id	sid	tid	token	lemma	pos
ejpam-6227	1	1	european	european	PROPN
ejpam-6227	1	2	journal	journal	PROPN
ejpam-6227	1	3	of	of	ADP
ejpam-6227	1	4	pure	pure	ADJ
ejpam-6227	1	5	and	and	CCONJ
ejpam-6227	1	6	applied	applied	ADJ
ejpam-6227	1	7	mathematics	mathematic	NOUN
ejpam-6227	1	8	2025	2025	NUM
ejpam-6227	1	9	,	,	PUNCT
ejpam-6227	1	10	vol	vol	NOUN
ejpam-6227	1	11	.	.	PROPN
ejpam-6227	1	12	18	18	NUM
ejpam-6227	1	13	,	,	PUNCT
ejpam-6227	1	14	issue	issue	NOUN
ejpam-6227	1	15	3	3	NUM
ejpam-6227	1	16	,	,	PUNCT
ejpam-6227	1	17	article	article	NOUN
ejpam-6227	1	18	number	number	NOUN
ejpam-6227	1	19	6227	6227	NUM
ejpam-6227	1	20	issn	issn	PROPN
ejpam-6227	1	21	1307	1307	NUM
ejpam-6227	1	22	-	-	SYM
ejpam-6227	1	23	5543	5543	NUM
ejpam-6227	1	24	–	–	PUNCT
ejpam-6227	1	25	ejpam.com	ejpam.com	X
ejpam-6227	1	26	published	publish	VERB
ejpam-6227	1	27	by	by	ADP
ejpam-6227	1	28	new	new	PROPN
ejpam-6227	1	29	york	york	PROPN
ejpam-6227	1	30	business	business	PROPN
ejpam-6227	1	31	global	global	PROPN
ejpam-6227	1	32	triangular	triangular	PROPN
ejpam-6227	1	33	intuitionistic	intuitionistic	ADJ
ejpam-6227	1	34	fuzzy	fuzzy	ADJ
ejpam-6227	1	35	frank	frank	ADJ
ejpam-6227	1	36	aggregation	aggregation	NOUN
ejpam-6227	1	37	for	for	ADP
ejpam-6227	1	38	efficient	efficient	ADJ
ejpam-6227	1	39	renewable	renewable	ADJ
ejpam-6227	1	40	energy	energy	NOUN
ejpam-6227	1	41	project	project	NOUN
ejpam-6227	1	42	selection	selection	NOUN
ejpam-6227	1	43	a.	a.	NOUN
ejpam-6227	1	44	fahmi1	fahmi1	PROPN
ejpam-6227	1	45	,	,	PUNCT
ejpam-6227	1	46	a.	a.	PROPN
ejpam-6227	1	47	hashmi2	hashmi2	PROPN
ejpam-6227	1	48	,	,	PUNCT
ejpam-6227	1	49	aziz	aziz	PROPN
ejpam-6227	1	50	khan3	khan3	PROPN
ejpam-6227	1	51	,	,	PUNCT
ejpam-6227	1	52	aiman	aiman	PROPN
ejpam-6227	1	53	mukheimer3	mukheimer3	PROPN
ejpam-6227	1	54	,	,	PUNCT
ejpam-6227	1	55	thabet	thabet	ADJ
ejpam-6227	1	56	abdeljawad3,5,∗	abdeljawad3,5,∗	PROPN
ejpam-6227	1	57	,	,	PUNCT
ejpam-6227	1	58	rajermani	rajermani	X
ejpam-6227	1	59	thinakaran4	thinakaran4	NOUN
ejpam-6227	1	60	1	1	NUM
ejpam-6227	1	61	department	department	NOUN
ejpam-6227	1	62	of	of	ADP
ejpam-6227	1	63	mathematics	mathematic	NOUN
ejpam-6227	1	64	and	and	CCONJ
ejpam-6227	1	65	statistics	statistic	NOUN
ejpam-6227	1	66	,	,	PUNCT
ejpam-6227	1	67	faculty	faculty	NOUN
ejpam-6227	1	68	of	of	ADP
ejpam-6227	1	69	sciences	science	NOUN
ejpam-6227	1	70	,	,	PUNCT
ejpam-6227	1	71	the	the	DET
ejpam-6227	1	72	university	university	NOUN
ejpam-6227	1	73	of	of	ADP
ejpam-6227	1	74	faisalabad	faisalabad	PROPN
ejpam-6227	1	75	,	,	PUNCT
ejpam-6227	1	76	pakistan	pakistan	PROPN
ejpam-6227	1	77	2	2	NUM
ejpam-6227	1	78	faculty	faculty	NOUN
ejpam-6227	1	79	of	of	ADP
ejpam-6227	1	80	management	management	NOUN
ejpam-6227	1	81	sciences	science	NOUN
ejpam-6227	1	82	,	,	PUNCT
ejpam-6227	1	83	the	the	DET
ejpam-6227	1	84	university	university	NOUN
ejpam-6227	1	85	of	of	ADP
ejpam-6227	1	86	central	central	PROPN
ejpam-6227	1	87	punjab	punjab	PROPN
ejpam-6227	1	88	,	,	PUNCT
ejpam-6227	1	89	lahore	lahore	PROPN
ejpam-6227	1	90	city	city	NOUN
ejpam-6227	1	91	,	,	PUNCT
ejpam-6227	1	92	pakistan	pakistan	PROPN
ejpam-6227	1	93	3	3	NUM
ejpam-6227	1	94	department	department	NOUN
ejpam-6227	1	95	of	of	ADP
ejpam-6227	1	96	mathematics	mathematic	NOUN
ejpam-6227	1	97	and	and	CCONJ
ejpam-6227	1	98	sciences	science	NOUN
ejpam-6227	1	99	,	,	PUNCT
ejpam-6227	1	100	prince	prince	PROPN
ejpam-6227	1	101	sultan	sultan	PROPN
ejpam-6227	1	102	university	university	PROPN
ejpam-6227	1	103	,	,	PUNCT
ejpam-6227	1	104	p.o	p.o	PROPN
ejpam-6227	1	105	.	.	PROPN
ejpam-6227	1	106	box	box	PROPN
ejpam-6227	1	107	66833	66833	NUM
ejpam-6227	1	108	,	,	PUNCT
ejpam-6227	1	109	11586	11586	NUM
ejpam-6227	1	110	riyadh	riyadh	NOUN
ejpam-6227	1	111	,	,	PUNCT
ejpam-6227	1	112	saudi	saudi	PROPN
ejpam-6227	1	113	arabia	arabia	PROPN
ejpam-6227	1	114	4	4	NUM
ejpam-6227	1	115	faculty	faculty	NOUN
ejpam-6227	1	116	of	of	ADP
ejpam-6227	1	117	data	datum	NOUN
ejpam-6227	1	118	science	science	NOUN
ejpam-6227	1	119	and	and	CCONJ
ejpam-6227	1	120	information	information	NOUN
ejpam-6227	1	121	technology	technology	NOUN
ejpam-6227	1	122	,	,	PUNCT
ejpam-6227	1	123	inti	inti	PROPN
ejpam-6227	1	124	international	international	PROPN
ejpam-6227	1	125	university	university	PROPN
ejpam-6227	1	126	,	,	PUNCT
ejpam-6227	1	127	negeri	negeri	PROPN
ejpam-6227	1	128	sembilan	sembilan	PROPN
ejpam-6227	1	129	,	,	PUNCT
ejpam-6227	1	130	malaysia	malaysia	PROPN
ejpam-6227	1	131	5	5	NUM
ejpam-6227	1	132	department	department	NOUN
ejpam-6227	1	133	of	of	ADP
ejpam-6227	1	134	mathematics	mathematic	NOUN
ejpam-6227	1	135	and	and	CCONJ
ejpam-6227	1	136	applied	apply	VERB
ejpam-6227	1	137	mathematics	mathematic	NOUN
ejpam-6227	1	138	sefako	sefako	VERB
ejpam-6227	1	139	makgatho	makgatho	PROPN
ejpam-6227	1	140	health	health	PROPN
ejpam-6227	1	141	sciences	sciences	PROPN
ejpam-6227	1	142	university	university	PROPN
ejpam-6227	1	143	garankuwa	garankuwa	NOUN
ejpam-6227	1	144	,	,	PUNCT
ejpam-6227	1	145	medusa	medusa	NOUN
ejpam-6227	1	146	0204	0204	NUM
ejpam-6227	1	147	,	,	PUNCT
ejpam-6227	1	148	south	south	PROPN
ejpam-6227	1	149	africa	africa	PROPN
ejpam-6227	1	150	abstract	abstract	PROPN
ejpam-6227	1	151	.	.	PUNCT
ejpam-6227	2	1	optimizing	optimize	VERB
ejpam-6227	2	2	renewable	renewable	ADJ
ejpam-6227	2	3	energy	energy	NOUN
ejpam-6227	2	4	project	project	NOUN
ejpam-6227	2	5	selection	selection	NOUN
ejpam-6227	2	6	presents	present	VERB
ejpam-6227	2	7	a	a	DET
ejpam-6227	2	8	complex	complex	ADJ
ejpam-6227	2	9	challenge	challenge	NOUN
ejpam-6227	2	10	that	that	PRON
ejpam-6227	2	11	demands	demand	VERB
ejpam-6227	2	12	intelligent	intelligent	ADJ
ejpam-6227	2	13	decision	decision	NOUN
ejpam-6227	2	14	-	-	PUNCT
ejpam-6227	2	15	making	making	NOUN
ejpam-6227	2	16	under	under	ADP
ejpam-6227	2	17	conditions	condition	NOUN
ejpam-6227	2	18	of	of	ADP
ejpam-6227	2	19	uncertainty	uncertainty	NOUN
ejpam-6227	2	20	.	.	PUNCT
ejpam-6227	3	1	in	in	ADP
ejpam-6227	3	2	multi	multi	ADJ
ejpam-6227	3	3	-	-	ADJ
ejpam-6227	3	4	criteria	criterion	NOUN
ejpam-6227	3	5	decision	decision	NOUN
ejpam-6227	3	6	-	-	PUNCT
ejpam-6227	3	7	making	making	NOUN
ejpam-6227	3	8	(	(	PUNCT
ejpam-6227	3	9	mcdm	mcdm	ADJ
ejpam-6227	3	10	)	)	PUNCT
ejpam-6227	3	11	,	,	PUNCT
ejpam-6227	3	12	the	the	DET
ejpam-6227	3	13	need	need	NOUN
ejpam-6227	3	14	to	to	PART
ejpam-6227	3	15	balance	balance	VERB
ejpam-6227	3	16	numerous	numerous	ADJ
ejpam-6227	3	17	conflicting	conflicting	ADJ
ejpam-6227	3	18	factors	factor	NOUN
ejpam-6227	3	19	makes	make	VERB
ejpam-6227	3	20	these	these	DET
ejpam-6227	3	21	techniques	technique	NOUN
ejpam-6227	3	22	invaluable	invaluable	ADJ
ejpam-6227	3	23	for	for	ADP
ejpam-6227	3	24	effective	effective	ADJ
ejpam-6227	3	25	project	project	NOUN
ejpam-6227	3	26	evaluation	evaluation	NOUN
ejpam-6227	3	27	and	and	CCONJ
ejpam-6227	3	28	selection	selection	NOUN
ejpam-6227	3	29	.	.	PUNCT
ejpam-6227	4	1	this	this	DET
ejpam-6227	4	2	paper	paper	NOUN
ejpam-6227	4	3	introduces	introduce	VERB
ejpam-6227	4	4	a	a	DET
ejpam-6227	4	5	novel	novel	ADJ
ejpam-6227	4	6	triangular	triangular	NOUN
ejpam-6227	4	7	intuitionistic	intuitionistic	ADJ
ejpam-6227	4	8	fuzzy	fuzzy	ADJ
ejpam-6227	4	9	frank	frank	PROPN
ejpam-6227	4	10	(	(	PUNCT
ejpam-6227	4	11	tiff	tiff	NOUN
ejpam-6227	4	12	)	)	PUNCT
ejpam-6227	4	13	framework	framework	NOUN
ejpam-6227	4	14	,	,	PUNCT
ejpam-6227	4	15	which	which	PRON
ejpam-6227	4	16	integrates	integrate	VERB
ejpam-6227	4	17	triangular	triangular	NOUN
ejpam-6227	4	18	intuitionistic	intuitionistic	ADJ
ejpam-6227	4	19	fuzzy	fuzzy	ADJ
ejpam-6227	4	20	averaging	averaging	NOUN
ejpam-6227	4	21	and	and	CCONJ
ejpam-6227	4	22	geometric	geometric	ADJ
ejpam-6227	4	23	aggregation	aggregation	NOUN
ejpam-6227	4	24	operators	operator	NOUN
ejpam-6227	4	25	to	to	PART
ejpam-6227	4	26	enhance	enhance	VERB
ejpam-6227	4	27	decision	decision	NOUN
ejpam-6227	4	28	-	-	PUNCT
ejpam-6227	4	29	making	making	NOUN
ejpam-6227	4	30	in	in	ADP
ejpam-6227	4	31	renewable	renewable	ADJ
ejpam-6227	4	32	energy	energy	NOUN
ejpam-6227	4	33	project	project	NOUN
ejpam-6227	4	34	assessment	assessment	NOUN
ejpam-6227	4	35	.	.	PUNCT
ejpam-6227	5	1	we	we	PRON
ejpam-6227	5	2	develop	develop	VERB
ejpam-6227	5	3	several	several	ADJ
ejpam-6227	5	4	new	new	ADJ
ejpam-6227	5	5	aggregation	aggregation	NOUN
ejpam-6227	5	6	operators	operator	NOUN
ejpam-6227	5	7	,	,	PUNCT
ejpam-6227	5	8	including	include	VERB
ejpam-6227	5	9	:	:	PUNCT
ejpam-6227	5	10	triangular	triangular	NOUN
ejpam-6227	5	11	intuitionistic	intuitionistic	ADJ
ejpam-6227	5	12	fuzzy	fuzzy	ADJ
ejpam-6227	5	13	frank	frank	PROPN
ejpam-6227	5	14	weighted	weighted	ADJ
ejpam-6227	5	15	averaging	averaging	NOUN
ejpam-6227	5	16	(	(	PUNCT
ejpam-6227	5	17	tiffwa	tiffwa	NOUN
ejpam-6227	5	18	)	)	PUNCT
ejpam-6227	5	19	,	,	PUNCT
ejpam-6227	5	20	ordered	order	VERB
ejpam-6227	5	21	weighted	weighted	ADJ
ejpam-6227	5	22	averaging	average	VERB
ejpam-6227	5	23	(	(	PUNCT
ejpam-6227	5	24	tiffowa	tiffowa	ADJ
ejpam-6227	5	25	)	)	PUNCT
ejpam-6227	5	26	,	,	PUNCT
ejpam-6227	5	27	hybrid	hybrid	ADJ
ejpam-6227	5	28	averaging	averaging	NOUN
ejpam-6227	5	29	(	(	PUNCT
ejpam-6227	5	30	tiffha	tiffha	NOUN
ejpam-6227	5	31	)	)	PUNCT
ejpam-6227	5	32	,	,	PUNCT
ejpam-6227	5	33	weighted	weight	VERB
ejpam-6227	5	34	geometric	geometric	ADJ
ejpam-6227	5	35	(	(	PUNCT
ejpam-6227	5	36	tiffwg	tiffwg	NOUN
ejpam-6227	5	37	)	)	PUNCT
ejpam-6227	5	38	,	,	PUNCT
ejpam-6227	5	39	ordered	order	VERB
ejpam-6227	5	40	weighted	weight	VERB
ejpam-6227	5	41	geometric	geometric	ADJ
ejpam-6227	5	42	(	(	PUNCT
ejpam-6227	5	43	tiffowg	tiffowg	NOUN
ejpam-6227	5	44	)	)	PUNCT
ejpam-6227	5	45	,	,	PUNCT
ejpam-6227	5	46	and	and	CCONJ
ejpam-6227	5	47	hybrid	hybrid	ADJ
ejpam-6227	5	48	geometric	geometric	ADJ
ejpam-6227	5	49	(	(	PUNCT
ejpam-6227	5	50	tiffhg	tiffhg	ADJ
ejpam-6227	5	51	)	)	PUNCT
ejpam-6227	5	52	.	.	PUNCT
ejpam-6227	6	1	these	these	DET
ejpam-6227	6	2	operators	operator	NOUN
ejpam-6227	6	3	,	,	PUNCT
ejpam-6227	6	4	built	build	VERB
ejpam-6227	6	5	upon	upon	SCONJ
ejpam-6227	6	6	the	the	DET
ejpam-6227	6	7	frank	frank	PROPN
ejpam-6227	6	8	t	t	PROPN
ejpam-6227	6	9	-	-	PUNCT
ejpam-6227	6	10	norm	norm	NOUN
ejpam-6227	6	11	and	and	CCONJ
ejpam-6227	6	12	t	t	NOUN
ejpam-6227	6	13	-	-	PUNCT
ejpam-6227	6	14	conorm	conorm	NOUN
ejpam-6227	6	15	,	,	PUNCT
ejpam-6227	6	16	enable	enable	VERB
ejpam-6227	6	17	more	more	ADV
ejpam-6227	6	18	accurate	accurate	ADJ
ejpam-6227	6	19	and	and	CCONJ
ejpam-6227	6	20	adaptive	adaptive	ADJ
ejpam-6227	6	21	evaluations	evaluation	NOUN
ejpam-6227	6	22	by	by	ADP
ejpam-6227	6	23	effectively	effectively	ADV
ejpam-6227	6	24	managing	manage	VERB
ejpam-6227	6	25	varying	vary	VERB
ejpam-6227	6	26	levels	level	NOUN
ejpam-6227	6	27	of	of	ADP
ejpam-6227	6	28	uncertainty	uncertainty	NOUN
ejpam-6227	6	29	.	.	PUNCT
ejpam-6227	7	1	in	in	ADP
ejpam-6227	7	2	addition	addition	NOUN
ejpam-6227	7	3	,	,	PUNCT
ejpam-6227	7	4	novel	novel	ADJ
ejpam-6227	7	5	scoring	scoring	NOUN
ejpam-6227	7	6	and	and	CCONJ
ejpam-6227	7	7	precision	precision	NOUN
ejpam-6227	7	8	functions	function	NOUN
ejpam-6227	7	9	are	be	AUX
ejpam-6227	7	10	introduced	introduce	VERB
ejpam-6227	7	11	to	to	PART
ejpam-6227	7	12	further	far	ADV
ejpam-6227	7	13	refine	refine	VERB
ejpam-6227	7	14	the	the	DET
ejpam-6227	7	15	decision	decision	NOUN
ejpam-6227	7	16	-	-	PUNCT
ejpam-6227	7	17	making	make	VERB
ejpam-6227	7	18	process	process	NOUN
ejpam-6227	7	19	,	,	PUNCT
ejpam-6227	7	20	yielding	yield	VERB
ejpam-6227	7	21	more	more	ADV
ejpam-6227	7	22	reliable	reliable	ADJ
ejpam-6227	7	23	outcomes	outcome	NOUN
ejpam-6227	7	24	.	.	PUNCT
ejpam-6227	8	1	a	a	DET
ejpam-6227	8	2	step	step	NOUN
ejpam-6227	8	3	-	-	PUNCT
ejpam-6227	8	4	by	by	ADP
ejpam-6227	8	5	-	-	PUNCT
ejpam-6227	8	6	step	step	NOUN
ejpam-6227	8	7	methodology	methodology	NOUN
ejpam-6227	8	8	is	be	AUX
ejpam-6227	8	9	presented	present	VERB
ejpam-6227	8	10	for	for	ADP
ejpam-6227	8	11	applying	apply	VERB
ejpam-6227	8	12	the	the	DET
ejpam-6227	8	13	tiff	tiff	NOUN
ejpam-6227	8	14	approach	approach	NOUN
ejpam-6227	8	15	to	to	ADP
ejpam-6227	8	16	renewable	renewable	ADJ
ejpam-6227	8	17	energy	energy	NOUN
ejpam-6227	8	18	project	project	NOUN
ejpam-6227	8	19	selection	selection	NOUN
ejpam-6227	8	20	,	,	PUNCT
ejpam-6227	8	21	providing	provide	VERB
ejpam-6227	8	22	clear	clear	ADJ
ejpam-6227	8	23	guidance	guidance	NOUN
ejpam-6227	8	24	for	for	ADP
ejpam-6227	8	25	practical	practical	ADJ
ejpam-6227	8	26	implementation	implementation	NOUN
ejpam-6227	8	27	.	.	PUNCT
ejpam-6227	9	1	to	to	PART
ejpam-6227	9	2	validate	validate	VERB
ejpam-6227	9	3	the	the	DET
ejpam-6227	9	4	method	method	NOUN
ejpam-6227	9	5	,	,	PUNCT
ejpam-6227	9	6	a	a	DET
ejpam-6227	9	7	numerical	numerical	ADJ
ejpam-6227	9	8	case	case	NOUN
ejpam-6227	9	9	study	study	NOUN
ejpam-6227	9	10	is	be	AUX
ejpam-6227	9	11	conducted	conduct	VERB
ejpam-6227	9	12	,	,	PUNCT
ejpam-6227	9	13	demonstrating	demonstrate	VERB
ejpam-6227	9	14	the	the	DET
ejpam-6227	9	15	superior	superior	ADJ
ejpam-6227	9	16	performance	performance	NOUN
ejpam-6227	9	17	of	of	ADP
ejpam-6227	9	18	the	the	DET
ejpam-6227	9	19	tiff	tiff	NOUN
ejpam-6227	9	20	framework	framework	NOUN
ejpam-6227	9	21	compared	compare	VERB
ejpam-6227	9	22	to	to	ADP
ejpam-6227	9	23	existing	exist	VERB
ejpam-6227	9	24	techniques	technique	NOUN
ejpam-6227	9	25	.	.	PUNCT
ejpam-6227	10	1	the	the	DET
ejpam-6227	10	2	results	result	NOUN
ejpam-6227	10	3	underscore	underscore	VERB
ejpam-6227	10	4	the	the	DET
ejpam-6227	10	5	method	method	NOUN
ejpam-6227	10	6	’s	’s	PART
ejpam-6227	10	7	efficiency	efficiency	NOUN
ejpam-6227	10	8	,	,	PUNCT
ejpam-6227	10	9	adaptability	adaptability	NOUN
ejpam-6227	10	10	,	,	PUNCT
ejpam-6227	10	11	and	and	CCONJ
ejpam-6227	10	12	practical	practical	ADJ
ejpam-6227	10	13	value	value	NOUN
ejpam-6227	10	14	as	as	ADP
ejpam-6227	10	15	a	a	DET
ejpam-6227	10	16	robust	robust	ADJ
ejpam-6227	10	17	tool	tool	NOUN
ejpam-6227	10	18	for	for	ADP
ejpam-6227	10	19	optimizing	optimize	VERB
ejpam-6227	10	20	renewable	renewable	ADJ
ejpam-6227	10	21	energy	energy	NOUN
ejpam-6227	10	22	project	project	NOUN
ejpam-6227	10	23	decisions	decision	NOUN
ejpam-6227	10	24	under	under	ADP
ejpam-6227	10	25	uncertainty	uncertainty	NOUN
ejpam-6227	10	26	.	.	PUNCT
ejpam-6227	11	1	2020	2020	NUM
ejpam-6227	11	2	mathematics	mathematic	NOUN
ejpam-6227	11	3	subject	subject	NOUN
ejpam-6227	11	4	classifications	classification	NOUN
ejpam-6227	11	5	:	:	PUNCT
ejpam-6227	11	6	03e72	03e72	NUM
ejpam-6227	11	7	,	,	PUNCT
ejpam-6227	11	8	90b50	90b50	NUM
ejpam-6227	11	9	,	,	PUNCT
ejpam-6227	11	10	62c86	62c86	NUM
ejpam-6227	11	11	key	key	ADJ
ejpam-6227	11	12	words	word	NOUN
ejpam-6227	11	13	and	and	CCONJ
ejpam-6227	11	14	phrases	phrase	NOUN
ejpam-6227	11	15	:	:	PUNCT
ejpam-6227	11	16	fuzzy	fuzzy	ADJ
ejpam-6227	11	17	set	set	NOUN
ejpam-6227	11	18	,	,	PUNCT
ejpam-6227	11	19	multi	multi	ADJ
ejpam-6227	11	20	-	-	ADJ
ejpam-6227	11	21	attribute	attribute	NOUN
ejpam-6227	11	22	decision	decision	NOUN
ejpam-6227	11	23	making	making	NOUN
ejpam-6227	11	24	,	,	PUNCT
ejpam-6227	11	25	triangular	triangular	ADJ
ejpam-6227	11	26	fuzzy	fuzzy	ADJ
ejpam-6227	11	27	frank	frank	ADJ
ejpam-6227	11	28	aggregation	aggregation	NOUN
ejpam-6227	11	29	,	,	PUNCT
ejpam-6227	11	30	energy	energy	NOUN
ejpam-6227	11	31	efficiency	efficiency	NOUN
ejpam-6227	11	32	1	1	NUM
ejpam-6227	11	33	.	.	PUNCT
ejpam-6227	11	34	introduction	introduction	NOUN
ejpam-6227	11	35	the	the	DET
ejpam-6227	11	36	drive	drive	NOUN
ejpam-6227	11	37	for	for	ADP
ejpam-6227	11	38	sustainable	sustainable	ADJ
ejpam-6227	11	39	living	living	NOUN
ejpam-6227	11	40	and	and	CCONJ
ejpam-6227	11	41	growing	grow	VERB
ejpam-6227	11	42	environmental	environmental	ADJ
ejpam-6227	11	43	concerns	concern	NOUN
ejpam-6227	11	44	have	have	AUX
ejpam-6227	11	45	increased	increase	VERB
ejpam-6227	11	46	the	the	DET
ejpam-6227	11	47	need	need	NOUN
ejpam-6227	11	48	for	for	ADP
ejpam-6227	11	49	energy	energy	NOUN
ejpam-6227	11	50	efficiency	efficiency	NOUN
ejpam-6227	11	51	in	in	ADP
ejpam-6227	11	52	buildings	building	NOUN
ejpam-6227	11	53	,	,	PUNCT
ejpam-6227	11	54	particularly	particularly	ADV
ejpam-6227	11	55	smart	smart	ADJ
ejpam-6227	11	56	houses	house	NOUN
ejpam-6227	12	1	[	[	X
ejpam-6227	12	2	1–19	1–19	NOUN
ejpam-6227	12	3	]	]	PUNCT
ejpam-6227	12	4	.	.	PUNCT
ejpam-6227	13	1	the	the	DET
ejpam-6227	13	2	development	development	NOUN
ejpam-6227	13	3	of	of	ADP
ejpam-6227	13	4	ai	ai	PRON
ejpam-6227	13	5	technology	technology	NOUN
ejpam-6227	13	6	has	have	AUX
ejpam-6227	13	7	opened	open	VERB
ejpam-6227	13	8	up	up	ADP
ejpam-6227	13	9	new	new	ADJ
ejpam-6227	13	10	avenues	avenue	NOUN
ejpam-6227	13	11	for	for	ADP
ejpam-6227	13	12	energy	energy	NOUN
ejpam-6227	13	13	consumption	consumption	NOUN
ejpam-6227	13	14	optimization	optimization	NOUN
ejpam-6227	13	15	.	.	PUNCT
ejpam-6227	14	1	however	however	ADV
ejpam-6227	14	2	,	,	PUNCT
ejpam-6227	14	3	conventional	conventional	ADJ
ejpam-6227	14	4	optimization	optimization	NOUN
ejpam-6227	14	5	techniques	technique	NOUN
ejpam-6227	14	6	are	be	AUX
ejpam-6227	14	7	severely	severely	ADV
ejpam-6227	14	8	hampered	hamper	VERB
ejpam-6227	14	9	by	by	ADP
ejpam-6227	14	10	the	the	DET
ejpam-6227	14	11	complexity	complexity	NOUN
ejpam-6227	14	12	of	of	ADP
ejpam-6227	14	13	building	building	NOUN
ejpam-6227	14	14	systems	system	NOUN
ejpam-6227	14	15	,	,	PUNCT
ejpam-6227	14	16	∗corresponding	∗corresponde	VERB
ejpam-6227	14	17	author	author	NOUN
ejpam-6227	14	18	.	.	PUNCT
ejpam-6227	15	1	doi	doi	NOUN
ejpam-6227	15	2	:	:	PUNCT
ejpam-6227	15	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6227	https://doi.org/10.29020/nybg.ejpam.v18i3.6227	PROPN
ejpam-6227	15	4	email	email	NOUN
ejpam-6227	15	5	addresses	address	VERB
ejpam-6227	15	6	:	:	PUNCT
ejpam-6227	15	7	aliyafahmi@gmail.com	aliyafahmi@gmail.com	X
ejpam-6227	15	8	(	(	PUNCT
ejpam-6227	15	9	a.	a.	NOUN
ejpam-6227	15	10	fahmi	fahmi	PROPN
ejpam-6227	15	11	)	)	PUNCT
ejpam-6227	15	12	,	,	PUNCT
ejpam-6227	15	13	arshiahashmee@gmail.com	arshiahashmee@gmail.com	X
ejpam-6227	15	14	(	(	PUNCT
ejpam-6227	15	15	a.	a.	PROPN
ejpam-6227	15	16	hashmi	hashmi	PROPN
ejpam-6227	15	17	)	)	PUNCT
ejpam-6227	15	18	,	,	PUNCT
ejpam-6227	15	19	akhan@psu.edu.sa	akhan@psu.edu.sa	NOUN
ejpam-6227	15	20	(	(	PUNCT
ejpam-6227	15	21	a.	a.	PROPN
ejpam-6227	15	22	khan	khan	PROPN
ejpam-6227	15	23	)	)	PUNCT
ejpam-6227	15	24	,	,	PUNCT
ejpam-6227	15	25	tabdeljawad@psu.edu.sa	tabdeljawad@psu.edu.sa	PROPN
ejpam-6227	15	26	(	(	PUNCT
ejpam-6227	15	27	t.	t.	NOUN
ejpam-6227	15	28	abdeljawad	abdeljawad	PROPN
ejpam-6227	15	29	)	)	PUNCT
ejpam-6227	15	30	,	,	PUNCT
ejpam-6227	15	31	rajermani.thina@newinti.edu.my	rajermani.thina@newinti.edu.my	PROPN
ejpam-6227	15	32	(	(	PUNCT
ejpam-6227	15	33	r.	r.	PROPN
ejpam-6227	15	34	thinakaran	thinakaran	PROPN
ejpam-6227	15	35	)	)	PUNCT
ejpam-6227	15	36	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6227	15	37	1	1	NUM
ejpam-6227	15	38	copyright	copyright	NOUN
ejpam-6227	15	39	:	:	PUNCT
ejpam-6227	16	1	©	©	PROPN
ejpam-6227	16	2	2025	2025	NUM
ejpam-6227	16	3	the	the	DET
ejpam-6227	16	4	author(s	author(s	NOUN
ejpam-6227	16	5	)	)	PUNCT
ejpam-6227	16	6	.	.	PUNCT
ejpam-6227	17	1	(	(	PUNCT
ejpam-6227	17	2	cc	cc	NOUN
ejpam-6227	17	3	by	by	ADP
ejpam-6227	17	4	-	-	PUNCT
ejpam-6227	17	5	nc	nc	PROPN
ejpam-6227	17	6	4.0	4.0	NUM
ejpam-6227	17	7	)	)	PUNCT
ejpam-6227	17	8	a.	a.	NOUN
ejpam-6227	17	9	fahmi	fahmi	PROPN
ejpam-6227	17	10	et	et	PROPN
ejpam-6227	17	11	al	al	PROPN
ejpam-6227	17	12	.	.	PUNCT
ejpam-6227	17	13	/	/	SYM
ejpam-6227	17	14	eur	eur	PROPN
ejpam-6227	17	15	.	.	PUNCT
ejpam-6227	18	1	j.	j.	PROPN
ejpam-6227	18	2	pure	pure	PROPN
ejpam-6227	18	3	appl	appl	PROPN
ejpam-6227	18	4	.	.	PROPN
ejpam-6227	18	5	math	math	PROPN
ejpam-6227	18	6	,	,	PUNCT
ejpam-6227	18	7	18	18	NUM
ejpam-6227	18	8	(	(	PUNCT
ejpam-6227	18	9	3	3	NUM
ejpam-6227	18	10	)	)	PUNCT
ejpam-6227	18	11	(	(	PUNCT
ejpam-6227	18	12	2025	2025	NUM
ejpam-6227	18	13	)	)	PUNCT
ejpam-6227	18	14	,	,	PUNCT
ejpam-6227	18	15	6227	6227	NUM
ejpam-6227	18	16	2	2	NUM
ejpam-6227	18	17	of	of	ADP
ejpam-6227	18	18	37	37	NUM
ejpam-6227	18	19	which	which	PRON
ejpam-6227	18	20	include	include	VERB
ejpam-6227	18	21	varying	vary	VERB
ejpam-6227	18	22	occupancy	occupancy	NOUN
ejpam-6227	18	23	levels	level	NOUN
ejpam-6227	18	24	and	and	CCONJ
ejpam-6227	18	25	erratic	erratic	ADJ
ejpam-6227	18	26	weather	weather	NOUN
ejpam-6227	18	27	.	.	PUNCT
ejpam-6227	19	1	current	current	ADJ
ejpam-6227	19	2	methods	method	NOUN
ejpam-6227	19	3	,	,	PUNCT
ejpam-6227	19	4	such	such	ADJ
ejpam-6227	19	5	as	as	ADP
ejpam-6227	19	6	those	those	PRON
ejpam-6227	19	7	based	base	VERB
ejpam-6227	19	8	on	on	ADP
ejpam-6227	19	9	[	[	X
ejpam-6227	19	10	20	20	NUM
ejpam-6227	19	11	]	]	PUNCT
ejpam-6227	19	12	static	static	ADJ
ejpam-6227	19	13	models	model	NOUN
ejpam-6227	19	14	or	or	CCONJ
ejpam-6227	19	15	heuristic	heuristic	ADJ
ejpam-6227	19	16	algorithms	algorithm	NOUN
ejpam-6227	19	17	,	,	PUNCT
ejpam-6227	19	18	frequently	frequently	ADV
ejpam-6227	19	19	struggle	struggle	VERB
ejpam-6227	19	20	to	to	PART
ejpam-6227	19	21	adjust	adjust	VERB
ejpam-6227	19	22	to	to	ADP
ejpam-6227	19	23	changes	change	NOUN
ejpam-6227	19	24	in	in	ADP
ejpam-6227	19	25	the	the	DET
ejpam-6227	19	26	environment	environment	NOUN
ejpam-6227	19	27	in	in	ADP
ejpam-6227	19	28	real	real	ADJ
ejpam-6227	19	29	time	time	NOUN
ejpam-6227	19	30	,	,	PUNCT
ejpam-6227	19	31	which	which	PRON
ejpam-6227	19	32	restricts	restrict	VERB
ejpam-6227	19	33	their	their	PRON
ejpam-6227	19	34	capacity	capacity	NOUN
ejpam-6227	19	35	to	to	PART
ejpam-6227	19	36	achieve	achieve	VERB
ejpam-6227	19	37	consistent	consistent	ADJ
ejpam-6227	19	38	and	and	CCONJ
ejpam-6227	19	39	ideal	ideal	ADJ
ejpam-6227	19	40	energy	energy	NOUN
ejpam-6227	19	41	use	use	NOUN
ejpam-6227	19	42	[	[	X
ejpam-6227	19	43	21	21	NUM
ejpam-6227	19	44	]	]	PUNCT
ejpam-6227	19	45	.	.	PUNCT
ejpam-6227	20	1	fuzzy	fuzzy	ADJ
ejpam-6227	20	2	logic	logic	NOUN
ejpam-6227	20	3	was	be	AUX
ejpam-6227	20	4	the	the	DET
ejpam-6227	20	5	foundation	foundation	NOUN
ejpam-6227	20	6	of	of	ADP
ejpam-6227	20	7	many	many	ADJ
ejpam-6227	20	8	ai	ai	ADJ
ejpam-6227	20	9	-	-	PUNCT
ejpam-6227	20	10	driven	drive	VERB
ejpam-6227	20	11	techniques	technique	NOUN
ejpam-6227	20	12	for	for	ADP
ejpam-6227	20	13	building	build	VERB
ejpam-6227	20	14	energy	energy	NOUN
ejpam-6227	20	15	optimization	optimization	NOUN
ejpam-6227	20	16	.	.	PUNCT
ejpam-6227	21	1	although	although	SCONJ
ejpam-6227	21	2	these	these	DET
ejpam-6227	21	3	approaches	approach	NOUN
ejpam-6227	21	4	were	be	AUX
ejpam-6227	21	5	successful	successful	ADJ
ejpam-6227	21	6	in	in	ADP
ejpam-6227	21	7	controlling	control	VERB
ejpam-6227	21	8	uncertainty	uncertainty	NOUN
ejpam-6227	21	9	,	,	PUNCT
ejpam-6227	21	10	they	they	PRON
ejpam-6227	21	11	usually	usually	ADV
ejpam-6227	21	12	depended	depend	VERB
ejpam-6227	21	13	on	on	ADP
ejpam-6227	21	14	oversimplified	oversimplified	ADJ
ejpam-6227	21	15	models	model	NOUN
ejpam-6227	21	16	that	that	PRON
ejpam-6227	21	17	were	be	AUX
ejpam-6227	21	18	unable	unable	ADJ
ejpam-6227	21	19	to	to	PART
ejpam-6227	21	20	fully	fully	ADV
ejpam-6227	21	21	represent	represent	VERB
ejpam-6227	21	22	the	the	DET
ejpam-6227	21	23	intricacy	intricacy	NOUN
ejpam-6227	21	24	of	of	ADP
ejpam-6227	21	25	smart	smart	ADJ
ejpam-6227	21	26	home	home	NOUN
ejpam-6227	21	27	environments	environment	NOUN
ejpam-6227	22	1	[	[	X
ejpam-6227	22	2	22–32	22–32	NUM
ejpam-6227	22	3	]	]	PUNCT
ejpam-6227	22	4	.	.	PUNCT
ejpam-6227	23	1	systems	system	NOUN
ejpam-6227	23	2	such	such	ADJ
ejpam-6227	23	3	as	as	ADP
ejpam-6227	23	4	fuzzy	fuzzy	ADV
ejpam-6227	23	5	-	-	PUNCT
ejpam-6227	23	6	based	base	VERB
ejpam-6227	23	7	decision	decision	NOUN
ejpam-6227	23	8	frameworks	framework	NOUN
ejpam-6227	23	9	for	for	ADP
ejpam-6227	23	10	assessing	assess	VERB
ejpam-6227	23	11	hvac	hvac	NOUN
ejpam-6227	23	12	system	system	NOUN
ejpam-6227	23	13	performance	performance	NOUN
ejpam-6227	23	14	[	[	X
ejpam-6227	23	15	14	14	NUM
ejpam-6227	23	16	]	]	PUNCT
ejpam-6227	23	17	and	and	CCONJ
ejpam-6227	23	18	the	the	DET
ejpam-6227	23	19	adaptive	adaptive	ADJ
ejpam-6227	23	20	neuro	neuro	NOUN
ejpam-6227	23	21	-	-	PUNCT
ejpam-6227	23	22	fuzzy	fuzzy	ADJ
ejpam-6227	23	23	inference	inference	NOUN
ejpam-6227	23	24	system	system	NOUN
ejpam-6227	23	25	for	for	ADP
ejpam-6227	23	26	load	load	NOUN
ejpam-6227	23	27	forecasting	forecasting	NOUN
ejpam-6227	23	28	[	[	X
ejpam-6227	23	29	33	33	NUM
ejpam-6227	23	30	]	]	PUNCT
ejpam-6227	23	31	had	have	VERB
ejpam-6227	23	32	trouble	trouble	NOUN
ejpam-6227	23	33	managing	manage	VERB
ejpam-6227	23	34	uncertainty	uncertainty	NOUN
ejpam-6227	23	35	in	in	ADP
ejpam-6227	23	36	real	real	ADJ
ejpam-6227	23	37	-	-	PUNCT
ejpam-6227	23	38	time	time	NOUN
ejpam-6227	23	39	energy	energy	NOUN
ejpam-6227	23	40	management	management	NOUN
ejpam-6227	23	41	,	,	PUNCT
ejpam-6227	23	42	especially	especially	ADV
ejpam-6227	23	43	when	when	SCONJ
ejpam-6227	23	44	taking	take	VERB
ejpam-6227	23	45	dynamic	dynamic	ADJ
ejpam-6227	23	46	factors	factor	NOUN
ejpam-6227	23	47	like	like	ADP
ejpam-6227	23	48	weather	weather	NOUN
ejpam-6227	23	49	or	or	CCONJ
ejpam-6227	23	50	human	human	ADJ
ejpam-6227	23	51	behavior	behavior	NOUN
ejpam-6227	23	52	into	into	ADP
ejpam-6227	23	53	account	account	NOUN
ejpam-6227	23	54	[	[	X
ejpam-6227	23	55	33–44	33–44	NUM
ejpam-6227	23	56	]	]	X
ejpam-6227	23	57	.	.	PUNCT
ejpam-6227	24	1	figure	figure	NOUN
ejpam-6227	24	2	1	1	NUM
ejpam-6227	24	3	is	be	AUX
ejpam-6227	24	4	efficient	efficient	ADJ
ejpam-6227	24	5	renewable	renewable	ADJ
ejpam-6227	24	6	energy	energy	NOUN
ejpam-6227	24	7	project	project	NOUN
ejpam-6227	24	8	selection	selection	NOUN
ejpam-6227	24	9	given	give	VERB
ejpam-6227	24	10	as	as	ADP
ejpam-6227	24	11	the	the	DET
ejpam-6227	24	12	concept	concept	NOUN
ejpam-6227	24	13	of	of	ADP
ejpam-6227	24	14	a	a	DET
ejpam-6227	24	15	fuzzy	fuzzy	ADJ
ejpam-6227	24	16	set	set	NOUN
ejpam-6227	24	17	,	,	PUNCT
ejpam-6227	24	18	which	which	PRON
ejpam-6227	24	19	can	can	AUX
ejpam-6227	24	20	address	address	VERB
ejpam-6227	24	21	the	the	DET
ejpam-6227	24	22	issue	issue	NOUN
ejpam-6227	24	23	of	of	ADP
ejpam-6227	24	24	uncertainty	uncertainty	NOUN
ejpam-6227	24	25	in	in	ADP
ejpam-6227	24	26	various	various	ADJ
ejpam-6227	24	27	contexts	contexts	NOUN
ejpam-6227	24	28	,	,	PUNCT
ejpam-6227	24	29	was	be	AUX
ejpam-6227	24	30	developed	develop	VERB
ejpam-6227	24	31	by	by	ADP
ejpam-6227	24	32	zadeh	zadeh	PROPN
ejpam-6227	25	1	[	[	X
ejpam-6227	25	2	16	16	NUM
ejpam-6227	25	3	]	]	PUNCT
ejpam-6227	25	4	.	.	PUNCT
ejpam-6227	26	1	sets	set	NOUN
ejpam-6227	26	2	with	with	ADP
ejpam-6227	26	3	degrees	degree	NOUN
ejpam-6227	26	4	of	of	ADP
ejpam-6227	26	5	membership	membership	NOUN
ejpam-6227	26	6	are	be	AUX
ejpam-6227	26	7	called	call	VERB
ejpam-6227	26	8	fss	fss	ADJ
ejpam-6227	26	9	,	,	PUNCT
ejpam-6227	26	10	and	and	CCONJ
ejpam-6227	26	11	membership	membership	NOUN
ejpam-6227	26	12	functions	function	NOUN
ejpam-6227	26	13	with	with	ADP
ejpam-6227	26	14	values	value	NOUN
ejpam-6227	26	15	in	in	ADP
ejpam-6227	26	16	the	the	DET
ejpam-6227	26	17	interval	interval	NOUN
ejpam-6227	26	18	[	[	X
ejpam-6227	26	19	0	0	NUM
ejpam-6227	26	20	,	,	PUNCT
ejpam-6227	26	21	1	1	NUM
ejpam-6227	26	22	]	]	PUNCT
ejpam-6227	26	23	are	be	AUX
ejpam-6227	26	24	allowed	allow	VERB
ejpam-6227	26	25	according	accord	VERB
ejpam-6227	26	26	to	to	ADP
ejpam-6227	26	27	fs	fs	ADP
ejpam-6227	26	28	theory	theory	NOUN
ejpam-6227	26	29	.	.	PUNCT
ejpam-6227	27	1	however	however	ADV
ejpam-6227	27	2	,	,	PUNCT
ejpam-6227	27	3	because	because	SCONJ
ejpam-6227	27	4	there	there	PRON
ejpam-6227	27	5	could	could	AUX
ejpam-6227	27	6	be	be	AUX
ejpam-6227	27	7	some	some	DET
ejpam-6227	27	8	reluctant	reluctant	ADJ
ejpam-6227	27	9	degree	degree	NOUN
ejpam-6227	27	10	,	,	PUNCT
ejpam-6227	27	11	it	it	PRON
ejpam-6227	27	12	might	might	AUX
ejpam-6227	27	13	not	not	PART
ejpam-6227	27	14	always	always	ADV
ejpam-6227	27	15	hold	hold	VERB
ejpam-6227	27	16	in	in	ADP
ejpam-6227	27	17	real	real	ADJ
ejpam-6227	27	18	life	life	NOUN
ejpam-6227	27	19	that	that	SCONJ
ejpam-6227	27	20	the	the	DET
ejpam-6227	27	21	degree	degree	NOUN
ejpam-6227	27	22	of	of	ADP
ejpam-6227	27	23	nonmembership	nonmembership	NOUN
ejpam-6227	27	24	function	function	NOUN
ejpam-6227	27	25	is	be	AUX
ejpam-6227	27	26	equal	equal	ADJ
ejpam-6227	27	27	to	to	ADP
ejpam-6227	27	28	one	one	NUM
ejpam-6227	27	29	minus	minus	CCONJ
ejpam-6227	27	30	membership	membership	NOUN
ejpam-6227	27	31	function	function	NOUN
ejpam-6227	27	32	.	.	PUNCT
ejpam-6227	28	1	the	the	DET
ejpam-6227	28	2	intuitionistic	intuitionistic	ADJ
ejpam-6227	28	3	fs	f	NOUN
ejpam-6227	28	4	was	be	AUX
ejpam-6227	28	5	initially	initially	ADV
ejpam-6227	28	6	proposed	propose	VERB
ejpam-6227	28	7	by	by	ADP
ejpam-6227	28	8	atanassov	atanassov	PROPN
ejpam-6227	28	9	[	[	X
ejpam-6227	28	10	45	45	NUM
ejpam-6227	28	11	]	]	PUNCT
ejpam-6227	28	12	.	.	PUNCT
ejpam-6227	29	1	truth	truth	NOUN
ejpam-6227	29	2	and	and	CCONJ
ejpam-6227	29	3	falsity	falsity	NOUN
ejpam-6227	29	4	grades	grade	NOUN
ejpam-6227	29	5	are	be	AUX
ejpam-6227	29	6	assigned	assign	VERB
ejpam-6227	29	7	to	to	ADP
ejpam-6227	29	8	the	the	DET
ejpam-6227	29	9	constituents	constituent	NOUN
ejpam-6227	29	10	of	of	ADP
ejpam-6227	29	11	ifss	ifss	NOUN
ejpam-6227	29	12	.	.	PUNCT
ejpam-6227	30	1	the	the	DET
ejpam-6227	30	2	degree	degree	NOUN
ejpam-6227	30	3	of	of	ADP
ejpam-6227	30	4	hesitancy	hesitancy	NOUN
ejpam-6227	30	5	about	about	ADP
ejpam-6227	30	6	an	an	DET
ejpam-6227	30	7	element	element	NOUN
ejpam-6227	30	8	’s	’s	PART
ejpam-6227	30	9	truth	truth	NOUN
ejpam-6227	30	10	and	and	CCONJ
ejpam-6227	30	11	falsity	falsity	NOUN
ejpam-6227	30	12	grades	grade	NOUN
ejpam-6227	30	13	within	within	ADP
ejpam-6227	30	14	a	a	DET
ejpam-6227	30	15	set	set	NOUN
ejpam-6227	30	16	must	must	AUX
ejpam-6227	30	17	be	be	AUX
ejpam-6227	30	18	represented	represent	VERB
ejpam-6227	30	19	using	use	VERB
ejpam-6227	30	20	ifs	ifs	PROPN
ejpam-6227	30	21	.	.	PUNCT
ejpam-6227	31	1	ifss	ifss	PROPN
ejpam-6227	31	2	are	be	AUX
ejpam-6227	31	3	used	use	VERB
ejpam-6227	31	4	in	in	ADP
ejpam-6227	31	5	numerous	numerous	ADJ
ejpam-6227	31	6	real	real	ADJ
ejpam-6227	31	7	-	-	PUNCT
ejpam-6227	31	8	world	world	NOUN
ejpam-6227	31	9	scenarios	scenario	NOUN
ejpam-6227	31	10	to	to	PART
ejpam-6227	31	11	solve	solve	VERB
ejpam-6227	31	12	issues	issue	NOUN
ejpam-6227	31	13	.	.	PUNCT
ejpam-6227	32	1	one	one	NUM
ejpam-6227	32	2	example	example	NOUN
ejpam-6227	32	3	of	of	ADP
ejpam-6227	32	4	this	this	PRON
ejpam-6227	32	5	is	be	AUX
ejpam-6227	32	6	when	when	SCONJ
ejpam-6227	32	7	we	we	PRON
ejpam-6227	32	8	toss	toss	VERB
ejpam-6227	32	9	a	a	DET
ejpam-6227	32	10	coin	coin	NOUN
ejpam-6227	32	11	;	;	PUNCT
ejpam-6227	32	12	there	there	PRON
ejpam-6227	32	13	are	be	VERB
ejpam-6227	32	14	two	two	NUM
ejpam-6227	32	15	possible	possible	ADJ
ejpam-6227	32	16	outcomes	outcome	NOUN
ejpam-6227	32	17	,	,	PUNCT
ejpam-6227	32	18	head	head	NOUN
ejpam-6227	32	19	or	or	CCONJ
ejpam-6227	32	20	tail	tail	NOUN
ejpam-6227	32	21	.	.	PUNCT
ejpam-6227	33	1	expert	expert	ADJ
ejpam-6227	33	2	opinions	opinion	NOUN
ejpam-6227	33	3	were	be	AUX
ejpam-6227	33	4	represented	represent	VERB
ejpam-6227	33	5	using	use	VERB
ejpam-6227	33	6	the	the	DET
ejpam-6227	33	7	basic	basic	ADJ
ejpam-6227	33	8	uncertain	uncertain	ADJ
ejpam-6227	33	9	information	information	NOUN
ejpam-6227	33	10	(	(	PUNCT
ejpam-6227	33	11	bui	bui	NOUN
ejpam-6227	33	12	)	)	PUNCT
ejpam-6227	33	13	technique	technique	NOUN
ejpam-6227	33	14	,	,	PUNCT
ejpam-6227	33	15	and	and	CCONJ
ejpam-6227	33	16	in	in	ADP
ejpam-6227	33	17	a	a	DET
ejpam-6227	33	18	group	group	NOUN
ejpam-6227	33	19	decision	decision	NOUN
ejpam-6227	33	20	-	-	PUNCT
ejpam-6227	33	21	making	make	VERB
ejpam-6227	33	22	context	context	NOUN
ejpam-6227	33	23	,	,	PUNCT
ejpam-6227	33	24	these	these	DET
ejpam-6227	33	25	opinions	opinion	NOUN
ejpam-6227	33	26	were	be	AUX
ejpam-6227	33	27	combined	combine	VERB
ejpam-6227	33	28	using	use	VERB
ejpam-6227	33	29	aggregation	aggregation	NOUN
ejpam-6227	33	30	operations	operation	NOUN
ejpam-6227	34	1	[	[	X
ejpam-6227	34	2	29	29	NUM
ejpam-6227	34	3	]	]	PUNCT
ejpam-6227	34	4	.	.	PUNCT
ejpam-6227	35	1	the	the	DET
ejpam-6227	35	2	coin	coin	NOUN
ejpam-6227	35	3	will	will	AUX
ejpam-6227	35	4	show	show	VERB
ejpam-6227	35	5	either	either	DET
ejpam-6227	35	6	way	way	NOUN
ejpam-6227	35	7	at	at	ADP
ejpam-6227	35	8	a	a	DET
ejpam-6227	35	9	time	time	NOUN
ejpam-6227	35	10	,	,	PUNCT
ejpam-6227	35	11	but	but	CCONJ
ejpam-6227	35	12	not	not	PART
ejpam-6227	35	13	both	both	DET
ejpam-6227	35	14	ways	way	NOUN
ejpam-6227	35	15	at	at	ADP
ejpam-6227	35	16	once	once	ADV
ejpam-6227	35	17	.	.	PUNCT
ejpam-6227	36	1	the	the	DET
ejpam-6227	36	2	theory	theory	NOUN
ejpam-6227	36	3	of	of	ADP
ejpam-6227	36	4	pythagorean	pythagorean	PROPN
ejpam-6227	36	5	fuzzy	fuzzy	ADJ
ejpam-6227	36	6	sets	set	NOUN
ejpam-6227	36	7	to	to	PART
ejpam-6227	36	8	address	address	VERB
ejpam-6227	36	9	these	these	DET
ejpam-6227	36	10	types	type	NOUN
ejpam-6227	36	11	of	of	ADP
ejpam-6227	36	12	issues	issue	NOUN
ejpam-6227	36	13	[	[	X
ejpam-6227	36	14	5	5	NUM
ejpam-6227	36	15	]	]	PUNCT
ejpam-6227	36	16	.	.	PUNCT
ejpam-6227	37	1	because	because	SCONJ
ejpam-6227	37	2	pyfs	pyfs	NOUN
ejpam-6227	37	3	and	and	CCONJ
ejpam-6227	37	4	ifs	ifs	PROPN
ejpam-6227	37	5	have	have	VERB
ejpam-6227	37	6	the	the	DET
ejpam-6227	37	7	same	same	ADJ
ejpam-6227	37	8	structure	structure	NOUN
ejpam-6227	37	9	but	but	CCONJ
ejpam-6227	37	10	different	different	ADJ
ejpam-6227	37	11	conditions	condition	NOUN
ejpam-6227	37	12	,	,	PUNCT
ejpam-6227	37	13	pyfs	pyfs	ADJ
ejpam-6227	37	14	is	be	AUX
ejpam-6227	37	15	the	the	DET
ejpam-6227	37	16	improved	improved	ADJ
ejpam-6227	37	17	version	version	NOUN
ejpam-6227	37	18	of	of	ADP
ejpam-6227	37	19	ifss	ifss	NOUN
ejpam-6227	37	20	that	that	PRON
ejpam-6227	37	21	have	have	AUX
ejpam-6227	37	22	overcome	overcome	VERB
ejpam-6227	37	23	their	their	PRON
ejpam-6227	37	24	limitations	limitation	NOUN
ejpam-6227	37	25	.	.	PUNCT
ejpam-6227	38	1	ifs	ifs	PROPN
ejpam-6227	38	2	and	and	CCONJ
ejpam-6227	38	3	pyfs	pyfs	NOUN
ejpam-6227	38	4	are	be	AUX
ejpam-6227	38	5	often	often	ADV
ejpam-6227	38	6	closely	closely	ADV
ejpam-6227	38	7	related	relate	VERB
ejpam-6227	38	8	.	.	PUNCT
ejpam-6227	39	1	compared	compare	VERB
ejpam-6227	39	2	to	to	ADP
ejpam-6227	39	3	ifss	ifss	VERB
ejpam-6227	39	4	,	,	PUNCT
ejpam-6227	39	5	pyfs	pyfs	NOUN
ejpam-6227	39	6	allows	allow	VERB
ejpam-6227	39	7	us	we	PRON
ejpam-6227	39	8	to	to	PART
ejpam-6227	39	9	measure	measure	VERB
ejpam-6227	39	10	uncertainty	uncertainty	NOUN
ejpam-6227	39	11	more	more	ADV
ejpam-6227	39	12	precisely	precisely	ADV
ejpam-6227	39	13	and	and	CCONJ
ejpam-6227	39	14	adequately	adequately	ADV
ejpam-6227	39	15	.	.	PUNCT
ejpam-6227	40	1	aggregation	aggregation	NOUN
ejpam-6227	40	2	operators	operator	NOUN
ejpam-6227	41	1	[	[	X
ejpam-6227	41	2	28	28	NUM
ejpam-6227	41	3	,	,	PUNCT
ejpam-6227	41	4	40	40	NUM
ejpam-6227	41	5	,	,	PUNCT
ejpam-6227	41	6	43	43	NUM
ejpam-6227	41	7	,	,	PUNCT
ejpam-6227	41	8	46	46	NUM
ejpam-6227	41	9	]	]	PUNCT
ejpam-6227	41	10	,	,	PUNCT
ejpam-6227	41	11	similarity	similarity	NOUN
ejpam-6227	41	12	measures	measure	NOUN
ejpam-6227	41	13	[	[	X
ejpam-6227	41	14	1	1	NUM
ejpam-6227	41	15	,	,	PUNCT
ejpam-6227	41	16	29	29	NUM
ejpam-6227	41	17	,	,	PUNCT
ejpam-6227	41	18	44	44	NUM
ejpam-6227	41	19	,	,	PUNCT
ejpam-6227	41	20	47	47	NUM
ejpam-6227	41	21	]	]	PUNCT
ejpam-6227	41	22	,	,	PUNCT
ejpam-6227	41	23	decision	decision	NOUN
ejpam-6227	41	24	-	-	PUNCT
ejpam-6227	41	25	making	making	NOUN
ejpam-6227	41	26	approaches	approach	NOUN
ejpam-6227	41	27	[	[	X
ejpam-6227	41	28	12	12	NUM
ejpam-6227	41	29	,	,	PUNCT
ejpam-6227	41	30	48	48	NUM
ejpam-6227	41	31	,	,	PUNCT
ejpam-6227	41	32	49	49	NUM
ejpam-6227	41	33	]	]	PUNCT
ejpam-6227	41	34	,	,	PUNCT
ejpam-6227	41	35	and	and	CCONJ
ejpam-6227	41	36	various	various	ADJ
ejpam-6227	41	37	sorts	sort	NOUN
ejpam-6227	41	38	of	of	ADP
ejpam-6227	41	39	procedures	procedure	NOUN
ejpam-6227	41	40	was	be	AUX
ejpam-6227	41	41	a	a	DET
ejpam-6227	41	42	few	few	ADJ
ejpam-6227	41	43	examples	example	NOUN
ejpam-6227	41	44	of	of	ADP
ejpam-6227	41	45	uses	use	NOUN
ejpam-6227	41	46	of	of	ADP
ejpam-6227	41	47	fs	f	NOUN
ejpam-6227	41	48	and	and	CCONJ
ejpam-6227	41	49	its	its	PRON
ejpam-6227	41	50	extensions	extension	NOUN
ejpam-6227	41	51	.	.	PUNCT
ejpam-6227	42	1	by	by	ADP
ejpam-6227	42	2	clustering	cluster	VERB
ejpam-6227	42	3	fuzzy	fuzzy	ADJ
ejpam-6227	42	4	c	c	NOUN
ejpam-6227	42	5	-	-	PUNCT
ejpam-6227	42	6	numbers	number	NOUN
ejpam-6227	42	7	,	,	PUNCT
ejpam-6227	42	8	xu	xu	PROPN
ejpam-6227	42	9	and	and	CCONJ
ejpam-6227	42	10	li	li	PROPN
ejpam-6227	43	1	[	[	X
ejpam-6227	43	2	10	10	NUM
ejpam-6227	43	3	]	]	PUNCT
ejpam-6227	43	4	prophesied	prophesy	VERB
ejpam-6227	43	5	the	the	DET
ejpam-6227	43	6	reversion	reversion	NOUN
ejpam-6227	43	7	of	of	ADP
ejpam-6227	43	8	a	a	DET
ejpam-6227	43	9	fuzzy	fuzzy	ADJ
ejpam-6227	43	10	time	time	NOUN
ejpam-6227	43	11	sequence	sequence	NOUN
ejpam-6227	43	12	.	.	PUNCT
ejpam-6227	44	1	this	this	DET
ejpam-6227	44	2	study	study	NOUN
ejpam-6227	44	3	offers	offer	VERB
ejpam-6227	44	4	a	a	DET
ejpam-6227	44	5	class	class	NOUN
ejpam-6227	44	6	of	of	ADP
ejpam-6227	44	7	fuzzy	fuzzy	ADJ
ejpam-6227	44	8	clustering	clustering	NOUN
ejpam-6227	44	9	procedures	procedure	NOUN
ejpam-6227	44	10	specifically	specifically	ADV
ejpam-6227	44	11	tailored	tailor	VERB
ejpam-6227	44	12	for	for	ADP
ejpam-6227	44	13	processing	process	VERB
ejpam-6227	44	14	fuzzy	fuzzy	ADJ
ejpam-6227	44	15	data	datum	NOUN
ejpam-6227	44	16	[	[	X
ejpam-6227	44	17	42	42	NUM
ejpam-6227	44	18	]	]	PUNCT
ejpam-6227	44	19	.	.	PUNCT
ejpam-6227	45	1	fuzzy	fuzzy	ADJ
ejpam-6227	45	2	c	c	NOUN
ejpam-6227	45	3	-	-	PUNCT
ejpam-6227	45	4	number	number	NOUN
ejpam-6227	45	5	clusterings	clustering	NOUN
ejpam-6227	45	6	are	be	AUX
ejpam-6227	45	7	novel	novel	ADJ
ejpam-6227	45	8	algorithms	algorithm	NOUN
ejpam-6227	45	9	designed	design	VERB
ejpam-6227	45	10	to	to	PART
ejpam-6227	45	11	handle	handle	VERB
ejpam-6227	45	12	different	different	ADJ
ejpam-6227	45	13	kinds	kind	NOUN
ejpam-6227	45	14	of	of	ADP
ejpam-6227	45	15	fuzzy	fuzzy	ADJ
ejpam-6227	45	16	data	datum	NOUN
ejpam-6227	45	17	a.	a.	PROPN
ejpam-6227	45	18	fahmi	fahmi	PROPN
ejpam-6227	45	19	et	et	PROPN
ejpam-6227	45	20	al	al	PROPN
ejpam-6227	45	21	.	.	PUNCT
ejpam-6227	45	22	/	/	SYM
ejpam-6227	45	23	eur	eur	PROPN
ejpam-6227	45	24	.	.	PUNCT
ejpam-6227	46	1	j.	j.	PROPN
ejpam-6227	46	2	pure	pure	PROPN
ejpam-6227	46	3	appl	appl	PROPN
ejpam-6227	46	4	.	.	PROPN
ejpam-6227	46	5	math	math	PROPN
ejpam-6227	46	6	,	,	PUNCT
ejpam-6227	46	7	18	18	NUM
ejpam-6227	46	8	(	(	PUNCT
ejpam-6227	46	9	3	3	NUM
ejpam-6227	46	10	)	)	PUNCT
ejpam-6227	46	11	(	(	PUNCT
ejpam-6227	46	12	2025	2025	NUM
ejpam-6227	46	13	)	)	PUNCT
ejpam-6227	46	14	,	,	PUNCT
ejpam-6227	46	15	6227	6227	NUM
ejpam-6227	46	16	3	3	NUM
ejpam-6227	46	17	of	of	ADP
ejpam-6227	46	18	37	37	NUM
ejpam-6227	46	19	more	more	ADV
ejpam-6227	46	20	efficiently	efficiently	ADV
ejpam-6227	46	21	,	,	PUNCT
ejpam-6227	46	22	fuzzy	fuzzy	ADJ
ejpam-6227	46	23	number	number	NOUN
ejpam-6227	46	24	forms	form	NOUN
ejpam-6227	46	25	such	such	ADJ
ejpam-6227	46	26	as	as	ADP
ejpam-6227	46	27	conventional	conventional	ADJ
ejpam-6227	46	28	[	[	X
ejpam-6227	46	29	50–58	50–58	NUM
ejpam-6227	46	30	]	]	PUNCT
ejpam-6227	46	31	,	,	PUNCT
ejpam-6227	46	32	trapezoidal	trapezoidal	ADJ
ejpam-6227	46	33	,	,	PUNCT
ejpam-6227	46	34	lr	lr	NOUN
ejpam-6227	46	35	-	-	PUNCT
ejpam-6227	46	36	type	type	NOUN
ejpam-6227	46	37	,	,	PUNCT
ejpam-6227	46	38	and	and	CCONJ
ejpam-6227	46	39	triangular	triangular	VERB
ejpam-6227	46	40	fuzzy	fuzzy	ADJ
ejpam-6227	46	41	numbers	number	NOUN
ejpam-6227	46	42	[	[	X
ejpam-6227	46	43	14	14	NUM
ejpam-6227	46	44	]	]	PUNCT
ejpam-6227	46	45	.	.	PUNCT
ejpam-6227	47	1	akram	akram	PROPN
ejpam-6227	47	2	et	et	PROPN
ejpam-6227	47	3	al	al	PROPN
ejpam-6227	47	4	.	.	PUNCT
ejpam-6227	48	1	[	[	X
ejpam-6227	48	2	59	59	NUM
ejpam-6227	48	3	,	,	PUNCT
ejpam-6227	48	4	60	60	NUM
ejpam-6227	48	5	]	]	PUNCT
ejpam-6227	48	6	introduced	introduce	VERB
ejpam-6227	48	7	several	several	ADJ
ejpam-6227	48	8	pfs	pf	VERB
ejpam-6227	48	9	-	-	ADJ
ejpam-6227	48	10	imitable	imitable	ADJ
ejpam-6227	48	11	applications	application	NOUN
ejpam-6227	48	12	.	.	PUNCT
ejpam-6227	49	1	a	a	DET
ejpam-6227	49	2	thorough	thorough	ADJ
ejpam-6227	49	3	case	case	NOUN
ejpam-6227	49	4	study	study	NOUN
ejpam-6227	49	5	on	on	ADP
ejpam-6227	49	6	choosing	choose	VERB
ejpam-6227	49	7	medical	medical	ADJ
ejpam-6227	49	8	subject	subject	NOUN
ejpam-6227	49	9	experts	expert	NOUN
ejpam-6227	49	10	was	be	AUX
ejpam-6227	49	11	used	use	VERB
ejpam-6227	49	12	to	to	PART
ejpam-6227	49	13	test	test	VERB
ejpam-6227	49	14	an	an	DET
ejpam-6227	49	15	integrated	integrate	VERB
ejpam-6227	49	16	mcdm	mcdm	ADJ
ejpam-6227	49	17	algorithm	algorithm	NOUN
ejpam-6227	49	18	that	that	PRON
ejpam-6227	49	19	was	be	AUX
ejpam-6227	49	20	created	create	VERB
ejpam-6227	49	21	using	use	VERB
ejpam-6227	49	22	the	the	DET
ejpam-6227	49	23	suggested	suggest	VERB
ejpam-6227	49	24	operators	operator	NOUN
ejpam-6227	49	25	and	and	CCONJ
ejpam-6227	49	26	the	the	DET
ejpam-6227	49	27	combined	combine	VERB
ejpam-6227	49	28	criterion	criterion	NOUN
ejpam-6227	49	29	weight	weight	NOUN
ejpam-6227	49	30	determination	determination	NOUN
ejpam-6227	49	31	model	model	NOUN
ejpam-6227	49	32	[	[	X
ejpam-6227	49	33	46	46	NUM
ejpam-6227	49	34	,	,	PUNCT
ejpam-6227	49	35	61–63	61–63	NUM
ejpam-6227	49	36	]	]	PUNCT
ejpam-6227	49	37	.	.	PUNCT
ejpam-6227	50	1	as	as	ADP
ejpam-6227	50	2	a	a	DET
ejpam-6227	50	3	result	result	NOUN
ejpam-6227	50	4	,	,	PUNCT
ejpam-6227	50	5	it	it	PRON
ejpam-6227	50	6	can	can	AUX
ejpam-6227	50	7	represent	represent	VERB
ejpam-6227	50	8	the	the	DET
ejpam-6227	50	9	relative	relative	ADJ
ejpam-6227	50	10	relevance	relevance	NOUN
ejpam-6227	50	11	of	of	ADP
ejpam-6227	50	12	the	the	DET
ejpam-6227	50	13	supplied	supply	VERB
ejpam-6227	50	14	pythagorean	pythagorean	PROPN
ejpam-6227	50	15	fuzzy	fuzzy	ADJ
ejpam-6227	50	16	argument	argument	NOUN
ejpam-6227	50	17	and	and	CCONJ
ejpam-6227	50	18	its	its	PRON
ejpam-6227	50	19	ordered	order	VERB
ejpam-6227	50	20	position	position	NOUN
ejpam-6227	50	21	.	.	PUNCT
ejpam-6227	51	1	several	several	ADJ
ejpam-6227	51	2	interval	interval	NOUN
ejpam-6227	51	3	-	-	PUNCT
ejpam-6227	51	4	valued	value	VERB
ejpam-6227	51	5	furthermore	furthermore	ADV
ejpam-6227	51	6	,	,	PUNCT
ejpam-6227	51	7	we	we	PRON
ejpam-6227	51	8	provide	provide	VERB
ejpam-6227	51	9	some	some	DET
ejpam-6227	51	10	interval	interval	NOUN
ejpam-6227	51	11	-	-	PUNCT
ejpam-6227	51	12	valued	value	VERB
ejpam-6227	51	13	pythagorean	pythagorean	PROPN
ejpam-6227	51	14	fuzzy	fuzzy	ADJ
ejpam-6227	51	15	point	point	NOUN
ejpam-6227	51	16	weighted	weight	VERB
ejpam-6227	51	17	averaging	average	VERB
ejpam-6227	51	18	(	(	PUNCT
ejpam-6227	51	19	ivpfpwa	ivpfpwa	NOUN
ejpam-6227	51	20	)	)	PUNCT
ejpam-6227	51	21	operators	operator	NOUN
ejpam-6227	51	22	that	that	PRON
ejpam-6227	51	23	can	can	AUX
ejpam-6227	51	24	modify	modify	VERB
ejpam-6227	51	25	the	the	DET
ejpam-6227	51	26	degree	degree	NOUN
ejpam-6227	51	27	of	of	ADP
ejpam-6227	51	28	the	the	DET
ejpam-6227	51	29	aggregated	aggregate	VERB
ejpam-6227	51	30	arguments	argument	NOUN
ejpam-6227	51	31	with	with	ADP
ejpam-6227	51	32	a	a	DET
ejpam-6227	51	33	parameter	parameter	NOUN
ejpam-6227	51	34	by	by	ADP
ejpam-6227	51	35	combining	combine	VERB
ejpam-6227	51	36	the	the	DET
ejpam-6227	51	37	interval	interval	NOUN
ejpam-6227	51	38	-	-	PUNCT
ejpam-6227	51	39	valued	value	VERB
ejpam-6227	51	40	pythagorean	pythagorean	PROPN
ejpam-6227	51	41	fuzzy	fuzzy	ADJ
ejpam-6227	51	42	point	point	NOUN
ejpam-6227	51	43	operators	operator	NOUN
ejpam-6227	51	44	with	with	ADP
ejpam-6227	51	45	the	the	DET
ejpam-6227	51	46	ivpfwa	ivpfwa	ADJ
ejpam-6227	51	47	operator	operator	NOUN
ejpam-6227	51	48	.	.	PUNCT
ejpam-6227	52	1	in	in	ADP
ejpam-6227	52	2	order	order	NOUN
ejpam-6227	52	3	to	to	PART
ejpam-6227	52	4	address	address	VERB
ejpam-6227	52	5	multi	multi	ADJ
ejpam-6227	52	6	-	-	ADJ
ejpam-6227	52	7	attribute	attribute	NOUN
ejpam-6227	52	8	group	group	NOUN
ejpam-6227	52	9	decision	decision	NOUN
ejpam-6227	52	10	-	-	PUNCT
ejpam-6227	52	11	making	making	NOUN
ejpam-6227	52	12	under	under	ADP
ejpam-6227	52	13	interval	interval	NOUN
ejpam-6227	52	14	-	-	PUNCT
ejpam-6227	52	15	valued	value	VERB
ejpam-6227	52	16	pythagorean	pythagorean	PROPN
ejpam-6227	52	17	fuzzy	fuzzy	ADJ
ejpam-6227	52	18	information	information	NOUN
ejpam-6227	52	19	,	,	PUNCT
ejpam-6227	52	20	rahman	rahman	PROPN
ejpam-6227	52	21	et	et	PROPN
ejpam-6227	52	22	al	al	PROPN
ejpam-6227	52	23	.	.	PUNCT
ejpam-6227	53	1	[	[	X
ejpam-6227	53	2	4	4	X
ejpam-6227	53	3	]	]	PUNCT
ejpam-6227	53	4	presented	present	VERB
ejpam-6227	53	5	an	an	DET
ejpam-6227	53	6	operator	operator	NOUN
ejpam-6227	53	7	.	.	PUNCT
ejpam-6227	54	1	the	the	DET
ejpam-6227	54	2	value	value	NOUN
ejpam-6227	54	3	and	and	CCONJ
ejpam-6227	54	4	compatibility	compatibility	NOUN
ejpam-6227	54	5	of	of	ADP
ejpam-6227	54	6	the	the	DET
ejpam-6227	54	7	discussed	discuss	VERB
ejpam-6227	54	8	methodologies	methodology	NOUN
ejpam-6227	54	9	and	and	CCONJ
ejpam-6227	54	10	decision	decision	NOUN
ejpam-6227	54	11	support	support	NOUN
ejpam-6227	54	12	systems	system	NOUN
ejpam-6227	54	13	were	be	AUX
ejpam-6227	54	14	examined	examine	VERB
ejpam-6227	54	15	[	[	X
ejpam-6227	54	16	1	1	NUM
ejpam-6227	54	17	,	,	PUNCT
ejpam-6227	54	18	2	2	NUM
ejpam-6227	54	19	]	]	PUNCT
ejpam-6227	54	20	.	.	PUNCT
ejpam-6227	55	1	the	the	DET
ejpam-6227	55	2	generalized	generalized	ADJ
ejpam-6227	55	3	ivpnfwg	ivpnfwg	NOUN
ejpam-6227	55	4	operator	operator	NOUN
ejpam-6227	55	5	were	be	AUX
ejpam-6227	55	6	presented	present	VERB
ejpam-6227	55	7	by	by	ADP
ejpam-6227	55	8	yang	yang	PROPN
ejpam-6227	55	9	et	et	PROPN
ejpam-6227	55	10	al	al	PROPN
ejpam-6227	55	11	.	.	PUNCT
ejpam-6227	56	1	[	[	X
ejpam-6227	56	2	14	14	NUM
ejpam-6227	56	3	]	]	PUNCT
ejpam-6227	56	4	to	to	PART
ejpam-6227	56	5	aggregate	aggregate	VERB
ejpam-6227	56	6	ivpnf	ivpnf	PROPN
ejpam-6227	56	7	information	information	NOUN
ejpam-6227	56	8	.	.	PUNCT
ejpam-6227	57	1	petchimuthu	petchimuthu	PROPN
ejpam-6227	57	2	et	et	PROPN
ejpam-6227	57	3	al	al	PROPN
ejpam-6227	57	4	.	.	PUNCT
ejpam-6227	58	1	[	[	X
ejpam-6227	58	2	47	47	NUM
ejpam-6227	58	3	]	]	PUNCT
ejpam-6227	58	4	,	,	PUNCT
ejpam-6227	58	5	a	a	DET
ejpam-6227	58	6	new	new	ADJ
ejpam-6227	58	7	concept	concept	NOUN
ejpam-6227	58	8	of	of	ADP
ejpam-6227	58	9	pythagorean	pythagorean	PROPN
ejpam-6227	58	10	neutrosophic	neutrosophic	ADJ
ejpam-6227	58	11	normal	normal	ADJ
ejpam-6227	58	12	interval	interval	NOUN
ejpam-6227	58	13	-	-	PUNCT
ejpam-6227	58	14	valued	value	VERB
ejpam-6227	58	15	weighted	weight	VERB
ejpam-6227	58	16	averaging	averaging	NOUN
ejpam-6227	58	17	(	(	PUNCT
ejpam-6227	58	18	pnsnivwa	pnsnivwa	PROPN
ejpam-6227	58	19	)	)	PUNCT
ejpam-6227	58	20	,	,	PUNCT
ejpam-6227	58	21	pythagorean	pythagorean	PROPN
ejpam-6227	58	22	neutrosophic	neutrosophic	ADJ
ejpam-6227	58	23	normal	normal	ADJ
ejpam-6227	58	24	interval	interval	NOUN
ejpam-6227	58	25	-	-	PUNCT
ejpam-6227	58	26	valued	value	VERB
ejpam-6227	58	27	weighted	weight	VERB
ejpam-6227	58	28	geometric	geometric	ADJ
ejpam-6227	58	29	(	(	PUNCT
ejpam-6227	58	30	pnsnivwg	pnsnivwg	NOUN
ejpam-6227	58	31	)	)	PUNCT
ejpam-6227	58	32	,	,	PUNCT
ejpam-6227	58	33	and	and	CCONJ
ejpam-6227	58	34	generalized	generalized	ADJ
ejpam-6227	58	35	pythagorean	pythagorean	PROPN
ejpam-6227	58	36	neutrosophic	neutrosophic	ADJ
ejpam-6227	58	37	normal	normal	ADJ
ejpam-6227	58	38	interval	interval	NOUN
ejpam-6227	58	39	-	-	PUNCT
ejpam-6227	58	40	valued	value	VERB
ejpam-6227	58	41	weighted	weight	VERB
ejpam-6227	58	42	averaging	averaging	NOUN
ejpam-6227	58	43	(	(	PUNCT
ejpam-6227	58	44	gpnsnivwa	gpnsnivwa	NOUN
ejpam-6227	58	45	)	)	PUNCT
ejpam-6227	58	46	as	as	ADV
ejpam-6227	58	47	well	well	ADV
ejpam-6227	58	48	as	as	ADP
ejpam-6227	58	49	generalized	generalized	ADJ
ejpam-6227	58	50	pythagorean	pythagorean	PROPN
ejpam-6227	58	51	neutrosophic	neutrosophic	ADJ
ejpam-6227	58	52	normal	normal	ADJ
ejpam-6227	58	53	interval	interval	NOUN
ejpam-6227	58	54	-	-	PUNCT
ejpam-6227	58	55	valued	value	VERB
ejpam-6227	58	56	weighted	weight	VERB
ejpam-6227	58	57	geometric	geometric	ADJ
ejpam-6227	58	58	(	(	PUNCT
ejpam-6227	58	59	gpnsnivwg	gpnsnivwg	NOUN
ejpam-6227	58	60	)	)	PUNCT
ejpam-6227	58	61	were	be	AUX
ejpam-6227	58	62	discussed	discuss	VERB
ejpam-6227	58	63	by	by	ADP
ejpam-6227	58	64	palanikumar	palanikumar	PROPN
ejpam-6227	58	65	et	et	PROPN
ejpam-6227	58	66	al	al	PROPN
ejpam-6227	58	67	.	.	PUNCT
ejpam-6227	59	1	[	[	X
ejpam-6227	59	2	43	43	NUM
ejpam-6227	59	3	]	]	PUNCT
ejpam-6227	59	4	and	and	CCONJ
ejpam-6227	59	5	peng	peng	PROPN
ejpam-6227	59	6	et	et	PROPN
ejpam-6227	59	7	al.[44	al.[44	PROPN
ejpam-6227	59	8	]	]	PUNCT
ejpam-6227	59	9	.	.	PUNCT
ejpam-6227	60	1	figure	figure	NOUN
ejpam-6227	60	2	2	2	NUM
ejpam-6227	60	3	gives	give	VERB
ejpam-6227	60	4	methods	method	NOUN
ejpam-6227	60	5	for	for	ADP
ejpam-6227	60	6	enhancing	enhance	VERB
ejpam-6227	60	7	as	as	ADP
ejpam-6227	60	8	based	base	VERB
ejpam-6227	60	9	on	on	ADP
ejpam-6227	60	10	the	the	DET
ejpam-6227	60	11	consistency	consistency	NOUN
ejpam-6227	60	12	of	of	ADP
ejpam-6227	60	13	the	the	DET
ejpam-6227	60	14	inplpr	inplpr	NOUN
ejpam-6227	60	15	,	,	PUNCT
ejpam-6227	60	16	wang	wang	PROPN
ejpam-6227	60	17	et	et	PROPN
ejpam-6227	60	18	al	al	PROPN
ejpam-6227	60	19	.	.	PUNCT
ejpam-6227	61	1	[	[	X
ejpam-6227	61	2	7	7	X
ejpam-6227	61	3	]	]	PUNCT
ejpam-6227	61	4	created	create	VERB
ejpam-6227	61	5	a	a	DET
ejpam-6227	61	6	decision	decision	NOUN
ejpam-6227	61	7	-	-	PUNCT
ejpam-6227	61	8	making	make	VERB
ejpam-6227	61	9	method	method	NOUN
ejpam-6227	61	10	that	that	PRON
ejpam-6227	61	11	includes	include	VERB
ejpam-6227	61	12	estimating	estimate	VERB
ejpam-6227	61	13	missing	miss	VERB
ejpam-6227	61	14	data	datum	NOUN
ejpam-6227	61	15	,	,	PUNCT
ejpam-6227	61	16	enhancing	enhance	VERB
ejpam-6227	61	17	consistency	consistency	NOUN
ejpam-6227	61	18	,	,	PUNCT
ejpam-6227	61	19	and	and	CCONJ
ejpam-6227	61	20	evaluating	evaluate	VERB
ejpam-6227	61	21	the	the	DET
ejpam-6227	61	22	options	option	NOUN
ejpam-6227	61	23	.	.	PUNCT
ejpam-6227	62	1	an	an	DET
ejpam-6227	62	2	incomplete	incomplete	ADJ
ejpam-6227	62	3	probabilistic	probabilistic	ADJ
ejpam-6227	62	4	linguistic	linguistic	ADJ
ejpam-6227	62	5	term	term	NOUN
ejpam-6227	62	6	set	set	NOUN
ejpam-6227	62	7	was	be	AUX
ejpam-6227	62	8	presented	present	VERB
ejpam-6227	62	9	by	by	ADP
ejpam-6227	62	10	liu	liu	PROPN
ejpam-6227	62	11	et	et	PROPN
ejpam-6227	62	12	al	al	PROPN
ejpam-6227	62	13	.	.	PUNCT
ejpam-6227	63	1	[	[	X
ejpam-6227	63	2	41	41	NUM
ejpam-6227	63	3	]	]	PUNCT
ejpam-6227	63	4	.	.	PUNCT
ejpam-6227	64	1	the	the	DET
ejpam-6227	64	2	distinction	distinction	NOUN
ejpam-6227	64	3	between	between	ADP
ejpam-6227	64	4	absolute	absolute	ADJ
ejpam-6227	64	5	and	and	CCONJ
ejpam-6227	64	6	relative	relative	ADJ
ejpam-6227	64	7	knowledge	knowledge	NOUN
ejpam-6227	64	8	distances	distance	NOUN
ejpam-6227	64	9	in	in	ADP
ejpam-6227	64	10	the	the	DET
ejpam-6227	64	11	structural	structural	ADJ
ejpam-6227	64	12	characteristics	characteristic	NOUN
ejpam-6227	64	13	of	of	ADP
ejpam-6227	64	14	hierarchical	hierarchical	ADJ
ejpam-6227	64	15	clustering	clustering	NOUN
ejpam-6227	64	16	was	be	AUX
ejpam-6227	64	17	examined	examine	VERB
ejpam-6227	64	18	by	by	ADP
ejpam-6227	64	19	lian	lian	PROPN
ejpam-6227	64	20	et	et	PROPN
ejpam-6227	64	21	al	al	PROPN
ejpam-6227	64	22	.	.	PUNCT
ejpam-6227	65	1	[	[	X
ejpam-6227	65	2	?	?	X
ejpam-6227	65	3	]	]	PUNCT
ejpam-6227	65	4	.	.	PUNCT
ejpam-6227	66	1	anusha	anusha	PROPN
ejpam-6227	66	2	et	et	PROPN
ejpam-6227	66	3	al	al	PROPN
ejpam-6227	66	4	.	.	PUNCT
ejpam-6227	67	1	[	[	X
ejpam-6227	67	2	62	62	NUM
ejpam-6227	67	3	]	]	PUNCT
ejpam-6227	67	4	covered	cover	VERB
ejpam-6227	67	5	the	the	DET
ejpam-6227	67	6	hybridizations	hybridization	NOUN
ejpam-6227	67	7	in	in	ADP
ejpam-6227	67	8	addition	addition	NOUN
ejpam-6227	67	9	to	to	ADP
ejpam-6227	67	10	providing	provide	VERB
ejpam-6227	67	11	an	an	DET
ejpam-6227	67	12	extension	extension	NOUN
ejpam-6227	67	13	of	of	ADP
ejpam-6227	67	14	the	the	DET
ejpam-6227	67	15	msm	msm	NOUN
ejpam-6227	67	16	operators	operator	NOUN
ejpam-6227	67	17	and	and	CCONJ
ejpam-6227	67	18	their	their	PRON
ejpam-6227	67	19	requests	request	NOUN
ejpam-6227	67	20	based	base	VERB
ejpam-6227	67	21	on	on	ADP
ejpam-6227	67	22	q	q	ADJ
ejpam-6227	67	23	-	-	PUNCT
ejpam-6227	67	24	rung	rung	ADJ
ejpam-6227	67	25	probabilistic	probabilistic	ADJ
ejpam-6227	67	26	dual	dual	ADV
ejpam-6227	67	27	hesitant	hesitant	ADJ
ejpam-6227	67	28	fuzzy	fuzzy	ADJ
ejpam-6227	67	29	sets	set	NOUN
ejpam-6227	67	30	.	.	PUNCT
ejpam-6227	68	1	depending	depend	VERB
ejpam-6227	68	2	on	on	ADP
ejpam-6227	68	3	the	the	DET
ejpam-6227	68	4	evaluation	evaluation	NOUN
ejpam-6227	68	5	values	value	NOUN
ejpam-6227	68	6	of	of	ADP
ejpam-6227	68	7	each	each	DET
ejpam-6227	68	8	choice	choice	NOUN
ejpam-6227	68	9	,	,	PUNCT
ejpam-6227	68	10	it	it	PRON
ejpam-6227	68	11	is	be	AUX
ejpam-6227	68	12	frequently	frequently	ADV
ejpam-6227	68	13	possible	possible	ADJ
ejpam-6227	68	14	to	to	PART
ejpam-6227	68	15	examine	examine	VERB
ejpam-6227	68	16	many	many	ADJ
ejpam-6227	68	17	possibilities	possibility	NOUN
ejpam-6227	68	18	to	to	PART
ejpam-6227	68	19	arrive	arrive	VERB
ejpam-6227	68	20	at	at	ADP
ejpam-6227	68	21	a	a	DET
ejpam-6227	68	22	comprehensive	comprehensive	ADJ
ejpam-6227	68	23	assessment	assessment	NOUN
ejpam-6227	68	24	result	result	NOUN
ejpam-6227	68	25	,	,	PUNCT
ejpam-6227	68	26	for	for	ADP
ejpam-6227	68	27	example	example	NOUN
ejpam-6227	68	28	by	by	ADP
ejpam-6227	68	29	using	use	VERB
ejpam-6227	68	30	madm	madm	NOUN
ejpam-6227	68	31	.	.	PUNCT
ejpam-6227	69	1	a	a	DET
ejpam-6227	69	2	unique	unique	ADJ
ejpam-6227	69	3	approach	approach	NOUN
ejpam-6227	69	4	to	to	ADP
ejpam-6227	69	5	selecting	select	VERB
ejpam-6227	69	6	robotic	robotic	ADJ
ejpam-6227	69	7	systems	system	NOUN
ejpam-6227	69	8	for	for	ADP
ejpam-6227	69	9	homogenous	homogenous	ADJ
ejpam-6227	69	10	group	group	NOUN
ejpam-6227	69	11	dm	dm	PROPN
ejpam-6227	69	12	was	be	AUX
ejpam-6227	69	13	presented	present	VERB
ejpam-6227	69	14	by	by	ADP
ejpam-6227	69	15	bairagi	bairagi	NOUN
ejpam-6227	69	16	[	[	X
ejpam-6227	69	17	64	64	NUM
ejpam-6227	69	18	]	]	PUNCT
ejpam-6227	69	19	.	.	PUNCT
ejpam-6227	70	1	these	these	DET
ejpam-6227	70	2	operators	operator	NOUN
ejpam-6227	70	3	were	be	AUX
ejpam-6227	70	4	utilized	utilize	VERB
ejpam-6227	70	5	to	to	PART
ejpam-6227	70	6	devise	devise	VERB
ejpam-6227	70	7	a	a	DET
ejpam-6227	70	8	method	method	NOUN
ejpam-6227	70	9	for	for	ADP
ejpam-6227	70	10	handling	handle	VERB
ejpam-6227	70	11	group	group	NOUN
ejpam-6227	70	12	decision	decision	NOUN
ejpam-6227	70	13	-	-	PUNCT
ejpam-6227	70	14	making	making	NOUN
ejpam-6227	70	15	with	with	ADP
ejpam-6227	70	16	cpf	cpf	PROPN
ejpam-6227	70	17	information	information	NOUN
ejpam-6227	70	18	,	,	PUNCT
ejpam-6227	70	19	introduced	introduce	VERB
ejpam-6227	70	20	the	the	DET
ejpam-6227	70	21	artificial	artificial	ADJ
ejpam-6227	70	22	intelligence	intelligence	NOUN
ejpam-6227	70	23	applied	apply	VERB
ejpam-6227	70	24	in	in	ADP
ejpam-6227	70	25	dm	dm	PROPN
ejpam-6227	70	26	to	to	PART
ejpam-6227	70	27	choose	choose	VERB
ejpam-6227	70	28	a	a	DET
ejpam-6227	70	29	maintenance	maintenance	NOUN
ejpam-6227	70	30	approach	approach	NOUN
ejpam-6227	70	31	and	and	CCONJ
ejpam-6227	70	32	other	other	ADJ
ejpam-6227	70	33	research	research	NOUN
ejpam-6227	71	1	[	[	X
ejpam-6227	71	2	7–12	7–12	PROPN
ejpam-6227	71	3	,	,	PUNCT
ejpam-6227	71	4	16	16	NUM
ejpam-6227	71	5	,	,	PUNCT
ejpam-6227	71	6	40	40	NUM
ejpam-6227	71	7	,	,	PUNCT
ejpam-6227	71	8	42	42	NUM
ejpam-6227	71	9	,	,	PUNCT
ejpam-6227	71	10	65	65	NUM
ejpam-6227	71	11	]	]	PUNCT
ejpam-6227	71	12	.	.	PUNCT
ejpam-6227	72	1	figure	figure	NOUN
ejpam-6227	72	2	3	3	NUM
ejpam-6227	72	3	gives	give	VERB
ejpam-6227	72	4	the	the	DET
ejpam-6227	72	5	as	as	ADP
ejpam-6227	72	6	mcdm	mcdm	ADJ
ejpam-6227	72	7	method	method	NOUN
ejpam-6227	72	8	below	below	ADV
ejpam-6227	72	9	is	be	AUX
ejpam-6227	72	10	this	this	DET
ejpam-6227	72	11	manuscript	manuscript	NOUN
ejpam-6227	72	12	is	be	AUX
ejpam-6227	72	13	structured	structure	VERB
ejpam-6227	72	14	as	as	SCONJ
ejpam-6227	72	15	follows	follow	VERB
ejpam-6227	72	16	:	:	PUNCT
ejpam-6227	72	17	section	section	NOUN
ejpam-6227	72	18	2	2	NUM
ejpam-6227	72	19	introduces	introduce	VERB
ejpam-6227	72	20	the	the	DET
ejpam-6227	72	21	concept	concept	NOUN
ejpam-6227	72	22	of	of	ADP
ejpam-6227	72	23	ifss	ifss	NOUN
ejpam-6227	72	24	.	.	PUNCT
ejpam-6227	73	1	section	section	NOUN
ejpam-6227	73	2	3	3	NUM
ejpam-6227	73	3	presents	present	VERB
ejpam-6227	73	4	operational	operational	ADJ
ejpam-6227	73	5	rules	rule	NOUN
ejpam-6227	73	6	for	for	ADP
ejpam-6227	73	7	tifss	tifss	NOUN
ejpam-6227	73	8	,	,	PUNCT
ejpam-6227	73	9	including	include	VERB
ejpam-6227	73	10	algebraic	algebraic	ADJ
ejpam-6227	73	11	and	and	CCONJ
ejpam-6227	73	12	frank	frank	ADJ
ejpam-6227	73	13	operational	operational	ADJ
ejpam-6227	73	14	laws	law	NOUN
ejpam-6227	73	15	.	.	PUNCT
ejpam-6227	74	1	in	in	ADP
ejpam-6227	74	2	section	section	NOUN
ejpam-6227	74	3	4	4	NUM
ejpam-6227	74	4	,	,	PUNCT
ejpam-6227	74	5	we	we	PRON
ejpam-6227	74	6	propose	propose	VERB
ejpam-6227	74	7	the	the	DET
ejpam-6227	74	8	tiffwa	tiffwa	NOUN
ejpam-6227	74	9	,	,	PUNCT
ejpam-6227	74	10	tiffowa	tiffowa	ADJ
ejpam-6227	74	11	,	,	PUNCT
ejpam-6227	74	12	tiffhwa	tiffhwa	NOUN
ejpam-6227	74	13	,	,	PUNCT
ejpam-6227	74	14	tiffwg	tiffwg	NOUN
ejpam-6227	74	15	,	,	PUNCT
ejpam-6227	74	16	tiffowg	tiffowg	NOUN
ejpam-6227	74	17	and	and	CCONJ
ejpam-6227	74	18	tiffhwg	tiffhwg	NOUN
ejpam-6227	74	19	operators	operator	NOUN
ejpam-6227	74	20	.	.	PUNCT
ejpam-6227	75	1	section	section	NOUN
ejpam-6227	75	2	5	5	NUM
ejpam-6227	75	3	outlines	outline	VERB
ejpam-6227	75	4	an	an	DET
ejpam-6227	75	5	optimized	optimize	VERB
ejpam-6227	75	6	mcdm	mcdm	ADJ
ejpam-6227	75	7	process	process	NOUN
ejpam-6227	75	8	for	for	ADP
ejpam-6227	75	9	the	the	DET
ejpam-6227	75	10	tif	tif	PROPN
ejpam-6227	75	11	model	model	NOUN
ejpam-6227	75	12	.	.	PUNCT
ejpam-6227	76	1	section	section	NOUN
ejpam-6227	76	2	6	6	NUM
ejpam-6227	76	3	,	,	PUNCT
ejpam-6227	76	4	define	define	VERB
ejpam-6227	76	5	the	the	DET
ejpam-6227	76	6	case	case	NOUN
ejpam-6227	76	7	study	study	NOUN
ejpam-6227	76	8	and	and	CCONJ
ejpam-6227	76	9	a	a	DET
ejpam-6227	76	10	comparative	comparative	ADJ
ejpam-6227	76	11	analysis	analysis	NOUN
ejpam-6227	76	12	.	.	PUNCT
ejpam-6227	77	1	finally	finally	ADV
ejpam-6227	77	2	,	,	PUNCT
ejpam-6227	77	3	section	section	NOUN
ejpam-6227	77	4	7	7	NUM
ejpam-6227	77	5	concludes	conclude	VERB
ejpam-6227	77	6	the	the	DET
ejpam-6227	77	7	study	study	NOUN
ejpam-6227	77	8	.	.	PUNCT
ejpam-6227	78	1	1.1	1.1	NUM
ejpam-6227	78	2	.	.	PUNCT
ejpam-6227	78	3	contribution	contribution	NOUN
ejpam-6227	78	4	of	of	ADP
ejpam-6227	78	5	study	study	VERB
ejpam-6227	78	6	the	the	DET
ejpam-6227	78	7	application	application	NOUN
ejpam-6227	78	8	of	of	ADP
ejpam-6227	78	9	triangular	triangular	NOUN
ejpam-6227	78	10	intuitionistic	intuitionistic	ADJ
ejpam-6227	78	11	fuzzy	fuzzy	ADJ
ejpam-6227	78	12	frank	frank	ADJ
ejpam-6227	78	13	aggregation	aggregation	NOUN
ejpam-6227	78	14	operators	operator	NOUN
ejpam-6227	78	15	(	(	PUNCT
ejpam-6227	78	16	tiffao	tiffao	ADV
ejpam-6227	78	17	)	)	PUNCT
ejpam-6227	78	18	has	have	AUX
ejpam-6227	78	19	significantly	significantly	ADV
ejpam-6227	78	20	advanced	advance	VERB
ejpam-6227	78	21	the	the	DET
ejpam-6227	78	22	efficient	efficient	ADJ
ejpam-6227	78	23	selection	selection	NOUN
ejpam-6227	78	24	of	of	ADP
ejpam-6227	78	25	renewable	renewable	ADJ
ejpam-6227	78	26	energy	energy	NOUN
ejpam-6227	78	27	projects	project	NOUN
ejpam-6227	78	28	by	by	ADP
ejpam-6227	78	29	effectively	effectively	ADV
ejpam-6227	78	30	addressing	address	VERB
ejpam-6227	78	31	uncertainty	uncertainty	NOUN
ejpam-6227	78	32	and	and	CCONJ
