NOUN
cana-4545	282	6	by	by	ADP
cana-4545	282	7	n𝑊𝐴𝑤	n𝑊𝐴𝑤	ADJ
cana-4545	282	8	figure	figure	NOUN
cana-4545	282	9	4	4	NUM
cana-4545	282	10	ranking	ranking	NOUN
cana-4545	282	11	of	of	ADP
cana-4545	282	12	hospitals	hospital	NOUN
cana-4545	282	13	by	by	ADP
cana-4545	282	14	n𝑊g𝑤	n𝑊g𝑤	PROPN
cana-4545	282	15	-1.00	-1.00	X
cana-4545	282	16	-0.29	-0.29	X
cana-4545	282	17	-1.00	-1.00	NUM
cana-4545	282	18	0.46	0.46	NUM
cana-4545	282	19	-1.00	-1.00	NUM
cana-4545	282	20	2.00	2.00	NUM
cana-4545	282	21	1.29	1.29	NUM
cana-4545	282	22	2.00	2.00	NUM
cana-4545	282	23	0.54	0.54	NUM
cana-4545	282	24	2.00	2.00	NUM
cana-4545	282	25	0.26	0.26	NUM
cana-4545	282	26	0.16	0.16	NUM
cana-4545	282	27	0.26	0.26	NUM
cana-4545	282	28	0.07	0.07	NUM
cana-4545	282	29	0.26	0.26	NUM
cana-4545	282	30	-2.00	-2.00	NUM
cana-4545	282	31	-1.00	-1.00	NUM
cana-4545	282	32	0.00	0.00	NUM
cana-4545	282	33	1.00	1.00	NUM
cana-4545	282	34	2.00	2.00	NUM
cana-4545	282	35	3.00	3.00	NUM
cana-4545	282	36	0	0	NUM
cana-4545	282	37	1	1	NUM
cana-4545	282	38	2	2	NUM
cana-4545	282	39	3	3	NUM
cana-4545	282	40	4	4	NUM
cana-4545	282	41	5	5	NUM
cana-4545	282	42	6	6	NUM
cana-4545	282	43	entropy	entropy	NOUN
cana-4545	282	44	value	value	NOUN
cana-4545	282	45	degree	degree	NOUN
cana-4545	282	46	of	of	ADP
cana-4545	282	47	divergence	divergence	NOUN
cana-4545	282	48	0.2931	0.2931	NUM
cana-4545	282	49	0.3778	0.3778	NUM
cana-4545	282	50	0.3562	0.3562	NUM
cana-4545	282	51	0.3002	0.3002	NUM
cana-4545	282	52	0.0000	0.0000	NUM
cana-4545	282	53	0.0500	0.0500	NUM
cana-4545	282	54	0.1000	0.1000	NUM
cana-4545	282	55	0.1500	0.1500	NUM
cana-4545	282	56	0.2000	0.2000	NUM
cana-4545	282	57	0.2500	0.2500	NUM
cana-4545	282	58	0.3000	0.3000	NUM
cana-4545	282	59	0.3500	0.3500	NUM
cana-4545	282	60	0.4000	0.4000	NUM
cana-4545	282	61	θ1	θ1	NOUN
cana-4545	282	62	θ2	θ2	ADP
cana-4545	282	63	θ3	θ3	PROPN
cana-4545	282	64	θ4	θ4	NOUN
cana-4545	282	65	0.2810	0.2810	NUM
cana-4545	282	66	0.3733	0.3733	NUM
cana-4545	282	67	0.3475	0.3475	NUM
cana-4545	282	68	0.2739	0.2739	NUM
cana-4545	282	69	0.0000	0.0000	NUM
cana-4545	282	70	0.1000	0.1000	NUM
cana-4545	282	71	0.2000	0.2000	NUM
cana-4545	282	72	0.3000	0.3000	NUM
cana-4545	282	73	0.4000	0.4000	NUM
cana-4545	282	74	θ1	θ1	NOUN
cana-4545	282	75	θ2	θ2	ADP
cana-4545	282	76	θ3	θ3	PROPN
cana-4545	282	77	θ4	θ4	PROPN
cana-4545	282	78	communications	communication	NOUN
cana-4545	282	79	on	on	ADP
cana-4545	282	80	applied	apply	VERB
cana-4545	282	81	nonlinear	nonlinear	ADJ
cana-4545	282	82	analysis	analysis	NOUN
cana-4545	282	83	issn	issn	NOUN
cana-4545	282	84	:	:	PUNCT
cana-4545	282	85	1074	1074	NUM
cana-4545	282	86	-	-	PUNCT
cana-4545	282	87	133x	133x	NUM
cana-4545	282	88	vol	vol	NOUN
cana-4545	282	89	32	32	NUM
cana-4545	282	90	no	no	NOUN
cana-4545	282	91	.	.	PUNCT
cana-4545	283	1	9s	9s	NUM
cana-4545	283	2	(	(	PUNCT
cana-4545	283	3	2025	2025	NUM
cana-4545	283	4	)	)	PUNCT
cana-4545	283	5	2648	2648	NUM
cana-4545	283	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	283	7	figure	figure	NOUN
cana-4545	283	8	5	5	NUM
cana-4545	283	9	comparison	comparison	NOUN
cana-4545	283	10	ranking	ranking	NOUN
cana-4545	283	11	of	of	ADP
cana-4545	283	12	hospitals	hospital	NOUN
cana-4545	283	13	by	by	ADP
cana-4545	283	14	𝑃𝐹𝑊𝐴𝑤	𝑃𝐹𝑊𝐴𝑤	NOUN
cana-4545	283	15	and	and	CCONJ
cana-4545	283	16	𝑃𝐹𝑊g𝑤	𝑃𝐹𝑊g𝑤	NOUN
cana-4545	283	17	4	4	NUM
cana-4545	283	18	.	.	PUNCT
cana-4545	284	1	conclusions	conclusion	NOUN
cana-4545	284	2	in	in	ADP
cana-4545	284	3	this	this	DET
cana-4545	284	4	study	study	NOUN
cana-4545	284	5	,	,	PUNCT
cana-4545	284	6	we	we	PRON
cana-4545	284	7	aimed	aim	VERB
cana-4545	284	8	to	to	PART
cana-4545	284	9	develop	develop	VERB
cana-4545	284	10	a	a	DET
cana-4545	284	11	robust	robust	ADJ
cana-4545	284	12	methodology	methodology	NOUN
cana-4545	284	13	for	for	ADP
cana-4545	284	14	selecting	select	VERB
cana-4545	284	15	the	the	DET
cana-4545	284	16	best	good	ADJ
cana-4545	284	17	hospital	hospital	NOUN
cana-4545	284	18	from	from	ADP
cana-4545	284	19	a	a	DET
cana-4545	284	20	set	set	NOUN
cana-4545	284	21	of	of	ADP
cana-4545	284	22	available	available	ADJ
cana-4545	284	23	options	option	NOUN
cana-4545	284	24	by	by	ADP
cana-4545	284	25	leveraging	leverage	VERB
cana-4545	284	26	a	a	DET
cana-4545	284	27	combination	combination	NOUN
cana-4545	284	28	of	of	ADP
cana-4545	284	29	neutrosophic	neutrosophic	ADJ
cana-4545	284	30	sets	set	NOUN
cana-4545	284	31	,	,	PUNCT
cana-4545	284	32	entropy	entropy	NOUN
