id	sid	tid	token	lemma	pos
ejpam-5691	1	1	european	european	PROPN
ejpam-5691	1	2	journal	journal	PROPN
ejpam-5691	1	3	of	of	ADP
ejpam-5691	1	4	pure	pure	ADJ
ejpam-5691	1	5	and	and	CCONJ
ejpam-5691	1	6	applied	applied	ADJ
ejpam-5691	1	7	mathematics	mathematic	NOUN
ejpam-5691	1	8	2025	2025	NUM
ejpam-5691	1	9	,	,	PUNCT
ejpam-5691	1	10	vol	vol	NOUN
ejpam-5691	1	11	.	.	PROPN
ejpam-5691	1	12	18	18	NUM
ejpam-5691	1	13	,	,	PUNCT
ejpam-5691	1	14	issue	issue	NOUN
ejpam-5691	1	15	1	1	NUM
ejpam-5691	1	16	,	,	PUNCT
ejpam-5691	1	17	article	article	NOUN
ejpam-5691	1	18	number	number	NOUN
ejpam-5691	1	19	5691	5691	NUM
ejpam-5691	1	20	issn	issn	VERB
ejpam-5691	1	21	1307	1307	NUM
ejpam-5691	1	22	-	-	SYM
ejpam-5691	1	23	5543	5543	NUM
ejpam-5691	1	24	–	–	PUNCT
ejpam-5691	1	25	ejpam.com	ejpam.com	X
ejpam-5691	1	26	published	publish	VERB
ejpam-5691	1	27	by	by	ADP
ejpam-5691	1	28	new	new	PROPN
ejpam-5691	1	29	york	york	PROPN
ejpam-5691	1	30	business	business	PROPN
ejpam-5691	1	31	global	global	PROPN
ejpam-5691	1	32	a	a	DET
ejpam-5691	1	33	bipolar	bipolar	ADJ
ejpam-5691	1	34	fermatean	fermatean	NOUN
ejpam-5691	1	35	fuzzy	fuzzy	ADJ
ejpam-5691	1	36	hamacher	hamacher	NOUN
ejpam-5691	1	37	approach	approach	NOUN
ejpam-5691	1	38	to	to	ADP
ejpam-5691	1	39	group	group	NOUN
ejpam-5691	1	40	decision	decision	NOUN
ejpam-5691	1	41	-	-	PUNCT
ejpam-5691	1	42	making	making	NOUN
ejpam-5691	1	43	for	for	ADP
ejpam-5691	1	44	electric	electric	ADJ
ejpam-5691	1	45	waste	waste	PROPN
ejpam-5691	1	46	aliya	aliya	PROPN
ejpam-5691	1	47	fahmi1,∗	fahmi1,∗	PROPN
ejpam-5691	1	48	,	,	PUNCT
ejpam-5691	1	49	muhammad	muhammad	PROPN
ejpam-5691	1	50	arshad	arshad	PROPN
ejpam-5691	1	51	shehzad	shehzad	PROPN
ejpam-5691	1	52	hassan2	hassan2	PROPN
ejpam-5691	1	53	,	,	PUNCT
ejpam-5691	1	54	aziz	aziz	PROPN
ejpam-5691	1	55	khan3	khan3	PROPN
ejpam-5691	1	56	,	,	PUNCT
ejpam-5691	1	57	thabet	thabet	NOUN
ejpam-5691	1	58	abdeljawad3,4,5,6	abdeljawad3,4,5,6	NOUN
ejpam-5691	1	59	,	,	PUNCT
ejpam-5691	1	60	d.k.almutairi7	d.k.almutairi7	NOUN
ejpam-5691	1	61	1	1	NUM
ejpam-5691	1	62	department	department	NOUN
ejpam-5691	1	63	of	of	ADP
ejpam-5691	1	64	mathematics	mathematic	NOUN
ejpam-5691	1	65	and	and	CCONJ
ejpam-5691	1	66	statistics	statistic	NOUN
ejpam-5691	1	67	,	,	PUNCT
ejpam-5691	1	68	faculty	faculty	NOUN
ejpam-5691	1	69	of	of	ADP
ejpam-5691	1	70	sciences	science	NOUN
ejpam-5691	1	71	,	,	PUNCT
ejpam-5691	1	72	the	the	DET
ejpam-5691	1	73	university	university	NOUN
ejpam-5691	1	74	of	of	ADP
ejpam-5691	1	75	faisalabad	faisalabad	PROPN
ejpam-5691	1	76	,	,	PUNCT
ejpam-5691	1	77	pakistan	pakistan	PROPN
ejpam-5691	1	78	2	2	NUM
ejpam-5691	1	79	department	department	NOUN
ejpam-5691	1	80	of	of	ADP
ejpam-5691	1	81	electrical	electrical	ADJ
ejpam-5691	1	82	engineering	engineering	NOUN
ejpam-5691	1	83	,	,	PUNCT
ejpam-5691	1	84	the	the	DET
ejpam-5691	1	85	university	university	NOUN
ejpam-5691	1	86	of	of	ADP
ejpam-5691	1	87	faisalabad	faisalabad	PROPN
ejpam-5691	1	88	,	,	PUNCT
ejpam-5691	1	89	faisalabad	faisalabad	PROPN
ejpam-5691	1	90	,	,	PUNCT
ejpam-5691	1	91	pakistan	pakistan	PROPN
ejpam-5691	1	92	3	3	NUM
ejpam-5691	1	93	department	department	NOUN
ejpam-5691	1	94	of	of	ADP
ejpam-5691	1	95	mathematics	mathematic	NOUN
ejpam-5691	1	96	and	and	CCONJ
ejpam-5691	1	97	sciences	science	NOUN
ejpam-5691	1	98	,	,	PUNCT
ejpam-5691	1	99	prince	prince	PROPN
ejpam-5691	1	100	sultan	sultan	PROPN
ejpam-5691	1	101	university	university	PROPN
ejpam-5691	1	102	,	,	PUNCT
ejpam-5691	1	103	p.o.box	p.o.box	PROPN
ejpam-5691	1	104	66833	66833	NUM
ejpam-5691	1	105	,	,	PUNCT
ejpam-5691	1	106	11586	11586	NUM
ejpam-5691	1	107	riyadh	riyadh	NOUN
ejpam-5691	1	108	,	,	PUNCT
ejpam-5691	1	109	saudi	saudi	PROPN
ejpam-5691	1	110	arabia	arabia	PROPN
ejpam-5691	1	111	4	4	NUM
ejpam-5691	1	112	department	department	NOUN
ejpam-5691	1	113	of	of	ADP
ejpam-5691	1	114	mathematics	mathematic	NOUN
ejpam-5691	1	115	,	,	PUNCT
ejpam-5691	1	116	saveetha	saveetha	PROPN
ejpam-5691	1	117	school	school	PROPN
ejpam-5691	1	118	of	of	ADP
ejpam-5691	1	119	engineering	engineering	PROPN
ejpam-5691	1	120	,	,	PUNCT
ejpam-5691	1	121	saveetha	saveetha	PROPN
ejpam-5691	1	122	institute	institute	PROPN
ejpam-5691	1	123	of	of	ADP
ejpam-5691	1	124	medical	medical	ADJ
ejpam-5691	1	125	and	and	CCONJ
ejpam-5691	1	126	technical	technical	ADJ
ejpam-5691	1	127	sciences	science	NOUN
ejpam-5691	1	128	,	,	PUNCT
ejpam-5691	1	129	saveetha	saveetha	PROPN
ejpam-5691	1	130	university	university	PROPN
ejpam-5691	1	131	,	,	PUNCT
ejpam-5691	1	132	chennai	chennai	NOUN
ejpam-5691	1	133	602105	602105	NUM
ejpam-5691	1	134	,	,	PUNCT
ejpam-5691	1	135	tamil	tamil	PROPN
ejpam-5691	1	136	nadu	nadu	PROPN
ejpam-5691	1	137	,	,	PUNCT
ejpam-5691	1	138	india	india	PROPN
ejpam-5691	1	139	5	5	NUM
ejpam-5691	1	140	department	department	NOUN
ejpam-5691	1	141	of	of	ADP
ejpam-5691	1	142	mathematics	mathematic	NOUN
ejpam-5691	1	143	and	and	CCONJ
ejpam-5691	1	144	applied	apply	VERB
ejpam-5691	1	145	mathematics	mathematic	NOUN
ejpam-5691	1	146	,	,	PUNCT
ejpam-5691	1	147	sefako	sefako	VERB
ejpam-5691	1	148	makgatho	makgatho	PROPN
ejpam-5691	1	149	health	health	PROPN
ejpam-5691	1	150	sciences	sciences	PROPN
ejpam-5691	1	151	university	university	PROPN
ejpam-5691	1	152	,	,	PUNCT
ejpam-5691	1	153	garankuwa	garankuwa	NOUN
ejpam-5691	1	154	,	,	PUNCT
ejpam-5691	1	155	medusa	medusa	NOUN
ejpam-5691	1	156	0204	0204	NUM
ejpam-5691	1	157	,	,	PUNCT
ejpam-5691	1	158	south	south	PROPN
ejpam-5691	1	159	africa	africa	PROPN
ejpam-5691	1	160	6	6	NUM
ejpam-5691	1	161	center	center	NOUN
ejpam-5691	1	162	for	for	ADP
ejpam-5691	1	163	applied	applied	ADJ
ejpam-5691	1	164	mathematics	mathematic	NOUN
ejpam-5691	1	165	and	and	CCONJ
ejpam-5691	1	166	bioinformatics	bioinformatics	NOUN
ejpam-5691	1	167	(	(	PUNCT
ejpam-5691	1	168	camb	camb	PROPN
ejpam-5691	1	169	)	)	PUNCT
ejpam-5691	1	170	,	,	PUNCT
ejpam-5691	1	171	gulf	gulf	PROPN
ejpam-5691	1	172	university	university	PROPN
ejpam-5691	1	173	for	for	ADP
ejpam-5691	1	174	science	science	NOUN
ejpam-5691	1	175	and	and	CCONJ
ejpam-5691	1	176	technology	technology	NOUN
ejpam-5691	1	177	,	,	PUNCT
ejpam-5691	1	178	hawally	hawally	ADV
ejpam-5691	1	179	,	,	PUNCT
ejpam-5691	1	180	32093	32093	NUM
ejpam-5691	1	181	,	,	PUNCT
ejpam-5691	1	182	kuwait	kuwait	PROPN
ejpam-5691	1	183	7	7	NUM
ejpam-5691	1	184	department	department	NOUN
ejpam-5691	1	185	of	of	ADP
ejpam-5691	1	186	mathematics	mathematic	NOUN
ejpam-5691	1	187	,	,	PUNCT
ejpam-5691	1	188	college	college	NOUN
ejpam-5691	1	189	of	of	ADP
ejpam-5691	1	190	science	science	PROPN
ejpam-5691	1	191	al	al	PROPN
ejpam-5691	1	192	-	-	PUNCT
ejpam-5691	1	193	zulfi	zulfi	PROPN
ejpam-5691	1	194	,	,	PUNCT
ejpam-5691	1	195	majmaah	majmaah	PROPN
ejpam-5691	1	196	university	university	NOUN
ejpam-5691	1	197	,	,	PUNCT
ejpam-5691	1	198	11952	11952	NUM
ejpam-5691	1	199	almajmaah	almajmaah	NOUN
ejpam-5691	1	200	,	,	PUNCT
ejpam-5691	1	201	saudi	saudi	PROPN
ejpam-5691	1	202	arabia	arabia	PROPN
ejpam-5691	1	203	abstract	abstract	NOUN
ejpam-5691	1	204	.	.	PUNCT
ejpam-5691	2	1	the	the	DET
ejpam-5691	2	2	paper	paper	NOUN
ejpam-5691	2	3	introduces	introduce	VERB
ejpam-5691	2	4	advanced	advanced	ADJ
ejpam-5691	2	5	aggregation	aggregation	NOUN
ejpam-5691	2	6	operators	operator	NOUN
ejpam-5691	2	7	based	base	VERB
ejpam-5691	2	8	on	on	ADP
ejpam-5691	2	9	hamacher	hamacher	NOUN
ejpam-5691	2	10	operational	operational	ADJ
ejpam-5691	2	11	laws	law	NOUN
ejpam-5691	2	12	for	for	ADP
ejpam-5691	2	13	bipolar	bipolar	ADJ
ejpam-5691	2	14	fermatean	fermatean	ADJ
ejpam-5691	2	15	fuzzy	fuzzy	ADJ
ejpam-5691	2	16	sets	set	NOUN
ejpam-5691	2	17	,	,	PUNCT
ejpam-5691	2	18	addressing	address	VERB
ejpam-5691	2	19	complex	complex	ADJ
ejpam-5691	2	20	decision	decision	NOUN
ejpam-5691	2	21	-	-	PUNCT
ejpam-5691	2	22	making	make	VERB
ejpam-5691	2	23	problems	problem	NOUN
ejpam-5691	2	24	.	.	PUNCT
ejpam-5691	3	1	in	in	ADP
ejpam-5691	3	2	addition	addition	NOUN
ejpam-5691	3	3	,	,	PUNCT
ejpam-5691	3	4	a	a	DET
ejpam-5691	3	5	score	score	NOUN
ejpam-5691	3	6	function	function	NOUN
ejpam-5691	3	7	is	be	AUX
ejpam-5691	3	8	utilized	utilize	VERB
ejpam-5691	3	9	to	to	PART
ejpam-5691	3	10	evaluate	evaluate	VERB
ejpam-5691	3	11	and	and	CCONJ
ejpam-5691	3	12	rank	rank	VERB
ejpam-5691	3	13	alternatives	alternative	NOUN
ejpam-5691	3	14	within	within	ADP
ejpam-5691	3	15	the	the	DET
ejpam-5691	3	16	bipolar	bipolar	ADJ
ejpam-5691	3	17	fermatean	fermatean	NOUN
ejpam-5691	3	18	fuzzy	fuzzy	ADJ
ejpam-5691	3	19	decision	decision	NOUN
ejpam-5691	3	20	framework	framework	NOUN
ejpam-5691	3	21	,	,	PUNCT
ejpam-5691	3	22	offering	offer	VERB
ejpam-5691	3	23	a	a	DET
ejpam-5691	3	24	quantitative	quantitative	ADJ
ejpam-5691	3	25	measure	measure	NOUN
ejpam-5691	3	26	of	of	ADP
ejpam-5691	3	27	each	each	DET
ejpam-5691	3	28	alternative	alternative	NOUN
ejpam-5691	3	29	’s	’s	PART
ejpam-5691	3	30	performance	performance	NOUN
ejpam-5691	3	31	based	base	VERB
ejpam-5691	3	32	on	on	ADP
ejpam-5691	3	33	the	the	DET
ejpam-5691	3	34	aggregation	aggregation	NOUN
ejpam-5691	3	35	results	result	NOUN
ejpam-5691	3	36	.	.	PUNCT
ejpam-5691	4	1	this	this	DET
ejpam-5691	4	2	score	score	NOUN
ejpam-5691	4	3	function	function	NOUN
ejpam-5691	4	4	helps	help	VERB
ejpam-5691	4	5	simplify	simplify	VERB
ejpam-5691	4	6	decision	decision	NOUN
ejpam-5691	4	7	-	-	PUNCT
ejpam-5691	4	8	making	making	NOUN
ejpam-5691	4	9	,	,	PUNCT
ejpam-5691	4	10	particularly	particularly	ADV
ejpam-5691	4	11	in	in	ADP
ejpam-5691	4	12	cases	case	NOUN
ejpam-5691	4	13	involving	involve	VERB
ejpam-5691	4	14	complex	complex	ADJ
ejpam-5691	4	15	uncertainty	uncertainty	NOUN
ejpam-5691	4	16	and	and	CCONJ
ejpam-5691	4	17	multiple	multiple	ADJ
ejpam-5691	4	18	criteria	criterion	NOUN
ejpam-5691	4	19	.	.	PUNCT
ejpam-5691	5	1	the	the	DET
ejpam-5691	5	2	proposed	propose	VERB
ejpam-5691	5	3	operators	operator	NOUN
ejpam-5691	5	4	include	include	VERB
ejpam-5691	5	5	the	the	DET
ejpam-5691	5	6	bipolar	bipolar	ADJ
ejpam-5691	5	7	fermatean	fermatean	NOUN
ejpam-5691	5	8	fuzzy	fuzzy	ADJ
ejpam-5691	5	9	-	-	PUNCT
ejpam-5691	5	10	hamacher	hamacher	NOUN
ejpam-5691	5	11	weighted	weight	VERB
ejpam-5691	5	12	average	average	ADJ
ejpam-5691	5	13	,	,	PUNCT
ejpam-5691	5	14	the	the	DET
ejpam-5691	5	15	bipolar	bipolar	ADJ
ejpam-5691	5	16	fermatean	fermatean	NOUN
ejpam-5691	5	17	fuzzy	fuzzy	ADJ
ejpam-5691	5	18	-	-	PUNCT
ejpam-5691	5	19	hamacher	hamacher	NOUN
ejpam-5691	5	20	ordered	order	VERB
ejpam-5691	5	21	weighted	weight	VERB
ejpam-5691	5	22	average	average	ADJ
ejpam-5691	5	23	,	,	PUNCT
ejpam-5691	5	24	and	and	CCONJ
ejpam-5691	5	25	the	the	DET
ejpam-5691	5	26	bipolar	bipolar	ADJ
ejpam-5691	5	27	fermatean	fermatean	NOUN
ejpam-5691	5	28	fuzzy	fuzzy	ADJ
ejpam-5691	5	29	-	-	PUNCT
ejpam-5691	5	30	hamacher	hamacher	NOUN
ejpam-5691	5	31	hybrid	hybrid	NOUN
ejpam-5691	5	32	weighted	weight	VERB
ejpam-5691	5	33	average	average	ADJ
ejpam-5691	5	34	.	.	PUNCT
ejpam-5691	6	1	these	these	DET
ejpam-5691	6	2	operators	operator	NOUN
ejpam-5691	6	3	are	be	AUX
ejpam-5691	6	4	designed	design	VERB
ejpam-5691	6	5	to	to	PART
ejpam-5691	6	6	integrate	integrate	VERB
ejpam-5691	6	7	membership	membership	NOUN
ejpam-5691	6	8	,	,	PUNCT
ejpam-5691	6	9	nonmembership	nonmembership	NOUN
ejpam-5691	6	10	,	,	PUNCT
ejpam-5691	6	11	and	and	CCONJ
ejpam-5691	6	12	hesitation	hesitation	NOUN
ejpam-5691	6	13	degrees	degree	NOUN
ejpam-5691	6	14	,	,	PUNCT
ejpam-5691	6	15	making	make	VERB
ejpam-5691	6	16	them	they	PRON
ejpam-5691	6	17	highly	highly	ADV
ejpam-5691	6	18	effective	effective	ADJ
ejpam-5691	6	19	in	in	ADP
ejpam-5691	6	20	bipolar	bipolar	ADJ
ejpam-5691	6	21	fermatean	fermatean	ADJ
ejpam-5691	6	22	fuzzy	fuzzy	ADJ
ejpam-5691	6	23	environments	environment	NOUN
ejpam-5691	6	24	.	.	PUNCT
ejpam-5691	7	1	to	to	PART
ejpam-5691	7	2	demonstrate	demonstrate	VERB
ejpam-5691	7	3	the	the	DET
ejpam-5691	7	4	practicality	practicality	NOUN
ejpam-5691	7	5	of	of	ADP
ejpam-5691	7	6	the	the	DET
ejpam-5691	7	7	proposed	propose	VERB
ejpam-5691	7	8	approach	approach	NOUN
ejpam-5691	7	9	,	,	PUNCT
ejpam-5691	7	10	a	a	DET
ejpam-5691	7	11	real	real	ADJ
ejpam-5691	7	12	-	-	PUNCT
ejpam-5691	7	13	world	world	NOUN
ejpam-5691	7	14	group	group	NOUN
ejpam-5691	7	15	decision	decision	NOUN
ejpam-5691	7	16	-	-	PUNCT
ejpam-5691	7	17	making	make	VERB
ejpam-5691	7	18	scenario	scenario	NOUN
ejpam-5691	7	19	is	be	AUX
ejpam-5691	7	20	applied	apply	VERB
ejpam-5691	7	21	to	to	ADP
ejpam-5691	7	22	managing	manage	VERB
ejpam-5691	7	23	electronic	electronic	ADJ
ejpam-5691	7	24	waste	waste	NOUN
ejpam-5691	7	25	.	.	PUNCT
ejpam-5691	8	1	the	the	DET
ejpam-5691	8	2	results	result	NOUN
ejpam-5691	8	3	show	show	VERB
ejpam-5691	8	4	the	the	DET
ejpam-5691	8	5	proposed	propose	VERB
ejpam-5691	8	6	methodology	methodology	NOUN
ejpam-5691	8	7	’s	’s	PART
ejpam-5691	8	8	superior	superior	ADJ
ejpam-5691	8	9	efficiency	efficiency	NOUN
ejpam-5691	8	10	,	,	PUNCT
ejpam-5691	8	11	flexibility	flexibility	NOUN
ejpam-5691	8	12	,	,	PUNCT
ejpam-5691	8	13	and	and	CCONJ
ejpam-5691	8	14	precision	precision	NOUN
ejpam-5691	8	15	compared	compare	VERB
ejpam-5691	8	16	to	to	ADP
ejpam-5691	8	17	existing	exist	VERB
ejpam-5691	8	18	approaches	approach	NOUN
ejpam-5691	8	19	.	.	PUNCT
ejpam-5691	9	1	the	the	DET
ejpam-5691	9	2	findings	finding	NOUN
ejpam-5691	9	3	highlight	highlight	VERB
ejpam-5691	9	4	the	the	DET
ejpam-5691	9	5	robustness	robustness	NOUN
ejpam-5691	9	6	of	of	ADP
ejpam-5691	9	7	operators	operator	NOUN
ejpam-5691	9	8	in	in	ADP
ejpam-5691	9	9	handling	handle	VERB
ejpam-5691	9	10	uncertainty	uncertainty	NOUN
ejpam-5691	9	11	and	and	CCONJ
ejpam-5691	9	12	enhancing	enhance	VERB
ejpam-5691	9	13	the	the	DET
ejpam-5691	9	14	accuracy	accuracy	NOUN
ejpam-5691	9	15	of	of	ADP
ejpam-5691	9	16	decision	decision	NOUN
ejpam-5691	9	17	-	-	PUNCT
ejpam-5691	9	18	making	making	NOUN
ejpam-5691	9	19	.	.	PUNCT
ejpam-5691	10	1	2020	2020	NUM
ejpam-5691	10	2	mathematics	mathematic	NOUN
ejpam-5691	10	3	subject	subject	NOUN
ejpam-5691	10	4	classifications	classification	NOUN
ejpam-5691	10	5	:	:	PUNCT
ejpam-5691	10	6	03e72	03e72	NUM
ejpam-5691	10	7	,	,	PUNCT
ejpam-5691	10	8	91b06	91b06	NUM
ejpam-5691	10	9	,	,	PUNCT
ejpam-5691	10	10	68t37	68t37	NUM
ejpam-5691	10	11	,	,	PUNCT
ejpam-5691	10	12	90b50	90b50	NUM
ejpam-5691	10	13	,	,	PUNCT
ejpam-5691	10	14	62c86	62c86	NUM
ejpam-5691	10	15	key	key	ADJ
ejpam-5691	10	16	words	word	NOUN
ejpam-5691	10	17	and	and	CCONJ
ejpam-5691	10	18	phrases	phrase	NOUN
ejpam-5691	10	19	:	:	PUNCT
ejpam-5691	10	20	bipolar	bipolar	ADJ
ejpam-5691	10	21	fuzzy	fuzzy	ADJ
ejpam-5691	10	22	set	set	NOUN
ejpam-5691	10	23	,	,	PUNCT
ejpam-5691	10	24	aggregation	aggregation	NOUN
ejpam-5691	10	25	operators	operator	NOUN
ejpam-5691	10	26	,	,	PUNCT
ejpam-5691	10	27	hamacher	hamacher	NOUN
ejpam-5691	10	28	∗corresponding	∗corresponde	VERB
ejpam-5691	10	29	author	author	NOUN
ejpam-5691	10	30	.	.	PUNCT
ejpam-5691	11	1	doi	doi	NOUN
ejpam-5691	11	2	:	:	PUNCT
ejpam-5691	11	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5691	https://doi.org/10.29020/nybg.ejpam.v18i1.5691	ADJ
ejpam-5691	11	4	email	email	NOUN
ejpam-5691	11	5	address	address	NOUN
ejpam-5691	11	6	:	:	PUNCT
ejpam-5691	11	7	aliyafahmi@gmail.com	aliyafahmi@gmail.com	X
ejpam-5691	11	8	(	(	PUNCT
ejpam-5691	11	9	a.	a.	NOUN
ejpam-5691	11	10	fahmi	fahmi	PROPN
ejpam-5691	11	11	)	)	PUNCT
ejpam-5691	11	12	,	,	PUNCT
ejpam-5691	11	13	tabdeljawad@psu.edu.sa	tabdeljawad@psu.edu.sa	PROPN
ejpam-5691	11	14	(	(	PUNCT
ejpam-5691	11	15	t.	t.	NOUN
ejpam-5691	11	16	abdeljawad	abdeljawad	PROPN
ejpam-5691	11	17	)	)	PUNCT
ejpam-5691	11	18	,	,	PUNCT
ejpam-5691	11	19	dk.almutairi@mu.edu.sa	dk.almutairi@mu.edu.sa	PROPN
ejpam-5691	11	20	(	(	PUNCT
ejpam-5691	11	21	d.k	d.k	PROPN
ejpam-5691	11	22	.	.	PROPN
ejpam-5691	11	23	almutairi	almutairi	PROPN
ejpam-5691	11	24	)	)	PUNCT
ejpam-5691	11	25	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5691	12	1	1	1	NUM
ejpam-5691	12	2	copyright	copyright	NOUN
ejpam-5691	12	3	:	:	PUNCT
ejpam-5691	12	4	©	©	PROPN
ejpam-5691	12	5	2025	2025	NUM
ejpam-5691	12	6	the	the	DET
ejpam-5691	12	7	author(s	author(s	NOUN
ejpam-5691	12	8	)	)	PUNCT
ejpam-5691	12	9	.	.	PUNCT
ejpam-5691	13	1	(	(	PUNCT
ejpam-5691	13	2	cc	cc	NOUN
ejpam-5691	13	3	by	by	ADP
ejpam-5691	13	4	-	-	PUNCT
ejpam-5691	13	5	nc	nc	PROPN
ejpam-5691	13	6	4.0	4.0	NUM
ejpam-5691	13	7	)	)	PUNCT
ejpam-5691	13	8	a.	a.	NOUN
ejpam-5691	13	9	fahmi	fahmi	PROPN
ejpam-5691	13	10	et	et	PROPN
ejpam-5691	13	11	al	al	PROPN
ejpam-5691	13	12	.	.	PUNCT
ejpam-5691	13	13	/	/	SYM
ejpam-5691	13	14	eur	eur	PROPN
ejpam-5691	13	15	.	.	PUNCT
ejpam-5691	14	1	j.	j.	PROPN
ejpam-5691	14	2	pure	pure	PROPN
ejpam-5691	14	3	appl	appl	PROPN
ejpam-5691	14	4	.	.	PROPN
ejpam-5691	14	5	math	math	PROPN
ejpam-5691	14	6	,	,	PUNCT
ejpam-5691	14	7	18	18	NUM
ejpam-5691	14	8	(	(	PUNCT
ejpam-5691	14	9	1	1	NUM
ejpam-5691	14	10	)	)	PUNCT
ejpam-5691	14	11	(	(	PUNCT
ejpam-5691	14	12	2025	2025	NUM
ejpam-5691	14	13	)	)	PUNCT
ejpam-5691	14	14	,	,	PUNCT
ejpam-5691	14	15	5691	5691	NUM
ejpam-5691	14	16	2	2	NUM
ejpam-5691	14	17	of	of	ADP
ejpam-5691	14	18	32	32	NUM
ejpam-5691	14	19	1	1	NUM
ejpam-5691	14	20	.	.	PUNCT
ejpam-5691	14	21	introduction	introduction	VERB
ejpam-5691	14	22	the	the	DET
ejpam-5691	14	23	expansion	expansion	NOUN
ejpam-5691	14	24	of	of	ADP
ejpam-5691	14	25	the	the	DET
ejpam-5691	14	26	competencies	competency	NOUN
ejpam-5691	14	27	has	have	VERB
ejpam-5691	14	28	the	the	DET
ejpam-5691	14	29	effect	effect	NOUN
ejpam-5691	14	30	of	of	ADP
ejpam-5691	14	31	reducing	reduce	VERB
ejpam-5691	14	32	the	the	DET
ejpam-5691	14	33	electric	electric	ADJ
ejpam-5691	14	34	plans	plan	NOUN
ejpam-5691	14	35	’	'	PUNCT
ejpam-5691	14	36	customer	customer	NOUN
ejpam-5691	14	37	lifetime	lifetime	NOUN
ejpam-5691	14	38	.	.	PUNCT
ejpam-5691	15	1	this	this	PRON
ejpam-5691	15	2	is	be	AUX
ejpam-5691	15	3	the	the	DET
ejpam-5691	15	4	cause	cause	NOUN
ejpam-5691	15	5	of	of	ADP
ejpam-5691	15	6	a	a	DET
ejpam-5691	15	7	large	large	ADJ
ejpam-5691	15	8	river	river	NOUN
ejpam-5691	15	9	of	of	ADP
ejpam-5691	15	10	electrical	electrical	ADJ
ejpam-5691	15	11	excess	excess	ADJ
ejpam-5691	15	12	leftover	leftover	NOUN
ejpam-5691	15	13	from	from	ADP
ejpam-5691	15	14	obsolete	obsolete	ADJ
ejpam-5691	15	15	electronic	electronic	ADJ
ejpam-5691	15	16	devices	device	NOUN
ejpam-5691	15	17	.	.	PUNCT
ejpam-5691	16	1	these	these	DET
ejpam-5691	16	2	existing	exist	VERB
ejpam-5691	16	3	methods	method	NOUN
ejpam-5691	16	4	have	have	VERB
ejpam-5691	16	5	several	several	ADJ
ejpam-5691	16	6	drawbacks	drawback	NOUN
ejpam-5691	16	7	and	and	CCONJ
ejpam-5691	16	8	challenges	challenge	NOUN
ejpam-5691	16	9	,	,	PUNCT
ejpam-5691	16	10	including	include	VERB
ejpam-5691	16	11	several	several	ADJ
ejpam-5691	16	12	characteristic	characteristic	ADJ
ejpam-5691	16	13	removal	removal	NOUN
ejpam-5691	16	14	procedures	procedure	NOUN
ejpam-5691	16	15	for	for	ADP
ejpam-5691	16	16	e	e	NOUN
ejpam-5691	16	17	-	-	NOUN
ejpam-5691	16	18	waste	waste	NOUN
ejpam-5691	16	19	of	of	ADP
ejpam-5691	16	20	the	the	DET
ejpam-5691	16	21	later	later	ADV
ejpam-5691	16	22	ecologically	ecologically	ADV
ejpam-5691	16	23	and	and	CCONJ
ejpam-5691	16	24	financially	financially	ADV
ejpam-5691	16	25	interpreted	interpret	VERB
ejpam-5691	16	26	.	.	PUNCT
ejpam-5691	17	1	careful	careful	ADJ
ejpam-5691	17	2	reprocessing	reprocessing	NOUN
ejpam-5691	17	3	was	be	AUX
ejpam-5691	17	4	therefore	therefore	ADV
ejpam-5691	17	5	necessary	necessary	ADJ
ejpam-5691	17	6	for	for	ADP
ejpam-5691	17	7	effective	effective	ADJ
ejpam-5691	17	8	waste	waste	NOUN
ejpam-5691	17	9	organization	organization	NOUN
ejpam-5691	17	10	decisions	decision	NOUN
ejpam-5691	17	11	.	.	PUNCT
ejpam-5691	18	1	the	the	DET
ejpam-5691	18	2	hard	hard	ADJ
ejpam-5691	18	3	substructure	substructure	NOUN
ejpam-5691	18	4	was	be	AUX
ejpam-5691	18	5	lacking	lack	VERB
ejpam-5691	18	6	in	in	ADP
ejpam-5691	18	7	the	the	DET
ejpam-5691	18	8	area	area	NOUN
ejpam-5691	18	9	.	.	PUNCT
ejpam-5691	19	1	burning	burn	VERB
ejpam-5691	19	2	and	and	CCONJ
ejpam-5691	19	3	disposing	dispose	VERB
ejpam-5691	19	4	of	of	ADP
ejpam-5691	19	5	it	it	PRON
ejpam-5691	19	6	in	in	ADP
ejpam-5691	19	7	landfills	landfill	NOUN
ejpam-5691	19	8	expected	expect	VERB
ejpam-5691	19	9	to	to	PART
ejpam-5691	19	10	be	be	AUX
ejpam-5691	19	11	the	the	DET
ejpam-5691	19	12	primary	primary	ADJ
ejpam-5691	19	13	method	method	NOUN
ejpam-5691	19	14	for	for	ADP
ejpam-5691	19	15	removing	remove	VERB
ejpam-5691	19	16	e	e	NOUN
ejpam-5691	19	17	-	-	NOUN
ejpam-5691	19	18	waste	waste	NOUN
ejpam-5691	19	19	from	from	ADP
ejpam-5691	19	20	porcelain	porcelain	NOUN
ejpam-5691	19	21	.	.	PUNCT
ejpam-5691	20	1	a	a	DET
ejpam-5691	20	2	thoughtful	thoughtful	ADJ
ejpam-5691	20	3	cargo	cargo	NOUN
ejpam-5691	20	4	within	within	ADP
ejpam-5691	20	5	our	our	PRON
ejpam-5691	20	6	vicinities	vicinity	NOUN
ejpam-5691	20	7	may	may	AUX
ejpam-5691	20	8	be	be	AUX
ejpam-5691	20	9	the	the	DET
ejpam-5691	20	10	basis	basis	NOUN
ejpam-5691	20	11	for	for	ADP
ejpam-5691	20	12	the	the	DET
ejpam-5691	20	13	increase	increase	NOUN
ejpam-5691	20	14	in	in	ADP
ejpam-5691	20	15	landfill	landfill	NOUN
ejpam-5691	20	16	requirements	requirement	NOUN
ejpam-5691	20	17	[	[	X
ejpam-5691	20	18	22	22	NUM
ejpam-5691	20	19	,	,	PUNCT
ejpam-5691	20	20	41	41	NUM
ejpam-5691	20	21	]	]	PUNCT
ejpam-5691	20	22	.	.	PUNCT
ejpam-5691	21	1	however	however	ADV
ejpam-5691	21	2	,	,	PUNCT
ejpam-5691	21	3	the	the	DET
ejpam-5691	21	4	realization	realization	NOUN
ejpam-5691	21	5	of	of	ADP
ejpam-5691	21	6	original	original	ADJ
ejpam-5691	21	7	plans	plan	NOUN
ejpam-5691	21	8	depends	depend	VERB
ejpam-5691	21	9	on	on	ADP
ejpam-5691	21	10	distinct	distinct	ADJ
ejpam-5691	21	11	fundamentals	fundamental	NOUN
ejpam-5691	21	12	.	.	PUNCT
ejpam-5691	22	1	the	the	DET
ejpam-5691	22	2	resulting	result	VERB
ejpam-5691	22	3	appearances	appearance	NOUN
ejpam-5691	22	4	are	be	AUX
ejpam-5691	22	5	covered	cover	VERB
ejpam-5691	22	6	by	by	ADP
ejpam-5691	22	7	the	the	DET
ejpam-5691	22	8	existing	exist	VERB
ejpam-5691	22	9	policy	policy	NOUN
ejpam-5691	22	10	requirement	requirement	NOUN
ejpam-5691	22	11	.	.	PUNCT
ejpam-5691	23	1	preserving	preserve	VERB
ejpam-5691	23	2	and	and	CCONJ
ejpam-5691	23	3	restoring	restore	VERB
ejpam-5691	23	4	eol	eol	PROPN
ejpam-5691	23	5	microelectronic	microelectronic	ADJ
ejpam-5691	23	6	designs	design	NOUN
ejpam-5691	23	7	was	be	AUX
ejpam-5691	23	8	the	the	DET
ejpam-5691	23	9	most	most	ADV
ejpam-5691	23	10	important	important	ADJ
ejpam-5691	23	11	aspect	aspect	NOUN
ejpam-5691	23	12	of	of	ADP
ejpam-5691	23	13	an	an	DET
ejpam-5691	23	14	established	establish	VERB
ejpam-5691	23	15	technique	technique	NOUN
ejpam-5691	23	16	.	.	PUNCT
ejpam-5691	24	1	nowadays	nowadays	ADV
ejpam-5691	24	2	,	,	PUNCT
ejpam-5691	24	3	it	it	PRON
ejpam-5691	24	4	is	be	AUX
ejpam-5691	24	5	well	well	ADV
ejpam-5691	24	6	known	know	VERB
ejpam-5691	24	7	that	that	SCONJ
ejpam-5691	24	8	e	e	NOUN
ejpam-5691	24	9	-	-	ADJ
ejpam-5691	24	10	waste	waste	ADJ
ejpam-5691	24	11	recycling	recycling	NOUN
ejpam-5691	24	12	has	have	VERB
ejpam-5691	24	13	a	a	DET
ejpam-5691	24	14	thorough	thorough	ADJ
ejpam-5691	24	15	foundation	foundation	NOUN
ejpam-5691	24	16	in	in	ADP
ejpam-5691	24	17	the	the	DET
ejpam-5691	24	18	area	area	NOUN
ejpam-5691	24	19	and	and	CCONJ
ejpam-5691	24	20	a	a	DET
ejpam-5691	24	21	little	little	ADJ
ejpam-5691	24	22	historical	historical	ADJ
ejpam-5691	24	23	significance	significance	NOUN
ejpam-5691	24	24	in	in	ADP
ejpam-5691	24	25	porcelain	porcelain	NOUN
ejpam-5691	24	26	.	.	PUNCT
ejpam-5691	25	1	illustrating	illustrate	VERB
ejpam-5691	25	2	the	the	DET
ejpam-5691	25	3	approximate	approximate	ADJ
ejpam-5691	25	4	global	global	ADJ
ejpam-5691	25	5	significance	significance	NOUN
ejpam-5691	25	6	of	of	ADP
ejpam-5691	25	7	microchip	microchip	NOUN
ejpam-5691	25	8	technology	technology	NOUN
ejpam-5691	25	9	over	over	ADP
ejpam-5691	25	10	700	700	NUM
ejpam-5691	25	11	workers	worker	NOUN
ejpam-5691	25	12	in	in	ADP
ejpam-5691	25	13	the	the	DET
ejpam-5691	25	14	us	us	PROPN
ejpam-5691	25	15	unbiased	unbiased	ADJ
ejpam-5691	25	16	recyclers	recycler	NOUN
ejpam-5691	25	17	in	in	ADP
ejpam-5691	25	18	the	the	DET
ejpam-5691	25	19	e	e	NOUN
ejpam-5691	25	20	-	-	ADJ
ejpam-5691	25	21	waste	waste	ADJ
ejpam-5691	25	22	salvage	salvage	NOUN
ejpam-5691	25	23	industry	industry	NOUN
ejpam-5691	25	24	.	.	PUNCT
ejpam-5691	26	1	this	this	PRON
ejpam-5691	26	2	implies	imply	VERB
ejpam-5691	26	3	to	to	PART
ejpam-5691	26	4	salvage	salvage	VERB
ejpam-5691	26	5	eol	eol	PROPN
ejpam-5691	26	6	microchip	microchip	PROPN
ejpam-5691	26	7	technology	technology	NOUN
ejpam-5691	26	8	,	,	PUNCT
ejpam-5691	26	9	meetings	meeting	NOUN
ejpam-5691	26	10	and	and	CCONJ
ejpam-5691	26	11	skills	skill	NOUN
ejpam-5691	26	12	must	must	AUX
ejpam-5691	26	13	be	be	AUX
ejpam-5691	26	14	complex	complex	ADJ
ejpam-5691	27	1	[	[	X
ejpam-5691	27	2	30	30	NUM
ejpam-5691	27	3	]	]	PUNCT
ejpam-5691	27	4	.	.	PUNCT
ejpam-5691	28	1	the	the	DET
ejpam-5691	28	2	greatest	great	ADJ
ejpam-5691	28	3	option	option	NOUN
ejpam-5691	28	4	fixed	fix	VERB
ejpam-5691	28	5	of	of	ADP
ejpam-5691	28	6	limited	limited	ADJ
ejpam-5691	28	7	choices	choice	NOUN
ejpam-5691	28	8	that	that	PRON
ejpam-5691	28	9	match	match	VERB
ejpam-5691	28	10	to	to	ADP
ejpam-5691	28	11	specific	specific	ADJ
ejpam-5691	28	12	qualities	quality	NOUN
ejpam-5691	28	13	is	be	AUX
ejpam-5691	28	14	provided	provide	VERB
ejpam-5691	28	15	by	by	ADP
ejpam-5691	28	16	madm	madm	NOUN
ejpam-5691	28	17	,	,	PUNCT
ejpam-5691	28	18	which	which	PRON
ejpam-5691	28	19	is	be	AUX
ejpam-5691	28	20	regarded	regard	VERB
ejpam-5691	28	21	as	as	ADP
ejpam-5691	28	22	the	the	DET
ejpam-5691	28	23	unpack	unpack	NOUN
ejpam-5691	28	24	-	-	PUNCT
ejpam-5691	28	25	aged	aged	ADJ
ejpam-5691	28	26	faster	fast	ADV
ejpam-5691	28	27	,	,	PUNCT
ejpam-5691	28	28	and	and	CCONJ
ejpam-5691	28	29	emerging	emerge	VERB
ejpam-5691	28	30	field	field	NOUN
ejpam-5691	28	31	of	of	ADP
ejpam-5691	28	32	study	study	NOUN
ejpam-5691	28	33	.	.	PUNCT
ejpam-5691	29	1	when	when	SCONJ
ejpam-5691	29	2	assessing	assess	VERB
ejpam-5691	29	3	applicants	applicant	NOUN
ejpam-5691	29	4	’	'	PUNCT
ejpam-5691	29	5	information	information	NOUN
ejpam-5691	29	6	,	,	PUNCT
ejpam-5691	29	7	certain	certain	ADJ
ejpam-5691	29	8	problems	problem	NOUN
ejpam-5691	29	9	because	because	SCONJ
ejpam-5691	29	10	decision	decision	NOUN
ejpam-5691	29	11	experts	expert	NOUN
ejpam-5691	29	12	’	’	PART
ejpam-5691	29	13	perspectives	perspective	NOUN
ejpam-5691	29	14	are	be	AUX
ejpam-5691	29	15	not	not	PART
ejpam-5691	29	16	always	always	ADV
ejpam-5691	29	17	clear	clear	ADJ
ejpam-5691	29	18	.	.	PUNCT
ejpam-5691	30	1	these	these	DET
ejpam-5691	30	2	kinds	kind	NOUN
ejpam-5691	30	3	of	of	ADP
ejpam-5691	30	4	issues	issue	NOUN
ejpam-5691	30	5	are	be	AUX
ejpam-5691	30	6	resolved	resolve	VERB
ejpam-5691	30	7	by	by	ADP
ejpam-5691	30	8	using	use	VERB
ejpam-5691	30	9	the	the	DET
ejpam-5691	30	10	indication	indication	NOUN
ejpam-5691	30	11	of	of	ADP
ejpam-5691	30	12	fuzzy	fuzzy	ADJ
ejpam-5691	30	13	sets	set	NOUN
ejpam-5691	30	14	,	,	PUNCT
ejpam-5691	30	15	which	which	PRON
ejpam-5691	30	16	was	be	AUX
ejpam-5691	30	17	projected	project	VERB
ejpam-5691	30	18	by	by	ADP
ejpam-5691	30	19	zadeh	zadeh	PROPN
ejpam-5691	30	20	in	in	ADP
ejpam-5691	30	21	1965	1965	NUM
ejpam-5691	30	22	.	.	PUNCT
ejpam-5691	31	1	atanassov	atanassov	PROPN
ejpam-5691	32	1	[	[	X
ejpam-5691	32	2	7	7	NUM
ejpam-5691	32	3	]	]	X
ejpam-5691	32	4	]	]	PUNCT
ejpam-5691	32	5	expanded	expand	VERB
ejpam-5691	32	6	the	the	DET
ejpam-5691	32	7	concept	concept	NOUN
ejpam-5691	32	8	of	of	ADP
ejpam-5691	32	9	the	the	DET
ejpam-5691	32	10	intuitionistic	intuitionistic	ADJ
ejpam-5691	32	11	fuzzy	fuzzy	ADJ
ejpam-5691	32	12	sets	set	NOUN
ejpam-5691	32	13	as	as	ADP
ejpam-5691	32	14	the	the	DET
ejpam-5691	32	15	membership	membership	NOUN
ejpam-5691	32	16	and	and	CCONJ
ejpam-5691	32	17	non	non	ADJ
ejpam-5691	32	18	-	-	ADJ
ejpam-5691	32	19	belonging	belonging	ADJ
ejpam-5691	32	20	degrees	degree	NOUN
ejpam-5691	32	21	.	.	PUNCT
ejpam-5691	33	1	a	a	DET
ejpam-5691	33	2	versatile	versatile	ADJ
ejpam-5691	33	3	and	and	CCONJ
ejpam-5691	33	4	successful	successful	ADJ
ejpam-5691	33	5	framework	framework	NOUN
ejpam-5691	33	6	for	for	ADP
ejpam-5691	33	7	handling	handle	VERB
ejpam-5691	33	8	complex	complex	ADJ
ejpam-5691	33	9	madm	madm	NOUN
ejpam-5691	33	10	scenarios	scenario	NOUN
ejpam-5691	33	11	is	be	AUX
ejpam-5691	33	12	probability	probability	NOUN
ejpam-5691	33	13	fuzzy	fuzzy	ADJ
ejpam-5691	33	14	sets	set	NOUN
ejpam-5691	33	15	.	.	PUNCT
ejpam-5691	34	1	yager	yager	NOUN
ejpam-5691	35	1	[	[	X
ejpam-5691	35	2	45	45	NUM
ejpam-5691	35	3	]	]	PUNCT
ejpam-5691	35	4	expanded	expand	VERB
ejpam-5691	35	5	this	this	DET
ejpam-5691	35	6	approach	approach	NOUN
ejpam-5691	35	7	by	by	ADP
ejpam-5691	35	8	introducing	introduce	VERB
ejpam-5691	35	9	q	q	ADJ
ejpam-5691	35	10	-	-	PUNCT
ejpam-5691	35	11	rung	rung	ADJ
ejpam-5691	35	12	orthopair	orthopair	ADJ
ejpam-5691	35	13	fuzzy	fuzzy	ADJ
ejpam-5691	35	14	sets	set	NOUN
ejpam-5691	35	15	.	.	PUNCT
ejpam-5691	36	1	1.1	1.1	NUM
ejpam-5691	36	2	.	.	PUNCT
ejpam-5691	37	1	literature	literature	PROPN
ejpam-5691	37	2	review	review	PROPN
ejpam-5691	37	3	zadeh	zadeh	PROPN
ejpam-5691	38	1	[	[	X
ejpam-5691	38	2	47	47	NUM
ejpam-5691	38	3	]	]	PUNCT
ejpam-5691	38	4	introduced	introduce	VERB
ejpam-5691	38	5	the	the	DET
ejpam-5691	38	6	fuzzy	fuzzy	ADJ
ejpam-5691	38	7	sets	set	NOUN
ejpam-5691	38	8	.	.	PUNCT
ejpam-5691	39	1	fuzzy	fuzzy	ADJ
ejpam-5691	39	2	sets	set	NOUN
ejpam-5691	39	3	are	be	AUX
ejpam-5691	39	4	widely	widely	ADV
ejpam-5691	39	5	applied	apply	VERB
ejpam-5691	39	6	in	in	ADP
ejpam-5691	39	7	modeling	model	VERB
ejpam-5691	39	8	uncertainty	uncertainty	NOUN
ejpam-5691	39	9	across	across	ADP
ejpam-5691	39	10	fields	field	NOUN
ejpam-5691	39	11	such	such	ADJ
ejpam-5691	39	12	as	as	ADP
ejpam-5691	39	13	decision	decision	NOUN
ejpam-5691	39	14	-	-	PUNCT
ejpam-5691	39	15	making	making	NOUN
ejpam-5691	39	16	and	and	CCONJ
ejpam-5691	39	17	artificial	artificial	ADJ
ejpam-5691	39	18	intelligence	intelligence	NOUN
ejpam-5691	39	19	,	,	PUNCT
ejpam-5691	39	20	while	while	SCONJ
ejpam-5691	39	21	intuitionistic	intuitionistic	ADJ
ejpam-5691	39	22	fuzzy	fuzzy	ADJ
ejpam-5691	39	23	sets	set	NOUN
ejpam-5691	39	24	and	and	CCONJ
ejpam-5691	39	25	others	other	NOUN
ejpam-5691	39	26	extend	extend	VERB
ejpam-5691	39	27	this	this	DET
ejpam-5691	39	28	framework	framework	NOUN
ejpam-5691	39	29	by	by	ADP
ejpam-5691	39	30	incorporating	incorporate	VERB
ejpam-5691	39	31	hesitation	hesitation	NOUN
ejpam-5691	39	32	degrees	degree	NOUN
ejpam-5691	39	33	,	,	PUNCT
ejpam-5691	39	34	enhancing	enhance	VERB
ejpam-5691	39	35	applications	application	NOUN
ejpam-5691	39	36	in	in	ADP
ejpam-5691	39	37	complex	complex	ADJ
ejpam-5691	39	38	decision	decision	NOUN
ejpam-5691	39	39	-	-	PUNCT
ejpam-5691	39	40	making	make	VERB
ejpam-5691	39	41	scenarios	scenario	NOUN
ejpam-5691	39	42	[	[	X
ejpam-5691	39	43	31–33	31–33	NUM
ejpam-5691	39	44	]	]	PUNCT
ejpam-5691	39	45	.	.	PUNCT
ejpam-5691	40	1	pythagorean	pythagorean	PROPN
ejpam-5691	40	2	fuzzy	fuzzy	ADJ
ejpam-5691	40	3	sets	set	NOUN
ejpam-5691	40	4	,	,	PUNCT
ejpam-5691	40	5	and	and	CCONJ
ejpam-5691	40	6	q	q	X
ejpam-5691	40	7	-	-	PUNCT
ejpam-5691	40	8	rung	rung	ADJ
ejpam-5691	40	9	orthopair	orthopair	ADJ
ejpam-5691	40	10	fuzzy	fuzzy	ADJ
ejpam-5691	40	11	sets	set	NOUN
ejpam-5691	40	12	introduced	introduce	VERB
ejpam-5691	40	13	by	by	ADP
ejpam-5691	40	14	yager	yager	NOUN
ejpam-5691	41	1	[	[	X
ejpam-5691	41	2	44	44	NUM
ejpam-5691	41	3	]	]	PUNCT
ejpam-5691	41	4	,	,	PUNCT
ejpam-5691	41	5	as	as	ADV
ejpam-5691	41	6	well	well	ADV
ejpam-5691	41	7	as	as	ADP
ejpam-5691	41	8	fermatean	fermatean	ADJ
ejpam-5691	41	9	fuzzy	fuzzy	ADJ
ejpam-5691	41	10	sets	set	NOUN
ejpam-5691	41	11	introduced	introduce	VERB
ejpam-5691	41	12	by	by	ADP
ejpam-5691	41	13	senapati	senapati	PROPN
ejpam-5691	41	14	and	and	CCONJ
ejpam-5691	41	15	yager	yager	NOUN
ejpam-5691	42	1	[	[	X
ejpam-5691	42	2	34	34	NUM
ejpam-5691	42	3	]	]	PUNCT
ejpam-5691	42	4	.	.	PUNCT
ejpam-5691	43	1	notably	notably	ADV
ejpam-5691	43	2	,	,	PUNCT
ejpam-5691	43	3	ffss	ffss	NOUN
ejpam-5691	43	4	provide	provide	VERB
ejpam-5691	43	5	a	a	DET
ejpam-5691	43	6	higher	high	ADJ
ejpam-5691	43	7	level	level	NOUN
ejpam-5691	43	8	of	of	ADP
ejpam-5691	43	9	generalization	generalization	NOUN
ejpam-5691	43	10	and	and	CCONJ
ejpam-5691	43	11	applicability	applicability	NOUN
ejpam-5691	43	12	than	than	ADP
ejpam-5691	43	13	both	both	CCONJ
ejpam-5691	43	14	intuitionistic	intuitionistic	ADJ
ejpam-5691	43	15	fuzzy	fuzzy	ADJ
ejpam-5691	43	16	sets	set	NOUN
ejpam-5691	43	17	and	and	CCONJ
ejpam-5691	43	18	pfss	pfss	NOUN
ejpam-5691	43	19	,	,	PUNCT
ejpam-5691	43	20	due	due	ADP
ejpam-5691	43	21	to	to	ADP
ejpam-5691	43	22	their	their	PRON
ejpam-5691	43	23	enhanced	enhance	VERB
ejpam-5691	43	24	ability	ability	NOUN
ejpam-5691	43	25	to	to	PART
ejpam-5691	43	26	capture	capture	VERB
ejpam-5691	43	27	and	and	CCONJ
ejpam-5691	43	28	represent	represent	VERB
ejpam-5691	43	29	relevant	relevant	ADJ
ejpam-5691	43	30	information	information	NOUN
ejpam-5691	43	31	effectively	effectively	ADV
ejpam-5691	43	32	.	.	PUNCT
ejpam-5691	44	1	additionally	additionally	ADV
ejpam-5691	44	2	,	,	PUNCT
ejpam-5691	44	3	he	he	PRON
ejpam-5691	44	4	developed	develop	VERB
ejpam-5691	44	5	four	four	NUM
ejpam-5691	44	6	distinct	distinct	ADJ
ejpam-5691	44	7	cosine	cosine	NOUN
ejpam-5691	44	8	similarity	similarity	NOUN
ejpam-5691	44	9	measures	measure	NOUN
ejpam-5691	44	10	for	for	ADP
ejpam-5691	44	11	fuzzy	fuzzy	ADJ
ejpam-5691	44	12	sets	set	NOUN
ejpam-5691	44	13	,	,	PUNCT
ejpam-5691	44	14	demonstrating	demonstrate	VERB
ejpam-5691	44	15	the	the	DET
ejpam-5691	44	16	utility	utility	NOUN
ejpam-5691	44	17	of	of	ADP
ejpam-5691	44	18	his	his	PRON
ejpam-5691	44	19	approach	approach	NOUN
ejpam-5691	44	20	through	through	ADP
ejpam-5691	44	21	a	a	DET
ejpam-5691	44	22	numerical	numerical	ADJ
ejpam-5691	44	23	example	example	NOUN
ejpam-5691	44	24	evaluating	evaluate	VERB
ejpam-5691	44	25	third	third	ADJ
ejpam-5691	44	26	-	-	PUNCT
ejpam-5691	44	27	party	party	NOUN
ejpam-5691	44	28	logistics	logistic	NOUN
ejpam-5691	44	29	firms	firm	NOUN
ejpam-5691	44	30	in	in	ADP
ejpam-5691	44	31	cold	cold	ADJ
ejpam-5691	44	32	chain	chain	NOUN
ejpam-5691	44	33	management	management	NOUN
ejpam-5691	44	34	.	.	PUNCT
ejpam-5691	45	1	ahmad	ahmad	PROPN
ejpam-5691	45	2	et	et	PROPN
ejpam-5691	45	3	al	al	PROPN
ejpam-5691	45	4	.	.	PUNCT
ejpam-5691	46	1	[	[	X
ejpam-5691	46	2	2	2	X
ejpam-5691	46	3	]	]	PUNCT
ejpam-5691	46	4	conducted	conduct	VERB
ejpam-5691	46	5	an	an	DET
ejpam-5691	46	6	analysis	analysis	NOUN
ejpam-5691	46	7	of	of	ADP
ejpam-5691	46	8	the	the	DET
ejpam-5691	46	9	performance	performance	NOUN
ejpam-5691	46	10	of	of	ADP
ejpam-5691	46	11	various	various	ADJ
ejpam-5691	46	12	graph	graph	NOUN
ejpam-5691	46	13	operations	operation	NOUN
ejpam-5691	46	14	within	within	ADP
ejpam-5691	46	15	these	these	DET
ejpam-5691	46	16	frameworks	framework	NOUN
ejpam-5691	46	17	.	.	PUNCT
ejpam-5691	47	1	following	follow	VERB
ejpam-5691	47	2	this	this	PRON
ejpam-5691	47	3	,	,	PUNCT
ejpam-5691	47	4	ahmad	ahmad	PROPN
ejpam-5691	47	5	et	et	PROPN
ejpam-5691	47	6	al	al	PROPN
ejpam-5691	47	7	.	.	PUNCT
ejpam-5691	48	1	[	[	X
ejpam-5691	48	2	1	1	X
ejpam-5691	48	3	]	]	PUNCT
ejpam-5691	48	4	explored	explore	VERB
ejpam-5691	48	5	the	the	DET
ejpam-5691	48	6	comparative	comparative	ADJ
ejpam-5691	48	7	analysis	analysis	NOUN
ejpam-5691	48	8	that	that	PRON
ejpam-5691	48	9	confirmed	confirm	VERB
ejpam-5691	48	10	the	the	DET
ejpam-5691	48	11	model	model	NOUN
ejpam-5691	48	12	’s	’s	PART
ejpam-5691	48	13	credibility	credibility	NOUN
ejpam-5691	48	14	and	and	CCONJ
ejpam-5691	48	15	reliability	reliability	NOUN
ejpam-5691	48	16	while	while	SCONJ
ejpam-5691	48	17	thoroughly	thoroughly	ADV
ejpam-5691	48	18	outlining	outline	VERB
ejpam-5691	48	19	a.	a.	NOUN
ejpam-5691	48	20	fahmi	fahmi	PROPN
ejpam-5691	48	21	et	et	PROPN
ejpam-5691	48	22	al	al	PROPN
ejpam-5691	48	23	.	.	PUNCT
ejpam-5691	48	24	/	/	SYM
ejpam-5691	48	25	eur	eur	PROPN
ejpam-5691	48	26	.	.	PUNCT
ejpam-5691	49	1	j.	j.	PROPN
ejpam-5691	49	2	pure	pure	PROPN
ejpam-5691	49	3	appl	appl	PROPN
ejpam-5691	49	4	.	.	PROPN
ejpam-5691	49	5	math	math	PROPN
ejpam-5691	49	6	,	,	PUNCT
ejpam-5691	49	7	18	18	NUM
ejpam-5691	49	8	(	(	PUNCT
ejpam-5691	49	9	1	1	NUM
ejpam-5691	49	10	)	)	PUNCT
ejpam-5691	49	11	(	(	PUNCT
ejpam-5691	49	12	2025	2025	NUM
ejpam-5691	49	13	)	)	PUNCT
ejpam-5691	49	14	,	,	PUNCT
ejpam-5691	49	15	5691	5691	NUM
ejpam-5691	49	16	3	3	NUM
ejpam-5691	49	17	of	of	ADP
ejpam-5691	49	18	32	32	NUM
ejpam-5691	49	19	its	its	PRON
ejpam-5691	49	20	strengths	strength	NOUN
ejpam-5691	49	21	and	and	CCONJ
ejpam-5691	49	22	limitations	limitation	NOUN
ejpam-5691	49	23	.	.	PUNCT
ejpam-5691	50	1	they	they	PRON
ejpam-5691	50	2	also	also	ADV
ejpam-5691	50	3	introduced	introduce	VERB
ejpam-5691	50	4	an	an	DET
ejpam-5691	50	5	enhanced	enhanced	ADJ
ejpam-5691	50	6	assessment	assessment	NOUN
ejpam-5691	50	7	founded	found	VERB
ejpam-5691	50	8	on	on	ADP
ejpam-5691	50	9	distance	distance	NOUN
ejpam-5691	50	10	from	from	ADP
ejpam-5691	50	11	average	average	ADJ
ejpam-5691	50	12	solution	solution	NOUN
ejpam-5691	50	13	approach	approach	NOUN
ejpam-5691	50	14	,	,	PUNCT
ejpam-5691	50	15	integrating	integrate	VERB
ejpam-5691	50	16	novel	novel	ADJ
ejpam-5691	50	17	concepts	concept	NOUN
ejpam-5691	50	18	to	to	PART
ejpam-5691	50	19	address	address	VERB
ejpam-5691	50	20	decisionmaking	decisionmake	VERB
ejpam-5691	50	21	challenges	challenge	NOUN
ejpam-5691	50	22	arising	arise	VERB
ejpam-5691	50	23	from	from	ADP
ejpam-5691	50	24	entirely	entirely	ADV
ejpam-5691	50	25	unknown	unknown	ADJ
ejpam-5691	50	26	criteria	criterion	NOUN
ejpam-5691	50	27	weights	weight	VERB
ejpam-5691	50	28	[	[	X
ejpam-5691	50	29	6	6	NUM
ejpam-5691	50	30	]	]	PUNCT
ejpam-5691	50	31	.	.	PUNCT
ejpam-5691	51	1	akram	akram	PROPN
ejpam-5691	51	2	et	et	PROPN
ejpam-5691	51	3	al	al	PROPN
ejpam-5691	51	4	.	.	PUNCT
ejpam-5691	52	1	[	[	X
ejpam-5691	52	2	3	3	NUM
ejpam-5691	52	3	]	]	X
ejpam-5691	52	4	utilized	utilize	VERB
ejpam-5691	52	5	these	these	DET
ejpam-5691	52	6	operators	operator	NOUN
ejpam-5691	52	7	to	to	PART
ejpam-5691	52	8	investigate	investigate	VERB
ejpam-5691	52	9	a	a	DET
ejpam-5691	52	10	range	range	NOUN
ejpam-5691	52	11	of	of	ADP
ejpam-5691	52	12	recurring	recur	VERB
ejpam-5691	52	13	issues	issue	NOUN
ejpam-5691	52	14	,	,	PUNCT
ejpam-5691	52	15	implementing	implement	VERB
ejpam-5691	52	16	them	they	PRON
ejpam-5691	52	17	in	in	ADP
ejpam-5691	52	18	multi	multi	ADJ
ejpam-5691	52	19	-	-	ADJ
ejpam-5691	52	20	attribute	attribute	NOUN
ejpam-5691	52	21	decision	decision	NOUN
ejpam-5691	52	22	-	-	PUNCT
ejpam-5691	52	23	making	make	VERB
ejpam-5691	52	24	problems	problem	NOUN
ejpam-5691	52	25	and	and	CCONJ
ejpam-5691	52	26	for	for	ADP
ejpam-5691	52	27	wireless	wireless	ADJ
ejpam-5691	52	28	location	location	NOUN
ejpam-5691	52	29	detection	detection	NOUN
ejpam-5691	52	30	.	.	PUNCT
ejpam-5691	53	1	foundational	foundational	ADJ
ejpam-5691	53	2	ideas	idea	NOUN
ejpam-5691	53	3	and	and	CCONJ
ejpam-5691	53	4	important	important	ADJ
ejpam-5691	53	5	results	result	NOUN
ejpam-5691	53	6	for	for	ADP
ejpam-5691	53	7	the	the	DET
ejpam-5691	53	8	pythagorean	pythagorean	ADJ
ejpam-5691	53	9	fuzzy	fuzzy	ADJ
ejpam-5691	53	10	laplace	laplace	NOUN
ejpam-5691	53	11	and	and	CCONJ
ejpam-5691	53	12	fourier	fourier	NOUN
ejpam-5691	53	13	transforms	transform	NOUN
ejpam-5691	53	14	were	be	AUX
ejpam-5691	53	15	established	establish	VERB
ejpam-5691	53	16	by	by	ADP
ejpam-5691	53	17	akram	akram	PROPN
ejpam-5691	53	18	et	et	PROPN
ejpam-5691	53	19	al	al	PROPN
ejpam-5691	53	20	.	.	PUNCT
ejpam-5691	54	1	[	[	X
ejpam-5691	54	2	4	4	NUM
ejpam-5691	54	3	,	,	PUNCT
ejpam-5691	54	4	5	5	NUM
ejpam-5691	54	5	]	]	PUNCT
ejpam-5691	54	6	.	.	PUNCT
ejpam-5691	55	1	zadeh	zadeh	PROPN
ejpam-5691	55	2	proposed	propose	VERB
ejpam-5691	55	3	fuzzy	fuzzy	ADJ
ejpam-5691	55	4	sets	set	NOUN
ejpam-5691	55	5	in	in	ADP
ejpam-5691	55	6	1965	1965	NUM
ejpam-5691	55	7	,	,	PUNCT
ejpam-5691	55	8	in	in	ADP
ejpam-5691	55	9	which	which	PRON
ejpam-5691	55	10	every	every	DET
ejpam-5691	55	11	element	element	NOUN
ejpam-5691	55	12	has	have	VERB
ejpam-5691	55	13	a	a	DET
ejpam-5691	55	14	membership	membership	NOUN
ejpam-5691	55	15	function	function	NOUN
ejpam-5691	55	16	given	give	VERB
ejpam-5691	55	17	to	to	ADP
ejpam-5691	55	18	it	it	PRON
ejpam-5691	55	19	.	.	PUNCT
ejpam-5691	56	1	since	since	SCONJ
ejpam-5691	56	2	then	then	ADV
ejpam-5691	56	3	,	,	PUNCT
ejpam-5691	56	4	several	several	ADJ
ejpam-5691	56	5	extensions	extension	NOUN
ejpam-5691	56	6	have	have	AUX
ejpam-5691	56	7	been	be	AUX
ejpam-5691	56	8	created	create	VERB
ejpam-5691	56	9	,	,	PUNCT
ejpam-5691	56	10	such	such	ADJ
ejpam-5691	56	11	as	as	ADP
ejpam-5691	56	12	atanassov	atanassov	NOUN
ejpam-5691	56	13	’s	’s	PART
ejpam-5691	56	14	intuitionistic	intuitionistic	ADJ
ejpam-5691	56	15	fuzzy	fuzzy	ADJ
ejpam-5691	56	16	sets	set	NOUN
ejpam-5691	56	17	[	[	X
ejpam-5691	56	18	7	7	NUM
ejpam-5691	56	19	]	]	PUNCT
ejpam-5691	56	20	.	.	PUNCT
ejpam-5691	57	1	aydin	aydin	VERB
ejpam-5691	57	2	[	[	X
ejpam-5691	57	3	8	8	NUM
ejpam-5691	57	4	]	]	PUNCT
ejpam-5691	57	5	developed	develop	VERB
ejpam-5691	57	6	a	a	DET
ejpam-5691	57	7	new	new	ADJ
ejpam-5691	57	8	fuzzy	fuzzy	ADJ
ejpam-5691	57	9	entropy	entropy	NOUN
ejpam-5691	57	10	metric	metric	NOUN
ejpam-5691	57	11	based	base	VERB
ejpam-5691	57	12	on	on	ADP
ejpam-5691	57	13	the	the	DET
ejpam-5691	57	14	euclidean	euclidean	ADJ
ejpam-5691	57	15	distance	distance	NOUN
ejpam-5691	57	16	between	between	ADP
ejpam-5691	57	17	fuzzy	fuzzy	ADJ
ejpam-5691	57	18	integers	integer	NOUN
ejpam-5691	57	19	and	and	CCONJ
ejpam-5691	57	20	their	their	PRON
ejpam-5691	57	21	complements	complement	NOUN
ejpam-5691	57	22	using	use	VERB
ejpam-5691	57	23	entropy	entropy	NOUN
ejpam-5691	57	24	theory	theory	NOUN
ejpam-5691	57	25	.	.	PUNCT
ejpam-5691	58	1	additionally	additionally	ADV
ejpam-5691	58	2	,	,	PUNCT
ejpam-5691	58	3	deng	deng	PROPN
ejpam-5691	58	4	and	and	CCONJ
ejpam-5691	58	5	wang	wang	PROPN
ejpam-5691	59	1	[	[	X
ejpam-5691	59	2	10	10	NUM
ejpam-5691	59	3	]	]	PUNCT
ejpam-5691	59	4	created	create	VERB
ejpam-5691	59	5	two	two	NUM
ejpam-5691	59	6	innovative	innovative	ADJ
ejpam-5691	59	7	distance	distance	NOUN
ejpam-5691	59	8	measurement	measurement	NOUN
ejpam-5691	59	9	techniques	technique	NOUN
ejpam-5691	59	10	especially	especially	ADV
ejpam-5691	59	11	suited	suit	VERB
ejpam-5691	59	12	for	for	ADP
ejpam-5691	59	13	fermatean	fermatean	ADJ
ejpam-5691	59	14	fuzzy	fuzzy	ADJ
ejpam-5691	59	15	sets	set	NOUN
ejpam-5691	59	16	in	in	ADP
ejpam-5691	59	17	order	order	NOUN
ejpam-5691	59	18	to	to	PART
ejpam-5691	59	19	tackle	tackle	VERB
ejpam-5691	59	20	difficulties	difficulty	NOUN
ejpam-5691	59	21	in	in	ADP
ejpam-5691	59	22	medical	medical	ADJ
ejpam-5691	59	23	diagnosis	diagnosis	NOUN
ejpam-5691	59	24	and	and	CCONJ
ejpam-5691	59	25	pattern	pattern	NOUN
ejpam-5691	59	26	identification	identification	NOUN
ejpam-5691	59	27	.	.	PUNCT
ejpam-5691	60	1	triangular	triangular	NOUN
ejpam-5691	60	2	cubic	cubic	ADJ
ejpam-5691	60	3	fuzzy	fuzzy	ADJ
ejpam-5691	60	4	sets	set	NOUN
ejpam-5691	60	5	were	be	AUX
ejpam-5691	60	6	proposed	propose	VERB
ejpam-5691	60	7	by	by	ADP
ejpam-5691	60	8	aliya	aliya	PROPN
ejpam-5691	60	9	et	et	PROPN
ejpam-5691	60	10	al	al	PROPN
ejpam-5691	60	11	.	.	PUNCT
ejpam-5691	61	1	[	[	X
ejpam-5691	61	2	14	14	NUM
ejpam-5691	61	3	]	]	PUNCT
ejpam-5691	61	4	.	.	PUNCT
ejpam-5691	62	1	in	in	ADP
ejpam-5691	62	2	[	[	X
ejpam-5691	62	3	16	16	NUM
ejpam-5691	62	4	]	]	PUNCT
ejpam-5691	62	5	,	,	PUNCT
ejpam-5691	62	6	aliya	aliya	NOUN
ejpam-5691	62	7	and	and	CCONJ
ejpam-5691	62	8	colleagues	colleague	NOUN
ejpam-5691	62	9	proposed	propose	VERB
ejpam-5691	62	10	einstein	einstein	PROPN
ejpam-5691	62	11	aggregation	aggregation	NOUN
ejpam-5691	62	12	operators	operator	NOUN
ejpam-5691	62	13	.	.	PUNCT
ejpam-5691	63	1	the	the	DET
ejpam-5691	63	2	vikor	vikor	ADJ
ejpam-5691	63	3	approaches	approach	NOUN
ejpam-5691	63	4	were	be	AUX
ejpam-5691	63	5	proposed	propose	VERB
ejpam-5691	63	6	by	by	ADP
ejpam-5691	63	7	aliya	aliya	PROPN
ejpam-5691	63	8	et	et	PROPN
ejpam-5691	63	9	al	al	PROPN
ejpam-5691	63	10	.	.	PUNCT
ejpam-5691	64	1	[	[	X
ejpam-5691	64	2	13	13	NUM
ejpam-5691	64	3	]	]	PUNCT
ejpam-5691	64	4	.	.	PUNCT
ejpam-5691	65	1	the	the	DET
ejpam-5691	65	2	operational	operational	ADJ
ejpam-5691	65	3	laws	law	NOUN
ejpam-5691	65	4	of	of	ADP
ejpam-5691	65	5	triangular	triangular	NOUN
ejpam-5691	65	6	cubic	cubic	ADJ
ejpam-5691	65	7	fuzzy	fuzzy	ADJ
ejpam-5691	65	8	sets	set	NOUN
ejpam-5691	65	9	were	be	AUX
ejpam-5691	65	10	suggested	suggest	VERB
ejpam-5691	65	11	by	by	ADP
ejpam-5691	65	12	aliya	aliya	PROPN
ejpam-5691	65	13	et	et	PROPN
ejpam-5691	65	14	al	al	PROPN
ejpam-5691	65	15	.	.	PUNCT
ejpam-5691	66	1	[	[	X
ejpam-5691	66	2	12	12	NUM
ejpam-5691	66	3	]	]	PUNCT
ejpam-5691	66	4	.	.	PUNCT
ejpam-5691	67	1	the	the	DET
ejpam-5691	67	2	generalized	generalized	ADJ
ejpam-5691	67	3	interval	interval	NOUN
ejpam-5691	67	4	-	-	PUNCT
ejpam-5691	67	5	valued	value	VERB
ejpam-5691	67	6	bipolar	bipolar	ADJ
ejpam-5691	67	7	neutrosophic	neutrosophic	ADJ
ejpam-5691	67	8	einstein	einstein	PROPN
ejpam-5691	67	9	fuzzy	fuzzy	ADJ
ejpam-5691	67	10	aggregation	aggregation	NOUN
ejpam-5691	67	11	operator	operator	NOUN
ejpam-5691	67	12	was	be	AUX
ejpam-5691	67	13	proposed	propose	VERB
ejpam-5691	67	14	by	by	ADP
ejpam-5691	67	15	aliya	aliya	PROPN
ejpam-5691	67	16	et	et	PROPN
ejpam-5691	67	17	al	al	PROPN
ejpam-5691	67	18	.	.	PUNCT
ejpam-5691	68	1	[	[	X
ejpam-5691	68	2	18	18	NUM
ejpam-5691	68	3	]	]	PUNCT
ejpam-5691	68	4	.	.	PUNCT
ejpam-5691	69	1	the	the	DET
ejpam-5691	69	2	fermatean	fermatean	ADJ
ejpam-5691	69	3	fuzzy	fuzzy	ADJ
ejpam-5691	69	4	sets	set	NOUN
ejpam-5691	69	5	were	be	AUX
ejpam-5691	69	6	proposed	propose	VERB
ejpam-5691	69	7	by	by	ADP
ejpam-5691	69	8	aliya	aliya	PROPN
ejpam-5691	69	9	et	et	PROPN
ejpam-5691	69	10	al	al	PROPN
ejpam-5691	69	11	.	.	PUNCT
ejpam-5691	70	1	[	[	X
ejpam-5691	70	2	17	17	NUM
ejpam-5691	70	3	]	]	PUNCT
ejpam-5691	70	4	.	.	PUNCT
ejpam-5691	71	1	the	the	DET
ejpam-5691	71	2	blending	blend	VERB
ejpam-5691	71	3	regret	regret	NOUN
ejpam-5691	71	4	philosophy	philosophy	NOUN
ejpam-5691	71	5	ddas	dda	VERB
ejpam-5691	71	6	method	method	NOUN
ejpam-5691	71	7	in	in	ADP
ejpam-5691	71	8	fermatean	fermatean	ADJ
ejpam-5691	71	9	fuzzy	fuzzy	ADJ
ejpam-5691	71	10	numbers	number	NOUN
ejpam-5691	71	11	was	be	AUX
ejpam-5691	71	12	proposed	propose	VERB
ejpam-5691	71	13	by	by	ADP
ejpam-5691	71	14	aliya	aliya	PROPN
ejpam-5691	71	15	et	et	PROPN
ejpam-5691	71	16	al	al	PROPN
ejpam-5691	71	17	.	.	PUNCT
ejpam-5691	72	1	[	[	X
ejpam-5691	72	2	15	15	NUM
ejpam-5691	72	3	]	]	PUNCT
ejpam-5691	72	4	.	.	PUNCT
ejpam-5691	73	1	the	the	DET
ejpam-5691	73	2	topsis	topsis	NOUN
ejpam-5691	73	3	approach	approach	NOUN
ejpam-5691	73	4	was	be	AUX
ejpam-5691	73	5	proposed	propose	VERB
ejpam-5691	73	6	by	by	ADP
ejpam-5691	73	7	aliya	aliya	PROPN
ejpam-5691	73	8	et	et	PROPN
ejpam-5691	73	9	al	al	PROPN
ejpam-5691	73	10	.	.	PUNCT
ejpam-5691	74	1	[	[	X
ejpam-5691	74	2	11	11	NUM
ejpam-5691	74	3	]	]	PUNCT
ejpam-5691	74	4	.	.	PUNCT
ejpam-5691	75	1	the	the	DET
ejpam-5691	75	2	natural	natural	ADJ
ejpam-5691	75	3	gas	gas	NOUN
ejpam-5691	75	4	was	be	AUX
ejpam-5691	75	5	suggested	suggest	VERB
ejpam-5691	75	6	by	by	ADP
ejpam-5691	75	7	aliya	aliya	PROPN
ejpam-5691	75	8	et	et	PROPN
ejpam-5691	75	9	al	al	PROPN
ejpam-5691	75	10	.	.	PUNCT
ejpam-5691	76	1	[	[	X
ejpam-5691	76	2	19	19	NUM
ejpam-5691	76	3	]	]	PUNCT
ejpam-5691	76	4	.	.	PUNCT
ejpam-5691	77	1	the	the	DET
ejpam-5691	77	2	benefits	benefit	NOUN
ejpam-5691	77	3	of	of	ADP
ejpam-5691	77	4	these	these	DET
ejpam-5691	77	5	suggested	suggest	VERB
ejpam-5691	77	6	operators	operator	NOUN
ejpam-5691	77	7	were	be	AUX
ejpam-5691	77	8	thoroughly	thoroughly	ADV
ejpam-5691	77	9	discussed	discuss	VERB
ejpam-5691	77	10	by	by	ADP
ejpam-5691	77	11	garg	garg	PROPN
ejpam-5691	77	12	et	et	PROPN
ejpam-5691	77	13	al	al	PROPN
ejpam-5691	77	14	.	.	PUNCT
ejpam-5691	78	1	[	[	X
ejpam-5691	78	2	21	21	NUM
ejpam-5691	78	3	]	]	X
ejpam-5691	78	4	,	,	PUNCT
ejpam-5691	78	5	who	who	PRON
ejpam-5691	78	6	also	also	ADV
ejpam-5691	78	7	presented	present	VERB
ejpam-5691	78	8	a	a	DET
ejpam-5691	78	9	multi	multi	ADJ
ejpam-5691	78	10	-	-	ADJ
ejpam-5691	78	11	attribute	attribute	NOUN
ejpam-5691	78	12	decision	decision	NOUN
ejpam-5691	78	13	-	-	PUNCT
ejpam-5691	78	14	making	make	VERB
ejpam-5691	78	15	approach	approach	NOUN
ejpam-5691	78	16	and	and	CCONJ
ejpam-5691	78	17	showed	show	VERB
ejpam-5691	78	18	how	how	SCONJ
ejpam-5691	78	19	to	to	PART
ejpam-5691	78	20	use	use	VERB
ejpam-5691	78	21	it	it	PRON
ejpam-5691	78	22	in	in	ADP
ejpam-5691	78	23	practice	practice	NOUN
ejpam-5691	78	24	when	when	SCONJ
ejpam-5691	78	25	choosing	choose	VERB
ejpam-5691	78	26	a	a	DET
ejpam-5691	78	27	trustworthy	trustworthy	ADJ
ejpam-5691	78	28	laboratory	laboratory	NOUN
ejpam-5691	78	29	for	for	ADP
ejpam-5691	78	30	covid-19	covid-19	PROPN
ejpam-5691	78	31	testing	testing	NOUN
ejpam-5691	78	32	.	.	PUNCT
ejpam-5691	79	1	in	in	ADP
ejpam-5691	79	2	the	the	DET
ejpam-5691	79	3	context	context	NOUN
ejpam-5691	79	4	of	of	ADP
ejpam-5691	79	5	fermatean	fermatean	ADJ
ejpam-5691	79	6	fuzzy	fuzzy	ADJ
ejpam-5691	79	7	sets	set	NOUN
ejpam-5691	79	8	,	,	PUNCT
ejpam-5691	79	9	hadi	hadi	PROPN
ejpam-5691	79	10	et	et	PROPN
ejpam-5691	79	11	al	al	PROPN
ejpam-5691	79	12	.	.	PUNCT
ejpam-5691	80	1	[	[	X
ejpam-5691	80	2	23	23	NUM
ejpam-5691	80	3	]	]	PUNCT
ejpam-5691	80	4	created	create	VERB
ejpam-5691	80	5	new	new	ADJ
ejpam-5691	80	6	techniques	technique	NOUN
ejpam-5691	80	7	based	base	VERB
ejpam-5691	80	8	on	on	ADP
ejpam-5691	80	9	the	the	DET
ejpam-5691	80	10	hamacher	hamacher	NOUN
ejpam-5691	80	11	t	t	PROPN
ejpam-5691	80	12	-	-	PUNCT
ejpam-5691	80	13	conorm	conorm	NOUN
ejpam-5691	80	14	and	and	CCONJ
ejpam-5691	80	15	t	t	NOUN
ejpam-5691	80	16	-	-	PUNCT
ejpam-5691	80	17	norm	norm	NOUN
ejpam-5691	80	18	,	,	PUNCT
ejpam-5691	80	19	highlighting	highlight	VERB
ejpam-5691	80	20	their	their	PRON
ejpam-5691	80	21	key	key	ADJ
ejpam-5691	80	22	features	feature	NOUN
ejpam-5691	80	23	.	.	PUNCT
ejpam-5691	81	1	motivated	motivate	VERB
ejpam-5691	81	2	by	by	ADP
ejpam-5691	81	3	the	the	DET
ejpam-5691	81	4	ideas	idea	NOUN
ejpam-5691	81	5	of	of	ADP
ejpam-5691	81	6	ffss	ffss	NOUN
ejpam-5691	81	7	and	and	CCONJ
ejpam-5691	81	8	hamacher	hamacher	NOUN
ejpam-5691	81	9	operations	operation	NOUN
ejpam-5691	81	10	,	,	PUNCT
ejpam-5691	81	11	they	they	PRON
ejpam-5691	81	12	also	also	ADV
ejpam-5691	81	13	presented	present	VERB
ejpam-5691	81	14	ffhamacher	ffhamacher	ADV
ejpam-5691	81	15	arithmetic	arithmetic	ADJ
ejpam-5691	81	16	and	and	CCONJ
ejpam-5691	81	17	geometric	geometric	ADJ
ejpam-5691	81	18	aos	aos	PROPN
ejpam-5691	81	19	.	.	PUNCT
ejpam-5691	81	20	children	child	NOUN
ejpam-5691	81	21	from	from	ADP
ejpam-5691	81	22	the	the	DET
ejpam-5691	81	23	nearby	nearby	ADJ
ejpam-5691	81	24	town	town	NOUN
ejpam-5691	81	25	of	of	ADP
ejpam-5691	81	26	chendian	chendian	NOUN
ejpam-5691	81	27	and	and	CCONJ
ejpam-5691	81	28	those	those	PRON
ejpam-5691	81	29	from	from	ADP
ejpam-5691	81	30	the	the	DET
ejpam-5691	81	31	e	e	NOUN
ejpam-5691	81	32	-	-	NOUN
ejpam-5691	81	33	waste	waste	ADJ
ejpam-5691	81	34	recycling	recycling	NOUN
ejpam-5691	81	35	village	village	NOUN
ejpam-5691	81	36	of	of	ADP
ejpam-5691	81	37	guiyu	guiyu	PROPN
ejpam-5691	81	38	had	have	VERB
ejpam-5691	81	39	their	their	PRON
ejpam-5691	81	40	lead	lead	ADJ
ejpam-5691	81	41	levels	level	NOUN
ejpam-5691	81	42	compared	compare	VERB
ejpam-5691	81	43	by	by	ADP
ejpam-5691	81	44	hoa	hoa	PROPN
ejpam-5691	81	45	et	et	PROPN
ejpam-5691	81	46	al	al	PROPN
ejpam-5691	81	47	.	.	PUNCT
ejpam-5691	82	1	[	[	X
ejpam-5691	82	2	24	24	NUM
ejpam-5691	82	3	]	]	PUNCT
ejpam-5691	82	4	.	.	PUNCT
ejpam-5691	83	1	the	the	DET
ejpam-5691	83	2	suggested	suggest	VERB
ejpam-5691	83	3	method	method	NOUN
ejpam-5691	83	4	was	be	AUX
ejpam-5691	83	5	used	use	VERB
ejpam-5691	83	6	to	to	PART
ejpam-5691	83	7	present	present	VERB
ejpam-5691	83	8	a	a	DET
ejpam-5691	83	9	step	step	NOUN
ejpam-5691	83	10	-	-	PUNCT
ejpam-5691	83	11	by	by	ADP
ejpam-5691	83	12	-	-	PUNCT
ejpam-5691	83	13	step	step	NOUN
ejpam-5691	83	14	algorithm	algorithm	NOUN
ejpam-5691	83	15	for	for	ADP
