id	sid	tid	token	lemma	pos
ejpam-4699	1	1	european	european	PROPN
ejpam-4699	1	2	journal	journal	PROPN
ejpam-4699	1	3	of	of	ADP
ejpam-4699	1	4	pure	pure	ADJ
ejpam-4699	1	5	and	and	CCONJ
ejpam-4699	1	6	applied	apply	VERB
ejpam-4699	1	7	mathematics	mathematic	NOUN
ejpam-4699	1	8	vol	vol	NOUN
ejpam-4699	1	9	.	.	PUNCT
ejpam-4699	2	1	16	16	NUM
ejpam-4699	2	2	,	,	PUNCT
ejpam-4699	2	3	no	no	INTJ
ejpam-4699	2	4	.	.	NOUN
ejpam-4699	2	5	2	2	NUM
ejpam-4699	2	6	,	,	PUNCT
ejpam-4699	2	7	2023	2023	NUM
ejpam-4699	2	8	,	,	PUNCT
ejpam-4699	2	9	1084	1084	NUM
ejpam-4699	2	10	-	-	SYM
ejpam-4699	2	11	1093	1093	NUM
ejpam-4699	2	12	issn	issn	PROPN
ejpam-4699	2	13	1307	1307	NUM
ejpam-4699	2	14	-	-	SYM
ejpam-4699	2	15	5543	5543	NUM
ejpam-4699	2	16	–	–	PUNCT
ejpam-4699	2	17	ejpam.com	ejpam.com	X
ejpam-4699	2	18	published	publish	VERB
ejpam-4699	2	19	by	by	ADP
ejpam-4699	2	20	new	new	PROPN
ejpam-4699	2	21	york	york	PROPN
ejpam-4699	2	22	business	business	PROPN
ejpam-4699	2	23	global	global	ADJ
ejpam-4699	2	24	selection	selection	NOUN
ejpam-4699	2	25	of	of	ADP
ejpam-4699	2	26	quality	quality	NOUN
ejpam-4699	2	27	gemstones	gemstone	NOUN
ejpam-4699	2	28	based	base	VERB
ejpam-4699	2	29	on	on	ADP
ejpam-4699	2	30	fuzzy	fuzzy	ADJ
ejpam-4699	2	31	analytical	analytical	ADJ
ejpam-4699	2	32	hierarchy	hierarchy	NOUN
ejpam-4699	2	33	process	process	NOUN
ejpam-4699	2	34	ghanimmahmood	ghanimmahmood	PROPN
ejpam-4699	2	35	dhaher	dhaher	PROPN
ejpam-4699	2	36	1,∗	1,∗	PROPN
ejpam-4699	2	37	,	,	PUNCT
ejpam-4699	2	38	tariq	tariq	PROPN
ejpam-4699	2	39	hamad	hamad	PROPN
ejpam-4699	2	40	abdullah1	abdullah1	PROPN
ejpam-4699	2	41	,	,	PUNCT
ejpam-4699	2	42	ghanimm	ghanimm	NOUN
ejpam-4699	2	43	.	.	PUNCT
ejpam-4699	3	1	algwauish1	algwauish1	PROPN
ejpam-4699	3	2	1	1	NUM
ejpam-4699	3	3	department	department	NOUN
ejpam-4699	3	4	of	of	ADP
ejpam-4699	3	5	mathematics	mathematic	NOUN
ejpam-4699	3	6	,	,	PUNCT
ejpam-4699	3	7	college	college	NOUN
ejpam-4699	3	8	of	of	ADP
ejpam-4699	3	9	education	education	NOUN
ejpam-4699	3	10	for	for	ADP
ejpam-4699	3	11	pure	pure	ADJ
ejpam-4699	3	12	sciences	science	NOUN
ejpam-4699	3	13	,	,	PUNCT
ejpam-4699	3	14	university	university	NOUN
ejpam-4699	3	15	of	of	ADP
ejpam-4699	3	16	mosul	mosul	PROPN
ejpam-4699	3	17	,	,	PUNCT
ejpam-4699	3	18	mosul	mosul	PROPN
ejpam-4699	3	19	,	,	PUNCT
ejpam-4699	3	20	41001	41001	NUM
ejpam-4699	3	21	,	,	PUNCT
ejpam-4699	3	22	iraq	iraq	PROPN
ejpam-4699	3	23	abstract	abstract	NOUN
ejpam-4699	3	24	.	.	PUNCT
ejpam-4699	4	1	the	the	DET
ejpam-4699	4	2	suggestion	suggestion	NOUN
ejpam-4699	4	3	in	in	ADP
ejpam-4699	4	4	this	this	DET
ejpam-4699	4	5	paper	paper	NOUN
ejpam-4699	4	6	tackles	tackle	NOUN
ejpam-4699	4	7	the	the	DET
ejpam-4699	4	8	uncertainty	uncertainty	NOUN
ejpam-4699	4	9	of	of	ADP
ejpam-4699	4	10	choosing	choose	VERB
ejpam-4699	4	11	the	the	DET
ejpam-4699	4	12	best	good	ADJ
ejpam-4699	4	13	analysis	analysis	NOUN
ejpam-4699	4	14	and	and	CCONJ
ejpam-4699	4	15	selection	selection	NOUN
ejpam-4699	4	16	of	of	ADP
ejpam-4699	4	17	high	high	ADJ
ejpam-4699	4	18	-	-	PUNCT
ejpam-4699	4	19	quality	quality	NOUN
ejpam-4699	4	20	gemstones	gemstone	NOUN
ejpam-4699	4	21	based	base	VERB
ejpam-4699	4	22	on	on	ADP
ejpam-4699	4	23	multiple	multiple	ADJ
ejpam-4699	4	24	specific	specific	ADJ
ejpam-4699	4	25	criteria	criterion	NOUN
ejpam-4699	4	26	of	of	ADP
ejpam-4699	4	27	quantitative	quantitative	ADJ
ejpam-4699	4	28	and	and	CCONJ
ejpam-4699	4	29	qualitative	qualitative	ADJ
ejpam-4699	4	30	nature	nature	NOUN
ejpam-4699	4	31	.	.	PUNCT
ejpam-4699	5	1	in	in	ADP
ejpam-4699	5	2	this	this	DET
ejpam-4699	5	3	paper	paper	NOUN
ejpam-4699	5	4	,	,	PUNCT
ejpam-4699	5	5	we	we	PRON
ejpam-4699	5	6	use	use	VERB
ejpam-4699	5	7	the	the	DET
ejpam-4699	5	8	fuzzy	fuzzy	ADJ
ejpam-4699	5	9	analytic	analytic	ADJ
ejpam-4699	5	10	hierarchy	hierarchy	NOUN
ejpam-4699	5	11	process	process	NOUN
ejpam-4699	5	12	(	(	PUNCT
ejpam-4699	5	13	f	f	X
ejpam-4699	5	14	-	-	PUNCT
ejpam-4699	5	15	ahp	ahp	NOUN
ejpam-4699	5	16	)	)	PUNCT
ejpam-4699	5	17	in	in	ADP
ejpam-4699	5	18	order	order	NOUN
ejpam-4699	5	19	to	to	PART
ejpam-4699	5	20	make	make	VERB
ejpam-4699	5	21	the	the	DET
ejpam-4699	5	22	right	right	ADJ
ejpam-4699	5	23	decision	decision	NOUN
ejpam-4699	5	24	to	to	PART
ejpam-4699	5	25	know	know	VERB
ejpam-4699	5	26	the	the	DET
ejpam-4699	5	27	quality	quality	NOUN
ejpam-4699	5	28	of	of	ADP
ejpam-4699	5	29	the	the	DET
ejpam-4699	5	30	gemstone	gemstone	NOUN
ejpam-4699	5	31	.	.	PUNCT
ejpam-4699	6	1	this	this	DET
ejpam-4699	6	2	method	method	NOUN
ejpam-4699	6	3	is	be	AUX
ejpam-4699	6	4	based	base	VERB
ejpam-4699	6	5	on	on	ADP
ejpam-4699	6	6	an	an	DET
ejpam-4699	6	7	effective	effective	ADJ
ejpam-4699	6	8	algorithm	algorithm	NOUN
ejpam-4699	6	9	through	through	ADP
ejpam-4699	6	10	comparisons	comparison	NOUN
ejpam-4699	6	11	between	between	ADP
ejpam-4699	6	12	the	the	DET
ejpam-4699	6	13	characteristics	characteristic	NOUN
ejpam-4699	6	14	of	of	ADP
ejpam-4699	6	15	the	the	DET
ejpam-4699	6	16	stones	stone	NOUN
ejpam-4699	6	17	and	and	CCONJ
ejpam-4699	6	18	their	their	PRON
ejpam-4699	6	19	weight	weight	NOUN
ejpam-4699	6	20	.	.	PUNCT
ejpam-4699	7	1	f	f	X
ejpam-4699	7	2	-	-	PUNCT
ejpam-4699	7	3	ahp	ahp	PROPN
ejpam-4699	7	4	applies	apply	VERB
ejpam-4699	7	5	in	in	ADP
ejpam-4699	7	6	this	this	DET
ejpam-4699	7	7	work	work	NOUN
ejpam-4699	7	8	to	to	PART
ejpam-4699	7	9	select	select	VERB
ejpam-4699	7	10	one	one	NUM
ejpam-4699	7	11	criterion	criterion	NOUN
ejpam-4699	7	12	from	from	ADP
ejpam-4699	7	13	five	five	NUM
ejpam-4699	7	14	criteria	criterion	NOUN
ejpam-4699	7	15	(	(	PUNCT
ejpam-4699	7	16	specific	specific	ADJ
ejpam-4699	7	17	gravity	gravity	NOUN
ejpam-4699	7	18	,	,	PUNCT
ejpam-4699	7	19	color	color	NOUN
ejpam-4699	7	20	,	,	PUNCT
ejpam-4699	7	21	clarity	clarity	NOUN
ejpam-4699	7	22	,	,	PUNCT
ejpam-4699	7	23	cleavage	cleavage	NOUN
ejpam-4699	7	24	,	,	PUNCT
ejpam-4699	7	25	and	and	CCONJ
ejpam-4699	7	26	hardness	hardness	NOUN
ejpam-4699	7	27	)	)	PUNCT
ejpam-4699	7	28	.	.	PUNCT
ejpam-4699	8	1	from	from	ADP
ejpam-4699	8	2	the	the	DET
ejpam-4699	8	3	outcome	outcome	NOUN
ejpam-4699	8	4	,	,	PUNCT
ejpam-4699	8	5	we	we	PRON
ejpam-4699	8	6	note	note	VERB
ejpam-4699	8	7	the	the	DET
ejpam-4699	8	8	hat	hat	NOUN
ejpam-4699	8	9	standard	standard	NOUN
ejpam-4699	8	10	of	of	ADP
ejpam-4699	8	11	gem	gem	NOUN
ejpam-4699	8	12	size	size	NOUN
ejpam-4699	8	13	is	be	AUX
ejpam-4699	8	14	not	not	PART
ejpam-4699	8	15	always	always	ADV
ejpam-4699	8	16	the	the	DET
ejpam-4699	8	17	best	good	ADJ
ejpam-4699	8	18	standard	standard	NOUN
ejpam-4699	8	19	as	as	SCONJ
ejpam-4699	8	20	seen	see	VERB
ejpam-4699	8	21	by	by	ADP
ejpam-4699	8	22	some	some	DET
ejpam-4699	8	23	researchers	researcher	NOUN
ejpam-4699	8	24	,	,	PUNCT
ejpam-4699	8	25	and	and	CCONJ
ejpam-4699	8	26	we	we	PRON
ejpam-4699	8	27	found	find	VERB
ejpam-4699	8	28	that	that	SCONJ
ejpam-4699	8	29	small	small	ADJ
ejpam-4699	8	30	-	-	PUNCT
ejpam-4699	8	31	sizzled	sizzle	VERB
ejpam-4699	8	32	stones	stone	NOUN
ejpam-4699	8	33	are	be	AUX
ejpam-4699	8	34	sometimes	sometimes	ADV
ejpam-4699	8	35	better	well	ADV
ejpam-4699	8	36	effective	effective	ADJ
ejpam-4699	8	37	and	and	CCONJ
ejpam-4699	8	38	more	more	ADV
ejpam-4699	8	39	flexible	flexible	ADJ
ejpam-4699	8	40	than	than	ADP
ejpam-4699	8	41	others	other	NOUN
ejpam-4699	8	42	.	.	PUNCT
ejpam-4699	9	1	through	through	ADP
ejpam-4699	9	2	this	this	DET
ejpam-4699	9	3	study	study	NOUN
ejpam-4699	9	4	,	,	PUNCT
ejpam-4699	9	5	we	we	PRON
ejpam-4699	9	6	note	note	VERB
ejpam-4699	9	7	that	that	SCONJ
ejpam-4699	9	8	the	the	DET
ejpam-4699	9	9	method	method	NOUN
ejpam-4699	9	10	helps	helps	AUX
ejpam-4699	9	11	reduce	reduce	VERB
ejpam-4699	9	12	bias	bias	NOUN
ejpam-4699	9	13	in	in	ADP
ejpam-4699	9	14	decision	decision	NOUN
ejpam-4699	9	15	-	-	PUNCT
ejpam-4699	9	16	making	making	NOUN
ejpam-4699	9	17	,	,	PUNCT
ejpam-4699	9	18	and	and	CCONJ
ejpam-4699	9	19	method	method	VERB
ejpam-4699	9	20	the	the	DET
ejpam-4699	9	21	comparisons	comparison	NOUN
ejpam-4699	9	22	are	be	AUX
ejpam-4699	9	23	converted	convert	VERB
ejpam-4699	9	24	into	into	ADP
ejpam-4699	9	25	numerical	numerical	ADJ
ejpam-4699	9	26	values	value	NOUN
ejpam-4699	9	27	that	that	PRON
ejpam-4699	9	28	are	be	AUX
ejpam-4699	9	29	processed	process	VERB
ejpam-4699	9	30	and	and	CCONJ
ejpam-4699	9	31	compared	compare	VERB
ejpam-4699	9	32	within	within	ADP
ejpam-4699	9	33	with	with	ADP
ejpam-4699	9	34	hierarchy	hierarchy	NOUN
ejpam-4699	9	35	that	that	PRON
ejpam-4699	9	36	is	be	AUX
ejpam-4699	9	37	related	relate	VERB
ejpam-4699	9	38	to	to	ADP
ejpam-4699	9	39	the	the	DET
ejpam-4699	9	40	fuzzy	fuzzy	ADJ
ejpam-4699	9	41	logic	logic	NOUN
ejpam-4699	9	42	with	with	ADP
ejpam-4699	9	43	the	the	DET
ejpam-4699	9	44	property	property	NOUN
ejpam-4699	9	45	of	of	ADP
ejpam-4699	9	46	uncertainty	uncertainty	NOUN
ejpam-4699	9	47	.	.	PUNCT
ejpam-4699	10	1	all	all	DET
ejpam-4699	10	2	computations	computation	NOUN
ejpam-4699	10	3	are	be	AUX
ejpam-4699	10	4	applied	apply	VERB
ejpam-4699	10	5	by	by	ADP
ejpam-4699	10	6	matlab	matlab	PROPN
ejpam-4699	10	7	language	language	NOUN
ejpam-4699	10	8	.	.	PUNCT
ejpam-4699	11	1	2020	2020	NUM
ejpam-4699	11	2	mathematics	mathematic	NOUN
ejpam-4699	11	3	subject	subject	NOUN
ejpam-4699	11	4	classifications	classification	NOUN
ejpam-4699	11	5	:	:	PUNCT
ejpam-4699	11	6	90b50	90b50	NUM
ejpam-4699	11	7	,	,	PUNCT
ejpam-4699	11	8	62a86	62a86	NUM
ejpam-4699	11	9	key	key	ADJ
ejpam-4699	11	10	words	word	NOUN
ejpam-4699	11	11	and	and	CCONJ
ejpam-4699	11	12	phrases	phrase	NOUN
ejpam-4699	11	13	:	:	PUNCT
ejpam-4699	11	14	multi	multi	ADJ
ejpam-4699	11	15	-	-	NOUN
ejpam-4699	11	16	criteria	criterion	NOUN
ejpam-4699	11	17	,	,	PUNCT
ejpam-4699	11	18	fuzzy	fuzzy	ADJ
ejpam-4699	11	19	analytical	analytical	ADJ
ejpam-4699	11	20	hierarchy	hierarchy	NOUN
ejpam-4699	11	21	process	process	NOUN
ejpam-4699	11	22	,	,	PUNCT
ejpam-4699	11	23	decision	decision	NOUN
ejpam-4699	11	24	-	-	PUNCT
ejpam-4699	11	25	making	making	NOUN
ejpam-4699	11	26	,	,	PUNCT
ejpam-4699	11	27	gemstones	gemstone	NOUN
ejpam-4699	11	28	.	.	PUNCT
ejpam-4699	12	1	1	1	X
ejpam-4699	12	2	.	.	X
ejpam-4699	12	3	introduction	introduction	NOUN
ejpam-4699	12	4	it	it	PRON
ejpam-4699	12	5	is	be	AUX
ejpam-4699	12	6	difficult	difficult	ADJ
ejpam-4699	12	7	for	for	SCONJ
ejpam-4699	12	8	decision	decision	NOUN
ejpam-4699	12	9	-	-	PUNCT
ejpam-4699	12	10	makers	maker	NOUN
ejpam-4699	12	11	to	to	PART
ejpam-4699	12	12	know	know	VERB
ejpam-4699	12	13	the	the	DET
ejpam-4699	12	14	best	good	ADJ
ejpam-4699	12	15	decision	decision	NOUN
ejpam-4699	12	16	-	-	PUNCT
ejpam-4699	12	17	making	making	NOUN
ejpam-4699	12	18	using	use	VERB
ejpam-4699	12	19	fuzzy	fuzzy	ADJ
ejpam-4699	12	20	numbers	number	NOUN
ejpam-4699	12	21	,	,	PUNCT
ejpam-4699	12	22	and	and	CCONJ
ejpam-4699	12	23	the	the	DET
ejpam-4699	12	24	reason	reason	NOUN
ejpam-4699	12	25	for	for	ADP
ejpam-4699	12	26	this	this	PRON
ejpam-4699	12	27	is	be	AUX
ejpam-4699	12	28	due	due	ADJ
ejpam-4699	12	29	to	to	ADP
ejpam-4699	12	30	the	the	DET
ejpam-4699	12	31	presence	presence	NOUN
ejpam-4699	12	32	of	of	ADP
ejpam-4699	12	33	uncertainty	uncertainty	NOUN
ejpam-4699	12	34	in	in	ADP
ejpam-4699	12	35	the	the	DET
ejpam-4699	12	36	formation	formation	NOUN
ejpam-4699	12	37	,	,	PUNCT
ejpam-4699	12	38	so	so	ADV
ejpam-4699	12	39	many	many	ADJ
ejpam-4699	12	40	decision	decision	NOUN
ejpam-4699	12	41	-	-	PUNCT
ejpam-4699	12	42	makers	maker	NOUN
ejpam-4699	12	43	resort	resort	NOUN
ejpam-4699	12	44	to	to	ADP
ejpam-4699	12	45	using	use	VERB
ejpam-4699	12	46	fuzzy	fuzzy	ADJ
ejpam-4699	12	47	terms	term	NOUN
ejpam-4699	12	48	or	or	CCONJ
ejpam-4699	12	49	linguistic	linguistic	ADJ
ejpam-4699	12	50	terms	term	NOUN
ejpam-4699	12	51	to	to	PART
ejpam-4699	12	52	express	express	VERB
ejpam-4699	12	53	the	the	DET
ejpam-4699	12	54	best	good	ADJ
ejpam-4699	12	55	in	in	ADP
ejpam-4699	12	56	decision	decision	NOUN
ejpam-4699	12	57	-	-	PUNCT
ejpam-4699	12	58	making	making	NOUN
ejpam-4699	12	59	which	which	PRON
ejpam-4699	12	60	is	be	AUX
ejpam-4699	12	61	always	always	ADV
ejpam-4699	12	62	used	use	VERB
ejpam-4699	12	63	in	in	ADP
ejpam-4699	12	64	addressing	address	VERB
ejpam-4699	12	65	the	the	DET
ejpam-4699	12	66	information	information	NOUN
ejpam-4699	12	67	[	[	X
ejpam-4699	12	68	24	24	NUM
ejpam-4699	12	69	]	]	PUNCT
ejpam-4699	12	70	.	.	PUNCT
ejpam-4699	13	1	the	the	DET
ejpam-4699	13	2	fuzzy	fuzzy	ADJ
ejpam-4699	13	3	triple	triple	ADJ
ejpam-4699	13	4	number	number	NOUN
ejpam-4699	13	5	has	have	AUX
ejpam-4699	13	6	been	be	AUX
ejpam-4699	13	7	applied	apply	VERB
ejpam-4699	13	8	in	in	ADP
ejpam-4699	13	9	many	many	ADJ
ejpam-4699	13	10	fields	field	NOUN
ejpam-4699	13	11	such	such	ADJ
ejpam-4699	13	12	as	as	ADP
ejpam-4699	13	13	forecasting	forecast	VERB
ejpam-4699	13	14	[	[	X
ejpam-4699	13	15	8	8	NUM
ejpam-4699	13	16	,	,	PUNCT
ejpam-4699	13	17	14	14	NUM
ejpam-4699	13	18	]	]	PUNCT
ejpam-4699	13	19	representing	represent	VERB
ejpam-4699	13	20	and	and	CCONJ
ejpam-4699	13	21	evaluating	evaluate	VERB
ejpam-4699	13	22	risks	risk	NOUN
ejpam-4699	13	23	,	,	PUNCT
ejpam-4699	13	24	and	and	CCONJ
ejpam-4699	13	25	representing	represent	VERB
ejpam-4699	13	26	space	space	NOUN
ejpam-4699	13	27	[	[	X
ejpam-4699	13	28	7	7	NUM
ejpam-4699	13	29	,	,	PUNCT
ejpam-4699	13	30	23	23	NUM
ejpam-4699	13	31	]	]	PUNCT
ejpam-4699	13	32	.	.	PUNCT
ejpam-4699	14	1	many	many	ADJ
ejpam-4699	14	2	researchers	researcher	NOUN
ejpam-4699	14	3	use	use	VERB
ejpam-4699	14	4	the	the	DET
ejpam-4699	14	5	similarity	similarity	NOUN
ejpam-4699	14	6	between	between	ADP
ejpam-4699	14	7	triangles	triangle	NOUN
ejpam-4699	14	8	for	for	ADP
ejpam-4699	14	9	fuzzy	fuzzy	ADJ
ejpam-4699	14	10	numbers	number	NOUN
ejpam-4699	14	11	[	[	X
ejpam-4699	14	12	10–12	10–12	NUM
ejpam-4699	14	13	,	,	PUNCT
ejpam-4699	14	14	19	19	NUM
ejpam-4699	14	15	,	,	PUNCT
ejpam-4699	14	16	20	20	NUM
ejpam-4699	14	17	]	]	PUNCT
ejpam-4699	14	18	and	and	CCONJ
ejpam-4699	14	19	other	other	ADJ
ejpam-4699	14	20	studies	study	NOUN
ejpam-4699	14	21	on	on	ADP
ejpam-4699	14	22	midpoints	midpoint	NOUN
ejpam-4699	14	23	to	to	ADP
ejpam-4699	14	24	∗corresponding	∗corresponde	VERB
ejpam-4699	14	25	author	author	NOUN
ejpam-4699	14	26	.	.	PUNCT
ejpam-4699	15	1	doi	doi	NOUN
ejpam-4699	15	2	:	:	PUNCT
ejpam-4699	15	3	https://doi.org/10.29020/nybg.ejpam.v16i2.4699	https://doi.org/10.29020/nybg.ejpam.v16i2.4699	ADJ
ejpam-4699	15	4	email	email	NOUN
ejpam-4699	15	5	addresses	address	NOUN
ejpam-4699	15	6	:	:	PUNCT
ejpam-4699	15	7	ghanim-hassod@uomosul.edu.iq	ghanim-hassod@uomosul.edu.iq	PROPN
ejpam-4699	15	8	(	(	PUNCT
ejpam-4699	15	9	ghanim	ghanim	PROPN
ejpam-4699	15	10	mahmood	mahmood	PROPN
ejpam-4699	15	11	dhaher	dhaher	PROPN
ejpam-4699	15	12	)	)	PUNCT
ejpam-4699	15	13	,	,	PUNCT
ejpam-4699	15	14	t.a.abdullah@uomosul.edu.iq	t.a.abdullah@uomosul.edu.iq	ADP
ejpam-4699	15	15	(	(	PUNCT
ejpam-4699	15	16	tariq	tariq	PROPN
ejpam-4699	15	17	hamad	hamad	PROPN
ejpam-4699	15	18	abdullah	abdullah	PROPN
ejpam-4699	15	19	)	)	PUNCT
ejpam-4699	15	20	,	,	PUNCT
ejpam-4699	15	21	g.m.abdullah@uomosul.edu.iq	g.m.abdullah@uomosul.edu.iq	NOUN
ejpam-4699	15	22	(	(	PUNCT
ejpam-4699	15	23	ghanim	ghanim	NOUN
ejpam-4699	15	24	m.	m.	NOUN
ejpam-4699	15	25	algwauish	algwauish	PROPN
ejpam-4699	15	26	)	)	PUNCT
ejpam-4699	15	27	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4699	15	28	1084	1084	NUM
ejpam-4699	16	1	©	©	ADP
ejpam-4699	16	2	2023	2023	NUM
ejpam-4699	16	3	ejpam	ejpam	NOUN
ejpam-4699	16	4	all	all	DET
ejpam-4699	16	5	rights	right	NOUN
ejpam-4699	16	6	reserved	reserve	VERB
ejpam-4699	16	7	.	.	PUNCT
ejpam-4699	17	1	g.	g.	PROPN
ejpam-4699	17	2	m.	m.	PROPN
ejpam-4699	17	3	dhaher	dhaher	PROPN
ejpam-4699	17	4	,	,	PUNCT
ejpam-4699	17	5	t	t	PROPN
ejpam-4699	17	6	:	:	PUNCT
ejpam-4699	17	7	h.	h.	PROPN
ejpam-4699	17	8	abdullah	abdullah	PROPN
ejpam-4699	17	9	,	,	PUNCT
ejpam-4699	17	10	g.	g.	PROPN
ejpam-4699	17	11	m.	m.	PROPN
ejpam-4699	17	12	algwauish	algwauish	PROPN
ejpam-4699	17	13	/	/	SYM
ejpam-4699	17	14	eur	eur	PROPN
ejpam-4699	17	15	.	.	PUNCT
ejpam-4699	18	1	j.	j.	PROPN
ejpam-4699	18	2	pure	pure	PROPN
ejpam-4699	18	3	appl	appl	PROPN
ejpam-4699	18	4	.	.	PROPN
ejpam-4699	18	5	math	math	PROPN