cana-4545	284	33	,	,	PUNCT
cana-4545	284	34	and	and	CCONJ
cana-4545	284	35	multi	multi	ADJ
cana-4545	284	36	-	-	ADJ
cana-4545	284	37	attribute	attribute	NOUN
cana-4545	284	38	decision	decision	NOUN
cana-4545	284	39	making	making	NOUN
cana-4545	284	40	(	(	PUNCT
cana-4545	284	41	madm	madm	PROPN
cana-4545	284	42	)	)	PUNCT
cana-4545	284	43	.	.	PUNCT
cana-4545	285	1	the	the	DET
cana-4545	285	2	integration	integration	NOUN
cana-4545	285	3	of	of	ADP
cana-4545	285	4	these	these	DET
cana-4545	285	5	techniques	technique	NOUN
cana-4545	285	6	provides	provide	VERB
cana-4545	285	7	a	a	DET
cana-4545	285	8	comprehensive	comprehensive	ADJ
cana-4545	285	9	and	and	CCONJ
cana-4545	285	10	flexible	flexible	ADJ
cana-4545	285	11	approach	approach	NOUN
cana-4545	285	12	to	to	PART
cana-4545	285	13	address	address	VERB
cana-4545	285	14	the	the	DET
cana-4545	285	15	inherent	inherent	ADJ
cana-4545	285	16	uncertainty	uncertainty	NOUN
cana-4545	285	17	,	,	PUNCT
cana-4545	285	18	vagueness	vagueness	NOUN
cana-4545	285	19	,	,	PUNCT
cana-4545	285	20	and	and	CCONJ
cana-4545	285	21	imprecision	imprecision	NOUN
cana-4545	285	22	involved	involve	VERB
cana-4545	285	23	in	in	ADP
cana-4545	285	24	hospital	hospital	NOUN
cana-4545	285	25	selection	selection	NOUN
cana-4545	285	26	,	,	PUNCT
cana-4545	285	27	a	a	DET
cana-4545	285	28	process	process	NOUN
cana-4545	285	29	influenced	influence	VERB
cana-4545	285	30	by	by	ADP
cana-4545	285	31	numerous	numerous	ADJ
cana-4545	285	32	qualitative	qualitative	ADJ
cana-4545	285	33	and	and	CCONJ
cana-4545	285	34	quantitative	quantitative	ADJ
cana-4545	285	35	criteria	criterion	NOUN
cana-4545	285	36	.	.	PUNCT
cana-4545	286	1	neutrosophic	neutrosophic	ADJ
cana-4545	286	2	sets	set	NOUN
cana-4545	286	3	enabled	enable	VERB
cana-4545	286	4	us	we	PRON
cana-4545	286	5	to	to	PART
cana-4545	286	6	model	model	VERB
cana-4545	286	7	the	the	DET
cana-4545	286	8	uncertainty	uncertainty	NOUN
cana-4545	286	9	and	and	CCONJ
cana-4545	286	10	indeterminacy	indeterminacy	NOUN
cana-4545	286	11	present	present	ADJ
cana-4545	286	12	in	in	ADP
cana-4545	286	13	the	the	DET
cana-4545	286	14	data	datum	NOUN
cana-4545	286	15	,	,	PUNCT
cana-4545	286	16	accommodating	accommodate	VERB
cana-4545	286	17	incomplete	incomplete	ADJ
cana-4545	286	18	,	,	PUNCT
cana-4545	286	19	inconsistent	inconsistent	ADJ
cana-4545	286	20	,	,	PUNCT
cana-4545	286	21	or	or	CCONJ
cana-4545	286	22	contradictory	contradictory	ADJ
cana-4545	286	23	information	information	NOUN
cana-4545	286	24	.	.	PUNCT
cana-4545	287	1	the	the	DET
cana-4545	287	2	inclusion	inclusion	NOUN
cana-4545	287	3	of	of	ADP
cana-4545	287	4	neutrosophic	neutrosophic	ADJ
cana-4545	287	5	elements	element	NOUN
cana-4545	287	6	allowed	allow	VERB
cana-4545	287	7	for	for	ADP
cana-4545	287	8	a	a	DET
cana-4545	287	9	more	more	ADV
cana-4545	287	10	nuanced	nuanced	ADJ
cana-4545	287	11	evaluation	evaluation	NOUN
cana-4545	287	12	of	of	ADP
cana-4545	287	13	hospital	hospital	NOUN
cana-4545	287	14	attributes	attribute	NOUN
cana-4545	287	15	,	,	PUNCT
cana-4545	287	16	considering	consider	VERB
cana-4545	287	17	degrees	degree	NOUN
cana-4545	287	18	of	of	ADP
cana-4545	287	19	truth	truth	NOUN
cana-4545	287	20	,	,	PUNCT
cana-4545	287	21	falsity	falsity	NOUN
cana-4545	287	22	,	,	PUNCT
cana-4545	287	23	and	and	CCONJ
cana-4545	287	24	indeterminacy	indeterminacy	NOUN
cana-4545	287	25	.	.	PUNCT
cana-4545	288	1	he	he	PRON
cana-4545	288	2	entropy	entropy	VERB
cana-4545	288	3	method	method	NOUN
cana-4545	288	4	was	be	AUX
cana-4545	288	5	employed	employ	VERB
cana-4545	288	6	to	to	PART
cana-4545	288	7	quantify	quantify	VERB
cana-4545	288	8	the	the	DET
cana-4545	288	9	uncertainty	uncertainty	NOUN
cana-4545	288	10	and	and	CCONJ
cana-4545	288	11	variability	variability	NOUN
cana-4545	288	12	in	in	ADP
cana-4545	288	13	the	the	DET
cana-4545	288	14	decision	decision	NOUN
cana-4545	288	15	-	-	PUNCT
cana-4545	288	16	making	make	VERB
cana-4545	288	17	criteria	criterion	NOUN
cana-4545	288	18	,	,	PUNCT
cana-4545	288	19	helping	help	VERB
cana-4545	288	20	to	to	PART
cana-4545	288	21	derive	derive	VERB
cana-4545	288	22	objective	objective	ADJ
cana-4545	288	23	weights	weight	NOUN
cana-4545	288	24	for	for	ADP
cana-4545	288	25	each	each	DET
cana-4545	288	26	attribute	attribute	NOUN
cana-4545	288	27	.	.	PUNCT
cana-4545	289	1	this	this	PRON
cana-4545	289	2	ensured	ensure	VERB
cana-4545	289	3	that	that	SCONJ
cana-4545	289	4	the	the	DET