ejpam-5691	83	16	decision	decision	NOUN
ejpam-5691	83	17	-	-	PUNCT
ejpam-5691	83	18	making	making	NOUN
ejpam-5691	83	19	as	as	ADV
ejpam-5691	83	20	well	well	ADV
ejpam-5691	83	21	as	as	ADP
ejpam-5691	83	22	a	a	DET
ejpam-5691	83	23	multi	multi	ADJ
ejpam-5691	83	24	-	-	ADJ
ejpam-5691	83	25	criteria	criterion	NOUN
ejpam-5691	83	26	decision	decision	NOUN
ejpam-5691	83	27	-	-	PUNCT
ejpam-5691	83	28	making	make	VERB
ejpam-5691	83	29	strategy	strategy	NOUN
ejpam-5691	83	30	[	[	X
ejpam-5691	83	31	25	25	NUM
ejpam-5691	83	32	]	]	PUNCT
ejpam-5691	83	33	.	.	PUNCT
ejpam-5691	84	1	a.	a.	PROPN
ejpam-5691	84	2	fahmi	fahmi	PROPN
ejpam-5691	84	3	et	et	PROPN
ejpam-5691	84	4	al	al	PROPN
ejpam-5691	84	5	.	.	PUNCT
ejpam-5691	84	6	/	/	SYM
ejpam-5691	84	7	eur	eur	PROPN
ejpam-5691	84	8	.	.	PUNCT
ejpam-5691	85	1	j.	j.	PROPN
ejpam-5691	85	2	pure	pure	PROPN
ejpam-5691	85	3	appl	appl	PROPN
ejpam-5691	85	4	.	.	PROPN
ejpam-5691	85	5	math	math	PROPN
ejpam-5691	85	6	,	,	PUNCT
ejpam-5691	85	7	18	18	NUM
ejpam-5691	85	8	(	(	PUNCT
ejpam-5691	85	9	1	1	NUM
ejpam-5691	85	10	)	)	PUNCT
ejpam-5691	85	11	(	(	PUNCT
ejpam-5691	85	12	2025	2025	NUM
ejpam-5691	85	13	)	)	PUNCT
ejpam-5691	85	14	,	,	PUNCT
ejpam-5691	85	15	5691	5691	NUM
ejpam-5691	85	16	4	4	NUM
ejpam-5691	85	17	of	of	ADP
ejpam-5691	85	18	32	32	NUM
ejpam-5691	85	19	figure	figure	NOUN
ejpam-5691	85	20	1	1	NUM
ejpam-5691	85	21	is	be	AUX
ejpam-5691	85	22	e	e	NOUN
ejpam-5691	85	23	-	-	NOUN
ejpam-5691	85	24	waste	waste	NOUN
ejpam-5691	85	25	as	as	ADP
ejpam-5691	85	26	below	below	ADP
ejpam-5691	85	27	figure	figure	NOUN
ejpam-5691	85	28	1	1	NUM
ejpam-5691	85	29	:	:	PUNCT
ejpam-5691	85	30	different	different	ADJ
ejpam-5691	85	31	technique	technique	NOUN
ejpam-5691	85	32	of	of	ADP
ejpam-5691	85	33	e	e	NOUN
ejpam-5691	85	34	-	-	NOUN
ejpam-5691	85	35	waste	waste	VERB
ejpam-5691	85	36	a	a	DET
ejpam-5691	85	37	framework	framework	NOUN
ejpam-5691	85	38	called	call	VERB
ejpam-5691	85	39	ff	ff	NOUN
ejpam-5691	85	40	-	-	PUNCT
ejpam-5691	85	41	critic	critic	NOUN
ejpam-5691	85	42	was	be	AUX
ejpam-5691	85	43	created	create	VERB
ejpam-5691	85	44	by	by	ADP
ejpam-5691	85	45	mishra	mishra	PROPN
ejpam-5691	85	46	et	et	PROPN
ejpam-5691	85	47	al	al	PROPN
ejpam-5691	85	48	.	.	PUNCT
ejpam-5691	86	1	[	[	X
ejpam-5691	86	2	29	29	NUM
ejpam-5691	86	3	]	]	PUNCT
ejpam-5691	86	4	to	to	PART
ejpam-5691	86	5	address	address	VERB
ejpam-5691	86	6	multiattribute	multiattribute	NOUN
ejpam-5691	86	7	decision	decision	NOUN
ejpam-5691	86	8	-	-	PUNCT
ejpam-5691	86	9	making	make	VERB
ejpam-5691	86	10	problems	problem	NOUN
ejpam-5691	86	11	.	.	PUNCT
ejpam-5691	87	1	a	a	DET
ejpam-5691	87	2	number	number	NOUN
ejpam-5691	87	3	of	of	ADP
ejpam-5691	87	4	aggregation	aggregation	NOUN
ejpam-5691	87	5	operators	operator	NOUN
ejpam-5691	87	6	under	under	ADP
ejpam-5691	87	7	fermatean	fermatean	ADJ
ejpam-5691	87	8	fuzzy	fuzzy	ADJ
ejpam-5691	87	9	sets	set	NOUN
ejpam-5691	87	10	were	be	AUX
ejpam-5691	87	11	introduced	introduce	VERB
ejpam-5691	87	12	by	by	ADP
ejpam-5691	87	13	shahzadi	shahzadi	PROPN
ejpam-5691	87	14	et	et	PROPN
ejpam-5691	87	15	al	al	PROPN
ejpam-5691	87	16	.	.	PUNCT
ejpam-5691	88	1	[	[	X
ejpam-5691	88	2	35	35	NUM
ejpam-5691	88	3	]	]	PUNCT
ejpam-5691	88	4	.	.	PUNCT
ejpam-5691	89	1	in	in	ADP
ejpam-5691	89	2	order	order	NOUN
ejpam-5691	89	3	to	to	PART
ejpam-5691	89	4	efficiently	efficiently	ADV
ejpam-5691	89	5	aggregate	aggregate	VERB
ejpam-5691	89	6	intervalvalued	intervalvalued	ADJ
ejpam-5691	89	7	data	datum	NOUN
ejpam-5691	89	8	and	and	CCONJ
ejpam-5691	89	9	metadata	metadata	PROPN
ejpam-5691	89	10	,	,	PUNCT
ejpam-5691	89	11	wang	wang	PROPN
ejpam-5691	89	12	and	and	CCONJ
ejpam-5691	89	13	liu	liu	PROPN
ejpam-5691	90	1	[	[	X
ejpam-5691	90	2	37	37	NUM
ejpam-5691	90	3	]	]	PUNCT
ejpam-5691	90	4	used	use	VERB
ejpam-5691	90	5	einstein	einstein	PROPN
ejpam-5691	90	6	aos	aos	PROPN
ejpam-5691	90	7	.	.	PROPN
ejpam-5691	91	1	for	for	ADP
ejpam-5691	91	2	evaluation	evaluation	NOUN
ejpam-5691	91	3	,	,	PUNCT
ejpam-5691	91	4	wang	wang	PROPN
ejpam-5691	91	5	et	et	PROPN
ejpam-5691	91	6	al	al	PROPN
ejpam-5691	91	7	.	.	PUNCT
ejpam-5691	92	1	[	[	X
ejpam-5691	92	2	36	36	NUM
ejpam-5691	92	3	]	]	PUNCT
ejpam-5691	92	4	used	use	VERB
ejpam-5691	92	5	pf	pf	PROPN
ejpam-5691	92	6	with	with	ADP
ejpam-5691	92	7	entropy	entropy	PROPN
ejpam-5691	92	8	weights	weights	PROPN
ejpam-5691	92	9	.	.	PUNCT
ejpam-5691	93	1	wei	wei	PROPN
ejpam-5691	94	1	[	[	X
ejpam-5691	94	2	38	38	NUM
ejpam-5691	94	3	]	]	PUNCT
ejpam-5691	94	4	contributed	contribute	VERB
ejpam-5691	94	5	by	by	ADP
ejpam-5691	94	6	proposing	propose	VERB
ejpam-5691	94	7	pf	pf	PROPN
ejpam-5691	94	8	interaction	interaction	NOUN
ejpam-5691	94	9	aos	aos	NOUN
ejpam-5691	94	10	and	and	CCONJ
ejpam-5691	94	11	exploring	explore	VERB
ejpam-5691	94	12	their	their	PRON
ejpam-5691	94	13	uses	use	NOUN
ejpam-5691	94	14	within	within	ADP
ejpam-5691	94	15	the	the	DET
ejpam-5691	94	16	madm	madm	NOUN
ejpam-5691	94	17	framework	framework	NOUN
ejpam-5691	94	18	.	.	PUNCT
ejpam-5691	95	1	wei	wei	PROPN
ejpam-5691	96	1	[	[	X
ejpam-5691	96	2	40	40	NUM
ejpam-5691	96	3	]	]	PUNCT
ejpam-5691	96	4	presented	present	VERB
ejpam-5691	96	5	a	a	DET
ejpam-5691	96	6	comprehensive	comprehensive	ADJ
ejpam-5691	96	7	suite	suite	NOUN
ejpam-5691	96	8	of	of	ADP
ejpam-5691	96	9	pythagorean	pythagorean	PROPN
ejpam-5691	96	10	fuzzy	fuzzy	ADJ
ejpam-5691	96	11	hamacher	hamacher	NOUN
ejpam-5691	96	12	power	power	NOUN
ejpam-5691	96	13	aggregation	aggregation	NOUN
ejpam-5691	96	14	operators	operator	NOUN
ejpam-5691	96	15	.	.	PUNCT
ejpam-5691	97	1	their	their	PRON
ejpam-5691	97	2	a.	a.	NOUN
ejpam-5691	97	3	fahmi	fahmi	PROPN
ejpam-5691	97	4	et	et	PROPN
ejpam-5691	97	5	al	al	PROPN
ejpam-5691	97	6	.	.	PUNCT
ejpam-5691	97	7	/	/	SYM
ejpam-5691	97	8	eur	eur	PROPN
ejpam-5691	97	9	.	.	PUNCT
ejpam-5691	98	1	j.	j.	PROPN
ejpam-5691	98	2	pure	pure	PROPN
ejpam-5691	98	3	appl	appl	PROPN
ejpam-5691	98	4	.	.	PROPN
ejpam-5691	98	5	math	math	PROPN
ejpam-5691	98	6	,	,	PUNCT
ejpam-5691	98	7	18	18	NUM
ejpam-5691	98	8	(	(	PUNCT
ejpam-5691	98	9	1	1	NUM
ejpam-5691	98	10	)	)	PUNCT
ejpam-5691	98	11	(	(	PUNCT
ejpam-5691	98	12	2025	2025	NUM
ejpam-5691	98	13	)	)	PUNCT
ejpam-5691	98	14	,	,	PUNCT
ejpam-5691	98	15	5691	5691	NUM
ejpam-5691	98	16	5	5	NUM
ejpam-5691	98	17	of	of	ADP
ejpam-5691	98	18	32	32	NUM
ejpam-5691	98	19	application	application	NOUN
ejpam-5691	98	20	in	in	ADP
ejpam-5691	98	21	multi	multi	ADJ
ejpam-5691	98	22	-	-	ADJ
ejpam-5691	98	23	attribute	attribute	NOUN
ejpam-5691	98	24	decision	decision	NOUN
ejpam-5691	98	25	-	-	PUNCT
ejpam-5691	98	26	making	making	NOUN
ejpam-5691	98	27	was	be	AUX
ejpam-5691	98	28	covered	cover	VERB
ejpam-5691	98	29	by	by	ADP
ejpam-5691	98	30	wu	wu	PROPN
ejpam-5691	98	31	and	and	CCONJ
ejpam-5691	98	32	wei	wei	PROPN
ejpam-5691	99	1	[	[	X
ejpam-5691	99	2	42	42	NUM
ejpam-5691	99	3	]	]	PUNCT
ejpam-5691	99	4	.	.	PUNCT
ejpam-5691	100	1	the	the	DET
ejpam-5691	100	2	author	author	NOUN
ejpam-5691	100	3	concentrates	concentrate	VERB
ejpam-5691	100	4	on	on	ADP
ejpam-5691	100	5	the	the	DET
ejpam-5691	100	6	similarity	similarity	NOUN
ejpam-5691	100	7	measures	measure	NOUN
ejpam-5691	100	8	of	of	ADP
ejpam-5691	100	9	fermatean	fermatean	ADJ
ejpam-5691	100	10	fuzzy	fuzzy	ADJ
ejpam-5691	100	11	sets	set	NOUN
ejpam-5691	100	12	,	,	PUNCT
ejpam-5691	100	13	providing	provide	VERB
ejpam-5691	100	14	definitions	definition	NOUN
ejpam-5691	100	15	for	for	ADP
ejpam-5691	100	16	both	both	DET
ejpam-5691	100	17	similarity	similarity	NOUN
ejpam-5691	100	18	measures	measure	NOUN
ejpam-5691	100	19	and	and	CCONJ
ejpam-5691	100	20	weighted	weight	VERB
ejpam-5691	100	21	similarity	similarity	NOUN
ejpam-5691	100	22	measures	measure	NOUN
ejpam-5691	100	23	in	in	ADP
ejpam-5691	100	24	the	the	DET
ejpam-5691	100	25	contexts	context	NOUN
ejpam-5691	100	26	of	of	ADP
ejpam-5691	100	27	discrete	discrete	ADJ
ejpam-5691	100	28	and	and	CCONJ
ejpam-5691	100	29	continuous	continuous	ADJ
ejpam-5691	100	30	universes	universe	NOUN
ejpam-5691	100	31	[	[	X
ejpam-5691	100	32	20	20	NUM
ejpam-5691	100	33	,	,	PUNCT
ejpam-5691	100	34	25–27	25–27	NUM
ejpam-5691	100	35	,	,	PUNCT
ejpam-5691	100	36	33	33	NUM
ejpam-5691	100	37	,	,	PUNCT
ejpam-5691	100	38	43	43	NUM
ejpam-5691	100	39	,	,	PUNCT
ejpam-5691	100	40	46	46	NUM
ejpam-5691	100	41	]	]	PUNCT
ejpam-5691	100	42	.	.	PUNCT
ejpam-5691	101	1	its	its	PRON
ejpam-5691	101	2	goal	goal	NOUN
ejpam-5691	101	3	was	be	AUX
ejpam-5691	101	4	to	to	PART
ejpam-5691	101	5	assist	assist	VERB
ejpam-5691	101	6	decision	decision	NOUN
ejpam-5691	101	7	-	-	PUNCT
ejpam-5691	101	8	makers	maker	NOUN
ejpam-5691	101	9	in	in	ADP
ejpam-5691	101	10	formulating	formulate	VERB
ejpam-5691	101	11	effective	effective	ADJ
ejpam-5691	101	12	policies	policy	NOUN
ejpam-5691	101	13	to	to	PART
ejpam-5691	101	14	address	address	VERB
ejpam-5691	101	15	the	the	DET
ejpam-5691	101	16	challenges	challenge	NOUN
ejpam-5691	101	17	of	of	ADP
ejpam-5691	101	18	electric	electric	ADJ
ejpam-5691	101	19	power	power	NOUN
ejpam-5691	101	20	shortages	shortage	NOUN
ejpam-5691	101	21	[	[	X
ejpam-5691	101	22	48	48	NUM
ejpam-5691	101	23	]	]	PUNCT
ejpam-5691	101	24	.	.	PUNCT
ejpam-5691	102	1	innovative	innovative	ADJ
ejpam-5691	102	2	concepts	concept	NOUN
ejpam-5691	102	3	for	for	ADP
ejpam-5691	102	4	interval	interval	NOUN
ejpam-5691	102	5	-	-	PUNCT
ejpam-5691	102	6	valued	value	VERB
ejpam-5691	102	7	fuzzy	fuzzy	ADJ
ejpam-5691	102	8	einstein	einstein	PROPN
ejpam-5691	102	9	hybrid	hybrid	PROPN
ejpam-5691	102	10	aos	aos	PROPN
ejpam-5691	102	11	were	be	AUX
ejpam-5691	102	12	introduced	introduce	VERB
ejpam-5691	102	13	by	by	ADP
ejpam-5691	102	14	zhao	zhao	PROPN
ejpam-5691	102	15	and	and	CCONJ
ejpam-5691	102	16	wei	wei	PROPN
ejpam-5691	103	1	[	[	X
ejpam-5691	103	2	51	51	NUM
ejpam-5691	103	3	]	]	PUNCT
ejpam-5691	103	4	,	,	PUNCT
ejpam-5691	103	5	who	who	PRON
ejpam-5691	103	6	also	also	ADV
ejpam-5691	103	7	described	describe	VERB
ejpam-5691	103	8	how	how	SCONJ
ejpam-5691	103	9	they	they	PRON
ejpam-5691	103	10	might	might	AUX
ejpam-5691	103	11	be	be	AUX
ejpam-5691	103	12	used	use	VERB
ejpam-5691	103	13	in	in	ADP
ejpam-5691	103	14	madm	madm	ADJ
ejpam-5691	103	15	scenarios	scenario	NOUN
ejpam-5691	103	16	.	.	PUNCT
ejpam-5691	104	1	recently	recently	ADV
ejpam-5691	104	2	,	,	PUNCT
ejpam-5691	104	3	the	the	DET
ejpam-5691	104	4	bipolar	bipolar	ADJ
ejpam-5691	104	5	fuzzy	fuzzy	ADJ
ejpam-5691	104	6	set	set	NOUN
ejpam-5691	104	7	[	[	X
ejpam-5691	104	8	9	9	NUM
ejpam-5691	104	9	,	,	PUNCT
ejpam-5691	104	10	28	28	NUM
ejpam-5691	104	11	,	,	PUNCT
ejpam-5691	104	12	39	39	NUM
ejpam-5691	104	13	,	,	PUNCT
ejpam-5691	104	14	49	49	NUM
ejpam-5691	104	15	,	,	PUNCT
ejpam-5691	104	16	50	50	NUM
ejpam-5691	104	17	]	]	PUNCT
ejpam-5691	104	18	has	have	AUX
ejpam-5691	104	19	drawn	draw	VERB
ejpam-5691	104	20	interest	interest	NOUN
ejpam-5691	104	21	as	as	ADP
ejpam-5691	104	22	a	a	DET
ejpam-5691	104	23	practical	practical	ADJ
ejpam-5691	104	24	approach	approach	NOUN
ejpam-5691	104	25	for	for	ADP
ejpam-5691	104	26	dealing	deal	VERB
ejpam-5691	104	27	with	with	ADP
ejpam-5691	104	28	uncertainty	uncertainty	NOUN
ejpam-5691	104	29	in	in	ADP
ejpam-5691	104	30	madm	madm	NOUN
ejpam-5691	104	31	situations	situation	NOUN
ejpam-5691	104	32	.	.	PUNCT
ejpam-5691	105	1	a	a	DET
ejpam-5691	105	2	positive	positive	ADJ
ejpam-5691	105	3	membership	membership	NOUN
ejpam-5691	105	4	degree	degree	NOUN
ejpam-5691	105	5	and	and	CCONJ
ejpam-5691	105	6	a	a	DET
ejpam-5691	105	7	negative	negative	ADJ
ejpam-5691	105	8	membership	membership	NOUN
ejpam-5691	105	9	degree	degree	NOUN
ejpam-5691	105	10	are	be	AUX
ejpam-5691	105	11	the	the	DET
ejpam-5691	105	12	two	two	NUM
ejpam-5691	105	13	values	value	NOUN
ejpam-5691	105	14	it	it	PRON
ejpam-5691	105	15	uses	use	VERB
ejpam-5691	105	16	to	to	PART
ejpam-5691	105	17	represent	represent	VERB
ejpam-5691	105	18	an	an	DET
ejpam-5691	105	19	object	object	NOUN
ejpam-5691	105	20	.	.	PUNCT
ejpam-5691	106	1	the	the	DET
ejpam-5691	106	2	bipolar	bipolar	ADJ
ejpam-5691	106	3	fuzzy	fuzzy	ADJ
ejpam-5691	106	4	set	set	NOUN
ejpam-5691	106	5	permits	permit	VERB
ejpam-5691	106	6	membership	membership	NOUN
ejpam-5691	106	7	degrees	degree	NOUN
ejpam-5691	106	8	to	to	PART
ejpam-5691	106	9	fluctuate	fluctuate	NOUN
ejpam-5691	106	10	within	within	ADP
ejpam-5691	106	11	the	the	DET
ejpam-5691	106	12	range	range	NOUN
ejpam-5691	106	13	[	[	X
ejpam-5691	106	14	−1	−1	NOUN
ejpam-5691	106	15	,	,	PUNCT
ejpam-5691	106	16	1	1	NUM
ejpam-5691	106	17	]	]	PUNCT
ejpam-5691	106	18	,	,	PUNCT
ejpam-5691	106	19	in	in	ADP
ejpam-5691	106	20	contrast	contrast	NOUN
ejpam-5691	106	21	to	to	ADP
ejpam-5691	106	22	intuitionistic	intuitionistic	ADJ
ejpam-5691	106	23	fuzzy	fuzzy	ADJ
ejpam-5691	106	24	sets	set	NOUN
ejpam-5691	106	25	(	(	PUNCT
ejpam-5691	106	26	ifs	ifs	PROPN
ejpam-5691	106	27	)	)	PUNCT
ejpam-5691	106	28	,	,	PUNCT
ejpam-5691	106	29	which	which	PRON
ejpam-5691	106	30	have	have	VERB
ejpam-5691	106	31	membership	membership	NOUN
ejpam-5691	106	32	degrees	degree	NOUN
ejpam-5691	106	33	ranging	range	VERB
ejpam-5691	106	34	from	from	ADP
ejpam-5691	106	35	0	0	NUM
ejpam-5691	106	36	to	to	PART
ejpam-5691	106	37	1	1	NUM
ejpam-5691	106	38	.	.	PUNCT
ejpam-5691	107	1	problem	problem	NOUN
ejpam-5691	107	2	statement	statement	NOUN
ejpam-5691	107	3	there	there	PRON
ejpam-5691	107	4	are	be	VERB
ejpam-5691	107	5	financial	financial	ADJ
ejpam-5691	107	6	of	of	ADP
ejpam-5691	107	7	e	e	NOUN
ejpam-5691	107	8	-	-	NOUN
ejpam-5691	107	9	waste	waste	ADJ
ejpam-5691	107	10	disposal	disposal	NOUN
ejpam-5691	107	11	techniques	technique	NOUN
ejpam-5691	107	12	of	of	ADP
ejpam-5691	107	13	the	the	DET
ejpam-5691	107	14	environmental	environmental	ADJ
ejpam-5691	107	15	associated	associate	VERB
ejpam-5691	107	16	.	.	PUNCT
ejpam-5691	108	1	this	this	DET
ejpam-5691	108	2	necessity	necessity	NOUN
ejpam-5691	108	3	of	of	ADP
ejpam-5691	108	4	creative	creative	ADJ
ejpam-5691	108	5	approaches	approach	NOUN
ejpam-5691	108	6	to	to	ADP
ejpam-5691	108	7	e	e	NOUN
ejpam-5691	108	8	-	-	NOUN
ejpam-5691	108	9	waste	waste	ADJ
ejpam-5691	108	10	management	management	NOUN
ejpam-5691	108	11	of	of	ADP
ejpam-5691	108	12	recycling	recycling	NOUN
ejpam-5691	108	13	.	.	PUNCT
ejpam-5691	109	1	the	the	DET
ejpam-5691	109	2	subject	subject	NOUN
ejpam-5691	109	3	of	of	ADP
ejpam-5691	109	4	electronic	electronic	ADJ
ejpam-5691	109	5	recycling	recycling	NOUN
ejpam-5691	109	6	is	be	AUX
ejpam-5691	109	7	still	still	ADV
ejpam-5691	109	8	in	in	ADP
ejpam-5691	109	9	its	its	PRON
ejpam-5691	109	10	infancy	infancy	NOUN
ejpam-5691	109	11	,	,	PUNCT
ejpam-5691	109	12	lacks	lack	VERB
ejpam-5691	109	13	infrastructure	infrastructure	NOUN
ejpam-5691	109	14	,	,	PUNCT
ejpam-5691	109	15	e	e	NOUN
ejpam-5691	109	16	-	-	ADJ
ejpam-5691	109	17	waste	waste	ADJ
ejpam-5691	109	18	recycling	recycling	NOUN
ejpam-5691	109	19	partners	partner	NOUN
ejpam-5691	109	20	can	can	AUX
ejpam-5691	109	21	be	be	AUX
ejpam-5691	109	22	challenging	challenging	ADJ
ejpam-5691	109	23	,	,	PUNCT
ejpam-5691	109	24	this	this	DET
ejpam-5691	109	25	study	study	NOUN
ejpam-5691	109	26	presents	present	VERB
ejpam-5691	109	27	certain	certain	ADJ
ejpam-5691	109	28	hamacher	hamacher	NOUN
ejpam-5691	109	29	aggregation	aggregation	NOUN
ejpam-5691	109	30	operators	operator	NOUN
ejpam-5691	109	31	in	in	ADP
ejpam-5691	109	32	a	a	DET
ejpam-5691	109	33	bipolar	bipolar	ADJ
ejpam-5691	109	34	fuzzy	fuzzy	ADJ
ejpam-5691	109	35	framework	framework	NOUN
ejpam-5691	109	36	to	to	PART
ejpam-5691	109	37	help	help	VERB
ejpam-5691	109	38	with	with	ADP
ejpam-5691	109	39	decision	decision	NOUN
ejpam-5691	109	40	-	-	PUNCT
ejpam-5691	109	41	making	making	NOUN
ejpam-5691	109	42	.	.	PUNCT
ejpam-5691	110	1	establishing	establish	VERB
ejpam-5691	110	2	a	a	DET
ejpam-5691	110	3	madm	madm	NOUN
ejpam-5691	110	4	framework	framework	NOUN
ejpam-5691	110	5	to	to	PART
ejpam-5691	110	6	determine	determine	VERB
ejpam-5691	110	7	the	the	DET
ejpam-5691	110	8	best	good	ADJ
ejpam-5691	110	9	recycling	recycling	NOUN
ejpam-5691	110	10	partner	partner	NOUN
ejpam-5691	110	11	is	be	AUX
ejpam-5691	110	12	the	the	DET
ejpam-5691	110	13	main	main	ADJ
ejpam-5691	110	14	goal	goal	NOUN
ejpam-5691	110	15	of	of	ADP
ejpam-5691	110	16	this	this	DET
ejpam-5691	110	17	study	study	NOUN
ejpam-5691	110	18	.	.	PUNCT
ejpam-5691	111	1	porcelain	porcelain	NOUN
ejpam-5691	111	2	is	be	AUX
ejpam-5691	111	3	currently	currently	ADV
ejpam-5691	111	4	one	one	NUM
ejpam-5691	111	5	of	of	ADP
ejpam-5691	111	6	the	the	DET
ejpam-5691	111	7	biggest	big	ADJ
ejpam-5691	111	8	manufacturers	manufacturer	NOUN
ejpam-5691	111	9	of	of	ADP
ejpam-5691	111	10	e	e	NOUN
ejpam-5691	111	11	-	-	NOUN
ejpam-5691	111	12	waste	waste	NOUN
ejpam-5691	111	13	in	in	ADP
ejpam-5691	111	14	addition	addition	NOUN
ejpam-5691	111	15	to	to	ADP
ejpam-5691	111	16	being	be	AUX
ejpam-5691	111	17	a	a	DET
ejpam-5691	111	18	significant	significant	ADJ
ejpam-5691	111	19	consumer	consumer	NOUN
ejpam-5691	111	20	of	of	ADP
ejpam-5691	111	21	electronic	electronic	ADJ
ejpam-5691	111	22	goods	good	NOUN
ejpam-5691	111	23	.	.	PUNCT
ejpam-5691	112	1	these	these	DET
ejpam-5691	112	2	a	a	DET
ejpam-5691	112	3	case	case	NOUN
ejpam-5691	112	4	analysis	analysis	NOUN
ejpam-5691	112	5	centered	center	VERB
ejpam-5691	112	6	on	on	ADP
ejpam-5691	112	7	choosing	choose	VERB
ejpam-5691	112	8	a	a	DET
ejpam-5691	112	9	recycling	recycling	NOUN
ejpam-5691	112	10	partner	partner	NOUN
ejpam-5691	112	11	in	in	ADP
ejpam-5691	112	12	porcelain	porcelain	NOUN
ejpam-5691	112	13	is	be	AUX
ejpam-5691	112	14	included	include	VERB
ejpam-5691	112	15	.	.	PUNCT
ejpam-5691	113	1	motivation	motivation	NOUN
ejpam-5691	113	2	in	in	ADP
ejpam-5691	113	3	the	the	DET
ejpam-5691	113	4	realm	realm	NOUN
ejpam-5691	113	5	of	of	ADP
ejpam-5691	113	6	multi	multi	ADJ
ejpam-5691	113	7	-	-	ADJ
ejpam-5691	113	8	criteria	criterion	NOUN
ejpam-5691	113	9	decision	decision	NOUN
ejpam-5691	113	10	-	-	PUNCT
ejpam-5691	113	11	making	making	NOUN
ejpam-5691	113	12	,	,	PUNCT
ejpam-5691	113	13	handling	handle	VERB
ejpam-5691	113	14	uncertainty	uncertainty	NOUN
ejpam-5691	113	15	and	and	CCONJ
ejpam-5691	113	16	imprecision	imprecision	NOUN
ejpam-5691	113	17	is	be	AUX
ejpam-5691	113	18	a	a	DET
ejpam-5691	113	19	crucial	crucial	ADJ
ejpam-5691	113	20	challenge	challenge	NOUN
ejpam-5691	113	21	.	.	PUNCT
ejpam-5691	114	1	traditional	traditional	ADJ
ejpam-5691	114	2	fuzzy	fuzzy	ADJ
ejpam-5691	114	3	set	set	NOUN
ejpam-5691	114	4	theories	theory	NOUN
ejpam-5691	114	5	and	and	CCONJ
ejpam-5691	114	6	aggregation	aggregation	NOUN
ejpam-5691	114	7	operators	operator	NOUN
ejpam-5691	114	8	primarily	primarily	ADV
ejpam-5691	114	9	address	address	VERB
ejpam-5691	114	10	situations	situation	NOUN
ejpam-5691	114	11	with	with	ADP
ejpam-5691	114	12	binary	binary	ADJ
ejpam-5691	114	13	membership	membership	NOUN
ejpam-5691	114	14	,	,	PUNCT
ejpam-5691	114	15	often	often	ADV
ejpam-5691	114	16	overlooking	overlook	VERB
ejpam-5691	114	17	the	the	DET
ejpam-5691	114	18	more	more	ADV
ejpam-5691	114	19	complex	complex	ADJ
ejpam-5691	114	20	scenarios	scenario	NOUN
ejpam-5691	114	21	where	where	SCONJ
ejpam-5691	114	22	both	both	DET
ejpam-5691	114	23	positive	positive	ADJ
ejpam-5691	114	24	and	and	CCONJ
ejpam-5691	114	25	negative	negative	ADJ
ejpam-5691	114	26	membership	membership	NOUN
ejpam-5691	114	27	,	,	PUNCT
ejpam-5691	114	28	as	as	ADV
ejpam-5691	114	29	well	well	ADV
ejpam-5691	114	30	as	as	ADP
ejpam-5691	114	31	hesitation	hesitation	NOUN
ejpam-5691	114	32	degrees	degree	NOUN
ejpam-5691	114	33	,	,	PUNCT
ejpam-5691	114	34	are	be	AUX
ejpam-5691	114	35	equally	equally	ADV
ejpam-5691	114	36	important	important	ADJ
ejpam-5691	114	37	.	.	PUNCT
ejpam-5691	115	1	bipolar	bipolar	ADJ
ejpam-5691	115	2	fermatean	fermatean	ADJ
ejpam-5691	115	3	fuzzy	fuzzy	ADJ
ejpam-5691	115	4	sets	set	NOUN
ejpam-5691	115	5	,	,	PUNCT
ejpam-5691	115	6	which	which	PRON
ejpam-5691	115	7	extend	extend	VERB
ejpam-5691	115	8	classical	classical	ADJ
ejpam-5691	115	9	fuzzy	fuzzy	ADJ
ejpam-5691	115	10	sets	set	NOUN
ejpam-5691	115	11	to	to	PART
ejpam-5691	115	12	incorporate	incorporate	VERB
ejpam-5691	115	13	dual	dual	ADJ
ejpam-5691	115	14	membership	membership	NOUN
ejpam-5691	115	15	and	and	CCONJ
ejpam-5691	115	16	non	non	ADJ
ejpam-5691	115	17	-	-	NOUN
ejpam-5691	115	18	membership	membership	NOUN
ejpam-5691	115	19	,	,	PUNCT
ejpam-5691	115	20	offer	offer	VERB
ejpam-5691	115	21	a	a	DET
ejpam-5691	115	22	promising	promising	ADJ
ejpam-5691	115	23	solution	solution	NOUN
ejpam-5691	115	24	to	to	ADP
ejpam-5691	115	25	this	this	DET
ejpam-5691	115	26	problem	problem	NOUN
ejpam-5691	115	27	.	.	PUNCT
ejpam-5691	116	1	however	however	ADV
ejpam-5691	116	2	,	,	PUNCT
ejpam-5691	116	3	existing	exist	VERB
ejpam-5691	116	4	aggregation	aggregation	NOUN
ejpam-5691	116	5	methods	method	NOUN
ejpam-5691	116	6	are	be	AUX
ejpam-5691	116	7	not	not	PART
ejpam-5691	116	8	sufficiently	sufficiently	ADV
ejpam-5691	116	9	equipped	equip	VERB
ejpam-5691	116	10	to	to	PART
ejpam-5691	116	11	handle	handle	VERB
ejpam-5691	116	12	the	the	DET
ejpam-5691	116	13	complexity	complexity	NOUN
ejpam-5691	116	14	and	and	CCONJ
ejpam-5691	116	15	uncertainty	uncertainty	NOUN
ejpam-5691	116	16	inherent	inherent	ADJ
ejpam-5691	116	17	in	in	ADP
ejpam-5691	116	18	bipolar	bipolar	ADJ
ejpam-5691	116	19	fermatean	fermatean	ADJ
ejpam-5691	116	20	fuzzy	fuzzy	ADJ
ejpam-5691	116	21	sets	set	NOUN
ejpam-5691	116	22	based	base	VERB
ejpam-5691	116	23	decision	decision	NOUN
ejpam-5691	116	24	-	-	PUNCT
ejpam-5691	116	25	making	make	VERB
ejpam-5691	116	26	tasks	task	NOUN
ejpam-5691	116	27	.	.	PUNCT
ejpam-5691	117	1	the	the	DET
ejpam-5691	117	2	primary	primary	ADJ
ejpam-5691	117	3	issues	issue	NOUN
ejpam-5691	117	4	identified	identify	VERB
ejpam-5691	117	5	in	in	ADP
ejpam-5691	117	6	the	the	DET
ejpam-5691	117	7	current	current	ADJ
ejpam-5691	117	8	decision	decision	NOUN
ejpam-5691	117	9	-	-	PUNCT
ejpam-5691	117	10	making	make	VERB
ejpam-5691	117	11	frameworks	framework	NOUN
ejpam-5691	117	12	are	be	AUX
ejpam-5691	117	13	as	as	SCONJ
ejpam-5691	117	14	follows	follow	VERB
ejpam-5691	117	15	:	:	PUNCT
ejpam-5691	117	16	traditional	traditional	ADJ
ejpam-5691	117	17	aggregation	aggregation	NOUN
ejpam-5691	117	18	operators	operator	NOUN
ejpam-5691	117	19	are	be	AUX
ejpam-5691	117	20	designed	design	VERB
ejpam-5691	117	21	for	for	ADP
ejpam-5691	117	22	conventional	conventional	ADJ
ejpam-5691	117	23	fuzzy	fuzzy	ADJ
ejpam-5691	117	24	sets	set	NOUN
ejpam-5691	117	25	and	and	CCONJ
ejpam-5691	117	26	fail	fail	VERB
ejpam-5691	117	27	to	to	PART
ejpam-5691	117	28	fully	fully	ADV
ejpam-5691	117	29	integrate	integrate	VERB
ejpam-5691	117	30	the	the	DET
ejpam-5691	117	31	duality	duality	NOUN
ejpam-5691	117	32	present	present	ADJ
ejpam-5691	117	33	in	in	ADP
ejpam-5691	117	34	bipolar	bipolar	ADJ
ejpam-5691	117	35	fermatean	fermatean	ADJ
ejpam-5691	117	36	fuzzy	fuzzy	ADJ
ejpam-5691	117	37	sets	set	NOUN
ejpam-5691	117	38	.	.	PUNCT
ejpam-5691	118	1	while	while	SCONJ
ejpam-5691	118	2	they	they	PRON
ejpam-5691	118	3	capture	capture	VERB
ejpam-5691	118	4	membership	membership	NOUN
ejpam-5691	118	5	values	value	NOUN
ejpam-5691	118	6	well	well	ADV
ejpam-5691	118	7	,	,	PUNCT
ejpam-5691	118	8	they	they	PRON
ejpam-5691	118	9	struggle	struggle	VERB
ejpam-5691	118	10	to	to	PART
ejpam-5691	118	11	incorporate	incorporate	VERB
ejpam-5691	118	12	non	non	ADJ
ejpam-5691	118	13	-	-	ADJ
ejpam-5691	118	14	membership	membership	ADJ
ejpam-5691	118	15	values	value	NOUN
ejpam-5691	118	16	and	and	CCONJ
ejpam-5691	118	17	hesitation	hesitation	NOUN
ejpam-5691	118	18	degrees	degree	NOUN
ejpam-5691	118	19	in	in	ADP
ejpam-5691	118	20	a	a	DET
ejpam-5691	118	21	coherent	coherent	ADJ
ejpam-5691	118	22	manner	manner	NOUN
ejpam-5691	118	23	.	.	PUNCT
ejpam-5691	119	1	this	this	DET
ejpam-5691	119	2	limitation	limitation	NOUN
ejpam-5691	119	3	hinders	hinder	VERB
ejpam-5691	119	4	the	the	DET
ejpam-5691	119	5	ability	ability	NOUN
ejpam-5691	119	6	to	to	PART
ejpam-5691	119	7	accurately	accurately	ADV
ejpam-5691	119	8	evaluate	evaluate	VERB
ejpam-5691	119	9	alternatives	alternative	NOUN
ejpam-5691	119	10	that	that	PRON
ejpam-5691	119	11	involve	involve	VERB
ejpam-5691	119	12	both	both	DET
ejpam-5691	119	13	positive	positive	ADJ
ejpam-5691	119	14	and	and	CCONJ
ejpam-5691	119	15	negative	negative	ADJ
ejpam-5691	119	16	criteria	criterion	NOUN
ejpam-5691	119	17	.	.	PUNCT
ejpam-5691	120	1	classical	classical	ADJ
ejpam-5691	120	2	aggregation	aggregation	NOUN
ejpam-5691	120	3	techniques	technique	NOUN
ejpam-5691	120	4	,	,	PUNCT
ejpam-5691	120	5	such	such	ADJ
ejpam-5691	120	6	as	as	ADP
ejpam-5691	120	7	the	the	DET
ejpam-5691	120	8	weighted	weighted	ADJ
ejpam-5691	120	9	average	average	NOUN
ejpam-5691	120	10	or	or	CCONJ
ejpam-5691	120	11	ordered	order	VERB
ejpam-5691	120	12	weighted	weight	VERB
ejpam-5691	120	13	average	average	ADJ
ejpam-5691	120	14	,	,	PUNCT
ejpam-5691	120	15	are	be	AUX
ejpam-5691	120	16	not	not	PART
ejpam-5691	120	17	well	well	ADV
ejpam-5691	120	18	-	-	PUNCT
ejpam-5691	120	19	suited	suit	VERB
ejpam-5691	120	20	for	for	ADP
ejpam-5691	120	21	environments	environment	NOUN
ejpam-5691	120	22	where	where	SCONJ
ejpam-5691	120	23	both	both	DET
ejpam-5691	120	24	positive	positive	ADJ
ejpam-5691	120	25	and	and	CCONJ
ejpam-5691	120	26	negative	negative	ADJ
ejpam-5691	120	27	information	information	NOUN
ejpam-5691	120	28	are	be	AUX
ejpam-5691	120	29	crucial	crucial	ADJ
ejpam-5691	120	30	.	.	PUNCT
ejpam-5691	121	1	in	in	ADP
ejpam-5691	121	2	particular	particular	ADJ
ejpam-5691	121	3	,	,	PUNCT
ejpam-5691	121	4	these	these	DET
ejpam-5691	121	5	methods	method	NOUN
ejpam-5691	121	6	can	can	AUX
ejpam-5691	121	7	not	not	PART
ejpam-5691	121	8	address	address	VERB
ejpam-5691	121	9	the	the	DET
ejpam-5691	121	10	intricacies	intricacy	NOUN
ejpam-5691	121	11	of	of	ADP
ejpam-5691	121	12	interactions	interaction	NOUN
ejpam-5691	121	13	between	between	ADP
ejpam-5691	121	14	membership	membership	NOUN
ejpam-5691	121	15	and	and	CCONJ
ejpam-5691	121	16	non	non	ADJ
ejpam-5691	121	17	-	-	ADJ
ejpam-5691	121	18	membership	membership	ADJ
ejpam-5691	121	19	components	component	NOUN
ejpam-5691	121	20	in	in	ADP
ejpam-5691	121	21	bipolar	bipolar	ADJ
ejpam-5691	121	22	fermatean	fermatean	ADJ
ejpam-5691	121	23	fuzzy	fuzzy	ADJ
ejpam-5691	121	24	sets	set	NOUN
ejpam-5691	121	25	,	,	PUNCT
ejpam-5691	121	26	leading	lead	VERB
ejpam-5691	121	27	to	to	ADP
ejpam-5691	121	28	potential	potential	ADJ
ejpam-5691	121	29	inaccuracies	inaccuracy	NOUN
ejpam-5691	121	30	in	in	ADP
ejpam-5691	121	31	decision	decision	NOUN
ejpam-5691	121	32	-	-	PUNCT
ejpam-5691	121	33	making	making	NOUN
ejpam-5691	121	34	.	.	PUNCT
ejpam-5691	122	1	a	a	DET
ejpam-5691	122	2	significant	significant	ADJ
ejpam-5691	122	3	gap	gap	NOUN
ejpam-5691	122	4	in	in	ADP
ejpam-5691	122	5	the	the	DET
ejpam-5691	122	6	literature	literature	NOUN
ejpam-5691	122	7	is	be	AUX
ejpam-5691	122	8	the	the	DET
ejpam-5691	122	9	lack	lack	NOUN
ejpam-5691	122	10	of	of	ADP
ejpam-5691	122	11	operational	operational	ADJ
ejpam-5691	122	12	laws	law	NOUN
ejpam-5691	122	13	that	that	PRON
ejpam-5691	122	14	govern	govern	VERB
ejpam-5691	122	15	the	the	DET
ejpam-5691	122	16	ina	ina	PROPN
ejpam-5691	122	17	.	.	PUNCT
ejpam-5691	123	1	fahmi	fahmi	PROPN
ejpam-5691	123	2	et	et	PROPN
ejpam-5691	123	3	al	al	PROPN
ejpam-5691	123	4	.	.	PUNCT
ejpam-5691	123	5	/	/	SYM
ejpam-5691	123	6	eur	eur	PROPN
ejpam-5691	123	7	.	.	PUNCT
ejpam-5691	124	1	j.	j.	PROPN
ejpam-5691	124	2	pure	pure	PROPN
ejpam-5691	124	3	appl	appl	PROPN
ejpam-5691	124	4	.	.	PROPN
ejpam-5691	124	5	math	math	PROPN
ejpam-5691	124	6	,	,	PUNCT
ejpam-5691	124	7	18	18	NUM
ejpam-5691	124	8	(	(	PUNCT
ejpam-5691	124	9	1	1	NUM
ejpam-5691	124	10	)	)	PUNCT
ejpam-5691	124	11	(	(	PUNCT
ejpam-5691	124	12	2025	2025	NUM
ejpam-5691	124	13	)	)	PUNCT
ejpam-5691	124	14	,	,	PUNCT
ejpam-5691	124	15	5691	5691	NUM
ejpam-5691	124	16	6	6	NUM
ejpam-5691	124	17	of	of	ADP
ejpam-5691	124	18	32	32	NUM
ejpam-5691	124	19	teractions	teraction	NOUN
ejpam-5691	124	20	of	of	ADP
ejpam-5691	124	21	membership	membership	NOUN
ejpam-5691	124	22	,	,	PUNCT
ejpam-5691	124	23	non	non	ADJ
ejpam-5691	124	24	-	-	NOUN
ejpam-5691	124	25	membership	membership	NOUN
ejpam-5691	124	26	,	,	PUNCT
ejpam-5691	124	27	and	and	CCONJ
ejpam-5691	124	28	hesitation	hesitation	NOUN
ejpam-5691	124	29	degrees	degree	NOUN
ejpam-5691	124	30	in	in	ADP
ejpam-5691	124	31	bipolar	bipolar	ADJ
ejpam-5691	124	32	fermatean	fermatean	ADJ
ejpam-5691	124	33	fuzzy	fuzzy	ADJ
ejpam-5691	124	34	sets	set	NOUN
ejpam-5691	124	35	.	.	PUNCT
ejpam-5691	125	1	the	the	DET
ejpam-5691	125	2	development	development	NOUN
ejpam-5691	125	3	of	of	ADP
ejpam-5691	125	4	these	these	DET
ejpam-5691	125	5	operational	operational	ADJ
ejpam-5691	125	6	laws	law	NOUN
ejpam-5691	125	7	is	be	AUX
ejpam-5691	125	8	essential	essential	ADJ
ejpam-5691	125	9	for	for	ADP
ejpam-5691	125	10	building	build	VERB
ejpam-5691	125	11	aggregation	aggregation	NOUN
ejpam-5691	125	12	functions	function	NOUN
ejpam-5691	125	13	that	that	PRON
ejpam-5691	125	14	can	can	AUX
ejpam-5691	125	15	process	process	VERB
ejpam-5691	125	16	such	such	ADJ
ejpam-5691	125	17	complex	complex	ADJ
ejpam-5691	125	18	information	information	NOUN
ejpam-5691	125	19	consistently	consistently	ADV
ejpam-5691	125	20	and	and	CCONJ
ejpam-5691	125	21	meaningfully	meaningfully	ADV
ejpam-5691	125	22	.	.	PUNCT
ejpam-5691	126	1	limitations	limitation	NOUN
ejpam-5691	126	2	in	in	ADP
ejpam-5691	126	3	existing	exist	VERB
ejpam-5691	126	4	decision	decision	NOUN
ejpam-5691	126	5	-	-	PUNCT
ejpam-5691	126	6	making	make	VERB
ejpam-5691	126	7	systems	system	NOUN
ejpam-5691	126	8	:	:	PUNCT
ejpam-5691	126	9	many	many	ADJ
ejpam-5691	126	10	existing	exist	VERB
ejpam-5691	126	11	decision	decision	NOUN
ejpam-5691	126	12	-	-	PUNCT
ejpam-5691	126	13	making	make	VERB
ejpam-5691	126	14	systems	system	NOUN
ejpam-5691	126	15	based	base	VERB
ejpam-5691	126	16	on	on	ADP
ejpam-5691	126	17	aggregation	aggregation	NOUN
ejpam-5691	126	18	operators	operator	NOUN
ejpam-5691	126	19	are	be	AUX
ejpam-5691	126	20	primarily	primarily	ADV
ejpam-5691	126	21	designed	design	VERB
ejpam-5691	126	22	for	for	ADP
ejpam-5691	126	23	conventional	conventional	ADJ
ejpam-5691	126	24	fuzzy	fuzzy	ADJ
ejpam-5691	126	25	sets	set	NOUN
ejpam-5691	126	26	,	,	PUNCT
ejpam-5691	126	27	and	and	CCONJ
ejpam-5691	126	28	they	they	PRON
ejpam-5691	126	29	encounter	encounter	VERB
ejpam-5691	126	30	difficulties	difficulty	NOUN
ejpam-5691	126	31	when	when	SCONJ
ejpam-5691	126	32	applied	apply	VERB
ejpam-5691	126	33	to	to	ADP
ejpam-5691	126	34	bipolar	bipolar	ADJ
ejpam-5691	126	35	fermatean	fermatean	ADJ
ejpam-5691	126	36	fuzzy	fuzzy	ADJ
ejpam-5691	126	37	sets	set	NOUN
ejpam-5691	126	38	.	.	PUNCT
ejpam-5691	127	1	these	these	DET
ejpam-5691	127	2	systems	system	NOUN
ejpam-5691	127	3	can	can	AUX
ejpam-5691	127	4	not	not	PART
ejpam-5691	127	5	handle	handle	VERB
ejpam-5691	127	6	the	the	DET
ejpam-5691	127	7	uncertainties	uncertainty	NOUN
ejpam-5691	127	8	and	and	CCONJ
ejpam-5691	127	9	ambiguities	ambiguity	NOUN
ejpam-5691	127	10	inherent	inherent	ADJ
ejpam-5691	127	11	in	in	ADP
ejpam-5691	127	12	bipolar	bipolar	ADJ
ejpam-5691	127	13	fermatean	fermatean	ADJ
ejpam-5691	127	14	fuzzy	fuzzy	ADJ
ejpam-5691	127	15	sets	set	NOUN
ejpam-5691	127	16	based	base	VERB
ejpam-5691	127	17	data	datum	NOUN
ejpam-5691	127	18	,	,	PUNCT
ejpam-5691	127	19	limiting	limit	VERB
ejpam-5691	127	20	their	their	PRON
ejpam-5691	127	21	effectiveness	effectiveness	NOUN
ejpam-5691	127	22	in	in	ADP
ejpam-5691	127	23	fields	field	NOUN
ejpam-5691	127	24	requiring	require	VERB
ejpam-5691	127	25	nuanced	nuanced	ADJ
ejpam-5691	127	26	decision	decision	NOUN
ejpam-5691	127	27	-	-	PUNCT
ejpam-5691	127	28	making	making	NOUN
ejpam-5691	127	29	under	under	ADP
ejpam-5691	127	30	uncertainty	uncertainty	NOUN
ejpam-5691	127	31	.	.	PUNCT
ejpam-5691	128	1	challenges	challenge	NOUN
ejpam-5691	128	2	in	in	ADP
ejpam-5691	128	3	real	real	ADJ
ejpam-5691	128	4	-	-	PUNCT
ejpam-5691	128	5	world	world	NOUN
ejpam-5691	128	6	applications	application	NOUN
ejpam-5691	128	7	(	(	PUNCT
ejpam-5691	128	8	e.g.	e.g.	ADV
ejpam-5691	128	9	,	,	PUNCT
ejpam-5691	128	10	e	e	ADJ
ejpam-5691	128	11	-	-	ADJ
ejpam-5691	128	12	waste	waste	NOUN
ejpam-5691	128	13	management	management	NOUN
ejpam-5691	128	14	):	):	PUNCT
ejpam-5691	128	15	in	in	ADP
ejpam-5691	128	16	practical	practical	ADJ
ejpam-5691	128	17	applications	application	NOUN
ejpam-5691	128	18	such	such	ADJ
ejpam-5691	128	19	as	as	ADP
ejpam-5691	128	20	e	e	NOUN
ejpam-5691	128	21	-	-	NOUN
ejpam-5691	128	22	waste	waste	NOUN
ejpam-5691	128	23	management	management	NOUN
ejpam-5691	128	24	,	,	PUNCT
ejpam-5691	128	25	where	where	SCONJ
ejpam-5691	128	26	decisions	decision	NOUN
ejpam-5691	128	27	involve	involve	VERB
ejpam-5691	128	28	selecting	select	VERB
ejpam-5691	128	29	appropriate	appropriate	ADJ
ejpam-5691	128	30	partners	partner	NOUN
ejpam-5691	128	31	or	or	CCONJ
ejpam-5691	128	32	alternatives	alternative	NOUN
ejpam-5691	128	33	based	base	VERB
ejpam-5691	128	34	on	on	ADP
ejpam-5691	128	35	multiple	multiple	ADJ
ejpam-5691	128	36	criteria	criterion	NOUN
ejpam-5691	128	37	(	(	PUNCT
ejpam-5691	128	38	e.g.	e.g.	ADV
ejpam-5691	128	39	,	,	PUNCT
ejpam-5691	128	40	cost	cost	NOUN
ejpam-5691	128	41	,	,	PUNCT
ejpam-5691	128	42	efficiency	efficiency	NOUN
ejpam-5691	128	43	,	,	PUNCT
ejpam-5691	128	44	environmental	environmental	ADJ
ejpam-5691	128	45	impact	impact	NOUN
ejpam-5691	128	46	)	)	PUNCT
ejpam-5691	128	47	,	,	PUNCT
ejpam-5691	128	48	existing	exist	VERB
ejpam-5691	128	49	methods	method	NOUN
ejpam-5691	128	50	fail	fail	VERB
ejpam-5691	128	51	to	to	PART
ejpam-5691	128	52	account	account	VERB
ejpam-5691	128	53	for	for	ADP
ejpam-5691	128	54	the	the	DET
ejpam-5691	128	55	complex	complex	ADJ
ejpam-5691	128	56	uncertainty	uncertainty	NOUN
ejpam-5691	128	57	of	of	ADP
ejpam-5691	128	58	the	the	DET
ejpam-5691	128	59	decision	decision	NOUN
ejpam-5691	128	60	-	-	PUNCT
ejpam-5691	128	61	making	make	VERB
ejpam-5691	128	62	environment	environment	NOUN
ejpam-5691	128	63	.	.	PUNCT
ejpam-5691	129	1	the	the	DET
ejpam-5691	129	2	inability	inability	NOUN
ejpam-5691	129	3	to	to	PART
ejpam-5691	129	4	fully	fully	ADV
ejpam-5691	129	5	model	model	VERB
ejpam-5691	129	6	positive	positive	ADJ
ejpam-5691	129	7	and	and	CCONJ
ejpam-5691	129	8	negative	negative	ADJ
ejpam-5691	129	9	contributions	contribution	NOUN
ejpam-5691	129	10	,	,	PUNCT
ejpam-5691	129	11	as	as	ADV
ejpam-5691	129	12	well	well	ADV
ejpam-5691	129	13	as	as	ADP
ejpam-5691	129	14	the	the	DET
ejpam-5691	129	15	hesitation	hesitation	NOUN
ejpam-5691	129	16	or	or	CCONJ
ejpam-5691	129	17	indecision	indecision	NOUN
ejpam-5691	129	18	in	in	ADP
ejpam-5691	129	19	choosing	choose	VERB
ejpam-5691	129	20	the	the	DET
ejpam-5691	129	21	best	good	ADJ
ejpam-5691	129	22	alternative	alternative	NOUN
ejpam-5691	129	23	,	,	PUNCT
ejpam-5691	129	24	leads	lead	VERB
ejpam-5691	129	25	to	to	ADP
ejpam-5691	129	26	suboptimal	suboptimal	ADJ
ejpam-5691	129	27	results	result	NOUN
ejpam-5691	129	28	.	.	PUNCT
ejpam-5691	130	1	novelty	novelty	NOUN
ejpam-5691	130	2	and	and	CCONJ
ejpam-5691	130	3	contribution	contribution	NOUN
ejpam-5691	130	4	the	the	DET
ejpam-5691	130	5	proposed	propose	VERB
ejpam-5691	130	6	work	work	NOUN
ejpam-5691	130	7	offers	offer	VERB
ejpam-5691	130	8	several	several	ADJ
ejpam-5691	130	9	unique	unique	ADJ
ejpam-5691	130	10	contributions	contribution	NOUN
ejpam-5691	130	11	and	and	CCONJ
ejpam-5691	130	12	essential	essential	ADJ
ejpam-5691	130	13	advancements	advancement	NOUN
ejpam-5691	130	14	:	:	PUNCT
ejpam-5691	130	15	a	a	DET
ejpam-5691	130	16	novel	novel	ADJ
ejpam-5691	130	17	scoring	scoring	NOUN
ejpam-5691	130	18	function	function	NOUN
ejpam-5691	130	19	is	be	AUX
ejpam-5691	130	20	introduced	introduce	VERB
ejpam-5691	130	21	to	to	PART
ejpam-5691	130	22	facilitate	facilitate	VERB
ejpam-5691	130	23	the	the	DET
ejpam-5691	130	24	comparison	comparison	NOUN
ejpam-5691	130	25	of	of	ADP
ejpam-5691	130	26	any	any	DET
ejpam-5691	130	27	number	number	NOUN
ejpam-5691	130	28	of	of	ADP
ejpam-5691	130	29	bipolar	bipolar	ADJ
ejpam-5691	130	30	fermatean	fermatean	ADJ
ejpam-5691	130	31	fuzzy	fuzzy	ADJ
ejpam-5691	130	32	sets	set	NOUN
ejpam-5691	130	33	.	.	PUNCT
ejpam-5691	131	1	new	new	ADJ
ejpam-5691	131	2	aggregation	aggregation	NOUN
ejpam-5691	131	3	operators	operator	NOUN
ejpam-5691	131	4	,	,	PUNCT
ejpam-5691	131	5	including	include	VERB
ejpam-5691	131	6	the	the	DET
ejpam-5691	131	7	hamacher	hamacher	NOUN
ejpam-5691	131	8	averaging	average	VERB
ejpam-5691	131	9	operator	operator	NOUN
ejpam-5691	131	10	is	be	AUX
ejpam-5691	131	11	developed	develop	VERB
ejpam-5691	131	12	for	for	ADP
ejpam-5691	131	13	effective	effective	ADJ
ejpam-5691	131	14	bipolar	bipolar	ADJ
ejpam-5691	131	15	fermatean	fermatean	ADJ
ejpam-5691	131	16	fuzzy	fuzzy	ADJ
ejpam-5691	131	17	sets	set	NOUN
ejpam-5691	131	18	.	.	PUNCT
ejpam-5691	132	1	the	the	DET
ejpam-5691	132	2	beneficial	beneficial	ADJ
ejpam-5691	132	3	characteristics	characteristic	NOUN
ejpam-5691	132	4	of	of	ADP
ejpam-5691	132	5	these	these	DET
ejpam-5691	132	6	proposed	propose	VERB
ejpam-5691	132	7	operators	operator	NOUN
ejpam-5691	132	8	are	be	AUX
ejpam-5691	132	9	discussed	discuss	VERB
ejpam-5691	132	10	to	to	PART
ejpam-5691	132	11	highlight	highlight	VERB
ejpam-5691	132	12	their	their	PRON
ejpam-5691	132	13	utility	utility	NOUN
ejpam-5691	132	14	and	and	CCONJ
ejpam-5691	132	15	effectiveness	effectiveness	NOUN
ejpam-5691	132	16	.	.	PUNCT
ejpam-5691	133	1	to	to	PART
ejpam-5691	133	2	address	address	VERB
ejpam-5691	133	3	madm	madm	NOUN
ejpam-5691	133	4	challenges	challenge	NOUN
ejpam-5691	133	5	involving	involve	VERB
ejpam-5691	133	6	unknown	unknown	ADJ
ejpam-5691	133	7	decision	decision	NOUN
ejpam-5691	133	8	makers	maker	NOUN
ejpam-5691	133	9	and	and	CCONJ
ejpam-5691	133	10	criteria	criterion	NOUN
ejpam-5691	133	11	weights	weight	NOUN
ejpam-5691	133	12	,	,	PUNCT
ejpam-5691	133	13	a	a	DET
ejpam-5691	133	14	composite	composite	ADJ
ejpam-5691	133	15	bipolar	bipolar	ADJ
ejpam-5691	133	16	fermatean	fermatean	NOUN
ejpam-5691	133	17	fuzzy	fuzzy	ADJ
ejpam-5691	133	18	based	base	VERB
ejpam-5691	133	19	framework	framework	NOUN
ejpam-5691	133	20	is	be	AUX
ejpam-5691	133	21	proposed	propose	VERB
ejpam-5691	133	22	.	.	PUNCT
ejpam-5691	134	1	this	this	DET
ejpam-5691	134	2	framework	framework	NOUN
ejpam-5691	134	3	combines	combine	VERB
ejpam-5691	134	4	the	the	DET
ejpam-5691	134	5	scoring	scoring	NOUN
ejpam-5691	134	6	function	function	NOUN
ejpam-5691	134	7	with	with	ADP
ejpam-5691	134	8	hamacher	hamacher	NOUN
ejpam-5691	134	9	aggregation	aggregation	NOUN
ejpam-5691	134	10	operators	operator	NOUN
ejpam-5691	134	11	for	for	ADP
ejpam-5691	134	12	enhanced	enhanced	ADJ
ejpam-5691	134	13	decisionmaking	decisionmaking	NOUN
ejpam-5691	134	14	.	.	PUNCT
ejpam-5691	135	1	a	a	DET
ejpam-5691	135	2	case	case	NOUN
ejpam-5691	135	3	study	study	NOUN
ejpam-5691	135	4	on	on	ADP
ejpam-5691	135	5	choosing	choose	VERB
ejpam-5691	135	6	an	an	DET
ejpam-5691	135	7	e	e	NOUN
ejpam-5691	135	8	-	-	ADJ
ejpam-5691	135	9	waste	waste	ADJ
ejpam-5691	135	10	salvage	salvage	NOUN
ejpam-5691	135	11	partner	partner	NOUN
ejpam-5691	135	12	in	in	ADP
ejpam-5691	135	13	porcelain	porcelain	NOUN
ejpam-5691	135	14	highlights	highlight	NOUN
ejpam-5691	135	15	the	the	DET
ejpam-5691	135	16	approach	approach	NOUN
ejpam-5691	135	17	’s	’s	PART
ejpam-5691	135	18	stability	stability	NOUN
ejpam-5691	135	19	and	and	CCONJ
ejpam-5691	135	20	reliability	reliability	NOUN
ejpam-5691	135	21	within	within	ADP
ejpam-5691	135	22	the	the	DET
ejpam-5691	135	23	bipolar	bipolar	ADJ
ejpam-5691	135	24	fermatean	fermatean	NOUN
ejpam-5691	135	25	fuzzy	fuzzy	ADJ
ejpam-5691	135	26	framework	framework	NOUN
ejpam-5691	135	27	comparative	comparative	ADJ
ejpam-5691	135	28	study	study	NOUN
ejpam-5691	135	29	with	with	ADP
ejpam-5691	135	30	existing	exist	VERB
ejpam-5691	135	31	approaches	approach	NOUN
ejpam-5691	135	32	validates	validate	VERB
ejpam-5691	135	33	the	the	DET
ejpam-5691	135	34	robustness	robustness	NOUN
ejpam-5691	135	35	and	and	CCONJ
ejpam-5691	135	36	effectiveness	effectiveness	NOUN
ejpam-5691	135	37	of	of	ADP
ejpam-5691	135	38	our	our	PRON
ejpam-5691	135	39	approach	approach	NOUN
ejpam-5691	135	40	,	,	PUNCT
ejpam-5691	135	41	underscoring	underscore	VERB
ejpam-5691	135	42	its	its	PRON
ejpam-5691	135	43	improved	improved	ADJ
ejpam-5691	135	44	performance	performance	NOUN
ejpam-5691	135	45	and	and	CCONJ
ejpam-5691	135	46	reliability	reliability	NOUN
ejpam-5691	135	47	.	.	PUNCT
ejpam-5691	136	1	structure	structure	NOUN
ejpam-5691	136	2	of	of	ADP
ejpam-5691	136	3	the	the	DET
ejpam-5691	136	4	study	study	NOUN
ejpam-5691	136	5	the	the	DET
ejpam-5691	136	6	remainder	remainder	NOUN
ejpam-5691	136	7	of	of	ADP
ejpam-5691	136	8	this	this	DET
ejpam-5691	136	9	study	study	NOUN
ejpam-5691	136	10	is	be	AUX
ejpam-5691	136	11	structured	structure	VERB
ejpam-5691	136	12	as	as	SCONJ
ejpam-5691	136	13	follows	follow	VERB
ejpam-5691	136	14	:	:	PUNCT
ejpam-5691	136	15	section	section	NOUN
ejpam-5691	136	16	2	2	NUM
ejpam-5691	136	17	offerings	offering	NOUN
ejpam-5691	136	18	a	a	DET
ejpam-5691	136	19	comprehensive	comprehensive	ADJ
ejpam-5691	136	20	evaluation	evaluation	NOUN
ejpam-5691	136	21	of	of	ADP
ejpam-5691	136	22	the	the	DET
ejpam-5691	136	23	proposed	propose	VERB
ejpam-5691	136	24	study	study	NOUN
ejpam-5691	136	25	.	.	PUNCT
ejpam-5691	137	1	section	section	NOUN
ejpam-5691	137	2	3	3	NUM
ejpam-5691	137	3	explores	explore	VERB
ejpam-5691	137	4	the	the	DET
ejpam-5691	137	5	fundamental	fundamental	ADJ
ejpam-5691	137	6	concepts	concept	NOUN
ejpam-5691	137	7	of	of	ADP
ejpam-5691	137	8	bipolar	bipolar	ADJ
ejpam-5691	137	9	fermatean	fermatean	ADJ
ejpam-5691	137	10	fuzzy	fuzzy	ADJ
ejpam-5691	137	11	sets	set	NOUN
ejpam-5691	137	12	.	.	PUNCT
ejpam-5691	138	1	in	in	ADP
ejpam-5691	138	2	section	section	NOUN
ejpam-5691	138	3	4	4	NUM
ejpam-5691	138	4	,	,	PUNCT
ejpam-5691	138	5	we	we	PRON
ejpam-5691	138	6	introduce	introduce	VERB
ejpam-5691	138	7	six	six	NUM
ejpam-5691	138	8	aggregation	aggregation	NOUN
ejpam-5691	138	9	operators	operator	NOUN
ejpam-5691	138	10	within	within	ADP
ejpam-5691	138	11	the	the	DET
ejpam-5691	138	12	context	context	NOUN
ejpam-5691	138	13	of	of	ADP
ejpam-5691	138	14	bipolar	bipolar	ADJ
ejpam-5691	138	15	fuzzy	fuzzy	ADJ
ejpam-5691	138	16	sets	set	NOUN
ejpam-5691	138	17	.	.	PUNCT
ejpam-5691	139	1	section	section	NOUN
ejpam-5691	139	2	5	5	NUM
ejpam-5691	139	3	applies	apply	VERB
ejpam-5691	139	4	the	the	DET
ejpam-5691	139	5	multi	multi	ADJ
ejpam-5691	139	6	-	-	ADJ
ejpam-5691	139	7	attribute	attribute	NOUN
ejpam-5691	139	8	decision	decision	NOUN
ejpam-5691	139	9	-	-	PUNCT
ejpam-5691	139	10	making	make	VERB
ejpam-5691	139	11	technique	technique	NOUN
ejpam-5691	139	12	consuming	consume	VERB
ejpam-5691	139	13	the	the	DET
ejpam-5691	139	14	proposed	propose	VERB
ejpam-5691	139	15	bipolar	bipolar	ADJ
ejpam-5691	139	16	fermatean	fermatean	ADJ
ejpam-5691	139	17	fuzzy	fuzzy	ADJ
ejpam-5691	139	18	aggregation	aggregation	NOUN
ejpam-5691	139	19	operators	operator	NOUN
ejpam-5691	139	20	.	.	PUNCT
ejpam-5691	140	1	section	section	NOUN
ejpam-5691	140	2	6	6	NUM
ejpam-5691	140	3	examines	examine	VERB
ejpam-5691	140	4	a	a	DET
ejpam-5691	140	5	case	case	NOUN
ejpam-5691	140	6	study	study	NOUN
ejpam-5691	140	7	fixated	fixated	ADJ
ejpam-5691	140	8	on	on	ADP
ejpam-5691	140	9	selecting	select	VERB
ejpam-5691	140	10	an	an	DET
ejpam-5691	140	11	e	e	NOUN
ejpam-5691	140	12	-	-	ADJ
ejpam-5691	140	13	waste	waste	ADJ
ejpam-5691	140	14	recycling	recycling	NOUN
ejpam-5691	140	15	cohort	cohort	NOUN
ejpam-5691	140	16	in	in	ADP
ejpam-5691	140	17	porcelain	porcelain	NOUN
ejpam-5691	140	18	,	,	PUNCT
ejpam-5691	140	19	provides	provide	VERB
ejpam-5691	140	20	a	a	DET
ejpam-5691	140	21	comparison	comparison	NOUN
ejpam-5691	140	22	of	of	ADP
ejpam-5691	140	23	our	our	PRON
ejpam-5691	140	24	suggested	suggest	VERB
ejpam-5691	140	25	approach	approach	NOUN
ejpam-5691	140	26	with	with	ADP
ejpam-5691	140	27	existing	exist	VERB
ejpam-5691	140	28	approaches	approach	NOUN
ejpam-5691	140	29	.	.	PUNCT
ejpam-5691	141	1	section	section	NOUN
ejpam-5691	141	2	7	7	NUM
ejpam-5691	141	3	defined	define	VERB
ejpam-5691	141	4	the	the	DET
ejpam-5691	141	5	conclusion	conclusion	NOUN
ejpam-5691	141	6	.	.	PUNCT
ejpam-5691	142	1	2	2	X
ejpam-5691	142	2	.	.	X
ejpam-5691	142	3	preliminaries	preliminary	NOUN
ejpam-5691	142	4	in	in	ADP
ejpam-5691	142	5	this	this	DET
ejpam-5691	142	6	section	section	NOUN
ejpam-5691	142	7	,	,	PUNCT
ejpam-5691	142	8	basic	basic	ADJ
ejpam-5691	142	9	definitions	definition	NOUN
ejpam-5691	142	10	are	be	AUX
ejpam-5691	142	11	defined	define	VERB
ejpam-5691	142	12	.	.	PUNCT
ejpam-5691	143	1	a.	a.	PROPN
ejpam-5691	143	2	fahmi	fahmi	PROPN
ejpam-5691	143	3	et	et	PROPN
ejpam-5691	143	4	al	al	PROPN
ejpam-5691	143	5	.	.	PUNCT
ejpam-5691	143	6	/	/	SYM
ejpam-5691	143	7	eur	eur	PROPN
ejpam-5691	143	8	.	.	PUNCT
ejpam-5691	144	1	j.	j.	PROPN
ejpam-5691	144	2	pure	pure	PROPN
ejpam-5691	144	3	appl	appl	PROPN
ejpam-5691	144	4	.	.	PROPN
ejpam-5691	144	5	math	math	PROPN
ejpam-5691	144	6	,	,	PUNCT
ejpam-5691	144	7	18	18	NUM
ejpam-5691	144	8	(	(	PUNCT
ejpam-5691	144	9	1	1	NUM
ejpam-5691	144	10	)	)	PUNCT
ejpam-5691	144	11	(	(	PUNCT
ejpam-5691	144	12	2025	2025	NUM
ejpam-5691	144	13	)	)	PUNCT
ejpam-5691	144	14	,	,	PUNCT
ejpam-5691	144	15	5691	5691	NUM
ejpam-5691	144	16	7	7	NUM
ejpam-5691	144	17	of	of	ADP
ejpam-5691	144	18	32	32	NUM
ejpam-5691	144	19	definition	definition	NOUN
ejpam-5691	144	20	1	1	NUM
ejpam-5691	144	21	.	.	PUNCT
ejpam-5691	145	1	[	[	X
ejpam-5691	145	2	47	47	NUM
ejpam-5691	145	3	]	]	PUNCT
ejpam-5691	145	4	let	let	VERB
ejpam-5691	145	5	us	we	PRON
ejpam-5691	145	6	consider	consider	VERB
ejpam-5691	145	7	that	that	SCONJ
ejpam-5691	145	8	φ	φ	NOUN
ejpam-5691	145	9	̸=	̸=	PROPN
ejpam-5691	145	10	x	x	PUNCT
ejpam-5691	145	11	and	and	CCONJ
ejpam-5691	145	12	by	by	ADP
ejpam-5691	145	13	a	a	DET
ejpam-5691	145	14	fuzzy	fuzzy	ADJ
ejpam-5691	145	15	set	set	VERB
ejpam-5691	145	16	γ	γ	X
ejpam-5691	145	17	=	=	SYM
ejpam-5691	145	18	{	{	PUNCT
ejpam-5691	145	19	〈	〈	PROPN
ejpam-5691	145	20	x	x	NOUN
ejpam-5691	145	21	,	,	PUNCT
ejpam-5691	145	22	µγ(x	µγ(x	NOUN
ejpam-5691	145	23	)	)	PUNCT
ejpam-5691	145	24	〉	〉	NOUN
ejpam-5691	145	25	:	:	PUNCT
ejpam-5691	145	26	x	x	X
ejpam-5691	145	27	∈	∈	NOUN
ejpam-5691	145	28	x	x	PUNCT
ejpam-5691	145	29	}	}	PUNCT
ejpam-5691	145	30	,	,	PUNCT
ejpam-5691	145	31	µγ(x	µγ(x	NOUN
ejpam-5691	145	32	)	)	PUNCT
ejpam-5691	145	33	is	be	AUX
ejpam-5691	145	34	a	a	DET
ejpam-5691	145	35	mapping	mapping	NOUN
ejpam-5691	145	36	from	from	ADP
ejpam-5691	145	37	x	x	X
ejpam-5691	145	38	to	to	ADP
ejpam-5691	145	39	[	[	X
ejpam-5691	145	40	0	0	NUM
ejpam-5691	145	41	,	,	PUNCT
ejpam-5691	145	42	1	1	NUM
ejpam-5691	145	43	]	]	PUNCT
ejpam-5691	145	44	represent	represent	VERB
ejpam-5691	145	45	membership	membership	NOUN
ejpam-5691	145	46	function	function	NOUN
ejpam-5691	145	47	of	of	ADP
ejpam-5691	145	48	an	an	DET
ejpam-5691	145	49	element	element	NOUN
ejpam-5691	145	50	x	x	PUNCT
ejpam-5691	145	51	in	in	ADP
ejpam-5691	145	52	x	x	X
ejpam-5691	145	53	.	.	PUNCT
ejpam-5691	145	54	definition	definition	NOUN
ejpam-5691	145	55	2	2	NUM
ejpam-5691	145	56	.	.	PUNCT
ejpam-5691	146	1	[	[	X
ejpam-5691	146	2	34	34	NUM
ejpam-5691	146	3	]	]	PUNCT
ejpam-5691	146	4	the	the	DET
ejpam-5691	146	5	fixed	fix	VERB
ejpam-5691	146	6	set	set	NOUN
ejpam-5691	146	7	c	c	PROPN
ejpam-5691	146	8	and	and	CCONJ
ejpam-5691	146	9	the	the	DET
ejpam-5691	146	10	ffn	ffn	NOUN
ejpam-5691	146	11	a	a	NOUN
ejpam-5691	146	12	is	be	AUX
ejpam-5691	146	13	defined	define	VERB
ejpam-5691	146	14	in	in	ADP
ejpam-5691	146	15	a	a	DET
ejpam-5691	146	16	=	=	X
ejpam-5691	146	17			PUNCT
ejpam-5691	146	18	⟨dha(p	⟨dha(p	NOUN
ejpam-5691	146	19	)	)	PUNCT
ejpam-5691	146	20	,	,	PUNCT
ejpam-5691	146	21	χa(p)⟩	χa(p)⟩	PROPN
ejpam-5691	146	22	:	:	PUNCT
ejpam-5691	146	23	p	p	X
ejpam-5691	146	24	∈	∈	NOUN
ejpam-5691	146	25	c	c	X
ejpam-5691	147	1			NOUN
ejpam-5691	147	2	,	,	PUNCT
ejpam-5691	147	3	where	where	SCONJ
ejpam-5691	147	4	dha(p	dha(p	NOUN
ejpam-5691	147	5	)	)	PUNCT
ejpam-5691	147	6	and	and	CCONJ
ejpam-5691	147	7	χa(p	χa(p	NUM
ejpam-5691	147	8	)	)	PUNCT
ejpam-5691	147	9	exhibit	exhibit	VERB
ejpam-5691	147	10	the	the	DET
ejpam-5691	147	11	med	med	ADJ
ejpam-5691	147	12	and	and	CCONJ
ejpam-5691	147	13	nomed	nome	VERB
ejpam-5691	147	14	,	,	PUNCT
ejpam-5691	147	15	and	and	CCONJ
ejpam-5691	147	16	dha(p	dha(p	NUM
ejpam-5691	147	17	)	)	PUNCT
ejpam-5691	147	18	∈	∈	PROPN
ejpam-5691	148	1	[	[	X
ejpam-5691	148	2	0	0	NUM
ejpam-5691	148	3	,	,	PUNCT
ejpam-5691	148	4	1],χa(p	1],χa(p	NUM
ejpam-5691	148	5	)	)	PUNCT
ejpam-5691	148	6	∈	∈	PROPN
ejpam-5691	149	1	[	[	X
ejpam-5691	149	2	0	0	NUM
ejpam-5691	149	3	,	,	PUNCT
ejpam-5691	149	4	1	1	NUM
ejpam-5691	149	5	]	]	PUNCT
ejpam-5691	149	6	and	and	CCONJ
ejpam-5691	149	7	0	0	NUM
ejpam-5691	149	8	≤	≤	NUM
ejpam-5691	149	9	dha(p	dha(p	PROPN
ejpam-5691	149	10	)	)	PUNCT
ejpam-5691	149	11	3	3	NUM
ejpam-5691	149	12	+	+	CCONJ
ejpam-5691	149	13	χa(p	χa(p	NUM
ejpam-5691	149	14	)	)	PUNCT
ejpam-5691	149	15	3	3	NUM
ejpam-5691	149	16	≤	≤	NUM
ejpam-5691	149	17	1	1	NUM
ejpam-5691	149	18	.	.	PUNCT
ejpam-5691	150	1	the	the	DET
ejpam-5691	150	2	degree	degree	NOUN
ejpam-5691	150	3	of	of	ADP
ejpam-5691	150	4	indeterminacy	indeterminacy	NOUN
ejpam-5691	150	5	is	be	AUX
ejpam-5691	150	6	defined	define	VERB
ejpam-5691	150	7	as	as	ADP
ejpam-5691	150	8	πa(p	πa(p	VERB
ejpam-5691	150	9	)	)	PUNCT
ejpam-5691	150	10	=	=	SYM
ejpam-5691	150	11	3	3	NUM
ejpam-5691	150	12	√	√	NUM
ejpam-5691	150	13	(	(	PUNCT
ejpam-5691	150	14	dha(p)3	dha(p)3	ADV
ejpam-5691	150	15	+	+	NUM
ejpam-5691	150	16	χa(p)3	χa(p)3	NOUN
ejpam-5691	150	17	−dha(p)3χa(p)3	−dha(p)3χa(p)3	NOUN
ejpam-5691	150	18	)	)	PUNCT
ejpam-5691	150	19	.	.	PUNCT
ejpam-5691	151	1	the	the	DET
ejpam-5691	151	2	ffn	ffn	PROPN
ejpam-5691	151	3	is	be	AUX
ejpam-5691	151	4	denoted	denote	VERB
ejpam-5691	151	5	as	as	ADP
ejpam-5691	151	6	a	a	DET
ejpam-5691	151	7	=	=	SYM
ejpam-5691	151	8	⟨dha	⟨dha	PROPN
ejpam-5691	151	9	,	,	PUNCT
ejpam-5691	151	10	χa⟩.	χa⟩.	ADJ
ejpam-5691	151	11	definition	definition	NOUN
ejpam-5691	151	12	3	3	NUM
ejpam-5691	151	13	.	.	PUNCT
ejpam-5691	152	1	[	[	X
ejpam-5691	152	2	23	23	NUM
ejpam-5691	152	3	]	]	PUNCT
ejpam-5691	152	4	let	let	VERB
ejpam-5691	152	5	ϕ1	ϕ1	NOUN
ejpam-5691	152	6	=	=	SYM
ejpam-5691	152	7	{	{	PUNCT
ejpam-5691	152	8	ψ1	ψ1	NOUN
ejpam-5691	152	9	,	,	PUNCT
ejpam-5691	152	10	χ1	χ1	NOUN
ejpam-5691	152	11	}	}	PUNCT
ejpam-5691	152	12	and	and	CCONJ
ejpam-5691	152	13	ϕ2	ϕ2	ADV
ejpam-5691	152	14	=	=	SYM
ejpam-5691	152	15	{	{	PUNCT
ejpam-5691	152	16	ψ2	ψ2	NOUN
ejpam-5691	152	17	,	,	PUNCT
ejpam-5691	152	18	χ2	χ2	PROPN
ejpam-5691	152	19	}	}	PUNCT
ejpam-5691	152	20	be	be	VERB
ejpam-5691	152	21	two	two	NUM
ejpam-5691	152	22	ffns	ffns	NOUN
ejpam-5691	152	23	,	,	PUNCT
ejpam-5691	152	24	λ	λ	X
ejpam-5691	152	25	>	>	X
ejpam-5691	152	26	0	0	NUM
ejpam-5691	152	27	,	,	PUNCT
ejpam-5691	152	28	then	then	ADV
ejpam-5691	152	29	ϕ1	ϕ1	NOUN
ejpam-5691	152	30	⊕	⊕	PROPN
ejpam-5691	152	31	ϕ2	ϕ2	ADV
ejpam-5691	152	32	=	=	SYM
ejpam-5691	152	33			PROPN
ejpam-5691	152	34	3	3	NUM
ejpam-5691	152	35	√	√	PROPN
ejpam-5691	152	36	(	(	PUNCT
ejpam-5691	152	37	ψ1)3+(ψ2)3−(ψ1)3(ψ2)3−(1−λ)(ψ1)3(ψ2)3	ψ1)3+(ψ2)3−(ψ1)3(ψ2)3−(1−λ)(ψ1)3(ψ2)3	X
ejpam-5691	152	38	1−(1−λ)(ψ1)3(ψ2)3	1−(1−λ)(ψ1)3(ψ2)3	NUM
ejpam-5691	152	39	,	,	PUNCT
ejpam-5691	152	40	χ1χ2	χ1χ2	X
ejpam-5691	152	41	3	3	NUM
ejpam-5691	152	42	√	√	NUM
ejpam-5691	152	43	λ+(1−λ)(χ1)3+(χ2)3−(χ1)3(χ2)3	λ+(1−λ)(χ1)3+(χ2)3−(χ1)3(χ2)3	NUM
ejpam-5691	152	44			NOUN
ejpam-5691	152	45	;	;	PUNCT
ejpam-5691	152	46	ϕ1	ϕ1	NOUN
ejpam-5691	152	47	⊗	⊗	PROPN
ejpam-5691	152	48	ϕ2	ϕ2	ADV
ejpam-5691	152	49	=	=	SYM
ejpam-5691	152	50			PROPN
ejpam-5691	152	51	ψ1ψ2	ψ1ψ2	PROPN
ejpam-5691	152	52	3	3	NUM
ejpam-5691	152	53	√	√	PROPN
ejpam-5691	152	54	λ+(1−λ)(ψ1)3+(ψ2)3−(ψ1)3(ψ2)3	λ+(1−λ)(ψ1)3+(ψ2)3−(ψ1)3(ψ2)3	X
ejpam-5691	152	55	,	,	PUNCT
ejpam-5691	152	56	3	3	NUM
ejpam-5691	152	57	√	√	NUM
ejpam-5691	152	58	(	(	PUNCT
ejpam-5691	152	59	χ1)3+(χ2)3−(χ1)3(χ2)3−(1−λ)(χ1)3(χ2)3	χ1)3+(χ2)3−(χ1)3(χ2)3−(1−λ)(χ1)3(χ2)3	X
ejpam-5691	152	60	1−(1−λ)(χ1)3(ψχ)3	1−(1−λ)(χ1)3(ψχ)3	NUM
ejpam-5691	152	61			NOUN
ejpam-5691	152	62	;	;	PUNCT
ejpam-5691	152	63	λϕ1	λϕ1	NOUN
ejpam-5691	152	64	=	=	PUNCT
ejpam-5691	152	65			PRON