ejpam-4699	18	6	,	,	PUNCT
ejpam-4699	18	7	16	16	NUM
ejpam-4699	18	8	(	(	PUNCT
ejpam-4699	18	9	2	2	NUM
ejpam-4699	18	10	)	)	PUNCT
ejpam-4699	18	11	(	(	PUNCT
ejpam-4699	18	12	2023	2023	NUM
ejpam-4699	18	13	)	)	PUNCT
ejpam-4699	18	14	,	,	PUNCT
ejpam-4699	18	15	1084	1084	NUM
ejpam-4699	18	16	-	-	SYM
ejpam-4699	18	17	1093	1093	NUM
ejpam-4699	18	18	1085	1085	NUM
ejpam-4699	18	19	compare	compare	VERB
ejpam-4699	18	20	the	the	DET
ejpam-4699	18	21	effect	effect	NOUN
ejpam-4699	18	22	of	of	ADP
ejpam-4699	18	23	the	the	DET
ejpam-4699	18	24	methods	method	NOUN
ejpam-4699	18	25	used	use	VERB
ejpam-4699	18	26	or	or	CCONJ
ejpam-4699	18	27	the	the	DET
ejpam-4699	18	28	proposed	propose	VERB
ejpam-4699	18	29	methods	method	NOUN
ejpam-4699	18	30	.	.	PUNCT
ejpam-4699	19	1	some	some	DET
ejpam-4699	19	2	studies	study	NOUN
ejpam-4699	19	3	deal	deal	VERB
ejpam-4699	19	4	with	with	ADP
ejpam-4699	19	5	decision	decision	NOUN
ejpam-4699	19	6	-	-	PUNCT
ejpam-4699	19	7	making	make	VERB
ejpam-4699	19	8	problems	problem	NOUN
ejpam-4699	19	9	in	in	ADP
ejpam-4699	19	10	choosing	choose	VERB
ejpam-4699	19	11	high	high	ADJ
ejpam-4699	19	12	-	-	PUNCT
ejpam-4699	19	13	quality	quality	NOUN
ejpam-4699	19	14	gemstones	gemstone	NOUN
ejpam-4699	19	15	according	accord	VERB
ejpam-4699	19	16	to	to	ADP
ejpam-4699	19	17	pre	pre	ADJ
ejpam-4699	19	18	-	-	ADJ
ejpam-4699	19	19	defined	define	VERB
ejpam-4699	19	20	criteria	criterion	NOUN
ejpam-4699	19	21	.	.	PUNCT
ejpam-4699	20	1	numerous	numerous	ADJ
ejpam-4699	20	2	studies	study	NOUN
ejpam-4699	20	3	conducted	conduct	VERB
ejpam-4699	20	4	using	use	VERB
ejpam-4699	20	5	the	the	DET
ejpam-4699	20	6	hierarchical	hierarchical	ADJ
ejpam-4699	20	7	process	process	NOUN
ejpam-4699	20	8	method	method	NOUN
ejpam-4699	20	9	and	and	CCONJ
ejpam-4699	20	10	liking	like	VERB
ejpam-4699	20	11	it	it	PRON
ejpam-4699	20	12	with	with	ADP
ejpam-4699	20	13	fuzzy	fuzzy	ADJ
ejpam-4699	20	14	logic	logic	NOUN
ejpam-4699	20	15	[	[	X
ejpam-4699	20	16	4	4	NUM
ejpam-4699	20	17	,	,	PUNCT
ejpam-4699	20	18	14	14	NUM
ejpam-4699	20	19	,	,	PUNCT
ejpam-4699	20	20	15	15	NUM
ejpam-4699	20	21	]	]	PUNCT
ejpam-4699	20	22	.	.	PUNCT
ejpam-4699	21	1	several	several	ADJ
ejpam-4699	21	2	related	related	ADJ
ejpam-4699	21	3	studies	study	NOUN
ejpam-4699	21	4	were	be	AUX
ejpam-4699	21	5	recently	recently	ADV
ejpam-4699	21	6	conducted	conduct	VERB
ejpam-4699	21	7	by	by	ADP
ejpam-4699	21	8	researchers	researcher	NOUN
ejpam-4699	21	9	including	include	VERB
ejpam-4699	21	10	applications	application	NOUN
ejpam-4699	21	11	in	in	ADP
ejpam-4699	21	12	numerical	numerical	ADJ
ejpam-4699	21	13	analysis	analysis	NOUN
ejpam-4699	21	14	,	,	PUNCT
ejpam-4699	21	15	fuzzy	fuzzy	ADJ
ejpam-4699	21	16	cones	cone	NOUN
ejpam-4699	21	17	,	,	PUNCT
ejpam-4699	21	18	oscillation	oscillation	NOUN
ejpam-4699	21	19	theory	theory	NOUN
ejpam-4699	21	20	,	,	PUNCT
ejpam-4699	21	21	thermal	thermal	ADJ
ejpam-4699	21	22	science	science	NOUN
ejpam-4699	21	23	and	and	CCONJ
ejpam-4699	21	24	image	image	NOUN
ejpam-4699	21	25	processing	processing	NOUN
ejpam-4699	21	26	can	can	AUX
ejpam-4699	21	27	be	be	AUX
ejpam-4699	21	28	found	find	VERB
ejpam-4699	21	29	here	here	ADV
ejpam-4699	21	30	[	[	X
ejpam-4699	21	31	1	1	NUM
ejpam-4699	21	32	,	,	PUNCT
ejpam-4699	21	33	3	3	NUM
ejpam-4699	21	34	,	,	PUNCT
ejpam-4699	21	35	5	5	NUM
ejpam-4699	21	36	,	,	PUNCT
ejpam-4699	21	37	6	6	NUM
ejpam-4699	21	38	,	,	PUNCT
ejpam-4699	21	39	9	9	NUM
ejpam-4699	21	40	,	,	PUNCT
ejpam-4699	21	41	13	13	NUM
ejpam-4699	21	42	,	,	PUNCT
ejpam-4699	21	43	17	17	NUM
ejpam-4699	21	44	,	,	PUNCT
ejpam-4699	21	45	21	21	NUM
ejpam-4699	21	46	,	,	PUNCT
ejpam-4699	21	47	25	25	NUM
ejpam-4699	21	48	]	]	PUNCT
ejpam-4699	21	49	.	.	PUNCT
ejpam-4699	22	1	scientist	scientist	PROPN
ejpam-4699	22	2	l.	l.	PROPN
ejpam-4699	22	3	a.	a.	PROPN
ejpam-4699	22	4	zadeh	zadeh	PROPN
ejpam-4699	22	5	was	be	AUX
ejpam-4699	22	6	considered	consider	VERB
ejpam-4699	22	7	the	the	DET
ejpam-4699	22	8	first	first	ADJ
ejpam-4699	22	9	to	to	PART
ejpam-4699	22	10	propose	propose	VERB
ejpam-4699	22	11	the	the	DET
ejpam-4699	22	12	idea	idea	NOUN
ejpam-4699	22	13	of	of	ADP
ejpam-4699	22	14	a	a	DET
ejpam-4699	22	15	fuzzy	fuzzy	ADJ
ejpam-4699	22	16	number	number	NOUN
ejpam-4699	22	17	as	as	ADP
ejpam-4699	22	18	a	a	DET
ejpam-4699	22	19	convex	convex	NOUN
ejpam-4699	22	20	group	group	NOUN
ejpam-4699	22	21	and	and	CCONJ
ejpam-4699	22	22	an	an	DET
ejpam-4699	22	23	ordinary	ordinary	ADJ
ejpam-4699	22	24	fuzzy	fuzzy	ADJ
ejpam-4699	22	25	group	group	NOUN
ejpam-4699	22	26	[	[	X
ejpam-4699	22	27	2	2	NUM
ejpam-4699	22	28	,	,	PUNCT
ejpam-4699	22	29	8	8	NUM
ejpam-4699	22	30	,	,	PUNCT
ejpam-4699	22	31	22	22	NUM
ejpam-4699	22	32	]	]	PUNCT
ejpam-4699	22	33	.	.	PUNCT
ejpam-4699	23	1	as	as	ADP
ejpam-4699	23	2	part	part	NOUN
ejpam-4699	23	3	of	of	ADP
ejpam-4699	23	4	fuzzy	fuzzy	ADJ
ejpam-4699	23	5	set	set	NOUN
ejpam-4699	23	6	theory	theory	NOUN
ejpam-4699	23	7	,	,	PUNCT
ejpam-4699	23	8	fuzzy	fuzzy	ADJ
ejpam-4699	23	9	numbers	number	NOUN
ejpam-4699	23	10	are	be	AUX
ejpam-4699	23	11	introduced	introduce	VERB
ejpam-4699	23	12	which	which	PRON
ejpam-4699	23	13	take	take	VERB
ejpam-4699	23	14	the	the	DET
ejpam-4699	23	15	form	form	NOUN
ejpam-4699	23	16	of	of	ADP
ejpam-4699	23	17	a	a	DET
ejpam-4699	23	18	set	set	NOUN
ejpam-4699	23	19	of	of	ADP
ejpam-4699	23	20	real	real	ADJ
ejpam-4699	23	21	numbers	number	NOUN
ejpam-4699	23	22	with	with	ADP
ejpam-4699	23	23	a	a	DET
ejpam-4699	23	24	correlated	correlate	VERB
ejpam-4699	23	25	organic	organic	ADJ
ejpam-4699	23	26	function	function	NOUN
ejpam-4699	23	27	.	.	PUNCT
ejpam-4699	24	1	these	these	DET
ejpam-4699	24	2	numbers	number	NOUN
ejpam-4699	24	3	can	can	AUX
ejpam-4699	24	4	be	be	AUX
ejpam-4699	24	5	used	use	VERB
ejpam-4699	24	6	to	to	PART
ejpam-4699	24	7	accurately	accurately	ADV
ejpam-4699	24	8	represent	represent	VERB
ejpam-4699	24	9	linguistic	linguistic	ADJ
ejpam-4699	24	10	scales	scale	NOUN
ejpam-4699	24	11	that	that	PRON
ejpam-4699	24	12	include	include	VERB
ejpam-4699	24	13	ambiguities	ambiguity	NOUN
ejpam-4699	24	14	and	and	CCONJ
ejpam-4699	24	15	uncertainties	uncertainty	NOUN
ejpam-4699	24	16	in	in	ADP
ejpam-4699	24	17	the	the	DET
ejpam-4699	24	18	human	human	ADJ
ejpam-4699	24	19	mind	mind	NOUN
ejpam-4699	24	20	.	.	PUNCT
ejpam-4699	25	1	fuzzy	fuzzy	ADJ
ejpam-4699	25	2	ahp	ahp	PROPN
ejpam-4699	25	3	is	be	AUX
ejpam-4699	25	4	simply	simply	ADV
ejpam-4699	25	5	an	an	DET
ejpam-4699	25	6	extension	extension	NOUN
ejpam-4699	25	7	of	of	ADP
ejpam-4699	25	8	the	the	DET
ejpam-4699	25	9	original	original	ADJ
ejpam-4699	25	10	ahp	ahp	NOUN
ejpam-4699	25	11	with	with	ADP
ejpam-4699	25	12	human	human	ADJ
ejpam-4699	25	13	preferences	preference	NOUN
ejpam-4699	25	14	recorded	record	VERB
ejpam-4699	25	15	as	as	ADP
ejpam-4699	25	16	fuzzy	fuzzy	ADJ
ejpam-4699	25	17	numbers	number	NOUN
ejpam-4699	25	18	,	,	PUNCT
ejpam-4699	25	19	so	so	ADV
ejpam-4699	25	20	the	the	DET
ejpam-4699	25	21	resulting	result	VERB
ejpam-4699	25	22	comparison	comparison	NOUN
ejpam-4699	25	23	matrix	matrix	NOUN
ejpam-4699	25	24	also	also	ADV
ejpam-4699	25	25	consists	consist	VERB
ejpam-4699	25	26	of	of	ADP
ejpam-4699	25	27	fuzzy	fuzzy	ADJ
ejpam-4699	25	28	numbers	number	NOUN
ejpam-4699	25	29	.	.	PUNCT
ejpam-4699	26	1	2	2	X
ejpam-4699	26	2	.	.	X
ejpam-4699	26	3	materials	material	NOUN
ejpam-4699	26	4	and	and	CCONJ
ejpam-4699	26	5	methods	method	NOUN
ejpam-4699	26	6	when	when	SCONJ
ejpam-4699	26	7	using	use	VERB
ejpam-4699	26	8	the	the	DET
ejpam-4699	26	9	problems	problem	NOUN
ejpam-4699	26	10	solving	solve	VERB
ejpam-4699	26	11	method	method	NOUN
ejpam-4699	26	12	,	,	PUNCT
ejpam-4699	26	13	the	the	DET
ejpam-4699	26	14	data	data	NOUN
ejpam-4699	26	15	is	be	AUX
ejpam-4699	26	16	collected	collect	VERB
ejpam-4699	26	17	and	and	CCONJ
ejpam-4699	26	18	then	then	ADV
ejpam-4699	26	19	arranged	arrange	VERB
ejpam-4699	26	20	in	in	ADP
ejpam-4699	26	21	hierarchical	hierarchical	ADJ
ejpam-4699	26	22	form	form	NOUN
ejpam-4699	26	23	is	be	AUX
ejpam-4699	26	24	considered	consider	VERB
ejpam-4699	26	25	an	an	DET
ejpam-4699	26	26	initial	initial	ADJ
ejpam-4699	26	27	method	method	NOUN
ejpam-4699	26	28	for	for	ADP
ejpam-4699	26	29	making	make	VERB
ejpam-4699	26	30	the	the	DET
ejpam-4699	26	31	right	right	ADJ
ejpam-4699	26	32	decision	decision	NOUN
ejpam-4699	26	33	.	.	PUNCT
ejpam-4699	27	1	therefore	therefore	ADV
ejpam-4699	27	2	,	,	PUNCT
ejpam-4699	27	3	the	the	DET
ejpam-4699	27	4	method	method	NOUN
ejpam-4699	27	5	of	of	ADP
ejpam-4699	27	6	the	the	DET
ejpam-4699	27	7	analytical	analytical	ADJ
ejpam-4699	27	8	hierarchy	hierarchy	NOUN
ejpam-4699	27	9	process	process	NOUN
ejpam-4699	27	10	(	(	PUNCT
ejpam-4699	27	11	ahp	ahp	NOUN
ejpam-4699	27	12	)	)	PUNCT
ejpam-4699	27	13	developed	develop	VERB
ejpam-4699	27	14	to	to	PART
ejpam-4699	27	15	support	support	VERB
ejpam-4699	27	16	for	for	ADP
ejpam-4699	27	17	decision	decision	NOUN
ejpam-4699	27	18	is	be	AUX
ejpam-4699	27	19	called	call	VERB
ejpam-4699	27	20	the	the	DET
ejpam-4699	27	21	best	good	ADJ
ejpam-4699	27	22	model	model	NOUN
ejpam-4699	27	23	to	to	PART
ejpam-4699	27	24	get	get	VERB
ejpam-4699	27	25	the	the	DET
ejpam-4699	27	26	best	good	ADJ
ejpam-4699	27	27	comparison	comparison	NOUN
ejpam-4699	27	28	of	of	ADP
ejpam-4699	27	29	the	the	DET
ejpam-4699	27	30	associated	associated	ADJ
ejpam-4699	27	31	criteria	criterion	NOUN
ejpam-4699	27	32	[	[	X
ejpam-4699	27	33	8	8	NUM
ejpam-4699	27	34	,	,	PUNCT
ejpam-4699	27	35	18	18	NUM
ejpam-4699	27	36	]	]	PUNCT
ejpam-4699	27	37	.	.	PUNCT
ejpam-4699	28	1	there	there	PRON
ejpam-4699	28	2	are	be	VERB
ejpam-4699	28	3	several	several	ADJ
ejpam-4699	28	4	tools	tool	NOUN
ejpam-4699	28	5	and	and	CCONJ
ejpam-4699	28	6	criteria	criterion	NOUN
ejpam-4699	28	7	for	for	ADP
ejpam-4699	28	8	decision	decision	NOUN
ejpam-4699	28	9	-	-	PUNCT
ejpam-4699	28	10	making	making	NOUN
ejpam-4699	28	11	to	to	PART
ejpam-4699	28	12	achieve	achieve	VERB
ejpam-4699	28	13	maximum	maximum	ADJ
ejpam-4699	28	14	goals	goal	NOUN
ejpam-4699	28	15	such	such	ADJ
ejpam-4699	28	16	as	as	ADP
ejpam-4699	28	17	linear	linear	ADJ
ejpam-4699	28	18	programming	programming	NOUN
ejpam-4699	28	19	of	of	ADP
ejpam-4699	28	20	goals	goal	NOUN
ejpam-4699	28	21	and	and	CCONJ
ejpam-4699	28	22	binary	binary	NOUN
ejpam-4699	28	23	ordering	ordering	NOUN
ejpam-4699	28	24	[	[	X
ejpam-4699	28	25	24	24	NUM
ejpam-4699	28	26	]	]	PUNCT
ejpam-4699	28	27	.	.	PUNCT
ejpam-4699	29	1	the	the	DET
ejpam-4699	29	2	multi	multi	ADJ
ejpam-4699	29	3	-	-	ADJ
ejpam-4699	29	4	criteria	criteria	ADJ
ejpam-4699	29	5	hierarchical	hierarchical	ADJ
ejpam-4699	29	6	decision	decision	NOUN
ejpam-4699	29	7	analysis	analysis	NOUN
ejpam-4699	29	8	method	method	NOUN
ejpam-4699	29	9	is	be	AUX
ejpam-4699	29	10	considered	consider	VERB
ejpam-4699	29	11	one	one	NUM
ejpam-4699	29	12	of	of	ADP
ejpam-4699	29	13	the	the	DET
ejpam-4699	29	14	most	most	ADV
ejpam-4699	29	15	important	important	ADJ
ejpam-4699	29	16	methods	method	NOUN
ejpam-4699	29	17	used	use	VERB
ejpam-4699	29	18	in	in	ADP
ejpam-4699	29	19	decision	decision	NOUN
ejpam-4699	29	20	analysis	analysis	NOUN
ejpam-4699	29	21	in	in	ADP
ejpam-4699	29	22	the	the	DET
ejpam-4699	29	23	case	case	NOUN
ejpam-4699	29	24	of	of	ADP
ejpam-4699	29	25	certainty	certainty	NOUN
ejpam-4699	29	26	for	for	ADP
ejpam-4699	29	27	decision	decision	NOUN
ejpam-4699	29	28	problems	problem	NOUN
ejpam-4699	29	29	that	that	PRON
ejpam-4699	29	30	include	include	VERB
ejpam-4699	29	31	multiple	multiple	ADJ
ejpam-4699	29	32	criteria	criterion	NOUN
ejpam-4699	29	33	and	and	CCONJ
ejpam-4699	29	34	qualitative	qualitative	ADJ
ejpam-4699	29	35	factors	factor	NOUN
ejpam-4699	29	36	that	that	PRON
ejpam-4699	29	37	can	can	AUX
ejpam-4699	29	38	not	not	PART
ejpam-4699	29	39	be	be	AUX
ejpam-4699	29	40	included	include	VERB
ejpam-4699	29	41	in	in	ADP
ejpam-4699	29	42	additional	additional	ADJ
ejpam-4699	29	43	discussion	discussion	NOUN
ejpam-4699	29	44	analysis	analysis	NOUN
ejpam-4699	29	45	data	datum	NOUN
ejpam-4699	29	46	validity	validity	NOUN
ejpam-4699	29	47	is	be	AUX
ejpam-4699	29	48	the	the	DET
ejpam-4699	29	49	main	main	ADJ
ejpam-4699	29	50	entrance	entrance	NOUN
ejpam-4699	29	51	to	to	ADP
ejpam-4699	29	52	the	the	DET
ejpam-4699	29	53	ahp	ahp	NOUN
ejpam-4699	29	54	method	method	NOUN
ejpam-4699	29	55	.	.	PUNCT
ejpam-4699	30	1	however	however	ADV
ejpam-4699	30	2	,	,	PUNCT
ejpam-4699	30	3	there	there	PRON
ejpam-4699	30	4	is	be	VERB
ejpam-4699	30	5	a	a	DET
ejpam-4699	30	6	property	property	NOUN
ejpam-4699	30	7	of	of	ADP
ejpam-4699	30	8	uncertainty	uncertainty	NOUN
ejpam-4699	30	9	.	.	PUNCT
ejpam-4699	31	1	for	for	ADP
ejpam-4699	31	2	good	good	ADJ
ejpam-4699	31	3	decision	decision	NOUN
ejpam-4699	31	4	making	make	VERB
ejpam-4699	31	5	sometimes	sometimes	ADV
ejpam-4699	31	6	a	a	DET
ejpam-4699	31	7	single	single	ADJ
ejpam-4699	31	8	criterion	criterion	NOUN
ejpam-4699	31	9	is	be	AUX
ejpam-4699	31	10	not	not	PART
ejpam-4699	31	11	an	an	DET
ejpam-4699	31	12	effective	effective	ADJ
ejpam-4699	31	13	metric	metric	NOUN
ejpam-4699	31	14	.	.	PUNCT
ejpam-4699	32	1	for	for	ADP
ejpam-4699	32	2	this	this	PRON
ejpam-4699	32	3	,	,	PUNCT
ejpam-4699	32	4	methods	method	NOUN
ejpam-4699	32	5	with	with	ADP
ejpam-4699	32	6	multiple	multiple	ADJ
ejpam-4699	32	7	criteria	criterion	NOUN
ejpam-4699	32	8	are	be	AUX
ejpam-4699	32	9	taken	take	VERB
ejpam-4699	32	10	to	to	PART
ejpam-4699	32	11	make	make	VERB
ejpam-4699	32	12	an	an	DET
ejpam-4699	32	13	irreversible	irreversible	ADJ
ejpam-4699	32	14	decision	decision	NOUN
ejpam-4699	32	15	.	.	PUNCT
ejpam-4699	33	1	further	further	ADJ
ejpam-4699	33	2	studies	study	NOUN
ejpam-4699	33	3	have	have	AUX
ejpam-4699	33	4	been	be	AUX
ejpam-4699	33	5	conducted	conduct	VERB
ejpam-4699	33	6	on	on	ADP
ejpam-4699	33	7	the	the	DET
ejpam-4699	33	8	topics	topic	NOUN
ejpam-4699	33	9	of	of	ADP
ejpam-4699	33	10	stock	stock	NOUN
ejpam-4699	33	11	classification	classification	NOUN
ejpam-4699	33	12	and	and	CCONJ
ejpam-4699	33	13	consideration	consideration	NOUN
ejpam-4699	33	14	of	of	ADP
ejpam-4699	33	15	multiple	multiple	ADJ
ejpam-4699	33	16	criteria	criterion	NOUN
ejpam-4699	33	17	.	.	PUNCT
ejpam-4699	34	1	several	several	ADJ
ejpam-4699	34	2	studies	study	NOUN
ejpam-4699	34	3	have	have	AUX
ejpam-4699	34	4	been	be	AUX
ejpam-4699	34	5	conducted	conduct	VERB
ejpam-4699	34	6	to	to	PART
ejpam-4699	34	7	develop	develop	VERB
ejpam-4699	34	8	the	the	DET
ejpam-4699	34	9	analytical	analytical	ADJ
ejpam-4699	34	10	hierarchy	hierarchy	NOUN
ejpam-4699	34	11	process	process	NOUN
ejpam-4699	34	12	(	(	PUNCT
ejpam-4699	34	13	ahp	ahp	NOUN
ejpam-4699	34	14	)	)	PUNCT
ejpam-4699	34	15	through	through	ADP
ejpam-4699	34	16	a	a	DET
ejpam-4699	34	17	common	common	ADJ
ejpam-4699	34	18	criteria	criterion	NOUN
ejpam-4699	34	19	matrix	matrix	NOUN
ejpam-4699	34	20	with	with	ADP
ejpam-4699	34	21	another	another	DET
ejpam-4699	34	22	standard	standard	NOUN
ejpam-4699	34	23	.	.	PUNCT
ejpam-4699	35	1	although	although	SCONJ
ejpam-4699	35	2	this	this	DET
ejpam-4699	35	3	approach	approach	NOUN
ejpam-4699	35	4	is	be	AUX
ejpam-4699	35	5	interesting	interesting	ADJ
ejpam-4699	35	6	,	,	PUNCT
ejpam-4699	35	7	it	it	PRON
ejpam-4699	35	8	does	do	AUX
ejpam-4699	35	9	come	come	VERB
ejpam-4699	35	10	with	with	ADP
ejpam-4699	35	11	some	some	DET
ejpam-4699	35	12	limitations	limitation	NOUN
ejpam-4699	35	13	.	.	PUNCT
ejpam-4699	36	1	in	in	ADP
ejpam-4699	36	2	decision	decision	NOUN
ejpam-4699	36	3	support	support	NOUN
ejpam-4699	36	4	,	,	PUNCT
ejpam-4699	36	5	the	the	DET
ejpam-4699	36	6	direct	direct	ADJ
ejpam-4699	36	7	impact	impact	NOUN
ejpam-4699	36	8	on	on	ADP
ejpam-4699	36	9	the	the	DET
ejpam-4699	36	10	accuracy	accuracy	NOUN
ejpam-4699	36	11	of	of	ADP
ejpam-4699	36	12	the	the	DET
ejpam-4699	36	13	data	datum	NOUN
ejpam-4699	36	14	and	and	CCONJ
ejpam-4699	36	15	all	all	DET
ejpam-4699	36	16	the	the	DET
ejpam-4699	36	17	results	result	NOUN
ejpam-4699	36	18	we	we	PRON
ejpam-4699	36	19	obtained	obtain	VERB
ejpam-4699	36	20	is	be	AUX
ejpam-4699	36	21	shown	show	VERB
ejpam-4699	36	22	the	the	DET
ejpam-4699	36	23	evaluation	evaluation	NOUN
ejpam-4699	36	24	where	where	SCONJ