cana-4545	289	5	criteria	criterion	NOUN
cana-4545	289	6	were	be	AUX
cana-4545	289	7	ranked	rank	VERB
cana-4545	289	8	appropriately	appropriately	ADV
cana-4545	289	9	based	base	VERB
cana-4545	289	10	on	on	ADP
cana-4545	289	11	their	their	PRON
cana-4545	289	12	importance	importance	NOUN
cana-4545	289	13	in	in	ADP
cana-4545	289	14	the	the	DET
cana-4545	289	15	decision	decision	NOUN
cana-4545	289	16	-	-	PUNCT
cana-4545	289	17	making	make	VERB
cana-4545	289	18	process	process	NOUN
cana-4545	289	19	,	,	PUNCT
cana-4545	289	20	accounting	account	VERB
cana-4545	289	21	for	for	ADP
cana-4545	289	22	their	their	PRON
cana-4545	289	23	inherent	inherent	ADJ
cana-4545	289	24	uncertainty	uncertainty	NOUN
cana-4545	289	25	.	.	PUNCT
cana-4545	290	1	multi	multi	ADJ
cana-4545	290	2	-	-	ADJ
cana-4545	290	3	attribute	attribute	NOUN
cana-4545	290	4	decision	decision	NOUN
cana-4545	290	5	making	making	NOUN
cana-4545	290	6	(	(	PUNCT
cana-4545	290	7	madm	madm	PROPN
cana-4545	290	8	)	)	PUNCT
cana-4545	290	9	was	be	AUX
cana-4545	290	10	utilized	utilize	VERB
cana-4545	290	11	to	to	PART
cana-4545	290	12	combine	combine	VERB
cana-4545	290	13	all	all	DET
cana-4545	290	14	the	the	DET
cana-4545	290	15	gathered	gather	VERB
cana-4545	290	16	information	information	NOUN
cana-4545	290	17	and	and	CCONJ
cana-4545	290	18	facilitate	facilitate	VERB
cana-4545	290	19	a	a	DET
cana-4545	290	20	well	well	ADV
cana-4545	290	21	-	-	PUNCT
cana-4545	290	22	rounded	rounded	ADJ
cana-4545	290	23	evaluation	evaluation	NOUN
cana-4545	290	24	of	of	ADP
cana-4545	290	25	each	each	DET
cana-4545	290	26	hospital	hospital	NOUN
cana-4545	290	27	.	.	PUNCT
cana-4545	291	1	the	the	DET
cana-4545	291	2	madm	madm	NOUN
cana-4545	291	3	process	process	NOUN
cana-4545	291	4	enabled	enable	VERB
cana-4545	291	5	the	the	DET
cana-4545	291	6	synthesis	synthesis	NOUN
cana-4545	291	7	of	of	ADP
cana-4545	291	8	various	various	ADJ
cana-4545	291	9	criteria	criterion	NOUN
cana-4545	291	10	—	—	PUNCT
cana-4545	291	11	such	such	ADJ
cana-4545	291	12	as	as	ADP
cana-4545	291	13	medical	medical	ADJ
cana-4545	291	14	expertise	expertise	NOUN
cana-4545	291	15	,	,	PUNCT
cana-4545	291	16	infrastructure	infrastructure	NOUN
cana-4545	291	17	,	,	PUNCT
cana-4545	291	18	accessibility	accessibility	NOUN
cana-4545	291	19	,	,	PUNCT
cana-4545	291	20	and	and	CCONJ
cana-4545	291	21	patient	patient	ADJ
cana-4545	291	22	satisfaction	satisfaction	NOUN
cana-4545	291	23	—	—	PUNCT
cana-4545	291	24	into	into	ADP
cana-4545	291	25	a	a	DET
cana-4545	291	26	single	single	ADJ
cana-4545	291	27	decision	decision	NOUN
cana-4545	291	28	matrix	matrix	NOUN
cana-4545	291	29	,	,	PUNCT
cana-4545	291	30	allowing	allow	VERB
cana-4545	291	31	for	for	ADP
cana-4545	291	32	an	an	DET
cana-4545	291	33	optimal	optimal	ADJ
cana-4545	291	34	selection	selection	NOUN
cana-4545	291	35	.	.	PUNCT
cana-4545	292	1	by	by	ADP
cana-4545	292	2	applying	apply	VERB
cana-4545	292	3	this	this	DET
cana-4545	292	4	integrated	integrate	VERB
cana-4545	292	5	framework	framework	NOUN
cana-4545	292	6	,	,	PUNCT
cana-4545	292	7	we	we	PRON
cana-4545	292	8	were	be	AUX
cana-4545	292	9	able	able	ADJ
cana-4545	292	10	to	to	PART
cana-4545	292	11	rank	rank	VERB
cana-4545	292	12	hospitals	hospital	NOUN
cana-4545	292	13	more	more	ADV
cana-4545	292	14	effectively	effectively	ADV
cana-4545	292	15	,	,	PUNCT
cana-4545	292	16	overcoming	overcome	VERB
cana-4545	292	17	challenges	challenge	NOUN
cana-4545	292	18	such	such	ADJ
cana-4545	292	19	as	as	ADP
cana-4545	292	20	missing	miss	VERB
cana-4545	292	21	data	datum	NOUN
cana-4545	292	22	,	,	PUNCT
cana-4545	292	23	conflicting	conflicting	ADJ
cana-4545	292	24	opinions	opinion	NOUN
cana-4545	292	25	,	,	PUNCT
cana-4545	292	26	and	and	CCONJ
cana-4545	292	27	diverse	diverse	ADJ
cana-4545	292	28	performance	performance	NOUN
cana-4545	292	29	measures	measure	NOUN
cana-4545	292	30	.	.	PUNCT
cana-4545	293	1	this	this	DET
cana-4545	293	2	methodology	methodology	NOUN
cana-4545	293	3	not	not	PART
cana-4545	293	4	only	only	ADV
cana-4545	293	5	provides	provide	VERB
cana-4545	293	6	a	a	DET
cana-4545	293	7	structured	structured	ADJ
cana-4545	293	8	approach	approach	NOUN
cana-4545	293	9	to	to	ADP
cana-4545	293	10	decision	decision	NOUN
cana-4545	293	11	-	-	PUNCT
cana-4545	293	12	making	making	NOUN
cana-4545	293	13	but	but	CCONJ
cana-4545	293	14	also	also	ADV
cana-4545	293	15	enhances	enhance	VERB
cana-4545	293	16	transparency	transparency	NOUN