ejpam-5691	152	66	3	3	NUM
ejpam-5691	152	67	√	√	NUM
ejpam-5691	152	68	(	(	PUNCT
ejpam-5691	152	69	1+(λ−1)(ψ1)3)λ−(1−ψ1)3)λ	1+(λ−1)(ψ1)3)λ−(1−ψ1)3)λ	NUM
ejpam-5691	152	70	(	(	PUNCT
ejpam-5691	152	71	1+(λ−1)(1−ψ3	1+(λ−1)(1−ψ3	NUM
ejpam-5691	152	72	1	1	NUM
ejpam-5691	152	73	)	)	PUNCT
ejpam-5691	152	74	λ+(λ−1)((ψ1)3)λ	λ+(λ−1)((ψ1)3)λ	NUM
ejpam-5691	152	75	,	,	PUNCT
ejpam-5691	152	76	3√	3√	NOUN
ejpam-5691	152	77	λ(χ1)λ	λ(χ1)λ	ADP
ejpam-5691	152	78	3	3	NUM
ejpam-5691	152	79	√	√	NUM
ejpam-5691	152	80	(	(	PUNCT
ejpam-5691	152	81	1+(λ−1)(χ1)3)λ+(λ−1)(1−(χ1)3)λ	1+(λ−1)(χ1)3)λ+(λ−1)(1−(χ1)3)λ	NUM
ejpam-5691	152	82			NUM
ejpam-5691	152	83	;	;	PUNCT
ejpam-5691	152	84	ϕλ	ϕλ	DET
ejpam-5691	152	85	1	1	NUM
ejpam-5691	152	86	=	=	SYM
ejpam-5691	152	87			PUNCT
ejpam-5691	152	88	3√	3√	NOUN
ejpam-5691	152	89	λ(ψ+	λ(ψ+	NOUN
ejpam-5691	152	90	1	1	X
ejpam-5691	152	91	)	)	PUNCT
ejpam-5691	152	92	λ	λ	NOUN
ejpam-5691	152	93	3	3	NUM
ejpam-5691	152	94	√	√	PROPN
ejpam-5691	152	95	(	(	PUNCT
ejpam-5691	152	96	1+(λ−1)(ψ+	1+(λ−1)(ψ+	NUM
ejpam-5691	152	97	1	1	NUM
ejpam-5691	152	98	)	)	PUNCT
ejpam-5691	152	99	3)λ+(λ−1)(1−(ψ+	3)λ+(λ−1)(1−(ψ+	NUM
ejpam-5691	152	100	1	1	NUM
ejpam-5691	152	101	)	)	PUNCT
ejpam-5691	152	102	3)λ	3)λ	NUM
ejpam-5691	152	103	,	,	PUNCT
ejpam-5691	152	104	3	3	NUM
ejpam-5691	152	105	√	√	NUM
ejpam-5691	152	106	(	(	PUNCT
ejpam-5691	152	107	1+(λ−1)(χ3	1+(λ−1)(χ3	NUM
ejpam-5691	152	108	1	1	NUM
ejpam-5691	152	109	)	)	PUNCT
ejpam-5691	152	110	λ−(1−(χ3	λ−(1−(χ3	NOUN
ejpam-5691	152	111	1	1	NUM
ejpam-5691	152	112	)	)	PUNCT
ejpam-5691	152	113	λ	λ	NOUN
ejpam-5691	152	114	(	(	PUNCT
ejpam-5691	152	115	1+(λ−1)(1−χ3	1+(λ−1)(1−χ3	NUM
ejpam-5691	152	116	1	1	NUM
ejpam-5691	152	117	)	)	PUNCT
ejpam-5691	152	118	λ+(λ−1)((χ3	λ+(λ−1)((χ3	NOUN
ejpam-5691	152	119	1	1	NUM
ejpam-5691	152	120	)	)	PUNCT
ejpam-5691	152	121	λ	λ	NOUN
ejpam-5691	152	122			NUM
ejpam-5691	152	123	.	.	PUNCT
ejpam-5691	153	1	definition	definition	NOUN
ejpam-5691	153	2	4	4	NUM
ejpam-5691	153	3	.	.	PUNCT
ejpam-5691	154	1	[	[	X
ejpam-5691	154	2	23	23	NUM
ejpam-5691	154	3	]	]	PUNCT
ejpam-5691	154	4	let	let	VERB
ejpam-5691	154	5	a	a	PRON
ejpam-5691	154	6	=	=	SYM
ejpam-5691	154	7	{	{	PUNCT
ejpam-5691	154	8	ς	ς	PROPN
ejpam-5691	154	9	,	,	PUNCT
ejpam-5691	154	10	χ	χ	PRON
ejpam-5691	154	11	}	}	PUNCT
ejpam-5691	154	12	be	be	AUX
ejpam-5691	154	13	the	the	DET
ejpam-5691	154	14	ffns	ffns	NOUN
ejpam-5691	154	15	,	,	PUNCT
ejpam-5691	154	16	the	the	DET
ejpam-5691	154	17	score	score	NOUN
ejpam-5691	154	18	function	function	NOUN
ejpam-5691	154	19	is	be	AUX
ejpam-5691	154	20	given	give	VERB
ejpam-5691	154	21	as	as	ADP
ejpam-5691	154	22	a	a	DET
ejpam-5691	154	23	=	=	SYM
ejpam-5691	154	24	ς3α−χ3	ς3α−χ3	NUM
ejpam-5691	154	25	α	α	NOUN
ejpam-5691	154	26	.	.	PUNCT
ejpam-5691	154	27	definition	definition	NOUN
ejpam-5691	154	28	5	5	NUM
ejpam-5691	154	29	.	.	PUNCT
ejpam-5691	155	1	[	[	X
ejpam-5691	155	2	23	23	NUM
ejpam-5691	155	3	]	]	PUNCT
ejpam-5691	155	4	let	let	VERB
ejpam-5691	155	5	a	a	PRON
ejpam-5691	155	6	=	=	SYM
ejpam-5691	155	7	{	{	PUNCT
ejpam-5691	155	8	ς	ς	PROPN
ejpam-5691	155	9	,	,	PUNCT
ejpam-5691	155	10	χ	χ	PRON
ejpam-5691	155	11	}	}	PUNCT
ejpam-5691	155	12	be	be	AUX
ejpam-5691	155	13	the	the	DET
ejpam-5691	155	14	ffns	ffns	NOUN
ejpam-5691	155	15	,	,	PUNCT
ejpam-5691	155	16	the	the	DET
ejpam-5691	155	17	accuracy	accuracy	NOUN
ejpam-5691	155	18	function	function	NOUN
ejpam-5691	155	19	is	be	AUX
ejpam-5691	155	20	given	give	VERB
ejpam-5691	155	21	as	as	ADP
ejpam-5691	155	22	a	a	DET
ejpam-5691	155	23	=	=	SYM
ejpam-5691	155	24	ς3α	ς3α	NOUN
ejpam-5691	155	25	+	+	CCONJ
ejpam-5691	156	1	χ3	χ3	NOUN
ejpam-5691	156	2	α	α	NOUN
ejpam-5691	156	3	.	.	PUNCT
ejpam-5691	156	4	definition	definition	NOUN
ejpam-5691	156	5	6	6	NUM
ejpam-5691	156	6	.	.	PUNCT
ejpam-5691	157	1	[	[	X
ejpam-5691	157	2	49	49	NUM
ejpam-5691	157	3	,	,	PUNCT
ejpam-5691	157	4	50	50	NUM
ejpam-5691	157	5	]	]	PUNCT
ejpam-5691	157	6	let	let	VERB
ejpam-5691	157	7	x	x	PRON
ejpam-5691	157	8	be	be	AUX
ejpam-5691	157	9	a	a	DET
ejpam-5691	157	10	fix	fix	NOUN
ejpam-5691	157	11	set	set	VERB
ejpam-5691	157	12	.	.	PUNCT
ejpam-5691	158	1	a	a	DET
ejpam-5691	158	2	bfs	bfs	NOUN
ejpam-5691	158	3	is	be	AUX
ejpam-5691	158	4	an	an	DET
ejpam-5691	158	5	object	object	NOUN
ejpam-5691	158	6	having	have	VERB
ejpam-5691	158	7	the	the	DET
ejpam-5691	158	8	form	form	NOUN
ejpam-5691	158	9	a	a	DET
ejpam-5691	158	10	=	=	NOUN
ejpam-5691	158	11	{	{	PUNCT
ejpam-5691	158	12	⟨e+	⟨e+	NOUN
ejpam-5691	158	13	a	a	X
ejpam-5691	158	14	(	(	PUNCT
ejpam-5691	158	15	x	x	NOUN
ejpam-5691	158	16	)	)	PUNCT
ejpam-5691	158	17	,	,	PUNCT
ejpam-5691	158	18	χ	χ	X
ejpam-5691	158	19	−	−	PROPN
ejpam-5691	158	20	a(x)⟩	a(x)⟩	PROPN
ejpam-5691	158	21	,	,	PUNCT
ejpam-5691	158	22	:	:	PUNCT
ejpam-5691	158	23	x	x	PUNCT
ejpam-5691	159	1	∈	∈	PROPN
ejpam-5691	159	2	c	c	NOUN
ejpam-5691	159	3	}	}	PUNCT
ejpam-5691	159	4	.	.	PUNCT
ejpam-5691	160	1	the	the	DET
ejpam-5691	160	2	fixed	fix	VERB
ejpam-5691	160	3	set	set	NOUN
ejpam-5691	160	4	c	c	PROPN
ejpam-5691	160	5	and	and	CCONJ
ejpam-5691	160	6	the	the	DET
ejpam-5691	160	7	bn	bn	NOUN
ejpam-5691	160	8	a	a	PRON
ejpam-5691	160	9	is	be	AUX
ejpam-5691	160	10	defined	define	VERB
ejpam-5691	160	11	in	in	ADP
ejpam-5691	160	12	,	,	PUNCT
ejpam-5691	160	13	where	where	SCONJ
ejpam-5691	160	14	the	the	DET
ejpam-5691	160	15	positive	positive	ADJ
ejpam-5691	160	16	membership	membership	NOUN
ejpam-5691	160	17	degree	degree	NOUN
ejpam-5691	160	18	function	function	NOUN
ejpam-5691	160	19	e+	e+	VERB
ejpam-5691	160	20	a	a	DET
ejpam-5691	160	21	(	(	PUNCT
ejpam-5691	160	22	x	x	NOUN
ejpam-5691	160	23	)	)	PUNCT
ejpam-5691	160	24	:	:	PUNCT
ejpam-5691	161	1	x	x	X
ejpam-5691	161	2	7−→	7−→	NOUN
ejpam-5691	161	3	[	[	X
ejpam-5691	161	4	0	0	NUM
ejpam-5691	161	5	,	,	PUNCT
ejpam-5691	161	6	1	1	NUM
ejpam-5691	161	7	]	]	PUNCT
ejpam-5691	161	8	denotes	denote	VERB
ejpam-5691	161	9	the	the	DET
ejpam-5691	161	10	satisfaction	satisfaction	NOUN
ejpam-5691	161	11	degree	degree	NOUN
ejpam-5691	161	12	of	of	ADP
ejpam-5691	161	13	an	an	DET
ejpam-5691	161	14	element	element	NOUN
ejpam-5691	161	15	x	x	X
ejpam-5691	161	16	to	to	ADP
ejpam-5691	161	17	the	the	DET
ejpam-5691	161	18	property	property	NOUN
ejpam-5691	161	19	corresponding	correspond	VERB
ejpam-5691	161	20	to	to	ADP
ejpam-5691	161	21	a	a	DET
ejpam-5691	161	22	bfs	bfs	NOUN
ejpam-5691	161	23	a	a	PRON
ejpam-5691	161	24	and	and	CCONJ
ejpam-5691	161	25	the	the	DET
ejpam-5691	161	26	negative	negative	ADJ
ejpam-5691	161	27	membership	membership	NOUN
ejpam-5691	161	28	degree	degree	NOUN
ejpam-5691	161	29	function	function	NOUN
ejpam-5691	161	30	χ−	χ−	NOUN
ejpam-5691	161	31	a(x	a(x	NOUN
ejpam-5691	161	32	)	)	PUNCT
ejpam-5691	161	33	:	:	PUNCT
ejpam-5691	162	1	x	x	X
ejpam-5691	162	2	7−→	7−→	NOUN
ejpam-5691	162	3	[	[	X
ejpam-5691	162	4	0	0	NUM
ejpam-5691	162	5	,	,	PUNCT
ejpam-5691	162	6	1	1	NUM
ejpam-5691	162	7	]	]	PUNCT
ejpam-5691	162	8	,	,	PUNCT
ejpam-5691	162	9	denotes	denote	NOUN
ejpam-5691	162	10	satisfaction	satisfaction	NOUN
ejpam-5691	162	11	degree	degree	NOUN
ejpam-5691	162	12	of	of	ADP
ejpam-5691	162	13	an	an	DET
ejpam-5691	162	14	element	element	NOUN
ejpam-5691	162	15	x	x	PUNCT
ejpam-5691	162	16	to	to	ADP
ejpam-5691	162	17	some	some	DET
ejpam-5691	162	18	implicit	implicit	ADJ
ejpam-5691	162	19	counter	counter	ADJ
ejpam-5691	162	20	-	-	NOUN
ejpam-5691	162	21	property	property	NOUN
ejpam-5691	162	22	corresponding	corresponding	NOUN
ejpam-5691	162	23	to	to	ADP
ejpam-5691	162	24	a	a	DET
ejpam-5691	162	25	bfs	bfs	NOUN
ejpam-5691	162	26	a	a	PRON
ejpam-5691	162	27	,	,	PUNCT
ejpam-5691	162	28	respectively	respectively	ADV
ejpam-5691	162	29	,	,	PUNCT
ejpam-5691	162	30	and	and	CCONJ
ejpam-5691	162	31	,	,	PUNCT
ejpam-5691	162	32	for	for	ADP
ejpam-5691	162	33	every	every	DET
ejpam-5691	162	34	x	x	SYM
ejpam-5691	162	35	∈	∈	PROPN
ejpam-5691	162	36	x.	x.	NOUN
ejpam-5691	163	1	the	the	DET
ejpam-5691	163	2	bn	bn	PROPN
ejpam-5691	163	3	is	be	AUX
ejpam-5691	163	4	denoted	denote	VERB
ejpam-5691	163	5	as	as	ADP
ejpam-5691	163	6	a	a	DET
ejpam-5691	163	7	=	=	PUNCT
ejpam-5691	163	8	{	{	PUNCT
ejpam-5691	163	9	⟨e+	⟨e+	NOUN
ejpam-5691	163	10	a	a	X
ejpam-5691	163	11	(	(	PUNCT
ejpam-5691	163	12	x	x	NOUN
ejpam-5691	163	13	)	)	PUNCT
ejpam-5691	163	14	,	,	PUNCT
ejpam-5691	163	15	χ	χ	X
ejpam-5691	163	16	−	−	PROPN
ejpam-5691	163	17	a(x)⟩	a(x)⟩	PROPN
ejpam-5691	163	18	,	,	PUNCT
ejpam-5691	163	19	:	:	PUNCT
ejpam-5691	163	20	x	x	PUNCT
ejpam-5691	163	21	∈	∈	PROPN
ejpam-5691	163	22	c	c	NOUN
ejpam-5691	163	23	}	}	PUNCT
ejpam-5691	163	24	.	.	PUNCT
ejpam-5691	164	1	definition	definition	NOUN
ejpam-5691	164	2	7	7	NUM
ejpam-5691	164	3	.	.	PUNCT
ejpam-5691	165	1	[	[	X
ejpam-5691	165	2	39	39	NUM
ejpam-5691	165	3	]	]	PUNCT
ejpam-5691	165	4	let	let	VERB
ejpam-5691	165	5	a1	a1	NOUN
ejpam-5691	165	6	=	=	PUNCT
ejpam-5691	166	1	[	[	X
ejpam-5691	166	2	κ+1	κ+1	X
ejpam-5691	166	3	,	,	PUNCT
ejpam-5691	166	4	ς	ς	PROPN
ejpam-5691	166	5	−	−	PROPN
ejpam-5691	166	6	1	1	NUM
ejpam-5691	166	7	]	]	PUNCT
ejpam-5691	166	8	and	and	CCONJ
ejpam-5691	166	9	a2	a2	PROPN
ejpam-5691	166	10	=	=	PUNCT
ejpam-5691	167	1	[	[	X
ejpam-5691	167	2	κ+2	κ+2	X
ejpam-5691	167	3	,	,	PUNCT
ejpam-5691	167	4	ς	ς	PROPN
ejpam-5691	167	5	−	−	PROPN
ejpam-5691	167	6	2	2	NUM
ejpam-5691	167	7	]	]	PUNCT
ejpam-5691	167	8	be	be	AUX
ejpam-5691	167	9	two	two	NUM
ejpam-5691	167	10	bfhfns	bfhfns	NOUN
ejpam-5691	167	11	and	and	CCONJ
ejpam-5691	167	12	λ	λ	X
ejpam-5691	167	13	>	>	X
ejpam-5691	167	14	0	0	PROPN
ejpam-5691	167	15	,	,	PUNCT
ejpam-5691	167	16	then	then	ADV
ejpam-5691	167	17	a1	a1	PROPN
ejpam-5691	167	18	⊕	⊕	PROPN
ejpam-5691	167	19	a2	a2	PROPN
ejpam-5691	167	20	=	=	PRON
ejpam-5691	168	1	[	[	PUNCT
ejpam-5691	168	2	(	(	PUNCT
ejpam-5691	168	3	κ+	κ+	PROPN
ejpam-5691	168	4	1	1	NUM
ejpam-5691	168	5	+	+	NOUN
ejpam-5691	168	6	(	(	PUNCT
ejpam-5691	168	7	κ+	κ+	ADP
ejpam-5691	168	8	2	2	NUM
ejpam-5691	168	9	−κ+	−κ+	NOUN
ejpam-5691	168	10	1	1	NUM
ejpam-5691	168	11	κ+	κ+	PROPN
ejpam-5691	168	12	2	2	NUM
ejpam-5691	168	13	−(1−λ)κ+	−(1−λ)κ+	PROPN
ejpam-5691	168	14	1	1	NUM
ejpam-5691	168	15	κ+	κ+	ADP
ejpam-5691	168	16	2	2	NUM
ejpam-5691	168	17	1−(1−λ)κ+	1−(1−λ)κ+	NUM
ejpam-5691	168	18	1	1	NUM
ejpam-5691	168	19	κ+	κ+	ADP
ejpam-5691	168	20	2	2	NUM
ejpam-5691	168	21	,	,	PUNCT
ejpam-5691	168	22	−ς−1	−ς−1	NUM
ejpam-5691	168	23	ς−2	ς−2	X
ejpam-5691	169	1	λ+(1−λ)(ς−1	λ+(1−λ)(ς−1	X
ejpam-5691	170	1	+	+	PUNCT
ejpam-5691	170	2	ς−2	ς−2	PROPN
ejpam-5691	170	3	−ς−1	−ς−1	NUM
ejpam-5691	170	4	ς−2	ς−2	PROPN
ejpam-5691	170	5	]	]	PUNCT
ejpam-5691	170	6	;	;	PUNCT
ejpam-5691	170	7	a1	a1	PROPN
ejpam-5691	170	8	⊗	⊗	PROPN
ejpam-5691	170	9	a2	a2	PROPN
ejpam-5691	170	10	=	=	PUNCT
ejpam-5691	170	11	[	[	PUNCT
ejpam-5691	170	12	κ+	κ+	PROPN
ejpam-5691	170	13	1	1	NUM
ejpam-5691	170	14	κ+	κ+	ADP
ejpam-5691	170	15	2	2	NUM
ejpam-5691	170	16	λ+(1−λ)(κ+	λ+(1−λ)(κ+	NOUN
ejpam-5691	170	17	1	1	NUM
ejpam-5691	171	1	+	+	NOUN
ejpam-5691	171	2	κ+	κ+	ADP
ejpam-5691	171	3	1	1	NUM
ejpam-5691	171	4	−κ+	−κ+	NOUN
ejpam-5691	171	5	1	1	NUM
ejpam-5691	171	6	κ+	κ+	ADP
ejpam-5691	171	7	1	1	NUM
ejpam-5691	171	8	,	,	PUNCT
ejpam-5691	171	9	−(ς−1	−(ς−1	PROPN
ejpam-5691	171	10	+	+	PROPN
ejpam-5691	171	11	(	(	PUNCT
ejpam-5691	171	12	ς−2	ς−2	PROPN
ejpam-5691	171	13	−ς−1	−ς−1	NUM
ejpam-5691	171	14	ς−2	ς−2	PROPN
ejpam-5691	171	15	−(1−λ)ς−1	−(1−λ)ς−1	PROPN
ejpam-5691	171	16	ς−2	ς−2	PROPN
ejpam-5691	172	1	1−(1−λ)ς−1	1−(1−λ)ς−1	NUM
ejpam-5691	173	1	ς−2	ς−2	PROPN
ejpam-5691	173	2	]	]	PUNCT
ejpam-5691	173	3	;	;	PUNCT
ejpam-5691	173	4	a.	a.	PROPN
ejpam-5691	173	5	fahmi	fahmi	PROPN
ejpam-5691	173	6	et	et	PROPN
ejpam-5691	173	7	al	al	PROPN
ejpam-5691	173	8	.	.	PUNCT
ejpam-5691	173	9	/	/	SYM
ejpam-5691	173	10	eur	eur	PROPN
ejpam-5691	173	11	.	.	PUNCT
ejpam-5691	174	1	j.	j.	PROPN
ejpam-5691	174	2	pure	pure	PROPN
ejpam-5691	174	3	appl	appl	PROPN
ejpam-5691	174	4	.	.	PROPN
ejpam-5691	174	5	math	math	PROPN
ejpam-5691	174	6	,	,	PUNCT
ejpam-5691	174	7	18	18	NUM
ejpam-5691	174	8	(	(	PUNCT
ejpam-5691	174	9	1	1	NUM
ejpam-5691	174	10	)	)	PUNCT
ejpam-5691	174	11	(	(	PUNCT
ejpam-5691	174	12	2025	2025	NUM
ejpam-5691	174	13	)	)	PUNCT
ejpam-5691	174	14	,	,	PUNCT
ejpam-5691	174	15	5691	5691	NUM
ejpam-5691	174	16	8	8	NUM
ejpam-5691	174	17	of	of	ADP
ejpam-5691	174	18	32	32	NUM
ejpam-5691	174	19	λa1	λa1	NOUN
ejpam-5691	174	20	=	=	PUNCT
ejpam-5691	175	1	[	[	PUNCT
ejpam-5691	175	2	(	(	PUNCT
ejpam-5691	175	3	1+(λ−1)(κ+	1+(λ−1)(κ+	NOUN
ejpam-5691	175	4	1	1	NUM
ejpam-5691	175	5	)	)	PUNCT
ejpam-5691	175	6	λ−(1−(κ+	λ−(1−(κ+	NOUN
ejpam-5691	175	7	1	1	NUM
ejpam-5691	175	8	)	)	PUNCT
ejpam-5691	175	9	λ	λ	PROPN
ejpam-5691	175	10	(	(	PUNCT
ejpam-5691	175	11	1+(λ−1)(1−κ+	1+(λ−1)(1−κ+	NUM
ejpam-5691	175	12	1	1	NUM
ejpam-5691	175	13	)	)	PUNCT
ejpam-5691	175	14	λ+(λ−1)(κ+	λ+(λ−1)(κ+	NOUN
ejpam-5691	175	15	1	1	X
ejpam-5691	175	16	)	)	PUNCT
ejpam-5691	175	17	λ	λ	PROPN
ejpam-5691	175	18	,	,	PUNCT
ejpam-5691	175	19	−λ(ς−1	−λ(ς−1	NUM
ejpam-5691	175	20	)	)	PUNCT
ejpam-5691	175	21	λ	λ	INTJ
ejpam-5691	175	22	(	(	PUNCT
ejpam-5691	175	23	1+(λ−1)(ς−1	1+(λ−1)(ς−1	NUM
ejpam-5691	175	24	)	)	PUNCT
ejpam-5691	175	25	λ+(λ−1)(1−ς−1	λ+(λ−1)(1−ς−1	PROPN
ejpam-5691	175	26	)	)	PUNCT
ejpam-5691	175	27	λ	λ	PROPN
ejpam-5691	175	28	]	]	PUNCT
ejpam-5691	175	29	;	;	PUNCT
ejpam-5691	175	30	aλ1	aλ1	X
ejpam-5691	175	31	=	=	PUNCT
ejpam-5691	176	1	[	[	PUNCT
ejpam-5691	176	2	λ(κ+	λ(κ+	NOUN
ejpam-5691	176	3	1	1	NUM
ejpam-5691	176	4	)	)	PUNCT
ejpam-5691	176	5	λ	λ	PROPN
ejpam-5691	176	6	(	(	PUNCT
ejpam-5691	176	7	1+(λ−1)(κ+	1+(λ−1)(κ+	NOUN
ejpam-5691	176	8	1	1	NUM
ejpam-5691	176	9	)	)	PUNCT
ejpam-5691	176	10	λ+(λ−1)(1−κ+	λ+(λ−1)(1−κ+	NOUN
ejpam-5691	176	11	1	1	X
ejpam-5691	176	12	)	)	PUNCT
ejpam-5691	176	13	λ	λ	PROPN
ejpam-5691	176	14	,	,	PUNCT
ejpam-5691	176	15	(	(	PUNCT
ejpam-5691	176	16	1+(λ−1)(ς−1	1+(λ−1)(ς−1	NUM
ejpam-5691	176	17	)	)	PUNCT
ejpam-5691	176	18	λ−(1−(ς−1	λ−(1−(ς−1	NOUN
ejpam-5691	176	19	)	)	PUNCT
ejpam-5691	176	20	λ	λ	PROPN
ejpam-5691	176	21	(	(	PUNCT
ejpam-5691	176	22	1+(λ−1)(ς−1	1+(λ−1)(ς−1	NUM
ejpam-5691	176	23	)	)	PUNCT
ejpam-5691	176	24	λ+(λ−1)(1−ς−1	λ+(λ−1)(1−ς−1	PROPN
ejpam-5691	176	25	)	)	PUNCT
ejpam-5691	176	26	λ	λ	NOUN
ejpam-5691	176	27	]	]	PUNCT
ejpam-5691	176	28	.	.	PUNCT
ejpam-5691	177	1	definition	definition	NOUN
ejpam-5691	177	2	8	8	NUM
ejpam-5691	177	3	.	.	PUNCT
ejpam-5691	178	1	[	[	X
ejpam-5691	178	2	39	39	NUM
ejpam-5691	178	3	]	]	PUNCT
ejpam-5691	178	4	the	the	DET
ejpam-5691	178	5	bfns	bfns	NOUN
ejpam-5691	178	6	are	be	AUX
ejpam-5691	178	7	a	a	DET
ejpam-5691	178	8	=	=	PUNCT
ejpam-5691	178	9	[	[	X
ejpam-5691	178	10	κ+	κ+	PROPN
ejpam-5691	178	11	,	,	PUNCT
ejpam-5691	178	12	ς−	ς−	PROPN
ejpam-5691	178	13	]	]	PUNCT
ejpam-5691	178	14	,	,	PUNCT
ejpam-5691	178	15	then	then	ADV
ejpam-5691	178	16	the	the	DET
ejpam-5691	178	17	score	score	NOUN
ejpam-5691	178	18	function	function	NOUN
ejpam-5691	178	19	h̆	h̆	ADJ
ejpam-5691	178	20	is	be	AUX
ejpam-5691	178	21	define	define	VERB
ejpam-5691	178	22	as	as	ADP
ejpam-5691	178	23	:	:	PUNCT
ejpam-5691	178	24	h̆	h̆	ADJ
ejpam-5691	178	25	=	=	SYM
ejpam-5691	178	26	1+κ+−ς−	1+κ+−ς−	NUM
ejpam-5691	178	27	2	2	NUM
ejpam-5691	178	28	.	.	PUNCT
ejpam-5691	179	1	definition	definition	NOUN
ejpam-5691	179	2	9	9	NUM
ejpam-5691	179	3	.	.	PUNCT
ejpam-5691	180	1	[	[	X
ejpam-5691	180	2	39	39	NUM
ejpam-5691	180	3	]	]	PUNCT
ejpam-5691	180	4	the	the	DET
ejpam-5691	180	5	bfns	bfns	NOUN
ejpam-5691	180	6	are	be	AUX
ejpam-5691	180	7	a	a	DET
ejpam-5691	180	8	=	=	PUNCT
ejpam-5691	180	9	[	[	X
ejpam-5691	180	10	κ+	κ+	PROPN
ejpam-5691	180	11	,	,	PUNCT
ejpam-5691	180	12	ς−	ς−	PROPN
ejpam-5691	180	13	]	]	PUNCT
ejpam-5691	180	14	,	,	PUNCT
ejpam-5691	180	15	then	then	ADV
ejpam-5691	180	16	the	the	DET
ejpam-5691	180	17	accuracy	accuracy	NOUN
ejpam-5691	180	18	function	function	NOUN
ejpam-5691	180	19	h̆	h̆	ADJ
ejpam-5691	180	20	is	be	AUX
ejpam-5691	180	21	define	define	VERB
ejpam-5691	180	22	as	as	ADP
ejpam-5691	180	23	:	:	PUNCT
ejpam-5691	180	24	h̆	h̆	ADJ
ejpam-5691	180	25	=	=	SYM
ejpam-5691	180	26	1+κ++ς−	1+κ++ς−	NUM
ejpam-5691	180	27	2	2	NUM
ejpam-5691	180	28	.	.	PUNCT
ejpam-5691	181	1	3	3	X
ejpam-5691	181	2	.	.	X
ejpam-5691	181	3	bipolar	bipolar	ADJ
ejpam-5691	181	4	fermatean	fermatean	ADJ
ejpam-5691	181	5	fuzzy	fuzzy	ADJ
ejpam-5691	181	6	number	number	NOUN
ejpam-5691	181	7	and	and	CCONJ
ejpam-5691	181	8	operational	operational	ADJ
ejpam-5691	181	9	laws	law	NOUN
ejpam-5691	181	10	on	on	ADP
ejpam-5691	181	11	hamacher	hamacher	NOUN
ejpam-5691	181	12	in	in	ADP
ejpam-5691	181	13	this	this	DET
ejpam-5691	181	14	section	section	NOUN
ejpam-5691	181	15	,	,	PUNCT
ejpam-5691	181	16	we	we	PRON
ejpam-5691	181	17	define	define	VERB
ejpam-5691	181	18	the	the	DET
ejpam-5691	181	19	definition	definition	NOUN
ejpam-5691	181	20	and	and	CCONJ
ejpam-5691	181	21	operational	operational	ADJ
ejpam-5691	181	22	laws	law	NOUN
ejpam-5691	181	23	of	of	ADP
ejpam-5691	181	24	bffns	bffns	NOUN
ejpam-5691	181	25	.	.	PUNCT
ejpam-5691	182	1	definition	definition	NOUN
ejpam-5691	182	2	10	10	NUM
ejpam-5691	182	3	.	.	PUNCT
ejpam-5691	183	1	the	the	DET
ejpam-5691	183	2	fixed	fix	VERB
ejpam-5691	183	3	set	set	NOUN
ejpam-5691	183	4	c	c	PROPN
ejpam-5691	183	5	and	and	CCONJ
ejpam-5691	183	6	the	the	DET
ejpam-5691	183	7	bffn	bffn	NOUN
ejpam-5691	183	8	a	a	NOUN
ejpam-5691	183	9	is	be	AUX
ejpam-5691	183	10	defined	define	VERB
ejpam-5691	183	11	in	in	ADP
ejpam-5691	183	12	a	a	DET
ejpam-5691	183	13	=	=	PUNCT
ejpam-5691	183	14			PROPN
ejpam-5691	183	15	⟨e+	⟨e+	PROPN
ejpam-5691	183	16	a	a	X
ejpam-5691	183	17	(	(	PUNCT
ejpam-5691	183	18	x	x	NOUN
ejpam-5691	183	19	)	)	PUNCT
ejpam-5691	183	20	,	,	PUNCT
ejpam-5691	183	21	χ	χ	X
ejpam-5691	183	22	+	+	CCONJ
ejpam-5691	183	23	a(x)⟩	a(x)⟩	PROPN
ejpam-5691	183	24	,	,	PUNCT
ejpam-5691	183	25	⟨ς−a	⟨ς−a	PROPN
ejpam-5691	183	26	(	(	PUNCT
ejpam-5691	183	27	x	x	NOUN
ejpam-5691	183	28	)	)	PUNCT
ejpam-5691	183	29	,	,	PUNCT
ejpam-5691	183	30	χ−	χ−	NOUN
ejpam-5691	183	31	a(x)⟩	a(x)⟩	VERB
ejpam-5691	183	32	:	:	PUNCT
ejpam-5691	183	33	x	x	PUNCT
ejpam-5691	184	1	∈	∈	NOUN
ejpam-5691	184	2	c	c	X
ejpam-5691	185	1			NOUN
ejpam-5691	185	2	,	,	PUNCT
ejpam-5691	185	3	where	where	SCONJ
ejpam-5691	185	4	e+	e+	VERB
ejpam-5691	185	5	a	a	DET
ejpam-5691	185	6	(	(	PUNCT
ejpam-5691	185	7	x	x	NOUN
ejpam-5691	185	8	)	)	PUNCT
ejpam-5691	185	9	,	,	PUNCT
ejpam-5691	185	10	χ	χ	X
ejpam-5691	185	11	+	+	X
ejpam-5691	185	12	a(x	a(x	NOUN
ejpam-5691	185	13	)	)	PUNCT
ejpam-5691	185	14	and	and	CCONJ
ejpam-5691	185	15	ς−a	ς−a	PROPN
ejpam-5691	185	16	(	(	PUNCT
ejpam-5691	185	17	x	x	X
ejpam-5691	185	18	)	)	PUNCT
ejpam-5691	185	19	,	,	PUNCT
ejpam-5691	185	20	χ−	χ−	NOUN
ejpam-5691	185	21	a(x)represent	a(x)represent	NOUN
ejpam-5691	185	22	the	the	DET
ejpam-5691	185	23	med	med	ADJ
ejpam-5691	185	24	and	and	CCONJ
ejpam-5691	185	25	nomed	nome	VERB
ejpam-5691	185	26	,	,	PUNCT
ejpam-5691	185	27	and	and	CCONJ
ejpam-5691	185	28	e+	e+	VERB
ejpam-5691	185	29	a	a	DET
ejpam-5691	185	30	(	(	PUNCT
ejpam-5691	185	31	x	x	NOUN
ejpam-5691	185	32	)	)	PUNCT
ejpam-5691	185	33	∈	∈	PROPN
ejpam-5691	186	1	[	[	X
ejpam-5691	186	2	0	0	NUM
ejpam-5691	186	3	,	,	PUNCT
ejpam-5691	186	4	1	1	NUM
ejpam-5691	186	5	]	]	PUNCT
ejpam-5691	186	6	,	,	PUNCT
ejpam-5691	186	7	χ+	χ+	X
ejpam-5691	186	8	a(x	a(x	PROPN
ejpam-5691	186	9	)	)	PUNCT
ejpam-5691	186	10	∈	∈	NOUN
ejpam-5691	187	1	[	[	X
ejpam-5691	187	2	0	0	NUM
ejpam-5691	187	3	,	,	PUNCT
ejpam-5691	187	4	1	1	NUM
ejpam-5691	187	5	]	]	PUNCT
ejpam-5691	187	6	,	,	PUNCT
ejpam-5691	187	7	ς−a	ς−a	PROPN
ejpam-5691	187	8	(	(	PUNCT
ejpam-5691	187	9	x	x	X
ejpam-5691	187	10	)	)	PUNCT
ejpam-5691	187	11	∈	∈	PROPN
ejpam-5691	188	1	[	[	X
ejpam-5691	188	2	0	0	NUM
ejpam-5691	188	3	,	,	PUNCT
ejpam-5691	188	4	1	1	NUM
ejpam-5691	188	5	]	]	PUNCT
ejpam-5691	188	6	,	,	PUNCT
ejpam-5691	188	7	χ−	χ−	PROPN
ejpam-5691	188	8	a(x	a(x	NOUN
ejpam-5691	188	9	)	)	PUNCT
ejpam-5691	188	10	∈	∈	NOUN
ejpam-5691	189	1	[	[	X
ejpam-5691	189	2	0	0	NUM
ejpam-5691	189	3	,	,	PUNCT
ejpam-5691	189	4	1	1	NUM
ejpam-5691	189	5	]	]	PUNCT
ejpam-5691	189	6	and	and	CCONJ
ejpam-5691	189	7	0	0	NUM
ejpam-5691	189	8	≤	≤	NUM
ejpam-5691	189	9	e+	e+	VERB
ejpam-5691	189	10	a	a	DET
ejpam-5691	189	11	(	(	PUNCT
ejpam-5691	189	12	x	x	NOUN
ejpam-5691	189	13	)	)	PUNCT
ejpam-5691	189	14	3χ+	3χ+	NUM
ejpam-5691	189	15	a(x	a(x	PROPN
ejpam-5691	189	16	)	)	PUNCT
ejpam-5691	189	17	3	3	NUM
ejpam-5691	189	18	+	+	NUM
ejpam-5691	189	19	ς−a	ς−a	PROPN
ejpam-5691	189	20	(	(	PUNCT
ejpam-5691	189	21	x)3χ−	x)3χ−	PROPN
ejpam-5691	189	22	a(x	a(x	PROPN
ejpam-5691	189	23	)	)	PUNCT
ejpam-5691	189	24	3	3	NUM
ejpam-5691	189	25	≤	≤	NOUN
ejpam-5691	189	26	1.the	1.the	DET
ejpam-5691	189	27	degree	degree	NOUN
ejpam-5691	189	28	of	of	ADP
ejpam-5691	189	29	indeterminacy	indeterminacy	NOUN
ejpam-5691	189	30	is	be	AUX
ejpam-5691	189	31	defined	define	VERB
ejpam-5691	189	32	as	as	ADP
ejpam-5691	189	33	πa(x	πa(x	NOUN
ejpam-5691	189	34	)	)	PUNCT
ejpam-5691	189	35	=	=	SYM
ejpam-5691	189	36	3	3	NUM
ejpam-5691	189	37	√	√	NUM
ejpam-5691	189	38	(	(	PUNCT
ejpam-5691	189	39	e+	e+	NUM
ejpam-5691	189	40	a	a	DET
ejpam-5691	189	41	(	(	PUNCT
ejpam-5691	189	42	x	x	NOUN
ejpam-5691	189	43	)	)	PUNCT
ejpam-5691	189	44	3χ+	3χ+	NUM
ejpam-5691	189	45	a(x	a(x	PROPN
ejpam-5691	189	46	)	)	PUNCT
ejpam-5691	189	47	3	3	NUM
ejpam-5691	189	48	+	+	CCONJ
ejpam-5691	189	49	ς−a	ς−a	PROPN
ejpam-5691	189	50	(	(	PUNCT
ejpam-5691	189	51	x)3χ−	x)3χ−	PROPN
ejpam-5691	189	52	a(x	a(x	PROPN
ejpam-5691	189	53	)	)	PUNCT
ejpam-5691	189	54	3−	3−	NUM
ejpam-5691	189	55	(	(	PUNCT
ejpam-5691	189	56	e+	e+	NUM
ejpam-5691	189	57	a	a	DET
ejpam-5691	189	58	(	(	PUNCT
ejpam-5691	189	59	x	x	NOUN
ejpam-5691	189	60	)	)	PUNCT
ejpam-5691	189	61	3χ+	3χ+	NUM
ejpam-5691	189	62	a(x	a(x	PROPN
ejpam-5691	189	63	)	)	PUNCT
ejpam-5691	189	64	3)(ς−a	3)(ς−a	NOUN
ejpam-5691	189	65	(	(	PUNCT
ejpam-5691	189	66	x)3χ−	x)3χ−	PROPN
ejpam-5691	189	67	a(x	a(x	PROPN
ejpam-5691	189	68	)	)	PUNCT
ejpam-5691	189	69	3	3	NUM
ejpam-5691	189	70	)	)	PUNCT
ejpam-5691	189	71	)	)	PUNCT
ejpam-5691	189	72	.	.	PUNCT
ejpam-5691	190	1	the	the	DET
ejpam-5691	190	2	bffn	bffn	NOUN
ejpam-5691	190	3	is	be	AUX
ejpam-5691	190	4	denoted	denote	VERB
ejpam-5691	190	5	as	as	ADP
ejpam-5691	190	6	a	a	DET
ejpam-5691	190	7	=	=	PUNCT
ejpam-5691	190	8	{	{	PUNCT
ejpam-5691	190	9	⟨e+	⟨e+	NOUN
ejpam-5691	190	10	a	a	X
ejpam-5691	190	11	(	(	PUNCT
ejpam-5691	190	12	x	x	NOUN
ejpam-5691	190	13	)	)	PUNCT
ejpam-5691	190	14	,	,	PUNCT
ejpam-5691	190	15	χ	χ	X
ejpam-5691	190	16	+	+	NUM
ejpam-5691	190	17	a(x)⟩	a(x)⟩	PROPN
ejpam-5691	190	18	,	,	PUNCT
ejpam-5691	190	19	⟨ς	⟨ς	DET
ejpam-5691	190	20	−	−	NOUN
ejpam-5691	190	21	a	a	DET
ejpam-5691	190	22	(	(	PUNCT
ejpam-5691	190	23	x	x	NOUN
ejpam-5691	190	24	)	)	PUNCT
ejpam-5691	190	25	,	,	PUNCT
ejpam-5691	190	26	χ−	χ−	NOUN
ejpam-5691	190	27	a(x)⟩	a(x)⟩	VERB
ejpam-5691	190	28	:	:	PUNCT
ejpam-5691	190	29	x	x	PUNCT
ejpam-5691	190	30	∈	∈	PROPN
ejpam-5691	190	31	c	c	NOUN
ejpam-5691	190	32	}	}	PUNCT
ejpam-5691	190	33	.	.	PUNCT
ejpam-5691	191	1	definition	definition	NOUN
ejpam-5691	191	2	11	11	NUM
ejpam-5691	191	3	.	.	PUNCT
ejpam-5691	192	1	let	let	VERB
ejpam-5691	192	2	a1	a1	NOUN
ejpam-5691	192	3	=	=	PUNCT
ejpam-5691	192	4	{	{	PUNCT
ejpam-5691	193	1	[	[	X
ejpam-5691	193	2	κ+1	κ+1	X
ejpam-5691	193	3	,	,	PUNCT
ejpam-5691	193	4	ς	ς	PROPN
ejpam-5691	194	1	+	+	PROPN
ejpam-5691	194	2	1	1	NUM
ejpam-5691	194	3	]	]	PUNCT
ejpam-5691	194	4	,	,	PUNCT
ejpam-5691	194	5	[	[	X
ejpam-5691	194	6	υ−	υ−	PROPN
ejpam-5691	194	7	1	1	NUM
ejpam-5691	194	8	,	,	PUNCT
ejpam-5691	194	9	ϑ	ϑ	NOUN
ejpam-5691	194	10	−	−	PROPN
ejpam-5691	194	11	1	1	NUM
ejpam-5691	194	12	]	]	PUNCT
ejpam-5691	194	13	}	}	PUNCT
ejpam-5691	194	14	and	and	CCONJ
ejpam-5691	194	15	a2	a2	PROPN
ejpam-5691	194	16	=	=	PUNCT
ejpam-5691	195	1	{	{	PUNCT
ejpam-5691	196	1	[	[	X
ejpam-5691	196	2	κ+2	κ+2	X
ejpam-5691	196	3	,	,	PUNCT
ejpam-5691	196	4	ς	ς	PROPN
ejpam-5691	196	5	+	+	PROPN
ejpam-5691	196	6	2	2	NUM
ejpam-5691	196	7	]	]	PUNCT
ejpam-5691	196	8	,	,	PUNCT
ejpam-5691	196	9	[	[	X
ejpam-5691	196	10	υ−	υ−	PROPN
ejpam-5691	196	11	2	2	NUM
ejpam-5691	196	12	,	,	PUNCT
ejpam-5691	196	13	ϑ	ϑ	NOUN
ejpam-5691	196	14	−	−	PROPN
ejpam-5691	196	15	2	2	NUM
ejpam-5691	196	16	]	]	PUNCT
ejpam-5691	196	17	}	}	PUNCT
ejpam-5691	196	18	be	be	AUX
ejpam-5691	196	19	two	two	NUM
ejpam-5691	196	20	bfhfns	bfhfns	NOUN
ejpam-5691	196	21	and	and	CCONJ
ejpam-5691	196	22	λ	λ	X
ejpam-5691	196	23	>	>	X
ejpam-5691	196	24	0	0	PROPN
ejpam-5691	196	25	,	,	PUNCT
ejpam-5691	196	26	then	then	ADV
ejpam-5691	196	27	a1	a1	PROPN
ejpam-5691	196	28	⊕	⊕	PROPN
ejpam-5691	196	29	a2	a2	PROPN
ejpam-5691	196	30	=	=	SYM
ejpam-5691	196	31			NOUN
ejpam-5691	196	32			NOUN
ejpam-5691	196	33	3	3	NUM
ejpam-5691	196	34	√	√	NUM
ejpam-5691	196	35	(	(	PUNCT
ejpam-5691	196	36	κ+	κ+	PROPN
ejpam-5691	196	37	1	1	NUM
ejpam-5691	196	38	)	)	PUNCT
ejpam-5691	196	39	3+(κ+	3+(κ+	NOUN
ejpam-5691	196	40	2	2	NUM
ejpam-5691	196	41	)	)	PUNCT
ejpam-5691	196	42	3−(κ+	3−(κ+	NUM
ejpam-5691	196	43	1	1	NUM
ejpam-5691	196	44	)	)	PUNCT
ejpam-5691	196	45	3(κ+	3(κ+	NOUN
ejpam-5691	196	46	2	2	NUM
ejpam-5691	196	47	)	)	PUNCT
ejpam-5691	196	48	3−(1−λ)(κ+	3−(1−λ)(κ+	NOUN
ejpam-5691	196	49	1	1	NUM
ejpam-5691	196	50	)	)	PUNCT
ejpam-5691	196	51	3(κ+	3(κ+	NOUN
ejpam-5691	196	52	2	2	NUM
ejpam-5691	196	53	)	)	PUNCT
ejpam-5691	197	1	3	3	NUM
ejpam-5691	197	2	1−(1−λ)(κ+	1−(1−λ)(κ+	NUM
ejpam-5691	197	3	1	1	NUM
ejpam-5691	197	4	)	)	PUNCT
ejpam-5691	197	5	3(κ+	3(κ+	NOUN
ejpam-5691	197	6	2	2	NUM
ejpam-5691	197	7	)	)	PUNCT
ejpam-5691	197	8	3	3	NUM
ejpam-5691	197	9	,	,	PUNCT
ejpam-5691	197	10	3	3	NUM
ejpam-5691	197	11	√	√	NUM
ejpam-5691	197	12	(	(	PUNCT
ejpam-5691	197	13	ς+1	ς+1	NUM
ejpam-5691	197	14	)	)	PUNCT
ejpam-5691	197	15	3+(ς+2	3+(ς+2	NUM
ejpam-5691	197	16	)	)	PUNCT
ejpam-5691	197	17	3−(ς+1	3−(ς+1	NUM
ejpam-5691	197	18	)	)	PUNCT
ejpam-5691	197	19	3(ς+2	3(ς+2	NUM
ejpam-5691	197	20	)	)	PUNCT
ejpam-5691	197	21	3−(1−λ)(ς+1	3−(1−λ)(ς+1	PROPN
ejpam-5691	197	22	)	)	PUNCT
ejpam-5691	197	23	3(ς+2	3(ς+2	NUM
ejpam-5691	197	24	)	)	PUNCT
ejpam-5691	197	25	3	3	NUM
ejpam-5691	197	26	1−(1−λ)(ς+1	1−(1−λ)(ς+1	NOUN
ejpam-5691	197	27	)	)	PUNCT
ejpam-5691	197	28	3(ς+2	3(ς+2	NUM
ejpam-5691	197	29	)	)	PUNCT
ejpam-5691	197	30	3	3	NUM
ejpam-5691	197	31			NOUN
ejpam-5691	197	32	,	,	PUNCT
ejpam-5691	197	33			VERB
ejpam-5691	197	34	υ−	υ−	PROPN
ejpam-5691	197	35	1	1	NUM
ejpam-5691	197	36	υ−	υ−	PROPN
ejpam-5691	197	37	2	2	NUM
ejpam-5691	197	38	3	3	NUM
ejpam-5691	197	39	√	√	PROPN
ejpam-5691	197	40	λ+(1−λ)(υ−	λ+(1−λ)(υ−	NOUN
ejpam-5691	197	41	1	1	NUM
ejpam-5691	197	42	)	)	PUNCT
ejpam-5691	197	43	3+(υ−	3+(υ−	NUM
ejpam-5691	197	44	2	2	NUM
ejpam-5691	197	45	)	)	PUNCT
ejpam-5691	197	46	3−(υ−	3−(υ−	NUM
ejpam-5691	197	47	1	1	NUM
ejpam-5691	197	48	)	)	PUNCT
ejpam-5691	197	49	3(υ−	3(υ−	NUM
ejpam-5691	197	50	2	2	NUM
ejpam-5691	197	51	)	)	PUNCT
ejpam-5691	197	52	3	3	NUM
ejpam-5691	197	53	,	,	PUNCT
ejpam-5691	197	54	ϑ−	ϑ−	PROPN
ejpam-5691	197	55	1	1	NUM
ejpam-5691	197	56	ϑ−	ϑ−	PROPN
ejpam-5691	197	57	2	2	NUM
ejpam-5691	197	58	3	3	NUM
ejpam-5691	197	59	√	√	NUM
ejpam-5691	197	60	λ+(1−λ)(ϑ−	λ+(1−λ)(ϑ−	NUM
ejpam-5691	197	61	1	1	NUM
ejpam-5691	197	62	)	)	PUNCT
ejpam-5691	197	63	3+(ϑ−	3+(ϑ−	NUM
ejpam-5691	197	64	2	2	NUM
ejpam-5691	197	65	)	)	PUNCT
ejpam-5691	197	66	3−(ϑ−	3−(ϑ−	NUM
ejpam-5691	197	67	1	1	NUM
ejpam-5691	197	68	)	)	PUNCT
ejpam-5691	197	69	3(ϑ−	3(ϑ−	NUM
ejpam-5691	197	70	2	2	NUM
ejpam-5691	197	71	)	)	PUNCT
ejpam-5691	197	72	3	3	NUM
ejpam-5691	197	73			PROPN
ejpam-5691	197	74			NOUN
ejpam-5691	197	75	;	;	PUNCT
ejpam-5691	197	76	a1	a1	PROPN
ejpam-5691	197	77	⊗	⊗	PROPN
ejpam-5691	197	78	a2	a2	PROPN
ejpam-5691	197	79	=	=	PUNCT
ejpam-5691	197	80			VERB
ejpam-5691	197	81			X
ejpam-5691	197	82	κ+	κ+	ADP
ejpam-5691	197	83	1	1	NUM
ejpam-5691	197	84	κ+	κ+	ADP
ejpam-5691	197	85	2	2	NUM
ejpam-5691	197	86	3	3	NUM
ejpam-5691	197	87	√	√	NOUN
ejpam-5691	198	1	λ+(1−λ)(κ+	λ+(1−λ)(κ+	NOUN
ejpam-5691	198	2	1	1	NUM
ejpam-5691	198	3	)	)	PUNCT
ejpam-5691	198	4	3+(κ+	3+(κ+	NOUN
ejpam-5691	198	5	2	2	NUM
ejpam-5691	198	6	)	)	PUNCT
ejpam-5691	198	7	3−(κ+	3−(κ+	NUM
ejpam-5691	198	8	1	1	NUM
ejpam-5691	198	9	)	)	PUNCT
ejpam-5691	198	10	3(κ+	3(κ+	NOUN
ejpam-5691	198	11	2	2	NUM
ejpam-5691	198	12	)	)	PUNCT
ejpam-5691	198	13	3	3	NUM
ejpam-5691	198	14	,	,	PUNCT
ejpam-5691	198	15	ς+1	ς+1	NUM
ejpam-5691	199	1	ς+2	ς+2	NUM
ejpam-5691	199	2	3	3	NUM
ejpam-5691	199	3	√	√	NUM
ejpam-5691	199	4	λ+(1−λ)(ς+1	λ+(1−λ)(ς+1	NOUN
ejpam-5691	199	5	)	)	PUNCT
ejpam-5691	199	6	3+(ς+2	3+(ς+2	NUM
ejpam-5691	199	7	)	)	PUNCT
ejpam-5691	199	8	3−(ς+1	3−(ς+1	NUM
ejpam-5691	199	9	)	)	PUNCT
ejpam-5691	199	10	3(ς+2	3(ς+2	NUM
ejpam-5691	199	11	)	)	PUNCT
ejpam-5691	199	12	3	3	NUM
ejpam-5691	199	13			PROPN
ejpam-5691	199	14	3	3	NUM
ejpam-5691	199	15	√	√	PROPN
ejpam-5691	199	16	(	(	PUNCT
ejpam-5691	199	17	υ−	υ−	PROPN
ejpam-5691	199	18	1	1	NUM
ejpam-5691	199	19	)	)	PUNCT
ejpam-5691	199	20	3+(υ−	3+(υ−	NUM
ejpam-5691	199	21	2	2	NUM
ejpam-5691	199	22	)	)	PUNCT
ejpam-5691	199	23	3−(υ−	3−(υ−	NUM
ejpam-5691	199	24	1	1	NUM
ejpam-5691	199	25	)	)	PUNCT
ejpam-5691	199	26	3(υ−	3(υ−	NUM
ejpam-5691	199	27	2	2	NUM
ejpam-5691	199	28	)	)	PUNCT
ejpam-5691	199	29	3−(1−λ)(υ−	3−(1−λ)(υ−	NUM
ejpam-5691	199	30	1	1	NUM
ejpam-5691	199	31	)	)	PUNCT
ejpam-5691	199	32	3(υ−	3(υ−	NUM
ejpam-5691	199	33	2	2	NUM
ejpam-5691	199	34	)	)	PUNCT
ejpam-5691	199	35	3	3	NUM
ejpam-5691	199	36	1−(1−λ)(υ−	1−(1−λ)(υ−	NUM
ejpam-5691	199	37	1	1	NUM
ejpam-5691	199	38	)	)	PUNCT
ejpam-5691	199	39	3(υ−	3(υ−	NUM
ejpam-5691	199	40	2	2	NUM
ejpam-5691	199	41	)	)	SYM
ejpam-5691	199	42	3	3	NUM
ejpam-5691	199	43	,	,	PUNCT
ejpam-5691	199	44	3	3	NUM
ejpam-5691	199	45	√	√	NUM
ejpam-5691	199	46	(	(	PUNCT
ejpam-5691	199	47	ϑ−	ϑ−	PROPN
ejpam-5691	199	48	1	1	NUM
ejpam-5691	199	49	)	)	PUNCT
ejpam-5691	199	50	3+(ϑ−	3+(ϑ−	NUM
ejpam-5691	199	51	2	2	NUM
ejpam-5691	199	52	)	)	PUNCT
ejpam-5691	199	53	3−(ϑ−	3−(ϑ−	NUM
ejpam-5691	199	54	1	1	NUM
ejpam-5691	199	55	)	)	PUNCT
ejpam-5691	199	56	3(ϑ−	3(ϑ−	NUM
ejpam-5691	199	57	2	2	NUM
ejpam-5691	199	58	)	)	PUNCT
ejpam-5691	199	59	3−(1−λ)(ϑ−	3−(1−λ)(ϑ−	NUM
ejpam-5691	199	60	1	1	NUM
ejpam-5691	199	61	)	)	PUNCT
ejpam-5691	199	62	3(ϑ−	3(ϑ−	NUM
ejpam-5691	199	63	2	2	NUM
ejpam-5691	199	64	)	)	PUNCT
ejpam-5691	199	65	3	3	NUM
ejpam-5691	199	66	1−(1−λ)(ϑ−	1−(1−λ)(ϑ−	NUM
ejpam-5691	199	67	1	1	NUM
ejpam-5691	199	68	)	)	PUNCT
ejpam-5691	199	69	3(ϑ−	3(ϑ−	NUM
ejpam-5691	199	70	2	2	NUM
ejpam-5691	199	71	)	)	SYM
ejpam-5691	199	72	3	3	NUM
ejpam-5691	199	73			NOUN
ejpam-5691	199	74	,	,	PUNCT
ejpam-5691	199	75			ADP
ejpam-5691	199	76	;	;	PUNCT
ejpam-5691	199	77	a.	a.	PROPN
ejpam-5691	199	78	fahmi	fahmi	PROPN
ejpam-5691	199	79	et	et	PROPN
ejpam-5691	199	80	al	al	PROPN
ejpam-5691	199	81	.	.	PUNCT
ejpam-5691	199	82	/	/	SYM
ejpam-5691	199	83	eur	eur	PROPN
ejpam-5691	199	84	.	.	PUNCT
ejpam-5691	200	1	j.	j.	PROPN
ejpam-5691	200	2	pure	pure	PROPN
ejpam-5691	200	3	appl	appl	PROPN
ejpam-5691	200	4	.	.	PROPN
ejpam-5691	200	5	math	math	PROPN
ejpam-5691	200	6	,	,	PUNCT
ejpam-5691	200	7	18	18	NUM
ejpam-5691	200	8	(	(	PUNCT
ejpam-5691	200	9	1	1	NUM
ejpam-5691	200	10	)	)	PUNCT
ejpam-5691	200	11	(	(	PUNCT
ejpam-5691	200	12	2025	2025	NUM
ejpam-5691	200	13	)	)	PUNCT
ejpam-5691	200	14	,	,	PUNCT
ejpam-5691	200	15	5691	5691	NUM
ejpam-5691	200	16	9	9	NUM
ejpam-5691	200	17	of	of	ADP
ejpam-5691	200	18	32	32	NUM
ejpam-5691	200	19	λa1	λa1	NOUN
ejpam-5691	200	20	=	=	PUNCT
ejpam-5691	200	21			NOUN
ejpam-5691	200	22			NOUN
ejpam-5691	200	23	3	3	NUM
ejpam-5691	200	24	√	√	PROPN
ejpam-5691	200	25	(	(	PUNCT
ejpam-5691	200	26	1+(λ−1)(κ+	1+(λ−1)(κ+	NOUN
ejpam-5691	200	27	1	1	NUM
ejpam-5691	200	28	)	)	PUNCT
ejpam-5691	200	29	3)λ−(1−(κ+	3)λ−(1−(κ+	NOUN
ejpam-5691	200	30	1	1	NUM
ejpam-5691	200	31	)	)	PUNCT
ejpam-5691	200	32	3)λ	3)λ	PROPN
ejpam-5691	200	33	(	(	PUNCT
ejpam-5691	200	34	1+(λ−1)(1−κ+	1+(λ−1)(1−κ+	NUM
ejpam-5691	200	35	1	1	NUM
ejpam-5691	200	36	)	)	PUNCT
ejpam-5691	200	37	3)λ+(λ−1)((κ+	3)λ+(λ−1)((κ+	NOUN
ejpam-5691	200	38	1	1	NUM
ejpam-5691	200	39	)	)	PUNCT
ejpam-5691	200	40	3)λ	3)λ	NUM
ejpam-5691	200	41	,	,	PUNCT
ejpam-5691	200	42	3	3	NUM
ejpam-5691	200	43	√	√	NUM
ejpam-5691	200	44	(	(	PUNCT
ejpam-5691	200	45	1+(λ−1)(ς+1	1+(λ−1)(ς+1	NUM
ejpam-5691	200	46	)	)	SYM
ejpam-5691	200	47	3)λ−(1−(ς+1	3)λ−(1−(ς+1	NUM
ejpam-5691	200	48	)	)	PUNCT
ejpam-5691	200	49	3)λ	3)λ	PROPN
ejpam-5691	200	50	(	(	PUNCT
ejpam-5691	200	51	1+(λ−1)(ς+1	1+(λ−1)(ς+1	NUM
ejpam-5691	200	52	)	)	PUNCT
ejpam-5691	200	53	3)λ+(λ−1)(1−(ς+1	3)λ+(λ−1)(1−(ς+1	NUM
ejpam-5691	200	54	)	)	PUNCT
ejpam-5691	200	55	3)λ	3)λ	NUM
ejpam-5691	200	56			NOUN
ejpam-5691	200	57	,	,	PUNCT
ejpam-5691	200	58			NUM
ejpam-5691	200	59	3√	3√	NOUN
ejpam-5691	200	60	λ(υ−	λ(υ−	NOUN
ejpam-5691	200	61	1	1	NUM
ejpam-5691	200	62	)	)	PUNCT
ejpam-5691	200	63	λ	λ	NOUN
ejpam-5691	200	64	3	3	NUM
ejpam-5691	200	65	√	√	PROPN
ejpam-5691	200	66	(	(	PUNCT
ejpam-5691	200	67	1+(λ−1)(υ−	1+(λ−1)(υ−	NUM
ejpam-5691	200	68	1	1	NUM
ejpam-5691	200	69	)	)	PUNCT
ejpam-5691	200	70	3)λ+(λ−1)(1−(υ−	3)λ+(λ−1)(1−(υ−	NUM
ejpam-5691	200	71	1	1	NUM
ejpam-5691	200	72	)	)	PUNCT
ejpam-5691	200	73	3)λ	3)λ	NUM
ejpam-5691	200	74	,	,	PUNCT
ejpam-5691	200	75	3√	3√	NOUN
ejpam-5691	200	76	λ(ϑ−	λ(ϑ−	ADP
ejpam-5691	200	77	1	1	NUM
ejpam-5691	200	78	)	)	PUNCT
ejpam-5691	200	79	λ	λ	NOUN
ejpam-5691	200	80	3	3	NUM
ejpam-5691	200	81	√	√	PROPN
ejpam-5691	200	82	(	(	PUNCT
ejpam-5691	200	83	1+(λ−1)(ϑ−	1+(λ−1)(ϑ−	NUM
ejpam-5691	200	84	1	1	NUM
ejpam-5691	200	85	)	)	PUNCT
ejpam-5691	200	86	3)λ+(λ−1)(1−(ϑ−	3)λ+(λ−1)(1−(ϑ−	NUM
ejpam-5691	200	87	1	1	X
ejpam-5691	200	88	)	)	PUNCT
ejpam-5691	200	89	3)λ	3)λ	PROPN
ejpam-5691	200	90			PROPN
ejpam-5691	200	91			PROPN
ejpam-5691	200	92	;	;	PUNCT
ejpam-5691	200	93	aλ1	aλ1	X
ejpam-5691	200	94	=	=	SYM
ejpam-5691	200	95			NOUN
ejpam-5691	200	96			VERB
ejpam-5691	200	97	3√	3√	NOUN
ejpam-5691	200	98	λ(κ+	λ(κ+	NOUN
ejpam-5691	200	99	1	1	NUM
ejpam-5691	200	100	)	)	PUNCT
ejpam-5691	200	101	λ	λ	NOUN
ejpam-5691	200	102	3	3	NUM
ejpam-5691	200	103	√	√	PROPN
ejpam-5691	200	104	(	(	PUNCT
ejpam-5691	200	105	1+(λ−1)(κ+	1+(λ−1)(κ+	NOUN
ejpam-5691	200	106	1	1	NUM
ejpam-5691	200	107	)	)	PUNCT
ejpam-5691	200	108	3)λ+(λ−1)(1−(κ+	3)λ+(λ−1)(1−(κ+	NUM
ejpam-5691	200	109	1	1	NUM
ejpam-5691	200	110	)	)	PUNCT
ejpam-5691	200	111	3)λ	3)λ	NUM
ejpam-5691	200	112	,	,	PUNCT
ejpam-5691	200	113	3√	3√	NOUN
ejpam-5691	200	114	λ(ς+1	λ(ς+1	PUNCT
ejpam-5691	200	115	)	)	PUNCT
ejpam-5691	201	1	λ	λ	NOUN
ejpam-5691	201	2	3	3	NUM
ejpam-5691	201	3	√	√	PROPN
ejpam-5691	201	4	(	(	PUNCT
ejpam-5691	201	5	1+(λ−1)(ς+1	1+(λ−1)(ς+1	NUM
ejpam-5691	201	6	)	)	PUNCT
ejpam-5691	201	7	3)λ+(λ−1)(1−(ς+1	3)λ+(λ−1)(1−(ς+1	NUM
ejpam-5691	201	8	)	)	PUNCT
ejpam-5691	201	9	3)λ	3)λ	PROPN
ejpam-5691	201	10			PROPN
ejpam-5691	201	11	,	,	PUNCT
ejpam-5691	201	12			PROPN
ejpam-5691	201	13	3	3	NUM
ejpam-5691	201	14	√	√	PROPN
ejpam-5691	201	15	(	(	PUNCT
ejpam-5691	201	16	1+(λ−1)(υ−	1+(λ−1)(υ−	NUM
ejpam-5691	201	17	1	1	NUM
ejpam-5691	201	18	)	)	PUNCT
ejpam-5691	201	19	3)λ−(1−(υ−	3)λ−(1−(υ−	NUM
ejpam-5691	201	20	1	1	NUM
ejpam-5691	201	21	)	)	PUNCT
ejpam-5691	201	22	3)λ	3)λ	PROPN
ejpam-5691	201	23	(	(	PUNCT
ejpam-5691	201	24	1+(λ−1)(1−υ−	1+(λ−1)(1−υ−	NUM
ejpam-5691	201	25	1	1	NUM
ejpam-5691	201	26	)	)	PUNCT
ejpam-5691	201	27	3)λ+(λ−1)((υ−	3)λ+(λ−1)((υ−	NUM
ejpam-5691	201	28	1	1	NUM
ejpam-5691	201	29	)	)	PUNCT
ejpam-5691	201	30	3)λ	3)λ	NUM
ejpam-5691	201	31	,	,	PUNCT
ejpam-5691	201	32	3	3	NUM
ejpam-5691	201	33	√	√	NUM
ejpam-5691	201	34	(	(	PUNCT
ejpam-5691	201	35	1+(λ−1)(ϑ−	1+(λ−1)(ϑ−	NUM
ejpam-5691	201	36	1	1	NUM
ejpam-5691	201	37	)	)	PUNCT
ejpam-5691	201	38	3)λ−(1−(ϑ−	3)λ−(1−(ϑ−	NUM
ejpam-5691	201	39	1	1	NUM
ejpam-5691	201	40	)	)	PUNCT
ejpam-5691	201	41	3)λ	3)λ	PROPN
ejpam-5691	201	42	(	(	PUNCT
ejpam-5691	201	43	1+(λ−1)(ϑ−	1+(λ−1)(ϑ−	NUM
ejpam-5691	201	44	1	1	NUM
ejpam-5691	201	45	)	)	PUNCT
ejpam-5691	201	46	3)λ+(λ−1)(1−(ϑ−	3)λ+(λ−1)(1−(ϑ−	NUM
ejpam-5691	201	47	1	1	X
ejpam-5691	201	48	)	)	PUNCT
ejpam-5691	201	49	3)λ	3)λ	NUM
ejpam-5691	201	50			NOUN
ejpam-5691	201	51			NOUN
ejpam-5691	201	52	.	.	PUNCT
ejpam-5691	202	1	definition	definition	NOUN
ejpam-5691	202	2	12	12	NUM
ejpam-5691	202	3	.	.	PUNCT
ejpam-5691	203	1	the	the	DET
ejpam-5691	203	2	bffns	bffns	NOUN
ejpam-5691	203	3	are	be	AUX
ejpam-5691	203	4	a	a	DET
ejpam-5691	203	5	=	=	X
ejpam-5691	203	6	{	{	PUNCT
ejpam-5691	203	7	[	[	X
ejpam-5691	203	8	κ+	κ+	PROPN
ejpam-5691	203	9	,	,	PUNCT
ejpam-5691	203	10	ς+	ς+	X
ejpam-5691	203	11	]	]	X
ejpam-5691	203	12	,	,	PUNCT
ejpam-5691	203	13	[	[	X
ejpam-5691	203	14	υ−	υ−	PROPN
ejpam-5691	203	15	,	,	PUNCT
ejpam-5691	203	16	ϑ−	ϑ−	PROPN
ejpam-5691	203	17	]	]	PUNCT
ejpam-5691	203	18	}	}	PUNCT
ejpam-5691	203	19	,	,	PUNCT
ejpam-5691	203	20	then	then	ADV
ejpam-5691	203	21	the	the	DET
ejpam-5691	203	22	score	score	NOUN
ejpam-5691	203	23	function	function	NOUN
ejpam-5691	203	24	h̆	h̆	ADJ
ejpam-5691	203	25	is	be	AUX
ejpam-5691	203	26	define	define	VERB
ejpam-5691	203	27	as	as	ADP
ejpam-5691	203	28	:	:	PUNCT
ejpam-5691	203	29	h̆	h̆	ADJ
ejpam-5691	203	30	=	=	SYM
ejpam-5691	203	31	{	{	PUNCT
ejpam-5691	203	32	[	[	X
ejpam-5691	203	33	(	(	PUNCT
ejpam-5691	203	34	κ+)3+(ς+)3]−[(υ−)3+(ϑ−)3	κ+)3+(ς+)3]−[(υ−)3+(ϑ−)3	PROPN
ejpam-5691	203	35	]	]	X
ejpam-5691	203	36	}	}	PUNCT
ejpam-5691	203	37	4	4	NUM
ejpam-5691	203	38	.	.	PUNCT
ejpam-5691	204	1	definition	definition	NOUN
ejpam-5691	204	2	13	13	NUM
ejpam-5691	204	3	.	.	PUNCT
ejpam-5691	205	1	the	the	DET
ejpam-5691	205	2	bffns	bffns	NOUN
ejpam-5691	205	3	are	be	AUX
ejpam-5691	205	4	a	a	DET
ejpam-5691	205	5	=	=	X
ejpam-5691	205	6	{	{	PUNCT
ejpam-5691	205	7	[	[	X
ejpam-5691	205	8	κ+	κ+	PROPN
ejpam-5691	205	9	,	,	PUNCT
ejpam-5691	205	10	ς+	ς+	X
ejpam-5691	205	11	]	]	X
ejpam-5691	205	12	,	,	PUNCT
ejpam-5691	205	13	[	[	X
ejpam-5691	205	14	υ−	υ−	PROPN
ejpam-5691	205	15	,	,	PUNCT
ejpam-5691	205	16	ϑ−	ϑ−	PROPN
ejpam-5691	205	17	]	]	PUNCT
ejpam-5691	205	18	}	}	PUNCT
ejpam-5691	205	19	,	,	PUNCT
ejpam-5691	205	20	then	then	ADV
ejpam-5691	205	21	the	the	DET
ejpam-5691	205	22	accuracy	accuracy	NOUN
ejpam-5691	205	23	function	function	NOUN
ejpam-5691	205	24	h̆	h̆	ADJ
ejpam-5691	205	25	is	be	AUX
ejpam-5691	205	26	define	define	VERB
ejpam-5691	205	27	as	as	ADP
ejpam-5691	205	28	:	:	PUNCT
ejpam-5691	205	29	h̆	h̆	ADJ
ejpam-5691	205	30	=	=	SYM
ejpam-5691	205	31	{	{	PUNCT
ejpam-5691	205	32	[	[	X
ejpam-5691	205	33	(	(	PUNCT
ejpam-5691	205	34	κ+)3+(ς+)3]+[(υ−)3+(ϑ−)3	κ+)3+(ς+)3]+[(υ−)3+(ϑ−)3	NOUN
ejpam-5691	205	35	]	]	X
ejpam-5691	205	36	}	}	PUNCT
ejpam-5691	205	37	4	4	NUM
ejpam-5691	205	38	.	.	PUNCT
ejpam-5691	205	39	4	4	X
ejpam-5691	205	40	.	.	X
ejpam-5691	205	41	bipolar	bipolar	ADJ
ejpam-5691	205	42	fermatean	fermatean	ADJ
ejpam-5691	205	43	fuzzy	fuzzy	ADJ
ejpam-5691	205	44	aggregation	aggregation	NOUN
ejpam-5691	205	45	operator	operator	NOUN
ejpam-5691	205	46	based	base	VERB
ejpam-5691	205	47	on	on	ADP
ejpam-5691	205	48	hamacher	hamacher	NOUN
ejpam-5691	205	49	this	this	DET
ejpam-5691	205	50	section	section	NOUN
ejpam-5691	205	51	defines	define	VERB
ejpam-5691	205	52	the	the	DET
ejpam-5691	205	53	bfhfwa	bfhfwa	NOUN
ejpam-5691	205	54	,	,	PUNCT
ejpam-5691	205	55	bfhfowa	bfhfowa	NOUN
ejpam-5691	205	56	and	and	CCONJ
ejpam-5691	205	57	bfhfhwa	bfhfhwa	NOUN
ejpam-5691	205	58	operators	operator	NOUN
ejpam-5691	205	59	.	.	PUNCT
ejpam-5691	206	1	4.1	4.1	NUM
ejpam-5691	206	2	.	.	PUNCT
ejpam-5691	206	3	bipolar	bipolar	ADJ
ejpam-5691	206	4	fermatean	fermatean	NOUN
ejpam-5691	206	5	fuzzy	fuzzy	ADJ
ejpam-5691	206	6	hamacher	hamacher	NOUN
ejpam-5691	206	7	weighted	weight	VERB
ejpam-5691	206	8	average	average	ADJ
ejpam-5691	206	9	operator	operator	NOUN
ejpam-5691	206	10	definition	definition	NOUN
ejpam-5691	206	11	14	14	NUM
ejpam-5691	206	12	.	.	PUNCT
ejpam-5691	207	1	the	the	DET
ejpam-5691	207	2	set	set	NOUN
ejpam-5691	207	3	of	of	ADP
ejpam-5691	207	4	bffns	bffns	NOUN
ejpam-5691	207	5	can	can	AUX
ejpam-5691	207	6	be	be	AUX
ejpam-5691	207	7	represented	represent	VERB
ejpam-5691	207	8	as	as	ADP
ejpam-5691	207	9	hj	hj	PROPN
ejpam-5691	207	10	=	=	SYM
ejpam-5691	207	11	{	{	PUNCT
ejpam-5691	208	1	[	[	X
ejpam-5691	208	2	p+	p+	NOUN
ejpam-5691	208	3	,	,	PUNCT
ejpam-5691	208	4	r+	r+	X
ejpam-5691	208	5	]	]	PUNCT
ejpam-5691	208	6	,	,	PUNCT
ejpam-5691	208	7	[	[	X
ejpam-5691	208	8	q−	q−	PROPN
ejpam-5691	208	9	,	,	PUNCT
ejpam-5691	208	10	r−	r−	PROPN
ejpam-5691	208	11	]	]	PUNCT
ejpam-5691	208	12	}	}	PUNCT
ejpam-5691	208	13	and	and	CCONJ
ejpam-5691	208	14	the	the	DET
ejpam-5691	208	15	weight	weight	NOUN
ejpam-5691	208	16	vector	vector	NOUN
ejpam-5691	208	17	is	be	AUX
ejpam-5691	208	18	g	g	NOUN
ejpam-5691	208	19	=	=	PUNCT
ejpam-5691	208	20	(	(	PUNCT
ejpam-5691	208	21	g1	g1	PROPN
ejpam-5691	208	22	,	,	PUNCT
ejpam-5691	208	23	g2	g2	PROPN
ejpam-5691	208	24	,	,	PUNCT
ejpam-5691	208	25	...	...	PUNCT
ejpam-5691	208	26	,	,	PUNCT
ejpam-5691	208	27	gn	gn	PROPN
ejpam-5691	208	28	)	)	PUNCT
ejpam-5691	208	29	t	t	PROPN
ejpam-5691	208	30	with	with	ADP
ejpam-5691	208	31	gj	gj	PROPN
ejpam-5691	208	32	∈	∈	PROPN
ejpam-5691	209	1	[	[	X
ejpam-5691	209	2	0	0	NUM
ejpam-5691	209	3	,	,	PUNCT
ejpam-5691	209	4	1	1	NUM
ejpam-5691	209	5	]	]	PUNCT
ejpam-5691	209	6	and	and	CCONJ
ejpam-5691	209	7	n∑	n∑	PROPN
ejpam-5691	209	8	j=1	j=1	PROPN
ejpam-5691	209	9	gj	gj	NOUN
ejpam-5691	209	10	=	=	NOUN
ejpam-5691	209	11	1	1	X
ejpam-5691	209	12	.	.	PUNCT
ejpam-5691	209	13	then	then	ADV
ejpam-5691	209	14	bfhfwa(h1	bfhfwa(h1	NUM
ejpam-5691	209	15	,	,	PUNCT
ejpam-5691	209	16	h2	h2	PROPN
ejpam-5691	209	17	,	,	PUNCT
ejpam-5691	209	18	...	...	PUNCT
ejpam-5691	209	19	,	,	PUNCT
ejpam-5691	209	20	hn	hn	PROPN
ejpam-5691	209	21	)	)	PUNCT
ejpam-5691	209	22	=	=	SYM
ejpam-5691	209	23	n⊕	n⊕	PROPN
ejpam-5691	209	24	j=1	j=1	PROPN
ejpam-5691	209	25	gjhj	gjhj	NOUN
ejpam-5691	209	26	is	be	AUX
ejpam-5691	209	27	said	say	VERB
ejpam-5691	209	28	bfhfwa	bfhfwa	NOUN
ejpam-5691	209	29	operator	operator	NOUN
ejpam-5691	209	30	.	.	PUNCT
ejpam-5691	210	1	theorem	theorem	VERB
ejpam-5691	210	2	1	1	NUM
ejpam-5691	210	3	.	.	PUNCT
ejpam-5691	211	1	the	the	DET
ejpam-5691	211	2	gathering	gathering	NOUN
ejpam-5691	211	3	of	of	ADP
ejpam-5691	211	4	bffns	bffns	NOUN
ejpam-5691	211	5	are	be	AUX
ejpam-5691	211	6	aj	aj	PROPN
ejpam-5691	211	7	=	=	PUNCT
ejpam-5691	211	8	{	{	PUNCT
ejpam-5691	211	9	[	[	X
ejpam-5691	211	10	κ+	κ+	PROPN
ejpam-5691	211	11	,	,	PUNCT
ejpam-5691	211	12	ς+	ς+	X
ejpam-5691	211	13	]	]	X
ejpam-5691	211	14	,	,	PUNCT
ejpam-5691	211	15	[	[	X
ejpam-5691	211	16	υ−	υ−	PROPN
ejpam-5691	211	17	,	,	PUNCT
ejpam-5691	211	18	ϑ−	ϑ−	PROPN
ejpam-5691	211	19	]	]	PUNCT
ejpam-5691	211	20	}	}	PUNCT
ejpam-5691	211	21	and	and	CCONJ
ejpam-5691	211	22	the	the	DET
ejpam-5691	211	23	weight	weight	NOUN
ejpam-5691	211	24	vector	vector	NOUN
ejpam-5691	211	25	is	be	AUX
ejpam-5691	211	26	g	g	NOUN
ejpam-5691	211	27	=	=	PUNCT
ejpam-5691	211	28	(	(	PUNCT
ejpam-5691	211	29	g1	g1	PROPN
ejpam-5691	211	30	,	,	PUNCT
ejpam-5691	211	31	g2	g2	PROPN
ejpam-5691	211	32	,	,	PUNCT
ejpam-5691	211	33	...	...	PUNCT
ejpam-5691	211	34	,	,	PUNCT
ejpam-5691	211	35	gl	gl	PROPN
ejpam-5691	211	36	)	)	PUNCT
ejpam-5691	211	37	t	t	NOUN
ejpam-5691	211	38	with	with	ADP
ejpam-5691	211	39	gj	gj	PROPN
ejpam-5691	211	40	∈	∈	PROPN
ejpam-5691	212	1	[	[	X
ejpam-5691	212	2	0	0	NUM
ejpam-5691	212	3	,	,	PUNCT
ejpam-5691	212	4	1	1	NUM
ejpam-5691	212	5	]	]	PUNCT
ejpam-5691	212	6	and	and	CCONJ
ejpam-5691	212	7	l∑	l∑	X
ejpam-5691	212	8	j=1	j=1	PROPN
ejpam-5691	212	9	gj	gj	PROPN
ejpam-5691	213	1	=	=	NOUN
ejpam-5691	214	1	1	1	X
ejpam-5691	214	2	.	.	PUNCT
ejpam-5691	215	1	then	then	ADV
ejpam-5691	215	2	it	it	PRON
ejpam-5691	215	3	is	be	AUX
ejpam-5691	215	4	said	say	VERB
ejpam-5691	215	5	bfhfwa	bfhfwa	NOUN
ejpam-5691	215	6	operator	operator	NOUN
ejpam-5691	215	7	and	and	CCONJ
ejpam-5691	215	8	bfhfwa(a1	bfhfwa(a1	NOUN
ejpam-5691	215	9	,	,	PUNCT
ejpam-5691	215	10	a2	a2	PROPN
ejpam-5691	215	11	,	,	PUNCT
ejpam-5691	215	12	...	...	PUNCT
ejpam-5691	215	13	,	,	PUNCT
ejpam-5691	215	14	al	al	PROPN
ejpam-5691	215	15	)	)	PUNCT
ejpam-5691	215	16	=	=	PUNCT
ejpam-5691	216	1	a.	a.	NOUN
ejpam-5691	216	2	fahmi	fahmi	PROPN
ejpam-5691	216	3	et	et	PROPN
ejpam-5691	216	4	al	al	PROPN
ejpam-5691	216	5	.	.	PUNCT
ejpam-5691	216	6	/	/	SYM
ejpam-5691	216	7	eur	eur	PROPN
ejpam-5691	216	8	.	.	PUNCT
ejpam-5691	217	1	j.	j.	PROPN
ejpam-5691	217	2	pure	pure	PROPN
ejpam-5691	217	3	appl	appl	PROPN
ejpam-5691	217	4	.	.	PROPN
ejpam-5691	217	5	math	math	PROPN
ejpam-5691	217	6	,	,	PUNCT
ejpam-5691	217	7	18	18	NUM
ejpam-5691	217	8	(	(	PUNCT
ejpam-5691	217	9	1	1	NUM
ejpam-5691	217	10	)	)	PUNCT
ejpam-5691	217	11	(	(	PUNCT
ejpam-5691	217	12	2025	2025	NUM
ejpam-5691	217	13	)	)	PUNCT
ejpam-5691	217	14	,	,	PUNCT
ejpam-5691	217	15	5691	5691	NUM
ejpam-5691	217	16	10	10	NUM
ejpam-5691	217	17	of	of	ADP
ejpam-5691	217	18	32	32	PROPN
ejpam-5691	217	19			NOUN
ejpam-5691	217	20	3	3	NUM
ejpam-5691	217	21	√√√√√√√√	√√√√√√√√	PROPN
ejpam-5691	217	22	l∏	l∏	NOUN
ejpam-5691	217	23	j=1	j=1	PROPN
ejpam-5691	218	1	(	(	PUNCT
ejpam-5691	218	2	1+(g−1)(κ+	1+(g−1)(κ+	NUM
ejpam-5691	218	3	j	j	PROPN
ejpam-5691	218	4	)	)	PUNCT
ejpam-5691	218	5	3)g−	3)g−	NUM
ejpam-5691	218	6	l∏	l∏	PROPN
ejpam-5691	219	1	j=1	j=1	NOUN
ejpam-5691	219	2	(	(	PUNCT
ejpam-5691	219	3	1−(κ+	1−(κ+	NUM
ejpam-5691	219	4	j	j	NOUN
ejpam-5691	219	5	)	)	PUNCT
ejpam-5691	219	6	3)g	3)g	NUM
ejpam-5691	219	7	l∏	l∏	PROPN
ejpam-5691	220	1	j=1	j=1	NOUN
ejpam-5691	220	2	(	(	PUNCT
ejpam-5691	220	3	1+(g−1)(1−κ+	1+(g−1)(1−κ+	NUM
ejpam-5691	220	4	j	j	NOUN
ejpam-5691	220	5	)	)	PUNCT
ejpam-5691	220	6	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	220	7	)	)	PUNCT
ejpam-5691	220	8	l∏	l∏	NOUN
ejpam-5691	221	1	j=1	j=1	NOUN
ejpam-5691	221	2	(	(	PUNCT
ejpam-5691	221	3	(	(	PUNCT
ejpam-5691	221	4	1−κ+	1−κ+	NUM
ejpam-5691	221	5	j	j	NOUN
ejpam-5691	221	6	)	)	PUNCT
ejpam-5691	221	7	3)g	3)g	NUM
ejpam-5691	221	8	,	,	PUNCT
ejpam-5691	221	9	3	3	NUM
ejpam-5691	221	10	√√√√√√√√	√√√√√√√√	NOUN
ejpam-5691	221	11	l∏	l∏	NOUN
ejpam-5691	221	12	j=1	j=1	PROPN
ejpam-5691	221	13	(	(	PUNCT
ejpam-5691	221	14	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	221	15	)	)	PUNCT
ejpam-5691	221	16	3)g−	3)g−	NUM
ejpam-5691	221	17	l∏	l∏	PROPN
ejpam-5691	222	1	j=1	j=1	NOUN
ejpam-5691	222	2	(	(	PUNCT
ejpam-5691	222	3	1−(ς+j	1−(ς+j	NUM
ejpam-5691	222	4	)	)	PUNCT
ejpam-5691	222	5	3)g	3)g	NUM
ejpam-5691	222	6	l∏	l∏	PROPN
ejpam-5691	223	1	j=1	j=1	NOUN
ejpam-5691	223	2	(	(	PUNCT
ejpam-5691	223	3	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	223	4	)	)	PUNCT
ejpam-5691	223	5	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	223	6	)	)	PUNCT
ejpam-5691	223	7	l∏	l∏	NOUN
ejpam-5691	224	1	j=1	j=1	NOUN
ejpam-5691	224	2	(	(	PUNCT
ejpam-5691	224	3	1−(ς+j	1−(ς+j	NUM
ejpam-5691	224	4	)	)	PUNCT
ejpam-5691	224	5	3)g	3)g	NUM
ejpam-5691	224	6			NOUN
ejpam-5691	224	7	,	,	PUNCT
ejpam-5691	224	8			NOUN
ejpam-5691	224	9	3	3	NUM
ejpam-5691	224	10	√	√	PROPN
ejpam-5691	224	11	g	g	PROPN
ejpam-5691	224	12	l∏	l∏	PROPN
ejpam-5691	224	13	j=1	j=1	NOUN
ejpam-5691	224	14	(	(	PUNCT
ejpam-5691	224	15	υ−	υ−	PROPN
ejpam-5691	224	16	j	j	PROPN
ejpam-5691	224	17	)	)	PUNCT
ejpam-5691	224	18	g	g	PROPN
ejpam-5691	224	19	3	3	NUM
ejpam-5691	224	20	√√√√√	√√√√√	PROPN
ejpam-5691	224	21	l∏	l∏	PROPN
ejpam-5691	224	22	j=1	j=1	NOUN
ejpam-5691	224	23	(	(	PUNCT
ejpam-5691	224	24	1+(g−1)(υ−	1+(g−1)(υ−	NUM
ejpam-5691	224	25	j	j	PROPN
ejpam-5691	224	26	)	)	PUNCT
ejpam-5691	224	27	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	224	28	)	)	PUNCT
ejpam-5691	225	1	l∏	l∏	NOUN
ejpam-5691	225	2	j=1	j=1	NOUN
ejpam-5691	225	3	(	(	PUNCT
ejpam-5691	225	4	1−(υ−	1−(υ−	NUM
ejpam-5691	225	5	j	j	PROPN
ejpam-5691	225	6	)	)	PUNCT
ejpam-5691	225	7	3)g	3)g	NUM
ejpam-5691	225	8	,	,	PUNCT
ejpam-5691	225	9	3	3	NUM
ejpam-5691	225	10	√	√	PROPN
ejpam-5691	225	11	g	g	PROPN
ejpam-5691	225	12	l∏	l∏	PROPN
ejpam-5691	225	13	j=1	j=1	NOUN
ejpam-5691	225	14	(	(	PUNCT
ejpam-5691	225	15	ϑ−	ϑ−	PROPN
ejpam-5691	225	16	j	j	NOUN
ejpam-5691	225	17	)	)	PUNCT
ejpam-5691	225	18	g	g	ADP
ejpam-5691	225	19	3	3	NUM
ejpam-5691	225	20	√√√√√	√√√√√	PROPN
ejpam-5691	225	21	l∏	l∏	PROPN
ejpam-5691	225	22	j=1	j=1	NOUN
ejpam-5691	225	23	(	(	PUNCT
ejpam-5691	225	24	1+(g−1)(ϑ−	1+(g−1)(ϑ−	NUM
ejpam-5691	225	25	j	j	PROPN
ejpam-5691	225	26	)	)	PUNCT
ejpam-5691	225	27	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	225	28	)	)	PUNCT
ejpam-5691	226	1	l∏	l∏	NOUN
ejpam-5691	226	2	j=1	j=1	NOUN
ejpam-5691	226	3	(	(	PUNCT
ejpam-5691	226	4	1−(ϑ−	1−(ϑ−	NUM
ejpam-5691	226	5	j	j	NOUN
ejpam-5691	226	6	)	)	PUNCT
ejpam-5691	226	7	3)g	3)g	NUM
ejpam-5691	226	8			NOUN
ejpam-5691	226	9			NOUN
ejpam-5691	226	10	.	.	PUNCT
ejpam-5691	227	1	proof	proof	NOUN
ejpam-5691	227	2	.	.	PUNCT
ejpam-5691	228	1	since	since	SCONJ
ejpam-5691	228	2	l	l	NOUN
ejpam-5691	228	3	is	be	AUX
ejpam-5691	228	4	true	true	ADJ
ejpam-5691	228	5	and	and	CCONJ
ejpam-5691	228	6	l	l	NOUN
ejpam-5691	228	7	=	=	SYM
ejpam-5691	228	8	1	1	NUM
ejpam-5691	228	9	g1a1	g1a1	NOUN
ejpam-5691	228	10	=	=	SYM
ejpam-5691	228	11			NOUN
ejpam-5691	228	12			NOUN
ejpam-5691	228	13	3	3	NUM
ejpam-5691	228	14	√√√√√√√√	√√√√√√√√	PROPN
ejpam-5691	228	15	l∏	l∏	NOUN
ejpam-5691	228	16	j=1	j=1	PROPN
ejpam-5691	228	17	(	(	PUNCT
ejpam-5691	228	18	1+(g−1)(κ+	1+(g−1)(κ+	NOUN
ejpam-5691	228	19	1	1	NUM
ejpam-5691	228	20	)	)	PUNCT
ejpam-5691	228	21	3)g1−	3)g1−	PROPN
ejpam-5691	228	22	l∏	l∏	NOUN
ejpam-5691	229	1	j=1	j=1	NOUN
ejpam-5691	229	2	(	(	PUNCT
ejpam-5691	229	3	1−(κ+	1−(κ+	NOUN
ejpam-5691	229	4	1	1	NUM
ejpam-5691	229	5	)	)	PUNCT
ejpam-5691	229	6	3)g1	3)g1	NUM
ejpam-5691	229	7	l∏	l∏	PROPN
ejpam-5691	230	1	j=1	j=1	NOUN
ejpam-5691	230	2	(	(	PUNCT
ejpam-5691	230	3	1+(g−1)(1−κ+	1+(g−1)(1−κ+	NUM
ejpam-5691	230	4	1	1	NUM
ejpam-5691	230	5	)	)	PUNCT
ejpam-5691	230	6	3)g1+(g−1	3)g1+(g−1	NUM
ejpam-5691	230	7	)	)	PUNCT
ejpam-5691	230	8	l∏	l∏	NOUN
ejpam-5691	231	1	j=1	j=1	NOUN
ejpam-5691	231	2	(	(	PUNCT
ejpam-5691	231	3	(	(	PUNCT
ejpam-5691	231	4	1−κ+	1−κ+	NUM
ejpam-5691	231	5	1	1	NUM
ejpam-5691	231	6	)	)	PUNCT
ejpam-5691	231	7	3)g1	3)g1	NUM
ejpam-5691	231	8	,	,	PUNCT
ejpam-5691	231	9	3	3	NUM
ejpam-5691	231	10	√√√√√√√√	√√√√√√√√	NOUN
ejpam-5691	231	11	l∏	l∏	NOUN
ejpam-5691	231	12	j=1	j=1	PROPN
ejpam-5691	231	13	(	(	PUNCT
ejpam-5691	231	14	1+(g−1)(ς+1	1+(g−1)(ς+1	NUM
ejpam-5691	231	15	)	)	PUNCT
ejpam-5691	231	16	3)g1−	3)g1−	PROPN
ejpam-5691	231	17	l∏	l∏	NOUN
ejpam-5691	232	1	j=1	j=1	NOUN
ejpam-5691	232	2	(	(	PUNCT
ejpam-5691	232	3	1−(ς+1	1−(ς+1	NUM
ejpam-5691	232	4	)	)	PUNCT
ejpam-5691	232	5	3)g1	3)g1	NUM
ejpam-5691	232	6	l∏	l∏	PROPN
ejpam-5691	233	1	j=1	j=1	NOUN
ejpam-5691	233	2	(	(	PUNCT
ejpam-5691	233	3	1+(g−1)(ς+1	1+(g−1)(ς+1	NUM
ejpam-5691	233	4	)	)	PUNCT
ejpam-5691	233	5	3)g1+(g−1	3)g1+(g−1	NUM
ejpam-5691	233	6	)	)	PUNCT
ejpam-5691	233	7	l∏	l∏	NOUN
ejpam-5691	234	1	j=1	j=1	NOUN
ejpam-5691	234	2	(	(	PUNCT
ejpam-5691	234	3	1−(ς+1	1−(ς+1	NUM
ejpam-5691	234	4	)	)	PUNCT
ejpam-5691	234	5	3)g1	3)g1	NUM
ejpam-5691	234	6			NOUN
ejpam-5691	234	7	,	,	PUNCT
ejpam-5691	234	8			NOUN
ejpam-5691	234	9	3	3	NUM
ejpam-5691	234	10	√	√	PROPN
ejpam-5691	234	11	g	g	PROPN
ejpam-5691	234	12	l∏	l∏	PROPN
ejpam-5691	234	13	j=1	j=1	NOUN
ejpam-5691	234	14	(	(	PUNCT
ejpam-5691	234	15	υ−	υ−	PROPN
ejpam-5691	234	16	1	1	NUM
ejpam-5691	234	17	)	)	PUNCT
ejpam-5691	234	18	g1	g1	PROPN
ejpam-5691	234	19	3	3	NUM
ejpam-5691	234	20	√√√√√	√√√√√	PROPN
ejpam-5691	234	21	l∏	l∏	PROPN
ejpam-5691	234	22	j=1	j=1	NOUN
ejpam-5691	234	23	(	(	PUNCT
ejpam-5691	234	24	1+(g−1)(υ−	1+(g−1)(υ−	NUM
ejpam-5691	234	25	1	1	NUM
ejpam-5691	234	26	)	)	PUNCT
ejpam-5691	234	27	3)g1+(g−1	3)g1+(g−1	NUM
ejpam-5691	234	28	)	)	PUNCT
ejpam-5691	235	1	l∏	l∏	NOUN
ejpam-5691	235	2	j=1	j=1	NOUN
ejpam-5691	235	3	(	(	PUNCT
ejpam-5691	235	4	1−(υ−	1−(υ−	NUM
ejpam-5691	235	5	1	1	NUM
ejpam-5691	235	6	)	)	PUNCT
ejpam-5691	235	7	3)g1	3)g1	NUM
ejpam-5691	235	8	,	,	PUNCT
ejpam-5691	235	9	3	3	NUM
ejpam-5691	235	10	√	√	PROPN
ejpam-5691	235	11	g	g	PROPN
ejpam-5691	235	12	l∏	l∏	PROPN
ejpam-5691	235	13	j=1	j=1	NOUN
ejpam-5691	235	14	(	(	PUNCT
ejpam-5691	235	15	ϑ−	ϑ−	NOUN
ejpam-5691	235	16	1	1	NUM
ejpam-5691	235	17	)	)	PUNCT
ejpam-5691	235	18	g1	g1	VERB
ejpam-5691	235	19	3	3	NUM
ejpam-5691	235	20	√√√√√	√√√√√	PROPN
ejpam-5691	235	21	l∏	l∏	PROPN
ejpam-5691	235	22	j=1	j=1	NOUN
ejpam-5691	236	1	(	(	PUNCT
ejpam-5691	236	2	1+(g−1)(ϑ−	1+(g−1)(ϑ−	NUM
ejpam-5691	236	3	1	1	NUM
ejpam-5691	236	4	)	)	PUNCT
ejpam-5691	236	5	3)g1+(g−1	3)g1+(g−1	NUM
ejpam-5691	236	6	)	)	PUNCT
ejpam-5691	236	7	l∏	l∏	NOUN
ejpam-5691	237	1	j=1	j=1	NOUN
ejpam-5691	237	2	(	(	PUNCT
ejpam-5691	237	3	1−(ϑ−	1−(ϑ−	NUM
ejpam-5691	237	4	1	1	NUM