ejpam-4699	36	25	,	,	PUNCT
ejpam-4699	36	26	in	in	ADP
ejpam-4699	36	27	this	this	DET
ejpam-4699	36	28	research	research	NOUN
ejpam-4699	36	29	,	,	PUNCT
ejpam-4699	36	30	the	the	DET
ejpam-4699	36	31	method	method	NOUN
ejpam-4699	36	32	of	of	ADP
ejpam-4699	36	33	the	the	DET
ejpam-4699	36	34	analytical	analytical	ADJ
ejpam-4699	36	35	hierarchy	hierarchy	NOUN
ejpam-4699	36	36	process	process	NOUN
ejpam-4699	36	37	has	have	AUX
ejpam-4699	36	38	been	be	AUX
ejpam-4699	36	39	combined	combine	VERB
ejpam-4699	36	40	with	with	ADP
ejpam-4699	36	41	the	the	DET
ejpam-4699	36	42	fuzzy	fuzzy	ADJ
ejpam-4699	36	43	logic	logic	NOUN
ejpam-4699	36	44	theory	theory	NOUN
ejpam-4699	36	45	to	to	PART
ejpam-4699	36	46	become	become	VERB
ejpam-4699	36	47	the	the	DET
ejpam-4699	36	48	method	method	NOUN
ejpam-4699	36	49	as	as	ADP
ejpam-4699	36	50	the	the	DET
ejpam-4699	36	51	fuzzy	fuzzy	ADJ
ejpam-4699	36	52	analytical	analytical	ADJ
ejpam-4699	36	53	hierarchy	hierarchy	NOUN
ejpam-4699	36	54	process	process	NOUN
ejpam-4699	36	55	,	,	PUNCT
ejpam-4699	36	56	where	where	SCONJ
ejpam-4699	36	57	the	the	DET
ejpam-4699	36	58	fuzzy	fuzzy	ADJ
ejpam-4699	36	59	analytical	analytical	ADJ
ejpam-4699	36	60	process	process	NOUN
ejpam-4699	36	61	is	be	AUX
ejpam-4699	36	62	used	use	VERB
ejpam-4699	36	63	similarly	similarly	ADV
ejpam-4699	36	64	to	to	ADP
ejpam-4699	36	65	ahp	ahp	NOUN
ejpam-4699	36	66	method	method	NOUN
ejpam-4699	36	67	,	,	PUNCT
ejpam-4699	36	68	whereas	whereas	SCONJ
ejpam-4699	36	69	the	the	DET
ejpam-4699	36	70	fuzzy	fuzzy	ADJ
ejpam-4699	36	71	ahp	ahp	NOUN
ejpam-4699	36	72	or	or	CCONJ
ejpam-4699	36	73	f	f	PROPN
ejpam-4699	36	74	-	-	PUNCT
ejpam-4699	36	75	ahp	ahp	NOUN
ejpam-4699	36	76	method	method	NOUN
ejpam-4699	36	77	[	[	X
ejpam-4699	36	78	4	4	NUM
ejpam-4699	36	79	,	,	PUNCT
ejpam-4699	36	80	16].f	16].f	NUM
ejpam-4699	36	81	-	-	PUNCT
ejpam-4699	36	82	ahp	ahp	NOUN
ejpam-4699	36	83	determines	determine	VERB
ejpam-4699	36	84	to	to	PART
ejpam-4699	36	85	reach	reach	VERB
ejpam-4699	36	86	the	the	DET
ejpam-4699	36	87	best	good	ADJ
ejpam-4699	36	88	decision	decision	NOUN
ejpam-4699	36	89	-	-	PUNCT
ejpam-4699	36	90	making	make	VERB
ejpam-4699	36	91	method	method	NOUN
ejpam-4699	36	92	[	[	X
ejpam-4699	36	93	24	24	NUM
ejpam-4699	36	94	,	,	PUNCT
ejpam-4699	36	95	26	26	NUM
ejpam-4699	36	96	]	]	PUNCT
ejpam-4699	36	97	.	.	PUNCT
ejpam-4699	37	1	step	step	NOUN
ejpam-4699	37	2	(	(	PUNCT
ejpam-4699	37	3	1	1	NUM
ejpam-4699	37	4	):	):	PUNCT
ejpam-4699	37	5	define	define	VERB
ejpam-4699	37	6	the	the	DET
ejpam-4699	37	7	problem	problem	NOUN
ejpam-4699	37	8	statement	statement	NOUN
ejpam-4699	37	9	.	.	PUNCT
ejpam-4699	38	1	according	accord	VERB
ejpam-4699	38	2	to	to	ADP
ejpam-4699	38	3	the	the	DET
ejpam-4699	38	4	criteria	criterion	NOUN
ejpam-4699	38	5	that	that	PRON
ejpam-4699	38	6	are	be	AUX
ejpam-4699	38	7	used	use	VERB
ejpam-4699	38	8	in	in	ADP
ejpam-4699	38	9	this	this	DET
ejpam-4699	38	10	research	research	NOUN
ejpam-4699	38	11	,	,	PUNCT
ejpam-4699	38	12	in	in	ADP
ejpam-4699	38	13	order	order	NOUN
ejpam-4699	38	14	to	to	PART
ejpam-4699	38	15	choose	choose	VERB
ejpam-4699	38	16	the	the	DET
ejpam-4699	38	17	model	model	NOUN
ejpam-4699	38	18	for	for	ADP
ejpam-4699	38	19	gemstones	gemstone	NOUN
ejpam-4699	38	20	through	through	ADP
ejpam-4699	38	21	(	(	PUNCT
ejpam-4699	38	22	heavy	heavy	ADJ
ejpam-4699	38	23	,	,	PUNCT
ejpam-4699	38	24	hardness	hardness	NOUN
ejpam-4699	38	25	,	,	PUNCT
ejpam-4699	38	26	cut	cut	NOUN
ejpam-4699	38	27	,	,	PUNCT
ejpam-4699	38	28	quality	quality	NOUN
ejpam-4699	38	29	,	,	PUNCT
ejpam-4699	38	30	and	and	CCONJ
ejpam-4699	38	31	clarity	clarity	NOUN
ejpam-4699	38	32	)	)	PUNCT
ejpam-4699	38	33	.	.	PUNCT
ejpam-4699	39	1	the	the	DET
ejpam-4699	39	2	weight	weight	NOUN
ejpam-4699	39	3	of	of	ADP
ejpam-4699	39	4	the	the	DET
ejpam-4699	39	5	stone	stone	NOUN
ejpam-4699	39	6	has	have	VERB
ejpam-4699	39	7	a	a	DET
ejpam-4699	39	8	qirat	qirat	NOUN
ejpam-4699	39	9	and	and	CCONJ
ejpam-4699	39	10	the	the	DET
ejpam-4699	39	11	unit	unit	NOUN
ejpam-4699	39	12	is	be	AUX
ejpam-4699	39	13	called	call	VERB
ejpam-4699	39	14	mohs	mohs	NOUN
ejpam-4699	39	15	because	because	SCONJ
ejpam-4699	39	16	of	of	ADP
ejpam-4699	39	17	the	the	DET
ejpam-4699	39	18	name	name	NOUN
ejpam-4699	39	19	of	of	ADP
ejpam-4699	39	20	the	the	DET
ejpam-4699	39	21	first	first	ADJ
ejpam-4699	39	22	person	person	NOUN
ejpam-4699	39	23	to	to	PART
ejpam-4699	39	24	do	do	VERB
ejpam-4699	39	25	clarity	clarity	NOUN
ejpam-4699	39	26	the	the	DET
ejpam-4699	39	27	level	level	NOUN
ejpam-4699	39	28	is	be	AUX
ejpam-4699	39	29	divided	divide	VERB
ejpam-4699	39	30	into	into	ADP
ejpam-4699	39	31	vvs1	vvs1	PROPN
ejpam-4699	39	32	,	,	PUNCT
ejpam-4699	39	33	vvs2	vvs2	NOUN
ejpam-4699	39	34	,	,	PUNCT
ejpam-4699	39	35	vs1	vs1	NOUN
ejpam-4699	39	36	,	,	PUNCT
ejpam-4699	39	37	vs2	vs2	NOUN
ejpam-4699	39	38	,	,	PUNCT
ejpam-4699	39	39	i1	i1	PROPN
ejpam-4699	39	40	,	,	PUNCT
ejpam-4699	39	41	i2	i2	PROPN
ejpam-4699	39	42	,	,	PUNCT
ejpam-4699	39	43	etc	etc	X
ejpam-4699	39	44	.	.	X
ejpam-4699	40	1	the	the	DET
ejpam-4699	40	2	color	color	NOUN
ejpam-4699	40	3	level	level	NOUN
ejpam-4699	40	4	can	can	AUX
ejpam-4699	40	5	be	be	AUX
ejpam-4699	40	6	given	give	VERB
ejpam-4699	40	7	by	by	ADP
ejpam-4699	40	8	b	b	PROPN
ejpam-4699	40	9	,	,	PUNCT
ejpam-4699	40	10	g.	g.	PROPN
ejpam-4699	40	11	m.	m.	PROPN
ejpam-4699	40	12	dhaher	dhaher	PROPN
ejpam-4699	40	13	,	,	PUNCT
ejpam-4699	40	14	t	t	PROPN
ejpam-4699	40	15	:	:	PUNCT
ejpam-4699	40	16	h.	h.	PROPN
ejpam-4699	40	17	abdullah	abdullah	PROPN
ejpam-4699	40	18	,	,	PUNCT
ejpam-4699	40	19	g.	g.	PROPN
ejpam-4699	40	20	m.	m.	PROPN
ejpam-4699	40	21	algwauish	algwauish	PROPN
ejpam-4699	40	22	/	/	SYM
ejpam-4699	40	23	eur	eur	PROPN
ejpam-4699	40	24	.	.	PUNCT
ejpam-4699	41	1	j.	j.	PROPN
ejpam-4699	41	2	pure	pure	PROPN
ejpam-4699	41	3	appl	appl	PROPN
ejpam-4699	41	4	.	.	PROPN
ejpam-4699	41	5	math	math	PROPN
ejpam-4699	41	6	,	,	PUNCT
ejpam-4699	41	7	16	16	NUM
ejpam-4699	41	8	(	(	PUNCT
ejpam-4699	41	9	2	2	NUM
ejpam-4699	41	10	)	)	PUNCT
ejpam-4699	41	11	(	(	PUNCT
ejpam-4699	41	12	2023	2023	NUM
ejpam-4699	41	13	)	)	PUNCT
ejpam-4699	41	14	,	,	PUNCT
ejpam-4699	41	15	1084	1084	NUM
ejpam-4699	41	16	-	-	SYM
ejpam-4699	41	17	1093	1093	NUM
ejpam-4699	41	18	1086	1086	NUM
ejpam-4699	41	19	a	a	PRON
ejpam-4699	41	20	,	,	PUNCT
ejpam-4699	41	21	aa	aa	INTJ
ejpam-4699	41	22	,	,	PUNCT
ejpam-4699	41	23	aaa	aaa	NOUN
ejpam-4699	41	24	,	,	PUNCT
ejpam-4699	41	25	.	.	PUNCT
ejpam-4699	41	26	.	.	PUNCT
ejpam-4699	41	27	.	.	PUNCT
ejpam-4699	42	1	,	,	PUNCT
ejpam-4699	42	2	etc	etc	X
ejpam-4699	42	3	.	.	X
ejpam-4699	42	4	step	step	NOUN
ejpam-4699	42	5	(	(	PUNCT
ejpam-4699	42	6	2	2	NUM
ejpam-4699	42	7	):	):	PUNCT
ejpam-4699	42	8	find	find	VERB
ejpam-4699	42	9	a	a	DET
ejpam-4699	42	10	comparison	comparison	NOUN
ejpam-4699	42	11	,	,	PUNCT
ejpam-4699	42	12	matrix	matrix	NOUN
ejpam-4699	42	13	.	.	PUNCT
ejpam-4699	43	1	through	through	ADP
ejpam-4699	43	2	the	the	DET
ejpam-4699	43	3	date	date	NOUN
ejpam-4699	43	4	of	of	ADP
ejpam-4699	43	5	criteria	criterion	NOUN
ejpam-4699	43	6	stored	store	VERB
ejpam-4699	43	7	in	in	ADP
ejpam-4699	43	8	table	table	NOUN
ejpam-4699	43	9	1	1	NUM
ejpam-4699	43	10	,	,	PUNCT
ejpam-4699	43	11	we	we	PRON
ejpam-4699	43	12	must	must	AUX
ejpam-4699	43	13	create	create	VERB
ejpam-4699	43	14	a	a	DET
ejpam-4699	43	15	comparison	comparison	NOUN
ejpam-4699	43	16	matrix	matrix	NOUN
ejpam-4699	43	17	to	to	PART
ejpam-4699	43	18	get	get	VERB
ejpam-4699	43	19	the	the	DET
ejpam-4699	43	20	consistency	consistency	NOUN
ejpam-4699	43	21	framework	framework	NOUN
ejpam-4699	43	22	in	in	ADP
ejpam-4699	43	23	addition	addition	NOUN
ejpam-4699	43	24	to	to	ADP
ejpam-4699	43	25	that	that	DET
ejpam-4699	43	26	information	information	NOUN
ejpam-4699	43	27	of	of	ADP
ejpam-4699	43	28	comparison	comparison	NOUN
ejpam-4699	43	29	to	to	PART
ejpam-4699	43	30	analyze	analyze	VERB
ejpam-4699	43	31	the	the	DET
ejpam-4699	43	32	priority	priority	NOUN
ejpam-4699	43	33	date	date	NOUN
ejpam-4699	43	34	from	from	ADP
ejpam-4699	43	35	the	the	DET
ejpam-4699	43	36	gemstone	gemstone	NOUN
ejpam-4699	43	37	certificate	certificate	NOUN
ejpam-4699	43	38	.	.	PUNCT
ejpam-4699	44	1	to	to	PART
ejpam-4699	44	2	define	define	VERB
ejpam-4699	44	3	pairwise	pairwise	NOUN
ejpam-4699	44	4	comparisons	comparison	NOUN
ejpam-4699	44	5	,	,	PUNCT
ejpam-4699	44	6	we	we	PRON
ejpam-4699	44	7	use	use	VERB
ejpam-4699	44	8	the	the	DET
ejpam-4699	44	9	following	follow	VERB
ejpam-4699	44	10	equations	equation	NOUN
ejpam-4699	44	11	:	:	PUNCT
ejpam-4699	44	12	αij	αij	NOUN
ejpam-4699	44	13	=	=	SYM
ejpam-4699	45	1	λi	λi	ADP
ejpam-4699	45	2	λj	λj	PROPN
ejpam-4699	45	3	,	,	PUNCT
ejpam-4699	45	4	i	i	PRON
ejpam-4699	45	5	,	,	PUNCT
ejpam-4699	45	6	j	j	PROPN
ejpam-4699	45	7	=	=	SYM
ejpam-4699	45	8	1	1	NUM
ejpam-4699	45	9	,	,	PUNCT
ejpam-4699	45	10	2	2	NUM
ejpam-4699	45	11	,	,	PUNCT
ejpam-4699	45	12	.	.	PUNCT
ejpam-4699	45	13	.	.	PUNCT
ejpam-4699	45	14	.	.	PUNCT
ejpam-4699	46	1	,	,	PUNCT
ejpam-4699	46	2	n	n	CCONJ
ejpam-4699	46	3	,	,	PUNCT
ejpam-4699	46	4	(	(	PUNCT
ejpam-4699	46	5	1	1	X
ejpam-4699	46	6	)	)	PUNCT
ejpam-4699	46	7	where	where	SCONJ
ejpam-4699	46	8	αij	αij	NOUN
ejpam-4699	46	9	is	be	AUX
ejpam-4699	46	10	the	the	DET
ejpam-4699	46	11	ratio	ratio	NOUN
ejpam-4699	46	12	of	of	ADP
ejpam-4699	46	13	weights	weight	NOUN
ejpam-4699	46	14	from	from	ADP
ejpam-4699	46	15	i	i	PRON
ejpam-4699	46	16	,	,	PUNCT
ejpam-4699	46	17	j	j	PROPN
ejpam-4699	46	18	,	,	PUNCT
ejpam-4699	46	19	λi	λi	ADP
ejpam-4699	46	20	are	be	AUX
ejpam-4699	46	21	the	the	DET
ejpam-4699	46	22	weights	weight	NOUN
ejpam-4699	46	23	to	to	ADP
ejpam-4699	46	24	1	1	NUM
ejpam-4699	46	25	,	,	PUNCT
ejpam-4699	46	26	and	and	CCONJ
ejpam-4699	46	27	in	in	ADP
ejpam-4699	46	28	representing	represent	VERB
ejpam-4699	46	29	the	the	DET
ejpam-4699	46	30	number	number	NOUN
ejpam-4699	46	31	of	of	ADP
ejpam-4699	46	32	criteria	criterion	NOUN
ejpam-4699	46	33	table	table	NOUN
ejpam-4699	46	34	(	(	PUNCT
ejpam-4699	46	35	1	1	NUM
ejpam-4699	46	36	)	)	PUNCT
ejpam-4699	46	37	contains	contain	VERB
ejpam-4699	46	38	the	the	DET
ejpam-4699	46	39	comparison	comparison	NOUN
ejpam-4699	46	40	of	of	ADP
ejpam-4699	46	41	the	the	DET
ejpam-4699	46	42	criteria	criterion	NOUN
ejpam-4699	46	43	’s	’s	ADV
ejpam-4699	46	44	of	of	ADP
ejpam-4699	46	45	gemstone	gemstone	NOUN
ejpam-4699	46	46	.	.	PUNCT
ejpam-4699	47	1	table	table	NOUN
ejpam-4699	47	2	1	1	NUM
ejpam-4699	47	3	:	:	PUNCT
ejpam-4699	47	4	gemstones	gemstone	NOUN
ejpam-4699	47	5	criterions	criterions	PROPN
ejpam-4699	47	6	data	datum	NOUN
ejpam-4699	47	7	rubi	rubi	ADJ
ejpam-4699	47	8	gravity	gravity	NOUN
ejpam-4699	47	9	of	of	ADP
ejpam-4699	47	10	specific	specific	ADJ
ejpam-4699	47	11	color	color	NOUN
ejpam-4699	47	12	clarity	clarity	NOUN
ejpam-4699	47	13	cleavage	cleavage	NOUN
ejpam-4699	47	14	hardness	hardness	NOUN
ejpam-4699	47	15	1	1	NUM
ejpam-4699	47	16	2.74ct	2.74ct	NUM
ejpam-4699	47	17	a	a	DET
ejpam-4699	47	18	i1	i1	PROPN
ejpam-4699	47	19	moderate	moderate	ADJ
ejpam-4699	47	20	9	9	NUM
ejpam-4699	47	21	months	month	NOUN
ejpam-4699	47	22	2	2	NUM
ejpam-4699	47	23	1.98ct	1.98ct	NUM
ejpam-4699	47	24	aa	aa	PROPN
ejpam-4699	47	25	s11	s11	PROPN
ejpam-4699	47	26	good	good	ADJ
ejpam-4699	47	27	9	9	NUM
ejpam-4699	47	28	months	month	NOUN
ejpam-4699	47	29	3	3	NUM
ejpam-4699	47	30	4.65ct	4.65ct	NUM
ejpam-4699	47	31	a	a	DET
ejpam-4699	47	32	vs	vs	ADP
ejpam-4699	47	33	excellent	excellent	ADJ
ejpam-4699	47	34	9	9	NUM
ejpam-4699	47	35	months	month	NOUN
ejpam-4699	47	36	4	4	NUM
ejpam-4699	47	37	5.12ct	5.12ct	NUM
ejpam-4699	47	38	aaa	aaa	NOUN
ejpam-4699	47	39	vvs	vvs	NOUN
ejpam-4699	47	40	excellent	excellent	ADJ
ejpam-4699	47	41	9	9	NUM
ejpam-4699	47	42	months	month	NOUN
ejpam-4699	47	43	5	5	NUM
ejpam-4699	47	44	2.88ct	2.88ct	NUM
ejpam-4699	47	45	b	b	PROPN
ejpam-4699	47	46	s12	s12	PROPN
ejpam-4699	47	47	moderate	moderate	ADJ
ejpam-4699	47	48	9	9	NUM
ejpam-4699	47	49	months	month	NOUN
ejpam-4699	47	50	where	where	SCONJ
ejpam-4699	47	51	gemstone	gemstone	NOUN
ejpam-4699	47	52	cleavage	cleavage	NOUN
ejpam-4699	47	53	is	be	AUX
ejpam-4699	47	54	defined	define	VERB
ejpam-4699	47	55	as	as	ADP
ejpam-4699	47	56	any	any	DET
ejpam-4699	47	57	break	break	NOUN
ejpam-4699	47	58	of	of	ADP
ejpam-4699	47	59	a	a	DET
ejpam-4699	47	60	crystal	crystal	NOUN
ejpam-4699	47	61	along	along	ADP
ejpam-4699	47	62	specific	specific	ADJ
ejpam-4699	47	63	flat	flat	ADJ
ejpam-4699	47	64	surfaces	surface	NOUN
ejpam-4699	47	65	and	and	CCONJ
ejpam-4699	47	66	and	and	CCONJ
ejpam-4699	47	67	describe	describe	VERB
ejpam-4699	47	68	the	the	DET
ejpam-4699	47	69	degrees	degree	NOUN
ejpam-4699	47	70	of	of	ADP
ejpam-4699	47	71	divisive	divisive	NOUN
ejpam-4699	47	72	of	of	ADP
ejpam-4699	47	73	gemstone	gemstone	NOUN
ejpam-4699	47	74	to	to	ADP
ejpam-4699	47	75	the	the	DET
ejpam-4699	47	76	directions	direction	NOUN
ejpam-4699	47	77	of	of	ADP
ejpam-4699	47	78	the	the	DET
ejpam-4699	47	79	crystals	crystal	NOUN
ejpam-4699	47	80	:	:	PUNCT
ejpam-4699	47	81	poor	poor	ADJ
ejpam-4699	47	82	(	(	PUNCT
ejpam-4699	47	83	or	or	CCONJ
ejpam-4699	47	84	weak	weak	ADJ
ejpam-4699	47	85	)	)	PUNCT
ejpam-4699	47	86	,	,	PUNCT
ejpam-4699	47	87	fair	fair	ADJ
ejpam-4699	47	88	(	(	PUNCT
ejpam-4699	47	89	moderate	moderate	ADJ
ejpam-4699	47	90	)	)	PUNCT
ejpam-4699	47	91	,	,	PUNCT
ejpam-4699	47	92	good	good	ADJ
ejpam-4699	47	93	and	and	CCONJ
ejpam-4699	47	94	excellent	excellent	ADJ
ejpam-4699	47	95	.	.	PUNCT
ejpam-4699	48	1	it	it	PRON
ejpam-4699	48	2	is	be	AUX
ejpam-4699	48	3	difficult	difficult	ADJ
ejpam-4699	48	4	to	to	PART
ejpam-4699	48	5	divide	divide	VERB
ejpam-4699	48	6	stones	stone	NOUN
ejpam-4699	48	7	that	that	PRON
ejpam-4699	48	8	do	do	AUX
ejpam-4699	48	9	not	not	PART
ejpam-4699	48	10	have	have	VERB
ejpam-4699	48	11	cleavage	cleavage	NOUN
ejpam-4699	48	12	,	,	PUNCT
ejpam-4699	48	13	while	while	SCONJ
ejpam-4699	48	14	they	they	PRON
ejpam-4699	48	15	are	be	AUX
ejpam-4699	48	16	divided	divide	VERB
ejpam-4699	48	17	into	into	ADP
ejpam-4699	48	18	stones	stone	NOUN
ejpam-4699	48	19	with	with	ADP
ejpam-4699	48	20	perfect	perfect	ADJ
ejpam-4699	48	21	cleavage	cleavage	NOUN
ejpam-4699	48	22	.	.	PUNCT
ejpam-4699	49	1	table	table	NOUN
ejpam-4699	49	2	2	2	NUM
ejpam-4699	49	3	:	:	PUNCT
ejpam-4699	49	4	comparison	comparison	NOUN
ejpam-4699	49	5	matrix	matrix	NOUN
ejpam-4699	49	6	of	of	ADP
ejpam-4699	49	7	criteria	criterion	NOUN
ejpam-4699	49	8	criteria	criterion	NOUN
ejpam-4699	49	9	gravity	gravity	NOUN
ejpam-4699	49	10	of	of	ADP
ejpam-4699	49	11	specific	specific	ADJ
ejpam-4699	49	12	color	color	NOUN
ejpam-4699	49	13	clarity	clarity	NOUN
ejpam-4699	49	14	cleavage	cleavage	NOUN
ejpam-4699	49	15	hardness	hardness	NOUN
ejpam-4699	49	16	gravity	gravity	NOUN
ejpam-4699	49	17	of	of	ADP
ejpam-4699	49	18	specific	specific	ADJ
ejpam-4699	49	19	1	1	NUM
ejpam-4699	49	20	7	7	NUM
ejpam-4699	49	21	2	2	NUM
ejpam-4699	49	22	3	3	NUM
ejpam-4699	49	23	4	4	NUM
ejpam-4699	49	24	color	color	NOUN
ejpam-4699	49	25	1	1	NUM
ejpam-4699	49	26	7	7	NUM
ejpam-4699	49	27	1	1	NUM
ejpam-4699	49	28	1	1	NUM
ejpam-4699	49	29	5	5	NUM
ejpam-4699	49	30	1	1	NUM
ejpam-4699	49	31	3	3	NUM
ejpam-4699	49	32	1	1	NUM
ejpam-4699	49	33	4	4	NUM
ejpam-4699	49	34	clarity	clarity	NOUN
ejpam-4699	49	35	1	1	NUM
ejpam-4699	49	36	2	2	NUM
ejpam-4699	49	37	5	5	NUM
ejpam-4699	49	38	1	1	NUM
ejpam-4699	49	39	2	2	NUM
ejpam-4699	49	40	3	3	NUM
ejpam-4699	49	41	cleavage	cleavage	NOUN
ejpam-4699	49	42	1	1	NUM
ejpam-4699	49	43	3	3	NUM
ejpam-4699	49	44	3	3	NUM
ejpam-4699	49	45	1	1	NUM
ejpam-4699	49	46	2	2	NUM
ejpam-4699	49	47	1	1	NUM
ejpam-4699	49	48	1	1	NUM
ejpam-4699	49	49	2	2	NUM
ejpam-4699	49	50	hardness	hardness	NOUN
ejpam-4699	49	51	1	1	NUM
ejpam-4699	49	52	4	4	NUM
ejpam-4699	49	53	4	4	NUM
ejpam-4699	49	54	1	1	NUM
ejpam-4699	49	55	3	3	NUM
ejpam-4699	49	56	2	2	NUM
ejpam-4699	49	57	1	1	NUM
ejpam-4699	49	58	the	the	DET
ejpam-4699	49	59	form	form	NOUN
ejpam-4699	49	60	of	of	ADP
ejpam-4699	49	61	the	the	DET
ejpam-4699	49	62	matrithe	matrithe	NOUN
ejpam-4699	49	63	x	x	PUNCT
ejpam-4699	49	64	by	by	ADP
ejpam-4699	49	65	dividing	divide	VERB
ejpam-4699	49	66	every	every	DET