ejpam-6227	78	33	optimizing	optimize	VERB
ejpam-6227	78	34	project	project	NOUN
ejpam-6227	78	35	evaluations	evaluation	NOUN
ejpam-6227	78	36	.	.	PUNCT
ejpam-6227	79	1	the	the	DET
ejpam-6227	79	2	main	main	ADJ
ejpam-6227	79	3	contributions	contribution	NOUN
ejpam-6227	79	4	of	of	ADP
ejpam-6227	79	5	this	this	DET
ejpam-6227	79	6	study	study	NOUN
ejpam-6227	79	7	are	be	AUX
ejpam-6227	79	8	as	as	SCONJ
ejpam-6227	79	9	follows	follow	VERB
ejpam-6227	79	10	:	:	PUNCT
ejpam-6227	79	11	(	(	PUNCT
ejpam-6227	79	12	a	a	X
ejpam-6227	79	13	)	)	PUNCT
ejpam-6227	79	14	operational	operational	ADJ
ejpam-6227	79	15	laws	law	NOUN
ejpam-6227	79	16	and	and	CCONJ
ejpam-6227	79	17	triangular	triangular	NOUN
ejpam-6227	79	18	intuitionistic	intuitionistic	ADJ
ejpam-6227	79	19	fuzzy	fuzzy	ADJ
ejpam-6227	79	20	numbers	number	NOUN
ejpam-6227	79	21	(	(	PUNCT
ejpam-6227	79	22	tifn	tifn	NOUN
ejpam-6227	79	23	)	)	PUNCT
ejpam-6227	79	24	are	be	AUX
ejpam-6227	79	25	defined	define	VERB
ejpam-6227	79	26	to	to	PART
ejpam-6227	79	27	provide	provide	VERB
ejpam-6227	79	28	a	a	DET
ejpam-6227	79	29	solid	solid	ADJ
ejpam-6227	79	30	mathematical	mathematical	ADJ
ejpam-6227	79	31	basis	basis	NOUN
ejpam-6227	79	32	for	for	ADP
ejpam-6227	79	33	selecting	select	VERB
ejpam-6227	79	34	renewable	renewable	ADJ
ejpam-6227	79	35	energy	energy	NOUN
ejpam-6227	79	36	projects	project	NOUN
ejpam-6227	79	37	.	.	PUNCT
ejpam-6227	80	1	(	(	PUNCT
ejpam-6227	80	2	b	b	X
ejpam-6227	80	3	)	)	PUNCT
ejpam-6227	80	4	a	a	DET
ejpam-6227	80	5	novel	novel	ADJ
ejpam-6227	80	6	accuracy	accuracy	NOUN
ejpam-6227	80	7	and	and	CCONJ
ejpam-6227	80	8	scoring	scoring	NOUN
ejpam-6227	80	9	function	function	NOUN
ejpam-6227	80	10	is	be	AUX
ejpam-6227	80	11	introduced	introduce	VERB
ejpam-6227	80	12	to	to	PART
ejpam-6227	80	13	improve	improve	VERB
ejpam-6227	80	14	the	the	DET
ejpam-6227	80	15	precision	precision	NOUN
ejpam-6227	80	16	of	of	ADP
ejpam-6227	80	17	decisionmaking	decisionmake	VERB
ejpam-6227	80	18	processes	process	NOUN
ejpam-6227	80	19	in	in	ADP
ejpam-6227	80	20	renewable	renewable	ADJ
ejpam-6227	80	21	energy	energy	NOUN
ejpam-6227	80	22	project	project	NOUN
ejpam-6227	80	23	evaluations	evaluation	NOUN
ejpam-6227	80	24	.	.	PUNCT
ejpam-6227	81	1	(	(	PUNCT
ejpam-6227	81	2	c	c	X
ejpam-6227	81	3	)	)	PUNCT
ejpam-6227	81	4	various	various	ADJ
ejpam-6227	81	5	tifn	tifn	NOUN
ejpam-6227	81	6	aggregation	aggregation	NOUN
ejpam-6227	81	7	operators	operator	NOUN
ejpam-6227	81	8	are	be	AUX
ejpam-6227	81	9	introduced	introduce	VERB
ejpam-6227	81	10	,	,	PUNCT
ejpam-6227	81	11	such	such	ADJ
ejpam-6227	81	12	as	as	ADP
ejpam-6227	81	13	tiffwa	tiffwa	NOUN
ejpam-6227	81	14	,	,	PUNCT
ejpam-6227	81	15	tiffowa	tiffowa	ADJ
ejpam-6227	81	16	,	,	PUNCT
ejpam-6227	81	17	tiffhwa	tiffhwa	NOUN
ejpam-6227	81	18	,	,	PUNCT
ejpam-6227	81	19	tiffwg	tiffwg	NOUN
ejpam-6227	81	20	,	,	PUNCT
ejpam-6227	81	21	tiffowg	tiffowg	NOUN
ejpam-6227	81	22	and	and	CCONJ
ejpam-6227	81	23	tiffhwg	tiffhwg	NOUN
ejpam-6227	81	24	,	,	PUNCT
ejpam-6227	81	25	tailored	tailor	VERB
ejpam-6227	81	26	for	for	ADP
ejpam-6227	81	27	multi	multi	ADJ
ejpam-6227	81	28	-	-	ADJ
ejpam-6227	81	29	criteria	criterion	NOUN
ejpam-6227	81	30	decision	decision	NOUN
ejpam-6227	81	31	-	-	PUNCT
ejpam-6227	81	32	making	making	NOUN
ejpam-6227	81	33	(	(	PUNCT
ejpam-6227	81	34	mcdm	mcdm	ADJ
ejpam-6227	81	35	)	)	PUNCT
ejpam-6227	81	36	in	in	ADP
ejpam-6227	81	37	renewable	renewable	ADJ
ejpam-6227	81	38	energy	energy	NOUN
ejpam-6227	81	39	project	project	NOUN
ejpam-6227	81	40	selection	selection	NOUN
ejpam-6227	81	41	.	.	PUNCT
ejpam-6227	82	1	these	these	DET
ejpam-6227	82	2	operators	operator	NOUN
ejpam-6227	82	3	enhance	enhance	VERB
ejpam-6227	82	4	the	the	DET
ejpam-6227	82	5	adaptability	adaptability	NOUN
ejpam-6227	82	6	and	and	CCONJ
ejpam-6227	82	7	a.	a.	NOUN
ejpam-6227	82	8	fahmi	fahmi	PROPN
ejpam-6227	82	9	et	et	PROPN
ejpam-6227	82	10	al	al	PROPN
ejpam-6227	82	11	.	.	PUNCT
ejpam-6227	82	12	/	/	SYM
ejpam-6227	82	13	eur	eur	PROPN
ejpam-6227	82	14	.	.	PUNCT
ejpam-6227	83	1	j.	j.	PROPN
ejpam-6227	83	2	pure	pure	PROPN
ejpam-6227	83	3	appl	appl	PROPN
ejpam-6227	83	4	.	.	PROPN
ejpam-6227	83	5	math	math	PROPN
ejpam-6227	83	6	,	,	PUNCT
ejpam-6227	83	7	18	18	NUM
ejpam-6227	83	8	(	(	PUNCT
ejpam-6227	83	9	3	3	NUM
ejpam-6227	83	10	)	)	PUNCT
ejpam-6227	83	11	(	(	PUNCT
ejpam-6227	83	12	2025	2025	NUM
ejpam-6227	83	13	)	)	PUNCT
ejpam-6227	83	14	,	,	PUNCT
ejpam-6227	83	15	6227	6227	NUM
ejpam-6227	83	16	4	4	NUM
ejpam-6227	83	17	of	of	ADP
ejpam-6227	83	18	37	37	NUM
ejpam-6227	83	19	effectiveness	effectiveness	NOUN
ejpam-6227	83	20	of	of	ADP
ejpam-6227	83	21	evaluating	evaluate	VERB
ejpam-6227	83	22	projects	project	NOUN
ejpam-6227	83	23	under	under	ADP
ejpam-6227	83	24	dynamic	dynamic	ADJ
ejpam-6227	83	25	conditions	condition	NOUN
ejpam-6227	83	26	.	.	PUNCT
ejpam-6227	84	1	(	(	PUNCT
ejpam-6227	84	2	d	d	X
ejpam-6227	84	3	)	)	PUNCT
ejpam-6227	84	4	the	the	DET
ejpam-6227	84	5	tiffao	tiffao	ADJ
ejpam-6227	84	6	framework	framework	NOUN
ejpam-6227	84	7	efficiently	efficiently	ADV
ejpam-6227	84	8	processes	process	VERB
ejpam-6227	84	9	inconsistent	inconsistent	ADJ
ejpam-6227	84	10	and	and	CCONJ
ejpam-6227	84	11	diverse	diverse	ADJ
ejpam-6227	84	12	data	datum	NOUN
ejpam-6227	84	13	,	,	PUNCT
ejpam-6227	84	14	leading	lead	VERB
ejpam-6227	84	15	to	to	ADP
ejpam-6227	84	16	more	more	ADV
ejpam-6227	84	17	accurate	accurate	ADJ
ejpam-6227	84	18	selection	selection	NOUN
ejpam-6227	84	19	of	of	ADP
ejpam-6227	84	20	renewable	renewable	ADJ
ejpam-6227	84	21	energy	energy	NOUN
ejpam-6227	84	22	projects	project	NOUN
ejpam-6227	84	23	,	,	PUNCT
ejpam-6227	84	24	with	with	ADP
ejpam-6227	84	25	better	well	ADJ
ejpam-6227	84	26	forecasting	forecasting	NOUN
ejpam-6227	84	27	and	and	CCONJ
ejpam-6227	84	28	cost	cost	NOUN
ejpam-6227	84	29	management	management	NOUN
ejpam-6227	84	30	.	.	PUNCT
ejpam-6227	85	1	this	this	DET
ejpam-6227	85	2	method	method	NOUN
ejpam-6227	85	3	is	be	AUX
ejpam-6227	85	4	particularly	particularly	ADV
ejpam-6227	85	5	useful	useful	ADJ
ejpam-6227	85	6	in	in	ADP
ejpam-6227	85	7	evaluating	evaluate	VERB
ejpam-6227	85	8	projects	project	NOUN
ejpam-6227	85	9	where	where	SCONJ
ejpam-6227	85	10	factors	factor	NOUN
ejpam-6227	85	11	like	like	ADP
ejpam-6227	85	12	budget	budget	NOUN
ejpam-6227	85	13	,	,	PUNCT
ejpam-6227	85	14	environmental	environmental	ADJ
ejpam-6227	85	15	impact	impact	NOUN
ejpam-6227	85	16	,	,	PUNCT
ejpam-6227	85	17	and	and	CCONJ
ejpam-6227	85	18	technological	technological	ADJ
ejpam-6227	85	19	feasibility	feasibility	NOUN
ejpam-6227	85	20	vary	vary	NOUN
ejpam-6227	85	21	.	.	PUNCT
ejpam-6227	86	1	(	(	PUNCT
ejpam-6227	86	2	e	e	X
ejpam-6227	86	3	)	)	PUNCT
ejpam-6227	86	4	the	the	DET
ejpam-6227	86	5	tiffao	tiffao	ADJ
ejpam-6227	86	6	approach	approach	NOUN
ejpam-6227	86	7	excels	excel	NOUN
ejpam-6227	86	8	in	in	ADP
ejpam-6227	86	9	managing	manage	VERB
ejpam-6227	86	10	multi	multi	ADJ
ejpam-6227	86	11	-	-	ADJ
ejpam-6227	86	12	dimensional	dimensional	ADJ
ejpam-6227	86	13	evaluations	evaluation	NOUN
ejpam-6227	86	14	for	for	ADP
ejpam-6227	86	15	renewable	renewable	ADJ
ejpam-6227	86	16	energy	energy	NOUN
ejpam-6227	86	17	projects	project	NOUN
ejpam-6227	86	18	,	,	PUNCT
ejpam-6227	86	19	where	where	SCONJ
ejpam-6227	86	20	various	various	ADJ
ejpam-6227	86	21	factors	factor	NOUN
ejpam-6227	86	22	such	such	ADJ
ejpam-6227	86	23	as	as	ADP
ejpam-6227	86	24	energy	energy	NOUN
ejpam-6227	86	25	efficiency	efficiency	NOUN
ejpam-6227	86	26	,	,	PUNCT
ejpam-6227	86	27	sustainability	sustainability	NOUN
ejpam-6227	86	28	,	,	PUNCT
ejpam-6227	86	29	and	and	CCONJ
ejpam-6227	86	30	stakeholder	stakeholder	NOUN
ejpam-6227	86	31	needs	need	NOUN
ejpam-6227	86	32	must	must	AUX
ejpam-6227	86	33	be	be	AUX
ejpam-6227	86	34	balanced	balance	VERB
ejpam-6227	86	35	.	.	PUNCT
ejpam-6227	87	1	by	by	ADP
ejpam-6227	87	2	optimizing	optimize	VERB
ejpam-6227	87	3	the	the	DET
ejpam-6227	87	4	selection	selection	NOUN
ejpam-6227	87	5	process	process	NOUN
ejpam-6227	87	6	,	,	PUNCT
ejpam-6227	87	7	this	this	DET
ejpam-6227	87	8	method	method	NOUN
ejpam-6227	87	9	minimizes	minimize	VERB
ejpam-6227	87	10	uncertainties	uncertainty	NOUN
ejpam-6227	87	11	and	and	CCONJ
ejpam-6227	87	12	maximizes	maximize	VERB
ejpam-6227	87	13	the	the	DET
ejpam-6227	87	14	long	long	ADJ
ejpam-6227	87	15	-	-	PUNCT
ejpam-6227	87	16	term	term	NOUN
ejpam-6227	87	17	benefits	benefit	NOUN
ejpam-6227	87	18	of	of	ADP
ejpam-6227	87	19	the	the	DET
ejpam-6227	87	20	chosen	choose	VERB
ejpam-6227	87	21	projects	project	NOUN
ejpam-6227	87	22	.	.	PUNCT
ejpam-6227	88	1	this	this	DET
ejpam-6227	88	2	study	study	NOUN
ejpam-6227	88	3	offers	offer	VERB
ejpam-6227	88	4	a	a	DET
ejpam-6227	88	5	robust	robust	ADJ
ejpam-6227	88	6	methodology	methodology	NOUN
ejpam-6227	88	7	that	that	PRON
ejpam-6227	88	8	significantly	significantly	ADV
ejpam-6227	88	9	enhances	enhance	VERB
ejpam-6227	88	10	the	the	DET
ejpam-6227	88	11	selection	selection	NOUN
ejpam-6227	88	12	process	process	NOUN
ejpam-6227	88	13	for	for	ADP
ejpam-6227	88	14	renewable	renewable	ADJ
ejpam-6227	88	15	energy	energy	NOUN
ejpam-6227	88	16	projects	project	NOUN
ejpam-6227	88	17	,	,	PUNCT
ejpam-6227	88	18	providing	provide	VERB
ejpam-6227	88	19	a	a	DET
ejpam-6227	88	20	more	more	ADV
ejpam-6227	88	21	adaptive	adaptive	ADJ
ejpam-6227	88	22	,	,	PUNCT
ejpam-6227	88	23	efficient	efficient	ADJ
ejpam-6227	88	24	,	,	PUNCT
ejpam-6227	88	25	and	and	CCONJ
ejpam-6227	88	26	data	datum	NOUN
ejpam-6227	88	27	-	-	PUNCT
ejpam-6227	88	28	driven	drive	VERB
ejpam-6227	88	29	approach	approach	NOUN
ejpam-6227	88	30	to	to	ADP
ejpam-6227	88	31	making	make	VERB
ejpam-6227	88	32	informed	informed	ADJ
ejpam-6227	88	33	decisions	decision	NOUN
ejpam-6227	88	34	.	.	PUNCT
ejpam-6227	89	1	1.2	1.2	NUM
ejpam-6227	89	2	.	.	PUNCT
ejpam-6227	89	3	motivation	motivation	NOUN
ejpam-6227	89	4	this	this	DET
ejpam-6227	89	5	study	study	NOUN
ejpam-6227	89	6	focuses	focus	VERB
ejpam-6227	89	7	on	on	ADP
ejpam-6227	89	8	the	the	DET
ejpam-6227	89	9	challenge	challenge	NOUN
ejpam-6227	89	10	of	of	ADP
ejpam-6227	89	11	selecting	select	VERB
ejpam-6227	89	12	efficient	efficient	ADJ
ejpam-6227	89	13	renewable	renewable	ADJ
ejpam-6227	89	14	energy	energy	NOUN
ejpam-6227	89	15	projects	project	NOUN
ejpam-6227	89	16	,	,	PUNCT
ejpam-6227	89	17	providing	provide	VERB
ejpam-6227	89	18	a	a	DET
ejpam-6227	89	19	foundation	foundation	NOUN
ejpam-6227	89	20	for	for	ADP
ejpam-6227	89	21	future	future	ADJ
ejpam-6227	89	22	work	work	NOUN
ejpam-6227	89	23	in	in	ADP
ejpam-6227	89	24	the	the	DET
ejpam-6227	89	25	development	development	NOUN
ejpam-6227	89	26	of	of	ADP
ejpam-6227	89	27	intelligent	intelligent	ADJ
ejpam-6227	89	28	decision	decision	NOUN
ejpam-6227	89	29	-	-	PUNCT
ejpam-6227	89	30	making	make	VERB
ejpam-6227	89	31	systems	system	NOUN
ejpam-6227	89	32	for	for	ADP
ejpam-6227	89	33	energy	energy	NOUN
ejpam-6227	89	34	project	project	NOUN
ejpam-6227	89	35	evaluation	evaluation	NOUN
ejpam-6227	89	36	.	.	PUNCT
ejpam-6227	90	1	the	the	DET
ejpam-6227	90	2	triangular	triangular	NOUN
ejpam-6227	90	3	intuitionistic	intuitionistic	ADJ
ejpam-6227	90	4	fuzzy	fuzzy	ADJ
ejpam-6227	90	5	set	set	NOUN
ejpam-6227	90	6	(	(	PUNCT
ejpam-6227	90	7	tifs	tifs	PROPN
ejpam-6227	90	8	)	)	PUNCT
ejpam-6227	90	9	framework	framework	NOUN
ejpam-6227	90	10	has	have	AUX
ejpam-6227	90	11	been	be	AUX
ejpam-6227	90	12	designed	design	VERB
ejpam-6227	90	13	to	to	PART
ejpam-6227	90	14	allow	allow	VERB
ejpam-6227	90	15	energy	energy	NOUN
ejpam-6227	90	16	a.	a.	NOUN
ejpam-6227	90	17	fahmi	fahmi	PROPN
ejpam-6227	90	18	et	et	PROPN
ejpam-6227	90	19	al	al	PROPN
ejpam-6227	90	20	.	.	PUNCT
ejpam-6227	90	21	/	/	SYM
ejpam-6227	90	22	eur	eur	PROPN
ejpam-6227	90	23	.	.	PUNCT
ejpam-6227	91	1	j.	j.	PROPN
ejpam-6227	91	2	pure	pure	PROPN
ejpam-6227	91	3	appl	appl	PROPN
ejpam-6227	91	4	.	.	PROPN
ejpam-6227	91	5	math	math	PROPN
ejpam-6227	91	6	,	,	PUNCT
ejpam-6227	91	7	18	18	NUM
ejpam-6227	91	8	(	(	PUNCT
ejpam-6227	91	9	3	3	NUM
ejpam-6227	91	10	)	)	PUNCT
ejpam-6227	91	11	(	(	PUNCT
ejpam-6227	91	12	2025	2025	NUM
ejpam-6227	91	13	)	)	PUNCT
ejpam-6227	91	14	,	,	PUNCT
ejpam-6227	91	15	6227	6227	NUM
ejpam-6227	91	16	5	5	NUM
ejpam-6227	91	17	of	of	ADP
ejpam-6227	91	18	37	37	NUM
ejpam-6227	91	19	project	project	NOUN
ejpam-6227	91	20	evaluators	evaluator	NOUN
ejpam-6227	91	21	to	to	PART
ejpam-6227	91	22	offer	offer	VERB
ejpam-6227	91	23	insights	insight	NOUN
ejpam-6227	91	24	more	more	ADV
ejpam-6227	91	25	easily	easily	ADV
ejpam-6227	91	26	.	.	PUNCT
ejpam-6227	92	1	by	by	ADP
ejpam-6227	92	2	covering	cover	VERB
ejpam-6227	92	3	a	a	DET
ejpam-6227	92	4	wider	wide	ADJ
ejpam-6227	92	5	range	range	NOUN
ejpam-6227	92	6	of	of	ADP
ejpam-6227	92	7	information	information	NOUN
ejpam-6227	92	8	uncertainty	uncertainty	NOUN
ejpam-6227	92	9	,	,	PUNCT
ejpam-6227	92	10	preventing	prevent	VERB
ejpam-6227	92	11	the	the	DET
ejpam-6227	92	12	loss	loss	NOUN
ejpam-6227	92	13	of	of	ADP
ejpam-6227	92	14	critical	critical	ADJ
ejpam-6227	92	15	data	datum	NOUN
ejpam-6227	92	16	when	when	SCONJ
ejpam-6227	92	17	converting	convert	VERB
ejpam-6227	92	18	qualitative	qualitative	ADJ
ejpam-6227	92	19	project	project	NOUN
ejpam-6227	92	20	characteristics	characteristic	NOUN
ejpam-6227	92	21	into	into	ADP
ejpam-6227	92	22	quantitative	quantitative	ADJ
ejpam-6227	92	23	information	information	NOUN
ejpam-6227	92	24	.	.	PUNCT
ejpam-6227	93	1	the	the	DET
ejpam-6227	93	2	case	case	NOUN
ejpam-6227	93	3	study	study	NOUN
ejpam-6227	93	4	presented	present	VERB
ejpam-6227	93	5	can	can	AUX
ejpam-6227	93	6	be	be	AUX
ejpam-6227	93	7	adapted	adapt	VERB
ejpam-6227	93	8	for	for	ADP
ejpam-6227	93	9	use	use	NOUN
ejpam-6227	93	10	by	by	ADP
ejpam-6227	93	11	energy	energy	NOUN
ejpam-6227	93	12	project	project	NOUN
ejpam-6227	93	13	selection	selection	NOUN
ejpam-6227	93	14	teams	team	NOUN
ejpam-6227	93	15	,	,	PUNCT
ejpam-6227	93	16	helping	help	VERB
ejpam-6227	93	17	them	they	PRON
ejpam-6227	93	18	improve	improve	VERB
ejpam-6227	93	19	decision	decision	NOUN
ejpam-6227	93	20	-	-	PUNCT
ejpam-6227	93	21	making	make	VERB
ejpam-6227	93	22	processes	process	NOUN
ejpam-6227	93	23	through	through	ADP
ejpam-6227	93	24	structured	structured	ADJ
ejpam-6227	93	25	evaluation	evaluation	NOUN
ejpam-6227	93	26	.	.	PUNCT
ejpam-6227	94	1	this	this	DET
ejpam-6227	94	2	method	method	NOUN
ejpam-6227	94	3	provides	provide	VERB
ejpam-6227	94	4	a	a	DET
ejpam-6227	94	5	clear	clear	ADJ
ejpam-6227	94	6	path	path	NOUN
ejpam-6227	94	7	from	from	ADP
ejpam-6227	94	8	expert	expert	ADJ
ejpam-6227	94	9	opinions	opinion	NOUN
ejpam-6227	94	10	to	to	ADP
ejpam-6227	94	11	actionable	actionable	ADJ
ejpam-6227	94	12	project	project	NOUN
ejpam-6227	94	13	selection	selection	NOUN
ejpam-6227	94	14	solutions	solution	NOUN
ejpam-6227	94	15	.	.	PUNCT
ejpam-6227	95	1	renewable	renewable	ADJ
ejpam-6227	95	2	energy	energy	NOUN
ejpam-6227	95	3	project	project	NOUN
ejpam-6227	95	4	evaluation	evaluation	NOUN
ejpam-6227	95	5	data	datum	NOUN
ejpam-6227	95	6	is	be	AUX
ejpam-6227	95	7	often	often	ADV
ejpam-6227	95	8	complex	complex	ADJ
ejpam-6227	95	9	,	,	PUNCT
ejpam-6227	95	10	uncertain	uncertain	ADJ
ejpam-6227	95	11	,	,	PUNCT
ejpam-6227	95	12	and	and	CCONJ
ejpam-6227	95	13	incomplete	incomplete	ADJ
ejpam-6227	95	14	due	due	ADP
ejpam-6227	95	15	to	to	ADP
ejpam-6227	95	16	varying	vary	VERB
ejpam-6227	95	17	environmental	environmental	ADJ
ejpam-6227	95	18	conditions	condition	NOUN
ejpam-6227	95	19	,	,	PUNCT
ejpam-6227	95	20	technological	technological	ADJ
ejpam-6227	95	21	advancements	advancement	NOUN
ejpam-6227	95	22	,	,	PUNCT
ejpam-6227	95	23	and	and	CCONJ
ejpam-6227	95	24	stakeholder	stakeholder	NOUN
ejpam-6227	95	25	considerations	consideration	NOUN
ejpam-6227	95	26	.	.	PUNCT
ejpam-6227	96	1	conventional	conventional	ADJ
ejpam-6227	96	2	selection	selection	NOUN
ejpam-6227	96	3	methods	method	NOUN
ejpam-6227	96	4	struggle	struggle	VERB
ejpam-6227	96	5	with	with	ADP
ejpam-6227	96	6	such	such	ADJ
ejpam-6227	96	7	uncertainty	uncertainty	NOUN
ejpam-6227	96	8	.	.	PUNCT
ejpam-6227	97	1	the	the	DET
ejpam-6227	97	2	triangular	triangular	NOUN
ejpam-6227	97	3	intuitionistic	intuitionistic	ADJ
ejpam-6227	97	4	fuzzy	fuzzy	ADJ
ejpam-6227	97	5	frank	frank	ADJ
ejpam-6227	97	6	aggregation	aggregation	NOUN
ejpam-6227	97	7	operators	operator	NOUN
ejpam-6227	97	8	(	(	PUNCT
ejpam-6227	97	9	tiffao	tiffao	ADV
ejpam-6227	97	10	)	)	PUNCT
ejpam-6227	97	11	effectively	effectively	ADV
ejpam-6227	97	12	manage	manage	VERB
ejpam-6227	97	13	and	and	CCONJ
ejpam-6227	97	14	integrate	integrate	VERB
ejpam-6227	97	15	this	this	DET
ejpam-6227	97	16	data	datum	NOUN
ejpam-6227	97	17	,	,	PUNCT
ejpam-6227	97	18	significantly	significantly	ADV
ejpam-6227	97	19	improving	improve	VERB
ejpam-6227	97	20	the	the	DET
ejpam-6227	97	21	reliability	reliability	NOUN
ejpam-6227	97	22	of	of	ADP
ejpam-6227	97	23	project	project	NOUN
ejpam-6227	97	24	selection	selection	NOUN
ejpam-6227	97	25	decisions	decision	NOUN
ejpam-6227	97	26	and	and	CCONJ
ejpam-6227	97	27	enhancing	enhance	VERB
ejpam-6227	97	28	the	the	DET
ejpam-6227	97	29	overall	overall	ADJ
ejpam-6227	97	30	efficiency	efficiency	NOUN
ejpam-6227	97	31	of	of	ADP
ejpam-6227	97	32	renewable	renewable	ADJ
ejpam-6227	97	33	energy	energy	NOUN
ejpam-6227	97	34	project	project	NOUN
ejpam-6227	97	35	evaluation	evaluation	NOUN
ejpam-6227	97	36	systems	system	NOUN
ejpam-6227	97	37	.	.	PUNCT
ejpam-6227	98	1	1.3	1.3	NUM
ejpam-6227	98	2	.	.	PUNCT
ejpam-6227	98	3	novelty	novelty	NOUN
ejpam-6227	98	4	in	in	ADP
ejpam-6227	98	5	this	this	DET
ejpam-6227	98	6	article	article	NOUN
ejpam-6227	98	7	,	,	PUNCT
ejpam-6227	98	8	we	we	PRON
ejpam-6227	98	9	aim	aim	VERB
ejpam-6227	98	10	to	to	PART
ejpam-6227	98	11	design	design	VERB
ejpam-6227	98	12	the	the	DET
ejpam-6227	98	13	following	following	NOUN
ejpam-6227	98	14	:	:	PUNCT
ejpam-6227	98	15	i.	i.	NOUN
ejpam-6227	98	16	to	to	PART
ejpam-6227	98	17	define	define	VERB
ejpam-6227	98	18	advanced	advanced	ADJ
ejpam-6227	98	19	operational	operational	ADJ
ejpam-6227	98	20	laws	law	NOUN
ejpam-6227	98	21	for	for	ADP
ejpam-6227	98	22	triangular	triangular	NOUN
ejpam-6227	98	23	intuitionistic	intuitionistic	ADJ
ejpam-6227	98	24	fuzzy	fuzzy	ADJ
ejpam-6227	98	25	frank	frank	PROPN
ejpam-6227	98	26	statistics	statistic	NOUN
ejpam-6227	98	27	,	,	PUNCT
ejpam-6227	98	28	extending	extend	VERB
ejpam-6227	98	29	traditional	traditional	ADJ
ejpam-6227	98	30	operational	operational	ADJ
ejpam-6227	98	31	laws	law	NOUN
ejpam-6227	98	32	to	to	PART
ejpam-6227	98	33	effectively	effectively	ADV
ejpam-6227	98	34	address	address	VERB
ejpam-6227	98	35	the	the	DET
ejpam-6227	98	36	complexity	complexity	NOUN
ejpam-6227	98	37	of	of	ADP
ejpam-6227	98	38	renewable	renewable	ADJ
ejpam-6227	98	39	energy	energy	NOUN
ejpam-6227	98	40	project	project	NOUN
ejpam-6227	98	41	selection	selection	NOUN
ejpam-6227	98	42	and	and	CCONJ
ejpam-6227	98	43	assess	assess	VERB
ejpam-6227	98	44	its	its	PRON
ejpam-6227	98	45	mathematical	mathematical	ADJ
ejpam-6227	98	46	properties	property	NOUN
ejpam-6227	98	47	.	.	PUNCT
ejpam-6227	99	1	ii	ii	PROPN
ejpam-6227	99	2	.	.	PUNCT
ejpam-6227	99	3	to	to	PART
ejpam-6227	99	4	introduce	introduce	VERB
ejpam-6227	99	5	innovative	innovative	ADJ
ejpam-6227	99	6	aggregation	aggregation	NOUN
ejpam-6227	99	7	operators	operator	NOUN
ejpam-6227	99	8	,	,	PUNCT
ejpam-6227	99	9	such	such	ADJ
ejpam-6227	99	10	as	as	ADP
ejpam-6227	99	11	triangular	triangular	NOUN
ejpam-6227	99	12	intuitionistic	intuitionistic	ADJ
ejpam-6227	99	13	fuzzy	fuzzy	ADJ
ejpam-6227	99	14	frank	frank	ADJ
ejpam-6227	99	15	aggregation	aggregation	NOUN
ejpam-6227	99	16	operators	operator	NOUN
ejpam-6227	99	17	,	,	PUNCT
ejpam-6227	99	18	specifically	specifically	ADV
ejpam-6227	99	19	tailored	tailor	VERB
ejpam-6227	99	20	for	for	ADP
ejpam-6227	99	21	optimizing	optimize	VERB
ejpam-6227	99	22	the	the	DET
ejpam-6227	99	23	selection	selection	NOUN
ejpam-6227	99	24	process	process	NOUN
ejpam-6227	99	25	of	of	ADP
ejpam-6227	99	26	renewable	renewable	ADJ
ejpam-6227	99	27	energy	energy	NOUN
ejpam-6227	99	28	projects	project	NOUN
ejpam-6227	99	29	,	,	PUNCT
ejpam-6227	99	30	improving	improve	VERB
ejpam-6227	99	31	decision	decision	NOUN
ejpam-6227	99	32	-	-	PUNCT
ejpam-6227	99	33	making	making	NOUN
ejpam-6227	99	34	in	in	ADP
ejpam-6227	99	35	dynamic	dynamic	ADJ
ejpam-6227	99	36	evaluation	evaluation	NOUN
ejpam-6227	99	37	scenarios	scenario	NOUN
ejpam-6227	99	38	.	.	PUNCT
ejpam-6227	100	1	a.	a.	PROPN
ejpam-6227	100	2	fahmi	fahmi	PROPN
ejpam-6227	100	3	et	et	PROPN
ejpam-6227	100	4	al	al	PROPN
ejpam-6227	100	5	.	.	PUNCT
ejpam-6227	100	6	/	/	SYM
ejpam-6227	100	7	eur	eur	PROPN
ejpam-6227	100	8	.	.	PUNCT
ejpam-6227	101	1	j.	j.	PROPN
ejpam-6227	101	2	pure	pure	PROPN
ejpam-6227	101	3	appl	appl	PROPN
ejpam-6227	101	4	.	.	PROPN
ejpam-6227	101	5	math	math	PROPN
ejpam-6227	101	6	,	,	PUNCT
ejpam-6227	101	7	18	18	NUM
ejpam-6227	101	8	(	(	PUNCT
ejpam-6227	101	9	3	3	NUM
ejpam-6227	101	10	)	)	PUNCT
ejpam-6227	101	11	(	(	PUNCT
ejpam-6227	101	12	2025	2025	NUM
ejpam-6227	101	13	)	)	PUNCT
ejpam-6227	101	14	,	,	PUNCT
ejpam-6227	101	15	6227	6227	NUM
ejpam-6227	101	16	6	6	NUM
ejpam-6227	101	17	of	of	ADP
ejpam-6227	101	18	37	37	NUM
ejpam-6227	101	19	iii	iii	NOUN
ejpam-6227	101	20	.	.	PUNCT
ejpam-6227	102	1	to	to	PART
ejpam-6227	102	2	propose	propose	VERB
ejpam-6227	102	3	a	a	DET
ejpam-6227	102	4	multi	multi	ADJ
ejpam-6227	102	5	-	-	ADJ
ejpam-6227	102	6	criteria	criterion	NOUN
ejpam-6227	102	7	decision	decision	NOUN
ejpam-6227	102	8	-	-	PUNCT
ejpam-6227	102	9	making	making	NOUN
ejpam-6227	102	10	(	(	PUNCT
ejpam-6227	102	11	mcdm	mcdm	ADJ
ejpam-6227	102	12	)	)	PUNCT
ejpam-6227	102	13	technique	technique	NOUN
ejpam-6227	102	14	using	use	VERB
ejpam-6227	102	15	triangular	triangular	NOUN
ejpam-6227	102	16	intuitionistic	intuitionistic	ADJ
ejpam-6227	102	17	fuzzy	fuzzy	ADJ
ejpam-6227	102	18	sets	set	NOUN
ejpam-6227	102	19	(	(	PUNCT
ejpam-6227	102	20	tif	tif	PROPN
ejpam-6227	102	21	)	)	PUNCT
ejpam-6227	102	22	that	that	PRON
ejpam-6227	102	23	helps	help	VERB
ejpam-6227	102	24	evaluate	evaluate	VERB
ejpam-6227	102	25	various	various	ADJ
ejpam-6227	102	26	factors	factor	NOUN
ejpam-6227	102	27	influencing	influence	VERB
ejpam-6227	102	28	renewable	renewable	ADJ
ejpam-6227	102	29	energy	energy	NOUN
ejpam-6227	102	30	project	project	NOUN
ejpam-6227	102	31	selection	selection	NOUN
ejpam-6227	102	32	.	.	PUNCT
ejpam-6227	103	1	iv	iv	X
ejpam-6227	103	2	.	.	PUNCT
ejpam-6227	103	3	to	to	PART
ejpam-6227	103	4	apply	apply	VERB
ejpam-6227	103	5	the	the	DET
ejpam-6227	103	6	proposed	propose	VERB
ejpam-6227	103	7	methodology	methodology	NOUN
ejpam-6227	103	8	to	to	PART
ejpam-6227	103	9	solve	solve	VERB
ejpam-6227	103	10	a	a	DET
ejpam-6227	103	11	real	real	ADJ
ejpam-6227	103	12	-	-	PUNCT
ejpam-6227	103	13	world	world	NOUN
ejpam-6227	103	14	problem	problem	NOUN
ejpam-6227	103	15	in	in	ADP
ejpam-6227	103	16	renewable	renewable	ADJ
ejpam-6227	103	17	energy	energy	NOUN
ejpam-6227	103	18	project	project	NOUN
ejpam-6227	103	19	selection	selection	NOUN
ejpam-6227	103	20	,	,	PUNCT
ejpam-6227	103	21	demonstrating	demonstrate	VERB
ejpam-6227	103	22	its	its	PRON
ejpam-6227	103	23	practical	practical	ADJ
ejpam-6227	103	24	value	value	NOUN
ejpam-6227	103	25	and	and	CCONJ
ejpam-6227	103	26	efficiency	efficiency	NOUN
ejpam-6227	103	27	in	in	ADP
ejpam-6227	103	28	real	real	ADJ
ejpam-6227	103	29	-	-	PUNCT
ejpam-6227	103	30	world	world	NOUN
ejpam-6227	103	31	decision	decision	NOUN
ejpam-6227	103	32	-	-	PUNCT
ejpam-6227	103	33	making	make	VERB
ejpam-6227	103	34	scenarios	scenario	NOUN
ejpam-6227	103	35	.	.	PUNCT
ejpam-6227	104	1	v.	v.	ADP
ejpam-6227	104	2	to	to	PART
ejpam-6227	104	3	validate	validate	VERB
ejpam-6227	104	4	the	the	DET
ejpam-6227	104	5	robustness	robustness	NOUN
ejpam-6227	104	6	of	of	ADP
ejpam-6227	104	7	the	the	DET
ejpam-6227	104	8	proposed	propose	VERB
ejpam-6227	104	9	approach	approach	NOUN
ejpam-6227	104	10	through	through	ADP
ejpam-6227	104	11	a	a	DET
ejpam-6227	104	12	sensitivity	sensitivity	NOUN
ejpam-6227	104	13	analysis	analysis	NOUN
ejpam-6227	104	14	,	,	PUNCT
ejpam-6227	104	15	assessing	assess	VERB
ejpam-6227	104	16	how	how	SCONJ
ejpam-6227	104	17	different	different	ADJ
ejpam-6227	104	18	influencing	influence	VERB
ejpam-6227	104	19	factors	factor	NOUN
ejpam-6227	104	20	impact	impact	VERB
ejpam-6227	104	21	the	the	DET
ejpam-6227	104	22	overall	overall	ADJ
ejpam-6227	104	23	project	project	NOUN
ejpam-6227	104	24	selection	selection	NOUN
ejpam-6227	104	25	process	process	NOUN
ejpam-6227	104	26	.	.	PUNCT
ejpam-6227	105	1	the	the	DET
ejpam-6227	105	2	abbreviation	abbreviation	NOUN
ejpam-6227	105	3	of	of	ADP
ejpam-6227	105	4	table	table	NOUN
ejpam-6227	105	5	1	1	NUM
ejpam-6227	105	6	is	be	AUX
ejpam-6227	105	7	written	write	VERB
ejpam-6227	105	8	below	below	ADV
ejpam-6227	105	9	.	.	PUNCT
ejpam-6227	106	1	abbreviations	abbreviation	NOUN
ejpam-6227	106	2	full	full	ADJ
ejpam-6227	106	3	name	name	NOUN
ejpam-6227	106	4	iffns	iffns	NOUN
ejpam-6227	106	5	intuitionistic	intuitionistic	ADJ
ejpam-6227	106	6	fuzzy	fuzzy	ADJ
ejpam-6227	106	7	frank	frank	ADJ
ejpam-6227	106	8	numbers	number	NOUN
ejpam-6227	106	9	tifn	tifn	NOUN
ejpam-6227	106	10	triangular	triangular	NOUN
ejpam-6227	106	11	intuitionistic	intuitionistic	ADJ
ejpam-6227	106	12	fuzzy	fuzzy	ADJ
ejpam-6227	106	13	number	number	NOUN
ejpam-6227	106	14	tiffao	tiffao	ADV
ejpam-6227	106	15	triangular	triangular	VERB
ejpam-6227	106	16	intuitionistic	intuitionistic	ADJ
ejpam-6227	106	17	fuzzy	fuzzy	ADJ
ejpam-6227	106	18	frank	frank	ADJ
ejpam-6227	106	19	aggregation	aggregation	NOUN
ejpam-6227	106	20	operator	operator	NOUN
ejpam-6227	106	21	tiffwa	tiffwa	NOUN
ejpam-6227	106	22	triangular	triangular	NOUN
ejpam-6227	106	23	intuitionistic	intuitionistic	ADJ
ejpam-6227	106	24	fuzzy	fuzzy	ADJ
ejpam-6227	106	25	frank	frank	PROPN
ejpam-6227	106	26	weighted	weight	VERB
ejpam-6227	106	27	average	average	ADJ
ejpam-6227	106	28	tiffowa	tiffowa	NOUN
ejpam-6227	106	29	triangular	triangular	NOUN
ejpam-6227	106	30	intuitionistic	intuitionistic	ADJ
ejpam-6227	106	31	fuzzy	fuzzy	ADJ
ejpam-6227	106	32	frank	frank	PROPN
ejpam-6227	106	33	ordered	order	VERB
ejpam-6227	106	34	weighted	weight	VERB
ejpam-6227	106	35	average	average	ADJ
ejpam-6227	106	36	tiffhwa	tiffhwa	NOUN
ejpam-6227	106	37	triangular	triangular	NOUN
ejpam-6227	106	38	intuitionistic	intuitionistic	ADJ
ejpam-6227	106	39	fuzzy	fuzzy	ADJ
ejpam-6227	106	40	frank	frank	ADJ
ejpam-6227	106	41	hybrid	hybrid	NOUN
ejpam-6227	106	42	weighted	weight	VERB
ejpam-6227	106	43	average	average	ADJ
ejpam-6227	106	44	tiffwg	tiffwg	NOUN
ejpam-6227	106	45	triangular	triangular	NOUN
ejpam-6227	106	46	intuitionistic	intuitionistic	ADJ
ejpam-6227	106	47	fuzzy	fuzzy	ADJ
ejpam-6227	106	48	frank	frank	PROPN
ejpam-6227	106	49	weighted	weight	VERB
ejpam-6227	106	50	geometric	geometric	ADJ
ejpam-6227	106	51	tiffowg	tiffowg	NOUN
ejpam-6227	106	52	triangular	triangular	NOUN
ejpam-6227	106	53	intuitionistic	intuitionistic	ADJ
ejpam-6227	106	54	fuzzy	fuzzy	ADJ
ejpam-6227	106	55	frank	frank	PROPN
ejpam-6227	106	56	ordered	order	VERB
ejpam-6227	106	57	weighted	weight	VERB
ejpam-6227	106	58	geometric	geometric	ADJ
ejpam-6227	106	59	tiffhwg	tiffhwg	NOUN
ejpam-6227	106	60	triangular	triangular	VERB
ejpam-6227	106	61	intuitionistic	intuitionistic	ADJ
ejpam-6227	106	62	fuzzy	fuzzy	ADJ
ejpam-6227	106	63	frank	frank	ADJ
ejpam-6227	106	64	hybrid	hybrid	NOUN
ejpam-6227	106	65	weighted	weight	VERB
ejpam-6227	106	66	geometric	geometric	ADJ
ejpam-6227	106	67	2	2	NUM
ejpam-6227	106	68	.	.	PUNCT
ejpam-6227	106	69	basic	basic	ADJ
ejpam-6227	106	70	ideas	idea	NOUN
ejpam-6227	106	71	definition	definition	NOUN
ejpam-6227	106	72	1	1	NUM
ejpam-6227	106	73	.	.	PUNCT
ejpam-6227	107	1	[	[	X
ejpam-6227	107	2	16	16	NUM
ejpam-6227	107	3	]	]	PUNCT
ejpam-6227	107	4	considering	consider	VERB
ejpam-6227	107	5	that	that	SCONJ
ejpam-6227	107	6	φ	φ	PROPN
ejpam-6227	107	7	̸=	̸=	PROPN
ejpam-6227	107	8	x	x	X
ejpam-6227	107	9	and	and	CCONJ
ejpam-6227	107	10	let	let	VERB
ejpam-6227	107	11	is	be	AUX
ejpam-6227	107	12	use	use	VERB
ejpam-6227	107	13	a	a	DET
ejpam-6227	107	14	fuzzy	fuzzy	ADJ
ejpam-6227	107	15	set	set	VERB
ejpam-6227	107	16	γ	γ	X
ejpam-6227	107	17	=	=	SYM
ejpam-6227	107	18	{	{	PUNCT
ejpam-6227	107	19	〈	〈	PROPN
ejpam-6227	107	20	x	x	NOUN
ejpam-6227	107	21	,	,	PUNCT
ejpam-6227	107	22	µγ(x	µγ(x	NOUN
ejpam-6227	107	23	)	)	PUNCT
ejpam-6227	107	24	〉	〉	NOUN
ejpam-6227	107	25	:	:	PUNCT
ejpam-6227	107	26	x	x	X
ejpam-6227	107	27	∈	∈	NOUN
ejpam-6227	107	28	x	x	PUNCT
ejpam-6227	107	29	}	}	PUNCT
ejpam-6227	107	30	.	.	PUNCT
ejpam-6227	108	1	an	an	DET
ejpam-6227	108	2	element	element	NOUN
ejpam-6227	108	3	x	x	PUNCT
ejpam-6227	108	4	in	in	ADP
ejpam-6227	108	5	x	x	PROPN
ejpam-6227	108	6	is	be	AUX
ejpam-6227	108	7	represented	represent	VERB
ejpam-6227	108	8	by	by	ADP
ejpam-6227	108	9	the	the	DET
ejpam-6227	108	10	membership	membership	NOUN
ejpam-6227	108	11	function	function	NOUN
ejpam-6227	108	12	,	,	PUNCT
ejpam-6227	108	13	µγ(x	µγ(x	NOUN
ejpam-6227	108	14	)	)	PUNCT
ejpam-6227	108	15	is	be	AUX
ejpam-6227	108	16	a	a	DET
ejpam-6227	108	17	mapping	mapping	NOUN
ejpam-6227	108	18	from	from	ADP
ejpam-6227	108	19	x	x	X
ejpam-6227	108	20	to	to	ADP
ejpam-6227	108	21	[	[	X
ejpam-6227	108	22	0	0	NUM
ejpam-6227	108	23	,	,	PUNCT
ejpam-6227	108	24	1	1	NUM
ejpam-6227	108	25	]	]	PUNCT
ejpam-6227	108	26	.	.	PUNCT
ejpam-6227	109	1	definition	definition	NOUN
ejpam-6227	109	2	2	2	NUM
ejpam-6227	109	3	.	.	PUNCT
ejpam-6227	110	1	[	[	X
ejpam-6227	110	2	31	31	NUM
ejpam-6227	110	3	]	]	PUNCT
ejpam-6227	110	4	let	let	VERB
ejpam-6227	110	5	a1	a1	NOUN
ejpam-6227	110	6	=	=	PUNCT
ejpam-6227	111	1	[	[	X
ejpam-6227	111	2	l1	l1	PROPN
ejpam-6227	111	3	,	,	PUNCT
ejpam-6227	111	4	κ1	κ1	NOUN
ejpam-6227	111	5	]	]	PUNCT
ejpam-6227	111	6	and	and	CCONJ
ejpam-6227	111	7	a2	a2	PROPN
ejpam-6227	111	8	=	=	PUNCT
ejpam-6227	112	1	[	[	X
ejpam-6227	112	2	l2	l2	NOUN
ejpam-6227	112	3	,	,	PUNCT
ejpam-6227	112	4	κ2	κ2	PROPN
ejpam-6227	112	5	]	]	PUNCT
ejpam-6227	112	6	be	be	VERB
ejpam-6227	112	7	the	the	DET
ejpam-6227	112	8	ifss	ifss	NOUN
ejpam-6227	112	9	based	base	VERB
ejpam-6227	112	10	on	on	ADP
ejpam-6227	112	11	frank	frank	PROPN
ejpam-6227	112	12	operators	operator	NOUN
ejpam-6227	112	13	and	and	CCONJ
ejpam-6227	112	14	λ	λ	X
ejpam-6227	112	15	>	>	X
ejpam-6227	112	16	0	0	PROPN
ejpam-6227	112	17	,	,	PUNCT
ejpam-6227	112	18	then	then	ADV
ejpam-6227	112	19	a1	a1	PROPN
ejpam-6227	112	20	⊕	⊕	PROPN
ejpam-6227	112	21	a2	a2	PROPN
ejpam-6227	112	22	=	=	SYM
ejpam-6227	112	23	1	1	PROPN
ejpam-6227	112	24	−	−	PROPN
ejpam-6227	112	25	log	log	NOUN
ejpam-6227	112	26	(	(	PUNCT
ejpam-6227	112	27	1	1	NUM
ejpam-6227	112	28	+	+	CCONJ
ejpam-6227	112	29	(	(	PUNCT
ejpam-6227	112	30	β1−l1	β1−l1	X
ejpam-6227	112	31	−1)(β1−l2	−1)(β1−l2	NUM
ejpam-6227	112	32	−1	−1	NOUN
ejpam-6227	112	33	)	)	PUNCT
ejpam-6227	112	34	β−1	β−1	PUNCT
ejpam-6227	112	35	)	)	PUNCT
ejpam-6227	113	1	β	β	X
ejpam-6227	113	2	,	,	PUNCT
ejpam-6227	113	3	log	log	PROPN
ejpam-6227	113	4	(	(	PUNCT
ejpam-6227	113	5	1	1	NUM
ejpam-6227	113	6	+	+	CCONJ
ejpam-6227	113	7	(	(	PUNCT
ejpam-6227	113	8	βk2	βk2	NOUN
ejpam-6227	113	9	−1)(βκ2	−1)(βκ2	PROPN
ejpam-6227	113	10	−1	−1	NOUN
ejpam-6227	113	11	)	)	PUNCT
ejpam-6227	113	12	β−1	β−1	PUNCT
ejpam-6227	113	13	)	)	PUNCT
ejpam-6227	114	1	β	β	NOUN
ejpam-6227	114	2			NOUN
ejpam-6227	114	3	;	;	PUNCT
ejpam-6227	114	4	a1	a1	PROPN
ejpam-6227	114	5	⊗	⊗	PROPN
ejpam-6227	114	6	a2	a2	PROPN
ejpam-6227	114	7	=	=	SYM
ejpam-6227	114	8	log	log	PROPN
ejpam-6227	114	9	(	(	PUNCT
ejpam-6227	114	10	1	1	NUM
ejpam-6227	114	11	+	+	CCONJ
ejpam-6227	114	12	(	(	PUNCT
ejpam-6227	114	13	β	β	X
ejpam-6227	114	14	l−	l−	NOUN
ejpam-6227	114	15	1	1	NUM
ejpam-6227	114	16	−1)(βl2	−1)(βl2	NOUN
ejpam-6227	114	17	−1	−1	NOUN
ejpam-6227	114	18	)	)	PUNCT
ejpam-6227	114	19	β−1	β−1	PUNCT
ejpam-6227	114	20	)	)	PUNCT
ejpam-6227	114	21	β	β	NOUN
ejpam-6227	114	22	,	,	PUNCT
ejpam-6227	114	23	1	1	NUM
ejpam-6227	114	24	−	−	NOUN
ejpam-6227	114	25	log	log	NOUN
ejpam-6227	114	26	(	(	PUNCT
ejpam-6227	114	27	1	1	NUM
ejpam-6227	114	28	+	+	CCONJ
ejpam-6227	114	29	(	(	PUNCT
ejpam-6227	114	30	β1−k1	β1−k1	NUM
ejpam-6227	114	31	−1)(β1−κ2	−1)(β1−κ2	NUM
ejpam-6227	114	32	−1	−1	NOUN
ejpam-6227	114	33	)	)	PUNCT
ejpam-6227	114	34	β−1	β−1	PUNCT
ejpam-6227	114	35	)	)	PUNCT
ejpam-6227	115	1	β	β	X
ejpam-6227	115	2			NOUN
ejpam-6227	115	3	;	;	PUNCT
ejpam-6227	115	4	aλ	aλ	ADP
ejpam-6227	115	5	1	1	NUM
ejpam-6227	115	6	=	=	SYM
ejpam-6227	115	7	log	log	X
ejpam-6227	115	8	(	(	PUNCT
ejpam-6227	115	9	1	1	NUM
ejpam-6227	115	10	+	+	NUM
ejpam-6227	115	11	(	(	PUNCT
ejpam-6227	115	12	βl1	βl1	INTJ
ejpam-6227	115	13	−1)λ	−1)λ	PUNCT
ejpam-6227	115	14	(	(	PUNCT
ejpam-6227	115	15	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	115	16	)	)	PUNCT
ejpam-6227	115	17	β	β	NOUN
ejpam-6227	115	18	,	,	PUNCT
ejpam-6227	115	19	1	1	NUM
ejpam-6227	115	20	−	−	NOUN
ejpam-6227	115	21	log	log	NOUN
ejpam-6227	115	22	(	(	PUNCT
ejpam-6227	115	23	1	1	NUM
ejpam-6227	115	24	+	+	NUM
ejpam-6227	115	25	(	(	PUNCT
ejpam-6227	115	26	β1−κ1	β1−κ1	NUM
ejpam-6227	115	27	−1)λ	−1)λ	PUNCT
ejpam-6227	115	28	(	(	PUNCT
ejpam-6227	115	29	β−1)λ−1	β−1)λ−1	ADJ
ejpam-6227	115	30	)	)	PUNCT
ejpam-6227	115	31	β	β	NOUN
ejpam-6227	115	32			NOUN
ejpam-6227	115	33	;	;	PUNCT
ejpam-6227	115	34	λa1	λa1	PROPN
ejpam-6227	115	35	=	=	PUNCT
ejpam-6227	115	36	1	1	PROPN
ejpam-6227	115	37	−	−	PROPN
ejpam-6227	115	38	log	log	NOUN
ejpam-6227	115	39	(	(	PUNCT
ejpam-6227	115	40	1	1	NUM
ejpam-6227	115	41	+	+	CCONJ
ejpam-6227	115	42	(	(	PUNCT
ejpam-6227	115	43	β1−l1	β1−l1	NUM
ejpam-6227	115	44	−1)λ	−1)λ	PUNCT
ejpam-6227	115	45	(	(	PUNCT
ejpam-6227	115	46	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	115	47	)	)	PUNCT
ejpam-6227	115	48	β	β	NOUN
ejpam-6227	115	49	,	,	PUNCT
ejpam-6227	115	50	log	log	PROPN
ejpam-6227	115	51	(	(	PUNCT
ejpam-6227	115	52	1	1	NUM
ejpam-6227	115	53	+	+	NUM
ejpam-6227	115	54	(	(	PUNCT
ejpam-6227	115	55	β1−κ1	β1−κ1	NUM
ejpam-6227	115	56	−1)λ	−1)λ	PUNCT
ejpam-6227	115	57	(	(	PUNCT
ejpam-6227	115	58	β−1)λ−1	β−1)λ−1	ADJ
ejpam-6227	115	59	)	)	PUNCT
ejpam-6227	115	60	β	β	NOUN
ejpam-6227	115	61			NOUN
ejpam-6227	115	62	.	.	PUNCT
ejpam-6227	116	1	definition	definition	NOUN
ejpam-6227	116	2	3	3	NUM
ejpam-6227	116	3	.	.	PUNCT
ejpam-6227	117	1	[	[	X
ejpam-6227	117	2	11	11	NUM
ejpam-6227	117	3	]	]	PUNCT
ejpam-6227	117	4	let	let	VERB
ejpam-6227	117	5	a	a	PRON
ejpam-6227	117	6	=	=	X
ejpam-6227	118	1	[	[	X
ejpam-6227	118	2	ς	ς	PROPN
ejpam-6227	118	3	,	,	PUNCT
ejpam-6227	118	4	χ	χ	X
ejpam-6227	118	5	]	]	PUNCT
ejpam-6227	118	6	be	be	AUX
ejpam-6227	118	7	the	the	DET
ejpam-6227	118	8	ifss	ifss	NOUN
ejpam-6227	118	9	,	,	PUNCT
ejpam-6227	118	10	then	then	ADV
ejpam-6227	118	11	the	the	DET
ejpam-6227	118	12	score	score	NOUN
ejpam-6227	118	13	function	function	NOUN
ejpam-6227	118	14	is	be	AUX
ejpam-6227	118	15	a	a	DET
ejpam-6227	118	16	=	=	NOUN
ejpam-6227	118	17	ςα	ςα	PROPN
ejpam-6227	118	18	−	−	PROPN
ejpam-6227	119	1	χα	χα	NOUN
ejpam-6227	119	2	.	.	PUNCT
ejpam-6227	120	1	definition	definition	NOUN
ejpam-6227	120	2	4	4	NUM
ejpam-6227	120	3	.	.	PUNCT
ejpam-6227	121	1	[	[	X
ejpam-6227	121	2	11	11	NUM
ejpam-6227	121	3	]	]	PUNCT
ejpam-6227	121	4	let	let	VERB
ejpam-6227	121	5	a	a	PRON
ejpam-6227	121	6	=	=	X
ejpam-6227	122	1	[	[	X
ejpam-6227	122	2	ς	ς	PROPN
ejpam-6227	122	3	,	,	PUNCT
ejpam-6227	122	4	χ	χ	X
ejpam-6227	122	5	]	]	PUNCT
ejpam-6227	122	6	be	be	AUX
ejpam-6227	122	7	the	the	DET
ejpam-6227	122	8	ifss	ifss	NOUN
ejpam-6227	122	9	,	,	PUNCT
ejpam-6227	122	10	then	then	ADV
ejpam-6227	122	11	the	the	DET
ejpam-6227	122	12	accuracy	accuracy	NOUN
ejpam-6227	122	13	function	function	NOUN
ejpam-6227	122	14	is	be	AUX
ejpam-6227	122	15	a	a	DET
ejpam-6227	122	16	=	=	NOUN
ejpam-6227	122	17	ςα	ςα	NOUN
ejpam-6227	122	18	+	+	PROPN
ejpam-6227	122	19	χα	χα	NOUN
ejpam-6227	122	20	.	.	NOUN
ejpam-6227	123	1	3	3	X
ejpam-6227	123	2	.	.	X
ejpam-6227	123	3	tifn	tifn	NOUN
ejpam-6227	123	4	and	and	CCONJ
ejpam-6227	123	5	operational	operational	ADJ
ejpam-6227	123	6	laws	law	NOUN
ejpam-6227	123	7	on	on	ADP
ejpam-6227	123	8	frank	frank	PROPN
ejpam-6227	123	9	the	the	DET
ejpam-6227	123	10	section	section	NOUN
ejpam-6227	123	11	address	address	NOUN
ejpam-6227	123	12	the	the	DET
ejpam-6227	123	13	operational	operational	ADJ
ejpam-6227	123	14	laws	law	NOUN
ejpam-6227	123	15	of	of	ADP
ejpam-6227	123	16	the	the	DET
ejpam-6227	123	17	frank	frank	PROPN
ejpam-6227	123	18	t	t	PROPN
ejpam-6227	123	19	-	-	PUNCT
ejpam-6227	123	20	norm	norm	NOUN
ejpam-6227	123	21	and	and	CCONJ
ejpam-6227	123	22	t	t	NOUN
ejpam-6227	123	23	-	-	PUNCT
ejpam-6227	123	24	conorm	conorm	NOUN
ejpam-6227	123	25	.	.	PUNCT
ejpam-6227	124	1	the	the	DET
ejpam-6227	124	2	frank	frank	PROPN
ejpam-6227	124	3	operational	operational	ADJ
ejpam-6227	124	4	laws	law	NOUN
ejpam-6227	124	5	are	be	AUX
ejpam-6227	124	6	a	a	DET
ejpam-6227	124	7	collection	collection	NOUN
ejpam-6227	124	8	of	of	ADP
ejpam-6227	124	9	axioms	axiom	NOUN
ejpam-6227	124	10	that	that	PRON
ejpam-6227	124	11	control	control	VERB
ejpam-6227	124	12	how	how	SCONJ
ejpam-6227	124	13	operations	operation	NOUN
ejpam-6227	124	14	in	in	ADP
ejpam-6227	124	15	tif	tif	PROPN
ejpam-6227	124	16	logic	logic	NOUN
ejpam-6227	124	17	,	,	PUNCT
ejpam-6227	124	18	such	such	ADJ
ejpam-6227	124	19	as	as	ADP
ejpam-6227	124	20	t	t	NOUN
ejpam-6227	124	21	-	-	PUNCT
ejpam-6227	124	22	norms	norm	NOUN
ejpam-6227	124	23	and	and	CCONJ
ejpam-6227	124	24	t	t	NOUN
ejpam-6227	124	25	-	-	PUNCT
ejpam-6227	124	26	conorms	conorm	NOUN
ejpam-6227	124	27	.	.	PUNCT
ejpam-6227	125	1	definition	definition	NOUN
ejpam-6227	125	2	5	5	NUM
ejpam-6227	125	3	.	.	PUNCT
ejpam-6227	126	1	let	let	VERB
ejpam-6227	126	2	a1	a1	NOUN
ejpam-6227	126	3	=	=	PUNCT
ejpam-6227	127	1	[	[	PUNCT
ejpam-6227	127	2	[	[	X
ejpam-6227	127	3	c1	c1	NOUN
ejpam-6227	127	4	,	,	PUNCT
ejpam-6227	127	5	d1	d1	PROPN
ejpam-6227	127	6	,	,	PUNCT
ejpam-6227	127	7	e1	e1	NOUN
ejpam-6227	127	8	]	]	PUNCT
ejpam-6227	127	9	,	,	PUNCT
ejpam-6227	127	10	[	[	X
ejpam-6227	127	11	g1	g1	X
ejpam-6227	127	12	,	,	PUNCT
ejpam-6227	127	13	h1	h1	NOUN
ejpam-6227	127	14	,	,	PUNCT
ejpam-6227	127	15	l1	l1	PROPN
ejpam-6227	127	16	]	]	PUNCT
ejpam-6227	127	17	]	]	PUNCT
ejpam-6227	127	18	and	and	CCONJ
ejpam-6227	127	19	a2	a2	PROPN
ejpam-6227	127	20	=	=	PUNCT
ejpam-6227	128	1	[	[	PUNCT
ejpam-6227	128	2	[	[	X
ejpam-6227	128	3	c2	c2	PROPN
ejpam-6227	128	4	,	,	PUNCT
ejpam-6227	128	5	d2	d2	PROPN
ejpam-6227	128	6	,	,	PUNCT
ejpam-6227	128	7	e2	e2	PROPN
ejpam-6227	128	8	]	]	PUNCT
ejpam-6227	128	9	,	,	PUNCT
ejpam-6227	128	10	[	[	X
ejpam-6227	128	11	g2	g2	PROPN
ejpam-6227	128	12	,	,	PUNCT
ejpam-6227	128	13	h2	h2	NOUN
ejpam-6227	128	14	,	,	PUNCT
ejpam-6227	128	15	l2	l2	NOUN
ejpam-6227	128	16	]	]	PUNCT
ejpam-6227	128	17	]	]	PUNCT
ejpam-6227	128	18	be	be	AUX
ejpam-6227	128	19	two	two	NUM
ejpam-6227	128	20	tiffns	tiffns	ADV
ejpam-6227	128	21	and	and	CCONJ
ejpam-6227	128	22	λ	λ	X
ejpam-6227	128	23	>	>	X
ejpam-6227	128	24	0	0	PROPN
ejpam-6227	128	25	,	,	PUNCT
ejpam-6227	128	26	then	then	ADV
ejpam-6227	128	27	a.	a.	PROPN
ejpam-6227	128	28	fahmi	fahmi	PROPN
ejpam-6227	128	29	et	et	PROPN
ejpam-6227	128	30	al	al	PROPN
ejpam-6227	128	31	.	.	PUNCT
ejpam-6227	128	32	/	/	SYM
ejpam-6227	128	33	eur	eur	PROPN
ejpam-6227	128	34	.	.	PUNCT
ejpam-6227	129	1	j.	j.	PROPN
ejpam-6227	129	2	pure	pure	PROPN
ejpam-6227	129	3	appl	appl	PROPN
ejpam-6227	129	4	.	.	PROPN
ejpam-6227	129	5	math	math	PROPN
ejpam-6227	129	6	,	,	PUNCT
ejpam-6227	129	7	18	18	NUM
ejpam-6227	129	8	(	(	PUNCT
ejpam-6227	129	9	3	3	NUM
ejpam-6227	129	10	)	)	PUNCT
ejpam-6227	129	11	(	(	PUNCT
ejpam-6227	129	12	2025	2025	NUM
ejpam-6227	129	13	)	)	PUNCT
ejpam-6227	129	14	,	,	PUNCT
ejpam-6227	129	15	6227	6227	NUM
ejpam-6227	129	16	7	7	NUM
ejpam-6227	129	17	of	of	ADP
ejpam-6227	129	18	37	37	NUM
ejpam-6227	129	19	a1	a1	NOUN
ejpam-6227	129	20	⊕	⊕	PROPN
ejpam-6227	129	21	a2	a2	PROPN
ejpam-6227	129	22	=	=	SYM
ejpam-6227	129	23			NOUN
ejpam-6227	129	24			NOUN
ejpam-6227	129	25	1	1	NUM
ejpam-6227	129	26	−	−	NOUN
ejpam-6227	129	27	log	log	NOUN
ejpam-6227	129	28	(	(	PUNCT
ejpam-6227	129	29	1	1	NUM
ejpam-6227	129	30	+	+	CCONJ
ejpam-6227	129	31	(	(	PUNCT
ejpam-6227	129	32	β1−c1	β1−c1	NUM
ejpam-6227	129	33	−1)(β1−c2	−1)(β1−c2	NUM
ejpam-6227	129	34	−1	−1	NOUN
ejpam-6227	129	35	)	)	PUNCT
ejpam-6227	129	36	β−1	β−1	PUNCT
ejpam-6227	129	37	)	)	PUNCT
ejpam-6227	130	1	β	β	NOUN
ejpam-6227	130	2	,	,	PUNCT
ejpam-6227	130	3	1	1	NUM
ejpam-6227	130	4	−	−	NOUN
ejpam-6227	130	5	log	log	NOUN
ejpam-6227	130	6	(	(	PUNCT
ejpam-6227	130	7	1	1	NUM
ejpam-6227	130	8	+	+	CCONJ
ejpam-6227	130	9	(	(	PUNCT
ejpam-6227	130	10	β1−d1	β1−d1	ADJ
ejpam-6227	130	11	−1)(β1−d2	−1)(β1−d2	NUM
ejpam-6227	130	12	−1	−1	NOUN
ejpam-6227	130	13	)	)	PUNCT
ejpam-6227	130	14	β−1	β−1	PUNCT
ejpam-6227	130	15	)	)	PUNCT
ejpam-6227	131	1	β	β	NOUN
ejpam-6227	131	2	,	,	PUNCT
ejpam-6227	131	3	1	1	NUM
ejpam-6227	131	4	−	−	NOUN
ejpam-6227	131	5	log	log	NOUN
ejpam-6227	131	6	(	(	PUNCT
ejpam-6227	131	7	1	1	NUM
ejpam-6227	131	8	+	+	CCONJ
ejpam-6227	131	9	(	(	PUNCT
ejpam-6227	131	10	β1−e1	β1−e1	X
ejpam-6227	131	11	−1)(β1−e2	−1)(β1−e2	SYM
ejpam-6227	131	12	−1	−1	NOUN
ejpam-6227	131	13	)	)	PUNCT
ejpam-6227	131	14	β−1	β−1	PUNCT
ejpam-6227	131	15	)	)	PUNCT
ejpam-6227	132	1	β	β	NOUN
ejpam-6227	132	2			NOUN
ejpam-6227	132	3	,	,	PUNCT
ejpam-6227	132	4			ADJ
ejpam-6227	132	5	log	log	NOUN
ejpam-6227	132	6	(	(	PUNCT
ejpam-6227	132	7	1	1	NUM
ejpam-6227	132	8	+	+	CCONJ
ejpam-6227	132	9	(	(	PUNCT
ejpam-6227	132	10	βg1	βg1	NOUN
ejpam-6227	132	11	−1)(βg2	−1)(βg2	PROPN
ejpam-6227	132	12	−1	−1	NOUN
ejpam-6227	132	13	)	)	PUNCT
ejpam-6227	132	14	β−1	β−1	PUNCT
ejpam-6227	132	15	)	)	PUNCT
ejpam-6227	133	1	β	β	X
ejpam-6227	133	2	,	,	PUNCT
ejpam-6227	133	3	log	log	PROPN
ejpam-6227	133	4	(	(	PUNCT
ejpam-6227	133	5	1	1	NUM
ejpam-6227	133	6	+	+	CCONJ
ejpam-6227	133	7	(	(	PUNCT
ejpam-6227	133	8	βh1	βh1	NOUN
ejpam-6227	133	9	−1)(βh2	−1)(βh2	NOUN
ejpam-6227	133	10	−1	−1	NOUN
ejpam-6227	133	11	)	)	PUNCT
ejpam-6227	133	12	β−1	β−1	PUNCT
ejpam-6227	133	13	)	)	PUNCT
ejpam-6227	133	14	β	β	X
ejpam-6227	133	15	,	,	PUNCT
ejpam-6227	133	16	log	log	PROPN
ejpam-6227	133	17	(	(	PUNCT
ejpam-6227	133	18	1	1	NUM
ejpam-6227	133	19	+	+	CCONJ
ejpam-6227	133	20	(	(	PUNCT
ejpam-6227	133	21	βl1	βl1	ADP
ejpam-6227	133	22	−1)(βl2	−1)(βl2	PROPN
ejpam-6227	133	23	−1	−1	PROPN
ejpam-6227	133	24	)	)	PUNCT
ejpam-6227	133	25	β−1	β−1	PUNCT
ejpam-6227	133	26	)	)	PUNCT
ejpam-6227	134	1	β	β	NOUN
ejpam-6227	134	2			NOUN
ejpam-6227	134	3			PUNCT
ejpam-6227	134	4	;	;	PUNCT
ejpam-6227	134	5	a1	a1	PROPN
ejpam-6227	134	6	⊗	⊗	PROPN
ejpam-6227	134	7	a2	a2	PROPN
ejpam-6227	134	8	=	=	SYM
ejpam-6227	134	9			NOUN
ejpam-6227	134	10			PROPN
ejpam-6227	134	11	log	log	NOUN
ejpam-6227	134	12	(	(	PUNCT
ejpam-6227	134	13	1	1	NUM
ejpam-6227	134	14	+	+	CCONJ
ejpam-6227	134	15	(	(	PUNCT
ejpam-6227	134	16	βc1	βc1	NOUN
ejpam-6227	134	17	−1)(βc2	−1)(βc2	PROPN
ejpam-6227	134	18	−1	−1	NOUN
ejpam-6227	134	19	)	)	PUNCT
ejpam-6227	134	20	β−1	β−1	PUNCT
ejpam-6227	134	21	)	)	PUNCT
ejpam-6227	135	1	β	β	X
ejpam-6227	135	2	,	,	PUNCT
ejpam-6227	135	3	log	log	PROPN
ejpam-6227	135	4	(	(	PUNCT
ejpam-6227	135	5	1	1	NUM
ejpam-6227	135	6	+	+	CCONJ
ejpam-6227	135	7	(	(	PUNCT
ejpam-6227	135	8	βd1	βd1	PROPN
ejpam-6227	135	9	−1)(βd2	−1)(βd2	PROPN
ejpam-6227	135	10	−1	−1	NOUN
ejpam-6227	135	11	)	)	PUNCT
ejpam-6227	135	12	β−1	β−1	PUNCT
ejpam-6227	135	13	)	)	PUNCT
ejpam-6227	135	14	β	β	X
ejpam-6227	135	15	,	,	PUNCT
ejpam-6227	135	16	log	log	PROPN
ejpam-6227	135	17	(	(	PUNCT
ejpam-6227	135	18	1	1	NUM
ejpam-6227	135	19	+	+	CCONJ
ejpam-6227	135	20	(	(	PUNCT
ejpam-6227	135	21	βe1	βe1	X
ejpam-6227	135	22	−1)(βe2	−1)(βe2	NOUN
ejpam-6227	135	23	−1	−1	NOUN
ejpam-6227	135	24	)	)	PUNCT
ejpam-6227	135	25	β−1	β−1	PUNCT
ejpam-6227	135	26	)	)	PUNCT
ejpam-6227	136	1	β	β	NOUN
ejpam-6227	136	2			NOUN
ejpam-6227	136	3	,	,	PUNCT
ejpam-6227	136	4			ADJ
ejpam-6227	136	5	1	1	NUM
ejpam-6227	136	6	−	−	NOUN
ejpam-6227	136	7	log	log	NOUN
ejpam-6227	136	8	(	(	PUNCT
ejpam-6227	136	9	1	1	NUM
ejpam-6227	136	10	+	+	CCONJ
ejpam-6227	136	11	(	(	PUNCT
ejpam-6227	136	12	β1−g1	β1−g1	X
ejpam-6227	136	13	−1)(β1−g2	−1)(β1−g2	ADJ
ejpam-6227	136	14	−1	−1	NOUN
ejpam-6227	136	15	)	)	PUNCT
ejpam-6227	136	16	β−1	β−1	PUNCT
ejpam-6227	136	17	)	)	PUNCT
ejpam-6227	137	1	β	β	NOUN
ejpam-6227	137	2	,	,	PUNCT
ejpam-6227	137	3	1	1	NUM
ejpam-6227	137	4	−	−	NOUN
ejpam-6227	137	5	log	log	NOUN
ejpam-6227	137	6	(	(	PUNCT
ejpam-6227	137	7	1	1	NUM
ejpam-6227	137	8	+	+	NUM
ejpam-6227	137	9	(	(	PUNCT
ejpam-6227	137	10	β1−h1	β1−h1	NUM
ejpam-6227	137	11	−1)(β1−h2	−1)(β1−h2	NOUN
ejpam-6227	137	12	−1	−1	NOUN
ejpam-6227	137	13	)	)	PUNCT
ejpam-6227	137	14	β−1	β−1	PUNCT
ejpam-6227	137	15	)	)	PUNCT
ejpam-6227	138	1	β	β	NOUN
ejpam-6227	138	2	,	,	PUNCT
ejpam-6227	138	3	1	1	NUM
ejpam-6227	138	4	−	−	NOUN
ejpam-6227	138	5	log	log	NOUN
ejpam-6227	138	6	(	(	PUNCT
ejpam-6227	138	7	1	1	NUM
ejpam-6227	138	8	+	+	CCONJ
ejpam-6227	138	9	(	(	PUNCT
ejpam-6227	138	10	β1−l1	β1−l1	X
ejpam-6227	138	11	−1)(β1−l2	−1)(β1−l2	NUM
ejpam-6227	138	12	−1	−1	NOUN
ejpam-6227	138	13	)	)	PUNCT
ejpam-6227	138	14	β−1	β−1	PUNCT
ejpam-6227	138	15	)	)	PUNCT
ejpam-6227	139	1	β	β	NOUN
ejpam-6227	139	2			NOUN
ejpam-6227	139	3			PUNCT
ejpam-6227	139	4	;	;	PUNCT
ejpam-6227	139	5	aλ	aλ	ADP
ejpam-6227	139	6	1	1	NUM
ejpam-6227	139	7	=	=	SYM
ejpam-6227	139	8			NOUN
ejpam-6227	139	9			NOUN
ejpam-6227	139	10	log	log	NOUN
ejpam-6227	139	11	(	(	PUNCT
ejpam-6227	139	12	1	1	NUM
ejpam-6227	139	13	+	+	CCONJ
ejpam-6227	139	14	(	(	PUNCT
ejpam-6227	139	15	βc1	βc1	NOUN
ejpam-6227	139	16	−1)λ	−1)λ	PUNCT
ejpam-6227	139	17	(	(	PUNCT
ejpam-6227	139	18	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	139	19	)	)	PUNCT
ejpam-6227	139	20	β	β	NOUN
ejpam-6227	139	21	,	,	PUNCT
ejpam-6227	139	22	log	log	PROPN
ejpam-6227	139	23	(	(	PUNCT
ejpam-6227	139	24	1	1	NUM
ejpam-6227	139	25	+	+	CCONJ
ejpam-6227	139	26	(	(	PUNCT
ejpam-6227	139	27	βd1	βd1	INTJ
ejpam-6227	139	28	−1)λ	−1)λ	PUNCT
ejpam-6227	139	29	(	(	PUNCT
ejpam-6227	139	30	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	139	31	)	)	PUNCT
ejpam-6227	139	32	β	β	NOUN
ejpam-6227	139	33	,	,	PUNCT
ejpam-6227	139	34	log	log	PROPN
ejpam-6227	139	35	(	(	PUNCT
ejpam-6227	139	36	1	1	NUM
ejpam-6227	139	37	+	+	CCONJ
ejpam-6227	139	38	(	(	PUNCT
ejpam-6227	139	39	βe1	βe1	ADJ
ejpam-6227	139	40	−1)λ	−1)λ	PUNCT
ejpam-6227	139	41	(	(	PUNCT
ejpam-6227	139	42	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	139	43	)	)	PUNCT
ejpam-6227	139	44	β	β	PROPN
ejpam-6227	139	45			VERB
ejpam-6227	139	46	,	,	PUNCT
ejpam-6227	139	47			NOUN
ejpam-6227	139	48	1	1	NUM
ejpam-6227	139	49	−	−	NOUN
ejpam-6227	139	50	log	log	NOUN
ejpam-6227	139	51	(	(	PUNCT
ejpam-6227	139	52	1	1	NUM
ejpam-6227	139	53	+	+	CCONJ
ejpam-6227	139	54	(	(	PUNCT
ejpam-6227	139	55	β1−g1	β1−g1	X
ejpam-6227	139	56	−1)λ	−1)λ	PUNCT
ejpam-6227	139	57	(	(	PUNCT
ejpam-6227	139	58	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	139	59	)	)	PUNCT
ejpam-6227	139	60	β	β	NOUN
ejpam-6227	139	61	,	,	PUNCT
ejpam-6227	139	62	1	1	NUM
ejpam-6227	139	63	−	−	NOUN
ejpam-6227	139	64	log	log	NOUN
ejpam-6227	139	65	(	(	PUNCT
ejpam-6227	139	66	1	1	NUM
ejpam-6227	139	67	+	+	NUM
ejpam-6227	139	68	(	(	PUNCT
ejpam-6227	139	69	β1−h1	β1−h1	X
ejpam-6227	139	70	−1)λ	−1)λ	PUNCT
ejpam-6227	139	71	(	(	PUNCT
ejpam-6227	139	72	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	139	73	)	)	PUNCT
ejpam-6227	139	74	β	β	NOUN
ejpam-6227	139	75	,	,	PUNCT
ejpam-6227	139	76	1	1	NUM
ejpam-6227	139	77	−	−	NOUN
ejpam-6227	139	78	log	log	NOUN
ejpam-6227	139	79	(	(	PUNCT
ejpam-6227	139	80	1	1	NUM
ejpam-6227	139	81	+	+	CCONJ
ejpam-6227	139	82	(	(	PUNCT
ejpam-6227	139	83	β1−l1	β1−l1	NUM
ejpam-6227	139	84	−1)λ	−1)λ	PUNCT
ejpam-6227	139	85	(	(	PUNCT
ejpam-6227	139	86	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	139	87	)	)	PUNCT
ejpam-6227	139	88	β	β	NOUN
ejpam-6227	139	89			NOUN
ejpam-6227	139	90			NUM
ejpam-6227	139	91	;	;	PUNCT
ejpam-6227	139	92	λa1	λa1	PROPN
ejpam-6227	139	93	=	=	SYM
ejpam-6227	139	94			NOUN
ejpam-6227	139	95			NOUN
ejpam-6227	139	96	1	1	NUM
ejpam-6227	139	97	−	−	NOUN
ejpam-6227	139	98	log	log	NOUN
ejpam-6227	139	99	(	(	PUNCT
ejpam-6227	139	100	1	1	NUM
ejpam-6227	139	101	+	+	CCONJ
ejpam-6227	139	102	(	(	PUNCT
ejpam-6227	139	103	β1−c1	β1−c1	NUM
ejpam-6227	139	104	−1)λ	−1)λ	PUNCT
ejpam-6227	139	105	(	(	PUNCT
ejpam-6227	139	106	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	139	107	)	)	PUNCT
ejpam-6227	139	108	β	β	NOUN
ejpam-6227	139	109	,	,	PUNCT
ejpam-6227	139	110	1	1	NUM
ejpam-6227	139	111	−	−	NOUN
ejpam-6227	139	112	log	log	NOUN
ejpam-6227	139	113	(	(	PUNCT
ejpam-6227	139	114	1	1	NUM
ejpam-6227	139	115	+	+	CCONJ
ejpam-6227	139	116	(	(	PUNCT
ejpam-6227	139	117	β1−d1	β1−d1	ADJ
ejpam-6227	139	118	−1)λ	−1)λ	PUNCT
ejpam-6227	139	119	(	(	PUNCT
ejpam-6227	139	120	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	139	121	)	)	PUNCT
ejpam-6227	139	122	β	β	NOUN
ejpam-6227	139	123	,	,	PUNCT
ejpam-6227	139	124	1	1	NUM
ejpam-6227	139	125	−	−	NOUN
ejpam-6227	139	126	log	log	NOUN
ejpam-6227	139	127	(	(	PUNCT
ejpam-6227	139	128	1	1	NUM
ejpam-6227	139	129	+	+	CCONJ
ejpam-6227	139	130	(	(	PUNCT
ejpam-6227	139	131	β1−e1	β1−e1	X
ejpam-6227	139	132	−1)λ	−1)λ	PUNCT
ejpam-6227	139	133	(	(	PUNCT
ejpam-6227	139	134	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	139	135	)	)	PUNCT
ejpam-6227	140	1	β	β	PROPN
ejpam-6227	140	2			NOUN
ejpam-6227	140	3	,	,	PUNCT
ejpam-6227	140	4			ADJ
ejpam-6227	140	5	log	log	NOUN
ejpam-6227	140	6	(	(	PUNCT
ejpam-6227	140	7	1	1	NUM
ejpam-6227	140	8	+	+	CCONJ
ejpam-6227	140	9	(	(	PUNCT
ejpam-6227	140	10	β1−g1	β1−g1	X
ejpam-6227	140	11	−1)λ	−1)λ	PUNCT
ejpam-6227	140	12	(	(	PUNCT
ejpam-6227	140	13	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	140	14	)	)	PUNCT
ejpam-6227	140	15	β	β	NOUN
ejpam-6227	140	16	,	,	PUNCT
ejpam-6227	140	17	log	log	PROPN
ejpam-6227	140	18	(	(	PUNCT
ejpam-6227	140	19	1	1	NUM
ejpam-6227	140	20	+	+	NUM
ejpam-6227	140	21	(	(	PUNCT
ejpam-6227	140	22	β1−h1	β1−h1	X
ejpam-6227	140	23	−1)λ	−1)λ	PUNCT
ejpam-6227	140	24	(	(	PUNCT
ejpam-6227	140	25	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	140	26	)	)	PUNCT
ejpam-6227	140	27	β	β	NOUN
ejpam-6227	140	28	,	,	PUNCT
ejpam-6227	140	29	log	log	PROPN
ejpam-6227	140	30	(	(	PUNCT
ejpam-6227	140	31	1	1	NUM
ejpam-6227	140	32	+	+	CCONJ
ejpam-6227	140	33	(	(	PUNCT
ejpam-6227	140	34	β1−l1	β1−l1	NUM
ejpam-6227	140	35	−1)λ	−1)λ	PUNCT
ejpam-6227	140	36	(	(	PUNCT
ejpam-6227	140	37	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	140	38	)	)	PUNCT
ejpam-6227	140	39	β	β	PROPN
ejpam-6227	140	40			NOUN
ejpam-6227	140	41			VERB
ejpam-6227	140	42	definition	definition	NOUN
ejpam-6227	140	43	6	6	NUM
ejpam-6227	140	44	.	.	PUNCT
ejpam-6227	141	1	the	the	DET
ejpam-6227	141	2	tifns	tifns	NOUN
ejpam-6227	141	3	are	be	AUX
ejpam-6227	141	4	a	a	PRON
ejpam-6227	141	5	=	=	X
ejpam-6227	141	6	[	[	PUNCT
ejpam-6227	141	7	[	[	X
ejpam-6227	141	8	cj	cj	X
ejpam-6227	141	9	,	,	PUNCT
ejpam-6227	141	10	dj	dj	X
ejpam-6227	141	11	,	,	PUNCT
ejpam-6227	141	12	ej	ej	X
ejpam-6227	141	13	]	]	X
ejpam-6227	141	14	,	,	PUNCT
ejpam-6227	141	15	[	[	X
ejpam-6227	141	16	gj	gj	INTJ
ejpam-6227	141	17	,	,	PUNCT
ejpam-6227	141	18	hj	hj	PROPN
ejpam-6227	141	19	,	,	PUNCT
ejpam-6227	141	20	lj	lj	PROPN
ejpam-6227	141	21	]	]	PUNCT
ejpam-6227	141	22	]	]	PUNCT
ejpam-6227	141	23	,	,	PUNCT
ejpam-6227	141	24	score	score	NOUN
ejpam-6227	141	25	function	function	NOUN
ejpam-6227	141	26	i	i	PRON
ejpam-6227	141	27	is	be	AUX
ejpam-6227	141	28	defined	define	VERB
ejpam-6227	141	29	as	as	ADP
ejpam-6227	141	30	:	:	PUNCT
ejpam-6227	141	31	i	i	PRON
ejpam-6227	141	32	=	=	PUNCT
ejpam-6227	141	33	⟨[cj+dj+ej	⟨[cj+dj+ej	NOUN
ejpam-6227	141	34	]	]	PUNCT
ejpam-6227	141	35	−[gj+hj+lj	−[gj+hj+lj	X
ejpam-6227	141	36	]	]	X
ejpam-6227	141	37	⟩	⟩	NOUN
ejpam-6227	141	38	6	6	NUM
ejpam-6227	141	39	.	.	PUNCT
ejpam-6227	142	1	definition	definition	NOUN
ejpam-6227	142	2	7	7	NUM
ejpam-6227	142	3	.	.	PUNCT
ejpam-6227	143	1	the	the	DET
ejpam-6227	143	2	tifns	tifns	NOUN
ejpam-6227	143	3	are	be	AUX
ejpam-6227	143	4	a	a	PRON
ejpam-6227	143	5	=	=	X
ejpam-6227	143	6	[	[	PUNCT
ejpam-6227	143	7	cj	cj	X
ejpam-6227	143	8	,	,	PUNCT
ejpam-6227	143	9	dj	dj	X
ejpam-6227	143	10	,	,	PUNCT
ejpam-6227	143	11	ej	ej	INTJ
ejpam-6227	143	12	,	,	PUNCT
ejpam-6227	143	13	gj	gj	PROPN
ejpam-6227	143	14	,	,	PUNCT
ejpam-6227	143	15	hj	hj	PROPN
ejpam-6227	143	16	,	,	PUNCT
ejpam-6227	143	17	lj	lj	PROPN
ejpam-6227	143	18	]	]	PUNCT
ejpam-6227	143	19	,	,	PUNCT
ejpam-6227	143	20	accuracy	accuracy	NOUN
ejpam-6227	143	21	function	function	NOUN
ejpam-6227	143	22	m	m	VERB
ejpam-6227	143	23	is	be	AUX
ejpam-6227	143	24	defined	define	VERB
ejpam-6227	143	25	as	as	ADP
ejpam-6227	143	26	:	:	PUNCT
ejpam-6227	143	27	m	m	ADJ
ejpam-6227	143	28	=	=	ADJ
ejpam-6227	143	29	a.	a.	NOUN
ejpam-6227	143	30	fahmi	fahmi	PROPN
ejpam-6227	143	31	et	et	PROPN
ejpam-6227	143	32	al	al	PROPN
ejpam-6227	143	33	.	.	PUNCT
ejpam-6227	143	34	/	/	SYM
ejpam-6227	143	35	eur	eur	PROPN
ejpam-6227	143	36	.	.	PUNCT
ejpam-6227	144	1	j.	j.	PROPN
ejpam-6227	144	2	pure	pure	PROPN
ejpam-6227	144	3	appl	appl	PROPN
ejpam-6227	144	4	.	.	PROPN
ejpam-6227	144	5	math	math	PROPN
ejpam-6227	144	6	,	,	PUNCT
ejpam-6227	144	7	18	18	NUM
ejpam-6227	144	8	(	(	PUNCT
ejpam-6227	144	9	3	3	NUM
ejpam-6227	144	10	)	)	PUNCT
ejpam-6227	144	11	(	(	PUNCT
ejpam-6227	144	12	2025	2025	NUM
ejpam-6227	144	13	)	)	PUNCT
ejpam-6227	144	14	,	,	PUNCT
ejpam-6227	144	15	6227	6227	NUM
ejpam-6227	144	16	8	8	NUM
ejpam-6227	144	17	of	of	ADP
ejpam-6227	144	18	37	37	NUM
ejpam-6227	144	19	⟨[cj+dj+ej	⟨[cj+dj+ej	NOUN
ejpam-6227	144	20	]	]	X
ejpam-6227	145	1	+	+	PROPN
ejpam-6227	145	2	[	[	X
ejpam-6227	145	3	gj+hj+lj	gj+hj+lj	X
ejpam-6227	145	4	]	]	X
ejpam-6227	145	5	⟩	⟩	NOUN
ejpam-6227	145	6	6	6	NUM
ejpam-6227	145	7	.	.	PUNCT
ejpam-6227	146	1	tiffwa	tiffwa	NOUN
ejpam-6227	146	2	,	,	PUNCT
ejpam-6227	146	3	tiffowa	tiffowa	ADJ
ejpam-6227	146	4	,	,	PUNCT
ejpam-6227	146	5	tiffha	tiffha	ADJ
ejpam-6227	146	6	,	,	PUNCT
ejpam-6227	146	7	tiffwg	tiffwg	NOUN
ejpam-6227	146	8	,	,	PUNCT
ejpam-6227	146	9	tiffowg	tiffowg	NOUN
ejpam-6227	146	10	,	,	PUNCT
ejpam-6227	146	11	and	and	CCONJ
ejpam-6227	146	12	tiffhg	tiffhg	NOUN
ejpam-6227	146	13	are	be	AUX
ejpam-6227	146	14	the	the	DET
ejpam-6227	146	15	aggregation	aggregation	NOUN
ejpam-6227	146	16	operators	operator	NOUN
ejpam-6227	146	17	shown	show	VERB
ejpam-6227	146	18	in	in	ADP
ejpam-6227	146	19	figure	figure	NOUN
ejpam-6227	146	20	4	4	NUM
ejpam-6227	146	21	.	.	PUNCT
ejpam-6227	147	1	the	the	DET
ejpam-6227	147	2	six	six	NUM
ejpam-6227	147	3	suggested	suggest	VERB
ejpam-6227	147	4	aggregation	aggregation	NOUN
ejpam-6227	147	5	operations	operation	NOUN
ejpam-6227	147	6	for	for	ADP
ejpam-6227	147	7	processing	processing	NOUN
ejpam-6227	147	8	decisionmaking	decisionmake	VERB
ejpam-6227	147	9	data	datum	NOUN
ejpam-6227	147	10	in	in	ADP
ejpam-6227	147	11	the	the	DET
ejpam-6227	147	12	form	form	NOUN
ejpam-6227	147	13	of	of	ADP
ejpam-6227	147	14	triangular	triangular	NOUN
ejpam-6227	147	15	intuitionistic	intuitionistic	ADJ
ejpam-6227	147	16	fuzzy	fuzzy	ADJ
ejpam-6227	147	17	numbers	number	NOUN
ejpam-6227	147	18	(	(	PUNCT
ejpam-6227	147	19	tifns	tifns	NOUN
ejpam-6227	147	20	)	)	PUNCT
ejpam-6227	147	21	within	within	ADP
ejpam-6227	147	22	the	the	DET
ejpam-6227	147	23	frank	frank	PROPN
ejpam-6227	147	24	t	t	PROPN
ejpam-6227	147	25	-	-	PUNCT
ejpam-6227	147	26	norm	norm	NOUN
ejpam-6227	147	27	framework	framework	NOUN
ejpam-6227	147	28	are	be	AUX
ejpam-6227	147	29	depicted	depict	VERB
ejpam-6227	147	30	in	in	ADP
ejpam-6227	147	31	this	this	DET
ejpam-6227	147	32	image	image	NOUN
ejpam-6227	147	33	.	.	PUNCT
ejpam-6227	148	1	these	these	DET
ejpam-6227	148	2	operators	operator	NOUN
ejpam-6227	148	3	were	be	AUX
ejpam-6227	148	4	created	create	VERB
ejpam-6227	148	5	especially	especially	ADV
ejpam-6227	148	6	to	to	PART
ejpam-6227	148	7	combine	combine	VERB
ejpam-6227	148	8	several	several	ADJ
ejpam-6227	148	9	criteria	criterion	NOUN
ejpam-6227	148	10	or	or	CCONJ
ejpam-6227	148	11	professional	professional	ADJ
ejpam-6227	148	12	judgments	judgment	NOUN
ejpam-6227	148	13	while	while	SCONJ
ejpam-6227	148	14	taking	take	VERB
ejpam-6227	148	15	into	into	ADP
ejpam-6227	148	16	account	account	NOUN
ejpam-6227	148	17	the	the	DET
ejpam-6227	148	18	degrees	degree	NOUN
ejpam-6227	148	19	of	of	ADP
ejpam-6227	148	20	membership	membership	NOUN
ejpam-6227	148	21	,	,	PUNCT
ejpam-6227	148	22	non	non	ADJ
ejpam-6227	148	23	-	-	NOUN
ejpam-6227	148	24	membership	membership	NOUN
ejpam-6227	148	25	,	,	PUNCT
ejpam-6227	148	26	and	and	CCONJ
ejpam-6227	148	27	hesitancy	hesitancy	NOUN
ejpam-6227	148	28	that	that	PRON
ejpam-6227	148	29	are	be	AUX
ejpam-6227	148	30	present	present	ADJ
ejpam-6227	148	31	in	in	ADP
ejpam-6227	148	32	intuitionistic	intuitionistic	ADJ
ejpam-6227	148	33	fuzzy	fuzzy	ADJ
ejpam-6227	148	34	settings	setting	NOUN
ejpam-6227	148	35	.	.	PUNCT
ejpam-6227	149	1	figure	figure	NOUN
ejpam-6227	149	2	4	4	NUM
ejpam-6227	149	3	is	be	AUX
ejpam-6227	149	4	given	give	VERB
ejpam-6227	149	5	as	as	ADP
ejpam-6227	149	6	below	below	ADP
ejpam-6227	149	7	4	4	NUM
ejpam-6227	149	8	.	.	PUNCT
ejpam-6227	149	9	tifns	tifns	NOUN
ejpam-6227	149	10	aggregation	aggregation	NOUN
ejpam-6227	149	11	operator	operator	NOUN
ejpam-6227	149	12	based	base	VERB
ejpam-6227	149	13	on	on	ADP
ejpam-6227	149	14	frank	frank	ADJ
ejpam-6227	149	15	this	this	DET
ejpam-6227	149	16	section	section	NOUN
ejpam-6227	149	17	presents	present	VERB
ejpam-6227	149	18	the	the	DET
ejpam-6227	149	19	tiffwa	tiffwa	NOUN
ejpam-6227	149	20	,	,	PUNCT
ejpam-6227	149	21	tiffowa	tiffowa	ADJ
ejpam-6227	149	22	,	,	PUNCT
ejpam-6227	149	23	tiffwha	tiffwha	NOUN
ejpam-6227	149	24	,	,	PUNCT
ejpam-6227	149	25	tiffwg	tiffwg	NOUN
ejpam-6227	149	26	,	,	PUNCT
ejpam-6227	149	27	tiffowg	tiffowg	NOUN
ejpam-6227	149	28	and	and	CCONJ
ejpam-6227	149	29	tiffhg	tiffhg	VERB
ejpam-6227	149	30	operators	operator	NOUN
ejpam-6227	149	31	new	new	ADJ
ejpam-6227	149	32	methods	method	NOUN
ejpam-6227	149	33	for	for	ADP
ejpam-6227	149	34	tifns	tifns	NOUN
ejpam-6227	149	35	with	with	ADP
ejpam-6227	149	36	several	several	ADJ
ejpam-6227	149	37	noteworthy	noteworthy	ADJ
ejpam-6227	149	38	characteristics	characteristic	NOUN
ejpam-6227	149	39	based	base	VERB
ejpam-6227	149	40	on	on	ADP
ejpam-6227	149	41	frank	frank	PROPN
ejpam-6227	149	42	operators	operator	NOUN
ejpam-6227	149	43	.	.	PUNCT
ejpam-6227	150	1	4.1	4.1	NUM
ejpam-6227	150	2	.	.	PUNCT
ejpam-6227	150	3	tiffwa	tiffwa	NOUN
ejpam-6227	150	4	operator	operator	NOUN
ejpam-6227	150	5	definition	definition	NOUN
ejpam-6227	150	6	8	8	NUM
ejpam-6227	150	7	.	.	PUNCT
ejpam-6227	151	1	let	let	VERB
ejpam-6227	151	2	kj	kj	NOUN
ejpam-6227	152	1	=	=	PUNCT
ejpam-6227	153	1	[	[	PUNCT
ejpam-6227	153	2	[	[	X
ejpam-6227	153	3	cj	cj	X
ejpam-6227	153	4	,	,	PUNCT
ejpam-6227	153	5	dj	dj	X
ejpam-6227	153	6	,	,	PUNCT
ejpam-6227	153	7	ej	ej	X
ejpam-6227	153	8	]	]	X
ejpam-6227	153	9	,	,	PUNCT
ejpam-6227	153	10	[	[	X
ejpam-6227	153	11	gj	gj	INTJ
ejpam-6227	153	12	,	,	PUNCT
ejpam-6227	153	13	hj	hj	PROPN
ejpam-6227	153	14	,	,	PUNCT
ejpam-6227	153	15	lj	lj	PROPN
ejpam-6227	153	16	]	]	PUNCT
ejpam-6227	153	17	]	]	PUNCT
ejpam-6227	153	18	be	be	AUX
ejpam-6227	153	19	the	the	DET
ejpam-6227	153	20	gathering	gathering	NOUN
ejpam-6227	153	21	of	of	ADP
ejpam-6227	153	22	tifns	tifns	NOUN
ejpam-6227	153	23	and	and	CCONJ
ejpam-6227	153	24	u	u	NOUN
ejpam-6227	153	25	=	=	PUNCT
ejpam-6227	153	26	(	(	PUNCT
ejpam-6227	153	27	u1	u1	PROPN
ejpam-6227	153	28	,	,	PUNCT
ejpam-6227	153	29	u2	u2	NOUN
ejpam-6227	153	30	,	,	PUNCT
ejpam-6227	153	31	...	...	PUNCT
ejpam-6227	153	32	,	,	PUNCT
ejpam-6227	153	33	um)t	um)t	PROPN
ejpam-6227	153	34	is	be	AUX
ejpam-6227	153	35	the	the	DET
ejpam-6227	153	36	weight	weight	NOUN
ejpam-6227	153	37	vector	vector	NOUN
ejpam-6227	153	38	with	with	ADP
ejpam-6227	153	39	uj	uj	PROPN
ejpam-6227	153	40	∈	∈	PROPN
ejpam-6227	154	1	[	[	X
ejpam-6227	154	2	0	0	NUM