cana-4545	293	17	and	and	CCONJ
cana-4545	293	18	robustness	robustness	NOUN
cana-4545	293	19	in	in	ADP
cana-4545	293	20	hospital	hospital	NOUN
cana-4545	293	21	selection	selection	NOUN
cana-4545	293	22	,	,	PUNCT
cana-4545	293	23	particularly	particularly	ADV
cana-4545	293	24	in	in	ADP
cana-4545	293	25	contexts	context	NOUN
cana-4545	293	26	where	where	SCONJ
cana-4545	293	27	multiple	multiple	ADJ
cana-4545	293	28	decisionmakers	decisionmaker	NOUN
cana-4545	293	29	or	or	CCONJ
cana-4545	293	30	stakeholders	stakeholder	NOUN
cana-4545	293	31	are	be	AUX
cana-4545	293	32	involved	involve	VERB
cana-4545	293	33	.	.	PUNCT
cana-4545	294	1	in	in	ADP
cana-4545	294	2	conclusion	conclusion	NOUN
cana-4545	294	3	,	,	PUNCT
cana-4545	294	4	the	the	DET
cana-4545	294	5	combination	combination	NOUN
cana-4545	294	6	of	of	ADP
cana-4545	294	7	neutrosophic	neutrosophic	ADJ
cana-4545	294	8	sets	set	NOUN
cana-4545	294	9	,	,	PUNCT
cana-4545	294	10	entropy	entropy	NOUN
cana-4545	294	11	,	,	PUNCT
cana-4545	294	12	and	and	CCONJ
cana-4545	294	13	madm	madm	NOUN
cana-4545	294	14	offers	offer	VERB
cana-4545	294	15	a	a	DET
cana-4545	294	16	powerful	powerful	ADJ
cana-4545	294	17	tool	tool	NOUN
cana-4545	294	18	for	for	ADP
cana-4545	294	19	hospital	hospital	NOUN
cana-4545	294	20	selection	selection	NOUN
cana-4545	294	21	,	,	PUNCT
cana-4545	294	22	providing	provide	VERB
cana-4545	294	23	decision	decision	NOUN
cana-4545	294	24	-	-	PUNCT
cana-4545	294	25	makers	maker	NOUN
cana-4545	294	26	with	with	ADP
cana-4545	294	27	a	a	DET
cana-4545	294	28	comprehensive	comprehensive	ADJ
cana-4545	294	29	,	,	PUNCT
cana-4545	294	30	flexible	flexible	ADJ
cana-4545	294	31	,	,	PUNCT
cana-4545	294	32	and	and	CCONJ
cana-4545	294	33	data	data	NOUN
cana-4545	294	34	-	-	PUNCT
cana-4545	294	35	driven	drive	VERB
cana-4545	294	36	framework	framework	NOUN
cana-4545	294	37	that	that	PRON
cana-4545	294	38	improves	improve	VERB
cana-4545	294	39	the	the	DET
cana-4545	294	40	accuracy	accuracy	NOUN
cana-4545	294	41	and	and	CCONJ
cana-4545	294	42	reliability	reliability	NOUN
cana-4545	294	43	of	of	ADP
cana-4545	294	44	the	the	DET
cana-4545	294	45	selection	selection	NOUN
cana-4545	294	46	process	process	NOUN
cana-4545	294	47	.	.	PUNCT
cana-4545	295	1	future	future	ADJ
cana-4545	295	2	work	work	NOUN
cana-4545	295	3	could	could	AUX
cana-4545	295	4	further	far	ADV
cana-4545	295	5	refine	refine	VERB
cana-4545	295	6	this	this	DET
cana-4545	295	7	methodology	methodology	NOUN
cana-4545	295	8	by	by	ADP
cana-4545	295	9	incorporating	incorporate	VERB
cana-4545	295	10	additional	additional	ADJ
cana-4545	295	11	factors	factor	NOUN
cana-4545	295	12	like	like	ADP
cana-4545	295	13	time	time	NOUN
cana-4545	295	14	and	and	CCONJ
cana-4545	295	15	dynamic	dynamic	ADJ
cana-4545	295	16	changes	change	NOUN
cana-4545	295	17	in	in	ADP
cana-4545	295	18	0.293	0.293	NUM
cana-4545	295	19	0.378	0.378	NUM
cana-4545	295	20	0.356	0.356	NUM
cana-4545	295	21	0.300	0.300	NUM
cana-4545	295	22	0.281	0.281	NUM
cana-4545	295	23	0.373	0.373	NUM
cana-4545	295	24	0.347	0.347	NUM
cana-4545	295	25	0.274	0.274	NUM
cana-4545	295	26	0.000	0.000	NUM
cana-4545	295	27	0.050	0.050	NUM
cana-4545	295	28	0.100	0.100	NUM
cana-4545	295	29	0.150	0.150	NUM
cana-4545	295	30	0.200	0.200	NUM
cana-4545	295	31	0.250	0.250	NUM
cana-4545	295	32	0.300	0.300	NUM
cana-4545	295	33	0.350	0.350	NUM
cana-4545	295	34	0.400	0.400	NUM
cana-4545	295	35	θ1	θ1	NOUN
cana-4545	295	36	θ2	θ2	ADP
cana-4545	295	37	θ3	θ3	PROPN
cana-4545	295	38	θ4	θ4	PROPN
cana-4545	295	39	𝑃𝐹𝑊𝐴𝑤	𝑃𝐹𝑊𝐴𝑤	NOUN
cana-4545	295	40	𝑃𝐹𝑊g𝑤	𝑃𝐹𝑊g𝑤	VERB
cana-4545	295	41	communications	communication	NOUN
cana-4545	295	42	on	on	ADP
cana-4545	295	43	applied	apply	VERB
cana-4545	295	44	nonlinear	nonlinear	ADJ
cana-4545	295	45	analysis	analysis	NOUN
cana-4545	295	46	issn	issn	NOUN
cana-4545	295	47	:	:	PUNCT
cana-4545	295	48	1074	1074	NUM
cana-4545	295	49	-	-	PUNCT
cana-4545	295	50	133x	133x	NUM
cana-4545	295	51	vol	vol	NOUN
cana-4545	295	52	32	32	NUM
cana-4545	295	53	no	no	NOUN
cana-4545	295	54	.	.	PUNCT
cana-4545	296	1	9s	9s	NUM
cana-4545	296	2	(	(	PUNCT
cana-4545	296	3	2025	2025	NUM
cana-4545	296	4	)	)	PUNCT
cana-4545	296	5	2649	2649	NUM
cana-4545	296	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4545	296	7	hospital	hospital	NOUN
cana-4545	296	8	performance	performance	NOUN
cana-4545	296	9	,	,	PUNCT
cana-4545	296	10	extending	extend	VERB
cana-4545	296	11	its	its	PRON