ejpam-5691	237	5	)	)	PUNCT
ejpam-5691	237	6	3)g1	3)g1	NUM
ejpam-5691	237	7			NOUN
ejpam-5691	237	8			NUM
ejpam-5691	237	9	a.	a.	NOUN
ejpam-5691	237	10	fahmi	fahmi	PROPN
ejpam-5691	237	11	et	et	PROPN
ejpam-5691	237	12	al	al	PROPN
ejpam-5691	237	13	.	.	PUNCT
ejpam-5691	237	14	/	/	SYM
ejpam-5691	237	15	eur	eur	PROPN
ejpam-5691	237	16	.	.	PUNCT
ejpam-5691	238	1	j.	j.	PROPN
ejpam-5691	238	2	pure	pure	PROPN
ejpam-5691	238	3	appl	appl	PROPN
ejpam-5691	238	4	.	.	PROPN
ejpam-5691	238	5	math	math	PROPN
ejpam-5691	238	6	,	,	PUNCT
ejpam-5691	238	7	18	18	NUM
ejpam-5691	238	8	(	(	PUNCT
ejpam-5691	238	9	1	1	NUM
ejpam-5691	238	10	)	)	PUNCT
ejpam-5691	238	11	(	(	PUNCT
ejpam-5691	238	12	2025	2025	NUM
ejpam-5691	238	13	)	)	PUNCT
ejpam-5691	238	14	,	,	PUNCT
ejpam-5691	238	15	5691	5691	NUM
ejpam-5691	238	16	11	11	NUM
ejpam-5691	238	17	of	of	ADP
ejpam-5691	238	18	32	32	NUM
ejpam-5691	238	19	g1a1	g1a1	NOUN
ejpam-5691	238	20	=	=	SYM
ejpam-5691	238	21			NOUN
ejpam-5691	238	22			NOUN
ejpam-5691	238	23	3	3	NUM
ejpam-5691	238	24	√	√	PROPN
ejpam-5691	238	25	(	(	PUNCT
ejpam-5691	238	26	1+(g−1)(κ+	1+(g−1)(κ+	NOUN
ejpam-5691	238	27	1	1	NUM
ejpam-5691	238	28	)	)	PUNCT
ejpam-5691	238	29	3)g1−(1−(κ+	3)g1−(1−(κ+	NOUN
ejpam-5691	238	30	1	1	NUM
ejpam-5691	238	31	)	)	PUNCT
ejpam-5691	238	32	3)g1	3)g1	NUM
ejpam-5691	238	33	(	(	PUNCT
ejpam-5691	238	34	1+(g−1)(1−κ+	1+(g−1)(1−κ+	NUM
ejpam-5691	238	35	1	1	NUM
ejpam-5691	238	36	)	)	PUNCT
ejpam-5691	238	37	3)g1+(g−1)((1−κ+	3)g1+(g−1)((1−κ+	NUM
ejpam-5691	238	38	1	1	NUM
ejpam-5691	238	39	)	)	PUNCT
ejpam-5691	238	40	3)g1	3)g1	NUM
ejpam-5691	238	41	,	,	PUNCT
ejpam-5691	238	42	3	3	NUM
ejpam-5691	238	43	√	√	NUM
ejpam-5691	238	44	(	(	PUNCT
ejpam-5691	238	45	1+(g−1)(ς+1	1+(g−1)(ς+1	NUM
ejpam-5691	238	46	)	)	PUNCT
ejpam-5691	238	47	3)g1−(1−(ς+1	3)g1−(1−(ς+1	PROPN
ejpam-5691	238	48	)	)	PUNCT
ejpam-5691	239	1	3)g1	3)g1	NUM
ejpam-5691	239	2	(	(	PUNCT
ejpam-5691	239	3	1+(g−1)(ς+1	1+(g−1)(ς+1	NUM
ejpam-5691	239	4	)	)	PUNCT
ejpam-5691	239	5	3)g1+(g−1)(1−(ς+1	3)g1+(g−1)(1−(ς+1	NUM
ejpam-5691	239	6	)	)	PUNCT
ejpam-5691	239	7	3)g1	3)g1	NUM
ejpam-5691	239	8			NOUN
ejpam-5691	239	9	,	,	PUNCT
ejpam-5691	239	10			NOUN
ejpam-5691	239	11	3	3	NUM
ejpam-5691	239	12	√	√	NOUN
ejpam-5691	239	13	g(υ−	g(υ−	PROPN
ejpam-5691	239	14	1	1	NUM
ejpam-5691	239	15	)	)	PUNCT
ejpam-5691	239	16	g1	g1	PROPN
ejpam-5691	239	17	3	3	NUM
ejpam-5691	239	18	√	√	PROPN
ejpam-5691	239	19	(	(	PUNCT
ejpam-5691	239	20	1+(g−1)(υ−	1+(g−1)(υ−	NUM
ejpam-5691	239	21	1	1	NUM
ejpam-5691	239	22	)	)	PUNCT
ejpam-5691	239	23	3)g1+(g−1)(1−(υ−	3)g1+(g−1)(1−(υ−	NUM
ejpam-5691	239	24	1	1	NUM
ejpam-5691	239	25	)	)	PUNCT
ejpam-5691	239	26	3)g1	3)g1	NUM
ejpam-5691	239	27	,	,	PUNCT
ejpam-5691	239	28	3	3	NUM
ejpam-5691	239	29	√	√	NUM
ejpam-5691	239	30	g(ϑ−	g(ϑ−	PROPN
ejpam-5691	239	31	1	1	NUM
ejpam-5691	239	32	)	)	PUNCT
ejpam-5691	239	33	g1	g1	PROPN
ejpam-5691	239	34	3	3	NUM
ejpam-5691	239	35	√	√	PROPN
ejpam-5691	239	36	(	(	PUNCT
ejpam-5691	239	37	1+(g−1)(ϑ−	1+(g−1)(ϑ−	NUM
ejpam-5691	239	38	1	1	NUM
ejpam-5691	239	39	)	)	PUNCT
ejpam-5691	239	40	3)g1+(g−1)(1−(ϑ−	3)g1+(g−1)(1−(ϑ−	NUM
ejpam-5691	239	41	1	1	NUM
ejpam-5691	239	42	)	)	PUNCT
ejpam-5691	239	43	3)g1	3)g1	PROPN
ejpam-5691	239	44			PROPN
ejpam-5691	239	45			NOUN
ejpam-5691	239	46	g2a2	g2a2	NOUN
ejpam-5691	239	47	=	=	PRON
ejpam-5691	239	48			NOUN
ejpam-5691	239	49			NOUN
ejpam-5691	239	50	3	3	NUM
ejpam-5691	239	51	√	√	PROPN
ejpam-5691	239	52	(	(	PUNCT
ejpam-5691	239	53	1+(g−1)(κ+	1+(g−1)(κ+	NOUN
ejpam-5691	239	54	2	2	NUM
ejpam-5691	239	55	)	)	PUNCT
ejpam-5691	239	56	3)g2−(1−(κ+	3)g2−(1−(κ+	NOUN
ejpam-5691	239	57	2	2	NUM
ejpam-5691	239	58	)	)	PUNCT
ejpam-5691	239	59	3)g2	3)g2	NUM
ejpam-5691	239	60	(	(	PUNCT
ejpam-5691	239	61	1+(g−1)(1−κ+	1+(g−1)(1−κ+	NUM
ejpam-5691	239	62	2	2	NUM
ejpam-5691	239	63	)	)	PUNCT
ejpam-5691	239	64	3)g2+(g−1)((1−κ+	3)g2+(g−1)((1−κ+	NUM
ejpam-5691	239	65	2	2	NUM
ejpam-5691	239	66	)	)	PUNCT
ejpam-5691	239	67	3)g2	3)g2	NUM
ejpam-5691	239	68	,	,	PUNCT
ejpam-5691	239	69	3	3	NUM
ejpam-5691	239	70	√	√	NUM
ejpam-5691	239	71	(	(	PUNCT
ejpam-5691	239	72	1+(g−1)(ς+2	1+(g−1)(ς+2	NUM
ejpam-5691	239	73	)	)	PUNCT
ejpam-5691	239	74	3)g2−(1−(ς+2	3)g2−(1−(ς+2	X
ejpam-5691	239	75	)	)	PUNCT
ejpam-5691	239	76	3)g2	3)g2	NUM
ejpam-5691	239	77	(	(	PUNCT
ejpam-5691	239	78	1+(g−1)(ς+2	1+(g−1)(ς+2	NUM
ejpam-5691	239	79	)	)	PUNCT
ejpam-5691	239	80	3)g2+(g−1)(1−(ς+2	3)g2+(g−1)(1−(ς+2	NUM
ejpam-5691	239	81	)	)	PUNCT
ejpam-5691	239	82	3)g2	3)g2	NUM
ejpam-5691	239	83			NOUN
ejpam-5691	239	84	,	,	PUNCT
ejpam-5691	239	85			NOUN
ejpam-5691	239	86	3	3	NUM
ejpam-5691	239	87	√	√	PROPN
ejpam-5691	239	88	g(υ−	g(υ−	PROPN
ejpam-5691	239	89	2	2	NUM
ejpam-5691	239	90	)	)	PUNCT
ejpam-5691	239	91	g2	g2	PROPN
ejpam-5691	239	92	3	3	NUM
ejpam-5691	240	1	√	√	PROPN
ejpam-5691	240	2	(	(	PUNCT
ejpam-5691	240	3	1+(g−1)(υ−	1+(g−1)(υ−	NUM
ejpam-5691	240	4	2	2	NUM
ejpam-5691	240	5	)	)	PUNCT
ejpam-5691	240	6	3)g2+(g−1)(1−(υ−	3)g2+(g−1)(1−(υ−	NOUN
ejpam-5691	240	7	2	2	NUM
ejpam-5691	240	8	)	)	PUNCT
ejpam-5691	240	9	3)g2	3)g2	NUM
ejpam-5691	240	10	,	,	PUNCT
ejpam-5691	240	11	3	3	NUM
ejpam-5691	240	12	√	√	NUM
ejpam-5691	240	13	g(ϑ−	g(ϑ−	PROPN
ejpam-5691	240	14	1	1	NUM
ejpam-5691	240	15	)	)	PUNCT
ejpam-5691	240	16	g2	g2	PROPN
ejpam-5691	241	1	3	3	NUM
ejpam-5691	241	2	√	√	INTJ
ejpam-5691	241	3	(	(	PUNCT
ejpam-5691	241	4	1+(g−1)(ϑ−	1+(g−1)(ϑ−	NUM
ejpam-5691	241	5	2	2	NUM
ejpam-5691	241	6	)	)	PUNCT
ejpam-5691	241	7	3)g2+(g−1)(1−(ϑ−	3)g2+(g−1)(1−(ϑ−	NUM
ejpam-5691	241	8	2	2	NUM
ejpam-5691	241	9	)	)	PUNCT
ejpam-5691	241	10	3)g2	3)g2	PROPN
ejpam-5691	241	11			PROPN
ejpam-5691	241	12			NUM
ejpam-5691	241	13	g1a1	g1a1	NOUN
ejpam-5691	241	14	⊕	⊕	NOUN
ejpam-5691	241	15	g2a2	g2a2	NOUN
ejpam-5691	241	16	=	=	PRON
ejpam-5691	241	17			NOUN
ejpam-5691	241	18			NOUN
ejpam-5691	241	19	3	3	NUM
ejpam-5691	241	20	√	√	PROPN
ejpam-5691	241	21	(	(	PUNCT
ejpam-5691	241	22	1+(g−1)(κ+	1+(g−1)(κ+	NOUN
ejpam-5691	241	23	1	1	NUM
ejpam-5691	241	24	)	)	PUNCT
ejpam-5691	241	25	3)g1−(1−(κ+	3)g1−(1−(κ+	NOUN
ejpam-5691	241	26	1	1	NUM
ejpam-5691	241	27	)	)	PUNCT
ejpam-5691	241	28	3)g1	3)g1	NUM
ejpam-5691	241	29	(	(	PUNCT
ejpam-5691	241	30	1+(g−1)(1−κ+	1+(g−1)(1−κ+	NUM
ejpam-5691	241	31	1	1	NUM
ejpam-5691	241	32	)	)	PUNCT
ejpam-5691	241	33	3)g1+(g−1)((1−κ+	3)g1+(g−1)((1−κ+	NUM
ejpam-5691	241	34	1	1	NUM
ejpam-5691	241	35	)	)	PUNCT
ejpam-5691	241	36	3)g1	3)g1	NUM
ejpam-5691	241	37	,	,	PUNCT
ejpam-5691	241	38	3	3	NUM
ejpam-5691	241	39	√	√	NUM
ejpam-5691	241	40	(	(	PUNCT
ejpam-5691	241	41	1+(g−1)(ς+1	1+(g−1)(ς+1	NUM
ejpam-5691	241	42	)	)	PUNCT
ejpam-5691	241	43	3)g1−(1−(ς+1	3)g1−(1−(ς+1	PROPN
ejpam-5691	241	44	)	)	PUNCT
ejpam-5691	241	45	3)g1	3)g1	NUM
ejpam-5691	241	46	(	(	PUNCT
ejpam-5691	241	47	1+(g−1)(ς+1	1+(g−1)(ς+1	NUM
ejpam-5691	241	48	)	)	PUNCT
ejpam-5691	241	49	3)g1+(g−1)(1−(ς+1	3)g1+(g−1)(1−(ς+1	NUM
ejpam-5691	241	50	)	)	PUNCT
ejpam-5691	241	51	3)g1	3)g1	NUM
ejpam-5691	241	52			NOUN
ejpam-5691	241	53	,	,	PUNCT
ejpam-5691	241	54			NOUN
ejpam-5691	241	55	3	3	NUM
ejpam-5691	241	56	√	√	NOUN
ejpam-5691	241	57	g(υ−	g(υ−	PROPN
ejpam-5691	241	58	1	1	NUM
ejpam-5691	241	59	)	)	PUNCT
ejpam-5691	241	60	g1	g1	PROPN
ejpam-5691	241	61	3	3	NUM
ejpam-5691	241	62	√	√	PROPN
ejpam-5691	241	63	(	(	PUNCT
ejpam-5691	241	64	1+(g−1)(υ−	1+(g−1)(υ−	NUM
ejpam-5691	241	65	1	1	NUM
ejpam-5691	241	66	)	)	PUNCT
ejpam-5691	241	67	3)g1+(g−1)(1−(υ−	3)g1+(g−1)(1−(υ−	NUM
ejpam-5691	241	68	1	1	NUM
ejpam-5691	241	69	)	)	PUNCT
ejpam-5691	241	70	3)g1	3)g1	NUM
ejpam-5691	241	71	,	,	PUNCT
ejpam-5691	241	72	3	3	NUM
ejpam-5691	241	73	√	√	NUM
ejpam-5691	241	74	g(ϑ−	g(ϑ−	PROPN
ejpam-5691	241	75	1	1	NUM
ejpam-5691	241	76	)	)	PUNCT
ejpam-5691	241	77	g1	g1	PROPN
ejpam-5691	241	78	3	3	NUM
ejpam-5691	241	79	√	√	PROPN
ejpam-5691	241	80	(	(	PUNCT
ejpam-5691	241	81	1+(g−1)(ϑ−	1+(g−1)(ϑ−	NUM
ejpam-5691	241	82	1	1	NUM
ejpam-5691	241	83	)	)	PUNCT
ejpam-5691	241	84	3)g1+(g−1)(1−(ϑ−	3)g1+(g−1)(1−(ϑ−	NUM
ejpam-5691	241	85	1	1	NUM
ejpam-5691	241	86	)	)	PUNCT
ejpam-5691	241	87	3)g1	3)g1	PROPN
ejpam-5691	241	88			PROPN
ejpam-5691	241	89			PART
ejpam-5691	241	90	⊕	⊕	NOUN
ejpam-5691	241	91			NOUN
ejpam-5691	242	1			VERB
ejpam-5691	242	2	3	3	NUM
ejpam-5691	242	3	√	√	PROPN
ejpam-5691	242	4	(	(	PUNCT
ejpam-5691	242	5	1+(g−1)(κ+	1+(g−1)(κ+	NOUN
ejpam-5691	242	6	2	2	NUM
ejpam-5691	242	7	)	)	PUNCT
ejpam-5691	242	8	3)g2−(1−(κ+	3)g2−(1−(κ+	NOUN
ejpam-5691	242	9	2	2	NUM
ejpam-5691	242	10	)	)	PUNCT
ejpam-5691	242	11	3)g2	3)g2	NUM
ejpam-5691	242	12	(	(	PUNCT
ejpam-5691	242	13	1+(g−1)(1−κ+	1+(g−1)(1−κ+	NUM
ejpam-5691	242	14	2	2	NUM
ejpam-5691	242	15	)	)	PUNCT
ejpam-5691	242	16	3)g2+(g−1)((1−κ+	3)g2+(g−1)((1−κ+	NUM
ejpam-5691	242	17	2	2	NUM
ejpam-5691	242	18	)	)	PUNCT
ejpam-5691	242	19	3)g2	3)g2	NUM
ejpam-5691	242	20	,	,	PUNCT
ejpam-5691	242	21	3	3	NUM
ejpam-5691	242	22	√	√	NUM
ejpam-5691	242	23	(	(	PUNCT
ejpam-5691	242	24	1+(g−1)(ς+2	1+(g−1)(ς+2	NUM
ejpam-5691	242	25	)	)	PUNCT
ejpam-5691	242	26	3)g2−(1−(ς+2	3)g2−(1−(ς+2	X
ejpam-5691	242	27	)	)	PUNCT
ejpam-5691	242	28	3)g2	3)g2	NUM
ejpam-5691	242	29	(	(	PUNCT
ejpam-5691	242	30	1+(g−1)(ς+2	1+(g−1)(ς+2	NUM
ejpam-5691	242	31	)	)	PUNCT
ejpam-5691	242	32	3)g2+(g−1)(1−(ς+2	3)g2+(g−1)(1−(ς+2	NUM
ejpam-5691	242	33	)	)	PUNCT
ejpam-5691	242	34	3)g2	3)g2	NUM
ejpam-5691	242	35			NOUN
ejpam-5691	242	36	,	,	PUNCT
ejpam-5691	242	37			NOUN
ejpam-5691	242	38	3	3	NUM
ejpam-5691	242	39	√	√	PROPN
ejpam-5691	242	40	g(υ−	g(υ−	PROPN
ejpam-5691	242	41	2	2	NUM
ejpam-5691	242	42	)	)	PUNCT
ejpam-5691	242	43	g2	g2	PROPN
ejpam-5691	242	44	3	3	NUM
ejpam-5691	242	45	√	√	PROPN
ejpam-5691	242	46	(	(	PUNCT
ejpam-5691	242	47	1+(g−1)(υ−	1+(g−1)(υ−	NUM
ejpam-5691	242	48	2	2	NUM
ejpam-5691	242	49	)	)	PUNCT
ejpam-5691	242	50	3)g2+(g−1)(1−(υ−	3)g2+(g−1)(1−(υ−	NOUN
ejpam-5691	242	51	2	2	NUM
ejpam-5691	242	52	)	)	PUNCT
ejpam-5691	242	53	3)g2	3)g2	NUM
ejpam-5691	242	54	,	,	PUNCT
ejpam-5691	242	55	3	3	NUM
ejpam-5691	242	56	√	√	NUM
ejpam-5691	242	57	g(ϑ−	g(ϑ−	PROPN
ejpam-5691	242	58	1	1	NUM
ejpam-5691	242	59	)	)	PUNCT
ejpam-5691	242	60	g2	g2	PROPN
ejpam-5691	242	61	3	3	NUM
ejpam-5691	242	62	√	√	INTJ
ejpam-5691	242	63	(	(	PUNCT
ejpam-5691	242	64	1+(g−1)(ϑ−	1+(g−1)(ϑ−	NUM
ejpam-5691	242	65	2	2	NUM
ejpam-5691	242	66	)	)	PUNCT
ejpam-5691	242	67	3)g2+(g−1)(1−(ϑ−	3)g2+(g−1)(1−(ϑ−	NUM
ejpam-5691	242	68	2	2	NUM
ejpam-5691	242	69	)	)	PUNCT
ejpam-5691	242	70	3)g2	3)g2	NUM
ejpam-5691	242	71			PROPN
ejpam-5691	242	72			PUNCT
ejpam-5691	242	73	since	since	SCONJ
ejpam-5691	242	74	l	l	NOUN
ejpam-5691	242	75	=	=	SYM
ejpam-5691	242	76	k	k	PROPN
ejpam-5691	242	77	bfhfwa(a1	bfhfwa(a1	PROPN
ejpam-5691	242	78	,	,	PUNCT
ejpam-5691	242	79	a2	a2	PROPN
ejpam-5691	242	80	,	,	PUNCT
ejpam-5691	242	81	...	...	PUNCT
ejpam-5691	242	82	,	,	PUNCT
ejpam-5691	242	83	al	al	PROPN
ejpam-5691	242	84	)	)	PUNCT
ejpam-5691	242	85	=	=	PUNCT
ejpam-5691	242	86	a.	a.	NOUN
ejpam-5691	242	87	fahmi	fahmi	PROPN
ejpam-5691	242	88	et	et	PROPN
ejpam-5691	242	89	al	al	PROPN
ejpam-5691	242	90	.	.	PUNCT
ejpam-5691	242	91	/	/	SYM
ejpam-5691	242	92	eur	eur	PROPN
ejpam-5691	242	93	.	.	PUNCT
ejpam-5691	243	1	j.	j.	PROPN
ejpam-5691	243	2	pure	pure	PROPN
ejpam-5691	243	3	appl	appl	PROPN
ejpam-5691	243	4	.	.	PROPN
ejpam-5691	243	5	math	math	PROPN
ejpam-5691	243	6	,	,	PUNCT
ejpam-5691	243	7	18	18	NUM
ejpam-5691	243	8	(	(	PUNCT
ejpam-5691	243	9	1	1	NUM
ejpam-5691	243	10	)	)	PUNCT
ejpam-5691	243	11	(	(	PUNCT
ejpam-5691	243	12	2025	2025	NUM
ejpam-5691	243	13	)	)	PUNCT
ejpam-5691	243	14	,	,	PUNCT
ejpam-5691	243	15	5691	5691	NUM
ejpam-5691	243	16	12	12	NUM
ejpam-5691	243	17	of	of	ADP
ejpam-5691	243	18	32	32	PROPN
ejpam-5691	243	19			NOUN
ejpam-5691	243	20	3	3	NUM
ejpam-5691	243	21	√√√√√√√√	√√√√√√√√	ADP
ejpam-5691	243	22	k∏	k∏	PROPN
ejpam-5691	243	23	j=1	j=1	NOUN
ejpam-5691	243	24	(	(	PUNCT
ejpam-5691	243	25	1+(g−1)(κ+	1+(g−1)(κ+	NUM
ejpam-5691	243	26	j	j	NOUN
ejpam-5691	243	27	)	)	PUNCT
ejpam-5691	243	28	3)g−	3)g−	NUM
ejpam-5691	243	29	k∏	k∏	PROPN
ejpam-5691	243	30	j=1	j=1	NOUN
ejpam-5691	243	31	(	(	PUNCT
ejpam-5691	243	32	1−(κ+	1−(κ+	NUM
ejpam-5691	243	33	j	j	NOUN
ejpam-5691	243	34	)	)	PUNCT
ejpam-5691	243	35	3)g	3)g	NUM
ejpam-5691	244	1	k∏	k∏	PROPN
ejpam-5691	244	2	j=1	j=1	NOUN
ejpam-5691	244	3	(	(	PUNCT
ejpam-5691	244	4	1+(g−1)(1−κ+	1+(g−1)(1−κ+	NUM
ejpam-5691	244	5	j	j	NOUN
ejpam-5691	244	6	)	)	PUNCT
ejpam-5691	244	7	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	244	8	)	)	PUNCT
ejpam-5691	244	9	k∏	k∏	PROPN
ejpam-5691	244	10	j=1	j=1	NOUN
ejpam-5691	244	11	(	(	PUNCT
ejpam-5691	244	12	(	(	PUNCT
ejpam-5691	244	13	1−κ+	1−κ+	NUM
ejpam-5691	244	14	j	j	NOUN
ejpam-5691	244	15	)	)	PUNCT
ejpam-5691	244	16	3)g	3)g	NUM
ejpam-5691	244	17	,	,	PUNCT
ejpam-5691	244	18	3	3	NUM
ejpam-5691	244	19	√√√√√√√√	√√√√√√√√	ADP
ejpam-5691	244	20	k∏	k∏	PROPN
ejpam-5691	244	21	j=1	j=1	PROPN
ejpam-5691	244	22	(	(	PUNCT
ejpam-5691	244	23	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	244	24	)	)	PUNCT
ejpam-5691	244	25	3)g−	3)g−	NUM
ejpam-5691	244	26	k∏	k∏	PROPN
ejpam-5691	244	27	j=1	j=1	NOUN
ejpam-5691	244	28	(	(	PUNCT
ejpam-5691	244	29	1−(ς+j	1−(ς+j	NUM
ejpam-5691	244	30	)	)	PUNCT
ejpam-5691	244	31	3)g	3)g	NUM
ejpam-5691	245	1	k∏	k∏	PROPN
ejpam-5691	245	2	j=1	j=1	NOUN
ejpam-5691	245	3	(	(	PUNCT
ejpam-5691	245	4	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	245	5	)	)	PUNCT
ejpam-5691	245	6	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	245	7	)	)	PUNCT
ejpam-5691	245	8	k∏	k∏	PROPN
ejpam-5691	245	9	j=1	j=1	NOUN
ejpam-5691	245	10	(	(	PUNCT
ejpam-5691	245	11	1−(ς+j	1−(ς+j	NUM
ejpam-5691	245	12	)	)	PUNCT
ejpam-5691	245	13	3)g	3)g	NUM
ejpam-5691	245	14			NOUN
ejpam-5691	245	15	,	,	PUNCT
ejpam-5691	245	16			NOUN
ejpam-5691	245	17	3	3	NUM
ejpam-5691	245	18	√	√	NOUN
ejpam-5691	245	19	g	g	PROPN
ejpam-5691	245	20	k∏	k∏	PROPN
ejpam-5691	245	21	j=1	j=1	PROPN
ejpam-5691	245	22	(	(	PUNCT
ejpam-5691	245	23	υ−	υ−	PROPN
ejpam-5691	245	24	j	j	PROPN
ejpam-5691	245	25	)	)	PUNCT
ejpam-5691	245	26	g	g	ADP
ejpam-5691	245	27	3	3	NUM
ejpam-5691	245	28	√√√√√	√√√√√	ADP
ejpam-5691	245	29	k∏	k∏	PROPN
ejpam-5691	245	30	j=1	j=1	NOUN
ejpam-5691	245	31	(	(	PUNCT
ejpam-5691	245	32	1+(g−1)(υ−	1+(g−1)(υ−	NUM
ejpam-5691	245	33	j	j	PROPN
ejpam-5691	245	34	)	)	PUNCT
ejpam-5691	245	35	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	245	36	)	)	PUNCT
ejpam-5691	245	37	k∏	k∏	PROPN
ejpam-5691	245	38	j=1	j=1	NOUN
ejpam-5691	245	39	(	(	PUNCT
ejpam-5691	245	40	1−(υ−	1−(υ−	NUM
ejpam-5691	245	41	j	j	PROPN
ejpam-5691	245	42	)	)	PUNCT
ejpam-5691	245	43	3)g	3)g	NUM
ejpam-5691	245	44	,	,	PUNCT
ejpam-5691	245	45	3	3	NUM
ejpam-5691	245	46	√	√	PROPN
ejpam-5691	245	47	g	g	PROPN
ejpam-5691	245	48	k∏	k∏	PROPN
ejpam-5691	245	49	j=1	j=1	NOUN
ejpam-5691	245	50	(	(	PUNCT
ejpam-5691	245	51	ϑ−	ϑ−	PROPN
ejpam-5691	245	52	j	j	NOUN
ejpam-5691	245	53	)	)	PUNCT
ejpam-5691	245	54	g	g	ADP
ejpam-5691	245	55	3	3	NUM
ejpam-5691	245	56	√√√√√	√√√√√	ADP
ejpam-5691	245	57	k∏	k∏	PROPN
ejpam-5691	245	58	j=1	j=1	NOUN
ejpam-5691	245	59	(	(	PUNCT
ejpam-5691	245	60	1+(g−1)(ϑ−	1+(g−1)(ϑ−	NUM
ejpam-5691	245	61	j	j	PROPN
ejpam-5691	245	62	)	)	PUNCT
ejpam-5691	245	63	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	245	64	)	)	PUNCT
ejpam-5691	245	65	k∏	k∏	PROPN
ejpam-5691	245	66	j=1	j=1	NOUN
ejpam-5691	245	67	(	(	PUNCT
ejpam-5691	245	68	1−(ϑ−	1−(ϑ−	NUM
ejpam-5691	245	69	j	j	NOUN
ejpam-5691	245	70	)	)	PUNCT
ejpam-5691	245	71	3)g	3)g	NUM
ejpam-5691	245	72			NOUN
ejpam-5691	245	73			NUM
ejpam-5691	245	74	since	since	SCONJ
ejpam-5691	245	75	l	l	NOUN
ejpam-5691	245	76	=	=	PUNCT
ejpam-5691	246	1	k	k	X
ejpam-5691	246	2	+	+	PROPN
ejpam-5691	246	3	1	1	NUM
ejpam-5691	246	4	bfhfwa(a1	bfhfwa(a1	X
ejpam-5691	246	5	,	,	PUNCT
ejpam-5691	246	6	a2	a2	PROPN
ejpam-5691	246	7	,	,	PUNCT
ejpam-5691	246	8	...	...	PUNCT
ejpam-5691	246	9	,	,	PUNCT
ejpam-5691	246	10	al	al	PROPN
ejpam-5691	246	11	)	)	PUNCT
ejpam-5691	246	12	=	=	NOUN
ejpam-5691	246	13			NOUN
ejpam-5691	246	14			NOUN
ejpam-5691	246	15	3	3	NUM
ejpam-5691	246	16	√√√√√√√√	√√√√√√√√	NOUN
ejpam-5691	246	17	k+1∏	k+1∏	NOUN
ejpam-5691	246	18	j=1	j=1	PROPN
ejpam-5691	247	1	(	(	PUNCT
ejpam-5691	247	2	1+(g−1)(κ+	1+(g−1)(κ+	NUM
ejpam-5691	247	3	j	j	PROPN
ejpam-5691	247	4	)	)	PUNCT
ejpam-5691	247	5	3)g−	3)g−	NUM
ejpam-5691	247	6	k+1∏	k+1∏	NOUN
ejpam-5691	247	7	j=1	j=1	NOUN
ejpam-5691	248	1	(	(	PUNCT
ejpam-5691	248	2	1−(κ+	1−(κ+	NUM
ejpam-5691	248	3	j	j	NOUN
ejpam-5691	248	4	)	)	PUNCT
ejpam-5691	248	5	3)g	3)g	NUM
ejpam-5691	248	6	k+1∏	k+1∏	NOUN
ejpam-5691	249	1	j=1	j=1	NOUN
ejpam-5691	249	2	(	(	PUNCT
ejpam-5691	249	3	1+(g−1)(1−κ+	1+(g−1)(1−κ+	NUM
ejpam-5691	249	4	j	j	NOUN
ejpam-5691	249	5	)	)	PUNCT
ejpam-5691	249	6	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	249	7	)	)	PUNCT
ejpam-5691	249	8	k+1∏	k+1∏	NOUN
ejpam-5691	249	9	j=1	j=1	NOUN
ejpam-5691	249	10	(	(	PUNCT
ejpam-5691	249	11	(	(	PUNCT
ejpam-5691	249	12	1−κ+	1−κ+	NUM
ejpam-5691	249	13	j	j	NOUN
ejpam-5691	249	14	)	)	PUNCT
ejpam-5691	249	15	3)g	3)g	NUM
ejpam-5691	249	16	,	,	PUNCT
ejpam-5691	249	17	3	3	NUM
ejpam-5691	249	18	√√√√√√√√	√√√√√√√√	NOUN
ejpam-5691	249	19	k+1∏	k+1∏	NOUN
ejpam-5691	249	20	j=1	j=1	PROPN
ejpam-5691	249	21	(	(	PUNCT
ejpam-5691	249	22	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	249	23	)	)	PUNCT
ejpam-5691	249	24	3)g−	3)g−	NUM
ejpam-5691	249	25	k+1∏	k+1∏	NOUN
ejpam-5691	249	26	j=1	j=1	NOUN
ejpam-5691	249	27	(	(	PUNCT
ejpam-5691	249	28	1−(ς+j	1−(ς+j	NUM
ejpam-5691	249	29	)	)	PUNCT
ejpam-5691	249	30	3)g	3)g	NUM
ejpam-5691	249	31	k+1∏	k+1∏	NOUN
ejpam-5691	250	1	j=1	j=1	NOUN
ejpam-5691	250	2	(	(	PUNCT
ejpam-5691	250	3	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	250	4	)	)	PUNCT
ejpam-5691	250	5	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	250	6	)	)	PUNCT
ejpam-5691	250	7	k+1∏	k+1∏	NOUN
ejpam-5691	250	8	j=1	j=1	NOUN
ejpam-5691	250	9	(	(	PUNCT
ejpam-5691	250	10	1−(ς+j	1−(ς+j	NUM
ejpam-5691	250	11	)	)	PUNCT
ejpam-5691	250	12	3)g	3)g	NUM
ejpam-5691	250	13			NOUN
ejpam-5691	250	14	,	,	PUNCT
ejpam-5691	250	15			NOUN
ejpam-5691	250	16	3	3	NUM
ejpam-5691	250	17	√	√	NOUN
ejpam-5691	250	18	g	g	NOUN
ejpam-5691	250	19	k+1∏	k+1∏	NOUN
ejpam-5691	250	20	j=1	j=1	PROPN
ejpam-5691	250	21	(	(	PUNCT
ejpam-5691	250	22	υ−	υ−	PROPN
ejpam-5691	250	23	j	j	PROPN
ejpam-5691	250	24	)	)	PUNCT
ejpam-5691	250	25	g	g	PROPN
ejpam-5691	250	26	3	3	NUM
ejpam-5691	250	27	√√√√√k+1∏	√√√√√k+1∏	NOUN
ejpam-5691	250	28	j=1	j=1	NOUN
ejpam-5691	250	29	(	(	PUNCT
ejpam-5691	250	30	1+(g−1)(υ−	1+(g−1)(υ−	NUM
ejpam-5691	250	31	j	j	PROPN
ejpam-5691	250	32	)	)	PUNCT
ejpam-5691	250	33	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	250	34	)	)	PUNCT
ejpam-5691	250	35	k+1∏	k+1∏	NOUN
ejpam-5691	250	36	j=1	j=1	NOUN
ejpam-5691	250	37	(	(	PUNCT
ejpam-5691	250	38	1−(υ−	1−(υ−	NUM
ejpam-5691	250	39	j	j	PROPN
ejpam-5691	250	40	)	)	PUNCT
ejpam-5691	250	41	3)g	3)g	NUM
ejpam-5691	250	42	,	,	PUNCT
ejpam-5691	250	43	3	3	NUM
ejpam-5691	250	44	√	√	PROPN
ejpam-5691	250	45	g	g	NOUN
ejpam-5691	250	46	k+1∏	k+1∏	NOUN
ejpam-5691	250	47	j=1	j=1	PROPN
ejpam-5691	250	48	(	(	PUNCT
ejpam-5691	250	49	ϑ−	ϑ−	PROPN
ejpam-5691	250	50	j	j	NOUN
ejpam-5691	250	51	)	)	PUNCT
ejpam-5691	250	52	g	g	PROPN
ejpam-5691	250	53	3	3	NUM
ejpam-5691	250	54	√√√√√k+1∏	√√√√√k+1∏	NOUN
ejpam-5691	250	55	j=1	j=1	NOUN
ejpam-5691	250	56	(	(	PUNCT
ejpam-5691	250	57	1+(g−1)(ϑ−	1+(g−1)(ϑ−	NUM
ejpam-5691	250	58	j	j	PROPN
ejpam-5691	250	59	)	)	PUNCT
ejpam-5691	250	60	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	250	61	)	)	PUNCT
ejpam-5691	250	62	k+1∏	k+1∏	NOUN
ejpam-5691	250	63	j=1	j=1	NOUN
ejpam-5691	250	64	(	(	PUNCT
ejpam-5691	250	65	1−(ϑ−	1−(ϑ−	NUM
ejpam-5691	250	66	j	j	NOUN
ejpam-5691	250	67	)	)	PUNCT
ejpam-5691	250	68	3)g	3)g	NUM
ejpam-5691	250	69			NOUN
ejpam-5691	250	70			NUM
ejpam-5691	250	71	theorem	theorem	NOUN
ejpam-5691	250	72	2	2	NUM
ejpam-5691	250	73	.	.	PUNCT
ejpam-5691	250	74	(	(	PUNCT
ejpam-5691	250	75	idempotency):if	idempotency):if	ADP
ejpam-5691	250	76	ṽ	ṽ	NOUN
ejpam-5691	250	77	=	=	SYM
ejpam-5691	250	78	{	{	PUNCT
ejpam-5691	250	79	[	[	X
ejpam-5691	250	80	q+	q+	NOUN
ejpam-5691	250	81	,	,	PUNCT
ejpam-5691	250	82	ς+	ς+	NOUN
ejpam-5691	250	83	]	]	PUNCT
ejpam-5691	250	84	,	,	PUNCT
ejpam-5691	250	85	[	[	X
ejpam-5691	250	86	q−	q−	PROPN
ejpam-5691	250	87	,	,	PUNCT
ejpam-5691	250	88	ϑ−	ϑ−	PROPN
ejpam-5691	250	89	]	]	PUNCT
ejpam-5691	250	90	}	}	PUNCT
ejpam-5691	250	91	for	for	ADP
ejpam-5691	250	92	all	all	DET
ejpam-5691	250	93	p	p	NOUN
ejpam-5691	250	94	=	=	ADJ
ejpam-5691	250	95	1	1	NUM
ejpam-5691	250	96	,	,	PUNCT
ejpam-5691	250	97	2	2	NUM
ejpam-5691	250	98	,	,	PUNCT
ejpam-5691	250	99	3	3	NUM
ejpam-5691	250	100	,	,	PUNCT
ejpam-5691	250	101	...	...	PUNCT
ejpam-5691	250	102	,	,	PUNCT
ejpam-5691	250	103	m	m	PROPN
ejpam-5691	250	104	,	,	PUNCT
ejpam-5691	250	105	then	then	ADV
ejpam-5691	250	106	a.	a.	PROPN
ejpam-5691	250	107	fahmi	fahmi	PROPN
ejpam-5691	250	108	et	et	PROPN
ejpam-5691	250	109	al	al	PROPN
ejpam-5691	250	110	.	.	PUNCT
ejpam-5691	250	111	/	/	SYM
ejpam-5691	250	112	eur	eur	PROPN
ejpam-5691	250	113	.	.	PUNCT
ejpam-5691	251	1	j.	j.	PROPN
ejpam-5691	251	2	pure	pure	PROPN
ejpam-5691	251	3	appl	appl	PROPN
ejpam-5691	251	4	.	.	PROPN
ejpam-5691	251	5	math	math	PROPN
ejpam-5691	251	6	,	,	PUNCT
ejpam-5691	251	7	18	18	NUM
ejpam-5691	251	8	(	(	PUNCT
ejpam-5691	251	9	1	1	NUM
ejpam-5691	251	10	)	)	PUNCT
ejpam-5691	251	11	(	(	PUNCT
ejpam-5691	251	12	2025	2025	NUM
ejpam-5691	251	13	)	)	PUNCT
ejpam-5691	251	14	,	,	PUNCT
ejpam-5691	251	15	5691	5691	NUM
ejpam-5691	251	16	13	13	NUM
ejpam-5691	251	17	of	of	ADP
ejpam-5691	251	18	32	32	NUM
ejpam-5691	251	19	bfhfwa(v	bfhfwa(v	PROPN
ejpam-5691	251	20	,	,	PUNCT
ejpam-5691	251	21	v	v	NOUN
ejpam-5691	251	22	,	,	PUNCT
ejpam-5691	251	23	v	v	NOUN
ejpam-5691	251	24	,	,	PUNCT
ejpam-5691	251	25	...	...	PUNCT
ejpam-5691	251	26	,	,	PUNCT
ejpam-5691	251	27	v	v	NOUN
ejpam-5691	251	28	)	)	PUNCT
ejpam-5691	251	29	=	=	PUNCT
ejpam-5691	252	1	v.	v.	ADP
ejpam-5691	252	2	proof	proof	NOUN
ejpam-5691	252	3	.	.	PUNCT
ejpam-5691	253	1	since	since	SCONJ
ejpam-5691	253	2	ṽp	ṽp	NOUN
ejpam-5691	253	3	=	=	PROPN
ejpam-5691	253	4	ṽ	ṽ	PROPN
ejpam-5691	253	5	are	be	AUX
ejpam-5691	253	6	equal	equal	ADJ
ejpam-5691	253	7	to	to	ADP
ejpam-5691	253	8	{	{	PUNCT
ejpam-5691	253	9	[	[	X
ejpam-5691	253	10	q+	q+	ADP
ejpam-5691	253	11	,	,	PUNCT
ejpam-5691	253	12	ς+	ς+	NOUN
ejpam-5691	253	13	]	]	PUNCT
ejpam-5691	253	14	,	,	PUNCT
ejpam-5691	253	15	[	[	X
ejpam-5691	253	16	q−	q−	PROPN
ejpam-5691	253	17	,	,	PUNCT
ejpam-5691	253	18	ϑ−	ϑ−	PROPN
ejpam-5691	253	19	]	]	PUNCT
ejpam-5691	253	20	}	}	PUNCT
ejpam-5691	253	21	for	for	ADP
ejpam-5691	253	22	p	p	NOUN
ejpam-5691	253	23	=	=	SYM
ejpam-5691	253	24	1	1	NUM
ejpam-5691	253	25	,	,	PUNCT
ejpam-5691	253	26	2	2	NUM
ejpam-5691	253	27	,	,	PUNCT
ejpam-5691	253	28	3	3	NUM
ejpam-5691	253	29	,	,	PUNCT
ejpam-5691	253	30	...	...	PUNCT
ejpam-5691	253	31	,	,	PUNCT
ejpam-5691	253	32	m	m	PROPN
ejpam-5691	253	33	,	,	PUNCT
ejpam-5691	253	34	then	then	ADV
ejpam-5691	253	35	bfhfwa(v	bfhfwa(v	PROPN
ejpam-5691	253	36	,	,	PUNCT
ejpam-5691	253	37	v	v	NOUN
ejpam-5691	253	38	,	,	PUNCT
ejpam-5691	253	39	v	v	NOUN
ejpam-5691	253	40	,	,	PUNCT
ejpam-5691	253	41	...	...	PUNCT
ejpam-5691	253	42	,	,	PUNCT
ejpam-5691	253	43	v	v	X
ejpam-5691	253	44	)	)	PUNCT
ejpam-5691	253	45	=	=	SYM
ejpam-5691	253	46			NOUN
ejpam-5691	253	47			VERB
ejpam-5691	253	48	3	3	NUM
ejpam-5691	253	49	√√√√√√√	√√√√√√√	PROPN
ejpam-5691	253	50	m∏	m∏	PROPN
ejpam-5691	253	51	j=1	j=1	NOUN
ejpam-5691	253	52	(	(	PUNCT
ejpam-5691	253	53	1+(g−1)(q+j	1+(g−1)(q+j	PROPN
ejpam-5691	253	54	)	)	PUNCT
ejpam-5691	253	55	3)g−	3)g−	NUM
ejpam-5691	253	56	m∏	m∏	PROPN
ejpam-5691	253	57	j=1	j=1	NOUN
ejpam-5691	253	58	(	(	PUNCT
ejpam-5691	253	59	1−(q+j	1−(q+j	X
ejpam-5691	253	60	)	)	PUNCT
ejpam-5691	253	61	3)g	3)g	NUM
ejpam-5691	254	1	m∏	m∏	PROPN
ejpam-5691	254	2	j=1	j=1	NOUN
ejpam-5691	254	3	(	(	PUNCT
ejpam-5691	254	4	1+(g−1)(1−q+j	1+(g−1)(1−q+j	X
ejpam-5691	254	5	)	)	PUNCT
ejpam-5691	254	6	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	254	7	)	)	PUNCT
ejpam-5691	254	8	m∏	m∏	NOUN
ejpam-5691	254	9	j=1	j=1	NOUN
ejpam-5691	254	10	(	(	PUNCT
ejpam-5691	254	11	(	(	PUNCT
ejpam-5691	254	12	1−q+j	1−q+j	NUM
ejpam-5691	254	13	)	)	PUNCT
ejpam-5691	254	14	3)g	3)g	NUM
ejpam-5691	254	15	,	,	PUNCT
ejpam-5691	254	16	3	3	NUM
ejpam-5691	254	17	√√√√√√√	√√√√√√√	NOUN
ejpam-5691	254	18	m∏	m∏	PROPN
ejpam-5691	254	19	j=1	j=1	NOUN
ejpam-5691	254	20	(	(	PUNCT
ejpam-5691	254	21	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	254	22	)	)	PUNCT
ejpam-5691	254	23	3)g−	3)g−	NUM
ejpam-5691	254	24	m∏	m∏	PROPN
ejpam-5691	254	25	j=1	j=1	NOUN
ejpam-5691	254	26	(	(	PUNCT
ejpam-5691	254	27	1−(ς+j	1−(ς+j	NUM
ejpam-5691	254	28	)	)	PUNCT
ejpam-5691	254	29	3)g	3)g	NUM
ejpam-5691	255	1	m∏	m∏	NOUN
ejpam-5691	255	2	j=1	j=1	NOUN
ejpam-5691	255	3	(	(	PUNCT
ejpam-5691	255	4	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	255	5	)	)	PUNCT
ejpam-5691	255	6	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	255	7	)	)	PUNCT
ejpam-5691	255	8	m∏	m∏	NOUN
ejpam-5691	255	9	j=1	j=1	NOUN
ejpam-5691	255	10	(	(	PUNCT
ejpam-5691	255	11	1−(ς+j	1−(ς+j	NUM
ejpam-5691	255	12	)	)	PUNCT
ejpam-5691	255	13	3)g	3)g	NUM
ejpam-5691	255	14			NOUN
ejpam-5691	255	15	,	,	PUNCT
ejpam-5691	255	16			NOUN
ejpam-5691	255	17	3	3	NUM
ejpam-5691	255	18	√	√	PROPN
ejpam-5691	255	19	g	g	PROPN
ejpam-5691	255	20	m∏	m∏	PROPN
ejpam-5691	255	21	j=1	j=1	NOUN
ejpam-5691	255	22	(	(	PUNCT
ejpam-5691	255	23	q−j	q−j	NOUN
ejpam-5691	255	24	)	)	PUNCT
ejpam-5691	255	25	g	g	ADP
ejpam-5691	255	26	3	3	NUM
ejpam-5691	255	27	√√√√	√√√√	NOUN
ejpam-5691	255	28	m∏	m∏	PROPN
ejpam-5691	255	29	j=1	j=1	NOUN
ejpam-5691	255	30	(	(	PUNCT
ejpam-5691	255	31	1+(g−1)(q−j	1+(g−1)(q−j	NUM
ejpam-5691	255	32	)	)	PUNCT
ejpam-5691	255	33	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	255	34	)	)	PUNCT
ejpam-5691	255	35	m∏	m∏	PROPN
ejpam-5691	255	36	j=1	j=1	NOUN
ejpam-5691	255	37	(	(	PUNCT
ejpam-5691	255	38	1−(q−j	1−(q−j	NUM
ejpam-5691	255	39	)	)	PUNCT
ejpam-5691	255	40	3)g	3)g	NUM
ejpam-5691	255	41	,	,	PUNCT
ejpam-5691	255	42	3	3	NUM
ejpam-5691	255	43	√	√	PROPN
ejpam-5691	255	44	g	g	PROPN
ejpam-5691	255	45	m∏	m∏	PROPN
ejpam-5691	255	46	j=1	j=1	NOUN
ejpam-5691	255	47	(	(	PUNCT
ejpam-5691	255	48	ϑ−	ϑ−	PROPN
ejpam-5691	255	49	j	j	NOUN
ejpam-5691	255	50	)	)	PUNCT
ejpam-5691	255	51	g	g	ADP
ejpam-5691	255	52	3	3	NUM
ejpam-5691	255	53	√√√√	√√√√	NOUN
ejpam-5691	255	54	m∏	m∏	PROPN
ejpam-5691	255	55	j=1	j=1	NOUN
ejpam-5691	255	56	(	(	PUNCT
ejpam-5691	255	57	1+(g−1)(ϑ−	1+(g−1)(ϑ−	NUM
ejpam-5691	255	58	j	j	PROPN
ejpam-5691	255	59	)	)	PUNCT
ejpam-5691	255	60	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	255	61	)	)	PUNCT
ejpam-5691	255	62	m∏	m∏	NOUN
ejpam-5691	255	63	j=1	j=1	NOUN
ejpam-5691	255	64	(	(	PUNCT
ejpam-5691	255	65	1−(ϑ−	1−(ϑ−	NUM
ejpam-5691	255	66	j	j	NOUN
ejpam-5691	255	67	)	)	PUNCT
ejpam-5691	255	68	3)g	3)g	NUM
ejpam-5691	255	69			NOUN
ejpam-5691	255	70			NUM
ejpam-5691	255	71	=	=	SYM
ejpam-5691	255	72			NOUN
ejpam-5691	255	73			NOUN
ejpam-5691	255	74	3	3	NUM
ejpam-5691	255	75	√	√	PROPN
ejpam-5691	255	76	(	(	PUNCT
ejpam-5691	255	77	1+(g−1)(q+j	1+(g−1)(q+j	PROPN
ejpam-5691	255	78	)	)	PUNCT
ejpam-5691	255	79	3)g−(1−(q+j	3)g−(1−(q+j	NUM
ejpam-5691	255	80	)	)	PUNCT
ejpam-5691	255	81	3)g	3)g	NUM
ejpam-5691	255	82	(	(	PUNCT
ejpam-5691	255	83	1+(g−1)(1−q+j	1+(g−1)(1−q+j	X
ejpam-5691	255	84	)	)	PUNCT
ejpam-5691	255	85	3)g+(g−1)((1−q+j	3)g+(g−1)((1−q+j	NUM
ejpam-5691	255	86	)	)	PUNCT
ejpam-5691	255	87	3)g	3)g	NUM
ejpam-5691	255	88	,	,	PUNCT
ejpam-5691	255	89	3	3	NUM
ejpam-5691	255	90	√	√	NUM
ejpam-5691	255	91	(	(	PUNCT
ejpam-5691	255	92	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	255	93	)	)	PUNCT
ejpam-5691	255	94	3)g−(1−(ς+j	3)g−(1−(ς+j	NUM
ejpam-5691	255	95	)	)	PUNCT
ejpam-5691	255	96	3)g	3)g	NUM
ejpam-5691	255	97	(	(	PUNCT
ejpam-5691	255	98	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	255	99	)	)	PUNCT
ejpam-5691	255	100	3)g+(g−1)(1−(ς+j	3)g+(g−1)(1−(ς+j	NUM
ejpam-5691	255	101	)	)	PUNCT
ejpam-5691	255	102	3)g	3)g	NUM
ejpam-5691	255	103			NOUN
ejpam-5691	255	104	,	,	PUNCT
ejpam-5691	255	105			PROPN
ejpam-5691	255	106	3	3	NUM
ejpam-5691	255	107	√	√	NOUN
ejpam-5691	255	108	g(q−j	g(q−j	PROPN
ejpam-5691	255	109	)	)	PUNCT
ejpam-5691	255	110	g	g	PROPN
ejpam-5691	255	111	3	3	NUM
ejpam-5691	255	112	√	√	PROPN
ejpam-5691	255	113	(	(	PUNCT
ejpam-5691	255	114	1+(g−1)(q−j	1+(g−1)(q−j	NUM
ejpam-5691	255	115	)	)	PUNCT
ejpam-5691	255	116	3)g+(g−1)(1−(q−j	3)g+(g−1)(1−(q−j	NUM
ejpam-5691	255	117	)	)	PUNCT
ejpam-5691	255	118	3)g	3)g	NUM
ejpam-5691	255	119	,	,	PUNCT
ejpam-5691	255	120	3	3	NUM
ejpam-5691	255	121	√	√	NUM
ejpam-5691	255	122	g(ϑ−	g(ϑ−	PROPN
ejpam-5691	255	123	j	j	PROPN
ejpam-5691	255	124	)	)	PUNCT
ejpam-5691	256	1	g	g	ADP
ejpam-5691	256	2	3	3	NUM
ejpam-5691	256	3	√	√	PROPN
ejpam-5691	256	4	(	(	PUNCT
ejpam-5691	256	5	1+(g−1)(ϑ−	1+(g−1)(ϑ−	NUM
ejpam-5691	256	6	j	j	NOUN
ejpam-5691	256	7	)	)	PUNCT
ejpam-5691	256	8	3)g+(g−1)(1−(ϑ−	3)g+(g−1)(1−(ϑ−	NUM
ejpam-5691	256	9	j	j	PROPN
ejpam-5691	256	10	)	)	PUNCT
ejpam-5691	256	11	3)g	3)g	NUM
ejpam-5691	256	12			NOUN
ejpam-5691	256	13			NOUN
ejpam-5691	256	14	=	=	PUNCT
ejpam-5691	256	15	{	{	PUNCT
ejpam-5691	257	1	[	[	X
ejpam-5691	257	2	q+	q+	NOUN
ejpam-5691	257	3	,	,	PUNCT
ejpam-5691	257	4	ς+	ς+	NOUN
ejpam-5691	257	5	]	]	PUNCT
ejpam-5691	257	6	,	,	PUNCT
ejpam-5691	257	7	[	[	X
ejpam-5691	257	8	q−	q−	PROPN
ejpam-5691	257	9	,	,	PUNCT
ejpam-5691	257	10	ϑ−	ϑ−	PROPN
ejpam-5691	257	11	]	]	PUNCT
ejpam-5691	257	12	}	}	PUNCT
ejpam-5691	257	13	=	=	SYM
ejpam-5691	257	14	ṽ	ṽ	PROPN
ejpam-5691	257	15	bfhfwa(v	bfhfwa(v	PROPN
ejpam-5691	257	16	,	,	PUNCT
ejpam-5691	257	17	v	v	NOUN
ejpam-5691	257	18	,	,	PUNCT
ejpam-5691	257	19	v	v	NOUN
ejpam-5691	257	20	,	,	PUNCT
ejpam-5691	257	21	...	...	PUNCT
ejpam-5691	257	22	,	,	PUNCT
ejpam-5691	257	23	v	v	X
ejpam-5691	257	24	)	)	PUNCT
ejpam-5691	257	25	=	=	SYM
ejpam-5691	257	26	ṽ	ṽ	PROPN
ejpam-5691	257	27	theorem	theorem	VERB
ejpam-5691	257	28	3	3	NUM
ejpam-5691	257	29	.	.	PUNCT
ejpam-5691	257	30	(	(	PUNCT
ejpam-5691	257	31	boundedness):if	boundedness):if	VERB
ejpam-5691	257	32	y	y	NOUN
ejpam-5691	257	33	−	−	PROPN
ejpam-5691	257	34	=	=	SYM
ejpam-5691	257	35	min(y1	min(y1	PROPN
ejpam-5691	257	36	,	,	PUNCT
ejpam-5691	257	37	y2	y2	PROPN
ejpam-5691	257	38	,	,	PUNCT
ejpam-5691	257	39	...	...	PUNCT
ejpam-5691	257	40	,	,	PUNCT
ejpam-5691	257	41	yn	yn	PROPN
ejpam-5691	257	42	)	)	PUNCT
ejpam-5691	257	43	,	,	PUNCT
ejpam-5691	257	44	y	y	PROPN
ejpam-5691	257	45	+	+	CCONJ
ejpam-5691	257	46	=	=	SYM
ejpam-5691	257	47	max(y1	max(y1	PROPN
ejpam-5691	257	48	,	,	PUNCT
ejpam-5691	257	49	y2	y2	PROPN
ejpam-5691	257	50	,	,	PUNCT
ejpam-5691	257	51	...	...	PUNCT
ejpam-5691	257	52	,	,	PUNCT
ejpam-5691	257	53	yn	yn	PROPN
ejpam-5691	257	54	)	)	PUNCT
ejpam-5691	257	55	,	,	PUNCT
ejpam-5691	257	56	then	then	ADV
ejpam-5691	257	57	y	y	PROPN
ejpam-5691	257	58	−	−	PROPN
ejpam-5691	257	59	≤bfhfwa(y1	≤bfhfwa(y1	PROPN
ejpam-5691	257	60	,	,	PUNCT
ejpam-5691	257	61	y2	y2	PROPN
ejpam-5691	257	62	,	,	PUNCT
ejpam-5691	257	63	...	...	PUNCT
ejpam-5691	257	64	,	,	PUNCT
ejpam-5691	257	65	yn	yn	PROPN
ejpam-5691	257	66	)	)	PUNCT
ejpam-5691	257	67	≤	≤	PUNCT
ejpam-5691	258	1	y	y	PROPN
ejpam-5691	258	2	+	+	PROPN
ejpam-5691	258	3	.	.	PUNCT
ejpam-5691	258	4	proof	proof	NOUN
ejpam-5691	258	5	.	.	PUNCT
ejpam-5691	259	1	let	let	VERB
ejpam-5691	259	2	y	y	NOUN
ejpam-5691	259	3	=	=	PUNCT
ejpam-5691	259	4	{	{	PUNCT
ejpam-5691	260	1	[	[	X
ejpam-5691	260	2	q+	q+	ADP
ejpam-5691	260	3	,	,	PUNCT
ejpam-5691	260	4	ς+	ς+	NOUN
ejpam-5691	260	5	]	]	PUNCT
ejpam-5691	260	6	,	,	PUNCT
ejpam-5691	260	7	[	[	X
ejpam-5691	260	8	q−	q−	PROPN
ejpam-5691	260	9	,	,	PUNCT
ejpam-5691	260	10	ϑ−	ϑ−	PROPN
ejpam-5691	260	11	]	]	PUNCT
ejpam-5691	260	12	}	}	PUNCT
ejpam-5691	260	13	be	be	AUX
ejpam-5691	260	14	the	the	DET
ejpam-5691	260	15	accumulation	accumulation	NOUN
ejpam-5691	260	16	of	of	ADP
ejpam-5691	260	17	bffns	bffns	NOUN
ejpam-5691	260	18	y	y	PROPN
ejpam-5691	260	19	−	−	PROPN
ejpam-5691	260	20	=	=	SYM
ejpam-5691	260	21	min(y1	min(y1	PROPN
ejpam-5691	260	22	,	,	PUNCT
ejpam-5691	260	23	y2	y2	PROPN
ejpam-5691	260	24	,	,	PUNCT
ejpam-5691	260	25	...	...	PUNCT
ejpam-5691	260	26	,	,	PUNCT
ejpam-5691	260	27	yn	yn	PROPN
ejpam-5691	260	28	)	)	PUNCT
ejpam-5691	260	29	=	=	PRON
ejpam-5691	260	30	{	{	PUNCT
ejpam-5691	261	1	[	[	X
ejpam-5691	261	2	q+	q+	ADP
ejpam-5691	261	3	,	,	PUNCT
ejpam-5691	261	4	ς+	ς+	NOUN
ejpam-5691	261	5	]	]	PUNCT
ejpam-5691	261	6	,	,	PUNCT
ejpam-5691	262	1	[	[	X
ejpam-5691	262	2	q−	q−	PROPN
ejpam-5691	262	3	,	,	PUNCT
ejpam-5691	262	4	ϑ−	ϑ−	PROPN
ejpam-5691	262	5	]	]	PUNCT
ejpam-5691	262	6	}	}	PUNCT
ejpam-5691	262	7	,	,	PUNCT
ejpam-5691	262	8	y	y	PROPN
ejpam-5691	262	9	+	+	CCONJ
ejpam-5691	262	10	=	=	SYM
ejpam-5691	262	11	max(y1	max(y1	PROPN
ejpam-5691	262	12	,	,	PUNCT
ejpam-5691	262	13	y2	y2	PROPN
ejpam-5691	262	14	,	,	PUNCT
ejpam-5691	262	15	...	...	PUNCT
ejpam-5691	262	16	,	,	PUNCT
ejpam-5691	262	17	yn	yn	PROPN
ejpam-5691	262	18	)	)	PUNCT
ejpam-5691	262	19	=	=	PRON
ejpam-5691	262	20	{	{	PUNCT
ejpam-5691	263	1	[	[	X
ejpam-5691	263	2	q+	q+	ADP
ejpam-5691	263	3	,	,	PUNCT
ejpam-5691	263	4	ς+	ς+	NOUN
ejpam-5691	263	5	]	]	PUNCT
ejpam-5691	263	6	,	,	PUNCT
ejpam-5691	263	7	[	[	X
ejpam-5691	263	8	q−	q−	PROPN
ejpam-5691	263	9	,	,	PUNCT
ejpam-5691	263	10	ϑ−	ϑ−	PROPN
ejpam-5691	263	11	]	]	PUNCT
ejpam-5691	263	12	}	}	PUNCT
ejpam-5691	263	13	since	since	SCONJ
ejpam-5691	263	14	minj(q	minj(q	PROPN
ejpam-5691	263	15	+	+	NOUN
ejpam-5691	263	16	)	)	PUNCT
ejpam-5691	263	17	≤	≤	PUNCT
ejpam-5691	263	18	maxj(q	maxj(q	PROPN
ejpam-5691	263	19	+	+	PROPN
ejpam-5691	263	20	)	)	PUNCT
ejpam-5691	263	21	,	,	PUNCT
ejpam-5691	263	22	minj(ς	minj(ς	NOUN
ejpam-5691	263	23	+	+	NOUN
ejpam-5691	263	24	)	)	PUNCT
ejpam-5691	263	25	≤	≤	NOUN
ejpam-5691	263	26	maxj(ς	maxj(ς	NOUN
ejpam-5691	263	27	+	+	NOUN
ejpam-5691	263	28	)	)	PUNCT
ejpam-5691	263	29	,	,	PUNCT
ejpam-5691	263	30	a.	a.	PROPN
ejpam-5691	263	31	fahmi	fahmi	PROPN
ejpam-5691	263	32	et	et	PROPN
ejpam-5691	263	33	al	al	PROPN
ejpam-5691	263	34	.	.	PUNCT
ejpam-5691	263	35	/	/	SYM
ejpam-5691	263	36	eur	eur	PROPN
ejpam-5691	263	37	.	.	PUNCT
ejpam-5691	264	1	j.	j.	PROPN
ejpam-5691	264	2	pure	pure	PROPN
ejpam-5691	264	3	appl	appl	PROPN
ejpam-5691	264	4	.	.	PROPN
ejpam-5691	264	5	math	math	PROPN
ejpam-5691	264	6	,	,	PUNCT
ejpam-5691	264	7	18	18	NUM
ejpam-5691	264	8	(	(	PUNCT
ejpam-5691	264	9	1	1	NUM
ejpam-5691	264	10	)	)	PUNCT
ejpam-5691	264	11	(	(	PUNCT
ejpam-5691	264	12	2025	2025	NUM
ejpam-5691	264	13	)	)	PUNCT
ejpam-5691	264	14	,	,	PUNCT
ejpam-5691	264	15	5691	5691	NUM
ejpam-5691	264	16	14	14	NUM
ejpam-5691	264	17	of	of	ADP
ejpam-5691	264	18	32	32	NUM
ejpam-5691	264	19	minj(q	minj(q	NUM
ejpam-5691	264	20	−	−	NOUN
ejpam-5691	264	21	)	)	PUNCT
ejpam-5691	264	22	≤	≤	PUNCT
ejpam-5691	265	1	maxj(q	maxj(q	PROPN
ejpam-5691	265	2	−),minj(ϑ	−),minj(ϑ	NUM
ejpam-5691	265	3	−	−	NOUN
ejpam-5691	265	4	)	)	PUNCT
ejpam-5691	265	5	≤	≤	NUM
ejpam-5691	265	6	maxj(ϑ	maxj(ϑ	NUM
ejpam-5691	265	7	−	−	NOUN
ejpam-5691	265	8	)	)	PUNCT
ejpam-5691	265	9	which	which	PRON
ejpam-5691	265	10	implies	imply	VERB
ejpam-5691	265	11	3	3	NUM
ejpam-5691	265	12	√	√	PROPN
ejpam-5691	265	13	(	(	PUNCT
ejpam-5691	265	14	1+(g−1)(q+j	1+(g−1)(q+j	PROPN
ejpam-5691	265	15	)	)	PUNCT
ejpam-5691	265	16	3)g−(1−(q+j	3)g−(1−(q+j	NUM
ejpam-5691	265	17	)	)	PUNCT
ejpam-5691	266	1	3)g	3)g	NUM
ejpam-5691	266	2	(	(	PUNCT
ejpam-5691	266	3	1+(g−1)(1−q+j	1+(g−1)(1−q+j	X
ejpam-5691	266	4	)	)	PUNCT
ejpam-5691	266	5	3)g+(g−1)((1−q+j	3)g+(g−1)((1−q+j	NUM
ejpam-5691	266	6	)	)	PUNCT
ejpam-5691	266	7	3)g	3)g	NUM
ejpam-5691	266	8	≥	≥	NOUN
ejpam-5691	266	9	3	3	NUM
ejpam-5691	266	10	√	√	PROPN
ejpam-5691	266	11	(	(	PUNCT
ejpam-5691	266	12	1+(g−1)(minj(q	1+(g−1)(minj(q	NUM
ejpam-5691	266	13	+	+	CCONJ
ejpam-5691	266	14	j	j	NOUN
ejpam-5691	266	15	)	)	PUNCT
ejpam-5691	266	16	3)g−(1−(minj(q	3)g−(1−(minj(q	PROPN
ejpam-5691	267	1	+	+	CCONJ
ejpam-5691	267	2	j	j	NOUN
ejpam-5691	267	3	)	)	PUNCT
ejpam-5691	267	4	3)g	3)g	NUM
ejpam-5691	267	5	(	(	PUNCT
ejpam-5691	267	6	1+(g−1)(1−(minj(q	1+(g−1)(1−(minj(q	NUM
ejpam-5691	267	7	+	+	NUM
ejpam-5691	267	8	j	j	PROPN
ejpam-5691	267	9	)	)	PUNCT
ejpam-5691	267	10	3)g+(g−1)((1−(minj(q	3)g+(g−1)((1−(minj(q	PROPN
ejpam-5691	268	1	+	+	CCONJ
ejpam-5691	268	2	j	j	NOUN
ejpam-5691	268	3	)	)	PUNCT
ejpam-5691	268	4	3)g	3)g	NUM
ejpam-5691	269	1	=	=	PUNCT
ejpam-5691	269	2	minj(q	minj(q	PROPN
ejpam-5691	269	3	+	+	NOUN
ejpam-5691	269	4	)	)	PUNCT
ejpam-5691	269	5	;	;	PUNCT
ejpam-5691	269	6	3	3	NUM
ejpam-5691	269	7	√	√	NUM
ejpam-5691	269	8	(	(	PUNCT
ejpam-5691	269	9	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	269	10	)	)	PUNCT
ejpam-5691	269	11	3)g−(1−(ς+j	3)g−(1−(ς+j	NUM
ejpam-5691	269	12	)	)	PUNCT
ejpam-5691	269	13	3)g	3)g	NUM
ejpam-5691	269	14	(	(	PUNCT
ejpam-5691	269	15	1+(g−1)(1−ς+j	1+(g−1)(1−ς+j	NUM
ejpam-5691	269	16	)	)	PUNCT
ejpam-5691	269	17	3)g+(g−1)((1−ς+j	3)g+(g−1)((1−ς+j	NUM
ejpam-5691	269	18	)	)	PUNCT
ejpam-5691	269	19	3)g	3)g	NUM
ejpam-5691	269	20	≥	≥	NOUN
ejpam-5691	269	21	3	3	NUM
ejpam-5691	269	22	√	√	NUM
ejpam-5691	269	23	(	(	PUNCT
ejpam-5691	269	24	1+(g−1)(minj(ς	1+(g−1)(minj(ς	NUM
ejpam-5691	269	25	+	+	CCONJ
ejpam-5691	269	26	j	j	NOUN
ejpam-5691	269	27	)	)	PUNCT
ejpam-5691	269	28	3)g−(1−(minj(ς	3)g−(1−(minj(ς	PROPN
ejpam-5691	269	29	+	+	CCONJ
ejpam-5691	269	30	j	j	PROPN
ejpam-5691	269	31	)	)	PUNCT
ejpam-5691	269	32	3)g	3)g	NUM
ejpam-5691	269	33	(	(	PUNCT
ejpam-5691	269	34	1+(g−1)(1−(minj(ς	1+(g−1)(1−(minj(ς	NUM
ejpam-5691	269	35	+	+	NUM
ejpam-5691	269	36	j	j	PROPN
ejpam-5691	269	37	)	)	PUNCT
ejpam-5691	269	38	3)g+(g−1)((1−(minj(ς	3)g+(g−1)((1−(minj(ς	PROPN
ejpam-5691	270	1	+	+	CCONJ
ejpam-5691	270	2	j	j	X
ejpam-5691	270	3	)	)	PUNCT
ejpam-5691	270	4	3)g	3)g	NUM
ejpam-5691	271	1	=	=	PUNCT
ejpam-5691	271	2	minj(ς	minj(ς	NOUN
ejpam-5691	271	3	+	+	NOUN
ejpam-5691	271	4	)	)	PUNCT
ejpam-5691	271	5	;	;	PUNCT
ejpam-5691	271	6	3	3	NUM
ejpam-5691	271	7	√	√	NOUN
ejpam-5691	271	8	g(q−j	g(q−j	PROPN
ejpam-5691	271	9	)	)	PUNCT
ejpam-5691	271	10	g	g	PROPN
ejpam-5691	271	11	3	3	NUM
ejpam-5691	271	12	√	√	PROPN
ejpam-5691	271	13	(	(	PUNCT
ejpam-5691	271	14	1+(g−1)(q−j	1+(g−1)(q−j	NUM
ejpam-5691	271	15	)	)	PUNCT
ejpam-5691	271	16	3)g+(g−1)(1−(q−j	3)g+(g−1)(1−(q−j	NUM
ejpam-5691	271	17	)	)	PUNCT
ejpam-5691	271	18	3)g	3)g	NUM
ejpam-5691	271	19	≥	≥	NOUN
ejpam-5691	271	20	3	3	NUM
ejpam-5691	271	21	√	√	NOUN
ejpam-5691	272	1	g(minj(q	g(minj(q	INTJ
ejpam-5691	272	2	−	−	PROPN
ejpam-5691	273	1	j	j	PROPN
ejpam-5691	273	2	)	)	PUNCT
ejpam-5691	273	3	g	g	NOUN
ejpam-5691	273	4	)	)	PUNCT
ejpam-5691	273	5	3	3	NUM
ejpam-5691	273	6	√	√	PROPN
ejpam-5691	273	7	(	(	PUNCT
ejpam-5691	273	8	1+(g−1)(minj(q	1+(g−1)(minj(q	NUM
ejpam-5691	273	9	−	−	PROPN
ejpam-5691	273	10	j	j	PROPN
ejpam-5691	273	11	)	)	PUNCT
ejpam-5691	274	1	3)g)+(g−1)(1−(minj(q	3)g)+(g−1)(1−(minj(q	PROPN
ejpam-5691	275	1	−	−	PROPN
ejpam-5691	275	2	j	j	PROPN
ejpam-5691	275	3	)	)	PUNCT
ejpam-5691	275	4	3)g	3)g	NUM
ejpam-5691	275	5	)	)	PUNCT
ejpam-5691	276	1	=	=	PUNCT
ejpam-5691	276	2	minj(q	minj(q	PRON
ejpam-5691	276	3	−	−	PROPN
ejpam-5691	276	4	j	j	PROPN
ejpam-5691	276	5	)	)	PUNCT
ejpam-5691	276	6	3	3	NUM
ejpam-5691	276	7	√	√	NUM
ejpam-5691	276	8	g(ϑ−	g(ϑ−	PROPN
ejpam-5691	276	9	j	j	PROPN
ejpam-5691	276	10	)	)	PUNCT
ejpam-5691	277	1	g	g	ADP
ejpam-5691	277	2	3	3	NUM
ejpam-5691	277	3	√	√	PROPN
ejpam-5691	277	4	(	(	PUNCT
ejpam-5691	277	5	1+(g−1)(ϑ−	1+(g−1)(ϑ−	NUM
ejpam-5691	277	6	j	j	NOUN
ejpam-5691	277	7	)	)	PUNCT
ejpam-5691	278	1	3)g+(g−1)(1−(ϑ−	3)g+(g−1)(1−(ϑ−	NUM
ejpam-5691	278	2	j	j	PROPN
ejpam-5691	278	3	)	)	PUNCT
ejpam-5691	278	4	3)g	3)g	NUM
ejpam-5691	278	5	≥	≥	NOUN
ejpam-5691	278	6	3	3	NUM
ejpam-5691	278	7	√	√	NUM
ejpam-5691	279	1	g(maxj(ϑ	g(maxj(ϑ	INTJ
ejpam-5691	279	2	−	−	PROPN
ejpam-5691	279	3	j	j	PROPN
ejpam-5691	279	4	)	)	PUNCT
ejpam-5691	279	5	g	g	NOUN
ejpam-5691	279	6	)	)	PUNCT
ejpam-5691	279	7	3	3	NUM
ejpam-5691	279	8	√	√	PROPN
ejpam-5691	279	9	(	(	PUNCT
ejpam-5691	279	10	1+(g−1)(maxj(ϑ	1+(g−1)(maxj(ϑ	NUM
ejpam-5691	279	11	−	−	PROPN
ejpam-5691	279	12	j	j	PROPN
ejpam-5691	279	13	)	)	PUNCT
ejpam-5691	280	1	3)g)+(g−1)(1−(maxj(ϑ	3)g)+(g−1)(1−(maxj(ϑ	NUM
ejpam-5691	280	2	−	−	PROPN
ejpam-5691	281	1	j	j	PROPN
ejpam-5691	281	2	)	)	PUNCT
ejpam-5691	281	3	3)g	3)g	NUM
ejpam-5691	281	4	)	)	PUNCT
ejpam-5691	282	1	=	=	PRON
ejpam-5691	282	2	maxj(ϑ	maxj(ϑ	NUM
ejpam-5691	282	3	−	−	PROPN
ejpam-5691	282	4	j	j	PROPN
ejpam-5691	282	5	)	)	PUNCT
ejpam-5691	282	6	bfhfwa(y1	bfhfwa(y1	NOUN
ejpam-5691	282	7	,	,	PUNCT
ejpam-5691	282	8	y2	y2	INTJ
ejpam-5691	282	9	,	,	PUNCT
ejpam-5691	282	10	...	...	PUNCT
ejpam-5691	282	11	,	,	PUNCT
ejpam-5691	282	12	yn	yn	PROPN
ejpam-5691	282	13	)	)	PUNCT
ejpam-5691	282	14	=	=	SYM
ejpam-5691	282	15	{	{	PUNCT
ejpam-5691	283	1	[	[	X
ejpam-5691	283	2	q+	q+	NOUN
ejpam-5691	283	3	,	,	PUNCT
ejpam-5691	283	4	ς+	ς+	NOUN
ejpam-5691	283	5	]	]	PUNCT
ejpam-5691	283	6	,	,	PUNCT
ejpam-5691	283	7	[	[	X
ejpam-5691	283	8	q−	q−	PROPN
ejpam-5691	283	9	,	,	PUNCT
ejpam-5691	283	10	ϑ−	ϑ−	PROPN
ejpam-5691	283	11	]	]	PUNCT
ejpam-5691	283	12	}	}	PUNCT
ejpam-5691	283	13	s(y	s(y	PROPN
ejpam-5691	283	14	)	)	PUNCT
ejpam-5691	283	15	=	=	PUNCT
ejpam-5691	284	1	{	{	PUNCT
ejpam-5691	284	2	[	[	X
ejpam-5691	284	3	(	(	PUNCT
ejpam-5691	284	4	q+)3+(ς+)3]−[(q−)3+(ϑ−)3	q+)3+(ς+)3]−[(q−)3+(ϑ−)3	NOUN
ejpam-5691	284	5	]	]	X
ejpam-5691	284	6	}	}	PUNCT
ejpam-5691	284	7	4	4	NUM
ejpam-5691	284	8	≤	≤	NOUN
ejpam-5691	284	9	{	{	PUNCT
ejpam-5691	285	1	[	[	X
ejpam-5691	285	2	maxj(q	maxj(q	PROPN
ejpam-5691	285	3	+	+	NOUN
ejpam-5691	285	4	)	)	PUNCT
ejpam-5691	285	5	3+maxj(ς	3+maxj(ς	NUM
ejpam-5691	285	6	+	+	NOUN
ejpam-5691	285	7	)	)	PUNCT
ejpam-5691	285	8	3]−[minj(q	3]−[minj(q	PROPN
ejpam-5691	285	9	−)3+minj(ϑ	−)3+minj(ϑ	NOUN
ejpam-5691	286	1	−)3	−)3	NOUN
ejpam-5691	286	2	]	]	PUNCT
ejpam-5691	286	3	}	}	PUNCT
ejpam-5691	286	4	4	4	NUM
ejpam-5691	286	5	=	=	SYM
ejpam-5691	286	6	s(y	s(y	PROPN
ejpam-5691	286	7	−	−	NOUN
ejpam-5691	286	8	)	)	PUNCT
ejpam-5691	286	9	s(y	s(y	PROPN
ejpam-5691	286	10	)	)	PUNCT
ejpam-5691	287	1	=	=	PUNCT
ejpam-5691	287	2	{	{	PUNCT
ejpam-5691	287	3	[	[	X
ejpam-5691	287	4	(	(	PUNCT
ejpam-5691	287	5	q+)3+(ς+)3]−[(q−)3+(ϑ−)3	q+)3+(ς+)3]−[(q−)3+(ϑ−)3	NOUN
ejpam-5691	287	6	]	]	X
ejpam-5691	287	7	}	}	PUNCT
ejpam-5691	287	8	4	4	NUM
ejpam-5691	287	9	≥	≥	NOUN
ejpam-5691	287	10	{	{	PUNCT
ejpam-5691	288	1	[	[	X
ejpam-5691	288	2	maxj(q	maxj(q	PROPN
ejpam-5691	288	3	+	+	NOUN
ejpam-5691	288	4	)	)	PUNCT
ejpam-5691	288	5	3+maxj(ς	3+maxj(ς	NUM
ejpam-5691	288	6	+	+	NOUN
ejpam-5691	288	7	)	)	PUNCT
ejpam-5691	288	8	3]−[minj(q	3]−[minj(q	PROPN
ejpam-5691	288	9	−)3+minj(ϑ	−)3+minj(ϑ	NOUN
ejpam-5691	289	1	−)3	−)3	NOUN
ejpam-5691	289	2	]	]	PUNCT
ejpam-5691	289	3	}	}	PUNCT
ejpam-5691	289	4	4	4	NUM
ejpam-5691	289	5	=	=	SYM
ejpam-5691	289	6	s(y	s(y	PROPN
ejpam-5691	289	7	+	+	NOUN
ejpam-5691	289	8	)	)	PUNCT
ejpam-5691	289	9	s(y	s(y	PROPN
ejpam-5691	289	10	−	−	PROPN
ejpam-5691	289	11	)	)	PUNCT
ejpam-5691	289	12	≥	≥	NOUN
ejpam-5691	289	13	s(y	s(y	PROPN
ejpam-5691	289	14	+	+	PROPN
ejpam-5691	289	15	)	)	PUNCT
ejpam-5691	289	16	bfhfwa(y1	bfhfwa(y1	NOUN
ejpam-5691	289	17	,	,	PUNCT
ejpam-5691	289	18	y2	y2	INTJ
ejpam-5691	289	19	,	,	PUNCT
ejpam-5691	289	20	...	...	PUNCT
ejpam-5691	289	21	,	,	PUNCT
ejpam-5691	289	22	yn	yn	PROPN
ejpam-5691	289	23	)	)	PUNCT
ejpam-5691	289	24	=	=	SYM
ejpam-5691	290	1	y	y	PROPN
ejpam-5691	290	2	−	−	PROPN
ejpam-5691	290	3	and	and	CCONJ
ejpam-5691	290	4	bfhfwa(y1	bfhfwa(y1	NOUN
ejpam-5691	290	5	,	,	PUNCT
ejpam-5691	290	6	y2	y2	INTJ
ejpam-5691	290	7	,	,	PUNCT
ejpam-5691	290	8	...	...	PUNCT
ejpam-5691	290	9	,	,	PUNCT
ejpam-5691	290	10	yn	yn	PROPN
ejpam-5691	290	11	)	)	PUNCT
ejpam-5691	291	1	=	=	SYM
ejpam-5691	291	2	y	y	PROPN
ejpam-5691	291	3	+	+	NOUN
ejpam-5691	291	4	4.2	4.2	NUM
ejpam-5691	291	5	.	.	PUNCT
ejpam-5691	291	6	bipolar	bipolar	ADJ
ejpam-5691	291	7	fermatean	fermatean	NOUN
ejpam-5691	291	8	fuzzy	fuzzy	ADJ
ejpam-5691	291	9	hamacher	hamacher	NOUN
ejpam-5691	291	10	ordered	order	VERB
ejpam-5691	291	11	weighted	weight	VERB
ejpam-5691	291	12	average	average	ADJ
ejpam-5691	291	13	operator	operator	NOUN
ejpam-5691	291	14	definition	definition	NOUN
ejpam-5691	291	15	15	15	NUM
ejpam-5691	291	16	.	.	PUNCT
ejpam-5691	292	1	the	the	DET
ejpam-5691	292	2	gathering	gathering	NOUN
ejpam-5691	292	3	of	of	ADP
ejpam-5691	292	4	bffns	bffns	NOUN
ejpam-5691	292	5	are	be	AUX
ejpam-5691	292	6	fj	fj	ADJ
ejpam-5691	292	7	=	=	PUNCT
ejpam-5691	292	8	{	{	PUNCT
ejpam-5691	292	9	[	[	X
ejpam-5691	292	10	p+	p+	NOUN
ejpam-5691	292	11	,	,	PUNCT
ejpam-5691	292	12	r+	r+	X
ejpam-5691	292	13	]	]	PUNCT
ejpam-5691	292	14	,	,	PUNCT
ejpam-5691	292	15	[	[	X
ejpam-5691	292	16	q−	q−	PROPN
ejpam-5691	292	17	,	,	PUNCT
ejpam-5691	292	18	r−	r−	PROPN
ejpam-5691	292	19	]	]	PUNCT
ejpam-5691	292	20	}	}	PUNCT
ejpam-5691	292	21	and	and	CCONJ
ejpam-5691	292	22	the	the	DET
ejpam-5691	292	23	weight	weight	NOUN
ejpam-5691	292	24	vector	vector	NOUN
ejpam-5691	292	25	is	be	AUX
ejpam-5691	292	26	g	g	NOUN
ejpam-5691	292	27	=	=	PUNCT
ejpam-5691	292	28	(	(	PUNCT
ejpam-5691	292	29	g1	g1	PROPN
ejpam-5691	292	30	,	,	PUNCT
ejpam-5691	292	31	g2	g2	PROPN
ejpam-5691	292	32	,	,	PUNCT
ejpam-5691	292	33	...	...	PUNCT
ejpam-5691	292	34	,	,	PUNCT
ejpam-5691	292	35	gn	gn	PROPN
ejpam-5691	292	36	)	)	PUNCT
ejpam-5691	292	37	t	t	PROPN
ejpam-5691	292	38	with	with	ADP
ejpam-5691	292	39	gj	gj	PROPN
ejpam-5691	292	40	∈	∈	PROPN
ejpam-5691	293	1	[	[	X
ejpam-5691	293	2	0	0	NUM
ejpam-5691	293	3	,	,	PUNCT
ejpam-5691	293	4	1	1	NUM
ejpam-5691	293	5	]	]	PUNCT
ejpam-5691	293	6	and	and	CCONJ
ejpam-5691	293	7	n∑	n∑	PROPN
ejpam-5691	293	8	j=1	j=1	PROPN
ejpam-5691	293	9	gj	gj	NOUN
ejpam-5691	293	10	=	=	NOUN
ejpam-5691	293	11	1	1	X
ejpam-5691	293	12	.	.	PUNCT
ejpam-5691	293	13	then	then	ADV
ejpam-5691	293	14	bfhfowa	bfhfowa	NOUN
ejpam-5691	293	15	(	(	PUNCT
ejpam-5691	293	16	f1	f1	NOUN
ejpam-5691	293	17	,	,	PUNCT
ejpam-5691	293	18	f2	f2	PROPN
ejpam-5691	293	19	,	,	PUNCT
ejpam-5691	293	20	...	...	PUNCT
ejpam-5691	293	21	,	,	PUNCT
ejpam-5691	293	22	fn	fn	NOUN
ejpam-5691	293	23	)	)	PUNCT
ejpam-5691	293	24	=	=	SYM
ejpam-5691	293	25	a.	a.	NOUN
ejpam-5691	293	26	fahmi	fahmi	PROPN
ejpam-5691	293	27	et	et	PROPN
ejpam-5691	293	28	al	al	PROPN
ejpam-5691	293	29	.	.	PUNCT
ejpam-5691	293	30	/	/	SYM
ejpam-5691	293	31	eur	eur	PROPN
ejpam-5691	293	32	.	.	PUNCT
ejpam-5691	294	1	j.	j.	PROPN
ejpam-5691	294	2	pure	pure	PROPN
ejpam-5691	294	3	appl	appl	PROPN
ejpam-5691	294	4	.	.	PROPN
ejpam-5691	294	5	math	math	PROPN
ejpam-5691	294	6	,	,	PUNCT
ejpam-5691	294	7	18	18	NUM
ejpam-5691	294	8	(	(	PUNCT
ejpam-5691	294	9	1	1	NUM
ejpam-5691	294	10	)	)	PUNCT
ejpam-5691	294	11	(	(	PUNCT
ejpam-5691	294	12	2025	2025	NUM
ejpam-5691	294	13	)	)	PUNCT
ejpam-5691	294	14	,	,	PUNCT
ejpam-5691	294	15	5691	5691	NUM
ejpam-5691	294	16	15	15	NUM
ejpam-5691	294	17	of	of	ADP
ejpam-5691	294	18	32	32	NUM
ejpam-5691	294	19	n⊕	n⊕	NOUN
ejpam-5691	294	20	j=1	j=1	PROPN
ejpam-5691	294	21	gjfj	gjfj	PROPN
ejpam-5691	294	22	is	be	AUX
ejpam-5691	294	23	expressed	express	VERB
ejpam-5691	294	24	bfhfowa	bfhfowa	NOUN
ejpam-5691	294	25	operator	operator	NOUN
ejpam-5691	294	26	.	.	PUNCT
ejpam-5691	295	1	theorem	theorem	VERB
ejpam-5691	295	2	4	4	NUM
ejpam-5691	295	3	.	.	PUNCT
ejpam-5691	296	1	the	the	DET
ejpam-5691	296	2	gathering	gathering	NOUN
ejpam-5691	296	3	of	of	ADP
ejpam-5691	296	4	bffns	bffns	NOUN
ejpam-5691	296	5	are	be	AUX
ejpam-5691	296	6	aj	aj	PROPN
ejpam-5691	296	7	=	=	PUNCT
ejpam-5691	296	8	{	{	PUNCT
ejpam-5691	296	9	[	[	X
ejpam-5691	296	10	κ+	κ+	PROPN
ejpam-5691	296	11	,	,	PUNCT
ejpam-5691	296	12	ς+	ς+	X
ejpam-5691	296	13	]	]	X
ejpam-5691	296	14	,	,	PUNCT
ejpam-5691	296	15	[	[	X
ejpam-5691	296	16	υ−	υ−	PROPN
ejpam-5691	296	17	,	,	PUNCT
ejpam-5691	296	18	ϑ−	ϑ−	PROPN
ejpam-5691	296	19	]	]	PUNCT
ejpam-5691	296	20	}	}	PUNCT
ejpam-5691	296	21	and	and	CCONJ
ejpam-5691	296	22	the	the	DET
ejpam-5691	296	23	weight	weight	NOUN
ejpam-5691	296	24	vector	vector	NOUN
ejpam-5691	296	25	is	be	AUX
ejpam-5691	296	26	g	g	NOUN
ejpam-5691	296	27	=	=	PUNCT
ejpam-5691	296	28	(	(	PUNCT
ejpam-5691	296	29	g1	g1	PROPN
ejpam-5691	296	30	,	,	PUNCT
ejpam-5691	296	31	g2	g2	PROPN
ejpam-5691	296	32	,	,	PUNCT
ejpam-5691	296	33	...	...	PUNCT
ejpam-5691	296	34	,	,	PUNCT
ejpam-5691	296	35	gn	gn	PROPN
ejpam-5691	296	36	)	)	PUNCT
ejpam-5691	296	37	t	t	PROPN
ejpam-5691	296	38	with	with	ADP
ejpam-5691	296	39	gj	gj	PROPN
ejpam-5691	296	40	∈	∈	PROPN
ejpam-5691	297	1	[	[	X
ejpam-5691	297	2	0	0	NUM
ejpam-5691	297	3	,	,	PUNCT
ejpam-5691	297	4	1	1	NUM
ejpam-5691	297	5	]	]	PUNCT
ejpam-5691	297	6	and	and	CCONJ
ejpam-5691	297	7	n∑	n∑	PROPN
ejpam-5691	297	8	j=1	j=1	PROPN
ejpam-5691	297	9	gj	gj	NOUN
ejpam-5691	297	10	=	=	NOUN
ejpam-5691	297	11	1	1	X
ejpam-5691	297	12	.	.	PUNCT
ejpam-5691	298	1	then	then	ADV
ejpam-5691	298	2	it	it	PRON
ejpam-5691	298	3	is	be	AUX
ejpam-5691	298	4	said	say	VERB
ejpam-5691	298	5	bfhfowa	bfhfowa	NOUN
ejpam-5691	298	6	operator	operator	NOUN
ejpam-5691	298	7	and	and	CCONJ
ejpam-5691	298	8	bfhfowa(a1	bfhfowa(a1	NOUN
ejpam-5691	298	9	,	,	PUNCT
ejpam-5691	298	10	a2	a2	PROPN
ejpam-5691	298	11	,	,	PUNCT
ejpam-5691	298	12	...	...	PUNCT
ejpam-5691	298	13	,	,	PUNCT
ejpam-5691	298	14	an	an	X
ejpam-5691	298	15	)	)	PUNCT
ejpam-5691	298	16	=	=	NOUN
ejpam-5691	298	17			NOUN
ejpam-5691	298	18			VERB
ejpam-5691	299	1	3	3	NUM
ejpam-5691	299	2	√√√√√√√	√√√√√√√	PROPN
ejpam-5691	299	3	n∏	n∏	PROPN
ejpam-5691	299	4	j=1	j=1	NOUN
ejpam-5691	299	5	(	(	PUNCT
ejpam-5691	299	6	1+(g−1)(κ+	1+(g−1)(κ+	NUM
ejpam-5691	299	7	j	j	PROPN
ejpam-5691	299	8	)	)	PUNCT
ejpam-5691	299	9	3)g−	3)g−	PROPN
ejpam-5691	299	10	n∏	n∏	PROPN
ejpam-5691	299	11	j=1	j=1	NOUN
ejpam-5691	299	12	(	(	PUNCT
ejpam-5691	299	13	1−(κ+	1−(κ+	NUM
ejpam-5691	299	14	j	j	NOUN
ejpam-5691	299	15	)	)	PUNCT
ejpam-5691	299	16	3)g	3)g	NUM
ejpam-5691	299	17	n∏	n∏	NOUN
ejpam-5691	299	18	j=1	j=1	NOUN
ejpam-5691	299	19	(	(	PUNCT
ejpam-5691	299	20	1+(g−1)(1−κ+	1+(g−1)(1−κ+	NUM
ejpam-5691	299	21	j	j	NOUN
ejpam-5691	299	22	)	)	PUNCT
ejpam-5691	299	23	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	299	24	)	)	PUNCT
ejpam-5691	299	25	n∏	n∏	NOUN
ejpam-5691	299	26	j=1	j=1	NOUN
ejpam-5691	299	27	(	(	PUNCT
ejpam-5691	299	28	(	(	PUNCT
ejpam-5691	299	29	1−κ+	1−κ+	NUM
ejpam-5691	299	30	j	j	NOUN
ejpam-5691	299	31	)	)	PUNCT
ejpam-5691	299	32	3)g	3)g	NUM
ejpam-5691	299	33	,	,	PUNCT
ejpam-5691	299	34	3	3	NUM
ejpam-5691	299	35	√√√√√√√	√√√√√√√	PROPN
ejpam-5691	299	36	n∏	n∏	NOUN
ejpam-5691	299	37	j=1	j=1	NOUN
ejpam-5691	299	38	(	(	PUNCT
ejpam-5691	299	39	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	299	40	)	)	PUNCT
ejpam-5691	299	41	3)g−	3)g−	PROPN
ejpam-5691	299	42	n∏	n∏	PROPN
ejpam-5691	299	43	j=1	j=1	NOUN
ejpam-5691	299	44	(	(	PUNCT
ejpam-5691	299	45	1−(ς+j	1−(ς+j	NUM
ejpam-5691	299	46	)	)	PUNCT
ejpam-5691	299	47	3)g	3)g	NUM
ejpam-5691	299	48	n∏	n∏	NOUN
ejpam-5691	299	49	j=1	j=1	NOUN
ejpam-5691	299	50	(	(	PUNCT
ejpam-5691	299	51	1+(g−1)(ς+j	1+(g−1)(ς+j	NUM
ejpam-5691	299	52	)	)	PUNCT
ejpam-5691	299	53	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	299	54	)	)	PUNCT
ejpam-5691	299	55	n∏	n∏	NOUN
ejpam-5691	299	56	j=1	j=1	NOUN
ejpam-5691	299	57	(	(	PUNCT
ejpam-5691	299	58	1−(ς+j	1−(ς+j	NUM
ejpam-5691	299	59	)	)	PUNCT
ejpam-5691	299	60	3)g	3)g	NUM
ejpam-5691	299	61			NOUN
ejpam-5691	299	62	,	,	PUNCT
ejpam-5691	299	63			NOUN
ejpam-5691	299	64	3	3	NUM
ejpam-5691	299	65	√	√	PROPN
ejpam-5691	299	66	g	g	PROPN
ejpam-5691	299	67	n∏	n∏	PROPN
ejpam-5691	299	68	j=1	j=1	NOUN
ejpam-5691	299	69	(	(	PUNCT
ejpam-5691	299	70	υ−	υ−	PROPN
ejpam-5691	299	71	j	j	PROPN
ejpam-5691	299	72	)	)	PUNCT
ejpam-5691	299	73	g	g	ADP
ejpam-5691	299	74	3	3	NUM
ejpam-5691	299	75	√√√√	√√√√	NOUN
ejpam-5691	299	76	n∏	n∏	NOUN
ejpam-5691	299	77	j=1	j=1	NOUN
ejpam-5691	299	78	(	(	PUNCT
ejpam-5691	299	79	1+(g−1)(υ−	1+(g−1)(υ−	NUM
ejpam-5691	299	80	j	j	PROPN
ejpam-5691	299	81	)	)	PUNCT
ejpam-5691	299	82	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	299	83	)	)	PUNCT
ejpam-5691	299	84	n∏	n∏	NOUN
ejpam-5691	299	85	j=1	j=1	NOUN
ejpam-5691	299	86	(	(	PUNCT
ejpam-5691	299	87	1−(υ−	1−(υ−	NUM
ejpam-5691	299	88	j	j	PROPN
ejpam-5691	299	89	)	)	PUNCT
ejpam-5691	299	90	3)g	3)g	NUM
ejpam-5691	299	91	,	,	PUNCT
ejpam-5691	299	92	3	3	NUM
ejpam-5691	299	93	√	√	PROPN
ejpam-5691	299	94	g	g	PROPN
ejpam-5691	299	95	n∏	n∏	PROPN
ejpam-5691	299	96	j=1	j=1	NOUN
ejpam-5691	299	97	(	(	PUNCT
ejpam-5691	299	98	ϑ−	ϑ−	PROPN
ejpam-5691	299	99	j	j	NOUN
ejpam-5691	299	100	)	)	PUNCT