ejpam-4699	49	67	value	value	NOUN
ejpam-4699	49	68	of	of	ADP
ejpam-4699	49	69	column	column	NOUN
ejpam-4699	49	70	j	j	PROPN
ejpam-4699	49	71	and	and	CCONJ
ejpam-4699	49	72	row	row	VERB
ejpam-4699	49	73	i	i	PRON
ejpam-4699	49	74	with	with	ADP
ejpam-4699	49	75	the	the	DET
ejpam-4699	49	76	greater	great	ADJ
ejpam-4699	49	77	value	value	NOUN
ejpam-4699	49	78	of	of	ADP
ejpam-4699	49	79	column	column	NOUN
ejpam-4699	49	80	j.	j.	PROPN
ejpam-4699	49	81	αij	αij	PROPN
ejpam-4699	50	1	=	=	SYM
ejpam-4699	50	2	αij	αij	NOUN
ejpam-4699	50	3	maxαij	maxαij	NOUN
ejpam-4699	50	4	,	,	PUNCT
ejpam-4699	50	5	∀i	∀i	NOUN
ejpam-4699	50	6	,	,	PUNCT
ejpam-4699	50	7	j	j	NOUN
ejpam-4699	50	8	,	,	PUNCT
ejpam-4699	50	9	(	(	PUNCT
ejpam-4699	50	10	2	2	X
ejpam-4699	50	11	)	)	PUNCT
ejpam-4699	50	12	we	we	PRON
ejpam-4699	50	13	get	get	VERB
ejpam-4699	50	14	the	the	DET
ejpam-4699	50	15	matrix	matrix	NOUN
ejpam-4699	50	16	normalization	normalization	NOUN
ejpam-4699	50	17	from	from	ADP
ejpam-4699	50	18	table	table	NOUN
ejpam-4699	50	19	2	2	NUM
ejpam-4699	50	20	obtained	obtain	VERB
ejpam-4699	50	21	:	:	PUNCT
ejpam-4699	50	22	g.	g.	PROPN
ejpam-4699	50	23	m.	m.	PROPN
ejpam-4699	50	24	dhaher	dhaher	PROPN
ejpam-4699	50	25	,	,	PUNCT
ejpam-4699	50	26	t	t	PROPN
ejpam-4699	50	27	:	:	PUNCT
ejpam-4699	50	28	h.	h.	PROPN
ejpam-4699	50	29	abdullah	abdullah	PROPN
ejpam-4699	50	30	,	,	PUNCT
ejpam-4699	50	31	g.	g.	PROPN
ejpam-4699	50	32	m.	m.	PROPN
ejpam-4699	50	33	algwauish	algwauish	PROPN
ejpam-4699	50	34	/	/	SYM
ejpam-4699	50	35	eur	eur	PROPN
ejpam-4699	50	36	.	.	PUNCT
ejpam-4699	51	1	j.	j.	PROPN
ejpam-4699	51	2	pure	pure	PROPN
ejpam-4699	51	3	appl	appl	PROPN
ejpam-4699	51	4	.	.	PROPN
ejpam-4699	51	5	math	math	PROPN
ejpam-4699	51	6	,	,	PUNCT
ejpam-4699	51	7	16	16	NUM
ejpam-4699	51	8	(	(	PUNCT
ejpam-4699	51	9	2	2	NUM
ejpam-4699	51	10	)	)	PUNCT
ejpam-4699	51	11	(	(	PUNCT
ejpam-4699	51	12	2023	2023	NUM
ejpam-4699	51	13	)	)	PUNCT
ejpam-4699	51	14	,	,	PUNCT
ejpam-4699	51	15	1084	1084	NUM
ejpam-4699	51	16	-	-	SYM
ejpam-4699	51	17	1093	1093	NUM
ejpam-4699	51	18	1087	1087	NUM
ejpam-4699	51	19			NOUN
ejpam-4699	51	20	0.4492	0.4492	NUM
ejpam-4699	51	21	0.3495	0.3495	NUM
ejpam-4699	51	22	0.4959	0.4959	NUM
ejpam-4699	51	23	0.3601	0.3601	NUM
ejpam-4699	51	24	0.4571	0.4571	NUM
ejpam-4699	52	1	0.0642	0.0642	NUM
ejpam-4699	52	2	0.0499	0.0499	NUM
ejpam-4699	52	3	0.0496	0.0496	NUM
ejpam-4699	52	4	0.0396	0.0396	NUM
ejpam-4699	52	5	0.0286	0.0286	NUM
ejpam-4699	52	6	0.2246	0.2246	NUM
ejpam-4699	52	7	0.2496	0.2496	NUM
ejpam-4699	52	8	0.2479	0.2479	NUM
ejpam-4699	52	9	0.2401	0.2401	NUM
ejpam-4699	52	10	0.3429	0.3429	NUM
ejpam-4699	52	11	0.1497	0.1497	NUM
ejpam-4699	52	12	0.1498	0.1498	NUM
ejpam-4699	52	13	0.124	0.124	NUM
ejpam-4699	52	14	0.12	0.12	NUM
ejpam-4699	52	15	0.0571	0.0571	NUM
ejpam-4699	53	1	0.1123	0.1123	NUM
ejpam-4699	53	2	0.1997	0.1997	NUM
ejpam-4699	53	3	0.0826	0.0826	NUM
ejpam-4699	53	4	0.2401	0.2401	NUM
ejpam-4699	53	5	0.1143	0.1143	NUM
ejpam-4699	53	6			NOUN
ejpam-4699	53	7	we	we	PRON
ejpam-4699	53	8	get	get	VERB
ejpam-4699	53	9	the	the	DET
ejpam-4699	53	10	priority	priority	NOUN
ejpam-4699	53	11	priority	priority	NOUN
ejpam-4699	53	12	=	=	SYM
ejpam-4699	53	13	(	(	PUNCT
ejpam-4699	53	14	0.4297	0.4297	NUM
ejpam-4699	53	15	0.0460	0.0460	NUM
ejpam-4699	53	16	0.26	0.26	NUM
ejpam-4699	53	17	0.1171	0.1171	NUM
ejpam-4699	53	18	0.1422	0.1422	NUM
ejpam-4699	53	19	)	)	PUNCT
ejpam-4699	53	20	(	(	PUNCT
ejpam-4699	53	21	3	3	X
ejpam-4699	53	22	)	)	PUNCT
ejpam-4699	53	23	table	table	NOUN
ejpam-4699	53	24	3	3	NUM
ejpam-4699	53	25	:	:	PUNCT
ejpam-4699	53	26	fuzzy	fuzzy	ADJ
ejpam-4699	53	27	evaluation	evaluation	NOUN
ejpam-4699	53	28	matrix	matrix	NOUN
ejpam-4699	53	29	with	with	ADP
ejpam-4699	53	30	triangular	triangular	NOUN
ejpam-4699	53	31	numbers	number	NOUN
ejpam-4699	53	32	criteria	criterion	NOUN
ejpam-4699	53	33	specific	specific	ADJ
ejpam-4699	53	34	gravity	gravity	NOUN
ejpam-4699	53	35	color	color	NOUN
ejpam-4699	53	36	clarity	clarity	NOUN
ejpam-4699	53	37	cleavage	cleavage	NOUN
ejpam-4699	53	38	hardness	hardness	NOUN
ejpam-4699	53	39	specific	specific	ADJ
ejpam-4699	53	40	gravity	gravity	NOUN
ejpam-4699	53	41	(	(	PUNCT
ejpam-4699	53	42	1	1	NUM
ejpam-4699	53	43	,	,	PUNCT
ejpam-4699	53	44	1	1	NUM
ejpam-4699	53	45	,	,	PUNCT
ejpam-4699	53	46	1	1	NUM
ejpam-4699	53	47	)	)	PUNCT
ejpam-4699	53	48	(	(	PUNCT
ejpam-4699	53	49	6	6	NUM
ejpam-4699	53	50	,	,	PUNCT
ejpam-4699	53	51	7	7	NUM
ejpam-4699	53	52	,	,	PUNCT
ejpam-4699	53	53	8)	8)	NUM
ejpam-4699	53	54	(	(	PUNCT
ejpam-4699	53	55	1	1	NUM
ejpam-4699	53	56	,	,	PUNCT
ejpam-4699	53	57	2	2	NUM
ejpam-4699	53	58	,	,	PUNCT
ejpam-4699	53	59	3	3	NUM
ejpam-4699	53	60	)	)	PUNCT
ejpam-4699	53	61	(	(	PUNCT
ejpam-4699	53	62	2	2	NUM
ejpam-4699	53	63	,	,	PUNCT
ejpam-4699	53	64	3	3	NUM
ejpam-4699	53	65	,	,	PUNCT
ejpam-4699	53	66	4	4	NUM
ejpam-4699	53	67	)	)	PUNCT
ejpam-4699	53	68	(	(	PUNCT
ejpam-4699	53	69	3	3	NUM
ejpam-4699	53	70	,	,	PUNCT
ejpam-4699	53	71	4	4	NUM
ejpam-4699	53	72	,	,	PUNCT
ejpam-4699	53	73	5	5	X
ejpam-4699	53	74	)	)	PUNCT
ejpam-4699	53	75	color	color	NOUN
ejpam-4699	53	76	(	(	PUNCT
ejpam-4699	53	77	1/8	1/8	NUM
ejpam-4699	53	78	,	,	PUNCT
ejpam-4699	53	79	1/7	1/7	NUM
ejpam-4699	53	80	,	,	PUNCT
ejpam-4699	53	81	1/6	1/6	NUM
ejpam-4699	53	82	)	)	PUNCT
ejpam-4699	53	83	(	(	PUNCT
ejpam-4699	53	84	1	1	NUM
ejpam-4699	53	85	,	,	PUNCT
ejpam-4699	53	86	1	1	NUM
ejpam-4699	53	87	,	,	PUNCT
ejpam-4699	53	88	1	1	NUM
ejpam-4699	53	89	)	)	PUNCT
ejpam-4699	53	90	(	(	PUNCT
ejpam-4699	53	91	1/6	1/6	NUM
ejpam-4699	53	92	,	,	PUNCT
ejpam-4699	53	93	1/5	1/5	NUM
ejpam-4699	53	94	,	,	PUNCT
ejpam-4699	53	95	1/4	1/4	NUM
ejpam-4699	53	96	)	)	PUNCT
ejpam-4699	53	97	(	(	PUNCT
ejpam-4699	53	98	1/4	1/4	NUM
ejpam-4699	53	99	,	,	PUNCT
ejpam-4699	53	100	1/3	1/3	NUM
ejpam-4699	53	101	,	,	PUNCT
ejpam-4699	53	102	1/2	1/2	NUM
ejpam-4699	53	103	)	)	PUNCT
ejpam-4699	53	104	(	(	PUNCT
ejpam-4699	53	105	1/5	1/5	NUM
ejpam-4699	53	106	,	,	PUNCT
ejpam-4699	53	107	1/4	1/4	NUM
ejpam-4699	53	108	,	,	PUNCT
ejpam-4699	53	109	1/3	1/3	NUM
ejpam-4699	53	110	)	)	PUNCT
ejpam-4699	53	111	clarity	clarity	NOUN
ejpam-4699	53	112	(	(	PUNCT
ejpam-4699	53	113	1/3	1/3	NUM
ejpam-4699	53	114	,	,	PUNCT
ejpam-4699	53	115	1/2	1/2	NUM
ejpam-4699	53	116	,	,	PUNCT
ejpam-4699	53	117	1	1	NUM
ejpam-4699	53	118	)	)	PUNCT
ejpam-4699	53	119	(	(	PUNCT
ejpam-4699	53	120	4	4	NUM
ejpam-4699	53	121	,	,	PUNCT
ejpam-4699	53	122	5	5	NUM
ejpam-4699	53	123	,	,	PUNCT
ejpam-4699	53	124	3	3	NUM
ejpam-4699	53	125	)	)	PUNCT
ejpam-4699	53	126	(	(	PUNCT
ejpam-4699	53	127	1	1	NUM
ejpam-4699	53	128	,	,	PUNCT
ejpam-4699	53	129	1	1	NUM
ejpam-4699	53	130	,	,	PUNCT
ejpam-4699	53	131	1	1	NUM
ejpam-4699	53	132	)	)	PUNCT
ejpam-4699	53	133	(	(	PUNCT
ejpam-4699	53	134	1	1	NUM
ejpam-4699	53	135	,	,	PUNCT
ejpam-4699	53	136	2	2	NUM
ejpam-4699	53	137	,	,	PUNCT
ejpam-4699	53	138	3	3	NUM
ejpam-4699	53	139	)	)	PUNCT
ejpam-4699	53	140	(	(	PUNCT
ejpam-4699	53	141	2	2	NUM
ejpam-4699	53	142	,	,	PUNCT
ejpam-4699	53	143	3	3	NUM
ejpam-4699	53	144	,	,	PUNCT
ejpam-4699	53	145	4	4	NUM
ejpam-4699	53	146	)	)	PUNCT
ejpam-4699	53	147	cleavage	cleavage	NOUN
ejpam-4699	53	148	(	(	PUNCT
ejpam-4699	53	149	1/4	1/4	NUM
ejpam-4699	53	150	,	,	PUNCT
ejpam-4699	53	151	1/3	1/3	NUM
ejpam-4699	53	152	,	,	PUNCT
ejpam-4699	53	153	1/2	1/2	NUM
ejpam-4699	53	154	)	)	PUNCT
ejpam-4699	53	155	(	(	PUNCT
ejpam-4699	53	156	2	2	NUM
ejpam-4699	53	157	,	,	PUNCT
ejpam-4699	53	158	3	3	NUM
ejpam-4699	53	159	,	,	PUNCT
ejpam-4699	53	160	4	4	NUM
ejpam-4699	53	161	)	)	PUNCT
ejpam-4699	53	162	(	(	PUNCT
ejpam-4699	53	163	1/3	1/3	NUM
ejpam-4699	53	164	,	,	PUNCT
ejpam-4699	53	165	1/2	1/2	NUM
ejpam-4699	53	166	,	,	PUNCT
ejpam-4699	53	167	1	1	NUM
ejpam-4699	53	168	)	)	PUNCT
ejpam-4699	53	169	(	(	PUNCT
ejpam-4699	53	170	1	1	NUM
ejpam-4699	53	171	,	,	PUNCT
ejpam-4699	53	172	1	1	NUM
ejpam-4699	53	173	,	,	PUNCT
ejpam-4699	53	174	1	1	NUM
ejpam-4699	53	175	)	)	PUNCT
ejpam-4699	53	176	(	(	PUNCT
ejpam-4699	53	177	1/3	1/3	NUM
ejpam-4699	53	178	,	,	PUNCT
ejpam-4699	53	179	1/2	1/2	NUM
ejpam-4699	53	180	,	,	PUNCT
ejpam-4699	53	181	1	1	NUM
ejpam-4699	53	182	)	)	PUNCT
ejpam-4699	53	183	hardness	hardness	NOUN
ejpam-4699	53	184	(	(	PUNCT
ejpam-4699	53	185	1/4	1/4	NUM
ejpam-4699	53	186	,	,	PUNCT
ejpam-4699	53	187	1/3	1/3	NUM
ejpam-4699	53	188	,	,	PUNCT
ejpam-4699	53	189	1/2	1/2	NUM
ejpam-4699	53	190	)	)	PUNCT
ejpam-4699	53	191	3	3	NUM
ejpam-4699	53	192	,	,	PUNCT
ejpam-4699	53	193	4	4	NUM
ejpam-4699	53	194	,	,	PUNCT
ejpam-4699	53	195	5	5	NUM
ejpam-4699	53	196	)	)	PUNCT
ejpam-4699	53	197	(	(	PUNCT
ejpam-4699	53	198	(	(	PUNCT
ejpam-4699	53	199	1/4	1/4	NUM
ejpam-4699	53	200	,	,	PUNCT
ejpam-4699	53	201	1/3	1/3	NUM
ejpam-4699	53	202	,	,	PUNCT
ejpam-4699	53	203	1/2	1/2	NUM
ejpam-4699	53	204	)	)	PUNCT
ejpam-4699	53	205	(	(	PUNCT
ejpam-4699	53	206	1	1	NUM
ejpam-4699	53	207	,	,	PUNCT
ejpam-4699	53	208	2	2	NUM
ejpam-4699	53	209	,	,	PUNCT
ejpam-4699	53	210	3	3	NUM
ejpam-4699	53	211	)	)	PUNCT
ejpam-4699	53	212	(	(	PUNCT
ejpam-4699	53	213	1	1	NUM
ejpam-4699	53	214	,	,	PUNCT
ejpam-4699	53	215	1	1	NUM
ejpam-4699	53	216	,	,	PUNCT
ejpam-4699	53	217	1	1	NUM
ejpam-4699	53	218	)	)	PUNCT
ejpam-4699	53	219	table	table	NOUN
ejpam-4699	53	220	(	(	PUNCT
ejpam-4699	53	221	3	3	NUM
ejpam-4699	53	222	)	)	PUNCT
ejpam-4699	53	223	contains	contain	VERB
ejpam-4699	53	224	the	the	DET
ejpam-4699	53	225	criterion	criterion	NOUN
ejpam-4699	53	226	of	of	ADP
ejpam-4699	53	227	gemstones	gemstone	NOUN
ejpam-4699	53	228	(	(	PUNCT
ejpam-4699	53	229	specific	specific	ADJ
ejpam-4699	53	230	gravity	gravity	NOUN
ejpam-4699	53	231	,	,	PUNCT
ejpam-4699	53	232	color	color	NOUN
ejpam-4699	53	233	,	,	PUNCT
ejpam-4699	53	234	clarity	clarity	NOUN
ejpam-4699	53	235	,	,	PUNCT
ejpam-4699	53	236	cleavage	cleavage	NOUN
ejpam-4699	53	237	,	,	PUNCT
ejpam-4699	53	238	and	and	CCONJ
ejpam-4699	53	239	hardness	hardness	NOUN
ejpam-4699	53	240	)	)	PUNCT
ejpam-4699	53	241	,	,	PUNCT
ejpam-4699	53	242	with	with	ADP
ejpam-4699	53	243	triangular	triangular	NOUN
ejpam-4699	53	244	numbers	number	NOUN
ejpam-4699	53	245	based	base	VERB
ejpam-4699	53	246	on	on	ADP
ejpam-4699	53	247	table	table	NOUN
ejpam-4699	53	248	(	(	PUNCT
ejpam-4699	53	249	2	2	NUM
ejpam-4699	53	250	)	)	PUNCT
ejpam-4699	53	251	.	.	PUNCT
ejpam-4699	54	1	now	now	ADV
ejpam-4699	54	2	,	,	PUNCT
ejpam-4699	54	3	to	to	PART
ejpam-4699	54	4	find	find	VERB
ejpam-4699	54	5	the	the	DET
ejpam-4699	54	6	eigenvector	eigenvector	NOUN
ejpam-4699	54	7	of	of	ADP
ejpam-4699	54	8	criteria	criterion	NOUN
ejpam-4699	54	9	,	,	PUNCT
ejpam-4699	54	10	we	we	PRON
ejpam-4699	54	11	use	use	VERB
ejpam-4699	54	12	the	the	DET
ejpam-4699	54	13	equation	equation	NOUN
ejpam-4699	54	14	:	:	PUNCT
ejpam-4699	54	15	λi	λi	X
ejpam-4699	54	16	=	=	SYM
ejpam-4699	54	17	α̂i	α̂i	PROPN
ejpam-4699	54	18	n	n	INTJ
ejpam-4699	54	19	,	,	PUNCT
ejpam-4699	54	20	∀i	∀i	NOUN
ejpam-4699	54	21	,	,	PUNCT
ejpam-4699	54	22	(	(	PUNCT
ejpam-4699	54	23	4	4	X
ejpam-4699	54	24	)	)	PUNCT
ejpam-4699	54	25	where	where	SCONJ
ejpam-4699	54	26	λi	λi	ADP
ejpam-4699	54	27	is	be	AUX
ejpam-4699	54	28	the	the	DET
ejpam-4699	54	29	eigenvector	eigenvector	NOUN
ejpam-4699	54	30	,	,	PUNCT
ejpam-4699	54	31	α̂i	α̂i	VERB
ejpam-4699	54	32	the	the	DET
ejpam-4699	54	33	sum	sum	NOUN
ejpam-4699	54	34	of	of	ADP
ejpam-4699	54	35	the	the	DET
ejpam-4699	54	36	matrix	matrix	NOUN
ejpam-4699	54	37	normalization	normalization	NOUN
ejpam-4699	54	38	values	value	NOUN
ejpam-4699	54	39	and	and	CCONJ
ejpam-4699	54	40	it	it	PRON
ejpam-4699	54	41	is	be	AUX
ejpam-4699	54	42	divided	divide	VERB
ejpam-4699	54	43	by	by	ADP
ejpam-4699	54	44	(	(	PUNCT
ejpam-4699	54	45	n	n	CCONJ
ejpam-4699	54	46	)	)	PUNCT
ejpam-4699	54	47	(	(	PUNCT
ejpam-4699	54	48	n	n	X
ejpam-4699	54	49	is	be	AUX
ejpam-4699	54	50	number	number	NOUN
ejpam-4699	54	51	the	the	DET
ejpam-4699	54	52	r	r	NOUN
ejpam-4699	54	53	of	of	ADP
ejpam-4699	54	54	criteria	criterion	NOUN
ejpam-4699	54	55	)	)	PUNCT
ejpam-4699	54	56	.	.	PUNCT
ejpam-4699	55	1	we	we	PRON
ejpam-4699	55	2	can	can	AUX
ejpam-4699	55	3	find	find	VERB
ejpam-4699	55	4	the	the	DET
ejpam-4699	55	5	largest	large	ADJ
ejpam-4699	55	6	eigenvector	eigenvector	NOUN
ejpam-4699	55	7	λmaks	λmak	NOUN
ejpam-4699	55	8	which	which	PRON
ejpam-4699	55	9	obtained	obtain	VERB
ejpam-4699	55	10	by	by	ADP
ejpam-4699	55	11	:	:	PUNCT
ejpam-4699	55	12	λmaks	λmak	NOUN
ejpam-4699	55	13	=	=	SYM
ejpam-4699	55	14	(	(	PUNCT
ejpam-4699	55	15	∑	∑	PROPN
ejpam-4699	55	16	gmi1−nixx̄1	gmi1−nixx̄1	NOUN
ejpam-4699	55	17	)	)	PUNCT
ejpam-4699	56	1	+	+	CCONJ
ejpam-4699	56	2	·	·	PUNCT
ejpam-4699	56	3	·	·	PUNCT
ejpam-4699	56	4	·	·	PUNCT
ejpam-4699	56	5	+	+	CCONJ
ejpam-4699	56	6	(	(	PUNCT
ejpam-4699	56	7	∑	∑	PUNCT
ejpam-4699	56	8	gmin−nixx̄n	gmin−nixx̄n	PROPN
ejpam-4699	56	9	)	)	PUNCT
ejpam-4699	56	10	(	(	PUNCT
ejpam-4699	56	11	5	5	X
ejpam-4699	56	12	)	)	PUNCT
ejpam-4699	56	13	λmaks	λmak	NOUN
ejpam-4699	56	14	=	=	SYM
ejpam-4699	56	15	5.1662	5.1662	NUM
ejpam-4699	56	16	and	and	CCONJ
ejpam-4699	56	17	ci	ci	NOUN
ejpam-4699	56	18	=	=	NOUN
ejpam-4699	56	19	λmaks−	λmaks−	NOUN
ejpam-4699	56	20	n	n	DET
ejpam-4699	56	21	n−	n−	PROPN
ejpam-4699	56	22	1	1	NUM
ejpam-4699	56	23	(	(	PUNCT
ejpam-4699	56	24	6	6	NUM
ejpam-4699	56	25	)	)	PUNCT
ejpam-4699	56	26	ci	ci	NOUN
ejpam-4699	56	27	=	=	PROPN
ejpam-4699	56	28	0.0415	0.0415	NUM
ejpam-4699	56	29	and	and	CCONJ
ejpam-4699	56	30	ri	ri	NOUN
ejpam-4699	56	31	=	=	NOUN
ejpam-4699	56	32	1.12	1.12	NUM
ejpam-4699	56	33	cr	cr	PROPN
ejpam-4699	56	34	=	=	SYM
ejpam-4699	56	35	ci	ci	PROPN
ejpam-4699	57	1	ri	ri	PROPN
ejpam-4699	58	1	=	=	NOUN
ejpam-4699	58	2	0.0415	0.0415	NUM
ejpam-4699	58	3	1.12	1.12	NUM
ejpam-4699	58	4	=	=	NOUN
ejpam-4699	58	5	0.03705	0.03705	NUM
ejpam-4699	58	6	we	we	PRON
ejpam-4699	58	7	get	get	VERB
ejpam-4699	58	8	the	the	DET
ejpam-4699	58	9	results	result	NOUN
ejpam-4699	58	10	eigenvector	eigenvector	NOUN
ejpam-4699	58	11	of	of	ADP
ejpam-4699	58	12	criteria	criterion	NOUN
ejpam-4699	58	13	of	of	ADP
ejpam-4699	58	14	gemstones	gemstone	NOUN
ejpam-4699	58	15	in	in	ADP
ejpam-4699	58	16	the	the	DET
ejpam-4699	58	17	table	table	NOUN
ejpam-4699	58	18	(	(	PUNCT
ejpam-4699	58	19	4	4	NUM
ejpam-4699	58	20	)	)	PUNCT
ejpam-4699	58	21	below	below	ADV
ejpam-4699	58	22	:	:	PUNCT
ejpam-4699	58	23	g.	g.	PROPN
ejpam-4699	58	24	m.	m.	PROPN
ejpam-4699	58	25	dhaher	dhaher	PROPN
ejpam-4699	58	26	,	,	PUNCT
ejpam-4699	58	27	t	t	PROPN
ejpam-4699	58	28	:	:	PUNCT
ejpam-4699	58	29	h.	h.	PROPN
ejpam-4699	58	30	abdullah	abdullah	PROPN
ejpam-4699	58	31	,	,	PUNCT
ejpam-4699	58	32	g.	g.	PROPN
ejpam-4699	58	33	m.	m.	PROPN
ejpam-4699	58	34	algwauish	algwauish	PROPN
ejpam-4699	58	35	/	/	SYM
ejpam-4699	58	36	eur	eur	PROPN
ejpam-4699	58	37	.	.	PUNCT
ejpam-4699	59	1	j.	j.	PROPN
ejpam-4699	59	2	pure	pure	PROPN
ejpam-4699	59	3	appl	appl	PROPN
ejpam-4699	59	4	.	.	PROPN
ejpam-4699	59	5	math	math	PROPN
ejpam-4699	59	6	,	,	PUNCT
ejpam-4699	59	7	16	16	NUM
ejpam-4699	59	8	(	(	PUNCT
ejpam-4699	59	9	2	2	NUM
ejpam-4699	59	10	)	)	PUNCT
ejpam-4699	59	11	(	(	PUNCT
ejpam-4699	59	12	2023	2023	NUM
ejpam-4699	59	13	)	)	PUNCT
ejpam-4699	59	14	,	,	PUNCT
ejpam-4699	59	15	1084	1084	NUM
ejpam-4699	59	16	-	-	SYM
ejpam-4699	59	17	1093	1093	NUM
ejpam-4699	59	18	1088	1088	NUM
ejpam-4699	59	19	table	table	NOUN
ejpam-4699	59	20	4	4	NUM
ejpam-4699	59	21	:	:	PUNCT
ejpam-4699	59	22	eigenvector	eigenvector	NOUN
ejpam-4699	59	23	of	of	ADP
ejpam-4699	59	24	criteria	criterion	NOUN
ejpam-4699	59	25	specific	specific	ADJ
ejpam-4699	59	26	gravity	gravity	NOUN
ejpam-4699	59	27	2.786	2.786	NUM
ejpam-4699	59	28	color	color	NOUN
ejpam-4699	59	29	0.298	0.298	NUM
ejpam-4699	59	30	clarity	clarity	NOUN
ejpam-4699	59	31	1.7180	1.7180	NUM
ejpam-4699	59	32	cleavage	cleavage	NOUN
ejpam-4699	59	33	0.7594	0.7594	NUM
ejpam-4699	59	34	hardness	hardness	NOUN
ejpam-4699	59	35	0.9221	0.9221	NUM
ejpam-4699	59	36	sum	sum	NOUN
ejpam-4699	59	37	=	=	VERB
ejpam-4699	59	38	6.4852	6.4852	NUM
ejpam-4699	59	39	step	step	NOUN
ejpam-4699	59	40	(	(	PUNCT
ejpam-4699	59	41	3	3	NUM
ejpam-4699	59	42	):	):	PUNCT
ejpam-4699	59	43	consistency	consistency	NOUN
ejpam-4699	59	44	check	check	NOUN
ejpam-4699	59	45	the	the	DET
ejpam-4699	59	46	comparison	comparison	NOUN