cana-4545	296	12	applicability	applicability	NOUN
cana-4545	296	13	to	to	ADP
cana-4545	296	14	real	real	ADJ
cana-4545	296	15	-	-	PUNCT
cana-4545	296	16	time	time	NOUN
cana-4545	296	17	decision	decision	NOUN
cana-4545	296	18	-	-	PUNCT
cana-4545	296	19	making	make	VERB
cana-4545	296	20	scenarios	scenario	NOUN
cana-4545	296	21	in	in	ADP
cana-4545	296	22	healthcare	healthcare	PROPN
cana-4545	296	23	management	management	NOUN
cana-4545	296	24	.	.	PUNCT
cana-4545	297	1	references	reference	NOUN
cana-4545	297	2	[	[	X
cana-4545	297	3	1	1	NUM
cana-4545	297	4	]	]	X
cana-4545	297	5	abbas	abbas	PROPN
cana-4545	297	6	,	,	PUNCT
cana-4545	297	7	m.	m.	NOUN
cana-4545	297	8	,	,	PUNCT
cana-4545	297	9	murtaza	murtaza	PROPN
cana-4545	297	10	,	,	PUNCT
cana-4545	297	11	g.	g.	PROPN
cana-4545	297	12	,	,	PUNCT
cana-4545	297	13	&	&	CCONJ
cana-4545	297	14	smarandache	smarandache	PROPN
cana-4545	297	15	,	,	PUNCT
cana-4545	297	16	f.	f.	PROPN
cana-4545	297	17	basic	basic	ADJ
cana-4545	297	18	operations	operation	NOUN
cana-4545	297	19	on	on	ADP
cana-4545	297	20	hypersoft	hypersoft	NOUN
cana-4545	297	21	sets	set	NOUN
cana-4545	297	22	and	and	CCONJ
cana-4545	297	23	hypersoft	hypersoft	NOUN
cana-4545	297	24	point	point	NOUN
cana-4545	297	25	,	,	PUNCT
cana-4545	297	26	neutrosophic	neutrosophic	ADJ
cana-4545	297	27	sets	set	NOUN
cana-4545	297	28	and	and	CCONJ
cana-4545	297	29	systems	system	NOUN
cana-4545	297	30	,	,	PUNCT
cana-4545	297	31	vol	vol	NOUN
cana-4545	297	32	.	.	PROPN
cana-4545	297	33	35	35	NUM
cana-4545	297	34	,	,	PUNCT
cana-4545	297	35	no	no	INTJ
cana-4545	297	36	.	.	NOUN
cana-4545	297	37	1	1	NUM
cana-4545	297	38	,	,	PUNCT
cana-4545	297	39	(	(	PUNCT
cana-4545	297	40	2020	2020	NUM
cana-4545	297	41	):	):	PUNCT
cana-4545	297	42	1	1	NUM
cana-4545	297	43	-	-	SYM
cana-4545	297	44	8	8	NUM
cana-4545	297	45	,	,	PUNCT
cana-4545	297	46	https://digitalrepository.unm.edu/nss_journal/vol35/iss1/23	https://digitalrepository.unm.edu/nss_journal/vol35/iss1/23	NOUN
cana-4545	297	47	.	.	PUNCT
cana-4545	298	1	[	[	X
cana-4545	298	2	2	2	NUM
cana-4545	298	3	]	]	PUNCT
cana-4545	298	4	çağman	çağman	NOUN
cana-4545	298	5	,	,	PUNCT
cana-4545	298	6	n.	n.	NOUN
cana-4545	298	7	,	,	PUNCT
cana-4545	298	8	&	&	CCONJ
cana-4545	298	9	enginoğlu	enginoğlu	PROPN
cana-4545	298	10	,	,	PUNCT
cana-4545	298	11	s.	s.	PROPN
cana-4545	298	12	soft	soft	ADJ
cana-4545	298	13	set	set	PROPN
cana-4545	298	14	theory	theory	NOUN
cana-4545	298	15	and	and	CCONJ
cana-4545	298	16	uni	uni	ADJ
cana-4545	298	17	–	–	PUNCT
cana-4545	298	18	int	int	NOUN
cana-4545	298	19	decision	decision	NOUN
cana-4545	298	20	making	making	NOUN
cana-4545	298	21	,	,	PUNCT
cana-4545	298	22	european	european	ADJ
cana-4545	298	23	journal	journal	PROPN
cana-4545	298	24	of	of	ADP
cana-4545	298	25	operational	operational	ADJ
cana-4545	298	26	research	research	NOUN
cana-4545	298	27	,	,	PUNCT
cana-4545	298	28	vol	vol	NOUN
cana-4545	298	29	.	.	PROPN
cana-4545	298	30	207	207	NUM
cana-4545	298	31	,	,	PUNCT
cana-4545	298	32	no	no	INTJ
cana-4545	298	33	.	.	NOUN
cana-4545	298	34	2	2	NUM
cana-4545	298	35	,	,	PUNCT
cana-4545	298	36	(	(	PUNCT
cana-4545	298	37	2010	2010	NUM
cana-4545	298	38	):	):	PUNCT
cana-4545	298	39	848–855	848–855	NUM
cana-4545	298	40	,	,	PUNCT
cana-4545	298	41	https://doi.org/10.1016/j.ejor.2010.05.017	https://doi.org/10.1016/j.ejor.2010.05.017	X
cana-4545	298	42	.	.	PUNCT
cana-4545	299	1	[	[	X
cana-4545	299	2	3	3	NUM
cana-4545	299	3	]	]	X
cana-4545	299	4	maji	maji	NOUN
cana-4545	299	5	,	,	PUNCT
cana-4545	299	6	p.	p.	PROPN
cana-4545	299	7	k.	k.	PROPN
cana-4545	299	8	,	,	PUNCT
cana-4545	299	9	biswas	biswas	PROPN
cana-4545	299	10	,	,	PUNCT
cana-4545	299	11	r.	r.	PROPN
cana-4545	299	12	,	,	PUNCT
cana-4545	299	13	&	&	CCONJ
cana-4545	299	14	roy	roy	PROPN
cana-4545	299	15	,	,	PUNCT
cana-4545	299	16	a.	a.	PROPN
cana-4545	299	17	r.	r.	PROPN
cana-4545	299	18	soft	soft	ADJ
cana-4545	299	19	set	set	PROPN
cana-4545	299	20	theory	theory	NOUN
cana-4545	299	21	:	:	PUNCT
cana-4545	299	22	a	a	DET
cana-4545	299	23	survey	survey	NOUN
cana-4545	299	24	of	of	ADP
cana-4545	299	25	recent	recent	ADJ
cana-4545	299	26	developments	development	NOUN
cana-4545	299	27	and	and	CCONJ
cana-4545	299	28	applications	application	NOUN
cana-4545	299	29	in	in	ADP
cana-4545	299	30	decision	decision	NOUN
cana-4545	299	31	making	making	NOUN
cana-4545	299	32	processes	process	NOUN
cana-4545	299	33	,	,	PUNCT
cana-4545	299	34	computers	computer	NOUN
cana-4545	299	35	and	and	CCONJ