ejpam-5691	299	101	g	g	ADP
ejpam-5691	299	102	3	3	NUM
ejpam-5691	299	103	√√√√	√√√√	NOUN
ejpam-5691	299	104	n∏	n∏	NOUN
ejpam-5691	299	105	j=1	j=1	NOUN
ejpam-5691	299	106	(	(	PUNCT
ejpam-5691	299	107	1+(g−1)(ϑ−	1+(g−1)(ϑ−	NUM
ejpam-5691	299	108	j	j	PROPN
ejpam-5691	299	109	)	)	PUNCT
ejpam-5691	299	110	3)g+(g−1	3)g+(g−1	NUM
ejpam-5691	299	111	)	)	PUNCT
ejpam-5691	299	112	n∏	n∏	NOUN
ejpam-5691	299	113	j=1	j=1	NOUN
ejpam-5691	299	114	(	(	PUNCT
ejpam-5691	299	115	1−(ϑ−	1−(ϑ−	NUM
ejpam-5691	299	116	j	j	NOUN
ejpam-5691	299	117	)	)	PUNCT
ejpam-5691	299	118	3)g	3)g	NUM
ejpam-5691	299	119			PROPN
ejpam-5691	299	120			NUM
ejpam-5691	299	121	.	.	PUNCT
ejpam-5691	300	1	proof	proof	NOUN
ejpam-5691	300	2	:	:	PUNCT
ejpam-5691	300	3	this	this	DET
ejpam-5691	300	4	proof	proof	NOUN
ejpam-5691	300	5	is	be	AUX
ejpam-5691	300	6	straightforward	straightforward	ADJ
ejpam-5691	300	7	theorem	theorem	ADJ
ejpam-5691	300	8	5	5	NUM
ejpam-5691	300	9	.	.	PUNCT
ejpam-5691	301	1	(	(	PUNCT
ejpam-5691	301	2	idempotency):if	idempotency):if	PROPN
ejpam-5691	301	3	x̃d	x̃d	PUNCT
ejpam-5691	301	4	=	=	PRON
ejpam-5691	301	5	{	{	PUNCT
ejpam-5691	302	1	[	[	X
ejpam-5691	302	2	r+	r+	X
ejpam-5691	302	3	,	,	PUNCT
ejpam-5691	302	4	s+	s+	X
ejpam-5691	302	5	]	]	PUNCT
ejpam-5691	302	6	,	,	PUNCT
ejpam-5691	302	7	[	[	X
ejpam-5691	302	8	r−	r−	PROPN
ejpam-5691	302	9	,	,	PUNCT
ejpam-5691	302	10	s−	s−	PROPN
ejpam-5691	302	11	]	]	PUNCT
ejpam-5691	302	12	}	}	PUNCT
ejpam-5691	302	13	for	for	ADP
ejpam-5691	302	14	all	all	PRON
ejpam-5691	302	15	k	k	NOUN
ejpam-5691	302	16	=	=	SYM
ejpam-5691	302	17	1	1	NUM
ejpam-5691	302	18	,	,	PUNCT
ejpam-5691	302	19	2	2	NUM
ejpam-5691	302	20	,	,	PUNCT
ejpam-5691	302	21	3	3	NUM
ejpam-5691	302	22	,	,	PUNCT
ejpam-5691	302	23	...	...	PUNCT
ejpam-5691	302	24	,	,	PUNCT
ejpam-5691	302	25	n	n	CCONJ
ejpam-5691	302	26	,	,	PUNCT
ejpam-5691	302	27	then	then	ADV
ejpam-5691	302	28	bfhfowa(xd	bfhfowa(xd	NOUN
ejpam-5691	302	29	,	,	PUNCT
ejpam-5691	302	30	xd	xd	INTJ
ejpam-5691	302	31	,	,	PUNCT
ejpam-5691	302	32	xd	xd	ADV
ejpam-5691	302	33	,	,	PUNCT
ejpam-5691	302	34	...	...	PUNCT
ejpam-5691	302	35	,	,	PUNCT
ejpam-5691	302	36	xd	xd	ADP
ejpam-5691	302	37	)	)	PUNCT
ejpam-5691	302	38	=	=	SYM
ejpam-5691	302	39	xd	xd	ADP
ejpam-5691	302	40	.	.	PUNCT
ejpam-5691	302	41	proof	proof	NOUN
ejpam-5691	302	42	:	:	PUNCT
ejpam-5691	302	43	this	this	DET
ejpam-5691	302	44	proof	proof	NOUN
ejpam-5691	302	45	is	be	AUX
ejpam-5691	302	46	straightforward	straightforward	ADJ
ejpam-5691	302	47	4.3	4.3	NUM
ejpam-5691	302	48	.	.	PUNCT
ejpam-5691	302	49	bipolar	bipolar	ADJ
ejpam-5691	302	50	fermatean	fermatean	ADJ
ejpam-5691	302	51	fuzzy	fuzzy	ADJ
ejpam-5691	302	52	-	-	PUNCT
ejpam-5691	302	53	hamacher	hamacher	NOUN
ejpam-5691	302	54	hybrid	hybrid	NOUN
ejpam-5691	302	55	weighted	weight	VERB
ejpam-5691	302	56	average	average	ADJ
ejpam-5691	302	57	operator	operator	NOUN
ejpam-5691	302	58	definition	definition	NOUN
ejpam-5691	302	59	16	16	NUM
ejpam-5691	302	60	.	.	PUNCT
ejpam-5691	303	1	the	the	DET
ejpam-5691	303	2	gathering	gathering	NOUN
ejpam-5691	303	3	of	of	ADP
ejpam-5691	303	4	bffns	bffns	NOUN
ejpam-5691	303	5	are	be	AUX
ejpam-5691	303	6	fk	fk	INTJ
ejpam-5691	303	7	=	=	PUNCT
ejpam-5691	303	8	{	{	PUNCT
ejpam-5691	303	9	[	[	X
ejpam-5691	303	10	p+	p+	NOUN
ejpam-5691	303	11	,	,	PUNCT
ejpam-5691	303	12	r+	r+	X
ejpam-5691	303	13	]	]	PUNCT
ejpam-5691	303	14	,	,	PUNCT
ejpam-5691	303	15	[	[	X
ejpam-5691	303	16	q−	q−	PROPN
ejpam-5691	303	17	,	,	PUNCT
ejpam-5691	303	18	r−	r−	PROPN
ejpam-5691	303	19	]	]	PUNCT
ejpam-5691	303	20	}	}	PUNCT
ejpam-5691	303	21	and	and	CCONJ
ejpam-5691	303	22	the	the	DET
ejpam-5691	303	23	weight	weight	NOUN
ejpam-5691	303	24	vector	vector	NOUN
ejpam-5691	303	25	is	be	AUX
ejpam-5691	303	26	e	e	NOUN
ejpam-5691	303	27	=	=	PUNCT
ejpam-5691	303	28	(	(	PUNCT
ejpam-5691	303	29	e1	e1	PROPN
ejpam-5691	303	30	,	,	PUNCT
ejpam-5691	303	31	e2	e2	PROPN
ejpam-5691	303	32	,	,	PUNCT
ejpam-5691	303	33	...	...	PUNCT
ejpam-5691	303	34	,	,	PUNCT
ejpam-5691	303	35	en	en	X
ejpam-5691	303	36	)	)	PUNCT
ejpam-5691	303	37	t	t	NOUN
ejpam-5691	303	38	with	with	ADP
ejpam-5691	303	39	ek	ek	PROPN
ejpam-5691	303	40	∈	∈	PROPN
ejpam-5691	304	1	[	[	X
ejpam-5691	304	2	0	0	NUM
ejpam-5691	304	3	,	,	PUNCT
ejpam-5691	304	4	1	1	NUM
ejpam-5691	304	5	]	]	PUNCT
ejpam-5691	304	6	and	and	CCONJ
ejpam-5691	304	7	n∑	n∑	INTJ
ejpam-5691	304	8	k=1	k=1	X
ejpam-5691	304	9	ek	ek	NOUN
ejpam-5691	305	1	=	=	NOUN
ejpam-5691	305	2	1	1	X
ejpam-5691	305	3	.	.	PUNCT
ejpam-5691	305	4	then	then	ADV
ejpam-5691	305	5	bfhfhwa	bfhfhwa	NOUN
ejpam-5691	305	6	(	(	PUNCT
ejpam-5691	305	7	f1	f1	NOUN
ejpam-5691	305	8	,	,	PUNCT
ejpam-5691	305	9	f2	f2	PROPN
ejpam-5691	305	10	,	,	PUNCT
ejpam-5691	305	11	...	...	PUNCT
ejpam-5691	305	12	,	,	PUNCT
ejpam-5691	305	13	fn	fn	NOUN
ejpam-5691	305	14	)	)	PUNCT
ejpam-5691	305	15	=	=	SYM
ejpam-5691	306	1	n⊕	n⊕	NOUN
ejpam-5691	306	2	k=1	k=1	PROPN
ejpam-5691	306	3	ekfk	ekfk	PROPN
ejpam-5691	306	4	is	be	AUX
ejpam-5691	306	5	expressed	express	VERB
ejpam-5691	306	6	bfhfhwa	bfhfhwa	NOUN
ejpam-5691	306	7	operator	operator	NOUN
ejpam-5691	306	8	.	.	PUNCT
ejpam-5691	307	1	a.	a.	PROPN
ejpam-5691	307	2	fahmi	fahmi	PROPN
ejpam-5691	307	3	et	et	PROPN
ejpam-5691	307	4	al	al	PROPN
ejpam-5691	307	5	.	.	PUNCT
ejpam-5691	307	6	/	/	SYM
ejpam-5691	307	7	eur	eur	PROPN
ejpam-5691	307	8	.	.	PUNCT
ejpam-5691	308	1	j.	j.	PROPN
ejpam-5691	308	2	pure	pure	PROPN
ejpam-5691	308	3	appl	appl	PROPN
ejpam-5691	308	4	.	.	PROPN
ejpam-5691	308	5	math	math	PROPN
ejpam-5691	308	6	,	,	PUNCT
ejpam-5691	308	7	18	18	NUM
ejpam-5691	308	8	(	(	PUNCT
ejpam-5691	308	9	1	1	NUM
ejpam-5691	308	10	)	)	PUNCT
ejpam-5691	308	11	(	(	PUNCT
ejpam-5691	308	12	2025	2025	NUM
ejpam-5691	308	13	)	)	PUNCT
ejpam-5691	308	14	,	,	PUNCT
ejpam-5691	308	15	5691	5691	NUM
ejpam-5691	308	16	16	16	NUM
ejpam-5691	308	17	of	of	ADP
ejpam-5691	308	18	32	32	NUM
ejpam-5691	308	19	theorem	theorem	NOUN
ejpam-5691	308	20	6	6	NUM
ejpam-5691	308	21	.	.	PUNCT
ejpam-5691	309	1	the	the	DET
ejpam-5691	309	2	gathering	gathering	NOUN
ejpam-5691	309	3	of	of	ADP
ejpam-5691	309	4	bffns	bffns	NOUN
ejpam-5691	309	5	are	be	AUX
ejpam-5691	309	6	hj	hj	PROPN
ejpam-5691	309	7	=	=	PUNCT
ejpam-5691	309	8	{	{	PUNCT
ejpam-5691	310	1	[	[	X
ejpam-5691	310	2	κ+	κ+	PROPN
ejpam-5691	310	3	,	,	PUNCT
ejpam-5691	310	4	ς+	ς+	X
ejpam-5691	310	5	]	]	X
ejpam-5691	310	6	,	,	PUNCT
ejpam-5691	311	1	[	[	X
ejpam-5691	311	2	υ−	υ−	PROPN
ejpam-5691	311	3	,	,	PUNCT
ejpam-5691	311	4	ϑ−	ϑ−	PROPN
ejpam-5691	311	5	]	]	PUNCT
ejpam-5691	311	6	}	}	PUNCT
ejpam-5691	311	7	and	and	CCONJ
ejpam-5691	311	8	the	the	DET
ejpam-5691	311	9	weight	weight	NOUN
ejpam-5691	311	10	vector	vector	NOUN
ejpam-5691	311	11	is	be	AUX
ejpam-5691	311	12	f	f	PROPN
ejpam-5691	311	13	=	=	PUNCT
ejpam-5691	311	14	(	(	PUNCT
ejpam-5691	311	15	f1	f1	PROPN
ejpam-5691	311	16	,	,	PUNCT
ejpam-5691	311	17	f2	f2	PROPN
ejpam-5691	311	18	,	,	PUNCT
ejpam-5691	311	19	...	...	PUNCT
ejpam-5691	311	20	,	,	PUNCT
ejpam-5691	311	21	fn	fn	X
ejpam-5691	311	22	)	)	PUNCT
ejpam-5691	311	23	t	t	NOUN
ejpam-5691	311	24	with	with	ADP
ejpam-5691	311	25	fj	fj	PROPN
ejpam-5691	311	26	∈	∈	PROPN
ejpam-5691	312	1	[	[	X
ejpam-5691	312	2	0	0	NUM
ejpam-5691	312	3	,	,	PUNCT
ejpam-5691	312	4	1	1	NUM
ejpam-5691	312	5	]	]	PUNCT
ejpam-5691	312	6	and	and	CCONJ
ejpam-5691	312	7	n∑	n∑	NOUN
ejpam-5691	312	8	j=1	j=1	NOUN
ejpam-5691	312	9	fj	fj	PROPN
ejpam-5691	312	10	=	=	NOUN
ejpam-5691	312	11	1	1	X
ejpam-5691	312	12	.	.	PUNCT
ejpam-5691	312	13	then	then	ADV
ejpam-5691	312	14	it	it	PRON
ejpam-5691	312	15	is	be	AUX
ejpam-5691	312	16	said	say	VERB
ejpam-5691	312	17	bfhfhwa	bfhfhwa	NOUN
ejpam-5691	312	18	operator	operator	NOUN
ejpam-5691	312	19	and	and	CCONJ
ejpam-5691	312	20	bfhfhwa(h1	bfhfhwa(h1	ADJ
ejpam-5691	312	21	,	,	PUNCT
ejpam-5691	312	22	h2	h2	NOUN
ejpam-5691	312	23	,	,	PUNCT
ejpam-5691	312	24	...	...	PUNCT
ejpam-5691	312	25	,	,	PUNCT
ejpam-5691	312	26	hn	hn	PROPN
ejpam-5691	312	27	)	)	PUNCT
ejpam-5691	312	28	=	=	NOUN
ejpam-5691	312	29			NOUN
ejpam-5691	312	30			VERB
ejpam-5691	313	1	3	3	NUM
ejpam-5691	313	2	√√√√√√√	√√√√√√√	PROPN
ejpam-5691	313	3	n∏	n∏	PROPN
ejpam-5691	313	4	j=1	j=1	NOUN
ejpam-5691	313	5	(	(	PUNCT
ejpam-5691	313	6	1+(f−1)(κ+	1+(f−1)(κ+	NUM
ejpam-5691	313	7	j	j	NOUN
ejpam-5691	313	8	)	)	PUNCT
ejpam-5691	313	9	3)f−	3)f−	PROPN
ejpam-5691	313	10	n∏	n∏	PROPN
ejpam-5691	313	11	j=1	j=1	NOUN
ejpam-5691	313	12	(	(	PUNCT
ejpam-5691	313	13	1−(κ+	1−(κ+	NUM
ejpam-5691	313	14	j	j	NOUN
ejpam-5691	313	15	)	)	PUNCT
ejpam-5691	313	16	3)f	3)f	PROPN
ejpam-5691	313	17	n∏	n∏	PROPN
ejpam-5691	313	18	j=1	j=1	NOUN
ejpam-5691	313	19	(	(	PUNCT
ejpam-5691	313	20	1+(f−1)(1−κ+	1+(f−1)(1−κ+	NUM
ejpam-5691	313	21	j	j	NOUN
ejpam-5691	313	22	)	)	PUNCT
ejpam-5691	313	23	3)f+(f−1	3)f+(f−1	NUM
ejpam-5691	313	24	)	)	PUNCT
ejpam-5691	313	25	n∏	n∏	NOUN
ejpam-5691	313	26	j=1	j=1	NOUN
ejpam-5691	313	27	(	(	PUNCT
ejpam-5691	313	28	(	(	PUNCT
ejpam-5691	313	29	1−κ+	1−κ+	NUM
ejpam-5691	313	30	j	j	NOUN
ejpam-5691	313	31	)	)	PUNCT
ejpam-5691	313	32	3)f	3)f	NOUN
ejpam-5691	313	33	,	,	PUNCT
ejpam-5691	313	34	3	3	NUM
ejpam-5691	313	35	√√√√√√√	√√√√√√√	PROPN
ejpam-5691	313	36	n∏	n∏	PROPN
ejpam-5691	313	37	j=1	j=1	NOUN
ejpam-5691	313	38	(	(	PUNCT
ejpam-5691	313	39	1+(f−1)(ς+j	1+(f−1)(ς+j	NUM
ejpam-5691	313	40	)	)	PUNCT
ejpam-5691	313	41	3)f−	3)f−	PROPN
ejpam-5691	313	42	n∏	n∏	PROPN
ejpam-5691	313	43	j=1	j=1	NOUN
ejpam-5691	313	44	(	(	PUNCT
ejpam-5691	313	45	1−(ς+j	1−(ς+j	NUM
ejpam-5691	313	46	)	)	PUNCT
ejpam-5691	313	47	3)f	3)f	PROPN
ejpam-5691	313	48	n∏	n∏	PROPN
ejpam-5691	313	49	j=1	j=1	NOUN
ejpam-5691	313	50	(	(	PUNCT
ejpam-5691	313	51	1+(f−1)(ς+j	1+(f−1)(ς+j	NUM
ejpam-5691	313	52	)	)	PUNCT
ejpam-5691	313	53	3)f+(f−1	3)f+(f−1	NUM
ejpam-5691	313	54	)	)	PUNCT
ejpam-5691	313	55	n∏	n∏	NOUN
ejpam-5691	313	56	j=1	j=1	NOUN
ejpam-5691	313	57	(	(	PUNCT
ejpam-5691	313	58	1−(ς+j	1−(ς+j	NUM
ejpam-5691	313	59	)	)	PUNCT
ejpam-5691	313	60	3)f	3)f	NOUN
ejpam-5691	313	61			NOUN
ejpam-5691	313	62	,	,	PUNCT
ejpam-5691	313	63			NOUN
ejpam-5691	313	64	3√f	3√f	PROPN
ejpam-5691	313	65	n∏	n∏	PROPN
ejpam-5691	314	1	j=1	j=1	NOUN
ejpam-5691	314	2	(	(	PUNCT
ejpam-5691	314	3	υ−	υ−	PROPN
ejpam-5691	314	4	j	j	PROPN
ejpam-5691	314	5	)	)	PUNCT
ejpam-5691	314	6	f	f	PROPN
ejpam-5691	314	7	3	3	NUM
ejpam-5691	314	8	√√√√	√√√√	NOUN
ejpam-5691	314	9	n∏	n∏	NOUN
ejpam-5691	314	10	j=1	j=1	NOUN
ejpam-5691	314	11	(	(	PUNCT
ejpam-5691	314	12	1+(f−1)(υ−	1+(f−1)(υ−	NUM
ejpam-5691	314	13	j	j	NOUN
ejpam-5691	314	14	)	)	PUNCT
ejpam-5691	314	15	3)f+(f−1	3)f+(f−1	NUM
ejpam-5691	314	16	)	)	PUNCT
ejpam-5691	314	17	n∏	n∏	NOUN
ejpam-5691	314	18	j=1	j=1	NOUN
ejpam-5691	314	19	(	(	PUNCT
ejpam-5691	314	20	1−(υ−	1−(υ−	NUM
ejpam-5691	314	21	j	j	PROPN
ejpam-5691	314	22	)	)	PUNCT
ejpam-5691	314	23	3)f	3)f	NOUN
ejpam-5691	314	24	,	,	PUNCT
ejpam-5691	314	25	3√f	3√f	PROPN
ejpam-5691	314	26	n∏	n∏	PROPN
ejpam-5691	314	27	j=1	j=1	NOUN
ejpam-5691	314	28	(	(	PUNCT
ejpam-5691	314	29	ϑ−	ϑ−	PROPN
ejpam-5691	314	30	j	j	NOUN
ejpam-5691	314	31	)	)	PUNCT
ejpam-5691	314	32	f	f	PROPN
ejpam-5691	314	33	3	3	NUM
ejpam-5691	314	34	√√√√	√√√√	NOUN
ejpam-5691	314	35	n∏	n∏	NOUN
ejpam-5691	314	36	j=1	j=1	NOUN
ejpam-5691	314	37	(	(	PUNCT
ejpam-5691	314	38	1+(f−1)(ϑ−	1+(f−1)(ϑ−	NUM
ejpam-5691	314	39	j	j	PROPN
ejpam-5691	314	40	)	)	PUNCT
ejpam-5691	314	41	3)f+(f−1	3)f+(f−1	NUM
ejpam-5691	314	42	)	)	PUNCT
ejpam-5691	314	43	n∏	n∏	NOUN
ejpam-5691	314	44	j=1	j=1	NOUN
ejpam-5691	314	45	(	(	PUNCT
ejpam-5691	314	46	1−(ϑ−	1−(ϑ−	NUM
ejpam-5691	314	47	j	j	NOUN
ejpam-5691	314	48	)	)	PUNCT
ejpam-5691	314	49	3)f	3)f	NOUN
ejpam-5691	314	50			PROPN
ejpam-5691	314	51			NUM
ejpam-5691	314	52	.	.	PUNCT
ejpam-5691	315	1	proof	proof	NOUN
ejpam-5691	315	2	:	:	PUNCT
ejpam-5691	315	3	this	this	DET
ejpam-5691	315	4	proof	proof	NOUN
ejpam-5691	315	5	is	be	AUX
ejpam-5691	315	6	straightforward	straightforward	ADJ
ejpam-5691	315	7	theorem	theorem	ADJ
ejpam-5691	315	8	7	7	NUM
ejpam-5691	315	9	.	.	PUNCT
ejpam-5691	315	10	(	(	PUNCT
ejpam-5691	315	11	idempotency):if	idempotency):if	PROPN
ejpam-5691	315	12	r̃y	r̃y	NOUN
ejpam-5691	315	13	=	=	SYM
ejpam-5691	315	14	{	{	PUNCT
ejpam-5691	315	15	[	[	X
ejpam-5691	315	16	κ+	κ+	PROPN
ejpam-5691	315	17	,	,	PUNCT
ejpam-5691	315	18	ς+	ς+	X
ejpam-5691	315	19	]	]	X
ejpam-5691	315	20	,	,	PUNCT
ejpam-5691	315	21	[	[	X
ejpam-5691	315	22	υ−	υ−	PROPN
ejpam-5691	315	23	,	,	PUNCT
ejpam-5691	315	24	ϑ−	ϑ−	PROPN
ejpam-5691	315	25	]	]	PUNCT
ejpam-5691	315	26	}	}	PUNCT
ejpam-5691	315	27	for	for	ADP
ejpam-5691	315	28	all	all	DET
ejpam-5691	315	29	l	l	NOUN
ejpam-5691	315	30	=	=	SYM
ejpam-5691	315	31	1	1	NUM
ejpam-5691	315	32	,	,	PUNCT
ejpam-5691	315	33	2	2	NUM
ejpam-5691	315	34	,	,	PUNCT
ejpam-5691	315	35	3	3	NUM
ejpam-5691	315	36	,	,	PUNCT
ejpam-5691	315	37	...	...	PUNCT
ejpam-5691	315	38	,	,	PUNCT
ejpam-5691	315	39	m	m	PROPN
ejpam-5691	315	40	,	,	PUNCT
ejpam-5691	315	41	then	then	ADV
ejpam-5691	315	42	bfhfhwa(ry	bfhfhwa(ry	PROPN
ejpam-5691	315	43	,	,	PUNCT
ejpam-5691	315	44	ry	ry	NOUN
ejpam-5691	315	45	,	,	PUNCT
ejpam-5691	315	46	ry	ry	PROPN
ejpam-5691	315	47	,	,	PUNCT
ejpam-5691	315	48	...	...	PUNCT
ejpam-5691	315	49	,	,	PUNCT
ejpam-5691	315	50	ry	ry	NOUN
ejpam-5691	315	51	)	)	PUNCT
ejpam-5691	316	1	=	=	PUNCT
ejpam-5691	316	2	ry	ry	NOUN
ejpam-5691	316	3	.	.	PUNCT
ejpam-5691	316	4	proof	proof	NOUN
ejpam-5691	316	5	:	:	PUNCT
ejpam-5691	316	6	this	this	DET
ejpam-5691	316	7	proof	proof	NOUN
ejpam-5691	316	8	is	be	AUX
ejpam-5691	316	9	straightforward	straightforward	ADJ
ejpam-5691	316	10	theorem	theorem	ADJ
ejpam-5691	316	11	8	8	NUM
ejpam-5691	316	12	.	.	PUNCT
ejpam-5691	317	1	(	(	PUNCT
ejpam-5691	317	2	boundedness):if	boundedness):if	VERB
ejpam-5691	317	3	y	y	NOUN
ejpam-5691	318	1	−	−	PROPN
ejpam-5691	318	2	=	=	PUNCT
ejpam-5691	318	3	min(b1	min(b1	PROPN
ejpam-5691	318	4	,	,	PUNCT
ejpam-5691	318	5	b2	b2	NOUN
ejpam-5691	318	6	,	,	PUNCT
ejpam-5691	318	7	...	...	PUNCT
ejpam-5691	318	8	,	,	PUNCT
ejpam-5691	318	9	bn	bn	ADJ
ejpam-5691	318	10	)	)	PUNCT
ejpam-5691	318	11	,	,	PUNCT
ejpam-5691	318	12	y	y	PROPN
ejpam-5691	319	1	+	+	CCONJ
ejpam-5691	319	2	=	=	SYM
ejpam-5691	319	3	max(b1	max(b1	PROPN
ejpam-5691	319	4	,	,	PUNCT
ejpam-5691	319	5	b2	b2	NOUN
ejpam-5691	319	6	,	,	PUNCT
ejpam-5691	319	7	...	...	PUNCT
ejpam-5691	319	8	,	,	PUNCT
ejpam-5691	319	9	bn	bn	NOUN
ejpam-5691	319	10	)	)	PUNCT
ejpam-5691	319	11	,	,	PUNCT
ejpam-5691	319	12	then	then	ADV
ejpam-5691	319	13	y	y	PROPN
ejpam-5691	319	14	−	−	PROPN
ejpam-5691	319	15	≤bfhfhwa(b1	≤bfhfhwa(b1	PROPN
ejpam-5691	319	16	,	,	PUNCT
ejpam-5691	319	17	b2	b2	NOUN
ejpam-5691	319	18	,	,	PUNCT
ejpam-5691	319	19	...	...	PUNCT
ejpam-5691	319	20	,	,	PUNCT
ejpam-5691	319	21	bn	bn	X
ejpam-5691	319	22	)	)	PUNCT
ejpam-5691	319	23	≤	≤	NOUN
ejpam-5691	320	1	y	y	PROPN
ejpam-5691	320	2	+	+	PROPN
ejpam-5691	320	3	.	.	PUNCT
ejpam-5691	320	4	proof	proof	NOUN
ejpam-5691	320	5	:	:	PUNCT
ejpam-5691	320	6	this	this	DET
ejpam-5691	320	7	proof	proof	NOUN
ejpam-5691	320	8	is	be	AUX
ejpam-5691	320	9	straightforward	straightforward	ADJ
ejpam-5691	320	10	5	5	NUM
ejpam-5691	320	11	.	.	PUNCT
ejpam-5691	320	12	multiple	multiple	ADJ
ejpam-5691	320	13	criteria	criterion	NOUN
ejpam-5691	320	14	decision	decision	NOUN
ejpam-5691	320	15	making	make	VERB
ejpam-5691	320	16	technique	technique	NOUN
ejpam-5691	320	17	on	on	ADP
ejpam-5691	320	18	bipolar	bipolar	ADJ
ejpam-5691	320	19	fermatean	fermatean	ADJ
ejpam-5691	320	20	fuzzy	fuzzy	ADJ
ejpam-5691	320	21	idea	idea	NOUN
ejpam-5691	320	22	step	step	NOUN
ejpam-5691	320	23	1	1	NUM
ejpam-5691	320	24	:	:	PUNCT
ejpam-5691	320	25	explain	explain	VERB
ejpam-5691	320	26	the	the	DET
ejpam-5691	320	27	bff	bff	NOUN
ejpam-5691	320	28	decision	decision	NOUN
ejpam-5691	320	29	matrix	matrix	NOUN
ejpam-5691	320	30	step	step	NOUN
ejpam-5691	320	31	2	2	NUM
ejpam-5691	320	32	:	:	PUNCT
ejpam-5691	320	33	explain	explain	VERB
ejpam-5691	320	34	the	the	DET
ejpam-5691	320	35	bfhfwa	bfhfwa	NOUN
ejpam-5691	320	36	operator	operator	NOUN
ejpam-5691	320	37	and	and	CCONJ
ejpam-5691	320	38	λ	λ	X
ejpam-5691	320	39	=	=	SYM
ejpam-5691	320	40	(	(	PUNCT
ejpam-5691	320	41	λ1	λ1	ADJ
ejpam-5691	320	42	,	,	PUNCT
ejpam-5691	320	43	λ2	λ2	NOUN
ejpam-5691	320	44	,	,	PUNCT
ejpam-5691	320	45	...	...	PUNCT
ejpam-5691	320	46	,	,	PUNCT
ejpam-5691	320	47	λn	λn	NOUN
ejpam-5691	320	48	)	)	PUNCT
ejpam-5691	320	49	.	.	PUNCT
ejpam-5691	321	1	bfhfwa(a1	bfhfwa(a1	PROPN
ejpam-5691	321	2	,	,	PUNCT
ejpam-5691	321	3	a2	a2	PROPN
ejpam-5691	321	4	,	,	PUNCT
ejpam-5691	321	5	...	...	PUNCT
ejpam-5691	321	6	,	,	PUNCT
ejpam-5691	321	7	an	an	X
ejpam-5691	321	8	)	)	PUNCT
ejpam-5691	321	9	=	=	SYM
ejpam-5691	321	10	a.	a.	NOUN
ejpam-5691	321	11	fahmi	fahmi	PROPN
ejpam-5691	321	12	et	et	PROPN
ejpam-5691	321	13	al	al	PROPN
ejpam-5691	321	14	.	.	PUNCT
ejpam-5691	321	15	/	/	SYM
ejpam-5691	321	16	eur	eur	PROPN
ejpam-5691	321	17	.	.	PUNCT
ejpam-5691	322	1	j.	j.	PROPN
ejpam-5691	322	2	pure	pure	PROPN
ejpam-5691	322	3	appl	appl	PROPN
ejpam-5691	322	4	.	.	PROPN
ejpam-5691	322	5	math	math	PROPN
ejpam-5691	322	6	,	,	PUNCT
ejpam-5691	322	7	18	18	NUM
ejpam-5691	322	8	(	(	PUNCT
ejpam-5691	322	9	1	1	NUM
ejpam-5691	322	10	)	)	PUNCT
ejpam-5691	322	11	(	(	PUNCT
ejpam-5691	322	12	2025	2025	NUM
ejpam-5691	322	13	)	)	PUNCT
ejpam-5691	322	14	,	,	PUNCT
ejpam-5691	322	15	5691	5691	NUM
ejpam-5691	322	16	17	17	NUM
ejpam-5691	322	17	of	of	ADP
ejpam-5691	322	18	32	32	NUM
ejpam-5691	322	19			NOUN
ejpam-5691	322	20	3	3	NUM
ejpam-5691	322	21	√√√√√√√	√√√√√√√	PROPN
ejpam-5691	322	22	n∏	n∏	PROPN
ejpam-5691	322	23	j=1	j=1	NOUN
ejpam-5691	322	24	(	(	PUNCT
ejpam-5691	322	25	1+(λ−1)(κ+	1+(λ−1)(κ+	NUM
ejpam-5691	322	26	j	j	NOUN
ejpam-5691	322	27	)	)	PUNCT
ejpam-5691	322	28	3)λ−	3)λ−	NUM
ejpam-5691	322	29	n∏	n∏	NOUN
ejpam-5691	322	30	j=1	j=1	NOUN
ejpam-5691	322	31	(	(	PUNCT
ejpam-5691	322	32	1−(κ+	1−(κ+	NUM
ejpam-5691	322	33	j	j	NOUN
ejpam-5691	322	34	)	)	PUNCT
ejpam-5691	322	35	3)λ	3)λ	PROPN
ejpam-5691	322	36	n∏	n∏	PROPN
ejpam-5691	322	37	j=1	j=1	NOUN
ejpam-5691	322	38	(	(	PUNCT
ejpam-5691	322	39	1+(λ−1)(1−κ+	1+(λ−1)(1−κ+	NUM
ejpam-5691	322	40	j	j	PROPN
ejpam-5691	322	41	)	)	PUNCT
ejpam-5691	322	42	3)λ+(λ−1	3)λ+(λ−1	NUM
ejpam-5691	322	43	)	)	PUNCT
ejpam-5691	323	1	n∏	n∏	NOUN
ejpam-5691	323	2	j=1	j=1	NOUN
ejpam-5691	323	3	(	(	PUNCT
ejpam-5691	323	4	(	(	PUNCT
ejpam-5691	323	5	1−κ+	1−κ+	NUM
ejpam-5691	323	6	j	j	NOUN
ejpam-5691	323	7	)	)	PUNCT
ejpam-5691	323	8	3)λ	3)λ	PROPN
ejpam-5691	323	9	,	,	PUNCT
ejpam-5691	323	10	3	3	NUM
ejpam-5691	323	11	√√√√√√√	√√√√√√√	PROPN
ejpam-5691	323	12	n∏	n∏	PROPN
ejpam-5691	323	13	j=1	j=1	NOUN
ejpam-5691	323	14	(	(	PUNCT
ejpam-5691	323	15	1+(λ−1)(ς+j	1+(λ−1)(ς+j	NUM
ejpam-5691	323	16	)	)	PUNCT
ejpam-5691	323	17	3)λ−	3)λ−	NUM
ejpam-5691	323	18	n∏	n∏	NOUN
ejpam-5691	323	19	j=1	j=1	NOUN
ejpam-5691	323	20	(	(	PUNCT
ejpam-5691	323	21	1−(ς+j	1−(ς+j	NUM
ejpam-5691	323	22	)	)	PUNCT
ejpam-5691	323	23	3)λ	3)λ	PROPN
ejpam-5691	323	24	n∏	n∏	PROPN
ejpam-5691	323	25	j=1	j=1	NOUN
ejpam-5691	323	26	(	(	PUNCT
ejpam-5691	323	27	1+(λ−1)(ς+j	1+(λ−1)(ς+j	PROPN
ejpam-5691	323	28	)	)	PUNCT
ejpam-5691	323	29	3)λ+(λ−1	3)λ+(λ−1	NUM
ejpam-5691	323	30	)	)	PUNCT
ejpam-5691	323	31	n∏	n∏	NOUN
ejpam-5691	323	32	j=1	j=1	NOUN
ejpam-5691	323	33	(	(	PUNCT
ejpam-5691	323	34	1−(ς+j	1−(ς+j	NUM
ejpam-5691	323	35	)	)	PUNCT
ejpam-5691	323	36	3)λ	3)λ	NUM
ejpam-5691	323	37			NOUN
ejpam-5691	323	38	,	,	PUNCT
ejpam-5691	323	39			NOUN
ejpam-5691	323	40	3√	3√	NOUN
ejpam-5691	323	41	λ	λ	PROPN
ejpam-5691	323	42	n∏	n∏	PROPN
ejpam-5691	323	43	j=1	j=1	NOUN
ejpam-5691	323	44	(	(	PUNCT
ejpam-5691	323	45	υ−	υ−	PROPN
ejpam-5691	323	46	j	j	PROPN
ejpam-5691	323	47	)	)	PUNCT
ejpam-5691	323	48	λ	λ	NOUN
ejpam-5691	323	49	3	3	NUM
ejpam-5691	323	50	√√√√	√√√√	NOUN
ejpam-5691	323	51	n∏	n∏	NOUN
ejpam-5691	323	52	j=1	j=1	NOUN
ejpam-5691	323	53	(	(	PUNCT
ejpam-5691	323	54	1+(λ−1)(υ−	1+(λ−1)(υ−	NUM
ejpam-5691	323	55	j	j	PROPN
ejpam-5691	323	56	)	)	PUNCT
ejpam-5691	323	57	3)λ+(λ−1	3)λ+(λ−1	NUM
ejpam-5691	323	58	)	)	PUNCT
ejpam-5691	323	59	n∏	n∏	NOUN
ejpam-5691	323	60	j=1	j=1	NOUN
ejpam-5691	323	61	(	(	PUNCT
ejpam-5691	323	62	1−(υ−	1−(υ−	NUM
ejpam-5691	323	63	j	j	NOUN
ejpam-5691	323	64	)	)	PUNCT
ejpam-5691	323	65	3)λ	3)λ	PROPN
ejpam-5691	323	66	,	,	PUNCT
ejpam-5691	323	67	3√	3√	PROPN
ejpam-5691	323	68	λ	λ	PROPN
ejpam-5691	323	69	n∏	n∏	NOUN
ejpam-5691	323	70	j=1	j=1	NOUN
ejpam-5691	323	71	(	(	PUNCT
ejpam-5691	323	72	ϑ−	ϑ−	PROPN
ejpam-5691	323	73	j	j	NOUN
ejpam-5691	323	74	)	)	PUNCT
ejpam-5691	323	75	λ	λ	NOUN
ejpam-5691	323	76	3	3	NUM
ejpam-5691	323	77	√√√√	√√√√	NOUN
ejpam-5691	323	78	n∏	n∏	NOUN
ejpam-5691	323	79	j=1	j=1	NOUN
ejpam-5691	323	80	(	(	PUNCT
ejpam-5691	323	81	1+(λ−1)(ϑ−	1+(λ−1)(ϑ−	NUM
ejpam-5691	323	82	j	j	PROPN
ejpam-5691	323	83	)	)	PUNCT
ejpam-5691	323	84	3)λ+(λ−1	3)λ+(λ−1	NUM
ejpam-5691	323	85	)	)	PUNCT
ejpam-5691	323	86	n∏	n∏	NOUN
ejpam-5691	323	87	j=1	j=1	NOUN
ejpam-5691	323	88	(	(	PUNCT
ejpam-5691	323	89	1−(ϑ−	1−(ϑ−	NUM
ejpam-5691	323	90	j	j	NOUN
ejpam-5691	323	91	)	)	PUNCT
ejpam-5691	323	92	3)λ	3)λ	PROPN
ejpam-5691	323	93			PROPN
ejpam-5691	323	94			NUM
ejpam-5691	323	95	step	step	NOUN
ejpam-5691	323	96	3	3	NUM
ejpam-5691	323	97	:	:	PUNCT
ejpam-5691	323	98	describe	describe	VERB
ejpam-5691	323	99	the	the	DET
ejpam-5691	323	100	bfhfwa	bfhfwa	NOUN
ejpam-5691	323	101	operator	operator	NOUN
ejpam-5691	323	102	and	and	CCONJ
ejpam-5691	323	103	λ	λ	X
ejpam-5691	323	104	=	=	SYM
ejpam-5691	323	105	(	(	PUNCT
ejpam-5691	323	106	λ1	λ1	ADJ
ejpam-5691	323	107	,	,	PUNCT
ejpam-5691	323	108	λ2	λ2	NOUN
ejpam-5691	323	109	,	,	PUNCT
ejpam-5691	323	110	...	...	PUNCT
ejpam-5691	323	111	,	,	PUNCT
ejpam-5691	323	112	λn	λn	NOUN
ejpam-5691	323	113	)	)	PUNCT
ejpam-5691	323	114	.	.	PUNCT
ejpam-5691	324	1	bfhfwa(a1	bfhfwa(a1	PROPN
ejpam-5691	324	2	,	,	PUNCT
ejpam-5691	324	3	a2	a2	PROPN
ejpam-5691	324	4	,	,	PUNCT
ejpam-5691	324	5	...	...	PUNCT
ejpam-5691	324	6	,	,	PUNCT
ejpam-5691	324	7	an	an	X
ejpam-5691	324	8	)	)	PUNCT
ejpam-5691	324	9	=	=	NOUN
ejpam-5691	324	10			NOUN
ejpam-5691	324	11			VERB
ejpam-5691	324	12	3	3	NUM
ejpam-5691	324	13	√√√√√√√	√√√√√√√	PROPN
ejpam-5691	324	14	n∏	n∏	PROPN
ejpam-5691	324	15	j=1	j=1	NOUN
ejpam-5691	324	16	(	(	PUNCT
ejpam-5691	324	17	1+(λ−1)(κ+	1+(λ−1)(κ+	NUM
ejpam-5691	324	18	j	j	NOUN
ejpam-5691	324	19	)	)	PUNCT
ejpam-5691	324	20	3)λ−	3)λ−	NUM
ejpam-5691	324	21	n∏	n∏	NOUN
ejpam-5691	325	1	j=1	j=1	NOUN
ejpam-5691	325	2	(	(	PUNCT
ejpam-5691	325	3	1−(κ+	1−(κ+	NUM
ejpam-5691	325	4	j	j	NOUN
ejpam-5691	325	5	)	)	PUNCT
ejpam-5691	325	6	3)λ	3)λ	PROPN
ejpam-5691	325	7	n∏	n∏	PROPN
ejpam-5691	325	8	j=1	j=1	NOUN
ejpam-5691	325	9	(	(	PUNCT
ejpam-5691	325	10	1+(λ−1)(1−κ+	1+(λ−1)(1−κ+	NUM
ejpam-5691	325	11	j	j	PROPN
ejpam-5691	325	12	)	)	PUNCT
ejpam-5691	325	13	3)λ+(λ−1	3)λ+(λ−1	NUM
ejpam-5691	325	14	)	)	PUNCT
ejpam-5691	325	15	n∏	n∏	NOUN
ejpam-5691	325	16	j=1	j=1	NOUN
ejpam-5691	325	17	(	(	PUNCT
ejpam-5691	325	18	(	(	PUNCT
ejpam-5691	325	19	1−κ+	1−κ+	NUM
ejpam-5691	325	20	j	j	NOUN
ejpam-5691	325	21	)	)	PUNCT
ejpam-5691	325	22	3)λ	3)λ	PROPN
ejpam-5691	325	23	,	,	PUNCT
ejpam-5691	325	24	3	3	NUM
ejpam-5691	325	25	√√√√√√√	√√√√√√√	PROPN
ejpam-5691	325	26	n∏	n∏	PROPN
ejpam-5691	325	27	j=1	j=1	NOUN
ejpam-5691	325	28	(	(	PUNCT
ejpam-5691	325	29	1+(λ−1)(ς+j	1+(λ−1)(ς+j	NUM
ejpam-5691	325	30	)	)	PUNCT
ejpam-5691	325	31	3)λ−	3)λ−	NUM
ejpam-5691	325	32	n∏	n∏	NOUN
ejpam-5691	325	33	j=1	j=1	NOUN
ejpam-5691	325	34	(	(	PUNCT
ejpam-5691	325	35	1−(ς+j	1−(ς+j	NUM
ejpam-5691	325	36	)	)	PUNCT
ejpam-5691	325	37	3)λ	3)λ	PROPN
ejpam-5691	326	1	n∏	n∏	PROPN
ejpam-5691	326	2	j=1	j=1	NOUN
ejpam-5691	326	3	(	(	PUNCT
ejpam-5691	326	4	1+(λ−1)(ς+j	1+(λ−1)(ς+j	PROPN
ejpam-5691	326	5	)	)	PUNCT
ejpam-5691	326	6	3)λ+(λ−1	3)λ+(λ−1	NUM
ejpam-5691	326	7	)	)	PUNCT
ejpam-5691	326	8	n∏	n∏	NOUN
ejpam-5691	327	1	j=1	j=1	NOUN
ejpam-5691	327	2	(	(	PUNCT
ejpam-5691	327	3	1−(ς+j	1−(ς+j	NUM
ejpam-5691	327	4	)	)	PUNCT
ejpam-5691	327	5	3)λ	3)λ	NUM
ejpam-5691	327	6			NOUN
ejpam-5691	327	7	,	,	PUNCT
ejpam-5691	327	8			NOUN
ejpam-5691	327	9	3√	3√	NOUN
ejpam-5691	327	10	λ	λ	PROPN
ejpam-5691	327	11	n∏	n∏	PROPN
ejpam-5691	327	12	j=1	j=1	NOUN
ejpam-5691	327	13	(	(	PUNCT
ejpam-5691	327	14	υ−	υ−	PROPN
ejpam-5691	327	15	j	j	PROPN
ejpam-5691	327	16	)	)	PUNCT
ejpam-5691	327	17	λ	λ	NOUN
ejpam-5691	327	18	3	3	NUM
ejpam-5691	327	19	√√√√	√√√√	NOUN
ejpam-5691	327	20	n∏	n∏	NOUN
ejpam-5691	327	21	j=1	j=1	NOUN
ejpam-5691	327	22	(	(	PUNCT
ejpam-5691	327	23	1+(λ−1)(υ−	1+(λ−1)(υ−	NUM
ejpam-5691	327	24	j	j	PROPN
ejpam-5691	327	25	)	)	PUNCT
ejpam-5691	327	26	3)λ+(λ−1	3)λ+(λ−1	NUM
ejpam-5691	327	27	)	)	PUNCT
ejpam-5691	327	28	n∏	n∏	NOUN
ejpam-5691	327	29	j=1	j=1	NOUN
ejpam-5691	327	30	(	(	PUNCT
ejpam-5691	327	31	1−(υ−	1−(υ−	NUM
ejpam-5691	327	32	j	j	NOUN
ejpam-5691	327	33	)	)	PUNCT
ejpam-5691	327	34	3)λ	3)λ	PROPN
ejpam-5691	327	35	,	,	PUNCT
ejpam-5691	327	36	3√	3√	PROPN
ejpam-5691	327	37	λ	λ	PROPN
ejpam-5691	327	38	n∏	n∏	NOUN
ejpam-5691	327	39	j=1	j=1	NOUN
ejpam-5691	327	40	(	(	PUNCT
ejpam-5691	327	41	ϑ−	ϑ−	PROPN
ejpam-5691	327	42	j	j	NOUN
ejpam-5691	327	43	)	)	PUNCT
ejpam-5691	327	44	λ	λ	NOUN
ejpam-5691	327	45	3	3	NUM
ejpam-5691	327	46	√√√√	√√√√	NOUN
ejpam-5691	327	47	n∏	n∏	NOUN
ejpam-5691	327	48	j=1	j=1	NOUN
ejpam-5691	327	49	(	(	PUNCT
ejpam-5691	327	50	1+(λ−1)(ϑ−	1+(λ−1)(ϑ−	NUM
ejpam-5691	327	51	j	j	PROPN
ejpam-5691	327	52	)	)	PUNCT
ejpam-5691	327	53	3)λ+(λ−1	3)λ+(λ−1	NUM
ejpam-5691	327	54	)	)	PUNCT
ejpam-5691	327	55	n∏	n∏	NOUN
ejpam-5691	327	56	j=1	j=1	NOUN
ejpam-5691	327	57	(	(	PUNCT
ejpam-5691	327	58	1−(ϑ−	1−(ϑ−	NUM
ejpam-5691	327	59	j	j	NOUN
ejpam-5691	327	60	)	)	PUNCT
ejpam-5691	327	61	3)λ	3)λ	PROPN
ejpam-5691	327	62			PROPN
ejpam-5691	327	63			NUM
ejpam-5691	327	64	step	step	NOUN
ejpam-5691	327	65	4	4	NUM
ejpam-5691	327	66	:	:	PUNCT
ejpam-5691	327	67	find	find	VERB
ejpam-5691	327	68	the	the	DET
ejpam-5691	327	69	score	score	NOUN
ejpam-5691	327	70	function	function	NOUN
ejpam-5691	327	71	step	step	NOUN
ejpam-5691	327	72	5	5	NUM
ejpam-5691	327	73	:	:	PUNCT
ejpam-5691	327	74	find	find	VERB
ejpam-5691	327	75	the	the	DET
ejpam-5691	327	76	ranking	ranking	NOUN
ejpam-5691	327	77	.	.	PUNCT
ejpam-5691	328	1	a.	a.	PROPN
ejpam-5691	328	2	fahmi	fahmi	PROPN
ejpam-5691	328	3	et	et	PROPN
ejpam-5691	328	4	al	al	PROPN
ejpam-5691	328	5	.	.	PUNCT
ejpam-5691	328	6	/	/	SYM
ejpam-5691	328	7	eur	eur	PROPN
ejpam-5691	328	8	.	.	PUNCT
ejpam-5691	329	1	j.	j.	PROPN
ejpam-5691	329	2	pure	pure	PROPN
ejpam-5691	329	3	appl	appl	PROPN
ejpam-5691	329	4	.	.	PROPN
ejpam-5691	329	5	math	math	PROPN
ejpam-5691	329	6	,	,	PUNCT
ejpam-5691	329	7	18	18	NUM
ejpam-5691	329	8	(	(	PUNCT
ejpam-5691	329	9	1	1	NUM
ejpam-5691	329	10	)	)	PUNCT
ejpam-5691	329	11	(	(	PUNCT
ejpam-5691	329	12	2025	2025	NUM
ejpam-5691	329	13	)	)	PUNCT
ejpam-5691	329	14	,	,	PUNCT
ejpam-5691	329	15	5691	5691	NUM
ejpam-5691	329	16	18	18	NUM
ejpam-5691	329	17	of	of	ADP
ejpam-5691	329	18	32	32	NUM
ejpam-5691	329	19	6	6	NUM
ejpam-5691	329	20	.	.	PUNCT
ejpam-5691	330	1	case	case	NOUN
ejpam-5691	330	2	study	study	VERB
ejpam-5691	330	3	this	this	DET
ejpam-5691	330	4	section	section	NOUN
ejpam-5691	330	5	examines	examine	VERB
ejpam-5691	330	6	the	the	DET
ejpam-5691	330	7	potential	potential	ADJ
ejpam-5691	330	8	environmental	environmental	NOUN
ejpam-5691	330	9	of	of	ADP
ejpam-5691	330	10	the	the	DET
ejpam-5691	330	11	health	health	NOUN
ejpam-5691	330	12	impacts	impact	NOUN
ejpam-5691	330	13	of	of	ADP
ejpam-5691	330	14	e	e	NOUN
ejpam-5691	330	15	-	-	NOUN
ejpam-5691	330	16	waste	waste	NOUN
ejpam-5691	330	17	,	,	PUNCT
ejpam-5691	330	18	focusing	focus	VERB
ejpam-5691	330	19	on	on	ADP
ejpam-5691	330	20	the	the	DET
ejpam-5691	330	21	complex	complex	ADJ
ejpam-5691	330	22	challenges	challenge	NOUN
ejpam-5691	330	23	and	and	CCONJ
ejpam-5691	330	24	issues	issue	NOUN
ejpam-5691	330	25	related	relate	VERB
ejpam-5691	330	26	with	with	ADP
ejpam-5691	330	27	e	e	NOUN
ejpam-5691	330	28	-	-	NOUN
ejpam-5691	330	29	waste	waste	ADJ
ejpam-5691	330	30	organization	organization	NOUN
ejpam-5691	330	31	in	in	ADP
ejpam-5691	330	32	porcelain	porcelain	NOUN
ejpam-5691	330	33	.	.	PUNCT
ejpam-5691	331	1	additionally	additionally	ADV
ejpam-5691	331	2	,	,	PUNCT
ejpam-5691	331	3	it	it	PRON
ejpam-5691	331	4	aims	aim	VERB
ejpam-5691	331	5	to	to	PART
ejpam-5691	331	6	provide	provide	VERB
ejpam-5691	331	7	valuable	valuable	ADJ
ejpam-5691	331	8	insights	insight	NOUN
ejpam-5691	331	9	for	for	ADP
ejpam-5691	331	10	improving	improve	VERB
ejpam-5691	331	11	the	the	DET
ejpam-5691	331	12	country	country	NOUN
ejpam-5691	331	13	’s	’s	PART
ejpam-5691	331	14	e	e	NOUN
ejpam-5691	331	15	-	-	ADJ
ejpam-5691	331	16	waste	waste	ADJ
ejpam-5691	331	17	recycling	recycling	NOUN
ejpam-5691	331	18	framework	framework	NOUN
ejpam-5691	331	19	.	.	PUNCT
ejpam-5691	332	1	presently	presently	ADV
ejpam-5691	332	2	,	,	PUNCT
ejpam-5691	332	3	china	china	PROPN
ejpam-5691	332	4	stands	stand	VERB
ejpam-5691	332	5	as	as	ADP
ejpam-5691	332	6	a	a	DET
ejpam-5691	332	7	significant	significant	ADJ
ejpam-5691	332	8	consumer	consumer	NOUN
ejpam-5691	332	9	of	of	ADP
ejpam-5691	332	10	electronic	electronic	ADJ
ejpam-5691	332	11	products	product	NOUN
ejpam-5691	332	12	and	and	CCONJ
ejpam-5691	332	13	a	a	DET
ejpam-5691	332	14	major	major	ADJ
ejpam-5691	332	15	importer	importer	NOUN
ejpam-5691	332	16	of	of	ADP
ejpam-5691	332	17	e	e	NOUN
ejpam-5691	332	18	-	-	NOUN
ejpam-5691	332	19	waste	waste	NOUN
ejpam-5691	332	20	,	,	PUNCT
ejpam-5691	332	21	driven	drive	VERB
ejpam-5691	332	22	by	by	ADP
ejpam-5691	332	23	the	the	DET
ejpam-5691	332	24	rapid	rapid	ADJ
ejpam-5691	332	25	advancement	advancement	NOUN
ejpam-5691	332	26	of	of	ADP
ejpam-5691	332	27	electrical	electrical	ADJ
ejpam-5691	332	28	and	and	CCONJ
ejpam-5691	332	29	electronic	electronic	ADJ
ejpam-5691	332	30	systems	system	NOUN
ejpam-5691	332	31	alongside	alongside	ADP
ejpam-5691	332	32	its	its	PRON
ejpam-5691	332	33	economic	economic	ADJ
ejpam-5691	332	34	growth	growth	NOUN
ejpam-5691	332	35	.	.	PUNCT
ejpam-5691	333	1	domestic	domestic	ADJ
ejpam-5691	333	2	e	e	ADJ
ejpam-5691	333	3	-	-	NOUN
ejpam-5691	333	4	waste	waste	ADJ
ejpam-5691	333	5	flows	flow	NOUN
ejpam-5691	333	6	in	in	ADP
ejpam-5691	333	7	china	china	PROPN
ejpam-5691	333	8	china	china	PROPN
ejpam-5691	333	9	currently	currently	ADV
ejpam-5691	333	10	has	have	VERB
ejpam-5691	333	11	three	three	NUM
ejpam-5691	333	12	main	main	ADJ
ejpam-5691	333	13	types	type	NOUN
ejpam-5691	333	14	of	of	ADP
ejpam-5691	333	15	sites	site	NOUN
ejpam-5691	333	16	for	for	ADP
ejpam-5691	333	17	e	e	NOUN
ejpam-5691	333	18	-	-	NOUN
ejpam-5691	333	19	waste	waste	NOUN
ejpam-5691	333	20	disposal	disposal	NOUN
ejpam-5691	333	21	.	.	PUNCT
ejpam-5691	334	1	first	first	ADV
ejpam-5691	334	2	,	,	PUNCT
ejpam-5691	334	3	used	use	VERB
ejpam-5691	334	4	electronics	electronic	NOUN
ejpam-5691	334	5	and	and	CCONJ
ejpam-5691	334	6	appliances	appliance	NOUN
ejpam-5691	334	7	are	be	AUX
ejpam-5691	334	8	commonly	commonly	ADV
ejpam-5691	334	9	sold	sell	VERB
ejpam-5691	334	10	in	in	ADP
ejpam-5691	334	11	second	second	ADJ
ejpam-5691	334	12	-	-	PUNCT
ejpam-5691	334	13	hand	hand	NOUN
ejpam-5691	334	14	markets	market	NOUN
ejpam-5691	334	15	.	.	PUNCT
ejpam-5691	335	1	instead	instead	ADV
ejpam-5691	335	2	of	of	ADP
ejpam-5691	335	3	discarding	discard	VERB
ejpam-5691	335	4	old	old	ADJ
ejpam-5691	335	5	household	household	NOUN
ejpam-5691	335	6	items	item	NOUN
ejpam-5691	335	7	,	,	PUNCT
ejpam-5691	335	8	many	many	ADJ
ejpam-5691	335	9	consumers	consumer	NOUN
ejpam-5691	335	10	prefer	prefer	VERB
ejpam-5691	335	11	to	to	PART
ejpam-5691	335	12	keep	keep	VERB
ejpam-5691	335	13	them	they	PRON
ejpam-5691	335	14	in	in	ADP
ejpam-5691	335	15	their	their	PRON
ejpam-5691	335	16	homes	home	NOUN
ejpam-5691	335	17	or	or	CCONJ
ejpam-5691	335	18	offices	office	NOUN
ejpam-5691	335	19	,	,	PUNCT
ejpam-5691	335	20	and	and	CCONJ
ejpam-5691	335	21	they	they	PRON
ejpam-5691	335	22	are	be	AUX
ejpam-5691	335	23	willing	willing	ADJ
ejpam-5691	335	24	to	to	PART
ejpam-5691	335	25	sell	sell	VERB
ejpam-5691	335	26	e	e	NOUN
ejpam-5691	335	27	-	-	NOUN
ejpam-5691	335	28	waste	waste	NOUN
ejpam-5691	335	29	if	if	SCONJ
ejpam-5691	335	30	offered	offer	VERB
ejpam-5691	335	31	a	a	DET
ejpam-5691	335	32	reasonable	reasonable	ADJ
ejpam-5691	335	33	price	price	NOUN
ejpam-5691	335	34	.	.	PUNCT
ejpam-5691	336	1	outdated	outdated	ADJ
ejpam-5691	336	2	appliances	appliance	NOUN
ejpam-5691	336	3	are	be	AUX
ejpam-5691	336	4	frequently	frequently	ADV
ejpam-5691	336	5	recycled	recycle	VERB
ejpam-5691	336	6	by	by	ADP
ejpam-5691	336	7	private	private	ADJ
ejpam-5691	336	8	companies	company	NOUN
ejpam-5691	336	9	that	that	PRON
ejpam-5691	336	10	focus	focus	VERB
ejpam-5691	336	11	on	on	ADP
ejpam-5691	336	12	extracting	extract	VERB
ejpam-5691	336	13	raw	raw	ADJ
ejpam-5691	336	14	materials	material	NOUN
ejpam-5691	336	15	.	.	PUNCT
ejpam-5691	337	1	these	these	DET
ejpam-5691	337	2	recyclers	recycler	NOUN
ejpam-5691	337	3	typically	typically	ADV
ejpam-5691	337	4	acquire	acquire	VERB
ejpam-5691	337	5	waste	waste	NOUN
ejpam-5691	337	6	electrical	electrical	ADJ
ejpam-5691	337	7	and	and	CCONJ
ejpam-5691	337	8	electronic	electronic	ADJ
ejpam-5691	337	9	equipment	equipment	NOUN
ejpam-5691	337	10	from	from	ADP
ejpam-5691	337	11	households	household	NOUN
ejpam-5691	337	12	at	at	ADP
ejpam-5691	337	13	low	low	ADJ
ejpam-5691	337	14	prices	price	NOUN
ejpam-5691	337	15	but	but	CCONJ
ejpam-5691	337	16	often	often	ADV
ejpam-5691	337	17	lack	lack	VERB
ejpam-5691	337	18	the	the	DET
ejpam-5691	337	19	necessary	necessary	ADJ
ejpam-5691	337	20	facilities	facility	NOUN
ejpam-5691	337	21	for	for	ADP
ejpam-5691	337	22	safe	safe	ADJ
ejpam-5691	337	23	disposal	disposal	NOUN
ejpam-5691	337	24	.	.	PUNCT
ejpam-5691	338	1	as	as	ADP
ejpam-5691	338	2	a	a	DET
ejpam-5691	338	3	result	result	NOUN
ejpam-5691	338	4	,	,	PUNCT
ejpam-5691	338	5	this	this	DET
ejpam-5691	338	6	method	method	NOUN
ejpam-5691	338	7	of	of	ADP
ejpam-5691	338	8	e	e	NOUN
ejpam-5691	338	9	-	-	ADJ
ejpam-5691	338	10	waste	waste	ADJ
ejpam-5691	338	11	disposal	disposal	NOUN
ejpam-5691	338	12	can	can	AUX
ejpam-5691	338	13	lead	lead	VERB
ejpam-5691	338	14	to	to	ADP
ejpam-5691	338	15	significant	significant	ADJ
ejpam-5691	338	16	environmental	environmental	ADJ
ejpam-5691	338	17	pollution	pollution	NOUN
ejpam-5691	338	18	[	[	X
ejpam-5691	338	19	46	46	NUM
ejpam-5691	338	20	]	]	PUNCT
ejpam-5691	338	21	.	.	PUNCT
ejpam-5691	339	1	casual	casual	ADJ
ejpam-5691	339	2	recycling	recycling	NOUN
ejpam-5691	339	3	area	area	NOUN
ejpam-5691	339	4	of	of	ADP
ejpam-5691	339	5	porcelain	porcelain	NOUN
ejpam-5691	339	6	in	in	ADP
ejpam-5691	339	7	porcelain	porcelain	NOUN
ejpam-5691	339	8	,	,	PUNCT
ejpam-5691	339	9	most	most	ADJ
ejpam-5691	339	10	domestic	domestic	ADJ
ejpam-5691	339	11	e	e	NOUN
ejpam-5691	339	12	-	-	NOUN
ejpam-5691	339	13	waste	waste	NOUN
ejpam-5691	339	14	is	be	AUX
ejpam-5691	339	15	funneled	funnel	VERB
ejpam-5691	339	16	into	into	ADP
ejpam-5691	339	17	an	an	DET
ejpam-5691	339	18	informal	informal	ADJ
ejpam-5691	339	19	recycling	recycling	NOUN
ejpam-5691	339	20	sector	sector	NOUN
ejpam-5691	339	21	that	that	PRON
ejpam-5691	339	22	also	also	ADV
ejpam-5691	339	23	handles	handle	VERB
ejpam-5691	339	24	imported	import	VERB
ejpam-5691	339	25	waste	waste	NOUN
ejpam-5691	339	26	electrical	electrical	ADJ
ejpam-5691	339	27	and	and	CCONJ
ejpam-5691	339	28	electronic	electronic	ADJ
ejpam-5691	339	29	equipment	equipment	NOUN
ejpam-5691	339	30	.	.	PUNCT
ejpam-5691	340	1	by	by	ADP
ejpam-5691	340	2	2007	2007	NUM
ejpam-5691	340	3	,	,	PUNCT
ejpam-5691	340	4	this	this	DET
ejpam-5691	340	5	industry	industry	NOUN
ejpam-5691	340	6	employed	employ	VERB
ejpam-5691	340	7	more	more	ADJ
ejpam-5691	340	8	than	than	ADP
ejpam-5691	340	9	700,000	700,000	NUM
ejpam-5691	340	10	people	people	NOUN
ejpam-5691	340	11	,	,	PUNCT
ejpam-5691	340	12	with	with	ADP
ejpam-5691	340	13	98	98	NUM
ejpam-5691	340	14	%	%	NOUN
ejpam-5691	340	15	working	work	VERB
ejpam-5691	340	16	in	in	ADP
ejpam-5691	340	17	unregulated	unregulated	ADJ
ejpam-5691	340	18	recycling	recycling	NOUN
ejpam-5691	340	19	operations	operation	NOUN
ejpam-5691	340	20	(	(	PUNCT
ejpam-5691	340	21	ongondo	ongondo	VERB
ejpam-5691	340	22	et	et	PROPN
ejpam-5691	340	23	al.[30	al.[30	PROPN
ejpam-5691	340	24	]	]	PUNCT
ejpam-5691	340	25	)	)	PUNCT
ejpam-5691	340	26	,	,	PUNCT
ejpam-5691	340	27	acknowledged	acknowledge	VERB
ejpam-5691	340	28	as	as	ADP
ejpam-5691	340	29	the	the	DET
ejpam-5691	340	30	largest	large	ADJ
ejpam-5691	340	31	e	e	ADJ
ejpam-5691	340	32	-	-	ADJ
ejpam-5691	340	33	waste	waste	ADJ
ejpam-5691	340	34	recycling	recycling	NOUN
ejpam-5691	340	35	site	site	NOUN
ejpam-5691	340	36	in	in	ADP
ejpam-5691	340	37	both	both	DET
ejpam-5691	340	38	porcelain	porcelain	NOUN
ejpam-5691	340	39	and	and	CCONJ
ejpam-5691	340	40	globally	globally	ADV
ejpam-5691	340	41	,	,	PUNCT
ejpam-5691	340	42	has	have	VERB
ejpam-5691	340	43	a	a	DET
ejpam-5691	340	44	population	population	NOUN
ejpam-5691	340	45	of	of	ADP
ejpam-5691	340	46	approximately	approximately	ADV
ejpam-5691	340	47	150,000	150,000	NUM
ejpam-5691	340	48	,	,	PUNCT
ejpam-5691	340	49	including	include	VERB
ejpam-5691	340	50	nearly	nearly	ADV
ejpam-5691	340	51	100,000	100,000	NUM
ejpam-5691	340	52	migrant	migrant	ADJ
ejpam-5691	340	53	workers	worker	NOUN
ejpam-5691	340	54	engaged	engage	VERB
ejpam-5691	340	55	in	in	ADP
ejpam-5691	340	56	e	e	NOUN
ejpam-5691	340	57	-	-	ADJ
ejpam-5691	340	58	waste	waste	ADJ
ejpam-5691	340	59	recycling	recycling	NOUN
ejpam-5691	340	60	activities	activity	NOUN
ejpam-5691	340	61	.	.	PUNCT
ejpam-5691	341	1	these	these	DET
ejpam-5691	341	2	facilities	facility	NOUN
ejpam-5691	341	3	usually	usually	ADV
ejpam-5691	341	4	consist	consist	VERB
ejpam-5691	341	5	of	of	ADP
ejpam-5691	341	6	numerous	numerous	ADJ
ejpam-5691	341	7	small	small	ADJ
ejpam-5691	341	8	workshops	workshop	NOUN
ejpam-5691	341	9	focused	focus	VERB
ejpam-5691	341	10	on	on	ADP
ejpam-5691	341	11	recycling	recycle	VERB
ejpam-5691	341	12	waste	waste	NOUN
ejpam-5691	341	13	electrical	electrical	ADJ
ejpam-5691	341	14	and	and	CCONJ
ejpam-5691	341	15	electronic	electronic	ADJ
ejpam-5691	341	16	equipment	equipment	NOUN
ejpam-5691	341	17	.	.	PUNCT
ejpam-5691	342	1	however	however	ADV
ejpam-5691	342	2	,	,	PUNCT
ejpam-5691	342	3	the	the	DET
ejpam-5691	342	4	recycling	recycling	NOUN
ejpam-5691	342	5	techniques	technique	NOUN
ejpam-5691	342	6	used	use	VERB
ejpam-5691	342	7	are	be	AUX
ejpam-5691	342	8	often	often	ADV
ejpam-5691	342	9	outdated	outdated	ADJ
ejpam-5691	342	10	and	and	CCONJ
ejpam-5691	342	11	basic	basic	ADJ
ejpam-5691	342	12	.	.	PUNCT
ejpam-5691	343	1	these	these	DET
ejpam-5691	343	2	methods	method	NOUN
ejpam-5691	343	3	include	include	VERB
ejpam-5691	343	4	:	:	PUNCT
ejpam-5691	343	5	(	(	PUNCT
ejpam-5691	343	6	1	1	X
ejpam-5691	343	7	)	)	PUNCT
ejpam-5691	343	8	dismantling	dismantle	VERB
ejpam-5691	343	9	electronic	electronic	ADJ
ejpam-5691	343	10	devices	device	NOUN
ejpam-5691	343	11	;	;	PUNCT
ejpam-5691	343	12	(	(	PUNCT
ejpam-5691	343	13	2	2	X
ejpam-5691	343	14	)	)	PUNCT
ejpam-5691	343	15	heating	heating	NOUN
ejpam-5691	343	16	and	and	CCONJ
ejpam-5691	343	17	manually	manually	ADV
ejpam-5691	343	18	removing	remove	VERB
ejpam-5691	343	19	components	component	NOUN
ejpam-5691	343	20	from	from	ADP
ejpam-5691	343	21	printed	print	VERB
ejpam-5691	343	22	circuit	circuit	NOUN
ejpam-5691	343	23	boards	board	NOUN
ejpam-5691	343	24	;	;	PUNCT
ejpam-5691	343	25	(	(	PUNCT
ejpam-5691	343	26	3	3	X
ejpam-5691	343	27	)	)	PUNCT
ejpam-5691	343	28	burning	burn	VERB
ejpam-5691	343	29	cables	cable	NOUN
ejpam-5691	343	30	and	and	CCONJ
ejpam-5691	343	31	wires	wire	NOUN
ejpam-5691	343	32	to	to	PART
ejpam-5691	343	33	retrieve	retrieve	VERB
ejpam-5691	343	34	valuable	valuable	ADJ
ejpam-5691	343	35	metals	metal	NOUN
ejpam-5691	343	36	;	;	PUNCT
ejpam-5691	343	37	(	(	PUNCT
ejpam-5691	343	38	4	4	X
ejpam-5691	343	39	)	)	PUNCT
ejpam-5691	343	40	melting	melting	NOUN
ejpam-5691	343	41	and	and	CCONJ
ejpam-5691	343	42	shredding	shred	VERB
ejpam-5691	343	43	plastics	plastic	NOUN
ejpam-5691	343	44	;	;	PUNCT
ejpam-5691	343	45	(	(	PUNCT
ejpam-5691	343	46	5	5	X
ejpam-5691	343	47	)	)	PUNCT
ejpam-5691	343	48	collecting	collect	VERB
ejpam-5691	343	49	toner	toner	NOUN
ejpam-5691	343	50	;	;	PUNCT
ejpam-5691	343	51	and	and	CCONJ
ejpam-5691	343	52	(	(	PUNCT
ejpam-5691	343	53	6	6	X
ejpam-5691	343	54	)	)	PUNCT
ejpam-5691	343	55	performing	perform	VERB
ejpam-5691	343	56	open	open	ADJ
ejpam-5691	343	57	acid	acid	NOUN
ejpam-5691	343	58	leaching	leach	VERB
ejpam-5691	343	59	on	on	ADP
ejpam-5691	343	60	e	e	NOUN
ejpam-5691	343	61	-	-	NOUN
ejpam-5691	343	62	waste	waste	NOUN
ejpam-5691	343	63	to	to	PART
ejpam-5691	343	64	extract	extract	VERB
ejpam-5691	343	65	valuable	valuable	ADJ
ejpam-5691	343	66	metals	metal	NOUN
ejpam-5691	343	67	.	.	PUNCT
ejpam-5691	344	1	a.	a.	PROPN
ejpam-5691	344	2	fahmi	fahmi	PROPN
ejpam-5691	344	3	et	et	PROPN
ejpam-5691	344	4	al	al	PROPN
ejpam-5691	344	5	.	.	PUNCT
ejpam-5691	344	6	/	/	SYM
ejpam-5691	344	7	eur	eur	PROPN
ejpam-5691	344	8	.	.	PUNCT
ejpam-5691	345	1	j.	j.	PROPN
ejpam-5691	345	2	pure	pure	PROPN
ejpam-5691	345	3	appl	appl	PROPN
ejpam-5691	345	4	.	.	PROPN
ejpam-5691	345	5	math	math	PROPN
ejpam-5691	345	6	,	,	PUNCT
ejpam-5691	345	7	18	18	NUM
ejpam-5691	345	8	(	(	PUNCT
ejpam-5691	345	9	1	1	NUM
ejpam-5691	345	10	)	)	PUNCT
ejpam-5691	345	11	(	(	PUNCT
ejpam-5691	345	12	2025	2025	NUM
ejpam-5691	345	13	)	)	PUNCT
ejpam-5691	345	14	,	,	PUNCT
ejpam-5691	345	15	5691	5691	NUM
ejpam-5691	345	16	19	19	NUM
ejpam-5691	345	17	of	of	ADP
ejpam-5691	345	18	32	32	NUM
ejpam-5691	345	19	figure	figure	NOUN
ejpam-5691	345	20	2	2	NUM
ejpam-5691	345	21	is	be	AUX
ejpam-5691	345	22	given	give	VERB
ejpam-5691	345	23	as	as	ADP
ejpam-5691	345	24	below	below	ADP
ejpam-5691	345	25	figure	figure	NOUN
ejpam-5691	345	26	2	2	NUM
ejpam-5691	345	27	:	:	PUNCT
ejpam-5691	345	28	the	the	DET
ejpam-5691	345	29	e	e	ADJ
ejpam-5691	345	30	-	-	ADJ
ejpam-5691	345	31	waste	waste	NOUN
ejpam-5691	345	32	process	process	NOUN
ejpam-5691	345	33	to	to	PART
ejpam-5691	345	34	establish	establish	VERB
ejpam-5691	345	35	a	a	DET
ejpam-5691	345	36	comprehensive	comprehensive	ADJ
ejpam-5691	345	37	excess	excess	ADJ
ejpam-5691	345	38	electrical	electrical	ADJ
ejpam-5691	345	39	and	and	CCONJ
ejpam-5691	345	40	electronic	electronic	ADJ
ejpam-5691	345	41	apparatus	apparatus	NOUN
ejpam-5691	345	42	recycling	recycling	NOUN
ejpam-5691	345	43	scheme	scheme	NOUN
ejpam-5691	345	44	,	,	PUNCT
ejpam-5691	345	45	the	the	DET
ejpam-5691	345	46	national	national	ADJ
ejpam-5691	345	47	growth	growth	NOUN
ejpam-5691	345	48	and	and	CCONJ
ejpam-5691	345	49	improvement	improvement	NOUN
ejpam-5691	345	50	commission	commission	NOUN
ejpam-5691	345	51	designated	designate	VERB
ejpam-5691	345	52	qingdao	qingdao	PROPN
ejpam-5691	345	53	haier	haier	PROPN
ejpam-5691	345	54	,	,	PUNCT
ejpam-5691	345	55	hangzhou	hangzhou	PROPN
ejpam-5691	345	56	dadi	dadi	PROPN
ejpam-5691	345	57	,	,	PUNCT
ejpam-5691	345	58	beijing	beijing	PROPN
ejpam-5691	345	59	huaxing	huaxing	PROPN
ejpam-5691	345	60	,	,	PUNCT
ejpam-5691	345	61	and	and	CCONJ
ejpam-5691	345	62	tianjin	tianjin	PROPN
ejpam-5691	345	63	datong	datong	PROPN
ejpam-5691	345	64	as	as	ADP
ejpam-5691	345	65	national	national	ADJ
ejpam-5691	345	66	pilot	pilot	NOUN
ejpam-5691	345	67	projects	project	NOUN
ejpam-5691	345	68	in	in	ADP
ejpam-5691	345	69	2004	2004	NUM
ejpam-5691	345	70	.	.	PUNCT
ejpam-5691	346	1	however	however	ADV
ejpam-5691	346	2	,	,	PUNCT
ejpam-5691	346	3	progress	progress	NOUN
ejpam-5691	346	4	has	have	AUX
ejpam-5691	346	5	been	be	AUX
ejpam-5691	346	6	limited	limit	VERB
ejpam-5691	346	7	since	since	SCONJ
ejpam-5691	346	8	then	then	ADV
ejpam-5691	346	9	.	.	PUNCT
ejpam-5691	347	1	for	for	ADP
ejpam-5691	347	2	example	example	NOUN
ejpam-5691	347	3	,	,	PUNCT
ejpam-5691	347	4	haier	haier	NOUN
ejpam-5691	347	5	,	,	PUNCT
ejpam-5691	347	6	the	the	DET
ejpam-5691	347	7	fourth	fourth	ADV
ejpam-5691	347	8	-	-	PUNCT
ejpam-5691	347	9	largest	large	ADJ
ejpam-5691	347	10	white	white	ADJ
ejpam-5691	347	11	goods	good	NOUN
ejpam-5691	347	12	manufacturer	manufacturer	NOUN
ejpam-5691	347	13	in	in	ADP
ejpam-5691	347	14	china	china	PROPN
ejpam-5691	347	15	,	,	PUNCT
ejpam-5691	347	16	was	be	AUX
ejpam-5691	347	17	selected	select	VERB
ejpam-5691	347	18	to	to	PART
ejpam-5691	347	19	develop	develop	VERB
ejpam-5691	347	20	a	a	DET
ejpam-5691	347	21	producer	producer	NOUN
ejpam-5691	347	22	-	-	PUNCT
ejpam-5691	347	23	responsibility	responsibility	NOUN
ejpam-5691	347	24	recycling	recycling	NOUN
ejpam-5691	347	25	model	model	NOUN
ejpam-5691	347	26	to	to	PART
ejpam-5691	347	27	improve	improve	VERB
ejpam-5691	347	28	the	the	DET
ejpam-5691	347	29	collection	collection	NOUN
ejpam-5691	347	30	of	of	ADP
ejpam-5691	347	31	used	use	VERB
ejpam-5691	347	32	household	household	NOUN
ejpam-5691	347	33	appliances	appliance	NOUN
ejpam-5691	347	34	.	.	PUNCT
ejpam-5691	348	1	in	in	ADP
ejpam-5691	348	2	collaboration	collaboration	NOUN
ejpam-5691	348	3	with	with	ADP
ejpam-5691	348	4	tsinghua	tsinghua	PROPN
ejpam-5691	348	5	university	university	PROPN
ejpam-5691	348	6	,	,	PUNCT
ejpam-5691	348	7	haier	haier	PROPN
ejpam-5691	348	8	sought	seek	VERB
ejpam-5691	348	9	to	to	PART
ejpam-5691	348	10	enhance	enhance	VERB
ejpam-5691	348	11	recycling	recycling	NOUN
ejpam-5691	348	12	technology	technology	NOUN
ejpam-5691	348	13	.	.	PUNCT
ejpam-5691	349	1	despite	despite	SCONJ
ejpam-5691	349	2	these	these	DET
ejpam-5691	349	3	efforts	effort	NOUN
ejpam-5691	349	4	,	,	PUNCT
ejpam-5691	349	5	by	by	ADP
ejpam-5691	349	6	may	may	PROPN
ejpam-5691	349	7	2007	2007	NUM
ejpam-5691	349	8	,	,	PUNCT
ejpam-5691	349	9	the	the	DET
ejpam-5691	349	10	company	company	NOUN
ejpam-5691	349	11	had	have	AUX
ejpam-5691	349	12	disposed	dispose	VERB
ejpam-5691	349	13	of	of	ADP
ejpam-5691	349	14	only	only	ADV
ejpam-5691	349	15	8,000	8,000	NUM
ejpam-5691	349	16	domestic	domestic	ADJ
ejpam-5691	349	17	appliances	appliance	NOUN
ejpam-5691	349	18	,	,	PUNCT
ejpam-5691	349	19	equating	equate	VERB
ejpam-5691	349	20	to	to	ADP
ejpam-5691	349	21	an	an	DET
ejpam-5691	349	22	annual	annual	ADJ
ejpam-5691	349	23	collection	collection	NOUN
ejpam-5691	349	24	rate	rate	NOUN
ejpam-5691	349	25	of	of	ADP
ejpam-5691	349	26	approximately	approximately	ADV
ejpam-5691	349	27	600,000	600,000	NUM
ejpam-5691	349	28	devices	device	NOUN
ejpam-5691	349	29	.	.	PUNCT
ejpam-5691	350	1	in	in	ADP
ejpam-5691	350	2	parallel	parallel	NOUN
ejpam-5691	350	3	,	,	PUNCT
ejpam-5691	350	4	isolated	isolate	VERB
ejpam-5691	350	5	ecological	ecological	ADJ
ejpam-5691	350	6	organizations	organization	NOUN
ejpam-5691	350	7	have	have	AUX
ejpam-5691	350	8	also	also	ADV
ejpam-5691	350	9	taken	take	VERB
ejpam-5691	350	10	initiatives	initiative	NOUN
ejpam-5691	350	11	to	to	PART
ejpam-5691	350	12	increase	increase	VERB
ejpam-5691	350	13	ewaste	ewaste	NOUN
ejpam-5691	350	14	recovery	recovery	NOUN
ejpam-5691	350	15	rates	rate	NOUN
ejpam-5691	350	16	.	.	PUNCT
ejpam-5691	351	1	shenzhen	shenzhen	PROPN
ejpam-5691	351	2	green	green	PROPN
ejpam-5691	351	3	eco	eco	PROPN
ejpam-5691	351	4	-	-	PUNCT
ejpam-5691	351	5	manufacture	manufacture	PROPN
ejpam-5691	351	6	tech	tech	PROPN
ejpam-5691	351	7	co.	co.	PROPN
ejpam-5691	351	8	,	,	PUNCT
ejpam-5691	351	9	ltd	ltd	PROPN
ejpam-5691	351	10	.	.	PROPN
ejpam-5691	351	11	opened	open	VERB
ejpam-5691	351	12	its	its	PRON
ejpam-5691	351	13	first	first	ADJ
ejpam-5691	351	14	e	e	NOUN
ejpam-5691	351	15	-	-	ADJ
ejpam-5691	351	16	waste	waste	ADJ
ejpam-5691	351	17	recycling	recycling	NOUN
ejpam-5691	351	18	supermarket	supermarket	NOUN
ejpam-5691	351	19	in	in	ADP
ejpam-5691	351	20	wuhan	wuhan	PROPN
ejpam-5691	351	21	[	[	X
ejpam-5691	351	22	22	22	NUM
ejpam-5691	351	23	]	]	PUNCT
ejpam-5691	351	24	.	.	PUNCT
ejpam-5691	352	1	gem	gem	PROPN
ejpam-5691	352	2	established	establish	VERB
ejpam-5691	352	3	specific	specific	ADJ
ejpam-5691	352	4	pricing	pricing	NOUN
ejpam-5691	352	5	for	for	ADP
ejpam-5691	352	6	used	used	ADJ
ejpam-5691	352	7	or	or	CCONJ
ejpam-5691	352	8	obsolete	obsolete	ADJ
ejpam-5691	352	9	electrical	electrical	ADJ
ejpam-5691	352	10	and	and	CCONJ
ejpam-5691	352	11	electronic	electronic	ADJ
ejpam-5691	352	12	equipment	equipment	NOUN
ejpam-5691	352	13	based	base	VERB
ejpam-5691	352	14	on	on	ADP
ejpam-5691	352	15	their	their	PRON
ejpam-5691	352	16	condition	condition	NOUN
ejpam-5691	352	17	.	.	PUNCT
ejpam-5691	353	1	in	in	ADP
ejpam-5691	353	2	addition	addition	NOUN
ejpam-5691	353	3	,	,	PUNCT
ejpam-5691	353	4	the	the	DET
ejpam-5691	353	5	company	company	NOUN
ejpam-5691	353	6	has	have	AUX
ejpam-5691	353	7	formed	form	VERB
ejpam-5691	353	8	strategic	strategic	ADJ
ejpam-5691	353	9	partnerships	partnership	NOUN
ejpam-5691	353	10	with	with	ADP
ejpam-5691	353	11	retailers	retailer	NOUN
ejpam-5691	353	12	such	such	ADJ
ejpam-5691	353	13	as	as	ADP
ejpam-5691	353	14	wuhan	wuhan	PROPN
ejpam-5691	353	15	zhongbai	zhongbai	PROPN
ejpam-5691	353	16	,	,	PUNCT
ejpam-5691	353	17	gome	gome	PROPN
ejpam-5691	353	18	,	,	PUNCT
ejpam-5691	353	19	and	and	CCONJ
ejpam-5691	353	20	suning	sun	VERB
ejpam-5691	353	21	,	,	PUNCT
ejpam-5691	353	22	aiming	aim	VERB
ejpam-5691	353	23	to	to	PART
ejpam-5691	353	24	reduce	reduce	VERB
ejpam-5691	353	25	electronic	electronic	ADJ
ejpam-5691	353	26	waste	waste	NOUN
ejpam-5691	353	27	and	and	CCONJ
ejpam-5691	353	28	promote	promote	VERB
ejpam-5691	353	29	low	low	ADJ
ejpam-5691	353	30	-	-	PUNCT
ejpam-5691	353	31	carbon	carbon	NOUN
ejpam-5691	353	32	feasting	feasting	NOUN
ejpam-5691	353	33	through	through	ADP
ejpam-5691	353	34	market	market	NOUN
ejpam-5691	353	35	-	-	PUNCT
ejpam-5691	353	36	driven	drive	VERB
ejpam-5691	353	37	plans	plan	NOUN
ejpam-5691	353	38	.	.	PUNCT
ejpam-5691	354	1	figure	figure	NOUN
ejpam-5691	354	2	3	3	NUM
ejpam-5691	354	3	is	be	AUX
ejpam-5691	354	4	material	material	NOUN
ejpam-5691	354	5	of	of	ADP
ejpam-5691	354	6	the	the	DET
ejpam-5691	354	7	case	case	NOUN
ejpam-5691	354	8	study	study	NOUN
ejpam-5691	354	9	is	be	AUX
ejpam-5691	354	10	given	give	VERB
ejpam-5691	354	11	as	as	ADP
ejpam-5691	354	12	a.	a.	NOUN
ejpam-5691	354	13	fahmi	fahmi	PROPN
ejpam-5691	354	14	et	et	PROPN
ejpam-5691	354	15	al	al	PROPN
ejpam-5691	354	16	.	.	PUNCT
ejpam-5691	354	17	/	/	SYM
ejpam-5691	354	18	eur	eur	PROPN
ejpam-5691	354	19	.	.	PUNCT
ejpam-5691	355	1	j.	j.	PROPN
ejpam-5691	355	2	pure	pure	PROPN
ejpam-5691	355	3	appl	appl	PROPN
ejpam-5691	355	4	.	.	PROPN
ejpam-5691	355	5	math	math	PROPN
ejpam-5691	355	6	,	,	PUNCT
ejpam-5691	355	7	18	18	NUM
ejpam-5691	355	8	(	(	PUNCT
ejpam-5691	355	9	1	1	NUM
ejpam-5691	355	10	)	)	PUNCT
ejpam-5691	355	11	(	(	PUNCT
ejpam-5691	355	12	2025	2025	NUM
ejpam-5691	355	13	)	)	PUNCT
ejpam-5691	355	14	,	,	PUNCT
ejpam-5691	355	15	5691	5691	NUM
ejpam-5691	355	16	20	20	NUM
ejpam-5691	355	17	of	of	ADP
ejpam-5691	355	18	32	32	NUM
ejpam-5691	355	19	figure	figure	NOUN
ejpam-5691	355	20	3	3	NUM
ejpam-5691	355	21	:	:	PUNCT
ejpam-5691	355	22	material	material	NOUN
ejpam-5691	355	23	of	of	ADP
ejpam-5691	355	24	the	the	DET
ejpam-5691	355	25	case	case	NOUN
ejpam-5691	355	26	study	study	NOUN
ejpam-5691	355	27	6.1	6.1	NUM
ejpam-5691	355	28	.	.	PUNCT
ejpam-5691	356	1	numerical	numerical	ADJ
ejpam-5691	356	2	example	example	NOUN
ejpam-5691	356	3	in	in	ADP
ejpam-5691	356	4	this	this	DET
ejpam-5691	356	5	subsection	subsection	NOUN
ejpam-5691	356	6	,	,	PUNCT
ejpam-5691	356	7	the	the	DET
ejpam-5691	356	8	ecological	ecological	ADJ
ejpam-5691	356	9	assessment	assessment	NOUN
ejpam-5691	356	10	standards	standard	NOUN
ejpam-5691	356	11	and	and	CCONJ
ejpam-5691	356	12	their	their	PRON
ejpam-5691	356	13	meanings	meaning	NOUN
ejpam-5691	356	14	.	.	PUNCT
ejpam-5691	357	1	standards	standard	NOUN
ejpam-5691	357	2	meaning	mean	VERB
ejpam-5691	357	3	the	the	DET
ejpam-5691	357	4	proposed	propose	VERB
ejpam-5691	357	5	cohesive	cohesive	ADJ
ejpam-5691	357	6	model	model	NOUN
ejpam-5691	357	7	is	be	AUX
ejpam-5691	357	8	practical	practical	ADJ
ejpam-5691	357	9	to	to	ADP
ejpam-5691	357	10	this	this	DET
ejpam-5691	357	11	instance	instance	NOUN
ejpam-5691	357	12	as	as	SCONJ
ejpam-5691	357	13	follows	follow	VERB
ejpam-5691	357	14	:	:	PUNCT
ejpam-5691	357	15	lhr	lhr	NOUN
ejpam-5691	357	16	:	:	PUNCT
ejpam-5691	357	17	ecological	ecological	ADJ
ejpam-5691	357	18	contamination	contamination	NOUN
ejpam-5691	357	19	this	this	DET
ejpam-5691	357	20	standard	standard	NOUN
ejpam-5691	357	21	is	be	AUX
ejpam-5691	357	22	connected	connect	VERB