ejpam-6227	154	3	,	,	PUNCT
ejpam-6227	154	4	1	1	NUM
ejpam-6227	154	5	]	]	PUNCT
ejpam-6227	154	6	and	and	CCONJ
ejpam-6227	154	7	m∑	m∑	ADV
ejpam-6227	154	8	j=1	j=1	PROPN
ejpam-6227	154	9	uj	uj	PROPN
ejpam-6227	154	10	=	=	NOUN
ejpam-6227	154	11	1	1	PROPN
ejpam-6227	154	12	.	.	PUNCT
ejpam-6227	154	13	then	then	ADV
ejpam-6227	154	14	tiffwa	tiffwa	NOUN
ejpam-6227	154	15	(	(	PUNCT
ejpam-6227	154	16	k1	k1	NOUN
ejpam-6227	154	17	,	,	PUNCT
ejpam-6227	154	18	k2	k2	NOUN
ejpam-6227	154	19	,	,	PUNCT
ejpam-6227	154	20	...	...	PUNCT
ejpam-6227	154	21	,	,	PUNCT
ejpam-6227	154	22	km	km	NOUN
ejpam-6227	154	23	)	)	PUNCT
ejpam-6227	154	24	=	=	PUNCT
ejpam-6227	155	1	m⊕	m⊕	VERB
ejpam-6227	155	2	j=1	j=1	NOUN
ejpam-6227	155	3	ujkj	ujkj	ADJ
ejpam-6227	155	4	is	be	AUX
ejpam-6227	155	5	said	say	VERB
ejpam-6227	155	6	tiffwa	tiffwa	NOUN
ejpam-6227	155	7	operator	operator	NOUN
ejpam-6227	155	8	.	.	PUNCT
ejpam-6227	156	1	a.	a.	PROPN
ejpam-6227	156	2	fahmi	fahmi	PROPN
ejpam-6227	156	3	et	et	PROPN
ejpam-6227	156	4	al	al	PROPN
ejpam-6227	156	5	.	.	PUNCT
ejpam-6227	156	6	/	/	SYM
ejpam-6227	156	7	eur	eur	PROPN
ejpam-6227	156	8	.	.	PUNCT
ejpam-6227	157	1	j.	j.	PROPN
ejpam-6227	157	2	pure	pure	PROPN
ejpam-6227	157	3	appl	appl	PROPN
ejpam-6227	157	4	.	.	PROPN
ejpam-6227	157	5	math	math	PROPN
ejpam-6227	157	6	,	,	PUNCT
ejpam-6227	157	7	18	18	NUM
ejpam-6227	157	8	(	(	PUNCT
ejpam-6227	157	9	3	3	NUM
ejpam-6227	157	10	)	)	PUNCT
ejpam-6227	157	11	(	(	PUNCT
ejpam-6227	157	12	2025	2025	NUM
ejpam-6227	157	13	)	)	PUNCT
ejpam-6227	157	14	,	,	PUNCT
ejpam-6227	157	15	6227	6227	NUM
ejpam-6227	157	16	9	9	NUM
ejpam-6227	157	17	of	of	ADP
ejpam-6227	157	18	37	37	NUM
ejpam-6227	157	19	theorem	theorem	NOUN
ejpam-6227	157	20	1	1	NUM
ejpam-6227	157	21	.	.	PUNCT
ejpam-6227	158	1	the	the	DET
ejpam-6227	158	2	collection	collection	NOUN
ejpam-6227	158	3	of	of	ADP
ejpam-6227	158	4	tifns	tifns	NOUN
ejpam-6227	158	5	are	be	AUX
ejpam-6227	158	6	aj	aj	PROPN
ejpam-6227	158	7	=	=	PUNCT
ejpam-6227	159	1	[	[	PUNCT
ejpam-6227	159	2	[	[	X
ejpam-6227	159	3	cj	cj	X
ejpam-6227	159	4	,	,	PUNCT
ejpam-6227	159	5	dj	dj	X
ejpam-6227	159	6	,	,	PUNCT
ejpam-6227	159	7	ej	ej	X
ejpam-6227	159	8	]	]	X
ejpam-6227	159	9	,	,	PUNCT
ejpam-6227	159	10	[	[	X
ejpam-6227	159	11	gj	gj	INTJ
ejpam-6227	159	12	,	,	PUNCT
ejpam-6227	159	13	hj	hj	PROPN
ejpam-6227	159	14	,	,	PUNCT
ejpam-6227	159	15	lj	lj	PROPN
ejpam-6227	159	16	]	]	PUNCT
ejpam-6227	159	17	]	]	PUNCT
ejpam-6227	159	18	and	and	CCONJ
ejpam-6227	159	19	λ	λ	X
ejpam-6227	159	20	=	=	SYM
ejpam-6227	159	21	(	(	PUNCT
ejpam-6227	159	22	λ1	λ1	ADJ
ejpam-6227	159	23	,	,	PUNCT
ejpam-6227	159	24	λ2	λ2	NOUN
ejpam-6227	159	25	,	,	PUNCT
ejpam-6227	159	26	...	...	PUNCT
ejpam-6227	159	27	,	,	PUNCT
ejpam-6227	159	28	λn)t	λn)t	PRON
ejpam-6227	159	29	is	be	AUX
ejpam-6227	159	30	the	the	DET
ejpam-6227	159	31	weight	weight	NOUN
ejpam-6227	159	32	vector	vector	NOUN
ejpam-6227	159	33	with	with	ADP
ejpam-6227	159	34	λj	λj	PROPN
ejpam-6227	159	35	∈	∈	PROPN
ejpam-6227	160	1	[	[	X
ejpam-6227	160	2	0	0	NUM
ejpam-6227	160	3	,	,	PUNCT
ejpam-6227	160	4	1	1	NUM
ejpam-6227	160	5	]	]	PUNCT
ejpam-6227	160	6	and	and	CCONJ
ejpam-6227	160	7	n∑	n∑	PROPN
ejpam-6227	160	8	j=1	j=1	NOUN
ejpam-6227	160	9	λj	λj	X
ejpam-6227	160	10	=	=	SYM
ejpam-6227	160	11	1	1	X
ejpam-6227	160	12	.	.	PUNCT
ejpam-6227	161	1	then	then	ADV
ejpam-6227	161	2	it	it	PRON
ejpam-6227	161	3	is	be	AUX
ejpam-6227	161	4	said	say	VERB
ejpam-6227	161	5	tiffwa	tiffwa	NOUN
ejpam-6227	161	6	operator	operator	NOUN
ejpam-6227	161	7	and	and	CCONJ
ejpam-6227	161	8	tiffwa(a1	tiffwa(a1	NOUN
ejpam-6227	161	9	,	,	PUNCT
ejpam-6227	161	10	a2	a2	PROPN
ejpam-6227	161	11	,	,	PUNCT
ejpam-6227	161	12	...	...	PUNCT
ejpam-6227	161	13	,	,	PUNCT
ejpam-6227	161	14	an	an	X
ejpam-6227	161	15	)	)	PUNCT
ejpam-6227	161	16	=	=	ADJ
ejpam-6227	161	17			NOUN
ejpam-6227	161	18			NOUN
ejpam-6227	161	19	1	1	NUM
ejpam-6227	161	20	−	−	NOUN
ejpam-6227	161	21	log	log	NOUN
ejpam-6227	161	22	1	1	NOUN
ejpam-6227	161	23	+	+	PROPN
ejpam-6227	161	24	n∏	n∏	PROPN
ejpam-6227	161	25	j=1	j=1	NOUN
ejpam-6227	161	26	(	(	PUNCT
ejpam-6227	161	27	β	β	X
ejpam-6227	161	28	1−cj	1−cj	NUM
ejpam-6227	161	29	−1)λj	−1)λj	X
ejpam-6227	161	30	(	(	PUNCT
ejpam-6227	161	31	β−1)λj	β−1)λj	X
ejpam-6227	161	32	−1	−1	NOUN
ejpam-6227	161	33			ADJ
ejpam-6227	161	34	β	β	NOUN
ejpam-6227	161	35	,	,	PUNCT
ejpam-6227	161	36	1	1	NUM
ejpam-6227	161	37	−	−	NOUN
ejpam-6227	161	38	log	log	NOUN
ejpam-6227	161	39	1	1	NOUN
ejpam-6227	161	40	+	+	PROPN
ejpam-6227	161	41	n∏	n∏	PROPN
ejpam-6227	161	42	j=1	j=1	NOUN
ejpam-6227	161	43	(	(	PUNCT
ejpam-6227	161	44	β	β	X
ejpam-6227	161	45	1−dj	1−dj	X
ejpam-6227	162	1	−1)λj	−1)λj	PROPN
ejpam-6227	162	2	(	(	PUNCT
ejpam-6227	162	3	β−1)λj	β−1)λj	X
ejpam-6227	162	4	−1	−1	NOUN
ejpam-6227	162	5			ADJ
ejpam-6227	162	6	β	β	NOUN
ejpam-6227	162	7	,	,	PUNCT
ejpam-6227	162	8	1	1	NUM
ejpam-6227	162	9	−	−	NOUN
ejpam-6227	162	10	log	log	NOUN
ejpam-6227	162	11	1	1	NOUN
ejpam-6227	162	12	+	+	PROPN
ejpam-6227	162	13	n∏	n∏	PROPN
ejpam-6227	162	14	j=1	j=1	NOUN
ejpam-6227	162	15	(	(	PUNCT
ejpam-6227	162	16	β	β	X
ejpam-6227	162	17	1−ej	1−ej	NUM
ejpam-6227	162	18	−1)λj	−1)λj	X
ejpam-6227	162	19	(	(	PUNCT
ejpam-6227	162	20	β−1)λj	β−1)λj	X
ejpam-6227	162	21	−1	−1	NOUN
ejpam-6227	162	22			SCONJ
ejpam-6227	162	23	β	β	NOUN
ejpam-6227	162	24			NOUN
ejpam-6227	162	25	,	,	PUNCT
ejpam-6227	162	26			ADJ
ejpam-6227	162	27	log	log	NOUN
ejpam-6227	162	28	1	1	PROPN
ejpam-6227	162	29	+	+	PROPN
ejpam-6227	162	30	n∏	n∏	PROPN
ejpam-6227	162	31	j=1	j=1	NOUN
ejpam-6227	162	32	(	(	PUNCT
ejpam-6227	162	33	β	β	NOUN
ejpam-6227	162	34	1−gj	1−gj	NOUN
ejpam-6227	163	1	−1)λj	−1)λj	PROPN
ejpam-6227	163	2	(	(	PUNCT
ejpam-6227	163	3	β−1)λj	β−1)λj	X
ejpam-6227	163	4	−1	−1	NOUN
ejpam-6227	163	5			ADJ
ejpam-6227	163	6	β	β	NOUN
ejpam-6227	163	7	,	,	PUNCT
ejpam-6227	163	8	log	log	VERB
ejpam-6227	163	9	1	1	PROPN
ejpam-6227	163	10	+	+	PROPN
ejpam-6227	163	11	n∏	n∏	PROPN
ejpam-6227	163	12	j=1	j=1	NOUN
ejpam-6227	163	13	(	(	PUNCT
ejpam-6227	163	14	β	β	NOUN
ejpam-6227	163	15	1−hj	1−hj	NUM
ejpam-6227	164	1	−1)λj	−1)λj	NOUN
ejpam-6227	164	2	(	(	PUNCT
ejpam-6227	164	3	β−1)λj	β−1)λj	X
ejpam-6227	164	4	−1	−1	NOUN
ejpam-6227	164	5			ADJ
ejpam-6227	164	6	β	β	NOUN
ejpam-6227	164	7	,	,	PUNCT
ejpam-6227	164	8	log	log	VERB
ejpam-6227	164	9	1	1	PROPN
ejpam-6227	164	10	+	+	PROPN
ejpam-6227	164	11	n∏	n∏	PROPN
ejpam-6227	164	12	j=1	j=1	NOUN
ejpam-6227	164	13	(	(	PUNCT
ejpam-6227	164	14	β	β	X
ejpam-6227	164	15	1−lj	1−lj	NUM
ejpam-6227	164	16	−1)λj	−1)λj	PROPN
ejpam-6227	164	17	(	(	PUNCT
ejpam-6227	164	18	β−1)λj	β−1)λj	X
ejpam-6227	164	19	−1	−1	NOUN
ejpam-6227	164	20			PROPN
ejpam-6227	164	21	β	β	X
ejpam-6227	164	22			PROPN
ejpam-6227	164	23			NUM
ejpam-6227	164	24	.	.	PUNCT
ejpam-6227	165	1	proof	proof	NOUN
ejpam-6227	165	2	.	.	PUNCT
ejpam-6227	166	1	since	since	SCONJ
ejpam-6227	166	2	n	n	NOUN
ejpam-6227	166	3	=	=	SYM
ejpam-6227	166	4	1	1	NUM
ejpam-6227	166	5	,	,	PUNCT
ejpam-6227	166	6	a1λ1	a1λ1	PUNCT
ejpam-6227	166	7	=	=	SYM
ejpam-6227	166	8			NOUN
ejpam-6227	166	9	1	1	PROPN
ejpam-6227	166	10	−	−	PROPN
ejpam-6227	166	11	log	log	NOUN
ejpam-6227	166	12	(	(	PUNCT
ejpam-6227	166	13	1	1	NUM
ejpam-6227	166	14	+	+	CCONJ
ejpam-6227	166	15	(	(	PUNCT
ejpam-6227	166	16	β1−c1	β1−c1	X
ejpam-6227	166	17	−1)λj	−1)λj	X
ejpam-6227	166	18	(	(	PUNCT
ejpam-6227	166	19	β−1)λj	β−1)λj	X
ejpam-6227	166	20	−1	−1	NOUN
ejpam-6227	166	21	)	)	PUNCT
ejpam-6227	166	22	β	β	NOUN
ejpam-6227	166	23	,	,	PUNCT
ejpam-6227	166	24	1	1	NUM
ejpam-6227	166	25	−	−	NOUN
ejpam-6227	166	26	log	log	NOUN
ejpam-6227	166	27	(	(	PUNCT
ejpam-6227	166	28	1	1	NUM
ejpam-6227	166	29	+	+	CCONJ
ejpam-6227	166	30	(	(	PUNCT
ejpam-6227	166	31	β1−d1	β1−d1	ADJ
ejpam-6227	166	32	−1)λj	−1)λj	PROPN
ejpam-6227	166	33	(	(	PUNCT
ejpam-6227	166	34	β−1)λj	β−1)λj	X
ejpam-6227	166	35	−1	−1	NOUN
ejpam-6227	166	36	)	)	PUNCT
ejpam-6227	166	37	β	β	NOUN
ejpam-6227	166	38	,	,	PUNCT
ejpam-6227	166	39	1	1	NUM
ejpam-6227	166	40	−	−	NOUN
ejpam-6227	166	41	log	log	NOUN
ejpam-6227	166	42	(	(	PUNCT
ejpam-6227	166	43	1	1	NUM
ejpam-6227	166	44	+	+	CCONJ
ejpam-6227	166	45	(	(	PUNCT
ejpam-6227	167	1	β1−e1	β1−e1	X
ejpam-6227	167	2	−1)λj	−1)λj	X
ejpam-6227	167	3	(	(	PUNCT
ejpam-6227	167	4	β−1)λj	β−1)λj	X
ejpam-6227	167	5	−1	−1	NOUN
ejpam-6227	167	6	)	)	PUNCT
ejpam-6227	167	7	β	β	NOUN
ejpam-6227	167	8			NUM
ejpam-6227	167	9	,	,	PUNCT
ejpam-6227	167	10	log	log	PROPN
ejpam-6227	167	11	(	(	PUNCT
ejpam-6227	167	12	1	1	NUM
ejpam-6227	167	13	+	+	CCONJ
ejpam-6227	167	14	(	(	PUNCT
ejpam-6227	167	15	β1−g1	β1−g1	X
ejpam-6227	167	16	−1)λj	−1)λj	X
ejpam-6227	167	17	(	(	PUNCT
ejpam-6227	167	18	β−1)λj	β−1)λj	X
ejpam-6227	167	19	−1	−1	NOUN
ejpam-6227	167	20	)	)	PUNCT
ejpam-6227	167	21	β	β	X
ejpam-6227	167	22	,	,	PUNCT
ejpam-6227	167	23	log	log	PROPN
ejpam-6227	167	24	(	(	PUNCT
ejpam-6227	167	25	1	1	NUM
ejpam-6227	167	26	+	+	NUM
ejpam-6227	167	27	(	(	PUNCT
ejpam-6227	167	28	β1−h1	β1−h1	X
ejpam-6227	167	29	−1)λj	−1)λj	X
ejpam-6227	167	30	(	(	PUNCT
ejpam-6227	167	31	β−1)λj	β−1)λj	X
ejpam-6227	167	32	−1	−1	NOUN
ejpam-6227	167	33	)	)	PUNCT
ejpam-6227	167	34	β	β	X
ejpam-6227	167	35	,	,	PUNCT
ejpam-6227	167	36	log	log	PROPN
ejpam-6227	167	37	(	(	PUNCT
ejpam-6227	167	38	1	1	NUM
ejpam-6227	167	39	+	+	CCONJ
ejpam-6227	167	40	(	(	PUNCT
ejpam-6227	167	41	β1−l1	β1−l1	X
ejpam-6227	167	42	−1)λj	−1)λj	X
ejpam-6227	167	43	(	(	PUNCT
ejpam-6227	167	44	β−1)λj	β−1)λj	X
ejpam-6227	167	45	−1	−1	NOUN
ejpam-6227	167	46	)	)	PUNCT
ejpam-6227	167	47	β	β	X
ejpam-6227	167	48			NUM
ejpam-6227	167	49			NUM
ejpam-6227	167	50	;	;	PUNCT
ejpam-6227	167	51	a2λ2	a2λ2	NUM
ejpam-6227	167	52	=	=	SYM
ejpam-6227	167	53			NOUN
ejpam-6227	167	54	1	1	PROPN
ejpam-6227	168	1	−	−	PROPN
ejpam-6227	169	1	log	log	NOUN
ejpam-6227	169	2	(	(	PUNCT
ejpam-6227	169	3	1	1	NUM
ejpam-6227	169	4	+	+	CCONJ
ejpam-6227	169	5	(	(	PUNCT
ejpam-6227	169	6	β1−c2	β1−c2	NUM
ejpam-6227	169	7	−1)λj	−1)λj	X
ejpam-6227	169	8	(	(	PUNCT
ejpam-6227	169	9	β−1)λj	β−1)λj	X
ejpam-6227	169	10	−1	−1	NOUN
ejpam-6227	169	11	)	)	PUNCT
ejpam-6227	169	12	β	β	NOUN
ejpam-6227	169	13	,	,	PUNCT
ejpam-6227	169	14	1	1	NUM
ejpam-6227	169	15	−	−	NOUN
ejpam-6227	169	16	log	log	NOUN
ejpam-6227	169	17	(	(	PUNCT
ejpam-6227	169	18	1	1	NUM
ejpam-6227	169	19	+	+	CCONJ
ejpam-6227	169	20	(	(	PUNCT
ejpam-6227	169	21	β1−d2	β1−d2	X
ejpam-6227	169	22	−1)λj	−1)λj	X
ejpam-6227	169	23	(	(	PUNCT
ejpam-6227	169	24	β−1)λj	β−1)λj	X
ejpam-6227	169	25	−1	−1	NOUN
ejpam-6227	169	26	)	)	PUNCT
ejpam-6227	169	27	β	β	NOUN
ejpam-6227	169	28	,	,	PUNCT
ejpam-6227	169	29	1	1	NUM
ejpam-6227	169	30	−	−	NOUN
ejpam-6227	169	31	log	log	NOUN
ejpam-6227	169	32	(	(	PUNCT
ejpam-6227	169	33	1	1	NUM
ejpam-6227	169	34	+	+	CCONJ
ejpam-6227	169	35	(	(	PUNCT
ejpam-6227	169	36	β1−e2	β1−e2	PUNCT
ejpam-6227	169	37	−1)λj	−1)λj	X
ejpam-6227	169	38	(	(	PUNCT
ejpam-6227	169	39	β−1)λj	β−1)λj	X
ejpam-6227	169	40	−1	−1	NOUN
ejpam-6227	169	41	)	)	PUNCT
ejpam-6227	169	42	β	β	NOUN
ejpam-6227	169	43			NUM
ejpam-6227	169	44	,	,	PUNCT
ejpam-6227	169	45	log	log	PROPN
ejpam-6227	169	46	(	(	PUNCT
ejpam-6227	169	47	1	1	NUM
ejpam-6227	169	48	+	+	CCONJ
ejpam-6227	169	49	(	(	PUNCT
ejpam-6227	169	50	β1−g2	β1−g2	NUM
ejpam-6227	169	51	−1)λj	−1)λj	X
ejpam-6227	169	52	(	(	PUNCT
ejpam-6227	169	53	β−1)λj	β−1)λj	X
ejpam-6227	169	54	−1	−1	NOUN
ejpam-6227	169	55	)	)	PUNCT
ejpam-6227	169	56	β	β	X
ejpam-6227	169	57	,	,	PUNCT
ejpam-6227	169	58	log	log	PROPN
ejpam-6227	169	59	(	(	PUNCT
ejpam-6227	169	60	1	1	NUM
ejpam-6227	169	61	+	+	CCONJ
ejpam-6227	169	62	(	(	PUNCT
ejpam-6227	169	63	β1−h2	β1−h2	NUM
ejpam-6227	169	64	−1)λj	−1)λj	X
ejpam-6227	169	65	(	(	PUNCT
ejpam-6227	169	66	β−1)λj	β−1)λj	X
ejpam-6227	169	67	−1	−1	NOUN
ejpam-6227	169	68	)	)	PUNCT
ejpam-6227	169	69	β	β	X
ejpam-6227	169	70	,	,	PUNCT
ejpam-6227	169	71	log	log	PROPN
ejpam-6227	169	72	(	(	PUNCT
ejpam-6227	169	73	1	1	NUM
ejpam-6227	169	74	+	+	CCONJ
ejpam-6227	169	75	(	(	PUNCT
ejpam-6227	169	76	β1−l2	β1−l2	NUM
ejpam-6227	169	77	−1)λj	−1)λj	X
ejpam-6227	169	78	(	(	PUNCT
ejpam-6227	169	79	β−1)λj	β−1)λj	X
ejpam-6227	169	80	−1	−1	NOUN
ejpam-6227	169	81	)	)	PUNCT
ejpam-6227	169	82	β	β	X
ejpam-6227	169	83			NUM
ejpam-6227	169	84			NUM
ejpam-6227	169	85	n	n	NOUN
ejpam-6227	169	86	=	=	SYM
ejpam-6227	169	87	k	k	PROPN
ejpam-6227	169	88	a.	a.	PROPN
ejpam-6227	169	89	fahmi	fahmi	PROPN
ejpam-6227	169	90	et	et	PROPN
ejpam-6227	169	91	al	al	PROPN
ejpam-6227	169	92	.	.	PUNCT
ejpam-6227	169	93	/	/	SYM
ejpam-6227	169	94	eur	eur	PROPN
ejpam-6227	169	95	.	.	PUNCT
ejpam-6227	170	1	j.	j.	PROPN
ejpam-6227	170	2	pure	pure	PROPN
ejpam-6227	170	3	appl	appl	PROPN
ejpam-6227	170	4	.	.	PROPN
ejpam-6227	170	5	math	math	PROPN
ejpam-6227	170	6	,	,	PUNCT
ejpam-6227	170	7	18	18	NUM
ejpam-6227	170	8	(	(	PUNCT
ejpam-6227	170	9	3	3	NUM
ejpam-6227	170	10	)	)	PUNCT
ejpam-6227	170	11	(	(	PUNCT
ejpam-6227	170	12	2025	2025	NUM
ejpam-6227	170	13	)	)	PUNCT
ejpam-6227	170	14	,	,	PUNCT
ejpam-6227	170	15	6227	6227	NUM
ejpam-6227	170	16	10	10	NUM
ejpam-6227	170	17	of	of	ADP
ejpam-6227	170	18	37	37	NUM
ejpam-6227	170	19			NOUN
ejpam-6227	170	20	1	1	NUM
ejpam-6227	170	21	−	−	NOUN
ejpam-6227	170	22	log	log	NOUN
ejpam-6227	170	23	1	1	NOUN
ejpam-6227	171	1	+	+	X
ejpam-6227	171	2	k∏	k∏	PROPN
ejpam-6227	171	3	j=1	j=1	NOUN
ejpam-6227	171	4	(	(	PUNCT
ejpam-6227	171	5	β	β	X
ejpam-6227	171	6	1−cj	1−cj	NUM
ejpam-6227	171	7	−1)λj	−1)λj	X
ejpam-6227	171	8	(	(	PUNCT
ejpam-6227	171	9	β−1)λj	β−1)λj	X
ejpam-6227	171	10	−1	−1	NOUN
ejpam-6227	171	11			ADJ
ejpam-6227	171	12	β	β	NOUN
ejpam-6227	171	13	,	,	PUNCT
ejpam-6227	171	14	1	1	NUM
ejpam-6227	171	15	−	−	NOUN
ejpam-6227	171	16	log	log	NOUN
ejpam-6227	171	17	1	1	NOUN
ejpam-6227	172	1	+	+	X
ejpam-6227	172	2	k∏	k∏	PROPN
ejpam-6227	172	3	j=1	j=1	NOUN
ejpam-6227	172	4	(	(	PUNCT
ejpam-6227	172	5	β	β	X
ejpam-6227	172	6	1−dj	1−dj	X
ejpam-6227	172	7	−1)λj	−1)λj	PROPN
ejpam-6227	172	8	(	(	PUNCT
ejpam-6227	172	9	β−1)λj	β−1)λj	X
ejpam-6227	172	10	−1	−1	NOUN
ejpam-6227	172	11			ADJ
ejpam-6227	172	12	β	β	NOUN
ejpam-6227	172	13	,	,	PUNCT
ejpam-6227	172	14	1	1	NUM
ejpam-6227	172	15	−	−	NOUN
ejpam-6227	172	16	log	log	NOUN
ejpam-6227	172	17	1	1	NOUN
ejpam-6227	172	18	+	+	X
ejpam-6227	172	19	k∏	k∏	PROPN
ejpam-6227	172	20	j=1	j=1	NOUN
ejpam-6227	172	21	(	(	PUNCT
ejpam-6227	172	22	β	β	X
ejpam-6227	172	23	1−ej	1−ej	NUM
ejpam-6227	172	24	−1)λj	−1)λj	X
ejpam-6227	172	25	(	(	PUNCT
ejpam-6227	172	26	β−1)λj	β−1)λj	X
ejpam-6227	172	27	−1	−1	NOUN
ejpam-6227	172	28			SCONJ
ejpam-6227	172	29	β	β	NOUN
ejpam-6227	172	30			NOUN
ejpam-6227	172	31	,	,	PUNCT
ejpam-6227	172	32			NOUN
ejpam-6227	172	33	log	log	VERB
ejpam-6227	172	34	1	1	NOUN
ejpam-6227	173	1	+	+	X
ejpam-6227	173	2	k∏	k∏	PROPN
ejpam-6227	173	3	j=1	j=1	NOUN
ejpam-6227	173	4	(	(	PUNCT
ejpam-6227	173	5	β	β	NOUN
ejpam-6227	173	6	1−gj	1−gj	NOUN
ejpam-6227	173	7	−1)λj	−1)λj	PROPN
ejpam-6227	173	8	(	(	PUNCT
ejpam-6227	173	9	β−1)λj	β−1)λj	X
ejpam-6227	173	10	−1	−1	NOUN
ejpam-6227	173	11			ADJ
ejpam-6227	173	12	β	β	NOUN
ejpam-6227	173	13	,	,	PUNCT
ejpam-6227	173	14	log	log	VERB
ejpam-6227	173	15	1	1	NOUN
ejpam-6227	174	1	+	+	X
ejpam-6227	174	2	k∏	k∏	PROPN
ejpam-6227	174	3	j=1	j=1	NOUN
ejpam-6227	174	4	(	(	PUNCT
ejpam-6227	174	5	β	β	NOUN
ejpam-6227	174	6	1−hj	1−hj	NUM
ejpam-6227	174	7	−1)λj	−1)λj	NOUN
ejpam-6227	174	8	(	(	PUNCT
ejpam-6227	174	9	β−1)λj	β−1)λj	X
ejpam-6227	174	10	−1	−1	NOUN
ejpam-6227	174	11			ADJ
ejpam-6227	174	12	β	β	NOUN
ejpam-6227	174	13	,	,	PUNCT
ejpam-6227	174	14	log	log	VERB
ejpam-6227	174	15	1	1	NOUN
ejpam-6227	174	16	+	+	X
ejpam-6227	174	17	k∏	k∏	PROPN
ejpam-6227	174	18	j=1	j=1	NOUN
ejpam-6227	174	19	(	(	PUNCT
ejpam-6227	174	20	β	β	X
ejpam-6227	174	21	1−lj	1−lj	NUM
ejpam-6227	174	22	−1)λj	−1)λj	PROPN
ejpam-6227	174	23	(	(	PUNCT
ejpam-6227	174	24	β−1)λj	β−1)λj	X
ejpam-6227	174	25	−1	−1	NOUN
ejpam-6227	174	26			SCONJ
ejpam-6227	174	27	β	β	NOUN
ejpam-6227	174	28			NOUN
ejpam-6227	174	29			NUM
ejpam-6227	174	30	n	n	PROPN
ejpam-6227	174	31	=	=	SYM
ejpam-6227	174	32	k	k	PROPN
ejpam-6227	174	33	+	+	NUM
ejpam-6227	174	34	1	1	NUM
ejpam-6227	174	35			NOUN
ejpam-6227	174	36	1	1	NUM
ejpam-6227	174	37	−	−	NOUN
ejpam-6227	174	38	log	log	NOUN
ejpam-6227	174	39	1	1	NOUN
ejpam-6227	174	40	+	+	CCONJ
ejpam-6227	174	41	k+1∏	k+1∏	NOUN
ejpam-6227	174	42	j=1	j=1	NOUN
ejpam-6227	174	43	(	(	PUNCT
ejpam-6227	174	44	β	β	X
ejpam-6227	174	45	1−cj	1−cj	NUM
ejpam-6227	174	46	−1)λj	−1)λj	X
ejpam-6227	174	47	(	(	PUNCT
ejpam-6227	174	48	β−1)λj	β−1)λj	X
ejpam-6227	174	49	−1	−1	NOUN
ejpam-6227	174	50			ADJ
ejpam-6227	174	51	β	β	NOUN
ejpam-6227	174	52	,	,	PUNCT
ejpam-6227	174	53	1	1	NUM
ejpam-6227	174	54	−	−	NOUN
ejpam-6227	174	55	log	log	NOUN
ejpam-6227	174	56	1	1	NOUN
ejpam-6227	174	57	+	+	CCONJ
ejpam-6227	174	58	k+1∏	k+1∏	NOUN
ejpam-6227	174	59	j=1	j=1	NOUN
ejpam-6227	174	60	(	(	PUNCT
ejpam-6227	174	61	β	β	X
ejpam-6227	174	62	1−dj	1−dj	X
ejpam-6227	174	63	−1)λj	−1)λj	PROPN
ejpam-6227	174	64	(	(	PUNCT
ejpam-6227	174	65	β−1)λj	β−1)λj	X
ejpam-6227	174	66	−1	−1	NOUN
ejpam-6227	174	67			ADJ
ejpam-6227	174	68	β	β	NOUN
ejpam-6227	174	69	,	,	PUNCT
ejpam-6227	174	70	1	1	NUM
ejpam-6227	174	71	−	−	NOUN
ejpam-6227	174	72	log	log	NOUN
ejpam-6227	174	73	1	1	NOUN
ejpam-6227	174	74	+	+	CCONJ
ejpam-6227	174	75	k+1∏	k+1∏	NOUN
ejpam-6227	174	76	j=1	j=1	NOUN
ejpam-6227	174	77	(	(	PUNCT
ejpam-6227	174	78	β	β	X
ejpam-6227	174	79	1−ej	1−ej	NUM
ejpam-6227	174	80	−1)λj	−1)λj	X
ejpam-6227	174	81	(	(	PUNCT
ejpam-6227	174	82	β−1)λj	β−1)λj	X
ejpam-6227	174	83	−1	−1	NOUN
ejpam-6227	174	84			SCONJ
ejpam-6227	174	85	β	β	NOUN
ejpam-6227	174	86			NOUN
ejpam-6227	174	87	,	,	PUNCT
ejpam-6227	174	88			NOUN
ejpam-6227	174	89	log	log	VERB
ejpam-6227	174	90	1	1	NOUN
ejpam-6227	174	91	+	+	CCONJ
ejpam-6227	174	92	k+1∏	k+1∏	NOUN
ejpam-6227	174	93	j=1	j=1	NOUN
ejpam-6227	174	94	(	(	PUNCT
ejpam-6227	174	95	β	β	NOUN
ejpam-6227	174	96	1−gj	1−gj	NOUN
ejpam-6227	175	1	−1)λj	−1)λj	PROPN
ejpam-6227	175	2	(	(	PUNCT
ejpam-6227	175	3	β−1)λj	β−1)λj	X
ejpam-6227	175	4	−1	−1	NOUN
ejpam-6227	175	5			ADJ
ejpam-6227	175	6	β	β	NOUN
ejpam-6227	175	7	,	,	PUNCT
ejpam-6227	175	8	log	log	VERB
ejpam-6227	175	9	1	1	NOUN
ejpam-6227	175	10	+	+	CCONJ
ejpam-6227	175	11	k+1∏	k+1∏	NOUN
ejpam-6227	175	12	j=1	j=1	NOUN
ejpam-6227	175	13	(	(	PUNCT
ejpam-6227	175	14	β	β	NOUN
ejpam-6227	175	15	1−hj	1−hj	NUM
ejpam-6227	176	1	−1)λj	−1)λj	NOUN
ejpam-6227	176	2	(	(	PUNCT
ejpam-6227	176	3	β−1)λj	β−1)λj	X
ejpam-6227	176	4	−1	−1	NOUN
ejpam-6227	176	5			ADJ
ejpam-6227	176	6	β	β	NOUN
ejpam-6227	176	7	,	,	PUNCT
ejpam-6227	176	8	log	log	VERB
ejpam-6227	176	9	1	1	NOUN
ejpam-6227	176	10	+	+	CCONJ
ejpam-6227	176	11	k+1∏	k+1∏	NOUN
ejpam-6227	176	12	j=1	j=1	NOUN
ejpam-6227	176	13	(	(	PUNCT
ejpam-6227	176	14	β	β	X
ejpam-6227	176	15	1−lj	1−lj	NUM
ejpam-6227	176	16	−1)λj	−1)λj	PROPN
ejpam-6227	176	17	(	(	PUNCT
ejpam-6227	176	18	β−1)λj	β−1)λj	X
ejpam-6227	176	19	−1	−1	NOUN
ejpam-6227	176	20			SCONJ
ejpam-6227	177	1	β	β	NOUN
ejpam-6227	177	2			NOUN
ejpam-6227	177	3			NUM
ejpam-6227	177	4	theorem	theorem	VERB
ejpam-6227	177	5	2	2	NUM
ejpam-6227	177	6	.	.	PUNCT
ejpam-6227	178	1	(	(	PUNCT
ejpam-6227	178	2	idempotency):if	idempotency):if	PROPN
ejpam-6227	178	3	z̃v	z̃v	NUM
ejpam-6227	178	4	=	=	PUNCT
ejpam-6227	179	1	[	[	PUNCT
ejpam-6227	179	2	[	[	X
ejpam-6227	179	3	cj	cj	X
ejpam-6227	179	4	,	,	PUNCT
ejpam-6227	179	5	dj	dj	X
ejpam-6227	179	6	,	,	PUNCT
ejpam-6227	179	7	ej	ej	X
ejpam-6227	179	8	]	]	X
ejpam-6227	179	9	,	,	PUNCT
ejpam-6227	179	10	[	[	X
ejpam-6227	179	11	gj	gj	INTJ
ejpam-6227	179	12	,	,	PUNCT
ejpam-6227	179	13	hj	hj	PROPN
ejpam-6227	179	14	,	,	PUNCT
ejpam-6227	179	15	lj	lj	PROPN
ejpam-6227	179	16	]	]	PUNCT
ejpam-6227	179	17	]	]	PUNCT
ejpam-6227	179	18	for	for	ADP
ejpam-6227	179	19	all	all	DET
ejpam-6227	179	20	n	n	NOUN
ejpam-6227	179	21	=	=	SYM
ejpam-6227	179	22	1	1	NUM
ejpam-6227	179	23	,	,	PUNCT
ejpam-6227	179	24	2	2	NUM
ejpam-6227	179	25	,	,	PUNCT
ejpam-6227	179	26	3	3	NUM
ejpam-6227	179	27	,	,	PUNCT
ejpam-6227	179	28	...	...	PUNCT
ejpam-6227	179	29	,	,	PUNCT
ejpam-6227	179	30	m	m	PROPN
ejpam-6227	179	31	,	,	PUNCT
ejpam-6227	179	32	then	then	ADV
ejpam-6227	179	33	tiffwa(z̃v	tiffwa(z̃v	NUM
ejpam-6227	179	34	,	,	PUNCT
ejpam-6227	179	35	z̃v	z̃v	PROPN
ejpam-6227	179	36	,	,	PUNCT
ejpam-6227	179	37	z̃v	z̃v	PROPN
ejpam-6227	179	38	,	,	PUNCT
ejpam-6227	179	39	...	...	PUNCT
ejpam-6227	179	40	,	,	PUNCT
ejpam-6227	179	41	z̃v	z̃v	PROPN
ejpam-6227	179	42	)	)	PUNCT
ejpam-6227	180	1	=	=	PUNCT
ejpam-6227	180	2	z̃v	z̃v	PROPN
ejpam-6227	180	3	.	.	PUNCT
ejpam-6227	181	1	a.	a.	PROPN
ejpam-6227	181	2	fahmi	fahmi	PROPN
ejpam-6227	181	3	et	et	PROPN
ejpam-6227	181	4	al	al	PROPN
ejpam-6227	181	5	.	.	PUNCT
ejpam-6227	181	6	/	/	SYM
ejpam-6227	181	7	eur	eur	PROPN
ejpam-6227	181	8	.	.	PUNCT
ejpam-6227	182	1	j.	j.	PROPN
ejpam-6227	182	2	pure	pure	PROPN
ejpam-6227	182	3	appl	appl	PROPN
ejpam-6227	182	4	.	.	PROPN
ejpam-6227	182	5	math	math	PROPN
ejpam-6227	182	6	,	,	PUNCT
ejpam-6227	182	7	18	18	NUM
ejpam-6227	182	8	(	(	PUNCT
ejpam-6227	182	9	3	3	NUM
ejpam-6227	182	10	)	)	PUNCT
ejpam-6227	182	11	(	(	PUNCT
ejpam-6227	182	12	2025	2025	NUM
ejpam-6227	182	13	)	)	PUNCT
ejpam-6227	182	14	,	,	PUNCT
ejpam-6227	182	15	6227	6227	NUM
ejpam-6227	182	16	11	11	NUM
ejpam-6227	182	17	of	of	ADP
ejpam-6227	182	18	37	37	NUM
ejpam-6227	182	19	proof	proof	NOUN
ejpam-6227	182	20	.	.	PUNCT
ejpam-6227	183	1	since	since	SCONJ
ejpam-6227	183	2	z̃v	z̃v	PROPN
ejpam-6227	183	3	=	=	PUNCT
ejpam-6227	183	4	[	[	PUNCT
ejpam-6227	183	5	[	[	X
ejpam-6227	183	6	cj	cj	X
ejpam-6227	183	7	,	,	PUNCT
ejpam-6227	183	8	dj	dj	X
ejpam-6227	183	9	,	,	PUNCT
ejpam-6227	183	10	ej	ej	X
ejpam-6227	183	11	]	]	X
ejpam-6227	183	12	,	,	PUNCT
ejpam-6227	183	13	[	[	X
ejpam-6227	183	14	gj	gj	INTJ
ejpam-6227	183	15	,	,	PUNCT
ejpam-6227	183	16	hj	hj	PROPN
ejpam-6227	183	17	,	,	PUNCT
ejpam-6227	183	18	lj	lj	PROPN
ejpam-6227	183	19	]	]	PUNCT
ejpam-6227	183	20	]	]	PUNCT
ejpam-6227	183	21			NOUN
ejpam-6227	183	22			VERB
ejpam-6227	183	23	1	1	NUM
ejpam-6227	183	24	−	−	NOUN
ejpam-6227	183	25	log	log	NOUN
ejpam-6227	183	26	1	1	NOUN
ejpam-6227	183	27	+	+	PROPN
ejpam-6227	183	28	n∏	n∏	PROPN
ejpam-6227	183	29	j=1	j=1	NOUN
ejpam-6227	183	30	(	(	PUNCT
ejpam-6227	183	31	β	β	X
ejpam-6227	183	32	1−cj	1−cj	NUM
ejpam-6227	183	33	−1)λj	−1)λj	X
ejpam-6227	183	34	(	(	PUNCT
ejpam-6227	183	35	β−1)λj	β−1)λj	X
ejpam-6227	183	36	−1	−1	NOUN
ejpam-6227	183	37			ADJ
ejpam-6227	183	38	β	β	NOUN
ejpam-6227	183	39	,	,	PUNCT
ejpam-6227	183	40	1	1	NUM
ejpam-6227	183	41	−	−	NOUN
ejpam-6227	183	42	log	log	NOUN
ejpam-6227	183	43	1	1	NOUN
ejpam-6227	183	44	+	+	PROPN
ejpam-6227	183	45	n∏	n∏	PROPN
ejpam-6227	183	46	j=1	j=1	NOUN
ejpam-6227	183	47	(	(	PUNCT
ejpam-6227	183	48	β	β	X
ejpam-6227	183	49	1−dj	1−dj	X
ejpam-6227	184	1	−1)λj	−1)λj	PROPN
ejpam-6227	184	2	(	(	PUNCT
ejpam-6227	184	3	β−1)λj	β−1)λj	X
ejpam-6227	184	4	−1	−1	NOUN
ejpam-6227	184	5			ADJ
ejpam-6227	184	6	β	β	NOUN
ejpam-6227	184	7	,	,	PUNCT
ejpam-6227	184	8	1	1	NUM
ejpam-6227	184	9	−	−	NOUN
ejpam-6227	184	10	log	log	NOUN
ejpam-6227	184	11	1	1	NOUN
ejpam-6227	184	12	+	+	PROPN
ejpam-6227	184	13	n∏	n∏	PROPN
ejpam-6227	184	14	j=1	j=1	NOUN
ejpam-6227	184	15	(	(	PUNCT
ejpam-6227	184	16	β	β	X
ejpam-6227	184	17	1−ej	1−ej	NUM
ejpam-6227	184	18	−1)λj	−1)λj	X
ejpam-6227	184	19	(	(	PUNCT
ejpam-6227	184	20	β−1)λj	β−1)λj	X
ejpam-6227	184	21	−1	−1	NOUN
ejpam-6227	184	22			SCONJ
ejpam-6227	184	23	β	β	NOUN
ejpam-6227	184	24			NUM
ejpam-6227	184	25	,	,	PUNCT
ejpam-6227	184	26			NOUN
ejpam-6227	184	27	log	log	VERB
ejpam-6227	184	28	1	1	PROPN
ejpam-6227	184	29	+	+	PROPN
ejpam-6227	184	30	n∏	n∏	PROPN
ejpam-6227	184	31	j=1	j=1	NOUN
ejpam-6227	184	32	(	(	PUNCT
ejpam-6227	184	33	β	β	NOUN
ejpam-6227	184	34	1−gj	1−gj	NOUN
ejpam-6227	185	1	−1)λj	−1)λj	PROPN
ejpam-6227	185	2	(	(	PUNCT
ejpam-6227	185	3	β−1)λj	β−1)λj	X
ejpam-6227	185	4	−1	−1	NOUN
ejpam-6227	185	5			ADJ
ejpam-6227	185	6	β	β	NOUN
ejpam-6227	185	7	,	,	PUNCT
ejpam-6227	185	8	log	log	VERB
ejpam-6227	185	9	1	1	PROPN
ejpam-6227	185	10	+	+	PROPN
ejpam-6227	185	11	n∏	n∏	PROPN
ejpam-6227	185	12	j=1	j=1	NOUN
ejpam-6227	185	13	(	(	PUNCT
ejpam-6227	185	14	β	β	NOUN
ejpam-6227	185	15	1−hj	1−hj	NUM
ejpam-6227	186	1	−1)λj	−1)λj	NOUN
ejpam-6227	186	2	(	(	PUNCT
ejpam-6227	186	3	β−1)λj	β−1)λj	X
ejpam-6227	186	4	−1	−1	NOUN
ejpam-6227	186	5			ADJ
ejpam-6227	186	6	β	β	NOUN
ejpam-6227	186	7	,	,	PUNCT
ejpam-6227	186	8	log	log	VERB
ejpam-6227	186	9	1	1	PROPN
ejpam-6227	186	10	+	+	PROPN
ejpam-6227	186	11	n∏	n∏	PROPN
ejpam-6227	186	12	j=1	j=1	NOUN
ejpam-6227	186	13	(	(	PUNCT
ejpam-6227	186	14	β	β	X
ejpam-6227	186	15	1−lj	1−lj	NUM
ejpam-6227	186	16	−1)λj	−1)λj	PROPN
ejpam-6227	186	17	(	(	PUNCT
ejpam-6227	186	18	β−1)λj	β−1)λj	X
ejpam-6227	186	19	−1	−1	NOUN
ejpam-6227	186	20			X
ejpam-6227	186	21	β	β	X
ejpam-6227	186	22			NUM
ejpam-6227	186	23			NUM
ejpam-6227	186	24	=	=	VERB
ejpam-6227	186	25			NOUN
ejpam-6227	186	26			NOUN
ejpam-6227	186	27	1	1	NUM
ejpam-6227	187	1	−	−	NOUN
ejpam-6227	187	2	log	log	NOUN
ejpam-6227	187	3	1	1	PROPN
ejpam-6227	187	4	+	+	CCONJ
ejpam-6227	187	5	(	(	PUNCT
ejpam-6227	187	6	β	β	X
ejpam-6227	187	7	1−cj	1−cj	NUM
ejpam-6227	187	8	−1	−1	NOUN
ejpam-6227	187	9	)	)	PUNCT
ejpam-6227	188	1	n∑	n∑	PUNCT
ejpam-6227	189	1	j=1	j=1	NOUN
ejpam-6227	189	2	λj	λj	X
ejpam-6227	189	3	(	(	PUNCT
ejpam-6227	189	4	β−1	β−1	NUM
ejpam-6227	189	5	)	)	PUNCT
ejpam-6227	189	6	n∑	n∑	NOUN
ejpam-6227	190	1	j=1	j=1	NOUN
ejpam-6227	191	1	λj	λj	X
ejpam-6227	191	2	−1	−1	NOUN
ejpam-6227	192	1			ADJ
ejpam-6227	192	2	β	β	NOUN
ejpam-6227	192	3	,	,	PUNCT
ejpam-6227	192	4	1	1	NUM
ejpam-6227	192	5	−	−	NOUN
ejpam-6227	192	6	log	log	NOUN
ejpam-6227	192	7	1	1	PROPN
ejpam-6227	192	8	+	+	CCONJ
ejpam-6227	192	9	(	(	PUNCT
ejpam-6227	192	10	β	β	X
ejpam-6227	192	11	1−dj	1−dj	NUM
ejpam-6227	192	12	−1	−1	NOUN
ejpam-6227	192	13	)	)	PUNCT
ejpam-6227	192	14	n∑	n∑	PUNCT
ejpam-6227	193	1	j=1	j=1	NOUN
ejpam-6227	193	2	λj	λj	X
ejpam-6227	193	3	(	(	PUNCT
ejpam-6227	193	4	β−1	β−1	NUM
ejpam-6227	193	5	)	)	PUNCT
ejpam-6227	193	6	n∑	n∑	NOUN
ejpam-6227	194	1	j=1	j=1	NOUN
ejpam-6227	195	1	λj	λj	X
ejpam-6227	195	2	−1	−1	NOUN
ejpam-6227	196	1			ADJ
ejpam-6227	196	2	β	β	NOUN
ejpam-6227	196	3	,	,	PUNCT
ejpam-6227	196	4	1	1	NUM
ejpam-6227	196	5	−	−	NOUN
ejpam-6227	196	6	log	log	NOUN
ejpam-6227	196	7	1	1	PROPN
ejpam-6227	196	8	+	+	CCONJ
ejpam-6227	196	9	(	(	PUNCT
ejpam-6227	196	10	β	β	X
ejpam-6227	196	11	1−ej	1−ej	NUM
ejpam-6227	196	12	−1	−1	NOUN
ejpam-6227	196	13	)	)	PUNCT
ejpam-6227	197	1	n∑	n∑	PUNCT
ejpam-6227	198	1	j=1	j=1	NOUN
ejpam-6227	198	2	λj	λj	X
ejpam-6227	198	3	(	(	PUNCT
ejpam-6227	198	4	β−1	β−1	NUM
ejpam-6227	198	5	)	)	PUNCT
ejpam-6227	198	6	n∑	n∑	NOUN
ejpam-6227	199	1	j=1	j=1	NOUN
ejpam-6227	200	1	λj	λj	X
ejpam-6227	200	2	−1	−1	NOUN
ejpam-6227	200	3			SCONJ
ejpam-6227	201	1	β	β	NOUN
ejpam-6227	201	2			NUM
ejpam-6227	201	3	,	,	PUNCT
ejpam-6227	201	4			PROPN
ejpam-6227	201	5	log	log	VERB
ejpam-6227	201	6	1	1	PROPN
ejpam-6227	202	1	+	+	CCONJ
ejpam-6227	202	2	(	(	PUNCT
ejpam-6227	202	3	β	β	NOUN
ejpam-6227	202	4	1−gj	1−gj	NOUN
ejpam-6227	202	5	−1	−1	NOUN
ejpam-6227	202	6	)	)	PUNCT
ejpam-6227	203	1	n∑	n∑	PUNCT
ejpam-6227	204	1	j=1	j=1	NOUN
ejpam-6227	204	2	λj	λj	X
ejpam-6227	204	3	(	(	PUNCT
ejpam-6227	204	4	β−1	β−1	NUM
ejpam-6227	204	5	)	)	PUNCT
ejpam-6227	204	6	n∑	n∑	NOUN
ejpam-6227	205	1	j=1	j=1	NOUN
ejpam-6227	206	1	λj	λj	X
ejpam-6227	206	2	−1	−1	NOUN
ejpam-6227	206	3			ADJ
ejpam-6227	206	4	β	β	NOUN
ejpam-6227	206	5	,	,	PUNCT
ejpam-6227	206	6	log	log	VERB
ejpam-6227	206	7	1	1	PROPN
ejpam-6227	207	1	+	+	CCONJ
ejpam-6227	207	2	(	(	PUNCT
ejpam-6227	207	3	β	β	NOUN
ejpam-6227	207	4	1−hj	1−hj	NUM
ejpam-6227	207	5	−1	−1	NOUN
ejpam-6227	207	6	)	)	PUNCT
ejpam-6227	208	1	n∑	n∑	PUNCT
ejpam-6227	209	1	j=1	j=1	NOUN
ejpam-6227	209	2	λj	λj	X
ejpam-6227	209	3	(	(	PUNCT
ejpam-6227	209	4	β−1	β−1	NUM
ejpam-6227	209	5	)	)	PUNCT
ejpam-6227	209	6	n∑	n∑	NOUN
ejpam-6227	210	1	j=1	j=1	NOUN
ejpam-6227	211	1	λj	λj	X
ejpam-6227	211	2	−1	−1	NOUN
ejpam-6227	211	3			ADJ
ejpam-6227	211	4	β	β	NOUN
ejpam-6227	211	5	,	,	PUNCT
ejpam-6227	211	6	log	log	VERB
ejpam-6227	211	7	1	1	PROPN
ejpam-6227	211	8	+	+	CCONJ
ejpam-6227	211	9	(	(	PUNCT
ejpam-6227	211	10	β	β	X
ejpam-6227	211	11	1−lj	1−lj	NUM
ejpam-6227	211	12	−1	−1	NOUN
ejpam-6227	211	13	)	)	PUNCT
ejpam-6227	211	14	n∑	n∑	PUNCT
ejpam-6227	212	1	j=1	j=1	NOUN
ejpam-6227	212	2	λj	λj	X
ejpam-6227	212	3	(	(	PUNCT
ejpam-6227	212	4	β−1	β−1	NUM
ejpam-6227	212	5	)	)	PUNCT
ejpam-6227	212	6	n∑	n∑	NOUN
ejpam-6227	213	1	j=1	j=1	NOUN
ejpam-6227	214	1	λj	λj	X
ejpam-6227	214	2	−1	−1	NOUN
ejpam-6227	214	3			X
ejpam-6227	214	4	β	β	ADP
ejpam-6227	214	5			NUM
ejpam-6227	214	6			ADJ
ejpam-6227	214	7	=	=	X
ejpam-6227	214	8			NOUN
ejpam-6227	214	9	1	1	NOUN
ejpam-6227	214	10	−	−	PROPN
ejpam-6227	214	11	log	log	NOUN
ejpam-6227	214	12	(	(	PUNCT
ejpam-6227	214	13	1	1	NUM
ejpam-6227	214	14	+	+	CCONJ
ejpam-6227	214	15	(	(	PUNCT
ejpam-6227	214	16	β	β	X
ejpam-6227	214	17	1−cj	1−cj	NUM
ejpam-6227	214	18	−1)1	−1)1	NUM
ejpam-6227	214	19	(	(	PUNCT
ejpam-6227	214	20	β−1)1−1	β−1)1−1	INTJ
ejpam-6227	214	21	)	)	PUNCT
ejpam-6227	214	22	β	β	NOUN
ejpam-6227	214	23	,	,	PUNCT
ejpam-6227	214	24	1	1	NUM
ejpam-6227	214	25	−	−	NOUN
ejpam-6227	214	26	log	log	NOUN
ejpam-6227	214	27	(	(	PUNCT
ejpam-6227	214	28	1	1	NUM
ejpam-6227	214	29	+	+	CCONJ
ejpam-6227	214	30	(	(	PUNCT
ejpam-6227	214	31	β	β	X
ejpam-6227	214	32	1−dj	1−dj	NUM
ejpam-6227	214	33	−1)1	−1)1	PRON
ejpam-6227	214	34	(	(	PUNCT
ejpam-6227	214	35	β−1)1−1	β−1)1−1	INTJ
ejpam-6227	214	36	)	)	PUNCT
ejpam-6227	214	37	β	β	NOUN
ejpam-6227	214	38	,	,	PUNCT
ejpam-6227	214	39	1	1	NUM
ejpam-6227	214	40	−	−	NOUN
ejpam-6227	214	41	log	log	NOUN
ejpam-6227	214	42	(	(	PUNCT
ejpam-6227	214	43	1	1	NUM
ejpam-6227	214	44	+	+	CCONJ
ejpam-6227	214	45	(	(	PUNCT
ejpam-6227	214	46	β	β	X
ejpam-6227	214	47	1−ej	1−ej	NUM
ejpam-6227	214	48	−1)1	−1)1	PRON
ejpam-6227	214	49	(	(	PUNCT
ejpam-6227	214	50	β−1)1−1	β−1)1−1	INTJ
ejpam-6227	214	51	)	)	PUNCT
ejpam-6227	214	52	β	β	NOUN
ejpam-6227	214	53			NOUN
ejpam-6227	214	54	,	,	PUNCT
ejpam-6227	214	55	log	log	X
ejpam-6227	214	56	(	(	PUNCT
ejpam-6227	214	57	1	1	NUM
ejpam-6227	214	58	+	+	CCONJ
ejpam-6227	214	59	(	(	PUNCT
ejpam-6227	214	60	β	β	NUM
ejpam-6227	214	61	1−gj	1−gj	NOUN
ejpam-6227	214	62	−1)1	−1)1	PRON
ejpam-6227	214	63	(	(	PUNCT
ejpam-6227	214	64	β−1)1−1	β−1)1−1	INTJ
ejpam-6227	214	65	)	)	PUNCT
ejpam-6227	214	66	β	β	NOUN
ejpam-6227	214	67	,	,	PUNCT
ejpam-6227	214	68	log	log	PROPN
ejpam-6227	214	69	(	(	PUNCT
ejpam-6227	214	70	1	1	NUM
ejpam-6227	214	71	+	+	CCONJ
ejpam-6227	214	72	(	(	PUNCT
ejpam-6227	214	73	β	β	NOUN
ejpam-6227	214	74	1−hj	1−hj	NUM
ejpam-6227	214	75	−1)1	−1)1	PRON
ejpam-6227	214	76	(	(	PUNCT
ejpam-6227	214	77	β−1)1−1	β−1)1−1	INTJ
ejpam-6227	214	78	)	)	PUNCT
ejpam-6227	214	79	β	β	NOUN
ejpam-6227	214	80	,	,	PUNCT
ejpam-6227	214	81	log	log	PROPN
ejpam-6227	214	82	(	(	PUNCT
ejpam-6227	214	83	1	1	NUM
ejpam-6227	214	84	+	+	CCONJ
ejpam-6227	214	85	(	(	PUNCT
ejpam-6227	214	86	β	β	X
ejpam-6227	214	87	1−lj	1−lj	NUM
ejpam-6227	214	88	−1)1	−1)1	PRON
ejpam-6227	214	89	(	(	PUNCT
ejpam-6227	214	90	β−1)1−1	β−1)1−1	INTJ
ejpam-6227	214	91	)	)	PUNCT
ejpam-6227	214	92	β	β	NOUN
ejpam-6227	214	93			NOUN
ejpam-6227	214	94			NUM
ejpam-6227	214	95	=	=	SYM
ejpam-6227	214	96			NOUN
ejpam-6227	214	97	[	[	PUNCT
ejpam-6227	214	98	1	1	NUM
ejpam-6227	214	99	−	−	PROPN
ejpam-6227	214	100	log(1+(β1−cj	log(1+(β1−cj	NOUN
ejpam-6227	214	101	−1)1	−1)1	NUM
ejpam-6227	214	102	)	)	PUNCT
ejpam-6227	214	103	β	β	NOUN
ejpam-6227	214	104	,	,	PUNCT
ejpam-6227	214	105	1	1	NUM
ejpam-6227	214	106	−	−	PROPN
ejpam-6227	214	107	log(1+(β1−dj	log(1+(β1−dj	PROPN
ejpam-6227	214	108	−1)1	−1)1	NUM
ejpam-6227	214	109	)	)	PUNCT
ejpam-6227	214	110	β	β	NOUN
ejpam-6227	214	111	,	,	PUNCT
ejpam-6227	214	112	1	1	NUM
ejpam-6227	214	113	−	−	NOUN
ejpam-6227	214	114	log(1+(β1−ej	log(1+(β1−ej	NOUN
ejpam-6227	214	115	−1)1	−1)1	NUM
ejpam-6227	214	116	)	)	PUNCT
ejpam-6227	214	117	β	β	X
ejpam-6227	214	118	]	]	PUNCT
ejpam-6227	214	119	,	,	PUNCT
ejpam-6227	214	120	[	[	PUNCT
ejpam-6227	214	121	log(1+(β1−gj	log(1+(β1−gj	NOUN
ejpam-6227	214	122	−1)1	−1)1	X
ejpam-6227	214	123	)	)	PUNCT
ejpam-6227	214	124	β	β	NOUN
ejpam-6227	214	125	,	,	PUNCT
ejpam-6227	214	126	log(1+(β1−hj	log(1+(β1−hj	NOUN
ejpam-6227	214	127	−1)1	−1)1	NUM
ejpam-6227	214	128	)	)	PUNCT
ejpam-6227	214	129	β	β	X
ejpam-6227	214	130	,	,	PUNCT
ejpam-6227	214	131	log(1+(β1−lj	log(1+(β1−lj	X
ejpam-6227	214	132	−1)1	−1)1	NOUN
ejpam-6227	214	133	)	)	PUNCT
ejpam-6227	214	134	β	β	X
ejpam-6227	214	135	]	]	PUNCT
ejpam-6227	214	136			ADJ
ejpam-6227	214	137	a.	a.	NOUN
ejpam-6227	214	138	fahmi	fahmi	PROPN
ejpam-6227	214	139	et	et	PROPN
ejpam-6227	214	140	al	al	PROPN
ejpam-6227	214	141	.	.	PUNCT
ejpam-6227	214	142	/	/	SYM
ejpam-6227	214	143	eur	eur	PROPN
ejpam-6227	214	144	.	.	PUNCT
ejpam-6227	215	1	j.	j.	PROPN
ejpam-6227	215	2	pure	pure	PROPN
ejpam-6227	215	3	appl	appl	PROPN
ejpam-6227	215	4	.	.	PROPN
ejpam-6227	215	5	math	math	PROPN
ejpam-6227	215	6	,	,	PUNCT
ejpam-6227	215	7	18	18	NUM
ejpam-6227	215	8	(	(	PUNCT
ejpam-6227	215	9	3	3	NUM
ejpam-6227	215	10	)	)	PUNCT
ejpam-6227	215	11	(	(	PUNCT
ejpam-6227	215	12	2025	2025	NUM
ejpam-6227	215	13	)	)	PUNCT
ejpam-6227	215	14	,	,	PUNCT
ejpam-6227	215	15	6227	6227	NUM
ejpam-6227	215	16	12	12	NUM
ejpam-6227	215	17	of	of	ADP
ejpam-6227	215	18	37	37	NUM
ejpam-6227	215	19	z̃v	z̃v	NUM
ejpam-6227	215	20	=	=	PUNCT
ejpam-6227	216	1	[	[	PUNCT
ejpam-6227	216	2	[	[	X
ejpam-6227	216	3	cj	cj	X
ejpam-6227	216	4	,	,	PUNCT
ejpam-6227	216	5	dj	dj	X
ejpam-6227	216	6	,	,	PUNCT
ejpam-6227	216	7	ej	ej	X
ejpam-6227	216	8	]	]	X
ejpam-6227	216	9	,	,	PUNCT
ejpam-6227	216	10	[	[	X
ejpam-6227	216	11	gj	gj	INTJ
ejpam-6227	216	12	,	,	PUNCT
ejpam-6227	216	13	hj	hj	PROPN
ejpam-6227	216	14	,	,	PUNCT
ejpam-6227	216	15	lj	lj	PROPN
ejpam-6227	216	16	]	]	PUNCT
ejpam-6227	216	17	]	]	PUNCT
ejpam-6227	216	18	theorem	theorem	VERB
ejpam-6227	216	19	3	3	NUM
ejpam-6227	216	20	.	.	PUNCT
ejpam-6227	217	1	(	(	PUNCT
ejpam-6227	217	2	boundedness):if	boundedness):if	VERB
ejpam-6227	217	3	y	y	NOUN
ejpam-6227	218	1	=	=	PUNCT
ejpam-6227	219	1	[	[	PUNCT
ejpam-6227	219	2	[	[	X
ejpam-6227	219	3	cj	cj	X
ejpam-6227	219	4	,	,	PUNCT
ejpam-6227	219	5	dj	dj	X
ejpam-6227	219	6	,	,	PUNCT
ejpam-6227	219	7	ej	ej	X
ejpam-6227	219	8	]	]	X
ejpam-6227	219	9	,	,	PUNCT
ejpam-6227	219	10	[	[	X
ejpam-6227	219	11	gj	gj	INTJ
ejpam-6227	219	12	,	,	PUNCT
ejpam-6227	219	13	hj	hj	PROPN
ejpam-6227	219	14	,	,	PUNCT
ejpam-6227	219	15	lj	lj	PROPN
ejpam-6227	219	16	]	]	PUNCT
ejpam-6227	219	17	]	]	PUNCT
ejpam-6227	219	18	be	be	AUX
ejpam-6227	219	19	a	a	DET
ejpam-6227	219	20	collection	collection	NOUN
ejpam-6227	219	21	of	of	ADP
ejpam-6227	219	22	tifss	tifss	NOUN
ejpam-6227	219	23	.	.	PUNCT
ejpam-6227	220	1	if	if	SCONJ
ejpam-6227	220	2	y	y	PROPN
ejpam-6227	220	3	−	−	PROPN
ejpam-6227	220	4	=	=	SYM
ejpam-6227	220	5	min(y1	min(y1	PROPN
ejpam-6227	220	6	,	,	PUNCT
ejpam-6227	220	7	y2	y2	PROPN
ejpam-6227	220	8	,	,	PUNCT
ejpam-6227	220	9	...	...	PUNCT
ejpam-6227	220	10	,	,	PUNCT
ejpam-6227	220	11	ym	ym	PROPN
ejpam-6227	220	12	)	)	PUNCT
ejpam-6227	220	13	,	,	PUNCT
ejpam-6227	220	14	y	y	PROPN
ejpam-6227	220	15	+	+	CCONJ
ejpam-6227	220	16	=	=	SYM
ejpam-6227	220	17	max(y1	max(y1	PROPN
ejpam-6227	220	18	,	,	PUNCT
ejpam-6227	220	19	y2	y2	PROPN
ejpam-6227	220	20	,	,	PUNCT
ejpam-6227	220	21	...	...	PUNCT
ejpam-6227	220	22	,	,	PUNCT
ejpam-6227	220	23	ym	ym	PROPN
ejpam-6227	220	24	)	)	PUNCT
ejpam-6227	220	25	,	,	PUNCT
ejpam-6227	220	26	then	then	ADV
ejpam-6227	220	27	y	y	PROPN
ejpam-6227	220	28	−	−	PROPN
ejpam-6227	220	29	≤	≤	NUM
ejpam-6227	220	30	tiffwa(y1	tiffwa(y1	NOUN
ejpam-6227	220	31	,	,	PUNCT
ejpam-6227	220	32	y2	y2	PROPN
ejpam-6227	220	33	,	,	PUNCT
ejpam-6227	220	34	...	...	PUNCT
ejpam-6227	220	35	,	,	PUNCT
ejpam-6227	220	36	ym	ym	PROPN
ejpam-6227	220	37	)	)	PUNCT
ejpam-6227	220	38	≤	≤	NOUN
ejpam-6227	221	1	y	y	PROPN
ejpam-6227	221	2	+	+	PROPN
ejpam-6227	221	3	.	.	PUNCT
ejpam-6227	221	4	proof	proof	NOUN
ejpam-6227	221	5	.	.	PUNCT
ejpam-6227	222	1	y	y	PROPN
ejpam-6227	222	2	−	−	PROPN
ejpam-6227	222	3	=	=	SYM
ejpam-6227	222	4	min(y1	min(y1	PROPN
ejpam-6227	222	5	,	,	PUNCT
ejpam-6227	222	6	y2	y2	PROPN
ejpam-6227	222	7	,	,	PUNCT
ejpam-6227	222	8	...	...	PUNCT
ejpam-6227	222	9	,	,	PUNCT
ejpam-6227	222	10	ym	ym	PROPN
ejpam-6227	222	11	)	)	PUNCT
ejpam-6227	223	1	=	=	PUNCT
ejpam-6227	224	1	[	[	PUNCT
ejpam-6227	224	2	[	[	X
ejpam-6227	224	3	cj	cj	X
ejpam-6227	224	4	,	,	PUNCT
ejpam-6227	224	5	dj	dj	X
ejpam-6227	224	6	,	,	PUNCT
ejpam-6227	224	7	ej	ej	X
ejpam-6227	224	8	]	]	X
ejpam-6227	224	9	,	,	PUNCT
ejpam-6227	224	10	[	[	X
ejpam-6227	224	11	gj	gj	INTJ
ejpam-6227	224	12	,	,	PUNCT
ejpam-6227	224	13	hj	hj	PROPN
ejpam-6227	224	14	,	,	PUNCT
ejpam-6227	224	15	lj	lj	PROPN
ejpam-6227	224	16	]	]	PUNCT
ejpam-6227	224	17	]	]	PUNCT
ejpam-6227	224	18	and	and	CCONJ
ejpam-6227	224	19	y	y	PROPN
ejpam-6227	224	20	+	+	CCONJ
ejpam-6227	224	21	=	=	SYM
ejpam-6227	224	22	max(y1	max(y1	PROPN
ejpam-6227	224	23	,	,	PUNCT
ejpam-6227	224	24	y2	y2	PROPN
ejpam-6227	224	25	,	,	PUNCT
ejpam-6227	224	26	...	...	PUNCT
ejpam-6227	224	27	,	,	PUNCT
ejpam-6227	224	28	ym	ym	PROPN
ejpam-6227	224	29	)	)	PUNCT
ejpam-6227	225	1	=	=	PUNCT
ejpam-6227	226	1	[	[	PUNCT
ejpam-6227	226	2	[	[	X
ejpam-6227	226	3	cj	cj	X
ejpam-6227	226	4	,	,	PUNCT
ejpam-6227	226	5	dj	dj	X
ejpam-6227	226	6	,	,	PUNCT
ejpam-6227	226	7	ej	ej	X
ejpam-6227	226	8	]	]	X
ejpam-6227	226	9	,	,	PUNCT
ejpam-6227	226	10	[	[	X
ejpam-6227	226	11	gj	gj	INTJ
ejpam-6227	226	12	,	,	PUNCT
ejpam-6227	226	13	hj	hj	PROPN
ejpam-6227	226	14	,	,	PUNCT
ejpam-6227	226	15	lj	lj	PROPN
ejpam-6227	226	16	]	]	PUNCT
ejpam-6227	226	17	]	]	PUNCT
ejpam-6227	226	18	since	since	SCONJ
ejpam-6227	226	19	minj(cj	minj(cj	PROPN
ejpam-6227	226	20	)	)	PUNCT
ejpam-6227	226	21	≤maxj(cj);minj(dj	≤maxj(cj);minj(dj	PROPN
ejpam-6227	226	22	)	)	PUNCT
ejpam-6227	226	23	≤maxj(dj);minj(ej	≤maxj(dj);minj(ej	PROPN
ejpam-6227	226	24	)	)	PUNCT
ejpam-6227	226	25	≤maxj(ej	≤maxj(ej	NUM
ejpam-6227	226	26	)	)	PUNCT
ejpam-6227	226	27	and	and	CCONJ
ejpam-6227	226	28	minj(gj	minj(gj	VERB
ejpam-6227	226	29	)	)	PUNCT
ejpam-6227	226	30	≤maxj(gj);minj(hj	≤maxj(gj);minj(hj	PROPN
ejpam-6227	226	31	)	)	PUNCT
ejpam-6227	226	32	≤maxj(hj);minj(lj	≤maxj(hj);minj(lj	PROPN
ejpam-6227	226	33	)	)	PUNCT
ejpam-6227	226	34	≤maxj(lj	≤maxj(lj	NUM
ejpam-6227	226	35	)	)	PUNCT
ejpam-6227	226	36	which	which	PRON
ejpam-6227	226	37	implies	imply	VERB
ejpam-6227	226	38	that	that	SCONJ
ejpam-6227	226	39	1	1	NUM
ejpam-6227	226	40	−	−	NOUN
ejpam-6227	226	41	log	log	NOUN
ejpam-6227	226	42	1	1	NOUN
ejpam-6227	226	43	+	+	PROPN
ejpam-6227	226	44	n∏	n∏	PROPN
ejpam-6227	226	45	j=1	j=1	NOUN
ejpam-6227	226	46	(	(	PUNCT
ejpam-6227	226	47	β	β	X
ejpam-6227	226	48	1−cj	1−cj	NUM
ejpam-6227	227	1	−1)λj	−1)λj	X
ejpam-6227	227	2	(	(	PUNCT
ejpam-6227	227	3	β−1)λj	β−1)λj	X
ejpam-6227	227	4	−1	−1	NOUN
ejpam-6227	227	5			SCONJ
ejpam-6227	227	6	β	β	X
ejpam-6227	227	7	≥	≥	NOUN
ejpam-6227	227	8	1	1	NUM
ejpam-6227	227	9	−	−	NOUN
ejpam-6227	227	10	log	log	NOUN
ejpam-6227	227	11	1	1	NOUN
ejpam-6227	227	12	+	+	PROPN
ejpam-6227	227	13	n∏	n∏	PROPN
ejpam-6227	227	14	j=1	j=1	NOUN
ejpam-6227	227	15	(	(	PUNCT
ejpam-6227	227	16	β	β	NOUN
ejpam-6227	227	17	1−(min	1−(min	NUM
ejpam-6227	227	18	cj	cj	NOUN
ejpam-6227	227	19	)	)	PUNCT
ejpam-6227	227	20	−1)λj	−1)λj	PROPN
ejpam-6227	227	21	(	(	PUNCT
ejpam-6227	227	22	β−1)λj	β−1)λj	X
ejpam-6227	227	23	−1	−1	NOUN
ejpam-6227	227	24			ADJ
ejpam-6227	227	25	β	β	NOUN
ejpam-6227	227	26	;	;	PUNCT
ejpam-6227	227	27	1	1	NUM
ejpam-6227	227	28	−	−	NOUN
ejpam-6227	227	29	log	log	NOUN
ejpam-6227	227	30	1	1	NOUN
ejpam-6227	227	31	+	+	PROPN
ejpam-6227	227	32	n∏	n∏	PROPN
ejpam-6227	227	33	j=1	j=1	NOUN
ejpam-6227	227	34	(	(	PUNCT
ejpam-6227	227	35	β	β	X
ejpam-6227	227	36	1−dj	1−dj	X
ejpam-6227	227	37	−1)λj	−1)λj	PROPN
ejpam-6227	227	38	(	(	PUNCT
ejpam-6227	227	39	β−1)λj	β−1)λj	X
ejpam-6227	227	40	−1	−1	NOUN
ejpam-6227	227	41			SCONJ
ejpam-6227	227	42	β	β	X
ejpam-6227	227	43	≥	≥	NOUN
ejpam-6227	227	44	1	1	NUM
ejpam-6227	227	45	−	−	NOUN
ejpam-6227	227	46	log	log	NOUN
ejpam-6227	227	47	1	1	NOUN
ejpam-6227	227	48	+	+	PROPN
ejpam-6227	227	49	n∏	n∏	PROPN
ejpam-6227	227	50	j=1	j=1	NOUN
ejpam-6227	227	51	(	(	PUNCT
ejpam-6227	227	52	β	β	X
ejpam-6227	227	53	1−(min	1−(min	NUM
ejpam-6227	227	54	dj	dj	NOUN
ejpam-6227	227	55	)	)	PUNCT
ejpam-6227	227	56	−1)λj	−1)λj	PROPN
ejpam-6227	227	57	(	(	PUNCT
ejpam-6227	227	58	β−1)λj	β−1)λj	X
ejpam-6227	227	59	−1	−1	NOUN
ejpam-6227	227	60			ADJ
ejpam-6227	227	61	β	β	NOUN
ejpam-6227	227	62	;	;	PUNCT
ejpam-6227	227	63	1	1	NUM
ejpam-6227	227	64	−	−	NOUN
ejpam-6227	227	65	log	log	NOUN
ejpam-6227	227	66	1	1	NOUN
ejpam-6227	227	67	+	+	PROPN
ejpam-6227	227	68	n∏	n∏	PROPN
ejpam-6227	227	69	j=1	j=1	NOUN
ejpam-6227	227	70	(	(	PUNCT
ejpam-6227	227	71	β	β	X
ejpam-6227	227	72	1−ej	1−ej	NUM
ejpam-6227	227	73	−1)λj	−1)λj	X
ejpam-6227	227	74	(	(	PUNCT
ejpam-6227	227	75	β−1)λj	β−1)λj	X
ejpam-6227	227	76	−1	−1	NOUN
ejpam-6227	227	77			SCONJ
ejpam-6227	227	78	β	β	X
ejpam-6227	227	79	≥	≥	NOUN
ejpam-6227	227	80	1	1	NUM
ejpam-6227	227	81	−	−	NOUN
ejpam-6227	227	82	log	log	NOUN
ejpam-6227	227	83	1	1	NOUN
ejpam-6227	227	84	+	+	PROPN
ejpam-6227	227	85	n∏	n∏	PROPN
ejpam-6227	227	86	j=1	j=1	NOUN
ejpam-6227	227	87	(	(	PUNCT
ejpam-6227	227	88	β	β	X
ejpam-6227	227	89	1−(min	1−(min	NUM
ejpam-6227	227	90	ej	ej	X
ejpam-6227	227	91	)	)	PUNCT
ejpam-6227	227	92	−1)λj	−1)λj	PROPN
ejpam-6227	227	93	(	(	PUNCT
ejpam-6227	227	94	β−1)λj	β−1)λj	X
ejpam-6227	227	95	−1	−1	NOUN
ejpam-6227	227	96			NOUN
ejpam-6227	227	97	β	β	NOUN
ejpam-6227	227	98	and	and	CCONJ
ejpam-6227	227	99	log	log	VERB
ejpam-6227	227	100	1	1	PROPN
ejpam-6227	227	101	+	+	PROPN
ejpam-6227	227	102	n∏	n∏	PROPN
ejpam-6227	227	103	j=1	j=1	NOUN
ejpam-6227	227	104	(	(	PUNCT
ejpam-6227	227	105	β	β	NOUN
ejpam-6227	227	106	1−gj	1−gj	NOUN
ejpam-6227	228	1	−1)λj	−1)λj	PROPN
ejpam-6227	228	2	(	(	PUNCT
ejpam-6227	228	3	β−1)λj	β−1)λj	X
ejpam-6227	228	4	−1	−1	NOUN
ejpam-6227	228	5			SCONJ
ejpam-6227	228	6	β	β	X
ejpam-6227	228	7	≥	≥	NOUN
ejpam-6227	228	8	log	log	VERB
ejpam-6227	228	9	1	1	PROPN
ejpam-6227	228	10	+	+	PROPN
ejpam-6227	228	11	n∏	n∏	PROPN
ejpam-6227	228	12	j=1	j=1	NOUN
ejpam-6227	228	13	(	(	PUNCT
ejpam-6227	228	14	β	β	NOUN
ejpam-6227	228	15	1−(max	1−(max	NUM
ejpam-6227	228	16	gj	gj	NOUN
ejpam-6227	228	17	)	)	PUNCT
ejpam-6227	228	18	−1)λj	−1)λj	PROPN
ejpam-6227	228	19	(	(	PUNCT
ejpam-6227	228	20	β−1)λj	β−1)λj	X
ejpam-6227	228	21	−1	−1	NOUN
ejpam-6227	228	22			PROPN
ejpam-6227	228	23	β	β	X
ejpam-6227	228	24	;	;	PUNCT
ejpam-6227	228	25	log	log	VERB
ejpam-6227	228	26	1	1	PROPN
ejpam-6227	228	27	+	+	PROPN
ejpam-6227	228	28	n∏	n∏	PROPN
ejpam-6227	228	29	j=1	j=1	NOUN
ejpam-6227	228	30	(	(	PUNCT
ejpam-6227	228	31	β	β	NOUN
ejpam-6227	228	32	1−hj	1−hj	NUM
ejpam-6227	229	1	−1)λj	−1)λj	NOUN
ejpam-6227	229	2	(	(	PUNCT
ejpam-6227	229	3	β−1)λj	β−1)λj	X
ejpam-6227	229	4	−1	−1	NOUN
ejpam-6227	229	5			SCONJ
ejpam-6227	229	6	β	β	X
ejpam-6227	229	7	≥	≥	NOUN
ejpam-6227	229	8	log	log	VERB
ejpam-6227	229	9	1	1	PROPN
ejpam-6227	229	10	+	+	PROPN
ejpam-6227	229	11	n∏	n∏	PROPN
ejpam-6227	229	12	j=1	j=1	NOUN
ejpam-6227	229	13	(	(	PUNCT
ejpam-6227	229	14	β	β	PROPN
ejpam-6227	229	15	1−(max	1−(max	NUM
ejpam-6227	229	16	hj	hj	PROPN
ejpam-6227	229	17	)	)	PUNCT
ejpam-6227	230	1	−1)λj	−1)λj	PROPN
ejpam-6227	230	2	(	(	PUNCT
ejpam-6227	230	3	β−1)λj	β−1)λj	X
ejpam-6227	230	4	−1	−1	NOUN
ejpam-6227	230	5			PROPN
ejpam-6227	230	6	β	β	X
ejpam-6227	230	7	;	;	PUNCT
ejpam-6227	230	8	log	log	VERB
ejpam-6227	230	9	1	1	PROPN
ejpam-6227	230	10	+	+	PROPN
ejpam-6227	230	11	n∏	n∏	PROPN
ejpam-6227	230	12	j=1	j=1	NOUN
ejpam-6227	230	13	(	(	PUNCT
ejpam-6227	230	14	β	β	X
ejpam-6227	230	15	1−lj	1−lj	NUM
ejpam-6227	230	16	−1)λj	−1)λj	PROPN
ejpam-6227	230	17	(	(	PUNCT
ejpam-6227	230	18	β−1)λj	β−1)λj	X
ejpam-6227	230	19	−1	−1	NOUN
ejpam-6227	230	20			SCONJ
ejpam-6227	230	21	β	β	X
ejpam-6227	230	22	≥	≥	NOUN
ejpam-6227	230	23	log	log	VERB
ejpam-6227	230	24	1	1	PROPN
ejpam-6227	230	25	+	+	PROPN
ejpam-6227	230	26	n∏	n∏	PROPN
ejpam-6227	230	27	j=1	j=1	NOUN
ejpam-6227	230	28	(	(	PUNCT
ejpam-6227	230	29	β	β	NOUN
ejpam-6227	230	30	1−(max	1−(max	NUM
ejpam-6227	230	31	lj	lj	X
ejpam-6227	230	32	)	)	PUNCT
ejpam-6227	231	1	−1)λj	−1)λj	PROPN
ejpam-6227	231	2	(	(	PUNCT
ejpam-6227	231	3	β−1)λj	β−1)λj	X
ejpam-6227	231	4	−1	−1	NOUN
ejpam-6227	231	5			NOUN
ejpam-6227	231	6	β	β	X
ejpam-6227	231	7	tiffwa(y1	tiffwa(y1	X
ejpam-6227	231	8	,	,	PUNCT
ejpam-6227	231	9	y2	y2	INTJ
ejpam-6227	231	10	,	,	PUNCT
ejpam-6227	231	11	...	...	PUNCT
ejpam-6227	231	12	,	,	PUNCT
ejpam-6227	231	13	ym	ym	PROPN
ejpam-6227	231	14	)	)	PUNCT
ejpam-6227	231	15	=	=	PUNCT
ejpam-6227	232	1	[	[	PUNCT
ejpam-6227	232	2	[	[	X
ejpam-6227	232	3	cj	cj	X
ejpam-6227	232	4	,	,	PUNCT
ejpam-6227	232	5	dj	dj	X
ejpam-6227	232	6	,	,	PUNCT
ejpam-6227	232	7	ej	ej	X
ejpam-6227	232	8	]	]	X
ejpam-6227	232	9	,	,	PUNCT
ejpam-6227	232	10	[	[	X
ejpam-6227	232	11	gj	gj	INTJ
ejpam-6227	232	12	,	,	PUNCT
ejpam-6227	232	13	hj	hj	PROPN
ejpam-6227	232	14	,	,	PUNCT
ejpam-6227	232	15	lj	lj	PROPN
ejpam-6227	232	16	]	]	PUNCT
ejpam-6227	233	1	]	]	PUNCT
ejpam-6227	233	2	a.	a.	PROPN
ejpam-6227	233	3	fahmi	fahmi	PROPN
ejpam-6227	233	4	et	et	PROPN
ejpam-6227	233	5	al	al	PROPN
ejpam-6227	233	6	.	.	PUNCT
ejpam-6227	233	7	/	/	SYM
ejpam-6227	233	8	eur	eur	PROPN
ejpam-6227	233	9	.	.	PUNCT
ejpam-6227	234	1	j.	j.	PROPN
ejpam-6227	234	2	pure	pure	PROPN
ejpam-6227	234	3	appl	appl	PROPN
ejpam-6227	234	4	.	.	PROPN
ejpam-6227	234	5	math	math	PROPN
ejpam-6227	234	6	,	,	PUNCT
ejpam-6227	234	7	18	18	NUM
ejpam-6227	234	8	(	(	PUNCT
ejpam-6227	234	9	3	3	NUM
ejpam-6227	234	10	)	)	PUNCT
ejpam-6227	234	11	(	(	PUNCT
ejpam-6227	234	12	2025	2025	NUM
ejpam-6227	234	13	)	)	PUNCT
ejpam-6227	234	14	,	,	PUNCT
ejpam-6227	234	15	6227	6227	NUM
ejpam-6227	234	16	13	13	NUM
ejpam-6227	234	17	of	of	ADP
ejpam-6227	234	18	37	37	NUM
ejpam-6227	234	19	s(y	s(y	PROPN
ejpam-6227	234	20	)	)	PUNCT
ejpam-6227	235	1	=	=	PUNCT
ejpam-6227	236	1	[	[	X
ejpam-6227	236	2	[	[	X
ejpam-6227	236	3	cj+dj+ej	cj+dj+ej	X
ejpam-6227	236	4	]	]	X
ejpam-6227	236	5	−[gj+hj+lj	−[gj+hj+lj	X
ejpam-6227	236	6	]	]	X
ejpam-6227	236	7	]	]	PUNCT
ejpam-6227	236	8	6	6	NUM
ejpam-6227	236	9	≤	≤	NOUN
ejpam-6227	237	1	[	[	X
ejpam-6227	237	2	[	[	X
ejpam-6227	237	3	maxj	maxj	ADJ
ejpam-6227	237	4	cj+maxj	cj+maxj	NOUN
ejpam-6227	237	5	dj+maxj	dj+maxj	NOUN
ejpam-6227	237	6	ej	ej	X
ejpam-6227	237	7	]	]	X
ejpam-6227	237	8	−[minj	−[minj	NOUN
ejpam-6227	237	9	gj+minj	gj+minj	PROPN
ejpam-6227	237	10	hj+minj	hj+minj	NOUN
ejpam-6227	237	11	lj	lj	ADV
ejpam-6227	237	12	]	]	X
ejpam-6227	237	13	]	]	X
ejpam-6227	237	14	6	6	NUM
ejpam-6227	237	15	=	=	SYM
ejpam-6227	237	16	s(y	s(y	PROPN
ejpam-6227	237	17	−	−	NOUN
ejpam-6227	237	18	)	)	PUNCT
ejpam-6227	237	19	s(y	s(y	PROPN
ejpam-6227	237	20	)	)	PUNCT
ejpam-6227	237	21	≤	≤	NUM
ejpam-6227	238	1	s(y	s(y	PROPN
ejpam-6227	238	2	−	−	PROPN
ejpam-6227	238	3	)	)	PUNCT
ejpam-6227	238	4	and	and	CCONJ
ejpam-6227	238	5	s(y	s(y	PROPN
ejpam-6227	238	6	)	)	PUNCT
ejpam-6227	239	1	=	=	PUNCT
ejpam-6227	240	1	[	[	X
ejpam-6227	240	2	[	[	X
ejpam-6227	240	3	cj+dj+ej	cj+dj+ej	X
ejpam-6227	240	4	]	]	X
ejpam-6227	240	5	−[gj+hj+lj	−[gj+hj+lj	X
ejpam-6227	240	6	]	]	X
ejpam-6227	240	7	]	]	X
ejpam-6227	240	8	6	6	NUM
ejpam-6227	240	9	≥	≥	NOUN
ejpam-6227	240	10	[	[	X
ejpam-6227	240	11	[	[	X
ejpam-6227	240	12	maxj	maxj	ADJ
ejpam-6227	240	13	cj+maxj	cj+maxj	NOUN
ejpam-6227	240	14	dj+maxj	dj+maxj	NOUN
ejpam-6227	240	15	ej	ej	X
ejpam-6227	240	16	]	]	X
ejpam-6227	240	17	−[minj	−[minj	NOUN
ejpam-6227	240	18	gj+minj	gj+minj	PROPN
ejpam-6227	240	19	hj+minj	hj+minj	NOUN
ejpam-6227	240	20	lj	lj	ADV
ejpam-6227	240	21	]	]	X
ejpam-6227	240	22	]	]	X
ejpam-6227	240	23	6	6	NUM
ejpam-6227	240	24	=	=	SYM
ejpam-6227	240	25	s(y	s(y	PROPN
ejpam-6227	240	26	+	+	NOUN
ejpam-6227	240	27	)	)	PUNCT
ejpam-6227	240	28	s(y	s(y	PROPN
ejpam-6227	240	29	)	)	PUNCT
ejpam-6227	240	30	≥	≥	NOUN
ejpam-6227	240	31	s(y	s(y	PROPN
ejpam-6227	240	32	+	+	PROPN
ejpam-6227	240	33	)	)	PUNCT
ejpam-6227	240	34	which	which	PRON
ejpam-6227	240	35	implies	imply	VERB
ejpam-6227	240	36	that	that	DET
ejpam-6227	240	37	tiffwa(y1	tiffwa(y1	NOUN
ejpam-6227	240	38	,	,	PUNCT
ejpam-6227	240	39	y2	y2	PROPN
ejpam-6227	240	40	,	,	PUNCT
ejpam-6227	240	41	...	...	PUNCT
ejpam-6227	240	42	,	,	PUNCT
ejpam-6227	240	43	ym	ym	PROPN
ejpam-6227	240	44	)	)	PUNCT
ejpam-6227	241	1	=	=	SYM
ejpam-6227	241	2	y	y	PROPN
ejpam-6227	241	3	−	−	PROPN
ejpam-6227	241	4	and	and	CCONJ
ejpam-6227	241	5	tiffwa(y1	tiffwa(y1	NOUN
ejpam-6227	241	6	,	,	PUNCT
ejpam-6227	241	7	y2	y2	INTJ
ejpam-6227	241	8	,	,	PUNCT
ejpam-6227	241	9	...	...	PUNCT
ejpam-6227	241	10	,	,	PUNCT
ejpam-6227	241	11	ym	ym	PROPN
ejpam-6227	241	12	)	)	PUNCT
ejpam-6227	242	1	=	=	SYM
ejpam-6227	242	2	y	y	PROPN
ejpam-6227	242	3	+	+	NOUN
ejpam-6227	242	4	4.2	4.2	NUM
ejpam-6227	242	5	.	.	PUNCT
ejpam-6227	242	6	tiffowa	tiffowa	ADJ
ejpam-6227	242	7	operator	operator	NOUN
ejpam-6227	242	8	definition	definition	NOUN
ejpam-6227	242	9	9	9	NUM
ejpam-6227	242	10	.	.	PUNCT
ejpam-6227	243	1	let	let	VERB
ejpam-6227	243	2	kj	kj	NOUN
ejpam-6227	244	1	=	=	PUNCT
ejpam-6227	245	1	[	[	PUNCT
ejpam-6227	245	2	[	[	X
ejpam-6227	245	3	cj	cj	X
ejpam-6227	245	4	,	,	PUNCT
ejpam-6227	245	5	dj	dj	X
ejpam-6227	245	6	,	,	PUNCT
ejpam-6227	245	7	ej	ej	X
ejpam-6227	245	8	]	]	X
ejpam-6227	245	9	,	,	PUNCT
ejpam-6227	245	10	[	[	X
ejpam-6227	245	11	gj	gj	INTJ
ejpam-6227	245	12	,	,	PUNCT
ejpam-6227	245	13	hj	hj	PROPN
ejpam-6227	245	14	,	,	PUNCT
ejpam-6227	245	15	lj	lj	PROPN
ejpam-6227	245	16	]	]	PUNCT
ejpam-6227	245	17	]	]	PUNCT
ejpam-6227	245	18	be	be	AUX
ejpam-6227	245	19	the	the	DET
ejpam-6227	245	20	gathering	gathering	NOUN
ejpam-6227	245	21	of	of	ADP
ejpam-6227	245	22	tifns	tifns	NOUN
ejpam-6227	245	23	and	and	CCONJ
ejpam-6227	245	24	u	u	NOUN
ejpam-6227	245	25	=	=	PUNCT
ejpam-6227	245	26	(	(	PUNCT
ejpam-6227	245	27	u1	u1	PROPN
ejpam-6227	245	28	,	,	PUNCT
ejpam-6227	245	29	u2	u2	NOUN
ejpam-6227	245	30	,	,	PUNCT
ejpam-6227	245	31	...	...	PUNCT
ejpam-6227	245	32	,	,	PUNCT
ejpam-6227	245	33	um)t	um)t	PROPN
ejpam-6227	245	34	is	be	AUX
ejpam-6227	245	35	the	the	DET
ejpam-6227	245	36	weight	weight	NOUN
ejpam-6227	245	37	vector	vector	NOUN
ejpam-6227	245	38	with	with	ADP
ejpam-6227	245	39	uj	uj	PROPN
ejpam-6227	245	40	∈	∈	PROPN
ejpam-6227	246	1	[	[	X
ejpam-6227	246	2	0	0	NUM
ejpam-6227	246	3	,	,	PUNCT
ejpam-6227	246	4	1	1	NUM
ejpam-6227	246	5	]	]	PUNCT
ejpam-6227	246	6	and	and	CCONJ
ejpam-6227	246	7	m∑	m∑	ADV
ejpam-6227	246	8	j=1	j=1	PROPN
ejpam-6227	246	9	uj	uj	PROPN
ejpam-6227	246	10	=	=	NOUN
ejpam-6227	246	11	1	1	X
ejpam-6227	246	12	.	.	PUNCT
ejpam-6227	246	13	then	then	ADV
ejpam-6227	246	14	tiffowa	tiffowa	ADJ
ejpam-6227	246	15	(	(	PUNCT
ejpam-6227	246	16	k1	k1	NOUN
ejpam-6227	246	17	,	,	PUNCT
ejpam-6227	246	18	k2	k2	NOUN
ejpam-6227	246	19	,	,	PUNCT
ejpam-6227	246	20	...	...	PUNCT
ejpam-6227	246	21	,	,	PUNCT
ejpam-6227	246	22	km	km	NOUN
ejpam-6227	246	23	)	)	PUNCT
ejpam-6227	246	24	=	=	PUNCT
ejpam-6227	247	1	m⊕	m⊕	VERB
ejpam-6227	247	2	j=1	j=1	NOUN
ejpam-6227	247	3	ujkj	ujkj	ADJ
ejpam-6227	247	4	is	be	AUX
ejpam-6227	247	5	said	say	VERB
ejpam-6227	247	6	tiffowa	tiffowa	ADJ
ejpam-6227	247	7	operator	operator	NOUN
ejpam-6227	247	8	.	.	PUNCT
ejpam-6227	248	1	theorem	theorem	VERB
ejpam-6227	248	2	4	4	NUM
ejpam-6227	248	3	.	.	PUNCT
ejpam-6227	249	1	the	the	DET
ejpam-6227	249	2	collection	collection	NOUN
ejpam-6227	249	3	of	of	ADP
ejpam-6227	249	4	tifns	tifns	NOUN
ejpam-6227	249	5	are	be	AUX
ejpam-6227	249	6	aj	aj	PROPN
ejpam-6227	249	7	=	=	PUNCT
ejpam-6227	250	1	[	[	PUNCT
ejpam-6227	250	2	[	[	X
ejpam-6227	250	3	cj	cj	X
ejpam-6227	250	4	,	,	PUNCT
ejpam-6227	250	5	dj	dj	X
ejpam-6227	250	6	,	,	PUNCT
ejpam-6227	250	7	ej	ej	X
ejpam-6227	250	8	]	]	X
ejpam-6227	250	9	,	,	PUNCT
ejpam-6227	250	10	[	[	X
ejpam-6227	250	11	gj	gj	INTJ
ejpam-6227	250	12	,	,	PUNCT
ejpam-6227	250	13	hj	hj	PROPN
ejpam-6227	250	14	,	,	PUNCT
ejpam-6227	250	15	lj	lj	PROPN
ejpam-6227	250	16	]	]	PUNCT
ejpam-6227	250	17	]	]	PUNCT
ejpam-6227	250	18	and	and	CCONJ
ejpam-6227	250	19	λ	λ	X
ejpam-6227	250	20	=	=	SYM
ejpam-6227	250	21	(	(	PUNCT
ejpam-6227	250	22	λ1	λ1	ADJ
ejpam-6227	250	23	,	,	PUNCT
ejpam-6227	250	24	λ2	λ2	NOUN
ejpam-6227	250	25	,	,	PUNCT
ejpam-6227	250	26	...	...	PUNCT
ejpam-6227	250	27	,	,	PUNCT
ejpam-6227	250	28	λn)t	λn)t	PRON
ejpam-6227	250	29	is	be	AUX
ejpam-6227	250	30	the	the	DET
ejpam-6227	250	31	weight	weight	NOUN
ejpam-6227	250	32	vector	vector	NOUN
ejpam-6227	250	33	with	with	ADP
ejpam-6227	250	34	λj	λj	PROPN
ejpam-6227	250	35	∈	∈	PROPN
ejpam-6227	251	1	[	[	X
ejpam-6227	251	2	0	0	NUM
ejpam-6227	251	3	,	,	PUNCT
ejpam-6227	251	4	1	1	NUM
ejpam-6227	251	5	]	]	PUNCT
ejpam-6227	251	6	and	and	CCONJ
ejpam-6227	251	7	n∑	n∑	PROPN
ejpam-6227	251	8	j=1	j=1	NOUN
ejpam-6227	251	9	λj	λj	X
ejpam-6227	251	10	=	=	SYM
ejpam-6227	251	11	1	1	X
ejpam-6227	251	12	.	.	PUNCT
ejpam-6227	252	1	then	then	ADV
ejpam-6227	252	2	it	it	PRON
ejpam-6227	252	3	is	be	AUX
ejpam-6227	252	4	said	say	VERB
ejpam-6227	252	5	tiffowa	tiffowa	ADJ
ejpam-6227	252	6	operator	operator	NOUN
ejpam-6227	252	7	and	and	CCONJ
ejpam-6227	252	8	tiffowa(a1	tiffowa(a1	NOUN
ejpam-6227	252	9	,	,	PUNCT
ejpam-6227	252	10	a2	a2	PROPN
ejpam-6227	252	11	,	,	PUNCT
ejpam-6227	252	12	...	...	PUNCT
ejpam-6227	252	13	,	,	PUNCT
ejpam-6227	252	14	an	an	X
ejpam-6227	252	15	)	)	PUNCT
ejpam-6227	252	16	=	=	SYM
ejpam-6227	252	17	a.	a.	NOUN
ejpam-6227	252	18	fahmi	fahmi	PROPN
ejpam-6227	252	19	et	et	PROPN
ejpam-6227	252	20	al	al	PROPN
ejpam-6227	252	21	.	.	PUNCT
ejpam-6227	252	22	/	/	SYM
ejpam-6227	252	23	eur	eur	PROPN
ejpam-6227	252	24	.	.	PUNCT
ejpam-6227	253	1	j.	j.	PROPN
ejpam-6227	253	2	pure	pure	PROPN
ejpam-6227	253	3	appl	appl	PROPN
ejpam-6227	253	4	.	.	PROPN
ejpam-6227	253	5	math	math	PROPN
ejpam-6227	253	6	,	,	PUNCT
ejpam-6227	253	7	18	18	NUM
ejpam-6227	253	8	(	(	PUNCT
ejpam-6227	253	9	3	3	NUM
ejpam-6227	253	10	)	)	PUNCT
ejpam-6227	253	11	(	(	PUNCT
ejpam-6227	253	12	2025	2025	NUM
ejpam-6227	253	13	)	)	PUNCT
ejpam-6227	253	14	,	,	PUNCT
ejpam-6227	253	15	6227	6227	NUM
ejpam-6227	253	16	14	14	NUM
ejpam-6227	253	17	of	of	ADP
ejpam-6227	253	18	37	37	NUM
ejpam-6227	253	19			ADJ
ejpam-6227	253	20	1	1	NUM
ejpam-6227	253	21	−	−	NOUN
ejpam-6227	253	22	log	log	NOUN
ejpam-6227	253	23	1	1	NOUN
ejpam-6227	253	24	+	+	PROPN
ejpam-6227	253	25	n∏	n∏	PROPN
ejpam-6227	253	26	j=1	j=1	NOUN
ejpam-6227	253	27	(	(	PUNCT
ejpam-6227	253	28	β	β	X
ejpam-6227	253	29	1−cj	1−cj	NUM
ejpam-6227	253	30	−1)λj	−1)λj	X
ejpam-6227	253	31	(	(	PUNCT
ejpam-6227	253	32	β−1)λj	β−1)λj	X
ejpam-6227	253	33	−1	−1	NOUN
ejpam-6227	253	34			ADJ
ejpam-6227	253	35	β	β	NOUN
ejpam-6227	253	36	,	,	PUNCT
ejpam-6227	253	37	1	1	NUM
ejpam-6227	253	38	−	−	NOUN
ejpam-6227	253	39	log	log	NOUN
ejpam-6227	253	40	1	1	NOUN
ejpam-6227	253	41	+	+	PROPN
ejpam-6227	253	42	n∏	n∏	PROPN
ejpam-6227	253	43	j=1	j=1	NOUN
ejpam-6227	253	44	(	(	PUNCT
ejpam-6227	253	45	β	β	X
ejpam-6227	253	46	1−dj	1−dj	X
ejpam-6227	254	1	−1)λj	−1)λj	PROPN
ejpam-6227	254	2	(	(	PUNCT
ejpam-6227	254	3	β−1)λj	β−1)λj	X
ejpam-6227	254	4	−1	−1	NOUN
ejpam-6227	254	5			ADJ
ejpam-6227	254	6	β	β	NOUN
ejpam-6227	254	7	,	,	PUNCT
ejpam-6227	254	8	1	1	NUM
ejpam-6227	254	9	−	−	NOUN
ejpam-6227	254	10	log	log	NOUN
ejpam-6227	254	11	1	1	NOUN
ejpam-6227	254	12	+	+	PROPN
ejpam-6227	254	13	n∏	n∏	PROPN
ejpam-6227	254	14	j=1	j=1	NOUN
ejpam-6227	254	15	(	(	PUNCT
ejpam-6227	254	16	β	β	X
ejpam-6227	254	17	1−ej	1−ej	NUM
ejpam-6227	254	18	−1)λj	−1)λj	X
ejpam-6227	254	19	(	(	PUNCT
ejpam-6227	254	20	β−1)λj	β−1)λj	X
ejpam-6227	254	21	−1	−1	NOUN
ejpam-6227	254	22			SCONJ
ejpam-6227	254	23	β	β	X
ejpam-6227	254	24			NUM
ejpam-6227	254	25	,	,	PUNCT
ejpam-6227	254	26			ADJ
ejpam-6227	254	27	log	log	NOUN
ejpam-6227	254	28	1	1	PROPN
ejpam-6227	254	29	+	+	PROPN
ejpam-6227	254	30	n∏	n∏	PROPN
ejpam-6227	254	31	j=1	j=1	NOUN
ejpam-6227	254	32	(	(	PUNCT
ejpam-6227	254	33	β	β	NOUN
ejpam-6227	254	34	1−gj	1−gj	NOUN
ejpam-6227	255	1	−1)λj	−1)λj	PROPN
ejpam-6227	255	2	(	(	PUNCT
ejpam-6227	255	3	β−1)λj	β−1)λj	X
ejpam-6227	255	4	−1	−1	NOUN
ejpam-6227	255	5			ADJ
ejpam-6227	255	6	β	β	NOUN
ejpam-6227	255	7	,	,	PUNCT
ejpam-6227	255	8	log	log	VERB
ejpam-6227	255	9	1	1	PROPN
ejpam-6227	255	10	+	+	PROPN
ejpam-6227	255	11	n∏	n∏	PROPN
ejpam-6227	255	12	j=1	j=1	NOUN
ejpam-6227	255	13	(	(	PUNCT
ejpam-6227	255	14	β	β	NOUN
ejpam-6227	255	15	1−hj	1−hj	NUM
ejpam-6227	256	1	−1)λj	−1)λj	NOUN
ejpam-6227	256	2	(	(	PUNCT
ejpam-6227	256	3	β−1)λj	β−1)λj	X
ejpam-6227	256	4	−1	−1	NOUN
ejpam-6227	256	5			ADJ
ejpam-6227	256	6	β	β	NOUN
ejpam-6227	256	7	,	,	PUNCT
ejpam-6227	256	8	log	log	VERB
ejpam-6227	256	9	1	1	PROPN
ejpam-6227	256	10	+	+	PROPN
ejpam-6227	256	11	n∏	n∏	PROPN
ejpam-6227	256	12	j=1	j=1	NOUN
ejpam-6227	256	13	(	(	PUNCT
ejpam-6227	256	14	β	β	X
ejpam-6227	256	15	1−lj	1−lj	NUM
ejpam-6227	256	16	−1)λj	−1)λj	PROPN
ejpam-6227	256	17	(	(	PUNCT
ejpam-6227	256	18	β−1)λj	β−1)λj	X
ejpam-6227	256	19	−1	−1	NOUN
ejpam-6227	256	20			SCONJ
ejpam-6227	256	21	β	β	X
ejpam-6227	256	22			NOUN
ejpam-6227	256	23			NOUN
ejpam-6227	256	24	.	.	PUNCT
ejpam-6227	257	1	proof	proof	NOUN
ejpam-6227	257	2	:	:	PUNCT
ejpam-6227	257	3	this	this	DET
ejpam-6227	257	4	proof	proof	NOUN
ejpam-6227	257	5	is	be	AUX
ejpam-6227	257	6	the	the	DET
ejpam-6227	257	7	same	same	ADJ
ejpam-6227	257	8	as	as	ADP
ejpam-6227	257	9	in	in	ADP
ejpam-6227	257	10	theorem	theorem	ADJ
ejpam-6227	257	11	1	1	NUM
ejpam-6227	257	12	theorem	theorem	NOUN
ejpam-6227	257	13	5	5	NUM
ejpam-6227	257	14	.	.	PUNCT
ejpam-6227	258	1	(	(	PUNCT
ejpam-6227	258	2	idempotency):if	idempotency):if	PROPN
ejpam-6227	258	3	z̃v	z̃v	NUM
ejpam-6227	258	4	=	=	PUNCT
ejpam-6227	259	1	[	[	PUNCT
ejpam-6227	259	2	[	[	X
ejpam-6227	259	3	cj	cj	X
ejpam-6227	259	4	,	,	PUNCT
ejpam-6227	259	5	dj	dj	X
ejpam-6227	259	6	,	,	PUNCT
ejpam-6227	259	7	ej	ej	X
ejpam-6227	259	8	]	]	X
ejpam-6227	259	9	,	,	PUNCT
ejpam-6227	259	10	[	[	X
ejpam-6227	259	11	gj	gj	INTJ
ejpam-6227	259	12	,	,	PUNCT
ejpam-6227	259	13	hj	hj	PROPN
ejpam-6227	259	14	,	,	PUNCT
ejpam-6227	259	15	lj	lj	PROPN
ejpam-6227	259	16	]	]	PUNCT
ejpam-6227	259	17	]	]	PUNCT
ejpam-6227	259	18	for	for	ADP
ejpam-6227	259	19	all	all	DET
ejpam-6227	259	20	n	n	NOUN
ejpam-6227	259	21	=	=	SYM
ejpam-6227	259	22	1	1	NUM
ejpam-6227	259	23	,	,	PUNCT
ejpam-6227	259	24	2	2	NUM
ejpam-6227	259	25	,	,	PUNCT
ejpam-6227	259	26	3	3	NUM
ejpam-6227	259	27	,	,	PUNCT
ejpam-6227	259	28	...	...	PUNCT
ejpam-6227	259	29	,	,	PUNCT
ejpam-6227	259	30	m	m	PROPN
ejpam-6227	259	31	,	,	PUNCT
ejpam-6227	259	32	then	then	ADV
ejpam-6227	259	33	tiffowa(z̃v	tiffowa(z̃v	PRON
ejpam-6227	259	34	,	,	PUNCT
ejpam-6227	259	35	z̃v	z̃v	PROPN
ejpam-6227	259	36	,	,	PUNCT
ejpam-6227	259	37	z̃v	z̃v	PROPN
ejpam-6227	259	38	,	,	PUNCT
ejpam-6227	259	39	...	...	PUNCT
ejpam-6227	259	40	,	,	PUNCT
ejpam-6227	259	41	z̃v	z̃v	PROPN
ejpam-6227	259	42	)	)	PUNCT
ejpam-6227	260	1	=	=	SYM
ejpam-6227	260	2	z̃v	z̃v	PROPN
ejpam-6227	260	3	.	.	PUNCT
ejpam-6227	261	1	proof	proof	NOUN
ejpam-6227	261	2	:	:	PUNCT
ejpam-6227	261	3	this	this	DET
ejpam-6227	261	4	proof	proof	NOUN
ejpam-6227	261	5	is	be	AUX
ejpam-6227	261	6	the	the	DET
ejpam-6227	261	7	same	same	ADJ
ejpam-6227	261	8	as	as	ADP
ejpam-6227	261	9	in	in	ADP
ejpam-6227	261	10	theorem	theorem	ADJ
ejpam-6227	261	11	2	2	NUM
ejpam-6227	261	12	theorem	theorem	NOUN
ejpam-6227	261	13	6	6	NUM
ejpam-6227	261	14	.	.	PUNCT
ejpam-6227	262	1	(	(	PUNCT
ejpam-6227	262	2	boundedness):if	boundedness):if	VERB
ejpam-6227	262	3	y	y	NOUN
ejpam-6227	262	4	−	−	PROPN
ejpam-6227	263	1	=	=	PUNCT
ejpam-6227	263	2	min(z̃v	min(z̃v	PROPN
ejpam-6227	263	3	1	1	NUM
ejpam-6227	263	4	,	,	PUNCT
ejpam-6227	263	5	z̃v	z̃v	PROPN
ejpam-6227	263	6	2	2	NUM
ejpam-6227	263	7	,	,	PUNCT
ejpam-6227	263	8	...	...	PUNCT
ejpam-6227	263	9	,	,	PUNCT
ejpam-6227	263	10	z̃v	z̃v	PROPN
ejpam-6227	263	11	m	m	PROPN
ejpam-6227	263	12	)	)	PUNCT
ejpam-6227	263	13	,	,	PUNCT
ejpam-6227	263	14	y	y	PROPN
ejpam-6227	264	1	+	+	NUM
ejpam-6227	264	2	=	=	PUNCT
ejpam-6227	264	3	max(z̃v	max(z̃v	PROPN
ejpam-6227	264	4	1	1	NUM
ejpam-6227	264	5	,	,	PUNCT
ejpam-6227	264	6	z̃v	z̃v	PROPN