cana-4545	299	36	mathematics	mathematic	NOUN
cana-4545	299	37	with	with	ADP
cana-4545	299	38	applications	application	NOUN
cana-4545	299	39	,	,	PUNCT
cana-4545	299	40	vol	vol	NOUN
cana-4545	299	41	.	.	PROPN
cana-4545	299	42	45	45	NUM
cana-4545	299	43	,	,	PUNCT
cana-4545	299	44	no	no	INTJ
cana-4545	299	45	.	.	PUNCT
cana-4545	299	46	3–4	3–4	NUM
cana-4545	299	47	,	,	PUNCT
cana-4545	299	48	(	(	PUNCT
cana-4545	299	49	2003	2003	NUM
cana-4545	299	50	):	):	PUNCT
cana-4545	299	51	555–562	555–562	NUM
cana-4545	299	52	.	.	PUNCT
cana-4545	300	1	[	[	X
cana-4545	300	2	4	4	NUM
cana-4545	300	3	]	]	X
cana-4545	300	4	molodtsov	molodtsov	NOUN
cana-4545	300	5	,	,	PUNCT
cana-4545	300	6	d.	d.	PROPN
cana-4545	300	7	soft	soft	ADJ
cana-4545	300	8	set	set	PROPN
cana-4545	300	9	theory	theory	NOUN
cana-4545	300	10	—	—	PUNCT
cana-4545	300	11	first	first	ADJ
cana-4545	300	12	results	result	NOUN
cana-4545	300	13	,	,	PUNCT
cana-4545	300	14	computers	computer	NOUN
cana-4545	300	15	&	&	CCONJ
cana-4545	300	16	mathematics	mathematics	PROPN
cana-4545	300	17	with	with	ADP
cana-4545	300	18	applications	application	NOUN
cana-4545	300	19	,	,	PUNCT
cana-4545	300	20	vol	vol	NOUN
cana-4545	300	21	.	.	PROPN
cana-4545	300	22	37	37	NUM
cana-4545	300	23	,	,	PUNCT
cana-4545	300	24	no	no	INTJ
cana-4545	300	25	.	.	PUNCT
cana-4545	301	1	4–5	4–5	NUM
cana-4545	301	2	,	,	PUNCT
cana-4545	301	3	(	(	PUNCT
cana-4545	301	4	1999	1999	NUM
cana-4545	301	5	):	):	PUNCT
cana-4545	301	6	19–31	19–31	NUM
cana-4545	301	7	.	.	PUNCT
cana-4545	302	1	[	[	X
cana-4545	302	2	5	5	NUM
cana-4545	302	3	]	]	X
cana-4545	302	4	saeed	saeed	PROPN
cana-4545	302	5	,	,	PUNCT
cana-4545	302	6	m.	m.	NOUN
cana-4545	302	7	,	,	PUNCT
cana-4545	302	8	ahsan	ahsan	PROPN
cana-4545	302	9	,	,	PUNCT
cana-4545	302	10	m.	m.	NOUN
cana-4545	302	11	,	,	PUNCT
cana-4545	302	12	siddique	siddique	NOUN
cana-4545	302	13	,	,	PUNCT
cana-4545	302	14	m.	m.	NOUN
cana-4545	302	15	,	,	PUNCT
cana-4545	302	16	&	&	CCONJ
cana-4545	302	17	ahmad	ahmad	PROPN
cana-4545	302	18	,	,	PUNCT
cana-4545	302	19	m.	m.	NOUN
cana-4545	302	20	a	a	DET
cana-4545	302	21	study	study	NOUN
cana-4545	302	22	of	of	ADP
cana-4545	302	23	the	the	DET
cana-4545	302	24	fundamentals	fundamental	NOUN
cana-4545	302	25	of	of	ADP
cana-4545	302	26	hypersoft	hypersoft	PROPN
cana-4545	302	27	set	set	VERB
cana-4545	302	28	theory	theory	NOUN
cana-4545	302	29	,	,	PUNCT
cana-4545	302	30	international	international	ADJ
cana-4545	302	31	journal	journal	NOUN
cana-4545	302	32	of	of	ADP
cana-4545	302	33	science	science	NOUN
cana-4545	302	34	and	and	CCONJ
cana-4545	302	35	engineering	engineering	NOUN
cana-4545	302	36	research	research	NOUN
cana-4545	302	37	,	,	PUNCT
cana-4545	302	38	(	(	PUNCT
cana-4545	302	39	2020	2020	NUM
cana-4545	302	40	):	):	PUNCT
cana-4545	302	41	1–10	1–10	NOUN
cana-4545	302	42	.	.	PUNCT
cana-4545	303	1	[	[	X
cana-4545	303	2	6	6	NUM
cana-4545	303	3	]	]	X
cana-4545	303	4	smarandache	smarandache	NOUN
cana-4545	303	5	,	,	PUNCT
cana-4545	303	6	f.	f.	PROPN
cana-4545	303	7	a	a	DET
cana-4545	303	8	unifying	unifying	ADJ
cana-4545	303	9	field	field	NOUN
cana-4545	303	10	in	in	ADP
cana-4545	303	11	logics	logic	NOUN
cana-4545	303	12	.	.	PUNCT
cana-4545	304	1	neutrosophy	neutrosophy	NOUN
cana-4545	304	2	:	:	PUNCT
cana-4545	304	3	neutrosophic	neutrosophic	ADJ
cana-4545	304	4	probability	probability	NOUN
cana-4545	304	5	,	,	PUNCT
cana-4545	304	6	set	set	NOUN
cana-4545	304	7	and	and	CCONJ
cana-4545	304	8	logic	logic	NOUN
cana-4545	304	9	,	,	PUNCT
cana-4545	304	10	american	american	ADJ
cana-4545	304	11	research	research	PROPN
cana-4545	304	12	press	press	PROPN
cana-4545	304	13	,	,	PUNCT
cana-4545	304	14	rehoboth	rehoboth	PROPN
cana-4545	304	15	.	.	PUNCT
cana-4545	305	1	(	(	PUNCT
cana-4545	305	2	1999	1999	NUM
cana-4545	305	3	)	)	PUNCT
cana-4545	306	1	[	[	X
cana-4545	306	2	7	7	X
cana-4545	306	3	]	]	X
cana-4545	306	4	smarandache	smarandache	NOUN
cana-4545	306	5	,	,	PUNCT
cana-4545	306	6	f.	f.	PROPN
cana-4545	306	7	foundation	foundation	PROPN
cana-4545	306	8	of	of	ADP
cana-4545	306	9	the	the	DET
cana-4545	306	10	super	super	ADV
cana-4545	306	11	hypersoft	hypersoft	NOUN
cana-4545	306	12	set	set	NOUN
cana-4545	306	13	and	and	CCONJ
cana-4545	306	14	the	the	DET
cana-4545	306	15	fuzzy	fuzzy	ADJ
cana-4545	306	16	extension	extension	NOUN
cana-4545	306	17	super	super	ADV
cana-4545	306	18	hypersoft	hypersoft	PROPN
cana-4545	306	19	set	set	NOUN
cana-4545	306	20	:	:	PUNCT