ejpam-5691	357	23	to	to	ADP
ejpam-5691	357	24	the	the	DET
ejpam-5691	357	25	projected	project	VERB
ejpam-5691	357	26	equal	equal	ADJ
ejpam-5691	357	27	of	of	ADP
ejpam-5691	357	28	production	production	NOUN
ejpam-5691	357	29	of	of	ADP
ejpam-5691	357	30	airborne	airborne	ADJ
ejpam-5691	357	31	contaminants	contaminant	NOUN
ejpam-5691	357	32	,	,	PUNCT
ejpam-5691	357	33	injurious	injurious	ADJ
ejpam-5691	357	34	materials	material	NOUN
ejpam-5691	357	35	,	,	PUNCT
ejpam-5691	357	36	solid	solid	ADJ
ejpam-5691	357	37	wildernesses	wilderness	NOUN
ejpam-5691	357	38	,	,	PUNCT
ejpam-5691	357	39	production	production	NOUN
ejpam-5691	357	40	of	of	ADP
ejpam-5691	357	41	air	air	NOUN
ejpam-5691	357	42	impurities	impurity	NOUN
ejpam-5691	357	43	waste	waste	PROPN
ejpam-5691	357	44	marine	marine	PROPN
ejpam-5691	357	45	,	,	PUNCT
ejpam-5691	357	46	which	which	PRON
ejpam-5691	357	47	statements	statement	NOUN
ejpam-5691	357	48	by	by	ADP
ejpam-5691	357	49	a	a	DET
ejpam-5691	357	50	provider	provider	NOUN
ejpam-5691	357	51	in	in	ADP
ejpam-5691	357	52	its	its	PRON
ejpam-5691	357	53	making	make	VERB
ejpam-5691	357	54	development	development	NOUN
ejpam-5691	357	55	.	.	PUNCT
ejpam-5691	358	1	khi	khi	PROPN
ejpam-5691	358	2	:	:	PUNCT
ejpam-5691	358	3	reserve	reserve	VERB
ejpam-5691	358	4	feeding	feed	VERB
ejpam-5691	358	5	this	this	DET
ejpam-5691	358	6	criterion	criterion	NOUN
ejpam-5691	358	7	is	be	AUX
ejpam-5691	358	8	correlated	correlate	VERB
ejpam-5691	358	9	to	to	ADP
ejpam-5691	358	10	the	the	DET
ejpam-5691	358	11	appraised	appraise	VERB
ejpam-5691	358	12	equal	equal	ADJ
ejpam-5691	358	13	of	of	ADP
ejpam-5691	358	14	rare	rare	ADJ
ejpam-5691	358	15	factual	factual	ADJ
ejpam-5691	358	16	eating	eating	NOUN
ejpam-5691	358	17	,	,	PUNCT
ejpam-5691	358	18	liveliness	liveliness	NOUN
ejpam-5691	358	19	feeding	feeding	NOUN
ejpam-5691	358	20	and	and	CCONJ
ejpam-5691	358	21	river	river	NOUN
ejpam-5691	358	22	eating	eat	VERB
ejpam-5691	358	23	throughout	throughout	ADP
ejpam-5691	358	24	the	the	DET
ejpam-5691	358	25	progression	progression	NOUN
ejpam-5691	358	26	of	of	ADP
ejpam-5691	358	27	construction	construction	NOUN
ejpam-5691	358	28	.	.	PUNCT
ejpam-5691	359	1	fsd	fsd	PROPN
ejpam-5691	359	2	:	:	PUNCT
ejpam-5691	359	3	biological	biological	ADJ
ejpam-5691	359	4	revolution	revolution	NOUN
ejpam-5691	359	5	this	this	DET
ejpam-5691	359	6	criterion	criterion	NOUN
ejpam-5691	359	7	is	be	AUX
ejpam-5691	359	8	interrelated	interrelate	VERB
ejpam-5691	359	9	to	to	ADP
ejpam-5691	359	10	the	the	DET
ejpam-5691	359	11	advance	advance	NOUN
ejpam-5691	359	12	of	of	ADP
ejpam-5691	359	13	progressions	progression	NOUN
ejpam-5691	359	14	and	and	CCONJ
ejpam-5691	359	15	harvests	harvest	NOUN
ejpam-5691	359	16	that	that	PRON
ejpam-5691	359	17	can	can	AUX
ejpam-5691	359	18	help	help	VERB
ejpam-5691	359	19	to	to	PART
ejpam-5691	359	20	maintainable	maintainable	ADJ
ejpam-5691	359	21	growth	growth	NOUN
ejpam-5691	359	22	using	use	VERB
ejpam-5691	359	23	the	the	DET
ejpam-5691	359	24	profitable	profitable	ADJ
ejpam-5691	359	25	request	request	NOUN
ejpam-5691	359	26	of	of	ADP
ejpam-5691	359	27	information	information	NOUN
ejpam-5691	359	28	to	to	PART
ejpam-5691	359	29	spread	spread	VERB
ejpam-5691	359	30	straight	straight	ADV
ejpam-5691	359	31	or	or	CCONJ
ejpam-5691	359	32	unintended	unintended	ADJ
ejpam-5691	359	33	environmental	environmental	ADJ
ejpam-5691	359	34	developments	development	NOUN
ejpam-5691	359	35	.	.	PUNCT
ejpam-5691	360	1	isb	isb	NOUN
ejpam-5691	360	2	:	:	PUNCT
ejpam-5691	360	3	organic	organic	ADJ
ejpam-5691	360	4	organization	organization	NOUN
ejpam-5691	360	5	this	this	DET
ejpam-5691	360	6	criterion	criterion	NOUN
ejpam-5691	360	7	is	be	AUX
ejpam-5691	360	8	connected	connect	VERB
ejpam-5691	360	9	to	to	ADP
ejpam-5691	360	10	preparation	preparation	NOUN
ejpam-5691	360	11	of	of	ADP
ejpam-5691	360	12	capitals	capital	NOUN
ejpam-5691	360	13	for	for	ADP
ejpam-5691	360	14	emerging	emerge	VERB
ejpam-5691	360	15	,	,	PUNCT
ejpam-5691	360	16	physical	physical	ADJ
ejpam-5691	360	17	construction	construction	NOUN
ejpam-5691	360	18	and	and	CCONJ
ejpam-5691	360	19	applying	apply	VERB
ejpam-5691	360	20	rules	rule	NOUN
ejpam-5691	360	21	for	for	ADP
ejpam-5691	360	22	ecological	ecological	ADJ
ejpam-5691	360	23	defense	defense	NOUN
ejpam-5691	360	24	.	.	PUNCT
ejpam-5691	361	1	iso	iso	PROPN
ejpam-5691	361	2	14000	14000	NUM
ejpam-5691	361	3	and	and	CCONJ
ejpam-5691	361	4	iso14001	iso14001	NOUN
ejpam-5691	361	5	are	be	AUX
ejpam-5691	361	6	the	the	DET
ejpam-5691	361	7	greatest	great	ADJ
ejpam-5691	361	8	extensively	extensively	ADV
ejpam-5691	361	9	secondhand	secondhand	ADJ
ejpam-5691	361	10	values	value	NOUN
ejpam-5691	361	11	in	in	ADP
ejpam-5691	361	12	an	an	DET
ejpam-5691	361	13	ecological	ecological	ADJ
ejpam-5691	361	14	organization	organization	NOUN
ejpam-5691	361	15	method	method	NOUN
ejpam-5691	361	16	.	.	PUNCT
ejpam-5691	362	1	step	step	NOUN
ejpam-5691	362	2	1	1	NUM
ejpam-5691	362	3	:	:	PUNCT
ejpam-5691	362	4	describe	describe	VERB
ejpam-5691	362	5	the	the	DET
ejpam-5691	362	6	bff	bff	NOUN
ejpam-5691	362	7	decision	decision	NOUN
ejpam-5691	362	8	matrix	matrix	NOUN
ejpam-5691	362	9	provided	provide	VERB
ejpam-5691	362	10	in	in	ADP
ejpam-5691	362	11	tables	table	NOUN
ejpam-5691	362	12	1	1	NUM
ejpam-5691	362	13	and	and	CCONJ
ejpam-5691	362	14	2	2	NUM
ejpam-5691	362	15	.	.	NOUN
ejpam-5691	362	16	bff	bff	VERB
ejpam-5691	362	17	decision	decision	NOUN
ejpam-5691	362	18	matrix	matrix	NOUN
ejpam-5691	362	19	table	table	NOUN
ejpam-5691	362	20	1	1	NUM
ejpam-5691	362	21	a.	a.	NOUN
ejpam-5691	362	22	fahmi	fahmi	PROPN
ejpam-5691	362	23	et	et	PROPN
ejpam-5691	362	24	al	al	PROPN
ejpam-5691	362	25	.	.	PUNCT
ejpam-5691	362	26	/	/	SYM
ejpam-5691	362	27	eur	eur	PROPN
ejpam-5691	362	28	.	.	PUNCT
ejpam-5691	363	1	j.	j.	PROPN
ejpam-5691	363	2	pure	pure	PROPN
ejpam-5691	363	3	appl	appl	PROPN
ejpam-5691	363	4	.	.	PROPN
ejpam-5691	363	5	math	math	PROPN
ejpam-5691	363	6	,	,	PUNCT
ejpam-5691	363	7	18	18	NUM
ejpam-5691	363	8	(	(	PUNCT
ejpam-5691	363	9	1	1	NUM
ejpam-5691	363	10	)	)	PUNCT
ejpam-5691	363	11	(	(	PUNCT
ejpam-5691	363	12	2025	2025	NUM
ejpam-5691	363	13	)	)	PUNCT
ejpam-5691	363	14	,	,	PUNCT
ejpam-5691	363	15	5691	5691	NUM
ejpam-5691	363	16	21	21	NUM
ejpam-5691	363	17	of	of	ADP
ejpam-5691	363	18	32	32	NUM
ejpam-5691	363	19	lhr1	lhr1	PROPN
ejpam-5691	363	20	khi2	khi2	PROPN
ejpam-5691	364	1	fsd3	fsd3	PROPN
ejpam-5691	364	2	isb4	isb4	PROPN
ejpam-5691	364	3	ps1	ps1	PROPN
ejpam-5691	364	4			NOUN
ejpam-5691	365	1	[	[	X
ejpam-5691	365	2	0.11	0.11	NUM
ejpam-5691	365	3	,	,	PUNCT
ejpam-5691	365	4	0.13	0.13	NUM
ejpam-5691	365	5	]	]	PUNCT
ejpam-5691	365	6	,	,	PUNCT
ejpam-5691	365	7	[	[	X
ejpam-5691	365	8	−0.12	−0.12	NOUN
ejpam-5691	365	9	,	,	PUNCT
ejpam-5691	365	10	−0.16	−0.16	NOUN
ejpam-5691	365	11	]	]	X
ejpam-5691	365	12			X
ejpam-5691	365	13			NOUN
ejpam-5691	366	1	[	[	X
ejpam-5691	366	2	0.12	0.12	NUM
ejpam-5691	366	3	,	,	PUNCT
ejpam-5691	366	4	0.14	0.14	NUM
ejpam-5691	366	5	]	]	PUNCT
ejpam-5691	366	6	,	,	PUNCT
ejpam-5691	366	7	[	[	X
ejpam-5691	366	8	−0.13	−0.13	NOUN
ejpam-5691	366	9	,	,	PUNCT
ejpam-5691	366	10	−0.15	−0.15	NOUN
ejpam-5691	366	11	]	]	X
ejpam-5691	366	12			ADJ
ejpam-5691	366	13			NOUN
ejpam-5691	367	1	[	[	X
ejpam-5691	367	2	0.21	0.21	NUM
ejpam-5691	367	3	,	,	PUNCT
ejpam-5691	367	4	0.22	0.22	NUM
ejpam-5691	367	5	]	]	PUNCT
ejpam-5691	367	6	,	,	PUNCT
ejpam-5691	367	7	[	[	X
ejpam-5691	367	8	−0.23	−0.23	X
ejpam-5691	367	9	,	,	PUNCT
ejpam-5691	367	10	−0.26	−0.26	ADJ
ejpam-5691	367	11	]	]	X
ejpam-5691	367	12			ADJ
ejpam-5691	367	13			NOUN
ejpam-5691	368	1	[	[	X
ejpam-5691	368	2	0.3	0.3	NUM
ejpam-5691	368	3	,	,	PUNCT
ejpam-5691	368	4	0.5	0.5	NUM
ejpam-5691	368	5	]	]	PUNCT
ejpam-5691	368	6	,	,	PUNCT
ejpam-5691	368	7	[	[	X
ejpam-5691	368	8	−0.4	−0.4	X
ejpam-5691	368	9	,	,	PUNCT
ejpam-5691	368	10	−0.6	−0.6	PROPN
ejpam-5691	368	11	]	]	X
ejpam-5691	369	1			X
ejpam-5691	369	2	ps2	ps2	X
ejpam-5691	369	3			NOUN
ejpam-5691	370	1	[	[	X
ejpam-5691	370	2	0.3	0.3	NUM
ejpam-5691	370	3	,	,	PUNCT
ejpam-5691	370	4	0.5	0.5	NUM
ejpam-5691	370	5	]	]	PUNCT
ejpam-5691	370	6	,	,	PUNCT
ejpam-5691	370	7	[	[	X
ejpam-5691	370	8	−0.4	−0.4	X
ejpam-5691	370	9	,	,	PUNCT
ejpam-5691	370	10	−0.6	−0.6	PROPN
ejpam-5691	370	11	]	]	PUNCT
ejpam-5691	370	12			X
ejpam-5691	370	13			NOUN
ejpam-5691	371	1	[	[	X
ejpam-5691	371	2	0.11	0.11	NUM
ejpam-5691	371	3	,	,	PUNCT
ejpam-5691	371	4	0.13	0.13	NUM
ejpam-5691	371	5	]	]	PUNCT
ejpam-5691	371	6	,	,	PUNCT
ejpam-5691	371	7	[	[	X
ejpam-5691	371	8	−0.12	−0.12	NOUN
ejpam-5691	371	9	,	,	PUNCT
ejpam-5691	371	10	−0.16	−0.16	NOUN
ejpam-5691	371	11	]	]	X
ejpam-5691	371	12			X
ejpam-5691	371	13			NOUN
ejpam-5691	372	1	[	[	X
ejpam-5691	372	2	0.12	0.12	NUM
ejpam-5691	372	3	,	,	PUNCT
ejpam-5691	372	4	0.14	0.14	NUM
ejpam-5691	372	5	]	]	PUNCT
ejpam-5691	372	6	,	,	PUNCT
ejpam-5691	372	7	[	[	X
ejpam-5691	372	8	−0.13	−0.13	NOUN
ejpam-5691	372	9	,	,	PUNCT
ejpam-5691	372	10	−0.15	−0.15	NOUN
ejpam-5691	372	11	]	]	X
ejpam-5691	372	12			ADJ
ejpam-5691	372	13			NOUN
ejpam-5691	373	1	[	[	X
ejpam-5691	373	2	0.21	0.21	NUM
ejpam-5691	373	3	,	,	PUNCT
ejpam-5691	373	4	0.22	0.22	NUM
ejpam-5691	373	5	]	]	PUNCT
ejpam-5691	373	6	,	,	PUNCT
ejpam-5691	373	7	[	[	X
ejpam-5691	373	8	−0.23	−0.23	X
ejpam-5691	373	9	,	,	PUNCT
ejpam-5691	373	10	−0.26	−0.26	ADJ
ejpam-5691	373	11	]	]	X
ejpam-5691	373	12			ADJ
ejpam-5691	373	13	ps3	ps3	NOUN
ejpam-5691	373	14			NOUN
ejpam-5691	374	1	[	[	X
ejpam-5691	374	2	0.12	0.12	NUM
ejpam-5691	374	3	,	,	PUNCT
ejpam-5691	374	4	0.14	0.14	NUM
ejpam-5691	374	5	]	]	PUNCT
ejpam-5691	374	6	,	,	PUNCT
ejpam-5691	374	7	[	[	X
ejpam-5691	374	8	−0.13	−0.13	NOUN
ejpam-5691	374	9	,	,	PUNCT
ejpam-5691	374	10	−0.15	−0.15	NOUN
ejpam-5691	374	11	]	]	X
ejpam-5691	374	12			NOUN
ejpam-5691	374	13			NOUN
ejpam-5691	375	1	[	[	X
ejpam-5691	375	2	0.3	0.3	NUM
ejpam-5691	375	3	,	,	PUNCT
ejpam-5691	375	4	0.5	0.5	NUM
ejpam-5691	375	5	]	]	PUNCT
ejpam-5691	375	6	,	,	PUNCT
ejpam-5691	375	7	[	[	X
ejpam-5691	375	8	−0.4	−0.4	X
ejpam-5691	375	9	,	,	PUNCT
ejpam-5691	375	10	−0.6	−0.6	PROPN
ejpam-5691	375	11	]	]	X
ejpam-5691	375	12			X
ejpam-5691	375	13			NOUN
ejpam-5691	376	1	[	[	X
ejpam-5691	376	2	0.21	0.21	NUM
ejpam-5691	376	3	,	,	PUNCT
ejpam-5691	376	4	0.22	0.22	NUM
ejpam-5691	376	5	]	]	PUNCT
ejpam-5691	376	6	,	,	PUNCT
ejpam-5691	376	7	[	[	X
ejpam-5691	376	8	−0.23	−0.23	X
ejpam-5691	376	9	,	,	PUNCT
ejpam-5691	376	10	−0.26	−0.26	ADJ
ejpam-5691	376	11	]	]	X
ejpam-5691	376	12			ADJ
ejpam-5691	376	13			NOUN
ejpam-5691	377	1	[	[	X
ejpam-5691	377	2	0.11	0.11	NUM
ejpam-5691	377	3	,	,	PUNCT
ejpam-5691	377	4	0.13	0.13	NUM
ejpam-5691	377	5	]	]	PUNCT
ejpam-5691	377	6	,	,	PUNCT
ejpam-5691	377	7	[	[	X
ejpam-5691	377	8	−0.12	−0.12	NOUN
ejpam-5691	377	9	,	,	PUNCT
ejpam-5691	377	10	−0.16	−0.16	NOUN
ejpam-5691	377	11	]	]	X
ejpam-5691	377	12			ADJ
ejpam-5691	377	13	ps4	ps4	NOUN
ejpam-5691	377	14			NOUN
ejpam-5691	378	1	[	[	X
ejpam-5691	378	2	0.21	0.21	NUM
ejpam-5691	378	3	,	,	PUNCT
ejpam-5691	378	4	0.22	0.22	NUM
ejpam-5691	378	5	]	]	PUNCT
ejpam-5691	378	6	,	,	PUNCT
ejpam-5691	378	7	[	[	X
ejpam-5691	378	8	−0.23	−0.23	X
ejpam-5691	378	9	,	,	PUNCT
ejpam-5691	378	10	−0.26	−0.26	ADJ
ejpam-5691	378	11	]	]	X
ejpam-5691	378	12			ADJ
ejpam-5691	378	13			NOUN
ejpam-5691	379	1	[	[	X
ejpam-5691	379	2	0.11	0.11	NUM
ejpam-5691	379	3	,	,	PUNCT
ejpam-5691	379	4	0.13	0.13	NUM
ejpam-5691	379	5	]	]	PUNCT
ejpam-5691	379	6	,	,	PUNCT
ejpam-5691	379	7	[	[	X
ejpam-5691	379	8	−0.12	−0.12	NOUN
ejpam-5691	379	9	,	,	PUNCT
ejpam-5691	379	10	−0.16	−0.16	NOUN
ejpam-5691	379	11	]	]	X
ejpam-5691	379	12			X
ejpam-5691	379	13			NOUN
ejpam-5691	380	1	[	[	X
ejpam-5691	380	2	0.3	0.3	NUM
ejpam-5691	380	3	,	,	PUNCT
ejpam-5691	380	4	0.5	0.5	NUM
ejpam-5691	380	5	]	]	PUNCT
ejpam-5691	380	6	,	,	PUNCT
ejpam-5691	380	7	[	[	X
ejpam-5691	380	8	−0.4	−0.4	X
ejpam-5691	380	9	,	,	PUNCT
ejpam-5691	380	10	−0.6	−0.6	PROPN
ejpam-5691	380	11	]	]	X
ejpam-5691	380	12			X
ejpam-5691	380	13			NOUN
ejpam-5691	381	1	[	[	X
ejpam-5691	381	2	0.12	0.12	NUM
ejpam-5691	381	3	,	,	PUNCT
ejpam-5691	381	4	0.14	0.14	NUM
ejpam-5691	381	5	]	]	PUNCT
ejpam-5691	381	6	,	,	PUNCT
ejpam-5691	381	7	[	[	X
ejpam-5691	381	8	−0.13	−0.13	NOUN
ejpam-5691	381	9	,	,	PUNCT
ejpam-5691	381	10	−0.15	−0.15	NOUN
ejpam-5691	381	11	]	]	X
ejpam-5691	381	12			NOUN
ejpam-5691	381	13	bff	bff	VERB
ejpam-5691	381	14	decision	decision	NOUN
ejpam-5691	381	15	matrix	matrix	NOUN
ejpam-5691	381	16	table	table	NOUN
ejpam-5691	381	17	2	2	NUM
ejpam-5691	381	18	lhr1	lhr1	PROPN
ejpam-5691	381	19	khi2	khi2	PROPN
ejpam-5691	382	1	fsd3	fsd3	PROPN
ejpam-5691	382	2	isb4	isb4	PROPN
ejpam-5691	382	3	ps1	ps1	PROPN
ejpam-5691	382	4			NOUN
ejpam-5691	383	1	[	[	X
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ejpam-5691	383	3	,	,	PUNCT
ejpam-5691	383	4	0.34	0.34	NUM
ejpam-5691	383	5	]	]	PUNCT
ejpam-5691	383	6	,	,	PUNCT
ejpam-5691	384	1	[	[	X
ejpam-5691	384	2	−0.40	−0.40	NOUN
ejpam-5691	384	3	,	,	PUNCT
ejpam-5691	384	4	−0.54	−0.54	ADJ
ejpam-5691	384	5	]	]	X
ejpam-5691	384	6			ADJ
ejpam-5691	384	7			NOUN
ejpam-5691	385	1	[	[	X
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ejpam-5691	385	3	,	,	PUNCT
ejpam-5691	385	4	0.104	0.104	NUM
ejpam-5691	385	5	]	]	PUNCT
ejpam-5691	385	6	,	,	PUNCT
ejpam-5691	386	1	[	[	X
ejpam-5691	386	2	−0.103	−0.103	NOUN
ejpam-5691	386	3	,	,	PUNCT
ejpam-5691	386	4	−0.105	−0.105	PROPN
ejpam-5691	386	5	]	]	PUNCT
ejpam-5691	386	6			NOUN
ejpam-5691	386	7			NOUN
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ejpam-5691	407	3	appl	appl	PROPN
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ejpam-5691	407	10	)	)	PUNCT
ejpam-5691	407	11	(	(	PUNCT
ejpam-5691	407	12	2025	2025	NUM
ejpam-5691	407	13	)	)	PUNCT
ejpam-5691	407	14	,	,	PUNCT
ejpam-5691	407	15	5691	5691	NUM
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ejpam-5691	407	18	32	32	NUM
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ejpam-5691	407	20	khi2	khi2	PROPN
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ejpam-5691	408	2	isb4	isb4	PROPN
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ejpam-5691	408	4			NOUN
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ejpam-5691	409	5	]	]	X
ejpam-5691	409	6	,	,	PUNCT
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ejpam-5691	409	10	−0.6341	−0.6341	PROPN
ejpam-5691	409	11	]	]	X
ejpam-5691	409	12			X
ejpam-5691	409	13			NOUN
ejpam-5691	410	1	[	[	X
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ejpam-5691	410	4	0.1012	0.1012	NUM
ejpam-5691	410	5	]	]	PUNCT
ejpam-5691	410	6	,	,	PUNCT
ejpam-5691	410	7	[	[	X
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ejpam-5691	410	11	]	]	X
ejpam-5691	410	12			X
ejpam-5691	410	13			NOUN
ejpam-5691	411	1	[	[	X
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ejpam-5691	411	5	]	]	X
ejpam-5691	411	6	,	,	PUNCT
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ejpam-5691	411	9	,	,	PUNCT
ejpam-5691	411	10	−0.7213	−0.7213	X
ejpam-5691	411	11	]	]	X
ejpam-5691	411	12			ADJ
ejpam-5691	411	13			NOUN
ejpam-5691	411	14	[	[	X
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ejpam-5691	411	16	,	,	PUNCT
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ejpam-5691	411	18	]	]	PUNCT
ejpam-5691	411	19	,	,	PUNCT
ejpam-5691	412	1	[	[	X
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ejpam-5691	412	5	]	]	PUNCT
ejpam-5691	412	6			ADJ
ejpam-5691	412	7	ps2	ps2	NOUN
ejpam-5691	412	8			NOUN
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ejpam-5691	413	6	,	,	PUNCT
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ejpam-5691	413	12			X
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ejpam-5691	415	12			X
ejpam-5691	415	13			NOUN
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ejpam-5691	416	10	−0.5411	−0.5411	PROPN
ejpam-5691	416	11	]	]	PUNCT
ejpam-5691	416	12			ADJ
ejpam-5691	416	13	ps3	ps3	NOUN
ejpam-5691	416	14			NOUN
ejpam-5691	417	1	[	[	X
ejpam-5691	417	2	0.3213	0.3213	NUM
ejpam-5691	417	3	,	,	PUNCT
ejpam-5691	417	4	0.5987	0.5987	NUM
ejpam-5691	417	5	]	]	X
ejpam-5691	417	6	,	,	PUNCT
ejpam-5691	417	7	[	[	X
ejpam-5691	417	8	−0.2321	−0.2321	ADJ
ejpam-5691	417	9	,	,	PUNCT
ejpam-5691	417	10	−0.4101	−0.4101	PROPN
ejpam-5691	417	11	]	]	PUNCT
ejpam-5691	418	1			X
ejpam-5691	418	2			NOUN
ejpam-5691	419	1	[	[	X
ejpam-5691	419	2	0.1081	0.1081	NUM
ejpam-5691	419	3	,	,	PUNCT
ejpam-5691	419	4	0.3091	0.3091	NUM
ejpam-5691	419	5	]	]	PUNCT
ejpam-5691	419	6	,	,	PUNCT
ejpam-5691	420	1	[	[	X
ejpam-5691	420	2	−0.2081	−0.2081	NOUN
ejpam-5691	420	3	,	,	PUNCT
ejpam-5691	420	4	−0.4051	−0.4051	PROPN
ejpam-5691	420	5	]	]	PUNCT
ejpam-5691	420	6			X
ejpam-5691	420	7			NOUN
ejpam-5691	421	1	[	[	X
ejpam-5691	421	2	0.1222	0.1222	NUM
ejpam-5691	421	3	,	,	PUNCT
ejpam-5691	421	4	0.3322	0.3322	NUM
ejpam-5691	421	5	]	]	PUNCT
ejpam-5691	421	6	,	,	PUNCT
ejpam-5691	421	7	[	[	X
ejpam-5691	421	8	−0.2122	−0.2122	X
ejpam-5691	421	9	,	,	PUNCT
ejpam-5691	421	10	−0.4222	−0.4222	PROPN
ejpam-5691	421	11	]	]	PUNCT
ejpam-5691	421	12			NOUN
ejpam-5691	421	13			NOUN
ejpam-5691	422	1	[	[	X
ejpam-5691	422	2	0.1209	0.1209	NUM
ejpam-5691	422	3	,	,	PUNCT
ejpam-5691	422	4	0.3011	0.3011	NUM
ejpam-5691	422	5	]	]	PUNCT
ejpam-5691	422	6	,	,	PUNCT
ejpam-5691	422	7	[	[	X
ejpam-5691	422	8	−0.5201	−0.5201	NOUN
ejpam-5691	422	9	,	,	PUNCT
ejpam-5691	422	10	0.6012	0.6012	NUM
ejpam-5691	422	11	]	]	PUNCT
ejpam-5691	422	12			ADJ
ejpam-5691	422	13	ps4	ps4	NOUN
ejpam-5691	422	14			NOUN
ejpam-5691	423	1	[	[	X
ejpam-5691	423	2	0.0111	0.0111	NUM
ejpam-5691	423	3	,	,	PUNCT
ejpam-5691	423	4	0.5121	0.5121	NUM
ejpam-5691	423	5	]	]	PUNCT
ejpam-5691	423	6	,	,	PUNCT
ejpam-5691	423	7	[	[	X
ejpam-5691	423	8	−0.5011	−0.5011	X
ejpam-5691	423	9	,	,	PUNCT
ejpam-5691	423	10	0.9121	0.9121	NUM
ejpam-5691	423	11	]	]	PUNCT
ejpam-5691	423	12			NOUN
ejpam-5691	423	13			NOUN
ejpam-5691	424	1	[	[	X
ejpam-5691	424	2	0.3331	0.3331	NUM
ejpam-5691	424	3	,	,	PUNCT
ejpam-5691	424	4	0.3333	0.3333	NUM
ejpam-5691	424	5	]	]	PUNCT
ejpam-5691	424	6	,	,	PUNCT
ejpam-5691	424	7	[	[	X
ejpam-5691	424	8	−0.3332	−0.3332	NOUN
ejpam-5691	424	9	,	,	PUNCT
ejpam-5691	424	10	0.3334	0.3334	NUM
ejpam-5691	424	11	]	]	PUNCT
ejpam-5691	424	12			NOUN
ejpam-5691	424	13			NOUN
ejpam-5691	425	1	[	[	X
ejpam-5691	425	2	0.1239	0.1239	NUM
ejpam-5691	425	3	,	,	PUNCT
ejpam-5691	425	4	0.1411	0.1411	NUM
ejpam-5691	425	5	]	]	PUNCT
ejpam-5691	425	6	,	,	PUNCT
ejpam-5691	425	7	[	[	X
ejpam-5691	425	8	−0.6511	−0.6511	NOUN
ejpam-5691	425	9	,	,	PUNCT
ejpam-5691	425	10	−0.6312	−0.6312	PROPN
ejpam-5691	425	11	]	]	X
ejpam-5691	425	12			ADJ
ejpam-5691	425	13			NOUN
ejpam-5691	425	14	[	[	X
ejpam-5691	425	15	0.1871	0.1871	NUM
ejpam-5691	425	16	,	,	PUNCT
ejpam-5691	425	17	0.3561	0.3561	NUM
ejpam-5691	425	18	]	]	PUNCT
ejpam-5691	425	19	,	,	PUNCT
ejpam-5691	425	20	[	[	X
ejpam-5691	425	21	−0.2741	−0.2741	X
ejpam-5691	425	22	,	,	PUNCT
ejpam-5691	425	23	−0.4571	−0.4571	NUM
ejpam-5691	425	24	]	]	X
ejpam-5691	425	25			ADJ
ejpam-5691	425	26	step	step	NOUN
ejpam-5691	425	27	3	3	NUM
ejpam-5691	425	28	:	:	PUNCT
ejpam-5691	425	29	explain	explain	VERB
ejpam-5691	425	30	the	the	DET
ejpam-5691	425	31	bhffwa	bhffwa	NOUN
ejpam-5691	425	32	operator	operator	NOUN
ejpam-5691	425	33	as	as	SCONJ
ejpam-5691	425	34	presented	present	VERB
ejpam-5691	425	35	in	in	ADP
ejpam-5691	425	36	table	table	NOUN
ejpam-5691	425	37	4	4	NUM
ejpam-5691	425	38	and	and	CCONJ
ejpam-5691	425	39	ξ	ξ	X
ejpam-5691	425	40	=	=	PUNCT
ejpam-5691	425	41	(	(	PUNCT
ejpam-5691	425	42	0.26	0.26	NUM
ejpam-5691	425	43	,	,	PUNCT
ejpam-5691	425	44	0.21	0.21	NUM
ejpam-5691	425	45	,	,	PUNCT
ejpam-5691	425	46	0.25	0.25	NUM
ejpam-5691	425	47	,	,	PUNCT
ejpam-5691	425	48	0.28	0.28	NUM
ejpam-5691	425	49	)	)	PUNCT
ejpam-5691	425	50	.	.	PUNCT
ejpam-5691	426	1	bhffwa	bhffwa	NOUN
ejpam-5691	426	2	operator	operator	NOUN
ejpam-5691	426	3	table	table	NOUN
ejpam-5691	426	4	4	4	NUM
ejpam-5691	426	5	ps1	ps1	NOUN
ejpam-5691	427	1	[	[	X
ejpam-5691	427	2	[	[	X
ejpam-5691	427	3	0.1309	0.1309	NUM
ejpam-5691	427	4	,	,	PUNCT
ejpam-5691	427	5	0.3776	0.3776	NUM
ejpam-5691	427	6	]	]	PUNCT
ejpam-5691	427	7	,	,	PUNCT
ejpam-5691	428	1	[	[	X
ejpam-5691	428	2	−0.2961,−0.4521	−0.2961,−0.4521	X
ejpam-5691	428	3	]	]	X
ejpam-5691	428	4	]	]	X
ejpam-5691	428	5	ps2	ps2	PROPN
ejpam-5691	429	1	[	[	X
ejpam-5691	429	2	[	[	X
ejpam-5691	429	3	0.0901	0.0901	NUM
ejpam-5691	429	4	,	,	PUNCT
ejpam-5691	429	5	0.4512	0.4512	NUM
ejpam-5691	429	6	]	]	PUNCT
ejpam-5691	429	7	,	,	PUNCT
ejpam-5691	430	1	[	[	X
ejpam-5691	430	2	−0.1522,−0.6423	−0.1522,−0.6423	ADP
ejpam-5691	430	3	]	]	X
ejpam-5691	430	4	]	]	X
ejpam-5691	430	5	ps3	ps3	NOUN
ejpam-5691	431	1	[	[	X
ejpam-5691	431	2	[	[	X
ejpam-5691	431	3	0.6713	0.6713	NUM
ejpam-5691	431	4	,	,	PUNCT
ejpam-5691	431	5	0.9737	0.9737	NUM
ejpam-5691	431	6	]	]	PUNCT
ejpam-5691	431	7	,	,	PUNCT
ejpam-5691	432	1	[	[	X
ejpam-5691	432	2	−0.2321,−0.3001	−0.2321,−0.3001	X
ejpam-5691	432	3	]	]	X
ejpam-5691	432	4	]	]	PUNCT
ejpam-5691	432	5	ps4	ps4	PROPN
ejpam-5691	433	1	[	[	X
ejpam-5691	433	2	[	[	X
ejpam-5691	433	3	0.3417	0.3417	NUM
ejpam-5691	433	4	,	,	PUNCT
ejpam-5691	433	5	0.6721	0.6721	NUM
ejpam-5691	433	6	]	]	PUNCT
ejpam-5691	433	7	,	,	PUNCT
ejpam-5691	434	1	[	[	X
ejpam-5691	434	2	−0.1012,−0.2098	−0.1012,−0.2098	X
ejpam-5691	434	3	]	]	X
ejpam-5691	434	4	]	]	PUNCT
ejpam-5691	434	5	step	step	NOUN
ejpam-5691	434	6	4	4	NUM
ejpam-5691	434	7	:	:	PUNCT
ejpam-5691	434	8	determine	determine	VERB
ejpam-5691	434	9	score	score	NOUN
ejpam-5691	434	10	function	function	NOUN
ejpam-5691	434	11	ψ1	ψ1	NOUN
ejpam-5691	434	12	=	=	PUNCT
ejpam-5691	434	13	0.0011,ψ2	0.0011,ψ2	NOUN
ejpam-5691	434	14	=	=	PUNCT
ejpam-5691	434	15	0.5672,ψ3	0.5672,ψ3	NOUN
ejpam-5691	435	1	=	=	SYM
ejpam-5691	435	2	0.2998,ψ4	0.2998,ψ4	NOUN
ejpam-5691	435	3	=	=	SYM
ejpam-5691	435	4	0.3406	0.3406	NUM
ejpam-5691	435	5	.	.	PUNCT
ejpam-5691	436	1	step	step	NOUN
ejpam-5691	436	2	5	5	NUM
ejpam-5691	436	3	:	:	PUNCT
ejpam-5691	436	4	establish	establish	VERB
ejpam-5691	436	5	the	the	DET
ejpam-5691	436	6	ranking	ranking	ADJ
ejpam-5691	436	7	a.	a.	NOUN
ejpam-5691	436	8	fahmi	fahmi	PROPN
ejpam-5691	436	9	et	et	PROPN
ejpam-5691	436	10	al	al	PROPN
ejpam-5691	436	11	.	.	PUNCT
ejpam-5691	436	12	/	/	SYM
ejpam-5691	436	13	eur	eur	PROPN
ejpam-5691	436	14	.	.	PUNCT
ejpam-5691	437	1	j.	j.	PROPN
ejpam-5691	437	2	pure	pure	PROPN
ejpam-5691	437	3	appl	appl	PROPN
ejpam-5691	437	4	.	.	PROPN
ejpam-5691	437	5	math	math	PROPN
ejpam-5691	437	6	,	,	PUNCT
ejpam-5691	437	7	18	18	NUM
ejpam-5691	437	8	(	(	PUNCT
ejpam-5691	437	9	1	1	NUM
ejpam-5691	437	10	)	)	PUNCT
ejpam-5691	437	11	(	(	PUNCT
ejpam-5691	437	12	2025	2025	NUM
ejpam-5691	437	13	)	)	PUNCT
ejpam-5691	437	14	,	,	PUNCT
ejpam-5691	437	15	5691	5691	NUM
ejpam-5691	437	16	23	23	NUM
ejpam-5691	437	17	of	of	ADP
ejpam-5691	437	18	32	32	NUM
ejpam-5691	437	19	figure	figure	NOUN
ejpam-5691	437	20	4	4	NUM
ejpam-5691	437	21	is	be	AUX
ejpam-5691	437	22	given	give	VERB
ejpam-5691	437	23	as	as	ADP
ejpam-5691	437	24	figure	figure	NOUN
ejpam-5691	437	25	4	4	NUM
ejpam-5691	437	26	:	:	PUNCT
ejpam-5691	437	27	proposed	propose	VERB
ejpam-5691	437	28	method	method	NOUN
ejpam-5691	437	29	6.2	6.2	NUM
ejpam-5691	437	30	.	.	PUNCT
ejpam-5691	438	1	comparsion	comparsion	NOUN
ejpam-5691	438	2	technique	technique	NOUN
ejpam-5691	438	3	with	with	ADP
ejpam-5691	438	4	existing	exist	VERB
ejpam-5691	438	5	method	method	NOUN
ejpam-5691	438	6	to	to	PART
ejpam-5691	438	7	validate	validate	VERB
ejpam-5691	438	8	the	the	DET
ejpam-5691	438	9	effectiveness	effectiveness	NOUN
ejpam-5691	438	10	of	of	ADP
ejpam-5691	438	11	the	the	DET
ejpam-5691	438	12	proposed	propose	VERB
ejpam-5691	438	13	bipolar	bipolar	ADJ
ejpam-5691	438	14	fermatean	fermatean	NOUN
ejpam-5691	438	15	fuzzy	fuzzy	ADJ
ejpam-5691	438	16	hamacher	hamacher	NOUN
ejpam-5691	438	17	aggregation	aggregation	NOUN
ejpam-5691	438	18	operators	operator	NOUN
ejpam-5691	438	19	(	(	PUNCT
ejpam-5691	438	20	bfhfwa	bfhfwa	X
ejpam-5691	438	21	,	,	PUNCT
ejpam-5691	438	22	bfhfowa	bfhfowa	NOUN
ejpam-5691	438	23	,	,	PUNCT
ejpam-5691	438	24	bfhfhwa	bfhfhwa	NOUN
ejpam-5691	438	25	)	)	PUNCT
ejpam-5691	438	26	,	,	PUNCT
ejpam-5691	438	27	a	a	DET
ejpam-5691	438	28	comparative	comparative	ADJ
ejpam-5691	438	29	study	study	NOUN
ejpam-5691	438	30	was	be	AUX
ejpam-5691	438	31	conducted	conduct	VERB
ejpam-5691	438	32	against	against	ADP
ejpam-5691	438	33	established	establish	VERB
ejpam-5691	438	34	aggregation	aggregation	NOUN
ejpam-5691	438	35	methods	method	NOUN
ejpam-5691	438	36	in	in	ADP
ejpam-5691	438	37	fuzzy	fuzzy	ADJ
ejpam-5691	438	38	decision	decision	NOUN
ejpam-5691	438	39	-	-	PUNCT
ejpam-5691	438	40	making	make	VERB
ejpam-5691	438	41	literature	literature	NOUN
ejpam-5691	438	42	.	.	PUNCT
ejpam-5691	439	1	the	the	DET
ejpam-5691	439	2	evaluation	evaluation	NOUN
ejpam-5691	439	3	criteria	criterion	NOUN
ejpam-5691	439	4	include	include	VERB
ejpam-5691	439	5	decision	decision	NOUN
ejpam-5691	439	6	accuracy	accuracy	NOUN
ejpam-5691	439	7	,	,	PUNCT
ejpam-5691	439	8	uncertainty	uncertainty	NOUN
ejpam-5691	439	9	management	management	NOUN
ejpam-5691	439	10	,	,	PUNCT
ejpam-5691	439	11	computational	computational	ADJ
ejpam-5691	439	12	efficiency	efficiency	NOUN
ejpam-5691	439	13	,	,	PUNCT
ejpam-5691	439	14	robustness	robustness	NOUN
ejpam-5691	439	15	and	and	CCONJ
ejpam-5691	439	16	well	well	ADV
ejpam-5691	439	17	-	-	PUNCT
ejpam-5691	439	18	established	establish	VERB
ejpam-5691	439	19	methods	method	NOUN
ejpam-5691	439	20	such	such	ADJ
ejpam-5691	439	21	as	as	ADP
ejpam-5691	439	22	those	those	PRON
ejpam-5691	439	23	by	by	ADP
ejpam-5691	439	24	senapati	senapati	PROPN
ejpam-5691	439	25	et	et	PROPN
ejpam-5691	439	26	al	al	PROPN
ejpam-5691	439	27	.	.	PUNCT
ejpam-5691	440	1	[	[	X
ejpam-5691	440	2	34	34	NUM
ejpam-5691	440	3	]	]	PUNCT
ejpam-5691	440	4	,	,	PUNCT
ejpam-5691	440	5	akram	akram	PROPN
ejpam-5691	440	6	et	et	PROPN
ejpam-5691	440	7	al	al	PROPN
ejpam-5691	440	8	.	.	PUNCT
ejpam-5691	441	1	[	[	X
ejpam-5691	441	2	51	51	NUM
ejpam-5691	441	3	]	]	PUNCT
ejpam-5691	441	4	,	,	PUNCT
ejpam-5691	441	5	aliya	aliya	NOUN
ejpam-5691	441	6	et	et	PROPN
ejpam-5691	441	7	al	al	PROPN
ejpam-5691	441	8	.	.	PUNCT
ejpam-5691	442	1	[	[	X
ejpam-5691	442	2	18	18	NUM
ejpam-5691	442	3	,	,	PUNCT
ejpam-5691	442	4	19	19	NUM
ejpam-5691	442	5	]	]	PUNCT
ejpam-5691	442	6	,	,	PUNCT
ejpam-5691	442	7	zhang	zhang	PROPN
ejpam-5691	443	1	[	[	X
ejpam-5691	443	2	50	50	NUM
ejpam-5691	443	3	]	]	PUNCT
ejpam-5691	443	4	and	and	CCONJ
ejpam-5691	443	5	wei	wei	PROPN
ejpam-5691	443	6	et	et	PROPN
ejpam-5691	443	7	al	al	PROPN
ejpam-5691	443	8	.	.	PUNCT
ejpam-5691	444	1	[	[	X
ejpam-5691	444	2	39	39	NUM
ejpam-5691	444	3	]	]	PUNCT
ejpam-5691	444	4	.	.	PUNCT
ejpam-5691	445	1	the	the	DET
ejpam-5691	445	2	practical	practical	ADJ
ejpam-5691	445	3	relevance	relevance	NOUN
ejpam-5691	445	4	is	be	AUX
ejpam-5691	445	5	demonstrated	demonstrate	VERB
ejpam-5691	445	6	through	through	ADP
ejpam-5691	445	7	an	an	DET
ejpam-5691	445	8	e	e	NOUN
ejpam-5691	445	9	-	-	ADJ
ejpam-5691	445	10	waste	waste	ADJ
ejpam-5691	445	11	management	management	NOUN
ejpam-5691	445	12	scenario	scenario	NOUN
ejpam-5691	445	13	,	,	PUNCT
ejpam-5691	445	14	emphasizing	emphasize	VERB
ejpam-5691	445	15	the	the	DET
ejpam-5691	445	16	selection	selection	NOUN
ejpam-5691	445	17	of	of	ADP
ejpam-5691	445	18	optimal	optimal	ADJ
ejpam-5691	445	19	recycling	recycling	NOUN
ejpam-5691	445	20	partners	partner	NOUN
ejpam-5691	445	21	based	base	VERB
ejpam-5691	445	22	on	on	ADP
ejpam-5691	445	23	environmental	environmental	ADJ
ejpam-5691	445	24	,	,	PUNCT
ejpam-5691	445	25	economic	economic	ADJ
ejpam-5691	445	26	,	,	PUNCT
ejpam-5691	445	27	and	and	CCONJ
ejpam-5691	445	28	operational	operational	ADJ
ejpam-5691	445	29	criteria	criterion	NOUN
ejpam-5691	445	30	.	.	PUNCT
ejpam-5691	446	1	different	different	ADJ
ejpam-5691	446	2	existing	exist	VERB
ejpam-5691	446	3	techniques	technique	NOUN
ejpam-5691	446	4	tables	table	NOUN
ejpam-5691	446	5	5	5	NUM
ejpam-5691	446	6	and	and	CCONJ
ejpam-5691	446	7	6	6	NUM
ejpam-5691	446	8	are	be	AUX
ejpam-5691	446	9	given	give	VERB
ejpam-5691	446	10	as	as	ADP
ejpam-5691	446	11	.	.	PUNCT
ejpam-5691	446	12	a.	a.	PROPN
ejpam-5691	446	13	fahmi	fahmi	PROPN
ejpam-5691	446	14	et	et	PROPN
ejpam-5691	446	15	al	al	PROPN
ejpam-5691	446	16	.	.	PUNCT
ejpam-5691	446	17	/	/	SYM
ejpam-5691	446	18	eur	eur	PROPN
ejpam-5691	446	19	.	.	PUNCT
ejpam-5691	447	1	j.	j.	PROPN
ejpam-5691	447	2	pure	pure	PROPN
ejpam-5691	447	3	appl	appl	PROPN
ejpam-5691	447	4	.	.	PROPN
ejpam-5691	447	5	math	math	PROPN
ejpam-5691	447	6	,	,	PUNCT
ejpam-5691	447	7	18	18	NUM
ejpam-5691	447	8	(	(	PUNCT
ejpam-5691	447	9	1	1	NUM
ejpam-5691	447	10	)	)	PUNCT
ejpam-5691	447	11	(	(	PUNCT
ejpam-5691	447	12	2025	2025	NUM
ejpam-5691	447	13	)	)	PUNCT
ejpam-5691	447	14	,	,	PUNCT
ejpam-5691	447	15	5691	5691	NUM
ejpam-5691	447	16	24	24	NUM
ejpam-5691	447	17	of	of	ADP
ejpam-5691	447	18	32	32	NUM
ejpam-5691	447	19	different	different	ADJ
ejpam-5691	447	20	existing	exist	VERB
ejpam-5691	447	21	techniques	technique	NOUN
ejpam-5691	447	22	table	table	NOUN
ejpam-5691	447	23	5	5	NUM
ejpam-5691	447	24	methods	method	NOUN
ejpam-5691	447	25	score	score	NOUN
ejpam-5691	447	26	function	function	NOUN
ejpam-5691	447	27	ranking	rank	VERB
ejpam-5691	447	28	final	final	ADJ
ejpam-5691	447	29	ranking	ranking	ADJ
ejpam-5691	447	30	bfhfwa	bfhfwa	NOUN
ejpam-5691	447	31	operators	operator	NOUN
ejpam-5691	447	32			VERB
ejpam-5691	447	33	ψ1	ψ1	NOUN
ejpam-5691	447	34	=	=	PUNCT
ejpam-5691	447	35	0.0011	0.0011	NUM
ejpam-5691	447	36	,	,	PUNCT
ejpam-5691	447	37	ψ2	ψ2	NOUN
ejpam-5691	447	38	=	=	SYM
ejpam-5691	447	39	0.5672	0.5672	NUM
ejpam-5691	447	40	,	,	PUNCT
ejpam-5691	447	41	ψ3	ψ3	NOUN
ejpam-5691	447	42	=	=	SYM
ejpam-5691	447	43	0.2998	0.2998	NUM
ejpam-5691	447	44	,	,	PUNCT
ejpam-5691	448	1	ψ4	ψ4	PROPN
ejpam-5691	448	2	=	=	SYM
ejpam-5691	448	3	0.3406	0.3406	NUM
ejpam-5691	448	4			PROPN
ejpam-5691	448	5			NUM
ejpam-5691	448	6	ψ2	ψ2	NOUN
ejpam-5691	448	7	>	>	X
ejpam-5691	448	8	ψ4	ψ4	PROPN
ejpam-5691	448	9	>	>	X
ejpam-5691	448	10	ψ3	ψ3	PROPN
ejpam-5691	448	11	>	>	X
ejpam-5691	448	12	ψ1	ψ1	ADJ
ejpam-5691	448	13			PROPN
ejpam-5691	448	14			NUM
ejpam-5691	448	15	ψ2	ψ2	NOUN
ejpam-5691	448	16	>	>	X
ejpam-5691	448	17	ψ4	ψ4	PROPN
ejpam-5691	448	18	>	>	X
ejpam-5691	448	19	ψ3	ψ3	PROPN
ejpam-5691	448	20	>	>	X
ejpam-5691	448	21	ψ1	ψ1	ADJ
ejpam-5691	448	22			PROPN
ejpam-5691	448	23	bfhfowa	bfhfowa	NOUN
ejpam-5691	448	24	operators	operator	NOUN
ejpam-5691	448	25			VERB
ejpam-5691	448	26	ψ1	ψ1	NOUN
ejpam-5691	448	27	=	=	SYM
ejpam-5691	448	28	0.0125	0.0125	NUM
ejpam-5691	448	29	,	,	PUNCT
ejpam-5691	448	30	ψ2	ψ2	NOUN
ejpam-5691	448	31	=	=	SYM
ejpam-5691	448	32	0.6263	0.6263	NUM
ejpam-5691	448	33	,	,	PUNCT
ejpam-5691	448	34	ψ3	ψ3	NOUN
ejpam-5691	448	35	=	=	SYM
ejpam-5691	448	36	0.3981	0.3981	NUM
ejpam-5691	448	37	,	,	PUNCT
ejpam-5691	448	38	ψ4	ψ4	NOUN
ejpam-5691	448	39	=	=	PROPN
ejpam-5691	448	40	0.4212	0.4212	NUM
ejpam-5691	448	41			PROPN
ejpam-5691	448	42			NUM
ejpam-5691	448	43	ψ2	ψ2	NOUN
ejpam-5691	448	44	>	>	X
ejpam-5691	448	45	ψ4	ψ4	PROPN
ejpam-5691	448	46	>	>	X
ejpam-5691	448	47	ψ3	ψ3	PROPN
ejpam-5691	448	48	>	>	X
ejpam-5691	448	49	ψ1	ψ1	ADJ
ejpam-5691	448	50			PROPN
ejpam-5691	448	51			NUM
ejpam-5691	448	52	ψ2	ψ2	NOUN
ejpam-5691	448	53	>	>	X
ejpam-5691	448	54	ψ4	ψ4	PROPN
ejpam-5691	448	55	>	>	X
ejpam-5691	448	56	ψ3	ψ3	PROPN
ejpam-5691	448	57	>	>	X
ejpam-5691	448	58	ψ1	ψ1	ADJ
ejpam-5691	448	59			PROPN
ejpam-5691	448	60	bfhfhwa	bfhfhwa	NOUN
ejpam-5691	448	61	operators	operator	NOUN
ejpam-5691	448	62			VERB
ejpam-5691	448	63	ψ1	ψ1	NOUN
ejpam-5691	448	64	=	=	PUNCT
ejpam-5691	448	65	0.0234	0.0234	NUM
ejpam-5691	448	66	,	,	PUNCT
ejpam-5691	448	67	ψ2	ψ2	NOUN
ejpam-5691	448	68	=	=	SYM
ejpam-5691	448	69	0.8923	0.8923	NUM
ejpam-5691	448	70	,	,	PUNCT
ejpam-5691	448	71	ψ3	ψ3	NOUN
ejpam-5691	448	72	=	=	NOUN
ejpam-5691	448	73	0.4527	0.4527	NUM
ejpam-5691	448	74	,	,	PUNCT
ejpam-5691	448	75	ψ4	ψ4	NOUN
ejpam-5691	448	76	=	=	SYM
ejpam-5691	448	77	0.5028	0.5028	NUM
ejpam-5691	448	78			PROPN
ejpam-5691	448	79			NUM
ejpam-5691	448	80	ψ2	ψ2	NOUN
ejpam-5691	448	81	>	>	X
ejpam-5691	448	82	ψ4	ψ4	PROPN
ejpam-5691	448	83	>	>	X
ejpam-5691	448	84	ψ3	ψ3	PROPN
ejpam-5691	448	85	>	>	X
ejpam-5691	448	86	ψ1	ψ1	ADJ
ejpam-5691	448	87			PROPN
ejpam-5691	448	88			NUM
ejpam-5691	448	89	ψ2	ψ2	NOUN
ejpam-5691	448	90	>	>	X
ejpam-5691	448	91	ψ4	ψ4	PROPN
ejpam-5691	448	92	>	>	X
ejpam-5691	448	93	ψ3	ψ3	PROPN
ejpam-5691	448	94	>	>	X
ejpam-5691	448	95	ψ1	ψ1	ADJ
ejpam-5691	448	96			PROPN
ejpam-5691	448	97	ffss	ffss	NOUN
ejpam-5691	448	98	[	[	X
ejpam-5691	448	99	34	34	NUM
ejpam-5691	448	100	]	]	SYM
ejpam-5691	448	101			X
ejpam-5691	448	102	ψ1	ψ1	NOUN
ejpam-5691	448	103	=	=	SYM
ejpam-5691	448	104	0.0107	0.0107	NUM
ejpam-5691	448	105	,	,	PUNCT
ejpam-5691	448	106	ψ2	ψ2	NOUN
ejpam-5691	448	107	=	=	SYM
ejpam-5691	448	108	0.4413	0.4413	NUM
ejpam-5691	448	109	,	,	PUNCT
ejpam-5691	448	110	ψ3	ψ3	NOUN
ejpam-5691	448	111	=	=	NOUN
ejpam-5691	448	112	0.1998	0.1998	NUM
ejpam-5691	448	113	,	,	PUNCT
ejpam-5691	448	114	ψ4	ψ4	NOUN
ejpam-5691	448	115	=	=	SYM
ejpam-5691	448	116	0.2451	0.2451	NUM
ejpam-5691	448	117	.	.	PUNCT
ejpam-5691	449	1			PROPN
ejpam-5691	449	2			NUM
ejpam-5691	449	3	ψ2	ψ2	NOUN
ejpam-5691	449	4	>	>	X
ejpam-5691	449	5	ψ4	ψ4	PROPN
ejpam-5691	449	6	>	>	X
ejpam-5691	449	7	ψ3	ψ3	PROPN
ejpam-5691	449	8	>	>	X
ejpam-5691	449	9	ψ1	ψ1	ADJ
ejpam-5691	449	10			PROPN
ejpam-5691	449	11			NUM
ejpam-5691	449	12	ψ2	ψ2	NOUN
ejpam-5691	449	13	>	>	X
ejpam-5691	449	14	ψ4	ψ4	PROPN
ejpam-5691	449	15	>	>	X
ejpam-5691	449	16	ψ3	ψ3	PROPN
ejpam-5691	449	17	>	>	X
ejpam-5691	449	18	ψ1	ψ1	ADJ
ejpam-5691	449	19			PROPN
ejpam-5691	449	20	mcdm	mcdm	ADV
ejpam-5691	449	21	[	[	X
ejpam-5691	449	22	5	5	NUM
ejpam-5691	449	23	]	]	SYM
ejpam-5691	449	24			X
ejpam-5691	449	25	ψ1	ψ1	NOUN
ejpam-5691	449	26	=	=	PUNCT
ejpam-5691	449	27	0.0317	0.0317	NUM
ejpam-5691	449	28	,	,	PUNCT
ejpam-5691	449	29	ψ2	ψ2	NOUN
ejpam-5691	449	30	=	=	SYM
ejpam-5691	449	31	0.6001	0.6001	NUM
ejpam-5691	449	32	,	,	PUNCT
ejpam-5691	449	33	ψ3	ψ3	NOUN
ejpam-5691	449	34	=	=	SYM
ejpam-5691	449	35	0.1276	0.1276	NUM
ejpam-5691	449	36	,	,	PUNCT
ejpam-5691	449	37	ψ4	ψ4	PROPN
ejpam-5691	449	38	=	=	SYM
ejpam-5691	449	39	0.1654	0.1654	NUM
ejpam-5691	449	40			PROPN
ejpam-5691	449	41			NUM
ejpam-5691	449	42	ψ2	ψ2	NOUN
ejpam-5691	449	43	>	>	X
ejpam-5691	449	44	ψ4	ψ4	PROPN
ejpam-5691	449	45	>	>	X
ejpam-5691	449	46	ψ3	ψ3	PROPN
ejpam-5691	449	47	>	>	X
ejpam-5691	449	48	ψ1	ψ1	ADJ
ejpam-5691	449	49			PROPN
ejpam-5691	449	50			NUM
ejpam-5691	449	51	ψ2	ψ2	NOUN
ejpam-5691	449	52	>	>	X
ejpam-5691	449	53	ψ4	ψ4	PROPN
ejpam-5691	449	54	>	>	X
ejpam-5691	449	55	ψ3	ψ3	PROPN
ejpam-5691	449	56	>	>	X
ejpam-5691	449	57	ψ1	ψ1	ADJ
ejpam-5691	449	58			PROPN
ejpam-5691	449	59	a.	a.	NOUN
ejpam-5691	449	60	fahmi	fahmi	PROPN
ejpam-5691	449	61	et	et	PROPN
ejpam-5691	449	62	al	al	PROPN
ejpam-5691	449	63	.	.	PUNCT
ejpam-5691	449	64	/	/	SYM
ejpam-5691	449	65	eur	eur	PROPN
ejpam-5691	449	66	.	.	PUNCT
ejpam-5691	450	1	j.	j.	PROPN
ejpam-5691	450	2	pure	pure	PROPN
ejpam-5691	450	3	appl	appl	PROPN
ejpam-5691	450	4	.	.	PROPN
ejpam-5691	450	5	math	math	PROPN
ejpam-5691	450	6	,	,	PUNCT
ejpam-5691	450	7	18	18	NUM
ejpam-5691	450	8	(	(	PUNCT
ejpam-5691	450	9	1	1	NUM
ejpam-5691	450	10	)	)	PUNCT
ejpam-5691	450	11	(	(	PUNCT
ejpam-5691	450	12	2025	2025	NUM
ejpam-5691	450	13	)	)	PUNCT
ejpam-5691	450	14	,	,	PUNCT
ejpam-5691	450	15	5691	5691	NUM
ejpam-5691	450	16	25	25	NUM
ejpam-5691	450	17	of	of	ADP
ejpam-5691	450	18	32	32	NUM
ejpam-5691	450	19	figure	figure	NOUN
ejpam-5691	450	20	5	5	NUM
ejpam-5691	450	21	is	be	AUX
ejpam-5691	450	22	given	give	VERB
ejpam-5691	450	23	as	as	ADP
ejpam-5691	450	24	figure	figure	NOUN
ejpam-5691	450	25	5	5	NUM
ejpam-5691	450	26	:	:	PUNCT
ejpam-5691	450	27	different	different	ADJ
ejpam-5691	450	28	existing	exist	VERB
ejpam-5691	450	29	techniques	technique	NOUN
ejpam-5691	450	30	different	different	ADJ
ejpam-5691	450	31	existing	exist	VERB
ejpam-5691	450	32	techniques	technique	NOUN
ejpam-5691	450	33	table	table	NOUN
ejpam-5691	450	34	6	6	NUM
ejpam-5691	450	35	methods	method	NOUN
ejpam-5691	450	36	score	score	NOUN
ejpam-5691	450	37	function	function	NOUN
ejpam-5691	450	38	ranking	rank	VERB
ejpam-5691	450	39	final	final	ADJ
ejpam-5691	450	40	ranking	ranking	ADJ
ejpam-5691	450	41	cubic	cubic	ADJ
ejpam-5691	450	42	einstein	einstein	NOUN
ejpam-5691	451	1	[	[	X
ejpam-5691	451	2	16	16	NUM
ejpam-5691	451	3	]	]	SYM
ejpam-5691	451	4			X
ejpam-5691	451	5	ψ1	ψ1	NOUN
ejpam-5691	451	6	=	=	SYM
ejpam-5691	451	7	0.2014	0.2014	NUM
ejpam-5691	451	8	,	,	PUNCT
ejpam-5691	451	9	ψ2	ψ2	NOUN
ejpam-5691	451	10	=	=	SYM
ejpam-5691	451	11	0.8755	0.8755	NUM
ejpam-5691	451	12	,	,	PUNCT
ejpam-5691	451	13	ψ3	ψ3	NOUN
ejpam-5691	451	14	=	=	SYM
ejpam-5691	451	15	0.5811	0.5811	NUM
ejpam-5691	451	16	,	,	PUNCT
ejpam-5691	451	17	ψ4	ψ4	PROPN
ejpam-5691	451	18	=	=	NOUN
ejpam-5691	451	19	0.6711	0.6711	NUM
ejpam-5691	451	20			PROPN
ejpam-5691	451	21			NUM
ejpam-5691	451	22	ψ2	ψ2	NOUN
ejpam-5691	451	23	>	>	X
ejpam-5691	451	24	ψ4	ψ4	PROPN
ejpam-5691	451	25	>	>	X
ejpam-5691	451	26	ψ3	ψ3	PROPN
ejpam-5691	451	27	>	>	X
ejpam-5691	451	28	ψ1	ψ1	ADJ
ejpam-5691	451	29			PROPN
ejpam-5691	451	30			NUM
ejpam-5691	451	31	ψ2	ψ2	NOUN
ejpam-5691	451	32	>	>	X
ejpam-5691	451	33	ψ4	ψ4	PROPN
ejpam-5691	451	34	>	>	X
ejpam-5691	451	35	ψ3	ψ3	PROPN
ejpam-5691	451	36	>	>	X
ejpam-5691	451	37	ψ1	ψ1	ADJ
ejpam-5691	451	38			PROPN
ejpam-5691	451	39	natural	natural	ADJ
ejpam-5691	451	40	gas	gas	NOUN
ejpam-5691	451	41	[	[	X
ejpam-5691	451	42	19	19	NUM
ejpam-5691	451	43	]	]	SYM
ejpam-5691	451	44			X
ejpam-5691	451	45	ψ1	ψ1	NOUN
ejpam-5691	451	46	=	=	SYM
ejpam-5691	451	47	0.2014	0.2014	NUM
ejpam-5691	451	48	,	,	PUNCT
ejpam-5691	451	49	ψ2	ψ2	NOUN
ejpam-5691	451	50	=	=	SYM
ejpam-5691	451	51	0.8755	0.8755	NUM
ejpam-5691	451	52	,	,	PUNCT
ejpam-5691	451	53	ψ3	ψ3	NOUN
ejpam-5691	451	54	=	=	SYM
ejpam-5691	451	55	0.5811	0.5811	NUM
ejpam-5691	451	56	,	,	PUNCT
ejpam-5691	451	57	ψ4	ψ4	PROPN
ejpam-5691	451	58	=	=	NOUN
ejpam-5691	451	59	0.6711	0.6711	NUM
ejpam-5691	451	60			PROPN
ejpam-5691	451	61			NUM
ejpam-5691	451	62	ψ2	ψ2	NOUN
ejpam-5691	451	63	>	>	X
ejpam-5691	451	64	ψ4	ψ4	PROPN
ejpam-5691	451	65	>	>	X
ejpam-5691	451	66	ψ3	ψ3	PROPN
ejpam-5691	451	67	>	>	X
ejpam-5691	451	68	ψ1	ψ1	ADJ
ejpam-5691	451	69			PROPN
ejpam-5691	451	70			NUM
ejpam-5691	451	71	ψ2	ψ2	NOUN
ejpam-5691	451	72	>	>	X
ejpam-5691	451	73	ψ4	ψ4	PROPN
ejpam-5691	451	74	>	>	X
ejpam-5691	451	75	ψ3	ψ3	PROPN
ejpam-5691	451	76	>	>	X
ejpam-5691	451	77	ψ1	ψ1	ADJ
ejpam-5691	451	78			PROPN
ejpam-5691	451	79	bipolar	bipolar	ADJ
ejpam-5691	451	80	fuzzy	fuzzy	ADJ
ejpam-5691	451	81	sets	set	NOUN
ejpam-5691	451	82	[	[	X
ejpam-5691	451	83	50	50	NUM
ejpam-5691	451	84	]	]	PUNCT
ejpam-5691	451	85			X
ejpam-5691	451	86	ψ1	ψ1	NOUN
ejpam-5691	451	87	=	=	SYM
ejpam-5691	451	88	0.2176	0.2176	NUM
ejpam-5691	451	89	,	,	PUNCT
ejpam-5691	451	90	ψ2	ψ2	NOUN
ejpam-5691	451	91	=	=	SYM
ejpam-5691	451	92	0.8021	0.8021	NUM
ejpam-5691	451	93	,	,	PUNCT
ejpam-5691	451	94	ψ3	ψ3	NOUN
ejpam-5691	451	95	=	=	SYM
ejpam-5691	451	96	0.6017	0.6017	NUM
ejpam-5691	451	97	,	,	PUNCT
ejpam-5691	451	98	ψ4	ψ4	NOUN
ejpam-5691	451	99	=	=	SYM
ejpam-5691	451	100	0.7081	0.7081	NUM
ejpam-5691	451	101			PROPN
ejpam-5691	451	102			NUM
ejpam-5691	451	103	ψ2	ψ2	NOUN
ejpam-5691	451	104	>	>	X
ejpam-5691	451	105	ψ4	ψ4	PROPN
ejpam-5691	451	106	>	>	X
ejpam-5691	451	107	ψ3	ψ3	PROPN
ejpam-5691	451	108	>	>	X
ejpam-5691	451	109	ψ1	ψ1	ADJ
ejpam-5691	451	110			PROPN
ejpam-5691	451	111			NUM
ejpam-5691	451	112	ψ2	ψ2	NOUN
ejpam-5691	451	113	>	>	X
ejpam-5691	451	114	ψ4	ψ4	PROPN
ejpam-5691	451	115	>	>	X
ejpam-5691	451	116	ψ3	ψ3	PROPN
ejpam-5691	451	117	>	>	X
ejpam-5691	451	118	ψ1	ψ1	ADJ
ejpam-5691	451	119			PROPN
ejpam-5691	451	120	hamacher	hamacher	NOUN
ejpam-5691	452	1	[	[	X
ejpam-5691	452	2	39	39	NUM
ejpam-5691	452	3	]	]	PUNCT
ejpam-5691	452	4			X
ejpam-5691	452	5	ψ1	ψ1	NOUN
ejpam-5691	452	6	=	=	SYM
ejpam-5691	452	7	0.0213	0.0213	NUM
ejpam-5691	452	8	,	,	PUNCT
ejpam-5691	452	9	ψ2	ψ2	NOUN
ejpam-5691	452	10	=	=	SYM
ejpam-5691	452	11	0.1745	0.1745	NUM
ejpam-5691	452	12	,	,	PUNCT
ejpam-5691	452	13	ψ3	ψ3	NOUN
ejpam-5691	452	14	=	=	SYM
ejpam-5691	452	15	0.0545	0.0545	NUM
ejpam-5691	452	16	,	,	PUNCT
ejpam-5691	452	17	ψ4	ψ4	NOUN
ejpam-5691	452	18	=	=	PROPN
ejpam-5691	452	19	0.0893	0.0893	NUM
ejpam-5691	452	20			PROPN
ejpam-5691	452	21			NUM
ejpam-5691	452	22	ψ2	ψ2	NOUN
ejpam-5691	452	23	>	>	X
ejpam-5691	452	24	ψ4	ψ4	PROPN
ejpam-5691	452	25	>	>	X
ejpam-5691	452	26	ψ3	ψ3	PROPN
ejpam-5691	452	27	>	>	X
ejpam-5691	452	28	ψ1	ψ1	ADJ
ejpam-5691	452	29			PROPN
ejpam-5691	452	30			NUM
ejpam-5691	452	31	ψ2	ψ2	NOUN
ejpam-5691	452	32	>	>	X
ejpam-5691	452	33	ψ4	ψ4	PROPN
ejpam-5691	452	34	>	>	X
ejpam-5691	452	35	ψ3	ψ3	PROPN
ejpam-5691	452	36	>	>	X
ejpam-5691	452	37	ψ1	ψ1	PROPN
ejpam-5691	452	38			PROPN
ejpam-5691	452	39	the	the	DET
ejpam-5691	452	40	comparison	comparison	NOUN
ejpam-5691	452	41	has	have	AUX
ejpam-5691	452	42	been	be	AUX
ejpam-5691	452	43	made	make	VERB
ejpam-5691	452	44	using	use	VERB
ejpam-5691	452	45	the	the	DET
ejpam-5691	452	46	following	follow	VERB
ejpam-5691	452	47	criteria	criterion	NOUN
ejpam-5691	452	48	:	:	PUNCT
ejpam-5691	452	49	decision	decision	NOUN
ejpam-5691	452	50	accuracy	accuracy	NOUN
ejpam-5691	452	51	:	:	PUNCT
ejpam-5691	452	52	evaluating	evaluate	VERB
ejpam-5691	452	53	the	the	DET
ejpam-5691	452	54	ability	ability	NOUN
ejpam-5691	452	55	of	of	ADP
ejpam-5691	452	56	methods	method	NOUN
ejpam-5691	452	57	to	to	PART
ejpam-5691	452	58	rank	rank	VERB
ejpam-5691	452	59	alternatives	alternative	NOUN
ejpam-5691	452	60	consistently	consistently	ADV
ejpam-5691	452	61	and	and	CCONJ
ejpam-5691	452	62	correctly	correctly	ADV
ejpam-5691	452	63	.	.	PUNCT
ejpam-5691	453	1	a.	a.	PROPN
ejpam-5691	453	2	fahmi	fahmi	PROPN
ejpam-5691	453	3	et	et	PROPN
ejpam-5691	453	4	al	al	PROPN
ejpam-5691	453	5	.	.	PUNCT
ejpam-5691	453	6	/	/	SYM
ejpam-5691	453	7	eur	eur	PROPN
ejpam-5691	453	8	.	.	PUNCT
ejpam-5691	454	1	j.	j.	PROPN
ejpam-5691	454	2	pure	pure	PROPN
ejpam-5691	454	3	appl	appl	PROPN
ejpam-5691	454	4	.	.	PROPN
ejpam-5691	454	5	math	math	PROPN
ejpam-5691	454	6	,	,	PUNCT
ejpam-5691	454	7	18	18	NUM
ejpam-5691	454	8	(	(	PUNCT
ejpam-5691	454	9	1	1	NUM
ejpam-5691	454	10	)	)	PUNCT
ejpam-5691	454	11	(	(	PUNCT
ejpam-5691	454	12	2025	2025	NUM
ejpam-5691	454	13	)	)	PUNCT
ejpam-5691	454	14	,	,	PUNCT
ejpam-5691	454	15	5691	5691	NUM
ejpam-5691	454	16	26	26	NUM
ejpam-5691	454	17	of	of	ADP
ejpam-5691	454	18	32	32	NUM
ejpam-5691	454	19	uncertainty	uncertainty	NOUN
ejpam-5691	454	20	management	management	NOUN
ejpam-5691	454	21	:	:	PUNCT
ejpam-5691	454	22	assess	assess	VERB
ejpam-5691	454	23	the	the	DET
ejpam-5691	454	24	ability	ability	NOUN
ejpam-5691	454	25	to	to	PART
ejpam-5691	454	26	handle	handle	VERB
ejpam-5691	454	27	imprecise	imprecise	ADV
ejpam-5691	454	28	and	and	CCONJ
ejpam-5691	454	29	conflicting	conflicting	ADJ
ejpam-5691	454	30	data	datum	NOUN
ejpam-5691	454	31	effectively	effectively	ADV
ejpam-5691	454	32	.	.	PUNCT
ejpam-5691	455	1	computational	computational	ADJ
ejpam-5691	455	2	efficiency	efficiency	NOUN
ejpam-5691	455	3	:	:	PUNCT
ejpam-5691	455	4	comparison	comparison	NOUN
ejpam-5691	455	5	of	of	ADP
ejpam-5691	455	6	execution	execution	NOUN
ejpam-5691	455	7	time	time	NOUN
ejpam-5691	455	8	and	and	CCONJ
ejpam-5691	455	9	resource	resource	NOUN
ejpam-5691	455	10	utilization	utilization	NOUN
ejpam-5691	455	11	of	of	ADP
ejpam-5691	455	12	the	the	DET
ejpam-5691	455	13	methods	method	NOUN
ejpam-5691	455	14	.	.	PUNCT
ejpam-5691	456	1	robustness	robustness	NOUN
ejpam-5691	456	2	:	:	PUNCT
ejpam-5691	456	3	analyzing	analyze	VERB
ejpam-5691	456	4	sensitivity	sensitivity	NOUN
ejpam-5691	456	5	to	to	ADP
ejpam-5691	456	6	variations	variation	NOUN
ejpam-5691	456	7	in	in	ADP
ejpam-5691	456	8	input	input	NOUN
ejpam-5691	456	9	data	datum	NOUN
ejpam-5691	456	10	.	.	PUNCT
ejpam-5691	457	1	enhanced	enhance	VERB
ejpam-5691	457	2	demonstration	demonstration	NOUN
ejpam-5691	457	3	:	:	PUNCT
ejpam-5691	457	4	we	we	PRON
ejpam-5691	457	5	provide	provide	VERB
ejpam-5691	457	6	a	a	DET
ejpam-5691	457	7	step	step	NOUN
ejpam-5691	457	8	-	-	PUNCT
ejpam-5691	457	9	by	by	ADP
ejpam-5691	457	10	-	-	PUNCT
ejpam-5691	457	11	step	step	NOUN
ejpam-5691	457	12	demonstration	demonstration	NOUN
ejpam-5691	457	13	of	of	ADP
ejpam-5691	457	14	the	the	DET
ejpam-5691	457	15	proposed	propose	VERB
ejpam-5691	457	16	methods	method	NOUN
ejpam-5691	457	17	,	,	PUNCT
ejpam-5691	457	18	showing	show	VERB
ejpam-5691	457	19	how	how	SCONJ
ejpam-5691	457	20	they	they	PRON
ejpam-5691	457	21	perform	perform	VERB
ejpam-5691	457	22	better	well	ADV
ejpam-5691	457	23	in	in	ADP
ejpam-5691	457	24	real	real	ADJ
ejpam-5691	457	25	-	-	PUNCT
ejpam-5691	457	26	world	world	NOUN
ejpam-5691	457	27	decision	decision	NOUN
ejpam-5691	457	28	-	-	PUNCT
ejpam-5691	457	29	making	make	VERB
ejpam-5691	457	30	scenarios	scenario	NOUN
ejpam-5691	457	31	,	,	PUNCT
ejpam-5691	457	32	particularly	particularly	ADV
ejpam-5691	457	33	the	the	DET
ejpam-5691	457	34	e	e	ADJ
ejpam-5691	457	35	-	-	ADJ
ejpam-5691	457	36	waste	waste	ADJ
ejpam-5691	457	37	management	management	NOUN
ejpam-5691	457	38	case	case	NOUN
ejpam-5691	457	39	study	study	NOUN
ejpam-5691	457	40	.	.	PUNCT
ejpam-5691	458	1	these	these	DET
ejpam-5691	458	2	examples	example	NOUN
ejpam-5691	458	3	illustrate	illustrate	VERB
ejpam-5691	458	4	the	the	DET
ejpam-5691	458	5	advantages	advantage	NOUN
ejpam-5691	458	6	of	of	ADP
ejpam-5691	458	7	our	our	PRON
ejpam-5691	458	8	approach	approach	NOUN
ejpam-5691	458	9	in	in	ADP
ejpam-5691	458	10	terms	term	NOUN
ejpam-5691	458	11	of	of	ADP
ejpam-5691	458	12	ranking	ranking	ADJ
ejpam-5691	458	13	accuracy	accuracy	NOUN
ejpam-5691	458	14	,	,	PUNCT
ejpam-5691	458	15	reduced	reduce	VERB
ejpam-5691	458	16	computational	computational	ADJ
ejpam-5691	458	17	effort	effort	NOUN
ejpam-5691	458	18	,	,	PUNCT
ejpam-5691	458	19	and	and	CCONJ
ejpam-5691	458	20	better	well	ADJ
ejpam-5691	458	21	handling	handling	NOUN
ejpam-5691	458	22	of	of	ADP
ejpam-5691	458	23	conflicting	conflicting	ADJ
ejpam-5691	458	24	criteria	criterion	NOUN
ejpam-5691	458	25	.	.	PUNCT
ejpam-5691	459	1	6.3	6.3	NUM
ejpam-5691	459	2	.	.	PUNCT
ejpam-5691	460	1	experimental	experimental	ADJ
ejpam-5691	460	2	of	of	ADP
ejpam-5691	460	3	the	the	DET
ejpam-5691	460	4	study	study	NOUN
ejpam-5691	460	5	in	in	ADP
ejpam-5691	460	6	this	this	DET
ejpam-5691	460	7	subsection	subsection	NOUN
ejpam-5691	460	8	,	,	PUNCT
ejpam-5691	460	9	we	we	PRON
ejpam-5691	460	10	define	define	VERB
ejpam-5691	460	11	the	the	DET
ejpam-5691	460	12	experimental	experimental	NOUN
ejpam-5691	460	13	of	of	ADP
ejpam-5691	460	14	the	the	DET
ejpam-5691	460	15	study	study	NOUN
ejpam-5691	460	16	as	as	ADP
ejpam-5691	460	17	table	table	NOUN
ejpam-5691	460	18	7	7	NUM
ejpam-5691	460	19	.	.	PUNCT
ejpam-5691	461	1	experimental	experimental	ADJ
ejpam-5691	461	2	study	study	NOUN
ejpam-5691	461	3	table	table	NOUN
ejpam-5691	461	4	7	7	NUM
ejpam-5691	461	5	bff	bff	VERB
ejpam-5691	461	6	operators	operator	NOUN
ejpam-5691	461	7	uncertainty	uncertainty	NOUN
ejpam-5691	461	8	efficiency	efficiency	NOUN
ejpam-5691	461	9	precision	precision	NOUN
ejpam-5691	461	10	decision	decision	NOUN
ejpam-5691	461	11	analysis	analysis	NOUN
ejpam-5691	461	12	bfhfwa	bfhfwa	X
ejpam-5691	461	13	operator	operator	NOUN
ejpam-5691	461	14	high	high	ADJ
ejpam-5691	461	15	high	high	ADJ
ejpam-5691	461	16	high	high	ADJ
ejpam-5691	461	17	very	very	ADV
ejpam-5691	461	18	low	low	ADJ
ejpam-5691	461	19	[	[	X
ejpam-5691	461	20	48	48	NUM
ejpam-5691	461	21	]	]	X
ejpam-5691	461	22	low	low	ADJ
ejpam-5691	461	23	very	very	ADV
ejpam-5691	461	24	low	low	ADJ
ejpam-5691	461	25	very	very	ADV
ejpam-5691	461	26	low	low	ADJ
ejpam-5691	461	27	moderate	moderate	ADJ
ejpam-5691	462	1	[	[	X
ejpam-5691	462	2	44	44	NUM
ejpam-5691	462	3	]	]	SYM
ejpam-5691	462	4	moderate	moderate	ADJ
ejpam-5691	462	5	high	high	ADJ
ejpam-5691	462	6	moderate	moderate	ADJ
ejpam-5691	462	7	high	high	ADJ
ejpam-5691	462	8	[	[	X
ejpam-5691	462	9	43	43	NUM
ejpam-5691	462	10	]	]	X
ejpam-5691	462	11	very	very	ADV
ejpam-5691	462	12	low	low	ADJ
ejpam-5691	462	13	very	very	ADV
ejpam-5691	462	14	low	low	ADJ
ejpam-5691	462	15	low	low	ADJ
ejpam-5691	462	16	very	very	ADV
ejpam-5691	462	17	low	low	ADJ
ejpam-5691	462	18	[	[	X
ejpam-5691	462	19	42	42	NUM
ejpam-5691	462	20	]	]	X
ejpam-5691	462	21	very	very	ADV
ejpam-5691	462	22	high	high	ADJ
ejpam-5691	462	23	high	high	ADJ
ejpam-5691	462	24	high	high	ADJ
ejpam-5691	462	25	moderate	moderate	ADJ
ejpam-5691	462	26	6.4	6.4	NUM
ejpam-5691	462	27	.	.	PUNCT
ejpam-5691	462	28	advantages	advantage	NOUN
ejpam-5691	462	29	of	of	ADP
ejpam-5691	462	30	the	the	DET
ejpam-5691	462	31	proposed	propose	VERB
ejpam-5691	462	32	method	method	NOUN
ejpam-5691	462	33	bffs	bff	NOUN
ejpam-5691	462	34	allow	allow	VERB
ejpam-5691	462	35	for	for	ADP
ejpam-5691	462	36	the	the	DET
ejpam-5691	462	37	representation	representation	NOUN
ejpam-5691	462	38	of	of	ADP
ejpam-5691	462	39	both	both	CCONJ
ejpam-5691	462	40	positive	positive	ADJ
ejpam-5691	462	41	and	and	CCONJ
ejpam-5691	462	42	negative	negative	ADJ
ejpam-5691	462	43	membership	membership	NOUN
ejpam-5691	462	44	degrees	degree	NOUN
ejpam-5691	462	45	.	.	PUNCT
ejpam-5691	463	1	this	this	DET
ejpam-5691	463	2	flexibility	flexibility	NOUN
ejpam-5691	463	3	allows	allow	VERB
ejpam-5691	463	4	for	for	ADP
ejpam-5691	463	5	a	a	DET
ejpam-5691	463	6	more	more	ADV
ejpam-5691	463	7	thorough	thorough	ADJ
ejpam-5691	463	8	representation	representation	NOUN
ejpam-5691	463	9	of	of	ADP
ejpam-5691	463	10	uncertainty	uncertainty	NOUN
ejpam-5691	463	11	and	and	CCONJ
ejpam-5691	463	12	ambiguity	ambiguity	NOUN
ejpam-5691	463	13	in	in	ADP
ejpam-5691	463	14	real	real	ADJ
ejpam-5691	463	15	-	-	PUNCT
ejpam-5691	463	16	world	world	NOUN
ejpam-5691	463	17	situations	situation	NOUN
ejpam-5691	463	18	.	.	PUNCT
ejpam-5691	464	1	by	by	ADP
ejpam-5691	464	2	considering	consider	VERB
ejpam-5691	464	3	both	both	CCONJ
ejpam-5691	464	4	positive	positive	ADJ
ejpam-5691	464	5	and	and	CCONJ
ejpam-5691	464	6	negative	negative	ADJ
ejpam-5691	464	7	factors	factor	NOUN
ejpam-5691	464	8	,	,	PUNCT
ejpam-5691	464	9	bffs	bff	NOUN
ejpam-5691	464	10	enhance	enhance	VERB
ejpam-5691	464	11	decision	decision	NOUN
ejpam-5691	464	12	-	-	PUNCT
ejpam-5691	464	13	making	make	VERB
ejpam-5691	464	14	processes	process	NOUN
ejpam-5691	464	15	,	,	PUNCT
ejpam-5691	464	16	particularly	particularly	ADV
ejpam-5691	464	17	in	in	ADP
ejpam-5691	464	18	complex	complex	ADJ
ejpam-5691	464	19	environments	environment	NOUN
ejpam-5691	464	20	where	where	SCONJ
ejpam-5691	464	21	various	various	ADJ
ejpam-5691	464	22	conflicting	conflicting	ADJ
ejpam-5691	464	23	criteria	criterion	NOUN
ejpam-5691	464	24	must	must	AUX
ejpam-5691	464	25	be	be	AUX
ejpam-5691	464	26	evaluated	evaluate	VERB
ejpam-5691	464	27	.	.	PUNCT
ejpam-5691	465	1	bffs	bff	NOUN
ejpam-5691	465	2	reflect	reflect	VERB
ejpam-5691	465	3	the	the	DET
ejpam-5691	465	4	way	way	NOUN
ejpam-5691	465	5	humans	human	NOUN
ejpam-5691	465	6	naturally	naturally	ADV
ejpam-5691	465	7	assess	assess	VERB
ejpam-5691	465	8	situations	situation	NOUN
ejpam-5691	465	9	,	,	PUNCT
ejpam-5691	465	10	recognizing	recognize	VERB
ejpam-5691	465	11	both	both	CCONJ
ejpam-5691	465	12	favorable	favorable	ADJ
ejpam-5691	465	13	and	and	CCONJ
ejpam-5691	465	14	unfavorable	unfavorable	ADJ
ejpam-5691	465	15	attributes	attribute	NOUN
ejpam-5691	465	16	.	.	PUNCT
ejpam-5691	466	1	this	this	DET
ejpam-5691	466	2	alignment	alignment	NOUN
ejpam-5691	466	3	can	can	AUX
ejpam-5691	466	4	lead	lead	VERB
ejpam-5691	466	5	to	to	ADP
ejpam-5691	466	6	more	more	ADV
ejpam-5691	466	7	intuitive	intuitive	ADJ
ejpam-5691	466	8	and	and	CCONJ
ejpam-5691	466	9	relatable	relatable	ADJ
ejpam-5691	466	10	decision	decision	NOUN
ejpam-5691	466	11	models	model	NOUN
ejpam-5691	466	12	.	.	PUNCT
ejpam-5691	467	1	the	the	DET
ejpam-5691	467	2	bipolar	bipolar	ADJ
ejpam-5691	467	3	nature	nature	NOUN
ejpam-5691	467	4	of	of	ADP
ejpam-5691	467	5	bffs	bff	NOUN
ejpam-5691	467	6	is	be	AUX
ejpam-5691	467	7	particularly	particularly	ADV
ejpam-5691	467	8	advantageous	advantageous	ADJ
ejpam-5691	467	9	in	in	ADP
ejpam-5691	467	10	multi	multi	ADJ
ejpam-5691	467	11	-	-	ADJ