ejpam-6227	264	7	2	2	NUM
ejpam-6227	264	8	,	,	PUNCT
ejpam-6227	264	9	...	...	PUNCT
ejpam-6227	264	10	,	,	PUNCT
ejpam-6227	264	11	z̃v	z̃v	PROPN
ejpam-6227	264	12	m	m	PROPN
ejpam-6227	264	13	)	)	PUNCT
ejpam-6227	264	14	,	,	PUNCT
ejpam-6227	264	15	then	then	ADV
ejpam-6227	264	16	y	y	PROPN
ejpam-6227	264	17	−	−	PROPN
ejpam-6227	264	18	≤	≤	PROPN
ejpam-6227	264	19	tiffowa(z̃v	tiffowa(z̃v	NUM
ejpam-6227	264	20	1	1	NUM
ejpam-6227	264	21	,	,	PUNCT
ejpam-6227	264	22	z̃v	z̃v	PROPN
ejpam-6227	264	23	2	2	NUM
ejpam-6227	264	24	,	,	PUNCT
ejpam-6227	264	25	...	...	PUNCT
ejpam-6227	264	26	,	,	PUNCT
ejpam-6227	264	27	z̃v	z̃v	PROPN
ejpam-6227	264	28	m	m	NOUN
ejpam-6227	264	29	)	)	PUNCT
ejpam-6227	264	30	≤	≤	PUNCT
ejpam-6227	264	31	y	y	PROPN
ejpam-6227	264	32	+	+	PROPN
ejpam-6227	264	33	.	.	PUNCT
ejpam-6227	265	1	proof	proof	NOUN
ejpam-6227	265	2	:	:	PUNCT
ejpam-6227	265	3	this	this	DET
ejpam-6227	265	4	proof	proof	NOUN
ejpam-6227	265	5	is	be	AUX
ejpam-6227	265	6	the	the	DET
ejpam-6227	265	7	same	same	ADJ
ejpam-6227	265	8	as	as	ADP
ejpam-6227	265	9	in	in	ADP
ejpam-6227	265	10	theorem	theorem	NOUN
ejpam-6227	265	11	3	3	NUM
ejpam-6227	265	12	.	.	PUNCT
ejpam-6227	265	13	a.	a.	PROPN
ejpam-6227	265	14	fahmi	fahmi	PROPN
ejpam-6227	265	15	et	et	PROPN
ejpam-6227	265	16	al	al	PROPN
ejpam-6227	265	17	.	.	PUNCT
ejpam-6227	265	18	/	/	SYM
ejpam-6227	265	19	eur	eur	PROPN
ejpam-6227	265	20	.	.	PUNCT
ejpam-6227	266	1	j.	j.	PROPN
ejpam-6227	266	2	pure	pure	PROPN
ejpam-6227	266	3	appl	appl	PROPN
ejpam-6227	266	4	.	.	PROPN
ejpam-6227	266	5	math	math	PROPN
ejpam-6227	266	6	,	,	PUNCT
ejpam-6227	266	7	18	18	NUM
ejpam-6227	266	8	(	(	PUNCT
ejpam-6227	266	9	3	3	NUM
ejpam-6227	266	10	)	)	PUNCT
ejpam-6227	266	11	(	(	PUNCT
ejpam-6227	266	12	2025	2025	NUM
ejpam-6227	266	13	)	)	PUNCT
ejpam-6227	266	14	,	,	PUNCT
ejpam-6227	266	15	6227	6227	NUM
ejpam-6227	266	16	15	15	NUM
ejpam-6227	266	17	of	of	ADP
ejpam-6227	266	18	37	37	NUM
ejpam-6227	266	19	4.3	4.3	NUM
ejpam-6227	266	20	.	.	PUNCT
ejpam-6227	267	1	tiffhwa	tiffhwa	NOUN
ejpam-6227	267	2	operator	operator	NOUN
ejpam-6227	267	3	definition	definition	NOUN
ejpam-6227	267	4	10	10	NUM
ejpam-6227	267	5	.	.	PUNCT
ejpam-6227	268	1	let	let	VERB
ejpam-6227	268	2	kj	kj	NOUN
ejpam-6227	269	1	=	=	PUNCT
ejpam-6227	270	1	[	[	PUNCT
ejpam-6227	270	2	[	[	X
ejpam-6227	270	3	cj	cj	X
ejpam-6227	270	4	,	,	PUNCT
ejpam-6227	270	5	dj	dj	X
ejpam-6227	270	6	,	,	PUNCT
ejpam-6227	270	7	ej	ej	X
ejpam-6227	270	8	]	]	X
ejpam-6227	270	9	,	,	PUNCT
ejpam-6227	270	10	[	[	X
ejpam-6227	270	11	gj	gj	INTJ
ejpam-6227	270	12	,	,	PUNCT
ejpam-6227	270	13	hj	hj	PROPN
ejpam-6227	270	14	,	,	PUNCT
ejpam-6227	270	15	lj	lj	PROPN
ejpam-6227	270	16	]	]	PUNCT
ejpam-6227	270	17	]	]	PUNCT
ejpam-6227	270	18	be	be	AUX
ejpam-6227	270	19	the	the	DET
ejpam-6227	270	20	gathering	gathering	NOUN
ejpam-6227	270	21	of	of	ADP
ejpam-6227	270	22	tifns	tifns	NOUN
ejpam-6227	270	23	and	and	CCONJ
ejpam-6227	270	24	u	u	NOUN
ejpam-6227	270	25	=	=	PUNCT
ejpam-6227	270	26	(	(	PUNCT
ejpam-6227	270	27	u1	u1	PROPN
ejpam-6227	270	28	,	,	PUNCT
ejpam-6227	270	29	u2	u2	NOUN
ejpam-6227	270	30	,	,	PUNCT
ejpam-6227	270	31	...	...	PUNCT
ejpam-6227	270	32	,	,	PUNCT
ejpam-6227	270	33	um)t	um)t	PROPN
ejpam-6227	270	34	is	be	AUX
ejpam-6227	270	35	the	the	DET
ejpam-6227	270	36	weight	weight	NOUN
ejpam-6227	270	37	vector	vector	NOUN
ejpam-6227	270	38	with	with	ADP
ejpam-6227	270	39	uj	uj	PROPN
ejpam-6227	270	40	∈	∈	PROPN
ejpam-6227	271	1	[	[	X
ejpam-6227	271	2	0	0	NUM
ejpam-6227	271	3	,	,	PUNCT
ejpam-6227	271	4	1	1	NUM
ejpam-6227	271	5	]	]	PUNCT
ejpam-6227	271	6	and	and	CCONJ
ejpam-6227	271	7	m∑	m∑	ADV
ejpam-6227	271	8	j=1	j=1	PROPN
ejpam-6227	271	9	uj	uj	PROPN
ejpam-6227	271	10	=	=	NOUN
ejpam-6227	271	11	1	1	PROPN
ejpam-6227	271	12	.	.	PUNCT
ejpam-6227	271	13	then	then	ADV
ejpam-6227	271	14	tiffhwa	tiffhwa	VERB
ejpam-6227	271	15	(	(	PUNCT
ejpam-6227	271	16	k1	k1	NOUN
ejpam-6227	271	17	,	,	PUNCT
ejpam-6227	271	18	k2	k2	NOUN
ejpam-6227	271	19	,	,	PUNCT
ejpam-6227	271	20	...	...	PUNCT
ejpam-6227	271	21	,	,	PUNCT
ejpam-6227	271	22	km	km	NOUN
ejpam-6227	271	23	)	)	PUNCT
ejpam-6227	271	24	=	=	PUNCT
ejpam-6227	272	1	m⊕	m⊕	VERB
ejpam-6227	272	2	j=1	j=1	NOUN
ejpam-6227	272	3	ujkj	ujkj	ADJ
ejpam-6227	272	4	is	be	AUX
ejpam-6227	272	5	said	say	VERB
ejpam-6227	272	6	tiffhwa	tiffhwa	NOUN
ejpam-6227	272	7	operator	operator	NOUN
ejpam-6227	272	8	.	.	PUNCT
ejpam-6227	273	1	theorem	theorem	VERB
ejpam-6227	273	2	7	7	NUM
ejpam-6227	273	3	.	.	PUNCT
ejpam-6227	274	1	the	the	DET
ejpam-6227	274	2	collection	collection	NOUN
ejpam-6227	274	3	of	of	ADP
ejpam-6227	274	4	tifns	tifns	NOUN
ejpam-6227	274	5	are	be	AUX
ejpam-6227	274	6	aj	aj	PROPN
ejpam-6227	274	7	=	=	PUNCT
ejpam-6227	275	1	[	[	PUNCT
ejpam-6227	275	2	[	[	X
ejpam-6227	275	3	cj	cj	X
ejpam-6227	275	4	,	,	PUNCT
ejpam-6227	275	5	dj	dj	X
ejpam-6227	275	6	,	,	PUNCT
ejpam-6227	275	7	ej	ej	X
ejpam-6227	275	8	]	]	X
ejpam-6227	275	9	,	,	PUNCT
ejpam-6227	275	10	[	[	X
ejpam-6227	275	11	gj	gj	INTJ
ejpam-6227	275	12	,	,	PUNCT
ejpam-6227	275	13	hj	hj	PROPN
ejpam-6227	275	14	,	,	PUNCT
ejpam-6227	275	15	lj	lj	PROPN
ejpam-6227	275	16	]	]	PUNCT
ejpam-6227	275	17	]	]	PUNCT
ejpam-6227	275	18	and	and	CCONJ
ejpam-6227	275	19	λ	λ	X
ejpam-6227	275	20	=	=	SYM
ejpam-6227	275	21	(	(	PUNCT
ejpam-6227	275	22	λ1	λ1	ADJ
ejpam-6227	275	23	,	,	PUNCT
ejpam-6227	275	24	λ2	λ2	NOUN
ejpam-6227	275	25	,	,	PUNCT
ejpam-6227	275	26	...	...	PUNCT
ejpam-6227	275	27	,	,	PUNCT
ejpam-6227	275	28	λn)t	λn)t	PRON
ejpam-6227	275	29	is	be	AUX
ejpam-6227	275	30	the	the	DET
ejpam-6227	275	31	weight	weight	NOUN
ejpam-6227	275	32	vector	vector	NOUN
ejpam-6227	275	33	with	with	ADP
ejpam-6227	275	34	λj	λj	PROPN
ejpam-6227	275	35	∈	∈	PROPN
ejpam-6227	276	1	[	[	X
ejpam-6227	276	2	0	0	NUM
ejpam-6227	276	3	,	,	PUNCT
ejpam-6227	276	4	1	1	NUM
ejpam-6227	276	5	]	]	PUNCT
ejpam-6227	276	6	and	and	CCONJ
ejpam-6227	276	7	n∑	n∑	PROPN
ejpam-6227	276	8	j=1	j=1	NOUN
ejpam-6227	276	9	λj	λj	X
ejpam-6227	276	10	=	=	SYM
ejpam-6227	276	11	1	1	X
ejpam-6227	276	12	.	.	PUNCT
ejpam-6227	277	1	then	then	ADV
ejpam-6227	277	2	it	it	PRON
ejpam-6227	277	3	is	be	AUX
ejpam-6227	277	4	said	say	VERB
ejpam-6227	277	5	tiffhwa	tiffhwa	NOUN
ejpam-6227	277	6	operator	operator	NOUN
ejpam-6227	277	7	and	and	CCONJ
ejpam-6227	277	8	tiffhwa(a1	tiffhwa(a1	NOUN
ejpam-6227	277	9	,	,	PUNCT
ejpam-6227	277	10	a2	a2	PROPN
ejpam-6227	277	11	,	,	PUNCT
ejpam-6227	277	12	...	...	PUNCT
ejpam-6227	277	13	,	,	PUNCT
ejpam-6227	277	14	an	an	X
ejpam-6227	277	15	)	)	PUNCT
ejpam-6227	277	16	=	=	NOUN
ejpam-6227	277	17			NOUN
ejpam-6227	277	18			ADJ
ejpam-6227	277	19	1	1	NUM
ejpam-6227	277	20	−	−	NOUN
ejpam-6227	277	21	log	log	NOUN
ejpam-6227	277	22	1	1	NOUN
ejpam-6227	277	23	+	+	PROPN
ejpam-6227	277	24	n∏	n∏	PROPN
ejpam-6227	277	25	j=1	j=1	NOUN
ejpam-6227	277	26	(	(	PUNCT
ejpam-6227	277	27	β	β	X
ejpam-6227	277	28	1−cj	1−cj	NUM
ejpam-6227	277	29	−1)λj	−1)λj	X
ejpam-6227	277	30	(	(	PUNCT
ejpam-6227	277	31	β−1)λj	β−1)λj	X
ejpam-6227	277	32	−1	−1	NOUN
ejpam-6227	277	33			ADJ
ejpam-6227	277	34	β	β	NOUN
ejpam-6227	277	35	,	,	PUNCT
ejpam-6227	277	36	1	1	NUM
ejpam-6227	277	37	−	−	NOUN
ejpam-6227	277	38	log	log	NOUN
ejpam-6227	277	39	1	1	NOUN
ejpam-6227	277	40	+	+	PROPN
ejpam-6227	277	41	n∏	n∏	PROPN
ejpam-6227	277	42	j=1	j=1	NOUN
ejpam-6227	277	43	(	(	PUNCT
ejpam-6227	277	44	β	β	X
ejpam-6227	277	45	1−dj	1−dj	X
ejpam-6227	278	1	−1)λj	−1)λj	PROPN
ejpam-6227	278	2	(	(	PUNCT
ejpam-6227	278	3	β−1)λj	β−1)λj	X
ejpam-6227	278	4	−1	−1	NOUN
ejpam-6227	278	5			ADJ
ejpam-6227	278	6	β	β	NOUN
ejpam-6227	278	7	,	,	PUNCT
ejpam-6227	278	8	1	1	NUM
ejpam-6227	278	9	−	−	NOUN
ejpam-6227	278	10	log	log	NOUN
ejpam-6227	278	11	1	1	NOUN
ejpam-6227	278	12	+	+	PROPN
ejpam-6227	278	13	n∏	n∏	PROPN
ejpam-6227	278	14	j=1	j=1	NOUN
ejpam-6227	278	15	(	(	PUNCT
ejpam-6227	278	16	β	β	X
ejpam-6227	278	17	1−ej	1−ej	NUM
ejpam-6227	278	18	−1)λj	−1)λj	X
ejpam-6227	278	19	(	(	PUNCT
ejpam-6227	278	20	β−1)λj	β−1)λj	X
ejpam-6227	278	21	−1	−1	NOUN
ejpam-6227	278	22			SCONJ
ejpam-6227	278	23	β	β	X
ejpam-6227	278	24			NUM
ejpam-6227	278	25	,	,	PUNCT
ejpam-6227	278	26			ADJ
ejpam-6227	278	27	log	log	NOUN
ejpam-6227	278	28	1	1	PROPN
ejpam-6227	278	29	+	+	PROPN
ejpam-6227	278	30	n∏	n∏	PROPN
ejpam-6227	278	31	j=1	j=1	NOUN
ejpam-6227	278	32	(	(	PUNCT
ejpam-6227	278	33	β	β	NOUN
ejpam-6227	278	34	1−gj	1−gj	NOUN
ejpam-6227	279	1	−1)λj	−1)λj	PROPN
ejpam-6227	279	2	(	(	PUNCT
ejpam-6227	279	3	β−1)λj	β−1)λj	X
ejpam-6227	279	4	−1	−1	NOUN
ejpam-6227	279	5			ADJ
ejpam-6227	279	6	β	β	NOUN
ejpam-6227	279	7	,	,	PUNCT
ejpam-6227	279	8	log	log	VERB
ejpam-6227	279	9	1	1	PROPN
ejpam-6227	279	10	+	+	PROPN
ejpam-6227	279	11	n∏	n∏	PROPN
ejpam-6227	279	12	j=1	j=1	NOUN
ejpam-6227	279	13	(	(	PUNCT
ejpam-6227	279	14	β	β	NOUN
ejpam-6227	279	15	1−hj	1−hj	NUM
ejpam-6227	280	1	−1)λj	−1)λj	NOUN
ejpam-6227	280	2	(	(	PUNCT
ejpam-6227	280	3	β−1)λj	β−1)λj	X
ejpam-6227	280	4	−1	−1	NOUN
ejpam-6227	280	5			ADJ
ejpam-6227	280	6	β	β	NOUN
ejpam-6227	280	7	,	,	PUNCT
ejpam-6227	280	8	log	log	VERB
ejpam-6227	280	9	1	1	PROPN
ejpam-6227	280	10	+	+	PROPN
ejpam-6227	280	11	n∏	n∏	PROPN
ejpam-6227	280	12	j=1	j=1	NOUN
ejpam-6227	280	13	(	(	PUNCT
ejpam-6227	280	14	β	β	X
ejpam-6227	280	15	1−lj	1−lj	NUM
ejpam-6227	280	16	−1)λj	−1)λj	PROPN
ejpam-6227	280	17	(	(	PUNCT
ejpam-6227	280	18	β−1)λj	β−1)λj	X
ejpam-6227	280	19	−1	−1	NOUN
ejpam-6227	280	20			SCONJ
ejpam-6227	280	21	β	β	X
ejpam-6227	280	22			NOUN
ejpam-6227	280	23			NOUN
ejpam-6227	280	24	.	.	PUNCT
ejpam-6227	281	1	proof	proof	NOUN
ejpam-6227	281	2	:	:	PUNCT
ejpam-6227	281	3	this	this	DET
ejpam-6227	281	4	proof	proof	NOUN
ejpam-6227	281	5	is	be	AUX
ejpam-6227	281	6	the	the	DET
ejpam-6227	281	7	same	same	ADJ
ejpam-6227	281	8	as	as	ADP
ejpam-6227	281	9	in	in	ADP
ejpam-6227	281	10	theorem	theorem	ADJ
ejpam-6227	281	11	1	1	NUM
ejpam-6227	281	12	a.	a.	NOUN
ejpam-6227	281	13	fahmi	fahmi	PROPN
ejpam-6227	281	14	et	et	PROPN
ejpam-6227	281	15	al	al	PROPN
ejpam-6227	281	16	.	.	PUNCT
ejpam-6227	281	17	/	/	SYM
ejpam-6227	281	18	eur	eur	PROPN
ejpam-6227	281	19	.	.	PUNCT
ejpam-6227	282	1	j.	j.	PROPN
ejpam-6227	282	2	pure	pure	PROPN
ejpam-6227	282	3	appl	appl	PROPN
ejpam-6227	282	4	.	.	PROPN
ejpam-6227	282	5	math	math	PROPN
ejpam-6227	282	6	,	,	PUNCT
ejpam-6227	282	7	18	18	NUM
ejpam-6227	282	8	(	(	PUNCT
ejpam-6227	282	9	3	3	NUM
ejpam-6227	282	10	)	)	PUNCT
ejpam-6227	282	11	(	(	PUNCT
ejpam-6227	282	12	2025	2025	NUM
ejpam-6227	282	13	)	)	PUNCT
ejpam-6227	282	14	,	,	PUNCT
ejpam-6227	282	15	6227	6227	NUM
ejpam-6227	282	16	16	16	NUM
ejpam-6227	282	17	of	of	ADP
ejpam-6227	282	18	37	37	NUM
ejpam-6227	282	19	theorem	theorem	NOUN
ejpam-6227	282	20	8	8	NUM
ejpam-6227	282	21	.	.	PUNCT
ejpam-6227	283	1	(	(	PUNCT
ejpam-6227	283	2	idempotency):if	idempotency):if	PROPN
ejpam-6227	283	3	z̃v	z̃v	NUM
ejpam-6227	283	4	=	=	PUNCT
ejpam-6227	284	1	[	[	PUNCT
ejpam-6227	284	2	[	[	X
ejpam-6227	284	3	cj	cj	X
ejpam-6227	284	4	,	,	PUNCT
ejpam-6227	284	5	dj	dj	X
ejpam-6227	284	6	,	,	PUNCT
ejpam-6227	284	7	ej	ej	X
ejpam-6227	284	8	]	]	X
ejpam-6227	284	9	,	,	PUNCT
ejpam-6227	284	10	[	[	X
ejpam-6227	284	11	gj	gj	INTJ
ejpam-6227	284	12	,	,	PUNCT
ejpam-6227	284	13	hj	hj	PROPN
ejpam-6227	284	14	,	,	PUNCT
ejpam-6227	284	15	lj	lj	PROPN
ejpam-6227	284	16	]	]	PUNCT
ejpam-6227	284	17	]	]	PUNCT
ejpam-6227	284	18	for	for	ADP
ejpam-6227	284	19	all	all	DET
ejpam-6227	284	20	r	r	NOUN
ejpam-6227	284	21	=	=	SYM
ejpam-6227	284	22	1	1	NUM
ejpam-6227	284	23	,	,	PUNCT
ejpam-6227	284	24	2	2	NUM
ejpam-6227	284	25	,	,	PUNCT
ejpam-6227	284	26	3	3	NUM
ejpam-6227	284	27	,	,	PUNCT
ejpam-6227	284	28	...	...	PUNCT
ejpam-6227	284	29	,	,	PUNCT
ejpam-6227	284	30	m	m	PRON
ejpam-6227	284	31	,	,	PUNCT
ejpam-6227	284	32	then	then	ADV
ejpam-6227	284	33	tiffhwa(z̃v	tiffhwa(z̃v	PRON
ejpam-6227	284	34	,	,	PUNCT
ejpam-6227	284	35	z̃v	z̃v	PROPN
ejpam-6227	284	36	,	,	PUNCT
ejpam-6227	284	37	z̃v	z̃v	PROPN
ejpam-6227	284	38	,	,	PUNCT
ejpam-6227	284	39	...	...	PUNCT
ejpam-6227	284	40	,	,	PUNCT
ejpam-6227	284	41	z̃v	z̃v	PROPN
ejpam-6227	284	42	)	)	PUNCT
ejpam-6227	285	1	=	=	SYM
ejpam-6227	285	2	z̃v	z̃v	PROPN
ejpam-6227	285	3	.	.	PUNCT
ejpam-6227	286	1	proof	proof	NOUN
ejpam-6227	286	2	:	:	PUNCT
ejpam-6227	286	3	this	this	DET
ejpam-6227	286	4	proof	proof	NOUN
ejpam-6227	286	5	is	be	AUX
ejpam-6227	286	6	the	the	DET
ejpam-6227	286	7	same	same	ADJ
ejpam-6227	286	8	as	as	ADP
ejpam-6227	286	9	in	in	ADP
ejpam-6227	286	10	theorem	theorem	NOUN
ejpam-6227	286	11	2	2	NUM
ejpam-6227	286	12	.	.	PUNCT
ejpam-6227	286	13	theorem	theorem	NOUN
ejpam-6227	286	14	9	9	NUM
ejpam-6227	286	15	.	.	PUNCT
ejpam-6227	287	1	(	(	PUNCT
ejpam-6227	287	2	boundedness):if	boundedness):if	VERB
ejpam-6227	287	3	y	y	NOUN
ejpam-6227	287	4	−	−	PROPN
ejpam-6227	288	1	=	=	PUNCT
ejpam-6227	288	2	min(z̃v	min(z̃v	PROPN
ejpam-6227	288	3	1	1	NUM
ejpam-6227	288	4	,	,	PUNCT
ejpam-6227	288	5	z̃v	z̃v	PROPN
ejpam-6227	288	6	2	2	NUM
ejpam-6227	288	7	,	,	PUNCT
ejpam-6227	288	8	...	...	PUNCT
ejpam-6227	288	9	,	,	PUNCT
ejpam-6227	288	10	z̃v	z̃v	PROPN
ejpam-6227	288	11	m	m	PROPN
ejpam-6227	288	12	)	)	PUNCT
ejpam-6227	288	13	,	,	PUNCT
ejpam-6227	288	14	y	y	PROPN
ejpam-6227	289	1	+	+	NUM
ejpam-6227	289	2	=	=	PUNCT
ejpam-6227	289	3	max(z̃v	max(z̃v	PROPN
ejpam-6227	289	4	1	1	NUM
ejpam-6227	289	5	,	,	PUNCT
ejpam-6227	289	6	z̃v	z̃v	PROPN
ejpam-6227	289	7	2	2	NUM
ejpam-6227	289	8	,	,	PUNCT
ejpam-6227	289	9	...	...	PUNCT
ejpam-6227	289	10	,	,	PUNCT
ejpam-6227	289	11	z̃v	z̃v	PROPN
ejpam-6227	289	12	m	m	PROPN
ejpam-6227	289	13	)	)	PUNCT
ejpam-6227	289	14	,	,	PUNCT
ejpam-6227	289	15	then	then	ADV
ejpam-6227	289	16	y	y	PROPN
ejpam-6227	289	17	−	−	PROPN
ejpam-6227	289	18	≤	≤	NUM
ejpam-6227	289	19	tiffhwa(z̃v	tiffhwa(z̃v	VERB
ejpam-6227	289	20	1	1	NUM
ejpam-6227	289	21	,	,	PUNCT
ejpam-6227	289	22	z̃v	z̃v	PROPN
ejpam-6227	289	23	2	2	NUM
ejpam-6227	289	24	,	,	PUNCT
ejpam-6227	289	25	...	...	PUNCT
ejpam-6227	289	26	,	,	PUNCT
ejpam-6227	289	27	z̃v	z̃v	PROPN
ejpam-6227	289	28	m	m	NOUN
ejpam-6227	289	29	)	)	PUNCT
ejpam-6227	289	30	≤	≤	PUNCT
ejpam-6227	289	31	y	y	PROPN
ejpam-6227	289	32	+	+	PROPN
ejpam-6227	289	33	.	.	PUNCT
ejpam-6227	290	1	proof	proof	NOUN
ejpam-6227	290	2	:	:	PUNCT
ejpam-6227	290	3	this	this	DET
ejpam-6227	290	4	proof	proof	NOUN
ejpam-6227	290	5	is	be	AUX
ejpam-6227	290	6	the	the	DET
ejpam-6227	290	7	same	same	ADJ
ejpam-6227	290	8	as	as	ADP
ejpam-6227	290	9	in	in	ADP
ejpam-6227	290	10	theorem	theorem	NOUN
ejpam-6227	290	11	3	3	NUM
ejpam-6227	290	12	.	.	X
ejpam-6227	290	13	4.4	4.4	NUM
ejpam-6227	290	14	.	.	PUNCT
ejpam-6227	291	1	tiffwg	tiffwg	NOUN
ejpam-6227	291	2	operator	operator	NOUN
ejpam-6227	291	3	definition	definition	NOUN
ejpam-6227	291	4	11	11	NUM
ejpam-6227	291	5	.	.	PUNCT
ejpam-6227	292	1	let	let	VERB
ejpam-6227	292	2	kj	kj	NOUN
ejpam-6227	293	1	=	=	PUNCT
ejpam-6227	294	1	[	[	PUNCT
ejpam-6227	294	2	[	[	X
ejpam-6227	294	3	cj	cj	X
ejpam-6227	294	4	,	,	PUNCT
ejpam-6227	294	5	dj	dj	X
ejpam-6227	294	6	,	,	PUNCT
ejpam-6227	294	7	ej	ej	X
ejpam-6227	294	8	]	]	X
ejpam-6227	294	9	,	,	PUNCT
ejpam-6227	294	10	[	[	X
ejpam-6227	294	11	gj	gj	INTJ
ejpam-6227	294	12	,	,	PUNCT
ejpam-6227	294	13	hj	hj	PROPN
ejpam-6227	294	14	,	,	PUNCT
ejpam-6227	294	15	lj	lj	PROPN
ejpam-6227	294	16	]	]	PUNCT
ejpam-6227	294	17	]	]	PUNCT
ejpam-6227	294	18	be	be	AUX
ejpam-6227	294	19	the	the	DET
ejpam-6227	294	20	gathering	gathering	NOUN
ejpam-6227	294	21	of	of	ADP
ejpam-6227	294	22	tifns	tifns	NOUN
ejpam-6227	294	23	and	and	CCONJ
ejpam-6227	294	24	u	u	NOUN
ejpam-6227	294	25	=	=	PUNCT
ejpam-6227	294	26	(	(	PUNCT
ejpam-6227	294	27	u1	u1	PROPN
ejpam-6227	294	28	,	,	PUNCT
ejpam-6227	294	29	u2	u2	NOUN
ejpam-6227	294	30	,	,	PUNCT
ejpam-6227	294	31	...	...	PUNCT
ejpam-6227	294	32	,	,	PUNCT
ejpam-6227	294	33	um)t	um)t	PROPN
ejpam-6227	294	34	is	be	AUX
ejpam-6227	294	35	the	the	DET
ejpam-6227	294	36	weight	weight	NOUN
ejpam-6227	294	37	vector	vector	NOUN
ejpam-6227	294	38	with	with	ADP
ejpam-6227	294	39	uj	uj	PROPN
ejpam-6227	294	40	∈	∈	PROPN
ejpam-6227	295	1	[	[	X
ejpam-6227	295	2	0	0	NUM
ejpam-6227	295	3	,	,	PUNCT
ejpam-6227	295	4	1	1	NUM
ejpam-6227	295	5	]	]	PUNCT
ejpam-6227	295	6	and	and	CCONJ
ejpam-6227	295	7	m∑	m∑	ADV
ejpam-6227	295	8	j=1	j=1	PROPN
ejpam-6227	295	9	uj	uj	PROPN
ejpam-6227	295	10	=	=	NOUN
ejpam-6227	295	11	1	1	X
ejpam-6227	295	12	.	.	PUNCT
ejpam-6227	295	13	then	then	ADV
ejpam-6227	295	14	tiffwg	tiffwg	NOUN
ejpam-6227	295	15	(	(	PUNCT
ejpam-6227	295	16	k1	k1	NOUN
ejpam-6227	295	17	,	,	PUNCT
ejpam-6227	295	18	k2	k2	NOUN
ejpam-6227	295	19	,	,	PUNCT
ejpam-6227	295	20	...	...	PUNCT
ejpam-6227	295	21	,	,	PUNCT
ejpam-6227	295	22	km	km	NOUN
ejpam-6227	295	23	)	)	PUNCT
ejpam-6227	295	24	=	=	SYM
ejpam-6227	296	1	m⊗	m⊗	NOUN
ejpam-6227	297	1	j=1	j=1	PROPN
ejpam-6227	297	2	k	k	PROPN
ejpam-6227	297	3	uj	uj	PROPN
ejpam-6227	297	4	j	j	PROPN
ejpam-6227	297	5	is	be	AUX
ejpam-6227	297	6	said	say	VERB
ejpam-6227	297	7	tiffwg	tiffwg	NOUN
ejpam-6227	297	8	operator	operator	NOUN
ejpam-6227	297	9	.	.	PUNCT
ejpam-6227	298	1	theorem	theorem	VERB
ejpam-6227	298	2	10	10	NUM
ejpam-6227	298	3	.	.	PUNCT
ejpam-6227	299	1	the	the	DET
ejpam-6227	299	2	collection	collection	NOUN
ejpam-6227	299	3	of	of	ADP
ejpam-6227	299	4	tifns	tifns	NOUN
ejpam-6227	299	5	are	be	AUX
ejpam-6227	299	6	aj	aj	PROPN
ejpam-6227	299	7	=	=	PUNCT
ejpam-6227	300	1	[	[	PUNCT
ejpam-6227	300	2	[	[	X
ejpam-6227	300	3	cj	cj	X
ejpam-6227	300	4	,	,	PUNCT
ejpam-6227	300	5	dj	dj	X
ejpam-6227	300	6	,	,	PUNCT
ejpam-6227	300	7	ej	ej	X
ejpam-6227	300	8	]	]	X
ejpam-6227	300	9	,	,	PUNCT
ejpam-6227	300	10	[	[	X
ejpam-6227	300	11	gj	gj	INTJ
ejpam-6227	300	12	,	,	PUNCT
ejpam-6227	300	13	hj	hj	PROPN
ejpam-6227	300	14	,	,	PUNCT
ejpam-6227	300	15	lj	lj	PROPN
ejpam-6227	300	16	]	]	PUNCT
ejpam-6227	300	17	]	]	PUNCT
ejpam-6227	300	18	and	and	CCONJ
ejpam-6227	300	19	λ	λ	X
ejpam-6227	300	20	=	=	SYM
ejpam-6227	300	21	(	(	PUNCT
ejpam-6227	300	22	λ1	λ1	ADJ
ejpam-6227	300	23	,	,	PUNCT
ejpam-6227	300	24	λ2	λ2	NOUN
ejpam-6227	300	25	,	,	PUNCT
ejpam-6227	300	26	...	...	PUNCT
ejpam-6227	300	27	,	,	PUNCT
ejpam-6227	300	28	λn)t	λn)t	PRON
ejpam-6227	300	29	is	be	AUX
ejpam-6227	300	30	the	the	DET
ejpam-6227	300	31	weight	weight	NOUN
ejpam-6227	300	32	vector	vector	NOUN
ejpam-6227	300	33	with	with	ADP
ejpam-6227	300	34	λj	λj	PROPN
ejpam-6227	300	35	∈	∈	PROPN
ejpam-6227	301	1	[	[	X
ejpam-6227	301	2	0	0	NUM
ejpam-6227	301	3	,	,	PUNCT
ejpam-6227	301	4	1	1	NUM
ejpam-6227	301	5	]	]	PUNCT
ejpam-6227	301	6	and	and	CCONJ
ejpam-6227	301	7	n∑	n∑	PROPN
ejpam-6227	301	8	j=1	j=1	NOUN
ejpam-6227	301	9	λj	λj	X
ejpam-6227	301	10	=	=	SYM
ejpam-6227	301	11	1	1	X
ejpam-6227	301	12	.	.	PUNCT
ejpam-6227	302	1	then	then	ADV
ejpam-6227	302	2	it	it	PRON
ejpam-6227	302	3	is	be	AUX
ejpam-6227	302	4	said	say	VERB
ejpam-6227	302	5	tiffwg	tiffwg	NOUN
ejpam-6227	302	6	operator	operator	NOUN
ejpam-6227	302	7	and	and	CCONJ
ejpam-6227	302	8	tiffwg(a1	tiffwg(a1	NOUN
ejpam-6227	302	9	,	,	PUNCT
ejpam-6227	302	10	a2	a2	PROPN
ejpam-6227	302	11	,	,	PUNCT
ejpam-6227	302	12	...	...	PUNCT
ejpam-6227	302	13	,	,	PUNCT
ejpam-6227	302	14	an	an	X
ejpam-6227	302	15	)	)	PUNCT
ejpam-6227	302	16	=	=	SYM
ejpam-6227	302	17	a.	a.	NOUN
ejpam-6227	302	18	fahmi	fahmi	PROPN
ejpam-6227	302	19	et	et	PROPN
ejpam-6227	302	20	al	al	PROPN
ejpam-6227	302	21	.	.	PUNCT
ejpam-6227	302	22	/	/	SYM
ejpam-6227	302	23	eur	eur	PROPN
ejpam-6227	302	24	.	.	PUNCT
ejpam-6227	303	1	j.	j.	PROPN
ejpam-6227	303	2	pure	pure	PROPN
ejpam-6227	303	3	appl	appl	PROPN
ejpam-6227	303	4	.	.	PROPN
ejpam-6227	303	5	math	math	PROPN
ejpam-6227	303	6	,	,	PUNCT
ejpam-6227	303	7	18	18	NUM
ejpam-6227	303	8	(	(	PUNCT
ejpam-6227	303	9	3	3	NUM
ejpam-6227	303	10	)	)	PUNCT
ejpam-6227	303	11	(	(	PUNCT
ejpam-6227	303	12	2025	2025	NUM
ejpam-6227	303	13	)	)	PUNCT
ejpam-6227	303	14	,	,	PUNCT
ejpam-6227	303	15	6227	6227	NUM
ejpam-6227	303	16	17	17	NUM
ejpam-6227	303	17	of	of	ADP
ejpam-6227	303	18	37	37	NUM
ejpam-6227	303	19			ADJ
ejpam-6227	303	20	log	log	NOUN
ejpam-6227	303	21	1	1	PROPN
ejpam-6227	303	22	+	+	PROPN
ejpam-6227	303	23	n∏	n∏	PROPN
ejpam-6227	303	24	j=1	j=1	NOUN
ejpam-6227	303	25	(	(	PUNCT
ejpam-6227	303	26	β	β	X
ejpam-6227	303	27	cj	cj	X
ejpam-6227	303	28	−1)λ	−1)λ	PUNCT
ejpam-6227	303	29	(	(	PUNCT
ejpam-6227	303	30	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	303	31			ADJ
ejpam-6227	303	32	β	β	NOUN
ejpam-6227	303	33	,	,	PUNCT
ejpam-6227	303	34	log	log	VERB
ejpam-6227	303	35	1	1	PROPN
ejpam-6227	303	36	+	+	PROPN
ejpam-6227	303	37	n∏	n∏	PROPN
ejpam-6227	303	38	j=1	j=1	NOUN
ejpam-6227	303	39	(	(	PUNCT
ejpam-6227	303	40	β	β	X
ejpam-6227	303	41	dj	dj	X
ejpam-6227	303	42	−1)λ	−1)λ	PUNCT
ejpam-6227	303	43	(	(	PUNCT
ejpam-6227	303	44	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	304	1			ADJ
ejpam-6227	304	2	β	β	NOUN
ejpam-6227	304	3	,	,	PUNCT
ejpam-6227	304	4	log	log	VERB
ejpam-6227	304	5	1	1	PROPN
ejpam-6227	304	6	+	+	PROPN
ejpam-6227	304	7	n∏	n∏	PROPN
ejpam-6227	304	8	j=1	j=1	NOUN
ejpam-6227	304	9	(	(	PUNCT
ejpam-6227	304	10	β	β	X
ejpam-6227	304	11	ej	ej	X
ejpam-6227	304	12	−1)λ	−1)λ	X
ejpam-6227	304	13	(	(	PUNCT
ejpam-6227	304	14	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	304	15			PRON
ejpam-6227	304	16	β	β	NOUN
ejpam-6227	304	17			NUM
ejpam-6227	304	18	,	,	PUNCT
ejpam-6227	304	19			ADJ
ejpam-6227	304	20	1	1	NUM
ejpam-6227	304	21	−	−	NOUN
ejpam-6227	304	22	log	log	NOUN
ejpam-6227	304	23	1	1	NOUN
ejpam-6227	304	24	+	+	PROPN
ejpam-6227	304	25	n∏	n∏	PROPN
ejpam-6227	304	26	j=1	j=1	NOUN
ejpam-6227	304	27	(	(	PUNCT
ejpam-6227	304	28	β	β	NOUN
ejpam-6227	304	29	1−gj	1−gj	NOUN
ejpam-6227	304	30	−1)λ	−1)λ	PUNCT
ejpam-6227	304	31	(	(	PUNCT
ejpam-6227	304	32	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	304	33			ADJ
ejpam-6227	304	34	β	β	NOUN
ejpam-6227	304	35	,	,	PUNCT
ejpam-6227	304	36	1	1	NUM
ejpam-6227	304	37	−	−	NOUN
ejpam-6227	304	38	log	log	NOUN
ejpam-6227	304	39	1	1	NOUN
ejpam-6227	304	40	+	+	PROPN
ejpam-6227	304	41	n∏	n∏	PROPN
ejpam-6227	304	42	j=1	j=1	NOUN
ejpam-6227	304	43	(	(	PUNCT
ejpam-6227	304	44	β	β	NOUN
ejpam-6227	304	45	1−hj	1−hj	NUM
ejpam-6227	304	46	−1)λ	−1)λ	PUNCT
ejpam-6227	304	47	(	(	PUNCT
ejpam-6227	304	48	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	304	49			ADJ
ejpam-6227	304	50	β	β	NOUN
ejpam-6227	304	51	,	,	PUNCT
ejpam-6227	304	52	1	1	NUM
ejpam-6227	304	53	−	−	NOUN
ejpam-6227	304	54	log	log	NOUN
ejpam-6227	304	55	1	1	NOUN
ejpam-6227	304	56	+	+	PROPN
ejpam-6227	304	57	n∏	n∏	PROPN
ejpam-6227	304	58	j=1	j=1	NOUN
ejpam-6227	304	59	(	(	PUNCT
ejpam-6227	304	60	β	β	X
ejpam-6227	304	61	1−lj	1−lj	NUM
ejpam-6227	304	62	−1)λ	−1)λ	PUNCT
ejpam-6227	304	63	(	(	PUNCT
ejpam-6227	304	64	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	304	65			PRON
ejpam-6227	304	66	β	β	X
ejpam-6227	304	67			NOUN
ejpam-6227	304	68			NOUN
ejpam-6227	304	69	.	.	PUNCT
ejpam-6227	305	1	proof	proof	NOUN
ejpam-6227	305	2	.	.	PUNCT
ejpam-6227	306	1	since	since	SCONJ
ejpam-6227	306	2	n	n	NOUN
ejpam-6227	306	3	=	=	SYM
ejpam-6227	306	4	1	1	NUM
ejpam-6227	306	5	,	,	PUNCT
ejpam-6227	306	6	a1λ1	a1λ1	PUNCT
ejpam-6227	306	7	=	=	SYM
ejpam-6227	306	8			VERB
ejpam-6227	306	9	log	log	X
ejpam-6227	306	10	(	(	PUNCT
ejpam-6227	306	11	1	1	NUM
ejpam-6227	306	12	+	+	CCONJ
ejpam-6227	306	13	(	(	PUNCT
ejpam-6227	306	14	βc1	βc1	NOUN
ejpam-6227	306	15	−1)λ1	−1)λ1	X
ejpam-6227	306	16	(	(	PUNCT
ejpam-6227	306	17	β−1)λ1−1	β−1)λ1−1	PROPN
ejpam-6227	306	18	)	)	PUNCT
ejpam-6227	306	19	β	β	X
ejpam-6227	306	20	,	,	PUNCT
ejpam-6227	306	21	log	log	PROPN
ejpam-6227	306	22	(	(	PUNCT
ejpam-6227	306	23	1	1	NUM
ejpam-6227	306	24	+	+	CCONJ
ejpam-6227	306	25	(	(	PUNCT
ejpam-6227	306	26	βd1	βd1	X
ejpam-6227	306	27	−1)λ1	−1)λ1	X
ejpam-6227	306	28	(	(	PUNCT
ejpam-6227	306	29	β−1)λ1−1	β−1)λ1−1	PROPN
ejpam-6227	306	30	)	)	PUNCT
ejpam-6227	306	31	β	β	X
ejpam-6227	306	32	,	,	PUNCT
ejpam-6227	306	33	log	log	PROPN
ejpam-6227	306	34	(	(	PUNCT
ejpam-6227	306	35	1	1	NUM
ejpam-6227	306	36	+	+	CCONJ
ejpam-6227	306	37	(	(	PUNCT
ejpam-6227	306	38	βe1	βe1	X
ejpam-6227	306	39	−1)λ1	−1)λ1	X
ejpam-6227	306	40	(	(	PUNCT
ejpam-6227	306	41	β−1)λ1−1	β−1)λ1−1	PROPN
ejpam-6227	306	42	)	)	PUNCT
ejpam-6227	306	43	β	β	NOUN
ejpam-6227	306	44			NOUN
ejpam-6227	306	45	,	,	PUNCT
ejpam-6227	306	46			PROPN
ejpam-6227	306	47	1	1	NUM
ejpam-6227	306	48	−	−	NOUN
ejpam-6227	306	49	log	log	NOUN
ejpam-6227	306	50	(	(	PUNCT
ejpam-6227	306	51	1	1	NUM
ejpam-6227	306	52	+	+	CCONJ
ejpam-6227	306	53	(	(	PUNCT
ejpam-6227	306	54	β1−g1	β1−g1	X
ejpam-6227	306	55	−1)λ	−1)λ	PUNCT
ejpam-6227	306	56	(	(	PUNCT
ejpam-6227	306	57	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	306	58	)	)	PUNCT
ejpam-6227	306	59	β	β	NOUN
ejpam-6227	306	60	,	,	PUNCT
ejpam-6227	306	61	1	1	NUM
ejpam-6227	306	62	−	−	NOUN
ejpam-6227	306	63	log	log	NOUN
ejpam-6227	306	64	(	(	PUNCT
ejpam-6227	306	65	1	1	NUM
ejpam-6227	306	66	+	+	NUM
ejpam-6227	306	67	(	(	PUNCT
ejpam-6227	306	68	β1−h1	β1−h1	X
ejpam-6227	306	69	−1)λ	−1)λ	PUNCT
ejpam-6227	306	70	(	(	PUNCT
ejpam-6227	306	71	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	306	72	)	)	PUNCT
ejpam-6227	306	73	β	β	NOUN
ejpam-6227	306	74	,	,	PUNCT
ejpam-6227	306	75	1	1	NUM
ejpam-6227	306	76	−	−	NOUN
ejpam-6227	306	77	log	log	NOUN
ejpam-6227	306	78	(	(	PUNCT
ejpam-6227	306	79	1	1	NUM
ejpam-6227	306	80	+	+	CCONJ
ejpam-6227	306	81	(	(	PUNCT
ejpam-6227	306	82	β1−l1	β1−l1	NUM
ejpam-6227	306	83	−1)λ	−1)λ	PUNCT
ejpam-6227	306	84	(	(	PUNCT
ejpam-6227	306	85	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	306	86	)	)	PUNCT
ejpam-6227	306	87	β	β	X
ejpam-6227	306	88			PROPN
ejpam-6227	306	89			PROPN
ejpam-6227	306	90	;	;	PUNCT
ejpam-6227	306	91	a2λ2	a2λ2	NUM
ejpam-6227	306	92	=	=	SYM
ejpam-6227	306	93			NOUN
ejpam-6227	306	94	log	log	X
ejpam-6227	306	95	(	(	PUNCT
ejpam-6227	306	96	1	1	NUM
ejpam-6227	306	97	+	+	CCONJ
ejpam-6227	306	98	(	(	PUNCT
ejpam-6227	306	99	βc2	βc2	PRON
ejpam-6227	306	100	−1)λ2	−1)λ2	PROPN
ejpam-6227	306	101	(	(	PUNCT
ejpam-6227	306	102	β−1)λ2−1	β−1)λ2−1	NOUN
ejpam-6227	306	103	)	)	PUNCT
ejpam-6227	306	104	β	β	NOUN
ejpam-6227	306	105	,	,	PUNCT
ejpam-6227	306	106	log	log	PROPN
ejpam-6227	306	107	(	(	PUNCT
ejpam-6227	306	108	1	1	NUM
ejpam-6227	306	109	+	+	CCONJ
ejpam-6227	306	110	(	(	PUNCT
ejpam-6227	306	111	βd2	βd2	PROPN
ejpam-6227	306	112	−1)λ2	−1)λ2	PROPN
ejpam-6227	306	113	(	(	PUNCT
ejpam-6227	306	114	β−1)λ2−1	β−1)λ2−1	NOUN
ejpam-6227	306	115	)	)	PUNCT
ejpam-6227	306	116	β	β	NOUN
ejpam-6227	306	117	,	,	PUNCT
ejpam-6227	306	118	log	log	PROPN
ejpam-6227	306	119	(	(	PUNCT
ejpam-6227	306	120	1	1	NUM
ejpam-6227	306	121	+	+	CCONJ
ejpam-6227	306	122	(	(	PUNCT
ejpam-6227	306	123	βe2	βe2	X
ejpam-6227	306	124	−1)λ2	−1)λ2	PROPN
ejpam-6227	306	125	(	(	PUNCT
ejpam-6227	306	126	β−1)λ2−1	β−1)λ2−1	NOUN
ejpam-6227	306	127	)	)	PUNCT
ejpam-6227	306	128	β	β	NOUN
ejpam-6227	306	129			NOUN
ejpam-6227	306	130	,	,	PUNCT
ejpam-6227	306	131			PROPN
ejpam-6227	306	132	1	1	NUM
ejpam-6227	306	133	−	−	NOUN
ejpam-6227	306	134	log	log	NOUN
ejpam-6227	306	135	(	(	PUNCT
ejpam-6227	306	136	1	1	NUM
ejpam-6227	306	137	+	+	CCONJ
ejpam-6227	306	138	(	(	PUNCT
ejpam-6227	306	139	β1−g2	β1−g2	NUM
ejpam-6227	306	140	−1)λ2	−1)λ2	NOUN
ejpam-6227	306	141	(	(	PUNCT
ejpam-6227	306	142	β−1)λ2−1	β−1)λ2−1	NOUN
ejpam-6227	306	143	)	)	PUNCT
ejpam-6227	306	144	β	β	NOUN
ejpam-6227	306	145	,	,	PUNCT
ejpam-6227	306	146	1	1	NUM
ejpam-6227	306	147	−	−	NOUN
ejpam-6227	306	148	log	log	NOUN
ejpam-6227	306	149	(	(	PUNCT
ejpam-6227	306	150	1	1	NUM
ejpam-6227	306	151	+	+	CCONJ
ejpam-6227	306	152	(	(	PUNCT
ejpam-6227	306	153	β1−h2	β1−h2	NUM
ejpam-6227	306	154	−1)λ2	−1)λ2	X
ejpam-6227	306	155	(	(	PUNCT
ejpam-6227	306	156	β−1)λ2−1	β−1)λ2−1	NOUN
ejpam-6227	306	157	)	)	PUNCT
ejpam-6227	306	158	β	β	NOUN
ejpam-6227	306	159	,	,	PUNCT
ejpam-6227	306	160	1	1	NUM
ejpam-6227	306	161	−	−	NOUN
ejpam-6227	306	162	log	log	NOUN
ejpam-6227	306	163	(	(	PUNCT
ejpam-6227	306	164	1	1	NUM
ejpam-6227	306	165	+	+	CCONJ
ejpam-6227	306	166	(	(	PUNCT
ejpam-6227	306	167	β1−l2	β1−l2	NUM
ejpam-6227	306	168	−1)λ2	−1)λ2	PROPN
ejpam-6227	306	169	(	(	PUNCT
ejpam-6227	306	170	β−1)λ2−1	β−1)λ2−1	NOUN
ejpam-6227	306	171	)	)	PUNCT
ejpam-6227	306	172	β	β	X
ejpam-6227	306	173			PROPN
ejpam-6227	306	174			NOUN
ejpam-6227	306	175	n	n	PROPN
ejpam-6227	306	176	=	=	SYM
ejpam-6227	306	177	k	k	PROPN
ejpam-6227	306	178	a.	a.	PROPN
ejpam-6227	306	179	fahmi	fahmi	PROPN
ejpam-6227	306	180	et	et	PROPN
ejpam-6227	306	181	al	al	PROPN
ejpam-6227	306	182	.	.	PUNCT
ejpam-6227	306	183	/	/	SYM
ejpam-6227	306	184	eur	eur	PROPN
ejpam-6227	306	185	.	.	PUNCT
ejpam-6227	307	1	j.	j.	PROPN
ejpam-6227	307	2	pure	pure	PROPN
ejpam-6227	307	3	appl	appl	PROPN
ejpam-6227	307	4	.	.	PROPN
ejpam-6227	307	5	math	math	PROPN
ejpam-6227	307	6	,	,	PUNCT
ejpam-6227	307	7	18	18	NUM
ejpam-6227	307	8	(	(	PUNCT
ejpam-6227	307	9	3	3	NUM
ejpam-6227	307	10	)	)	PUNCT
ejpam-6227	307	11	(	(	PUNCT
ejpam-6227	307	12	2025	2025	NUM
ejpam-6227	307	13	)	)	PUNCT
ejpam-6227	307	14	,	,	PUNCT
ejpam-6227	307	15	6227	6227	NUM
ejpam-6227	307	16	18	18	NUM
ejpam-6227	307	17	of	of	ADP
ejpam-6227	307	18	37	37	NUM
ejpam-6227	307	19			NOUN
ejpam-6227	307	20	log	log	VERB
ejpam-6227	307	21	1	1	NOUN
ejpam-6227	308	1	+	+	X
ejpam-6227	308	2	k∏	k∏	PROPN
ejpam-6227	308	3	j=1	j=1	NOUN
ejpam-6227	308	4	(	(	PUNCT
ejpam-6227	308	5	β	β	X
ejpam-6227	308	6	cj	cj	X
ejpam-6227	308	7	−1)λ	−1)λ	PUNCT
ejpam-6227	308	8	(	(	PUNCT
ejpam-6227	308	9	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	308	10			ADJ
ejpam-6227	308	11	β	β	NOUN
ejpam-6227	308	12	,	,	PUNCT
ejpam-6227	308	13	log	log	VERB
ejpam-6227	308	14	1	1	NOUN
ejpam-6227	309	1	+	+	X
ejpam-6227	309	2	k∏	k∏	PROPN
ejpam-6227	309	3	j=1	j=1	NOUN
ejpam-6227	309	4	(	(	PUNCT
ejpam-6227	309	5	β	β	X
ejpam-6227	309	6	dj	dj	X
ejpam-6227	309	7	−1)λ	−1)λ	PUNCT
ejpam-6227	309	8	(	(	PUNCT
ejpam-6227	309	9	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	309	10			ADJ
ejpam-6227	309	11	β	β	NOUN
ejpam-6227	309	12	,	,	PUNCT
ejpam-6227	309	13	log	log	VERB
ejpam-6227	309	14	1	1	NOUN
ejpam-6227	310	1	+	+	X
ejpam-6227	310	2	k∏	k∏	PROPN
ejpam-6227	310	3	j=1	j=1	NOUN
ejpam-6227	310	4	(	(	PUNCT
ejpam-6227	310	5	β	β	X
ejpam-6227	310	6	ej	ej	X
ejpam-6227	310	7	−1)λ	−1)λ	X
ejpam-6227	310	8	(	(	PUNCT
ejpam-6227	310	9	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	310	10			PRON
ejpam-6227	310	11	β	β	NOUN
ejpam-6227	310	12			PROPN
ejpam-6227	310	13	,	,	PUNCT
ejpam-6227	310	14			NOUN
ejpam-6227	310	15	1	1	NUM
ejpam-6227	311	1	−	−	NOUN
ejpam-6227	311	2	log	log	NOUN
ejpam-6227	311	3	1	1	NOUN
ejpam-6227	311	4	+	+	X
ejpam-6227	311	5	k∏	k∏	PROPN
ejpam-6227	311	6	j=1	j=1	NOUN
ejpam-6227	311	7	(	(	PUNCT
ejpam-6227	311	8	β	β	NOUN
ejpam-6227	311	9	1−gj	1−gj	NOUN
ejpam-6227	311	10	−1)λ	−1)λ	PUNCT
ejpam-6227	311	11	(	(	PUNCT
ejpam-6227	311	12	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	311	13			ADJ
ejpam-6227	311	14	β	β	NOUN
ejpam-6227	311	15	,	,	PUNCT
ejpam-6227	311	16	1	1	NUM
ejpam-6227	311	17	−	−	NOUN
ejpam-6227	311	18	log	log	NOUN
ejpam-6227	311	19	1	1	NOUN
ejpam-6227	311	20	+	+	X
ejpam-6227	311	21	k∏	k∏	PROPN
ejpam-6227	311	22	j=1	j=1	NOUN
ejpam-6227	311	23	(	(	PUNCT
ejpam-6227	311	24	β	β	NOUN
ejpam-6227	311	25	1−hj	1−hj	NUM
ejpam-6227	311	26	−1)λ	−1)λ	PUNCT
ejpam-6227	311	27	(	(	PUNCT
ejpam-6227	311	28	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	311	29			ADJ
ejpam-6227	311	30	β	β	NOUN
ejpam-6227	311	31	,	,	PUNCT
ejpam-6227	311	32	1	1	NUM
ejpam-6227	311	33	−	−	NOUN
ejpam-6227	311	34	log	log	NOUN
ejpam-6227	311	35	1	1	NOUN
ejpam-6227	311	36	+	+	X
ejpam-6227	311	37	k∏	k∏	PROPN
ejpam-6227	311	38	j=1	j=1	NOUN
ejpam-6227	311	39	(	(	PUNCT
ejpam-6227	311	40	β	β	X
ejpam-6227	311	41	1−lj	1−lj	NUM
ejpam-6227	311	42	−1)λ	−1)λ	PUNCT
ejpam-6227	311	43	(	(	PUNCT
ejpam-6227	311	44	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	312	1			PRON
ejpam-6227	312	2	β	β	NOUN
ejpam-6227	312	3			NUM
ejpam-6227	312	4			NOUN
ejpam-6227	312	5	n	n	PROPN
ejpam-6227	312	6	=	=	SYM
ejpam-6227	312	7	k	k	PROPN
ejpam-6227	313	1	+	+	CCONJ
ejpam-6227	313	2	1	1	NUM
ejpam-6227	313	3	a.	a.	NOUN
ejpam-6227	313	4	fahmi	fahmi	PROPN
ejpam-6227	313	5	et	et	PROPN
ejpam-6227	313	6	al	al	PROPN
ejpam-6227	313	7	.	.	PUNCT
ejpam-6227	313	8	/	/	SYM
ejpam-6227	313	9	eur	eur	PROPN
ejpam-6227	313	10	.	.	PUNCT
ejpam-6227	314	1	j.	j.	PROPN
ejpam-6227	314	2	pure	pure	PROPN
ejpam-6227	314	3	appl	appl	PROPN
ejpam-6227	314	4	.	.	PROPN
ejpam-6227	314	5	math	math	PROPN
ejpam-6227	314	6	,	,	PUNCT
ejpam-6227	314	7	18	18	NUM
ejpam-6227	314	8	(	(	PUNCT
ejpam-6227	314	9	3	3	NUM
ejpam-6227	314	10	)	)	PUNCT
ejpam-6227	314	11	(	(	PUNCT
ejpam-6227	314	12	2025	2025	NUM
ejpam-6227	314	13	)	)	PUNCT
ejpam-6227	314	14	,	,	PUNCT
ejpam-6227	314	15	6227	6227	NUM
ejpam-6227	314	16	19	19	NUM
ejpam-6227	314	17	of	of	ADP
ejpam-6227	314	18	37	37	NUM
ejpam-6227	314	19			NOUN
ejpam-6227	314	20	log	log	VERB
ejpam-6227	314	21	1	1	PROPN
ejpam-6227	314	22	+	+	CCONJ
ejpam-6227	314	23	k+1∏	k+1∏	NOUN
ejpam-6227	314	24	j=1	j=1	NOUN
ejpam-6227	314	25	(	(	PUNCT
ejpam-6227	314	26	β	β	X
ejpam-6227	314	27	cj	cj	X
ejpam-6227	314	28	−1)λ	−1)λ	PUNCT
ejpam-6227	314	29	(	(	PUNCT
ejpam-6227	314	30	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	314	31			ADJ
ejpam-6227	314	32	β	β	NOUN
ejpam-6227	314	33	,	,	PUNCT
ejpam-6227	314	34	log	log	VERB
ejpam-6227	314	35	1	1	NOUN
ejpam-6227	314	36	+	+	CCONJ
ejpam-6227	314	37	k+1∏	k+1∏	NOUN
ejpam-6227	314	38	j=1	j=1	NOUN
ejpam-6227	314	39	(	(	PUNCT
ejpam-6227	314	40	β	β	X
ejpam-6227	314	41	dj	dj	X
ejpam-6227	314	42	−1)λ	−1)λ	PUNCT
ejpam-6227	314	43	(	(	PUNCT
ejpam-6227	314	44	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	314	45			ADJ
ejpam-6227	314	46	β	β	NOUN
ejpam-6227	314	47	,	,	PUNCT
ejpam-6227	314	48	log	log	VERB
ejpam-6227	314	49	1	1	NOUN
ejpam-6227	314	50	+	+	CCONJ
ejpam-6227	314	51	k+1∏	k+1∏	NOUN
ejpam-6227	314	52	j=1	j=1	NOUN
ejpam-6227	314	53	(	(	PUNCT
ejpam-6227	315	1	β	β	X
ejpam-6227	315	2	ej	ej	X
ejpam-6227	315	3	−1)λ	−1)λ	X
ejpam-6227	315	4	(	(	PUNCT
ejpam-6227	315	5	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	315	6			PRON
ejpam-6227	315	7	β	β	NOUN
ejpam-6227	315	8			PROPN
ejpam-6227	315	9	,	,	PUNCT
ejpam-6227	315	10			NOUN
ejpam-6227	315	11	1	1	NUM
ejpam-6227	315	12	−	−	NOUN
ejpam-6227	316	1	log	log	NOUN
ejpam-6227	316	2	1	1	NOUN
ejpam-6227	316	3	+	+	CCONJ
ejpam-6227	316	4	k+1∏	k+1∏	NOUN
ejpam-6227	316	5	j=1	j=1	NOUN
ejpam-6227	316	6	(	(	PUNCT
ejpam-6227	316	7	β	β	NOUN
ejpam-6227	316	8	1−gj	1−gj	NOUN
ejpam-6227	316	9	−1)λ	−1)λ	PUNCT
ejpam-6227	316	10	(	(	PUNCT
ejpam-6227	316	11	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	316	12			ADJ
ejpam-6227	316	13	β	β	NOUN
ejpam-6227	316	14	,	,	PUNCT
ejpam-6227	316	15	1	1	NUM
ejpam-6227	316	16	−	−	NOUN
ejpam-6227	316	17	log	log	NOUN
ejpam-6227	316	18	1	1	NOUN
ejpam-6227	316	19	+	+	CCONJ
ejpam-6227	316	20	k+1∏	k+1∏	NOUN
ejpam-6227	316	21	j=1	j=1	NOUN
ejpam-6227	316	22	(	(	PUNCT
ejpam-6227	316	23	β	β	NOUN
ejpam-6227	316	24	1−hj	1−hj	NUM
ejpam-6227	316	25	−1)λ	−1)λ	PUNCT
ejpam-6227	316	26	(	(	PUNCT
ejpam-6227	316	27	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	316	28			ADJ
ejpam-6227	316	29	β	β	NOUN
ejpam-6227	316	30	,	,	PUNCT
ejpam-6227	316	31	1	1	NUM
ejpam-6227	316	32	−	−	NOUN
ejpam-6227	316	33	log	log	NOUN
ejpam-6227	316	34	1	1	NOUN
ejpam-6227	316	35	+	+	CCONJ
ejpam-6227	316	36	k+1∏	k+1∏	NOUN
ejpam-6227	316	37	j=1	j=1	NOUN
ejpam-6227	316	38	(	(	PUNCT
ejpam-6227	316	39	β	β	X
ejpam-6227	316	40	1−lj	1−lj	NUM
ejpam-6227	316	41	−1)λ	−1)λ	PUNCT
ejpam-6227	316	42	(	(	PUNCT
ejpam-6227	316	43	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	316	44			DET
ejpam-6227	316	45	β	β	NOUN
ejpam-6227	316	46			PROPN
ejpam-6227	316	47			NOUN
ejpam-6227	316	48	theorem	theorem	ADJ
ejpam-6227	316	49	11	11	NUM
ejpam-6227	316	50	.	.	PUNCT
ejpam-6227	317	1	(	(	PUNCT
ejpam-6227	317	2	idempotency):if	idempotency):if	PROPN
ejpam-6227	317	3	z̃v	z̃v	NUM
ejpam-6227	317	4	=	=	PUNCT
ejpam-6227	318	1	[	[	PUNCT
ejpam-6227	318	2	[	[	X
ejpam-6227	318	3	cj	cj	X
ejpam-6227	318	4	,	,	PUNCT
ejpam-6227	318	5	dj	dj	X
ejpam-6227	318	6	,	,	PUNCT
ejpam-6227	318	7	ej	ej	X
ejpam-6227	318	8	]	]	X
ejpam-6227	318	9	,	,	PUNCT
ejpam-6227	318	10	[	[	X
ejpam-6227	318	11	gj	gj	INTJ
ejpam-6227	318	12	,	,	PUNCT
ejpam-6227	318	13	hj	hj	PROPN
ejpam-6227	318	14	,	,	PUNCT
ejpam-6227	318	15	lj	lj	PROPN
ejpam-6227	318	16	]	]	PUNCT
ejpam-6227	318	17	]	]	PUNCT
ejpam-6227	318	18	for	for	ADP
ejpam-6227	318	19	all	all	DET
ejpam-6227	318	20	l	l	NOUN
ejpam-6227	318	21	=	=	SYM
ejpam-6227	318	22	1	1	NUM
ejpam-6227	318	23	,	,	PUNCT
ejpam-6227	318	24	2	2	NUM
ejpam-6227	318	25	,	,	PUNCT
ejpam-6227	318	26	3	3	NUM
ejpam-6227	318	27	,	,	PUNCT
ejpam-6227	318	28	...	...	PUNCT
ejpam-6227	318	29	,	,	PUNCT
ejpam-6227	318	30	m	m	PROPN
ejpam-6227	318	31	,	,	PUNCT
ejpam-6227	318	32	then	then	ADV
ejpam-6227	318	33	tiffwg(z̃v	tiffwg(z̃v	NUM
ejpam-6227	318	34	,	,	PUNCT
ejpam-6227	318	35	z̃v	z̃v	PROPN
ejpam-6227	318	36	,	,	PUNCT
ejpam-6227	318	37	z̃v	z̃v	PROPN
ejpam-6227	318	38	,	,	PUNCT
ejpam-6227	318	39	...	...	PUNCT
ejpam-6227	318	40	,	,	PUNCT
ejpam-6227	318	41	z̃v	z̃v	PROPN
ejpam-6227	318	42	)	)	PUNCT
ejpam-6227	319	1	=	=	SYM
ejpam-6227	319	2	z̃v	z̃v	PROPN
ejpam-6227	319	3	.	.	PUNCT
ejpam-6227	320	1	proof	proof	NOUN
ejpam-6227	320	2	.	.	PUNCT
ejpam-6227	321	1	since	since	SCONJ
ejpam-6227	321	2	z̃v	z̃v	PROPN
ejpam-6227	321	3	=	=	PUNCT
ejpam-6227	322	1	[	[	X
ejpam-6227	322	2	[	[	X
ejpam-6227	322	3	cj	cj	X
ejpam-6227	322	4	,	,	PUNCT
ejpam-6227	322	5	dj	dj	X
ejpam-6227	322	6	,	,	PUNCT
ejpam-6227	322	7	ej	ej	X
ejpam-6227	322	8	]	]	X
ejpam-6227	322	9	,	,	PUNCT
ejpam-6227	322	10	[	[	X
ejpam-6227	322	11	gj	gj	INTJ
ejpam-6227	322	12	,	,	PUNCT
ejpam-6227	322	13	hj	hj	PROPN
ejpam-6227	322	14	,	,	PUNCT
ejpam-6227	322	15	lj	lj	PROPN
ejpam-6227	322	16	]	]	X
ejpam-6227	322	17	]	]	X
ejpam-6227	322	18	a.	a.	PROPN
ejpam-6227	322	19	fahmi	fahmi	PROPN
ejpam-6227	322	20	et	et	PROPN
ejpam-6227	322	21	al	al	PROPN
ejpam-6227	322	22	.	.	PUNCT
ejpam-6227	322	23	/	/	SYM
ejpam-6227	322	24	eur	eur	PROPN
ejpam-6227	322	25	.	.	PUNCT
ejpam-6227	323	1	j.	j.	PROPN
ejpam-6227	323	2	pure	pure	PROPN
ejpam-6227	323	3	appl	appl	PROPN
ejpam-6227	323	4	.	.	PROPN
ejpam-6227	323	5	math	math	PROPN
ejpam-6227	323	6	,	,	PUNCT
ejpam-6227	323	7	18	18	NUM
ejpam-6227	323	8	(	(	PUNCT
ejpam-6227	323	9	3	3	NUM
ejpam-6227	323	10	)	)	PUNCT
ejpam-6227	323	11	(	(	PUNCT
ejpam-6227	323	12	2025	2025	NUM
ejpam-6227	323	13	)	)	PUNCT
ejpam-6227	323	14	,	,	PUNCT
ejpam-6227	323	15	6227	6227	NUM
ejpam-6227	323	16	20	20	NUM
ejpam-6227	323	17	of	of	ADP
ejpam-6227	323	18	37	37	NUM
ejpam-6227	323	19			NOUN
ejpam-6227	323	20	log	log	VERB
ejpam-6227	323	21	1	1	PROPN
ejpam-6227	323	22	+	+	PROPN
ejpam-6227	323	23	n∏	n∏	PROPN
ejpam-6227	323	24	j=1	j=1	NOUN
ejpam-6227	323	25	(	(	PUNCT
ejpam-6227	323	26	β	β	X
ejpam-6227	323	27	1−cj	1−cj	NUM
ejpam-6227	323	28	−1)λj	−1)λj	X
ejpam-6227	323	29	(	(	PUNCT
ejpam-6227	323	30	β−1)λj	β−1)λj	X
ejpam-6227	323	31	−1	−1	NOUN
ejpam-6227	323	32			ADJ
ejpam-6227	323	33	β	β	NOUN
ejpam-6227	323	34	,	,	PUNCT
ejpam-6227	323	35	log	log	VERB
ejpam-6227	323	36	1	1	PROPN
ejpam-6227	323	37	+	+	PROPN
ejpam-6227	323	38	n∏	n∏	PROPN
ejpam-6227	323	39	j=1	j=1	NOUN
ejpam-6227	323	40	(	(	PUNCT
ejpam-6227	323	41	β	β	X
ejpam-6227	323	42	1−dj	1−dj	X
ejpam-6227	324	1	−1)λj	−1)λj	PROPN
ejpam-6227	324	2	(	(	PUNCT
ejpam-6227	324	3	β−1)λj	β−1)λj	X
ejpam-6227	324	4	−1	−1	NOUN
ejpam-6227	324	5			ADJ
ejpam-6227	324	6	β	β	NOUN
ejpam-6227	324	7	,	,	PUNCT
ejpam-6227	324	8	log	log	VERB
ejpam-6227	324	9	1	1	PROPN
ejpam-6227	324	10	+	+	PROPN
ejpam-6227	324	11	n∏	n∏	PROPN
ejpam-6227	324	12	j=1	j=1	NOUN
ejpam-6227	324	13	(	(	PUNCT
ejpam-6227	324	14	β	β	X
ejpam-6227	324	15	1−ej	1−ej	NUM
ejpam-6227	324	16	−1)λj	−1)λj	X
ejpam-6227	324	17	(	(	PUNCT
ejpam-6227	324	18	β−1)λj	β−1)λj	X
ejpam-6227	324	19	−1	−1	NOUN
ejpam-6227	324	20			SCONJ
ejpam-6227	324	21	β	β	X
ejpam-6227	324	22			NUM
ejpam-6227	324	23	,	,	PUNCT
ejpam-6227	324	24			VERB
ejpam-6227	324	25	1	1	NUM
ejpam-6227	324	26	−	−	NOUN
ejpam-6227	324	27	log	log	NOUN
ejpam-6227	324	28	1	1	NOUN
ejpam-6227	324	29	+	+	PROPN
ejpam-6227	324	30	n∏	n∏	PROPN
ejpam-6227	324	31	j=1	j=1	NOUN
ejpam-6227	324	32	(	(	PUNCT
ejpam-6227	324	33	β	β	NOUN
ejpam-6227	324	34	1−gj	1−gj	NOUN
ejpam-6227	325	1	−1)λj	−1)λj	PROPN
ejpam-6227	325	2	(	(	PUNCT
ejpam-6227	325	3	β−1)λj	β−1)λj	X
ejpam-6227	325	4	−1	−1	NOUN
ejpam-6227	325	5			ADJ
ejpam-6227	325	6	β	β	NOUN
ejpam-6227	325	7	,	,	PUNCT
ejpam-6227	325	8	1	1	NUM
ejpam-6227	325	9	−	−	NOUN
ejpam-6227	325	10	log	log	NOUN
ejpam-6227	325	11	1	1	NOUN
ejpam-6227	325	12	+	+	PROPN
ejpam-6227	325	13	n∏	n∏	PROPN
ejpam-6227	325	14	j=1	j=1	NOUN
ejpam-6227	325	15	(	(	PUNCT
ejpam-6227	325	16	β	β	NOUN
ejpam-6227	325	17	1−hj	1−hj	NUM
ejpam-6227	326	1	−1)λj	−1)λj	NOUN
ejpam-6227	326	2	(	(	PUNCT
ejpam-6227	326	3	β−1)λj	β−1)λj	X
ejpam-6227	326	4	−1	−1	NOUN
ejpam-6227	326	5			ADJ
ejpam-6227	326	6	β	β	NOUN
ejpam-6227	326	7	,	,	PUNCT
ejpam-6227	326	8	1	1	NUM
ejpam-6227	326	9	−	−	NOUN
ejpam-6227	326	10	log	log	NOUN
ejpam-6227	326	11	1	1	NOUN
ejpam-6227	326	12	+	+	PROPN
ejpam-6227	326	13	n∏	n∏	PROPN
ejpam-6227	326	14	j=1	j=1	NOUN
ejpam-6227	326	15	(	(	PUNCT
ejpam-6227	326	16	β	β	X
ejpam-6227	326	17	1−lj	1−lj	NUM
ejpam-6227	326	18	−1)λj	−1)λj	PROPN
ejpam-6227	326	19	(	(	PUNCT
ejpam-6227	326	20	β−1)λj	β−1)λj	X
ejpam-6227	326	21	−1	−1	NOUN
ejpam-6227	326	22			X
ejpam-6227	326	23	β	β	X
ejpam-6227	326	24			NUM
ejpam-6227	326	25			NUM
ejpam-6227	326	26	=	=	VERB
ejpam-6227	326	27			NOUN
ejpam-6227	326	28			NOUN
ejpam-6227	326	29	log	log	VERB
ejpam-6227	326	30	1	1	PROPN
ejpam-6227	326	31	+	+	CCONJ
ejpam-6227	326	32	(	(	PUNCT
ejpam-6227	326	33	β	β	X
ejpam-6227	326	34	1−cj	1−cj	NUM
ejpam-6227	326	35	−1	−1	NOUN
ejpam-6227	326	36	)	)	PUNCT
ejpam-6227	327	1	n∑	n∑	PUNCT
ejpam-6227	328	1	j=1	j=1	NOUN
ejpam-6227	328	2	λj	λj	X
ejpam-6227	328	3	(	(	PUNCT
ejpam-6227	328	4	β−1	β−1	NUM
ejpam-6227	328	5	)	)	PUNCT
ejpam-6227	328	6	n∑	n∑	NOUN
ejpam-6227	329	1	j=1	j=1	NOUN
ejpam-6227	330	1	λj	λj	X
ejpam-6227	330	2	−1	−1	NOUN
ejpam-6227	330	3			ADJ
ejpam-6227	330	4	β	β	NOUN
ejpam-6227	330	5	,	,	PUNCT
ejpam-6227	330	6	log	log	VERB
ejpam-6227	330	7	1	1	PROPN
ejpam-6227	331	1	+	+	CCONJ
ejpam-6227	331	2	(	(	PUNCT
ejpam-6227	331	3	β	β	X
ejpam-6227	331	4	1−dj	1−dj	NUM
ejpam-6227	331	5	−1	−1	NOUN
ejpam-6227	331	6	)	)	PUNCT
ejpam-6227	332	1	n∑	n∑	PUNCT
ejpam-6227	333	1	j=1	j=1	NOUN
ejpam-6227	333	2	λj	λj	X
ejpam-6227	333	3	(	(	PUNCT
ejpam-6227	333	4	β−1	β−1	NUM
ejpam-6227	333	5	)	)	PUNCT
ejpam-6227	333	6	n∑	n∑	NOUN
ejpam-6227	334	1	j=1	j=1	NOUN
ejpam-6227	335	1	λj	λj	X
ejpam-6227	335	2	−1	−1	NOUN
ejpam-6227	335	3			ADJ
ejpam-6227	335	4	β	β	NOUN
ejpam-6227	335	5	,	,	PUNCT
ejpam-6227	335	6	log	log	VERB
ejpam-6227	335	7	1	1	PROPN
ejpam-6227	336	1	+	+	CCONJ
ejpam-6227	336	2	(	(	PUNCT
ejpam-6227	336	3	β	β	X
ejpam-6227	336	4	1−ej	1−ej	NUM
ejpam-6227	336	5	−1	−1	NOUN
ejpam-6227	336	6	)	)	PUNCT
ejpam-6227	336	7	n∑	n∑	PUNCT
ejpam-6227	337	1	j=1	j=1	NOUN
ejpam-6227	337	2	λj	λj	X
ejpam-6227	337	3	(	(	PUNCT
ejpam-6227	337	4	β−1	β−1	NUM
ejpam-6227	337	5	)	)	PUNCT
ejpam-6227	337	6	n∑	n∑	NOUN
ejpam-6227	338	1	j=1	j=1	NOUN
ejpam-6227	339	1	λj	λj	X
ejpam-6227	339	2	−1	−1	NOUN
ejpam-6227	339	3			SCONJ
ejpam-6227	340	1	β	β	NOUN
ejpam-6227	340	2			NUM
ejpam-6227	340	3	,	,	PUNCT
ejpam-6227	340	4			NOUN
ejpam-6227	340	5	1	1	NUM
ejpam-6227	340	6	−	−	NOUN
ejpam-6227	340	7	log	log	NOUN
ejpam-6227	340	8	1	1	PROPN
ejpam-6227	340	9	+	+	CCONJ
ejpam-6227	340	10	(	(	PUNCT
ejpam-6227	340	11	β	β	NOUN
ejpam-6227	340	12	1−gj	1−gj	NOUN
ejpam-6227	340	13	−1	−1	NOUN
ejpam-6227	340	14	)	)	PUNCT
ejpam-6227	341	1	n∑	n∑	PUNCT
ejpam-6227	342	1	j=1	j=1	NOUN
ejpam-6227	342	2	λj	λj	X
ejpam-6227	342	3	(	(	PUNCT
ejpam-6227	342	4	β−1	β−1	NUM
ejpam-6227	342	5	)	)	PUNCT
ejpam-6227	342	6	n∑	n∑	NOUN
ejpam-6227	343	1	j=1	j=1	NOUN
ejpam-6227	344	1	λj	λj	X
ejpam-6227	344	2	−1	−1	NOUN
ejpam-6227	345	1			ADJ
ejpam-6227	345	2	β	β	NOUN
ejpam-6227	345	3	,	,	PUNCT
ejpam-6227	345	4	1	1	NUM
ejpam-6227	345	5	−	−	NOUN
ejpam-6227	345	6	log	log	NOUN
ejpam-6227	345	7	1	1	PROPN
ejpam-6227	345	8	+	+	CCONJ
ejpam-6227	345	9	(	(	PUNCT
ejpam-6227	345	10	β	β	NOUN
ejpam-6227	345	11	1−hj	1−hj	NUM
ejpam-6227	345	12	−1	−1	NOUN
ejpam-6227	345	13	)	)	PUNCT
ejpam-6227	346	1	n∑	n∑	PUNCT
ejpam-6227	347	1	j=1	j=1	NOUN
ejpam-6227	347	2	λj	λj	X
ejpam-6227	347	3	(	(	PUNCT
ejpam-6227	347	4	β−1	β−1	NUM
ejpam-6227	347	5	)	)	PUNCT
ejpam-6227	347	6	n∑	n∑	NOUN
ejpam-6227	348	1	j=1	j=1	NOUN
ejpam-6227	349	1	λj	λj	X
ejpam-6227	349	2	−1	−1	NOUN
ejpam-6227	350	1			ADJ
ejpam-6227	350	2	β	β	NOUN
ejpam-6227	350	3	,	,	PUNCT
ejpam-6227	350	4	1	1	NUM
ejpam-6227	350	5	−	−	NOUN
ejpam-6227	350	6	log	log	NOUN
ejpam-6227	350	7	1	1	PROPN
ejpam-6227	350	8	+	+	CCONJ
ejpam-6227	350	9	(	(	PUNCT
ejpam-6227	350	10	β	β	X
ejpam-6227	350	11	1−lj	1−lj	NUM
ejpam-6227	350	12	−1	−1	NOUN
ejpam-6227	350	13	)	)	PUNCT
ejpam-6227	350	14	n∑	n∑	PUNCT
ejpam-6227	351	1	j=1	j=1	NOUN
ejpam-6227	351	2	λj	λj	X
ejpam-6227	351	3	(	(	PUNCT
ejpam-6227	351	4	β−1	β−1	NUM
ejpam-6227	351	5	)	)	PUNCT
ejpam-6227	351	6	n∑	n∑	NOUN
ejpam-6227	352	1	j=1	j=1	NOUN
ejpam-6227	353	1	λj	λj	X
ejpam-6227	353	2	−1	−1	NOUN
ejpam-6227	353	3			X
ejpam-6227	353	4	β	β	ADP
ejpam-6227	353	5			NUM
ejpam-6227	353	6			ADJ
ejpam-6227	353	7	=	=	NOUN
ejpam-6227	353	8			NOUN
ejpam-6227	353	9	log	log	X
ejpam-6227	354	1	(	(	PUNCT
ejpam-6227	354	2	1	1	NUM
ejpam-6227	354	3	+	+	CCONJ
ejpam-6227	354	4	(	(	PUNCT
ejpam-6227	354	5	β	β	X
ejpam-6227	354	6	1−cj	1−cj	NUM
ejpam-6227	354	7	−1)1	−1)1	NUM
ejpam-6227	354	8	(	(	PUNCT
ejpam-6227	354	9	β−1)1−1	β−1)1−1	INTJ
ejpam-6227	354	10	)	)	PUNCT
ejpam-6227	354	11	β	β	NOUN
ejpam-6227	354	12	,	,	PUNCT
ejpam-6227	354	13	log	log	PROPN
ejpam-6227	354	14	(	(	PUNCT
ejpam-6227	354	15	1	1	NUM
ejpam-6227	354	16	+	+	CCONJ
ejpam-6227	354	17	(	(	PUNCT
ejpam-6227	354	18	β	β	X
ejpam-6227	354	19	1−dj	1−dj	NUM
ejpam-6227	354	20	−1)1	−1)1	PRON
ejpam-6227	354	21	(	(	PUNCT
ejpam-6227	354	22	β−1)1−1	β−1)1−1	INTJ
ejpam-6227	354	23	)	)	PUNCT
ejpam-6227	354	24	β	β	NOUN
ejpam-6227	354	25	,	,	PUNCT
ejpam-6227	354	26	log	log	PROPN
ejpam-6227	354	27	(	(	PUNCT
ejpam-6227	354	28	1	1	NUM
ejpam-6227	354	29	+	+	CCONJ
ejpam-6227	354	30	(	(	PUNCT
ejpam-6227	354	31	β	β	X
ejpam-6227	354	32	1−ej	1−ej	NUM
ejpam-6227	354	33	−1)1	−1)1	PRON
ejpam-6227	354	34	(	(	PUNCT
ejpam-6227	354	35	β−1)1−1	β−1)1−1	INTJ
ejpam-6227	354	36	)	)	PUNCT
ejpam-6227	354	37	β	β	NOUN
ejpam-6227	354	38			NOUN
ejpam-6227	354	39	,	,	PUNCT
ejpam-6227	354	40	1	1	NOUN
ejpam-6227	354	41	−	−	PROPN
ejpam-6227	354	42	log	log	NOUN
ejpam-6227	354	43	(	(	PUNCT
ejpam-6227	354	44	1	1	NUM
ejpam-6227	354	45	+	+	CCONJ
ejpam-6227	354	46	(	(	PUNCT
ejpam-6227	354	47	β	β	NUM
ejpam-6227	354	48	1−gj	1−gj	NOUN
ejpam-6227	354	49	−1)1	−1)1	PRON
ejpam-6227	354	50	(	(	PUNCT
ejpam-6227	354	51	β−1)1−1	β−1)1−1	INTJ
ejpam-6227	354	52	)	)	PUNCT
ejpam-6227	354	53	β	β	NOUN
ejpam-6227	354	54	,	,	PUNCT
ejpam-6227	354	55	1	1	NUM
ejpam-6227	354	56	−	−	NOUN
ejpam-6227	354	57	log	log	NOUN
ejpam-6227	354	58	(	(	PUNCT
ejpam-6227	354	59	1	1	NUM
ejpam-6227	354	60	+	+	CCONJ
ejpam-6227	354	61	(	(	PUNCT
ejpam-6227	354	62	β	β	NOUN
ejpam-6227	354	63	1−hj	1−hj	NUM
ejpam-6227	354	64	−1)1	−1)1	PRON
ejpam-6227	354	65	(	(	PUNCT
ejpam-6227	354	66	β−1)1−1	β−1)1−1	INTJ
ejpam-6227	354	67	)	)	PUNCT
ejpam-6227	354	68	β	β	NOUN
ejpam-6227	354	69	,	,	PUNCT
ejpam-6227	354	70	1	1	NUM
ejpam-6227	354	71	−	−	NOUN
ejpam-6227	354	72	log	log	NOUN
ejpam-6227	354	73	(	(	PUNCT
ejpam-6227	354	74	1	1	NUM
ejpam-6227	354	75	+	+	CCONJ
ejpam-6227	354	76	(	(	PUNCT
ejpam-6227	354	77	β	β	X
ejpam-6227	354	78	1−lj	1−lj	NUM
ejpam-6227	354	79	−1)1	−1)1	PRON
ejpam-6227	354	80	(	(	PUNCT
ejpam-6227	354	81	β−1)1−1	β−1)1−1	INTJ
ejpam-6227	354	82	)	)	PUNCT
ejpam-6227	354	83	β	β	NOUN
ejpam-6227	354	84			NOUN
ejpam-6227	354	85			NUM
ejpam-6227	354	86	=	=	SYM
ejpam-6227	354	87			NOUN
ejpam-6227	354	88	[	[	PUNCT
ejpam-6227	354	89	log(1+(β1−cj	log(1+(β1−cj	NOUN
ejpam-6227	354	90	−1)1	−1)1	NUM
ejpam-6227	354	91	)	)	PUNCT
ejpam-6227	354	92	β	β	NOUN
ejpam-6227	354	93	,	,	PUNCT
ejpam-6227	354	94	log(1+(β1−dj	log(1+(β1−dj	NOUN
ejpam-6227	354	95	−1)1	−1)1	X
ejpam-6227	354	96	)	)	PUNCT
ejpam-6227	354	97	β	β	NOUN
ejpam-6227	354	98	,	,	PUNCT
ejpam-6227	354	99	log(1+(β1−ej	log(1+(β1−ej	NOUN
ejpam-6227	354	100	−1)1	−1)1	NUM
ejpam-6227	354	101	)	)	PUNCT
ejpam-6227	354	102	β	β	X
ejpam-6227	354	103	]	]	PUNCT
ejpam-6227	354	104	,	,	PUNCT
ejpam-6227	354	105	[	[	PUNCT
ejpam-6227	354	106	1	1	NUM
ejpam-6227	354	107	−	−	PRON
ejpam-6227	354	108	log(1+(β1−gj	log(1+(β1−gj	NOUN
ejpam-6227	354	109	−1)1	−1)1	NUM
ejpam-6227	354	110	)	)	PUNCT
ejpam-6227	354	111	β	β	NOUN
ejpam-6227	354	112	,	,	PUNCT
ejpam-6227	354	113	1	1	NUM
ejpam-6227	354	114	−	−	NOUN
ejpam-6227	354	115	log(1+(β1−hj	log(1+(β1−hj	NOUN
ejpam-6227	354	116	−1)1	−1)1	NUM
ejpam-6227	354	117	)	)	PUNCT
ejpam-6227	354	118	β	β	NOUN
ejpam-6227	354	119	,	,	PUNCT
ejpam-6227	354	120	1	1	NUM
ejpam-6227	354	121	−	−	PROPN
ejpam-6227	354	122	log(1+(β1−lj	log(1+(β1−lj	X
ejpam-6227	354	123	−1)1	−1)1	NOUN
ejpam-6227	354	124	)	)	PUNCT
ejpam-6227	354	125	β	β	X
ejpam-6227	354	126	]	]	PUNCT
ejpam-6227	355	1			X
ejpam-6227	355	2	z̃v	z̃v	PUNCT
ejpam-6227	355	3	=	=	PUNCT
ejpam-6227	356	1	[	[	PUNCT
ejpam-6227	356	2	[	[	X
ejpam-6227	356	3	cj	cj	X
ejpam-6227	356	4	,	,	PUNCT
ejpam-6227	356	5	dj	dj	X
ejpam-6227	356	6	,	,	PUNCT
ejpam-6227	356	7	ej	ej	X
ejpam-6227	356	8	]	]	X
ejpam-6227	356	9	,	,	PUNCT
ejpam-6227	356	10	[	[	X
ejpam-6227	356	11	gj	gj	INTJ
ejpam-6227	356	12	,	,	PUNCT
ejpam-6227	356	13	hj	hj	PROPN
ejpam-6227	356	14	,	,	PUNCT
ejpam-6227	356	15	lj	lj	PROPN
ejpam-6227	356	16	]	]	PUNCT
ejpam-6227	357	1	]	]	PUNCT
ejpam-6227	357	2	a.	a.	PROPN
ejpam-6227	357	3	fahmi	fahmi	PROPN
ejpam-6227	357	4	et	et	PROPN
ejpam-6227	357	5	al	al	PROPN
ejpam-6227	357	6	.	.	PUNCT
ejpam-6227	357	7	/	/	SYM
ejpam-6227	357	8	eur	eur	PROPN
ejpam-6227	357	9	.	.	PUNCT
ejpam-6227	358	1	j.	j.	PROPN
ejpam-6227	358	2	pure	pure	PROPN
ejpam-6227	358	3	appl	appl	PROPN
ejpam-6227	358	4	.	.	PROPN
ejpam-6227	358	5	math	math	PROPN
ejpam-6227	358	6	,	,	PUNCT
ejpam-6227	358	7	18	18	NUM
ejpam-6227	358	8	(	(	PUNCT
ejpam-6227	358	9	3	3	NUM
ejpam-6227	358	10	)	)	PUNCT
ejpam-6227	358	11	(	(	PUNCT
ejpam-6227	358	12	2025	2025	NUM
ejpam-6227	358	13	)	)	PUNCT
ejpam-6227	358	14	,	,	PUNCT
ejpam-6227	358	15	6227	6227	NUM
ejpam-6227	358	16	21	21	NUM
ejpam-6227	358	17	of	of	ADP
ejpam-6227	358	18	37	37	NUM
ejpam-6227	358	19	theorem	theorem	NOUN
ejpam-6227	358	20	12	12	NUM
ejpam-6227	358	21	.	.	PUNCT
ejpam-6227	359	1	(	(	PUNCT
ejpam-6227	359	2	boundedness):if	boundedness):if	VERB
ejpam-6227	359	3	y	y	NOUN
ejpam-6227	360	1	=	=	PUNCT
ejpam-6227	361	1	[	[	PUNCT
ejpam-6227	361	2	[	[	X
ejpam-6227	361	3	cj	cj	X
ejpam-6227	361	4	,	,	PUNCT
ejpam-6227	361	5	dj	dj	X
ejpam-6227	361	6	,	,	PUNCT
ejpam-6227	361	7	ej	ej	X
ejpam-6227	361	8	]	]	X
ejpam-6227	361	9	,	,	PUNCT
ejpam-6227	361	10	[	[	X
ejpam-6227	361	11	gj	gj	INTJ
ejpam-6227	361	12	,	,	PUNCT
ejpam-6227	361	13	hj	hj	PROPN
ejpam-6227	361	14	,	,	PUNCT
ejpam-6227	361	15	lj	lj	PROPN
ejpam-6227	361	16	]	]	PUNCT
ejpam-6227	361	17	]	]	PUNCT
ejpam-6227	361	18	be	be	AUX
ejpam-6227	361	19	a	a	DET
ejpam-6227	361	20	collection	collection	NOUN
ejpam-6227	361	21	of	of	ADP
ejpam-6227	361	22	tifss	tifss	NOUN
ejpam-6227	361	23	.	.	PUNCT
ejpam-6227	362	1	if	if	SCONJ
ejpam-6227	362	2	y	y	PROPN
ejpam-6227	362	3	−	−	PROPN
ejpam-6227	362	4	=	=	SYM
ejpam-6227	362	5	min(y1	min(y1	PROPN
ejpam-6227	362	6	,	,	PUNCT
ejpam-6227	362	7	y2	y2	PROPN
ejpam-6227	362	8	,	,	PUNCT
ejpam-6227	362	9	...	...	PUNCT
ejpam-6227	362	10	,	,	PUNCT
ejpam-6227	362	11	ym	ym	PROPN
ejpam-6227	362	12	)	)	PUNCT
ejpam-6227	362	13	,	,	PUNCT
ejpam-6227	362	14	y	y	PROPN
ejpam-6227	362	15	+	+	CCONJ
ejpam-6227	362	16	=	=	SYM
ejpam-6227	362	17	max(y1	max(y1	PROPN
ejpam-6227	362	18	,	,	PUNCT
ejpam-6227	362	19	y2	y2	PROPN
ejpam-6227	362	20	,	,	PUNCT
ejpam-6227	362	21	...	...	PUNCT
ejpam-6227	362	22	,	,	PUNCT
ejpam-6227	362	23	ym	ym	PROPN
ejpam-6227	362	24	)	)	PUNCT
ejpam-6227	362	25	,	,	PUNCT
ejpam-6227	362	26	then	then	ADV
ejpam-6227	362	27	y	y	PROPN
ejpam-6227	362	28	−	−	PROPN
ejpam-6227	362	29	≤	≤	PROPN
ejpam-6227	362	30	tiffwg(y1	tiffwg(y1	NOUN
ejpam-6227	362	31	,	,	PUNCT
ejpam-6227	362	32	y2	y2	PROPN
ejpam-6227	362	33	,	,	PUNCT
ejpam-6227	362	34	...	...	PUNCT
ejpam-6227	362	35	,	,	PUNCT
ejpam-6227	362	36	ym	ym	PROPN
ejpam-6227	362	37	)	)	PUNCT
ejpam-6227	362	38	≤	≤	NOUN
ejpam-6227	363	1	y	y	PROPN
ejpam-6227	363	2	+	+	PROPN
ejpam-6227	363	3	.	.	PUNCT
ejpam-6227	363	4	proof	proof	NOUN
ejpam-6227	363	5	.	.	PUNCT
ejpam-6227	364	1	y	y	PROPN
ejpam-6227	364	2	−	−	PROPN
ejpam-6227	364	3	=	=	SYM
ejpam-6227	364	4	min(y1	min(y1	PROPN
ejpam-6227	364	5	,	,	PUNCT
ejpam-6227	364	6	y2	y2	PROPN
ejpam-6227	364	7	,	,	PUNCT
ejpam-6227	364	8	...	...	PUNCT
ejpam-6227	364	9	,	,	PUNCT
ejpam-6227	364	10	ym	ym	PROPN
ejpam-6227	364	11	)	)	PUNCT
ejpam-6227	365	1	=	=	PUNCT
ejpam-6227	366	1	[	[	PUNCT
ejpam-6227	366	2	[	[	X
ejpam-6227	366	3	cj	cj	X
ejpam-6227	366	4	,	,	PUNCT
ejpam-6227	366	5	dj	dj	X
ejpam-6227	366	6	,	,	PUNCT
ejpam-6227	366	7	ej	ej	X
ejpam-6227	366	8	]	]	X
ejpam-6227	366	9	,	,	PUNCT
ejpam-6227	366	10	[	[	X
ejpam-6227	366	11	gj	gj	INTJ
ejpam-6227	366	12	,	,	PUNCT
ejpam-6227	366	13	hj	hj	PROPN
ejpam-6227	366	14	,	,	PUNCT
ejpam-6227	366	15	lj	lj	PROPN
ejpam-6227	366	16	]	]	PUNCT
ejpam-6227	366	17	]	]	PUNCT
ejpam-6227	366	18	and	and	CCONJ
ejpam-6227	366	19	y	y	PROPN
ejpam-6227	366	20	+	+	CCONJ
ejpam-6227	366	21	=	=	SYM
ejpam-6227	366	22	max(y1	max(y1	PROPN
ejpam-6227	366	23	,	,	PUNCT
ejpam-6227	366	24	y2	y2	PROPN
ejpam-6227	366	25	,	,	PUNCT
ejpam-6227	366	26	...	...	PUNCT
ejpam-6227	366	27	,	,	PUNCT
ejpam-6227	366	28	ym	ym	PROPN
ejpam-6227	366	29	)	)	PUNCT
ejpam-6227	367	1	=	=	PUNCT
ejpam-6227	368	1	[	[	PUNCT
ejpam-6227	368	2	[	[	X
ejpam-6227	368	3	cj	cj	X
ejpam-6227	368	4	,	,	PUNCT
ejpam-6227	368	5	dj	dj	X
ejpam-6227	368	6	,	,	PUNCT
ejpam-6227	368	7	ej	ej	X
ejpam-6227	368	8	]	]	X
ejpam-6227	368	9	,	,	PUNCT
ejpam-6227	368	10	[	[	X
ejpam-6227	368	11	gj	gj	INTJ
ejpam-6227	368	12	,	,	PUNCT
ejpam-6227	368	13	hj	hj	PROPN
ejpam-6227	368	14	,	,	PUNCT
ejpam-6227	368	15	lj	lj	PROPN
ejpam-6227	368	16	]	]	PUNCT
ejpam-6227	368	17	]	]	PUNCT
ejpam-6227	368	18	since	since	SCONJ
ejpam-6227	368	19	minj(cj	minj(cj	PROPN
ejpam-6227	368	20	)	)	PUNCT
ejpam-6227	368	21	≤maxj(cj);minj(dj	≤maxj(cj);minj(dj	PROPN
ejpam-6227	368	22	)	)	PUNCT
ejpam-6227	368	23	≤maxj(dj);minj(ej	≤maxj(dj);minj(ej	PROPN
ejpam-6227	368	24	)	)	PUNCT
ejpam-6227	368	25	≤maxj(ej	≤maxj(ej	NUM
ejpam-6227	368	26	)	)	PUNCT
ejpam-6227	368	27	and	and	CCONJ
ejpam-6227	368	28	minj(gj	minj(gj	VERB
ejpam-6227	368	29	)	)	PUNCT
ejpam-6227	368	30	≤maxj(gj);minj(hj	≤maxj(gj);minj(hj	PROPN
ejpam-6227	368	31	)	)	PUNCT
ejpam-6227	368	32	≤maxj(hj);minj(lj	≤maxj(hj);minj(lj	PROPN
ejpam-6227	368	33	)	)	PUNCT
ejpam-6227	368	34	≤maxj(lj	≤maxj(lj	NUM
ejpam-6227	368	35	)	)	PUNCT
ejpam-6227	368	36	which	which	PRON
ejpam-6227	368	37	implies	imply	VERB
ejpam-6227	368	38	that	that	PRON
ejpam-6227	368	39	log	log	VERB
ejpam-6227	368	40	1	1	PROPN
ejpam-6227	369	1	+	+	PROPN
ejpam-6227	369	2	n∏	n∏	PROPN
ejpam-6227	369	3	j=1	j=1	NOUN
ejpam-6227	369	4	(	(	PUNCT
ejpam-6227	369	5	β	β	X
ejpam-6227	369	6	1−cj	1−cj	NUM
ejpam-6227	369	7	−1)λj	−1)λj	X
ejpam-6227	369	8	(	(	PUNCT
ejpam-6227	369	9	β−1)λj	β−1)λj	X
ejpam-6227	369	10	−1	−1	NOUN
ejpam-6227	369	11			SCONJ
ejpam-6227	369	12	β	β	X
ejpam-6227	369	13	≥	≥	NOUN
ejpam-6227	369	14	log	log	VERB
ejpam-6227	369	15	1	1	PROPN
ejpam-6227	369	16	+	+	PROPN
ejpam-6227	369	17	n∏	n∏	PROPN
ejpam-6227	369	18	j=1	j=1	NOUN
ejpam-6227	369	19	(	(	PUNCT
ejpam-6227	369	20	β	β	NOUN
ejpam-6227	369	21	1−(min	1−(min	NUM
ejpam-6227	369	22	cj	cj	NOUN
ejpam-6227	369	23	)	)	PUNCT
ejpam-6227	369	24	−1)λj	−1)λj	PROPN
ejpam-6227	369	25	(	(	PUNCT
ejpam-6227	369	26	β−1)λj	β−1)λj	X
ejpam-6227	369	27	−1	−1	NOUN
ejpam-6227	369	28			PROPN
ejpam-6227	369	29	β	β	X
ejpam-6227	369	30	;	;	PUNCT
ejpam-6227	369	31	log	log	VERB
ejpam-6227	369	32	1	1	PROPN
ejpam-6227	369	33	+	+	PROPN
ejpam-6227	369	34	n∏	n∏	PROPN
ejpam-6227	369	35	j=1	j=1	NOUN
ejpam-6227	369	36	(	(	PUNCT
ejpam-6227	369	37	β	β	X
ejpam-6227	369	38	1−dj	1−dj	X
ejpam-6227	370	1	−1)λj	−1)λj	PROPN
ejpam-6227	370	2	(	(	PUNCT
ejpam-6227	370	3	β−1)λj	β−1)λj	X
ejpam-6227	370	4	−1	−1	NOUN
ejpam-6227	370	5			SCONJ
ejpam-6227	370	6	β	β	X
ejpam-6227	370	7	≥	≥	NOUN
ejpam-6227	370	8	log	log	VERB
ejpam-6227	370	9	1	1	PROPN
ejpam-6227	370	10	+	+	PROPN
ejpam-6227	370	11	n∏	n∏	PROPN
ejpam-6227	370	12	j=1	j=1	NOUN
ejpam-6227	370	13	(	(	PUNCT
ejpam-6227	370	14	β	β	X
ejpam-6227	370	15	1−(min	1−(min	NUM
ejpam-6227	370	16	dj	dj	NOUN
ejpam-6227	370	17	)	)	PUNCT
ejpam-6227	371	1	−1)λj	−1)λj	PROPN
ejpam-6227	371	2	(	(	PUNCT
ejpam-6227	371	3	β−1)λj	β−1)λj	X
ejpam-6227	371	4	−1	−1	NOUN
ejpam-6227	371	5			PROPN
ejpam-6227	371	6	β	β	X
ejpam-6227	371	7	;	;	PUNCT
ejpam-6227	371	8	log	log	VERB
ejpam-6227	371	9	1	1	PROPN
ejpam-6227	371	10	+	+	PROPN
ejpam-6227	371	11	n∏	n∏	PROPN
ejpam-6227	371	12	j=1	j=1	NOUN
ejpam-6227	371	13	(	(	PUNCT
ejpam-6227	371	14	β	β	X
ejpam-6227	371	15	1−ej	1−ej	NUM
ejpam-6227	371	16	−1)λj	−1)λj	X
ejpam-6227	371	17	(	(	PUNCT
ejpam-6227	371	18	β−1)λj	β−1)λj	X
ejpam-6227	371	19	−1	−1	NOUN
ejpam-6227	372	1			SCONJ
ejpam-6227	372	2	β	β	X
ejpam-6227	372	3	≥	≥	NOUN
ejpam-6227	372	4	log	log	VERB
ejpam-6227	372	5	1	1	PROPN
ejpam-6227	372	6	+	+	PROPN
ejpam-6227	372	7	n∏	n∏	PROPN
ejpam-6227	372	8	j=1	j=1	NOUN
ejpam-6227	372	9	(	(	PUNCT
ejpam-6227	372	10	β	β	X
ejpam-6227	372	11	1−(min	1−(min	NUM
ejpam-6227	372	12	ej	ej	X
ejpam-6227	372	13	)	)	PUNCT
ejpam-6227	372	14	−1)λj	−1)λj	PROPN
ejpam-6227	372	15	(	(	PUNCT
ejpam-6227	372	16	β−1)λj	β−1)λj	X
ejpam-6227	372	17	−1	−1	NOUN
ejpam-6227	372	18			SCONJ
ejpam-6227	372	19	β	β	NOUN
ejpam-6227	372	20	and	and	CCONJ
ejpam-6227	372	21	1	1	NUM
ejpam-6227	372	22	-	-	NUM
ejpam-6227	372	23	log	log	NOUN
ejpam-6227	372	24	1	1	NOUN
ejpam-6227	372	25	+	+	PROPN
ejpam-6227	372	26	n∏	n∏	PROPN
ejpam-6227	372	27	j=1	j=1	NOUN
ejpam-6227	372	28	(	(	PUNCT
ejpam-6227	372	29	β	β	NOUN
ejpam-6227	372	30	1−gj	1−gj	NOUN
ejpam-6227	373	1	−1)λj	−1)λj	PROPN
ejpam-6227	373	2	(	(	PUNCT
ejpam-6227	373	3	β−1)λj	β−1)λj	X
ejpam-6227	373	4	−1	−1	NOUN
ejpam-6227	373	5			SCONJ
ejpam-6227	373	6	β	β	X
ejpam-6227	373	7	≥	≥	NOUN
ejpam-6227	373	8	1	1	NUM
ejpam-6227	373	9	−	−	NOUN
ejpam-6227	373	10	log	log	NOUN
ejpam-6227	373	11	1	1	NOUN
ejpam-6227	373	12	+	+	PROPN
ejpam-6227	373	13	n∏	n∏	PROPN
ejpam-6227	373	14	j=1	j=1	NOUN
ejpam-6227	373	15	(	(	PUNCT
ejpam-6227	373	16	β	β	NOUN
ejpam-6227	373	17	1−(max	1−(max	NUM
ejpam-6227	373	18	gj	gj	NOUN
ejpam-6227	373	19	)	)	PUNCT
ejpam-6227	373	20	−1)λj	−1)λj	PROPN
ejpam-6227	373	21	(	(	PUNCT
ejpam-6227	373	22	β−1)λj	β−1)λj	X
ejpam-6227	373	23	−1	−1	NOUN
ejpam-6227	373	24			ADJ
ejpam-6227	373	25	β	β	NOUN
ejpam-6227	373	26	;	;	PUNCT
ejpam-6227	373	27	1	1	NUM
ejpam-6227	373	28	-	-	NUM
ejpam-6227	373	29	log	log	NOUN
ejpam-6227	373	30	1	1	NOUN
ejpam-6227	373	31	+	+	PROPN
ejpam-6227	373	32	n∏	n∏	PROPN
ejpam-6227	373	33	j=1	j=1	NOUN
ejpam-6227	373	34	(	(	PUNCT
ejpam-6227	373	35	β	β	NOUN
ejpam-6227	373	36	1−hj	1−hj	NUM
ejpam-6227	373	37	−1)λj	−1)λj	NOUN
ejpam-6227	373	38	(	(	PUNCT
ejpam-6227	373	39	β−1)λj	β−1)λj	X
ejpam-6227	373	40	−1	−1	NOUN
ejpam-6227	373	41			SCONJ
ejpam-6227	373	42	β	β	X
ejpam-6227	373	43	≥	≥	NOUN
ejpam-6227	373	44	1	1	NUM
ejpam-6227	373	45	−	−	NOUN
ejpam-6227	373	46	log	log	NOUN
ejpam-6227	373	47	1	1	NOUN
ejpam-6227	373	48	+	+	PROPN
ejpam-6227	373	49	n∏	n∏	PROPN
ejpam-6227	373	50	j=1	j=1	NOUN
ejpam-6227	373	51	(	(	PUNCT
ejpam-6227	373	52	β	β	PROPN
ejpam-6227	373	53	1−(max	1−(max	NUM
ejpam-6227	373	54	hj	hj	PROPN
ejpam-6227	373	55	)	)	PUNCT
ejpam-6227	373	56	−1)λj	−1)λj	PROPN
ejpam-6227	373	57	(	(	PUNCT
ejpam-6227	373	58	β−1)λj	β−1)λj	X
ejpam-6227	373	59	−1	−1	NOUN
ejpam-6227	373	60			ADJ
ejpam-6227	373	61	β	β	NOUN
ejpam-6227	373	62	;	;	PUNCT
ejpam-6227	373	63	1	1	NUM
ejpam-6227	373	64	-	-	NUM
ejpam-6227	373	65	log	log	NOUN
ejpam-6227	373	66	1	1	NOUN
ejpam-6227	373	67	+	+	PROPN