ejpam-4699	59	47	of	of	ADP
ejpam-4699	59	48	consistency	consistency	NOUN
ejpam-4699	59	49	indicator	indicator	NOUN
ejpam-4699	59	50	in	in	ADP
ejpam-4699	59	51	the	the	DET
ejpam-4699	59	52	random	random	ADJ
ejpam-4699	59	53	generator	generator	NOUN
ejpam-4699	59	54	(	(	PUNCT
ejpam-4699	59	55	ri	ri	NOUN
ejpam-4699	59	56	)	)	PUNCT
ejpam-4699	59	57	as	as	ADP
ejpam-4699	59	58	the	the	DET
ejpam-4699	59	59	results	result	NOUN
ejpam-4699	59	60	following	follow	VERB
ejpam-4699	59	61	in	in	ADP
ejpam-4699	59	62	table	table	NOUN
ejpam-4699	59	63	(	(	PUNCT
ejpam-4699	59	64	5	5	NUM
ejpam-4699	59	65	):	):	PUNCT
ejpam-4699	59	66	table	table	NOUN
ejpam-4699	59	67	5	5	NUM
ejpam-4699	59	68	:	:	PUNCT
ejpam-4699	59	69	ratio	ratio	NOUN
ejpam-4699	59	70	index	index	NOUN
ejpam-4699	59	71	n	n	NOUN
ejpam-4699	59	72	1	1	NUM
ejpam-4699	59	73	2	2	NUM
ejpam-4699	59	74	3	3	NUM
ejpam-4699	59	75	4	4	NUM
ejpam-4699	59	76	5	5	NUM
ejpam-4699	59	77	6	6	NUM
ejpam-4699	59	78	7	7	NUM
ejpam-4699	59	79	8	8	NUM
ejpam-4699	59	80	9	9	NUM
ejpam-4699	59	81	ri	ri	NOUN
ejpam-4699	59	82	0	0	NUM
ejpam-4699	59	83	0	0	NUM
ejpam-4699	59	84	0.58	0.58	NUM
ejpam-4699	59	85	0.90	0.90	NUM
ejpam-4699	59	86	1.120	1.120	NUM
ejpam-4699	59	87	1.2400	1.2400	NUM
ejpam-4699	59	88	1.320	1.320	NUM
ejpam-4699	59	89	1.4200	1.4200	NUM
ejpam-4699	59	90	1.4500	1.4500	NUM
ejpam-4699	59	91	where	where	SCONJ
ejpam-4699	59	92	the	the	DET
ejpam-4699	59	93	value	value	NOUN
ejpam-4699	59	94	of	of	ADP
ejpam-4699	59	95	the	the	DET
ejpam-4699	59	96	ratio	ratio	NOUN
ejpam-4699	59	97	index	index	NOUN
ejpam-4699	59	98	relies	rely	VERB
ejpam-4699	59	99	on	on	ADP
ejpam-4699	59	100	the	the	DET
ejpam-4699	59	101	matrix	matrix	NOUN
ejpam-4699	59	102	order	order	NOUN
ejpam-4699	59	103	.	.	PUNCT
ejpam-4699	60	1	step	step	NOUN
ejpam-4699	60	2	(	(	PUNCT
ejpam-4699	60	3	4	4	NUM
ejpam-4699	60	4	):	):	PUNCT
ejpam-4699	60	5	for	for	ADP
ejpam-4699	60	6	triangular	triangular	ADJ
ejpam-4699	60	7	furry	furry	ADJ
ejpam-4699	60	8	number	number	NOUN
ejpam-4699	60	9	(	(	PUNCT
ejpam-4699	60	10	tfn	tfn	NOUN
ejpam-4699	60	11	)	)	PUNCT
ejpam-4699	60	12	,	,	PUNCT
ejpam-4699	60	13	we	we	PRON
ejpam-4699	60	14	use	use	VERB
ejpam-4699	60	15	the	the	DET
ejpam-4699	60	16	f	f	PROPN
ejpam-4699	60	17	ahp	ahp	PROPN
ejpam-4699	60	18	scale	scale	NOUN
ejpam-4699	60	19	for	for	ADP
ejpam-4699	60	20	triangular	triangular	NOUN
ejpam-4699	60	21	fuzzy	fuzzy	ADJ
ejpam-4699	60	22	number	number	NOUN
ejpam-4699	60	23	containing	contain	VERB
ejpam-4699	60	24	three	three	NUM
ejpam-4699	60	25	values	value	NOUN
ejpam-4699	60	26	(	(	PUNCT
ejpam-4699	60	27	l	l	NOUN
ejpam-4699	60	28	,	,	PUNCT
ejpam-4699	60	29	m	m	PROPN
ejpam-4699	60	30	,	,	PUNCT
ejpam-4699	60	31	u	u	NOUN
ejpam-4699	60	32	)	)	PUNCT
ejpam-4699	60	33	where	where	SCONJ
ejpam-4699	60	34	the	the	DET
ejpam-4699	60	35	lowest	low	ADJ
ejpam-4699	60	36	value	value	NOUN
ejpam-4699	60	37	,	,	PUNCT
ejpam-4699	60	38	middle	middle	ADJ
ejpam-4699	60	39	value	value	NOUN
ejpam-4699	60	40	,	,	PUNCT
ejpam-4699	60	41	and	and	CCONJ
ejpam-4699	60	42	highest	high	ADJ
ejpam-4699	60	43	value	value	NOUN
ejpam-4699	60	44	,	,	PUNCT
ejpam-4699	60	45	respectively	respectively	ADV
ejpam-4699	60	46	,	,	PUNCT
ejpam-4699	60	47	see	see	VERB
ejpam-4699	60	48	figure	figure	NOUN
ejpam-4699	60	49	(	(	PUNCT
ejpam-4699	60	50	1	1	NUM
ejpam-4699	60	51	)	)	PUNCT
ejpam-4699	60	52	figure	figure	NOUN
ejpam-4699	60	53	1	1	NUM
ejpam-4699	60	54	:	:	PUNCT
ejpam-4699	60	55	membership	membership	NOUN
ejpam-4699	60	56	function	function	NOUN
ejpam-4699	60	57	of	of	ADP
ejpam-4699	60	58	triangular	triangular	NOUN
ejpam-4699	60	59	fuzzy	fuzzy	ADJ
ejpam-4699	60	60	number	number	NOUN
ejpam-4699	60	61	.	.	PUNCT
ejpam-4699	61	1	tfn	tfn	NOUN
ejpam-4699	61	2	uses	use	VERB
ejpam-4699	61	3	in	in	ADP
ejpam-4699	61	4	this	this	DET
ejpam-4699	61	5	paper	paper	NOUN
ejpam-4699	61	6	through	through	ADP
ejpam-4699	61	7	(	(	PUNCT
ejpam-4699	61	8	l	l	NOUN
ejpam-4699	61	9	,	,	PUNCT
ejpam-4699	61	10	m	m	PROPN
ejpam-4699	61	11	,	,	PUNCT
ejpam-4699	61	12	u	u	NOUN
ejpam-4699	61	13	)	)	PUNCT
ejpam-4699	61	14	and	and	CCONJ
ejpam-4699	61	15	membership	membership	NOUN
ejpam-4699	61	16	function	function	NOUN
ejpam-4699	61	17	mm	mm	PROPN
ejpam-4699	61	18	as	as	SCONJ
ejpam-4699	61	19	follows	follow	VERB
ejpam-4699	61	20	:	:	PUNCT
ejpam-4699	61	21	g.	g.	PROPN
ejpam-4699	61	22	m.	m.	PROPN
ejpam-4699	61	23	dhaher	dhaher	PROPN
ejpam-4699	61	24	,	,	PUNCT
ejpam-4699	61	25	t	t	PROPN
ejpam-4699	61	26	:	:	PUNCT
ejpam-4699	61	27	h.	h.	PROPN
ejpam-4699	61	28	abdullah	abdullah	PROPN
ejpam-4699	61	29	,	,	PUNCT
ejpam-4699	61	30	g.	g.	PROPN
ejpam-4699	61	31	m.	m.	PROPN
ejpam-4699	61	32	algwauish	algwauish	PROPN
ejpam-4699	61	33	/	/	SYM
ejpam-4699	61	34	eur	eur	PROPN
ejpam-4699	61	35	.	.	PUNCT
ejpam-4699	62	1	j.	j.	PROPN
ejpam-4699	62	2	pure	pure	PROPN
ejpam-4699	62	3	appl	appl	PROPN
ejpam-4699	62	4	.	.	PROPN
ejpam-4699	62	5	math	math	PROPN
ejpam-4699	62	6	,	,	PUNCT
ejpam-4699	62	7	16	16	NUM
ejpam-4699	62	8	(	(	PUNCT
ejpam-4699	62	9	2	2	NUM
ejpam-4699	62	10	)	)	PUNCT
ejpam-4699	62	11	(	(	PUNCT
ejpam-4699	62	12	2023	2023	NUM
ejpam-4699	62	13	)	)	PUNCT
ejpam-4699	62	14	,	,	PUNCT
ejpam-4699	62	15	1084	1084	NUM
ejpam-4699	62	16	-	-	SYM
ejpam-4699	62	17	1093	1093	NUM
ejpam-4699	62	18	1089	1089	NUM
ejpam-4699	62	19	let	let	VERB
ejpam-4699	62	20	(	(	PUNCT
ejpam-4699	62	21	l1,m1	l1,m1	PROPN
ejpam-4699	62	22	,	,	PUNCT
ejpam-4699	62	23	u1	u1	NOUN
ejpam-4699	62	24	)	)	PUNCT
ejpam-4699	62	25	and	and	CCONJ
ejpam-4699	62	26	(	(	PUNCT
ejpam-4699	62	27	l2,m2	l2,m2	PROPN
ejpam-4699	62	28	,	,	PUNCT
ejpam-4699	62	29	u2	u2	PROPN
ejpam-4699	62	30	)	)	PUNCT
ejpam-4699	62	31	,	,	PUNCT
ejpam-4699	62	32	and	and	CCONJ
ejpam-4699	62	33	the	the	DET
ejpam-4699	62	34	fuzzy	fuzzy	ADJ
ejpam-4699	62	35	arithmetic	arithmetic	ADJ
ejpam-4699	62	36	operations	operation	NOUN
ejpam-4699	62	37	are	be	AUX
ejpam-4699	62	38	defined	define	VERB
ejpam-4699	62	39	as	as	ADP
ejpam-4699	62	40	:	:	PUNCT
ejpam-4699	62	41	•	•	NUM
ejpam-4699	62	42	addition	addition	NOUN
ejpam-4699	62	43	:	:	PUNCT
ejpam-4699	62	44	(	(	PUNCT
ejpam-4699	62	45	11	11	NUM
ejpam-4699	62	46	,	,	PUNCT
ejpam-4699	62	47	m1	m1	NOUN
ejpam-4699	62	48	,	,	PUNCT
ejpam-4699	62	49	u1	u1	NOUN
ejpam-4699	62	50	)	)	PUNCT
ejpam-4699	63	1	+	+	CCONJ
ejpam-4699	63	2	(	(	PUNCT
ejpam-4699	63	3	l2	l2	NOUN
ejpam-4699	63	4	,	,	PUNCT
ejpam-4699	63	5	m2	m2	PROPN
ejpam-4699	63	6	,	,	PUNCT
ejpam-4699	63	7	u2	u2	PROPN
ejpam-4699	63	8	)	)	PUNCT
ejpam-4699	63	9	=	=	SYM
ejpam-4699	63	10	(	(	PUNCT
ejpam-4699	63	11	l1	l1	PROPN
ejpam-4699	63	12	+	+	CCONJ
ejpam-4699	63	13	l2	l2	PROPN
ejpam-4699	63	14	m1	m1	NOUN
ejpam-4699	63	15	+	+	NOUN
ejpam-4699	63	16	m2	m2	PROPN
ejpam-4699	63	17	u1	u1	NOUN
ejpam-4699	63	18	+	+	CCONJ
ejpam-4699	63	19	u2	u2	PROPN
ejpam-4699	63	20	)	)	PUNCT
ejpam-4699	63	21	•	•	NUM
ejpam-4699	63	22	multiplication	multiplication	NOUN
ejpam-4699	63	23	:	:	PUNCT
ejpam-4699	63	24	(	(	PUNCT
ejpam-4699	63	25	11	11	NUM
ejpam-4699	63	26	,	,	PUNCT
ejpam-4699	63	27	m1,u1	m1,u1	PROPN
ejpam-4699	63	28	)	)	PUNCT
ejpam-4699	63	29	·	·	PUNCT
ejpam-4699	63	30	(	(	PUNCT
ejpam-4699	63	31	l2	l2	NOUN
ejpam-4699	63	32	,	,	PUNCT
ejpam-4699	63	33	m2	m2	PROPN
ejpam-4699	63	34	,	,	PUNCT
ejpam-4699	63	35	u2	u2	PROPN
ejpam-4699	63	36	)	)	PUNCT
ejpam-4699	63	37	=	=	PUNCT
ejpam-4699	63	38	(	(	PUNCT
ejpam-4699	63	39	1112	1112	NUM
ejpam-4699	63	40	,	,	PUNCT
ejpam-4699	63	41	m1	m1	PROPN
ejpam-4699	63	42	m2	m2	PROPN
ejpam-4699	63	43	,	,	PUNCT
ejpam-4699	63	44	u1u2	u1u2	NOUN
ejpam-4699	63	45	)	)	PUNCT
ejpam-4699	63	46	•	•	NOUN
ejpam-4699	63	47	inverse	inverse	NOUN
ejpam-4699	63	48	:	:	PUNCT
ejpam-4699	63	49	(	(	PUNCT
ejpam-4699	63	50	11	11	NUM
ejpam-4699	63	51	,	,	PUNCT
ejpam-4699	63	52	m1	m1	NOUN
ejpam-4699	63	53	,	,	PUNCT
ejpam-4699	63	54	u1	u1	NOUN
ejpam-4699	63	55	)	)	PUNCT
ejpam-4699	63	56	−1	−1	NOUN
ejpam-4699	64	1	≈	≈	PROPN
ejpam-4699	64	2	(	(	PUNCT
ejpam-4699	64	3	λl1	λl1	PROPN
ejpam-4699	64	4	,	,	PUNCT
ejpam-4699	64	5	λm1	λm1	PROPN
ejpam-4699	64	6	,	,	PUNCT
ejpam-4699	64	7	λu1	λu1	ADJ
ejpam-4699	64	8	)	)	PUNCT
ejpam-4699	64	9	step	step	NOUN
ejpam-4699	64	10	(	(	PUNCT
ejpam-4699	64	11	5	5	NUM
ejpam-4699	64	12	):	):	PUNCT
ejpam-4699	64	13	calculating	calculate	VERB
ejpam-4699	64	14	weights	weight	NOUN
ejpam-4699	64	15	of	of	ADP
ejpam-4699	64	16	fuzzy	fuzzy	ADJ
ejpam-4699	64	17	vector	vector	NOUN
ejpam-4699	64	18	(	(	PUNCT
ejpam-4699	64	19	tfn	tfn	NOUN
ejpam-4699	64	20	)	)	PUNCT
ejpam-4699	64	21	is	be	AUX
ejpam-4699	64	22	of	of	ADP
ejpam-4699	64	23	the	the	DET
ejpam-4699	64	24	most	most	ADJ
ejpam-4699	64	25	senses	sense	NOUN
ejpam-4699	64	26	technique	technique	VERB
ejpam-4699	64	27	to	to	PART
ejpam-4699	64	28	calculate	calculate	VERB
ejpam-4699	64	29	weights	weight	NOUN
ejpam-4699	64	30	from	from	ADP
ejpam-4699	64	31	comparison	comparison	NOUN
ejpam-4699	64	32	matrices	matrix	NOUN
ejpam-4699	64	33	(	(	PUNCT
ejpam-4699	64	34	tfn	tfn	NOUN
ejpam-4699	64	35	)	)	PUNCT
ejpam-4699	64	36	required	require	VERB
ejpam-4699	64	37	,	,	PUNCT
ejpam-4699	64	38	we	we	PRON
ejpam-4699	64	39	have	have	VERB
ejpam-4699	64	40	x	x	NOUN
ejpam-4699	64	41	=	=	PRON
ejpam-4699	64	42	{	{	PUNCT
ejpam-4699	64	43	x1	x1	PROPN
ejpam-4699	64	44	,	,	PUNCT
ejpam-4699	64	45	x2	x2	PROPN
ejpam-4699	64	46	,	,	PUNCT
ejpam-4699	64	47	.	.	PUNCT
ejpam-4699	64	48	.	.	PUNCT
ejpam-4699	64	49	.	.	PUNCT
ejpam-4699	65	1	xn	xn	X
ejpam-4699	65	2	}	}	PUNCT
ejpam-4699	65	3	is	be	AUX
ejpam-4699	65	4	object	object	NOUN
ejpam-4699	65	5	set	set	NOUN
ejpam-4699	65	6	,	,	PUNCT
ejpam-4699	65	7	and	and	CCONJ
ejpam-4699	65	8	g	g	PROPN
ejpam-4699	65	9	=	=	SYM
ejpam-4699	65	10	{	{	PUNCT
ejpam-4699	65	11	g1	g1	PROPN
ejpam-4699	65	12	,	,	PUNCT
ejpam-4699	65	13	g2	g2	PROPN
ejpam-4699	65	14	,	,	PUNCT
ejpam-4699	65	15	.	.	PUNCT
ejpam-4699	65	16	.	.	PUNCT
ejpam-4699	65	17	.	.	PUNCT
ejpam-4699	66	1	gn	gn	INTJ
ejpam-4699	66	2	}	}	PUNCT
ejpam-4699	66	3	goal	goal	NOUN
ejpam-4699	66	4	set	set	VERB
ejpam-4699	66	5	for	for	ADP
ejpam-4699	66	6	each	each	DET
ejpam-4699	66	7	object	object	NOUN
ejpam-4699	66	8	set	set	NOUN
ejpam-4699	66	9	can	can	AUX
ejpam-4699	66	10	be	be	AUX
ejpam-4699	66	11	analysis	analysis	NOUN
ejpam-4699	66	12	procedure	procedure	NOUN
ejpam-4699	66	13	of	of	ADP
ejpam-4699	66	14	each	each	DET
ejpam-4699	66	15	gi	gi	NOUN
ejpam-4699	66	16	.	.	PUNCT
ejpam-4699	67	1	can	can	AUX
ejpam-4699	67	2	be	be	AUX
ejpam-4699	67	3	calculated	calculate	VERB
ejpam-4699	67	4	value	value	NOUN
ejpam-4699	67	5	of	of	ADP
ejpam-4699	67	6	si	si	NOUN
ejpam-4699	67	7	as	as	ADP
ejpam-4699	67	8	:	:	PUNCT
ejpam-4699	67	9	si	si	X
ejpam-4699	67	10	=	=	PUNCT
ejpam-4699	67	11	m∑	m∑	NOUN
ejpam-4699	68	1	j=1	j=1	PROPN
ejpam-4699	68	2	m	m	VERB
ejpam-4699	68	3	j	j	NOUN
ejpam-4699	68	4	qi	qi	PROPN
ejpam-4699	68	5	×	×	PROPN
ejpam-4699	68	6			PROPN
ejpam-4699	68	7	n∑	n∑	NOUN
ejpam-4699	68	8	i=1	i=1	PROPN
ejpam-4699	69	1	m∑	m∑	ADV
ejpam-4699	69	2	j=1	j=1	PROPN
ejpam-4699	69	3	m	m	VERB
ejpam-4699	69	4	j	j	NOUN
ejpam-4699	69	5	qi	qi	NOUN
ejpam-4699	69	6	−1	−1	PROPN
ejpam-4699	69	7	(	(	PUNCT
ejpam-4699	69	8	7	7	NUM
ejpam-4699	69	9	)	)	PUNCT
ejpam-4699	69	10	where	where	SCONJ
ejpam-4699	69	11	m∑	m∑	ADV
ejpam-4699	69	12	j=1	j=1	PROPN
ejpam-4699	69	13	m	m	VERB
ejpam-4699	69	14	j	j	NOUN
ejpam-4699	69	15	qi	qi	PROPN
ejpam-4699	69	16	=	=	SYM
ejpam-4699	69	17			PROPN
ejpam-4699	69	18	m∑	m∑	ADV
ejpam-4699	69	19	j=1	j=1	PROPN
ejpam-4699	69	20	lj	lj	PROPN
ejpam-4699	69	21	,	,	PUNCT
ejpam-4699	69	22	m∑	m∑	VERB
ejpam-4699	69	23	j=1	j=1	PROPN
ejpam-4699	69	24	mj	mj	PROPN
ejpam-4699	69	25	,	,	PUNCT
ejpam-4699	69	26	m∑	m∑	ADP
ejpam-4699	69	27	k=1	k=1	PROPN
ejpam-4699	69	28	uj	uj	PROPN
ejpam-4699	69	29			PROPN
ejpam-4699	69	30	.	.	PUNCT
ejpam-4699	70	1	(	(	PUNCT
ejpam-4699	70	2	8)	8)	NUM
ejpam-4699	70	3	in	in	ADP
ejpam-4699	70	4	the	the	DET
ejpam-4699	70	5	original	original	ADJ
ejpam-4699	70	6	method	method	NOUN
ejpam-4699	70	7	of	of	ADP
ejpam-4699	70	8	ahp	ahp	NOUN
ejpam-4699	70	9	,	,	PUNCT
ejpam-4699	70	10	we	we	PRON
ejpam-4699	70	11	use	use	VERB
ejpam-4699	70	12	the	the	DET
ejpam-4699	70	13	scale	scale	NOUN
ejpam-4699	70	14	1	1	NUM
ejpam-4699	70	15	.	.	PUNCT
ejpam-4699	70	16	.	.	PUNCT
ejpam-4699	71	1	.	.	PUNCT
ejpam-4699	72	1	9	9	NUM
ejpam-4699	72	2	to	to	PART
ejpam-4699	72	3	calculate	calculate	VERB
ejpam-4699	72	4	the	the	DET
ejpam-4699	72	5	final	final	ADJ
ejpam-4699	72	6	weights	weight	NOUN
ejpam-4699	72	7	through	through	ADP
ejpam-4699	72	8	the	the	DET
ejpam-4699	72	9	(	(	PUNCT
ejpam-4699	72	10	tfn	tfn	NOUN
ejpam-4699	72	11	)	)	PUNCT
ejpam-4699	72	12	.	.	PUNCT
ejpam-4699	73	1	fuzzy	fuzzy	ADJ
ejpam-4699	73	2	weight	weight	NOUN
ejpam-4699	73	3	with	with	ADP
ejpam-4699	73	4	the	the	DET
ejpam-4699	73	5	others	other	NOUN
ejpam-4699	73	6	fuzzy	fuzzy	ADJ
ejpam-4699	73	7	and	and	CCONJ
ejpam-4699	73	8	we	we	PRON
ejpam-4699	73	9	used	use	VERB
ejpam-4699	73	10	the	the	DET
ejpam-4699	73	11	lower	low	ADJ
ejpam-4699	73	12	set	set	NOUN
ejpam-4699	73	13	of	of	ADP
ejpam-4699	73	14	this	this	DET
ejpam-4699	73	15	probability	probability	NOUN
ejpam-4699	73	16	(	(	PUNCT
ejpam-4699	73	17	possibility	possibility	NOUN
ejpam-4699	73	18	)	)	PUNCT
ejpam-4699	73	19	for	for	ADP
ejpam-4699	73	20	each	each	DET
ejpam-4699	73	21	scale	scale	NOUN
ejpam-4699	73	22	of	of	ADP
ejpam-4699	73	23	i	i	PRON
ejpam-4699	73	24	we	we	PRON
ejpam-4699	73	25	obtain	obtain	VERB
ejpam-4699	73	26	as	as	ADP
ejpam-4699	73	27	:	:	PUNCT
ejpam-4699	73	28	v	v	NUM
ejpam-4699	73	29	(	(	PUNCT
ejpam-4699	73	30	m2	m2	PROPN
ejpam-4699	73	31	≥	≥	PROPN
ejpam-4699	73	32	m1	m1	PROPN
ejpam-4699	73	33	)	)	PUNCT
ejpam-4699	74	1	=	=	SYM
ejpam-4699	74	2	hgt	hgt	PROPN
ejpam-4699	74	3	(	(	PUNCT
ejpam-4699	74	4	m1	m1	PROPN
ejpam-4699	74	5	∩m2	∩m2	PROPN
ejpam-4699	74	6	)	)	PUNCT
ejpam-4699	74	7	=	=	PUNCT
ejpam-4699	74	8	mm2(d	mm2(d	PROPN
ejpam-4699	74	9	)	)	PUNCT
ejpam-4699	74	10	=	=	SYM
ejpam-4699	75	1	1	1	NUM
ejpam-4699	75	2	1l	1l	NUM
ejpam-4699	75	3	m2	m2	PROPN
ejpam-4699	75	4	≥	≥	PROPN
ejpam-4699	75	5	m1	m1	PROPN
ejpam-4699	75	6	=	=	SYM
ejpam-4699	75	7	0	0	NUM
ejpam-4699	75	8	1l	1l	NUM
ejpam-4699	75	9	l1	l1	PROPN
ejpam-4699	75	10	≥	≥	PROPN
ejpam-4699	75	11	u2	u2	PROPN
ejpam-4699	75	12	l1	l1	PROPN
ejpam-4699	75	13	−	−	PROPN
ejpam-4699	75	14	u2	u2	PROPN
ejpam-4699	75	15	(	(	PUNCT
ejpam-4699	75	16	m2	m2	PROPN
ejpam-4699	75	17	−	−	PROPN
ejpam-4699	75	18	u2)−	u2)−	PROPN
ejpam-4699	75	19	(	(	PUNCT
ejpam-4699	75	20	m1	m1	PROPN
ejpam-4699	75	21	−	−	PROPN
ejpam-4699	75	22	l1	l1	PROPN
ejpam-4699	75	23	)	)	PUNCT
ejpam-4699	75	24	otherwise	otherwise	ADV
ejpam-4699	75	25	see	see	VERB
ejpam-4699	75	26	figure	figure	NOUN
ejpam-4699	75	27	(	(	PUNCT
ejpam-4699	75	28	2	2	NUM
ejpam-4699	75	29	):	):	PUNCT
ejpam-4699	75	30	g.	g.	PROPN
ejpam-4699	75	31	m.	m.	PROPN
ejpam-4699	75	32	dhaher	dhaher	PROPN
ejpam-4699	75	33	,	,	PUNCT
ejpam-4699	75	34	t	t	PROPN
ejpam-4699	75	35	:	:	PUNCT
ejpam-4699	75	36	h.	h.	PROPN
ejpam-4699	75	37	abdullah	abdullah	PROPN
ejpam-4699	75	38	,	,	PUNCT
ejpam-4699	75	39	g.	g.	PROPN
ejpam-4699	75	40	m.	m.	PROPN
ejpam-4699	75	41	algwauish	algwauish	PROPN
ejpam-4699	75	42	/	/	SYM
ejpam-4699	75	43	eur	eur	PROPN
ejpam-4699	75	44	.	.	PUNCT
ejpam-4699	76	1	j.	j.	PROPN
ejpam-4699	76	2	pure	pure	PROPN
ejpam-4699	76	3	appl	appl	PROPN
ejpam-4699	76	4	.	.	PROPN
ejpam-4699	76	5	math	math	PROPN
ejpam-4699	76	6	,	,	PUNCT
ejpam-4699	76	7	16	16	NUM
ejpam-4699	76	8	(	(	PUNCT
ejpam-4699	76	9	2	2	NUM
ejpam-4699	76	10	)	)	PUNCT
ejpam-4699	76	11	(	(	PUNCT
ejpam-4699	76	12	2023	2023	NUM
ejpam-4699	76	13	)	)	PUNCT
ejpam-4699	76	14	,	,	PUNCT
ejpam-4699	76	15	1084	1084	NUM
ejpam-4699	76	16	-	-	SYM
ejpam-4699	76	17	1093	1093	NUM
ejpam-4699	76	18	1090	1090	NUM
ejpam-4699	76	19	figure	figure	NOUN
ejpam-4699	76	20	2	2	NUM
ejpam-4699	76	21	:	:	PUNCT
ejpam-4699	76	22	degree	degree	NOUN
ejpam-4699	76	23	of	of	ADP
ejpam-4699	76	24	possibility	possibility	NOUN
ejpam-4699	76	25	.	.	PUNCT
ejpam-4699	77	1	we	we	PRON
ejpam-4699	77	2	note	note	VERB
ejpam-4699	77	3	the	the	DET
ejpam-4699	77	4	degree	degree	NOUN
ejpam-4699	77	5	of	of	ADP
ejpam-4699	77	6	the	the	DET
ejpam-4699	77	7	possibility	possibility	NOUN
ejpam-4699	77	8	of	of	ADP