cana-4545	306	21	a	a	DET
cana-4545	306	22	new	new	ADJ
cana-4545	306	23	vision	vision	NOUN
cana-4545	306	24	,	,	PUNCT
cana-4545	306	25	neutrosophic	neutrosophic	ADJ
cana-4545	306	26	systems	system	NOUN
cana-4545	306	27	with	with	ADP
cana-4545	306	28	applications	application	NOUN
cana-4545	306	29	,	,	PUNCT
cana-4545	306	30	vol	vol	NOUN
cana-4545	306	31	.	.	PROPN
cana-4545	306	32	11	11	NUM
cana-4545	306	33	,	,	PUNCT
cana-4545	306	34	(	(	PUNCT
cana-4545	306	35	2023	2023	NUM
cana-4545	306	36	):	):	PUNCT
cana-4545	306	37	48	48	NUM
cana-4545	306	38	–	–	SYM
cana-4545	306	39	51	51	NUM
cana-4545	306	40	.	.	PUNCT
cana-4545	307	1	https://doi.org/10.61356/j.nswa.2023.95	https://doi.org/10.61356/j.nswa.2023.95	NOUN
cana-4545	307	2	[	[	X
cana-4545	307	3	8	8	NUM
cana-4545	307	4	]	]	X
cana-4545	307	5	khan	khan	PROPN
cana-4545	307	6	,	,	PUNCT
cana-4545	307	7	m.	m.	NOUN
cana-4545	307	8	,	,	PUNCT
cana-4545	307	9	son	son	NOUN
cana-4545	307	10	,	,	PUNCT
cana-4545	307	11	l.	l.	PROPN
cana-4545	307	12	h.	h.	PROPN
cana-4545	307	13	,	,	PUNCT
cana-4545	307	14	ali	ali	PROPN
cana-4545	307	15	,	,	PUNCT
cana-4545	307	16	m.	m.	NOUN
cana-4545	307	17	,	,	PUNCT
cana-4545	307	18	chau	chau	NOUN
cana-4545	307	19	,	,	PUNCT
cana-4545	307	20	h.	h.	PROPN
cana-4545	307	21	t.	t.	PROPN
cana-4545	307	22	m.	m.	PROPN
cana-4545	307	23	,	,	PUNCT
cana-4545	307	24	na	na	NOUN
cana-4545	307	25	,	,	PUNCT
cana-4545	307	26	n.	n.	PROPN
cana-4545	307	27	t.	t.	PROPN
cana-4545	307	28	n.	n.	PROPN
cana-4545	307	29	,	,	PUNCT
cana-4545	307	30	&	&	CCONJ
cana-4545	307	31	smarandache	smarandache	PROPN
cana-4545	307	32	,	,	PUNCT
cana-4545	307	33	f.	f.	PROPN
cana-4545	307	34	(	(	PUNCT
cana-4545	307	35	2018	2018	NUM
cana-4545	307	36	)	)	PUNCT
cana-4545	307	37	.	.	PUNCT
cana-4545	308	1	systematic	systematic	ADJ
cana-4545	308	2	review	review	NOUN
cana-4545	308	3	of	of	ADP
cana-4545	308	4	decision	decision	NOUN
cana-4545	308	5	-	-	PUNCT
cana-4545	308	6	making	make	VERB
cana-4545	308	7	algorithms	algorithm	NOUN
cana-4545	308	8	in	in	ADP
cana-4545	308	9	extended	extend	VERB
cana-4545	308	10	neutrosophic	neutrosophic	ADJ
cana-4545	308	11	sets	set	NOUN
cana-4545	308	12	.	.	PUNCT
cana-4545	309	1	symmetry	symmetry	NOUN
cana-4545	309	2	,	,	PUNCT
cana-4545	309	3	10(8	10(8	NOUN
cana-4545	309	4	)	)	PUNCT
cana-4545	309	5	,	,	PUNCT
cana-4545	309	6	article	article	NOUN
cana-4545	309	7	314	314	NUM
cana-4545	309	8	.	.	PUNCT
cana-4545	310	1	https://doi.org/10.3390/sym10080314	https://doi.org/10.3390/sym10080314	VERB
cana-4545	311	1	[	[	X
cana-4545	311	2	9	9	NUM
cana-4545	311	3	]	]	PUNCT
cana-4545	311	4	maji	maji	NOUN
cana-4545	311	5	,	,	PUNCT
cana-4545	311	6	p.	p.	PROPN
cana-4545	311	7	k.	k.	PROPN
cana-4545	311	8	(	(	PUNCT
cana-4545	311	9	2013	2013	NUM
cana-4545	311	10	)	)	PUNCT
cana-4545	311	11	.	.	PUNCT
cana-4545	312	1	neutrosophic	neutrosophic	ADJ
cana-4545	312	2	soft	soft	ADJ
cana-4545	312	3	set	set	NOUN
cana-4545	312	4	.	.	PUNCT
cana-4545	313	1	annals	annal	NOUN
cana-4545	313	2	of	of	ADP
cana-4545	313	3	fuzzy	fuzzy	ADJ
cana-4545	313	4	mathematics	mathematic	NOUN
cana-4545	313	5	and	and	CCONJ
cana-4545	313	6	informatics	informatic	NOUN
cana-4545	313	7	,	,	PUNCT
cana-4545	313	8	5(1	5(1	NUM
cana-4545	313	9	)	)	PUNCT
cana-4545	313	10	,	,	PUNCT
cana-4545	313	11	157–168	157–168	NUM
cana-4545	313	12	.	.	PUNCT
cana-4545	314	1	[	[	X
cana-4545	314	2	10	10	NUM
cana-4545	314	3	]	]	X
cana-4545	314	4	maji	maji	PROPN
cana-4545	314	5	,	,	PUNCT
cana-4545	314	6	p.	p.	PROPN
cana-4545	314	7	k.	k.	PROPN
cana-4545	314	8	,	,	PUNCT
cana-4545	314	9	biswas	biswas	PROPN
cana-4545	314	10	,	,	PUNCT
cana-4545	314	11	r.	r.	PROPN
cana-4545	314	12	,	,	PUNCT
cana-4545	314	13	&	&	CCONJ
cana-4545	314	14	roy	roy	PROPN
cana-4545	314	15	,	,	PUNCT
cana-4545	314	16	a.	a.	PROPN
cana-4545	314	17	r.	r.	PROPN
cana-4545	314	18	(	(	PUNCT
cana-4545	314	19	2003	2003	NUM
cana-4545	314	20	)	)	PUNCT
cana-4545	314	21	.	.	PUNCT
cana-4545	315	1	soft	soft	ADJ
cana-4545	315	2	set	set	NOUN
cana-4545	315	3	theory	theory	NOUN
cana-4545	315	4	:	:	PUNCT
cana-4545	315	5	a	a	DET
cana-4545	315	6	survey	survey	NOUN
cana-4545	315	7	of	of	ADP
cana-4545	315	8	recent	recent	ADJ
cana-4545	315	9	developments	development	NOUN
cana-4545	315	10	and	and	CCONJ
cana-4545	315	11	applications	application	NOUN
cana-4545	315	12	in	in	ADP
cana-4545	315	13	decision	decision	NOUN
cana-4545	315	14	making	make	VERB
cana-4545	315	15	processes	process	NOUN