ejpam-6227	373	68	n∏	n∏	PROPN
ejpam-6227	373	69	j=1	j=1	NOUN
ejpam-6227	373	70	(	(	PUNCT
ejpam-6227	373	71	β	β	X
ejpam-6227	373	72	1−lj	1−lj	NUM
ejpam-6227	373	73	−1)λj	−1)λj	PROPN
ejpam-6227	373	74	(	(	PUNCT
ejpam-6227	373	75	β−1)λj	β−1)λj	X
ejpam-6227	373	76	−1	−1	NOUN
ejpam-6227	373	77			SCONJ
ejpam-6227	373	78	β	β	X
ejpam-6227	373	79	≥	≥	NOUN
ejpam-6227	373	80	1	1	NUM
ejpam-6227	373	81	−	−	NOUN
ejpam-6227	373	82	log	log	NOUN
ejpam-6227	373	83	1	1	NOUN
ejpam-6227	373	84	+	+	PROPN
ejpam-6227	373	85	n∏	n∏	PROPN
ejpam-6227	373	86	j=1	j=1	NOUN
ejpam-6227	373	87	(	(	PUNCT
ejpam-6227	373	88	β	β	NOUN
ejpam-6227	373	89	1−(max	1−(max	NUM
ejpam-6227	373	90	lj	lj	X
ejpam-6227	373	91	)	)	PUNCT
ejpam-6227	373	92	−1)λj	−1)λj	PROPN
ejpam-6227	373	93	(	(	PUNCT
ejpam-6227	373	94	β−1)λj	β−1)λj	X
ejpam-6227	373	95	−1	−1	NOUN
ejpam-6227	373	96			PROPN
ejpam-6227	373	97	β	β	PROPN
ejpam-6227	373	98	tiffwg(y1	tiffwg(y1	NOUN
ejpam-6227	373	99	,	,	PUNCT
ejpam-6227	373	100	y2	y2	PROPN
ejpam-6227	373	101	,	,	PUNCT
ejpam-6227	373	102	...	...	PUNCT
ejpam-6227	373	103	,	,	PUNCT
ejpam-6227	373	104	ym	ym	PROPN
ejpam-6227	373	105	)	)	PUNCT
ejpam-6227	374	1	=	=	PUNCT
ejpam-6227	375	1	[	[	PUNCT
ejpam-6227	375	2	[	[	X
ejpam-6227	375	3	cj	cj	X
ejpam-6227	375	4	,	,	PUNCT
ejpam-6227	375	5	dj	dj	X
ejpam-6227	375	6	,	,	PUNCT
ejpam-6227	375	7	ej	ej	X
ejpam-6227	375	8	]	]	X
ejpam-6227	375	9	,	,	PUNCT
ejpam-6227	375	10	[	[	X
ejpam-6227	375	11	gj	gj	INTJ
ejpam-6227	375	12	,	,	PUNCT
ejpam-6227	375	13	hj	hj	PROPN
ejpam-6227	375	14	,	,	PUNCT
ejpam-6227	375	15	lj	lj	PROPN
ejpam-6227	375	16	]	]	PUNCT
ejpam-6227	375	17	]	]	PUNCT
ejpam-6227	375	18	s(y	s(y	PROPN
ejpam-6227	375	19	)	)	PUNCT
ejpam-6227	376	1	=	=	PUNCT
ejpam-6227	377	1	[	[	X
ejpam-6227	377	2	[	[	X
ejpam-6227	377	3	cj+dj+ej	cj+dj+ej	X
ejpam-6227	377	4	]	]	X
ejpam-6227	377	5	−[gj+hj+lj	−[gj+hj+lj	X
ejpam-6227	377	6	]	]	X
ejpam-6227	377	7	]	]	PUNCT
ejpam-6227	377	8	6	6	NUM
ejpam-6227	377	9	≤	≤	NOUN
ejpam-6227	378	1	[	[	X
ejpam-6227	378	2	[	[	X
ejpam-6227	378	3	maxj	maxj	ADJ
ejpam-6227	378	4	cj+maxj	cj+maxj	NOUN
ejpam-6227	378	5	dj+maxj	dj+maxj	NOUN
ejpam-6227	378	6	ej	ej	X
ejpam-6227	378	7	]	]	X
ejpam-6227	378	8	−[minj	−[minj	NOUN
ejpam-6227	378	9	gj+minj	gj+minj	PROPN
ejpam-6227	378	10	hj+minj	hj+minj	NOUN
ejpam-6227	378	11	lj	lj	ADV
ejpam-6227	378	12	]	]	X
ejpam-6227	378	13	]	]	X
ejpam-6227	378	14	6	6	NUM
ejpam-6227	378	15	=	=	SYM
ejpam-6227	378	16	s(y	s(y	PROPN
ejpam-6227	378	17	−	−	NOUN
ejpam-6227	378	18	)	)	PUNCT
ejpam-6227	378	19	s(y	s(y	PROPN
ejpam-6227	378	20	)	)	PUNCT
ejpam-6227	378	21	≤	≤	NUM
ejpam-6227	379	1	s(y	s(y	PROPN
ejpam-6227	379	2	−	−	PROPN
ejpam-6227	379	3	)	)	PUNCT
ejpam-6227	379	4	and	and	CCONJ
ejpam-6227	379	5	a.	a.	PROPN
ejpam-6227	379	6	fahmi	fahmi	PROPN
ejpam-6227	379	7	et	et	PROPN
ejpam-6227	379	8	al	al	PROPN
ejpam-6227	379	9	.	.	PUNCT
ejpam-6227	379	10	/	/	SYM
ejpam-6227	379	11	eur	eur	PROPN
ejpam-6227	379	12	.	.	PUNCT
ejpam-6227	380	1	j.	j.	PROPN
ejpam-6227	380	2	pure	pure	PROPN
ejpam-6227	380	3	appl	appl	PROPN
ejpam-6227	380	4	.	.	PROPN
ejpam-6227	380	5	math	math	PROPN
ejpam-6227	380	6	,	,	PUNCT
ejpam-6227	380	7	18	18	NUM
ejpam-6227	380	8	(	(	PUNCT
ejpam-6227	380	9	3	3	NUM
ejpam-6227	380	10	)	)	PUNCT
ejpam-6227	380	11	(	(	PUNCT
ejpam-6227	380	12	2025	2025	NUM
ejpam-6227	380	13	)	)	PUNCT
ejpam-6227	380	14	,	,	PUNCT
ejpam-6227	380	15	6227	6227	NUM
ejpam-6227	380	16	22	22	NUM
ejpam-6227	380	17	of	of	ADP
ejpam-6227	380	18	37	37	NUM
ejpam-6227	380	19	s(y	s(y	PROPN
ejpam-6227	380	20	)	)	PUNCT
ejpam-6227	381	1	=	=	PUNCT
ejpam-6227	382	1	[	[	X
ejpam-6227	382	2	[	[	X
ejpam-6227	382	3	cj+dj+ej	cj+dj+ej	X
ejpam-6227	382	4	]	]	X
ejpam-6227	382	5	−[gj+hj+lj	−[gj+hj+lj	X
ejpam-6227	382	6	]	]	X
ejpam-6227	382	7	]	]	X
ejpam-6227	382	8	6	6	NUM
ejpam-6227	382	9	≥	≥	NOUN
ejpam-6227	382	10	[	[	X
ejpam-6227	382	11	[	[	X
ejpam-6227	382	12	maxj	maxj	ADJ
ejpam-6227	382	13	cj+maxj	cj+maxj	NOUN
ejpam-6227	382	14	dj+maxj	dj+maxj	NOUN
ejpam-6227	382	15	ej	ej	X
ejpam-6227	382	16	]	]	X
ejpam-6227	382	17	−[minj	−[minj	NOUN
ejpam-6227	382	18	gj+minj	gj+minj	PROPN
ejpam-6227	382	19	hj+minj	hj+minj	NOUN
ejpam-6227	382	20	lj	lj	ADV
ejpam-6227	382	21	]	]	X
ejpam-6227	382	22	]	]	X
ejpam-6227	382	23	6	6	NUM
ejpam-6227	382	24	=	=	SYM
ejpam-6227	382	25	s(y	s(y	PROPN
ejpam-6227	382	26	+	+	NOUN
ejpam-6227	382	27	)	)	PUNCT
ejpam-6227	382	28	s(y	s(y	PROPN
ejpam-6227	382	29	)	)	PUNCT
ejpam-6227	382	30	≥	≥	NOUN
ejpam-6227	382	31	s(y	s(y	PROPN
ejpam-6227	382	32	+	+	PROPN
ejpam-6227	382	33	)	)	PUNCT
ejpam-6227	382	34	which	which	PRON
ejpam-6227	382	35	implies	imply	VERB
ejpam-6227	382	36	that	that	DET
ejpam-6227	382	37	tiffwg(y1	tiffwg(y1	NOUN
ejpam-6227	382	38	,	,	PUNCT
ejpam-6227	382	39	y2	y2	PROPN
ejpam-6227	382	40	,	,	PUNCT
ejpam-6227	382	41	...	...	PUNCT
ejpam-6227	382	42	,	,	PUNCT
ejpam-6227	382	43	ym	ym	PROPN
ejpam-6227	382	44	)	)	PUNCT
ejpam-6227	383	1	=	=	SYM
ejpam-6227	383	2	y	y	PROPN
ejpam-6227	383	3	−	−	PROPN
ejpam-6227	383	4	and	and	CCONJ
ejpam-6227	383	5	tiffwg(y1	tiffwg(y1	NOUN
ejpam-6227	383	6	,	,	PUNCT
ejpam-6227	383	7	y2	y2	PROPN
ejpam-6227	383	8	,	,	PUNCT
ejpam-6227	383	9	...	...	PUNCT
ejpam-6227	383	10	,	,	PUNCT
ejpam-6227	383	11	ym	ym	PROPN
ejpam-6227	383	12	)	)	PUNCT
ejpam-6227	384	1	=	=	SYM
ejpam-6227	384	2	y	y	PROPN
ejpam-6227	384	3	+	+	NOUN
ejpam-6227	384	4	4.5	4.5	NUM
ejpam-6227	384	5	.	.	PUNCT
ejpam-6227	384	6	tiffowg	tiffowg	NOUN
ejpam-6227	384	7	operator	operator	NOUN
ejpam-6227	384	8	definition	definition	NOUN
ejpam-6227	384	9	12	12	NUM
ejpam-6227	384	10	.	.	PUNCT
ejpam-6227	385	1	let	let	VERB
ejpam-6227	385	2	kj	kj	NOUN
ejpam-6227	386	1	=	=	PUNCT
ejpam-6227	387	1	[	[	PUNCT
ejpam-6227	387	2	[	[	X
ejpam-6227	387	3	cj	cj	X
ejpam-6227	387	4	,	,	PUNCT
ejpam-6227	387	5	dj	dj	X
ejpam-6227	387	6	,	,	PUNCT
ejpam-6227	387	7	ej	ej	X
ejpam-6227	387	8	]	]	X
ejpam-6227	387	9	,	,	PUNCT
ejpam-6227	387	10	[	[	X
ejpam-6227	387	11	gj	gj	INTJ
ejpam-6227	387	12	,	,	PUNCT
ejpam-6227	387	13	hj	hj	PROPN
ejpam-6227	387	14	,	,	PUNCT
ejpam-6227	387	15	lj	lj	PROPN
ejpam-6227	387	16	]	]	PUNCT
ejpam-6227	387	17	]	]	PUNCT
ejpam-6227	387	18	be	be	AUX
ejpam-6227	387	19	the	the	DET
ejpam-6227	387	20	gathering	gathering	NOUN
ejpam-6227	387	21	of	of	ADP
ejpam-6227	387	22	tifns	tifns	NOUN
ejpam-6227	387	23	and	and	CCONJ
ejpam-6227	387	24	the	the	DET
ejpam-6227	387	25	weight	weight	NOUN
ejpam-6227	387	26	vector	vector	NOUN
ejpam-6227	387	27	is	be	AUX
ejpam-6227	387	28	g	g	NOUN
ejpam-6227	387	29	=	=	PUNCT
ejpam-6227	387	30	(	(	PUNCT
ejpam-6227	387	31	g1	g1	PROPN
ejpam-6227	387	32	,	,	PUNCT
ejpam-6227	387	33	g2	g2	PROPN
ejpam-6227	387	34	,	,	PUNCT
ejpam-6227	387	35	...	...	PUNCT
ejpam-6227	387	36	,	,	PUNCT
ejpam-6227	387	37	gm)t	gm)t	VERB
ejpam-6227	387	38	with	with	ADP
ejpam-6227	387	39	gj	gj	PROPN
ejpam-6227	387	40	∈	∈	PROPN
ejpam-6227	388	1	[	[	X
ejpam-6227	388	2	0	0	NUM
ejpam-6227	388	3	,	,	PUNCT
ejpam-6227	388	4	1	1	NUM
ejpam-6227	388	5	]	]	PUNCT
ejpam-6227	388	6	and	and	CCONJ
ejpam-6227	388	7	m∑	m∑	ADV
ejpam-6227	388	8	j=1	j=1	PROPN
ejpam-6227	388	9	gj	gj	NOUN
ejpam-6227	388	10	=	=	NOUN
ejpam-6227	388	11	1	1	X
ejpam-6227	388	12	.	.	PUNCT
ejpam-6227	388	13	then	then	ADV
ejpam-6227	388	14	tiffowg	tiffowg	VERB
ejpam-6227	388	15	(	(	PUNCT
ejpam-6227	388	16	k1	k1	NOUN
ejpam-6227	388	17	,	,	PUNCT
ejpam-6227	388	18	k2	k2	NOUN
ejpam-6227	388	19	,	,	PUNCT
ejpam-6227	388	20	...	...	PUNCT
ejpam-6227	388	21	,	,	PUNCT
ejpam-6227	388	22	km	km	NOUN
ejpam-6227	388	23	)	)	PUNCT
ejpam-6227	388	24	=	=	SYM
ejpam-6227	389	1	m⊗	m⊗	NOUN
ejpam-6227	390	1	j=1	j=1	PROPN
ejpam-6227	391	1	k	k	PROPN
ejpam-6227	391	2	gj	gj	PROPN
ejpam-6227	391	3	j	j	PROPN
ejpam-6227	391	4	is	be	AUX
ejpam-6227	391	5	said	say	VERB
ejpam-6227	391	6	tiffowg	tiffowg	NOUN
ejpam-6227	391	7	operator	operator	NOUN
ejpam-6227	391	8	.	.	PUNCT
ejpam-6227	392	1	theorem	theorem	VERB
ejpam-6227	392	2	13	13	NUM
ejpam-6227	392	3	.	.	PUNCT
ejpam-6227	393	1	let	let	VERB
ejpam-6227	393	2	aj	aj	PROPN
ejpam-6227	393	3	=	=	PRON
ejpam-6227	394	1	[	[	PUNCT
ejpam-6227	394	2	[	[	X
ejpam-6227	394	3	cj	cj	X
ejpam-6227	394	4	,	,	PUNCT
ejpam-6227	394	5	dj	dj	X
ejpam-6227	394	6	,	,	PUNCT
ejpam-6227	394	7	ej	ej	X
ejpam-6227	394	8	]	]	X
ejpam-6227	394	9	,	,	PUNCT
ejpam-6227	394	10	[	[	X
ejpam-6227	394	11	gj	gj	INTJ
ejpam-6227	394	12	,	,	PUNCT
ejpam-6227	394	13	hj	hj	PROPN
ejpam-6227	394	14	,	,	PUNCT
ejpam-6227	394	15	lj	lj	PROPN
ejpam-6227	394	16	]	]	PUNCT
ejpam-6227	394	17	]	]	PUNCT
ejpam-6227	394	18	be	be	AUX
ejpam-6227	394	19	the	the	DET
ejpam-6227	394	20	collection	collection	NOUN
ejpam-6227	394	21	of	of	ADP
ejpam-6227	394	22	tifns	tifns	NOUN
ejpam-6227	394	23	and	and	CCONJ
ejpam-6227	394	24	the	the	DET
ejpam-6227	394	25	weight	weight	NOUN
ejpam-6227	394	26	vector	vector	NOUN
ejpam-6227	394	27	is	be	AUX
ejpam-6227	394	28	λ	λ	X
ejpam-6227	394	29	=	=	SYM
ejpam-6227	394	30	(	(	PUNCT
ejpam-6227	394	31	λ1	λ1	ADJ
ejpam-6227	394	32	,	,	PUNCT
ejpam-6227	394	33	λ2	λ2	NOUN
ejpam-6227	394	34	,	,	PUNCT
ejpam-6227	394	35	...	...	PUNCT
ejpam-6227	394	36	,	,	PUNCT
ejpam-6227	395	1	λn)t	λn)t	X
ejpam-6227	395	2	with	with	ADP
ejpam-6227	395	3	λj	λj	PROPN
ejpam-6227	395	4	∈	∈	PROPN
ejpam-6227	396	1	[	[	X
ejpam-6227	396	2	0	0	NUM
ejpam-6227	396	3	,	,	PUNCT
ejpam-6227	396	4	1	1	NUM
ejpam-6227	396	5	]	]	PUNCT
ejpam-6227	396	6	and	and	CCONJ
ejpam-6227	396	7	n∑	n∑	PROPN
ejpam-6227	396	8	j=1	j=1	NOUN
ejpam-6227	396	9	λj	λj	X
ejpam-6227	396	10	=	=	SYM
ejpam-6227	396	11	1	1	X
ejpam-6227	396	12	.	.	PUNCT
ejpam-6227	397	1	then	then	ADV
ejpam-6227	397	2	it	it	PRON
ejpam-6227	397	3	is	be	AUX
ejpam-6227	397	4	said	say	VERB
ejpam-6227	397	5	tiffowg	tiffowg	NOUN
ejpam-6227	397	6	operator	operator	NOUN
ejpam-6227	397	7	and	and	CCONJ
ejpam-6227	397	8	tiffowg(a1	tiffowg(a1	NOUN
ejpam-6227	397	9	,	,	PUNCT
ejpam-6227	397	10	a2	a2	PROPN
ejpam-6227	397	11	,	,	PUNCT
ejpam-6227	397	12	...	...	PUNCT
ejpam-6227	397	13	,	,	PUNCT
ejpam-6227	397	14	an	an	X
ejpam-6227	397	15	)	)	PUNCT
ejpam-6227	397	16	=	=	SYM
ejpam-6227	397	17	a.	a.	NOUN
ejpam-6227	397	18	fahmi	fahmi	PROPN
ejpam-6227	397	19	et	et	PROPN
ejpam-6227	397	20	al	al	PROPN
ejpam-6227	397	21	.	.	PUNCT
ejpam-6227	397	22	/	/	SYM
ejpam-6227	397	23	eur	eur	PROPN
ejpam-6227	397	24	.	.	PUNCT
ejpam-6227	398	1	j.	j.	PROPN
ejpam-6227	398	2	pure	pure	PROPN
ejpam-6227	398	3	appl	appl	PROPN
ejpam-6227	398	4	.	.	PROPN
ejpam-6227	398	5	math	math	PROPN
ejpam-6227	398	6	,	,	PUNCT
ejpam-6227	398	7	18	18	NUM
ejpam-6227	398	8	(	(	PUNCT
ejpam-6227	398	9	3	3	NUM
ejpam-6227	398	10	)	)	PUNCT
ejpam-6227	398	11	(	(	PUNCT
ejpam-6227	398	12	2025	2025	NUM
ejpam-6227	398	13	)	)	PUNCT
ejpam-6227	398	14	,	,	PUNCT
ejpam-6227	398	15	6227	6227	NUM
ejpam-6227	398	16	23	23	NUM
ejpam-6227	398	17	of	of	ADP
ejpam-6227	398	18	37	37	NUM
ejpam-6227	398	19			ADJ
ejpam-6227	398	20	log	log	NOUN
ejpam-6227	398	21	1	1	PROPN
ejpam-6227	398	22	+	+	PROPN
ejpam-6227	398	23	n∏	n∏	PROPN
ejpam-6227	398	24	j=1	j=1	NOUN
ejpam-6227	398	25	(	(	PUNCT
ejpam-6227	398	26	β	β	X
ejpam-6227	398	27	cj	cj	X
ejpam-6227	398	28	−1)λ	−1)λ	PUNCT
ejpam-6227	398	29	(	(	PUNCT
ejpam-6227	398	30	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	398	31			ADJ
ejpam-6227	398	32	β	β	NOUN
ejpam-6227	398	33	,	,	PUNCT
ejpam-6227	398	34	log	log	VERB
ejpam-6227	398	35	1	1	PROPN
ejpam-6227	398	36	+	+	PROPN
ejpam-6227	398	37	n∏	n∏	PROPN
ejpam-6227	398	38	j=1	j=1	NOUN
ejpam-6227	398	39	(	(	PUNCT
ejpam-6227	398	40	β	β	X
ejpam-6227	398	41	dj	dj	X
ejpam-6227	398	42	−1)λ	−1)λ	PUNCT
ejpam-6227	398	43	(	(	PUNCT
ejpam-6227	398	44	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	399	1			ADJ
ejpam-6227	399	2	β	β	NOUN
ejpam-6227	399	3	,	,	PUNCT
ejpam-6227	399	4	log	log	VERB
ejpam-6227	399	5	1	1	PROPN
ejpam-6227	399	6	+	+	PROPN
ejpam-6227	399	7	n∏	n∏	PROPN
ejpam-6227	399	8	j=1	j=1	NOUN
ejpam-6227	399	9	(	(	PUNCT
ejpam-6227	399	10	β	β	X
ejpam-6227	399	11	ej	ej	X
ejpam-6227	399	12	−1)λ	−1)λ	X
ejpam-6227	399	13	(	(	PUNCT
ejpam-6227	399	14	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	399	15			PRON
ejpam-6227	399	16	β	β	NOUN
ejpam-6227	399	17			NUM
ejpam-6227	399	18	,	,	PUNCT
ejpam-6227	399	19			ADJ
ejpam-6227	399	20	1	1	NUM
ejpam-6227	399	21	−	−	NOUN
ejpam-6227	399	22	log	log	NOUN
ejpam-6227	399	23	1	1	NOUN
ejpam-6227	399	24	+	+	PROPN
ejpam-6227	399	25	n∏	n∏	PROPN
ejpam-6227	399	26	j=1	j=1	NOUN
ejpam-6227	399	27	(	(	PUNCT
ejpam-6227	399	28	β	β	NOUN
ejpam-6227	399	29	1−gj	1−gj	NOUN
ejpam-6227	399	30	−1)λ	−1)λ	PUNCT
ejpam-6227	399	31	(	(	PUNCT
ejpam-6227	399	32	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	399	33			ADJ
ejpam-6227	399	34	β	β	NOUN
ejpam-6227	399	35	,	,	PUNCT
ejpam-6227	399	36	1	1	NUM
ejpam-6227	399	37	−	−	NOUN
ejpam-6227	399	38	log	log	NOUN
ejpam-6227	399	39	1	1	NOUN
ejpam-6227	399	40	+	+	PROPN
ejpam-6227	399	41	n∏	n∏	PROPN
ejpam-6227	399	42	j=1	j=1	NOUN
ejpam-6227	399	43	(	(	PUNCT
ejpam-6227	399	44	β	β	NOUN
ejpam-6227	399	45	1−hj	1−hj	NUM
ejpam-6227	399	46	−1)λ	−1)λ	PUNCT
ejpam-6227	399	47	(	(	PUNCT
ejpam-6227	399	48	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	399	49			ADJ
ejpam-6227	399	50	β	β	NOUN
ejpam-6227	399	51	,	,	PUNCT
ejpam-6227	399	52	1	1	NUM
ejpam-6227	399	53	−	−	NOUN
ejpam-6227	399	54	log	log	NOUN
ejpam-6227	399	55	1	1	NOUN
ejpam-6227	399	56	+	+	PROPN
ejpam-6227	399	57	n∏	n∏	PROPN
ejpam-6227	399	58	j=1	j=1	NOUN
ejpam-6227	399	59	(	(	PUNCT
ejpam-6227	399	60	β	β	X
ejpam-6227	399	61	1−lj	1−lj	NUM
ejpam-6227	399	62	−1)λ	−1)λ	PUNCT
ejpam-6227	399	63	(	(	PUNCT
ejpam-6227	399	64	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	399	65			PRON
ejpam-6227	399	66	β	β	X
ejpam-6227	399	67			NOUN
ejpam-6227	399	68			NOUN
ejpam-6227	399	69	.	.	PUNCT
ejpam-6227	400	1	proof	proof	NOUN
ejpam-6227	400	2	:	:	PUNCT
ejpam-6227	400	3	this	this	DET
ejpam-6227	400	4	proof	proof	NOUN
ejpam-6227	400	5	is	be	AUX
ejpam-6227	400	6	the	the	DET
ejpam-6227	400	7	same	same	ADJ
ejpam-6227	400	8	as	as	ADP
ejpam-6227	400	9	in	in	ADP
ejpam-6227	400	10	theorem	theorem	ADJ
ejpam-6227	400	11	10	10	NUM
ejpam-6227	400	12	.	.	PUNCT
ejpam-6227	401	1	theorem	theorem	VERB
ejpam-6227	401	2	14	14	NUM
ejpam-6227	401	3	.	.	PUNCT
ejpam-6227	402	1	(	(	PUNCT
ejpam-6227	402	2	idempotency):if	idempotency):if	ADV
ejpam-6227	402	3	b̃u	b̃u	NOUN
ejpam-6227	403	1	=	=	X
ejpam-6227	403	2	[	[	PUNCT
ejpam-6227	403	3	[	[	X
ejpam-6227	403	4	cj	cj	X
ejpam-6227	403	5	,	,	PUNCT
ejpam-6227	403	6	dj	dj	X
ejpam-6227	403	7	,	,	PUNCT
ejpam-6227	403	8	ej	ej	X
ejpam-6227	403	9	]	]	X
ejpam-6227	403	10	,	,	PUNCT
ejpam-6227	403	11	[	[	X
ejpam-6227	403	12	gj	gj	INTJ
ejpam-6227	403	13	,	,	PUNCT
ejpam-6227	403	14	hj	hj	PROPN
ejpam-6227	403	15	,	,	PUNCT
ejpam-6227	403	16	lj	lj	PROPN
ejpam-6227	403	17	]	]	PUNCT
ejpam-6227	403	18	]	]	PUNCT
ejpam-6227	403	19	for	for	ADP
ejpam-6227	403	20	all	all	DET
ejpam-6227	403	21	r	r	NOUN
ejpam-6227	403	22	=	=	SYM
ejpam-6227	403	23	1	1	NUM
ejpam-6227	403	24	,	,	PUNCT
ejpam-6227	403	25	2	2	NUM
ejpam-6227	403	26	,	,	PUNCT
ejpam-6227	403	27	3	3	NUM
ejpam-6227	403	28	,	,	PUNCT
ejpam-6227	403	29	...	...	PUNCT
ejpam-6227	403	30	,	,	PUNCT
ejpam-6227	403	31	m	m	PROPN
ejpam-6227	403	32	,	,	PUNCT
ejpam-6227	403	33	then	then	ADV
ejpam-6227	403	34	tiffowg(bu	tiffowg(bu	PROPN
ejpam-6227	403	35	,	,	PUNCT
ejpam-6227	403	36	bu	bu	ADP
ejpam-6227	403	37	,	,	PUNCT
ejpam-6227	403	38	bu	bu	ADP
ejpam-6227	403	39	,	,	PUNCT
ejpam-6227	403	40	...	...	PUNCT
ejpam-6227	403	41	,	,	PUNCT
ejpam-6227	403	42	bu	bu	ADJ
ejpam-6227	403	43	)	)	PUNCT
ejpam-6227	403	44	=	=	SYM
ejpam-6227	404	1	bu	bu	PROPN
ejpam-6227	404	2	.	.	PUNCT
ejpam-6227	405	1	this	this	DET
ejpam-6227	405	2	proof	proof	NOUN
ejpam-6227	405	3	is	be	AUX
ejpam-6227	405	4	the	the	DET
ejpam-6227	405	5	same	same	ADJ
ejpam-6227	405	6	as	as	ADP
ejpam-6227	405	7	in	in	ADP
ejpam-6227	405	8	theorem	theorem	NOUN
ejpam-6227	405	9	11	11	NUM
ejpam-6227	405	10	.	.	PUNCT
ejpam-6227	406	1	theorem	theorem	VERB
ejpam-6227	406	2	15	15	NUM
ejpam-6227	406	3	.	.	PUNCT
ejpam-6227	407	1	(	(	PUNCT
ejpam-6227	407	2	boundedness):if	boundedness):if	VERB
ejpam-6227	407	3	y	y	NOUN
ejpam-6227	408	1	−	−	PROPN
ejpam-6227	409	1	=	=	SYM
ejpam-6227	410	1	min(f1	min(f1	PROPN
ejpam-6227	410	2	,	,	PUNCT
ejpam-6227	410	3	f2	f2	PROPN
ejpam-6227	410	4	,	,	PUNCT
ejpam-6227	410	5	...	...	PUNCT
ejpam-6227	410	6	,	,	PUNCT
ejpam-6227	410	7	fm	fm	PROPN
ejpam-6227	410	8	)	)	PUNCT
ejpam-6227	410	9	,	,	PUNCT
ejpam-6227	410	10	y	y	PROPN
ejpam-6227	411	1	+	+	NUM
ejpam-6227	411	2	=	=	SYM
ejpam-6227	411	3	max(f1	max(f1	PROPN
ejpam-6227	411	4	,	,	PUNCT
ejpam-6227	411	5	f2	f2	PROPN
ejpam-6227	411	6	,	,	PUNCT
ejpam-6227	411	7	...	...	PUNCT
ejpam-6227	411	8	,	,	PUNCT
ejpam-6227	411	9	fm	fm	PROPN
ejpam-6227	411	10	)	)	PUNCT
ejpam-6227	411	11	,	,	PUNCT
ejpam-6227	411	12	then	then	ADV
ejpam-6227	411	13	y	y	PROPN
ejpam-6227	411	14	−	−	PROPN
ejpam-6227	411	15	≤	≤	PROPN
ejpam-6227	411	16	tiffowg(f1	tiffowg(f1	NOUN
ejpam-6227	411	17	,	,	PUNCT
ejpam-6227	411	18	f2	f2	PROPN
ejpam-6227	411	19	,	,	PUNCT
ejpam-6227	411	20	...	...	PUNCT
ejpam-6227	411	21	,	,	PUNCT
ejpam-6227	411	22	fm	fm	PROPN
ejpam-6227	411	23	)	)	PUNCT
ejpam-6227	411	24	≤	≤	NOUN
ejpam-6227	411	25	y	y	PROPN
ejpam-6227	412	1	+	+	PROPN
ejpam-6227	412	2	.	.	PUNCT
ejpam-6227	413	1	this	this	DET
ejpam-6227	413	2	proof	proof	NOUN
ejpam-6227	413	3	is	be	AUX
ejpam-6227	413	4	the	the	DET
ejpam-6227	413	5	same	same	ADJ
ejpam-6227	413	6	as	as	ADP
ejpam-6227	413	7	in	in	ADP
ejpam-6227	413	8	theorem	theorem	NOUN
ejpam-6227	413	9	12	12	NUM
ejpam-6227	413	10	.	.	PUNCT
ejpam-6227	414	1	4.6	4.6	NUM
ejpam-6227	414	2	.	.	PUNCT
ejpam-6227	415	1	tiffhwg	tiffhwg	NOUN
ejpam-6227	415	2	operator	operator	NOUN
ejpam-6227	415	3	definition	definition	NOUN
ejpam-6227	415	4	13	13	NUM
ejpam-6227	415	5	.	.	PUNCT
ejpam-6227	416	1	the	the	DET
ejpam-6227	416	2	gathering	gathering	NOUN
ejpam-6227	416	3	of	of	ADP
ejpam-6227	416	4	tifns	tifns	NOUN
ejpam-6227	416	5	are	be	AUX
ejpam-6227	416	6	fj	fj	INTJ
ejpam-6227	416	7	=	=	PUNCT
ejpam-6227	417	1	[	[	PUNCT
ejpam-6227	417	2	[	[	X
ejpam-6227	417	3	cj	cj	X
ejpam-6227	417	4	,	,	PUNCT
ejpam-6227	417	5	dj	dj	X
ejpam-6227	417	6	,	,	PUNCT
ejpam-6227	417	7	ej	ej	X
ejpam-6227	417	8	]	]	X
ejpam-6227	417	9	,	,	PUNCT
ejpam-6227	417	10	[	[	X
ejpam-6227	417	11	gj	gj	INTJ
ejpam-6227	417	12	,	,	PUNCT
ejpam-6227	417	13	hj	hj	PROPN
ejpam-6227	417	14	,	,	PUNCT
ejpam-6227	417	15	lj	lj	PROPN
ejpam-6227	417	16	]	]	PUNCT
ejpam-6227	417	17	]	]	PUNCT
ejpam-6227	417	18	and	and	CCONJ
ejpam-6227	417	19	the	the	DET
ejpam-6227	417	20	weight	weight	NOUN
ejpam-6227	417	21	vector	vector	NOUN
ejpam-6227	417	22	is	be	AUX
ejpam-6227	417	23	u	u	NOUN
ejpam-6227	417	24	=	=	PUNCT
ejpam-6227	417	25	(	(	PUNCT
ejpam-6227	417	26	u1	u1	PROPN
ejpam-6227	417	27	,	,	PUNCT
ejpam-6227	417	28	u2	u2	NOUN
ejpam-6227	417	29	,	,	PUNCT
ejpam-6227	417	30	...	...	PUNCT
ejpam-6227	417	31	,	,	PUNCT
ejpam-6227	417	32	un)t	un)t	PROPN
ejpam-6227	417	33	with	with	ADP
ejpam-6227	417	34	uj	uj	PROPN
ejpam-6227	417	35	∈	∈	PROPN
ejpam-6227	418	1	[	[	X
ejpam-6227	418	2	0	0	NUM
ejpam-6227	418	3	,	,	PUNCT
ejpam-6227	418	4	1	1	NUM
ejpam-6227	418	5	]	]	PUNCT
ejpam-6227	418	6	and	and	CCONJ
ejpam-6227	418	7	n∑	n∑	PROPN
ejpam-6227	418	8	j=1	j=1	PROPN
ejpam-6227	418	9	uj	uj	PROPN
ejpam-6227	418	10	=	=	SYM
ejpam-6227	418	11	1	1	PROPN
ejpam-6227	418	12	,	,	PUNCT
ejpam-6227	418	13	the	the	DET
ejpam-6227	418	14	associated	associated	ADJ
ejpam-6227	418	15	vector	vector	NOUN
ejpam-6227	418	16	is	be	AUX
ejpam-6227	418	17	u	u	NOUN
ejpam-6227	418	18	=	=	PUNCT
ejpam-6227	418	19	(	(	PUNCT
ejpam-6227	418	20	u1	u1	PROPN
ejpam-6227	418	21	,	,	PUNCT
ejpam-6227	418	22	u2	u2	NOUN
ejpam-6227	418	23	,	,	PUNCT
ejpam-6227	418	24	...	...	PUNCT
ejpam-6227	418	25	,	,	PUNCT
ejpam-6227	418	26	un)t	un)t	PROPN
ejpam-6227	418	27	a.	a.	NOUN
ejpam-6227	418	28	fahmi	fahmi	PROPN
ejpam-6227	418	29	et	et	PROPN
ejpam-6227	418	30	al	al	PROPN
ejpam-6227	418	31	.	.	PUNCT
ejpam-6227	418	32	/	/	SYM
ejpam-6227	418	33	eur	eur	PROPN
ejpam-6227	418	34	.	.	PUNCT
ejpam-6227	419	1	j.	j.	PROPN
ejpam-6227	419	2	pure	pure	PROPN
ejpam-6227	419	3	appl	appl	PROPN
ejpam-6227	419	4	.	.	PROPN
ejpam-6227	419	5	math	math	PROPN
ejpam-6227	419	6	,	,	PUNCT
ejpam-6227	419	7	18	18	NUM
ejpam-6227	419	8	(	(	PUNCT
ejpam-6227	419	9	3	3	NUM
ejpam-6227	419	10	)	)	PUNCT
ejpam-6227	419	11	(	(	PUNCT
ejpam-6227	419	12	2025	2025	NUM
ejpam-6227	419	13	)	)	PUNCT
ejpam-6227	419	14	,	,	PUNCT
ejpam-6227	419	15	6227	6227	NUM
ejpam-6227	419	16	24	24	NUM
ejpam-6227	419	17	of	of	ADP
ejpam-6227	419	18	37	37	NUM
ejpam-6227	419	19	with	with	ADP
ejpam-6227	419	20	uj	uj	PROPN
ejpam-6227	419	21	∈	∈	PROPN
ejpam-6227	420	1	[	[	X
ejpam-6227	420	2	0	0	NUM
ejpam-6227	420	3	,	,	PUNCT
ejpam-6227	420	4	1	1	NUM
ejpam-6227	420	5	]	]	PUNCT
ejpam-6227	420	6	and	and	CCONJ
ejpam-6227	420	7	n∑	n∑	PROPN
ejpam-6227	420	8	j=1	j=1	PROPN
ejpam-6227	420	9	uj	uj	PROPN
ejpam-6227	420	10	=	=	NOUN
ejpam-6227	420	11	1	1	X
ejpam-6227	420	12	.	.	PUNCT
ejpam-6227	420	13	then	then	ADV
ejpam-6227	420	14	tiffhwg	tiffhwg	VERB
ejpam-6227	420	15	(	(	PUNCT
ejpam-6227	420	16	f1	f1	PROPN
ejpam-6227	420	17	,	,	PUNCT
ejpam-6227	420	18	f2	f2	PROPN
ejpam-6227	420	19	,	,	PUNCT
ejpam-6227	420	20	...	...	PUNCT
ejpam-6227	420	21	,	,	PUNCT
ejpam-6227	420	22	fn	fn	NOUN
ejpam-6227	420	23	)	)	PUNCT
ejpam-6227	420	24	=	=	SYM
ejpam-6227	420	25	m⊗	m⊗	NOUN
ejpam-6227	421	1	j=1	j=1	PROPN
ejpam-6227	421	2	f	f	PROPN
ejpam-6227	421	3	uj	uj	PROPN
ejpam-6227	421	4	j	j	PROPN
ejpam-6227	421	5	is	be	AUX
ejpam-6227	421	6	said	say	VERB
ejpam-6227	421	7	tiffhwg	tiffhwg	NOUN
ejpam-6227	421	8	operator	operator	NOUN
ejpam-6227	421	9	.	.	PUNCT
ejpam-6227	422	1	theorem	theorem	VERB
ejpam-6227	422	2	16	16	NUM
ejpam-6227	422	3	.	.	PUNCT
ejpam-6227	423	1	let	let	VERB
ejpam-6227	423	2	aj	aj	PROPN
ejpam-6227	423	3	=	=	PRON
ejpam-6227	424	1	[	[	PUNCT
ejpam-6227	424	2	[	[	X
ejpam-6227	424	3	cj	cj	X
ejpam-6227	424	4	,	,	PUNCT
ejpam-6227	424	5	dj	dj	X
ejpam-6227	424	6	,	,	PUNCT
ejpam-6227	424	7	ej	ej	X
ejpam-6227	424	8	]	]	X
ejpam-6227	424	9	,	,	PUNCT
ejpam-6227	424	10	[	[	X
ejpam-6227	424	11	gj	gj	INTJ
ejpam-6227	424	12	,	,	PUNCT
ejpam-6227	424	13	hj	hj	PROPN
ejpam-6227	424	14	,	,	PUNCT
ejpam-6227	424	15	lj	lj	PROPN
ejpam-6227	424	16	]	]	PUNCT
ejpam-6227	424	17	]	]	PUNCT
ejpam-6227	424	18	be	be	AUX
ejpam-6227	424	19	the	the	DET
ejpam-6227	424	20	collection	collection	NOUN
ejpam-6227	424	21	of	of	ADP
ejpam-6227	424	22	tifns	tifns	NOUN
ejpam-6227	424	23	and	and	CCONJ
ejpam-6227	424	24	the	the	DET
ejpam-6227	424	25	weight	weight	NOUN
ejpam-6227	424	26	vector	vector	NOUN
ejpam-6227	424	27	is	be	AUX
ejpam-6227	424	28	λ	λ	X
ejpam-6227	424	29	=	=	SYM
ejpam-6227	424	30	(	(	PUNCT
ejpam-6227	424	31	λ1	λ1	ADJ
ejpam-6227	424	32	,	,	PUNCT
ejpam-6227	424	33	λ2	λ2	NOUN
ejpam-6227	424	34	,	,	PUNCT
ejpam-6227	424	35	...	...	PUNCT
ejpam-6227	424	36	,	,	PUNCT
ejpam-6227	425	1	λn)t	λn)t	X
ejpam-6227	425	2	with	with	ADP
ejpam-6227	425	3	λj	λj	PROPN
ejpam-6227	425	4	∈	∈	PROPN
ejpam-6227	426	1	[	[	X
ejpam-6227	426	2	0	0	NUM
ejpam-6227	426	3	,	,	PUNCT
ejpam-6227	426	4	1	1	NUM
ejpam-6227	426	5	]	]	PUNCT
ejpam-6227	426	6	and	and	CCONJ
ejpam-6227	426	7	n∑	n∑	PROPN
ejpam-6227	426	8	j=1	j=1	NOUN
ejpam-6227	426	9	λj	λj	X
ejpam-6227	426	10	=	=	SYM
ejpam-6227	426	11	1	1	X
ejpam-6227	426	12	.	.	PUNCT
ejpam-6227	427	1	then	then	ADV
ejpam-6227	427	2	it	it	PRON
ejpam-6227	427	3	is	be	AUX
ejpam-6227	427	4	said	say	VERB
ejpam-6227	427	5	tiffhwg	tiffhwg	NOUN
ejpam-6227	427	6	operator	operator	NOUN
ejpam-6227	427	7	and	and	CCONJ
ejpam-6227	427	8	tiffhwg(a1	tiffhwg(a1	PROPN
ejpam-6227	427	9	,	,	PUNCT
ejpam-6227	427	10	a2	a2	PROPN
ejpam-6227	427	11	,	,	PUNCT
ejpam-6227	427	12	...	...	PUNCT
ejpam-6227	427	13	,	,	PUNCT
ejpam-6227	427	14	an	an	X
ejpam-6227	427	15	)	)	PUNCT
ejpam-6227	427	16	=	=	NOUN
ejpam-6227	427	17			NOUN
ejpam-6227	427	18			ADJ
ejpam-6227	427	19	log	log	NOUN
ejpam-6227	427	20	1	1	PROPN
ejpam-6227	427	21	+	+	PROPN
ejpam-6227	427	22	n∏	n∏	PROPN
ejpam-6227	427	23	j=1	j=1	NOUN
ejpam-6227	427	24	(	(	PUNCT
ejpam-6227	427	25	β	β	X
ejpam-6227	427	26	cj	cj	X
ejpam-6227	427	27	−1)λ	−1)λ	PUNCT
ejpam-6227	427	28	(	(	PUNCT
ejpam-6227	427	29	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	427	30			ADJ
ejpam-6227	427	31	β	β	NOUN
ejpam-6227	427	32	,	,	PUNCT
ejpam-6227	427	33	log	log	VERB
ejpam-6227	427	34	1	1	PROPN
ejpam-6227	427	35	+	+	PROPN
ejpam-6227	427	36	n∏	n∏	PROPN
ejpam-6227	427	37	j=1	j=1	NOUN
ejpam-6227	427	38	(	(	PUNCT
ejpam-6227	427	39	β	β	X
ejpam-6227	427	40	dj	dj	X
ejpam-6227	427	41	−1)λ	−1)λ	PUNCT
ejpam-6227	427	42	(	(	PUNCT
ejpam-6227	427	43	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	428	1			ADJ
ejpam-6227	428	2	β	β	NOUN
ejpam-6227	428	3	,	,	PUNCT
ejpam-6227	428	4	log	log	VERB
ejpam-6227	428	5	1	1	PROPN
ejpam-6227	428	6	+	+	PROPN
ejpam-6227	428	7	n∏	n∏	PROPN
ejpam-6227	428	8	j=1	j=1	NOUN
ejpam-6227	428	9	(	(	PUNCT
ejpam-6227	428	10	β	β	X
ejpam-6227	428	11	ej	ej	X
ejpam-6227	428	12	−1)λ	−1)λ	X
ejpam-6227	428	13	(	(	PUNCT
ejpam-6227	428	14	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	428	15			PRON
ejpam-6227	428	16	β	β	NOUN
ejpam-6227	428	17			NUM
ejpam-6227	428	18	,	,	PUNCT
ejpam-6227	428	19			ADJ
ejpam-6227	428	20	1	1	NUM
ejpam-6227	428	21	−	−	NOUN
ejpam-6227	428	22	log	log	NOUN
ejpam-6227	428	23	1	1	NOUN
ejpam-6227	428	24	+	+	PROPN
ejpam-6227	428	25	n∏	n∏	PROPN
ejpam-6227	428	26	j=1	j=1	NOUN
ejpam-6227	428	27	(	(	PUNCT
ejpam-6227	428	28	β	β	NOUN
ejpam-6227	428	29	1−gj	1−gj	NOUN
ejpam-6227	428	30	−1)λ	−1)λ	PUNCT
ejpam-6227	428	31	(	(	PUNCT
ejpam-6227	428	32	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	428	33			ADJ
ejpam-6227	428	34	β	β	NOUN
ejpam-6227	428	35	,	,	PUNCT
ejpam-6227	428	36	1	1	NUM
ejpam-6227	428	37	−	−	NOUN
ejpam-6227	428	38	log	log	NOUN
ejpam-6227	428	39	1	1	NOUN
ejpam-6227	428	40	+	+	PROPN
ejpam-6227	428	41	n∏	n∏	PROPN
ejpam-6227	428	42	j=1	j=1	NOUN
ejpam-6227	428	43	(	(	PUNCT
ejpam-6227	428	44	β	β	NOUN
ejpam-6227	428	45	1−hj	1−hj	NUM
ejpam-6227	428	46	−1)λ	−1)λ	PUNCT
ejpam-6227	428	47	(	(	PUNCT
ejpam-6227	428	48	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	428	49			ADJ
ejpam-6227	428	50	β	β	NOUN
ejpam-6227	428	51	,	,	PUNCT
ejpam-6227	428	52	1	1	NUM
ejpam-6227	428	53	−	−	NOUN
ejpam-6227	428	54	log	log	NOUN
ejpam-6227	428	55	1	1	NOUN
ejpam-6227	428	56	+	+	PROPN
ejpam-6227	428	57	n∏	n∏	PROPN
ejpam-6227	428	58	j=1	j=1	NOUN
ejpam-6227	428	59	(	(	PUNCT
ejpam-6227	428	60	β	β	X
ejpam-6227	428	61	1−lj	1−lj	NUM
ejpam-6227	428	62	−1)λ	−1)λ	PUNCT
ejpam-6227	428	63	(	(	PUNCT
ejpam-6227	428	64	β−1)λ−1	β−1)λ−1	PROPN
ejpam-6227	428	65			PRON
ejpam-6227	428	66	β	β	X
ejpam-6227	428	67			NOUN
ejpam-6227	428	68			NOUN
ejpam-6227	428	69	.	.	PUNCT
ejpam-6227	429	1	proof	proof	NOUN
ejpam-6227	429	2	:	:	PUNCT
ejpam-6227	429	3	this	this	DET
ejpam-6227	429	4	proof	proof	NOUN
ejpam-6227	429	5	is	be	AUX
ejpam-6227	429	6	the	the	DET
ejpam-6227	429	7	same	same	ADJ
ejpam-6227	429	8	as	as	ADP
ejpam-6227	429	9	in	in	ADP
ejpam-6227	429	10	theorem	theorem	ADJ
ejpam-6227	429	11	10	10	NUM
ejpam-6227	429	12	.	.	PUNCT
ejpam-6227	430	1	theorem	theorem	VERB
ejpam-6227	430	2	17	17	NUM
ejpam-6227	430	3	.	.	PUNCT
ejpam-6227	431	1	(	(	PUNCT
ejpam-6227	431	2	idempotency):if	idempotency):if	INTJ
ejpam-6227	431	3	ã	ã	PROPN
ejpam-6227	432	1	=	=	PRON
ejpam-6227	433	1	[	[	PUNCT
ejpam-6227	433	2	[	[	X
ejpam-6227	433	3	cj	cj	X
ejpam-6227	433	4	,	,	PUNCT
ejpam-6227	433	5	dj	dj	X
ejpam-6227	433	6	,	,	PUNCT
ejpam-6227	433	7	ej	ej	X
ejpam-6227	433	8	]	]	X
ejpam-6227	433	9	,	,	PUNCT
ejpam-6227	433	10	[	[	X
ejpam-6227	433	11	gj	gj	INTJ
ejpam-6227	433	12	,	,	PUNCT
ejpam-6227	433	13	hj	hj	PROPN
ejpam-6227	433	14	,	,	PUNCT
ejpam-6227	433	15	lj	lj	PROPN
ejpam-6227	433	16	]	]	PUNCT
ejpam-6227	433	17	]	]	PUNCT
ejpam-6227	433	18	for	for	ADP
ejpam-6227	433	19	all	all	DET
ejpam-6227	433	20	r	r	NOUN
ejpam-6227	433	21	=	=	SYM
ejpam-6227	433	22	1	1	NUM
ejpam-6227	433	23	,	,	PUNCT
ejpam-6227	433	24	2	2	NUM
ejpam-6227	433	25	,	,	PUNCT
ejpam-6227	433	26	3	3	NUM
ejpam-6227	433	27	,	,	PUNCT
ejpam-6227	433	28	...	...	PUNCT
ejpam-6227	433	29	,	,	PUNCT
ejpam-6227	433	30	m	m	PROPN
ejpam-6227	433	31	,	,	PUNCT
ejpam-6227	433	32	then	then	ADV
ejpam-6227	433	33	tiffhwg(ã	tiffhwg(ã	PROPN
ejpam-6227	433	34	,	,	PUNCT
ejpam-6227	433	35	ã	ã	PROPN
ejpam-6227	433	36	,	,	PUNCT
ejpam-6227	433	37	ã	ã	PROPN
ejpam-6227	433	38	,	,	PUNCT
ejpam-6227	433	39	...	...	PUNCT
ejpam-6227	433	40	,	,	PUNCT
ejpam-6227	433	41	ã	ã	PROPN
ejpam-6227	433	42	)	)	PUNCT
ejpam-6227	433	43	=	=	SYM
ejpam-6227	434	1	ã.	ã.	NOUN
ejpam-6227	434	2	proof	proof	NOUN
ejpam-6227	434	3	:	:	PUNCT
ejpam-6227	434	4	this	this	DET
ejpam-6227	434	5	proof	proof	NOUN
ejpam-6227	434	6	is	be	AUX
ejpam-6227	434	7	the	the	DET
ejpam-6227	434	8	same	same	ADJ
ejpam-6227	434	9	as	as	ADP
ejpam-6227	434	10	in	in	ADP
ejpam-6227	434	11	theorem	theorem	NOUN
ejpam-6227	434	12	11	11	NUM
ejpam-6227	434	13	.	.	PUNCT
ejpam-6227	435	1	a.	a.	PROPN
ejpam-6227	435	2	fahmi	fahmi	PROPN
ejpam-6227	435	3	et	et	PROPN
ejpam-6227	435	4	al	al	PROPN
ejpam-6227	435	5	.	.	PUNCT
ejpam-6227	435	6	/	/	SYM
ejpam-6227	435	7	eur	eur	PROPN
ejpam-6227	435	8	.	.	PUNCT
ejpam-6227	436	1	j.	j.	PROPN
ejpam-6227	436	2	pure	pure	PROPN
ejpam-6227	436	3	appl	appl	PROPN
ejpam-6227	436	4	.	.	PROPN
ejpam-6227	436	5	math	math	PROPN
ejpam-6227	436	6	,	,	PUNCT
ejpam-6227	436	7	18	18	NUM
ejpam-6227	436	8	(	(	PUNCT
ejpam-6227	436	9	3	3	NUM
ejpam-6227	436	10	)	)	PUNCT
ejpam-6227	436	11	(	(	PUNCT
ejpam-6227	436	12	2025	2025	NUM
ejpam-6227	436	13	)	)	PUNCT
ejpam-6227	436	14	,	,	PUNCT
ejpam-6227	436	15	6227	6227	NUM
ejpam-6227	436	16	25	25	NUM
ejpam-6227	436	17	of	of	ADP
ejpam-6227	436	18	37	37	NUM
ejpam-6227	436	19	theorem	theorem	VERB
ejpam-6227	436	20	18	18	NUM
ejpam-6227	436	21	.	.	PUNCT
ejpam-6227	437	1	(	(	PUNCT
ejpam-6227	437	2	boundedness):if	boundedness):if	VERB
ejpam-6227	437	3	y	y	NOUN
ejpam-6227	438	1	−	−	PROPN
ejpam-6227	439	1	=	=	SYM
ejpam-6227	440	1	min(f1	min(f1	PROPN
ejpam-6227	440	2	,	,	PUNCT
ejpam-6227	440	3	f2	f2	PROPN
ejpam-6227	440	4	,	,	PUNCT
ejpam-6227	440	5	...	...	PUNCT
ejpam-6227	440	6	,	,	PUNCT
ejpam-6227	440	7	fn	fn	NOUN
ejpam-6227	440	8	)	)	PUNCT
ejpam-6227	440	9	,	,	PUNCT
ejpam-6227	440	10	y	y	PROPN
ejpam-6227	441	1	+	+	NUM
ejpam-6227	441	2	=	=	SYM
ejpam-6227	441	3	max(f1	max(f1	PROPN
ejpam-6227	441	4	,	,	PUNCT
ejpam-6227	441	5	f2	f2	PROPN
ejpam-6227	441	6	,	,	PUNCT
ejpam-6227	441	7	...	...	PUNCT
ejpam-6227	441	8	,	,	PUNCT
ejpam-6227	441	9	fn	fn	NOUN
ejpam-6227	441	10	)	)	PUNCT
ejpam-6227	441	11	,	,	PUNCT
ejpam-6227	441	12	then	then	ADV
ejpam-6227	441	13	y	y	PROPN
ejpam-6227	441	14	−	−	PROPN
ejpam-6227	441	15	≤	≤	PROPN
ejpam-6227	441	16	tiffhwg(f1	tiffhwg(f1	X
ejpam-6227	441	17	,	,	PUNCT
ejpam-6227	441	18	f2	f2	PROPN
ejpam-6227	441	19	,	,	PUNCT
ejpam-6227	441	20	...	...	PUNCT
ejpam-6227	441	21	,	,	PUNCT
ejpam-6227	441	22	fn	fn	NOUN
ejpam-6227	441	23	)	)	PUNCT
ejpam-6227	441	24	≤	≤	NOUN
ejpam-6227	441	25	y	y	PROPN
ejpam-6227	442	1	+	+	PROPN
ejpam-6227	442	2	.	.	PUNCT
ejpam-6227	442	3	proof	proof	NOUN
ejpam-6227	442	4	:	:	PUNCT
ejpam-6227	442	5	this	this	DET
ejpam-6227	442	6	proof	proof	NOUN
ejpam-6227	442	7	is	be	AUX
ejpam-6227	442	8	the	the	DET
ejpam-6227	442	9	same	same	ADJ
ejpam-6227	442	10	as	as	ADP
ejpam-6227	442	11	in	in	ADP
ejpam-6227	442	12	theorem	theorem	NOUN
ejpam-6227	442	13	12	12	NUM
ejpam-6227	442	14	.	.	PUNCT
ejpam-6227	443	1	5	5	NUM
ejpam-6227	443	2	.	.	NUM
ejpam-6227	443	3	proposed	propose	VERB
ejpam-6227	443	4	technique	technique	NOUN
ejpam-6227	443	5	based	base	VERB
ejpam-6227	443	6	on	on	ADP
ejpam-6227	443	7	tifaa	tifaa	NOUN
ejpam-6227	443	8	operator	operator	NOUN
ejpam-6227	443	9	triangular	triangular	NOUN
ejpam-6227	443	10	fuzzy	fuzzy	ADJ
ejpam-6227	443	11	c	c	NOUN
ejpam-6227	443	12	-	-	PUNCT
ejpam-6227	443	13	mean	mean	ADJ
ejpam-6227	443	14	clustering	clustering	ADJ
ejpam-6227	443	15	algorithm	algorithm	NOUN
ejpam-6227	443	16	triangular	triangular	NOUN
ejpam-6227	443	17	fuzzy	fuzzy	ADJ
ejpam-6227	443	18	clustering	clustering	ADJ
ejpam-6227	443	19	algorithms	algorithm	NOUN
ejpam-6227	443	20	are	be	AUX
ejpam-6227	443	21	used	use	VERB
ejpam-6227	443	22	to	to	PART
ejpam-6227	443	23	group	group	NOUN
ejpam-6227	443	24	people	people	NOUN
ejpam-6227	443	25	according	accord	VERB
ejpam-6227	443	26	to	to	ADP
ejpam-6227	443	27	shared	share	VERB
ejpam-6227	443	28	characteristics	characteristic	NOUN
ejpam-6227	443	29	or	or	CCONJ
ejpam-6227	443	30	habits	habit	NOUN
ejpam-6227	443	31	,	,	PUNCT
ejpam-6227	443	32	a	a	DET
ejpam-6227	443	33	process	process	NOUN
ejpam-6227	443	34	known	know	VERB
ejpam-6227	443	35	as	as	ADP
ejpam-6227	443	36	user	user	NOUN
ejpam-6227	443	37	profiling	profiling	NOUN
ejpam-6227	443	38	.	.	PUNCT
ejpam-6227	444	1	users	user	NOUN
ejpam-6227	444	2	can	can	AUX
ejpam-6227	444	3	have	have	VERB
ejpam-6227	444	4	their	their	PRON
ejpam-6227	444	5	membership	membership	NOUN
ejpam-6227	444	6	degrees	degree	VERB
ejpam-6227	444	7	a	a	DET
ejpam-6227	444	8	measure	measure	NOUN
ejpam-6227	444	9	of	of	ADP
ejpam-6227	444	10	how	how	SCONJ
ejpam-6227	444	11	much	much	ADJ
ejpam-6227	444	12	they	they	PRON
ejpam-6227	444	13	belong	belong	VERB
ejpam-6227	444	14	to	to	ADP
ejpam-6227	444	15	each	each	DET
ejpam-6227	444	16	cluster	cluster	NOUN
ejpam-6227	444	17	assigned	assign	VERB
ejpam-6227	444	18	to	to	ADP
ejpam-6227	444	19	them	they	PRON
ejpam-6227	444	20	thanks	thank	NOUN
ejpam-6227	444	21	to	to	ADP
ejpam-6227	444	22	triangular	triangular	VERB
ejpam-6227	444	23	fuzzy	fuzzy	ADJ
ejpam-6227	444	24	clustering	clustering	NOUN
ejpam-6227	444	25	.	.	PUNCT
ejpam-6227	445	1	this	this	DET
ejpam-6227	445	2	strategy	strategy	NOUN
ejpam-6227	445	3	is	be	AUX
ejpam-6227	445	4	especially	especially	ADV
ejpam-6227	445	5	helpful	helpful	ADJ
ejpam-6227	445	6	in	in	ADP
ejpam-6227	445	7	situations	situation	NOUN
ejpam-6227	445	8	where	where	SCONJ
ejpam-6227	445	9	users	user	NOUN
ejpam-6227	445	10	may	may	AUX
ejpam-6227	445	11	simultaneously	simultaneously	ADV
ejpam-6227	445	12	display	display	VERB
ejpam-6227	445	13	traits	trait	NOUN
ejpam-6227	445	14	from	from	ADP
ejpam-6227	445	15	several	several	ADJ
ejpam-6227	445	16	categories	category	NOUN
ejpam-6227	445	17	.	.	PUNCT
ejpam-6227	446	1	this	this	PRON
ejpam-6227	446	2	is	be	AUX
ejpam-6227	446	3	a	a	DET
ejpam-6227	446	4	simple	simple	ADJ
ejpam-6227	446	5	overview	overview	NOUN
ejpam-6227	446	6	of	of	ADP
ejpam-6227	446	7	how	how	SCONJ
ejpam-6227	446	8	triangular	triangular	ADJ
ejpam-6227	446	9	fuzzy	fuzzy	ADJ
ejpam-6227	446	10	clustering	clustering	NOUN
ejpam-6227	446	11	for	for	ADP
ejpam-6227	446	12	user	user	NOUN
ejpam-6227	446	13	profiling	profiling	NOUN
ejpam-6227	446	14	could	could	AUX
ejpam-6227	446	15	be	be	AUX
ejpam-6227	446	16	used	use	VERB
ejpam-6227	446	17	.	.	PUNCT
ejpam-6227	447	1	compile	compile	NOUN
ejpam-6227	447	2	pertinent	pertinent	NOUN
ejpam-6227	447	3	user	user	NOUN
ejpam-6227	447	4	information	information	NOUN
ejpam-6227	447	5	that	that	PRON
ejpam-6227	447	6	can	can	AUX
ejpam-6227	447	7	be	be	AUX
ejpam-6227	447	8	utilized	utilize	VERB
ejpam-6227	447	9	for	for	ADP
ejpam-6227	447	10	profiling	profiling	NOUN
ejpam-6227	447	11	.	.	PUNCT
ejpam-6227	448	1	the	the	DET
ejpam-6227	448	2	demographic	demographic	ADJ
ejpam-6227	448	3	data	datum	NOUN
ejpam-6227	448	4	,	,	PUNCT
ejpam-6227	448	5	browsing	browse	VERB
ejpam-6227	448	6	history	history	NOUN
ejpam-6227	448	7	,	,	PUNCT
ejpam-6227	448	8	purchasing	purchase	VERB
ejpam-6227	448	9	patterns	pattern	NOUN
ejpam-6227	448	10	,	,	PUNCT
ejpam-6227	448	11	and	and	CCONJ
ejpam-6227	448	12	interactions	interaction	NOUN
ejpam-6227	448	13	with	with	ADP
ejpam-6227	448	14	a	a	DET
ejpam-6227	448	15	website	website	NOUN
ejpam-6227	448	16	or	or	CCONJ
ejpam-6227	448	17	application	application	NOUN
ejpam-6227	448	18	are	be	AUX
ejpam-6227	448	19	some	some	DET
ejpam-6227	448	20	examples	example	NOUN
ejpam-6227	448	21	of	of	ADP
ejpam-6227	448	22	this	this	DET
ejpam-6227	448	23	data	datum	NOUN
ejpam-6227	448	24	.	.	PUNCT
ejpam-6227	449	1	choose	choose	VERB
ejpam-6227	449	2	the	the	DET
ejpam-6227	449	3	characteristics	characteristic	NOUN
ejpam-6227	449	4	or	or	CCONJ
ejpam-6227	449	5	features	feature	NOUN
ejpam-6227	449	6	that	that	PRON
ejpam-6227	449	7	will	will	AUX
ejpam-6227	449	8	be	be	AUX
ejpam-6227	449	9	utilized	utilize	VERB
ejpam-6227	449	10	to	to	ADP
ejpam-6227	449	11	the	the	DET
ejpam-6227	449	12	clustering	clustering	ADJ
ejpam-6227	449	13	process	process	NOUN
ejpam-6227	449	14	.	.	PUNCT
ejpam-6227	450	1	these	these	DET
ejpam-6227	450	2	attributes	attribute	NOUN
ejpam-6227	450	3	ought	ought	AUX
ejpam-6227	450	4	to	to	PART
ejpam-6227	450	5	accurately	accurately	ADV
ejpam-6227	450	6	reflect	reflect	VERB
ejpam-6227	450	7	the	the	DET
ejpam-6227	450	8	traits	trait	NOUN
ejpam-6227	450	9	of	of	ADP
ejpam-6227	450	10	the	the	DET
ejpam-6227	450	11	users	user	NOUN
ejpam-6227	450	12	and	and	CCONJ
ejpam-6227	450	13	have	have	VERB
ejpam-6227	450	14	a	a	DET
ejpam-6227	450	15	bearing	bearing	NOUN
ejpam-6227	450	16	on	on	ADP
ejpam-6227	450	17	the	the	DET
ejpam-6227	450	18	process	process	NOUN
ejpam-6227	450	19	of	of	ADP
ejpam-6227	450	20	profiling	profiling	NOUN
ejpam-6227	450	21	.	.	PUNCT
ejpam-6227	451	1	for	for	ADP
ejpam-6227	451	2	the	the	DET
ejpam-6227	451	3	given	give	VERB
ejpam-6227	451	4	problem	problem	NOUN
ejpam-6227	451	5	,	,	PUNCT
ejpam-6227	451	6	choose	choose	VERB
ejpam-6227	451	7	a	a	DET
ejpam-6227	451	8	triangular	triangular	ADJ
ejpam-6227	451	9	fuzzy	fuzzy	ADJ
ejpam-6227	451	10	clustering	clustering	ADJ
ejpam-6227	451	11	algorithm	algorithm	NOUN
ejpam-6227	451	12	that	that	PRON
ejpam-6227	451	13	is	be	AUX
ejpam-6227	451	14	suitable	suitable	ADJ
ejpam-6227	451	15	triangular	triangular	NOUN
ejpam-6227	451	16	fuzzy	fuzzy	ADJ
ejpam-6227	451	17	c	c	NOUN
ejpam-6227	451	18	-	-	PUNCT
ejpam-6227	451	19	means	mean	NOUN
ejpam-6227	451	20	.	.	PUNCT
ejpam-6227	452	1	step	step	NOUN
ejpam-6227	452	2	1	1	NUM
ejpam-6227	452	3	:	:	PUNCT
ejpam-6227	452	4	describe	describe	VERB
ejpam-6227	452	5	the	the	DET
ejpam-6227	452	6	tif	tif	PROPN
ejpam-6227	452	7	decision	decision	NOUN
ejpam-6227	452	8	matrix	matrix	NOUN
ejpam-6227	452	9	step	step	NOUN
ejpam-6227	452	10	2	2	NUM
ejpam-6227	452	11	:	:	PUNCT
ejpam-6227	452	12	describe	describe	VERB
ejpam-6227	452	13	the	the	DET
ejpam-6227	452	14	tiffwa	tiffwa	NOUN
ejpam-6227	452	15	operator	operator	NOUN
ejpam-6227	452	16	and	and	CCONJ
ejpam-6227	452	17	λ	λ	NOUN
ejpam-6227	452	18	=	=	SYM
ejpam-6227	452	19	(	(	PUNCT
ejpam-6227	452	20	λ1	λ1	ADJ
ejpam-6227	452	21	,	,	PUNCT
ejpam-6227	452	22	λ2	λ2	NOUN
ejpam-6227	452	23	,	,	PUNCT
ejpam-6227	452	24	...	...	PUNCT
ejpam-6227	452	25	,	,	PUNCT
ejpam-6227	452	26	λn	λn	NOUN
ejpam-6227	452	27	)	)	PUNCT
ejpam-6227	452	28	.	.	PUNCT
ejpam-6227	453	1	tiffwa(a1	tiffwa(a1	PROPN
ejpam-6227	453	2	,	,	PUNCT
ejpam-6227	453	3	a2	a2	PROPN
ejpam-6227	453	4	,	,	PUNCT
ejpam-6227	453	5	...	...	PUNCT
ejpam-6227	453	6	,	,	PUNCT
ejpam-6227	453	7	an	an	X
ejpam-6227	453	8	)	)	PUNCT
ejpam-6227	453	9	=	=	SYM
ejpam-6227	453	10	a.	a.	NOUN
ejpam-6227	453	11	fahmi	fahmi	PROPN
ejpam-6227	453	12	et	et	PROPN
ejpam-6227	453	13	al	al	PROPN
ejpam-6227	453	14	.	.	PUNCT
ejpam-6227	453	15	/	/	SYM
ejpam-6227	453	16	eur	eur	PROPN
ejpam-6227	453	17	.	.	PUNCT
ejpam-6227	454	1	j.	j.	PROPN
ejpam-6227	454	2	pure	pure	PROPN
ejpam-6227	454	3	appl	appl	PROPN
ejpam-6227	454	4	.	.	PROPN
ejpam-6227	454	5	math	math	PROPN
ejpam-6227	454	6	,	,	PUNCT
ejpam-6227	454	7	18	18	NUM
ejpam-6227	454	8	(	(	PUNCT
ejpam-6227	454	9	3	3	NUM
ejpam-6227	454	10	)	)	PUNCT
ejpam-6227	454	11	(	(	PUNCT
ejpam-6227	454	12	2025	2025	NUM
ejpam-6227	454	13	)	)	PUNCT
ejpam-6227	454	14	,	,	PUNCT
ejpam-6227	454	15	6227	6227	NUM
ejpam-6227	454	16	26	26	NUM
ejpam-6227	454	17	of	of	ADP
ejpam-6227	454	18	37	37	NUM
ejpam-6227	454	19			ADJ
ejpam-6227	454	20	1	1	NUM
ejpam-6227	454	21	−	−	NOUN
ejpam-6227	454	22	log	log	NOUN
ejpam-6227	454	23	1	1	NOUN
ejpam-6227	454	24	+	+	PROPN
ejpam-6227	454	25	n∏	n∏	PROPN
ejpam-6227	454	26	j=1	j=1	NOUN
ejpam-6227	454	27	(	(	PUNCT
ejpam-6227	454	28	β	β	X
ejpam-6227	454	29	1−cj	1−cj	NUM
ejpam-6227	454	30	−1)λj	−1)λj	X
ejpam-6227	454	31	(	(	PUNCT
ejpam-6227	454	32	β−1)λj	β−1)λj	X
ejpam-6227	454	33	−1	−1	NOUN
ejpam-6227	454	34			ADJ
ejpam-6227	454	35	β	β	NOUN
ejpam-6227	454	36	,	,	PUNCT
ejpam-6227	454	37	1	1	NUM
ejpam-6227	454	38	−	−	NOUN
ejpam-6227	454	39	log	log	NOUN
ejpam-6227	454	40	1	1	NOUN
ejpam-6227	454	41	+	+	PROPN
ejpam-6227	454	42	n∏	n∏	PROPN
ejpam-6227	454	43	j=1	j=1	NOUN
ejpam-6227	454	44	(	(	PUNCT
ejpam-6227	454	45	β	β	X
ejpam-6227	454	46	1−dj	1−dj	X
ejpam-6227	455	1	−1)λj	−1)λj	PROPN
ejpam-6227	455	2	(	(	PUNCT
ejpam-6227	455	3	β−1)λj	β−1)λj	X
ejpam-6227	455	4	−1	−1	NOUN
ejpam-6227	455	5			ADJ
ejpam-6227	455	6	β	β	NOUN
ejpam-6227	455	7	,	,	PUNCT
ejpam-6227	455	8	1	1	NUM
ejpam-6227	455	9	−	−	NOUN
ejpam-6227	455	10	log	log	NOUN
ejpam-6227	455	11	1	1	NOUN
ejpam-6227	455	12	+	+	PROPN
ejpam-6227	455	13	n∏	n∏	PROPN
ejpam-6227	455	14	j=1	j=1	NOUN
ejpam-6227	455	15	(	(	PUNCT
ejpam-6227	455	16	β	β	X
ejpam-6227	455	17	1−ej	1−ej	NUM
ejpam-6227	455	18	−1)λj	−1)λj	X
ejpam-6227	455	19	(	(	PUNCT
ejpam-6227	455	20	β−1)λj	β−1)λj	X
ejpam-6227	455	21	−1	−1	NOUN
ejpam-6227	455	22			SCONJ
ejpam-6227	455	23	β	β	X
ejpam-6227	455	24			NUM
ejpam-6227	455	25	,	,	PUNCT
ejpam-6227	455	26			ADJ
ejpam-6227	455	27	log	log	NOUN
ejpam-6227	455	28	1	1	PROPN
ejpam-6227	455	29	+	+	PROPN
ejpam-6227	455	30	n∏	n∏	PROPN
ejpam-6227	455	31	j=1	j=1	NOUN
ejpam-6227	455	32	(	(	PUNCT
ejpam-6227	455	33	β	β	NOUN
ejpam-6227	455	34	1−gj	1−gj	NOUN
ejpam-6227	456	1	−1)λj	−1)λj	PROPN
ejpam-6227	456	2	(	(	PUNCT
ejpam-6227	456	3	β−1)λj	β−1)λj	X
ejpam-6227	456	4	−1	−1	NOUN
ejpam-6227	456	5			ADJ
ejpam-6227	456	6	β	β	NOUN
ejpam-6227	456	7	,	,	PUNCT
ejpam-6227	456	8	log	log	VERB
ejpam-6227	456	9	1	1	PROPN
ejpam-6227	456	10	+	+	PROPN
ejpam-6227	456	11	n∏	n∏	PROPN
ejpam-6227	456	12	j=1	j=1	NOUN
ejpam-6227	456	13	(	(	PUNCT
ejpam-6227	456	14	β	β	NOUN
ejpam-6227	456	15	1−hj	1−hj	NUM
ejpam-6227	457	1	−1)λj	−1)λj	NOUN
ejpam-6227	457	2	(	(	PUNCT
ejpam-6227	457	3	β−1)λj	β−1)λj	X
ejpam-6227	457	4	−1	−1	NOUN
ejpam-6227	457	5			ADJ
ejpam-6227	457	6	β	β	NOUN
ejpam-6227	457	7	,	,	PUNCT
ejpam-6227	457	8	log	log	VERB
ejpam-6227	457	9	1	1	PROPN
ejpam-6227	457	10	+	+	PROPN
ejpam-6227	457	11	n∏	n∏	PROPN
ejpam-6227	457	12	j=1	j=1	NOUN
ejpam-6227	457	13	(	(	PUNCT
ejpam-6227	457	14	β	β	X
ejpam-6227	457	15	1−lj	1−lj	NUM
ejpam-6227	457	16	−1)λj	−1)λj	PROPN
ejpam-6227	457	17	(	(	PUNCT
ejpam-6227	457	18	β−1)λj	β−1)λj	X
ejpam-6227	457	19	−1	−1	NOUN
ejpam-6227	457	20			SCONJ
ejpam-6227	457	21	β	β	X
ejpam-6227	457	22			NOUN
ejpam-6227	457	23			NUM
ejpam-6227	457	24	step	step	NOUN
ejpam-6227	457	25	3	3	NUM
ejpam-6227	457	26	:	:	PUNCT
ejpam-6227	457	27	the	the	DET
ejpam-6227	457	28	tifcm	tifcm	PROPN
ejpam-6227	457	29	algorithms	algorithm	NOUN
ejpam-6227	457	30	work	work	VERB
ejpam-6227	457	31	on	on	ADP
ejpam-6227	457	32	tiffwa	tiffwa	NOUN
ejpam-6227	457	33	operator	operator	NOUN
ejpam-6227	457	34	u	u	NOUN
ejpam-6227	457	35	=	=	PUNCT
ejpam-6227	458	1	[	[	X
ejpam-6227	458	2	uic]c=1	uic]c=1	NOUN
ejpam-6227	458	3	...	...	PUNCT
ejpam-6227	458	4	c	c	NOUN
ejpam-6227	458	5	i=1	i=1	PROPN
ejpam-6227	458	6	...	...	PUNCT
ejpam-6227	458	7	n	n	PRON
ejpam-6227	458	8	step	step	NOUN
ejpam-6227	458	9	4	4	NUM
ejpam-6227	458	10	:	:	PUNCT
ejpam-6227	458	11	using	use	VERB
ejpam-6227	458	12	k	k	ADJ
ejpam-6227	458	13	-	-	PUNCT
ejpam-6227	458	14	means	mean	VERB
ejpam-6227	458	15	clusting	clusting	NOUN
ejpam-6227	458	16	value	value	NOUN
ejpam-6227	458	17	is	be	AUX
ejpam-6227	458	18	defined	define	VERB
ejpam-6227	458	19	as	as	ADP
ejpam-6227	458	20	cluster	cluster	NOUN
ejpam-6227	458	21	’s	’s	PART
ejpam-6227	458	22	parameters	parameter	NOUN
ejpam-6227	458	23	.	.	PUNCT
ejpam-6227	459	1	step	step	NOUN
ejpam-6227	459	2	5	5	NUM
ejpam-6227	459	3	:	:	PUNCT
ejpam-6227	459	4	calculate	calculate	VERB
ejpam-6227	459	5	the	the	DET
ejpam-6227	459	6	cluster	cluster	NOUN
ejpam-6227	459	7	center	center	NOUN
ejpam-6227	459	8	to	to	PART
ejpam-6227	459	9	find	find	VERB
ejpam-6227	459	10	the	the	DET
ejpam-6227	459	11	centroid	centroid	NOUN
ejpam-6227	459	12	mj	mj	PROPN
ejpam-6227	459	13	=	=	PUNCT
ejpam-6227	459	14			NOUN
ejpam-6227	459	15	n∑	n∑	NOUN
ejpam-6227	459	16	j=1	j=1	NOUN
ejpam-6227	459	17	(	(	PUNCT
ejpam-6227	459	18	cj)α	cj)α	PROPN
ejpam-6227	459	19	n∑	n∑	NOUN
ejpam-6227	459	20	j=1	j=1	NOUN
ejpam-6227	459	21	(	(	PUNCT
ejpam-6227	459	22	dj)α	dj)α	PROPN
ejpam-6227	459	23	n∑	n∑	PROPN
ejpam-6227	459	24	j=1	j=1	PROPN
ejpam-6227	459	25	(	(	PUNCT
ejpam-6227	459	26	ej)αξj	ej)αξj	NOUN
ejpam-6227	459	27	n∑	n∑	NOUN
ejpam-6227	460	1	j=1	j=1	NOUN
ejpam-6227	460	2	(	(	PUNCT
ejpam-6227	460	3	cj)α	cj)α	PROPN
ejpam-6227	460	4	n∑	n∑	NOUN
ejpam-6227	460	5	j=1	j=1	NOUN
ejpam-6227	460	6	(	(	PUNCT
ejpam-6227	460	7	dj)α	dj)α	PROPN
ejpam-6227	460	8	n∑	n∑	NOUN
ejpam-6227	460	9	j=1	j=1	NOUN
ejpam-6227	460	10	(	(	PUNCT
ejpam-6227	460	11	ej)α	ej)α	PROPN
ejpam-6227	460	12	,	,	PUNCT
ejpam-6227	460	13	n∑	n∑	NOUN
ejpam-6227	460	14	j=1	j=1	NOUN
ejpam-6227	460	15	(	(	PUNCT
ejpam-6227	460	16	gj)α	gj)α	PROPN
ejpam-6227	460	17	n∑	n∑	PROPN
ejpam-6227	460	18	j=1	j=1	PROPN
ejpam-6227	460	19	(	(	PUNCT
ejpam-6227	460	20	hj)α	hj)α	PROPN
ejpam-6227	460	21	n∑	n∑	PROPN
ejpam-6227	460	22	j=1	j=1	PROPN
ejpam-6227	461	1	(	(	PUNCT
ejpam-6227	461	2	lj)αυj	lj)αυj	X
ejpam-6227	461	3	n∑	n∑	X
ejpam-6227	461	4	j=1	j=1	NOUN
ejpam-6227	461	5	(	(	PUNCT
ejpam-6227	461	6	gj)α	gj)α	PROPN
ejpam-6227	461	7	n∑	n∑	PROPN
ejpam-6227	461	8	j=1	j=1	PROPN
ejpam-6227	461	9	(	(	PUNCT
ejpam-6227	461	10	hj)α	hj)α	PROPN
ejpam-6227	461	11	n∑	n∑	PROPN
ejpam-6227	461	12	j=1	j=1	PROPN
ejpam-6227	461	13	(	(	PUNCT
ejpam-6227	461	14	lj)α	lj)α	PROPN
ejpam-6227	461	15			PUNCT
ejpam-6227	461	16	n	n	NOUN
ejpam-6227	461	17	=	=	NOUN
ejpam-6227	461	18	number	number	NOUN
ejpam-6227	461	19	of	of	ADP
ejpam-6227	461	20	alternatives	alternative	NOUN
ejpam-6227	461	21	or	or	CCONJ
ejpam-6227	461	22	decision	decision	NOUN
ejpam-6227	461	23	makers	maker	NOUN
ejpam-6227	461	24	;	;	PUNCT
ejpam-6227	461	25	α	α	PRON
ejpam-6227	461	26	=	=	NOUN
ejpam-6227	461	27	weighting	weight	VERB
ejpam-6227	461	28	exponent	exponent	NOUN
ejpam-6227	461	29	to	to	PART
ejpam-6227	461	30	adjust	adjust	VERB
ejpam-6227	461	31	sensitivity	sensitivity	NOUN
ejpam-6227	461	32	of	of	ADP
ejpam-6227	461	33	the	the	DET
ejpam-6227	461	34	aggregation	aggregation	NOUN
ejpam-6227	461	35	;	;	PUNCT
ejpam-6227	461	36	cj	cj	NOUN
ejpam-6227	461	37	,	,	PUNCT
ejpam-6227	461	38	dj	dj	X
ejpam-6227	461	39	,	,	PUNCT
ejpam-6227	461	40	ej	ej	INTJ
ejpam-6227	461	41	,	,	PUNCT
ejpam-6227	461	42	lower	low	ADJ
ejpam-6227	461	43	,	,	PUNCT
ejpam-6227	461	44	middle	middle	ADJ
ejpam-6227	461	45	,	,	PUNCT
ejpam-6227	461	46	and	and	CCONJ
ejpam-6227	461	47	upper	upper	ADJ
ejpam-6227	461	48	bounds	bound	NOUN
ejpam-6227	461	49	of	of	ADP
ejpam-6227	461	50	the	the	DET
ejpam-6227	461	51	membership	membership	NOUN
ejpam-6227	461	52	degree	degree	NOUN
ejpam-6227	461	53	for	for	ADP
ejpam-6227	461	54	alternative	alternative	ADJ
ejpam-6227	461	55	gj	gj	NOUN
ejpam-6227	461	56	,	,	PUNCT
ejpam-6227	461	57	hj	hj	PROPN
ejpam-6227	461	58	,	,	PUNCT
ejpam-6227	461	59	lj	lj	INTJ
ejpam-6227	461	60	,	,	PUNCT
ejpam-6227	461	61	lower	low	ADJ
ejpam-6227	461	62	,	,	PUNCT
ejpam-6227	461	63	middle	middle	ADJ
ejpam-6227	461	64	,	,	PUNCT
ejpam-6227	461	65	and	and	CCONJ
ejpam-6227	461	66	upper	upper	ADJ
ejpam-6227	461	67	bounds	bound	NOUN
ejpam-6227	461	68	of	of	ADP
ejpam-6227	461	69	the	the	DET
ejpam-6227	461	70	non	non	ADJ
ejpam-6227	461	71	-	-	ADJ
ejpam-6227	461	72	membership	membership	ADJ
ejpam-6227	461	73	degree	degree	NOUN
ejpam-6227	461	74	for	for	ADP
ejpam-6227	461	75	alternative	alternative	ADJ
ejpam-6227	461	76	ξj	ξj	NOUN
ejpam-6227	461	77	=	=	PUNCT
ejpam-6227	461	78	weight	weight	NOUN
ejpam-6227	461	79	or	or	CCONJ
ejpam-6227	461	80	importance	importance	NOUN
ejpam-6227	461	81	level	level	NOUN
ejpam-6227	461	82	assigned	assign	VERB
ejpam-6227	461	83	j−th	j−th	PROPN
ejpam-6227	461	84	membership	membership	NOUN
ejpam-6227	461	85	value	value	NOUN
ejpam-6227	461	86	υj	υj	X
ejpam-6227	461	87	=	=	NOUN
ejpam-6227	461	88	weight	weight	NOUN
ejpam-6227	461	89	or	or	CCONJ
ejpam-6227	461	90	importance	importance	NOUN
ejpam-6227	461	91	level	level	NOUN
ejpam-6227	461	92	assigned	assign	VERB
ejpam-6227	461	93	to	to	ADP
ejpam-6227	461	94	the	the	DET
ejpam-6227	461	95	j	j	PROPN
ejpam-6227	461	96	-	-	PUNCT
ejpam-6227	461	97	th	th	PRON
ejpam-6227	461	98	non	non	ADJ
ejpam-6227	461	99	-	-	ADJ
ejpam-6227	461	100	membership	membership	ADJ
ejpam-6227	461	101	value	value	NOUN
ejpam-6227	461	102	step	step	NOUN
ejpam-6227	461	103	6	6	NUM
ejpam-6227	461	104	:	:	PUNCT
ejpam-6227	461	105	find	find	VERB
ejpam-6227	461	106	out	out	ADP
ejpam-6227	461	107	the	the	DET
ejpam-6227	461	108	distance	distance	NOUN
ejpam-6227	461	109	of	of	ADP
ejpam-6227	461	110	each	each	DET
ejpam-6227	461	111	point	point	NOUN
ejpam-6227	461	112	from	from	ADP
ejpam-6227	461	113	the	the	DET
ejpam-6227	461	114	centroid	centroid	NOUN
ejpam-6227	461	115	fj	fj	PROPN
ejpam-6227	461	116	=	=	PUNCT
ejpam-6227	461	117	⟨∥c−	⟨∥c−	PRON
ejpam-6227	461	118	−	−	PROPN
ejpam-6227	462	1	rj∥	rj∥	NOUN
ejpam-6227	462	2	+	+	CCONJ
ejpam-6227	462	3	∥d−	∥d−	PROPN
ejpam-6227	462	4	−	−	PROPN
ejpam-6227	463	1	rj∥	rj∥	PROPN
ejpam-6227	463	2	+	+	CCONJ
ejpam-6227	463	3	∥e−	∥e−	NUM
ejpam-6227	463	4	−	−	NOUN
ejpam-6227	463	5	rj∥	rj∥	NOUN
ejpam-6227	463	6	,	,	PUNCT
ejpam-6227	463	7	∥g	∥g	PROPN
ejpam-6227	463	8	−	−	PROPN
ejpam-6227	463	9	rj∥	rj∥	NOUN
ejpam-6227	463	10	+	+	CCONJ
ejpam-6227	463	11	∥h	∥h	NOUN
ejpam-6227	463	12	−	−	NOUN
ejpam-6227	463	13	rj∥	rj∥	NOUN
ejpam-6227	463	14	+	+	CCONJ
ejpam-6227	463	15	∥l	∥l	PROPN
ejpam-6227	463	16	−	−	PROPN
ejpam-6227	463	17	rj∥⟩	rj∥⟩	NOUN
ejpam-6227	463	18	step	step	NOUN
ejpam-6227	463	19	7	7	NUM
ejpam-6227	463	20	:	:	PUNCT
ejpam-6227	463	21	calculate	calculate	VERB
ejpam-6227	463	22	the	the	DET
ejpam-6227	463	23	score	score	NOUN
ejpam-6227	463	24	function	function	NOUN
ejpam-6227	463	25	⟨[cj+dj+ej	⟨[cj+dj+ej	NOUN
ejpam-6227	463	26	]	]	PUNCT
ejpam-6227	463	27	−[gj+hj+lj	−[gj+hj+lj	X
ejpam-6227	463	28	]	]	X
ejpam-6227	463	29	⟩	⟩	NOUN
ejpam-6227	463	30	6	6	NUM
ejpam-6227	463	31	step	step	NOUN
ejpam-6227	463	32	8	8	NUM
ejpam-6227	463	33	:	:	PUNCT
ejpam-6227	463	34	find	find	VERB
ejpam-6227	463	35	the	the	DET
ejpam-6227	463	36	ranking	ranking	NOUN
ejpam-6227	463	37	.	.	PUNCT
ejpam-6227	464	1	a.	a.	PROPN
ejpam-6227	464	2	fahmi	fahmi	PROPN
ejpam-6227	464	3	et	et	PROPN
ejpam-6227	464	4	al	al	PROPN
ejpam-6227	464	5	.	.	PUNCT
ejpam-6227	464	6	/	/	SYM
ejpam-6227	464	7	eur	eur	PROPN
ejpam-6227	464	8	.	.	PUNCT
ejpam-6227	465	1	j.	j.	PROPN
ejpam-6227	465	2	pure	pure	PROPN
ejpam-6227	465	3	appl	appl	PROPN
ejpam-6227	465	4	.	.	PROPN
ejpam-6227	465	5	math	math	PROPN
ejpam-6227	465	6	,	,	PUNCT
ejpam-6227	465	7	18	18	NUM
ejpam-6227	465	8	(	(	PUNCT
ejpam-6227	465	9	3	3	NUM
ejpam-6227	465	10	)	)	PUNCT
ejpam-6227	465	11	(	(	PUNCT
ejpam-6227	465	12	2025	2025	NUM
ejpam-6227	465	13	)	)	PUNCT
ejpam-6227	465	14	,	,	PUNCT
ejpam-6227	465	15	6227	6227	NUM
ejpam-6227	465	16	27	27	NUM
ejpam-6227	465	17	of	of	ADP
ejpam-6227	465	18	37	37	NUM
ejpam-6227	465	19	6	6	NUM
ejpam-6227	465	20	.	.	PUNCT
ejpam-6227	466	1	case	case	NOUN
ejpam-6227	466	2	history	history	NOUN
ejpam-6227	466	3	recognize	recognize	VERB
ejpam-6227	466	4	the	the	DET
ejpam-6227	466	5	goal	goal	NOUN
ejpam-6227	466	6	of	of	ADP
ejpam-6227	466	7	selecting	select	VERB
ejpam-6227	466	8	the	the	DET
ejpam-6227	466	9	most	most	ADV
ejpam-6227	466	10	efficient	efficient	ADJ
ejpam-6227	466	11	renewable	renewable	ADJ
ejpam-6227	466	12	energy	energy	NOUN
ejpam-6227	466	13	projects	project	NOUN
ejpam-6227	466	14	.	.	PUNCT
ejpam-6227	467	1	effective	effective	ADJ
ejpam-6227	467	2	project	project	NOUN
ejpam-6227	467	3	selection	selection	NOUN
ejpam-6227	467	4	requires	require	VERB
ejpam-6227	467	5	a	a	DET
ejpam-6227	467	6	well	well	ADV
ejpam-6227	467	7	-	-	PUNCT
ejpam-6227	467	8	structured	structure	VERB
ejpam-6227	467	9	review	review	NOUN
ejpam-6227	467	10	process	process	NOUN
ejpam-6227	467	11	,	,	PUNCT
ejpam-6227	467	12	based	base	VERB
ejpam-6227	467	13	on	on	ADP
ejpam-6227	467	14	data	data	NOUN
ejpam-6227	467	15	-	-	PUNCT
ejpam-6227	467	16	driven	drive	VERB
ejpam-6227	467	17	insights	insight	NOUN
ejpam-6227	467	18	,	,	PUNCT
ejpam-6227	467	19	focusing	focus	VERB
ejpam-6227	467	20	on	on	ADP
ejpam-6227	467	21	energy	energy	NOUN
ejpam-6227	467	22	generation	generation	NOUN
ejpam-6227	467	23	potential	potential	NOUN
ejpam-6227	467	24	,	,	PUNCT
ejpam-6227	467	25	sustainability	sustainability	NOUN
ejpam-6227	467	26	,	,	PUNCT
ejpam-6227	467	27	and	and	CCONJ
ejpam-6227	467	28	cost	cost	NOUN
ejpam-6227	467	29	-	-	PUNCT
ejpam-6227	467	30	effectiveness	effectiveness	NOUN
ejpam-6227	467	31	(	(	PUNCT
ejpam-6227	467	32	not	not	PART
ejpam-6227	467	33	just	just	ADV
ejpam-6227	467	34	assumptions	assumption	NOUN
ejpam-6227	467	35	or	or	CCONJ
ejpam-6227	467	36	guesswork	guesswork	VERB
ejpam-6227	467	37	)	)	PUNCT
ejpam-6227	467	38	.	.	PUNCT
ejpam-6227	468	1	this	this	PRON
ejpam-6227	468	2	requires	require	VERB
ejpam-6227	468	3	proper	proper	ADJ
ejpam-6227	468	4	planning	planning	NOUN
ejpam-6227	468	5	and	and	CCONJ
ejpam-6227	468	6	the	the	DET
ejpam-6227	468	7	implementation	implementation	NOUN
ejpam-6227	468	8	of	of	ADP
ejpam-6227	468	9	strategies	strategy	NOUN
ejpam-6227	468	10	to	to	PART
ejpam-6227	468	11	evaluate	evaluate	VERB
ejpam-6227	468	12	and	and	CCONJ
ejpam-6227	468	13	choose	choose	VERB
ejpam-6227	468	14	optimal	optimal	ADJ
ejpam-6227	468	15	projects	project	NOUN
ejpam-6227	468	16	.	.	PUNCT
ejpam-6227	469	1	instead	instead	ADV
ejpam-6227	469	2	of	of	ADP
ejpam-6227	469	3	focusing	focus	VERB
ejpam-6227	469	4	solely	solely	ADV
ejpam-6227	469	5	on	on	ADP
ejpam-6227	469	6	project	project	NOUN
ejpam-6227	469	7	failures	failure	NOUN
ejpam-6227	469	8	,	,	PUNCT
ejpam-6227	469	9	engage	engage	VERB
ejpam-6227	469	10	in	in	ADP
ejpam-6227	469	11	a	a	DET
ejpam-6227	469	12	constructive	constructive	ADJ
ejpam-6227	469	13	conversation	conversation	NOUN
ejpam-6227	469	14	about	about	ADP
ejpam-6227	469	15	how	how	SCONJ
ejpam-6227	469	16	to	to	PART
ejpam-6227	469	17	improve	improve	VERB
ejpam-6227	469	18	the	the	DET
ejpam-6227	469	19	selection	selection	NOUN
ejpam-6227	469	20	process	process	NOUN
ejpam-6227	469	21	.	.	PUNCT
ejpam-6227	470	1	prioritize	prioritize	VERB
ejpam-6227	470	2	development	development	NOUN
ejpam-6227	470	3	,	,	PUNCT
ejpam-6227	470	4	sustainability	sustainability	NOUN
ejpam-6227	470	5	,	,	PUNCT
ejpam-6227	470	6	and	and	CCONJ
ejpam-6227	470	7	cost	cost	NOUN
ejpam-6227	470	8	-	-	PUNCT
ejpam-6227	470	9	effectiveness	effectiveness	NOUN
ejpam-6227	470	10	over	over	ADP
ejpam-6227	470	11	simply	simply	ADV
ejpam-6227	470	12	criticizing	criticize	VERB
ejpam-6227	470	13	the	the	DET
ejpam-6227	470	14	system	system	NOUN
ejpam-6227	470	15	.	.	PUNCT
ejpam-6227	471	1	share	share	NOUN
ejpam-6227	471	2	findings	finding	NOUN
ejpam-6227	471	3	and	and	CCONJ
ejpam-6227	471	4	recommendations	recommendation	NOUN
ejpam-6227	471	5	for	for	ADP
ejpam-6227	471	6	enhancing	enhance	VERB
ejpam-6227	471	7	the	the	DET
ejpam-6227	471	8	selection	selection	NOUN
ejpam-6227	471	9	process	process	NOUN
ejpam-6227	471	10	and	and	CCONJ
ejpam-6227	471	11	suggest	suggest	VERB
ejpam-6227	471	12	next	next	ADJ
ejpam-6227	471	13	steps	step	NOUN
ejpam-6227	471	14	for	for	ADP
ejpam-6227	471	15	more	more	ADV
ejpam-6227	471	16	efficient	efficient	ADJ
ejpam-6227	471	17	renewable	renewable	ADJ
ejpam-6227	471	18	energy	energy	NOUN
ejpam-6227	471	19	projects	project	NOUN
ejpam-6227	471	20	.	.	PUNCT
ejpam-6227	472	1	if	if	SCONJ
ejpam-6227	472	2	any	any	PRON
ejpam-6227	472	3	of	of	ADP
ejpam-6227	472	4	these	these	DET
ejpam-6227	472	5	issues	issue	NOUN
ejpam-6227	472	6	seem	seem	VERB
ejpam-6227	472	7	familiar	familiar	ADJ
ejpam-6227	472	8	,	,	PUNCT
ejpam-6227	472	9	it	it	PRON
ejpam-6227	472	10	’s	’	VERB
ejpam-6227	472	11	because	because	SCONJ
ejpam-6227	472	12	these	these	DET
ejpam-6227	472	13	challenges	challenge	NOUN
ejpam-6227	472	14	often	often	ADV
ejpam-6227	472	15	arise	arise	VERB
ejpam-6227	472	16	in	in	ADP
ejpam-6227	472	17	renewable	renewable	ADJ
ejpam-6227	472	18	energy	energy	NOUN
ejpam-6227	472	19	project	project	NOUN
ejpam-6227	472	20	selection	selection	NOUN
ejpam-6227	472	21	,	,	PUNCT
ejpam-6227	472	22	leading	lead	VERB
ejpam-6227	472	23	to	to	ADP
ejpam-6227	472	24	higher	high	ADJ
ejpam-6227	472	25	costs	cost	NOUN
ejpam-6227	472	26	,	,	PUNCT
ejpam-6227	472	27	wasted	waste	VERB
ejpam-6227	472	28	resources	resource	NOUN
ejpam-6227	472	29	,	,	PUNCT
ejpam-6227	472	30	or	or	CCONJ
ejpam-6227	472	31	missed	miss	VERB
ejpam-6227	472	32	energy	energy	NOUN
ejpam-6227	472	33	goals	goal	NOUN
ejpam-6227	472	34	.	.	PUNCT
ejpam-6227	473	1	while	while	SCONJ
ejpam-6227	473	2	technology	technology	NOUN
ejpam-6227	473	3	in	in	ADP
ejpam-6227	473	4	renewable	renewable	ADJ
ejpam-6227	473	5	energy	energy	NOUN
ejpam-6227	473	6	can	can	AUX
ejpam-6227	473	7	help	help	VERB
ejpam-6227	473	8	optimize	optimize	VERB
ejpam-6227	473	9	energy	energy	NOUN
ejpam-6227	473	10	production	production	NOUN
ejpam-6227	473	11	,	,	PUNCT
ejpam-6227	473	12	many	many	ADJ
ejpam-6227	473	13	projects	project	NOUN
ejpam-6227	473	14	struggle	struggle	VERB
ejpam-6227	473	15	to	to	PART
ejpam-6227	473	16	identify	identify	VERB
ejpam-6227	473	17	and	and	CCONJ
ejpam-6227	473	18	address	address	VERB
ejpam-6227	473	19	inefficiencies	inefficiency	NOUN
ejpam-6227	473	20	in	in	ADP
ejpam-6227	473	21	energy	energy	NOUN
ejpam-6227	473	22	generation	generation	NOUN
ejpam-6227	473	23	.	.	PUNCT
ejpam-6227	474	1	these	these	DET
ejpam-6227	474	2	small	small	ADJ
ejpam-6227	474	3	inefficiencies	inefficiency	NOUN
ejpam-6227	474	4	,	,	PUNCT
ejpam-6227	474	5	if	if	SCONJ
ejpam-6227	474	6	ignored	ignore	VERB
ejpam-6227	474	7	,	,	PUNCT
ejpam-6227	474	8	often	often	ADV
ejpam-6227	474	9	escalate	escalate	VERB
ejpam-6227	474	10	into	into	ADP
ejpam-6227	474	11	larger	large	ADJ
ejpam-6227	474	12	,	,	PUNCT
ejpam-6227	474	13	harder	hard	ADJ
ejpam-6227	474	14	-	-	PUNCT
ejpam-6227	474	15	to	to	AUX
ejpam-6227	474	16	-	-	PUNCT
ejpam-6227	474	17	manage	manage	VERB
ejpam-6227	474	18	issues	issue	NOUN
ejpam-6227	474	19	.	.	PUNCT
ejpam-6227	475	1	for	for	ADP
ejpam-6227	475	2	example	example	NOUN
ejpam-6227	475	3	,	,	PUNCT
ejpam-6227	475	4	if	if	SCONJ
ejpam-6227	475	5	energy	energy	NOUN
ejpam-6227	475	6	generation	generation	NOUN
ejpam-6227	475	7	or	or	CCONJ
ejpam-6227	475	8	cost	cost	NOUN
ejpam-6227	475	9	projections	projection	NOUN
ejpam-6227	475	10	deviate	deviate	VERB
ejpam-6227	475	11	unexpectedly	unexpectedly	ADV
ejpam-6227	475	12	,	,	PUNCT
ejpam-6227	475	13	after	after	ADP
ejpam-6227	475	14	conducting	conduct	VERB
ejpam-6227	475	15	a	a	DET
ejpam-6227	475	16	thorough	thorough	ADJ
ejpam-6227	475	17	analysis	analysis	NOUN
ejpam-6227	475	18	,	,	PUNCT
ejpam-6227	475	19	it	it	PRON
ejpam-6227	475	20	may	may	AUX
ejpam-6227	475	21	be	be	AUX
ejpam-6227	475	22	due	due	ADJ
ejpam-6227	475	23	to	to	ADP
ejpam-6227	475	24	inefficient	inefficient	ADJ
ejpam-6227	475	25	system	system	NOUN
ejpam-6227	475	26	design	design	NOUN
ejpam-6227	475	27	,	,	PUNCT
ejpam-6227	475	28	outdated	outdated	ADJ
ejpam-6227	475	29	technologies	technology	NOUN
ejpam-6227	475	30	,	,	PUNCT
ejpam-6227	475	31	or	or	CCONJ
ejpam-6227	475	32	inaccurate	inaccurate	ADJ
ejpam-6227	475	33	forecasting	forecasting	NOUN
ejpam-6227	475	34	models	model	NOUN
ejpam-6227	475	35	.	.	PUNCT
ejpam-6227	476	1	in	in	ADP
ejpam-6227	476	2	your	your	PRON
ejpam-6227	476	3	role	role	NOUN
ejpam-6227	476	4	as	as	ADP
ejpam-6227	476	5	a	a	DET
ejpam-6227	476	6	project	project	NOUN
ejpam-6227	476	7	manager	manager	NOUN
ejpam-6227	476	8	or	or	CCONJ
ejpam-6227	476	9	energy	energy	NOUN
ejpam-6227	476	10	consultant	consultant	NOUN
ejpam-6227	476	11	,	,	PUNCT
ejpam-6227	476	12	you	you	PRON