ejpam-4699	77	9	the	the	DET
ejpam-4699	77	10	fuzzy	fuzzy	ADJ
ejpam-4699	77	11	number	number	NOUN
ejpam-4699	77	12	is	be	AUX
ejpam-4699	77	13	convex	convex	NOUN
ejpam-4699	77	14	,	,	PUNCT
ejpam-4699	77	15	and	and	CCONJ
ejpam-4699	77	16	it	it	PRON
ejpam-4699	77	17	is	be	AUX
ejpam-4699	77	18	given	give	VERB
ejpam-4699	77	19	as	as	ADP
ejpam-4699	77	20	:	:	PUNCT
ejpam-4699	77	21	v	v	NUM
ejpam-4699	77	22	(	(	PUNCT
ejpam-4699	77	23	m	m	NOUN
ejpam-4699	77	24	≥	≥	NOUN
ejpam-4699	77	25	m1,m2	m1,m2	PROPN
ejpam-4699	77	26	,	,	PUNCT
ejpam-4699	77	27	.	.	PUNCT
ejpam-4699	77	28	.	.	PUNCT
ejpam-4699	77	29	.	.	PUNCT
ejpam-4699	78	1	,	,	PUNCT
ejpam-4699	78	2	mk	mk	X
ejpam-4699	78	3	)	)	PUNCT
ejpam-4699	79	1	=	=	NOUN
ejpam-4699	79	2	v	v	X
ejpam-4699	79	3	(	(	PUNCT
ejpam-4699	79	4	m	m	PROPN
ejpam-4699	79	5	≥	≥	NOUN
ejpam-4699	79	6	m1	m1	NOUN
ejpam-4699	79	7	)	)	PUNCT
ejpam-4699	79	8	and	and	CCONJ
ejpam-4699	79	9	(	(	PUNCT
ejpam-4699	79	10	m	m	PROPN
ejpam-4699	79	11	≥	≥	NOUN
ejpam-4699	79	12	m2	m2	PROPN
ejpam-4699	79	13	)	)	PUNCT
ejpam-4699	79	14	,	,	PUNCT
ejpam-4699	79	15	.	.	PUNCT
ejpam-4699	79	16	.	.	PUNCT
ejpam-4699	79	17	.	.	PUNCT
ejpam-4699	79	18	.	.	PUNCT
ejpam-4699	79	19	,	,	PUNCT
ejpam-4699	79	20	(	(	PUNCT
ejpam-4699	79	21	m	m	NOUN
ejpam-4699	79	22	≥	≥	PROPN
ejpam-4699	79	23	mk	mk	X
ejpam-4699	79	24	)	)	PUNCT
ejpam-4699	79	25	=	=	SYM
ejpam-4699	79	26	min	min	PROPN
ejpam-4699	79	27	(	(	PUNCT
ejpam-4699	79	28	m	m	PROPN
ejpam-4699	79	29	≥	≥	PROPN
ejpam-4699	79	30	mi	mi	PROPN
ejpam-4699	79	31	)	)	PUNCT
ejpam-4699	79	32	,	,	PUNCT
ejpam-4699	79	33	i	i	PRON
ejpam-4699	79	34	̸=	̸=	PROPN
ejpam-4699	79	35	1	1	NUM
ejpam-4699	79	36	.	.	PUNCT
ejpam-4699	79	37	.	.	PUNCT
ejpam-4699	79	38	.	.	PUNCT
ejpam-4699	80	1	,	,	PUNCT
ejpam-4699	80	2	k	k	X
ejpam-4699	80	3	assuming	assume	VERB
ejpam-4699	80	4	w	w	PROPN
ejpam-4699	80	5	l	l	NOUN
ejpam-4699	80	6	i	i	PRON
ejpam-4699	80	7	=	=	PUNCT
ejpam-4699	80	8	minv	minv	PROPN
ejpam-4699	80	9	(	(	PUNCT
ejpam-4699	80	10	mi	mi	PROPN
ejpam-4699	80	11	≥	≥	PROPN
ejpam-4699	80	12	mk	mk	PROPN
ejpam-4699	80	13	)	)	PUNCT
ejpam-4699	80	14	the	the	DET
ejpam-4699	80	15	weight	weight	NOUN
ejpam-4699	80	16	value	value	NOUN
ejpam-4699	80	17	is	be	AUX
ejpam-4699	80	18	given	give	VERB
ejpam-4699	80	19	by	by	ADP
ejpam-4699	80	20	:	:	PUNCT
ejpam-4699	80	21	w	w	PROPN
ejpam-4699	80	22	l	l	NOUN
ejpam-4699	80	23	=	=	PUNCT
ejpam-4699	80	24	w	w	PROPN
ejpam-4699	80	25	l	l	NOUN
ejpam-4699	80	26	l	l	NOUN
ejpam-4699	80	27	,	,	PUNCT
ejpam-4699	80	28	w	w	PROPN
ejpam-4699	80	29	l	l	NOUN
ejpam-4699	80	30	2	2	NUM
ejpam-4699	80	31	,	,	PUNCT
ejpam-4699	80	32	.	.	PUNCT
ejpam-4699	80	33	.	.	PUNCT
ejpam-4699	80	34	.	.	PUNCT
ejpam-4699	81	1	,	,	PUNCT
ejpam-4699	81	2	w	w	NOUN
ejpam-4699	81	3	l	l	NOUN
ejpam-4699	81	4	n	n	PRON
ejpam-4699	81	5	step	step	NOUN
ejpam-4699	81	6	(	(	PUNCT
ejpam-4699	81	7	6	6	NUM
ejpam-4699	81	8	):	):	PUNCT
ejpam-4699	81	9	ranking	ranking	NOUN
ejpam-4699	81	10	and	and	CCONJ
ejpam-4699	81	11	selection	selection	NOUN
ejpam-4699	81	12	of	of	ADP
ejpam-4699	81	13	decision	decision	NOUN
ejpam-4699	81	14	after	after	ADP
ejpam-4699	81	15	using	use	VERB
ejpam-4699	81	16	the	the	DET
ejpam-4699	81	17	alternative	alternative	ADJ
ejpam-4699	81	18	value	value	NOUN
ejpam-4699	81	19	si	si	X
ejpam-4699	81	20	.	.	PROPN
ejpam-4699	81	21	si	si	PROPN
ejpam-4699	82	1	=	=	NOUN
ejpam-4699	82	2			NOUN
ejpam-4699	82	3	0.1727	0.1727	NUM
ejpam-4699	83	1	0.2446	0.2446	NUM
ejpam-4699	83	2	0.4336	0.4336	NUM
ejpam-4699	83	3	0.2732	0.2732	NUM
ejpam-4699	83	4	0.354	0.354	NUM
ejpam-4699	83	5	0.2668	0.2668	NUM
ejpam-4699	83	6	0.01988	0.01988	NUM
ejpam-4699	83	7	0.3109	0.3109	NUM
ejpam-4699	83	8	0.5447	0.5447	NUM
ejpam-4699	83	9	0.0779	0.0779	NUM
ejpam-4699	83	10	0.0903	0.0903	NUM
ejpam-4699	83	11	0.1390	0.1390	NUM
ejpam-4699	83	12			NOUN
ejpam-4699	83	13	where	where	SCONJ
ejpam-4699	83	14	si(i	si(i	PUNCT
ejpam-4699	83	15	=	=	SYM
ejpam-4699	83	16	1	1	NUM
ejpam-4699	83	17	,	,	PUNCT
ejpam-4699	83	18	2	2	NUM
ejpam-4699	83	19	,	,	PUNCT
ejpam-4699	83	20	.	.	PUNCT
ejpam-4699	83	21	.	.	PUNCT
ejpam-4699	84	1	.	.	PUNCT
ejpam-4699	85	1	,	,	PUNCT
ejpam-4699	85	2	n	n	CCONJ
ejpam-4699	85	3	)	)	PUNCT
ejpam-4699	85	4	is	be	AUX
ejpam-4699	85	5	n	n	PRON
ejpam-4699	85	6	elements	element	NOUN
ejpam-4699	85	7	of	of	ADP
ejpam-4699	85	8	the	the	DET
ejpam-4699	85	9	matrix	matrix	NOUN
ejpam-4699	85	10	.	.	PUNCT
ejpam-4699	86	1	also	also	ADV
ejpam-4699	86	2	,	,	PUNCT
ejpam-4699	86	3	we	we	PRON
ejpam-4699	86	4	get	get	VERB
ejpam-4699	86	5	the	the	DET
ejpam-4699	86	6	normalized	normalize	VERB
ejpam-4699	86	7	weights	weight	NOUN
ejpam-4699	86	8	vector	vector	NOUN
ejpam-4699	86	9	as	as	ADP
ejpam-4699	86	10	the	the	DET
ejpam-4699	86	11	following	following	NOUN
ejpam-4699	86	12	:	:	PUNCT
ejpam-4699	86	13	the	the	DET
ejpam-4699	86	14	vector	vector	NOUN
ejpam-4699	86	15	of	of	ADP
ejpam-4699	86	16	normalized	normalize	VERB
ejpam-4699	86	17	weights	weight	NOUN
ejpam-4699	86	18	is	be	AUX
ejpam-4699	86	19	:	:	PUNCT
ejpam-4699	86	20	w	w	X
ejpam-4699	86	21	=	=	SYM
ejpam-4699	86	22	(	(	PUNCT
ejpam-4699	86	23	d	d	X
ejpam-4699	86	24	(	(	PUNCT
ejpam-4699	86	25	a1	a1	PROPN
ejpam-4699	86	26	)	)	PUNCT
ejpam-4699	86	27	,	,	PUNCT
ejpam-4699	87	1	d	d	X
ejpam-4699	87	2	(	(	PUNCT
ejpam-4699	87	3	a2	a2	PROPN
ejpam-4699	87	4	)	)	PUNCT
ejpam-4699	87	5	,	,	PUNCT
ejpam-4699	87	6	.	.	PUNCT
ejpam-4699	87	7	.	.	PUNCT
ejpam-4699	87	8	.	.	PUNCT
ejpam-4699	88	1	,	,	PUNCT
ejpam-4699	88	2	d	d	X
ejpam-4699	88	3	(	(	PUNCT
ejpam-4699	88	4	an	an	NOUN
ejpam-4699	88	5	)	)	PUNCT
ejpam-4699	88	6	)	)	PUNCT
ejpam-4699	88	7	t	t	NOUN
ejpam-4699	88	8	,	,	PUNCT
ejpam-4699	88	9	(	(	PUNCT
ejpam-4699	88	10	9	9	X
ejpam-4699	88	11	)	)	PUNCT
ejpam-4699	88	12	where	where	SCONJ
ejpam-4699	88	13	w	w	NOUN
ejpam-4699	88	14	is	be	AUX
ejpam-4699	88	15	a	a	DET
ejpam-4699	88	16	non	non	ADJ
ejpam-4699	88	17	-	-	ADJ
ejpam-4699	88	18	fuzzy	fuzzy	ADJ
ejpam-4699	88	19	number	number	NOUN
ejpam-4699	88	20	,	,	PUNCT
ejpam-4699	88	21	we	we	PRON
ejpam-4699	88	22	can	can	AUX
ejpam-4699	88	23	be	be	AUX
ejpam-4699	88	24	getting	get	VERB
ejpam-4699	88	25	the	the	DET
ejpam-4699	88	26	final	final	ADJ
ejpam-4699	88	27	weights	weight	NOUN
ejpam-4699	88	28	of	of	ADP
ejpam-4699	88	29	each	each	DET
ejpam-4699	88	30	criterion	criterion	NOUN
ejpam-4699	88	31	by	by	ADP
ejpam-4699	88	32	multiplying	multiply	VERB
ejpam-4699	88	33	the	the	DET
ejpam-4699	88	34	criteria	criterion	NOUN
ejpam-4699	88	35	with	with	ADP
ejpam-4699	88	36	the	the	DET
ejpam-4699	88	37	matrix	matrix	NOUN
ejpam-4699	88	38	.	.	PUNCT
ejpam-4699	89	1	we	we	PRON
ejpam-4699	89	2	also	also	ADV
ejpam-4699	89	3	obtain	obtain	VERB
ejpam-4699	89	4	the	the	DET
ejpam-4699	89	5	matrix	matrix	NOUN
ejpam-4699	89	6	of	of	ADP
ejpam-4699	89	7	fuzzy	fuzzy	ADJ
ejpam-4699	89	8	written	write	VERB
ejpam-4699	89	9	as	as	ADP
ejpam-4699	89	10	:	:	PUNCT
ejpam-4699	89	11	references	reference	NOUN
ejpam-4699	89	12	1091	1091	NUM
ejpam-4699	89	13	fuzzy	fuzzy	ADJ
ejpam-4699	89	14	matrix	matrix	NOUN
ejpam-4699	89	15	then	then	ADV
ejpam-4699	89	16	the	the	DET
ejpam-4699	89	17	matrix	matrix	NOUN
ejpam-4699	89	18	of	of	ADP
ejpam-4699	89	19	v	v	NOUN
ejpam-4699	89	20	can	can	AUX
ejpam-4699	89	21	be	be	AUX
ejpam-4699	89	22	written	write	VERB
ejpam-4699	89	23	as	as	ADP
ejpam-4699	89	24	:	:	PUNCT
ejpam-4699	89	25	v	v	NUM
ejpam-4699	89	26	=	=	SYM
ejpam-4699	89	27			NOUN
ejpam-4699	89	28	0.5941	0.5941	NUM
ejpam-4699	89	29	1	1	NUM
ejpam-4699	89	30	1	1	NUM
ejpam-4699	89	31	0	0	NUM
ejpam-4699	89	32	0.7799	0.7799	NUM
ejpam-4699	89	33	1	1	NUM
ejpam-4699	89	34	0.8623	0.8623	NUM
ejpam-4699	89	35	0	0	NUM
ejpam-4699	89	36	1	1	NUM
ejpam-4699	89	37	1	1	NUM
ejpam-4699	89	38	1	1	NUM
ejpam-4699	89	39	0	0	NUM
ejpam-4699	89	40			NOUN
ejpam-4699	89	41	table	table	NOUN
ejpam-4699	89	42	6	6	NUM
ejpam-4699	89	43	:	:	PUNCT
ejpam-4699	89	44	calculation	calculation	NOUN
ejpam-4699	89	45	results	result	NOUN
ejpam-4699	89	46	of	of	ADP
ejpam-4699	89	47	criteria	criterion	NOUN
ejpam-4699	89	48	criteria	criteria	VERB
ejpam-4699	89	49	specific	specific	ADJ
ejpam-4699	89	50	gubi	gubi	NOUN
ejpam-4699	89	51	color	color	NOUN
ejpam-4699	89	52	clarity	clarity	NOUN
ejpam-4699	89	53	cleavage	cleavage	NOUN
ejpam-4699	89	54	hardness	hardness	NOUN
ejpam-4699	89	55	final	final	ADJ
ejpam-4699	89	56	weights	weight	NOUN
ejpam-4699	89	57	rubi	rubi	ADJ
ejpam-4699	89	58	1	1	NUM
ejpam-4699	89	59	0.5034	0.5034	NUM
ejpam-4699	89	60	0.421	0.421	NUM
ejpam-4699	89	61	0.3492	0.3492	NUM
ejpam-4699	89	62	0.3721	0.3721	NUM
ejpam-4699	89	63	0.25	0.25	NUM
ejpam-4699	89	64	0.5941	0.5941	NUM
ejpam-4699	89	65	rubi	rubi	ADJ
ejpam-4699	89	66	2	2	NUM
ejpam-4699	89	67	0.1806	0.1806	NUM
ejpam-4699	89	68	0.4966	0.4966	NUM
ejpam-4699	89	69	0.5681	0.5681	NUM
ejpam-4699	89	70	0.4819	0.4819	NUM
ejpam-4699	89	71	0.25	0.25	NUM
ejpam-4699	89	72	1	1	NUM
ejpam-4699	89	73	rubi	rubi	VERB
ejpam-4699	89	74	3	3	NUM
ejpam-4699	89	75	0.2913	0.2913	NUM
ejpam-4699	89	76	0.0457	0.0457	NUM
ejpam-4699	89	77	0.0822	0.0822	NUM
ejpam-4699	89	78	0.17	0.17	NUM
ejpam-4699	89	79	0.25	0.25	NUM
ejpam-4699	89	80	0.8623	0.8623	NUM
ejpam-4699	89	81	rubi	rubi	ADJ
ejpam-4699	89	82	4	4	NUM
ejpam-4699	89	83	0	0	NUM
ejpam-4699	89	84	0.0511	0.0511	NUM
ejpam-4699	89	85	0	0	NUM
ejpam-4699	89	86	0	0	NUM
ejpam-4699	89	87	0.25	0.25	NUM
ejpam-4699	89	88	0	0	NUM
ejpam-4699	90	1	rubi	rubi	VERB
ejpam-4699	90	2	5	5	NUM
ejpam-4699	90	3	0	0	NUM
ejpam-4699	90	4	0	0	NUM
ejpam-4699	90	5	0	0	NUM
ejpam-4699	90	6	0	0	NUM
ejpam-4699	90	7	0.25	0.25	NUM
ejpam-4699	90	8	0	0	NUM
ejpam-4699	90	9	sum	sum	NOUN
ejpam-4699	90	10	0.9753	0.9753	NUM
ejpam-4699	90	11	1.0144	1.0144	NUM
ejpam-4699	90	12	0.999	0.999	NUM
ejpam-4699	90	13	1.024	1.024	NUM
ejpam-4699	90	14	1.25	1.25	NUM
ejpam-4699	90	15	3	3	NUM
ejpam-4699	90	16	.	.	PUNCT
ejpam-4699	91	1	conclusions	conclusion	NOUN
ejpam-4699	91	2	this	this	DET
ejpam-4699	91	3	paper	paper	NOUN
ejpam-4699	91	4	summarizes	summarize	VERB
ejpam-4699	91	5	the	the	DET
ejpam-4699	91	6	criterion	criterion	NOUN
ejpam-4699	91	7	of	of	ADP
ejpam-4699	91	8	a	a	DET
ejpam-4699	91	9	system	system	NOUN
ejpam-4699	91	10	that	that	PRON
ejpam-4699	91	11	can	can	AUX
ejpam-4699	91	12	help	help	VERB
ejpam-4699	91	13	us	we	PRON
ejpam-4699	91	14	to	to	PART
ejpam-4699	91	15	choose	choose	VERB
ejpam-4699	91	16	and	and	CCONJ
ejpam-4699	91	17	evaluate	evaluate	VERB
ejpam-4699	91	18	the	the	DET
ejpam-4699	91	19	selection	selection	NOUN
ejpam-4699	91	20	of	of	ADP
ejpam-4699	91	21	high	high	ADJ
ejpam-4699	91	22	-	-	PUNCT
ejpam-4699	91	23	quality	quality	NOUN
ejpam-4699	91	24	gemstones	gemstone	NOUN
ejpam-4699	91	25	by	by	ADP
ejpam-4699	91	26	f	f	PROPN
ejpam-4699	91	27	-	-	PUNCT
ejpam-4699	91	28	ahp	ahp	NOUN
ejpam-4699	91	29	.	.	PUNCT
ejpam-4699	92	1	the	the	DET
ejpam-4699	92	2	accuracy	accuracy	NOUN
ejpam-4699	92	3	of	of	ADP
ejpam-4699	92	4	one	one	NUM
ejpam-4699	92	5	step	step	NOUN
ejpam-4699	92	6	is	be	AUX
ejpam-4699	92	7	shown	show	VERB
ejpam-4699	92	8	by	by	ADP
ejpam-4699	92	9	no	no	DET
ejpam-4699	92	10	error	error	NOUN
ejpam-4699	92	11	when	when	SCONJ
ejpam-4699	92	12	applying	apply	VERB
ejpam-4699	92	13	the	the	DET
ejpam-4699	92	14	method	method	NOUN
ejpam-4699	92	15	of	of	ADP
ejpam-4699	92	16	f	f	PROPN
ejpam-4699	92	17	-	-	PUNCT
ejpam-4699	92	18	ahp	ahp	PROPN
ejpam-4699	92	19	in	in	ADP
ejpam-4699	92	20	matlab	matlab	PROPN
ejpam-4699	92	21	language	language	NOUN
ejpam-4699	92	22	.	.	PUNCT
ejpam-4699	93	1	the	the	DET
ejpam-4699	93	2	model	model	NOUN
ejpam-4699	93	3	of	of	ADP
ejpam-4699	93	4	high	high	ADJ
ejpam-4699	93	5	-	-	PUNCT
ejpam-4699	93	6	quality	quality	NOUN
ejpam-4699	93	7	rubi	rubi	NOUN
ejpam-4699	93	8	2	2	NUM
ejpam-4699	93	9	with	with	ADP
ejpam-4699	93	10	a	a	DET
ejpam-4699	93	11	weight	weight	NOUN
ejpam-4699	93	12	equal	equal	ADJ
ejpam-4699	93	13	to	to	ADP
ejpam-4699	93	14	one	one	NUM
ejpam-4699	93	15	has	have	VERB
ejpam-4699	93	16	the	the	DET
ejpam-4699	93	17	optimal	optimal	ADJ
ejpam-4699	93	18	weight	weight	NOUN
ejpam-4699	93	19	by	by	ADP
ejpam-4699	93	20	comparing	compare	VERB
ejpam-4699	93	21	the	the	DET
ejpam-4699	93	22	standards	standard	NOUN
ejpam-4699	93	23	of	of	ADP
ejpam-4699	93	24	gemstones	gemstone	NOUN
ejpam-4699	93	25	.	.	PUNCT
ejpam-4699	94	1	while	while	SCONJ
ejpam-4699	94	2	the	the	DET
ejpam-4699	94	3	model	model	NOUN
ejpam-4699	94	4	of	of	ADP
ejpam-4699	94	5	high	high	ADJ
ejpam-4699	94	6	-	-	PUNCT
ejpam-4699	94	7	quality	quality	NOUN
ejpam-4699	94	8	rubi	rubi	NOUN
ejpam-4699	94	9	3	3	NUM
ejpam-4699	94	10	with	with	ADP
ejpam-4699	94	11	a	a	DET
ejpam-4699	94	12	weight	weight	NOUN
ejpam-4699	94	13	of	of	ADP
ejpam-4699	94	14	(	(	PUNCT
ejpam-4699	94	15	0.8623	0.8623	NUM
ejpam-4699	94	16	)	)	PUNCT
ejpam-4699	94	17	is	be	AUX
ejpam-4699	94	18	the	the	DET
ejpam-4699	94	19	second	second	ADJ
ejpam-4699	94	20	selection	selection	NOUN
ejpam-4699	94	21	and	and	CCONJ
ejpam-4699	94	22	the	the	DET
ejpam-4699	94	23	third	third	ADJ
ejpam-4699	94	24	is	be	AUX
ejpam-4699	94	25	rubi	rubi	ADJ
ejpam-4699	94	26	1	1	NUM
ejpam-4699	94	27	with	with	ADP
ejpam-4699	94	28	(	(	PUNCT
ejpam-4699	94	29	0.5941	0.5941	NUM
ejpam-4699	94	30	)	)	PUNCT
ejpam-4699	94	31	while	while	SCONJ
ejpam-4699	94	32	rubi	rubi	ADJ
ejpam-4699	94	33	4	4	NUM
ejpam-4699	94	34	,	,	PUNCT
ejpam-4699	94	35	and	and	CCONJ
ejpam-4699	94	36	rubi	rubi	NUM
ejpam-4699	94	37	5	5	NUM
ejpam-4699	94	38	have	have	VERB
ejpam-4699	94	39	weights	weight	NOUN
ejpam-4699	94	40	(	(	PUNCT
ejpam-4699	94	41	0	0	NUM
ejpam-4699	94	42	)	)	PUNCT
ejpam-4699	94	43	.	.	PUNCT
ejpam-4699	95	1	references	reference	NOUN
ejpam-4699	95	2	[	[	X
ejpam-4699	95	3	1	1	X
ejpam-4699	95	4	]	]	PUNCT
ejpam-4699	95	5	ali	ali	PROPN
ejpam-4699	95	6	hasan	hasan	PROPN
ejpam-4699	95	7	ali	ali	PROPN
ejpam-4699	95	8	,	,	PUNCT
ejpam-4699	95	9	ahmed	ahmed	PROPN
ejpam-4699	95	10	shawki	shawki	PROPN
ejpam-4699	95	11	jaber	jaber	PROPN
ejpam-4699	95	12	,	,	PUNCT
ejpam-4699	95	13	mustafa	mustafa	PROPN
ejpam-4699	95	14	t	t	PROPN
ejpam-4699	95	15	yaseen	yaseen	PROPN
ejpam-4699	95	16	,	,	PUNCT
ejpam-4699	95	17	mohammed	mohammed	PROPN
ejpam-4699	95	18	rasheed	rasheed	PROPN
ejpam-4699	95	19	,	,	PUNCT
ejpam-4699	95	20	omer	omer	PROPN
ejpam-4699	95	21	bazighifan	bazighifan	PROPN
ejpam-4699	95	22	,	,	PUNCT
ejpam-4699	95	23	and	and	CCONJ
ejpam-4699	95	24	taher	taher	DET
ejpam-4699	95	25	a	a	DET
ejpam-4699	95	26	nofal	nofal	NOUN
ejpam-4699	95	27	.	.	PUNCT
ejpam-4699	96	1	a	a	DET
ejpam-4699	96	2	comparison	comparison	NOUN
ejpam-4699	96	3	of	of	ADP
ejpam-4699	96	4	finite	finite	ADJ
ejpam-4699	96	5	difference	difference	NOUN
ejpam-4699	96	6	and	and	CCONJ
ejpam-4699	96	7	finite	finite	ADJ
ejpam-4699	96	8	volume	volume	NOUN
ejpam-4699	96	9	methods	method	NOUN
ejpam-4699	96	10	with	with	ADP
ejpam-4699	96	11	numerical	numerical	ADJ
ejpam-4699	96	12	simulations	simulation	NOUN
ejpam-4699	96	13	:	:	PUNCT
ejpam-4699	96	14	burgers	burger	NOUN
ejpam-4699	96	15	equation	equation	NOUN
ejpam-4699	96	16	model	model	NOUN
ejpam-4699	96	17	.	.	PUNCT
ejpam-4699	97	1	complexity	complexity	NOUN
ejpam-4699	97	2	,	,	PUNCT
ejpam-4699	97	3	2022	2022	NUM
ejpam-4699	97	4	,	,	PUNCT
ejpam-4699	97	5	2022	2022	NUM
ejpam-4699	97	6	.	.	PUNCT
ejpam-4699	98	1	[	[	X
ejpam-4699	98	2	2	2	X
ejpam-4699	98	3	]	]	X
ejpam-4699	98	4	md	md	PROPN
ejpam-4699	98	5	yasin	yasin	PROPN
ejpam-4699	98	6	ali	ali	PROPN
ejpam-4699	98	7	,	,	PUNCT
ejpam-4699	98	8	abeda	abeda	PROPN
ejpam-4699	98	9	sultana	sultana	NOUN
ejpam-4699	98	10	,	,	PUNCT
ejpam-4699	98	11	and	and	CCONJ
ejpam-4699	98	12	afmk	afmk	PROPN
ejpam-4699	98	13	khan	khan	PROPN
ejpam-4699	98	14	.	.	PUNCT
ejpam-4699	99	1	comparison	comparison	NOUN
ejpam-4699	99	2	of	of	ADP
ejpam-4699	99	3	fuzzy	fuzzy	ADJ
ejpam-4699	99	4	multiplication	multiplication	NOUN
ejpam-4699	99	5	operation	operation	NOUN
ejpam-4699	99	6	on	on	ADP
ejpam-4699	99	7	triangular	triangular	NOUN
ejpam-4699	99	8	fuzzy	fuzzy	ADJ
ejpam-4699	99	9	number	number	NOUN
ejpam-4699	99	10	.	.	PUNCT
ejpam-4699	100	1	iosr	iosr	ADJ
ejpam-4699	100	2	journal	journal	PROPN
ejpam-4699	100	3	of	of	ADP
ejpam-4699	100	4	mathematics	mathematic	NOUN
ejpam-4699	100	5	,	,	PUNCT
ejpam-4699	100	6	12(4	12(4	PROPN