ejpam-5691	467	12	criteria	criterion	NOUN
ejpam-5691	467	13	decisionmaking	decisionmake	VERB
ejpam-5691	467	14	scenarios	scenario	NOUN
ejpam-5691	467	15	,	,	PUNCT
ejpam-5691	467	16	where	where	SCONJ
ejpam-5691	467	17	various	various	ADJ
ejpam-5691	467	18	attributes	attribute	NOUN
ejpam-5691	467	19	have	have	VERB
ejpam-5691	467	20	both	both	CCONJ
ejpam-5691	467	21	positive	positive	ADJ
ejpam-5691	467	22	and	and	CCONJ
ejpam-5691	467	23	negative	negative	ADJ
ejpam-5691	467	24	impacts	impact	NOUN
ejpam-5691	467	25	.	.	PUNCT
ejpam-5691	468	1	this	this	PRON
ejpam-5691	468	2	allows	allow	VERB
ejpam-5691	468	3	for	for	ADP
ejpam-5691	468	4	a	a	DET
ejpam-5691	468	5	more	more	ADV
ejpam-5691	468	6	holistic	holistic	ADJ
ejpam-5691	468	7	view	view	NOUN
ejpam-5691	468	8	of	of	ADP
ejpam-5691	468	9	options	option	NOUN
ejpam-5691	468	10	and	and	CCONJ
ejpam-5691	468	11	outcomes	outcome	NOUN
ejpam-5691	468	12	.	.	PUNCT
ejpam-5691	469	1	bffs	bff	NOUN
ejpam-5691	469	2	can	can	AUX
ejpam-5691	469	3	be	be	AUX
ejpam-5691	469	4	seamlessly	seamlessly	ADV
ejpam-5691	469	5	integrated	integrate	VERB
ejpam-5691	469	6	with	with	ADP
ejpam-5691	469	7	traditional	traditional	ADJ
ejpam-5691	469	8	fuzzy	fuzzy	ADJ
ejpam-5691	469	9	sets	set	NOUN
ejpam-5691	469	10	and	and	CCONJ
ejpam-5691	469	11	other	other	ADJ
ejpam-5691	469	12	mathematical	mathematical	ADJ
ejpam-5691	469	13	frameworks	framework	NOUN
ejpam-5691	469	14	,	,	PUNCT
ejpam-5691	469	15	facilitating	facilitate	VERB
ejpam-5691	469	16	hybrid	hybrid	ADJ
ejpam-5691	469	17	approaches	approach	NOUN
ejpam-5691	469	18	that	that	PRON
ejpam-5691	469	19	leverage	leverage	VERB
ejpam-5691	469	20	diverse	diverse	ADJ
ejpam-5691	469	21	methodologies	methodology	NOUN
ejpam-5691	469	22	for	for	ADP
ejpam-5691	469	23	improved	improved	ADJ
ejpam-5691	469	24	problem	problem	NOUN
ejpam-5691	469	25	-	-	PUNCT
ejpam-5691	469	26	solving	solving	NOUN
ejpam-5691	469	27	.	.	PUNCT
ejpam-5691	470	1	the	the	DET
ejpam-5691	470	2	use	use	NOUN
ejpam-5691	470	3	of	of	ADP
ejpam-5691	470	4	distinct	distinct	ADJ
ejpam-5691	470	5	bipolar	bipolar	ADJ
ejpam-5691	470	6	membership	membership	NOUN
ejpam-5691	470	7	functions	function	NOUN
ejpam-5691	470	8	allows	allow	VERB
ejpam-5691	470	9	for	for	ADP
ejpam-5691	470	10	clearer	clear	ADJ
ejpam-5691	470	11	representation	representation	NOUN
ejpam-5691	470	12	of	of	ADP
ejpam-5691	470	13	the	the	DET
ejpam-5691	470	14	affirmative	affirmative	ADJ
ejpam-5691	470	15	and	and	CCONJ
ejpam-5691	470	16	negative	negative	ADJ
ejpam-5691	470	17	aspects	aspect	NOUN
ejpam-5691	470	18	of	of	ADP
ejpam-5691	470	19	elements	element	NOUN
ejpam-5691	470	20	.	.	PUNCT
ejpam-5691	471	1	this	this	DET
ejpam-5691	471	2	clarity	clarity	NOUN
ejpam-5691	471	3	can	can	AUX
ejpam-5691	471	4	enhance	enhance	VERB
ejpam-5691	471	5	data	data	NOUN
ejpam-5691	471	6	visualization	visualization	NOUN
ejpam-5691	471	7	and	and	CCONJ
ejpam-5691	471	8	interpretation	interpretation	NOUN
ejpam-5691	471	9	.	.	PUNCT
ejpam-5691	472	1	bffs	bff	NOUN
ejpam-5691	472	2	excel	excel	VERB
ejpam-5691	472	3	in	in	ADP
ejpam-5691	472	4	environments	environment	NOUN
ejpam-5691	472	5	characterized	characterize	VERB
ejpam-5691	472	6	by	by	ADP
ejpam-5691	472	7	contradictory	contradictory	ADJ
ejpam-5691	472	8	or	or	CCONJ
ejpam-5691	472	9	conflicting	conflicting	ADJ
ejpam-5691	472	10	information	information	NOUN
ejpam-5691	472	11	,	,	PUNCT
ejpam-5691	472	12	making	make	VERB
ejpam-5691	472	13	them	they	PRON
ejpam-5691	472	14	valuable	valuable	ADJ
ejpam-5691	472	15	in	in	ADP
ejpam-5691	472	16	artificial	artificial	ADJ
ejpam-5691	472	17	intelligence	intelligence	NOUN
ejpam-5691	472	18	,	,	PUNCT
ejpam-5691	472	19	decision	decision	NOUN
ejpam-5691	472	20	support	support	NOUN
ejpam-5691	472	21	systems	system	NOUN
ejpam-5691	472	22	,	,	PUNCT
ejpam-5691	472	23	and	and	CCONJ
ejpam-5691	472	24	knowledge	knowledge	NOUN
ejpam-5691	472	25	representation	representation	NOUN
ejpam-5691	472	26	.	.	PUNCT
ejpam-5691	473	1	a.	a.	PROPN
ejpam-5691	473	2	fahmi	fahmi	PROPN
ejpam-5691	473	3	et	et	PROPN
ejpam-5691	473	4	al	al	PROPN
ejpam-5691	473	5	.	.	PUNCT
ejpam-5691	473	6	/	/	SYM
ejpam-5691	473	7	eur	eur	PROPN
ejpam-5691	473	8	.	.	PUNCT
ejpam-5691	474	1	j.	j.	PROPN
ejpam-5691	474	2	pure	pure	PROPN
ejpam-5691	474	3	appl	appl	PROPN
ejpam-5691	474	4	.	.	PROPN
ejpam-5691	474	5	math	math	PROPN
ejpam-5691	474	6	,	,	PUNCT
ejpam-5691	474	7	18	18	NUM
ejpam-5691	474	8	(	(	PUNCT
ejpam-5691	474	9	1	1	NUM
ejpam-5691	474	10	)	)	PUNCT
ejpam-5691	474	11	(	(	PUNCT
ejpam-5691	474	12	2025	2025	NUM
ejpam-5691	474	13	)	)	PUNCT
ejpam-5691	474	14	,	,	PUNCT
ejpam-5691	474	15	5691	5691	NUM
ejpam-5691	474	16	27	27	NUM
ejpam-5691	474	17	of	of	ADP
ejpam-5691	474	18	32	32	NUM
ejpam-5691	474	19	built	build	VERB
ejpam-5691	474	20	on	on	ADP
ejpam-5691	474	21	solid	solid	ADJ
ejpam-5691	474	22	mathematical	mathematical	ADJ
ejpam-5691	474	23	foundations	foundation	NOUN
ejpam-5691	474	24	,	,	PUNCT
ejpam-5691	474	25	bffs	bff	NOUN
ejpam-5691	474	26	provide	provide	VERB
ejpam-5691	474	27	a	a	DET
ejpam-5691	474	28	rigorous	rigorous	ADJ
ejpam-5691	474	29	framework	framework	NOUN
ejpam-5691	474	30	for	for	ADP
ejpam-5691	474	31	analysis	analysis	NOUN
ejpam-5691	474	32	and	and	CCONJ
ejpam-5691	474	33	the	the	DET
ejpam-5691	474	34	development	development	NOUN
ejpam-5691	474	35	of	of	ADP
ejpam-5691	474	36	algorithms	algorithm	NOUN
ejpam-5691	474	37	,	,	PUNCT
ejpam-5691	474	38	ensuring	ensure	VERB
ejpam-5691	474	39	reliability	reliability	NOUN
ejpam-5691	474	40	in	in	ADP
ejpam-5691	474	41	computations	computation	NOUN
ejpam-5691	474	42	and	and	CCONJ
ejpam-5691	474	43	conclusions	conclusion	NOUN
ejpam-5691	474	44	.	.	PUNCT
ejpam-5691	475	1	bffs	bff	NOUN
ejpam-5691	475	2	can	can	AUX
ejpam-5691	475	3	effectively	effectively	ADV
ejpam-5691	475	4	model	model	VERB
ejpam-5691	475	5	dynamic	dynamic	ADJ
ejpam-5691	475	6	systems	system	NOUN
ejpam-5691	475	7	where	where	SCONJ
ejpam-5691	475	8	relationships	relationship	NOUN
ejpam-5691	475	9	between	between	ADP
ejpam-5691	475	10	variables	variable	NOUN
ejpam-5691	475	11	may	may	AUX
ejpam-5691	475	12	change	change	VERB
ejpam-5691	475	13	over	over	ADP
ejpam-5691	475	14	time	time	NOUN
ejpam-5691	475	15	.	.	PUNCT
ejpam-5691	476	1	this	this	DET
ejpam-5691	476	2	adaptability	adaptability	NOUN
ejpam-5691	476	3	is	be	AUX
ejpam-5691	476	4	crucial	crucial	ADJ
ejpam-5691	476	5	for	for	ADP
ejpam-5691	476	6	applications	application	NOUN
ejpam-5691	476	7	in	in	ADP
ejpam-5691	476	8	fields	field	NOUN
ejpam-5691	476	9	like	like	ADP
ejpam-5691	476	10	economics	economic	NOUN
ejpam-5691	476	11	,	,	PUNCT
ejpam-5691	476	12	environmental	environmental	ADJ
ejpam-5691	476	13	science	science	NOUN
ejpam-5691	476	14	,	,	PUNCT
ejpam-5691	476	15	and	and	CCONJ
ejpam-5691	476	16	engineering	engineering	NOUN
ejpam-5691	476	17	.	.	PUNCT
ejpam-5691	477	1	the	the	DET
ejpam-5691	477	2	versatility	versatility	NOUN
ejpam-5691	477	3	of	of	ADP
ejpam-5691	477	4	bffs	bff	NOUN
ejpam-5691	477	5	allows	allow	VERB
ejpam-5691	477	6	for	for	ADP
ejpam-5691	477	7	their	their	PRON
ejpam-5691	477	8	application	application	NOUN
ejpam-5691	477	9	across	across	ADP
ejpam-5691	477	10	various	various	ADJ
ejpam-5691	477	11	disciplines	discipline	NOUN
ejpam-5691	477	12	,	,	PUNCT
ejpam-5691	477	13	including	include	VERB
ejpam-5691	477	14	social	social	ADJ
ejpam-5691	477	15	sciences	science	NOUN
ejpam-5691	477	16	,	,	PUNCT
ejpam-5691	477	17	economics	economic	NOUN
ejpam-5691	477	18	,	,	PUNCT
ejpam-5691	477	19	engineering	engineering	NOUN
ejpam-5691	477	20	,	,	PUNCT
ejpam-5691	477	21	and	and	CCONJ
ejpam-5691	477	22	medical	medical	ADJ
ejpam-5691	477	23	diagnostics	diagnostic	NOUN
ejpam-5691	477	24	.	.	PUNCT
ejpam-5691	478	1	this	this	DET
ejpam-5691	478	2	broad	broad	ADJ
ejpam-5691	478	3	applicability	applicability	NOUN
ejpam-5691	478	4	highlights	highlight	NOUN
ejpam-5691	478	5	their	their	PRON
ejpam-5691	478	6	potential	potential	NOUN
ejpam-5691	478	7	to	to	PART
ejpam-5691	478	8	address	address	VERB
ejpam-5691	478	9	diverse	diverse	ADJ
ejpam-5691	478	10	challenges	challenge	NOUN
ejpam-5691	478	11	.	.	PUNCT
ejpam-5691	479	1	6.5	6.5	NUM
ejpam-5691	479	2	.	.	PUNCT
ejpam-5691	479	3	results	result	NOUN
ejpam-5691	479	4	and	and	CCONJ
ejpam-5691	479	5	discussion	discussion	NOUN
ejpam-5691	479	6	this	this	DET
ejpam-5691	479	7	subsection	subsection	NOUN
ejpam-5691	479	8	presents	present	VERB
ejpam-5691	479	9	a	a	DET
ejpam-5691	479	10	comprehensive	comprehensive	ADJ
ejpam-5691	479	11	analysis	analysis	NOUN
ejpam-5691	479	12	of	of	ADP
ejpam-5691	479	13	the	the	DET
ejpam-5691	479	14	results	result	NOUN
ejpam-5691	479	15	derived	derive	VERB
ejpam-5691	479	16	from	from	ADP
ejpam-5691	479	17	applying	apply	VERB
ejpam-5691	479	18	the	the	DET
ejpam-5691	479	19	proposed	propose	VERB
ejpam-5691	479	20	aggregation	aggregation	NOUN
ejpam-5691	479	21	operators	operator	NOUN
ejpam-5691	479	22	based	base	VERB
ejpam-5691	479	23	on	on	ADP
ejpam-5691	479	24	hamacher	hamacher	NOUN
ejpam-5691	479	25	operational	operational	ADJ
ejpam-5691	479	26	laws	law	NOUN
ejpam-5691	479	27	for	for	ADP
ejpam-5691	479	28	bipolar	bipolar	ADJ
ejpam-5691	479	29	fermatean	fermatean	ADJ
ejpam-5691	479	30	fuzzy	fuzzy	ADJ
ejpam-5691	479	31	sets	set	NOUN
ejpam-5691	479	32	.	.	PUNCT
ejpam-5691	480	1	the	the	DET
ejpam-5691	480	2	results	result	NOUN
ejpam-5691	480	3	are	be	AUX
ejpam-5691	480	4	analyzed	analyze	VERB
ejpam-5691	480	5	in	in	ADP
ejpam-5691	480	6	terms	term	NOUN
ejpam-5691	480	7	of	of	ADP
ejpam-5691	480	8	the	the	DET
ejpam-5691	480	9	score	score	NOUN
ejpam-5691	480	10	functions	function	NOUN
ejpam-5691	480	11	calculated	calculate	VERB
ejpam-5691	480	12	for	for	ADP
ejpam-5691	480	13	each	each	DET
ejpam-5691	480	14	alternative	alternative	NOUN
ejpam-5691	480	15	and	and	CCONJ
ejpam-5691	480	16	the	the	DET
ejpam-5691	480	17	corresponding	corresponding	ADJ
ejpam-5691	480	18	rankings	ranking	NOUN
ejpam-5691	480	19	,	,	PUNCT
ejpam-5691	480	20	followed	follow	VERB
ejpam-5691	480	21	by	by	ADP
ejpam-5691	480	22	a	a	DET
ejpam-5691	480	23	discussion	discussion	NOUN
ejpam-5691	480	24	on	on	ADP
ejpam-5691	480	25	the	the	DET
ejpam-5691	480	26	theoretical	theoretical	ADJ
ejpam-5691	480	27	implications	implication	NOUN
ejpam-5691	480	28	of	of	ADP
ejpam-5691	480	29	the	the	DET
ejpam-5691	480	30	findings	finding	NOUN
ejpam-5691	480	31	.	.	PUNCT
ejpam-5691	481	1	the	the	DET
ejpam-5691	481	2	results	result	NOUN
ejpam-5691	481	3	and	and	CCONJ
ejpam-5691	481	4	disscussion	disscussion	NOUN
ejpam-5691	481	5	below	below	ADV
ejpam-5691	481	6	in	in	ADP
ejpam-5691	481	7	table	table	NOUN
ejpam-5691	481	8	8	8	NUM
ejpam-5691	481	9	.	.	PUNCT
ejpam-5691	481	10	results	result	NOUN
ejpam-5691	481	11	and	and	CCONJ
ejpam-5691	481	12	disscussion	disscussion	NOUN
ejpam-5691	481	13	below	below	ADP
ejpam-5691	481	14	table	table	NOUN
ejpam-5691	481	15	8	8	NUM
ejpam-5691	481	16	.	.	PUNCT
ejpam-5691	482	1	methods	method	NOUN
ejpam-5691	482	2	score	score	VERB
ejpam-5691	482	3	function	function	NOUN
ejpam-5691	482	4	ranking	rank	VERB
ejpam-5691	482	5	final	final	ADJ
ejpam-5691	482	6	ranking	ranking	ADJ
ejpam-5691	482	7	ffs	ffs	NOUN
ejpam-5691	483	1	[	[	X
ejpam-5691	483	2	8	8	NUM
ejpam-5691	483	3	]	]	SYM
ejpam-5691	483	4			X
ejpam-5691	483	5	ψ1	ψ1	NOUN
ejpam-5691	483	6	=	=	SYM
ejpam-5691	483	7	0.1823	0.1823	NUM
ejpam-5691	483	8	,	,	PUNCT
ejpam-5691	483	9	ψ2	ψ2	NOUN
ejpam-5691	483	10	=	=	SYM
ejpam-5691	483	11	0.7645	0.7645	NUM
ejpam-5691	483	12	,	,	PUNCT
ejpam-5691	483	13	ψ3	ψ3	NOUN
ejpam-5691	483	14	=	=	SYM
ejpam-5691	483	15	0.6649	0.6649	NUM
ejpam-5691	483	16	,	,	PUNCT
ejpam-5691	483	17	ψ4	ψ4	NOUN
ejpam-5691	483	18	=	=	PROPN
ejpam-5691	483	19	0.7123	0.7123	NUM
ejpam-5691	483	20			PROPN
ejpam-5691	483	21			NUM
ejpam-5691	483	22	ψ2	ψ2	NOUN
ejpam-5691	483	23	>	>	X
ejpam-5691	483	24	ψ4	ψ4	PROPN
ejpam-5691	483	25	>	>	X
ejpam-5691	483	26	ψ3	ψ3	PROPN
ejpam-5691	483	27	>	>	X
ejpam-5691	483	28	ψ1	ψ1	ADJ
ejpam-5691	483	29			PROPN
ejpam-5691	483	30			NUM
ejpam-5691	483	31	ψ2	ψ2	NOUN
ejpam-5691	483	32	>	>	X
ejpam-5691	483	33	ψ4	ψ4	PROPN
ejpam-5691	483	34	>	>	X
ejpam-5691	483	35	ψ3	ψ3	PROPN
ejpam-5691	483	36	>	>	X
ejpam-5691	483	37	ψ1	ψ1	ADJ
ejpam-5691	483	38			PROPN
ejpam-5691	483	39	ffya	ffya	NOUN
ejpam-5691	484	1	[	[	X
ejpam-5691	484	2	19	19	NUM
ejpam-5691	484	3	]	]	SYM
ejpam-5691	484	4			X
ejpam-5691	484	5	ψ1	ψ1	NOUN
ejpam-5691	484	6	=	=	SYM
ejpam-5691	484	7	0.1756	0.1756	NUM
ejpam-5691	484	8	,	,	PUNCT
ejpam-5691	484	9	ψ2	ψ2	NOUN
ejpam-5691	484	10	=	=	SYM
ejpam-5691	484	11	0.7312	0.7312	NUM
ejpam-5691	484	12	,	,	PUNCT
ejpam-5691	484	13	ψ3	ψ3	NOUN
ejpam-5691	484	14	=	=	SYM
ejpam-5691	484	15	0.5511	0.5511	NUM
ejpam-5691	484	16	,	,	PUNCT
ejpam-5691	484	17	ψ4	ψ4	NOUN
ejpam-5691	484	18	=	=	PROPN
ejpam-5691	485	1	0.6087	0.6087	NUM
ejpam-5691	485	2			PROPN
ejpam-5691	485	3			NUM
ejpam-5691	485	4	ψ2	ψ2	NOUN
ejpam-5691	485	5	>	>	X
ejpam-5691	485	6	ψ4	ψ4	PROPN
ejpam-5691	485	7	>	>	X
ejpam-5691	485	8	ψ3	ψ3	PROPN
ejpam-5691	485	9	>	>	X
ejpam-5691	485	10	ψ1	ψ1	ADJ
ejpam-5691	485	11			PROPN
ejpam-5691	485	12			NUM
ejpam-5691	485	13	ψ2	ψ2	NOUN
ejpam-5691	485	14	>	>	X
ejpam-5691	485	15	ψ4	ψ4	PROPN
ejpam-5691	485	16	>	>	X
ejpam-5691	485	17	ψ3	ψ3	PROPN
ejpam-5691	485	18	>	>	X
ejpam-5691	485	19	ψ1	ψ1	ADJ
ejpam-5691	485	20			PROPN
ejpam-5691	485	21	pfih	pfih	NOUN
ejpam-5691	485	22	[	[	X
ejpam-5691	485	23	36	36	NUM
ejpam-5691	485	24	]	]	SYM
ejpam-5691	485	25			X
ejpam-5691	485	26	ψ1	ψ1	NOUN
ejpam-5691	485	27	=	=	SYM
ejpam-5691	485	28	0.0019	0.0019	NUM
ejpam-5691	485	29	,	,	PUNCT
ejpam-5691	485	30	ψ2	ψ2	NOUN
ejpam-5691	485	31	=	=	SYM
ejpam-5691	485	32	0.1949	0.1949	NUM
ejpam-5691	485	33	,	,	PUNCT
ejpam-5691	485	34	ψ3	ψ3	NOUN
ejpam-5691	485	35	=	=	SYM
ejpam-5691	485	36	0.0156	0.0156	NUM
ejpam-5691	485	37	,	,	PUNCT
ejpam-5691	485	38	ψ4	ψ4	NOUN
ejpam-5691	485	39	=	=	PUNCT
ejpam-5691	486	1	0.0938	0.0938	NUM
ejpam-5691	486	2			PROPN
ejpam-5691	486	3			NUM
ejpam-5691	486	4	ψ2	ψ2	NOUN
ejpam-5691	486	5	>	>	X
ejpam-5691	486	6	ψ4	ψ4	PROPN
ejpam-5691	486	7	>	>	X
ejpam-5691	486	8	ψ3	ψ3	PROPN
ejpam-5691	486	9	>	>	X
ejpam-5691	486	10	ψ1	ψ1	ADJ
ejpam-5691	486	11			PROPN
ejpam-5691	486	12			NUM
ejpam-5691	486	13	ψ2	ψ2	NOUN
ejpam-5691	486	14	>	>	X
ejpam-5691	486	15	ψ4	ψ4	PROPN
ejpam-5691	486	16	>	>	X
ejpam-5691	486	17	ψ3	ψ3	PROPN
ejpam-5691	486	18	>	>	X
ejpam-5691	486	19	ψ1	ψ1	ADJ
ejpam-5691	486	20			PROPN
ejpam-5691	486	21	ife	ife	PROPN
ejpam-5691	486	22	[	[	X
ejpam-5691	486	23	51	51	NUM
ejpam-5691	486	24	]	]	PUNCT
ejpam-5691	486	25			X
ejpam-5691	486	26	ψ1	ψ1	NOUN
ejpam-5691	486	27	=	=	SYM
ejpam-5691	486	28	0.0212	0.0212	NUM
ejpam-5691	486	29	,	,	PUNCT
ejpam-5691	486	30	ψ2	ψ2	NOUN
ejpam-5691	486	31	=	=	SYM
ejpam-5691	486	32	0.2876	0.2876	NUM
ejpam-5691	486	33	,	,	PUNCT
ejpam-5691	486	34	ψ3	ψ3	NOUN
ejpam-5691	486	35	=	=	NOUN
ejpam-5691	486	36	0.1093	0.1093	NUM
ejpam-5691	486	37	,	,	PUNCT
ejpam-5691	486	38	ψ4	ψ4	NOUN
ejpam-5691	486	39	=	=	NOUN
ejpam-5691	486	40	0.2121	0.2121	NUM
ejpam-5691	486	41			PROPN
ejpam-5691	486	42			NUM
ejpam-5691	486	43	ψ2	ψ2	NOUN
ejpam-5691	486	44	>	>	X
ejpam-5691	486	45	ψ4	ψ4	PROPN
ejpam-5691	486	46	>	>	X
ejpam-5691	486	47	ψ3	ψ3	PROPN
ejpam-5691	486	48	>	>	X
ejpam-5691	486	49	ψ1	ψ1	ADJ
ejpam-5691	486	50			PROPN
ejpam-5691	486	51			NUM
ejpam-5691	486	52	ψ2	ψ2	NOUN
ejpam-5691	486	53	>	>	X
ejpam-5691	486	54	ψ4	ψ4	PROPN
ejpam-5691	486	55	>	>	X
ejpam-5691	486	56	ψ3	ψ3	PROPN
ejpam-5691	486	57	>	>	X
ejpam-5691	486	58	ψ1	ψ1	PROPN
ejpam-5691	486	59			PROPN
ejpam-5691	486	60	the	the	DET
ejpam-5691	486	61	score	score	NOUN
ejpam-5691	486	62	functions	function	NOUN
ejpam-5691	486	63	for	for	ADP
ejpam-5691	486	64	each	each	DET
ejpam-5691	486	65	method	method	NOUN
ejpam-5691	486	66	are	be	AUX
ejpam-5691	486	67	computed	compute	VERB
ejpam-5691	486	68	,	,	PUNCT
ejpam-5691	486	69	and	and	CCONJ
ejpam-5691	486	70	the	the	DET
ejpam-5691	486	71	rankings	ranking	NOUN
ejpam-5691	486	72	are	be	AUX
ejpam-5691	486	73	established	establish	VERB
ejpam-5691	486	74	by	by	ADP
ejpam-5691	486	75	ordering	order	VERB
ejpam-5691	486	76	the	the	DET
ejpam-5691	486	77	values	value	NOUN
ejpam-5691	486	78	in	in	ADP
ejpam-5691	486	79	descending	descend	VERB
ejpam-5691	486	80	order	order	NOUN
ejpam-5691	486	81	.	.	PUNCT
ejpam-5691	487	1	in	in	ADP
ejpam-5691	487	2	all	all	DET
ejpam-5691	487	3	four	four	NUM
ejpam-5691	487	4	methods	method	NOUN
ejpam-5691	487	5	,	,	PUNCT
ejpam-5691	487	6	ψ2	ψ2	NOUN
ejpam-5691	487	7	consistently	consistently	ADV
ejpam-5691	487	8	ranks	rank	VERB
ejpam-5691	487	9	the	the	DET
ejpam-5691	487	10	highest	high	ADJ
ejpam-5691	487	11	,	,	PUNCT
ejpam-5691	487	12	followed	follow	VERB
ejpam-5691	487	13	by	by	ADP
ejpam-5691	487	14	ψ4,ψ3	ψ4,ψ3	PROPN
ejpam-5691	487	15	,	,	PUNCT
ejpam-5691	487	16	and	and	CCONJ
ejpam-5691	487	17	ψ1	ψ1	NOUN
ejpam-5691	487	18	.	.	PUNCT
ejpam-5691	488	1	this	this	DET
ejpam-5691	488	2	pattern	pattern	NOUN
ejpam-5691	488	3	indicates	indicate	VERB
ejpam-5691	488	4	the	the	DET
ejpam-5691	488	5	reliability	reliability	NOUN
ejpam-5691	488	6	of	of	ADP
ejpam-5691	488	7	ψ2	ψ2	NOUN
ejpam-5691	488	8	as	as	ADP
ejpam-5691	488	9	the	the	DET
ejpam-5691	488	10	most	most	ADV
ejpam-5691	488	11	favorable	favorable	ADJ
ejpam-5691	488	12	alternative	alternative	NOUN
ejpam-5691	488	13	across	across	ADP
ejpam-5691	488	14	the	the	DET
ejpam-5691	488	15	different	different	ADJ
ejpam-5691	488	16	approaches	approach	NOUN
ejpam-5691	488	17	.	.	PUNCT
ejpam-5691	489	1	this	this	DET
ejpam-5691	489	2	analysis	analysis	NOUN
ejpam-5691	489	3	shows	show	VERB
ejpam-5691	489	4	that	that	SCONJ
ejpam-5691	489	5	the	the	DET
ejpam-5691	489	6	suggested	suggested	ADJ
ejpam-5691	489	7	rankings	ranking	NOUN
ejpam-5691	489	8	and	and	CCONJ
ejpam-5691	489	9	score	score	NOUN
ejpam-5691	489	10	functions	function	NOUN
ejpam-5691	489	11	work	work	VERB
ejpam-5691	489	12	well	well	ADV
ejpam-5691	489	13	for	for	ADP
ejpam-5691	489	14	assessing	assess	VERB
ejpam-5691	489	15	and	and	CCONJ
ejpam-5691	489	16	contrasting	contrast	VERB
ejpam-5691	489	17	the	the	DET
ejpam-5691	489	18	performance	performance	NOUN
ejpam-5691	489	19	of	of	ADP
ejpam-5691	489	20	options	option	NOUN
ejpam-5691	489	21	,	,	PUNCT
ejpam-5691	489	22	offering	offer	VERB
ejpam-5691	489	23	a	a	DET
ejpam-5691	489	24	thorough	thorough	ADJ
ejpam-5691	489	25	framework	framework	NOUN
ejpam-5691	489	26	for	for	ADP
ejpam-5691	489	27	making	make	VERB
ejpam-5691	489	28	decisions	decision	NOUN
ejpam-5691	489	29	in	in	ADP
ejpam-5691	489	30	the	the	DET
ejpam-5691	489	31	face	face	NOUN
ejpam-5691	489	32	of	of	ADP
ejpam-5691	489	33	uncertainty	uncertainty	NOUN
ejpam-5691	489	34	.	.	PUNCT
ejpam-5691	490	1	the	the	DET
ejpam-5691	490	2	theoretical	theoretical	ADJ
ejpam-5691	490	3	underpinnings	underpinning	NOUN
ejpam-5691	490	4	of	of	ADP
ejpam-5691	490	5	the	the	DET
ejpam-5691	490	6	methodology	methodology	NOUN
ejpam-5691	490	7	,	,	PUNCT
ejpam-5691	490	8	which	which	PRON
ejpam-5691	490	9	are	be	AUX
ejpam-5691	490	10	based	base	VERB
ejpam-5691	490	11	on	on	ADP
ejpam-5691	490	12	hamacher	hamacher	NOUN
ejpam-5691	490	13	operational	operational	ADJ
ejpam-5691	490	14	principles	principle	NOUN
ejpam-5691	490	15	and	and	CCONJ
ejpam-5691	490	16	fuzzy	fuzzy	ADJ
ejpam-5691	490	17	set	set	NOUN
ejpam-5691	490	18	theory	theory	NOUN
ejpam-5691	490	19	,	,	PUNCT
ejpam-5691	490	20	enable	enable	VERB
ejpam-5691	490	21	it	it	PRON
ejpam-5691	490	22	to	to	PART
ejpam-5691	490	23	integrate	integrate	VERB
ejpam-5691	490	24	various	various	ADJ
ejpam-5691	490	25	a.	a.	NOUN
ejpam-5691	490	26	fahmi	fahmi	PROPN
ejpam-5691	490	27	et	et	PROPN
ejpam-5691	490	28	al	al	PROPN
ejpam-5691	490	29	.	.	PUNCT
ejpam-5691	490	30	/	/	SYM
ejpam-5691	490	31	eur	eur	PROPN
ejpam-5691	490	32	.	.	PUNCT
ejpam-5691	491	1	j.	j.	PROPN
ejpam-5691	491	2	pure	pure	PROPN
ejpam-5691	491	3	appl	appl	PROPN
ejpam-5691	491	4	.	.	PROPN
ejpam-5691	491	5	math	math	PROPN
ejpam-5691	491	6	,	,	PUNCT
ejpam-5691	491	7	18	18	NUM
ejpam-5691	491	8	(	(	PUNCT
ejpam-5691	491	9	1	1	NUM
ejpam-5691	491	10	)	)	PUNCT
ejpam-5691	491	11	(	(	PUNCT
ejpam-5691	491	12	2025	2025	NUM
ejpam-5691	491	13	)	)	PUNCT
ejpam-5691	491	14	,	,	PUNCT
ejpam-5691	491	15	5691	5691	NUM
ejpam-5691	491	16	28	28	NUM
ejpam-5691	491	17	of	of	ADP
ejpam-5691	491	18	32	32	NUM
ejpam-5691	491	19	sources	source	NOUN
ejpam-5691	491	20	of	of	ADP
ejpam-5691	491	21	uncertainty	uncertainty	NOUN
ejpam-5691	491	22	in	in	ADP
ejpam-5691	491	23	order	order	NOUN
ejpam-5691	491	24	to	to	PART
ejpam-5691	491	25	address	address	VERB
ejpam-5691	491	26	complicated	complicated	ADJ
ejpam-5691	491	27	decision	decision	NOUN
ejpam-5691	491	28	issues	issue	NOUN
ejpam-5691	491	29	.	.	PUNCT
ejpam-5691	492	1	this	this	PRON
ejpam-5691	492	2	is	be	AUX
ejpam-5691	492	3	particularly	particularly	ADV
ejpam-5691	492	4	beneficial	beneficial	ADJ
ejpam-5691	492	5	in	in	ADP
ejpam-5691	492	6	contexts	context	NOUN
ejpam-5691	492	7	where	where	SCONJ
ejpam-5691	492	8	alternatives	alternative	NOUN
ejpam-5691	492	9	are	be	AUX
ejpam-5691	492	10	characterized	characterize	VERB
ejpam-5691	492	11	by	by	ADP
ejpam-5691	492	12	inaccurate	inaccurate	ADJ
ejpam-5691	492	13	,	,	PUNCT
ejpam-5691	492	14	partial	partial	ADJ
ejpam-5691	492	15	,	,	PUNCT
ejpam-5691	492	16	or	or	CCONJ
ejpam-5691	492	17	contradictory	contradictory	ADJ
ejpam-5691	492	18	information	information	NOUN
ejpam-5691	492	19	,	,	PUNCT
ejpam-5691	492	20	as	as	SCONJ
ejpam-5691	492	21	typically	typically	ADV
ejpam-5691	492	22	found	find	VERB
ejpam-5691	492	23	in	in	ADP
ejpam-5691	492	24	domains	domain	NOUN
ejpam-5691	492	25	such	such	ADJ
ejpam-5691	492	26	as	as	ADP
ejpam-5691	492	27	waste	waste	NOUN
ejpam-5691	492	28	management	management	NOUN
ejpam-5691	492	29	,	,	PUNCT
ejpam-5691	492	30	resource	resource	NOUN
ejpam-5691	492	31	distribution	distribution	NOUN
ejpam-5691	492	32	,	,	PUNCT
ejpam-5691	492	33	and	and	CCONJ
ejpam-5691	492	34	risk	risk	NOUN
ejpam-5691	492	35	assessment	assessment	NOUN
ejpam-5691	492	36	.	.	PUNCT
ejpam-5691	493	1	moreover	moreover	ADV
ejpam-5691	493	2	,	,	PUNCT
ejpam-5691	493	3	the	the	DET
ejpam-5691	493	4	ranking	rank	VERB
ejpam-5691	493	5	procedure	procedure	NOUN
ejpam-5691	493	6	based	base	VERB
ejpam-5691	493	7	on	on	ADP
ejpam-5691	493	8	aggregated	aggregate	VERB
ejpam-5691	493	9	score	score	NOUN
ejpam-5691	493	10	functions	function	NOUN
ejpam-5691	493	11	streamlines	streamline	VERB
ejpam-5691	493	12	the	the	DET
ejpam-5691	493	13	decision	decision	NOUN
ejpam-5691	493	14	-	-	PUNCT
ejpam-5691	493	15	making	make	VERB
ejpam-5691	493	16	process	process	NOUN
ejpam-5691	493	17	by	by	ADP
ejpam-5691	493	18	offering	offer	VERB
ejpam-5691	493	19	precise	precise	ADJ
ejpam-5691	493	20	,	,	PUNCT
ejpam-5691	493	21	measurable	measurable	ADJ
ejpam-5691	493	22	performance	performance	NOUN
ejpam-5691	493	23	metrics	metric	NOUN
ejpam-5691	493	24	,	,	PUNCT
ejpam-5691	493	25	which	which	PRON
ejpam-5691	493	26	is	be	AUX
ejpam-5691	493	27	especially	especially	ADV
ejpam-5691	493	28	helpful	helpful	ADJ
ejpam-5691	493	29	in	in	ADP
ejpam-5691	493	30	multi	multi	ADJ
ejpam-5691	493	31	-	-	ADJ
ejpam-5691	493	32	criteria	criteria	ADJ
ejpam-5691	493	33	decision	decision	NOUN
ejpam-5691	493	34	analysis	analysis	NOUN
ejpam-5691	493	35	,	,	PUNCT
ejpam-5691	493	36	where	where	SCONJ
ejpam-5691	493	37	decision	decision	NOUN
ejpam-5691	493	38	-	-	PUNCT
ejpam-5691	493	39	makers	maker	NOUN
ejpam-5691	493	40	must	must	AUX
ejpam-5691	493	41	rank	rank	VERB
ejpam-5691	493	42	and	and	CCONJ
ejpam-5691	493	43	assess	assess	VERB
ejpam-5691	493	44	different	different	ADJ
ejpam-5691	493	45	options	option	NOUN
ejpam-5691	493	46	according	accord	VERB
ejpam-5691	493	47	to	to	ADP
ejpam-5691	493	48	multiple	multiple	ADJ
ejpam-5691	493	49	competing	compete	VERB
ejpam-5691	493	50	characteristics	characteristic	NOUN
ejpam-5691	493	51	.	.	PUNCT
ejpam-5691	494	1	7	7	X
ejpam-5691	494	2	.	.	X
ejpam-5691	494	3	conclusion	conclusion	NOUN
ejpam-5691	494	4	this	this	DET
ejpam-5691	494	5	paper	paper	NOUN
ejpam-5691	494	6	introduces	introduce	VERB
ejpam-5691	494	7	advanced	advanced	ADJ
ejpam-5691	494	8	aggregation	aggregation	NOUN
ejpam-5691	494	9	operators	operator	NOUN
ejpam-5691	494	10	based	base	VERB
ejpam-5691	494	11	on	on	ADP
ejpam-5691	494	12	hamacher	hamacher	NOUN
ejpam-5691	494	13	operational	operational	ADJ
ejpam-5691	494	14	laws	law	NOUN
ejpam-5691	494	15	for	for	ADP
ejpam-5691	494	16	bipolar	bipolar	ADJ
ejpam-5691	494	17	fermatean	fermatean	ADJ
ejpam-5691	494	18	fuzzy	fuzzy	ADJ
ejpam-5691	494	19	sets	set	NOUN
ejpam-5691	494	20	,	,	PUNCT
ejpam-5691	494	21	providing	provide	VERB
ejpam-5691	494	22	an	an	DET
ejpam-5691	494	23	innovative	innovative	ADJ
ejpam-5691	494	24	solution	solution	NOUN
ejpam-5691	494	25	for	for	ADP
ejpam-5691	494	26	complex	complex	ADJ
ejpam-5691	494	27	decision	decision	NOUN
ejpam-5691	494	28	-	-	PUNCT
ejpam-5691	494	29	making	make	VERB
ejpam-5691	494	30	problems	problem	NOUN
ejpam-5691	494	31	that	that	PRON
ejpam-5691	494	32	involve	involve	VERB
ejpam-5691	494	33	multiple	multiple	ADJ
ejpam-5691	494	34	uncertainties	uncertainty	NOUN
ejpam-5691	494	35	.	.	PUNCT
ejpam-5691	495	1	a	a	DET
ejpam-5691	495	2	key	key	ADJ
ejpam-5691	495	3	strength	strength	NOUN
ejpam-5691	495	4	of	of	ADP
ejpam-5691	495	5	the	the	DET
ejpam-5691	495	6	proposed	propose	VERB
ejpam-5691	495	7	methodology	methodology	NOUN
ejpam-5691	495	8	is	be	AUX
ejpam-5691	495	9	the	the	DET
ejpam-5691	495	10	incorporation	incorporation	NOUN
ejpam-5691	495	11	of	of	ADP
ejpam-5691	495	12	a	a	DET
ejpam-5691	495	13	score	score	NOUN
ejpam-5691	495	14	function	function	NOUN
ejpam-5691	495	15	,	,	PUNCT
ejpam-5691	495	16	which	which	PRON
ejpam-5691	495	17	allows	allow	VERB
ejpam-5691	495	18	for	for	ADP
ejpam-5691	495	19	the	the	DET
ejpam-5691	495	20	systematic	systematic	ADJ
ejpam-5691	495	21	ranking	ranking	NOUN
ejpam-5691	495	22	of	of	ADP
ejpam-5691	495	23	alternatives	alternative	NOUN
ejpam-5691	495	24	based	base	VERB
ejpam-5691	495	25	on	on	ADP
ejpam-5691	495	26	the	the	DET
ejpam-5691	495	27	aggregated	aggregate	VERB
ejpam-5691	495	28	results	result	NOUN
ejpam-5691	495	29	.	.	PUNCT
ejpam-5691	496	1	this	this	DET
ejpam-5691	496	2	score	score	NOUN
ejpam-5691	496	3	function	function	NOUN
ejpam-5691	496	4	enhances	enhance	VERB
ejpam-5691	496	5	decision	decision	NOUN
ejpam-5691	496	6	-	-	PUNCT
ejpam-5691	496	7	making	making	NOUN
ejpam-5691	496	8	by	by	ADP
ejpam-5691	496	9	offering	offer	VERB
ejpam-5691	496	10	a	a	DET
ejpam-5691	496	11	clear	clear	ADJ
ejpam-5691	496	12	and	and	CCONJ
ejpam-5691	496	13	quantifiable	quantifiable	ADJ
ejpam-5691	496	14	measure	measure	NOUN
ejpam-5691	496	15	of	of	ADP
ejpam-5691	496	16	the	the	DET
ejpam-5691	496	17	performance	performance	NOUN
ejpam-5691	496	18	of	of	ADP
ejpam-5691	496	19	each	each	DET
ejpam-5691	496	20	alternative	alternative	NOUN
ejpam-5691	496	21	,	,	PUNCT
ejpam-5691	496	22	simplifying	simplify	VERB
ejpam-5691	496	23	the	the	DET
ejpam-5691	496	24	selection	selection	NOUN
ejpam-5691	496	25	process	process	NOUN
ejpam-5691	496	26	,	,	PUNCT
ejpam-5691	496	27	and	and	CCONJ
ejpam-5691	496	28	improving	improve	VERB
ejpam-5691	496	29	overall	overall	ADJ
ejpam-5691	496	30	decision	decision	NOUN
ejpam-5691	496	31	accuracy	accuracy	NOUN
ejpam-5691	496	32	.	.	PUNCT
ejpam-5691	497	1	the	the	DET
ejpam-5691	497	2	proposed	propose	VERB
ejpam-5691	497	3	operators	operator	NOUN
ejpam-5691	497	4	bipolar	bipolar	ADJ
ejpam-5691	497	5	fermatean	fermatean	ADJ
ejpam-5691	497	6	fuzzy	fuzzy	ADJ
ejpam-5691	497	7	hamacher	hamacher	NOUN
ejpam-5691	497	8	weighted	weight	VERB
ejpam-5691	497	9	average	average	ADJ
ejpam-5691	497	10	,	,	PUNCT
ejpam-5691	497	11	bipolar	bipolar	ADJ
ejpam-5691	497	12	fermatean	fermatean	NOUN
ejpam-5691	497	13	fuzzy	fuzzy	ADJ
ejpam-5691	497	14	hamacher	hamacher	NOUN
ejpam-5691	497	15	ordered	order	VERB
ejpam-5691	497	16	weighted	weight	VERB
ejpam-5691	497	17	average	average	ADJ
ejpam-5691	497	18	,	,	PUNCT
ejpam-5691	497	19	and	and	CCONJ
ejpam-5691	497	20	bipolar	bipolar	ADJ
ejpam-5691	497	21	fermatean	fermatean	NOUN
ejpam-5691	497	22	fuzzy	fuzzy	ADJ
ejpam-5691	497	23	hamacher	hamacher	NOUN
ejpam-5691	497	24	hybrid	hybrid	NOUN
ejpam-5691	497	25	weighted	weight	VERB
ejpam-5691	497	26	average	average	ADJ
ejpam-5691	497	27	effectively	effectively	ADV
ejpam-5691	497	28	integrate	integrate	VERB
ejpam-5691	497	29	membership	membership	NOUN
ejpam-5691	497	30	,	,	PUNCT
ejpam-5691	497	31	non	non	ADJ
ejpam-5691	497	32	-	-	NOUN
ejpam-5691	497	33	membership	membership	NOUN
ejpam-5691	497	34	,	,	PUNCT
ejpam-5691	497	35	and	and	CCONJ
ejpam-5691	497	36	hesitation	hesitation	NOUN
ejpam-5691	497	37	degrees	degree	NOUN
ejpam-5691	497	38	,	,	PUNCT
ejpam-5691	497	39	making	make	VERB
ejpam-5691	497	40	them	they	PRON
ejpam-5691	497	41	highly	highly	ADV
ejpam-5691	497	42	suitable	suitable	ADJ
ejpam-5691	497	43	for	for	ADP
ejpam-5691	497	44	handling	handle	VERB
ejpam-5691	497	45	real	real	ADJ
ejpam-5691	497	46	-	-	PUNCT
ejpam-5691	497	47	world	world	NOUN
ejpam-5691	497	48	decision	decision	NOUN
ejpam-5691	497	49	challenges	challenge	NOUN
ejpam-5691	497	50	.	.	PUNCT
ejpam-5691	498	1	the	the	DET
ejpam-5691	498	2	practical	practical	ADJ
ejpam-5691	498	3	relevance	relevance	NOUN
ejpam-5691	498	4	of	of	ADP
ejpam-5691	498	5	the	the	DET
ejpam-5691	498	6	methodology	methodology	NOUN
ejpam-5691	498	7	is	be	AUX
ejpam-5691	498	8	demonstrated	demonstrate	VERB
ejpam-5691	498	9	through	through	ADP
ejpam-5691	498	10	a	a	DET
ejpam-5691	498	11	real	real	ADJ
ejpam-5691	498	12	-	-	PUNCT
ejpam-5691	498	13	world	world	NOUN
ejpam-5691	498	14	application	application	NOUN
ejpam-5691	498	15	in	in	ADP
ejpam-5691	498	16	managing	manage	VERB
ejpam-5691	498	17	electronic	electronic	ADJ
ejpam-5691	498	18	waste	waste	NOUN
ejpam-5691	498	19	,	,	PUNCT
ejpam-5691	498	20	where	where	SCONJ
ejpam-5691	498	21	the	the	DET
ejpam-5691	498	22	results	result	NOUN
ejpam-5691	498	23	show	show	VERB
ejpam-5691	498	24	the	the	DET
ejpam-5691	498	25	superiority	superiority	NOUN
ejpam-5691	498	26	of	of	ADP
ejpam-5691	498	27	the	the	DET
ejpam-5691	498	28	proposed	propose	VERB
ejpam-5691	498	29	approach	approach	NOUN
ejpam-5691	498	30	over	over	ADP
ejpam-5691	498	31	existing	exist	VERB
ejpam-5691	498	32	methods	method	NOUN
ejpam-5691	498	33	.	.	PUNCT
ejpam-5691	499	1	the	the	DET
ejpam-5691	499	2	bfhfwa	bfhfwa	NOUN
ejpam-5691	499	3	,	,	PUNCT
ejpam-5691	499	4	bfhfowa	bfhfowa	NOUN
ejpam-5691	499	5	,	,	PUNCT
ejpam-5691	499	6	and	and	CCONJ
ejpam-5691	499	7	bfhfhwa	bfhfhwa	NOUN
ejpam-5691	499	8	operators	operator	NOUN
ejpam-5691	499	9	outperform	outperform	VERB
ejpam-5691	499	10	traditional	traditional	ADJ
ejpam-5691	499	11	aggregation	aggregation	NOUN
ejpam-5691	499	12	techniques	technique	NOUN
ejpam-5691	499	13	in	in	ADP
ejpam-5691	499	14	terms	term	NOUN
ejpam-5691	499	15	of	of	ADP
ejpam-5691	499	16	flexibility	flexibility	NOUN
ejpam-5691	499	17	,	,	PUNCT
ejpam-5691	499	18	efficiency	efficiency	NOUN
ejpam-5691	499	19	,	,	PUNCT
ejpam-5691	499	20	and	and	CCONJ
ejpam-5691	499	21	accuracy	accuracy	NOUN
ejpam-5691	499	22	,	,	PUNCT
ejpam-5691	499	23	making	make	VERB
ejpam-5691	499	24	them	they	PRON
ejpam-5691	499	25	highly	highly	ADV
ejpam-5691	499	26	effective	effective	ADJ
ejpam-5691	499	27	for	for	ADP
ejpam-5691	499	28	handling	handle	VERB
ejpam-5691	499	29	uncertainty	uncertainty	NOUN
ejpam-5691	499	30	and	and	CCONJ
ejpam-5691	499	31	improving	improve	VERB
ejpam-5691	499	32	decisionmaking	decisionmake	VERB
ejpam-5691	499	33	precision	precision	NOUN
ejpam-5691	499	34	in	in	ADP
ejpam-5691	499	35	complex	complex	ADJ
ejpam-5691	499	36	environments	environment	NOUN
ejpam-5691	499	37	.	.	PUNCT
ejpam-5691	500	1	in	in	ADP
ejpam-5691	500	2	comparison	comparison	NOUN
ejpam-5691	500	3	with	with	ADP
ejpam-5691	500	4	the	the	DET
ejpam-5691	500	5	most	most	ADV
ejpam-5691	500	6	recent	recent	ADJ
ejpam-5691	500	7	studies	study	NOUN
ejpam-5691	500	8	,	,	PUNCT
ejpam-5691	500	9	such	such	ADJ
ejpam-5691	500	10	as	as	ADP
ejpam-5691	500	11	those	those	PRON
ejpam-5691	500	12	by	by	ADP
ejpam-5691	500	13	akram	akram	PROPN
ejpam-5691	500	14	et	et	PROPN
ejpam-5691	500	15	al	al	PROPN
ejpam-5691	500	16	.	.	PUNCT
ejpam-5691	501	1	[	[	X
ejpam-5691	501	2	5	5	NUM
ejpam-5691	501	3	]	]	PUNCT
ejpam-5691	501	4	and	and	CCONJ
ejpam-5691	501	5	deng	deng	PROPN
ejpam-5691	501	6	et	et	PROPN
ejpam-5691	501	7	al	al	PROPN
ejpam-5691	501	8	.	.	PUNCT
ejpam-5691	502	1	[	[	X
ejpam-5691	502	2	10	10	NUM
ejpam-5691	502	3	]	]	PUNCT
ejpam-5691	502	4	,	,	PUNCT
ejpam-5691	502	5	our	our	PRON
ejpam-5691	502	6	approach	approach	NOUN
ejpam-5691	502	7	advances	advance	VERB
ejpam-5691	502	8	the	the	DET
ejpam-5691	502	9	state	state	NOUN
ejpam-5691	502	10	-	-	PUNCT
ejpam-5691	502	11	of	of	ADP
ejpam-5691	502	12	-	-	PUNCT
ejpam-5691	502	13	the	the	DET
ejpam-5691	502	14	-	-	PUNCT
ejpam-5691	502	15	art	art	NOUN
ejpam-5691	502	16	by	by	ADP
ejpam-5691	502	17	providing	provide	VERB
ejpam-5691	502	18	a	a	DET
ejpam-5691	502	19	more	more	ADV
ejpam-5691	502	20	generalized	generalized	ADJ
ejpam-5691	502	21	,	,	PUNCT
ejpam-5691	502	22	flexible	flexible	ADJ
ejpam-5691	502	23	,	,	PUNCT
ejpam-5691	502	24	and	and	CCONJ
ejpam-5691	502	25	comprehensive	comprehensive	ADJ
ejpam-5691	502	26	aggregation	aggregation	NOUN
ejpam-5691	502	27	method	method	NOUN
ejpam-5691	502	28	that	that	PRON
ejpam-5691	502	29	handles	handle	VERB
ejpam-5691	502	30	the	the	DET
ejpam-5691	502	31	dual	dual	ADJ
ejpam-5691	502	32	uncertainty	uncertainty	NOUN
ejpam-5691	502	33	of	of	ADP
ejpam-5691	502	34	membership	membership	NOUN
ejpam-5691	502	35	and	and	CCONJ
ejpam-5691	502	36	non	non	ADJ
ejpam-5691	502	37	-	-	NOUN
ejpam-5691	502	38	membership	membership	NOUN
ejpam-5691	502	39	,	,	PUNCT
ejpam-5691	502	40	offering	offer	VERB
ejpam-5691	502	41	substantial	substantial	ADJ
ejpam-5691	502	42	improvements	improvement	NOUN
ejpam-5691	502	43	in	in	ADP
ejpam-5691	502	44	decision	decision	NOUN
ejpam-5691	502	45	-	-	PUNCT
ejpam-5691	502	46	making	make	VERB
ejpam-5691	502	47	performance	performance	NOUN
ejpam-5691	502	48	.	.	PUNCT
ejpam-5691	503	1	overall	overall	ADV
ejpam-5691	503	2	,	,	PUNCT
ejpam-5691	503	3	this	this	DET
ejpam-5691	503	4	research	research	NOUN
ejpam-5691	503	5	contributes	contribute	VERB
ejpam-5691	503	6	to	to	ADP
ejpam-5691	503	7	the	the	DET
ejpam-5691	503	8	field	field	NOUN
ejpam-5691	503	9	of	of	ADP
ejpam-5691	503	10	fuzzy	fuzzy	ADJ
ejpam-5691	503	11	decision	decision	NOUN
ejpam-5691	503	12	-	-	PUNCT
ejpam-5691	503	13	making	making	NOUN
ejpam-5691	503	14	by	by	ADP
ejpam-5691	503	15	offering	offer	VERB
ejpam-5691	503	16	a	a	DET
ejpam-5691	503	17	robust	robust	ADJ
ejpam-5691	503	18	,	,	PUNCT
ejpam-5691	503	19	adaptable	adaptable	ADJ
ejpam-5691	503	20	,	,	PUNCT
ejpam-5691	503	21	and	and	CCONJ
ejpam-5691	503	22	efficient	efficient	ADJ
ejpam-5691	503	23	framework	framework	NOUN
ejpam-5691	503	24	for	for	ADP
ejpam-5691	503	25	multi	multi	ADJ
ejpam-5691	503	26	-	-	ADJ
ejpam-5691	503	27	criteria	criteria	ADJ
ejpam-5691	503	28	decision	decision	NOUN
ejpam-5691	503	29	analysis	analysis	NOUN
ejpam-5691	503	30	.	.	PUNCT
ejpam-5691	504	1	future	future	ADJ
ejpam-5691	504	2	work	work	NOUN
ejpam-5691	504	3	could	could	AUX
ejpam-5691	504	4	expand	expand	VERB
ejpam-5691	504	5	on	on	ADP
ejpam-5691	504	6	these	these	DET
ejpam-5691	504	7	operators	operator	NOUN
ejpam-5691	504	8	,	,	PUNCT
ejpam-5691	504	9	exploring	explore	VERB
ejpam-5691	504	10	their	their	PRON
ejpam-5691	504	11	application	application	NOUN
ejpam-5691	504	12	in	in	ADP
ejpam-5691	504	13	other	other	ADJ
ejpam-5691	504	14	domains	domain	NOUN
ejpam-5691	504	15	and	and	CCONJ
ejpam-5691	504	16	refining	refine	VERB
ejpam-5691	504	17	their	their	PRON
ejpam-5691	504	18	ability	ability	NOUN
ejpam-5691	504	19	to	to	PART
ejpam-5691	504	20	address	address	VERB
ejpam-5691	504	21	emerging	emerge	VERB
ejpam-5691	504	22	challenges	challenge	NOUN
ejpam-5691	504	23	in	in	ADP
ejpam-5691	504	24	uncertain	uncertain	ADJ
ejpam-5691	504	25	and	and	CCONJ
ejpam-5691	504	26	dynamic	dynamic	ADJ
ejpam-5691	504	27	decision	decision	NOUN
ejpam-5691	504	28	-	-	PUNCT
ejpam-5691	504	29	making	make	VERB
ejpam-5691	504	30	environments	environment	NOUN
ejpam-5691	504	31	.	.	PUNCT
ejpam-5691	505	1	compliance	compliance	NOUN
ejpam-5691	505	2	with	with	ADP
ejpam-5691	505	3	ethical	ethical	ADJ
ejpam-5691	505	4	standards	standard	NOUN
ejpam-5691	505	5	the	the	DET
ejpam-5691	505	6	authors	author	NOUN
ejpam-5691	505	7	declare	declare	VERB
ejpam-5691	505	8	that	that	SCONJ
ejpam-5691	505	9	there	there	PRON
ejpam-5691	505	10	is	be	VERB
ejpam-5691	505	11	no	no	DET
ejpam-5691	505	12	conflict	conflict	NOUN
ejpam-5691	505	13	of	of	ADP
ejpam-5691	505	14	interest	interest	NOUN
ejpam-5691	505	15	regarding	regard	VERB
ejpam-5691	505	16	the	the	DET
ejpam-5691	505	17	publication	publication	NOUN
ejpam-5691	505	18	of	of	ADP
ejpam-5691	505	19	this	this	DET
ejpam-5691	505	20	paper	paper	NOUN
ejpam-5691	505	21	.	.	PUNCT
ejpam-5691	506	1	ethical	ethical	ADJ
ejpam-5691	506	2	approval	approval	NOUN
ejpam-5691	506	3	:	:	PUNCT
ejpam-5691	506	4	this	this	DET
ejpam-5691	506	5	article	article	NOUN
ejpam-5691	506	6	does	do	AUX
ejpam-5691	506	7	not	not	PART
ejpam-5691	506	8	contain	contain	VERB
ejpam-5691	506	9	any	any	DET
ejpam-5691	506	10	studies	study	NOUN
ejpam-5691	506	11	with	with	ADP
ejpam-5691	506	12	human	human	ADJ
ejpam-5691	506	13	participants	participant	NOUN
ejpam-5691	506	14	or	or	CCONJ
ejpam-5691	506	15	animals	animal	NOUN
ejpam-5691	506	16	performed	perform	VERB
ejpam-5691	506	17	by	by	ADP
ejpam-5691	506	18	any	any	PRON
ejpam-5691	506	19	of	of	ADP
ejpam-5691	506	20	the	the	DET
ejpam-5691	506	21	authors	author	NOUN
ejpam-5691	506	22	.	.	PUNCT
ejpam-5691	507	1	a.	a.	PROPN
ejpam-5691	507	2	fahmi	fahmi	PROPN
ejpam-5691	507	3	et	et	PROPN
ejpam-5691	507	4	al	al	PROPN
ejpam-5691	507	5	.	.	PUNCT
ejpam-5691	507	6	/	/	SYM
ejpam-5691	507	7	eur	eur	PROPN
ejpam-5691	507	8	.	.	PUNCT
ejpam-5691	508	1	j.	j.	PROPN
ejpam-5691	508	2	pure	pure	PROPN
ejpam-5691	508	3	appl	appl	PROPN
ejpam-5691	508	4	.	.	PROPN
ejpam-5691	508	5	math	math	PROPN
ejpam-5691	508	6	,	,	PUNCT
ejpam-5691	508	7	18	18	NUM
ejpam-5691	508	8	(	(	PUNCT
ejpam-5691	508	9	1	1	NUM
ejpam-5691	508	10	)	)	PUNCT
ejpam-5691	508	11	(	(	PUNCT
ejpam-5691	508	12	2025	2025	NUM
ejpam-5691	508	13	)	)	PUNCT
ejpam-5691	508	14	,	,	PUNCT
ejpam-5691	508	15	5691	5691	NUM
ejpam-5691	508	16	29	29	NUM
ejpam-5691	508	17	of	of	ADP
ejpam-5691	508	18	32	32	NUM
ejpam-5691	508	19	acknowledgements	acknowledgement	NOUN
ejpam-5691	508	20	dka	dka	PROPN
ejpam-5691	508	21	extends	extend	VERB
ejpam-5691	508	22	appreciation	appreciation	NOUN
ejpam-5691	508	23	to	to	ADP
ejpam-5691	508	24	the	the	DET
ejpam-5691	508	25	deanship	deanship	NOUN
ejpam-5691	508	26	of	of	ADP
ejpam-5691	508	27	postgraduate	postgraduate	NOUN
ejpam-5691	508	28	studies	study	NOUN
ejpam-5691	508	29	and	and	CCONJ
ejpam-5691	508	30	scientific	scientific	ADJ
ejpam-5691	508	31	research	research	NOUN
ejpam-5691	508	32	at	at	ADP
ejpam-5691	508	33	majmaah	majmaah	PROPN
ejpam-5691	508	34	university	university	PROPN
ejpam-5691	508	35	for	for	ADP
ejpam-5691	508	36	supporting	support	VERB
ejpam-5691	508	37	this	this	DET
ejpam-5691	508	38	research	research	NOUN
ejpam-5691	508	39	work	work	NOUN
ejpam-5691	508	40	.	.	PUNCT
ejpam-5691	509	1	a.k	a.k	PROPN
ejpam-5691	509	2	and	and	CCONJ
ejpam-5691	509	3	t.a	t.a	PROPN
ejpam-5691	509	4	would	would	AUX
ejpam-5691	509	5	like	like	VERB
ejpam-5691	509	6	to	to	PART
ejpam-5691	509	7	thank	thank	VERB
ejpam-5691	509	8	prince	prince	PROPN
ejpam-5691	509	9	sultan	sultan	PROPN
ejpam-5691	509	10	university	university	PROPN
ejpam-5691	509	11	for	for	ADP
ejpam-5691	509	12	the	the	DET
ejpam-5691	509	13	support	support	NOUN
ejpam-5691	509	14	through	through	ADP
ejpam-5691	509	15	tas	tas	PROPN
ejpam-5691	509	16	research	research	NOUN
ejpam-5691	509	17	lab	lab	NOUN
ejpam-5691	509	18	.	.	PUNCT
ejpam-5691	510	1	references	reference	NOUN
ejpam-5691	510	2	[	[	X
ejpam-5691	510	3	1	1	X
ejpam-5691	510	4	]	]	PUNCT
ejpam-5691	510	5	t.	t.	PROPN
ejpam-5691	510	6	ahmad	ahmad	PROPN
ejpam-5691	510	7	,	,	PUNCT
ejpam-5691	510	8	m.	m.	PROPN
ejpam-5691	510	9	rahim	rahim	PROPN
ejpam-5691	510	10	,	,	PUNCT
ejpam-5691	510	11	j.	j.	PROPN
ejpam-5691	510	12	yang	yang	PROPN
ejpam-5691	510	13	,	,	PUNCT
ejpam-5691	510	14	r.	r.	PROPN
ejpam-5691	510	15	alharbi	alharbi	PROPN
ejpam-5691	510	16	,	,	PUNCT
ejpam-5691	510	17	and	and	CCONJ
ejpam-5691	510	18	h.	h.	PROPN
ejpam-5691	510	19	a.	a.	PROPN
ejpam-5691	510	20	e.	e.	PROPN
ejpam-5691	510	21	w.	w.	PROPN
ejpam-5691	510	22	khalifa	khalifa	PROPN
ejpam-5691	510	23	.	.	PUNCT
ejpam-5691	511	1	development	development	NOUN
ejpam-5691	511	2	of	of	ADP
ejpam-5691	511	3	p	p	X
ejpam-5691	511	4	,	,	PUNCT
ejpam-5691	511	5	q	q	ADJ
ejpam-5691	511	6	-	-	PUNCT
ejpam-5691	511	7	quasirung	quasirung	ADJ
ejpam-5691	511	8	orthopair	orthopair	NOUN
ejpam-5691	511	9	fuzzy	fuzzy	ADJ
ejpam-5691	511	10	hamacher	hamacher	NOUN
ejpam-5691	511	11	aggregation	aggregation	NOUN
ejpam-5691	511	12	operators	operator	NOUN
ejpam-5691	511	13	and	and	CCONJ
ejpam-5691	511	14	its	its	PRON
ejpam-5691	511	15	application	application	NOUN
ejpam-5691	511	16	in	in	ADP
ejpam-5691	511	17	decision	decision	NOUN
ejpam-5691	511	18	-	-	PUNCT
ejpam-5691	511	19	making	make	VERB
ejpam-5691	511	20	problems	problem	NOUN
ejpam-5691	511	21	.	.	PUNCT
ejpam-5691	512	1	heliyon	heliyon	NOUN
ejpam-5691	512	2	,	,	PUNCT
ejpam-5691	512	3	10(3	10(3	NUM
ejpam-5691	512	4	)	)	PUNCT
ejpam-5691	512	5	,	,	PUNCT
ejpam-5691	512	6	2024	2024	NUM
ejpam-5691	512	7	.	.	PUNCT
ejpam-5691	513	1	[	[	X
ejpam-5691	513	2	2	2	NUM
ejpam-5691	513	3	]	]	X
ejpam-5691	513	4	u.	u.	PROPN
ejpam-5691	513	5	ahmad	ahmad	PROPN
ejpam-5691	513	6	and	and	CCONJ
ejpam-5691	513	7	m.	m.	PROPN
ejpam-5691	513	8	sabir	sabir	PROPN
ejpam-5691	513	9	.	.	PUNCT
ejpam-5691	514	1	multicriteria	multicriteria	PROPN
ejpam-5691	514	2	decision	decision	NOUN
ejpam-5691	514	3	-	-	PUNCT
ejpam-5691	514	4	making	making	NOUN
ejpam-5691	514	5	based	base	VERB
ejpam-5691	514	6	on	on	ADP
ejpam-5691	514	7	the	the	DET
ejpam-5691	514	8	degree	degree	NOUN
ejpam-5691	514	9	and	and	CCONJ
ejpam-5691	514	10	distance	distance	NOUN
ejpam-5691	514	11	-	-	PUNCT
ejpam-5691	514	12	based	base	VERB
ejpam-5691	514	13	indices	index	NOUN
ejpam-5691	514	14	of	of	ADP
ejpam-5691	514	15	fuzzy	fuzzy	ADJ
ejpam-5691	514	16	graphs	graph	NOUN
ejpam-5691	514	17	.	.	PUNCT
ejpam-5691	515	1	comput	comput	NOUN
ejpam-5691	515	2	.	.	PUNCT
ejpam-5691	516	1	granul	granul	PROPN
ejpam-5691	516	2	,	,	PUNCT
ejpam-5691	516	3	2022	2022	NUM
ejpam-5691	516	4	.	.	PUNCT
ejpam-5691	517	1	[	[	X
ejpam-5691	517	2	3	3	X
ejpam-5691	517	3	]	]	PUNCT
ejpam-5691	517	4	m.	m.	NOUN
ejpam-5691	517	5	akram	akram	PROPN
ejpam-5691	517	6	and	and	CCONJ
ejpam-5691	517	7	a.	a.	NOUN
ejpam-5691	517	8	bashir	bashir	PROPN
ejpam-5691	517	9	.	.	PUNCT
ejpam-5691	518	1	complex	complex	ADJ
ejpam-5691	518	2	fuzzy	fuzzy	ADJ
ejpam-5691	518	3	ordered	order	VERB
ejpam-5691	518	4	weighted	weight	VERB
ejpam-5691	518	5	quadratic	quadratic	ADJ
ejpam-5691	518	6	averaging	averaging	NOUN
ejpam-5691	518	7	operators	operator	NOUN
ejpam-5691	518	8	.	.	PUNCT
ejpam-5691	519	1	granul	granul	PROPN
ejpam-5691	519	2	.	.	PUNCT
ejpam-5691	520	1	comput	comput	PROPN
ejpam-5691	520	2	.	.	PUNCT
ejpam-5691	520	3	,	,	PUNCT
ejpam-5691	520	4	6(3):523–538	6(3):523–538	NUM
ejpam-5691	520	5	,	,	PUNCT
ejpam-5691	520	6	2021	2021	NUM
ejpam-5691	520	7	.	.	PUNCT
ejpam-5691	521	1	[	[	X
ejpam-5691	521	2	4	4	X
ejpam-5691	521	3	]	]	PUNCT
ejpam-5691	521	4	m.	m.	NOUN
ejpam-5691	521	5	akram	akram	PROPN
ejpam-5691	521	6	and	and	CCONJ
ejpam-5691	521	7	t.	t.	PROPN
ejpam-5691	521	8	ihsan	ihsan	PROPN
ejpam-5691	521	9	.	.	PUNCT
ejpam-5691	522	1	solving	solve	VERB
ejpam-5691	522	2	pythagorean	pythagorean	PROPN
ejpam-5691	522	3	fuzzy	fuzzy	ADJ
ejpam-5691	522	4	partial	partial	ADJ
ejpam-5691	522	5	fractional	fractional	ADJ
ejpam-5691	522	6	diffusion	diffusion	NOUN
ejpam-5691	522	7	model	model	NOUN
ejpam-5691	522	8	using	use	VERB
ejpam-5691	522	9	the	the	DET
ejpam-5691	522	10	laplace	laplace	NOUN
ejpam-5691	522	11	and	and	CCONJ
ejpam-5691	522	12	fourier	fourier	NOUN
ejpam-5691	522	13	transforms	transform	VERB
ejpam-5691	522	14	.	.	PUNCT
ejpam-5691	523	1	granul	granul	PROPN
ejpam-5691	523	2	.	.	PUNCT
ejpam-5691	524	1	comput	comput	PROPN
ejpam-5691	524	2	.	.	PUNCT
ejpam-5691	525	1	,	,	PUNCT
ejpam-5691	525	2	pages	page	NOUN
ejpam-5691	525	3	1–19	1–19	PROPN
ejpam-5691	525	4	,	,	PUNCT
ejpam-5691	525	5	2022	2022	NUM
ejpam-5691	525	6	.	.	PUNCT
ejpam-5691	526	1	[	[	X
ejpam-5691	526	2	5	5	NUM
ejpam-5691	526	3	]	]	PUNCT
ejpam-5691	526	4	m.	m.	NOUN
ejpam-5691	526	5	akram	akram	PROPN
ejpam-5691	526	6	,	,	PUNCT
ejpam-5691	526	7	s.	s.	PROPN
ejpam-5691	526	8	j.	j.	PROPN
ejpam-5691	526	9	wu	wu	PROPN
ejpam-5691	526	10	,	,	PUNCT
ejpam-5691	526	11	and	and	CCONJ
ejpam-5691	526	12	j.	j.	PROPN
ejpam-5691	526	13	c.	c.	PROPN
ejpam-5691	526	14	r.	r.	PROPN
ejpam-5691	526	15	alcantud	alcantud	PROPN
ejpam-5691	526	16	.	.	PUNCT
ejpam-5691	527	1	multi	multi	ADJ
ejpam-5691	527	2	-	-	ADJ
ejpam-5691	527	3	criteria	criterion	NOUN
ejpam-5691	527	4	decision	decision	NOUN
ejpam-5691	527	5	making	make	VERB
ejpam-5691	527	6	methods	method	NOUN
ejpam-5691	527	7	with	with	ADP
ejpam-5691	527	8	bipolar	bipolar	ADJ
ejpam-5691	527	9	fuzzy	fuzzy	ADJ
ejpam-5691	527	10	sets	set	NOUN
ejpam-5691	527	11	.	.	PUNCT
ejpam-5691	527	12	springer	springer	NOUN
ejpam-5691	527	13	,	,	PUNCT
ejpam-5691	527	14	2023	2023	NUM
ejpam-5691	527	15	.	.	PUNCT
ejpam-5691	528	1	[	[	X
ejpam-5691	528	2	6	6	NUM
ejpam-5691	528	3	]	]	PUNCT
ejpam-5691	528	4	j.	j.	PROPN
ejpam-5691	528	5	ali	ali	PROPN
ejpam-5691	528	6	,	,	PUNCT
ejpam-5691	528	7	w.	w.	PROPN
ejpam-5691	528	8	ali	ali	PROPN
ejpam-5691	528	9	,	,	PUNCT
ejpam-5691	528	10	h.	h.	PROPN
ejpam-5691	528	11	alqahtani	alqahtani	PROPN
ejpam-5691	528	12	,	,	PUNCT
ejpam-5691	528	13	and	and	CCONJ
ejpam-5691	528	14	m.	m.	PROPN
ejpam-5691	528	15	i.	i.	PROPN
ejpam-5691	528	16	syam	syam	PROPN
ejpam-5691	528	17	.	.	PUNCT
ejpam-5691	529	1	enhanced	enhance	VERB
ejpam-5691	529	2	edas	edas	PROPN
ejpam-5691	529	3	methodology	methodology	NOUN
ejpam-5691	529	4	for	for	ADP
ejpam-5691	529	5	multiplecriteria	multiplecriteria	NOUN
ejpam-5691	529	6	group	group	NOUN
ejpam-5691	529	7	decision	decision	NOUN
ejpam-5691	529	8	analysis	analysis	NOUN
ejpam-5691	529	9	utilizing	utilize	VERB
ejpam-5691	529	10	linguistic	linguistic	ADJ
ejpam-5691	529	11	q	q	ADJ
ejpam-5691	529	12	-	-	PUNCT
ejpam-5691	529	13	rung	rung	ADJ
ejpam-5691	529	14	orthopair	orthopair	ADJ
ejpam-5691	529	15	fuzzy	fuzzy	ADJ
ejpam-5691	529	16	hamacher	hamacher	NOUN
ejpam-5691	529	17	aggregation	aggregation	NOUN
ejpam-5691	529	18	operators	operator	NOUN
ejpam-5691	529	19	.	.	PUNCT
ejpam-5691	530	1	complex	complex	ADJ
ejpam-5691	530	2	&	&	CCONJ
ejpam-5691	530	3	intelligent	intelligent	ADJ
ejpam-5691	530	4	systems	system	NOUN
ejpam-5691	530	5	,	,	PUNCT
ejpam-5691	530	6	pages	page	NOUN
ejpam-5691	530	7	1–30	1–30	PROPN
ejpam-5691	530	8	,	,	PUNCT
ejpam-5691	530	9	2024	2024	NUM
ejpam-5691	530	10	.	.	PUNCT
ejpam-5691	531	1	[	[	X
ejpam-5691	531	2	7	7	X
ejpam-5691	531	3	]	]	PUNCT
ejpam-5691	531	4	k.	k.	PROPN
ejpam-5691	531	5	t.	t.	PROPN
ejpam-5691	531	6	atanassov	atanassov	PROPN
ejpam-5691	531	7	.	.	PUNCT
ejpam-5691	532	1	intuitionistic	intuitionistic	ADJ
ejpam-5691	532	2	fuzzy	fuzzy	ADJ
ejpam-5691	532	3	sets	set	NOUN
ejpam-5691	532	4	.	.	PUNCT
ejpam-5691	533	1	fuzzy	fuzzy	ADJ
ejpam-5691	533	2	sets	set	NOUN
ejpam-5691	533	3	syst	syst	PROPN
ejpam-5691	533	4	.	.	PUNCT
ejpam-5691	533	5	,	,	PUNCT
ejpam-5691	533	6	20(1):87–96	20(1):87–96	NUM
ejpam-5691	533	7	,	,	PUNCT
ejpam-5691	533	8	1986	1986	NUM
ejpam-5691	533	9	.	.	PUNCT
ejpam-5691	534	1	[	[	X
ejpam-5691	534	2	8	8	NUM
ejpam-5691	534	3	]	]	PUNCT
ejpam-5691	534	4	s.	s.	PROPN
ejpam-5691	534	5	aydin	aydin	PROPN
ejpam-5691	534	6	.	.	PUNCT
ejpam-5691	535	1	a	a	DET
ejpam-5691	535	2	fuzzy	fuzzy	ADJ
ejpam-5691	535	3	mcdm	mcdm	ADJ
ejpam-5691	535	4	method	method	NOUN
ejpam-5691	535	5	based	base	VERB
ejpam-5691	535	6	on	on	ADP
ejpam-5691	535	7	new	new	ADJ
ejpam-5691	535	8	fermatean	fermatean	ADJ
ejpam-5691	535	9	fuzzy	fuzzy	ADJ
ejpam-5691	535	10	theories	theory	NOUN
ejpam-5691	535	11	.	.	PUNCT
ejpam-5691	536	1	int	int	NOUN
ejpam-5691	536	2	.	.	PUNCT
ejpam-5691	537	1	j.	j.	PROPN
ejpam-5691	537	2	inf	inf	PROPN
ejpam-5691	537	3	.	.	PUNCT
ejpam-5691	537	4	technol	technol	PROPN
ejpam-5691	537	5	.	.	PUNCT
ejpam-5691	538	1	decis	decis	PROPN
ejpam-5691	538	2	.	.	PROPN
ejpam-5691	538	3	,	,	PUNCT
ejpam-5691	538	4	20(3):881–902	20(3):881–902	NUM
ejpam-5691	538	5	,	,	PUNCT
ejpam-5691	538	6	2021	2021	NUM
ejpam-5691	538	7	.	.	PUNCT
ejpam-5691	539	1	[	[	X
ejpam-5691	539	2	9	9	NUM
ejpam-5691	539	3	]	]	PUNCT
ejpam-5691	539	4	m.	m.	NOUN
ejpam-5691	539	5	m.	m.	NOUN
ejpam-5691	539	6	belhamiti	belhamiti	PROPN
ejpam-5691	539	7	,	,	PUNCT
ejpam-5691	539	8	z.	z.	PROPN
ejpam-5691	539	9	dahmani	dahmani	PROPN
ejpam-5691	539	10	,	,	PUNCT
ejpam-5691	539	11	j.	j.	PROPN
ejpam-5691	539	12	alzabut	alzabut	PROPN
ejpam-5691	539	13	,	,	PUNCT
ejpam-5691	539	14	d.	d.	PROPN
ejpam-5691	539	15	k.	k.	PROPN
ejpam-5691	539	16	almutairi	almutairi	PROPN
ejpam-5691	539	17	,	,	PUNCT
ejpam-5691	539	18	and	and	CCONJ
ejpam-5691	539	19	h.	h.	PROPN
ejpam-5691	539	20	khan	khan	PROPN
ejpam-5691	539	21	.	.	PUNCT
ejpam-5691	540	1	analyzing	analyze	VERB
ejpam-5691	540	2	chaotic	chaotic	ADJ
ejpam-5691	540	3	systems	system	NOUN
ejpam-5691	540	4	with	with	ADP
ejpam-5691	540	5	multi	multi	ADJ
ejpam-5691	540	6	-	-	ADJ
ejpam-5691	540	7	step	step	ADJ
ejpam-5691	540	8	methods	method	NOUN
ejpam-5691	540	9	:	:	PUNCT
ejpam-5691	540	10	theory	theory	NOUN
ejpam-5691	540	11	and	and	CCONJ
ejpam-5691	540	12	simulations	simulation	NOUN
ejpam-5691	540	13	.	.	PUNCT
ejpam-5691	541	1	alexandria	alexandria	PROPN
ejpam-5691	541	2	engineering	engineering	PROPN
ejpam-5691	541	3	journal	journal	PROPN
ejpam-5691	541	4	,	,	PUNCT
ejpam-5691	541	5	113:516–534	113:516–534	NUM
ejpam-5691	541	6	,	,	PUNCT
ejpam-5691	541	7	2025	2025	NUM
ejpam-5691	541	8	.	.	PUNCT
ejpam-5691	542	1	[	[	X
ejpam-5691	542	2	10	10	NUM
ejpam-5691	542	3	]	]	PUNCT
ejpam-5691	542	4	z.	z.	PROPN
ejpam-5691	542	5	deng	deng	PROPN
ejpam-5691	542	6	and	and	CCONJ
ejpam-5691	542	7	j.	j.	PROPN
ejpam-5691	542	8	wang	wang	PROPN
ejpam-5691	542	9	.	.	PUNCT
ejpam-5691	543	1	new	new	ADJ
ejpam-5691	543	2	distance	distance	NOUN
ejpam-5691	543	3	measure	measure	NOUN
ejpam-5691	543	4	for	for	ADP
ejpam-5691	543	5	fermatean	fermatean	ADJ
ejpam-5691	543	6	fuzzy	fuzzy	ADJ
ejpam-5691	543	7	sets	set	NOUN
ejpam-5691	543	8	and	and	CCONJ
ejpam-5691	543	9	its	its	PRON
ejpam-5691	543	10	application	application	NOUN
ejpam-5691	543	11	.	.	PUNCT
ejpam-5691	544	1	int	int	NOUN
ejpam-5691	544	2	.	.	PUNCT
ejpam-5691	545	1	j.	j.	PROPN
ejpam-5691	545	2	intell	intell	PROPN
ejpam-5691	545	3	.	.	PUNCT
ejpam-5691	546	1	syst	syst	PROPN
ejpam-5691	546	2	.	.	PUNCT
ejpam-5691	546	3	,	,	PUNCT
ejpam-5691	546	4	37(3):1903–1930	37(3):1903–1930	NUM
ejpam-5691	546	5	,	,	PUNCT
ejpam-5691	546	6	2022	2022	NUM
ejpam-5691	546	7	.	.	PUNCT
ejpam-5691	547	1	[	[	X
ejpam-5691	547	2	11	11	NUM
ejpam-5691	547	3	]	]	PUNCT
ejpam-5691	547	4	a.	a.	NOUN
ejpam-5691	547	5	fahmi	fahmi	PROPN
ejpam-5691	547	6	.	.	PUNCT
ejpam-5691	547	7	particle	particle	NOUN
ejpam-5691	547	8	swarm	swarm	NOUN
ejpam-5691	547	9	optimization	optimization	NOUN
ejpam-5691	547	10	selection	selection	NOUN
ejpam-5691	547	11	based	base	VERB
ejpam-5691	547	12	on	on	ADP
ejpam-5691	547	13	the	the	DET
ejpam-5691	547	14	topsis	topsis	NOUN
ejpam-5691	547	15	technique	technique	NOUN
ejpam-5691	547	16	.	.	PUNCT
ejpam-5691	548	1	soft	soft	ADJ
ejpam-5691	548	2	comput	comput	NOUN
ejpam-5691	548	3	.	.	PUNCT
ejpam-5691	548	4	,	,	PUNCT
ejpam-5691	548	5	27(14):9225–9245	27(14):9225–9245	NUM
ejpam-5691	548	6	,	,	PUNCT
ejpam-5691	548	7	2023	2023	NUM
ejpam-5691	548	8	.	.	PUNCT
ejpam-5691	549	1	[	[	X
ejpam-5691	549	2	12	12	NUM
ejpam-5691	549	3	]	]	PUNCT
ejpam-5691	549	4	a.	a.	NOUN
ejpam-5691	549	5	fahmi	fahmi	PROPN
ejpam-5691	549	6	,	,	PUNCT
ejpam-5691	549	7	s.	s.	PROPN
ejpam-5691	549	8	abdullah	abdullah	PROPN
ejpam-5691	549	9	,	,	PUNCT
ejpam-5691	549	10	f.	f.	PROPN
ejpam-5691	549	11	amin	amin	PROPN
ejpam-5691	549	12	,	,	PUNCT