ejpam-6227	476	13	might	might	AUX
ejpam-6227	476	14	suggest	suggest	AUX
ejpam-6227	476	15	upgrading	upgrade	VERB
ejpam-6227	476	16	outdated	outdated	ADJ
ejpam-6227	476	17	systems	system	NOUN
ejpam-6227	476	18	or	or	CCONJ
ejpam-6227	476	19	adjusting	adjust	VERB
ejpam-6227	476	20	project	project	NOUN
ejpam-6227	476	21	parameters	parameter	NOUN
ejpam-6227	476	22	to	to	PART
ejpam-6227	476	23	improve	improve	VERB
ejpam-6227	476	24	performance	performance	NOUN
ejpam-6227	476	25	.	.	PUNCT
ejpam-6227	477	1	however	however	ADV
ejpam-6227	477	2	,	,	PUNCT
ejpam-6227	477	3	do	do	AUX
ejpam-6227	477	4	you	you	PRON
ejpam-6227	477	5	act	act	VERB
ejpam-6227	477	6	on	on	ADP
ejpam-6227	477	7	these	these	DET
ejpam-6227	477	8	issues	issue	NOUN
ejpam-6227	477	9	early	early	ADV
ejpam-6227	477	10	,	,	PUNCT
ejpam-6227	477	11	or	or	CCONJ
ejpam-6227	477	12	,	,	PUNCT
ejpam-6227	477	13	like	like	ADP
ejpam-6227	477	14	many	many	ADJ
ejpam-6227	477	15	,	,	PUNCT
ejpam-6227	477	16	do	do	AUX
ejpam-6227	477	17	you	you	PRON
ejpam-6227	477	18	allow	allow	VERB
ejpam-6227	477	19	minor	minor	ADJ
ejpam-6227	477	20	inefficiencies	inefficiency	NOUN
ejpam-6227	477	21	to	to	PART
ejpam-6227	477	22	escalate	escalate	VERB
ejpam-6227	477	23	into	into	ADP
ejpam-6227	477	24	bigger	big	ADJ
ejpam-6227	477	25	problems	problem	NOUN
ejpam-6227	477	26	that	that	PRON
ejpam-6227	477	27	could	could	AUX
ejpam-6227	477	28	be	be	AUX
ejpam-6227	477	29	harder	hard	ADJ
ejpam-6227	477	30	to	to	PART
ejpam-6227	477	31	address	address	VERB
ejpam-6227	477	32	later	later	ADV
ejpam-6227	477	33	?	?	PUNCT
ejpam-6227	478	1	just	just	ADV
ejpam-6227	478	2	like	like	SCONJ
ejpam-6227	478	3	medical	medical	ADJ
ejpam-6227	478	4	symptoms	symptom	NOUN
ejpam-6227	478	5	serve	serve	VERB
ejpam-6227	478	6	as	as	ADP
ejpam-6227	478	7	early	early	ADJ
ejpam-6227	478	8	warnings	warning	NOUN
ejpam-6227	478	9	,	,	PUNCT
ejpam-6227	478	10	inefficiencies	inefficiency	NOUN
ejpam-6227	478	11	in	in	ADP
ejpam-6227	478	12	renewable	renewable	ADJ
ejpam-6227	478	13	energy	energy	NOUN
ejpam-6227	478	14	projects	project	NOUN
ejpam-6227	478	15	act	act	VERB
ejpam-6227	478	16	as	as	ADP
ejpam-6227	478	17	warning	warn	VERB
ejpam-6227	478	18	signs	sign	NOUN
ejpam-6227	478	19	that	that	PRON
ejpam-6227	478	20	need	need	VERB
ejpam-6227	478	21	immediate	immediate	ADJ
ejpam-6227	478	22	attention	attention	NOUN
ejpam-6227	478	23	.	.	PUNCT
ejpam-6227	479	1	if	if	SCONJ
ejpam-6227	479	2	not	not	PART
ejpam-6227	479	3	treated	treat	VERB
ejpam-6227	479	4	early	early	ADV
ejpam-6227	479	5	,	,	PUNCT
ejpam-6227	479	6	these	these	DET
ejpam-6227	479	7	inefficiencies	inefficiency	NOUN
ejpam-6227	479	8	can	can	AUX
ejpam-6227	479	9	lead	lead	VERB
ejpam-6227	479	10	to	to	ADP
ejpam-6227	479	11	higher	high	ADJ
ejpam-6227	479	12	costs	cost	NOUN
ejpam-6227	479	13	,	,	PUNCT
ejpam-6227	479	14	system	system	NOUN
ejpam-6227	479	15	overload	overload	NOUN
ejpam-6227	479	16	,	,	PUNCT
ejpam-6227	479	17	or	or	CCONJ
ejpam-6227	479	18	even	even	ADV
ejpam-6227	479	19	project	project	NOUN
ejpam-6227	479	20	failure	failure	NOUN
ejpam-6227	479	21	.	.	PUNCT
ejpam-6227	480	1	addressing	address	VERB
ejpam-6227	480	2	issues	issue	NOUN
ejpam-6227	480	3	early	early	ADV
ejpam-6227	480	4	enables	enable	VERB
ejpam-6227	480	5	quick	quick	ADJ
ejpam-6227	480	6	fixes	fix	NOUN
ejpam-6227	480	7	and	and	CCONJ
ejpam-6227	480	8	prevents	prevent	VERB
ejpam-6227	480	9	significant	significant	ADJ
ejpam-6227	480	10	consequences	consequence	NOUN
ejpam-6227	480	11	.	.	PUNCT
ejpam-6227	481	1	pid1	pid1	PROPN
ejpam-6227	481	2	:	:	PUNCT
ejpam-6227	481	3	renewable	renewable	ADJ
ejpam-6227	481	4	energy	energy	NOUN
ejpam-6227	481	5	systems	system	NOUN
ejpam-6227	481	6	use	use	VERB
ejpam-6227	481	7	advanced	advanced	ADJ
ejpam-6227	481	8	technologies	technology	NOUN
ejpam-6227	481	9	like	like	ADP
ejpam-6227	481	10	ai	ai	INTJ
ejpam-6227	481	11	and	and	CCONJ
ejpam-6227	481	12	machine	machine	NOUN
ejpam-6227	481	13	learning	learn	VERB
ejpam-6227	481	14	to	to	PART
ejpam-6227	481	15	optimize	optimize	VERB
ejpam-6227	481	16	project	project	NOUN
ejpam-6227	481	17	performance	performance	NOUN
ejpam-6227	481	18	by	by	ADP
ejpam-6227	481	19	analyzing	analyze	VERB
ejpam-6227	481	20	real	real	ADJ
ejpam-6227	481	21	-	-	PUNCT
ejpam-6227	481	22	time	time	NOUN
ejpam-6227	481	23	data	datum	NOUN
ejpam-6227	481	24	and	and	CCONJ
ejpam-6227	481	25	predicting	predict	VERB
ejpam-6227	481	26	future	future	ADJ
ejpam-6227	481	27	energy	energy	NOUN
ejpam-6227	481	28	production	production	NOUN
ejpam-6227	481	29	.	.	PUNCT
ejpam-6227	482	1	these	these	DET
ejpam-6227	482	2	systems	system	NOUN
ejpam-6227	482	3	improve	improve	VERB
ejpam-6227	482	4	project	project	NOUN
ejpam-6227	482	5	efficiency	efficiency	NOUN
ejpam-6227	482	6	by	by	ADP
ejpam-6227	482	7	monitoring	monitor	VERB
ejpam-6227	482	8	resource	resource	NOUN
ejpam-6227	482	9	usage	usage	NOUN
ejpam-6227	482	10	,	,	PUNCT
ejpam-6227	482	11	optimizing	optimize	VERB
ejpam-6227	482	12	energy	energy	NOUN
ejpam-6227	482	13	output	output	NOUN
ejpam-6227	482	14	,	,	PUNCT
ejpam-6227	482	15	and	and	CCONJ
ejpam-6227	482	16	adjusting	adjust	VERB
ejpam-6227	482	17	project	project	NOUN
ejpam-6227	482	18	settings	setting	NOUN
ejpam-6227	482	19	based	base	VERB
ejpam-6227	482	20	on	on	ADP
ejpam-6227	482	21	environmental	environmental	ADJ
ejpam-6227	482	22	patterns	pattern	NOUN
ejpam-6227	482	23	.	.	PUNCT
ejpam-6227	483	1	pid2	pid2	NOUN
ejpam-6227	483	2	:	:	PUNCT
ejpam-6227	483	3	integration	integration	NOUN
ejpam-6227	483	4	of	of	ADP
ejpam-6227	483	5	solar	solar	ADJ
ejpam-6227	483	6	,	,	PUNCT
ejpam-6227	483	7	wind	wind	NOUN
ejpam-6227	483	8	,	,	PUNCT
ejpam-6227	483	9	and	and	CCONJ
ejpam-6227	483	10	energy	energy	NOUN
ejpam-6227	483	11	storage	storage	NOUN
ejpam-6227	483	12	solutions	solution	NOUN
ejpam-6227	483	13	within	within	ADP
ejpam-6227	483	14	renewable	renewable	ADJ
ejpam-6227	483	15	energy	energy	NOUN
ejpam-6227	483	16	projects	project	NOUN
ejpam-6227	483	17	introduces	introduce	VERB
ejpam-6227	483	18	complex	complex	ADJ
ejpam-6227	483	19	dynamics	dynamic	NOUN
ejpam-6227	483	20	.	.	PUNCT
ejpam-6227	484	1	by	by	ADP
ejpam-6227	484	2	managing	manage	VERB
ejpam-6227	484	3	energy	energy	NOUN
ejpam-6227	484	4	from	from	ADP
ejpam-6227	484	5	these	these	DET
ejpam-6227	484	6	diverse	diverse	ADJ
ejpam-6227	484	7	sources	source	NOUN
ejpam-6227	484	8	,	,	PUNCT
ejpam-6227	484	9	projects	project	NOUN
ejpam-6227	484	10	can	can	AUX
ejpam-6227	484	11	balance	balance	VERB
ejpam-6227	484	12	energy	energy	NOUN
ejpam-6227	484	13	production	production	NOUN
ejpam-6227	484	14	,	,	PUNCT
ejpam-6227	484	15	reduce	reduce	VERB
ejpam-6227	484	16	waste	waste	NOUN
ejpam-6227	484	17	,	,	PUNCT
ejpam-6227	484	18	and	and	CCONJ
ejpam-6227	484	19	enhance	enhance	VERB
ejpam-6227	484	20	sustainability	sustainability	NOUN
ejpam-6227	484	21	.	.	PUNCT
ejpam-6227	485	1	efficiently	efficiently	ADV
ejpam-6227	485	2	integrating	integrate	VERB
ejpam-6227	485	3	these	these	DET
ejpam-6227	485	4	systems	system	NOUN
ejpam-6227	485	5	can	can	AUX
ejpam-6227	485	6	increase	increase	VERB
ejpam-6227	485	7	self	self	NOUN
ejpam-6227	485	8	-	-	PUNCT
ejpam-6227	485	9	sufficiency	sufficiency	NOUN
ejpam-6227	485	10	and	and	CCONJ
ejpam-6227	485	11	minimize	minimize	VERB
ejpam-6227	485	12	reliance	reliance	NOUN
ejpam-6227	485	13	on	on	ADP
ejpam-6227	485	14	external	external	ADJ
ejpam-6227	485	15	energy	energy	NOUN
ejpam-6227	485	16	sources	source	NOUN
ejpam-6227	485	17	.	.	PUNCT
ejpam-6227	486	1	pid3	pid3	PROPN
ejpam-6227	486	2	:	:	PUNCT
ejpam-6227	486	3	energy	energy	NOUN
ejpam-6227	486	4	monitoring	monitoring	NOUN
ejpam-6227	486	5	and	and	CCONJ
ejpam-6227	486	6	analytics	analytic	NOUN
ejpam-6227	486	7	are	be	AUX
ejpam-6227	486	8	key	key	ADJ
ejpam-6227	486	9	to	to	ADP
ejpam-6227	486	10	identifying	identify	VERB
ejpam-6227	486	11	inefficiencies	inefficiency	NOUN
ejpam-6227	486	12	in	in	ADP
ejpam-6227	486	13	renewable	renewable	ADJ
ejpam-6227	486	14	energy	energy	NOUN
ejpam-6227	486	15	projects	project	NOUN
ejpam-6227	486	16	.	.	PUNCT
ejpam-6227	487	1	with	with	ADP
ejpam-6227	487	2	data	data	NOUN
ejpam-6227	487	3	-	-	PUNCT
ejpam-6227	487	4	driven	drive	VERB
ejpam-6227	487	5	insights	insight	NOUN
ejpam-6227	487	6	,	,	PUNCT
ejpam-6227	487	7	project	project	NOUN
ejpam-6227	487	8	managers	manager	NOUN
ejpam-6227	487	9	can	can	AUX
ejpam-6227	487	10	optimize	optimize	VERB
ejpam-6227	487	11	energy	energy	NOUN
ejpam-6227	487	12	generation	generation	NOUN
ejpam-6227	487	13	,	,	PUNCT
ejpam-6227	487	14	pinpoint	pinpoint	NOUN
ejpam-6227	487	15	areas	area	NOUN
ejpam-6227	487	16	of	of	ADP
ejpam-6227	487	17	waste	waste	NOUN
ejpam-6227	487	18	,	,	PUNCT
ejpam-6227	487	19	and	and	CCONJ
ejpam-6227	487	20	make	make	VERB
ejpam-6227	487	21	informed	informed	ADJ
ejpam-6227	487	22	decisions	decision	NOUN
ejpam-6227	487	23	about	about	ADP
ejpam-6227	487	24	how	how	SCONJ
ejpam-6227	487	25	to	to	PART
ejpam-6227	487	26	maximize	maximize	VERB
ejpam-6227	487	27	energy	energy	NOUN
ejpam-6227	487	28	production	production	NOUN
ejpam-6227	487	29	.	.	PUNCT
ejpam-6227	488	1	these	these	DET
ejpam-6227	488	2	insights	insight	NOUN
ejpam-6227	488	3	empower	empower	VERB
ejpam-6227	488	4	project	project	NOUN
ejpam-6227	488	5	teams	team	NOUN
ejpam-6227	488	6	to	to	PART
ejpam-6227	488	7	adjust	adjust	VERB
ejpam-6227	488	8	operational	operational	ADJ
ejpam-6227	488	9	strategies	strategy	NOUN
ejpam-6227	488	10	and	and	CCONJ
ejpam-6227	488	11	minimize	minimize	VERB
ejpam-6227	488	12	inefficiencies	inefficiency	NOUN
ejpam-6227	488	13	.	.	PUNCT
ejpam-6227	489	1	step	step	NOUN
ejpam-6227	489	2	1	1	NUM
ejpam-6227	489	3	:	:	PUNCT
ejpam-6227	489	4	explain	explain	VERB
ejpam-6227	489	5	the	the	DET
ejpam-6227	489	6	table	table	NOUN
ejpam-6227	489	7	2	2	NUM
ejpam-6227	489	8	and	and	CCONJ
ejpam-6227	489	9	3	3	NUM
ejpam-6227	489	10	tif	tif	NOUN
ejpam-6227	489	11	decision	decision	NOUN
ejpam-6227	489	12	matrix	matrix	NOUN
ejpam-6227	489	13	.	.	PUNCT
ejpam-6227	490	1	table	table	NOUN
ejpam-6227	490	2	2	2	NUM
ejpam-6227	490	3	of	of	ADP
ejpam-6227	490	4	the	the	DET
ejpam-6227	490	5	tif	tif	PROPN
ejpam-6227	490	6	decision	decision	NOUN
ejpam-6227	490	7	matrix	matrix	NOUN
ejpam-6227	490	8	.	.	PUNCT
ejpam-6227	491	1	a.	a.	PROPN
ejpam-6227	491	2	fahmi	fahmi	PROPN
ejpam-6227	491	3	et	et	PROPN
ejpam-6227	491	4	al	al	PROPN
ejpam-6227	491	5	.	.	PUNCT
ejpam-6227	491	6	/	/	SYM
ejpam-6227	491	7	eur	eur	PROPN
ejpam-6227	491	8	.	.	PUNCT
ejpam-6227	492	1	j.	j.	PROPN
ejpam-6227	492	2	pure	pure	PROPN
ejpam-6227	492	3	appl	appl	PROPN
ejpam-6227	492	4	.	.	PROPN
ejpam-6227	492	5	math	math	PROPN
ejpam-6227	492	6	,	,	PUNCT
ejpam-6227	492	7	18	18	NUM
ejpam-6227	492	8	(	(	PUNCT
ejpam-6227	492	9	3	3	NUM
ejpam-6227	492	10	)	)	PUNCT
ejpam-6227	492	11	(	(	PUNCT
ejpam-6227	492	12	2025	2025	NUM
ejpam-6227	492	13	)	)	PUNCT
ejpam-6227	492	14	,	,	PUNCT
ejpam-6227	492	15	6227	6227	NUM
ejpam-6227	492	16	28	28	NUM
ejpam-6227	492	17	of	of	ADP
ejpam-6227	492	18	37	37	NUM
ejpam-6227	492	19	su	su	PROPN
ejpam-6227	492	20	ra	ra	PROPN
ejpam-6227	492	21	ch	ch	NOUN
ejpam-6227	492	22	pid1	pid1	PROPN
ejpam-6227	492	23			PROPN
ejpam-6227	493	1	[	[	X
ejpam-6227	493	2	0.1	0.1	NUM
ejpam-6227	493	3	,	,	PUNCT
ejpam-6227	493	4	0.2	0.2	NUM
ejpam-6227	493	5	,	,	PUNCT
ejpam-6227	493	6	0.3	0.3	NUM
ejpam-6227	493	7	]	]	PUNCT
ejpam-6227	493	8	,	,	PUNCT
ejpam-6227	494	1	[	[	X
ejpam-6227	494	2	0.02	0.02	NUM
ejpam-6227	494	3	,	,	PUNCT
ejpam-6227	494	4	0.04	0.04	NUM
ejpam-6227	494	5	,	,	PUNCT
ejpam-6227	494	6	0.5	0.5	NUM
ejpam-6227	494	7	]	]	PUNCT
ejpam-6227	494	8			VERB
ejpam-6227	494	9			NOUN
ejpam-6227	495	1	[	[	X
ejpam-6227	495	2	0.11	0.11	NUM
ejpam-6227	495	3	,	,	PUNCT
ejpam-6227	495	4	0.21	0.21	NUM
ejpam-6227	495	5	,	,	PUNCT
ejpam-6227	495	6	0.33	0.33	NUM
ejpam-6227	495	7	]	]	PUNCT
ejpam-6227	495	8	,	,	PUNCT
ejpam-6227	495	9	[	[	X
ejpam-6227	495	10	0.024	0.024	NUM
ejpam-6227	495	11	,	,	PUNCT
ejpam-6227	495	12	0.044	0.044	NUM
ejpam-6227	495	13	,	,	PUNCT
ejpam-6227	495	14	0.11	0.11	NUM
ejpam-6227	495	15	]	]	PUNCT
ejpam-6227	495	16			VERB
ejpam-6227	495	17			NOUN
ejpam-6227	496	1	[	[	X
ejpam-6227	496	2	0.21	0.21	NUM
ejpam-6227	496	3	,	,	PUNCT
ejpam-6227	496	4	0.41	0.41	NUM
ejpam-6227	496	5	,	,	PUNCT
ejpam-6227	496	6	0.53	0.53	NUM
ejpam-6227	496	7	]	]	PUNCT
ejpam-6227	496	8	,	,	PUNCT
ejpam-6227	496	9	[	[	X
ejpam-6227	496	10	0.14	0.14	NUM
ejpam-6227	496	11	,	,	PUNCT
ejpam-6227	496	12	0.24	0.24	NUM
ejpam-6227	496	13	,	,	PUNCT
ejpam-6227	496	14	0.31	0.31	NUM
ejpam-6227	496	15	]	]	PUNCT
ejpam-6227	496	16			VERB
ejpam-6227	496	17	pid2	pid2	NOUN
ejpam-6227	496	18			NOUN
ejpam-6227	497	1	[	[	X
ejpam-6227	497	2	0.21	0.21	NUM
ejpam-6227	497	3	,	,	PUNCT
ejpam-6227	497	4	0.41	0.41	NUM
ejpam-6227	497	5	,	,	PUNCT
ejpam-6227	497	6	0.53	0.53	NUM
ejpam-6227	497	7	]	]	PUNCT
ejpam-6227	497	8	,	,	PUNCT
ejpam-6227	497	9	[	[	X
ejpam-6227	497	10	0.14	0.14	NUM
ejpam-6227	497	11	,	,	PUNCT
ejpam-6227	497	12	0.24	0.24	NUM
ejpam-6227	497	13	,	,	PUNCT
ejpam-6227	497	14	0.31	0.31	NUM
ejpam-6227	497	15	]	]	PUNCT
ejpam-6227	497	16			VERB
ejpam-6227	497	17			NOUN
ejpam-6227	498	1	[	[	X
ejpam-6227	498	2	0.1	0.1	NUM
ejpam-6227	498	3	,	,	PUNCT
ejpam-6227	498	4	0.2	0.2	NUM
ejpam-6227	498	5	,	,	PUNCT
ejpam-6227	498	6	0.3	0.3	NUM
ejpam-6227	498	7	]	]	PUNCT
ejpam-6227	498	8	,	,	PUNCT
ejpam-6227	498	9	[	[	X
ejpam-6227	498	10	0.02	0.02	NUM
ejpam-6227	498	11	,	,	PUNCT
ejpam-6227	498	12	0.04	0.04	NUM
ejpam-6227	498	13	,	,	PUNCT
ejpam-6227	498	14	0.5	0.5	NUM
ejpam-6227	498	15	]	]	PUNCT
ejpam-6227	498	16			VERB
ejpam-6227	498	17			NOUN
ejpam-6227	499	1	[	[	X
ejpam-6227	499	2	0.11	0.11	NUM
ejpam-6227	499	3	,	,	PUNCT
ejpam-6227	499	4	0.21	0.21	NUM
ejpam-6227	499	5	,	,	PUNCT
ejpam-6227	499	6	0.33	0.33	NUM
ejpam-6227	499	7	]	]	PUNCT
ejpam-6227	499	8	,	,	PUNCT
ejpam-6227	499	9	[	[	X
ejpam-6227	499	10	0.024	0.024	NUM
ejpam-6227	499	11	,	,	PUNCT
ejpam-6227	499	12	0.044	0.044	NUM
ejpam-6227	499	13	,	,	PUNCT
ejpam-6227	499	14	0.11	0.11	NUM
ejpam-6227	499	15	]	]	PUNCT
ejpam-6227	499	16			VERB
ejpam-6227	499	17	pid3	pid3	ADJ
ejpam-6227	499	18			NOUN
ejpam-6227	500	1	[	[	X
ejpam-6227	500	2	0.21	0.21	NUM
ejpam-6227	500	3	,	,	PUNCT
ejpam-6227	500	4	0.41	0.41	NUM
ejpam-6227	500	5	,	,	PUNCT
ejpam-6227	500	6	0.53	0.53	NUM
ejpam-6227	500	7	]	]	PUNCT
ejpam-6227	500	8	,	,	PUNCT
ejpam-6227	500	9	[	[	X
ejpam-6227	500	10	0.14	0.14	NUM
ejpam-6227	500	11	,	,	PUNCT
ejpam-6227	500	12	0.24	0.24	NUM
ejpam-6227	500	13	,	,	PUNCT
ejpam-6227	500	14	0.31	0.31	NUM
ejpam-6227	500	15	]	]	PUNCT
ejpam-6227	500	16			VERB
ejpam-6227	500	17			NOUN
ejpam-6227	501	1	[	[	X
ejpam-6227	501	2	0.11	0.11	NUM
ejpam-6227	501	3	,	,	PUNCT
ejpam-6227	501	4	0.21	0.21	NUM
ejpam-6227	501	5	,	,	PUNCT
ejpam-6227	501	6	0.33	0.33	NUM
ejpam-6227	501	7	]	]	PUNCT
ejpam-6227	501	8	,	,	PUNCT
ejpam-6227	501	9	[	[	X
ejpam-6227	501	10	0.024	0.024	NUM
ejpam-6227	501	11	,	,	PUNCT
ejpam-6227	501	12	0.044	0.044	NUM
ejpam-6227	501	13	,	,	PUNCT
ejpam-6227	501	14	0.11	0.11	NUM
ejpam-6227	501	15	]	]	PUNCT
ejpam-6227	501	16			VERB
ejpam-6227	501	17			NOUN
ejpam-6227	502	1	[	[	X
ejpam-6227	502	2	0.1	0.1	NUM
ejpam-6227	502	3	,	,	PUNCT
ejpam-6227	502	4	0.2	0.2	NUM
ejpam-6227	502	5	,	,	PUNCT
ejpam-6227	502	6	0.3	0.3	NUM
ejpam-6227	502	7	]	]	PUNCT
ejpam-6227	502	8	,	,	PUNCT
ejpam-6227	502	9	[	[	X
ejpam-6227	502	10	0.02	0.02	NUM
ejpam-6227	502	11	,	,	PUNCT
ejpam-6227	502	12	0.04	0.04	NUM
ejpam-6227	502	13	,	,	PUNCT
ejpam-6227	502	14	0.5	0.5	NUM
ejpam-6227	502	15	]	]	PUNCT
ejpam-6227	502	16			VERB
ejpam-6227	502	17	tif	tif	NOUN
ejpam-6227	502	18	decision	decision	NOUN
ejpam-6227	502	19	matrix	matrix	NOUN
ejpam-6227	502	20	table	table	NOUN
ejpam-6227	502	21	3	3	NUM
ejpam-6227	502	22	.	.	PUNCT
ejpam-6227	502	23	su	su	PROPN
ejpam-6227	503	1	ra	ra	PROPN
ejpam-6227	503	2	ch	ch	NOUN
ejpam-6227	503	3	pid1	pid1	PROPN
ejpam-6227	503	4			PROPN
ejpam-6227	504	1	[	[	X
ejpam-6227	504	2	0.11	0.11	NUM
ejpam-6227	504	3	,	,	PUNCT
ejpam-6227	504	4	0.12	0.12	NUM
ejpam-6227	504	5	,	,	PUNCT
ejpam-6227	504	6	0.13	0.13	NUM
ejpam-6227	504	7	]	]	PUNCT
ejpam-6227	504	8	,	,	PUNCT
ejpam-6227	504	9	[	[	X
ejpam-6227	504	10	0.1	0.1	NUM
ejpam-6227	504	11	,	,	PUNCT
ejpam-6227	504	12	0.2	0.2	NUM
ejpam-6227	504	13	,	,	PUNCT
ejpam-6227	504	14	0.12	0.12	NUM
ejpam-6227	504	15	]	]	PUNCT
ejpam-6227	504	16			VERB
ejpam-6227	504	17			NOUN
ejpam-6227	505	1	[	[	X
ejpam-6227	505	2	0.1	0.1	NUM
ejpam-6227	505	3	,	,	PUNCT
ejpam-6227	505	4	0.2	0.2	NUM
ejpam-6227	505	5	,	,	PUNCT
ejpam-6227	505	6	0.3	0.3	NUM
ejpam-6227	505	7	]	]	PUNCT
ejpam-6227	505	8	,	,	PUNCT
ejpam-6227	505	9	[	[	X
ejpam-6227	505	10	0.03	0.03	NUM
ejpam-6227	505	11	,	,	PUNCT
ejpam-6227	505	12	0.04	0.04	NUM
ejpam-6227	505	13	,	,	PUNCT
ejpam-6227	505	14	0.5	0.5	NUM
ejpam-6227	505	15			NOUN
ejpam-6227	505	16			NOUN
ejpam-6227	506	1	[	[	X
ejpam-6227	506	2	0.21	0.21	NUM
ejpam-6227	506	3	,	,	PUNCT
ejpam-6227	506	4	0.22	0.22	NUM
ejpam-6227	506	5	,	,	PUNCT
ejpam-6227	506	6	0.23	0.23	NUM
ejpam-6227	506	7	]	]	PUNCT
ejpam-6227	506	8	,	,	PUNCT
ejpam-6227	506	9	[	[	X
ejpam-6227	506	10	0.1	0.1	NUM
ejpam-6227	506	11	,	,	PUNCT
ejpam-6227	506	12	0.3	0.3	NUM
ejpam-6227	506	13	,	,	PUNCT
ejpam-6227	506	14	0.22	0.22	NUM
ejpam-6227	506	15	]	]	PUNCT
ejpam-6227	506	16			VERB
ejpam-6227	506	17	pid2	pid2	NOUN
ejpam-6227	506	18			NOUN
ejpam-6227	507	1	[	[	X
ejpam-6227	507	2	0.1	0.1	NUM
ejpam-6227	507	3	,	,	PUNCT
ejpam-6227	507	4	0.2	0.2	NUM
ejpam-6227	507	5	,	,	PUNCT
ejpam-6227	507	6	0.3	0.3	NUM
ejpam-6227	507	7	]	]	PUNCT
ejpam-6227	507	8	,	,	PUNCT
ejpam-6227	507	9	[	[	X
ejpam-6227	507	10	0.03	0.03	NUM
ejpam-6227	507	11	,	,	PUNCT
ejpam-6227	507	12	0.04	0.04	NUM
ejpam-6227	507	13	,	,	PUNCT
ejpam-6227	507	14	0.5	0.5	NUM
ejpam-6227	507	15			NOUN
ejpam-6227	507	16			NOUN
ejpam-6227	508	1	[	[	X
ejpam-6227	508	2	0.11	0.11	NUM
ejpam-6227	508	3	,	,	PUNCT
ejpam-6227	508	4	0.12	0.12	NUM
ejpam-6227	508	5	,	,	PUNCT
ejpam-6227	508	6	0.13	0.13	NUM
ejpam-6227	508	7	]	]	PUNCT
ejpam-6227	508	8	,	,	PUNCT
ejpam-6227	508	9	[	[	X
ejpam-6227	508	10	0.1	0.1	NUM
ejpam-6227	508	11	,	,	PUNCT
ejpam-6227	508	12	0.2	0.2	NUM
ejpam-6227	508	13	,	,	PUNCT
ejpam-6227	508	14	0.12	0.12	NUM
ejpam-6227	508	15	]	]	PUNCT
ejpam-6227	508	16			VERB
ejpam-6227	508	17			NOUN
ejpam-6227	509	1	[	[	X
ejpam-6227	509	2	0.21	0.21	NUM
ejpam-6227	509	3	,	,	PUNCT
ejpam-6227	509	4	0.22	0.22	NUM
ejpam-6227	509	5	,	,	PUNCT
ejpam-6227	509	6	0.23	0.23	NUM
ejpam-6227	509	7	]	]	PUNCT
ejpam-6227	509	8	,	,	PUNCT
ejpam-6227	510	1	[	[	X
ejpam-6227	510	2	0.1	0.1	NUM
ejpam-6227	510	3	,	,	PUNCT
ejpam-6227	510	4	0.3	0.3	NUM
ejpam-6227	510	5	,	,	PUNCT
ejpam-6227	510	6	0.22	0.22	NUM
ejpam-6227	510	7	]	]	PUNCT
ejpam-6227	510	8			VERB
ejpam-6227	510	9	pid3	pid3	ADJ
ejpam-6227	510	10			NOUN
ejpam-6227	511	1	[	[	X
ejpam-6227	511	2	0.21	0.21	NUM
ejpam-6227	511	3	,	,	PUNCT
ejpam-6227	511	4	0.22	0.22	NUM
ejpam-6227	511	5	,	,	PUNCT
ejpam-6227	511	6	0.23	0.23	NUM
ejpam-6227	511	7	]	]	PUNCT
ejpam-6227	511	8	,	,	PUNCT
ejpam-6227	512	1	[	[	X
ejpam-6227	512	2	0.1	0.1	NUM
ejpam-6227	512	3	,	,	PUNCT
ejpam-6227	512	4	0.3	0.3	NUM
ejpam-6227	512	5	,	,	PUNCT
ejpam-6227	512	6	0.22	0.22	NUM
ejpam-6227	512	7	]	]	PUNCT
ejpam-6227	512	8			VERB
ejpam-6227	512	9			NOUN
ejpam-6227	513	1	[	[	X
ejpam-6227	513	2	0.1	0.1	NUM
ejpam-6227	513	3	,	,	PUNCT
ejpam-6227	513	4	0.2	0.2	NUM
ejpam-6227	513	5	,	,	PUNCT
ejpam-6227	513	6	0.3	0.3	NUM
ejpam-6227	513	7	]	]	PUNCT
ejpam-6227	513	8	,	,	PUNCT
ejpam-6227	513	9	[	[	X
ejpam-6227	513	10	0.03	0.03	NUM
ejpam-6227	513	11	,	,	PUNCT
ejpam-6227	513	12	0.04	0.04	NUM
ejpam-6227	513	13	,	,	PUNCT
ejpam-6227	513	14	0.5	0.5	NUM
ejpam-6227	513	15			NOUN
ejpam-6227	513	16			NOUN
ejpam-6227	514	1	[	[	X
ejpam-6227	514	2	0.11	0.11	NUM
ejpam-6227	514	3	,	,	PUNCT
ejpam-6227	514	4	0.12	0.12	NUM
ejpam-6227	514	5	,	,	PUNCT
ejpam-6227	514	6	0.13	0.13	NUM
ejpam-6227	514	7	]	]	PUNCT
ejpam-6227	514	8	,	,	PUNCT
ejpam-6227	514	9	[	[	X
ejpam-6227	514	10	0.1	0.1	NUM
ejpam-6227	514	11	,	,	PUNCT
ejpam-6227	514	12	0.2	0.2	NUM
ejpam-6227	514	13	,	,	PUNCT
ejpam-6227	514	14	0.12	0.12	NUM
ejpam-6227	514	15	]	]	PUNCT
ejpam-6227	514	16			VERB
ejpam-6227	514	17	step	step	NOUN
ejpam-6227	514	18	2	2	NUM
ejpam-6227	514	19	:	:	PUNCT
ejpam-6227	514	20	describe	describe	VERB
ejpam-6227	514	21	the	the	DET
ejpam-6227	514	22	tiffwa	tiffwa	NOUN
ejpam-6227	514	23	operator	operator	NOUN
ejpam-6227	514	24	and	and	CCONJ
ejpam-6227	514	25	ξ	ξ	X
ejpam-6227	514	26	=	=	PUNCT
ejpam-6227	514	27	(	(	PUNCT
ejpam-6227	514	28	0.26	0.26	NUM
ejpam-6227	514	29	,	,	PUNCT
ejpam-6227	514	30	0.21	0.21	NUM
ejpam-6227	514	31	,	,	PUNCT
ejpam-6227	514	32	0.25	0.25	NUM
ejpam-6227	514	33	)	)	PUNCT
ejpam-6227	514	34	.	.	PUNCT
ejpam-6227	515	1	tiffwa	tiffwa	NOUN
ejpam-6227	515	2	operator	operator	NOUN
ejpam-6227	515	3	is	be	AUX
ejpam-6227	515	4	in	in	ADP
ejpam-6227	515	5	table	table	NOUN
ejpam-6227	515	6	4.tiffwa	4.tiffwa	NUM
ejpam-6227	515	7	operator	operator	NOUN
ejpam-6227	515	8	table	table	NOUN
ejpam-6227	515	9	4	4	NUM
ejpam-6227	515	10	.	.	PUNCT
ejpam-6227	515	11	a.	a.	PROPN
ejpam-6227	515	12	fahmi	fahmi	PROPN
ejpam-6227	515	13	et	et	PROPN
ejpam-6227	515	14	al	al	PROPN
ejpam-6227	515	15	.	.	PUNCT
ejpam-6227	515	16	/	/	SYM
ejpam-6227	515	17	eur	eur	PROPN
ejpam-6227	515	18	.	.	PUNCT
ejpam-6227	516	1	j.	j.	PROPN
ejpam-6227	516	2	pure	pure	PROPN
ejpam-6227	516	3	appl	appl	PROPN
ejpam-6227	516	4	.	.	PROPN
ejpam-6227	516	5	math	math	PROPN
ejpam-6227	516	6	,	,	PUNCT
ejpam-6227	516	7	18	18	NUM
ejpam-6227	516	8	(	(	PUNCT
ejpam-6227	516	9	3	3	NUM
ejpam-6227	516	10	)	)	PUNCT
ejpam-6227	516	11	(	(	PUNCT
ejpam-6227	516	12	2025	2025	NUM
ejpam-6227	516	13	)	)	PUNCT
ejpam-6227	516	14	,	,	PUNCT
ejpam-6227	516	15	6227	6227	NUM
ejpam-6227	516	16	29	29	NUM
ejpam-6227	516	17	of	of	ADP
ejpam-6227	516	18	37	37	NUM
ejpam-6227	516	19	su	su	PROPN
ejpam-6227	516	20	ra	ra	PROPN
ejpam-6227	516	21	ch	ch	NOUN
ejpam-6227	516	22	pid1	pid1	PROPN
ejpam-6227	516	23			PROPN
ejpam-6227	517	1	[	[	X
ejpam-6227	517	2	0.1001	0.1001	NUM
ejpam-6227	517	3	,	,	PUNCT
ejpam-6227	517	4	0.3698	0.3698	NUM
ejpam-6227	517	5	,	,	PUNCT
ejpam-6227	517	6	0.1478	0.1478	NUM
ejpam-6227	517	7	]	]	PUNCT
ejpam-6227	517	8	[	[	X
ejpam-6227	517	9	0.1983	0.1983	NUM
ejpam-6227	517	10	,	,	PUNCT
ejpam-6227	517	11	0.1258	0.1258	NUM
ejpam-6227	517	12	0.1092	0.1092	NUM
ejpam-6227	517	13			VERB
ejpam-6227	517	14			NOUN
ejpam-6227	518	1	[	[	X
ejpam-6227	518	2	0.1452	0.1452	NUM
ejpam-6227	518	3	,	,	PUNCT
ejpam-6227	518	4	0.7541	0.7541	NUM
ejpam-6227	518	5	,	,	PUNCT
ejpam-6227	518	6	0.9451	0.9451	NUM
ejpam-6227	518	7	]	]	PUNCT
ejpam-6227	518	8	[	[	X
ejpam-6227	518	9	0.1675	0.1675	NUM
ejpam-6227	518	10	,	,	PUNCT
ejpam-6227	518	11	0.2587	0.2587	NUM
ejpam-6227	518	12	0.1124	0.1124	NOUN
ejpam-6227	518	13			VERB
ejpam-6227	518	14			NOUN
ejpam-6227	519	1	[	[	X
ejpam-6227	519	2	0.2561	0.2561	NUM
ejpam-6227	519	3	,	,	PUNCT
ejpam-6227	519	4	0.0026	0.0026	NUM
ejpam-6227	519	5	,	,	PUNCT
ejpam-6227	519	6	0.4598	0.4598	NUM
ejpam-6227	519	7	[	[	SYM
ejpam-6227	519	8	0.2343	0.2343	NUM
ejpam-6227	519	9	,	,	PUNCT
ejpam-6227	519	10	0.4587	0.4587	NUM
ejpam-6227	519	11	,	,	PUNCT
ejpam-6227	519	12	0.2032	0.2032	NUM
ejpam-6227	519	13	]	]	PUNCT
ejpam-6227	519	14			VERB
ejpam-6227	519	15	pid2	pid2	NOUN
ejpam-6227	519	16			NOUN
ejpam-6227	520	1	[	[	X
ejpam-6227	520	2	0.3031	0.3031	NUM
ejpam-6227	520	3	,	,	PUNCT
ejpam-6227	520	4	0.7412	0.7412	NUM
ejpam-6227	520	5	,	,	PUNCT
ejpam-6227	520	6	0.9871	0.9871	NUM
ejpam-6227	520	7	]	]	X
ejpam-6227	520	8	[	[	X
ejpam-6227	520	9	0.3014	0.3014	NUM
ejpam-6227	520	10	,	,	PUNCT
ejpam-6227	520	11	0.3974	0.3974	NUM
ejpam-6227	520	12	,	,	PUNCT
ejpam-6227	520	13	0.2052	0.2052	NUM
ejpam-6227	520	14	]	]	PUNCT
ejpam-6227	520	15			VERB
ejpam-6227	520	16			NOUN
ejpam-6227	521	1	[	[	X
ejpam-6227	521	2	0.1698	0.1698	NUM
ejpam-6227	521	3	,	,	PUNCT
ejpam-6227	521	4	0.3012	0.3012	NUM
ejpam-6227	521	5	,	,	PUNCT
ejpam-6227	521	6	0.1231	0.1231	NUM
ejpam-6227	521	7	,	,	PUNCT
ejpam-6227	521	8	[	[	X
ejpam-6227	521	9	0.3453	0.3453	NUM
ejpam-6227	521	10	,	,	PUNCT
ejpam-6227	521	11	0.0198	0.0198	NUM
ejpam-6227	521	12	0.9872	0.9872	NUM
ejpam-6227	521	13			NOUN
ejpam-6227	521	14			NOUN
ejpam-6227	522	1	[	[	X
ejpam-6227	522	2	0.0001	0.0001	NUM
ejpam-6227	522	3	,	,	PUNCT
ejpam-6227	522	4	0.3698	0.3698	NUM
ejpam-6227	522	5	,	,	PUNCT
ejpam-6227	522	6	0.3014	0.3014	PRON
ejpam-6227	523	1	[	[	X
ejpam-6227	523	2	0.1004	0.1004	NUM
ejpam-6227	523	3	,	,	PUNCT
ejpam-6227	523	4	0.9014	0.9014	NUM
ejpam-6227	523	5	,	,	PUNCT
ejpam-6227	523	6	0.2123	0.2123	NUM
ejpam-6227	523	7			VERB
ejpam-6227	523	8	pips3	pips3	NOUN
ejpam-6227	523	9			NOUN
ejpam-6227	524	1	[	[	X
ejpam-6227	524	2	0.0541	0.0541	NUM
ejpam-6227	524	3	,	,	PUNCT
ejpam-6227	524	4	0.0131	0.0131	NUM
ejpam-6227	524	5	,	,	PUNCT
ejpam-6227	524	6	0.3214	0.3214	NUM
ejpam-6227	524	7	]	]	PUNCT
ejpam-6227	524	8	,	,	PUNCT
ejpam-6227	524	9	[	[	X
ejpam-6227	524	10	0.7412	0.7412	NUM
ejpam-6227	524	11	,	,	PUNCT
ejpam-6227	524	12	0.1134	0.1134	NUM
ejpam-6227	524	13	,	,	PUNCT
ejpam-6227	524	14	0.2359	0.2359	NUM
ejpam-6227	524	15	]	]	PUNCT
ejpam-6227	524	16			VERB
ejpam-6227	524	17			NOUN
ejpam-6227	525	1	[	[	X
ejpam-6227	525	2	0.3211	0.3211	NUM
ejpam-6227	525	3	,	,	PUNCT
ejpam-6227	525	4	0.0123	0.0123	NUM
ejpam-6227	525	5	,	,	PUNCT
ejpam-6227	525	6	0.0212	0.0212	NUM
ejpam-6227	525	7	]	]	PUNCT
ejpam-6227	525	8	,	,	PUNCT
ejpam-6227	526	1	[	[	X
ejpam-6227	526	2	0.4569	0.4569	NUM
ejpam-6227	526	3	,	,	PUNCT
ejpam-6227	526	4	0.0556	0.0556	NUM
ejpam-6227	526	5	,	,	PUNCT
ejpam-6227	526	6	0.0411	0.0411	NUM
ejpam-6227	526	7			NOUN
ejpam-6227	526	8			NOUN
ejpam-6227	527	1	[	[	X
ejpam-6227	527	2	0.3698	0.3698	NUM
ejpam-6227	527	3	,	,	PUNCT
ejpam-6227	527	4	0.4569	0.4569	NUM
ejpam-6227	527	5	,	,	PUNCT
ejpam-6227	527	6	0.3051	0.3051	NUM
ejpam-6227	527	7	]	]	PUNCT
ejpam-6227	527	8	,	,	PUNCT
ejpam-6227	528	1	[	[	X
ejpam-6227	528	2	0.3124	0.3124	NUM
ejpam-6227	528	3	,	,	PUNCT
ejpam-6227	528	4	0.3084	0.3084	NUM
ejpam-6227	528	5	,	,	PUNCT
ejpam-6227	528	6	0.2082	0.2082	NUM
ejpam-6227	528	7	]	]	PUNCT
ejpam-6227	528	8			VERB
ejpam-6227	528	9	step	step	NOUN
ejpam-6227	528	10	3	3	NUM
ejpam-6227	528	11	:	:	PUNCT
ejpam-6227	528	12	the	the	DET
ejpam-6227	528	13	tfcm	tfcm	PROPN
ejpam-6227	528	14	algorithms	algorithms	PROPN
ejpam-6227	528	15	work	work	VERB
ejpam-6227	528	16	on	on	ADP
ejpam-6227	528	17	tiffwa	tiffwa	NOUN
ejpam-6227	528	18	operator	operator	NOUN
ejpam-6227	528	19	u	u	NOUN
ejpam-6227	528	20	=	=	PUNCT
ejpam-6227	529	1	[	[	X
ejpam-6227	529	2	uic]c=1	uic]c=1	NOUN
ejpam-6227	529	3	...	...	PUNCT
ejpam-6227	529	4	c	c	NOUN
ejpam-6227	529	5	i=1	i=1	PROPN
ejpam-6227	529	6	...	...	PUNCT
ejpam-6227	529	7	n.	n.	NOUN
ejpam-6227	529	8	tfcm	tfcm	VERB
ejpam-6227	530	1	algorithms	algorithms	PROPN
ejpam-6227	530	2	work	work	VERB
ejpam-6227	530	3	on	on	ADP
ejpam-6227	530	4	tiffwa	tiffwa	NOUN
ejpam-6227	530	5	operator	operator	NOUN
ejpam-6227	530	6	in	in	ADP
ejpam-6227	530	7	table	table	NOUN
ejpam-6227	530	8	5	5	NUM
ejpam-6227	530	9	.	.	PUNCT
ejpam-6227	531	1	tfcm	tfcm	PROPN
ejpam-6227	531	2	algorithms	algorithms	PROPN
ejpam-6227	531	3	table	table	NOUN
ejpam-6227	531	4	5	5	NUM
ejpam-6227	531	5	.	.	PUNCT
ejpam-6227	531	6	su	su	PROPN
ejpam-6227	532	1	ra	ra	PROPN
ejpam-6227	532	2	ch	ch	NOUN
ejpam-6227	532	3	pid1	pid1	PROPN
ejpam-6227	532	4	0.4	0.4	NUM
ejpam-6227	532	5	0.2	0.2	NUM
ejpam-6227	532	6	0.1	0.1	NUM
ejpam-6227	532	7	pid2	pid2	NOUN
ejpam-6227	532	8	0.02	0.02	NUM
ejpam-6227	532	9	0.12	0.12	NUM
ejpam-6227	532	10	0.03	0.03	NUM
ejpam-6227	532	11	pid3	pid3	NOUN
ejpam-6227	532	12	0.01	0.01	NUM
ejpam-6227	532	13	0.23	0.23	NUM
ejpam-6227	532	14	0.01	0.01	NUM
ejpam-6227	532	15	step	step	NOUN
ejpam-6227	532	16	4	4	NUM
ejpam-6227	532	17	:	:	PUNCT
ejpam-6227	532	18	using	use	VERB
ejpam-6227	532	19	k	k	ADJ
ejpam-6227	532	20	-	-	PUNCT
ejpam-6227	532	21	means	mean	VERB
ejpam-6227	532	22	clusting	clusting	NOUN
ejpam-6227	532	23	value	value	NOUN
ejpam-6227	532	24	is	be	AUX
ejpam-6227	532	25	defined	define	VERB
ejpam-6227	532	26	as	as	ADP
ejpam-6227	532	27	cluster	cluster	NOUN
ejpam-6227	532	28	’s	’s	PART
ejpam-6227	532	29	parameters	parameter	NOUN
ejpam-6227	532	30	in	in	ADP
ejpam-6227	532	31	table	table	NOUN
ejpam-6227	532	32	6	6	NUM
ejpam-6227	532	33	.	.	PUNCT
ejpam-6227	533	1	k	k	X
ejpam-6227	533	2	-	-	PUNCT
ejpam-6227	533	3	means	mean	VERB
ejpam-6227	533	4	clusting	cluste	VERB
ejpam-6227	533	5	table	table	NOUN
ejpam-6227	533	6	6	6	NUM
ejpam-6227	533	7	su	su	NOUN
ejpam-6227	533	8	ra	ra	PROPN
ejpam-6227	533	9	ch	ch	NOUN
ejpam-6227	533	10	pid1	pid1	PROPN
ejpam-6227	533	11			PROPN
ejpam-6227	534	1	[	[	X
ejpam-6227	534	2	0.1232	0.1232	NUM
ejpam-6227	534	3	,	,	PUNCT
ejpam-6227	534	4	0.2563	0.2563	NUM
ejpam-6227	534	5	,	,	PUNCT
ejpam-6227	534	6	0.3698	0.3698	NUM
ejpam-6227	534	7	]	]	PUNCT
ejpam-6227	534	8	,	,	PUNCT
ejpam-6227	534	9	[	[	X
ejpam-6227	534	10	0.1258	0.1258	NUM
ejpam-6227	534	11	,	,	PUNCT
ejpam-6227	534	12	0.0987	0.0987	NUM
ejpam-6227	534	13	,	,	PUNCT
ejpam-6227	534	14	0.2587	0.2587	NUM
ejpam-6227	534	15	]	]	PUNCT
ejpam-6227	534	16			VERB
ejpam-6227	534	17			NOUN
ejpam-6227	535	1	[	[	X
ejpam-6227	535	2	0.1232	0.1232	NUM
ejpam-6227	535	3	,	,	PUNCT
ejpam-6227	535	4	0.2563	0.2563	NUM
ejpam-6227	535	5	,	,	PUNCT
ejpam-6227	535	6	0.3698	0.3698	NUM
ejpam-6227	535	7	]	]	PUNCT
ejpam-6227	535	8	,	,	PUNCT
ejpam-6227	535	9	[	[	X
ejpam-6227	535	10	0.1258	0.1258	NUM
ejpam-6227	535	11	,	,	PUNCT
ejpam-6227	535	12	0.0987	0.0987	NUM
ejpam-6227	535	13	,	,	PUNCT
ejpam-6227	535	14	0.2587	0.2587	NUM
ejpam-6227	535	15	]	]	PUNCT
ejpam-6227	535	16			VERB
ejpam-6227	535	17			NOUN
ejpam-6227	536	1	[	[	X
ejpam-6227	536	2	0.1209	0.1209	NUM
ejpam-6227	536	3	,	,	PUNCT
ejpam-6227	536	4	0.1163	0.1163	NUM
ejpam-6227	536	5	,	,	PUNCT
ejpam-6227	536	6	0.9898	0.9898	NUM
ejpam-6227	536	7	]	]	PUNCT
ejpam-6227	536	8	,	,	PUNCT
ejpam-6227	536	9	[	[	X
ejpam-6227	536	10	0.8518	0.8518	NUM
ejpam-6227	536	11	,	,	PUNCT
ejpam-6227	536	12	0.0967	0.0967	NUM
ejpam-6227	536	13	,	,	PUNCT
ejpam-6227	536	14	0.1477	0.1477	NUM
ejpam-6227	536	15	]	]	PUNCT
ejpam-6227	536	16			VERB
ejpam-6227	536	17	pid2	pid2	NOUN
ejpam-6227	536	18			NOUN
ejpam-6227	537	1	[	[	X
ejpam-6227	537	2	0.1963	0.1963	NUM
ejpam-6227	537	3	,	,	PUNCT
ejpam-6227	537	4	0.2258	0.2258	NUM
ejpam-6227	537	5	,	,	PUNCT
ejpam-6227	537	6	0.3741	0.3741	NUM
ejpam-6227	537	7	]	]	PUNCT
ejpam-6227	537	8	,	,	PUNCT
ejpam-6227	537	9	[	[	X
ejpam-6227	537	10	0.1753	0.1753	NUM
ejpam-6227	537	11	,	,	PUNCT
ejpam-6227	537	12	0.3577	0.3577	NUM
ejpam-6227	537	13	,	,	PUNCT
ejpam-6227	537	14	0.9877	0.9877	NUM
ejpam-6227	537	15	]	]	PUNCT
ejpam-6227	537	16			VERB
ejpam-6227	537	17			NOUN
ejpam-6227	538	1	[	[	X
ejpam-6227	538	2	0.1942	0.1942	NUM
ejpam-6227	538	3	,	,	PUNCT
ejpam-6227	538	4	0.2753	0.2753	NUM
ejpam-6227	538	5	,	,	PUNCT
ejpam-6227	538	6	0.3148	0.3148	NUM
ejpam-6227	538	7	]	]	PUNCT
ejpam-6227	538	8	,	,	PUNCT
ejpam-6227	538	9	[	[	X
ejpam-6227	538	10	0.1559	0.1559	NUM
ejpam-6227	538	11	,	,	PUNCT
ejpam-6227	538	12	0.7534	0.7534	NUM
ejpam-6227	538	13	,	,	PUNCT
ejpam-6227	538	14	0.2741	0.2741	NUM
ejpam-6227	538	15	]	]	PUNCT
ejpam-6227	538	16			VERB
ejpam-6227	538	17			NOUN
ejpam-6227	539	1	[	[	X
ejpam-6227	539	2	0.0002	0.0002	NUM
ejpam-6227	539	3	,	,	PUNCT
ejpam-6227	539	4	0.0143	0.0143	NUM
ejpam-6227	539	5	,	,	PUNCT
ejpam-6227	539	6	0.4568	0.4568	NUM
ejpam-6227	539	7	]	]	PUNCT
ejpam-6227	539	8	,	,	PUNCT
ejpam-6227	539	9	[	[	X
ejpam-6227	539	10	0.1008	0.1008	NUM
ejpam-6227	539	11	,	,	PUNCT
ejpam-6227	539	12	0.0904	0.0904	NUM
ejpam-6227	539	13	,	,	PUNCT
ejpam-6227	539	14	0.2014	0.2014	NUM
ejpam-6227	539	15	]	]	PUNCT
ejpam-6227	539	16			VERB
ejpam-6227	539	17	pid3	pid3	ADJ
ejpam-6227	539	18			NOUN
ejpam-6227	540	1	[	[	X
ejpam-6227	540	2	0.4432	0.4432	NUM
ejpam-6227	540	3	,	,	PUNCT
ejpam-6227	540	4	0.6963	0.6963	NUM
ejpam-6227	540	5	,	,	PUNCT
ejpam-6227	540	6	0.3448	0.3448	NUM
ejpam-6227	540	7	]	]	PUNCT
ejpam-6227	540	8	,	,	PUNCT
ejpam-6227	540	9	[	[	X
ejpam-6227	540	10	0.1148	0.1148	NUM
ejpam-6227	540	11	,	,	PUNCT
ejpam-6227	540	12	0.0753	0.0753	NUM
ejpam-6227	540	13	,	,	PUNCT
ejpam-6227	540	14	0.2369	0.2369	NUM
ejpam-6227	540	15	]	]	PUNCT
ejpam-6227	540	16			VERB
ejpam-6227	540	17			NOUN
ejpam-6227	541	1	[	[	X
ejpam-6227	541	2	0.1753	0.1753	NUM
ejpam-6227	541	3	,	,	PUNCT
ejpam-6227	541	4	0.2159	0.2159	NUM
ejpam-6227	541	5	,	,	PUNCT
ejpam-6227	541	6	0.3149	0.3149	NUM
ejpam-6227	541	7	]	]	PUNCT
ejpam-6227	541	8	,	,	PUNCT
ejpam-6227	541	9	[	[	X
ejpam-6227	541	10	0.1157	0.1157	NUM
ejpam-6227	541	11	,	,	PUNCT
ejpam-6227	541	12	0.0741	0.0741	NUM
ejpam-6227	541	13	,	,	PUNCT
ejpam-6227	541	14	0.2358	0.2358	NUM
ejpam-6227	541	15	]	]	PUNCT
ejpam-6227	541	16			VERB
ejpam-6227	541	17			NOUN
ejpam-6227	542	1	[	[	X
ejpam-6227	542	2	0.1154	0.1154	NUM
ejpam-6227	542	3	,	,	PUNCT
ejpam-6227	542	4	0.2258	0.2258	NUM
ejpam-6227	542	5	,	,	PUNCT
ejpam-6227	542	6	0.3354	0.3354	NUM
ejpam-6227	542	7	]	]	PUNCT
ejpam-6227	542	8	,	,	PUNCT
ejpam-6227	542	9	[	[	X
ejpam-6227	542	10	0.1145	0.1145	NUM
ejpam-6227	542	11	,	,	PUNCT
ejpam-6227	542	12	0.0985	0.0985	NUM
ejpam-6227	542	13	,	,	PUNCT
ejpam-6227	542	14	0.2147	0.2147	NUM
ejpam-6227	542	15	]	]	PUNCT
ejpam-6227	542	16			VERB
ejpam-6227	542	17	step	step	NOUN
ejpam-6227	542	18	5	5	NUM
ejpam-6227	542	19	:	:	PUNCT
ejpam-6227	542	20	calculate	calculate	VERB
ejpam-6227	542	21	the	the	DET
ejpam-6227	542	22	cluster	cluster	NOUN
ejpam-6227	542	23	center	center	NOUN
ejpam-6227	542	24	to	to	PART
ejpam-6227	542	25	find	find	VERB
ejpam-6227	542	26	the	the	DET
ejpam-6227	542	27	centroid	centroid	NOUN
ejpam-6227	542	28	c1	c1	PROPN
ejpam-6227	542	29	=	=	PROPN
ejpam-6227	542	30	0.2345	0.2345	PROPN
ejpam-6227	542	31	,	,	PUNCT
ejpam-6227	542	32	c2	c2	PROPN
ejpam-6227	542	33	=	=	SYM
ejpam-6227	542	34	0.1034	0.1034	NUM
ejpam-6227	542	35	,	,	PUNCT
ejpam-6227	542	36	c3	c3	PROPN
ejpam-6227	542	37	=	=	PROPN
ejpam-6227	542	38	0.3456	0.3456	PROPN
ejpam-6227	542	39	.	.	PUNCT
ejpam-6227	543	1	step	step	NOUN
ejpam-6227	543	2	6	6	NUM
ejpam-6227	543	3	:	:	PUNCT
ejpam-6227	543	4	find	find	VERB
ejpam-6227	543	5	out	out	ADP
ejpam-6227	543	6	the	the	DET
ejpam-6227	543	7	distance	distance	NOUN
ejpam-6227	543	8	of	of	ADP
ejpam-6227	543	9	each	each	DET
ejpam-6227	543	10	point	point	NOUN
ejpam-6227	543	11	from	from	ADP
ejpam-6227	543	12	the	the	DET
ejpam-6227	543	13	centroid	centroid	NOUN
ejpam-6227	543	14	in	in	ADP
ejpam-6227	543	15	table	table	NOUN
ejpam-6227	543	16	7	7	NUM
ejpam-6227	543	17	.	.	PUNCT
ejpam-6227	543	18	a.	a.	PROPN
ejpam-6227	543	19	fahmi	fahmi	PROPN
ejpam-6227	543	20	et	et	PROPN
ejpam-6227	543	21	al	al	PROPN
ejpam-6227	543	22	.	.	PUNCT
ejpam-6227	543	23	/	/	SYM
ejpam-6227	543	24	eur	eur	PROPN
ejpam-6227	543	25	.	.	PUNCT
ejpam-6227	544	1	j.	j.	PROPN
ejpam-6227	544	2	pure	pure	PROPN
ejpam-6227	544	3	appl	appl	PROPN
ejpam-6227	544	4	.	.	PROPN
ejpam-6227	544	5	math	math	PROPN
ejpam-6227	544	6	,	,	PUNCT
ejpam-6227	544	7	18	18	NUM
ejpam-6227	544	8	(	(	PUNCT
ejpam-6227	544	9	3	3	NUM
ejpam-6227	544	10	)	)	PUNCT
ejpam-6227	544	11	(	(	PUNCT
ejpam-6227	544	12	2025	2025	NUM
ejpam-6227	544	13	)	)	PUNCT
ejpam-6227	544	14	,	,	PUNCT
ejpam-6227	544	15	6227	6227	NUM
ejpam-6227	544	16	30	30	NUM
ejpam-6227	544	17	of	of	ADP
ejpam-6227	544	18	37	37	NUM
ejpam-6227	544	19	centroid	centroid	NOUN
ejpam-6227	544	20	table	table	NOUN
ejpam-6227	544	21	7	7	NUM
ejpam-6227	544	22	pid1	pid1	PROPN
ejpam-6227	544	23	[	[	PUNCT
ejpam-6227	545	1	[	[	X
ejpam-6227	545	2	0.1256	0.1256	NUM
ejpam-6227	545	3	,	,	PUNCT
ejpam-6227	545	4	0.1016	0.1016	NUM
ejpam-6227	545	5	,	,	PUNCT
ejpam-6227	545	6	0.1852	0.1852	NUM
ejpam-6227	545	7	]	]	PUNCT
ejpam-6227	545	8	,	,	PUNCT
ejpam-6227	545	9	[	[	X
ejpam-6227	545	10	0.9874	0.9874	NUM
ejpam-6227	545	11	,	,	PUNCT
ejpam-6227	545	12	0.1984	0.1984	NUM
ejpam-6227	545	13	,	,	PUNCT
ejpam-6227	545	14	0.1397	0.1397	NUM
ejpam-6227	545	15	]	]	X
ejpam-6227	545	16	]	]	X
ejpam-6227	545	17	pid2	pid2	PROPN
ejpam-6227	545	18	[	[	PUNCT
ejpam-6227	545	19	[	[	X
ejpam-6227	545	20	0.1036	0.1036	NUM
ejpam-6227	545	21	,	,	PUNCT
ejpam-6227	545	22	0.1298	0.1298	NUM
ejpam-6227	545	23	,	,	PUNCT
ejpam-6227	545	24	0.1987	0.1987	NUM
ejpam-6227	545	25	]	]	X
ejpam-6227	545	26	,	,	PUNCT
ejpam-6227	545	27	[	[	X
ejpam-6227	545	28	0.9012	0.9012	NUM
ejpam-6227	545	29	,	,	PUNCT
ejpam-6227	545	30	0.1387	0.1387	NUM
ejpam-6227	545	31	,	,	PUNCT
ejpam-6227	545	32	0.1989	0.1989	NUM
ejpam-6227	545	33	]	]	PUNCT
ejpam-6227	545	34	]	]	PUNCT
ejpam-6227	546	1	pid3	pid3	PROPN
ejpam-6227	546	2	[	[	PUNCT
ejpam-6227	546	3	[	[	X
ejpam-6227	546	4	0.1003	0.1003	NUM
ejpam-6227	546	5	,	,	PUNCT
ejpam-6227	546	6	0.1009	0.1009	NUM
ejpam-6227	546	7	,	,	PUNCT
ejpam-6227	546	8	0.0002	0.0002	NUM
ejpam-6227	546	9	]	]	PUNCT
ejpam-6227	546	10	,	,	PUNCT
ejpam-6227	546	11	[	[	X
ejpam-6227	546	12	0.0694	0.0694	NUM
ejpam-6227	546	13	,	,	PUNCT
ejpam-6227	546	14	0.9874	0.9874	NUM
ejpam-6227	546	15	,	,	PUNCT
ejpam-6227	546	16	0.3219	0.3219	NUM
ejpam-6227	546	17	]	]	PUNCT
ejpam-6227	546	18	]	]	PUNCT
ejpam-6227	546	19	step	step	NOUN
ejpam-6227	546	20	7	7	NUM
ejpam-6227	546	21	:	:	PUNCT
ejpam-6227	546	22	calculate	calculate	VERB
ejpam-6227	546	23	the	the	DET
ejpam-6227	546	24	score	score	NOUN
ejpam-6227	546	25	function	function	NOUN
ejpam-6227	546	26	dh1	dh1	PROPN
ejpam-6227	546	27	=	=	SYM
ejpam-6227	546	28	0.0091	0.0091	NUM
ejpam-6227	546	29	,	,	PUNCT
ejpam-6227	546	30	dh2	dh2	PROPN
ejpam-6227	546	31	=	=	PROPN
ejpam-6227	546	32	0.6412	0.6412	NUM
ejpam-6227	546	33	,	,	PUNCT
ejpam-6227	546	34	dh3	dh3	PROPN
ejpam-6227	546	35	=	=	PUNCT
ejpam-6227	546	36	0.7056	0.7056	PROPN
ejpam-6227	546	37	.	.	PUNCT
ejpam-6227	547	1	step	step	NOUN
ejpam-6227	547	2	8	8	NUM
ejpam-6227	547	3	:	:	PUNCT
ejpam-6227	547	4	find	find	VERB
ejpam-6227	547	5	the	the	DET
ejpam-6227	547	6	ranking	ranking	NOUN
ejpam-6227	547	7	dh3	dh3	PROPN
ejpam-6227	547	8	>	>	X
ejpam-6227	547	9	dh2	dh2	PROPN
ejpam-6227	547	10	>	>	X
ejpam-6227	547	11	dh1	dh1	PROPN
ejpam-6227	548	1	and	and	CCONJ
ejpam-6227	548	2	dh3	dh3	PROPN
ejpam-6227	548	3	is	be	AUX
ejpam-6227	548	4	the	the	DET
ejpam-6227	548	5	best	good	ADJ
ejpam-6227	548	6	.	.	PUNCT
ejpam-6227	549	1	score	score	NOUN
ejpam-6227	549	2	function	function	NOUN
ejpam-6227	549	3	of	of	ADP
ejpam-6227	549	4	figure	figure	NOUN
ejpam-6227	549	5	5	5	NUM
ejpam-6227	549	6	is	be	AUX
ejpam-6227	549	7	different	different	ADJ
ejpam-6227	549	8	ranking	ranking	NOUN
ejpam-6227	549	9	.	.	PUNCT
ejpam-6227	550	1	because	because	SCONJ
ejpam-6227	550	2	figure	figure	NOUN
ejpam-6227	550	3	5	5	NUM
ejpam-6227	550	4	’s	’s	PART
ejpam-6227	550	5	ranking	ranking	NOUN
ejpam-6227	550	6	seems	seem	VERB
ejpam-6227	550	7	to	to	PART
ejpam-6227	550	8	alter	alter	VERB
ejpam-6227	550	9	depending	depend	VERB
ejpam-6227	550	10	on	on	ADP
ejpam-6227	550	11	the	the	DET
ejpam-6227	550	12	score	score	NOUN
ejpam-6227	550	13	function	function	NOUN
ejpam-6227	550	14	.	.	PUNCT
ejpam-6227	551	1	this	this	DET
ejpam-6227	551	2	disparity	disparity	NOUN
ejpam-6227	551	3	results	result	VERB
ejpam-6227	551	4	from	from	ADP
ejpam-6227	551	5	different	different	ADJ
ejpam-6227	551	6	evaluation	evaluation	NOUN
ejpam-6227	551	7	standards	standard	NOUN
ejpam-6227	551	8	being	be	AUX
ejpam-6227	551	9	applied	apply	VERB
ejpam-6227	551	10	:	:	PUNCT
ejpam-6227	551	11	dh3	dh3	PROPN
ejpam-6227	551	12	is	be	AUX
ejpam-6227	551	13	the	the	DET
ejpam-6227	551	14	first	first	ADJ
ejpam-6227	551	15	ranking	ranking	NOUN
ejpam-6227	551	16	,	,	PUNCT
ejpam-6227	551	17	dh2	dh2	PROPN
ejpam-6227	551	18	is	be	AUX
ejpam-6227	551	19	the	the	DET
ejpam-6227	551	20	second	second	ADV
ejpam-6227	551	21	ranking	ranking	NOUN
ejpam-6227	551	22	and	and	CCONJ
ejpam-6227	551	23	dh1	dh1	PROPN
ejpam-6227	551	24	is	be	AUX
ejpam-6227	551	25	the	the	DET
ejpam-6227	551	26	last	last	ADJ
ejpam-6227	551	27	ranking	ranking	NOUN
ejpam-6227	551	28	.	.	PUNCT
ejpam-6227	552	1	figure	figure	NOUN
ejpam-6227	552	2	5	5	NUM
ejpam-6227	552	3	is	be	AUX
ejpam-6227	552	4	given	give	VERB
ejpam-6227	552	5	as	as	ADP
ejpam-6227	552	6	below	below	ADP
ejpam-6227	552	7	6.1	6.1	NUM
ejpam-6227	552	8	.	.	PUNCT
ejpam-6227	553	1	comparsion	comparsion	NOUN
ejpam-6227	553	2	technique	technique	NOUN
ejpam-6227	553	3	with	with	ADP
ejpam-6227	553	4	existing	exist	VERB
ejpam-6227	553	5	way	way	NOUN
ejpam-6227	553	6	different	different	ADJ
ejpam-6227	553	7	existing	exist	VERB
ejpam-6227	553	8	ways	way	NOUN
ejpam-6227	553	9	are	be	AUX
ejpam-6227	553	10	written	write	VERB
ejpam-6227	553	11	below	below	ADP
ejpam-6227	553	12	in	in	ADP
ejpam-6227	553	13	table	table	NOUN
ejpam-6227	553	14	8	8	NUM
ejpam-6227	553	15	.	.	PUNCT
ejpam-6227	553	16	table	table	NOUN
ejpam-6227	553	17	8	8	NUM
ejpam-6227	553	18	existing	exist	VERB
ejpam-6227	553	19	techniques	technique	NOUN
ejpam-6227	553	20	.	.	PUNCT
ejpam-6227	554	1	a.	a.	PROPN
ejpam-6227	554	2	fahmi	fahmi	PROPN
ejpam-6227	554	3	et	et	PROPN
ejpam-6227	554	4	al	al	PROPN
ejpam-6227	554	5	.	.	PUNCT
ejpam-6227	554	6	/	/	SYM
ejpam-6227	554	7	eur	eur	PROPN
ejpam-6227	554	8	.	.	PUNCT
ejpam-6227	555	1	j.	j.	PROPN
ejpam-6227	555	2	pure	pure	PROPN
ejpam-6227	555	3	appl	appl	PROPN
ejpam-6227	555	4	.	.	PROPN
ejpam-6227	555	5	math	math	PROPN
ejpam-6227	555	6	,	,	PUNCT
ejpam-6227	555	7	18	18	NUM
ejpam-6227	555	8	(	(	PUNCT
ejpam-6227	555	9	3	3	NUM
ejpam-6227	555	10	)	)	PUNCT
ejpam-6227	555	11	(	(	PUNCT
ejpam-6227	555	12	2025	2025	NUM
ejpam-6227	555	13	)	)	PUNCT
ejpam-6227	555	14	,	,	PUNCT
ejpam-6227	555	15	6227	6227	NUM
ejpam-6227	555	16	31	31	NUM
ejpam-6227	555	17	of	of	ADP
ejpam-6227	555	18	37	37	NUM
ejpam-6227	555	19	methods	method	NOUN
ejpam-6227	555	20	average	average	ADJ
ejpam-6227	555	21	operator	operator	NOUN
ejpam-6227	555	22	geometric	geometric	ADJ
ejpam-6227	555	23	operator	operator	NOUN
ejpam-6227	555	24	mcdm	mcdm	ADJ
ejpam-6227	556	1	[	[	X
ejpam-6227	556	2	46	46	NUM
ejpam-6227	556	3	]	]	PUNCT
ejpam-6227	556	4			X
ejpam-6227	556	5	dh3	dh3	VERB
ejpam-6227	556	6	>	>	X
ejpam-6227	556	7	dh2	dh2	PROPN
ejpam-6227	556	8	>	>	X
ejpam-6227	556	9	dh1	dh1	PROPN
ejpam-6227	556	10			PART
ejpam-6227	556	11			NOUN
ejpam-6227	556	12	dh3	dh3	VERB
ejpam-6227	556	13	>	>	X
ejpam-6227	556	14	dh2	dh2	PROPN
ejpam-6227	556	15	>	>	X
ejpam-6227	556	16	dh1	dh1	PROPN
ejpam-6227	556	17			NUM
ejpam-6227	556	18	similarity	similarity	NOUN
ejpam-6227	556	19	measure	measure	NOUN
ejpam-6227	556	20	[	[	X
ejpam-6227	556	21	20	20	NUM
ejpam-6227	556	22	]	]	PUNCT
ejpam-6227	556	23			X
ejpam-6227	556	24	dh3	dh3	VERB
ejpam-6227	556	25	>	>	X
ejpam-6227	556	26	dh2	dh2	PROPN
ejpam-6227	556	27	>	>	X
ejpam-6227	556	28	dh1	dh1	PROPN
ejpam-6227	556	29			PART
ejpam-6227	556	30			NOUN
ejpam-6227	556	31	dh3	dh3	VERB
ejpam-6227	556	32	>	>	X
ejpam-6227	556	33	dh2	dh2	PROPN
ejpam-6227	556	34	>	>	X
ejpam-6227	556	35	dh1	dh1	PROPN
ejpam-6227	556	36			NUM
ejpam-6227	556	37	t	t	PROPN
ejpam-6227	556	38	-	-	PUNCT
ejpam-6227	556	39	sfs	sfs	NOUN
ejpam-6227	556	40	operators	operator	NOUN
ejpam-6227	557	1	[	[	X
ejpam-6227	557	2	47	47	NUM
ejpam-6227	557	3	]	]	PUNCT
ejpam-6227	557	4			X
ejpam-6227	557	5	dh3	dh3	VERB
ejpam-6227	557	6	>	>	X
ejpam-6227	557	7	dh2	dh2	PROPN
ejpam-6227	557	8	>	>	X
ejpam-6227	557	9	dh1	dh1	PROPN
ejpam-6227	557	10			PART
ejpam-6227	557	11			NOUN
ejpam-6227	557	12	dh3	dh3	VERB
ejpam-6227	557	13	>	>	X
ejpam-6227	557	14	dh2	dh2	PROPN
ejpam-6227	557	15	>	>	X
ejpam-6227	557	16	dh1	dh1	PROPN
ejpam-6227	557	17			NUM
ejpam-6227	557	18	aggregation	aggregation	NOUN
ejpam-6227	557	19	operators	operator	NOUN
ejpam-6227	557	20	[	[	X
ejpam-6227	557	21	5	5	X
ejpam-6227	557	22	]	]	PUNCT
ejpam-6227	557	23			X
ejpam-6227	557	24	dh3	dh3	VERB
ejpam-6227	557	25	>	>	X
ejpam-6227	557	26	dh2	dh2	PROPN
ejpam-6227	557	27	>	>	X
ejpam-6227	557	28	dh1	dh1	PROPN
ejpam-6227	557	29			PART
ejpam-6227	557	30			NOUN
ejpam-6227	557	31	dh3	dh3	VERB
ejpam-6227	557	32	>	>	X
ejpam-6227	557	33	dh2	dh2	PROPN
ejpam-6227	557	34	>	>	X
ejpam-6227	557	35	dh1	dh1	PROPN
ejpam-6227	557	36			NUM
ejpam-6227	557	37	hamacher	hamacher	NOUN
ejpam-6227	557	38	operators	operator	NOUN
ejpam-6227	557	39	[	[	X
ejpam-6227	557	40	46	46	NUM
ejpam-6227	557	41	]	]	PUNCT
ejpam-6227	557	42			X
ejpam-6227	557	43	dh3	dh3	VERB
ejpam-6227	557	44	>	>	X
ejpam-6227	557	45	dh2	dh2	PROPN
ejpam-6227	557	46	>	>	X
ejpam-6227	557	47	dh1	dh1	PROPN
ejpam-6227	557	48			PART
ejpam-6227	557	49			NOUN
ejpam-6227	557	50	dh3	dh3	VERB
ejpam-6227	557	51	>	>	X
ejpam-6227	557	52	dh2	dh2	PROPN
ejpam-6227	557	53	>	>	X
ejpam-6227	557	54	dh1	dh1	PROPN
ejpam-6227	557	55			NUM
ejpam-6227	557	56	particle	particle	NOUN
ejpam-6227	557	57	swarm	swarm	NOUN
ejpam-6227	557	58	[	[	X
ejpam-6227	557	59	50	50	NUM
ejpam-6227	557	60	]	]	PUNCT
ejpam-6227	557	61			X
ejpam-6227	557	62	dh3	dh3	VERB
ejpam-6227	557	63	>	>	X
ejpam-6227	557	64	dh2	dh2	PROPN
ejpam-6227	557	65	>	>	X
ejpam-6227	557	66	dh1	dh1	PROPN
ejpam-6227	557	67			PART
ejpam-6227	557	68			NOUN
ejpam-6227	557	69	dh3	dh3	VERB
ejpam-6227	557	70	>	>	X
ejpam-6227	557	71	dh2	dh2	PROPN
ejpam-6227	557	72	>	>	X
ejpam-6227	557	73	dh1	dh1	PROPN
ejpam-6227	557	74			NUM
ejpam-6227	557	75	intuitionistic	intuitionistic	ADJ
ejpam-6227	557	76	operators	operator	NOUN
ejpam-6227	557	77	[	[	X
ejpam-6227	557	78	11	11	NUM
ejpam-6227	557	79	]	]	PUNCT
ejpam-6227	557	80			X
ejpam-6227	557	81	dh3	dh3	VERB
ejpam-6227	557	82	>	>	X
ejpam-6227	557	83	dh2	dh2	PROPN
ejpam-6227	557	84	>	>	X
ejpam-6227	557	85	dh1	dh1	PROPN
ejpam-6227	557	86			PART
ejpam-6227	557	87			NOUN
ejpam-6227	557	88	dh3	dh3	VERB
ejpam-6227	557	89	>	>	X
ejpam-6227	557	90	dh2	dh2	PROPN
ejpam-6227	557	91	>	>	X
ejpam-6227	557	92	dh1	dh1	PROPN
ejpam-6227	557	93			NUM
ejpam-6227	557	94	iffpa	iffpa	NOUN
ejpam-6227	557	95	operators	operator	NOUN
ejpam-6227	557	96	[	[	X
ejpam-6227	557	97	31	31	NUM
ejpam-6227	557	98	]	]	PUNCT
ejpam-6227	557	99			X
ejpam-6227	557	100	dh3	dh3	VERB
ejpam-6227	557	101	>	>	X
ejpam-6227	557	102	dh2	dh2	PROPN
ejpam-6227	557	103	>	>	X
ejpam-6227	557	104	dh1	dh1	PROPN
ejpam-6227	557	105			PART
ejpam-6227	557	106			NOUN
ejpam-6227	557	107	dh3	dh3	VERB
ejpam-6227	557	108	>	>	X
ejpam-6227	557	109	dh2	dh2	PROPN
ejpam-6227	557	110	>	>	X
ejpam-6227	557	111	dh1	dh1	PROPN
ejpam-6227	557	112			NUM
ejpam-6227	557	113	6.2	6.2	NUM
ejpam-6227	557	114	.	.	PUNCT
ejpam-6227	558	1	validity	validity	NOUN
ejpam-6227	558	2	way	way	NOUN
ejpam-6227	558	3	in	in	ADP
ejpam-6227	558	4	this	this	DET
ejpam-6227	558	5	subsection	subsection	NOUN
ejpam-6227	558	6	,	,	PUNCT
ejpam-6227	558	7	we	we	PRON
ejpam-6227	558	8	present	present	VERB
ejpam-6227	558	9	the	the	DET
ejpam-6227	558	10	proposed	propose	VERB
ejpam-6227	558	11	method	method	NOUN
ejpam-6227	558	12	for	for	ADP
ejpam-6227	558	13	validating	validate	VERB
ejpam-6227	558	14	the	the	DET
ejpam-6227	558	15	aggregating	aggregating	NOUN
ejpam-6227	558	16	operator	operator	NOUN
ejpam-6227	558	17	,	,	PUNCT
ejpam-6227	558	18	as	as	SCONJ
ejpam-6227	558	19	shown	show	VERB
ejpam-6227	558	20	in	in	ADP
ejpam-6227	558	21	table	table	NOUN
ejpam-6227	558	22	9	9	NUM
ejpam-6227	558	23	.	.	NOUN
ejpam-6227	558	24	ways	way	NOUN
ejpam-6227	558	25	average	average	ADJ
ejpam-6227	558	26	operator	operator	NOUN
ejpam-6227	558	27	geometric	geometric	ADJ
ejpam-6227	558	28	operator	operator	NOUN
ejpam-6227	558	29	hybrid	hybrid	NOUN
ejpam-6227	558	30	proposed	propose	VERB
ejpam-6227	558	31	technique	technique	NOUN
ejpam-6227	558	32	✓	✓	ADJ
ejpam-6227	558	33	✓	✓	ADJ
ejpam-6227	558	34	✓	✓	ADJ
ejpam-6227	558	35	muirhead	muirhead	NOUN
ejpam-6227	558	36	mean	mean	NOUN
ejpam-6227	558	37	-	-	PUNCT
ejpam-6227	558	38	based	base	VERB
ejpam-6227	558	39	2	2	NUM
ejpam-6227	558	40	-	-	PUNCT
ejpam-6227	558	41	tuple	tuple	NOUN
ejpam-6227	558	42	linguistic	linguistic	NOUN
ejpam-6227	558	43	[	[	X
ejpam-6227	558	44	48	48	NUM
ejpam-6227	558	45	]	]	PUNCT
ejpam-6227	558	46	✓	✓	ADJ
ejpam-6227	558	47	✓	✓	ADJ
ejpam-6227	558	48	✓	✓	ADJ
ejpam-6227	558	49	pythagorean	pythagorean	ADJ
ejpam-6227	558	50	fuzzy	fuzzy	ADJ
ejpam-6227	558	51	topsis	topsis	NOUN
ejpam-6227	558	52	method	method	NOUN
ejpam-6227	558	53	[	[	X
ejpam-6227	558	54	60	60	NUM
ejpam-6227	558	55	]	]	SYM
ejpam-6227	558	56	✓	✓	ADJ
ejpam-6227	559	1	✓	✓	ADJ
ejpam-6227	559	2	✓	✓	ADJ
ejpam-6227	559	3	pythagorean	pythagorean	PROPN
ejpam-6227	559	4	dombi	dombi	NOUN
ejpam-6227	559	5	method	method	NOUN
ejpam-6227	559	6	[	[	X
ejpam-6227	559	7	59	59	NUM
ejpam-6227	559	8	]	]	PUNCT
ejpam-6227	559	9	✓	✓	ADJ
ejpam-6227	559	10	✓	✓	ADJ
ejpam-6227	559	11	✓	✓	ADJ
ejpam-6227	559	12	complex	complex	ADJ
ejpam-6227	559	13	pythagorean	pythagorean	ADJ
ejpam-6227	559	14	fuzzy	fuzzy	ADJ
ejpam-6227	559	15	information	information	NOUN
ejpam-6227	559	16	[	[	X
ejpam-6227	559	17	49	49	NUM
ejpam-6227	559	18	]	]	PUNCT
ejpam-6227	559	19	✓	✓	ADJ
ejpam-6227	559	20	✓	✓	ADJ
ejpam-6227	559	21	✓	✓	ADJ
ejpam-6227	559	22	pltm	pltm	NOUN
ejpam-6227	559	23	operators	operator	NOUN
ejpam-6227	559	24	[	[	X
ejpam-6227	559	25	32	32	NUM
ejpam-6227	559	26	]	]	PUNCT
ejpam-6227	559	27	✓	✓	ADJ
ejpam-6227	559	28	✓	✓	ADJ
ejpam-6227	559	29	✓	✓	ADJ
ejpam-6227	559	30	table	table	NOUN
ejpam-6227	559	31	9	9	NUM
ejpam-6227	559	32	presents	present	VERB
ejpam-6227	559	33	a	a	DET
ejpam-6227	559	34	comparative	comparative	ADJ
ejpam-6227	559	35	overview	overview	NOUN
ejpam-6227	559	36	of	of	ADP
ejpam-6227	559	37	different	different	ADJ
ejpam-6227	559	38	decision	decision	NOUN
ejpam-6227	559	39	-	-	PUNCT
ejpam-6227	559	40	making	make	VERB
ejpam-6227	559	41	techniques	technique	NOUN
ejpam-6227	559	42	based	base	VERB
ejpam-6227	559	43	on	on	ADP
ejpam-6227	559	44	their	their	PRON
ejpam-6227	559	45	use	use	NOUN
ejpam-6227	559	46	of	of	ADP
ejpam-6227	559	47	various	various	ADJ
ejpam-6227	559	48	aggregation	aggregation	NOUN
ejpam-6227	559	49	operators	operator	NOUN
ejpam-6227	559	50	—	—	PUNCT
ejpam-6227	559	51	namely	namely	ADV
ejpam-6227	559	52	,	,	PUNCT
ejpam-6227	559	53	average	average	ADJ
ejpam-6227	559	54	,	,	PUNCT
ejpam-6227	559	55	geometric	geometric	ADJ
ejpam-6227	559	56	,	,	PUNCT
ejpam-6227	559	57	and	and	CCONJ
ejpam-6227	559	58	hybrid	hybrid	ADJ
ejpam-6227	559	59	operators	operator	NOUN
ejpam-6227	559	60	.	.	PUNCT
ejpam-6227	560	1	the	the	DET
ejpam-6227	560	2	methods	method	NOUN
ejpam-6227	560	3	listed	list	VERB
ejpam-6227	560	4	include	include	VERB
ejpam-6227	560	5	both	both	CCONJ
ejpam-6227	560	6	the	the	DET
ejpam-6227	560	7	proposed	propose	VERB
ejpam-6227	560	8	technique	technique	NOUN
ejpam-6227	560	9	and	and	CCONJ
ejpam-6227	560	10	several	several	ADJ
ejpam-6227	560	11	existing	exist	VERB
ejpam-6227	560	12	approaches	approach	NOUN
ejpam-6227	560	13	from	from	ADP
ejpam-6227	560	14	the	the	DET
ejpam-6227	560	15	literature	literature	NOUN
ejpam-6227	560	16	.	.	PUNCT
ejpam-6227	561	1	the	the	DET
ejpam-6227	561	2	"	"	PUNCT
ejpam-6227	561	3	√	√	PROPN
ejpam-6227	561	4	"	"	PUNCT
ejpam-6227	561	5	(	(	PUNCT
ejpam-6227	561	6	check	check	NOUN
ejpam-6227	561	7	mark	mark	NOUN
ejpam-6227	561	8	)	)	PUNCT
ejpam-6227	561	9	symbol	symbol	NOUN
ejpam-6227	561	10	in	in	ADP
ejpam-6227	561	11	the	the	DET
ejpam-6227	561	12	table	table	NOUN
ejpam-6227	561	13	indicates	indicate	VERB
ejpam-6227	561	14	that	that	SCONJ
ejpam-6227	561	15	the	the	DET
ejpam-6227	561	16	corresponding	corresponding	ADJ
ejpam-6227	561	17	method	method	NOUN
ejpam-6227	561	18	utilizes	utilize	VERB
ejpam-6227	561	19	that	that	DET
ejpam-6227	561	20	specific	specific	ADJ
ejpam-6227	561	21	type	type	NOUN
ejpam-6227	561	22	of	of	ADP
ejpam-6227	561	23	aggregation	aggregation	NOUN
ejpam-6227	561	24	operator	operator	NOUN
ejpam-6227	561	25	.	.	PUNCT
ejpam-6227	562	1	for	for	ADP
ejpam-6227	562	2	example	example	NOUN
ejpam-6227	562	3	,	,	PUNCT
ejpam-6227	562	4	if	if	SCONJ
ejpam-6227	562	5	a	a	DET
ejpam-6227	562	6	method	method	NOUN
ejpam-6227	562	7	has	have	VERB
ejpam-6227	562	8	a	a	DET
ejpam-6227	562	9	√	√	NOUN
ejpam-6227	562	10	under	under	ADP
ejpam-6227	562	11	"	"	PUNCT
ejpam-6227	562	12	average	average	ADJ
ejpam-6227	562	13	operator	operator	NOUN
ejpam-6227	562	14	,	,	PUNCT
ejpam-6227	562	15	"	"	PUNCT
ejpam-6227	562	16	it	it	PRON
ejpam-6227	562	17	means	mean	VERB
ejpam-6227	562	18	that	that	SCONJ
ejpam-6227	562	19	the	the	DET
ejpam-6227	562	20	method	method	NOUN
ejpam-6227	562	21	applies	apply	VERB
ejpam-6227	562	22	an	an	DET
ejpam-6227	562	23	average	average	ADJ
ejpam-6227	562	24	-	-	PUNCT
ejpam-6227	562	25	based	base	VERB
ejpam-6227	562	26	aggregation	aggregation	NOUN
ejpam-6227	562	27	approach	approach	NOUN
ejpam-6227	562	28	.	.	PUNCT
ejpam-6227	563	1	this	this	DET
ejpam-6227	563	2	table	table	NOUN
ejpam-6227	563	3	is	be	AUX
ejpam-6227	563	4	intended	intend	VERB
ejpam-6227	563	5	to	to	PART
ejpam-6227	563	6	highlight	highlight	VERB
ejpam-6227	563	7	the	the	DET
ejpam-6227	563	8	versatility	versatility	NOUN
ejpam-6227	563	9	and	and	CCONJ
ejpam-6227	563	10	comprehensiveness	comprehensiveness	NOUN
ejpam-6227	563	11	of	of	ADP
ejpam-6227	563	12	the	the	DET
ejpam-6227	563	13	proposed	propose	VERB
ejpam-6227	563	14	technique	technique	NOUN
ejpam-6227	563	15	in	in	ADP
ejpam-6227	563	16	comparison	comparison	NOUN
ejpam-6227	563	17	to	to	ADP
ejpam-6227	563	18	existing	exist	VERB
ejpam-6227	563	19	methods	method	NOUN
ejpam-6227	563	20	,	,	PUNCT
ejpam-6227	563	21	demonstrating	demonstrate	VERB
ejpam-6227	563	22	its	its	PRON
ejpam-6227	563	23	capability	capability	NOUN
ejpam-6227	563	24	to	to	PART
ejpam-6227	563	25	support	support	VERB
ejpam-6227	563	26	all	all	DET
ejpam-6227	563	27	three	three	NUM
ejpam-6227	563	28	types	type	NOUN
ejpam-6227	563	29	of	of	ADP
ejpam-6227	563	30	aggregation	aggregation	NOUN
ejpam-6227	563	31	operators	operator	NOUN
ejpam-6227	563	32	.	.	PUNCT
ejpam-6227	564	1	a.	a.	PROPN
ejpam-6227	564	2	fahmi	fahmi	PROPN
ejpam-6227	564	3	et	et	PROPN
ejpam-6227	564	4	al	al	PROPN
ejpam-6227	564	5	.	.	PUNCT
ejpam-6227	564	6	/	/	SYM
ejpam-6227	564	7	eur	eur	PROPN
ejpam-6227	564	8	.	.	PUNCT
ejpam-6227	565	1	j.	j.	PROPN
ejpam-6227	565	2	pure	pure	PROPN
ejpam-6227	565	3	appl	appl	PROPN
ejpam-6227	565	4	.	.	PROPN
ejpam-6227	565	5	math	math	PROPN
ejpam-6227	565	6	,	,	PUNCT
ejpam-6227	565	7	18	18	NUM
ejpam-6227	565	8	(	(	PUNCT
ejpam-6227	565	9	3	3	NUM
ejpam-6227	565	10	)	)	PUNCT
ejpam-6227	565	11	(	(	PUNCT
ejpam-6227	565	12	2025	2025	NUM
ejpam-6227	565	13	)	)	PUNCT
ejpam-6227	565	14	,	,	PUNCT
ejpam-6227	565	15	6227	6227	NUM
ejpam-6227	565	16	32	32	NUM
ejpam-6227	565	17	of	of	ADP
ejpam-6227	565	18	37	37	NUM
ejpam-6227	565	19	6.3	6.3	NUM
ejpam-6227	565	20	.	.	PUNCT
ejpam-6227	566	1	results	result	NOUN
ejpam-6227	566	2	and	and	CCONJ
ejpam-6227	566	3	discussion	discussion	NOUN
ejpam-6227	566	4	there	there	PRON
ejpam-6227	566	5	are	be	VERB
ejpam-6227	566	6	several	several	ADJ
ejpam-6227	566	7	reasons	reason	NOUN
ejpam-6227	566	8	why	why	SCONJ
ejpam-6227	566	9	the	the	DET
ejpam-6227	566	10	proposed	propose	VERB
ejpam-6227	566	11	method	method	NOUN
ejpam-6227	566	12	is	be	AUX
ejpam-6227	566	13	superior	superior	ADJ
ejpam-6227	566	14	to	to	ADP
ejpam-6227	566	15	traditional	traditional	ADJ
ejpam-6227	566	16	approaches	approach	NOUN
ejpam-6227	566	17	in	in	ADP
ejpam-6227	566	18	renewable	renewable	ADJ
ejpam-6227	566	19	energy	energy	NOUN
ejpam-6227	566	20	project	project	NOUN
ejpam-6227	566	21	selection	selection	NOUN
ejpam-6227	566	22	.	.	PUNCT
ejpam-6227	567	1	conventional	conventional	ADJ
ejpam-6227	567	2	models	model	NOUN
ejpam-6227	567	3	typically	typically	ADV
ejpam-6227	567	4	rely	rely	VERB
ejpam-6227	567	5	on	on	ADP
ejpam-6227	567	6	fixed	fix	VERB
ejpam-6227	567	7	,	,	PUNCT
ejpam-6227	567	8	static	static	ADJ
ejpam-6227	567	9	data	datum	NOUN
ejpam-6227	567	10	and	and	CCONJ
ejpam-6227	567	11	fail	fail	VERB
ejpam-6227	567	12	to	to	PART
ejpam-6227	567	13	accommodate	accommodate	VERB
ejpam-6227	567	14	the	the	DET
ejpam-6227	567	15	dynamic	dynamic	ADJ
ejpam-6227	567	16	nature	nature	NOUN
ejpam-6227	567	17	of	of	ADP
ejpam-6227	567	18	energy	energy	NOUN
ejpam-6227	567	19	markets	market	NOUN
ejpam-6227	567	20	,	,	PUNCT
ejpam-6227	567	21	fluctuating	fluctuate	VERB
ejpam-6227	567	22	resource	resource	NOUN
ejpam-6227	567	23	availability	availability	NOUN
ejpam-6227	567	24	,	,	PUNCT
ejpam-6227	567	25	and	and	CCONJ
ejpam-6227	567	26	evolving	evolve	VERB
ejpam-6227	567	27	environmental	environmental	ADJ
ejpam-6227	567	28	conditions	condition	NOUN
ejpam-6227	567	29	.	.	PUNCT
ejpam-6227	568	1	to	to	PART
ejpam-6227	568	2	improve	improve	VERB
ejpam-6227	568	3	the	the	DET
ejpam-6227	568	4	effectiveness	effectiveness	NOUN
ejpam-6227	568	5	of	of	ADP
ejpam-6227	568	6	current	current	ADJ
ejpam-6227	568	7	energy	energy	NOUN
ejpam-6227	568	8	project	project	NOUN
ejpam-6227	568	9	evaluation	evaluation	NOUN
ejpam-6227	568	10	systems	system	NOUN
ejpam-6227	568	11	,	,	PUNCT
ejpam-6227	568	12	integrating	integrate	VERB
ejpam-6227	568	13	tiff	tiff	NOUN
ejpam-6227	568	14	aggregation	aggregation	NOUN
ejpam-6227	568	15	operators	operator	NOUN
ejpam-6227	568	16	can	can	AUX
ejpam-6227	568	17	process	process	VERB
ejpam-6227	568	18	complex	complex	ADJ
ejpam-6227	568	19	,	,	PUNCT
ejpam-6227	568	20	uncertain	uncertain	ADJ
ejpam-6227	568	21	data	datum	NOUN
ejpam-6227	568	22	such	such	ADJ
ejpam-6227	568	23	as	as	ADP
ejpam-6227	568	24	fluctuating	fluctuate	VERB
ejpam-6227	568	25	renewable	renewable	ADJ
ejpam-6227	568	26	energy	energy	NOUN
ejpam-6227	568	27	production	production	NOUN
ejpam-6227	568	28	,	,	PUNCT
ejpam-6227	568	29	varying	vary	VERB
ejpam-6227	568	30	demand	demand	NOUN
ejpam-6227	568	31	,	,	PUNCT
ejpam-6227	568	32	and	and	CCONJ
ejpam-6227	568	33	technology	technology	NOUN
ejpam-6227	568	34	performance	performance	NOUN
ejpam-6227	568	35	metrics	metric	NOUN
ejpam-6227	568	36	.	.	PUNCT
ejpam-6227	569	1	provide	provide	VERB
ejpam-6227	569	2	comprehensive	comprehensive	ADJ
ejpam-6227	569	3	guidelines	guideline	NOUN
ejpam-6227	569	4	for	for	ADP
ejpam-6227	569	5	energy	energy	NOUN
ejpam-6227	569	6	project	project	NOUN
ejpam-6227	569	7	evaluators	evaluator	NOUN
ejpam-6227	569	8	to	to	PART
ejpam-6227	569	9	efficiently	efficiently	ADV
ejpam-6227	569	10	use	use	VERB
ejpam-6227	569	11	systems	system	NOUN
ejpam-6227	569	12	based	base	VERB
ejpam-6227	569	13	on	on	ADP
ejpam-6227	569	14	tiff	tiff	NOUN
ejpam-6227	569	15	aggregation	aggregation	NOUN
ejpam-6227	569	16	operators	operator	NOUN
ejpam-6227	569	17	.	.	PUNCT
ejpam-6227	570	1	stress	stress	VERB
ejpam-6227	570	2	the	the	DET
ejpam-6227	570	3	importance	importance	NOUN
ejpam-6227	570	4	of	of	ADP
ejpam-6227	570	5	accurate	accurate	ADJ
ejpam-6227	570	6	data	datum	NOUN
ejpam-6227	570	7	interpretation	interpretation	NOUN
ejpam-6227	570	8	and	and	CCONJ
ejpam-6227	570	9	highlight	highlight	VERB
ejpam-6227	570	10	the	the	DET
ejpam-6227	570	11	advantages	advantage	NOUN
ejpam-6227	570	12	of	of	ADP
ejpam-6227	570	13	triangular	triangular	NOUN
ejpam-6227	570	14	intuitionistic	intuitionistic	ADJ
ejpam-6227	570	15	fuzzy	fuzzy	ADJ
ejpam-6227	570	16	methods	method	NOUN
ejpam-6227	570	17	for	for	ADP
ejpam-6227	570	18	optimizing	optimize	VERB
ejpam-6227	570	19	the	the	DET
ejpam-6227	570	20	selection	selection	NOUN
ejpam-6227	570	21	of	of	ADP
ejpam-6227	570	22	renewable	renewable	ADJ
ejpam-6227	570	23	energy	energy	NOUN
ejpam-6227	570	24	projects	project	NOUN
ejpam-6227	570	25	.	.	PUNCT
ejpam-6227	571	1	to	to	PART
ejpam-6227	571	2	validate	validate	VERB
ejpam-6227	571	3	the	the	DET
ejpam-6227	571	4	reliability	reliability	NOUN
ejpam-6227	571	5	and	and	CCONJ
ejpam-6227	571	6	practicality	practicality	NOUN
ejpam-6227	571	7	of	of	ADP
ejpam-6227	571	8	tiff	tiff	NOUN
ejpam-6227	571	9	aggregation	aggregation	NOUN
ejpam-6227	571	10	operators	operator	NOUN
ejpam-6227	571	11	in	in	ADP
ejpam-6227	571	12	real	real	ADJ
ejpam-6227	571	13	-	-	PUNCT
ejpam-6227	571	14	world	world	NOUN
ejpam-6227	571	15	scenarios	scenario	NOUN
ejpam-6227	571	16	,	,	PUNCT
ejpam-6227	571	17	conduct	conduct	VERB
ejpam-6227	571	18	pilot	pilot	NOUN
ejpam-6227	571	19	evaluations	evaluation	NOUN
ejpam-6227	571	20	of	of	ADP
ejpam-6227	571	21	renewable	renewable	ADJ
ejpam-6227	571	22	energy	energy	NOUN
ejpam-6227	571	23	projects	project	NOUN
ejpam-6227	571	24	across	across	ADP