ejpam-4699	100	7	-	-	PUNCT
ejpam-4699	100	8	i):35–41	i):35–41	NOUN
ejpam-4699	100	9	,	,	PUNCT
ejpam-4699	100	10	2016	2016	NUM
ejpam-4699	100	11	.	.	PUNCT
ejpam-4699	101	1	[	[	X
ejpam-4699	101	2	3	3	X
ejpam-4699	101	3	]	]	X
ejpam-4699	101	4	barakah	barakah	PROPN
ejpam-4699	101	5	almarri	almarri	PROPN
ejpam-4699	101	6	,	,	PUNCT
ejpam-4699	101	7	ali	ali	PROPN
ejpam-4699	101	8	hasan	hasan	PROPN
ejpam-4699	101	9	ali	ali	PROPN
ejpam-4699	101	10	,	,	PUNCT
ejpam-4699	101	11	antónio	antónio	PROPN
ejpam-4699	101	12	m	m	PROPN
ejpam-4699	101	13	lopes	lopes	PROPN
ejpam-4699	101	14	,	,	PUNCT
ejpam-4699	101	15	and	and	CCONJ
ejpam-4699	101	16	omar	omar	PROPN
ejpam-4699	101	17	bazighifan	bazighifan	PROPN
ejpam-4699	101	18	.	.	PUNCT
ejpam-4699	102	1	nonlinear	nonlinear	ADJ
ejpam-4699	102	2	differential	differential	ADJ
ejpam-4699	102	3	equations	equation	NOUN
ejpam-4699	102	4	with	with	ADP
ejpam-4699	102	5	distributed	distributed	ADJ
ejpam-4699	102	6	delay	delay	NOUN
ejpam-4699	102	7	:	:	PUNCT
ejpam-4699	102	8	some	some	DET
ejpam-4699	102	9	new	new	ADJ
ejpam-4699	102	10	oscillatory	oscillatory	ADJ
ejpam-4699	102	11	solutions	solution	NOUN
ejpam-4699	102	12	.	.	PUNCT
ejpam-4699	103	1	mathematics	mathematic	NOUN
ejpam-4699	103	2	,	,	PUNCT
ejpam-4699	103	3	10(6):995	10(6):995	NUM
ejpam-4699	103	4	,	,	PUNCT
ejpam-4699	103	5	2022	2022	NUM
ejpam-4699	103	6	.	.	PUNCT
ejpam-4699	104	1	references	reference	NOUN
ejpam-4699	104	2	1092	1092	NUM
ejpam-4699	104	3	[	[	X
ejpam-4699	104	4	4	4	X
ejpam-4699	104	5	]	]	PUNCT
ejpam-4699	104	6	fernanda	fernanda	PROPN
ejpam-4699	104	7	alves	alves	PROPN
ejpam-4699	104	8	de	de	PROPN
ejpam-4699	104	9	araújo	araújo	PROPN
ejpam-4699	104	10	,	,	PUNCT
ejpam-4699	104	11	joão	joão	PROPN
ejpam-4699	104	12	gilberto	gilberto	PROPN
ejpam-4699	104	13	mendes	mendes	PROPN
ejpam-4699	104	14	dos	do	VERB
ejpam-4699	104	15	reis	reis	NOUN
ejpam-4699	104	16	,	,	PUNCT
ejpam-4699	104	17	marcia	marcia	PROPN
ejpam-4699	104	18	terra	terra	VERB
ejpam-4699	104	19	da	da	PROPN
ejpam-4699	104	20	silva	silva	NOUN
ejpam-4699	104	21	,	,	PUNCT
ejpam-4699	104	22	and	and	CCONJ
ejpam-4699	104	23	emel	emel	PROPN
ejpam-4699	104	24	aktas	aktas	PROPN
ejpam-4699	104	25	.	.	PUNCT
ejpam-4699	105	1	a	a	DET
ejpam-4699	105	2	fuzzy	fuzzy	ADJ
ejpam-4699	105	3	analytic	analytic	ADJ
ejpam-4699	105	4	hierarchy	hierarchy	NOUN
ejpam-4699	105	5	process	process	NOUN
ejpam-4699	105	6	model	model	NOUN
ejpam-4699	105	7	to	to	PART
ejpam-4699	105	8	evaluate	evaluate	VERB
ejpam-4699	105	9	logistics	logistic	NOUN
ejpam-4699	105	10	service	service	NOUN
ejpam-4699	105	11	expectations	expectation	NOUN
ejpam-4699	105	12	and	and	CCONJ
ejpam-4699	105	13	delivery	delivery	NOUN
ejpam-4699	105	14	methods	method	NOUN
ejpam-4699	105	15	in	in	ADP
ejpam-4699	105	16	last	last	ADJ
ejpam-4699	105	17	-	-	PUNCT
ejpam-4699	105	18	mile	mile	NOUN
ejpam-4699	105	19	delivery	delivery	NOUN
ejpam-4699	105	20	in	in	ADP
ejpam-4699	105	21	brazil	brazil	PROPN
ejpam-4699	105	22	.	.	PUNCT
ejpam-4699	106	1	sustainability	sustainability	NOUN
ejpam-4699	106	2	,	,	PUNCT
ejpam-4699	106	3	14(10):5753	14(10):5753	NUM
ejpam-4699	106	4	,	,	PUNCT
ejpam-4699	106	5	2022	2022	NUM
ejpam-4699	106	6	.	.	PUNCT
ejpam-4699	107	1	[	[	X
ejpam-4699	107	2	5	5	NUM
ejpam-4699	107	3	]	]	X
ejpam-4699	107	4	uroosa	uroosa	PROPN
ejpam-4699	107	5	arshad	arshad	PROPN
ejpam-4699	107	6	,	,	PUNCT
ejpam-4699	107	7	mariam	mariam	PROPN
ejpam-4699	107	8	sultana	sultana	PROPN
ejpam-4699	107	9	,	,	PUNCT
ejpam-4699	107	10	ali	ali	PROPN
ejpam-4699	107	11	hasan	hasan	PROPN
ejpam-4699	107	12	ali	ali	PROPN
ejpam-4699	107	13	,	,	PUNCT
ejpam-4699	107	14	omar	omar	PROPN
ejpam-4699	107	15	bazighifan	bazighifan	PROPN
ejpam-4699	107	16	,	,	PUNCT
ejpam-4699	107	17	areej	areej	VERB
ejpam-4699	107	18	a	a	DET
ejpam-4699	107	19	al	al	PROPN
ejpam-4699	107	20	-	-	PUNCT
ejpam-4699	107	21	moneef	moneef	PROPN
ejpam-4699	107	22	,	,	PUNCT
ejpam-4699	107	23	and	and	CCONJ
ejpam-4699	107	24	kamsing	kamse	VERB
ejpam-4699	107	25	nonlaopon	nonlaopon	ADV
ejpam-4699	107	26	.	.	PUNCT
ejpam-4699	108	1	numerical	numerical	ADJ
ejpam-4699	108	2	solutions	solution	NOUN
ejpam-4699	108	3	of	of	ADP
ejpam-4699	108	4	fractional	fractional	ADJ
ejpam-4699	108	5	-	-	PUNCT
ejpam-4699	108	6	order	order	NOUN
ejpam-4699	108	7	electrical	electrical	ADJ
ejpam-4699	108	8	rlc	rlc	PROPN
ejpam-4699	108	9	circuit	circuit	PROPN
ejpam-4699	108	10	equations	equation	NOUN
ejpam-4699	108	11	via	via	ADP
ejpam-4699	108	12	three	three	NUM
ejpam-4699	108	13	numerical	numerical	ADJ
ejpam-4699	108	14	techniques	technique	NOUN
ejpam-4699	108	15	.	.	PUNCT
ejpam-4699	109	1	mathematics	mathematic	NOUN
ejpam-4699	109	2	,	,	PUNCT
ejpam-4699	109	3	10(17):3071	10(17):3071	NUM
ejpam-4699	109	4	,	,	PUNCT
ejpam-4699	109	5	2022	2022	NUM
ejpam-4699	109	6	.	.	PUNCT
ejpam-4699	110	1	[	[	X
ejpam-4699	110	2	6	6	NUM
ejpam-4699	110	3	]	]	X
ejpam-4699	110	4	omar	omar	PROPN
ejpam-4699	110	5	bazighifan	bazighifan	PROPN
ejpam-4699	110	6	,	,	PUNCT
ejpam-4699	110	7	ali	ali	PROPN
ejpam-4699	110	8	hasan	hasan	PROPN
ejpam-4699	110	9	ali	ali	PROPN
ejpam-4699	110	10	,	,	PUNCT
ejpam-4699	110	11	fatemah	fatemah	NOUN
ejpam-4699	110	12	mofarreh	mofarreh	NOUN
ejpam-4699	110	13	,	,	PUNCT
ejpam-4699	110	14	and	and	CCONJ
ejpam-4699	110	15	youssef	youssef	PROPN
ejpam-4699	110	16	n	n	PRON
ejpam-4699	110	17	raffoul	raffoul	PROPN
ejpam-4699	110	18	.	.	PROPN
ejpam-4699	110	19	extended	extend	VERB
ejpam-4699	110	20	approach	approach	NOUN
ejpam-4699	110	21	to	to	ADP
ejpam-4699	110	22	the	the	DET
ejpam-4699	110	23	asymptotic	asymptotic	ADJ
ejpam-4699	110	24	behavior	behavior	NOUN
ejpam-4699	110	25	and	and	CCONJ
ejpam-4699	110	26	symmetric	symmetric	ADJ
ejpam-4699	110	27	solutions	solution	NOUN
ejpam-4699	110	28	of	of	ADP
ejpam-4699	110	29	advanced	advanced	ADJ
ejpam-4699	110	30	differential	differential	ADJ
ejpam-4699	110	31	equations	equation	NOUN
ejpam-4699	110	32	.	.	PUNCT
ejpam-4699	111	1	symmetry	symmetry	NOUN
ejpam-4699	111	2	,	,	PUNCT
ejpam-4699	111	3	14(4):686	14(4):686	NUM
ejpam-4699	111	4	,	,	PUNCT
ejpam-4699	111	5	2022	2022	NUM
ejpam-4699	111	6	.	.	PUNCT
ejpam-4699	112	1	[	[	X
ejpam-4699	112	2	7	7	NUM
ejpam-4699	112	3	]	]	X
ejpam-4699	112	4	lilane	lilane	PROPN
ejpam-4699	112	5	brandao	brandao	PROPN
ejpam-4699	112	6	,	,	PUNCT
ejpam-4699	112	7	irenilza	irenilza	ADP
ejpam-4699	112	8	de	de	PROPN
ejpam-4699	112	9	alencar	alencar	PROPN
ejpam-4699	112	10	naas	naas	PROPN
ejpam-4699	112	11	,	,	PUNCT
ejpam-4699	112	12	and	and	CCONJ
ejpam-4699	112	13	pedro	pedro	PROPN
ejpam-4699	112	14	luiz	luiz	PROPN
ejpam-4699	112	15	de	de	PROPN
ejpam-4699	112	16	oliveira	oliveira	PROPN
ejpam-4699	112	17	costa	costa	PROPN
ejpam-4699	112	18	neto	neto	PROPN
ejpam-4699	112	19	.	.	PUNCT
ejpam-4699	113	1	sustainable	sustainable	ADJ
ejpam-4699	113	2	development	development	NOUN
ejpam-4699	113	3	of	of	ADP
ejpam-4699	113	4	gem	gem	NOUN
ejpam-4699	113	5	prediction	prediction	NOUN
ejpam-4699	113	6	:	:	PUNCT
ejpam-4699	113	7	an	an	DET
ejpam-4699	113	8	application	application	NOUN
ejpam-4699	113	9	of	of	ADP
ejpam-4699	113	10	the	the	DET
ejpam-4699	113	11	analytical	analytical	ADJ
ejpam-4699	113	12	hierarchy	hierarchy	NOUN
ejpam-4699	113	13	process	process	NOUN
ejpam-4699	113	14	.	.	PUNCT
ejpam-4699	114	1	international	international	ADJ
ejpam-4699	114	2	journal	journal	NOUN
ejpam-4699	114	3	of	of	ADP
ejpam-4699	114	4	the	the	DET
ejpam-4699	114	5	analytic	analytic	ADJ
ejpam-4699	114	6	hierarchy	hierarchy	NOUN
ejpam-4699	114	7	process	process	NOUN
ejpam-4699	114	8	publishing	publish	VERB
ejpam-4699	114	9	home	home	NOUN
ejpam-4699	114	10	,	,	PUNCT
ejpam-4699	114	11	13(3):483–509	13(3):483–509	NOUN
ejpam-4699	114	12	,	,	PUNCT
ejpam-4699	114	13	2021	2021	NUM
ejpam-4699	114	14	.	.	PUNCT
ejpam-4699	115	1	[	[	X
ejpam-4699	115	2	8	8	NUM
ejpam-4699	115	3	]	]	X
ejpam-4699	115	4	lucian	lucian	PROPN
ejpam-4699	115	5	coroianu	coroianu	PROPN
ejpam-4699	115	6	,	,	PUNCT
ejpam-4699	115	7	marek	marek	PROPN
ejpam-4699	115	8	gagolewski	gagolewski	PROPN
ejpam-4699	115	9	,	,	PUNCT
ejpam-4699	115	10	and	and	CCONJ
ejpam-4699	115	11	przemyslaw	przemyslaw	NOUN
ejpam-4699	115	12	grzegorzewski	grzegorzewski	PROPN
ejpam-4699	115	13	.	.	PUNCT
ejpam-4699	116	1	piecewise	piecewise	PROPN
ejpam-4699	116	2	linear	linear	PROPN
ejpam-4699	116	3	approximation	approximation	NOUN
ejpam-4699	116	4	of	of	ADP
ejpam-4699	116	5	fuzzy	fuzzy	ADJ
ejpam-4699	116	6	numbers	number	NOUN
ejpam-4699	116	7	:	:	PUNCT
ejpam-4699	116	8	algorithms	algorithm	NOUN
ejpam-4699	116	9	,	,	PUNCT
ejpam-4699	116	10	arithmetic	arithmetic	ADJ
ejpam-4699	116	11	operations	operation	NOUN
ejpam-4699	116	12	and	and	CCONJ
ejpam-4699	116	13	stability	stability	NOUN
ejpam-4699	116	14	of	of	ADP
ejpam-4699	116	15	characteristics	characteristic	NOUN
ejpam-4699	116	16	.	.	PUNCT
ejpam-4699	117	1	soft	soft	ADJ
ejpam-4699	117	2	computing	computing	NOUN
ejpam-4699	117	3	,	,	PUNCT
ejpam-4699	117	4	23(19):9491–9505	23(19):9491–9505	NUM
ejpam-4699	117	5	,	,	PUNCT
ejpam-4699	117	6	2019	2019	NUM
ejpam-4699	117	7	.	.	PUNCT
ejpam-4699	118	1	[	[	X
ejpam-4699	118	2	9	9	NUM
ejpam-4699	118	3	]	]	X
ejpam-4699	118	4	sarim	sarim	NOUN
ejpam-4699	118	5	h	h	PROPN
ejpam-4699	118	6	hadi	hadi	PROPN
ejpam-4699	118	7	and	and	CCONJ
ejpam-4699	118	8	ali	ali	PROPN
ejpam-4699	118	9	hasan	hasan	PROPN
ejpam-4699	118	10	ali	ali	PROPN
ejpam-4699	118	11	.	.	PROPN
ejpam-4699	118	12	integrable	integrable	ADJ
ejpam-4699	118	13	functions	function	NOUN
ejpam-4699	118	14	of	of	ADP
ejpam-4699	118	15	fuzzy	fuzzy	ADJ
ejpam-4699	118	16	cone	cone	NOUN
ejpam-4699	118	17	and	and	CCONJ
ejpam-4699	118	18	ξ	ξ	NOUN
ejpam-4699	118	19	-	-	ADJ
ejpam-4699	118	20	fuzzy	fuzzy	ADJ
ejpam-4699	118	21	cone	cone	NOUN
ejpam-4699	118	22	and	and	CCONJ
ejpam-4699	118	23	their	their	PRON
ejpam-4699	118	24	application	application	NOUN
ejpam-4699	118	25	in	in	ADP
ejpam-4699	118	26	the	the	DET
ejpam-4699	118	27	fixed	fix	VERB
ejpam-4699	118	28	point	point	NOUN
ejpam-4699	118	29	theorem	theorem	VERB
ejpam-4699	118	30	.	.	PROPN
ejpam-4699	118	31	journal	journal	PROPN
ejpam-4699	118	32	of	of	ADP
ejpam-4699	118	33	interdisciplinary	interdisciplinary	ADJ
ejpam-4699	118	34	mathematics	mathematic	NOUN
ejpam-4699	118	35	,	,	PUNCT
ejpam-4699	118	36	25(2):247–258	25(2):247–258	PROPN
ejpam-4699	118	37	,	,	PUNCT
ejpam-4699	118	38	2022	2022	NUM
ejpam-4699	118	39	.	.	PUNCT
ejpam-4699	119	1	[	[	X
ejpam-4699	119	2	10	10	NUM
ejpam-4699	119	3	]	]	X
ejpam-4699	119	4	chao	chao	PROPN
ejpam-4699	119	5	-	-	PUNCT
ejpam-4699	119	6	ming	ming	PROPN
ejpam-4699	119	7	hwang	hwang	PROPN
ejpam-4699	119	8	,	,	PUNCT
ejpam-4699	119	9	miin	miin	PROPN
ejpam-4699	119	10	-	-	PUNCT
ejpam-4699	119	11	shen	shen	PROPN
ejpam-4699	119	12	yang	yang	PROPN
ejpam-4699	119	13	,	,	PUNCT
ejpam-4699	119	14	and	and	CCONJ
ejpam-4699	119	15	wen	wen	PROPN
ejpam-4699	119	16	-	-	PROPN
ejpam-4699	119	17	liang	liang	PROPN
ejpam-4699	119	18	hung	hung	PROPN
ejpam-4699	119	19	.	.	PUNCT
ejpam-4699	120	1	on	on	ADP
ejpam-4699	120	2	similarity	similarity	NOUN
ejpam-4699	120	3	,	,	PUNCT
ejpam-4699	120	4	inclusion	inclusion	NOUN
ejpam-4699	120	5	measure	measure	NOUN
ejpam-4699	120	6	and	and	CCONJ
ejpam-4699	120	7	entropy	entropy	NOUN
ejpam-4699	120	8	between	between	ADP
ejpam-4699	120	9	type-2	type-2	NUM
ejpam-4699	120	10	fuzzy	fuzzy	ADJ
ejpam-4699	120	11	sets	set	NOUN
ejpam-4699	120	12	.	.	PUNCT
ejpam-4699	121	1	international	international	ADJ
ejpam-4699	121	2	journal	journal	NOUN
ejpam-4699	121	3	of	of	ADP
ejpam-4699	121	4	uncertainty	uncertainty	NOUN
ejpam-4699	121	5	,	,	PUNCT
ejpam-4699	121	6	fuzziness	fuzziness	NOUN
ejpam-4699	121	7	and	and	CCONJ
ejpam-4699	121	8	knowledge	knowledge	NOUN
ejpam-4699	121	9	-	-	PUNCT
ejpam-4699	121	10	based	base	VERB
ejpam-4699	121	11	systems	system	NOUN
ejpam-4699	121	12	,	,	PUNCT
ejpam-4699	121	13	20(03):433–449	20(03):433–449	NUM
ejpam-4699	121	14	,	,	PUNCT
ejpam-4699	121	15	2012	2012	NUM
ejpam-4699	121	16	.	.	PUNCT
ejpam-4699	122	1	[	[	X
ejpam-4699	122	2	11	11	NUM
ejpam-4699	122	3	]	]	X
ejpam-4699	122	4	g	g	PROPN
ejpam-4699	122	5	jayalalitha	jayalalitha	PROPN
ejpam-4699	122	6	and	and	CCONJ
ejpam-4699	122	7	t	t	PROPN
ejpam-4699	122	8	sudha	sudha	PROPN
ejpam-4699	122	9	.	.	PUNCT
ejpam-4699	123	1	analysis	analysis	NOUN
ejpam-4699	123	2	of	of	ADP
ejpam-4699	123	3	diabetes	diabetes	NOUN
ejpam-4699	123	4	based	base	VERB
ejpam-4699	123	5	on	on	ADP
ejpam-4699	123	6	fuzzy	fuzzy	ADJ
ejpam-4699	123	7	fractals	fractal	NOUN
ejpam-4699	123	8	.	.	PUNCT
ejpam-4699	124	1	international	international	ADJ
ejpam-4699	124	2	journal	journal	NOUN
ejpam-4699	124	3	of	of	ADP
ejpam-4699	124	4	recent	recent	ADJ
ejpam-4699	124	5	technology	technology	NOUN
ejpam-4699	124	6	and	and	CCONJ
ejpam-4699	124	7	engineering	engineering	NOUN
ejpam-4699	124	8	,	,	PUNCT
ejpam-4699	124	9	7:653–658	7:653–658	NOUN
ejpam-4699	124	10	,	,	PUNCT
ejpam-4699	124	11	2019	2019	NUM
ejpam-4699	124	12	.	.	PUNCT
ejpam-4699	125	1	[	[	X
ejpam-4699	125	2	12	12	NUM
ejpam-4699	125	3	]	]	PUNCT
ejpam-4699	125	4	a	a	DET
ejpam-4699	125	5	karpagam	karpagam	NOUN
ejpam-4699	125	6	and	and	CCONJ
ejpam-4699	125	7	p	p	NOUN
ejpam-4699	125	8	sumathi	sumathi	ADV
ejpam-4699	125	9	.	.	PUNCT
ejpam-4699	126	1	new	new	ADJ
ejpam-4699	126	2	approach	approach	NOUN
ejpam-4699	126	3	to	to	PART
ejpam-4699	126	4	solve	solve	VERB
ejpam-4699	126	5	fuzzy	fuzzy	ADJ
ejpam-4699	126	6	linear	linear	ADJ
ejpam-4699	126	7	programming	programming	NOUN
ejpam-4699	126	8	problems	problem	NOUN
ejpam-4699	126	9	by	by	ADP
ejpam-4699	126	10	the	the	DET
ejpam-4699	126	11	ranking	rank	VERB
ejpam-4699	126	12	function	function	NOUN
ejpam-4699	126	13	.	.	PUNCT
ejpam-4699	127	1	bonfring	bonfre	VERB
ejpam-4699	127	2	international	international	ADJ
ejpam-4699	127	3	journal	journal	PROPN
ejpam-4699	127	4	of	of	ADP
ejpam-4699	127	5	data	data	PROPN
ejpam-4699	127	6	mining	mining	NOUN
ejpam-4699	127	7	,	,	PUNCT
ejpam-4699	127	8	4(4):22–25	4(4):22–25	NUM
ejpam-4699	127	9	,	,	PUNCT
ejpam-4699	127	10	2014	2014	NUM
ejpam-4699	127	11	.	.	PUNCT
ejpam-4699	128	1	[	[	X
ejpam-4699	128	2	13	13	NUM
ejpam-4699	128	3	]	]	PUNCT
ejpam-4699	128	4	fareeha	fareeha	PROPN
ejpam-4699	128	5	sami	sami	PROPN
ejpam-4699	128	6	khan	khan	PROPN
ejpam-4699	128	7	,	,	PUNCT
ejpam-4699	128	8	m	m	PROPN
ejpam-4699	128	9	khalid	khalid	PROPN
ejpam-4699	128	10	,	,	PUNCT
ejpam-4699	128	11	areej	areej	VERB
ejpam-4699	128	12	a	a	DET
ejpam-4699	128	13	al	al	PROPN
ejpam-4699	128	14	-	-	PUNCT
ejpam-4699	128	15	moneef	moneef	PROPN
ejpam-4699	128	16	,	,	PUNCT
ejpam-4699	128	17	ali	ali	PROPN
ejpam-4699	128	18	hasan	hasan	PROPN
ejpam-4699	128	19	ali	ali	PROPN
ejpam-4699	128	20	,	,	PUNCT
ejpam-4699	128	21	and	and	CCONJ
ejpam-4699	128	22	omar	omar	PROPN
ejpam-4699	128	23	bazighifan	bazighifan	PROPN
ejpam-4699	128	24	.	.	PUNCT
ejpam-4699	129	1	freelance	freelance	NOUN
ejpam-4699	129	2	model	model	NOUN
ejpam-4699	129	3	with	with	ADP
ejpam-4699	129	4	atangana	atangana	PROPN
ejpam-4699	129	5	–	–	PUNCT
ejpam-4699	129	6	baleanu	baleanu	PROPN
ejpam-4699	129	7	caputo	caputo	PROPN
ejpam-4699	129	8	fractional	fractional	PROPN
ejpam-4699	129	9	derivative	derivative	PROPN
ejpam-4699	129	10	.	.	PUNCT
ejpam-4699	130	1	symmetry	symmetry	PROPN
ejpam-4699	130	2	,	,	PUNCT
ejpam-4699	130	3	14(11):2424	14(11):2424	NUM
ejpam-4699	130	4	,	,	PUNCT
ejpam-4699	130	5	2022	2022	NUM
ejpam-4699	130	6	.	.	PUNCT
ejpam-4699	131	1	[	[	X
ejpam-4699	131	2	14	14	NUM
ejpam-4699	131	3	]	]	SYM
ejpam-4699	131	4	v	v	ADP
ejpam-4699	131	5	madhuri	madhuri	PROPN
ejpam-4699	131	6	,	,	PUNCT
ejpam-4699	131	7	omar	omar	PROPN
ejpam-4699	131	8	bazighifan	bazighifan	PROPN
ejpam-4699	131	9	,	,	PUNCT
ejpam-4699	131	10	ali	ali	PROPN
ejpam-4699	131	11	hasan	hasan	PROPN
ejpam-4699	131	12	ali	ali	PROPN
ejpam-4699	131	13	,	,	PUNCT
ejpam-4699	131	14	and	and	CCONJ
ejpam-4699	131	15	a	a	DET
ejpam-4699	131	16	el	el	PROPN
ejpam-4699	131	17	-	-	NOUN
ejpam-4699	131	18	mesady	mesady	PROPN
ejpam-4699	131	19	.	.	PUNCT
ejpam-4699	132	1	on	on	ADP
ejpam-4699	132	2	fuzzy	fuzzy	ADJ
ejpam-4699	132	3	-	-	PUNCT
ejpam-4699	132	4	simply	simply	ADV
ejpam-4699	132	5	connected	connected	ADJ