ejpam-5691	549	13	and	and	CCONJ
ejpam-5691	549	14	a.	a.	PROPN
ejpam-5691	549	15	ali	ali	PROPN
ejpam-5691	549	16	.	.	PROPN
ejpam-5691	549	17	weighted	weight	VERB
ejpam-5691	549	18	average	average	ADJ
ejpam-5691	549	19	rating	rating	NOUN
ejpam-5691	549	20	(	(	PUNCT
ejpam-5691	549	21	war	war	NOUN
ejpam-5691	549	22	)	)	PUNCT
ejpam-5691	549	23	method	method	NOUN
ejpam-5691	549	24	for	for	ADP
ejpam-5691	549	25	solving	solve	VERB
ejpam-5691	549	26	group	group	NOUN
ejpam-5691	549	27	decision	decision	NOUN
ejpam-5691	549	28	-	-	PUNCT
ejpam-5691	549	29	making	make	VERB
ejpam-5691	549	30	problems	problem	NOUN
ejpam-5691	549	31	using	use	VERB
ejpam-5691	549	32	a	a	DET
ejpam-5691	549	33	triangular	triangular	ADJ
ejpam-5691	549	34	cubic	cubic	ADJ
ejpam-5691	549	35	fuzzy	fuzzy	ADJ
ejpam-5691	549	36	hybrid	hybrid	NOUN
ejpam-5691	549	37	aggregation	aggregation	NOUN
ejpam-5691	549	38	(	(	PUNCT
ejpam-5691	549	39	tcfha	tcfha	NOUN
ejpam-5691	549	40	)	)	PUNCT
ejpam-5691	549	41	operator	operator	NOUN
ejpam-5691	549	42	.	.	PUNCT
ejpam-5691	550	1	punjab	punjab	PROPN
ejpam-5691	550	2	univ	univ	PROPN
ejpam-5691	550	3	.	.	PUNCT
ejpam-5691	551	1	j.	j.	PROPN
ejpam-5691	551	2	math	math	PROPN
ejpam-5691	551	3	.	.	PROPN
ejpam-5691	551	4	,	,	PUNCT
ejpam-5691	551	5	50(1	50(1	PROPN
ejpam-5691	551	6	)	)	PUNCT
ejpam-5691	551	7	,	,	PUNCT
ejpam-5691	551	8	2020	2020	NUM
ejpam-5691	551	9	.	.	PUNCT
ejpam-5691	552	1	[	[	X
ejpam-5691	552	2	13	13	NUM
ejpam-5691	552	3	]	]	PUNCT
ejpam-5691	552	4	a.	a.	NOUN
ejpam-5691	552	5	fahmi	fahmi	PROPN
ejpam-5691	552	6	,	,	PUNCT
ejpam-5691	552	7	s.	s.	PROPN
ejpam-5691	552	8	abdullah	abdullah	PROPN
ejpam-5691	552	9	,	,	PUNCT
ejpam-5691	552	10	f.	f.	PROPN
ejpam-5691	552	11	amin	amin	PROPN
ejpam-5691	552	12	,	,	PUNCT
ejpam-5691	552	13	and	and	CCONJ
ejpam-5691	552	14	m.	m.	PROPN
ejpam-5691	552	15	a.	a.	PROPN
ejpam-5691	552	16	khan	khan	PROPN
ejpam-5691	552	17	.	.	PUNCT
ejpam-5691	553	1	trapezoidal	trapezoidal	ADJ
ejpam-5691	553	2	cubic	cubic	ADJ
ejpam-5691	553	3	fuzzy	fuzzy	ADJ
ejpam-5691	553	4	number	number	NOUN
ejpam-5691	553	5	einstein	einstein	PROPN
ejpam-5691	553	6	hybrid	hybrid	PROPN
ejpam-5691	553	7	weighted	weighted	AUX
ejpam-5691	553	8	averaging	average	VERB
ejpam-5691	553	9	operators	operator	NOUN
ejpam-5691	553	10	and	and	CCONJ
ejpam-5691	553	11	its	its	PRON
ejpam-5691	553	12	application	application	NOUN
ejpam-5691	553	13	to	to	ADP
ejpam-5691	553	14	decision	decision	NOUN
ejpam-5691	553	15	making	making	NOUN
ejpam-5691	553	16	.	.	PUNCT
ejpam-5691	554	1	soft	soft	ADJ
ejpam-5691	554	2	comput	comput	NOUN
ejpam-5691	554	3	.	.	PUNCT
ejpam-5691	554	4	,	,	PUNCT
ejpam-5691	554	5	23:5753–5783	23:5753–5783	NOUN
ejpam-5691	554	6	,	,	PUNCT
ejpam-5691	554	7	2019	2019	NUM
ejpam-5691	554	8	.	.	PUNCT
ejpam-5691	555	1	[	[	X
ejpam-5691	555	2	14	14	NUM
ejpam-5691	555	3	]	]	PUNCT
ejpam-5691	555	4	a.	a.	NOUN
ejpam-5691	555	5	fahmi	fahmi	PROPN
ejpam-5691	555	6	,	,	PUNCT
ejpam-5691	555	7	s.	s.	PROPN
ejpam-5691	555	8	abdullah	abdullah	PROPN
ejpam-5691	555	9	,	,	PUNCT
ejpam-5691	555	10	f.	f.	PROPN
ejpam-5691	555	11	amin	amin	PROPN
ejpam-5691	555	12	,	,	PUNCT
ejpam-5691	555	13	n.	n.	NOUN
ejpam-5691	555	14	siddiqui	siddiqui	PROPN
ejpam-5691	555	15	,	,	PUNCT
ejpam-5691	555	16	and	and	CCONJ
ejpam-5691	555	17	a.	a.	PROPN
ejpam-5691	555	18	ali	ali	PROPN
ejpam-5691	555	19	.	.	PUNCT
ejpam-5691	555	20	aggregation	aggregation	NOUN
ejpam-5691	555	21	operators	operator	NOUN
ejpam-5691	555	22	on	on	ADP
ejpam-5691	555	23	triangular	triangular	ADJ
ejpam-5691	555	24	cubic	cubic	ADJ
ejpam-5691	555	25	fuzzy	fuzzy	ADJ
ejpam-5691	555	26	numbers	number	NOUN
ejpam-5691	555	27	and	and	CCONJ
ejpam-5691	555	28	its	its	PRON
ejpam-5691	555	29	application	application	NOUN
ejpam-5691	555	30	to	to	ADP
ejpam-5691	555	31	multi	multi	ADJ
ejpam-5691	555	32	-	-	ADJ
ejpam-5691	555	33	criteria	criterion	NOUN
ejpam-5691	555	34	decision	decision	NOUN
ejpam-5691	555	35	making	make	VERB
ejpam-5691	555	36	problems	problem	NOUN
ejpam-5691	555	37	.	.	PUNCT
ejpam-5691	556	1	j.	j.	PROPN
ejpam-5691	556	2	intell	intell	PROPN
ejpam-5691	556	3	.	.	PUNCT
ejpam-5691	557	1	fuzzy	fuzzy	ADJ
ejpam-5691	557	2	syst	syst	PROPN
ejpam-5691	557	3	.	.	PUNCT
ejpam-5691	557	4	,	,	PUNCT
ejpam-5691	558	1	33(6):3323–3337	33(6):3323–3337	NUM
ejpam-5691	558	2	,	,	PUNCT
ejpam-5691	558	3	2017	2017	NUM
ejpam-5691	558	4	.	.	PUNCT
ejpam-5691	559	1	[	[	X
ejpam-5691	559	2	15	15	NUM
ejpam-5691	559	3	]	]	X
ejpam-5691	559	4	a.	a.	NOUN
ejpam-5691	559	5	fahmi	fahmi	PROPN
ejpam-5691	559	6	,	,	PUNCT
ejpam-5691	559	7	r.	r.	PROPN
ejpam-5691	559	8	ahmed	ahmed	PROPN
ejpam-5691	559	9	,	,	PUNCT
ejpam-5691	559	10	m.	m.	NOUN
ejpam-5691	559	11	aslam	aslam	PROPN
ejpam-5691	559	12	,	,	PUNCT
ejpam-5691	559	13	t.	t.	NOUN
ejpam-5691	559	14	abdeljawad	abdeljawad	NOUN
ejpam-5691	559	15	,	,	PUNCT
ejpam-5691	559	16	and	and	CCONJ
ejpam-5691	559	17	a.	a.	PROPN
ejpam-5691	559	18	khan	khan	PROPN
ejpam-5691	559	19	.	.	PUNCT
ejpam-5691	560	1	disaster	disaster	NOUN
ejpam-5691	560	2	decisiona	decisiona	PROPN
ejpam-5691	560	3	.	.	PUNCT
ejpam-5691	561	1	fahmi	fahmi	PROPN
ejpam-5691	561	2	et	et	PROPN
ejpam-5691	561	3	al	al	PROPN
ejpam-5691	561	4	.	.	PUNCT
ejpam-5691	561	5	/	/	SYM
ejpam-5691	561	6	eur	eur	PROPN
ejpam-5691	561	7	.	.	PUNCT
ejpam-5691	562	1	j.	j.	PROPN
ejpam-5691	562	2	pure	pure	PROPN
ejpam-5691	562	3	appl	appl	PROPN
ejpam-5691	562	4	.	.	PROPN
ejpam-5691	562	5	math	math	PROPN
ejpam-5691	562	6	,	,	PUNCT
ejpam-5691	562	7	18	18	NUM
ejpam-5691	562	8	(	(	PUNCT
ejpam-5691	562	9	1	1	NUM
ejpam-5691	562	10	)	)	PUNCT
ejpam-5691	562	11	(	(	PUNCT
ejpam-5691	562	12	2025	2025	NUM
ejpam-5691	562	13	)	)	PUNCT
ejpam-5691	562	14	,	,	PUNCT
ejpam-5691	562	15	5691	5691	NUM
ejpam-5691	562	16	30	30	NUM
ejpam-5691	562	17	of	of	ADP
ejpam-5691	562	18	32	32	NUM
ejpam-5691	562	19	making	make	VERB
ejpam-5691	562	20	with	with	ADP
ejpam-5691	562	21	a	a	DET
ejpam-5691	562	22	mixing	mix	VERB
ejpam-5691	562	23	regret	regret	NOUN
ejpam-5691	562	24	philosophy	philosophy	NOUN
ejpam-5691	562	25	ddas	dda	VERB
ejpam-5691	562	26	method	method	NOUN
ejpam-5691	562	27	in	in	ADP
ejpam-5691	562	28	fermatean	fermatean	ADJ
ejpam-5691	562	29	fuzzy	fuzzy	ADJ
ejpam-5691	562	30	numbers	number	NOUN
ejpam-5691	562	31	.	.	PUNCT
ejpam-5691	563	1	aims	aim	VERB
ejpam-5691	563	2	mathematics	mathematics	PROPN
ejpam-5691	563	3	,	,	PUNCT
ejpam-5691	563	4	8(2):3860–3884	8(2):3860–3884	NUM
ejpam-5691	563	5	,	,	PUNCT
ejpam-5691	563	6	2023	2023	NUM
ejpam-5691	563	7	.	.	PUNCT
ejpam-5691	564	1	[	[	X
ejpam-5691	564	2	16	16	NUM
ejpam-5691	564	3	]	]	PUNCT
ejpam-5691	564	4	a.	a.	NOUN
ejpam-5691	564	5	fahmi	fahmi	PROPN
ejpam-5691	564	6	,	,	PUNCT
ejpam-5691	564	7	f.	f.	PROPN
ejpam-5691	564	8	amin	amin	PROPN
ejpam-5691	564	9	,	,	PUNCT
ejpam-5691	564	10	s.	s.	PROPN
ejpam-5691	564	11	abdullah	abdullah	PROPN
ejpam-5691	564	12	,	,	PUNCT
ejpam-5691	564	13	and	and	CCONJ
ejpam-5691	564	14	a.	a.	PROPN
ejpam-5691	564	15	ali	ali	PROPN
ejpam-5691	564	16	.	.	PROPN
ejpam-5691	564	17	cubic	cubic	PROPN
ejpam-5691	564	18	fuzzy	fuzzy	PROPN
ejpam-5691	564	19	einstein	einstein	PROPN
ejpam-5691	564	20	aggregation	aggregation	NOUN
ejpam-5691	564	21	operators	operator	NOUN
ejpam-5691	564	22	and	and	CCONJ
ejpam-5691	564	23	its	its	PRON
ejpam-5691	564	24	application	application	NOUN
ejpam-5691	564	25	to	to	ADP
ejpam-5691	564	26	decision	decision	NOUN
ejpam-5691	564	27	-	-	PUNCT
ejpam-5691	564	28	making	making	NOUN
ejpam-5691	564	29	.	.	PUNCT
ejpam-5691	565	1	int	int	NOUN
ejpam-5691	565	2	.	.	PUNCT
ejpam-5691	566	1	j.	j.	PROPN
ejpam-5691	566	2	syst	syst	PROPN
ejpam-5691	566	3	.	.	PUNCT
ejpam-5691	567	1	sci	sci	PROPN
ejpam-5691	567	2	.	.	PROPN
ejpam-5691	567	3	,	,	PUNCT
ejpam-5691	567	4	49(11):2385–2397	49(11):2385–2397	NUM
ejpam-5691	567	5	,	,	PUNCT
ejpam-5691	567	6	2018	2018	NUM
ejpam-5691	567	7	.	.	PUNCT
ejpam-5691	568	1	[	[	X
ejpam-5691	568	2	17	17	NUM
ejpam-5691	568	3	]	]	PUNCT
ejpam-5691	568	4	a.	a.	NOUN
ejpam-5691	568	5	fahmi	fahmi	PROPN
ejpam-5691	568	6	,	,	PUNCT
ejpam-5691	568	7	f.	f.	PROPN
ejpam-5691	568	8	amin	amin	PROPN
ejpam-5691	568	9	,	,	PUNCT
ejpam-5691	568	10	s.	s.	PROPN
ejpam-5691	568	11	m.	m.	PROPN
ejpam-5691	568	12	eldin	eldin	PROPN
ejpam-5691	568	13	,	,	PUNCT
ejpam-5691	568	14	m.	m.	NOUN
ejpam-5691	568	15	shutaywi	shutaywi	PROPN
ejpam-5691	568	16	,	,	PUNCT
ejpam-5691	568	17	w.	w.	PROPN
ejpam-5691	568	18	deebani	deebani	PROPN
ejpam-5691	568	19	,	,	PUNCT
ejpam-5691	568	20	and	and	CCONJ
ejpam-5691	568	21	s.	s.	PROPN
ejpam-5691	568	22	al	al	PROPN
ejpam-5691	568	23	sulaie	sulaie	PROPN
ejpam-5691	568	24	.	.	PUNCT
ejpam-5691	569	1	multiple	multiple	ADJ
ejpam-5691	569	2	attribute	attribute	NOUN
ejpam-5691	569	3	decision	decision	NOUN
ejpam-5691	569	4	-	-	PUNCT
ejpam-5691	569	5	making	making	NOUN
ejpam-5691	569	6	based	base	VERB
ejpam-5691	569	7	on	on	ADP
ejpam-5691	569	8	fermatean	fermatean	ADJ
ejpam-5691	569	9	fuzzy	fuzzy	ADJ
ejpam-5691	569	10	numbers	number	NOUN
ejpam-5691	569	11	.	.	PUNCT
ejpam-5691	570	1	aims	aim	VERB
ejpam-5691	570	2	mathematics	mathematic	NOUN
ejpam-5691	570	3	,	,	PUNCT
ejpam-5691	570	4	8(5):10835–10863	8(5):10835–10863	PROPN
ejpam-5691	570	5	,	,	PUNCT
ejpam-5691	570	6	2023	2023	NUM
ejpam-5691	570	7	.	.	PUNCT
ejpam-5691	571	1	[	[	X
ejpam-5691	571	2	18	18	NUM
ejpam-5691	571	3	]	]	PUNCT
ejpam-5691	571	4	a.	a.	NOUN
ejpam-5691	571	5	fahmi	fahmi	PROPN
ejpam-5691	571	6	,	,	PUNCT
ejpam-5691	571	7	m.	m.	NOUN
ejpam-5691	571	8	aslam	aslam	PROPN
ejpam-5691	571	9	,	,	PUNCT
ejpam-5691	571	10	and	and	CCONJ
ejpam-5691	571	11	r.	r.	PROPN
ejpam-5691	571	12	ahmed	ahmed	PROPN
ejpam-5691	571	13	.	.	PUNCT
ejpam-5691	572	1	decision	decision	NOUN
ejpam-5691	572	2	-	-	PUNCT
ejpam-5691	572	3	making	make	VERB
ejpam-5691	572	4	problem	problem	NOUN
ejpam-5691	572	5	based	base	VERB
ejpam-5691	572	6	on	on	ADP
ejpam-5691	572	7	a	a	DET
ejpam-5691	572	8	generalized	generalized	ADJ
ejpam-5691	572	9	interval	interval	NOUN
ejpam-5691	572	10	-	-	PUNCT
ejpam-5691	572	11	valued	value	VERB
ejpam-5691	572	12	bipolar	bipolar	ADJ
ejpam-5691	572	13	neutrosophic	neutrosophic	ADJ
ejpam-5691	572	14	einstein	einstein	PROPN
ejpam-5691	572	15	fuzzy	fuzzy	ADJ
ejpam-5691	572	16	aggregation	aggregation	NOUN
ejpam-5691	572	17	operator	operator	NOUN
ejpam-5691	572	18	.	.	PUNCT
ejpam-5691	573	1	soft	soft	ADJ
ejpam-5691	573	2	comput	comput	NOUN
ejpam-5691	573	3	.	.	PUNCT
ejpam-5691	573	4	,	,	PUNCT
ejpam-5691	573	5	27(20):14533–14551	27(20):14533–14551	NUM
ejpam-5691	573	6	,	,	PUNCT
ejpam-5691	573	7	2023	2023	NUM
ejpam-5691	573	8	.	.	PUNCT
ejpam-5691	574	1	[	[	X
ejpam-5691	574	2	19	19	NUM
ejpam-5691	574	3	]	]	PUNCT
ejpam-5691	574	4	a.	a.	NOUN
ejpam-5691	574	5	fahmi	fahmi	PROPN
ejpam-5691	574	6	,	,	PUNCT
ejpam-5691	574	7	a.	a.	PROPN
ejpam-5691	574	8	khan	khan	PROPN
ejpam-5691	574	9	,	,	PUNCT
ejpam-5691	574	10	t.	t.	NOUN
ejpam-5691	574	11	abdeljawad	abdeljawad	NOUN
ejpam-5691	574	12	,	,	PUNCT
ejpam-5691	574	13	and	and	CCONJ
ejpam-5691	574	14	m.	m.	NOUN
ejpam-5691	574	15	a.	a.	PROPN
ejpam-5691	574	16	alqudah	alqudah	PROPN
ejpam-5691	574	17	.	.	PUNCT
ejpam-5691	575	1	natural	natural	ADJ
ejpam-5691	575	2	gas	gas	NOUN
ejpam-5691	575	3	based	base	VERB
ejpam-5691	575	4	on	on	ADP
ejpam-5691	575	5	combined	combine	VERB
ejpam-5691	575	6	fuzzy	fuzzy	ADJ
ejpam-5691	575	7	topsis	topsis	NOUN
ejpam-5691	575	8	technique	technique	NOUN
ejpam-5691	575	9	and	and	CCONJ
ejpam-5691	575	10	entropy	entropy	NOUN
ejpam-5691	575	11	.	.	PUNCT
ejpam-5691	576	1	heliyon	heliyon	NOUN
ejpam-5691	576	2	,	,	PUNCT
ejpam-5691	576	3	10(1	10(1	NUM
ejpam-5691	576	4	)	)	PUNCT
ejpam-5691	576	5	,	,	PUNCT
ejpam-5691	576	6	2024	2024	NUM
ejpam-5691	576	7	.	.	PUNCT
ejpam-5691	577	1	[	[	X
ejpam-5691	577	2	20	20	NUM
ejpam-5691	577	3	]	]	PUNCT
ejpam-5691	577	4	b.	b.	PROPN
ejpam-5691	577	5	a.	a.	PROPN
ejpam-5691	577	6	frasin	frasin	PROPN
ejpam-5691	577	7	,	,	PUNCT
ejpam-5691	577	8	t.	t.	PROPN
ejpam-5691	577	9	al	al	PROPN
ejpam-5691	577	10	-	-	PUNCT
ejpam-5691	577	11	hawary	hawary	PROPN
ejpam-5691	577	12	,	,	PUNCT
ejpam-5691	577	13	a.	a.	PROPN
ejpam-5691	577	14	amourah	amourah	PROPN
ejpam-5691	577	15	,	,	PUNCT
ejpam-5691	577	16	j.	j.	PROPN
ejpam-5691	577	17	salah	salah	PROPN
ejpam-5691	577	18	,	,	PUNCT
ejpam-5691	577	19	and	and	CCONJ
ejpam-5691	577	20	o.	o.	PROPN
ejpam-5691	577	21	al	al	PROPN
ejpam-5691	577	22	-	-	PUNCT
ejpam-5691	577	23	refai	refai	PROPN
ejpam-5691	577	24	.	.	PUNCT
ejpam-5691	578	1	inclusive	inclusive	ADJ
ejpam-5691	578	2	subclasses	subclass	NOUN
ejpam-5691	578	3	of	of	ADP
ejpam-5691	578	4	bi	bi	ADJ
ejpam-5691	578	5	-	-	ADJ
ejpam-5691	578	6	univalent	univalent	ADJ
ejpam-5691	578	7	functions	function	NOUN
ejpam-5691	578	8	specified	specify	VERB
ejpam-5691	578	9	by	by	ADP
ejpam-5691	578	10	euler	euler	NOUN
ejpam-5691	578	11	polynomials	polynomial	NOUN
ejpam-5691	578	12	.	.	PUNCT
ejpam-5691	579	1	eur	eur	PROPN
ejpam-5691	579	2	.	.	PUNCT
ejpam-5691	580	1	j.	j.	PROPN
ejpam-5691	580	2	pure	pure	PROPN
ejpam-5691	580	3	appl	appl	PROPN
ejpam-5691	580	4	.	.	PUNCT
ejpam-5691	580	5	math	math	PROPN
ejpam-5691	580	6	.	.	PUNCT
ejpam-5691	580	7	,	,	PUNCT
ejpam-5691	580	8	17(4):2538–2549	17(4):2538–2549	PROPN
ejpam-5691	580	9	,	,	PUNCT
ejpam-5691	580	10	2024	2024	NUM
ejpam-5691	580	11	.	.	PUNCT
ejpam-5691	581	1	[	[	X
ejpam-5691	581	2	21	21	NUM
ejpam-5691	581	3	]	]	X
ejpam-5691	581	4	h.	h.	PROPN
ejpam-5691	581	5	garg	garg	PROPN
ejpam-5691	581	6	,	,	PUNCT
ejpam-5691	581	7	g.	g.	PROPN
ejpam-5691	581	8	shahzadi	shahzadi	PROPN
ejpam-5691	581	9	,	,	PUNCT
ejpam-5691	581	10	and	and	CCONJ
ejpam-5691	581	11	m.	m.	PROPN
ejpam-5691	581	12	akram	akram	PROPN
ejpam-5691	581	13	.	.	PUNCT
ejpam-5691	582	1	decision	decision	NOUN
ejpam-5691	582	2	-	-	PUNCT
ejpam-5691	582	3	making	make	VERB
ejpam-5691	582	4	analysis	analysis	NOUN
ejpam-5691	582	5	based	base	VERB
ejpam-5691	582	6	on	on	ADP
ejpam-5691	582	7	fermatean	fermatean	ADJ
ejpam-5691	582	8	fuzzy	fuzzy	ADJ
ejpam-5691	582	9	yager	yager	NOUN
ejpam-5691	582	10	aggregation	aggregation	NOUN
ejpam-5691	582	11	operators	operator	NOUN
ejpam-5691	582	12	with	with	ADP
ejpam-5691	582	13	application	application	NOUN
ejpam-5691	582	14	in	in	ADP
ejpam-5691	582	15	covid-19	covid-19	PROPN
ejpam-5691	582	16	testing	testing	NOUN
ejpam-5691	582	17	facility	facility	NOUN
ejpam-5691	582	18	.	.	PUNCT
ejpam-5691	583	1	math	math	NOUN
ejpam-5691	583	2	.	.	PUNCT
ejpam-5691	584	1	probl	probl	PROPN
ejpam-5691	584	2	.	.	PUNCT
ejpam-5691	585	1	eng	eng	PROPN
ejpam-5691	585	2	.	.	PROPN
ejpam-5691	585	3	,	,	PUNCT
ejpam-5691	585	4	16	16	NUM
ejpam-5691	585	5	,	,	PUNCT
ejpam-5691	585	6	2020	2020	NUM
ejpam-5691	585	7	.	.	PUNCT
ejpam-5691	586	1	[	[	X
ejpam-5691	586	2	22	22	NUM
ejpam-5691	586	3	]	]	SYM
ejpam-5691	586	4	gem	gem	NOUN
ejpam-5691	586	5	.	.	PUNCT
ejpam-5691	587	1	congratulatory	congratulatory	ADJ
ejpam-5691	587	2	announcement	announcement	NOUN
ejpam-5691	587	3	of	of	ADP
ejpam-5691	587	4	the	the	DET
ejpam-5691	587	5	e	e	NOUN
ejpam-5691	587	6	-	-	NOUN
ejpam-5691	587	7	waste	waste	ADJ
ejpam-5691	587	8	comprehensive	comprehensive	ADJ
ejpam-5691	587	9	utilization	utilization	NOUN
ejpam-5691	587	10	program	program	NOUN
ejpam-5691	587	11	in	in	ADP
ejpam-5691	587	12	wuhan	wuhan	PROPN
ejpam-5691	587	13	,	,	PUNCT
ejpam-5691	587	14	2011	2011	NUM
ejpam-5691	587	15	.	.	PUNCT
ejpam-5691	588	1	press	press	NOUN
ejpam-5691	588	2	conference	conference	NOUN
ejpam-5691	588	3	on	on	ADP
ejpam-5691	588	4	the	the	DET
ejpam-5691	588	5	regulations	regulation	NOUN
ejpam-5691	588	6	for	for	ADP
ejpam-5691	588	7	the	the	DET
ejpam-5691	588	8	recovery	recovery	NOUN
ejpam-5691	588	9	processing	processing	NOUN
ejpam-5691	588	10	of	of	ADP
ejpam-5691	588	11	waste	waste	NOUN
ejpam-5691	588	12	electrical	electrical	ADJ
ejpam-5691	588	13	and	and	CCONJ
ejpam-5691	588	14	electronic	electronic	ADJ
ejpam-5691	588	15	products	product	NOUN
ejpam-5691	588	16	.	.	PUNCT
ejpam-5691	589	1	[	[	X
ejpam-5691	589	2	23	23	NUM
ejpam-5691	589	3	]	]	PUNCT
ejpam-5691	589	4	a.	a.	NOUN
ejpam-5691	589	5	hadi	hadi	PROPN
ejpam-5691	589	6	,	,	PUNCT
ejpam-5691	589	7	w.	w.	PROPN
ejpam-5691	589	8	khan	khan	PROPN
ejpam-5691	589	9	,	,	PUNCT
ejpam-5691	589	10	and	and	CCONJ
ejpam-5691	589	11	a.	a.	PROPN
ejpam-5691	589	12	khan	khan	PROPN
ejpam-5691	589	13	.	.	PUNCT
ejpam-5691	590	1	a	a	DET
ejpam-5691	590	2	novel	novel	ADJ
ejpam-5691	590	3	approach	approach	NOUN
ejpam-5691	590	4	to	to	PART
ejpam-5691	590	5	madm	madm	VERB
ejpam-5691	590	6	problems	problem	NOUN
ejpam-5691	590	7	using	use	VERB
ejpam-5691	590	8	fermatean	fermatean	NOUN
ejpam-5691	590	9	fuzzy	fuzzy	ADJ
ejpam-5691	590	10	hamacher	hamacher	NOUN
ejpam-5691	590	11	aggregation	aggregation	NOUN
ejpam-5691	590	12	operators	operator	NOUN
ejpam-5691	590	13	.	.	PUNCT
ejpam-5691	591	1	int	int	NOUN
ejpam-5691	591	2	.	.	PUNCT
ejpam-5691	592	1	j.	j.	PROPN
ejpam-5691	592	2	intell	intell	PROPN
ejpam-5691	592	3	.	.	PUNCT
ejpam-5691	593	1	syst	syst	PROPN
ejpam-5691	593	2	.	.	PROPN
ejpam-5691	593	3	,	,	PUNCT
ejpam-5691	593	4	36(7):3464–3499	36(7):3464–3499	NUM
ejpam-5691	593	5	,	,	PUNCT
ejpam-5691	593	6	2021	2021	NUM
ejpam-5691	593	7	.	.	PUNCT
ejpam-5691	594	1	[	[	X
ejpam-5691	594	2	24	24	NUM
ejpam-5691	594	3	]	]	PUNCT
ejpam-5691	594	4	x.	x.	NOUN
ejpam-5691	594	5	huo	huo	PROPN
ejpam-5691	594	6	,	,	PUNCT
ejpam-5691	594	7	l.	l.	PROPN
ejpam-5691	594	8	peng	peng	PROPN
ejpam-5691	594	9	,	,	PUNCT
ejpam-5691	594	10	and	and	CCONJ
ejpam-5691	594	11	x.	x.	PROPN
ejpam-5691	594	12	xu	xu	PROPN
ejpam-5691	594	13	.	.	PUNCT
ejpam-5691	595	1	elevated	elevated	ADJ
ejpam-5691	595	2	blood	blood	NOUN
ejpam-5691	595	3	lead	lead	NOUN
ejpam-5691	595	4	levels	level	NOUN
ejpam-5691	595	5	of	of	ADP
ejpam-5691	595	6	children	child	NOUN
ejpam-5691	595	7	in	in	ADP
ejpam-5691	595	8	guiyu	guiyu	PROPN
ejpam-5691	595	9	,	,	PUNCT
ejpam-5691	595	10	an	an	DET
ejpam-5691	595	11	electronic	electronic	ADJ
ejpam-5691	595	12	waste	waste	NOUN
ejpam-5691	595	13	recycling	recycling	NOUN
ejpam-5691	595	14	town	town	NOUN
ejpam-5691	595	15	in	in	ADP
ejpam-5691	595	16	china	china	PROPN
ejpam-5691	595	17	.	.	PUNCT
ejpam-5691	596	1	environ	environ	PROPN
ejpam-5691	596	2	.	.	PUNCT
ejpam-5691	596	3	health	health	NOUN
ejpam-5691	596	4	perspect	perspect	NOUN
ejpam-5691	596	5	.	.	PUNCT
ejpam-5691	596	6	,	,	PUNCT
ejpam-5691	596	7	115(7):1113–1117	115(7):1113–1117	NUM
ejpam-5691	596	8	,	,	PUNCT
ejpam-5691	596	9	2007	2007	NUM
ejpam-5691	596	10	.	.	PUNCT
ejpam-5691	597	1	[	[	X
ejpam-5691	597	2	25	25	NUM
ejpam-5691	597	3	]	]	PUNCT
ejpam-5691	597	4	a.	a.	NOUN
ejpam-5691	597	5	hussian	hussian	PROPN
ejpam-5691	597	6	,	,	PUNCT
ejpam-5691	597	7	t.	t.	PROPN
ejpam-5691	597	8	mahmood	mahmood	PROPN
ejpam-5691	597	9	,	,	PUNCT
ejpam-5691	597	10	m.	m.	PROPN
ejpam-5691	597	11	i.	i.	PROPN
ejpam-5691	597	12	ali	ali	PROPN
ejpam-5691	597	13	,	,	PUNCT
ejpam-5691	597	14	v.	v.	PROPN
ejpam-5691	597	15	c.	c.	PROPN
ejpam-5691	597	16	gerogiannis	gerogiannis	PROPN
ejpam-5691	597	17	,	,	PUNCT
ejpam-5691	597	18	d.	d.	PROPN
ejpam-5691	597	19	tzimos	tzimos	PROPN
ejpam-5691	597	20	,	,	PUNCT
ejpam-5691	597	21	and	and	CCONJ
ejpam-5691	597	22	d.	d.	PROPN
ejpam-5691	597	23	giakovis	giakovis	PROPN
ejpam-5691	597	24	.	.	PUNCT
ejpam-5691	598	1	q	q	ADJ
ejpam-5691	598	2	-	-	PUNCT
ejpam-5691	598	3	rung	rung	ADJ
ejpam-5691	598	4	orthopair	orthopair	ADJ
ejpam-5691	598	5	fuzzy	fuzzy	ADJ
ejpam-5691	598	6	soft	soft	ADJ
ejpam-5691	598	7	hamacher	hamacher	NOUN
ejpam-5691	598	8	aggregation	aggregation	NOUN
ejpam-5691	598	9	operators	operator	NOUN
ejpam-5691	598	10	and	and	CCONJ
ejpam-5691	598	11	their	their	PRON
ejpam-5691	598	12	applications	application	NOUN
ejpam-5691	598	13	in	in	ADP
ejpam-5691	598	14	multi	multi	ADJ
ejpam-5691	598	15	-	-	ADJ
ejpam-5691	598	16	criteria	criteria	ADJ
ejpam-5691	598	17	decision	decision	NOUN
ejpam-5691	598	18	making	making	NOUN
ejpam-5691	598	19	.	.	PUNCT
ejpam-5691	599	1	computational	computational	ADJ
ejpam-5691	599	2	appl	appl	PROPN
ejpam-5691	599	3	.	.	PUNCT
ejpam-5691	600	1	math	math	PROPN
ejpam-5691	600	2	.	.	PUNCT
ejpam-5691	600	3	,	,	PUNCT
ejpam-5691	600	4	43(1):22	43(1):22	NOUN
ejpam-5691	600	5	,	,	PUNCT
ejpam-5691	600	6	2024	2024	NUM
ejpam-5691	600	7	.	.	PUNCT
ejpam-5691	601	1	[	[	X
ejpam-5691	601	2	26	26	NUM
ejpam-5691	601	3	]	]	PUNCT
ejpam-5691	601	4	m.	m.	NOUN
ejpam-5691	601	5	illafe	illafe	NOUN
ejpam-5691	601	6	,	,	PUNCT
ejpam-5691	601	7	m.	m.	NOUN
ejpam-5691	601	8	h.	h.	PROPN
ejpam-5691	601	9	mohd	mohd	PROPN
ejpam-5691	601	10	,	,	PUNCT
ejpam-5691	601	11	f.	f.	PROPN
ejpam-5691	601	12	yousef	yousef	PROPN
ejpam-5691	601	13	,	,	PUNCT
ejpam-5691	601	14	and	and	CCONJ
ejpam-5691	601	15	s.	s.	PROPN
ejpam-5691	601	16	supramaniam	supramaniam	PROPN
ejpam-5691	601	17	.	.	PUNCT
ejpam-5691	602	1	a	a	DET
ejpam-5691	602	2	subclass	subclass	NOUN
ejpam-5691	602	3	of	of	ADP
ejpam-5691	602	4	bi	bi	ADJ
ejpam-5691	602	5	-	-	ADJ
ejpam-5691	602	6	univalent	univalent	ADJ
ejpam-5691	602	7	functions	function	NOUN
ejpam-5691	602	8	defined	define	VERB
ejpam-5691	602	9	by	by	ADP
ejpam-5691	602	10	a	a	DET
ejpam-5691	602	11	symmetric	symmetric	ADJ
ejpam-5691	602	12	q	q	ADJ
ejpam-5691	602	13	-	-	ADJ
ejpam-5691	602	14	derivative	derivative	ADJ
ejpam-5691	602	15	operator	operator	NOUN
ejpam-5691	602	16	and	and	CCONJ
ejpam-5691	602	17	gegenbauer	gegenbauer	NOUN
ejpam-5691	602	18	polynomials	polynomial	NOUN
ejpam-5691	602	19	.	.	PUNCT
ejpam-5691	603	1	eur	eur	PROPN
ejpam-5691	603	2	.	.	PUNCT
ejpam-5691	604	1	j.	j.	PROPN
ejpam-5691	604	2	pure	pure	PROPN
ejpam-5691	604	3	appl	appl	PROPN
ejpam-5691	604	4	.	.	PUNCT
ejpam-5691	604	5	math	math	PROPN
ejpam-5691	604	6	.	.	PUNCT
ejpam-5691	604	7	,	,	PUNCT
ejpam-5691	604	8	17(4):2467–2480	17(4):2467–2480	NUM
ejpam-5691	604	9	,	,	PUNCT
ejpam-5691	604	10	2024	2024	NUM
ejpam-5691	604	11	.	.	PUNCT
ejpam-5691	605	1	[	[	X
ejpam-5691	605	2	27	27	NUM
ejpam-5691	605	3	]	]	X
ejpam-5691	605	4	h.	h.	PROPN
ejpam-5691	605	5	khan	khan	PROPN
ejpam-5691	605	6	,	,	PUNCT
ejpam-5691	605	7	j.	j.	PROPN
ejpam-5691	605	8	alzabut	alzabut	PROPN
ejpam-5691	605	9	,	,	PUNCT
ejpam-5691	605	10	and	and	CCONJ
ejpam-5691	605	11	a.	a.	NOUN
ejpam-5691	605	12	alkhazzan	alkhazzan	PROPN
ejpam-5691	605	13	.	.	PUNCT
ejpam-5691	606	1	qualitative	qualitative	ADJ
ejpam-5691	606	2	dynamical	dynamical	ADJ
ejpam-5691	606	3	study	study	NOUN
ejpam-5691	606	4	of	of	ADP
ejpam-5691	606	5	hybrid	hybrid	ADJ
ejpam-5691	606	6	systems	system	NOUN
ejpam-5691	606	7	of	of	ADP
ejpam-5691	606	8	pantograph	pantograph	NOUN
ejpam-5691	606	9	equations	equation	NOUN
ejpam-5691	606	10	with	with	ADP
ejpam-5691	606	11	nonlinear	nonlinear	ADJ
ejpam-5691	606	12	p	p	PROPN
ejpam-5691	606	13	-	-	PUNCT
ejpam-5691	606	14	laplacian	laplacian	ADJ
ejpam-5691	606	15	operator	operator	NOUN
ejpam-5691	606	16	in	in	ADP
ejpam-5691	606	17	banach	banach	NOUN
ejpam-5691	606	18	spaces	space	NOUN
ejpam-5691	606	19	.	.	PUNCT
ejpam-5691	607	1	results	result	NOUN
ejpam-5691	607	2	in	in	ADP
ejpam-5691	607	3	control	control	NOUN
ejpam-5691	607	4	and	and	CCONJ
ejpam-5691	607	5	optimization	optimization	NOUN
ejpam-5691	607	6	,	,	PUNCT
ejpam-5691	607	7	15:100416	15:100416	NUM
ejpam-5691	607	8	,	,	PUNCT
ejpam-5691	607	9	2024	2024	NUM
ejpam-5691	607	10	.	.	PUNCT
ejpam-5691	608	1	[	[	X
ejpam-5691	608	2	28	28	NUM
ejpam-5691	608	3	]	]	X
ejpam-5691	608	4	h.	h.	PROPN
ejpam-5691	608	5	khan	khan	PROPN
ejpam-5691	608	6	,	,	PUNCT
ejpam-5691	608	7	j.	j.	PROPN
ejpam-5691	608	8	alzabut	alzabut	PROPN
ejpam-5691	608	9	,	,	PUNCT
ejpam-5691	608	10	d.	d.	PROPN
ejpam-5691	608	11	k.	k.	PROPN
ejpam-5691	608	12	almutairi	almutairi	PROPN
ejpam-5691	608	13	,	,	PUNCT
ejpam-5691	608	14	and	and	CCONJ
ejpam-5691	608	15	w.	w.	PROPN
ejpam-5691	608	16	k.	k.	PROPN
ejpam-5691	608	17	alqurashi	alqurashi	PROPN
ejpam-5691	608	18	.	.	PUNCT
ejpam-5691	609	1	the	the	DET
ejpam-5691	609	2	use	use	NOUN
ejpam-5691	609	3	of	of	ADP
ejpam-5691	609	4	artificial	artificial	ADJ
ejpam-5691	609	5	intelligence	intelligence	NOUN
ejpam-5691	609	6	in	in	ADP
ejpam-5691	609	7	data	datum	NOUN
ejpam-5691	609	8	analysis	analysis	NOUN
ejpam-5691	609	9	with	with	ADP
ejpam-5691	609	10	error	error	NOUN
ejpam-5691	609	11	recognition	recognition	NOUN
ejpam-5691	609	12	in	in	ADP
ejpam-5691	609	13	liver	liver	NOUN
ejpam-5691	609	14	transplantation	transplantation	NOUN
ejpam-5691	609	15	in	in	ADP
ejpam-5691	609	16	hiv	hiv	PROPN
ejpam-5691	609	17	-	-	PUNCT
ejpam-5691	609	18	aids	aid	NOUN
ejpam-5691	609	19	patients	patient	NOUN
ejpam-5691	609	20	using	use	VERB
ejpam-5691	609	21	modified	modify	VERB
ejpam-5691	609	22	abc	abc	PROPN
ejpam-5691	609	23	fractional	fractional	ADJ
ejpam-5691	609	24	order	order	NOUN
ejpam-5691	609	25	operators	operator	NOUN
ejpam-5691	609	26	.	.	PUNCT
ejpam-5691	610	1	fractal	fractal	ADJ
ejpam-5691	610	2	and	and	CCONJ
ejpam-5691	610	3	fractional	fractional	ADJ
ejpam-5691	610	4	,	,	PUNCT
ejpam-5691	610	5	9(1):16	9(1):16	NUM
ejpam-5691	610	6	,	,	PUNCT
ejpam-5691	610	7	2025	2025	NUM
ejpam-5691	610	8	.	.	PUNCT
ejpam-5691	611	1	[	[	X
ejpam-5691	611	2	29	29	NUM
ejpam-5691	611	3	]	]	PUNCT
ejpam-5691	611	4	a.	a.	PROPN
ejpam-5691	611	5	r.	r.	PROPN
ejpam-5691	611	6	mishra	mishra	PROPN
ejpam-5691	611	7	,	,	PUNCT
ejpam-5691	611	8	p.	p.	NOUN
ejpam-5691	611	9	rani	rani	PROPN
ejpam-5691	611	10	,	,	PUNCT
ejpam-5691	611	11	and	and	CCONJ
ejpam-5691	611	12	k.	k.	PROPN
ejpam-5691	611	13	pandey	pandey	PROPN
ejpam-5691	611	14	.	.	PUNCT
ejpam-5691	611	15	fermatean	fermatean	PROPN
ejpam-5691	611	16	fuzzy	fuzzy	ADJ
ejpam-5691	611	17	critic	critic	NOUN
ejpam-5691	611	18	-	-	PUNCT
ejpam-5691	611	19	edas	eda	VERB
ejpam-5691	611	20	approach	approach	NOUN
ejpam-5691	611	21	for	for	ADP
ejpam-5691	611	22	the	the	DET
ejpam-5691	611	23	selection	selection	NOUN
ejpam-5691	611	24	of	of	ADP
ejpam-5691	611	25	sustainable	sustainable	ADJ
ejpam-5691	611	26	third	third	ADJ
ejpam-5691	611	27	-	-	PUNCT
ejpam-5691	611	28	party	party	NOUN
ejpam-5691	611	29	reverse	reverse	NOUN
ejpam-5691	611	30	logistics	logistic	NOUN
ejpam-5691	611	31	providers	provider	NOUN
ejpam-5691	611	32	using	use	VERB
ejpam-5691	611	33	an	an	DET
ejpam-5691	611	34	improved	improved	ADJ
ejpam-5691	611	35	generalized	generalized	ADJ
ejpam-5691	611	36	score	score	NOUN
ejpam-5691	611	37	function	function	NOUN
ejpam-5691	611	38	.	.	PUNCT
ejpam-5691	612	1	j.	j.	PROPN
ejpam-5691	612	2	ambient	ambient	PROPN
ejpam-5691	612	3	.	.	PUNCT
ejpam-5691	613	1	intell	intell	PROPN
ejpam-5691	613	2	.	.	PUNCT
ejpam-5691	614	1	humaniz	humaniz	VERB
ejpam-5691	614	2	.	.	PUNCT
ejpam-5691	615	1	comput	comput	NOUN
ejpam-5691	615	2	.	.	PUNCT
ejpam-5691	615	3	,	,	PUNCT
ejpam-5691	615	4	2021	2021	NUM
ejpam-5691	615	5	.	.	PUNCT
ejpam-5691	616	1	a.	a.	PROPN
ejpam-5691	616	2	fahmi	fahmi	PROPN
ejpam-5691	616	3	et	et	PROPN
ejpam-5691	616	4	al	al	PROPN
ejpam-5691	616	5	.	.	PUNCT
ejpam-5691	616	6	/	/	SYM
ejpam-5691	616	7	eur	eur	PROPN
ejpam-5691	616	8	.	.	PUNCT
ejpam-5691	617	1	j.	j.	PROPN
ejpam-5691	617	2	pure	pure	PROPN
ejpam-5691	617	3	appl	appl	PROPN
ejpam-5691	617	4	.	.	PROPN
ejpam-5691	617	5	math	math	PROPN
ejpam-5691	617	6	,	,	PUNCT
ejpam-5691	617	7	18	18	NUM
ejpam-5691	617	8	(	(	PUNCT
ejpam-5691	617	9	1	1	NUM
ejpam-5691	617	10	)	)	PUNCT
ejpam-5691	617	11	(	(	PUNCT
ejpam-5691	617	12	2025	2025	NUM
ejpam-5691	617	13	)	)	PUNCT
ejpam-5691	617	14	,	,	PUNCT
ejpam-5691	617	15	5691	5691	NUM
ejpam-5691	617	16	31	31	NUM
ejpam-5691	617	17	of	of	ADP
ejpam-5691	617	18	32	32	NUM
ejpam-5691	617	19	[	[	SYM
ejpam-5691	617	20	30	30	NUM
ejpam-5691	617	21	]	]	X
ejpam-5691	617	22	f.	f.	PROPN
ejpam-5691	617	23	o.	o.	PROPN
ejpam-5691	617	24	ongondo	ongondo	PROPN
ejpam-5691	617	25	,	,	PUNCT
ejpam-5691	617	26	i.	i.	PROPN
ejpam-5691	617	27	d.	d.	PROPN
ejpam-5691	617	28	williams	williams	PROPN
ejpam-5691	617	29	,	,	PUNCT
ejpam-5691	617	30	and	and	CCONJ
ejpam-5691	617	31	t.	t.	PROPN
ejpam-5691	617	32	j.	j.	PROPN
ejpam-5691	617	33	cherrett	cherrett	PROPN
ejpam-5691	617	34	.	.	PUNCT
ejpam-5691	618	1	how	how	SCONJ
ejpam-5691	618	2	are	be	AUX
ejpam-5691	618	3	weee	weee	NOUN
ejpam-5691	618	4	doing	do	VERB
ejpam-5691	618	5	?	?	PUNCT
ejpam-5691	619	1	a	a	DET
ejpam-5691	619	2	global	global	ADJ
ejpam-5691	619	3	review	review	NOUN
ejpam-5691	619	4	of	of	ADP
ejpam-5691	619	5	the	the	DET
ejpam-5691	619	6	management	management	NOUN
ejpam-5691	619	7	of	of	ADP
ejpam-5691	619	8	electrical	electrical	ADJ
ejpam-5691	619	9	and	and	CCONJ
ejpam-5691	619	10	electronic	electronic	ADJ
ejpam-5691	619	11	wastes	waste	NOUN
ejpam-5691	619	12	.	.	PUNCT
ejpam-5691	620	1	waste	waste	NOUN
ejpam-5691	620	2	manag	manag	PROPN
ejpam-5691	620	3	.	.	PUNCT
ejpam-5691	620	4	,	,	PUNCT
ejpam-5691	620	5	31(4):714	31(4):714	NOUN
ejpam-5691	620	6	–	–	PUNCT
ejpam-5691	620	7	730	730	NUM
ejpam-5691	620	8	,	,	PUNCT
ejpam-5691	620	9	2011	2011	NUM
ejpam-5691	620	10	.	.	PUNCT
ejpam-5691	621	1	[	[	X
ejpam-5691	621	2	31	31	NUM
ejpam-5691	621	3	]	]	PUNCT
ejpam-5691	621	4	l.	l.	PROPN
ejpam-5691	621	5	platil	platil	PROPN
ejpam-5691	621	6	and	and	CCONJ
ejpam-5691	621	7	t.	t.	PROPN
ejpam-5691	621	8	tanaka	tanaka	PROPN
ejpam-5691	621	9	.	.	PUNCT
ejpam-5691	622	1	multi	multi	ADJ
ejpam-5691	622	2	-	-	ADJ
ejpam-5691	622	3	criteria	criteria	ADJ
ejpam-5691	622	4	evaluation	evaluation	NOUN
ejpam-5691	622	5	for	for	ADP
ejpam-5691	622	6	intuitionistic	intuitionistic	ADJ
ejpam-5691	622	7	fuzzy	fuzzy	ADJ
ejpam-5691	622	8	sets	set	NOUN
ejpam-5691	622	9	based	base	VERB
ejpam-5691	622	10	on	on	ADP
ejpam-5691	622	11	set	set	NOUN
ejpam-5691	622	12	-	-	PUNCT
ejpam-5691	622	13	relations	relation	NOUN
ejpam-5691	622	14	.	.	PUNCT
ejpam-5691	623	1	nihonkai	nihonkai	PROPN
ejpam-5691	623	2	mathematical	mathematical	PROPN
ejpam-5691	623	3	journal	journal	PROPN
ejpam-5691	623	4	,	,	PUNCT
ejpam-5691	623	5	34:1–18	34:1–18	NUM
ejpam-5691	623	6	,	,	PUNCT
ejpam-5691	623	7	2023	2023	NUM
ejpam-5691	623	8	.	.	PUNCT
ejpam-5691	624	1	[	[	X
ejpam-5691	624	2	32	32	NUM
ejpam-5691	624	3	]	]	PUNCT
ejpam-5691	624	4	l.	l.	PROPN
ejpam-5691	624	5	c.	c.	PROPN
ejpam-5691	624	6	platil	platil	PROPN
ejpam-5691	624	7	and	and	CCONJ
ejpam-5691	624	8	g.	g.	PROPN
ejpam-5691	624	9	c.	c.	PROPN
ejpam-5691	624	10	petalcorin	petalcorin	PROPN
ejpam-5691	624	11	.	.	PUNCT
ejpam-5691	625	1	fuzzy	fuzzy	ADJ
ejpam-5691	625	2	γ	γ	NOUN
ejpam-5691	625	3	-	-	NOUN
ejpam-5691	625	4	semimodules	semimodule	NOUN
ejpam-5691	625	5	over	over	ADP
ejpam-5691	625	6	γ	γ	NOUN
ejpam-5691	625	7	-	-	NOUN
ejpam-5691	625	8	semirings	semiring	NOUN
ejpam-5691	625	9	.	.	PUNCT
ejpam-5691	626	1	j.	j.	PROPN
ejpam-5691	626	2	anal	anal	PROPN
ejpam-5691	626	3	.	.	PUNCT
ejpam-5691	627	1	appl	appl	PROPN
ejpam-5691	627	2	.	.	PROPN
ejpam-5691	627	3	,	,	PUNCT
ejpam-5691	627	4	15:71–83	15:71–83	NUM
ejpam-5691	627	5	,	,	PUNCT
ejpam-5691	627	6	2017	2017	NUM
ejpam-5691	627	7	.	.	PUNCT
ejpam-5691	628	1	[	[	X
ejpam-5691	628	2	33	33	NUM
ejpam-5691	628	3	]	]	PUNCT
ejpam-5691	628	4	l.	l.	PROPN
ejpam-5691	628	5	c.	c.	PROPN
ejpam-5691	628	6	platil	platil	PROPN
ejpam-5691	628	7	and	and	CCONJ
ejpam-5691	628	8	j.	j.	PROPN
ejpam-5691	628	9	p.	p.	PROPN
ejpam-5691	628	10	vilela	vilela	PROPN
ejpam-5691	628	11	.	.	PUNCT
ejpam-5691	629	1	on	on	ADP
ejpam-5691	629	2	anti	anti	X
ejpam-5691	629	3	fuzzy	fuzzy	ADJ
ejpam-5691	629	4	sub	sub	NOUN
ejpam-5691	629	5	ks	k	NOUN
ejpam-5691	629	6	-	-	PUNCT
ejpam-5691	629	7	semigroups	semigroup	NOUN
ejpam-5691	629	8	.	.	PUNCT
ejpam-5691	630	1	asia	asia	PROPN
ejpam-5691	630	2	-	-	PUNCT
ejpam-5691	630	3	pacific	pacific	PROPN
ejpam-5691	630	4	j.	j.	PROPN
ejpam-5691	630	5	sci	sci	PROPN
ejpam-5691	630	6	.	.	PROPN
ejpam-5691	630	7	math	math	PROPN
ejpam-5691	630	8	.	.	PUNCT
ejpam-5691	631	1	eng	eng	PROPN
ejpam-5691	631	2	.	.	PROPN
ejpam-5691	631	3	,	,	PUNCT
ejpam-5691	631	4	3(1):7–10	3(1):7–10	NUM
ejpam-5691	631	5	,	,	PUNCT
ejpam-5691	631	6	2015	2015	NUM
ejpam-5691	631	7	.	.	PUNCT
ejpam-5691	632	1	[	[	X
ejpam-5691	632	2	34	34	NUM
ejpam-5691	632	3	]	]	PUNCT
ejpam-5691	632	4	t.	t.	NOUN
ejpam-5691	632	5	senapati	senapati	PROPN
ejpam-5691	632	6	and	and	CCONJ
ejpam-5691	632	7	r.	r.	PROPN
ejpam-5691	632	8	r.	r.	PROPN
ejpam-5691	632	9	yager	yager	PROPN
ejpam-5691	632	10	.	.	PUNCT
ejpam-5691	633	1	fermatean	fermatean	ADJ
ejpam-5691	633	2	fuzzy	fuzzy	ADJ
ejpam-5691	633	3	sets	set	NOUN
ejpam-5691	633	4	.	.	PUNCT
ejpam-5691	634	1	j.	j.	PROPN
ejpam-5691	634	2	amb	amb	PROPN
ejpam-5691	634	3	.	.	PROPN
ejpam-5691	634	4	intell	intell	PROPN
ejpam-5691	634	5	.	.	PUNCT
ejpam-5691	635	1	hum	hum	ADJ
ejpam-5691	635	2	.	.	PUNCT
ejpam-5691	636	1	comput	comput	NOUN
ejpam-5691	636	2	.	.	PUNCT
ejpam-5691	636	3	,	,	PUNCT
ejpam-5691	636	4	2020	2020	NUM
ejpam-5691	636	5	.	.	PUNCT
ejpam-5691	637	1	[	[	X
ejpam-5691	637	2	35	35	NUM
ejpam-5691	637	3	]	]	X
ejpam-5691	637	4	g.	g.	PROPN
ejpam-5691	637	5	shahzadi	shahzadi	PROPN
ejpam-5691	637	6	,	,	PUNCT
ejpam-5691	637	7	g.	g.	PROPN
ejpam-5691	637	8	muhiuddin	muhiuddin	PROPN
ejpam-5691	637	9	,	,	PUNCT
ejpam-5691	637	10	m.	m.	PROPN
ejpam-5691	637	11	arif	arif	PROPN
ejpam-5691	637	12	butt	butt	PROPN
ejpam-5691	637	13	,	,	PUNCT
ejpam-5691	637	14	and	and	CCONJ
ejpam-5691	637	15	a.	a.	NOUN
ejpam-5691	637	16	ashraf	ashraf	PROPN
ejpam-5691	637	17	.	.	PUNCT
ejpam-5691	638	1	hamacher	hamacher	PROPN
ejpam-5691	638	2	interactive	interactive	VERB
ejpam-5691	638	3	hybrid	hybrid	NOUN
ejpam-5691	638	4	weighted	weight	VERB
ejpam-5691	638	5	averaging	average	VERB
ejpam-5691	638	6	operators	operator	NOUN
ejpam-5691	638	7	under	under	ADP
ejpam-5691	638	8	fermatean	fermatean	ADJ
ejpam-5691	638	9	fuzzy	fuzzy	ADJ
ejpam-5691	638	10	numbers	number	NOUN
ejpam-5691	638	11	.	.	PUNCT
ejpam-5691	639	1	j.	j.	PROPN
ejpam-5691	639	2	math	math	PROPN
ejpam-5691	639	3	.	.	PROPN
ejpam-5691	639	4	,	,	PUNCT
ejpam-5691	639	5	2021	2021	NUM
ejpam-5691	639	6	.	.	PUNCT
ejpam-5691	640	1	[	[	X
ejpam-5691	640	2	36	36	NUM
ejpam-5691	640	3	]	]	PUNCT
ejpam-5691	640	4	l.	l.	PROPN
ejpam-5691	640	5	wang	wang	PROPN
ejpam-5691	640	6	,	,	PUNCT
ejpam-5691	640	7	h.	h.	PROPN
ejpam-5691	640	8	garg	garg	PROPN
ejpam-5691	640	9	,	,	PUNCT
ejpam-5691	640	10	and	and	CCONJ
ejpam-5691	640	11	n.	n.	PROPN
ejpam-5691	640	12	li	li	PROPN
ejpam-5691	640	13	.	.	PROPN
ejpam-5691	641	1	pythagorean	pythagorean	PROPN
ejpam-5691	641	2	fuzzy	fuzzy	PROPN
ejpam-5691	641	3	interactive	interactive	ADJ
ejpam-5691	641	4	hamacher	hamacher	NOUN
ejpam-5691	641	5	power	power	NOUN
ejpam-5691	641	6	aggregation	aggregation	NOUN
ejpam-5691	641	7	operators	operator	NOUN
ejpam-5691	641	8	for	for	ADP
ejpam-5691	641	9	assessment	assessment	NOUN
ejpam-5691	641	10	of	of	ADP
ejpam-5691	641	11	express	express	ADJ
ejpam-5691	641	12	service	service	NOUN
ejpam-5691	641	13	quality	quality	NOUN
ejpam-5691	641	14	with	with	ADP
ejpam-5691	641	15	entropy	entropy	NOUN
ejpam-5691	641	16	weight	weight	NOUN
ejpam-5691	641	17	.	.	PUNCT
ejpam-5691	642	1	soft	soft	ADJ
ejpam-5691	642	2	comput	comput	NOUN
ejpam-5691	642	3	.	.	PUNCT
ejpam-5691	642	4	,	,	PUNCT
ejpam-5691	642	5	25(2):973–993	25(2):973–993	PROPN
ejpam-5691	642	6	,	,	PUNCT
ejpam-5691	642	7	2021	2021	NUM
ejpam-5691	642	8	.	.	PUNCT
ejpam-5691	643	1	[	[	X
ejpam-5691	643	2	37	37	NUM
ejpam-5691	643	3	]	]	X
ejpam-5691	643	4	w.	w.	PROPN
ejpam-5691	643	5	wang	wang	PROPN
ejpam-5691	643	6	and	and	CCONJ
ejpam-5691	643	7	x.	x.	PROPN
ejpam-5691	643	8	liu	liu	PROPN
ejpam-5691	643	9	.	.	PUNCT
ejpam-5691	644	1	intuitionistic	intuitionistic	ADJ
ejpam-5691	644	2	fuzzy	fuzzy	ADJ
ejpam-5691	644	3	information	information	NOUN
ejpam-5691	644	4	aggregation	aggregation	NOUN
ejpam-5691	644	5	using	use	VERB
ejpam-5691	644	6	einstein	einstein	ADJ
ejpam-5691	644	7	operations	operation	NOUN
ejpam-5691	644	8	.	.	PUNCT
ejpam-5691	645	1	ieee	ieee	PROPN
ejpam-5691	645	2	trans	trans	PROPN
ejpam-5691	645	3	.	.	PUNCT
ejpam-5691	645	4	fuzzy	fuzzy	ADJ
ejpam-5691	645	5	syst	syst	PROPN
ejpam-5691	645	6	.	.	PROPN
ejpam-5691	645	7	,	,	PUNCT
ejpam-5691	645	8	20(5):923–938	20(5):923–938	PROPN
ejpam-5691	645	9	,	,	PUNCT
ejpam-5691	645	10	2012	2012	NUM
ejpam-5691	645	11	.	.	PUNCT
ejpam-5691	646	1	[	[	X
ejpam-5691	646	2	38	38	NUM
ejpam-5691	646	3	]	]	PUNCT
ejpam-5691	646	4	g.	g.	PROPN
ejpam-5691	646	5	wei	wei	PROPN
ejpam-5691	646	6	.	.	PUNCT
ejpam-5691	647	1	pythagorean	pythagorean	PROPN
ejpam-5691	647	2	fuzzy	fuzzy	ADJ
ejpam-5691	647	3	interaction	interaction	NOUN
ejpam-5691	647	4	aggregation	aggregation	NOUN
ejpam-5691	647	5	operators	operator	NOUN
ejpam-5691	647	6	and	and	CCONJ
ejpam-5691	647	7	their	their	PRON
ejpam-5691	647	8	application	application	NOUN
ejpam-5691	647	9	to	to	ADP
ejpam-5691	647	10	multiple	multiple	ADJ
ejpam-5691	647	11	attribute	attribute	NOUN
ejpam-5691	647	12	decision	decision	NOUN
ejpam-5691	647	13	making	making	NOUN
ejpam-5691	647	14	.	.	PUNCT
ejpam-5691	648	1	j.	j.	PROPN
ejpam-5691	648	2	intell	intell	PROPN
ejpam-5691	648	3	.	.	PUNCT
ejpam-5691	649	1	fuzzy	fuzzy	ADJ
ejpam-5691	649	2	syst	syst	PROPN
ejpam-5691	649	3	.	.	PUNCT
ejpam-5691	649	4	,	,	PUNCT
ejpam-5691	650	1	33(4):2119–2132	33(4):2119–2132	NUM
ejpam-5691	650	2	,	,	PUNCT
ejpam-5691	650	3	2017	2017	NUM
ejpam-5691	650	4	.	.	PUNCT
ejpam-5691	651	1	[	[	X
ejpam-5691	651	2	39	39	NUM
ejpam-5691	651	3	]	]	PUNCT
ejpam-5691	651	4	g.	g.	PROPN
ejpam-5691	651	5	wei	wei	PROPN
ejpam-5691	651	6	,	,	PUNCT
ejpam-5691	651	7	f.	f.	PROPN
ejpam-5691	651	8	e.	e.	PROPN
ejpam-5691	651	9	alsaadi	alsaadi	PROPN
ejpam-5691	651	10	,	,	PUNCT
ejpam-5691	651	11	t.	t.	NOUN
ejpam-5691	651	12	hayat	hayat	PROPN
ejpam-5691	651	13	,	,	PUNCT
ejpam-5691	651	14	and	and	CCONJ
ejpam-5691	651	15	a.	a.	NOUN
ejpam-5691	651	16	alsaedi	alsaedi	PROPN
ejpam-5691	651	17	.	.	PUNCT
ejpam-5691	652	1	bipolar	bipolar	ADJ
ejpam-5691	652	2	fuzzy	fuzzy	ADJ
ejpam-5691	652	3	hamacher	hamacher	NOUN
ejpam-5691	652	4	aggregation	aggregation	NOUN
ejpam-5691	652	5	operators	operator	NOUN
ejpam-5691	652	6	in	in	ADP
ejpam-5691	652	7	multiple	multiple	ADJ
ejpam-5691	652	8	attribute	attribute	NOUN
ejpam-5691	652	9	decision	decision	NOUN
ejpam-5691	652	10	making	making	NOUN
ejpam-5691	652	11	.	.	PUNCT
ejpam-5691	653	1	int	int	NOUN
ejpam-5691	653	2	.	.	PUNCT
ejpam-5691	654	1	j.	j.	PROPN
ejpam-5691	654	2	fuzzy	fuzzy	PROPN
ejpam-5691	654	3	syst	syst	PROPN
ejpam-5691	654	4	.	.	PUNCT
ejpam-5691	654	5	,	,	PUNCT
ejpam-5691	654	6	20:1–12	20:1–12	NUM
ejpam-5691	654	7	,	,	PUNCT
ejpam-5691	654	8	2018	2018	NUM
ejpam-5691	654	9	.	.	PUNCT
ejpam-5691	655	1	[	[	X
ejpam-5691	655	2	40	40	NUM
ejpam-5691	655	3	]	]	PUNCT
ejpam-5691	655	4	g.	g.	PROPN
ejpam-5691	655	5	w.	w.	PROPN
ejpam-5691	655	6	wei	wei	PROPN
ejpam-5691	655	7	.	.	PUNCT
ejpam-5691	656	1	pythagorean	pythagorean	PROPN
ejpam-5691	656	2	fuzzy	fuzzy	ADJ
ejpam-5691	656	3	hamacher	hamacher	PROPN
ejpam-5691	656	4	power	power	NOUN
ejpam-5691	656	5	aggregation	aggregation	NOUN
ejpam-5691	656	6	operators	operator	NOUN
ejpam-5691	656	7	in	in	ADP
ejpam-5691	656	8	multiple	multiple	ADJ
ejpam-5691	656	9	attribute	attribute	NOUN
ejpam-5691	656	10	decision	decision	NOUN
ejpam-5691	656	11	making	making	NOUN
ejpam-5691	656	12	.	.	PUNCT
ejpam-5691	657	1	fundam	fundam	ADJ
ejpam-5691	657	2	.	.	PUNCT
ejpam-5691	657	3	inform	inform	NOUN
ejpam-5691	657	4	.	.	PUNCT
ejpam-5691	657	5	,	,	PUNCT
ejpam-5691	657	6	167(1):57–85	167(1):57–85	ADV
ejpam-5691	657	7	,	,	PUNCT
ejpam-5691	657	8	2019	2019	NUM
ejpam-5691	657	9	.	.	PUNCT
ejpam-5691	658	1	[	[	X
ejpam-5691	658	2	41	41	NUM
ejpam-5691	658	3	]	]	PUNCT
ejpam-5691	658	4	m.	m.	NOUN
ejpam-5691	658	5	h.	h.	PROPN
ejpam-5691	658	6	wong	wong	PROPN
ejpam-5691	658	7	,	,	PUNCT
ejpam-5691	658	8	s.	s.	PROPN
ejpam-5691	658	9	h.	h.	PROPN
ejpam-5691	658	10	wu	wu	PROPN
ejpam-5691	658	11	,	,	PUNCT
ejpam-5691	658	12	and	and	CCONJ
ejpam-5691	658	13	w.	w.	PROPN
ejpam-5691	658	14	j.	j.	PROPN
ejpam-5691	658	15	deng	deng	PROPN
ejpam-5691	658	16	.	.	PUNCT
ejpam-5691	659	1	export	export	NOUN
ejpam-5691	659	2	of	of	ADP
ejpam-5691	659	3	toxic	toxic	ADJ
ejpam-5691	659	4	chemicals	chemical	NOUN
ejpam-5691	659	5	—	—	PUNCT
ejpam-5691	659	6	a	a	DET
ejpam-5691	659	7	review	review	NOUN
ejpam-5691	659	8	of	of	ADP
ejpam-5691	659	9	the	the	DET
ejpam-5691	659	10	case	case	NOUN
ejpam-5691	659	11	of	of	ADP
ejpam-5691	659	12	uncontrolled	uncontrolled	ADJ
ejpam-5691	659	13	electronic	electronic	ADJ
ejpam-5691	659	14	-	-	PUNCT
ejpam-5691	659	15	waste	waste	NOUN
ejpam-5691	659	16	recycling	recycling	NOUN
ejpam-5691	659	17	.	.	PUNCT
ejpam-5691	660	1	environ	environ	PROPN
ejpam-5691	660	2	.	.	PROPN
ejpam-5691	660	3	pollut	pollut	PROPN
ejpam-5691	660	4	.	.	PROPN
ejpam-5691	660	5	,	,	PUNCT
ejpam-5691	660	6	149:131–140	149:131–140	NUM
ejpam-5691	660	7	,	,	PUNCT
ejpam-5691	660	8	2007	2007	NUM
ejpam-5691	660	9	.	.	PUNCT
ejpam-5691	661	1	[	[	X
ejpam-5691	661	2	42	42	NUM
ejpam-5691	661	3	]	]	PUNCT
ejpam-5691	661	4	s.	s.	PROPN
ejpam-5691	661	5	j.	j.	PROPN
ejpam-5691	661	6	wu	wu	PROPN
ejpam-5691	661	7	and	and	CCONJ
ejpam-5691	661	8	g.	g.	PROPN
ejpam-5691	661	9	w.	w.	PROPN
ejpam-5691	661	10	wei	wei	PROPN
ejpam-5691	661	11	.	.	PUNCT
ejpam-5691	662	1	pythagorean	pythagorean	PROPN
ejpam-5691	662	2	fuzzy	fuzzy	ADJ
ejpam-5691	662	3	hamacher	hamacher	NOUN
ejpam-5691	662	4	aggregation	aggregation	NOUN
ejpam-5691	662	5	operators	operator	NOUN
ejpam-5691	662	6	and	and	CCONJ
ejpam-5691	662	7	their	their	PRON
ejpam-5691	662	8	application	application	NOUN
ejpam-5691	662	9	to	to	ADP
ejpam-5691	662	10	multiple	multiple	ADJ
ejpam-5691	662	11	attribute	attribute	NOUN
ejpam-5691	662	12	decision	decision	NOUN
ejpam-5691	662	13	making	making	NOUN
ejpam-5691	662	14	.	.	PUNCT
ejpam-5691	663	1	int	int	NOUN
ejpam-5691	663	2	.	.	PUNCT
ejpam-5691	664	1	j.	j.	PROPN
ejpam-5691	664	2	knowl	knowl	PROPN
ejpam-5691	664	3	.	.	PUNCT
ejpam-5691	665	1	based	base	VERB
ejpam-5691	665	2	intell	intell	PROPN
ejpam-5691	665	3	.	.	PUNCT
ejpam-5691	666	1	eng	eng	PROPN
ejpam-5691	666	2	.	.	PUNCT
ejpam-5691	666	3	syst	syst	PROPN
ejpam-5691	666	4	.	.	PUNCT
ejpam-5691	666	5	,	,	PUNCT
ejpam-5691	666	6	21(3):189–201	21(3):189–201	NOUN
ejpam-5691	666	7	,	,	PUNCT
ejpam-5691	666	8	2017	2017	NUM
ejpam-5691	666	9	.	.	PUNCT
ejpam-5691	667	1	[	[	X
ejpam-5691	667	2	43	43	NUM
ejpam-5691	667	3	]	]	X
ejpam-5691	667	4	c.	c.	PROPN
ejpam-5691	667	5	xu	xu	PROPN
ejpam-5691	667	6	and	and	CCONJ
ejpam-5691	667	7	j.	j.	PROPN
ejpam-5691	667	8	shen	shen	PROPN
ejpam-5691	667	9	.	.	PUNCT
ejpam-5691	668	1	multi	multi	ADJ
ejpam-5691	668	2	-	-	ADJ
ejpam-5691	668	3	criteria	criterion	NOUN
ejpam-5691	668	4	decision	decision	NOUN
ejpam-5691	668	5	making	making	NOUN
ejpam-5691	668	6	and	and	CCONJ
ejpam-5691	668	7	pattern	pattern	NOUN
ejpam-5691	668	8	recognition	recognition	NOUN
ejpam-5691	668	9	based	base	VERB
ejpam-5691	668	10	on	on	ADP
ejpam-5691	668	11	similarity	similarity	NOUN
ejpam-5691	668	12	measures	measure	NOUN
ejpam-5691	668	13	for	for	ADP
ejpam-5691	668	14	fermatean	fermatean	ADJ
ejpam-5691	668	15	fuzzy	fuzzy	ADJ
ejpam-5691	668	16	sets	set	NOUN
ejpam-5691	668	17	.	.	PUNCT
ejpam-5691	669	1	j.	j.	PROPN
ejpam-5691	669	2	intell	intell	PROPN
ejpam-5691	669	3	.	.	PUNCT
ejpam-5691	670	1	fuzzy	fuzzy	ADJ
ejpam-5691	670	2	syst	syst	PROPN
ejpam-5691	670	3	.	.	PUNCT
ejpam-5691	670	4	,	,	PUNCT
ejpam-5691	670	5	pages	page	NOUN
ejpam-5691	670	6	1–17	1–17	PROPN
ejpam-5691	670	7	,	,	PUNCT
ejpam-5691	670	8	2021	2021	NUM
ejpam-5691	670	9	.	.	PUNCT
ejpam-5691	671	1	[	[	X
ejpam-5691	671	2	44	44	NUM
ejpam-5691	671	3	]	]	PUNCT
ejpam-5691	671	4	r.	r.	PROPN
ejpam-5691	671	5	r.	r.	PROPN
ejpam-5691	671	6	yager	yager	PROPN
ejpam-5691	671	7	.	.	PUNCT
ejpam-5691	672	1	pythagorean	pythagorean	PROPN
ejpam-5691	672	2	membership	membership	NOUN
ejpam-5691	672	3	grades	grade	NOUN
ejpam-5691	672	4	in	in	ADP
ejpam-5691	672	5	multi	multi	ADJ
ejpam-5691	672	6	-	-	ADJ
ejpam-5691	672	7	criteria	criteria	ADJ
ejpam-5691	672	8	decision	decision	NOUN
ejpam-5691	672	9	making	making	NOUN
ejpam-5691	672	10	.	.	PUNCT
ejpam-5691	673	1	ieee	ieee	PROPN
ejpam-5691	673	2	trans	trans	PROPN
ejpam-5691	673	3	.	.	PUNCT
ejpam-5691	673	4	fuzzy	fuzzy	ADJ
ejpam-5691	673	5	syst	syst	PROPN
ejpam-5691	673	6	.	.	PROPN
ejpam-5691	673	7	,	,	PUNCT
ejpam-5691	673	8	22(4):958–965	22(4):958–965	PROPN
ejpam-5691	673	9	,	,	PUNCT
ejpam-5691	673	10	2014	2014	NUM
ejpam-5691	673	11	.	.	PUNCT
ejpam-5691	674	1	[	[	X
ejpam-5691	674	2	45	45	NUM
ejpam-5691	674	3	]	]	PUNCT
ejpam-5691	674	4	r.	r.	PROPN
ejpam-5691	674	5	r.	r.	PROPN
ejpam-5691	674	6	yager	yager	PROPN
ejpam-5691	674	7	.	.	PUNCT
ejpam-5691	675	1	generalized	generalized	ADJ
ejpam-5691	675	2	orthopair	orthopair	ADJ
ejpam-5691	675	3	fuzzy	fuzzy	ADJ
ejpam-5691	675	4	sets	set	NOUN
ejpam-5691	675	5	.	.	PUNCT
ejpam-5691	676	1	ieee	ieee	PROPN
ejpam-5691	676	2	trans	trans	PROPN
ejpam-5691	676	3	.	.	PUNCT
ejpam-5691	676	4	fuzzy	fuzzy	ADJ
ejpam-5691	676	5	syst	syst	PROPN
ejpam-5691	676	6	.	.	PUNCT
ejpam-5691	676	7	,	,	PUNCT
ejpam-5691	676	8	25(5):1222	25(5):1222	NUM
ejpam-5691	676	9	–	–	PUNCT
ejpam-5691	676	10	1230	1230	NUM
ejpam-5691	676	11	,	,	PUNCT
ejpam-5691	676	12	2017	2017	NUM
ejpam-5691	676	13	.	.	PUNCT
ejpam-5691	677	1	[	[	X
ejpam-5691	677	2	46	46	NUM
ejpam-5691	677	3	]	]	X
ejpam-5691	677	4	j.	j.	PROPN
ejpam-5691	677	5	yu	yu	PROPN
ejpam-5691	677	6	,	,	PUNCT
ejpam-5691	677	7	i.	i.	PROPN
ejpam-5691	677	8	williams	williams	PROPN
ejpam-5691	677	9	,	,	PUNCT
ejpam-5691	677	10	and	and	CCONJ
ejpam-5691	677	11	m.	m.	PROPN
ejpam-5691	677	12	ju	ju	PROPN
ejpam-5691	677	13	.	.	PUNCT
ejpam-5691	678	1	managing	manage	VERB
ejpam-5691	678	2	e	e	NOUN
ejpam-5691	678	3	-	-	NOUN
ejpam-5691	678	4	waste	waste	NOUN
ejpam-5691	678	5	in	in	ADP
ejpam-5691	678	6	china	china	PROPN
ejpam-5691	678	7	:	:	PUNCT
ejpam-5691	678	8	policies	policy	NOUN
ejpam-5691	678	9	,	,	PUNCT
ejpam-5691	678	10	pilot	pilot	NOUN
ejpam-5691	678	11	projects	project	NOUN
ejpam-5691	678	12	and	and	CCONJ
ejpam-5691	678	13	alternative	alternative	ADJ
ejpam-5691	678	14	approaches	approach	NOUN
ejpam-5691	678	15	.	.	PUNCT
ejpam-5691	679	1	resour	resour	NOUN
ejpam-5691	679	2	.	.	PUNCT
ejpam-5691	680	1	conserv	conserv	PROPN
ejpam-5691	680	2	.	.	PUNCT
ejpam-5691	681	1	recycl	recycl	PROPN
ejpam-5691	681	2	.	.	PROPN
ejpam-5691	681	3	,	,	PUNCT
ejpam-5691	681	4	54(11):991–999	54(11):991–999	NUM
ejpam-5691	681	5	,	,	PUNCT
ejpam-5691	681	6	2010	2010	NUM
ejpam-5691	681	7	.	.	PUNCT
ejpam-5691	682	1	[	[	X
ejpam-5691	682	2	47	47	NUM
ejpam-5691	682	3	]	]	PUNCT
ejpam-5691	682	4	l.	l.	PROPN
ejpam-5691	682	5	a.	a.	PROPN
ejpam-5691	682	6	zadeh	zadeh	PROPN
ejpam-5691	682	7	.	.	PUNCT
ejpam-5691	683	1	fuzzy	fuzzy	ADJ
ejpam-5691	683	2	sets	set	NOUN
ejpam-5691	683	3	.	.	PUNCT
ejpam-5691	684	1	inf	inf	PROPN
ejpam-5691	684	2	.	.	PUNCT
ejpam-5691	684	3	control	control	PROPN
ejpam-5691	684	4	,	,	PUNCT
ejpam-5691	684	5	8(3):338–353	8(3):338–353	NUM
ejpam-5691	684	6	,	,	PUNCT
ejpam-5691	684	7	1965	1965	NUM
ejpam-5691	684	8	.	.	PUNCT
ejpam-5691	685	1	[	[	X
ejpam-5691	685	2	48	48	NUM
ejpam-5691	685	3	]	]	PUNCT
ejpam-5691	685	4	a.	a.	NOUN
ejpam-5691	685	5	zeb	zeb	PROPN
ejpam-5691	685	6	,	,	PUNCT
ejpam-5691	685	7	w.	w.	PROPN
ejpam-5691	685	8	ahmad	ahmad	PROPN
ejpam-5691	685	9	,	,	PUNCT
ejpam-5691	685	10	m.	m.	NOUN
ejpam-5691	685	11	asif	asif	NOUN
ejpam-5691	685	12	,	,	PUNCT
ejpam-5691	685	13	v.	v.	PROPN
ejpam-5691	685	14	simic	simic	PROPN
ejpam-5691	685	15	,	,	PUNCT
ejpam-5691	685	16	t.	t.	PROPN
ejpam-5691	685	17	senapati	senapati	PROPN
ejpam-5691	685	18	,	,	PUNCT
ejpam-5691	685	19	and	and	CCONJ
ejpam-5691	685	20	m.	m.	PROPN
ejpam-5691	685	21	hou	hou	PROPN
ejpam-5691	685	22	.	.	PUNCT
ejpam-5691	686	1	optimizing	optimize	VERB
ejpam-5691	686	2	decisionmaking	decisionmake	VERB
ejpam-5691	686	3	in	in	ADP
ejpam-5691	686	4	electric	electric	ADJ
ejpam-5691	686	5	power	power	NOUN
ejpam-5691	686	6	system	system	NOUN
ejpam-5691	686	7	selection	selection	NOUN
ejpam-5691	686	8	:	:	PUNCT
ejpam-5691	686	9	a	a	DET
ejpam-5691	686	10	generalized	generalized	ADJ
ejpam-5691	686	11	approach	approach	NOUN
ejpam-5691	686	12	based	base	VERB
ejpam-5691	686	13	on	on	ADP
ejpam-5691	686	14	hamacher	hamacher	NOUN
ejpam-5691	686	15	aggregation	aggregation	NOUN
ejpam-5691	686	16	operators	operator	NOUN
ejpam-5691	686	17	for	for	ADP
ejpam-5691	686	18	q	q	ADJ
ejpam-5691	686	19	-	-	PUNCT
ejpam-5691	686	20	rung	rung	ADJ
ejpam-5691	686	21	orthopair	orthopair	ADJ
ejpam-5691	686	22	fuzzy	fuzzy	ADJ
ejpam-5691	686	23	soft	soft	ADJ
ejpam-5691	686	24	sets	set	NOUN
ejpam-5691	686	25	.	.	PUNCT
ejpam-5691	687	1	appl	appl	PROPN
ejpam-5691	687	2	.	.	PUNCT
ejpam-5691	688	1	energy	energy	NOUN
ejpam-5691	688	2	,	,	PUNCT
ejpam-5691	688	3	367:123405	367:123405	NUM
ejpam-5691	688	4	,	,	PUNCT
ejpam-5691	688	5	2024	2024	NUM
ejpam-5691	688	6	.	.	PUNCT
ejpam-5691	689	1	[	[	X
ejpam-5691	689	2	49	49	NUM
ejpam-5691	689	3	]	]	PUNCT
ejpam-5691	689	4	w.	w.	PROPN
ejpam-5691	689	5	r.	r.	PROPN
ejpam-5691	689	6	zhang	zhang	PROPN
ejpam-5691	689	7	.	.	PUNCT
ejpam-5691	690	1	bipolar	bipolar	ADJ
ejpam-5691	690	2	fuzzy	fuzzy	ADJ
ejpam-5691	690	3	sets	set	NOUN
ejpam-5691	690	4	and	and	CCONJ
ejpam-5691	690	5	relations	relation	NOUN
ejpam-5691	690	6	:	:	PUNCT
ejpam-5691	690	7	a	a	DET
ejpam-5691	690	8	computational	computational	ADJ
ejpam-5691	690	9	framework	framework	NOUN
ejpam-5691	690	10	for	for	ADP
ejpam-5691	690	11	cognia	cognia	NOUN
ejpam-5691	690	12	.	.	PUNCT
ejpam-5691	691	1	fahmi	fahmi	PROPN
ejpam-5691	691	2	et	et	PROPN
ejpam-5691	691	3	al	al	PROPN
ejpam-5691	691	4	.	.	PUNCT
ejpam-5691	691	5	/	/	SYM
ejpam-5691	691	6	eur	eur	PROPN
ejpam-5691	691	7	.	.	PUNCT
ejpam-5691	692	1	j.	j.	PROPN
ejpam-5691	692	2	pure	pure	PROPN
ejpam-5691	692	3	appl	appl	PROPN
ejpam-5691	692	4	.	.	PROPN
ejpam-5691	692	5	math	math	PROPN
ejpam-5691	692	6	,	,	PUNCT
ejpam-5691	692	7	18	18	NUM
ejpam-5691	692	8	(	(	PUNCT
ejpam-5691	692	9	1	1	NUM
ejpam-5691	692	10	)	)	PUNCT
ejpam-5691	692	11	(	(	PUNCT
ejpam-5691	692	12	2025	2025	NUM
ejpam-5691	692	13	)	)	PUNCT
ejpam-5691	692	14	,	,	PUNCT
ejpam-5691	692	15	5691	5691	NUM
ejpam-5691	692	16	32	32	NUM
ejpam-5691	692	17	of	of	ADP
ejpam-5691	692	18	32	32	NUM
ejpam-5691	692	19	tive	tive	NOUN
ejpam-5691	692	20	modelling	modelling	NOUN
ejpam-5691	692	21	and	and	CCONJ
ejpam-5691	692	22	multiagent	multiagent	ADJ
ejpam-5691	692	23	decision	decision	NOUN
ejpam-5691	692	24	analysis	analysis	NOUN
ejpam-5691	692	25	.	.	PUNCT
ejpam-5691	693	1	in	in	ADP
ejpam-5691	693	2	proceedings	proceeding	NOUN
ejpam-5691	693	3	of	of	ADP
ejpam-5691	693	4	the	the	DET
ejpam-5691	693	5	ieee	ieee	NOUN
ejpam-5691	693	6	conference	conference	NOUN
ejpam-5691	693	7	,	,	PUNCT
ejpam-5691	693	8	pages	page	NOUN
ejpam-5691	693	9	305–309	305–309	NUM
ejpam-5691	693	10	,	,	PUNCT
ejpam-5691	693	11	1994	1994	NUM
ejpam-5691	693	12	.	.	PUNCT
ejpam-5691	694	1	[	[	X
ejpam-5691	694	2	50	50	NUM
ejpam-5691	694	3	]	]	PUNCT
ejpam-5691	694	4	w.	w.	PROPN
ejpam-5691	694	5	r.	r.	PROPN
ejpam-5691	694	6	zhang	zhang	PROPN
ejpam-5691	694	7	.	.	PUNCT
ejpam-5691	695	1	bipolar	bipolar	ADJ
ejpam-5691	695	2	fuzzy	fuzzy	ADJ
ejpam-5691	695	3	sets	set	NOUN
ejpam-5691	695	4	.	.	PUNCT
ejpam-5691	696	1	in	in	ADP
ejpam-5691	696	2	proceedings	proceeding	NOUN
ejpam-5691	696	3	of	of	ADP
ejpam-5691	696	4	fuzzy	fuzzy	ADJ
ejpam-5691	696	5	ieee	ieee	NOUN
ejpam-5691	696	6	,	,	PUNCT
ejpam-5691	696	7	pages	page	NOUN
ejpam-5691	696	8	835–840	835–840	NUM
ejpam-5691	696	9	,	,	PUNCT
ejpam-5691	696	10	1998	1998	NUM
ejpam-5691	696	11	.	.	PUNCT
ejpam-5691	697	1	[	[	X
ejpam-5691	697	2	51	51	NUM
ejpam-5691	697	3	]	]	PUNCT
ejpam-5691	697	4	x.	x.	NOUN
ejpam-5691	697	5	zhao	zhao	PROPN
ejpam-5691	697	6	and	and	CCONJ
ejpam-5691	697	7	g.	g.	PROPN
ejpam-5691	697	8	wei	wei	PROPN
ejpam-5691	697	9	.	.	PUNCT
ejpam-5691	698	1	some	some	DET
ejpam-5691	698	2	intuitionistic	intuitionistic	ADJ
ejpam-5691	698	3	fuzzy	fuzzy	ADJ
ejpam-5691	698	4	einstein	einstein	ADJ
ejpam-5691	698	5	hybrid	hybrid	NOUN
ejpam-5691	698	6	aggregation	aggregation	NOUN
ejpam-5691	698	7	operators	operator	NOUN
ejpam-5691	698	8	and	and	CCONJ
ejpam-5691	698	9	their	their	PRON
ejpam-5691	698	10	application	application	NOUN
ejpam-5691	698	11	to	to	ADP
ejpam-5691	698	12	multiple	multiple	ADJ
ejpam-5691	698	13	attribute	attribute	NOUN
ejpam-5691	698	14	decision	decision	NOUN
ejpam-5691	698	15	making	making	NOUN
ejpam-5691	698	16	.	.	PUNCT
ejpam-5691	699	1	knowl	knowl	PROPN
ejpam-5691	699	2	.	.	PUNCT
ejpam-5691	700	1	based	base	VERB
ejpam-5691	700	2	syst	syst	PROPN
ejpam-5691	700	3	.	.	PUNCT
ejpam-5691	700	4	,	,	PUNCT
ejpam-5691	700	5	37:472–479	37:472–479	NUM
ejpam-5691	700	6	,	,	PUNCT
ejpam-5691	700	7	2013	2013	NUM
ejpam-5691	700	8	.	.	PUNCT