cana-4545	315	16	with	with	ADP
cana-4545	315	17	examples	example	NOUN
cana-4545	315	18	from	from	ADP
cana-4545	315	19	real	real	ADJ
cana-4545	315	20	life	life	NOUN
cana-4545	315	21	situations	situation	NOUN
cana-4545	315	22	and	and	CCONJ
cana-4545	315	23	future	future	ADJ
cana-4545	315	24	directions	direction	NOUN
cana-4545	315	25	for	for	ADP
cana-4545	315	26	research	research	NOUN
cana-4545	315	27	in	in	ADP
cana-4545	315	28	this	this	DET
cana-4545	315	29	area	area	NOUN
cana-4545	315	30	of	of	ADP
cana-4545	315	31	study	study	NOUN
cana-4545	315	32	.	.	PUNCT
cana-4545	316	1	computers	computer	NOUN
cana-4545	316	2	and	and	CCONJ
cana-4545	316	3	mathematics	mathematic	NOUN
cana-4545	316	4	with	with	ADP
cana-4545	316	5	applications	application	NOUN
cana-4545	316	6	,	,	PUNCT
cana-4545	316	7	45	45	NUM
cana-4545	316	8	,	,	PUNCT
cana-4545	316	9	555–562	555–562	NUM
cana-4545	316	10	.	.	PUNCT
cana-4545	317	1	[	[	X
cana-4545	317	2	11	11	NUM
cana-4545	317	3	]	]	X
cana-4545	317	4	molodtsov	molodtsov	PROPN
cana-4545	317	5	,	,	PUNCT
cana-4545	317	6	d.	d.	PROPN
cana-4545	317	7	(	(	PUNCT
cana-4545	317	8	1999	1999	NUM
cana-4545	317	9	)	)	PUNCT
cana-4545	317	10	.	.	PUNCT
cana-4545	318	1	soft	soft	ADJ
cana-4545	318	2	set	set	NOUN
cana-4545	318	3	theory	theory	NOUN
cana-4545	318	4	—	—	PUNCT
cana-4545	318	5	first	first	ADJ
cana-4545	318	6	results	result	NOUN
cana-4545	318	7	.	.	PUNCT
cana-4545	319	1	computers	computer	NOUN
cana-4545	319	2	&	&	CCONJ
cana-4545	319	3	mathematics	mathematics	PROPN
cana-4545	319	4	with	with	ADP
cana-4545	319	5	applications	application	NOUN
cana-4545	319	6	,	,	PUNCT
cana-4545	319	7	37(4–5	37(4–5	NUM
cana-4545	319	8	)	)	PUNCT
cana-4545	319	9	,	,	PUNCT
cana-4545	319	10	19–31	19–31	NUM
cana-4545	319	11	.	.	PUNCT
cana-4545	320	1	[	[	X
cana-4545	320	2	12	12	NUM
cana-4545	320	3	]	]	X
cana-4545	320	4	saeed	saeed	PROPN
cana-4545	320	5	,	,	PUNCT
cana-4545	320	6	m.	m.	NOUN
cana-4545	320	7	,	,	PUNCT
cana-4545	320	8	ahsan	ahsan	PROPN
cana-4545	320	9	,	,	PUNCT
cana-4545	320	10	m.	m.	NOUN
cana-4545	320	11	,	,	PUNCT
cana-4545	320	12	siddique	siddique	NOUN
cana-4545	320	13	,	,	PUNCT
cana-4545	320	14	m.	m.	NOUN
cana-4545	320	15	,	,	PUNCT
cana-4545	320	16	&	&	CCONJ
cana-4545	320	17	ahmad	ahmad	PROPN
cana-4545	320	18	,	,	PUNCT
cana-4545	320	19	m.	m.	NOUN
cana-4545	320	20	(	(	PUNCT
cana-4545	320	21	2020	2020	NUM
cana-4545	320	22	)	)	PUNCT
cana-4545	320	23	.	.	PUNCT
cana-4545	321	1	a	a	DET
cana-4545	321	2	study	study	NOUN
cana-4545	321	3	of	of	ADP
cana-4545	321	4	the	the	DET
cana-4545	321	5	fundamentals	fundamental	NOUN
cana-4545	321	6	of	of	ADP
cana-4545	321	7	hypersoft	hypersoft	NOUN
cana-4545	321	8	set	set	VERB
cana-4545	321	9	theory	theory	NOUN
cana-4545	321	10	.	.	PUNCT
cana-4545	322	1	international	international	ADJ
cana-4545	322	2	journal	journal	PROPN
cana-4545	322	3	of	of	ADP
cana-4545	322	4	science	science	NOUN
cana-4545	322	5	and	and	CCONJ
cana-4545	322	6	engineering	engineering	NOUN
cana-4545	322	7	research	research	NOUN
cana-4545	322	8	.	.	PUNCT
cana-4545	323	1	[	[	X
cana-4545	323	2	13	13	NUM
cana-4545	323	3	]	]	X
cana-4545	323	4	smarandache	smarandache	NOUN
cana-4545	323	5	,	,	PUNCT
cana-4545	323	6	f.(2005	f.(2005	PROPN
cana-4545	323	7	)	)	PUNCT
cana-4545	323	8	.	.	PUNCT
cana-4545	323	9	neutrosophic	neutrosophic	PROPN
cana-4545	323	10	set	set	NOUN
cana-4545	323	11	:	:	PUNCT
cana-4545	323	12	a	a	DET
cana-4545	323	13	generalization	generalization	NOUN
cana-4545	323	14	of	of	ADP
cana-4545	323	15	the	the	DET
cana-4545	323	16	intuitionistic	intuitionistic	ADJ
cana-4545	323	17	fuzzy	fuzzy	ADJ
cana-4545	323	18	sets	set	NOUN
cana-4545	323	19	.	.	PUNCT
cana-4545	324	1	international	international	ADJ
cana-4545	324	2	journal	journal	NOUN
cana-4545	324	3	of	of	ADP
cana-4545	324	4	pure	pure	ADJ
cana-4545	324	5	and	and	CCONJ
cana-4545	324	6	applied	applied	ADJ
cana-4545	324	7	mathematics	mathematic	NOUN
cana-4545	324	8	,	,	PUNCT
cana-4545	324	9	24,287–297	24,287–297	PROPN
cana-4545	324	10	.	.	PUNCT
cana-4545	325	1	https://digitalrepository.unm.edu/nss_journal/vol35/iss1/23	https://digitalrepository.unm.edu/nss_journal/vol35/iss1/23	ADJ
cana-4545	325	2	https://doi.org/10.1016/j.ejor.2010.05.017	https://doi.org/10.1016/j.ejor.2010.05.017	X
cana-4545	325	3	https://doi.org/10.61356/j.nswa.2023.95	https://doi.org/10.61356/j.nswa.2023.95	X
cana-4545	325	4	https://doi.org/10.3390/sym10080314	https://doi.org/10.3390/sym10080314	NOUN