ejpam-4699	132	6	spaces	space	NOUN
ejpam-4699	132	7	in	in	ADP
ejpam-4699	132	8	fuzzy	fuzzy	ADJ
ejpam-4699	132	9	-	-	PUNCT
ejpam-4699	132	10	homotopy	homotopy	NOUN
ejpam-4699	132	11	.	.	PUNCT
ejpam-4699	133	1	journal	journal	PROPN
ejpam-4699	133	2	of	of	ADP
ejpam-4699	133	3	function	function	NOUN
ejpam-4699	133	4	spaces	space	NOUN
ejpam-4699	133	5	,	,	PUNCT
ejpam-4699	133	6	2022	2022	NUM
ejpam-4699	133	7	,	,	PUNCT
ejpam-4699	133	8	2022	2022	NUM
ejpam-4699	133	9	.	.	PUNCT
ejpam-4699	134	1	[	[	X
ejpam-4699	134	2	15	15	NUM
ejpam-4699	134	3	]	]	X
ejpam-4699	134	4	jecksin	jecksin	NOUN
ejpam-4699	134	5	ooi	ooi	PROPN
ejpam-4699	134	6	,	,	PUNCT
ejpam-4699	134	7	michael	michael	PROPN
ejpam-4699	134	8	angelo	angelo	PROPN
ejpam-4699	134	9	b	b	PROPN
ejpam-4699	134	10	promentilla	promentilla	PROPN
ejpam-4699	134	11	,	,	PUNCT
ejpam-4699	134	12	raymond	raymond	PROPN
ejpam-4699	134	13	r	r	PROPN
ejpam-4699	134	14	tan	tan	PROPN
ejpam-4699	134	15	,	,	PUNCT
ejpam-4699	134	16	denny	denny	PROPN
ejpam-4699	134	17	ks	ks	PROPN
ejpam-4699	134	18	ng	ng	PROPN
ejpam-4699	134	19	,	,	PUNCT
ejpam-4699	134	20	and	and	CCONJ
ejpam-4699	134	21	nishanth	nishanth	PROPN
ejpam-4699	134	22	g	g	PROPN
ejpam-4699	134	23	chemmangattuvalappil	chemmangattuvalappil	PROPN
ejpam-4699	134	24	.	.	PUNCT
ejpam-4699	135	1	integration	integration	NOUN
ejpam-4699	135	2	of	of	ADP
ejpam-4699	135	3	fuzzy	fuzzy	ADJ
ejpam-4699	135	4	analytic	analytic	ADJ
ejpam-4699	135	5	hierarchy	hierarchy	NOUN
ejpam-4699	135	6	process	process	NOUN
ejpam-4699	135	7	into	into	ADP
ejpam-4699	135	8	multi	multi	ADJ
ejpam-4699	135	9	-	-	ADJ
ejpam-4699	135	10	objective	objective	ADJ
ejpam-4699	135	11	computer	computer	NOUN
ejpam-4699	135	12	aided	aid	VERB
ejpam-4699	135	13	molecular	molecular	ADJ
ejpam-4699	135	14	design	design	NOUN
ejpam-4699	135	15	.	.	PUNCT
ejpam-4699	136	1	computers	computer	NOUN
ejpam-4699	136	2	&	&	CCONJ
ejpam-4699	136	3	chemical	chemical	PROPN
ejpam-4699	136	4	engineering	engineering	PROPN
ejpam-4699	136	5	,	,	PUNCT
ejpam-4699	136	6	109:191–202	109:191–202	NUM
ejpam-4699	136	7	,	,	PUNCT
ejpam-4699	136	8	2018	2018	NUM
ejpam-4699	136	9	.	.	PUNCT
ejpam-4699	137	1	references	reference	NOUN
ejpam-4699	137	2	1093	1093	NUM
ejpam-4699	137	3	[	[	X
ejpam-4699	137	4	16	16	NUM
ejpam-4699	137	5	]	]	X
ejpam-4699	137	6	dwi	dwi	PROPN
ejpam-4699	137	7	putra	putra	PROPN
ejpam-4699	137	8	,	,	PUNCT
ejpam-4699	137	9	mochammad	mochammad	PROPN
ejpam-4699	137	10	sobandi	sobandi	PROPN
ejpam-4699	137	11	,	,	PUNCT
ejpam-4699	137	12	septi	septi	PROPN
ejpam-4699	137	13	andryana	andryana	PROPN
ejpam-4699	137	14	,	,	PUNCT
ejpam-4699	137	15	aris	aris	PROPN
ejpam-4699	137	16	gunaryati	gunaryati	PROPN
ejpam-4699	137	17	,	,	PUNCT
ejpam-4699	137	18	et	et	PROPN
ejpam-4699	137	19	al	al	PROPN
ejpam-4699	137	20	.	.	PROPN
ejpam-4699	138	1	fuzzy	fuzzy	ADJ
ejpam-4699	138	2	analytical	analytical	ADJ
ejpam-4699	138	3	hierarchy	hierarchy	NOUN
ejpam-4699	138	4	process	process	NOUN
ejpam-4699	138	5	method	method	NOUN
ejpam-4699	138	6	to	to	PART
ejpam-4699	138	7	determine	determine	VERB
ejpam-4699	138	8	the	the	DET
ejpam-4699	138	9	quality	quality	NOUN
ejpam-4699	138	10	of	of	ADP
ejpam-4699	138	11	gemstones	gemstone	NOUN
ejpam-4699	138	12	.	.	PUNCT
ejpam-4699	139	1	advances	advance	NOUN
ejpam-4699	139	2	in	in	ADP
ejpam-4699	139	3	fuzzy	fuzzy	ADJ
ejpam-4699	139	4	systems	system	NOUN
ejpam-4699	139	5	,	,	PUNCT
ejpam-4699	139	6	2018	2018	NUM
ejpam-4699	139	7	,	,	PUNCT
ejpam-4699	139	8	2018	2018	NUM
ejpam-4699	139	9	.	.	PUNCT
ejpam-4699	140	1	[	[	X
ejpam-4699	140	2	17	17	NUM
ejpam-4699	140	3	]	]	PUNCT
ejpam-4699	140	4	belgees	belgee	NOUN
ejpam-4699	140	5	qaraad	qaraad	VERB
ejpam-4699	140	6	,	,	PUNCT
ejpam-4699	140	7	omar	omar	PROPN
ejpam-4699	140	8	bazighifan	bazighifan	PROPN
ejpam-4699	140	9	,	,	PUNCT
ejpam-4699	140	10	ali	ali	PROPN
ejpam-4699	140	11	hasan	hasan	PROPN
ejpam-4699	140	12	ali	ali	PROPN
ejpam-4699	140	13	,	,	PUNCT
ejpam-4699	140	14	areej	areej	VERB
ejpam-4699	140	15	a	a	DET
ejpam-4699	140	16	al	al	PROPN
ejpam-4699	140	17	-	-	PUNCT
ejpam-4699	140	18	moneef	moneef	PROPN
ejpam-4699	140	19	,	,	PUNCT
ejpam-4699	140	20	awatif	awatif	PROPN
ejpam-4699	140	21	jahman	jahman	PROPN
ejpam-4699	140	22	alqarni	alqarni	PROPN
ejpam-4699	140	23	,	,	PUNCT
ejpam-4699	140	24	and	and	CCONJ
ejpam-4699	140	25	kamsing	kamse	VERB
ejpam-4699	140	26	nonlaopon	nonlaopon	ADV
ejpam-4699	140	27	.	.	PUNCT
ejpam-4699	141	1	oscillation	oscillation	NOUN
ejpam-4699	141	2	results	result	NOUN
ejpam-4699	141	3	of	of	ADP
ejpam-4699	141	4	third	third	ADJ
ejpam-4699	141	5	-	-	PUNCT
ejpam-4699	141	6	order	order	NOUN
ejpam-4699	141	7	differential	differential	ADJ
ejpam-4699	141	8	equations	equation	NOUN
ejpam-4699	141	9	with	with	ADP
ejpam-4699	141	10	symmetrical	symmetrical	ADJ
ejpam-4699	141	11	distributed	distribute	VERB
ejpam-4699	141	12	arguments	argument	NOUN
ejpam-4699	141	13	.	.	PUNCT
ejpam-4699	142	1	symmetry	symmetry	NOUN
ejpam-4699	142	2	,	,	PUNCT
ejpam-4699	142	3	14(10):2038	14(10):2038	NUM
ejpam-4699	142	4	,	,	PUNCT
ejpam-4699	142	5	2022	2022	NUM
ejpam-4699	142	6	.	.	PUNCT
ejpam-4699	143	1	[	[	X
ejpam-4699	143	2	18	18	NUM
ejpam-4699	143	3	]	]	X
ejpam-4699	143	4	soheil	soheil	NOUN
ejpam-4699	143	5	sadi	sadi	NOUN
ejpam-4699	143	6	-	-	PUNCT
ejpam-4699	143	7	nezhad	nezhad	VERB
ejpam-4699	143	8	,	,	PUNCT
ejpam-4699	143	9	ameneh	ameneh	PROPN
ejpam-4699	143	10	noroozi	noroozi	PROPN
ejpam-4699	143	11	-	-	PUNCT
ejpam-4699	143	12	yadak	yadak	PROPN
ejpam-4699	143	13	,	,	PUNCT
ejpam-4699	143	14	and	and	CCONJ
ejpam-4699	143	15	ahmad	ahmad	PROPN
ejpam-4699	143	16	makui	makui	PROPN
ejpam-4699	143	17	.	.	PUNCT
ejpam-4699	144	1	fuzzy	fuzzy	ADJ
ejpam-4699	144	2	distance	distance	NOUN
ejpam-4699	144	3	of	of	ADP
ejpam-4699	144	4	triangular	triangular	ADJ
ejpam-4699	144	5	fuzzy	fuzzy	ADJ
ejpam-4699	144	6	numbers	number	NOUN
ejpam-4699	144	7	.	.	PUNCT
ejpam-4699	145	1	journal	journal	NOUN
ejpam-4699	145	2	of	of	ADP
ejpam-4699	145	3	intelligent	intelligent	ADJ
ejpam-4699	145	4	&	&	CCONJ
ejpam-4699	145	5	fuzzy	fuzzy	ADJ
ejpam-4699	145	6	systems	system	NOUN
ejpam-4699	145	7	,	,	PUNCT
ejpam-4699	145	8	25(4):845–852	25(4):845–852	NUM
ejpam-4699	145	9	,	,	PUNCT
ejpam-4699	145	10	2013	2013	NUM
ejpam-4699	145	11	.	.	PUNCT
ejpam-4699	146	1	[	[	X
ejpam-4699	146	2	19	19	NUM
ejpam-4699	146	3	]	]	X
ejpam-4699	146	4	ls	ls	PROPN
ejpam-4699	146	5	senthilkumar	senthilkumar	PROPN
ejpam-4699	146	6	.	.	PUNCT
ejpam-4699	147	1	triangular	triangular	NOUN
ejpam-4699	147	2	approximation	approximation	NOUN
ejpam-4699	147	3	of	of	ADP
ejpam-4699	147	4	fuzzy	fuzzy	ADJ
ejpam-4699	147	5	numbers	number	NOUN
ejpam-4699	147	6	—	—	PUNCT
ejpam-4699	147	7	a	a	DET
ejpam-4699	147	8	new	new	ADJ
ejpam-4699	147	9	approach	approach	NOUN
ejpam-4699	147	10	.	.	PUNCT
ejpam-4699	148	1	international	international	ADJ
ejpam-4699	148	2	journal	journal	NOUN
ejpam-4699	148	3	of	of	ADP
ejpam-4699	148	4	pure	pure	ADJ
ejpam-4699	148	5	and	and	CCONJ
ejpam-4699	148	6	applied	applied	ADJ
ejpam-4699	148	7	mathematics	mathematic	NOUN
ejpam-4699	148	8	,	,	PUNCT
ejpam-4699	148	9	113(13):115–121	113(13):115–121	NUM
ejpam-4699	148	10	,	,	PUNCT
ejpam-4699	148	11	2017	2017	NUM
ejpam-4699	148	12	.	.	PUNCT
ejpam-4699	149	1	[	[	X
ejpam-4699	149	2	20	20	NUM
ejpam-4699	149	3	]	]	PUNCT
ejpam-4699	149	4	t	t	PROPN
ejpam-4699	149	5	sudha	sudha	PROPN
ejpam-4699	149	6	and	and	CCONJ
ejpam-4699	149	7	g	g	PROPN
ejpam-4699	149	8	jayalalitha	jayalalitha	PROPN
ejpam-4699	149	9	.	.	PUNCT
ejpam-4699	150	1	fuzzy	fuzzy	ADJ
ejpam-4699	150	2	triangular	triangular	NOUN
ejpam-4699	150	3	numbers	number	NOUN
ejpam-4699	150	4	in	in	ADP
ejpam-4699	150	5	-	-	PUNCT
ejpam-4699	150	6	sierpinski	sierpinski	ADJ
ejpam-4699	150	7	triangle	triangle	NOUN
ejpam-4699	150	8	and	and	CCONJ
ejpam-4699	150	9	right	right	ADJ
ejpam-4699	150	10	angle	angle	NOUN
ejpam-4699	150	11	triangle	triangle	NOUN
ejpam-4699	150	12	.	.	PUNCT
ejpam-4699	151	1	1597(1):012022	1597(1):012022	NOUN
ejpam-4699	151	2	,	,	PUNCT
ejpam-4699	151	3	2020	2020	NUM
ejpam-4699	151	4	.	.	PUNCT
ejpam-4699	152	1	[	[	X
ejpam-4699	152	2	21	21	NUM
ejpam-4699	152	3	]	]	X
ejpam-4699	152	4	mariam	mariam	PROPN
ejpam-4699	152	5	sultana	sultana	PROPN
ejpam-4699	152	6	,	,	PUNCT
ejpam-4699	152	7	fareeha	fareeha	ADJ
ejpam-4699	152	8	sami	sami	PROPN
ejpam-4699	152	9	khan	khan	PROPN
ejpam-4699	152	10	,	,	PUNCT
ejpam-4699	152	11	m	m	PROPN
ejpam-4699	152	12	khalid	khalid	PROPN
ejpam-4699	152	13	,	,	PUNCT
ejpam-4699	152	14	areej	areej	VERB
ejpam-4699	152	15	a	a	DET
ejpam-4699	152	16	al	al	PROPN
ejpam-4699	152	17	-	-	PUNCT
ejpam-4699	152	18	moneef	moneef	PROPN
ejpam-4699	152	19	,	,	PUNCT
ejpam-4699	152	20	ali	ali	PROPN
ejpam-4699	152	21	hasan	hasan	PROPN
ejpam-4699	152	22	ali	ali	PROPN
ejpam-4699	152	23	,	,	PUNCT
ejpam-4699	152	24	and	and	CCONJ
ejpam-4699	152	25	omar	omar	PROPN
ejpam-4699	152	26	bazighifan	bazighifan	PROPN
ejpam-4699	152	27	.	.	PUNCT
ejpam-4699	153	1	comparison	comparison	NOUN
ejpam-4699	153	2	of	of	ADP
ejpam-4699	153	3	predator	predator	NOUN
ejpam-4699	153	4	-	-	PUNCT
ejpam-4699	153	5	prey	prey	NOUN
ejpam-4699	153	6	model	model	NOUN
ejpam-4699	153	7	and	and	CCONJ
ejpam-4699	153	8	hawk	hawk	NOUN
ejpam-4699	153	9	-	-	PUNCT
ejpam-4699	153	10	dove	dove	NOUN
ejpam-4699	153	11	game	game	NOUN
ejpam-4699	153	12	for	for	ADP
ejpam-4699	153	13	modelling	model	VERB
ejpam-4699	153	14	leukemia	leukemia	NOUN
ejpam-4699	153	15	.	.	PUNCT
ejpam-4699	154	1	computational	computational	ADJ
ejpam-4699	154	2	intelligence	intelligence	NOUN
ejpam-4699	154	3	and	and	CCONJ
ejpam-4699	154	4	neuroscience	neuroscience	NOUN
ejpam-4699	154	5	:	:	PUNCT
ejpam-4699	154	6	cin	cin	PROPN
ejpam-4699	154	7	,	,	PUNCT
ejpam-4699	154	8	2022	2022	NUM
ejpam-4699	154	9	,	,	PUNCT
ejpam-4699	154	10	2022	2022	NUM
ejpam-4699	154	11	.	.	PUNCT
ejpam-4699	155	1	[	[	X
ejpam-4699	155	2	22	22	NUM
ejpam-4699	155	3	]	]	PUNCT
ejpam-4699	155	4	guixiang	guixiang	PROPN
ejpam-4699	155	5	wang	wang	PROPN
ejpam-4699	155	6	,	,	PUNCT
ejpam-4699	155	7	chenjie	chenjie	PROPN
ejpam-4699	155	8	shen	shen	PROPN
ejpam-4699	155	9	,	,	PUNCT
ejpam-4699	155	10	and	and	CCONJ
ejpam-4699	155	11	yanyan	yanyan	PROPN
ejpam-4699	155	12	wang	wang	PROPN
ejpam-4699	155	13	.	.	PUNCT
ejpam-4699	156	1	approximation	approximation	NOUN
ejpam-4699	156	2	of	of	ADP
ejpam-4699	156	3	fuzzy	fuzzy	ADJ
ejpam-4699	156	4	numbers	number	NOUN
ejpam-4699	156	5	by	by	ADP
ejpam-4699	156	6	using	use	VERB
ejpam-4699	156	7	multi	multi	ADJ
ejpam-4699	156	8	-	-	ADJ
ejpam-4699	156	9	knots	knots	ADJ
ejpam-4699	156	10	piecewise	piecewise	NOUN
ejpam-4699	156	11	linear	linear	VERB
ejpam-4699	156	12	fuzzy	fuzzy	ADJ
ejpam-4699	156	13	numbers	number	NOUN
ejpam-4699	156	14	.	.	PUNCT
ejpam-4699	157	1	journal	journal	NOUN
ejpam-4699	157	2	of	of	ADP
ejpam-4699	157	3	intelligent	intelligent	ADJ
ejpam-4699	157	4	&	&	CCONJ
ejpam-4699	157	5	fuzzy	fuzzy	ADJ
ejpam-4699	157	6	systems	system	NOUN
ejpam-4699	157	7	,	,	PUNCT
ejpam-4699	157	8	39(3):3597–3615	39(3):3597–3615	NUM
ejpam-4699	157	9	,	,	PUNCT
ejpam-4699	157	10	2020	2020	NUM
ejpam-4699	157	11	.	.	PUNCT
ejpam-4699	158	1	[	[	X
ejpam-4699	158	2	23	23	NUM
ejpam-4699	158	3	]	]	PUNCT
ejpam-4699	158	4	qi	qi	PROPN
ejpam-4699	158	5	wu	wu	PROPN
ejpam-4699	158	6	and	and	CCONJ
ejpam-4699	158	7	rob	rob	PROPN
ejpam-4699	158	8	law	law	PROPN
ejpam-4699	158	9	.	.	PUNCT
ejpam-4699	159	1	the	the	DET
ejpam-4699	159	2	complex	complex	ADJ
ejpam-4699	159	3	fuzzy	fuzzy	ADJ
ejpam-4699	159	4	system	system	NOUN
ejpam-4699	159	5	forecasting	forecasting	NOUN
ejpam-4699	159	6	model	model	NOUN
ejpam-4699	159	7	based	base	VERB
ejpam-4699	159	8	on	on	ADP
ejpam-4699	159	9	fuzzy	fuzzy	ADJ
ejpam-4699	159	10	svm	svm	NOUN
ejpam-4699	159	11	with	with	ADP
ejpam-4699	159	12	triangular	triangular	NOUN
ejpam-4699	159	13	fuzzy	fuzzy	ADJ
ejpam-4699	159	14	number	number	NOUN
ejpam-4699	159	15	input	input	NOUN
ejpam-4699	159	16	and	and	CCONJ
ejpam-4699	159	17	output	output	NOUN
ejpam-4699	159	18	.	.	PUNCT
ejpam-4699	160	1	expert	expert	NOUN
ejpam-4699	160	2	systems	system	NOUN
ejpam-4699	160	3	with	with	ADP
ejpam-4699	160	4	applications	application	NOUN
ejpam-4699	160	5	,	,	PUNCT
ejpam-4699	160	6	38(10):12085–12093	38(10):12085–12093	NUM
ejpam-4699	160	7	,	,	PUNCT
ejpam-4699	160	8	2011	2011	NUM
ejpam-4699	160	9	.	.	PUNCT
ejpam-4699	161	1	[	[	X
ejpam-4699	161	2	24	24	NUM
ejpam-4699	161	3	]	]	X
ejpam-4699	161	4	zs	zs	PROPN
ejpam-4699	161	5	xu	xu	PROPN
ejpam-4699	161	6	.	.	PUNCT
ejpam-4699	161	7	method	method	PROPN
ejpam-4699	161	8	based	base	VERB
ejpam-4699	161	9	on	on	ADP
ejpam-4699	161	10	expected	expect	VERB
ejpam-4699	161	11	values	value	NOUN
ejpam-4699	161	12	for	for	ADP
ejpam-4699	161	13	fuzzy	fuzzy	ADJ
ejpam-4699	161	14	multiple	multiple	ADJ
ejpam-4699	161	15	attribute	attribute	NOUN
ejpam-4699	161	16	decision	decision	NOUN
ejpam-4699	161	17	making	make	VERB
ejpam-4699	161	18	problems	problem	NOUN
ejpam-4699	161	19	with	with	ADP
ejpam-4699	161	20	preference	preference	NOUN
ejpam-4699	161	21	information	information	NOUN
ejpam-4699	161	22	on	on	ADP
ejpam-4699	161	23	alternatives	alternative	NOUN
ejpam-4699	161	24	.	.	PUNCT
ejpam-4699	162	1	systems	system	NOUN
ejpam-4699	162	2	engineering	engineering	NOUN
ejpam-4699	162	3	-	-	PUNCT
ejpam-4699	162	4	theory	theory	NOUN
ejpam-4699	162	5	&	&	CCONJ
ejpam-4699	162	6	practice	practice	NOUN
ejpam-4699	162	7	,	,	PUNCT
ejpam-4699	162	8	24(1):109–113	24(1):109–113	PROPN
ejpam-4699	162	9	,	,	PUNCT
ejpam-4699	162	10	2004	2004	NUM
ejpam-4699	162	11	.	.	PUNCT
ejpam-4699	163	1	[	[	X
ejpam-4699	163	2	25	25	NUM
ejpam-4699	163	3	]	]	X
ejpam-4699	163	4	mustafa	mustafa	PROPN
ejpam-4699	163	5	t	t	PROPN
ejpam-4699	163	6	yaseen	yaseen	PROPN
ejpam-4699	163	7	,	,	PUNCT
ejpam-4699	163	8	ali	ali	PROPN
ejpam-4699	163	9	hasan	hasan	PROPN
ejpam-4699	163	10	ali	ali	PROPN
ejpam-4699	163	11	,	,	PUNCT
ejpam-4699	163	12	areej	areej	VERB
ejpam-4699	163	13	a	a	DET
ejpam-4699	163	14	al	al	PROPN
ejpam-4699	163	15	-	-	PUNCT
ejpam-4699	163	16	moneef	moneef	PROPN
ejpam-4699	163	17	,	,	PUNCT
ejpam-4699	163	18	omer	omer	PROPN
ejpam-4699	163	19	bazighifan	bazighifan	PROPN
ejpam-4699	163	20	,	,	PUNCT
ejpam-4699	163	21	taher	taher	PROPN
ejpam-4699	163	22	a	a	DET
ejpam-4699	163	23	nofal	nofal	NOUN
ejpam-4699	163	24	,	,	PUNCT
ejpam-4699	163	25	and	and	CCONJ
ejpam-4699	163	26	f	f	PROPN
ejpam-4699	163	27	ghanim	ghanim	NOUN
ejpam-4699	163	28	.	.	PUNCT
ejpam-4699	164	1	new	new	ADJ
ejpam-4699	164	2	results	result	NOUN
ejpam-4699	164	3	of	of	ADP
ejpam-4699	164	4	fixed	fix	VERB
ejpam-4699	164	5	-	-	PUNCT
ejpam-4699	164	6	point	point	NOUN
ejpam-4699	164	7	theorems	theorem	NOUN
ejpam-4699	164	8	in	in	ADP
ejpam-4699	164	9	complete	complete	ADJ
ejpam-4699	164	10	metric	metric	ADJ
ejpam-4699	164	11	spaces	space	NOUN
ejpam-4699	164	12	.	.	PUNCT
ejpam-4699	165	1	mathematical	mathematical	ADJ
ejpam-4699	165	2	problems	problem	NOUN
ejpam-4699	165	3	in	in	ADP
ejpam-4699	165	4	engineering	engineering	NOUN
ejpam-4699	165	5	,	,	PUNCT
ejpam-4699	165	6	2022	2022	NUM
ejpam-4699	165	7	,	,	PUNCT
ejpam-4699	165	8	2022	2022	NUM
ejpam-4699	165	9	.	.	PUNCT
ejpam-4699	166	1	[	[	X
ejpam-4699	166	2	26	26	NUM
ejpam-4699	166	3	]	]	X
ejpam-4699	166	4	xixiang	xixiang	PROPN
ejpam-4699	166	5	zhang	zhang	PROPN
ejpam-4699	166	6	,	,	PUNCT
ejpam-4699	166	7	weimin	weimin	PROPN
ejpam-4699	166	8	ma	ma	PROPN
ejpam-4699	166	9	,	,	PUNCT
ejpam-4699	166	10	and	and	CCONJ
ejpam-4699	166	11	liping	liping	PROPN
ejpam-4699	166	12	chen	chen	PROPN
ejpam-4699	166	13	.	.	PUNCT
ejpam-4699	167	1	new	new	ADJ
ejpam-4699	167	2	similarity	similarity	NOUN
ejpam-4699	167	3	of	of	ADP
ejpam-4699	167	4	triangular	triangular	NOUN
ejpam-4699	167	5	fuzzy	fuzzy	ADJ
ejpam-4699	167	6	number	number	NOUN
ejpam-4699	167	7	and	and	CCONJ
ejpam-4699	167	8	its	its	PRON
ejpam-4699	167	9	application	application	NOUN
ejpam-4699	167	10	.	.	PUNCT
ejpam-4699	168	1	the	the	DET
ejpam-4699	168	2	scientific	scientific	ADJ
ejpam-4699	168	3	world	world	NOUN
ejpam-4699	168	4	journal	journal	NOUN
ejpam-4699	168	5	,	,	PUNCT
ejpam-4699	168	6	2014	2014	NUM
ejpam-4699	168	7	,	,	PUNCT
ejpam-4699	168	8	2014	2014	NUM
ejpam-4699	168	9	.	.	PUNCT