ejpam-6227	571	25	various	various	ADJ
ejpam-6227	571	26	contexts	contexts	NOUN
ejpam-6227	571	27	.	.	PUNCT
ejpam-6227	572	1	gather	gather	VERB
ejpam-6227	572	2	critical	critical	ADJ
ejpam-6227	572	3	feedback	feedback	NOUN
ejpam-6227	572	4	and	and	CCONJ
ejpam-6227	572	5	data	datum	NOUN
ejpam-6227	572	6	during	during	ADP
ejpam-6227	572	7	these	these	DET
ejpam-6227	572	8	evaluations	evaluation	NOUN
ejpam-6227	572	9	to	to	PART
ejpam-6227	572	10	refine	refine	VERB
ejpam-6227	572	11	and	and	CCONJ
ejpam-6227	572	12	improve	improve	VERB
ejpam-6227	572	13	the	the	DET
ejpam-6227	572	14	methodology	methodology	NOUN
ejpam-6227	572	15	before	before	ADP
ejpam-6227	572	16	large	large	ADJ
ejpam-6227	572	17	-	-	PUNCT
ejpam-6227	572	18	scale	scale	NOUN
ejpam-6227	572	19	implementation	implementation	NOUN
ejpam-6227	572	20	.	.	PUNCT
ejpam-6227	573	1	collaborate	collaborate	VERB
ejpam-6227	573	2	with	with	ADP
ejpam-6227	573	3	regulatory	regulatory	ADJ
ejpam-6227	573	4	authorities	authority	NOUN
ejpam-6227	573	5	to	to	PART
ejpam-6227	573	6	ensure	ensure	VERB
ejpam-6227	573	7	that	that	SCONJ
ejpam-6227	573	8	the	the	DET
ejpam-6227	573	9	integration	integration	NOUN
ejpam-6227	573	10	of	of	ADP
ejpam-6227	573	11	tiff	tiff	NOUN
ejpam-6227	573	12	aggregation	aggregation	NOUN
ejpam-6227	573	13	operators	operator	NOUN
ejpam-6227	573	14	in	in	ADP
ejpam-6227	573	15	renewable	renewable	ADJ
ejpam-6227	573	16	energy	energy	NOUN
ejpam-6227	573	17	project	project	NOUN
ejpam-6227	573	18	selection	selection	NOUN
ejpam-6227	573	19	complies	complie	NOUN
ejpam-6227	573	20	with	with	ADP
ejpam-6227	573	21	all	all	DET
ejpam-6227	573	22	necessary	necessary	ADJ
ejpam-6227	573	23	standards	standard	NOUN
ejpam-6227	573	24	and	and	CCONJ
ejpam-6227	573	25	regulations	regulation	NOUN
ejpam-6227	573	26	.	.	PUNCT
ejpam-6227	574	1	6.4	6.4	NUM
ejpam-6227	574	2	.	.	PUNCT
ejpam-6227	574	3	advantages	advantage	NOUN
ejpam-6227	574	4	there	there	PRON
ejpam-6227	574	5	are	be	VERB
ejpam-6227	574	6	numerous	numerous	ADJ
ejpam-6227	574	7	important	important	ADJ
ejpam-6227	574	8	benefits	benefit	NOUN
ejpam-6227	574	9	to	to	ADP
ejpam-6227	574	10	using	use	VERB
ejpam-6227	574	11	triangular	triangular	NOUN
ejpam-6227	574	12	intuitionistic	intuitionistic	ADJ
ejpam-6227	574	13	fuzzy	fuzzy	ADJ
ejpam-6227	574	14	frank	frank	ADJ
ejpam-6227	574	15	aggregation	aggregation	NOUN
ejpam-6227	574	16	operators	operator	NOUN
ejpam-6227	574	17	in	in	ADP
ejpam-6227	574	18	decision	decision	NOUN
ejpam-6227	574	19	-	-	PUNCT
ejpam-6227	574	20	making	making	NOUN
ejpam-6227	574	21	for	for	ADP
ejpam-6227	574	22	selecting	select	VERB
ejpam-6227	574	23	renewable	renewable	ADJ
ejpam-6227	574	24	energy	energy	NOUN
ejpam-6227	574	25	projects	project	NOUN
ejpam-6227	574	26	.	.	PUNCT
ejpam-6227	575	1	•	•	NUM
ejpam-6227	575	2	a	a	DET
ejpam-6227	575	3	clear	clear	ADJ
ejpam-6227	575	4	demonstration	demonstration	NOUN
ejpam-6227	575	5	of	of	ADP
ejpam-6227	575	6	multi	multi	ADJ
ejpam-6227	575	7	-	-	ADJ
ejpam-6227	575	8	criteria	criterion	NOUN
ejpam-6227	575	9	decision	decision	NOUN
ejpam-6227	575	10	-	-	PUNCT
ejpam-6227	575	11	making	making	NOUN
ejpam-6227	575	12	(	(	PUNCT
ejpam-6227	575	13	mcdm	mcdm	ADJ
ejpam-6227	575	14	)	)	PUNCT
ejpam-6227	575	15	evidence	evidence	NOUN
ejpam-6227	575	16	in	in	ADP
ejpam-6227	575	17	a	a	DET
ejpam-6227	575	18	nonverbal	nonverbal	ADJ
ejpam-6227	575	19	manner	manner	NOUN
ejpam-6227	575	20	using	use	VERB
ejpam-6227	575	21	the	the	DET
ejpam-6227	575	22	tif	tif	PROPN
ejpam-6227	575	23	method	method	NOUN
ejpam-6227	575	24	.	.	PUNCT
ejpam-6227	576	1	the	the	DET
ejpam-6227	576	2	tif	tif	PROPN
ejpam-6227	576	3	method	method	NOUN
ejpam-6227	576	4	has	have	AUX
ejpam-6227	576	5	proven	prove	VERB
ejpam-6227	576	6	to	to	PART
ejpam-6227	576	7	be	be	AUX
ejpam-6227	576	8	essential	essential	ADJ
ejpam-6227	576	9	for	for	ADP
ejpam-6227	576	10	clarifying	clarify	VERB
ejpam-6227	576	11	uncertain	uncertain	ADJ
ejpam-6227	576	12	and	and	CCONJ
ejpam-6227	576	13	incomplete	incomplete	ADJ
ejpam-6227	576	14	project	project	NOUN
ejpam-6227	576	15	evaluation	evaluation	NOUN
ejpam-6227	576	16	results	result	NOUN
ejpam-6227	576	17	.	.	PUNCT
ejpam-6227	577	1	•	•	NUM
ejpam-6227	577	2	tiff	tiff	NOUN
ejpam-6227	577	3	aggregation	aggregation	NOUN
ejpam-6227	577	4	operators	operator	NOUN
ejpam-6227	577	5	successfully	successfully	ADV
ejpam-6227	577	6	integrate	integrate	VERB
ejpam-6227	577	7	imprecise	imprecise	ADV
ejpam-6227	577	8	and	and	CCONJ
ejpam-6227	577	9	heterogeneous	heterogeneous	ADJ
ejpam-6227	577	10	data	datum	NOUN
ejpam-6227	577	11	,	,	PUNCT
ejpam-6227	577	12	enhancing	enhance	VERB
ejpam-6227	577	13	the	the	DET
ejpam-6227	577	14	accuracy	accuracy	NOUN
ejpam-6227	577	15	of	of	ADP
ejpam-6227	577	16	renewable	renewable	ADJ
ejpam-6227	577	17	energy	energy	NOUN
ejpam-6227	577	18	project	project	NOUN
ejpam-6227	577	19	selection	selection	NOUN
ejpam-6227	577	20	forecasts	forecast	NOUN
ejpam-6227	577	21	.	.	PUNCT
ejpam-6227	578	1	this	this	DET
ejpam-6227	578	2	results	result	VERB
ejpam-6227	578	3	in	in	ADP
ejpam-6227	578	4	more	more	ADV
ejpam-6227	578	5	precise	precise	ADJ
ejpam-6227	578	6	project	project	NOUN
ejpam-6227	578	7	evaluations	evaluation	NOUN
ejpam-6227	578	8	,	,	PUNCT
ejpam-6227	578	9	particularly	particularly	ADV
ejpam-6227	578	10	in	in	ADP
ejpam-6227	578	11	complex	complex	ADJ
ejpam-6227	578	12	scenarios	scenario	NOUN
ejpam-6227	578	13	with	with	ADP
ejpam-6227	578	14	fluctuating	fluctuate	VERB
ejpam-6227	578	15	energy	energy	NOUN
ejpam-6227	578	16	generation	generation	NOUN
ejpam-6227	578	17	,	,	PUNCT
ejpam-6227	578	18	variable	variable	ADJ
ejpam-6227	578	19	demand	demand	NOUN
ejpam-6227	578	20	,	,	PUNCT
ejpam-6227	578	21	and	and	CCONJ
ejpam-6227	578	22	diverse	diverse	ADJ
ejpam-6227	578	23	environmental	environmental	ADJ
ejpam-6227	578	24	conditions	condition	NOUN
ejpam-6227	578	25	.	.	PUNCT
ejpam-6227	579	1	•	•	NUM
ejpam-6227	579	2	tiffao	tiffao	ADV
ejpam-6227	579	3	enables	enable	VERB
ejpam-6227	579	4	consistent	consistent	ADJ
ejpam-6227	579	5	decision	decision	NOUN
ejpam-6227	579	6	-	-	PUNCT
ejpam-6227	579	7	making	making	NOUN
ejpam-6227	579	8	across	across	ADP
ejpam-6227	579	9	various	various	ADJ
ejpam-6227	579	10	project	project	NOUN
ejpam-6227	579	11	selection	selection	NOUN
ejpam-6227	579	12	scenarios	scenario	NOUN
ejpam-6227	579	13	by	by	ADP
ejpam-6227	579	14	combining	combine	VERB
ejpam-6227	579	15	multiple	multiple	ADJ
ejpam-6227	579	16	criteria	criterion	NOUN
ejpam-6227	579	17	in	in	ADP
ejpam-6227	579	18	a	a	DET
ejpam-6227	579	19	more	more	ADV
ejpam-6227	579	20	advanced	advanced	ADJ
ejpam-6227	579	21	way	way	NOUN
ejpam-6227	579	22	.	.	PUNCT
ejpam-6227	580	1	as	as	ADP
ejpam-6227	580	2	a	a	DET
ejpam-6227	580	3	result	result	NOUN
ejpam-6227	580	4	,	,	PUNCT
ejpam-6227	580	5	the	the	DET
ejpam-6227	580	6	reliability	reliability	NOUN
ejpam-6227	580	7	of	of	ADP
ejpam-6227	580	8	selecting	select	VERB
ejpam-6227	580	9	optimal	optimal	ADJ
ejpam-6227	580	10	energy	energy	NOUN
ejpam-6227	580	11	projects	project	NOUN
ejpam-6227	580	12	is	be	AUX
ejpam-6227	580	13	increased	increase	VERB
ejpam-6227	580	14	,	,	PUNCT
ejpam-6227	580	15	and	and	CCONJ
ejpam-6227	580	16	variability	variability	NOUN
ejpam-6227	580	17	in	in	ADP
ejpam-6227	580	18	our	our	PRON
ejpam-6227	580	19	is	be	AUX
ejpam-6227	580	20	minimized	minimize	VERB
ejpam-6227	580	21	.	.	PUNCT
ejpam-6227	581	1	•	•	NUM
ejpam-6227	581	2	mcdm	mcdm	ADJ
ejpam-6227	581	3	becomes	become	VERB
ejpam-6227	581	4	more	more	ADV
ejpam-6227	581	5	transparent	transparent	ADJ
ejpam-6227	581	6	and	and	CCONJ
ejpam-6227	581	7	easier	easy	ADJ
ejpam-6227	581	8	to	to	PART
ejpam-6227	581	9	understand	understand	VERB
ejpam-6227	581	10	due	due	ADP
ejpam-6227	581	11	to	to	ADP
ejpam-6227	581	12	tiffo	tiffo	PROPN
ejpam-6227	581	13	’s	’s	PART
ejpam-6227	581	14	structured	structured	ADJ
ejpam-6227	581	15	approach	approach	NOUN
ejpam-6227	581	16	to	to	ADP
ejpam-6227	581	17	data	datum	NOUN
ejpam-6227	581	18	aggregation	aggregation	NOUN
ejpam-6227	581	19	.	.	PUNCT
ejpam-6227	582	1	this	this	PRON
ejpam-6227	582	2	promotes	promote	VERB
ejpam-6227	582	3	more	more	ADV
ejpam-6227	582	4	confident	confident	ADJ
ejpam-6227	582	5	project	project	NOUN
ejpam-6227	582	6	selection	selection	NOUN
ejpam-6227	582	7	decisions	decision	NOUN
ejpam-6227	582	8	and	and	CCONJ
ejpam-6227	582	9	helps	help	VERB
ejpam-6227	582	10	stakeholders	stakeholder	NOUN
ejpam-6227	582	11	better	well	ADV
ejpam-6227	582	12	comprehend	comprehend	VERB
ejpam-6227	582	13	the	the	DET
ejpam-6227	582	14	rationale	rationale	NOUN
ejpam-6227	582	15	behind	behind	ADP
ejpam-6227	582	16	the	the	DET
ejpam-6227	582	17	final	final	ADJ
ejpam-6227	582	18	selections	selection	NOUN
ejpam-6227	582	19	.	.	PUNCT
ejpam-6227	583	1	•	•	NOUN
ejpam-6227	583	2	due	due	ADP
ejpam-6227	583	3	to	to	ADP
ejpam-6227	583	4	their	their	PRON
ejpam-6227	583	5	expertise	expertise	NOUN
ejpam-6227	583	6	in	in	ADP
ejpam-6227	583	7	renewable	renewable	ADJ
ejpam-6227	583	8	energy	energy	NOUN
ejpam-6227	583	9	project	project	NOUN
ejpam-6227	583	10	evaluation	evaluation	NOUN
ejpam-6227	583	11	,	,	PUNCT
ejpam-6227	583	12	their	their	PRON
ejpam-6227	583	13	ability	ability	NOUN
ejpam-6227	583	14	to	to	PART
ejpam-6227	583	15	make	make	VERB
ejpam-6227	583	16	practical	practical	ADJ
ejpam-6227	583	17	judgments	judgment	NOUN
ejpam-6227	583	18	,	,	PUNCT
ejpam-6227	583	19	and	and	CCONJ
ejpam-6227	583	20	the	the	DET
ejpam-6227	583	21	effectiveness	effectiveness	NOUN
ejpam-6227	583	22	of	of	ADP
ejpam-6227	583	23	the	the	DET
ejpam-6227	583	24	evaluation	evaluation	NOUN
ejpam-6227	583	25	processes	process	NOUN
ejpam-6227	583	26	,	,	PUNCT
ejpam-6227	583	27	energy	energy	NOUN
ejpam-6227	583	28	project	project	NOUN
ejpam-6227	583	29	specialists	specialist	NOUN
ejpam-6227	583	30	are	be	AUX
ejpam-6227	583	31	often	often	ADV
ejpam-6227	583	32	required	require	VERB
ejpam-6227	583	33	to	to	PART
ejpam-6227	583	34	guide	guide	VERB
ejpam-6227	583	35	the	the	DET
ejpam-6227	583	36	optimization	optimization	NOUN
ejpam-6227	583	37	of	of	ADP
ejpam-6227	583	38	renewable	renewable	ADJ
ejpam-6227	583	39	energy	energy	NOUN
ejpam-6227	583	40	systems	system	NOUN
ejpam-6227	583	41	.	.	PUNCT
ejpam-6227	584	1	current	current	ADJ
ejpam-6227	584	2	methods	method	NOUN
ejpam-6227	584	3	rely	rely	VERB
ejpam-6227	584	4	heavily	heavily	ADV
ejpam-6227	584	5	on	on	ADP
ejpam-6227	584	6	expert	expert	ADJ
ejpam-6227	584	7	judgment	judgment	NOUN
ejpam-6227	584	8	to	to	PART
ejpam-6227	584	9	interpret	interpret	VERB
ejpam-6227	584	10	and	and	CCONJ
ejpam-6227	584	11	select	select	VERB
ejpam-6227	584	12	viable	viable	ADJ
ejpam-6227	584	13	energy	energy	NOUN
ejpam-6227	584	14	projects	project	NOUN
ejpam-6227	584	15	.	.	PUNCT
ejpam-6227	585	1	6.5	6.5	NUM
ejpam-6227	585	2	.	.	PUNCT
ejpam-6227	585	3	sensitive	sensitive	ADJ
ejpam-6227	585	4	study	study	NOUN
ejpam-6227	585	5	we	we	PRON
ejpam-6227	585	6	define	define	VERB
ejpam-6227	585	7	the	the	DET
ejpam-6227	585	8	sensitive	sensitive	ADJ
ejpam-6227	585	9	study	study	NOUN
ejpam-6227	585	10	in	in	ADP
ejpam-6227	585	11	this	this	DET
ejpam-6227	585	12	subsection	subsection	NOUN
ejpam-6227	585	13	,	,	PUNCT
ejpam-6227	585	14	which	which	PRON
ejpam-6227	585	15	is	be	AUX
ejpam-6227	585	16	represented	represent	VERB
ejpam-6227	585	17	in	in	ADP
ejpam-6227	585	18	table	table	NOUN
ejpam-6227	585	19	10	10	NUM
ejpam-6227	585	20	below	below	ADV
ejpam-6227	585	21	.	.	PUNCT
ejpam-6227	586	1	a.	a.	PROPN
ejpam-6227	586	2	fahmi	fahmi	PROPN
ejpam-6227	586	3	et	et	PROPN
ejpam-6227	586	4	al	al	PROPN
ejpam-6227	586	5	.	.	PUNCT
ejpam-6227	586	6	/	/	SYM
ejpam-6227	586	7	eur	eur	PROPN
ejpam-6227	586	8	.	.	PUNCT
ejpam-6227	587	1	j.	j.	PROPN
ejpam-6227	587	2	pure	pure	PROPN
ejpam-6227	587	3	appl	appl	PROPN
ejpam-6227	587	4	.	.	PROPN
ejpam-6227	587	5	math	math	PROPN
ejpam-6227	587	6	,	,	PUNCT
ejpam-6227	587	7	18	18	NUM
ejpam-6227	587	8	(	(	PUNCT
ejpam-6227	587	9	3	3	NUM
ejpam-6227	587	10	)	)	PUNCT
ejpam-6227	587	11	(	(	PUNCT
ejpam-6227	587	12	2025	2025	NUM
ejpam-6227	587	13	)	)	PUNCT
ejpam-6227	587	14	,	,	PUNCT
ejpam-6227	587	15	6227	6227	NUM
ejpam-6227	587	16	33	33	NUM
ejpam-6227	587	17	of	of	ADP
ejpam-6227	587	18	37	37	NUM
ejpam-6227	587	19	value	value	NOUN
ejpam-6227	587	20	dh1	dh1	PROPN
ejpam-6227	587	21	dh2	dh2	PROPN
ejpam-6227	587	22	dh3	dh3	PROPN
ejpam-6227	587	23	∆	∆	X
ejpam-6227	588	1	=	=	SYM
ejpam-6227	589	1	0	0	NUM
ejpam-6227	589	2	,	,	PUNCT
ejpam-6227	589	3	dhi	dhi	PROPN
ejpam-6227	589	4	0.0112	0.0112	NUM
ejpam-6227	589	5	0.8967	0.8967	NUM
ejpam-6227	589	6	0.2545	0.2545	NUM
ejpam-6227	589	7	preference	preference	NOUN
ejpam-6227	589	8	order	order	NOUN
ejpam-6227	589	9	ranking	rank	VERB
ejpam-6227	589	10	3	3	NUM
ejpam-6227	589	11	1	1	NUM
ejpam-6227	589	12	2	2	NUM
ejpam-6227	589	13	∆	∆	X
ejpam-6227	589	14	=	=	SYM
ejpam-6227	589	15	0.1	0.1	NUM
ejpam-6227	589	16	,	,	PUNCT
ejpam-6227	589	17	dhi	dhi	PROPN
ejpam-6227	589	18	0.0145	0.0145	NUM
ejpam-6227	589	19	0.6066	0.6066	NUM
ejpam-6227	589	20	0.4014	0.4014	NUM
ejpam-6227	589	21	preference	preference	NOUN
ejpam-6227	589	22	order	order	NOUN
ejpam-6227	589	23	ranking	rank	VERB
ejpam-6227	589	24	3	3	NUM
ejpam-6227	589	25	1	1	NUM
ejpam-6227	589	26	2	2	NUM
ejpam-6227	589	27	∆	∆	X
ejpam-6227	589	28	=	=	SYM
ejpam-6227	589	29	0.2	0.2	NUM
ejpam-6227	589	30	,	,	PUNCT
ejpam-6227	589	31	dhi	dhi	PROPN
ejpam-6227	589	32	0.0123	0.0123	NUM
ejpam-6227	589	33	0.6234	0.6234	NUM
ejpam-6227	589	34	0.4124	0.4124	NUM
ejpam-6227	589	35	preference	preference	NOUN
ejpam-6227	589	36	order	order	NOUN
ejpam-6227	589	37	ranking	rank	VERB
ejpam-6227	589	38	3	3	NUM
ejpam-6227	589	39	1	1	NUM
ejpam-6227	589	40	2	2	NUM
ejpam-6227	589	41	∆	∆	X
ejpam-6227	589	42	=	=	PUNCT
ejpam-6227	589	43	0.3	0.3	NUM
ejpam-6227	589	44	,	,	PUNCT
ejpam-6227	589	45	dhi	dhi	PROPN
ejpam-6227	589	46	0.0101	0.0101	NUM
ejpam-6227	589	47	0.6765	0.6765	NUM
ejpam-6227	589	48	0.4873	0.4873	NUM
ejpam-6227	589	49	preference	preference	NOUN
ejpam-6227	589	50	order	order	NOUN
ejpam-6227	589	51	ranking	rank	VERB
ejpam-6227	589	52	3	3	NUM
ejpam-6227	589	53	1	1	NUM
ejpam-6227	589	54	2	2	NUM
ejpam-6227	589	55	∆	∆	X
ejpam-6227	589	56	=	=	SYM
ejpam-6227	589	57	0.4	0.4	NUM
ejpam-6227	589	58	,	,	PUNCT
ejpam-6227	589	59	dhi	dhi	PROPN
ejpam-6227	589	60	0.0077	0.0077	NUM
ejpam-6227	589	61	0.8345	0.8345	NUM
ejpam-6227	589	62	0.2098	0.2098	NUM
ejpam-6227	589	63	preference	preference	NOUN
ejpam-6227	589	64	order	order	NOUN
ejpam-6227	589	65	ranking	rank	VERB
ejpam-6227	589	66	3	3	NUM
ejpam-6227	589	67	1	1	NUM
ejpam-6227	589	68	2	2	NUM
ejpam-6227	589	69	∆	∆	X
ejpam-6227	589	70	=	=	SYM
ejpam-6227	589	71	0.5	0.5	NUM
ejpam-6227	589	72	,	,	PUNCT
ejpam-6227	589	73	dhi	dhi	PROPN
ejpam-6227	589	74	0.0145	0.0145	NUM
ejpam-6227	589	75	0.4987	0.4987	NUM
ejpam-6227	589	76	0.2012	0.2012	NUM
ejpam-6227	589	77	preference	preference	NOUN
ejpam-6227	589	78	order	order	NOUN
ejpam-6227	589	79	ranking	rank	VERB
ejpam-6227	589	80	3	3	NUM
ejpam-6227	589	81	1	1	NUM
ejpam-6227	589	82	2	2	NUM
ejpam-6227	589	83	∆	∆	X
ejpam-6227	589	84	=	=	SYM
ejpam-6227	589	85	0.6	0.6	NUM
ejpam-6227	589	86	,	,	PUNCT
ejpam-6227	589	87	dhi	dhi	PROPN
ejpam-6227	589	88	0.1021	0.1021	NUM
ejpam-6227	589	89	0.2345	0.2345	NUM
ejpam-6227	589	90	0.1987	0.1987	NUM
ejpam-6227	589	91	preference	preference	NOUN
ejpam-6227	589	92	order	order	NOUN
ejpam-6227	589	93	ranking	rank	VERB
ejpam-6227	589	94	3	3	NUM
ejpam-6227	589	95	1	1	NUM
ejpam-6227	589	96	2	2	NUM
ejpam-6227	589	97	∆	∆	X
ejpam-6227	589	98	=	=	SYM
ejpam-6227	589	99	0.7	0.7	NUM
ejpam-6227	589	100	,	,	PUNCT
ejpam-6227	589	101	dhi	dhi	PROPN
ejpam-6227	589	102	0.1129	0.1129	NUM
ejpam-6227	589	103	0.3409	0.3409	NUM
ejpam-6227	589	104	0.2983	0.2983	NUM
ejpam-6227	589	105	preference	preference	NOUN
ejpam-6227	589	106	order	order	NOUN
ejpam-6227	589	107	ranking	rank	VERB
ejpam-6227	589	108	3	3	NUM
ejpam-6227	589	109	1	1	NUM
ejpam-6227	589	110	2	2	NUM
ejpam-6227	589	111	∆	∆	X
ejpam-6227	589	112	=	=	PUNCT
ejpam-6227	590	1	0.8	0.8	NUM
ejpam-6227	590	2	,	,	PUNCT
ejpam-6227	590	3	dhi	dhi	PROPN
ejpam-6227	590	4	0.1983	0.1983	NUM
ejpam-6227	590	5	0.7654	0.7654	NUM
ejpam-6227	590	6	0.5672	0.5672	NUM
ejpam-6227	590	7	preference	preference	NOUN
ejpam-6227	590	8	order	order	NOUN
ejpam-6227	590	9	ranking	rank	VERB
ejpam-6227	590	10	3	3	NUM
ejpam-6227	590	11	1	1	NUM
ejpam-6227	590	12	2	2	NUM
ejpam-6227	590	13	7	7	NUM
ejpam-6227	590	14	.	.	PUNCT
ejpam-6227	590	15	conclusion	conclusion	NOUN
ejpam-6227	590	16	in	in	ADP
ejpam-6227	590	17	this	this	DET
ejpam-6227	590	18	section	section	NOUN
ejpam-6227	590	19	,	,	PUNCT
ejpam-6227	590	20	we	we	PRON
ejpam-6227	590	21	introduce	introduce	VERB
ejpam-6227	590	22	triangular	triangular	NOUN
ejpam-6227	590	23	intuitionistic	intuitionistic	ADJ
ejpam-6227	590	24	fuzzy	fuzzy	ADJ
ejpam-6227	590	25	data	datum	NOUN
ejpam-6227	590	26	based	base	VERB
ejpam-6227	590	27	frank	frank	PROPN
ejpam-6227	590	28	aggregation	aggregation	NOUN
ejpam-6227	590	29	operators	operator	NOUN
ejpam-6227	590	30	applied	apply	VERB
ejpam-6227	590	31	to	to	ADP
ejpam-6227	590	32	the	the	DET
ejpam-6227	590	33	selection	selection	NOUN
ejpam-6227	590	34	of	of	ADP
ejpam-6227	590	35	renewable	renewable	ADJ
ejpam-6227	590	36	energy	energy	NOUN
ejpam-6227	590	37	projects	project	NOUN
ejpam-6227	590	38	.	.	PUNCT
ejpam-6227	591	1	the	the	DET
ejpam-6227	591	2	operational	operational	ADJ
ejpam-6227	591	3	laws	law	NOUN
ejpam-6227	591	4	are	be	AUX
ejpam-6227	591	5	defined	define	VERB
ejpam-6227	591	6	along	along	ADP
ejpam-6227	591	7	with	with	ADP
ejpam-6227	591	8	the	the	DET
ejpam-6227	591	9	corresponding	correspond	VERB
ejpam-6227	591	10	score	score	NOUN
ejpam-6227	591	11	and	and	CCONJ
ejpam-6227	591	12	accuracy	accuracy	NOUN
ejpam-6227	591	13	functions	function	NOUN
ejpam-6227	591	14	.	.	PUNCT
ejpam-6227	592	1	this	this	DET
ejpam-6227	592	2	study	study	NOUN
ejpam-6227	592	3	uses	use	VERB
ejpam-6227	592	4	the	the	DET
ejpam-6227	592	5	tiffwa	tiffwa	NOUN
ejpam-6227	592	6	,	,	PUNCT
ejpam-6227	592	7	tiffowa	tiffowa	ADJ
ejpam-6227	592	8	,	,	PUNCT
ejpam-6227	592	9	tiffhwa	tiffhwa	NOUN
ejpam-6227	592	10	,	,	PUNCT
ejpam-6227	592	11	tiffwg	tiffwg	NOUN
ejpam-6227	592	12	,	,	PUNCT
ejpam-6227	592	13	tiffowg	tiffowg	NOUN
ejpam-6227	592	14	and	and	CCONJ
ejpam-6227	592	15	tiffhwg	tiffhwg	NOUN
ejpam-6227	592	16	operators	operator	NOUN
ejpam-6227	592	17	within	within	ADP
ejpam-6227	592	18	the	the	DET
ejpam-6227	592	19	multicriteria	multicriteria	PROPN
ejpam-6227	592	20	decision	decision	NOUN
ejpam-6227	592	21	-	-	PUNCT
ejpam-6227	592	22	making	making	NOUN
ejpam-6227	592	23	(	(	PUNCT
ejpam-6227	592	24	mcdm	mcdm	ADJ
ejpam-6227	592	25	)	)	PUNCT
ejpam-6227	592	26	approach	approach	NOUN
ejpam-6227	592	27	to	to	PART
ejpam-6227	592	28	address	address	VERB
ejpam-6227	592	29	challenges	challenge	NOUN
ejpam-6227	592	30	in	in	ADP
ejpam-6227	592	31	renewable	renewable	ADJ
ejpam-6227	592	32	energy	energy	NOUN
ejpam-6227	592	33	project	project	NOUN
ejpam-6227	592	34	selection	selection	NOUN
ejpam-6227	592	35	.	.	PUNCT
ejpam-6227	593	1	it	it	PRON
ejpam-6227	593	2	is	be	AUX
ejpam-6227	593	3	demonstrated	demonstrate	VERB
ejpam-6227	593	4	that	that	SCONJ
ejpam-6227	593	5	these	these	DET
ejpam-6227	593	6	operators	operator	NOUN
ejpam-6227	593	7	enable	enable	VERB
ejpam-6227	593	8	the	the	DET
ejpam-6227	593	9	mcdm	mcdm	ADJ
ejpam-6227	593	10	technique	technique	NOUN
ejpam-6227	593	11	to	to	PART
ejpam-6227	593	12	effectively	effectively	ADV
ejpam-6227	593	13	differentiate	differentiate	VERB
ejpam-6227	593	14	between	between	ADP
ejpam-6227	593	15	various	various	ADJ
ejpam-6227	593	16	renewable	renewable	ADJ
ejpam-6227	593	17	energy	energy	NOUN
ejpam-6227	593	18	alternatives	alternative	NOUN
ejpam-6227	593	19	,	,	PUNCT
ejpam-6227	593	20	offering	offer	VERB
ejpam-6227	593	21	flexibility	flexibility	NOUN
ejpam-6227	593	22	in	in	ADP
ejpam-6227	593	23	making	make	VERB
ejpam-6227	593	24	decisions	decision	NOUN
ejpam-6227	593	25	related	relate	VERB
ejpam-6227	593	26	to	to	AUX
ejpam-6227	593	27	project	project	NOUN
ejpam-6227	593	28	selection	selection	NOUN
ejpam-6227	593	29	and	and	CCONJ
ejpam-6227	593	30	energy	energy	NOUN
ejpam-6227	593	31	efficiency	efficiency	NOUN
ejpam-6227	593	32	.	.	PUNCT
ejpam-6227	594	1	these	these	DET
ejpam-6227	594	2	operators	operator	NOUN
ejpam-6227	594	3	exhibit	exhibit	VERB
ejpam-6227	594	4	essential	essential	ADJ
ejpam-6227	594	5	properties	property	NOUN
ejpam-6227	594	6	such	such	ADJ
ejpam-6227	594	7	as	as	ADP
ejpam-6227	594	8	commutativity	commutativity	NOUN
ejpam-6227	594	9	,	,	PUNCT
ejpam-6227	594	10	idempotency	idempotency	NOUN
ejpam-6227	594	11	,	,	PUNCT
ejpam-6227	594	12	boundedness	boundedness	NOUN
ejpam-6227	594	13	,	,	PUNCT
ejpam-6227	594	14	associativity	associativity	NOUN
ejpam-6227	594	15	,	,	PUNCT
ejpam-6227	594	16	and	and	CCONJ
ejpam-6227	594	17	monotonicity	monotonicity	NOUN
ejpam-6227	594	18	.	.	PUNCT
ejpam-6227	595	1	when	when	SCONJ
ejpam-6227	595	2	combined	combine	VERB
ejpam-6227	595	3	with	with	ADP
ejpam-6227	595	4	clustering	clustering	ADJ
ejpam-6227	595	5	techniques	technique	NOUN
ejpam-6227	595	6	like	like	ADP
ejpam-6227	595	7	the	the	DET
ejpam-6227	595	8	triangular	triangular	NOUN
ejpam-6227	595	9	fuzzy	fuzzy	ADJ
ejpam-6227	595	10	c	c	NOUN
ejpam-6227	595	11	-	-	PUNCT
ejpam-6227	595	12	means	means	NOUN
ejpam-6227	595	13	algorithm	algorithm	NOUN
ejpam-6227	595	14	,	,	PUNCT
ejpam-6227	595	15	these	these	DET
ejpam-6227	595	16	aggregation	aggregation	NOUN
ejpam-6227	595	17	operators	operator	NOUN
ejpam-6227	595	18	enhance	enhance	VERB
ejpam-6227	595	19	the	the	DET
ejpam-6227	595	20	accuracy	accuracy	NOUN
ejpam-6227	595	21	and	and	CCONJ
ejpam-6227	595	22	computational	computational	ADJ
ejpam-6227	595	23	efficiency	efficiency	NOUN
ejpam-6227	595	24	of	of	ADP
ejpam-6227	595	25	the	the	DET
ejpam-6227	595	26	project	project	NOUN
ejpam-6227	595	27	selection	selection	NOUN
ejpam-6227	595	28	process	process	NOUN
ejpam-6227	595	29	,	,	PUNCT
ejpam-6227	595	30	making	make	VERB
ejpam-6227	595	31	it	it	PRON
ejpam-6227	595	32	possible	possible	ADJ
ejpam-6227	595	33	to	to	PART
ejpam-6227	595	34	cluster	cluster	NOUN
ejpam-6227	595	35	data	datum	NOUN
ejpam-6227	595	36	effectively	effectively	ADV
ejpam-6227	595	37	for	for	ADP
ejpam-6227	595	38	more	more	ADV
ejpam-6227	595	39	reliable	reliable	ADJ
ejpam-6227	595	40	decision	decision	NOUN
ejpam-6227	595	41	-	-	PUNCT
ejpam-6227	595	42	making	making	NOUN
ejpam-6227	595	43	.	.	PUNCT
ejpam-6227	596	1	in	in	ADP
ejpam-6227	596	2	the	the	DET
ejpam-6227	596	3	near	near	ADJ
ejpam-6227	596	4	future	future	NOUN
ejpam-6227	596	5	,	,	PUNCT
ejpam-6227	596	6	we	we	PRON
ejpam-6227	596	7	plan	plan	VERB
ejpam-6227	596	8	to	to	PART
ejpam-6227	596	9	incorporate	incorporate	VERB
ejpam-6227	596	10	artificial	artificial	ADJ
ejpam-6227	596	11	intelligence	intelligence	NOUN
ejpam-6227	596	12	into	into	ADP
ejpam-6227	596	13	renewable	renewable	ADJ
ejpam-6227	596	14	energy	energy	NOUN
ejpam-6227	596	15	project	project	NOUN
ejpam-6227	596	16	selection	selection	NOUN
ejpam-6227	596	17	.	.	PUNCT
ejpam-6227	597	1	this	this	PRON
ejpam-6227	597	2	includes	include	VERB
ejpam-6227	597	3	utilizing	utilize	VERB
ejpam-6227	597	4	neural	neural	ADJ
ejpam-6227	597	5	networks	network	NOUN
ejpam-6227	597	6	,	,	PUNCT
ejpam-6227	597	7	automation	automation	NOUN
ejpam-6227	597	8	,	,	PUNCT
ejpam-6227	597	9	data	datum	NOUN
ejpam-6227	597	10	analysis	analysis	NOUN
ejpam-6227	597	11	,	,	PUNCT
ejpam-6227	597	12	and	and	CCONJ
ejpam-6227	597	13	virtual	virtual	ADJ
ejpam-6227	597	14	assistants	assistant	NOUN
ejpam-6227	597	15	to	to	PART
ejpam-6227	597	16	enhance	enhance	VERB
ejpam-6227	597	17	decision	decision	NOUN
ejpam-6227	597	18	-	-	PUNCT
ejpam-6227	597	19	making	make	VERB
ejpam-6227	597	20	processes	process	NOUN
ejpam-6227	597	21	related	relate	VERB
ejpam-6227	597	22	to	to	ADP
ejpam-6227	597	23	project	project	NOUN
ejpam-6227	597	24	assessment	assessment	NOUN
ejpam-6227	597	25	.	.	PUNCT
ejpam-6227	598	1	additionally	additionally	ADV
ejpam-6227	598	2	,	,	PUNCT
ejpam-6227	598	3	we	we	PRON
ejpam-6227	598	4	aim	aim	VERB
ejpam-6227	598	5	to	to	PART
ejpam-6227	598	6	expand	expand	VERB
ejpam-6227	598	7	the	the	DET
ejpam-6227	598	8	current	current	ADJ
ejpam-6227	598	9	approach	approach	NOUN
ejpam-6227	598	10	by	by	ADP
ejpam-6227	598	11	incorporating	incorporate	VERB
ejpam-6227	598	12	generalized	generalize	VERB
ejpam-6227	598	13	triangular	triangular	NOUN
ejpam-6227	598	14	cubic	cubic	ADJ
ejpam-6227	598	15	fuzzy	fuzzy	ADJ
ejpam-6227	598	16	frank	frank	ADJ
ejpam-6227	598	17	aggregation	aggregation	NOUN
ejpam-6227	598	18	operators	operator	NOUN
ejpam-6227	598	19	and	and	CCONJ
ejpam-6227	598	20	triangular	triangular	NOUN
ejpam-6227	598	21	cubic	cubic	ADJ
ejpam-6227	598	22	fuzzy	fuzzy	ADJ
ejpam-6227	598	23	frank	frank	ADJ
ejpam-6227	598	24	geometric	geometric	ADJ
ejpam-6227	598	25	aggregation	aggregation	NOUN
ejpam-6227	598	26	operators	operator	NOUN
ejpam-6227	598	27	,	,	PUNCT
ejpam-6227	598	28	allowing	allow	VERB
ejpam-6227	598	29	for	for	ADP
ejpam-6227	598	30	more	more	ADV
ejpam-6227	598	31	advanced	advanced	ADJ
ejpam-6227	598	32	,	,	PUNCT
ejpam-6227	598	33	adaptive	adaptive	ADJ
ejpam-6227	598	34	,	,	PUNCT
ejpam-6227	598	35	and	and	CCONJ
ejpam-6227	598	36	efficient	efficient	ADJ
ejpam-6227	598	37	systems	system	NOUN
ejpam-6227	598	38	for	for	ADP
ejpam-6227	598	39	selecting	select	VERB
ejpam-6227	598	40	renewable	renewable	ADJ
ejpam-6227	598	41	energy	energy	NOUN
ejpam-6227	598	42	projects	project	NOUN
ejpam-6227	598	43	.	.	PUNCT
ejpam-6227	599	1	8	8	X
ejpam-6227	599	2	.	.	X
ejpam-6227	599	3	compliance	compliance	NOUN
ejpam-6227	599	4	with	with	ADP
ejpam-6227	599	5	ethical	ethical	ADJ
ejpam-6227	599	6	standards	standard	NOUN
ejpam-6227	599	7	the	the	DET
ejpam-6227	599	8	authors	author	NOUN
ejpam-6227	599	9	declare	declare	VERB
ejpam-6227	599	10	that	that	SCONJ
ejpam-6227	599	11	there	there	PRON
ejpam-6227	599	12	is	be	VERB
ejpam-6227	599	13	no	no	DET
ejpam-6227	599	14	conflict	conflict	NOUN
ejpam-6227	599	15	of	of	ADP
ejpam-6227	599	16	interests	interest	NOUN
ejpam-6227	599	17	regarding	regard	VERB
ejpam-6227	599	18	the	the	DET
ejpam-6227	599	19	publication	publication	NOUN
ejpam-6227	599	20	of	of	ADP
ejpam-6227	599	21	this	this	DET
ejpam-6227	599	22	paper	paper	NOUN
ejpam-6227	599	23	.	.	PUNCT
ejpam-6227	600	1	compliance	compliance	NOUN
ejpam-6227	600	2	with	with	ADP
ejpam-6227	600	3	ethical	ethical	ADJ
ejpam-6227	600	4	standards	standard	NOUN
ejpam-6227	600	5	:	:	PUNCT
ejpam-6227	600	6	this	this	DET
ejpam-6227	600	7	study	study	NOUN
ejpam-6227	600	8	is	be	AUX
ejpam-6227	600	9	not	not	PART
ejpam-6227	600	10	supported	support	VERB
ejpam-6227	600	11	by	by	ADP
ejpam-6227	600	12	any	any	DET
ejpam-6227	600	13	source	source	NOUN
ejpam-6227	600	14	or	or	CCONJ
ejpam-6227	600	15	any	any	DET
ejpam-6227	600	16	organizations	organization	NOUN
ejpam-6227	600	17	.	.	PUNCT
ejpam-6227	601	1	ethical	ethical	ADJ
ejpam-6227	601	2	approval	approval	NOUN
ejpam-6227	601	3	:	:	PUNCT
ejpam-6227	601	4	this	this	DET
ejpam-6227	601	5	article	article	NOUN
ejpam-6227	601	6	does	do	AUX
ejpam-6227	601	7	not	not	PART
ejpam-6227	601	8	contain	contain	VERB
ejpam-6227	601	9	any	any	DET
ejpam-6227	601	10	studies	study	NOUN
ejpam-6227	601	11	with	with	ADP
ejpam-6227	601	12	human	human	ADJ
ejpam-6227	601	13	participants	participant	NOUN
ejpam-6227	601	14	or	or	CCONJ
ejpam-6227	601	15	animals	animal	NOUN
ejpam-6227	601	16	performed	perform	VERB
ejpam-6227	601	17	by	by	ADP
ejpam-6227	601	18	any	any	PRON
ejpam-6227	601	19	of	of	ADP
ejpam-6227	601	20	the	the	DET
ejpam-6227	601	21	authors	author	NOUN
ejpam-6227	601	22	.	.	PUNCT
ejpam-6227	602	1	a.	a.	PROPN
ejpam-6227	602	2	fahmi	fahmi	PROPN
ejpam-6227	602	3	et	et	PROPN
ejpam-6227	602	4	al	al	PROPN
ejpam-6227	602	5	.	.	PUNCT
ejpam-6227	602	6	/	/	SYM
ejpam-6227	602	7	eur	eur	PROPN
ejpam-6227	602	8	.	.	PUNCT
ejpam-6227	603	1	j.	j.	PROPN
ejpam-6227	603	2	pure	pure	PROPN
ejpam-6227	603	3	appl	appl	PROPN
ejpam-6227	603	4	.	.	PROPN
ejpam-6227	603	5	math	math	PROPN
ejpam-6227	603	6	,	,	PUNCT
ejpam-6227	603	7	18	18	NUM
ejpam-6227	603	8	(	(	PUNCT
ejpam-6227	603	9	3	3	NUM
ejpam-6227	603	10	)	)	PUNCT
ejpam-6227	603	11	(	(	PUNCT
ejpam-6227	603	12	2025	2025	NUM
ejpam-6227	603	13	)	)	PUNCT
ejpam-6227	603	14	,	,	PUNCT
ejpam-6227	603	15	6227	6227	NUM
ejpam-6227	603	16	34	34	NUM
ejpam-6227	603	17	of	of	ADP
ejpam-6227	603	18	37	37	NUM
ejpam-6227	603	19	acknowledgements	acknowledgement	NOUN
ejpam-6227	603	20	a.k	a.k	PROPN
ejpam-6227	603	21	,	,	PUNCT
ejpam-6227	603	22	a.m	a.m	PROPN
ejpam-6227	603	23	and	and	CCONJ
ejpam-6227	603	24	t.a	t.a	PROPN
ejpam-6227	603	25	would	would	AUX
ejpam-6227	603	26	like	like	VERB
ejpam-6227	603	27	to	to	PART
ejpam-6227	603	28	thank	thank	VERB
ejpam-6227	603	29	prince	prince	PROPN
ejpam-6227	603	30	sultan	sultan	PROPN
ejpam-6227	603	31	university	university	PROPN
ejpam-6227	603	32	for	for	ADP
ejpam-6227	603	33	the	the	DET
ejpam-6227	603	34	support	support	NOUN
ejpam-6227	603	35	through	through	ADP
ejpam-6227	603	36	apc	apc	PROPN
ejpam-6227	603	37	tas	tas	PROPN
ejpam-6227	603	38	research	research	PROPN
ejpam-6227	603	39	lab	lab	NOUN
ejpam-6227	603	40	.	.	PUNCT
ejpam-6227	604	1	references	reference	NOUN
ejpam-6227	604	2	[	[	X
ejpam-6227	604	3	1	1	X
ejpam-6227	604	4	]	]	PUNCT
ejpam-6227	604	5	j.	j.	PROPN
ejpam-6227	604	6	qi	qi	PROPN
ejpam-6227	604	7	.	.	PUNCT
ejpam-6227	604	8	artificial	artificial	ADJ
ejpam-6227	604	9	intelligence	intelligence	NOUN
ejpam-6227	604	10	-	-	PUNCT
ejpam-6227	604	11	based	base	VERB
ejpam-6227	604	12	intelligent	intelligent	ADJ
ejpam-6227	604	13	computing	computing	NOUN
ejpam-6227	604	14	using	use	VERB
ejpam-6227	604	15	circular	circular	ADJ
ejpam-6227	604	16	q	q	ADJ
ejpam-6227	604	17	-	-	PUNCT
ejpam-6227	604	18	rung	rung	ADJ
ejpam-6227	604	19	orthopair	orthopair	ADJ
ejpam-6227	604	20	fuzzy	fuzzy	ADJ
ejpam-6227	604	21	information	information	NOUN
ejpam-6227	604	22	aggregation	aggregation	NOUN
ejpam-6227	604	23	.	.	PUNCT
ejpam-6227	605	1	aims	aim	VERB
ejpam-6227	605	2	mathematics	mathematic	NOUN
ejpam-6227	605	3	,	,	PUNCT
ejpam-6227	605	4	10(2):3062–3094	10(2):3062–3094	NUM
ejpam-6227	605	5	,	,	PUNCT
ejpam-6227	605	6	2025	2025	NUM
ejpam-6227	605	7	.	.	PUNCT
ejpam-6227	606	1	[	[	X
ejpam-6227	606	2	2	2	X
ejpam-6227	606	3	]	]	PUNCT
ejpam-6227	606	4	j.	j.	PROPN
ejpam-6227	606	5	qin	qin	PROPN
ejpam-6227	606	6	,	,	PUNCT
ejpam-6227	606	7	x.	x.	PROPN
ejpam-6227	606	8	liu	liu	PROPN
ejpam-6227	606	9	,	,	PUNCT
ejpam-6227	606	10	and	and	CCONJ
ejpam-6227	606	11	w.	w.	PROPN
ejpam-6227	606	12	pedrycz	pedrycz	NOUN
ejpam-6227	606	13	.	.	PUNCT
ejpam-6227	607	1	frank	frank	ADJ
ejpam-6227	607	2	aggregation	aggregation	NOUN
ejpam-6227	607	3	operators	operator	NOUN
ejpam-6227	607	4	and	and	CCONJ
ejpam-6227	607	5	their	their	PRON
ejpam-6227	607	6	application	application	NOUN
ejpam-6227	607	7	to	to	ADP
ejpam-6227	607	8	hesitant	hesitant	ADJ
ejpam-6227	607	9	fuzzy	fuzzy	ADJ
ejpam-6227	607	10	multiple	multiple	ADJ
ejpam-6227	607	11	attribute	attribute	NOUN
ejpam-6227	607	12	decision	decision	NOUN
ejpam-6227	607	13	making	making	NOUN
ejpam-6227	607	14	.	.	PUNCT
ejpam-6227	608	1	applied	apply	VERB
ejpam-6227	608	2	soft	soft	ADJ
ejpam-6227	608	3	computing	computing	NOUN
ejpam-6227	608	4	,	,	PUNCT
ejpam-6227	608	5	41:428–452	41:428–452	PROPN
ejpam-6227	608	6	,	,	PUNCT
ejpam-6227	608	7	2016	2016	NUM
ejpam-6227	608	8	.	.	PUNCT
ejpam-6227	609	1	[	[	X
ejpam-6227	609	2	3	3	X
ejpam-6227	609	3	]	]	PUNCT
ejpam-6227	609	4	m.	m.	NOUN
ejpam-6227	609	5	rahim	rahim	PROPN
ejpam-6227	609	6	.	.	PUNCT
ejpam-6227	610	1	multi	multi	ADJ
ejpam-6227	610	2	-	-	ADJ
ejpam-6227	610	3	criteria	criterion	NOUN
ejpam-6227	610	4	group	group	NOUN
ejpam-6227	610	5	decision	decision	NOUN
ejpam-6227	610	6	-	-	PUNCT
ejpam-6227	610	7	making	making	NOUN
ejpam-6227	610	8	based	base	VERB
ejpam-6227	610	9	on	on	ADP
ejpam-6227	610	10	frank	frank	ADJ
ejpam-6227	610	11	aggregation	aggregation	NOUN
ejpam-6227	610	12	operators	operator	NOUN
ejpam-6227	610	13	under	under	ADP
ejpam-6227	610	14	pythagorean	pythagorean	PROPN
ejpam-6227	610	15	cubic	cubic	ADJ
ejpam-6227	610	16	fuzzy	fuzzy	ADJ
ejpam-6227	610	17	sets	set	NOUN
ejpam-6227	610	18	.	.	PUNCT
ejpam-6227	611	1	granular	granular	ADJ
ejpam-6227	611	2	computing	computing	NOUN
ejpam-6227	611	3	,	,	PUNCT
ejpam-6227	611	4	8(6):1429–1449	8(6):1429–1449	PROPN
ejpam-6227	611	5	,	,	PUNCT
ejpam-6227	611	6	2023	2023	NUM
ejpam-6227	611	7	.	.	PUNCT
ejpam-6227	612	1	[	[	X
ejpam-6227	612	2	4	4	X
ejpam-6227	612	3	]	]	PUNCT
ejpam-6227	612	4	k.	k.	PROPN
ejpam-6227	612	5	rahman	rahman	PROPN
ejpam-6227	612	6	,	,	PUNCT
ejpam-6227	612	7	a.	a.	PROPN
ejpam-6227	612	8	ali	ali	PROPN
ejpam-6227	612	9	,	,	PUNCT
ejpam-6227	612	10	s.	s.	PROPN
ejpam-6227	612	11	abdullah	abdullah	PROPN
ejpam-6227	612	12	,	,	PUNCT
ejpam-6227	612	13	and	and	CCONJ
ejpam-6227	612	14	f.	f.	PROPN
ejpam-6227	612	15	amin	amin	PROPN
ejpam-6227	612	16	.	.	PROPN
ejpam-6227	612	17	approaches	approach	NOUN
ejpam-6227	612	18	to	to	ADP
ejpam-6227	612	19	multi	multi	ADJ
ejpam-6227	612	20	-	-	ADJ
ejpam-6227	612	21	attribute	attribute	NOUN
ejpam-6227	612	22	group	group	NOUN
ejpam-6227	612	23	decision	decision	NOUN
ejpam-6227	612	24	making	making	NOUN
ejpam-6227	612	25	based	base	VERB
ejpam-6227	612	26	on	on	ADP
ejpam-6227	612	27	induced	induced	ADJ
ejpam-6227	612	28	interval	interval	NOUN
ejpam-6227	612	29	-	-	PUNCT
ejpam-6227	612	30	valued	value	VERB
ejpam-6227	612	31	pythagorean	pythagorean	PROPN
ejpam-6227	612	32	fuzzy	fuzzy	PROPN
ejpam-6227	612	33	einstein	einstein	PROPN
ejpam-6227	612	34	aggregation	aggregation	NOUN
ejpam-6227	612	35	operator	operator	NOUN
ejpam-6227	612	36	.	.	PUNCT
ejpam-6227	613	1	new	new	ADJ
ejpam-6227	613	2	mathematics	mathematic	NOUN
ejpam-6227	613	3	and	and	CCONJ
ejpam-6227	613	4	natural	natural	ADJ
ejpam-6227	613	5	computation	computation	NOUN
ejpam-6227	613	6	,	,	PUNCT
ejpam-6227	613	7	14(03):343–361	14(03):343–361	NOUN
ejpam-6227	613	8	,	,	PUNCT
ejpam-6227	613	9	2018	2018	NUM
ejpam-6227	613	10	.	.	PUNCT
ejpam-6227	614	1	[	[	X
ejpam-6227	614	2	5	5	NUM
ejpam-6227	614	3	]	]	PUNCT
ejpam-6227	614	4	b.	b.	PROPN
ejpam-6227	614	5	said	say	VERB
ejpam-6227	614	6	,	,	PUNCT
ejpam-6227	614	7	n.	n.	PROPN
ejpam-6227	614	8	deivanayagampillai	deivanayagampillai	PROPN
ejpam-6227	614	9	,	,	PUNCT
ejpam-6227	614	10	k.	k.	PROPN
ejpam-6227	614	11	jacob	jacob	PROPN
ejpam-6227	614	12	,	,	PUNCT
ejpam-6227	614	13	and	and	CCONJ
ejpam-6227	614	14	v.	v.	ADP
ejpam-6227	614	15	m.	m.	NOUN
ejpam-6227	614	16	gobinath	gobinath	NOUN
ejpam-6227	614	17	.	.	PUNCT
ejpam-6227	615	1	fuzzy	fuzzy	ADJ
ejpam-6227	615	2	hidden	hide	VERB
ejpam-6227	615	3	markov	markov	NOUN
ejpam-6227	615	4	model	model	NOUN
ejpam-6227	615	5	using	use	VERB
ejpam-6227	615	6	aggregation	aggregation	NOUN
ejpam-6227	615	7	operators	operator	NOUN
ejpam-6227	615	8	.	.	PUNCT
ejpam-6227	616	1	journal	journal	NOUN
ejpam-6227	616	2	of	of	ADP
ejpam-6227	616	3	computational	computational	ADJ
ejpam-6227	616	4	and	and	CCONJ
ejpam-6227	616	5	cognitive	cognitive	ADJ
ejpam-6227	616	6	engineering	engineering	NOUN
ejpam-6227	616	7	,	,	PUNCT
ejpam-6227	616	8	4(1):1–7	4(1):1–7	NOUN
ejpam-6227	616	9	,	,	PUNCT
ejpam-6227	616	10	2025	2025	NUM
ejpam-6227	616	11	.	.	PUNCT
ejpam-6227	617	1	[	[	X
ejpam-6227	617	2	6	6	NUM
ejpam-6227	617	3	]	]	PUNCT
ejpam-6227	617	4	a.	a.	NOUN
ejpam-6227	617	5	sarkar	sarkar	PROPN
ejpam-6227	617	6	,	,	PUNCT
ejpam-6227	617	7	t.	t.	PROPN
ejpam-6227	617	8	senapati	senapati	PROPN
ejpam-6227	617	9	,	,	PUNCT
ejpam-6227	617	10	l.	l.	PROPN
ejpam-6227	617	11	jin	jin	PROPN
ejpam-6227	617	12	,	,	PUNCT
ejpam-6227	617	13	r.	r.	PROPN
ejpam-6227	617	14	mesiar	mesiar	PROPN
ejpam-6227	617	15	,	,	PUNCT
ejpam-6227	617	16	a.	a.	PROPN
ejpam-6227	617	17	biswas	biswas	PROPN
ejpam-6227	617	18	,	,	PUNCT
ejpam-6227	617	19	and	and	CCONJ
ejpam-6227	617	20	r.	r.	PROPN
ejpam-6227	617	21	r.	r.	PROPN
ejpam-6227	617	22	yager	yager	PROPN
ejpam-6227	617	23	.	.	PUNCT
ejpam-6227	618	1	sugeno	sugeno	PROPN
ejpam-6227	618	2	weber	weber	PROPN
ejpam-6227	618	3	triangular	triangular	PROPN
ejpam-6227	618	4	norm	norm	NOUN
ejpam-6227	618	5	-	-	PUNCT
ejpam-6227	618	6	based	base	VERB
ejpam-6227	618	7	aggregation	aggregation	NOUN
ejpam-6227	618	8	operators	operator	NOUN
ejpam-6227	618	9	under	under	ADP
ejpam-6227	618	10	t	t	NOUN
ejpam-6227	618	11	-	-	PUNCT
ejpam-6227	618	12	spherical	spherical	ADJ
ejpam-6227	618	13	fuzzy	fuzzy	ADJ
ejpam-6227	618	14	hypersoft	hypersoft	NOUN
ejpam-6227	618	15	context	context	NOUN
ejpam-6227	618	16	.	.	PUNCT
ejpam-6227	619	1	information	information	NOUN
ejpam-6227	619	2	sciences	sciences	PROPN
ejpam-6227	619	3	,	,	PUNCT
ejpam-6227	619	4	645:119305	645:119305	NUM
ejpam-6227	619	5	,	,	PUNCT
ejpam-6227	619	6	2023	2023	NUM
ejpam-6227	619	7	.	.	PUNCT
ejpam-6227	620	1	[	[	X
ejpam-6227	620	2	7	7	X
ejpam-6227	620	3	]	]	PUNCT
ejpam-6227	620	4	m.	m.	PROPN
ejpam-6227	620	5	r.	r.	PROPN
ejpam-6227	620	6	seikh	seikh	PROPN
ejpam-6227	620	7	and	and	CCONJ
ejpam-6227	620	8	u.	u.	PROPN
ejpam-6227	620	9	mandal	mandal	PROPN
ejpam-6227	620	10	.	.	PUNCT
ejpam-6227	621	1	q	q	X
ejpam-6227	621	2	-	-	PUNCT
ejpam-6227	621	3	rung	rung	ADJ
ejpam-6227	621	4	orthopair	orthopair	NOUN
ejpam-6227	621	5	fuzzy	fuzzy	ADJ
ejpam-6227	621	6	frank	frank	ADJ
ejpam-6227	621	7	aggregation	aggregation	NOUN
ejpam-6227	621	8	operators	operator	NOUN
ejpam-6227	621	9	and	and	CCONJ
ejpam-6227	621	10	its	its	PRON
ejpam-6227	621	11	application	application	NOUN
ejpam-6227	621	12	in	in	ADP
ejpam-6227	621	13	multiple	multiple	ADJ
ejpam-6227	621	14	attribute	attribute	NOUN
ejpam-6227	621	15	decision	decision	NOUN
ejpam-6227	621	16	-	-	PUNCT
ejpam-6227	621	17	making	making	NOUN
ejpam-6227	621	18	with	with	ADP
ejpam-6227	621	19	unknown	unknown	ADJ
ejpam-6227	621	20	attribute	attribute	NOUN
ejpam-6227	621	21	weights	weight	NOUN
ejpam-6227	621	22	.	.	PUNCT
ejpam-6227	622	1	granular	granular	ADJ
ejpam-6227	622	2	computing	computing	NOUN
ejpam-6227	622	3	,	,	PUNCT
ejpam-6227	622	4	pages	page	NOUN
ejpam-6227	622	5	1–22	1–22	PROPN
ejpam-6227	622	6	,	,	PUNCT
ejpam-6227	622	7	2022	2022	NUM
ejpam-6227	622	8	.	.	PUNCT
ejpam-6227	623	1	[	[	X
ejpam-6227	623	2	8	8	NUM
ejpam-6227	623	3	]	]	X
ejpam-6227	623	4	r.	r.	PROPN
ejpam-6227	623	5	thinakaran	thinakaran	PROPN
ejpam-6227	623	6	,	,	PUNCT
ejpam-6227	623	7	j.	j.	PROPN
ejpam-6227	623	8	somasekar	somasekar	PROPN
ejpam-6227	623	9	,	,	PUNCT
ejpam-6227	623	10	v.	v.	PROPN
ejpam-6227	623	11	neerugatti	neerugatti	PROPN
ejpam-6227	623	12	,	,	PUNCT
ejpam-6227	623	13	and	and	CCONJ
ejpam-6227	623	14	k.	k.	PROPN
ejpam-6227	623	15	ganga	ganga	PROPN
ejpam-6227	623	16	.	.	PUNCT
ejpam-6227	624	1	advancements	advancement	NOUN
ejpam-6227	624	2	in	in	ADP
ejpam-6227	624	3	skin	skin	NOUN
ejpam-6227	624	4	cancer	cancer	NOUN
ejpam-6227	624	5	detection	detection	NOUN
ejpam-6227	624	6	:	:	PUNCT
ejpam-6227	624	7	a	a	DET
ejpam-6227	624	8	comprehensive	comprehensive	ADJ
ejpam-6227	624	9	review	review	NOUN
ejpam-6227	624	10	of	of	ADP
ejpam-6227	624	11	convolutional	convolutional	ADJ
ejpam-6227	624	12	neural	neural	ADJ
ejpam-6227	624	13	network	network	NOUN
ejpam-6227	624	14	approaches	approach	NOUN
ejpam-6227	624	15	.	.	PUNCT
ejpam-6227	625	1	in	in	ADP
ejpam-6227	625	2	2024	2024	NUM
ejpam-6227	625	3	14th	14th	ADJ
ejpam-6227	625	4	international	international	ADJ
ejpam-6227	625	5	conference	conference	NOUN
ejpam-6227	625	6	on	on	ADP
ejpam-6227	625	7	software	software	NOUN
ejpam-6227	625	8	technology	technology	NOUN
ejpam-6227	625	9	and	and	CCONJ
ejpam-6227	625	10	engineering	engineering	NOUN
ejpam-6227	625	11	(	(	PUNCT
ejpam-6227	625	12	icste	icste	PROPN
ejpam-6227	625	13	)	)	PUNCT
ejpam-6227	625	14	,	,	PUNCT
ejpam-6227	625	15	pages	page	NOUN
ejpam-6227	625	16	232–236	232–236	NUM
ejpam-6227	625	17	.	.	PUNCT
ejpam-6227	626	1	ieee	ieee	PROPN
ejpam-6227	626	2	,	,	PUNCT
ejpam-6227	626	3	august	august	PROPN
ejpam-6227	626	4	2024	2024	NUM
ejpam-6227	626	5	.	.	PUNCT
ejpam-6227	627	1	[	[	X
ejpam-6227	627	2	9	9	NUM
ejpam-6227	627	3	]	]	PUNCT
ejpam-6227	627	4	p.	p.	NOUN
ejpam-6227	627	5	wang	wang	PROPN
ejpam-6227	627	6	,	,	PUNCT
ejpam-6227	627	7	p.	p.	PROPN
ejpam-6227	627	8	liu	liu	PROPN
ejpam-6227	627	9	,	,	PUNCT
ejpam-6227	627	10	and	and	CCONJ
ejpam-6227	627	11	f.	f.	PROPN
ejpam-6227	627	12	chiclana	chiclana	PROPN
ejpam-6227	627	13	.	.	PUNCT
ejpam-6227	628	1	multi	multi	ADJ
ejpam-6227	628	2	-	-	ADJ
ejpam-6227	628	3	stage	stage	ADJ
ejpam-6227	628	4	consistency	consistency	NOUN
ejpam-6227	628	5	optimization	optimization	NOUN
ejpam-6227	628	6	algorithm	algorithm	NOUN
ejpam-6227	628	7	for	for	ADP
ejpam-6227	628	8	decision	decision	NOUN
ejpam-6227	628	9	making	make	VERB
ejpam-6227	628	10	with	with	ADP
ejpam-6227	628	11	incomplete	incomplete	ADJ
ejpam-6227	628	12	probabilistic	probabilistic	ADJ
ejpam-6227	628	13	linguistic	linguistic	ADJ
ejpam-6227	628	14	preference	preference	NOUN
ejpam-6227	628	15	relation	relation	NOUN
ejpam-6227	628	16	.	.	PUNCT
ejpam-6227	629	1	information	information	NOUN
ejpam-6227	629	2	sciences	sciences	PROPN
ejpam-6227	629	3	,	,	PUNCT
ejpam-6227	629	4	556:361–388	556:361–388	NUM
ejpam-6227	629	5	,	,	PUNCT
ejpam-6227	629	6	2021	2021	NUM
ejpam-6227	629	7	.	.	PUNCT
ejpam-6227	630	1	[	[	X
ejpam-6227	630	2	10	10	NUM
ejpam-6227	630	3	]	]	PUNCT
ejpam-6227	630	4	z.	z.	PROPN
ejpam-6227	630	5	xu	xu	PROPN
ejpam-6227	630	6	.	.	PUNCT
ejpam-6227	631	1	intuitionistic	intuitionistic	ADJ
ejpam-6227	631	2	fuzzy	fuzzy	ADJ
ejpam-6227	631	3	aggregation	aggregation	NOUN
ejpam-6227	631	4	operators	operator	NOUN
ejpam-6227	631	5	.	.	PUNCT
ejpam-6227	632	1	ieee	ieee	NOUN
ejpam-6227	632	2	transactions	transaction	NOUN
ejpam-6227	632	3	on	on	ADP
ejpam-6227	632	4	fuzzy	fuzzy	ADJ
ejpam-6227	632	5	systems	system	NOUN
ejpam-6227	632	6	,	,	PUNCT
ejpam-6227	632	7	15(6):1179–1187	15(6):1179–1187	NUM
ejpam-6227	632	8	,	,	PUNCT
ejpam-6227	632	9	2007	2007	NUM
ejpam-6227	632	10	.	.	PUNCT
ejpam-6227	633	1	[	[	X
ejpam-6227	633	2	11	11	NUM
ejpam-6227	633	3	]	]	PUNCT
ejpam-6227	633	4	r.	r.	PROPN
ejpam-6227	633	5	n.	n.	PROPN
ejpam-6227	633	6	xu	xu	PROPN
ejpam-6227	633	7	and	and	CCONJ
ejpam-6227	633	8	c.	c.	PROPN
ejpam-6227	633	9	l.	l.	PROPN
ejpam-6227	633	10	li	li	PROPN
ejpam-6227	633	11	.	.	PROPN
ejpam-6227	634	1	regression	regression	NOUN
ejpam-6227	634	2	prediction	prediction	NOUN
ejpam-6227	634	3	for	for	ADP
ejpam-6227	634	4	fuzzy	fuzzy	ADJ
ejpam-6227	634	5	time	time	NOUN
ejpam-6227	634	6	series	series	PROPN
ejpam-6227	634	7	.	.	PUNCT
ejpam-6227	635	1	appl	appl	PROPN
ejpam-6227	635	2	.	.	PROPN
ejpam-6227	635	3	math	math	PROPN
ejpam-6227	635	4	.	.	PUNCT
ejpam-6227	636	1	j.	j.	PROPN
ejpam-6227	636	2	chinese	chinese	PROPN
ejpam-6227	636	3	univ	univ	PROPN
ejpam-6227	636	4	,	,	PUNCT
ejpam-6227	636	5	16:451–461	16:451–461	NUM
ejpam-6227	636	6	,	,	PUNCT
ejpam-6227	636	7	2001	2001	NUM
ejpam-6227	636	8	.	.	PUNCT
ejpam-6227	637	1	[	[	X
ejpam-6227	637	2	12	12	NUM
ejpam-6227	637	3	]	]	PUNCT
ejpam-6227	637	4	l.	l.	PROPN
ejpam-6227	637	5	yao	yao	PROPN
ejpam-6227	637	6	,	,	PUNCT
ejpam-6227	637	7	l.	l.	PROPN
ejpam-6227	637	8	y.	y.	PROPN
ejpam-6227	637	9	huang	huang	PROPN
ejpam-6227	637	10	,	,	PUNCT
ejpam-6227	637	11	and	and	CCONJ
ejpam-6227	637	12	j.	j.	PROPN
ejpam-6227	637	13	c.	c.	PROPN
ejpam-6227	637	14	teo	teo	PROPN
ejpam-6227	637	15	.	.	PUNCT
ejpam-6227	637	16	hvac	hvac	PROPN
ejpam-6227	637	17	control	control	PROPN
ejpam-6227	637	18	based	base	VERB
ejpam-6227	637	19	on	on	ADP
ejpam-6227	637	20	reinforcement	reinforcement	NOUN
ejpam-6227	637	21	learning	learning	NOUN
ejpam-6227	637	22	and	and	CCONJ
ejpam-6227	637	23	fuzzy	fuzzy	ADJ
ejpam-6227	637	24	reasoning	reasoning	NOUN
ejpam-6227	637	25	:	:	PUNCT
ejpam-6227	637	26	optimizing	optimize	VERB
ejpam-6227	637	27	hvac	hvac	PROPN
ejpam-6227	637	28	supply	supply	PROPN
ejpam-6227	637	29	air	air	PROPN
ejpam-6227	637	30	temperature	temperature	NOUN
ejpam-6227	637	31	,	,	PUNCT
ejpam-6227	637	32	flow	flow	NOUN
ejpam-6227	637	33	rate	rate	NOUN
ejpam-6227	637	34	,	,	PUNCT
ejpam-6227	637	35	and	and	CCONJ
ejpam-6227	637	36	velocity	velocity	NOUN
ejpam-6227	637	37	.	.	PUNCT
ejpam-6227	638	1	journal	journal	NOUN
ejpam-6227	638	2	of	of	ADP
ejpam-6227	638	3	building	build	VERB
ejpam-6227	638	4	engineering	engineering	NOUN
ejpam-6227	638	5	,	,	PUNCT
ejpam-6227	638	6	103:112143	103:112143	NUM
ejpam-6227	638	7	,	,	PUNCT
ejpam-6227	638	8	2025	2025	NUM
ejpam-6227	638	9	.	.	PUNCT
ejpam-6227	639	1	[	[	X
ejpam-6227	639	2	13	13	NUM
ejpam-6227	639	3	]	]	PUNCT
ejpam-6227	639	4	m.	m.	NOUN
ejpam-6227	639	5	yahya	yahya	PROPN
ejpam-6227	639	6	,	,	PUNCT
ejpam-6227	639	7	s.	s.	PROPN
ejpam-6227	639	8	abdullah	abdullah	PROPN
ejpam-6227	639	9	,	,	PUNCT
ejpam-6227	639	10	r.	r.	PROPN
ejpam-6227	639	11	chinram	chinram	PROPN
ejpam-6227	639	12	,	,	PUNCT
ejpam-6227	639	13	y.	y.	PROPN
ejpam-6227	639	14	d.	d.	PROPN
ejpam-6227	639	15	al	al	PROPN
ejpam-6227	639	16	-	-	PUNCT
ejpam-6227	639	17	otaibi	otaibi	PROPN
ejpam-6227	639	18	,	,	PUNCT
ejpam-6227	639	19	and	and	CCONJ
ejpam-6227	639	20	m.	m.	PROPN
ejpam-6227	639	21	naeem	naeem	PROPN
ejpam-6227	639	22	.	.	PUNCT
ejpam-6227	640	1	frank	frank	PROPN
ejpam-6227	640	2	aggregation	aggregation	NOUN
ejpam-6227	640	3	operators	operator	NOUN
ejpam-6227	640	4	and	and	CCONJ
ejpam-6227	640	5	their	their	PRON
ejpam-6227	640	6	application	application	NOUN
ejpam-6227	640	7	to	to	PART
ejpam-6227	640	8	probabilistic	probabilistic	VERB
ejpam-6227	640	9	hesitant	hesitant	ADJ
ejpam-6227	640	10	fuzzy	fuzzy	ADJ
ejpam-6227	640	11	multiple	multiple	ADJ
ejpam-6227	640	12	attribute	attribute	NOUN
ejpam-6227	640	13	decisionmaking	decisionmake	VERB
ejpam-6227	640	14	.	.	PUNCT
ejpam-6227	641	1	international	international	ADJ
ejpam-6227	641	2	journal	journal	NOUN
ejpam-6227	641	3	of	of	ADP
ejpam-6227	641	4	fuzzy	fuzzy	ADJ
ejpam-6227	641	5	systems	system	NOUN
ejpam-6227	641	6	,	,	PUNCT
ejpam-6227	641	7	23(1):194–215	23(1):194–215	NOUN
ejpam-6227	641	8	,	,	PUNCT
ejpam-6227	641	9	2021	2021	NUM
ejpam-6227	641	10	.	.	PUNCT
ejpam-6227	642	1	[	[	X
ejpam-6227	642	2	14	14	NUM
ejpam-6227	642	3	]	]	PUNCT
ejpam-6227	642	4	z.	z.	PROPN
ejpam-6227	642	5	yang	yang	PROPN
ejpam-6227	642	6	and	and	CCONJ
ejpam-6227	642	7	j.	j.	PROPN
ejpam-6227	642	8	chang	chang	PROPN
ejpam-6227	642	9	.	.	PUNCT
ejpam-6227	643	1	interval	interval	NOUN
ejpam-6227	643	2	-	-	PUNCT
ejpam-6227	643	3	valued	value	VERB
ejpam-6227	643	4	pythagorean	pythagorean	PROPN
ejpam-6227	643	5	normal	normal	ADJ
ejpam-6227	643	6	fuzzy	fuzzy	ADJ
ejpam-6227	643	7	information	information	NOUN
ejpam-6227	643	8	aggregation	aggregation	NOUN
ejpam-6227	643	9	operators	operator	NOUN
ejpam-6227	643	10	for	for	ADP
ejpam-6227	643	11	multi	multi	ADJ
ejpam-6227	643	12	-	-	ADJ
ejpam-6227	643	13	attribute	attribute	NOUN
ejpam-6227	643	14	decision	decision	NOUN
ejpam-6227	643	15	making	making	NOUN
ejpam-6227	643	16	.	.	PUNCT
ejpam-6227	644	1	ieee	ieee	NOUN
ejpam-6227	644	2	access	access	NOUN
ejpam-6227	644	3	,	,	PUNCT
ejpam-6227	644	4	8:51295–51314	8:51295–51314	NUM
ejpam-6227	644	5	,	,	PUNCT
ejpam-6227	644	6	2020	2020	NUM
ejpam-6227	644	7	.	.	PUNCT
ejpam-6227	645	1	[	[	X
ejpam-6227	645	2	15	15	NUM
ejpam-6227	645	3	]	]	PUNCT
ejpam-6227	645	4	m.	m.	NOUN
ejpam-6227	645	5	s.	s.	PROPN
ejpam-6227	645	6	yang	yang	PROPN
ejpam-6227	645	7	and	and	CCONJ
ejpam-6227	645	8	c.	c.	PROPN
ejpam-6227	645	9	h.	h.	PROPN
ejpam-6227	645	10	ko	ko	PROPN
ejpam-6227	645	11	.	.	PUNCT
ejpam-6227	646	1	on	on	ADP
ejpam-6227	646	2	a	a	DET
ejpam-6227	646	3	class	class	NOUN
ejpam-6227	646	4	of	of	ADP
ejpam-6227	646	5	fuzzy	fuzzy	ADJ
ejpam-6227	646	6	c	c	NOUN
ejpam-6227	646	7	-	-	PUNCT
ejpam-6227	646	8	numbers	number	NOUN
ejpam-6227	646	9	clustering	clustering	NOUN
ejpam-6227	646	10	procedures	procedure	NOUN
ejpam-6227	646	11	for	for	ADP
ejpam-6227	646	12	fuzzy	fuzzy	ADJ
ejpam-6227	646	13	data	datum	NOUN
ejpam-6227	646	14	.	.	PUNCT
ejpam-6227	647	1	fuzzy	fuzzy	ADJ
ejpam-6227	647	2	sets	set	NOUN
ejpam-6227	647	3	and	and	CCONJ
ejpam-6227	647	4	systems	system	NOUN
ejpam-6227	647	5	,	,	PUNCT
ejpam-6227	647	6	84(1):49–60	84(1):49–60	NUM
ejpam-6227	647	7	,	,	PUNCT
ejpam-6227	647	8	1996	1996	NUM
ejpam-6227	647	9	.	.	PUNCT
ejpam-6227	648	1	[	[	X
ejpam-6227	648	2	16	16	NUM
ejpam-6227	648	3	]	]	X
ejpam-6227	648	4	l.	l.	PROPN
ejpam-6227	648	5	a.	a.	PROPN
ejpam-6227	648	6	zadeh	zadeh	PROPN
ejpam-6227	648	7	.	.	PUNCT
ejpam-6227	648	8	fuzzy	fuzzy	ADJ
ejpam-6227	648	9	sets	set	NOUN
ejpam-6227	648	10	.	.	PUNCT
ejpam-6227	649	1	information	information	NOUN
ejpam-6227	649	2	and	and	CCONJ
ejpam-6227	649	3	control	control	NOUN
ejpam-6227	649	4	,	,	PUNCT
ejpam-6227	649	5	8(3):338–353	8(3):338–353	NUM
ejpam-6227	649	6	,	,	PUNCT
ejpam-6227	649	7	1965	1965	NUM
ejpam-6227	649	8	.	.	PUNCT
ejpam-6227	650	1	[	[	X
ejpam-6227	650	2	17	17	NUM
ejpam-6227	650	3	]	]	PUNCT
ejpam-6227	650	4	z.	z.	PROPN
ejpam-6227	650	5	zararsız	zararsız	PROPN
ejpam-6227	650	6	.	.	PUNCT
ejpam-6227	651	1	new	new	ADJ
ejpam-6227	651	2	aczel	aczel	PROPN
ejpam-6227	651	3	–	–	PUNCT
ejpam-6227	651	4	alsina	alsina	NOUN
ejpam-6227	651	5	components	component	NOUN
ejpam-6227	651	6	for	for	ADP
ejpam-6227	651	7	bipolar	bipolar	ADJ
ejpam-6227	651	8	fuzzy	fuzzy	ADJ
ejpam-6227	651	9	numbers	number	NOUN
ejpam-6227	651	10	and	and	CCONJ
ejpam-6227	651	11	their	their	PRON
ejpam-6227	651	12	use	use	NOUN
ejpam-6227	651	13	in	in	ADP
ejpam-6227	651	14	multiattribute	multiattribute	NOUN
ejpam-6227	651	15	decision	decision	NOUN
ejpam-6227	651	16	making	making	NOUN
ejpam-6227	651	17	.	.	PUNCT
ejpam-6227	652	1	engineering	engineering	NOUN
ejpam-6227	652	2	applications	application	NOUN
ejpam-6227	652	3	of	of	ADP
ejpam-6227	652	4	artificial	artificial	ADJ
ejpam-6227	652	5	intelligence	intelligence	NOUN
ejpam-6227	652	6	,	,	PUNCT
ejpam-6227	652	7	132:108000	132:108000	NUM
ejpam-6227	652	8	,	,	PUNCT
ejpam-6227	652	9	2024	2024	NUM
ejpam-6227	652	10	.	.	PUNCT
ejpam-6227	653	1	[	[	X
ejpam-6227	653	2	18	18	NUM
ejpam-6227	653	3	]	]	PUNCT
ejpam-6227	653	4	m.	m.	NOUN
ejpam-6227	653	5	ahmadi	ahmadi	PROPN
ejpam-6227	653	6	kamarposhti	kamarposhti	PROPN
ejpam-6227	653	7	,	,	PUNCT
ejpam-6227	653	8	r.	r.	PROPN
ejpam-6227	653	9	ghandour	ghandour	PROPN
ejpam-6227	653	10	,	,	PUNCT
ejpam-6227	653	11	m.	m.	NOUN
ejpam-6227	653	12	abdel	abdel	PROPN
ejpam-6227	653	13	-	-	PUNCT
ejpam-6227	653	14	aty	aty	PROPN
ejpam-6227	653	15	,	,	PUNCT
ejpam-6227	653	16	m.	m.	NOUN
ejpam-6227	653	17	hafez	hafez	PROPN
ejpam-6227	653	18	,	,	PUNCT
ejpam-6227	653	19	m.	m.	NOUN
ejpam-6227	653	20	alfiras	alfiras	PROPN
ejpam-6227	653	21	,	,	PUNCT
ejpam-6227	653	22	s.	s.	PROPN
ejpam-6227	653	23	alkhazaleh	alkhazaleh	PROPN
ejpam-6227	653	24	,	,	PUNCT
ejpam-6227	653	25	a.	a.	PROPN
ejpam-6227	653	26	fahmi	fahmi	PROPN
ejpam-6227	653	27	et	et	PROPN
ejpam-6227	653	28	al	al	PROPN
ejpam-6227	653	29	.	.	PUNCT
ejpam-6227	653	30	/	/	SYM
ejpam-6227	653	31	eur	eur	PROPN
ejpam-6227	653	32	.	.	PUNCT
ejpam-6227	654	1	j.	j.	PROPN
ejpam-6227	654	2	pure	pure	PROPN
ejpam-6227	654	3	appl	appl	PROPN
ejpam-6227	654	4	.	.	PROPN
ejpam-6227	654	5	math	math	PROPN
ejpam-6227	654	6	,	,	PUNCT
ejpam-6227	654	7	18	18	NUM
ejpam-6227	654	8	(	(	PUNCT
ejpam-6227	654	9	3	3	NUM
ejpam-6227	654	10	)	)	PUNCT
ejpam-6227	654	11	(	(	PUNCT
ejpam-6227	654	12	2025	2025	NUM
ejpam-6227	654	13	)	)	PUNCT
ejpam-6227	654	14	,	,	PUNCT
ejpam-6227	654	15	6227	6227	NUM
ejpam-6227	654	16	35	35	NUM
ejpam-6227	654	17	of	of	ADP
ejpam-6227	654	18	37	37	NUM
ejpam-6227	654	19	i.	i.	NOUN
ejpam-6227	654	20	colak	colak	PROPN
ejpam-6227	654	21	,	,	PUNCT
ejpam-6227	654	22	and	and	CCONJ
ejpam-6227	654	23	a.	a.	NOUN
ejpam-6227	654	24	solyman	solyman	NOUN
ejpam-6227	654	25	.	.	PUNCT
ejpam-6227	655	1	optimizing	optimize	VERB
ejpam-6227	655	2	capacitor	capacitor	NOUN
ejpam-6227	655	3	bank	bank	NOUN
ejpam-6227	655	4	placement	placement	NOUN
ejpam-6227	655	5	in	in	ADP
ejpam-6227	655	6	distribution	distribution	NOUN
ejpam-6227	655	7	networks	network	NOUN
ejpam-6227	655	8	using	use	VERB
ejpam-6227	655	9	a	a	DET
ejpam-6227	655	10	multi	multi	ADJ
ejpam-6227	655	11	-	-	ADJ
ejpam-6227	655	12	objective	objective	ADJ
ejpam-6227	655	13	particle	particle	NOUN
ejpam-6227	655	14	swarm	swarm	NOUN
ejpam-6227	655	15	optimization	optimization	NOUN
ejpam-6227	655	16	approach	approach	NOUN
ejpam-6227	655	17	for	for	ADP
ejpam-6227	655	18	energy	energy	NOUN
ejpam-6227	655	19	efficiency	efficiency	NOUN
ejpam-6227	655	20	and	and	CCONJ
ejpam-6227	655	21	cost	cost	NOUN
ejpam-6227	655	22	reduction	reduction	NOUN
ejpam-6227	655	23	.	.	PUNCT
ejpam-6227	656	1	scientific	scientific	ADJ
ejpam-6227	656	2	reports	report	NOUN
ejpam-6227	656	3	,	,	PUNCT
ejpam-6227	656	4	15(1):12332	15(1):12332	NUM
ejpam-6227	656	5	,	,	PUNCT
ejpam-6227	656	6	2025	2025	NUM
ejpam-6227	656	7	.	.	PUNCT
ejpam-6227	657	1	[	[	X
ejpam-6227	657	2	19	19	NUM
ejpam-6227	657	3	]	]	X
ejpam-6227	657	4	rajermani	rajermani	PROPN
ejpam-6227	657	5	thinakaran	thinakaran	PROPN
ejpam-6227	657	6	,	,	PUNCT
ejpam-6227	657	7	somasekar	somasekar	NOUN
ejpam-6227	657	8	jalari	jalari	PROPN
ejpam-6227	657	9	,	,	PUNCT
ejpam-6227	657	10	vikram	vikram	PROPN
ejpam-6227	657	11	neerugatti	neerugatti	PROPN
ejpam-6227	657	12	,	,	PUNCT
ejpam-6227	657	13	ravindra	ravindra	PROPN
ejpam-6227	657	14	raman	raman	NOUN
ejpam-6227	657	15	cholla	cholla	NOUN
ejpam-6227	657	16	,	,	PUNCT
ejpam-6227	657	17	and	and	CCONJ
ejpam-6227	657	18	k.	k.	PROPN
ejpam-6227	657	19	nagendra	nagendra	PROPN
ejpam-6227	657	20	rao	rao	PROPN
ejpam-6227	657	21	.	.	PUNCT
ejpam-6227	658	1	smart	smart	ADJ
ejpam-6227	658	2	energy	energy	NOUN
ejpam-6227	658	3	management	management	NOUN
ejpam-6227	658	4	system	system	NOUN
ejpam-6227	658	5	using	use	VERB
ejpam-6227	658	6	iot	iot	NOUN
ejpam-6227	658	7	for	for	ADP
ejpam-6227	658	8	real	real	ADJ
ejpam-6227	658	9	-	-	PUNCT
ejpam-6227	658	10	time	time	NOUN
ejpam-6227	658	11	monitoring	monitoring	NOUN
ejpam-6227	658	12	and	and	CCONJ
ejpam-6227	658	13	theft	theft	NOUN
ejpam-6227	658	14	detection	detection	NOUN
ejpam-6227	658	15	.	.	PUNCT
ejpam-6227	659	1	in	in	ADP
ejpam-6227	659	2	2024	2024	NUM
ejpam-6227	659	3	9th	9th	ADJ
ejpam-6227	659	4	international	international	ADJ
ejpam-6227	659	5	conference	conference	NOUN
ejpam-6227	659	6	on	on	ADP
ejpam-6227	659	7	information	information	NOUN
ejpam-6227	659	8	technology	technology	NOUN
ejpam-6227	659	9	and	and	CCONJ
ejpam-6227	659	10	digital	digital	ADJ
ejpam-6227	659	11	applications	application	NOUN
ejpam-6227	659	12	(	(	PUNCT
ejpam-6227	659	13	icitda	icitda	NOUN
ejpam-6227	659	14	)	)	PUNCT
ejpam-6227	659	15	,	,	PUNCT
ejpam-6227	659	16	pages	page	NOUN
ejpam-6227	659	17	1–5	1–5	PROPN
ejpam-6227	659	18	.	.	PUNCT
ejpam-6227	659	19	ieee	ieee	PROPN
ejpam-6227	659	20	,	,	PUNCT
ejpam-6227	659	21	2024	2024	NUM
ejpam-6227	659	22	.	.	PUNCT
ejpam-6227	660	1	[	[	X
ejpam-6227	660	2	20	20	NUM
ejpam-6227	660	3	]	]	PUNCT
ejpam-6227	660	4	w.	w.	PROPN
ejpam-6227	660	5	s.	s.	PROPN
ejpam-6227	660	6	du	du	PROPN
ejpam-6227	660	7	.	.	PROPN
ejpam-6227	660	8	yager	yager	PROPN
ejpam-6227	660	9	’s	’s	PART
ejpam-6227	660	10	type	type	NOUN
ejpam-6227	660	11	weighted	weight	VERB
ejpam-6227	660	12	power	power	NOUN
ejpam-6227	660	13	means	mean	NOUN
ejpam-6227	660	14	of	of	ADP
ejpam-6227	660	15	q	q	NOUN
ejpam-6227	660	16	-	-	PUNCT
ejpam-6227	660	17	rung	rung	ADJ
ejpam-6227	660	18	orthopair	orthopair	ADJ
ejpam-6227	660	19	fuzzy	fuzzy	ADJ
ejpam-6227	660	20	information	information	NOUN
ejpam-6227	660	21	and	and	CCONJ
ejpam-6227	660	22	their	their	PRON
ejpam-6227	660	23	applications	application	NOUN
ejpam-6227	660	24	to	to	AUX
ejpam-6227	660	25	multi	multi	ADJ
ejpam-6227	660	26	-	-	ADJ
ejpam-6227	660	27	criteria	criterion	NOUN
ejpam-6227	660	28	decision	decision	NOUN
ejpam-6227	660	29	making	making	NOUN
ejpam-6227	660	30	.	.	PUNCT
ejpam-6227	661	1	computational	computational	ADJ
ejpam-6227	661	2	and	and	CCONJ
ejpam-6227	661	3	applied	applied	ADJ
ejpam-6227	661	4	mathematics	mathematic	NOUN
ejpam-6227	661	5	,	,	PUNCT
ejpam-6227	661	6	44(2):161	44(2):161	NUM
ejpam-6227	661	7	,	,	PUNCT
ejpam-6227	661	8	2025	2025	NUM
ejpam-6227	661	9	.	.	PUNCT
ejpam-6227	662	1	[	[	X
ejpam-6227	662	2	21	21	NUM
ejpam-6227	662	3	]	]	X
ejpam-6227	662	4	h.	h.	PROPN
ejpam-6227	662	5	chaouch	chaouch	PROPN
ejpam-6227	662	6	,	,	PUNCT
ejpam-6227	662	7	c.	c.	PROPN
ejpam-6227	662	8	ceken	ceken	NOUN
ejpam-6227	662	9	,	,	PUNCT
ejpam-6227	662	10	and	and	CCONJ
ejpam-6227	662	11	s.	s.	PROPN
ejpam-6227	662	12	arı	arı	PROPN
ejpam-6227	662	13	.	.	PUNCT
ejpam-6227	663	1	energy	energy	NOUN
ejpam-6227	663	2	management	management	NOUN
ejpam-6227	663	3	of	of	ADP
ejpam-6227	663	4	hvac	hvac	PROPN
ejpam-6227	663	5	systems	system	NOUN
ejpam-6227	663	6	in	in	ADP
ejpam-6227	663	7	smart	smart	ADJ
ejpam-6227	663	8	buildings	building	NOUN
ejpam-6227	663	9	by	by	ADP
ejpam-6227	663	10	using	use	VERB
ejpam-6227	663	11	fuzzy	fuzzy	ADJ
ejpam-6227	663	12	logic	logic	NOUN
ejpam-6227	663	13	and	and	CCONJ
ejpam-6227	663	14	m2	m2	PROPN
ejpam-6227	663	15	m	m	PROPN
ejpam-6227	663	16	communication	communication	NOUN
ejpam-6227	663	17	.	.	PUNCT
ejpam-6227	664	1	journal	journal	NOUN
ejpam-6227	664	2	of	of	ADP
ejpam-6227	664	3	building	build	VERB
ejpam-6227	664	4	engineering	engineering	NOUN
ejpam-6227	664	5	,	,	PUNCT
ejpam-6227	664	6	44:102606	44:102606	NUM
ejpam-6227	664	7	,	,	PUNCT
ejpam-6227	664	8	2021	2021	NUM
ejpam-6227	664	9	.	.	PUNCT
ejpam-6227	665	1	[	[	X
ejpam-6227	665	2	22	22	NUM
ejpam-6227	665	3	]	]	PUNCT
ejpam-6227	665	4	a.	a.	PROPN
ejpam-6227	665	5	k.	k.	PROPN
ejpam-6227	665	6	das	das	PROPN
ejpam-6227	665	7	and	and	CCONJ
ejpam-6227	665	8	c.	c.	PROPN
ejpam-6227	665	9	granados	granados	PROPN
ejpam-6227	665	10	.	.	PUNCT
ejpam-6227	666	1	a	a	DET
ejpam-6227	666	2	new	new	ADJ
ejpam-6227	666	3	fuzzy	fuzzy	ADJ
ejpam-6227	666	4	parameterized	parameterized	ADJ
ejpam-6227	666	5	intuitionistic	intuitionistic	ADJ
ejpam-6227	666	6	fuzzy	fuzzy	ADJ
ejpam-6227	666	7	soft	soft	ADJ
ejpam-6227	666	8	multiset	multiset	ADJ
ejpam-6227	666	9	theory	theory	NOUN
ejpam-6227	666	10	and	and	CCONJ
ejpam-6227	666	11	group	group	NOUN
ejpam-6227	666	12	decision	decision	NOUN
ejpam-6227	666	13	-	-	PUNCT
ejpam-6227	666	14	making	making	NOUN
ejpam-6227	666	15	.	.	PUNCT
ejpam-6227	667	1	journal	journal	NOUN
ejpam-6227	667	2	of	of	ADP
ejpam-6227	667	3	current	current	ADJ
ejpam-6227	667	4	science	science	NOUN
ejpam-6227	667	5	and	and	CCONJ
ejpam-6227	667	6	technology	technology	NOUN
ejpam-6227	667	7	,	,	PUNCT
ejpam-6227	667	8	12(3):547	12(3):547	NUM
ejpam-6227	667	9	–	–	PUNCT
ejpam-6227	667	10	567	567	NUM
ejpam-6227	667	11	,	,	PUNCT
ejpam-6227	667	12	2022	2022	NUM
ejpam-6227	667	13	.	.	PUNCT
ejpam-6227	668	1	[	[	X
ejpam-6227	668	2	23	23	NUM
ejpam-6227	668	3	]	]	PUNCT
ejpam-6227	668	4	a.	a.	PROPN
ejpam-6227	668	5	k.	k.	PROPN
ejpam-6227	668	6	das	das	PROPN
ejpam-6227	668	7	and	and	CCONJ
ejpam-6227	668	8	c.	c.	PROPN
ejpam-6227	668	9	granados	granados	PROPN
ejpam-6227	668	10	.	.	PUNCT
ejpam-6227	669	1	fp	fp	ADJ
ejpam-6227	669	2	-	-	PUNCT
ejpam-6227	669	3	intuitionistic	intuitionistic	ADJ
ejpam-6227	669	4	multi	multi	ADJ
ejpam-6227	669	5	fuzzy	fuzzy	ADJ
ejpam-6227	669	6	n	n	CCONJ
ejpam-6227	669	7	-	-	PUNCT
ejpam-6227	669	8	soft	soft	ADJ
ejpam-6227	669	9	set	set	NOUN
ejpam-6227	669	10	and	and	CCONJ
ejpam-6227	669	11	its	its	PRON
ejpam-6227	669	12	induced	induced	ADJ
ejpam-6227	669	13	fphesitant	fphesitant	ADJ
ejpam-6227	669	14	n	n	CCONJ
ejpam-6227	669	15	soft	soft	ADJ
ejpam-6227	669	16	set	set	NOUN
ejpam-6227	669	17	in	in	ADP
ejpam-6227	669	18	decision	decision	NOUN
ejpam-6227	669	19	-	-	PUNCT
ejpam-6227	669	20	making	making	NOUN
ejpam-6227	669	21	.	.	PUNCT
ejpam-6227	670	1	decision	decision	NOUN
ejpam-6227	670	2	making	making	NOUN
ejpam-6227	670	3	:	:	PUNCT
ejpam-6227	670	4	applications	application	NOUN
ejpam-6227	670	5	in	in	ADP
ejpam-6227	670	6	management	management	NOUN
ejpam-6227	670	7	and	and	CCONJ
ejpam-6227	670	8	engineering	engineering	NOUN
ejpam-6227	670	9	,	,	PUNCT
ejpam-6227	670	10	5(1):67–89	5(1):67–89	NUM
ejpam-6227	670	11	,	,	PUNCT
ejpam-6227	670	12	2022	2022	NUM
ejpam-6227	670	13	.	.	PUNCT
ejpam-6227	671	1	[	[	X
ejpam-6227	671	2	24	24	NUM
ejpam-6227	671	3	]	]	PUNCT
ejpam-6227	671	4	a.	a.	PROPN
ejpam-6227	671	5	k.	k.	PROPN
ejpam-6227	671	6	das	das	PROPN
ejpam-6227	671	7	and	and	CCONJ
ejpam-6227	671	8	c.	c.	PROPN
ejpam-6227	671	9	granados	granados	PROPN
ejpam-6227	671	10	.	.	PUNCT
ejpam-6227	672	1	ifp	ifp	ADJ
ejpam-6227	672	2	-	-	PUNCT
ejpam-6227	672	3	intuitionistic	intuitionistic	ADJ
ejpam-6227	672	4	multi	multi	ADJ
ejpam-6227	672	5	fuzzy	fuzzy	ADJ
ejpam-6227	672	6	n	n	CCONJ
ejpam-6227	672	7	-	-	PUNCT
ejpam-6227	672	8	soft	soft	ADJ
ejpam-6227	672	9	set	set	NOUN
ejpam-6227	672	10	and	and	CCONJ
ejpam-6227	672	11	its	its	PRON
ejpam-6227	672	12	induced	induce	VERB
ejpam-6227	672	13	ifphesitant	ifphesitant	ADJ
ejpam-6227	672	14	n	n	CCONJ
ejpam-6227	672	15	-	-	PUNCT
ejpam-6227	672	16	soft	soft	ADJ
ejpam-6227	672	17	set	set	NOUN
ejpam-6227	672	18	in	in	ADP
ejpam-6227	672	19	decision	decision	NOUN
ejpam-6227	672	20	-	-	PUNCT
ejpam-6227	672	21	making	making	NOUN
ejpam-6227	672	22	.	.	PUNCT
ejpam-6227	673	1	journal	journal	PROPN
ejpam-6227	673	2	of	of	ADP
ejpam-6227	673	3	ambient	ambient	ADJ
ejpam-6227	673	4	intelligence	intelligence	NOUN
ejpam-6227	673	5	and	and	CCONJ
ejpam-6227	673	6	humanized	humanize	VERB
ejpam-6227	673	7	computing	computing	NOUN
ejpam-6227	673	8	,	,	PUNCT
ejpam-6227	673	9	14(8):10143–10152	14(8):10143–10152	NUM
ejpam-6227	673	10	,	,	PUNCT
ejpam-6227	673	11	2023	2023	NUM
ejpam-6227	673	12	.	.	PUNCT
ejpam-6227	674	1	[	[	X
ejpam-6227	674	2	25	25	NUM
ejpam-6227	674	3	]	]	PUNCT
ejpam-6227	674	4	a.	a.	NOUN
ejpam-6227	674	5	k.	k.	PROPN
ejpam-6227	674	6	das	das	PROPN
ejpam-6227	674	7	.	.	PUNCT
ejpam-6227	675	1	on	on	ADP
ejpam-6227	675	2	partially	partially	ADV
ejpam-6227	675	3	included	include	VERB
ejpam-6227	675	4	intuitionistic	intuitionistic	ADJ
ejpam-6227	675	5	fuzzy	fuzzy	ADJ
ejpam-6227	675	6	rough	rough	ADJ
ejpam-6227	675	7	relations	relation	NOUN
ejpam-6227	675	8	.	.	PUNCT
ejpam-6227	676	1	afrika	afrika	PROPN
ejpam-6227	676	2	matematika	matematika	PROPN
ejpam-6227	676	3	,	,	PUNCT
ejpam-6227	676	4	27(5):993–1001	27(5):993–1001	NUM
ejpam-6227	676	5	,	,	PUNCT
ejpam-6227	676	6	2016	2016	NUM
ejpam-6227	676	7	.	.	PUNCT
ejpam-6227	677	1	[	[	X
ejpam-6227	677	2	26	26	NUM
ejpam-6227	677	3	]	]	PUNCT
ejpam-6227	677	4	a.	a.	PROPN
ejpam-6227	677	5	k.	k.	PROPN
ejpam-6227	677	6	das	das	PROPN
ejpam-6227	677	7	and	and	CCONJ
ejpam-6227	677	8	c.	c.	PROPN
ejpam-6227	677	9	granados	granados	PROPN
ejpam-6227	677	10	.	.	PUNCT
ejpam-6227	678	1	an	an	DET
ejpam-6227	678	2	advanced	advanced	ADJ
ejpam-6227	678	3	approach	approach	NOUN
ejpam-6227	678	4	to	to	ADP
ejpam-6227	678	5	fuzzy	fuzzy	ADJ
ejpam-6227	678	6	soft	soft	ADJ
ejpam-6227	678	7	group	group	NOUN
ejpam-6227	678	8	decision	decision	NOUN
ejpam-6227	678	9	-	-	PUNCT
ejpam-6227	678	10	making	making	NOUN
ejpam-6227	678	11	using	use	VERB
ejpam-6227	678	12	weighted	weight	VERB
ejpam-6227	678	13	average	average	ADJ
ejpam-6227	678	14	ratings	rating	NOUN
ejpam-6227	678	15	.	.	PUNCT
ejpam-6227	679	1	sn	sn	PROPN
ejpam-6227	679	2	computer	computer	NOUN
ejpam-6227	679	3	science	science	NOUN
ejpam-6227	679	4	,	,	PUNCT
ejpam-6227	679	5	2(6):471	2(6):471	NUM
ejpam-6227	679	6	,	,	PUNCT
ejpam-6227	679	7	2021	2021	NUM
ejpam-6227	679	8	.	.	PUNCT
ejpam-6227	680	1	[	[	X
ejpam-6227	680	2	27	27	NUM
ejpam-6227	680	3	]	]	PUNCT
ejpam-6227	680	4	a.	a.	PROPN
ejpam-6227	680	5	k.	k.	PROPN
ejpam-6227	680	6	das	das	PROPN
ejpam-6227	680	7	,	,	PUNCT
ejpam-6227	680	8	n.	n.	PROPN
ejpam-6227	680	9	gupta	gupta	PROPN
ejpam-6227	680	10	,	,	PUNCT
ejpam-6227	680	11	t.	t.	PROPN
ejpam-6227	680	12	mahmood	mahmood	PROPN
ejpam-6227	680	13	,	,	PUNCT
ejpam-6227	680	14	b.	b.	PROPN
ejpam-6227	680	15	c.	c.	PROPN
ejpam-6227	680	16	tripathy	tripathy	PROPN
ejpam-6227	680	17	,	,	PUNCT
ejpam-6227	680	18	r.	r.	PROPN
ejpam-6227	680	19	das	das	PROPN
ejpam-6227	680	20	,	,	PUNCT
ejpam-6227	680	21	and	and	CCONJ
ejpam-6227	680	22	s.	s.	PROPN
ejpam-6227	680	23	das	das	PROPN
ejpam-6227	680	24	.	.	PUNCT
ejpam-6227	681	1	an	an	DET
ejpam-6227	681	2	innovative	innovative	ADJ
ejpam-6227	681	3	fuzzy	fuzzy	ADJ
ejpam-6227	681	4	multi	multi	ADJ
ejpam-6227	681	5	-	-	ADJ
ejpam-6227	681	6	criteria	criteria	ADJ
ejpam-6227	681	7	decision	decision	NOUN
ejpam-6227	681	8	making	make	VERB
ejpam-6227	681	9	model	model	NOUN
ejpam-6227	681	10	for	for	ADP
ejpam-6227	681	11	analyzing	analyze	VERB
ejpam-6227	681	12	anthropogenic	anthropogenic	ADJ
ejpam-6227	681	13	influences	influence	NOUN
ejpam-6227	681	14	on	on	ADP
ejpam-6227	681	15	urban	urban	ADJ
ejpam-6227	681	16	river	river	NOUN
ejpam-6227	681	17	water	water	NOUN
ejpam-6227	681	18	quality	quality	NOUN
ejpam-6227	681	19	.	.	PUNCT
ejpam-6227	682	1	iran	iran	PROPN
ejpam-6227	682	2	journal	journal	PROPN
ejpam-6227	682	3	of	of	ADP
ejpam-6227	682	4	computer	computer	NOUN
ejpam-6227	682	5	science	science	NOUN
ejpam-6227	682	6	,	,	PUNCT
ejpam-6227	682	7	8(1):103–124	8(1):103–124	NUM
ejpam-6227	682	8	,	,	PUNCT
ejpam-6227	682	9	2025	2025	NUM
ejpam-6227	682	10	.	.	PUNCT
ejpam-6227	683	1	[	[	X
ejpam-6227	683	2	28	28	NUM
ejpam-6227	683	3	]	]	PUNCT
ejpam-6227	683	4	a.	a.	NOUN
ejpam-6227	683	5	dounis	dounis	PROPN
ejpam-6227	683	6	,	,	PUNCT
ejpam-6227	683	7	i.	i.	PROPN
ejpam-6227	683	8	palaiothodoros	palaiothodoros	PROPN
ejpam-6227	683	9	,	,	PUNCT
ejpam-6227	683	10	and	and	CCONJ
ejpam-6227	683	11	a.	a.	NOUN
ejpam-6227	683	12	panagiotou	panagiotou	PROPN
ejpam-6227	683	13	.	.	PUNCT
ejpam-6227	684	1	medical	medical	ADJ
ejpam-6227	684	2	diagnosis	diagnosis	NOUN
ejpam-6227	684	3	based	base	VERB
ejpam-6227	684	4	on	on	ADP
ejpam-6227	684	5	multiattribute	multiattribute	NOUN
ejpam-6227	684	6	group	group	NOUN
ejpam-6227	684	7	decision	decision	NOUN
ejpam-6227	684	8	-	-	PUNCT
ejpam-6227	684	9	making	making	NOUN
ejpam-6227	684	10	using	use	VERB
ejpam-6227	684	11	extension	extension	NOUN
ejpam-6227	684	12	fuzzy	fuzzy	ADJ
ejpam-6227	684	13	sets	set	NOUN
ejpam-6227	684	14	,	,	PUNCT
ejpam-6227	684	15	aggregation	aggregation	NOUN
ejpam-6227	684	16	operators	operator	NOUN
ejpam-6227	684	17	and	and	CCONJ
ejpam-6227	684	18	basic	basic	ADJ
ejpam-6227	684	19	uncertainty	uncertainty	NOUN
ejpam-6227	684	20	information	information	NOUN
ejpam-6227	684	21	granule	granule	NOUN
ejpam-6227	684	22	.	.	PUNCT
ejpam-6227	685	1	cmes	cmes	PROPN
ejpam-6227	685	2	-	-	PUNCT
ejpam-6227	685	3	computer	computer	NOUN
ejpam-6227	685	4	modeling	modeling	NOUN
ejpam-6227	685	5	in	in	ADP
ejpam-6227	685	6	engineering	engineering	NOUN
ejpam-6227	685	7	&	&	CCONJ
ejpam-6227	685	8	sciences	sciences	PROPN
ejpam-6227	685	9	,	,	PUNCT
ejpam-6227	685	10	142(1	142(1	NUM
ejpam-6227	685	11	)	)	PUNCT
ejpam-6227	685	12	,	,	PUNCT
ejpam-6227	685	13	2025	2025	NUM
ejpam-6227	685	14	.	.	PUNCT
ejpam-6227	686	1	[	[	X
ejpam-6227	686	2	29	29	NUM
ejpam-6227	686	3	]	]	PUNCT
ejpam-6227	686	4	k.	k.	PROPN
ejpam-6227	686	5	debnath	debnath	PROPN
ejpam-6227	686	6	and	and	CCONJ
ejpam-6227	686	7	s.	s.	PROPN
ejpam-6227	686	8	k.	k.	PROPN
ejpam-6227	686	9	roy	roy	PROPN
ejpam-6227	686	10	.	.	PROPN
ejpam-6227	686	11	power	power	PROPN
ejpam-6227	686	12	partitioned	partition	VERB
ejpam-6227	686	13	neutral	neutral	ADJ
ejpam-6227	686	14	aggregation	aggregation	NOUN
ejpam-6227	686	15	operators	operator	NOUN
ejpam-6227	686	16	for	for	ADP
ejpam-6227	686	17	t	t	NOUN
ejpam-6227	686	18	-	-	PUNCT
ejpam-6227	686	19	spherical	spherical	ADJ
ejpam-6227	686	20	fuzzy	fuzzy	ADJ
ejpam-6227	686	21	sets	set	NOUN
ejpam-6227	686	22	:	:	PUNCT
ejpam-6227	686	23	an	an	DET
ejpam-6227	686	24	application	application	NOUN
ejpam-6227	686	25	to	to	ADP
ejpam-6227	686	26	h2	h2	NOUN
ejpam-6227	686	27	refuelling	refuelling	NOUN
ejpam-6227	686	28	site	site	NOUN
ejpam-6227	686	29	selection	selection	NOUN
ejpam-6227	686	30	.	.	PUNCT
ejpam-6227	687	1	expert	expert	NOUN
ejpam-6227	687	2	systems	system	NOUN
ejpam-6227	687	3	with	with	ADP
ejpam-6227	687	4	applications	application	NOUN
ejpam-6227	687	5	,	,	PUNCT
ejpam-6227	687	6	216:119470	216:119470	NUM
ejpam-6227	687	7	,	,	PUNCT
ejpam-6227	687	8	2023	2023	NUM
ejpam-6227	687	9	.	.	PUNCT
ejpam-6227	688	1	[	[	X
ejpam-6227	688	2	30	30	NUM
ejpam-6227	688	3	]	]	X
ejpam-6227	688	4	c.	c.	PROPN
ejpam-6227	688	5	zhang	zhang	PROPN
ejpam-6227	688	6	,	,	PUNCT
ejpam-6227	688	7	j.	j.	PROPN
ejpam-6227	688	8	ding	ding	PROPN
ejpam-6227	688	9	,	,	PUNCT
ejpam-6227	688	10	d.	d.	PROPN
ejpam-6227	688	11	li	li	PROPN
ejpam-6227	688	12	,	,	PUNCT
ejpam-6227	688	13	and	and	CCONJ
ejpam-6227	688	14	j.	j.	PROPN
ejpam-6227	688	15	zhan	zhan	PROPN
ejpam-6227	688	16	.	.	PUNCT
ejpam-6227	689	1	a	a	DET
ejpam-6227	689	2	novel	novel	ADJ
ejpam-6227	689	3	multi	multi	ADJ
ejpam-6227	689	4	-	-	NOUN
ejpam-6227	689	5	granularity	granularity	NOUN
ejpam-6227	689	6	three	three	NUM
ejpam-6227	689	7	-	-	PUNCT
ejpam-6227	689	8	way	way	NOUN
ejpam-6227	689	9	decision	decision	NOUN
ejpam-6227	689	10	making	make	VERB
ejpam-6227	689	11	approach	approach	NOUN
ejpam-6227	689	12	in	in	ADP
ejpam-6227	689	13	q	q	ADJ
ejpam-6227	689	14	-	-	PUNCT
ejpam-6227	689	15	rung	rung	ADJ
ejpam-6227	689	16	orthopair	orthopair	ADJ
ejpam-6227	689	17	fuzzy	fuzzy	ADJ
ejpam-6227	689	18	information	information	NOUN
ejpam-6227	689	19	systems	system	NOUN
ejpam-6227	689	20	.	.	PUNCT
ejpam-6227	690	1	international	international	ADJ
ejpam-6227	690	2	journal	journal	PROPN
ejpam-6227	690	3	of	of	ADP
ejpam-6227	690	4	approximate	approximate	ADJ
ejpam-6227	690	5	reasoning	reasoning	NOUN
ejpam-6227	690	6	,	,	PUNCT
ejpam-6227	690	7	138:161–187	138:161–187	NUM
ejpam-6227	690	8	,	,	PUNCT
ejpam-6227	690	9	2021	2021	NUM
ejpam-6227	690	10	.	.	PUNCT
ejpam-6227	691	1	[	[	X
ejpam-6227	691	2	31	31	NUM
ejpam-6227	691	3	]	]	PUNCT
ejpam-6227	691	4	x.	x.	PROPN
ejpam-6227	691	5	zhang	zhang	PROPN
ejpam-6227	691	6	,	,	PUNCT
ejpam-6227	691	7	p.	p.	PROPN
ejpam-6227	691	8	liu	liu	PROPN
ejpam-6227	691	9	,	,	PUNCT
ejpam-6227	691	10	and	and	CCONJ
ejpam-6227	691	11	y.	y.	PROPN
ejpam-6227	691	12	wang	wang	PROPN
ejpam-6227	691	13	.	.	PUNCT
ejpam-6227	692	1	multiple	multiple	ADJ
ejpam-6227	692	2	attribute	attribute	NOUN
ejpam-6227	692	3	group	group	NOUN
ejpam-6227	692	4	decision	decision	NOUN
ejpam-6227	692	5	making	make	VERB
ejpam-6227	692	6	methods	method	NOUN
ejpam-6227	692	7	based	base	VERB
ejpam-6227	692	8	on	on	ADP
ejpam-6227	692	9	intuitionistic	intuitionistic	ADJ
ejpam-6227	692	10	fuzzy	fuzzy	ADJ
ejpam-6227	692	11	frank	frank	ADJ
ejpam-6227	692	12	power	power	NOUN
ejpam-6227	692	13	aggregation	aggregation	NOUN
ejpam-6227	692	14	operators	operator	NOUN
ejpam-6227	692	15	.	.	PUNCT
ejpam-6227	693	1	journal	journal	NOUN
ejpam-6227	693	2	of	of	ADP
ejpam-6227	693	3	intelligent	intelligent	ADJ
ejpam-6227	693	4	&	&	CCONJ
ejpam-6227	693	5	fuzzy	fuzzy	ADJ
ejpam-6227	693	6	systems	system	NOUN
ejpam-6227	693	7	,	,	PUNCT
ejpam-6227	693	8	29(5):2235–2246	29(5):2235–2246	NUM
ejpam-6227	693	9	,	,	PUNCT
ejpam-6227	693	10	2015	2015	NUM
ejpam-6227	693	11	.	.	PUNCT
ejpam-6227	694	1	[	[	X
ejpam-6227	694	2	32	32	NUM
ejpam-6227	694	3	]	]	PUNCT
ejpam-6227	694	4	l.	l.	PROPN
ejpam-6227	694	5	p.	p.	PROPN
ejpam-6227	694	6	zhou	zhou	PROPN
ejpam-6227	694	7	,	,	PUNCT
ejpam-6227	694	8	j.	j.	PROPN
ejpam-6227	694	9	y.	y.	PROPN
ejpam-6227	694	10	dong	dong	PROPN
ejpam-6227	694	11	,	,	PUNCT
ejpam-6227	694	12	and	and	CCONJ
ejpam-6227	694	13	s.	s.	PROPN
ejpam-6227	694	14	p.	p.	PROPN
ejpam-6227	694	15	wan	wan	PROPN
ejpam-6227	694	16	.	.	PUNCT
ejpam-6227	695	1	two	two	NUM
ejpam-6227	695	2	new	new	ADJ
ejpam-6227	695	3	approaches	approach	NOUN
ejpam-6227	695	4	for	for	ADP
ejpam-6227	695	5	multi	multi	ADJ
ejpam-6227	695	6	-	-	ADJ
ejpam-6227	695	7	attribute	attribute	NOUN
ejpam-6227	695	8	group	group	NOUN
ejpam-6227	695	9	decision	decision	NOUN
ejpam-6227	695	10	-	-	PUNCT
ejpam-6227	695	11	making	making	NOUN
ejpam-6227	695	12	with	with	ADP
ejpam-6227	695	13	interval	interval	NOUN
ejpam-6227	695	14	-	-	PUNCT
ejpam-6227	695	15	valued	value	VERB
ejpam-6227	695	16	neutrosophic	neutrosophic	ADJ
ejpam-6227	695	17	frank	frank	PROPN
ejpam-6227	695	18	aggregation	aggregation	NOUN
ejpam-6227	695	19	operators	operator	NOUN
ejpam-6227	695	20	and	and	CCONJ
ejpam-6227	695	21	incomplete	incomplete	ADJ
ejpam-6227	695	22	weights	weight	NOUN
ejpam-6227	695	23	.	.	PUNCT
ejpam-6227	696	1	ieee	ieee	NOUN
ejpam-6227	696	2	access	access	NOUN
ejpam-6227	696	3	,	,	PUNCT
ejpam-6227	696	4	7:102727–102750	7:102727–102750	NUM
ejpam-6227	696	5	,	,	PUNCT
ejpam-6227	696	6	2019	2019	NUM
ejpam-6227	696	7	.	.	PUNCT
ejpam-6227	697	1	[	[	X
ejpam-6227	697	2	33	33	NUM
ejpam-6227	697	3	]	]	PUNCT
ejpam-6227	697	4	s.	s.	PROPN
ejpam-6227	697	5	h.	h.	PROPN
ejpam-6227	697	6	gurmani	gurmani	PROPN
ejpam-6227	697	7	,	,	PUNCT
ejpam-6227	697	8	z.	z.	PROPN
ejpam-6227	697	9	zhang	zhang	PROPN
ejpam-6227	697	10	,	,	PUNCT
ejpam-6227	697	11	r.	r.	PROPN
ejpam-6227	697	12	m.	m.	PROPN
ejpam-6227	697	13	zulqarnain	zulqarnain	PROPN
ejpam-6227	697	14	,	,	PUNCT
ejpam-6227	697	15	and	and	CCONJ
ejpam-6227	697	16	s.	s.	PROPN
ejpam-6227	697	17	askar	askar	PROPN
ejpam-6227	697	18	.	.	PUNCT
ejpam-6227	698	1	an	an	DET
ejpam-6227	698	2	interaction	interaction	NOUN
ejpam-6227	698	3	and	and	CCONJ
ejpam-6227	698	4	feedback	feedback	NOUN
ejpam-6227	698	5	mechanism	mechanism	NOUN
ejpam-6227	698	6	-	-	PUNCT
ejpam-6227	698	7	based	base	VERB
ejpam-6227	698	8	group	group	NOUN
ejpam-6227	698	9	decision	decision	NOUN
ejpam-6227	698	10	-	-	PUNCT
ejpam-6227	698	11	making	making	NOUN
ejpam-6227	698	12	for	for	ADP
ejpam-6227	698	13	emergency	emergency	NOUN
ejpam-6227	698	14	medical	medical	ADJ
ejpam-6227	698	15	supplies	supply	NOUN
ejpam-6227	698	16	supplier	supplier	NOUN
ejpam-6227	698	17	selection	selection	NOUN
ejpam-6227	698	18	using	use	VERB
ejpam-6227	698	19	t	t	NOUN
ejpam-6227	698	20	-	-	PUNCT
ejpam-6227	698	21	spherical	spherical	ADJ
ejpam-6227	698	22	fuzzy	fuzzy	ADJ
ejpam-6227	698	23	information	information	NOUN
ejpam-6227	698	24	.	.	PUNCT
ejpam-6227	699	1	scientific	scientific	ADJ
ejpam-6227	699	2	reports	report	NOUN
ejpam-6227	699	3	,	,	PUNCT
ejpam-6227	699	4	13(1):8726	13(1):8726	NUM
ejpam-6227	699	5	,	,	PUNCT
ejpam-6227	699	6	2023	2023	NUM
ejpam-6227	699	7	.	.	PUNCT
ejpam-6227	700	1	[	[	X
ejpam-6227	700	2	34	34	NUM
ejpam-6227	700	3	]	]	X
ejpam-6227	700	4	h.	h.	PROPN
ejpam-6227	700	5	khan	khan	PROPN
ejpam-6227	700	6	,	,	PUNCT
ejpam-6227	700	7	j.	j.	PROPN
ejpam-6227	700	8	alzabut	alzabut	PROPN
ejpam-6227	700	9	,	,	PUNCT
ejpam-6227	700	10	d.	d.	PROPN
ejpam-6227	700	11	k.	k.	PROPN
ejpam-6227	700	12	almutairi	almutairi	PROPN
ejpam-6227	700	13	,	,	PUNCT
ejpam-6227	700	14	h.	h.	PROPN
ejpam-6227	700	15	gulzar	gulzar	PROPN
ejpam-6227	700	16	,	,	PUNCT
ejpam-6227	700	17	and	and	CCONJ
ejpam-6227	700	18	w.	w.	PROPN
ejpam-6227	700	19	k.	k.	PROPN
ejpam-6227	700	20	alqurashi	alqurashi	PROPN
ejpam-6227	700	21	.	.	PUNCT
ejpam-6227	701	1	data	datum	NOUN
ejpam-6227	701	2	analysis	analysis	NOUN
ejpam-6227	701	3	of	of	ADP
ejpam-6227	701	4	fractal	fractal	ADJ
ejpam-6227	701	5	-	-	PUNCT
ejpam-6227	701	6	fractional	fractional	ADJ
ejpam-6227	701	7	co	co	NOUN
ejpam-6227	701	8	-	-	NOUN
ejpam-6227	701	9	infection	infection	ADJ
ejpam-6227	701	10	covid	covid	NOUN
ejpam-6227	701	11	-	-	PUNCT
ejpam-6227	701	12	tb	tb	ADP
ejpam-6227	701	13	model	model	NOUN
ejpam-6227	701	14	with	with	ADP
ejpam-6227	701	15	the	the	DET
ejpam-6227	701	16	use	use	NOUN
ejpam-6227	701	17	of	of	ADP
ejpam-6227	701	18	artificial	artificial	ADJ
ejpam-6227	701	19	intelligence	intelligence	NOUN
ejpam-6227	701	20	.	.	PUNCT
ejpam-6227	702	1	fractals	fractal	NOUN
ejpam-6227	702	2	,	,	PUNCT
ejpam-6227	702	3	page	page	NOUN
ejpam-6227	702	4	2540099	2540099	NUM
ejpam-6227	702	5	,	,	PUNCT
ejpam-6227	702	6	2025	2025	NUM
ejpam-6227	702	7	.	.	PUNCT
ejpam-6227	703	1	a.	a.	PROPN
ejpam-6227	703	2	fahmi	fahmi	PROPN
ejpam-6227	703	3	et	et	PROPN
ejpam-6227	703	4	al	al	PROPN
ejpam-6227	703	5	.	.	PUNCT
ejpam-6227	703	6	/	/	SYM
ejpam-6227	703	7	eur	eur	PROPN
ejpam-6227	703	8	.	.	PUNCT
ejpam-6227	704	1	j.	j.	PROPN
ejpam-6227	704	2	pure	pure	PROPN
ejpam-6227	704	3	appl	appl	PROPN
ejpam-6227	704	4	.	.	PROPN
ejpam-6227	704	5	math	math	PROPN
ejpam-6227	704	6	,	,	PUNCT
ejpam-6227	704	7	18	18	NUM
ejpam-6227	704	8	(	(	PUNCT
ejpam-6227	704	9	3	3	NUM
ejpam-6227	704	10	)	)	PUNCT
ejpam-6227	704	11	(	(	PUNCT
ejpam-6227	704	12	2025	2025	NUM
ejpam-6227	704	13	)	)	PUNCT
ejpam-6227	704	14	,	,	PUNCT
ejpam-6227	704	15	6227	6227	NUM
ejpam-6227	704	16	36	36	NUM
ejpam-6227	704	17	of	of	ADP
ejpam-6227	704	18	37	37	NUM
ejpam-6227	704	19	[	[	SYM
ejpam-6227	704	20	35	35	NUM
ejpam-6227	704	21	]	]	X
ejpam-6227	704	22	h.	h.	PROPN
ejpam-6227	704	23	khan	khan	PROPN
ejpam-6227	704	24	,	,	PUNCT
ejpam-6227	704	25	w.	w.	PROPN
ejpam-6227	704	26	k.	k.	PROPN
ejpam-6227	704	27	alqurashi	alqurashi	PROPN
ejpam-6227	704	28	,	,	PUNCT
ejpam-6227	704	29	j.	j.	PROPN
ejpam-6227	704	30	alzabut	alzabut	PROPN
ejpam-6227	704	31	,	,	PUNCT
ejpam-6227	704	32	d.	d.	PROPN
ejpam-6227	704	33	k.	k.	PROPN
ejpam-6227	704	34	almutairi	almutairi	PROPN
ejpam-6227	704	35	,	,	PUNCT
ejpam-6227	704	36	and	and	CCONJ
ejpam-6227	704	37	m.	m.	NOUN
ejpam-6227	704	38	a.	a.	PROPN
ejpam-6227	704	39	azim	azim	PROPN
ejpam-6227	704	40	.	.	PUNCT
ejpam-6227	705	1	artificial	artificial	ADJ
ejpam-6227	705	2	intelligence	intelligence	NOUN
ejpam-6227	705	3	and	and	CCONJ
ejpam-6227	705	4	neural	neural	ADJ
ejpam-6227	705	5	networking	networking	NOUN
ejpam-6227	705	6	for	for	ADP
ejpam-6227	705	7	an	an	DET
ejpam-6227	705	8	analysis	analysis	NOUN
ejpam-6227	705	9	of	of	ADP
ejpam-6227	705	10	fractal	fractal	ADJ
ejpam-6227	705	11	-	-	PUNCT
ejpam-6227	705	12	fractional	fractional	ADJ
ejpam-6227	705	13	zika	zika	X
ejpam-6227	705	14	virus	virus	NOUN
ejpam-6227	705	15	model	model	NOUN
ejpam-6227	705	16	.	.	PUNCT
ejpam-6227	706	1	fractals	fractal	NOUN
ejpam-6227	706	2	,	,	PUNCT
ejpam-6227	706	3	2025	2025	NUM
ejpam-6227	706	4	.	.	PUNCT
ejpam-6227	707	1	[	[	X
ejpam-6227	707	2	36	36	NUM
ejpam-6227	707	3	]	]	X
ejpam-6227	707	4	h.	h.	PROPN
ejpam-6227	707	5	khan	khan	PROPN
ejpam-6227	707	6	,	,	PUNCT
ejpam-6227	707	7	j.	j.	PROPN
ejpam-6227	707	8	alzabut	alzabut	PROPN
ejpam-6227	707	9	,	,	PUNCT
ejpam-6227	707	10	d.	d.	PROPN
ejpam-6227	707	11	k.	k.	PROPN
ejpam-6227	707	12	almutairi	almutairi	PROPN
ejpam-6227	707	13	,	,	PUNCT
ejpam-6227	707	14	and	and	CCONJ
ejpam-6227	707	15	w.	w.	PROPN
ejpam-6227	707	16	k.	k.	PROPN
ejpam-6227	707	17	alqurashi	alqurashi	PROPN
ejpam-6227	707	18	.	.	PUNCT
ejpam-6227	708	1	the	the	DET
ejpam-6227	708	2	use	use	NOUN
ejpam-6227	708	3	of	of	ADP
ejpam-6227	708	4	artificial	artificial	ADJ
ejpam-6227	708	5	intelligence	intelligence	NOUN
ejpam-6227	708	6	in	in	ADP
ejpam-6227	708	7	data	datum	NOUN
ejpam-6227	708	8	analysis	analysis	NOUN
ejpam-6227	708	9	with	with	ADP
ejpam-6227	708	10	error	error	NOUN
ejpam-6227	708	11	recognitions	recognition	NOUN
ejpam-6227	708	12	in	in	ADP
ejpam-6227	708	13	liver	liver	NOUN
ejpam-6227	708	14	transplantation	transplantation	NOUN
ejpam-6227	708	15	in	in	ADP
ejpam-6227	708	16	hiv	hiv	PROPN
ejpam-6227	708	17	-	-	PUNCT
ejpam-6227	708	18	aids	aid	NOUN
ejpam-6227	708	19	patients	patient	NOUN
ejpam-6227	708	20	using	use	VERB
ejpam-6227	708	21	modified	modify	VERB
ejpam-6227	708	22	abc	abc	PROPN
ejpam-6227	708	23	fractional	fractional	ADJ
ejpam-6227	708	24	order	order	NOUN
ejpam-6227	708	25	operators	operator	NOUN
ejpam-6227	708	26	.	.	PUNCT
ejpam-6227	709	1	fractal	fractal	PROPN
ejpam-6227	709	2	&	&	CCONJ
ejpam-6227	709	3	fractional	fractional	ADJ
ejpam-6227	709	4	,	,	PUNCT
ejpam-6227	709	5	9(1	9(1	NUM
ejpam-6227	709	6	)	)	PUNCT
ejpam-6227	709	7	,	,	PUNCT
ejpam-6227	709	8	2025	2025	NUM
ejpam-6227	709	9	.	.	PUNCT
ejpam-6227	710	1	article	article	NOUN
ejpam-6227	710	2	in	in	ADP
ejpam-6227	710	3	press	press	NOUN
ejpam-6227	710	4	.	.	PUNCT
ejpam-6227	711	1	[	[	X
ejpam-6227	711	2	37	37	NUM
ejpam-6227	711	3	]	]	X
ejpam-6227	711	4	h.	h.	PROPN
ejpam-6227	711	5	khan	khan	PROPN
ejpam-6227	711	6	,	,	PUNCT
ejpam-6227	711	7	s.	s.	PROPN
ejpam-6227	711	8	ahmed	ahmed	PROPN
ejpam-6227	711	9	,	,	PUNCT
ejpam-6227	711	10	j.	j.	PROPN
ejpam-6227	711	11	alzabut	alzabut	PROPN
ejpam-6227	711	12	,	,	PUNCT
ejpam-6227	711	13	a.	a.	PROPN
ejpam-6227	711	14	t.	t.	PROPN
ejpam-6227	711	15	azar	azar	PROPN
ejpam-6227	711	16	,	,	PUNCT
ejpam-6227	711	17	and	and	CCONJ
ejpam-6227	711	18	j.	j.	PROPN
ejpam-6227	711	19	f.	f.	PROPN
ejpam-6227	711	20	gómez	gómez	PROPN
ejpam-6227	711	21	-	-	PUNCT
ejpam-6227	711	22	aguilar	aguilar	PROPN
ejpam-6227	711	23	.	.	PUNCT
ejpam-6227	712	1	nonlinear	nonlinear	ADJ
ejpam-6227	712	2	variable	variable	ADJ
ejpam-6227	712	3	order	order	NOUN
ejpam-6227	712	4	system	system	NOUN
ejpam-6227	712	5	of	of	ADP
ejpam-6227	712	6	multi	multi	ADJ
ejpam-6227	712	7	-	-	ADJ
ejpam-6227	712	8	point	point	ADJ
ejpam-6227	712	9	boundary	boundary	ADJ
ejpam-6227	712	10	conditions	condition	NOUN
ejpam-6227	712	11	with	with	ADP
ejpam-6227	712	12	adaptive	adaptive	ADJ
ejpam-6227	712	13	finite	finite	ADJ
ejpam-6227	712	14	-	-	PUNCT
ejpam-6227	712	15	time	time	NOUN
ejpam-6227	712	16	fractional	fractional	ADJ
ejpam-6227	712	17	-	-	PUNCT
ejpam-6227	712	18	order	order	NOUN
ejpam-6227	712	19	sliding	slide	VERB
ejpam-6227	712	20	mode	mode	NOUN
ejpam-6227	712	21	control	control	NOUN
ejpam-6227	712	22	.	.	PUNCT
ejpam-6227	713	1	international	international	ADJ
ejpam-6227	713	2	journal	journal	PROPN
ejpam-6227	713	3	of	of	ADP
ejpam-6227	713	4	dynamics	dynamic	NOUN
ejpam-6227	713	5	and	and	CCONJ
ejpam-6227	713	6	control	control	NOUN
ejpam-6227	713	7	,	,	PUNCT
ejpam-6227	713	8	12(7):2597–2613	12(7):2597–2613	NUM
ejpam-6227	713	9	,	,	PUNCT
ejpam-6227	713	10	2024	2024	NUM
ejpam-6227	713	11	.	.	PUNCT
ejpam-6227	714	1	[	[	X
ejpam-6227	714	2	38	38	NUM
ejpam-6227	714	3	]	]	PUNCT
ejpam-6227	714	4	h.	h.	PROPN
ejpam-6227	714	5	khan	khan	PROPN
ejpam-6227	714	6	,	,	PUNCT
ejpam-6227	714	7	j.	j.	PROPN
ejpam-6227	714	8	alzabut	alzabut	PROPN
ejpam-6227	714	9	,	,	PUNCT
ejpam-6227	714	10	j.	j.	PROPN
ejpam-6227	714	11	f.	f.	PROPN
ejpam-6227	714	12	gómez	gómez	PROPN
ejpam-6227	714	13	-	-	PUNCT
ejpam-6227	714	14	aguilar	aguilar	PROPN
ejpam-6227	714	15	,	,	PUNCT
ejpam-6227	714	16	and	and	CCONJ
ejpam-6227	714	17	a.	a.	NOUN
ejpam-6227	714	18	alkhazan	alkhazan	NOUN
ejpam-6227	714	19	.	.	PUNCT
ejpam-6227	715	1	essential	essential	ADJ
ejpam-6227	715	2	criteria	criterion	NOUN
ejpam-6227	715	3	for	for	ADP
ejpam-6227	715	4	existence	existence	NOUN
ejpam-6227	715	5	of	of	ADP
ejpam-6227	715	6	solution	solution	NOUN
ejpam-6227	715	7	of	of	ADP
ejpam-6227	715	8	a	a	DET
ejpam-6227	715	9	modified	modify	VERB
ejpam-6227	715	10	-	-	PUNCT
ejpam-6227	715	11	abc	abc	NOUN
ejpam-6227	715	12	fractional	fractional	ADJ
ejpam-6227	715	13	order	order	NOUN
ejpam-6227	715	14	smoking	smoking	NOUN
ejpam-6227	715	15	model	model	NOUN
ejpam-6227	715	16	.	.	PUNCT
ejpam-6227	716	1	ain	ain	PROPN
ejpam-6227	716	2	shams	sham	NOUN
ejpam-6227	716	3	engineering	engineering	NOUN
ejpam-6227	716	4	journal	journal	NOUN
ejpam-6227	716	5	,	,	PUNCT
ejpam-6227	716	6	15(5):102646	15(5):102646	NUM
ejpam-6227	716	7	,	,	PUNCT
ejpam-6227	716	8	2024	2024	NUM
ejpam-6227	716	9	.	.	PUNCT
ejpam-6227	717	1	[	[	X
ejpam-6227	717	2	39	39	NUM
ejpam-6227	717	3	]	]	PUNCT
ejpam-6227	717	4	p.	p.	PROPN
ejpam-6227	717	5	liu	liu	PROPN
ejpam-6227	717	6	,	,	PUNCT
ejpam-6227	717	7	r.	r.	PROPN
ejpam-6227	717	8	dang	dang	PROPN
ejpam-6227	717	9	,	,	PUNCT
ejpam-6227	717	10	p.	p.	PROPN
ejpam-6227	717	11	wang	wang	PROPN
ejpam-6227	717	12	,	,	PUNCT
ejpam-6227	717	13	and	and	CCONJ
ejpam-6227	717	14	x.	x.	PROPN
ejpam-6227	717	15	wu	wu	PROPN
ejpam-6227	717	16	.	.	PUNCT
ejpam-6227	717	17	unit	unit	NOUN
ejpam-6227	717	18	consensus	consensus	NOUN
ejpam-6227	717	19	cost	cost	NOUN
ejpam-6227	717	20	-	-	PUNCT
ejpam-6227	717	21	based	base	VERB
ejpam-6227	717	22	approach	approach	NOUN
ejpam-6227	717	23	for	for	ADP
ejpam-6227	717	24	group	group	NOUN
ejpam-6227	717	25	decision	decision	NOUN
ejpam-6227	717	26	-	-	PUNCT
ejpam-6227	717	27	making	making	NOUN
ejpam-6227	717	28	with	with	ADP
ejpam-6227	717	29	incomplete	incomplete	ADJ
ejpam-6227	717	30	probabilistic	probabilistic	ADJ
ejpam-6227	717	31	linguistic	linguistic	ADJ
ejpam-6227	717	32	preference	preference	NOUN
ejpam-6227	717	33	relations	relation	NOUN
ejpam-6227	717	34	.	.	PUNCT
ejpam-6227	718	1	information	information	NOUN
ejpam-6227	718	2	sciences	sciences	PROPN
ejpam-6227	718	3	,	,	PUNCT
ejpam-6227	718	4	624:849–880	624:849–880	NUM
ejpam-6227	718	5	,	,	PUNCT
ejpam-6227	718	6	2023	2023	NUM
ejpam-6227	718	7	.	.	PUNCT
ejpam-6227	719	1	[	[	X
ejpam-6227	719	2	40	40	NUM
ejpam-6227	719	3	]	]	PUNCT
ejpam-6227	719	4	k.	k.	PROPN
ejpam-6227	719	5	lian	lian	PROPN
ejpam-6227	719	6	,	,	PUNCT
ejpam-6227	719	7	t.	t.	PROPN
ejpam-6227	719	8	wang	wang	PROPN
ejpam-6227	719	9	,	,	PUNCT
ejpam-6227	719	10	b.	b.	PROPN
ejpam-6227	719	11	wang	wang	PROPN
ejpam-6227	719	12	,	,	PUNCT
ejpam-6227	719	13	m.	m.	PROPN
ejpam-6227	719	14	wang	wang	PROPN
ejpam-6227	719	15	,	,	PUNCT
ejpam-6227	719	16	w.	w.	PROPN
ejpam-6227	719	17	huang	huang	PROPN
ejpam-6227	719	18	,	,	PUNCT
ejpam-6227	719	19	and	and	CCONJ
ejpam-6227	719	20	j.	j.	PROPN
ejpam-6227	719	21	yang	yang	PROPN
ejpam-6227	719	22	.	.	PUNCT
ejpam-6227	720	1	the	the	DET
ejpam-6227	720	2	research	research	NOUN
ejpam-6227	720	3	on	on	ADP
ejpam-6227	720	4	relative	relative	ADJ
ejpam-6227	720	5	knowledge	knowledge	NOUN
ejpam-6227	720	6	distances	distance	NOUN
ejpam-6227	720	7	and	and	CCONJ
ejpam-6227	720	8	their	their	PRON
ejpam-6227	720	9	cognitive	cognitive	ADJ
ejpam-6227	720	10	features	feature	NOUN
ejpam-6227	720	11	.	.	PUNCT
ejpam-6227	721	1	international	international	ADJ
ejpam-6227	721	2	journal	journal	PROPN
ejpam-6227	721	3	of	of	ADP
ejpam-6227	721	4	cognitive	cognitive	ADJ
ejpam-6227	721	5	computing	computing	NOUN
ejpam-6227	721	6	in	in	ADP
ejpam-6227	721	7	engineering	engineering	NOUN
ejpam-6227	721	8	,	,	PUNCT
ejpam-6227	721	9	4:135–148	4:135–148	NOUN
ejpam-6227	721	10	,	,	PUNCT
ejpam-6227	721	11	2023	2023	NUM
ejpam-6227	721	12	.	.	PUNCT
ejpam-6227	722	1	[	[	X
ejpam-6227	722	2	41	41	NUM
ejpam-6227	722	3	]	]	PUNCT
ejpam-6227	722	4	p.	p.	PROPN
ejpam-6227	722	5	liu	liu	PROPN
ejpam-6227	723	1	and	and	CCONJ
ejpam-6227	724	1	f.	f.	PROPN
ejpam-6227	724	2	teng	teng	PROPN
ejpam-6227	724	3	.	.	PUNCT
ejpam-6227	725	1	probabilistic	probabilistic	ADJ
ejpam-6227	725	2	linguistic	linguistic	ADJ
ejpam-6227	725	3	todim	todim	NOUN
ejpam-6227	725	4	method	method	NOUN
ejpam-6227	725	5	for	for	ADP
ejpam-6227	725	6	selecting	select	VERB
ejpam-6227	725	7	products	product	NOUN
ejpam-6227	725	8	through	through	ADP
ejpam-6227	725	9	online	online	ADJ
ejpam-6227	725	10	product	product	NOUN
ejpam-6227	725	11	reviews	review	NOUN
ejpam-6227	725	12	.	.	PUNCT
ejpam-6227	726	1	information	information	NOUN
ejpam-6227	726	2	sciences	sciences	PROPN
ejpam-6227	726	3	,	,	PUNCT
ejpam-6227	726	4	485:441–455	485:441–455	NUM
ejpam-6227	726	5	,	,	PUNCT
ejpam-6227	726	6	2019	2019	NUM
ejpam-6227	726	7	.	.	PUNCT
ejpam-6227	727	1	[	[	X
ejpam-6227	727	2	42	42	NUM
ejpam-6227	727	3	]	]	PUNCT
ejpam-6227	727	4	f.	f.	PROPN
ejpam-6227	727	5	ozdemirci	ozdemirci	PROPN
ejpam-6227	727	6	,	,	PUNCT
ejpam-6227	727	7	s.	s.	PROPN
ejpam-6227	727	8	yüksel	yüksel	PROPN
ejpam-6227	727	9	,	,	PUNCT
ejpam-6227	727	10	h.	h.	PROPN
ejpam-6227	727	11	dinçer	dinçer	PROPN
ejpam-6227	727	12	,	,	PUNCT
ejpam-6227	727	13	and	and	CCONJ
ejpam-6227	727	14	s.	s.	PROPN
ejpam-6227	727	15	eti	eti	PROPN
ejpam-6227	727	16	.	.	PUNCT
ejpam-6227	728	1	an	an	DET
ejpam-6227	728	2	assessment	assessment	NOUN
ejpam-6227	728	3	of	of	ADP
ejpam-6227	728	4	alternative	alternative	ADJ
ejpam-6227	728	5	social	social	ADJ
ejpam-6227	728	6	banking	banking	NOUN
ejpam-6227	728	7	systems	system	NOUN
ejpam-6227	728	8	using	use	VERB
ejpam-6227	728	9	t	t	NOUN
ejpam-6227	728	10	-	-	PUNCT
ejpam-6227	728	11	spherical	spherical	ADJ
ejpam-6227	728	12	fuzzy	fuzzy	ADJ
ejpam-6227	728	13	top	top	ADJ
ejpam-6227	728	14	-	-	PUNCT
ejpam-6227	728	15	dematel	dematel	NOUN
ejpam-6227	728	16	approach	approach	NOUN
ejpam-6227	728	17	.	.	PUNCT
ejpam-6227	729	1	decision	decision	NOUN
ejpam-6227	729	2	analytics	analytic	NOUN
ejpam-6227	729	3	journal	journal	NOUN
ejpam-6227	729	4	,	,	PUNCT
ejpam-6227	729	5	6:100184	6:100184	NUM
ejpam-6227	729	6	,	,	PUNCT
ejpam-6227	729	7	2023	2023	NUM
ejpam-6227	729	8	.	.	PUNCT
ejpam-6227	730	1	[	[	X
ejpam-6227	730	2	43	43	NUM
ejpam-6227	730	3	]	]	PUNCT
ejpam-6227	730	4	m.	m.	NOUN
ejpam-6227	730	5	palanikumar	palanikumar	PROPN
ejpam-6227	730	6	,	,	PUNCT
ejpam-6227	730	7	k.	k.	PROPN
ejpam-6227	730	8	arulmozhi	arulmozhi	PROPN
ejpam-6227	730	9	,	,	PUNCT
ejpam-6227	730	10	and	and	CCONJ
ejpam-6227	730	11	c.	c.	PROPN
ejpam-6227	730	12	jana	jana	PROPN
ejpam-6227	730	13	.	.	PUNCT
ejpam-6227	731	1	multiple	multiple	ADJ
ejpam-6227	731	2	attribute	attribute	NOUN
ejpam-6227	731	3	decision	decision	NOUN
ejpam-6227	731	4	-	-	PUNCT
ejpam-6227	731	5	making	make	VERB
ejpam-6227	731	6	approach	approach	NOUN
ejpam-6227	731	7	for	for	ADP
ejpam-6227	731	8	pythagorean	pythagorean	PROPN
ejpam-6227	731	9	neutrosophic	neutrosophic	ADJ
ejpam-6227	731	10	normal	normal	ADJ
ejpam-6227	731	11	interval	interval	NOUN
ejpam-6227	731	12	-	-	PUNCT
ejpam-6227	731	13	valued	value	VERB
ejpam-6227	731	14	fuzzy	fuzzy	ADJ
ejpam-6227	731	15	aggregation	aggregation	NOUN
ejpam-6227	731	16	operators	operator	NOUN
ejpam-6227	731	17	.	.	PUNCT
ejpam-6227	732	1	computational	computational	ADJ
ejpam-6227	732	2	and	and	CCONJ
ejpam-6227	732	3	applied	applied	ADJ
ejpam-6227	732	4	mathematics	mathematic	NOUN
ejpam-6227	732	5	,	,	PUNCT
ejpam-6227	732	6	41(3):90	41(3):90	NUM
ejpam-6227	732	7	,	,	PUNCT
ejpam-6227	732	8	2022	2022	NUM
ejpam-6227	732	9	.	.	PUNCT
ejpam-6227	733	1	[	[	X
ejpam-6227	733	2	44	44	NUM
ejpam-6227	733	3	]	]	PUNCT
ejpam-6227	733	4	s.	s.	PROPN
ejpam-6227	733	5	petchimuthu	petchimuthu	PROPN
ejpam-6227	733	6	,	,	PUNCT
ejpam-6227	733	7	c.	c.	PROPN
ejpam-6227	733	8	mahendiran	mahendiran	PROPN
ejpam-6227	733	9	,	,	PUNCT
ejpam-6227	733	10	and	and	CCONJ
ejpam-6227	733	11	t.	t.	NOUN
ejpam-6227	733	12	premala	premala	NOUN
ejpam-6227	733	13	.	.	PUNCT
ejpam-6227	734	1	power	power	NOUN
ejpam-6227	734	2	and	and	CCONJ
ejpam-6227	734	3	energy	energy	NOUN
ejpam-6227	734	4	transformation	transformation	NOUN
ejpam-6227	734	5	:	:	PUNCT
ejpam-6227	734	6	multi	multi	ADJ
ejpam-6227	734	7	-	-	NOUN
ejpam-6227	734	8	criteria	criterion	NOUN
ejpam-6227	734	9	decision	decision	NOUN
ejpam-6227	734	10	-	-	PUNCT
ejpam-6227	734	11	making	making	NOUN
ejpam-6227	734	12	utilizing	utilize	VERB
ejpam-6227	734	13	complex	complex	ADJ
ejpam-6227	734	14	q	q	ADJ
ejpam-6227	734	15	-	-	PUNCT
ejpam-6227	734	16	rung	rung	ADJ
ejpam-6227	734	17	picture	picture	NOUN
ejpam-6227	734	18	fuzzy	fuzzy	ADJ
ejpam-6227	734	19	generalized	generalize	VERB
ejpam-6227	734	20	power	power	NOUN
ejpam-6227	734	21	prioritized	prioritize	VERB
ejpam-6227	734	22	yager	yager	NOUN
ejpam-6227	734	23	operators	operator	NOUN
ejpam-6227	734	24	.	.	PUNCT
ejpam-6227	735	1	spectrum	spectrum	NOUN
ejpam-6227	735	2	of	of	ADP
ejpam-6227	735	3	operational	operational	ADJ
ejpam-6227	735	4	research	research	NOUN
ejpam-6227	735	5	,	,	PUNCT
ejpam-6227	735	6	2(1):219–258	2(1):219–258	PROPN
ejpam-6227	735	7	,	,	PUNCT
ejpam-6227	735	8	2025	2025	NUM
ejpam-6227	735	9	.	.	PUNCT
ejpam-6227	736	1	[	[	X
ejpam-6227	736	2	45	45	NUM
ejpam-6227	736	3	]	]	PUNCT
ejpam-6227	736	4	m.	m.	NOUN
ejpam-6227	736	5	asif	asif	PROPN
ejpam-6227	736	6	,	,	PUNCT
ejpam-6227	736	7	u.	u.	PROPN
ejpam-6227	736	8	ishtiaq	ishtiaq	PROPN
ejpam-6227	736	9	,	,	PUNCT
ejpam-6227	736	10	and	and	CCONJ
ejpam-6227	736	11	i.	i.	PROPN
ejpam-6227	736	12	k.	k.	PROPN
ejpam-6227	736	13	argyros	argyros	PROPN
ejpam-6227	736	14	.	.	PUNCT
ejpam-6227	737	1	hamacher	hamacher	PROPN
ejpam-6227	737	2	aggregation	aggregation	NOUN
ejpam-6227	737	3	operators	operator	NOUN
ejpam-6227	737	4	for	for	ADP
ejpam-6227	737	5	pythagorean	pythagorean	PROPN
ejpam-6227	737	6	fuzzy	fuzzy	ADJ
ejpam-6227	737	7	set	set	NOUN
ejpam-6227	737	8	and	and	CCONJ
ejpam-6227	737	9	its	its	PRON
ejpam-6227	737	10	application	application	NOUN
ejpam-6227	737	11	in	in	ADP
ejpam-6227	737	12	multi	multi	ADJ
ejpam-6227	737	13	-	-	ADJ
ejpam-6227	737	14	attribute	attribute	NOUN
ejpam-6227	737	15	decision	decision	NOUN
ejpam-6227	737	16	-	-	PUNCT
ejpam-6227	737	17	making	make	VERB
ejpam-6227	737	18	problem	problem	NOUN
ejpam-6227	737	19	.	.	PUNCT
ejpam-6227	738	1	spectrum	spectrum	NOUN
ejpam-6227	738	2	of	of	ADP
ejpam-6227	738	3	operational	operational	ADJ
ejpam-6227	738	4	research	research	NOUN
ejpam-6227	738	5	,	,	PUNCT
ejpam-6227	738	6	2(1):27–40	2(1):27–40	NUM
ejpam-6227	738	7	,	,	PUNCT
ejpam-6227	738	8	2025	2025	NUM
ejpam-6227	738	9	.	.	PUNCT
ejpam-6227	739	1	[	[	X
ejpam-6227	739	2	46	46	NUM
ejpam-6227	739	3	]	]	X
ejpam-6227	739	4	s.	s.	PROPN
ejpam-6227	739	5	ashraf	ashraf	PROPN
ejpam-6227	739	6	,	,	PUNCT
ejpam-6227	739	7	m.	m.	NOUN
ejpam-6227	739	8	akram	akram	PROPN
ejpam-6227	739	9	,	,	PUNCT
ejpam-6227	739	10	s.	s.	PROPN
ejpam-6227	739	11	jana	jana	PROPN
ejpam-6227	739	12	,	,	PUNCT
ejpam-6227	739	13	j.	j.	PROPN
ejpam-6227	739	14	kim	kim	PROPN
ejpam-6227	739	15	,	,	PUNCT
ejpam-6227	739	16	i.	i.	PROPN
ejpam-6227	739	17	m.	m.	PROPN
ejpam-6227	739	18	hezam	hezam	PROPN
ejpam-6227	739	19	,	,	PUNCT
ejpam-6227	739	20	and	and	CCONJ
ejpam-6227	739	21	c.	c.	PROPN
ejpam-6227	739	22	jana	jana	PROPN
ejpam-6227	739	23	.	.	PUNCT
ejpam-6227	740	1	constructing	construct	VERB
ejpam-6227	740	2	a	a	DET
ejpam-6227	740	3	knee	knee	NOUN
ejpam-6227	740	4	osteoarthritis	osteoarthritis	NOUN
ejpam-6227	740	5	transplant	transplant	NOUN
ejpam-6227	740	6	via	via	ADP
ejpam-6227	740	7	the	the	DET
ejpam-6227	740	8	neutrality	neutrality	NOUN
ejpam-6227	740	9	aggregation	aggregation	NOUN
ejpam-6227	740	10	operators	operator	NOUN
ejpam-6227	740	11	under	under	ADP
ejpam-6227	740	12	spherical	spherical	ADJ
ejpam-6227	740	13	fuzzy	fuzzy	ADJ
ejpam-6227	740	14	znumbers	znumber	NOUN
ejpam-6227	740	15	framework	framework	NOUN
ejpam-6227	740	16	.	.	PUNCT
ejpam-6227	741	1	heliyon	heliyon	NOUN
ejpam-6227	741	2	,	,	PUNCT
ejpam-6227	741	3	11(1	11(1	NUM
ejpam-6227	741	4	)	)	PUNCT
ejpam-6227	741	5	,	,	PUNCT
ejpam-6227	741	6	2025	2025	NUM
ejpam-6227	741	7	.	.	PUNCT
ejpam-6227	742	1	[	[	X
ejpam-6227	742	2	47	47	NUM
ejpam-6227	742	3	]	]	PUNCT
ejpam-6227	742	4	x.	x.	PROPN
ejpam-6227	742	5	peng	peng	PROPN
ejpam-6227	742	6	and	and	CCONJ
ejpam-6227	742	7	y.	y.	PROPN
ejpam-6227	742	8	yang	yang	PROPN
ejpam-6227	742	9	.	.	PUNCT
ejpam-6227	743	1	fundamental	fundamental	ADJ
ejpam-6227	743	2	properties	property	NOUN
ejpam-6227	743	3	of	of	ADP
ejpam-6227	743	4	interval	interval	NOUN
ejpam-6227	743	5	-	-	PUNCT
ejpam-6227	743	6	valued	value	VERB
ejpam-6227	743	7	pythagorean	pythagorean	PROPN
ejpam-6227	743	8	fuzzy	fuzzy	ADJ
ejpam-6227	743	9	aggregation	aggregation	NOUN
ejpam-6227	743	10	operators	operator	NOUN
ejpam-6227	743	11	.	.	PUNCT
ejpam-6227	744	1	international	international	ADJ
ejpam-6227	744	2	journal	journal	NOUN
ejpam-6227	744	3	of	of	ADP
ejpam-6227	744	4	intelligent	intelligent	ADJ
ejpam-6227	744	5	systems	system	NOUN
ejpam-6227	744	6	,	,	PUNCT
ejpam-6227	744	7	31(5):444–487	31(5):444–487	PROPN
ejpam-6227	744	8	,	,	PUNCT
ejpam-6227	744	9	2016	2016	NUM
ejpam-6227	744	10	.	.	PUNCT
ejpam-6227	745	1	[	[	X
ejpam-6227	745	2	48	48	NUM
ejpam-6227	745	3	]	]	PUNCT
ejpam-6227	745	4	m.	m.	NOUN
ejpam-6227	745	5	akram	akram	PROPN
ejpam-6227	745	6	,	,	PUNCT
ejpam-6227	745	7	x.	x.	PROPN
ejpam-6227	745	8	peng	peng	PROPN
ejpam-6227	745	9	,	,	PUNCT
ejpam-6227	745	10	a.	a.	PROPN
ejpam-6227	745	11	n.	n.	PROPN
ejpam-6227	745	12	al	al	PROPN
ejpam-6227	745	13	-	-	PUNCT
ejpam-6227	745	14	kenani	kenani	PROPN
ejpam-6227	745	15	,	,	PUNCT
ejpam-6227	745	16	and	and	CCONJ
ejpam-6227	745	17	a.	a.	PROPN
ejpam-6227	745	18	sattar	sattar	PROPN
ejpam-6227	745	19	.	.	PUNCT
ejpam-6227	746	1	prioritized	prioritize	VERB
ejpam-6227	746	2	weighted	weight	VERB
ejpam-6227	746	3	aggregation	aggregation	NOUN
ejpam-6227	746	4	operators	operator	NOUN
ejpam-6227	746	5	under	under	ADP
ejpam-6227	746	6	complex	complex	ADJ
ejpam-6227	746	7	pythagorean	pythagorean	ADJ
ejpam-6227	746	8	fuzzy	fuzzy	ADJ
ejpam-6227	746	9	information	information	NOUN
ejpam-6227	746	10	.	.	PUNCT
ejpam-6227	747	1	journal	journal	NOUN
ejpam-6227	747	2	of	of	ADP
ejpam-6227	747	3	intelligent	intelligent	ADJ
ejpam-6227	747	4	&	&	CCONJ
ejpam-6227	747	5	fuzzy	fuzzy	ADJ
ejpam-6227	747	6	systems	system	NOUN
ejpam-6227	747	7	,	,	PUNCT
ejpam-6227	747	8	39(3):4763–4783	39(3):4763–4783	NUM
ejpam-6227	747	9	,	,	PUNCT
ejpam-6227	747	10	2020	2020	NUM
ejpam-6227	747	11	.	.	PUNCT
ejpam-6227	748	1	[	[	X
ejpam-6227	748	2	49	49	NUM
ejpam-6227	748	3	]	]	PUNCT
ejpam-6227	748	4	j.	j.	PROPN
ejpam-6227	748	5	ali	ali	PROPN
ejpam-6227	748	6	.	.	PUNCT
ejpam-6227	749	1	multi	multi	ADJ
ejpam-6227	749	2	-	-	ADJ
ejpam-6227	749	3	criteria	criterion	NOUN
ejpam-6227	749	4	decision	decision	NOUN
ejpam-6227	749	5	-	-	PUNCT
ejpam-6227	749	6	making	make	VERB
ejpam-6227	749	7	method	method	NOUN
ejpam-6227	749	8	based	base	VERB
ejpam-6227	749	9	on	on	ADP
ejpam-6227	749	10	an	an	DET
ejpam-6227	749	11	integrated	integrated	ADJ
ejpam-6227	749	12	model	model	NOUN
ejpam-6227	749	13	using	use	VERB
ejpam-6227	749	14	t	t	NOUN
ejpam-6227	749	15	-	-	PUNCT
ejpam-6227	749	16	spherical	spherical	ADJ
ejpam-6227	749	17	fuzzy	fuzzy	ADJ
ejpam-6227	749	18	aczel	aczel	NOUN
ejpam-6227	749	19	-	-	PUNCT
ejpam-6227	749	20	alsina	alsina	NOUN
ejpam-6227	749	21	prioritized	prioritize	VERB
ejpam-6227	749	22	aggregation	aggregation	NOUN
ejpam-6227	749	23	operators	operator	NOUN
ejpam-6227	749	24	.	.	PUNCT
ejpam-6227	750	1	computational	computational	ADJ
ejpam-6227	750	2	and	and	CCONJ
ejpam-6227	750	3	applied	applied	ADJ
ejpam-6227	750	4	mathematics	mathematic	NOUN
ejpam-6227	750	5	,	,	PUNCT
ejpam-6227	750	6	44(3):181	44(3):181	PROPN
ejpam-6227	750	7	,	,	PUNCT
ejpam-6227	750	8	2025	2025	NUM
ejpam-6227	750	9	.	.	PUNCT
ejpam-6227	751	1	[	[	X
ejpam-6227	751	2	50	50	NUM
ejpam-6227	751	3	]	]	PUNCT
ejpam-6227	751	4	a.	a.	NOUN
ejpam-6227	751	5	fahmi	fahmi	PROPN
ejpam-6227	751	6	,	,	PUNCT
ejpam-6227	751	7	a.	a.	PROPN
ejpam-6227	751	8	khan	khan	PROPN
ejpam-6227	751	9	,	,	PUNCT
ejpam-6227	751	10	t.	t.	NOUN
ejpam-6227	751	11	abdeljawad	abdeljawad	NOUN
ejpam-6227	751	12	,	,	PUNCT
ejpam-6227	751	13	and	and	CCONJ
ejpam-6227	751	14	d.	d.	PROPN
ejpam-6227	751	15	a.	a.	PROPN
ejpam-6227	751	16	d.	d.	PROPN
ejpam-6227	751	17	almutairi	almutairi	PROPN
ejpam-6227	751	18	.	.	PUNCT
ejpam-6227	752	1	bipolar	bipolar	ADJ
ejpam-6227	752	2	neutrosophic	neutrosophic	ADJ
ejpam-6227	752	3	aczelalsina	aczelalsina	NOUN
ejpam-6227	752	4	aggregation	aggregation	NOUN
ejpam-6227	752	5	for	for	ADP
ejpam-6227	752	6	effective	effective	ADJ
ejpam-6227	752	7	group	group	NOUN
ejpam-6227	752	8	decision	decision	NOUN
ejpam-6227	752	9	-	-	PUNCT
ejpam-6227	752	10	making	making	NOUN
ejpam-6227	752	11	.	.	PUNCT
ejpam-6227	753	1	european	european	ADJ
ejpam-6227	753	2	journal	journal	PROPN
ejpam-6227	753	3	of	of	ADP
ejpam-6227	753	4	pure	pure	ADJ
ejpam-6227	753	5	and	and	CCONJ
ejpam-6227	753	6	applied	applied	ADJ
ejpam-6227	753	7	mathematics	mathematic	NOUN
ejpam-6227	753	8	,	,	PUNCT
ejpam-6227	753	9	18(2):5824–5824	18(2):5824–5824	NUM
ejpam-6227	753	10	,	,	PUNCT
ejpam-6227	753	11	2025	2025	NUM
ejpam-6227	753	12	.	.	PUNCT
ejpam-6227	754	1	[	[	X
ejpam-6227	754	2	51	51	NUM
ejpam-6227	754	3	]	]	PUNCT
ejpam-6227	754	4	a.	a.	NOUN
ejpam-6227	754	5	fahmi	fahmi	PROPN
ejpam-6227	754	6	,	,	PUNCT
ejpam-6227	754	7	a.	a.	PROPN
ejpam-6227	754	8	khan	khan	PROPN
ejpam-6227	754	9	,	,	PUNCT
ejpam-6227	754	10	t.	t.	NOUN
ejpam-6227	754	11	abdeljawad	abdeljawad	NOUN
ejpam-6227	754	12	,	,	PUNCT
ejpam-6227	754	13	and	and	CCONJ
ejpam-6227	754	14	d.	d.	PROPN
ejpam-6227	754	15	k.	k.	PROPN
ejpam-6227	754	16	almutairid	almutairid	PROPN
ejpam-6227	754	17	.	.	PUNCT
ejpam-6227	755	1	einstein	einstein	PROPN
ejpam-6227	755	2	aggregation	aggregation	NOUN
ejpam-6227	755	3	operators	operator	NOUN
ejpam-6227	755	4	with	with	ADP
ejpam-6227	755	5	cubic	cubic	ADJ
ejpam-6227	755	6	fermatean	fermatean	ADJ
ejpam-6227	755	7	fuzzy	fuzzy	ADJ
ejpam-6227	755	8	sets	set	NOUN
ejpam-6227	755	9	.	.	PUNCT
ejpam-6227	756	1	european	european	ADJ
ejpam-6227	756	2	journal	journal	PROPN
ejpam-6227	756	3	of	of	ADP
ejpam-6227	756	4	pure	pure	ADJ
ejpam-6227	756	5	and	and	CCONJ
ejpam-6227	756	6	applied	applied	ADJ
ejpam-6227	756	7	mathematics	mathematic	NOUN
ejpam-6227	756	8	,	,	PUNCT
ejpam-6227	756	9	18(2):5891–5891	18(2):5891–5891	NUM
ejpam-6227	756	10	,	,	PUNCT
ejpam-6227	756	11	2025	2025	NUM
ejpam-6227	756	12	.	.	PUNCT
ejpam-6227	757	1	a.	a.	PROPN
ejpam-6227	757	2	fahmi	fahmi	PROPN
ejpam-6227	757	3	et	et	PROPN
ejpam-6227	757	4	al	al	PROPN
ejpam-6227	757	5	.	.	PUNCT
ejpam-6227	757	6	/	/	SYM
ejpam-6227	757	7	eur	eur	PROPN
ejpam-6227	757	8	.	.	PUNCT
ejpam-6227	758	1	j.	j.	PROPN
ejpam-6227	758	2	pure	pure	PROPN
ejpam-6227	758	3	appl	appl	PROPN
ejpam-6227	758	4	.	.	PROPN
ejpam-6227	758	5	math	math	PROPN
ejpam-6227	758	6	,	,	PUNCT
ejpam-6227	758	7	18	18	NUM
ejpam-6227	758	8	(	(	PUNCT
ejpam-6227	758	9	3	3	NUM
ejpam-6227	758	10	)	)	PUNCT
ejpam-6227	758	11	(	(	PUNCT
ejpam-6227	758	12	2025	2025	NUM
ejpam-6227	758	13	)	)	PUNCT
ejpam-6227	758	14	,	,	PUNCT
ejpam-6227	758	15	6227	6227	NUM
ejpam-6227	758	16	37	37	NUM
ejpam-6227	758	17	of	of	ADP
ejpam-6227	758	18	37	37	NUM
ejpam-6227	758	19	[	[	X
ejpam-6227	758	20	52	52	NUM
ejpam-6227	758	21	]	]	PUNCT
ejpam-6227	758	22	a.	a.	NOUN
ejpam-6227	758	23	fahmi	fahmi	PROPN
ejpam-6227	758	24	,	,	PUNCT
ejpam-6227	758	25	m.	m.	NOUN
ejpam-6227	758	26	a.	a.	PROPN
ejpam-6227	758	27	s.	s.	PROPN
ejpam-6227	758	28	hassan	hassan	PROPN
ejpam-6227	758	29	,	,	PUNCT
ejpam-6227	758	30	a.	a.	PROPN
ejpam-6227	758	31	khan	khan	PROPN
ejpam-6227	758	32	,	,	PUNCT
ejpam-6227	758	33	t.	t.	NOUN
ejpam-6227	758	34	abdeljawad	abdeljawad	NOUN
ejpam-6227	758	35	,	,	PUNCT
ejpam-6227	758	36	and	and	CCONJ
ejpam-6227	758	37	d.	d.	PROPN
ejpam-6227	758	38	k.	k.	PROPN
ejpam-6227	758	39	almutairi	almutairi	PROPN
ejpam-6227	758	40	.	.	PUNCT
ejpam-6227	759	1	a	a	DET
ejpam-6227	759	2	bipolar	bipolar	ADJ
ejpam-6227	759	3	fermatean	fermatean	NOUN
ejpam-6227	759	4	fuzzy	fuzzy	ADJ
ejpam-6227	759	5	hamacher	hamacher	NOUN
ejpam-6227	759	6	approach	approach	NOUN
ejpam-6227	759	7	to	to	ADP
ejpam-6227	759	8	group	group	NOUN
ejpam-6227	759	9	decision	decision	NOUN
ejpam-6227	759	10	-	-	PUNCT
ejpam-6227	759	11	making	making	NOUN
ejpam-6227	759	12	for	for	ADP
ejpam-6227	759	13	electric	electric	ADJ
ejpam-6227	759	14	waste	waste	NOUN
ejpam-6227	759	15	.	.	PUNCT
ejpam-6227	760	1	european	european	ADJ
ejpam-6227	760	2	journal	journal	PROPN
ejpam-6227	760	3	of	of	ADP
ejpam-6227	760	4	pure	pure	ADJ
ejpam-6227	760	5	and	and	CCONJ
ejpam-6227	760	6	applied	applied	ADJ
ejpam-6227	760	7	mathematics	mathematic	NOUN
ejpam-6227	760	8	,	,	PUNCT
ejpam-6227	760	9	18(1):5691–5691	18(1):5691–5691	NUM
ejpam-6227	760	10	,	,	PUNCT
ejpam-6227	760	11	2025	2025	NUM
ejpam-6227	760	12	.	.	PUNCT
ejpam-6227	761	1	[	[	X
ejpam-6227	761	2	53	53	NUM
ejpam-6227	761	3	]	]	PUNCT
ejpam-6227	761	4	a.	a.	NOUN
ejpam-6227	761	5	fahmi	fahmi	PROPN
ejpam-6227	761	6	,	,	PUNCT
ejpam-6227	761	7	a.	a.	PROPN
ejpam-6227	761	8	khan	khan	PROPN
ejpam-6227	761	9	,	,	PUNCT
ejpam-6227	761	10	z.	z.	PROPN
ejpam-6227	761	11	maqbool	maqbool	PROPN
ejpam-6227	761	12	,	,	PUNCT
ejpam-6227	761	13	and	and	CCONJ
ejpam-6227	761	14	t.	t.	PROPN
ejpam-6227	761	15	abdeljawad	abdeljawad	NOUN
ejpam-6227	761	16	.	.	PUNCT
ejpam-6227	762	1	circular	circular	ADJ
ejpam-6227	762	2	intuitionistic	intuitionistic	ADJ
ejpam-6227	762	3	fuzzy	fuzzy	ADJ
ejpam-6227	762	4	hamacher	hamacher	NOUN
ejpam-6227	762	5	aggregation	aggregation	NOUN
ejpam-6227	762	6	operators	operator	NOUN
ejpam-6227	762	7	for	for	ADP
ejpam-6227	762	8	multi	multi	ADJ
ejpam-6227	762	9	-	-	ADJ
ejpam-6227	762	10	attribute	attribute	NOUN
ejpam-6227	762	11	decision	decision	NOUN
ejpam-6227	762	12	-	-	PUNCT
ejpam-6227	762	13	making	making	NOUN
ejpam-6227	762	14	.	.	PUNCT
ejpam-6227	763	1	scientific	scientific	ADJ
ejpam-6227	763	2	reports	report	NOUN
ejpam-6227	763	3	,	,	PUNCT
ejpam-6227	763	4	15(1):5618	15(1):5618	NUM
ejpam-6227	763	5	,	,	PUNCT
ejpam-6227	763	6	2025	2025	NUM
ejpam-6227	763	7	.	.	PUNCT
ejpam-6227	764	1	[	[	X
ejpam-6227	764	2	54	54	NUM
ejpam-6227	764	3	]	]	PUNCT
ejpam-6227	764	4	a.	a.	NOUN
ejpam-6227	764	5	fahmi	fahmi	PROPN
ejpam-6227	764	6	,	,	PUNCT
ejpam-6227	764	7	a.	a.	PROPN
ejpam-6227	764	8	khan	khan	PROPN
ejpam-6227	764	9	,	,	PUNCT
ejpam-6227	764	10	and	and	CCONJ
ejpam-6227	764	11	t.	t.	PROPN
ejpam-6227	764	12	abdeljawad	abdeljawad	NOUN
ejpam-6227	764	13	.	.	PUNCT
ejpam-6227	765	1	group	group	NOUN
ejpam-6227	765	2	decision	decision	NOUN
ejpam-6227	765	3	making	making	NOUN
ejpam-6227	765	4	based	base	VERB
ejpam-6227	765	5	on	on	ADP
ejpam-6227	765	6	cubic	cubic	ADJ
ejpam-6227	765	7	fermatean	fermatean	PROPN
ejpam-6227	765	8	einstein	einstein	PROPN
ejpam-6227	765	9	fuzzy	fuzzy	PROPN
ejpam-6227	765	10	weighted	weight	VERB
ejpam-6227	765	11	geometric	geometric	ADJ
ejpam-6227	765	12	operator	operator	NOUN
ejpam-6227	765	13	.	.	PUNCT
ejpam-6227	766	1	ain	ain	PROPN
ejpam-6227	766	2	shams	sham	NOUN
ejpam-6227	766	3	engineering	engineering	NOUN
ejpam-6227	766	4	journal	journal	NOUN
ejpam-6227	766	5	,	,	PUNCT
ejpam-6227	766	6	15(4):102737	15(4):102737	NUM
ejpam-6227	766	7	,	,	PUNCT
ejpam-6227	766	8	2024	2024	NUM
ejpam-6227	766	9	.	.	PUNCT
ejpam-6227	767	1	[	[	X
ejpam-6227	767	2	55	55	NUM
ejpam-6227	767	3	]	]	PUNCT
ejpam-6227	767	4	a.	a.	NOUN
ejpam-6227	767	5	fahmi	fahmi	PROPN
ejpam-6227	767	6	,	,	PUNCT
ejpam-6227	767	7	m.	m.	NOUN
ejpam-6227	767	8	aslam	aslam	PROPN
ejpam-6227	767	9	,	,	PUNCT
ejpam-6227	767	10	and	and	CCONJ
ejpam-6227	767	11	r.	r.	PROPN
ejpam-6227	767	12	ahmed	ahmed	PROPN
ejpam-6227	767	13	.	.	PUNCT
ejpam-6227	768	1	decision	decision	NOUN
ejpam-6227	768	2	-	-	PUNCT
ejpam-6227	768	3	making	make	VERB
ejpam-6227	768	4	problem	problem	NOUN
ejpam-6227	768	5	based	base	VERB
ejpam-6227	768	6	on	on	ADP
ejpam-6227	768	7	generalized	generalized	ADJ
ejpam-6227	768	8	interval	interval	NOUN
ejpam-6227	768	9	-	-	PUNCT
ejpam-6227	768	10	valued	value	VERB
ejpam-6227	768	11	bipolar	bipolar	ADJ
ejpam-6227	768	12	neutrosophic	neutrosophic	ADJ
ejpam-6227	768	13	einstein	einstein	PROPN
ejpam-6227	768	14	fuzzy	fuzzy	ADJ
ejpam-6227	768	15	aggregation	aggregation	NOUN
ejpam-6227	768	16	operator	operator	NOUN
ejpam-6227	768	17	.	.	PUNCT
ejpam-6227	769	1	soft	soft	ADJ
ejpam-6227	769	2	computing	computing	NOUN
ejpam-6227	769	3	,	,	PUNCT
ejpam-6227	769	4	27(20):14533–14551	27(20):14533–14551	NUM
ejpam-6227	769	5	,	,	PUNCT
ejpam-6227	769	6	2023	2023	NUM
ejpam-6227	769	7	.	.	PUNCT
ejpam-6227	770	1	[	[	X
ejpam-6227	770	2	56	56	NUM
ejpam-6227	770	3	]	]	PUNCT
ejpam-6227	770	4	a.	a.	NOUN
ejpam-6227	770	5	fahmi	fahmi	PROPN
ejpam-6227	770	6	.	.	PUNCT
ejpam-6227	770	7	particle	particle	NOUN
ejpam-6227	770	8	swarm	swarm	NOUN
ejpam-6227	770	9	optimization	optimization	NOUN
ejpam-6227	770	10	selection	selection	NOUN
ejpam-6227	770	11	based	base	VERB
ejpam-6227	770	12	on	on	ADP
ejpam-6227	770	13	the	the	DET
ejpam-6227	770	14	topsis	topsis	NOUN
ejpam-6227	770	15	technique	technique	NOUN
ejpam-6227	770	16	.	.	PUNCT
ejpam-6227	771	1	soft	soft	ADJ
ejpam-6227	771	2	computing	computing	NOUN
ejpam-6227	771	3	,	,	PUNCT
ejpam-6227	771	4	27(14):9225–9245	27(14):9225–9245	NUM
ejpam-6227	771	5	,	,	PUNCT
ejpam-6227	771	6	2023	2023	NUM
ejpam-6227	771	7	.	.	PUNCT
ejpam-6227	772	1	[	[	X
ejpam-6227	772	2	57	57	NUM
ejpam-6227	772	3	]	]	PUNCT
ejpam-6227	772	4	a.	a.	NOUN
ejpam-6227	772	5	fahmi	fahmi	PROPN
ejpam-6227	772	6	,	,	PUNCT
ejpam-6227	772	7	a.	a.	PROPN
ejpam-6227	772	8	khan	khan	PROPN
ejpam-6227	772	9	,	,	PUNCT
ejpam-6227	772	10	t.	t.	NOUN
ejpam-6227	772	11	abdeljawad	abdeljawad	NOUN
ejpam-6227	772	12	,	,	PUNCT
ejpam-6227	772	13	and	and	CCONJ
ejpam-6227	772	14	m.	m.	NOUN
ejpam-6227	772	15	a.	a.	PROPN
ejpam-6227	772	16	alqudah	alqudah	PROPN
ejpam-6227	772	17	.	.	PUNCT
ejpam-6227	773	1	natural	natural	ADJ
ejpam-6227	773	2	gas	gas	NOUN
ejpam-6227	773	3	based	base	VERB
ejpam-6227	773	4	on	on	ADP
ejpam-6227	773	5	combined	combine	VERB
ejpam-6227	773	6	fuzzy	fuzzy	ADJ
ejpam-6227	773	7	topsis	topsis	NOUN
ejpam-6227	773	8	technique	technique	NOUN
ejpam-6227	773	9	and	and	CCONJ
ejpam-6227	773	10	entropy	entropy	NOUN
ejpam-6227	773	11	.	.	PUNCT
ejpam-6227	774	1	heliyon	heliyon	NOUN
ejpam-6227	774	2	,	,	PUNCT
ejpam-6227	774	3	10(1	10(1	NUM
ejpam-6227	774	4	)	)	PUNCT
ejpam-6227	774	5	,	,	PUNCT
ejpam-6227	774	6	2024	2024	NUM
ejpam-6227	774	7	.	.	PUNCT
ejpam-6227	775	1	[	[	X
ejpam-6227	775	2	58	58	NUM
ejpam-6227	775	3	]	]	PUNCT
ejpam-6227	775	4	a.	a.	NOUN
ejpam-6227	775	5	fahmi	fahmi	PROPN
ejpam-6227	775	6	,	,	PUNCT
ejpam-6227	775	7	f.	f.	PROPN
ejpam-6227	775	8	amin	amin	PROPN
ejpam-6227	775	9	,	,	PUNCT
ejpam-6227	775	10	s.	s.	PROPN
ejpam-6227	775	11	abdullah	abdullah	PROPN
ejpam-6227	775	12	,	,	PUNCT
ejpam-6227	775	13	and	and	CCONJ
ejpam-6227	775	14	a.	a.	PROPN
ejpam-6227	775	15	ali	ali	PROPN
ejpam-6227	775	16	.	.	PROPN
ejpam-6227	775	17	cubic	cubic	PROPN
ejpam-6227	775	18	fuzzy	fuzzy	PROPN
ejpam-6227	775	19	einstein	einstein	PROPN
ejpam-6227	775	20	aggregation	aggregation	NOUN
ejpam-6227	775	21	operators	operator	NOUN
ejpam-6227	775	22	and	and	CCONJ
ejpam-6227	775	23	its	its	PRON
ejpam-6227	775	24	application	application	NOUN
ejpam-6227	775	25	to	to	ADP
ejpam-6227	775	26	decision	decision	NOUN
ejpam-6227	775	27	-	-	PUNCT
ejpam-6227	775	28	making	making	NOUN
ejpam-6227	775	29	.	.	PUNCT
ejpam-6227	776	1	international	international	ADJ
ejpam-6227	776	2	journal	journal	PROPN
ejpam-6227	776	3	of	of	ADP
ejpam-6227	776	4	systems	system	NOUN
ejpam-6227	776	5	science	science	NOUN
ejpam-6227	776	6	,	,	PUNCT
ejpam-6227	776	7	49(11):2385	49(11):2385	NUM
ejpam-6227	776	8	–	–	PUNCT
ejpam-6227	776	9	2397	2397	NUM
ejpam-6227	776	10	,	,	PUNCT
ejpam-6227	776	11	2018	2018	NUM
ejpam-6227	776	12	.	.	PUNCT
ejpam-6227	777	1	[	[	X
ejpam-6227	777	2	59	59	NUM
ejpam-6227	777	3	]	]	PUNCT
ejpam-6227	777	4	m.	m.	NOUN
ejpam-6227	777	5	akram	akram	PROPN
ejpam-6227	777	6	,	,	PUNCT
ejpam-6227	777	7	w.	w.	PROPN
ejpam-6227	777	8	a.	a.	PROPN
ejpam-6227	777	9	dudek	dudek	PROPN
ejpam-6227	777	10	,	,	PUNCT
ejpam-6227	777	11	and	and	CCONJ
ejpam-6227	777	12	f.	f.	PROPN
ejpam-6227	777	13	ilyas	ilyas	PROPN
ejpam-6227	777	14	.	.	PUNCT
ejpam-6227	778	1	group	group	NOUN
ejpam-6227	778	2	decision	decision	NOUN
ejpam-6227	778	3	-	-	PUNCT
ejpam-6227	778	4	making	making	NOUN
ejpam-6227	778	5	based	base	VERB
ejpam-6227	778	6	on	on	ADP
ejpam-6227	778	7	pythagorean	pythagorean	PROPN
ejpam-6227	778	8	fuzzy	fuzzy	ADJ
ejpam-6227	778	9	topsis	topsis	NOUN
ejpam-6227	778	10	method	method	NOUN
ejpam-6227	778	11	.	.	PUNCT
ejpam-6227	779	1	international	international	ADJ
ejpam-6227	779	2	journal	journal	NOUN
ejpam-6227	779	3	of	of	ADP
ejpam-6227	779	4	intelligent	intelligent	ADJ
ejpam-6227	779	5	systems	system	NOUN
ejpam-6227	779	6	,	,	PUNCT
ejpam-6227	779	7	34(7):1455–1475	34(7):1455–1475	PROPN
ejpam-6227	779	8	,	,	PUNCT
ejpam-6227	779	9	2019	2019	NUM
ejpam-6227	779	10	.	.	PUNCT
ejpam-6227	780	1	[	[	X
ejpam-6227	780	2	60	60	NUM
ejpam-6227	780	3	]	]	PUNCT
ejpam-6227	780	4	m.	m.	NOUN
ejpam-6227	780	5	akram	akram	PROPN
ejpam-6227	780	6	,	,	PUNCT
ejpam-6227	780	7	w.	w.	PROPN
ejpam-6227	780	8	a.	a.	PROPN
ejpam-6227	780	9	dudek	dudek	PROPN
ejpam-6227	780	10	,	,	PUNCT
ejpam-6227	780	11	and	and	CCONJ
ejpam-6227	780	12	j.	j.	PROPN
ejpam-6227	780	13	m.	m.	PROPN
ejpam-6227	780	14	dar	dar	PROPN
ejpam-6227	780	15	.	.	PUNCT
ejpam-6227	781	1	pythagorean	pythagorean	PROPN
ejpam-6227	781	2	dombi	dombi	PROPN
ejpam-6227	781	3	fuzzy	fuzzy	ADJ
ejpam-6227	781	4	aggregation	aggregation	NOUN
ejpam-6227	781	5	operators	operator	NOUN
ejpam-6227	781	6	with	with	ADP
ejpam-6227	781	7	application	application	NOUN
ejpam-6227	781	8	in	in	ADP
ejpam-6227	781	9	multicriteria	multicriteria	PROPN
ejpam-6227	781	10	decision	decision	NOUN
ejpam-6227	781	11	-	-	PUNCT
ejpam-6227	781	12	making	making	NOUN
ejpam-6227	781	13	.	.	PUNCT
ejpam-6227	782	1	international	international	ADJ
ejpam-6227	782	2	journal	journal	NOUN
ejpam-6227	782	3	of	of	ADP
ejpam-6227	782	4	intelligent	intelligent	ADJ
ejpam-6227	782	5	systems	system	NOUN
ejpam-6227	782	6	,	,	PUNCT
ejpam-6227	782	7	34(11):3000–3019	34(11):3000–3019	NUM
ejpam-6227	782	8	,	,	PUNCT
ejpam-6227	782	9	2019	2019	NUM
ejpam-6227	782	10	.	.	PUNCT
ejpam-6227	783	1	[	[	X
ejpam-6227	783	2	61	61	NUM
ejpam-6227	783	3	]	]	PUNCT
ejpam-6227	783	4	m.	m.	NOUN
ejpam-6227	783	5	akram	akram	PROPN
ejpam-6227	783	6	,	,	PUNCT
ejpam-6227	783	7	s.	s.	PROPN
ejpam-6227	783	8	naz	naz	PROPN
ejpam-6227	783	9	,	,	PUNCT
ejpam-6227	783	10	f.	f.	PROPN
ejpam-6227	783	11	feng	feng	PROPN
ejpam-6227	783	12	,	,	PUNCT
ejpam-6227	783	13	and	and	CCONJ
ejpam-6227	783	14	a.	a.	PROPN
ejpam-6227	783	15	shafiq	shafiq	PROPN
ejpam-6227	783	16	.	.	PUNCT
ejpam-6227	783	17	assessment	assessment	NOUN
ejpam-6227	783	18	of	of	ADP
ejpam-6227	783	19	hydropower	hydropower	NOUN
ejpam-6227	783	20	plants	plant	NOUN
ejpam-6227	783	21	in	in	ADP
ejpam-6227	783	22	pakistan	pakistan	PROPN
ejpam-6227	783	23	:	:	PUNCT
ejpam-6227	783	24	muirhead	muirhead	NOUN
ejpam-6227	783	25	mean	mean	NOUN
ejpam-6227	783	26	-	-	PUNCT
ejpam-6227	783	27	based	base	VERB
ejpam-6227	783	28	2	2	NUM
ejpam-6227	783	29	-	-	PUNCT
ejpam-6227	783	30	tuple	tuple	NOUN
ejpam-6227	783	31	linguistic	linguistic	ADJ
ejpam-6227	783	32	t	t	PROPN
ejpam-6227	783	33	-	-	PUNCT
ejpam-6227	783	34	spherical	spherical	ADJ
ejpam-6227	783	35	fuzzy	fuzzy	ADJ
ejpam-6227	783	36	model	model	NOUN
ejpam-6227	783	37	combining	combine	VERB
ejpam-6227	783	38	swara	swara	NOUN
ejpam-6227	783	39	with	with	ADP
ejpam-6227	783	40	copras	copra	NOUN
ejpam-6227	783	41	.	.	PUNCT
ejpam-6227	784	1	arabian	arabian	ADJ
ejpam-6227	784	2	journal	journal	PROPN
ejpam-6227	784	3	for	for	ADP
ejpam-6227	784	4	science	science	NOUN
ejpam-6227	784	5	and	and	CCONJ
ejpam-6227	784	6	engineering	engineering	NOUN
ejpam-6227	784	7	,	,	PUNCT
ejpam-6227	784	8	48(5):5859–5888	48(5):5859–5888	NUM
ejpam-6227	784	9	,	,	PUNCT
ejpam-6227	784	10	2023	2023	NUM
ejpam-6227	784	11	.	.	PUNCT
ejpam-6227	785	1	[	[	X
ejpam-6227	785	2	62	62	NUM
ejpam-6227	785	3	]	]	X
ejpam-6227	785	4	g.	g.	PROPN
ejpam-6227	785	5	anusha	anusha	PROPN
ejpam-6227	785	6	,	,	PUNCT
ejpam-6227	785	7	p.	p.	NOUN
ejpam-6227	785	8	v.	v.	PROPN
ejpam-6227	785	9	ramana	ramana	PROPN
ejpam-6227	785	10	,	,	PUNCT
ejpam-6227	785	11	and	and	CCONJ
ejpam-6227	785	12	r.	r.	PROPN
ejpam-6227	785	13	sarkar	sarkar	PROPN
ejpam-6227	785	14	.	.	PUNCT
ejpam-6227	786	1	hybridizations	hybridization	NOUN
ejpam-6227	786	2	of	of	ADP
ejpam-6227	786	3	archimedean	archimedean	ADJ
ejpam-6227	786	4	copula	copula	NOUN
ejpam-6227	786	5	and	and	CCONJ
ejpam-6227	786	6	generalized	generalized	ADJ
ejpam-6227	786	7	msm	msm	NOUN
ejpam-6227	786	8	operators	operator	NOUN
ejpam-6227	786	9	and	and	CCONJ
ejpam-6227	786	10	their	their	PRON
ejpam-6227	786	11	applications	application	NOUN
ejpam-6227	786	12	in	in	ADP
ejpam-6227	786	13	interactive	interactive	ADJ
ejpam-6227	786	14	decision	decision	NOUN
ejpam-6227	786	15	-	-	PUNCT
ejpam-6227	786	16	making	making	NOUN
ejpam-6227	786	17	with	with	ADP
ejpam-6227	786	18	q	q	ADJ
ejpam-6227	786	19	-	-	PUNCT
ejpam-6227	786	20	rung	rung	ADJ
ejpam-6227	786	21	probabilistic	probabilistic	ADJ
ejpam-6227	786	22	dual	dual	ADV
ejpam-6227	786	23	hesitant	hesitant	ADJ
ejpam-6227	786	24	fuzzy	fuzzy	ADJ
ejpam-6227	786	25	environment	environment	NOUN
ejpam-6227	786	26	.	.	PUNCT
ejpam-6227	787	1	decision	decision	NOUN
ejpam-6227	787	2	making	making	NOUN
ejpam-6227	787	3	:	:	PUNCT
ejpam-6227	787	4	applications	application	NOUN
ejpam-6227	787	5	in	in	ADP
ejpam-6227	787	6	management	management	NOUN
ejpam-6227	787	7	and	and	CCONJ
ejpam-6227	787	8	engineering	engineering	NOUN
ejpam-6227	787	9	,	,	PUNCT
ejpam-6227	787	10	6(1):646–678	6(1):646–678	NUM
ejpam-6227	787	11	,	,	PUNCT
ejpam-6227	787	12	2023	2023	NUM
ejpam-6227	787	13	.	.	PUNCT
ejpam-6227	788	1	[	[	X
ejpam-6227	788	2	63	63	NUM
ejpam-6227	788	3	]	]	PUNCT
ejpam-6227	788	4	krassimir	krassimir	PROPN
ejpam-6227	788	5	t.	t.	PROPN
ejpam-6227	788	6	atanassov	atanassov	PROPN
ejpam-6227	788	7	.	.	PUNCT
ejpam-6227	789	1	intuitionistic	intuitionistic	ADJ
ejpam-6227	789	2	fuzzy	fuzzy	ADJ
ejpam-6227	789	3	sets	set	NOUN
ejpam-6227	789	4	.	.	PUNCT
ejpam-6227	790	1	fuzzy	fuzzy	ADJ
ejpam-6227	790	2	sets	set	NOUN
ejpam-6227	790	3	and	and	CCONJ
ejpam-6227	790	4	systems	system	NOUN
ejpam-6227	790	5	,	,	PUNCT
ejpam-6227	790	6	20(1):87–96	20(1):87–96	NUM
ejpam-6227	790	7	,	,	PUNCT
ejpam-6227	790	8	1986	1986	NUM
ejpam-6227	790	9	.	.	PUNCT
ejpam-6227	791	1	[	[	X
ejpam-6227	791	2	64	64	NUM
ejpam-6227	791	3	]	]	PUNCT
ejpam-6227	791	4	b.	b.	PROPN
ejpam-6227	791	5	bairagi	bairagi	PROPN
ejpam-6227	791	6	.	.	PUNCT
ejpam-6227	792	1	a	a	DET
ejpam-6227	792	2	homogeneous	homogeneous	ADJ
ejpam-6227	792	3	group	group	NOUN
ejpam-6227	792	4	decision	decision	NOUN
ejpam-6227	792	5	making	make	VERB
ejpam-6227	792	6	for	for	ADP
ejpam-6227	792	7	selection	selection	NOUN
ejpam-6227	792	8	of	of	ADP
ejpam-6227	792	9	robotic	robotic	ADJ
ejpam-6227	792	10	systems	system	NOUN
ejpam-6227	792	11	using	use	VERB
ejpam-6227	792	12	extended	extended	ADJ
ejpam-6227	792	13	topsis	topsis	NOUN
ejpam-6227	792	14	under	under	ADP
ejpam-6227	792	15	subjective	subjective	ADJ
ejpam-6227	792	16	and	and	CCONJ
ejpam-6227	792	17	objective	objective	ADJ
ejpam-6227	792	18	factors	factor	NOUN
ejpam-6227	792	19	.	.	PUNCT
ejpam-6227	793	1	decision	decision	NOUN
ejpam-6227	793	2	making	making	NOUN
ejpam-6227	793	3	:	:	PUNCT
ejpam-6227	793	4	applications	application	NOUN
ejpam-6227	793	5	in	in	ADP
ejpam-6227	793	6	management	management	NOUN
ejpam-6227	793	7	and	and	CCONJ
ejpam-6227	793	8	engineering	engineering	NOUN
ejpam-6227	793	9	,	,	PUNCT
ejpam-6227	793	10	5(2):300–315	5(2):300–315	NUM
ejpam-6227	793	11	,	,	PUNCT
ejpam-6227	793	12	2022	2022	NUM
ejpam-6227	793	13	.	.	PUNCT
ejpam-6227	794	1	[	[	X
ejpam-6227	794	2	65	65	NUM
ejpam-6227	794	3	]	]	X
ejpam-6227	794	4	c.	c.	PROPN
ejpam-6227	794	5	ghenai	ghenai	PROPN
ejpam-6227	794	6	,	,	PUNCT
ejpam-6227	794	7	o.	o.	PROPN
ejpam-6227	794	8	a.	a.	PROPN
ejpam-6227	794	9	a.	a.	PROPN
ejpam-6227	794	10	al	al	PROPN
ejpam-6227	794	11	-	-	PUNCT
ejpam-6227	794	12	mufti	mufti	PROPN
ejpam-6227	794	13	,	,	PUNCT
ejpam-6227	794	14	o.	o.	PROPN
ejpam-6227	794	15	a.	a.	PROPN
ejpam-6227	794	16	m.	m.	PROPN
ejpam-6227	795	1	al	al	PROPN
ejpam-6227	795	2	-	-	PUNCT
ejpam-6227	795	3	isawi	isawi	PROPN
ejpam-6227	795	4	,	,	PUNCT
ejpam-6227	795	5	l.	l.	PROPN
ejpam-6227	795	6	h.	h.	PROPN
ejpam-6227	795	7	l.	l.	PROPN
ejpam-6227	795	8	amirah	amirah	PROPN
ejpam-6227	795	9	,	,	PUNCT
ejpam-6227	795	10	and	and	CCONJ
ejpam-6227	795	11	a.	a.	NOUN
ejpam-6227	795	12	merabet	merabet	NOUN
ejpam-6227	795	13	.	.	PUNCT
ejpam-6227	796	1	short	short	ADJ
ejpam-6227	796	2	-	-	PUNCT
ejpam-6227	796	3	term	term	NOUN
ejpam-6227	796	4	building	building	NOUN
ejpam-6227	796	5	electrical	electrical	ADJ
ejpam-6227	796	6	load	load	NOUN
ejpam-6227	796	7	forecasting	forecasting	NOUN
ejpam-6227	796	8	using	use	VERB
ejpam-6227	796	9	adaptive	adaptive	ADJ
ejpam-6227	796	10	neuro	neuro	NOUN
ejpam-6227	796	11	-	-	PUNCT
ejpam-6227	796	12	fuzzy	fuzzy	ADJ
ejpam-6227	796	13	inference	inference	NOUN
ejpam-6227	796	14	system	system	NOUN
ejpam-6227	796	15	(	(	PUNCT
ejpam-6227	796	16	anfis	anfis	PROPN
ejpam-6227	796	17	)	)	PUNCT
ejpam-6227	796	18	.	.	PUNCT
ejpam-6227	797	1	journal	journal	PROPN
ejpam-6227	797	2	of	of	ADP
ejpam-6227	797	3	building	build	VERB
ejpam-6227	797	4	engineering	engineering	NOUN
ejpam-6227	797	5	,	,	PUNCT
ejpam-6227	797	6	52:104323	52:104323	NUM
ejpam-6227	797	7	,	,	PUNCT
ejpam-6227	797	8	2022	2022	NUM
ejpam-6227	797	9	.	.	PUNCT
